- Country: Australia - Location: Woodend, Victoria - Status: Active - Formed in: N/A - Genre: Black Metal - Lyrical themes: N/A - Record label: N/A - Years active: N/A
Members
Necropriest
Drums, Vocals
Member(bands):
Blood Ritual , Goatblood , Molog , Rattenkönig , Shadowgate , Der Nacht (live), Mardraum , Neurotic Dysphoria , Nostalgic Reflections , Kviotom, Malefic Sorcery (live), Salvation (live)
Horvaath
Vocals, Guitars, Bass
# Discography Type Year 1
Insidious Pale Ghost
Demo
2016
Show album
2
Lerderderg
Demo
2016
Show album
3
Montsalvat
Demo
2017
Show album
4
Funeral of Cryptic Spirits
Compilation
2017
Show album
5
Vile Decrepit Stench: A Plague of Filth
Split
2017
Show album
6
Forbidden Formulations Quenched in Embittered Anguish
Split
2017
Show album
7
Altars of Disease and Mortem
Split
2017
Show album
8
Occult Longing for the Essence
Split
2018
Show album
9
Häretischer Kreis
Split
2018
Show album
10
Tombs of Pestilence & Woeful Abominations
Split
2018
Show album
Close
Type:
Demo
Release date:
July 2nd, 2016
Catalog ID:
N/A
Version desc.:
Limited edition
Label:
Australibus Tenebris
Format:
Cassette
Limitation:
100 copies
Members
Necropriest
Drums
Horvaath
Vocals, Guitars, Bass, Keyboards
Tracks
Single-sided
1.
Insidious Pale Ghost
06:47
(loading lyrics...)
2.
Eerie Subterranean Mineshaft of Damp Air and Cold Incandescent Walls
05:47
(loading lyrics...)
3.
Cold Solitary Wander Up the Tower
06:03
(loading lyrics...)
4.
Decension
11:26
(loading lyrics...)
30:03
Close
Type:
Demo
Release date:
December 2nd, 2016
Catalog ID:
N/A
Version desc.:
Limited edition
Label:
Australibus Tenebris
Format:
Cassette
Members
Necropriest
Drums
Horvaath
Vocals, Guitars, Bass
Tracks
Single-sided
1.
Odious Vermin
04:16
(loading lyrics...)
2.
Lerderderg
06:53
(loading lyrics...)
3.
Forgotten and Left to Rot in a Shallow Grave
04:55
(loading lyrics...)
4.
Path to Decay
05:51
(loading lyrics...)
21:55
Close
Type:
Demo
Release date:
February 7th, 2017
Catalog ID:
N/A
Version desc.:
Limited edition
Label:
Australibus Tenebris
Format:
Cassette
Limitation:
50 copies
Members
Horvaath
Everything
Tracks
Single-sided
1.
-
01:42
(loading lyrics...)
2.
-
03:16
(loading lyrics...)
3.
=
05:33
(loading lyrics...)
4.
=
05:31
(loading lyrics...)
16:02
Close
Type:
Compilation
Release date:
May 2017
Catalog ID:
N/A
Version desc.:
Limited edition
Label:
Hatework Propaganda
Format:
Cassette
Limitation:
66 copies
Tracks
Side A
1.
Insidious Pale Ghost
06:47
(loading lyrics...)
2.
Eerie Subterranean Mineshaft of Damp Air and Cold Incandescent Walls
05:47
(loading lyrics...)
3.
Cold Solitary Wander Up the Tower
06:03
(loading lyrics...)
4.
Decension
11:26
(loading lyrics...)
5.
Odious Vermin
04:16
(loading lyrics...)
6.
Lerderderg
06:53
(loading lyrics...)
7.
Forgotten and Left to Rot in a Shallow Grave
04:55
(loading lyrics...)
8.
Path to Decay
05:51
(loading lyrics...)
Side B
9.
-
01:42
(loading lyrics...)
10.
--
03:17
(loading lyrics...)
11.
=
05:34
(loading lyrics...)
12.
==
05:32
(loading lyrics...)
13.
Exterminated Human Existence
(loading lyrics...)
01:08:03
Close
Type:
Split
Release date:
May 9th, 2017
Catalog ID:
N/A
Version desc.:
Limited edition
Label:
Hatework Propaganda
Format:
Cassette
Limitation:
66 copies
Members
Funerary Temple
Necropriest
Drums, Vocals
Horvaath
Guitars, Bass
Skull Moon
Everything (tracks 2-4)
Tracks
Side A
1.
Funerary Temple -
The Menagerie of Grotesque Deformities & Desecration
13:23
(loading lyrics...)
Side B
2.
Kryptus -
As Misery Overcame Them
03:31
(loading lyrics...)
3.
Kryptus -
Three Coffins Filled with Vomit
03:45
(loading lyrics...)
4.
Kryptus -
Masturbating to Acts of Genocide
04:47
(loading lyrics...)
25:26
Close
Type:
Split
Release date:
September 11th, 2017
Catalog ID:
N/A
Label:
Australibus Tenebris
Format:
Cassette
Members
Megalith Grave
Gamol
All instruments
Funerary Temple
Necropriest
Drums
Horvaath
Vocals, Guitars, Bass
Tracks
Single-sided
1.
Funerary Temple -
Part I: Vermin Shroud on the Crest of Eminence
(loading lyrics...)
2.
Funerary Temple -
Part II: Dismal Perception of Life
(loading lyrics...)
3.
Megalith Grave -
I. Foul Disembodiment Preserved in Necro Sleep
(loading lyrics...)
4.
Megalith Grave -
II. Bleeding Knowledge Channeled into an Exalted Form
(loading lyrics...)
Close
Type:
Split
Release date:
December 2017
Catalog ID:
N/A
Version desc.:
Limited edition
Label:
Hatework Propaganda
Format:
Cassette
Limitation:
40 copies
Members
Moribund
N.M.K
Vocals, Guitars
OldBeast
Bass
Vomit
Drums
N.M.K
Layout
Tracks
Side A
1.
Funerary Temple -
Laborious Undulation Emanating from the Void
05:16
(loading lyrics...)
2.
Funerary Temple -
Grave Spirit Worship Within Chambers of Rot
05:34
(loading lyrics...)
Side B
3.
Moribund -
Deathvoid of Negative Emissions
04:02
(loading lyrics...)
4.
Moribund -
Adulations of Morbid Offerings and Necro Sorcery
03:46
(loading lyrics...)
5.
Moribund -
Commit Suicide (GG Allin cover)
01:36
(loading lyrics...)
20:14
Close
Type:
Split
Release date:
April 2nd, 2018
Catalog ID:
N/A
Version desc.:
Limited edition
Label:
Hatework Propaganda
Format:
Cassette
Limitation:
50 copies
Members
Funerary Temple
Necropriest
Drums, Vocals
Horvaath
Guitars, Vocals
Nihil Invocation
Deathwalker
All instruments, Vocals
Tracks
Side A
1.
Nihil Invocation -
Chaotic Forms Absorb Existence
04:32
(loading lyrics...)
2.
Nihil Invocation -
Darkness Entrenches My Being and I Become Whole
04:36
(loading lyrics...)
3.
Nihil Invocation -
Destructive Specters Beckon Steadily
03:39
(loading lyrics...)
Side B
4.
Funerary Temple -
Morbid Coffin Lust
04:25
(loading lyrics...)
5.
Funerary Temple -
Vessels of Blood for...
05:49
(loading lyrics...)
23:01
Close
Type:
Split
Release date:
May 6th, 2018
Catalog ID:
N/A
Version desc.:
Limited edition
Label:
Hatework
Format:
Cassette
Limitation:
120 copies
Tracks
Side A
1.
Swine Soul -
Violent Self-Spiraling Forever Towards Utter Oblivion
(loading lyrics...)
2.
Immatura Morte -
Exclamavit autem mortis vocat me et nigra ignis ante exitium est nomen meum fatum est interis mors, dementiae et putridus
(loading lyrics...)
3.
Xzælthu -
Untitled
(loading lyrics...)
4.
Gormanudr -
Ages of Blood
(loading lyrics...)
5.
Funerary Temple -
Chanting Woes Through the Chambers of Flesh
(loading lyrics...)
Side B
1.
Swine Soul -
Violent Self-Spiraling Forever Towards Utter Oblivion
(loading lyrics...)
2.
Immatura Morte -
Exclamavit autem mortis vocat me et nigra ignis ante exitium est nomen meum fatum est interis mors, dementiae et putridus
(loading lyrics...)
3.
Xzælthu -
Untitled
(loading lyrics...)
4.
Gormanudr -
Ages of Blood
(loading lyrics...)
5.
Funerary Temple -
Chanting Woes Through the Chambers of Flesh
(loading lyrics...)
Close
Type:
Split
Release date:
August 31st, 2018
Catalog ID:
N/A
Version desc.:
Limited edition
Label:
Hatework Propaganda
Format:
7" vinyl
Limitation:
200 copies
Members
Entsetzlich
Azathoth
Vocals, Drums, Guitars
Funerary Temple
Necropriest
Drums, Vocals
Horvaath
Vocals, Guitars, Bass
Nocturnum
Guitars
Tracks
Side A
1.
Entsetzlich -
The Diseased Earth
03:36
(loading lyrics...)
2.
Entsetzlich -
Beyond the Blackened Walls
03:43
(loading lyrics...)
Side B
3.
Funerary Temple -
Cremation Crypt
03:22
(loading lyrics...)
4.
Funerary Temple -
Dreadful Night of the Long Blades and Foul Depravity
03:29
(loading lyrics...)
14:10
Band ascii art
....................;...................................................................................................
..................................,.....................................................................................
...................+?.............,,........................................................,,..........................
.................+S@+..........................................................................,........................
...............:S@@@+.......................,..:*%?..........................................:%S,.......................
..............,S@@@@%...........:;...........,%@@%:.........................................,S@@?.......................
..............*@SS##@%,.........?#*.........:S@S#+..................................,.......?##@#.......................
.............,S@*?#S?S#:....,,;?S#@S;.......%@SS#*............*,...........................;S:?@#,......................
........,....:#@;;#??,+%S%?%S#@@###SS;......S@*%@?...........*S................:?,........;#:+##@?:.....................
......:%#%,..:#@;,@+%,:%@@@S#@SSS?%:;%.....:##;?@+..........+##+,..............,SS:....*++#*,%%@@S:.....................
......*#@@#*,.%@%,#+SS@#S@%.*@*:SSS;.%*,...;@#,%@+........,*#@@@+...............*@S,..:#@%:.*+:#@S......................
......**%S#@S+%@#%####*,*#:.;@*.%@@::##:..,%@#;?@#;.....,*S@@*S@?...:*?????+,..,S@@%+:%@@#;.S,*@@#;.....................
......+S%S+*@@##@#%##:..*#*.,#?.%#@+;#@*..*#@@+?@#S,..;*?*%@#:+@@?..*??@@@@@#?%S@@@@@%S#S##?*,S?@@S,....................
......,S#+%.;S;?@S:SS...,#*..S?.;#@##@#S::??@@??%##S*%?;:?S#S.*@@#+.?**%#?S@#@@##@@###S%;?@@;:?+@#@?....................
.......%S+%,,%,,#@%#+::+*S?:,*S:,S@#@##@#SS%###S?@@@#+*SSS##%,#@###:?;?*@+*@@#@+%#@%S@S%;*S@S*?+%#@@;...................
.......%#?**:S..?@#####@@@@###@#;*@#@%%@@#+.?@@#S@@###@*,.%#S*@#*#@SS:??S+;@@#@%S##S%#@#;?;?@#%*+?@@?...................
.......%@##S%#SS####@@@###@?;*S#,:@#@@*#@S..+@#@@@@@###?*:,%S?###@#@S++*#+:#@#@#?#@;,#@@%%..?#@#%?*@#:.......:??........
......,###@#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..+#@S?+,%#@S*@@;.;S#@@#?%:.......
........+*?*.?#;;?;##S;?:*##@S*%.?+%@??S@@#??;??@#SS###%###?@*?@?..?#%#@#@@#:+@@@@#:S%..;@##@+.?##@*%@#S@@@#?;%%,.......
........;S:%:?S:;?:##%+;*?#@@%+?,%,S@*?#####:;?%@##+@@%*?%*+@*+@#,.*@#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,,%*+?@?+#S@@@#;%+.%;#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.;@?++%*?........
.....,...???..%@S;#@;,S.?;%@?.%@S**+@@@:+@S@#S@?;@#@%:#?.?@#:?@%?@@#S@@@%.%#?%%@SS@***S@#+?;*;?*.####%#;?#+?;?+?........
.........*S+.,%@@*@S,:%.?;S@+:#@%:%S@##;,###@#@?+@@@+,S%.*@#.+@####??#@@S,?#*?*@@@@*?;?####*S.**.S?@S?S*%S+%:%:%........
.........*@;..,S@S@S.*#,%,S@+*@S?,%@@%%;.S@@@@@??@#@S+??+;@#:+@#@SS?S#@@@+*@*?*%%#@;?;:@#@@#S,S*;%?@%?#,+S**+?:%........
.........*#;...?@@@?.+#??.S@SS@*?,?@#%#;.SS#@@@SS@@###%+S%#S+%###S%:S%@@@%;@%?;%*@@+%,;@@@@@#;%+*??@**%.%?;*?;+*........
.........???...%##@?.,S*?.?@@@#:%:*@#:%;:@?#@@@#S@@##%@@**#S%####%?:S;@@@#:S@?.SS##%%.*@@%##@%?%%*?@??:,#+***:++........
.........%+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?@%.S#S?%#,,?@#S@##?#%S##@@@?.:.S@??+#@%,#,*@##*.*@SS?@+.%;?,+*........
.........S:+?.,?@S*#@:.@@###@@#*##@##@###@*?++@#%?#S,%#+###?S@##%%###SS@S%#S##;.,#@+?%@@?,%.*@%?#.+@####,,?,%,*+........
.........S::%..:#%.%@%,SS@@%#@#+%@###@SS##S###@#S###:%#*#@+#@##@%:#@#+?@#@#?#@#;;##*#@@@?,%.*@S;#.+@##@%.,?:%.?;........
.........%:,%:*###;:##%%:#@*;###@##@@@@@@@S??##@@#@@+?#S*#:S@@@@#*S@@#SS+S#%#SS#S@SS@@@@*;%.;##;S:+@##@*.,?,:.?;........
.........?;,%:%%S@S;##@@*?@S+##@*?@@@@@%;#S.,S@@###@%+@#:S+#@@#S@###?#@#?S#?#%%@@@?*@@@@SSS,:S#S#*+@#@#:.,%,.,%,........
.........S::%.+*:#@@###S@##@@###,;@@#S@%.+%?;#@#?@#@#*@?,S#@#@@%%@@@?S%%@@#%#@@#@@**@###@@#####@@%?@@@#:..%:.:S.........
.........S::%.:%,S#@@@SS@##@S:S#:,#@SS#?.,?;S#@S,S@##S##:S@SS#@*:##@%;*;SS@S##@##@+*@@#+%#%##@@S@@@@@@#:.+?..:S.........
........,*,:%..?;%###S#@@##@%.S@??##@%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#@@@@###@%##;?:S#@;.:;#@@#@##@S:#@#+*?%;*@?...%@#S@@;.:%...%;.........
.......,....,.+*.;?**.;,S@@@;.?@??@S:S?%%@@@@#@S%@S%?@@@%%%#@#;?:###;:%#@??@@#%@%,%@###%S+?@+..:S@??@@;.+?...%;.........
..............+*.,%+%...S@@#,.S@*?@%.%@+,#S++S@S,*S?;@@#;?+%@#:?:#@#?#@#%+:@@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;SS#S.*+...;?.........
..............%;..:;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?:@?.*+?S:...:S.........
..............,%,...*@#..*@###S#:.?+#@####@*:?;@#:**+?*@@%:#@#::@#@?*????##S*.?#@#*+*?%#%#;SS,.%+:@*..,?S:...,S,........
...............?;...*@#,.*@+%@SS,.?+S#@@###,:?+@S,%,+?:@@#;S@#;:@S@?*?%S#@?+?.%%@######SS#;#S.,#+:#%..+**+....%;........
...............?+...;@#,.S#::#@?..+%S*###%%.;?+@S,%,+?:#@#;S@#++##@?*%S%S@*,S;?*%@#%%@##@#?#*.;@*;##:.%::;....*+........
...............:%,..,##,.S#;.%@S,.;%?;*S%+%.;??@S.*++?,#@S,%@S%S?#@%?+#*?@#S#####@@@@###S#@@%:;@+;@*..%,......+*........
................?;..,SS,.?#:.:#@?.;%?+:%?*%:*+%@?.+?+?,#@%.%@##?*#@%?+%%:SS#@##@##S@@@#S##*S@#?#*,?%,.%,......:%........
................?+...S#,.+#,..;@%.;%?;:#%*S+?:%@*.,%+?:#@%.%@#@?%%@%?%*S,%;%@S#@?%,*%SS:S#:+%?%#*..?%,%:......+?........
................;%...?#..*#,..;#;.;%?+,#S+S*?:S@%..???;#@?.%S#@@*+@S%#?%.*++@S?%+%..,%S;?@?+%*S#;..,%S%:......*+........
................,%,..?*..%#:..?*..;%?+,##;#*?:#@#,.+*?+#@?.?:%@@?:####%*.;%?#S*:%%:..*#;;@#SS?#S,...%@*+......++........
.................?*..?+.;%**.:#:..;SS+.+#S#+?:%@#;.+*??#@S,%,,S@#,?@@#S;..%*#@*:??;..;#*.?@?#%?S....S#+?......++........
.................:%..*%.+**+.?%*..;SS+.+@@#:?:%@@?.;?*S#@%.%:.?@@;.*@SS...%;S#+,%+?..+?%..?#@S+%....*@+?......++........
.................,S..:#,+*%,,%,....,:,.+#@%.?;S?@#,+*.;#@%.?+.*#@S,+#:%+..%:SS,.?*?..;S?,.,#@#*?....;@::......++........
.................:%..,S***?.,?.........;S?;,??%:#@;+*.:#@%.;?.?+S@*+#.+%..%,%#,.?+%..:S?,.,S##+*;...:#,.......++........
.................;?...?*:S%.,S,........:S?,**%S,?@S?;.:#@%.?+.%:?@++#:,S..?:+#,.%;%..:#%,.+#S?+.,...,S,.......++........
.................;?...,,.%%.,?,........:#?.?++#:,S@%...?@%.?:,%.?#,+#*.S:.?:+S..%;%..:#%.:##???......S:.......*+........
.................:*......+S............+@:.?:.%;.,%%:..:#%,%,+*.;S:+?%.?+.?:+S..%;%..:#*..%#**?......S;.......+*........
.........................*%............%S+.?:.?;..?:....%?.?+*+..?:+?%.**.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#@@SSS%??%S#@@@@@@@@@@@@##@@@@@@#%%#@@#S?S##*;+......,;
......................:SSS@#S**,.....:......,...,:*+?*S:S@@@##@@@S##S##@@@#@####@@@@@@@@S%?SSSS@##S%S@@@@@@@#%S?+,::,...
....................,:,*@@@#+:?S:....;,..::,..,;*?%?S@@@@@@@@@#@#+*#@@@#%S@@##S%@@@@#%*::?@@@@@@@@@@@@@@@@@@#S#S#*+*?SS?
.......................,;+?#@%%%?,....,..,...?*%@@#@@@@@@@@@@@@#%++S@#@#%+%@@@##@@@#:....;#@@@@@##@@@@@@@##@@@###;..*@@@
........................,..,:..,..........*;+##@@@@@@@@@@@@#??%?***?%#@#?*?+++*;;S@#%*%%S?*@#%??**????%S%%+?#S#%*+;.**+?
..........................;;,..+,:+.......,*#@@@@@@@@@@@@@@#.,%@@@@%S##+....,*?*:,;S**#@+,;:.............:::**#S%*,.....
..........................?@##*;+.++:.......,*##@@@@@@@@##@S;S#%*%:*S*,..,...,:??++*,.*:...................:,.:*?@#;....
.......................,.,;S@@@S,,,,,+;.......,;S@#@#@#*:,,..,,.*%..................,...:++;...............+%*..,S@%....
.......................:,.,*+?S%++....;;,*.......;?#@@S*?++;.;+:;SS:........,,......,.;%#+,..........;;,....:?*;,,%#%,..
.........................,,;....,.....;;.:.........:??+,+##S+;+:;*+;.,+;:..*+;+;:,....*SS%:,?.........,,,...,.,;;.?##;..
.........,:................,::........,;........:..,;;:*%?...+*::S?S#*;+??;.::.;;....*@#?.,#?......................,,...
......,,.;:....................,,:,;::.....,....,,.*S#+*%S;..:;....;SS?%+,+,.........;%%+.,*:...........................
,....,.,,:,...,................:*?+??:..........+*,%*%??**#+.............,;................,..........,:,...............
;..,,...:,:,.%S+................:??*;..............S?S%%S%#%...............................,..*+,...........,*,.........
........;:;.,%?*.................,.,...............:+S*%%?@%...............................+.,S#?...........;S+,........
::,+?SS+....;##+................,;*+.................+:;*?@#,.....,........................,..::,,..........;*:,......,,
;;++*+:::,::SS?.................,%%+...................,,;+@;.....:;+;.......................................;:,;;?+*:?*
.;:::;?*;*;*%?,.................::,,,.........,++,.......,.S?.......,?+,,+;;:,:,...............:::::;++:......;+:,*;:.,*
..,.:?*;.:;?+*,..................+,..........+#@@+.........:,........+;,:+?;*?+;......,:......,*%%%@@@@#S+...:+.........
%%%*....,..;,.........:::::,..................,*S%?;.....,...........................:,.......+%:,:@@@@@@@,..,%...,.....
@#;,.................:@@@@@?.................,::+%?,,;,.,*,........................,;;,.......,%...#@@@@@%....,.........
%+........,...........#@@@@S.........::..::.,::?SS+,++:.+S*;.........,:............,%+.........*:..S@@@@@:.........,;...
........,..,,.........:SS@#?..,.++,.:;..:?....:;;,..+*;:%%*+.........:SS?;.........:*...:..;,?SS:..?#@##%............,,.
....,,......+,?+....,,.*?#%+....,.......,...............?S%*...........;?@S*:....;*??.,;;???S###?,,:??+;+;,.....*%+:?*;.
............:S#:.......+@#%*:,...........::::,,,,,......?%+;............:#@@#%+,:?S%%+*%?S%%*?;::+??:::;+;,.....:%@S@%:.
........,;..+;.........:@@@@S...........,++*+*++;::;+*+:,,.,...:?+;;+*?S@@@@@@@#?%%*+::,.,..:.;:::,:+;;+:.........:%#@;.
..........,............,#@@#:........................,,.:?*?...%@@#S?*?%%%%SS##%,,:.::,;,,:.::.,..:.,+;:,...........,+,.
.......................:%@@#:,.,..................,.....:?S#...**%*...............,..;.,,:;..:.,,.....,..........,......
,:......................;@@@S?%#;+**%+..,:........:,....%*+#.....:;:;+:...........:+,:,.:........................;;+*;..
*+......................;@@@@S+,.:#S??.;S%+::*;,,,....,:S?+#......,:;;,...........................................,%S:..
..,,....................?#%#%;:...+.,%,,;++;;**;+?:..,?*+;,?,,,.................................................,..*?...
.,::....................;:.,.........;,................,?S%:,SS;,........................,,,........................,...
.,,.................................;%:..............+??S@S..:%*..................,:;++*;::,............................
%S?S:......+?...:::,............,::+@@;::,...........:+*:?@+...;,................,;;++?%*+*:.......::::::........::.,...
?%%;,;;....;S:.,?#@#+........:;;*S#%?+,%@##S%*+:,,,,,,.;;*S%..:?*..,.............:**++;:,,,,.......,,,;;;:..............
.,....,:.,..?+;+%@@@#?:................%@@#@@@@@########:,.....:?*................,.....................................
.;?:;++.;:.+@?;:+@@@@@@;....,..........?#+,,;**?%SS####S+,.;....:+;*%:.,,.,.............................................
:+;*?*++S?.S@##SS@@@@@@*.....;??****?%S@S++;:::,,,,,,,:??::%.....,,;%?++:+#%...,........................................
+?;++;+*+?*S@@#%%%@@@@#*+++**?#@@@@@@@@@@@@@@@@@###SS?;*+,;;......:%*;;S+*S?..,.........................................
??+,:,+:..:;;+SS*+%S##S%####S%%?SS###S####%S##S##S#@@@#S@#@*::::::*S%%+*+:::,,;.,,,.,.:;:,....,,,........,:;;;::::......
*+:,,.:*?+:;*+;**?%#S?%?#S%S%%?%#S##SSS#%%#S#S%%SS####S%#S@@###@#@@#S%?+?S#SSSS%?;+??++S@#%S%?**%?;.......:+?%##@#S?*;;,
@@@S*?#*;%%##@S%+*%%##%S##SS############%S###S?##S##SS@@@@@@S##?S@@#@#%**S?*?S%??*%%??**SS???*?#%%?+?%*;;;:;,..,;:++**?%
#@@@#@#S*?%?%#?+*?*?##S#??##############@####@@#@##@@##@@@@@##@@@@##@@#%%;,?S#?*S@@#@#@#*:?#S###S%##???%@@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%%?*+;;:;+++;+*??++;..................
...................................,,,::,,.........,,,,,,,,,,,,,,,,,,...................,,,,,:;;:;;;;;;::++;:::,,,.........,.,::+*?**?%?:.,,++*+++++++;;....,,,,,,..................
...................................................,.......,..............,,...................................................,....................................................