𝕿𝖊𝖈𝖍𝖗𝖎𝖌𝖍𝖙𝖘 Bulletin for Wednesday, December 27, 2023
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Generated Thu 28 Dec 02:49:44 GMT 2023
Created by Dr. Roy Schestowitz (𝚛𝚘𝚢 (at) 𝚜𝚌𝚑𝚎𝚜𝚝𝚘𝚠𝚒𝚝𝚣 (dot) 𝚌𝚘𝚖)
Full hyperlinks for navigation omitted but are fully available in the originals
The corresponding HTML versions are at 𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈
Latest in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒕𝒙𝒕 and older bulletins can be found at 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒕𝒙𝒕-𝒂𝒓𝒄𝒉𝒊𝒗𝒆𝒔
Full IPFS index in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒊𝒑𝒇𝒔 and as plain text in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒊𝒑𝒇𝒔/𝒕𝒙𝒕
Gemini index for the day: gemini://gemini.techrights.org/2023/12/27/


╒═══════════════════ 𝐑𝐄𝐂𝐄𝐍𝐓 𝐁𝐔𝐋𝐋𝐄𝐓𝐈𝐍𝐒 ════════════════════════════════════╕
  Previous bulletins in IPFS (past 21 days, in chronological order):

QmbHjgPAAcGNUG9Sej4vSKhK8DfUYokfFkXLdKwr1JtGJG
QmdLsuRLzrwb58dZaSmJah6oCmNNZ6cW4ick4chqJmHjmY
QmTNR3uqcbMYjPAbbHjBqyNJb3ib8kytQvdFnATzkBFVvo
QmfCHrqMLfMsHXYnQeAvVuNYt91Zw2AmMJ5mx4RqsrWy3b
QmR2rr1yXDANjQBEz2oGtd2UMgy9U37FHdjpUhPfAk7h5z
QmWE6ucdKk9Q1pi6ce3ko9xPWd9Y4BjpLij3W7tJ5TMjG3
QmaoEDiALTYYZdaq3SQ86aQpMwUji1nqCeLbXAoszFRYvJ
QmSTkZUY74BcgbgqS6JKwwNbVnbzY5uqwpgWtYonGJua8s
QmXZcp3rXLYa24pYd7jUu6sPDrhziRCNCok875WLJTLysP
QmUE7nd24kx2soZFbSYKDsb1ik1wpirFTRTBhDTj6w9sjh
QmdKeWBhfnjgQLYU48wto7DdStpXsB5mE1yEEnWcxQ53vu
QmfSnnTnjcAe3YvtRsVgAwUJfpcEk1dM5J5yjJLyv7MxqM
QmQ16CkpxBbMzPZ6wZcuKBUcxH1RZ8uAEhcvdBsPRpVZe9
QmT3gTQRv33wEDtJveL8DiqiacGeRaxEbRFDUyVSJEAvDL
QmTs9qcwghZPs5oBh9qzsu8a11T4s6xHrJjVNyk5miFy3X
Qmdqd6mb8mj27qVvQZRR7sjshrXYYirWm9vRttLkNB5rW6
QmSjY85vxbu9nNFHUMmuK7CxRame2VYuhb523CJaK5zRkj
QmZwah9nZHVvSzbJWEAMxumYDpanFPqTahnqoNP83tuZbx
QmQWSrGfeYwgf6HE9N3742DJrJwq8uNSCUAz469CnuUFGe
QmcgTTyseF5zFd4MLquM4PtJZzkFcBEqaUbqDe4eaUx6Na
QmZMEFKvpgvjxAcV9Pwu7yF74LYZwS7ktdLFdYb988Ncfu


╒═══════════════════ 𝐈𝐍𝐃𝐄𝐗 ═══════════════════════════════════════════════════╕

⦿ Techrights  -  Audiocasts/Shows: Destination Linux, WordPress Briefing, and Linux Matters

⦿ Techrights  -  GBHackers On Security is Trash and It Should Probably Be Ignored (It Trash-talks Linux and SSH Based on Nothing at All)

⦿ Techrights  -  IRC Proceedings: Tuesday, December 26, 2023

⦿ Techrights  -  Over at Tux Machines...

⦿ Techrights  -  Taking Stock of an Exceptionally Strong Year

⦿ Techrights  -  [Video] 2024 Will Continue a Lessened Focus on the World Wide Web and HTTPS (a Steadily Perishing Protocol)

⦿ Techrights  -  When Linux Foundation Says "Community" It Means Mark Zuckerberg and the Intelligence Community (Spies, or Companies That Put Back Doors in Billions of Chips)

 ䷼ Bulletin articles (as HTML) to comment on (requires login):
https://news.techrights.org/n/2023/12/27/Audiocasts_Shows_Destination_Linux_WordPress_Briefing_and_Linux.shtml
https://news.techrights.org/n/2023/12/27/GBHackers_On_Security_is_Trash_and_It_Should_Probably_Be_Ignore.shtml
https://news.techrights.org/n/2023/12/27/IRC_Proceedings_Tuesday_December_26_2023.shtml
https://news.techrights.org/n/2023/12/27/Over_at_Tux_Machines.shtml
https://news.techrights.org/n/2023/12/27/Taking_Stock_of_an_Exceptionally_Strong_Year.shtml
https://news.techrights.org/n/2023/12/27/_Video_2024_Will_Continue_a_Lessened_Focus_on_the_World_Wide_We.shtml
https://news.techrights.org/n/2023/12/27/When_Linux_Foundation_Says_Community_It_Means_Mark_Zuckerberg_a.shtml

 ䷞ Followed by Daily Links (assorted news picks curated and categorised):
https://news.techrights.org/n/2023/12/27/Links_27_12_2023_Apparent_Suicide_of_Lee_Sun_kyun_New_Story_Abo.shtml
https://news.techrights.org/n/2023/12/27/Links_27_12_2023_DragonFlyBSD_Mirror_in_Nanjing_China_New_Bount.shtml

                    ䷩ 𝚕𝚒𝚗𝚎 66

╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕

(ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2023/12/27/Audiocasts_Shows_Destination_Linux_WordPress_Briefing_and_Linux.shtml
    Gemini version at gemini://gemini.techrights.org/n/2023/12/27/Audiocasts_Shows_Destination_Linux_WordPress_Briefing_and_Linux.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Audiocasts/Shows: Destination Linux,
WordPress Briefing, and Linux Matters⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Dec 27, 2023


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Social_Sign⦈_


    * ⚓ Tux Digital ☛ Destination_Linux_352:_Interview_with_Randy_Packer_of
      DreamWorks,_Open_Sourcing_MoonRay⠀⇛


           On this episode of Destination Linux (352), we have another
           awesome interview lined up for you. Michael sits down with
           Randy Packer, from DreamWorks, to talk about their open-source
           projects.


    * ⚓ 352:_Interview_with_Randy_Packer_of_DreamWorks,_Open_Sourcing_MoonRay⠀⇛


           show notes at https://tuxdigital.com/dl352


    * ⚓ WordPress ☛ WP_Briefing:_Episode_69:_Reflections_on_State_of_the_Word⠀⇛


           In this episode, WordPress Executive Director Josepha Haden
           Chomphosy reflects on the recent 2023 State of the Word, which
           took place in Madrid, Spain, and some of the highlights of the
           work across the WordPress open source project.


    * ⚓ Linux_Matters:_This_Is_How_I_Roll⠀⇛


           We discuss playing Baldur’s Gate 3, reviving the Ubuntu UK LoCo
           and running Snaps on NixOS




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⠨⣵⣿⣿⣿⣷⣌⣛⠿⠤⠤⠤⠤⠞⠋⣥⠾⠛⠉⠁⠉⠙⠛⠿⡷⡄⠀⠀⠀⠀⠀⣿⡇⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣸⡇⠀⠀⠀⠀⠀⣤⣩⣧⣬⣧⣾⣶⣤⣿⣿⣿⣿⣷⣾⣾⣿⣿⣾⣿⡿⠛⡁⠀⠀⠰⣿
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⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⣽⠀⢀⣿⠞⢿⣺⠀⠀⠈⠃⡄⡠⠀⠠⢠⠀⠀⠀⠀⠹⣷⣀⠀⠈⠻⣿⣿⠛⠁⠀⣠⣾⠋⠀⠀⠀⢾⠀⢰⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣟⢛⣿⣟⠈⠛⠛⣻⣿⣿
⣶⣿⣿⣿⣿⣿⣟⣿⣻⣿⣿⣿⡏⠀⣇⣽⡂⠀⠈⠀⠀⠀⢸⣿⣶⡆⠀⣸⠀⠀⠀⠀⠀⠈⠻⢷⣦⣤⣬⣥⣤⣶⡾⠛⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣻⣿⣟⣻⣿⣖⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⣷⣿⣿⣀⠀⠀⠀⢠⣾⣿⣿⠇⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠰⢈⠠⣿⣿⣿⣿⣿⣿⣾⣷⢻⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿
⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠘⢿⣷⣤⣤⣤⣶⣿⣿⣿⠟⠀⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢁⠙⣿⣿⣷⡟⣿⢿⢿⣵⣿⣿⣿⣿⣢⠘⠛⠋⢙⣿⣿⠀⣑⡇⣻⣿⠫
⣼⣿⣿⣿⣿⣞⣿⡟⣿⣿⣿⣿⣿⣿⣦⡀⠘⠿⠿⠦⠶⠾⠛⠁⣠⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⣀⣠⣶⣾⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⢴⠈⣀⠋⠛⣿⣿⣿⣿⣿⣿⣿⣿⡿⣭⣑⣽⠿⡅⠼⢿⠏⣁⢸⡇⢠⢻⠄
⣿⣿⣿⣿⣿⠿⢿⡇⢿⣼⣧⣿⣿⣿⣤⣼⣤⣦⣤⣠⠤⠤⣶⣿⣿⣿⣿⠁⠀⠀⠀⡀⢠⣶⣿⡿⠟⠛⠛⠛⠛⠋⣿⣷⣠⡄⠀⠀⠀⠀⢠⣀⣀⢀⠀⠇⠋⣿⠁⢿⡿⣻⠻⠶⠲⠘⠰⠆⣀⠐⢛⠁⢺⡏⠅⠀⠀⠂
⢻⣿⣼⣥⣯⣽⣾⡧⣿⣿⣿⣿⣿⣿⣿⠻⠙⠉⠀⠀⠀⠀⠀⠀⠈⠙⠿⣀⠠⠀⢨⠄⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣇⢐⢲⣦⠀⣘⡀⠈⠐⠂⠐⠂⠃⠀⣸⡇⠁⡌⠁⠀⢰⠘⠀⠄⣈⣈⠀⠸⢠⠅⣎⣷⢒
⢼⣿⣿⣿⣿⣯⣬⣷⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠁⠙⠀⠋⠀⠀⠸⠺⠾⠸⣿⠯⠁⠆⠀⠀⠉⠈⠽⠿⢉⠋⠀⢺⣀⡔⠀⠀⠉⣈⡋⠁⢀⢰⣂⣀⡉⢡⣄⢡⣶⣬⣼⣧⣾⣦⣿⣿⣽
⣈⣅⣨⣍⣽⣇⣀⣀⣀⣀⣀⣸⣽⠁⠀⠀⠀⠀⠀⠀⢀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⠒⠓⠂⢀⡂⠀⠀⠀⠀⢀⡀⠘⠀⠀⠘⠛⠋⠀⠀⠀⠂⣀⠀⠈⠈⠀⠈⢀⡈⠃⣀⠻⠺⠿⢷⣿⡿⣿⣿⢾
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⣽⣿⣿⣿⣿⣿⣾⣧⣬⣽⣿⣿⡇⠀⠀⠀⠀⠀⠀⠙⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠠⠶⠾⠴⠾⠶⠾⠇⠀⠀⣤⣴⣿⣿⠀⠛⠻⠆⠀⠀⠀⠓⢿⠉⠀⠀⠀⠀⠀⠀⠑⠀⠀⠃⠀⠀⠀⠀⣴⠠⣤⣰⠀
⢹⠿⠿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢼⡭⠩⢿⣭⠠⠄⠐⠀⠀⠀⠀⠀⠘⢶⣶⣷⣄⣄⣐⣲⣿⣷⣶⣆⡀⢀⡀⠀⠐⡀⠀⠀⡄
⠀⣿⣺⣿⣿⣿⣿⣾⣭⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠠⢠⣤⣾⣿⣿⣿⣷⣶⣤⣤⣤⣤⣶⣾⢾⣿⡷⠖⢼⣿⠀⠀⢺⣿⡆⠀⣸⣀⡀⠈⣏⣉⣁⡁⢸⣿⣿⣿⣿⣷⡀⣼⣷⣶⠀⣶⠖⠀⡆
⠀⢽⣿⣿⣿⣿⡿⢹⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢔⣄⣀⣶⣼⣿⣿⣿⣿⣿⡟⠿⠈⠁⠀⠃⠀⠀⠀⠀⠀⠥⠀⠀⠀⠁⠀⠀⠀⠀⢁⠸⠭⠏⠁⠀⢈⢹⢹⣿⢿⡏⠁⢹⠉⠙⣉⠉⣀⢀⣤
⢠⣴⣾⣿⣿⣿⣯⣈⣹⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣄⣀⣀⣀⣤⣄⠀⢨⣙⣀⣘⣿⣿⣿⣿⣿⣿⣿⣷⡆⠄⠠⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⢴⣿⣿⡴⡶⠀⠀⠸⠹⢻⣿⣿⠟⢀⡈⠀⣆⣿⡶⣿⣽⣹
⠀⡿⣿⣿⣿⣿⣿⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⣭⡟⠉⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠷⠢⣷⠀⠐⣿⣏⣹⣿⣿⡅⠺⢃⠀⠋⢹⠎⣿⣀⢰

                    ䷩ 𝚕𝚒𝚗𝚎 155

╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕

(ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2023/12/27/GBHackers_On_Security_is_Trash_and_It_Should_Probably_Be_Ignore.shtml
    Gemini version at gemini://gemini.techrights.org/n/2023/12/27/GBHackers_On_Security_is_Trash_and_It_Should_Probably_Be_Ignore.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ GBHackers On Security is Trash and It
Should Probably Be Ignored (It Trash-talks Linux and SSH Based on Nothing at
All)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Dec 27, 2023,
updated Dec 27, 2023


Dialing up the Fear, Uncertainty, Doubt (FUD)


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Guitar_Pedal⦈_


THE Web site called "Hacker News" (no, not that censorious hub but the so-
called 'news' site) is pure trash, just like "LinuxSecurity", which has just
advertised itself [1] and is habitually spewing anti-Linux messages, even when
totally misplacing the blame. A lot of so-called 'security' 'news' sites are
like this and it's because they're run by nontechnical or barely technical
people who try to sell_something.


Consider this new example [2] from "GBHackers On Security". It gives readers
the false impression there is something inherently wrong with SSH because
hostile, unauthorised people can gain SSH access if they get a username/
password combination some other_way and it is also the fault of Linux...
somehow.


   🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Hackers Attacking Linux SSH Servers to Deploy Scanner
Malware; Hackers often target Linux SSH servers due to their widespread use in
 hosting critical services, and the following loopholes make them vulnerable,
                         providing opportunities...⦈


Some basic research might say something like (maybe as a headline):
"Compromised passwords used to access servers remotely" (do keep your passwords
safe or use key-based login/s).


I used to think (or simply assume) "GB" in the site's name indicated British-
ness but judging by the names in the site (never mind the sensationalism like
pictures of evil aliens) it is probably Indian, just like "Hacker News". The
above is by Tushar Subhra Dutta. They basically produce a high volume of low-
quality, false, sensationalist junk. And no, it's not racist to point this out;
my Indian friends say there's this notoriety in English-speaking sites run by
Indians. A lot of SEO, chatbots etc.


Earlier this year Techrights covered many similar examples of SSH FUD (e.g. [1,
2]) - typically blaming some weak passwords like "helloworld" on SSH rather
than the true culprits. Bad passwords can be taken advantage of in parallel
dictionary-based attacks. Instead of focusing on one potentially well-protected
server you knock on about a millions servers serially until some very common
password is found to be used over port 22 (or similar).


Patched GNU/Linux is secure. OpenSSH is very secure and very selective in what
new code it introduces. █


_______


   1. ⚓ LinuxSecurity_Offers_Vital_Insights_On_Automated_Linux_Patch_Management
      &_Improved_Security [Ed: They also spread Linux-hostile_FUD_in_their
      site]⠀⇛


   2. ⚓ Hackers_Attacking_Linux_SSH_Servers_to_Deploy_Scanner_Malware [Ed: The
      issue here is neither Linux nor SSH. The article itself admits it's
      "stolen SSH credentials." An easy way to steal SSH credentials is to look
      for SSH users on Windows, which has_back_doors and ample attack
      surface.]⠀⇛


           Threat actors deploy malware on Linux servers after logging in
           with stolen SSH credentials.




⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠿⠿⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⠃⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⠉⠉⠉⠉⠋⢟⢿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠛⠛⠛⣋⣥⡶⠆⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⡀⠠⣴⣿⣿⣿⣿⠿⠛⠉⠁⠠⠠⠀⢀⣀⣨⣿⣿⣿⣷⡀⠀⠉⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣼⠂⠀⠀⠀⠀⢀⣀⠍⠁⠀⠀⠀⠀⠈⠙⠛⠛⠏⠋⠀⠀⠀⣠⣿⣿⣿⣿⣶⡂⠀⠐⠀⠹⡏⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⠃⠀⣀⡠⣼⡛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⠿⠛⣛⣛⠒⢤⠀⠰⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢠⣾⣿⡇⢸⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⢠⣴⣦⣄⠀⢀⠀⣿⣿⣿⡟⢁⣴⣿⡇⢸⣿⣶⡄⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣧⣼⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⢹⠀⠀⢿⠿⠿⠁⣾⣿⣿⣇⣸⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠻⣿⣿⣿⣿⣿⢿⠏⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠈⠛⠉⠉⠋⠁⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⠉⠛⠋⠉⠉⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠂⠀⠀⠀⠀⠈⠙⡏⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡦⠁⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⠀⠀⠀⠀⠀⢀⣠⠡⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⣿⣷⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠈⠀⣂⡀⢀⠠⠀⠒⠰⠁⡈⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠠⠀⢀⠄⠄⠂⠘⣿⣿⣿⡿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⡌⠀⡻⠄⠠⣀⠐⡨⠽⡴⠂⠀⠀⠀⠀⠀⢀⠀⣶⣿⣿⡿⠀⠀⠀⠀⢄⠉⠠⠀⣾⣿⠋⠟⠁⡀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠒⠓⠈⠓⠀⠄⠀⠈⠀⠀⠀⠀⠂⠄⠶⠴⠆⠙⠿⠛⠁⠀⠀⠀⠀⠀⠠⠶⠿⠿⠥⠖⠊⠐⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠰⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠿⠿⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢀⠄⠂⠠⠐⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠀⠄⠉⢓⠢⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢱⠂⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢋⠀⠀⠀⠈⠂⠁⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠄⠄⠀⠄⢤⠠⠀⠄⠠⣀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀
⣿⣿⣿⡇⠀⠀⠀⠀⢀⠀⠀⡀⠀⣰⡀⠀⠀⠀⡀⠀⠀⠀⠀⢸⣿⣿⢙⢙⠟⣛⢿⡯⢝⠿⣿⣫⠻⡛⢿⡏⣹⡟⢿⢙⡛⠻⡯⣯⢫⠻⡿⢻⣿⢯⠏⣹⡟⢿⢹⣟⢟⢻⣟⣿⡉⡻⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡇⠀⠀⠄⠀⠀⠀⠀⠀⠉⣿⡏⢑⠀⠀⠀⠀⠠⠀⠀⢸⣿⣿⡟⣿⡟⣿⢿⡿⠻⢿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠽⣿⣭⡉
⣿⣿⣿⡇⠀⠀⡀⠀⠀⠀⠀⢰⡈⢿⠀⣌⠁⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣾⣷⣿⣾⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣶⣿⣿⠶
⣿⣿⣿⡇⠂⠀⠇⣱⡀⠀⠈⠈⣼⣾⣮⣅⣁⢤⢠⢸⣸⠀⠐⢸⣿⣿⣶⣶⣧⠗⠱⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣤⣿⣿⣿⣿⣿⣿⣛⣿⣿⣃
⣿⣿⣿⡇⠈⠁⠀⠈⠁⠀⠀⠂⡘⣟⠈⠁⠀⠘⠁⠀⠉⠁⠀⢸⣿⣿⡿⠛⠁⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⢀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣇⣀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⣸⠿⠋⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⠃⠙⠋⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣖⣛⣳⣆
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠛⠉⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⡟
⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢻⠙⡟⢻⡏⡛⣟⢻⣿⡿⢹⢹⡟⡟⢻⡟⡏⢻⡟⣿⡟⣿⢻⣿⢻⢻⣿⣿⣿⣿⣿⢫⣿⠛⡟⠛⣟⢻⡿⡏⣿⢻⣿⣿⣿⣿⣿⣿⣿⣯⣯⣥
⣿⣿⣿⡇⠀⠀⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢿⢿⢿⠿⡟⠿⣿⢿⣿⡿⢿⠿⡿⠿⢿⠿⡿⣿⢿⢿⠿⠻⣿⠿⢿⢿⢿⣿⣿⣿⣿⣿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡇⠀⠀⠀⡀⠀⠀⠀⠀⠴⠤⠀⠠⠀⠆⠀⠄⠆⠠⠄⢸⣿⣿⣮⣶⣿⣨⣶⣾⣖⣾⣯⣶⣿⣷⣿⣶⣷⣾⣿⣿⣷⣶⣷⣾⣶⣿⣿⣷⣽⣷⣦⣀⠀⠀⠀⠀⠐⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡇⠀⠠⠂⠀⠀⠀⠀⠀⠂⠀⠔⠰⠀⠐⠆⠖⠀⠀⠀⢸⣿⣿⣾⣭⣮⣽⣬⣭⣬⣭⣬⣥⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⣤⣼⣿⣿⣿⣿⣇⣀⣿⣿⣿⣿⡟⠛⠛⠛⠛⠛
⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀
⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⣀⣀⣀⣀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠈⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 305

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⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ IRC Proceedings: Tuesday, December 26,
2023⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Dec 27, 2023


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Christmas_family⦈_


                                     🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇GN                                     🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇GNOME_Gedit⦈_


                                              #techrights_log                                                                                           #boycottnovell_log


                                     🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇GN                                     🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇GNOME_Gedit⦈_


                                         #boycottnovell-social_log                                                                                        #techbytes_log


                          Enter_the_IRC_channels_now




⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⢋⠁⠀⠀⠀⠀⠈⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠄⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⢁⠂⣐⡛⠆⠀⠀⠀⠤⠔⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⣰⣿⣿⣿⣅⠀⣀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⡄⠀⠀⠀⠀⠠⣶⣶⣶⣦⠀⠢⠀⠈⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢋⣤⣧⣽⣿⣿⣿⡿⠃⠁⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣀⠀⠀⠀⠀⠀⠸⠿⡿⡿⠿⠶⠄⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢸⣽⠟⣻⠿⠟⠋⡀⠤⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⢀⣠⣤⣴⣶⣶⣶⣶⣶⣶⣦⣤⣄⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠠⣷⣷⣤⣭⣶⡿⠿⠃⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠃⢀⠒⠂⣀⣉⣉⣉⣉⣈⣛⠒⠒⠂⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠉⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡿⠁⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣷⡄⢸⣿⣿⣿⣿⣿⡿⠿⠟⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣸⣿⡿⠟⠋⠉⠡⠖⠂⠀⠀⠀⠀⠀⢀⠈⠉⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠁⠀⠀⠀⠀⠀⠈⠉⠙⠛⠻⢿⣿⣿⠀⣿⣿⣿⣿⡿⢃⡀⠁⢐⡈⠿⠿⢿⣿⣿⣿⣿⣿⡟⠃⠀⠀⠀⠀⠀⠀⣶⠀⠀⣀⣀⣴⣟⡃⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡿⠟⠛⠻⠻⠟⠁⠀⢰⣶⣾⣦⣀⣀⣤⡞⠀⠀⠀⠀⠀⠀⠙⡟⠀⠈⠹⡟⠉⠐⠾⠟⠀⠈⣴⣶⣤⡀⢿⣿⣿⣿⣿⣿⣄⠀⠤⢀⡀⠀⠀⢹⡇⠐⠛⠻⠟⠛⠁⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣦⣦⣀⠀⣤⠀⠀⠀⠆⠙⠛⠛⠋⢩⣽⣅⠀⠰⣷⣄⠀⠀⠀⠀⠀⢁⣠⣥⣤⣄⣀⣠⣤⣾⣿⣿⣿⣷⠈⣿⣿⣿⣿⣿⣿⠀⠀⠈⠉⠁⠀⠘⠿⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⡀⢛⠓⠂⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢀⠀⠄⠀⠀⠀⠀⠀⣠⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢤⡷⠈⠛⠛⠓⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠈⢿⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠋⣤⡶⠔⠒⠂⠈⠉⠙⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠐⠊⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣷⣤⣤⣽⣟⡀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⡿⠿⠟⣿⣶⡶⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣦⡀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡟⡀⠀⠀⠀⠀⠀⢀⣀⣿⣦⣱⣤⣴⣶⣤⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⡹⠟⠙⠛⠓⠒⡿⠿⠁⣠⣶⣌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣶⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢿⠇⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣷⣌⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⢄⠀⠀⠠⢻⣿⣿⢿⣿⣿⣿⠏⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣷⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠠⣤⡀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠉⢿⣿⣿⣿⣿⣿⡗⠮⢭⡻⢿⣟⣿⣿⣿⡿⠿⠿⠟⠓⠀⠁⠀⠁⠊⠻⠟⣼⣿⣏⠉⠀⠘⠛⠛⠿⠿⠟⠛⠛⠉⠁⢹
⣿⣿⠟⢭⠿⠛⠉⠛⣻⣿⣿⡿⠿⠿⢟⠄⠰⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠁⣹⣿⠳⡿⡇⠀⠛⣿⣿⣿⣿⣿⢷⣶⣿⣷⣮⣽⠙⠁⣠⣤⣶⣾⣷⣶⣶⣶⡖⠛⠿⡀⠰⢬⠁⢀⡀⠀⢀⣤⣶⣦⣦⣀⠀⠀⠀⠀
⠿⠛⢃⣠⣴⣾⣿⣷⣶⣶⣶⣶⣶⣴⣬⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣿⣿⣿⣿⣿⡀⢤⣶⣶⠽⠁⠀⠀⣾⣿⣿⣿⣿⣯⣿⡿⣿⣿⣧⠈⠦⠄⠀⠀⣁⠀⣸⣿⣿⡿⣿⣿⣤⣦⡀⠀
⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣀⠀⠀⠀⠋⠉⠉⠿⣿⣿⡟⢻⣟⣿⡿⢻⣇⡀⠀⣴⡿⠀⣿⣿⣿⢀⣿⣿⠃⣿⡏⢰
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 526

╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕

(ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2023/12/27/Over_at_Tux_Machines.shtml
    Gemini version at gemini://gemini.techrights.org/n/2023/12/27/Over_at_Tux_Machines.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Over at Tux
Machines...⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Dec 27, 2023


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Christmas_gift_wrapped⦈_


⚓  Updated This Past Day⠀⇛


   1. ⚓ Twenty_seven_years_of_Linux⠀⇛


           We just thought they would have a setup a bit more resilient
           than a black box directly connected to our mail server


   2. ⚓ Stealing_Identities [original]⠀⇛


           a sick person online


      ⚓  New⠀⇛


   3. ⚓ Firefox_122_Enters_Public_Beta_Testing_with_Improved_Built-In
      Translation_Feature⠀⇛


           Firefox 122 web browser is now available for public beta
           testing with improved built-in translation feature and new
           privacy features.


   4. ⚓ Audiocasts:_Destination_Linux_and_Late_Night_Linux⠀⇛


           2 new episodes


   5. ⚓ today's_howtos⠀⇛


           howtos for the day


   6. ⚓ Programming_Leftovers⠀⇛


           Perl mostly


   7. ⚓ ReBoi_Raspberry_Pi,_Ubuntu_Weekly_Newsletter,_Openwashing,_and_More⠀⇛


           today's leftovers


   8. ⚓ PostgreSQL:_pgBadger_v12.4,_CloudNativePG_1.22.0,_1.21.2_and_1.20.5
      Released⠀⇛


           4 new releases of two pieces of postgres software


   9. ⚓ Best_Torrent_Clients_for_Linux_2024⠀⇛


           many people still like to use a normal GNU/Linux distribution


  10. ⚓ Stellarium_23.4_Added_Lens_Distortion_Estimator_Plugin,_Tibetan_Lunar
      Mansions⠀⇛


           Stellarium, the free open-source planetarium software,
           announced new 23.4 release few days ago


  11. ⚓ Android_Leftovers⠀⇛


           Android Auto 11.0 is coming with revamped icons and much more


  12. ⚓ The_curl_activity_of_2023⠀⇛


           We have the full commit history of all curl source code since
           late December 1999


  13. ⚓ D-Bus_overview⠀⇛


           D-Bus serves various purposes aiming to facilitate the
           cooperation between different processes in the system


  14. ⚓ FreeBSD_jailed_ZFS_datasets_–_how_do_I_find_the_.zfs/snapshot
      directory?⠀⇛


           On FreeBSD, you can jail a ZFS dataset


  15. ⚓ The_Grumpy_Cricket_(And_Other_Enormous_Creatures)⠀⇛


           releasing it under the GPL v3


  16. ⚓ Have_a_Helping_of_8-bit_Holiday_Cheer!_(2023_Edition)⠀⇛


           ‘Tis the season, and that means it’s time to push out the
           twelfth annual Byte Cellar vintage computer Holiday demo
           roundup so everyone can feel that warm, fuzzy, pixellated
           holiday glow


  17. ⚓ 2023’s_Moments_That_Marked_the_Open-Source_World⠀⇛


           The most remarkable events in the Open Source ecosystem that
           shaped the year. Let’s recall them


  18. ⚓ 7_Small_(Lesser_Known)_Distros_that_Emerged_Winner_in_2023⠀⇛


           Distributions that caught your attention in 2023


  19. ⚓ Enlightenment_0.26_and_EFL_1.27:_From_Eye-Candy_to_High_Performance⠀⇛


           Discover the revamped features and enhanced flexibility with
           Enlightenment 0.26 and EFL 1.27.


  20. ⚓ today's_howtos⠀⇛


           technical posts


  21. ⚓ Proprietary_Software_and_Security_Breaches⠀⇛


           3 more stories for Boxing Day


  22. ⚓ today's_howtos⠀⇛


           very few for now


  23. ⚓ In_North_America,_GNU/Linux_Surged_to_All-Time_High_This_Month
      [original]⠀⇛


           Racing towards 3.5%


  24. ⚓ GNU/Linux_Year_in_Review:_The_European_Perspective [original]⠀⇛


           don't take this for granted


  25. ⚓ GNU/Linux_Year_in_Review:_The_Asian_Perspective [original]⠀⇛


           Good year for GNU/Linux on the client side


  26. ⚓ GNU/Linux_Year_in_Review:_The_African_Perspective [original]⠀⇛


           Windows down, GNU/Linux up


  27. ⚓ Linux_Server_Operating_Systems:_Red_Hat_Enterprise_Linux_and_Beyond⠀⇛


           Things have changed


  28. ⚓ Ruby_3.3.0_Released⠀⇛


           Ruby 3.3 adds a new parser named Prism


  29. ⚓ Linux_Distro_Reviews:_Tuxedo_OS⠀⇛


           Tuxedo OS is based on Ubuntu LTS, the long-term support version
           of the world’s most popular Linux distro


  30. ⚓ Today_in_Techrights⠀⇛


           Some of the latest articles




⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣻⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡿⠄⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠼⢿⡷⢀⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⣶⣿⠟⠀⠀⠀⠀⠀⠀⠀⠘⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠁⢀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠟⠀⠀⠈⢿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣀⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡈⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠀⢀⣤⡀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠋⠉⠁⠀⠀⠻⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⣴⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡿⠀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡆⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⢼⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣤⣤⣴⣶⣆⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠾⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣏⡛⣃⣸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣀⠀⠀⠀⠀⠀⣶⣶⣶⣿⠿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣾⣿⣌⠉⠹⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⡀⣹⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣆⣀⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⣶⣶⣿⣷⣶⣄⠈⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣄⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠈⠉⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀⠀⠀⠙⢿⡿⠿⢿⣟⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢐⣿⣏⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀
⣠⣀⠀⠀⠈⠉⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀
⣿⣿⣷⣄⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀
⣿⣿⣿⡟⠀⠀⠀⠈⣿⣿⣿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⢻⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢻⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡀⠀⠀⠀⠀
⣿⣿⠟⠀⠀⠀⠀⠀⠈⠉⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣹⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⢸⣿⣿⣿⣿⡷⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣷⣴⣿⣿⣿⣿⣿⣿⣿⣿⡇⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠙⢻⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢴⣿⣿⣆⢀⣴⣶⣦⣄⡀⠈⠻⢿⣿⣟⣉⣹⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠋⠉⠉⠉⠁⠀⠀⠀⠽⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠁⢸⣿⣿⣿⣿⣿⡆⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⠀
⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⡿⠟⠋⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀
⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣀⣀⡀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀
⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⢿⡿⠛⠉⠟⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣷⣤⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀
⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡷⠶⣶⣶⡀⠀⠹⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠠⠇⠀⠈⠉⠙⢿⣿⣿⣿⣿⣿⣿⣶
⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣶⣿⣿⣷⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣴⣶⣦⣶⣶⣶⣶⣶⣶⣶⣦⣤⣤⣾⣿⣯⣥⣤⣀⣀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⣫⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣛⡅⣀⣀⣀⣀⣠⣄⣀⣀⣀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠉⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣤⣬⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣿⣿⣟⣛⣟⣿⣿⣿⣿⣛⣛⣛⣛⣛⣛⡛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⠿⠗⠀⠠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⣿⣏⠉⠁⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠋⠉⢼⣷⣾⣿⣿⣧⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠈⠛⢿⣿⡿⠃⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 808

╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕

(ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2023/12/27/Taking_Stock_of_an_Exceptionally_Strong_Year.shtml
    Gemini version at gemini://gemini.techrights.org/n/2023/12/27/Taking_Stock_of_an_Exceptionally_Strong_Year.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Taking Stock of an Exceptionally Strong
Year⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Dec 27, 2023


                           🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Desk⦈


THIS year was a terrible year for most people. We're lucky - and grateful -
that we're not among them.


As noted just now, in_Tux_Machines_given_the_relevance, GNU/Linux had a
relatively good year. So did we.


Our Web sites were finally upgraded (along with non-site stuff, such as Git,
Gemini and so on). As I left my job in December of last year I was able to
write a lot more articles and back in July I even broke an all-time record for
blog posts per month. In recent days we relaxed and readjusted in preparation -
even anticipation - for the new year. Lots of house work, home improvements,
and finally last night we watched a good movie. No rush. Time is invaluable and
so is health.


Today it is "officially" not a holiday anymore, so we shall be back to the
normal rhythm over the coming few days. It'll take time and it will be gradual.
News is still slow anyway. Not much "new information" is floating these days.


§ Many Thanks⠀➾


We would like to deeply and humbly thank those who helped us cover the server
bill until next December. Without you, things would be different.


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Roy_and_Rianne⦈_


We also wish to thank the many thousands, perhaps even millions (maybe that's
an exaggeration), who make Free software and are in effect making this site
"tick". My wife and I use Free software almost exclusively and our server is
running Free software too.


Software Freedom isn't about box-ticking; it's about exercising control and it
is about collective solidarity in the digital realm. As we routinely remind
people, just successfully migrating people to "Linux" (with proprietary junk on
top of it) is sort of like "Android"... teaching people to adopt Freedom-
respecting software such as Mumble or Jami is taking society a step further and
enhancing privacy - i.e. personal dignity - along the way.


§ The Split⠀➾


Techrights is not a "Linux site". Tux Machines has in fact inherited the role
of posting Linux links, as we envisioned in 2022 when we started developing our
static site generator. Techrights is more or less what its name suggests.
Whether we speak about patent monopolies or privacy, one common solution is
Free software and the goal is a better society - a more just society.


§ Unsung Heroes⠀➾


We must thank our readers and sources for this wonderful year. We have people
working hard behind the scenes; my wife is among them. As noted here before, I
see no reason why we can't carry on for another decade or even two decades. My
health is OK and I'm more motivated than ever. Over the Christmas period many
people read the site (even more than usual) and we even got some unexpected
exposure in YouTube - something we don't typically get from self-styled so-
called "influencers".


This coming summer Tux Machines turns 20 and last night we began discussing how
to do a small party for the event (milestone), even if that's still 5.5 months
away. Very few sites last this long as active sites (Tux Machines is active
every day; we keep it going even while on holiday abroad). Tux Machines is the
fruit of labour of many people.


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Smart_Home⦈_


§ New Challenges⠀➾


In 2024 Techrights won't be so focused on patents, partly because media
coverage regarding this topic died down and thus it's difficult to know what's
going on, except perhaps when a company like Apple faces product bans (blame
software patents and the ITC).


If you follow this site for GNU/Linux news, you should definitely also follow
Tux Machines. There's an RSS_feed_for_it and it is updated, on average, more
than once per hour.


It's too early to say "happy new year" because we expect to publish nearly 50
more pages this year. Since moving everything to this static site generator
we've created over 1,000 pages (in about 3 months) and over the Christmas
period we wrote some computer programs that will make us more efficient, i.e.
capable of producing more material, faster.


In spite of a year (or more) of vandalism in our IRC network, the old timers -
the real community - are still there and we have on-topic discussions. That's
the sort of thing the vandals wanted to prevent.


Will 2024 be the year "Hey Hi" (AI) becomes the next "Web3", "metaverse", or
whatever? It's worth noting that the overhyped company "Open" "Hey Hi" is
running out of places to borrow money from. It's deep in debt, still losing
money very fast, and looking for new investors (to shoulder losses). It's also
under investigation for its relationship with Microsoft. This won't end well
either way. The media may continue to pretend that LLMs are both revolutionary
and useful, spurring misguided adoptions followed by remorse and turnarounds.
Lots of money can be thrown into bubbles (PR/marketing budget), but if there's
no real substance there, sooner or later the bubble will pop. There's no "Hey
Hi" revolution or "era of Hey Hi". Machine Learning isn't new at all (I wrote
papers about it more than 20 years ago), it's just a bunch of "pump and dump"
fraud, asking investors to sink capital into a nothingburger. Don't get carried
away by any media apparatus sponsored by the frauds, who latch onto hype and
buzzwords (we post many examples of this in IRC every day).


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Security_Camera⦈_


§ Looking Ahead⠀➾


Economic analyses put forth the expectation that 2024 will bring no recovery.
The planet will continue to warm up, the poor will get poorer, social control
media will fail to contain/herd the masses, and Beijing (through Bytedance)
will continue to disseminate harmful_skinnerboxes to the next generation, i.e.
children, sedated by delusions about the world around them. We expect to be
covering issues such as these a lot more than we did in the past. It's a
growing type of threat and government officials are wooed by lobbyists and
bribed 'influencers', so they refuse to see and properly understand what's
going on. YouTube is waning fast (new reports say that TikTok rapidly overtakes
it) and it's nowadays hard to get Invidious instances to work with most videos
(MinceR says this_instance_is_more_robust_than_most). We predict that Google
will look for new excuses to remove (permanently purge) more_and_more_"old"
material_(that_it_finds_itself_unable_to_"monetise"), in turn vindicating us
because we kept speaking against outsourcers (the "clown" boosters).


On the Net, nothing is free. Someone must pay the bills.


§ Activism⠀➾


Some of the issues we covered here in the past do not immediately appeal to
people who are struggling for their daily survival. For instance, patent reform
is a distant ambition to people who worry about their next meal - putting food
on the table. Lecturing such people on software freedom is like preaching
veganism in Rwanda. We need to recognise that this permanent sense of urgency
if not emergency makes activism harder. To most people it's a luxury and when
making ends meet becomes harder people resort to instincts, emotion. Some lash
our in social control media, as if that's going to change anything...


Remember who controls all the major social control media. They control the
public discourse.


Facebook has been waning for years and Twitter (now X) is irrelevant to more
and more people, organisations, and governments. Those who flock to TikTok have
clearly learned nothing from prior experiences. Social control media is, at
best, a waste of time. We'll never do that. █




⠀⠀⠀⠀⠀⠀⠀⠂⠀⠢⠀⡀⠀⠀⢌⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠴⠠⡦⠀⣾⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⠈⣡⠁⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠄⠐⠁⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⢈⣹⠣⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⡇⠀⣄⢄⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠘⠉⢠⡈⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⠻⣚⠏⠼⠿⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢻⣿⠈⣧⡣⣢⢶⢾⣿⣿⣿⣿⣿⠉⠉⠉⠛⠛⠻⠿⠿⢿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⠀⠈⠀⠃⠀⢸⣿⣿⣿⣿⡿⠠⠤⣄⣀⣀⠐⠒⠠⠤⢄⣈⡉⠉⠛⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠿⠿⠿⠿⠿⢿⣿⣿⢩⣭⣍⣉⣛⣛⠀⠘⠃⠀⠀⠐⠈⠀⣼⣿⣿⣿⣿⡇⠀⠀⠐⣾⣿⣿⣿⣶⣦⣤⣄⣀⡀⠰⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠖⠶⠶⠀⠀⠈⠀⢸⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣦⣤⣄⣀⣉⠉⠉⣿⠇⠘⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⡂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⠀⠀⢀⢸⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⡷
⢠⣠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⡄⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠟⠀⠀⠀⣜⣿⣿⣿⣿⣿⣿⠃⣡⠼⣉⠛⠛
⠠⣟⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⠀⠀⠀⡀⠀⠁⠻⠅⠻⣿⣿⣿⣿⠠⠖⡚⠤⢀⡀
⠀⢿⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠛⠿⢿⣿⣿⣿⣿⣿⣿⣧⣶⣤⣉⠻⠿⠀⠀⣀⢻⣦⡀⠀⠀⠀⠁⠙⢿⡇⠀⢫⠤⣁⠄⠀
⠀⠘⡏⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣈⣏⣀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣠⣀⠀⠀⠀⠀⠈⠉⠛⠻⠿⣿⢸⣿⣿⣿⣿⣦⣄⡀⠙⠾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠐⠉⠀
⠀⠀⠹⢹⣿⣷⠀⠀⠀⠀⢀⣤⢶⣶⣶⠉⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣛⣛⣛⣿⣿⢃⠀⠀⠀⢸⣿⣿⣿⣦⣼⣷⣦⣀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣿⣿⡄⢀⣴⣾⣿⣷⣿⣿⣿⡄⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣛⣛⠛⢛⣛⣻⡏⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⡿⠀⡄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡗⣀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⣻⡾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠿⢿⡿⢿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⢿⠀⠀⠀⠀⠉⠙⠻⠿⣿⣿⣿⣿⡇⠀⠷⠇⠀⣿⣿⣿⣿⣿⣿⣿⣿⡟⠳⠛⠿⣦⣀⡆⠀⠟⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣠⣦⣤⣤⣤⣤⣼⣥⣦⡬⠃⠀⠠⡄⠀⠒⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⡏⠘⠦⣄⠀⢉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣷⠀⠀⠉⠙⢿⣷⡀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡀⠀⠀⢀⠀⠀⠀⠀⠒⣸⣿⣦⣄⡀⠀⠀⠈⠻⣿⣿⣿⢹⣿⣷⣦⣈⠑⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠻⢷⠀⠀⠀⠀⠁⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠶⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⡶⢶⣿⣿⣿⣻⣿⣶⣄⡀⠀⠀⠙⠿⢹⣿⡇⣌⠻⢧⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠈⢿⡍⢿⣿⡜⢿⡟⡿⠋⠃⠀⠀⠈⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⡆⠀⠀⠤⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠈⠻⢸⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠁⠀⠻⣧⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⡏⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠘⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⢀⣄⣀⣀⣀⣀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣶⡄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣯⡁⠀⠀⠀⠈⢷⣄⠈⠻⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣷⡄⠀⠀⠀⠀⠙⣧⡀⠈⢻⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣦⠀⠀⠀⠀⠈⠻⣦⡀⠙⢿⣿⣿⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣷⡀⠀⠀⠀⠀⠙⢷⣄⠀⠙⠇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣆⠀⠀⠀⣀⣀⣻⣵⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⡿⠿⠗⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢸⣿⣿⣍⣯⢻⢿⡿⠷⠁⠀⠄⠓⠚⠀⠀⠅⠰⠻⡉⡉⠀⢸⡀⢸⢸⣁⣠⡄⣿⣿⢬⣿⣿⣿⣿⣿⠊⢽⣾⣿⣿⣷⣮⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠛⠛⠻⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣼⡇⠀⠠⣤⣶⡶⣿⣿⣿
⢛⡟⢻⠯⣳⣿⣾⠆⢠⡄⡠⠂⡀⠀⠀⡀⠈⣆⡄⢳⣠⡀⠀⣇⣼⡇⢽⣷⢩⣽⣯⡋⠅⡿⣿⣿⣿⡏⢫⣿⣯⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⣀⣀⣀⣀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡇⣶⣷⡶⠿⠛⣿⠿
⠷⢫⣄⣲⣿⣿⠹⣶⣾⡿⡷⠄⠀⠀⠀⠑⠄⠁⢀⠘⢧⢻⠂⣿⡟⡇⢾⡇⠀⠸⠏⠀⠄⠱⣿⡟⣫⡆⠀⢝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣷⣦⣠⣀⡀⠙⢻⣿⣿⣿⣿⣿⣿⠡⡇⠙⣽⣶⣿⣿⣿⡆
⢈⠁⣙⢫⣿⣿⡓⣏⢋⣱⣠⠂⠀⣠⣼⡶⠓⠶⠀⠂⡘⡦⠋⠻⡇⠃⠘⠀⠀⠀⠀⠠⠞⠀⠨⠇⠛⠀⢈⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠇⠀⠸⣿⣿⣿⣿⣿⣿⡇⣿⠀⣟⣩⣭⡛⠛⠛
⣼⣄⠀⢘⠋⠁⠉⠙⠀⠃⢰⠀⠀⡧⣿⣦⠂⢰⣦⠀⠘⠈⠆⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠘⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣏⠀⠈⠀⣿⣿⣿⣿⣷⣤
⣿⣿⡁⣀⠻⠶⠌⠞⠀⢀⡀⠠⠂⠈⣑⣾⣄⣀⠽⡶⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⡀⢀⠈⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢹⣿⣿⣿⣿⣿⣿⣶⣦⣿⣿⣿⣿⣿⡿
⣧⠿⢿⡿⠗⠴⢋⠀⠀⠀⠀⠤⠄⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⠟⠛⠀⠀⠀⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣧⣮⣾⣏⠵⢠⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠂⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⢿⣿⠟⡒⣾⠄⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡀⣿⣿⣿⢿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠁⠀⠗⠀⠀⢀⣖⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣷⣶⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠅⠈⠀⠀⠀⠀⠠⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣶⣶⣶⣶⣿⣿⣿⣿⣿⣷⣿⣿⣿⠸⣿⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠈⠐⠀⣾⣧⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠂⡇⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠈⠀⠈⠿⣿⣿⡰⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠉⠁⣄⠀⠀⣿⣿⡿⣋⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠉⠼⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠁⠀⠀⣼⣿⠣⣾⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠸⢻⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣭⡙⠛⢿⣿⣿⣿⣿⠿⠟⠛⠻⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠿⢿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣗⣠⣾⡿⣿⣿⣿⣿⣿⠧⠒⠚⣛⠛⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙
⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣷⣶⣶⣯⣤⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠐⠁⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢾⣿⣆⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠚⠉⠉⠉⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣷⣿⣿⢟⠄⠀⡀⠠⠀⠀⣀⣠⣴⣤⣼⣗⣴⣶⡞⢉⣠⣭⣷⣷⣤⠂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⣿⣿⡿⠁⠂⣴⣿⣾⣦⣾⣿⣿⣿⣿⣿⣿⠟⢁⣴⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣟⣿⣯⣽⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣭⣽⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣽⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣿⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢫⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣷⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣾⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣽⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣷⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣻⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣿⣟⣿⣿⣷⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣯⣯⣽⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣭⣟⣻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⢿⣷⣿⢿⣿⣾⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣾⣿⣿⣿⣿⣿⣿⣷⣶⣯⣭⣛⣻⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⡿⣟⣷⣿⣿⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣭⣛⣫⣵⣾⣿⣷⣬⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣷⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣟⣿⣿⣿⣿⣿⣿⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣍⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣷⣿⣿⣿⣿⣿⣷⣽⡛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣭⣟⣛⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠉⠀⠀⠉⠻⢿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⢿⣿⣿⡿⠿⠿⣟⣛⣯⣭⣽⣷⣶⣶⣮⡛⠿⣿⣿⣿⣿⡿⠻⢿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠘⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⢀⣀⣀⣀⣼⣿⡇⠀⣰⣶⣄⠀⠙⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣽
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢻⣿⣿⣿⠿⠃⠀⠀⠀⢠⣿⣿⣿⡿⠋⠉⠁⠀⠻⣿⣿⠇⣨⣿⣿⣿⣿⣿⢶⣾⣿⡿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣯⣬⣽
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠸⣿⣿⣷⣷⣦⠀⠀⠀⠸⠟⠉⠀⠀⠀⠀⠀⠀⣀⣼⣿⣿⡿⣿⣿⣿⣿⣿⣿⢻⣷⣏⣹⣿⣿⣿⣯⣿⣿⣿⣾⡟⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⢹⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣿⣿⣼⡇⣿⣿⢿⣿⣿⡟⠘⣩⣾⣿⣿⣿⡾⠛⡝⣿⣿⣿⡿⣿⢿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠂⠀⠋⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⢠⣾⣿⣿⣏⣿⢿⣿⣾⣿⣿⢸⠿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⢿⡼
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠿⠇⠀⠀⠀⣈⣿⣿⣿⣿⣿⣿⣿⠟⠉⠉⠈⠻⠻⠛⠹⠾⢟⣷⡇⠽⠟⠉⠁⠉⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣷⣆⠀⠀⠀⠀⠀⢸⣿⡿⢿⣿⣿⣿⣿⣿⡟⣻⡿⢤⠤⠀⠠⣴⣒⠤⠟⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣷⣿⣿⣿⡟⢡⣿⣿⣿⣿⣿⣿⣏⢉⡁⠀⠀⠀⠄⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡀⠀⠹⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣟⠋⣼⣿⣿⣿⣿⣶⣿⣿⡻⣿⡿⠿⠿⠁⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⣦⡀⠈⢿⢿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢸⣿⣿⠿⣿⣿⣿⣿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢿⣿⣶⣴⠚⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⢄⠐⣾⣿⡇⠀⢈⣿⠟⠉⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠻⣿⣿⣷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⣤⢷⣿⣿⣿⣿⣿⣧⡀⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣀⣀⣤⣴⣿⣿⣿⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠈⢿⣿⣿⣦⡤⢤⣤⡤⣤⣤⣤⣤⣤⣤⣠⣼⣿⡿⠀⠈⠉⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡶⠾⠛⠛⠉⠋⠉⢀⣠
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠃⠀⠀⣠⣄⣻⣿⣿⣷⡾⠧⠤⠤⠤⠤⠬⠿⢤⡿⠿⠟⢡⣿⣿⠜⠿⠿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣴⡾⠟⠋⠁⠀⣀⠀⣨⣤⣴⣾⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠙⠿⣿⣿⣷⡆⠀⢠⣾⠂⠀⠀⠀⢀⣤⠀⠀⢀⣾⣿⣿⣄⡀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣶⣿⠿⠋⠁⠀⢀⣀⣤⣶⣧⣾⣿⣿⣿⡿⠿⣛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⢹⣿⠏⠁⠀⠘⠷⠄⠀⠀⠈⣿⣿⣷⠀⢹⣿⣿⣿⠿⠃⠀⢀⣄⣰⣶⣿⣿⣿⣿⣿⠟⠁⣀⣠⣶⣾⣿⣿⣿⣿⡟⢻⣿⣯⢀⣴⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢲⣿⣿⣧⡄⠀⠀⠀⠀⢻⣿⣿⡇⠀⣿⣿⡟⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⣾⣿⣿⣿⡿⠟⢛⣩⣥⣶⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⣿⣿⣿⡇⠀⣷⣲⠀⠀⠿⠿⠃⠰⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⡟⣁⣤⣴⣿⣿⣏⠉⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣀⣴⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡀⢻⡿⠀⢠⣾⣿⡆⠀⠛⢻⣿⣿⣿⣿⣿⣿⣿⣟⣫⣾⣿⣿⠿⠛⠋⠉⠁⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣷⡆⠀⠀⣠⣤⡀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣧⡀⠃⢠⣾⣿⠛⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠟⠁⣴⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⢻⣿⣿⣿⣿⣿⣿⣶⣂⢙⣿⣇⠀⣠⣤⡀⠏⠙⢻⣿⣿⣿⣷⣄⠈⠙⠻⠇⠀⠀⠐⠻⠿⠿⠿⠿⣿⣾⣿⣿⠿⠀⠸⣧⢹⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣦⠀⠙⠋⠀⠈⠙⠟⠛⠛⠉⠀⠀⠀⣀⡀⠀⠀⣤⣄⠀⠀⠀⢨⣶⠹⣿⣿⣶⣶⣶⣶⠀⢠⣶⣼⣿⣿⣿⠏⠀⠀⢀⣀⠀⢀⡏⢸⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡀⢀⣀⠙⠁⠀⠀⢹⣷⣶⣶⣄⣀⢹⣿⣿⣿⣿⣿⣿⠃⠀⢠⣿⣿⣿⡿⠃⢀⠀⠀⠸⣿⡇⠸⢡⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⣡⣿⡿⠃⠀⣀⣀⠀⠙⢛⣛⣿⣿⣿⣿⣿⢿⣿⣿⣿⡇⢰⣿⣿⣿⢋⡆⠀⣼⡆⠀⠀⢹⣷⣴⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 1105

╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕

(ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2023/12/27/_Video_2024_Will_Continue_a_Lessened_Focus_on_the_World_Wide_We.shtml
    Gemini version at gemini://gemini.techrights.org/n/2023/12/27/_Video_2024_Will_Continue_a_Lessened_Focus_on_the_World_Wide_We.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ [Video] 2024 Will Continue a Lessened Focus
on the World Wide Web and HTTPS (a Steadily Perishing
Protocol)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Dec 27, 2023


Video_download_link | md5sum 18c2a8c53e04ba34b547eeb49767722a
Diversifying_Online
Creative Commons Attribution-No Derivative Works 4.0


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Preview_for_Diversifying_Online⦈_


TODAY'S first video speaks about Techrights not only as a site (on the
shrinking_World_Wide_Web) but a capsule in Gemini, an IRC community, IPFS and
so on. It has been a long time since we last did a video on these sorts of
topics and we now have built-in redundancy (multi-location) to make us more
robust in case of hardware issues, network outages etc.


We had a_strong_year_in_2023 (so_did_GNU/Linux,_whose_usage_is_surging), partly
because I left my job at the end of last year. Throughout the year we witnessed
loads of Microsoft_layoffs and wrote over 3,000 posts/articles - highest since
2010!


Those publications received plenty of views (new audience) and fortunately used
protocols other than HTTP/S, yet the video complains about insane "bloat" in
IPFS (using up power and bandwidth like crazy) and likewise in the "modern"
Web. We try to introduce readers to new protocols, alternative routes. We need
to get back to "basics".


To avoid this article covering the same points as the video, let's consider
what causes Microsoft's demise and what comes next. Microsoft forged alliances
with hardware companies/OEMs that want to sell as many computers as possible
rather than make a robust product that lowers the demand for future products
(sales). This demonstrates that technology can intentionally be hostile towards
its users. Bloat is, to these companies, highly desirable. Optimisation is not.


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Child_working_at_early_age⦈_


One possible reason for the AI bubble which was discussed already was that
Microsoft has unviably large amount of overprovisioned and underutilized Azure
services which it can burn on LLMs, someone has explained. Another possible
reason could be that Microsoft software bloat has not kept up with x86
advances. Remember the Wintel duopoly used to play off each other to keep
businesses buying new hardware and software in alternation. Even as bloated as
Vista 10 and Vista 11 are, they are not going to strain. Thus a second reason
for forcing TPM dependencies, but perhaps mostly by adding LLMs to the OS it
can be that Microsoft has found a way to bloat out the software enough to
require new more powerful hardware, independent of the DRM / TPM problem.


When it comes to browsers, making the Web more bloated and complex is a way to
weed out competition. Microsoft did what with MSIE (e.g. ActiveX) and Google
does does the same in collaboration with Mozilla, which it controls if not
practically owns.


When it comes to the hardware required, "psydroid" (in IRC) asks, "is there
anything to say about how Microsoft is scrambling to come to terms with RISC-V
(partnerships), which is being portrayed as a China thing that is meant for
China due to sanctions imposed on Chinese companies, so they can't use x86 and
arm? The world of technology is looking increasingly scary and polarised - more
about "national security" than the best technology to get things done. [...] I
had a discussion on a website these past few days and the arguments used don't
look sincere, but are used more to justify the status quo."


As we originally planned 1.5 years ago, this site was converted in full to
static pages, lowering the load on the server by orders of magnitude and making
it viable to serve even from a very low-end machine. This is not good for
hardware companies. But it is very good for the planet. █




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⣿⣿⣿⣿⣯⢟⣽⢿⣿⣿⣯⣟⠿⣿⢿⡿⠿⠏⣹⣿⣿⣿⣿⣿⣿⡿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣛⣻⣿⣿⣻⣛⣿⣻⣿⣿⣿⣿
⣿⣿⠟⠁⠃⢚⣛⣚⣛⣛⠛⠛⠛⠀⠉⠉⠁⢠⣿⣿⣿⣿⣭⣿⣿⣿⣿⣯⢯⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠋⠀⠀⠀⠈⠉⠉⠉⢉⢲⠆⠰⢀⠂⠀⢀⠿⢽⢿⢿⣿⡿⢿⣿⣿⣿⣿⣿⠿⠿⢿⣿⢿⠿⠿⡿⡿⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣟⣿⣿⣿⣞⣿⣾⣿⣶⣿⣿⣾⣷⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣽⣿⣯⣯⣭⣿⣭⣿⣭⣭⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣶⣷⣾⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠽⠙⠀⡆⢠⠀⠄⡀⣄⡄⡄⢄⡀⠀⠁⣀⢠⢠⢠⠠⢠⠀⢰⠀⡆⡄⡄⡆⢠⠠⢠⣠⠀⠀⠀⠀⠀⠒⣉⣉⡝⣻⠟⠉⠩⣽⣿⢿⣿⣿⠙⢻⣿⣿⣿⣿⣿⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⡌⣰⣟⠐⠄⠀⠀⠀⠀⠀⠀
⣶⠶⠀⠁⠁⠀⠈⠀⡁⣀⢁⡁⣁⣀⣀⣋⢈⡈⠈⠈⠘⠀⠈⠀⠀⠁⠁⠁⠈⠀⠈⠀⠀⠀⠀⢐⣀⢒⣒⣓⣒⣺⠀⠀⠈⠉⠉⠩⢉⡅⠀⠉⠀⠍⢩⠹⠋⠟⣼⣒⣊⣿⣿⡿⢿⣿⣿⠛⣿⣿⣛⡛⠀⠀⠀⠀⠐⠀
⠿⠁⠁⠀⠀⠀⠀⢿⣿⣿⣿⣚⣟⣻⣿⣿⣿⣗⣿⣿⣖⣒⣂⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠰⡶⣶⣶⣶⣶⣾⡂⣢⣵⣖⢲⡖⣶⣶⠀⣴⡆⠶⠦⢼⠍⠭⣿⣿⡿⣿⣿⣭⣽⣿⣯⡬⠭⠭⠭⡍⠀⠀⠀⠀⢨⡀
⠀⠀⠀⠀⠀⠀⠀⢖⣶⣾⣾⣲⣲⣿⣖⣒⣷⣟⣾⣿⣿⣖⣿⣖⣖⣦⣄⠀⠀⠀⠀⠀⠀⠐⠢⣴⣶⣾⣶⣶⣶⣾⠄⢙⣛⢸⣶⣻⣿⡿⢀⡂⠿⠡⡿⣿⣷⢸⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⢸⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠓⢶⣚⣒⣒⣛⣛⣟⣓⣒⣲⣶⣾⣶⣾⣷⣶⣶⣿⣶⣦⠀⠀⠀⠀⣴⣶⣾⣶⣶⣶⣿⣿⣿⡀⠐⢒⣃⣻⡿⢿⣿⠠⣷⡦⢬⠿⣿⣿⡼⢽⡵⢿⣭⣿⡿⠟⠿⠿⢿⣿⣏⣭⣭⠀⠀⠀⠀⢨⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠂⣒⢒⣒⣟⣿⣿⣗⣿⣿⣿⣿⣿⣿⣟⣓⠊⠀⠀⠀⠀⢐⡒⣲⣒⣒⣒⣒⣳⣻⣿⣿⣿⣿⣿⣿⣿⣿⢨⣿⣯⢽⣿⣝⢿⣧⡌⠋⠁⠀⠀⠀⠈⠁⠁⣼⣾⣯⡋⢻⠂⠀⠀⠀⠀⡧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣂⣒⣚⣻⣿⣿⣿⣿⣟⣿⣚⣚⠂⠀⠀⠀⠀⠀⣀⡀⣒⣲⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⢈⣿⡯⣿⣿⣿⣧⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣷⡿⠄⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⢦⣿⣶⣷⣾⣶⣾⡾⠁⠀⠀⠀⠀⠀⠀⢀⡴⣾⣦⣶⣶⣶⣿⣿⣿⡿⢿⢿⣿⣿⣿⣿⢨⣿⣿⣻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣢⣿⣿⡻⠇⠆⡀⠀⠀⠀⢧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⠒⣚⢳⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠃⠛⠛⠛⠛⠛⢻⡯⣿⢽⣿⣿⣿⣿⠰⢿⣿⣺⣓⣟⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠛⠃⠀⠀⠔⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣽⣯⣿⣿⣿⠋⠀⢛⣿⡖⣖⣒⣓⣚⡦⣀⠀⠀⢀⣀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⣿⢿⣿⣿⣿⣿⣿⠟⠀⠀⠀⣿⣷⡾⠋⠋⠹⠉⠉⠘⠙⡟⠋⢋⣌⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣙⣿⣆⡑⢾⡿⡏⠀⠀⠀⠀⠘⢓⣒⡶⠶⠢⠀⠀⠀⠀⠄⠲⠆⠊⠀⠐⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣻⣿⣿⣶⣈⣇⣀⣀⣀⢀⣀⣀⣈⣉⣀⣀⣠⣤⣤⣄⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣂⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣯⣿⣿⢽⣿⣿⣿⡿⡿⢿⣿⢿⣿⢽⠿⡿⡿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣯⢟⣽⢿⣿⣿⣯⣟⠿⣿⢿⡿⠿⡏⣹⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣛⣻⣿⣿⣻⣛⣿⣿⣿⣿⣿⣿
⣿⣿⠟⠑⢃⢚⣛⣚⣛⣛⠛⠛⠛⠀⠉⠉⠁⢠⣿⣿⣿⣿⣯⣿⣿⣿⣿⣯⢯⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠋⠀⠀⠀⠈⠀⠈⠉⢉⢺⠆⠠⢀⠂⠀⢀⠿⢽⢿⢿⣿⡿⢿⣿⣿⣿⣿⣿⠿⠿⢿⣿⢿⠿⠿⡿⡿⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣟⣿⣿⣿⣟⣿⣾⣿⣶⣿⣿⣾⣷⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣽⣿⣯⣯⣭⣿⣭⣿⣭⣭⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣶⣷⣾⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠽⠹⠀⡆⢢⠀⠄⡀⣄⡄⡤⢤⠄⠠⠀⣀⢠⢠⢠⠠⢠⠀⢰⠀⡄⡄⡄⡆⢠⠠⢀⣠⠀⠀⠀⠀⠁⢙⣉⣉⡝⣫⠛⠉⠩⣭⣿⢻⣿⣿⠙⠻⣿⣿⣿⣿⣿⣿⠇⢾⣿⣿⣿⣿⣿⣿⣿⠄⣰⣆⡰⠄⠀⠀⠀⠀⠀⠀
⣶⡶⠀⠁⠈⠀⠈⠀⠁⠀⠁⠀⠁⠀⠀⠍⠈⠈⠈⠨⠜⠀⠈⠀⠁⠁⠁⠁⠈⠀⠈⠀⠀⠀⠀⢐⢂⣒⢐⣓⣒⣺⠁⠀⠈⠉⠉⠩⢉⡅⠀⠉⠁⠉⢩⢹⠛⠟⣴⣒⣊⣿⣿⡿⢿⣿⣿⠛⣿⣟⣛⡛⠀⠀⠀⠀⠀⠀
⠿⠁⠀⠀⠀⠀⠀⢿⣿⣿⣿⣚⣟⣻⣿⣿⣿⣗⣿⣿⣖⣒⣂⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⡶⣶⣶⣶⣶⣾⡀⣠⣵⣖⢶⡶⣶⣶⠀⣴⡆⡶⠦⢼⠍⠩⣿⣿⣿⣿⣿⣭⣽⣿⣭⣬⠭⡭⠭⡥⠀⠀⠀⠀⢐⡀
⠀⠀⠀⠀⠀⠀⠀⢖⣦⣶⣾⣲⣲⣿⣖⣒⣷⣟⣾⣿⣿⣖⣿⣖⣖⣦⣄⠀⠀⠀⠀⠀⠀⠐⡰⣶⣶⣾⣶⣶⣶⣾⠀⢛⣛⢸⣾⣻⣿⡿⢀⡂⠿⠁⡽⣿⡷⢸⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠿⠀⠀⠀⠀⢸⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠓⢶⣚⣒⣒⣛⣛⣟⣓⣒⣲⣶⣾⣶⣾⣷⣶⣶⣿⣶⣦⠀⠀⠀⠀⠐⣰⣾⣶⣶⣶⣿⣿⣿⡂⠀⢐⣃⣻⡿⢿⣿⢠⣵⡮⢬⢿⣿⣿⡜⢭⣷⢯⣽⠿⡿⠋⠿⠿⢿⣿⣇⣭⣭⠀⠀⠀⠀⢐⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⣒⢒⣒⣟⣿⣿⣗⣿⣿⣿⣿⣿⣿⣟⣓⠊⠀⠀⠐⠀⢀⢒⣲⣒⣒⣒⣒⣳⣻⣿⣿⣿⣿⣿⣿⣿⣿⢈⣿⣯⢽⣿⡝⢿⣷⡌⠉⠁⠀⠀⠀⠈⠀⠀⣾⣾⣯⡋⢻⠆⠀⠀⠀⠐⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡂⣒⣚⣻⣿⣿⣿⣿⣟⣿⣞⣚⠂⠀⠀⠀⠀⠀⠀⡐⢒⣲⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣿⡯⣿⣿⣿⣧⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣷⠻⠆⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡒⢦⣿⣶⣷⣾⣶⣾⡾⠁⠀⠀⠀⠀⠀⠀⢀⠴⢾⣦⣶⣶⣶⣿⣿⣿⡿⢿⢿⣿⣿⣿⣿⢸⣿⡿⣻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣭⣿⣿⡻⠗⠆⡀⠀⠀⠀⢧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⠒⣚⢷⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠛⠛⠛⠛⠛⢻⡯⣿⢽⣿⣿⣿⣿⠸⣿⣿⣺⣲⣟⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠛⠃⠀⠀⠔⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣰⣿⣿⣿⣽⣿⣿⣿⠉⠀⢛⣿⡖⣖⣒⣓⣚⡦⣀⠀⠀⢀⣀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⣾⢿⣿⣿⣿⣿⣿⠏⠀⠀⠀⣿⣷⡞⠛⠋⠹⠈⠉⠘⢛⡛⠋⢋⣄⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣹⣷⣆⠑⢾⡿⡋⠀⠀⠀⠀⠙⢓⡒⣲⠖⠢⠀⠀⠀⠀⠤⠲⢆⠂⠀⠐⠄⢀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣐⣀⣀⣈⣻⣿⣿⣶⣈⣆⣀⣀⣀⣀⣀⣀⣈⣁⣀⣀⣠⣤⣤⣄⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣂⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣯⣿⣿⢽⣿⣿⣿⡿⡿⢿⣿⢿⣿⢽⠿⡿⡿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣯⢟⣽⢿⣿⣿⣯⣟⠿⣿⢿⡿⠿⡏⣹⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣛⣻⣿⣿⣻⣛⣿⣿⣿⣿⣿⣿
⣿⣿⠟⠑⢃⣚⣛⣚⣛⣛⠛⠛⠛⠀⠉⠉⠀⢠⣿⣿⣿⣿⣭⣿⣿⣿⣿⣯⢯⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠋⠀⠀⠀⠈⠀⠉⠉⢉⢲⠆⠠⢀⠂⠀⢀⠿⢽⢿⢿⣿⡿⢿⣿⣿⣿⣿⣿⠿⠿⢿⣿⢿⠿⠿⡿⡿⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣟⣿⣟⣿⣿⣿⣟⣿⣾⣿⣶⣿⣿⣾⣷⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣿⣿⣯⣯⣭⣿⣭⣿⣭⣭⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣶⣷⣾⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠽⠙⠀⡆⢢⠀⠄⡀⣤⡄⡤⢠⠄⠠⠤⢀⢠⢠⢄⠠⢤⠀⠠⠒⡄⡤⡄⡆⢠⠤⢀⣤⠀⠀⠀⠀⠀⢛⣋⣉⡝⣫⠟⠙⠹⣭⣿⢿⣿⣿⠙⠻⣿⣿⣿⣿⣿⣿⢃⣿⣿⣿⣿⣿⣿⣿⣿⢀⣹⢎⠰⠄⠀⠀⠀⠀⠀⠀
⣶⠶⠀⠓⠈⠀⠈⠁⠑⠀⠁⠐⠁⠀⠀⠍⠈⠈⠈⠠⠜⠀⠈⠀⠁⠁⠁⠁⠈⠀⠈⠀⠀⠀⠀⢐⣂⣒⣐⣓⣒⣺⠀⠀⡈⠉⠉⠩⢉⡅⠀⠉⠁⠍⢩⢹⠛⢟⡆⡯⣻⣿⣿⣿⣿⣿⣿⠊⣽⣟⣛⡋⠀⠀⠀⠀⠐⠀
⠿⠁⠀⠀⠀⠀⠀⢿⣿⣿⣿⣞⣟⣻⣿⣿⣿⣗⣿⣿⣖⣒⣂⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣶⢶⣶⣶⣾⡃⣠⣵⣖⢶⡖⣶⣶⠀⣴⡆⡶⠦⢼⠍⢬⣿⣿⣿⣿⣿⣄⣽⣿⢥⣬⠭⠭⠭⡭⠀⠀⠀⠀⢸⡀
⠀⠀⠀⠀⠀⠀⠀⢖⣶⣾⣾⣲⣲⣿⣖⣒⣷⣟⣾⣿⣿⣖⣿⣖⣖⣦⣄⠀⠀⠀⠀⠐⠀⠐⠢⢴⢶⣾⣶⣶⣶⣾⠂⢛⣛⢸⣼⣻⣿⡿⢀⡂⠿⠁⣽⢿⣷⢽⠿⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠷⠀⠀⠀⠀⢸⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠓⢶⣚⣒⣒⣛⣛⣟⣓⣒⣲⣶⣾⣶⣶⣷⣶⣶⣿⣶⣦⠀⠀⠀⠀⠀⣦⣾⣶⣶⣶⣿⣿⣿⡀⠀⢐⣃⣻⡿⢿⣿⢠⣥⡬⢬⡯⣿⣿⡼⠥⠭⣿⣿⣿⡿⠛⠿⣿⢿⣿⣇⣭⣭⠀⠀⠀⠀⢠⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⣒⢒⣒⣟⣿⣿⣗⣿⣿⣿⣿⣿⣿⣟⣓⠊⠀⠀⠀⠀⢂⣒⣲⣒⣒⣒⣒⣳⣻⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣯⢽⣿⣏⢿⡧⠙⠋⠁⠀⠀⠀⠈⠀⠀⣼⣾⣯⡏⢻⠆⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡂⣒⣛⣻⣿⣿⣿⣿⣟⣟⣚⣚⠂⠀⠀⠀⠀⠀⢀⡐⣒⣲⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⣿⡯⣿⣿⣿⣷⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣷⡿⠆⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡲⢦⣿⣶⣷⣾⣶⣾⡾⠁⠀⠀⠀⠀⠀⠀⢠⠴⢾⣦⣶⣶⣶⣿⣿⣿⣿⢿⢿⣿⣿⣿⣿⢀⣿⣿⣻⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⡻⠇⠄⡀⠀⠀⠀⢧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⠒⣚⢳⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠓⠛⠛⠛⠛⠛⢛⣯⣽⢽⣿⣿⣿⣿⠀⢿⣿⣺⣲⣟⣻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠛⠃⠀⠀⠔⠂⢀⠀⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢰⣿⣿⣿⣯⣿⣿⣿⠏⠀⢘⣿⡖⣖⣒⣓⣚⡦⣀⠀⠀⢀⣀⣔⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⣼⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⣿⣷⡾⠛⠋⠹⠋⠉⠘⢛⡛⠋⢋⣌⠀⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢀⣙⣿⣦⡙⢾⣿⡟⠀⠀⠀⠀⠘⢒⣒⣶⠶⠲⠀⠀⠀⠀⠀⠶⢆⠚⠀⠐⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣹⣿⣿⣶⣈⣇⣀⣀⣀⣀⣀⣀⣈⣁⣀⣀⣀⣤⣤⣄⣔⣀⣀⣀⣀⣀⣀⣀⣀⣀⣂⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣯⣿⣿⢽⣿⣿⣿⡿⡿⢿⣿⢿⣿⢽⠿⡿⡿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣯⢟⣽⢿⣿⣿⣯⣟⠿⡿⢿⡿⠿⡏⣹⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣛⣻⣿⣿⣻⣛⣿⣿⣿⣿⣿⣿
⣿⣿⡟⠑⢃⢚⣛⣚⣛⣛⠛⠛⠛⠀⠉⠉⠁⢠⣿⣿⣿⣿⣭⣿⣿⣿⣿⣯⢯⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠋⠀⠀⠀⠈⠀⠈⠉⢉⢺⠆⠰⢀⠂⠀⢀⠿⢽⢿⢿⣿⡿⢿⣿⣿⣿⣿⣿⠿⠿⢿⣿⢿⠿⠿⡿⡿⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣟⣿⣿⣿⣟⣿⣾⣿⣶⣿⣿⣾⣷⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣽⣿⣯⣯⣭⣿⣭⣿⣭⣯⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣶⣷⣾⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠽⠙⠀⡖⢠⠀⡀⡀⡠⡀⡠⡠⠀⠠⠆⠀⢐⢀⢀⠀⢀⠀⠠⠒⡄⡀⡀⡆⢀⠀⢀⠀⠀⠀⠀⠀⣈⠚⣉⣉⡝⣻⠟⠉⠹⣯⣿⢿⣿⣿⠙⢻⣿⣿⣿⣿⣿⣿⠇⣾⣿⣿⣿⣿⣿⣿⣿⠆⣩⢾⠰⠆⠀⠀⠀⠀⠀⠀
⣷⠶⠀⠓⠊⠀⠐⠁⠓⠂⠃⠒⠃⠀⠀⠏⠘⠘⠘⠐⠺⠀⠈⠒⠁⠃⠃⠃⠘⠀⠈⠒⠀⠀⠀⠐⢀⣒⣐⣗⣒⣺⠀⠀⠈⠉⠉⠩⣉⡅⠀⠉⠁⠍⠉⢹⠛⠟⣶⣒⣊⣿⣿⡿⢿⣿⣿⠋⣽⣿⣛⣏⠀⠀⠀⠀⠐⠀
⠿⠁⠁⠀⠀⠀⠀⢿⣿⣿⣿⣛⣟⣻⣿⣿⣿⣟⣿⣿⣖⣒⣂⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡴⡶⣶⢶⣶⣶⣾⠁⣨⣵⣖⠲⡖⣶⣶⠀⣴⡆⡶⠦⢼⠍⠭⣿⣿⣿⣿⣿⣭⣽⣿⣯⣬⠭⠭⠭⡭⠀⠀⠀⠀⢨⡀
⠀⠀⠀⠀⠀⠀⠀⢖⣶⣾⣾⣲⣲⣿⣖⣒⣷⣟⣾⣿⣿⣗⣿⣖⣖⣦⣄⠀⠀⠀⠀⠐⠀⢐⠲⣶⣶⣾⣶⣶⣶⣾⠅⢛⣛⢸⣬⣻⣿⡿⠀⡂⠿⠡⡿⣿⣷⠹⡿⢿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⢸⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠓⢶⣚⣒⣒⣛⣛⣟⣓⣒⣲⣶⣾⣶⣶⣶⣶⣶⣿⣶⣦⠀⠀⠀⠀⡰⢶⣾⣶⣶⣶⣿⣿⣿⠆⠐⢒⣃⣻⡿⢿⣿⠠⣥⡮⢬⡫⣿⣿⡆⠵⠤⣭⣽⢿⡿⠏⢿⠿⢿⣿⣯⣽⣭⠀⠀⠀⠀⢰⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⣒⢒⣒⣟⣿⣿⣷⣿⣿⣿⣿⣿⣿⣟⣓⠊⠀⠀⠀⠒⢀⠒⣲⣒⣒⣒⣒⣳⣻⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣯⣽⣿⣟⢿⣿⡌⠋⠁⠀⠀⠀⠈⠁⠀⣼⣾⣯⡋⢻⠂⠀⠀⠀⠐⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣂⣒⣛⣻⣿⣿⣿⣿⣟⣿⣛⣚⠂⠀⠀⠀⠀⠀⠐⡒⣒⣲⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⡿⣿⣿⣿⣷⡍⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣷⠿⠆⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⢦⣿⣶⣷⣾⣶⣾⡾⠁⠀⠀⠀⠀⠀⠀⢀⠖⣾⣦⣶⣶⣶⣿⣿⣿⣿⢿⢿⣿⣿⣿⣿⢨⣿⣿⣻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣮⣿⣿⡻⠟⠄⡀⠀⠀⠀⠧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⠒⣚⢷⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠛⠛⠛⠛⠛⢻⡯⣿⢿⣿⣿⣿⣿⠠⢿⣿⣺⣻⣟⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠛⠃⠀⠀⠔⠂⠀⠀⠠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣽⣿⣿⣿⠉⠀⢙⣿⣶⣖⣒⣓⣒⣦⣀⠀⠀⠀⣀⡴⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⣾⠿⣿⣿⣿⣿⣿⠏⠀⠀⠀⣻⣷⡾⠛⠛⠹⠏⠋⠘⢛⡛⡃⢋⣏⠀⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡙⣷⣆⠙⣿⡿⠉⠀⠀⠀⠀⠘⢓⣒⣶⠶⠢⡀⠀⠀⠐⠄⠶⠆⠚⠀⠐⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣻⣿⣿⣶⣈⣄⣀⣀⣀⣀⣀⣀⣈⣉⣀⣀⣠⣤⣤⣤⣔⣀⣂⣀⣀⣀⣀⣀⣀⣀⣂⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣯⣿⣿⢽⣿⣿⣿⡿⡿⢿⣿⢿⣿⢽⠿⡿⡿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣯⢟⣽⣿⣿⣿⣯⣟⠿⣿⢿⡿⢿⡏⣹⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣛⣻⣿⣿⣻⣛⣿⣿⣿⣿⣿⣿
⣿⣿⡟⠙⡁⢚⣛⣚⣛⣛⠛⠛⠛⠂⠉⠉⠁⢠⣿⣿⣿⣿⣯⣿⣿⣿⣿⣯⢯⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠋⠀⠀⠀⠈⠉⠉⠉⢉⢺⠆⠰⢀⠂⠀⢀⠿⢽⢿⢿⣿⡿⢿⣿⣿⣿⣿⣿⠿⠿⢿⣿⢿⠿⠿⡿⡿⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣟⣿⣿⣿⣟⣿⣾⣿⣶⣿⣿⣾⣷⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣽⣿⣯⣯⣭⣿⣭⣿⣯⣯⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣶⣷⣾⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠝⠙⠀⡄⢠⠀⡀⡀⡀⡀⡀⡀⠀⠀⠂⠀⢐⢀⢀⢀⢀⠀⠠⠀⡄⡀⡀⡄⢀⢀⢀⠀⠀⠀⠀⠀⢀⢛⣉⣉⡝⣫⠟⠙⠩⣭⣿⢿⣿⣿⠙⢛⣿⣿⣿⣿⣿⣿⠇⣾⣿⣿⣿⣿⣿⣿⣿⡄⣰⣆⠐⠀⠀⠀⠀⠀⠀⠀
⣶⠶⠀⠃⠊⠀⠐⠁⠋⠃⠃⠊⠃⠀⠀⠏⠘⠘⠘⠐⠸⠀⠈⠐⠁⠃⠃⠃⠘⠀⠈⠐⠀⠀⠀⠐⢀⣒⣒⣓⣲⣺⠀⠀⠈⠉⠉⠩⢉⡅⠀⠉⠁⠉⢩⢹⠟⠟⣶⣒⣍⣿⣿⡿⣿⣿⣿⠋⣽⣟⣛⡋⠐⠀⠀⠀⠐⠀
⠿⠁⠀⠀⠀⠀⠀⢿⣿⣿⣾⣒⣟⣻⣶⣿⣿⣗⣿⣿⣖⣒⣂⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡶⣶⢶⣶⣶⣾⡀⣠⣵⣖⠲⡒⣶⣶⠀⣴⡆⡶⠶⢼⠍⠭⣿⣿⡿⣿⣿⣬⣽⣿⣯⣬⠭⠭⠭⡥⠀⠀⠀⠀⢠⡀
⠀⠀⠀⠀⠀⠀⠀⢖⣶⣶⣾⣲⣲⣿⣖⣒⣷⣟⣾⣿⣿⣖⣿⣖⣖⣦⣄⠀⠀⠀⠀⠀⠀⠀⡦⣴⣶⣾⣶⣶⣶⣾⡁⢘⣛⢸⣼⣹⣿⡿⢀⡂⠿⠡⣽⣿⣷⠹⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠷⠀⠀⠀⠀⠸⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠓⢶⣚⣒⣒⣛⣛⣟⣓⣒⣲⣶⣾⣶⣾⣶⣶⣶⣿⣶⣦⠀⠀⠀⠀⣰⣶⣾⣶⣶⣶⣿⣿⣿⡂⠀⢒⣃⣻⡿⢿⣿⠠⣵⡦⢬⡿⣿⣿⡎⠷⢬⣉⣙⢿⡿⠏⢿⠿⢿⣿⣏⣭⣭⠀⠀⠀⠀⢐⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⣐⢒⣒⣛⣿⣿⣗⣿⣿⣿⣿⣿⣿⣟⣓⠊⠀⠀⠀⠀⢀⡒⣲⣒⣒⣒⣒⣳⣻⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣯⢽⣿⣯⠻⡧⠙⠊⠁⠀⠀⠀⠈⠀⠀⣼⣾⣯⡋⢻⠂⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡂⣒⣛⣻⣿⣿⣿⣿⣟⣟⣚⣚⠂⠀⠀⠀⠀⠀⠐⡒⣒⣲⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⡿⣿⣿⣿⣿⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣷⡻⠄⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⢦⣿⣶⣷⣾⣶⣾⡾⠁⠀⠀⠀⠀⠀⠀⢀⠴⣶⣦⣶⣶⣶⣿⣿⣿⡿⢿⢿⣿⣿⣿⣿⢨⣿⣿⣻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⡻⠇⠦⡀⠀⠀⠀⠧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⠒⣚⢳⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠓⠛⠛⠛⠛⠛⢻⡯⣭⢽⣿⣿⣿⣿⠀⣿⣿⣺⣻⣟⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠛⠃⠀⠀⠔⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣰⣿⣿⣿⣯⣿⣿⣿⠋⠀⢘⣿⣖⣖⣒⣓⣚⣦⣀⠀⠀⢀⣀⣴⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⣾⡿⣿⣿⣿⣿⣿⠏⠀⠀⠀⣿⣷⠾⠛⠛⠹⠏⠋⠘⢛⡛⡃⢋⣎⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣙⣿⣆⡑⢾⡿⠍⠀⠀⠀⠀⠘⢓⣒⣶⠶⠢⠄⠀⠀⠀⠠⠶⢂⠚⠀⠐⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣻⣿⣿⣶⣈⣇⣀⣀⣀⣀⣀⣀⣈⣉⣀⣀⣠⣤⣤⣤⣔⣂⣂⣀⣀⣀⣀⣀⣀⣀⣂⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣯⣿⣿⢽⣿⣿⣿⡿⡿⢿⢿⢿⣿⢽⠿⡿⡿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣯⢟⣽⢿⣿⣿⣯⣟⠿⣿⢿⡿⠿⡏⣹⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣛⣻⣿⣿⣻⣛⣿⣿⣿⣿⣿⣿
⣿⣿⠟⠑⢃⢚⣛⣚⣛⣛⠛⠛⠛⠀⠉⠉⠁⢠⣿⣿⣿⣿⣯⣿⣿⣿⣿⣯⢯⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠋⠀⠀⠀⠈⠀⠈⠉⢉⢺⠆⠠⢀⠂⠀⢀⠿⢽⢿⢿⣿⡿⢿⣿⣿⣿⣿⣿⠿⠿⢿⣿⢿⠿⠿⡿⡿⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣟⣿⣿⣿⣟⣿⣾⣿⣶⣿⣿⣾⣷⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣽⣿⣯⣯⣭⣿⣭⣿⣭⣯⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣶⣷⣾⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠽⠙⠀⡄⢀⠀⡀⠀⡉⡉⡉⡉⠉⠀⠂⠀⢀⢀⢀⢀⢀⠀⢠⠀⡄⡀⡀⡄⢀⢀⢀⢀⠀⠀⠀⠀⠀⠐⣉⣉⡝⣫⠟⠛⢹⣭⣿⢿⣿⣿⠙⢻⣿⣿⣿⣿⣿⣿⠇⣸⣿⣿⣿⣿⣿⣿⣿⡆⣵⡦⡐⠀⠀⠀⠀⠀⠀⠀
⣷⠶⠀⠃⠈⠀⠐⠁⠋⠁⠃⠊⠂⠀⠀⠛⠘⠘⠘⠐⡸⠀⠘⠀⠃⠃⠃⠃⠘⠀⠘⠉⠀⠀⠀⠐⣀⣒⣐⣓⣒⣺⠀⠀⡈⠉⠉⠩⢉⡅⠀⠉⠁⡉⢩⢹⠟⣿⣰⣿⣿⣚⣿⣿⡿⢿⣿⡇⣿⣟⣛⠛⠀⠀⠀⠀⠀⠀
⠿⠁⠀⠀⠀⠀⠀⢶⣶⣶⣶⣒⣖⣲⣶⣶⣶⣖⣶⣶⣖⣒⣂⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡀⢰⡶⣶⢶⣶⣶⣾⡃⣨⣵⣖⠲⡖⣶⣶⠀⣴⡆⠶⠦⢼⠍⠭⣿⣿⣿⣿⣿⣽⣯⣽⣽⡭⠭⠭⠭⡭⠀⠀⠀⠀⢨⡀
⠀⠀⠀⠀⠀⠀⠀⢖⣶⣾⣾⣲⣲⣿⣖⣒⣷⣟⣾⣿⣿⣗⣿⣖⣖⣦⣄⠀⠀⠀⠀⠀⠀⠐⠢⣶⣶⣾⣶⣶⣶⣾⠁⢙⣛⢸⣼⣻⣿⡿⢀⡂⠿⠁⡽⣿⡷⠹⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠷⠀⠀⠀⠀⢸⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠑⢶⣚⣒⣒⣛⣛⣟⣓⣒⣲⣶⣾⣶⣶⣶⣶⣶⣿⣶⣦⠀⠀⠀⠀⢰⣦⣾⣶⣶⣶⣿⣿⣿⡂⠀⢒⣃⣻⡿⢿⣿⢠⣵⡮⢬⣿⣿⣿⡈⠽⢿⠷⢭⣽⡿⠟⠿⡟⢿⣿⣏⣭⣭⡄⠀⠀⠀⠠⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⣒⢒⣒⣛⣿⣿⣗⣿⣿⣿⣿⣿⣿⣟⣓⠊⠀⠀⠀⡀⢀⣒⣲⣒⣒⣒⣒⣳⣻⣿⣿⣿⣿⣿⣿⣿⣿⢈⣿⣯⢽⣿⡽⢿⣿⡄⠉⠁⠀⠀⠀⠀⠁⠁⣼⣾⣿⡟⢻⠄⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣂⣒⣚⣻⣿⣿⣿⣿⣟⣿⣟⣚⠂⠀⠀⠀⠀⠀⠀⡐⣒⣲⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⣿⡿⣿⣿⣿⣦⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⣿⣿⣶⠻⠆⠀⠀⠀⠀⡗
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⢦⣿⣶⣷⣾⣶⣾⡾⠁⠀⠀⠀⠀⠀⠀⢀⠴⣾⣦⣶⣶⣶⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⢸⣿⡿⣻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣭⣿⣿⡻⠇⠆⡀⠀⠀⠀⢧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⠒⣚⢷⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠃⠛⠛⠛⠛⠛⢻⡯⣭⢭⣿⣿⣿⣿⠰⣿⣿⣺⣒⢟⣻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠛⠃⠀⠀⠐⠂⠄⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣰⣿⣿⣿⣽⣿⣿⣿⠉⠀⢻⣿⡖⣒⣒⣓⢘⡦⣀⠀⠀⠀⣀⣴⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⣾⢿⣿⣿⣿⣿⣿⠟⠀⠀⠀⣿⣷⡞⠋⠋⠹⠈⠁⠘⢛⡛⠃⢋⣏⠀⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡻⣷⣀⡑⢿⣿⡛⠀⠀⠀⠀⠙⣓⣒⣲⠶⠢⠀⠀⠀⠀⠀⠖⠢⡚⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣻⣿⣿⣶⣈⣇⣀⣀⣀⣀⣀⣀⣈⣉⣀⣀⣠⣤⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣂⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣯⣿⣿⢽⣿⣿⣿⡿⡿⢿⣿⢿⣿⢽⠿⡿⡿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣯⢟⣽⢿⣿⣿⣯⣟⠿⣿⢿⡿⢿⡏⣹⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣛⣻⣿⣿⣻⣛⣿⣿⣿⣿⣿⣿
⣿⣿⡟⠙⠁⣚⣛⣚⣛⣛⠛⠛⠛⠂⠉⠉⠁⢠⣿⣿⣿⣿⣯⣿⣿⣿⣿⣯⢯⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠋⠀⠀⠀⠈⠉⠉⠉⢉⢺⠆⠠⢀⠂⠀⢀⠿⢽⢿⢿⣿⡿⢿⣿⣿⣿⣿⣿⠿⠿⢿⣿⢿⠿⠿⡿⡿⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣟⣿⣿⣿⣟⣿⣾⣿⣶⣿⣿⣾⣷⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣽⣿⣯⣯⣭⣿⣭⣿⣯⣯⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣶⣷⣾⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠽⠙⠀⡄⢄⠀⡀⠈⣉⡉⣉⣉⡉⢉⣉⠀⢀⢀⢀⢀⣀⠀⢀⠠⡀⡀⡀⡄⢀⣀⠀⣀⠀⠀⠀⠀⠈⠛⣉⣉⡝⣻⠛⠙⢹⣽⣿⣻⣿⣿⠑⢻⣿⣿⣿⣿⣿⣿⡏⢰⢿⣿⣿⣿⣿⣿⣿⡆⢻⢎⡰⠄⠀⠀⠀⠀⠀⠀
⣷⠶⠀⠃⠘⠀⠐⠃⠫⠁⠃⠨⠂⠀⠀⡚⠘⠘⠘⢀⡸⠀⠐⠀⠃⠃⠃⠃⠘⠀⠘⠉⠀⠀⠀⠐⡀⣒⣐⣗⣒⣺⠀⠀⡈⠉⠉⠩⢉⡅⠀⠉⠁⢩⢩⢹⠛⢿⢳⣿⣿⣳⣿⣿⣿⢿⣿⡗⢻⣟⣻⡛⠀⠀⠀⠀⠐⠀
⠿⠁⠀⠀⠀⠀⠀⢶⣶⣶⣶⣒⣖⣲⣶⣶⣶⣖⣶⣶⣖⣒⣂⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡀⣰⡶⣶⣶⣶⣶⣾⠂⣠⣵⣖⠲⡒⣶⣶⠀⣴⡆⠶⠦⢼⠍⠭⣭⣿⣿⣿⣿⣿⣿⣽⣽⡥⠭⡭⠭⡥⠀⠀⠀⠀⢨⡀
⠀⠀⠀⠀⠀⠀⠀⢖⣶⣾⣾⣲⣲⣿⣖⣒⣷⣟⣾⣿⣿⣗⣿⣖⣖⣦⣄⠀⠀⠀⠀⠀⠀⢐⠢⣶⣶⣾⣶⣶⣶⣾⡄⢘⣛⢸⣾⣻⣿⡟⢀⡂⠿⠁⡽⣿⡷⠳⢿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠸⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠑⢶⣚⣒⣒⣛⣛⣟⣓⣒⣲⣶⣾⣶⣶⣷⣶⣶⣿⣶⣦⠀⠀⠀⠀⠐⣶⣾⣶⣶⣶⣿⣿⣿⡀⠀⢒⣃⣻⡿⢿⣿⢠⣵⡦⢼⢿⣿⣿⡄⠹⢿⡿⢾⣭⡿⠿⠿⣟⢿⣿⣯⣭⣭⠈⠀⠀⠀⠸⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⣒⢒⣒⣟⣿⣿⣗⣿⣿⣿⣿⣿⣿⣟⣓⠊⠀⠀⠀⡀⢀⣒⣲⣒⣒⣒⣒⣳⣻⣿⣿⣿⣿⣿⣿⣿⣿⢈⣿⣯⣽⣿⡝⢿⣿⡄⠈⠉⠀⠀⠀⠀⠁⠀⣼⣾⣯⡏⢿⠀⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣂⣒⣛⣻⣿⣿⣿⣿⣟⣿⣟⣚⠂⠀⠀⠀⢀⠀⠀⡐⣒⣲⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣿⡯⣿⣿⣿⣧⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣷⡿⠆⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⢦⣿⣶⣷⣾⣶⣾⡾⠁⠀⠀⠀⠀⠀⠀⠀⠰⣾⣦⣶⣶⣶⣿⣿⣿⣿⢿⢿⣿⣿⣿⣿⢸⣿⡿⣻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⡻⠇⠆⡀⠀⠀⠀⢯
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⠒⣚⢷⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠃⠛⠛⠛⠛⠛⢻⡯⣭⢽⣿⣿⣿⣿⠘⣿⣿⣺⣒⣟⣻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠛⠃⠀⠀⠖⠂⠀⠀⠐
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣽⣿⣿⣿⠉⠀⢻⣿⡖⣖⣒⣓⣚⡦⣀⠀⠀⠀⣀⣴⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⣿⢿⣿⣟⣿⣿⣿⠏⠀⠀⠀⣿⣷⡾⠋⠋⠹⠉⠋⠘⠛⠟⠓⢋⣎⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡹⣷⣂⠛⣿⣿⠋⠀⠀⠀⠀⠘⣓⣒⣶⠶⠢⠀⠀⠀⠀⠀⠲⠖⠘⠀⠐⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣻⣿⣿⣶⣘⣆⣀⣀⣀⣀⣀⣀⣈⣉⣀⣀⣠⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣂⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣯⣿⣿⢽⣿⣿⣿⡿⡿⢿⣿⢿⣿⢽⠿⡿⡿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣯⢟⣽⢿⣿⣿⣯⣟⠿⣿⢿⡿⠿⡏⣹⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣛⣻⣿⣿⣻⣛⣿⣿⣿⣿⣿⣿
⣿⣿⡟⠑⢃⢚⣛⣚⣛⣛⠛⠛⠛⠂⠉⠉⠁⢠⣿⣿⣿⣿⣯⣿⣿⣿⣿⣯⢯⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠋⠀⠀⠀⠉⠁⠈⠙⢉⢺⠆⠠⢀⠂⠀⢀⠿⢽⢿⢿⣿⡿⢿⣿⣿⣿⣿⣿⠿⠿⢿⣿⢿⠿⠿⡿⡿⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣟⣿⣿⣿⣟⣿⣾⣿⣶⣿⣿⣾⣷⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣽⣿⣯⣯⣭⣿⣭⣿⣯⣭⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣶⣷⣾⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠽⠙⠁⡤⢄⠀⡀⠈⢉⠉⢉⢉⡉⢉⣍⠀⢠⠀⡀⠀⣀⠀⢀⠤⡀⢀⠀⡄⢀⣀⠀⣀⠀⠀⠀⠀⠀⠙⣉⣉⡝⣻⠟⠛⠹⣭⣿⢿⣿⣿⠙⠻⣿⣿⣿⣿⣿⣿⡏⣰⣿⣿⣿⣿⣿⣿⣿⡆⣱⡆⠰⠂⠀⠀⠀⠀⠀⠀
⣷⡶⠀⠧⠜⠀⠠⠃⠧⠅⠇⠥⠆⠀⠀⡒⠸⠸⠸⢠⢼⠀⠐⠤⠃⠇⠇⠇⠸⠀⠘⠤⠀⠀⠀⠐⣀⣒⣐⣗⣂⣺⠁⠀⠈⠉⠉⠩⢉⡅⠀⠉⠁⠍⢩⢹⠛⢿⣱⣗⣓⣾⣿⣿⠿⣿⣿⡗⣻⣟⣛⠛⠀⠀⠀⠀⠐⠀
⠟⠁⠀⠀⠀⠀⠀⢶⣶⣶⣶⣒⣖⣲⣶⣶⣶⣖⣶⣶⣖⣒⣂⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⡰⡲⣶⢶⣶⣶⣾⠀⣠⣵⣖⢲⡖⣶⣶⠀⣴⡆⡶⠤⢼⠍⠭⣿⣿⣿⣿⣿⣽⣭⣿⣿⣤⠭⠭⠭⡥⠀⠀⠀⠀⢸⠀
⠀⠀⠀⠀⠀⠀⠀⢖⣶⣾⣾⣲⣲⣿⣖⣒⣷⣟⣾⣿⣿⣗⣿⣖⣖⣦⣄⠀⠀⠀⠀⠀⠀⠔⠒⣶⣶⣾⣶⣶⣶⣾⠃⢘⣛⢸⣬⣻⣿⡿⢀⡂⠿⠁⣽⣿⣷⠻⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠯⠀⠀⠀⠀⠸⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠑⢶⣚⣒⣒⣛⣛⣟⣓⣒⣲⣶⣾⣶⣶⣷⣶⣶⣿⣶⣦⠀⠀⠀⠀⢰⣶⣾⣶⣶⣶⣿⣿⣿⡂⠀⢒⣃⣻⡿⢿⣿⢠⣥⡬⢬⡿⣿⣿⡌⠽⢽⠾⢭⣽⡿⠟⠿⡿⢿⣿⣧⣭⣭⡄⠀⠀⠀⢘⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⣒⢒⣒⣟⣿⣿⣗⣿⣿⣿⣿⣿⣿⣟⣓⠊⠀⠀⠀⠀⢀⢒⣲⣒⣒⣒⣒⣻⣻⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣯⣽⣿⣝⢿⣿⡄⠉⠁⠀⠀⠀⠈⠁⠀⣸⣾⣯⡏⢻⠆⠀⠀⠀⠐⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣂⣒⣚⣻⣿⣿⣿⣿⣟⣿⣟⣚⠂⠀⠀⠀⠀⠀⠀⡒⣒⣲⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⣿⡿⣿⣿⣿⣷⡍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣷⠿⠄⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⢦⣿⣶⣷⣾⣶⣾⡾⠁⠀⠀⠀⠀⠀⡀⢀⠴⣾⣦⣶⣶⣶⣿⣿⣿⣿⢿⢿⣿⣿⣿⣿⢸⣿⣿⣻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⡻⠗⠆⡀⠀⠀⠀⢯
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⠒⣚⢷⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠛⠛⠛⠛⠛⢛⡏⣽⢽⣿⣿⣿⣿⠀⢿⣿⣺⣒⣟⣻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠛⠃⠀⠀⠒⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣰⣿⣿⣿⣯⣿⣿⣿⠋⠀⢛⣿⡖⣖⣒⣓⣚⣦⣀⠀⠀⠀⣀⣴⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⣼⢿⣿⣿⣿⣿⣿⡟⠀⠀⠀⣿⣿⡞⠛⠋⠹⠋⠉⠘⢛⡛⠃⢋⣍⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡙⣿⣂⡙⢿⣿⡟⠀⠀⠀⠀⠘⢓⣓⣶⠶⠢⠀⠀⠀⠀⠀⠶⠆⠘⠀⠐⠄⢀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣻⣿⣿⣶⣈⣇⣀⣀⣀⣀⣀⣀⣈⣉⣀⣀⣠⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣂⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣯⣿⣿⢽⣿⣿⣿⡿⡿⢿⣿⢿⣿⢽⠿⡿⡿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣯⢟⣽⢿⣿⣿⣯⣟⠿⣿⢿⡿⢿⡏⣹⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣛⣻⣿⣿⣻⣛⣿⣿⣿⣿⣿⣿
⣿⣿⡟⠑⡁⣚⣛⣚⣛⣛⠛⠛⠛⠂⠉⠉⠁⢠⣿⣿⣿⣿⣯⣿⣿⣿⣿⣯⢯⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠋⠀⠀⠀⠈⠈⠊⠉⢉⢲⠆⠠⢀⠂⠀⢀⠿⢽⢿⢿⣿⡿⢿⣿⣿⣿⣿⣿⠿⠿⢿⣿⢿⠿⠿⡿⡿⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣟⣿⣿⣿⣟⣿⣾⣿⣶⣿⣿⣾⣷⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣽⣿⣯⣯⣭⣿⣭⣿⣯⣯⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣶⣷⣾⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠽⠙⠀⡀⢀⠀⠀⠈⠉⠉⠉⠉⠉⢉⣍⠀⠠⠀⠀⠀⠀⠀⢀⠀⡀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢛⣉⣉⡝⣫⠛⠙⠩⣽⣿⢿⣿⣿⠙⢻⣿⣿⣿⣿⣿⣿⢃⣿⣿⣿⣿⣿⣿⣿⣿⢀⣣⠆⡰⠆⠀⠀⠀⠀⠀⠀
⣷⡶⠀⠇⠜⠀⠡⠃⠧⠅⠇⠥⠆⠀⠀⡒⠸⠸⠸⠨⢼⠀⠐⠤⠃⠇⠇⠇⠸⠀⠘⠤⠀⠀⠀⠐⢀⣒⣒⣗⣒⣺⠀⠀⠈⠉⠉⠩⢉⡅⠀⠈⠁⠍⢩⢹⠋⢟⡇⣮⣹⣿⣿⣿⣿⣿⡿⠚⣽⣟⣻⠛⠀⠀⠀⠀⠐⠀
⠿⠁⠀⠀⠀⠀⠀⢶⣶⣶⣶⣒⣖⣲⣶⣶⣶⣖⣶⣶⣖⣒⣂⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣶⣶⢶⣶⣶⣾⠀⣠⣵⣖⠲⡒⣶⣶⠀⣴⡆⠶⠦⢼⠍⢭⣿⡿⣿⣿⣿⣽⣿⣿⢥⡬⠭⠭⠭⡭⠀⠀⠀⠀⢸⡀
⠀⠀⠀⠀⠀⠀⠀⢖⣶⣶⣾⣲⣲⣿⣖⣒⣷⣟⣾⣿⣿⣗⣿⣖⣖⣦⣄⠀⠀⠀⠀⠀⠀⢒⠲⣶⣶⣾⣶⣶⣶⣾⡅⢙⣛⢸⣼⣻⣿⡿⠀⡂⠿⠡⣽⢿⡷⢽⢿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠿⠀⠀⠀⠀⠰⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠑⢶⣚⣒⣒⣛⣛⣟⣓⣒⣲⣶⣾⣶⣶⣷⣶⣶⣿⣶⣦⠀⠀⠀⠀⠐⣴⣾⣶⣶⣶⣿⣿⣿⠂⠀⠒⣃⣻⣿⢿⣿⠠⣥⡬⢬⡿⡿⣿⡼⡵⠯⣽⣿⣿⡿⠻⠿⢿⢿⣿⣇⣭⣭⠄⠀⠀⠀⢈⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⣒⢒⣒⣛⣿⣿⣗⣿⣿⣿⣿⣿⣿⣟⣓⠊⠀⠀⠀⠀⠒⣒⣲⣒⣒⣒⣒⣳⣻⣿⣿⣿⣿⣿⣿⣿⣿⢨⣿⣯⢽⣿⣝⢿⣧⠙⠋⠁⠀⠀⠀⠈⠁⠀⣾⣾⣯⡏⢻⠆⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣂⣒⣚⣻⣿⣿⣿⣿⣟⣿⣛⣚⠂⠀⠀⠀⠀⠀⠀⡐⣒⣲⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣿⡯⣿⣿⣿⣧⡍⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⡷⠻⠀⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⢦⣿⣶⣷⣾⣶⣾⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⣦⣶⣶⣶⣿⣿⣿⣿⢿⢿⣿⣿⣿⣿⢸⣿⣿⣻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣌⣿⣿⡻⠇⠄⡀⠀⠀⠀⠧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⠒⣚⢷⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠛⠛⠛⠛⠛⢛⡯⣽⢽⣿⣿⣿⣿⠀⣿⣿⣺⣺⣟⣻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠛⠃⠀⠀⠔⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣽⣯⣿⣿⣿⠋⠀⢘⣿⡖⣗⣒⣓⣒⣦⣀⠀⠀⢀⢀⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⠀⣾⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⣿⣷⡾⠛⠋⠹⠏⠉⠘⢛⡛⠚⣋⣆⠀⡚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢀⣹⣿⣂⡙⢾⣿⠍⠀⠀⠀⠀⠘⢒⣒⣲⠖⠢⠀⡀⠀⠀⠀⠾⢔⠎⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣻⣿⣿⣶⣈⣇⣀⣀⣀⢀⣀⣀⣈⣉⣀⣀⣠⣤⣤⣄⣔⣀⣂⣀⣀⣀⣀⣀⣀⣀⣂⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣯⣿⣿⢽⣿⣿⣿⡿⡿⢿⣿⢿⣿⢽⠿⡿⡿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣯⢟⣽⢿⣿⣿⣯⣟⠿⣿⢿⡿⠿⡏⣹⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣛⣻⣿⣿⣻⣛⣿⣿⣿⣿⣿⣿
⣿⣿⡟⠑⢃⣚⣛⣚⣛⣛⠛⠛⠛⠂⠉⠉⠁⢠⣿⣿⣿⣿⣯⣿⣿⣿⣿⣯⢯⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠋⠀⠀⠀⠈⠁⠈⠙⢉⢺⠆⠠⢀⠂⠀⢀⠿⢽⢿⢿⣿⡿⢿⣿⣿⣿⣿⣿⠿⠿⢿⣿⢿⠿⠿⡿⡿⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣟⣿⣿⣿⣟⣿⣾⣿⣶⣿⣿⣾⣷⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣽⣿⣯⣯⣭⣿⣭⣿⣯⣭⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣶⣷⣾⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠽⠹⠀⡀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠍⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⣉⣉⡝⣻⠟⠋⢩⣭⣿⢿⣿⣿⠙⢛⣿⣿⣿⣿⣿⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⡆⣰⠮⠠⠄⠀⠀⠀⠀⠀⠀
⣷⡶⠀⠇⠘⠀⠡⠂⠗⠇⠇⠕⠆⠀⠀⡶⠸⠸⠸⠨⢸⠀⠸⠀⠃⠇⠇⠇⠸⠈⠸⠚⠀⠀⠀⢐⣀⣒⣐⣗⣒⣺⠀⠀⠈⠉⠉⠩⢉⡅⠀⠉⠁⠉⣩⢹⠛⢿⣰⣿⣯⣻⣿⣿⣿⣿⣿⠟⣻⣿⣛⡛⠀⠀⠀⠀⠐⠀
⠿⠁⠀⠀⠀⠀⠀⢤⣦⣤⣤⣒⣔⣲⣶⣦⣶⣖⣶⣶⣄⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠴⡶⣶⢶⣶⣶⣾⠀⣠⣵⣖⠲⡖⣶⣶⠀⣴⡆⠶⠦⢼⠍⠭⣿⣿⣿⣿⣿⣭⣿⣿⣽⣬⠭⠭⠭⡥⠀⠀⠀⠀⢸⡀
⠀⠀⠀⠀⠀⠀⠀⢖⡶⣶⣾⣒⣲⣿⣖⣒⣷⣿⣾⣿⣿⣗⣿⣖⣒⣦⣄⠀⠀⠀⠀⠀⠀⠐⠢⣴⣶⣾⣶⣶⣶⣾⠀⢙⣛⢸⣼⣻⣿⡟⢀⡂⠿⠁⣽⣿⣷⠳⡿⢿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⢸⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠓⢶⣚⢒⣒⣛⣛⣟⣓⣒⣲⣶⣾⣶⣶⣶⣶⣶⣿⣶⣦⠀⠀⠀⠀⠠⣤⣾⣶⣶⣶⣿⣿⣿⡂⠀⠒⣃⣻⡿⢿⣿⠠⣥⡬⢬⡿⣿⣿⡄⠷⠤⣭⣙⠻⡿⠟⢿⠿⢿⣿⣯⣭⣭⠀⠀⠀⠀⢘⡧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⣒⢒⣒⣟⣿⣿⣗⣿⣿⣿⣿⣿⣿⣟⣓⠊⠀⠀⠀⠀⢐⣒⣲⣒⣒⣒⣒⣳⣻⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣯⢽⣿⣝⢿⣿⡌⠋⠀⠀⠀⠀⠈⠁⠁⣼⣾⣯⡋⢿⠆⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢂⣒⣛⣻⣿⣿⣿⣿⣟⣟⣚⣚⠂⠀⠀⠀⠀⠀⢀⡐⣒⣲⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⣿⡿⣿⣿⣿⣷⡍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣷⠿⠆⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢦⣿⣶⣷⣾⣶⣾⡾⠁⠀⠀⠀⠀⠀⠀⢀⡶⢾⣦⣶⣶⣶⣿⣿⣿⣿⢿⢿⣿⣿⣿⣿⢨⣿⣿⣻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣣⣿⣿⡻⠗⠂⡀⠀⠀⠀⠧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⣚⢳⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠓⠛⠛⠛⠛⠛⢛⡯⣭⢽⣿⣿⣿⣿⠀⢿⣿⣺⣛⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠛⠃⠀⠀⠐⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣰⣿⣿⣽⣯⣿⣿⣿⠋⠀⢘⣿⣖⣖⣒⣓⣒⡦⣀⠀⠀⠀⣀⣴⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⣼⢿⣿⣿⣿⣿⣿⡟⠀⠀⠀⣿⣿⡞⠛⠋⠹⠏⠉⠘⢛⡛⠃⢋⣎⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢀⡙⣿⣆⡙⢾⡿⡏⠀⠀⠀⠀⠘⢓⣒⣶⠶⠢⠀⠀⠀⠀⠀⠶⠆⡚⠀⠐⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣻⣿⣿⣶⣈⣇⣀⣀⣀⢀⣀⣀⣈⣉⣀⣀⣠⣤⣤⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣂⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣯⣿⣿⢽⣿⣿⣿⡿⡿⢿⢿⢿⣿⢽⠿⡿⡿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢟⣽⢿⣿⣿⣯⣟⠿⣿⢿⡿⢿⡏⣹⣿⣽⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣛⣻⣿⣿⣻⣛⣿⣿⣿⣿⣿⣿
⣿⣿⡟⠑⢃⢚⣛⣚⣛⣛⠛⠛⠛⠂⠉⠉⠀⢠⣿⣿⣿⣿⣭⣿⣿⣿⣿⣯⢯⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠋⠀⠀⠀⠉⠁⠉⠉⢉⢻⠆⠰⢀⠂⠀⢀⠿⢽⢿⢿⣿⡿⢿⣿⣿⣿⣿⣿⠿⠿⢿⣿⢿⠿⠿⡿⡿⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣟⣿⣿⣿⣖⣿⣾⣿⣶⣿⣿⣾⣷⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣿⣿⣯⣭⣭⣿⣭⣿⣯⣯⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣶⣷⣾⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠽⠙⠂⡀⡀⠀⠀⠘⠛⠛⠛⠛⠛⠛⠛⠒⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣋⣉⡝⣻⠛⠉⢩⣿⣿⢿⣿⣿⠑⢻⣿⣿⣿⣿⣿⣿⡟⠀⣾⣿⣿⣿⣿⣿⣿⣷⢰⣦⠀⠆⠀⠀⠀⠀⠀⠀
⣶⠶⠀⠇⠘⠀⠡⠂⠟⠃⠏⠙⠅⠈⠁⠶⠸⠸⠸⠨⢸⠀⠸⠀⠇⠇⠇⠇⠸⠉⠰⠛⠀⠀⠀⠐⣂⣒⣐⣗⣂⣺⠀⠀⠈⠉⠉⠩⢉⡅⠀⠈⠁⠍⣩⢹⠛⢿⡇⣼⣟⣚⣯⣿⣿⡿⣿⣿⢸⣟⣛⡛⠀⠀⠀⠀⠀⠀
⠿⠁⠀⠀⠀⠀⠀⢤⣤⣤⣤⣀⣄⣠⣤⣥⣤⣄⣤⣬⣅⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⠶⣶⢶⣶⣶⣾⡀⣢⣵⣖⠶⡖⣶⣶⠀⣴⡆⡶⠤⢼⠍⢭⠭⣿⣿⣿⣿⣽⣿⣏⣽⣯⠬⠭⠭⡭⠀⠀⠀⠀⢸⡀
⠀⠀⠀⠀⠀⠀⠀⢖⡶⣶⣾⣒⣲⣿⣖⣒⣷⣿⣾⣿⣿⣗⣿⣖⣒⣦⣄⠀⠀⠀⠀⠀⠀⠀⠢⣶⣶⣾⣶⣶⣶⣾⠁⢙⣛⢸⣦⣻⣿⡟⢀⡂⠿⠁⣿⣿⣷⠋⢿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠸⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠓⢶⣚⢒⣒⣛⣛⣟⣓⣒⣲⣶⣾⣶⣾⣶⣶⣶⣿⣶⣦⠀⠀⠀⠀⣀⣴⣾⣶⣶⣶⣿⣿⣿⠂⠐⢒⣃⣻⡿⢿⣿⢠⣷⡾⢼⡿⣿⣿⣦⠡⠽⡷⢮⣭⣽⠿⢿⢿⢛⣿⣿⣽⣭⠀⠀⠀⠀⢘⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⣒⢒⣒⣟⣿⣿⣷⣿⣿⣿⣿⣿⣿⣟⣓⠊⠀⠀⠀⠐⢂⣐⣲⣒⣒⣒⣒⣳⣻⣿⣿⣿⣿⣿⣿⣿⣿⢨⣿⣯⢽⣿⣿⠿⣿⡧⠈⠁⠀⠀⠀⠈⠀⠁⡌⣾⣯⡟⢻⠀⠀⠀⠀⠀⡅
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢂⣒⣛⣻⣿⣿⣿⣿⣟⣟⣚⣚⠂⠀⠀⠀⢀⠀⢀⡀⣒⣲⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⢀⣿⡿⣿⣿⣿⣷⡌⠀⠀⠀⠀⠀⠀⠀⠀⠈⠾⢿⣿⣷⡿⠀⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⢦⣿⣶⣷⣾⣶⣾⡾⠁⠀⠀⠀⠀⠀⠀⠀⠴⢾⣦⣶⣶⣶⣿⣿⣿⡿⣿⢿⣿⣿⣿⣿⢸⣿⡿⣻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⡻⠿⠆⡀⠀⠀⠀⠦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⠒⣚⢳⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠓⠛⠛⠛⠛⠛⣻⡯⣿⢿⣿⣿⣿⣿⠘⢿⣿⣺⣛⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠛⠃⠀⠀⠔⠂⠀⠀⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣴⣿⣿⣿⣽⣿⣿⣿⠉⠀⢻⣿⡖⣖⣚⣓⣒⣦⣀⠀⠀⠀⣀⢴⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣿⢿⣿⣿⣿⣿⣿⠏⠀⠀⠀⣿⣷⠾⠛⠛⠹⠟⠋⠐⢋⠛⡛⠈⣍⠃⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠻⣷⣈⠓⣿⣻⠋⠀⠀⠀⠀⠘⢓⣒⣶⠖⠒⡀⠀⠀⠀⠀⠶⠖⢜⠀⠀⠀⠈⡀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣻⣿⣿⣶⣘⣄⣀⣀⣀⢀⣀⣀⣈⣉⣁⣀⣀⣤⣤⣤⣔⣀⣀⣀⣀⣀⣀⣀⣀⣀⣂⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣯⣿⣿⢽⣿⣿⣿⡿⡿⢿⣿⢿⣿⢽⠿⡿⡿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢟⣽⢿⣿⣿⣯⣟⠿⣿⢿⡿⢿⡏⣹⣿⣽⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣛⣻⣿⣿⣻⣛⣿⣿⣿⣿⣿⣿
⣿⣿⡟⠑⢃⢚⣛⣚⣛⣛⠛⠛⠛⠂⠉⠉⠀⢠⣿⣿⣿⣿⣭⣿⣿⣿⣿⣯⢯⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠋⠀⠀⠀⠉⠁⠉⠉⢉⢻⠆⠰⢀⠂⠀⢀⠿⢽⢿⢿⣿⡿⢿⣿⣿⣿⣿⣿⠿⠿⢿⣿⢿⠿⠿⡿⡿⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣟⣿⣿⣿⣖⣿⣾⣿⣶⣿⣿⣾⣷⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣿⣿⣯⣭⣭⣿⣭⣿⣯⣯⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣶⣷⣾⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠽⠙⠂⣀⡀⠀⠀⠘⠛⠛⠛⠛⠛⠛⡛⠒⢀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣋⣉⡝⣻⠛⠉⢩⣭⣿⢿⣿⣿⠙⢻⣿⣿⣿⣿⣿⣿⣿⠁⣾⣿⣿⣿⣿⣿⣿⣷⠹⠮⠰⠂⠀⠀⠀⠀⠀⠀
⣶⠶⠀⣇⡸⠀⢁⠆⢎⡂⡏⣊⡅⠈⠉⠤⢹⢸⢱⢀⣹⠀⠨⣀⠇⡏⡆⡇⢸⠉⠰⣉⠀⠀⠀⠀⣂⣒⢒⣗⣒⣺⠀⠀⠈⠉⠉⠩⢩⡅⠀⠈⠡⢍⠉⠹⠛⢿⣏⣾⣛⣲⣿⣿⣿⢿⣿⣿⢸⣟⣛⠓⠀⠀⠀⠀⠀⠀
⠿⠁⠀⠀⠀⠀⠀⢤⣤⣤⣤⣀⣄⣠⣤⣥⣤⣄⣤⣬⣅⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⡶⣶⢶⣶⣶⣾⡀⣨⣵⣖⢶⡒⣶⣶⠀⣴⡆⡶⠶⢼⠍⢬⢭⣿⣿⣿⣿⣿⣭⣽⣽⣧⠬⠭⠭⡭⠀⠀⠀⠀⢸⡀
⠀⠀⠀⠀⠀⠀⠀⢖⡶⣶⣾⣲⣲⣿⣖⣒⣷⣿⣾⣿⣿⣗⣿⣖⣒⣦⣄⠀⠀⠀⠀⠀⠀⠀⠶⣶⣶⣾⣶⣶⣶⣾⡇⢚⣛⢸⣶⣻⣿⡿⠀⡂⠿⠡⣽⣿⣷⠟⢿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠂⠀⠀⠀⢘⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠓⢶⣚⢒⣓⣛⣛⣟⣓⣒⣲⣶⣾⣶⣶⣷⣶⣶⣿⣶⣦⠀⠀⠀⠠⣴⣶⣾⣶⣶⣶⣿⣿⣿⡂⠐⢒⣓⣻⡿⢿⣿⢰⣷⡾⢼⡽⢿⣿⣧⠹⠿⡿⢾⣭⣿⠿⢻⢿⢻⣿⣿⣽⣭⠀⠀⠀⠀⠐⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⣒⢒⣚⣟⣿⣿⣷⣿⣿⣿⣿⣿⣿⣟⣓⠊⠀⠀⠀⠀⢐⡒⣲⣒⣒⣒⣒⣳⣻⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣯⣽⣿⣿⣻⣿⡧⠈⠁⠀⠀⠀⠈⠀⠀⢬⣾⣯⡏⢻⠀⠀⠀⠀⠀⣇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢂⣒⣛⣻⣿⣿⣿⣿⣗⣿⣚⣚⠂⠀⠀⠀⠀⠀⢀⡒⣒⣲⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⡿⣿⣿⣿⣿⡎⠀⠀⠀⠀⠀⠀⠀⠀⠈⠾⣿⣿⣷⡿⠆⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⢦⣿⣶⣷⣾⣶⣾⡾⠁⠀⠀⠀⠀⠀⠀⢀⡶⣾⣦⣶⣶⣶⣿⣿⣿⡿⢿⢿⣿⣿⣿⣿⢀⣿⣿⣻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⡻⠿⠆⡀⠀⠀⠀⠧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⠒⣚⢳⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠓⠛⠛⠛⠛⠛⢻⣯⣽⢽⣿⣿⣿⣿⠀⢿⣿⣺⣺⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠛⠃⠀⠀⠐⠂⠀⠀⠠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣻⣿⣯⣿⣿⣿⠋⠀⠘⣿⣶⣗⣞⣓⣾⣦⣀⠀⠀⠀⣀⣴⡦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⣾⠿⣿⣿⣿⣿⣿⡟⠀⠀⠀⣿⣷⡿⠛⠋⠹⠟⠛⠈⢛⡛⡛⡈⣎⡃⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣻⣿⣆⡙⢿⣿⡏⠀⠀⠀⠀⠘⢛⣖⣶⠶⠒⡄⡀⠀⠲⠆⠶⠲⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣩⣿⣿⣿⣶⣈⣇⣀⣀⣀⣀⣀⣀⣀⣉⣀⣀⣈⣴⣥⣤⣔⣂⣂⣐⣀⣀⣀⣀⣀⣀⣂⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣯⣿⣿⢽⣿⣿⣿⡿⡿⢿⣿⢿⣿⢽⠿⡿⡿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⡿⢿⡏⣹⣿⣽⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣛⣻⣿⣿⣻⣛⣿⣿⣿⣿⣿⣿
⣿⣿⡟⠑⢃⣚⣛⣛⣛⣛⠛⠛⠛⠂⠉⠉⠁⢠⣿⣿⣿⣿⣭⣿⣿⣿⣿⣯⢯⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠋⠀⠀⠀⠉⠉⠉⠉⢉⢻⠆⠰⢀⠂⠀⢀⠿⢽⢿⢿⣿⡿⢿⣿⣿⣿⣿⣿⠿⠿⢿⣿⢿⠿⠿⡿⡿⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣟⣿⣿⣿⣗⣿⣾⣿⣶⣿⣿⣾⣷⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣿⣿⣯⣭⣭⣿⣭⣿⣯⣯⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣶⣷⣾⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠽⠙⠂⣀⠀⠀⠀⠘⠛⠛⠛⠛⠛⠛⡛⠂⢀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⣋⣉⡝⣻⠛⠋⠹⣿⣿⢿⣿⣿⠙⢛⣿⣿⣿⣿⣿⣿⡿⢰⣿⣿⣿⣿⣿⣿⣿⡇⠀⡏⠢⠄⠀⠀⠀⠀⠀⠀
⣶⠶⠀⣇⡸⠀⢂⠆⣎⡂⡎⣂⡄⠈⠁⡤⢰⢰⢰⢀⣰⠀⠨⣀⠇⡆⡆⡇⢰⠀⠰⣀⠀⠀⠀⢐⢀⣖⢐⣓⣒⣺⠀⠀⠈⠉⠉⠩⣩⡅⠀⠉⠁⠉⠩⠹⠋⢿⣳⣖⣶⣽⣿⣿⠿⣿⣿⡗⢻⣿⣛⠓⠀⠀⠀⠀⠐⠀
⠿⠁⠀⠀⠀⠀⠀⢤⣤⣤⣤⣀⣄⣠⣤⣥⣤⣄⣤⣤⣌⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠲⡶⣶⢶⣶⣶⣾⡀⣨⣵⣖⠲⡖⣶⣶⠀⣴⡆⡶⠦⢼⠍⠭⣿⣿⡿⣿⣿⣭⣿⣿⣽⣥⡭⠭⠭⠥⠀⠀⠀⠀⢸⠀
⠀⠀⠀⠀⠀⠀⠀⢖⡶⣶⣾⣲⣲⣿⣖⣒⣷⣿⣾⣿⣿⣗⣿⣖⣒⣦⣄⠀⠀⠀⠀⠀⠀⠐⠲⣶⣶⣾⣶⣶⣶⣾⠀⢛⣛⢸⣶⣻⣿⡿⠀⡂⠿⠡⣽⣿⣵⠻⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⢸⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠓⢶⣚⢒⣒⣛⣛⣟⣓⣒⣒⣶⣾⣶⣶⣷⣶⣶⣿⣶⣦⠀⠀⠀⠂⢐⣶⣾⣶⣶⣶⣿⣿⣿⡀⠐⢒⣃⣻⡿⢿⣿⢠⣥⡬⢼⡽⣿⣿⣧⠭⡵⠯⢽⣿⡿⠟⠿⡿⢿⣿⣿⣭⣭⠄⠀⠀⠀⢘⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⣒⢒⣒⣟⣿⣿⣷⣿⣿⣿⣿⣿⣿⣟⣓⠊⠀⠀⠀⠂⢀⣒⣲⣒⣒⣒⣒⣳⣻⣿⣿⣿⣿⣿⣿⣿⣿⠈⣿⣯⣽⣿⣯⠻⣿⡆⠉⠁⠀⠀⠀⠈⠁⠁⢸⣾⣯⡟⢿⠀⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢂⣒⣚⣻⣿⣿⣿⣿⣟⣿⣚⣚⠂⠀⠀⠀⠀⠀⠐⡒⣒⣲⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⢈⣿⡿⣿⣿⣿⣿⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠽⣿⣿⣷⡿⠄⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⢦⣿⣶⣷⣾⣶⣾⡾⠁⠀⠀⠀⠀⠀⠀⢀⠶⣾⣦⣶⣶⣶⣿⣿⣿⣿⢿⢿⣿⣿⣿⣿⢸⣿⡿⣻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⣿⣿⡻⠗⠆⡀⠀⠀⠀⠧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⠒⣚⢳⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠓⠛⠛⠛⠛⠛⠛⡯⣽⢯⣿⣿⣿⣿⠀⠿⣿⣺⣻⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠚⠃⠀⠀⠔⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣎⢣⣿⣭⣿⣿⣿⠋⠀⠘⣿⡖⣷⣚⣓⣻⣦⣀⠀⠀⢀⣀⣴⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠈⣿⢖⣈⣿⣿⠿⠟⠀⠀⠀⠀⠓⠿⠿⠟⠻⠟⠛⠁⢛⠛⡃⢋⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣒⣑⢺⠙⠁⠀⠀⠀⠀⠀⢀⣀⣤⡖⠠⠀⠀⠀⠀⠀⠶⠦⡺⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣐⣂⣀⣀⣀⣕⣶⣂⣁⣀⣀⣀⣀⣀⣀⣀⣀⣁⣀⣀⣄⣠⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣂⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣯⣿⣿⢽⣿⣿⣿⡿⡿⢿⣿⢿⣿⢽⠿⡿⡿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⢿⡿⢿⡏⣹⣿⣽⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣛⣻⣿⣿⣻⣛⣿⣿⣿⣿⣿⣿
⣿⣿⡟⠑⢃⣚⣛⣚⣛⣛⠛⠛⠛⠂⠉⠉⠁⢠⣿⣿⣿⣿⣭⣿⣿⣿⣿⣯⢯⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠋⠀⠀⠀⠉⠉⠉⠙⢉⢲⠆⠰⢀⠂⠀⢀⠿⢽⢿⢿⣿⡿⢿⣿⣿⣿⣿⣿⠿⠿⢿⣿⢿⠿⠿⡿⡿⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣟⣿⣟⣿⣿⣿⣗⣿⣾⣿⣶⣿⣿⣾⣷⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣽⣿⣯⣭⣭⣿⣭⣿⣯⣯⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣶⣷⣾⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠽⠙⠂⠀⠀⠀⠀⠘⠛⠛⠛⠛⠛⠛⡛⠒⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣉⣉⡝⣫⠛⠉⠩⣭⣿⢿⣿⣿⠙⢛⣿⣿⣿⣿⣿⣿⡟⢰⣿⣿⣿⣿⣿⣿⣿⡇⢰⡦⠰⠄⠀⠀⠀⠀⠀⠀
⣶⡶⠀⡇⡸⠀⢂⠄⡦⡆⡆⡢⡄⠀⠀⡤⢰⢰⢰⢐⢰⠀⢸⢀⠇⡆⡆⡇⢰⠐⢰⢀⠀⠀⠀⠐⣀⣒⣐⣓⣒⣺⠀⠀⠈⠉⠉⠩⣉⡅⠀⠈⠁⡉⢩⢹⠛⢿⣱⣖⣮⣹⣿⣿⢿⣿⣿⡇⢻⣿⣿⣟⠀⠀⠀⠀⠀⠀
⠿⠁⠀⠀⠀⠀⠀⢤⣤⣤⣄⣀⣄⣠⣠⣡⣤⣀⣄⣤⣌⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡶⡲⣶⢶⣶⣶⣾⡀⣪⣵⣖⢶⡒⣶⣶⠀⣴⡆⡶⠦⢼⠍⠭⣿⣿⡿⣿⣿⣥⣹⣯⣽⣤⠭⠭⠭⡭⠀⠀⠀⠀⢸⡀
⠀⠀⠀⠀⠀⠀⠀⢖⣶⣶⣾⣲⣲⣿⣖⣒⣷⣿⣾⣿⣿⣗⣿⣖⣖⣦⣄⠀⠀⠀⠀⠐⠠⠴⠲⣶⣶⣾⣶⣶⣶⣾⡁⢚⣛⢸⣴⣻⣿⡿⠀⡂⠿⠡⣿⣿⣷⠳⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⢐⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠓⢶⣚⢒⣓⣛⣛⣟⣓⣒⣲⣶⣾⣶⣶⣶⣶⣶⣿⣶⣦⠀⠀⠀⠀⠰⣶⣾⣶⣶⣶⣿⣿⣿⠂⠐⢒⣃⣻⡿⢿⣿⢀⣡⡬⢬⡿⡿⣿⡄⠭⠴⣭⣭⣿⡿⠟⠿⡿⢿⣿⣿⣭⣭⠄⠀⠀⠀⢠⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⣒⢒⣒⣟⣿⣿⣷⣿⣿⣿⣿⣿⣿⣟⣓⠊⠀⠀⠀⠀⢀⡒⣲⣒⣒⣒⣒⣳⣻⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣯⣿⣿⣝⢿⣿⡌⠋⠁⠀⠀⠀⠈⠁⠁⢸⣾⣿⡟⢻⠀⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢂⣒⣚⣻⣿⣿⣿⣿⣟⣿⣞⣛⠂⠀⠀⠀⠀⠀⢀⡒⣒⣲⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⡯⣿⣿⣿⣿⡍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣷⡿⠄⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⢦⣿⣷⣷⣾⣶⣾⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⢺⣦⣶⣶⣶⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⢸⣿⡿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣿⣿⡻⠗⠆⠀⠀⠀⠀⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⠒⣚⢳⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠛⠛⠛⠛⠛⠛⠛⡭⠅⢿⣿⣿⢩⠀⠉⡋⢘⣂⣛⣛⡆⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠚⠃⠀⠀⢐⠂⢀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⢀⠀⣥⢭⣹⣏⠚⠠⠀⠘⣟⡖⣗⣒⣓⣲⣦⣀⠀⠀⠀⣀⣴⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠘⠄⠁⠂⠀⠀⠀⠀⢐⠷⠾⠟⠋⠹⠉⠉⠘⢛⠛⠃⢋⣇⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⢒⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠶⠠⡀⠀⠀⠀⠀⠖⠂⠺⠀⠀⠄⢀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣆⣀⣀⣀⣄⣐⣂⣀⣀⣀⣰⣀⣀⣀⣀⣀⣀⣀⣀⣄⣠⣄⣄⣀⣀⣀⣂⣀⣀⣀⣀⣀⣂⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⢽⣿⣿⣿⡿⡿⢿⣿⢿⣿⢽⠿⡿⡿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⡿⢿⠏⣹⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣛⣻⣿⣿⣻⣛⣿⣿⣿⣿⣿⣿
⣿⣿⡟⠙⡁⣚⣛⣛⣛⣛⠛⠛⠛⠂⠉⠉⠉⢠⣿⣿⣿⣿⣯⣿⣿⣿⣿⣯⢯⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠋⠀⠀⠀⠉⠉⠙⠋⢉⢻⠆⠰⢀⠂⠀⢀⠿⢽⢿⢿⣿⡿⢿⣿⣿⣿⣿⣿⠿⠿⢿⣿⢿⠿⠿⡿⡿⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣟⣿⣿⣿⣗⣿⣾⣿⣶⣿⣿⣾⣷⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣿⣿⣯⣭⣭⣿⣭⣿⣯⣯⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣶⣷⣾⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠽⠝⠂⠀⠀⠀⠀⠘⠛⠛⠻⠟⠛⠿⡛⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢉⣉⡝⣻⠛⠋⠩⣽⣿⢿⣿⣿⠑⠻⣿⣿⣿⣿⣿⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⡆⣠⢮⡠⡀⠀⠀⠀⠀⠀⠀
⣶⢶⠀⡇⠰⠀⢂⠄⡦⠆⡆⠢⡂⠐⠀⣤⢰⢰⢰⢐⢰⠀⢸⠀⡇⡆⡆⡇⢰⠐⢰⠴⠀⠀⠀⠐⢀⢒⣐⣗⣂⣺⠀⢠⠈⠉⠉⠩⣉⡅⠀⠉⠁⢩⢩⢹⠛⠟⣼⣒⣏⣿⣿⣿⣿⣿⣿⡗⣻⣟⣻⡛⠀⠀⠀⠀⠐⠀
⠿⠁⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣂⣀⣀⣀⣐⣊⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡦⠶⡶⣶⢶⣶⣶⣾⡄⣪⣵⣖⢲⡖⣶⣶⠀⣴⡆⠶⠶⢼⠍⢭⣿⣿⡿⣿⣿⣥⣻⣿⣭⣤⠭⠭⠭⡥⠀⠀⠀⠀⠸⡀
⠀⠀⠀⠀⠀⠀⠀⢖⣶⣶⣾⣶⣲⣿⣖⣒⣷⣿⣾⣿⣿⣖⣿⣖⣒⣦⣄⠀⠀⠀⠀⠐⠀⠐⠦⣴⣶⣾⣶⣶⣶⣾⡅⢘⣛⢸⣤⣻⣿⡟⠀⡂⠿⠡⡽⣿⡗⢸⡿⢿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠯⠀⠀⠀⠀⠸⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠓⢶⣚⢒⣓⣛⣛⣟⣓⣒⣲⣶⣾⣶⣶⣶⣶⣶⣿⣶⣦⠀⠀⠀⢀⠔⡤⣾⣶⣶⣶⣿⣿⣿⡄⠀⢐⣃⣻⣿⢿⣿⢀⣥⡬⢼⢿⣿⣿⡸⢥⠮⣭⣽⣿⡿⠟⢿⠿⢿⣿⣯⣭⣭⠄⠀⠀⠀⢰⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⣒⢒⣒⣛⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣓⠊⠀⠀⠀⠀⢀⣒⣲⣒⣒⣒⣒⣻⣻⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣯⣿⣿⡝⢿⣧⠘⠋⠁⠀⠀⠀⠈⠁⠁⣼⣾⣿⡋⢿⠃⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢂⣒⣛⣻⣿⣿⣿⣿⣟⣿⣞⣚⠂⠀⠀⠀⠀⠀⢀⡐⣒⣲⣶⣶⣶⣶⣿⣿⣿⣿⣿⢿⣿⣿⣿⢸⣿⡯⣿⣿⣿⣷⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣷⡿⠆⠀⠀⠀⠀⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⢦⣿⣷⣷⣾⣶⣾⡾⠁⠀⠀⠀⠀⠀⠀⢀⠠⣾⣦⣶⣶⣶⣿⣿⣿⣿⠯⠟⣿⣿⣿⣿⠈⣻⡿⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⣿⣿⡻⠗⠆⡀⠀⠀⠀⠯
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⠒⣚⣳⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠓⠛⠛⠛⠛⠛⠛⠫⢨⠡⠉⠇⠁⢍⠈⢉⣭⣨⣈⣍⣙⡄⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠛⠃⠀⠀⠐⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠀⠀⠀⠙⠀⠈⣟⡖⣗⣛⣛⣛⣦⢀⠀⠀⠀⢀⣴⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⠀⠀⠀⠀⠒⠁⠀⠀⠀⠀⠀⠀⠐⠓⠊⠉⠋⠁⠈⠸⠟⠛⡟⡟⣋⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠒⠲⠆⠀⢀⠀⠄⠤⠖⠺⠀⠖⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣀⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣂⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣠⣤⣠⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣂⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣯⣿⣿⢽⣿⣿⣿⡿⡿⢿⣿⢿⣿⢽⠿⡿⡿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⡿⢿⡏⣹⣿⣽⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣛⣻⣿⣿⣻⣛⣿⣿⣿⣿⣿⣿
⣿⣿⡟⠙⣃⣚⣛⣛⣛⣛⠛⠛⠛⠂⠉⠉⠉⢠⣿⣿⣿⣿⣭⣿⣿⣿⣿⣯⢿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠋⠀⠀⠀⠉⠉⠙⠙⢉⢻⠆⠰⢀⠂⠀⢀⠿⢽⢿⢿⣿⡿⢿⣿⣿⣿⣿⣿⠿⠿⢿⣿⢿⠿⠿⡿⡿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣟⣿⣿⣿⣗⣿⣾⣿⣶⣿⣿⣾⣷⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣿⣿⣯⣭⣭⣿⣭⣿⣯⣯⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣶⣷⣾⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠽⠽⠂⠀⠀⠀⠀⠸⠿⠿⠿⠿⠿⠿⠿⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣊⣈⡝⣻⠛⠋⢩⣽⣿⢿⣿⣿⠙⢻⣿⣿⣿⣿⣿⣿⢁⣿⣿⣿⣿⣿⣿⣿⣿⠀⣸⢦⠤⠆⠀⠀⠀⠀⠀⠀
⣶⣶⠀⡏⢱⠀⢂⡄⡴⠆⡖⠔⡂⠐⠓⣠⢺⢰⢢⠐⢲⠀⢐⠉⡆⡖⡄⡇⢰⠒⢠⠒⠀⠀⠀⠐⣂⣒⣐⣓⣒⣺⠂⠀⡈⠉⠉⠩⣩⡅⠀⡍⠉⠍⢩⢹⠛⢏⣖⡒⣟⣿⣿⡿⣿⣿⣿⠘⣿⣿⣛⡛⠀⠀⠀⠀⠀⠀
⠿⠁⠀⠉⠁⠀⠈⢀⣈⣁⣁⣈⣀⣀⣀⣂⣈⣈⣈⣐⣋⣀⣀⣉⠀⠁⠁⠁⠈⠀⠀⠉⣀⢀⣀⠲⡶⣶⢶⣶⣶⣾⡇⣨⣵⣖⠶⡖⣶⣶⠀⣴⡆⡶⠦⢼⠍⢩⣿⣿⣿⣿⣿⣬⣿⣿⣥⡬⠭⠭⠭⡥⠀⠀⠀⠀⢨⡀
⠀⠀⠀⠀⠀⠀⠀⢖⣶⣶⣾⣶⣲⣿⣖⣒⣿⣿⣾⣿⣿⣗⣿⣖⣖⣦⣄⠀⠀⠀⠀⠐⠂⠰⠀⣶⣶⣾⣶⣶⣶⣾⠅⢛⣛⢸⣼⣻⣿⡟⠀⡂⠿⢡⡽⣿⠇⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠿⠀⠀⠀⠀⢸⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠓⢶⣚⢒⣓⣛⣛⣟⣓⣚⣲⣶⣾⣶⣶⣷⣶⣶⣿⣶⣦⠀⠀⠀⠀⢴⣶⣾⣶⣶⣶⣿⣿⣿⡄⠀⢒⣃⣻⣿⢿⣿⢀⣁⡤⠼⣿⣿⣇⠸⠵⣬⣍⣻⣿⡿⠻⠿⢿⢿⣿⣟⣽⣭⡄⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⣒⢒⣒⣟⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣓⠊⠀⠀⠀⠀⢂⣒⣲⣒⣒⣒⣒⣳⣻⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣯⣽⣮⠽⣿⡄⠻⠊⠁⠀⠀⠀⠈⠀⠀⣾⣾⣯⡋⢻⠀⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢂⣒⣚⣻⣿⣿⣿⣿⣟⣿⣞⣚⠂⠀⠀⠀⠀⠀⢐⡒⣒⣲⣶⣶⣶⣶⣿⣿⣿⣿⡏⢺⣿⣿⣿⢸⣿⡿⣿⣿⣿⣍⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⠻⠇⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⢦⣿⣷⣷⣾⣶⣾⡾⠁⠀⠀⠀⠀⢀⠀⢠⡶⣾⣦⣶⣶⣶⣿⣿⣿⣿⠿⠇⢸⠋⣻⣿⠸⣿⣿⣻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⣿⣿⡻⠃⠂⡀⠀⠀⠀⢦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⠒⣚⣷⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠓⠛⠛⠛⠛⠛⠛⠋⠉⠌⠈⠀⢀⣭⠀⢨⣭⣨⣨⣭⣥⡄⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠛⠃⠀⠀⠔⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠁⠀⠀⠀⠈⠛⠀⠀⣝⡖⣒⣚⣓⣚⡄⣀⠀⠀⠀⣀⣴⣶⠀⡀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠈⠉⠁⠀⠀⠻⠟⢛⡛⡜⣛⡇⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠒⠶⠆⠀⠀⠠⠀⠰⠂⠒⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣀⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣐⣐⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣂⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣯⣿⣿⢽⣿⣿⣿⡿⡿⢿⣿⢿⣿⢽⠿⡿⡿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⡿⢿⡏⣹⣿⣽⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣛⣻⣿⣿⣻⣛⣿⣿⣿⣿⣿⣿
⣿⣿⡟⠙⣃⣚⣛⣛⣛⣛⠛⠛⠛⠂⠉⠉⠉⢠⣿⣿⣿⣿⣭⣿⣿⣿⣿⣯⢿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠋⠀⠀⠀⠉⠉⠙⠙⢉⢻⠆⠰⢀⠂⠀⢀⠿⢽⢿⢿⣿⡿⢿⣿⣿⣿⣿⣿⠿⠿⢿⣿⢿⠿⠿⡿⡿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣟⣿⣿⣿⣗⣿⣾⣿⣶⣿⣿⣾⣷⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣿⣿⣯⣭⣯⣿⣭⣿⣯⣯⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣶⣷⣾⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠽⠹⠂⠀⠀⠀⠀⠸⠿⠿⠿⠿⠿⠿⠿⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⣋⣁⡝⣻⠛⠋⠩⣽⣿⢻⣿⣿⠙⠛⣿⣿⣿⣿⣿⡿⢰⣿⣿⣿⣿⣿⣿⣿⣷⢐⡻⢦⠀⠀⠀⠀⠀⠀⠀⠀
⣷⠶⠀⡏⢱⠀⠂⡄⡔⠄⡔⠔⡂⠐⠓⣀⢸⢠⢢⠀⢲⠀⢐⠉⡆⡔⡄⡇⢰⠒⢠⠂⠀⠀⠀⠐⠀⣖⣐⣓⣒⣺⠀⠀⠈⠉⠉⠩⢉⡅⠀⡍⠁⠍⠩⢹⠛⢡⡇⠾⣹⣿⣿⣿⣿⣿⡿⢛⣿⣟⣛⣛⠀⠀⠀⠀⠐⠀
⠿⠁⠀⠉⠁⠀⠈⢀⣉⣁⣁⣉⣁⣀⣀⣂⣈⣈⣈⣘⣙⣀⣀⣉⠀⠁⠁⠁⠈⠀⠀⠉⠀⠀⠀⢲⡶⣶⢶⣶⣶⣾⡄⣪⣵⣖⠶⡒⣶⣶⠀⣴⡆⡶⠶⢼⠭⢽⣿⣿⣿⣿⣿⣔⣾⣿⣥⡬⠭⠭⠭⡭⠀⠀⠀⠀⢠⡀
⠀⠀⠀⠀⠀⠀⠀⢖⡶⣶⣾⣶⣲⣿⣖⣒⣿⣿⣾⣿⣿⣗⣿⣖⣒⣦⣄⠀⠀⠀⠀⠐⠀⠐⠦⣶⢶⣾⣶⣶⣶⣾⡇⢛⣛⢸⣼⣻⣿⡟⠀⡂⠿⢡⡿⡿⠇⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠯⠀⠀⠀⠀⠰⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠓⢶⣚⢓⣓⣛⣛⣟⣓⣒⣲⣶⣾⣶⣶⣷⣶⣶⣿⣶⣦⠀⠀⠀⠀⢰⣶⣾⣶⣶⣶⣿⣿⣿⡀⠀⢒⣃⣻⡿⢿⣿⠀⠁⡠⢽⣯⢯⡀⠽⢤⣭⣝⣿⣿⡿⠻⡿⣿⢿⣿⣏⣽⣭⠀⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⣒⢒⣒⣛⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣓⠊⠀⠀⠀⠀⢀⣂⣲⣒⣒⣒⣒⣳⣻⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣯⢭⡻⠿⣷⡈⠻⠊⠁⠀⠀⠀⠀⠁⠀⣾⣾⣯⡋⢻⠀⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣂⣒⣚⣻⣿⣿⣿⣿⣟⣿⣞⣚⠂⠀⠀⠀⠀⠀⢀⡐⣒⣲⣶⣶⣶⣶⣿⣿⣿⣿⡿⣿⣿⣿⣿⢸⣿⡯⣿⣿⣷⡍⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⡷⠻⠆⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⢦⣿⢷⣷⣾⣶⣾⡾⠁⠀⠀⠀⠀⠀⠀⢀⢴⣺⣤⣶⣶⣶⣿⣿⣿⣿⡿⢇⣿⣿⣿⣿⢸⣿⡿⣻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣚⣿⣿⡻⠚⠂⡀⠀⠀⠀⠦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⠒⣚⢷⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠓⠛⠛⠛⠛⠛⠛⠛⠁⠍⠽⡁⠃⢻⠈⠙⣛⣛⣛⣛⣛⡄⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠛⠃⠀⠀⢔⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠁⠨⣿⠀⠘⣛⡖⣓⣚⣓⢚⡆⣀⠀⠀⠀⣀⣤⡆⠀⡀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠒⠓⠛⠉⠉⠉⠁⠻⠟⢛⡛⠙⣛⡇⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠄⠀⠀⠀⠀⠠⠀⠒⠐⠂⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣀⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣆⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⣠⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣘⣂⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣯⣿⣿⢽⣿⣿⣿⡿⡿⢿⣿⢿⣿⢽⠿⡿⡿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⢿⡏⣹⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣛⣻⣿⣿⣻⣛⣿⣿⣿⣿⣿⣿
⣿⣿⡟⠙⣃⣚⣛⣛⣛⣛⠛⠛⠛⠂⠉⠉⠁⢠⣿⣿⣿⣿⣭⣿⣿⣿⣿⣯⢿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠋⠀⠀⠀⠉⠉⠙⠙⢉⢻⠆⠰⢀⠂⠀⢀⠿⢽⢿⢿⣿⡿⢿⣿⣿⣿⣿⣿⠿⠿⢿⣿⢿⠿⠿⡿⡿⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣟⣿⣿⣿⣗⣿⣾⣿⣶⣿⣿⣾⣷⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣿⣿⣯⣯⣯⣿⣭⣿⣯⣯⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣶⣷⣾⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠽⠹⠀⠀⠀⠀⠀⠸⠿⠿⠿⠿⠿⠿⠿⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢀⣉⡝⣫⠟⠋⠹⢽⣿⢻⣿⣿⠙⠻⣿⣿⣿⣿⣿⣿⡏⣼⣿⣿⣿⣿⣿⣿⣿⡇⢐⣤⠐⠂⠀⠀⠀⠀⠀⠀
⣷⠶⠀⡆⢰⠀⠄⡄⡄⠄⡄⠄⡀⠐⠁⣀⢨⢠⢠⠠⢠⠀⢐⠀⡆⡄⡄⡇⢠⠀⢠⠀⠀⠀⠀⢐⣂⢒⢐⣓⣒⣺⠀⠀⠈⠉⠉⠩⣉⡅⠀⡌⠁⠉⣩⢹⠛⢿⣵⣒⣎⣿⣿⡿⣿⣿⣿⡇⢻⣟⣛⠋⠀⠀⠀⠀⠐⠀
⠿⠁⠀⠁⠁⠀⠈⢀⣉⣁⣁⣉⣁⣀⣀⣃⣈⣈⣈⣈⣙⣀⣀⣉⠀⠁⠁⠁⠈⠀⠀⠉⠀⠐⡀⠶⡶⣶⢶⣶⣶⣾⡀⣠⣵⣖⠶⡒⣶⣶⠀⣴⡆⡶⠶⢼⠍⢭⣿⣿⣿⣿⣿⣥⣽⣿⣽⣤⠭⠭⠭⡥⠀⠀⠀⠀⢨⡀
⠀⠀⠀⠀⠀⠀⠀⢖⣶⣶⣾⣶⣲⣿⣖⣒⣿⣿⣾⣿⣿⣗⣿⣖⣖⣦⣄⠀⠀⠀⠀⠀⠀⠐⠦⣴⣶⣾⣶⣶⣶⣾⡆⢚⣛⢸⣾⣻⣿⡟⠀⡂⠿⠡⡽⣿⡗⢻⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠸⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠑⢶⣘⢒⣓⣛⣛⣟⣓⣒⣒⣶⣾⣶⣶⣷⣶⣶⣿⣶⣦⠀⠀⠐⠂⠐⣶⣾⣶⣶⣶⣿⣿⣿⡂⠀⢒⣃⣻⡿⢿⣿⢀⣥⡤⢼⢿⣿⣿⡘⢭⠾⢯⣽⣿⡿⠟⢿⠿⢿⣿⣿⣭⣭⡀⠀⠀⠀⢀⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⣒⠒⣒⣛⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣓⠊⠀⠀⠀⠀⢀⢒⣲⣒⣒⣒⣒⣳⣻⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣯⣽⣿⣝⢿⣧⡈⠋⠁⠀⠀⠀⠀⠁⠁⣼⣾⣯⡋⢻⠀⠀⠀⠀⠀⡏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⣒⣛⣻⣿⣿⣿⣿⣟⣿⣞⣚⠂⠀⠀⠀⠀⠐⢒⡂⣒⣲⣶⣶⣶⣶⣿⣿⣿⣿⣿⢿⣿⣿⣿⢸⣿⡯⣿⣿⣿⣷⡍⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡷⡿⠆⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⢦⣿⢷⣷⣾⣶⣾⡾⠁⠀⠀⠀⠀⠀⠀⢀⠴⣾⣦⣶⣶⣶⣿⣿⣿⣿⠿⢿⢸⣿⣿⣟⠸⣿⡿⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣔⣻⣿⡻⠟⠄⡀⠀⠀⠀⢇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⠒⣚⢷⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠑⠛⠛⠛⠛⠛⠛⠛⢩⠭⠸⡽⠛⣈⠀⢨⣭⣈⡈⢛⣛⡄⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠛⠃⠀⠀⠒⠂⠄⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠅⠁⠁⠀⠺⠀⠘⣿⡖⣓⣒⣓⣻⣦⣀⠀⠀⠀⢀⣴⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠈⠀⠀⠀⡀⠀⠀⠒⠓⠞⠋⠉⠉⠉⠀⠛⢛⡟⠚⣋⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⢀⠀⠄⠀⠆⠚⠀⠪⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣀⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣐⣆⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣂⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣯⣿⣿⢽⣿⣿⣿⡿⡿⢿⣿⢿⣿⢽⠿⡿⡿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⡿⢿⡏⣹⣿⣽⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣛⣻⣿⣿⣻⣛⣿⣿⣿⣿⣿⣿
⣿⣿⡟⠙⣃⣚⣛⣛⣛⣛⠛⠛⠛⠂⠉⠉⠉⢠⣿⣿⣿⣿⣭⣿⣿⣿⣿⣯⢿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠋⠀⠀⠀⠉⠉⠙⠙⢉⢻⠆⠰⢀⠂⠀⢀⠿⢽⢿⢿⣿⡿⢿⣿⣿⣿⣿⣿⠿⠿⢿⣿⢿⠿⠿⡿⡿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣟⣿⣿⣿⣗⣿⣾⣿⣶⣿⣿⣾⣷⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣿⣿⣯⣭⣯⣿⣭⣿⣯⣯⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣶⣷⣾⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠽⠙⠂⠀⠀⠀⠀⠸⠿⠿⠿⠿⠿⠿⠿⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣉⣈⡝⣻⠛⠛⢩⣽⣿⢻⣿⣿⠑⠻⣿⣿⣿⣿⣿⣿⡟⣰⣿⣿⣿⣿⣿⣿⣿⡇⣀⣤⠰⠄⠀⠀⠀⠀⠀⠀
⣷⡶⠀⡆⢠⠀⠄⡀⣄⡄⡄⢄⡀⠀⠁⣀⢠⢠⢠⠠⢠⠀⢰⠀⡆⡄⡄⡆⢠⠠⢠⣠⠀⠀⠀⠐⢀⣒⢐⣗⣒⣺⠀⠀⠈⠉⠉⠩⢉⡅⠀⡌⠁⠍⣩⢹⠛⢿⣣⠹⣝⣿⣿⣿⣿⣿⣿⡇⢹⣟⣛⡃⠀⠀⠀⠀⠐⠀
⠿⠁⠀⠁⠁⠀⠈⠀⠁⠁⠁⢁⢁⢀⡀⣋⡈⣈⣈⣈⣜⡀⠈⠀⠀⠁⠁⠁⠈⠀⠈⠀⠀⠀⡀⠲⡶⣶⣶⣶⣶⣾⠀⣪⣵⣖⠶⡖⣶⣶⠀⣴⡆⠶⠦⢼⠍⠬⣿⣿⡿⣿⣿⣥⣾⣿⣽⣤⠭⠭⠭⡭⠀⠀⠀⠀⢈⡀
⠀⠀⠀⠀⠀⠀⠀⢖⣶⣶⣾⣶⣲⣿⣖⣒⣿⣿⣾⣿⣿⣗⣿⣖⣖⣦⣄⠀⠀⠀⠀⠀⠠⠔⠲⢶⢶⣾⣶⣶⣶⣾⠀⢘⣛⢸⣤⣻⣿⡿⢀⡊⠿⠁⣽⢽⡷⠻⡿⢿⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠷⠀⠀⠀⠀⠸⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠑⢶⣚⢒⣓⣛⣛⣟⣓⣒⣲⣶⣾⣶⣶⣷⣶⣶⣿⣶⣦⠀⠀⠀⠂⢐⣖⣾⣶⣶⣶⣿⣿⣿⡀⠀⢒⣃⣻⡿⢿⣿⢀⣁⡠⢬⢯⣿⣿⡄⠷⠬⣿⣿⢿⡿⠟⢿⡿⢿⣿⣿⣭⣭⠀⠀⠀⠀⢐⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⣒⢒⣒⣛⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣓⠊⠀⠀⠀⠀⢀⠒⣲⣒⣒⣒⣒⣳⣻⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣯⣽⣿⣝⢿⣷⠈⠋⠁⠀⠀⠀⠈⠁⠁⢸⣾⣿⡏⢻⠀⠀⠀⠀⠀⡅
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⣒⣛⣻⣿⣿⣿⣿⣟⣿⣞⣛⠂⠀⠀⠀⢀⠀⢐⡐⣒⣲⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⡿⣿⣿⣿⣷⡍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠽⣿⣿⡷⡿⠆⠀⠀⠀⠀⡅
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⢦⣿⢿⣷⣾⣶⣾⡾⠁⠀⠀⠀⠀⠀⠀⢀⡰⣾⣦⣶⣶⣶⣿⣿⣿⣿⣿⢿⣿⣿⣿⡿⠸⣿⡿⣻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣖⣛⣿⡻⠗⠆⡀⠀⠀⠀⢤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⠒⣚⢷⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠛⠛⠛⠛⠛⠛⠛⠉⠬⠞⡽⠫⣑⠀⢈⣯⣘⣊⣛⣛⡀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠛⠃⠀⠀⠐⠂⠄⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠄⠅⠣⠀⠀⠰⠀⠈⣻⡖⣗⣞⣓⣻⣦⠀⠀⠀⠀⣀⣴⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠈⠂⠀⠀⠀⠀⠀⠒⠓⠞⠋⠉⠙⠋⠁⠟⠙⡟⢃⢋⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⠀⠀⠀⠠⠄⠒⠀⠺⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣀⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣃⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣂⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣯⣿⣿⢽⣿⣿⣿⡿⡿⢿⣿⢿⣿⢽⠿⡿⡿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⡿⢿⡏⣹⣿⣽⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣛⣻⣿⣿⣻⣛⣿⣿⣿⣿⣿⣿
⣿⣿⡟⠙⣃⣚⣛⣛⣛⣛⠛⠛⠛⠂⠉⠉⠉⢠⣿⣿⣿⣿⣭⣿⣿⣿⣿⣯⢿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠋⠀⠀⠀⠉⠉⠙⠙⢉⢻⠆⠰⢀⠂⠀⢀⠿⢽⢿⢿⣿⡿⢿⣿⣿⣿⣿⣿⠿⠿⢿⣿⢿⠿⠿⡿⡿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣟⣿⣿⣿⣗⣿⣾⣿⣶⣿⣿⣾⣷⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣿⣿⣯⣭⣯⣿⣭⣿⣯⣯⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣶⣷⣾⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠽⠙⠂⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣶⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣁⣈⡝⣻⠛⠛⠹⢽⣿⢿⣿⣿⠙⠻⣿⣿⣿⣿⣿⣿⡟⢼⣿⣿⣿⣿⣿⣿⣿⡆⣀⣖⠰⠆⠀⠀⠀⠀⠀⠀
⣷⠶⠀⡖⢢⠀⠄⡀⣤⡄⡤⣠⠄⠠⠤⢀⢠⢠⢤⠠⢤⠀⠠⠒⡄⡤⡀⡆⢠⠤⢀⣤⠀⠀⠀⠐⢂⣖⣐⣓⣢⣺⠀⠀⡈⠉⠉⠩⢉⡅⠀⡌⠁⢍⠉⢹⠛⠿⣅⣒⣹⣿⣿⠿⣿⣿⣿⠃⢩⣛⣛⡛⠀⠀⠀⠀⠐⠀
⠿⠁⠀⠓⠈⠀⠘⠁⠑⠀⠁⠐⠁⠀⠀⠍⠘⠈⠘⠨⠞⠀⠈⠂⠁⠁⠃⠁⠘⠀⠈⠒⠀⠀⠄⠲⡶⣶⢶⣶⣶⣾⡀⣨⣵⣖⢲⡒⣶⣶⠀⣴⡆⠶⠦⢼⠍⢭⣿⡿⣽⣿⣿⣭⣽⣿⣯⣤⠭⠭⠭⡅⠀⠀⠀⠀⢨⡀
⠀⠀⠀⠀⠀⠀⠀⢖⣶⣶⣾⣶⣲⣿⣖⣒⣿⣿⣾⣿⣿⣗⣿⣖⣒⣦⣄⠀⠀⠀⠀⠀⠀⠐⠒⢶⢶⣾⣶⣶⣶⣾⠁⢚⣛⢸⣼⣻⣿⡿⠀⡂⠿⠡⣽⣿⡷⢻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠰⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠑⢶⣚⢒⣓⣛⣛⣟⣓⣒⣲⣶⣾⣶⣶⣷⣶⣶⣿⣶⣦⠀⠀⠀⠂⠐⣠⣾⣶⣶⣶⣿⣿⣿⡃⠀⢒⣓⣻⡿⢿⣿⢀⣁⡨⢬⢯⣿⣿⡈⢕⠾⣭⣿⣿⡿⠟⠿⣿⢿⣿⣯⣽⣭⠄⠀⠀⠀⢐⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⣒⢒⣒⣛⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣓⠊⠀⠀⢀⡀⢂⡒⣲⣒⣒⣒⣒⣳⣻⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣯⣽⣿⣝⢿⣧⡈⠋⠁⠀⠀⠀⠈⠀⠀⢸⣾⣯⡏⢻⠀⠀⠀⠀⠀⡅
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⣒⣛⣻⣿⣿⣿⣿⣟⣿⣞⣛⠂⠀⠀⠀⠀⠀⠀⡐⣒⣲⣶⣶⣶⣶⣿⣿⣿⣿⣿⢿⣿⣿⣿⢸⣿⡿⣿⣿⣿⣷⡍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡷⡿⠄⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⢦⣿⢿⣷⣾⣶⣾⡾⠁⠀⠀⠀⠀⠀⠀⢀⡤⣾⣦⣶⣶⣶⣿⣿⣿⣿⣿⢿⢸⣿⣿⡿⠸⣿⣿⣺⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣔⣛⣿⡻⠟⠄⡀⠀⠀⠀⡥
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⡒⣚⢷⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠓⠛⠛⠛⠛⠛⠛⠛⠩⠬⠘⡽⠻⢑⠀⢈⣋⣘⣋⢛⣛⡄⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠛⠁⠀⠀⠔⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠈⠅⠣⠀⠀⠸⠀⠘⣿⡖⣗⣚⣓⣛⣦⡀⠀⠀⢀⣀⣴⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⣀⠈⠂⠀⠀⠀⠀⠀⠐⠷⠾⠋⠉⠉⠉⠁⠟⠛⣟⠘⣋⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⡠⠄⠀⠀⠀⠀⠠⠄⠒⠀⠺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣀⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣆⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣯⣿⣿⢽⣿⣿⣿⡿⡿⢿⣿⢿⣿⢽⠿⡿⡿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⢿⡏⣹⣿⣽⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣛⣻⣿⣿⣻⣛⣿⣿⣿⣿⣿⣿
⣿⣿⡟⠙⣃⣚⣛⣛⣛⣛⠛⠛⠛⠂⠉⠉⠉⢠⣿⣿⣿⣿⣭⣿⣿⣿⣿⣯⢿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠋⠀⠀⠀⠉⠉⠙⠙⢉⢻⠆⠰⢀⠂⠀⢀⠿⢽⢿⢿⣿⡿⢿⣿⣿⣿⣿⣿⠿⠿⢿⣿⢿⠿⠿⡿⡿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣟⣿⣿⣿⣗⣿⣾⣿⣶⣿⣿⣾⣷⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣿⣿⣯⣭⣯⣿⣭⣿⣯⣯⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣶⣷⣾⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠽⠽⠂⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣶⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠐⣋⣉⡝⣻⠟⠋⠩⣭⣿⢿⣿⣿⠙⢻⣿⣿⣿⣿⣿⣿⢁⣿⣿⣿⣿⣿⣿⣿⣿⡄⣰⣦⠰⠆⠀⠀⠀⠀⠀⠀
⣷⣶⠀⡖⢢⠀⠄⡀⡠⡀⡤⡠⠄⠠⠦⠀⢴⢠⢄⠀⢤⠀⠠⠒⡄⡤⡀⡆⢠⠤⢀⠤⠀⠀⠀⢀⢀⣖⢐⣓⣒⣺⠀⠀⠈⠉⠉⠩⣉⡅⠀⡌⠁⠉⣩⢹⠛⠟⣬⠾⣍⣿⣿⣿⣿⣿⣿⠟⣿⣿⣛⠓⠀⠀⠀⠀⠀⠀
⠿⠁⠀⠓⠊⠀⠐⠁⠑⠂⠃⠒⠃⠀⠀⠍⠘⠘⠘⠰⠞⠀⠈⠒⠁⠃⠃⠃⠘⠀⠈⠒⠀⠀⡀⠴⡶⣶⢶⣶⣶⣾⡁⣨⣵⣖⢲⡒⣶⣶⠀⣴⡆⡶⠦⢼⠍⠭⣿⣿⡿⣿⣿⣭⣿⣿⣭⣬⠭⠭⠭⡭⠀⠀⠀⠀⢈⡀
⠀⠀⠀⠀⠀⠀⠀⢖⣶⣶⣾⣶⣲⣿⣖⣒⣿⣿⣾⣿⣿⣗⣿⣖⣖⣦⣄⠀⠀⠀⠀⠀⠀⢲⠦⣶⣶⣾⣶⣶⣶⣾⠅⢛⣛⢸⣼⣻⣿⡿⠀⡂⠿⠡⡽⣿⡗⠸⣿⢿⡿⢿⣿⣿⣿⣿⣿⣿⣾⣿⠿⠿⠀⠀⠀⠀⠰⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠓⢶⣚⢒⣓⣛⣛⣟⣓⣒⣲⣶⣾⣶⣾⣷⣶⣶⣿⣶⣦⠀⠀⢀⠀⢒⡖⣺⣶⣶⣶⣿⣿⣿⡃⠀⢐⣃⣻⣿⢿⣿⢀⣁⡨⠼⣿⢿⣧⠘⠵⢬⣝⣻⢿⣿⠟⢿⣿⢿⣿⣯⣭⣭⠄⠀⠀⠀⢐⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⣒⢒⣒⣟⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣓⠊⠀⠀⠀⠀⢀⣒⣲⣒⣒⣒⣒⣳⣻⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣯⣽⣯⠻⣿⣧⠈⠃⠁⠀⠀⠀⠈⠁⠁⢸⣾⣯⡏⢿⠂⠀⠀⠀⠀⡅
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⣒⣛⣻⣿⣿⣿⣿⣟⣿⣞⣟⠂⠀⠀⠀⠀⠀⢐⡀⣒⣲⣶⣶⣶⣶⣿⣿⣿⣿⣿⢿⣿⣿⣿⢸⣿⡯⣿⣿⣿⣯⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⡷⡿⠄⠀⠀⠀⠀⡅
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⢦⣿⣿⣷⣾⣶⣾⡾⠁⠀⠀⠀⠀⠀⠀⢂⡔⣺⣦⣶⣶⣶⣿⣿⣿⣿⣿⢿⣸⣿⣿⣿⢸⣿⣿⣻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣖⣿⣿⡻⠟⠀⠀⠀⠀⠀⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⡒⣚⢷⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠛⠛⠛⠛⠛⠛⠛⢩⠭⢩⣟⠛⢘⠀⢙⡋⣚⡛⢛⣛⡄⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠛⠃⠀⠀⠐⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢀⠸⠌⠄⠁⠀⢽⠀⠘⣿⡶⣗⣚⣓⣛⣦⡀⠀⠀⢀⢀⣴⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠑⠀⠀⠀⠀⠀⠀⠒⠳⠾⠋⠙⠉⠃⠀⠟⢛⡛⡛⣋⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⡄⢀⠀⠀⠀⠠⠄⠚⠔⠾⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣠⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣐⣐⣆⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣠⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣂⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣯⣿⣿⣽⣿⣿⣿⡿⡿⢿⣿⢿⣿⢽⠿⡿⡿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⢿⡏⣹⣿⣽⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣛⣻⣿⣿⣻⣛⣿⣿⣿⣿⣿⣿
⣿⣿⡟⠙⣃⣚⣛⣚⣛⣛⠛⠛⠛⠂⠉⠉⠉⢠⣿⣿⣿⣿⣭⣿⣿⣿⣿⣯⢿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠋⠀⠀⠀⠉⠙⠛⠙⢉⢻⠆⠱⢀⠂⠀⢀⠿⢽⢿⢿⣿⡿⢿⣿⣿⣿⣿⣿⠿⠿⢿⣿⢿⠿⠿⡿⡿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣟⣿⣿⣿⣗⣿⣾⣿⣶⣿⣿⣾⣷⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣿⣿⣯⣯⣯⣿⣭⣿⣯⣯⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣶⣷⣾⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠽⠹⠃⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣶⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⣉⣈⡝⣻⠛⠋⠩⣭⣿⢿⣿⣿⠙⠻⣿⣿⣿⣿⣿⣿⠃⣼⣿⣿⣿⣿⣿⣿⣿⡆⣸⠯⠀⠀⠀⠀⠀⠀⠀⠀
⣷⠶⠀⡖⢠⠀⡀⡀⡠⡀⡀⡠⠀⠠⠆⠀⢐⢀⢀⢀⢀⠀⠠⠒⡄⡀⡀⡆⢀⠀⢀⠀⠀⠀⠀⠐⣂⢒⣐⣓⣒⣺⠀⠀⠈⠉⠉⠩⣉⡅⠀⡍⠁⡉⣩⢹⠛⡟⣼⣶⢾⣹⣿⣿⢿⣿⣿⡟⣿⣟⣛⡋⠀⠀⠀⠀⠀⠀
⠿⠁⠀⠓⠊⠀⠐⠁⠓⠂⠃⠒⠃⠀⠀⠏⠘⠘⠘⠐⠺⠀⠈⠒⠁⠃⠃⠃⠘⠀⠈⠒⠀⠐⠀⢲⡶⣶⣶⣶⣶⣾⡂⣪⣵⣖⠶⡒⣶⣶⠀⣴⡆⡶⠶⢼⠍⠭⣿⣿⣿⣿⣿⣭⣹⣿⣽⣬⠭⠭⠭⡥⠀⠀⠀⠀⠰⡀
⠀⠀⠀⠀⠀⠀⠀⢖⣶⣶⣾⣾⣲⣿⣖⣒⣿⣿⣾⣿⣿⣗⣿⣖⣖⣦⣄⠀⠀⠀⠀⠐⠤⢔⠂⣶⣶⣾⣶⣶⣶⣾⠅⠛⣛⢸⣤⣻⣿⡟⠀⡂⠿⢡⡽⣿⠷⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠷⠀⠀⠀⠀⠰⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠓⢶⣚⢒⣓⣛⣛⣟⣓⣒⣲⣶⣾⣶⣾⣷⣶⣶⣿⣶⣦⠀⠀⠀⠂⠰⣶⣼⣶⣶⣶⣿⣿⣿⡀⠀⢐⣃⣻⡿⢿⣿⢀⣁⡤⢼⣿⢿⣧⠸⠿⢤⣭⣝⣿⣿⠿⢿⡿⢿⣿⣿⣽⣭⠄⠀⠀⠀⢀⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⣒⢒⣒⣛⣿⣿⣷⣿⣿⣿⣿⣿⣿⣟⣓⠊⠀⠀⠀⠀⢀⣒⣲⣒⣒⣒⣒⣳⣻⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣯⣽⣯⠻⣿⣧⠉⠋⠁⠀⠀⠀⠀⠁⠁⢸⣾⣿⡏⢻⠀⠀⠀⠀⠀⡅
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⣲⣛⣻⣿⣿⣿⣿⣟⣿⣞⣚⠂⠀⠀⠀⠀⠀⢀⡒⢂⣲⣶⣶⣶⣶⣿⣿⣿⣿⣿⢻⣿⣿⣿⢸⣿⡿⣿⣿⣿⣯⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⣿⣿⡷⡿⠆⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⢦⣿⣿⣷⣾⣶⣾⡾⠁⠀⠀⠀⠀⠀⠀⢀⡴⣾⣦⣶⣶⣶⣿⣿⣿⣿⡿⢷⣼⣿⣿⢿⢘⣿⡿⣺⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣿⣿⡻⠟⠀⡀⠀⠀⠀⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⠒⣚⢷⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠛⠛⠛⠛⠛⠛⠛⢩⠭⢫⣟⠛⣘⠀⢘⡋⣚⡛⢛⣛⡄⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠛⠃⠀⠀⠒⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠸⠈⠄⠁⠀⠽⠀⠈⣿⡖⣗⣚⣓⣻⣦⠀⠀⠀⢀⢀⣴⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠐⠁⠀⠀⠀⠀⠀⠀⠐⠷⠞⠋⠋⠉⠋⠠⠟⢛⡟⠋⣋⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠄⠀⠀⠀⠀⠠⠄⠚⠐⠾⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣀⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣐⣆⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣠⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣂⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣯⣿⣿⣽⣿⣿⣿⡿⡿⢿⣿⢿⣿⢽⠿⡿⡿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⢿⡏⣹⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣛⣻⣿⣿⣻⣛⣿⣿⣿⣿⣿⣿
⣿⣿⡟⠙⣃⣚⣛⣛⣛⣛⠛⠛⠛⠂⠉⠉⠉⢠⣿⣿⣿⣿⣭⣿⣿⣿⣿⣯⢿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠋⠀⠀⠀⠉⠙⠛⠙⢉⢻⠆⠰⢀⠂⠀⢀⠿⢿⢿⢿⣿⡿⢿⣿⣿⣿⣿⣿⠿⠿⢿⣿⢿⠿⠿⡿⡿⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣟⣿⣿⣿⣗⣿⣾⣿⣶⣿⣿⣾⣷⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣿⣿⣯⣭⣯⣿⣭⣿⣯⣯⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣶⣷⣾⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠽⠹⠂⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣶⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⣁⣈⡝⣻⠛⠋⠩⣽⣿⢿⣿⣿⠙⢛⣿⣿⣿⣿⣿⣿⠇⣾⣿⣿⣿⣿⣿⣿⣿⡆⣹⢧⠀⠀⠀⠀⠀⠀⠀⠀
⣷⡶⠀⡄⢠⠀⡀⠀⡀⡀⡀⡀⠀⠀⠂⠀⢐⢀⢀⢀⢀⠀⢠⠀⡄⡀⡀⡄⢀⢀⢀⠀⠀⠀⠀⠐⢂⣖⣐⣓⣒⣺⠀⠀⡈⠉⠉⠩⣩⡅⠀⡍⢁⢩⣩⢹⠛⠟⣼⣒⣎⣿⣿⡿⢿⣿⣿⠟⣻⣿⣛⡃⠀⠀⠀⠀⠐⠀
⠿⠉⠀⠃⠊⠀⠐⠁⠋⠃⠃⠊⠃⠀⠀⠏⠘⠘⠘⠐⠸⠀⠘⠀⠁⠃⠃⠃⠘⠀⠘⠁⠀⠀⠀⠲⡶⣶⣶⣶⣶⣾⡆⣪⣵⣖⠲⡖⣶⣶⠀⣴⡆⡶⠦⢼⠍⢭⣿⣿⣿⣿⣿⣭⣽⣿⣭⣤⠭⡭⠭⡥⠀⠀⠀⠀⠸⡀
⠀⠀⠀⠀⠀⠀⠀⢖⣶⣶⣾⣶⣲⣾⣖⣲⣶⣿⣾⣿⣷⣖⣷⣖⣖⣦⣄⠀⠀⠀⠀⠀⠠⠐⠶⣶⢶⣾⣶⣶⣶⣾⡅⠛⣛⢸⣦⣻⣿⡟⠀⡊⠿⠡⡽⣿⡗⢹⠿⢿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠰⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠓⢶⣚⢒⣒⣛⣛⣟⣓⣒⣲⣶⣾⣶⣾⣷⣶⣶⣿⣶⣦⠀⠀⠀⠀⢲⣶⣾⣶⣶⣶⣿⣿⣿⡀⠀⢒⣃⣻⡿⢿⣿⢀⣡⡬⢼⢿⢿⣧⠸⠵⢮⣭⣽⣿⡿⠟⢿⣿⢿⣿⣿⣭⣭⠀⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⣒⢒⣒⣟⣿⣿⣷⣿⣿⣿⣿⣿⣿⣟⣓⠊⠀⠀⠀⠀⢀⣒⣲⣒⣒⣒⣒⣻⣻⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣯⣽⣿⠹⢿⣧⠙⠛⠁⠀⠀⠀⠀⠁⠁⢸⣾⣿⡏⢿⠂⠀⠀⠀⠀⡅
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢂⣒⣛⣻⣿⣿⣿⣿⣟⣟⣟⣚⠂⠀⠀⠀⠀⠀⢀⡐⣒⣲⣶⣶⣶⣶⣿⣿⣿⣿⣿⢿⣿⣿⣿⢸⣿⡿⣿⣿⣿⣧⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⡷⡿⠀⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⢦⣿⢿⣷⣾⣶⣾⡾⠁⠀⠀⠀⠀⠀⠀⢀⣴⣾⣦⣶⣶⣶⣿⣿⣿⣿⣿⢿⣸⣿⣿⣿⢸⣿⡿⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣖⣻⣿⡻⠗⠆⡀⠀⠀⠀⢦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⠒⣚⢷⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠓⠛⠛⠛⠛⠛⠛⠛⢩⢭⢹⢿⢛⣚⠀⢉⣉⣚⣛⣛⣛⡄⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠛⠃⠀⠀⠐⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠸⠈⠀⠀⠀⠿⠀⠘⣿⡖⣟⣚⣓⣛⣦⠀⠀⠀⢀⣀⣴⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠒⠷⠞⠛⠙⠉⠉⠀⠟⢛⣟⡚⣋⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠤⠀⢀⠀⠀⠠⠄⠲⠐⠾⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣠⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣐⣀⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣠⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣽⣿⣿⣿⣿⡿⢿⣿⢿⣿⢽⠿⡿⡿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⢿⡏⣹⣿⣽⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣻⣻⣿⣿⣻⣛⣿⣻⣿⣿⣿⣿
⣿⣿⡟⠙⡃⣚⣛⣛⣛⣛⠛⠛⠛⠂⠉⠉⠉⢠⣿⣿⣿⣿⣭⣿⣿⣿⣿⣯⢿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠋⠀⠀⠁⠈⠉⠙⠛⢉⢫⠇⠠⢀⠂⠀⢀⠿⢿⢿⢿⣿⡿⢿⣿⣿⣿⣿⣿⠿⠿⢿⣿⢿⠿⠿⡿⡿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣟⣿⣿⣿⣟⣿⣾⣿⣶⣿⣿⣿⣷⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣿⣿⣯⣯⣯⣿⣭⣿⣯⣯⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣶⣷⣾⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠽⠹⠃⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣶⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣋⣉⡝⣻⠟⠉⠩⣿⣿⢿⣿⣿⠙⢛⣿⣿⣿⣿⣿⣿⡇⣾⣿⣿⣿⣿⣿⣿⣿⡆⣰⠮⠐⠆⠀⠀⠀⠀⠀⠀
⣷⡶⠀⡄⢄⠀⡀⠀⣉⡉⣉⣉⡉⢁⣈⠉⢁⢀⣀⢀⣀⠀⢀⠤⡀⣀⡀⡄⢀⣀⠀⣀⠀⠀⠀⠐⢀⣒⢒⣒⣒⣺⠀⠀⠈⠉⠉⠩⢉⡅⠀⡌⠁⠍⢩⢹⠛⠟⣤⡲⣍⣿⣿⣿⣿⣿⣿⠟⣻⣿⣿⠋⠀⠀⠀⠀⠀⠀
⠿⠁⠀⠃⠘⠀⠐⠃⠫⠁⠃⠈⠂⠀⠀⡚⠘⠘⠘⢐⡸⠀⠐⠀⠃⠃⠃⠃⠘⠀⠘⠉⠀⠀⠀⠒⣦⣶⣶⣶⣶⣾⠀⣠⣵⣖⠶⡒⣶⣶⠀⣴⡆⠶⠦⢼⠍⢨⣿⣿⣿⣿⣿⣅⣿⣿⣭⣤⠭⠭⠭⠥⠀⠀⠀⠀⢈⡀
⠀⠀⠀⠀⠀⠀⠀⢖⣶⣶⣶⣶⣲⣶⣖⣲⣶⣶⣶⣶⣶⣖⣶⣖⣖⣦⣄⠀⠀⠀⠀⠀⠀⠐⠢⣶⣶⣾⣶⣶⣶⣾⠀⢙⣛⢸⣬⣻⣿⡿⠀⡂⠿⠁⡽⣿⡗⢹⠿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠰⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠑⢶⣘⢒⣒⣛⣛⣟⣓⣒⣲⣶⣾⣶⣾⣷⣶⣶⣿⣶⣦⠀⠀⠀⠀⠐⣶⣾⣶⣶⣶⣿⣿⣿⡂⠀⢒⣃⣻⡿⢿⣿⢀⣡⡤⢜⢿⣿⣧⡸⠥⠾⢿⣿⣿⡿⠟⢿⢿⢿⣿⣧⣭⣭⠀⠀⠀⠀⠀⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⣒⢒⣒⣟⣿⣿⣷⣿⣿⣿⣿⣿⣿⣟⣓⠊⠀⠀⠀⠀⢐⣒⣲⣒⣒⣒⣒⣳⣻⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣯⣽⣿⠭⢿⣧⠈⠋⠁⠀⠀⠀⠀⠀⠀⣸⣾⣯⡏⢻⠀⠀⠀⠀⠀⡅
⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢂⣒⣛⣻⣿⣿⣿⣿⣟⣟⣛⣛⠂⠀⠀⠀⢀⠀⢀⡒⣒⣲⣶⣶⣶⣶⣿⣿⣿⣿⣿⢿⣿⣿⣿⢸⣿⡯⣿⣿⣿⣯⡍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⡷⡿⠄⠀⠀⠀⠀⠇
⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⢦⣿⢿⣷⣾⣶⣾⡾⠁⠀⠀⠀⠀⠀⠀⢀⡄⣾⣦⣶⣶⣶⣿⣿⣿⣿⢿⢿⣸⣿⣿⣿⢸⣿⣿⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣔⣿⣿⡻⠗⠂⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⠒⣚⢳⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠓⠛⠛⠛⠛⠛⠛⠛⢩⠭⠸⣿⢛⣚⠀⢈⣍⣚⣋⢛⣛⡄⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠛⠃⠀⠀⢖⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠸⡈⠄⠀⠀⠻⠀⠙⣿⡶⣟⣞⣓⣻⣦⡀⠀⠀⠀⢀⣴⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠐⠉⠀⠀⠀⠀⠀⠀⠒⠷⠾⠛⠍⠙⠉⠀⠟⢛⡟⡚⣋⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠄⠀⢀⠀⠀⠠⠄⠚⠀⠾⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣀⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣐⣐⣆⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣠⣠⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣯⣿⣿⣽⣿⣿⣿⡿⡿⢿⣿⢿⣿⢽⠿⡿⡿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⡿⢿⡏⣹⣿⣽⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣻⣻⣿⣿⣻⣛⣿⣻⣿⣿⣿⣿
⣿⣿⡟⠙⡃⣚⣛⣛⣛⣛⠛⠛⠛⠀⠉⠉⠉⢠⣿⣿⣿⣿⣭⣿⣿⣿⣿⣯⢯⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠋⠀⠀⠀⠈⠉⠙⠙⢉⢫⠆⠠⢀⠂⠀⢀⠿⢿⢿⢿⣿⡿⢿⣿⣿⣿⣿⣿⠿⠿⢿⣿⢿⠿⠿⡿⡿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣟⣿⣿⣿⣟⣿⣾⣿⣶⣿⣿⣿⣷⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣿⣿⣯⣯⣯⣿⣭⣿⣯⣯⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣶⣷⣾⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠽⠙⠂⠀⠀⠀⠀⢸⣿⣿⣿⣿⣻⣿⣿⣶⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢀⣉⡝⣫⠛⠉⠩⢭⣿⢿⣿⣿⠙⠻⣿⣿⣿⣿⣿⡿⢰⣿⣿⣿⣿⣿⣿⣿⣷⢀⣦⣆⡠⠂⠀⠀⠀⠀⠀⠀
⣷⠶⠀⡤⢄⠀⡀⠀⢉⡉⣉⢉⡉⢉⣌⠉⢡⢀⡀⢀⣀⠀⢀⠤⡀⣀⠀⡄⢀⣀⠀⣀⠀⠀⠀⠐⢀⢒⣐⣖⣂⣺⠀⠀⠈⠉⠉⠩⢩⡅⠀⡍⠁⠍⣩⢹⠛⢡⡯⠭⣙⣿⣿⣿⣿⣿⣿⢘⣿⣿⣛⢓⠀⠀⠀⠀⠀⠀
⠿⠁⠀⠧⠜⠀⠠⠃⠫⠅⠇⠡⠂⠀⠀⡒⠸⠸⠸⢠⡼⠀⠐⠤⠃⠇⠇⠇⠸⠀⠘⠤⠀⠀⠀⠰⠶⣶⢶⣶⣶⣾⠁⣪⣵⣖⠶⡒⣲⣶⠀⣴⡆⠶⠤⢼⠭⢼⣿⣿⣿⣿⣿⣅⣼⣿⣥⡬⠭⠭⠭⡭⠀⠀⠀⠀⢈⠀
⠀⠀⠀⠀⠀⠀⠀⢖⣶⣶⣶⣶⣲⣶⣖⣲⣶⣶⣶⣶⣶⣖⣶⣖⣖⣦⣄⠀⠀⠀⠀⠀⠀⠐⡶⣶⣶⣾⣶⣶⣶⣾⠀⢛⣛⢸⣴⣻⣿⡿⠀⡂⠿⣡⠿⣿⠃⢿⣿⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠿⠀⠀⠀⠀⠐⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠑⢶⣘⢒⣓⣛⣛⣟⣓⣒⣲⣶⣾⣶⣾⣷⣶⣶⣿⣶⣦⠀⠀⠀⠀⠐⡴⣾⣶⣶⣶⣿⣿⣿⠀⠀⢒⣃⣻⡿⢿⣿⢀⣁⡤⢽⡿⣿⡄⠼⠧⠽⣿⣿⢿⡿⠿⡿⣿⢿⣿⣏⣭⣭⡀⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⣒⢒⣒⣟⣿⣿⣷⣿⣿⣿⣿⣿⣿⣟⣓⠊⠀⠀⠀⠀⢀⣒⣲⣒⣒⣒⣒⣳⣻⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣯⣽⣝⢿⣿⣄⠙⠋⠁⠀⠀⠀⠀⠁⠀⣾⣾⣯⡟⢛⠀⠀⠀⠀⠀⡅
⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢂⣒⣛⣻⣿⣿⣿⣿⣟⣟⣟⣚⠂⠀⠀⠀⢀⠀⠀⡐⢒⣲⣶⣶⣶⣶⣿⣿⣿⣿⡿⣿⣿⣿⣿⢸⣿⡿⣿⣿⣷⡍⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣶⠻⠂⠀⠀⠀⠀⡄
⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⢦⣿⢿⣷⣾⣶⣾⡾⠁⠀⠀⠀⠀⠀⠀⢀⠄⣾⣦⣶⣶⣶⣿⣿⣿⣿⠿⢠⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣚⣿⣿⡻⠖⠂⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⠒⣚⢳⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠓⠛⠛⠛⠛⠛⠛⠛⠌⠍⠽⠃⠣⣛⠀⠙⡛⣚⡛⠛⣛⡄⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠛⠃⠀⠀⢐⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠁⠀⠀⠩⣿⠀⠘⣿⡖⣓⣞⣓⣓⣦⢀⠀⠀⠀⣀⣤⣦⠀⡀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠁⠁⠀⠀⠀⠀⠀⠀⠐⠑⠞⠋⠋⠙⠀⠸⠟⢛⡟⠙⣋⡇⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠠⢀⠀⠀⠀⠀⢀⠠⠄⠀⠀⠀⠀⠠⠄⠲⠐⠆⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣀⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣐⣐⣆⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣀⣀⣀⣀⣀⣀⣀⣀⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣽⣿⣿⣿⡿⡿⢿⣿⢿⣿⢽⠿⡿⡿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⡿⢿⡏⣹⣿⣽⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣻⣻⣿⣿⣻⣛⣿⣻⣿⣿⣿⣿
⣿⣿⡟⠙⡃⣚⣛⣛⣛⣛⠛⠛⠛⠀⠉⠉⠉⢠⣿⣿⣿⣿⣭⣿⣿⣿⣿⣯⢯⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠋⠀⠀⠀⠈⠁⠙⠙⢉⢻⠆⠰⢀⠂⠀⢀⠿⢽⢿⢿⣿⡿⢿⣿⣿⣿⣿⣿⠿⠿⢿⣿⢿⠿⠿⡿⡿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣟⣿⣿⣿⣟⣿⣾⣿⣶⣿⣿⣿⣷⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣿⣿⣯⣯⣯⣿⣭⣿⣯⣯⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣶⣷⣾⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠽⠙⠂⠀⠀⠀⠀⢸⣿⣿⣿⣿⣻⣿⣿⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣉⣈⡝⣻⠟⠉⠩⣭⣿⢻⣿⣿⠑⢛⣿⣿⣿⣿⣿⡏⣼⣿⣿⣿⣿⣿⣿⣿⡇⢀⡳⠦⠠⠂⠀⠀⠀⠀⠀⠀
⣷⠶⠀⡤⢄⠀⡀⠀⢉⠉⢉⢉⡉⢁⣌⠉⢡⠀⡀⠀⣀⠀⢀⠤⡀⢀⠀⡄⢀⠀⠀⡀⠀⠀⢀⠐⠂⢒⢐⣒⣒⣺⠀⠀⠈⠉⠉⠩⢉⡅⠀⡍⠁⠉⡩⢹⠛⣱⢐⢏⣿⣿⣿⣿⣿⣿⡟⢋⣿⣛⣛⠃⠀⠀⠀⠀⠐⠀
⠿⠁⠀⠧⠜⠀⠡⠃⠧⠅⠇⠥⠆⠀⠀⡒⠸⠸⠸⢠⢼⠀⠐⠤⠃⠇⠇⠇⠸⠀⠘⠤⠀⠀⠀⣴⡦⣶⢶⣶⣶⣾⠄⣪⣵⣖⠶⡖⣶⣶⠀⣴⡆⠶⠤⢼⠅⢽⣿⡿⣿⣿⣷⣹⣿⣿⣥⡭⠭⠭⠭⡅⠀⠀⠀⠀⢈⡀
⠀⠀⠀⠀⠀⠀⠀⢖⣶⣶⣶⣶⣲⣶⣖⣒⣶⣶⣶⣶⣶⣖⣶⣖⣖⣦⣀⠀⠀⠀⠀⠀⠀⠐⠂⣲⣶⣾⣶⣶⣶⣾⠅⢛⣛⢸⣤⣻⣿⡿⠀⡂⠿⢡⡽⣽⠩⡿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠯⠀⠀⠀⠀⠸⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠑⢶⣘⠒⣓⣛⣛⣟⣓⣒⣲⣶⣾⣶⣾⣷⣶⣶⣿⣶⣦⠀⠀⠀⠀⠐⡶⣾⣶⣶⣶⣿⣿⣿⠀⠀⢒⣃⣻⡿⢿⣿⢀⣥⡬⢽⣿⣿⡆⡷⠤⣽⣿⣿⣿⡿⠻⣿⣿⢿⣿⣅⣭⣭⠀⠀⠀⠀⠐⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⣒⢒⣒⣟⣿⣿⣷⣿⣿⣿⣿⣿⣿⣟⣓⠊⠀⠀⠀⠀⠀⢒⣲⣒⣒⣒⣒⣳⣻⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣯⣽⣟⠽⣿⡌⠿⠊⠁⠀⠀⠀⠈⠁⠀⣾⣾⣯⡋⢿⠀⠀⠀⠀⠀⡅
⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢂⣒⣛⣻⣿⣿⣿⣿⣟⣟⣟⣚⠂⠀⠀⠀⠀⠀⢀⠀⢒⣲⣶⣶⣶⣶⣿⣿⣿⣿⡿⣿⣿⣿⣿⢸⣿⡿⣿⣿⣿⣍⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⠻⠀⠀⠀⠀⠀⡅
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠲⢦⣿⣿⣷⣾⣶⣾⡾⠁⠀⠀⠀⠀⠀⠀⢀⡶⢾⣦⣶⣶⣶⣿⣿⣿⣿⠿⠧⣿⣿⣿⣿⢸⣿⡿⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣚⣿⣿⡻⠋⠀⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⠒⣚⢷⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠛⠛⠛⠛⠛⠛⠛⠭⠅⢾⡟⢃⣛⠀⢉⡋⢚⡛⢛⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠛⠃⠀⠀⠖⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠉⠀⠀⠈⢿⠀⠘⣿⡖⣓⣒⣓⣻⣦⢀⠀⠀⠀⣀⣤⡦⠀⡀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠁⠀⠀⢀⠀⠀⠀⠒⠷⠞⠋⠋⠙⠀⠘⠟⢛⡟⢛⣛⡇⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⣀⠠⠄⠀⠀⠀⠀⠠⠄⠪⠂⠆⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣀⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣆⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⢀⣀⣀⣀⣀⣀⣀⣀⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣂⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣯⣿⣿⢽⣿⣿⣿⡿⡿⢿⣿⢿⣿⢽⠿⡿⡿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⡿⢿⡏⣹⣿⣽⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣻⣻⣿⣿⣻⣛⣿⣻⣿⣿⣿⣿
⣿⣿⡟⠙⡃⣚⣛⣛⣛⣛⠛⠛⠛⠂⠉⠉⠉⢠⣿⣿⣿⣿⣭⣿⣿⣿⣿⣯⢯⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠋⠀⠀⠀⠈⠉⠙⠙⢙⢻⠆⠡⢀⠂⠀⢀⠿⢿⢿⢿⣿⡿⢿⣿⣿⣿⣿⣿⠿⠿⢿⣿⢿⠿⠿⡿⡿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣟⣿⣿⣿⣟⣿⣾⣿⣶⣿⣿⣿⣷⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣿⣿⣯⣯⣯⣿⣭⣿⣯⣯⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣶⣷⣾⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠽⠹⠂⠀⠀⠀⠀⢸⣿⣿⣿⣿⣻⣿⣿⣲⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣈⣉⡝⣫⠛⠉⢩⢭⣿⢻⣿⣿⠑⠻⣿⣿⣿⣿⣿⣿⢃⣾⣿⣿⣿⣿⣿⣿⣿⡆⣸⠊⠠⠂⠀⠀⠀⠀⠀⠀
⣷⡶⠀⡀⢀⠀⠀⠀⠉⠉⠉⠉⠉⢉⠌⠉⠡⠀⠀⠀⠀⠀⢀⠀⡀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠐⢀⣒⣐⣗⣒⣺⠀⠀⠈⠉⠉⠩⢉⡅⠀⡍⠁⠍⢩⠹⠛⢟⣶⣒⣍⣿⣿⡿⣿⣿⣿⠟⣹⣟⣛⡃⠀⠀⠀⠀⠀⠀
⠿⠁⠀⠇⠜⠀⠡⠃⠧⠅⠇⠵⠆⠀⠀⡖⠸⠸⠸⠨⢼⠀⠐⠤⠃⠇⠇⠇⠸⠀⠘⠤⠀⢐⠀⠐⡲⣶⢶⣶⣶⣾⡀⣪⣵⣖⠶⡒⣶⣶⠀⣴⡆⠶⠦⢼⠍⢭⣿⣿⢿⣿⣿⣤⣿⣿⣭⣤⠭⠭⠭⡥⠀⠀⠀⠀⢨⡀
⠀⠀⠀⠀⠀⠀⠀⢖⣶⣶⣶⣶⣲⣶⣖⣲⣶⣶⣶⣶⣶⣖⣶⣖⣖⣦⣄⠀⠀⠀⠀⠀⠀⠐⠲⣰⣶⣾⣶⣶⣶⣾⠀⠚⣛⢸⣴⣻⣿⡿⠀⡂⠿⢁⡽⣿⡇⢸⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠿⠀⠀⠀⠀⠘⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠑⢶⣘⠒⣓⣛⣛⣟⣓⣒⣲⣶⣾⣶⣾⣷⣶⣶⣿⣶⣦⠀⠀⢀⠀⣐⣀⣾⣶⣶⣶⣿⣿⣿⡀⠀⠒⣃⣻⡿⢿⣿⢠⣥⡤⢼⢿⣿⣷⠸⠵⠬⣭⣿⣿⡿⠟⢿⣿⢿⣿⣯⣭⣅⠀⠀⠀⠀⠀⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⣒⠒⣒⣗⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣓⠊⠀⠀⠀⠐⢀⡒⣒⣒⣒⣒⣒⣳⣻⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣯⣽⣿⠽⢿⣧⠈⠋⠁⠀⠀⠀⠈⠀⠀⢸⣾⣿⡋⢻⠄⠀⠀⠀⠀⡅
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢂⣒⣚⣻⣿⣿⣿⣿⣟⣟⣟⣚⠂⠀⠀⠀⠀⠀⠀⡀⣒⣲⣶⣶⣶⣶⣿⣿⣿⣿⡿⢻⣿⣿⣿⢸⣿⡿⣿⣿⣿⣷⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⡷⡿⠀⠀⠀⠀⠀⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⢦⣿⣿⣷⣾⣶⣾⡾⠁⠀⠀⠀⠀⠀⠀⢀⠴⣼⣦⣶⣶⣶⣿⣿⣿⣿⡿⢗⣽⣿⣿⢿⠸⣿⡿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣔⣿⣿⡻⠗⠄⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⠒⣚⢷⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠛⠛⠛⠛⠛⠛⠛⢩⠭⠱⣟⢝⣪⠀⢈⣉⢚⡛⢛⣻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠛⠃⠀⠀⠔⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠸⠈⠀⠁⠀⠿⠀⠙⣿⡖⣒⣒⣓⣻⣦⠀⠀⠀⢀⣀⣴⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠒⠷⠾⠋⠉⠙⠋⠠⠟⢛⡟⠜⣋⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠐⠄⠀⠀⠀⠀⢀⠠⠄⠀⢀⠀⠀⠠⠄⠺⠐⠎⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣀⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣐⣀⣃⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣂⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣯⣿⣿⣽⣿⣿⣿⡿⡿⢿⣿⢿⣿⢽⠿⡿⡿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢟⣽⢿⣿⣿⣯⣟⠿⣿⣿⡿⢿⡏⣹⣿⣽⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣻⣻⣿⣿⣻⣛⣿⣻⣿⣿⣿⣿
⣿⣿⡟⠙⡃⣚⣛⣛⣛⣛⠛⠛⠛⠂⠉⠉⠉⢠⣿⣿⣿⣿⣭⣿⣿⣿⣿⣯⢯⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠋⠀⠀⠀⠈⠉⠋⠙⢉⢻⠆⠠⢀⠂⠀⢀⠿⢿⢿⢿⣿⡿⢿⣿⣿⣿⣿⣿⠿⠿⢿⣿⢿⠿⠿⡿⡿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣟⣿⣿⣿⣟⣿⣾⣿⣶⣿⣿⣿⣷⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣿⣿⣯⣭⣯⣿⣭⣿⣯⣯⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣶⣷⣾⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠽⠹⠃⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣶⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠙⣁⣉⡝⣻⠟⠋⠹⣽⣿⢻⣿⣿⠑⠻⣿⣿⣿⣿⣿⣿⡏⠸⠿⣿⣿⣿⣿⣿⣿⡆⠹⡏⠀⠀⠀⠀⠀⠀⠀⠀
⣷⠶⠚⡀⡀⠀⠀⠐⠛⠛⠛⠛⠛⠛⠚⠛⠓⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⢐⢀⢒⢐⣗⣒⣺⠀⠠⠈⠉⠉⠩⢩⡅⠀⡍⠡⢍⠉⢹⠛⢟⣾⣭⣿⣿⣿⣿⣻⣿⣿⠗⢻⣟⣛⣓⠀⠀⠀⠀⠀⠀
⠿⠁⠀⠇⠸⠀⠡⠆⠟⠃⠏⠙⠅⠈⠁⠶⠸⠸⠹⠨⢹⠀⠸⠀⠇⠇⠇⠇⠸⠉⠰⠛⠀⠐⠂⠰⡲⣶⢶⣶⣶⣾⡃⣨⣵⣖⠶⡒⣶⣶⠀⣴⡆⠶⠴⢼⠍⢩⣿⡿⢿⣿⣿⣵⣮⣿⣯⣤⠭⠭⠭⡍⠀⠀⠀⠀⢈⡀
⠀⠀⠀⠀⠀⠀⠀⢄⡤⣤⣤⣤⣠⣤⣄⣡⣤⣤⣤⣬⣥⣄⣤⣄⣄⣤⣄⠀⠀⠀⠀⠀⠠⠐⠢⣴⣶⣾⣶⣶⣶⣾⡆⢙⣛⢸⣬⣻⣿⡿⢀⡂⠿⢡⣿⣿⠗⢺⡟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠿⠀⠀⠀⠀⠰⡅
⠀⠀⠀⠀⠀⠀⠀⠀⠓⢶⣘⠓⣓⣛⣛⣟⣓⣖⣲⣶⣾⣶⣾⣷⣶⣶⣿⣶⣦⠀⠀⠀⠒⢒⣶⣾⣶⣶⣶⣿⣿⣿⡁⠀⢒⣃⣻⡿⢿⣿⢀⣡⡤⢸⣿⣿⣇⠸⣭⠷⣦⣭⣿⡿⠟⢿⢿⢿⣿⣇⣽⣥⠀⠀⠀⠀⠀⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⣒⢒⣒⣟⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣓⠊⠀⠀⠀⠀⢃⣂⣲⣒⣒⣒⣒⣳⣻⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣯⣽⣿⠽⣿⣄⠛⠋⠁⠀⠀⠀⠈⠀⠀⣼⣾⣯⡏⢻⠀⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢂⣒⣚⣻⣿⣿⣿⣿⣟⣟⣛⣞⠂⠀⠀⠀⠀⠐⢂⡀⢐⣲⣶⣶⣶⣶⣿⣿⣿⣿⡿⣿⣿⣿⣿⢸⣿⡿⣿⣿⣿⣌⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⡷⡻⠀⠀⠀⠀⠀⡅
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⢦⣿⣷⣷⣾⣶⣾⡾⠁⠀⠀⠀⠀⠀⡀⠀⠆⣸⣦⣶⣶⣶⣿⣿⣿⣿⡿⠇⣹⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣘⣿⣿⡻⠗⠀⡀⠀⠀⠀⠤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⠒⣚⢷⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠛⠛⠛⠛⠛⠛⠛⠁⠅⢿⡟⠋⣛⠀⢙⡛⢚⡛⠛⣻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠛⠃⠀⠀⠐⠂⢀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢀⠨⠈⠀⠀⠈⣿⠀⠘⣿⡖⣓⣖⣓⣻⣦⢀⠀⠀⠀⣀⣤⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⠀⠀⠀⠀⡀⠑⠀⠀⢀⠀⠀⠀⢓⠓⠾⠋⠋⠙⠁⠸⠟⢛⡟⠙⣋⡇⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢀⣀⠠⠤⠀⠀⠀⠐⠠⠄⠲⠒⠆⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣠⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣀⣀⣀⣀⣀⣀⣀⣀⣅⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣂⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣽⣿⣿⣿⣿⡿⢿⣿⢿⣿⢽⠿⡿⠿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⣿⠿⡏⣹⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣻⣻⣿⣿⣻⣛⣿⣻⣿⣿⣿⣿
⣿⣿⡟⠹⣃⣚⣛⣛⣛⣛⠛⠛⠛⠂⠉⠉⠉⢠⣿⣿⣿⣿⣯⣿⣿⣿⣿⣯⢿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠋⠀⠀⠈⠈⠉⠙⠉⢙⢳⠆⠠⢀⠂⠀⢀⠿⢽⢿⢿⣿⡿⢿⣿⣿⣿⣿⣿⠿⠿⢿⣿⢿⠿⠿⡿⡿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣟⣿⣿⣿⣟⣿⣾⣿⣶⣿⣿⣿⣷⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣿⣿⣯⣯⣯⣿⣭⣿⣯⣯⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣶⣷⣾⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠽⠙⠂⠀⠀⠀⠀⢸⣿⣿⣿⣿⣻⣿⣿⣶⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣉⡝⣻⠟⠙⠩⢭⣿⢿⣿⣿⠑⠻⣿⣿⣿⣿⣿⣿⡏⠘⠿⣿⣿⣿⣿⣿⣿⡆⣻⡆⠀⠀⠀⠀⠀⠀⠀⠀
⣷⠶⠒⣀⡀⠀⠀⠐⠛⠛⠛⠛⠛⠛⠚⠛⢓⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠐⣀⠒⢐⣒⣒⣺⠀⠀⠈⠉⠉⠩⢉⡅⠀⡌⠀⠉⢩⢹⠛⢿⣾⣥⣿⣿⣿⡟⣻⣿⣿⠟⢻⣿⡛⡃⠀⠀⠀⠀⠀⠀
⠿⠁⠀⣇⠸⠀⢡⠆⢟⠃⠏⢊⠅⠈⠉⠴⢸⠸⢹⠈⣹⠀⠨⣀⠇⠏⡆⠇⢸⠉⠰⣛⠀⢐⠀⠰⡶⣶⢶⣶⣶⣾⠀⣨⣵⣖⠶⡒⣶⣶⠀⣴⡆⠶⠤⢼⠅⢭⣿⡿⢿⣿⣿⣵⣯⣿⣯⣤⠭⠭⠭⡥⠀⠀⠀⠀⢈⡀
⠀⠀⠀⠀⠀⠀⠀⢄⡤⣤⣤⣤⣠⣤⣄⣡⣤⣤⣤⣬⣥⣄⣤⣄⣄⣤⣄⠀⠀⠀⠀⠀⠀⠲⠒⣶⢶⣾⣶⣶⣶⣾⠅⢛⣛⢸⣼⣻⣿⡟⠀⡂⠿⢡⣽⣿⠷⢸⢟⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠿⠀⠀⠀⠀⠐⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠑⢶⣘⠒⣒⣛⣛⣟⣓⣒⣲⣶⣾⣶⣾⣷⣶⣶⣿⣶⣦⠀⠀⠀⠀⣒⡶⣾⣶⣶⣶⣿⣿⣿⡀⠀⢒⣃⣻⡿⢿⣿⢀⣡⡤⠼⣿⣿⣇⠈⢯⣽⣿⣾⣿⡿⠿⢿⠿⢿⣿⣇⣭⣭⠀⠀⠀⠀⢀⠆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⣒⢒⣒⣗⣿⣿⣷⣿⣿⣿⣿⣿⣿⣟⣓⠊⠀⠀⠀⠀⢀⣒⣲⣒⣒⣒⣒⣳⣻⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣯⣽⣮⠹⣿⣧⡈⠉⠁⠀⠀⠀⠈⠀⠀⣾⣾⣯⡋⢻⠀⠀⠀⠀⠀⡅
⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢂⣒⣛⣻⣿⣿⣿⣿⣟⣟⣟⣚⠂⠀⠀⠀⠀⠀⢀⡀⣒⣲⣶⣶⣶⣶⣿⣿⣿⣿⡿⢿⣿⣿⣿⢸⣿⡿⣿⣿⣿⣬⡙⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣶⠻⠀⠀⠀⠀⠀⡅
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⢦⣿⣷⣷⣾⣶⣾⡾⠁⠀⠀⠀⠀⠀⠀⢠⠴⣾⣦⣶⣶⣶⣿⣿⣿⡿⡿⠇⢽⣿⣿⢿⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⣿⣿⡻⠇⠀⡀⠀⠀⠀⠤
⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⠒⣚⢷⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠓⠛⠛⠛⠛⠛⠛⠛⢡⠅⢿⡟⢏⣛⠀⢙⡉⣚⡛⢛⣛⡄⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠛⠃⠀⠀⠔⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢀⠨⠉⠐⠀⠈⢿⠀⠘⣿⡖⣓⣒⣓⣛⣦⢀⠀⠀⠀⣀⣤⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⡀⠁⠀⠀⢀⠀⠀⠀⠒⠗⠞⠋⠋⠙⠉⠸⠟⢛⡟⠜⣋⡇⠀⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠄⠀⠀⠀⠀⠠⠄⠒⠀⠂⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣀⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣐⣀⣆⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⢀⣀⣀⣀⣀⣀⣀⣀⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣂⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣯⣿⣿⢽⣿⣿⣿⡿⡿⢿⣿⢿⣿⢽⠿⡿⠿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⡿⢿⡏⣹⣿⣽⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣻⣻⣿⣿⣻⣛⣿⣻⣿⣿⣿⣿
⣿⣿⡟⠙⡃⣚⣛⣛⣛⣛⠛⠛⠛⠂⠉⠉⠁⢠⣿⣿⣿⣿⣭⣿⣿⣿⣿⣯⢯⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠋⠀⠀⠀⠈⠉⠙⠙⢉⢻⠖⠠⢀⠂⠀⢀⠿⢽⢿⢿⣿⡿⢿⣿⣿⣿⣿⣿⠿⠿⢿⣿⢿⠿⠿⡿⡿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣟⣿⣿⣿⣟⣿⣾⣿⣶⣿⣿⣿⣷⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣿⣿⣯⣭⣯⣿⣭⣿⣯⣯⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣶⣷⣾⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠽⠙⠂⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣶⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⣈⢉⡝⣻⠛⠉⠩⢭⣿⢻⣿⣿⠙⠛⣿⣿⣿⣿⣿⣿⡟⡰⣿⣿⣿⣿⣿⣿⣿⣇⢀⡖⠐⠀⠀⠀⠀⠀⠀⠀
⣷⢶⠒⣀⡀⠀⠀⠐⠛⠛⠛⠛⠛⠛⡚⠛⢓⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠐⢒⣒⣒⣺⠀⠀⡈⠉⠉⠩⢉⡅⠀⡌⠁⡉⣩⢹⠛⢿⣱⣞⣓⣾⣿⣿⡿⣿⣿⡟⢛⣿⣛⡂⠀⠀⠀⠀⠐⠀
⠿⠁⠀⣇⡸⠀⢁⠆⢎⡂⡏⣊⡅⠈⠉⠤⢸⢸⢱⢀⣹⠀⠨⣀⠇⡏⡆⡇⢸⠉⠰⣉⠀⠀⠀⠲⡰⣶⣶⣶⣶⣾⡂⣨⣵⣖⢶⡒⣶⣶⠀⣴⡆⠶⠦⢼⠍⠬⣿⣿⣿⣿⣿⣽⣭⣿⣽⣥⠭⠭⠭⡅⠀⠀⠀⠀⢠⡀
⠀⠀⠀⠀⠀⠀⠀⢄⡤⣤⣤⣤⣠⣤⣄⣡⣤⣤⣤⣬⣭⣄⣤⣄⣄⣤⣄⠀⠀⠀⠀⠀⠀⠐⠦⣶⣶⣾⣶⣶⣶⣾⡇⣚⣛⢸⣴⣹⣿⡟⠀⡂⠿⠡⡽⣿⡷⠳⣿⠿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠯⠀⠀⠀⠀⠐⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠓⢶⣚⢒⣓⣛⣛⣟⣓⣒⣲⣶⣾⣶⣾⣷⣶⣶⣿⣶⣦⠀⠀⠀⠀⠐⣶⣺⣶⣶⣶⣿⣿⣿⡃⠀⢒⣃⣻⡿⢿⣿⢀⣡⡬⢜⢿⣿⣷⡀⠽⣽⠶⢭⣿⡿⠟⢿⡿⢿⣿⣿⣭⣭⠀⠀⠀⠀⠀⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⣒⢒⣒⣟⣿⣿⣷⣿⣿⣿⣿⣿⣿⣟⣓⠊⠀⠀⠀⠀⢐⣒⣲⣒⣒⣒⣒⣳⣻⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣯⣽⣿⠽⢿⣷⡄⠉⠁⠀⠀⠀⠈⠁⠁⢸⣾⣯⡏⢻⠁⠀⠀⠀⠀⡅
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢂⣒⣛⣻⣿⣿⣿⣿⣟⣟⣟⣚⠂⠀⠀⠀⠀⠐⠀⠐⢒⣲⣶⣶⣶⣶⣿⣿⣿⣿⣿⢿⣿⣿⣿⢸⣿⡿⣿⣿⣿⣷⡍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠽⣿⣿⡷⡟⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⢦⣿⣿⣷⣾⣶⣾⡾⠁⠀⠀⠀⠀⠀⠀⢀⡖⢺⣦⣶⣶⣶⣿⣿⣿⣿⣿⢿⣸⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣔⣻⣿⡻⠇⠀⡀⠀⠀⠀⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⠒⣚⢷⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⠛⢩⠭⠩⣷⢛⣚⠀⢉⣋⣚⡛⢛⣛⡄⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠛⠃⠀⠀⠔⠂⠄⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠸⠌⠄⠁⠀⠿⠀⠚⣟⡖⣗⣚⣓⣻⣦⡀⠀⠀⢀⢀⣴⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠂⠀⠀⡀⠀⠀⢐⠷⠞⠫⠛⠙⠋⠀⠟⢛⡟⠋⣋⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠠⠄⠀⠀⠀⠀⠠⠔⠺⠔⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣠⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣐⣐⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣂⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣽⣿⣿⣿⣿⡿⢿⣿⢿⣿⢽⠿⡿⡿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⡿⢿⡏⣹⣿⣽⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣻⣻⣿⣿⣻⣛⣿⣻⣿⣿⣿⣿
⣿⣿⡟⠙⡃⣚⣛⣛⣛⣛⠛⠛⠛⠀⠉⠉⠉⢠⣿⣿⣿⣿⣭⣿⣿⣿⣿⣯⢿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠋⠀⠀⠁⠈⠉⠙⠛⢉⢫⠎⠠⢀⠂⠀⢀⠿⢿⢿⢿⣿⡿⢿⣿⣿⣿⣿⣿⠿⠿⢿⣿⢿⠿⠿⡿⡿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣟⣿⣿⣿⣟⣿⣾⣿⣶⣿⣿⣿⣷⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣿⣿⣯⣭⣯⣿⣭⣿⣯⣭⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣶⣷⣾⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠽⠹⠂⠀⠀⠀⠀⢸⣿⣿⣿⣿⣻⣿⣿⣶⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⣈⣉⡝⣻⠛⠋⠩⢭⣿⢻⣿⣿⠙⠻⣿⣿⣿⣿⣿⣿⢠⣿⣿⣿⣿⣿⣿⣿⣿⢀⣰⠦⠰⠄⠀⠀⠀⠀⠀⠀
⣷⡶⠒⣀⠀⠀⠀⠐⠛⠛⠛⠛⠛⠛⡚⠛⢓⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠐⢀⢒⢐⣒⣒⣺⠀⠀⠈⠉⠉⠩⣉⡅⠀⡉⠁⢩⣩⢹⠛⢏⡉⠍⢻⣿⣿⣿⣿⣿⣿⠚⣽⣟⣛⠃⠀⠀⠀⠀⠀⠀
⠿⠁⠀⣇⡸⠀⢂⠆⣎⡂⡎⣊⡄⠈⠁⡤⢰⢰⢱⢐⣰⠀⠨⣀⠇⡆⡆⡇⢰⠀⠰⣀⠀⠀⠀⠶⡖⣶⢶⣶⣶⣾⡂⣨⣵⣖⠲⡒⣶⣶⠀⣴⡆⠶⠤⢼⠍⢸⣿⣿⣽⣿⣯⣀⣭⣿⢥⣬⠭⠭⠭⡥⠀⠀⠀⠀⢐⠀
⠀⠀⠀⠀⠀⠀⠀⢄⣤⣤⣤⣤⣠⣤⣄⣡⣤⣤⣤⣤⣬⣄⣤⣤⣄⣤⣄⠀⠀⠀⠀⠀⠀⠐⠲⣶⣶⣾⣶⣶⣶⣾⠀⠚⣛⢸⣴⣻⣿⡟⠀⡂⠿⢡⡿⣿⠗⢿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠰⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠓⢦⣘⢒⣓⣛⣛⣟⣓⣒⣲⣶⣾⣶⣾⣷⣶⣶⣿⣶⣦⠀⠀⠀⠀⠐⡶⣾⣶⣶⣶⣿⣿⣿⠀⠀⢒⣃⣻⡿⢿⣿⢀⣁⡤⢼⣿⢿⣧⠸⢤⡙⠛⢿⣿⡿⠿⢿⣿⢿⣿⣇⣽⣭⠄⠀⠀⠀⠀⠆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⣒⢒⣒⣛⣿⣿⣷⣿⣿⣿⣿⣿⣿⣟⣓⠊⠀⠀⠀⠀⢀⡒⣒⣒⣒⣒⣒⣳⣻⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣯⣽⣯⠻⢿⡏⠮⠉⠁⠀⠀⠀⠀⠁⠀⣾⣾⣯⠋⢻⠀⠀⠀⠀⠀⡅
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢂⣒⣚⣻⣿⣿⣿⣿⣟⣟⣟⣚⠂⠀⠀⠀⠀⠀⢀⡒⣒⣲⣶⣶⣶⣶⣿⣿⣿⣿⣿⢿⣿⣿⣿⢸⣿⡿⣿⣿⣿⣯⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣷⡿⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⢦⣿⣿⣷⣾⣶⣾⡾⠁⠀⠀⠀⠀⠀⠀⢀⢶⣾⣦⣶⣶⣶⣿⣿⣿⣿⣿⢯⣼⣿⣿⣿⢸⣿⡿⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⣿⣿⡻⠗⠂⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⠒⣚⢳⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠓⠛⠛⠛⠛⠛⠛⠛⢩⠭⢩⣟⠙⣚⠀⢙⡉⣚⡛⢛⣛⡆⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠛⠃⠀⠀⠐⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠸⠌⠀⠁⠀⢽⠀⠚⣿⡖⣗⣚⣓⣛⣦⠀⠀⠀⠀⣀⣤⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠐⠐⠀⠀⠠⠀⠀⠀⠒⠷⠾⠉⠋⠉⠋⠀⠟⢛⡟⠘⣋⣟⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⢀⠀⠄⠀⠀⠀⠀⠠⠄⠒⠐⠎⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣠⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣂⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣯⣿⣿⣽⣿⣿⣿⣿⡿⢿⣿⢿⣿⢽⠿⡿⡿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⡿⢿⡏⣹⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣻⣻⣿⣿⣻⣛⣿⣻⣿⣿⣿⣿
⣿⣿⡟⠙⡃⣚⣛⣛⣛⣛⠛⠛⠛⠀⠉⠉⠉⢠⣿⣿⣿⣿⣭⣿⣿⣿⣿⣯⢿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠋⠀⠀⠀⠈⠉⠙⠛⢙⢻⠆⠡⢀⠂⠀⢀⠿⢿⢿⢿⣿⡿⢿⣿⣿⣿⣿⣿⠿⠿⢿⣿⢿⠿⠿⡿⡿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣟⣿⣿⣿⣟⣿⣾⣿⣶⣿⣿⣿⣷⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣿⣿⣯⣭⣯⣿⣭⣿⣯⣯⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣶⣷⣾⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠽⠙⠂⠀⠀⠀⠀⢸⣿⣿⣿⣿⣻⣿⣿⣶⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢂⣈⡝⣻⠛⠉⠩⢽⣿⢿⣿⣿⠙⠛⣿⣿⣿⣿⣿⣿⠃⣸⣿⣿⣿⣿⣿⣿⣿⡇⣱⣮⠠⠀⠀⠀⠀⠀⠀⠀
⣷⡶⠖⠀⠀⠀⠀⠰⠿⠿⠛⠿⠿⠟⠚⠛⠓⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢀⢒⢐⣓⣂⣺⠀⠀⠈⠉⠉⠩⢉⡅⠀⠈⠁⠍⣩⢹⠛⣿⣰⣟⡺⢟⣿⣿⡿⣿⣿⡇⣻⣟⣛⡃⠀⠀⠀⠀⠀⠀
⠿⠁⠀⡇⠰⠀⢂⠄⡦⠆⡆⠢⡂⠐⠀⣤⢰⢰⢰⢐⢰⠀⢨⠀⡆⡆⡆⡇⢰⠐⢰⠴⠀⠐⠐⠲⠂⣶⢶⣶⣶⣾⠂⣨⣵⣖⠲⡒⣶⣶⠀⣴⡆⡶⠤⢼⠍⠭⣿⣿⣿⣿⣿⣿⣭⣻⣽⣥⠭⠭⠭⡅⠀⠀⠀⠀⢨⡀
⠀⠀⠀⠀⠀⠀⠀⢀⡀⣀⣀⣀⣀⣀⣀⣂⣀⣀⣀⣐⣊⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠐⠂⣲⢶⣾⣶⣶⣶⣾⠅⢛⣛⢸⣤⣻⣿⡟⠀⡂⠿⢁⡽⣿⡷⠹⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠏⠀⠀⠀⠀⠐⡅
⠀⠀⠀⠀⠀⠀⠀⠀⠒⢦⣘⠒⣓⣛⣛⣟⣓⣒⣲⣶⣾⣶⣾⣷⣶⣶⣿⣶⣦⠀⠀⠀⠀⢐⣢⣾⣶⣶⣶⣿⣿⣿⡄⠐⠒⣃⣻⡿⢿⣿⢀⣡⡬⢼⣿⢿⣧⡀⠽⠧⢬⣭⣻⣿⠿⠻⡿⢿⣿⣿⣽⣭⠀⠀⠀⠀⠐⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⣒⠒⣒⣛⣿⣿⣗⣿⣿⣿⣿⣿⣿⣟⣓⠊⠀⠀⠀⠀⢀⣂⣲⣒⣒⣒⣒⣳⣻⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣯⣽⣯⠻⣿⣷⡀⠉⠁⠀⠀⠀⠀⠁⠁⠈⣾⣿⡏⢿⠀⠀⠀⠀⠀⡄
⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢂⣒⣚⣻⣿⣿⣿⣿⣗⣟⣟⣚⠂⠀⠀⠀⠀⠀⢀⡀⢒⣲⣶⣶⣶⣶⣿⣿⣿⣿⣿⢿⣿⣿⣿⢸⣿⡿⣿⣿⣿⣯⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠜⣿⣿⣷⡿⠀⠀⠀⠀⠀⡁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⢦⣿⢿⣷⣾⣶⣾⡾⠁⠀⠀⠀⠀⠀⠀⢀⠶⣾⣦⣶⣶⣶⣿⣿⣿⡿⠿⠇⣸⣿⣿⣿⢸⣿⣿⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣮⣿⣿⡻⠿⠀⡀⠀⠀⠀⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⠒⣚⢳⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠓⠛⠛⠛⠛⠛⠛⠛⢡⠭⢫⠿⠙⣘⠀⢙⡋⣛⡛⢛⣛⡆⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠚⠃⠀⠀⢔⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠈⠄⠁⠀⢽⠀⠘⣿⡖⣖⣚⣓⣚⣦⡀⠀⠀⠀⡀⣴⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⠀⠀⠀⠀⠐⠑⠀⠀⠀⠀⠀⠀⠒⠷⠿⠋⠛⠙⠃⠀⠟⢛⡟⡓⢋⣟⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⢀⠀⡄⠀⢀⠀⠀⠠⠄⠺⠂⠺⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣠⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣄⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣽⣿⣿⣿⣿⡿⢿⣿⢿⣿⢽⠿⡿⡿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⡿⢿⡏⣹⣿⣽⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣻⣻⣿⣿⣻⣛⣿⣻⣿⣿⣿⣿
⣿⣿⡟⠙⡃⣚⣛⣛⣛⣛⠛⠛⠛⠀⠉⠉⠉⢠⣿⣿⣿⣿⣭⣿⣿⣿⣿⣯⢿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠋⠀⠀⠁⠈⠉⠙⠙⢉⢻⠆⠠⢀⠂⠀⢀⠿⢿⢿⢿⣿⡿⢿⣿⣿⣿⣿⣿⠿⠿⢿⣿⢿⠿⠿⡿⡿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣟⣿⣿⣿⣟⣿⣾⣿⣶⣿⣿⣿⣷⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣿⣿⣯⣯⣯⣿⣭⣿⣯⣯⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣶⣷⣾⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠽⠙⠂⠀⠀⠀⠀⢸⣿⣿⣿⣿⣻⣿⣿⣶⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠒⣉⣉⡝⣻⠛⠉⠩⢽⣿⢿⣿⣿⠑⢛⣿⣿⣿⣿⣿⣿⠇⢰⣿⣿⣿⣿⣿⣿⣿⣇⢰⡦⠀⠀⠀⠀⠀⠀⠀⠀
⣷⡶⠾⠀⠀⠀⠀⠰⠿⠿⠿⠿⠿⠟⠺⠿⠷⠤⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢀⢒⢐⣒⣒⣺⠀⠀⠈⠉⠉⠩⢉⡅⠀⠈⠁⠍⢩⢹⠛⣿⢢⣿⣻⠿⣽⣿⣿⣿⣿⣿⢿⣿⣛⡃⠀⠀⠀⠀⠀⠀
⠿⠁⠀⡇⢱⠀⢂⡄⡶⠆⡖⠲⡂⠐⠒⣠⢰⢰⢲⢐⢲⠀⢰⠉⡆⡖⡆⡇⢰⠒⢠⠶⠀⠀⠄⠶⠖⣶⣶⣶⣶⣾⡂⣨⣵⣖⢶⡒⣶⣶⠀⣴⡆⠶⠶⢼⠍⠭⢭⣿⣿⣿⣿⣿⣿⣓⣽⡧⠭⠭⠭⡥⠀⠀⠀⠀⠨⡀
⠀⠀⠀⠀⠀⠀⠀⢀⡀⣀⣀⣀⣀⣀⣀⣂⣀⣀⣀⣐⣊⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠐⠦⣶⣶⣾⣶⣶⣶⣾⡅⢛⣛⢸⣼⣻⣿⡟⠀⡂⠿⢡⣽⣿⠷⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠐⡅
⠀⠀⠀⠀⠀⠀⠀⠀⠓⢶⣘⠓⣓⣛⣛⣟⣓⣒⣲⣶⣾⣶⣾⣷⣶⣶⣿⣶⣦⠀⠀⠀⠂⢰⣐⣺⣶⣶⣶⣿⣿⣿⡆⠀⢐⣃⣻⡿⢿⣿⢀⣥⡬⢼⣿⢿⣧⡀⠽⠿⢮⣭⣟⣿⠿⠻⣿⢿⣿⣿⣭⣭⠀⠀⠀⠀⠀⠆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⣒⠒⣒⣛⣿⣿⣷⣿⣿⣿⣿⣿⣿⣟⣓⠊⠀⠀⠀⠀⢀⣒⣲⣒⣒⣒⣒⣳⣻⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣯⣽⣯⠻⣿⣷⡄⠉⠁⠀⠀⠀⠀⠀⠀⢨⣾⣯⡏⢻⠀⠀⠀⠀⠀⡅
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢂⣒⣚⣻⣿⣿⣿⣿⣟⣟⣟⣚⠂⠀⠀⠀⠀⠀⢂⡐⣒⣲⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⡿⣿⣿⣿⣯⡙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⣿⣿⣷⡟⠀⠀⠀⠀⠀⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⢦⣿⢿⣷⣾⣶⣾⡾⠁⠀⠀⠀⠀⠀⠀⢀⡶⣾⣦⣶⣶⣶⣿⣿⣿⣿⡿⠇⣽⣿⣿⢿⢸⣿⡿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣿⣿⡻⠿⠀⡀⠀⠀⠀⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⠒⣚⢳⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠓⠛⠛⠛⠛⠛⠛⠛⠭⠅⢿⡟⠋⣚⠀⢙⡋⢛⡛⢛⣛⡆⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠚⠃⠀⠀⢖⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢀⢩⠉⠀⠀⠈⢿⠀⠚⣿⡖⣗⣚⣓⣛⣦⣀⠀⠀⠀⡀⣴⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠂⠑⠀⠀⢠⠀⠀⠀⠒⠶⠿⠛⠋⠙⠓⠀⠟⢛⡟⠟⣋⣟⠁⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢀⢀⢠⡄⠀⢀⠀⠀⠠⠄⠺⠒⠺⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣠⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣽⣿⣿⣿⣿⡿⢿⣿⢿⣿⢽⠿⡿⡿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢟⣽⣿⣿⣿⣯⣟⠿⣿⣿⡿⢿⡏⣹⣿⣽⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣻⣻⣿⣿⣻⣛⣿⣻⣿⣿⣿⣿
⣿⣿⡟⠙⡃⣚⣛⣛⣛⣛⠛⠛⠛⠀⠉⠉⠉⢠⣿⣿⣿⣿⣭⣿⣿⣿⣿⣯⢿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠋⠀⠀⠁⠈⠉⠙⠛⢉⢫⠎⠠⢀⠂⠀⢀⠿⢿⢿⢿⣿⡿⢿⣿⣿⣿⣿⣿⠿⠿⢿⣿⢿⠿⠿⡿⡿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣟⣿⣿⣿⣟⣿⣾⣿⣶⣿⣿⣿⣷⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣿⣿⣯⣯⣯⣿⣭⣿⣯⣯⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡟⡿⣿⢛⡛⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣶⣷⣾⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣝⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡌⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠘⣿⣿⡏⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⢻⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠸⣿⠀⠀⠈⠻⠉⡉⠩⣯⣿⢿⣿⣿⠉⠀⣀⠔⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢹⡀⠀⠀⠀⠀⠀⠀⠈⠛⠈⠉⠉⠀⠀⠈⠁⠀⠀⠀⢠⡴⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⢿⣿⣷⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠉⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠐⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣤⣤⣤⣤⣀⣀⣀⠀⢠⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 1970

╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕

(ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2023/12/27/When_Linux_Foundation_Says_Community_It_Means_Mark_Zuckerberg_a.shtml
    Gemini version at gemini://gemini.techrights.org/n/2023/12/27/When_Linux_Foundation_Says_Community_It_Means_Mark_Zuckerberg_a.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ When Linux Foundation Says "Community" It
Means Mark Zuckerberg and the Intelligence Community (Spies, or Companies That
Put Back Doors in Billions of Chips)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Dec 27, 2023,
updated Dec 27, 2023


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Free_vintage_retro_WPA_poster.⦈_


The Linux_Foundation has this_new_puff_piece_this_week. It speaks of
"portfolio" (Wall Street vocabulary), not "community". "The Linux Foundation
Connectivity grows portfolio with ISP Toolbox" says the headline. Nope! Not
about Linux, as Magma is for M.A.G.M.A. (Microsoft, Amazon, Google, Meta,
Apple, aka G.A.F.A.M.) et al; you get the idea....


To quote: "LF Connectivity (LFC), a Linux Foundation open-source project
focused on advancing technologies to accelerate emerging network and
connectivity applications, announced Magma and ISP Toolbox have become LFC sub-
projects."


The official site speaks of "Supporting Community", revealing the mis-
comprehension if not deliberate misappropriation of this term.


                   🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇LF communitywashing⦈


The new article says:


                  🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Magma communitywashing⦈


This is classic communitywashing. And if you're not an employee of those large
companies, they won't care about you and your patch. Heck, they don't even
expect you to participate (except as a free labourer or an overambitious slave)
and might be very surprised if you, as an outsider, come and offer some help.
Some of these companies work with the state and hand over Internet usage
information.


This is an extension of openwashing. Several companies pooling resources and
collaborating on some code is not what makes Free software communities. Plus,
you need a Microsoft account.


Of course their code is being outsourced to a proprietary platform (GPL-
violating_jail) controlled by Microsoft, e.g. (first in the list):


                        🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Terragraph⦈


Give your code to the "Microsoft community" and then boast about being a
socialist? █




⣿⢿⣿⠿⠿⠿⠿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⢿⢿⢿⣿
⣿⠀⠀⠀⠀⢀⣴⣿⣿⡿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣴⣶⣶⣶⣦⣬⣄⣀⠰⣿
⣿⠀⢀⣰⢞⣭⣥⣁⣼⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⡻⣿⣭⣿⣯⠿⠋⠁⠀⠀⠀⠀⢶⡶⢰⣶⣶⠀⣶⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⢼⠟⠁⠉⠀⢸⣫⣽⣿⣯⣝⠛⣷⠀⠀⠀⠀⠀⠀⢀⣠⣶⣏⣿⣟⣿⣹⡷⠛⠁⠀⠀⠀⠀⠀⠀⠀⢸⡇⢸⣿⣿⠀⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿
⣿⠈⠂⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⠀⠀⠀⣠⣴⣿⣷⣿⣟⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠘⠛⠛⠀⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣻⣿⣿⣷⣿⣿⣿⣿⣿⣿⣗⣻⣿
⣿⠀⠀⠊⢹⣿⣿⣿⣿⣻⣿⣿⣫⣿⣿⣤⣴⣿⣿⣿⣿⣿⡷⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣼⣷⣿⠀⣿⢻⡆⣿⣻⡆⢸⡇⠀⣿⢻⡆⠀⠀⠀⠀⠀⣠⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿
⣿⠀⠀⠀⡿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣽⣿⣿⣾⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢿⡟⠀⣿⣸⡇⣿⢻⣇⢸⣇⡀⣿⣸⡇⠀⠀⠀⠀⠀⠹⠿⢭⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⣿⣿⣿⣿⣿
⣿⠀⠀⢠⢚⠙⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠘⠃⢀⠙⡛⠀⣛⠈⠋⣘⠛⠃⠛⠛⠁⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢿⣿⣿⠆⠹⣿⣿⣺⣿
⣿⠀⢠⡆⠙⠁⠉⢿⣿⣿⣿⣿⣿⣽⡿⢻⣲⣄⠀⠀⠀⢀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣸⡇⢠⣿⡆⢸⣟⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣟⣧⢶⣀⢹⣿⣧⠀⠙⣿⣸⣿
⣿⠀⠈⣷⣤⣶⣶⣿⣿⣿⣿⣿⣟⣻⣥⣤⣅⣸⣷⣿⣿⣿⣿⢻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢻⡇⣸⣿⣇⢨⣍⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣤⣼⠟⣾⣿⣿⠀⠀⠈⢸⣿
⣿⣠⣶⣿⣿⣷⡟⠻⣻⣿⡿⢛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⣈⠁⢉⡀⠉⣈⣉⠁⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣯⣹⣿⣿⣿⣿⣿⡿⠿⠟⢡⣾⣿⣿⣿⡇⠀⠀⢸⣿
⣿⣿⣿⣿⣿⡿⣿⣦⡙⠻⠛⠛⣰⣿⣿⣿⣿⣿⣫⣽⣿⣿⡇⢸⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣍⡀⣼⣷⠀⣿⣹⡇⢾⣟⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣶⣶⣾⣿⣿⣿⣿⡇⠀⠀⢸⣿
⣿⣿⡿⠟⠁⢤⣼⣿⣿⣶⡛⣿⡿⣿⣯⣾⣿⣿⣿⣿⡿⠙⠇⣼⡇⣿⢿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣍⣀⣿⣿⡄⣿⢹⡇⢨⣽⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⢟⣻⣿⣿⣿⣿⣿⡙⣿⣿⣿⡇⠰⣴⢸⣿
⣿⠉⢠⠀⠀⣠⣿⣿⡟⣿⣿⡜⣾⣿⡟⠻⣿⣿⣿⣿⣷⣄⠀⢿⠁⡿⠀⠈⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠈⠁⠈⠁⠉⠈⠁⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⣿⣼⣿⣿⡿⡲⠻⢸⣿
⣿⠀⠀⠀⢠⣿⣿⣿⡅⢛⣽⣷⢹⣿⣇⠀⠈⠙⣿⣟⣿⣿⣿⣄⠘⠱⠾⠾⡟⡇⢇⠀⠀⠀⠀⠀⠀⠀⡀⢀⣀⢀⡀⠀⢀⣀⠀⢀⠀⣀⢀⡀⠀⢀⠀⡀⣀⠀⠀⣀⠀⠀⢀⣀⢀⠀⠀⢈⡹⢿⣿⣿⠿⠞⣁⡀⢸⣿
⣿⣦⣤⣤⣾⣿⣿⣿⣧⣴⣿⣿⣶⣿⣿⣶⣤⣤⣿⣿⣿⣿⣷⣿⣿⣦⣶⣦⣴⣷⣿⣧⣤⣤⣤⣤⣤⣤⣬⣤⣬⣬⣤⣤⣭⣭⣤⣬⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣾⣷⣯⣭⣤⣤⣴⣴⣤⣼⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠤⠄⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣟⣿⢿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⢉⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⣉⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠋⣁⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⢉⣉⣁⣀⣀⣀⣈⣉⡀⠀⠨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡿⠿⢿⢿⠿⠟⠟⠡⢴⢟⡿⡿⠿⡿⠿⠿⡿⠿⠿⠿⣶⡄⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣯⣦⣽⣽⣽⣧⣤⠈⠼⣮⣯⣧⣤⣿⣤⣾⣯⣬⣯⣶⠿⠃⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⣈⡉⠉⠛⠛⠛⠋⢉⣉⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢰⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⣿
⢸⣿⡟⡉⢿⡏⠻⠋⠉⢩⣍⢻⡯⣉⡉⢹⣿⣿⡇⢸⣿⣿⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⡇⡀⠀⡄⢠⢸⠀⠀⡄⠀⡀⡇⠄⠀⢸⠀⣿⣿⢫⣭⠫⣯⣻⣿⠉⢿⢋⢹⢟⠻⡋⣛⠿⡻⢻⡇⣿
⢸⣿⣠⣥⣘⣇⣷⣆⣀⣘⣋⣼⠀⢉⣧⣸⣿⣿⡇⢸⣿⣿⣼⣶⣿⣶⣶⣶⣶⣾⣶⣶⣶⣶⣿⣿⣿⣿⣿⣧⣤⣧⣤⣦⣤⣤⣼⣤⣴⡤⢄⠀⠣⠀⡤⠸⠀⣿⣿⣸⣣⣷⣙⣣⣿⢸⣤⣾⣠⡐⢖⣇⠻⣘⢟⢸⡇⣿
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠃⣿
⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡿⠋⣉⣹⠭⣿⢉⡿⠿⠉⢹⠿⡿⠿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠘⠛⠀⢀⠀⠀⣿⣿⣿⣿⣿⣿⠛⢿⡟⢻⣿⠛⣿⣿⡿⢿⣿⡛⠻⣿⠛⣿⠛⢻⣿⣿⣿⣿⣿⣿⣷⣪⡕⣥⡰⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⢦⠄⢹⠀⣿⠈⠀⢾⠀⢸⠀⡇⠀⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⣶⣄⠀⠀⠀⣸⣿⣿⣿⣿⣿⣧⠈⢻⣿⣿⠀⣿⡿⢧⠈⢻⣿⡄⢹⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣷⣼⣵⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣷⣶⣶⣾⣶⣿⣶⣷⣶⣶⣾⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠂⠘⠃⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣶⣿⣷⣾⣷⣶⣿⣿⣾⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣀⣠⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⢿⣿⡟⣿⠛⠟⠛⠻⠛⣿⠛⠛⠛⠛⡟⢻⠛⠟⠛⢻⠟⡛⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⠿⠿⢿⣿⣿⣿⣿⣿⡿⠿⡿⠿⣿⢿⠿⣿⣿⣿
⣛⣻⣿⡇⠛⠀⡀⠃⢀⠀⣤⢸⡇⢸⡆⢠⡈⠀⢀⡈⠄⢠⡇⠀⣿⣿⢻⠟⠛⠻⡛⠛⣿⣿⣛⡛⢛⠟⣿⣿⣿⣟⠚⡛⢟⢺⣿⣿⣿⠛⢻⠛⠟⢻⡟⣿⣿⣿⣶⠚⣳⠖⣾⣿⣿⣿⣿⣿⣿⣲⠞⡞⡚⢳⣶⣿⣿⣿
⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀
⣿⣿⣷⣧⣤⣷⣶⣤⣼⣤⣤⣤⣷⣩⣬⣴⣾⣷⣥⣤⣾⣠⣴⣎⣥⣵⣦⣧⣮⣼⣼⣤⣤⣵⣴⣤⣤⣼⣦⣤⣄⣼⣤⣤⣦⣶⣬⣦⣧⣵⣿⣼⣧⣤⣼⣊⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣮⣦⣴⣦⣦⣥⣼⣿⣿⣿⣿⣿
⣿⣿⣟⣛⢟⢟⣟⠟⣿⠛⠛⢛⡛⠛⠛⠛⣿⣻⡟⣻⣛⠻⠛⠛⡛⠛⣛⣻⠛⠛⠻⣛⠛⢟⣛⢟⣿⣻⡟⠛⡛⢻⡟⠛⢛⣻⠻⠛⣟⢿⣛⣛⣟⠛⠛⡟⣻⣿⢛⠛⠛⣛⣿⣻⡻⣻⢛⣛⠛⢛⢻⠛⣛⣿⣿⣿⣿⣿
⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⡿⣿⢿⣿⣿⣶⢿⣿⣿⣿⣾⣿⣿⡿⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⡿⠿⢿⡿⣿⣿⢿⢿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣧⣯⣤⣤⣴⣴⣴⣼⣷⣥⣿⣷⣷⣤⣼⣼⣮⣦⣧⣴⣤⣤⣴⣧⣤⣿⣴⣷⣗⣤⣤⣤⣿⣼⣮⣼⣿⣷⣷⣤⣤⣴⣧⣴⣐⣷⣭⣶⣷⣭⣾⣦⣤⣦⣴⣵⣵⣿⣤⣤⣤⣶⣾⣤⣴⣷⣴⣄⣤⣤⣦⣤⣴⣶⣿⣿
⣿⣿⣟⣛⣻⣟⡟⣛⡻⠛⠛⣿⢛⣻⠻⡟⠛⠛⢛⢟⣻⠟⣛⣿⣿⢻⢛⣛⡻⠟⢟⠟⣿⣻⣟⢟⣟⠻⠛⠛⠛⣛⡛⠻⢻⠛⠟⢛⡿⣛⢟⣛⡟⢟⠛⡿⣛⣻⠻⠛⠻⣛⣛⠟⢿⠛⢻⣛⣻⠛⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣧⣤⣶⣶⣴⣼⣼⣶⣮⣤⣶⣼⣧⣦⣶⣾⣶⣦⣴⣤⣄⣾⣤⣴⣴⣦⣴⣶⣤⣆⣸⣷⣧⣀⣤⣿⣄⣦⣮⣮⣾⣷⣤⣤⣶⣦⣤⣦⣿⣦⣼⣤⣶⣷⣷⣤⣦⣴⣴⣴⣦⣤⣧⣮⣧⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⡻⢻⣿⢩⠙⠛⡟⠛⡛⠛⠛⠛⠛⠛⡟⣛⣹⠛⠋⠛⡙⡻⣛⡏⡏⣹⣫⠝⠛⣛⣻⡻⣛⡋⢛⠙⡛⣟⠛⣟⣛⣟⡛⡟⢛⠙⢝⣿⣛⡛⠫⣛⣿⢛⢟⡟⣛⣻⣏⢛⣻⡛⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣿⣿⣿⣷⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⡿⡾⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⡾⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⣿⣿⣿⡿⣿⣿⢿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿
⣿⣿⣷⣵⣥⣼⣿⣿⣿⣿⣿⣿⣿⣿⣗⣼⣤⣤⣧⣬⣇⣤⣶⣤⣤⣶⣦⣾⣷⣿⣾⣗⣦⣤⣴⣴⣥⣶⣧⣧⣤⣾⣵⣤⣮⣾⣦⣤⣧⣤⣷⣴⣤⣼⣠⣴⣄⣠⣤⣤⣧⣶⣤⣾⣾⣷⣤⣤⣾⣵⣷⣷⣼⣤⣤⣿⣿⣿
⣿⣿⡟⢛⢛⠟⠟⢛⠿⠛⠋⠹⢿⡿⠛⡟⠛⠛⠛⠛⡛⢿⡟⠛⠛⣻⠛⠛⠟⣟⢟⠋⢿⣟⠛⡟⠟⠛⢹⢛⡟⠻⣽⡟⠛⢻⠋⡟⢿⢿⠛⠛⢻⠛⠛⠛⡟⠛⠛⠛⠛⢿⠟⢻⠛⠛⠋⣿⠛⢻⠛⢛⡿⢿⣿⣿⣿⣿
⣿⣿⣿⣷⡷⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⠿⣿⣷⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣧⣤⣤⣤⣭⣥⣤⣤⣼⣤⣤⣾⣤⣤⣤⣽⣤⣤⣬⣤⣦⣼⣥⣤⣤⣤⣥⣼⣬⣵⣭⣬⣤⣤⣤⣄⣨⣬⣤⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⢿⣿⣿⣿⣿⢿⡿⣿⢿⣿⣿⣿⢿⣿⣿⢿⢿⣿⣿⣿⠿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⢿⢿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣧⣾⣷⣤⣴⣜⣠⣤⣴⣴⣾⣲⣧⣴⣵⣿⣯⣤⣤⣴⣼⣿⣷⣾⣦⣤⣤⣤⣾⣦⣦⣽⣤⣼⣾⣲⣤⣤⣼⣴⣤⣤⣧⣤⣤⣤⣤⣤⣴⣷⣤⣤⣢⣧⣶⣤⣴⣤⣦⣦⣤⣦⣤⣤⣷⣶⣷⣤⣧⣼⣿⣿⣿⣿⣿⣿
⣿⣿⣏⠉⠉⠉⠉⠉⠉⠍⢩⡻⣿⣛⢛⡻⢛⣟⣿⠛⠛⠛⠛⡟⠛⠛⢛⡛⠛⢻⠛⢛⠛⠙⠛⠋⣟⠛⣙⠋⢻⢛⢛⢫⣟⠙⠋⢛⡟⣻⡛⡛⠻⡟⠛⠛⠛⣛⢛⣿⠛⣫⢟⢟⡟⢛⠛⡟⠛⡛⢹⣟⣟⢻⣿⣿⣿⣿
⣿⣿⣷⣶⣶⡶⣶⢶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⢿⡾⣿⣿⣿⣿⣿⢿⣿⣿⣿⣾⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣧⣴⣤⣤⣦⣤⣮⣹⣧⣬⣥⣯⣤⣤⣤⣠⣧⣬⣭⣿⣽⣵⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣯⣏⣉⣩⣉⣉⣹⣿⣋⣉⣝⣝⣝⣽⣿⣍⣩⣝⣝⣽⣽⣭⣹⣹⣯⣻⣯⡹⣿⣽⣍⣽⣫⣩⣉⣽⣝⣹⣿⣍⣻⣩⣉⣉⣉⣉⠉⣯⣍⣉⣹⣩⣉⣉⣩⣫⣫⣩⣉⣍⡩⣹⠩⣋⣭⣻⣏⣹⣿⣽⣿⣿⣿⣿⣿
⣿⣿⣿⢿⢿⠿⡿⡿⡿⣿⢿⢿⠿⠿⢿⠿⠿⠿⢿⠿⣿⡿⠿⣿⣿⠿⢿⡿⠿⡿⠿⠿⢿⢿⠿⢿⠿⠿⢿⢿⡿⡿⠿⡿⠿⠿⠿⡿⣿⢿⢿⢿⠿⣿⡿⡿⡿⢿⠿⢿⢿⢿⡿⠿⢿⢿⢿⠿⢿⡿⢿⡿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣴⣶⣵⣯⣮⣷⣿⣯⣶⣤⣶⣾⣶⣤⣤⣵⣽⣶⣧⣿⣯⣯⣦⣿⣮⣮⣦⣿⣦⣷⣽⣵⣾⣶⣦⣾⣿⣧⣦⣯⣮⣴⣴⣷⣷⣽⣾⣵⣵⣤⣿⣧⣥⣴⣼⣼⣶⣴⣵⣥⣼⣵⣼⣼⣿⣵⣧⣯⣿⣼⣿⣿⣿⣿⣿
⣿⣿⣯⣯⣋⣋⣹⣏⣋⣉⣫⣉⣉⣉⣙⣹⣹⣯⣋⣏⣙⣩⣽⣉⣍⣫⣿⣝⣽⣽⣉⣉⣩⣹⣭⣽⣝⣙⣹⣭⣋⣫⡋⣋⣉⣏⣫⣿⣍⣋⣩⣉⣩⣯⣉⣙⣩⣍⣙⣩⣽⣏⣟⣝⣿⣙⣉⣍⣩⣹⣉⣍⠫⣿⣿⣿⣿⣿
⣿⣿⡿⠿⠿⡿⣿⠿⠿⠿⣿⡿⠿⠿⡿⠿⢿⠿⠿⠿⡿⡿⠿⣿⠿⠿⢿⣿⠿⠿⠿⠿⠿⢿⠿⠿⠿⠿⢿⠿⡿⠿⠿⠿⠿⠿⢿⣿⠿⠿⠿⠿⠿⡿⠿⣿⢿⠿⠿⢿⠿⠿⠿⠿⠿⣿⡿⡿⠿⢿⠿⠿⢿⠿⠿⣿⣿⣿
⣿⣿⣿⣶⣶⣿⣾⣶⣶⣾⣶⣾⣿⣶⣷⣮⣷⣿⣷⣶⣿⣾⣷⣽⣾⣦⣿⣿⣴⣶⣶⣷⣷⣿⣶⣶⣶⣶⣾⣷⣾⣿⣶⣾⣶⣾⣮⣿⣶⣾⣿⣶⣷⣶⣿⣿⣿⣶⣾⣷⣶⣦⣶⣷⣷⣿⣿⣿⣶⣾⣶⣿⣿⣶⣾⣿⣿⣿
⣿⣿⡯⣍⣩⣍⣭⣯⣯⣉⢿⣾⣜⣠⣷⣈⣍⣵⣯⣫⣉⣽⣉⣉⣭⣉⣁⣉⣫⣫⣍⣯⣝⣭⣛⣿⣯⣫⣉⣉⣭⣉⣍⣉⣿⣽⣍⣁⣏⣫⣫⣯⣯⣉⣁⣉⠉⣝⣍⣹⣹⣝⣙⣹⣩⣈⣉⣉⣹⣹⣝⣉⣿⣿⣿⣿⣿⣿
⣿⣿⡿⠿⠿⠿⢿⢿⠿⠟⠿⠛⠿⡿⢿⢿⠿⡿⠟⠿⡟⠿⠿⠿⡿⠿⡿⣿⢿⡿⡿⡿⣿⠿⢿⠿⠿⣿⠿⠿⠿⢿⠿⢿⡿⡿⠟⠿⡟⡟⡟⠻⢿⠿⠿⠿⠿⢿⠟⠿⠿⠿⡟⠿⣿⠿⠿⡿⡿⠿⠿⠿⡿⠿⠿⢻⣿⣿
⣿⣿⣷⣶⣶⣿⣿⣿⣿⣶⣾⣶⣵⣷⣽⣿⣴⣷⣷⣶⣷⣿⣶⣶⣷⣾⣾⣿⣿⣿⣿⣷⣿⣾⣿⣶⣿⣿⣷⣷⣶⣾⣶⣿⣿⣾⣶⣴⣷⣿⣶⣷⣾⣤⣾⣷⣶⣿⣶⣶⣿⣿⣷⣾⣿⣾⣿⣿⣿⣶⣶⣶⣷⣶⣶⣾⣿⣿
⣿⣿⣇⣉⣽⢉⣩⣩⣋⣽⣿⣉⣭⣯⣋⣉⣉⣨⣁⣘⢛⣏⣼⢉⣉⣉⣃⣈⣹⣘⣽⣽⣯⡿⣍⣉⣩⣉⣁⣯⣯⣸⣈⣉⣁⣉⣁⣯⣿⣀⣉⣉⣈⣙⣍⣉⣹⣨⣈⣁⣍⣋⣩⣅⣹⣉⣉⣋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣟⠿⣻⡿⠻⢿⣿⠻⠿⢿⡛⣻⢿⣿⣿⣿⠿⡿⠿⠿⢿⢿⡿⡿⢿⣿⣻⢻⠛⡿⠿⡿⣿⡿⠟⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣷⣿⣷⣶⣶⣶⣷⣶⣦⣼⣷⣷⣷⣷⣾⣷⣶⣷⣶⣶⣴⣶⣷⣶⣾⣿⣾⣶⣾⣷⣦⣾⣾⣷⣶⣶⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣷⣇⣅⣅⣶⣘⣇⣸⣗⣅⣬⣈⣨⣨⣂⣧⣕⣿⣪⣺⣊⣀⣆⣠⣄⣼⣨⣗⣈⣸⣸⣻⣰⣿⣣⣨⣘⣐⣕⣯⣿⣢⣽⣼⣞⣨⣇⣃⣐⣔⣯⣿⣳⣪⣁⣀⣅⣅⣖⣀⣅⣰⣨⣇⣅⣪⣀⣪⣅⣕⣜⣗⣕⣅⣿⣿
⣿⣿⡟⣟⡻⠛⢛⠟⢟⢛⡛⣻⡛⢻⢛⢛⡻⠛⠛⡛⣿⡻⢿⣻⣟⣟⢿⢛⡻⠛⠛⣻⡟⣛⠻⢻⡟⠛⠟⣟⡻⣻⡛⣛⠻⠛⠛⡟⠛⢟⣛⣟⠛⣿⡛⠻⣿⡟⠟⣛⠛⢟⣛⠛⢛⣟⣿⡟⣟⡻⠻⡻⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣾⣿⣷⣾⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣴⣯⣴⣬⣴⣾⣾⣿⣾⣦⣤⣿⣴⣧⣧⣶⣵⣬⣾⣶⣬⣶⣬⣤⣤⣤⣎⣲⣷⣧⣻⣾⣤⣬⣤⣼⣼⣷⣥⣥⣼⣿⣧⣥⣤⣤⣤⣶⣿⣿⣶⣬⣲⣷⣥⣤⣤⣾⣮⣂⣧⣧⣤⣶⣷⣶⣤⣴⣷⣷⣿⣿⣿⣿⣿
⣿⣿⣯⢛⣟⡟⠛⣟⡛⢛⠛⠛⠛⠛⢻⠛⠙⣻⣋⡻⣻⡛⠛⢛⣛⢟⠟⣛⡛⠛⢻⢛⢛⢟⣛⢿⡛⣻⠟⢛⡻⣻⣿⠟⠛⣻⣻⡻⣛⠛⠛⠛⡻⣟⡻⡛⣛⢟⢟⣛⢻⣿⣫⡝⢛⡟⣟⣟⣟⣻⡻⣛⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣾⡿⣿⣿⣿⣿⣷⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣶⣷⣿⣿⣷⣿⣿⣿⢿⣿⣿⣿⣾⣿⣿⣿⣿⡿⣿⣾⢿⣿⣿⣿⣿⣿
⣿⣿⣷⣷⣥⣴⣵⣿⣤⣤⣤⣤⣤⣾⣷⣕⣦⣤⣮⣧⣴⣧⣴⣷⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣗⣬⣧⣴⣤⣧⣤⣔⣮⣾⣷⣤⣧⣶⣖⣮⣦⣴⣤⣾⣄⣿⣦⣤⣤⣼⣤⣤⣤⣶⣷⣵⣶⣤⣦⣔⣼⣷⣪⣿⣿⣿⣿
⣿⣿⡟⢛⠻⢫⣻⡛⠛⠛⡟⠛⠏⠛⠛⣻⡛⣻⡛⠛⠛⠛⢛⢛⠛⡟⢛⣻⣻⣿⠛⠛⠋⡻⠛⠉⠛⣛⣟⣟⠛⢻⠛⠛⣛⠋⠛⠙⡻⢻⠛⢻⠛⠛⠋⣿⡛⣛⣻⡛⣻⠙⠛⠹⣻⡟⠛⡏⣟⡟⢛⢟⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡿⣿⣿⢿⣶⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣗⣬⣦⣄⣤⣤⣤⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠄⠀⠀⡀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣉⣉⢻⣿⣿⣿⠟⠛⠙⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣇⣹⣏⣼⣿⣿⣿⣄⣥⣁⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⠉⠉⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠄⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠿⠛⠋⠁⠀⠀⣰⣤⣤⣄
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀⣀⣴⣿⣷⣴⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⣠⣾⣷⣤⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣯⣿⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠩⣿⣾⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡿⠛⠙⠻⣿⣿⣿⡿⠋⠙⢻⣿⣿⣿⡟⠋⠙⢿⣿⣿⣿⠟⠋⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⡿
⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⢀⣤⣤⣤⣄⠀⠀⢠⣤⣤⣤⡄⠀⠀⣸⣿⣿⣿⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣯⣁
⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣷⣾⣿⣿⠟⢁⣴⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⠿⠿⠟⢁⣴⣿⣿⠇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠈⠛⠛⠛⠁⠀⠀⠈⣿⣿⣿⠃⠀⠀⢰⣿⣿⣿⠁⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣴⣿⣿⣿⣷⡄⢠⣾⣿⣿⠟⢁⡄⢠⣾⣿⣿⣿⣷⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⠟⢁⣴⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠈⠁⣴⣿⣿⠟⠁⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡀⠀⣠⣿⣿⣿⣆⠀⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⢿⣿⣿⣿⡿⠇⠸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⢹⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢈⣉⣉⣉⡁⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣯⣿⣾⣿⡿⣿⣿⣿⡿⣿⣿⡭
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣾⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢛⣿⣽⣿⣿⣿⣿⣿⣯⣿⡽⣿⣿⡇⣭⣝⣁
⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣻⣿⡿⣿⣿⣿⣿⣿⣻⣯⣿⡿⣿⣿
⣶⠀⣶⡾⢋⣉⠛⣿⠙⣋⡏⢛⣹⠛⣉⡛⠉⡿⠛⣉⡛⢹⡏⠙⣹⠛⣉⡛⠉⣿⠙⣋⡙⠻⡇⠘⠉⠙⠁⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣵⣾⣿⣿⡿⢼⣿⣷⢿⣿⣿⣷⣯
⣿⠀⣿⡀⢭⣭⠥⣼⠀⣿⡇⢸⣇⠸⣿⡿⠀⡇⢸⣿⡇⢸⡇⢸⣇⠸⣿⡿⠀⣿⠐⣿⡿⠀⡇⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢻⣿⡿⠿⠿⣿⣿⣿⣿⠉⠁⠀⢸⣿⣾⢫⠸⣿⣿⣿
⣿⣦⣿⣷⣦⣤⣶⣿⣤⣿⣧⣼⣿⣶⣤⣴⣤⡿⠦⣤⡆⢸⣧⣼⣿⣶⣤⣴⣤⣿⢰⣦⣤⣾⠇⠀⠀⠀⠀⢀⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⢸⣿⠭⠤⠴⠛⣿⣿⣿⠀⠀⠀⢸⣿⣿⡷⢰⣿⣾⢿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⡿⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠑⣿⣿⣿⣿⠀⠀⠀⢸⡿⠖⠒⠀⠀⣿⣿⣿⠀⠀⢀⣸⣿⣿⣹⢼⣛⣛⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⠀⠀⠀⢸⠟⠛⠓⠀⠀⢻⣿⣿⣶⣾⣿⢿⣻⣱⣾⣿⣿⣿⣿
⣿⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⣀⣾⣿⣿⡿⠀⠀⠀⢀⣀⣀⣀⣀⣤⣾⡿⢟⣫⣽⣾⣿⢿⡿⢿⣿⣿⣿⡿
⣿⠀⠀⠀⠰⠄⠄⠆⠀⠰⠠⠀⠂⠄⠄⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⡤⢹⠉⡋⠩⠉⡿⠉⢹⣿⣿⣿⠟⠀⢿⠌⠙⠻⢿⣿⣿⣿⣿⡟⣿⡿⠟⢻⢯⣾⠀⠀⣀⣠⣿⣿⡿⠟⢋⣁⣾⣿⣿⣿⣿⣿⣿⠻⠗⣿⣿⡭⠤
⣿⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣸⡿⠿⠿⠿⠷⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⡿⢬⣋⠄⢈⣨⣶⠄⢈⡙⠻⠿⠃⠁⠀⠀⠘⣿⣻⣶⣻⡟⢟⣋⣥⣒⣾⣻⣿⣻⣟⣿⣟⡋⣨⡿⢞⣶⣿⣿⡷⠒
⣿⣿⣿⣷⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⡖⣿⣿⣿⣿⣿⣷⣶⣶⡄⡴⡷⣿⣿⠏⠀⠀⠀⢘⣿⣿⣿⣾⣿⠿⠋⣐⡮⡋⠌⢂⢦⠄⣀⣬⢦⢸⡿⢟⣫⣵⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⠿⠛⠑⠒

                    ䷩ 𝚕𝚒𝚗𝚎 2171

╒═══════════════════ 𝐃𝐀𝐈𝐋𝐘 𝐋𝐈𝐍𝐊𝐒 ═════════════════════════════════════════════╕

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Links 27/12/2023: Apparent Suicide of Lee
Sun-kyun, New Story About Long COVID⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Dec 27, 2023


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Mother_elephant_with_her_baby_walking_dead_planet_earth⦈_


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * Leftovers
          o Science
          o Education
          o Hardware
          o Health/Nutrition/Agriculture
          o Proprietary/Artificial_Intelligence_(AI)
          o Security
                # Privacy/Surveillance
          o Defence/Aggression
          o Environment
                # Energy/Transportation
                # Wildlife/Nature
                # Overpopulation
          o Finance
          o AstroTurf/Lobbying/Politics
          o Censorship/Free_Speech
          o Freedom_of_Information_/_Freedom_of_the_Press
          o Civil_Rights/Policing
          o Internet_Policy/Net_Neutrality
          o Digital_Restrictions_(DRM)
          o Monopolies/Monopsonies
                # Patents
                      # Software_Patents
                # Copyrights
                # Gemini*_and_Gopher
                      # Personal/Opinions
                      # Technology_and_Free_Software
                            # Internet/Gemini
    * § Leftovers⠀➾


          o ⚓ El País ☛ Stairway_to_Hell:_50_years_of_‘The_Exorcist’⠀⇛


                 Back in 1973, The Exorcist was released in only 24
                 theaters in the U.S., as the cast seemed lackluster and
                 Warner studios had little faith in it. Ellen Burstyn and
                 Max von Sydow were not considered famous enough to pull
                 an audience in. Linda Blair was an unknown and Jason
                 Miller, who played father Karras, was a playwright
                 without much experience as an actor. But then there was
                 the audience’s reaction to the film: vomiting and
                 fainting spells, prompting some theaters to set up a
                 permanent help desk. The critics were divided, and so was
                 the Church. The image of a girl masturbating with a
                 crucifix was not, so to speak, very Catholic. Meanwhile,
                 the audience grew.


          o ⚓ France24 ☛ 'Parasite'_actor_Lee_Sun-kyun_dead_at_48⠀⇛


                 South Korean actor Lee Sun-kyun, best known for his role
                 in the Oscar-winning film "Parasite", was found dead
                 Wednesday in an apparent suicide, Yonhap news agency
                 reported.


          o ⚓ ‘Parasite’_star_Lee_Sun-Kyun_found_dead_in_apparent_suicide_amid
            drug_investigation:_report⠀⇛


                 Before his death, the South Korean actor had been
                 questioned three times by police regarding suspected
                 illegal drug use.


          o ⚓ Tedium ☛ The_Great_YouTube_Epic⠀⇛


                 To kick off this year’s year-end Tedium awards, we honor
                 a video that may have done more good for creator culture
                 than anything created before or since.


          o § Science⠀➾


                # ⚓ Gizmodo ☛ Physicists_Designed_an_Experiment_to_Turn_Light
                  Into_Matter⠀⇛


                       Plasma could be wrangled to collide photons and
                       yield matter, according to physicists who ran
                       simulations to explore the practical applications
                       of a world-famous equation.


          o § Education⠀➾


                # ⚓ Zach Flower ☛ Adopt-a-Nerd⠀⇛


                       For the last 3 years or so, I've been volunteering
                       to support the Computer Science curriculum at my
                       neighborhood high school.


                       Generally, this has meant anything from guest
                       lecturing in the classroom, mentoring in CS-based
                       after-school programs, advising Senior students on
                       their capstone projects, and sitting on the
                       Capstone presentation panel.


                       I have loved every second of this work, because
                       it's an opportunity to give back in a way that
                       leverages my skills and interests, but a few
                       interesting things have stood out to me over the
                       course of this journey.


                # ⚓ Idiomdrottning ☛ Knowledge_sharing⠀⇛


                       I said “If we both spend three hours reading a book
                       each and then a few minutes asking each other
                       questions on the other’s book, we’ve saved time
                       compared to if we both had spent six hours each
                       reading both books”. Knowledge sharing FTW and
                       learning through groups can be awesome!


                # ⚓ Jon Udell ☛ Critical_mass_in_the_Goldilocks_zone⠀⇛


                       Social sites typically push toward supercriticality
                       with no such understanding. If Goodreads
                       enshittifies at 125 million users, why would
                       another service expect a different outcome at
                       similar scale?


                # ⚓ El País ☛ We_are_entering_the_era_of_the_robot_scientist⠀⇛


                       Deciding whether something is respectable science
                       is an even more complex process: a dialogue between
                       scientists, society, politics and history decides
                       whether something deserves to be recognized as
                       science or not. Science is conservative, and
                       proposing new ideas that go outside the narrow
                       framework of what is accepted is normally a very
                       tough battle: the scientific journal Nature
                       recently published a study that confirms that,
                       today, it is harder than ever to be a disruptive
                       scientist. If you want to do well as a scientist,
                       you need to be a man, middle class, and, above all,
                       follow what most scientists in your field are
                       doing.


          o § Hardware⠀➾


                # ⚓ The Register UK ☛ War_of_the_workstations:_How_the_lowest
                  bidders_shaped_today's_tech_landscape⠀⇛


                       It's this: Computers today are better than they
                       have ever been before. Not just that they have
                       thousands of times more storage and more speed, but
                       that everything, the whole stack – hardware,
                       operating systems, networking, programming
                       languages and libraries and apps – are better than
                       ever.


                       The myth is that early computers were simple, and
                       they were replaced by better ones that could do
                       more. Gradually, they evolved, getting more
                       sophisticated and more capable, until now, we have
                       multi-processor multi-gigabyte supercomputers in
                       our pockets.


                # ⚓ Hackaday ☛ Building_A_Better_Keyboard_And_Mouse_Switch⠀⇛


                       Switching inputs between desktops seems like
                       something that should be simple but can prove to be
                       a pain in reality. [Hrvoje Cavrak] decided to take
                       matters into his own hands and build a better
                       keyboard and mouse switch.


                # ⚓ Hackaday ☛ The_Strange_World_Of_Japan’s_PC-98_Computer
                  Ecosystem⠀⇛


                       Despite the popularity of the IBM PC in the West
                       during the 1980s, it had shortcomings that
                       prevented it from flourishing in the Japanese
                       market, most of all support for the Japanese
                       language. This led to a sort of parallel universe
                       in which NEC’s PC-9800 series (‘PC-98’) was the
                       dominant personal computer, including its NEC
                       µPD7220 display controller with its 4096-color
                       palette. These computer systems led to a graphics
                       style that persists to today, along with a whole
                       ecosystem of games and applications that never left
                       the PC-98. In an article by [Biz Davis] this
                       software ecosystem, its art style and their lasting
                       impact is explored.


          o § Health/Nutrition/Agriculture⠀➾


                # ⚓ Jon Udell ☛ Watch_your_hands⠀⇛


                       So once again I get to rewire my hand posture.
                       Which, again, is a minor hardship, not remotely
                       comparable to the guy I mentioned last time who had
                       to switch sides and learn to fret with his right
                       hand. As I also mentioned there, he found an
                       upside. Now he’s a switch-hitter who can use both
                       halves of his brain directly. In my case, I’m
                       trying to embrace the rewiring as a way to break a
                       habit and form new neural pathways. It’d be nice,
                       though, if that weren’t always a response to self-
                       inflicted injury!


                # ⚓ When_RFK_Jr._lies_that_he’s_“not_antivaccine”⠀⇛


                       One of the oldest antivax deflections in response
                       to accusations of being antivaccine is a rejoinder
                       of the form “I’m not antivaccine; I’m pro-safe
                       vaccine” or “I’m not antivax; I’m a vaccine safety
                       advocate.” Whatever the exact variation of this
                       particular trope employed by any given antivaxxer
                       when asked if they’re “antivaccine,” the idea is
                       clearly to recast all the negative things that the
                       antivaxxer had been saying about vaccines as not
                       being evidence of a general opposition to vaccines
                       but rather as evidence that they are “vaccine
                       safety” advocates who are just pointing out ways in
                       which vaccines are supposedly insufficiently
                       “safe.” Of course, the antivax definition of
                       “vaccine safety” implied by their attacks on
                       vaccines always involves exaggeration,
                       misrepresenting scientific data, pseudoscience,
                       attributing adverse events to vaccines that they do
                       not actually cause, and the Nirvana fallacy; i.e.,
                       a standard for safety that is unreasonable and
                       impossible to achieve in the real world. I’ve
                       written about this particular tactic more times
                       than I can remember going back nearly two decades,
                       but it appears that I need to address it again in
                       the context of an interview conducted earlier this
                       month CNN by Kasie Hunt with antivax activist
                       turned independent Presidential candidate RFK Jr.
                       (a.k.a. Robert F. Kennedy, Jr.).


                # ⚓ Science Alert ☛ Every_COVID_Infection_Increases_Your_Risk
                  of_Long_COVID,_Study_Warns⠀⇛


                       It's still here.


          o § Proprietary/Artificial Intelligence (AI)⠀➾


                # ⚓ Quartz ☛ In_a_bid_to_break_free_from_OpenAI,_companies_are
                  building_their_own_custom_AI_chatbots⠀⇛


                       With OpenAI, Google, Amazon, and Meta focused on
                       building larger and larger AI models, there’s still
                       a good argument for companies to wait and see what
                       kind of capabilities arise from them. But there
                       very well could be an ocean of smaller AI models
                       designed for specific tasks, which means people
                       might interact with different AI bots for various
                       activities throughout their day. Ultimately,
                       companies might find they can adopt AI in a less
                       costly way by focusing on specific applications,
                       said Yoon Kim, an assistant professor at the
                       Massachusetts Institute of Technology whose
                       research focuses on making generative AI models
                       more efficient.


                # ⚓ Federal News Network ☛ NGA_leans_in_on_AI,_machine_learning
                  to_improve_data_analysis⠀⇛


                       “AI, in general, is very data hungry for data
                       management systems and processes are really
                       important. There’s also kind of interesting
                       developments and I would even say paradigm shifts
                       happening with these foundation models. These are
                       large pre-trained models that are the starting
                       points for natural language processing (NPL), and
                       you basically fine tune it on a specific use case.
                       . .the vantage point of taking in a large already
                       pre-trained model and then fine tuning it on a
                       smaller dataset,” Krell said. “Bias can come in a
                       lot of places, whether it’s from the data sets, the
                       models, and then the algorithms themselves. So,
                       it’s definitely something to be aware of and
                       something that we have to balance at the end of the
                       day.”


                # ⚓ India Times ☛ 'Comply_with_existing_IT_rules':_Centre's
                  advisory_amid_growing_concerns_over_deepfakes⠀⇛


                       “The content not permitted under the IT Rules, in
                       particular those listed under Rule 3(1)(b) must be
                       clearly communicated to the users in clear and
                       precise language including through its terms of
                       service and user agreements and the same must be
                       expressly informed to the user at the time of
                       first-registration and also as regular reminders,
                       in particular, at every instance of login and while
                       uploading/sharing information onto the platform,”
                       the advisory stated.


                # ⚓ India Times ☛ AI_pioneer_says_public_discourse_on
                  intelligent_machines_must_give_'proper_respect_to_human
                  agency'⠀⇛


                       The book, "The World I See," also portrays her
                       formative years that abruptly shifted from China to
                       New Jersey and follows her through academia,
                       Silicon Valley and the halls of Congress as growing
                       commercialization of AI technology brought public
                       attention and a backlash. She spoke with The
                       Associated Press about the book and the current AI
                       moment. The interview has been edited for length
                       and clarity.


                # ⚓ El País ☛ Gemma_Galdón,_algorithm_auditor:_‘Artificial
                  intelligence_is_of_very_poor_quality’⠀⇛


                       Artificial intelligence is not just for engineers.
                       You can lean more towards soft than hard science
                       and still become a point of reference in the global
                       debate about the social and ethical repercussions
                       of what these systems do. Gemma Galdón, a 47-year-
                       old AI expert from Mataró, in Spain’s northeastern
                       region of Catalonia, graduated in contemporary
                       history and earned a PhD in technology-related
                       public policies. She is the founder and top
                       executive of Eticas Consulting, a company that
                       examines algorithms to ensure their responsible
                       use. “Being aware of how society has solved old
                       problems gives me a useful perspective to work with
                       new problems,” she says, sitting inside a coffee
                       shop in Madrid. “Twelve years ago, when I got my
                       PhD, there were very few people in the social
                       sciences who worked with technology.” Her company
                       currently advises European and American
                       organizations. Galdón’s suitcase is packed: she is
                       about to return to New York, where she lives and
                       where she recently received a Hispanic Star Award,
                       an accolade given to agents of change in the
                       Spanish-speaking community at an event at the
                       United Nations. She had to move to America, she
                       says, because in the U.S. “the market is more
                       receptive to responsible AI.”


                # ⚓ Reason ☛ The_Best_of_Reason:_How_Florida_Fixed_Its_Vote-
                  Counting_Problem_After_the_2000_Election⠀⇛


                       Ballots should be counted quickly and accurately.


                # § Windows TCO⠀➾


                      # ⚓ [Repeat] Cyble Inc ☛ Abdali_Hospital_Cyberattack:_
                        [Crackers]_Demand_10_BTC_Ransom_After_Breach⠀⇛


                             Details regarding the nature of the
                             compromised data, the extent of the breach,
                             and the motive behind the attack remain
                             undisclosed by the [attackers].


                      # ⚓ [Old] Gannett ☛ Increasingly_common,_health_care
                        cyberattacks_now_even_target_patients_with_ransom⠀⇛


                             The outage, an employee and a patient told
                             the Free Press, affected at least the
                             organization's billing systems and electronic
                             medical records, and meant that workers at
                             times had to use personal cellphones to
                             communicate. McLaren, however, would not
                             confirm specifically what systems were
                             affected, whether patients' protected health
                             information was compromised or even when the
                             security threat was first identified.


                             Headquartered in Grand Blanc, McLaren is just
                             the latest Michigan health system to face a
                             growing threat caused by cyberattacks.


          o § Security⠀➾


                # § Privacy/Surveillance⠀➾


                      # ⚓ EFF ☛ Surveillance_Self-Defense:_2023_Year_in
                        Review⠀⇛


                             Fighting for digital security and privacy
                             rights is important, but sometimes we all
                             just need to know what steps we can take to
                             minimize spying, and when steps aren't
                             possible, explaining how things work to help
                             keep you safe. To do this, we break SSD into
                             five sections:


                             But not everything makes sense in SSD, so
                             sometimes we also tackle security education
                             issues with blogs, which tend to focus more
                             on news events or new technology that may not
                             have rolled out widely yet. Each has its
                             place, and each saw a variety of new guidance
                             this year.


                             Surveillance Self-Defense has provided expert
                             guidance for security and privacy for 14
                             years. And in those years it has seen a
                             number of revisions, expansions, and changes.
                             We try to consistently audit and update SSD
                             so it contains up to date information. Each
                             guide has a "last reviewed" date so you can
                             quickly see at the start when it last got an
                             expert review.


          o § Defence/Aggression⠀➾


                # ⚓ Greece ☛ Suspected_migrant_smuggler_arrested_on_Kos⠀⇛


                       When a coast guard patrol boat pursued the vessel
                       after spotting it off the northeast of the island,
                       the skipper refused to stop the speedboat and
                       attempted to ram the patrol boat.


                # ⚓ New York Times ☛ Chaos,_Fury,_Mistakes:_600_Days_Inside_New
                  York’s_Migrant_Crisis⠀⇛


                       As the city raced to improvise a system that has
                       processed more than 150,000 people since last year,
                       it stumbled in myriad ways, many never reported
                       before.


                # ⚓ Deutsche Welle ☛ Nigeria:_Attacks_by_armed_gangs_leave_more
                  than_100_dead⠀⇛


                       Groups of armed bandits [sic] launched a series of
                       attacks over the weekend in Nigeria, with at least
                       113 people losing their lives and over 300 people
                       reported injured, local government officials said
                       Monday.


                # ⚓ teleSUR ☛ Morocco_and_Sahel_to_Boost_Cooperation⠀⇛


                       The Sahel region is a semiarid region of western
                       and north-central Africa, encompassing countries
                       such as Burkina Faso, Chad, Mali and Niger.


                # ⚓ The Atlantic ☛ The_Only_Thing_More_Dangerous_Than
                  Authoritarianism⠀⇛


                       The corruption of American Christianity is nothing
                       new: Modern-day pharisees from Jerry Falwell Sr. to
                       Paula White have spent 50 years weaponizing the
                       gospel to win elections and dominate the country,
                       exploiting the cultural insecurities of their
                       unwitting brethren for political, professional, and
                       financial gain, all while reducing the gospel of
                       Jesus Christ to a caricature in the eyes of
                       unbelievers. The resulting collapse of the Church’s
                       reputation in this country—with Sunday attendance,
                       positive perceptions of organized religion, and the
                       number of self-identified Christians all at
                       historic lows—leaves evangelicals estranged from
                       their secular neighbors like never before.
                       Unbelievers might well prefer it this way. They
                       might be tempted to shrug and move along, assuming
                       that the crack-up of evangelicalism isn’t their
                       problem. They are mistaken.


                       The crisis at hand is not simply that Christ’s
                       message has been corroded, but that his Church has
                       been radicalized. The state-ordered closings of
                       sanctuaries during COVID-19, the conspiracy-fueled
                       objections to Joe Biden’s victory in 2020, the
                       misinformation around vaccines and educational
                       curricula—these and other culture-war flash points
                       have accelerated notions of imminent Armageddon
                       inside American Christendom. A community that has
                       always felt misunderstood now feels marginalized,
                       ostracized, even persecuted. This feeling is not
                       relegated to the fringes of evangelicalism. In
                       fact, this fear—that Christianity is in the
                       crosshairs of the government, that an evil plot to
                       topple America’s Judeo-Christian heritage hinges on
                       silencing believers and subjugating the Church—now
                       animates the religious right in ways that threaten
                       the very foundations of our democracy.


                # § Russia, Belarus, and War in Ukraine⠀➾


                      # ⚓ Meduza ☛ Ukraine_strikes_Russian_landing_ship_in
                        missile_attack_on_annexed_Crimea_port_—_Meduza⠀⇛


                      # ⚓ Meduza ☛ Ukraine_says_its_troops_have_withdrawn_from
                        Marinka,_one_day_after_Russia_says_it_seized_destroyed
                        town_—_Meduza⠀⇛


                      # ⚓ Meduza ☛ No_shoes,_no_shirt,_no_service:_Russian
                        celebrities_face_event_cancelations_and_legal_action
                        after_attending_‘almost_naked’_party_—_Meduza⠀⇛


          o § Environment⠀➾


                # ⚓ NL Times ☛ Second_warmest_Christmas_period_in_the
                  Netherlands_since_recordkeeping_began⠀⇛


                       The weather peaked at 12.5 degrees on Christmas
                       Day, making the two-day average high temperature
                       11.9 degrees. That was well short of the record set
                       in 2015, when the average reached 14.2 degrees,
                       according to weather website Weeronline.


                # ⚓ DeSmog ☛ 2023_Has_Been_A_Big_Year_for_Climate
                  Accountability_in_the_Courts⠀⇛


                       Climate litigation had a momentous year in 2023.
                       Courts worldwide heard evidence and arguments at
                       pivotal trials and hearings. Landmark rulings
                       marked progress in holding governments to account
                       for climate inaction or denial, and new climate
                       cases continued to be filed. 


                       With climate lawsuits now totaling nearly 2,500
                       worldwide, it is clear that courts have become a
                       critical venue for seeking climate justice and
                       accountability.


                # § Energy/Transportation⠀➾


                      # ⚓ Pro Publica ☛ DTE_Energy_Facing_Oversight_of_Debt
                        Collection_Practices⠀⇛


                             DTE Energy, Michigan’s largest utility, will
                             be required to publicly disclose information
                             about how often it sells struggling
                             customers’ old debt to third-party collectors
                             following revelations that it does so far
                             more often than other utilities in the
                             region.


                             The Michigan Public Service Commission this
                             month ordered DTE to start reporting
                             information about debt sales every year. The
                             utility, however, fended off an effort to end
                             the practice altogether, according to
                             commission documents.


                      # ⚓ Hackaday ☛ China’s_Nuclear-Powered_Containership:_A
                        Fluke_Or_The_Future_Of_Shipping?⠀⇛


                             Since China State Shipbuilding Corporation
                             (CSSC) unveiled its KUN-24AP containership at
                             the Marintec China Expo in Shanghai in early
                             December of 2023, the internet has been abuzz
                             about it. Not just because it’s the world’s
                             largest container ship at a massive 24,000
                             TEU, but primarily because of the power
                             source that will power this behemoth: a
                             molten salt reactor of Chinese design that is
                             said to use a thorium fuel cycle. Not only
                             would this provide the immense amount of
                             electrical power needed to propel the ship,
                             it would eliminate harmful emissions and
                             allow the ship to travel much faster than
                             other containerships.


                # § Wildlife/Nature⠀➾


                      # ⚓ The Hill ☛ Imagining_the_next_50_years_of_the
                        Endangered_Species_Act⠀⇛


                             When President Nixon signed the Endangered
                             Species Act (ESA) 50 years ago this week, it
                             was with a virtual consensus of Congress:
                             only four representatives voted against it.
                             In the half-century since, the ESA has saved
                             about 200 species from extinction, including
                             the bald eagle, the white-tailed deer, and
                             the American alligator. It protects over
                             1,600 other species and their ecosystems,
                             providing countless economic and other
                             benefits to communities across the country.
                             These successes make the ESA, and
                             biodiversity conservation, highly popular
                             with Americans.


                # § Overpopulation⠀➾


                      # ⚓ David Rosenthal ☛ There_Is_No_Planet_B:_Part_2⠀⇛


                             Source In Part 1 I applied basic arithmetic
                             to the logistics of Elon Musk's claimed plans
                             for colonizing Mars in 2050 to show they were
                             implausible. Below the fold I continue, first
                             by discussing Maciej Cegłowski's equally
                             basic dissection of NASA's economically
                             implausible plans for Mars in Why Not Mars?.
                             Second, by reviewing the host of non-
                             logistical and non-economic problems facing
                             humans attempting to survive on Mars based
                             on:


                             Kelley and Zach Weinersmith's A City on Mars.


                             Towards Sustainable Horizons: A Comprehensive
                             Blueprint for Mars Colonization by Florian
                             Neukart.


          o § Finance⠀➾


                # ⚓ NDTV ☛ Amid_Layoffs,_Paytm_CEO_Shares_2024_To-Do_List
                  Featuring_Big_AI_Upgrades [Ed: Just spew out some buzzwords,
                  hope for the best]⠀⇛


                       Fintech giant Paytm's parent company, One97
                       Communication, has laid off 100s of employees
                       across verticals due to the firm's implementation
                       of Artificial Intelligence (AI) to bring automation
                       in its process and ensure cost-cutting. Amid the
                       layoffs, Paytm's Founder and CEO, Vijay Shekhar
                       Sharma, shared his to-do list for 2024 and what he
                       would like to change in the firm.


                # ⚓ Media_and_Tech_Industries_Hit_by_Record_Layoffs_in_2023⠀⇛


                       In a year marked by economic turbulence and ever-
                       evolving digital landscapes, the media industry
                       suffered an unprecedented wave of layoffs in 2023.
                       A staggering 20,000 jobs were axed in the sector,
                       the highest tally since the COVID-19 pandemic-
                       triggered job losses of 2020. This sixfold surge in
                       layoffs from 2022 is attributed to a myriad of
                       factors, including economic headwinds, inflation,
                       dwindling advertising revenues, fierce competition,
                       changing consumer behavior, less robust subscriber
                       counts, corporate strategy shifts, post-COVID
                       adjustments, technological advancements, and Wall
                       Street appeasement efforts.


                # ⚓ MIT Technology Review ☛ Meet_the_economist_who_wants_the
                  field_to_account_for_nature⠀⇛


                       Gretchen Daily, cofounder and faculty director of
                       the Stanford Natural Capital Project, has dedicated
                       her career to answering such complex questions.
                       Using emerging scientific data and the project’s
                       innovative open-source software, Daily and her team
                       help governments, international banks, and NGOs to
                       not only quantify the value of nature, but also
                       determine the benefits of conservation and
                       ecosystem restoration.


          o § AstroTurf/Lobbying/Politics⠀➾


                # ⚓ Silicon Angle ☛ Generative_AI_startup_Anthropic_reportedly
                  on_track_to_deliver_$850M_in_annual_revenue⠀⇛


                       Anthropic, which is backed by Amazon.com Inc. and
                       Google LLC, is one of a number of high-profile AI
                       startups attempting to take on OpenAI in the
                       generative AI industry. The best known generative
                       AI model is ChatGPT, which is renowned for its
                       ability to create humanlike responses to text and
                       audio prompts.


                # ⚓ India Times ☛ Anthropic_forecasts_more_than_$850_million_in
                  annualised_revenue_rate_by_2024-end:_report⠀⇛


                       Three months ago, the company told some investors
                       it was generating revenue at a $100 million
                       annualised rate and expected that figure would
                       reach $500 million by the end of 2024, according to
                       the report.


                # ⚓ The Register UK ☛ Infosys_loses_ten-year,_$1.5_billion
                  contract_announced_just_three_months_ago⠀⇛


                       That announcement included the caveat that Infosys
                       and the unnamed company would have to conclude a
                       Master Agreement to seal the deal.


                       A December 23rd filing revealed that didn’t happen.


                # ⚓ Federal News Network ☛ A_new_national_cyber_strategy,_and
                  ever-evolving_threats,_headline_another_busy_year_in_cyber⠀⇛


                       The most popular answer far and away was the Biden
                       administration’s release of a new national cyber
                       strategy. But regulatory activities, the emergence
                       of artificial intelligence, and some game-changing
                       cyber attacks were also among the most significant
                       developments of the past year.


                # ⚓ Techdirt ☛ The_Republican_Push_To_Ban_TikTok_Has_Very
                  Little_(And_Dwindling)_Real_World_Support⠀⇛


                       We’ve noted repeatedly how the Republican obsession
                       with TikTok is a hollow performance. This is a
                       party that refuses to pass a useful privacy law (or
                       to regulate data brokers). This is a party that
                       generally couldn’t care less about widespread
                       corruption, or its impact on national security.


                # § Misinformation/Disinformation/Propaganda⠀➾


                      # ⚓ El País ☛ The_dangerous_impact_of_‘fake_news’_on_the
                        lives_of_Spanish_speakers_in_the_United_States⠀⇛


                             Lies usually have greater reach than truths.
                             They spread much faster, a phenomenon that
                             has been exacerbated by globalization.
                             Misinformation spreads more and more quickly
                             across countries and continents through
                             social media and other channels of
                             information. Hoaxes tend to create a lot of
                             media confusion around current events, such
                             as the war on Gaza and the geopolitical
                             tensions between Israel and other countries,
                             the recent elections in Argentina, or the
                             announcement of new immigration laws in the
                             United States. Events that currently have the
                             world in suspense can be twisted by fake
                             news.


          o § Censorship/Free Speech⠀➾


                # ⚓ Meduza ☛ Russia_arrests_writer_Masha_Gessen_in_absentia_for
                  spreading_‘disinformation’_about_war⠀⇛


                       According to court documents, Gessen was put on
                       Russia’s federal wanted list on December 8 and
                       added to the international wanted list on December
                       12.


                # ⚓ Meduza ☛ Alexey_Navalny_shares_first_message_from_new
                  Arctic_prison_after_feared_disappearance⠀⇛


                       In a dispatch shared to social media, Navalny said
                       he was transferred to the remote village of Kharp
                       from his previous prison in Vladimir via a
                       roundabout route that took him through Moscow,
                       Chelyabinsk, Yekaterinburg, Kirov, and Vorkuta.


                # ⚓ The Age AU ☛ Putin_critic_Navalny,_missing_for_weeks,_turns
                  up_in_Arctic_Gulag_prison⠀⇛


                       His spokeswoman said on Monday that Navalny, 47,
                       had been tracked down to the IK-3 penal colony
                       north of the Arctic Circle located in Kharp in the
                       Yamal-Nenets region about 1900 kilometres north-
                       east of Moscow.


                # ⚓ Techdirt ☛ Substack_Turns_On_Its_‘Nazis_Welcome!’_Sign⠀⇛


                       Back in April Substack founder/CEO Chris Best gave
                       an interview to Nilay Patel in which he refused to
                       answer some fairly basic questions about how the
                       company planned to handle trust & safety issues on
                       their new Substack Notes microblogging service. As
                       I noted at the time, Best seemed somewhat confused
                       about how all this worked, and by refusing to be
                       explicit in their policies he was implicitly saying
                       that Substack welcomed Nazis. As we noted, this was
                       the classic “Nazi bar” scenario: if you’re not
                       kicking out Nazis, you get the reputation as “the
                       Nazi bar” even if you, yourself, don’t like Nazis.


          o § Freedom of Information / Freedom of the Press⠀➾


                # ⚓ BIA Net ☛ European_Federation_of_Journalists'_reaction_to
                  Erdoğan_on_Cyprus⠀⇛


                       EFJ Vice President Mustafa Kuleli stated, "The
                       Erdogan government is trying to export its
                       oppressive policies towards journalists in Turkey
                       to Cyprus," regarding journalist Ali Kişmir, who is
                       facing up to 10 years in prison for criticizing
                       Turkey's intervention in the Northern Cyprus
                       elections.


          o § Civil Rights/Policing⠀➾


                # ⚓ Papers Please ☛ Congress_watches_the_“watchlists”_—_but
                  will_Congress_act?⠀⇛


                       Earlier this month  CBS News broadcast an in-depth
                       report confirming that more than two million names
                       (up from 1.75 million names in 2019) are now on
                       U.S. government blacklists (euphemistically
                       described as “watchlists”) restricting travel and
                       other rights.


                       CBS also interviewed some of the U.S. citizens who,
                       without ever being accused of any crime or having
                       their day in court, and for no reason they know or
                       that the government will tell them, have been
                       stopped at gunpoint, delayed, or prevented from
                       flying.


                       Less than a week later, the Senate Homeland
                       Security and Government  Affairs Committee (HSGAC)
                       released a detailed staff report on the same issue,
                       “Mislabeled as a threat: How the terrorist
                       watchlist & government screening practices impact
                       Americans“.


                # ⚓ India Times ☛ X,_formerly_Twitter,_violated_contract_by_not
                  paying_millions_in_bonuses:_US_judge⠀⇛


                       Schobinger's suit alleged that before and after
                       billionaire Musk bought Twitter last year, it
                       promised employees 50% of their 2022 target bonuses
                       but never made those payments.


                # ⚓ Pro Publica ☛ Remains_of_Thousands_of_Native_Americans_Were
                  Returned_in_2023⠀⇛


                       American museums and universities repatriated more
                       ancestral remains and sacred objects to tribal
                       nations this year than at any point in the past
                       three decades, transferring ownership of an
                       estimated 18,800 Native American ancestors,
                       institutions reported.


                       And more repatriations are forthcoming. Museums,
                       universities and government agencies have filed 380
                       repatriation notices this year — more than the
                       previous two years combined — under the federal
                       Native American Graves Protection and Repatriation
                       Act, declaring that they plan to make human remains
                       and burial items available to tribes.


                # ⚓ Techdirt ☛ Fifth_Circuit_Tells_Wrongly_Convicted_Woman_She
                  Can’t_Sue_Over_Obvious_Judicial_Fuckery⠀⇛


                       When we’re young, impressionable, and financially
                       incapable of donating significant amounts of money
                       to super PACs, we’re taught that the American
                       government is a system of checks and balances.
                       Civics classes explain there are three branches of
                       government: executive, legislative, and judicial —
                       all of which are supposed to be independent and
                       equally powerful.


          o § Internet Policy/Net Neutrality⠀➾


                # ⚓ Techdirt ☛ Aylo’s_Deferred_Prosecution_Agreement_Will_Make
                  Pornhub_A_Much_Safer_Platform._Here’s_Why.⠀⇛


                       Aylo Holdings, the parent company of Pornhub and
                       some of the largest free and premium porn sites in
                       the world, agreed to a deferred prosecution
                       agreement (DPA) to help resolve a Federal Bureau of
                       Investigation probe into the platform’s conduct
                       related to a sex trafficking scheme.


                # ⚓ APNIC ☛ Three_of_the_best:_Measurement⠀⇛


                       Measurement is always a popular topic on the APNIC
                       Blog. This year, authors and guest authors measured
                       everything from qmin adoption to Apple’s new Relay
                       network. Here are three of the best: [...]


                # ⚓ Michael Geist ☛ The_Year_in_Review:_Top_Ten_Posts⠀⇛


                       Last week’s Law_Bytes_podcast features a look at
                       the year in review along with some guesses at what
                       lies ahead. Before wrapping up for the year, the
                       next three posts will highlight the most popular
                       posts, podcast episodes, and Substacks of the past
                       year. Today’s post starts with the top posts, which
                       starts with a recent look at Bill S-210 and
                       potential age verification and site blocking on the
                       Internet. With the exception of an examination of
                       Bill C-27’s Hey Hi (AI) regulations, the remaining
                       posts all involve online news and Bill C-18.


                       p>


          o § Digital Restrictions (DRM)⠀➾


                # ⚓ Gizmodo ☛ Amazon_Will_Inject_Ads_Into_Prime_Video_Starting
                  Jan._29th⠀⇛


                       The last major ad-free streaming service is going
                       away. Starting Jan. 29th, Amazon users will start
                       seeing advertisements appear on movies and TV shows
                       for Prime Video, according to an email sent to
                       subscribers on Tuesday. To keep Prime Video ad-
                       free, you’ll need to pay an additional $3 a month,
                       on top of the $139 a year members already pay for
                       Amazon Prime.


      § Monopolies/Monopsonies⠀➾


          o § Patents⠀➾


                # § Software Patents⠀➾


                      # ⚓ Dennis Crouch/Patently-O ☛ Emergency_Appeal_of_the
                        Fashion_Company_Apple_Watch_Ban⠀⇛


                             December 25th, marked the deadline for
                             President Biden to reject the U.S.
                             International Trade Commission’s (USITC)
                             ruling banning imports of certain Fashion
                             Company Apple Watch models. With no action
                             from the White House, Fashion Company Apple
                             now faces a federal government order to halt
                             imports and sales of Fashion Company Apple
                             Watch Series 9 and Ultra 2 devices because it
                             incorporates light-based pulse oximetry
                             technology covered by the claims of Masimo’s
                             U.S. Patent Nos. 10,945,648 (claims 24 and
                             30) and 10,912,502 (claim 22).


                      # ⚓ The Verge ☛ Apple_appeals_US_ban_on_Apple_Watch_Ultra
                        2_and_Series_9⠀⇛


                             The models, which Apple says are their most
                             popular, were banned after the ITC found that
                             Apple infringed on blood oxygen saturation
                             technology patented by health tech firm
                             Masimo.


                      # ⚓ Reuters ☛ Apple_files_appeal_after_Biden
                        administration_allows_US_ban_on_watch_imports⠀⇛


                             Masimo has accused Apple of hiring away its
                             employees, stealing its pulse oximetry
                             technology and incorporating it into the
                             popular Apple Watch.


                      # ⚓ The Verge ☛ Apple_is_now_banned_from_selling_its
                        latest_Apple_Watches_in_the_US⠀⇛


                             Apple can no longer sell the Watch Series 9
                             and Watch Ultra 2 in the US after President
                             Joe Biden’s administration declined to veto
                             the ban today.


                      # ⚓ CNBC ☛ Apple_files_appeal_after_Biden_administration
                        allows_U.S._ban_on_watch_imports⠀⇛


                             "There's nothing legally extraordinary about
                             the ITC issuing an exclusion order," Matich
                             said. "What's extraordinary here is that the
                             product at issue is high profile and that
                             Apple has chosen to live with the ITC order
                             rather than settle."


                      # ⚓ India Times ☛ Apple_files_appeal_after_Biden
                        administration_allows_US_ban_on_watch_imports⠀⇛


                             The US International Trade Commission's (ITC)
                             order bars imports and sales of Apple Watches
                             that use technology for reading blood-oxygen
                             levels. Apple has included the pulse oximeter
                             feature in its smart watches starting with
                             its Series 6 model in 2020.


                      # ⚓ India Times ☛ Apple_Watch_import_ban_goes_into_effect
                        in_US_patent_clash⠀⇛


                             In September, Apple released its Apple Watch
                             Series 9, touting increased performance along
                             with features such as the ability to access
                             and log health data.


                      # ⚓ El País ☛ Apple_seeks_a_path_to_getting_two_of_its
                        best_watches_back_on_shelves_during_a_bitter_patent
                        dispute⠀⇛


                             On Oct. 26, the ITC determined that Apple
                             infringed on two patents owned by Masimo
                             Corp. and Cercacor Laboratories, both U.S.
                             companies. After a 60-day review, the ITC’s
                             decision became final Tuesday, but the
                             company had already pulled the watches from
                             store shelves and removed them from its
                             online sales lineup.


                      # ⚓ El País ☛ Apple_to_halt_sales_of_its_newest_watches
                        in_US_over_patent_dispute⠀⇛


                             The disruption will likely cost Apple about
                             $300-400 million in holiday-season sales,
                             estimated Wedbush Securities analyst Dan
                             Ives. That’s a relative drop in the bucket
                             for Apple, given analysts are expecting Apple
                             to generate nearly $120 billion in sales
                             during the October-December period that
                             includes the holiday shopping season.


                      # ⚓ Quartz ☛ Biden_says_it's_fine_to_ban_the_fancy_Apple
                        Watches_in_America⠀⇛


                             The disagreement at the center of the ban
                             stems from the technology Apple Watches use
                             for their blood oxygen monitor features. A
                             medical device company called Masimo said
                             Apple’s version of the light-based pulse
                             oximeter violated a patent for a similar
                             piece of Masimo hardware, so it took Apple to
                             court. That suit ended in a mistrial, but
                             Masimo also sought intervention from the ITC,
                             which gave it some relief.


          o § Copyrights⠀➾


                # ⚓ Torrent Freak ☛ Reckless_DMCA_Deindexing_Pushes_NASA’s
                  Artemis_Towards_Black_Hole⠀⇛


                       Behind the scenes, however, the ability to find
                       relevant content is under attack. Blundering DMCA
                       takedown notices sent by a company calling itself
                       DMCA Piracy Prevention Inc. claim to protect the
                       rights of an OnlyFans/Instagram model working under
                       the name ‘Artemis’.


                       Instead, keyword-based systems that fail to
                       discriminate between copyright-infringing content
                       and that referencing the word Artemis in any other
                       context, are flooding towards Google. They contain
                       demands to completely deindex non-infringing,
                       unrelated content, produced by innocent third
                       parties all over the world.


                # ⚓ Techdirt ☛ How_Copyright_Hinders_The_Preservation_Of
                  Modern,_Digital_Culture⠀⇛


                       In practice, that means that as platforms become
                       obsolete and are phased out, they can take with
                       them the digital artefacts that depend on those
                       platforms to be accessed. Technical solutions exist
                       that can help deal with these issues. For example,
                       code stored on old physical formats can be
                       transferred to new ones, and software emulators can
                       help keep digital artefacts alive that might
                       otherwise be impossible to access. That’s the good
                       news.


                       The bad news is that there’s a big problem in the
                       form of copyright law. Generally speaking,
                       technical solutions can only be applied with the
                       permission of the copyright holders. If the latter
                       can’t be found – hard enough with physical books,
                       often impossible for complex pieces of outdated
                       software – these characteristic digital creations
                       may be doomed to disappear. The severity of
                       punishments for copyright infringement are so
                       disproportionate, that researchers and curators are
                       understandably unwilling to risk being taken to
                       court for their preservation work – good intentions
                       are no defense. Moreover, it’s a threat that
                       continues to hang over cultural institutions for
                       decades as a result of copyright’s absurdly long
                       term.


                # ⚓ The Guardian UK ☛ Digital_curator_Giulia_Carla_Rossi:
                  ‘There_is_a_misconception_that_if_something_is_on_the
                  internet_it_will_last_for_ever’⠀⇛


                       It’s perhaps a testament to the originality of the
                       project that there’s no single, casual term for the
                       works that you’re collecting. What sorts of things
                       is Emerging Formats interested in? We use “emerging
                       formats” to refer to what we call complex born-
                       digital publications. They’re publications created
                       first and foremost to be published, distributed and
                       read in a digital environment. But they are also
                       structurally and technically more complex than
                       digital publications that we currently collect at
                       scale, such as PDFs, standard ebooks or e-journals.
                       There are more challenges for us because of their
                       complexity, but for the same reason, they’re also
                       more fragile. They rely on the original software
                       and hardware they were designed for, which
                       increases the risk of disappearance if you don’t
                       collect them in a timely manner.


                       We’ve mostly focused on web-based interactive
                       narratives (digital choose-your-own-adventure
                       stories, stories that use live data, stories that
                       are written collaboratively, or stories that
                       respond to a specific location). But we’ve also
                       looked at apps, both Android and iOS.


                # ⚓ Techdirt ☛ Brian_May_With_An_Awesome_Response_To_Reports_Of
                  Queen_Videos_Getting_Copyright_Strikes⠀⇛


                       Copyright strikes on hosted video content happens
                       all the time. There are tons of strikes issued in
                       error, plenty that are purely fraud and abuse, and
                       a bunch that may have been done in good faith but
                       completely fail to recognize if and when specific
                       content would be protected by fair use. What
                       doesn’t happen nearly often enough when these
                       strikes occur is to have the content producer, on
                       who’s behalf the strike was issued, get directly
                       involved in the defense of those receiving the
                       strike.


          o § Gemini* and Gopher⠀➾


                # § Personal/Opinions⠀➾


                      # ⚓ Everything⠀⇛


                             This line caused some difficulty for Lojban;
                             the problem stems from the notion of "having
                             lost everything" but still having a sharp
                             stick and the means to stick it to the bad
                             guy. The set of everything presumably
                             includes pointy sticks: it's not much of an
                             everything otherwise. And if one has a sharp
                             stick, then a Sith lord (or whomever) could
                             lop off limbs, which points to the fact that
                             there was not nothing left to lose.


                             [...]


                             Natural languages are messy, which leads to
                             statements that are false such as "everyone
                             owns a smartphone". One need only find one
                             person who lacks a smartphone to send this
                             argument down in flames.


                      # ⚓ hi_midnight_pub⠀⇛


                             in a life before COVID, i bartended an entire
                             career.


                             i worked at corporate chain restaurants,
                             fancy steak houses, shady bars in the under
                             commons.


                      # ⚓ Contents_of_a_drawer⠀⇛


                      # ⚓ Electric_cars:_reprise⠀⇛


                             No cars is better than any cars of any kind -
                             - that is true; public transit, density and
                             sensible city planning are much better.


                             In the meantime, electric cars do offer a
                             reasonable-seeming solution for short
                             suburban commutes with lots of time to
                             recharge, in places where infrastructure is
                             available.


                             But I still think we are fooling ourselves
                             about pollution (unless we are in Norway or
                             some place that does not use coal). Batteries
                             should not be equated to fuel - they hold
                             fuel. Think of batteries as $20,000 fuel
                             tanks - fuel tanks with holes, losing 15% to
                             40% of their content with every charge
                             (battery efficiency is far from 100%). The
                             fuel itself comes substantially from the
                             coal-burning plant you can't see, where poor
                             people live.


                      # ⚓ Mickey_not_the_Apple_of_mine_eye⠀⇛


                             I couldn't grasp what I might have called
                             "Disney people" back when I grew up feasting
                             on cartoons in the late 1960s and early
                             1970s. To me the animation seemed second rate
                             compared to other offerings, and the stories/
                             humor too tame (the 1970s term was "lame"..).
                             Disney offerings seemed about half a step up
                             from "Speedy Racer", if ya know what I
                             mean.... ;-)


                      # ⚓ Mickey_not_the_Apple_of_mine_eye⠀⇛


                             I've purchased exactly one Apple product, and
                             while that Macbook Pro seemed "slick" for a
                             season, it's the only computer I've ever
                             owned that went utterly "brick up" on me -
                             and *far* sooner than its price suggested it
                             should.


                      # ⚓ RE:_The_artist's_position_in_society⠀⇛


                             When someone says something like "I live in
                             Chicago" you don't assume that this person
                             thinks everyone lives there or should move
                             there. A typical reply might be "Well, I live
                             in Utrecht," or whatever your location
                             happens to be, and that reply might be taken
                             as a mild retort to an unspoken assumption
                             that only Chicago matters. This example of
                             course is contrived to the point of parody,
                             but you might hear similar dialogues playing
                             out around consumer choices or various
                             matters of lifestyle. — I bought this red
                             jumper, says one girl. — I bought a new
                             skirt, replies the other girl. They are both
                             just talking about themselves, though it
                             might seem as if they made normative
                             statements. And maybe they are, even if not
                             expressly.


                # § Technology and Free Software⠀➾


                      # ⚓ Testing_bcachefs⠀⇛


                             It has been added to linux 6.7 and to test
                             bcachefs I compiled linux 6.7 rc6+ (latest on
                             master 231223) and created 40GB partition.


                             It feels faster than ZFS, the algorithms in
                             bcachefs are very efficient. Send and receive
                             are missing, it would allow us to copy
                             snapshots to other machines and an efficient
                             backup system (the all meta data would be
                             sent to the receiving machine and bcachefs
                             stores the checksums on disk, the receiving
                             machine only compares the checksums from the
                             sending machine whereas rsync computes the
                             checksums in both sending and receiving
                             machine for each run).


                      # ⚓ Compiling_linux_(6.7)⠀⇛


                             Over time, there are more and more
                             dependencies to install to be able to compile
                             linux.


                      # ⚓ Writing_For_Others⠀⇛


                             There was a time in my youth when I first
                             connected to the internet in the early to
                             mid-1990s. I was a teenager then and
                             exploring what it means to be connected to
                             people outside of your own hometown
                             community. At that time there weren't these
                             large social networks that we have today, and
                             the best you could do was either IRC, ICQ, or
                             AIM for instant messaging, but even then you
                             had to be online and most - if not all - of
                             your contacts were just your friends and
                             acquaintances from school.


                      # § Internet/Gemini⠀➾


                            # ⚓ Internet_History_and_IP/OSI_Protocol_Wars⠀⇛


                                   I recently read up on parts of Internet
                                   history, about IP versus OSI etc. and
                                   the pros and cons of each approach.


                                   It started with the ARPA group of
                                   people around Vint Cerf, Jon Postel in
                                   the Internetworking Group (INWG)
                                   working with informal memos and loosely
                                   traded RFCs, patchwork solutions,
                                   working code, starting with a local
                                   solution and growing it etc. instead of
                                   starting with an architecture, thinking
                                   it through, putting it all into
                                   standards, documenting it well, add
                                   testing procedures, how can products
                                   get certified etc.


===============================================================================
* Gemini_(Primer) links can be opened using Gemini_software. It's like the
World Wide Web but a lot lighter.





                    ䷩ 𝚕𝚒𝚗𝚎 3666

╒═══════════════════ 𝐃𝐀𝐈𝐋𝐘 𝐋𝐈𝐍𝐊𝐒 ═════════════════════════════════════════════╕

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Links 27/12/2023: DragonFlyBSD Mirror in
Nanjing, China; New Bounties on Software Patent
Squashing⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Dec 27, 2023


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Christmas_Calendar_Art⦈_


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * Leftovers
          o Science
          o Hardware
          o Health/Nutrition/Agriculture
          o Privacy/Surveillance
    * Defence/Aggression
    * Environment
          o Energy/Transportation
    * AstroTurf/Lobbying/Politics
          o Misinformation/Disinformation/Propaganda
    * China
    * Civil_Rights/Policing
    * Internet_Policy/Net_Neutrality
    * Digital_Restrictions_(DRM)
    * Monopolies/Monopsonies
          o Patents
          o Trademarks
    * § Leftovers⠀➾


          o ⚓ New York Times ☛ ‘Parasite’_Actor_Lee_Sun-kyun_Dies_Amid_Drug_Use
            Allegations⠀⇛


                 Mr. Lee, a familiar face on Korean television and movie
                 screens, had been under police investigation for months
                 on suspicion of illegal drug use. He denied the
                 accusations.


          o ⚓ TwinCities Pioneer Press ☛ South_Korean_actor_Lee_Sun-kyun_of
            Oscar-winning_film_‘Parasite’_is_found_dead⠀⇛


                 He was found dead after weeks of an intense police
                 investigation into his alleged drug use.


          o ⚓ YLE ☛ Finns_return_fewer_online_purchases⠀⇛


                 Online shopping has become more common, but Finns are
                 less likely than before to return products.


          o ⚓ Hong Kong Free Press ☛ Hong_Kong_residents_make_over_1.32_million
            outbound_trips_during_Christmas_holiday_weekend⠀⇛


                 Hong Kong has recorded over 1.32 million outbound trips
                 made by residents during the Christmas holiday weekend,
                 almost triple the amount of visitor arrivals. According
                 to figures released by the Immigration Department,
                 Hongkongers made 1,327,744 departures via various
                 checkpoints from Saturday to Monday.


          o § Science⠀➾


                # ⚓ Science Alert ☛ Japan_Probe_Enters_Lunar_Orbit_Ahead_of
                  Historic_Moon_Landing⠀⇛


                       The big moment approaches.


                # ⚓ Science Alert ☛ Expert_Reveals_a_Surprising_Link_Between
                  Oral_Health_And_Your_Brain⠀⇛


          o § Hardware⠀➾


                # ⚓ Tom's Hardware ☛ CHIPS_Act:_The_rebirth_of_America's
                  semiconductor_industry? [Ed: Nope. Another grotesque bailout
                  or corporate welfare at taxpayers' expense.]⠀⇛


                       CHIPS Act: The rebirth of America's semiconductor
                       industry?


                # ⚓ Tom's Hardware ☛ Intel_secures_$3.25B_Israeli_gov't_grant
                  to_build_$25B_chip_fab_in_Israel_amid_ongoing_tensions [Ed:
                  Intel is all bailouts, taking money from taxpayers instead of
                  earning it. How many companies out there can just ask, even
                  demand in foreign nations, that taxpayers bail them out? The
                  world does not need Intel or even x86, it needs to get away
                  from both.]⠀⇛


                       Intel to build a $25 billion fab in Israel, set to
                       get $3.25 billion in government grants.


                # ⚓ Silicon Angle ☛ Intel_receives_$3.2B_grant_from_Israel’s
                  government_to_build_$25B_chip_fab⠀⇛


                  [Ed: People paying tax to sponsor, subsidise, bail out a
                  foreign company that is failing the market, spreading back
                  doors, attacking charities, and committing many crimes. Does
                  free market mean that the ruling powers are free from
                  prosecution and taking tax from the public into private hands
                  is "national security"?]
                       Intel Corp. has received a $3.2 billion grant from
                       the government of Israel to build a new $25 billion
                       chip fab in the country. The company announced the
                       deal today.


                # ⚓ Hackaday ☛ Restoring_The_DC_Bias⠀⇛


                       If you have a signal that passes through a
                       capacitor or transformer, you will lose the DC
                       portion of the signal. What do you do? If you need
                       it, you can restore the DC bias using various
                       techniques, as [Sam Ben-Yaakov] shows in a recent
                       video.


                # ⚓ Hackaday ☛ It’s_Switch_Mode,_But_Not_As_You_Know_It⠀⇛


                       The switch-mode power supply has displaced
                       traditional supplies almost completely over the
                       last few decades, being smaller, lighter, and more
                       efficient. But that’s not to say that it’s a new
                       idea, and on the way to today’s high-frequency
                       devices there have been quite a few steps. An
                       earlier one is the subject of a teardown video from
                       [Thomas Scherrer OZ2CPU], as he takes a look at a
                       1960s HP power supply with a slightly different
                       approach to regulation for the day. Instead of a
                       linear regulator on its conventional transformer
                       and rectifier circuit, it has a pair of SCRs in the
                       mains supply that chop at mains frequency. It’s a
                       switch mode supply, but not quite as you’re used
                       to.


                # ⚓ CNX Software ☛ TTS-20_Pro_laser_engraver_review⠀⇛


                       TwoTrees TTS-20 Pro 20W is a compact, lightweight
                       laser engraver that can be used with wood, plastic,
                       leather, and metal. It can either be used for
                       businesses that want to start producing items or
                       schools that want students to learn how to create
                       pieces, whether it’s cutting work or various
                       engraving, the TTS-20 Pro 20W laser engraving
                       machine is easy to use and safe.


                # ⚓ CNX Software ☛ GL.iNet_GL-MT6000_“Flint_2”_WiFi_6_router
                  review_–_Part_1:_Unboxing,_teardown,_and_first_try⠀⇛


                       GL.iNet Flint 2 (also known as GL-MT6000) is a new
                       WiFi 6 AX6000 router based on MediaTek MT7986
                       (Filogic 830) Arm SoC running of fork OpenWrt 23.05
                       and claims up of up tup to 900 Mbps VPN speed using
                       WireGuard.


          o § Health/Nutrition/Agriculture⠀➾


                # ⚓ Science Alert ☛ Space_Anemia:_A_Rocket_Launch_Might_Cause
                  Your_Blood_Cells_to_Burst⠀⇛


                       Hypergravity is no joyride.


                # ⚓ Science Alert ☛ Sperm_Counts_Are_Falling_Worldwide._But_You
                  Can_Help_Protect_Yours.⠀⇛


                       The effects go way beyond fertility.


                # ⚓ Science Alert ☛ Scientists_Destroy_99%_of_Cancer_Cells_in
                  The_Lab_Using_Vibrating_Molecules⠀⇛


                       "A different way to treat cancer."


                # ⚓ BIA Net ☛ Wanted_with_a_red_notice,_Eric_Schroeder
                  apprehended_in_İstanbul⠀⇛


                       Eric Schroeder, wanted for trading marijuana and
                       cocaine in Germany, was apprehended in an operation
                       conducted by the İstanbul Police Department's
                       Narcotics and Intelligence branches.


                # ⚓ Off Guardian ☛ Freedom_—_One_Liberated_Fashion_Company
                  Apple_at_a_Time⠀⇛


                       A minor but significant spark of direct action
                       occurred in New York on 15 December. A group of
                       people entered a Whole Foods store (owned by
                       Amazon), took groceries without paying and exited
                       wearing Jeff Bezos masks.


                # ⚓ Hong Kong Free Press ☛ Hong_Kong_urged_to_step_up_machine
                  safety_measures_after_landfill_worker_death⠀⇛


                       A Hong Kong lawmaker has urged the government to
                       enhance work safety protection after a landfill
                       worker died on Christmas Day. Legislator Michael
                       Tien wrote in a Chinese-language Facebook
                       (Farcebook) post on Tuesday that he had previously
                       called on authorities to mandate safety mechanisms
                       on machines used on construction sites.


          o § Privacy/Surveillance⠀➾


                # ⚓ Bruce Schneier ☛ Google_Stops_Collecting_Location_Data_from
                  Maps [Ed: The EFF, where Schneier is on the Board, continues
                  to take Google money... while telling us it fights for
                  privacy]⠀⇛


                       Google Maps now_stores location data locally on
                       your device, meaning that Surveillance Giant Google
                       no longer has that data to turn over to the police.


    * § Defence/Aggression⠀➾


          o ⚓ The Straits Times ☛ South_Korea_sanctions_North_Korea_spy_chief
            for_illicit_cyber_activities⠀⇛


                 South Korea imposed sanctions on eight North Koreans
                 linked to nuclear and missile development through arms
                 trade, cyberattacks and other illicit activities, Seoul's
                 foreign ministry said on Wednesday.


          o ⚓ RFA ☛ S_Korea_issues_unilateral_sanctions_on_8_N_Korean
            individuals⠀⇛


                 They bring the total to 83 individuals and 53
                 institutions under the current Yoon administration.


          o ⚓ RFA ☛ O_come_all_ye_faithful_–_or_else!⠀⇛


                 North Koreans are forced to visit historical sites during
                 Kim Jong Il’s mourning period.


          o ⚓ The Straits Times ☛ North_Korean_leader_Kim_Jong_Un_convenes_key
            party_meeting_ahead_of_new_year⠀⇛


                 North Korean leader Kim Jong Un has kicked off a key
                 meeting of the country's ruling party, state media KCNA
                 reported on Wednesday, setting the stage for unveiling
                 policy decisions for the new year.


          o ⚓ BIA Net ☛ Gabar_Mountain_declared_'special_security_zone'⠀⇛


                 The decision comes after two deadly attacks by the PKK
                 targeting Turkish military outposts in Iraq's Kurdistan
                 region on December 22 and 23, killing 12 soldiers. The
                 mountain is situated near Turkey's border with Iraq.


          o ⚓ Marcy Wheeler ☛ In_Lev_Parnas_Investigation,_SDNY_Decided_that
            Ivana_Trump_Is_Not_Political⠀⇛


                 When SDNY obtained a warrant for Lev Parnas' Instagram
                 account in December 2019, they chose not to obtain a
                 photo showing Ivana Trump at an event for Parnas'
                 fraudulent Fraud Guarantee business, months before Parnas
                 first started buying access to Donald Trump.


          o ⚓ Marcy Wheeler ☛ SDNY_Obtained_Warrant(s)_for_Foreign_Agent
            Charges_before_John_Demers_Reviewed_the_Perfect_Transcript⠀⇛


                 Before Bill Barr's DOJ treated the criminal referral of
                 Trump's "perfect phone call" with Volodymyr Zelensky,
                 SDNY had already made the Lev Parnas investigation a
                 national security investigation.


          o ⚓ New York Times ☛ Satellite_Images_Show_Israel’s_Expanded_Fighting
            in_Central_Gaza⠀⇛


                 A military spokesman confirmed the move on the latest
                 front in Israel’s war against Hamas.


          o ⚓ France24 ☛ US_carries_out_air_strikes_on_sites_used_by_Iran-
            backed_forces_in_Iraq⠀⇛


                 The US military carried out strikes on three sites used
                 by Iran-backed forces in Iraq on Monday after an attack
                 wounded three American personnel earlier in the day,
                 Defense Secretary Lloyd Austin said.


          o ⚓ RFERL ☛ Israeli_Air_Strike_In_Syria_Kills_Commander_Of_Iran's
            Revolutionary_Guards⠀⇛


                 Razi Mousavi, a senior adviser in Iran's Islamic
                 Revolutionary Guards Corps (IRGC), has been killed in an
                 Israeli air strike near the Syrian capital, Damascus,
                 according to Iranian state media.


          o ⚓ CS Monitor ☛ Regional_conflict_simmers:_President_Biden_sends
            airstrikes_to_Iraq⠀⇛


                 President Biden ordered retaliatory airstrikes against
                 Iranian-backed militia groups, following a drone attack
                 in northern Iraq that injured three U.S. servicemembers.
                 The Iraqi Prime Minister says U.S. actions in Iraq,
                 "constitute a clear hostile act."


          o ⚓ BIA Net ☛ Eight_killed_in_the_airstrikes_of_Turkey_announces_the
            Autonomous_Administration⠀⇛


                 The Autonomous Administration of North and East Syria
                 stated that eight people lost their lives, 18 people were
                 injured, and more than 2,600 towns and villages were left
                 without electricity in the 40 attacks carried out by the
                 Turkish Armed Forces on December 25.


          o ⚓ BIA Net ☛ Turkey_strikes_infrastructure_in_Rojava_following_PKK
            attack⠀⇛


                 After 12 soldiers were killed in two separate PKK attacks
                 targeting Turkish military outposts in Iraq’s Kurdistan
                 region, Turkey carried out retaliatory strikes in both
                 Syrian and Iraqi territory.


          o § Russia, Belarus, and War in Ukraine⠀➾


                # ⚓ France24 ☛ Ukrainian_air_strike_damages_Russian_naval_ship
                  in_Crimea⠀⇛


                       The Kremlin on Tuesday acknowledged a Ukrainian
                       attack had damaged a warship in the occupied
                       Crimean port of Feodosia in what Ukraine and its
                       Western allies called a major setback for the
                       Russian navy.


                # ⚓ France24 ☛ Turkey_parliament_committee_approves_Sweden's
                  bid_to_join_NATO⠀⇛


                       A key committee in the Turkish parliament on
                       Tuesday approved Sweden's bid to join NATO after
                       months of delays, clearing another hurdle in the
                       Nordic country's accession process in the wake of
                       Russia's invasion of Ukraine last year.


                # ⚓ JURIST ☛ Ukraine_intelligence_chief_arrested_in_absentia_by
                  Russia_court_for_second_time⠀⇛


                       The Basmanny District Court of Moscow ruled to
                       arrest Ukrainian Intelligence Chief Kyrylo Budanov
                       in absentia for the second time this year, accusing
                       him of committing over 104 crimes including acts of
                       terror.


                # ⚓ LRT ☛ Europe_must_prepare_for_Trump’s_return_–_interview⠀⇛


                       Russia’s invasion of Ukraine has destroyed a key
                       advantage of Europe – its strategic stability – and
                       will present an already troubled continent with
                       even greater challenges in the future. “Europeans
                       must ask themselves how they would react to a
                       possible re-election of Trump and what would be the
                       consequences of it for their own security,” Thomas
                       Gomart, director of the French Institute of
                       International Relations (IFRI), says in an
                       interview with LRT.lt.


                # ⚓ RFERL ☛ 1_Dead_In_Russian_Strike_On_Kherson_Train_Station,
                  Says_Ukrainian_Interior_Minister⠀⇛


                       A Russian strike on a train station in the southern
                       Ukrainian city of Kherson has killed at least one
                       person and wounded four others, the Ukrainian
                       interior minister said on December 26.


                # ⚓ RFERL ☛ Ukrainian_Air_Force_Claims_Destruction_Of_Russian
                  Ship_In_Crimea;_Moscow_Confirms_Missile_Strike⠀⇛


                       Ukraine's air force hit a major naval port on the
                       Russian-occupied Crimean Peninsula, and claimed a
                       Russian naval landing ship docked there was
                       destroyed.


                # ⚓ RFERL ☛ Ukraine_Seeks_To_Terminate_Free-Trade_Deal_With
                  Belarus⠀⇛


                       Ukraine's government has proposed to parliament
                       terminating a free-trade agreement with Belarus,
                       which supports Russia's invasion of Ukraine that
                       began in February 2022, cabinet minister Taras
                       Melnychuk said on December 25.


                # ⚓ teleSUR ☛ Russia_Achieves_Main_Goal_of_2023_in_Ukraine:
                  Shoigu⠀⇛


                       "Ukraine is a de facto bankrupt country,"
                       Russian Defense Minister Sergei Shoigu pointed out.


                # ⚓ The Straits Times ☛ Ghost_ships_at_reawakened_North_Korea
                  port_put_Ukraine_in_peril⠀⇛


                       Experts say there is a burgeoning trade in arms
                       with Russia destined for the front lines in
                       Ukraine.


                # ⚓ New York Times ☛ Ukraine_Attacks_Novocherkassk,_a_Russian
                  Warship,_in_Crimea⠀⇛


                       A major military success at sea against Russia’s
                       Black Sea Fleet was tempered by Ukraine’s
                       acknowledgment that it had all but retreated from
                       the city of Marinka.


                # ⚓ New York Times ☛ Wednesday_Briefing:_A_Success_and_a
                  Setback_for_Ukraine⠀⇛


                       Also, the U.S. hit Iran-backed fighters in Iraq.


                # ⚓ France24 ☛ Kremlin_critic_Navalny_says_he’s_‘fine’_after
                  transfer_to_Arctic_penal_colony⠀⇛


                       Russian opposition leader Alexei Navalny on Tuesday
                       said he was “fine” after a “pretty exhausting” 20-
                       day transfer from his prison near Moscow to a penal
                       colony beyond the Arctic Circle.


                # ⚓ JURIST ☛ Alexei_Navalny_found_in_remote_Siberian_penal
                  colony_weeks_after_Russian_prison_disappearance⠀⇛


                       According to a statement Monday by a spokesperson
                       for prominent Russian dissident, Alexei Navalny, he
                       has been located in the Russian penal system in IK-
                       3 in the settlement of Kharp in the Yamal-Nenets
                       Autonomous District in northwestern Siberia.


                # ⚓ RFERL ☛ Russia_To_Deploy_Newest_Howitzers_Close_To_Finland,
                  Norway⠀⇛


                       Russia will soon deploy its newest howitzers to its
                       Northern Military District that borders Finland and
                       Norway, the head of the Rostec state defense
                       conglomerate said in remarks published on December
                       27.


                # ⚓ RFERL ☛ Kremlin_Critic_Aleksei_Navalny_Confirms_His_Arrival
                  At_Arctic_Prison⠀⇛


                       Kremlin critic Aleksei Navalny has published his
                       first message from the Arctic prison he has been
                       transferred to, telling his followers on X,
                       formerly Twitter, not to worry about him after an
                       absence of more than two weeks that raised concerns
                       about his well-being.


                # ⚓ RFERL ☛ Armenia's_Pashinian_Vows_To_Focus_On_Economics_As
                  Chair_Of_Eurasia_Grouping⠀⇛


                       Armenian Prime Minister Nikol Pashinian said on
                       December 25  that he plans to put economic
                       cooperation ahead of any “political ambitions” of
                       members when he assumes the rotating chairmanship
                       of the Russia-led Eurasian Economic Union in 2024.


                # ⚓ teleSUR ☛ Russia_Lambasts_Unacceptable_US_Claims_in_Arctic
                  Region⠀⇛


                       On Dec. 19, the State Department released
                       geographic coordinates defining the outer limits of
                       the U.S. extended continental shelf.


                # ⚓ New York Times ☛ Aleksei_Navalny,_in_Letter,_Describes
                  Transfer_to_Arctic_Prison⠀⇛


                       The comments from the Russian opposition leader
                       were written with a heavy dose of humor, and seemed
                       intended to assuage concerns among allies after his
                       three-week disappearance.


    * § Environment⠀➾


          o § Energy/Transportation⠀➾


                # ⚓ Reason ☛ William_Barr_Responds_on_American_Petroleum
                  Institute_v._Minnesota [Ed: Reason is a sponsored mouthpiece
                  of the Koch Brothers, hiding their deliberate denial of facts
                  as "free speech"]⠀⇛


                       The former Attorney General disagrees with me on
                       whether state and local government climate change
                       lawsuits belong in federal court.


    * § AstroTurf/Lobbying/Politics⠀➾


          o § Misinformation/Disinformation/Propaganda⠀➾


                # ⚓ Detect_DeepFakes:_How_to_counteract_misinformation_created
                  by_AI⠀⇛


                       Participate in the experiment at...


    * § China⠀➾


          o ⚓ DragonFly BSD Digest ☛ New_mirror_added⠀⇛


                 Yao Ge has created a new DragonFly mirror in Nanjing,
                 China.  It’s on the mirrors page too.


          o ⚓ The Straits Times ☛ North-west_China_cities_halt_heavy_industries
            to_curb_pollution⠀⇛


                 The weather agency predicted dense haze for the country’s
                 north and east from early Dec 28 to Dec 30.


          o ⚓ RFA ☛ Has_a_US_report_proposed_cutting_economic_ties_between_the
            US_and_China?⠀⇛


                 Verdict: Misleading


          o ⚓ The Straits Times ☛ Canada_ready_to_pay_settlements_to_two_men
            imprisoned_in_China_in_2018:_Report⠀⇛


                 Canada's government is willing to sign off on
                 multimillion-dollar settlement packages for Canadians
                 Michael Spavor and Michael Kovrig to compensate them for
                 the near three years they were incarcerated in Chinese
                 prisons, the Globe and Mail reported on Tuesday, citing
                 government sources.


          o ⚓ The Straits Times ☛ China_sanctions_US_firm,_two_researchers_over
            Xinjiang_work⠀⇛


                 The move will escalate a dispute between the nations over
                 allegations of forced labour.


          o ⚓ The Straits Times ☛ China_threatens_more_trade_sanctions_on
            Taiwan_as_election_nears⠀⇛


                 Taiwan’s presidential and parliamentary elections are
                 taking place in January.


          o ⚓ The Straits Times ☛ Whisky_and_the_coal_mining_‘shack’:_Taiwan
            election_is_not_only_about_China⠀⇛


                 The candidates are exchanging blows over everything from
                 property disputes to whether drinking whisky is out of
                 touch.


          o ⚓ RFA ☛ Three_remain_missing_in_sub_accident:_Taiwan_Navy⠀⇛


                 Taiwan Navy’s naval staff chief said the trio were swept
                 away by sudden strong waves during training.


    * § Civil Rights/Policing⠀➾


          o ⚓ BIA Net ☛ Education_union_reacts_to_naming_of_school_after
            'torturer'⠀⇛


                 The Education and Science Employees' Union (Eğitim Sen),
                 İzmir Branch No. 5, released a statement regarding the
                 change of the name of a school in Buca to "Martyr Esat
                 Oktay Yıldıran Primary School."


          o ⚓ New York Times ☛ Tesla_Strike_in_Sweden_Highlights_a_Culture
            Clash⠀⇛


                 Workers seeking a collective agreement from the automaker
                 say they are pushing for their rights, but car owners see
                 them as taking the fight too far.


    * § Internet Policy/Net Neutrality⠀➾


          o ⚓ Science Alert ☛ We_Just_Got_a_Major_Step_Closer_to_Teleporting
            Images_Using_Only_Light⠀⇛


                 Another step towards Star Trek.


          o ⚓ Didier Stevens ☛ [Old]_Update:_format-bytes.py_Version_0.0.15⠀⇛


                 This new version of format-bytes.py adds IPv6
                 representations: Big-endian (b), little-endian (l) and 4
                 32-bit little-endian unsigned integers (l4). And if you
                 use a # to pass on literal data (here in hexadecimal:
                 #h#), then the data is also printed.


    * § Digital Restrictions (DRM)⠀➾


          o ⚓ Reason ☛ Fifth_Circuit_Rejects_Younger_Abstention_Claim_by
            Prosecutor_Seeking_to_Prosecute_DRM_spreader_Netflix_for_Airing
            "Cuties"⠀⇛


                 A rare federal court decision denying Younger abstention.


§ Monopolies/Monopsonies⠀➾


    * § Patents⠀➾


          o ⚓ Unified Patents ☛ $4,000_for_IP_Edge_entity,_Communication
            Advances,_image_patents_prior_art⠀⇛


                 Unified Patents added two new PATROLL contests, each with
                 a $2,000 cash prize, seeking prior art on the list below.
                 The patents are owned by Communication Advances LLC, an
                 NPE and entity of IP_Edge_LLC. The patents relate to
                 digital cameras, and in particular, to an image capturing
                 method employing eye-gazing detection to trigger various
                 applications.


          o § Software Patents⠀➾


                # ⚓ Silicon Angle ☛ Apple_banned_from_selling_Watch_Series_9
                  and_Watch_Ultra_2_in_the_US⠀⇛


                       Apple Inc. was today banned from selling its Watch
                       Series 9 and Watch Ultra 2 smartwatches in the U.S.
                       The iPhone maker told Reuters it’s appealing the
                       decision. Additionally, Fashion Company Apple has
                       asked a federal court to pause the ban while the
                       appeal process is ongoing.


    * § Trademarks⠀➾


          o ⚓ TTAB Blog ☛ Lack_of_Bona_Fide_Intent_Sinks_Application_to
            Register_JUICY_FRUIT_&_Design_for_T-shirts⠀⇛


                 The Board sustained this opposition to registration of
                 JUICY FRUIT & Design (shown below) for" t-shirt for
                 adults," finding that pro se Applicant David Neal
                 Seller's lacked a bona fide intent to use the mark for t-
                 shirts at the time he filed his application. His lack of
                 documentation provided Opposer Fruit of the Loom with a a
                 prima facie case. Sellers failed to overcome that
                 presumption. Fruit_of_the_Loom,_Inc._v._David_Neal
                 Sellers, Opposition No. 91268870 (December 21, 2023) [not
                 precedential] (Opinion by Judge Christen M. English).




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