::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::'''``` ...    `:::::::::::::::::::::
:::::::::::::::::::::::::::::::::''' .,;;!!!!!!!!!!   ::::::::::::::::::::
::::::::::::::::::::'``````````   ;!!''`!!!!!!!!'`,;>  :::::::::::::::::::
::::::::::::::::::'  ,;!!!!!!!!;;;;;;;;!!!''''  -'``.> `::::::::::::::::::
::::::::::::::'``  ;!!!!!!!!!!!!!!!!!!!!',;;' ,;;!!!!' `::::::::::::::::::
:::::::::''`.,;<  !!!!!!!!!!!!!!!!!!!!! `<!! `!!!!!! ,d- ````:::::::::::::
:::::::'  ;<!!!! `!!!!!!!!!!!!!!!!!!!!!!;,``<; `!'`,c$" <!!;; `:::::::::::
::::::  ';!!!!!> `!!!!!!!!!!!!!!!!!!!!!!!!!;,''  ,dP" ;!!!!!!> `::::::::::
::::::.  ;!!!!!- `!!!!!!!!!!!!!!!!!!!!!!!!!!' ,c$P",;!!!!!!!!!! `:::::::::
:::::::  `!!!! ;  <!!!!!!!!!!!!!!!!!!!!!''`,c$$P".'`!!!'...._``! :::::::::
:::::::  !!!!';!>  `<!!!!!!!!!!!!!!!''`.zc$??",;<!>. ' d$$$$$$c  `::::::::
:::::'  ;!!!! <!!!!;, `!!!!!!!!'``_,cc$??" ,c,`'`!!!!; $$$".`?$h  ::::::::
:'' ,;;!!!!!' !!!!!!!'  `!!'`.,c$$$P"" ,cd$$$$$c,`'!!! $$F<$c`?$h ::::::::
' <!!!!!!!'' <!!!!!!' <L.,cc$$??"".zc$$$$$$$$$??$$c.`< $$ $$$r`$$ `:::::::
 !!!'`..,;;;!!!!!!' ,d????""".,cd .,c,,..,..  .z$$$$c, ?$ $PP$ $$ ; `:::::
 `!> !'```'`!!!''    .,zccd$$$$$ ..,,,cC"".,cd$$$$$$$$C $ ?h $ $$ <!  `:::
: `'.' <!!;,  -   : ?$$$$?? <$$$c$$$$$$F.??""""  ;$$$$$$$hd$c.z$$  !!  :::
:::. `-   :::::::'   $??".`.`$$$$$",$$P" nn.'  `,d$$$$$$$?$$$$$$$  `!  :::
::::::::::::::::',dP .r=",d$,`$$$$ d$$cd.`"" ,c$$$$$$$$$$,?$$$$$F. `!  :::
::::::::::::::::. ?$  <c="""" `$$$ $$$$$hc,c$$$$$$$$$$$$$L "?$??,$c ``! `'
:::::::::::::::::. ?$c .. ?.   ?$$ ?$$$$$$$$$$$$$$$$$$$$$$ <.,,c$$$c`! !! 
::::::::::::::::::. "$h $,.,cc, ?$L`$$???$$$$???$$$$$$$$$$L`$$$$$$$$,'!'! 
::::::::::::::::::::. "r<$$$$$$h ?$,$$cc,"$$$$c, `"?$$$$$$$ ?$$$$$$$$, !' 
::::::::::::::::::::::. `$$$$$$$h $$$$""" $$??"   hc$$$$$$$h`$$$$$$$$$ ' `
:::::::::::::::::::::::: `$$$$$$$,`???c$$P"   .:: $$$$$$$$$$ $$$$$$$$$h  !
:::::::::::::::::::::::::. "$$$$$$ccr???".' .::' d$$$$$$$$$F.$$$$$$$$$$h `
:::::::::::::::::::::::::::.`?$$$$L.    ...::' ,d$$$$$$$$$$ d$$$$$$$$$$$h.
::::::::::::::::::::::::::::. `?$$$$$h.`::'' zd$$$$$$$$$$$';$$$$$$$$$$$$$h
::::::::::::::::::::::::::::::. `$$$$?? .,cd$$$$$$$$$$$$$',$$$$$$$$$$$$$$$
::::::::''   _,```''':::::::::::. ?$$$ ?$P"".,$$$$$$$$$$',$$$$$$$$$$$$$$$$
::::'' .,c$$$P ; .;  ;;,,.`````'   `?$h.zc$$$??""""?$$$',$$$$$$$$$$$$$$$$$
:'' ,cd$$$$$",!>;! ;!!!!!' ;<' z$.zh.`?$$$P".zc$$$F,$$',d$$$$$$$$$$$$$$$$$
 ,c$$$$$$$$$ !!>'.. ``!' ;!!',d$$:$$$c,"?$ d$$$$$$c$?',$$$$$$$$$$$$$$$$$$$
d$$$$$$$$$P ;!! ;!!!!  ;!!' c$$$$:$$$$$c," `$$$$$P"",c$$$$$$$$$$$$$$$$$$$$
$$$$$$$$P",!`!! !!!!! ;!' z$$$$$$c$$$$$$$c,. "'.,cc$$$$$$$$$$$$$$$$$$$$$$$
$$$$$$P' <!  !!.'`'' .' ,d$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$$$$$" ;!' ;;`'!!!-''  d$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$$$?'.!' ;!!!>;;,      $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$$P <!' <!!!!!!!! `!!! $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$" <! .!!!!!!!!!!, !!!;`$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
" <' ;!!!!!!!!!!!! `!!!;`$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
 <' !!!!!!!!!!!!!!! <!!!.`?$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$??
< ;!!!!!!!!!!!!!!!!> <!!!> "$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$P",;;
' !!!!!!!!!!!!!!!!!!> `!!!!; "$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$P",;!!!!
 !!!!!!!!!!!!!!!!!!!!>.'`!!!!; "?$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$P";<!!!''`