;;;,,::....:,;;;;itjLGGGGGGGLLfi,,:,,;;;,;;ijjffjti;,,,,,:,,,,,,,,,;;;;itttiititjjfjtiii;;
;;;,,::...:,,;;;;itfLGGLGGGGGLLi,,:::::::,,itfLLLfjtii;;,,,,,,,,,,,;;itjfjjjjjjjfffjtii;;i
;;;,,::...:,;;;;;itjfLLLLGGGGLfi,,:::::::,;ijfGGGLfjtiiii;;;,,,,,,;;itjfLffLffffffffjt;;;i
,;;,,::..::,;;;iiitjjjjjfLGGGLfi,,::::,,,;itjfGGLLLfjjjtti;;,,,,,,;itjLLLLfLLLLLLLLGfjtiit
,,;,,:::.:,,;;iittttttiitfLGGLf;:::::,,;;iijfLGGGGLLffjjti;;,,,,,,itjfGGGLffLLLGGGGGLjjjjj
,,,,,:,:::,;iiitjjjii;;;tfLGGLf;::::,;iitttjfLLGGGLLffjjtti;,,,,,;itjfGGLffffLLGGGGGfjjfjj
,,,,,,,,,;;itttjjffti;;,tffGGLj;,,:,;itjjjjfLLGGGGLLffjtti;,,,,,;itjjfLLfffjfffLLGLfjtjjjj
,,,,,,,,;ittjjjffffftt;,ijLGGLf;;,;;itjffLfLLGGDGGLffjttii;,,,:,;itjjffffjfjjfffLffjtiitjt
,;;;;;;;itjjjfffLLLLfjt;tfLGGGfi;;;iijfLLLLLLGGGGLLfjjtii;,,,,,,;itjjfjjjtjjjjjfffjttittjt
;;;;;;iiijjjffLLLLLGGLftjfLGGGLii;iitjjfLLLGGGGGLLffjjti;;,,,,,,;iitjjttiitttjjjjjtttitjji
;;;;iiiitjjjfLLLLLGEEDGLfLLGGGGLfjffffffffLLffffffffjtt;,,,,::,:,;itttti;;iiiiiiitiiittjti
;;;;iiiitjfffLLLLLGEEEGLLLGGGDDGGGGDDDGGfffjjjjjffffjtii;,:,:::::,;;iiii;;;;;;;;;;iiittjt;
;;;;iiiitjjjffLffGDEEEDGGGGGGDEEEDEEKEEEjLtttitjjfffjtif,,,,:::::,,;iiiii,,,,::;itttiitti,
;;;;;;iiitjjjjjffGDEDDDDDGGGGDDEEEEKKKKjtLLiiitjjLLfjtift,,,,,,;iitttttii;,::.,itjjti;;i;:
;;;;;;;;iiitttjjfLGDDGDDDDGGGGDDDDDEEEKtjLLiittjjGLfttji;;;;itttjjjjjjjti;,,:,;itjji;,;;;:
;;;;;;;;;;iiiiitjfLLLGDDDGLLLLGGGLGGLGD;,tLftjfjiGfftit;;iittjffffffffjttiiitiiiiii;,:,;,:
;;;;,,,,,,;;;iiitjfffLGGGLLffffLLfjjtij;;,tjLfLiiDfjiiii,tjjjfffLLfffjjtitjffji;;,,,::;;i;
;;;,,,,,,,,;;;iiitjjfffLLfjjjjjjjjtttii;t:itffi;,ffjti;;itjffffffjjtttti;jfLLji,,::::,;ii;
;;;,,,,::,,,;;;;;ittjffffjjjtjttttttttitit;ifLi,,fLii;i;jfjjjjtttiiiii;;;tfLfti,,,:::;itii
;;;;,,::::,,;;;;;iittjfjjjjjttttiitttti;;ft,if,,,ffj;;,,fjjttii;;;;;;;;,,ijfft;,,,:,ijtt;i
;;;;,,:::::,,,;,;;itttjjjjjjtttiiitttt;i;fj:tf;,;jGj;;,:fffjtii;;;;,,,,,,;tfjt;,,,,;tjt;;;
;;;;,::...:,,;,,;;;iittjjjjjjtttitttttit;tLGiji;;,tj;;;ifLfjjtii;;;;,,,,,;ijjt;,,,;itt;,,;
;;;;,::..::,,,;;;;;;;iitttttjjjjttttttii,iffjfi;iijiiiijfLffjjttttii;;;,,,ijjt;,,,;;i;;:;;
;;;,::...:,,,;;;;;;,,;;iitttjjjjjjjjttiit;tttjjiiitii,;ijjffjjjtttiii;;,,,;tjji;,,;;;i;,;;
;;;,,::..:,,;;;;;;;;;;;iitttjjjfffffjjjtt;;tt;t,;;,it;;;itjjjttttttii;,,,,;tjji;;;;;iti;,;
;;;,,::::,,;;;;;;,;,;;;iiiiiittjjfffffjjj,;;j;;;;,itjjj,,;iiiiiiiii;;;,,,;;ijjtiii;;ijji,,
;;,,,,,::,,;;;;;;,,,;;iiiiii;iitttjjjffjtti;t;;:,,itjft,,,;;;;;;;;;;,,,;;;;itjjtti;;itti,,
;;,,,,,,,,,;;;;;;,,,;;;iiii;;;;;;iitjjttjt;ii;,,,,,itji,,,,,,;;;,;,,,,;;iii;itttti;;;tti,,
;;,,,,,,,,;;;;;;;,,,,;;itii;;,::::;;;iiit;L,i;;,,;;Gt,i,,,,,,,,,;,,,,;;iti;;;;iiii;;;i;,:,
;;,,,,,,,;;;;;;;;,,,,,;itti;;;,,,,;;;iifijii;i;;;ttL:,i,,,,,,,,;;,,,,;;iti;;,,;ii;;;;;,,:,
;;,,,,,,,,;,;;;;,,,,,,itttii;;,,;;;;;;ii,,iti;ftifLt:,;,,,,,,,,;;,,,,;;iii;;;,,;;;;;;;,:::
;,,j,,,,,,,,,,,,,,,,,,itjjtiii;ii;itii;i,;iiji;i;;i.:i,,,,,,,,;;;,,,;;;iiii;;ii;,,;;;;,:::
,,jf,,,,,,,,,,,,;,,,,;tjjjtitiitfDGLGfjLii,iif,;;j.:,,;,,,,,,;;;,,,,,;;;;;iitii;,,,;ii;,::
,jii,,,,,,,,,,,,;;;;;;jffftttfGDLLfGLfjt,i,iGDj,j;..;,,,,,,,;;;;,;;;;;;;;;ittti;,:,itti,,:
t;i;,,,;;;,,,,,;;;;;;ifLfjLLLffLLffjftti,:;;iff;L;ti,;,,,,,;,;;;;;iiii;;ititi;,::,;tjjti;,
i;,;;;;;;;;,,,;;;iititfLLLLLLLfjtijt,ti;:,:,ifLf:tt,,,i,,;,,,;;;iiiiii;tjtti;,:::,itjjti;,
;i,;;;;;;;;,,;;;itjfjjLLfftiiit;t;,;;,;;,:::;tjj,,,:.,;i,;,,;;iiiiiiiiijfji;,::::,itjtttt;
;,;,;;;ii;;,,,;ifLLLLLLfjjiLjfjj,ti;:;:,,:.::;iiK,.:.,;;,,,;;iiiiiiii;tjfi;;,..::,itjtttti
;;,,;i;iii;,,,;tLGDGfjLGLjtiitjjt,tii;;.,.:,,,itj:: :.;,,,;tLLLiii;;;ittt;;;:::::,ittiitjt
,,,,;;;iii;,,,ijGDEif;ffjfti;,tjti:ti:i:;::,,:ittj..:;;tjfttjfLff;;;ittti;,,,::::,;;;;;tjt
,,:,;;;;i;;,,,;jGD;,;ii;,;ii;i.tjjj;j;it,:::,,;;;it.:,,;titffij;ffLttjtti,,,,::,,,,,,,,tjj
:::,,;;;;;;,,,;tLijt,:ttii:,,:,:jii;,,,,,,,,,.:ijG,.;;,ifjj;jfiijtjGjtii;;,,,::,,,,::,;ijj
,::::,,;;;;,,,,jitii;,:ittti;,:itt,:,,:::;:,i,;tfi,,ii;itijLj;,jjffGLG:;,,,,:::,:::::,;itt
::::::,,,,,,,,iit:;,i;,,:;ittt;;t;::::....::t:;it;,;,.,ti:,:.:,:,iiifLGf::::::::::::,,;;ii
:...::,,,,;;;,,fj,;:,,;;i:;ttj;ii,:::.. ...it:,it;,,,i,::;,itttjjti;;tfLG,:,,,,,,,,,,,,;;;
::...::,,;;;;;ifijii;::,,,,:,i;;,,::..:.:,::i:,;tit::;tLLtfLLfffjjjjfffLLf,,;;;;;;;,,,,,;;
:.....:,ittttjjjtit;i;;:,;,;,,;,::..::...,,:,,.,;t;tjttjfjfftjttitttjtffLfjiiiiiiii,,::,,,
:.....:;itjfffffLfjj,,,,,ii:,;,,,,.::.:,jftj::ttiitti::iitjjtjtii,,,,,jtLjfiiiiitti;,::::,
::....:,itjfLLGGGfffftt;i;i:;,:::.:.:,i;tfiL.:jjLi;jfj;,::::,,it;jjjjffLLLfttiittjt;,::::,
::.....:;ijfLGGGGGffi,;i;;,:::::...,j:::jj;G.,tjjf;,;jjtjf;jiii;;;,,,,,:,,;Ljtitjjti,::::,
::.. ..:;tjLGGGGGftfi;;,,,,::.:;jLLft,:;;iD:;itfiti,:ijjtfjjtffjijttit,ti.tjtitjjt;,:::::
:.... ..,ijfGGGLLL;;;,,,,,,:,jGLLjijjfj,;tf:tt;t;t,jt,,iLjjfijjjtfGfLfjjjiGjtittti;:::::,
:... ..:;ijfLLLjtjjjtjfLLLLLLfffjjjjff:.i,.Di;i;;;,;ijt,,;tittijfjtjjjLtijjttttt;,:::::,
:... ..,itjffjttttjjjfLLLLffjjjtitttf:.i::L;iti;;;,,,jt,jti;;,iiiiii;jjjtttttti;:::::,,
.. ..:,;tjjttitttjjfLLLffjjttttjij;.:i::f;ii:,;;,;;;it;jjfffjifLGGGftjtttttti,:::::,,
. ..::,;iiiiittjjjjfLffjtttttij;j:..i:,Lit,,,,,;,,,,;ijitjGLGGfDGDjttjiiiiti;,::::,,
.. ..:::,;;;;ittjjjjfjjjjjjtttt;;j: t:,jj;,,,,,,,,,,;,,;;tjGGGDLitjtjtt;;iii;;,,:,,,
; .::,,;;;iijjjjjjjjLGE#Kfttjjjt,. L:t;i,,,,,,,,;,,,,,,,;tjti;iitttjji;,;iiii;,,,,,
Dft, ..:::,;iiijfjfDEDfjjfLt,i;jiifL;..;:t;;;i;,,,,,,,,,,,,:;ttti;,;;ittti,,;;;ii;,::,,
tjtjt. .:,,,;;iitjLEEDDGDGLjGj;:,.,;tjt .i,,i,,;,,;,;,,,,,,:::,iti;;:,,;iii;:,;;;;;;,,,,;
;ttjtt; :,,,,ii;tGDDjLGfj;Lfjii;;:.:,,;t,::,iE,:,::;;;;,,,,::::,;ii;,,::,;;;,:,;;i;;;,,,;;
tiitttjt;,;;ifjfLtj;,iLjf;:jjf;,i;,.,;ji::ij,t,:,,:;iitEEE;,,:,,;;;,,,,,,,,;,,,iii,,,,,,;;
iiiittijfiiitfitLffjj,ttjj,:jji:ti::,iiiif,t,f,,::iGGLLii,;LE;,,;i;;;;;,,,,,,,;ii;,::,;;;i
jfjitittjjiiij.,,ftjtt:tiL;:jii,tt:,:,;itjji:i:,:,tifi,ti:i;jLLGtiiii;;;;;;;;;;;;,:::,;;;i
ffit;;iiijttt;;.:ttj,:;::,t,;jji;t,,,:,,;;tt:;:::,;,itfii;;,;itjfjjfGL;;;;;;;;;;,:::,,;;ii
;iiifjtiitttt,i;.::ti;;:,::;:,;,,j.,,,::ijj,.,,,;,;;Lfi;:;jfjjiiittjjfGii;;ii;;;,:::,,,;;i
jjjii;;,ititj,,i;..,:ij;,,:::;ii;::,i,::jf;i.i:,;.,jji;.ttfjff,;titijjG;;iiiii;;,::::,,,;;
;;;;;tiiiijjj,,::,::.:,ti;,;,:iti;:;;;,,tti;::;ii;ij;:iLLLffi,jttttittji;;iiii;,,::::,,,;;
;tttiiiiitjff;;:,:i;:::;;t;;,,,;t;.,;i;:i;ii;;,i:ii:tLGLG;i:;iiLt;jt;iji;;;iii;,::.::,,,;;
titti;;;itfLf;::::;;,i;,:i;i;;;:;i.,;,i,;;iDi;;,ii:tfLji,,:,fitfifjiiiiiiiiiii;,::::,,,;;i
:::,,,,;;tLLGG,,:.:i,tjLii;:iti,,,t:,:;t,;iDt;:ii,ij,,:,;,jjLGLL;;,itiiiiiiii;,::::,,,,,,;
..:::,,,ijLGGLt,:,:,:,,ttit;,:;i;,;;.:tj;;iiiiiii:,.:;;tfLDjjtj;,,ttijiiiiiti;,:::::::,,,,
...:::,;jfGGGLL;,,,.::.,,;tji,.:ij,::.,t;;D;i:ji:,iiifLGLifi,,,iftiji;iiiittti,:::::::,,,,
...::;jfLGGLGGDf,,,,,,:::,tit;;;;;,:,.j;it:;t:tjitLLfj;;,tij,LLjLjtiiiiiittti;;;;,,,,,,;;
..:;tLGDGGLLGDDGii,;,,,,,:;;;;;,:,,::L,i,;i;i;,ji;tfLjLDifLjjGfj;iiiittttttiiiii;;,,,;;;
.;tfDEEDGLLGDGLf;,,;,,::,;;,;;,::::,,,t:;iijfDDLGDGjLGLfGLtGj;jjtiittitittttttiii;;,,;;
..ijGEEKEDGGGGLfjtj:,,,,;,,,,,:.::i,;;:ijitDtjjjj;iiitttttitjjjtjttttttittttittttii;,,,,
.:;jLEEEEDGGGLfjtttj::::::,,,:::;tii;t.L;tjGiii;tGLGtjtLGjtjfjjjjjjjjjjtttititttiii;,,,,
.,tfDDDDDGLLfjtttttji:.:,.::.:i;itiii,GijfGiiiiiti;tti;;iitfffjjjffLLfjtitiittiii;,,,,,
:;ijffLLLffjttiiitttttttitt;it;ii;ji;Gjjf;;;iiiiiii;;;iiitjjjjjjjfGGGLLftiiiii;;,,,,;;
:,;iitjjjjjttiiiiiittjtjjjjtt,;tiLiijLjf,;;iitttiii;iiiitttjfjjtjLGGGLftiiiii;;;;;;;;
.,;;ittitttttiiii;iiittjtjLGi,ii;EiifLjL,;;;iitttiiiiiiitjtjfjjtijffLfjjtii;;;;;;;;;;
.,,;iiiitttiiiii;;;iitjjLDLGtiiiEiftjjL;;;;iiititiiitttttjjjfjjttttjjttii;;;;;;;;i;;
..:,;;;iitttiiii;;;;;iijfLGGfLtiiD;GjGLi;,,;iiiiiiiiiitttttjjjffjttttttii;;;;;;;;;;;;
.:,,;i;ittttiiiii;;;;iijjfEEKLDW;L,DGff;;;;;;;;iiiiiiiiitttjjjfffjttjttii;;;;;;;;;;;;
,;;;ijjjtttiittjtiiiiiiiiiiitjfLDDjLLEj,GG;ittii;;;;;;;iiiiiiiiitjjffLfjjjjti;;;;;;;;;;;;;
tjjjjjjfjttiitjjtiiiiiiiiiiiitfLLGjGfEj;D;tEGttti;;;;;;;;;;;;;iittjjffffjjjtii;;;;;;;;,,;;
ffjjjjjfjttiitttttititiiiitiitjLL;GfjEt;jtjWjEjtti;;;;;;;,;;;;;;ittjfLLLLfjjtii;;;i;;;;,,;
jjttttjjjjt;itjtittiiitttttttttjf;ftLDitjDKDLKfjtiii;;;;,,,,,;;;;iitjfLGGLfjjti;;;;;;,,;;;
ttttittjjjt;itttiiiiitttjjjtjjjf;;tfiL;fDLDjEfjftiiii;;;;,,,,;;;i;iitjLDDGfjjtii;;;;;;;;;i
jiittjjjjfi;itttiiiiiffjjfjjjjfG,;ijtt;ttitDjijLjttii;;;;;,,,;;iiiiiitLDDGfjjtjttttii;;iii
ttjfjjjjtt;iittiii;KKjtLDffffjjjt,ijf;tjLtttLLtjjtiii;;;;;;,,;;itttiitLGGGfjjjfLLLLftiiiii
jjjjjti;;,;itttiiijittiitDffjjjjj;;;t;GtLtfjttjtttii;;;;;;;;;,;ittiiitfLGfjfjjfLGGGLftiiii
tttti;;:,:;itttiiifitf;;tGffjjjjti;;iititjjiLjtttiti;;tfji;;;,,;iiiiitffLjjjjjjLGGDLftiiii
;;;;,,,,,,;ittiiit;;itfiijLfjttttit,,;;;:iii;;iGGDK#ELtiii;;;;;,,;;;itjffttttiitfLLLjtiii;
;;;;;;;;;;iiiti;;i;;iijttjLjjttiiiit;;,:i;,;,,jfffjiii;;j;;;;;,;;;;;itjfjtiittiitjjjtiiii;
iii;;;;;;iiiiti;i;;;,jiftfEEttttii;tGi;:;i,tiiLfjttjti;tf;;;;;;iiii;itffjtttttitittti;;i;,
iii;;;i;iiittii;i;,,,t##ELGDGtiii;ijL;j,;ijtiGLLttii;;itt,,;;;ijfjtitjfffjjjjjjtttiiii;i;;
tiii;ttiiitttii;;;,,,,K##EfDGDi;iitLjiEDLt:LfLDLjti;iiif;,,,;;tjLfjtjfLLffffffjjjttiiiii;;
tiiiiitiitttiii;;,,,:###W#DjDLDiiGjGj;KDLLLLGitttittiitt:,,,,;tfLLfffLLLffLLfffffjttiiiiii
iittt;iiitttt;;;;;,:,WEDLLDftGLDLLfEfjKDGLDLELftfLtitjf,,,;ii;tjLLLLLLLffLLLLfLffjttiiiiii
ittti;iiittti;iiii;,tWEDDjffjtLDLLfDjjKDLEDfjGfft;jjffE::;ittitjfLLGGGfffLLLLffffftttiii;;
tttiiiitittti;ittti;DDDDLfLjjjjDGffEjLDGLDEDfGLtijifLLK,,;tjjjjjffLGGGffffLffffjtttiii;;,,
ttiitiitttiiiitjffjLLEELLffLLjtLLttLtGEDEDGKKKGffjGGDW;;;tfLLffffffLLLffffjjjjjtii;;;,,,:.
tttttiitiitiiijfLLLLjjftjiLEGLLfftiLfDLWEWKEKKKWKKKKEt;iitfLLLLLfffLffjjffttjjtii;,,,::...
tttttitttttiitjfKjjjffLLjjjjDELtjifELDKKEKKKEKKKEDDDf;;;ijfffLLLLffLffjjfjtttjti;;,,:::::.
tiittttttttitfKEjtjfjtjjfjGGLGfLfifDfKGLfffjtttftti;;;;iitjffLffffffffjjjtttttti;,,:::::..
tittjtjtttfDWKDDGfjfLffjffjfttjttttGfLGt;,;;;;;;;;;;;iiiitjjfLfjjjfffjjjjtiiiii;,,:::::::.
itttjtjjttGEDEKKKDfEDjDEjtttjjjjfGfjLDD;,,,,,,,,,,;;iiittjjjfffjttjjjjjjti;;;;;,:::::,,,,:
ittttjjjjjjjGWW#KWWWEGfttttfjttttGLjfDG;,,,,,,,,,;;;iiijffffffjjtiiittjtt;,:::.....::,;;;,
ttttjjjtjjjjjfjjLDGGLLtjjfjttttttfGfjDi,:,,,,,,,,;;;;;iffLLLffjjiiiiittti;:. ...,;ii;
itttttttjjjjffjffffjfjjjjttittttifLjjKj;,,,,,,,,,,;;;iijfLLLLLjjtitiiiti;,. ....:,ii;
ittjtttttttjjjfffjfjjjjjttiitttttffjfDt;;;,,,,,,,,;;;iitjjfLLfjttttttii;,. ......,,;;
itfffjjttttttjfffjfjjjjtitiitttttGLfLEf;;;;;LGj,,,,,;;iittjjjjttttttjt;,. ......:,,,
itffjjtttttittjffjjjjKWDDiiiiitttDfjfEj;;;;LttGt,,,,;;iiiiiiiiitttjjjt;:. .......:,,
itttttttttiiitjjffjtftjjtDiiiitEKEjffWji;;f;;t;t,,,,;;;;;;;;;;ittttfjji:. ......:::
iti;iitttiiitttjjjjtfttjtjG;;itKDDLfLEjiiti;t;iGGGD,;;;;;;;;;;iiiitfjji:.. .....:::
ti;;iiiiiiiitttttjttttii,jD;;;;EDKffLGt;;j;;iifi;iLW,,,,;,,,;;iiiitjjt;:.. ....::
ti;;;iiiittittttjttttt;jEjLi,,;GGKffGDiiitiEiLi;;f;,j,,,,,,,;iiii;iti;,..... ...:
ti;;;i;iitttttttjttttt;;WjGL,,;fLELfGLiiDjtKEji;tii;i,,:,,,,;iiii;;;;,:... .::
ii;;ii;iitttttttttttiiiD#fLEj:ijLKLfDGiLGfLWEji;ftttii,,,:,;itiii;;,,,:... .::
i;iiiiiittjjjjjtttttiK###DjGLt;jGKLLDifLLLD#KfiKEjjjtii;,,;ittti;;;,,:...... ..:,
;;iiiiitjjjfjjjjjjjtE#KEKELfLLiLGDLLGLEWWEDEDff##WLfjtti;;tjjtii;;;;;,....... . ...:,
iiitiiitjjLfjffjtjjtKEELfLGjLfLLDDLLGEGKKEDDfGW#KKDLjfjtttjjjti;;ii;;,:.................,,
itttiittjfLLLffjjjjjjfttfLfjjjLWDLjLDLLELEGffEW##WKLjfffffffjtiiiiii;,:................::,
itttiiitjfLLLffjjjjjjjtitjLjjLDELLfLKLtDEEffGDEWW#WEjfffffffjtiiiiii;,:.................:,
iii;;;itjfLLLLfjjjjjffjttiijjfEDLjfLLtfGGGKLfffDE###jjffLLfjjtttiii;;,::................::
ii;;;;,ijfLLLffjjjjfffjtti;;tGffffLftjfLGGGijjjfLW###tjfffjjttttii;;,,:::........... ...
i;;;;;;itjffffjjtjjfffjtiiiiitjit;Litjjjffftiiitjffjjtjjffjjttjjiii;,,::::........... ..
,,,;;;;iitjjjjjtttjfffjji;;ifiti;ij;tjjttjtiit;;ttjjttijjjjtttjtjii;;,,,::::......... .
,,,;iiiiiiiiitiiitjjfjjti;;;tjLGjtjttit;;;iiiii;;iiiiiitttttttttttttii;,:::::::.....
,,,;ittttttittiiittjjjti;;;;itjfLtjjf;ti;ittttti;;;;;iiitttittttttttti;,,,,,,,,,::::..