𝕿𝖊𝖈𝖍𝖗𝖎𝖌𝖍𝖙𝖘 Bulletin for Sunday, January 01, 2023
┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅
Generated Mon 2 Jan 02:41:43 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/2023/01/01/


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

Qmcj5EHanYd6dSt2degUEWTEyqqoyygQduM5qxSoUY9tbQ
QmdRJwsbsXgydBbvrvinQ8ybSqJWBJpS39D3VBcY5DSd3G
Qmb4EjHKEYahRXurhmzoyhxRGEPvXqTA7AcQPuzLrKfJGh
QmeFrf4tqX8a5FgfN4cMTHFas3gdjg8g34A9iryCnBvtMG
QmVK3bkZbD5g3xuJVLcQEb4nbz82bgKPeuhqrZfSGDbnWj
QmcMmjkkKEkp8tPhvcRuQqQEthfDb2Nksw3RYrGfjUfw3Q
QmfQQhspUHkt3SuJBA5fzqjRPqzZGW5MrbYgrDoP7udz1f
QmVUTRpCU7PcTDC7kj2yHWWkV5Mhg6XD2yLq9ekqQv4xj5
QmVwJZvv6r7xzdhVLH4kTyoCkuFgsArexoVuFbayx9A5N5
QmNhjQG4XJrooeuqLbPUPR9RtcgJkwZXoswD1oPWfgY7kD
QmX23uBSayrQrZ3iRx2A9hTusXL5Qh1iQYgKiEFEXVheje
QmcYNvBka24tu2hBsNQvBVNcTjpuUCQEfzcyW15SJLsr1Y
QmYTdvgUUtSuvEKMNdZJRgJFYocLqB3fhxmt8qv13qfA9k
QmcJ2fTtAvxD5pUALCXvrhAptqfYZYBPhYtyH3LP59jAmm
QmaHh3rcF6g1UkYaeQMy8YKRuBj1LWfFt5DuaV6zofEsKC
QmbuG1onEhQaW6rPEagzCe7S1rrm3GzuhFgsmM6jL2TBZS
QmY4eU9zG8ckdDYJVc11Fmqezkxur7EKvrCfBGK5RtRH44
QmfTYjmBes8TFM2EptMBYjdyJNQoTQsLBJovB5pnSaqAWd
QmUNj8KTWXETvfoRAoK5wetjRTk1KM6eF8ihQQsZ1gAX33
QmNt5eextzQVZUBr2ZtPeFpGEySDSJ3d1mRBqP4t126YvE
QmdcR8a3vTfpFjhLVTL5gCq8WQ4ahnKhbZnPhvZVnGhcHs


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

⦿ Sirius ‘Open Source’ Abuses Grey Areas | Techrights

⦿ 2022 in Gemini: More Code, New Planet/s, Many Videos, and Nice Utilities | Techrights

⦿ IRC Proceedings: Saturday, December 31, 2022 | Techrights

⦿ Edvard Munch: Klaus Grabinski Met António Trump in 2022 | Techrights

⦿ Sirius Open Source Uses ’Privacy’ as a Weapon Against Truth-tellers (Can’t Speak Outside Work, Always Hush-Hush) | Techrights

⦿ [Meme] You Can Punch, But the Joke is on You... | Techrights

⦿ Richard Stallman Recently Went to India to Give Talks | Techrights

⦿ Zemlins Should be Held Accountable Like Sam Bankman-Fried: Bakkt Nearly Penny Stock Now | Techrights

 ䷼ Bulletin articles (as HTML) to comment on (requires login):
		http://techrights.org/2023/01/01/abusing-grey-areas/#comments
		http://techrights.org/2023/01/01/gemini-evolves/#comments
		http://techrights.org/2023/01/01/irc-log-311222/#comments
		http://techrights.org/2023/01/01/klaus-grabinski-with-trump/#comments
		http://techrights.org/2023/01/01/privacy-as-excuse/#comments
		http://techrights.org/2023/01/01/punching-the-innocent/#comments
		http://techrights.org/2023/01/01/richard-stallman-nit-calicut/#comments
		http://techrights.org/2023/01/01/the-zemlin-scam/#comments

 ䷞ Followed by Daily Links (assorted news picks curated and categorised):
		http://techrights.org/2023/01/01/4mlinux-42-0-beta/#comments
		http://techrights.org/2023/01/01/first-for-the-year/#comments
		http://techrights.org/2023/01/01/linux-6-2-rc2/#comments

                    ䷩ 𝚕𝚒𝚗𝚎 70

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

(ℹ) Images, hyperlinks and comments at http://techrights.org/2023/01/01/abusing-grey-areas/#comments
    Gemini version at gemini://gemini.techrights.org/2023/01/01/abusing-grey-areas/

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 01.01.23⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


Gemini_version_available_♊︎


✐ Sirius_‘Open_Source’_Abuses_Grey_Areas⠀✐


Posted in Deception, EFF, Free/Libre_Software at 12:00 am by Dr. Roy
Schestowitz


Earl Grey for the grey_little_fella', please


              🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇'I know someone is cooking...'⦈
 Maybe Sirius management wants its staff to also starve to death (the above is
               based on a real quote from a fake imposter boss)


Summary: Sirius_‘Open_Source’ will continue to occupy time and space in January
and February of this year; we’re starting to wrap up the series that’s based
around the report (sent to 3 managers before we left the company)


THE new year has begun! For some, in Sirius at least, the future is unclear. We
can imagine that there are ongoing or impending disputes among managers and
remaining stakeholders (e.g. “owner of Sirius”), seeing that the company is not
what it claims to be. We envision a bitter end to the company, very likely in
2023. The company is basically insolvent if one chooses to judge it by its
unaudited financial filings. The way it was treating its staff towards the end
of the year serves to suggest it’s also broke, looking for excuses not to pay
staff what the staff is fully entitled to.


“There are particular rights that are treated differently when the job is
performed just digitally, e.g. “remote” work, spying, access to machines,
management of company “assets” and so on.”We must stress that the company
wasn’t always like this! The company acted a lot more professionally a decade
ago, whereas the way things were handled towards the end got truly grim, with
conniving, back-stabbing, and profound betrayal of long-serving staff. The goal
wasn’t to end things on a positive note; the way things were done was likely in
breach of British law, as noted below. We’re going to shed some more light
later this month when handling some of the nitty-gritty stuff. Many of those
tricks are from_the_same_cloth or the same playbook of other failing companies.
It’s worth learning and understanding them.


During lockdowns some companies asked staff to sleep inside datacentres (oh,
hi, Microsoft!). Are those sleep deprivation experiments? Was this truly
consensual (when one can lose the job for declining to obey; Azure was already
laying_off_staff_that_year*)? Can money overcome law, as well as health &
safety regulations?


As a site named Techrights (since 2010, i.e. about 13 years already) we think
it’s perfectly appropriate and we deem it suitable to cover these issues; many
“Tech” jobs are impacted by matters of labour “rights” (a la EPO, where such
fundamental rights are routinely denied without consequences for
perpetrators!). There are particular rights that are treated differently when
the job is performed just digitally, e.g. “remote” work, spying, access to
machines, management of company “assets” and so on. What about lunch breaks?
What happens when you do non-stop monitoring (and reporting of incidents,
response/mitigation included)? What happens when you work from home? What if
you work overnight (1AM to 9AM shifts)? The meme above exemplifies the
absurdity of some existing policies, right? At times I worked 16-hour shifts,
albeit that was a long time ago and only with my explicit consent. The
mainstream media does not explore these pertinent issues in the context of
“knowledge workers” as often as it ought to. The EFF habitually dabbles in this
domain, as we’ll show later this month when we cover “bossware” [1, 2]. Sadly,
the EFF has been mostly_asleep_at_the_wheel_in_recent_years (after one co-
founder had died and another_was_ousted).


Below is a portion of the report:


===============================================================================
⚓  Further Discussion of the Issues⠀⇛


There are lots of issues that cannot be brought up without infringing the
confidentiality of Sirius clients. However important they are, it’s regretful
that they cannot be mentioned in this document.


What facts have shown thus far is astounding and hopefully a cautionary tale.
No company should hire people and keep them on the same salary in their 40s for
the same job they were hired to do in their 20s, not to mention inflation being
ignored as if it’s not happening. On top of that, bullying is not acceptable,
especially in light of working conditions, which may be in breach of British
law for some of the aforementioned reasons.


Management figures, lacking any technical skills trying to get staff to study
things like containers despite Sirius clients not using these is an unfortunate
ploy. They are just hoping to fake their staff possessing some skills and then
netting a contract based on it. As we saw earlier, this results in the company,
Sirius, hopelessly left to support systems it is unable to support, as the
skills being bragged about aren’t in fact to be found inside the company. So
hopefully that will change. If Sirius does not net contracts based on an old
(and long-lost) reputation for skills it does not have, then maybe staff can
actually meet clients’ expectations. █
_____
* Even today_there’s_talk_about_imminent_Microsoft_layoffs. It seems like these
rumours spread fast at Microsoft this past week, based on traffic patterns in
Techrights.


⡄⠀⠀⠀⠀⠀⠈⠀⠀⡀⠩⠤⣴⣾⣿⡿⠏⢀⣽⣿⠖⣤⣬⠟⡛⠛⡻⣿⣿⣿⣷⣶⣾⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣲⣺⣾⠏⡏⣹⡮⠭⠉⠻⠿⠗⢆⠂⡿
⠁⠀⠀⠀⠀⠀⢀⣀⣠⣴⣶⣶⣿⡿⠛⠀⠀⢠⣭⣝⠀⠹⢏⣄⣔⣘⣳⡈⠃⡀⣬⣿⣿⣿⣩⣩⣿⣉⡟⠋⠈⢙⣿⢿⣍⢹⣷⣿⣶⣿⣿⠛⣶⣿⣷⡶⣾⣿⣿⣿⣿⣯⣿⣿⣟⢟⢡⣿⡿⠉⠀⠀⠀⠠⢸⡌⣼⡄
⠀⠀⠀⠠⣴⣶⣿⣿⣿⣿⣿⠏⠈⣀⣶⡆⠀⠈⠉⠃⠀⠀⠘⣻⣿⣿⣿⣧⠀⣷⠸⡟⢻⠿⠇⠀⢸⣻⣧⡴⣍⡟⠀⠀⠀⠺⣿⣿⣿⣿⣿⣤⣩⣽⣯⡿⢛⢻⣿⣿⣿⢿⣿⣿⣷⡗⢺⡟⠀⠀⠀⠀⠁⠀⢲⢲⠃⠉
⠀⠀⠀⠀⢌⣛⡻⠛⠛⡽⠃⠀⠀⣿⣿⠃⠀⣑⣦⣀⣀⣀⣸⣿⡏⠘⠠⡡⣆⣿⠛⢰⠀⠀⠂⠀⠸⡿⠋⢈⠀⠀⠀⠀⡠⠄⠛⠛⠻⣿⠿⠛⠉⠉⠁⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣴⣿⣾⣷⣶
⠀⠀⠀⠀⢼⣿⣿⣾⣏⠀⠀⣀⠐⢉⠙⠛⠀⣾⣿⠩⣿⣿⣿⣾⣿⣿⠿⣿⠿⠋⠀⢈⢀⣙⣨⣽⡟⠁⣾⣿⡇⣀⡼⠋⠱⠂⠁⠁⠀⠀⠀⠀⠀⣴⣶⣶⣖⠴⠲⡛⠉⠉⠛⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿
⣾⠀⠀⠀⠰⢟⣿⡿⠃⠀⠙⠋⠴⣿⣿⣧⠀⠀⢰⣷⣯⢻⣿⣿⣿⣿⣷⣤⣴⣀⣖⣾⣟⠛⣻⡞⠀⠀⢿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣘⣿⣿⣿⣶⠺⠤⣤⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠿⠿⣿⣶⣦
⡦⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⣄⠈⠿⣿⣦⣴⣾⠟⠘⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⢻⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⠯⠉⠀⠀⠉⡀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈
⠁⠀⠀⠀⡐⠁⠀⠀⠀⡀⠀⠀⠘⠓⠁⠀⠉⠁⠒⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⣿⠋⠉⠁⠀⠀⠀⠀⠀⠈⠲⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡤⠀⠀⢠⠇⠀⢀⡔⣸⣿⠗⠂⠄⠀⢀⡇⢀⠀⣀⠸⢶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀⠀⠀⠀⠐⠁⠀⠀⠀⠀⠴⣤⠀⠀⠰⣾⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⠈⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢧⡆⢐⠁⣠⡴⠋⠀⢹⡆⠀⠀⠀⠴⣶⣃⡇⡀⡇⠀⠈⠉⢿⣿⣿⣿⣿⣿⣿⠿⠛⠂⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠄⠊⠀⡦⣟⢻⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠁⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢡⠀⣰⠿⠋⠀⠀⠀⢀⠀⡀⠀⠀⠀⠀⠉⠉⠙⠈⠀⠀⠀⠈⣿⣿⣿⡏⠁⣀⣀⣀⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣷⣦⠄⠚⠑⠑⣫⠟⣽⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣼⠛⠁⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⣸⣿⣿⣿⣿⣿⣿⣯⣿⣿⡿⠦⠀⠀⡠⠀⠀⠀⠁⠐⠀⠀⠀⠈⠀⠀⠀⠀⠈⠻⠆⠐⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢅⢒⠦⠄⠀⠀⠀⠀⠀
⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠩⣿⣿⣿⣿⣿⠟⠛⠉⠉⠀⠀⠀⠀⣀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣕⣢⠭⣒⠢⢍⡒⠢⢄
⠘⠀⠀⠀⢀⣀⣤⠤⠀⢀⣀⣠⣤⣤⣶⣶⣶⣶⣶⣤⣤⣄⣉⡙⠛⠿⢿⠀⠀⠀⠀⠀⠀⠀⣴⠟⠃⣤⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠈⠉⠒⠭⢖⡢⠍⠀
⢨⠀⣠⣾⡏⠋⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⢠⣶⠶⠿⠿⡇⠸⣁⣀⣀⣤⣤⣤⣤⣤⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀⠀⠀⠀⠀⠈⠑⠂
⠸⣿⣁⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⢀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡴⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀
⠀⠈⠁⢰⣿⣿⣿⡟⣿⢟⣯⠛⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠙⣿⣿⣿⣿⣿⡟⡙⠿⣿⣿⣿⣿⣿⣿⣷⣾⣧⣤⣶⣦⣤⣂⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣾⣿⣽⣜⣣⣘⡾⣽⣟⢽⣟⣻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠈⣿⣿⡟⠈⠀⠁⠀⠀⠑⢻⣻⣿⣿⣿⡏⠛⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢹⣿⣿⣿⣿⣿⣙⡮⣺⣯⣯⣟⣟⡿⡿⣿⣷⣾⣯⣳⣫⡌⣞⣿⣽⡟⢿⡿⠿⣿⣿⣇⠸⣿⣇⠀⠀⠈⠀⠀⠀⣉⣤⣿⣿⣋⣾⣰⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⢠⣴⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣯⣭⣿⣛⣌⡽⣏⢫⣟⢟⣻⣿⣷⣷⣿⣮⣗⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣾⣶⣻⣿⣷⣾⣿⣿⣿⣿⣿⡏⢰⣿⣿⣿⣿⣿⣯⣭⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢠⣿⣯⣭⣙⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⢿⢻⢻⡟⡇⡚⣿⣿⣿⡟⠁⣀⣴⣿⣿⣿⡆⢰⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⠾⠟⠛⠉⠁⠀⠀⠀⢀⣉⠙⠛⠿⠿⠿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠋⠉⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠖⣃⣣⣻⣮⣦⣷⣿⣾⡿⠟⢁⣤⣾⣿⣿⣿⣿⣿⢃⡾⢣⣷⣦⣀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠊⢠⣿⣿⣿⣿⣶⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠻⠿⠿⢿⣿⣿⣿⣿⠿⠿⠿⠟⠛⠉⢁⣠⣶⣿⣿⣿⣿⣿⣿⡿⣵⢟⣴⣿⣿⣿⣿⣿⣶⣄⡀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 213

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

(ℹ) Images, hyperlinks and comments at http://techrights.org/2023/01/01/gemini-evolves/#comments
    Gemini version at gemini://gemini.techrights.org/2023/01/01/gemini-evolves/

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 01.01.23⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


Gemini_version_available_♊︎


✐ 2022_in_Gemini:_More_Code,_New_Planet/s,_Many_Videos,_and_Nice_Utilities⠀✐


Posted in Protocol at 4:09 am by Dr. Roy Schestowitz


Video_download_link | md5sum 84320f13c1a6e36675bff8a598020251
2022 a Good Year for Gemini
Creative Commons Attribution-No Derivative Works 4.0


http://techrights.org/videos/gemini-2022-in-hindsight.webm


Summary: 2022 was an exceptionally healthy year for “Geminispace” (or “Gemini
space”, the namespace that responds over Gemini Protocol); all it generally
needs is more users and more capsules (it grew_a_lot_this_past_year)


THE “Geminispace” is still_growing, based on Lupa at least, and our_capsule
grows too, with addition_of_code and more interconnected services, which
include the_popular_“Planet”. There are Gemini_utilities for all sorts of
things, so over time I myself use more and more of Gemini to gather
information. The video above invites people to do the same in 2023.


Gemini is like the exact opposite of Social Control Media and advertising. █



                    ䷩ 𝚕𝚒𝚗𝚎 256

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

(ℹ) Images, hyperlinks and comments at http://techrights.org/2023/01/01/irc-log-311222/#comments
    Gemini version at gemini://gemini.techrights.org/2023/01/01/irc-log-311222/

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 01.01.23⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


Gemini_version_available_♊︎


✐ IRC_Proceedings:_Saturday,_December_31,_2022⠀✐


Posted in IRC_Logs at 2:39 am by Needs Sunlight


Also available via the Gemini protocol at:


    * gemini://gemini.techrights.org/irc-gmi/irc-log-techrights-311222.gmi
    * gemini://gemini.techrights.org/irc-gmi/irc-log-311222.gmi
    * gemini://gemini.techrights.org/irc-gmi/irc-log-social-311222.gmi
    * gemini://gemini.techrights.org/irc-gmi/irc-log-techbytes-311222.gmi
Over HTTP:


                                      🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇H                                     🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇HTML5_logs⦈_


                                         #techrights_log_as_HTML5                                                                                  #boycottnovell_log_as_HTML5


                                      🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇H                                     🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇HTML5_logs⦈_


                                    #boycottnovell-social_log_as_HTML5                                                                               #techbytes_log_as_HTML5


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


                                          #techrights_log_as_text                                                                                   #boycottnovell_log_as_text


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


                                     #boycottnovell-social_log_as_text                                                                                #techbytes_log_as_text


                          Enter_the_IRC_channels_now


===============================================================================
§ IPFS Mirrors⠀➾


CID                                              Description     Object type


                                                 IRC log for
 QmTU22eFEyrXe8RQRj9FMpC74qwyxELBhRn9Zmq8dKrxqa #boycottnovell  🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈
                                                 (full IRC log
                                                 as HTML)


                                                 IRC log for
                                                 #boycottnovell
 QmWinye5gT8wdfLSdTBm3bDkbzcc7Vc5TRXnPuWQi2u7JL (full IRC log   🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇text logs⦈
                                                 as plain/ASCII
                                                 text)


                                                 IRC log for
                                                 #boycottnovell-
 QmWqpSXLwG1C2isStW2ba5CYE5EPt2MsKKRdmCU72njaYj social          🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈
                                                 (full IRC log
                                                 as HTML)


                                                 IRC log for
                                                 #boycottnovell-
 QmYoNcA5oAP5YwtsEckFQyu7yg1vh6duw8DDXVZc87zFfy social          🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇text logs⦈
                                                 (full IRC log
                                                 as plain/ASCII
                                                 text)


                                                 IRC log for
 QmfN9c49Jn8hZe14Vp8da8GsGCABSxjaMfcC5Eu6nuPATH #techbytes      🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈
                                                 (full IRC log
                                                 as HTML)


                                                 IRC log for
                                                 #techbytes
 QmZQ8jQkKUXJykZBAo7xPa7aAM7d7itXTToePGDXsWsrkT (full IRC log   🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇text logs⦈
                                                 as plain/ASCII
                                                 text)


                                                 IRC log for
 QmWhUQ5TsarreGoTuwY7BB5AZmdRYXTMJGHYNuLUh7jaem #techrights     🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈
                                                 (full IRC log
                                                 as HTML)


                                                 IRC log for
                                                 #techrights
 QmU3XjXF9bj7k4BDmiKBHi8n7rvriX2mz17D9DEqT86ne2 (full IRC log   🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇text logs⦈
                                                 as plain/ASCII
                                                 text)


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇IPFS logo⦈


§ Bulletin for Yesterday⠀➾


Local_copy | CID (IPFS): QmdcR8a3vTfpFjhLVTL5gCq8WQ4ahnKhbZnPhvZVnGhcHs



                    ䷩ 𝚕𝚒𝚗𝚎 383

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

(ℹ) Images, hyperlinks and comments at http://techrights.org/2023/01/01/klaus-grabinski-with-trump/#comments
    Gemini version at gemini://gemini.techrights.org/2023/01/01/klaus-grabinski-with-trump/

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 01.01.23⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


Gemini_version_available_♊︎


✐ Edvard_Munch:_Klaus_Grabinski_Met_António_Trump_in_2022⠀✐


Posted in Europe, Patents at 12:23 am by Dr. Roy Schestowitz


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


Summary: As noted here before, the EPO is trying to start_an_illegal_court
system with patents granted after January 1st; this is what happens when EU
authorities fail to enforce the law against the likes of Benoît_Battistelli and
António_Campinos, instead letting them violate the law with complete impunity;
they could even incite to attack government buildings and be off the hook two
years later


⣿⣿⣿⣿⣿⣇⡗⣜⣸⣯⣷⣼⡼⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⡟⠄⠈⠻⣿⢄⠤⠀⠀⠔⣒⣢⣘⡯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣧⡇⢧⣏⣏⢿⢸⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠑⢄⣇⠘⢿⣷⣷⣆⠀⠙⠻⣿⣟⣼⣯⣿⣯⣲⣾⣿⣿⣿⣿⣟⠋⠽⣛⣿⣿⣿⠿⠛⣛⠟⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⢻⡌⣿⣿⣸⡜⡇⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡅⠀⠈⡻⢷⣤⡈⠻⣿⣷⣄⠀⠀⠙⣿⣿⣿⣿⣿⣟⢿⣿⣿⣿⣿⣷⣶⠄⠉⢡⠉⢉⣉⣤⢤⣤⣬⢴⠖⡿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡸⣿⣻⣯⢸⣧⢡⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡀⠠⡀⢀⠙⠳⡀⠙⢿⣿⣷⣤⣄⠚⣿⣿⣿⣿⣮⠀⠻⣿⣷⣿⣿⡄⣤⡀⠀⠱⣅⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣷⣿⢸⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣿⣆⡱⡄⠙⠄⠈⠛⠿⣿⣿⣷⣾⣿⣿⣿⡿⣷⣄⠈⠻⢿⣿⣽⣿⣟⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⠟⠻⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⠿
⣿⣿⣿⣿⣿⣿⣷⢸⢿⡞⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣜⣛⠁⢀⠀⠢⡀⠈⠙⢍⡙⢿⣷⣭⡂⣻⣿⢰⣦⣾⣿⣿⣿⣿⣿⣷⣴⡐⠛⠛⠿⠟⠉⠄⠀⠒⠒⠀⠠⠤⠬⠭⠭⠤⡀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡐⣿⡓⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣌⠀⣤⡀⠘⣦⡀⣾⣿⣦⣘⢿⡅⢻⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠂⣈⠂⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡆
⣿⣿⣿⣿⣿⣿⣿⣧⢻⣷⠙⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣜⣵⣄⠀⠙⠈⠻⣿⣿⣿⣿⣿⡆⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡇
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⡹⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣟⣾⣶⡤⢤⠂⣽⢿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠅⠀⠈⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣷⣿⣿⣿⣿⣧⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡂⢀⠀⢀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣍⣉⣉⣁⣒⣿⣿⣿⣿⣿⣿⣩⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣼⣷⣧⠈⠀⠀⠀⠀⢰⣾⣶⡶⠄⠀⠀⠀⠇⡧
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠛⠁⠛⠹⣿⣿⣿⣿⣿⣿⣿⣿⡏⢛⠸⣿⣿⠦⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡿⠟⣿⣻⣿⣯⣭⠉⠉⠭⠍⠡⠄⠀⠐⠐⠀⢀⡄⣀⣽⣿⣿⣿⣿⣿⣿⣿⣷⣎⣥⣿⣖⣲⢶⣖⣲⣷⣾⣿⣾⣖⣶⣶⣷⣶⣶⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠉⠀⠀⢻⣿⣿⣿⣿⣿⣿⡁⠈⠉⠉⠉⣭⣍⣀⣡⣤⣤⣤⣂⣒⣈⣬⣅⣉⣩⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣯⣯⣽⡿⣿⣿⣿⣿⣾⣦⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠏⠁⠀⢀⣀⡠⡄⠀⠀⠘⣿⣿⢿⡿⢛⣿⡇⠀⠀⠂⠒⠒⠛⠛⠋⢛⣛⣿⠿⠿⣿⣿⣿⠿⣿⣚⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡀⠀⠀⠀⠁⡡⠁⠉⡀⠀⠀⢹⣿⣯⣀⣾⣿⡇⠀⠀⠠⠄⠐⠒⢚⠉⠉⠠⡔⣒⣽⠿⣿⣿⣿⡿⡏⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⠯⢛⢏⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡇⠣⠐⠆⠀⠀⠄⡄⢹⡆⠀⠸⣿⣿⣏⣿⣿⠇⢠⡄⢀⠀⠀⠀⠀⠒⠉⠉⠩⣶⠈⠿⣽⣿⣿⣿⡏⣿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⢿⣿⣿⠊⠐⠀⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠉⠁⣿⣆⠀⠁⠀⠀⡀⠱⡄⢣⠁⡄⣿⣿⣿⣿⣿⠀⠀⠁⠀⠀⠀⠀⠀⠀⠄⠁⠘⠹⠆⠀⢟⣿⣿⣿⠀⣿⣿⣿⣿⡿⣡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣷⣿⣶⣶⣿⣿⠭⢮⣾⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⡸⠀⠈⡺⣎⠢⠀⠘⢳⡀⠹⠘⡆⠸⢿⣿⣿⣧⡿⠀⠨⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⣿⣿⢻⠀⣿⣿⣿⣿⣳⣶⢿⣿⣿⣿⣿⣿⣷⣄⣶⠲⠉⠉⠛⠒⡒⠖⠒⣆⢢⣤⣤⣥
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠈⢎⢢⠀⠀⠀⢣⡀⠀⢱⠄⠸⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡁⠀⠀⠄⠀⠀⢻⣦⠀⢻⣿⣿⡿⠝⣩⣿⣿⣿⣿⣿⡿⠂⢸⠟⠻⣥⡀⠀⠀⣷⣶⣶⣶⣶⣾⣿⣟
⣿⣿⣽⣧⣿⣿⣿⣿⣿⣿⣿⡇⡀⠐⡀⠈⡆⠀⠀⠀⠀⠃⠀⠀⢆⠀⣿⣿⣿⠀⠀⠀⠀⠌⠀⠀⠀⠀⠀⠀⠘⡅⡏⠀⠀⠀⡀⠲⢿⠀⢸⣿⣿⠏⣠⢿⣿⠿⠿⠋⠀⠀⠀⠀⠀⠀⡁⠁⠀⠀⠛⠛⠛⠋⠉⠉⠉⠀
⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣧⠁⠀⠑⢄⠈⠀⠀⠀⠀⡸⠀⠀⠈⠀⣷⣿⣿⡆⠘⢀⠀⠇⠀⠀⠀⠀⠀⠀⠈⠣⡧⠀⠀⠀⠳⣷⡈⢆⠘⠏⠁⠔⠃⠱⠛⠈⠀⠄⠀⠀⠀⠀⠠⠀⠱⡄⠀⢀⣶⣶⣶⣦⣤⣤⣶⣶
⠁⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡀⠀⠀⠀⠃⣿⣿⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢄⡇⡧⠀⢄⠀⠈⠿⣶⣆⠀⠀⠀⣀⡠⠥⠆⠒⢉⡀⢀⠤⠀⠀⠀⠀⠀⠀⠴⣿⣿⣿⣿⣿⣿⣿⣿
⣶⠶⣿⣿⣿⣿⣿⣿⡿⠛⠻⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠂⠀⠀⠀⢠⡼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠦⢄⠁⠹⡧⠀⠀⠳⡀⠀⠈⠻⣖⠶⣀⠀⠀⠂⣠⠤⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⣾⣶⡀⠀⠀⠀⠀⠠⢀⠀⠀⢀⠀⠀⠐⠃⠘⠟⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠙⠀⠀⠃⠸⣆⢳⡄⠀⠀⠈⠑⢄⠑⠢⣪⠁⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿
⠒⠘⠒⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠢⠄⠀⠀⠙⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠣⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠚⢮⡙⠄⠠⣄⠀⠀⠙⠦⣭⣄⣀⣀⣐⠀⠄⠀⠀⠀⠀⠀⢠⠀⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠛⠓⠀⠀⠀⠀⠉⢲⡀⠀⠀⠀⠁⢀⡀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠢⡀⠀⠀⠀⠀⠀⠈⠋⣒⠀⠨⣂⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⣻⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠒⠒⠂⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠀⠀⠀⣀⢸⣿⣦⣦⣴⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢀⡄⠀⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⢻⠀⠀⠀⠀⠀⡀⠤⠄⣀⡀⢀⠀⠀⠀⠀⠀⠊⠀⠄⠀⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 443

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

(ℹ) Images, hyperlinks and comments at http://techrights.org/2023/01/01/privacy-as-excuse/#comments
    Gemini version at gemini://gemini.techrights.org/2023/01/01/privacy-as-excuse/

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 01.01.23⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


Gemini_version_available_♊︎


✐ Sirius_Open_Source_Uses_‘Privacy’_as_a_Weapon_Against_Truth-tellers_(Can’t
Speak_Outside_Work,_Always_Hush-Hush)⠀✐


Posted in Law at 4:41 am by Dr. Roy Schestowitz


Video_download_link | md5sum f537fd943d49eeaf0de1f801a60f08bf
Erosion of Worker Rights in IT
Creative Commons Attribution-No Derivative Works 4.0


http://techrights.org/videos/rights-in-it.webm


Summary: Workers’ rights are under attack; in the case of IT, more so with
people who work from home, rights are under unprecedented attacks which laws
have not caught up with


IN the latest_meme and latest_article we talked about abuse against workers or
twisting of the law to basically employ people overnight for salaries far below
industry standards (and basically the same as daytime salaries). There’s also
the issue of ‘double shifts’ and overtime, but how about privacy?


For instance, is an employer permitted to intrude communications of staff
outside work? Where is work? Home? What about spyware? Is that allowed? There
are also moral aspects, especially when a company names itself “Open Source”
and fails to deliver this promise.


It seems likely that the Techrights of 2023 may shift somewhat to issues of
rights in the workspace, based on my personal experiences that I can finally
speak openly about (even name the employer, just not clients or colleagues as
it would be unfair to them).


Tomorrow we’ll cover more of the free speech aspects and “privacy” aspects.


Anyway, happy new year from Techrights! █


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Techrights_2023⦈_


⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀
⠀⠸⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠃⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 543

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

(ℹ) Images, hyperlinks and comments at http://techrights.org/2023/01/01/punching-the-innocent/#comments
    Gemini version at gemini://gemini.techrights.org/2023/01/01/punching-the-innocent/

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 01.01.23⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


Gemini_version_available_♊︎


✐ [Meme]_You_Can_Punch,_But_the_Joke_is_on_You…⠀✐


Posted in Deception, Free/Libre_Software at 12:00 am by Dr. Roy Schestowitz


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


Summary: Sirius_‘Open_Source’ with its botched hatchet_job continues to merely
exploit people, who aren’t even working at the company (some haven’t worked in
the company for about 3 year already, but the_official_site_still_shows_them
off_in_the_page_"Meet_the_Team")


Back in November a pathological liar was falsely accusing and even bullying my
wife Rianne. A month later (after leaving) the company is still using her for
self-promotion/marketing purposes:


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Rianne_has_a_Bachelor's_Degree_in_Computer_Science_and_has
been_with_Sirius_since_2013_working_as_a_support_engineer._She_works_during
weekends_and_sometimes_covering_weekday_shifts_for_the_colleagues._During
weekdays_and_after_the_shifts_of_the_weekend_she_co-edits_Tux_Machines,_the
website_that_covers_Linux,_Android_and_Open_Source-related_news._Rianne_is
environment-conscious,_an_animal_lover_and_her_most_loved_animal_is_the_panda
bear_(you_can_read_some_of_her_blog_posts_in_Tux_Machines)._As_much_as_she
loves_learning_about_different_cultures,_she_likes_to_learn_different_languages
too._As_of_this_date_she_speaks_five!⦈_


Update your site, Sirius. Or maybe you plan to take it all offline soon
(regardless of updates). Quit faking_what_you_are.


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

                    ䷩ 𝚕𝚒𝚗𝚎 1825

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

(ℹ) Images, hyperlinks and comments at http://techrights.org/2023/01/01/richard-stallman-nit-calicut/#comments
    Gemini version at gemini://gemini.techrights.org/2023/01/01/richard-stallman-nit-calicut/

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 01.01.23⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


Gemini_version_available_♊︎


✐ Richard_Stallman_Recently_Went_to_India_to_Give_Talks⠀✐


Posted in GNU/Linux, Videos at 9:22 pm by Dr. Roy Schestowitz


Clearly not 'canceled':


Summary: We recently wrote about Dr. Stallman giving talks in India [1, 2];
here’s an_example_from_yesterday (day of upload)



                    ䷩ 𝚕𝚒𝚗𝚎 1852

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

(ℹ) Images, hyperlinks and comments at http://techrights.org/2023/01/01/the-zemlin-scam/#comments
    Gemini version at gemini://gemini.techrights.org/2023/01/01/the-zemlin-scam/

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 01.01.23⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


Gemini_version_available_♊︎


✐ Zemlins_Should_be_Held_Accountable_Like_Sam_Bankman-Fried:_Bakkt_Nearly_Penny
Stock_Now⠀✐


Posted in Fraud, Kernel at 8:46 pm by Dr. Roy Schestowitz


Background:


   1. Linux_Foundation_Revenue_Plunges_($18,000,000_Decrease_in_One_Year)_and
      Jim_Zemlin’s_Wife_Has_Her_Company_Sued_for_Securities_Fraud_(Class
      Action)
   2. After_Defrauding_People_in_New_York_Stock_Exchange_(Now_Class_Action_for
      Securities_Fraud)_Jim_Zemlin’s_Wife_Quits_Bakkt_to_Dodge_Liability
   3. Jim_‘FTX’_Zemlin:_“My_Wife_Who_is_a_Successful_Technology_Executive_and
      Harvard_MBA_[and_Fraudster_Facing_Class_Action_Lawsuit_for_Securities
      Fraud]_Really_Had_an_Obvious_Look_of_Disappointment…_When_I_Told_Her_I
      Worked_at_a_Non-Profit”_[sic]
Latest:


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Zemlin_scam⦈_


Summary: It’s a good thing that the government is cracking down on ‘crypto’
scams, but why aren’t there any arrests of Wall Street-connected ‘crypto’
scammers?


⣿⣿⣿⣿⢿⣿⡿⣿⣿⣿⣿⡿⣿⢿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣺⣽⣇⣝⣯⣻⣿⣇⣿⣨⣿⣇⣸⣺⣇⣇⣿⣿⣮⣻⣇⣿⣿⣸⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣬⣍⣛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣬⣍⣛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣭⣝⣛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣭⣙⡛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣭⣙⡛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣭⣙⡻⠛⠿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣬⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 1925

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 01.01.23⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


Gemini_version_available_♊︎


✐ Links_01/01/2023:_4MLinux_42.0_Beta_and_End_of_Year_Posts⠀✐


Posted in News_Roundup at 10:34 am by Dr. Roy Schestowitz


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * GNU/Linux
          o Audiocasts/Shows
          o Instructionals/Technical
          o Games
          o Desktop_Environments/WMs
                # GNOME_Desktop/GTK
    * Distributions_and_Operating_Systems
          o New_Releases
          o Fedora_Family_/_IBM
          o Debian_Family
          o Canonical/Ubuntu_Family
          o Mobile_Systems/Mobile_Applications
    * Free,_Libre,_and_Open_Source_Software
          o Programming/Development
                # R
                # Python
                # Shell/Bash/Zsh/Ksh
                # Rust
    * Leftovers
          o Hardware
          o Health/Nutrition/Agriculture
          o Proprietary
          o Security
                # Privacy/Surveillance
          o Transparency/Investigative_Reporting
          o Environment
                # Mind_Pollution
          o Finance
          o AstroTurf/Lobbying/Politics
          o Digital_Restrictions_(DRM)
          o Monopolies
                # Copyrights
    * Gemini*_and_Gopher
          o Personal
          o Technical
    * § GNU/Linux⠀➾


          o ⚓ Lars Wirzenius ☛ Rant:_year_of_Linux_on_the_desktop⠀⇛


                 Next year, 2023, will be my thirtieth year of Linux on
                 the desktop, and the thirtieth year of being told it’s
                 not possible to use Linux on the desktop, or to only use
                 Linux on the desktop. Some of the people telling me this
                 weren’t born when I started using Linux on the desktop.


          o ⚓ Ace_your_Linux_Admin_Job_Interview:_Tips_and_tricks⠀⇛


          o § Audiocasts/Shows⠀➾


                # ⚓ Video ☛ Mabox_Colorizer_in_action_(Dec_2022)_–_Invidious⠀⇛


                       Colorizer has evolved a lot – see what it can do
                       now. Version 1.0 pre-release.


                # ⚓ Video ☛ Hachyderm’s_Kris_Nova_on_running_a_Mastodon_Server
                  –_Hanselminutes_Podcast_872_–_Invidious [Ed: This is a
                  Microsofter; he is not the only Microsofter shilling
                  Mastodon. Ed Bott does the same. Maybe they_want_Microsoft’s
                  “influencers”_to_expand_there.]⠀⇛


                       Scott talks with Kris Nova who has been building
                       and scaling Hachyderm, a Mastodon instance that
                       began in her basement and is now moving into the
                       cloud. Nova shares her extensive knowledge on the
                       technical challenges and solutions involved in
                       creating and maintaining Hachyderm, as well as her
                       insights on the importance of building and
                       maintaining a welcoming and inclusive online
                       community. If you enjoy this kind of interview,
                       you’re in luck!


          o § Instructionals/Technical⠀➾


                # ⚓ ID Root ☛ How_To_Install_PowerShell_on_Rocky_Linux_9_–
                  idroot [Ed: Better port to something like Bash, to avoid
                  Microsoft controlling you by proxy]⠀⇛


                       This article assumes you have at least basic
                       knowledge of Linux, know how to use the shell, and
                       most importantly, you host your site on your own
                       VPS. The installation is quite simple and assumes
                       you are running in the root account, if not you may
                       need to add ‘sudo‘ to the commands to get root
                       privileges. I will show you the step-by-step
                       installation of Microsoft PowerShell on Rocky
                       Linux. 9.


                # ⚓ Linux Hint ☛ How_to_Uninstall_a_Yum_Package⠀⇛


                       As a sysadmin, one obvious task is handling the
                       packages, from installing to uninstalling them.
                       When you want to install, update, remove, list, and
                       track the different installed packages on the
                       system, you must use a package manager for that
                       particular distro.


                       Yum is the package manager tool for handling the
                       packages in Red Hat Enterprise in Linux. There are
                       different ways of uninstalling a package using the
                       Yum package management tool. Take a look!


                # ⚓ Linux Hint ☛ 2_Different_Ways_to_Install_Discord_on_Ubuntu
                  22.04⠀⇛


                       Discord is a widely used application for instant
                       messaging, video, and voice calling, allowing users
                       to communicate with people worldwide. During the
                       early days, this software was designed for gamers.
                       But nowadays, people use this application to create
                       discussion groups and forums and share their
                       thoughts on different aspects.


                # ⚓ Talospace ☛ When_Petitboot_barfs,_everything’s_vomit⠀⇛


                       Colourful, no? But it’s true. I’ve not been able to
                       write up my Fedora 37 experience, nor upgrade
                       Firefox (nor do further work on the JIT) because
                       the Petitboot boot menu couldn’t stop touching the
                       main NVMe drive and making its older (Linux 5.5)
                       XFS kernel module hang. If Petitboot can’t start,
                       your expensive POWER9 system is a brick.


                       In its most literal sense this article is largely a
                       precautionary tale, because unless you’re a long-
                       term Fedora user like me with a continuously
                       updated older installation, it’s very unlikely you
                       have an XFS volume in your OpenPOWER box. But if
                       the antique kernel in Petitboot ever starts barfing
                       on your own filesystems or a device you install,
                       you’ll be in this state too, so here’s how I got
                       the Talos II working again.


                # ⚓ Bryan Lunduke ☛ Animated_ASCII_fireworks_in_your_Terminal
                  for_New_Years⠀⇛


                       Last week, I unleashed “Lunduke’s Holiday BASH
                       Animations” with two ASCII animations for your
                       terminal: a Christmas tree and a Hanukkah Menorah.


                       Well. New Years Eve is coming up.


                       So I’ve added a new animation to the BASH script to
                       help ring in the new year: Fireworks.


                # ⚓ TecAdmin ☛ How_to_Install_Python_Tkinter_on_Linux⠀⇛


                       Tkinter is a Python library that is used to create
                       graphical user interfaces (GUIs). It is a standard
                       Python interface to the Tk GUI toolkit, which is
                       widely used in the Linux operating system. In this
                       tutorial, we will learn how to install Tkinter on a
                       Linux system using either pip or apt-get.


                # ⚓ FOSSLinux ☛ How_to_install_Steam_on_Linux_Mint⠀⇛


                       Steam is considered the largest Linux-based gaming
                       platform. Installing it on your PC allows you to
                       play games on Linux just as quickly as on the
                       Windows operating system. This tutorial will
                       demonstrate how to install Steam on a Linux Mint
                       PC.


                # ⚓ FOSSLinux ☛ How_to_check_your_Linux_Mint_version_by_GUI_and
                  command-line_ways⠀⇛


                       Linux Mint is a community-driven Ubuntu-based Linux
                       distribution bundled with a variety of free and
                       open-source software. It can provide full
                       multimedia support out-of-the-box for those who opt
                       to include proprietary software such as multimedia
                       codecs. Every Linux distro has several versions on
                       the market.


                # ⚓ FOSSLinux ☛ How_to_mount_SMB_shares_on_Linux_Mint⠀⇛


                       Samba is a free, open-source tool suite that
                       permits us to share files and printers between
                       Linux and Windows workstations. Because most Linux
                       file explorers include samba compatibility, a Samba
                       share is quite simple to set up and use. However,
                       in other cases, we can mount a Samba share at
                       startup, just like a regular filesystem on a given
                       mount point.


                # ⚓ FOSSLinux ☛ How_to_install_an_updatable_Fedora_on_a_USB
                  flash_drive_|_FOSS_Linux⠀⇛


                       Have you ever considered utilizing a computer that
                       is not yours, complete with your own files and
                       settings? Any Linux distribution is capable of
                       doing so. Yes! You may utilize your own customized
                       Linux operating system on any machine with a USB
                       drive. Fedora is among the most advanced and stable
                       Linux distributions.


                # ⚓ FOSSLinux ☛ 10_handy_Ubuntu_Keyboard_shortcuts_you_should
                  know_|_FOSS_Linux⠀⇛


                       Linux veterans recognize that the keyboard is more
                       potent than the mouse since many activities that
                       require numerous mouse clicks can be performed with
                       a single keyboard shortcut. Learning a few keyboard
                       shortcuts may increase your productivity as a Linux
                       user and win you considerable bragging rights in
                       the Linux community.


                # ⚓ TecAdmin ☛ Difference_Between_`su`_and_`su_-`_Commands_in
                  Linux⠀⇛


                       In Linux, the `su` command allows a user to switch
                       to a different user account. The `su` command can
                       be followed by the name of the user to switch to,
                       and will prompt the user for the password of the
                       user they are trying to switch to.


                       The `su` command has a number of options that can
                       be used to modify its behavior. One of these
                       options is `-`, which stands for “login shell”.
                       When the `-` option is used with the `su` command,
                       it causes the su command to run a login shell for
                       the specified user. This means that the user’s
                       environment variables and profile scripts will be
                       sourced as if they had logged in to the system
                       normally.


          o § Games⠀➾


                # ⚓ GamingOnLinux ☛ What_I_want_to_see_in_2023_for_Linux,
                  Gaming,_Steam_Deck_and_more_|_GamingOnLinux⠀⇛


                       The end of a year is a good time to sit, think and
                       reflect on what a year it has been and what we hope
                       2023 will bring so here’s some of what I want and
                       what I think could happen.


                       I actually wrote a wishlist for the Steam Deck back
                       in October, and funnily enough pretty much every
                       single point there is still valid right now. Some
                       points have had minor work but most of it hasn’t
                       been touched. I hope Valve are reading, because all
                       of those points are what I regularly see people
                       moan and gripe about too.


                       What else though for the wider picture?


                # ⚓ Best_Maps_of_2022_Poll_–_DDraceNetwork_News⠀⇛


                       Our entire DDNet team would like to wish you all a
                       warm and safe journey throughout 2023. DDNet grew
                       again massively this year and we welcomed many
                       newcomers to the community. We hope that you will
                       all continue enjoying your time on DDNet while we
                       continue to serve the community and find new ways
                       to enrich your experience in 2023.


          o § Desktop Environments/WMs⠀➾


                # § GNOME Desktop/GTK⠀➾


                      # ⚓ Bryan Lunduke ☛ The_incredibly_boring,_totally
                        reasonable_finances_of_the_GNOME_Foundation⠀⇛


                             I recently reported on the incredibly bizarre
                             finances of Mozilla (the makers of Firefox).
                             Payments to nonexistent companies, major
                             payments to political extremists (that have
                             no relation to their core business), a total
                             reliance on a single customer… and that’s
                             just for starters. The finances of Mozilla
                             are absolutely wild.


                             Which brings up a question:


                             How does that compare to the financial
                             operations of other “non-profit”
                             organizations in the Tech and Open Source
                             world?


                             Are the finances of other organizations
                             similarly corrupt and strange? Or is Mozilla…
                             unique?


                             In order to (begin to) answer that question,
                             I dove into the available financial data of
                             the GNOME Foundation — the Non-Profit
                             Foundation behind the GNOME Desktop
                             Environment (among many other software
                             projects).


    * § Distributions and Operating Systems⠀➾


          o § New Releases⠀➾


                # ⚓ 4MLinux Blog ☛ 4MLinux_Releases:_4MLinux_42.0_BETA
                  released.⠀⇛


                       4MLinux 42.0 BETA is ready for testing. Basically,
                       at this stage of development, 4MLinux BETA has the
                       same features as 4MLinux STABLE, but it provides a
                       huge number of updated packages.


                       Road map:
                       December 2022 -> BETA
                       March 2023 -> STABLE
                       July 2023 -> OLD STABLE
                       November 2023 -> EOL


          o § Fedora Family / IBM⠀➾


                # ⚓ Talospace ☛ Fedora_37_mini-review_on_the_Blackbird_and
                  Talos_II⠀⇛


                       It’s been kind of a wild ride getting the Talos II
                       and the Blackbird upgraded to Fedora 37, but we’re
                       there, so it’s finally time for a mini-review to
                       summarize the current state. As I always like to
                       remind folks, Fedora was one of the first
                       mainstream distributions to support POWER9 out of
                       the box, it’s still one of the top distributions
                       OpenPOWER denizens use and its position closest to
                       the bleeding, ragged edge is where we see problems
                       emerge first and get fixed (hopefully) before they
                       move further downstream. That’s why it’s worth
                       caring about it even if you yourself don’t run it.


                       Another important reminder is both my ‘Bird and T2
                       are configured to come up in a text boot instead of
                       gdm and I start GNOME (Blackbird) or KDE (T2)
                       manually from there. I still test GNOME on both
                       systems, but I’ve pretty much entirely migrated
                       over to KDE Plasma on the T2, so I’ll talk about
                       both the GNOME and KDE experience in this and
                       future mini-reviews. I strongly recommend a non-
                       graphical boot as a recovery mechanism in case your
                       graphics card gets whacked by something or other.
                       On Fedora this is easily done by ensuring the
                       symlink /etc/systemd/system/default.target points
                       to /lib/systemd/system/multi-user.target.


                # ⚓ Congratulations_Anwesha⠀⇛


                       The year 2022 gave me one of the happiest moments
                       in my life, and I also felt proud as Anwesha joined
                       the Ansible community team as a software engineer
                       in Red Hat. Proud because she became the best
                       example of someone to whom I taught things about
                       computers (she has multiple mentors/friends who
                       helped her during this journey). Though sometimes
                       that created trouble at home, the output is super
                       lovely. From a Masters in Law to a software
                       engineer in Red Hat is a good story.


                # ⚓ Jan Piet Mens ☛ Some_things_I_blogged_about_in_2022⠀⇛


                       My original plan for 2022 was to work a bit less,
                       but I failed for the simple reason that I forgot to
                       mark “free” time in the calendar. Stupid. Be that
                       as it may, it was mostly quite a good year for me,
                       with a definite non-work-highlight being a three-
                       week holiday with my offspring in the Spring.


                       [...]


                       I did quite a bit of DNS work and trainings, and
                       gave a few Ansible trainings, and in between I
                       wrote the odd blogticle:


                       This year marked my tenth Ansible anniversary, and
                       we created an Ansible reference sheet. I learned
                       about using a lookup plugin for Ansible
                       module_defaults, and jotted down some notes on
                       Ansible local facts on Windows nodes. As you might
                       know, I’m a fan of local facts, and we began
                       collecting ideas for using local facts.


                # ⚓ OpenSource.com ☛ What_to_write_about_on_Opensource.com_in
                  2023_|_Opensource.com⠀⇛


                       As we start 2023, it’s the perfect time to reflect
                       on what the last few years have brought to us. The
                       pandemic has brought us closer together globally.
                       Conferences and meetings moved to virtual platforms
                       lowering the geographic barrier to participating
                       and collaborating. Many of us moved to remote work
                       and embraced asynchronous communication with our
                       teams. We have met people across the globe whom we
                       would have never had the privilege to meet.


                # ⚓ OpenSource.com ☛ 6_articles_to_get_you_excited_about
                  programming_|_Opensource.com⠀⇛


                       Programming is at the heart of open source
                       software. Learning programming is a great way to
                       explore new ideas and create programs that are
                       useful for you. This year, Opensource.com authors
                       shared many excellent articles about programming,
                       from how new programmers can get started, to how
                       experts can learn more about the details. Here are
                       six articles to get you excited about programming:


          o § Debian Family⠀➾


                # ⚓ C.J._Adams-Collier:_State_of_the_racks,_20221231⠀⇛


                       I haven’t written in a while. I’ve been caught up
                       in work. But between working, I’ve put together
                       some new equipment in a couple of new racks. I
                       bought an audio dampened 15U rack a couple of years
                       ago or so, and into it I’ve placed the RAID array
                       and an HP desktop form-factor ML110 server to drive
                       the disks. The disk array controller is a two-port
                       Broadcom / LSI SAS3008 PCI-Express Fusion-MPT SAS-
                       3. I’ve been thinking about getting the four-port
                       variant, since I like this one and I’ve got another
                       7 drive bays in the chassis that don’t have disks
                       in them.


                # ⚓ Junichi_Uekawa:_Challenges_in_getting_a_Debian_package.⠀⇛


                       Challenges in getting a Debian package. Debian Rust
                       packaging team has a great collection of scripts
                       for maintaining Debian Rust packages, but that
                       depended on schroot and other tools that I haven’t
                       used usually. Getting that working first was a
                       challenging. I had to get out of my podman
                       container running sid inside user namespace,
                       because schroot didn’t work due to not being able
                       to create devices files. That was okay, and I went
                       back to my old chroot script which was doing
                       something similar to schroot. Had to fix up /etc/
                       passwd and /etc/group to match inside and outside.
                       I broke gpg on the way, I had to fix the chroot
                       script not to break PTTY by keeping /dev/pts. This
                       I could probably have ignored if I had used schroot
                       myself as well. Anyway, some maintenance of old
                       scripts to get back up to speed…


          o § Canonical/Ubuntu Family⠀➾


                # ⚓ Slashdot ☛ Ubuntu_Blogger_Chooses_the_5_Best_Linux_Distros
                  of_2022_–_Slashdot⠀⇛


                       Long-time Slashdot reader destinyland shares an
                       article listing “the five best Linux distros of
                       2022″ — as chosen by the editor of the blog omg!
                       ubuntu!


                       “Spoiler: they’re not all Ubuntu-based!” the
                       article begins, also noting that it’s not a ranking
                       of superiority of importance, but rather “giving a
                       shoutout to some of the year’s best Linux
                       releases.”


          o § Mobile Systems/Mobile Applications⠀➾


                # ⚓ SlashGear ☛ What_To_Do_If_Your_Android_Phone_Has_Been
                  Hacked⠀⇛


                # ⚓ Android Authority ☛ 5_Android_apps_you_shouldn’t_miss_this
                  week_–_Android_Apps_Weekly⠀⇛


                # ⚓ Delete_this_popular_task_manager_app_right_away_if_you’re
                  an_Android_User_|_Fox_News⠀⇛


                # ⚓ Android Police ☛ This_half-off_deal_for_the_OnePlus_9_is
                  perfect_for_Android_enthusiasts⠀⇛


                # ⚓ Android Police ☛ LineageOS_20,_based_on_Android_13_QPR1,
                  arrives_stupid_quick⠀⇛


                # ⚓ Android Police ☛ Best_match-3_games_on_Android_in_2023⠀⇛


                # ⚓ The Sun ☛ Millions_of_Android_owners_could_slash_‘vampire
                  bills’_–_how_to_save_money_|_The_US_Sun⠀⇛


    * § Free, Libre, and Open Source Software⠀➾


          o ⚓ The Register UK ☛ Should_open_source_ban_itself_in_China_and
            Russia?_•_The_Register⠀⇛


                 In 2022, information technology collided with geopolitics
                 like never before. After Russia’s illegal invasion of
                 Ukraine, many nations decided that Vladimir Putin’s
                 regime and populace should be denied access to technology
                 and even to services from the companies that make and
                 wield it.


                 The USA, meanwhile, extended its restrictions on
                 technology exports to China, citing its belligerence and
                 repression of human rights.


                 The bans appear to have been somewhat effective: China
                 and Russia both started efforts to replicate technology
                 they could no longer easily, or legally, obtain.


          o § Programming/Development⠀➾


                # ⚓ James G ☛ Seasonal_emojis_for_your_personal_website_|
                  James’_Coffee_Blog⠀⇛


                       Before Christmas, I decided to work on a small
                       project that would automatically change the emoji
                       on my website. I am calling this project
                       seasonal.js. Using seasonal.js, you can change all
                       of the emojis on a web page that use a pre-defined
                       CSS class. seasonal.js contains a default JSON
                       object of various events that are relevant to me,
                       from my birthday (assigned a party emoji) to Boxing
                       Day (assigned a box emoji). You can change this
                       object to include events that you want to celebrate
                       on your website.


                # ⚓ Amos Wenger ☛ Day_9_(Advent_of_Code_2022)⠀⇛


                       The Advent of Code is not a sprint: it’s a
                       marathon: sometimes you’ve got to stop and smell
                       the roses.


                # ⚓ Amos Wenger ☛ Day_11_(Advent_of_Code_2022)⠀⇛


                       In that one, we have to apparently cosplay as an
                       IBM mainframe and just.. crunch them numbers. This
                       doesn’t look fun, and I can’t think of a clever
                       twist to make it fun, so let’s try to make it short
                       and sweet.


                # ⚓ Xe’s Blog ☛ The_Next-Generation_Universal_Hlang_compiler⠀⇛


                       In a world where simple tasks have hundreds of
                       dependencies and most of them are not documented,
                       everything falls to chaos. The monolithigarchy
                       dictates that your build times must be slow so that
                       They (the dependocracy) can win over your hearts
                       and minds with video games that you play during
                       your compile times. One person gets mad about their
                       string padding library being used by corporations
                       without paying and then the entire internet
                       explodes for a few days. This is unsustainable.


                # ⚓ University of Toronto ☛ Some_notes_to_myself_on_‘git_log_-
                  G’_(and_sort_of_on_-S)⠀⇛


                       Today I found myself nerd-sniped by a bit in Golang
                       is evil on shitty networks (via), and wanted to
                       know where a particular behavior was added in Go’s
                       network code. The article conveniently identified
                       the code involved, so once I found the source file
                       all I theoretically needed to do was trace it back
                       in history. Until recently, my normal tool for this
                       is Git’s ‘blame’ view and mode, often on Github
                       because Github has a convenient ‘view git-blame
                       just before this commit’, which makes it easy to
                       step back in history. Unfortunately in this case,
                       the source code had been reorganized and moved
                       around repeatedly, so this wasn’t easy.


                # § R⠀➾


                      # ⚓ Modeling_the_secular_trend_in_a_stepped-wedge_design
                        –_ouR_data_generation⠀⇛


                             Recently I started a discussion about
                             modeling secular trends using flexible models
                             in the context of cluster randomized trials.
                             I’ve been motivated by a trial I am involved
                             with that is using a stepped-wedge study
                             design. The initial post focused on more
                             standard parallel designs; here, I want to
                             extend the discussion explicitly to the
                             stepped-wedge design.


                      # ⚓ Progress_on_R-spatial_evolution,_Dec_2022⠀⇛


                             This is the second report on the R-spatial
                             evolution project. The project involves the
                             retirement (archiving) of rgdal, rgeos and
                             maptools during 2023. The first report set
                             out the main goals of the project. Here we
                             report on progress so far, steps already
                             taken, and those remaining to be
                             accomplished. We feel that anyone planning
                             training or teaching for the Northen
                             hemisphere Fall semester/term should plan to
                             have ceased using the retiring packages
                             before work begins after the summer; sp will
                             use sf for functions previously using
                             retiring packages in June 2023.


                      # ⚓ Interpret_Complex_Linear_Models_with_SHAP_within
                        Seconds_–_Michael’s_and_Christian’s_Blog⠀⇛


                             A linear model with complex interaction
                             effects can be almost as opaque as a typical
                             black-box like XGBoost.


                             XGBoost models are often interpreted with
                             SHAP (Shapley Additive eXplanations): Each of
                             e.g. 1000 randomly selected predictions is
                             fairly decomposed into contributions of the
                             features using the extremely fast TreeSHAP
                             algorithm, providing a rich interpretation of
                             the model as a whole. TreeSHAP was introduced
                             in the Nature publication by Lundberg and Lee
                             (2020).


                      # ⚓ Plotting_two-way_interactions_from_mixed-effects
                        models_using_ten_or_six_bins⠀⇛


                             Whereas the direction of main effects can be
                             interpreted from the sign of the estimate,
                             the interpretation of interaction effects
                             often requires plots. This task is
                             facilitated by the R package sjPlot (Lüdecke,
                             2022). In Bernabeu (2022), the sjPlot
                             function called plot_model served as the
                             basis for the creation of some custom
                             functions. Two of these functions are
                             deciles_interaction_plot and
                             sextiles_interaction_plot. These functions
                             allow the plotting of interactions between
                             two continuous variables. In the case of
                             deciles_interaction_plot, one of the
                             variables is divided into ten bins, known as
                             deciles, and the other variable is unchanged.
                             In the case of sextiles_interaction_plot, one
                             of the variables is divided into six bins, or
                             sextiles, and the other variable is
                             unchanged.


                      # ⚓ New_Statistics_Tutorial_|_Mad_(Data)_Scientist [Ed:
                        Sadly outsourced to Microsoft proprietary software/
                        prison]⠀⇛


                             It is not just a quick introduction, but a
                             REAL one, a practical one. Even those who do
                             already know statistics will find that they
                             learn from this tutorial.


                      # ⚓ RObservations_#44:_Adding_Frame_and_Custom_Title
                        Support_To_mapBliss_–_bensstats [Ed: Sadly, this one
                        too helps_Microsoft_swallow_R]⠀⇛


                             The mapBliss package is a R package which I
                             developed which allows for users to make
                             custom souvenir quality maps of their
                             flights, road trips and favorite cities by
                             utilizing the power of the leaflet and other
                             R packages (for a full list, see the Github
                             README here).


                # § Python⠀➾


                      # ⚓ Adafruit ☛ CircuitPython_in_2023⠀⇛


                             Happy 2023! As the year starts, let’s take
                             some time to share our goals for
                             CircuitPython in 2023 and beyond. Just like
                             past years (full summary 2019, 2020, 2021,
                             and 2022), we’d like everyone in the
                             CircuitPython community to contribute by
                             posting their thoughts to some public place
                             on the internet by Wednesday January 18th,
                             2023.


                # § Shell/Bash/Zsh/Ksh⠀➾


                      # ⚓ Make Use Of ☛ How_to_Install_Z_Shell_(Zsh)_and_Oh_My
                        Zsh_on_Linux⠀⇛


                             Z shell is an efficient, powerful, and
                             interactive Unix shell. It’s easy to install,
                             configure, use, and learn on any Linux
                             platform including Ubuntu, Fedora, Arch
                             Linux, and more.


                             Here’s how you can install Z shell and Oh My
                             Zsh on your Linux machine.


                      # ⚓ Bryan Lunduke ☛ The_Fork_Bomb:_What_it_is,_how_it
                        works,_and_where_it_originated⠀⇛


                             That simple line has been crashing systems in
                             the Linux world for years — It is known as
                             the (infamous) “BASH Fork Bomb”.


                             When run in a GNU/BASH shell, this BASH
                             variant of the Fork Bomb will bring your
                             average Linux system to its knees, lickety-
                             split. A mere handful of characters that can
                             cause a computer to cry “Uncle.”


                             But what, exactly, is a “Fork Bomb”? How do
                             they work? And where on this green Earth of
                             ours were they first created?


                             Come with me on a journey into the history,
                             design, and usage of one of the most
                             dastardly ideas in all of computing… of The
                             Fork Bomb!


                # § Rust⠀➾


                      # ⚓ Nicholas Tietz-Sokolsky ☛ Working_with_Rust_in_
                        (neo)vim_|_nicholas@web⠀⇛


                             I’ve been using vim for nearly as long as
                             I’ve been writing code. My first introduction
                             to it was being thrown in the deep end in
                             2009 by my Intro to CS lab assistant, who
                             told us to write our programs using vi1 on
                             the department servers. Why he told us that,
                             I have no idea. But I got used to switching
                             into and out of insert mode, and also how to
                             save and quit.


                             At my internship in 2011, I learned to use
                             vim in earnest. The project I worked on
                             thrashed system memory by running HBase in a
                             test suite over and over, and my work would
                             routinely crash Eclipse2 as a result. I don’t
                             remember if my mentor suggested it or if I
                             used vim on my own, but he did encourage it.
                             He urged me to learn proper vim and disable
                             the arrow keys to get used to navigating with
                             the hjkl keys. That got me to learn it
                             quickly through immersion and I fell in love.


    * § Leftovers⠀➾


          o ⚓ Terence Eden ☛ What_would_a_decentralised_Uber_look_like?_–
            Terence_Eden’s_Blog [Ed: Uber "ridiculously convenient" to who?
            Their Saudi owners who wheel people in for assassination inside
            embassies?]⠀⇛


                 Uber are undoubtedly a company engaged in extremely dodgy
                 activity. But, on the other had, they’re ridiculously
                 convenient.


                 A few months ago, we landed in a foreign country, opened
                 the same Uber app as we used back home, and booked a cab.
                 It just worked. I didn’t need to register for a different
                 version. I didn’t need to create a new account. I didn’t
                 need to add a new credit card. That’s the sort of
                 seamless experience which can only come from a
                 centralised service.


                 But, hey, we’re all moving to a ReDeCentralised Federated
                 Future. Nae king! Nae quin! Nae laird! Nae master! We
                 willna’ be fooled again! So let’s think about how a
                 decentralised Uber would work.


          o ⚓ Terence Eden ☛ Tech_Predictions_for_2023⠀⇛


                 As I wrote about in The Social Pendulum we see a swing to
                 extremes of culture. We’ve had a decade-or-so of big
                 central social networks. Now we’re swinging the other
                 way.


          o ⚓ Fortune ☛ Gen_Z_is_overwhelmed_by_‘tech_shame’_at_work—and_it’s
            keeping_them_quiet_in_meetings⠀⇛


                 When the Zoom lags, some participants might be panicking
                 more than others: Gen Z.


                 They’re most likely to feel plagued by technological
                 issues at work, according to HP’s global survey of 10,000
                 office workers around the world. That might be surprising
                 considering the youngest generation is digitally native,
                 often assigned the job of explaining newfangled gizmos or
                 devices to their older peers at work. But that can put
                 Gen Z under pressure.


                 While 1 in 5 young office workers report feeling judged
                 for having tech issues, only 1 in 25 of their older
                 coworkers feel the same way, according to HP. They’re
                 also 10 times more likely to feel shame when having these
                 tech snafus than their peers over age 40.


          o ⚓ Nolan Lawson ☛ 2022_book_review_|_Read_the_Tea_Leaves⠀⇛


                 Once again, here are the books I read this year, and
                 especially the ones I’d recommend.


                 One interesting thing I noticed about this year: in years
                 past, I mentioned trying to read more books written by
                 women. Well this year, without consciously trying, 9 out
                 of the 13 books I read were written by women. I’d pat
                 myself on the back, but if I did a full accounting of all
                 the books I’ve read in my lifetime, I probably have a
                 huge deficit to make up.


          o ⚓ ACM ☛ Making_Traffic_a_Thing_of_the_Past [Ed: A techno-fascist
            Utopia -- spying becoming pervasive and universal, to make things
            "green"]⠀⇛


                 Americans wasted a whopping 3.4 billion hours in 2021
                 thanks to traffic, according to research from connected
                 car analytics company INRIX, which also noted that this
                 equates to 36 hours lost per person. The numbers are
                 clear: Even with drops in traffic thanks to new travel
                 patterns in the wake of the pandemic, we still lose an
                 entire workweek each year to traffic.


          o ⚓ Jay Little ☛ Pop_Goes_the_Gaslighting_Weasel⠀⇛


                 This is one of the things that resonates with me most.
                 Mostly because I had worked with my boss a lot over the
                 course of many years so we had worked together on a
                 rather extensive list of projects. One thing I had
                 started to notice over the last few years is that no
                 matter how bad some of these projects had gone, My bosses
                 memories of them always seem to paint the project in a
                 very positive light whereas my memories were usually more
                 negative.


                 Meanwhile the ex-clients generally had very negative
                 memories too. I know because I was still working with
                 some of them on my own and we’d occasionally chat about
                 the past. Of course now I realize that that my boss was
                 painting themselves in a positive light. In every story
                 they tell, they are the hero. There can be no other
                 version of it. At least not in their deeply disturbed
                 worldview.


                 Needless to say, I won’t be working with this person
                 again. Especially now that I have fully realized how I
                 was being treated. I’m also not going to belabor this
                 issue or go too deeply into specifics as I know that
                 despite protests saying otherwise, this person deeply
                 desires any kind of open line of communication with me. I
                 will not give them that.


                 Enjoy the silence asshole because I sure will.


          o ⚓ How_to_start_a_successful_blog_in_2023_–_Manu⠀⇛


                 I have a blog. It is successful. So let me tell you how
                 to start yours by describing exactly how to make a copy
                 of mine. Wouldn’t that be an incredibly useful and
                 creative blog post? One minor problem… two actually.
                 First, my blog is definitely not successful (and that’s a
                 feature, not a bug) and second, there are many, many good
                 ways to start a blog. So, let me just write down some of
                 the ways you can start a blog—a successful one—in 2023.


                 [...]


                 You’re basically in the camp I’m in. I can’t afford to
                 spend a lot running a server for my stuff just for fun
                 but I do have enough skills to make and run my own blog.
                 I’d say your best options are to pick a CMS—I’d go file
                 based if I were you—and then I’d host my site on a
                 relatively cheap VPS. You can keep a personal site up for
                 less than $5/m, domain included which to me sounds like a
                 reasonable price to pay.


          o ⚓ James G ☛ The_comfort_of_rewatching_90s_sitcoms⠀⇛


                 My favourite category of television show is 90s sitcoms.
                 I greatly enjoy Frasier and Seinfeld. I have watched both
                 series many times, although on many occasions I have had
                 the show on in the background before I go to sleep. I
                 enjoy going to sleep after watching something funny. I
                 remember reading an article in The Atlantic at the
                 beginning of the pandemic that spoke about the comfort of
                 watching shows you have already seen before. This idea
                 just came to mind again.


                 I maintain a public list of television shows that I want
                 to watch. I keep this record to remind me of what I have
                 found in the past that I thought I may enjoy. This makes
                 it easier for me to decide what to watch should I choose
                 to watch a television show (or indeed a movie). But,
                 despite having a list of things I want to watch, I keep
                 re-watching Seinfeld and Frasier (even if only in the
                 background).


          o ⚓ Latest_Isn’t_Always_Greatest:_Why_Product_Updates_Capture
            Consumers⠀⇛


                 Suppose you’re in the market for a new selfie stick for
                 an upcoming vacation. You see two models online—one that
                 extends to 24 inches and the other to 16. Seems obvious
                 that you’d pick the longer one, right? Bigger and better
                 panoramic pics!


                 Well, not necessarily.


                 When presented with this exact scenario in an experiment,
                 most people did indeed choose the longer stick, whereas
                 only 15 percent initially chose the shorter one. However,
                 when the short version was labeled as “newer,” twice as
                 many, about 31 percent, chose it—even though all of the
                 other product information remained the same. Why? Because
                 consumers gravitate to merchandise labeled as “updated,”
                 even if the items are not necessarily improved, according
                 to the results.


                 “Once something says ‘revised’ on it, it makes you
                 suspend critical judgment.”


          o ⚓ Rick Carlino ☛ 2022_Year_in_Review⠀⇛


                 2022 was a calm year and my first normal-ish year after
                 COVID disruptions. My year was defined by a significant
                 career change and reduced public engagement. I spent most
                 of my time outside of work running and only entertained a
                 small number of projects.


          o ⚓ Robert OCallahan ☛ Eyes_Above_The_Waves:_Travers-Sabine_Circuit
            2022⠀⇛


                 After completing the Paparoa Track on December 14, six of
                 our group were dropped off in St Arnaud to prepare for
                 the Travers-Sabine Circuit. We spent two nights at Nelson
                 Lakes Motel, with a rest day on December 15 to do
                 laundry, buy a few more supplies, pack for the circuit,
                 and generally relax (including watching Morocco vs France
                 in the football World Cup).


                 On December 16 we got up early and took a boat across
                 Lake Rotoiti to Coldwater Hut where we started the track.
                 That day we marched for several hours up the Travers
                 Valley, all the way to Upper Travers Hut at the head of
                 the valley. It was a long, tiring walk with heavy packs
                 containing supplies for six days, but not especially
                 difficult. As forecast, the weather was foggy and a bit
                 drizzly but not bad and when we reached Upper Travers we
                 had some good views of Mt Travers and surrounding slopes
                 still with patches of snow. The second day we crossed the
                 Travers Saddle — a more difficult walk, starting with a
                 steep 500m-vertical climb to the saddle, followed by a
                 1km-vertical desent to the East Sabine River and a walk
                 to West Sabine Hut. This day the weather was pretty good
                 and we had some great views from the saddle.


          o § Hardware⠀➾


                # ⚓ Indian_researchers_build_computing_platform_for_next-gen
                  devices,_data_centres⠀⇛


                       Researchers at the Indian Institute of Sciences
                       (IISC) have developed an energy-efficient computing
                       platform that uses memristors instead of the
                       conventional CMOS (complementary metal oxide
                       semiconductor) fabrication process for building
                       electronic circuits.


                       Unlike CMOS, which processes and stores data in
                       different locations in an integrated circuit and
                       consumes more energy for communication, memristors
                       process as well as store data in the same location,
                       resulting in improved speed and efficiency.


                       “We are resolving this problem by performing both
                       computation and storage at the same physical
                       location,” said Sreetosh Goswami, assistant
                       professor, CeNSE (Centre for Nano Science and
                       Engineering) at IISC.


                # ⚓ IEEE ☛ Mars_Helicopter_Is_Much_More_Than_a_Tech_Demo_–_IEEE
                  Spectrum⠀⇛


                       The original mission of the Mars Helicopter (named
                       Ingenuity) was to successfully complete a single
                       30-second long flight on Mars. That happened back
                       in April. After several more successful flights,
                       Ingenuity’s 30-day mission came to an end, but the
                       helicopter was doing so well that NASA decided to
                       keep it flying. Several months later, JPL promised
                       that Ingenuity would “complete flight operations no
                       later than the end of August,” but as of late
                       November, the little helicopter has completed 17
                       flights with no sign of slowing down.


                # ⚓ Space ☛ Mars_helicopter_Ingenuity_aces_1st_flight_after
                  software_update_|_Space [Ed: GNU/Linux inside]⠀⇛


                       These more daring flights required the Ingenuity
                       team to search for level airfields that are free of
                       rocks that could damage the helicopter during
                       landing. Because Jezero Crater, which the
                       helicopter and Perseverance are exploring, is
                       rather rocky, those flat, safe airfields have been
                       hard to find. The new software will use Ingenuity’s
                       downward-facing camera to detect risky objects
                       before landing and steer Ingenuity to avoid them,
                       allowing the chopper to use smaller airfields.


                       “While in flight, Ingenuity will identify the
                       safest visible landing site,” the Ingenuity team
                       said in a statement (opens in new tab). “When
                       preparing to land, Ingenuity will then divert over
                       to this selected site.”


                       The software will also make Ingenuity more
                       confident in flight. Since the helicopter was
                       designed to fly over flat fields, its cameras
                       previously could get confused by seeing a hilly
                       landscape underneath. The old software would think
                       the helicopter was veering, which would make it
                       actually veer while in flight in a misguided
                       attempt to stabilize its course.


                # ⚓ Quanta Magazine ☛ Quanta_Magazine:_The_Year_in_Physics⠀⇛


                       The year began right as the James Webb Space
                       Telescope was unfurling its sunshield — the giant,
                       nail-bitingly thin and delicate blanket that, once
                       open, would plunge the observatory into frigid
                       shade and open up its view of the infrared
                       universe. Within hours of the ball dropping here in
                       New York City, the sunshield could have caught on a
                       snag, ruining the new telescope and tossing
                       billions of dollars and decades of work into the
                       void. Instead, the sunshield opened perfectly,
                       getting the new year in physics off to an excellent
                       start.


          o § Health/Nutrition/Agriculture⠀➾


                # ⚓ New Scientist ☛ Robot_guides_needle_into_lungs_more
                  accurately_than_human_doctors_|_New_Scientist⠀⇛


                       A medical robot can guide a flexible needle through
                       the lungs of living pigs without direct human
                       control. Over several additional tests on lungs
                       removed from the pigs, the robot placed the needle
                       more precisely than human doctors using a standard
                       straight-needle procedure.


                       “There are many procedures, including biopsy or
                       directed drug delivery or localised radiation
                       cancer treatment, that involve using a needle to
                       get to a specific target to perform the procedure
                       where you’re manoeuvring that needle inside
                       tissue,” says Ron Alterovitz…


                # ⚓ CoryDoctorow ☛ Pluralistic:_Orphaned_neurological_implants_
                  (12_Dec_2022)_–_Pluralistic:_Daily_links_from_Cory_Doctorow⠀⇛


                       The startup world’s dirty not-so-secret is that
                       most startups fail. Startups are risky ventures and
                       their investors know it, so they cast a wide net,
                       placing lots of bets on lots of startups and
                       folding the ones that don’t show promise, which
                       sucks for the company employees, but also for the
                       users who depend on the company’s products.


                       You know what this is like: you sink a bunch of
                       time into familiarizing yourself with a new
                       product, you spend money on accessories for it, you
                       lock your data into it, you integrate it into your
                       life, and then, one morning – poof! All gone.


                       Now, there are ways that startups could mitigate
                       this risk for their customers: they could publish
                       their source code under a free/open license so that
                       it could be maintained by third parties, they could
                       refuse to patent their technology, or dedicate
                       their patents to an open patent pool, etc.


                       All of this might tempt more people to try their
                       product or service, because the customers for
                       digital products are increasingly savvy, having
                       learned hard lessons when the tools they previously
                       depended on were orphaned by startups whose
                       investors pulled the plug.


                       But very few startups do this, because their
                       investors won’t let them. That brings me to the
                       other dirty not-so-secret of the startup world:
                       when a startup fails, investors try to make back
                       some of their losses by selling the company’s
                       assets to any buyer, no matter how sleazy.


          o § Proprietary⠀➾


                # ⚓ Ruben Schade ☛ Rubenerd:_Feeling_validation_for_Apple_Pay
                  anxiety [Ed: iDiots who think cash payments aren't good; this
                  never happens with cash. Never. Apple typically solves
                  "problems" that do not exist, but it spends billions on
                  marketing, insinuating that there are new problems, like
                  people not wearing a watch that broadcasts their pulse and
                  phones "911" based on nonsense (false reports are a
                  crime).]⠀⇛


                       By this point, most of the people in the queue had
                       given up, and another checkout had opened next to
                       us. There were so many people behind us, we decided
                       to stay put. But this meant watching this person
                       work in vain to get a virtual card working on their
                       phone.


                       There are a couple of lessons here. Test and
                       validate your new payment stuff before trying it at
                       a packed supermarket! Keep carrying your cards,
                       even if you have them in your bag. Added
                       convenience is fine, but what’s your plan B when it
                       fails?


                # ⚓ Bryan Lunduke ☛ Apple_has_changed…_and_not_in_a_good_way.⠀⇛


                       Back in 2007, “Apple Computer, Inc.” dropped the
                       word “Computer” from their name. Becoming, simply,
                       “Apple”.


                       Since then Apple has transformed, radically, into a
                       company that is almost unrecognizable. Their
                       approach to both hardware and software has changed
                       so fundamentally that, if it were not for the big
                       “Apple” logo on their products, you would be
                       forgiven for not recognizing them as being made by
                       the same company.


                       Unfortunately, these changes have not resulted in
                       Apple making better products. The reality is quite
                       the opposite. Any bright spots in the Apple product
                       line is in spite of — not because of — Apple’s
                       abandoning of what made them great in the past.


                       Let’s look through a handful of examples that
                       showcase this dramatic shift.


          o § Security⠀➾


                # ⚓ Bleeping Computer ☛ Attackers_bypass_Coinbase_and_MetaMask
                  2FA_via_TeamViewer,_fake_support_chat [Ed: Proprietary
                  software can n ever offer true security, only gadgets and
                  glitz]⠀⇛


                       A crypto-stealing phishing campaign is underway to
                       bypass multi-factor authentication and gain access
                       to accounts on Coinbase, MetaMask, Crypto.com, and
                       KuCoin and steal cryptocurrency.


                       The threat actors abuse the Microsoft Azure Web
                       Apps service to host a network of phishing sites
                       and lure victims to them via phishing messages
                       impersonating bogus transaction confirmation
                       requests or suspicious activity detection.


                       For example, one of the phishing emails seen in the
                       attacks pretended to be from Coinbase, which says
                       they locked the account due to suspicious activity.


                # ⚓ Extreme Tech ☛ What_Is_Speculative_Execution?⠀⇛


                       With a new Apple security flaw in the news, it’s a
                       good time to revisit the question of what
                       speculative execution is and how it works. This
                       topic received a great deal of discussion a few
                       years ago when Spectre and Meltdown were frequently
                       in the news and new side-channel attacks were
                       popping up every few months.


                       Speculative execution is a technique used to
                       increase the performance of all modern
                       microprocessors to one degree or another, including
                       chips built or designed by AMD, ARM, IBM, and
                       Intel. The modern CPU cores that don’t use
                       speculative execution are all intended for ultra-
                       low power environments or minimal processing tasks.
                       Various security flaws like Spectre, Meltdown,
                       Foreshadow, and MDS all targeted speculative
                       execution a few years ago, typically on Intel CPUs.


                # ⚓ Trail Of Bits ☛ How_to_share_what_you’ve_learned_from_our
                  audits⠀⇛


                       Trail of Bits recently completed a security review
                       of cURL, which is an amazing and ubiquitous tool
                       for transferring data. We were really thrilled to
                       see cURL founder and lead developer Daniel Stenberg
                       write a blog post about the engagement and the
                       report, and wanted to highlight some important
                       things he pointed out.


                       In this post, Daniel dives into cURL’s growth since
                       its last audit in 2016: the project; the codebase;
                       and then into the work with Trail of Bits. He
                       touched on both the engagement experience and the
                       final report.


                # ⚓ Ruben Schade ☛ Password_managers_must_encrypt_metadata
                  too⠀⇛


                       In Australia’s previous government, attorney
                       general George Brandis struggled to define metadata
                       in one of the defining moments in modern political
                       TV history. At one point he said it was details on
                       an envelope, before recanting, then saying it was,
                       sort of. His argument, when he eventually got to
                       it, was that metadata was meaningless without the
                       contents of the envelope anyway, and that security
                       professionals were overplaying their significance.


                       This was, to use the technical term, nonsense. An
                       envelope from a suicide line, then a GP, then a
                       psychologist, can be interpreted pretty easily. PGP
                       email has the same weakness.


                       LastPass’s most recent security disclosures are
                       worrying for this reason. While attackers can only
                       hope to brute force the leaked binary blobs
                       containing credentials (assuming we trust their
                       implementation), the service is unique among
                       password managers in that it doesn’t encrypt the
                       URLs of sites themselves. This has been known about
                       for years, and it still floors me. I’m practically
                       parquet at this point.


                # § Privacy/Surveillance⠀➾


                      # ⚓ New York Times ☛ For_Sale_on_eBay:_A_Military
                        Database_of_Fingerprints_and_Iris_Scans_–_The_New_York
                        Times⠀⇛


                             German security researchers studying
                             biometric capture devices popular with the
                             U.S. military got more than they expected for
                             $68 on eBay.


                      # ⚓ Universities,_rich_in_data,_struggle_to_capture_its
                        value,_study_finds [Ed: Surveillance in universities
                        misses the whole point of universities]⠀⇛


                             Universities are literally awash in data.
                             From administrative data offering information
                             about students, faculty and staff, to
                             research data on professors’ scholarly
                             activities and even telemetric signals — the
                             functional administrative data gathered
                             remotely from wireless networks, security
                             cameras and sensors in the course of daily
                             operations — that data can be an invaluable
                             resource.


                             But a new study by researchers at UCLA and
                             the MIT Press, published Dec. 23 in the
                             journal Science, finds that universities face
                             significant challenges in capturing such
                             data, and that they severely lag the private
                             sector and government entities in using data
                             to solve challenges and inform strategic
                             planning.


                             “This new research shines a bright light on
                             the ways in which universities are data rich
                             and data poor — and sometimes intentionally
                             data blind,” said Christine L. Borgman,
                             distinguished research professor at the UCLA
                             School of Education & Information Studies and
                             one of the study’s authors. “They are
                             struggling to capture and exploit the true
                             value of their data resources and reluctant
                             to initiate the conversations necessary to
                             build consensus for data governance.”


          o § Transparency/Investigative Reporting⠀➾


                # ⚓ Michael West Media ☛ Troy_Stolz:_pokies_and_money-
                  laundering_whistleblower’s_trial_to_continue_next_year⠀⇛


                       Whistleblower Troy Stolz’s defamation trial against
                       ClubsNSW has run overtime and will continue early
                       next year as the Court hears evidence from Stolz’s
                       former managers regarding bullying and harassment
                       claims and the Clubs CEO’s attempts to enforce
                       damage control in the wake of the Stolz
                       revelations. Callum Foote reports.


                       After five days of gruelling cross-examination by
                       counsel for pokies lobby ClubsNSW, Troy Stolz ended
                       back in hospital on the weekend getting blood clot
                       needles. The whistleblower has Stage 4 cancer.


                       Meanwhile, NSW Premier Dominic Perrottet has upped
                       the ante in his efforts to introduce cashless
                       gaming card reforms and ClubsNSW has threatened to
                       campaign against MPs who support reform.


                       Labor opposition leader Chris Minns has continued
                       to be criticised for refusing to take a significant
                       position on gambling reform.


                       Stolz presented to the Maitland hospital emergency
                       with chest pains, and shortness of breath and was
                       treated for deep vein thrombosis. These were the
                       upshot of complications related to the chemotherapy
                       treatment he is currently undergoing.


          o § Environment⠀➾


                # ⚓ Michael West Media ☛ Kevin_from_Santos_loves_public_hand-
                  outs,_loathes_tax,_lashes_Labor’s_little_gas_price_limit_as
                  “Soviet”_–_Michael_West⠀⇛


                       Kevin Gallagher was paid $37m over five years, more
                       than Santos booked in profits, while they paid zero
                       tax, raked in $20bn income from government gas
                       permits, and never complained once about the $50bn
                       of public subsidies to the fossil fuel sector.
                       What’s the scam?
                       The scam is that Santos boss Kevin has had an
                       embarrassing hissy-fit, invoking Venezuela, Nigeria
                       and a “Soviet-style” intervention by Labor to
                       introduce timid gas price caps (at a high $12gj)
                       which ease power bills for ordinary Australians but
                       don’t touch the 80% of gas exported by Santos and
                       other cartel members at all.
                       Not a peep from Kevin either and his corporate
                       welfare cronies when the government was intervening
                       to hand-out $2bn in subsidies to build Darwin’s
                       Middle Arm gas port to help Kevin and co make
                       millions from gas fracking in the Beetaloo Basin at
                       the expense of the public and the planet.


                # ⚓ Michael West Media ☛ Coalition_sidelined,_fossil_outrage_as
                  Labor_strikes_deal_on_Energy_Relief_bill_with_Greens_–
                  Michael_West⠀⇛


                       The government’s Energy Price Relief Plan bill has
                       passed in a tumultuous final day of parliament for
                       2022 after the Greens secured funding to help
                       people on low incomes transition away from gas
                       appliances and electrify their homes. But the
                       question of the cartel behaviour by gas companies
                       remains, reports Daniel Bleakley.


                # ⚓ Michael West Media ☛ CoalKeeper_is_dead_but_Chris_Bowen’s
                  New_Energy_Scheme_is_secret_like_Dan_Andrews’_–_Michael
                  West⠀⇛


                       In early December, the nation’s energy ministers
                       met to drive the final nail into the coffin of the
                       Scott Morrison’s much-maligned “CoalKeeper” scheme,
                       agreeing to a totally new scheme to support clean
                       energy storage.


                       [...]


                       As Queensland Minister for Energy Mick de Brenni
                       proclaimed after the recent meeting of the nation’s
                       energy ministers: “Angus Taylor and Scott
                       Morrison’s CoalKeeper is dead”.


                       Like ‘CoalKeeper’, the government’s new Capacity
                       Investment Scheme will underwrite dispatchable
                       power to support the entry of more intermittent
                       renewables into the grid. Unlike CoalKeeper, it
                       will only support low-carbon dispatchable power
                       like batteries and pumped hydro and, therefore,
                       won’t face accusations of propping up coal-fired
                       power longer than it would otherwise exist.


                # § Mind Pollution⠀➾


                      # ⚓ Scientific American ☛ Is_Your_Phone_Actually_Draining
                        Your_Brain?_–_Scientific_American⠀⇛


                             Right now my phone is sitting next to me
                             untouched. But have I really protected myself
                             from its distractions or its ability to
                             impact my mind? The answer is no, according
                             to a well-known study in the Journal of the
                             Association for Consumer Research from 2017
                             entitled “Brain Drain: The Mere Presence of
                             One’s Own Smartphone Reduces Available
                             Cognitive Capacity.”


          o § Finance⠀➾


                # ⚓ Michael West Media ☛ Pub_billionaire’s_Endeavour_sails_into
                  Captain_Cook_storm_–_Michael_West⠀⇛


                       Court documents reveal that pubs and pokies baron
                       Bruce Mathieson’s Endeavour Group may have
                       underpaid $700,000 in stamp duty when buying the
                       Captain Cook Hotel in Sydney. Callum Foote reports.


                # ⚓ Michael West Media ☛ Brexit:_Britain’s_political_tragedy
                  poses_a_dire_warning_for_Australia_–_Michael_West⠀⇛


                       Brexit’s a dud. The UK economy has shrunk. Almost
                       17 million Brits live in poverty. And there are
                       large lessons in it for Australia. Michael West
                       reports.


                       [...]


                       The British pound has cratered, rendering imports
                       more expensive, inflation is in double digits, debt
                       at record levels, trade has been hammered; the UK
                       Office for Budget Responsibility, the body which
                       produces economic forecasts for the government,
                       expects Brexit to reduce Britain’s output by 4%
                       over 15 years compared to remaining in the EU
                       trading bloc.


                       As Prem Sikka, accounting professor and Labour
                       member of the House of Lords, puts it, “The UK has
                       become a poor country with a lot of very rich
                       people in it.
                       “Just 250 people have wealth of £710.723bn whilst
                       average real wage of workers is less than what it
                       was in 2007.


                       “Some 16.65 million live in poverty. The poorest
                       20% in Ireland have a standard of living almost 63%
                       higher than the equivalent poorest in the UK. Most
                       people don’t have the spending power to rejuvenate
                       the economy and no major political party is
                       pursuing equitable distribution of income and
                       wealth.”


                # ⚓ Michael West Media ☛ A_lifetime_of_fraud:_Donald_Trump’s
                  blatant_tax_swindles_unveiled_–_Michael_West⠀⇛


                       Donald Trump knowingly committed dozens of brazen
                       tax frauds during the six years when he ran for
                       office and was President. Trump biographer and tax
                       avoidance expert David Cay Johnston reports.


                       Donald Trump knowingly committed dozens of brazen
                       tax frauds during the six years when he ran for
                       office and was President, my analysis of the
                       Congressional report on his tax returns and other
                       documents shows. This explains why he fought all
                       the way to the Supreme Court in a failed effort to
                       keep his tax information secret.
                       One technique he used at least 26 times between
                       2015 and 2020 was as simple as it was flagrant.
                       Trump filed sole proprietor reports, known as
                       Schedule C, that showed huge business expenses
                       despite having zero revenue. That created losses
                       which Trump used to offset his income from work and
                       investments, thus lowering his income taxes.
                       Additional Schedule Cs had expenses exactly equal
                       to revenues while only a few showed profits.


                # ⚓ CoryDoctorow ☛ [Repeat]_This_“inflation”_is_different⠀⇛


                       Here’s the inflation story you’re expected to
                       believe (advance warning: this story is entirely
                       false): America gave the poors too much money
                       during the lockdown and now the economy is awash in
                       free money, which made those poors so rich that now
                       they’re refusing to work, which means the economy
                       isn’t making anything anymore. With all that extra
                       money and all those missing workers, prices are
                       skyrocketing.


                # ⚓ Michael West Media ☛ Alan_Joyce_relents_to_more_than_double
                  pay-deal_in_its_fight_with_Qantas_engineers_union_–_Michael
                  West⠀⇛


                       Union-brawling Qantas chief Alan Joyce has
                       capitulated to pay rises of up to 33% over five
                       years in a deal struck with the Aircraft Engineers’
                       Association. Michael Sainsbury with the scoop.


                       [...]


                       Licensed aviation engineers are an increasingly
                       rare breed both in Australia and worldwide. Their
                       average age is 54 and the company has all but
                       stopped training apprentices over the past 13
                       years.
                       Nevertheless, for those who remain, this is
                       substantially above the standard offer of 9% over
                       five years he has been telling the market he won’t
                       budge on for Qantas staff. Unions have been pushing
                       back against the broad offer which effectively
                       lowers the real wages of the company’s staff by 10-
                       15% as it charges towards a record half-year profit
                       of up to $1.4 billion for the six months to
                       December 31.
                       Qantas deals with multiple unions including the
                       Australian Federation of Air Pilots, the ALAEA, the
                       Transport Workers Union, the Flight Attendant’s
                       Association of Australia (FAAA), the Transport
                       Workers Union, the Australian Services Union (ASU)
                       and the Australian and International Pilots
                       Association (AIPA).


                # ⚓ Ricardo García ☛ Year-end_donations_round,_2022_edition⠀⇛


                       As I’ve explained in the past, at the end of each
                       calendar year I always like to make a small round
                       of personal donations to projects and organizations
                       that are important for my personal digital life.


          o § AstroTurf/Lobbying/Politics⠀➾


                # ⚓ Michael West Media ☛ Message_Massage:_are_political
                  operatives_manipulating_elderly_voters_in_nursing_homes?_–
                  Michael_West⠀⇛


                       Aged care homes and retirement villages are being
                       targeted to harvest votes from Australia’s elderly.
                       Is it systemic, or just a few anecdotes? Dr Sarah
                       Russell looks at the evidence.


                       Some aged care homes and retirement villages are
                       actively disenfranchising older people in what
                       could be described as a corruption of the political
                       process. These providers allow only some candidates
                       to distribute election material within their
                       premises. They also control which candidates meet
                       their residents.


                       I first became aware of the disparity of access
                       during the 2013 federal election campaign. While
                       spending time with my mother in a residential aged
                       care home, I noticed that only one candidate
                       visited the home. When I asked whether other
                       candidates would be visiting, I was told that only
                       this candidate had been “invited”.


                # ⚓ Michael West Media ☛ Josh_and_Scott_deliver_Goldman_Sachs
                  the_giant_vampire_squid_a_giant_quid_–_Michael_West⠀⇛


                       Josh Frydenberg as treasurer and secret treasurer
                       Scott Morrison made a motza for foreign vulture
                       funds in last year’s takeover boom and record
                       Aussie assets sell-off. Who knew what when, and why
                       are we flogging essential monopoly services to
                       cuff-linked tax crooks?


                       Two months after losing his seat at the federal
                       election, former treasurer Josh Frydenberg landed
                       on his feet with Wall Street investment bank
                       Goldman Sachs.


                       Goldman Sachs was a banker to most of the large
                       foreign takeovers that the Treasurer approved
                       during his time. And there were some monsters:
                       Afterpay, AusNet, Spark Infrastructure and Sydney
                       Airport among them.


                       Once famously labeled the “Giant Vampire Squid
                       wrapped around the face of humanity”, Goldman made
                       a truckload of money from the decisions of Scott
                       and Josh’s Treasury.


                       So, Australia’s reputation as an attractive
                       destination for foreign capital was surely
                       burnished during the Treasury stewardship of the
                       dynamic duo. Burnished that is, as a destination
                       for easy-pickings.


                       Sadly for Australians however – as opposed to Wall
                       Street – we are too attractive; chumps and fools
                       for foreign vulture funds with a penchant for
                       snatching our assets on the cheap: things the
                       public have already paid for, built, privatised and
                       subsidised – and then plonking them in tax havens.


                # § Misinformation/Disinformation/Propaganda⠀➾


                      # ⚓ Leaked_Documents_Outline_DHS’s_Plans_to_Police
                        Disinformation⠀⇛


                             The Department of Homeland Security is
                             quietly broadening its efforts to curb speech
                             it considers dangerous, an investigation by
                             The Intercept has found. Years of internal
                             DHS memos, emails, and documents — obtained
                             via leaks and an ongoing lawsuit, as well as
                             public documents — illustrate an expansive
                             effort by the agency to influence tech
                             platforms.


          o § Digital Restrictions (DRM)⠀➾


                # ⚓ Ruben Schade ☛ Sideloading_[sic]_on_iTelephone [Ed:
                  Propaganda term against people installing what they want on
                  their things ]⠀⇛


                       I haven’t felt strongly about sideloading software
                       on phones either way; maybe I should have. But
                       Bruce Schneier’s latest submission to the US Senate
                       Judiciary Committee makes a compelling case for
                       granting third party access.


          o § Monopolies⠀➾


                # ⚓ CoryDoctorow ☛ Web_apps_could_de-monopolize_mobile
                  devices⠀⇛


                       Mobile tech is a duopoly run by two companies –
                       Google and Apple – with a combined market cap of
                       $3.5 trillion. Each company uses a combination of
                       tech, law, contract and market power to force
                       sellers to do commerce via an app, and each one
                       extracts a massive commission on all in-app sales –
                       15-30%!


                       This is bad for users and workers. Many companies’
                       gross margins are less than 30%. In some
                       categories, that means there’s no competition. Take
                       audiobooks: publishers wholesale their audiobooks
                       to retailers at a 20% discount, so a retailer that
                       sells its audiobooks through an app, paying a 30%
                       commission, will lose money through every sale.


                # § Copyrights⠀➾


                      # ⚓ Financial Times ☛ AI_breakthrough_ChatGPT_raises
                        alarm_over_student_cheating⠀⇛


                      # ⚓ Ruben Schade ☛ Rubenerd:_Marcel_Bischoff_discusses
                        commercial_radio⠀⇛


                             My interest in understanding incentive
                             structures is a recurring theme here, whether
                             it be digital privacy or software
                             development. If shorter, shallower tracks are
                             easier to produce, get higher play counts,
                             and therefore generate more money, the
                             industry will trend in that direction.


                      # ⚓ Public Domain Review ☛ Happy_Public_Domain_Day_2023!
                        –_The_Public_Domain_Review⠀⇛


                             As people waken round the world to a brand
                             new year, so the public domain wakens to
                             thousands more works having entered its ever-
                             expanding expanse, including Fritz Lang’s
                             Metropolis, Virginia Woolf’s To the
                             Lighthouse, and the works of M. C. Escher and
                             Edward S. Curtis.
                             Each January 1st is Public Domain Day, where
                             a new crop of works have their copyrights
                             expire and become free to enjoy, share, and
                             reuse for any purpose. Due to differing
                             copyright laws around the world, there is no
                             one single public domain, but there are three
                             definitions which cover most cases. For these
                             three systems, newly entering the public
                             domain today are:
                             works by people who died in 1952, for
                             countries with a copyright term of “life plus
                             70 years” (e.g. UK, Russia, most of EU and
                             South America);
                             works by people who died in 1972, for
                             countries with a term of “life plus 50 years”
                             (e.g. New Zealand, and most of Africa and
                             Asia);
                             films and books (incl. artworks featured)
                             published in 1927 for the United States.


    * § Gemini* and Gopher⠀➾


          o § Personal⠀➾


                # ⚓ Hello_2022⠀⇛


                       So another year Gregorian Calendar style has begun.
                       Hello New Year! And a Happy New Year to all, who
                       adhere to this calendar. Good day to everyone!


                # ⚓ Warm_New_Year⠀⇛


                       New Year’s Eve was unusually warm, we watched the
                       fireworks from our


                       balcony, my brother wearing shorts and a t-shirt.
                       Even at midnight we


                       had around 12 ˚C. Now the thermometer on the
                       balcony displays 15 ˚C.


                # ⚓ Day_001:_The_monumental_staircase_of_the_Temple_of
                  Cupidity⠀⇛


                       In an old deep cavern, occupied centuries ago by a
                       dangerous clan of Dwarves, you see the small two-
                       doored entrance of a construction of some sort.


                       When you enter the construction, you see before you
                       a very massive staircase sculpted directly on the
                       rock. There’s no inscription, no statues, no
                       symbol, nothing. And yet, you sense something
                       malevolent, just like if every vein of the rock
                       around you was full of a long-forgotten dark
                       energy.


                # ⚓ Micro_album_reviews_04⠀⇛


                       It’s been, yikes, over a year since I did some
                       short album reviews. I stopped writing but I didn’t
                       stop listening. In fact, the quest I embarked on
                       some years back to expand my musical horizons and
                       to be less passive in my consumption of music has
                       been an unmitigated success. I listen to and enjoy
                       a much wider range of musical styles and eras today
                       than I ever have in the past. And I’m not done yet!


                # ⚓ Hello_2023⠀⇛


                       Hello New Year! And a Happy New Year to all, who
                       adhere to this calendar. Good day to everyone!


                # ⚓ 🔤SpellBinding:_EKORSTY_Wordo:_FETES⠀⇛


          o § Technical⠀➾


                # ⚓ Export_/_Import_flatpak_programs_from_a_computer_to
                  another⠀⇛


                       As a flatpak user, but also someone with a slow
                       internet connection, I was looking for a way to
                       export a flatpak program to install it on another
                       computer. It turns out flatpak supports this, but
                       it’s called “create-usb” for some reasons.


                # ⚓ Sonic-PI⠀⇛


                       Been playing with Sonic-PI which is an easy to use
                       (and install) live coding music environment.


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



                    ䷩ 𝚕𝚒𝚗𝚎 3994

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 01.01.23⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


Gemini_version_available_♊︎


✐ Links_1/1/2023:_First_for_the_Year!⠀✐


Posted in News_Roundup at 3:49 am by Dr. Roy Schestowitz


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * GNU/Linux
          o Audiocasts/Shows
          o Instructionals/Technical
          o Desktop_Environments/WMs
                # K_Desktop_Environment/KDE_SC/Qt
    * Distributions_and_Operating_Systems
          o Debian_Family
          o Devices/Embedded
    * Free,_Libre,_and_Open_Source_Software
          o Programming/Development
                # Perl_/_Raku
    * Leftovers
          o Science
          o Hardware
          o Health/Nutrition/Agriculture
          o Linux_Foundation
          o Security
                # Privacy/Surveillance
          o Defence/Aggression
          o Environment
                # Energy/Transportation
          o Finance
          o AstroTurf/Lobbying/Politics
          o Censorship/Free_Speech
          o Freedom_of_Information_/_Freedom_of_the_Press
          o Civil_Rights/Policing
          o Digital_Restrictions_(DRM)
          o Monopolies
                # Copyrights
    * Gemini*_and_Gopher
          o Personal
          o Politics
          o Technical
                # Internet/Gemini
                # Programming
    * § GNU/Linux⠀➾


          o § Audiocasts/Shows⠀➾


                # ⚓ Video ☛ Channel_Update_and_Happy_New_Year!_–_Invidious⠀⇛


                       Yes, I am still here…. Just a quick update. 🄸🄼🄰🄶🄴
                       🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇:)⦈


                # ⚓ Video ☛ 5_Linux_Distros_To_Watch_In_2023⠀⇛


                       A video covering 5 specific distros I believe we
                       need to keep an eye on in 2023. They range
                       everywhere from basic distros to gaming distros. I
                       believe they will bring new possibilities to the
                       Linux community.


                # ⚓ GNU World Order (Audio Show) ☛ GNU_World_Order_493⠀⇛


                       **ksirk** , **ksmtp** , **ksnakeduel** ,
                       **ksquares** , **ksshaskpass** , **kstars** ,
                       **ksudoku** , **ksystemlog** from the Slackware
                       **kde** package set.


                # ⚓ Video ☛ Don’t_Name_Files_Like_This_On_Any_Linux_Distro_–
                  Invidious⠀⇛


                       There are some dumb things you can do on Linux but
                       what if you start using symbols in you file names
                       that are used by other things, well luckily there
                       are ways to deal with that.


                # ⚓ Video ☛ Linux_passes_MacOS,_Mastodon_says_no_to_$$_–_TikTok
                  privacy_problems:_Linux_–_Open_Source_News_–_Invidious⠀⇛


                # ⚓ Video ☛ Sabrent’s_2230_Steam_Deck_SSDs_are_now_available!_–
                  Invidious⠀⇛


                # ⚓ Video ☛ E93:_Tech_Talk:_Tech_Workers_Remain_in_High_Demand
                  –_Invidious⠀⇛


                # ⚓ Video ☛ Testing_out_BunsenLabs_Linux_Beryllium_LIVE_|
                  DistroDelves_S4:E12_–_Invidious⠀⇛


                       Good bye 2022! 0:00 Loading, Please Wait… 3:52
                       Trying to get into the installer (bad display
                       corruption) 10:08 Made it to the installer! (but it
                       won’t install) 23:14 Trying the installer again…
                       31:27 Introducing: BunsenLabs Linux Beryllium! 1:
                       20:32 Playing some Indie Games 1:49:52 Androgee
                       failing to destroy the distro 1:53:50 Egee Playing
                       Guitar 2:01:45 The End (of 2022)


          o § Instructionals/Technical⠀➾


                # ⚓ TecAdmin ☛ ERROR:_No_matching_distribution_found_for
                  tkinter_(Resolved)_–_TecAdmin⠀⇛


                       If you get an error message saying “Could not find
                       a version that satisfies the requirement tkinter
                       (from versions: none). No matching distribution
                       found for tkinter”, can be frustrating and may
                       prevent you from using Tkinter in your Python
                       scripts. In this tutorial, we will learn how to
                       resolve this error and successfully install Tkinter
                       on a Linux system using either default package
                       manager.


                # ⚓ TecAdmin ☛ A_Beginner’s_Guide_to_Formatting_EXT4_Partitions
                  on_Linux_–_TecAdmin⠀⇛


                       Welcome to our beginner’s guide to formatting EXT4
                       partitions on Linux! In this tutorial, we’ll walk
                       you through the process of creating and formatting
                       an EXT4 partition on a Linux system, using tools
                       like `mkfs.ext4`. We’ll also cover some important
                       considerations to keep in mind when formatting an
                       EXT4 partition.


                       Before we get started, it’s important to note that
                       formatting a partition will erase all data on it.
                       Make sure you have backed up any important data
                       before proceeding.


                # ⚓ Video ☛ Install_Linux_Without_Losing_Your_Windows_OS_–
                  Short_–_Invidious⠀⇛


                # ⚓ Barry Kauler ☛ Warning_old_bootloaders_not_support_ext4
                  encrypt⠀⇛


                       EasyOS uses the ext4 encrypt feature for folder
                       encryption. At first bootup of a new installation
                       of EasyOS, the ‘init’ script in the ‘initrd’ will
                       see if the encrypt feature is not enabled and will
                       offer to enable it.


                       The problem arises if you are booting with an old
                       version of GRUB. GRUB v1 and GRUB4DOS will no
                       longer recognize the partition as having an ext4
                       partition, if the encrypt feature is enabled.


                       I was surprised that GRUB v2 did not recognize the
                       encrypt feature until mid-2017, after version 2.02
                       was released. The next official release was 2.04,
                       in 2019, though possibly some distributions may
                       have applied patches to 2.02 including recognize
                       the ext4 encrypt feature.


                # ⚓ Make Use Of ☛ How_to_Install_and_Set_Up_Anaconda_on
                  Ubuntu⠀⇛


                       Anaconda is an open-source software used to manage
                       machine learning, data science, and other
                       scientific workflows. It is an integrated Python
                       environment that comes packed with hundreds of
                       scientific packages that help you get started with
                       your projects.


                       Anaconda is easy to install and configure on Linux
                       as well as other operating systems, including
                       Windows and macOS. Let’s see how you can install
                       and set up Anaconda on Ubuntu via the command line.


                # ⚓ FOSSLinux ☛ How_to_install_Fedora_on_VirtualBox_|_FOSS
                  Linux⠀⇛


                       Fedora, first released to the market as Fedora
                       core, is a Linux distro developed by members of the
                       Fedora Project. Red Hat supports it alongside other
                       companies. This is one of the most stable and
                       bleeding-edge Linux distros out there that
                       centralized its project around generating a multi-
                       purpose OS of free software packages. It is great
                       for office work, software development, multimedia,
                       web development, and more.


                # ⚓ FOSSLinux ☛ How_to_install_RPM_packages_on_Ubuntu_|_FOSS
                  Linux⠀⇛


                       The Ubuntu version of Linux has thousands of deb
                       packages that can be installed from the official
                       Ubuntu software center or by using the apt command
                       line utility. Deb is an installation package format
                       used by all Debian-based distros, including Ubuntu.
                       However, some packages are not available in the
                       standard Ubuntu repo, but they can easily be
                       installed by enabling the appropriate source.


                       Generally, when the software vendor does not offer
                       a repo, they will have a download page from which
                       you can download and compile or set up the deb
                       package software from sources. Not so regularly,
                       some software may be provided only as an RPM
                       package. RPM, in this case, is just another package
                       format used mainly by Red Hat and its derivatives
                       like CentOS. As such, they are installing such an
                       application requires some tweaks and tricks to get
                       it done. Luckily, an alien tool permits us to set
                       up an RPM file on Ubuntu or convert an RMP file
                       into a Debian package file. Practically, anything
                       from one Linux distribution can be done on another
                       with a change in approach.


                # ⚓ FOSSLinux ☛ How_to_update_Linux_kernel_on_Fedora_|_FOSS
                  Linux⠀⇛


                       A Linux kernel is the primary interface between the
                       PC’s hardware and its processes. It works as a
                       channel for communication between the two, managing
                       resources as effectively as feasible.


                       Just comprehend the kernel to be like a seed inside
                       a hard shell because it exists within the operating
                       system and takes charge of all the major
                       functionalities of the hardware, whether it is a
                       server, phone, laptop, or any other kind of
                       computer. The kernel performs four tasks: memory
                       management, which monitors the amount of memory
                       being used to store what and where; device drivers,
                       which act as an interpreter between processes and
                       hardware; process management, which chooses which
                       processes can use the CPU when and for how long;
                       and, finally, system calls and security, which
                       receives requests for service from the processes.


                # ⚓ FOSSLinux ☛ How_to_run_Android_Apps_in_Linux_without_an
                  Emulator_|_FOSS_Linux⠀⇛


                       Usually, a standard android app is generated for a
                       tablet PC or smartphone running on the Android OS.
                       Still, this guide will explicitly show you how to
                       set it up on your Linux machine without using an
                       emulator.


                       Linux, on the other hand, is an open-source
                       operating system. An operating system is software
                       that directly interlinks and manages a system’s
                       hardware and resources, such as storage, CPU, and
                       memory. The OS sits or works as a bridge between
                       apps and hardware and connects all your physical
                       resources that do the work and your software.


                       How can you run Android games or apps on a Linux
                       machine without an emulator? Because of the
                       creativity and inventiveness of some dedicated Dev
                       Ops, there are currently several ways to run
                       Android apps on Linux. This post will focus on how
                       we can do that without an emulator. Let’s get
                       started.


                # ⚓ ID Root ☛ How_To_Install_R_and_RStudio_on_Ubuntu_22.04_LTS
                  –_idroot⠀⇛


                       In this tutorial, we will show you how to install R
                       and RStudio on Ubuntu 22.04 LTS. For those of you
                       who didn’t know, RStudio is an integrated
                       development environment (IDE) for the programming
                       language R. It is a popular tool among data
                       scientists, statisticians, and researchers for data
                       analysis, visualization, and statistical modeling.
                       It is available as a desktop application for
                       Windows, macOS, and Linux, as well as a web-based
                       application that can be accessed from any device
                       with a web browser.


                       This article assumes you have at least basic
                       knowledge of Linux, know how to use the shell, and
                       most importantly, you host your site on your own
                       VPS. The installation is quite simple and assumes
                       you are running in the root account, if not you may
                       need to add ‘sudo‘ to the commands to get root
                       privileges. I will show you the step-by-step
                       installation of the R and RStudio on Ubuntu 22.04
                       (Jammy Jellyfish). You can follow the same
                       instructions for Ubuntu 22.04 and any other Debian-
                       based distribution like Linux Mint, Elementary OS,
                       Pop!_OS, and more as well.


                # ⚓ FOSSLinux ☛ How_to_install_and_configure_git_on_Fedora_|
                  FOSS_Linux⠀⇛


                       Git is an open-source, free version control program
                       that helps users manage big and small projects
                       effectively. This tool allows several developers to
                       work together on non-linear development as it keeps
                       track of all the changes in a source code for each
                       branch of a project’s history.


                       Git is one of the most prominent Distributed
                       Version Control Systems(DVCS) for DevOps. Linus
                       Torvalds developed Git during the setup of the
                       Linux kernel back in 2005 to help developers
                       collaborate with other members on their projects.


                       You must have, in one way or another, heard about
                       Git at some point if you are learning software
                       development and its various facets. But you don’t
                       need to worry if you haven’t since this guide will
                       explicitly cover Git in detail, along with a brief
                       guide on setting up and configuring it on Linux,
                       particularly Fedora.


                # ⚓ FOSSLinux ☛ How_to_install_Microsoft_Teams_on_Fedora [Ed:
                  This is technically malware. It's better off avoided
                  completely.]⠀⇛


                       The triumph of a team is solely dependent on
                       effective communication. One such powerful solution
                       is Microsoft Teams, a proprietary communication
                       platform created by Microsoft as an element of the
                       Microsoft 365 suite. This software offers a
                       plethora of essential functionalities like file
                       storage, application integration,
                       videoconferencing, chats, and messaging.


                       Additionally, Teams integrates other services like
                       CD/CI pipelines, Git, and much more. One of the
                       most outstanding benefits of Microsoft Teams is
                       that it is a cross-platform tool available for
                       several operating systems (Windows, Linux, macOS,
                       iOS, Android, and web). Teams compete with the
                       similar service Slack, replacing other Microsoft-
                       operated business messaging and collaboration
                       platforms, like Skype for business and Microsoft
                       classroom.


                       Most large firms or organizations currently use
                       Microsoft Teams to connect their employees,
                       primarily because of work-from-home situations.
                       Since this application is well-integrated with
                       Office 365, it is a closed-source and paid app.


                # ⚓ FOSSLinux ☛ How_to_install_LAMP_stack_on_Fedora_|_FOSS
                  Linux⠀⇛


                       The LAMP server is one of the most commonly used
                       sets of open-source apps for creating web apps.
                       This stable and robust server structure is
                       straightforward and simultaneously set up. LAMP is
                       a combination of four components, namely: Linux,
                       Apache, MySql, and Php. A similar counterpart for
                       macOS and Windows is also there, namely MAMP and
                       WAMP.


                       This free, open-source software app drives dynamic
                       apps like Magento, WordPress, Joomla, and much
                       more.


                       This guide will discuss how you can install Apache
                       as the HTTP server, MariaDB or MySQL as a relation
                       DBMS(database management system), and PHP as the
                       server-side scripting language. For this article,
                       we will be using Fedora version 37. In the end,
                       your Apache web server will run a PHP script,
                       connect to a DB and return a successful response.


                # ⚓ FOSSLinux ☛ How_to_update_Fedora_by_GUI_and_command-line
                  ways_|_FOSS_Linux⠀⇛


                       Fedora often introduces numerous enhancements, bug
                       fixes, security updates, and new features.
                       Therefore, it is essential to keep all software up-
                       to-date. Fedora supports package managers such as
                       RPM (DNF), Flatpak, and OSTree – GNOME Software is
                       the default graphical front-end.


                       This guide demonstrates how to update Fedora to
                       obtain the most recent software. There are two ways
                       to update Fedora: the graphical user interface and
                       the command line.


                       Regardless of the distribution, it is essential to
                       maintain all packages up-to-date. Updates to
                       packages include numerous enhancements, bug fixes,
                       security patches, and new or enhanced
                       functionality.


                # ⚓ Major Hayden ☛ Connect_1Password’s_CLI_and_app_in_i3_with
                  lxpolkit_–_Major_Hayden⠀⇛


                       Bitwarden became my go-to password manager a few
                       years ago after I finally abandoned LastPass. Once
                       I read the recent news about stolen password
                       vaults, I was even happier that I made the switch.
                       My original password manager from way back in my
                       Apple days was 1Password. It had a great user
                       interface on the Mac and on iPhones, but I found it
                       frustrating to use when I switched to Linux laptops
                       and Android phones.


          o § Desktop Environments/WMs⠀➾


                # § K Desktop Environment/KDE SC/Qt⠀➾


                      # ⚓ Nate Graham ☛ Highlights_from_2022_–_Adventures_in
                        Linux_and_KDE⠀⇛


                             Many but not all of the items I was hoping
                             for from my 2022 roadmap are finished now.


                             While we didn’t get a new style for Breeze
                             icons or inertial scrolling everywhere, we
                             did get the merged “Formats and Languages”
                             KCM and a major overhaul for multi-monitor
                             support to make it all finally work properly.
                             “The Wayland session can completely replace
                             the X11 session” is a bit fuzzier, but I can
                             tell you that it’s done so for me! I only
                             ever use the X11 session for occasionally
                             testing merge requests. This doesn’t mean
                             it’s there for everyone, of course. But it
                             got ever closer in 2022. And finally, the 15-
                             minute bug initiative was a big success! We
                             didn’t fix every one of the 142 bugs
                             classified as “15-minute bugs” in 2022, but
                             we did fix 95 of them! That’s a pretty good
                             rate. We’ll keep up the focus on these
                             quality-of-life issues in 2023, too.


    * § Distributions and Operating Systems⠀➾


          o § Debian Family⠀➾


                # ⚓ Junichi_Uekawa:_2023_started.⠀⇛


                       2023 started. I’m still stuck at home due to COVID-
                       19 and therefore I have more than usual time on
                       hacking on Debian stuff. I’ve learnt schroot does
                       most of what I have been doing with my home grown
                       tools.


          o § Devices/Embedded⠀➾


                # ⚓ Linux Gizmos ☛ ESP32_based_Open_Source_3D_printer_supports
                  MSLA_resin⠀⇛


                       CrowdSupply recently featured the Lite3DP Gen2
                       which is a miniature MSLA resin 3D printer built
                       around a ESP32 module from Espressif. This product
                       supports all UV 405-nm resins and it can be
                       configured with optional displays for real-time
                       print progress.


                # ⚓ Linux Gizmos ☛ Arduino_compact_board_equipped_9-axis_IMU
                  and_supports_TinyML⠀⇛


                       The Arduino Nano 33 BLE Sense Rev2 is an embedded
                       platform featuring the NINA-B306 module (nRF52840
                       SoC) from u-blox. In addition to wireless support
                       (BL + Zigbee), the new Sense Rev2 combines a 6-axis
                       gyroscope/accelerometer sensor, a 3–axis
                       magnetometer and various other sensors for data
                       acquisition.


                # ⚓ Hackaday ☛ KiCad_2022_End-of-Year_Recap_And_7.0_Preview⠀⇛


                       [Chris Gammell] moderated the KiCad 2022 End-of-
                       Year Recap with several KiCad developers and
                       librarians. They reviewed what’s been bubbling up
                       in the nightly KiCad 6 builds, what we can expect
                       from KiCad 7, and even answered some questions from
                       the user community. Over the course of 2022, the
                       KiCad project has grown both its development team
                       and library team. The project even has a
                       preliminary support commitment from the CERN
                       Drawing Office!


                # ⚓ Hackaday ☛ Battery-Powered_ESP8266_Sensor?_Never_Been
                  Simpler⠀⇛


                       Say, you’re starting your electronics journey with
                       a few projects in mind. You have an ESP8266 board
                       like the Wemos D1, a Li-Ion battery, you want to
                       build a small battery-powered sensor that wakes up
                       every few minutes to do something, and you don’t
                       want to delve into hardware too much for now. Well
                       then, does [Mads Chr. Olesen] have a tutorial for
                       you! Here, you’ll learn the quick and easy way to
                       get your sensor up and running, learn a few tricks
                       for doing sleep Arduino environment, and even
                       calculate how long your specific battery could
                       last.


                # ⚓ Hackaday ☛ Want_To_Play_With_FPGAs?_Use_Your_Pico!⠀⇛


                       Ever want to play with an FPGA, but don’t have the
                       hardware? Now, if you have one of those ever-
                       abundant Pi Picos, you can start playing with
                       Verilog without getting an FPGA board. The FakePGA
                       project by [tvlad1234], based on the Verilator
                       toolkit, provides you with a way to compile Verilog
                       into C++ for the RP2040. FakePGA even integrates
                       RP2040 GPIOs so that they work as digital pins for
                       the simulated GPIOs, making it a significant step
                       up from computer-aided FPGA code simulation


    * § Free, Libre, and Open Source Software⠀➾


          o ⚓ SSLH ☛ sslh_v2.0-rc2_released⠀⇛


                 sslh-v2.0-rc2 is now available from the usual sources:
                 https://www.rutschle.net/tech/sslh/download.html


          o ⚓ Jon Udell ☛ Instance-qualified_Mastodon_URLs⠀⇛


                 Today, as I began to use that new affordance in earnest,
                 I discovered a new challenge. In order to assign someone
                 to a list, or change a list assignment, I clicked the
                 link in the account_url column to open that person’s
                 profile in the Mastodon web app. That was fine for
                 accounts on my home server, mastodon.social. An account
                 URL like Shelley Powers’ https://mastodon.social/
                 @burningbird brings me to Shelley’s profile on my home
                 server where the list manager is available.


          o § Programming/Development⠀➾


                # ⚓ Terence Eden ☛ What’s_an_acceptable_number_of_failures?⠀⇛


                       During my (brief) stint teaching senior leaders
                       about AI, there was one question that I urged them
                       to learn above all others.


                       • What is the acceptable failure rate?


                # ⚓ Roulette-wheel_selection_for_dqrng_|_Ralf_Stubner⠀⇛


                       There is a long standing issue with my {dqrng}
                       package: weighted sampling. Since implementing fast
                       un-weighted sampling methods quite some time ago, I
                       have now started looking into possibilities for
                       weighted sampling.


                # § Perl / Raku⠀➾


                      # ⚓ Perl ☛ Perl_Weekly_Challenge_197:_Move_Zero_and
                        Wiggle_Sort⠀⇛


    * § Leftovers⠀➾


          o ⚓ Scheerpost ☛ Top_Scheer_Intelligence_Episodes_of_2022:_Michael
            Brenner,_Ellen_Brown,_Gabor_Maté_and_More⠀⇛


                 Recap the year with some of the most popular episodes of
                 “Scheer Intelligence.”


          o ⚓ Dan Langille ☛ slocum⠀⇛


                 This server was upgraded on Feb 2 2019. Only the storage
                 persisted. Everything else was upgraded.


          o ⚓ Neil Selwyn ☛ ‘Why_I_am_not_going_to_buy_a_computer’_(notes_on
            Wendell_Berry)⠀⇛


                 Berry’s criteria for deciding whether or not to adopt a
                 new tool or technology into his life resonate clearly
                 with current discussions around digital degrowth – not
                 least reframing digital technology consumption along
                 lines of ‘voluntary simplicity’, ‘conscious
                 minimalization’, ‘reparability’ and so on. To quote a
                 series of dot-points that Berry offers toward the end of
                 his essay in way of a conclusion: [...]


          o ⚓ Robert OCallahan ☛ Paparoa_Track⠀⇛


                 We have a tradition that every year I organise a group
                 tramping trip in the South Island in December, between
                 students finishing exams and Christmas. Typically we do
                 one “easy” tramp and one “hard” tramp, balancing
                 welcoming new trampers with pursuing tougher but more
                 rewarding challenges. This year the “easy” tramp was
                 Paparoa Track and the “hard” tramp was the Travers-Sabine
                 Circuit (which we previously did in 2019).


                 I completed all the official “Great Walks” some years
                 ago, but recently the Paparoa Track was created as a new
                 Great Walk, and this year seemed like a good time to re-
                 complete the set. We did it over three days (December 12-
                 14) which seemed about right; one could spend an extra
                 day and stay at Ces Clark hut, but that would make it a
                 bit too easy for my taste. So we started at the southern
                 end, Smoke-Ho car park, and walked north, staying at
                 Moonlight Tops Hut on the first night and Pororari Hut on
                 the second night. We hired three rental cars to get all
                 thirteen of us to the track start (staying the night
                 before at Greymouth Top 10 Holiday Park), and hired
                 Buller Adventures to move those cars to the track end
                 while we were walking. These logistics all worked out
                 well.


          o ⚓ Mark Dominus ☛ Minor_etymological_victory⠀⇛


                 Yes! Ultimately both words are from Persian naft, which
                 is the Old Persian word for petroleum. Then the Greeks
                 borrowed it as νάφθα (naphtha) and the Russians, via
                 Turkish. Petroleum is neft in many other languages, not
                 just the ones you would expect like Azeri, Dari, and
                 Turkmen., but also Finnish, French, Hebrew, and Japanese.


          o ⚓ Chris_Lamb:_Favourite_films_of_2022⠀⇛


                 In my four most recent posts, I went over the memoirs and
                 biographies, the non-fiction, the fiction and the
                 ‘classic’ fiction I enjoyed reading in 2022.


          o ⚓ Harshvardhan ☛ Moving_Next_from_Revue_to_Substack_|
            Harshvardhan⠀⇛


                 Twitter is shutting down Revue, the newsletter platform
                 that I use for Next. Thus, I’m migrating to Substack.


          o § Science⠀➾


                # ⚓ Salon ☛ For_the_first_time,_scientists_discover_organisms
                  whose_diets_rely_on_eating_viruses⠀⇛


                       However, new research in the journal Proceedings of
                       the National Academy of Sciences provides evidence
                       that not only are chloroviruses regularly eaten,
                       they are also nutritious, which has broad
                       implications for how we think about food chains and
                       the cycling of carbon earth. The paper was co-
                       authored by a plant pathology professor James Van
                       Etten, who first discovered chloroviruses in 1980.


                # ⚓ uni Yale ☛ What_on_Earth_is_a_polar_vortex?_And_what’s
                  global_warming_got_to_do_with_it?_»_Yale_Climate
                  Connections⠀⇛


                       An influx of Arctic air is blasting across the
                       U.S., sending temperatures plunging, dropping snow,
                       disrupting Christmas travel plans, and setting
                       social media atwitter about the polar vortex.


                       But what exactly is the polar vortex? Where does
                       the cold air come from? And is global warming
                       making cold snaps like this one more likely? Yale
                       Climate Connections meteorologist Bob Henson has
                       answers.


          o § Hardware⠀➾


                # ⚓ Ruben Schade ☛ Flickering_caused_by_a_hot_MOS_8565R2⠀⇛


                       I mentioned on Mastodon that while the chips in my
                       Commodore 128 barely break a sweat most of the
                       time, there are a few in the new Commodore 64C that
                       definitely do. The SID gets warm to the touch, and
                       the VIC-II gets hot; enough that it made me flinch.


                # ⚓ Hackaday ☛ In_Praise_Of_“Just_Because”_Hacks⠀⇛


                       Sometimes you pick a project because the world
                       needs it to be done. Or maybe you or a friend need
                       it. Or maybe you don’t really need it, but it
                       fulfills a longstanding dream. In my mind, the last
                       stop before you reach “why am I doing this” is the
                       “just because” hack.


                # ⚓ Hackaday ☛ Get_To_Know_Touch_With_This_Dev_Board⠀⇛


                       In the catalogue of the Chinese parts supplier LCSC
                       can be found many parts not available from American
                       or European suppliers, and thus anyone who wants to
                       evaluate them can find themselves at a
                       disadvantage. [Sleepy Pony Labs] had just such a
                       part catch their eye, the Sam&Wing AI08 8 channel
                       capacitive touch controller. How to evaluate a chip
                       with little information? Design a dev board, of
                       course!


                # ⚓ Hackaday ☛ Dirty_USB-C_Tricks:_One_Port_For_The_Price_Of
                  Two⠀⇛


                       [RichardG] has noticed a weird discrepancy – his
                       Ryzen mainboard ought to have had fourteen USB3
                       ports, but somehow, only exposed thirteen of them.
                       Unlike other mainboards in this lineup, it also
                       happens to have a USB-C port among these thirteen
                       ports. These two things wouldn’t be related in any
                       way, would they? Turns out, they are, and
                       [RichardG] shows us a dirty USB-C trick that
                       manufacturers pull on us for an unknown reason.


                # ⚓ Ruben Schade ☛ High_idle_power_on_AMD’s_RDNA3_cards⠀⇛


                       Seeing the higher than expected power consumption
                       on AMD’s new Radeon RX 9700 XT(X) cards has been
                       concerning.


                # ⚓ IEEE ☛ An_IBM_Quantum_Computer_Will_Soon_Pass_the_1,000-
                  Qubit_Mark_–_IEEE_Spectrum⠀⇛


                       IBM’S CONDOR, THE world’s first universal quantum
                       computer with more than 1,000 qubits, is set to
                       debut in 2023. The year is also expected to see IBM
                       launch Heron, the first of a new flock of modular
                       quantum processors that the company says may help
                       it produce quantum computers with more than 4,000
                       qubits by 2025.


                       While quantum computers can, in theory, quickly
                       find answers to problems that classical computers
                       would take eons to solve, today’s quantum hardware
                       is still short on qubits, limiting its usefulness.
                       Entanglement and other quantum states necessary for
                       quantum computation are infamously fragile, being
                       susceptible to heat and other disturbances, which
                       makes scaling up the number of qubits a huge
                       technical challenge.


          o § Health/Nutrition/Agriculture⠀➾


                # ⚓ NPR ☛ Biden_approves_banning_TikTok_from_federal_government
                  phones⠀⇛


                       Republicans and Democrats alike have long taken aim
                       at TikTok, since it is owned by Beijing-based tech
                       behemoth ByteDance. Lawmakers worry about the
                       Chinese Communist Party using the app to spy on
                       Americans, or using the app’s algorithm to amplify
                       pro-China narratives.


                       While the company denies it would ever be used for
                       nefarious purposes, national security experts say
                       China-based businesses usually have to give
                       unfettered access to the authoritarian regime if
                       information is ever sought.


                # ⚓ The Washington Times ☛ Like_tobacco,_social_media_is_a
                  danger_to_children⠀⇛


                       But any justice that comes to these families
                       through the civil courts will come too late. That’s
                       why prevention is key. We must recognize the harm
                       inherent in social media for minors — harm not
                       unlike that posed by cigarettes to youths revealed
                       in the U.S. surgeon general’s famous 1964 report on
                       the dangers of smoking. And we must protect our
                       nation’s children.


                       [...]


                       The data is in for social media as well. Self-harm
                       and suicide rates were steadily declining among
                       young people in the United States until 2008. As
                       social media use among minors has risen
                       dramatically, so have self-harm and suicide rates.


                # ⚓ VOA News ☛ Tradition_of_‘New_Year’s_Hike’_Reaches_All_50_US
                  States⠀⇛


                       A simple plan to get more people enjoying the
                       outdoors on New Year’s Day has become a nationwide
                       movement in the U.S. after a hike at a
                       Massachusetts park more than three decades ago.


                       Just 380 people participated in the initial First
                       Day Hike in 1992 at the nearly 2,830-hectare Blue
                       Hills Reservation just south of Boston. On Sunday,
                       tens of thousands of people are expected to take
                       part in First Day Hikes at hundreds of parks in all
                       50 states.


                # ⚓ [Older]_New_‘highly_infectious’_Omicron_strains_scare
                  China⠀⇛


                       On October 4, 2022, new Omicron sub-variants BF.7
                       and BA.5.1.7 were detected in Yantai and Shaoguan
                       cities in South China. The detection was amid the
                       latest Covid outbreak in the country. According to
                       reports by Global Times, It’s the first time the
                       BA.5.1.7 subvariant has been detected on the
                       Chinese mainland.


                # ⚓ WSWS ☛ Almost_a_million_excess_deaths_in_Britain_due_to
                  decades_of_social_inequality_–_World_Socialist_Web_Site⠀⇛


                       Several reports published in Britain over the last
                       few years attest to the fact that staggering levels
                       of social inequality, fuelled by austerity
                       policies, have claimed the lives of around a
                       million people.


                       Earlier this month a paper led by the University of
                       Glasgow and the Glasgow Centre for Population
                       Health (GCPH), found as a “a conservative estimate”
                       that there were 334,327 excess deaths beyond the
                       expected number in England, Wales and Scotland over
                       the eight-year period from 2012 and 2019. GCPH is a
                       partnership between NHS Greater Glasgow and Clyde,
                       Glasgow City Council and the University of Glasgow.


                # ⚓ Jeff Geerling ☛ Part_of_the_wrong_1%_—_Ostomy_surgery,_part
                  2⠀⇛


                       About 1 percent of Americans have diagnosed
                       Inflammatory Bowel Disease (IBD) like Crohn’s
                       Disease or Ulcerative Colitis. And about 1 in 500
                       Americans (0.2%) have ostomies—small openings
                       called stomas that help when their bowels get
                       really screwed up (whether through disease, cancer,
                       or trauma).


                # ⚓ TruthOut ☛ 16,000_New_York_City_Nurses_Are_Preparing_to
                  Strike⠀⇛


                # ⚓ Common Dreams ☛ 16,000_Nurses_Say_They_Are_Ready_to_Strike
                  Across_New_York_City⠀⇛


                       An estimated 16,000 unionized nurses from private
                       hospitals across the New York City metropolitan
                       area announced strike authorizations on Friday as
                       current contracts are set to expire and the region
                       continues to experience a “tridemic” health crisis
                       that includes Covid-19, flu, and the respiratory
                       illness known as RSV.


                # ⚓ TruthOut ☛ Learning_to_Self-Manage_Abortions_Is_Key_in_a
                  Post-“Roe”_Society⠀⇛


                # ⚓ EFF ☛ Reproductive_Justice_and_Digital_Rights:_2022_in
                  Review⠀⇛


                       That meant that when Dobbs v. Jackson overturned
                       the protections that Roe promised to people seeking
                       abortions and other reproductive healthcare, we
                       were prepared. We were prepared to answer questions
                       about what exactly your phone knows, Google knows,
                       and Facebook knows. And how that information could
                       be obtained. The sudden disappearance of federal
                       protections, combined with a growing number of
                       “bounty laws” targeting support for such care,
                       raises a host of concerns regarding data privacy
                       and online expression. And this expanded threat to
                       digital rights is especially dangerous for BIPOC,
                       lower-income, immigrant, LGBTQ+ people, and other
                       traditionally marginalized communities, and the
                       healthcare providers serving these communities.


                       The repeal of Roe created a lot of new dangers for
                       people seeking healthcare. This past year, EFF has
                       worked to protect your rights in two main areas: 1)
                       your data privacy and security and 2) your right to
                       free speech.


                       With law enforcement looking to punish those who
                       seek abortions, your digital paper trail is now
                       potentially incriminating evidence. Google maps
                       data can tell police if you searched for the
                       address of a clinic. Chat logs can show if you
                       talked about abortion with someone. A digital
                       dragnet can give police names of anyone in the
                       vicinity of a place suspected to offer abortion
                       services. These are just a few examples of things
                       law enforcement already does in other criminal
                       contexts and can now do with regard to reproductive
                       health. The good news is that EFF has a lot of
                       experience in fighting these fights. And so our
                       initial efforts focused on protecting the data
                       privacy and security of people seeking, providing,
                       and facilitating abortion access.


                # ⚓ Common Dreams ☛ African_Feminist_Movements_Face_More​
                  Obstacles_After_Roe_v_Wade_Decision⠀⇛


                       This year’s most notable decision affecting gender
                       justice—the overturning of federal protection of
                       the right to abortion in the US—happened more than
                       6,000 miles from Africa, but its impact was felt
                       here too.


          o § Linux Foundation⠀➾


                # ⚓ Video ☛ Overture_Maps_Project_|_Looking_to_Overthrow_Google
                  Maps_Dominance_–_Invidious [Ed: ‘Linux’_Foundation_as_front
                  group_for_Microsoft_et_al.]⠀⇛


                       In this video, I check out the newly created
                       project that the Linux Foundation started to
                       overthrow Google Maps’ dominance.


          o § Security⠀➾


                # § Privacy/Surveillance⠀➾


                      # ⚓ The Hill ☛ Google_to_pay_$29.5_million_to_settle_DC,
                        Indiana_lawsuits_over_location_tracking⠀⇛


                             Indiana Attorney General Todd Rokita (R) said
                             in a statement that the state reached a
                             settlement with Google for $20 million to
                             resolve its lawsuit over the company’s
                             “deceptive location-tracking practices.”


                      # ⚓ University of Toronto ☛ Going_from_a_Firefox
                        preference_to_the_underlying_configuration_setting⠀⇛


                             Suppose, not entirely hypothetically, that
                             you have a Firefox “Preferences” option and
                             you’d like to know for sure what about:config
                             setting corresponds to it. One way to do this
                             is to look it up in the Firefox source code,
                             which is probably most readily done online
                             through searchfox.org. This has to be done in
                             two steps because there’s a little bit of
                             indirection in the Firefox code base (due to
                             localization).


                      # ⚓ EFF ☛ Schools_and_EdTech_Need_to_Study_Up_On_Student
                        Privacy:_2022_in_Review⠀⇛


                             In an important decision by a federal judge,
                             a remote proctoring “room scan” by a public
                             university – Cleveland State University in
                             Ohio -  was deemed an unreasonable search
                             under the Fourth Amendment. “Room scans,”
                             where students are forced to use their
                             device’s camera to give a 360-degree view of
                             everything around the area in which they’re
                             taking a test, are one of the most invasive
                             aspects of remotely proctored exams. Often,
                             these scans are done in a personal residence,
                             and frequently a private space, like a
                             bedroom. 


                             The district court recognized that room scans
                             provide the government (public schools are
                             government entities) with a window into our
                             homes—a space that “lies at the core of the
                             Fourth Amendment’s protections” and long-
                             recognized by the Supreme Court as private.
                             There are few exceptions to this requirement,
                             and none of the justifications offered by the
                             university—including its interests in
                             deterring cheating and its assertion the
                             student may have been able to refuse the
                             scan—sufficed to outweigh the student’s
                             privacy interest  in this case. Though this
                             decision isn’t binding on other courts, any
                             student of a state school hoping to push back
                             against room scans in particular could now
                             cite it as persuasive precedent. The school
                             is expected to appeal to the Sixth Circuit. 


                             EFF began looking more closely at student
                             activity monitoring software, which is
                             basically indistinguishable from spyware, and
                             is used to filter, block, and flag vast
                             amounts of student activity on their school-
                             issued, and sometimes personal, devices. We
                             already know that the machine learning
                             algorithms in this software that filter,
                             flag, and block content routinely misclassify
                             any LGBTQ+ content as “Adult” content. We
                             know that Securly flags “Health” sites (like
                             WebMD) as “needs supervision,” andGoGuardian
                             blocks access to reproductive health
                             materials. It isn’t difficult to see the
                             harms that will occur as more anti-trans laws
                             pass and the legal right to abortion is
                             overturned: students who use their devices to
                             research topics such as trans healthcare or
                             abortion-related material could find those
                             devices weaponized against them, potentially
                             resulting in criminal charges. Moreover,
                             there are already examples of these apps
                             outing LGBTQ+ students.


                      # ⚓ Bryan Lunduke ☛ The_CIA_invests_in_these_Tech
                        companies_–_by_Bryan_Lunduke⠀⇛


                             Wouldn’t it be weird if the CIA invested in,
                             and influenced, Tech companies?


                             Spoiler: The CIA totally does that.


                             Through a puppet venture capital firm known
                             as “In-Q-Tel”, the CIA invests in a wide
                             range of Tech companies.


                             Video games. Search engines. SQL databases.
                             Even website load balancing. The CIA has
                             their hands in it all.


          o § Defence/Aggression⠀➾


                # ⚓ VOA News ☛ Kim_Jong_Un_Vows_to_‘Exponentially’_Increase
                  Nuclear_Warheads⠀⇛


                       Outside experts estimate that North Korea already
                       has enough fissile material to build about 50
                       nuclear weapons, as well as a growing number of
                       missiles that could be capable of carrying such
                       warheads.


                # ⚓ ABC ☛ NKorea’s_Kim_orders_‘exponential’_expansion_of_nuke
                  arsenal⠀⇛


                       Kim’s moves are in line with the broad direction of
                       his nuclear weapons development program as he has
                       repeatedly vowed to boost both the quality and
                       quantity of his arsenal. Some experts said Kim will
                       likely continue a provocative run of weapons tests
                       this year before he would ultimately try to use his
                       enlarged arsenal to wrest concessions like
                       sanctions relief in future dealings with his
                       rivals.


                # ⚓ Meduza ☛ What_happened_in_Russia_and_Ukraine_on_the_last
                  day_of_2022_and_the_first_hours_of_2023?_—_Meduza⠀⇛


                       Meduza offers a brief summary of December 31, 2022,
                       and the start of January 1, 2023.


                # ⚓ TruthOut ☛ Prison_Abolition_Has_to_Be_a_Priority_in_the
                  Fight_to_Overcome_Fascism.⠀⇛


                # ⚓ TruthOut ☛ European_Far_Right_Saw_Electoral_Wins_in_2022.
                  Reversing_Them_Will_Not_Be_Easy.⠀⇛


                # ⚓ New Scientist ☛ Russia_is_jamming_more_GPS_satellite
                  signals_around_Moscow_|_New_Scientist⠀⇛


                       Russia has stepped up satellite navigation jamming,
                       especially around Moscow, in an apparent attempt to
                       ward off any long-range strikes by Ukrainian
                       drones.


                       Russia is known for interfering with global
                       navigation satellite systems, in particular GPS,
                       which is operated by the US military and is
                       ubiquitous in smartphones, car satnavs and other
                       devices. Updates from the monitoring site GPSJam
                       show that Russian jamming activity has increased
                       sharply within Russia (see map, above).


                # ⚓ The Nation ☛ The_Rev._William_Barber_II_Delivers_a_Moral
                  Call_for_Peace⠀⇛


                       Isaiah 9:For unto us a child is born, to us a son
                       is given, and the government shall be upon his
                       shoulders. And he will be called Wonderful
                       Counselor, Mighty God, Everlasting Father, Prince
                       of Peace. Of the greatness of his government and
                       peace there will be no end.


                # ⚓ Common Dreams ☛ Urgent_Foreign_Policy_Steps_Biden_Should
                  Take_in_2023⠀⇛


                       It’s been an extraordinary year in foreign policy,
                       dominated by an ongoing, brutal war following the
                       February Russian invasion of Ukraine. NATO,
                       struggling with its mission before 2022,
                       appearsmore emboldened and unified than ever.


                # ⚓ Common Dreams ☛ What_the_US_Would_Look_Like_if_It_Operated
                  Like_Israel⠀⇛


                       What would the United States be like if it was like
                       Israel?


                # ⚓ Scheerpost ☛ What_Would_the_U.S._Be_Like_If_It_Was_Like
                  Israel?⠀⇛


                       Juan Cole imagines a United States that, like
                       Israel, is ruled by religious extremists and
                       neocolonial settlers.


                # ⚓ TruthOut ☛ UN_Votes_for_International_Court_of_Justice_to
                  Examine_Israeli_Occupation⠀⇛


                # ⚓ Common Dreams ☛ US,_Israel_Vote_No_as_UN_Approves_World
                  Court_Resolution_on_Illegal_Occupation⠀⇛


                       The General Assembly of the United Nations on
                       Friday approved a resolution that asks the
                       International Court of Justice to issue an opinion
                       on the legal consequences of Israel’s illegal
                       occupation of the Palestinian territories.


          o § Environment⠀➾


                # ⚓ CBC ☛ Electric_vehicle_sales_are_racing_ahead,_but_is_there
                  a_plan_for_the_waste_they_create?⠀⇛


                       Auto research firm J.D. Power estimates electric
                       vehicle batteries have a lifespan of ten to twenty
                       years — so electric vehicles have now been around
                       long enough in Canada that some batteries will need
                       to be replaced near the end of the decade.


                       Finding ways to recycle their costly, toxic
                       batteries could address the environmental questions
                       that arise from building electric vehicles in the
                       first place.


                # ⚓ TruthOut ☛ The_US_Saw_Some_of_Its_Worst_Climate_Disasters
                  in_2022⠀⇛


                # ⚓ uni Yale ☛ How_to_save_on_winter_home_heating_costs_»_Yale
                  Climate_Connections⠀⇛


                       During the chilly season, many people receive
                       pricey bills for propane, natural gas, and
                       electricity.


                       Winter’s snow and cold temperatures often arrive
                       alongside skyrocketing energy bills. Whether you
                       rent or own your home, there are many ways to save
                       money this winter — from increasing energy
                       efficiency to applying for financial assistance.


                       In addition, clean energy tax credits to help you
                       weatherize your home, purchase more efficient
                       appliances, buy a heat pump water heater, and more
                       go into effect in 2023.


                # ⚓ At_COP15,_Indigenous_leaders_warn_against_’biggest_land
                  grab_in_history’_|_Grist⠀⇛


                       Indigenous leaders from around the world are
                       calling for a bigger role in negotiations at the
                       United Nations’ Biodiversity Conference which
                       convenes today in Montreal. Known as COP15,
                       delegates from nearly 200 countries are expected to
                       finalize the Post-2020 Global Biodiversity
                       Framework, a set of international goals and
                       standards for conservation efforts over the next
                       decade.


                # § Energy/Transportation⠀➾


                      # ⚓ Kevin Norman ☛ How_the_Pixel_6_Pro_charges_–_In
                        Graphs⠀⇛


                             I was bored, and was curious to know what the
                             charging behaviour of my Pixel 6 Pro looked
                             like. I decided to use a Ugreen Nexode 100w
                             USB-C charging brick with a Macbook charging
                             cable as the power supply, and left my phone
                             in its case. I note this because I will in
                             the future perform this same test with the
                             phone artificially cooled to see how much of
                             a difference temperature makes to charging
                             rate. I picked the Ugreen Nexode PSU because
                             it has the widest support for quick charging
                             standards I’ve ever seen. It supports all
                             sorts of weirdo standards, and I highly
                             recommend owning one. It supports (and I am
                             sure this is not an exhaustive list): [...]


                      # ⚓ Michael West Media ☛ Fossocracy_Australia:_government
                        of_the_people,_by_the_fossil_fuel_companies_for_the
                        fossil_fuel_companies_–_Michael_West⠀⇛


                             Public subsidies for coal plants are merely
                             the icing on the cake of a triumphant year
                             for multinational fossil fuel corporations
                             operating in this country. Michael West and
                             Callum Foote report on Fossocracy Australia.


          o § Finance⠀➾


                # ⚓ Helsinki Times ☛ Brexit_damage_continues_to_mount⠀⇛


                       “The damages caused by Brexit just continue to
                       mount. In the two years since the end of the
                       transition period, we have seen no advantages to
                       leaving the European Union. The cost of living
                       crisis and recession are being felt more deeply in
                       the UK than anywhere else, with recent research
                       showing food bills in the UK are £210 higher in the
                       last two years due to Brexit. Households on the
                       lowest incomes are the hardest hit.


                       “The UK economy is fundamentally on the wrong path
                       and there is no real alternative on offer within
                       the current system. The Scottish Government is
                       committed to giving the people of Scotland a choice
                       about the future they want – a greener, wealthier
                       and fairer economy within the European Union, or a
                       sluggish, stagnating economy outside of the
                       European Union. We will continue to publish the
                       Building a New Scotland series of prospectus papers
                       to ensure people can make that informed choice.


                # ⚓ Common Dreams ☛ On_Tax_Avoidance,_Says_Bernie_Sanders,
                  ‘Trump_Is_Not_Alone’⠀⇛


                       Senator Bernie Sanders is not asking anyone to be
                       shocked that Donald J. Trump was very good at not
                       paying taxes, but he also wants people to know that
                       the disgraced former Republican president is far
                       from the only rich person or powerful corporation
                       who gets away with paying little or nothing each
                       year federal income tax.


                # ⚓ Michael West Media ☛ Top_40_tax_dodgers_2022!_–_Michael
                  West⠀⇛


                       It’s a post-Christmas feast. We are serving up the
                       Top 40 Tax Dodgers, the crème de la crème of
                       Australia’s biggest and meanest tax tricksters.


                # ⚓ A_Deficit_Spending_Scam_Destroyed_UK’s_Prime_Minister—Who’s
                  Next?_–_RDWolff⠀⇛


                       “Most of what passes as “the economic policy we
                       need now” is really pleading by a self-interested
                       employer class. Raising interest rates to fight
                       inflation is the big example these days. Among the
                       forms and fields of class struggle, debunking
                       economic policies’ claims of being class neutral is
                       an ongoing battle.”


                       With its disguises as “high finance” for the
                       mystified and “Keynesian fiscal policy” for those
                       “in the know,” deficit spending by the government
                       was quite a successful scam for a long while. When
                       the UK’s ex-prime minister opened her new
                       government in September, Liz Truss followed
                       tradition by trying to run the oft-used scam again.
                       But this time it did not work. Eventually, even
                       successful scams stop working. Its failure became
                       hers but also her party’s, the Conservatives.’
                       Neither of them understood the scam’s limits.
                       Perhaps its disguises had worked best on those who
                       repeated them most in thought and word.


                       [...]


                       The scam’s seamy side was massively
                       “underreported.” It was and still is a fact that UK
                       governments borrowed most of the money for deficit
                       spending from the UK corporations and the rich.
                       Once the government had cut taxes, the money saved
                       by those corporations and the rich could be and was
                       often lent to that government. The scam offered a
                       certain “no-brainer” opportunity to corporations
                       and the rich. Instead of making a one-time tax
                       payment to the government (like other taxpayers do)
                       corporations and the rich can instead lend that
                       money to the government. The government security
                       obtained in exchange provides repayment in full in
                       the future plus annual interest payments till then.


                       This scam has worked for many years across global
                       capitalism. After former UK Prime Minister Boris
                       Johnson lied his way out of office, Liz Truss
                       presumed she could and would run the scam again,
                       loudly and proudly, with the usual political
                       applause. All her predecessors had. But this turned
                       out to be the time and the place where the scam
                       would hit its limits. Ironically, the very
                       beneficiaries of the tax cuts Truss proposed for
                       the corporations and the rich were the “investors”
                       who balked. They took a good look at the UK
                       government’s financial conditions and decided not
                       to lend it more money without much higher interest
                       rates (and maybe not even then). Very quickly—as
                       these things often go—higher interest rates drove
                       down bond prices threatening UK pension plan
                       assets. Suddenly, the unraveling of the UK economy
                       could be glimpsed as could be its risks for global
                       capitalism. Leading the blind, President Joe Biden
                       said of Liz Truss that she had “made a ‘mistake.’”


                       The old scam’s Achilles’ heel: at some point,
                       corporations and the rich might see too much risk
                       in lending the government money they saved from
                       their cut taxes. The very repetition of the scam
                       over decades might accumulate levels of the UK’s
                       national debt plus conditions in global capitalism
                       that are rendered risky. Lending the UK still more
                       money suddenly made little sense as an investment;
                       other options were better.


                # ⚓ Common Dreams ☛ The_Southwest_Airlines_Meltdown:
                  Capitalism,_Climate_Change,_and_Christmas⠀⇛


                       Climate Change, Christmas and Capitalism
                       chaotically converged with an epic operational
                       failure at Southwest Airlines that stranded
                       thousands of holiday travelers and airline staff at
                       airports for days. Winter Storm Elliott slammed the
                       continental United States with snow, pelting winds
                       and freezing cold arctic air in what meteorologists
                       call a “bomb cyclone.” Air travel was
                       understandably impacted, but the scale of the
                       disruption at Southwest was many times greater than
                       other airlines, accounting for an estimated 90% of
                       the tens of thousands of canceled flights. Central
                       to this travel catastrophe are the deregulation of
                       the airline industry during the late 1970s, during
                       the Carter administration, and the decision by
                       Southwest executives to prioritize their investors
                       over customers and staff.


          o § AstroTurf/Lobbying/Politics⠀➾


                # ⚓ SlashGear ☛ New_York_Passes_Right_To_Repair_Bill,_However
                  Last_Minute_Changes_Make_It_Useless_For_Most_Consumers⠀⇛


                       New York has become the first state in the U.S. to
                       sign a right to repair bill into law. In theory the
                       bill, and others like it, puts the power back into
                       consumers’ hands. Instead of paying costly repair
                       fees or having to replace a broken device, people
                       can simply buy a replacement part and fix their own
                       tech. The European Union is looking to put right to
                       repair laws in place, and there is also a push to
                       get something enacted at a federal level in the
                       United States. On paper, New York has beaten
                       everyone to the punch. In reality, the state’s new
                       right to repair bill isn’t all that it seems — and
                       people aren’t happy.


                # ⚓ The Washington Times ☛ Suspicions_about_TikTok’s_link_to
                  the_Chinese_government_spread_across_party_lines⠀⇛


                       “It’s a genuine concern, I think, for the U.S.
                       government in the sense that because the parent
                       company of TikTok is a Chinese company, the Chinese
                       government is able to insist upon extracting the
                       private data of a lot of TikTok users in this
                       country and also to shape the content of what goes
                       on to TikTok, as well to suit the interests of the
                       Chinese leadership,” Mr. Burns told PBS.


                # ⚓ New York Times ☛ An_Architect_of_Biden’s_Antitrust_Push_Is
                  Leaving_the_White_House⠀⇛


                       Hannah Garden-Monheit, who was involved in the
                       antitrust executive order, will take over his
                       antitrust policy work. Elizabeth Kelly, who works
                       on digital asset policy for the National Economic
                       Council, will inherit his portfolio of technology
                       policy issues, the White House said. Bharat
                       Ramamurti, the deputy director of the National
                       Economic Council, will continue to oversee both
                       areas.


                # ⚓ Silicon Angle ☛ White_House_antitrust_adviser_Tim_Wu_to
                  depart_next_week⠀⇛


                       In 2003, Wu coined the phrase “net neutrality” to
                       describe a principle that has since become a major
                       focus for the telecommunications industry. The
                       principle states that internet providers should
                       treat the data traveling through their
                       infrastructure equally and not throttle or charge
                       more for certain types of traffic.


                # ⚓ Common Dreams ☛ ‘Why_Are_These_Conflicts_Allowed?’
                  Corporate_Giving_to_Group_Tied_to_Supreme_Court_Sparks
                  Concern⠀⇛


                       Both alarm and concern were expressed Saturday in
                       response to new reporting about a charitable group
                       with close ties to the U.S. Supreme Court that has
                       been soliciting and accepting donations from
                       corporate interests and far-right activists with
                       cases before the court.


                # § Misinformation/Disinformation/Propaganda⠀➾


                      # ⚓ RFERL ☛ ‘Propaganda_Is_Almost_Everywhere’:_Grassroots
                        Campaigners_Take_On_The_Kremlin_War_Machine⠀⇛


                             Dozens of independent, social-media-based
                             information projects have emerged after
                             pressure from the Russian government’s
                             crackdown, most of them run by journalists or
                             activists who fled the country under threat
                             of imprisonment. In interviews with RFE/RL,
                             they said they were motivated primarily by
                             their consciences and that their main mission
                             is to make sure Russians are not left alone
                             against the massive tide of pro-war state
                             propaganda.


          o § Censorship/Free Speech⠀➾


                # ⚓ RFA ☛ Tibetan_writer_held_by_China_for_‘discussing’_Dalai
                  Lama⠀⇛


                       A prominent Tibetan writer who disappeared last
                       year in Chinese custody was arrested for taking
                       part in politically sensitive discussions about
                       Tibet’s exiled spiritual leader the Dalai Lama,
                       Radio Free Asia has learned.


                       Rongwo Gangkar, author of such popular works as The
                       Knot and An Interview With Gendun Choephel, a
                       collaboration with other writers, was taken into
                       custody in western China’s Qinghai province more
                       than a year ago, a source living in the region
                       said.


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


                # ⚓ BBC ☛ Vivienne_Westwood:_Julian_Assange_to_ask_for_prison
                  leave_for_funeral,_says_wife⠀⇛


                       Wikileaks founder Julian Assange will request leave
                       from the high-security Belmarsh Prison to attend
                       Dame Vivienne Westwood’s funeral, his wife says.


          o § Civil Rights/Policing⠀➾


                # ⚓ Wired ☛ The_Work-From-Anywhere_War_Is_Beginning⠀⇛


                       This will not be an easy transition. For instance,
                       according to a report by workplace research firm
                       Leesman, office-based working has been most popular
                       with one group alone—senior leaders who had their
                       own offices (or private meeting spaces). As a
                       result, in 2023, veteran corporate managers will
                       likely use the economic downturn to do a final
                       attempt of dragging workers back to the office.
                       It’s implausible to imagine that these more
                       traditional managers might be rubbing their hands
                       at the prospect of a short economic slowdown ahead,
                       but using a softer job market as leverage to bring
                       employees back to the office could prove a popular
                       strategy. It might be too late; top talent has
                       already made its mind up. There could be conflict
                       ahead as it resolves itself.


                # ⚓ Common Dreams ☛ Canada’s_First_Nations_Are_Conserving_Land
                  on_an_Unprecedented_Scale⠀⇛


                       In yet another unusually warm subarctic day last
                       August, members of the Łı́ı́dlı̨ı̨ Kų́ę́ First
                       Nation in the Northwest Territories of Canada held
                       a fire-feeding ceremony, drummed, raised their
                       eagle-emblazoned flag, and prepared a celebratory
                       feast for themselves and a group of scientists 30
                       miles south of where they live in Fort Simpson.


                # ⚓ Common Dreams ☛ The_Year_2022_Displayed_the_Woeful
                  Shortcomings_of_Humankind⠀⇛


                       A year that started with Russia’s invasion of
                       Ukraine and is ending with famine in Africa, while
                       still spreading death and misery through an
                       enduring pandemic and a deteriorating climate
                       crisis — 2022 has been an apocalyptic warning of
                       the frailty of our planet and the woeful
                       shortcomings of humankind.Beyond the stark
                       statistics of millions of people displaced by war
                       and natural disasters, it has been a 12 months that
                       tragically highlighted our global interconnections
                       and how a confluence of events and trends can bring
                       another year of record levels of hunger.


                # ⚓ Common Dreams ☛ No_More_Dire_Warnings:_It’s_Time_to_Fight
                  to_Win⠀⇛


                       We need to put it clearly: 2022 was an unyielding
                       disaster. The effects of what happened this year
                       will echo for decades to centuries, but far from
                       there being any lessons learned from it, what the
                       managers of global capitalism are doing is trying
                       to make next year even worse.The most worrying
                       statistic of the year, the one that assures us that
                       what happened in 2022 is not fleeting, is the fact
                       that the record for global-scale greenhouse gas
                       emissions has been broken again. With a 1% increase
                       over 2021, the decrease in emissions that occurred
                       during the pandemic has already been surpassed. The
                       year’s increase was led by the burning of more
                       fossil fuels, particularly in the United States and
                       India.The volume of extreme events this year, both
                       meteorological and social, economic, and political,
                       means that most of them have simply been wiped from
                       our collective mind and consciousness, because we
                       effectively have no capacity to process what is
                       happening to us, and the institutions that run
                       global capitalism even less so. The cost of living
                       crisis, intrinsically linked with the gas on which
                       so much of the European economy depends, looks like
                       the crisis that will precipitate a new global
                       recession. That is the decision of governments and
                       central banks. These institutions have decided that
                       prices and inflation will be reduced by rising
                       interest rates, that is, by widespread defaults on
                       loans, evictions, bankruptcies, unemployment and
                       austerity.


                # ⚓ History_books_tell_us_about_just_a_few_who_fought_for
                  India’s_freedom:_P_Sainath⠀⇛


                       The purview of the freedom struggle from British
                       colonial rule in India is as vast as its geography
                       and culture. Many who were part of the freedom
                       struggle did not realise the crucial weight of
                       their ‘simple’ actions.


                       P Sainath’s The Last Heroes finds stories of the
                       country’s Independence struggle from forests,
                       villages, homemakers and farmers. His book tells
                       stories like that of of Bhavani Mahto, who were
                       left out of mainstream history books.


          o § Digital Restrictions (DRM)⠀➾


                # ⚓ Variety ☛ In_a_Horrible_2022_for_Streamers,_Netflix_Still
                  Victorious_—_for_Now⠀⇛


                       Of course, those hits weren’t enough to stop
                       Netflix from bleeding subscribers throughout the
                       first half of the year, and their long-term value
                       is debatable in terms of their potential to drive
                       future growth and financial return. “Stranger
                       Things 4” was one of the most expensive TV seasons
                       ever produced, at $30 million per episode, while
                       the rewards of “Dahmer” and “The Watcher” may not
                       balance out the costs of Netflix’s massive overall
                       deal with Murphy.


          o § Monopolies⠀➾


                # § Copyrights⠀➾


                      # ⚓ Torrent Freak ☛ TorrentFreak’s_Most-Read_News
                        Articles_of_2022⠀⇛


                             With 2022 nearing its end, we take a look at
                             the most-read news articles posted on
                             TorrentFreak this year. The Z-Library
                             crackdown dominated the headlines with
                             several articles. At the same time, prominent
                             Spider-Man and House of the Dragon leaks drew
                             a lot of eyeballs, while the ‘You Wouldn’t
                             Steal’ PSA was put in a new perspective.


    * § Gemini* and Gopher⠀➾


          o § Personal⠀➾


                # ⚓ deeply_personal_guide_of_being_lonely⠀⇛


                       If I’m good at nothing I can always relate to
                       people that are bad at something.


                # ⚓ Happy_New_Year⠀⇛


                # ⚓ New_year,_new_resolutions⠀⇛


                       As I’m writing this it’s officially the first hour
                       of 2023! I don’t have expectations of this year, I
                       just want to keep improving and reach a lifestyle I
                       can be satisfied with, whilst being more present
                       and more “me,” also a lot more of (applied!)
                       philosophy for sure.


                       At the moment, I’m reorganizing my digital life, so
                       you could say my resolution is to definitely be
                       more “out of date” with things, as to limit the
                       flow of information, to be slower, more present.
                       I’ve curated my RSS feeds and my bookmarks, I’ve
                       also bought an nice e-reader, using a 4:
                       3 resolution on my computer and switched to an old-
                       ish (un)smartphone with a custom ROM. I’ll get a
                       few words written about the topics I’ve mentioned
                       in the upcoming days. Even while not being present
                       on social media, being on the Internet is still
                       overwhelming for various reasons, which is why I
                       want to start using Gemini and Gopher again more
                       often, as I found myself using the Corporate Web
                       more than I would have liked.


                # ⚓ Happy_new_year!⠀⇛


                # ⚓ Resolution⠀⇛


                # ⚓ Looking_ahead_together⠀⇛


                       I can understand the rhetorical concern that
                       someone might think “what way forward do we as
                       leftists even see, if we wanna exclude millions of
                       wrong-hearted backwards-thinkers to this extent?
                       We’re not inviting them to dialogue, we’re not
                       listening to them, we’re breaking up friendships
                       with them. What’s gonna happen in the long term? Is
                       it us vs them until one side is dead?”


                       I don’t actually see people raising this point a
                       lot on the left; that might mean that people are
                       really short-sighted, close-horizoned on this, but
                       it might also mean that they’ve already figured
                       this out:


          o § Politics⠀➾


                # ⚓ “I_love_the_smell_of_black_powder_at_night”⠀⇛


                       I think I’m resigned to the fact that every January
                       1^st and July 4^th I have to suffer living in a war
                       zone. Unlike past years [1], Bunny and I decided to
                       head outside and at least enjoy the show. The most
                       impressive ones were at the other end of our
                       street—huge ones shot perhaps only a couple hundred
                       feet if that, in the air, with the embers nearly
                       hitting the nearby roofs still lit accompanied by
                       the loud thunderclap a second or two later.


                # ⚓ White_Supremacy⠀⇛


                       If you run into someone who’s missed the memo on
                       how the phrase “white supremacy” is increasingly
                       used, and I don’t mean anyone on here of course,
                       but if y’all have friends and fam who’s been out of
                       the loop on this, this Wikipedia page is a good
                       overview that you can send them…


          o § Technical⠀➾


                # ⚓ The_Year_of_Blogs_on_the_Desktop⠀⇛


                       And if your blog is already listed but another blog
                       you like is not, please encourage them to get in
                       touch. I don’t want to add people without their
                       consent…


                # ⚓ The_Slow,_Painful_Death_of_Embedded_PowerPC⠀⇛


                       It’s hard to believe how far PowerPC has fallen. In
                       2010, chips from a half dozen companies were
                       ubiquitous across the industry – servers, cars,
                       game consoles, networking, defense. By 2015,
                       embedded PPC was a pale ghost of itself, the
                       Power.org consortium was effectively dead, and IBM
                       was pinning the future of the platform on its
                       server-oriented OpenPower initiative.


                       [...]


                       C*Core, perhaps the most interesting, still
                       actively designs and sells parts based on the PPC
                       476 (which they call “C9000″) for a range of uses
                       in the PRC domestic market. At one point a pair of
                       new high-end cores, the C9100 and C10000, were
                       roadmapped and then canceled before shipping; my
                       strong suspicion is that the C9100 would have been
                       an enhanced PPC 476 with VMX added, and that the
                       C10000 would have been a member of IBM’s A2 family
                       (which saw use in Blue Gene/Q supercomputers and
                       possibly in the PowerEN network processor.)
                       Surprisingly enough, C*Core announced in early 2022
                       that a new and advanced PPC core, also named C10000
                       but probably unrelated to the canceled C10000
                       design, was in a late stage of development.


                # ⚓ Design_of_a_war_time_civilian_network⠀⇛


                       If you are watching news, you might see that
                       especially recently, Taiwan and China isn’t having
                       a great relation. And unfortunately I live in
                       Taiwan. I’m not going into the politics of it, but
                       I’m going to talk about my plains of keeping my
                       surroundings to have access to important
                       information. Thus more likely to survive in case a
                       war breaks out.


                       First, I’m assuming under war, the opponent won’t
                       be following the Geneva convention. It’s war crime
                       but it’s in the opponent’s best interests. Cutting
                       infrastructure access is devastating to civilians.
                       There’s nothing I can do for water and gas. But I
                       can do something for internet (not fully, we’ll
                       see) and power.


                # ⚓ “Stray”_is_a_great_game⠀⇛


                # ⚓ “Stray”_is_a_great_game⠀⇛


                       Last night I finished the game “Stray”, released
                       earlier this year by BlueTwelve Studio. I played it
                       on the PS4 but it is also available for the PS5 and
                       Windows. I really, really enjoyed it, more than I
                       can remember having enjoyed any other game I’ve
                       played in a long time (not that play an awful lot
                       of them).


                       As a *game*, it’s fairly lightweight. That sounds
                       like a criticism, but I genuinely don’t mean it as
                       one. I’m just trying to calibrate your
                       expectations. It took well under a week to
                       complete, okay, playing a little more often over
                       the holiday period than I would always find time to
                       while working, but by no means did I binge play the
                       thing. It’s just relatively short and relatively
                       simple. I never got stuck on any of the puzzle
                       elements for more than ten minutes and I never got
                       frustrated trying and failing for hours to get past
                       what felt like impossibly overpowered enemies.
                       Again, don’t take this the wrong way, “Stray” is
                       absolutely not a boring, stuck-on-rails interactive
                       fiction kind of game where you just run between
                       cutscenes. Far from it. I found it engaging and
                       enjoyable to play from start to finish. I just want
                       to make it clear to any hardcore gaming types that
                       if you want something “meaty” with complex strategy
                       that you will find a real challenge to complete, or
                       wildly non-linear, open world freedom that you can
                       explore for months on end, “Stray” is definitely
                       not that.


                # § Internet/Gemini⠀➾


                      # ⚓ Funkwhale⠀⇛


                             I just joined a new nook of the fediverse, a
                             funkwhale pod, with a few old tracks
                             previously only available on soundcloud. More
                             things to be added later.


                      # ⚓ Announcing_source.community⠀⇛


                             In my last gemlog entry[1] I talked about the
                             gemini server framework I created but hadn’t
                             yet made the code available. This wasn’t
                             because the code wasn’t ready to publish but
                             because I didn’t yet know where I wanted to
                             publish it.


                # § Programming⠀➾


                      # ⚓ Yet_More_Testing⠀⇛


                             Test::UnixCmdWrap, mostly written for testing
                             my unix scripts, tests below whether /bin/
                             echo when given “foo” returns something that
                             matches “foo”. (A better test might be qr/
                             ^foo$/ or that there is only a single line
                             that only contains “foo”–a bad echo could
                             emit “foofoo” or “foo\nfoo” and pass the
                             following test, but that’s not relevant
                             here.)


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



                    ䷩ 𝚕𝚒𝚗𝚎 6073

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 01.01.23⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


Gemini_version_available_♊︎


✐ Links_01/01/2023:_1,000th_Edition_of_DistroWatch_Weekly_and_Linux_6.2_RC2⠀✐


Posted in News_Roundup at 9:03 pm by Dr. Roy Schestowitz


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * GNU/Linux
          o Audiocasts/Shows
          o Kernel_Space
          o Applications
          o Instructionals/Technical
          o Games
          o Desktop_Environments/WMs
                # K_Desktop_Environment/KDE_SC/Qt
    * Distributions_and_Operating_Systems
          o Reviews
          o New_Releases
          o Debian_Family
          o Canonical/Ubuntu_Family
          o Open_Hardware/Modding
          o Mobile_Systems/Mobile_Applications
    * Free,_Libre,_and_Open_Source_Software
          o Web_Browsers/Web_Servers
    * Leftovers
          o Hardware
          o Health/Nutrition/Agriculture
          o Linux_Foundation
          o Security
          o Transparency/Investigative_Reporting
          o Environment
                # Energy/Transportation
          o AstroTurf/Lobbying/Politics
    * Gemini*_and_Gopher
          o Personal
          o Technical
                # Internet/Gemini
    * § GNU/Linux⠀➾


          o ⚓ 9to5Linux ☛ 9to5Linux_Weekly_Roundup:_January_1st,_2023_“Happy
            New_Year!”⠀⇛


                 As expected, this week was slow in Linux news and
                 releases due to the New Year festivities. Yet, we still
                 got new exciting releases of the HandBrake video
                 transcoder and IPFire hardened Linux firewall, as well as
                 new releases of the siduction and Calculate Linux
                 distributions.


                 On top of that, Linux hardware vendor Slimbook announced
                 a Limited Edition in black color of their Slimbook Kymera
                 Ventus Linux gaming PC and Ubuntu Unity devs teased us
                 with some of the upcoming features of the Unity 7.7
                 desktop environment. Below, you can enjoy these and much
                 more in 9to5Linux’s Linux weekly roundup for January 1st,
                 2023.


          o § Audiocasts/Shows⠀➾


                # ⚓ Video ☛ What’s_Egee’s_Linux_Desktop_in_2023?_–_Invidious⠀⇛


                       The start of a new year seems like a great time to
                       show you my Linux desktop and some of the tweaks I
                       make to it. It’s pretty much vanilla Debian Testing
                       with a very minimal KDE Plasma Desktop.


                # ⚓ Open Source Security (Audio Show) ☛ Episode_356_–_LastPass
                  ducked_up,_now_what?_–_Open_Source_Security⠀⇛


                       Josh and Kurt talk about the LastPass saga. There’s
                       a lot of great explanations about what happened,
                       but there hasn’t been a lot of info on how to start
                       cleaning up this mess. We rehash some of the
                       existing details then try to untangle what existing
                       users can do to try to start recovering. The real
                       problem is how LastPass is dealing with this, not
                       the technical details.


                # ⚓ Video ☛ Fade_In_pro_–_super_cool_screen_writing_software_–
                  Invidious⠀⇛


                # ⚓ Jupiter Broadcasting ☛ 2023_Spoilers_|_LINUX_Unplugged
                  491⠀⇛


                       We assemble to predict what will happen in 2023 and
                       score how our 2022 predictions turned out.


                # ⚓ Video ☛ 2023_Is_An_Exciting_Year_For_Desktop_Linux_–
                  Invidious⠀⇛


                       2022 was a good year for Linux but 2023 is turning
                       out to be an even more interesting year for the
                       linux desktop, with some massive improvements to
                       come that you should watch out for.


                # ⚓ Video ☛ Linux_Surpassed_Mac_for_Developers_–_Invidious⠀⇛


                       This week in Business News, did Bitcoin mining save
                       Texas during a cold snap? Also, Handbrake gets AV1
                       support, Meta and Alphabet are losing advertising
                       market share, and developers are switching to Linux
                       for their coding.


          o § Kernel Space⠀➾


                # ⚓ Linux mailing lists ☛ Linux_6.2-rc2⠀⇛


                       So the week started so slow due to the holidays
                       that I thought I might
                       not have any reason to do an rc2 at all, but by the
                       end of the week I
                       did end up getting a smattering of pull requests,
                       so here we are. It's
                       tiny, even smaller than usual for an rc2, and
                       honestly, I'd expect
                       that trend to continue for rc3. A lot of people are
                       still off for
                       another week on a well-deserved winter holiday, and
                       so I suspect
                       things will continue to be fairly quiet.

                       Anyway, last week saw mainly some nvme fixes, some
                       i915 drm work, and
                       some kvm fixes (and kvm testing fixes). See below
                       for the full
                       shortlog, and if you're not still in a food coma
                       from the holidays,
                       please do give this all a good testing.

                                      Linus
                # ⚓ LWN ☛ Kernel_prepatch_6.2-rc2⠀⇛


                       The second 6.2 kernel prepatch is out for testing —
                       but there isn’t a lot there.


          o § Applications⠀➾


                # ⚓ Ubuntu Handbook ☛ QQ_for_Linux_3.0_is_out!_Wine_no_longer
                  Required_for_this_Chinese_Chat_App_|_UbuntuHandbook⠀⇛


                       For Chinese users or those who have friends or
                       business in China, native QQ app is finally working
                       well in Linux by releasing the 3.0 version!


                       QQ is one of the top popular instant messaging apps
                       in China. It has an official Linux client since
                       2019, which was however old, crash often, and not
                       suitable for daily use.


                       By releasing 3.0, QQ for Linux finally got a modern
                       UI powered by its QQNT framework. Similar to the
                       Windows app, it has the user avatar and a few
                       navigation buttons in far left pane, friends and
                       group chats in center, and messages in right.


                # ⚓ Help Net Security ☛ OSV-Scanner:_A_free_vulnerability
                  scanner_for_open-source_software_–_Help_Net_Security⠀⇛


                       After releasing the Open Source Vulnerabilities
                       database (OSV.dev) in February, Google has launched
                       the OSV-Scanner, a free command line vulnerability
                       scanner that open source developers can use to
                       check for vulnerabilities in their projects’
                       dependencies.


                # ⚓ Linux Links ☛ Best_Free_and_Open_Source_Software_–_December
                  2022_Updates_–_LinuxLinks⠀⇛


                       Here are the latest updates to our compilation of
                       recommended software. It’s been a busy month in
                       December. We have published new group tests and
                       updated a few others.


                       We are planning a lot more this year to massively
                       ramp up coverage.


                       As always, we love receiving your suggestions for
                       new articles or additional open source software to
                       feature. Let us know in the comments box below or
                       drop us an email.


                # ⚓ Kubernetes Blog ☛ Kubernetes_v1.26:_Alpha_support_for
                  cross-namespace_storage_data_sources_|_Kubernetes⠀⇛


                       Kubernetes v1.26, released last month, introduced
                       an alpha feature that lets you specify a data
                       source for a PersistentVolumeClaim, even where the
                       source data belong to a different namespace. With
                       the new feature enabled, you specify a namespace in
                       the dataSourceRef field of a new
                       PersistentVolumeClaim. Once Kubernetes checks that
                       access is OK, the new PersistentVolume can populate
                       its data from the storage source specified in that
                       other namespace. Before Kubernetes v1.26, provided
                       your cluster had the AnyVolumeDataSource feature
                       enabled, you could already provision new volumes
                       from a data source in the same namespace. However,
                       that only worked for the data source in the same
                       namespace, therefore users couldn’t provision a
                       PersistentVolume with a claim in one namespace from
                       a data source in other namespace. To solve this
                       problem, Kubernetes v1.26 added a new alpha
                       namespace field to dataSourceRef field in
                       PersistentVolumeClaim the API.


                # ⚓ Ruben Schade ☛ Rubenerd:_Using_Blender_as_a_video_editor⠀⇛


                       Unbeknownst to me, Blender has a built-in video
                       sequence editor (VSE). This is cool, because
                       Blender is available on every major platform, is
                       open source, and is under active development.


                       Clicking Video Editor in the Blender splash screen
                       will take you to a timeline where you can do basic
                       video editing. It’s a bit different from other
                       packages I’ve used, but I’ve cut together and
                       exported a few things for work on it, and have been
                       pleasantly surprised.


          o § Instructionals/Technical⠀➾


                # ⚓ Linuxiac ☛ Installing_Google_Chrome_on_Manjaro:_A_Step-by-
                  Step_Guide⠀⇛


                       This step-by-step guide will show you how to easily
                       install the Google Chrome web browser on your
                       Manjaro Linux system.


                       Are you ready to upgrade your web browsing
                       experience on Manjaro? Google Chrome is a reliable,
                       user-friendly browser that offers a range of
                       features and security measures to enhance your
                       online experience.


                       Unfortunately, Manjaro, like most Linux
                       distributions, does not come with it preinstalled.
                       That is why you must follow the instructions below
                       to install Google Chrome on your Manjaro system.


                       So, whether you’re new to Manjaro or a seasoned
                       user, this guide will walk you through the
                       installation process so you can start using Google
                       Chrome in no time.


                # ⚓ TecAdmin ☛ How_to_Install_and_Use_Flask_on_Ubuntu_22.04_–
                  TecAdmin⠀⇛


                       Python Flask is a lightweight Python web framework
                       that makes it easy to build web applications
                       quickly. It’s a microframework that doesn’t include
                       an ORM (Object Relational Mapper) or such features
                       and is instead extensible through Flask plug-ins.


                       Flask is easy to get started with and doesn’t
                       require any particular directory structure. A Flask
                       application is a Python script that imports the
                       Flask module, creates an instance of the Flask
                       class, and then starts the development server using
                       a line of code.


                       In this article, we’ll show you how to install
                       Flask on Ubuntu 22.04. Also, create a simple Hello
                       World application using the Flask Python module.


                # ⚓ DebugPoint ☛ who_Command_in_Linux:_Explanation_with
                  Examples⠀⇛


                       Here’s a beginner’s guide on understanding who
                       command in Linux with several examples.


                # ⚓ Red Hat ☛ How_to_install_Red_Hat_Ansible_Automation
                  Platform_on_RHEL_9_|_Red_Hat_Developer⠀⇛


                       The Red Hat Ansible Automation Platform is a
                       comprehensive solution that helps you automate
                       collaboratively.


                # ⚓ Make Use Of ☛ The_6_Useful_Bash_Shell_Variables_You_Should
                  Know_About⠀⇛


                       Shell variables are important for the smooth
                       running of any Linux system. For example, every
                       time you run a program or command, your system
                       looks in the PATH variable to check if the program
                       is present. Knowledge of shell variables is
                       important for your daily use or administration of
                       Linux systems.


                # ⚓ Make Use Of ☛ How_to_List_Current_Logged-In_Users_on
                  Linux⠀⇛


                       Linux being a multi-user system allows multiple
                       users to log in and run various programs at the
                       same time. As a normal Linux user or system admin,
                       you may sometimes need to check which users are
                       currently logged into your system.


                       This information can be useful for various reasons
                       such as for troubleshooting performance issues,
                       monitoring user activity, or for simply checking
                       who else is using the system.


                       There are several methods to list current logged-in
                       users on Linux and see what they are doing.


                # ⚓ Video ☛ How_to_install_LeoCAD_on_KDE_Neon_–_Invidious⠀⇛


                       In this video, we are looking at how to install
                       LeoCAD on KDE Neon.


                # ⚓ Medium ☛ I_knew_it!_ChatGPT_has_Access_to_Internet_—_Linux
                  Terminal_Simulator_is_the_Proof?_|_by_Michael_King_|_Jan,
                  2023_|_Medium⠀⇛


                       Have you ever wished you could run Linux terminal
                       commands directly from within your ChatGPT GUI
                       interface? If you’re a fan of ChatGPT and also a
                       command line enthusiast, this article is for you!
                       We’re going to explore a new way to integrate the
                       power of the terminal into your ChatGPT experience.
                       It’s a game-changer for those who want the
                       convenience of a GUI with the flexibility of the
                       command line. Are you ready to dive in and see how
                       it’s done? Let’s get started!


                # ⚓ DebugPoint ☛ Install_XeroLinux_(Arch_with_Stunning_Looks):
                  Step-by-Step_Guide⠀⇛


                       For all the KDE Plasma and Arch Linux fans,
                       XeroLinux is probably the best distro to
                       experience. It’s loaded with goodies and brings a
                       customized KDE Plasma theme with the goodness of
                       Arch Linux.


                       This distribution is mainly for those who like eye-
                       candy desktops with the latest packages+KDE Plasma
                       but do not want to re-configure the Plasma desktop.
                       XeroLinux primarily uses a pre-configured Latte
                       dock with Kvantum to give the desktop a distinct
                       look.


                       This tutorial will walk you through installing
                       XeroLinux in a physical system as a standalone or
                       dual-boot.


          o § Games⠀➾


                # ⚓ Boiling Steam ☛ Best_Steam_Deck_Games_Released_in_the_Past
                  Week_–_2023-01-02_Edition_–_Boiling_Steam⠀⇛


                       Between 2022-12-26 and 2023-01-02 there were 28 new
                       games validated for the Steam Deck.


                # ⚓ Video ☛ Have_you_checked_out_your_Steam_Replay?_Here’s
                  mine!_–_Invidious⠀⇛


          o § Desktop Environments/WMs⠀➾


                # § K Desktop Environment/KDE SC/Qt⠀➾


                      # ⚓ New_digiKam_User_Documentation⠀⇛


                             A new year means new goals, and this one is a
                             challenge: migrating the old digiKam
                             documentation based on DocBook format to a
                             new architecture, more simple and easy to
                             maintain. After 20 years, we left the DocBook
                             version for the modern Sphinx/
                             ReStructuredText framework. This one is
                             really a pleasure to use by documentation
                             writers.


                             The content is published in a dedicated web
                             site, internationalized by the KDE
                             translation teams. An EPUB version is also
                             available for the off-line use cases.


    * § Distributions and Operating Systems⠀➾


          o § Reviews⠀➾


                # ⚓ Distro Watch ☛ Review:_Our_favourite_projects_of_all_time⠀⇛


                       Leading up to this week, and its 1,000th edition of
                       DistroWatch Weekly, we wanted to mark the occasion
                       by having our contributors talk about Linux
                       distributions which were special to them in some
                       way. It could be a favourite distribution, it could
                       be their first, or even one they don’t currently
                       use but which encapsulates something special.


                       I’ve been using Linux for over 20 years and writing
                       for DistroWatch for over 12. I have probably test
                       driven an average of two distributions per week
                       during my time with this publication, which means
                       I’ve used in the range of 1,200 versions of Linux
                       distributions for over a day. I’d also estimate
                       that, including brief first-look experiences, I’ve
                       probably run over 500 distinct Linux projects over
                       the past decade, between writing reviews,
                       evaluating projects on the waiting list, and
                       gathering information for the DistroWatch database.


                       Narrowing this collection of experiences enough to
                       focus on just one project that would stand out as
                       being special to me was going to be difficult.


                       I thought about revisiting my first Linux
                       distribution, a long since extinct, minimal flavour
                       of Slackware called Pygmy Linux. Armed with no
                       compiler, desktop, or package manager its claim to
                       fame was it could be run from a DOS/Windows
                       partition and fit on about five floppy disks. I was
                       looking for a free flavour of Unix I could run at
                       home (and download over a dial-up connection) with
                       minimal destruction to my existing system. Pygmy
                       Linux, with its extremely limited, bare bones
                       approach, proved to be a worthwhile learning tool
                       for someone trying to wrap his head around shell
                       scripting and Linux internals.


                       I could talk about my first full-time Linux distro,
                       the one which made me believe Linux could replace
                       Windows on my computer eventually: Phat Linux. Phat
                       was much larger than Pygmy, featured the KDE 2
                       desktop, and was based on Mandrake Linux. It, like
                       its parent, is long since gone, but it got me using
                       Linux as my primary desktop operating system.


          o § New Releases⠀➾


                # ⚓ OMG! Linux ☛ First_Version_of_Vanilla_OS_is_Available_to
                  Download_–_OMG!_Linux⠀⇛


                       The Linux distro scene just got A LOT more
                       interesting thanks to the first stable release of
                       Vanilla OS.


                       If you’re not familiar with Vanilla OS then
                       honestly, you’re not alone. It’s a relatively new
                       Linux distribution that has only been in
                       development for the past four months. Plus, outside
                       of a closed beta, it’s not been available for the
                       wider community to try.


                       [...]


                       Ubuntu-based Linux distros are ten a penny, but few
                       tend to diverge from their parent OS in any
                       interesting or unique ways. Not so with Vanilla OS.
                       Far more than “just another” Ubuntu fork, the
                       distro takes a novel new approach to computing
                       thanks to an immutable file system.


                       Vanilla OS doesn’t use apt. Instead, it uses its
                       own package manager and subsystem called apx. This
                       is described as “a wrapper around multiple package
                       managers to install packages and run commands
                       inside a managed container” and is inspired by
                       Distrobox.


          o § Debian Family⠀➾


                # ⚓ Jonathan_McDowell:_Free_Software_Activities_for_2022⠀⇛


                       There is a move to Bring Back Blogging and having
                       recently sorted out my own FreshRSS install I am
                       completely in favour of such a thing. RSS feeds
                       with complete posts, for preference, not just a
                       teaser intro sentence/paragraph.


                       It’s also a reminder to me that I should blog more,
                       and what better way to start 2023 than with my
                       traditional recap of my Free Software activities in
                       2022. For previous years see 2019, 2020 + 2021


                       [...]


                       Most of my contributions to Free software continue
                       to happen within Debian.


          o § Canonical/Ubuntu Family⠀➾


                # ⚓ OMG Ubuntu ☛ Ubuntu’s_Education-Focused_Flavour_is_Heading
                  Back_to_Class_–_OMG!_Ubuntu!⠀⇛


                       Edubuntu arrived on the scene in 2005 when it
                       debuted as part of the Ubuntu 5.10 “Breezy Badger”
                       series. The scholastic spin continued to issue new
                       releases up until Edubuntu 14.04 LTS which, due to
                       a lack of contributors, wound up being its final
                       release an official favour.


                       Fast forward to 2023 and the forgotten flavour is
                       feeling optimistic about its future.


                       During its original run Edubuntu was available
                       variously as a LiveCD, a LiveDVD, and as a series
                       of packages users could install atop a regular
                       Ubuntu release. Curating and shipping educational
                       software and tools was always the core focus, with
                       GNOME and Unity desktops driving the core UI during
                       its original tenure.


                       Ubuntu Studio’s Erich Eickmeyer and his wife Amy,
                       whose background is in education, are the ones
                       stepping up to reboot and revive this spin. They’ve
                       reams of ideas, plans, and goals under their
                       collective sleeves and seem well-placed to help
                       reposition this flavour for a new generation.


          o § Open Hardware/Modding⠀➾


                # ⚓ 5_Arduino_Uno_Alternatives_You_Might_Want_to_Try_–_IoT_Tech
                  Trends⠀⇛


                       Too expensive? Too lacking? There’s a lot to be
                       said with the official Arduino Uno design. If
                       you’re looking for something that gives more bang
                       for the buck, though, then here are five
                       alternatives using the famous Arduino Uno’s form
                       factor!


          o § Mobile Systems/Mobile Applications⠀➾


                # ⚓ The_5_Best_Linux_Smartphones_of_2023_–_Linux_on_the_Go_–
                  DekiSoft⠀⇛


                       Today our data is becoming vulnerable each day.
                       This is attributed to how some operating systems
                       are not giving enough attention to privacy or
                       malware, phishing, and viruses which with time are
                       becoming powerful.


                       We need to opt for OS which provides the most
                       privacy features and you know that all of the base,
                       backend, and source code is open source. This is
                       why we have recommended some of the best Linux
                       smartphones that you can choose.


    * § Free, Libre, and Open Source Software⠀➾


          o § Web Browsers/Web Servers⠀➾


                # ⚓ Daniel Aleksandersen ☛ I’ve_joined_Vivaldi_Technologies
                  [Ed: Mastodon is Free software, but Vivaldi is proprietary;
                  does Vivaldi hope that dabbling in Free software like this
                  would give people false perceptions?]⠀⇛


                       On November 1st, I joined familiar faces from my
                       days at Opera Software and new colleges at Vivaldi
                       Technologies. I joined as a Quality Assurance
                       Tester working on the Vivaldi web browser product
                       for mobile and desktop.


                       I didn’t expect to ever work for a social media
                       company. Two short weeks after I joined Vivaldi, it
                       jumped on the decentralized social networking craze
                       and launched a new Mastodon instance called Vivaldi
                       Social.


                # ⚓ CoryDoctorow ☛ What_the_fediverse_(does/n’t)_solve⠀⇛


                       No matter how benevolent a dictatorship is, it’s
                       still a dictatorship, and subject to the dictator’s
                       whims. We must demand that the owners and leaders
                       of tech platforms be fair and good – but we must
                       also be prepared for them to fail at this,
                       sometimes catastrophically.


                       That is, even if you trust Tim Cook to decide what
                       apps you are and aren’t allowed to install –
                       including whether you are allowed to install apps
                       that block Apple’s own extensive, nonconsensual,
                       continuous commercial surveillance of its customers
                       – you should also be prepared for Cook to get hit
                       by a bus and replaced by some alt-right
                       dingleberry.


                       What happens next is a matter of technology and
                       law. It’s a matter of whether you have to give up
                       your media and your apps and your data to escape
                       the no-longer-benevolent dictatorship. It depends
                       on whether the technology is designed to let you
                       move those things, and whether the law protects you
                       from tech companies, or whether it protects tech
                       companies from you, by criminalizing jailbreaking,
                       reverse engineering, scraping, etc.


    * § Leftovers⠀➾


          o ⚓ Matt Rickard ☛ Reflections_on_2022_Predictions⠀⇛


                 Last year I wrote about my predictions for what would
                 happen in 2022. A look back at what I was thinking:
                 First, a few meta-lessons learned, at the risk of
                 extrapolating from only a few data points:
                 Predictions, like goals, should be observable and
                 testable. It’s maybe better to treat it as a hypothesis.
                 For example, one of my “predictions” was “remote
                 development hits the mainstream.” While it has surely
                 grown in popularity, it’s unclear how you’d score
                 something like this: what does mainstream mean? It might
                 have been better to be more concrete in my thinking.
                 The best predictions were events where the pieces were
                 just starting to get into motion. It might just be a
                 simple fact of predicting fewer things in the causal
                 chain.
                 There’s an enormous recency bias in predictions – last
                 year, I found myself writing about events that had
                 recently happened. Most of these events were fleeting.
                 It’s easy to overlook things that continue to gain steam,
                 even after the initial buzz dies down.


          o ⚓ Nicholas Tietz-Sokolsky ☛ Reflecting_on_2022,_Looking_Ahead_to
            2023_|_nicholas@web⠀⇛


                 This is one of those cliched posts: Reflection on the
                 year that’s ending, and talking about goals and whatnot
                 for next year. They’re cliche, but they’re also useful.
                 The planning and reflecting process is a useful one, and
                 sharing openly means other people can come along and
                 learn with me.


          o ⚓ Geshan ☛ Review_of_2022:_Recap_of_blogging,_talks,_an_interview,
            and_other_things⠀⇛


                 The year 2022 was partially eclipsed by COVID-19 for me.


          o ⚓ CoryDoctorow ☛ An_end-of-year_retrospective⠀⇛


                 Every day, I revisit all the posts I’ve ever made, over
                 more than 20 years of blogging; I review posts from one
                 year, 5 years, 10 years, 15 years and 20 years ago,
                 revisiting my priors and regrounding myself in the arc of
                 stories I’ve followed for decades.


          o ⚓ Russ Allbery ☛ Eagle’s_Path:_2022_Book_Reading_in_Review_(2023-
            01-01)⠀⇛


                 In 2022, much to my surprise, I finished and reviewed 51
                 books, a substantial increase over last year and once
                 again the best year for reading since 2012. (I read 60
                 books that year, so it’s a hard mark to equal.) Reading
                 throughout the year was a bit uneven; I avoided the
                 summer slump this year, but still slowed down in early
                 spring and September. As always, the tail end of the year
                 was prime reading time.


          o ⚓ Year_End_Review_–_2022⠀⇛


                 This year has been a crazy rollercoaster ride. Very less
                 ups and a lot of downs, the year began with mourning the
                 loss of my father, and I am fortunate and grateful that
                 at least the year is ending on a positive note.


          o ⚓ Michael West Media ☛ Smoke_in_cargo_hold:_Qantas_jumbo_QF1_to
            London_forced_to_land_in_Azerbaijan⠀⇛


                 Qantas’ Sydney to London double decker jumbo QF1 flight
                 has been forced to land in Baku, capital of central Asian
                 nation Azerbaijan last night, after a smoke detector went
                 off in the cargo hold, reports Michael Sainsbury.


                 Qantas has scrambled to dispatch an A380 double decker
                 jumbo to Baku, where 385 passengers are stranded after
                 their flight from Singapore to London was forced into an
                 emergency landing.


                 The aircraft VH-OQD left Sydney today at 10.40am to fly
                 directly to Baku, after Qantas spent the night gaining
                 the requisite take off and landing permissions needed for
                 an international flight.


                 The pilot of Qantas flight QF verbally issued a mayday
                 and squawked the emergency 7700 code on his transponder
                 to alert all nearby aircraft and airports when it was
                 flying over the former Soviet state of Georgia. The
                 aircraft would have to land at the closest airport that
                 was capable of accommodating the largest commercial
                 aircraft in the world. That airport was at Baku, the
                 capital of Azerbaijan which required a u turn by the
                 flight crew.


          o ⚓ Ruben Schade ☛ Rubenerd:_Brand_loyalty_isn’t_always_irrational⠀⇛


                 Brands are owned by companies, and companies are run by
                 people. People have values, behaviour, and history.
                 You’re not being rational by discounting these; you’re
                 falling into the trap of ignoring the human factor.


                 [...]


                 Assuming your loyalty has been earned—as opposed to
                 blindly following a trend or crowd—I see no problem with
                 it. Because it’s also theirs to lose.


          o ⚓ Jon Udell ☛ My_belated_introduction_to_Super_Mario_Brothers⠀⇛


                 This seems unusual for someone like me. I have spent my
                 adult life deeply engrossed in computer-based activity,
                 and am often described to others, by friends and family,
                 as a “computer guy.” That makes me a geek and/or nerd by
                 definition. But I’ve never been comfortable with either
                 of those terms.


          o § Hardware⠀➾


                # ⚓ Dan Langille ☛ [Repeat]_slocum_–_Dan_Langille’s_Other
                  Diary⠀⇛


                       FYI, this server is named after Joshua Slocum, who
                       was the first person to sail single-handedly around
                       the world.


                # ⚓ Dan Langille ☛ knew⠀⇛


          o § Health/Nutrition/Agriculture⠀➾


                # ⚓ Ruben Schade ☛ Rubenerd:_Hanging_out_with_nice_people⠀⇛


                       Unfortunately, Covid lockdowns and remote work
                       reinforced these tendencies to such a degree that I
                       think it started to impact my mental health. Even
                       the most closeted of individuals need to spend time
                       with people they care about, and being in a small
                       group sharing in a hobby for a few hours is lovely.


          o § Linux Foundation⠀➾


                # ⚓ Linux_Foundation_launches_Overture_Maps_Foundation_–_The
                  Robot_Report [Ed: Just helping_Microsoft,_Facebook_instead]⠀⇛


                       The Linux Foundation announced it formed the
                       Overture Maps Foundation, a collaborative effort to
                       create interoperable open map data.


          o § Security⠀➾


                # ⚓ LinuxSecurity ☛ Linux_Malware:_The_Truth_About_This_Growing
                  Threat_[Updated]⠀⇛


                       If you’ve been keeping up with security news, you
                       may have noticed that it seems as if there have
                       been an increasing number of attacks on Linux in
                       recent years. The number of new Linux malware
                       variants reached a record high in the first half of
                       2022, as nearly 1.7 million samples were
                       discovered. This observation is somewhat
                       counterintuitive, as Linux is generally regarded as
                       a highly secure operating system.


                       So what exactly has been going on lately, and are
                       these attacks being blown out of proportion by the
                       media? Is Linux still a viable OS for security-
                       conscious users? LinuxSecurity.com aims to put the
                       recent attacks on Linux into context, provide some
                       background on Linux malware and shed some light on
                       these questions in this article.


                # ⚓ Make Use Of ☛ The_8_Best_Free_Cybersecurity_Tools_to_Keep
                  You_Safe_as_a_Remote_Worker⠀⇛


                       As a remote worker, it’s expedient that you’re
                       cautious of cybersecurity threats. You need to
                       monitor your Wi-Fi networks to ensure they are safe
                       enough to access sensitive data. This is because
                       the slightest vulnerability in your system can
                       expose you to cybercriminals. Thankfully, there are
                       cybersecurity tools to avert this.


                       These tools protect company data from theft and
                       come in different forms. While a few beef up your
                       security by warning you of possible attacks, others
                       directly protect you from cybercriminals. Here’s a
                       list of the best free cybersecurity tools to keep
                       you safe as a remote worker.


                # ⚓ Ruben Schade ☛ Rubenerd:_Another_smart_camera_leaking
                  information⠀⇛


                       As the tech guy among friends and family for years,
                       people are surprised by my militant (that’s
                       foreshadowing!) reluctance to buy smart, Internet-
                       connected home devices. I wish it were based on a
                       philosophical stance on privacy and sticking it to
                       the proverbial man who wants to track everything we
                       do to sell us rubbish… or heck, even for the
                       mundane reason that half the stuff never works
                       properly!


                       [...]


                       I bring this up again, because yet another smart
                       camera device manufacturer was caught out earlier
                       this month making claims about their tech that were
                       unsubstantiated, and doubled down when security
                       researches proved otherwise. This is completely
                       predictable if still frustrating. But in this case,
                       the company even falsely claimed their devices kept
                       video local, in an attempt to assuage concerns
                       about smart devices in the first place. This is
                       worse than false advertising, it’s fraud.


          o § Transparency/Investigative Reporting⠀➾


                # ⚓ Michael West Media ☛ Killing_chickens_to_show_monkeys:_why
                  it’s_vital_to_protect_whistleblowers,_not_persecute_them_–
                  Michael_West⠀⇛


                       Lawyer and Lendlease tax-fraud whistleblower
                       Anthony Watson writes on Australia’s whistleblower
                       laws and why reform is vital to protect those who
                       expose wrongdoing from having to choose between
                       their careers and silence.


                       Disclosing serious failings in the public interest
                       must not remain the preserve of those citizens who
                       are prepared to sacrifice their personal lives and
                       those of their relatives, as has happened too often
                       in the past. Sounding the alarm must become a
                       normal reflex of every responsible citizen who has
                       become aware of serious threats in the public
                       interest.


                       [...]


                       Bessie’s competence as a teacher was never in
                       question and had nothing to do with her dismissal.
                       Rather, her employers were distressed by Bessie’s
                       complaints, made to Principal Leach, her immediate
                       superior, about school practices she believed were
                       unlawful and which she felt were harming the
                       students. Bessie complained that the school
                       administration were reserving administrative
                       positions for white staff, and that black youths
                       were being fenced out of the more desirable jobs
                       given to their white peers.


                       Bessie took her case to court, arguing that her
                       communications were protected by the First
                       Amendment (Freedom of Speech).


                       Both the lower courts found the School’s decision
                       to terminate Bessie was motivated primarily by the
                       fact that Bessie had made the complaints. The
                       District Court found that the School’s motivation
                       “…was almost entirely a desire to rid themselves of
                       a vocal critic of the district’s policies and
                       practices which were capable of interpretation as
                       embodying racial discrimination.”


          o § Environment⠀➾


                # § Energy/Transportation⠀➾


                      # ⚓ Michael West Media ☛ Gas_reservation?_Threats_by_the
                        fossil_fuel_cartel_may_force_government’s_hand_–
                        Michael_West⠀⇛


                             The Albanese government’s gas caps are not
                             enough. Gas reservation for the East Coast of
                             Australia is likely as both industry and
                             electricity consumers are held to ransom by
                             high prices and gas cartel threats to
                             withhold supply. Analyst Bruce Robertson
                             reports.


                             Even before the government’s price cap
                             legislation passed through parliament last
                             week, the gas industry was vigorously
                             opposing it. Yet the $12 a gigajoule (GJ)
                             price cap now enacted in law ensures a bright
                             future for gas companies but continual
                             decline for Australia’s manufacturing
                             industries


                             The gas industry, however, has continued to
                             characterise the price cap as a calamity,
                             with Santos CEO Kevin Gallagher going as far
                             as to label it a “Soviet Style” response. Mr
                             Gallagher has now warned of gas rationing in
                             the domestic market or the breaking of
                             international contracts.


                      # ⚓ Ruben Schade ☛ Rubenerd:_The_encouraging_pushback
                        against_game_NFTs⠀⇛


                             Those people were misinformed, unqualified,
                             or had ulterior motives. There was enough
                             information about NFTs, web3, and other
                             psuedo-decentralised puffery that anyone in a
                             position of authority or responsibility
                             voicing any kind of interest should be
                             immediately dismissed. It’s the same people
                             who question vaccines in 2022, or think the
                             jury is still out on homeopathy.


                      # ⚓ Didier Stevens ☛ Powerstrip_With_Neon_Lamp_Switch_|
                        Didier_Stevens⠀⇛


                             These switches (certainly older models) often
                             use a neon lamp as light source.


                             I measured the electric energy consumption of
                             a powerstrip with switch on and neon lamp
                             burning (without anything plugged into the
                             powerstrip’s outlets).


          o § AstroTurf/Lobbying/Politics⠀➾


                # ⚓ Michael West Media ☛ The_Bali_Bonk_Ban_that_wasn’t_–_media
                  gets_it_wrong._Again.⠀⇛


                       Cancel your flights, lock your bedrooms. If you’re
                       off to Bali and you’re not married, forget having
                       sex, they’ll put you in gaol! So say Australian
                       mainstream media and the Government’s travel
                       advisory. Except they didn’t check the story,
                       Duncan Graham and Kim Wingerei report from
                       Indonesia.


                       Nothing quite like a bonk-ban to excite the
                       headline writers at Fairfax, News Limited, The
                       Guardian and the ABC. Even the Government’s own
                       Smarttravellers website got in on the act. Failing
                       to check their facts, all in the interest of a
                       saucy story or updated advice to sex-hungry
                       travellers.


                       The G20 in Bali last month was a splendid success –
                       and not just because world leaders talked to each
                       other proving differences can sometimes be
                       understood, if not always accepted.


                # ⚓ Michael West Media ☛ Duck,_Weave_and_Waffle:_Robodebt_Royal
                  Commission_grills_Scott_Morrison_–_Michael_West⠀⇛


                       Former Prime Minister Scott Morrison faced a long
                       stint in the witness box before the Robodebt Royal
                       Commission this week over his involvement in the
                       disastrous scheme and any pressure he exerted to
                       stop public servants coming forward with
                       appropriate legal advice. Callum Foote reports.


                       The Royal Commission was established to investigate
                       the Centrelink “Robodebt” scheme, an automated debt
                       recovery program that was established in 2015 and
                       ran until November 2019 when the Attorney-General
                       advised it was unlawful.


                       It is attributed to more than 2000 people taking
                       their own lives and resulted in a $1.8 billion
                       settlement to hundreds of thousands of victims who
                       were forced to pay illegitimate debts.


                       Morrison was compelled to appear at yesterday’s
                       commission hearing as he was the Social Services
                       Minister when the scheme first went live, then
                       subsequently Treasurer and Prime Minister
                       throughout the life of the scheme.


                # ⚓ Michael West Media ☛ Scomo_sold_the_farm_–_Michael_West⠀⇛


                       Scott Morrison approved tens of billions in foreign
                       takeover deals after secretly being appointed
                       Treasurer last year, compromising Australia’s
                       national interest.


    * § Gemini* and Gopher⠀➾


          o § Personal⠀➾


                # ⚓ Philosophy_–_Solarspinster_–_Reason’s_Edge⠀⇛


                       Deep winter has come to my Baba Yaga cabin. The
                       snows pile in rolling pillows, crystalline breasts
                       of milky white. As yet they are unmarked by animal
                       tracks. The smarter, or at least more prudent,
                       animals are abed. Now and again a jay or chickadee
                       peeps sadly from a branch, but they are rare
                       visitors. Only Raven keeps company with my days, a
                       few neighbouring pairs flying about in search of a
                       stray mouse. I’m glad of their company for many
                       reasons. The coyotes who had been howling downhill
                       have moved on, I think. I’ve not seen their tracks
                       this past 旬, nor heard their dusk light howls. So
                       the ravens fly overhead, once in a while to circle
                       above me to espy my doings. They must find me
                       inexplicable and a nuisance, for they often wind
                       their routes around mine airspace. Mad dogs and
                       Englishmen and me.


                # ⚓ How_to_illustrate_your_own_stuff⠀⇛


                       Not sure how you can find the software you are
                       going to like. Today I was trying to copy the style
                       of an artist that had drawn a few pictures for a
                       megadungeon of mine but everything about it was
                       hard. When I finally switched to a messy brush, the
                       process finally agreed with my brain again. So what
                       makes good for me software?


                # ⚓ 2021_status_and_2022_plan⠀⇛


                       I don’t usually write status update, even though I
                       like the idea, because I’m most of the time too
                       lazy to do so, but I thought it was a good way to
                       kick off this year with a first post.


                       I’m still unsure while writing this if I will
                       actually publish it on my blog or on my gemlog. I
                       guess I like the idea of using my blog only for
                       technical posts, so it might end up in my gemlog…


                # ⚓ Reflecting_on_the_past_year⠀⇛


                       A new year begins, and I will start by looking back
                       on the old one! One year ago I made a post about my
                       plans for 2022 [1]. Let’s see how that went.


                # ⚓ Entering_2023⠀⇛


                       The clock keeps ticking and calendars have again
                       rolled back to January 1st. Here are some tidings
                       for the New Year.


          o § Technical⠀➾


                # ⚓ What_I_don’t_Know_2022⠀⇛


                       Constructing the Foundation was the name of my
                       theme in 2022. A markdown file summarizing it can
                       be found on my codeberg¹. In short, I wanted to
                       focus on building positive aspects of myself rather
                       than criticizing parts of myself I don’t like. I
                       would overall call this year a success with my
                       theme, but I don’t have another complete theme year
                       to compare it to.


                       That in general was an important goal for me, I was
                       able to maintain my journaling, theme, and general
                       mental health for the whole year. I haven’t made
                       progress in all the areas I wanted, but I haven’t
                       gone backwards anywhere, and I want to congratulate
                       myself for that.


                # ⚓ so_long,_lelkins_html_page._you_were_good._maybe_the_best
                  website_of_all_time.⠀⇛


                       ay mates, i’m back yet again! happy VERY LATE new
                       year! i gotta try to be more comfortable with
                       writing stuff, so expect more posts this time. no,
                       not like 2022-07-11. there’s gonna be some stuff
                       going on here, i’m sure of it.


                       i used to have an html page that hosted my drawings
                       and stuff, wanted to have my gemini posts be turned
                       into html pages (especially the megaman 8bit
                       deathmatch one) but i just didn’t do that. today i
                       deleted that side of the lelkins page of altesq in
                       favor for my gem capsule you are reading all of
                       this from, as it’s a better place for my stuff. i
                       also remade the capsule and added the art from the
                       www page. this is my home now, my castle, my
                       whatever you’d like to call this gemini capsule.


                # ⚓ Living_without_a_clock⠀⇛


                       I’m a person who used to have lots of clocks,
                       everywhere. Around the house, a watch, on my status
                       bar, on my (un)smartphone, on my IRC client. Time
                       was omnipresent. Not anymore. I’ve since removed
                       all the clocks, everywhere. If I want to check the
                       time, I do it manually via the $date utility, no
                       more compulsive, unconscious, checking the time.
                       This post will focus on how is it so far, I’ll
                       probably do multiple updates. There will be a
                       technical follow-up post on how I removed the
                       clocks.


                # § Internet/Gemini⠀➾


                      # ⚓ 2022_review⠀⇛


                             To everyone reading this (and even to those
                             that do not), I wish you all a happy new year
                             2023! I won’t talk about expectations or
                             resolutions here, because we all know here
                             that if you want to set a goal for yourself,
                             do it whenever you want, and not when the
                             calendar tells you to :).


                             Last year I published my first “year review”
                             on gemini[1] (and not on my blog) and I
                             thought I would do the same this year :). Not
                             many things to talk about, as this year has
                             been very busy with “day job” so finding time
                             to write is not always easy. Or maybe it is
                             just my brain not trained well enough to
                             force myself to write instead of doing more
                             passive things sometimes. Anyway, here a
                             short review of 2022 and some plan for 2023.


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


╘══════════════════════════════════════════════════════════════════════════════╛
                       ¶ Lines in total: 7416
    ➮ Generation completed at 02:43, i.e. 98 seconds to (re)generate ⟲