- Country: Italy - Location: Rovereto (Trento), Trentino-South Tyrol - Status: Active - Formed in: 2017 - Genre: Black Metal - Lyrical themes: Evil, Darkness, Black magic, Misanthropy - Record label: N/A - Years active: 2017-present # Discography Type Year 1
Dark Rain Forest
Demo
2018
Show album
2
Through the Witch’s Forest
EP
2019
Show album
Close
Type:
Demo
Release date:
July 2nd, 2018
Catalog ID:
N/A
Version desc.:
Pro-printed CD-R
Label:
Independent
Format:
CD
Limitation:
100 copies
Members
Necro
Drums
Holy Angel
Guitars, Bass
Inferus 666
Vocals
Enzo Santangelo
Music, Arrangements, Cover, Artwork
Inferus 666
Lyrics
Erick
Mastering
Tracks
1.
Ancestral Bloody Moon
04:33
(loading lyrics...)
2.
Misanthropycall
04:30
(loading lyrics...)
3.
Rotten World
02:57
(loading lyrics...)
4.
The Burning Witch of the Undergrowth
01:44
(loading lyrics...)
5.
Dark Rain Forest
03:52
(loading lyrics...)
6.
Depths
05:27
(loading lyrics...)
7.
Waiting for the Pagan Gods
01:28
(loading lyrics...)
24:31
Close
Type:
EP
Release date:
June 6th, 2019
Catalog ID:
N/A
Label:
Independent
Format:
Digital
Tracks
1.
Sinister Mother Darkness
05:13
(loading lyrics...)
2.
For All Witches
04:55
(loading lyrics...)
3.
The Dark Nimph’s Whisper
01:35
(loading lyrics...)
4.
Wounded Woods
03:28
(loading lyrics...)
5.
Beast of Black Reality
04:06
(loading lyrics...)
6.
The Keys of Evil Forest
03:44
(loading lyrics...)
7.
Transcendental Witchcraft
02:14
(loading lyrics...)
25:15
Close
Type:
Demo
Release date:
July 2nd, 2018
Catalog ID:
N/A
Version desc.:
Pro-printed CD-R
Label:
Independent
Format:
CD
Limitation:
100 copies
Members
Necro
Drums
Holy Angel
Guitars, Bass
Inferus 666
Vocals
Enzo Santangelo
Music, Arrangements, Cover, Artwork
Inferus 666
Lyrics
Erick
Mastering
Tracks
1.
Ancestral Bloody Moon
04:33
(loading lyrics...)
2.
Misanthropycall
04:30
(loading lyrics...)
3.
Rotten World
02:57
(loading lyrics...)
4.
The Burning Witch of the Undergrowth
01:44
(loading lyrics...)
5.
Dark Rain Forest
03:52
(loading lyrics...)
6.
Depths
05:27
(loading lyrics...)
7.
Waiting for the Pagan Gods
01:28
(loading lyrics...)
24:31
Close
Type:
Demo
Release date:
June 6th, 2018
Catalog ID:
N/A
Version desc.:
Bandcamp
Label:
Independent
Format:
Digital
Members
Necro
Drums
Holy Angel
Guitars, Bass
Inferus 666
Vocals
Enzo Santangelo
Music, Arrangements, Cover, Artwork
Inferus 666
Lyrics
Erick
Mastering
Tracks
1.
Ancestral Bloody Moon
04:33
(loading lyrics...)
2.
Misanthropycall
04:30
(loading lyrics...)
3.
Rotten World
02:57
(loading lyrics...)
4.
The Burning Witch of the Undergrowth
01:44
(loading lyrics...)
5.
Dark Rain Forest
03:52
(loading lyrics...)
6.
Depths
05:27
(loading lyrics...)
7.
Waiting for the Pagan Gods
01:28
(loading lyrics...)
24:31
Close
Type:
Demo
Release date:
February 17th, 2019
Catalog ID:
cut 3270
Version desc.:
Limited edition
Label:
Depressive Illusions Records
Format:
Cassette
Limitation:
66 copies
Members
Necro
Drums
Holy Angel
Guitars, Bass
Inferus 666
Vocals
Enzo Santangelo
Music, Arrangements, Cover, Artwork
Inferus 666
Lyrics
Erick
Mastering
Tracks
1.
Ancestral Bloody Moon
04:33
(loading lyrics...)
2.
Misanthropycall
04:30
(loading lyrics...)
3.
Rotten World
02:57
(loading lyrics...)
4.
The Burning Witch of the Undergrowth
01:44
(loading lyrics...)
5.
Dark Rain Forest
03:52
(loading lyrics...)
6.
Depths
05:27
(loading lyrics...)
7.
Waiting for the Pagan Gods
01:28
(loading lyrics...)
24:31
Close
Type:
EP
Release date:
June 6th, 2019
Catalog ID:
N/A
Label:
Independent
Format:
Digital
Tracks
1.
Sinister Mother Darkness
05:13
(loading lyrics...)
2.
For All Witches
04:55
(loading lyrics...)
3.
The Dark Nimph’s Whisper
01:35
(loading lyrics...)
4.
Wounded Woods
03:28
(loading lyrics...)
5.
Beast of Black Reality
04:06
(loading lyrics...)
6.
The Keys of Evil Forest
03:44
(loading lyrics...)
7.
Transcendental Witchcraft
02:14
(loading lyrics...)
25:15
Close
Type:
EP
Release date:
June 28th, 2019
Catalog ID:
N/A
Version desc.:
CD-R, Limited edition
Label:
Independent
Format:
CD
Limitation:
150 copies
Members
Holy Angel
Guitars, Bass, Keyboards
Inferus 666
Vocals
Necro
Drums
:A:
Mixing
C. Tommasi
Mastering
Laura Miorelli
Cover art
Shaggy
Photography
Holy Angel
Songwriting, Artwork
Tracks
1.
Sinister Mother Darkness
05:13
(loading lyrics...)
2.
For All Witches
04:55
(loading lyrics...)
3.
The Dark Nimph’s Whisper
01:35
(loading lyrics...)
4.
Wounded Woods
03:28
(loading lyrics...)
5.
Beast of Black Reality
04:06
(loading lyrics...)
6.
The Keys of Evil Forest
03:44
(loading lyrics...)
7.
Trascendental Witchcraft
02:14
(loading lyrics...)
25:15
Band ascii art
.........................,,,:::,,......................................................,,,,,............................
............................,,:;;;+*;:............................................::;*+;:...............................
...................................:*%%*:......................................;*?S?:...................................
.....................................,*SS%+.................................,+%SS?::,...................................
.......................................;*SS%;,....::......,.........,,.....;SSSS%:......................................
.......................................,%SSS%+....*%+:::::%?*;+*;;;*%;....:?SSSS*.......................................
........................................?SSSS*..:+SS+*%+,,,:*,,:+%*?S*+++,,SSSSS+.......................................
.......................................+*SSSS%*?*:;S*.,**;...:*+;.,?;.;SS?+%SSSS%:......................................
......................................*SSSSSS?*;...+S:..,+;;?+:..,%;..;;::*SSSSSS%;,....................................
...................................,+%SSSSSS%;,,::..+%:.:+*+?+,.+%;......::*SSSSSS%%;...................................
............,:::,....,:......,,:+?%?SSSS?;%%;,...,...*S%*:...::+#;..........*S%?%SSSS%*+++,.....,,....,:::,.............
..............,:;****?%+%?%%SSSSSSS%?*+,.,S%:......:+:;S*.....+?+*+;,.....::;S%,.;%SSSS##SS%%%%+%?****+:,...............
.............+:...:::*?*?****??+;,:;*:.:;.?%..,:+??+;::;?*:,,;?+:,;*%%?*;,,,?SS;,:;+:,,+*?*****++;:,....................
.............,+**+*%?%%*?%???+*+?;;:;;++;..;?+::::;::::::?S*?S+:::::::::;::+*++*%*+,:.............,,,,;;..,.............
............::*%??*SSS;;;;++%?%SSSS%*+,.....:??++*::,....,?SS*...,,::,.:+:?+*+++%SS%*.,..,*?*:,,...,:;SS%?,.............
.............;?;,.;S%?:.:,...,.,;%SSSS*,.....,*?S%;:,.::..,S%,...,.,+S+*S*:.:..:?SSS%?*;;+++++*???%?**%S?+;:............
.................:::,:;?*,....;;:?SSSS%?.....,,,,,:+++S?+;:*?:;;;;++*+:.:;;;;::,:+***?:.,:......,:+*+:;;+,..............
............,;;:;++*?+%?:,:...::;;+*%SSS+.............:;::,.:;;:,,,.............,?SS%?***%?*+;,....,,...,...............
............:+...,?*?%%;.:,,.....;,;*%SS%....................;*:,.............;++SSSSS*;?*,,,...........................
.................:*?%%%*...,;++;::,+%%SS;.:?,,..;:,.,;+:,:::::;++:;;;;::,....,;;+??SS?..................................
...........,:;;;;+%SSSS*..++;;+%SS??*??;..:++*+?SS%%S?*+%SSSSSS%%%%*?+:::**.....:S%SS?..,...............................
.........,;:::..,;??**?*+;?:;;*%SS+++?;....;++++%SSSS%+;++**?%S+;*?*?SSSSS:.,...+SS?*+,:%;............,,:::+++::,.......
..........;,.;**+::,:+%SS*....,;%%*++.....,:,.:*???S%+;,::,...;*...,*SSSS*..++++*%S%?????;,,...,..,;;;*;:;:.,:??,.......
.....;:,;;::,,,:::;;;?%?*;....,++...,.........;*:..;?%S%S*::,.....,*%*%S?,.:*,..;?+,,;:;::+**;;:,;*++:.,.,;...,,........
.....:;+**:......,,:,............................;?%%S%SS+:;:,..:*%SSS?;,....,,,.,:,......:.,.,,........................
.......................................,;??:......,?SS?***+;:,,;:%SS?:......,:;+,:......................................
.......................................,+S%......,.+SS++%,:;;;:,,*?S:....,..;;;S%:......................................
........................................,S?.,,..::,*%S?%%,,..,;**:,:,.,,;??...,S%.......................................
........................................,S?...,;++?#SSSSS+:..:+*SS%????*?*;,..,%%.......................................
........................................+%%::;;;+++*;;*?%?+::.,:;?%%%S?*::+:;:;S?.......................................
........................................;?%:::,,......,.,.........,..,.,.....,+S?.......................................
.........................................*%....................................%?.......................................
.........................................?%....................................%*.......................................
.........................................%?...................................,S*.......................................
.................................,.......%%.......,.....................,,,,..:S*,,,,,::,,,,............................
................................,+*+;;;;+%%;;;;;++?+,................,;*+++;;;+S%+;;+++?+:,,............................
.........................................?%...................................;S*.......................................
........................................:%%;..................................,+:.......................................
.........................................,;....................................,........................................
........................................................................................................................ ,,,,,:,,::,;++*+;+;;+*+;+%%%S%%??SSSSSSS%%SSSSSSSSS%%%%%?+*?%%?S########%?**??%SSS*SSS?++;;%%++****+*SSSS#S::,+S#SSSSSSS
,,,:::,,::;++;+*++;:;++++?%%SSS%?%SSSS%%SSSS%SSSSSSSS%%%?*++;;?S#@#########%%?%SS%?##%?+;;+*%++**?*+?#####S;:::?%%%%%%S#
,;;:*+:;:,,:;;;*+*+::;+++?S#SS%***%%%SSSSSSSSS###########%%S???%S#@@#######@####S*S#S#S;,:;*?+******?##S%SS+:::?S%SSSSSS
+;,:::;::,,:++:+*+*+:,:;;+?SS%%??+*%%%%%%SSS#S???%%SSS#@######%%%SS############@S?##S##*:,:+++***+**%##SS##?:::*SSSSS###
*?*:,,:++;:;+*;+***+*+:::+?%%S%SS%%%%%S?%SS%*?**;**?*?%#####@@@@#S%%%SS#########%%SS###%:,,:;+******%#S###S?:::;SS###S##
+%%;,::+;,,::::;****+++;;+?%###SSS%%%%S%%?%?+;*;;***+*%%?S##@@@@@#S??S######SS##%S%?%%%?+,,:;+******S#SSSSS%;:::?SSSSSSS
:;**;,:::,,+;;++;;;+?+;+*++?SSSSSS%%%SSSS?**+*++;+?***%%*?S###@@@###?SS%%SS%SSS###%??***+:::;+******S##SSSSS+:::;%SSS#S#
;+**+:,,,:,::;;;::,:;;:+*+;+?SS%%%%%%%SS%SS%%%?*;;***??%??++?#@@@@@@#SSS%*+++**%S#S%%????+;+++??****S@@##SSS%::::?SS###S
+*+*;::,::,,,:::;:::;;;;++;;+*%%%%S%%%%%SSSSS###%?%?*???%%+;+%S@@##@@@##S#%%?***%S?%%%S%S*;+;+****+*S########+:;:;SSSS##
;++;+;::::,,::;+++;;:;;;;;;;;+*?%?%%%%SSS#S#S##SS##S%%S#%?;++*+?#@@@@@@@#####SS%?SS%%%S##S+::+******S####S##S%+;::*##S#S
;:::::,,::;;++*?*?*:++;;;+;;;;++*?%%S%?%SSS%%SS##%SS%S##S***?*:;*?S@@#S##@#@#######S%%S###%;;+****?*%###@#SSSS+::::S@@##
?**+;::;;:;+??%%%%%+++;;++;:;:;+**??%S%%%SS%%SSSSSSS%SS###S%%*+*+;*?S#SSSS##@@@@###S?*?SS#@*;+******%@####SS##%::::+#@@@
%???*;+*+::;????%%%?*+;;;;;::::;;+**???*??????%SSS#######??%%S?*?%%+;*?%%%%S#@####@###S%S##%;+**+++*%#SS####@##+::::%@##
*?****??*;+*++**%???+:;;;:;;;;;;:;++*?*++***+*??%#####S##;;++*?+*S%*;;+*S##SS@#######@#S##S%;+***+**%##########S+;*??S@@
:*???%S%*+*%??%*%???*;:,:;;;;;;;;:,:;+*????+;*+*%SSSSSSS%;,,:;??:;*?*+;+S@%%#@###SSSS#@@@##%+*?*****?###########?++;++#@
*%SS%S%%*?**?*%**????*;;;**+;++;+;:::;+????*??*+*S####SS*:,:*?%S;,:;;?%SS??SSSS###@#####@@@%;+*******##@@@#######+::,,?#
%S%%%SS?+**?%+;:::+++*;;++;;;:;;;;++;;+*??*??%S%*S##@#%*+:,,+S??+:;;;S#S#SSSSS%S@@########@%+++++++*%###@###@@###?;,,,?S
S??*+*%%?*?%%%*++****++**+;;;:;:::::;+*?*+?%*;?SS##SS%***,,,:?*++:;;;%SSS#############SS###?+*+++++*%@##@@######S+,,,,;+
%????++?%%?%%SS+;*%S?***+:::;;+++;::;;+???*?*++%S%???????:.,,:++;::::*%S##S#######SS###S%S#**?++*+++*#S%%#@#SSSS%+;;,,::
*********?%?%%S%;,;*?*?**+;;;;+?S%?*;;+???*+;+++?*++?*+*?;.,,,*?+,:,:+*S###S####SS%%SS#SS#%++++++*++++%###@###S?+:,,,,::
+*?*+**+++?%%%S%*,,,:+*++;;;;;*%SSSS?+;;***?*+,,;++;*?*??;.,,,+?+,,;::*%S##SSSS##S???%SS##*;;;+++*+*+::*##@#S%*+;:,,,,,,
+;+++*?****?%%%%?*++++*+;;:::;+*%S%%S*:;++**?*;;+*;++++*%*,,,.;**;,::,*%%##SSSS##S##SS%SS%;;:;++**+*;,:;;*%?****+:,,,,,,
****++++++::;++*?*?S%?**?*+;:,;;++*??*,:;;+**+;;+++++;;;*?:..,::::,..,+%S#S%%%%SSSSSS#SSS?;;:;*+++**;.,,:::::;+;:,,,,,,,
?*****+;::::+++?%%??**??**+++;:,,;:::,,::::;;;;:::;;+++;;?+.,,,,,:,,,:?%%S#S%?????**?%%%%?+;;+**++**?+,.,,,,,:*+:,,,,,,.
+**++;;++;;;+++*???*++***??+,.......,:::;:::::;+;;;::::;;+?;,:::,,,,,;??+*%S%??**;+;+++++;;;+;;+++++**:,..:::;?+++:.,,..
;+++++;;;*****++;+*++;::;+?+....,,,::::::,,,,::;;;;;;;;::;*?+:::,,,,,,,::;+?+:::::::::;;:;;;+;;;;++;+:::,,,::;+:,,,,,...
;+++;;;;;;++;;++;;;:;++;;;;:...,,,,,,::,,,.,:::::,:::::::::;+;:::,:++;:,,::;+:,,,:::::;;;::;+;;;;;++;,:::,.,,,;,..,,,...
**+::+***+++*++:::;;;++*++;....,:,,.,,,,,,..:::::::::::::::+?+;;;:::+;++;,,,,:::::::::::;::;+;+;;;++;,::,,,.,+?;...:,..,
%????SS%%%?***+;;;;;;;:;;:,,,...,,,.,,,,,,..,,,,::::,,:::,:;%S*+:::;;+++**:.,:+?**++;::;+;;++++;;:;++::,,.,,,;;:,,:;::::
****?%%%SS%*+;;+;:;++;:::,.,,...,,,..,,,.,,.,,,::::,,,,,,,:?S##%+,,:;;;;;+;,,,:***??+;;++++++++;;:;;+;:,,,,;++;;:,,:,...
?******?????*+;;;:,,,,,..,,,,....,,..,,,,.,.,,,::,,,,,,..,:++%%?%;,:::;;++:,,,,:+++*++;;+;;;;;++;;+++::,.,;;++:;:,.,,,,,
?%***+****???*+*+;,....,.,,:,,...,....,.,,,.,,::,,,,,,,,,,:??*SS#+,,,::;::::,,,:;;;;+*++++;;;+;+;;*++:::,:;+,;,,..:,...,
%%????********+**+;,......,::,..............:::,,,,,,:,.,.,;;:+??;..,,:;,,::,,,,,,,,:++;;+;;;+;++;;++;;;;;:,,;,,.:::,.,,
**?%%%S%*******+?%?+:,,...,,::,,........,,...,,,,,,:::,.,,,.,:;+::..,.;+:,,,:,,,::;;;+;:;;;:;;;++;:;+;;;;:,,+?+;;++:::::
*+*??%%?%S??***+?S%%?*+,..,?#S+:,..........:**+:,:::,,,.,,,...,,:,.,:;::,.,,,:*+;;+++;;;;++++++++;+**+:::::,:+;+***;;;;+
+****???+%%%???*++?*++**:.,;?%*:,..........;%%%+,,,,,,:,,,,,.......,,;:,...,*#@#*;::++**+*?*+*?????????????*???***???*?%
+**+*+*?+?????*****++++++;::,::,,...,,,,..,,:::::::,.,:,.,,,,.......,,.....;%S#@@S;:;::+;;+++++*****++++++::;?%%?%%%%%?*
**+**+***??****?%*++++;;+****++:,::,,,;+;,.,,,,;;::,.,,,,,,,:;,......,.....,;?S####*:;;+++;+;::::;;;+++;;;;*?%%%%*?%**?%
;;;+**+++**+******???**++;;;;+****+;;;;;;;,,::,::,,.,,,::,,.,;:.......,.....:;;*%###%;:,:::::::;+*??***++*??****+;*%%?*?
++***?*+;+*;;+++*+****???+;::,;+;++++;;;;;+,,::::;;,,,,:::,,.,;,........,...,:,,?####?::,,,;+**?%*?**????+*?SS%?S?+????*
+++*?%%%*;++**;;++*?*++**?*+;::;;:;;;;;;::+;,,:::;;:,::;;;+,..................,;%S###%+,..,:++*????*+*?*?****???%?*%%*++
*++**?%??+++++++*%#%?+++****++;++;++;;;;;;;;:,,:::;;,::;;;+:................,:++%S##S%S*::::;+*?**+**?%%**?%+;;+*???**SS
+**++*%?*+;;++**??%????******?++***+;;;;;;+;;,,,,:;;:::;*%?+:,...........,,:;;;+%S##%?%%**%%?*?*;:::;%%??%%?;::;;;+++*%%
+:+*+;;++*+++++***?***********??****?*++;;;;;:,,,,:;;:;+%SS?*+;;;::::,,::::::::;%S#S+++?;:++++++::::,:,,,:;;;**?**?*+;;;
*;+?+;;;;????******+*++++++*+**?%?%%?%?;;;++;;:,,,,:::;;+?%SSSS%%??*;::::::,,,,:+**;::;+:::;+:,,.,:::,,,,,,::+%S%SS%?**+
+*++**;;++???%%%?*++++++;;++++++?S#S%??*+;+;;+;..,,;;;;;:::;+?%?%%%?;:,,,,,,,.,:+*+:,::::::,,.....,::;;;:,,:,:+?%%?++*?%
++*??***+;+*?*?**??*++**++++;;++*??*%%**?*++;;;,,,,:;+**+**+;:::;****%?;,,,,,,+%S##*:::::;::::,...,,:::;::,::,:::::;:::;
?****+;;;;;+*++++??+;;+*+*+;;;+*???**?****??+;;:,::;+*??%%SS%*,,;+:+S###S?++++%S###%,,;;;;:++;,,....::::,:,:::::,,::;;::
?*+++++;;;;;*?*+++******+++*+;*%%%??*******?**++;;++;+;;***?%?;:+%?;*%SSSSS*++%%SSS%,:;;;;+;;;;,,,,,,,,;+++;:;;+++;:::,,
*****++;;::::+*++;++****++++**??++**???*+****+;;::::::::;;+++*;:;*;..;??%%?*;+%%%%??+;;;;+;;;:,,,,,:;*++*:::,,:;++;;;::;
?%%%%%?**+;;:::,:,:;;+**+++++++***?***?******?*;;;::::,,::::;;::,.....;*++;;;;****+:;:;;;;::,,,,,,..,*??**;.,,,,,,,,,,,:
*%%S%?????*++;;::,,,:;;;+++++++++?????***+****????*;;;::::::,,,,...,,,:;;;;;;::::;:,,;;:,,::,,,,,,,,;+;++::.....::,,,,..
+*%%%%????****++;;:::::;+***++++++*???+;+***+++***?**+;:::::,,,..,,,,,,,,::::,...,,,,,:;:,,::::,,::::,,,,,,,....,,,,,,,,
+?SSSSSSSS%%***+++;;;;:++****++********++*+*?*+*;;;;;+;;:,:::::::::::::::::::,,...,:,,,,:::::;::;+:,.,,,,,,,,.,,,,,,,,,,
%S###SSSSSS%*++;;;;;;::;;++****++::;+++***++****++*++++;;::;+;:;;;;;;;;::;;;:;;:,..,,::,,,;+;:;;+++,,,:,,,,,,,,:,,,:::;;
SSSS##S?%%SSS?*+;;;;:;:::;++;;;;;;;+++;;+**??*++++*++***+;;;;;;;;;;;+;;;++;;;:;;:,,,,:++;:,,,,,::::;:,,:::,,;+++**+++++*
SSSSSSSS%%SSSS%?*+;;;;;;+++;+*?****?*++;;++**?*+++***++**++;;;+;;;;;+;+++++;::;;::::,,,;+::,::;++;++++;;;++++***+++++;;;
SSSSS%%%%%%%%SSS%?+:;+++;+*?%%%%%*+*?***+;;++*?**+++??*+++****+;;+*++++;;;++;;;;+*++;:;;*+;;::;*???%??*???**++****++;++;
??%%SS%%%%%%SSSS%%?+:::+*%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%%?*+;;:;+++;+*??++;..................
...................................,,,::,,.........,,,,,,,,,,,,,,,,,,...................,,,,,:;;:;;;;;;::++;:::,,,.........,.,::+*?**?%?:.,,++*+++++++;;....,,,,,,..................
...................................................,.......,..............,,...................................................,....................................................