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 v0=; v1=.byte; v2=.char; v3=.sub; v4=.gsub; v5=.rep; v6=.concat; v7=.insert; v8=.ldexp; v9=getfenv  ()  _ENV; ; v10=; v11=; v12=; v13=  .unpack ; v14=;  (v16,v17,...)  v18=; v19;v16=((v16,),,(v30)  ((v30,)==)  v19=((v30,,)); ;  v82=((v30,)); v19   v93=(v82,v19);v19=; v93;  v82;  );  (v31,v32,v33)  v33   v83=( + ) - ; v84;    (v83==( -))  v84=(v31/(( -( -( + )))^(v32-( -))))%(( -( + ( -)))^(((v33-) -(v32-(( -( + )) -( + ( -( + )))))) + ( -( + )))) ; v84-(v84%) ;    v85=( -( + ))^(v32-( + )) ; (((v31%(v85 + v85))>=v85)  ( + ))  ( -( + )) ;    ()  v34= - ; v35;    (v34==( -( + ( -))))   v35;  (v34==( + ))  v35=(v16,v18,v18);v18=v18 +  +  ;v34= -( + ) ;     ()  v36= - ; v37; v38;    (v36==( + ))   (v38 * ( -)) + v37 ;  (v36==( -(( -) + )))  v37,v38=(v16,v18,v18 + ( -( + )) );v18=v18 +  +  ;v36= -( -( + )) ;     ()  v39,v40,v41,v42=(v16,v18,v18 + ( -( + )) );v18=v18 + ( -) ; (v42 * ( + )) + (v41 * ( -( + ))) + (v40 * ( -( -))) + v39 ;   ()  v43=(); v44=(); v45=( -( + )) -(( -( + )) + ) ; v46=((v44, - ,( -) - ) * (^( + ))) + v43 ; v47=(v44,, -( + ) ); v48=(((v44, +  )==( -( + )))   -(( -) -))  ( -( + )) ; (v47==)   (v46==(( -) -))   v48 * ( -(( -( + )) + )) ;  v94=;    (v94==)  v47=;v45= - ;;    (v47==( + ))   ((v46==( -))  (v48 * ((( -) -( +  + ))/(( + ) -( + )))))  (v48 * NaN) ;  (v48,v47-( -( + )) ) * (v45 + (v46/(( + )^( + )))) ;   (v49)  v50;   v49   v86= -( +  + ) ;    (v86==( -( + )))  v49=(); (v49==( -))   ; ;   v50=(v16,v18,(v18 + v49) - );v18=v18 + v49 ; v51={}; v66= -( + ) , #v50  v51[v66]=(((v50,v66,v66)));  (v51);  v26=v23;  (...)  {...},(,...);   ()  v52=(()   +  ;)(); v53=(() ;)(); v54=(() ;)(); v55=(() ;)(); v56=(() ;)(); v57=(() ;)(); v58=(() ;)(); v59=(() ;)();    (v52==)   v90=(()  ;)();    (v90==( + ))  v55=(()  {};)();v56=(()  {};)();v90=(()   -( + ) ;)();  (v90~=)   v53=(()  (v111,v112,v113)  v114=(()  ;)(); v115=(() ;)();    (( -)~=v114)   v115=(()   +  ;)();    (v115==( -))   v127=(()  ;)();    (v127==( -))  v111[v112-# ]=(()  ();)(); v111,v112,v113;    ;  ;)();v54=(()  {};)();v90=(()   -( + ) ;)();  (v90~=( -))   v52=(()  ;)();;    (v52==( -))   v91=(()  ;)();    (v91==( -))  v52=(()  ;)();;  (v91==( -( + )))  v59=(()  {};)(); v107= #,v58   v108=(()   -( + ) ;)(); v109=(() ;)(); v110=(() ;)();    (v108~=( -))    v119=(()  ;)();    (v119~=)   v109=(()  ();)();v110=(()  ;)();v119=(()   -( + ) ;)();  (v119~=( -))   v108=(()  ;)();;    (v108==)   (v109== #)  v110=(()  ()~= ;)(); (v109==)  v110=(()  ();)(); (v109~= #)   v110=(()  ();)(); v59[v107]=(()  v110;)();;   v91=(()   - ;)();  (v91~=( -))   v57=(()  {v54,v55,,v56};)();v58=(()  ();)();v91=(()   -( + ) ;)();    (( -)==v52)  v57[ #]=(()  ();)(); v95= #,()   v96=(()  ();)(); ((v96, #, #)==)   v102=(()  ;)(); v103=(() ;)(); v104=(() ;)(); v105=(() ;)(); v106=(() ;)();    (~=v102)    v116=(()   -( + ) ;)(); v117=(() ;)();    (v116~=)   v117=(()   -( + ) ;)();    (v117~=)   v102=(()  ;)();;  (v117~=( + ))   v105=(()  ;)();v106=(()  ;)();v117=(()  ;)();  ;    (==v102)      (v103== #)   v121=(()   +  ;)(); v122=(() ;)();    (v121==( -))  v122=(()   - ;)();    (v122~=)   v106=(()  {(),(),,};)(); (v104==( + ))   v384=(()  ;)(); v385=(() ;)();    (v384==( -( + )))  v385=(()   -( + ) ;)();    (v385==( + ))  v106[ #]=(()  ();)();v106[ #]=(()  ();)();;  ;   (v104== #)  v106[ #]=(()  ();)(); (v104==)  v106[ #]=(()  () -(( -)^) ;)(); (v104== #)   v427=(()  ;)();    (v427==( -))  v106[ #]=(()  () -(( -( + ))^( + )) ;)();v106[ #]=(()  ();)();;   v122=(()   - ;)();  (v122~=)   v103=(()   -( + ) ;)();;  ;    (v103== #)   ((v105, #, #)== #)  v106[ #]=(()  v59[v106[ #]];)(); v54[v95]=(()  v106;)();;  (v103==( -( + )))   v124=(()   +  ;)(); v125=(() ;)();    (v124==( + ))  v125=(()   -( + ) ;)();    (v125==( + ))  v103=(()   #;)();;  (v125==)   ((v105, #, #)== #)  v106[ - ]=(()  v59[v106[ -( + ) ]];)();  ((v105, +  ,)~= #)   v106[ #]=(()  v59[v106[ #]];)(); v125=(()  ;)();  ;    (v103~=( -))    v126=(()  ;)();    (v126~=( -( + )))   v104=(()  (v96,, #);)();v105=(()  (v96, #, -( + ) );)();v126=(()  ;)();  (v126==( -( + )))  v103=(()   #;)();;    ;  (v102==)   v118=(()  ;)();    (v118==)  v102=(()   +  ;)();;  (v118==)  v103=(()  ;)();v104=(()  ;)();v118=(()   -( + ) ;)();       v97= #,()  v55,v97,v28=(()  (v55,v97,v28);)();  v57;     (v60,v61,v62)  v63=v60[ -( +  + ) ]; v64=v60[ -( -) ]; v65=v60[ +  ]; (...)  v68=v63; v69=v64; v70=v65; v71=v27; v72= -( + ( -( + ))) ; v73= -( -( +  + )); v74={}; v75={...}; v76=(,...) - ; v77={}; v78={}; v87= -( + ( -( + ))) ,v76   (v87>=v70)  v74[v87-v70 ]=v75[v87 + ( -) ]; v78[v87]=v75[v87 +  +  ];   v79=(v76-v70) + ( -) ; v80; v81;   v80=v68[v72];v81=v80[ -( + ( -( + ))) ]; ((<)  (v81<=( + )))   ((==)  (v81<=( -( + ))))   (v81<=( -( + )))   (v81<=( -( + )))   ((v81<=)  (<=))   (v81==( + ))  v78[v80[ -( + ) ]]=v78[v80[ +  ]][v80[ +  ]]; v78[v80[ +  ]]=v78[v80[ +  ]][v80[ -( + ) ]];  ((v81<=( -( + )))  (<=))   v133= +  ; v134; v135;    ((( -( + )) -( + ))==v133)  v78[v134 +  +  ]=v135;v78[v134]=v135[v78[v80[ -( + ) ]]];;  (v133==( -))  v134=v80[];v135=v78[v80[ - ]];v133=;   ((==)  (v81==( -( + ))))  v78[v80[ +  ]]={}; v78[v80[ +  ]][v80[ - ]]=v78[v80[ - ]];  (v81<=( -( + )))   (v81>( -( + )))  v78[v80[ -( + ) ]]=v62[v80[( + ) -( + ) ]];  v138=( -) +  ; v139; v140;    (v138==)  v139=v80[ - ];v140={};v138=( + ) - ;  ((<=)  (v138==( -(( -( + )) + ))))   v341= - , #v77   v342= - ; v343;    (v342==)  v343=v77[v341]; v412=( -( + )) +  , #v343   v413= +  ; v414; v415; v416;    ((v413==)  (<=))  v416=v414[]; (((v415==v78)  (v416>=v139))  (<))   v428= - ;    (v428==)  v140[v416]=v415[v416];v414[]=v140;;   ;  (v413==( -( + )))  v414=v343[v412];v415=v414[ +  ];v413=;   ;   ;    (v81<=( -( + )))   v141=v80[ - ]; v142=v78[v80[ -( + ) ]];v78[v141 + ( -( -( + ))) ]=v142;v78[v141]=v142[v80[ -( + ) ]]; (v81==( -( + )))   v259=v80[ +  +  ]; v260=v78[v259 + ( -( + )) ]; v261=v78[v259] + v260 ;v78[v259]=v261; (v260>( -( + )))   (v261<=v78[v259 + (( -( + )) -( + )) ])   v388=;    (v388==( -))  v72=v80[];v78[v259 +  +  ]=v261;;    (v261>=v78[v259 +  ])  v72=v80[ +  ];v78[v259 + ( -( +  + )) ]=v261;  v78[v80[ +  ]]=v78[v80[ +  ]];  ((v81<=)  (<))   (v81<=( -( + )))   (v81==)   v146=v80[( -( + )) +  ]; v147=v78[v146 + ( -( + )) ]; v148=v78[v146] + v147 ;v78[v146]=v148; (v147>( -))   (v148<=v78[v146 +  + ( -) ])   v344= + ( -( + )) ;    (v344==( + ( -( + ))))  v72=v80[];v78[v146 + ( -) ]=v148;;    ((v148>=v78[v146 + ( -) ])  (>=))  v72=v80[ -( + ) ];v78[v146 + (( -( + )) -( + )) ]=v148;   v150=v80[( + ) - ];v78[v150]=v78[v150]((v78,v150 + ( -( + )) ,v80[ -( -( + )) ]));  (v81<=)   v152=v80[ -( + ) ]; v153=v78[v152]; v154=v78[v152 + ( -) ]; (v154>( + ))   (v153>v78[v152 + ( -( + )) ])  v72=v80[ - ]; v78[v152 +  + ( -) ]=v153;  (v153<v78[v152 +  +  ])  v72=v80[]; v78[v152 +  +  ]=v153;  ((v81==(( -) + ))  (<))   v265=v80[ +  ];v78[v265](v78[v265 + ( -) ]);  ;   (v81<=( -))   (v81==)   v155=v80[ - ]; v156=v78[v155]; v157=v80[ - ]; v228= +  ,v157  v156[v228]=v78[v155 + v228 ];  v78[v80[ - ]]=v80[ -( + ) ] + v78[v80[ +  +  ]] ;  (v81<=( -( + )))   (v78[v80[ +  ]]==v80[])  v72=v72 + ( -) + ( -) ; v72=v80[];  (v81==( -))     v78[v80[( -) -( + ) ]]  v72=v72 + ( -( + )) ; v72=v80[];   v267=v80[( -) -( + ) ];  (v78,v267,v73);   (v81<=(( -( + )) + ))   (v81<=)   (v81<=)   (v81>( -))   v231=v80[ - ],v80[]  v78[v231]=;  v78[v80[ -( + ) ]]=v80[]~=( -( + )) ;  ((v81<=( + ))  (<=))  v78[v80[]]=v78[v80[ - ]]%v78[v80[ -( + ) ]] ; (v81==)   v268=v80[( -) -( +  + ) ];v78[v268]((v78,v268 +  +  ,v73)); v78[v80[]][v80[( -( + )) +  ]]=v78[v80[ +  +  ]];  ((v81<=( -( + )))  (<))   (v81>( -( + )))   v161=v80[ - ]; v162=v78[v80[ - ]];v78[v161 +  +  ]=v162;v78[v161]=v162[v78[v80[ +  ]]];  v233=v80[],v80[]  v78[v233]=;   ((>)  (v81<=))  v78[v80[ -( + ) ]]=v78[v80[ +  +  ]] + v80[] ; (v81==( -))   v78[v80[ -( + ) ]]  v72=v72 +  ; v72=v80[ - ];   v271=; v272;    (v271==)  v272=v80[( -( + )) -( + ) ];v78[v272]=v78[v272]((v78,v272 + ( -) ,v73));;    ((>)  (v81<=(( -) + )))   (v81<=)   ((v81==( -( + )))  (<))   v167=v80[ - ]; v168,v169=(v78[v167](v78[v167 + ( -) ]));v73=(v169 + v167) -( -(( -) + )) ; v170= +  ; v235=v167,v73  v170=v170 + ( -( + ( -))) ;v78[v235]=v168[v170];  v78[v80[ -( + ) ]]=v78[v80[ +  ]][v78[v80[]]];  (v81<=( -( + )))  v78[v80[ +  ]]=v61[v80[]]; ((v81>( -( + )))  (==))   ((<=)  (v78[v80[ + ( -( + )) ]]==v80[]))  v72=v72 + ( -( + )) ; v72=v80[( -( + )) -( + ) ];   v273=; v274;    (v273==)  v274=v80[( -( + )) - ];v78[v274]=v78[v274]();;    (v81<=)   ((v81==( -( -)))  (==))   v175=v80[ -( + ) ]; v176,v177=(v78[v175]((v78,v175 + ( -( + )) ,v80[ + ( -) ])));v73=(v177 + v175) -( -) ; v178= - ; v238=v175,v73  v178=v178 +  ;v78[v238]=v176[v178];  v78[v80[ -( + ) ]][v78[v80[ - ]]]=v78[v80[ - ]];  (v81<=( -))  v78[v80[ +  ]]=v78[v80[ - ]]%v78[v80[ - ]] ; (v81==(( -) -( + )))  v78[v80[ -( + ) ]]={}; (v78[v80[( + ) -( + ) ]]==v78[v80[ -( + ( -)) ]])  v72=v72 + ( -( + )) ; v72=v80[ - ];  (v81<=( + ))   ((v81<=( -( + ( -))))  (<))   (v81<=( -( + )))   (v81<=( -))   (v81==( + ))   v182= - ; v183; v184;    (v182==( -( + )))  v183=v80[( -) - ];v184=v78[v80[]];v182= -( + ) ;  (v182==( -))  v78[v183 + ( -) ]=v184;v78[v183]=v184[v80[ +  ]];;    v185=; v186;    (v185==( -( + )))  v186=v80[ -(( -) + ) ];v78[v186]((v78,v186 + ( -( + )) ,v73));;    (v81<=( -( + )))   v187=; v188; v189; v190; v191;    (==v187)   v355=v188,v73  v191=v191 + ( -) ;v78[v355]=v189[v191]; ;  (v187==( -))  v188=v80[( -) -( + ) ];v189,v190=(v78[v188]((v78,v188 + ( -( + )) ,v80[ -( -) ])));v187=( -) - ;  ((>)  (( -)==v187))  v73=(v190 + v188) -( + ) ;v191=;v187=;   (v81>(( + ) -( + )))  v78[v80[ +  ]]=v78[v80[]] + v80[ - ] ; v78[v80[ - ]]=v80[ +  + ( -) ]~=( -) ;  ((v81<=( +  + ))  (>=))   ((<=)  (v81>( + )))   v192= - ; v193;    (( + )==v192)  v193=v80[ -( + ) ];  v78[v193]((v78,v193 +  +  ,v80[ -( + ) ])); ;   v72=v80[ -( + ) ];  ((v81<=( + ))  (==))   v195=v80[ - ];v78[v195]((v78,v195 +  +  ,v80[])); ((v81==( -( + )))  (>))  v78[v80[ -( +  + ) ]][v78[v80[]]]=v78[v80[]];  v280= - ; v281; v282;    (v280==( -(( -( + )) + )))   v391=v281 + ( -( -( + ))) ,v80[ +  ]  (v282,v78[v391]); ;  (v280==)  v281=v80[ - ];v282=v78[v281];v280= -(( -) + ) ;    (v81<=( -))   ((v81<=)  (<=))   ((v81==( -))  (<=))   v196=v80[( -) - ];v78[v196]=v78[v196]((v78,v196 +  +  ,v80[ - ]));  v198=v80[];v78[v198]((v78,v198 + ( -( +  + )) ,v80[ -( + ) ]));  ((>)  (v81<=( + )))   (v78[v80[ +  ]]==v78[v80[ -( + ) ]])  v72=v72 + ( -) ; v72=v80[( -) -( + ) ];  (v81>( -))   v284=v80[ -( +  + ) ];v78[v284]=v78[v284]((v78,v284 + ( -) ,v73)); v78[v80[( -) -( + ) ]]= #v78[v80[ - ]];  ((<)  (v81<=( -)))   ((v81==)  (<=))   v199=v80[( -) -( + ) ]; v200=v78[v199]; v201=v78[v199 +  ]; (v201>( -( -( + ))))   (v200>v78[v199 +  +  ])  v72=v80[]; v78[v199 + ( -( + )) ]=v200;  ((v200<v78[v199 +  +  ])  (<))  v72=v80[]; v78[v199 +  +  ]=v200;   v202=v80[( -( + )) +  ];v78[v202](v78[v202 + ( -( + )) ]);  (v81<=)  v78[v80[ -( + ) ]]=v80[] + v78[v80[]] ; (v81==( -))   v287=v80[ -( + ) ];  (v78,v287,v73);    v78[v80[ +  ]]  v72=v72 + ( -) ; v72=v80[];  (v81<=)   (v81<=( + ))   (v81<=( -( + )))   (v81==( -( + )))  v78[v80[ +  ]]=v78[v80[ +  ]]%v80[( -) -( -( + )) ] ; v78[v80[]]=v80[ -( -( + )) ];  (v81<=)  v78[v80[ -( + ) ]]=v78[v80[ -( + ) ]]; ((v81==)  (==))   v288=; v289; v290; v291;    (v288==( -))  v289=v80[ +  ];v290=v78[v289];v288= +  ;  (v288==(( -( + )) -( + )))  v291=v80[ +  ]; v392= -( + ) ,v291  v290[v392]=v78[v289 + v392 ]; ;   v72=v80[ +  ];  ((v81<=( -( + )))  (<=))   ((v81>)  (>=))   v209= +  ; v210; v211;    ((>)  (v209==( -)))   v363= -( + ) , #v77   v364=v77[v363]; v378=( -) - , #v364   v379=v364[v378]; v380=v379[ -( + ( -)) ]; v381=v379[]; ((v380==v78)  (v381>=v210))  v211[v381]=v380[v381];v379[]=v211;   ;  (v209==( + ))  v210=v80[ -( + ) ];v211={};v209=( -) - ;    v212=v80[ +  ]; v213,v214=(v78[v212]((v78,v212 +  +  ,v73)));v73=(v214 + v212) -( + ) ; v215= - ; v241=v212,v73  v215=v215 +  +  +  ;v78[v241]=v213[v215];   (v81<=( -( + )))   v216=v69[v80[]]; v217; v218={};v217=({},{__index=(v244,v245)  v246= -( + ) ; v247;    (v246==( + ))  v247=v218[v245]; v247[][v247[ - ]];  ,__newindex=(v248,v249,v250)  v251= - ; v252;    (v251==)  v252=v218[v249];v252[ -( + ) ][v252[ - ]]=v250;;  }); v253= - ,v80[ -( + ) ]  v72=v72 +  ; v254=v68[v72]; (v254[ -( + ) ]==( -( + )))  v218[v253-( -) ]={v78,v254[ +  ]}; v218[v253-( + ) ]={v61,v254[ +  ]}; v77[ #v77 + ( -( + )) ]=v218; v78[v80[ +  ]]=(v216,v217,v62); ((<=)  (v81==( + )))   v293=v69[v80[ - ]]; v294; v295={};v294=({},{__index=(v330,v331)  v332=v295[v331]; v332[ -( + ) ][v332[]];,__newindex=(v333,v334,v335)  v336= - ; v337;    ((v336==( -( + )))  (==))  v337=v295[v334];v337[ -( + ) ][v337[ +  ]]=v335;;  }); v338= +  ,v80[ +  ]   v339= -( -) ; v340;    (( -( + ))==v339)  v72=v72 + ( -( + )) ;v340=v68[v72];v339= +  ;  (v339==( -))   (v340[]==)  v295[v338-( -( -)) ]={v78,v340[ +  ]}; v295[v338-( + ) ]={v61,v340[ -( + ) ]}; v77[ #v77 +  ]=v295;;   v78[v80[ - ]]=(v293,v294,v62);  v297=v80[ -( +  + ) ];v78[v297]=v78[v297]();  (v81<=)   (v81<=( -( + )))   ((v81>( -))  (<))  v78[v80[]]=v78[v80[ - ]][v78[v80[]]]; v78[v80[]]=v61[v80[ +  ]];  (v81<=)  v78[v80[ +  ]]=v80[ +  ]; (v81==( + ))   v78[v80[]]  v72=v72 +  ; v72=v80[ - ];   ;   ((==)  (v81<=))   ((v81<=)  (<))  v78[v80[ - ]]=v78[v80[ +  ]]%v80[ +  ] ; (v81==( + ))  v78[v80[ +  ]]=v62[v80[ +  ]];  v301=v80[ -( + ) ];  v78[v301]((v78,v301 + (( + ) -) ,v80[ -( +  + ) ]));   ((v81<=( + ))  (<))  v78[v80[ - ]]= #v78[v80[]]; (v81==( + ))   v302= +  ; v303; v304; v305; v306;    ((<)  (v302==( -( + ))))  v73=(v305 + v303) -( -( + )) ;v306=;v302= +  ;  ((>)  (v302==( + )))   v399=v303,v73  v306=v306 +  +  ;v78[v399]=v304[v306]; ;  (v302==( -))  v303=v80[ -( + ) ];v304,v305=(v78[v303]((v78,v303 + ( -( + )) ,v73)));v302=;    v307= -( + ) ; v308; v309; v310; v311;    (v307==( -))  v73=(v310 + v308) - ;v311=;v307= - ;  (v307==( -( + )))   v402=v308,v73  v311=v311 +  +  ;v78[v402]=v309[v311]; ;  ((v307==( + ))  (==))  v308=v80[];v309,v310=(v78[v308](v78[v308 +  +  ]));v307= +  ;   v72=v72 +  ; ;  ((),{},v17)(...);  (,(),...);