- Country: United States - Location: California - Status: Active - Formed in: 2011 - Genre: Black Metal - Lyrical themes: Mexica, Paganism, Indigenous Nationalism - Record label: N/A - Years active: 2011-present
Members
Yahualcuauhli Eztli
Everything (2011-present)
Member(bands):
Blood Division , Goatdusias (live), Toter Winter , Oztoc, Nokturnal Warfare , Quasar , Blue Hummingbird on the Left (live)
Y. E.
Guitars (?-2018)
Member(bands):
Ixachitlan , Mäleficentt , Metztli , Viento , Yohualli
Yohualli Cuetlachtli
Guitars (lead) (2015-present)
Member(bands):
Ancient Grave , The Perpetual Wound , Orden de Sangre y Sol (live), Yohualli (live)
# Discography Type Year 1
Sangre de Aztlán
Demo
2011
Show album
2
Without Veils of Righteousness
Split
2015
Show album
3
Panquetzaliztli
EP
2015
Show album
4
La gran batalla del cielo del sur
Split
2016
Show album
5
Blood of Kings and Ancestral Might
Full-length
2016
Show album
6
Teocalli of the Sacred War
Full-length
2017
Show album
7
Telpochtiliztli
Single
2017
Show album
8
Age of Bronze Resistance
Compilation
2018
Show album
9
At the Altar of Mictlampa
Full-length
2020
Show album
Close
Type:
Demo
Release date:
2011
Catalog ID:
N/A
Label:
O.N.S.P.
Format:
Unknown
Members
Yahualcuauhli Eztli
Everything
Huitzauhqui Panquetzaliztli
Pre-Hispanic Instruments (Track 3)
Huitzauhqui Panquetzaliztli
Cover art
Floki
Logo Design
Tracks
1.
Sangre de Aztlán
02:28
(loading lyrics...)
2.
Untitled I
04:09
instrumental
(loading lyrics...)
3.
Espíritu de Nuestros Ancestros
03:57
instrumental
(loading lyrics...)
4.
Untitled II
04:21
instrumental
(loading lyrics...)
14:55
Close
Type:
Split
Release date:
March 10th, 2015
Catalog ID:
DTB 175
Version desc.:
Limited edition
Label:
Darker than Black Records
Format:
12" vinyl (33⅓ RPM)
Limitation:
333 copies
Members
Vöedtæmhtëhactått
Säarhkktøs
All instruments, Vocals
Maquahuitl
Yahualcuauhli Eztli
Everything
Bartłomiej Kurzok
Cover art
Tracks
Side A
1.
Vöedtæmhtëhactått -
The Kingdom Divided Into Three Bowl of Grief
05:24
(loading lyrics...)
2.
Vöedtæmhtëhactått -
Prevent the Child’s Christianization Insanity
04:10
(loading lyrics...)
3.
Vöedtæmhtëhactått -
Gleeful Life with Satan, Instead of Thinking About God
04:11
(loading lyrics...)
4.
Vöedtæmhtëhactått -
For the Wages of Sin Is Bliss
02:53
(loading lyrics...)
Side B
5.
Maquahuitl -
Banner of Blood and Sun
03:39
(loading lyrics...)
6.
Maquahuitl -
Forward with Hate
03:26
(loading lyrics...)
7.
Maquahuitl -
Esclavos De La Estrella Azul
03:12
(loading lyrics...)
8.
Maquahuitl -
The Great Betrayal
04:17
(loading lyrics...)
31:12
Close
Type:
EP
Release date:
March 28th, 2015
Catalog ID:
N/A
Version desc.:
Limited edition
Label:
Independent
Format:
Cassette
Limitation:
50 copies
Members
Yahualcuauhli Eztli
Everything
Tracks
Side A
1.
La Resistencia Para La Existencia
02:57
(loading lyrics...)
2.
El Muerte Mas Preciosa
03:33
(loading lyrics...)
3.
Panquetzaliztli
02:36
(loading lyrics...)
4.
Paraiso Azul
02:59
(loading lyrics...)
Side B
1.
La Resistencia Para La Existencia
02:57
(loading lyrics...)
2.
El Muerte Mas Preciosa
03:33
(loading lyrics...)
3.
Panquetzaliztli
02:36
(loading lyrics...)
4.
Paraiso Azul
02:59
(loading lyrics...)
12:05
Close
Type:
Split
Release date:
2016
Catalog ID:
N/A
Version desc.:
Limited edition
Label:
Independent
Format:
Cassette
Limitation:
50 copies
Tracks
Side A
1.
Maquahuitl -
Coatepec
04:02
(loading lyrics...)
2.
Maquahuitl -
Odio heredado
03:11
(loading lyrics...)
Side B
3.
Metztli -
I
02:53
(loading lyrics...)
4.
Metztli -
II
03:38
(loading lyrics...)
5.
Metztli -
Howard N. (Bone Awl cover)
01:27
(loading lyrics...)
15:11
Close
Type:
Full-length
Release date:
January 25th, 2016
Catalog ID:
N/A
Label:
Independent
Format:
Cassette
Members
Yahualcuauhli Eztli
Everything
Tracks
Side A
1.
Blood of Kings
04:57
(loading lyrics...)
2.
Divination
03:47
(loading lyrics...)
3.
Flame of Existence
03:32
(loading lyrics...)
4.
Quiyahuatl
04:24
(loading lyrics...)
5.
Soldado Solares
03:41
(loading lyrics...)
6.
To Reign
04:42
(loading lyrics...)
7.
War Blood Sun
03:38
(loading lyrics...)
8.
Yaoyollotl
03:43
(loading lyrics...)
9.
Path of the Jaguar
04:41
(loading lyrics...)
Side B
1.
Blood of Kings
04:57
(loading lyrics...)
2.
Divination
03:47
(loading lyrics...)
3.
Flame of Existence
03:32
(loading lyrics...)
4.
Quiyahuatl
04:24
(loading lyrics...)
5.
Soldado Solares
03:41
(loading lyrics...)
6.
To Reign
04:42
(loading lyrics...)
7.
War Blood Sun
03:38
(loading lyrics...)
8.
Yaoyollotl
03:43
(loading lyrics...)
9.
Path of the Jaguar
04:41
(loading lyrics...)
37:05
Close
Type:
Full-length
Release date:
September 30th, 2017
Catalog ID:
DTB 337
Version desc.:
Limited edition, Digipak
Label:
Darker than Black Records
Format:
CD
Members
MT
Everything
Sang Ho Moon
Cover art
Tracks
1.
Llamada de sangre
04:39
(loading lyrics...)
2.
Sun Worship
03:08
(loading lyrics...)
3.
Telpochtiliztli
04:38
(loading lyrics...)
4.
Keeper of the Kingdom
05:01
(loading lyrics...)
5.
Reclamation / La lucha
04:33
(loading lyrics...)
6.
Battle of Tenochtitlan
04:27
(loading lyrics...)
7.
Teocalli of the Sacred War
04:26
(loading lyrics...)
8.
Vermin King
02:55
(loading lyrics...)
33:47
Close
Type:
Single
Release date:
December 16th, 2017
Catalog ID:
N/A
Version desc.:
Bandcamp
Label:
Night of the Palemoon
Format:
Digital
Members
Yahualcuauhli Eztli
Everything
Yahualcuauhli Eztli
Songwriting, Recording
Tracks
1.
Telpochtiliztli
04:38
(loading lyrics...)
04:38
Close
Type:
Compilation
Release date:
February 13th, 2018
Catalog ID:
PI.18
Label:
Pagan Infantry Records
Format:
Cassette
Members
Yahualcuauhli Eztli
Everything
Tracks
Side A
1.
La resistencia para la existencia
02:54
(loading lyrics...)
2.
Panquetzaliztli
02:31
(loading lyrics...)
3.
Paraiso azul
03:04
(loading lyrics...)
4.
Muerte mas preciosa
03:29
(loading lyrics...)
5.
Noche triste
03:04
(loading lyrics...)
6.
Banner of Blood and Sun
03:38
(loading lyrics...)
7.
Forward with Hate
03:26
(loading lyrics...)
8.
Esclavos de la estrella azul (Slaves of the Blue Star)
03:11
(loading lyrics...)
9.
The Great Betrayal
04:16
(loading lyrics...)
10.
Yaoyotl eztli ihuan tonaltzintli
02:59
(loading lyrics...)
Side B
11.
Sangre y lealtad
03:54
(loading lyrics...)
12.
Debajo del sol negro
04:20
(loading lyrics...)
13.
Honor y lealtad
04:09
instrumental
(loading lyrics...)
14.
Hail Huitzilopochtli (ft. Eztlacuani)
06:21
(loading lyrics...)
15.
Espíritu
04:00
instrumental
(loading lyrics...)
16.
The Age of Bronce Resistance
03:36
(loading lyrics...)
17.
Sangre de Aztlan
02:27
(loading lyrics...)
01:01:19
Close
Type:
Full-length
Release date:
February 21st, 2020
Catalog ID:
N/A
Version desc.:
Bandcamp
Label:
Balamkú Records
Format:
Digital
Members
M.T
Everything
Ironhand Audio
Mastering
Tracks
1.
Illumination of the Dead Sun (Tzontemoc)
03:02
instrumental
(loading lyrics...)
2.
Roaring Rivers of Clashing Mountains (Apanohuaya - Tepetl Monamoclia)
07:33
(loading lyrics...)
3.
Wounds of Flint and Obsidian (IIztepetl)
04:52
(loading lyrics...)
4.
Laceration Winds and Journey of Desolation (Celhuecayan - Paniecatacoyan)
04:32
(loading lyrics...)
5.
Piercing Arrows of Unseen Hands (Temiminaloyan)
06:26
(loading lyrics...)
6.
Feast of a Thousand Beast (Tecoylenaloyan)
04:32
(loading lyrics...)
7.
Of Anguish and Eternal Rest (Chicunamictlan)
06:22
(loading lyrics...)
37:19
Close
Type:
EP
Release date:
March 28th, 2015
Catalog ID:
N/A
Version desc.:
Limited edition
Label:
Independent
Format:
Cassette
Limitation:
50 copies
Members
Yahualcuauhli Eztli
Everything
Tracks
Side A
1.
La Resistencia Para La Existencia
02:57
(loading lyrics...)
2.
El Muerte Mas Preciosa
03:33
(loading lyrics...)
3.
Panquetzaliztli
02:36
(loading lyrics...)
4.
Paraiso Azul
02:59
(loading lyrics...)
Side B
1.
La Resistencia Para La Existencia
02:57
(loading lyrics...)
2.
El Muerte Mas Preciosa
03:33
(loading lyrics...)
3.
Panquetzaliztli
02:36
(loading lyrics...)
4.
Paraiso Azul
02:59
(loading lyrics...)
12:05
Close
Type:
EP
Release date:
March 28th, 2015
Catalog ID:
N/A
Version desc.:
Bandcamp
Label:
Balamkú Records
Format:
Digital
Limitation:
50 copies
Members
Yahualcuauhli Eztli
Everything
Tracks
1.
La Resistencia Para La Existencia
02:54
(loading lyrics...)
2.
El Muerte Mas Preciosa
03:29
(loading lyrics...)
3.
Panquetzaliztli
02:31
(loading lyrics...)
4.
Paraiso Azul
03:04
(loading lyrics...)
11:58
Close
Type:
Full-length
Release date:
January 25th, 2016
Catalog ID:
N/A
Label:
Independent
Format:
Cassette
Members
Yahualcuauhli Eztli
Everything
Tracks
Side A
1.
Blood of Kings
04:57
(loading lyrics...)
2.
Divination
03:47
(loading lyrics...)
3.
Flame of Existence
03:32
(loading lyrics...)
4.
Quiyahuatl
04:24
(loading lyrics...)
5.
Soldado Solares
03:41
(loading lyrics...)
6.
To Reign
04:42
(loading lyrics...)
7.
War Blood Sun
03:38
(loading lyrics...)
8.
Yaoyollotl
03:43
(loading lyrics...)
9.
Path of the Jaguar
04:41
(loading lyrics...)
Side B
1.
Blood of Kings
04:57
(loading lyrics...)
2.
Divination
03:47
(loading lyrics...)
3.
Flame of Existence
03:32
(loading lyrics...)
4.
Quiyahuatl
04:24
(loading lyrics...)
5.
Soldado Solares
03:41
(loading lyrics...)
6.
To Reign
04:42
(loading lyrics...)
7.
War Blood Sun
03:38
(loading lyrics...)
8.
Yaoyollotl
03:43
(loading lyrics...)
9.
Path of the Jaguar
04:41
(loading lyrics...)
37:05
Close
Type:
Full-length
Release date:
January 25th, 2016
Catalog ID:
N/A
Version desc.:
Bandcamp
Label:
Balamkú Records
Format:
Digital
Members
Yahualcuauhli Eztli
Everything
Tracks
1.
Blood of Kings
04:57
(loading lyrics...)
2.
Divination
03:47
(loading lyrics...)
3.
Flame of Existence
03:32
(loading lyrics...)
4.
Quiyahuatl
04:24
(loading lyrics...)
5.
Soldado Solares
03:41
(loading lyrics...)
6.
To Reign
04:42
(loading lyrics...)
7.
War Blood Sun
03:38
(loading lyrics...)
8.
Yaoyollotl
03:43
(loading lyrics...)
9.
Path of the Jaguar
04:40
(loading lyrics...)
37:04
Close
Type:
Full-length
Release date:
February 3rd, 2016
Catalog ID:
CFR-016
Version desc.:
DVD case
Label:
Christfucker Records
Format:
CD
Members
Yahualcuauhli Eztli
Everything
Tracks
1.
Blood of Kings
04:57
(loading lyrics...)
2.
Divination
03:47
(loading lyrics...)
3.
Flame of Existence
03:32
(loading lyrics...)
4.
Quiyahuatl
04:24
(loading lyrics...)
5.
Soldado Solares
03:41
(loading lyrics...)
6.
To Reign
04:42
(loading lyrics...)
7.
War Blood Sun
03:38
(loading lyrics...)
8.
Yaoyollotl
03:43
(loading lyrics...)
9.
Path of the Jaguar
04:41
(loading lyrics...)
37:05
Close
Type:
Full-length
Release date:
December 2019
Catalog ID:
N/A
Version desc.:
Limited edition
Label:
Archaic Memories
Format:
12" vinyl (33⅓ RPM)
Limitation:
100 copies
Members
Yahualcuauhli Eztli
Everything
Tracks
Side A
1.
Blood of Kings
04:57
(loading lyrics...)
2.
Divination
03:47
(loading lyrics...)
3.
Flame of Existence
03:32
(loading lyrics...)
4.
Quiyahuatl
04:24
(loading lyrics...)
5.
Soldado Solares
03:41
(loading lyrics...)
Side B
6.
To Reign
04:42
(loading lyrics...)
7.
War Blood Sun
03:38
(loading lyrics...)
8.
Yaoyollotl
03:43
(loading lyrics...)
9.
Path of the Jaguar
04:41
(loading lyrics...)
37:05
Close
Type:
Full-length
Release date:
September 30th, 2017
Catalog ID:
DTB 337
Version desc.:
Limited edition, Digipak
Label:
Darker than Black Records
Format:
CD
Members
MT
Everything
Sang Ho Moon
Cover art
Tracks
1.
Llamada de sangre
04:39
(loading lyrics...)
2.
Sun Worship
03:08
(loading lyrics...)
3.
Telpochtiliztli
04:38
(loading lyrics...)
4.
Keeper of the Kingdom
05:01
(loading lyrics...)
5.
Reclamation / La lucha
04:33
(loading lyrics...)
6.
Battle of Tenochtitlan
04:27
(loading lyrics...)
7.
Teocalli of the Sacred War
04:26
(loading lyrics...)
8.
Vermin King
02:55
(loading lyrics...)
33:47
Close
Type:
Full-length
Release date:
September 30th, 2017
Catalog ID:
N/A
Version desc.:
Bandcamp
Label:
Balamkú Records
Format:
Digital
Members
MT
Everything
Sang Ho Moon
Cover art
Tracks
1.
Llamada de sangre
04:39
(loading lyrics...)
2.
Sun Worship
03:08
(loading lyrics...)
3.
Telpochtiliztli
04:38
(loading lyrics...)
4.
Keeper of the Kingdom
05:01
(loading lyrics...)
5.
Reclamation / La lucha
04:33
(loading lyrics...)
6.
Battle of Tenochtitlan
04:27
(loading lyrics...)
7.
Teocalli of the Sacred War
04:26
(loading lyrics...)
8.
Vermin King
02:55
(loading lyrics...)
33:47
Close
Type:
Compilation
Release date:
February 13th, 2018
Catalog ID:
PI.18
Label:
Pagan Infantry Records
Format:
Cassette
Members
Yahualcuauhli Eztli
Everything
Tracks
Side A
1.
La resistencia para la existencia
02:54
(loading lyrics...)
2.
Panquetzaliztli
02:31
(loading lyrics...)
3.
Paraiso azul
03:04
(loading lyrics...)
4.
Muerte mas preciosa
03:29
(loading lyrics...)
5.
Noche triste
03:04
(loading lyrics...)
6.
Banner of Blood and Sun
03:38
(loading lyrics...)
7.
Forward with Hate
03:26
(loading lyrics...)
8.
Esclavos de la estrella azul (Slaves of the Blue Star)
03:11
(loading lyrics...)
9.
The Great Betrayal
04:16
(loading lyrics...)
10.
Yaoyotl eztli ihuan tonaltzintli
02:59
(loading lyrics...)
Side B
11.
Sangre y lealtad
03:54
(loading lyrics...)
12.
Debajo del sol negro
04:20
(loading lyrics...)
13.
Honor y lealtad
04:09
instrumental
(loading lyrics...)
14.
Hail Huitzilopochtli (ft. Eztlacuani)
06:21
(loading lyrics...)
15.
Espíritu
04:00
instrumental
(loading lyrics...)
16.
The Age of Bronce Resistance
03:36
(loading lyrics...)
17.
Sangre de Aztlan
02:27
(loading lyrics...)
01:01:19
Close
Type:
Compilation
Release date:
February 13th, 2018
Catalog ID:
PI.18
Version desc.:
Bandcamp
Label:
Pagan Infantry Records
Format:
Digital
Members
Yahualcuauhli Eztli
Everything
Tracks
1.
La resistencia para la existencia
02:54
(loading lyrics...)
2.
Panquetzaliztli
02:31
(loading lyrics...)
3.
Paraiso azul
03:04
(loading lyrics...)
4.
Muerte mas preciosa
03:29
(loading lyrics...)
5.
Noche triste
03:04
(loading lyrics...)
6.
Banner of Blood and Sun
03:38
(loading lyrics...)
7.
Forward with Hate
03:26
(loading lyrics...)
8.
Esclavos de la estrella azul (Slaves of the Blue Star)
03:11
(loading lyrics...)
9.
The Great Betrayal
04:16
(loading lyrics...)
10.
Yaoyotl eztli ihuan tonaltzintli
02:59
(loading lyrics...)
32:32
Close
Type:
Full-length
Release date:
February 21st, 2020
Catalog ID:
N/A
Version desc.:
Bandcamp
Label:
Balamkú Records
Format:
Digital
Members
M.T
Everything
Ironhand Audio
Mastering
Tracks
1.
Illumination of the Dead Sun (Tzontemoc)
03:02
instrumental
(loading lyrics...)
2.
Roaring Rivers of Clashing Mountains (Apanohuaya - Tepetl Monamoclia)
07:33
(loading lyrics...)
3.
Wounds of Flint and Obsidian (IIztepetl)
04:52
(loading lyrics...)
4.
Laceration Winds and Journey of Desolation (Celhuecayan - Paniecatacoyan)
04:32
(loading lyrics...)
5.
Piercing Arrows of Unseen Hands (Temiminaloyan)
06:26
(loading lyrics...)
6.
Feast of a Thousand Beast (Tecoylenaloyan)
04:32
(loading lyrics...)
7.
Of Anguish and Eternal Rest (Chicunamictlan)
06:22
(loading lyrics...)
37:19
Close
Type:
Full-length
Release date:
March 14th, 2020
Catalog ID:
BK-05
Label:
Balamkú Records
Format:
Cassette
Members
M.T
Everything
Ironhand Audio
Mastering
Tracks
Side A
1.
Illumination of the Dead Sun (Tzontemoc)
03:02
instrumental
(loading lyrics...)
2.
Roaring Rivers of Clashing Mountains (Apanohuaya - Tepetl Monamoclia)
07:33
(loading lyrics...)
3.
Wounds of Flint and Obsidian (IIztepetl)
04:52
(loading lyrics...)
4.
Laceration Winds and Journey of Desolation (Celhuecayan - Paniecatacoyan)
04:31
(loading lyrics...)
Side B
5.
Piercing Arrows of Unseen Hands (Temiminaloyan)
06:25
(loading lyrics...)
6.
Feast of a Thousand Beast (Tecoylenaloyan)
04:32
(loading lyrics...)
7.
Of Anguish and Eternal Rest (Chicunamictlan)
06:21
(loading lyrics...)
37:16
Close
Type:
Full-length
Release date:
April 2020
Catalog ID:
DTB 435
Version desc.:
Super jewel case
Label:
Darker than Black Records
Format:
CD
Members
M.T
Everything
Ironhand Audio
Mastering
Tracks
1.
Illumination of the Dead Sun (Tzontemoc)
03:02
instrumental
(loading lyrics...)
2.
Roaring Rivers of Clashing Mountains (Apanohuaya - Tepetl Monamoclia)
07:33
(loading lyrics...)
3.
Wounds of Flint and Obsidian (IIztepetl)
04:52
(loading lyrics...)
4.
Laceration Winds and Journey of Desolation (Celhuecayan - Paniecatacoyan)
04:32
(loading lyrics...)
5.
Piercing Arrows of Unseen Hands (Temiminaloyan)
06:26
(loading lyrics...)
6.
Feast of a Thousand Beast (Tecoylenaloyan)
04:32
(loading lyrics...)
7.
Of Anguish and Eternal Rest (Chicunamictlan)
06:22
(loading lyrics...)
37:19
Close
Type:
Full-length
Release date:
July 25th, 2020
Catalog ID:
WAXGOAT172
Version desc.:
Gatefold, Limited edition
Label:
GoatowaRex
Format:
12" vinyl (33⅓ RPM)
Limitation:
200 copies
Members
M.T
Everything
Ironhand Audio
Mastering
Tracks
Side A
1.
Illumination of the Dead Sun (Tzontemoc)
03:02
instrumental
(loading lyrics...)
2.
Roaring Rivers of Clashing Mountains (Apanohuaya - Tepetl Monamoclia)
07:33
(loading lyrics...)
3.
Wounds of Flint and Obsidian (IIztepetl)
04:52
(loading lyrics...)
4.
Laceration Winds and Journey of Desolation (Celhuecayan - Paniecatacoyan)
04:32
(loading lyrics...)
Side B
5.
Piercing Arrows of Unseen Hands (Temiminaloyan)
06:26
(loading lyrics...)
6.
Feast of a Thousand Beast (Tecoylenaloyan)
04:32
(loading lyrics...)
7.
Of Anguish and Eternal Rest (Chicunamictlan)
06:22
(loading lyrics...)
37:19
Band ascii art
........................................................................................................................
..........................................................:;;:..........................................................
........................................................:;,..:;:........................................................
.....................................................,;;,..;;..:;:......................................................
...................................................,;;,..+%*:*;..:;:....................................................
.................................................,;+,..;%+,.:%S:.,;+;:..................................................
...............................................,;;,,;,.,+;..*+.,;;...:;,................................................
...........:.................................,;:.....:;..,+:.,;;..;*;..:;,........................:,....................
..........:%:......,?,.....................:;:..,+?%+..;;..,;;..;+:,+?:..:;,......................**,...................
.....,....+:+,.....+*:.....................:;:..:?:.+%,.,*,...,?:.,?;;#+..,*:.....................;::;:,................
....+?,.,+:..;:...+:.+.......................:;:..;+,..:+:.,:..:+:.;S?:..:;,......................;:.,,,:;,.............
..,+,*:;:.....:;:+,..,+:.......................:+,..;++:.,:::+:..;*:...:;,.......................:+.,+;:..+.............
..,+,:,...,;+..,;......,+,......................;+:,...,::,:,.:*,..+*;;,......................,*+:..*,.;;.;:............
...,:;:..;;.,+....:*;...*........................+++;::,.:*;,;*;...,*;..................++......+:..:;..*.;:............
......+:.:;..;:..+?:+..,*.........................+++*;,.,;;*;...:+++...................+*......::..;,..:;:+............
......::..*...+..:?+:...*..........................+;?+?;..,..:*+*++....................+:;.....::..+,....;**,..........
......:;..+,.;;..+:.+,..*....................;.....;+;*;*;;,:;*+***,...........:........+.+,....;:..+,......:,..........
......,+..;+;:..+,..;;..?+.......*;..;+.....:%,....?*++*++,:,:+****+:.,*,.....;?,...:...+,.+....;:..*,..................
......:;..:?;..+:...;;..+*:.....,*+:.,*+....;+;...:;;+**?+;.,+++**:.:;+;+....,+:+..+*++.+,.,+,..;:..*...................
......+...,?;..*....+,.::.:;,.:;:..:;;*,+;??+.;:;;,..,+:**;++;;?+.,+;.%;,;:,+;..,?+:,+++;,..,;;:*,..:;..................
.....++;..,++,.;:..+,.;,....++,,:;:.,**.,;?;...+?.,+,..,?*::*+*+.,*+?+S+.,**;*..++*.,;?;;:.+;::;+;,..;;.................
....?+:*..,+.;;:+:+,.;*;;...*;.*.:;.,+*..:;+,.,+:+*+....?+,*?*;+.,..::;*.;:..+..*.*..,%+;,.:;::::;+:..;;::..............
....;.;:..,+...,:?:.:*;:,;,.*;.*.,;.,++..;,;:..?;:,.::..*+**,+++..:;:.,+.;:.,+..*.*..:*;....::;;::.*,..:+*..............
.....,+:..,+....;:.:+..,++;.+:.*;:,.,*+..+,+,..*+.,+?;..++?:;?*;.;;.;:.+.:+:;,..:**..:**?:.+;..,:..+,...;;.....,+*......
.....+*?..:;,::*,..**..?+;,.;*.,,::..?;,.:;:...;;.:*:,.,:?+?+?+,,:+,:;:+,.:,.,..+++...?*+;.,;::;*..+,..;;......;:;;+....
...;;+;:...++*.;;..**,.,,,:.,*+:;;+..;+**..,,.,%;;,,;+++;:+,+:;;*+;+%+;,+..:;;+.++;:.;;.;,.,,...*..;,..;;.......*..*....
...:::;,....:+..+,.,+;;:;:;;.+;,.+,.:++.:,;:;;,+,*+;+?**+,+,+;*?**;.?*.,*;;,..,;;*:+;:..;:+,,+.:+..+,..*:,,,,,:;+..;*,..
......,+..:;;;::;+..,;;*?.:+;:..,+..+;:,;:...,:;**;:*SS%+:++:,??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:,,;+?%#@@+.;:......:#?***++;:,,,....................:%@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@#,.........
....................,::;+%@@@@#,.?:..:+%*,#,.,::;;*%*:...................*#@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@:.........
...............,,..;?*+#@@@@@@+.;%?+.*#@%,*.:+;.;++?;.....,:.............:+?S@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@;.........
..................*#@#@##@@@@?.;**S?.+%@*;?**%++*?%%;,..:+;.............,....;*S#@@@@@@@@@@@@@@@@@@@@@@@@@@@@@+.........
................+SS###@@@@@@%.:%%@;%+;+SS%SS%#%%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+,......,??**%#%%%+%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###?;............,,*#@@@@@@@#?,...,::::......,...:?#@@@#SSS%*:...............
......+;...,:**?????*,......,,.,,:;::;:;*?###S**;;+***+;+*?%S#@@@@@@@@@@@#?:..,.:;,.......;%@@S%+:......................
......;+....,;:;+*+::.........,,,,,::..,+?%%S#SSS##@#@@@@@@@@@@@@@@@@@@@@@@#*,......,...+S#%+:..........................
.......,,....::;*?++*+:........,,..,:,,:;;++*S###@@@@@@@@@@@@@@@@@@@@@@@@@@@@#;......,*S%+,.............................
.............,:+?%%%%%?+::..........,:;+;;+++*S####@#@@@@#@@##@@@@@@@@@@@@@@@@@?,..:*%*:................................
................:**%S#@###%,........,:;**??*+*?SSS######SS##@##@@@@@@@@@@@@@@@@@S;*?;...................................
...................,:;+??%S*.........,:+??*+++*%SSSS%S######@#@@@@@@@@@@@@#@@@@S%;,.....................................
...............,.......................:;*?*++++??SSS##S#########@@@#@###SS#%*:.........................................
.............;::,,,...,,,.,,,,..........,;****?%%S@@#SSSS##S#SS#S###S%%%S*;,............................................
.............,;::,;,.....,;%SS?;.........,:;*?%S%S#####S%%%SS%%%%%SS%*+;,...............................................
.............,:,..,........,:+*?*,...........,,;+*?%?%%++*++*?%%%%%*:,..................................................
.................................................,,,,,:::;+*%%?*;,......................................................
..................................,,...................:++**;:..........................................................
..................................:,....,.,..:,....,,:,...:.............................................................
..................................,:.,..:,...,,....*,+?.................................................................
....,...........................,,,:;S..,:.......,.,..:,................................................................
................................;?:.;#;.,...............................................................................
................................:*+++;:.................................................................................
.................................;**?+?+;,..,...........................................................................
..................................,+?;**%+??*+:.........................................................................
....................................,:*+;*?*;?%,........................................................................
.......................................,.:?+,*?;,,......................................................................
..........................................,,.+**?*?+;...................................................................
..........................,.......................,;*...................................................................
..........;%S%*,.........,;,,,..........................................................................................
.....,;;+?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%%?*+;;:;+++;+*??++;..................
...................................,,,::,,.........,,,,,,,,,,,,,,,,,,...................,,,,,:;;:;;;;;;::++;:::,,,.........,.,::+*?**?%?:.,,++*+++++++;;....,,,,,,..................
...................................................,.......,..............,,...................................................,....................................................