▄█ ▄█▄ ▄████████ ▄█ ███ █▄ ▄█ ▄█▄ ▀████ ▐████▀ ▄██ ▄ ▄███████▄
███ ▄███▀ ███ ███ ███ ███ ███ ███ ▄███▀ ███▌ ████▀ ███ ██▄ ██▀ ▄██
███▐██▀ ███ ███ ███ ███ ███ ███▐██▀ ███ ▐███ ███▄▄▄███ ▄███▀
▄█████▀ ███ ███ ███ ███ ███ ▄█████▀ ▀███▄███▀ ▀▀▀▀▀▀███ ▀█▀▄███▀▄▄
▀▀█████▄ ▀███████████ ███ ███ ███ ▀▀█████▄ ████▀██▄ ▄██ ███ ▄███▀ ▀
███▐██▄ ███ ███ ███ ███ ███ ███▐██▄ ▐███ ▀███ ███ ███ ▄███▀
███ ▀███▄ ███ ███ ███▌ ▄ ███ ███ ███ ▀███▄ ████ ▄███ ███▄ ███ ███ ███▄ ▄█
███ ▀█▀ ███ █▀ █████▄▄██ ████████▀ ███ ▀█▀ ████ ████ ███▄ ▀█████▀ ▀████████▀
▀ ▀ ▀
** **
************** *****
**$$$$ **** $$*******
* $$$$$$$$$ $$* ** *$**
* $ $$$$$* $* *$$$$$$$$$**
* $$$$$$$$$$$$$ $$$$$$$$$**$$*
$$ $$$$$$$ $$$$$$$$ $$$$$$$$$$$$
*$ *$$$$$$$$$$$*$*$*$ *****$***
**$$ $$$$$$*$ ** [[[[[[[ [[[
**$**$$**$$$@@ [ ##### ## #
*$$$*****$$$$$$ ..### ###
**$$$$$$$$ [[$$ ## +++ ###
$$$$$$**[[ [[$$ # ##
$$$***#[ # ### # ##
$$$$$$ ##++ #+ ## ######
$$$$$# ### ## ##
$$$$$# ## ######
$$$### ## ## #####
$#$ # +## # ## ## #
$$$$ # +++#######
$$* ##############
*$$# # ++ ++++ ######
$$### ++### ## ++
$# +# #######+ +##+ ## ##
*#+ ## ++###+### + ###+ ##
## ##+# # ++ +++++## + #++## ##
##+# ## ++##+ ###++ ##++ #
##+ + ++ +##+ + +######## # #
###+ ++++## ++ # # ##+ ##
#### + ++ +++++# ## ##+ #
###++ + ##############+ +##+##
##+ ## ++#+ ++#########++## "
####+ +#+ +++###############
### ++++++#+++++##########
##+ ++ + ####+++++
## ++ +++ ## ++
##+ ++ +++++ + # # ##+++
# ++ + ++ ++@++ ++##### # ++
# + ####+ +++++++###++####+##
# + ####+ +++++++###++####+##
# + ###++ +++++######## #######
# +++ ####++++@ +++++++++### ### #
#+ #+ ###++++++++ ++++++# ##+++#
##+ + #### #####++++ ++++## ###++
##++ ###########++ ++++++# ## +
###+ ##########+++ #++# ##
#+ + +########++ ++##########
###+ # ###+++++ +++++#####
###+ + # ##+++ +++++#######
##++##+ ## ##++ ## ###########
##+##+ ### ###### ##### ###++++#####
## ## ## ## ###### ++ #+ ######
##+# ## ## ######+++++ ++ #######
### #+ ### ## ######## ## ####
######+ ## ##++ ##+ ## ## ##
+### ####+## ## + #+
##++ + ###### ## ##
+## ++ # +# @@@ #
+# + # ## ##
## + # # # #+
##+ # # # + #+
##+ # # ## ### ###
##+ + ### ## #### +##
#++ # ##+ +# ######## ####
##++ ## ## ++ #### #####
##++ ++ # +## ## ######
+# + +# +# +#+ ##### ######+
# + +# # +#+ ############ +##
# + ## +# +###+ ######### +###++ +#
##++ + # # # ### # #######++ #
##++ + # ## +### #+# #+#### #
##+ +## ## ## +###++# #++#### #
# + + +# # +#+++# #+++###+ #
# # # +++++ +#+++# #+++###++ ##
+# # # #####+ +#+++# #+++####++ #
# ## ### ###++ ++##+++# #+++#### #
######## ## ### ###++## ##++## #
### ## ## ## ########### #
##+ ### ##### ######### #
##### ### ##+ ## ## ### +
########## # ##++ +++###++++ +
########## # #++ ++##### ++++ ++
++## ++ ++ ## #+ ++### #++++ +
########### ## #+ ++++##+++++++ +
##+++ # #### ++ ++### #+++++++ ++
#+#### ##++ +++##+ #####++ + ++
##### + + ### ++++ ++### #####++ + ++
########### #++++ ++### #####++ + +
+###+ ##### ++ ++ + +# +# #++ + +
############## ## +### ++ ++
####+++++###+ ## ## ++ +++
#####+++##### ## ##+# ++
########+###++ # ### +
###### # ## # # ##++ +
## ## ## ## ## # # # ## +
#### # ++ # ## +# #+ +
## ++ # ## ##### ++
###### # +### ####+ +
# #### #### #####+ +
+#+ ## +#### ## ####+++ + #
## # ####### ###### ### ##
# ## # ### ######+++ ##
######### ##### ######+++ #
## # # ## # # # ## # #
## # + # ## +## + + +
# ### # # # ### #
# ###+++ #+ ## ++ #
## ##### ## ## ## ####
# ###### # ## # + +
# + + +# # # + + + +
# + ## # # + + + +
#+ ++## ## # # #+ +
#+ + + +# ### # +
# + + + # +# + +
# + + + # ### ##
# ###++ ## ## #
# # ## ####
# # #+ ###
## # ### ##
## # ## ##
### ## #
+## +##
## #
+# #
+#++ "
## + #
##+ ##
# # +#
#+ ###
+# + ++#
## + +#
## + +##
### #+#
#+ + #
## +##
#+ # # # +# #
##+ # # # ##
#+##+# ####+
______
,-~ _ ^^~-.,
,^ -,____ ^, ,/\/\/\,
/ (____) | S~ ~7
; .---._ | | || _| S I AM THE Z
| | ~-.,\ | |!/ | /_ LAW! _\
( | ~<-.,_^\|_7^ ,| _//_ _\
| | ", 77> (T/| _/' \/\/\/
| \_ )/<,/^\)i(|
( ^~-, |________||
^!,_ / /, ,'^~^',!!_,..---.
\_ "-./ / (-~^~-))' =,__,..>-,
^-,__/#w,_ '^' /~-,_/^\ )
/\ ( <_ ^~~--T^ ~=, \ \_,-=~^\
.-==, _,=^_,.-"_ ^~*.(_ /_) \ \,=\ )
/-~; \,-~ .-~ _,/ \ ___[8]_ \ T_),--~^^)
_/ \,,..==~^_,.=,\ _.-~O ~ \_\_\_,.-=}
,{ _,.-<~^\ \ \\ () .=~^^~=. \_\_,./
,{ ^T^ _ / \ \ \ \ \) [| \oDREDD >
^T~ ^ { \ \ _\.-|=-T~\\ () ()\<||>,' )
+ \ |=~T ! Y [|() \ ,' /
.-""""-.
/ j \
:.d; ;
$$P :
.m._ $$ :
dSMMSSSss.__$$b. __ :
:MMSMMSSSMMMSS$$$b $$P ;
SMMMSMMSMMMSSS$$$$ :b
dSMMMSMMMMMMSSMM$$$b.dP SSb.
dSMMMMMMMMMMSSMMPT$$=-. /TSSSS.
:SMMMSMMMMMMMSMMP `$b_.' MMMMSS.
SMMMMMSMMMMMMMMM \ .'\ :SMMMSSS.
dSMSSMMMSMMMMMMMM \/\_/; .'SSMMMMSSSm
dSMMMMSMMSMMMMMMMM :.;'" :SSMMMMSSMM;
.MMSSSSSMSSMMMMMMMM; :.; MMSMMMMSMMM;
dMSSMMSSSSSSSMMMMMMM; ;.; MMMMMMMSMMM
:MMMSSSSMMMSSP^TMMMMM ;.; MMMMMMMMMMM
MMMSMMMMSSSSP `MMMM ;.; :MMMMMMMMM;
"TMMMMMMMMMM TM; :`.: MMMMMMMMM;
)MMMMMMM; _/\\ :`.: :MMMMMMMM
d$SS$$$MMMb. |._\\\ :`.: MMMMMMMM
T$$S$$$$$$$$$$m;O\\\\"-;`.:_.- MMMMMMM;
:$$$$$$$$$$$$$$$b_l./\\ ;`.: mMMSSMMM;
:$$$$$$$$$$$$$$$$$$$./\\;`.: .$$MSMMMMMM
$$$$$$$$$$$$$$$$$$$$. \\`.:.$$$$SMSSSMMM;
$$$$$$$$$$$$$$$$$$$$$. \\.:$$$$$SSMMMMMMM
:$$$$$$$$$$$$$$$$$$$$$.//.:$$$$SSSSSSSMM;
:$$$$$$$$$$$$$$$$$$$$$$.`.:$$SSSSSSSMMMP
$$$$$$$$$;"^$J "^$$$$;.`.$$P `SSSMMMM
:$$$$$$$$$ :$$$;.`.P'.. TMMM$$b
:$$$$$$$$$; $$$$;.`/ c^' d$$$$$S;
$$$$$S$$$$; '^^^:_d$g:___.$$$$$$SSS
$$$$SS$$$$; $$$$$$$$$$$$$$SSS;
:$$$SSSS$$$$ : $$$$$$$$$$$$$SSS
:$P"TSSSS$$$ ; $$$$$$$$$$$$$SSS;
j `SSSSS$ : :$$$$$$$$$$$$$SS$
: "^S^' : $$$$$$$$$$$$$S$;
;.____.-;" "--^$$$$$$$$$$$$$P
'-....-" bug ""^^T$$$$P"
__ ,..---.._
+''''`--''-..`--..__
.\ _,/:i--._`:-:+._`.``-._
/`.._,,' \ `-.``--:.b....=.
|`..__,,..`. '`.__::i--.-::_
)- .....--i'\.. --+`'''-'
,' .'.._,.-'|._-b\
/,'<' V `oi| \\ _.
|/ -|,--.." ,'-. ||\.. _.,;:'_<'
''/ | . ' |\||'\ /-'_/' `.
|,','| , . .-.|:.`. + .,:.. |
._,:'/ /-\ '^' -Y"\\ |.| || /,+8d| |
.|/,'| |/':: ':=:' ,'| | | \\|| "+)=' |
|+,';' /|_/ \ _/ \b':.\ \'| .|| ,'
,,:-i''_i' | ``-.Y',. ,|`: | \;- | |_,'
__ |'| |i:'._ ,' ,' ,; | |-)-' __--:b__
.P| | |/,'|\ - ._ / / _,Y- ,:/' `. `'".._
,'|| -','' | ._i._ `':| ,..,' ,Y;' \ `- ._
|||||,.. | \ '-.._ _,' / _,b-' `. '-.
||||P..i, .| '....,-' _,'''''-''' ' _,.. `\
+'` <'/ |`-.....---' ._ ,._
| | ,'``,:-''''/,--`.
Y|.b_,,: | || ,;,Y' / |.
,' /'----' .'| .. | | '" .`Y' .,-b_....;;,.
|+|,' | | \., ' ,' `:. _ ,/__` _=: _,'``-
/ +,' | /\_........:.' '"----:::::'Y .'.| |||
|' ' .'/- \\ /'|| || | |||
||| /| \L /'|| ||/ | |||
`.| ,'/ .| / ,'||/o;/ |||
`..._,, | |/| ' |||
``-' | |, |||
| ,. | |||
,=--------.... | "" | |||
,/,'. i=..+._ ,.. '..;---:::''- | |
'/| __....b `-''`---....../.,Y'''''j:.,.._ | `._
.' _.Y.-' `.. ii:,'--------' | :-+. .| | b\
| .=_,.---'''''--...:..--:' / _..-----..:= | | '|\
| '-''`'--- ---'_,,,--'' `,.. | | \.
\ . ,' _,--'' :dg: _,/ ||| | \
`::b\` _,-i,-' ,..---' ,|:| | _|
`'--.:-._ ____,,,;.,'' `--._ '''''''' |'|' .' '
``'--....Y''-' `''--..._..____._____...,' | 'o-'
`''''`'''i==_+=_=i__
||'''- ' `.
`-.......-''
</div>
________________________________
/ "-_
/ . | . \
/ : \ | / : \
/ '-___-' \
/_________________________________________ \
_______| |________________________--""-L
/ F J \
/ F J L
/ :' ': F
/ '-___-' /
/_________________________________________--"
.,,uod8B8bou,,.
..,uod8BBBBBBBBBBBBBBBBRPFT?l!i:.
,=m8BBBBBBBBBBBBBBBRPFT?!||||||||||||||
!...:!TVBBBRPFT||||||||||!!^^""' ||||
!.......:!?|||||!!^^""' ||||
!.........|||| ||||
!.........|||| ## ||||
!.........|||| ||||
!.........|||| ||||
!.........|||| ||||
!.........|||| ||||
`.........|||| ,||||
.;.......|||| _.-!!|||||
.,uodWBBBBb.....|||| _.-!!|||||||||!:'
!YBBBBBBBBBBBBBBb..!|||:..-!!|||||||!iof68BBBBBb....
!..YBBBBBBBBBBBBBBb!!||||||||!iof68BBBBBBRPFT?!:: `.
!....YBBBBBBBBBBBBBBbaaitf68BBBBBBRPFT?!::::::::: `.
!......YBBBBBBBBBBBBBBBBBBBRPFT?!::::::;:!^"`;::: `.
!........YBBBBBBBBBBRPFT?!::::::::::^''...::::::; iBBbo.
`..........YBRPFT?!::::::::::::::::::::::::;iof68bo. WBBBBbo.
`..........:::::::::::::::::::::::;iof688888888888b. `YBBBP^'
`........::::::::::::::::;iof688888888888888888888b. `
`......:::::::::;iof688888888888888888888888888888b.
`....:::;iof688888888888888888888888888888888899fT!
`..::!8888888888888888888888888888888899fT|!^"'
`' !!988888888888888888888888899fT|!^"'
`!!8888888888888888899fT|!^"'
`!988888888899fT|!^"'
`!9899fT|!^"'
`!^"'
████████████████████████████████████████
████████████▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀█████████
█████▀▀░░░░░░░░░░░░░░░░░░░░░░░░░▀███████
████░░░░░░░░░░░░░░░░░░░░░░░░░░░░░░██████
███▀░░░░░▄▄▄░░░░░░░░▄▄▀███▄▄░░░░░░░█████
██░░░░░░▀▀▀███▄▄░░░█▄▄█▀█▀▀▀▀░▀░▄▄░▀▀███
█░░▄▄░▄▄░▄░░░█▀░░░░░░░░░░▀▄▄▄█▀▀▄░▀█░░▀█
█░░░░▄░▀▀░░▄█▀░░░░░░▄▄░░░░░░░▄▄▀██▄░█░░█
██░░░██░░░▀▀█▄░░░▀▀▀▄▀░▄▄▄███▀░▄█░░░▀░▄█
██▄░██▀█▀▄▄▄▄▄█▄▄▄▄▄▀▀█▀░░▄███▀█▀░░░▄▄██
███░████▄█▄░░█░░▄█░░▄▄███▀▀▀█▄▀░░░░▄████
███░▀██████████████▀▀▀▀█░░░▄▀▀░░░░▄█████
███░░██▀█▀██▀█▀░░▀█░░░░█▄█▀░░░░░▄███████
███░░░░▀▀▀██▄██▄▄██▀▀▀▀▀░░░░░▄▄█████████
██▀░░░░░░░░░░░░░░░░░░░░░░▄▄▄████████████
██▄░░░░░░░░░░░░░░░░░░▄▄█████████████████
████▄░░░░░░░░░▄▄▄▄▄█████████████████████
████████████████████████████████████████
211_1_1____2¶¶¶¶66¶¶¶¶¶¶¶88¶88__¶888¶¶2________126
__________¶¶¶¶¶12¶¶¶¶¶8¶¶¶866¶612¶8¶¶¶6_1_________
211_1___6¶¶¶¶¶¶¶¶¶¶¶¶¶¶866¶¶66¶822¶¶8886681_______
1111____2¶¶¶¶¶¶¶¶¶¶¶¶¶¶8688¶¶8_8¶2168¶61126_______
21___268¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶8¶¶¶¶¶¶68¶6_188__666______
11__12¶¶¶¶¶¶228¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶68¶2_26¶2_2861____
1__16¶¶¶¶¶6___¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶61¶¶_¶¶6¶____122__
1__8¶¶¶¶¶6____6¶¶¶¶8¶¶¶¶¶¶¶¶¶¶¶¶218¶18¶61¶1______1
2186¶¶¶¶2_1____28682¶8¶8¶¶¶¶¶¶¶¶¶_68266¶1_2¶1_____
6862¶¶¶¶__1_____6___26_16¶8¶¶¶8__¶211612¶8_¶¶81886
¶88¶¶¶¶81_1____12________________¶¶1_11_6¶_2¶¶2___
6¶¶¶¶¶¶6__2____1________________2_88_2_1_¶1¶8661__
1_¶¶¶¶¶2__8______________________1¶22____¶688¶¶12_
_2¶¶¶¶¶8__21_1_11_____________1__¶__11_1_¶81¶¶¶1__
_2¶¶¶¶¶¶1_2621_1________________18___26__2¶2_¶¶___
28_¶¶¶¶¶1__262_____1_______1_____2___1611_8¶126___
8__¶¶¶¶¶2_282_______________1____2___62_2__2¶¶6___
__2¶8¶8¶6_6¶¶¶8182______________622__16__12__82___
__¶2_2¶¶¶_6¶¶¶¶¶¶¶¶12__61_2¶¶¶¶¶¶¶¶66_6___¶¶21112_
1_81__8¶¶__6¶¶268¶¶¶¶61¶¶¶¶¶¶¶2_18¶¶1__1_2¶¶¶2_1_1
8_22__1¶¶1__6¶¶¶¶¶¶¶¶_____¶¶¶¶¶¶¶_1¶____1¶¶¶¶8____
1_22__1¶¶8____6¶¶¶2__________81___6______¶¶¶¶¶2___
_______¶¶¶2_______________________2______626¶¶6___
_______8¶¶6_______16__________________1__¶¶¶¶8¶81_
_____686¶¶¶¶2___12______________________¶¶¶¶8¶¶¶86
___2¶¶¶¶8¶¶¶6_____26_______________16___¶¶¶¶¶¶¶¶¶6
86¶¶¶¶¶¶¶¶¶¶¶¶221__2¶881__________22_____¶¶¶¶¶128¶
¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶882_16_____¶¶¶21____1_1¶¶¶¶¶228¶
¶¶¶¶¶¶¶¶8¶¶¶¶8¶¶¶8¶¶¶¶¶¶¶¶¶62¶¶¶8___2___¶¶¶¶¶¶86¶¶
¶¶¶¶¶¶¶¶¶¶¶¶¶8162__6¶¶¶¶¶¶66_______6____¶¶¶¶¶¶66¶¶
¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶66___88¶88________¶¶____¶¶¶¶¶¶862¶¶
¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶6¶1____________¶¶¶1___¶¶¶¶¶¶¶¶626¶
¶¶¶¶¶¶¶8¶¶¶¶¶2¶8¶¶¶2_________2¶81___2¶¶¶¶¶¶¶¶86618
¶¶¶¶¶¶8¶¶¶¶¶¶2¶¶¶¶8¶¶¶8¶622¶¶¶_____6¶¶¶¶¶8¶¶¶8288¶
¶¶¶¶¶¶¶¶¶¶¶8¶¶8888¶628¶¶¶¶¶2¶¶6____1¶¶¶¶¶8¶¶¶8¶¶¶¶
¶¶¶¶¶¶¶¶6¶¶8¶¶2666866¶¶¶¶¶¶_¶¶¶____6¶¶¶¶¶8¶¶68¶¶8¶
¶¶¶¶¶¶¶¶68¶6¶¶668628¶¶¶¶¶¶82¶¶¶¶__1¶¶¶¶¶62¶¶68¶¶88
¶¶¶¶¶¶¶¶6¶¶¶¶¶¶6666¶¶¶8¶2118¶¶¶¶6_8¶¶¶¶¶128¶6¶¶¶¶¶
¶¶¶¶¶¶¶¶¶¶¶88¶¶862¶¶¶8¶¶2826¶¶¶¶¶¶¶¶66¶¶16¶¶¶¶¶¶¶8
¶¶¶¶¶¶¶¶8¶¶¶2¶¶¶8¶¶¶28¶¶¶¶_2¶¶¶8¶¶¶22¶¶618¶¶¶¶¶¶¶¶
¶¶¶¶¶¶¶¶82¶¶28¶¶¶¶8_28¶¶¶2__¶881_¶618¶¶12¶¶¶¶¶¶¶¶¶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠿⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿
⣿⣿⡏⠁⠀⠀⠀⠀⠀⣀⣠⣤⣤⣶⣶⣶⣶⣶⣦⣤⡄⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿
⣿⣿⣷⣄⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡧⠇⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣾⣮⣭⣿⡻⣽⣒⠀⣤⣜⣭⠐⢐⣒⠢⢰⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⡟⣾⣿⠂⢈⢿⣷⣞⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣷⣶⣾⡿⠿⣿⠗⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⠋⠉⠑⠀⠀⢘⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡿⠟⢹⣿⣿⡇⢀⣶⣶⠴⠶⠀⠀⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡿⠀⠀⢸⣿⣿⠀⠀⠣⠀⠀⠀⠀⠀⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠹⣿⣧⣀⠀⠀⠀⠀⡀⣴⠁⢘⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿
⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⠗⠂⠄⠀⣴⡟⠀⠀⡃⠀⠉⠉⠟⡿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠾⠛⠂⢹⠀⠀⠀⢡⠀⠀⠀⠀⠀⠙⠛⠿⢿
⢸⠉⠉⠉⠉⠉⠉⠉⢸⠀ ⠀⢸⠉⠉⠉⠉⠉⠉⠉⠉⡷⠀
⢸⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⢸⠀⠀⠀⠀⠀ ⠀ ⡇
⢸⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⡇Teleporting
⢸⠀⠀⠀⠀⢀⠖⠒⢸⠀ ⠀⢸⠒⠒⢤⠀⠀⠀ ⠀⡇again, son?
⢸⠀⠀⣀⢤⣼⣀⡠⢸⠀ ⠀⢸⠤⠤⠼⠤⡄⠀ ⠀⡇
⢸⠀⠀⠑⡤⠤⡒⠒⢸⠀ ⠀⢸⠒⡊⠙⡏⠀⢀ ⠀⡇
⢸⠀⠀⠀⠇⠀⣀⣀⢸⠀⠀ ⢸⣀⣀⢀⠧⠟⠁⠀ ⡇
⢸⠀⠀⠀⠸⣀⠀⠀⢸⠀⠀ ⢸⠈⢉⠟⠓⠀⠀⠀⠀⡇
⢸⠀⠀⠀⠀⠈⢱⡖⢸⠀⠀ ⢸⠋⠁⠀⠀⠀⠀⠀⠀⡇
⢸⠀⠀⠀⠀⣠⢺⠧⢸⠀⠀ ⢸⢄⣀⠀⠀⣀⣀⠀⠀⡇
⢸⠀⠀⠀⣠⠃⢸⠀⢸⠀⠀ ⢸⠀⠈⠉⡽⠿⠯⡆⠀⡇
⢸⠀⠀⣰⠁⠀⢸⠀⢸⠀⠀ ⢸⠀⠀⠀⠉⠉⠉⠀⠀⡇
⢸⠀⠀⠣⠀⠀⢸⢄⢸⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⡇
⢸⠀⠀⠀⠀⠀⢸⠀⢸⠀⠀ ⢸⢇⠀⠀⠀⠀⠀⠀⠀⡇
⢸⠀⠀⠀⠀⠀⡌⠀⢸⠀⠀ ⢸⠈⡆⠀⠀⠀⠀⠀⠀⡇
⢸⠀⠀⠀⠀⢠⠃⠀⢸⠀⠀ ⢸⠀⡇⠀⠀⠀⠀⠀⠀⡇
⢸⠀⠀⠀⠀⢸⠀⠀⢸⠀⠀ ⢸⠀⠁⠀⠀⠀⠀⠀⠀⠷
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢀⠤⠄⠒⠒⠈⠉⠉⠉⠉⠐⠒⠒⠒⠂⠤⣤⡄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢻⠒⠤⢀⣀⣀⡀⠄⠄⠠⠠⠤⠤⠤⠒⠊⡸⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠸⡀⠄⠄⢀⠄⠂⠄⠄⠄⠄⠄⠄⠄⠄⡰⠁⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠱⡀⠈⠄⠄⢀⣀⣤⣊⣀⣀⣀⠄⡰⠁⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠻⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠃⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢹⣫⣙⣛⣛⣛⣿⣟⣻⡻⠃⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⣿⡟⣯⣽⣾⣿⣟⣻⠁⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⣨⣿⣿⣿⣿⣗⣹⡇⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⣀⡼⠋⠈⠉⠉⠉⠉⠉⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢀⡠⠞⠉⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢀⣠⠶⠋⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⢀⣠⠴⠛⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⢀⣀⣀⡤⠤⠖⠛⠉⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠉⠉⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄oil floats on water⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⠄⠄⠄⠄⠄
⣿⣿⣿⣿⣿⢟⣯⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣵⣿⣿⣿⣟⣽⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⠄⠄⠄⠄⠄
⣿⣿⣿⣫⣶⣿⣿⣿⣿⠿⣋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣯⣾⣿⣿⣿⡿⣋⣷⣿⣿⣿⣿⣿⣿⠄⠄⠄⠄⠄
⣿⣿⣿⣿⣿⣿⣿⠿⣫⣾⣿⣿⣿⣿⣿⣿⡿⣻⣿⣿⣿⣿⣿⡿⣫⣾⣿⣿⣿⡿⢫⣾⣿⣿⣿⣿⡿⣻⣿⣿⠄⠄⠄⠄⠄
⣿⣿⣿⣿⡿⢟⣵⣿⣿⣿⣿⡿⠿⣛⣻⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⡿⣛⣫⣽⣾⣿⣿⣿⡿⢟⣭⣾⣿⣿⣿⠄⠄⠄⠄⠄
⣿⣿⣿⣿⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣭⣴⣾⣿⣿⣿⣿⣿⣿⠄⠄⠄⠄⠄
⣿⣿⣿⣿⣿⣿⡿⣻⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠄⠄⠄⠄
⣿⣿⣿⣿⣟⣯⣾⣿⣿⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⡿⣫⣿⣿⣿⣿⢫⣾⣿⣛⣿⣿⣿⢻⣿⣿⣿⠄⠄⠄⠄⠄
⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⣿⣿⣿⣿⣵⣾⣷⣿⣟⣿⣞⣽⣿⣟⣾⡿⣫⣞⣿⣿⣿⣿⠄⠄⠄⠄⠄
⣿⣿⣿⠟⠉⡉⡉⣶⠤⠄⠤⠹⠯⠭⠝⠛⠻⢿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⢷⣭⣾⣿⣶⣿⣿⣿⣿⠄⠄⠄⠄⠄
⣿⣿⠏⠄⠄⢘⣥⣤⡤⢄⡀⠄⠄⢂⣀⣈⠄⠄⢿⣿⣿⣿⣷⣾⣿⡿⣿⣿⢟⡿⣷⣿⣿⢿⣿⣿⢿⣽⣿⣿⠄⠄⠄⠄⠄
⡿⢋⡤⣲⠬⣘⣫⠽⠛⠺⠓⠄⢲⠟⠛⡋⣉⣁⡄⢽⣿⣿⣿⣿⣿⣿⣿⣽⣿⣵⣿⣿⣿⣾⣿⢍⣾⣿⣿⣿⠄⠄⠄⠄⠄
⡤⠻⠐⢯⡓⢦⣄⣀⡀⣖⠦⠄⡈⣹⠦⠍⣡⣧⠈⡾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠄⠄⠄⠄⠄
⠘⢶⠄⠈⢿⣹⢷⣤⣼⡉⠓⠒⠛⡗⠒⣎⣯⣿⢸⠁⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠣⡀⠄⠙⠦⣀⡏⠙⠛⡟⢻⡿⢿⢿⣿⡿⢸⡀⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠈⣒⣷⣣⠔⢭⠙⡒⠳⠾⠶⠟⢛⠩⠄⠘⡁⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⣠⠟⠁⣿⠈⠿⡷⢦⣈⣁⠄⠄⠄⠄⠄⠁⣰⠃⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⡴⠛⠁⠄⠄⣷⠄⠄⠙⢦⠄⠄⠉⠉⠓⠒⠊⠉⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⣿⠄⠄⠄⠈⢷⡀⠄⣀⠄⡄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⡿⠄⠄⠄⠄⠄⢧⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄wait for it to rain
⠄⠄⠄⠄⢸⡇⠄⠄⠄⠄⠄⠄⠄⠄⠄⠁⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠸⠇⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ cover yourself in oil
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢀⣤⠖⠒⠒⣒⠶⠒⠒⠲⠶⠒⣶⣶⣤⠤⣤⣀⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⡰⠟⠄⠠⣐⠹⠦⠉⠒⠒⢀⠁⠐⠒⠂⠤⠄⠍⡀⠓⢦⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⣠⡞⠄⠄⠄⣀⢨⣾⣿⣿⣛⡳⣦⠄⢀⣘⣤⣴⣦⣦⡄⠄⢘⢧⣀⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⡜⠋⣴⠞⢻⡛⠶⠦⠴⠞⠄⠈⠙⠋⠄⠈⢹⡉⠉⢀⣀⣴⠶⠕⡁⣿⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢇⠄⢧⠒⢻⡉⠓⢶⣄⣀⡀⠐⣟⣫⣤⠄⠈⣹⠷⠄⡈⢁⣧⢐⡣⡿⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⣴⠻⣆⠄⠄⠙⣯⢻⠷⣦⣤⣿⡉⠛⢛⠒⠻⣶⠒⢺⣏⣿⣿⠄⣿⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠘⢧⡈⠄⠈⠛⣄⡀⣹⠟⠛⠛⢿⠿⢿⣿⢿⣿⣿⣿⣿⠄⣿⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⣴⠄⠄⠹⢶⣗⣴⡢⠉⡛⠶⢤⠤⣿⣀⣼⣡⡼⣥⠿⠾⠃⠄⢈⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠚⠄⠄⠄⠈⠉⠘⠚⠮⣍⡐⠄⠂⠤⠉⠙⠓⢒⢀⡨⢒⡴⣼⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢀⡴⢛⠟⠛⢿⠶⠤⣤⣀⣄⣀⣠⣷⠞⠁⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠚⠄⠄⠄⠄⠄⠄⡴⠋⢀⡞⠄⠄⠄⢷⣄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⣹⠄⠄⠄⢀⣤⠚⠄⠄⡼⠃⠄⠄⠄⠄⠙⠳⣤⡀⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢀⡾⠃⠄⠄⢰⡇⠄⠄⠄⠄⠄⠄⠄⠈⣧⠄⠄⠄⠚⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠈⠁⠄⠄⠄⢸⠁⠄⣴⠄⠄⠄⠄⠄⠄⠈⠄⠄⠄⠄⠚⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢼⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⣏⠚⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠘⡆⠄⠄⠄⠄⠄⣏⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⣴⠄⠄⠄⡇⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⣴⠄⠄⣠⣿⣀⠄⠄⠄⣹⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢠⠋⠄⠄⠄⠙⢶⡄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢰⠟⠄⠄⠄⠄⠄⠄⠹⣄⠄⠄⠄⠄⣧⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⣠⠏⠄⠄⠄⠄⠄⠄⠄⠄⠙⢷⡀⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⣰⠏⠄⠠⠄⠠⢤⣤⡴⠄⣀⣄⠈⣷⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢀⢀⠄⠏⠄⠄⠐⠃⠄⠙⠛⠛⠛⠛⠛⠄⠈⠐⠛⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⣀⣀⠄⠄⠄⠄⠄⠄⠄⠘⠶⠤⠤⠄⠄⠄⠄⢀⠄⢀⠄⢀⣀⣀⡀⠄⠄⠄⠄⠄⠄⣀⢀⣀⣀⣠⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠉⠉⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢴⣴⠶⠚⠉⠁⠘⠓⠋⠉⠉⠄⠄⠄⠄⠄⠄⠄⠉⠉⠉⠉⠉⠄⠄⠄⠄⢶⣤⣠⡖⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠐⠂⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢀⣠⠗⠄⠄⠄⠖⡭⠭⠿⢅⡠⡀⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⡀⠄⠄⠄⣄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠰⠾⢿⠄⣄⣀⣸⢸⣸⠄⠄⢂⠱⢆⡄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⡈⠉⠄⠄⠄⠁⣲⠆⣀⣀⣀⠄⠄⠄⠄⠄⠄⠄⠄⢈⣱⣟⢥⣿⡸⠤⢆⡀⠄⡰⠌⡁⠠⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠈⠄⠄⠠⠄⠄⠙⠃⠉⠓⠂⢓⠦⣤⣆⡤⠴⡒⠒⠚⠉⢀⣰⠈⢶⣧⠄⢳⣄⣠⡖⠃⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠉⠄⠄⠄⠄⠛⠻⠶⠤⠤⠛⠙⠂⠉⠁⠄⠄⠄⠄⠄⠃⣿⣄⠄⠢⠓⠈⢛⠕⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠗⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢀⠄⠄⠄⠠⢀⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄fly⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⣠⡄⠄⠄⠄⠄⠄⠄⠄⠄
⠄⣤⣤⣤⣤⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⣿⡇⠄⠄⠄⠄⣿⣿⡿⣷
⠄⣿⣾⡤⣿⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⣶⣾⣿⣿⣷⣶⠄⠄⣿⣿⡗⣿
⠄⣿⣾⣶⣟⣀⣤⣤⣤⣾⢿⡿⣿⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⣠⣶⣦⣶⣶⣤⣿⣿⣏⣹⣏⣿⠄⠄⣿⣿⡗⣿
⣠⣿⣿⣦⣿⢿⣹⣏⣿⣿⢾⡷⣿⠄⠄⠄⠄⠄⠄⠄⣶⢶⡷⣷⡆⠄⠄⢹⣧⣿⣿⣤⣿⣿⣿⣯⣹⣏⣿⠄⠄⣿⣿⣿⣿
⣹⣿⣿⣿⣿⢿⣉⣯⣹⣿⢾⡷⣿⠄⠄⣤⣶⡦⠄⠄⣿⢻⡗⣿⠄⠄⠄⢺⣍⣿⣿⣉⣿⣿⣿⣏⣹⣏⣿⣆⣰⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣾⣷⣿⣄⢀⣿⣿⣤⠂⠄⣿⢻⡟⣿⡆⠄⠄⣼⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⣤⣤⣄⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠖⠊⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠲⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡤⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⡀⠈⠀⡀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠘⡆⡜⠁⠀⠀⠀⠀⢧⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⣀⣤⡂⠀⠇⠱⠀⡀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠈⢄⡀⢠⣟⢭⣥⣤⠽⡆⠀⡶⣊⣉⣲⣤⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⡀⠀⠐⠂⠘⠄⣈⣙⡡⡴⠀⠀⠙⣄⠙⣛⠜⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⢦⡀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠄⠊⠀⠀⠀⠀⡸⠛⠀⠀⠀⢸⠆⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠦⢄⣘⣄⠀⠀⠀⠀⠀⠀⠀⡠⠀⠀⠀⠀⣇⡀⠀⠀⣠⠎⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠈⡟⠒⠲⣄⠀⠀⡰⠇⠖⢄⠀⠀⡹⡇⢀⠎⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⡇⠀⠀⠹⠀⡞⠀⠀⢀⠤⣍⠭⡀⢱⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⠞⠀⠀⢠⡇⠀⠀⠀⠀⠁⠀⢴⠥⠤⠦⠦⡼⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣤⣴⣶⣿⣿⡟⠁⠀⠋⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠑⣠⢤⠐⠁⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠬⠥⣄⠀⠀⠈⠲⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⠀⠀⢀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠦⠤⢤⣄⣀⣠⠤⢿⣶⣶⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣤⣀⣀⣀⣀⣀⣀⣀⣤⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀
⣿⣿⣿⣿⣿⣿⡿⠛⠋⠉⠄⠄⠄⠄⠄⠄⠄⠄⠄⠈⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡿⠋⠁⠄⠄⢠⣴⣶⣿⣿⣶⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠈⠿⣿⣿⣿⣿
⣿⣿⡟⠁⠄⠄⠄⠄⣿⣿⣿⣿⣿⣿⣇⡀⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢹⣿⣿⣿
⣿⣿⣧⠄⠄⠄⠄⢰⣿⣿⣿⣿⣿⣿⣿⡆⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⣸⣿⣿⣿
⣿⣿⣿⣧⡀⠄⠄⢸⣿⣿⣿⣿⣿⣿⣿⣷⣆⠄⠄⠄⠄⠄⠄⠄⠄⣰⣿⣿⣿⣿
⣿⣿⣿⣿⡿⣦⣀⣾⣿⣟⣉⠉⠙⢛⡏⠁⠄⠄⠄⠄⠄⠄⠄⠄⠚⢿⣿⣿⣿⣿
⣿⣿⣿⣿⣯⣗⣻⣿⣯⣥⣦⠄⣀⣾⡇⠄⠄⠂⠄⠄⠄⠄⠄⠄⠄⣼⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠄⠄⠂⠄⠄⠄⠄⠄⠄⠄⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⠋⠄⠄⠄⠄⠄⠄⠄⢀⠄⣸⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⡀⠄⠄⠄⠄⠄⠄⢸⣾⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣾⣷⠶⠆⠄⠄⠄⢀⠄⠄⠄⠸⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣶⣄⡀⠄⠄⠄⠄⠄⢀⠄⠸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠟⠚⣿⣿⡻⠿⠿⠛⠙⠁⠄⠄⠄⠄⠠⠂⠄⠄⠘⠿⣿⣿⣿⣿
⠿⠛⠉⠁⠁⠄⠄⠄⣻⣿⣿⣧⣠⣀⠄⠄⠄⠄⡀⠂⠄⠄⠄⠄⠄⠄⠈⠉⠿⢿
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠘⠿⣿⡿⠃⢀⡠⠄⠃⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⡜⠘⠀⠀⠀⠀⠈⣿⠀⠁⣿⢳⠁⢈⢰⡦⠈⠀⢻
⣿⣿⡏⠀⠀⢀⣀⠀⠀⡀⠀⠀⢀⠀⠀⠁⠀⠀⠈⠉⠀⠀⠀⡘⠀⢰⠛⢠⣴⣄⣌
⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢠⣠⡀⠀⠀⠀⠂⠀⠀⠀⠐⠀⠈⣡⠻⢹⢿
⣿⣿⠀⠀⠀⠁⠀⠀⠀⠄⠀⠀⡀⣀⣼⣟⣿⢵⣤⣤⣤⣤⣤⣤⣄⣀⣀⣠⠀⠢⣽
⣿⡿⠀⠀⠀⠀⠀⢐⣌⢖⣰⠊⠁⢸⣿⡟⠈⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣾⡄⢰⢺
⣿⡇⠀⠀⠀⠀⢀⡀⢴⢖⣠⣣⣴⣿⢿⡇⣈⠐⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⢠⣸
⣿⣷⡀⠀⠀⠀⠀⠸⣼⣿⣿⣿⣿⡷⠋⠅⠀⡀⢼⣿⠯⣿⣿⣿⣿⣿⣿⣿⡇⣼⣿
⡿⠁⠸⣄⣦⡀⠀⢡⣿⣿⣿⣿⣏⡤⠄⠄⠀⠀⠈⠉⠁⠘⢿⣿⣿⣿⣿⣿⣯⢸⣿
⠇⠀⠀⡹⢿⡏⠀⣾⣿⣟⠋⠉⠁⠀⠀⠀⠀⣀⣀⠀⠀⠀⢸⣿⠎⠉⠉⠉⠛⣤⣿
⡆⠀⡀⢣⢈⡟⠠⠻⣿⣿⣷⡄⠀⠀⢸⣶⣷⣷⣧⡄⠀⠀⢿⣧⢀⡀⠀⠉⢡⣿⣿
⣿⣦⡀⠘⢼⠃⣠⡲⠛⢿⡿⣿⡀⡀⠀⠹⣿⣿⡟⠀⠠⣤⠘⣿⣶⣿⣶⡾⣳⣿⣿
⣿⡿⣿⣶⡌⠰⡅⠌⠠⠈⠈⠙⢙⠑⢰⠀⠨⠟⠀⠀⣴⢌⡅⢻⣿⣿⣿⡇⣿⣿⣿
⣿⢇⣿⣿⠣⢿⣮⠀⢀⡀⠀⠀⠈⠁⣶⠀⠀⠀⠀⠀⠁⠀⢡⣺⣿⣿⡿⣸⣿⣿⣿
⣿⣾⣿⣏⠐⣿⢟⡈⠂⠀⠠⠀⠀⠀⣆⠀⠀⠀⠀⠀⠀⣢⣼⣸⣿⡿⢈⣿⣿⣿⣿
⣿⣿⣿⠃⡀⠈⠑⠁⠀⠄⠀⠀⠀⠲⠀⠀⠄⣀⠀⣸⣷⣮⣍⠃⢹⠇⣿⣿⣿⣿⣿
⣿⣿⣿⢀⣾⣷⣶⣌⠀⠠⠀⠀⢀⠍⠀⠀⠀⠀⠉⠁⠈⠙⠋⢰⡝⣼⣿⣿⣿⣿⣿
⣿⣿⣿⠋⠀⣼⣿⣿⣷⣄⠀⠀⠀⠊⠀⠀⠀⠀⠀⠀⠄⡀⢀⣼⢣⣿⣿⣿⣿⣿⣿
⣿⣿⣯⠀⢸⣿⣿⣿⡟⠛⠳⣄⠀⠀⠀⠀⠘⠌⠓⡀⢰⣮⣾⢠⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣧⠀⣹⣿⣿⣿⠗⠀⠀⠀⠀⠀⣀⡀⠀⠈⠀⠀⠈⠝⣡⣾⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡏⠀⣿⣿⣿⠿⠃⢀⣴⣶⣾⣿⣿⣿⣿⣷⣾⢠⣶⣾⣮⣙⡻⣿⢿⣿⣿⣿⣿
⣿⣿⡇⠀⣿⣿⠃⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡟⡼⠿⣿⣿⣿⣿⣮⡑⡝⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠤⠤⠄⣀⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠒⠒⠤⠤⣀⣀⡀⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠈⢢⡀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⣀⠀⠀⠀⠀⣠⠜⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣸⠤⠤⠤⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠒⠊⠉⠉⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠐⠒⠒⠒⠒⠀⠐⠂⠤⠀⠀⠀⠀⠀⠀⠀⠀⠘⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⠀⠀⠀⠀⠀⠀⣀⡀⠤⠄⠀⠤⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⣒⣈⣁⡀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⣉⡉⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠐⠋⠀⠀⠀⠈⢡⠀⠀⠀⠀⠀⠀⣠⠘⠉⠀⠈⠑⠦⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣤⠴⠖⠒⠶⠤⠤⠴⠶⠶⠥⣄⣀⣀⣀⣀⣃⡤⠤⠴⠖⠒⠒⠶⠤⠤⣴⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣿⡏⠀⠀⠀⣠⣾⣿⣿⣶⣤⣀⡿⠉⠁⠈⣿⠀⣤⣤⣴⣶⣦⡀⠀⠀⠀⣿⣿⠤⢀⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣠⠔⠋⠀⠀⢹⡇⠀⠀⠈⠻⠿⠿⠿⠿⠿⠟⡇⠀⠀⠀⢻⠀⠿⠿⠿⠛⠋⠉⠀⠀⢠⡇⡇⠀⠀⠈⠣⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢠⠁⠀⠀⠀⠀⢸⢻⣄⣀⣤⣤⣤⣤⣤⣤⣴⠶⠃⠀⠀⠀⠈⠧⠤⠤⠤⣄⣀⣀⣀⣀⣸⠃⡇⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢣⡀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢠⠖⠚⠀⠀⠀⠀⠀⠀⠀⠈⠲⡀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⣀⠞⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠉⠒⠤⠤⢼⠀⠀⠀⠀⠀⠀⠀⠈⠧⣠⡤⢄⠀⠀⠀⠀⢤⣤⠼⠁⠀⠀⠀⠀⠀⠀⠀⡇⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⣀⣤⣤⣄⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢹⠕⠀⠀⠀⠀⠀⣀⠴⠋⣀⣾⠋⢸⡇⠙⡿⠶⡶⢦⡄⠙⠒⠤⣄⠀⠀⠀⠀⢈⣇⠂⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡀⠬⣽⢂⡥⠀⠀⢠⠞⠁⠀⣾⡏⢸⣀⣸⣇⣀⡇⠀⣧⢸⢹⣦⡀⠀⡇⠀⠀⠀⢄⣻⣫⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠜⣿⣨⠃⠀⠈⡇⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣾⣿⣿⡇⢰⠃⢰⠀⡉⢡⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢸⣇⢌⠀⡆⠈⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⢠⠏⠀⠳⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢿⣅⠊⢸⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣸⠐⠲⢬⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣀⣀⡤⠖⠒⡟⠑⢯⠉⠉⣇⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢀⡇⢐⣗⣟⠨⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣠⠤⠖⠋⠉⠉⠉⠁⠀⠀⠀⢇⠀⢜⣏⠉⢹⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣀⢰⡿⠀⠀⣿⠉⠒⠦⣤⣀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⣢⠩⣮⢸⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⢸⢤⡿⠚⡠⢂⡟⠀⠀⠀⠀⠉⠳⢤⣀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡱⣹⣾⠀⠀⠀⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢸⣞⠵⠪⡠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠲
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢎⣿⡆⢀⠀⠀⠈⠻⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⢸⠀⠀⠈⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡁⢂⠀⡀⠤⢀⢰⠀⡄⡁⡀⢄⢀⠀⡶⣾⠚⠁⠀⠀⠀⠀⠈⠉⠛⠒⠂⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢶⡃⣄⠆⡀⢋⢸⢰⠰⢀⠸⢀⣓⣇⣹⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢸⢻⠪⣧⣘⣼⣼⣔⣣⣈⣴⡟⡻⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣠⡶⠖⠛⠉⠉⠉⠉⠉⠛⠲⣦⣄⠀⠀⠀
⠀⠀⠀⠀⣤⠖⠋⠁⠀⠀⠀⠀⢀⣴⣿⠛⠙⠛⢷⣤⣈⢿⠀⠀
⠀⠀⣴⠋⠀⠀⠀⠀⣀⣤⣶⠶⠚⠛⠁⠀⠀⠀⠀⠀⠀⠀⣿⠀
⢀⡟⣠⣶⠖⠛⠉⢁⣠⣴⣶⢶⡄⠀⠺⣯⣭⣭⣭⣿⠿⠗⢸⡆
⣾⠀⠀⠀⣴⣞⣉⣈⣿⡿⠛⠁⠀⠀⠀⠀⣻⣦⠶⠛⠉⠙⢿⡇
⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⠶⠛⠉⠀⠀⠀⠀⠀⡶⢻⠁
⣿⠀⠀⠀⠀⠀⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⣿⠀
⠘⣆⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⣼⠃⠀
⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠛⣦⣀⠀⠀⠀⠀⣠⡶⠋⣼⠃⠀⠀
⠀⠀⠈⠛⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠈⠉⠛⠛⠶⣤⣿⣿⣴⣶⠛⠉⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⢸⠀⠙⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⢸⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⢸⡆⠀⠀⠀⠀⠘⢶⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠻⡄⠀⠀⠀
⠀⠀⠀⢀⡿⠀⠀⠀⠀⠀⠀⣀⣿⣀⣀⣀⣀⣀⣀⡀⢹⣦⣤⠄
⢀⣤⣶⣿⣿⣷⣶⠟⠛⠉⠀⠀⢸⡄⠀⠀⠉⠙⠛⠿⣿⣿⣦⢻
⠀⣸⠃⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠁⠀⠀⠀⢀⠀⠀⠀⢠⠀⠀⠀⠀⠉⠙⠿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠰⡄⠀⣃⣠⣤⣬⣆⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⣠⣀⠀⠀⠈⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡏⠀⡴⢄⠀⠀⢠⣾⣿⣿⠿⠿⠿⣿⣿⣦⣽⣼⣀⣜⣠⣿⣿⣴⡄⠀⣽⣿
⣿⣿⣿⣿⣿⣿⣿⡇⠠⢰⠆⢢⣤⣼⣿⣿⣧⣶⣶⡖⠀⠀⠀⢈⣿⣿⣯⣭⣭⠉⠉⠁⠀⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡇⠠⡀⢺⠸⢿⣿⣿⣿⣿⣿⣿⣥⣤⣤⣴⣿⣿⣿⣿⣿⣛⣀⣀⡀⣰⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⠣⠴⡾⢻⣿⣿⣿⣿⣿⣿⣟⠻⠿⠿⠛⠿⠿⢛⣿⣿⣿⠇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠉⠻⠿⣿⣿⣿⣿⣿⣮⣛⣫⣵⣾⣿⣿⠿⠋⢠⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⡀⢰⣶⣿⣿⣟⠛⠛⠛⠛⠛⠋⠉⠀⠀⠀⢸⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢀⢸⣿⣦⣝⠻⡿⣡⣄⠀⠀⠀⠀⠀⠀⢐⠀⠀⢸⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⢀⣤⣴⣶⣿⡹⣿⣿⣿⡟⣵⢰⡟⣴⡆⠀⠀⠀⠀⠀⣸⠀⠀⢸⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⢀⣯⡻⣿⣿⣿⣿⣮⣝⣩⣾⣿⢎⣤⣙⣴⣿⣷⡄⠀⠀⣿⡆⠀⢸⣿⣿⣿
⣿⣿⣿⣿⣿⡇⠀⠀⣿⣷⣌⡿⠿⣛⠻⢿⣿⣿⣿⢸⣿⣿⣿⡿⣡⡇⠐⠀⣿⣿⠀⣼⣿⣿⣿
⣿⣿⣿⣿⣿⠀⠀⢀⢻⣿⢏⡶⣿⣿⣿⣷⡍⢿⡷⢟⣫⣭⡛⣰⣿⠣⠁⣸⣿⣿⣼⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢠⠀⡾⣸⣿⣎⢡⣿⢿⣿⡿⢛⣠⣾⣿⣿⣿⡇⣋⣭⣧⢺⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣸⢀⣇⢿⢸⣿⡘⠏⢼⡟⣰⣿⣿⣿⣿⣿⠟⣐⣻⣿⠋⣾⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡁⣿⣿⣦⡘⣿⢸⣿⠌⣸⣿⣿⣿⡿⢋⣴⣿⣝⢿⣿⡔⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡇⣬⣛⠿⣷⡍⣾⣿⠀⣿⣿⠿⣫⣔⢿⣿⣿⣿⢘⣿⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡿⢡⣬⣉⣛⠲⠶⠜⣛⣒⣤⣤⣛⣛⣿⣆⣉⡛⠉⣈⣥⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠃⢿⣿⣿⣿⢻⣷⣶⠆⣤⣤⣤⡄⢠⣤⣤⣤⣄⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡏⠄⣿⣿⣿⡏⢸⣿⣿⠀⣿⣿⣿⡇⢸⣿⣿⣿⣿⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⢠⢠⣿⣿⣿⠃⣺⣿⣿⠀⣿⣿⣿⡇⢸⣿⣿⣿⣿⡇⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡇⠄⢸⣿⣿⣿⠀⣿⣿⣿⠀⣿⣿⣿⣧⢸⣿⣿⣿⣿⣷⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣦⡀⣭⣭⣭⣭⣤⣭⡍⠉⠀⠛⠛⠻⠿⠈⣥⣤⣤⠀⠀⠼⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡇⣿⣿⣿⣿⣿⣤⣤⣝⠻⣿⣿⣿⢰⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⢹⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠛⠿⠸⢿⣿⣿⣿⣿⣿⣿⣿⠿⢟⣸⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣮⣍⣛⣛⠛⠿⠿⢛⣋⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣤⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⡃⠀⠿⠇⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠁⠀⣰⡄⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠸⡷⠃⢀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⢀⣀⡀⠀⢿⣳⡄⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠞⠁⠀⠸⣌⣻⠀⠀⠉⠁⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⡤⢾⢁⡞⠉⠉⠓⢦⡁⠀⠀⠀⠀⠀⠀⠀⠙⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣠⡴⠯⠴⠋⠈⠧⣄⣀⣀⣠⠇⠀⠀⠶⠆⠀⢲⡆⠀⠀⠨⠷⠲⡄⠀⠀⠀⠀⠀
⠀⠀⢀⣾⣅⢀⣠⠤⠶⠖⠒⠚⠛⠛⣟⠛⠛⠛⠒⡒⠒⠒⠷⠦⢤⣀⠀⠀⢻⡄⠀⠀⠀⠀
⠀⠀⣼⢡⢟⣉⣀⠒⠶⠤⣄⡀⠀⠀⠈⢧⠀⠀⠀⡇⠀⠀⠀⡇⠀⠈⠑⣆⠀⢷⠀⠀⠀⠀
⠀⠀⣿⡏⠀⢈⣉⣉⣉⣛⣒⣿⣿⣶⣤⠼⠗⠶⠾⣅⣀⡤⠞⣁⣤⠴⠂⠘⡇⢸⠀⠀⠀⠀
⠀⠀⠘⣿⣄⠈⠀⠀⠀⢀⣠⣭⠟⠁⠀⠀⠀⠀⠀⠀⠙⢶⣋⠉⠀⠀⠀⢀⡇⡼⠀⠀⠀⠀
⠀⠀⠀⠈⠛⠿⣶⣶⣿⣭⣥⡏⢀⣈⣈⠉⠀⠀⠐⠂⠠⠈⣏⣉⣉⣻⣶⣞⡵⠃⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢹⠃⠻⢿⣿⠟⠀⠘⢾⣿⣿⠀⡿⠛⠛⠓⠋⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⡄⠀⠉⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⣴⠀⠀⣹⡄⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠈⠈⠁⠉⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠠⠤⠤⠤⠤⠤⠤⠄⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣄⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀
⠀⠀⢀⣀⣀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⡀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⠛⠋⠉⠈⠉⠉⠉⠉⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⣿⣿⣿
⣿⣿⣿⣿⡏⣀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿
⣿⣿⣿⢏⣴⣿⣷⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿
⣿⣿⣟⣾⣿⡟⠁⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣷⢢⠀⠀⠀⠀⠀⠀⠀⢸⣿
⣿⣿⣿⣿⣟⠀⡴⠄⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⣿
⣿⣿⣿⠟⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⢴⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⣿
⣿⣁⡀⠀⠀⢰⢠⣦⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⡄⠀⣴⣶⣿⡄⣿
⣿⡋⠀⠀⠀⠎⢸⣿⡆⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⠗⢘⣿⣟⠛⠿⣼
⣿⣿⠋⢀⡌⢰⣿⡿⢿⡀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣧⢀⣼
⣿⣿⣷⢻⠄⠘⠛⠋⠛⠃⠀⠀⠀⠀⠀⢿⣧⠈⠉⠙⠛⠋⠀⠀⠀⣿⣿⣿⣿⣿
⣿⣿⣧⠀⠈⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠀⠀⠀⠀⢀⢃⠀⠀⢸⣿⣿⣿⣿
⣿⣿⡿⠀⠴⢗⣠⣤⣴⡶⠶⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡸⠀⣿⣿⣿⣿
⣿⣿⣿⡀⢠⣾⣿⠏⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠉⠀⣿⣿⣿⣿
⣿⣿⣿⣧⠈⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿
⣿⣿⣿⣿⡄⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣦⣄⣀⣀⣀⣀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠙⣿⣿⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠁⠀⠀⠹⣿⠃⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠿⠛⠉⠉⠁⠀⢻⣿⡇⠀⠀⠀⠀⠀⠀⢀⠈⣿⣿⡿⠉⠛⠛⠛⠉⠉
⣿⡿⠋⠁⠀⠀⢀⣀⣠⡴⣸⣿⣇⡄⠀⠀⠀⠀⢀⡿⠄⠙⠛⠀⣀⣠⣤⣤⠄⠀
⢕⢕⢕⢑⠁⢁⣼⣿⣻⢿⣟⢿⡻⡙⡏⡏⣟⡽⡹⣹⢪⡻⢽⡫⠯⣻⢛⢿⣻⣿⣿⡿⣧⢍⠝⡍⡏⡎⡕⢵
⢕⢕⠸⡐⣠⣿⣗⢯⡺⡽⡸⡅⠕⢕⢐⠑⢕⠸⢙⢕⢱⢸⠸⢜⠴⡈⡜⡔⢅⢟⢞⣿⣿⣧⠨⡊⣜⢜⢜⡵
⢕⢌⢂⢀⣿⡷⡧⣯⡣⡹⡎⠪⣈⡂⣦⣁⣱⡱⣱⣡⢑⣘⡨⢮⢝⢞⣎⣖⣵⢳⣸⣯⣿⣿⣇⢣⢪⡪⣣⣻
⢕⢐⠄⣸⣿⣿⡝⣮⡪⡪⣊⢎⡔⣗⢳⢪⢻⠾⡻⡿⡻⣗⢾⢗⡿⢿⢻⡻⡾⣟⣶⣯⣿⣿⡇⡎⢆⢇⢇⢿
⢕⠐⠄⣿⣿⣿⡽⢜⡲⣇⣷⡛⢗⢙⠹⠘⠔⠑⠉⠘⠜⠑⠔⠑⢘⠈⠂⠊⠘⠈⠈⠘⠹⢿⡧⡣⡣⡣⡳⡽
⢅⠅⠄⣿⣿⣿⢝⢷⣻⡻⠁⠄⠄⠄⠄⢀⠄⠄⠄⠄⠂⠬⡀⡄⠄⠄⠄⡀⠄⠄⠄⠄⠁⠂⢻⣕⢧⢳⢕⣿
⠅⠂⠄⢻⣿⣯⠧⢟⣿⣔⠄⠁⡀⡀⠄⠄⠄⣀⠄⠄⡀⠩⠳⠵⠁⠄⡀⠄⢰⣁⠄⠠⠄⠄⠈⢿⣪⡺⡜⣾
⢵⣷⠶⣼⠏⣿⠹⡙⠄⠁⠄⠖⠂⠄⡀⠄⠄⠹⣾⠄⠄⢔⣻⣿⡳⠄⠄⠄⠈⡷⠠⠄⠄⠄⠄⣼⡟⠵⡭⣻
⡪⡂⡕⡄⢠⣿⣏⢌⢠⠰⡌⡢⠄⠄⠅⠠⠄⠐⠄⠄⡔⣵⢾⣟⣯⢧⢂⢠⢀⠄⠄⠄⣀⢤⢾⢦⣿⣇⢗⣿
⠜⣔⠄⠈⢘⣿⣯⡖⠔⠑⢜⢐⠁⢂⠄⠢⢐⠐⢀⢕⢝⡚⡟⠿⡿⣿⣪⡢⠳⣭⣊⢆⠣⠣⠣⠓⡯⢷⡣⣿
⠝⣾⠄⠄⢸⣹⣷⣆⢀⢑⢐⠰⢈⢐⠨⠨⠠⠐⡎⠫⠑⢌⠌⡈⡈⠪⠚⠷⠈⠰⢕⢟⢎⢎⠂⠌⣾⣿⢸⣺
⢅⠱⢷⢄⡀⢽⣿⣟⡀⠑⡐⢅⢃⠢⠑⠅⢅⢢⠈⠄⠄⠄⠁⠐⠈⢀⢀⢬⢤⢠⢌⠪⠲⢈⠸⡠⣿⢾⠱⣽
⡅⠄⠳⣝⠄⢸⣿⣻⡜⠆⠌⣐⡂⢅⠅⡍⡆⢧⢑⢦⠕⠔⠤⠤⠤⠳⢯⣯⢿⢵⠥⡧⣑⢄⠃⣆⣿⠃⢑⢵
⢆⠕⡠⡉⠃⠸⣿⣿⡸⠰⢁⢐⠄⡥⡪⠢⡸⡸⢊⠁⠄⠡⠡⠨⠐⠄⠈⠈⠫⡇⠟⣜⣖⡔⠥⣢⣻⠄⠄⡸
⡣⡣⡱⡨⠢⡀⢹⡗⡳⡉⢐⠄⠕⡽⢐⠁⠄⠅⠐⠈⠄⠄⠄⢀⢀⣀⣀⣀⠄⠁⠄⠨⣾⣗⡘⣆⣿⠄⠐⡌
⡪⡪⡢⡣⡃⢆⠸⣿⡢⡸⠂⡘⡩⠼⡄⢄⠰⡐⢔⠑⢍⢚⢙⢊⠣⠓⠝⢚⢹⢕⢕⢡⠺⡒⠕⠅⡾⣤⣐⢜
⡕⢕⢸⢨⢊⠆⡂⡹⣯⣪⡀⡄⢜⡽⡀⢢⠊⡊⡢⢑⢀⠄⡀⠄⠄⡀⠄⡊⠮⡪⡊⢆⢆⠯⢨⢢⠁⠄⣿⣽
⢎⢕⢕⢅⢇⣣⡱⠒⢿⡜⣖⡂⢚⡺⣎⢐⠄⡊⡐⠰⡀⡅⣀⡢⣐⢔⡰⡨⡘⡄⡣⡡⣏⡓⠇⠁⠄⠄⣍⣿
⡣⡱⡡⡣⣳⠞⠄⠄⠸⣿⣝⢮⣶⢪⡗⡄⠠⢂⠌⠆⡅⠇⠇⡓⡘⡘⡪⣚⠪⡪⡘⡜⡂⢪⡃⠄⠄⢀⣽⢿
⡕⢕⢕⢽⠁⠄⠄⠄⠄⡑⠌⠹⢹⢹⢭⢻⡅⡆⡈⡠⠠⠁⡂⠄⠄⠠⢀⠂⠅⡃⠅⠁⡄⡣⡂⠄⢠⢙⢄⢾
⡕⡕⢵⠃⠄⢀⠄⠡⠄⢈⢂⢀⠄⠁⠌⠈⠪⠒⠢⠐⡐⠡⠐⠠⠡⠈⠄⠌⠄⠄⢀⠌⡀⠊⢐⡴⠩⡓⠔⢝
⢎⢪⢸⠄⠄⠘⠐⠄⠄⠄⠐⡀⠌⡀⠄⢂⠠⠄⠄⠁⠄⠁⠄⠄⠄⠄⠄⠄⠄⠄⡀⠄⡠⠔⠁⠐⠐⡭⡨⡘
⢕⠅⢝⣕⠄⠄⠄⠄⠄⠄⠄⠐⠄⠄⠄⠠⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⡀⠅⠐⠁⠄⠄⠈⢀⠁⡒⡊⠌
⡕⣌⣄⣿⣾⣄⠄⠄⠄⠄⠄⠄⠂⠁⠄⠄⠄⠄⠄⠄⠄⠄⠄⢀⠄⠄⠈⠄⠄⠄⠄⠄⠄⠈⠄⠄⠄⢂⠠⠠
⡕⡧⡏⣞⢵⡣⣳⣕⢞⢮⡺⣕⡳⣵⣫⢷⠋⣠⣤⣂⠬⡓⢬⠢⣣⣿⢫⣶⡽⣿⡡⣋⢞⡡⣚⠤⠂⣀⠉⠚⡮⣳⣱⢭⡫⣫⡺⣜⢎⡞⡼⡽⡽⣝⠮
⣣⢯⣺⡪⡷⣝⢮⢞⡽⣕⢯⣺⢮⠗⠋⠄⢀⢐⣒⡨⠝⣚⢵⣹⡾⣱⣟⣟⡾⡞⣿⣵⣝⠪⢔⡚⠭⠅⠄⠄⠈⠓⣗⣗⡽⣕⡕⡗⡵⡝⡮⣫⢯⢷⢹
⡯⣳⢵⢽⢝⣮⢯⢯⣞⣷⡿⠞⡁⠅⠐⡀⠂⠄⠤⠭⠭⠥⣽⢟⣼⡭⣭⡭⡽⣽⣮⢿⣮⡙⣒⣒⡛⠠⠈⡀⠂⡀⠄⠳⣯⢶⡹⣪⡪⣎⢯⢾⢽⣝⢜
⡯⣯⣫⢯⣻⡼⣯⣟⣷⠛⡁⢂⠠⠈⢀⠄⠄⠂⠨⠭⢍⣽⣫⣾⣿⣿⣗⡽⣿⣞⣾⢷⡹⣯⡁⣒⠂⠐⢀⠂⠄⢂⢁⠄⡈⠻⣞⣧⢳⡣⣏⣯⣟⢮⡳
⡯⣺⣪⢗⣗⣿⣻⠏⡁⠢⠐⠐⠠⢑⠡⠨⠐⠠⢚⣩⣿⣳⣻⣿⣽⣭⣯⣭⣧⣷⣟⣟⣟⣽⣷⡲⢬⠈⠄⠎⠨⠠⡠⢈⠄⠄⠈⠹⡷⣝⣞⣾⢽⣳⢕
⣟⣞⢾⢽⣾⡿⠋⠐⠈⠄⢁⢐⠅⡣⠁⠡⠐⣈⡵⢋⠝⣩⢏⣚⡜⣜⣆⢽⢪⣎⢞⣌⢏⢯⠹⡻⣐⠊⠐⡈⠄⡁⠄⠂⠡⠈⠄⠄⠈⠻⣳⣿⣻⡽⣕
⡵⣳⣟⣿⡽⠁⠈⠄⢄⠪⡐⢌⢊⡐⢌⠂⠜⡋⠄⠅⠊⡁⡁⠋⠎⣾⢸⢸⣸⢸⡌⠎⢃⠁⡓⠉⡊⠛⢆⢂⠃⠅⠡⠨⡐⠠⠐⠄⠄⠄⠙⢯⣷⣻⣜
⣯⣻⣾⠏⠄⠄⡄⠕⢌⠊⡔⡢⠡⡊⠔⡡⠑⠌⠌⠌⠂⠐⠄⠁⠂⠁⠏⢺⠎⠊⠁⠐⠄⠂⠄⠡⠄⢑⠐⠠⠑⡁⠅⠨⠠⠁⠂⡀⠂⠄⠠⠈⢻⡷⣕
⡷⣿⠃⠄⠄⠌⠄⡁⡂⠌⠂⠊⠈⠄⠄⠄⠠⠄⠄⠄⠄⢀⣀⣀⣀⢀⢀⠄⠄⠄⡀⠄⠄⠈⠄⡀⠐⠄⢀⠁⠠⠄⠄⠂⠄⠄⠂⠄⠄⠂⠠⠐⠄⠻⡵
⣿⠇⠄⠄⡈⠄⠁⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⣄⣖⣾⣾⣾⣾⣯⣷⣟⣾⣷⣷⣽⣼⢌⢆⢄⠂⠈⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⡻
⡏⠄⠄⠄⠄⠄⠄⢠⣤⣤⣠⣶⣶⡀⣀⣀⠄⢀⠮⡾⣫⣙⠙⠛⠻⢻⢿⠿⡻⣟⡟⠝⠜⠕⠉⠂⠅⠄⠄⠄⠄⠄⢀⣴⣄⣠⣶⣦⣀⡀⠄⢀⣴⡴⣝
⣇⠄⠄⠄⠄⠄⢰⣿⣿⣿⣺⣿⣿⡧⣿⣿⣷⣲⣵⡝⠉⢀⠁⠄⡀⠄⠈⣰⡬⠂⠄⠄⠄⠄⡁⠑⠄⠄⢠⠆⣛⣉⣿⣿⣷⢺⣿⣿⡆⢿⣿⣿⢿⣝⢴
⣿⡰⣶⡀⣀⣤⣼⣿⣿⡿⣾⣿⣿⣻⣻⣿⣟⢿⣿⣻⠘⣟⠧⠔⢗⢔⣗⣽⣿⠄⠄⠄⠧⠰⠋⠄⣤⣷⣵⣽⣯⣯⢿⣯⢟⡾⣿⣿⡃⢸⣟⡿⣏⠮⢘
⣟⡏⣾⣇⢹⣿⣿⠽⢿⢿⢿⣟⡟⠷⠙⢝⠐⠅⢸⢨⠄⠘⢜⣘⣴⢿⢕⣿⣿⠅⠄⡇⡅⡃⡆⣰⣟⡗⡯⡫⡳⣻⠿⢙⠹⡽⡿⡓⠁⢺⣳⡟⣾⡧⢘
⡯⡪⠾⡷⢨⣛⣷⢑⠡⡁⡙⡁⡂⡂⡈⡆⢕⠅⢪⠢⡁⡂⢙⣿⢏⢊⣗⣽⣿⡏⠄⠈⣿⠮⠄⣷⡳⣝⡞⡮⡣⣣⢱⠄⠅⠉⠄⠄⠄⠘⢋⢵⡿⡋⢂
⣟⡦⣄⠈⢳⢫⢷⢱⢑⠌⡂⠐⠄⡑⡐⡘⠨⢈⠢⡑⡁⡂⠐⣝⠅⣴⡁⠙⠋⠄⠄⢀⠪⡑⠄⣿⣟⢎⢾⢙⢜⢅⢑⠄⠂⠁⠄⠄⠄⢀⠪⠃⢁⣔⢮
⣪⢾⡽⡗⠄⠉⠊⠂⠌⠨⠄⠈⡐⡐⡀⢆⠑⢄⢁⠂⠄⠄⢈⢮⣺⡺⣿⣗⢤⠠⠐⠄⢌⢂⠄⢻⣝⢎⢎⢌⠢⡑⠄⠄⠄⠄⠄⠁⠄⠄⠠⠈⠘⢗⣕
⣣⡷⠋⠄⠄⠠⠄⠠⠄⠄⠄⢔⢄⢄⢣⢑⠄⡢⣪⠪⡠⠁⢰⢻⠘⠘⡙⠉⠚⠉⠄⠐⠈⠠⠄⢸⣪⡷⣕⢔⠕⢌⠄⢀⠄⠄⠁⠄⠄⠁⠄⠄⠄⠈⢲
⡗⠃⠄⠐⠄⠠⠄⠄⠄⠄⠄⢠⡱⣳⣗⣵⣵⣿⣮⡧⠣⠄⠊⡆⡮⢯⠛⠙⠉⠙⠈⠄⠐⠄⠄⢰⡳⡻⣟⢼⢜⢔⢕⠄⡀⠄⠄⠄⠁⠄⠄⠐⠈⠄⠄
⠁⠄⠠⠁⢈⠄⠄⠂⢀⠠⠄⢸⣿⣿⣽⣿⣯⣿⣿⢇⢯⡂⠄⡣⣪⣾⣼⣾⣿⢶⣒⠤⡁⠄⠄⣽⣯⢯⢯⣳⢝⡕⡇⡕⡠⠄⠄⠄⡀⠄⠂⠄⠠⠄⠄
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠉⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠙⠻⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠙⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠈⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡿⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢹⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣟⠄⠄⠄⣰⣿⣿⣶⣾⣾⣶⣦⡀⠄⠄⠄⠄⠄⠄⠄⢸⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠄⠄⠄⢿⣿⣿⣿⣿⣿⣿⣿⣇⠄⠄⠄⠄⠄⠄⠄⣸⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡀⠄⠄⣿⣿⣿⣿⣿⣿⣿⡿⠿⠄⠄⠄⠄⠄⠄⢠⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣇⢠⡄⠁⠄⠄⠄⠈⣭⠄⠄⠄⠄⢠⣴⠄⠄⢸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡝⢹⣷⣤⣦⣤⣴⣴⣿⣶⣿⣿⣿⣿⡿⠗⠄⢀⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡿⠷⠂⠈⠙⠛⣿⣿⢟⣽⠿⠿⠌⠙⠛⠄⠄⠄⠄⣽⣿⣿⣿⣿
⣿⣿⣿⡿⡋⠁⠄⣾⢠⣶⣧⠘⣿⢿⣷⢄⡀⣠⣴⠿⠄⠄⠄⠄⢸⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣵⡶⠶⡛⡋⢉⣿⣧⠄⠈⠛⠋⠑⠉⠁⠁⠄⠄⠄⠄⠨⢹⣿⣿⣿⣿
⣿⣿⣿⣿⡋⠄⠸⠃⠄⣼⣿⣿⣆⠄⠄⠐⠒⠂⠁⠄⠄⠄⠄⠄⣠⣾⡟⢿⣿⣿
⣿⣿⣿⣿⠅⠄⠄⠄⢰⡿⠿⠿⠛⢢⠄⣶⣶⣴⣶⡶⠄⢀⣤⣾⣿⡟⠄⠈⠻⣿
⣿⣿⣿⣿⠄⠄⠄⠄⠄⠄⠄⠄⠄⢸⡀⠄⠉⠁⠁⢀⣴⣿⣿⣿⠟⠄⠄⠄⠄⠈
.oooooooooooooo.
.d888888888888888P
db 88888888888888888boo.
`Y8b 888888888888888888888b.
`Yb....d88888888888888888888888b
`Y8888888888888888888888888888
"8b "8" "88888888888888888888888888P'
8Yb 8 88`Y8888888888888bo. """
8 Yb 8 88--`Y88888888888888bo.
8 Yb8 88 `Y888888888888888b
.8. Y8 .88...d `Y88888888888888
`Y888888888888b
"88""Yb. YY88888888888b
88..bP" YbY8888888888.
88""Yb Yb`Y888888888
88 Yb YdP`Y888888P
.88. Yb V `Y8888b
`Y888
`Y8
'
.IIMM MMI...,
.}}HHI..IIHHMMHIH H}..
}}HMHHHHHMMMMMMMMHMHI}},
IHHHMHMHMHHHMMMMMMMMHH}}.,}
MMMMMMMMMHMMMMMMHMMMMMMMMMI}
MMMMMMMMMMHHMMHMMMMMMMMMMM,}
MMMMMMMMMMMMMMMMMMMMMMMMMMM,
MHMMMMMMMMMMMHMMMMHHMMMMMM}..
MMMMMMHHMMMMMMHHMMMMMMMMMMMMM
MMMMMMMMMHMMHHHI@ @}}I HMMMMMI
MMMHMMMMMMMMMMHHI, @ HIHMMMMMM,
MMMMMMMMMMMMMMIII, @@}IHMMMM
MMMMMMMMMHMMMMMMH} ... XXXM}
MMMMMMMMMMMMMNMHMH IMM MH,
MMMMMMMMMMMMMMMMMI, ...IMMMMMM
MMMMMMMMMMMMMMMMMX }MIMMI.,
MMMMMMMHHMMMMMMMY IMML.. IMMIHH}.
MMMMMMMHHHHHMMMMIMMH}}}... @IHI}...
MMMMMMMMMMMMMM@H}MHIII}...} @},},
MHMMMHHMMHHMHI ..MMMII}@}}I}I. }I}}
MMMMMMMMMHM....}@@@@@}}.}}I,.} MII}
MMMMMMMMM}},}}@@@ @@}}}IM}IM}} IM,
MMMMMMMMMMII}@@ @ @@}}I}} }MMMM,
MMMMMMMMMMII}. @}I}.,MMMMM@}
MMMMMMMMMHHHII}. .}}I}ILMMM@}}}
MMMMMMMMMMMMII}}.. .}II} @}}II}@@..}@@@@}}..,
MMMMMMMMMMMMIEIHMI}}}.}I}}.. .. ,.}@@ ,.}@@@}}, @},
MMMMMMMMMMMHII}}@II}}....@ .}@ }}.,
IHIMMMMMMMMMMMMMHI}}....}}}}} }@ }} @,
@@}HMMMMMMMMMMMMMHHI}..}}}}II}}@ .}}}}}}III},. @,
@IHMMHHHHHHIHIIIIMHMH} .@@ }}, .}}.. @,
@MMMMHHMHIIMMHHHHHII} .}}} }}}}}}}}...... ....},
MMHHHHHMHIMIIHHIIII @,..@@@@ @@@H}IIMII... ...@.
,MMHHHMHHHHHHIIIIII@}@ ..... .}}}}}II, @HHH}.. .. ,
,MMMMMHHHHII}}@@@ @@ .. .....}HI}, II}.. ...}}
,MHMMMMMMH}.@@ ... .. ...}}H}, @I}}, ,}
,IMHMMMHI}@@ ..}. I .. .. ...}}II, @II.... }}..
IMHIMMI}@@ . } ,,..}}H} I}} . ...
MMHIMMI}.@@ ..} ...} ... ....II,@I}.... .
@MMHIMM}@@}. . .. . .. ,} ,.IIHI}}}.
IMIHMMI}}}@@ . , ,,, ..}}IMIII...
IMIHMMM....... . ,.}}HH}..
MMIHMMMH}. . ...}}}IIHHI.
IHIMMM}}... @@@}}}}}}}
}MMHMM}... . ... III..... . @@@}}}
,MIHMMI}... }}},. . I. }}}}}.. ...}}.... .. @@
MMMMMM}... .. .}.....}.III}}}.........}}}}........ ..
HMIMMI}... ..}}}}}}}}}III}H}IIHII}}}}}...}}}}.........
IMHIMM}..... ....}}}}}III}IIIMMMMHHH@III}....}..........
@MHHMM}... ....}}}}}IIIIMMI}@}}}IMHMHIII}}}}}...........
IMIMM}}}... ...}}}}}III@ }....}}}}IHHMHIIII,}}.}......
,MMIMM}... ....}}I}.@ @ @@@@}}IIIMMH,@}}}}}}}}}
IMMMMI}}}.... , ..}}}}}}.. .. ... ..}}IHMM}, @@}}}
MMMMNN,.....} . ..}}}}}}.. }}}}MMMM}
IMIMMHH}...}... .. ...}}}}}... .. ... ..}}}MMMMM,
MMHMMHI}... ..}. ....}}}}}}}..}. ... ...}}}}IMMMMI
,MMHHMMI}..}}... ....}}}}II}}.}}.... ..} ...}}IHMMMM}
IMMHH}}.}}}... . ......}}III}..}}.}}}}} .IIHMMH
,MMMHI}}}..}}. .....}IIIHIHII}}IHHHHHHHHHH}..}HHHHI}@
MIMHHHII}}.... .. ..}}}}}}.}HHHHIMMMMHMHHMMMMMMMMMHMI}@
,MMHHHHII}}. ... ..}.}}HHHHHHHMMHMMM@MMMMMMMMMI}@
IMHHHIII}}}... .....IHHIIHHIIIHHHHMH}}IMMMMII}@
,MMMMMIII}..}.. .. ...}HI}...}}}IIHHHMH@IMI__@
IMHHHII}}}}... ..IHI.. ..}HHHIHMHH
,MHHII}}}.... ...III}... .IHNHHMMH
IMHHHIII}}... .. ..IHH.. ..}}}IMHMHH
,MHHHIIIII}... . ....II}....}}}IHMMHI
MMHIIII}}}}}. ...}}}..}}}.HHHHH@
@MMHI}}}}....... ..}}}}}.IHHHIHH
MMIII}}}}....... ....}}}}}}HIIHHM@
@MMHHHHII}}... ...}}}}}MHHMH
MHMMMHHIIM}}. ,}}}}HIMMH@
HMMMMHMHHIM}}.. ....}}}HHHMI
IMMHHMMMIIII}. .. ..}}}}IMMM
IMMHHMMMMMMMI}}. .. ..}}MMMMH
IMHHHMMMHIII}}.... ......}}HMHI
HMMMMHMHIII}}@@@ @ @@@@@}}MHMM@
IMMHHHIII}}@@@ @}}MMMM
,MMMHHII}}@@@@ @@@@}}MMMMM
IMMHHHMM}@@ @@ @@@}IHMMMMI
,HMMMMMII}}, @@..}}MMMMM@
,HMMHII}}@@ @@@@@}HHHIHMMMM
,HMHHI}}, @@}}IIIMMHHMMM
,IHMMM}}@@ ..@@IMIIMMMMMH
,HMMMI}@@ ,,, .IIIHIMHMHH
,HMMI}@ , ,.. }}H MMHMI
}HMMI}@ .. ... ....}}}. MMMMH@
IHMHHHI} . ... ....}}}}}MMMIY
,IHMMMMMII}}. ..... ....}}}}MY@
,MMMMHHMII}}, ....}}}MH@
HMHHHHHHII}}}. ....... ...}}}..IM@
MMMMMMMIII}}, ....}}.. ..}}}M@
}MMHHMMIII}}@ ....}} }}}.}IM@
MMHHHHHIII}}@ ....}}}}.}}IHM@
,MIMHHHHHMII. , }}}. .}III
IMIHMMHMMMMII @@}}}}}}II},
HMIMMMMHMHHM}}, @@ }}}IIM}},},
MMHHHHMMMII}}@ @@}}}}}}II}},
MMMMMMMMMHHI}@ .. ..} }}}}}...
IMMMHHHHMMM}}.. ...}}}}}..}II}},
MMHHHHHHMMM}}}}. .... ....}}}}.}}I}}..
IMMIHHHMHHMMMII}}. ....}}}}}}...}}}}},
@MMMMMMHHMMHMHII}}, ... ........}}}}}},
MMMMHMHHMHMMMIIII}}, ....}}}. ....}}}}..}..
@HMMMHMMHHMMMMHIII}}}., ,,} ...}}..},.
IMHMMMMMMHHHMIIII}}}}... ,..}. .. ...}}}},
MIMMMMMHHMMHHHHMMMHMI}}... ......}}
MMMIHHMMMHHHHHHMMIIIII}}},.. ...} ...}
MMMMIMMMMMMMHMMMHMMMMHMIIII}}}...}} .....}},
MMMMMIHMMMMMHMMMHHHMMMMM}}.I}.. ... ....},
MMMIMMIMMMMMMHMHMMMHHHMMMMHH}}, ... .... ..}},
MMMMMHMIMHHMMHHHHMHMMMHMHHHMIII}}}.., .... ...}},
MMMMMIMHMIMMMMMMMHMHHMMHMMHHHHMII}}}}.}@ }}}}.
}MMMMMIIHMHIMHHMMMMMMMMHHHHHHMHIIII}}}},@@ ....}}}},
IMMMMMMIIIMMIIMMMMMMMHHHHHHMHIMMMMMII}}. .... ...}}}.
IMMMHMHIMIIIIIIIMMMMMHMMMMHHHHIIIII}}}., ....}}}
IMMHHMMMI}}IIIMMIMHMMMHHHHMMMII}}}}}}..... . ...}}
}MMMMMMIII}}IMMMMMIMMMMMMMHHHHII}}}}}.. .. , ... ..}}
IMMHHHMII}@ @@ @}MMMIMMMMMMMMMMII}}}..}}@@ , ..}}}
HMMMMMII}}@ }}},MMHHIHMMMMHHMHII}}@@ .. .. ....}}}
MMMHHMH... ....}}MHHMHMMIMMMMHIII}}}@@.. ... ....}}.
HMMHMII}@@ @@@@}}IMMMMMMMMMIHHMMHMDD, .... . . .. ...}}}.
MMHHMI}}@ .. ... IMMHMMMMM @IHMMHII}}...... .... ..}}}
MMMHHH}} @@}}}HHMHMHMM@ @HHMHI}}}}}}.... . ..}
MMMIHI}} } },}.MHMMMMM @HHHH}}}}..,,...... .}
MMMMHIIH}. ..HHMMMM@ @MMMMMMI}},,,,.. ...
,MMMHHH}}. .. ...}HHMM@ @MMMMMMI}}}.... ... ..
IMMMMHHM}}. ....}}}MMMI IMMMMMHH}}}...... ..
,MMMMMHMM}}... .. ..}MMM ....}}II.IIMMMMMHMM}}}}.......
MMMMMMMMMMHH}}.. ..HHMMM ,}IIIHIIII}IIIHHMMMMMMMMHHH}}}.. .
MMMMMMMHMHHIII}}. .}MMMYII}IIIIH}@@@@}@@}@@}}}}HMMMMHHHM}}........
MMMMMMMMMIII}}@@IMMMIIIIIMMMI}@@ @@}}}.IMMMMMMMMMM}}.....
MMMHMMHIIMIIMHHIII}}}}@@@@@@ @@}}}IMMMMMHMMMMI}}}...
IHII@@HHHMIII}@}}... .. ..,, ,MMMMMHMMMMMHI}}..
MHMMIII}@@@@@}... . ..... }}}} .IIMMHHHMHMHMHIMMM}..
II}@@}}}.. . ....}}}}}}} .}}}}}}IIMMIIIMMMHIIIMMMMMMMMII
.. . . ......}}}}}}}}@@IIMMMMMMMMMMMMMMMMMMHMMMMMMM
..... ........}}}}}}}}}}III}}IIMMMMHHMMHHMMMMMMMMMMMMMMMMMMMM
..... ..} ..} ......}}}}}IIMMMMMMMIIIIIHMMMMMMMMMMMMMMMMMHII}}@
}}. ........}}}}}}}}}}IIIHMHHHMMMMMMMMMMMMHHHMMMMMMMMMMMMMMII}}@@@
}}}}}}}IIIMMMMMMMHHHMMMMMMMMMMMMMMMMMMMHHHHHIIII}}@@@@@@@
IHIHIIMMMMMMMMMMHHIII}}}}}}}}}}}}}@@@@@@@@@
MMHHHHHHHMMMHHMMM @@@@@@@
$$$$$$ $$$$$$$$$$ $$$$$$$$$$ $$$$$$$$$$
$$$$$$ $$$$$$$$$$ $$$$$$$$$$ $$$$$$$$$$
$$$$$$ $$$ $$$ $$$ $$$ $$$
$$$$$$ $$$ $$$ $$$ $$$ $$$
$$$$$$ $$$ $$$ $$$ $$$ $$$
$$$$$$ $$$ $$$ $$$ $$$ $$$
$$$$$$ $$$$$$$$$$ $$$ $$$ $$$$$$$$$$
$$$$$$ $$$$$$$$$$ $$$$$$$$$$ $$$$$$$$$$
$$$$$$ $$$$ $$$$$$$$$$ $$$$
$$$$$$ $$$$ $$$ $$$ $$$$
$$$$$$ $$$$ $$$ $$$ $$$$
$$$$$$ $$$$ $$$ $$$ $$$$
$$$$$$ $$$$ $$$$$$$$$$ $$$$$$$$$$
$$$$$$ $$$$ $$$$$$$$$$ $$$$$$$$$$
____.mmmmmm.___
,---########################---__
/##################################\
/######################################\
/##########################################\
/#############################################\
/################################################\
/##################################################\
/#####################################################\
/#######################################################\
/########################################################|
|########################################################|
|#################/####A###|`'||\#####|##\###############|
|################||###||##/[ )) \####|###|\############|
|###############|:|###| || | |: :|###|\##||###|\#######|
|############|##|:|/;\| || ( |:::|/\#| |#)|/\#| |######|
|############|##|: ;;___\|_| |::: ::\| ||__;:\| |######|
|############|##|-==^======^= / ;;; :--|/=====--|######|\
|##########/|##|: '____:. ;/ ____ ';^|#####|
|##########||/^' //::\ \;: //::\'\ ;|####|;
|##########|::: ||::o:) );; ||:o::) >:|\\##|
|##########|:: \\::/_/;` \\::/_/ :|#\\/|
|###########\: :|#//\|
\#####||\|\|: :|//##|
|####/|:\|:: , .:|####|
\##|##\_: ` ;. :||####|
|##|####|: ';, :||###|
||\|####|: , ;' :||###|
||######|: :||###|
||######'. _ .;/#|###|
"\########\ (_) ;/##|###|
|########\ ;/###|###|
|###|#####\ ;/#####|###|
\#/|#####|;\ ;/####@||###|
|###|` \ ;/######|||###|
\#-| ` .. ;/:|##4#f` |###|
.-';;;| ""--___;/:::|/_ |##|
.-';;;;;;| ':::::::::::|;;'--. |##|
.-';;;;;\;;;| ':::::::::|;;;;;;\ |##|
|;;.;;;..\;/; `::::::::|;;/;;;;\|##|
|;...;.....\ ` `:::::::\/;;;;;;|##|
/.............\ `:::::/;;;;;;;|#|_
/.................\ `::/;;;;;;;;|#|;'-.
/.....................\ /;...;;;;;|#|;;;:"-.
/…………………….\ /……..;;|#|;;:…."-.
/……………………….\ /……….;;||..:……..".
........... ................. ......................................... .... ................. ............................... .. ...........................
...,.....,,.,...,.,,...,,,.,..,...,..,..............,.,.,.,....,,,... ..,.....,,...,...,....,..,...,,.,.,.,.,.,...,.,,.....,..,.,,.......,..,.,..
.,...,.........,.,..........,....,....,.,.............,,.....,,,. ...,.,.,.....,.,..,.............,,.............,...,...,,.......,,,..,.
....................,................ ........................ ............................................................... ...
........................................................... ...............................................................
................................ ........................ ..............................................................
....................................................... ............................................................
........................................,...,........ ...........................................................
.................,.................................. ...,......................................................
................................................... .........................................................
................................................. ........................................................
................................................ .......................................................
............................................... ......................................................
............................................... .....................................................
..... ........................................ ....................................................
............................................. ...................................................
............................................ ..................................................
,.....,..,,........,,.,..................... .,,,....,.........,....,.......,.......,.........
,..........................,................ .,....,........,......,..........,....,......,..
........................................... .*,, .* / ..................................,............
.................... ............... ... .. ,,,,*,,, .,,. ** . .... ....... ........ .... .............. .....
. .... .................................... . ,*,,,,,, ,*, ,,. , .... ..................... ....... ... ......
........................................... , *,,****, * *** .,*, , * .............................................
.......,...,.,........,..,.....,,,......... ,, *.,*/**/// / */ **//. */ *//. ,* .,.,.,...,.........,.,......,,.,..,....,,....
...,...,..,.......,...,,,.................. , *** ///**/ ,/* /* * */*/*/****/****** **, ,. ....,,.....,.,.,,.,.,..........,....,........
........................................... ( .((#/ ****.,/**. ,** ***//****/**,***, . ..............................,..............
.................................. ........ ,/*../ (/(((//(/#(*,,*, *,,,*,,,*,,,,. ,,,,**,,,,,,,*,*,*** .............................. ..............
.......................................... /,/.. ,,,(*(/((./(*,,,*,,,,*,,,,,*,*,*. *,,,,.,,,*,*** . .............................................
.......................................... . * .*//(#//(((((((*,.*(((((/(((((((/(#((/*,,,*,*,.**. ,*,*, ................................................
............................................ ( ##(((##(##%/ ##,###(##(((#(#((#((##((#(*./, ** .*. .** / .(/ ...........,.....................................
..,......,............,..................... *(,((/(((( . .(/(###(#((((##((#(##(((((((#( *** **** */(. .// .................................................
............................................ , ((/(/( #((. / ((((((((((((((##(((((((((#(/.(((/ ,#((* ((/,, ,/* .................................................
............................................ .. (/ ((#(* ,(((( (#(((#(((((((((((((((/#(((((((((((* */** , *(((((, (/ .// .................................................
............................................ ... (/((##((( (##(((###*(((((###(#(((((#/(((##(#((((/((((#(#(//###((((#((./( // .................................................
................................................. . /((#(((( %..#((#(#(((#(#(#(#(#############(#####(########(###((##((((( ....................................,...,........
.................................................. . . ((/###((#(#%(#(##((#(#((#(#(#((((((###(##/#(##(###(#((((((((((/((#(// .................................................
................................................... . .//(((((((((#(/(((((#((((//((//(////#/((/(#(((#(/(/((/((#((###/(((///, .................................................
........ ............................. ............. .. //(*(/(#(/(/(/(/(/((/(*///(/(((*(///((//((/(*((//(//(/(//(//((//*// ..................................................
..................................................,. .... (*(/(((((((/((//((((#(((#(#((//(/((((((((/(((//#(((((((/(((((((/, ...................................................
.............,...,........,,........,.......,........,.,. *((((%#########(###(###%####((##(#%########(##%#(#######(####( ....................................................
.....,.,.............,,......,,....,.....,.,.,.,.,......, .#((((#%#############%#######%#%%(%%##########%###########, ...,...................,................,.,.,,......
......................................................... ////((#((((((#(##((####(((/(###(#(((((((/(((((#((((#( .................................................,...
. .. ................................... ................ . .*(*/(*////*///(///////#//.. ///(////(/(///(//(// ............................... ............. .......
.. .. ....... ...... ..... . .... ... ......... ...... . . *,*////(/*////*(**(*/(/*((/////*/(//(/**/(, . .......... ...... .. . ........ .. ..... ... ......
........... ............................................. . ,. .. .. . . . /*(///(/(/((#((/(((((((*/(/((#(((((/////( .. . . ......................................................
......,,..........,....,.,...............,....,.,,...... ..,... .... .. ...., ,. .((#%##%##%##%%%####(#%(#(##%(#( #####. .......... .. ..,.,....,........,..............,..,..................
.......,.......,.,........,,,.,............,,.,.......,......,,.,......,......,,....*/*/ /(#%####(#####(####%###.#%######.....,....,. . ..........,..........,............,.........,.....,.,...
......,....,.....................,,................,................................***/,*/*(#(. (##((((## ,(#(#(###((#(#............ ...........................................................
.................... ........................................................ ,,***,,,///((((/(/(////(((////(///(((# ....... ....... ...................................................
........................................................................... **,,,,,,((/(///(((/(/(///((/(/(///(( ...... ............................................................
............................................................................ ,,****((((#((/((((/(((/(((((((((, ....... ............................................................
........................................................................... **,*(((#((((#((((#(((((#(#(, ........ .............................................................
...........................,............................................ *,*((#(#(##(##(((##(#((* ........ .............................................................
...................................................................... ****(((((((/((/((/( ....... ..............................................................
............................................................ /**,*/((. ...... ...............................................................
............................................. ...............................................................
............................,.......... ......................................................
.................................... ................................................
................................. ...........................................
......... ................ .. ..................... ...............
..........................., ,................................
.,......................, ..............,.....,........
..,.......,.,.,.,..,.,, .,.....,,.......,......,..
..................... .................,.,....
.......... ...... . .... .................
......... ....... ........ ...........
................ ....................
............... ......,............
.........,..,. ..................
.............. ..................
............. .................
............. .................
............. .................
............ .................
............ .................
............ ..............,...
............ ...................
............... ........,...........
................. ......................
.................... ........................
⠀ (\__/)
( UwU )
_ノ ヽ ノ\_
/ `/ ⌒Y⌒ Y \
( (三ヽ人 / |
| ノ⌒\  ̄ ̄ヽ ノ
ヽ___>、__/
|( 王 ノ〈
/ ミ`ー―彡 \
|╰ ╯|
| /\ |
| / \ |
| / \ |
(*ᴗ͈ˬᴗ͈)ꕤ*.゚
(づ ᴗ _ᴗ)づ♡
o(≧▽≦)o
&%#%##%##%##%##%%%#%%%%%##%%%##%%%#%#%%%#%#%##%%%%%%%#%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##%%%%%
&%%%##%##%%#%%####%###%%%%#%%%%%%%%%##%%%##%%%#%%#%%#%%%%##%#%%%%%%%%#%%%%%%%%%%%%%%%%#%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%##%%%%%%##%#%%%#%%%%%%%%#%%##%%%%%%#%%%%%#%%%%##
&%%%%#####%%%###%#%#%%#%%##%%%%%%#%#%%%%%%%%#%%%%%%#%%%#%%%#%#%%%%%%%%#%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%###%%%%#%%%%%%#%%%%%%%%#%%##%#%#%%%%%%%%%%%%%%%##%#%%%
&%##%#%#%%##%#######%%%#%#%%#####%##%%%%%#%#%%%%%#%######%%#%%%%%%%%%#%%%%%%#%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%#%%%%#%%%##%%#%%%%%%%#%%%%%%%#%%%##%#%###%%%###%#%#%#%%%%#%%%##%%%%
%#%#%%########%%%%##%%%%#%#%##%##%%%##%%%%#%#%%###%%#%##%%%%%%%%%#%%%%%#%##%%#%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%#%%%%%%%###%%#%%%%%#%%%%####%##%#%#%#%##%%%##%#####%%%%%%%%
###############%%%##%%%###%#####%######%###%%%%#%##%#%#%%%###%%%%%%%%%%%#%%%%#%%%##%%%%%%%##%%%%#%%##%%%%%##%###%%%%%%%%%%%%%%%%%%#%#%#%##%##%%%#%%%%%%%%%%#%%##%%%%#%%%####%##%###%#######%##%%%%%%%%
%#%##########%%###%##########%%######%#####%%%#%%#%###%####%##%##%%%%%#%##%###%#%%%%%%%%%#%#%%%%#%##%%%%#%%%%%%%#%%%%##%%%%##%%%%##%#%#####%#%#%%###%%%%%%%%#%%%%%##%%####%%%%%########%%%#%%%%%#%%%%%
%%%%%######%####%%%##############%######%%#%%%%%##%####%#%####%%%#%%#%######%%##%%%%%%%%#%%%%#%%%%#%%%%%%%%#%%###%#%%%##%%#%%%%%%#%%%%###%%%%%%%%###%%%%#%%%%%%%%#%%%##%#%%%%%%%#%%%%#####%%%%%#%#%%##
##%###%##%%###%#%###%#%#%%####%##%####%#####%#%#######%##%#%#%%%#%%###%%##%%%%%%#%%#%%%#%#%##%###%#%%%%####%%###%%%%#%%%%#%%%%#%%#%##%####%%#%%####%##%#%%##%%%%%%#%%%#%%#%###%#%%%%%%%%%##%#%###%%%%#
######%###############%################################%#%#%##%%###%#%%%#%#####%%#####%%##%#%#%###%%%#%%%%##%%##%%%%%%%%#%#%#%%%#%####%###%##%%%#%###%%%##%%%%%%%%%%%%%%%%%#%%%%%%##%%%%%%%%%%%%%#%%%%
##################%######%#####%#########%%####%####%##%%%%#%%##%#%#%######%#####%%%%##%####%%%####%%%%%#%#%%%%#%#%%%%#%%%#%%#%######%%%#%%#######%#%%%%%%%%%#%%%%%%%%%%%%##%#%%%%%##%#%%%%#%#%%%#%#%%
%##########################%#%##%##########%%%##%%%####%###%%#%###%%%%%#%##%#%%####%##%%%%%%##%#%%#%%%%%%%####%#%#%#%###%%%%%#%%#%%###%#%%#%###########%#%%##%%#%#%%%%%%%%%##%%#%#%%%#%#%%%%#%%%%%%%#%##
##########################%###################%#%%%%#(########%%%%%%%%%#%########%%%%%#%#%%###%####%#%#%%%##%%%%%%##%%%#%%##%%%%#%#%%%%%#%#%##########%######%#%#%##%###%%%%%#%###%%%#%%##%#%%%#%%###%
#########%#########################%###%#%%#%#%%%%%%/.........*(#####%##%#######%%##%%#################%%#%###%%%%%%###%%#%%%#%%%%%#%%##%#%#####%####%###%%%%##%%#######%###%%%###%%%##%###%##%###%###
############################%###%#%%%#%%#%#%%%%%%####(............/####%#########################%#%#%%%%####%%%%%%%#%#%%%#%%%%%%%%%%%%###%%#%#%#%######%%###%%#%%#%%%%#%%%##%#%#%###%##%%%%#####%##%%
##########################%#%%##%%#%##%#%%%%%%%#*...................,#########################%##%#####%%%###%%%###%##%%##%%#%%%%#%%%##%#%%%#%#%#####%###%###%##%#%%%%#%%##%%%%%%%%%%%%#%%%%#%%%%%%#%%
%###########################%#####%#%%###%%#%%#*......................../#######################%#####%#####%%#%%#%%%###%%%#%%%%%%%#%#####%#%###%%%#%##%%#%%##%%%%%%%%%#%##%%%%%%%%%%%%%%#%%%%%%%##%%%%%
##########################%#%####%%%%%#%#%/............................/############################%###%%##%%##%###%#####%%%%####%%#%##%%##%%%%#%#%%%%%#%%%%#%%##%#%#####%#%%%%%#%#%%%%%#%%%%%%%%%%%#
################################%#######,...............................(##################%######%%####%%####%#########%#####%###%%%###%##%%##%%%####%%####%%#%%%######%%#%%%%%##%%%%%#%%%%##%%%#%%##
#################################%#%#,..................... ............/##############%############%#####%###########%##%##%############%###%%%%##%%#%%#%#%#%%%%##%%%##%%#%%%%##%%#%%#%%%##%%%%##%%#%
############################%#%##%#%.................... ...... ......*#####################%######%####################%#%#######%%%#%#%##%#%##%#%%%#%%##%%##%%%#%%#%%%####%%%#%%%%%#%#%%%%%##%%%##
###########################%######%,............ ............ ...........###/(,.......*##########%###%%######%####%##########%%#########%%%#####%%%%##%#####%#%#%%%%####%%%%%%#%%%#%%#%##%#%%%%#%%%%%#
################################%%%,.....................................#..........,...*#####%%%%######%#########%#######%###%############%#%%%%###%##%#####%#%%##%%##%###%%%####%%#%##%%##%%%%%##%##
#################################%%*........ ............................................(#######################%############%##############%%%###############%%####%###%###########%#%%%%%%%%%#%%%%#
###############################%#(/,......................................................(#############################################%#####%#############%####%#%%##%#%%%##%##%#%%#%%%%%%#%%%%%###%
#########################%#####(/*/#........... .. .... . ..............................*#############################%##%##%###########%%###%%#%%%##########%%%%##%%%%%%##%#%%%%%%%##%%%%%#%%%%%#%%
#############################//*/####.............................. ........,.............*#######################%%####%###%%%#################%##%%#############%%#%##%####%%%%##%%%%%%%%%%%%#%%%%%%
############################/*,######%%(............... ...... . . .. .................../##############################%##%%########%##%#%#%%%#%##%%%###########%%###%###%%%%%%####%%%%%%%%%%#%%%%%%
###########################(*,,##########,*....... . .......................................(###############%##############%#%#%%%%%##%%%%%%%%%%%%%###%%#%%%%%##%##%%%%%##%%%%%%#%%%###%%%%%##%%##%%%
&%#####################%%####(*,,(#######%**,,,*#(..................... ....(##.................,/##########################%##%%%%%##%%#%%%%%%%%%%%%%%%%%%%%%%##%#%#%##%####%%%##%%#%%%%%%%%%%%%%%%%%%%
############################**,*########%//(###,.........................###(...................,#########################%%%%%%%%#%%%%%%%%%%%%%%%##%#%%%%%%%%%%#%%%######%##%%%%#%##%%%%%#%#%%%%%%%%%
#############%###############*,,*#######%#%%%%%*......................,###%(/..................../##########################%%#%%%%%##%#%%%#%%%%%%%%%%%%%%%%%%%%##%#########%#####%###%%%%%%%#%%%%#%%%
##%##########################(**,*#######%#%#%%%*......................#(((,...................../##############%####%%##%#%%#%%%%%%%%#%%%%%%%%%%%%%%%%%#%%%##%################%%%%#%#%#%%%%%%%%%#%%%%
###############################/**/##########%%%%%,.....,.,.....................................,(########%#####%%%##%%%%%%%%%%###%%%%%%%#%%%%%%%%#%%%%%#%#%%#################%#%%#%%%%###%###%%%%%#%%
################################**,/#############%%#((,.........,....,.........................,(#########%%#%%%%%%%%%%%%%%#%#%%%%%%%%%%##%%%%%%%%%%%#####%%##%###########%%%%#%%###%%##%##%#%#%%%#%%#
#################################****############%####//**(######,....,.........................*#########%%%%#%%%%%%%%%%%%%%%%%%%%#%###%#%##%%%#%#%%%######%#%%%####%########%%#%%#####%###%#%%%%#%%#
#################################(***,##########%######/*/((######.....,.......................,########%#%%%%%%%%%%%%%%%%%%%#%%%#%%%#########%#####%%####%#%%%%#%#%###%######%%##%######%#%#%#%%#%%%#
%########%#########################/*,*/#########%#%#%#//((#######,....,......................(######%##%%%%%%%%%%%%%%%%%#%##%%(/,,,,,,,,,,,,*/(############%%##%####%#############%#######%#%%%#%%##%
####################################(*/**(############%##/########%#......................,/(########%#%%%%%%%%%%%%%%%#%(*,,,,,,..,,,,...,,,,,,,,,,,/#####%##%#%%#%%%##########%########%#####%%%%%%%%
######################################//***(###########%#####%#%######,............(##############%##%%%%%%##%%%%%##%%(*,,.......,,,,...,......,,,,,,,*##########%##%%#################%#####%%#%%%%##
########################################*****#############%##########%###*......./############%##%%%%%%%%%%#%#######%*,,,.......,,,,,,,,,,....,.......,,,/############################%#########%#%%##
#########################################(*/*,(##############%%########%###########%%#%%%%#%%%#%%##%%%%%%%%######%#/*,..........,,,..,.........,.........,,,*###############%###########%########%%##%
###########################################//***(###########%###%#########%%#%####%##%%%%%%%%%%#%%%%%%%%%%#%###%%(//,,............,...............,.........,,,##################%#%###%%#%%##%#%%##%%
#############################################*/**/########################%%######%%%%%%%%%%%%%%%%%#%%%%%%#%%##%%*,,....................................,,,..,,,######%#%####%#%########%%####%%%%##%%
##############################################//***#############%###%%%#%%%%#%#%##%%%#%%#%#%%%%%%%%%%%%%%%%%%%%%%/,,............................,....,..,,....,,*(###############%#####%######%#%##%%#
################################################****(###########%##%#######%#%#%###%#%%%%%%#%%%%%%%%#%%%%%%%%%%%#(,,,,.........................,.............,..,.,#################%%%######%%#%#%%#%
#################################################*****############%%#%%%#####%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%(,,,.......................,,.............,,,.........,(###############%%#%%%##%#%%%%%#%%
#########################################%########/*****###########%#%%##%######%%%%%%%%%%%%%%%%%%%%%%%%%%#(,,,,,.........................,,...,.....,................*########%#######%#####%%%%%%%%%
##########################################%#########*****(########%#%##%###%##%#%%%%%#%%%%%%%%%%%%%%%%%#*,,,,,,,,,............................,.........................###########%######%###%#%%%%%#
###################################################%#(***//##%###############%###%%%%%%%%%%%%%%%%%%%%#,,,,,......,,...............................,.....................(############%########%%#%%%#%
%######################################%#######%#########((/((#%#%################%%%%###%#%%%%%%%%%%%#,,,............,,...........................,......................*/(#################%#%#%%#%#%
#############################%##################%%%&&%%&%&%%%&&&&%###%%%###########%#####%#%%%%%%%%%/,,.,....,................................................................*########%#%######%%%%%#
###############################################/#%##&%%%(/((%#%#%##%(*(#(##%%%%%%%#########%%%%%%%%(,,,,..................................,,,,,..................*..............,##############%%%####
############################%##################,*,*/*(,*.,*/*/,//(*/***,*/*(/((((%%&######%&&&&&%*,,,,,..............................*//,,((#(,................................/############%#%#%#%%
###################################%###%%%%##%%%*.......,,...........,,.,,,,(*/*(((%%%#####*//#%%#&&&%,,,.,..,......................../###(###/(/,............,..................*#############%%%#%##
##########################%####%#%#%%%%%%(,,,*#//,........ ...................,*,*/(,((/*,..,,,,((%%&&%,...............,............../(%%%%%#(.................................,(############%######
##############################%%%%%%%%(/**,......,......... ... ...................,,,..,.......,*/*#%%&&&,,..............,.................,,...................................,(###################
#################################%%#((**...,,............... .... ...... ........................,.,/(%%&&&*..............,......................................................*####################
%###############################%##%%**..... .........*,**............................................,*#%%&&(,.........,...,,...................................................,(#########%###%##%%%##
##################################%*,,........,#%%%##%#%%&&#%%%%&%&%/...........................,,,*#%&&%&%%(,........,...................,.........,..................,.,(#########%%####%%##%%%%
##############################%#######/*....,#####(((#(*/%%#%#/#&&&&&%%%%&%..........................,../(#%#%&&&&*..........................................................############%%##%#%###%##
#############################################(**,.,.,,*,,,,,,**/*%#*(##&%%&,..........................,.,/(/(#&&@&%,,,.......................,...............,..............(#######%##%###%######%#%%
%#%######################################%%#(((,..,........,,,,,,,,***/*%%%%&&,.,........(%&%&%%&&&&&&&.,,*(/(#&&%,,..,,#(,,.............................................../#####%#####%###%##%%#%%##%
%#############################%%%%%%%%%#(/*,,,....... ........./,,,..,,,%%%#&%(....../#%#///,/#/%&&%#%@&&&%//**(/(&&,.......,(&@&,.........................................,(##########%%#%%%%#####%#%#%
########################%%&&%%%#/*(/**,,,....................%,,*..,*/(*((#%/....(%*,.,,,%%,,,*,....,,**#%**((#%%&,........,*&@/,.............,...............,........,/#######%%%%%%%%%%%%#%%##%%%%#
%#########################%&&%((,..............................,(,,,*/#/,**(&%&...(%.....,#/,,,.........*,,*#*/((%#,.......*,##%,,............,......,...........,,**(((((#######%%%%%%%%#%%%%#%%#%##%%%
%#####################%#%%&%##*,.................................*,*****,/#%&&....#,.....,,,..,....,,,,,,,.,,/(#&&/,.......,(%&(,,.......,....................*############%##%#%#%%%%%%%%%%%%%%%%%%%%%%
####################%%#%%%#(.....................,...............,**//(&....../,......,......,,,..,..........,/%%*....,,/#%&%(,...,....,............,,*(###########%%%%#%%#%##%%%%%%%%%%%%%%%%%%%%%#
###################%%%%%&%##*...... ..... ........................,..,*(%&&%*...(%*....,,.,..,,.,.,,,...........//%%,..*/#%%&%%%%%#//*,,,,,,.,,,,,/######%###%%%%%%%%#%%#%%%%#%#%%%%%%#%%%%%%%%%%%%%%%
%##################%#%#%%%%*,....... .. ...............................,*/#%,//&*.........,,,,..,,............,*#%,../%#,,,*#%%%%%%%%%%%%%%#####%#####%%%%%%#%%##%%%#%%##%%%%%%%%%%%%#%%%%%%%%%%%%%%
%####################%#%%%&%%*........ .. . ................... .. ........*&&&/%/.............,................,,*(%*.,#//#%&&&%%%%%#%%%%%%%%%#%#%%#%%#%%%%##%%%%%#%%%#%%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%
%################%######%%%%%,...... .... ...............,*,.................*&%%,................................,*#%(**#%%&%%%%%%%##%%%%#%%%%%%%%%%%%%%###%%#%%%%%%%%%#%%%%%%#%%%%%%%%%%%%%%%%%#%#%%%%
%######################%%#%%%(,....................(#%%&&%%##(%%%%%#(,......%%(**%,,........................ .....,*(%###%%#%%%#%%%%%%%%%%#%%%%%%%%%%%##%#####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%#################%#####%%%#%%%%*................,%&&%%#((/*,,,,****//(##((((/(*/*(*,.............................,/###%##%%%%%%%%%%%%%%%%#%%%%#%%##%#%%#%##%%%%%%%%%#%%%%%%%%%%%%%%#%%%%%%%%%%#%%%%%%
%######################%%%%####%%/,...........,#%#%%##/***,,,,...,,.........*((#//(/....*(,..,............ ......,,/%#%%#%#%%%%%%%%%%%%%%%%%%%%%####%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%#######################%%#####%%*,......./#%%%&%&%(*,,....,,,,,...............,**,........,*##*...............,,*(&&%###%%#%%%%%%%%%%%%%%%%%#%%#%#%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%################%##########%%%#&%/,......,%(#%%/,.........,.,,,,...........................,*#(#&...........,(%%%#%#%#%%#%%%%%%%%%%%%#%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%
%#########################%%%%%%%&&&%*,*,,%#%#(*,,......,....,,,,,...... ...................,,,,*%&&&%*.......,(#%%%#%#%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%##########################%%%%%%%&&&%%&%,#%#(/...............,,,........................,...,,**(%&&%#(.......%%#########%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%########################%##%#%%#%%%%%%#%##%%%/,,,,.,....,,,....,.,.,,,..................*..,,,**((#%&%#%*....#*,*%%%#%%#%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%########%###############%##%%%%%%%#%%%%#%&&@&%/,,..................*...,.,.....,........,....,//*#%&#%,....%*/%,,*%%#%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%#########%#####%#######%######%#%%%%%%%%&&&%##/*,,...............*,,,..........................,,,*/#%&%%........,,*/#%#%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%#######################%#%%%%%#%#%#%%%%%&&&&%#/,.................,,.............................,**/#%&&,....,,*(%%#%%%%%%%%%%%%%%%%%%%%%##%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%#######################%%%%#%#%%%%%##%%%&&&&%#*..............................................,..,//(%&%&%/......,/(%&%%%%%%#%%%%%%%%%%%%%%%%#%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%#################%#%#%#%#%%%%#%%%%%%%%%%%&&&&%(*..................... ......................,*,/%%&&&&&&%,,,,,..,,,*#%%##%%%#%%%###%%#%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%###%#########%###%%%%%%%%%%%%%%%%%%%%%%%%%&&&&/*,,.........................................*%%&&&&&&#%#%%%#//###%%#%%#%%%%%%%%%%%#%%##%#%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%#############%%%%#%#%%%##%%%%%%%%%%%%%%%%%&&&&%*.......................................,.,*(#%%%#%%%/*,,*#%#####%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%#######%########%##%###%#%%%%%%%%%%%%%%%%%%%&&&&&%,,,.,,,..............................,,,,*###&(####%**,,*#########%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%###########%###%#######%####%%%%%%%%%%%%%#%%%%%&&&&&%((###*(/.....,,,/(/.........,......**/#%%&&*(####%***,#%%##%#%###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%###########%######%%%%%%%%#%#%%#%%%%%#%%%%%%%%%%%%%%%%&%%%&%(*,*#,/#%#%(,.............../##&%#/***#####*,,*####%##%#%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%#########%#####%%%%%%%%%%%%%%%%%%%%%%#%%%%#%%%%%%%%%%%%%%%%%%##########/.........,....*(#&*.,,**/(###(***/##%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%###%#####%#########%%%####%%%%%##%#%%%%%%%#%%%%%%%%%%%#%%#%%%%%#########(/*,.*,..,.,,/((%%#,..*///###(*,,/%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%####%#%%#############%%#%%%##%#########%%%%%#%%%%%%%%%%%%%%%%%%%######%%%#((/(//*/(%%%#%##/,.,*//*##//,*/##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%#######%#####%##############%####%%%##%%%%#%#%%%#%%#%#%%%%%%%%%%%%%##%#%%%%%#%%###%%%%%%%%%#,,,**/*(#/*,,(%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%###########%#%##%##########%#%#%#####%%%%%%#%%%#%%%%%%#%#%%%%%%%%%%%#%%%%%%%#%####%#%%%%%%%%#(,,,***(%*,,,##%%%#%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%##########%##%######%##%%#%%%%##%###%###%%%####%%#%###%%##%%#%#%%%#%%%%%%%%%%%%%#%%%#%%%%%%%%#,,,**//#****##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%###%#%#%###%#%#%##%%%#%%%%%%#%#######%%%%%%%%%#%%%%###%%%%#%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%/,,**(*#**,*#%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%##%########%%####%##%#%#%%%%%##%#%###%%##%%##%#%%%####%%%#%%%%#%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%(,,,*/*(****#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%#######%%%%%%##%#%#%%%%%#%#####%#%#%##%%##%###%%#%%%%%%%%%%#%##%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%*,***//,*,*##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%###%%#%##%##%%#%%%%%%%#####%#####%#%#%%###%%##%#%#%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%/,**(//,,**##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%#####%##%##%%%%%%%%%#%%%%%%%#%%#%#%#%%%%#%%#%%%%%##%#%%%%%%%%%%%#%%#%%%%%%#%%%%%%%%%%%%%%%%%%%%,/*/(*,***##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%####%##%#%%%%%%#%#%%#%%%%%%%%%%%%%%#%#%#%%%#%#%%%%#%#%#%#%%#%%%%#%%%%#%%%##%%%%%%%%%%%%%%%%%%%%/***#****/#%%%#%%#%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%#####%#%#%#%#%###%%%%%%%%%%%%%%%#%%#########%##%%#%####%#%##%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%##**,(*,**/##%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%######%%####%#%###%%%%#%%%%%%#%#%#####%%#%##%%%%%%##%###%#%%%%##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#**,/*,***###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%##%##%##%%#%%%#%%%%%%%#%%%%%%%%%%%%#%#%%%%%%%%%%#%##%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#**///*,*/%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%#%%#%#%##%####%%%%%#%%%%#%#%#%#%#%%%%##%%%%%%%%%%#%%%##%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%(****(*,*##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%##%############%%%#%####%%####%%#%#%%%%##%#%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#*,*//*,*#%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%#######################%##%#%%%###%%#%#%%%%%%%%%%%%#%%%%%%%%%%%#%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%(****/(,*##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&
%#############%%%###%##%#%#%%#%#%###%%%%%%%%%%#%%%%%%%%%%%%%%#%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%/*/**//,(#%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&
%##################################%%###%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%/*/**/*,##%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&
%#############################%#########%#%%##%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%/**/*//**######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&
%#######################%#############%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%(*///(//##%%#%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%################################%###%%%%%%%%%#%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#//*////%#%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&
%#####################################%#%%%##%%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#/**///(%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&
##########################################%######%#%%%%%%%%#%%%%%%%%%%#%%%%%%%%%%%%%%%%%%#%%%%%%%(/***//#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%#########################################%####%####%#%%%%#%%%%#%%%%%%%%%##%%%%#%%%%%#%%%%%%%%%%%(//**//#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%##########################################%#%##%#####%%%%#%#%#%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%(((/#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%##############################%###################%%##%%%##%#%%%%%%#%%%%%%%%%%%%%%#%%#%%%%%%%%%%%%(#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
#####################################%#######%#####%%%#%#%%##%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&%
#########################%###############%%#%#####%###%##%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%#######%###############################%#%%%%#######%#%%%#%#%##%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
#####################%####%%########%%##%#%%%%##%%##%%%%#%%##%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%######################%##%##%#########%%###%%#%%%%#%#%#%%%#%%%#%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%###################%%###############%#%%%#%%%%##%#%#%#%##%#%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%###############%###################%%##%####%%#%%#%%#%%##%###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%#%#############################%%#%##%#%#####%####%%%%%%%#%%#%%%%%#%%%#%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&
%%##########################%##%#%#%%%%%####%%#%%%##%%%%%%%###%%%%%%%%%%%%%%#%%##%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%#%#%%%#%%%%#%%%%%%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##%%%%%%#%%%%%%%%#%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&%%
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡦⠿⠛⢚⣂⠀⠉⠐⠛⠳⠶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢔⣿⣿⠅⠀⣀⠀⠻⠟⠃⠒⠒⠦⣤⡀⠀⠉⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣽⠿⡉⠁⠠⣴⣧⠀⠀⠀⠀⠀⠀⠀⠀⢸⣲⡆⢀⣬⡻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢾⣿⣏⣤⣿⣷⣾⣿⣿⠛⠚⣆⡀⣤⣤⡰⡟⢉⢹⣿⣿⡇⢸⣾⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠛⡿⣷⣿⣿⣿⣿⠉⣿⢻⣿⣿⢉⣿⡏⣿⡏⡇⠹⡟⡟⣟⠻⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢻⣿⣿⣿⡿⣸⡿⣼⣿⣿⣾⣿⢧⣿⣿⣇⡤⣿⣷⣸⡄⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⣿⣿⣿⣇⡟⠇⢈⡏⠿⢿⡇⠘⠿⢹⣇⣸⠏⠸⠇⠧⣼⣿⣿⣿⣿⣿⢿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⡆⠾⢿⡿⣿⢿⠂⠀⠀⠀⠀⠟⡷⣶⡾⢿⡷⣿⣿⣿⣿⣿⣿⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢿⣿⣿⡘⡄⠘⠦⠭⠌⠀⠀⠀⠀⠀⠀⠳⣈⣁⡜⢀⣿⣿⡏⣿⣿⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⢷⣽⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⢼⠟⢿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢿⣭⣙⠛⠛⠒⠶⢤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⣹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⢹⡿⢟⣉⣉⡀⠈⠙⠳⣦⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⢠⣤⣄⡀⠀⡯⣿⣷⣦⣄⠀⠙⠀⠘⠋⠀⠀⢀⡠⡾⠋⢿⣿⣿⡽⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢸⣯⣐⣈⡟⠙⠀⠀⠀⠙⣧⠀⠀⠀⠀⠀⠘⠿⣭⣍⣉⡛⠛⠛⠛⠷⢿⣿⣿⣏⣉⣙⣶⣦⣀⡠⠴⠊⠉⠀⠿⣄⣤⣿⡿⢿⣾⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠈⠓⠶⠿⣤⣀⣀⡀⠀⠀⠈⢷⣄⠀⠀⠀⠀⠀⠀⠈⢹⡇⠀⠀⠀⠀⠀⠹⡀⠀⢠⣿⠋⠁⠀⣇⠀⠀⠀⠀⢀⡾⠃⠀⠀⠀⠀⠙⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⡀⠀⠀⠀⠻⣦⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠹⣄⣿⠃⠢⠤⡀⠙⠀⣀⡤⢤⣾⣁⡆⢀⣀⡀⠀⠀⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠀⠀⠀⠙⢷⣄⠀⠀⢰⡞⠳⣶⡠⠤⠤⢤⣄⠀⠀⠙⣾⣷⠶⣖⣒⣀⣘⣂⣒⣾⣓⣒⣒⣒⠢⣬⣕⡉⢿⠻⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣄⠀⠀⠀⠀⠙⢷⣴⠾⠻⡆⠈⢿⠄⠀⠀⠘⣆⠀⠀⠈⠻⣞⡋⠤⠤⠤⢤⠜⠃⠐⠋⠀⠀⠈⠉⠛⢿⣾⣵⣜⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⠀⠀⠀⠀⠈⠁⠀⠀⠙⢺⡀⢻⣆⠀⠀⢈⣦⠀⠀⠀⠙⢟⠻⢯⡍⣸⣤⣄⡀⠀⠀⠀⠀⢀⢀⡼⣟⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡄⠀⠀⠀⠀⠀⠀⣀⣼⣧⣄⣽⣲⣲⣻⣹⢦⠀⠀⠀⠀⠻⡟⠯⡅⠀⠉⠺⢕⣆⠀⠒⠁⡏⠀⣿⢹⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⣀⣀⣤⡶⠟⠋⢹⣿⣿⢻⣿⡏⣿⣻⠀⠳⡀⠀⠀⠀⠙⠎⠑⠒⢺⡀⠀⠱⡵⢶⡊⠁⠀⣟⣿⠘⣟⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠘⢿⣿⡿⠼⠇⠙⣿⠀⣀⠹⡀⠀⠀⠀⠀⠀⠀⢠⡽⣻⣾⣿⣤⣿⣄⠀⣿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠛⠀⠙⣄⠀⠀⠀⢀⡼⠃⠀⠈⠙⠛⠿⣟⢿⢷⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣽⡀⢀⡀⠈⠳⠤⢖⡉⠀⠀⠀⠀⠀⠀⠀⠈⠿⠾⣏⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣳⡌⣩⠀⠀⠀⠘⠻⠀⠀⠀⠀⠀⠀⢀⡀⠤⠂⠉⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠛⢿⣖⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣘⣝⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠉⠉⢾⡦⣀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢯⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢵⡦⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠿⡦⡀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢞⣄⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢫⣧⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠃⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢫⣣
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣵
⠀⠀⠀⠀⢀⣠⣤⣀⠀⠀⡠⠖⠉⠉⠉⠑⠒⠤⣤⣀⣀⠀⠀⠀⠀⣠⠤⣄⡀
⠀⠀⠀⢰⣣⠒⡶⢮⢣⡜⣀⡀⣠⡀⢀⡠⣄⡀⠀⠀⠀⠑⠦⢤⠞⡔⠏⠲⡼⡄
⠀⠀⠀⡎⡇⢀⡴⠜⠒⠙⢚⢏⢀⡪⢬⠙⠛⠃⠀⠀⠀⠀⠀⠈⠀⣧⠢⡀⢸⡇
⠀⠀⠀⡹⠋⠁⠀⠀⠀⠀⠙⠿⠉⠻⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠈⢁⡇⣜⠇
⠀⢀⠞⠀⠀⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠉⠉⠡⣺⢺⡇
⠀⣾⡄⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠹⠤⠤⠚⠁⣸⡇
⠀⢹⣷⠀⢸⠐⠢⢄⣀⣀⣀⣀⣀⣀⣀⣀⣀⠤⠊⠉⠀⡇⠀⠀⠀⠀⠀⢠⣾⠁
⠀⠀⢻⣧⢸⠀⠀⠀⠉⠑⠓⠓⠛⠚⠋⠉⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⣼⡯
⠀⠀⠀⢿⡅⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⢰⡿⠁
⠀⠀⠀⠘⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠆⠀⣠⣿⠃
⠀⠀⠀⠀⠹⣧⡀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠇⠀⣰⡿⠁
⠀⠀⠀ ⢻⣧⠻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠃⢠⣾⠟⠁
⠀⠀⠀⢻⣧⠙⠿⣶⣆⣀⣀⠀⡀⢀⣤⣼⠯⠁⣰⡿⠉
⠀ ⠀⠀⢿⣶⣀⠀⠙⠛⠛⠟⠻⠻⠛⢉⣤⣾⠋
⠀⠀⠀⠀⠙⠿⣶⣄⡀⠀⠀⠀⠀⣴⡾⠟⠁
⠀⠀⠀⠈⠛⠻⠻⣾⣾⠟⠋