- Country: United States - Location: St. Agatha, Maine (early); Sherbrooke, Quebec, Canada (later) - Status: Changed name - Formed in: 2016 - Genre: Atmospheric Black/Doom Metal - Lyrical themes: Conservation, Despair, Ecology, Anarchy, Animal Liberation, Misanthropy, Sorrow - Record label: Unsigned/independent - Years active: 2016, 2016-present (as Pillars of Palus ) # Discography Type Year 1
The Wind Beyond the Wounds
Single
2016
Show album
2
Earthsaver
Full-length
2016
Show album
3
Le décomposition de l’humanité / Hjem blant skyene
Split
2016
Show album
Close
Type:
Single
Release date:
May 19th, 2016
Catalog ID:
N/A
Label:
Independent
Format:
Digital
Members
Nathan Guerrette
Everything
Tracks
1.
The Wind Beyond the Wounds
37:01
(loading lyrics...)
37:01
Close
Type:
Full-length
Release date:
June 10th, 2016
Catalog ID:
N/A
Label:
Independent
Format:
Digital
Members
Torchbearer
Everything
Tracks
1.
Resting Place
01:49
instrumental
(loading lyrics...)
2.
Human Filth on Green Earth
12:10
instrumental
(loading lyrics...)
3.
Preservation I
14:23
instrumental
(loading lyrics...)
4.
Preservation II
05:27
instrumental
(loading lyrics...)
5.
Home of the Elk
15:47
instrumental
(loading lyrics...)
49:36
Close
Type:
Split
Release date:
July 5th, 2016
Catalog ID:
N/A
Label:
Independent
Format:
Digital
Album versions
Release date
Label
Catalog ID
Format
Description
July 5th, 2016
Independent
Digital
June 19th, 2017
Depressive Illusions Records
cut 2794
Cassette
Limited edition
Members
Crown of Asteria
Meghan Wood
Everything
Bogland
Torchbearer
Everything
Tracks
1.
Bogland -
Triumph of Grey Autumn
31:11
(loading lyrics...)
2.
Bogland -
Gates to the Northern Lights
05:45
(loading lyrics...)
3.
Bogland -
Twilight’s Foliage
09:51
(loading lyrics...)
4.
Crown of Asteria -
Sognefjorden
07:10
(loading lyrics...)
5.
Crown of Asteria -
Journey to Feigumfossen
08:10
(loading lyrics...)
6.
Crown of Asteria -
The Giants Crowned in Mist
05:11
(loading lyrics...)
7.
Crown of Asteria -
Solvorn
03:39
(loading lyrics...)
8.
Crown of Asteria -
Sleeping Beneath the Midnight Sun
02:17
(loading lyrics...)
01:13:14
Close
Type:
Split
Release date:
July 5th, 2016
Catalog ID:
N/A
Label:
Independent
Format:
Digital
Members
Crown of Asteria
Meghan Wood
Everything
Bogland
Torchbearer
Everything
Tracks
1.
Bogland -
Triumph of Grey Autumn
31:11
(loading lyrics...)
2.
Bogland -
Gates to the Northern Lights
05:45
(loading lyrics...)
3.
Bogland -
Twilight’s Foliage
09:51
(loading lyrics...)
4.
Crown of Asteria -
Sognefjorden
07:10
(loading lyrics...)
5.
Crown of Asteria -
Journey to Feigumfossen
08:10
(loading lyrics...)
6.
Crown of Asteria -
The Giants Crowned in Mist
05:11
(loading lyrics...)
7.
Crown of Asteria -
Solvorn
03:39
(loading lyrics...)
8.
Crown of Asteria -
Sleeping Beneath the Midnight Sun
02:17
(loading lyrics...)
01:13:14
Close
Type:
Split
Release date:
June 19th, 2017
Catalog ID:
cut 2794
Version desc.:
Limited edition
Label:
Depressive Illusions Records
Format:
Cassette
Limitation:
66 copies
Members
Crown of Asteria
Meghan Wood
Everything
Bogland
Torchbearer
Everything
Tracks
Side A
1.
Bogland -
Triumph of Grey Autumn
31:11
(loading lyrics...)
2.
Bogland -
Gates to the Northern Lights
05:45
(loading lyrics...)
3.
Bogland -
Twilight’s Foliage
09:51
(loading lyrics...)
Side B
4.
Crown of Asteria -
Sognefjorden
07:10
(loading lyrics...)
5.
Crown of Asteria -
Journey to Feigumfossen
08:10
(loading lyrics...)
6.
Crown of Asteria -
The Giants Crowned in Mist
05:11
(loading lyrics...)
7.
Crown of Asteria -
Solvorn
03:39
(loading lyrics...)
8.
Crown of Asteria -
Sleeping Beneath the Midnight Sun
02:17
(loading lyrics...)
01:13:14
Band ascii art
........................................................................................................................
........................................................................................................................
........................................:...............................................................................
.......................................,,...............................................................................
....................................,.:,,...............................................................................
....................................:;,.,..,............................................................................
...............................,.:*;::,.................................................................................
.............................::.;*;;:,:,,,..............................................................................
............................;:,+?::,::::,,....,.............................................,...........................
..........................,+,.;%:+:,:*;;:;+?*;;,............................................;:..........................
...........................+*;+S:*:,+*+%###SS#S+:,..........................................?;..........................
.........................,,;?%+%?++??##SS%+**%#S?:..............:..........................:S?..........................
.....................,:;;+;**%SSSS%SS#%?+;++;?S%?:..............;..........................;?#:.........................
....................:,,.,+,;%*:*?####%*++;;:;??;*..............,+,........................,*%S+.........................
..................,:,.;::;,.;,;:?S###*++;,:;;::;;,.,.......,:,.:;,..,,................,.,.:*%%?.,,......................
..................+:..:..;;,:;*+*S###%%S?*?,:,,,:....,,...;;+:.+;:.,*+:..............,,,::+*?%S:.,......................
..................;:..,:,,:;:++;;%###S%+:,.,......;:..*:.,+,...*%+...;?,...........,,,,.;;*;*?S*....:...................
...................:,..,::.,,:*++%###?;;:,:::....;?*:*?..:::.,:%S*...;++.:,......,,,::,::++;*%??::..,...................
....................,,,,,.,.,+;;+%#SS++;.:::,.,,.,*%%?::*::;,,*S#*,.:::::++...,.,:,.,,.::*;+?%%*,,......................
..........................,,,;::+*S%%*?*+;;;::,.,.,++?::+,,?*,+%#?;+*+:;??*:,;,.;:++:,;;;+;;*?#+,::,,...................
......................,,.,,,,,;?SS?*?????S%?%%*:,.:;,%%;..:?%*;%#%%?*;***+?%*;:+,,%;++;++;+:+%S+;;+:.,:.................
.....................,;..,:.:;;;?%?%S%%?**%%?%SS?+,,*?%%::?;;*++#%*,,:*:::;+%?;?:+?*??*:**+:*#*:::::,,,.................
....................,:;..;,,:,:;+*??S*;:::?%*+%@#%:;*;+S*??*+;;+#*,,,.:+%%??%%+%%??SS***+?**?%++:;:;;,,.................
.....................;*..,..,;*;+%*??:,**.+?%+*S##?;?,+%%?%;*S;+#:,::,,;S;;,?%?#+,:;#*+?%%%S?*:*++::,...................
.....................:++,,::+;;:+SSS?;:;+.,S%*?S##S;?*+S+;%?*S++#*.,,:,,*?+*+%?S;::.%+*%%%?#??:,;*,,,...................
.....................:.,,,:++:;+?##%??;;*;+%%?*#S#S+,%S+:,.S%*;*S%;.,:,:;*??:??%?:;;%+??%%?#??;:+:......................
.....................,;*::,,::;:?#*;;*S++;++?%*###%.,%:.;,,?;:+SS?*..,:*?+:,,;?*%;,+??*;%S%#?S*,........................
......................,.+:..:,++%%;:.:+;++;*%%%S%%;.*+,.,.++:+:+*?%*+*?*:,..,,;+;,.+%??S*?****;;,,,.....................
........................+,::+:*%S%:,.::,,;?%%*%%%?,,;:,.....,:.:;+:+*+:,......++.:,?%;?S%%+:?+?+:.......................
........................,*+:+:?S%S?;,::;?S%*+*?;*+.+,:.....,:..:;:,::.........++,,,?S:++;+,,?+:;:.......................
.........................,;:++S%??###S%SS?;:++*+:..*:,.....;;,..:.............;:,:.+?:,,,...?S*+?,......................
....................:,...,;+%SS%%%#%?##S+;::;,;,..:,......,,...,..............:,...:;*,;+?*+%S?*+;......................
....................;,::+%?**?S%%S**SS*:.,::.,,...,.......,...................:....::+?:?%%%%?*::,......................
....................,;::;;,.,;*%S*;?*,....:..,.....,..........................:.....:;*%%%+?*;.:,.......................
....................,:,.......,+%;;,......,...................................,...,.,,:*S?+%+,.:........................
...............................,?::.............................................::,:,,:;?%*+,...........................
................................;;;............................................,,.;;:.:;+%+,............................
................................:;:............................................:,.;::,++;*,.............................
.................................,..............................................:,:::;;:;:..............................
.................................,,..............................................,::;:,,................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................
........................................................................................................................ %%%%%%%%%%SSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%SSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%SSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%SSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%SSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS%%%%%%%%%%%%%%%%%%%%%%S%%%%%%%%%%%%%
%%%%%%%%%%%SSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%S%%%%%%SSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%SSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%SSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%SSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%SSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS%%SSSSSSSSSSSSS%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%SSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS%SSS%%%%%%%S%S%%SSS%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%SSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%SSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS%S%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%S%SSS%S%SSSSSSSSSS%%%%%%%%SSS%SS%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%SSSSSS%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%S%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
SSS%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
SSSSSS%%%%SSS%%%%SSS%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
SS%SSSSSSSSSSSS%SSSSSSSS%S%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
S%%SSSSSSSSSSSSSSSSSSSSSSSS%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
SSSSSSSSSSSSSSSSSSSSSSSSSSSS%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
SSSSSSSSSSSSSSSSSSSSSSSSSSSSS%S%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%SSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS%SSSSSS%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%SSSSS%%SSSSSSSSSSS%%%%%SSSSSSSSSSSSSS%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%SS%%%%%%%S%%%%%%%%%%%%%%%%%%SSSS%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%SSS%%%%%%%%%%%%%%%%%%%%%%%%SSS%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%SS%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%SSSS%%%%%%SSS%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%SSS%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%SSS%%%SSS%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%SSSSSSSS%SS%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%SSSSSSS%SSSSS%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%S%%%SSSSSSS%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%SS%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%SSSSSSS%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%SS%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%SSSSSS%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%SSSSSSS%%%%%SSSSSSSSSSSSS%%%%%%%%%%%%%SSSSSSSSSSS%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%SSSS%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%SSSS%%%%%%%%%SSSSSSSSSSSS%%%%%%%%%%SSSSSSSSSSS%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%SSSSSSS%%%%%%%%%%%%%%%%%%SS%%%%%%%%%%%%%SSS%%%S%%SS%%%%%%%%%%SSSSSSS%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%S%%%%%%%%%%%%%%%%%%%%%SSSSSSS%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%SSS%%%%%%SSSSSSSSS%%%%%SS%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%SSS%S%%%%%%%%%%%%%%%%%%%%SSSS%%%%%%%%%%%%%%%%%%%%%%%%SSSSS%SSS%%SS%SSSSSSSSSSSSSSSSSSS%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%SSS%%%%%%%%%%%%%%%%%%%%%SSSSSSS%%%%%%%%%%%%%%%%%%SSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%S%%%%%%%%%%%%%%%%%%%%%SSSSSSS%%%%%%%%%%%%%%%SSS%%SSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%SSSSSSSSS%%%%%%S%%SS%*;:::;%SSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%SSSSSSSSSSSSSSSS%S?:::::;:?SSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%SSSSSSSSSSSSS%%%S+;;:::;:+SSSSSSSSSSSSSSSSSSSSSSSSSSSSSS%%%%%%%%%%%%%%%%%%%%%%%%%?
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+;+;:;;:;S%SSSSSSSSSSSSSSSSSSSSSSSSSSSS%%%%%%%%%%%%%%%%%%%???????
%SS%%%%%%%%%%%%%%%%%%%%%%%%%%%?%%%%%%%%%%%%%%%%%%%%%%%%%;:,,,,;%%%%SSSSSSSSSSSSSSSSSSSSSSSSS%%%%%%%%%%%%%%%%%%%%%???????
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%*:,.,,+?%%%%%SSSSSSSSSSS%%%%%%%S%%%%%%%%%%%%%%%%%%%%????????????
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+.::,,,,,+?%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%????????????????
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%SS%%%%%%%S%*;,...,::,....,:*%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%????????????
???%%%%%%%%%%??????????????????????%%%%%%%%%%%%%%%*,.......,.........;%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%???????????
????%%%%%%%%%%??????????????????????%%%%%%%%%%%%%?....................+%?????%%%%%%%%%%%%%%%%%%%%%%%%%??????????????????
???%%%%%%%%%%%%%%?????????????%%%%%%%%%%%%%%%%%%%;.....................+??????????%%%%%%%%%%%%%%%%%%%%%%%%??%%%??????%??
???????????????????????%%%%%%%%%%%%%%%%%%%%%%%%%?,....................,;????????????%???????%%%%%%%%%%%%%%%%%%%%????????
******????????????????????????%???%%%%%%?%%????%?:....................;????????????????????????????????%?%%%%%%%%%??????
??*???????*?*****?????????????????%??????????????:....................;??????????****??**?????????????%%%%%%%%??????????
******************????????????????????????%?????*:,.:,............,:..:******??????********?????????????????????????????
*????**************************??????*???*;+?????:..;,................:?******++;+++*++?????????????????????????????????
;;;;++++++++++++++++++++++++,,,;+;;::,;**;..,;++*:....................:;;::,,,....,,,,.;*+*****************+++*??;;+*+;;
,,,,,,,,,,,,,,,,,,,,,,,,,,,.............................................................,,,,::::,,,,,,,,..,....:,......,
;;;;;;;;;;;;;;;;;;;;;;;;;;;:,,::::::::::::,:::;::;::................:,:::,,,,,,,,,,,,,,,,:::::::,:,,,,,,,,,,,,:,,,,,,,,,
***********************************?**???***???????*................****************************************************
***************************************************+................;***************************************************
***************************************************;,,..............;**************************************************+
***************************************************;;;;:,,..,,:::::.;************************************************+++
+**********+*++++++*+++****************************;;;;;::,,::::;;;,;**********************************************+++++
+**********+++++++++++++++++***********************;+;;;::,.:::::;;::*++++++++********************************+*++++++++
+++******++++++++++++++++++++++********************;;;;;::,,,:,:::;:,*+++++++++++++++++******************+*+++++++++++++
++++++++++++++++++++++++++++++++*******************;:;;:::.::,,;:;;:,++++++++++++**********************+++++++++++++++++
+++++++++++++++++++++++++++++++++******************::;;;:,,++,::::;:,+++++++++++++++++*+***************+++++++++++++++++
+******+++++++++++++++++++++++++++++++*************,.;;::,:++:,::::;,+++++++++++++++++++++++*+++++++++++++++++++++++++++
*******++++++++++++++++++++++++++++++++************:.;;:,.;+++,,:,:;;++++++++++++++++++++++++++++++++++++++++++++++++;;;
*****+++++++++++++++++++++++++++++++++++++++++++++*,.:;:::++++:,::,:++++++++++++++++++++++++++***++++++++++++++++;;;;;;;
++++++++++++++++++++++;;;;;;;;;++++++++++++++++++++;,,::::+++++;,:,:;*************+++++++**++***++++++++++;;;;;;;;;;;;;;
+++++++++++;;;+++++++;;;;;;;;;;;++++++++++++++++++;:,..,;++++++;....:+************++++++++++++++++++++++;;;;;;;;;;;;;;;;
++++++++++;;;;;;;;;;;;;;;;;;;;;;;+;+++++++++++++++;,...,++++++++,...,+********+*++++++++++++++++++++++;;;;;;;;;;;;;;;;;;
++++++++;;;;;;;;;;;;;;;;;;;;;;;;;;;;;+++++++++++++:,...,++++++++,...,+*******+++++++++++++++++++++++;;;;;;;;;;;;;;;;;;;;
;;++++;;;;;;;;;;;;;;;;;;;;;;;;;;;;;+++++++;+++++++:,...;++++++++;...,++++++++++++++++++++++++++++++;;;;;;;;;;;;;;;;;;;;;
;;;;;;;;;;;;;;;;;;;::::;;;;;;;;;;;;++++++++++++++;:,..,+;;+;+;+++,..,+++++++++++++++++++++++++++++;;;;;;;;;;;;;;;;;;;;;;
;;;;;;;::::::::::::::::::;;;;;;;;;+++++++++++;;;;;:,..;;;;;.,,;++:..,;+++++++++++++++++++;;;;;;;;;;;;;;;;;;;;;;;;;::;;;;
..............................................................................................................................................................,.....................
.......................................,,...........................................................................................................................................
.......................................................................................,,.,............................,;::,,,,,....................................................
....................................................,:..........................,*+::;.+?+%:...........................:,,::,,::.,..................................................
..............................................,,::;;;:,,,,,,,,,.................:+*+*:;*+*%*........................,..,,,;;:,,.,:,.,.......:,......................................
...........................................,:;::,,:::,,,.,,,,................,:;*S;?:,?*++?*,,,...........................,,,,,,,,,,;:,,,..,+,......................................
.....................................:+:,:,:;;;;;;:,..,;+;;,.................;%*%?+;.,;*;;;+*++,............................,:;;:::,:;;:;,:::,::,...,;:.............................
.....................................,,::::;::;;:,....,:;::,................:;?%?+*....,+,.+?%#;............................:;;:::.,::::;;+;,.,,.,:;;,..............................
.......................................,,;:;+:::::,.,,,,...................;?*++;*;.....,,.,;?S%:...........................:;+::,::,..,;;;;,..,*+:,................................
..................................,:+,,;,,;++:,,,,,,;++;;,.................+?+?:,,,.....,+:,.;%%+.........................,.:++;;;;;;,:+;;:::;*++:..................................
.................................,,:*;;+;+;,::;:::::;:;;+:;,...............+%*;.:+:,.....,:+::*S?.........................,:;+;:,,:+;;;::,.,::?+....................................
............................:*,..,,:+:*+;,,;;;+;..,:;:..,,,,...............,?S;.;+;,.......:,;+??,........................;+;:,.,..:;:;::,,+;;;::,..................................
.............................:;,,,...:+;:++;:+;+*::,.:::,...................+%*..*,..........;;?*............................,;;;,.,,,:,,::;,.,,,;..................................
................................:;:...,..:+;+;;+*;:,,+;*:...................;#?,,,...,*?,....,?*+........................,;::,,::....,,:;;,,:;;;,,..................................
.................................:;::.::.;:,,:;:,....,,,,,..................,+S++,..,*S@%...,*?+;.....................,:::;:;::........,...,;;:,..,:?;..............................
...................................:+,+,.::,.,.,....,,,,,.,,.,,:............;%?%?;..+*?@@?..+*S%;....................,::;:,..,::;;;+++;;;;::::;+?S##*...............................
..........................,,.........,;,,;.....,,...::,:,:;:,:;:.............+##S?+:?+S@#@;?S@%,.......................,:;+??%%??%%SS##@#@@@@@@@S?;,................................
..........................:%?+::,,,,:;+*%S%%SSSS%%*+;;::;:.,,.................:S@S#S*?S#@#S@@*.....................:;+%*;+%@SSSSS@@@#@@@###%%*;,.............,......................
...........................:?#@@@@@@@@@@@@@@@@@@@@%%???????+;;:,,..............,%#@@#S#@@@@@*..................,;+?+;*@*S%@#S%%*;;+:::;:,,..........................................
.............................,:+??**+*#S??%%?S##@@#@@##??*?*?%%*;,..............,#S#@@#@@@@S................,;+S%**?+#@@#%*,.........,,,,,,,,.......................................
........................,,,,...................,,+??S#@@@?*?:++?S?;,.............:#%#@@@@@@+..............:+*???#?%@#@S;,:,.,..,:::,.:;+++:;:,......................................
...........,.......;*;:::;+**++;,.::::;::;::::;;:::..,*?%@%S??:,;*#S+,............*@@#@@@@@,............,*?:?;?*###?+:.,:;;:,,,,,:,.,:;;;;..........................................
...........:;++:,,.,+???*?????**+;?%%%*?%??*****;+;;+,...;?%@@S%*,**?S+,..........,#@@@@@@S...........,;?++?*%#@@#+..,,,,,,::::,,,,.:;::::,.........................................
............,;?%??*+;;*??S%%%%?**??*?*;;;;;:;+*??*+;+;:,,,..+#@##S#%?%SS:..........*@@@@@@%..........,*+.;S@@@@?;,.::::..,,:,;?*???*;;+;,...........................................
.......,.......:?SS#%??%?%%??%%**;:,...,:;+++???*?*+;++;;*;,.,;#@@#S?*?S#*,........:@@@@@@?.........+??%?%@@@@?.....,,::,,,:.;+????%**+++;:,........................................
......,??+;:,....,;?%??%%%???*;,....:*%%%%%??????**+++*++;;*+:.:?#@#S##S%S%,.......,@@@@@@?........+#++#@@@@%;..,,.::,,..........,;**??%%%*++:......................................
.......:?%%%*?*;:,.:***%%%??;.....:%###SSS%%*?%?*++*****+;++*+*:.:@@@@@#?*SS:......,@@@@@@?......,?%S###@@@#:...:*::,:,............,+%???S#%*+::....................................
........:*???%SS%?%??*?S@#*,....,?S#S###S%%???S?*+:::,::;;;;++*::,;S@@#%?%?%%;.....,@@@@@@%.....,%S*?%@@@@%:....,,,....,,,,.........,:*??*?%%?%*+,..................................
.........,+?%##S#@#S%???S%,....:SSSS??%%%?**+;**?*?*;:,......::,,..,S@@@@@@SS%;....:@@@@@@#,....*S*?S#@@@%......,....:++;*++;:.........,+*****???*+:................................
..........,+?SS%S#S%S%?%S,....,S@SSS????%????+:,:;;;+*++;:,.........,?@@@@@##S?;...;@@@@@@@+...;%%?%@@@@%:..........,+;;;+?%%?+,.........:+***++++++*;,.............................
............:???%SS%%%?S?.....%#S@@@%*;+;:;++++,...;%@S?**+*,.........*@@@##S#%%;::%@@@S?@@@+:+??S#@@@@?...........,***;;;+%*%S%;..........:*?**++:,,::,............................
.............,++*?%S%%*S*....;@S?SS%S?+,.......,..+@@@#%*;;%?,.........+#@@@######@@@@@*:?@@@@###@@@@@@:...,:,,....;*+S;;?S@S?###+,,,,......,;**+;++,...............................
..............,:+**???*S*....*#SSS???*%?*:,......+@@@@#+,::?#;........,:+@@@@#@@@@###SS;?+?%**S@@@@@@@%;:::::,,,...*+;;;?##?%?S?#?+:;::::,:,,.,+***+;:,.............................
................,+?*?**??,...?%?%%???%????*;....?@@@@@%:;;:?#+......,:++?#@@@@#S@#S?;++*SS++*#@@@@@@@@?*;,.........:*;;:+S#+%*?%%SS%:,:;;+*?**+;+;;;++::,...........................
.................,:**;*?%+...*%??%%?????%???*;.+@@@@@@@?;;;*%*.....,;+?%S@@@##???S##@#;+*+*;S@@@@@@@@@@#%?+;:,,.....+++:;S??%??%%%%@S:..,:;+?????**;::,::...........................
...................,;;+?%%;..+??%%*;;+*?????**;#@@@@@@@S;+;;?*;++*?SSS%%%%S@SS**;+?*S%:*S#%?;S@@@@@@@@@@@@@@@@#SS%*;+*;;+%*%%S%?%S###%:....,:+*****?*+:,............................
...........:::.......,:+??%*,,?S??*+;:,,;++**+S@@@@@@@#@%*+:?S%#@@@@@#%%S#@@#%???***SSS@@@@@@@#SSS#@#@@@@#@@@@@S?+,.+;:;+%?S%%?%??%%%S?:.....,:++++**?*+;::,........................
...........,;+++::,...,:;*?%*:;%??*::;::,..,,;#@@@@#@@@@#++*%S,,,+???%S@@@@@@###SS*+?S@SS#@#%??SS#@@#S**?+,:;:,.....*;*+?S%SS%+??S%?SS#?,.......,:;+;+******;:,.....................
..............,+?**+::,..:**??*%%**+,..,,....?@@@@##S@@@#?+**%?......:%#@@@@@@@?#@##S?%####*%SS@%%@@#%**:*.........,S%%%S%#@#??S%@S*%SS@?,........,:++++++*?+**,,...................
................;+*+:;*+;::;***???*+:.,.....;@@@@@###@@@@#%*+%%+,,..,+?%@@@@@@#S##?#@@S##@@@@#%?S@@@S#S%;*:,.......*?*+S%S#@#S%#%?S#%SS?#?..........,++;;;:;+****;:.................
..................,;;+??*??*******?*+:*+:...S@@@@@@@@@@@@@#%;**%+*;,.:;*S?S@@@#S??S@#@SS*?S#@@@@@@@@#?#S;:........;+;;+SS#S?##S#%S?#@S#%?%*,....:.....;;:+,.,,:;;+*+;,..............
....................,;??*?%????*?****++*+;.;@@@@@@@@@@@####?%;?%?+***;;,;+S%@@@#?SS##@#+:;;###@@@@@@@?*#.........:*,?*?@##S?#@@@#@@%%@%%S%S+......,;;,::;;,,.....,,:+;..............
......................:+*?%?%%%??**+*;++;+,%@@@@@@@@@##S%##?*;+?S;;;+?*;.*;;?@@@@@@@@#?,,;;%#@@@@@#%S::+........,?:;+?###%%?S@@@@#@@S%SS?SS?,.....::::::;;;:,,......................
........................,;+?%%???***+;?:*,?@@@@@@@@@@SS#S@@#S%+*%?.,:;*+;*,.;S@@@@@@S**+,,;SS@@@@#?:;.:.........+*+;+%@@#%?%@@@@@@S#@SS%S##%*.......:,..,:;+;:,.....................
...........................:*?%??**?*+%:#,*@@@@@@@@@@@@@@SS##S?*%S:...,++;,:::?%@@##?*+%+,?#*#@@@;.............++:+:%@@@#%S@@@@@@@@@@SSS%S@##:.............:;;:,....................
.............................,;*+**+*;*,*+;@@@@@@@@@@#@@@#SSS##*?#%,.....,..,,.*##@##%?*+:*SS#@@S+;,..........;?**?S@@#@@@#@@@@@@@##@@SSS%%SS?.......,;,.....,:;;:,.................
.................................,,;%++,:*;@@@@@@@@@@@@@@@S%S@@S*%S%:........,+?*?#@?+SS:,+#S#@@?+%??+;,....,+%??%@@@@@@@@@@@@@@@@@@###@%%S#%#;.......:;........,;+;,...............
...................................+%;,..:+@@@@@#@@@@@@@@@SS#@S%??%%S+...,;+*??+;?S@@S?+;+%S@@@S+,:;++?**+:+%%SSS#@#@@@@@@@@@@@@@@@@@@@@#S%@@#S,........,;:........,:,..............
...................................**;....;@@@@@@@@@@@@@@@@#@@@#S#??SS*:+**;+,.,.+%*@S****?%S@@+:....,::+;+*%S#@@@@@@@@@@@@@@@@@@@@@@@@@#@#SS##*.........,:,........................
...................................;S:....?@@@@@@@@@@@@@@@@@@@@@@##%S?+;::....,..+??##?*++?S@@%?:....,,....,,;*%%@@@@@@@@@@@@@@@@@@@@@@@@SS#SS@#:...........,,,,....................
....................................*;....*@@@@@@@@@@@@@#@@@@@@@@@?;:......,,..:,;*%S@@@#%@@@@??,..............:?##@@@@@@@@@@@#@@@@@@@@@@@##@#S#%.............::,,..................
....................................,*.....*@@@@@@@@@@@@@@@@@@@@#+:..............:%?%##SSS####%*,...............;S#@@@@@@@@@@@@@@@@@@@@@@@@@#S#@@*..............,:,,................
.....................................+:.....+@@@@@@@@@@@@#@@@@@S:+,...........,...*%?SSS%S#%SS%;.,:,....,......:+?@@@@@@@@@@@@@@@@@@@@@@@@@##S@@#@+...............,,................
.....................................*%,.,;+.;#@@@@@@@@@@S@@@@S:,+.......,:;:,,...,*?%S%S##S%%*,.,,,....:;;,.,,*??%%S@@@@@@#@@@@@@@@@#@@#@@S##S##S?.................................
....................................:@@*.,::,,,?@@@@@@@@@@@@#*:,.,.....,;;,,.......,*%?%%%##%*;...........:??%+%S%%*+S@@@@@@@@@@@@@@@@@@S%%##@SS@SS,................................
....................................;@@#;,.::;..;S@@@@@@@@S+,........,;?,...........+**+%%+*?*:..........,+*@*+*?%%?;;?#@@@@@@@@@@@@@@@@#SS%@####@@?................................
....................................%@@@#:..,;:.:+?#@@@#?:.........,:+%?...:*;......++?++*??;+,......,*%,:*+@:,,:;+?*:;?@@@@@@@@@@@@@@@@@@S%####@##S,...............................
...................................;@##@@#,.,:,;:,;*%#*,.......,,,;**##:,..;?;.......*;+++:%,+.......,+*+?**@#+;;+;*+;;,;#@@@@@@@@@@@@@@@@#?%SS###@#*...............................
...................................%@@@@@@S,..,+:,:;+:::......:+;+*S@@S+;;,.,,,,.:;:;*:+;+++::..,..,+?++??%@#@@*,;:;;:::,:S@@@@@@@@#@@#@@@@#%#S#@#@S?,..............................
..................................;@@@@@@@@S,...,+*:.,:.....:+++*%@@@@@?*+*;;;;,:+?%*;;*:;*:::.:?*;:;*+*%?S#S@@@%:,;:;;:+:;S@@@@@@@@@@@@@@@#S@#@###@?;..............................
..................................S@@@@@@@@@#+...:.......,:;++?S@@@@@@@@#;+++*??S#*?++++*;?+*+**+?#@S####SSSS@@@@#*:.,,;;;::%@@@@@@@@@@@@@@@S?S@@@##?*..............................
.................................+@@@@@@@@@@@@S+,......,:;*??SS@@@@@@@@@#*+:+;;;**;++?+;+??*?%*+*S#S####@#%S@@@@@@@S+..:;:,,,:?#@@@@@@@@@@@@@#%#@@@#S?:.............................
................................,#@@@@@@@@@@@@@@#?+,,,+?%##S%S%@##@@@@@@@%*:**:+*+*?;?*+;?*+***??S?%SS#@#%?S@@@@@@@@@S:...:;::.,?@@@@@@@@@@@#@@S#@@@@S*,............................
................................+@@@@@@@@@@@@@#@#S%%%%#@@@S%%###S@@@@@@@@?%?*?**?*++*+*%+:?%;++???SS###@S%S%#@@@@@@@@@S:..;,.:,..:#@@@#@@@@@@@#S#@@@@S*;............................
...............................,#@@@@@@@@@@@@@#@#SSS%S@@@S@SSSS%S@@@@@@@@%%?+?%#S#%S#%S?:,?%S**?;.+@@@@@@#%#SS@#@@@@@@@S::..:;;...,?@@#S#@@@@@#S%@@@@@?+,...........................
...............................+@@@@@@@@@@@@@@#@S#S%S@@@S%%#@#SS#@@@@@@@@#?S%?%%#S??*++?S%?*++++?+.#@@@@@#S@#%?%%S##@@@@%;..,,:+:,..*@@#?S@#@@#S#?#@@S#++...........................
..............................,S@@@@@@@#@@@#S#%SSSS%S@#SS%??%%###@@@@@#@@@##S?%%#:,,;;:;@##,....+?;++%#@@#%@@#%S@S%S##@@@S*:,..:++;,.+@@#?#@S#@##@%#@@@??,..........................
..............................+@@@@@@@@#@@@S%S#%%%#SS#S%*?;;SS##@#@@@@@@@@@?*;+?S+:*%%S##+###%?*++?...,+S@S#@@@S#S#@@@S####S*;;,,:,;,.+@@#S@@%S#S##?#@##**..........................
.............................,#@@@@@@@@@@@S%S%%##S@##@@*?+:.:*#@@#@@@@@@@%+;++;%SS##@@@@#:#@@@#*+#S*:.,,,;SS##@SS?%S#S%?%?SS::+**;,:,:,;S@S%#S%?#%SS##SSS%,.........................
.............................*@@@@@@@@@@@SSS@#S@#SS?#%??;,...:#S@*#@@@@#;:+:;?#@@@#SS%S@#:#@%+;?##@@#%;::.:?SS@@#S%S##%%%;;?;..,;*%+::.:;?####@#S#%S##SSS*+.........................
............................,@@@@@@@@@@#%?##S###SS+%**?:......;*+,#@%*%,,+:;%SSS#@@###@@%;+::?#@@@@@@##?:..,;#S@@%####%S%;.,,.....:%%+,+:.,,::;*?#@#@SS#S*%,........................
............................%@@@@@@@@#@%%#@@#@@#%*?+??,...........;+:?,.:,+S@#%SS####%%??%?SS?%#@@@#@###S+..,+S##+*?#%:,,...........**:,....,,,:;;++?#S#S%%+........................
...........................;@@@@@@@@@@S?#@#@##%+?***+,.......,:::::;?+,,.;S######SSS+*S##@S@@@S;S##S@@#@@@+;;:::::+;;:;;++;:.........+;...,:;;:*@S#S%S@%#SS?,.......................
..........................,#@@@@@@@@@#SSS@@#?%??*+,........,;+;,;::::::::*SSS@@##S#;;#@@S;;@@#@;+###@@#S*:,.,,...,%@##%%?*???*:......,;+,.,:++;.*@@@##@S%##S*.......................
..........................?@@@@@@@@@#?*S@@%*%??*:.........,?+++;;;++;;,..,.,:?##@?S.S@@@%.,#@@@*:@#@S?:..,;+%+...,;?%##@@#S%%SS?:......:*:,++:+;:%##@@S@S@@S?;......................
.........................+@@@@@@@@@#?S%S#S%?*++,..........+?***+;+*S%?+;,*%+..,;%SS;*@@@?..?@@%:?@?+++,;*%##?,:,...,;+?%S#@@@#SS%+......,;:;+:*:;,+###SS%#@#**......................
........................:@@@@@@@@@S%%S;###%*,...........,+??;,.......:;*;,?#%:...:+***?S;..*S*+*?::+?S###S*;:;*;.....,;+*?S#@@@##?;.......,:::;;;;:*%#@S#%@#%%;.....................
........................%@@@@@@@@%*%@;*##%;,..........,;*+,.....,;+*+;,...,:*S?,.,.,;*+++;:++;;++?S#S%+:,..,::,,.......,+**%@@@@@??,...........,:;+;*@##@#S@#%*,....................
.......................+@@@@@@@#S+%#%++*:,..........:+;:...........,;?S?;,...:?%+*%*:::,,,,:;*S@@@S+,,;;;,.....,........,;+*?#@@@%%;.............,:+@@S#S#S#S??;....................
......................:@@@@@@@@@*%@#?:............,;;,................,*#S+,...:?%?%SS??+*?%#@@#%*:,;;;:..,,;+;:.,;:......,;**S@@@%+...............,+S######@#?%,...................
.....................,%@@@@@@@#?S@*+;..........,.,+:....................:?S%+,...,*%%SS#S%S%@@?;?%,,...:+;::;:...,:,.......:+**S@@@;.................,*%##@@@##?+...................
.....................*@@@@@@@@SS@;...............*;..........,,,..,,,....,;?SS*,....:;++**?%@*,?S*,.,:;;,..,,:+?%S%S*;......,;*?S@#,...................,*@@#@@@%%,..................
....................:@@@@@@@@@#?:...............,%....,;:,...,:::,,;:,,....,;?S#?;:?*+**?%#@S*,;*::.,,,,;?%%?***?S#@@#,.......:*?#@:.....................*@##@@#?*..................
....................%@@@@@@@S;:.................;S,..:,,+;,......,.:,;:......:+?SS?%%#@##@#%?S:.,,:;*?%%?+:,,?S%*::::,,........;*%@*......................+#@%@@SS:.................
...................:@@@@%S%?,...................,#%;:;+;,,,::,,......,.....,,:,++*%#SS?S@@@???%+*##S?;:,,..,,+;::;;;;;,........,*%##,......................;S**@@#?.................
...................%@@@*,+;,.....................?@#%?*++;:,,,,,...........,;+*,;****?*?%#S?*+S@#?:..:;;**;**??%*++............,?%%S;............,,...........,?@@#;................
..................,@@S*..........................,?@@SS?*+:::,,:,,...,..,....,;:.+;:,.,*?S??*%S+,.:;;+??%SS@@###%?+:,,.........,%%%S+............:*?+:..........+@##,...............
..................;#?;............................,?@###%%*;;:,:::,..,::;,,....,::,.,+*%S??+?+,:;+?%?%@@@@##@#SSSSS*;,..,;:;++*%###S,..............;SS?;,........;#@?...............
..................,,................................+@@@#@#S%*;;;;:,,..........,:::.,%SS?++%*:;;;**?%#@@@@@##%%%%?*????++;??S#@#@@S:................,?S%S+,.......:?S,..............
.....................................................;#@@@##@#SS?*+++;::,.,?**+**??**?S?*%@@S%??++++++++*?%%SSS%%%%??%?%#S###@#S#%:..................,??S@S:........,...............
......................,,,,,,,,,:::::::,,::::::,.......:%@@@#S#@@@@S%%??**+:+;+++*****%S##@@%;::;*?*?*+;::,.,,,,,:;;;;;+**%SSS#S%*,....................:%?@@#:.......................
...................,+;;;;;;;;:::;:::+++;+;;:;::.........;#@@@@#####@@@@@##S%%%%%%SS##@@@#%+:;+S@#SS##???*???*:,;??%***???%SS#%*:.......................?%S##%,......................
....................,::;;;;;;::::;++**++**++;;::,:,......,?@@@@@@@##@@@@@@@@@@@@@@@@@@#?++*?%S#@@@#%***??**+*%S#@@@@@@@@@SS#;..........................+%%S##;......................
..................,:::;::;;;;::::::,;;;;;+;;;:,,,,,........;S@@@@@@@@@@#@@@@@@@@@@@@#%+;;*%@@@#%?*+++++++++*?%%%%*%?SSS%?S*,...........................*%%#@@?......................
...................,:+:*+:;;*;;;:;;;;;+;+++++;:,............:S######@@@@@@@@@@@@@@#?*:+%#@@#%?+:;;++;;;;+;++*;;;+*++?++%#S,...........................,SS#@@@%......................
.....................,:;++;*?+;;+*+++;****++*++**+:::,,,,,,.:??%#@@#@@@@@@@@@@@@#SS?SS@@@@#SS%?%%%?**+;+*****???%?%S#SSSSS,...........................*S%%###*......................
.........................,.**+?%S@SS##@##@#####%?*+;;;++++;,,%???%S##@@@@@@@@@#S%%#@@@@@@@###@@@@@@@@@@@@@@@##S%S%S#S%%*+?,.........................,*%%%S##S,......................
..........................;*S#@#SS#@@@@@##@@##@S*+;::;:;;;;;,*????***?SS#@#SS#S#S@#@@@@SS?%S%*?SSS##@@@#S#@@@@@@#S???*+++?,........................:?%%%S##S:.......................
......................:;++*+%S##SS#######@#@@S%*+;;:::;:;;:;:;:++*?**?SSSSS?????SSS##%%%?%S%?*%%S%%%%S#SS%SS#S#@@S#+;++++*:.....................,;?%%S#@##S:........................
....................,,,:+%#S%?*#@@@SSSSS####@#SS%+;;::;;;,..,*;::::;+##%%%?**S??%%?%%%?????*+**?%??%%%%%SSSS%?%SS%*;+++++*:......,:,.......,,:;+?%SS###S%+,.........................
....................+*+*S@@@##S#@@@@@@@####%%%S@#S*;;;;;;,,.,+;;+;+*%%S?**???S%%%?*+***???*++**??**++***??%%%%*?%SS?*;;;+*:......,;?%%%??????%%%?SSS#%*;,...........................
.....................,+?SS@@#@@@@@##@@@@#@##S%#@@#%%;;+;,;;:,++???%%??%%??%%%?%SSSS#%%%%%?%##@####SSS???***?S%+***%S@?;++*;.........:+?%SS#####?????+,.....:;:,::::.................
.................,..:,::..;+*@@@@@@@###@#@####@#S#S%++?+:+*;.+SS%?*?**????%%#S%%S#S#SS%%%?%S@@@@@@@@@@@#S%?*%%;*?*S@#S?+++:.............,,:::::,,.......,:,,::,:,...................
.................+:,*,:++....:?#@@@@@@###@#S##@@SS?%%*++;;::+?@S??*%%?%???S%#%?????%??%S%?%%S##@@@@@@@@@@##S%?***%S%%?%S**:................:;;::,,,,,,:;:,,,:::;,...................
.................,;;;+..;;;*;*%###@@@@#####SS##@SS?*::,,:;+**?#?**+%%%%%?**++;++;;++***??%%?%??%#@@@@@@@@@@@@%%?*#%+???##S?+:,.......,::;+?%%*++;:::;;;;:,,,::::,...................
.....................:;,;+:S@@@@#S#@#@@##SSS%#%**+;:.,;**?????S++*%???+;++;:,::;:;;;++**???%%**?%#@@@@@@@@@@@@#?%%*+*??S@@@#%?+:.,:;;++;;;?%%?*??***?:;++:,,;;;:,.,,................
......................,::;+%*;%??SSSS#@#SSS*%S;,..,;**?%%S%??*%*+S%*%:,,,,,,;;;+;;;;;++**???%??????%#@@@@@@@@@@@%%?*;;;%@@@@@S%%**+;+*??**+%S%%%%%*?*++??*+::::;;::,................
........................,,:;**%%S####S#@#%?%%?+,,;**??%%%?*+;::+;;?%:.........,::;::;++;+**??**??%%?%#@@@@@@@@@@S??S?+*@@@@@@S%%?%S#@@#S%SSS@#SSS%%#%????*:::::,..,,................
......................,,,+*+**%%?SS%%#S##%?%*++;***?%%??**;;::::,.,:.....,......,:;:;;;+;;+****????S%?SS@@@@@@@@@@%S@%@@@@@@@@#SS%??S@@@@@@@@@@@@@@@#%%+:.,,,,,,:::,................
......................::::;*%S?%%S##%%%%##S%??**%SSS????*+;:?+;,:+:.:+.,*++.+,.::.,;;:+*+;:;***?????S%%SS#S@@@@@@@@@@@@@@@@@@@@@@@%?*?S@@@@@@@@@@@##***+**%;;+::,...................
......................,:;;;+#S#%S?#@######S?*???SSS%??**+;;,*+;.+*:,*,.+*:,:?::?,,;**:+**;;;***???%%S#SS##@@@#@@@@@@@@@@@@@@@@@@@@#S%%??#@@@@@@@@@@%?**?*++;,:.:;+;:,...............
...................,,,::;;;;;??+%S#@@@@@#SS+;+%%?%%?*++?++;;::,,:::,,,,:,..::..:,,:,;;+**;;+****??%%%%SS##@SSS#@@@@@@@@@@@@@@@@@@@@@@##%*%@@@@@@@@%;;*+*:::,.,+:+;:,................
...................,;:,,,,+??%SS#@@@@#@@##?**?S#S%?+++?;+;*?+:,?,++.++....;+++++;::+:;++;;;;+**??%%#S%%S@@@@@S#S#@@@@@@@@@@@@@@@@@@@@@@#S%SS####@#?%?%?*+:::::;+,...................
.....................,::++%#@@@@@@@@@@@@@@######%**+;??*?;**+;:*::.,?:,,,:*;+:?+;,%;+;+++++**??%%###SSSSS##@@@#@#%%S%%SSSS##@@@@@@@@@@@@@@@S???*???%???*++;;+,,,,,..................
....................,:;;;;;;++*%SS%###@@#####S%?**+**;;*****+*+++*++;;++++;++;;:,.,,,,:;;;;;++;+**+*++*++*???????????*????%S%?%?%S##S@@@%*%%#S%%?*+;;:;+++;+*??++;..................
...................................,,,::,,.........,,,,,,,,,,,,,,,,,,...................,,,,,:;;:;;;;;;::++;:::,,,.........,.,::+*?**?%?:.,,++*+++++++;;....,,,,,,..................
...................................................,.......,..............,,...................................................,....................................................