Dunkeltier
2002-06-09, 00:14:31
.. . --
.. .;, .=, .,,.;+.
. .-;= .;, .=%=,+=.-+%, .
. ,%H- ,;, .,.:/%;=H%-=$H:,.,, .
. -X%, :$, -;:$%$+;$//;@@H= ,,.,
. =X+, -%$, :X%H$H$%+=XX@H@+.,=-,,.
. .... ;H$:../H$=,+@HHX@@H+:@H@H$@;=;==,
. .-, .,-- -H#@:.%@+:/X@MX@MMM%;MMMH+MH/;;:
......,,,=:=-,,;%/:X##@$XH+/$@M#@M##M@HMM##M#M;=+, ..
.,-..,,,,,,,/$;:;+H$H####M@$XMM#MMMM#MMM#MM###M%/+,-=,--=:-..
.,. .-/:-,,-=;:--$$+++@MM#####MHHMMMM#M###MMM@@####X%+/$%+%%$/,.
,==. .;+%;://$HX+:XX/;@#M######MM@@M##M###MM#@@####M@H$%+H@@$- .
,==-.=;X@H@HX@@MXXMX+$MM########M@MMMMM##@MM@@######@%/%MM#%. ./+-.
.,:+X++$H###MM@@MMMMM@M#MM##M@####MM@@@MM#@@MH@######H$X@MM#+.,-/H%,..
.-=-=%MMMMM#######MM######M@##M@M####M@XHHHMXHHX@######HHM#MM#%:+X@X:..-.
...,-:/$%%XMM###########M#MM#MM#MM##M@M####@XHX$HXHX%X######M@MMM##HX@M##X,.:,
.....-=;+$HMMMM#M###############M@##MM##@HM###M@H$%H$H@$$M##M###@MMM##@@MM#MX=-%: ...
....,,,-==;/$M####M###############MHM#M###MXH####M@H$H$H@X$HMM@M##@@MM##@HMMMM@HHM$;+;,/,
....,---=:;%XM#####################MM@@@MMHMM@M##MMM#X%XHHXXXMMXHM#HXHM#M@@MMM####MMHH%: +,
..,--=:;/%HM############MMM########M@@MXXM@M#MHM#@MM#X%HM@HXX#M$%M#@$XH@HXHMM#####MM@X$H/.
.,,-=::;%$XX@MMMM#########M@@MMMM#####HXM$+@H@#MHM#M@M#H$HM@XX@##X+@#@$%$HX$XMM##### MM#H$M: ..
.,,-:;;+$HHHXH@MM#######M##M@H@M@M#####HX@X+HHXMMM###@HM@@@M@XX@##H%M#M%+%$$$HM##MM# ####M@M/..:+/,
..,=/+XHHXXH@@MMM#####M#MMM@@XH@XHM###MHHXHXX@@MM####@+$HMHHH@XH##@XM##H%$$%$H@##@M## ###MMMH+/H@X=.
..-=;%@MMMMMM###M#######MM@XXXHMXH@M##@XH@@@@MMM@#MM#M%%H#HHMMH@##MHM##MHXX$%$H#@$@ M###MMMMMHXXHH+/-
..-=:;++$M#################MX$XHMHXHM##@HXHM%$M@@H@MMM#@XH#@HM@HM##M@M##MH$$X%X##$+ @M###MM##H%$XM@X@+,
..,,-=:;+%%X@MMMM##############MHH@MMX@M###@HHM%+MMMHXMM@M#@H#M@MHHM##M@M##@$%XXXM##$ +@M###@@##HXM##@M#H-
..,,-=:;;+%XHH@@@MMM###MM#########MM@@@HM####M@@MX$#MMMHMHHM#M@M#@MXH###@MMMMX%$H$%M# #H%@M##MMH@M@M###@M#@=
..,,-=:::;;+$HM@@H@M#M###MMM######M#M#@XH@##MM#@HM#HHM###@MXH###MMM@@$H###@M@@@XH@X+/M##MH@M##MMH@M#####M###%.
..,-==::;;;+XHXXMMMM##MM##XHMMM@###MMMM@HXHM#M@#HX@#MM##M#@MHX#M#M@M@X%@MM#@MMMMMMHX %XM##MX@#MM@#M######MM##MM:.
.,,-=::;/+%$$XXHM######M##HHMMM@M###H@#M$%XH##MM@XHMM@M#M#$@HXM@M#MMM$+HM##MM#@MM@XH@HMM@ HX@#@@@M#######M###MH+..
..,-=:;/+++$H@M#####M#####MMMM@HM###@$XMX+%XM#@X@HHMM@@MM#$XXX@MMM@M#X+H@MM@MM@MM@@@@HMM HXXM#MMHM#MMM#######MHH::=.
.,,-=:;///%@#####M#M@@@@@M#MMMX$MM###X+@MXXH#MHX@MH@M@@@M#@HHHMM@@HM#X/HH@M@MM@MMM@@H@M#HXHMMMM$@#MMM###MM##M@@%/%-
..,-=:;///+H########MM@@@XHMMMMX%@MM##M$XM#@@#MXHMM@@@@HXHMM@@H@MHXH@MH$@H@#@MM@M@@@HX@##M @H@M#@$HMM@M###@@##M$H%:$+.
...,-=::;/;/XM###MMM####MM#MMMMM#@$$M####@XH##M##X$M#@H@HX$$HM@@HM@H$XH@MXXX@@HM@@M@H@HX@MM# M$XM#X%$MM@XMMMH@##M+H@++%/
...,--=:;/;;X####M########M########X$H@MMM#@HHMM##@X@MMHHH$$$$HHHXH@@%$XX@X$XH@H@H@MHHH$XM #MHMXX@M%++HMHXM@HHM##@+@#%,-H-
..,,-=:;;/;%M######M##MM########M##MHXXXXH@#MHX@##MHH@@H@HX$%%$$X$XH@%X$$@$%XXHHXXHHHHHXHM M$XMX%HM%+%@MH@@XH@M##@XM#$::H;
..,-=:;///%@##M#############M##MMM##@HXXHX$@#M$XM##@HHXXH@H$+//+$$$X@$X$%H++XX@X$XXXHHHXH@H$@@X+XMH$$H@X@H$H@@@MHX#MXXXMX,
.,-=:;///+H#@HM#############MM##M@MMHHXH@H%$@MHXHM#MHH$$HHHX+;:/%+%XH$%%$H++XHX%$$$XHHHHXHHH@@X$H@MX$X@XXX$H@H@MXH#MH@MHH:
.,-=;/+++$@H%$M#####M@M##########MMMHXXH@H$%%$XXXX@MHH$$XXXX%;-;//+HH%+%XH+%XX%+%%%XH$XHXXHHHHXH@@@HXX@$%$%XHH@H%H#M@@H+H%.
.,-:;/+++%XX%XM####M@XX@MMMM#######M#MHHH@HX$%%+%%/$MMHXXHX$X$/==::;H%/++X$+%X$+/+%$XX+$HX$XHH$$H$X@H$%@%%$$$$X@X%HM@@@XX#X-
.,-=:;///+%%$%H####@HHH@MM###########MM@$%$X$XXX/;;/+XMMHXX$$$%+:--=:X+;++++;+$%++/%$$$%$$$$XHX%$X+$HX+$H%$H$%%XM$+H@@@@XX@@;
..,=:;///+%+%$%@#MMM@@MMMM############M##HXHHXXXH+;///+HM@X$$$$%+;:-,=+;:+/;;;//++;:/%%%%%%$$$$++$$%$X%+H@X$X$$$XH$%XXH@@X%@#$.
.,-=:;///++%$%HM#MMMMM@@HH@HXM#MM###########MHX$X%+%+++$XHHX%%%%%++;--=-=/;=:;:;/+;:;/+%%+%%%+++%$%%$$$%HHX%X$$$$XX$%$HHHX$XX/.
.,,-:;;;/++%$%HM#####M@@@@MMH$@#@HMMM####MMM##M@M@$$$%++%%XX$%%++++++/;-.-:=-=:=::;:=::;/++++++%$$$%%%$%%XX$%$$$$X$X$%%XXXHXHH%,
... ..,-=:;;;//+%+X######MM########M@MMMM@X$@MMHXXXH@@@M@X%/;/+%%+++++%%%%//;,,,,,.,,---,,,--=:;;//+%%%%+++%++%$%%%$$$%XH$%%%%HM@MH%,
...,-=::;//+++$@##########M@MM#M@@###MMHHH@HXXX$%+%%%$$%+/:;+/////++++%//;=-,.....,,,,,..,,-=:;;///++//////////+%%%$$$$$%$X@HHM$+,
...,-=::;/++/%H######MMMM@XXX@HXXH@M#@@@M@XX%$X$%++/;;///+;;//;;;;;/;;//;;=-,.. ........,,-===:;/+/;;/::;;::;//+%$%%%$%$H@H@@$/-
..,,-=:;//+//X######@HXHHXXH@@$%XX$XHX$X@HHX$%%+//+/::==:::;;;:==:::==-===-,.. ...,,,,,-::;;;;;====--=::/++++%$XXHH@M$HX=...
..,,-=:;////$M#####M@@@@M@@@@H$$XX$$%$$X$$%%%%+/;::::=----===:=-------,,.,,... ....,--=:::=--,,,,,,-::;/+%$XXXH@@$X@;...
..,-=:;//+/+HMM##########MX%%XHHXX$%++$XX%/;/++/;:=--,,,,,,,,,,,........ .,,---,,.......,-=:;/++$$XH@HH%H%.
..,,=:;///+/%M##M########@HX%$@#X%$X$+++++%+///;;::=--,,,,... ...... .. ..,-=:;;/$XHH@@@$X$,
..,-=;//++//X###M#######@XX@HMMMHH@H$%%+/////;:====---,.,... .,,-:;/%XHHH@H$X$,
..,-=:;/+++;+@#####M###M@@@MMH@@@@@@X%+%///;::::=--,,,,..... ...,-:;+$HHH@HX+%;
..,-=;//++/;$######M##M@@M##@HHHHX$X$%%+/;;:===--,,....... ..,-=;%XHHH@H;+%.
. ..-=:/++++/;H#M######MHHMMMMHHHH$$$$$%+;;:===-,,......... ..,-=/$XHHHH;=%,
.. . .,-=;/+/++/+M#######MH@##MMMM@HXXHX%+/;;;:=-,,,,..... ..,-:+$XXHH$;%,
.. . ..,=:;++++/+X#######M@@####MMMHXH$$%+//;;;:--,,,..... ..,=;%$$XHX%$,
.. . ..,-=:/+++//$M#######@MM###MMMM@M@$+%+%+/;:=-,,,...... ..,-:/+$$HX/+=
.. . ..,-=;//+//%@#######MMMM###MM##MM@%+%$%+;:=--,...... ..,-:/%$XH%/-
. .. ..,-:;+////X@M#########MM######@X$$XH$+/::=-,,,..... ..,-=:+%X@%-.
...... .,-=;//+++%$HM################H%%@@$+;;;:==-,..... .,,-=/+$$,..
. ...,-:;/+++++%H#MM###########M@H%X@@%/++++;==-,,,... ..,,-:/$X=
. .. ..,-=;//+/++++H#MM#########MHHHXXHHX%$%+//;==-,,,... ..,,-=;%H/
.. ..,-=:;/++/+++%H#M#########MHHM@@HXXX$$++/;;;=-,,... ..,,,-:+X+,
.. ..,-=;/+++++/+$XM#######M#MH@##MH$XHH$$$%+/;:=-,,... ...,,-:/$;,
..... ..,-:;/+++++/+%X######MM#MMM#MMXX@@MMH$%+/;::==,,... ....,,=;$/-
.. ..,-=;///+/+/+%H#####MMMMMM##M@H@#MM@H%++/;:==-,,... ....,,-:%%=
. ...,-=:;////+/+$M######MMM#MMM@@M##M@HX%%%+/;:=--,... ....,,-=/X/
... ..,-=:;//+++/%HM###M##M@MM@@MM#MMMHXX%%+//;:==--,,.. .....,,-;X%.
. ..,-=:;//+++/%X@##@@##@@MMMM###MMHHHX$$%+/;:==--,,.. ....,,-;$+,
.... ..,-=:;/++++/%$@##MM#M@MM######M@H@@HXX%/;;;:=--,,.. ......,-:$%-
... ..,-=;//+++/+%$M####MMMMM##MMMMMMMM@HXX%/;/;:==-,... .. .......,=%H-
... ...,-:;/++++/+%H#####MM#MMM#MM#####MMHX$%///;:=-,,... .......,-+H;
... ...,-:;/++++/+X#####MMMM##########MMMHX$%+//;=--,,... .......,-;H%.
... ..,-:;/+++++%@####M@@M###########MM@HH%+++/;:=--,,.. ........,:HX-
... .,,-:;/+++/+%@##M#M@MMMMM#####M@M#MHHH++++/;==-,,,.. ........,:X@;
.... .....,-=://++++/%M######MHHM###M@H@@MM@HHXX$%/;:=-,,,... .........=%H+.
.... ..,-=;/++++/+X######@H@M###@HHMM##M@@HHX%/;:=-,,,... .........-%X+.
. ...,-=;/++++/+H#####M@@####@H@M####M@XXX$+/;:-,,,... .........-+X+.
... ...,-:;/++++++H@####MM####M@@M#####MHHHX%+;:=-,,,... .........,;@+.
... ...,-=:/+++++++$XM##MMM###MMM######MMMMH$%/:==-,,,... ..... ...:X:
... . ..,-=;/++++++%%%@#MH@#############M##@%%+;:=--,,,... ........:%,
. . ..,-:;/++++++%%+@#M@##############M#MH%%+;:=--,,,... ........:/,
. ..,-:;+++++++++/@###################@$%%/;:=-,,,.... .......=;,
. ..,=:;/+++++++//@################MMMH$%/;:=-,,,,..... .......=/-
. ....,-:;//++++++//H###M###########MHHXX%+;:=--,,,,...... .....,=;=
.. ....,-=://+++++++/H#M@M#########MM@HHX$%/;:=-,,,,,...... ......,=:=.
. ...,,-:;/+++++++/H#MM#########M@@@M@$%+;:==-,,,,,,...... .. ...,,,,=:,
...,-=:/+++++++/H#M##########MMM@@H%+/:==--,,,,,,.................... ...,,,-==.
. ....,-=:/+++++++/H##############MHH$++;:=---,,,,,,.........,,,,,....... ...,---:-
. .... . .,,=:/+++++++/H##########MM#MHHHX+/;:=---,,,,,,,.....,,,-----,....... ......... ....,-=::-
... . .,,-:/+++++++/XM##MM##MM@H@M@XHHX%/;==-,-,,,,,,,...,,--------,,...,,....,,-,-====-==-,,.. ....-==:;-
... .,-:/++++++++$@M@M##@@H$HM@MM@X$+/:=--,,,,,,,,,,,,,-=--,,---,,.. .,-=:=:;+////+/;==-,... .,.,,,,,,-=-==::;+/,
... ..,-:;++++++++%HM@M#MX$%%@MM#MHX$+;:=--,,,,,,,,,,.,,,,,,,,,-,,.. ...,==:::/%%%+/////;:-,.. ....,--=:;:::;::;;:=:;+%=
... ..,-:;+++++++++XM@@@@X%%XMMM#@XX$+/:--,,,,,,,,,,.,,,,,,,......... ..-:;;;;/++++//;;;;:=-,... ..,,,-=;;;/+++++//+/;:=:/%;,
... ..,-:;++++++++/XM@@H@X%XMM@H@HX$$+;:--,,,,,,,,,,,,,--,,,,,......... .,-;;;;;;;;;;;;:=::===-.., . .,,,-:////+%$$$%%%+/+/;;/+/,
... ..,-:;+++++++//%H@MM@H@#M@HHM@XX$/;=-,,,,,,,,,...,,,---,,,,..........,,=;;;;::::====-,------,,, ..,,--:/++/+%%%%%%$%++////+%;.
... ..,-=;/++++//::/+%@MMM##MHH@M@HH$/;=-,,,,,,,,.......,,,,.............,-======:;:==--,,,,,,...., .,,=::;;///++////+%+++/;///+:.
.... ....,-=;/++++/:==::/HM####M@MMM@@X%/:=,,,,,,,,,......................,,,-==:;;;;;=:==-,,......... .,-;;;;:;;;;;;;::;///;;;////-
..... ...,-:;/+///;:===-=$M####MM##M@HX%/:-,,,,,........................-==:/+$$$XX/---:==-,,......... ..-:;;::::;;;:----=:;/;::::;;,
..... ...,-=:;++;:;;::==-,+@#######MM@H$+;=-,,,,,............. ....,,-=//%XXHH+%@@/. .,=--,,,........ .,=:::;%$$$%;;;;:====:;:::;;-.
..........,-=;/+/===:::::=,;@#######MM@H$+:=-,,,,............. .....,-=:/+:+XX@X-:HH+. .---,,,... .... .,-=:/$@HH@@X:-;%$+/::=::::;;.
.........,-=:;/+;========:-;H######MMM@H$/:=-,,,,.......... ...,-=;+%=./XX@$-/@H+. .--,,... .. .,=,;H@@;/HXH; -%X$%+;:==:;:
......,--=:;//++:-=========+XXM####MMM@X%/:-,,,......... ...,,,-:/+= =$XHX%XH$:. .,.. . .-,.+@HM/%@XH+ =$XX%/::=:;=
.....,-=:;///+++=-======--=%/:XM###MM@H%//:-,,,......... ...,,,,-:/:,. ./$$XXHH;. . .,../HH@/%H$X+ .;%X%;::::;:
....,-=://++++%/--===::=-,-+:-%MMM#M@HX%+/:-,,,........ ..,,-,--:;=,,. ,;%$$$+. .,. ., -%XXXXXX$= ,-;X$/:===:;.
...,-=:/++++++%;,-===::=-,,;==%H@@M@@H$%%/=-,,........ .,,,,,-===--,..,::-=- .,,.,-, .. .,/%%$$XX: -=:%%+:==-;%.
..,-=:;+++++++%=,====::=-,.-;;+%XHHXHX$%+;=-,,....... ....,,,----=-,,.,. .. .,-,... ...=-=:=;+%;. .=:;/+/;=--;$.
..,-=:/++++++++--==::;:=-. ,:+++$X@HX$%/;:=-,,,..... .....,,,,-,,,,.,. .,....,,.. ..,,...,--,..,--=://;;:---;+.
.,,-=;/+++++++/--==:;;:=,. .=%+/$H@X+//;::--,,,,.... .......,....... ......,.. . .......,,,,,-==:::;;;;=,,,:/.
.,-=:;++++++++/---=:;;=-,...-+$$XX$%//;::=-,,,,..... . . ..... .. ...,,,,---,,,--=====::-,,,;%.
.,-=:;++++++++/---=;/:=-,...,/$%+/+%+/;==-,,,,,,.... .. .,..,,,,,,,,,,,,,---==,,,-;/.
,,-=:/++++++++/---=;;:=-....,;:--;%+;;:=--,,,,,,.... .. .,..,,,,,,,.....,,----,,,-==.
,,=:;/++++++++/---:/:=-,...,-;=-=/+/:::=--,,,,,,.... ,...,,,,,,......,,---,,,--,.
,-=:;+++++++++/--=;;:=-,..,-::=-=//;::=---,,,,,,.... . ,,...,,,........,,,-,,,,-,.
,-=;/+++++++++/=-=/;=-,,,,-=====:;;;::=---,,,,,,.... . .,....,.... ...,,,,,,,-,
,-=;/+++++++++/=-:/:-,,,---=--:;;;;;::=---,,,,,,,.... ... .,......... ...,,,.,,-,
,-=;/+++++++++/--;/:-,,-===-.,:;:;;;:==--,,,,,,,,.... ... ,-,. ..... ...,...,-=,
,-=;/+++++++++;=-;/=,,-===-, .::=:;;:==--,,,,,,,,.... ... .-,. ..... ...,....,=.
,-=;/+++++++++/==;/=,-====,. ,;=-:;::==-----,,,,,,.... .... .,,. . .......,=.
,-=;/+++++++++/==:;=,-====, -:--:;::===----,,,,,,..... .... ,-.. .......,=.
,-=;/+++++++++/==:;=--===-. -:--:::====----,,,,,,..... ..... ,-,. .....,=.
--=;/+++++++++/==:;:-====-,. -;-,=::====-----,,,,,,.... ..... .-,. ....,=.
--=;/++++++++%/:==;:===:==-. -:,,=::====------,,,,,,... ..... .--. ....,-.
--=;/++++++++++;==::==::::=,.-:,,:::====--------,,,,..... .... ,,, ..,,-.
--:;+++++++++++;==:::==:::=-,-:,-:::::==--------,,,,..... ....... .-,. ..,,-.
--:;+++++++++++/:=:::======-,=:--=::::=----------,,,,.... ....... .,,. ..,,-.
--:;/++++++++++/::::::=====--=:===::;:------------,,,,... ......... .. ..,-, ..,,-.
--:;/+++++++++++;::=::====---=:;==:::=------------,,,,... .............. .,,-. ..,,-.
-=:;/+++++++++++;::=:::===-,,=:;:=::==------------,,,,... ..,,,,.,,,...... ..,-. ..,,-.
,-=;/+++++++++++/;:::::=:=-,,,-::=::==---------=---,,,... ....,,,,,,,,,.. ..,,. ...,-.
,-=:/+++++++++++/;:========,...,,-=:===--------=---,,,... .,,,,,,,,,,,,. ..-. ...,=.
,-=:/+%+++++++%+/;:========-,. .,=:===--------==--,,,,... ,,,,,,,,,,,.... .,, ...,-.
,-=:;++++++++%%++/::==::==-,,.....=::=---------==--,,,,.. .--,,,,,,...... ,, ...,-.
,-=:;/+%+++++%%++/;:==::=-,,,,....=::=-----,,--==---,,,.. ,--,,,,........ .,. ...-,
,,-:;/+++++++++%%+/;::::=--,,,,...-:;=-------,-===--,,,.... .--,,,,... .. ,-. ..-,
,,-=:/++++++++++%++/;:;::=--,,,...,=;==--------==---,,,,... .--,,... ,-. .,-,
,,-=:/++++++++++++++//;;:==---,,,..-;:==-------------,,..... ,--,,.. ,=, ..,-. .
.,-=:;/+++++++++++++++/;::====-,,...:;:=---------=---,,..... ,--,.. .-=- ..,- .
.,,-=:/++++++++++++++++/;::===--,...=/:=--------------,..... ,-,,.. .. ,-=- ...-- . ..
.,,-=:/+++++++++++++++++;;:::==--,..-/;:=-------------,..... ,-,,.. .... --=- ...-, . ....... ...
.,,--=;/+++++++++++++++++/;;;;::=-,.-+/:==---------=--,,..... ,-,,,. .,,,,.. .-=-, ...,-. ...... .... ...
.,,,-=:;/+++++++++++++++++++++++;:=-=+/;===--------=--,,..... .,-,,.. ..,,-===,.. ,==-. ...,=. ... ...........
...,,-=:;+++++++++++++++%++++%$XXX%//%/;:===----------,,..... .,-,,,..,,.,,,,-==,.. .,-=-. ...,=. . .... ..........
....,,-=:/+++++++++++++++++++%$XH@@X$$+;:===----------,,,.... .-,,,,,,,......-=,.....,==--...... ....--. . . .. ...... ..
.....,--=:/++++++++++++++++++%$H@@@X$$+/::==----------,,,,... .,,,,--,.. ..-,,,,-==:=,,..............=, ........ ...........
.....,,,-=;/++%+++++%+%%++++++$@M@MH%$%/;:===---=-----,,,,.... ...,,... ..,,--=:==-,,....,,........:, . ......................
......,,,-=:;+++++%%%%%%++++++$MMMMH%$%+;::===--=-----,,,,.... ..,,,:==-,,.....,,,......,:. ........................
.......,,,-=:;//++++++++++++++X####@$%$+/;:===--==----,,,..... ...,-=--,,.....,-,.....,,- .... ...............
.......,,,,,--=:;;//+++++%++++H####M$%$%/;:::=--=-----,,,..... ..,,---,......,--,....,-- . ....................
..........,,,,,-==:;/++%%%++++H#####X%$%/;:::=--=-----,,,,,.... ...,---,,.....,--,....,-, .........................
.............,,,,-=;/+%%%+++++@#####H%%%+/;::==-------,,,,,.... ......,,,---,....---,,...-=...........................
...............,,-=:/+++++%++%@#####@+%%+/;::===------,,,,,.... .,.....,,,---,,...,--,....-:. ........................
..,,...........,,-=:/+++++%%+%@#####M%+%++;;::==-=----,,,,,..... .,. ...,,,-,,,,...,,-,,...-=. .........................
,,,,.,.........,,-=:/+%%%%%%+%@M####M%+%++/;::==-=----,,,,,..... .. .,.,,-,,,,,,.,,,,..,=, . .......................
,,,,,,.,.......,,-=:/+%+%%+%+%H@M###M%+%++/;;::===----,,,,.,..... .. ,.,,--,,,-,.,,,,,,,:,...........................
,,,,,..,.....,.,,-=:/+++%%%%%%$X@M##M$++++/;;;:===----,,,,........ ...,-,--,,..,,,,,,-=............................
,,,,,..,,,,,..,,--=;/+%%+%%%%%%$HMM#MX++++//;;:====---,,,,,,...... .. ..,,,,--,...,,,,,,==............................
,,,,,,,,,,,....,--=;/+%%%%%%%%%%XHMMMX%+/////;::===---,,,,,..,.... ,. ..,----,....,,,..,=-............................
,,,,,,,........,-=:;+%%%%%%%+%%%%$@M@X%+/////;;:===---,,,,........ .. ,,,---,......,..,-:, ...........................
,,,,,,...,...,,,-=:;/+%%+%%%%%%%%%X@@X%++////;;::===--,,,,....,... .,,... . .,-===::=,. .......,==.............................
,,,,,,,,,,,,.,,,-=:;/++%%%%+%%%%%%$XHX%+++////;::===---,,,,........ .----,,,.......,,,,--------,,,-=;;////:.. .......,=-.............................
,,,,,,,,,,,,.,,,,-=:/+++%++%%%+%%%%$XX%+++/////;::==---,,,,,........ .--======-----===:::::::::===:::;/++///:.. ......,-:, ............................
,,,,,,,,,,,,,,,,,--=;/++++%%%%%%%%%%XX%+++//////;:===---,,,......... .,-,,-=::::::::::::::::;;:::::;:::;;;;;/:.........,-=..............................
,,,,,,,,,,,,,,,,,,-=:;/+++%%%%%%%%%%$$%+////////;::==---,,,......... ......,-=====:========:::::::::====:::;/=........,,==..............................
,,,,,,,,,,,,,,,.,,,-=:;/++%%%%%%%%%%$$%+////////;;::=---,,,,........ .,,--=======--,,--====-----===:::;;=........,-:- .............................
,,,,,,,,,,,,,,,.,,,,-=:/++%%%%%%%%%%%%%+/////////;::==---,,,......... ..,----===--,,,,,--------=====::;;-.......,,-:. .............................
,,,,,,,,,,,,,,,,,,,,,-=;/+%%%%%%%%%+%$$+/////////;;::=----,,,......... ..,,,-----,,,.,,,,----,-=-===:::=,.....,,,-==. .............................
,,,,,,,,,,,,,,,,.,,,,-=:;/+%%%%%%%%+%X$+//;;//////;;:==---,,,......... ...,,----,,,,...,,,--,,---=:=::=-,.....,,,-:,...............................
,,,,,,,,,,,,,,,,.,,,,,-=:/+%%%%+%%%+XH%+//;;;//////;:===--,,,......... ..,,,-,,,,,,..,,--------=::::=-,....,,,,=: ...............................
,,,,,,,,,,,,,,,.,..,,,-=:;+++%%%%%++HH%+//;;;;/////;;::==--,,,......... ..,,,,,,,--,,,--------===:==-,,....,,,=:- ...............................
,,,,,,,,,,,,,,,,,..,,,,-=:/+%%%%%%%%X@%+/;;;;;;;///;;;:==--,,,......... ..,,,,,,---------=========-,,,....,,-=:.................................
,,,,,,,,,,,,,,,,,,..,,,-=:;+%%%%%%%%X@%+//;;;;;;;///;;;:==--,,,......... ...,,------===========---,,,,...,,--:-.................................
,,,,,,,,,,,,,,,,,,,.,,,--:;/+%%%%%%%X@%+//;::::;;;////;::==-,,,,........ ...,,---=---=====----,,,,,,,...,,-==, ................................
,,,,,,,,,,,,,,,,,,,,..,,-:;++%%%%%%%XH%+//;:::::;;/+///;::==-,,,,....... ...,,,,--------,,,,,,,,,,,...,,,-:-..................................
,,,,,,,,,,,,,,,,,,,,.,,-=:/+%%%%%%%%HH%+//;:::::::;/////;:==--,,,,........ ......,,,,--,,,...,,...,,...,,-=:, .................................
,,,,,,,,,,,,,,,,,,,,,,,-=;/+%%%%%%%%HH%+//;:::::::;;///+/;:==--,,,....... ..,,,,,,,.....,,.,,,,..,,,-:-...................................
,,,,,,,,,,,,,,,,,,,,,,-=:/+%%%%%%%%%HH%+/;;::::::::;//++//;:==--,,,........ .......,......,,,,,,,..,,-=:,...................................
,,,,,,,,,,,,,,,,,,,,,,-:;/+%%%%%%%%%HX%+/;;::::===::;//+//;;:==-,,,,....... ... ..,,,,,,,..,,-:-....................................
,,,,,,,,,,,,,,,,,,,,,-=:;+%%%%%+%%%$H$%+/;;::::====::;//++/;;:=--,,,,,..... ..,.,,,,..,-=:,....................................
,,,,,,,,,,,,,,,,,,,,--:;/+%%%%%+%%%$H$%+/;;:::======::;//++/;;:=--,,,,..... ...,,,,.,,=:-................................,....
,,,,,,,,,,,,,,,,,,,,-=:/+%%%%%++%$%$H$++//;:::======::;;//+/;;;:=-,,,,,,.... .,,,,.,-:=......................................
,,,,,,,,,,,,,,,,,,,,-=;/+%%%%%%%%%%$$$++//;::====-===::;//////;:==-,,,,,..... ..,..,,=:,......................................
,,,,,,,,,,,,,,,,,,,-=:;+%%%%%%%%%%%%$%+///;::====-=====:;//////;:==-,,,,..... ..,,,,-=-.................................,,,,,,
,,,,,,,,,,,,,,,,,,,-=;/+%%%%%%%%%%%%%%+///;::===----====:;//++//;:==-,,,..... ..,,,,==,..............................,,.,,,,,,
,,,,,,,,,,,,,,,,,,-=:;+%%%%%%%%%%%%%%%///;;::===-----===::;/++++/;::=-,,,,.... ..,,,=:-..............................,..,......
,,,,,,,,,,,,,,,,,--=;/+%%%%%%%%%%%%%%+///;:::===-------==:;;/++++/;;==--,,,..... ...,--:=.............................,.,....,,,,,
,,,,,,,,,,,,,,,,,-=:;+%%%%%%%%%%%%%%%+///;:::===--------==:;;/++++/;:==--,,,,.... ..,,--==,..........................,,.,.,,,,.,,,,,
,,,,,,,,,,,,,,,,-=:;/+%%%%%%%%%%$$%%++/;/;:::===---------==::;/++++/;:==---,,,.... ..,,-==,.....................,..,,,,,,.,,,.,,,,,,,
,,,,,,,,,,,,,,,,-=:;+%%%%%%%%%%%$$%+++///;;::==-----------==::;/++++/;::==--,,,.... ...,-=:-..........................,,,,,..,,,,,,,,,,
,,,,,,,,,,,,,,,-=:;/%%%%%+%%%%%%%$%+++/;;;::===------,-,---===:;/+++//;;::=---,,,...... . ..,,,=:=..........................,,.,,,,.,,,,,,,,,,
,,,,,,,,,,,,,,--=:;+%%%%%+$$%%%%%$$++//;;;::===-----,,,,,,--===:;///////;::==---,,,............ ...,,,-::-.........................,,,....,,,,,,,,,,,,
,,,,,,,,,,,,,,-=:;/+%%%%%%X$%%%%%$$%+////;::===-----,,,,,,---===:;;/++///;;::==--,,,,,.......... ...,,,-=:-,............,............,,,..,,,,,,,,,,,,,,
,,,,,,,,,,,,,--=;/+%%%%%%%$$%%$%%%$%%+///;::===----,,,,,,,,---===::;//+++//;;::==---,,,,,........... .. ....,--=;:,..,..........,,....,,,,,,,,,,,,,,,,,,,,,,,,,,
,,,,,,,,,,,,,-=:;/%%%%%%%$$%%$$%%%%%%+++/;;:===----,,,,,,,,,---====:;;/+++//;;;;:==------,,,,,,....................,-==:/;-,..........,.,.,,.,,,,,,,,,,,,,,,,,,,,,,,,,,,
,-,,,,,,,,,,--=:/+%%%%%%%%$%%$%%%%%%%%+++/;:===----,,,,,,,,,,----===::;//++//;;;;::======--,,,,,,,,,............,,,-==:;/+/:=,....,..,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
,-,,,,,,,,,,-=:;/+%%%%%%%%%%%$%%%%%%%%%++++;:=------,,,,,,,,,,-----===::;;/++////;;;;::::==--,,,,,,,,,,...,,,,,,---=:;/++++++;=,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
,,,,,,,,-,,--=:;++%%%%%%%%%$$$$$%$$%%%%%+++/;:=----,,,,,,,,,,,,,----====::;;/+///////;;;;;::=------,,,,,,,,,,---===:/+++//++%%+;=,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
-,,,,,,,--,--:;++%%%%%%%%%$$$$$$$$$$%%%%%++++;:=---,,,,,,,,,,,,,,,----====:::;////++///////;;:====-----------==::;/+%%+/+//+++%%/:-,,.,,,,,,,,.,,,,,,,,,,,,,,,,,,,,,,,,,
------------=;+%%%%%%%%%$%$$$$$$$$$%%%%%%+++++;:=-,,,,,,,,,,,,,,,,,,----====:::;;//++++//++///;;:::::::===::::://+%$$%+/+//%+++%%+/:-,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
---,------=:/%%%%%%%$$%%$$$$$$$$$$$%%%%%%%%%%%+;:=-,,,,,,,,,,,,,,,,,,----======::;;;//+++++++++//;;;;;;;;;////+/+$X$%+//++/+++%+%%%+/;=-,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
---------:;+%$%%%%$$%%%$$%%$$$$$$$%%%%%%%%%%%%%+/:=-,,,,,,,,,,,,,,,,,,-----=========::;//++//+++++++++++/+++++//%X$%%+/+%+///%$++%%%+++/:=,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
----,-=:;/%$$$%%$$$%%%$X$$%$$$$$$$%%%%%%%%%%%%%%+/:=-,,,,,,,,,,,,,,,,,,,-----=======-==:::::;;;//++++++/////;;;/%X%+++++%%+++%$+++%%%%%+++/:=,,,,,,,,,,,,,,,,,,,,,,,,,,,
----=:/+%%$$$$%$$$$%$$$XX$%%$$$%$$%%%%%%%%%%%%%%%%+;=-,,,,,,,,,,,,,,,,,,,,------====---=======::;;;;;;;:::::::;+%%%++/++++++++%%%+%%%%%%++%%+;:=-,,,,,,,,,,,,,,,,,,,,,,,
--:;/+%%%$$$$$$$$$%%$$$HX$%$$$$%$$%%%%%%%%%%%%%%%%%+;=-,,,,,,,,,,,..,,,,,,,--------============::::::::=:::=::/%%%%%+/+%+++//+%%%+%%%$$$%++%%%%+;:=,,,,,,,,,,,,,,,,,,,,,
=/+%%%%%$$$$$$$$$$%%XX$HH$%$$$$%%$$%%%%%%%%%%%%%%%%%+/:-,,,,,,,,,,..,,,,,,,----------==========:::::====:===:;+%%%%++++%++++++%%%+%%$$$$$%++%%%$%%+/:-,,,,,,,,,,,,,,,,,,
%%%%%%%$$$$$$$$$$$%%HH%XHXX$$X$%%$$%%%%%%%%%%%%%%%%%%+/;=,.,,,,,,,,.,,,,,,,,---------==========:::=========::/%%%%%+++%++++++++++++$$$$XXX$++%%%%++%%%/;=-,,,-,,,,,,,,,,
$%%%%%%$$$$$$$$$$$$%XX%XHXHXXX$%%$$%%%%%%%%%%%%%%%%%%%%+/:,,,,,,,....,,,,,,,,,---------====================:/+%%%%%++%%%%++%+++%++%$$$$HXX$%+++%%++%%$%%+/;=--,,,,,,,,,,
$%%%%$$$$$$$$$$%$$%%XH%$HH@H$X$%%$$%%%%%%%%%%%%%%%%%%%%%+/:--,,,,....,,,,,,,,,,----------=================:;+%%%%%+++%%$%/+%%++%%%%$$$$H%H$$%++++++%%%%%%%%+/;=-,,,,,,,,
$%%$$$$$$$$$%%%%$$$%$X$HH@@HX$$$%$$%%%%%$$$%%%++%%%%%%%%%++/;-,,,,,,,,,,,,,,,,,-,----------------========:;+%%%%%+++++%%++++%%++%%+%$%XX+H%%$%%++++++++%%%%%%%+/;:=--,,,
%%$$$$XX$$%%%%%%$$%+%HHHH@HHH$X$%$$%$$$$$$$%%%+++%%%%%%%%++++;:=,,,,,,,,,,,,,,,, ,,---------------=======:;+%%%%%%++++++%++++%%%%%%%%$$$%$@$$$%X%%%++++++%%%%%%%%%++;:==-
$$$$$$$$$%%%%$$+%%%XHHX$XMHXHXX$$$$$$$$$$$$%%%++%%%%%%%%%%%++++/:-,,,,,,,,,,,,,,,----,,,---------======:;+%%%%%%+++++++%++++%%%%%%%+%$%$$X$X+$H+%$%$%%%%%++%%%%%%%%%%+/;
$$$$$$$$$%+%%$+/%XHHX$%$H@XXX$$%$$$$$X$$$%%%%%+%%%++%%%+%%%%%++++/;=-,,,,,,,,,,,,----------------=====:/+%$%%%%%++%+%%%%++%++%%%+%%%%$%$$$$$%$$+X$+$$%%%$%++%$$$$$$$$$%%
$$$$$%%%$%+++++%$X$%$X$$HHXXXX$%XX%$$$$$%%%%%%%%%++%%%++%%%%%%++%%+/:=-,,,,,,,,,,,,,-------------===:;/+%%%%%%%%++%+%%%%++%%%%$%%%++%%%$$$$XX$%+$++$X$%%X$%%%%%$%$$$$$$$
$$$$%%+%$%//+%$$%$$%$HX$XHX$XX%%HH%%$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%++/:=--,,----,,,,,,-----------===;/+%%%%%%%%%+%%+%%++++%%%%$$%%%+%%%%$%%$$$$$$%+%$$+$X$%%%$XX%$X$$$$$
$%%$$$%++++%%%$$$XX%$H$$XHX$$$$XHX%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%++%+++/;;:--------,,-----------===:;+%%%%%%%%%%%%%%%%%+++%%%%%%$%%%%+%%%$%%%%%$%%%%$$%+$$$%%$$$X$XH$$$X$
%%%$$$+/+%$%+%$$XXX$$X$$XXX$%$XX$%%$$$$$%%%$%%%%%%%%%%%%%%%%%%%%%%+++++/+/;==----------------====:;+%%%%%%%%%%%%%%%%%%%++%+%%%%%%%%%++%%$$%%%%%%%%+%$$$X$%+$H%%$%HH$$XHX
$%%%%+%$X$%++$XXXXXX$$$$$$X$$%$$%+$XX%%$%%$$$%%$%%%%%%%%%%%%%%++++++++++%%%/:===----------=====:;+++%%%%$$%%%%%%%%%%+$X++++%%%%%%%%%%++%%$$$$$$$$%%%%+%%XX$$$/X$%@X%%$H$
$%+%+$XX%++%%$XX$XX$$$$$$$XX$%$$$$XH%+%$%%$$$$$$$$%%%%%%%%%%%%%+++++++++%%%+;;;; :===-----====:;/+%%%%%%%%%%%%%%%%%%%%XX++%+%%%%%%%%%%++%%%%$$%$$$$$$$%%%%$$$$%X$$H$%%XH$
$++%$X$%++%$$$X$$$$$$$$$$$XX$%$%%$X%/+$$%%$$$$$$$$%%%%%%%%%%%%%%++++++++++%+/++//;;:==--====:/++%++%%%%%%%$$$%%%%%%%$$%%+%%%%%%%%%%%%%+%%%%%%%$$$$$$$%%%$$%%$XXX$$$%%XX$
%+$X$%+%%%$$$$$$$$$$$$$$$$X$$$%%%%%/+$X$%%$$$$$$$$$%%$$%%%%%%%%++++++++++/+%+%/++++/::===:;;;%$++++%%%%%%%$$$%%%%%%%$%+%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$%$$$$$$$$XXXHX $XX$
+XX$%%%%%%$$$$$$$$$$$$$$$$$$$$%%%%%%$HX++%%$$$$$$$$%%$$$%%%%%%%+%%++++++++%%+%%+ ++/+;;;::+%+/%%///+%%%%%%%$%%%%%%%%$$$%+%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%$$$HHHHHX
.. .;, .=, .,,.;+.
. .-;= .;, .=%=,+=.-+%, .
. ,%H- ,;, .,.:/%;=H%-=$H:,.,, .
. -X%, :$, -;:$%$+;$//;@@H= ,,.,
. =X+, -%$, :X%H$H$%+=XX@H@+.,=-,,.
. .... ;H$:../H$=,+@HHX@@H+:@H@H$@;=;==,
. .-, .,-- -H#@:.%@+:/X@MX@MMM%;MMMH+MH/;;:
......,,,=:=-,,;%/:X##@$XH+/$@M#@M##M@HMM##M#M;=+, ..
.,-..,,,,,,,/$;:;+H$H####M@$XMM#MMMM#MMM#MM###M%/+,-=,--=:-..
.,. .-/:-,,-=;:--$$+++@MM#####MHHMMMM#M###MMM@@####X%+/$%+%%$/,.
,==. .;+%;://$HX+:XX/;@#M######MM@@M##M###MM#@@####M@H$%+H@@$- .
,==-.=;X@H@HX@@MXXMX+$MM########M@MMMMM##@MM@@######@%/%MM#%. ./+-.
.,:+X++$H###MM@@MMMMM@M#MM##M@####MM@@@MM#@@MH@######H$X@MM#+.,-/H%,..
.-=-=%MMMMM#######MM######M@##M@M####M@XHHHMXHHX@######HHM#MM#%:+X@X:..-.
...,-:/$%%XMM###########M#MM#MM#MM##M@M####@XHX$HXHX%X######M@MMM##HX@M##X,.:,
.....-=;+$HMMMM#M###############M@##MM##@HM###M@H$%H$H@$$M##M###@MMM##@@MM#MX=-%: ...
....,,,-==;/$M####M###############MHM#M###MXH####M@H$H$H@X$HMM@M##@@MM##@HMMMM@HHM$;+;,/,
....,---=:;%XM#####################MM@@@MMHMM@M##MMM#X%XHHXXXMMXHM#HXHM#M@@MMM####MMHH%: +,
..,--=:;/%HM############MMM########M@@MXXM@M#MHM#@MM#X%HM@HXX#M$%M#@$XH@HXHMM#####MM@X$H/.
.,,-=::;%$XX@MMMM#########M@@MMMM#####HXM$+@H@#MHM#M@M#H$HM@XX@##X+@#@$%$HX$XMM##### MM#H$M: ..
.,,-:;;+$HHHXH@MM#######M##M@H@M@M#####HX@X+HHXMMM###@HM@@@M@XX@##H%M#M%+%$$$HM##MM# ####M@M/..:+/,
..,=/+XHHXXH@@MMM#####M#MMM@@XH@XHM###MHHXHXX@@MM####@+$HMHHH@XH##@XM##H%$$%$H@##@M## ###MMMH+/H@X=.
..-=;%@MMMMMM###M#######MM@XXXHMXH@M##@XH@@@@MMM@#MM#M%%H#HHMMH@##MHM##MHXX$%$H#@$@ M###MMMMMHXXHH+/-
..-=:;++$M#################MX$XHMHXHM##@HXHM%$M@@H@MMM#@XH#@HM@HM##M@M##MH$$X%X##$+ @M###MM##H%$XM@X@+,
..,,-=:;+%%X@MMMM##############MHH@MMX@M###@HHM%+MMMHXMM@M#@H#M@MHHM##M@M##@$%XXXM##$ +@M###@@##HXM##@M#H-
..,,-=:;;+%XHH@@@MMM###MM#########MM@@@HM####M@@MX$#MMMHMHHM#M@M#@MXH###@MMMMX%$H$%M# #H%@M##MMH@M@M###@M#@=
..,,-=:::;;+$HM@@H@M#M###MMM######M#M#@XH@##MM#@HM#HHM###@MXH###MMM@@$H###@M@@@XH@X+/M##MH@M##MMH@M#####M###%.
..,-==::;;;+XHXXMMMM##MM##XHMMM@###MMMM@HXHM#M@#HX@#MM##M#@MHX#M#M@M@X%@MM#@MMMMMMHX %XM##MX@#MM@#M######MM##MM:.
.,,-=::;/+%$$XXHM######M##HHMMM@M###H@#M$%XH##MM@XHMM@M#M#$@HXM@M#MMM$+HM##MM#@MM@XH@HMM@ HX@#@@@M#######M###MH+..
..,-=:;/+++$H@M#####M#####MMMM@HM###@$XMX+%XM#@X@HHMM@@MM#$XXX@MMM@M#X+H@MM@MM@MM@@@@HMM HXXM#MMHM#MMM#######MHH::=.
.,,-=:;///%@#####M#M@@@@@M#MMMX$MM###X+@MXXH#MHX@MH@M@@@M#@HHHMM@@HM#X/HH@M@MM@MMM@@H@M#HXHMMMM$@#MMM###MM##M@@%/%-
..,-=:;///+H########MM@@@XHMMMMX%@MM##M$XM#@@#MXHMM@@@@HXHMM@@H@MHXH@MH$@H@#@MM@M@@@HX@##M @H@M#@$HMM@M###@@##M$H%:$+.
...,-=::;/;/XM###MMM####MM#MMMMM#@$$M####@XH##M##X$M#@H@HX$$HM@@HM@H$XH@MXXX@@HM@@M@H@HX@MM# M$XM#X%$MM@XMMMH@##M+H@++%/
...,--=:;/;;X####M########M########X$H@MMM#@HHMM##@X@MMHHH$$$$HHHXH@@%$XX@X$XH@H@H@MHHH$XM #MHMXX@M%++HMHXM@HHM##@+@#%,-H-
..,,-=:;;/;%M######M##MM########M##MHXXXXH@#MHX@##MHH@@H@HX$%%$$X$XH@%X$$@$%XXHHXXHHHHHXHM M$XMX%HM%+%@MH@@XH@M##@XM#$::H;
..,-=:;///%@##M#############M##MMM##@HXXHX$@#M$XM##@HHXXH@H$+//+$$$X@$X$%H++XX@X$XXXHHHXH@H$@@X+XMH$$H@X@H$H@@@MHX#MXXXMX,
.,-=:;///+H#@HM#############MM##M@MMHHXH@H%$@MHXHM#MHH$$HHHX+;:/%+%XH$%%$H++XHX%$$$XHHHHXHHH@@X$H@MX$X@XXX$H@H@MXH#MH@MHH:
.,-=;/+++$@H%$M#####M@M##########MMMHXXH@H$%%$XXXX@MHH$$XXXX%;-;//+HH%+%XH+%XX%+%%%XH$XHXXHHHHXH@@@HXX@$%$%XHH@H%H#M@@H+H%.
.,-:;/+++%XX%XM####M@XX@MMMM#######M#MHHH@HX$%%+%%/$MMHXXHX$X$/==::;H%/++X$+%X$+/+%$XX+$HX$XHH$$H$X@H$%@%%$$$$X@X%HM@@@XX#X-
.,-=:;///+%%$%H####@HHH@MM###########MM@$%$X$XXX/;;/+XMMHXX$$$%+:--=:X+;++++;+$%++/%$$$%$$$$XHX%$X+$HX+$H%$H$%%XM$+H@@@@XX@@;
..,=:;///+%+%$%@#MMM@@MMMM############M##HXHHXXXH+;///+HM@X$$$$%+;:-,=+;:+/;;;//++;:/%%%%%%$$$$++$$%$X%+H@X$X$$$XH$%XXH@@X%@#$.
.,-=:;///++%$%HM#MMMMM@@HH@HXM#MM###########MHX$X%+%+++$XHHX%%%%%++;--=-=/;=:;:;/+;:;/+%%+%%%+++%$%%$$$%HHX%X$$$$XX$%$HHHX$XX/.
.,,-:;;;/++%$%HM#####M@@@@MMH$@#@HMMM####MMM##M@M@$$$%++%%XX$%%++++++/;-.-:=-=:=::;:=::;/++++++%$$$%%%$%%XX$%$$$$X$X$%%XXXHXHH%,
... ..,-=:;;;//+%+X######MM########M@MMMM@X$@MMHXXXH@@@M@X%/;/+%%+++++%%%%//;,,,,,.,,---,,,--=:;;//+%%%%+++%++%$%%%$$$%XH$%%%%HM@MH%,
...,-=::;//+++$@##########M@MM#M@@###MMHHH@HXXX$%+%%%$$%+/:;+/////++++%//;=-,.....,,,,,..,,-=:;;///++//////////+%%%$$$$$%$X@HHM$+,
...,-=::;/++/%H######MMMM@XXX@HXXH@M#@@@M@XX%$X$%++/;;///+;;//;;;;;/;;//;;=-,.. ........,,-===:;/+/;;/::;;::;//+%$%%%$%$H@H@@$/-
..,,-=:;//+//X######@HXHHXXH@@$%XX$XHX$X@HHX$%%+//+/::==:::;;;:==:::==-===-,.. ...,,,,,-::;;;;;====--=::/++++%$XXHH@M$HX=...
..,,-=:;////$M#####M@@@@M@@@@H$$XX$$%$$X$$%%%%+/;::::=----===:=-------,,.,,... ....,--=:::=--,,,,,,-::;/+%$XXXH@@$X@;...
..,-=:;//+/+HMM##########MX%%XHHXX$%++$XX%/;/++/;:=--,,,,,,,,,,,........ .,,---,,.......,-=:;/++$$XH@HH%H%.
..,,=:;///+/%M##M########@HX%$@#X%$X$+++++%+///;;::=--,,,,... ...... .. ..,-=:;;/$XHH@@@$X$,
..,-=;//++//X###M#######@XX@HMMMHH@H$%%+/////;:====---,.,... .,,-:;/%XHHH@H$X$,
..,-=:;/+++;+@#####M###M@@@MMH@@@@@@X%+%///;::::=--,,,,..... ...,-:;+$HHH@HX+%;
..,-=;//++/;$######M##M@@M##@HHHHX$X$%%+/;;:===--,,....... ..,-=;%XHHH@H;+%.
. ..-=:/++++/;H#M######MHHMMMMHHHH$$$$$%+;;:===-,,......... ..,-=/$XHHHH;=%,
.. . .,-=;/+/++/+M#######MH@##MMMM@HXXHX%+/;;;:=-,,,,..... ..,-:+$XXHH$;%,
.. . ..,=:;++++/+X#######M@@####MMMHXH$$%+//;;;:--,,,..... ..,=;%$$XHX%$,
.. . ..,-=:/+++//$M#######@MM###MMMM@M@$+%+%+/;:=-,,,...... ..,-:/+$$HX/+=
.. . ..,-=;//+//%@#######MMMM###MM##MM@%+%$%+;:=--,...... ..,-:/%$XH%/-
. .. ..,-:;+////X@M#########MM######@X$$XH$+/::=-,,,..... ..,-=:+%X@%-.
...... .,-=;//+++%$HM################H%%@@$+;;;:==-,..... .,,-=/+$$,..
. ...,-:;/+++++%H#MM###########M@H%X@@%/++++;==-,,,... ..,,-:/$X=
. .. ..,-=;//+/++++H#MM#########MHHHXXHHX%$%+//;==-,,,... ..,,-=;%H/
.. ..,-=:;/++/+++%H#M#########MHHM@@HXXX$$++/;;;=-,,... ..,,,-:+X+,
.. ..,-=;/+++++/+$XM#######M#MH@##MH$XHH$$$%+/;:=-,,... ...,,-:/$;,
..... ..,-:;/+++++/+%X######MM#MMM#MMXX@@MMH$%+/;::==,,... ....,,=;$/-
.. ..,-=;///+/+/+%H#####MMMMMM##M@H@#MM@H%++/;:==-,,... ....,,-:%%=
. ...,-=:;////+/+$M######MMM#MMM@@M##M@HX%%%+/;:=--,... ....,,-=/X/
... ..,-=:;//+++/%HM###M##M@MM@@MM#MMMHXX%%+//;:==--,,.. .....,,-;X%.
. ..,-=:;//+++/%X@##@@##@@MMMM###MMHHHX$$%+/;:==--,,.. ....,,-;$+,
.... ..,-=:;/++++/%$@##MM#M@MM######M@H@@HXX%/;;;:=--,,.. ......,-:$%-
... ..,-=;//+++/+%$M####MMMMM##MMMMMMMM@HXX%/;/;:==-,... .. .......,=%H-
... ...,-:;/++++/+%H#####MM#MMM#MM#####MMHX$%///;:=-,,... .......,-+H;
... ...,-:;/++++/+X#####MMMM##########MMMHX$%+//;=--,,... .......,-;H%.
... ..,-:;/+++++%@####M@@M###########MM@HH%+++/;:=--,,.. ........,:HX-
... .,,-:;/+++/+%@##M#M@MMMMM#####M@M#MHHH++++/;==-,,,.. ........,:X@;
.... .....,-=://++++/%M######MHHM###M@H@@MM@HHXX$%/;:=-,,,... .........=%H+.
.... ..,-=;/++++/+X######@H@M###@HHMM##M@@HHX%/;:=-,,,... .........-%X+.
. ...,-=;/++++/+H#####M@@####@H@M####M@XXX$+/;:-,,,... .........-+X+.
... ...,-:;/++++++H@####MM####M@@M#####MHHHX%+;:=-,,,... .........,;@+.
... ...,-=:/+++++++$XM##MMM###MMM######MMMMH$%/:==-,,,... ..... ...:X:
... . ..,-=;/++++++%%%@#MH@#############M##@%%+;:=--,,,... ........:%,
. . ..,-:;/++++++%%+@#M@##############M#MH%%+;:=--,,,... ........:/,
. ..,-:;+++++++++/@###################@$%%/;:=-,,,.... .......=;,
. ..,=:;/+++++++//@################MMMH$%/;:=-,,,,..... .......=/-
. ....,-:;//++++++//H###M###########MHHXX%+;:=--,,,,...... .....,=;=
.. ....,-=://+++++++/H#M@M#########MM@HHX$%/;:=-,,,,,...... ......,=:=.
. ...,,-:;/+++++++/H#MM#########M@@@M@$%+;:==-,,,,,,...... .. ...,,,,=:,
...,-=:/+++++++/H#M##########MMM@@H%+/:==--,,,,,,.................... ...,,,-==.
. ....,-=:/+++++++/H##############MHH$++;:=---,,,,,,.........,,,,,....... ...,---:-
. .... . .,,=:/+++++++/H##########MM#MHHHX+/;:=---,,,,,,,.....,,,-----,....... ......... ....,-=::-
... . .,,-:/+++++++/XM##MM##MM@H@M@XHHX%/;==-,-,,,,,,,...,,--------,,...,,....,,-,-====-==-,,.. ....-==:;-
... .,-:/++++++++$@M@M##@@H$HM@MM@X$+/:=--,,,,,,,,,,,,,-=--,,---,,.. .,-=:=:;+////+/;==-,... .,.,,,,,,-=-==::;+/,
... ..,-:;++++++++%HM@M#MX$%%@MM#MHX$+;:=--,,,,,,,,,,.,,,,,,,,,-,,.. ...,==:::/%%%+/////;:-,.. ....,--=:;:::;::;;:=:;+%=
... ..,-:;+++++++++XM@@@@X%%XMMM#@XX$+/:--,,,,,,,,,,.,,,,,,,......... ..-:;;;;/++++//;;;;:=-,... ..,,,-=;;;/+++++//+/;:=:/%;,
... ..,-:;++++++++/XM@@H@X%XMM@H@HX$$+;:--,,,,,,,,,,,,,--,,,,,......... .,-;;;;;;;;;;;;:=::===-.., . .,,,-:////+%$$$%%%+/+/;;/+/,
... ..,-:;+++++++//%H@MM@H@#M@HHM@XX$/;=-,,,,,,,,,...,,,---,,,,..........,,=;;;;::::====-,------,,, ..,,--:/++/+%%%%%%$%++////+%;.
... ..,-=;/++++//::/+%@MMM##MHH@M@HH$/;=-,,,,,,,,.......,,,,.............,-======:;:==--,,,,,,...., .,,=::;;///++////+%+++/;///+:.
.... ....,-=;/++++/:==::/HM####M@MMM@@X%/:=,,,,,,,,,......................,,,-==:;;;;;=:==-,,......... .,-;;;;:;;;;;;;::;///;;;////-
..... ...,-:;/+///;:===-=$M####MM##M@HX%/:-,,,,,........................-==:/+$$$XX/---:==-,,......... ..-:;;::::;;;:----=:;/;::::;;,
..... ...,-=:;++;:;;::==-,+@#######MM@H$+;=-,,,,,............. ....,,-=//%XXHH+%@@/. .,=--,,,........ .,=:::;%$$$%;;;;:====:;:::;;-.
..........,-=;/+/===:::::=,;@#######MM@H$+:=-,,,,............. .....,-=:/+:+XX@X-:HH+. .---,,,... .... .,-=:/$@HH@@X:-;%$+/::=::::;;.
.........,-=:;/+;========:-;H######MMM@H$/:=-,,,,.......... ...,-=;+%=./XX@$-/@H+. .--,,... .. .,=,;H@@;/HXH; -%X$%+;:==:;:
......,--=:;//++:-=========+XXM####MMM@X%/:-,,,......... ...,,,-:/+= =$XHX%XH$:. .,.. . .-,.+@HM/%@XH+ =$XX%/::=:;=
.....,-=:;///+++=-======--=%/:XM###MM@H%//:-,,,......... ...,,,,-:/:,. ./$$XXHH;. . .,../HH@/%H$X+ .;%X%;::::;:
....,-=://++++%/--===::=-,-+:-%MMM#M@HX%+/:-,,,........ ..,,-,--:;=,,. ,;%$$$+. .,. ., -%XXXXXX$= ,-;X$/:===:;.
...,-=:/++++++%;,-===::=-,,;==%H@@M@@H$%%/=-,,........ .,,,,,-===--,..,::-=- .,,.,-, .. .,/%%$$XX: -=:%%+:==-;%.
..,-=:;+++++++%=,====::=-,.-;;+%XHHXHX$%+;=-,,....... ....,,,----=-,,.,. .. .,-,... ...=-=:=;+%;. .=:;/+/;=--;$.
..,-=:/++++++++--==::;:=-. ,:+++$X@HX$%/;:=-,,,..... .....,,,,-,,,,.,. .,....,,.. ..,,...,--,..,--=://;;:---;+.
.,,-=;/+++++++/--==:;;:=,. .=%+/$H@X+//;::--,,,,.... .......,....... ......,.. . .......,,,,,-==:::;;;;=,,,:/.
.,-=:;++++++++/---=:;;=-,...-+$$XX$%//;::=-,,,,..... . . ..... .. ...,,,,---,,,--=====::-,,,;%.
.,-=:;++++++++/---=;/:=-,...,/$%+/+%+/;==-,,,,,,.... .. .,..,,,,,,,,,,,,,---==,,,-;/.
,,-=:/++++++++/---=;;:=-....,;:--;%+;;:=--,,,,,,.... .. .,..,,,,,,,.....,,----,,,-==.
,,=:;/++++++++/---:/:=-,...,-;=-=/+/:::=--,,,,,,.... ,...,,,,,,......,,---,,,--,.
,-=:;+++++++++/--=;;:=-,..,-::=-=//;::=---,,,,,,.... . ,,...,,,........,,,-,,,,-,.
,-=;/+++++++++/=-=/;=-,,,,-=====:;;;::=---,,,,,,.... . .,....,.... ...,,,,,,,-,
,-=;/+++++++++/=-:/:-,,,---=--:;;;;;::=---,,,,,,,.... ... .,......... ...,,,.,,-,
,-=;/+++++++++/--;/:-,,-===-.,:;:;;;:==--,,,,,,,,.... ... ,-,. ..... ...,...,-=,
,-=;/+++++++++;=-;/=,,-===-, .::=:;;:==--,,,,,,,,.... ... .-,. ..... ...,....,=.
,-=;/+++++++++/==;/=,-====,. ,;=-:;::==-----,,,,,,.... .... .,,. . .......,=.
,-=;/+++++++++/==:;=,-====, -:--:;::===----,,,,,,..... .... ,-.. .......,=.
,-=;/+++++++++/==:;=--===-. -:--:::====----,,,,,,..... ..... ,-,. .....,=.
--=;/+++++++++/==:;:-====-,. -;-,=::====-----,,,,,,.... ..... .-,. ....,=.
--=;/++++++++%/:==;:===:==-. -:,,=::====------,,,,,,... ..... .--. ....,-.
--=;/++++++++++;==::==::::=,.-:,,:::====--------,,,,..... .... ,,, ..,,-.
--:;+++++++++++;==:::==:::=-,-:,-:::::==--------,,,,..... ....... .-,. ..,,-.
--:;+++++++++++/:=:::======-,=:--=::::=----------,,,,.... ....... .,,. ..,,-.
--:;/++++++++++/::::::=====--=:===::;:------------,,,,... ......... .. ..,-, ..,,-.
--:;/+++++++++++;::=::====---=:;==:::=------------,,,,... .............. .,,-. ..,,-.
-=:;/+++++++++++;::=:::===-,,=:;:=::==------------,,,,... ..,,,,.,,,...... ..,-. ..,,-.
,-=;/+++++++++++/;:::::=:=-,,,-::=::==---------=---,,,... ....,,,,,,,,,.. ..,,. ...,-.
,-=:/+++++++++++/;:========,...,,-=:===--------=---,,,... .,,,,,,,,,,,,. ..-. ...,=.
,-=:/+%+++++++%+/;:========-,. .,=:===--------==--,,,,... ,,,,,,,,,,,.... .,, ...,-.
,-=:;++++++++%%++/::==::==-,,.....=::=---------==--,,,,.. .--,,,,,,...... ,, ...,-.
,-=:;/+%+++++%%++/;:==::=-,,,,....=::=-----,,--==---,,,.. ,--,,,,........ .,. ...-,
,,-:;/+++++++++%%+/;::::=--,,,,...-:;=-------,-===--,,,.... .--,,,,... .. ,-. ..-,
,,-=:/++++++++++%++/;:;::=--,,,...,=;==--------==---,,,,... .--,,... ,-. .,-,
,,-=:/++++++++++++++//;;:==---,,,..-;:==-------------,,..... ,--,,.. ,=, ..,-. .
.,-=:;/+++++++++++++++/;::====-,,...:;:=---------=---,,..... ,--,.. .-=- ..,- .
.,,-=:/++++++++++++++++/;::===--,...=/:=--------------,..... ,-,,.. .. ,-=- ...-- . ..
.,,-=:/+++++++++++++++++;;:::==--,..-/;:=-------------,..... ,-,,.. .... --=- ...-, . ....... ...
.,,--=;/+++++++++++++++++/;;;;::=-,.-+/:==---------=--,,..... ,-,,,. .,,,,.. .-=-, ...,-. ...... .... ...
.,,,-=:;/+++++++++++++++++++++++;:=-=+/;===--------=--,,..... .,-,,.. ..,,-===,.. ,==-. ...,=. ... ...........
...,,-=:;+++++++++++++++%++++%$XXX%//%/;:===----------,,..... .,-,,,..,,.,,,,-==,.. .,-=-. ...,=. . .... ..........
....,,-=:/+++++++++++++++++++%$XH@@X$$+;:===----------,,,.... .-,,,,,,,......-=,.....,==--...... ....--. . . .. ...... ..
.....,--=:/++++++++++++++++++%$H@@@X$$+/::==----------,,,,... .,,,,--,.. ..-,,,,-==:=,,..............=, ........ ...........
.....,,,-=;/++%+++++%+%%++++++$@M@MH%$%/;:===---=-----,,,,.... ...,,... ..,,--=:==-,,....,,........:, . ......................
......,,,-=:;+++++%%%%%%++++++$MMMMH%$%+;::===--=-----,,,,.... ..,,,:==-,,.....,,,......,:. ........................
.......,,,-=:;//++++++++++++++X####@$%$+/;:===--==----,,,..... ...,-=--,,.....,-,.....,,- .... ...............
.......,,,,,--=:;;//+++++%++++H####M$%$%/;:::=--=-----,,,..... ..,,---,......,--,....,-- . ....................
..........,,,,,-==:;/++%%%++++H#####X%$%/;:::=--=-----,,,,,.... ...,---,,.....,--,....,-, .........................
.............,,,,-=;/+%%%+++++@#####H%%%+/;::==-------,,,,,.... ......,,,---,....---,,...-=...........................
...............,,-=:/+++++%++%@#####@+%%+/;::===------,,,,,.... .,.....,,,---,,...,--,....-:. ........................
..,,...........,,-=:/+++++%%+%@#####M%+%++;;::==-=----,,,,,..... .,. ...,,,-,,,,...,,-,,...-=. .........................
,,,,.,.........,,-=:/+%%%%%%+%@M####M%+%++/;::==-=----,,,,,..... .. .,.,,-,,,,,,.,,,,..,=, . .......................
,,,,,,.,.......,,-=:/+%+%%+%+%H@M###M%+%++/;;::===----,,,,.,..... .. ,.,,--,,,-,.,,,,,,,:,...........................
,,,,,..,.....,.,,-=:/+++%%%%%%$X@M##M$++++/;;;:===----,,,,........ ...,-,--,,..,,,,,,-=............................
,,,,,..,,,,,..,,--=;/+%%+%%%%%%$HMM#MX++++//;;:====---,,,,,,...... .. ..,,,,--,...,,,,,,==............................
,,,,,,,,,,,....,--=;/+%%%%%%%%%%XHMMMX%+/////;::===---,,,,,..,.... ,. ..,----,....,,,..,=-............................
,,,,,,,........,-=:;+%%%%%%%+%%%%$@M@X%+/////;;:===---,,,,........ .. ,,,---,......,..,-:, ...........................
,,,,,,...,...,,,-=:;/+%%+%%%%%%%%%X@@X%++////;;::===--,,,,....,... .,,... . .,-===::=,. .......,==.............................
,,,,,,,,,,,,.,,,-=:;/++%%%%+%%%%%%$XHX%+++////;::===---,,,,........ .----,,,.......,,,,--------,,,-=;;////:.. .......,=-.............................
,,,,,,,,,,,,.,,,,-=:/+++%++%%%+%%%%$XX%+++/////;::==---,,,,,........ .--======-----===:::::::::===:::;/++///:.. ......,-:, ............................
,,,,,,,,,,,,,,,,,--=;/++++%%%%%%%%%%XX%+++//////;:===---,,,......... .,-,,-=::::::::::::::::;;:::::;:::;;;;;/:.........,-=..............................
,,,,,,,,,,,,,,,,,,-=:;/+++%%%%%%%%%%$$%+////////;::==---,,,......... ......,-=====:========:::::::::====:::;/=........,,==..............................
,,,,,,,,,,,,,,,.,,,-=:;/++%%%%%%%%%%$$%+////////;;::=---,,,,........ .,,--=======--,,--====-----===:::;;=........,-:- .............................
,,,,,,,,,,,,,,,.,,,,-=:/++%%%%%%%%%%%%%+/////////;::==---,,,......... ..,----===--,,,,,--------=====::;;-.......,,-:. .............................
,,,,,,,,,,,,,,,,,,,,,-=;/+%%%%%%%%%+%$$+/////////;;::=----,,,......... ..,,,-----,,,.,,,,----,-=-===:::=,.....,,,-==. .............................
,,,,,,,,,,,,,,,,.,,,,-=:;/+%%%%%%%%+%X$+//;;//////;;:==---,,,......... ...,,----,,,,...,,,--,,---=:=::=-,.....,,,-:,...............................
,,,,,,,,,,,,,,,,.,,,,,-=:/+%%%%+%%%+XH%+//;;;//////;:===--,,,......... ..,,,-,,,,,,..,,--------=::::=-,....,,,,=: ...............................
,,,,,,,,,,,,,,,.,..,,,-=:;+++%%%%%++HH%+//;;;;/////;;::==--,,,......... ..,,,,,,,--,,,--------===:==-,,....,,,=:- ...............................
,,,,,,,,,,,,,,,,,..,,,,-=:/+%%%%%%%%X@%+/;;;;;;;///;;;:==--,,,......... ..,,,,,,---------=========-,,,....,,-=:.................................
,,,,,,,,,,,,,,,,,,..,,,-=:;+%%%%%%%%X@%+//;;;;;;;///;;;:==--,,,......... ...,,------===========---,,,,...,,--:-.................................
,,,,,,,,,,,,,,,,,,,.,,,--:;/+%%%%%%%X@%+//;::::;;;////;::==-,,,,........ ...,,---=---=====----,,,,,,,...,,-==, ................................
,,,,,,,,,,,,,,,,,,,,..,,-:;++%%%%%%%XH%+//;:::::;;/+///;::==-,,,,....... ...,,,,--------,,,,,,,,,,,...,,,-:-..................................
,,,,,,,,,,,,,,,,,,,,.,,-=:/+%%%%%%%%HH%+//;:::::::;/////;:==--,,,,........ ......,,,,--,,,...,,...,,...,,-=:, .................................
,,,,,,,,,,,,,,,,,,,,,,,-=;/+%%%%%%%%HH%+//;:::::::;;///+/;:==--,,,....... ..,,,,,,,.....,,.,,,,..,,,-:-...................................
,,,,,,,,,,,,,,,,,,,,,,-=:/+%%%%%%%%%HH%+/;;::::::::;//++//;:==--,,,........ .......,......,,,,,,,..,,-=:,...................................
,,,,,,,,,,,,,,,,,,,,,,-:;/+%%%%%%%%%HX%+/;;::::===::;//+//;;:==-,,,,....... ... ..,,,,,,,..,,-:-....................................
,,,,,,,,,,,,,,,,,,,,,-=:;+%%%%%+%%%$H$%+/;;::::====::;//++/;;:=--,,,,,..... ..,.,,,,..,-=:,....................................
,,,,,,,,,,,,,,,,,,,,--:;/+%%%%%+%%%$H$%+/;;:::======::;//++/;;:=--,,,,..... ...,,,,.,,=:-................................,....
,,,,,,,,,,,,,,,,,,,,-=:/+%%%%%++%$%$H$++//;:::======::;;//+/;;;:=-,,,,,,.... .,,,,.,-:=......................................
,,,,,,,,,,,,,,,,,,,,-=;/+%%%%%%%%%%$$$++//;::====-===::;//////;:==-,,,,,..... ..,..,,=:,......................................
,,,,,,,,,,,,,,,,,,,-=:;+%%%%%%%%%%%%$%+///;::====-=====:;//////;:==-,,,,..... ..,,,,-=-.................................,,,,,,
,,,,,,,,,,,,,,,,,,,-=;/+%%%%%%%%%%%%%%+///;::===----====:;//++//;:==-,,,..... ..,,,,==,..............................,,.,,,,,,
,,,,,,,,,,,,,,,,,,-=:;+%%%%%%%%%%%%%%%///;;::===-----===::;/++++/;::=-,,,,.... ..,,,=:-..............................,..,......
,,,,,,,,,,,,,,,,,--=;/+%%%%%%%%%%%%%%+///;:::===-------==:;;/++++/;;==--,,,..... ...,--:=.............................,.,....,,,,,
,,,,,,,,,,,,,,,,,-=:;+%%%%%%%%%%%%%%%+///;:::===--------==:;;/++++/;:==--,,,,.... ..,,--==,..........................,,.,.,,,,.,,,,,
,,,,,,,,,,,,,,,,-=:;/+%%%%%%%%%%$$%%++/;/;:::===---------==::;/++++/;:==---,,,.... ..,,-==,.....................,..,,,,,,.,,,.,,,,,,,
,,,,,,,,,,,,,,,,-=:;+%%%%%%%%%%%$$%+++///;;::==-----------==::;/++++/;::==--,,,.... ...,-=:-..........................,,,,,..,,,,,,,,,,
,,,,,,,,,,,,,,,-=:;/%%%%%+%%%%%%%$%+++/;;;::===------,-,---===:;/+++//;;::=---,,,...... . ..,,,=:=..........................,,.,,,,.,,,,,,,,,,
,,,,,,,,,,,,,,--=:;+%%%%%+$$%%%%%$$++//;;;::===-----,,,,,,--===:;///////;::==---,,,............ ...,,,-::-.........................,,,....,,,,,,,,,,,,
,,,,,,,,,,,,,,-=:;/+%%%%%%X$%%%%%$$%+////;::===-----,,,,,,---===:;;/++///;;::==--,,,,,.......... ...,,,-=:-,............,............,,,..,,,,,,,,,,,,,,
,,,,,,,,,,,,,--=;/+%%%%%%%$$%%$%%%$%%+///;::===----,,,,,,,,---===::;//+++//;;::==---,,,,,........... .. ....,--=;:,..,..........,,....,,,,,,,,,,,,,,,,,,,,,,,,,,
,,,,,,,,,,,,,-=:;/%%%%%%%$$%%$$%%%%%%+++/;;:===----,,,,,,,,,---====:;;/+++//;;;;:==------,,,,,,....................,-==:/;-,..........,.,.,,.,,,,,,,,,,,,,,,,,,,,,,,,,,,
,-,,,,,,,,,,--=:/+%%%%%%%%$%%$%%%%%%%%+++/;:===----,,,,,,,,,,----===::;//++//;;;;::======--,,,,,,,,,............,,,-==:;/+/:=,....,..,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
,-,,,,,,,,,,-=:;/+%%%%%%%%%%%$%%%%%%%%%++++;:=------,,,,,,,,,,-----===::;;/++////;;;;::::==--,,,,,,,,,,...,,,,,,---=:;/++++++;=,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
,,,,,,,,-,,--=:;++%%%%%%%%%$$$$$%$$%%%%%+++/;:=----,,,,,,,,,,,,,----====::;;/+///////;;;;;::=------,,,,,,,,,,---===:/+++//++%%+;=,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
-,,,,,,,--,--:;++%%%%%%%%%$$$$$$$$$$%%%%%++++;:=---,,,,,,,,,,,,,,,----====:::;////++///////;;:====-----------==::;/+%%+/+//+++%%/:-,,.,,,,,,,,.,,,,,,,,,,,,,,,,,,,,,,,,,
------------=;+%%%%%%%%%$%$$$$$$$$$%%%%%%+++++;:=-,,,,,,,,,,,,,,,,,,----====:::;;//++++//++///;;:::::::===::::://+%$$%+/+//%+++%%+/:-,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
---,------=:/%%%%%%%$$%%$$$$$$$$$$$%%%%%%%%%%%+;:=-,,,,,,,,,,,,,,,,,,----======::;;;//+++++++++//;;;;;;;;;////+/+$X$%+//++/+++%+%%%+/;=-,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
---------:;+%$%%%%$$%%%$$%%$$$$$$$%%%%%%%%%%%%%+/:=-,,,,,,,,,,,,,,,,,,-----=========::;//++//+++++++++++/+++++//%X$%%+/+%+///%$++%%%+++/:=,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
----,-=:;/%$$$%%$$$%%%$X$$%$$$$$$$%%%%%%%%%%%%%%+/:=-,,,,,,,,,,,,,,,,,,,-----=======-==:::::;;;//++++++/////;;;/%X%+++++%%+++%$+++%%%%%+++/:=,,,,,,,,,,,,,,,,,,,,,,,,,,,
----=:/+%%$$$$%$$$$%$$$XX$%%$$$%$$%%%%%%%%%%%%%%%%+;=-,,,,,,,,,,,,,,,,,,,,------====---=======::;;;;;;;:::::::;+%%%++/++++++++%%%+%%%%%%++%%+;:=-,,,,,,,,,,,,,,,,,,,,,,,
--:;/+%%%$$$$$$$$$%%$$$HX$%$$$$%$$%%%%%%%%%%%%%%%%%+;=-,,,,,,,,,,,..,,,,,,,--------============::::::::=:::=::/%%%%%+/+%+++//+%%%+%%%$$$%++%%%%+;:=,,,,,,,,,,,,,,,,,,,,,
=/+%%%%%$$$$$$$$$$%%XX$HH$%$$$$%%$$%%%%%%%%%%%%%%%%%+/:-,,,,,,,,,,..,,,,,,,----------==========:::::====:===:;+%%%%++++%++++++%%%+%%$$$$$%++%%%$%%+/:-,,,,,,,,,,,,,,,,,,
%%%%%%%$$$$$$$$$$$%%HH%XHXX$$X$%%$$%%%%%%%%%%%%%%%%%%+/;=,.,,,,,,,,.,,,,,,,,---------==========:::=========::/%%%%%+++%++++++++++++$$$$XXX$++%%%%++%%%/;=-,,,-,,,,,,,,,,
$%%%%%%$$$$$$$$$$$$%XX%XHXHXXX$%%$$%%%%%%%%%%%%%%%%%%%%+/:,,,,,,,....,,,,,,,,,---------====================:/+%%%%%++%%%%++%+++%++%$$$$HXX$%+++%%++%%$%%+/;=--,,,,,,,,,,
$%%%%$$$$$$$$$$%$$%%XH%$HH@H$X$%%$$%%%%%%%%%%%%%%%%%%%%%+/:--,,,,....,,,,,,,,,,----------=================:;+%%%%%+++%%$%/+%%++%%%%$$$$H%H$$%++++++%%%%%%%%+/;=-,,,,,,,,
$%%$$$$$$$$$%%%%$$$%$X$HH@@HX$$$%$$%%%%%$$$%%%++%%%%%%%%%++/;-,,,,,,,,,,,,,,,,,-,----------------========:;+%%%%%+++++%%++++%%++%%+%$%XX+H%%$%%++++++++%%%%%%%+/;:=--,,,
%%$$$$XX$$%%%%%%$$%+%HHHH@HHH$X$%$$%$$$$$$$%%%+++%%%%%%%%++++;:=,,,,,,,,,,,,,,,, ,,---------------=======:;+%%%%%%++++++%++++%%%%%%%%$$$%$@$$$%X%%%++++++%%%%%%%%%++;:==-
$$$$$$$$$%%%%$$+%%%XHHX$XMHXHXX$$$$$$$$$$$$%%%++%%%%%%%%%%%++++/:-,,,,,,,,,,,,,,,----,,,---------======:;+%%%%%%+++++++%++++%%%%%%%+%$%$$X$X+$H+%$%$%%%%%++%%%%%%%%%%+/;
$$$$$$$$$%+%%$+/%XHHX$%$H@XXX$$%$$$$$X$$$%%%%%+%%%++%%%+%%%%%++++/;=-,,,,,,,,,,,,----------------=====:/+%$%%%%%++%+%%%%++%++%%%+%%%%$%$$$$$%$$+X$+$$%%%$%++%$$$$$$$$$%%
$$$$$%%%$%+++++%$X$%$X$$HHXXXX$%XX%$$$$$%%%%%%%%%++%%%++%%%%%%++%%+/:=-,,,,,,,,,,,,,-------------===:;/+%%%%%%%%++%+%%%%++%%%%$%%%++%%%$$$$XX$%+$++$X$%%X$%%%%%$%$$$$$$$
$$$$%%+%$%//+%$$%$$%$HX$XHX$XX%%HH%%$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%++/:=--,,----,,,,,,-----------===;/+%%%%%%%%%+%%+%%++++%%%%$$%%%+%%%%$%%$$$$$$%+%$$+$X$%%%$XX%$X$$$$$
$%%$$$%++++%%%$$$XX%$H$$XHX$$$$XHX%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%++%+++/;;:--------,,-----------===:;+%%%%%%%%%%%%%%%%%+++%%%%%%$%%%%+%%%$%%%%%$%%%%$$%+$$$%%$$$X$XH$$$X$
%%%$$$+/+%$%+%$$XXX$$X$$XXX$%$XX$%%$$$$$%%%$%%%%%%%%%%%%%%%%%%%%%%+++++/+/;==----------------====:;+%%%%%%%%%%%%%%%%%%%++%+%%%%%%%%%++%%$$%%%%%%%%+%$$$X$%+$H%%$%HH$$XHX
$%%%%+%$X$%++$XXXXXX$$$$$$X$$%$$%+$XX%%$%%$$$%%$%%%%%%%%%%%%%%++++++++++%%%/:===----------=====:;+++%%%%$$%%%%%%%%%%+$X++++%%%%%%%%%%++%%$$$$$$$$%%%%+%%XX$$$/X$%@X%%$H$
$%+%+$XX%++%%$XX$XX$$$$$$$XX$%$$$$XH%+%$%%$$$$$$$$%%%%%%%%%%%%%+++++++++%%%+;;;; :===-----====:;/+%%%%%%%%%%%%%%%%%%%%XX++%+%%%%%%%%%%++%%%%$$%$$$$$$$%%%%$$$$%X$$H$%%XH$
$++%$X$%++%$$$X$$$$$$$$$$$XX$%$%%$X%/+$$%%$$$$$$$$%%%%%%%%%%%%%%++++++++++%+/++//;;:==--====:/++%++%%%%%%%$$$%%%%%%%$$%%+%%%%%%%%%%%%%+%%%%%%%$$$$$$$%%%$$%%$XXX$$$%%XX$
%+$X$%+%%%$$$$$$$$$$$$$$$$X$$$%%%%%/+$X$%%$$$$$$$$$%%$$%%%%%%%%++++++++++/+%+%/++++/::===:;;;%$++++%%%%%%%$$$%%%%%%%$%+%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$%$$$$$$$$XXXHX $XX$
+XX$%%%%%%$$$$$$$$$$$$$$$$$$$$%%%%%%$HX++%%$$$$$$$$%%$$$%%%%%%%+%%++++++++%%+%%+ ++/+;;;::+%+/%%///+%%%%%%%$%%%%%%%%$$$%+%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%$$$HHHHHX