################################################################################
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
================================================================================
;%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
:%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
)%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
================================================================================
&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&
&$$$&$$$%$$$$$%&&$$$$%%=$=%=%==%&%$$&%%$&&&=$$&&$&$$=&%&$$$$$$$$$$$$$$$$$$$$$$$$
)>++)>)+)&>++%+)+>>?&)>+&?)?>++>%)+>&)))))+*!)+*)*))*;-?$$$$$$$$$$$$$$$$$$$$$$$$
>>>=???>>&>>===?>>?%$??>&+?>>>??%+?)&+>!+*>>)?+)?)?+>)!&&$$$$$$$$$$$$$$$$$$$$$$$
&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%&&%=&%&&&&&&$&$$$$$&$$$$$$$$$$$$$$$$$$$$$$$$
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%=&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%=$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
)++>>+)%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%=&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
+>?=>>>%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%=&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%=$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
>=%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
>>+?>%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
=??+?%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&
%%%%%%%%%%%%%%%=================?????????????????===============%%%%%%%%%%%%%%%%
%%%%%%%%%%%%&$&&&&&&&$$$$$$$$$$$$$$$$$$$$$&$$$$$$$$$$$$$$&&$$$&&&&&&&&&&&&&&&&&&
%%%%%%%%%===&?=&==%&%%=?%=%&%&&$==&%&&&&%&?=&&%%=%%?=%%%&&%%&%%&&%%=%%$%&%%&&%%%
%%%%%%%%%>>=&?)?!+))?+>)+++>!?%%?+)))*=?++))++?+?)+)?)>)>%?*+)*>*+))=+&))>)?%*)+
%%%%%%%%%===&%=======%%==%%%*=&$&%==%%&%=?=?%==%&+==%==%%&&=%?>?=%====&==&=&%=+=
%%%%%%%%%%%%&$$$&$$&$$&$$&$&&$$&&$$&$$&&$&$&$$&&$&&&&$&&&&&&$&&&&&&$&$$$&&&$&&$$
%%%%%%%%%%%%&&$$&$&$&$$&$&&$&&&&$$&$$$$$$&$$$$$$$&&$$$&$&$&&$$$$$$$$$$$$$$$$$$$$
%%%%%%%%%?==&>?>=%%%?=%=&$&%%=>%=&&==%=&%%?==%%&+%&>?%=>====&$$&$$$$$$$$$$$$$$$$
%%%%%%%%%+>=&?)+!+**++)!%%&=*)>*+?>=**+=?+)*+!)&)*+!>*))?)+)=$$&$$$$$$$$$$$$$$$$
%%%%%%%%%%%=&$&&%&&&&&&+=$&$&&&&%$&%%&&&$&&%&&&&%&%&%&%&%&&%&$$$$$$$$$$$$$$$$$$$
&&&&&&&&&&&&&&&$$$&$&$$$&&$$$$$$&&$$$$&$$&$&&&$&$&$$$&&$$&$&&$$$$$$$$$$$$$$$$$$$
%%%%%%%%%%%=&&&&&&&&&$&$&&&&$&&&&&$&&&$&&$$&&&$$&$$&$&$&&&$$&&$&&&&$&&&&$&&$$&$&
%%%%%%%%%>?=$+)>??+>??>%&&%==>+?=???)>=???%%?==?%%>=??>==+==>>==+>???&+=?&)=>=??
%%%%%%%%%>?=&+=>+)+>>+*=%%%+))++)>>%)>*+>????+)?>=))+++=%)+)>>)?+>>>)&+>+&+++)*+
%%%%%%%%%%%=&&$&&&&&&&>%&$&&&&&&&&&&&&&&&&&$&&&&&%%&&&&&&&&&&&&&&&&&&$&&&$&&&&&&
&&&&&&&&&&&&&&&$&&&&&$$&&&&&&&&&$&&&&&&&&&&&&$$&&$&$&$&&&&&&&&&&&$&&$&&&&$&&$&&&
%%%%%%%%%%%=&&&&$&$$$$&$$&$%$$$$&&%&$$$$$$$$$$$$$$%&%$$$$&$&$$&&&$&&$$&%$&&&$$&$
%%%%%%%%%>?=&))>>)>++&&&?>=*>+??>>)+>>>+%==>>+%%+?)>+%+>>)?+>%>?>=>+??>>++>>+>?&
%%%%%%%%%>?=&?>>>>+?>=&&=++)>>+>?=+++??>=??++>%?)>+>>%?+>>>>>==?+=?+>+>>)??>>>+&
%%%%%%%%%%%=&$$$$&$$$$&$&$$$$$$$&$$&$&$$$&$&&&&$$$&&$$&$$$$$$$$$&$&$$$$$$$$$$$$$
&&&&&&&&&&&&&&&&$$&$$&$&$$$$&&$&&$$&&&$&&&$$$&&$$&$&$$&$&&$$&&$&$$$$$&&$&$$$$$$$
%%%%%%%%%=%=&==&&&&&&&&&&&&&$&&&&&&&&$$=$&%&&&&&&%$&==&&%%&$&$&&?%$&&&&&=&&&&&&$
%%%%%%%%%>>=&+=)>++)?))>+>)>&=$++>)?+=?*+)+)++)>%)+>>+)+)>++)$>+)++)+&+++)++)>*+
%%%%%%%%%?==&??>>+??=>?????=$&&>?>??>%=+?=?>%??%%>?+???%?==?>&??=??==$?=?>)+?>?=
%%%%%%%%%%%%&$&$&&&$$$$$$$$&$&$&$&$$&$$&$&$$$&$&$&&$&$$$$&$&$&$&&&&&&&&&&$&&&&$&
%%%%%%%%%%%%&&$$&$$&&&$$&$$$$&$&$&&&$$$$$$&$$&$&$$&$&$&&$&$&$&$&$&&&$&&$$$$&$$&&
%%%%%%%%%=%=&??&%&&&&&&&$$&&&&%&&&%&&%=&&&&&&?&$&&&&=$%&&%%&&&&&%===&&&&&&&&&$&&
%%%%%%%%%+>%&)>)+++!+?)=%%?+*>+)+)+*>%+!>)*)+))%++)+)&+)))**+)*)+?>+>*%>+)+)+=+)
%%%%%%%%%=%=&%&%%%%?==>&&$?>%&%%===?%&?%?=?%%??&%%==?&%%=?=?%=?%?%%%?%$%%==%%&%%
%%%%%%%%%%%%&&$&$&$&$&&$&$&&&$&$$$$$$$$&&&&&$$$&$$$&&$&&$$$$$$$$$$$&&$$$$$$$&&$$
%%%%%%%%%%%%$$&&&$&$&$$$$$$&&&&&&&$&&&&&&&&&$&&&&&&$&&&&$&&&&$$$&&&$&$$&&$$&&&$$
%%%%%%%%%?==&??%%====%=?%$$$=%%+%%%&%%%=%==?%%=%&&=%+%%?>&&=%==%&==%=>%===>%=%+&
%%%%%%%%%>>=&+%+)+)>*++)%&%&))++)*?>+*+!+?+)>+*?&%!)+++>+??)***>%>)>*+>=*?+)+)+&
%%%%%%%%%=%=&&%%%&&%%&&&%$&$%%%&&&&$&&&%&&&%&%+?%&=%=%%%%&&%=+%&&&%%%%%&%%%%%%%&
%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&
================================================================================
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
================================================================================
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
################################################################################