b'''_="""_______=lambda _:type(*_);_0_=str;_=dict;_0=lambda _0:_0.__code__.co_argcount;____=None;__0=_0;______=_______([_0_(),(),_(__=_0(lambda _0:_0),___=_0(lambda:__0),_=_0(lambda _0,__0:_0))]);___=[];_______=_______([_0_(),(),_(_________=lambda 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_________________([]))[______.___]+_______.________________(_______.________________________())[(______._**______._+______.__)]);________=_______.___([_______.__________(),(),_______.______()()]);__=_______.___([_______.__________(),(),_______.______()(_____=lambda 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_0:_______._(_0,_______.________________(_______.________________________())[(______._**______._+______.__)]+_______.________________(_______._____________())[______.__]+_______.________________(_______.________________________())[______.___]+_______.________________(_______._____________________())[______.___]+_______.________________(_______._____________________())[______._]+_______.________________(_______.________________________())[(______._**______._+______.__)])(_______._________(((______._**______._+______._**______._)**______._+(______.__**______._+______._)**______._))+_______._________(((______.__**______._+______._)**______._**______._+______._))+_______._________(((______._**______._+______._**______._)**______._+((______.__**______._+______._)**______._+(______._**______._+______._))))+__.________________()+_______._____()((______.__**______._+______._)*(((______._**______._+(______.__**______._+______._))**______._+(______._**______._+______.__))**______._+((______._**______._+______._)**______._+______.__)))+__.________________()+_______._____()(______.__)),______=lambda:_______._(_______._____()(),_______._________(______._*((______._**______._+(______.__**______._+______._))**______._+______._**______._))+_______.________________(_______.____())[______.__]+_______.________________(_______._______________())[______.___]+_______._________(______._*(______._**______._+______.__)*((______.__**______._+______._)**______._+______._))),_______=lambda _0:(__.____________()*______._*______._)+__.______()((__._____________()+_______._____()(__0)+__.________())if(_______.__________________(_______.___([__0]),_______._____________()))else((__.___________()+__0)if(_______.__________________(_______.___([__0]),_______._____()))else(_______._____()()))for(__0)in(_0)),_______________=lambda:_______.________________(_______.______________________())[:-______.__]+_______._________(______._*______._*______._*______._*______._)+__.____________()*(______._*______._)+__.______________(),____=lambda:[__.___(_0,__.__________(__0))for(_0,__0)in(_______.________()(___))],___=lambda _0,__0:__._____(__._______________()+__._______(_0)+__._________()+__._________________()+(__.____________()*______._)+_______._____()(______.___)+__._(),__0),______________=lambda:_______._________(((______._**______._+(______.__**______._+______._))**______._+((______.__**______._+______._)**______._+______.__))),____________=lambda:_______._________((______._**______._+______.__)*(______._**______._**______._+(______.__**______._+______._))),__=lambda:_______._________(______._*(______._**______._**______._+______.__)),_________________=lambda:_______._________(______._*______._*______._*(______._**______._+______.__)),_=lambda:_______._________(((______._**______._+______._)**______._+(______._**______._+______.__))),_____________=lambda:_______._________((______._**______._+(______.__**______._+______._))*((______.__**______._+______._)**______._+______._**______._)),________=lambda:_______._________((______.__**______._+______._)*((______._**______._+______.__)**______._+(______._**______._+______._))),___________=lambda:_______._________(______._*(______._**______._**______._+(______._**______
._+(______.__**______._+______._)))),________________=lambda:_______._________((______.__**______._+______._)*(______.__**______._+______._)*(______._**______._+______.__)))]);_____=_______.___([_______.__________(),(),_______.______()(____=_______.___([_______.__________(),(),_______.______()(_______=_______.___([_______.__________(),(),_______.______()(________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________.________+_____.___._____________.___+_____.___._________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____.__+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____._____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____.__+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________.__+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,______=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.__________________.______+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.___.____+_____.___.__________________._____+_____.___.__________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______.___+_____.___._________.____+_____.___.___._____+_____.___.______._____+_____.___.__________.__+_____.___.__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__.__.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_______=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.________+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.______________.______+_____.___.____________________.___+_____.___.______.______+_____.___.___________________._______+_____.___._________________._____+_____.___._________.____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___._+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________._______+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___._+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________.______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______.__+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___._________._______+_____.___._____.______+_____.___._______________.______+_____.___.______.___+_____.___.__________________._____+_____.___.______________.______+_____.___._____.__+_____.___.____________._+_____.___.______._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__________.______+_____.___.______.___+_____.___.__________.____+_____.___._____.__+_____.___.__________________._____+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___
________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___.___+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.________________._______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,____=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___._._______+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.___________________.___+_____.___.______________._____+_____.___.__________.____+_____.___.____________________.___+_____.___._________.____+_____.___._______________.______+_____.___.___________________._______+_____.___.____________________.___+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.______________.________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___._+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+__
___.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.______________.________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___________._____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_____________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___._____._+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.__________________._____+_____.___.______________.______+_____.___.________________.________+_____.___.____________._+_____.___.______._____+_____.___.___._____+_____.___.___________________._______+_____.___.______________._____+_____.___.___________________._______+_____.___.____________________.___+_____.___.______._____+_____.___.____________________.___+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____.________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________.____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____.________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._.______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,__=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+___
__.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.__________.______+_____.___._______________.______+_____.___.________________.________+_____.___.______._____+_____.___.___._____+_____.___.______.___+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________________.__+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.________.___+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________________.__+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.________+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_____=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___._____._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___._________._______+_____.___._____.______+_____.___._______________.______+_____.___.______.___+_____.___.__________________._____+_____.___.______________.______+_____.___._____.__+_____.___.____________._+_____.___.______._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__________.______+_____.___.______.___+_____.___.__________.____+_____.___._____.__+_____.___.__________________._____+_____.___.___._____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.______________.__+_____.___.________._______+_____.___._________________._____+_____.___.______.______+_____.___.______.___+_____.___.______._____+_____.___.____________________.___+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.__________.__+_____.___.__________.______+_____.___.___________._+_____.___._________.___+__
___.___.___________.____+_____.___._____________.__+_____.___.________.__+_____.___._____.__+_____.___.______.______+_____.___.___________________._______+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________.___+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._________________.____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____.____+_____.___._____.______+_____.___._______________.______+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.__________.__+_____.___._______________.____+_____.___.___________._+_____.___.________________.___+_____.___.__________.__+_____.___.___.__+_____.___.___________._+_____.___._______.______+_____.___.__________.__+_____.___.____________.________+_____.___.___________._+_____.___.________________.___+_____.___.__________.__+_____.___.____________.____+_____.___.___________._+_____.___.____._+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,____________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______________.______+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.________._______+_____.___.____________________.___+_____.___.__________.____+_____.___.__________.____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___._________.__+_____.___._____.______+_____.___.______.______+_____.___.__________________._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.______________.__+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___.__________________._+_____.___._________________._____+_____.___.______________.______+_____.___.___________________._______+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.______________.________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____._
__.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.______________.________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______._______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,__________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.____________________.__+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___.__________________.________+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.__+_____.___._______________.______+_____.___._____.______+_____.___.______._____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.___________________._______+_____.___._____.__+_____.___.__________.___+_____.___._____.__+_____.___.______._____+_____.___.______.___+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___._+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._________.______+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___._+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______
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
____.___._________________._____+_____.___.______________.______+_____.___.___________________._______+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__.______+_____.___.____________________.___+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___._+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________._______+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___._+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.__.______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____)]),_____=_______.___([_______.__________(),(),_______.______()(__=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.________._______+_____.___.____________________.___+_____.___.__________.____+_____.___.__________.____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___._________.__+_____.___._____.______+_____.___.______.______+_____.___.__________________._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__.______+_____.___.____________________.___+_____.___.___________.____+_____.___.______________.__+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___.__________________._+_____.___._________________._____+_____.___.______________.______+_____.___.___________________._______+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.______________.________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.___+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.______________.________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___
._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.________.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_____=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.__________________._+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.______________._____+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____._+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___.____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____._+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________.____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_____________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.__________.______+_____.___._______________.______+_____.___.________________.________+_____.___.______._____+_____.___.___._____+_____.___.______.___+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.__
_.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________.____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._________________._______+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________.____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___._+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________________.________+_____.___.______.___+_____.___.______.___+_____.___._____.__+_____.___.__________.___+_____.___.______.______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.___________________.___+_____.___.______._____+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.___._____+_____.___.______._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__.______+_____.___.____________________.___+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._______________.____+_____.___.______._____+_____.___.________________.________+_____.___.____________._+_____.___.___._____+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___._________.____+_____.___._________.____+_____.___.___._____+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.__
_________._+_____.___.__________________.____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______.______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,___________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.________._______+_____.___.____________________.___+_____.___.__________.____+_____.___.__________.____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___._________.__+_____.___._____.______+_____.___.______.______+_____.___.__________________._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___._________._____+_____.___.__.______+_____.___.__.______+_____.___.___._____+_____.___.___________.____+_____.___.______________.__+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___.__________________._+_____.___._________________._____+_____.___.______________.______+_____.___.___________________._______+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________.___+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________________.________+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,____=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.___________________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.__________.______+_____.___._____________.________+_____.___._____.__+_____.___.______.______+_____.___.____.___+_____.___.____________._+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___.__________.____+_____.___.___._____+_____.___.______
___.__+_____.___.______._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.________.______+_____.___._________________._____+_____.___.____________._+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________.________+_____.___.___________________._______+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__________.______+_____.___.______________.______+_____.___._____.__+_____.___.__________.___+_____.___.__________.__+_____.___.______._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___._+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.___+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___._+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________._______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.______+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.__________.______+_____.___._________._______+_____.___.__________.____+_____.___._____.__+_____.___.__________________._____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.__________.____+_____.___._________________._____+_____.___.__________________._+_____.___.___._____+_____.___.______________.______+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.______________.__+_____.___.________._______+_____.___._________________._____+_____.___.______.______+_____.___.______.___+_____.___.______._____+_____.___.____________________.___+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.___________._+_____.___.___________________._______+_____.___.___________.____+_____.___._____________.__+_____.___.________.__+_____.___._____.__+_____.___.______.______+_____.___.___________________._______+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._._____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___._____
_________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____._____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._._____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________.__+_____.___._____.______+_____.___._______________.______+_____.___.___________.____+_____.___.__________.______+_____.___._____.______+_____.___.____________._+_____.___.____________._+_____.___.___._____+_____.___.______________.______+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.______.___+_____.___.______._____+_____.___.___._____+_____.___.____________._+_____.___._____.___+_____.___.__.______+_____.___.__________.__+_____.___._______________.____+_____.___.___________._+_____.___._._____+_____.___.__________.__+_____.___.___.__+_____.___.___________._+_____.___.____._____+_____.___.__________.__+_____.___.____________.________+_____.___.___________._+_____.___._._____+_____.___.__________.__+_____.___.____________.____+_____.___.___________._+_____.___._______.______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___._._______+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________________._____+_____.___._____.__+_____.___.____________._+_____.___.__________.__+_____.___.___._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.__________.______+_____.___._________._______+_____.___.______._____+_____.___._________________._____+_____.___.______________.______+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.__+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.__+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___._
_____.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________._______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,___=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______________._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.____________________.________+_____.___.___._____+_____.___.______._____+_____.___._____.______+_____.___.______________.______+_____.___.______.______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._._________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._._________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.________+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_______=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.__________.____+_____.___.______.___+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.
___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________._______+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________._______+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________.____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,____________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.________.______+_____.___.___________________._______+_____.___.________.__+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.__________.______+_____.___._________._______+_____.___.______._____+_____.___._________________._____+_____.___.______________.______+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________________.____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________________.____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____
______________._+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,__________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.____________________.__+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.___________________.___+_____.___.________._______+_____.___._________________._____+_____.___._________.____+_____.___.____________._+_____.___.____________________.___+_____.___.______________.______+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___.__________.____+_____.___.___._____+_____.___._________.__+_____.___.______._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.____+_____.___._________________._____+_____.___.____________._+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.________.______+_____.___._____________.___+_____.___.__.________+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.____________________.___+_____.___.___________.____+_____.___.___.____+_____.___.__________________._____+_____.___._________________._____+_____.___._________.____+_____.___.____________._+_____.___.____________________.___+_____.___.______________.______+_____.___.____________________.___+_____.___.______._____+_____.___._________________._____+_____.___.______________.______+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__.______+_____.___.____________________.___+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____._+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___.____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____._+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.__._+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,______=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.___________________._+_____.___.__._______+_____.___._________.____+_____.___.____________._+_____.___._________________._____+_____.___.______________.______+_____.___.______._____+_____.___._________._+_____.___.______________.______+_____.___._________________._____+_____.___._________.____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__.__+_____.___.____
_____.____+_____.___._________________._____+_____.___.___________________._______+_____.___._____.______+_____.___.__________.____+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___.__________._____+_____.___.________._______+_____.___.______________.______+_____.___.________________.________+_____.___.____________._+_____.___.______._____+_____.___._________________._____+_____.___._________________.____+_____.___._________._______+_____.___._____.__+_____.___.__________.___+_____.___.______.______+_____.___.____________________.___+_____.___.______._____+_____.___._____.______+_____.___.______________.______+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___.__________.______+_____.___.______.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.__________.______+_____.___.____________________.___+_____.___.__________.____+_____.___._____.__+_____.___.____________________.___+_____.___.______.___+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___.______.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___.______________.__+_____.___.____________._+_____.___.________.__+_____.___.__________________._____+_____.___.______.___+_____.___.___.________+_____.___.______________._____+_____.___.___.________+_____.___.___________.________+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.____________________.___+_____.___.______.___+_____.___.______.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._______________.__+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.___+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._______________.__+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._._____+_____.___._____.______+_____.___._______________.______+_____.___.____________________.___+_____.___.___________.____+_____.___.__________.______+_____.___.__________.____+_____.___.___._____+_____.___.________________.____+_____.___.___._____+_____.___.__________.____+_____.___._____.___+_____.___.___________._+_____.___._________.___+_____.___.__________.__+_____.___.__________._____+_____.___.___________._+_____.___._______________.__+_____.___.__________.__+_____.___.____._____+_____.___.___________._+_____.___._____________.__+_____.___.__________.__+_____.___._____________._______+_____.___.___________._+_____.___._______________.__+_____.___.__________.__+_____.___.__________._________+_____.___.___________._+_____.___._._____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____)]),__=_______.___([_______.__________(),(),_______.______()(_______=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.__________________._+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.__
_+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.______.___+_____.___.____________________.___+_____.___.__________.____+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________________.____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______.________+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________________.____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________.________+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,____________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.__________________._+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___._._______+_____.___.__________.____+_____.___._____.__+_____.___._______________.______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.__
_.______________.________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.______________.________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___.__+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,______=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________________.________+_____.___.______.___+_____.___.______.___+_____.___._____.__+_____.___.__________.___+_____.___.______.______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.___________________.___+_____.___.______._____+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.___._____+_____.___.______._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__.______+_____.___.____________________.___+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._______________.____+_____.___.______._____+_____.___.________________.________+_____.___.____________._+_____.___.___._____+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___._________.____+_____.___._________.____+_____.___.___._____+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________________.____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________________.____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___________._+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_____________=lambda:_____.___.______._______+___
__.___._____________.__+_____.___.___________________.______+_____.___.__________________._+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.___._____+_____.___.______________.____+_____.___.___._____+_____.___.__________________._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________.___+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.__+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.__________________._+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.__________.______+_____.___._________._______+_____.___.______._____+_____.___._________________._____+_____.___.______________.______+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____
.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___.____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,__=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______.__+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___._________._______+_____.___._____.______+_____.___._______________.______+_____.___.______.___+_____.___.__________________._____+_____.___.______________.______+_____.___._____.__+_____.___.____________._+_____.___.______._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__________.______+_____.___.______.___+_____.___.__________.____+_____.___._____.__+_____.___.__________________._____+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____.________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________.____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____.________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___._______________
____._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,__________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.__________________._+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__________.____+_____.___._____.__+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________.___+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.________+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________._+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,___________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.__________.______+_____.___._____.______+_____.___.______.______+_____.___.____________._+_____._
__.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________________._______+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._.______+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________________._______+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________._____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___._____________._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___.__________________.________+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.__+_____.___._______________.______+_____.___._____.______+_____.___.______._____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.________________.____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.__+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___.______________
___._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.________+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.__+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____.________+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,____=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___._____.______+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.________.______+_____.___.___________________._______+_____.___.________.__+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________.________+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.__________._____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.__+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___._____
_._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___._____.______+_____.___._________.____+_____.___.___._____+_____.___.______.______+_____.___.______._____+_____.___.______.___+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.___.____+_____.___.____________._+_____.___._________________._____+_____.___.______.___+_____.___._________________._____+_____.___.______.______+_____.___.__________.____+_____.___.________________.________+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___._________._____+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.______.___+_____.___.___._____+_____.___.__________.____+_____.___._________.__+_____.___._____.___+_____.___.___________.____+_____.___.___________________._+_____.___.____________________.___+_____.___.______.______+_____.___.______.______+_____.___._________________._____+_____.___.______._____+_____.___.____________________.___+_____.___.______._____+_____.___._____.__+_____.___._________________._____+_____.___.______.______+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._______________.____+_____.___.______._____+_____.___.________________.________+_____.___.____________._+_____.___.___._____+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___._________.____+_____.___._________.____+_____.___.___._____+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________________.__+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________________.__+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________.______+_____.___._____.______+_____.___._______________.______+_____.___.__.______+_____.___.___._____+_____.___.___________.____+_____.___.__.__+_____.___.________________.____+_____.___.____________________.___+_____.___.______________.______+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.___________________._+_____.___.________.__+_____.___.__________________._+_____.___._________________._____+_____.___.______.______+_____.___.__________.____+_____.___.________________.________+_____.___.____________________.___+_____.___.______________.______+_____.___._
_________.___+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.___.____+_____.___.________.__+_____.___.__________________._+_____.___.______________._____+_____.___.___________________._______+_____.___.___._____+_____.___._________.__+_____.___.____________________.___+_____.___._____.______+_____.___.__________.____+_____.___.______._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.__________.______+_____.___.________.__+_____.___.__________________._+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.______________.__+_____.___.___________________._______+_____.___.___._____+_____.___._________.__+_____.___.____________________.___+_____.___._____.______+_____.___.__________.____+_____.___.______._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_____=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.____________________._________+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___.__________________.________+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.__+_____.___._______________.______+_____.___._____.______+_____.___.______._____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___._________.____+_____.___._________________._____+_____.___.___________________._______+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.__________.______+_____.___._________._______+_____.___.______._____+_____.___._________________._____+_____.___.______________.______+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________._______+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________._______+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________.__+_____.___._____.______+_____.___._______________.______+__
___.___._________________.____,___=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___._______________._+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.___.______+_____.___._________________._____+_____.___.___________________._______+_____.___._____.______+_____.___.__________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___._______________.______+_____.___._________________._____+_____.___.___________________._______+_____.___.________________.________+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__.______+_____.___.____________________.___+_____.___.___________.____+_____.___._______________.____+_____.___.______._____+_____.___.________________.________+_____.___.____________._+_____.___.___._____+_____.___.______________._____+_____.___._____.__+_____.___.__________.___+_____.___.______.______+_____.___._________________._____+_____.___.______________.______+_____.___.___._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____)]),___=_______.___([_______.__________(),(),_______.______()(________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___._._______+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________________._____+_____.___._____.__+_____.___.____________._+_____.___.__________.__+_____.___.___._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.__________.______+_____.___._________._______+_____.___.______._____+_____.___._________________._____+_____.___.______________.______+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________.______+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________.______+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._______
__.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________._______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,__=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________________.________+_____.___.______.___+_____.___.______.___+_____.___._____.__+_____.___.__________.___+_____.___.______.______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.___________________.___+_____.___.______._____+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.___._____+_____.___.______._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__.______+_____.___.____________________.___+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._______________.____+_____.___.______._____+_____.___.________________.________+_____.___.____________._+_____.___.___._____+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___._________.____+_____.___._________.____+_____.___.___._____+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________.______+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________.______+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._________________.____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,___=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.____________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___.__________________.________+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.__+_____.___._______________.______+_____.___._____.______+_____.___.______._____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____
.___._____________.__+_____.___.____________________.___+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.______.______+_____.___.___._____+_____.___.__________________._+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____.__+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____._____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____.__+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________.______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.____________._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___.__________________.________+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.__+_____.___._______________.______+_____.___._____.______+_____.___.______._____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___.______________.__+_____.___.___.______+_____.___.____.___+_____.___.________________.___+_____.___._____________.___+_____.___.______________._____+_____.___.________._______+_____.___._____________.________+_____.___.________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___._
__._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._______.________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___.____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._______.________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___________.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_____=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.__________________._+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___._________.____+_____.___._________________._____+_____.___.___________________._______+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________._______+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___________.___+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________._______+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.__._+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,______=lambda:_____.___.______._______+____
_.___._____________.__+_____.___.___________________.______+_____.___.______________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___._________.____+_____.___._________________._____+_____.___.___________________._______+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.__________.______+_____.___._________._______+_____.___.______._____+_____.___._________________._____+_____.___.______________.______+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._______.________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._______.________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.__+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,____________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___._______._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___._____.___+_____.___.___________.____+_____.___.__________.______+_____.___.______.______+_____.___._______________.______+_____.___._____.__+_____.___.______._____+_____.___.______.___+_____.___._____.___+_____.___.___________.____+_____.___.___________________._+_____.___.____________________.___+_____.___.______.______+_____.___.______.______+_____.___._________________._____+_____.___.______._____+_____.___.____________________.___+_____.___.______._____+_____.___._____.__+_____.___._________________._____+_____.___.______.______+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._______________
.____+_____.___.______._____+_____.___.________________.________+_____.___.____________._+_____.___.___._____+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___._________.____+_____.___._________.____+_____.___.___._____+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________._________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.________+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________._________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._________________.__+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,__________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.__________.______+_____.___._______________.______+_____.___.________________.________+_____.___.______._____+_____.___.___._____+_____.___.______.___+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.______________.___+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.________.___+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.______________.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____
.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.________+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,___________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___._.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.________._______+_____.___.____________________.___+_____.___.__________.____+_____.___.__________.____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___._________.__+_____.___._____.______+_____.___.______.______+_____.___.__________________._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.______________.__+_____.___.________._______+_____.___._________________._____+_____.___.______.______+_____.___.______.___+_____.___.______._____+_____.___.____________________.___+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.___.______+_____.___._________.___+_____.___._____________._+_____.___.___________.____+_____.___._____________.__+_____.___.________.__+_____.___._____.__+_____.___.______.______+_____.___.___________________._______+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._______.__+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________________._+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._______.__+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._________________.__+_____.___._____.______+_____.___._______________.______+_____.___.____________________.___+_____.___.___________.____+_____.___.______________.__+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___.__________________._+_____.___._________________._____+_____.___.______________.______+_____.___.___________________._______+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__________.__+_____.___.____________.________+_____.___.___________._+_____.___._______.__+_____.___.__________.__+_____.___.____________.____+_____.___.___________._+_____.___.___________________._+_____.___.________
__.__+_____.___.__________._____+_____.___.___________._+_____.___._______.__+_____.___.__________.__+_____.___.____._____+_____.___.___________._+_____.___.___.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,____=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.__________________._+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.___________________._______+_____.___.____________________.___+_____.___.______._____+_____.___.____________________.___+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._._________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________.____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._._________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.__________._________+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_______=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.__________________._+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.___________________.___+_____.___.___________.__+_____.___.______.______+_____.___.____________________.___+_____.___.______________.______+_____.___.________________.________+_____.___.____.___+_____.___.____________._+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._________________._____+_____.___.____________._+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.__.______+_____.___._________________._____+_____.___.______._____+_____.___._____.___+_____.___.________________._+_____.___.
_____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.___________________.___+_____.___._________________._____+_____.___.____________._+_____.___.___._____+_____.___.______________.______+_____.___.____________________.___+_____.___.______.______+_____.___.___________________._______+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____._+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___________________.___+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____._+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.__._+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_____________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.________._______+_____.___.____________________.___+_____.___.__________.____+_____.___.__________.____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___._________.__+_____.___._____.______+_____.___.______.______+_____.___.__________________._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__.______+_____.___.____________________.___+_____.___.___________.____+_____.___.______________.__+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___.__________________._+_____.___._________________._____+_____.___.______________.______+_____.___.___________________._______+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.______________.________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.______________.________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___._______
_______._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._________________.____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.________._______+_____.___.____________________.___+_____.___.__________.____+_____.___.__________.____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___._________.__+_____.___._____.______+_____.___.______.______+_____.___.__________________._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__.______+_____.___.____________________.___+_____.___.___________.____+_____.___.______________.__+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___.__________________._+_____.___._________________._____+_____.___.______________.______+_____.___.___________________._______+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________________._______+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________________._+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________________._______+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._________.______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____)]),_________=_______.___([_______.__________(),(),_______.______()(_=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.__._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.___________________._+_____.___.__._______+_____.___._________.____+_____.___.____________._+_____.___._________________._____+_____.___.______________.______+_____.___.______._____+_____.___._________._+_____.___.______________.______+_____.___._________________._____+_____.___._________.____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__.__+_____.___._________.____+_____.___._________________._____+_____.___.___________________._______+_____.___._____.
______+_____.___.__________.____+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___.__________._____+_____.___.________._______+_____.___.______________.______+_____.___.________________.________+_____.___.____________._+_____.___.______._____+_____.___._________________._____+_____.___._________________.____+_____.___.__________________._______+_____.___._____.______+_____.___._______________.______+_____.___.__________.____+_____.___._____.__+_____.___.__________________._____+_____.___.___________._+_____.___.___._____+_____.___.________________.________+_____.___._____.___+_____.___.___________.____+_____.___.__________.______+_____.___.______.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.__________.______+_____.___.____________________.___+_____.___.__________.____+_____.___._____.__+_____.___.____________________.___+_____.___.______.___+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___.______.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.________+_____.___._________._______+_____.___.__________________.________+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.____________________.___+_____.___.______.___+_____.___.______.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________________.___+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.___+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________________.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______._+_____.___._____.______+_____.___._______________.______+_____.___.____________________.___+_____.___.___________.____+_____.___.__________.______+_____.___.__________.____+_____.___.___._____+_____.___.________________.____+_____.___.___._____+_____.___.__________.____+_____.___._____.___+_____.___.___________._+_____.___._________.___+_____.___.__________.__+_____.___.__________._____+_____.___.___________._+_____.___.___________________.___+_____.___.__________.__+_____.___.____._____+_____.___.___________._+_____.___._____________.__+_____.___.__________.__+_____.___._____________._______+_____.___.___________._+_____.___.___________________.___+_____.___.__________.__+_____.___.__________._________+_____.___.___________._+_____.___.______._+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_______=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.____________________._______+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.___.____+_____.___._________._+_____.___._____.______+_____.___.______.______+_____.___.__________________._____+_____.___.______._____+_____.___._____.__+_____.___._____
____________._____+_____.___.______.______+_____.___.________________.___+_____.___.___._____+_____.___._________.__+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___.______.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___.___.____+_____.___.____________________.___+_____.___.___._____+_____.___.______.___+_____.___.______________._____+_____.___.___________________._______+_____.___.___._____+_____.___.__________________._____+_____.___.______________.______+_____.___.________________.________+_____.___.____________._+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___._______________.______+_____.___._________________._____+_____.___.___________________._______+_____.___.________________.________+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___._________._____+_____.___.__.______+_____.___.__.______+_____.___.__.______+_____.___.__.______+_____.___.__.______+_____.___.__.______+_____.___.___._____+_____.___.___________.____+_____.___.____________.________+_____.___.___________________._______+_____.___.___._____+_____.___.__________________._____+_____.___._________________._____+_____.___.______________.______+_____.___.____________________.___+_____.___.______._____+_____.___._________________._____+_____.___.______________.______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.___________________.___+_____.___.______________.______+_____.___.___._____+_____.___.______._____+_____.___._____.______+_____.___.______________.______+_____.___.______.______+_____.___.______.___+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._______________.____+_____.___.______._____+_____.___.________________.________+_____.___.____________._+_____.___.___._____+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___._________.____+_____.___._________.____+_____.___.___._____+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._______._______+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._._________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.________+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,__=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.___________________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___.
_____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.______________.__+_____.___.____________._+_____.___.____________________.___+_____.___.______.___+_____.___.______.___+_____.___.__________________._+_____.___._________________._____+_____.___.______________.______+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________________.____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________________.____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____.________+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_____=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.________._______+_____.___.____________________.___+_____.___.__________.____+_____.___.__________.____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___._________.__+_____.___._____.______+_____.___.______.______+_____.___.__________________._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___._________._____+_____.___.__.______+_____.___.__.______+_____.___.___._____+_____.___.___________.____+_____.___.______________.__+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___.__________________._+_____.___._________________._____+_____.___.______________.______+_____.___.___________________._______+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________________._______+_____.___.___________.____+_____.___.___________________._+_____._
__.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._.______+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________________._______+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___________._+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,____=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________._____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___________.___+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________._____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.__+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,______=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+____
_.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________________.________+_____.___.______.___+_____.___.______.___+_____.___._____.__+_____.___.__________.___+_____.___.______.______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.___________________.___+_____.___.______._____+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.___._____+_____.___.______._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__.______+_____.___.____________________.___+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._______________.____+_____.___.______._____+_____.___.________________.________+_____.___.____________._+_____.___.___._____+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___._________.____+_____.___._________.____+_____.___.___._____+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____.__+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____.__+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____.____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________.________+_____.___._____________.___+_____.___._________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___._________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
____.___.___________.____+_____.___.__________.______+_____.___.________.__+_____.___.__________________._+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.______________.__+_____.___.___________________._______+_____.___.___._____+_____.___._________.__+_____.___.____________________.___+_____.___._____.______+_____.___.__________.____+_____.___.______._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_____________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________.________+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___.__________________.________+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.__+_____.___._______________.______+_____.___._____.______+_____.___.______._____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___._________.____+_____.___._________________._____+_____.___.___________________._______+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.__+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___.___+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.__+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____._+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.__.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.___________
____.__+_____.___.__________________.________+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.__+_____.___._______________.______+_____.___._____.______+_____.___.______._____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___.___________________._+_____.___._______________.______+_____.___.__________.____+_____.___._________________._____+_____.___.__________________._____+_____.___.________.__+_____.___.______________._____+_____.___.______.___+_____.___._____.__+_____.___._._______+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__._+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.__.___+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__._+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._________._+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,__________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.____________________.__+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___.__________________.________+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.__+_____.___._______________.______+_____.___._____.______+_____.___.______._____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.___._____+_____.___.______.______+_____.___.__________________._____+_____.___._______________
__._____+_____.___.___________________._______+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________________.____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________________.____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._________.______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____)]),____________________=_______.___([_______.__________(),(),_______.______()(_______=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.____________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___.__________________.________+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.__+_____.___._______________.______+_____.___._____.______+_____.___.______._____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________.______+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___.______
___________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._.______+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________.______+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___._+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,___=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___._____.______+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.________________.____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____.__+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___________._____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____.__+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._________________.____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_____=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.____________._______+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________._
__+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__._______+_____.___._________.____+_____.___.____________._+_____.___._________________._____+_____.___.______________.______+_____.___.______._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.______.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.__________.______+_____.___.____________________.___+_____.___.__________.____+_____.___._____.__+_____.___.____________________.___+_____.___.______.___+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___.______.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___.______________.__+_____.___._______________.______+_____.___._____.__+_____.___.______.______+_____.___.____________________.___+_____.___.______.___+_____.___.__________________._____+_____.___._____.__+_____.___._____.__+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.____________________.___+_____.___.______.___+_____.___.______.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._______________.____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___.____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._______________.____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.__________._________+_____.___._____.______+_____.___._______________.______+_____.___.____________________.___+_____.___.__________.__+_____.___.____________.________+_____.___.___________._+_____.___._______________.____+_____.___.__________.__+_____.___.____________.____+_____.___.___________._+_____.___._____________.__+_____.___.__________.__+_____.___.__________._____+_____.___.___________._+_____.___._______________.____+_____.___.__________.__+_____.___.____._____+_____.___.___________._+_____.___.__________._________+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,___________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______._______+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.__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
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
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_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.________.______+_____.___.___________________._______+_____.___.________.__+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________.____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____)]),____________=_______.___([_______.__________(),(),_______.______()(___=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___._____.______+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.________.______+_____.___._______________.______+_____.___._______________.______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________._____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_
____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.________+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________._____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___________________.__+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,____________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.__________________._+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.________._______+_____.___.____________________.___+_____.___.__________.____+_____.___.__________.____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___._________.__+_____.___._____.______+_____.___.______.______+_____.___.__________________._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___._________._____+_____.___.__.______+_____.___.__.______+_____.___.__.______+_____.___.___._____+_____.___.___________.____+_____.___.______________.__+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___.__________________._+_____.___._________________._____+_____.___.______________.______+_____.___.___________________._______+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____.__+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____._____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____.__+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____.____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,___________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________._
___+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________.________+_____.___._____________.___+_____.___._________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________________._______+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___________________._____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________________._______+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________________.____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,____=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.______+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.__________.______+_____.___._________._______+_____.___.__________.____+_____.___._____.__+_____.___.__________________._____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.__________.____+_____.___._________________._____+_____.___.__________________._+_____.___.___._____+_____.___.______________.______+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.______________.__+_____.___.________._______+_____.___._________________._____+_____.___.______.______+_____.___.______.___+_____.___.______._____+_____.___.____________________.___+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.___________._+_____.___._____________._+_____.___.___________.____+_____.___._____________.__+_____.___.________.__+_____.___._____.__+_____.___.______.______+_____.___.___________________._______+____
_.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________.___+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.________________._____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___.______+_____.___._____.______+_____.___._______________.______+_____.___.___________.____+_____.___.__________.______+_____.___._____.______+_____.___.____________._+_____.___.____________._+_____.___.___._____+_____.___.______________.______+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.______.___+_____.___.______._____+_____.___.___._____+_____.___.____________._+_____.___._____.___+_____.___.__.______+_____.___.__________.__+_____.___._______________.____+_____.___.___________._+_____.___.________________.___+_____.___.__________.__+_____.___.___.__+_____.___.___________._+_____.___.________________._____+_____.___.__________.__+_____.___.____________.________+_____.___.___________._+_____.___.________________.___+_____.___.__________.__+_____.___.____________.____+_____.___.___________._+_____.___.__________________._______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_____=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___._________________.________+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.____._____+_____.___.___________________._______+_____.___.___._____+_____.___.______________.______+_____.___._____.__+_____.___.________________.____+_____.___.___._____+_____.___.______________._____+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___.______________._____+_____.___.____________________.___+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___._____.__+_____.___.________________.____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________.______+_____.__
_.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________._______+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________.______+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________________._+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,__=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___._____.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.___________________._+_____.___.__._______+_____.___._________.____+_____.___.____________._+_____.___._________________._____+_____.___.______________.______+_____.___.______._____+_____.___._________._+_____.___.______________.______+_____.___._________________._____+_____.___._________.____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__.__+_____.___._________.____+_____.___._________________._____+_____.___.___________________._______+_____.___._____.______+_____.___.__________.____+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___.___.__+_____.___.________._______+_____.___.______________.______+_____.___.________________.________+_____.___.____________._+_____.___.______._____+_____.___._________________._____+_____.___._________________.____+_____.___.________._______+_____.___._____.__+_____.___.____________._+_____.___.__________.__+_____.___.___._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___.__________.______+_____.___.______.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.__________.______+_____.___.____________________.___+_____.___.__________.____+_____.___._____.__+_____.___.____________________.___+_____.___.______.___+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___.______.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________.________+_____.___._____________.___+_____.___._________._______+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.____________________.___+_____.___.______.___+_____.___.______.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___.____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___________________.__+_____.___._____
______.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___.____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.___+_____.___._____.______+_____.___._______________.______+_____.___.____________________.___+_____.___.___________.____+_____.___.__________.______+_____.___.__________.____+_____.___.___._____+_____.___.________________.____+_____.___.___._____+_____.___.__________.____+_____.___._____.___+_____.___.___________._+_____.___._________.___+_____.___.__________.__+_____.___.__________._____+_____.___.___________._+_____.___.___.____+_____.___.__________.__+_____.___.____._____+_____.___.___________._+_____.___._____________.__+_____.___.__________.__+_____.___._____________._______+_____.___.___________._+_____.___.___.____+_____.___.__________.__+_____.___.__________._________+_____.___.___________._+_____.___._______________.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.___.__+_____.___._____________.___+_____.___.______________.____+_____.___.__________________._____+_____.___.___._____+_____.___.____________._+_____.___.______._____+_____.___.___________________.________+_____.___.____________________.___+_____.___.______.______+_____.___.___________________._______+_____.___.__________.____+_____.___.___._____+_____.___.______________.______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___.______._____+_____.___.________________.________+_____.___.____________._+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.______.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___._______________.______+_____.___._________________._____+_____.___.___________________._______+_____.___.________________.________+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___._________._____+_____.___.__.______+_____.___.__.______+_____.___.__.______+_____.___.__.______+_____.___.__.______+_____.___.___._____+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._______________._______+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._________.___+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________._
_+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._________._______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,______=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___._______.__+_____.___._____________._+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___._____.______+_____.___._________.____+_____.___.___._____+_____.___.______.______+_____.___.______._____+_____.___.______.___+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.___.____+_____.___.____________._+_____.___._________________._____+_____.___.______.___+_____.___._________________._____+_____.___.______.______+_____.___.__________.____+_____.___.________________.________+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___._________._____+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.__________.____+_____.___.______.___+_____.___._____.___+_____.___.___________.____+_____.___.___________________._+_____.___.____________________.___+_____.___.______.______+_____.___.______.______+_____.___._________________._____+_____.___.______._____+_____.___.____________________.___+_____.___.______._____+_____.___._____.__+_____.___._________________._____+_____.___.______.______+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._______________.____+_____.___.______._____+_____.___.________________.________+_____.___.____________._+_____.___.___._____+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___._________.____+_____.___._________.____+_____.___.___._____+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________._________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___________.___+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________._________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.__+_____.___._____.__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_____.___.______.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.__________.______+_____.___.____________________.___+_____.___.__________.____+_____.___._____.__+_____.___.____________________.___+_____.___.______.___+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___.______.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___._________._______+_____.___.___________________.________+_____.___.__________________.________+_____.___.______________.________+_____.___.___________.________+_____.___._______________._+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.____________________.___+_____.___.______.___+_____.___.______.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__.__+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.________+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__.__+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________._____+_____.___._____.______+_____.___._______________.______+_____.___.____________________.___+_____.___.___________.____+_____.___.__________.______+_____.___.__________.____+_____.___.___._____+_____.___.________________.____+_____.___.___._____+_____.___.__________.____+_____.___._____.___+_____.___.___________._+_____.___._________.___+_____.___.__________.__+_____.___.__________._____+_____.___.___________._+_____.___.__.__+_____.___.__________.__+_____.___.____._____+_____.___.___________._+_____.___._____________.__+_____.___.__________.__+_____.___._____________._______+_____.___.___________._+_____.___.__.__+_____.___.__________.__+_____.___.__________._________+_____.___.___________._+_____.___._______________._____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,__________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___._____.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.___________________._+_____.___.__._______+_____.___._________.____+_____.___.____________._+_____.___._________________._____+_____.___.______________.______+_____.___.______._____+_____.___._________._+_____.___.______________.______+_____.___._________________._____+_____.___._________.____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__.__+_____.___._________.____+_____.___._________________._____+_____.___.___________________._______+_____.___._____.______+_____.___.__________.____+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___.___.__+_____.___.________._______
+_____.___.______________.______+_____.___.________________.________+_____.___.____________._+_____.___.______._____+_____.___._________________._____+_____.___._________________.____+_____.___.________._______+_____.___._____.__+_____.___.____________._+_____.___.__________.__+_____.___.___._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___.__________.______+_____.___.______.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.__________.______+_____.___.____________________.___+_____.___.__________.____+_____.___._____.__+_____.___.____________________.___+_____.___.______.___+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___.______.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________.________+_____.___._____________.___+_____.___._________._______+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.____________________.___+_____.___.______.___+_____.___.______.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._______________._+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___________________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._______________._+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.___+_____.___._____.______+_____.___._______________.______+_____.___.____________________.___+_____.___.___________.____+_____.___.__________.______+_____.___.__________.____+_____.___.___._____+_____.___.________________.____+_____.___.___._____+_____.___.__________.____+_____.___._____.___+_____.___.___________._+_____.___._________.___+_____.___.__________.__+_____.___.__________._____+_____.___.___________._+_____.___._______________._+_____.___.__________.__+_____.___.____._____+_____.___.___________._+_____.___._____________.__+_____.___.__________.__+_____.___._____________._______+_____.___.___________._+_____.___._______________._+_____.___.__________.__+_____.___.__________._________+_____.___.___________._+_____.___._______________.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_______=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.__________________._+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+___
__.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.______.___+_____.___.___._____+_____.___.__________.____+_____.___._________.__+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.__+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___.___+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.__+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______.__+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________________.________+_____.___.______.___+_____.___.______.___+_____.___._____.__+_____.___.__________.___+_____.___.______.______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.___________________.___+_____.___.______._____+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.___._____+_____.___.______._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__.______+_____.___.____________________.___+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._______________.____+_____.___.______._____+_____.___.________________.________+_____.___.____________._+_____.___.___._____+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___._________.____+_____.___._________.____+_____.___.___._____+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.__+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
_____.___.___.________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________.________+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___.________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.________._______+_____.___._____.______+_____.___._______________.______+_____.___.____________________.___+_____.___.___________.____+_____.___.______________.__+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___.__________________._+_____.___._________________._____+_____.___.______________.______+_____.___.___________________._______+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__________.__+_____.___.____________.____+_____.___.___________._+_____.___.___.________+_____.___.__________.__+_____.___.__________._____+_____.___.___________._+_____.___.______________.__+_____.___.__________.__+_____.___.____._____+_____.___.___________._+_____.___.___.________+_____.___.__________.__+_____.___._____________._______+_____.___.___________._+_____.___.________________.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____)]),_____________=_______.___([_______.__________(),(),_______.______()(___________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.__________________.______+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.___.____+_____.___.____________________.___+_____.___.___._____+_____.___.______.___+_____.___.______________._____+_____.___.___________________._______+_____.___.___._____+_____.___.__________________._____+_____.___.______________.______+_____.___.________________.________+_____.___.____________._+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________.___+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.__+_____.___._________
__.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________.__+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______.__+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___._________._______+_____.___._____.______+_____.___._______________.______+_____.___.______.___+_____.___.__________________._____+_____.___.______________.______+_____.___._____.__+_____.___.____________._+_____.___.______._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__________.______+_____.___.______.___+_____.___.__________.____+_____.___._____.__+_____.___.__________________._____+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________________._____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___________________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________________._____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____._+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,__=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________.________+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.
____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___.__________________.________+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.__+_____.___._______________.______+_____.___._____.______+_____.___.______._____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___._________.____+_____.___._________________._____+_____.___.___________________._______+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________.______+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___.___+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________.______+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____._+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.__________.______+_____.___.____________._+_____.___.______________.______+_____.___._____.__+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._
____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___.________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___.________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___.__+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_____=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.________._______+_____.___.____________________.___+_____.___.__________.____+_____.___.__________.____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___._________.__+_____.___._____.______+_____.___.______.______+_____.___.__________________._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___._________._____+_____.___.__.______+_____.___.__.______+_____.___.___._____+_____.___.___________.____+_____.___.______________.__+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___.__________________._+_____.___._________________._____+_____.___.______________.______+_____.___.___________________._______+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__._+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__._+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+____
_.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________._______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,______=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___._______.______+_____.___._____________._+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__._______+_____.___._________.____+_____.___.____________._+_____.___._________________._____+_____.___.______________.______+_____.___.______._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.______.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___._________._____+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.__________.______+_____.___.____________________.___+_____.___.__________.____+_____.___._____.__+_____.___.____________________.___+_____.___.______.___+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___.______.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___._______________.______+_____.___.____________________.___+_____.___.______.___+_____.___.___._____+_____.___._______________._+_____.___._______________._______+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.____________________.___+_____.___.______.___+_____.___.______.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________.________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___.____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________.________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____._____+_____.___._____.______+_____.___._______________.______+_____.___.__________.__+_____.___.______________.__+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.__________.__+_____.___.___.____+_____.___.___________.____+_____.___.________.______+_____.___._________________._____+_____.___.______.___+_____.___._____.___+_____.___.__________.__+_____.___.___.__+_____.___.__.______+_____.___.__________.__+_____.___.____________.________+_____.___.___________._+_____.___.___________.________+_____.___.__________.__+_____.___.____________.____+_____.___.___________._+_____.___.____________.__+_____.___.__________.__+_____.___.__________._____+_____.___.___________._+_____.___.___________.________+_____.___.__________.__+_____.___.____._____+_____.___.___________._+_____.___.________________._______+_____.
___._____.______+_____.___._______________.______+_____.___.__________.__+_____.___.______________.__+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.__________.__+_____.___.___.____+_____.___.___________.____+_____.___.___________________.___+_____.___.__________.__+_____.___.____________________.___+_____.___.______.___+_____.___.__________.__+_____.___.__________.____+_____.___._____.__+_____.___._______________.______+_____.___._____.___+_____.___.__________.__+_____.___.___.__+_____.___.__.______+_____.___.__________.__+_____.___.____________.________+_____.___.___________._+_____.___.___________.________+_____.___.__________.__+_____.___.____________.____+_____.___.___________._+_____.___._____________.______+_____.___.__________.__+_____.___.__________._____+_____.___.___________._+_____.___.___________.________+_____.___.__________.__+_____.___.____._____+_____.___.___________._+_____.___.____________.______+_____.___._____.______+_____.___._______________.______+_____.___.__________.__+_____.___.______________.__+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.__________.__+_____.___.___.____+_____.___.___________.____+_____.___.__.__+_____.___.______________.______+_____.___.____________________.___+_____.___.______.______+_____.___.___________________._______+_____.___._________________._____+_____.___._________.____+_____.___._____.___+_____.___.__________.__+_____.___.___.__+_____.___.__.______+_____.___.__________.__+_____.___.____________.________+_____.___.___________._+_____.___.___________.________+_____.___.__________.__+_____.___.____________.____+_____.___.___________._+_____.___._______________._____+_____.___.__________.__+_____.___.__________._____+_____.___.___________._+_____.___.___________.________+_____.___.__________.__+_____.___.____._____+_____.___.___________._+_____.___._________._____+_____.___._____.______+_____.___._______________.______+_____.___.___._____+_____.___.__________.__+_____.___.____________.________+_____.___.___________._+_____.___.___________.________+_____.___.__________.__+_____.___.____________.____+_____.___.___________._+_____.___._____________.__+_____.___.__________.__+_____.___.__________._____+_____.___.___________._+_____.___.___________.________+_____.___.__________.__+_____.___.____._____+_____.___.___________._+_____.___._________._____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.________+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___._______________.______+_____.___.____________________.___+_____.___.______.___+_____.___.___._____+_____.___._______________._+_____.___._______________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__.___+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+
_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.___+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________.______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,____________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.___________________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.______________.__+_____.___.______________._____+_____.___.___._____+_____.___.______.______+_____.___.__________________._____+_____.___.______________.______+_____.___.________________.________+_____.___.____________._+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___.___+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.__________._____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,____=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______________._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___.____
_________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.____________________.________+_____.___.___._____+_____.___.______._____+_____.___._____.______+_____.___.______________.______+_____.___.______.______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._______________.___+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._______________.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,__________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.________+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________________._____+_____.___._____.__+_____.___.____________._+_____.___.__________.__+_____.___.___._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__._+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.________+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.___
___.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__._+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________._____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,___=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________.________+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___.__________________.________+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.__+_____.___._______________.______+_____.___._____.______+_____.___.______._____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.__________.______+_____.___._________._______+_____.___.______._____+_____.___._________________._____+_____.___.______________.______+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________._____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________._____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________.__+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_____________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.________+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_
____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___._______________.______+_____.___.____________________.___+_____.___.______.___+_____.___.___._____+_____.___._______________._+_____.___._______________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________._____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___.____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________._____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____._____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_______=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.__________________._+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.___._____+_____.___.______________.____+_____.___.___._____+_____.___.__________________._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____
.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.______________.________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.______________.________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.__+_____.___._____.______+_____.___._______________.______+_____.___._________________.____)]),___________=_______.___([_______.__________(),(),_______.______()(___=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.___________________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.______________.__+_____.___.____________._+_____.___.____________________.___+_____.___.______.___+_____.___.______.___+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___.______________.________+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____._+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.__________._________+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____._+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______._
__+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.__._+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,__=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.__________________._+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.______.___+_____.___.___._____+_____.___.__________.____+_____.___._________.__+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.__+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._.______+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.__+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.___._____+_____.___.______.___+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________
________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________._____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________._____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___________.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_______=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.__________________._+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.______.___+_____.___.___._____+_____.___.__________.____+_____.___._________.__+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________.______+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___.___+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________.______+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___._______________
___._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______.__+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,______=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.__________.______+_____.___._______________.______+_____.___.________________.________+_____.___.______._____+_____.___.___._____+_____.___.______.___+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.______________.___+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________________._+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.______________.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._________._____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_____________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.__+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___._____.______+_____.___._________.____+_____.___.___._____+_____.___.______.______+_____.___.______._____+_____.___.______.___+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.___.____+_____.___.____________._+_____.___._________________._____+_____.___.______.___+_____.___._________________._____+_____.___.______.
______+_____.___.__________.____+_____.___.________________.________+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___._________._____+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.______.___+_____.___.___._____+_____.___.__________.____+_____.___._________.__+_____.___._____.___+_____.___.___________.____+_____.___.___________________._+_____.___.____________________.___+_____.___.______.______+_____.___.______.______+_____.___._________________._____+_____.___.______._____+_____.___.____________________.___+_____.___.______._____+_____.___._____.__+_____.___._________________._____+_____.___.______.______+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._______________.____+_____.___.______._____+_____.___.________________.________+_____.___.____________._+_____.___.___._____+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___._________.____+_____.___._________.____+_____.___.___._____+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________.____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______.______+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________.____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.___+_____.___._____.______+_____.___._______________.______+_____.___.__.______+_____.___.___._____+_____.___.___________.____+_____.___.__.__+_____.___.________________.____+_____.___.____________________.___+_____.___.______________.______+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.___________________._+_____.___.________.__+_____.___.__________________._+_____.___._________________._____+_____.___.______.______+_____.___.__________.____+_____.___.________________.________+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.___.____+_____.___.________.__+_____.___.__________________._+_____.___.______________._____+_____.___.___________________._______+_____.___.___._____+_____.___._________.__+_____.___.____________________.___+_____.___._____.______+_____.___.__________.____+_____.___.______._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.__________.______+_____.___.________.__+_____.___.__________________._+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___._____.___+_____.
___.__.______+_____.___.___________.____+_____.___.______________.__+_____.___.___________________._______+_____.___.___._____+_____.___._________.__+_____.___.____________________.___+_____.___._____.______+_____.___.__________.____+_____.___.______._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,___________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.__.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___.__________________.________+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.__+_____.___._______________.______+_____.___._____.______+_____.___.______._____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___.___________________._+_____.___.___________________._______+_____.___.___._____+_____.___.__________________._____+_____.___._________________._____+_____.___._________.____+_____.___.____________._+_____.___.______________.______+_____.___.___._____+_____.___.______.___+_____.___.______.___+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.______________.________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.______________.________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________.______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,____________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.__________________._+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____._
__.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.__________.______+_____.___._________._______+_____.___.______._____+_____.___._________________._____+_____.___.______________.______+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________.______+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________.______+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___.____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_____=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________________.________+_____.___.______.___+_____.___.______.___+_____.___._____.__+_____.___.__________.___+_____.___.______.______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.___________________.___+_____.___.______._____+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.___._____+_____.___.______._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__.______+_____.___.____________________.___+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._______________.____+_____.___.______._____+_____.___.________________.________+_____.___.____________._+_____.___.___._____+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___._________.____+_____.___._________.____+_____.___.___._____+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._._____+_____.___.___________.____+_____._
__.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._._____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.________________._______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.___._____+_____.___.______.___+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.______________.________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.___+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.______________.________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.________+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,____=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________.________+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+___
__.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___.__________________.________+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.__+_____.___._______________.______+_____.___._____.______+_____.___.______._____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___.______.___+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________.___+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______._______+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,__________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_
____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________.______+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______._+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________.______+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.__________________._+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.______________.______+_____.___.___._____+_____.___.______.___+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.__________.______+_____.___._________._______+_____.___.______._____+_____.___._________________._____+_____.___.______________.______+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___._+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___._+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___.______________
___._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___________________.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____)]),__________________=_______.___([_______.__________(),(),_______.______()(___________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___._______.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.________._+_____.___.______________.______+_____.___.________________.________+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___._______________.______+_____.___._________________._____+_____.___.___________________._______+_____.___.________________.________+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___._________._____+_____.___.__.______+_____.___.__.______+_____.___.__.______+_____.___.__.______+_____.___.__.______+_____.___.__.______+_____.___.__.______+_____.___.__.______+_____.___.__.______+_____.___.__.______+_____.___.__.______+_____.___.__.______+_____.___.__.______+_____.___.__.______+_____.___.__.______+_____.___.__.______+_____.___.__.______+_____.___.__.______+_____.___.__.______+_____.___.__.______+_____.___.__.______+_____.___.___._____+_____.___.___________.____+_____.___.______________.__+_____.___.__________.__+_____.___.____________________.___+_____.___.______.______+_____.___.___________________._______+_____.___.__________.____+_____.___.___._____+_____.___.______________.______+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__.______+_____.___.____________________.___+_____.___.___________.____+_____.___.__.__+_____.___._________________._____+_____.___.______________.______+_____.___.___._____+_____.___.__________.____+_____.___.______.___+_____.___.___._____+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___._________.__+_____.___._____.__+_____.___.______.______+_____.___.____________________.___+_____.___.__________.____+_____.___._______________.______+_____.___._________________._____+_____.___.___________________._______+_____.___.________________.________+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._____________.____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._________.___+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._________._______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_______=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.__________________._+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________
__.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__________.____+_____.___._____.__+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________.___+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______.______+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.____________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___.__________________.________+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.__+_____.___._______________.______+_____.___._____.______+_____.___.______._____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.______.______+_____.___.___._____+_____.___.__________________._+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____._
__.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.__+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______.______+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.__+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.________+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_____________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___._._______+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.___________________.___+_____.___._________.____+_____.___.___._____+_____.___.______.___+_____.___.______.___+_____.___.____________________.___+_____.___.__________.___+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__._+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____.____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__._+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___.____
_____________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________._+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,____________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.___________________._______+_____.___.____________________.___+_____.___.______._____+_____.___.____________________.___+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.__________.______+_____.___._________._______+_____.___.______._____+_____.___._________________._____+_____.___.______________.______+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________________._____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________________._____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______________.______+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.________._______+_____.___.____________________.___+_____.___.__________.____+_____.___.__________.____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___._________.__+_____.___._____.______+_____.___.______.______+_____.___.__________________._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___._______
_______.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.______________.__+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___.__________________._+_____.___._________________._____+_____.___.______________.______+_____.___.___________________._______+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._._________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________.____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._._________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.________+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_____=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.________._______+_____.___.____________________.___+_____.___.__________.____+_____.___.__________.____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___._________.__+_____.___._____.______+_____.___.______.______+_____.___.__________________._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__.______+_____.___.____________________.___+_____.___.___________.____+_____.___.______________.__+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___.__________________._+_____.___._________________._____+_____.___.______________.______+_____.___.___________________._______+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________.___+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.____
__________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._________._______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,______=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________.________+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___.__________________.________+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.__+_____.___._______________.______+_____.___._____.______+_____.___.______._____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.__________.______+_____.___._________._______+_____.___.______._____+_____.___._________________._____+_____.___.______________.______+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._______.______+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._______.______+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.__________._________+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,___=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.__________________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.___________________._+_____.___.__._______+_____.___._________.____+_____.___.____________._+_____.___._________________._____+_____.___.______________.______+_____.___.______._____+_____.___._________._+_____.___.______________.______+___
__.___._________________._____+_____.___._________.____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__.__+_____.___._________.____+_____.___._________________._____+_____.___.___________________._______+_____.___._____.______+_____.___.__________.____+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___.___.__+_____.___.________._______+_____.___.______________.______+_____.___.________________.________+_____.___.____________._+_____.___.______._____+_____.___._________________._____+_____.___._________________.____+_____.___.________._______+_____.___._____.__+_____.___.____________._+_____.___.__________.__+_____.___.___._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___.__________.______+_____.___.______.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___._________._____+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.__________.______+_____.___.____________________.___+_____.___.__________.____+_____.___._____.__+_____.___.____________________.___+_____.___.______.___+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___.______.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________.________+_____.___._____________.___+_____.___._________._______+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.____________________.___+_____.___.______.___+_____.___.______.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________.______+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___________________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________.______+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.___+_____.___._____.______+_____.___._______________.______+_____.___.__________.__+_____.___.___________________._+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.__________.__+_____.___.___.__+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._______+_____.___.___________._+_____.___.________._______+_____.___._________._______+_____.___.___.________+_____.___.______________._____+_____.___.____.___+_____.___.__________________.________+_____.___._____________.___+_____.___.__________________._______+_____.___._____.___+_____.___.__________.__+_____.___.____________.____+_____.___.__.______+_____.___.__________.__+_____.___.__________._____+_____.___.___________._+_____.___.__________.______+_____.___.__________.__+_____.___.____._____+_____.___.___________._+_____.___.____________________._+_____.___.__________.__+_____.___._____________._______+_____.___.___________._+_____.___.__________.______+_____.___.__________.__+_____.___.__________._________+_____.___.___________._+_____.___.________.___+_____.___._____.______+____
_.___._______________.______+_____.___.___._____+_____.___.___________.____+_____.___.__________.______+_____.___.__________.____+_____.___.___._____+_____.___.________________.____+_____.___.___._____+_____.___.__________.____+_____.___._____.___+_____.___.___________._+_____.___._________.___+_____.___.__________.__+_____.___.__________._____+_____.___.___________._+_____.___.__________.______+_____.___.__________.__+_____.___.____._____+_____.___.___________._+_____.___._____________.__+_____.___.__________.__+_____.___._____________._______+_____.___.___________._+_____.___.__________.______+_____.___.__________.__+_____.___.__________._________+_____.___.___________._+_____.___.________.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,____=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.______+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.__________.______+_____.___._________._______+_____.___.__________.____+_____.___._____.__+_____.___.__________________._____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.__________.____+_____.___._________________._____+_____.___.__________________._+_____.___.___._____+_____.___.______________.______+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__________.______+_____.___._____.______+_____.___.____________._+_____.___.____________._+_____.___.___._____+_____.___.______________.______+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.______________.__+_____.___.________._______+_____.___._________________._____+_____.___.______.______+_____.___.______.___+_____.___.______._____+_____.___.____________________.___+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.___________._+_____.___.__________._____+_____.___.___________.____+_____.___._____________.__+_____.___.________.__+_____.___._____.__+_____.___.______.______+_____.___.___________________._______+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________._______+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________.__+_____.___._____.______+_____.___._______________.______+_____.___.___________.____+_____.___._____________.__+_____.___.______.___+_____.___.______._____+_____.___.___._____+_____.___.____________._+_____.___._____.___+_____.___.__.______+_____.___.__________.__+_____.___.___.__+_____.___.___________._+_____.___.__________________.___
_+_____.___.__________.__+_____.___.____________.________+_____.___.___________._+_____.___.____._____+_____.___.__________.__+_____.___.____________.____+_____.___.___________._+_____.___.__________________.____+_____.___.__________.__+_____.___.__________._____+_____.___.___________._+_____.___.____________.__+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,__________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.________._______+_____.___.____________________.___+_____.___.__________.____+_____.___.__________.____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___._________.__+_____.___._____.______+_____.___.______.______+_____.___.__________________._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__.______+_____.___.____________________.___+_____.___.___________.____+_____.___.______________.__+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___.__________________._+_____.___._________________._____+_____.___.______________.______+_____.___.___________________._______+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________._____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________._____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._________._____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,__=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______________.______+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.________.______+_____.___.__._______+_____.___._________.__+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___.______._____+_____.___.___._____+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___._______________.______+_____.___._________________._____+_____.___.___________________._______+_____.___.________________.________+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___._________._____+_____.___.__.______+_____.___.__.______+____
_.___.___._____+_____.___.___________.____+_____.___.__.__+_____.___._________________._____+_____.___.______________.______+_____.___.___._____+_____.___.__________.____+_____.___.______.___+_____.___.___._____+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____._+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___.________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________________.________+_____.___.______.___+_____.___.______.___+_____.___._____.__+_____.___.__________.___+_____.___.______.______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.___________________.___+_____.___.______._____+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.___._____+_____.___.______._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__.______+_____.___.____________________.___+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._______________.____+_____.___.______._____+_____.___.________________.________+_____.___.____________._+_____.___.___._____+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___._________.____+_____.___._________.____+_____.___.___._____+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__._+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__._+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.________________
__._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___________________.________+_____.___._____.______+_____.___._______________.______+_____.___._________________.____)]),______________=_______.___([_______.__________(),(),_______.______()(______=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.___________________.___+_____.___.___________.__+_____.___.______.______+_____.___.____________________.___+_____.___.______________.______+_____.___.________________.________+_____.___.____.___+_____.___.____________._+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._________________._____+_____.___.____________._+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.___________.__+_____.___._________._______+_____.___._____.______+_____.___._______________.______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.___________________.___+_____.___._________________._____+_____.___.____________._+_____.___.___._____+_____.___.______________.______+_____.___.____________________.___+_____.___.______.______+_____.___.___________________._______+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.______________.__+_____.___.________._______+_____.___._________________._____+_____.___.______.______+_____.___.______.___+_____.___.______._____+_____.___.____________________.___+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.___________._+_____.___._____________._+_____.___.___________.____+_____.___._____________.__+_____.___.________.__+_____.___._____.__+_____.___.______.______+_____.___.___________________._______+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________.___+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____.___+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.__________________._______+_____.___._____.______+_____.___._______________.______+_____.___.__________.__+_____.___.____._____+_____.___.___________._+_____.___.________________.___+_____.___.
__________.__+_____.___._____________._______+_____.___.___________._+_____.___.__.______+_____.___.__________.__+_____.___.__________._________+_____.___.___________._+_____.___.________________.___+_____.___.__________.__+_____.___.____________.__+_____.___.___________._+_____.___.__________________._______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_____=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.____.______+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___.__________________.________+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.__+_____.___._______________.______+_____.___._____.______+_____.___.______._____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___.___________________.___+_____.___.___________________._______+_____.___.___._____+_____.___.__________________._____+_____.___.______________.______+_____.___.________________.________+_____.___.____________._+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________________._____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________.____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________________._____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._.______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,___________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______________._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.____________________.________+_____.___.___._____+_____.___.______._____+_____.___._____.______+_____.___.______________.______
+_____.___.______.______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._____________.________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._____________.________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.________________._______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_______=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______________.______+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.________._______+_____.___.____________________.___+_____.___.__________.____+_____.___.__________.____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___._________.__+_____.___._____.______+_____.___.______.______+_____.___.__________________._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.______________.__+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___.__________________._+_____.___._________________._____+_____.___.______________.______+_____.___.___________________._______+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___.________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________.___+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___.________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.______
____________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________________.________+_____.___.______.___+_____.___.______.___+_____.___._____.__+_____.___.__________.___+_____.___.______.______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.___________________.___+_____.___.______._____+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.___._____+_____.___.______._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__.______+_____.___.____________________.___+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._______________.____+_____.___.______._____+_____.___.________________.________+_____.___.____________._+_____.___.___._____+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___._________.____+_____.___._________.____+_____.___.___._____+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________________._______+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________________._______+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___________._+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,__=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.__________________._+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.______.___+_____.___.___._____+____
_.___.__________.____+_____.___._________.__+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________.______+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._.______+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________.______+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_____________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___._____._+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___._____.___+_____.___.___________.____+_____.___.___________________.___+_____.___._________.____+_____.___.___._____+_____.___.______.___+_____.___.______.___+_____.___.____________________.___+_____.___.__________.___+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___.___________________._+_____.___.____________________.___+_____.___.______.______+_____.___.______.______+_____.___._________________._____+_____.___.______._____+_____.___.____________________.___+_____.___.______._____+_____.___._____.__+_____.___._________________._____+_____.___.______.______+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._______________.____+_____.___.______._____+_____.___.________________.________+_____.___.____________._+_____.___.___._____+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___._________.____+_____.___._________.____+_____.___.___._____+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.______________.___+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.__
_________._+_____.___.__________________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.______________.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._________._____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,____________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______________._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.____________________.________+_____.___.___._____+_____.___.______._____+_____.___._____.______+_____.___.______________.______+_____.___.______.______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________.___+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.________+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,__________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.________+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.______.___+_____.___.______._____+_____.___.______________.______+_____.___._____.__+_____.___.______.______+_____.___.__________.___+_____.___._____.___+_____.__
_.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___._+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.___+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___._+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___._____._+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___._____.___+_____.___.___________.____+_____.___.___________________.___+_____.___._________.____+_____.___.___._____+_____.___.______.___+_____.___.______.___+_____.___.____________________.___+_____.___.__________.___+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___.___________________._+_____.___.____________________.___+_____.___.______.______+_____.___.______.______+_____.___._________________._____+_____.___.______._____+_____.___.____________________.___+_____.___.______._____+_____.___._____.__+_____.___._________________._____+_____.___.______.______+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._______________.____+_____.___.______._____+_____.___.________________.________+_____.___.____________._+_____.___.___._____+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___._________.____+_____.___._________.____+_____.___.___._____+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________________.__+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.__+_____.___.___________.____+_____.___.___________________._+_____._
__.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________________.__+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._________._____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________________.________+_____.___.______.___+_____.___.______.___+_____.___._____.__+_____.___.__________.___+_____.___.______.______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.___________________.___+_____.___.______._____+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.___._____+_____.___.______._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__.______+_____.___.____________________.___+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._______________.____+_____.___.______._____+_____.___.________________.________+_____.___.____________._+_____.___.___._____+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___._________.____+_____.___._________.____+_____.___.___._____+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__.___+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____.________+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,___=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________________.________+_____.___.______.___+_____.___.______.___+
_____.___._____.__+_____.___.__________.___+_____.___.______.______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.___________________.___+_____.___.______._____+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.___._____+_____.___.______._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__.______+_____.___.____________________.___+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._______________.____+_____.___.______._____+_____.___.________________.________+_____.___.____________._+_____.___.___._____+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___._________.____+_____.___._________.____+_____.___.___._____+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___._+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___._+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,____=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.________._______+_____.___.____________________.___+_____.___.__________.____+_____.___.__________.____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___._________.__+_____.___._____.______+_____.___.______.______+_____.___.__________________._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__.______+_____.___.____________________.___+_____.___.___________.____+_____.___.______________.__+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___.__________________._+_____.___._________________._____+_____.___.______________.______+_____.___.___________________._______+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___._+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___._________
_____._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___________________._+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___._+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____)]),________________=_______.___([_______.__________(),(),_______.______()(____________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.____________________.__+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___.__________________.________+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.__+_____.___._______________.______+_____.___._____.______+_____.___.______._____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.___________________._______+_____.___.___._____+_____.___.__________________._____+_____.___._________________._____+_____.___.___________________._______+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.______________.________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.______________.________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____
.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___________.________+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,__=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___._._______+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.___________________.___+_____.___.______________._____+_____.___.____________._+_____.___._____.______+_____.___._______________.______+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._._____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._._____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.__________._____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.________+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________________._____+_____.___._____.__+_____.___.____________._+_____.___.__________.__+_____.___.___._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._
____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________________._______+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________________._+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________________._______+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._._____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,______=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.__________________._+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.________._______+_____.___.____________________.___+_____.___.__________.____+_____.___.__________.____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___._________.__+_____.___._____.______+_____.___.______.______+_____.___.__________________._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___._________._____+_____.___.__.______+_____.___.__.______+_____.___.__.______+_____.___.___._____+_____.___.___________.____+_____.___.______________.__+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___.__________________._+_____.___._________________._____+_____.___.______________.______+_____.___.___________________._______+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.__+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______.______+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.__+_____.___.___________.____+
_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._________.______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___._________________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.________._______+_____.___.____________________.___+_____.___.__________.____+_____.___.__________.____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___._________.__+_____.___._____.______+_____.___.______.______+_____.___.__________________._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.______________.__+_____.___.________._______+_____.___._________________._____+_____.___.______.______+_____.___.______.___+_____.___.______._____+_____.___.____________________.___+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___._____._______+_____.___._____________.__+_____.___.________.________+_____.___._____________._+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________.__+_____.___._____.__+_____.___.______.______+_____.___.___________________._______+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________________._+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______._+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________________._+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______.__+_____.___._____.______+_____.___._______________.______+_____.___.____________________.___+_____.___.___________.____+_____.___.______________.__+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___.__________________._+_____.___._________________._____+_____.___.______________.______+_____.___.___________________._______+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__________.__+_____.___.____________.________+_____.___.___________._+_____.___
.____________________._+_____.___.__________.__+_____.___.____________.____+_____.___.___________._+_____.___.__________._________+_____.___.__________.__+_____.___.__________._____+_____.___.___________._+_____.___.____________________._+_____.___.__________.__+_____.___.____._____+_____.___.___________._+_____.___.___________._____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,__________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___._______._+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___._____________.___+_____.___.______________.____+_____.___.____________._+_____.___.______________.______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___.________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________.___+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___.________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,____=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.____________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___.__________________.________+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.__+_____.___._______________.______+_____.___._____.______+_____.___.______._____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.________________.____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.__________.______+_____.___._________._______+_____.___.______._____+_____.___._________________._____+_____.___.______
________.______+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________.__+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________.__+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________._______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,___________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______________.______+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.________._______+_____.___.____________________.___+_____.___.__________.____+_____.___.__________.____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___._________.__+_____.___._____.______+_____.___.______.______+_____.___.__________________._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.______________.__+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___.__________________._+_____.___._________________._____+_____.___.______________.______+_____.___.___________________._______+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________.___+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______._______+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.__
_+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________._______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_____________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.________._______+_____.___.____________________.___+_____.___.__________.____+_____.___.__________.____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___._________.__+_____.___._____.______+_____.___.______.______+_____.___.__________________._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__.______+_____.___.____________________.___+_____.___.___________.____+_____.___.______________.__+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___.__________________._+_____.___._________________._____+_____.___.______________.______+_____.___.___________________._______+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__.___+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.___+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____.________+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___._________.________+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.___________________.___+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___.__________________._+_____.___._________________._____+_____.___.______________.______+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___._____.___+_____.___.___________.____+_____.___._____________._+_____.___.________.__+_____.___._____.___+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.____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
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._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________.__+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_______=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.__.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___.__________________.________+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.__+_____.___._______________.______+_____.___._____.______+_____.___.______._____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___.___________________._+_____.___._______________.______+_____.___.__________.____+_____.___._________________._____+_____.___.__________________._____+_____.___.________.__+_____.___.______________._____+_____.___.______.___+_____.___._____.__+_____.___._._______+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________________._______+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___________________._____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.
______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________________._______+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____._______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____)]),_______________=_______.___([_______.__________(),(),_______.______()(____=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.__________.______+_____.___._______________.______+_____.___.________________.________+_____.___.______._____+_____.___.___._____+_____.___.______.___+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________________.__+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________________._+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________________.__+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._________._____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,__=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.________._______+_____.___.____________________.___+_____.___.__________.____+_____.___.__________.____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.____
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
_______________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.__________._____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________._______+_____.___._____.______+_____.___._______________.______+_____.___.___________.____+_____.___.__________.______+_____.___._____.______+_____.___.____________._+_____.___.____________._+_____.___.___._____+_____.___.______________.______+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.______.___+_____.___.______._____+_____.___.___._____+_____.___.____________._+_____.___._____.___+_____.___.__.______+_____.___.__________.__+_____.___._______________.____+_____.___.___________._+_____.___.__________________.________+_____.___.__________.__+_____.___.___.__+_____.___.___________._+_____.___.__________._____+_____.___.__________.__+_____.___.____________.________+_____.___.___________._+_____.___.__________________.________+_____.___.__________.__+_____.___.____________.____+_____.___.___________._+_____.___.__________._________+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,___=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___._____.___+_____.___.___________.____+_____.___.___________________._+_____.___.____________________.___+_____.___.______.______+_____.___.______.______+_____.___._________________._____+_____.___.______._____+_____.___.____________________.___+_____.___.______._____+_____.___._____.__+_____.___._________________._____+_____.___.______.______+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._______________.____+_____.___.______._____+_____.___.________________.________+_____.___.____________._+_____.___.___._____+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___._________.____+_____.___._________.____+_____.___.___._____+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________.____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.__._+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________
.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________.____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___._+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.________._______+_____.___.____________________.___+_____.___.__________.____+_____.___.__________.____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___._________.__+_____.___._____.______+_____.___.______.______+_____.___.__________________._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__.______+_____.___.____________________.___+_____.___.___________.____+_____.___.______________.__+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___.__________________._+_____.___._________________._____+_____.___.______________.______+_____.___.___________________._______+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________._____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___.____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________._____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________.______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_______=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.______+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.__________.______+_____.___._________._______+_____.___.__________.____+_____.___._____.__+_____.___.__________________._____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____._
__.__________.______+_____.___.__________.____+_____.___._________________._____+_____.___.__________________._+_____.___.___._____+_____.___.______________.______+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.______________.__+_____.___.________._______+_____.___._________________._____+_____.___.______.______+_____.___.______.___+_____.___.______._____+_____.___.____________________.___+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.___________._+_____.___.______________.__+_____.___.___________.____+_____.___._____________.__+_____.___.________.__+_____.___._____.__+_____.___.______.______+_____.___.___________________._______+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________________._____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.________.___+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________________._____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._________________.____+_____.___._____.______+_____.___._______________.______+_____.___.___________.____+_____.___.__________.______+_____.___._____.______+_____.___.____________._+_____.___.____________._+_____.___.___._____+_____.___.______________.______+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.______.___+_____.___.______._____+_____.___.___._____+_____.___.____________._+_____.___._____.___+_____.___.__.______+_____.___.__________.__+_____.___._______________.____+_____.___.___________._+_____.___.___________________._____+_____.___.__________.__+_____.___.___.__+_____.___.___________._+_____.___.________.___+_____.___.__________.__+_____.___.____________.________+_____.___.___________._+_____.___.___________________._____+_____.___.__________.__+_____.___.____________.____+_____.___.___________._+_____.___.____.____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,______=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______________.______+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.________._______+_____.___.____________________.___+_____.___.__________.____+_____.___.__________.____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___._________.__+_____.___._____.______+_____.___.______.______+_____.___.__________________._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____._
__.___________.____+_____.___.______________.__+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___.__________________._+_____.___._________________._____+_____.___.______________.______+_____.___.___________________._______+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________________.____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________________.____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___________________._____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,__________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________________.________+_____.___.______.___+_____.___.______.___+_____.___._____.__+_____.___.__________.___+_____.___.______.______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.___________________.___+_____.___.______._____+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.___._____+_____.___.______._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__.______+_____.___.____________________.___+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._______________.____+_____.___.______._____+_____.___.________________.________+_____.___.____________._+_____.___.___._____+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___._________.____+_____.___._________.____+_____.___.___._____+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________.__+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________.__+_____.___.___________.____+_____.___.____________.________+___
__.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.________________._______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_____________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.____.__+_____.___._____________._+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__._______+_____.___._________.____+_____.___.____________._+_____.___._________________._____+_____.___.______________.______+_____.___.______._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.______.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___._________._____+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.__________.______+_____.___.____________________.___+_____.___.__________.____+_____.___._____.__+_____.___.____________________.___+_____.___.______.___+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___.______.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.______________.______+_____.___.____________________.___+_____.___.______.______+_____.___.___________________._______+_____.___._________________._____+_____.___._________.____+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.____________________.___+_____.___.______.___+_____.___.______.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._____________.__+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___.____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._____________.__+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____._____+_____.___._____.______+_____.___._______________.______+_____.___.__________.__+_____.___.______________.__+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.__________.__+_____.___.___.____+_____.___.___________.____+_____.___.__.__+_____.___._______________.______+_____.___.____________________.___+_____.___.______.___+_____.___.___._____+_____.___._______________._+_____.___._______________._______+_____.___._____.___+_____.___.__________.__+_____.___.___.__+_____.___.__.______+_____.___.__________.__+_____.___.____
________.________+_____.___.___________._+_____.___._____________.__+_____.___.__________.__+_____.___.____________.____+_____.___.___________._+_____.___.____________.__+_____.___.__________.__+_____.___.__________._____+_____.___.___________._+_____.___._____________.__+_____.___.__________.__+_____.___.____._____+_____.___.___________._+_____.___.__________________.__+_____.___._____.______+_____.___._______________.______+_____.___.__________.__+_____.___.______________.__+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.__________.__+_____.___.___.____+_____.___.___________.____+_____.___._____________.__+_____.___._._______+_____.___.__________.____+_____.___._____.__+_____.___._______________.______+_____.___._____.___+_____.___.__________.__+_____.___.___.__+_____.___.__.______+_____.___.__________.__+_____.___.____________.________+_____.___.___________._+_____.___._____________.__+_____.___.__________.__+_____.___.____________.____+_____.___.___________._+_____.___._.______+_____.___.__________.__+_____.___.__________._____+_____.___.___________._+_____.___._____________.__+_____.___.__________.__+_____.___.____._____+_____.___.___________._+_____.___._______________.___+_____.___._____.______+_____.___._______________.______+_____.___.__________.__+_____.___.______________.__+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.__________.__+_____.___.___.____+_____.___.___________.____+_____.___._____________.____+_____.___.______.___+_____.___.________________.________+_____.___.______.___+_____.___._____.___+_____.___.__________.__+_____.___.___.__+_____.___.__.______+_____.___.__________.__+_____.___.____________.________+_____.___.___________._+_____.___._____________.__+_____.___.__________.__+_____.___.____________.____+_____.___.___________._+_____.___.______._+_____.___.__________.__+_____.___.__________._____+_____.___.___________._+_____.___._____________.__+_____.___.__________.__+_____.___.____._____+_____.___.___________._+_____.___.___.___+_____.___._____.______+_____.___._______________.______+_____.___.__________.__+_____.___.______________.__+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.__________.__+_____.___.___.____+_____.___.___________.____+_____.___.__.__+_____.___.______.___+_____.___.______._____+_____.___.______________.______+_____.___._____.__+_____.___.______.______+_____.___.__________.___+_____.___._____.___+_____.___.__________.__+_____.___.___.__+_____.___.__.______+_____.___.__________.__+_____.___.____________.________+_____.___.___________._+_____.___._____________.__+_____.___.__________.__+_____.___.____________.____+_____.___.___________._+_____.___._______.________+_____.___.__________.__+_____.___.__________._____+_____.___.___________._+_____.___._____________.__+_____.___.__________.__+_____.___.____._____+_____.___.___________._+_____.___.____._+_____.___._____.______+_____.___._______________.______+_____.___.___._____+_____.___.__________.__+_____.___.____________.________+_____.___.___________._+_____.___._____________.__+_____.___.__________.__+_____.___.____________.____+_____.___.___________._+_____.___._____________.__+_____.___.__________.__+_____.___.__________._____+_____.___.___________._+_____.___._____________.__+_____.___.__________.__+_____.___.____._____+_____.___.___________._+_____.___.____._+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,____________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.________._______+_____.___.____________________.___+_____.___.__________.____+_____.___.__________.____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___._________.__+_____.___._____.______+_____.___.______.______+_____.___.__________________._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.__
_._____.___+_____.___.__.______+_____.___.____________________.___+_____.___.___________.____+_____.___.______________.__+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___.__________________._+_____.___._________________._____+_____.___.______________.______+_____.___.___________________._______+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__._+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.________+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__._+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___________________.________+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_____=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________________.________+_____.___.______.___+_____.___.______.___+_____.___._____.__+_____.___.__________.___+_____.___.______.______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.___________________.___+_____.___.______._____+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.___._____+_____.___.______._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__.______+_____.___.____________________.___+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._______________.____+_____.___.______._____+_____.___.________________.________+_____.___.____________._+_____.___.___._____+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___._________.____+_____.___._________.____+_____.___.___._____+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._______.______+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._______.______+_____.___.__________
_.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.__+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______.__+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___._________._______+_____.___._____.______+_____.___._______________.______+_____.___.______.___+_____.___.__________________._____+_____.___.______________.______+_____.___._____.__+_____.___.____________._+_____.___.______._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__________.______+_____.___.______.___+_____.___.__________.____+_____.___._____.__+_____.___.__________________._____+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________.___+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.________+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.__________._______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.____._______+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___._________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
__.______.___+_____.___.__________.__+_____.___.____________________.___+_____.___.______________.________+_____.___.___________.________+_____.___._______________._+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.________.__+_____.___._____.__+_____.___.______.______+_____.___.___________________._______+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________________.____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.___+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________________.____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._._____+_____.___._____.______+_____.___._______________.______+_____.___.__.______+_____.___.__.______+_____.___.__________.__+_____.___._______________.__+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.__________.__+_____.___._______________.____+_____.___._____._______+_____.___._._+_____.___.____________.___+_____.___._____________._+_____.___._________.___+_____.___.__________.__+_____.___.____________.________+_____.___.__.______+_____.___.__________.__+_____.___.____________.____+_____.___.___________._+_____.___.____________________.____+_____.___.__________.__+_____.___.__________._____+_____.___.___________._+_____.___.________________.___+_____.___.__________.__+_____.___.____._____+_____.___.___________._+_____.___.____________________.____+_____.___.__________.__+_____.___._____________._______+_____.___.___________._+_____.___._____._______+_____.___._____.______+_____.___._______________.______+_____.___.___._____+_____.___.___________.____+_____.___.______________.__+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___.__________________._+_____.___._________________._____+_____.___.______________.______+_____.___.___________________._______+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__________.__+_____.___.____________.____+_____.___.___________._+_____.___.____________________.____+_____.___.__________.__+_____.___.__________._____+_____.___.___________._+_____.___.___.__+_____.___.__________.__+_____.___.____._____+_____.___.___________._+_____.___.____________________.____+_____.___.__________.__+_____.___._____________._______+_____.___.___________._+_____.___.___________._+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,__________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___._____._+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.__________________._____+_____.___.______________.______+_____.___._____________
___.________+_____.___.____________._+_____.___.______._____+_____.___.___._____+_____.___.___________________._______+_____.___.______________._____+_____.___.___________________._______+_____.___.____________________.___+_____.___.______._____+_____.___.____________________.___+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__.___+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______.________+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.__.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,____________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______.__+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.____________.________+_____.___.___________________._______+_____.___.___._____+_____.___.__________________._____+_____.___.______________.______+_____.___.________________.________+_____.___.____________._+_____.___.______._____+_____.___.___._____+_____.___.___________________._______+_____.___.______________._____+_____.___.___________________._______+_____.___.____________________.___+_____.___.______._____+_____.___.____________________.___+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.__________.______+_____.___._________._______+_____.___.______._____+_____.___._________________._____+_____.___.______________.______+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________________._______+_____.___.___________.____+_____.___.___________________._+_____.___._______________
___._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________________._______+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.__+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,___=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___._.______+_____.___._____________._+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___._____.______+_____.___._________.____+_____.___.___._____+_____.___.______.______+_____.___.______._____+_____.___.______.___+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.___.____+_____.___.____________._+_____.___._________________._____+_____.___.______.___+_____.___._________________._____+_____.___.______.______+_____.___.__________.____+_____.___.________________.________+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___._________._____+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___._____.___+_____.___.___________.____+_____.___.______________.__+_____.___.____________._+_____.___.____________________.___+_____.___.______.___+_____.___.______.___+_____.___.__________________._+_____.___._________________._____+_____.___.______________.______+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.___________________._+_____.___.____________________.___+_____.___.______.______+_____.___.______.______+_____.___._________________._____+_____.___.______._____+_____.___.____________________.___+_____.___.______._____+_____.___._____.__+_____.___._________________._____+_____.___.______.______+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._______________.____+_____.___.______._____+_____.___.________________.________+_____.___.____________._+_____.___.___._____+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___._________.____+_____.___._________.____+_____.___.___._____+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.______.________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._____
____________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.______.________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________._____+_____.___._____.______+_____.___._______________.______+_____.___.__________.__+_____.___.___________________._+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.__________.__+_____.___.___.__+_____.___.___________.____+_____.___._____________.__+_____.___.______.___+_____.___.____________________.___+_____.___.__________.____+_____.___.______._____+_____.___._____.___+_____.___.__________.__+_____.___.____________.____+_____.___.__.______+_____.___.__________.__+_____.___.__________._____+_____.___.__.______+_____.___.__________.__+_____.___.____._____+_____.___.___________._+_____.___.______.________+_____.___.__________.__+_____.___._____________._______+_____.___.___________._+_____.___.______._+_____.___.__________.__+_____.___.__________._________+_____.___.___________._+_____.___.______.________+_____.___.__________.__+_____.___.____________.__+_____.___.___________._+_____.___._________._____+_____.___._____.______+_____.___._______________.______+_____.___.___._____+_____.___.___________.____+_____.___.__.__+_____.___.________________.____+_____.___.____________________.___+_____.___.______________.______+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.___________________._+_____.___.________.__+_____.___.__________________._+_____.___._________________._____+_____.___.______.______+_____.___.__________.____+_____.___.________________.________+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.___.____+_____.___.________.__+_____.___.__________________._+_____.___.______________._____+_____.___.___________________._______+_____.___.___._____+_____.___._________.__+_____.___.____________________.___+_____.___._____.______+_____.___.__________.____+_____.___.______._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.__________.______+_____.___.________.__+_____.___.__________________._+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.______________.__+_____.___.___________________._______+_____.___.___._____+_____.___._________.__+_____.___.____________________.___+_____.___._____.______+_____.___.__________.____+_____.___.______._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_____=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________________.________+_____.___.______.___+_____.___.______.___+_____.___._____.__+_____.___.__________.___+_____.___.______.______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.___________________.___+_____.___.______._____+_____.___.______________
______.___+_____.___.______________.______+_____.___.__________.___+_____.___.___._____+_____.___.______._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__.______+_____.___.____________________.___+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._______________.____+_____.___.______._____+_____.___.________________.________+_____.___.____________._+_____.___.___._____+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___._________.____+_____.___._________.____+_____.___.___._____+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________._____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________._____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._________._____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,__=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.____._______+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.______________.__+_____.___.____________._+_____.___.____________________.___+_____.___.______.___+_____.___.______.___+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___.______________.________+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.__________.______+_____.___._________._______+_____.___.______._____+_____.___._________________._____+_____.___.______________.______+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________________.____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___._
_____._____+_____.___._____.___+_____.___.___________._+_____.___._____________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________________.____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_______=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________.________+_____.___._____________.___+_____.___._________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.__+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______.______+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.__+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________.______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_____________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________._
___+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________.________+_____.___._____________.___+_____.___._________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________.______+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______.______+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________.______+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________.______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,______=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___._____._+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.___.__+_____.___.__________________._____+_____.___._____.__+_____.___.____________._+_____.___.__________.__+_____.___.___._____+_____.___.______________.______+_____.___.___._____+_____.___.___________________._______+_____.___.______________._____+_____.___.___________________._______+_____.___.____________________.___+_____.___.______._____+_____.___.____________________.___+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.__________.______+_____.___._________._______+_____.___.______._____+_____.___._________________._____+_____.___.______________.______+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+__
___.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__._+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__._+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.______.___+_____.___.________________.________+_____.___.______.___+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___.________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________.___+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___.________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___________________.________+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,___________=
lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.______.___+_____.___.____________________.___+_____.___.__________.____+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.__________.______+_____.___._________._______+_____.___.______._____+_____.___._________________._____+_____.___.______________.______+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____.________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____.________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.____.______+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___.__________________.________+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.__+_____.___._______________.______+_____.___._____.______+_____.___.______._____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___.___________________.___+_____.___.___________________._______+_____.___.___._____+_____.___.__________________._____+_____.___.______________.______+_____.___.________________
.________+_____.___.____________._+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.______________.________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.___+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.______________.________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______._+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______.__+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___._________._______+_____.___._____.______+_____.___._______________.______+_____.___.______.___+_____.___.__________________._____+_____.___.______________.______+_____.___._____.__+_____.___.____________._+_____.___.______._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__________.______+_____.___.______.___+_____.___.__________.____+_____.___._____.__+_____.___.__________________._____+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._._____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___.
_____.___+_____.___.___________._+_____.___._______________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._._____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.________________._______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____)]),___________________=_______.___([_______.__________(),(),_______.______()(_________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.___.____+_____.___._________._+_____.___._____.______+_____.___.______.______+_____.___.__________________._____+_____.___.______._____+_____.___._____.__+_____.___._________________._____+_____.___.______.______+_____.___.________________.___+_____.___.___._____+_____.___._________.__+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___.______.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___.___________________.___+_____.___.___________________._______+_____.___.___._____+_____.___.__________________._____+_____.___.______________.______+_____.___.________________.________+_____.___.____________._+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___._______________.______+_____.___._________________._____+_____.___.___________________._______+_____.___.________________.________+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___._________._____+_____.___.__.______+_____.___.__.______+_____.___.__.______+_____.___.___._____+_____.___.___________.____+_____.___.____________.________+_____.___.___________________._______+_____.___.___._____+_____.___.__________________._____+_____.___._________________._____+_____.___.______________.______+_____.___.____________________.___+_____.___.______._____+_____.___._________________._____+_____.___.______________.______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.___________________.___+_____.___.______________.______+_____.___.___._____+_____.___.______._____+_____.___._____.______+_____.___.______________.______+_____.___.______.______+_____.___.______.___+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._______________.____+_____.___.______._____+_____.___.________________.________+_____.___.____________._+_____.___.___._____+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___._________.____+_____.___._________.____+_____.___.___._____+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________________.__+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____
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
___________.________+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.__+_____.___._______________.______+_____.___._____.______+_____.___.______._____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.______.______+_____.___.___._____+_____.___.__________________._+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________.______+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______.______+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________.______+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.________+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,______________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___._._______+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.___________________.___+_____.___._________.____+_____.___.___._____+_____.___.______.___+_____.___.______.___+_____.___.____________________.___+_____.___.__________.___+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+___
__.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________________._______+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.________+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________________._______+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____.________+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,__________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______.__+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.__________________._____+_____.___.______________.______+_____.___.________________.________+_____.___.____________._+_____.___.______._____+_____.___.___._____+_____.___.___________________._______+_____.___.______________._____+_____.___.___________________._______+_____.___.____________________.___+_____.___.______._____+_____.___.____________________.___+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.__________.______+_____.___._________._______+_____.___.______._____+_____.___._________________._____+_____.___.______________.______+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__.___+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+____
_.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.________________._______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________________.________+_____.___.______.___+_____.___.______.___+_____.___._____.__+_____.___.__________.___+_____.___.______.______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.___________________.___+_____.___.______._____+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.___._____+_____.___.______._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__.______+_____.___.____________________.___+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._______________.____+_____.___.______._____+_____.___.________________.________+_____.___.____________._+_____.___.___._____+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___._________.____+_____.___._________.____+_____.___.___._____+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________________._+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________________._+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___________._____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,__=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.____________________.__+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___.__________________.________+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.__+_____.___._______________.______+_____.___._____.______+_____.___.______._____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+__
___.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.___________________._______+_____.___.___._____+_____.___.__________________._____+_____.___._________________._____+_____.___.___________________._______+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._._________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________.____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._._________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.__+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___._____._+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.____________.________+_____.___.___________________._______+_____.___.___._____+_____.___.__________________._____+_____.___.______________.______+_____.___.________________.________+_____.___.____________._+_____.___.______._____+_____.___.___._____+_____.___.___________________._______+_____.___.______________._____+_____.___.___________________._______+_____.___.____________________.___+_____.___.______._____+_____.___.____________________.___+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+___
__.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._______________.___+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.__________._________+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._______________.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,____=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___._______._+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___._____________.___+_____.___.______________.____+_____.___.____________._+_____.___.______________.______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___.________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___.________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.________________.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_______=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________________.________+_____.___.______.___+_____.___.______._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__._____+_____.___._____.___+_____.___.___________._+_____.___._________._____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________._____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________.______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,______=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________.________+_____.___._____________.___+_____.___._________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____.__+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___________________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____.__+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,____________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.___
____._+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___._____________.___+_____.___.______________.____+_____.___.____________._+_____.___.______________.______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________.___+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._________._______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_____________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.________+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.______.___+_____.___.______._____+_____.___.______________.______+_____.___._____.__+_____.___.______.______+_____.___.__________.___+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___._+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+__
___.___._____.___+_____.___.___________._+_____.___._________.______+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___._+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____)]),________=_______.___([_______.__________(),(),_______.______()(__________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________________.________+_____.___.______.___+_____.___.______.___+_____.___._____.__+_____.___.__________.___+_____.___.______.______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.___________________.___+_____.___.______._____+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.___._____+_____.___.______._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__.______+_____.___.____________________.___+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._______________.____+_____.___.______._____+_____.___.________________.________+_____.___.____________._+_____.___.___._____+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___._________.____+_____.___._________.____+_____.___.___._____+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._______.________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._______.________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___________.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_____=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.___
_+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.________________.____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.__________.______+_____.___._________._______+_____.___.______._____+_____.___._________________._____+_____.___.______________.______+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._._____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._._____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.__.__+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.__________________._+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.______.___+_____.___.___._____+_____.___.__________.____+_____.___._________.__+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________.______+
_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.________+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________.______+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________._+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,____________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.__+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___._____.______+_____.___._________.____+_____.___.___._____+_____.___.______.______+_____.___.______._____+_____.___.______.___+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.___.____+_____.___.____________._+_____.___._________________._____+_____.___.______.___+_____.___._________________._____+_____.___.______.______+_____.___.__________.____+_____.___.________________.________+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___._________._____+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.______.___+_____.___.___._____+_____.___.__________.____+_____.___._________.__+_____.___._____.___+_____.___.___________.____+_____.___.___________________._+_____.___.____________________.___+_____.___.______.______+_____.___.______.______+_____.___._________________._____+_____.___.______._____+_____.___.____________________.___+_____.___.______._____+_____.___._____.__+_____.___._________________._____+_____.___.______.______+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._______________.____+_____.___.______._____+_____.___.________________.________+_____.___.____________._+_____.___.___._____+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___._________.____+_____.___._________.____+_____.___.___._____+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.______________.___+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____
.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.______________.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________.______+_____.___._____.______+_____.___._______________.______+_____.___.__.______+_____.___.___._____+_____.___.___________.____+_____.___.__.__+_____.___.________________.____+_____.___.____________________.___+_____.___.______________.______+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.___________________._+_____.___.________.__+_____.___.__________________._+_____.___._________________._____+_____.___.______.______+_____.___.__________.____+_____.___.________________.________+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.___.____+_____.___.________.__+_____.___.__________________._+_____.___.______________._____+_____.___.___________________._______+_____.___.___._____+_____.___._________.__+_____.___.____________________.___+_____.___._____.______+_____.___.__________.____+_____.___.______._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.__________.______+_____.___.________.__+_____.___.__________________._+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.______________.__+_____.___.___________________._______+_____.___.___._____+_____.___._________.__+_____.___.____________________.___+_____.___._____.______+_____.___.__________.____+_____.___.______._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,___=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___._____________._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___.__________________.________+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.__+_____.___._______________.______+_____.___._____.______+_____.___.______._____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.________________.____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.__________________
__.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________.______+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.________+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________.______+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____.________+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,__=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________________.________+_____.___.______.___+_____.___.______.___+_____.___._____.__+_____.___.__________.___+_____.___.______.______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.___________________.___+_____.___.______._____+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.___._____+_____.___.______._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__.______+_____.___.____________________.___+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._______________.____+_____.___.______._____+_____.___.________________.________+_____.___.____________._+_____.___.___._____+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___._________.____+_____.___._________.____+_____.___.___._____+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._______.__+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._______.__+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._
____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.________________.____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.__________.______+_____.___._________._______+_____.___.______._____+_____.___._________________._____+_____.___.______________.______+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___________________._+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_______=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___._____._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___._________._______+_____.___._____.______+_____.___._______________.______+_____.___.______.___+_____.___.__________________._____+_____.___.______________.______+_____.___._____.__+_____.___.____________._+_____.___.______._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__________.______+_____.___.______.___+_____.___.__________.____+_____.___._____.__+_____.___.__________________.__
___+_____.___.___._____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.______________.__+_____.___.________._______+_____.___._________________._____+_____.___.______.______+_____.___.______.___+_____.___.______._____+_____.___.____________________.___+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.__________.__+_____.___.__________.______+_____.___.___________._+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________.__+_____.___._____.__+_____.___.______.______+_____.___.___________________._______+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________.___+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.__._______+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____._______+_____.___._____.______+_____.___._______________.______+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.__________.__+_____.___._______________.____+_____.___.___________._+_____.___.________________.___+_____.___.__________.__+_____.___.___.__+_____.___.___________._+_____.___.______________.________+_____.___.__________.__+_____.___.____________.________+_____.___.___________._+_____.___.________________.___+_____.___.__________.__+_____.___.____________.____+_____.___.___________._+_____.___.___________._+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_____________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.________._______+_____.___.____________________.___+_____.___.__________.____+_____.___.__________.____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___._________.__+_____.___._____.______+_____.___.______.______+_____.___.__________________._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__.______+_____.___.____________________.___+_____.___.___________.____+_____.___.________
______.__+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___.__________________._+_____.___._________________._____+_____.___.______________.______+_____.___.___________________._______+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________.___+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.__________._________+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.________+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,______=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.________._______+_____.___.____________________.___+_____.___.__________.____+_____.___.__________.____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___._________.__+_____.___._____.______+_____.___.______.______+_____.___.__________________._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__.______+_____.___.____________________.___+_____.___.___________.____+_____.___.______________.__+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___.__________________._+_____.___._________________._____+_____.___.______________.______+_____.___.___________________._______+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.______________.________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.______________.________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____
.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.__.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,___________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______.__+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___._________._______+_____.___._____.______+_____.___._______________.______+_____.___.______.___+_____.___.__________________._____+_____.___.______________.______+_____.___._____.__+_____.___.____________._+_____.___.______._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__________.______+_____.___.______.___+_____.___.__________.____+_____.___._____.__+_____.___.__________________._____+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________.________+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______.______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________.________+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___.__________________.________+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.__+_____.___._______________.______+_____.___._____.______+_____.___.______._____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____._
__.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.___._____+_____.___.______________.____+_____.___._____.__+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___.________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________.___+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___.________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___.______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,____=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______._______+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._______________.____+_____.___.___.______+_____.___._____________.___+_____.___._________._______+_____.___._________._______+_____.___.__________________.________+_____.___.______________._______+_____.___._____________.___+_____.___.______________._____+_____.___.________________._____+_____.___.____.___+_____.___.__.______+_____.___.______________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.__________.______+_____.___._________._______+_____.___.______._____+_____.___._________________._____+_____.___.______________.______+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._______________
__._____+_____.___._____.___+_____.___.___________._+_____.___.____________________._+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________________._+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.__________._____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____)]),_________________=_______.___([_______.__________(),(),_______.______()(____=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.___________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___.__________________.________+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.__+_____.___._______________.______+_____.___._____.______+_____.___.______._____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___._______________.______+_____.___.__.___+_____.___.___________.________+_____.___.___________________._______+_____.___.___._____+_____.___.__________________._____+_____.___._________________._____+_____.___.___________________._______+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__.___+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.___+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__.___+_____.___.___________.____+_____.___.____________.________
+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._._____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_____________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___._________________._+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.___.____+_____.___._________._+_____.___._____.______+_____.___.______.______+_____.___.__________________._____+_____.___.______._____+_____.___._____.__+_____.___._________________._____+_____.___.______.______+_____.___.________________.___+_____.___.___._____+_____.___._________.__+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___.______.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___.___________________._+_____.___._________.__+_____.___.______________.______+_____.___._________________._____+_____.___._________.____+_____.___.______________._____+_____.___.______.______+_____.___._______________.______+_____.___._____.__+_____.___.______._____+_____.___.______.___+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___._______________.______+_____.___._________________._____+_____.___.___________________._______+_____.___.________________.________+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___._________._____+_____.___.__.______+_____.___.__.______+_____.___.__.______+_____.___.__.______+_____.___.___._____+_____.___.___________.____+_____.___.____________.________+_____.___.___________________._______+_____.___.___._____+_____.___.__________________._____+_____.___._________________._____+_____.___.______________.______+_____.___.____________________.___+_____.___.______._____+_____.___._________________._____+_____.___.______________.______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__.______+_____.___.____________________.___+_____.___.___________.____+_____.___.___________________.___+_____.___.______________.______+_____.___.___._____+_____.___.______._____+_____.___._____.______+_____.___.______________.______+_____.___.______.______+_____.___.______.___+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._______________.____+_____.___.______._____+_____.___.________________.________+_____.___.____________._+_____.___.___._____+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___._________.____+_____.___._________.____+_____.___.___._____+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________._________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________.___+_____.___.___________._
___+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.________+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,___=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.___________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___.__________________.________+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.__+_____.___._______________.______+_____.___._____.______+_____.___.______._____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___._______________.______+_____.___.__.___+_____.___.___________.________+_____.___.___________________._______+_____.___.___._____+_____.___.__________________._____+_____.___._________________._____+_____.___.___________________._______+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________._____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___.____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________._____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.__._+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+
_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.__________.____+_____.___.______.___+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________.__+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________.__+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________.____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,____________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________________.________+_____.___.______.___+_____.___.______.___+_____.___._____.__+_____.___.__________.___+_____.___.______.______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.___________________.___+_____.___.______._____+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.___._____+_____.___.______._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__.______+_____.___.____________________.___+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._______________.____+_____.___.______._____+_____.___.________________.________+_____.___.____________._+_____.___.___._____+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___._________.____+_____.___._________.____+_____.___.___._____+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.
___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___.___+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.________________._______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,__________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.________._______+_____.___.____________________.___+_____.___.__________.____+_____.___.__________.____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___._________.__+_____.___._____.______+_____.___.______.______+_____.___.__________________._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__.______+_____.___.____________________.___+_____.___.___________.____+_____.___.______________.__+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___.__________________._+_____.___._________________._____+_____.___.______________.______+_____.___.___________________._______+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________.___+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.________+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___________________.________+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.__________._+_____.___._________.___+_____.___.________
_.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.___________________._+_____.___.__._______+_____.___._________.____+_____.___.____________._+_____.___._________________._____+_____.___.______________.______+_____.___.______._____+_____.___._________._+_____.___.______________.______+_____.___._________________._____+_____.___._________.____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__.__+_____.___._________.____+_____.___._________________._____+_____.___.___________________._______+_____.___._____.______+_____.___.__________.____+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___.___.__+_____.___.________._______+_____.___.______________.______+_____.___.________________.________+_____.___.____________._+_____.___.______._____+_____.___._________________._____+_____.___._________________.____+_____.___.____________________.________+_____.___.____________________.___+_____.___.______.______+_____.___.___________________._______+_____.___._________________._____+_____.___._________.____+_____.___._____.___+_____.___.___________.____+_____.___.__________.______+_____.___.______.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.__________.______+_____.___.____________________.___+_____.___.__________.____+_____.___._____.__+_____.___.____________________.___+_____.___.______.___+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___.______.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___.__________._____+_____.___.__________.___+_____.___.___._____+_____.___.______._____+_____.___.______________._____+_____.___.______________.______+_____.___.____________________.___+_____.___.______.______+_____.___.___________________._______+_____.___._________________._____+_____.___._________.____+_____.___.______________._____+_____.___._______________.______+_____.___.________________.________+_____.___.______._____+_____.___.___._____+_____.___.______.___+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.____________________.___+_____.___.______.___+_____.___.______.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.______________.__+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___________________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.______________.__+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._________________.____+_____.___._____.______+_____.___._______________.______+_____.___.____________________.___+_____.___.___________.____+_____.___.__________.______+_____.___.__________.____+_____.___.___._____+_____.___.________________.____+_____.___.___._____+_____
.___.__________.____+_____.___._____.___+_____.___.___________._+_____.___._________.___+_____.___.__________.__+_____.___.__________._____+_____.___.___________._+_____.___.______________.__+_____.___.__________.__+_____.___.____._____+_____.___.___________._+_____.___._____________.__+_____.___.__________.__+_____.___._____________._______+_____.___.___________._+_____.___.______________.__+_____.___.__________.__+_____.___.__________._________+_____.___.___________._+_____.___._________________.____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_____=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___._____.______+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.________________.____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._____________.________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._____________.________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.________________._______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,______=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___._._______+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.___________________.___+_____.___._______
___.__+_____.___.____________________.___+_____.___.______.___+_____.___.__________.__+_____.___.__________.____+_____.___._____.__+_____.___._______________.______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________________.____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________________.____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________.__+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,__=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____.__+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.___+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.________________
___._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____.__+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.________+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,___________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______._______+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.___.__+_____.___.__________________.________+_____.___._____________.___+_____.___._________._______+_____.___._____________.___+_____.___.______.______+_____.___.__________________._____+_____.___.______________.______+_____.___.________________.________+_____.___.____________._+_____.___.______._____+_____.___._____.__+_____.___._________________._____+_____.___.______.______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._______.__+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___________________._+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._______.__+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___________.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.______+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+___
__.___.___________.____+_____.___.__________.______+_____.___._________._______+_____.___.__________.____+_____.___._____.__+_____.___.__________________._____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.__________.____+_____.___._________________._____+_____.___.__________________._+_____.___.___._____+_____.___.______________.______+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.______________.__+_____.___.________._______+_____.___._________________._____+_____.___.______.______+_____.___.______.___+_____.___.______._____+_____.___.____________________.___+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.___________._+_____.___.________._____+_____.___.___________.____+_____.___._____________.__+_____.___.________.__+_____.___._____.__+_____.___.______.______+_____.___.___________________._______+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___.___+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____._____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________.__+_____.___._____.______+_____.___._______________.______+_____.___.___________.____+_____.___.__________.______+_____.___._____.______+_____.___.____________._+_____.___.____________._+_____.___.___._____+_____.___.______________.______+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.______.___+_____.___.______._____+_____.___.___._____+_____.___.____________._+_____.___._____.___+_____.___.__.______+_____.___.__________.__+_____.___._______________.____+_____.___.___________._+_____.___.___.___+_____.___.__________.__+_____.___.___.__+_____.___.___________._+_____.___.____._____+_____.___.__________.__+_____.___.____________.________+_____.___.___________._+_____.___.___.___+_____.___.__________.__+_____.___.____________.____+_____.___.___________._+_____.___._______.______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_______=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.______+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.__________.______+_____.___._________._______+_____.___.__________.____+_____.___._____.__+_____.___.__________________._____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___
.__________.____+_____.___._________________._____+_____.___.__________________._+_____.___.___._____+_____.___.______________.______+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__________.______+_____.___._____.______+_____.___.____________._+_____.___.____________._+_____.___.___._____+_____.___.______________.______+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.______________.__+_____.___.________._______+_____.___._________________._____+_____.___.______.______+_____.___.______.___+_____.___.______._____+_____.___.____________________.___+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.___________._+_____.___.______________.__+_____.___.___________.____+_____.___._____________.__+_____.___.________.__+_____.___._____.__+_____.___.______.______+_____.___.___________________._______+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____.________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________.______+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____.________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._________________._______+_____.___._____.______+_____.___._______________.______+_____.___.___________.____+_____.___._____________.__+_____.___.______.___+_____.___.______._____+_____.___.___._____+_____.___.____________._+_____.___._____.___+_____.___.__.______+_____.___.__________.__+_____.___.___.__+_____.___.___________._+_____.___.____.________+_____.___.__________.__+_____.___.____________.________+_____.___.___________._+_____.___.___________________.__+_____.___.__________.__+_____.___.____________.____+_____.___.___________._+_____.___.____.________+_____.___.__________.__+_____.___.__________._____+_____.___.___________._+_____.___._________________._______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____)]),______=_______.___([_______.__________(),(),_______.______()(___________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.__________________._+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___.______.___+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.__
_.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________.___+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___________.___+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.__._+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,____________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.__________________._+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.______.___+_____.___.___._____+_____.___.__________.____+_____.___._________.__+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.__+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.________+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.__+_____.___.___________.___
_+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________._+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,___=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________________.________+_____.___.______.___+_____.___.______.___+_____.___._____.__+_____.___.__________.___+_____.___.______.______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.___________________.___+_____.___.______._____+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.___._____+_____.___.______._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__.______+_____.___.____________________.___+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._______________.____+_____.___.______._____+_____.___.________________.________+_____.___.____________._+_____.___.___._____+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___._________.____+_____.___._________.____+_____.___.___._____+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____.________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____.________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.____
_______________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___.______.___+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.__________.______+_____.___._________._______+_____.___.______._____+_____.___._________________._____+_____.___.______________.______+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________._____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________._____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.__+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,__=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___._________________.______+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.______________.__+_____.___.________._______+_____.___.__________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______.___+_____.___.________________.___+_____.___.___._____+_____.___._________.__+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___.______.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___.___.__+_____.___.__________________.________+_____.___._____________.___+_____.___._________._______+_____.___._____________.___+_____.___.______.______+_____.___.__________________._____+_____.___.______________.______+_____.___.________________.________+_____.___.____________._+_____.___.______._____+_____.___._____.__+_____.___._________________._____+_____.___.______.______+_____.___._____.___+_____.___.___________.____+_____.___.__________.______+_____.___._______________.______+_____.___.____________________.___+_____.___.______.___+_____.___.___._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.______________.__+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___.__________________._+_____.___._________________._____+_____.___.______________.______+_____.___.___________________._______+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___._______________.______+_____.___._________________._____+_____.___.___________________._______+_____.___.________________.________+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___._________._____+_____.___.__.______+_____.___.__.______+_____.___.__.______+_____.___.__.____
__+_____.___.___._____+_____.___.___________.____+_____.___.____________.________+_____.___.___________________._______+_____.___.___._____+_____.___.__________________._____+_____.___._________________._____+_____.___.______________.______+_____.___.____________________.___+_____.___.______._____+_____.___._________________._____+_____.___.______________.______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________.________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._______________.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,____=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________________.________+_____.___.______.___+_____.___.______.___+_____.___._____.__+_____.___.__________.___+_____.___.______.______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.___________________.___+_____.___.______._____+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.___._____+_____.___.______._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__.______+_____.___.____________________.___+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._______________.____+_____.___.______._____+_____.___.________________.________+_____.___.____________._+_____.___.___._____+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___._________.____+_____.___._________.____+_____.___.___._____+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________._____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+__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
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
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
._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___________._____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_____________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.____________________._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.___.____+_____.___._________._+_____.___._____.______+_____.___.______.______+_____.___.__________________._____+_____.___.______._____+_____.___._____.__+_____.___._________________._____+_____.___.______.______+_____.___.________________.___+_____.___.___._____+_____.___._________.__+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___.______.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___.______________.__+_____.___.______________._____+_____.___.______________._____+_____.___._____.__+_____.___.______.______+_____.___._____.__+_____.___.______._____+_____.___.______________._____+_____.___.______________._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___._______________.______+_____.___._________________._____+_____.___.___________________._______+_____.___.________________.________+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__.______+_____.___.____________________.___+_____.___.___________.____+_____.___.____________.________+_____.___.___________________._______+_____.___.___._____+_____.___.__________________._____+_____.___._________________._____+_____.___.______________.______+_____.___.____________________.___+_____.___.______._____+_____.___._________________._____+_____.___.______________.______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.___________________.___+_____.___.______________.______+_____.___.___._____+_____.___.______._____+_____.___._____.______+_____.___.______________.______+_____.___.______.______+_____.___.______.___+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.______________.__+_____.___.________._______+_____.___._________________._____+_____.___.______.______+_____.___.______.___+_____.___.______._____+_____.___.____________________.___+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.________.__+_____.___._____.__+_____.___.______.______+_____.___.___________________._______+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________.____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______.________+_____.___.___________.____+_____.___.___________________._+_____.___.___._____
+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________.____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._________________.____+_____.___._____.______+_____.___._______________.______+_____.___.___________.____+_____.___._______________.____+_____.___.______._____+_____.___.________________.________+_____.___.____________._+_____.___.___._____+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___._________.____+_____.___._________.____+_____.___.___._____+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.__.______+_____.___.__________.__+_____.___.__________._________+_____.___.___________._+_____.___.____________.____+_____.___.__________.__+_____.___.____________.__+_____.___.___________._+_____.___.______________.__+_____.___.__________.__+_____.___._______.______+_____.___.___________._+_____.___.__________._____+_____.___.__________.__+_____.___.________________._______+_____.___.___________._+_____.___.__________________.__+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___._._______+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.___________________.___+_____.___.______________._____+_____.___.__________.____+_____.___.____________________.___+_____.___._________.____+_____.___._______________.______+_____.___.___________________._______+_____.___.____________________.___+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________._____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._________________._______+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________._____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___.________________
_._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,______=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.__.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___.__________________.________+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.__+_____.___._______________.______+_____.___._____.______+_____.___.______._____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___.___________________._+_____.___._________.__+_____.___.______________.______+_____.___._________________._____+_____.___._________.____+_____.___.______________._____+_____.___.______.______+_____.___._______________.______+_____.___._____.__+_____.___.______._____+_____.___.______.___+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._______.__+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___________________._+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._______.__+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________._____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____)]),_=_______.___([_______.__________(),(),_______.______()(______=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.________+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___.____
_____.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________________._____+_____.___._____.__+_____.___.____________._+_____.___.__________.__+_____.___.___._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________________._____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________.____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________________._____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______.______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,___=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________________.________+_____.___.______.___+_____.___.______.___+_____.___._____.__+_____.___.__________.___+_____.___.______.______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.___________________.___+_____.___.______._____+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.___._____+_____.___.______._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__.______+_____.___.____________________.___+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._______________.____+_____.___.______._____+_____.___.________________.________+_____.___.____________._+_____.___.___._____+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___._________.____+_____.___._________.____+_____.___.___._____+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.
___.________________._______+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________._______+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.__._+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_______=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.________________.____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.__________.______+_____.___._________._______+_____.___.______._____+_____.___._________________._____+_____.___.______________.______+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________.______+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________.______+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________.____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.________+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._____
____.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.__________.______+_____.___.________._+_____.___._____.______+_____.___.____________._+_____.___.__________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___.___._____+_____.___.__________.____+_____.___.______._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___._________._____+_____.___.__.______+_____.___.__.______+_____.___.___._____+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._____________.________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________.____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._____________.________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.________________._______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.________._______+_____.___.____________________.___+_____.___.__________.____+_____.___.__________.____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___._________.__+_____.___._____.______+_____.___.______.______+_____.___.__________________._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___._________._____+_____.___.__.______+_____.___.__.______+_____.___.___._____+_____.___.___________.____+_____.___.______________.__+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___.__________________._+_____.___._________________._____+_____.___.______________.______+_____.___.___________________._______+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____
.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________.______+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________._______+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________.______+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._________________.____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,__=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.__________________._+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.______.___+_____.___.____________________.___+_____.___.__________.____+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________.______+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._._____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________.______+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.________.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_____
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_____.___.__.______+_____.___.__.______+_____.___.___._____+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.__________.______+_____.___._________._______+_____.___.______._____+_____.___._________________._____+_____.___.______________.______+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________.______+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________.______+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________.____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,___________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___._____._+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.___.__+_____.___.___._____+_____.___.______.______+_____.___.__________________._____+_____.___.______________.______+_____.___.________________.________+_____.___.____________._+_____.___.______._____+_____.___.___._____+_____.___.___________________._______+_____.___.______________._____+_____.___._________.____+_____.___.______.___+_____.___.__________.___+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.__________.______+_____.___._________._______+_____.___.______._____+_____.___._________________._____+_____.___.______________.______+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________._____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________
_.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________._____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____._____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,____=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________________.________+_____.___.______.___+_____.___.______.___+_____.___._____.__+_____.___.__________.___+_____.___.______.______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.___________________.___+_____.___.______._____+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.___._____+_____.___.______._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__.______+_____.___.____________________.___+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._______________.____+_____.___.______._____+_____.___.________________.________+_____.___.____________._+_____.___.___._____+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___._________.____+_____.___._________.____+_____.___.___._____+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.__+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.__+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._________.______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,____________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.____
_______.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________.________+_____.___._____________.___+_____.___._________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._______.________+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___.____+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._______.________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________.________+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.__+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.___________________._+_____.___.__._______+_____.___._________.____+_____.___.____________._+_____.___._________________._____+_____.___.______________.______+_____.___.______._____+_____.___._________._+_____.___.______________.______+_____.___._________________._____+_____.___._________.____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__.__+_____.___._________.____+_____.___._________________._____+_____.___.___________________._______+_____.___._____.______+_____.___.__________.____+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___.__________._________+_____.___.________._______+_____.___.______________.______+_____.___.________________.________+_____.___.____________._+_____.___.______._____+_____.___._________________._____+_____.___._________________.____+_____.___.___________.__+_____.___.______._____+_____.___._____.__+_____.___.__________.____+_____.___._________________.____+_____.___.__________________._______+_____.___.____________________.___+_____.___.___________________._______+_____.___.___________________._______+_____.___._____.__+_____.___.______.______+_____.___.__________.___+_____.___._____.___+_____.___.___________.____+_____.___.__________.______+_____.___.______.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___.______.___+_____.___.___
__.___+_____.___._______._+_____.___._____.___+_____.___._________._____+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.__________.______+_____.___.____________________.___+_____.___.__________.____+_____.___._____.__+_____.___.____________________.___+_____.___.______.___+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___._____________.__+_____.___.______.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________._+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.____________________.___+_____.___.______.___+_____.___.______.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________________._+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______._+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________________._+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___.___+_____.___._____.______+_____.___._______________.______+_____.___.__________.__+_____.___.___________________._+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.__________.__+_____.___.___.__+_____.___.___________.____+_____.___.__________.______+_____.___._____.______+_____.___.______.______+_____.___.____________._+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.__________.__+_____.___.____________.____+_____.___.__.______+_____.___.__________.__+_____.___.__________._____+_____.___.___________._+_____.___.___________________._+_____.___.__________.__+_____.___.____._____+_____.___.___________._+_____.___._._____+_____.___.__________.__+_____.___._____________._______+_____.___.___________._+_____.___.___________________._+_____.___.__________.__+_____.___.__________._________+_____.___.___________._+_____.___._________________.____+_____.___._____.______+_____.___._______________.______+_____.___.___._____+_____.___.___________.____+_____.___.__________.______+_____.___.__________.____+_____.___.___._____+_____.___.________________.____+_____.___.___._____+_____.___.__________.____+_____.___._____.___+_____.___.___________._+_____.___._________.___+_____.___.__________.__+_____.___.__________._____+_____.___.___________._+_____.___.___________________._+_____.___.__________.__+_____.___.____._____+_____.___.___________._+_____.___._____________.__+_____.___.__________.__+_____.___._____________._______+_____.___.___________._+_____.___.___________________._+_____.___.__________.__+_____.___.__________._________+_____.___.___________._+_____.___._________________.____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_____________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___._______.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___._
__________.____+_____.___._______________.__+_____.___.__________________.________+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.__+_____.___._______________.______+_____.___._____.______+_____.___.______._____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___.___.____+_____.___.____________._+_____.___._______________.______+_____.___.________.__+_____.___.___________________._______+_____.___._________.__+_____.___.______________.________+_____.___.______________._____+_____.___.__________.__+_____.___._________.____+_____.___.____________________.___+_____.___.__________________._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________________.____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____________________.____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._________________._______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____)]),__________=_______.___([_______.__________(),(),_______.______()(_________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.______________._+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___.__________________.________+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.__+_____.___._______________.______+_____.___._____.______+_____.___.______._____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.______________.__+_____.___.________._______+_____.___.__________
_______._____+_____.___.______.______+_____.___.______.___+_____.___.______._____+_____.___.____________________.___+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.__________.__+_____.___.__________.______+_____.___.___________.____+_____.___._________.___+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.________.__+_____.___._____.__+_____.___.______.______+_____.___.___________________._______+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___._+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___________________._+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___._+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.____+_____.___._____.______+_____.___._______________.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___._.________+_____.___._________________._____+_____.___._____.__+_____.___.______.______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.__________.__+_____.___._______________.____+_____.___.___________._+_____.___.___._+_____.___.__________.__+_____.___.___.__+_____.___.___________._+_____.___.___________________._+_____.___.__________.__+_____.___.____________.________+_____.___.___________._+_____.___.___._+_____.___.__________.__+_____.___.____________.____+_____.___.___________._+_____.___.____._____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,___=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___._._______+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________________._____+_____.___._____.__+_____.___.____________._+_____.___.__________.__+_____.___.___._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.__
_.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.__________.______+_____.___._________._______+_____.___.______._____+_____.___._________________._____+_____.___.______________.______+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____.__+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____.__+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________.________+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.____________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___.__________________.________+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.__+_____.___._______________.______+_____.___._____.______+_____.___.______._____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.__+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.__________
_._+_____.___._.______+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.__+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___._+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,__=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.____________________.__+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___.__________________.________+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.__+_____.___._______________.______+_____.___._____.______+_____.___.______._____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___.______.___+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________.___+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______.________+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_____________=lambda:_____.___.______._______+_____.___._____________.__+_____.___._________
__________.______+_____.___.________._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___.__.__+_____.___.__________________.________+_____.___.______.___+_____.___.______.___+_____.___._____.__+_____.___.__________.___+_____.___.______.______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.___________________.___+_____.___.______._____+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.___._____+_____.___.______._____+_____.___.______.___+_____.___._____.___+_____.___._______._+_____.___._____.___+_____.___.__.______+_____.___.____________________.___+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._______________.____+_____.___.______._____+_____.___.________________.________+_____.___.____________._+_____.___.___._____+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___._________.____+_____.___._________.____+_____.___.___._____+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________________._____+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.______________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________________._____+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___.________+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,______=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___.________.______+_____.___._______________.______+_____.___._______________.______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.__________.______+_____.___._________._______+_____.___.______._____+_____.___._________________._____+_____.___.______________.______+_____.___.___._____+_____.___._____.___+_____.___.________________._+
_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___.___+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.__.__+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,____________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.__________.____+_____.___.______.___+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________.___+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.__________._________+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___________.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.____
__.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.________________._______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,____=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.____________________.______+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___.__________________.________+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.__+_____.___._______________.______+_____.___._____.______+_____.___.______._____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___.____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.__________________._____+_____.___._____.__+_____.___._____.__+_____.___.______________._____+_____.___._____.______+_____.___.____________._+_____.___.____________._+_____.___.___._____+_____.___.______________.______+_____.___.__________________._____+_____.___.____________________.___+_____.___.______.___+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___._+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______________.___+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.___._+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______._______+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,__________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.____._______+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+___
__.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___._________________._____+_____.___._______________.______+_____.___._________.__+_____.___._____.______+_____.___.______.___+_____.___.__________________._____+_____.___.____________________.___+_____.___.______._____+_____.___.___._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________.___+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______._______+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.________________.___+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.__________________.____+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_____=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.________________.____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___._____.__+_____.___.______.______+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________._________+_____.___.___________.____+_____.___.___________________._+_____.___._________________
_._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________________._+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.__________._________+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._________________.__+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.__________________._+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.__+_____.___.__.______+_____.___.____________________.___+_____.___._________.____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.________.______+_____.___._____.__+_____.___.___________________._______+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.___._____+_____.___.______.___+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___.__________.______+_____.___._________._______+_____.___.______._____+_____.___._________________._____+_____.___.______________.______+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._______.__+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._____________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._______.__+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___________________.___+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,___________=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.____.______+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.______
___.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___.__________________.________+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.__+_____.___._______________.______+_____.___._____.______+_____.___.______._____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___.___________________.___+_____.___.___________________._______+_____.___.___._____+_____.___.__________________._____+_____.___.______________.______+_____.___.________________.________+_____.___.____________._+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________________._______+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.____________________._+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___._________________._______+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___.________+_____.___._____.______+_____.___._______________.______+_____.___._________________.____,_______=lambda:_____.___.______._______+_____.___._____________.__+_____.___.___________________.______+_____.___.____________._____+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___._________.___+_____.___.___________.____+_____.___._____________.____+_____.___.____________________.___+_____.___.______.___+_____.___.______._____+_____.___._____.___+_____.___.___________.____+_____.___._______________.__+_____.___.__________________.________+_____.___.______._____+_____.___.______._____+_____.___.______________.______+_____.___._____.__+_____.___._______________.______+_____.___._____.______+_____.___.______._____+_____.___.___._____+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._________._____+_____.___.___________.____+_____.___.__________.______+_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____+_____.___._____.___+_____.___.__.______+_____.___.___________.____+_____.___._____________.__+_____.___.____________________.___+_____.___.______._____+_____.___.
______._____+_____.___.______________.______+_____.___._____.___+_____.___.___________.____+_____.___.______________.__+_____.___.___.______+_____.___.____.___+_____.___.________________.___+_____.___._____________.___+_____.___.______________._____+_____.___.________._______+_____.___._________._+_____.___._____________.________+_____.___._____.___+_____.___.___________.____+_____.___._____________.____+_____.___.__________________._____+_____.___.______._____+_____.___.______________.____+_____.___._____.___+_____.___.__________.__+_____.___._________.___+_____.___.___________.____+_____.___._____________.__+_____.___.________________._____+_____.___._________________._____+_____.___.____________________.___+_____.___.___________________._______+_____.___._____.___+_____.___.________________._+_____.___._____.___+_____.___._._____+_____.___.____________________.________+_____.___._____.___+_____.___.________._____+_____.___._____.___+_____.___._______________.______+_____.___.___________.____+_____.___.__.__+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____.__+_____.___.___________.____+_____.___.___________________._+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___.___________________.__+_____.___.___________.____+_____.___.___________________._+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.______+_____.___.___._____+_____.___.______.______+_____.___._________________._____+_____.___._____.___+_____.___.___________._+_____.___.____.__+_____.___.___________.____+_____.___.____________.________+_____.___.___._____+_____.___.______.______+_____.___.___________________._______+_____.___.______________._____+_____.___.__________________._____+_____.___._________________._____+_____.___.__________.____+_____.___.______________._____+_____.___._________________._____+_____.___._________.__+_____.___._________.__+_____.___.______.___+_____.___.___._____+_____.___.______._____+_____.___._____.___+_____.___.___________._+_____.___._______.________+_____.___._____.______+_____.___._______________.______+_____.___._________________.____)]))]),_=_______.___([_______.__________(),(),_______.______()(________________=_______.___([_______.__________(),(),_______.______()(____________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____.____________________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________],_=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____.____________,________,_____.__.___________(),________,_____.__.______(),_____._____._________],_____________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.__________________,________,_____.__.___________()],___=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.__________________,________,_____.__.___________(),________,_____.__.____________()],__=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.____________,________,_____.__.________________(),_____._____.____________],________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.___________________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.____________(),________,_____.__.___________(),________,_____.__.______(),_____._____.____________],_______=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.____________________,________,_____.__._(),_____._____.________________],_________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.____________________,________,_____.__._(),_____._____._________],___________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.________],____=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.___,________,_____.__.___________(),________,_____.__.______(),_____.__
___.____________,________,_____.__.______(),_____._____.____________________,________,_____.__.___________(),________,_____.__.___________()],______=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.____________,________,_____.__.___________()],_____=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____.____________________,________,_____.__.________________(),_____._____.____________],__________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____._________,________,_____.__.___________(),________,_____.__.____________()])]),_________________=_______.___([_______.__________(),(),_______.______()(____________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.________________],_______=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.____________________,________,_____.__.________________(),_____._____.____________],____=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____._,________,_____.__.___________()],__=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.____________,________,_____.__.___________(),________,_____.__.______(),_____._____._________,________,_____.__.___________()],______=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____.____________________,________,_____.__.___________(),________,_____.__.____________()],__________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.____________],_____________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________,________,_____.__.______()],_____=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____.____________________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.____________(),________,_____.__.___________()],___________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.____________________,________,_____.__._(),_____._____.____________________,________,_____.__.________________(),_____._____.____________,________,_____.__.___________()],________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._____,________,_____.__.___________()],___=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.________________,________,_____.__.____()],_=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____.________________,________,_____.__.___________(),________,_____.__.__________(),_____._____.____________],_________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____._________])]),_______=_______.___([_______.__________(),(),_______.______()(______=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.______],_=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.___,________,_____.__.___________(),________,_____.__.____________(),________,_____.__.___________()],________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.____________________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.______(),_____._____.____________],_____________=lambda:[________,_____.__._(),_____._____.____________,________,__
___.__._______________(),_____._____.____________,________,_____.__._(),_____._____.____________],__________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____._________,________,_____.__.___________(),________,_____.__.___________()],_____=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.________________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________________],____=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.__________________,________,_____.__.___________(),________,_____.__.____________(),________,_____.__.___________()],__=lambda:[________,_____.__._(),_____._____.____________],___________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.______,________,_____.__.________________(),_____._____.____________],_______=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____.____________________,________,_____.__.___________()],____________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.________________,________,_____.__.______(),________,_____.__.______(),_____._____.____________________],_________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______________,________,_____.__._(),_____._____.____________,________,_____.__.___________(),________,_____.__.____________()],___=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____._________,________,_____.__.______(),________,_____.__.______(),_____._____.____________________,________,_____.__._______()])]),___________________=_______.___([_______.__________(),(),_______.______()(___=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.________________],_=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____.____________],_____________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.____________,________,_____.__.________________(),_____._____.____________],___________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.___,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.______(),_____._____.____________,________,_____.__.___________(),________,_____.__.____________()],____________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.____________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________],_______=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____.________________],_________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____.____________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________________,________,_____.__.___________()],__________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.___,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.______(),_____._____.____________________],______=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.________________,________,_____.__.___________()],____=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.___________________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.____________(),________,_____.__.___________()],________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______________,________,_____.__
._________(),________,_____.__._____________()],__=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._____________________],_____=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.__________,________,_____.__.___________()])]),________=_______.___([_______.__________(),(),_______.______()(______=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.____________________,________,_____.__._(),_____._____._________,________,_____.__.________________(),_____._____.____________],_________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____.____________,________,_____.__.________________(),_____._____.____________],_____________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____.____________________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________________,________,_____.__.___________()],___=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.___________,________,_____.__.________________(),_____._____.____________],__=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.___________________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.____________(),________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.____________(),________,_____.__.___________()],____________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.____________________,________,_____.__.___________(),________,_____.__._________________()],_=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______],________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.____________________,________,_____.__._(),_____._____.____________],_____=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____.____________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________],____=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.___________,________,_____.__.___________(),________,_____.__.___________()],___________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.___,________,_____.__.___________(),________,_____.__.____________()],_______=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.____________________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________],__________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.____________,________,_____.__.______()])]),__________________=_______.___([_______.__________(),(),_______.______()(_____=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._____________,________,_____.__.___________(),________,_____.__.___________()],___=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.____________________,________,_____.__.______(),________,_____.__.______(),_____._____.____________________],_________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.______(),_____._____.____________,________,_____.__.__(),________,_____.__.___________()],__=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____._________,________,_____.__.________________(),_____._____.____________],__________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.____________________,________,_____.__.___(),_____._____.____________],_______=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____.____
_.________________,________,_____.__._(),_____._____.____________________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________________],___________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.____________,________,_____.__.___________()],____________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.___,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.______(),_____._____.____________________,________,_____.__.___________(),________,_____.__.___________(),________,_____.__.____________()],_____________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.________________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________________,________,_____.__.___________()],____=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.________________,________,_____.__.___________(),________,_____.__.____________()],_=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._____________,________,_____.__.________________(),_____._____.____________],______=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.____________],________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.___________])]),__________=_______.___([_______.__________(),(),_______.______()(________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.____________________],_____________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____.____________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________________],___=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.___________,________,_____.__.___________()],_________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.____________,________,_____.__.________________(),_____._____.____________],____________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.___________________,________,_____.__.___________()],_______=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.________________],__=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.____________,________,_____.__.________________(),_____._____.____________,________,_____.__.___________()],___________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.________________,________,_____.__.______(),________,_____.__.______(),_____._____.____________________,________,_____.__._______()],_____=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.___________________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.____________(),________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.____________()],______=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.__________________(),_____._____.____________],____=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.____________],_=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______________,________,_____.__._________(),________,_____.__._____________(),________,_____.__.__()],__________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.____________,________,_____.__.___________(),________,_____.__.
______(),_____._____.____________,________,_____.__.___________()])]),______________=_______.___([_______.__________(),(),_______.______()(_________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.___________________],___________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____._________,________,_____.__.___________()],______=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______________,________,_____.__._(),_____._____.____________],_____________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.____________,________,_____.__.___________(),________,_____.__.____________()],_=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____._,________,_____.__.___________(),________,_____.__.____________(),________,_____.__.___________()],_______=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.____________________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.______(),_____._____.____________________],___=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______________,________,_____.__._(),_____._____.____________________,________,_____.__.___________(),________,_____.__.____________()],____=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______________],________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.____________(),________,_____.__.___________()],_____=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.____________________],__=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.________________,________,_____.__.___________(),________,_____.__.______(),_____._____._________],__________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.____,________,_____.__.___________(),________,_____.__.____________(),________,_____.__.___________()],____________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____._________,________,_____.__.___________(),________,_____.__._________________()])]),_______________=_______.___([_______.__________(),(),_______.______()(_=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.__________,________,_____.__.___________(),________,_____.__.____________()],_______=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.___,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.______(),_____._____.____________________,________,_____.__._________________(),________,_____.__.________()],___=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.____________,________,_____.__.___________(),________,_____.__.____________(),________,_____.__.___________()],______=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____.____________,________,_____.__.___________(),________,_____.__.______(),_____._____._________,________,_____.__.___________()],___________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.____________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________________],_____=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.____________,________,_____.__.___________(),________,_____.__.____________()],________=lambda:[________,_____.__._(),_____._____.____________,____
____,_____.__._(),_____._____._______________,________,_____.__._(),_____._____.____________________,________,_____.__.___________()],__=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.___,________,_____.__.___________()],_____________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.__],__________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____.____________________],____________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.____________________,________,_____.__._(),_____._____.____________,________,_____.__.________________(),_____._____.____________],____=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.___,________,_____.__.________________(),_____._____.____________],_________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.________,________,_____.__.________________(),_____._____.____________])]),_=_______.___([_______.__________(),(),_______.______()(_______=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.____________,________,_____.__.___________()],__________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____.____________,________,_____.__.___________(),________,_____.__.____________()],______=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____.____________,________,_____.__.___________(),________,_____.__.______(),_____._____._________],_____=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._____________,________,_____.__.___________()],____=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.____________________,________,_____.__._(),_____._____.____________,________,_____.__.________________(),_____._____.____________,________,_____.__.___________()],_____________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.____________________,________,_____.__.___________()],____________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____._________,________,_____.__.____()],________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.___,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.______(),_____._____.____________,________,_____.__.___________()],_=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.____________________],___________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._________],__=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.____________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________________,________,_____.__.___________()],___=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.___],_________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______________,________,_____.__._(),_____._____.____________,________,_____.__.___________()])]),______=_______.___([_______.__________(),(),_______.______()(_________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.________,________,_____.__.___________()],_____=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.___,________,_____.__.___________()],__=lambda:[________,_____.__._(),_____._____.____________,________,_____.__.________
_______(),_____._____.____________,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____._________],________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.____________],____________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.____________________,________,_____.__.___________(),________,_____.__.____________(),________,_____.__.___________()],__________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.____________________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.______(),_____._____.____________________,________,_____.__.___________()],_=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____.____________________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.____________()],______=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.____________________,________,_____.__.___________(),________,_____.__.___________()],_______=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.____________,________,_____.__.___________(),________,_____.__.______(),_____._____._________],_____________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._________________],___=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.____________________,________,_____.__._(),_____._____.____________________,________,_____.__.________________(),_____._____.____________],____=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.________,________,_____.__.___________(),________,_____.__.____________()],___________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.___________________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________])]),____=_______.___([_______.__________(),(),_______.______()(____________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______________,________,_____.__._(),_____._____.____________________,________,_____.__.___________(),________,_____.__.____________(),________,_____.__.___________()],______=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______________,________,_____.__._(),_____._____.____________________],________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.___,________,_____.__.___________(),________,_____.__.______(),_____._____.____________],___=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.___________________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.____________()],__=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____.____________________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.______(),_____._____.____________],_____________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____.____________,________,_____.__.___________(),________,_____.__.____________(),________,_____.__.___________()],_____=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________],_________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________],____=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.____________________,________,_____.__.___________(),________,_____.__.____________()],_=lambda:[________,_____.__._(),_____._____.____________,_______
_,_____.__._(),_____._____.________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.______(),_____._____.____________],_______=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.______________,________,_____.__.___________(),________,_____.__.____________(),________,_____.__.___________()],___________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.___,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.____________()],__________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.____________])]),__=_______.___([_______.__________(),(),_______.______()(___________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._____________],__________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.___,________,_____.__.___________(),________,_____.__.______(),_____._____.____________],____=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.____________________,________,_____.__.___________()],__=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____.____________],____________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.____________,________,_____.__.___________(),________,_____.__.____________(),________,_____.__.___________()],______=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.___,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__._________________()],_____________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____._________],_____=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.____________________,________,_____.__._(),_____._____.____________________,________,_____.__.___________()],___=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.____,________,_____.__.________________(),_____._____.____________],_=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.___,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.______(),_____._____.____________________,________,_____.__.___________(),________,_____.__.___________(),________,_____.__.______(),_____._____.____________],_________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._____,________,_____.__.___________(),________,_____.__.___________()],_______=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.____________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________],________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____._,________,_____.__.___________(),________,_____.__.____________()])]),_________=_______.___([_______.__________(),(),_______.______()(__=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.____________()],____=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.___,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.______(),_____._____.____________________,________,_____.__.___________(),________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.____________()],___________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.____
_____,________,_____.__.________________(),_____._____.____________,________,_____.__.__________(),_____._____.____________________],______=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.___,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.______(),_____._____.____________________,________,_____.__.___________()],___=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____._________],_____________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____._________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________________],_________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.____],_______=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.____________________,________,_____.__.______(),________,_____.__.______(),_____._____.____________________,________,_____.__._______()],__________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____.____________________,________,_____.__.___________(),________,_____.__.___________()],________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.______________,________,_____.__.___________(),________,_____.__.____________()],_____=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____._________,________,_____.__.______(),________,_____.__.______(),_____._____.____________________],_=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.______________,________,_____.__.________________(),_____._____.____________],____________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____.____________,________,_____.__.___________()])]),____________=_______.___([_______.__________(),(),_______.______()(___________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.___________________,________,_____.__.___________(),________,_____.__.____________()],__________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____._________,________,_____.__.___________()],__=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.______________],_________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______________,________,_____.__._________(),________,_____.__._____________(),________,_____.__.______________(),_____._____.____________],______=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____.____________________,________,_____.__.___________(),________,_____.__._________________()],________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.________________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________],____________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____.____________________,________,_____.__.________________(),_____._____.____________],___=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.________________,________,_____.__.___________(),________,_____.__.____________(),________,_____.__.___________()],______________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________],_____________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.______________,________,_____.__.___________()],_____=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____._
_._(),_____._____.___,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.______(),_____._____.____________________,________,_____.__._________________()],_______=lambda:[],_=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.____________________,________,_____.__._(),_____._____.________________,________,_____.__.___________(),________,_____.__.____________()],____=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.___,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.______(),_____._____.____________________,________,_____.__.___________(),________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.____________(),________,_____.__.___________()])]),_____=_______.___([_______.__________(),(),_______.______()(____________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.__________________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________],________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____.________________,________,_____.__.___________(),________,_____.__.__________(),_____._____.____________________],_=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.______(),_____._____.____________,________,_____.__.__()],__________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____._],_________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____._________,________,_____.__.___________()],_____________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.________________],_____=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.___],_______=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.___________________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.____________(),________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.______(),_____._____.____________],___=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____.____________________,________,_____.__.___________()],______=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.____________________,________,_____.__._(),_____._____._________,________,_____.__.________________(),_____._____.____________,________,_____.__.___________()],____=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.____________________],__=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.____________________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.____________()],___________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______________,________,_____.__._________()])]),_____________=_______.___([_______.__________(),(),_______.______()(___=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.____________________,________,_____.__._(),_____._____.____________,________,_____.__.___________()],________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.___,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.___________()],____=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.
______(),_____._____.____________,________,_____.__._____(),________,_____.__.___________()],___________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.__________________],_____________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.___,________,_____.__.___________(),________,_____.__.____________()],_________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._____________,________,_____.__.___________(),________,_____.__._________________()],______=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.___________________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.____________(),________,_____.__.___________(),________,_____.__.____________()],_______=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.____________________],__=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._____,________,_____.__.________________(),_____._____.____________],__________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____._________,________,_____.__.______()],_____=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.___,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.______(),_____._____.____________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.____________()],_=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.____________________,________,_____.__.________________(),_____._____.____________],____________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____.________________,________,_____.__.___________()])]),___=_______.___([_______.__________(),(),_______.______()(______=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.________________,________,_____.__.______()],____________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.___,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.______(),_____._____.____________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.____________(),________,_____.__.___________()],_____________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._____],_=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____.____________,________,_____.__.________________(),_____._____.____________],____=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.____,________,_____.__.___________(),________,_____.__.____________()],__=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.____________________,________,_____.__._(),_____._____._________,________,_____.__.___________()],________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.____________,________,_____.__.______(),________,_____.__.______(),_____._____.____________________,________,_____.__._______()],_________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____.____________,________,_____.__.___________(),________,_____.__.____________()],___=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____.____________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________________,________,_____.__.____________()],_______=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.________________,________,_____.__
._(),_____._____.____________________],___________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____._________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________],_____=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____._________,________,_____.__.________________(),_____._____.____________,________,_____.__.__________(),_____._____.____________],__________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.____,________,_____.__.___________()])]),____________________=_______.___([_______.__________(),(),_______.______()(___=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____._________,________,_____.__.___________()],________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.________________,________,_____.__.______()],_____=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.___],____=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____.____________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________________,________,_____.__.____________(),________,_____.__.___________()],____________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____.________________,________,_____.__.________________(),_____._____.____________],______=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____.____________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.___________()],_____________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.______________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________],__________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____._________],_______=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.__________,________,_____.__.________________(),_____._____.____________],_=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.___,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.______(),_____._____.____________],___________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.______(),_____._____.____________,________,_____.__._____()],_________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._],__=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.____________________,________,_____.__._(),_____._____.________________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________])]),___________=_______.___([_______.__________(),(),_______.______()(___=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.___,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.______(),_____._____.____________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________],_____________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____.____________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________________],_=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____.____________,________,_____.__._____
______()],_________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.__________],__=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.____________________,________,_____.__._(),_____._____.____________________],________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.__________________,________,_____.__.________________(),_____._____.____________],_______=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.____________________,________,_____.__._(),_____._____.________________,________,_____.__.___________()],____________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.____________________,________,_____.__.______()],__________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.________________,________,_____.__._(),_____._____.____________,________,_____.__.___________(),________,_____.__.____________(),________,_____.__.___________()],_____=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._______________(),_____._____.____________,________,_____.__._(),_____._____._________,________,_____.__._(),_____._____._________,________,_____.__.________________(),_____._____.____________],___________=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.___________,________,_____.__.___________(),________,_____.__._________________()],____=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____._______,________,_____.__._(),_____._____.____________,________,_____.__.______(),________,_____.__.______(),_____._____.____________________],______=lambda:[________,_____.__._(),_____._____.____________,________,_____.__._(),_____._____.___________________,________,_____.__.___________(),________,_____.__.______(),_____._____.____________,________,_____.__.____________(),________,_____.__.___________(),________,_____.__.____________(),________,_____.__.___________()])]))]),_____=_______.___([_______.__________(),(),_______.______()(____________________=______.__,_________________=______._*______._*______._,__=(______._**______._+(______.__**______._+______._)),_________=______._,____=______._*______._*______._*______._,___________=______._*______._*(______.__**______._+______._),____________=______.___,___=______._*______._,______________=(______._**______._**______._+______.__),__________=______._*(______._**______._+______.__),_____=(______.__**______._+______._)*(______._**______._+______.__),_____________=______._*(______._**______._+(______.__**______._+______._)),__________________=((______.__**______._+______._)**______._+______._**______._),_______________=(______._**______._**______._+(______.__**______._+______._)),_____________________=______._*(______.__**______._+______._),________=((______.__**______._+______._)**______._+______._),_______=(______.__**______._+______._)*(______.__**______._+______._),_=(______._**______._+______.__),______=______._*(______.__**______._+______._)*(______.__**______._+______._),___________________=______._*______._*(______._**______._+______.__),________________=(______.__**______._+______._))]),__=_______.___([_______.__________(),(),_______.______()(______=lambda:_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.______.___,_________________=lambda:_____.___.______.___+_____.___.__________.____+_____.___._____.__+_____.___.__________________._____+_____.___.___._____,_____________=lambda:_____.___._________________._____+_____.___.____________._+_____.___.___._____+_____.___.______________.______+_____.___.____________________.___+_____.___.______.______+_____.___.___________________._______,________________=lambda:_____.___.______._____+_____.___.____________________.___+_____.___.______________.______+_____.___.__________.___+_____.___.___._____+_____.___.______._____+_____.___.______.___,____________=lambda:_____.___._________.__+_____.___._____.______+_____.___.______.______+_____.___.__________________._____,__=lambda:_____.___.__________.____+_____.___.___._____+_____.___._________.__+_____.___.______._____,___=lambda:_____.___.___________________._______+_____.___.___._____+_____.___.__________________._____+_____.___._________________._____+_____.___.______________.______+_____.___.____________________.___+_____.___.______._____+_____.___._________________._____+_____.___.______________.______+_____.___.______________._____+_____.___.__________.____+_____.___._____.__+_____.___.______.___+_____.___.______._____,_____=lambda:_____.___.______________.______+_____.___._____.__+_____.___.__________.___+_____.___.__________.__+_____.___
.______._____,_________=lambda:_____.___.______._____+_____.___.___._____+_____.___.______.___+_____.___.______._____,____=lambda:_____.___.______________.______+_____.___.___._____+_____.___.______._____+_____.___._____.______+_____.___.______________.______+_____.___.______.______+_____.___.______.___,_=lambda:_____.___._______________.______+_____.___._________________._____+_____.___.___________________._______+_____.___.________________.________,__________=lambda:_____.___.___._____+_____.___.__________.____+_____.___.______._____+_____.___.______.___,______________=lambda:_____.___.__________________._____+_____.___._________________._____+_____.___._________.____+_____.___.____________._+_____.___.____________________.___+_____.___.______________.______+_____.___.____________________.___+_____.___.______._____+_____.___._________________._____+_____.___.______________.______+_____.___.______.___,_______________=lambda:_____.___.__________.__+_____.___.____________________.___+_____.___.______.______+_____.___.___________________._______+_____.___.__________.____+_____.___.___._____+_____.___.______________.______+_____.___.______.___,________=lambda:_____.___._____.______+_____.___.____________._+_____.___.____________._+_____.___.___._____+_____.___.______________.______,__________________=lambda:_____.___.________.__+_____.___.___._____+_____.___.________________.________+_____.___.__________________._+_____.___._________________._____+_____.___.______________.______+_____.___.___________________._______+_____.___.______.___,___________=lambda:_____.___.________________.____+_____.___.____________________.___+_____.___.__________.____+_____.___._____.______+_____.___.___._____,_______=lambda:_____.___.____________________.___+_____.___.______.______+_____.___.______.______+_____.___._________________._____+_____.___.______._____+_____.___.____________________.___+_____.___.______._____+_____.___._____.__+_____.___._________________._____+_____.___.______.______)]),___=_______.___([_______.__________(),(),_______.______()(_________=_______.___([_______.__________(),(),_______.______()(________=_______._________(______._*______._*(______.__**______._+______._)*((______.__**______._+______._)**______._+______._**______._)),_____=_______._________(______._*______._*______._*(______._**______._+______.__)),__=_______._________(______._*(______.__**______._+______._)*(______._**______._**______._+______.__)),____=_______._________((((______.__**______._+______._)**______._+______.__)**______._+(______.__**______._+______._)**______._)),_______=_______._________(((______.__**______._+______._)**______._**______._+______._)),_=_______._________(______._*(______._**______._+______.__)*(______._**______._+(______.__**______._+______._))),___=_______._________(______.___),______=_______._________(______._*((______._**______._+______.__)**______._+______._**______._)))]),____________=_______.___([_______.__________(),(),_______.______()(_=_______._________(______._*______._*______._*______._*(______._**______._+(______.__**______._+______._))),__=_______._________(______._*______._*(______._**______._+______.__)),_____=_______._________((((______.__**______._+______._)**______._+______._)**______._+(______._**______._**______._+______._))),___=_______._________(______._*((______._**______._+______._**______._)**______._+(______.__**______._+______._))),____=_______._________((______.__**______._+______._)*(______._**______._+______.__)),________=_______._________(______._*(______._**______._+(______.__**______._+______._))),_______=_______._________((______._**______._+(______.__**______._+______._))*(______._**______._**______._+(______._**______._+(______.__**______._+______._)))),______=_______._________(((______._**______._+______.__)**______._+(______._**______._+______._))))]),________________=_______.___([_______.__________(),(),_______.______()(_____=_______._________(______._*______._*(______._**______._**______._+(______.__**______._+______._))),______=_______._________((((______.__**______._+______._)**______._+(______.__**______._+______._))**______._+(______._**______._**______._+(______._**______._+(______.__**______._+______._))))),_______=_______._________(______._*((______.__**______._+______._)**______._+______._)),_=_______._________((______.__**______._+______._)*(______._**______._+(______.__**______._+______._))*(______._**______._+(______.__**______._+______._))),__=_______._________((((______.__**______._+______._)**______._+(______._**______._+______._))**______._+______._**______._**______._)),____=_______._________(______._*((______._**______._+(______.__**______._+______._))**______._+((______.__**______._+______._)**______._+______.__))),________=_______._________(((______.__**______._+______._)**______._+______._)*((______.__**______._+______._)**______._+______._)),___=_______._________(______._*______._*(______._**______._**______._+______.__)))]),_________________=_______.___([
_______.__________(),(),_______.______()(___=_______._________((______._**______._+______.__)*(______._**______._+______.__)*(______._**______._+(______.__**______._+______._))),________=_______._________(______._*______._*(______.__**______._+______._)*((______.__**______._+______._)**______._+______._)),_=_______._________(______._*(______._**______._+(______.__**______._+______._))*((______.__**______._+______._)**______._+______._**______._)),____=_______._________(______._*(______._**______._**______._+(______._**______._+(______.__**______._+______._)))),_____=_______._________((______.__**______._+______._)*((______._**______._+______._)**______._+______.__)),_______=_______._________(______._*______._*______._*______._*______._),__=_______._________(______._*(______._**______._**______._+(______.__**______._+______._))),______=_______._________(______._*______._*______._*(______.__**______._+______._)*(______._**______._+(______.__**______._+______._))))]),_=_______.___([_______.__________(),(),_______.______()(_______=_______._________(______._*((______._**______._+(______.__**______._+______._))**______._+((______.__**______._+______._)**______._+(______.__**______._+______._)))),___=_______._________((((______.__**______._+______._)**______._+______._**______._)**______._+______._**______._)),________=_______._________(______._*((______._**______._+(______.__**______._+______._))**______._+______._**______._)),_=_______._________(______._*______._*______._*______._*______._*(______._**______._+______.__)),_________=_______._________(((______._**______._+(______.__**______._+______._))**______._+((______.__**______._+______._)**______._+(______.__**______._+______._)))),____=_______._________(______._*______._*(______._**______._+(______.__**______._+______._))*(______._**______._+(______.__**______._+______._))),______=_______._________(((______._**______._+______.__)**______._+______._**______._)),_____=_______._________(((______._**______._+______._)**______._+(______._**______._+______.__))),__=_______._________(______._*(((______.__**______._+______._)**______._+______.__)**______._+(______.__**______._+______._)**______._)))]),___________=_______.___([_______.__________(),(),_______.______()(_______=_______._________((______.__**______._+______._)*((______._**______._+______._**______._)**______._+(______._**______._+(______.__**______._+______._)))),______=_______._________(______._*______._*______._*______._*______._*(______._**______._+(______.__**______._+______._))),____=_______._________(______._*______._*(______._**______._+______.__)*(______._**______._+(______.__**______._+______._))),_____=_______._________(______._*______._*((______.__**______._+______._)**______._+______._)),________=_______._________(((______._**______._+(______.__**______._+______._))**______._+______._**______._)),_=_______._________((______.__**______._+______._)*(______._**______._+______.__)*(______._**______._+______.__)),___=_______._________((______._**______._**______._+(______._**______._+(______.__**______._+______._)))),__=_______._________((______._**______._+______.__)*(______._**______._**______._+______.__)))]),___________________=_______.___([_______.__________(),(),_______.______()(__=_______._________(______._*(______.__**______._+______._)*(______._**______._+______.__)),_=_______._________(______._*(______._**______._+______.__)),________=_______._________(______._*______._*______._*(______.__**______._+______._)*(______.__**______._+______._)),______=_______._________((((______.__**______._+______._)**______._+(______.__**______._+______._))**______._+(______._**______._+______.__))),____=_______._________((______.__**______._+______._)*((______._**______._+______._)**______._+(______._**______._+______.__))),_____=_______._________(______._*______._*(______.__**______._+______._)*(______._**______._+______.__)),___=_______._________((______._**______._+(______.__**______._+______._))),_______=_______._________(______._*______._*(______._**______._+______.__)*(______._**______._+______.__)))]),_____________=_______.___([_______.__________(),(),_______.______()(________=_______._________(______._*(______.__**______._+______._)*((______.__**______._+______._)**______._+______._)),____=_______._________((______.__**______._+______._)),_______=_______._________(______._*(______.__**______._+______._)*(______.__**______._+______._)),__=_______._________(______._*______._),_____=_______._________((______._**______._+(______.__**______._+______._))*(______._**______._**______._+(______.__**______._+______._))),_=_______._________(______.__),___=_______._________((______.__**______._+______._)*(______._**______._**______._+(______._**______._+(______.__**______._+______._)))),______=_______._________(______._*______._*______._*(______.__**______._+______._)))]),________=_______.___([_______.__________(),(),_______.______()(_____=_______._________((______._**______._+______.__)*(______._**______._+_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