𝕿𝖊𝖈𝖍𝖗𝖎𝖌𝖍𝖙𝖘 Bulletin for Tuesday, November 05, 2024
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Generated Wed 6 Nov 02:49:15 GMT 2024
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/2024/11/05/


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

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


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

⦿ Techrights  -  Against Outsourcing of Sites and E-mail

⦿ Techrights  -  An LLM Inside a 'Search' Engine Means That Companies Tell You What They Want, Not What Web Pages to Visit

⦿ Techrights  -  Birthday Tomorrow

⦿ Techrights  -  Computers Getting Worse (for the User) Over Time

⦿ Techrights  -  Disinformation About Election Outcomes Even Before Any Election Outcomes (or Election/Voting!)

⦿ Techrights  -  Drew DeVault: People Talking About My Attack Site (Against the Founder of GNU/Linux) is "Spam"

⦿ Techrights  -  Google's Debt Has Increased and 'Cash on Hand' Fell by 22.27% This Past Year

⦿ Techrights  -  Halloween, All Saints Day & Swiss citizenship

⦿ Techrights  -  How Voting Does Not Work

⦿ Techrights  -  IRC Proceedings: Monday, November 04, 2024

⦿ Techrights  -  [Meme] How NOT to Vote

⦿ Techrights  -  [Meme] Sweaty Under the Belly

⦿ Techrights  -  [Meme] The 2024 'Info Bros'

⦿ Techrights  -  Microsoft Bribing Canonical (to Stop Competing) and Bribing Users to Shun the Competition

⦿ Techrights  -  "Oppose the Fascist"

⦿ Techrights  -  Over at Tux Machines...

⦿ Techrights  -  Techrights Has a Long History of Fighting to Expose 'Team Mono' or Microsofters Inside GNOME

⦿ Techrights  -  The Internet is Failing to Protect Democratic Processes and Human Knowledge

⦿ Techrights  -  There's a Reason Why Techrights is Turning 18 and Tux Machines Will Turn 20.5 Next Month

 ䷼ Bulletin articles (as HTML) to comment on (requires login):
https://techrights.org/n/2024/11/05/Against_Outsourcing_of_Sites_and_E_mail.shtml
https://techrights.org/n/2024/11/05/An_LLM_Inside_a_Search_Engine_Means_That_Companies_Tell_You_Wha.shtml
https://techrights.org/n/2024/11/05/Birthday_Tomorrow.shtml
https://techrights.org/n/2024/11/05/Computers_Getting_Worse_for_the_User_Over_Time.shtml
https://techrights.org/n/2024/11/05/Disinformation_About_Election_Outcomes_Even_Before_Any_Election.shtml
https://techrights.org/n/2024/11/05/Drew_DeVault_People_Talking_About_My_Attack_Site_Against_the_Fo.shtml
https://techrights.org/n/2024/11/05/Google_s_Debt_Has_Increased_and_Cash_on_Hand_Fell_by_22_27_This.shtml
https://techrights.org/n/2024/11/05/Halloween_All_Saints_Day_Swiss_citizenship.shtml
https://techrights.org/n/2024/11/05/How_Voting_Does_Not_Work.shtml
https://techrights.org/n/2024/11/05/IRC_Proceedings_Monday_November_04_2024.shtml
https://techrights.org/n/2024/11/05/Meme_How_NOT_to_Vote.shtml
https://techrights.org/n/2024/11/05/Meme_Sweaty_Under_the_Belly.shtml
https://techrights.org/n/2024/11/05/Meme_The_2024_Info_Bros.shtml
https://techrights.org/n/2024/11/05/Microsoft_Bribing_Canonical_to_Stop_Competing_and_Bribing_Users.shtml
https://techrights.org/n/2024/11/05/Oppose_the_Fascist.shtml
https://techrights.org/n/2024/11/05/Over_at_Tux_Machines.shtml
https://techrights.org/n/2024/11/05/Techrights_Has_a_Long_History_of_Fighting_to_Expose_Team_Mono_o.shtml
https://techrights.org/n/2024/11/05/The_Internet_is_Failing_to_Protect_Democratic_Processes_and_Hum.shtml
https://techrights.org/n/2024/11/05/There_s_a_Reason_Why_Techrights_is_Turning_18_and_Tux_Machines_.shtml

 ䷞ Followed by Daily Links (assorted news picks curated and categorised):
https://techrights.org/n/2024/11/05/Gemini_Links_05_11_2024_App_Needed_for_Parking_NNCP_Gomphotheri.shtml
https://techrights.org/n/2024/11/05/Gemini_Links_05_11_2024_Halloween_Over_Intention_and_Implementa.shtml
https://techrights.org/n/2024/11/05/Links_05_11_2024_Bluesky_and_Enshittification_Pugad_Baboy_and_L.shtml
https://techrights.org/n/2024/11/05/Links_05_11_2024_Criminal_Referrals_Regarding_Patent_Trolls_and.shtml

                    ䷩ 𝚕𝚒𝚗𝚎 104

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/11/05/Against_Outsourcing_of_Sites_and_E_mail.shtml
    Gemini version at https://techrights.org/n/2024/11/05/Against_Outsourcing_of_Sites_and_E_mail.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Against Outsourcing of Sites and E-
mail⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Nov 05, 2024,
updated Nov 05, 2024


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


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


4 days from now my_blog_turns_20. It predates the time WordPress was easy to
install. A week ago I had the chance to speak with the head of catalyst2 - the
webhost I moved to more than 20 years ago and have stayed with since then
(that's where my blog started, too). He thanked me for the kind words. He and
his colleagues dealt with my Web sites and my E-mail (later my wife's E-mail
too) for more than 2 decades. They're awesome (I'm not paid to write this!).


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇catalyst2⦈_


I've long been told that running your own E-mail server is hard and getting
harder over time (for reasons beyond the scope of this post, but there is
certainly consolidation and concentration of power going on). I never tried,
except on the Web servers where some software is meant to relay E-mail to the
administrator (though that's quite different because E-mail is mostly outwards
with such setups). My wife keeps telling me about companies and people who
refuse to accept that her surname is in her E-mail suffix (the misogynistic
serial_harasser_refuses_to_even_accept_the_surname_she_has_had_for_nearly_12
years) and instead demand that the E-mail should be with Microsoft (Hotmail/
Outlook), Apple (some "i" clown), or Google (GMail). They would not even accept
GMX addresses (GMX.co.uk is apparently less British than GAFAM!).


Self-hosting, which is a subset of self-determination, ought to be the norm,
not some edgy edge-case. That does not mean that people should host everything
from their home and start their own personal ISP (for neutrality at the Net
layer, too). One good start would be for everyone to register a domain and use
that for blogging, E-mail etc. I did this a very long time ago and now my E-
mail domain has about 20 addresses (created for different purposes; it is a
sorting mechanism, sort of like a pigeonhole).


Looking back at 20 years of blogging, and doing so in my own domain, I can say
I enjoyed many freedoms. Unlike Social Control Media (where accounts are lost
forever when sites shut down, e.g. Identi.ca, Digg.com, pleroma.site,
mastodon.technology, gnusocial.de, joindiaspora.com*), everything I ever wrote
stays intact and accessible in the same addresses... as 20 years ago.


Social Control Media is volatile garbage. Like smoking, "DO NOT EVEN START!"


If you can stop now, then stop now. At least try.


Software Freedom is great, but it is not enough if you let someone else do it
'for you'. Their interest in your personal freedom, when it boils down to
simple economics, is lessened every year because they move on in their lives
and have more urgent needs/priorities than keeping old things online (just for
preservation's sake). Groklaw let ibiblio manage the site and we know how that
ended_up. The site is still accessible at http://groklawstatic.ibiblio.org/,
but https://www.groklaw.net is essentially dead. All links to Groklaw are
therefore, in effect, dead links. █


_______


* Over a million things I wrote in those sites are lost for eternity.




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⣿⣿⣿⣿⣿⣿⣷⣮⣑⠢⠌⣂⠄⣷⠕⠩⡻⢷⣶⣭⣿⣿⣷⣦⡀⠁⠒⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣶⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠤⠀⠉⢱⠧⢈⠀⠑⢻⣻⣿⡿⠿⠿⠟⢷⡂⢤⣀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⡀⠐⠀⡇⣿⠟⣿⢏⣡⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣂⢀⠤⠀⠑⢄⠀⠈⠉⠒⠤⡑⠀⠍⣋⠲⣌⠑⠐⢹⣿⣷⣿⣷⣿⣿⣿⣷⡼⣷⣦⣎⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡱⡠⠂⣠⣄⣀⡐⠀⠀⠈⠈⠁⠂⠠⠌⠻⠿⠿⠿⠿⠟⠁⢀⣴⣯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⡀⣉⠛⠛⠷⠦⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣬⡙⠻⢷⣶⣶⣦⣤⣤⣤⣄⣀⣀⡀⠀⢀⣀⣠⣠⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣬⣍⣙⣛⣛⣛⣋⣉⣥⣤⣴⣿⣿⣿⣿⣷⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⣤⠥⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀
⡇⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⠟⠻⠛⠿⠿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣽⣝⣯⣟⣻⣻⣛⣻⣉⣿⣻⣋⣛⣙⣯⣟⣯⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⠿⠿⠿⢿⢿⠿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣧⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⢨⠬⣥⣬⣥⡥⢬⣤⣬⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭
⣿⣏⣭⣭⡥⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢸⢲⠶⠶⡾⡷⡷⠴⠷⠶⣷⡷⣢⣾⣻⡟⡿⢿⠿⠻⠿⢿⣿⠟⡟⣟⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡗⠶⠲⠔⠖⢺⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣷⣿⣾⣿⣿⣷⣿⣿⣾⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡏⣛⣉⣙⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣴⣩⣯⣭⣽⣭⣿⣅⣟⣽⣍⣨⣿⣭⣽⣽⣭⣿⣯⣽⣇⣙⣟⣟⣭⣯⣩⣝⣯⣿⣽⣍⣯⣭⣹⣸⣉⣙⣏⣾⣭⣽⣍⣯⣽⣯⣭⣏⣿⣩⣇⣫⣽⣝⣯⣝⣟⣏⣭⣝⣏⣭
⣿⡇⡭⣭⣭⣭⣭⣥⣭⣭⣿⣿⣿⣿⣿⢸⢻⠟⣟⢻⠿⡟⢻⡻⠿⢿⠟⡟⠟⡿⣟⠛⠿⠿⣻⣻⠛⠟⠻⢿⠛⠛⠟⢿⠛⠟⠛⡟⢻⠟⡟⡿⠛⡟⡟⢻⠛⡟⠛⠟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡷⠲⡖⠶⠰⠻⠟⠻⠿⢿⣿⣿⣿⣿⢸⡿⢿⣿⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣇⣛⣋⣛⣙⣉⣿⣿⣿⣿⣿⣿⣿⣿⢸⣶⣷⣶⣷⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣟⣿⣿⢿⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⢸⣉⣝⣛⣟⣻⣋⣯⣏⣝⣻⣻⣛⣟⣻⣟⣻⣙⣿⣟⣿⣛⣏⣻⣛⣝⣛⣛⣹⣻⣿⣿⡟⣻⣛⣯⢻⣟⣛⣟⣿⣛⣻⣏⣛⣹⣿⣛⣿⣟⣻⣙⣿⣛⣿⣩⣛⣟⣛⣛⣟⣛⣹
⣿⣯⣿⣿⣻⣿⣻⣿⣿⣻⣿⣿⣟⣿⣿⢸⣥⣭⣯⣽⣥⣭⣭⣿⣭⣣⣽⣯⣽⣬⣿⣽⣧⣯⣭⣭⣟⣯⣭⣿⣭⣿⣯⣭⣬⣍⣯⣭⣽⣩⣬⣯⣹⣯⣭⣯⣍⣧⣭⣭⣯⣽⣭⣭⣭⣭⣿⣽⣯⣼⣽⣯⣯⣽⣿⣽⣬⣭
⣿⡷⣿⣷⣿⣯⣼⣭⣯⣽⣯⣿⣿⣿⣿⢸⠛⠛⠛⡿⠟⢻⡟⠟⢟⠻⣿⠻⢻⢻⠛⢛⡟⡟⡟⠛⡟⣟⣛⣿⡿⢟⠛⠟⡟⡿⢻⠛⢛⢻⣿⠛⢻⡻⠛⢿⠿⡛⢻⠛⡟⠛⡟⡟⠻⢻⠿⠛⡟⢻⢛⣟⣟⡟⠛⡟⣻⠛
⣿⣿⡗⠟⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⢸⣉⣙⣉⣏⣙⣭⣹⣋⣉⣏⣹⣹⣉⣏⣉⣉⣟⣉⣿⣛⣏⣹⣍⣙⣩⣹⣙⣏⣹⣹⣉⣋⣏⣽⣹⣉⣹⣏⣉⣛⣉⣻⣉⣏⣹⣯⣏⣟⣉⣏⣹⣉⣏⣭⣏⣉⣙⣹⣉⣏⣹⣹
⣿⣿⣟⣛⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⢛⠿⣿⠿⡿⣿⠿⣟⢿⠿⠻⡟⡟⠿⡿⢿⠿⡿⢻⢻⠿⢿⢿⣻⣿⠿⣿⢿⢿⡿⣿⡿⣟⢿⠿⠿⢿⠿⣿⡿⣿⢻⢿⣿⡿⣻⡿⣿⣿⠿⡿⢿⣿⡿⠿⢿⠿⠿⣿⢿⠟⡿
⣿⣿⣯⣥⣿⣯⣿⣯⣽⣯⣿⣿⣿⣿⣿⢸⣿⣻⣟⣋⣻⡻⣟⣻⣾⣛⣻⣛⣛⣛⣶⣟⣿⣿⣛⣟⣟⣻⣻⣟⣟⣟⣻⣻⣿⣛⢟⣻⣏⣟⣺⢺⣛⣛⣿⣛⣛⡟⣻⣟⣟⣿⣛⣛⣻⣛⣋⣟⣸⢿⣟⣾⣞⣓⣙⣿⣻⣟
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢿⣿⣿⠏⢁⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠁⢰⣿⣿⣿⣷⣿⣾⣿⣿⣿⣿⣿⢿⣿⣆⣐⣠
⣿⣿⠿⠛⠋⠉⠉⠉⠛⣿⠟⠋⠉⠉⠉⠉⠛⢿⣿⠋⠃⠀⠀⠉⠉⠙⣿⠟⠋⠉⠉⠉⠙⠻⣿⣿⣿⠀⠀⢘⠉⠙⢿⣿⣿⣿⣿⡿⠋⠋⣻⠟⠋⠉⠉⠉⠛⡟⠉⠁⠀⠈⠋⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣾⣾⣿⣿⣿
⡿⠁⠀⣠⣴⣶⣶⣶⣴⣿⣧⣶⣾⣿⣷⣆⠀⠈⣿⣶⡆⠀⠀⣶⣶⣶⣿⣦⣶⣾⣿⣷⡄⠀⠘⣿⣿⠀⠀⢸⡄⠀⠘⣿⣿⣿⣿⠃⠀⢰⡏⠀⢠⣶⣿⣶⣶⣿⣶⡆⠀⢰⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠁⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠛⠛⠀⠀⢸⣿⡇⠀⠀⣿⣿⣿⣿⣿⡿⠿⠛⠛⠛⠀⠀⣿⣿⠀⠀⢸⣿⡀⠀⠹⣿⣿⡟⠀⢀⣿⣇⠀⠈⠛⠿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿
⠀⠀⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⣠⣤⣶⣶⠀⠀⢸⣿⡇⠀⠀⣿⣿⣿⡟⠁⠀⣠⣤⣶⣶⠀⠀⣿⣿⠀⠀⢸⣿⣧⠀⠀⢿⣿⠁⠀⣼⣿⣿⣷⣤⣀⠀⠀⠙⢿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿
⡄⠀⠸⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⠀⠀⢸⣿⡇⠀⠀⣿⣿⣿⠁⠀⢸⣿⣿⣿⡿⠀⠀⣿⣿⠀⠀⢸⣿⣿⣧⠀⠘⠇⠀⣸⣿⣿⣿⣿⣿⣿⣿⡆⠀⢸⣿⡇⠀⠸⣿⣿⣿⣿⣿⣿⣿⣫⣾⣿⣿⣿⣿⣿⣿⣿
⣷⣄⠀⠈⠙⠛⠛⠛⠙⣇⠀⠈⠛⠛⠛⠁⡀⠀⢸⣿⣿⡀⠀⠙⠛⠻⣆⠀⠈⠛⠛⠋⢁⠀⠀⣿⣿⠀⠀⢸⣿⣿⣿⡆⠀⠀⢠⣿⣿⣿⠏⠙⠛⠛⠛⠀⢀⣼⣿⣧⠀⠀⠙⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣷⣶⣤⣤⣤⣴⣶⣿⣷⣦⣤⣤⣶⣿⣷⣶⣾⣿⣿⣿⣦⣤⣤⣶⣿⣷⣦⣤⣤⣶⣿⣶⣶⣾⣿⣶⣶⣾⣿⣿⣿⠏⠀⢠⣿⣿⣿⣿⣷⣶⣤⣤⣤⣶⣿⣿⣿⣿⣷⣦⣤⣤⣾⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 243

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/11/05/An_LLM_Inside_a_Search_Engine_Means_That_Companies_Tell_You_Wha.shtml
    Gemini version at https://techrights.org/n/2024/11/05/An_LLM_Inside_a_Search_Engine_Means_That_Companies_Tell_You_Wha.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ An LLM Inside a 'Search' Engine Means That
Companies Tell You What They Want, Not What Web Pages to
Visit⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Nov 05, 2024


The future of 'googling' things might be as unreliable as using_Social_Control
Media_as_a_source_of_information.


THIS is a classic "test case":


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


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


Can search engines be trusted when they "speak" instead of list relevant
results from authoritative pages, based on how often they're cited (PageRank/
BackRub)? Is Google gradually abandoning Web search in pursuit of greater power
(bypassing or ripping off originals)? If so, can Google be trusted?


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


Some people already seek "medical advice" this way. They see grammatically-
correct sentences with plausible text in them. But the facts are wrong (or
might be right, albeit_by_mere_coincidence) The LLM frenzy is going to
needlessly kill a lot of people. █


 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇ChatGPT_bombs_test_on_diagnosing_kids’_medical_cases_with
                               83%_error_rate_⦈_




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

                    ䷩ 𝚕𝚒𝚗𝚎 404

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/11/05/Birthday_Tomorrow.shtml
    Gemini version at https://techrights.org/n/2024/11/05/Birthday_Tomorrow.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Birthday
Tomorrow⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Nov 05, 2024


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


Many cakes and drinks are ready; we're one day away now.


Back in January we said (in "The Year We Turn 18") that "Techrights never tried
to be "popular" (calling for boycott isn't good for employment, either), just
to be honest. Our honesty, however blunt it may seem, brought us audiences.
Suffice to say, without audiences we wouldn't be this active since 2006. Over
40,000 blog posts in over 17 years."


We've since then published about 5,000 more blog posts and our pace improved a
lot. If we take photographs tomorrow, no faces will appear in any of these. █




⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠄⠀⠬⠍⢹⣿⡏⢀⣿⣿⠀⠀⠛⣛⡋⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀
⣠⣤⣤⣤⣤⣤⣶⣶⣾⣶⣾⣿⣾⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠇⢸⣿⡇⠀⠀⠈⢹⠉⠀⢀⢠⣿⡄⠀⠀⠀⠀⠀⢀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣶⣶⣤⣤⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠘⠘⠀⠀⠀⠀⠈⠠⣶⡏⠰⠀⠀⠀⠀⠀⠀⢀⣿
⣿⣥⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠇⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⠿⠋⠁⠘⣿⢷⣨⣾⣾⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣔⣠⠀⠀⠀⠀⠀⠀⠈⠉⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣤⣴⣾⡄⣽⣿⣷⡄⠀⠀
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                    ䷩ 𝚕𝚒𝚗𝚎 467

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/11/05/Computers_Getting_Worse_for_the_User_Over_Time.shtml
    Gemini version at https://techrights.org/n/2024/11/05/Computers_Getting_Worse_for_the_User_Over_Time.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Computers Getting Worse (for the User) Over
Time⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Nov 05, 2024


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Willem_Dafoe⦈_


ONE key requirement - or a set of core requirements - when I searched for a
'new' laptop last month was a functional optical drive, an Ethernet port, and a
classic VGA port. Yes, they function as well as always (if you can find them).
You need not be some 'neckbeard' to want them; it's purely pragmatic. I_found
one_for_£79_and_put_Debian_12_with_KDE_on_it. Just to remove any doubt/s a
priori and to avert baseless smears, it's not about paranoia or anything; I
still have a large collection of CDs (they all work OK-ish) that I cherish, I
have a drawer full of VGA cables (some from the 90s; they still work), and
sometimes things might not work ideally (Wi-Fi is a "box_of_nets"!), so good
ol' Ethernet may come to the rescue at minimal cost/burden. When I hosted
Gemini_from_home (that lasted almost 3 years!) and a Debian update
disappointingly broke Wi-Fi I just plugged a long Ethernet cable (one that is
almost 20 meters long; my sister bought it for me, god-bless her) into the
Ethernet port on the Raspberry Pi, which is currently in transit (to psydroid).
Downtime was very short (as brief as mere minutes) because of that Ethernet
port. It actually took longer to configure the router to send port 1965 packets
(over TCP/IP) to another 'channel' than it took to pull out and stretch an old
wire - one of many available (not obsolete) wires.


But we must also recognise the fact that most people don't buy a PC that way.
They also don't pay so little. Due to marketing or supposed 'convenience' they
purchase something with way too much RAM and many useful features removed...
for supposedly fashionable reasons. This trend isn't new; it has gone on for
decades and Apple with its "Air" nonsense took that to new extremes. Later we
got actual tablets with no buttons on them (or maybe 2, at most). Those are a
nightmare to diagnose and repair, set aside usability aspects.


A friend has just told me that "two USB ports on this laptop appear to have
stopped working. It cripples my workflow, one of the apparently broken ones is
the USB-C port."


This is like Windows-ism_coming_to_"Linux"_through_the_hardware (as it becomes
inherently less reliable). Remember_ACPI? "I will try a cold reboot later
today," the friend said, "but it is a PITA to get going again afterwards."


The reboot mentality. If all else fails...


I've not rebooted this laptop for nearly 400 days: 04:30:30 up 392 days, 11:15,
44 users, load average: 1.11, 1.18, 0.98


Rianne's 2 laptops (she uses 3) had this issue. USB ports with built-in
controllers break and they break even if treated gently. They seem to be made
rather 'flimsily' or 'flakily' (she keeps having these issues on her laptops,
but I never had such issues on mine; my laptops never lost a USB port, ever!).


Bad hardware components (or terrible-but-cheap pertinent materials whose
physical attributes assure future problems/irreversible failure), which I
sometimes call "plasticware" or so-called 'plasticware', isn't an obscure
issue. It is a well recognised problem. This past Sunday I spoke to a friend at
the market about how devices can no longer last decades. Many are made to fail
(or let to fail) after a few years - even the expensive brands nowadays do
this!!! - and repair is incredibly expensive because of proprietary components,
proprietary bolts/screws, and growing difficulty of navigating the insides
(repair shops also charge more than the price of brand-new 'plasticware',
lessening the incentive to fix stuff). That's all factual and one can verify
these assertions - sans citations - based on reliable sources, but the issue I
have is that newer laptops have too few ports!!! Especially too few USB ports.
Usually 1 or 2! So there's too much competition for these ports: external
mouse, external keyboard, 1 or 2 external drives, sometimes a good camera and a
microphone. Half a dozen USB ports ought to be enough, but a laptop would not
"look good" with them (even if that's not expensive to manufacture).


"I have extenders," the friend told me, "but the one is a USB-C based extender
and thus has stopped working now. USB-C supports a 'heavy' load, however the
other port which appears to have died is a USB-A port. USB-C is a computer
shaped like a cable, USB-A is just four wires."


In a lot of ways, USB got worse. It got more complex (and proprietary, of
course) and it's not even a proper port anymore. You plug a small computer into
it instead of a cable. Those cables are error-prone, just like *HDMI (Trojan
horse for DRM; bad for reliably relaying/transmitting signal with acceptable
means of fault tolerance).


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


Similarly, UEFI is utter garbage in a cowboy's suit or a trench coat, it is not
BIOS. They try_to_force_everyone_to_use_it and nowadays they falsely call it
"BIOS". They lie to us...


The friend told me that "the lies backing UEFI were called out at the time as
lies. However, it was nonetheless shoehorned into hardware and now
'required'..."


I will keep purchasing 'old' hardware because old typically means more robust
(resilient to damage; VGA cords with imperfection deliver a poor picture; HDMI
typically gives none at all!) and measurably less user-hostile. Sadly, however,
eventually the supply of old hardware will 'run out', so no alternative routes/
options will exist anymore. What to do then? Ask Digital_Vegan (Andy Farnell).
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Cartoon credit: Digital Vegan




⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡰⡄⣀⣶⣶⣲⣤⢄⠒⢦⡐⠲⠐⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣲⣴⣶⣶⣶⠆⢰⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶
⠀⠀⠀⠀⠀⠀⠀⠀⠉⠖⣊⣻⣿⣿⣿⣿⣿⡿⣿⣦⣀⠈⠂⠀⠀⠀⠀⢀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠋⢉⠍⠀⠈⠉⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⢀⣬⣋⣽⠮⠟⠉⠉⠀⠉⠈⠙⠭⣿⣦⡄⢀⠀⠀⠀⠀⠀⠀⠀⠋⠀⢀⠀⠀⠐⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣀⡀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢀⣤⣶⢉⣉⠙⠋⣙⣛⠥⠄⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣶⣤⣤⣴⠢⣤⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢉⣁⠬⠭⠂⠈⠉⠈⠁⠀⢀⣀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠔⠋⠉⠙⠿⣿⣿⠇⢹⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠚⠛⠢⠀⠀⣠⣠⣴⡶⢟⠃⡀⠠⠈⠀⠀⠀⠀⠒⣀⠐⣀⣴⣶⣶⣶⣶⣿⣶⣶⣦⣼⣿⣿⣷⣾⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⢀⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠫⠍⡛⣿⠿⠿⠉⠀⠀⢗⠠⠆⠒⠁⠀⠠⢴⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣄⠀⣴⠄⠀⠀⠀⠀⠀⠘⢿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣟⣯⡶⠁⠀⠀⢀⡴⣪⣵⡊⠐⣠⠖⢀⣈⣭⣿⣿⣿⣿⠋⠛⠛⠛⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠢⢀⡀⠀⢬⣦⡀⠚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣋⡀⠀⠀⠀⢀⠔⣡⣞⡿⠁⠁⠚⠁⠀⠈⠛⠛⠉⠛⠛⠻⣛⡒⣐⣒⣒⡀⠤⠀⠈⠸⠉⢿⢿⠿⣿⠟⢛⣿⣿⣿⣿⣿⣷⡄⠉⠻⣟⠻⠇⠤⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠋⠀⠀⠀⡔⠃⣠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣶⡿⣿⣷⣶⣶⣦⣀⡛⠲⠀⠀⠀⠀⠉⢙⣿⣿⣿⣿⡇⠀⠀⡈⣷⡄⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠠⠐⢀⣼⠄⠀⠁⠈⠀⠀⠀⠀⠀⠀⢀⣴⣶⣾⣿⣷⣦⣂⣀⡀⠈⠀⠀⠀⠉⣉⣛⣿⣿⣷⣶⡄⣀⣠⣤⣶⣾⣿⣿⣿⣿⣿⣷⢬⣻⣶⠟⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⣰⣻⣿⠀⢀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⣯⣿⣿⡦⠄⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣼⡿⣿⡏⠀⠃⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣯⣷⣶⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢟⢕⣿⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣟⣩⣝⠟⢿⣙⣿⣿⣿⣿⡿⠛⠛⠛⠉⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢄⠨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠙⡺⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣝⣻⣿⣻⣿⣿⣿⣷⣶⣾⣿⣥⡌⠀⠀⠀⠀⠀⠀⠈⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠐⣷⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠀⠥⠄⠀⠀⠀⠀⠀⠀⠀⢰⣆⣨⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⡉⢻⣿⢿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠐⠂⡀⠀⠀⠀⠀⠀⠀⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣫⡴⠀⢠⣀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣷⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠟⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣠⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⣴⡾⠷⢶⡀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠉⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠋⠀⠀⠀⠉⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠈⠡⠸⡿⢿⠟⠻⡿⠿⠏⠉⢹⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢀⠀⢻⣿⣿⣿⣿⣿⣿⡟⠇⣸⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠉⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⡄⠀⣠⡈⢻⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐
⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢠⡀⠀⣀⣤⣶⣶⣦⣠⣠⣠⣴⣶⣿⣿⣳⣇⣻⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⢁⣤⣽⣴⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣠⣰⣾⣿⣿⣿⢿⢿⠟⠉⠉⠀⠀⠀⠀⠀⠀⠈⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣦⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠈⢿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠑⣻⢻⣿⣿⣿⣿⣷⣶⣶⣤⣤⣤⣀⣀⡀⠀⠀⠀⠀⠈⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠉⠻
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠙⠋⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣉⣉
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠠⠟⠏⠹⠉⣻⣿⣿⣿⡿⠋⠀⠀⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠠⣺⠒⢑⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠄⠋⠁⠀⠀⠀⠀⠀⠉⣹⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣷⡄⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣄⡃⠠⠀⠀⠀⠀⠰⢷⡟⢙⣩⡗⣡⣶⣾⣷⣶⣄⡴⣇⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣠⣠⣄⠀⠀⢠⣶⣿⣿⣿⡿⠃⠈⠙⠻⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠈⠁⠀⠄⢀⠐⡖⠦⣤⢄⣨⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠐⠧⣤⠀⠀⣴⣴⣿⣿⣿⣿⣶⣿⣿⣿⣿⡿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⠇⠀⠀⠀⠀⠀⠸⠿⠿⠿⠿⠿⠿⠿⢿⣿
⠀⠀⠃⠀⠊⢸⢥⡾⡟⠏⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣟⣽⢀⠁⠨⠄⢣⢠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡿
⠀⠀⠐⢶⣌⣍⣞⣥⠁⢠⣸⣿⣿⣿⣿⣿⣿⣟⣿⣖⣿⣽⣬⣿⣿⢾⣦⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠
⠀⠀⠀⠀⣿⣿⣿⣅⡠⢀⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⣀⣀⣀⣀⣠⣤⣤⣶⣶⣶⣾⣿⣶⣶⣦⣤⣴⣿
⠀⠀⠀⠀⣿⣿⣿⣿⣷⡾⢻⣿⣿⣋⡿⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⢻⣿⣿⠿⠟⠛⢿⠿⣿⣽⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 650

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/11/05/Disinformation_About_Election_Outcomes_Even_Before_Any_Election.shtml
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⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Disinformation About Election Outcomes Even
Before Any Election Outcomes (or Election/
Voting!)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Nov 05, 2024,
updated Nov 05, 2024


Yesterday: Rigging_Elections_is_Difficult,_Cheating_a_Little_is_Not


"It's probably not time to revisit the problem of the proprietary voting
machines," an associate told me. "While, technically, it may be true that there
is no evidence of manipulation, it is simultaneously true that there is no
evidence disproving manipulation either."


I beg to differ regarding "not time to revisit the problem" because we know who
will revisit it right_now, either to discourage people who would otherwise vote
or to proactively discredit outcomes (unless they fancy these outcomes).


"Simply put," he said, "the machines are not auditable in any way shape or form
and that is by design."


Well, the "MAGA" people are already seeding doubt about election outcomes, even
before the voting takes place! That's a problem. One of them, Bryan Lunduke
(former_Microsofter), has been at it for weeks. Even hours ago (see below). █


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


Related but older:


   1. [Video]_Why_Bryan_Lunduke's_Attitude_Tends_to_Discredit_Some_Legitimate
      Criticism_of_Illegitimate_Organisations
   2. Why_We_Keep_Saying_Bryan_Lunduke_is_a_Liability


⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⡿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⢿⣿⡿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⢿⡿⠿⣿⣿⣿⢿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣇⣆⣀⣸⣇⣛⣘⣀⣰⣸⣐⣠⣘⣀⣅⣇⣀⣿⢨⣐⣄⣃⣇⣾⣰⣈⣀⣇⣿⣐⣰⣸⣿⣸⣈⣀⣒⣰⣾⣰⣸⣐⣀⣀⣂⣇⡂⡎⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢿⣿⣿⣿⡿⣻⢿⠿⠿⠿⠿⠿⠿⠿⡿⣿⠿⢿⣿⣿⡿⠿⠿⠿⡟⡿⡿⡻⠿⠿⡿⡿⠿⠿⢿⣿⣿⡟⣿⣿⣿⢿⠿⠿⠿⢿⣟⡿⢿⢿⣿⣿⣿⡟⡟⠿⠿⢿⢿⢿⡿⠻⡻⣻⣿⣿⣿⢿⠿⠿⡿⡿⢿⣿⣿⡿⠿⠿
⣿⣿⣿⣿⣿⣾⣿⣿⣶⣶⣶⣶⣶⣵⣿⣾⣶⣿⣿⣿⣿⣶⣶⣷⣷⣶⣿⣶⣶⣾⣶⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣾⣶⣶⣾⣾⣿⣿⣾⣾⣿⣿⣿⣷⣶⣶⣾⣾⣷⣧⣷⣷⣾⣿⣿⣿⣷⣷⣷⣾⣿⣶⣿⣿⣿⣷⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿
⣿⣿⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢤⣤⣤⣤⣤⣤⣤⡄⠀⢠⣤⣤⣤⣤⣤⣤⣤⣤⠤⣤⣤⡤⠤⣤⣤⡤⠤⣤⣤⠤⢤⣤⣤⠤⢤⣤⡤⠤⣤⣤⡤⠤⣤⣤⠤⢤⣤⣤⠤⢤⣤⣤⡤⢤⣤⣤⣤⣤⣤⣤⣿⣿⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣿⣿⡏⠉⣿⣿⠉⢹⣿⣿⠉⢹⣿⣿⣷⣾⡿⢿⣿⣾⢿⡿⣿⣿⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⡟⢻⣿⣿⠉⢹⣿⣿⠉⣿⣿⡏⠀⣿⣿⡇⠀⣿⣿⠀⢸⣿⣿⠀⢸⣿⣿⣏⣹⣟⣻⣿⣿⣟⣿⣿⣿⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⡀⢘⡇⠀⢸⣿⣿⣿⣉⣟⣿⣿⣿⠉⣿⣿⡇⠀⣿⣿⡇⢸⣿⣿⠀⢸⣿⣿⠀⣿⣿⡇⠀⣿⣿⡇⠀⣿⣿⠀⢸⣿⣿⠀⢸⣿⣿⣧⣼⣿⣯⣿⣿⣿⣿⣿⣿⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠈⢇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⠀⣿⣿⡇⢸⣿⣿⠀⢸⣿⣿⠀⣿⣿⡇⠀⣿⣿⡇⠀⣿⣿⠀⢸⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⡀⠣⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⠀⣿⣿⡇⢸⣿⣿⠀⢸⣿⣿⠀⢿⣿⡇⠀⣿⣿⡇⠀⣿⣿⠀⢸⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢰⠀⢸⣿⢹⣿⣩⣭⣿⣿⣿⠀⣿⣿⡇⠀⣿⣿⡇⢸⣿⣿⠀⢸⣿⣿⠀⢸⣿⡇⠀⣿⣿⡇⠀⣿⣿⠀⢸⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⡾⠀⢸⣿⣹⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⠀⣿⣿⡇⢸⣿⣿⡇⢹⣿⣿⠀⢸⣿⡇⠀⣿⣿⡇⠀⣿⣿⠀⢸⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣎⠀⠀⠀⠀⡅⠀⢸⣿⣹⣿⣿⣿⣿⣿⣿⠀⣿⣿⡧⠤⣿⣿⡇⢸⣿⣿⡇⢸⣿⣿⠀⢸⣿⡇⠀⣿⣿⡇⠀⣿⣿⠀⢸⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠀⠀⠀⠀⠸⣿⠀⠀⢰⣾⡇⠀⢸⣿⣿⣿⣭⣯⣿⣿⣿⠠⣿⣿⠗⠀⠛⠻⠇⢸⣿⣿⠃⢸⣿⣿⠀⢸⣿⡇⠀⣿⣿⡇⠀⣿⣿⠀⢸⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣤⣼⢸⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⡟⠁⠀⠀⠀⠀⠀⠈⢻⣿⠀⢸⣿⣿⠀⢸⣿⡇⠀⣿⣿⡇⠀⣿⣿⠀⢸⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢿⣿⣿⢸⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢰⣦⡄⠀⠀⠀⣿⠀⢸⣿⣿⠀⢸⣿⡇⠀⣿⣿⡇⠀⣿⣿⠀⢸⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠁⠀⠀⠂⠸⠻⠿⠀⢸⣿⣿⣿⣤⣦⣿⣿⣿⠀⡄⠀⠀⠈⠁⠀⠀⠀⢠⣿⠀⢸⣿⣿⠀⢸⣿⡇⠀⣿⣿⡇⠀⣿⣿⠀⢸⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣦⡀⠀⠀⢀⡀⢰⣿⣿⠀⢸⣿⣿⠀⢸⣿⡇⠀⣿⣿⡇⠀⣿⣿⠀⢸⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡿⡿⣿⣿⣿⠀⣿⣿⡇⠀⣿⣿⡇⢸⣿⣿⠀⢸⣿⣿⠀⢸⣿⡇⠀⣿⣿⡇⠀⣿⣿⠀⢸⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⠿⠿⠿⠿⠿⠿⠿⠒⠻⠿⠓⠒⠻⠿⠓⠚⠿⠿⠒⠚⠿⠟⠒⠾⠿⠗⠒⠻⠿⠓⠲⠻⠿⠓⠚⠿⠿⠲⠚⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿
⣿⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⣿⣿
⣿⣿⡇⠁⣿⡌⠏⡜⣛⢛⢙⢸⢛⠛⢛⡛⣿⡇⠸⠀⡟⠛⠟⣛⡇⡛⡇⡟⡛⠛⠛⠛⠛⣻⡟⢱⠬⡟⠛⡋⣻⡇⢘⠀⡛⠛⠛⣛⠈⢛⠛⠛⢛⡃⣯⢎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣇⣏⣱⣹⣿⣿⣿⣿⣿⣿
⣿⣿⣧⣤⣿⣷⣴⣷⣬⣾⣬⡼⠼⣤⣂⣁⣿⣧⣦⣧⠦⣥⣦⡥⣧⣧⣧⣧⣧⣴⣬⣶⣥⣾⣷⣬⣥⣧⣥⣧⣽⣧⣼⣤⣬⣤⣦⣵⣤⣮⣮⣵⣦⣥⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠹⠏⡏⢫⠛⡍⢻⠉⣿⣿⣿
⣿⣿⡅⡅⠉⠤⠹⢐⢹⢸⣿⠰⠷⡎⠀⠁⣭⢸⢁⠈⠉⠉⡌⡇⡏⢃⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⡻⢻⠟⡛⡻⠟⣿⣿⣿
⣿⣿⣷⣿⣿⣶⣿⣶⣿⣾⣿⣷⣾⣿⣶⣿⣿⣷⣷⣷⣿⣿⣷⣷⣯⣼⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠶⠶⠶⠶⠶⠷⠷⠶⣿⣿⣿
⣿⣿⠿⠿⠿⠿⠿⠿⠿⠻⠿⠿⠿⠿⠿⡿⠟⠿⠿⠿⠿⠿⠿⣿⢻⡿⠿⠿⠿⠿⠿⠿⠿⠟⠿⠿⠿⠿⠿⠿⢿⠿⠿⠻⠿⡿⠿⠻⠿⠿⢻⠻⠿⠟⠿⠿⢿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⠀⠀⠀⡀⠀⠀⠀⠀⣿⣿⣿
⣿⣿⣶⠀⠀⠄⠀⠀⠀⠀⠀⣾⣶⣶⣶⣷⣶⣶⣶⣷⣶⣶⣶⣾⣶⣷⣷⣶⣶⣷⣶⣶⣶⣶⣶⣶⣶⣶⣷⣶⣾⣶⣶⣶⣶⣷⣷⣶⣶⣶⣾⣶⣶⣶⣶⣷⣾⣶⣷⣶⣶⣶⣾⣾⣶⣿⣿⠀⠀⠀⠀⠀⠀⠁⠀⣿⣿⣿
⣿⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⡿⣟⡟⡟⢻⡿⢿⠿⣿⣿⡿⣿⣻⣿⣿⣿⣿⣿⡿⢿⡿⢿⣿⣿⣿⣿⠛⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⢿⣿⡿⣿⢿⣿⣿⣿⣿⠛⣿⣿⣿⣿⣿⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡘⣀⢃⡇⡇⡇⢸⣿⡘⣸⡰⢊⡆⢾⢸⢰⡆⡇⠆⣿⡇⠀⢡⢸⠢⠈⡁⠶⠀⡆⡇⡇⢰⢸⡠⢬⠤⢺⣿⡘⠍⣇⠤⢵⠰⣿⡇⣭⢸⠢⠈⡁⠶⠀⡰⡇⠤⡇⠖⢸⢵⣾⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⢵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠌⡇⠈⢩⢩⠉⡋⡍⣏⡩⡅⣽⣿⢰⣶⠋⣉⡏⣭⠀⡭⡉⢹⢹⢩⠉⡇⡏⠏⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣶⣶⣾⣾⣶⣷⣶⣷⣶⣷⣾⣿⣷⣶⣷⣶⣷⣿⣶⣶⣶⣾⣾⣾⣶⣷⣟⣼⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡿⢿⡿⢿⣿⢿⢿⣿⠿⢿⠟⢿⣿⢿⣿⠟⣿⣿⠿⡿⢿⡿⠻⣿⣿⡿⠿⣿⠿⡿⣿⣿⠻⠿⣿⣿⠛⣿⠿⣿⡿⢿⣿⢿⠿⠿⢿⠿⠿⢿⡿⣿⠿⣿⡿⠻⢿⣿⣿⡿⠿⢿⠿⢿⡿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣷⣞⣿⣿⣾⣿⣶⣿⣶⣷⣿⣾⣿⣶⣿⣷⣶⣗⣻⣿⣾⣮⣿⣷⣶⣻⣷⣿⣶⣿⣶⣶⣿⣿⣶⣿⣾⣷⣷⣾⣧⣿⣾⣶⣼⣶⣶⣾⣿⣾⣾⣷⣷⣶⣾⣿⣿⣾⣶⣾⣶⣶⣣⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣏⣅⣋⣾⣩⣹⣿⣎⣫⣟⣯⣏⣹⣽⢹⣋⣯⣯⣽⣽⣟⣉⣹⣁⣝⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣷⣷⣿⣿⣯⣯⣷⣧⣷⣷⣯⣯⣯⣿⣮⣬⣯⣾⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 749

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/11/05/Drew_DeVault_People_Talking_About_My_Attack_Site_Against_the_Fo.shtml
    Gemini version at https://techrights.org/n/2024/11/05/Drew_DeVault_People_Talking_About_My_Attack_Site_Against_the_Fo.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Drew DeVault: People Talking About My
Attack Site (Against the Founder of GNU/Linux) is
"Spam"⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Nov 05, 2024,
updated Nov 05, 2024


3 days ago: DeVault_"Closes_Down_His_Mailing_Lists_Every_Time_There's_a
Scandal"_and_Also_Censors_Messages


From sr.ht-discuss:


     🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Re:_Spam_on_sr.ht_mailing_lists_(the_hypocrisy!)⦈_


He speaks of "the belief that I was involved in publishing a report on Richard
Stallman". Dude, the_draft_was_on_your_own_Web_site!


   🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇The_IP_address_for_stallman-report.org_was_originally
                 pointed_at_the_same_one_as_drewdevault.com⦈_




⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡺⠗⣿⣀⣕⣀⣃⣰⣒⣁⣁⣸⣃⣖⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⡿⢿⢿⢛⣻⢹⢛⢟⣻⢛⡛⡛⡟⣛⠟⡟⠻⡛⣛⢻⢫⢛⣻⢛⣿⠙⡛⡋⣻⣿⢟⠋⡏⢟⣻⠟⣛⢻⡟⠟⣛⢛⣻⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⠉⠟⢛⣿⣏⢹⠛⢟⠛⡛⢻⡟⣻⢛⢿⡛⣟⣿⡛⣛⣿⠛⡛⢛⠋⣿⠙⣻⠛⣿⢹⣟⠋⣟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⡏⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⡟⠻⡛⢛⠋⢙⠛⡛⠛⠛⠛⢛⠟⠛⠛⡛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⠀⠀⠀⠘⢛⠛⢙⠉⠛⠙⠁⠀⠀⢸⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⢸⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 838

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

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    Gemini version at https://techrights.org/n/2024/11/05/Google_s_Debt_Has_Increased_and_Cash_on_Hand_Fell_by_22_27_This.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Google's Debt Has Increased and 'Cash on
Hand' Fell by 22.27% This Past Year⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Nov 05, 2024


Yesterday: Microsoft_Lost_Nearly_Half_of_Its_'Cash_Reserves'_This_Past_Year


         🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Alphabet_Cash_on_Hand_2010-2024_|_GOOGL⦈_


These are the numbers that the corporate media intentionally leaves out.
Publishing these sorts of numbers isn't good for Wall Street and the media
likes to say that whatever is good for Wall Street is also good for the
country. They now tell_us that what's good for Intel is GoodForTheCountry™ even
when the exact_opposite is true [1, 2, 3, 4].


Debt at Google ("Alphabet") has meanwhile increased_by_about_500_million
dollars to 29,289 million dollars. That's despite mass layoffs. There are
already talks of more layoffs and 'heckling'.


Just to be clear, "Cash on Hand" is not actual cash. The_term_"Cash_on_Hand"_is
a_misnomer. It is a horrible misnomer that serves to embellish the "debt
industry", which also euphemises debt (financial shackles) as "credit".


Also consider "depreciation" (or other misnomers). An old_paper_explains: "To
what extent is depreciation (and other non-cash charges) a source of cash?
Holding all else constant, the answer depends on the level of income used for
income taxes and dividend payments. "Depreciation is a source of funds" is a
common but misleading statement. Taking this idea literally creates the
impression that by setting pencil to paper and increasing the depreciation
expenses, cash or funds will be generated. It should be understood that
depreciation does not provide cash---only sales and external financing can do
this. Being a non-cash expense, depreciation is only a means of conserving the
outflow of cash from the firm. This is done by reducing the payments for income
taxes and dividends.The American Institute of CPAs clarified the relationship
between depreciation and cash in its discussion of the cash flow concept in
financial literature. "The expression cash flow, or any other similar term, in
the literature of investments and security analysis is usually the equivalent
of 'funds provided by operations' in the typical funds statement. This concept
has a valid factual background. Funds are normally acquired through the earning
of revenue. (In some cases a revenue item does not provide funds, as in the
case of the amortization of deferred income, and adjustments should be made for
such items.) Unlike the out-of-pocket-expenses, such as labor and materials,
depreciation and other similar expenses do not represent outlays of funds.
Normally, therefore, there will be a balance of available funds that is greater
than the amount of net income. The net income of a business does not indicate
the full amount of spending power that is generated in a particular period by
revenue-earning operations, after providing for all of the current or short-
term operating requirements." The addition of depreciation (or other such
items) to the amount of net income is merely a short cut technique for arriving
at at the amount of funds derived from operations. This adjustment helps to
explain some of the things that have happened, such as how a business has been
able to modernize its plant or pay off a loan without borrowing more money or
issuing more shares of stock. The term "cash flow," however, is a misnomer---it
is neither cash nor flow. The net income is, with rare exceptions, computed on
an accrual basis, not on a cash basis. Adding back such items as depreciation
does not convert the net income to something that can properly be called cash
flow or income, since the result still reflects such things as the sales and
purchase of goods and services on account, the lag between the acquisition or
production of merchandise or products and their appearance on the income
statement as a "cost of goods sold" deduction, various accruals of income and
expenses, and the amortization of deferred charges or prepaid expenses and
deferred credits (that should be and sometimes are involved in the adjustment
of net income). To what extent is depreciation (and other non-cash charges) a
source of cash? Holding all else constant, the answer depends on the level of
income used for income taxes and dividend payments."Depreciation is a source of
funds" is a common but misleading statement. Taking this idea literally creates
the impression that by setting pencil to paper and increasing the depreciation
expenses, cash or funds will be generated. It should be understood that
depreciation does not provide cash---only sales and external financing can do
this. Being a non-cash expense, depreciation is only a means of conserving the
outflow of cash from the firm. This is done by reducing the payments for income
taxes and dividends.The American Institute of CPAs clarified the relationship
between depreciation and cash in its discussion of the cash flow concept in
financial literature. "The expression cash flow, or any other similar term, in
the literature of investments and security analysis is usually the equivalent
of 'funds provided by operations' in the typical funds statement. This concept
has a valid factual background. Funds are normally acquired through the earning
of revenue. (In some cases a revenue item does not provide funds, as in the
case of the amortization of deferred income, and adjustments should be made for
such items.) Unlike the out-of-pocket-expenses, such as labor and materials,
depreciation and other similar expenses do not represent outlays of funds.
Normally, therefore, there will be a balance of available funds that is greater
than the amount of net income. The net income of a business does not indicate
the full amount of spending power that is generated in a particular period by
revenue-earning operations, after providing for all of the current or short-
term operating requirements." The addition of depreciation (or other such
items) to the amount of net income is merely a short cut technique for arriving
at at the amount of funds derived from operations. This adjustment helps to
explain some of the things that have happened, such as how a business has been
able to modernize its plant or pay off a loan without borrowing more money or
issuing more shares of stock. The term cash flow, however, is a misnomer --- it
is neither cash nor flow. The net income is, with rare exceptions, computed on
an accrual basis, not on a cash basis. Adding back such items as depreciation
does not convert the net income to something that can properly be called cash
flow or income, since the result still reflects such things as the sales and
purchase of goods and services on account, the lag between the acquisition or
production of merchandise or products and their appearance on the income
statement as a "cost of goods sold" deduction, various accruals of income and
expenses, and the amortization of deferred charges or prepaid expenses and
deferred credits (that should be and sometimes are involved in the adjustment
of net income). If the purpose is to determine the degree to which depreciation
conserves cash then the question arises: Is depreciation 100 percent conserver
of cash; if not, to what extent does it conserve cash? If the purpose is to
determine the degree to which depreciation conserves cash then the question
arises: Is depreciation 100 percent conserver of cash; if not, to what extent
does it conserve cash?" █




⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⠏⢹⢹⡛⡏⠛⠛⡏⡛⠛⠋⣻⢩⡍⠛⠛⢛⢙⢻⢛⢻⠛⣿⢙⡋⠛⠛⡛⢛⢹⡯⢹⢩⢩⢹⢩⢹⢿⠍⡍⡍⡭⡹⠉⣿⢹⡏⡍⡏⡍⡏⡍⡏⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣾⣷⣾⣶⣷⣶⣶⣷⣾⣶⣶⣾⣶⣾⣶⣶⣾⣾⣾⣶⣾⣶⣿⣾⣷⣶⣶⣷⣶⣾⣷⣶⣶⣾⣾⣷⣾⣿⣶⣶⣶⣶⣾⣷⣿⣼⣷⣶⣷⣶⣷⣶⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⣿
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣏⣉⣩⣉⣉⣹⣋⣉⣀⣉⣉⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⡷⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⣿
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢛⠛⠙⠛⢻⡛⠛⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⣧⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿
⣿⣯⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣿
⣿⣿⣿⣿⡿⡿⠿⠿⠿⢿⠿⠿⢿⠿⢿⠿⠿⢿⠿⠿⠿⡟⣻⡟⡿⢿⡻⠛⠟⡿⠻⠿⢿⠿⠟⠿⠿⢻⠿⠿⡿⢿⠿⠟⠿⠿⢻⠿⡿⠿⠿⡿⠿⠿⠿⠻⢿⠿⡟⠿⠿⠿⠿⡟⠿⠿⢿⠟⠿⠿⡿⠿⢿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣷⣶⣾⣶⣶⣾⡶⣶⣿⢶⣿⣶⣾⢾⣷⢶⣶⣶⣾⢷⣷⣾⣶⣶⣷⣷⣶⣶⢿⣶⣶⣶⣶⣾⣶⣾⣷⣾⣶⣶⣶⢶⣾⣶⣷⣶⣾⣷⣶⢶⣶⣶⣾⡶⣿⣶⡾⢶⣶⢷⡶⣶⣶⣶⣶⡶⣷⣷⣾⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣯⣦⣿⣤⣼⣧⣦⣦⣥⣤⣯⣴⣦⣬⣧⣴⣴⣾⣧⣾⣤⣤⣯⣼⣦⣧⣤⣽⣤⣴⣦⣽⣧⣤⣥⣷⣧⣦⣼⣤⣽⣤⣯⣤⣼⣤⣤⣧⣾⠤⣒⣬⣵⣶⣶⣶⣶⣶⣶⣦⣥⣁⢴⣽⣼⣦⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⣤⣥⣤⣤⣼⣤⣀⣤⣤⣤⣧⣥⣧⣤⣴⣧⣄⣥⣥⣤⣤⣤⣧⣬⣼⣦⣬⣴⣤⣤⣤⣤⣾⣤⣷⣤⣤⣧⣬⣴⣧⣬⣼⣤⣴⣤⡽⣱⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡜⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡟⠻⠻⠟⠿⢿⠿⠿⢿⠿⡟⠿⠿⢻⠻⢿⠻⢿⠿⠿⠿⠿⡿⠿⠟⠿⢿⠻⠿⠿⠿⠿⠿⡟⠟⣟⠟⡻⢻⠿⠿⡟⠟⠳⣿⠛⠛⣿⢿⢛⢟⠛⠻⡿⠿⠟⠿⢿⠿⣿⠸⠿⠿⢿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⣶⣶⣶⣾⣶⣶⣿⣶⣷⣶⣶⣾⣶⣾⣶⣾⣶⣶⣶⣶⣷⣶⣶⣷⣾⣶⣶⣶⣶⣶⣶⣷⣷⣷⣶⣾⣾⣿⣶⣷⣷⣶⣜⢷⣶⣾⣾⣶⣶⣶⣷⣷⣶⣶⣶⣾⠶⣣⣾⣾⣷⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣮⣝⣛⠿⠿⠿⠿⠿⢟⣛⣫⣵⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 979

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/11/05/Halloween_All_Saints_Day_Swiss_citizenship.shtml
    Gemini version at https://techrights.org/n/2024/11/05/Halloween_All_Saints_Day_Swiss_citizenship.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Halloween, All Saints Day & Swiss
citizenship⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Nov 05, 2024,
updated Nov 05, 2024


Reprinted with permission from Daniel_Pocock.


I first went to Switzerland in August 2006. My first photo in Switzerland was
taken in Lausanne with Lake Geneva and the French alps behind me. At the time
this was taken, I did not realize I would eventually have the task of draining
the swamp.


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Daniel_Pocock,_Lausanne,_EPFL⦈_


The Swiss citizenship ceremony was on 1 November.


Coincidentally, that is the day after Halloween. Halloween's real meaning is
the eve of All Saints Day in many Christian religions, including those
religions that are prominent in Switzerland. The_Vatican_gives_us_some_notes
about_the_origins_of_the_Solemnity_of_All_Saints:


     Already by the end of the 2nd century, there is evidence that the
     saints were already being venerated. First, the holy martyrs, who
     were soon joined by the apostles, the official witnesses of the
     faith. After the great persecutions under Imperial Rome, other men
     and women who had lived heroic Christian lives gradually became the
     object of veneration as well. The first non-martyr to be venerated as
     a saint was Martin of Tours. Toward the end of the year 1000, due to
     the uncontrolled development of "saint making" and the "purchase" of
     relics, a process for canonization was developed which required
     evidence of miracles.


Some people have come to regard the Swiss passport as a small miracle. Some
said it is a big miracle. It measures 125 x 85 millimeters. The Swiss flag,
however, is one of only two national flags that is officially square. The other
is that of the Vatican state.


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Daniel_Pocock⦈_


People notice the same "saint making" phenomena in awkward groups like Debian
and GNOME, where people who are not authors of the software are given elaborate
titles and keynote speaking opportunities ahead of real Debian Developers like
Dr Norbert Preining and I.


Nonetheless, the key point is that All Saints Day began with the martyrs. Or
did it?


People ask how I can be Australian, Irish and Swiss all at the same time. In
fact, we can show how they are related very easily.


On 3 August, the application for citizenship gained its final approval by the
Swiss Confederation in Bern.


On 19 September the Swiss financial regulator FINMA belatedly published a
document about the poor behavior of Parreaux, Thiebaud & Partners, a Swiss
legal insurance and law office. FINMA redacted the name of the insurance
company, the names of the jurists and even the dates, frustrating attempts by
the 20,000_clients to find out where our money went in Geneva.


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇FINMA,_Parreaux_Thiébaud_&_Partners,_Justicia_SA,_Justiva
SA,_Mathiee_Parreaux⦈_


On 28 September the Canton of Vaud sent me the invitation to a citizenship
ceremony scheduled for 1 November.


At the time, community efforts to investigate and fact-check the bad faith
legal insurance and jurist scandal were well under way.


On 7 October I published_my_first_blog_about_the_JuristGate_scandal. As I fact-
checked all the details, I became concerned that there may be miscarriages of
justice, innocent clients who have lost legal disputes, lost their business or
suffered a loss of confidential information and subsequently committed suicide.


Shortly after I published the blog, somebody asked me if the Swiss jurists came
with their guns.


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Switzerland,_guns,_shooting⦈_


Software in the Public Interest, Inc filed_their_tax_return_showing_they_spent
over_$120,00_on_legal_fees to hurt my family and I. I published_a_detailed
breakdown_of_those_expenditures_in_a_table. Rather than having me arrested,
molested or shot, the award of Swiss citizenship confirms that their vendettas
are totally disconnected with reality and a huge waste of money. Is that really
a non-profit organization or is it a slush fund for big tech to attack
independent experts who spoke up for human rights online?


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Software_in_the_public_interest,_legal_expenses,_vendettas⦈_


I subsequently started the bi-lingual_JuristGate_web_site where more details
will appear as I have time and motivation. Draining the swamp is hard work,
Lake Geneva has a depth of 310 meters.


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇JuristGate⦈_


While thinking about those suicides and the FINMA cover up, I couldn't help
thinking about how Debian had covered up the_confirmed_case_of_a_Debian_Day
suicide and the cause of death in the case of Adrian_von_Bidder,_who_died_in
Switzerland_on_our_wedding_day.


With the eventual death tolls of JuristGate and Debianism on my mind, the Swiss
citizenship ceremony, on the day after Halloween, couldn't have been a more
grim occasion for me. The harm that Swiss_racism_has_done_to_black_cats, the
harm that Swiss corruption has done to my family and so many other families,
the potential for even more suicides, were the predominant things on my mind as
I took the Swiss citizenship oath.


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


 


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇cats_declared⦈_


 


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


A few days later on 6 November, thinking about the death of Abraham Raji, I
canceled_the_Debian_trademark_registration_in_Switzerland.


9 November is my birthday and that was the day the new Swiss passport was
delivered. Switzerland seems to produce passports much faster than Australia or
Ireland.


Coincidentally, 9 November was also the Kristallnacht, the giant pogrom that
kickstarted the Holocaust.


The falsified accusations and insults being distributed on the Debian web site
contain different dates in them. On the first page it refers to 10 November and
on the last page they wrote 27 November. Discrepencies like that are often
tell-tale signs of a forgery. That would be nothing new for Debian, I
previously exposed_how_these_dishonest_people_falsified_harassment_claims
against_another_Google_critic,_Dr_Jacob_Appelbaum. Forgeries, falsehoods and
targetting of Google critics is part of a very predictable pattern for Debian
cyberbullies and their social media rent-a-mob.


Nonetheless, the Kristallnacht morning-after, 10 November, is the date the
Jewish business owners woke up to find their shops and factories had been
trashed by the Nazis. Now we can see that the Open_Source_Developer_Freedoms
are_officially_in_liquidation. The people celebrating that are closer to the
spirit of Hitler than to the spirit of those who started the free software
movement. Dr_Richard_Stallman_and_several_other_key_figures_are_of_Jewish
origin. It is telling that some of the nazi flag bearers creating documents
like that have used this same date, the day after my birthday, the hangover of
the Kristallnacht, to try and trash my life. Hitler may be dead but his spirit
lives on in the incurably racist Swiss women like Pascale Koester who attack
unpaid volunteers with their unholy cocktail of false accusations and girlish
gossip.


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


People who read the real_history_of_Debian come to realize that it is not about
my own conduct or skill as a Debian Developer. The long history of suicides and
public humiliations prove the problems originate at the core of this group and
it has always been that way. They use the racist jurists to cover that up.


While the Holocaust was a thing of the Nazis and Debian's_current_leader,_the
German_Andreas_Tille,_was_elected_on_Hitler's_birthday, Halloween can be traced
back to both Christian rituals and even before that An_Samhain,_an_Irish_pagan
ritual_to_mark_the_beginning_of_winter.


There you have it. An Irish-Australian information security expert exposing
Swiss corruption almost in the same breath as taking the oath of Swiss
citizenship on the day of the martyrs, which was itself modeled on an Irish
pagan ritual. So I may be Swiss and Australian but I'm no less Irish.


Happy Halloween.


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


This the video from the UN Forum on Business and Human Rights in Geneva when I
predicted_somebody_like_Elon_Musk_would_take_over_Twitter: MP4_video


 


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Daniel_Pocock,_Swiss_citizenship,_naturalisation_ceremony,
Lausanne,_Vaud⦈_


 


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Daniel_Pocock,_Swiss_citizenship,_naturalisation_ceremony,
Lausanne,_Vaud⦈_


 


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Daniel_Pocock,_Swiss_citizenship,_naturalisation_ceremony,
Lausanne,_Vaud⦈_


 


This is Mount Errigal in the Canton of Donegal, Ireland: █


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Mount_Errigal,_Donegal,_Ireland⦈_


 


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Pascale_Koester,_Albane_de_Ziegler,_Walder_Wyss⦈_




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

                    ䷩ 𝚕𝚒𝚗𝚎 1628

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/11/05/How_Voting_Does_Not_Work.shtml
    Gemini version at https://techrights.org/n/2024/11/05/How_Voting_Does_Not_Work.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ How Voting Does Not
Work⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Nov 05, 2024


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Did_you_vote?_No,_but_I_tweeted_about_my_preferred_candidate
                            and_got_lots_of_likes⦈_


Social Control Media does not equal elections. Casting a vote is the only thing
that counts. You cannot vote from an "app".




⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢀⣀⡀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢩⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢄⡀⣾⠛⡃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣧⣄⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⠀⠀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠋⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⡏⠘⠂⠀⠀⠀⢐⢒⡀⣸⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠥⣠⣶⣤⣄⠀⠀⢸⢸⣿⣿⣿⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢼⣿⣿⣿⡇⠀⢹⣿⡿⣿⣿⣿⣿⣿⣿⣿⣦⣿⣿⠁⠀⣿⣿⣿⣿⡙⠏⣿⣧⠉⢹⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣇⠀⠸⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣰⣿⣿⣿⣿⠔⠀⣿⣿⡄⢸⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠛⢛⣛⣛⡉⠉⠉⠙⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⠀⠀⣿⣈⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡣⠀⠘⠟⠃⢸⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⠿⠿⠿⣿⢿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢽⣿⣿⣿⠓⢿⣿⣿⣿⢿⡿⠃⠀⠀⣧⠘⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⣿⡇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠘⣿⣿⣿⡏⠀⠉⠻⠟⠛⠈⠁⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⣻⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠀⠀⢿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠃⠰⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣷⣶⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠙⠻⢿⣿⠟⠁⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⢠⣤⢠⣤⣤⡀⠠⣤⣠⡄⣴⢦⡄⣤⣤⣤⠀⢠⡄⣤⡄⣴⢦⡄⣤⣤⡄⣤⣤⢠⡴⣦⡀⠀⠁⠀⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⣿⢸⣿⢸⡇⣿⡇⠀⢿⡿⢸⣿⢸⡇⣿⣿⣿⠀⢸⣷⣿⢻⣿⢸⡇⢸⣿⠀⣿⠦⢨⣅⣿⠇⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⢿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣧⡿⢸⡿⢸⣧⡿⠃⠀⢸⡇⠈⢿⣼⠇⠻⣿⠿⠀⠀⣿⣿⠘⢿⣼⠇⢸⣿⠀⣿⣦⢨⡅⠉⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣀⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣀⣤⣤⣀⣀⣤⣴⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣴⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿
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⣿⠁⢸⣿⢾⣿⢶⣟⢸⣟⣿⡃⣟⡆⣿⡷⣿⡃⡟⣷⠀⡞⠧⣼⣇⣿⣼⢸⢻⣾⡇⡟⣧⣼⣇⢻⠃⣟⠀⢸⣷⢸⣼⢸⣿⡆⢰⣿⣦⡟⡆⢻⠃⢸⡇⣾⣷⢻⡟⢾⣓⠀⣾⣷⢸⡃⢸⡇⣿⢸⣼⢹⣟⢾⣓⠀⠀⠀
⣿⡀⠸⠇⠸⠿⠿⠷⠸⠇⠿⠆⠇⠇⠿⠿⠿⠆⠷⠟⠀⠷⠏⠿⠿⠿⠻⠸⠾⠻⠇⠷⠟⠿⠿⠸⠀⠷⠄⠿⠻⠼⠹⠸⠿⠇⠘⠟⠏⠷⠃⠸⠀⠸⠷⠻⠟⠸⠇⠺⠟⠀⠻⠟⠸⠀⠸⠷⠿⠸⠹⠼⠷⠸⠿⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 1698

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/11/05/IRC_Proceedings_Monday_November_04_2024.shtml
    Gemini version at https://techrights.org/n/2024/11/05/IRC_Proceedings_Monday_November_04_2024.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ IRC Proceedings: Monday, November 04,
2024⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Nov 05, 2024


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Manhattan_Bridge,_New_York,_USA⦈_


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


                                              #techrights_log                                                                                           #boycottnovell_log


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


                                         #boycottnovell-social_log                                                                                        #techbytes_log


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contain all the text.


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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢔⡄⢀⣤⠀⠀⠄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⠀⢸⣿⡇⢀⠅⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⡀⢸⣿⡇⢀⠅⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⠛⠋⠉⠉⠁⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠀⢸⣿⡇⠀⠇⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⣿⣿⣿⠿⠿⠟⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⡏⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⡋⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⠀⢸⣿⡇⠀⠄⠸⣿⣿⣿⠿⠿⠟⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀
⡿⢿⠁⠀⠀⢸⣿⣿⣿⣿⣿⣿⠟⠛⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢠⡄⠀⠈⠁⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⣤⣤⣤⣶⣶⣶⣿⡿⠿⣿⣿⣿
⣷⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠙⠇⠀⣿⣿⣿
⣿⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⡇⠀⠀⢰⠀⠀⠀⠀⠿⠿⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠹⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⢻⣿⣿
⡟⠀⠀⠀⠀⠀⠀⠈⠈⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣾⣿⣏⠀⠀⠀⠀⠘⣿⣿
⠁⠀⠀⠈⠁⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⠿⠟⣟⢿⠀⠀⠀⠀⠀⠙⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀
⣤⣤⣤⣤⣤⣤⣤⣤⣴⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 1924

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/11/05/Meme_How_NOT_to_Vote.shtml
    Gemini version at https://techrights.org/n/2024/11/05/Meme_How_NOT_to_Vote.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ [Meme] How NOT to
Vote⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Nov 05, 2024


Another form of (mostly-unspoken-of) election interference comes_from_GAFAM:


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


Not everything you find on the Web is true.


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




⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣷⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡶⢾⣟⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣻⣤⣤⣿⣧⣦⣦⣴⣄⡀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⠉⠉⠀⠀⠀⠹⣿⡟⠛⠂⠀⠀⠀⠀⠀⣀⣀⡀⠀⢀⣀⣀⣀⣀⢀⣤⣄⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢀⠀⡀⡀⣤⣄
⣀⠀⢀⠀⠂⠒⠻⡿⠿⢿⣶⣦⠀⠆⠀⠀⠀⠀⢀⠀⠀⠁⢸⣿⣿⣅⣠⣤⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢄⠀⠒⠒⢶⠆⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿
⠉⠙⠻⠿⡿⢿⣿⣿⣿⡟⠛⠃⠰⣿⠀⠀⠀⢒⣚⣓⣾⣶⣿⣿⣿⣿⠿⣿⠻⢿⣿⣿⠿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠶⢿⠀⣛⣡⠄⠀⠀⠔⠂⠋⠉⠉⠙⠛⠋⠀⡄⠀⢠⣿⣿⣟⣿⣿⣿⣿⣷⣿⢿⣿⣿⣿⠏⠹⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⡿⠘⠋⠉⠉⠉⠉
⠉⠉⠉⠁⢉⠁⠉⠿⠄⣳⣦⠀⠀⣬⡿⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⡤⣻⣇⣤⣤⣤⣄⠀⣀⡀⠀⠻⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⠿⠇⠀⣄⠀⠀⠀⢀
⣤⡄⠀⠀⣿⡀⠀⠀⢨⣧⣄⣰⡐⠀⠀⠀⠀⠀⠀⠘⠀⠒⠒⠒⠒⠒⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣾⣿⣷⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠿⣿⣛⣛⣛⣻⣻
⣄⡶⣶⣿⣿⣿⣾⣿⣿⣿⣿⣿⣟⠀⠀⠀⡀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⣿⡿⣿⣿⠀⠀⠀⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⣼⡿⡿⠿⠿⠿⠿⠿⣛⣛⣿⣉⣉⣹⣿
⣿⣟⣿⣿⣿⣿⣤⣭⣥⣤⣶⣺⣿⠀⠀⠠⠓⢒⠀⠐⡾⠁⠠⠀⠀⡌⠉⠁⠈⢿⣿⣿⣿⣿⣉⣉⣉⣹⣿⣿⣿⣿⣿⡿⠿⠿⠿⡿⠿⠿⠿⠧⢤⣼⣿⣿⣿⠤⠄⣤⣤⣴⣤⣾⣶⣶⡶⣶⢶⡶⡖⠿⢿⣿⠉⠉⢹⣿
⠟⠳⣿⠿⠿⠷⠀⠿⠿⣬⣿⣿⣿⠀⡀⠰⠀⣤⣀⣬⣭⠥⠭⢽⠍⠉⠉⠉⠡⠁⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠅⠠⠶⠶⠷⠶⠦⠾⠤⠀⠉⠋⢩⣿⠄⠠⣤⣽⣿⡿⢿⢿⣿⣿⢻⣾⣧⡧⠄⠈⣿⠀⠀⣾⣿
⠀⡀⠀⠀⣤⡄⠀⠀⠀⡀⠀⣿⣿⡀⡇⠸⠏⠩⡍⠉⠿⢭⣬⣽⠍⠈⠙⣛⣺⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢀⣀⡀⣀⡀⣀⣀⣴⣾⠛⢾⣿⡀⠀⣉⣭⣽⠒⠀⣾⣿⣿⣿⣿⣿⡇⠛⢿⣿⠶⠶⣿⣿
⢻⡛⣿⣷⡟⢻⣿⣛⣛⣛⣻⣿⣿⣶⣷⣶⣾⣍⢑⣀⣐⣮⣴⣴⣲⣤⣔⢛⣛⠁⢺⣿⣿⣿⣯⣯⣻⣿⣿⣟⣿⣿⣿⠀⠀⠀⠉⠛⠿⠷⠿⠿⠿⢿⣿⣾⣿⡇⠈⠁⣿⣿⠀⢠⠿⠛⠉⠻⢿⣿⡧⠶⠾⣿⠷⡿⣿⣿
⠙⡛⣿⣿⣷⡟⣭⣭⡉⠉⣛⣿⣿⣿⣿⣿⣟⣟⡛⣛⣻⣟⣛⠻⠋⠁⠀⠀⠀⠀⢸⣿⣿⣿⣿⡉⠉⣹⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⠿⢿⣿⠇⠀⠀⢥⣿⣴⣿⣷⣶⣶⣤⣼⣿⡗⠄⢀⣽⡀⠀⣿⣿
⡧⠠⣿⣿⠻⣷⣿⣿⡿⠺⠿⣿⣧⢾⣿⣿⣿⠛⠩⠉⠉⠁⠁⠀⠀⠀⠀⠀⠀⠀⢸⣿⠿⣟⠛⠃⠀⠛⣻⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣉⣻⣿⣧⢸⣿⣿
⣶⠀⣿⣿⣷⣼⡯⠀⢠⡤⢀⡈⠉⢸⣿⣻⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣿⠀⠀⢠⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣹⣿⣿⣼⣿⣿
⣿⣶⣾⣿⣿⣿⣷⡖⣠⣤⣻⣧⠀⢙⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡯⠀⠀⠈⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⠏⠉⣹⣟⢻
⣿⣿⣿⣿⡿⢷⣿⣧⣻⣿⣯⡍⠰⣛⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⢻⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⠿⢿⠿⠿⢿⠏⢠⠙⠟⠀⠀⣸⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣏⠈⢛⣁⠀⠘⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⣀⣸⣦⢸⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣇⠀⠀⠀⠀⣀⢀⣤⠄⢀⣀⣤⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡟⠉⠉⣭⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠈⠉⣠⢻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣶⡄⣀⣿⠋⠋⠉⠄⠀⢹⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣶⣶⣿⣿⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡇⠁⣶⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣯⣉⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡿⠁⠈⠿⠿⠿⠿⠿⡿⠿⠿⠿⠿⠿
⠛⠛⠛⣿⣿⡿⠿⣿⣾⣿⡿⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠼⠽⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⠁⠀⢸⣿⣿⣿⠿⣿⣷⣾⣾⣿⣿
⠀⠀⠀⠐⠂⠀⠐⠓⠈⠛⠳⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠈⠙⠻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠉⠉⠀⠉⠈⠙⠛⠀⠙⠛⠻⠿⠿⠿
⢀⡀⢰⡇⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⡇⠀⠀⠀⠈⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠤⠶
⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⣿⣶⣧⣴⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣶⣾⣿⣿⣿⣿⡇⠀⠀⠀⠙⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣾⣿⣿⣧⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⣶⠒⠒⠒⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠐⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣺⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠷⠶⠶⠶⠾⠿⠿⠗⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠐⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⣿⠛⠛⠒⣿⠓⠒⠒⠒⠒⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⡏⠀⠀⢀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣠⡤⣀⣤⣤⣤⣤⣤⣤⢄⡢⠤⣤⣄⣀⣀⣠⣤⢍⣉⣉⣉⠋⣀⣘⣿⣿⣿⣿⣿⣶⣶⣤⣤⣤⣤⣿⣿⣛⣛⣛⠃⢛⣛⠉⢀⡀⠀⢀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⣤⣠⣤⣿⣄⣤⣤⣤⣄⣤⣤⣤⣤
⠙⢺⢸⢿⢠⡿⡇⣿⢁⣿⣹⡄⢸⠻⣄⣿⠀⢸⡇⠀⣿⣿⣇⣠⡽⢸⡏⣠⡜⣷⣿⣿⣿⢹⡇⠀⣿⠀⢸⣇⣾⣁⣤⣭⡀⣾⣹⣆⢸⡇⠀⠀⠀⢸⣇⣀⡀⣾⣹⡆⢸⠋⢸⣿⣿⣷⡇⣿⡿⠧⣬⡁⠛⣀⡿⠈⣿⣿
⣛⣚⣻⣸⣿⣀⡿⠇⢼⣉⣉⠿⠸⠄⠙⠿⠀⠸⠇⠈⢿⣿⣷⣴⣿⣿⣷⣤⣼⣋⣿⣬⣿⡼⢇⣀⣿⣀⣸⣿⣽⣿⣿⣿⣿⣿⣿⣿⠸⠧⠤⢄⡀⠸⠇⠀⠼⠋⠉⠻⠜⠷⠤⠿⣻⡀⠇⠙⠺⠦⠤⠟⣀⠭⣀⠀⢻⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠾⠿⠿⡿⡿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠳⠿⠿⠿⠿⠻⠿⠿⠿⠿⠿⠻⠷⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠾⠟⣿⣅⡀⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣴⣶⣶⣿⣿⣿⣿⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠓⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⠉⠉⠀⠀⠀⠹⣿⡟⠛⠂⠀⠀⠀⠀⠀⣀⣀⡀⠀⣀⣀⣀⣀⣀⣀⣀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣤⡀
⣀⠀⢀⠀⠂⠒⠺⡿⠿⢿⣷⣦⠀⠆⠀⠀⠀⠀⠀⠄⠀⠋⢹⣿⣿⣅⣩⣭⢻⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣻⡄⠒⠒⢶⠆⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣮⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣷⣿⣿
⠉⠙⠻⠿⡿⢿⣿⣿⣿⡟⠻⢋⠰⣿⠀⠀⠀⢒⣚⣓⣾⣶⣿⣿⣿⣿⠿⣿⠉⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠘⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠶⢿⠀⣛⣣⠀⠀⠀⠔⠀⠋⠉⠉⠙⠛⠋⢀⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣴⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠘⠋⠉⠉⠉⠉
⠉⠉⠉⠁⢉⠁⠉⠿⠄⣹⣦⠀⠀⣬⡿⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢻⣇⣤⣤⣤⣄⠀⣀⡀⠀⠛⠻⠿⠿⠿⠿⠟⢿⣿⣿⣿⣿⣿⣿⡿⠷⠀⢄⠀⠀⠀⢀
⣤⡄⠀⠀⣻⡁⠀⠀⢨⣧⣄⣰⡐⠀⠀⠀⠀⠀⠀⠘⠀⠒⠖⠒⠒⠒⠀⠀⠈⢻⣿⣿⣿⣿⡟⠛⠛⠻⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⣾⣿⡷⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠿⣿⣻⣛⣛⣻⣻
⣄⡶⣶⣿⣿⣿⣶⣿⣿⣿⣿⣿⣗⠀⠀⠀⡀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⣿⣿⣿⣿⠀⠀⠀⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⣾⡿⡿⠿⠿⠿⠿⠿⣛⣛⣻⣉⣉⣹⣿
⣿⣟⣿⣿⣿⣯⣠⣭⣥⣤⣴⣸⣿⠀⠀⠠⠓⠒⠀⢐⡞⠈⠠⠀⢀⡈⠉⠍⢈⠁⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠶⠿⠿⠿⡿⠿⠿⠿⡧⢤⣼⣿⣿⣿⠤⠄⣤⣤⣤⣤⣾⣶⣶⡶⣶⢲⡶⡖⠿⢿⣿⠉⠉⢹⢿
⠟⠳⣿⠿⠿⠷⠀⠿⠿⣬⣿⣿⣿⠀⠀⠰⠀⣄⣤⣬⣭⡥⠭⠽⠍⠍⠉⣏⢤⠀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠠⠶⠶⢷⠶⠦⠾⠤⠀⠉⠉⢨⣿⠄⠀⣤⣽⣿⡿⢿⢿⣿⣿⢸⣾⣇⡧⡄⠈⣿⠀⠀⣼⣿
⠀⡀⠀⠀⣠⣄⠀⠀⠀⡀⠠⢿⣿⡀⡇⠸⠯⠩⡍⠉⠽⣭⣬⣽⡉⠀⠻⠏⠉⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣾⠛⢺⣿⡀⠀⣉⣭⣿⠒⠀⣾⣿⣿⣿⣿⣿⡇⠛⢿⣿⠶⠶⣿⣿
⠻⡛⣿⣷⡟⢻⣿⣛⣛⣛⣻⣿⣿⣶⣷⣾⣾⣯⣁⣤⢴⡶⠦⠽⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣷⠤⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠟⠻⣼⣿⡁⠈⠀⣿⣿⠀⢀⠻⠛⠉⠻⢾⣿⡇⠶⠾⢿⠗⠾⣿⣿
⠙⡛⣿⣿⣷⡟⣭⣭⡉⠉⣛⣿⣿⣿⣿⣿⣟⠙⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣯⣥⡀⠀⠀⣠⣴⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⢦⣿⣶⣿⣷⣾⣶⣤⣼⣿⡗⠄⣀⣼⠀⠀⣿⣿
⡧⠠⣿⣿⠻⣷⣿⢿⡿⠺⠿⣿⣷⣿⣿⠿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠃⠀⠸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣉⣻⣿⣷⢸⣿⣿
⣶⠄⣿⣿⣷⣼⡯⠀⢠⡤⢀⣈⠉⢸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣧⣄⣶⣆⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣹⣿⣿⣾⣿⣿
⣿⣶⣾⣿⣿⣿⣷⡖⣠⣠⣻⣧⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠁⠉⣽⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣯⣿⠏⠉⣹⣏⢻
⣿⣿⣿⣿⡿⢷⣿⣧⣻⣿⣯⡄⠐⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡗⠲⢶⠇⣽⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⠿⢿⠿⠿⢿⠏⢠⠈⠟⠀⠀⣸⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣋⠈⢛⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠱⣼⣻⢻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣧⠀⠀⠀⠀⣀⢀⣤⠄⢀⣀⣤⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡟⠉⠉⢭⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣀⣀⡉⣷⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣶⠄⣀⣿⠛⠋⠉⠄⠀⢽⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠋⣷⣺⣿⣹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣯⣉⣷⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠘⠁⠚⠻⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡿⠁⠈⠻⠿⠿⠿⢿⡿⠿⠿⠿⠿⠿
⠛⠛⠛⣿⣿⡿⠿⣾⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⠀⠀⠀⠀⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡟⠁⠀⢸⣿⣾⣿⠿⣿⣷⣾⣾⣿⣿
⠀⠀⠀⠐⠂⠀⠀⠓⠈⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠤⣀⣀⣀⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠁⠉⠈⠉⠈⠙⠛⠀⠙⠛⠻⠿⠿⠿
⢀⣀⢸⡇⠀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⠈⢉⡙⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠤⠾
⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣯⠀⠈⠁⠈⢁⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⡀⠀⠀⢠⣿⣿⣿⣿⡇⠀⠀⠀⠀⣹⣿⣿⣴⣶⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⣿⣿⣿⣿⡀⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠷⣿⣿⣿⣿⣿⣿⣦⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠒⠒⠒⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠂⠠⠂⠀⠀⠀⠀⠀⠀⠀⠀⢴⣿⣿⣿⣿⣿⣿⣿⡷⠀⣼⣿⣿⣿⣿⡇⠀⠀⢀⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠾⠿⠷⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⡿⠃⢰⣿⣿⣿⣿⣿⡇⠄⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⣿⠛⠛⠒⣿⠛⠛⠒⠒⠒⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⡿⠟⠀⢸⣿⣿⣿⣿⣿⡇⣟⠃⢰⣿⣿⣿⣿⣿⣿⣿⣿⡿⢰⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣀⡤⣠⣤⣤⣤⣄⣠⢤⢌⡣⠤⣄⣀⣀⣈⣉⠉⠉⣈⣀⣀⠠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣥⣬⣿⣿⣿⣯⣝⣉⣋⠀⢀⣈⠀⢀⡀⠀⢠⡤⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⣤⣤⣤⣿⣄⣤⣤⣤⣄⣤⣤⣤⣤
⠙⢹⢰⢿⢠⡿⡇⣿⢁⣿⣹⡄⢸⠻⣄⣿⠀⢸⡇⡀⡀⠀⣇⣠⡼⢸⡏⣿⣿⣿⣿⣿⣿⢹⡇⠀⣿⠠⣽⡟⣾⠣⠤⠍⠀⣾⣹⡆⢸⡇⠀⠀⠀⢸⣇⣀⡀⣾⣹⡆⢸⠋⢸⣿⣿⣷⡇⣿⡿⠧⣬⡁⠛⣀⡿⠘⣿⣿
⢓⣚⣛⣸⣿⣀⠿⠇⠼⠉⠉⠷⠸⠄⠙⠿⠀⣾⣷⣿⣿⣾⣧⣴⣤⣈⠳⢽⣿⣿⣿⣿⡥⠼⣇⣀⣿⣴⣾⣷⣙⡦⠤⣞⣼⡋⣽⣿⣼⠧⠤⠄⣀⠸⠇⠀⠼⠋⠉⠻⠜⠷⠤⠾⢫⡁⠇⠉⠺⠦⠤⠟⡀⠭⣀⠀⢻⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠶⠲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣷⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣶⠆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣋⣭⣽⣿⣿⣶⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⠉⠉⠀⠀⠀⠹⣿⡟⠛⠢⠀⠀⠀⠀⠀⣀⣀⣀⢀⢀⣀⣀⣄⣀⢠⣄⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⡀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣀⣀⣀⣤⡄
⣀⠀⢀⠀⠂⠒⠺⣿⠿⢿⣷⣶⠀⠆⠀⠀⠀⠀⢨⠄⠁⠛⢻⣿⣿⣅⣭⣭⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠒⠖⢶⠆⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣷⣿⣿
⠉⠙⠻⠿⣿⢿⣿⣿⣿⡟⠻⢋⠰⣿⠀⠀⠀⣒⣚⣓⣿⣿⣿⣿⣿⣿⠿⣿⠻⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠙⠉⠡⠶⣿⠀⣛⣡⠀⠀⠐⠔⠈⠋⠉⠙⠙⠛⠋⢀⡦⢴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⠛⠛⠉⠉⠉⠉
⠉⠉⠉⠁⢉⠁⠉⠿⠌⣻⣦⠄⠀⣬⡿⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⢻⣇⣤⣤⣤⣄⠀⣀⡀⠀⠻⠿⠿⠿⠿⠿⠟⣻⣿⣿⣿⣿⣿⣿⣿⠿⠀⣄⠀⠀⠀⣀
⣤⡄⠀⠀⣿⡁⠁⠀⢨⣧⣄⣰⡐⠀⠀⠀⠀⠀⠀⠈⠀⠒⠖⠒⠒⠒⠀⠀⠸⣿⣿⣿⣿⣿⡿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⣾⣿⡷⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣛⣛⣛⣻⣻
⣤⣶⣶⣾⣿⣿⣶⣿⣿⣿⣿⣿⣗⠀⠀⠀⡀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣷⣶⣶⣾⣿⣿⣿⣿⣿⠟⢛⠛⣿⣿⣿⣿⠀⠀⠀⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⣾⡿⡿⠿⠿⠿⠿⠿⣛⣛⣻⣉⣉⣹⣿
⣿⣟⣿⣿⣿⣿⣤⣭⣥⣤⣶⣾⣿⠀⠀⠠⠓⢒⠂⢐⡾⠉⠤⠤⢀⡀⠉⠅⢉⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠶⠿⠿⢿⡿⠿⠿⠿⡧⢤⣽⣿⣿⣿⠤⠄⣤⣤⣤⣦⣾⣶⣶⣶⣶⢶⡶⡶⠿⢿⣿⠉⠉⢹⣿
⠟⠻⣿⠿⠿⠷⠀⠿⠿⣬⣿⣿⣿⠀⡄⠸⠀⣤⣨⣬⣭⡭⠭⠽⠭⠉⠉⣟⣏⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠠⠶⠶⠷⠶⠦⠾⠤⠀⠛⠋⢩⣿⠄⠀⣬⣭⣿⡿⢿⢿⣿⣿⣻⣾⣧⣧⡄⠈⣿⠀⠀⣿⣿
⠀⣀⠀⠀⣠⣄⠀⠀⠀⡀⠠⣿⣿⡀⡇⠸⠏⠩⡍⠙⠿⣭⣬⣭⣍⠀⠿⠏⠿⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣾⠛⢺⣿⡀⠀⣉⣭⣿⠓⠀⣿⣿⣿⣿⣿⣿⡇⠛⢿⣿⠶⠶⣿⣿
⢻⡛⣿⣷⡟⢻⣿⣛⣛⣛⣻⣿⣿⣷⣷⣶⣾⣭⣁⣤⣬⣾⡿⠽⠃⠀⠀⠀⠘⠀⣿⣿⣿⣿⣿⣯⣭⣽⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠟⠻⣼⣿⡁⠈⠁⣿⣿⠀⣰⠿⠛⠉⠻⢿⣿⡷⠶⠶⢿⠷⠿⣿⣿
⠙⡛⣿⣿⣷⡟⣭⣭⣉⠉⣛⣿⣿⣿⣿⣿⡟⠉⠉⠈⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⣟⣏⠉⠉⠀⢉⣭⣽⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠈⠁⠀⠀⣥⣿⣴⣿⣷⣷⣶⣴⣼⣿⡗⠄⣀⣽⠀⠀⣿⣿
⡧⠤⣿⣿⠻⣷⣿⣿⡿⢻⣿⣿⣷⣾⣿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠇⠀⠰⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡇⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣛⣻⣿⣧⢨⣿⣿
⣶⠄⣿⣿⣷⣼⣿⣿⣿⣼⣿⣿⠋⣼⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣧⣤⣴⡄⢿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⡁⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣽⣿⣿⣾⣿⣿
⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡏⠘⢋⢙⣻⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⠏⠉⣹⣟⣛
⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡷⡶⢾⡿⣹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠘⣿⣿⣿⣿⠿⢿⠿⠿⢿⠏⢠⠙⠿⠀⠀⣸⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡷⣦⣤⣿⢺⣿⣿⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠸⣿⣿⣇⠀⠀⠀⠀⣀⢀⣤⠄⢀⣀⣤⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣁⣹⢋⣿⣻⣿⡇⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣯⣀⠀⠀⠀⠀⠙⢿⣿⣷⠤⣤⣿⡛⠋⠙⠄⠀⢹⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⢿⡿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣯⣉⣽⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠿⡋⠿⢿⣻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⡿⡿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠙⠻⠀⠈⠻⠿⠿⠿⢿⡿⠿⠿⠿⠿⠿
⠛⠛⠛⣿⣿⡿⠷⠾⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠻⣿⣷⣾⣾⣿⣿
⠀⠀⠀⠐⠒⠀⠀⠀⢿⣿⡿⠉⠙⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣤⣄⣀⣀⣼⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠛⠀⠙⠻⠿⠿⠿⠿
⢀⡀⢸⡇⠀⠀⠀⠀⠘⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⢙⢛⢹⢟⣆⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣝⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠤⠾
⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣏⡀⠀⠉⢺⡏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡏⠿⠀⠀⠠⣟⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠄⠀⠀⠀⠀⠀⠀⢠⡶⠶⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⡇⠀⠀⠀⢀⣻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠓⣶⠒⠒⠒⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠃⠄⠀⠀⠈⠋⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠾⠾⠷⠿⠾⠿⠿⣿⠿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⢠⣀⢀⠄⣤⣷⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⣿⠛⠛⠒⣿⠛⠛⠒⠒⠒⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⠨⡷⢿⣿⣽⣾⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣠⣤⣀⣤⣤⣤⢄⣠⣤⢄⡣⣴⣤⣤⣀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣼⣿⣦⣤⣼⣿⣿⣿⣿⣷⣶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⣤⣤⣤⣿⣄⣤⣤⣤⣤⣤⣤⣤⣤
⠙⢺⢸⢿⢠⡿⡇⣿⢁⣿⣹⡅⢸⠻⣄⣿⠀⢸⡇⠀⠉⠈⣇⣠⡽⢸⡏⢾⣿⣿⣿⣿⣿⢹⡇⠀⣿⠈⣿⣿⣿⠁⠉⠉⠉⣾⣹⡆⢸⡇⠉⠉⠁⢸⣇⣀⡀⣾⣹⡎⢸⠋⣾⣿⣿⣷⡇⣿⡿⠧⣬⡁⠛⣀⡿⠘⣿⣿
⢓⣚⣛⣸⣿⣁⡿⠇⠼⢉⣉⡿⠸⣆⣙⣿⣀⡸⠇⢀⣀⠀⠇⢀⣀⡈⠳⠤⣿⣿⣿⣿⠥⡼⣇⣀⣿⣀⣿⣿⡝⠧⠤⠞⠼⠋⠉⠻⠸⠧⠤⠄⠀⠸⠇⠀⠼⠋⠉⠻⠜⠷⠤⠾⣫⡉⠇⠉⠺⠦⠤⢟⡀⠭⣀⠀⢿⣿
⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⢿⣿⣿⡿⢿⣿⣿⡿⠿⠿⠿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⡿⠟⠿⠷⠶⠒⠻⠿⠿⠿⠿⠿⠿⠿⠿⠻⠶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣷⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣠⣤⡤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⣋⣤⣼⣿⣿⣦⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⠉⠉⠀⠀⠀⠹⣿⣿⣿⣿⣿⠀⠀⠀⠀⣀⣀⣀⠀⣀⣄⣀⣠⣀⠠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⡀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠐⠆⠀⠀⢠⣾⣿⣷⣦⣀⠀⠀⣀⢀⠀⠀⠀⠀⢀⡀⡠⡀⣤⡄
⣀⠀⢀⠀⠂⠒⠺⡿⢿⣿⣿⣿⠛⠆⠀⠀⠀⠀⢨⠄⠈⠊⢹⣿⣷⣬⣬⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠒⠖⢶⠆⠀⠄⠀⠀⠀⠀⠀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿
⠉⠙⠻⠿⣿⢿⣿⣿⣿⣿⣿⣿⢰⣿⠀⠀⠀⣒⣚⣳⣾⣿⣿⣿⣿⣿⠿⡟⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠈⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠁⢛⣿⣿⣿⣿⣰⣿⣷⠄⠀⠀⠔⠊⡋⠉⠉⠙⠛⠋⢀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣴⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⢿⢻⣿⣿⠯⠙⠛⠉⠉⠉⠉
⠉⠉⠉⠁⢉⠁⠀⣿⣿⣿⣿⣇⣿⣿⣿⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠓⢻⣗⣤⣤⣤⣄⠀⣀⡀⠀⠟⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⡿⠿⠀⣄⠀⠀⠀⣀
⣤⡄⠀⠀⣿⡉⠁⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠘⠀⠒⠶⠒⠒⠒⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡷⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣻⣛⣛⣻⣿
⣤⣶⣾⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣶⣶⣶⣾⣿⣿⣿⣿⣿⡷⠝⠛⠛⣿⣿⣿⣿⠀⠀⠀⣾⣿⡿⠀⢸⣿⣿⣿⣿⣿⣿⢿⡿⠿⠿⠿⠿⠿⣛⣛⣿⣉⣉⣹⣿
⣿⣿⣿⣿⣿⣯⣤⣭⣿⣿⣿⣿⣿⣿⡇⢠⢻⣛⡀⢐⡾⠙⠧⠄⢠⡈⠩⠍⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠰⠿⠿⢿⡿⠿⠿⠿⠧⢤⣿⣿⣿⣿⢼⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⡶⡶⠿⢿⣿⠉⠉⢻⢿
⠟⠻⣿⠿⠿⠿⢤⣿⣿⣿⣿⣿⣿⠋⠀⠸⠠⣬⣬⣭⣭⡭⢭⠽⠭⠍⠉⣯⣥⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠁⠀⠠⠶⠶⢷⠶⠦⢾⠤⠀⠛⠋⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢿⣿⣧⣧⡄⣘⣿⠀⠀⣾⣿
⠀⣀⠀⠀⣤⣄⣿⣿⣿⣿⣿⣿⣿⡄⡇⠸⠏⢫⡍⠙⠿⣭⣬⣽⣍⠈⠻⣯⠏⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⡾⠛⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠛⢿⣿⠶⠶⣿⣿
⢻⡛⣿⡿⠋⣹⣿⣿⣿⣿⣿⣿⣿⣶⣷⣾⣾⣭⣥⣤⣴⣾⡿⠿⠂⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠉⠻⢿⣿⡷⠶⠾⢿⠷⠿⣿⣿
⠙⣛⣯⠀⠰⣿⣿⣿⠿⠿⠋⠉⣿⣿⣿⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣏⡉⠉⠀⢈⣵⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠇⠹⠿⣿⣿⣿⣿⣿⡇⢰⣶⣼⣿⡗⡤⣀⣽⠀⠀⣿⣿
⡧⠤⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠇⠀⠰⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠛⠁⢸⣿⣿⣿⣧⣛⣻⣿⣧⢸⣿⣿
⣷⠔⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣤⣰⣆⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣭⣽⣿⣿⣾⣿⣿
⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣯⠁⠉⣹⣾⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣯⣿⠏⠉⣽⣟⣻
⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⡾⣯⡿⣸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠏⢠⠙⠿⠀⠀⣸⣿⣿
⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠖⣷⣿⣾⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠄⢀⣀⣤⣿⣿⣿
⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡀⠉⣻⣇⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡛⠙⠄⠀⢽⣿⣿⣿⣿
⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣟⢿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⡿⠸⠋⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⠿⢿⡿⠿⠿⠿⠿⠿
⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠶⠾⠿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠙⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⠿⣿⣷⣾⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠲⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣷⣿⣷⣶⣄⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠂⠀⠀⠈⠉⠉⠙⠛⠀⠙⠻⠿⠿⠿⠿
⢀⣀⣰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡇⠹⢿⣿⢿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠦⠾
⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⡇⡄⠉⠙⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠛⠀⠀⢈⣻⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⢶⡶⠶⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⡇⠀⠀⠀⠸⢿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠛⣶⠒⠒⠒⠒⠒⠂⠒⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠐⠢⠄⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣧⠀⠀⠀⣀⣶⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠾⠶⠶⠷⠶⠾⠶⠿⠿⠿⠿⠿⠿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⡏⣤⡫⣤⣮⢷⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⣿⠛⠛⠓⣿⠛⠛⠒⠒⠒⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⡷⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣠⣤⣠⣤⣤⣤⢤⣤⣤⢄⡫⣤⣤⣤⣀⣀⣤⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣭⣽⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣧⣤⣤⣤⣤⣿⣤⣤⣤⣿⣄⣤⣤⣤⣤⣤⣤⣤⣤
⠙⢻⢸⢿⢠⡿⡇⣿⢁⣿⣹⡍⢸⠻⣄⣿⠀⢸⡇⠀⠉⠉⣇⣠⡽⢸⣿⣿⣿⣿⣿⣿⣿⢹⡇⠀⣿⠨⣿⣿⣿⣿⣿⡟⠉⣿⣹⡎⢸⡇⠉⠉⠁⢸⣆⣀⡀⣾⣹⡎⢸⠋⣿⣿⣿⣷⡇⣿⡿⠧⣬⡁⠛⣀⡿⢘⣿⣿
⣛⣚⣛⣺⣿⣀⠿⠇⢼⣉⣉⣿⢸⣆⣙⠿⣀⡸⠇⢀⡀⠀⠇⣀⣀⣈⣿⣿⣿⣿⣿⣿⡥⡼⣇⣀⣿⣀⣿⣿⣿⣿⡯⠞⠼⠋⠉⠻⠸⠧⠤⠄⠀⠸⠇⠀⠼⠋⠉⠻⠜⠷⠬⠾⢻⡁⠇⠉⠺⠤⠤⢟⡀⠭⣀⡀⢻⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⡿⠿⢿⡿⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⢿⠷⠶⠖⠻⠿⠿⠿⠿⢿⠿⠿⠿⠻⢷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⠉⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣀⣀⣈⣀⣀⣀⣠⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠓⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠉⠉⠀⠀⠀⠸⣿⡟⠛⠂⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⢀⠀⢀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣾⡄⡀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠐⠆⣠⣶⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀
⣀⠀⠀⠀⠂⠐⠺⠿⠿⢿⣷⣦⣀⣦⣀⡀⠀⠀⠈⠀⠀⠀⢸⣿⣥⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠘⠻⠍⠁⠀⠀⠒⠒⢶⠆⠀⠄⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣧⣶⣿⣿⣶⣿⣶⣦⣾⣿⣾⣷⣾⣶⣿⣿
⠉⠙⠻⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⢒⣚⡒⣶⣶⣾⣿⣿⡯⢽⣯⣭⣙⢛⣿⣛⣉⣭⣿⣿⣛⡛⡃⠀⢀⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣻⣿⣿⣿⣿⣿⠟⣿⡿⡟⢻⡛⣻⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠙⢹⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠋⠉⠉⠙⠛⠃⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣷⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⡏⠭⠠⠀⠀⠠⠀⠄⠀⠅⠘⠋⠉⠉⠁⠉
⠉⠉⠁⠀⢉⠁⠀⠶⢿⣿⣿⣿⣇⣾⣿⡿⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠓⠛⠃⢻⣇⣤⣤⣤⣄⠀⢀⡀⢀⣿⣿⣿⣿⣿⣿⠃⢸⠈⠀⠀⣀⣐⠎⠒⠇⠀⠀⠀⠀⠀⠀
⣤⡄⠀⠀⢻⠁⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠈⠀⠒⠒⠒⠒⠂⠀⣿⣿⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡿⢿⣿⣿⣿⣿⣷⣦⢼⣿⣾⣿⣿⣿⣿⣷⠿⢿⣛⣛⣛⣛⣻
⡀⠰⣶⣾⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣉⣉⣉⣿⣿⣿⣿⣿⣿⣿⣿⣷⡆⠚⠛⠋⣿⣿⣿⣿⠀⠀⠀⣸⣿⣷⣼⣿⣿⣿⣿⣿⣿⣿⠿⡿⠿⠿⠿⠿⠿⣛⣛⣻⣉⣉⣹⣿
⡧⠆⣿⣭⣿⣍⣤⣭⣿⣿⣿⣿⣿⣿⠟⠀⠐⢐⠀⠀⡂⠀⠀⠀⢀⡀⠀⠘⣿⣿⣿⣻⣛⣿⣿⣿⣿⣿⣿⣿⣿⡟⠟⠠⠿⠿⢿⡿⠿⠿⠿⠧⢤⣼⣿⣮⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡶⣶⢲⡶⡖⠿⢿⣽⠉⠉⢹⢿
⠗⠒⢾⠿⠿⠖⢀⣿⣿⣿⣿⣿⣿⡇⡀⠠⠀⣤⣠⣤⣤⠥⠤⠽⠈⠉⠉⠉⠙⣟⢻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠤⠶⠧⠶⠦⠾⠤⠀⠉⠉⠈⣿⠹⣿⣿⣿⣿⣿⣿⣇⠈⠁⢼⢼⣇⡇⠀⠈⣿⠀⠀⣼⣽
⠀⡀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⠀⡆⠐⠄⠩⠍⠉⠭⢍⡌⡽⠁⠀⠹⠧⠀⣿⣿⣾⣭⣭⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⠀⠉⠉⠉⠛⠛⠋⠉⠀⠀⢻⢺⣇⡇⠂⠶⣿⠶⠶⣿⣿
⠻⡛⣿⡆⠀⠀⠉⠉⠉⠉⠉⠉⢹⣶⣷⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⣟⠋⠁⠀⠉⣩⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢺⣿⡇⠶⠶⢿⠗⠾⣿⣿
⠘⠛⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⠇⠀⠠⣾⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣷⡇⠄⢀⣼⠀⠀⢻⣿
⡦⠠⠾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣀⢀⡄⢹⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣇⣉⣙⣿⣦⢐⣿⣿
⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⡏⠁⠉⠐⢸⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣭⣹⣿⣿⣼⣿⣿
⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣧⠰⠬⠾⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣭⣿⠏⠉⢹⡉⢛
⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⠴⠀⠰⠈⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠈⠟⠀⠀⣸⣿⣿
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡟⠀⠀⢡⠂⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢀⣀⣠⣾⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣷⠄⠀⠠⡂⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡟⠃⠀⠀⠠⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠁⢿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠿⠻⡿⠿⠻⠿⠿⠿
⠒⠀⠀⢀⠀⠀⠀⢀⣤⣶⡶⠿⠿⠟⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⡿⠆⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡖⠀⠀⠰⣶⣿⣿⠻⣿⣷⢾⣾⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⢇⡄⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠉⠁⠀⠀⠀⠈⠙⠛⠀⠙⠛⠺⠿⠿⠿
⢀⡀⢐⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠫⢼⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠴
⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢼⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⢶⡶⠶⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠛⠓⣶⠒⠒⠒⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢠⢻⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠾⡟⠂⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠘⢸⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⣿⠛⠛⠒⣿⠒⠒⠒⠒⠂⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⢀⣲⣄⣀⣠⣼⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡇⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣀⡤⣀⢤⣤⣤⢄⣠⣤⢄⡠⣤⣤⣤⣀⣀⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣿⣧⣤⣤⣬⣿⣿⣿⣿⣿⣿⣿⣧⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣧⣤⣤⣤⣤⣿⣤⣤⣤⣿⣄⣤⣤⣤⣀⣤⣤⣤⣤
⠉⢸⢠⢿⢠⡿⡇⣿⢁⣟⣹⡄⢸⠻⣄⣿⠀⢸⡇⠀⠉⠀⣇⣼⣿⣿⣿⣿⣿⣿⣿⡿⡿⢹⡇⠀⣿⢠⣿⣿⣿⣿⣿⣿⣏⣾⣹⡎⢸⡇⠉⠉⠁⢸⣇⣀⡀⣾⣹⡆⢸⠋⣶⣿⣿⡆⡇⣾⡽⠧⣬⡁⠛⣀⡽⠈⣿⣿
⢓⡘⣚⣸⣿⣀⠿⠇⠼⣉⣉⡷⠸⣄⡙⠿⠀⠸⠇⠀⠀⠀⠇⣾⣿⣿⣿⣿⣿⣿⣿⡥⠤⠸⢇⣀⠿⣸⣿⣿⣿⣯⣿⣿⣿⠋⠉⠻⠸⠧⠤⠄⠀⠸⠇⠀⠼⠋⠉⠻⠜⠷⠤⠾⢋⡀⠇⠈⠺⠤⠤⠟⡀⠭⣀⠀⠑⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠿⡿⣿⠿⠿⠟⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠓⠒⠒⠒⠛⠓⠛⠛⠻⠿⠟⠟⠺⠲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⡐⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠁⠀⠀⠀⠀⠀⠀⠠⠞⠁⠉⠉⠤⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠓⠂⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣤⣤⣤⣤⣤⣤⣤⡄⠈⠁⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠉⠉⠀⠀⠀⠸⣿⡟⠛⠂⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣀⡀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡀
⣀⠀⠀⠀⠂⠐⠺⢿⠿⢿⣷⣦⠀⠆⠀⠀⠀⠈⠁⠄⠀⠁⢘⣿⣍⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠀⠀⠀⠀⠒⠒⢶⠆⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⣿⣿⣿⣷⣴⣾⣿⣿⣷⣿⣶⣿⣿
⠉⠙⠻⠿⢿⢿⣿⣿⣿⡿⠿⢯⢰⣾⠀⠀⠀⢒⣚⣓⣾⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠙⠇⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣠⣤⣴⣾⣿⣿⡿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠙⠛⠱⠶⣿⢀⡙⢠⠀⠀⠀⠔⠀⠋⠉⠉⠉⠛⣯⣬⡍⣿⢟⣉⣉⣭⣿⠿⢿⢟⣃⡀⣠⣴⣾⣧⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣿⣿⣿⣿⣿⣿⣃⠋⣩⣏⣹⣟⢥⢯⡱⢤⢄⢾⠅⠘⠛⠉⠉⠉⠉
⠉⠉⠉⠀⢉⠁⠀⠷⠀⢠⣤⠀⠀⣽⣿⠀⠀⠀⠀⣠⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⡏⠐⠛⠓⢻⣃⣤⣄⣰⣿⣿⣿⣿⣿⣿⣿⣿⠿⠠⠼⠧⢡⡂⡆⢁⣒⣢⣽⠽⠓⠀⢄⠀⠀⠀⡀
⣤⡄⠀⠀⣻⠉⠀⠀⢨⣇⣠⣴⣾⣇⣴⡄⠀⠀⠀⠈⠀⠒⠒⠖⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠿⢿⣻⣛⣛⣻⣿
⡀⠴⣶⣾⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠐⠂⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡆⠚⠛⠛⢿⣟⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⢹⡿⣿⠿⠿⠿⠿⠿⣛⣛⣻⣉⣉⣹⣿
⣯⢏⣿⣿⣿⣭⣤⣍⣹⣿⣿⣿⣿⣿⣿⣿⣿⠒⠀⠀⡖⠁⠀⠀⢀⡀⠸⣟⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠠⠿⠯⢿⡿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣤⣤⣿⣶⣶⡶⣶⣲⡶⡖⠿⢿⣿⠉⠉⢹⢿
⠗⠒⢿⠿⠿⠧⠄⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣠⣨⣭⠥⠭⠽⠈⠉⠉⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠠⠦⠶⡧⠶⠤⠴⢿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⡿⠿⢿⣿⡟⣿⢼⣧⡇⠄⠈⣿⠀⠀⣼⣿
⠀⡀⠀⠀⢠⡄⠀⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⡨⠍⠭⠽⣉⡬⡭⠉⠀⠽⠊⢻⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠀⣸⣿⣿⣿⢿⣿⡇⠓⠿⣿⠶⠶⣿⣿
⢻⡛⣷⣶⡿⢿⣿⣛⡿⣿⣿⣿⣿⣿⣿⣿⠛⠀⠁⠉⠈⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣭⡭⠿⠿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⡻⠀⠀⠟⠛⠉⠙⢸⣿⡧⠶⠾⢿⠷⠾⣿⣿
⠘⠛⣻⣯⣧⠊⣭⣍⣹⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣫⣥⠀⠀⠀⣠⣾⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣿⣿⣿⣿⣿⣿⣿⠁⢰⣿⣷⣶⣦⣄⣤⣿⡇⠄⢀⣼⠀⠀⣿⣿
⡧⠠⣾⠋⠻⣇⣿⢿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⡿⠀⠀⠼⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠛⠛⠁⠀⠈⣿⣿⣿⣿⣿⣿⣿⣇⣉⣹⣿⣧⢸⣿⣿
⣷⠀⣾⣿⣦⣌⠀⠀⣿⣿⣿⣿⡿⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣷⢆⡴⡀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣭⣹⣿⣿⣼⣿⣿
⣿⣶⣾⣿⣿⡿⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⢠⢡⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠿⠿⢿⣿⣿⣭⣿⠏⠉⢹⡉⢛
⣿⣿⣿⣿⡿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⡇⠛⡛⡻⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠹⠿⢿⠏⢠⠈⠟⠀⠀⣸⣿⣿
⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠋⣳⠟⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠄⢀⣀⣤⣾⣿⣿
⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⡇⠄⠀⡑⣼⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠙⠀⠈⢹⣿⣿⣿⣿
⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡇⣤⡀⠾⢻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣯⣉⣽⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡇⠀⠁⠀⠙⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠻⠿⠿⡿⠿⠻⠿⠿⠿
⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣿⠻⣿⣶⣾⣾⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡗⠏⣶⣤⠀⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠀⠙⠛⠻⠿⠿⠿
⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠉⠹⢂⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠾
⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⢶⡶⠶⠂⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠛⠓⣶⠒⠒⠒⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⡇⠆⡀⠀⠐⠂⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠾⠶⠶⠶⠶⢾⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇⡀⡁⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⣿⠛⠓⠒⣿⠓⠒⠒⠒⠒⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⠿⠿⢿⣿⣿⠗⠳⠿⢶⢒⠂⠻⠿⣿⡿⢿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣥⣤⣤⣤⣤⣤⣤⣾⠛⠻⡷⢹⣿⢟⣻⣷⣙⣿⢟⡛⣷⡌⣴⣟⡛⢿⠌⣿⡇⣿⣷⣿⡟⠛⠫⣤⡄⣿⡞⡛⣿⡟⡃⣿⢦⣼⣧⣤⣤⣤⣤⣿⣦⣤⣤⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤
⠉⢸⢻⡿⢿⡿⣿⣿⣿⢿⣿⣿⡿⢿⠏⠉⠉⠉⠉⢸⣷⣐⣛⣿⠸⣿⣸⣿⣿⠟⣿⣌⣃⣿⡇⣿⣄⣛⣿⡇⣿⣇⣿⠿⣿⡟⠛⠃⠈⠁⣿⡇⠁⣿⡆⠁⣿⠀⠉⠉⠉⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣻⣿⢛⣿⣿
⢓⣘⣛⣿⣃⣘⣛⣛⣛⣉⣝⣻⣇⣴⣦⣄⣀⣀⡀⢀⠉⢛⡛⢉⣴⣯⣿⣿⣵⣿⣮⣝⣛⣉⣼⣬⣙⣻⣯⣥⣝⣻⣿⣏⡙⣛⣛⠋⠀⠀⠛⠁⠀⠛⠁⠀⠙⠀⠀⠀⠀⢀⣛⢛⣿⣿⣛⠛⣻⣿⣿⣂⣀⣚⣷⠀⢻⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠿⡿⣿⡿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⠿⠻⠿⠟⠟⠻⠿⠿⠿⠿⠿⠟⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣷⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⡀⠆⠂⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⠉⠉⠀⠀⠀⠸⣿⡟⠛⠂⠀⠀⠀⠀⠀⣀⣀⡀⠀⢀⣀⣀⣠⣾⣿⣾⣿⣿⣿⣿⣿⣷⣶⣶⣦⡴⠶⠖⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⠀⠀⠀⡀⣀⡀⡀⡀⣤⣄
⣀⠀⠀⠀⠂⠐⠻⠿⠿⢿⣷⣦⠀⠦⠀⠀⠀⠀⢩⠄⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢠⡀⠀⠀⠀⠀⠀⠀⠀⠒⠖⢶⠆⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢸⣾⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿
⠉⠙⠻⠿⣿⢿⣿⣿⣿⡿⠿⣯⢰⣿⠁⠀⠀⣒⣚⣓⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠙⠛⠱⠶⣿⢌⡙⣤⠀⠀⠀⠔⠊⠋⠉⢙⣛⣍⠙⣿⡟⢛⣛⣿⣿⣿⣿⣿⡟⠻⠿⢿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡻⣻⣿⣻⣿⣿⣿⣟⡯⣫⣿⣻⢝⠙⠛⠉⠉⠉⠉
⠉⠉⠉⠁⢉⠁⠀⠿⠀⢠⣤⠀⠀⣽⡿⠀⠀⠀⠀⣠⠀⠀⣿⣽⣿⣷⣿⣿⣿⣿⣯⣭⣭⣭⣿⣅⣀⣀⣨⣿⣧⠀⠀⠐⠛⠓⢻⣗⣤⣄⣠⡀⠀⢀⡀⠀⠾⠋⢿⡿⠏⠿⢍⣻⣵⣽⣏⣹⣿⣿⡿⠷⠀⣄⠀⠀⠀⡀
⣤⡄⠀⠀⣻⡉⠀⠀⢨⣇⣀⣰⡄⠀⠀⠀⠀⠀⠀⠘⠀⠒⠿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣾⣿⡷⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠿⢿⣻⣛⣛⣻⣿
⣄⡷⣾⣾⣿⣿⣶⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⢸⠆⠛⠛⠛⣿⣿⣿⣿⠀⠀⠀⣸⣿⣿⡀⠀⠀⠀⠀⠀⠀⢿⡿⣿⠿⠿⠿⠿⠿⣛⣻⣻⣉⣉⣹⣿
⣿⣟⣿⣿⣿⣭⣤⣭⣅⣀⣀⣨⣿⠀⠀⢀⠒⠒⠂⢐⡞⠉⠠⣤⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠿⢟⠠⠿⠯⢿⡿⠿⠿⢿⣧⣤⣼⣿⣷⣿⢤⡄⣤⡤⣤⣤⣿⣶⣶⣶⣶⢶⡶⡶⠿⢿⣿⠉⠉⢹⣿
⠟⠻⣿⠿⠿⠿⠄⢼⣯⣭⣭⣿⣿⠀⡀⢸⣀⣠⣠⣭⣭⠭⢭⢿⠕⣤⣀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠱⠯⠀⠠⠦⠶⣧⠶⡦⠾⠤⠀⠛⠉⢉⣿⠀⢠⣭⣽⣿⡿⠿⢿⣿⣿⣻⢿⣧⡧⡄⠈⣿⠀⠀⣾⣿
⡀⣀⠀⠀⢠⡄⠀⠀⠀⡀⠀⣿⣿⠀⡇⢰⠤⢨⠍⠭⡿⣉⡭⢩⡅⣭⣟⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣴⣾⠛⢾⣿⡀⠀⢩⣿⣿⠂⠀⣸⣿⣿⣿⣿⣿⡇⠛⢿⣿⠶⠶⣿⣿
⢻⡛⣿⣶⡿⢿⣿⣛⡛⠛⣻⣿⣿⣶⣷⣾⣼⣥⠄⡉⡽⠉⠀⠈⠁⠀⠙⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠻⠿⢿⣿⣼⣿⠁⠀⠀⠿⣿⠀⢸⠿⠛⠉⠙⢿⣿⡧⠶⠾⣿⠷⡿⣿⣿
⠘⡛⣻⣭⣵⠊⣭⣍⡉⠙⢛⣻⣿⣿⣿⡿⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣬⡉⢽⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠹⠃⠀⠐⣦⣿⣴⣿⣿⣿⣶⣄⣴⣷⡗⡄⣄⣽⠀⠀⣿⣿
⡧⠤⣾⡋⠻⣇⣿⣿⡿⠻⠿⣿⣧⢹⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣋⣅⠀⠀⠀⢠⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣙⣻⣿⣷⢹⣿⣿
⣷⠀⣾⣿⣦⣼⣧⠀⠀⠤⠀⠈⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⣰⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣹⣿⣿⣾⣿⣿
⣿⣶⣾⣿⣿⣿⣷⡆⣠⣠⣿⣬⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠈⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣾⣾⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣯⣿⠏⠉⣽⣟⣛
⣿⣿⣿⣿⡿⣿⣿⣧⣿⣿⣿⡅⠨⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡇⠀⢀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡿⣿⠿⠿⢿⠏⢠⠘⠟⠀⠀⣸⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡛⠘⠛⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠿⣼⠛⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣇⠀⠀⠀⠀⢀⢀⣤⠄⣀⣀⣤⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡿⠋⠁⣼⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⢾⣦⣾⣼⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣷⠤⠀⣯⠉⠏⠙⠄⠈⢽⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠸⠉⢿⣽⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣯⣉⣽⣽⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⡂⠙⣳⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡿⠁⠈⢿⠿⠻⠿⠿⡿⠿⠿⠿⠿⠿
⠛⠛⠛⣿⣿⡿⠿⣶⣶⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⢠⠄⢨⢹⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⠀⠀⢺⣿⣿⣿⠿⣿⣶⣾⣾⣿⣿
⠀⠀⠀⠀⠄⠀⠀⠶⠈⠋⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠐⠈⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠁⠀⠀⠉⠙⠛⠛⠀⠙⠛⠻⠿⠿⠿
⠀⠀⢰⣆⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣷⠈⢀⢄⣀⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠤⠾
⠈⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⣿⣾⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣶⣿⣦⣼⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠆⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠛⣶⠒⠒⠒⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠾⠶⠶⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⣿⠛⠛⠒⣿⠛⠛⠒⠒⠒⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠙⠿⣿⠟⠻⠿⠿⡿⠿⠿⠿⢿⣿⣿⠷⠂⠘⠛⢿⠿⠿⠿⢿⠿⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣷⣤⣤⣄⡀⠀⢠⣾⠛⠻⡷⢠⣾⢛⡻⣷⣝⣿⢟⡛⣷⡄⣴⠟⠛⢿⠆⣿⡇⣋⡀⣿⡟⠛⠛⣤⡄⣿⡞⡛⣿⡟⣃⣿⢤⣤⣤⣤⣤⣤⣤⣿⣦⣤⣤⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤
⡹⢹⢹⡿⢿⣿⣿⣿⣿⡿⠉⠀⠀⠀⠈⠀⠀⢀⣠⢸⣷⣐⣛⣿⠸⣿⣘⣿⣿⠟⣿⣌⣋⣿⠇⣿⣆⣛⣿⡇⣿⣇⣛⠃⣿⡟⠛⠃⠈⠁⣿⡇⠁⣿⡆⠁⣿⠀⠉⠉⠉⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿
⣛⣘⣻⣿⣯⣙⣻⣟⣿⣅⠀⠀⠀⠀⠀⠀⣀⣼⣿⣷⣍⣛⣻⣭⣴⣬⣟⣋⣵⣿⣮⣙⣛⣩⣼⣬⣝⣛⣉⣥⣙⣛⣿⣃⠙⣛⣛⣛⣀⣀⠛⠁⠀⠛⠁⠀⠙⠀⠀⠀⠀⢀⣙⢻⣿⣿⣿⠛⣻⣿⣿⣃⣐⣻⣿⣈⣻⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⠿⣿⣿⣿⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠐⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠓⠂⠀⠀⠀⠀⢀⣀⣀⣀⣦⣤⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⠉⠉⠀⠀⠀⠸⣿⡟⠛⠂⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠖⠐⠋⠙⠂⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⠀⠀⠀⠀⡀⡀⠀⢀⣤⣄
⣀⠀⠀⠀⠂⠒⠻⢾⠿⢿⣷⣦⠀⠆⠀⠀⠀⠈⢩⠄⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠖⢶⠆⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣷⣿⣿
⠉⠙⠻⠿⣿⢿⣿⣿⣿⡿⠿⢿⢰⣾⠁⠀⠀⢒⣺⣓⣾⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠙⠛⠳⠶⣿⢂⡙⣠⠀⠀⠀⠄⠀⠋⣙⠛⠉⣹⣿⡉⣭⡿⠿⣿⣿⣿⣿⠀⠀⠉⢝⢿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣟⢿⣟⡯⢟⣻⣿⣛⣻⣏⣿⢏⠙⠛⠉⠉⠉⠉
⠉⠉⠉⠁⢉⠁⠀⠿⠀⢠⣤⠀⠀⣽⡿⠀⠀⠀⠀⣠⠀⢿⣯⣿⣿⣿⣿⣾⣷⣿⣷⣾⣿⣿⣦⢤⣴⣶⣿⣿⡄⠀⠀⠐⠛⠓⢻⣗⣤⣄⣠⡀⠀⢀⠀⠀⠞⠋⢿⡟⠋⠛⠋⣿⣻⣷⣯⣿⣿⣿⡿⠗⠀⣄⠀⠀⠀⡀
⣤⡄⠀⠀⣻⠉⠀⠀⢨⣇⣀⣰⡄⠀⠀⠀⠀⠀⠀⠈⠀⠲⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣾⣿⡗⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠿⢿⣻⢛⣛⣻⣻
⣄⡮⣾⣿⣿⣿⣶⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠐⠂⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⣰⡆⠚⠛⠛⢿⣿⣿⣿⠀⠀⠀⣸⣿⣷⠀⠀⠀⠀⠀⠀⠀⢻⡿⣿⠿⠿⠿⠿⠿⣛⣻⣻⣉⣉⣹⣿
⣿⣟⣿⣿⣿⣭⣤⣭⣅⣀⣀⣸⣿⠀⠀⢀⠐⡒⠀⢐⡚⠁⠀⣙⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢟⠠⠿⠯⢿⡿⠿⠿⢿⣧⢤⣼⣿⣶⣿⠤⡄⣤⡤⣤⣤⣿⣶⣶⣶⣶⢲⡶⡶⠿⢿⣿⠉⠉⢹⢿
⠟⠺⣿⠿⠿⠷⠄⢼⣯⡭⣭⣿⣿⠀⡀⢸⡀⣠⣀⣭⣭⠤⠭⢬⠿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠯⠀⠠⠦⠶⣧⠶⠤⠼⠤⠀⠛⠉⢉⣿⠀⠀⣥⣭⣿⡿⠿⢿⣿⡟⣻⢼⣧⣧⡄⠈⣿⠀⠀⣼⣿
⠀⣀⠀⠀⢠⡄⠀⠀⠀⡀⠀⣿⣿⠀⡇⢠⠦⢨⠍⠍⡽⣍⡬⣯⠕⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⢀⡀⢀⡀⣴⣾⠓⢾⣿⡀⠀⢉⣿⣿⠒⠀⣸⣿⣿⣿⢿⣿⡇⠛⠷⣿⠶⠶⣿⣿
⢻⡛⣷⣶⡿⢿⣿⣛⡟⢛⣻⣿⣿⣶⣷⣾⣤⣅⢀⣁⣨⡭⠄⠀⠀⠀⠉⠉⡉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠙⠙⠿⠿⠿⣿⣿⣼⣿⠁⠀⠀⠿⣿⠀⢨⠿⠛⠁⠹⢹⣿⡧⠶⠾⢿⠶⠾⣿⣿
⠘⠛⣻⣭⣵⡊⣭⣍⡉⠙⢛⣻⣽⣿⣿⣿⡟⠿⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⣿⣷⣶⠾⠟⠿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢿⠃⠀⠀⣠⣿⣴⣿⣷⣶⣦⣄⣤⣿⡇⡄⢀⣼⠀⠀⣿⣿
⡦⠠⣾⡋⠻⣇⣿⣿⡿⠻⠿⢿⠃⢸⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣋⣥⡄⠀⠀⢀⣶⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣉⣹⣿⣧⢰⣿⣿
⣷⠀⣾⣿⣦⣬⡇⠀⠀⡄⠀⠈⠀⣼⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠇⠀⠔⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣹⣿⣿⣼⣿⣿
⣿⣶⣾⣿⣿⣿⣷⡆⣠⣠⣻⣤⠀⡫⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡟⠀⠀⠀⢻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢾⣾⣾⣿⣿⣿⣿⣿⡿⢿⢿⣿⣿⣯⣿⠏⠉⣹⡙⢻
⣿⣿⣿⣿⡿⢷⣿⣧⣿⣿⣯⡅⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⠀⠀⡀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡿⢿⠿⠿⢿⠏⢠⠙⠟⠀⠀⣸⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡛⠘⠛⡃⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠸⠦⠉⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣇⠀⠀⠀⠀⢀⢀⣠⠄⢀⣀⣤⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡿⠋⠀⣼⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠘⢦⣬⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣷⠤⠀⣯⠉⠊⠉⠀⠀⢹⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣿⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠈⠹⣧⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣉⣽⣭⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠂⠰⡯⢻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⡿⠁⠈⢻⠿⠻⠿⠿⡿⠿⠻⠿⠿⠿
⠛⠛⠛⣿⣿⡿⠿⣶⣶⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠈⠁⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠀⠀⢸⣿⣿⣿⠻⣿⣷⣾⣾⣿⣿
⠀⠀⠀⠀⠄⠀⠀⠦⠀⠉⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠁⠀⠀⠉⠉⠛⠛⠀⠙⠛⠻⠿⠿⠿
⠀⠀⢰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠰⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠤⠾
⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⠀⠀⠀⠀⢠⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⡆⠀⠀⠀⠀⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠀⠀⠀⠀⠀⠀⠀⢠⣴⣶⣶⣶⣶⣤⡀⢼⣿⣿⣿⣿⡇⠀⠀⣠⣴⣿⣿⣿⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠓⣶⠒⠒⠒⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠐⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠛⣿⠛⠓⠒⣿⠛⠓⠒⠒⠒⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⢻⣿⠿⠿⢿⣿⡡⠖⠀⠸⣿⣿⠿⠿⠿⣿⡿⢿⣿⣿⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⠀⠀⠉⠉⠋⠛⢫⣾⠛⠻⡷⢨⣾⢟⡻⣷⣙⣾⢟⡛⣷⡌⣷⡟⡛⢿⠄⣿⡇⢿⡟⣿⡟⠛⠛⠀⠀⣿⡞⡛⣿⡟⣃⣿⢠⣤⣤⣤⣤⣤⣤⣿⣦⣤⣤⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤
⠙⢸⢹⡿⢿⣿⣿⣿⣿⣿⠉⠁⠀⣼⣶⣿⣿⣄⢠⣸⣷⣐⣛⣿⠸⣿⣘⣿⣿⠟⣿⣌⣋⣿⠇⣿⣄⢛⣿⡇⣿⣇⣛⠃⣿⡟⠛⠃⠀⠀⣿⡇⠁⣿⡆⠁⣿⠀⠉⠉⠉⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⣿⣿⡛⣿⣿
⢛⣘⣻⣿⣃⣘⣛⣟⣛⣅⠀⠀⠐⠛⣿⣿⣿⣿⣿⣷⣭⣛⣛⣩⣄⣭⣟⣫⣵⣿⣌⣙⣛⣉⣼⣮⣝⣛⣭⣥⣝⣛⣿⣧⣝⣛⣛⣛⣀⡀⠛⠀⠀⠛⠁⠀⠙⠀⠀⠀⠀⠀⠘⠻⣿⣿⣛⠛⣻⣿⣿⣂⣐⣛⣷⣈⣹⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⠿⠿⠿⡿⠛⠻⠿⠿⠟⠿⠿⠛⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠓⠂⠀⠀⠀⠀⠀⠀⠀⢀⢀⣐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⠉⠉⠀⠀⠀⠹⣿⡟⠛⠂⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⣀⢠⣾⣷⣾⣿⣿⣿⣿⣿⣶⣶⣤⡤⠤⠶⠤⠤⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⡀⣤⣀
⣀⠀⠀⠀⠂⠐⠺⠶⠿⢿⣷⣦⠀⠆⠀⠀⠀⠁⢉⠄⠀⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠶⢶⠆⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢸⣾⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿
⠋⠛⠻⠿⣿⢿⣿⣿⣿⡿⠿⢯⢰⣶⠀⠀⠀⢒⣚⣓⣾⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠙⠛⠳⠶⣿⢄⡙⣠⠀⠀⠀⠔⠂⠋⣹⣟⠻⣿⡿⠿⢿⣿⣿⣿⣿⣿⡟⠛⠿⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣻⣿⠯⠘⠛⠉⠉⠉⠉
⠉⠉⠉⠀⢉⠁⠀⢿⠀⢠⣤⠀⠀⣽⡿⠀⠀⠀⠀⣀⠀⣿⣦⣶⣿⣷⣦⣭⣭⣭⣿⣿⣿⣇⣀⣀⣈⣿⣿⣧⠀⠀⠀⠐⠛⠓⢻⣗⣤⣄⣠⡀⠀⢀⠀⠀⠛⠿⢿⡟⠋⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⠧⠀⣄⠀⠀⠀⣀
⣤⡄⠀⠀⣻⠉⠀⠀⢠⣇⣀⣰⡀⠀⠀⠀⠀⠀⠀⠘⠀⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⣾⣿⡗⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣻⠛⡛⢻⣻
⣀⡶⣾⣾⣿⣿⣶⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠐⠂⠀⠀⠀⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⣰⡆⠚⠛⠛⣿⣟⣿⣷⠀⠀⠀⣸⣿⣷⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⠿⠿⠿⠿⠿⢛⣛⣻⣉⣉⣹⣿
⣿⣏⣿⣿⣿⣭⣤⣭⣅⣀⣀⣼⣿⠀⠀⢀⠐⠒⡀⢐⡾⠓⢐⣛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⠿⣟⠠⠿⠯⢿⡿⠿⠿⣿⣧⣤⣼⣿⣷⣿⠤⡄⣤⡤⣤⣤⣿⣶⣶⣶⣶⣶⡶⡶⠿⢿⣿⠉⠉⢹⣿
⠗⠳⢿⠿⠿⠿⠄⢼⣯⣭⣭⣿⣿⠀⡀⢸⣄⣄⣀⣭⣭⠥⠭⡍⢳⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠰⠧⠀⠠⠦⠴⣧⠶⡤⠼⡤⠀⠛⠉⢉⣿⠀⠠⣭⣭⣿⡿⠿⢿⣿⣿⣿⢿⣇⡧⡄⠨⣿⠀⠀⣽⣿
⠀⣀⠀⠀⢠⡄⠀⠀⠀⠀⠀⣿⣿⠀⡇⢨⠦⢨⠍⠍⡽⣍⣽⣿⢹⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⢀⡀⢀⡀⣴⣾⠛⢾⣿⡀⠀⢉⣿⣿⠂⠀⣸⣿⣿⣿⢿⣟⡇⠛⢿⣿⠶⠶⣿⣿
⢻⡛⣿⣶⡿⢿⣿⣛⡟⣛⣻⣿⣿⣶⣷⣾⣼⣁⢀⣙⣹⡬⠔⠋⠀⠙⠻⠿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠁⠙⠻⠿⢿⠿⣿⣿⣼⣿⠁⠀⠀⡿⣿⠀⢨⠿⠛⠉⠹⢿⣿⡧⠶⠾⢿⠶⠿⣿⣿
⠙⡛⣻⣽⣷⡊⣭⣍⡉⠉⢛⣻⣿⣿⣿⣿⡟⠟⠛⠋⠉⠀⠀⠀⠀⠀⠀⢰⣷⣭⣉⠉⠹⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢿⠃⠀⠀⣤⣿⣴⣿⣷⣶⣦⣄⣴⣿⣗⡄⢀⣼⠀⠀⣿⣿
⡧⢠⣾⡋⠻⣇⣿⣿⡿⠻⠿⢿⡃⢸⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢟⣩⡀⠀⠀⢀⣼⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢠⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣙⣻⣿⣷⢸⣿⣿
⣷⠀⣾⣿⣦⣼⡧⠀⠀⠄⠀⠈⠀⣾⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠇⠀⠰⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣹⣿⣿⣼⣿⣿
⣿⣶⣾⣿⣿⣿⣷⡆⣠⣠⣻⣤⠠⣙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡟⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢾⣾⣾⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣯⣿⠏⠉⣹⣛⣻
⣿⣿⣿⣿⡿⢷⣿⣧⣿⣿⣯⡅⣀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⢻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⠿⣿⠿⠿⣿⠏⢠⠙⠟⠀⠀⣸⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡛⠘⠛⡃⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣧⠰⢠⠛⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣇⠀⠀⠀⠀⢀⢀⣠⠄⢀⣀⣤⣾⣿⣿
⣿⣿⣿⣿⣿⣿⡿⠋⠁⣴⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠒⣠⣺⣼⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣷⡤⠈⣧⠉⠏⠉⠄⠀⢹⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣿⣶⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠉⢹⢿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣯⣉⣽⣭⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡇⠀⠀⠀⢘⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⡿⠁⠈⠻⠿⠿⠿⢿⡿⠿⠻⠿⠿⠿
⠛⠛⠛⣿⣿⡿⠿⢶⣶⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠀⠀⢸⣿⣿⣿⠿⣿⣶⣾⣾⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠶⠈⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠘⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠁⠀⠀⠈⠉⠙⠛⠀⠙⠛⠿⠿⠿⠿
⠀⢀⢰⣇⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠤⠾
⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠃⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡇⠀⠀⠀⠀⢻⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠂⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣤⣿⣿⣿⣿⣷⠀⠀⠀⣠⣾⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠓⣶⠒⠒⠒⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢺⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠾⠶⠆⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠛⣿⠛⠛⠒⣿⠒⠒⠒⠒⠒⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⡿⡿⠿⠿⠿⣿⣿⠿⠿⢿⣿⠠⠖⠀⠨⣿⣿⡿⠿⠿⢿⠿⢿⣿⣿⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣧⣠⣤⡄⠈⢉⢡⣾⠛⠻⠷⢩⣾⢛⡻⣷⣙⣾⢟⡻⣷⡌⣷⡟⠛⢿⠄⣿⡇⢿⡏⣿⡟⠛⠛⠀⠀⣿⡞⡛⣿⡟⡃⣿⢤⣤⣤⣤⣤⣤⣤⣿⣤⣤⣤⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤
⠙⢹⢻⣿⢿⣿⣿⣿⣿⣿⡏⠀⠀⠉⠀⠀⣤⣶⣿⠸⣷⣐⣛⣿⠸⣿⣘⣿⣿⠟⣿⣌⣋⣿⠇⣿⣄⢛⣿⡇⣿⣇⣛⠃⣿⡟⢛⠃⠀⠀⣿⡇⠁⣿⡇⠁⣿⠀⠉⠉⠙⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣻⣿⣟⣿⣿
⢛⣘⣻⣿⣋⣘⣻⣿⣿⣟⡁⠀⠀⠀⠀⠀⣿⣿⣿⣶⣭⣛⣻⣭⣶⣬⣛⣫⣵⣿⣈⣙⣛⣉⣾⣮⣝⣛⣭⣥⣝⣻⣿⣧⣝⣛⣛⣛⣀⣀⠛⠁⠀⠛⠁⠀⠙⠀⠀⠀⠀⠀⠙⢻⣿⣿⣟⡛⣻⣿⣿⣃⣐⣛⣯⢀⢻⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⠿⣿⡿⠿⠻⠿⠿⠿⠿⠿⠟⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣶⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠓⠂⠀⠀⠀⠀⠀⢀⠀⠀⣈⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠉⠉⠀⠀⠀⠹⣿⡟⠟⠢⠀⠀⠀⠀⠀⣀⣀⣀⠀⣀⣀⡀⢠⣾⣷⣿⣿⣿⣿⣿⣿⣶⣦⣤⣠⣤⣤⡄⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠐⠄⠀⠀⠀⠀⠀⠀⠀⡀⣀⢀⣀⣀⠀⠀⠀⢀⣀⣀⣀⡀⣤⣄
⣀⠀⠀⠀⠂⠒⠾⠷⠿⣿⣷⣦⠀⠆⠀⠀⠀⠀⠩⠄⠈⠘⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠶⢶⠆⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠛⠻⠿⣿⢿⣿⣿⣿⡿⠿⢯⢰⣾⠁⠀⠀⢒⣚⣳⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠛⠛⠳⠶⣿⢌⡙⣤⠀⠀⠐⠔⠂⠋⢙⣿⡟⢿⣿⠿⠿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠙⠛⠉⠉⠉⠉
⠉⠉⠉⠀⢉⠁⠀⢿⠀⢠⣤⠀⠀⣽⡿⠀⠀⠀⠀⣠⠀⢸⣿⣴⣶⣿⣶⣬⣭⣭⣭⣽⣿⣿⣀⣀⣀⣛⣿⣷⡀⠀⠀⠐⠛⠒⢻⣗⣤⣄⣠⡀⠀⢀⠀⠀⠿⠻⠿⡟⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⣄⠀⠀⠀⡀
⣤⣄⠀⠀⣽⠋⠀⠀⢠⣇⣀⣰⡄⠀⠀⠀⠀⠀⠀⠘⠀⠲⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⣾⣿⡗⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠷⢿⣻⠛⡛⢻⣻
⣄⡿⣾⣾⣿⣿⣶⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠐⠂⠀⠀⠀⠘⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠐⠞⠛⠛⣿⣟⣻⣷⠀⠀⠀⣸⣿⣷⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⠿⠿⠿⠿⠿⣟⣛⣻⣉⣉⣹⣻
⣿⣏⣿⣿⣿⣭⣤⣭⣅⣀⣀⣸⣿⠀⠀⢐⠒⠒⠀⡘⣛⠉⠀⣚⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⡾⠿⠠⡿⠯⢿⡿⠿⠿⣿⣧⢤⣼⣿⣷⣿⢤⡄⣤⣤⣤⣤⣿⣶⣶⣶⣶⢶⡶⡶⠿⢿⣿⠉⠉⢹⣿
⠗⠺⣿⠿⠿⠿⠄⢼⣯⣭⣭⣿⣿⠀⡀⢸⣂⣀⣀⣨⣭⡭⠉⣭⠹⣤⣴⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⠯⠀⠠⠦⠴⣧⠶⡤⠼⡤⠀⠛⠉⢉⣿⠀⢠⣥⣭⣿⡿⣿⢿⣿⣿⣿⣼⣧⣧⠄⣸⣿⠀⠀⣽⣿
⡀⡀⠀⠀⢠⡄⠀⠀⠀⡄⠀⣿⣿⠀⡇⢨⠦⢬⠍⠭⣽⣉⣬⣯⠯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⣀⡀⢀⡀⢀⡀⣴⣾⠛⢾⣿⡀⠀⢉⣿⣿⠒⠀⣹⣿⣿⣿⣿⣿⡇⠛⢿⣿⡶⠶⣿⣿
⢻⡛⣿⣶⡿⢿⣿⣛⡛⣛⣻⣿⣿⣶⣷⣾⣼⡅⠀⣀⣸⣉⣡⣽⡧⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠉⠉⠿⠿⡿⠿⠿⣿⣿⣼⣿⠁⠀⠁⣿⣿⠀⣨⠿⠛⠉⠹⢿⣿⡧⠶⠶⣿⠶⠿⣿⣿
⠘⣛⣿⣭⣷⡊⣭⣍⡉⠉⣛⣻⣿⣿⣿⣿⡿⡻⡿⠛⠛⠿⠛⠉⠀⠀⠀⠀⣤⣜⡛⠛⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⠃⠀⠀⣦⣿⣴⣿⣷⣶⣶⣄⣴⣷⡗⠤⢄⣽⠀⠁⣿⣿
⡦⢠⣾⡋⠻⣇⣿⣿⡿⠻⠿⣿⠗⣸⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠟⡋⠉⠀⠈⢉⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣋⣻⣿⣧⢸⣿⣿
⣶⠀⣾⣿⣦⣬⡧⠀⢀⡄⠀⠈⠀⣼⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⠀⠀⣴⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣹⣿⣿⣾⣿⣿
⣿⣶⣾⣿⣿⣿⣷⡆⣠⣠⣻⣮⣰⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠇⠀⠈⢹⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣾⣾⣾⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣯⣿⠏⠉⣹⣛⣻
⣿⣿⣿⣿⡿⣷⣿⣧⣿⣿⣯⣥⢈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡿⣿⠿⠿⣿⠏⢠⠙⠟⠀⠀⣸⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡛⠘⠛⡇⠀⠘⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⣄⡲⠎⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣇⠀⠀⠀⠀⣀⢀⣤⠄⢀⣠⣤⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠋⠁⣼⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠁⢄⢀⣦⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣷⠤⠀⣿⠉⠏⠙⠄⢈⣹⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣿⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠘⠻⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣉⣽⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡆⣀⠀⣽⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⡿⠁⠈⠿⠿⠿⠿⢿⡿⠿⠿⠿⠿⢿
⠛⠛⠛⣿⣿⡿⠿⣶⣶⣿⡿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠙⢺⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠀⠀⢸⣿⣿⣿⠿⣿⣶⣾⣾⣿⣿
⠀⠀⠀⠀⠄⠀⠀⠶⠌⠋⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠁⠀⠀⠈⠉⠙⠛⠀⠙⠻⠺⠿⠿⠿
⠀⣀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠾
⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠆⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⡇⠀⠀⠀⠀⢹⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣰⣿⣿⣿⣿⣿⠀⠀⣠⣶⣾⣿⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠓⣶⠒⠒⠒⠒⠒⠒⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠢⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠆⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠛⣿⠛⠛⠒⣿⠒⠒⠒⠒⠒⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣿⣿⡿⠿⠿⠿⢿⣿⡿⠿⠿⢿⣿⣿⠔⠂⠸⣿⣿⡿⠿⠿⢿⠿⢿⣿⣿⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣧⣀⣤⣄⣉⡉⢣⣾⠛⠻⠷⢩⣾⢟⡻⣷⣙⣿⢟⡛⣷⡌⣿⡟⠛⢿⠄⣿⡇⢿⡏⣿⡟⠛⠛⠀⡀⣿⡞⡛⣿⡟⣃⣿⢠⣤⣤⣤⣤⣤⣤⣿⣤⣤⣤⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤
⠙⣹⣻⣿⣿⣿⣿⣿⣿⣿⡏⠁⠀⠉⠀⠀⣰⣶⣿⣸⣷⣐⣛⣿⠸⣿⣘⣿⣿⠟⣿⣌⣋⣿⠇⣿⣄⢛⣿⡇⣿⣇⣛⠃⣿⡟⢛⠃⠀⠀⣿⡇⠁⣿⡇⠁⣿⠀⠉⠉⠙⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿
⢒⡘⣻⣿⣋⣛⣿⣿⣟⣻⣃⠀⠀⠀⠀⠀⣿⣿⣿⣷⣭⣟⣻⣭⣶⣭⣟⣻⣥⣿⣮⣙⣛⣩⣾⣮⣽⣻⣯⣥⣙⣿⣿⣧⣽⣛⣛⣛⣀⣀⠛⠁⠀⠛⠁⠀⠙⠀⠀⠀⠀⠀⠙⢻⣿⣿⣿⡛⣻⣿⣿⢃⣐⣛⣏⠐⣻⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⡿⡿⠿⠿⠿⠿⠿⠿⠿⠟⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠂⠀⠀⠀⠀⠀⠀⣲⣀⣀⣠⣤⣄⣀⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠉⠉⠀⠀⠀⠸⣿⡟⠟⠂⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⣀⡀⡀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡶⠖⠒⠛⠂⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⣤⣀
⣀⠀⠀⠀⠂⠐⠾⠾⠿⢿⣷⣦⠀⠆⠀⠀⠀⠈⢨⠄⠀⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⢀⡀⠀⠀⠀⠀⠀⠀⠀⠒⠶⢶⠆⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠛⠻⠿⣿⢿⣿⣿⣿⡿⠻⢿⢰⣾⠀⠀⠀⢒⣚⡲⣾⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢤⠄⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⡀⣤⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠛⠛⠱⠶⣿⢂⡙⣠⠀⠀⠀⠔⠂⠋⠉⢩⣿⠋⠙⣿⡛⢉⡿⠿⢿⣿⣿⣿⠟⠿⠟⣯⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣶⣿⣿⡿⠙⠛⠉⠉⠁⠉
⠉⠉⠉⠀⢉⠁⠀⢿⠀⢠⣤⠀⠀⣽⡿⠀⠀⠀⠀⣀⠀⠀⠸⣿⣾⣿⣿⣿⣶⣷⣾⣷⣶⣶⣾⣦⣤⣤⣤⣶⣿⡆⠀⠀⠛⠒⢻⣇⣤⣄⣠⡀⠀⢀⠀⠀⠯⠟⢿⡿⠯⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠷⠀⣄⠀⠀⠀⡀
⣤⡄⠀⠀⣻⠉⠀⠀⢨⣇⣀⣰⡄⠀⠀⠀⠀⠀⠀⠘⠀⠶⠶⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⣾⣿⡗⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⠷⠿⣻⠛⡛⢻⣻
⣄⡵⣶⣾⣿⣿⣶⣿⣿⣿⣿⣿⡖⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⢩⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠚⠛⠛⣿⣟⣿⣷⠀⠀⠀⣸⣿⣿⠀⠀⠀⠀⠀⠀⠀⢻⡿⣿⠿⠿⠿⠿⠿⢛⣛⣻⣉⣉⣹⣻
⡿⣏⣿⣿⣿⣥⣤⣍⣇⣀⣀⣸⣿⠀⠀⢀⠐⠒⠀⠐⠛⠋⠀⢀⣠⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⠠⢿⠯⢿⡿⠿⠿⣿⣧⢤⣼⣿⣷⣿⠤⡄⣤⡤⣤⣤⣿⣶⣶⣶⣶⣶⡶⡶⠿⢿⣿⠉⠉⢹⢿
⠗⠲⣿⠿⠿⠷⠄⢼⣯⣭⣽⣿⣿⠀⠀⢸⣄⣄⣀⣨⣭⠭⡉⢍⠩⢿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠫⠀⠠⠦⠴⣧⠶⡤⠼⡤⠀⠛⠉⢉⣿⠀⠠⣭⣭⣿⡿⡿⢿⣿⡿⣿⢾⣇⡧⡀⠈⣿⠀⠀⣿⣽
⠀⣀⠀⠀⢠⡄⠀⠀⠀⡀⠀⣿⣿⠀⡇⢰⠤⠨⠍⠉⠭⣁⣨⣯⠥⠚⣿⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⣀⡀⢀⡀⢀⡀⣴⣾⠛⢾⣿⡀⠀⠉⣿⣿⠂⠀⣸⣿⣿⣿⢿⣿⡇⠛⢾⣿⠶⠶⣿⣿
⢻⡛⣿⣶⡿⢿⣿⣛⡛⠛⣻⣿⣿⣶⣷⣾⣼⣇⠀⣁⣰⣭⣠⡟⠃⠀⠀⠀⢀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠉⠙⠻⠿⡿⠿⠿⣿⣿⣼⣿⠁⠀⠀⡿⣿⠀⣨⠿⠛⠉⠹⢿⣿⡇⠶⠶⣿⠖⠿⣿⣿
⠘⡛⣻⣭⣷⡊⣭⣍⡉⠉⢛⣻⣽⣿⣿⣿⣟⡻⠟⠛⠻⠯⠉⠁⠀⠀⠀⠀⢸⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⢿⠃⠀⠐⣤⣿⣴⣿⣷⣶⣦⣄⣤⣷⡷⠤⢀⣼⠀⠁⣿⣿
⡧⢠⣿⡋⠻⣇⣿⣿⡿⠻⠿⢿⡧⢹⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢛⣭⡀⠀⠀⢀⣼⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣉⣻⣿⣦⢘⣿⣿
⣶⠀⣾⣿⣦⣬⡇⠀⠀⠄⠀⠈⠀⣾⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⠃⠀⠰⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣹⣿⣿⣬⣿⣿
⣿⣶⣾⣿⣿⣿⣷⡆⣠⣀⣻⣬⢀⣹⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣾⣾⣿⣿⣿⣿⣿⡿⢿⢿⣿⣿⣯⣿⠏⠉⣹⣛⣻
⣿⣿⣿⣿⡿⢷⣿⣧⣿⣿⣯⣄⠈⠁⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡇⠀⠀⡀⢻⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⡿⣿⠿⠿⣿⠏⢠⠙⠟⠀⠀⣸⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡛⠘⠛⡃⠀⠰⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠐⠀⠙⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣇⠀⠀⠀⠀⢀⢀⣤⠄⢀⣀⣤⣼⣿⣿
⣿⣿⣿⣿⣿⣿⡿⠋⠀⣴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠐⣶⣿⣼⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣷⠤⠀⣿⠉⠉⠉⠀⠀⢹⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣿⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣯⣉⣽⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠠⠀⢸⠛⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⡿⠁⠈⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠛⠛⠛⣿⣿⡿⠿⣶⣶⣿⣿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠀⠀⢸⣿⣿⣿⠿⣿⣶⣶⣾⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠶⠄⠋⠱⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠁⠀⠀⠈⠉⠙⠛⠀⠙⠛⠻⠿⠿⠿
⠀⡀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠾
⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣧⠀⠀⠀⠢⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⣀⣿⣿⣿⣿⣿⠀⠀⣠⣴⣾⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠒⣶⠒⠒⠒⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣼⣿⣿⣿⣿⣿⣿⣿⣦⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠛⣿⠛⠚⠒⣿⠒⠒⠒⠒⠒⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠿⣿⣿⣿⠿⠿⠿⢿⣿⡿⠿⠿⢿⣿⣿⠂⠀⠻⣿⣿⠿⠿⠿⢿⠿⢿⣿⣿⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣧⣀⣤⣄⡈⡉⢫⣾⠛⠻⡷⢩⣾⢛⡻⣷⣙⣿⢟⡛⣷⡌⣿⡟⠛⢿⠄⣿⡇⢿⡏⣿⡟⠛⠋⠀⠀⣿⡞⡛⣿⡟⣃⣿⢠⣤⣤⣤⣤⣤⣤⣿⣤⣤⣤⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤
⠉⢻⢻⣿⢿⣿⣿⣿⣿⣻⡿⠁⠀⠉⠀⠀⣱⣾⣿⡸⣷⣐⣛⣿⠸⣿⣘⣿⣿⠟⣿⣌⣋⣿⠇⣿⣄⢛⣿⡇⣿⣇⣛⠃⣿⡟⢛⠃⠀⠀⣿⡇⠁⣿⡆⠁⣿⠀⠉⠉⠙⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣿⣿⡿⣿⣿
⢓⡚⢻⣿⣋⣙⣿⣿⣟⣛⣛⠀⢀⠀⠀⠀⣿⣿⣿⣷⣭⣟⣻⣭⣶⣭⣟⣋⣥⣿⣮⣙⣛⣭⣾⣮⣝⣻⣯⣥⣙⣿⣿⣧⣝⣛⣛⣛⣀⣀⠛⠁⠀⠛⠁⠀⠙⠀⠀⠀⠀⠀⠙⢻⣿⣿⣿⡛⣻⣿⣿⢁⣐⡛⣟⠀⢻⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⢿⣿⢿⠿⠿⠻⠟⠿⠿⠿⠿⠟⠻⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠒⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠂⠀⠀⠀⠀⠀⠀⢠⣆⣀⣠⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠉⠉⠀⠀⠀⠹⣿⡟⠛⠢⠀⠀⠀⠀⠀⣀⣀⡀⠀⢀⣀⣀⣀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡤⠶⠒⠦⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⣀⡀⡀⣀⡀⣤⣄
⣀⠀⠀⠀⠂⠐⠾⠶⠿⢿⣷⣦⠀⠆⠀⠀⠀⠉⠩⠄⠀⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⢀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠶⢶⠆⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣾⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠛⠻⠿⣿⢿⣿⣿⣿⡿⠻⢯⢰⣶⠈⠀⠀⢒⣚⡖⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⣀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⣠⣴⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠛⠛⠳⠶⣿⢂⡙⣠⠀⠀⠀⠔⠂⠋⠉⠉⣽⡏⠙⢿⡟⠛⣿⠿⢿⣿⣿⣿⡟⠻⠿⢟⣻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣽⣟⠟⠙⠛⠉⠉⠉⠉
⠉⠉⠉⠀⢉⠁⠀⢿⠀⢠⣤⠀⠀⣽⡿⠀⠀⠀⠀⣀⠀⠀⠘⢿⣶⣿⣿⣿⣷⣾⣶⣶⣶⣶⣿⣧⣤⣤⣬⣽⣿⣆⠀⠀⠐⠒⢻⣗⣤⣄⣀⡀⠀⢀⠀⠀⠛⠟⠿⡟⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⠧⠀⢄⠀⠀⠀⡀
⣤⡄⠀⠀⣻⡉⠀⠀⢠⣇⣀⣰⡄⠀⠀⠀⠀⠀⠀⠘⠀⠶⠶⠶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⣾⣿⡗⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠶⢿⣿⠛⡛⢻⣻
⣄⡽⣶⣾⣿⣿⣶⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠘⠛⠛⣿⡟⣿⣷⠀⠀⠀⣸⣿⣷⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⠿⠿⠿⠿⠿⢛⣛⣻⣉⣉⣹⣻
⡿⣏⣿⣿⣿⣭⣤⣍⣇⣀⣀⣸⣿⠀⠀⢀⠒⠒⠀⠐⡛⠛⠐⠐⠂⣍⣹⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡴⠠⣿⠯⢿⡿⠿⠿⣿⣧⢤⣼⣿⣷⣿⢤⡄⣤⡤⣤⣤⣿⣶⣶⣶⣶⢶⡶⡶⠿⢿⣿⠉⠉⢹⢿
⠗⠺⣿⠿⠿⠷⠀⢼⣯⡭⣭⣿⣿⠀⠀⢸⣀⣀⣀⣈⣥⣭⠉⠭⠩⢿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠠⠤⠴⣧⠶⡤⠼⠤⠀⠛⠉⢉⣿⠀⢠⣥⣭⣿⡿⠿⢿⣿⡿⣻⢾⣧⣧⡄⠈⣿⠀⠀⣽⣿
⠀⡀⠀⠀⢠⡄⠀⠀⠀⡀⠀⣿⣿⠀⡇⢰⠤⢨⠍⠍⡽⣉⣨⣯⠁⠚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⣀⡀⢀⡀⢀⡀⣴⣾⠛⢾⣿⡀⠀⢉⣿⣿⠒⠀⣹⣿⣿⣿⢿⣿⡇⠛⢿⣿⠶⠶⣿⣿
⢻⡛⣿⣶⡾⢿⣿⣛⡛⢛⣛⣿⣿⣶⣷⣾⣬⡇⠀⣁⣸⣯⣤⣹⡇⠀⠉⠁⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠉⠑⠿⠿⡿⠿⠿⣿⣿⣼⣿⠁⠀⠁⡿⣿⠀⣨⠿⠛⠉⠹⢻⣿⡧⠶⠶⢿⠶⠿⣿⣿
⠘⡛⣿⣭⣵⡊⣭⣍⡉⠉⣛⣻⣿⣿⣿⣿⣿⡻⡿⠛⠛⠻⠛⠉⠁⠀⠀⠀⢐⣿⣿⣾⣿⡿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⢿⠂⠀⠐⣦⣿⣴⣿⣷⣶⣦⣄⣤⣷⣷⡤⢄⣽⠀⠁⣿⣿
⡦⢠⣾⡋⠻⣇⣿⣿⡿⠻⠿⣿⠇⣸⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠟⣋⡁⠀⠀⠀⣩⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣋⣻⣿⣦⢸⣿⣿
⣶⠀⣾⣿⣦⣼⡧⠀⠠⠄⠀⠉⠀⣸⣿⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡇⠀⠀⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣹⣿⣿⣬⣿⣿
⣿⣶⣾⣿⣿⣿⣷⡆⣠⣠⣻⣯⢠⡿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡿⠀⠀⠀⢿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣾⣿⣿⣿⣿⣿⡿⢿⢿⣿⣿⣯⣿⠏⠉⣹⣛⢻
⣿⣿⣿⣿⡿⢷⣿⣧⣿⣿⣯⣤⠀⠋⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣇⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⡿⣿⠿⠿⣿⠏⢠⠙⠟⠀⠀⣸⣿⣿
⣿⣿⣿⣿⣷⣿⣿⡛⠘⢛⡃⠀⠸⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⠐⢠⠙⢸⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣇⠀⠀⠀⠀⢀⢀⣤⠄⢀⣀⣤⣼⣿⣿
⣿⣿⣿⣿⣿⣿⡿⠋⠀⣼⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⣤⣴⣼⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣷⠤⠀⣿⠉⠈⠉⠄⠀⢹⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣿⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠈⢹⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣉⣽⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⢠⠀⢠⠟⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡿⠁⠈⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠛⠛⠛⣿⣿⡿⠿⣶⣶⣿⡿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠀⠀⢸⣿⣿⣿⠿⣿⣶⣾⣾⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠶⠄⠋⠣⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⢿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠁⠀⠀⠈⠉⠛⠛⠀⠙⠛⠾⠿⠿⠿
⢀⣀⢰⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠤⠾
⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠂⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⠀⠀⠀⠀⢘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⣄⣿⣿⣿⣿⣿⠀⠀⣠⣤⣤⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⣶⠒⠒⠒⠒⠒⠂⠀⠀⠐⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣾⣿⣿⣿⣿⣿⣿⣷⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠷⠶⠶⠶⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠛⣿⠛⠛⠒⣿⠒⠒⠒⠒⠒⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠿⣿⣿⣿⠿⠿⠿⢿⣿⡿⠿⠿⢿⣿⣿⠂⠈⠻⣿⣿⠿⠿⠿⢿⠿⢿⣿⣿⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣧⣀⣤⣄⣀⡉⢫⣾⠛⠻⡷⢩⣾⢛⡻⣷⣙⣿⢟⡛⣷⡌⣽⡟⠛⢿⠄⣿⡇⢻⡏⣿⡟⠛⠋⠀⠀⣿⡞⡛⣿⡟⣃⣿⢤⣤⣤⣤⣤⣤⣤⣿⣤⣤⣤⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤
⠉⢹⢻⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠉⠀⠀⣱⣶⣷⡸⣷⣐⣛⣿⠸⣿⣘⣿⣿⠟⣿⣌⣋⣿⠇⣿⣄⢛⣿⡇⣿⣇⣛⠃⣿⡟⢛⠃⠀⠀⣿⡇⠁⣿⡇⠁⣿⠀⠉⠉⠙⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⡿⣿⣿
⢒⡚⣻⣿⣋⡛⣿⣿⣟⣛⣛⠀⠀⠀⠀⠀⢸⣿⣿⣷⣭⣟⣻⣭⣶⣭⣟⣋⣥⣿⣮⣙⣛⣭⣾⣮⣽⣻⣯⣅⣹⣿⣿⣧⣝⣛⣛⣛⣀⣀⠛⠁⠀⠛⠁⠀⠙⠀⠀⠀⠀⠀⠙⢻⣿⣿⣿⡛⣛⣿⣿⢃⣐⣙⣯⠀⢹⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⠿⡿⠟⠻⠻⠻⠿⠿⠿⠟⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢁⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠠⠥⠭⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⣴⣧⣤⣵⣶⣷⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠉⠉⠀⠀⠀⠸⣿⡿⠟⠃⠀⠀⠀⠀⠀⣀⣀⡀⠀⣀⣀⣀⣀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡶⠄⠴⠦⠄⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀
⣀⠀⠀⠀⠂⠐⠾⠷⠿⢿⣷⣦⠀⠄⠀⠀⠀⠈⠩⠄⠀⠉⢻⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠒⠶⢶⠆⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠛⠻⠿⣿⢿⣿⣿⣿⡿⠻⢯⢰⣷⠈⠀⠀⢒⣲⡒⣾⣷⣾⣿⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⣾⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠛⠛⠣⠤⣿⢀⡙⣠⠀⠀⠀⠜⠂⠋⠉⠉⠁⣿⣿⣣⣼⣿⣤⣾⣞⣙⣛⠿⢿⣿⠙⠿⣿⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⢫⣻⣿⣿⣿⣻⣿⣿⣿⢏⣿⣸⠘⠛⠉⠉⠁⠉
⠉⠉⠁⠀⢉⠁⠀⢿⠀⢰⣤⠀⠀⣽⡿⠀⠀⠀⠀⣀⠀⠀⠀⠀⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣽⣿⣇⠀⠀⠐⢻⣇⣤⣄⣠⡀⠀⢀⠀⠀⠀⠻⠿⠿⠽⠿⠿⣯⣾⣟⣯⣯⣿⣿⣿⠧⠀⢄⠀⠀⠀⠀
⣤⡄⠀⠀⣿⠁⠀⠀⢰⣇⣀⣠⡄⠀⠀⠀⠀⠀⠀⠘⠀⠶⠶⠦⠒⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⢈⡀⠀⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⠶⠿⣟⠛⡛⢻⣿
⣍⢺⣶⣿⣿⣷⣶⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠘⠛⣿⡟⣿⣿⠀⠀⠀⣸⣿⣿⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⠿⠿⠿⠿⠿⢟⣛⣻⣋⣉⣹⣛
⣯⣇⣿⣿⣿⣭⣤⣭⣅⣀⣀⣰⣿⠀⠀⢀⠀⠒⠀⢐⣞⡋⠀⠰⠂⡀⣦⣤⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣦⣄⠠⣿⠯⢿⡿⠿⠿⣿⣧⢤⣼⣿⣶⣾⠤⡄⣤⣤⣤⣤⣶⣶⣴⡶⣶⢶⡶⡶⡿⢿⣿⠉⠉⢹⢿
⠗⠻⣿⠿⠿⠵⠀⢾⣯⡭⣭⣿⣿⠀⡀⢸⣀⣀⣀⣈⣽⠭⠈⡮⢈⠍⢿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠠⠦⠴⣧⠦⡤⠼⠤⠀⠛⠉⢉⣿⠀⠀⣥⣭⣿⡿⢿⣿⣿⣿⣿⣿⣧⣧⡄⣈⣿⠀⠀⣾⣿
⠀⡀⠀⠀⢠⡄⠀⠀⠀⠀⠀⣿⣿⠀⡇⢸⠆⢩⠍⠭⠽⣭⡭⣏⠭⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢀⡀⢀⣀⣴⣾⠛⢺⣿⡀⠀⠉⣿⣿⠒⠀⣸⣿⣿⣿⢿⣿⡇⠛⠿⣿⠶⠶⣿⣿
⢿⡛⣿⣶⡿⢻⣿⣛⡛⢛⣛⣿⣿⣶⣷⣾⣼⡅⠀⢀⣰⣍⣥⣿⡿⠀⠉⠉⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠉⠛⠿⠿⠿⠿⣿⣿⣼⣿⠁⠀⠀⢿⣿⠀⠀⠿⠛⠉⠹⢻⣿⡧⠶⠶⢿⠶⠿⣿⣿
⠙⠛⣻⣽⣷⠈⣭⣍⡉⠉⢛⣻⣽⣿⣿⣿⣟⣻⣿⠟⠿⠿⠋⠉⠁⠀⠀⠀⠀⢸⣷⣦⣽⡿⠿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠿⠃⠀⠀⣤⣿⣴⣿⣶⣶⣦⣄⣤⣷⡇⢤⢀⣼⠀⠀⣿⣿
⡦⢠⣿⡋⢛⣇⣿⣿⡿⠻⠿⡿⠃⢸⣿⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣋⣭⡄⠀⠀⢠⣾⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢉⣺⣿⣦⠸⣿⣿
⣦⠀⣾⣿⣦⣬⡧⠀⠀⠤⠀⠈⠀⣾⣿⣉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠃⠀⠸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣩⣹⣿⣿⣼⣿⣿
⣿⣶⣾⣿⣿⣿⣷⡆⣠⣠⣿⡬⠠⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠀⠀⠀⢿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣾⣾⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣯⣿⠏⠉⢩⣋⣻
⣿⣿⣿⣿⡿⣷⣿⣧⣿⣿⣯⣥⠀⠋⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡇⠀⠀⣀⢹⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⠿⣿⠿⠿⣿⠏⢠⠙⠟⠀⠀⣹⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡛⠘⠛⡃⠀⠸⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣇⠐⢀⠙⢺⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣇⠀⠀⠀⠀⠀⢀⣤⢀⣀⣀⣤⣼⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠋⠁⣵⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠐⣤⠸⣾⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣷⠤⠀⣯⠋⠋⠉⠈⠀⢸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣿⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣯⣉⣽⣯⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⠰⠀⠀⢻⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡿⠁⠈⠿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠛⠛⠛⣿⣿⡿⠿⢶⣶⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⠀⠀⠀⠈⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠀⠀⢰⣷⣿⣿⠿⣿⣶⣶⣾⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠦⠈⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠁⠀⠀⠀⠉⠙⠛⠀⠙⠛⠻⠿⠿⠿
⠀⠀⠰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⠀⡀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠤⡶
⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠛⠑⠃⣸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⣤⡄⢸⣿⣿⣿⣿⣿⠀⢀⣤⣤⣈⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⣶⠒⠒⠒⠐⠒⠂⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣱⣿⣿⣿⣿⣿⣿⣷⣶⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠛⣿⠓⠒⠒⣿⠒⠒⠒⠒⠂⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⣿⠿⠿⠿⢿⣿⡿⠿⠿⢿⣿⣿⠗⠺⠿⣿⣿⠿⠿⠿⣿⠻⢿⣿⣿⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣧⣀⣤⣄⣀⡉⢫⣾⠛⠻⠷⢩⣾⢛⡻⣷⣙⣿⢟⡻⣷⡌⣽⡟⠛⢿⠆⣿⡇⢛⡏⣿⡟⠛⠋⠀⠀⣿⡞⡛⣿⡟⡃⣿⢠⣤⣤⣤⣤⣤⣤⣿⣤⣤⣤⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤
⡙⢺⢻⣿⡿⣿⣿⣿⣿⣿⠉⠀⠀⠉⠀⠀⣡⣾⣿⡸⣷⣐⣛⣿⠸⣿⣘⣿⣿⠛⣿⣌⣃⣿⠇⣿⣄⣛⣿⡇⣿⣇⣛⠃⣿⡟⠛⠃⠀⠀⣿⡇⠁⣿⡆⠁⣿⠀⠉⠉⠛⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢟⣿⣿⢿⣿⣿
⠒⣺⣿⣿⣋⡛⣿⣿⣿⣋⠀⠀⠀⠀⠀⠀⣸⣿⣿⣷⣭⣛⣿⣭⣶⣭⣛⣫⣵⣿⣮⣝⣛⣩⣾⣮⣽⣻⣭⣥⣙⣿⣿⣧⣽⣛⣛⣛⣀⠀⠛⠁⠀⠛⠁⠀⠙⠀⠀⠀⠀⠀⠙⢻⣿⣿⣛⣛⣛⣿⣿⠃⣘⣉⣷⢀⣹⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣶⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢁⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠆⢻⣿⣿⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣿⣿⣿⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠶⠶⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠉⠉⠀⠀⠀⢸⣿⡿⠟⠃⠀⠀⠀⠀⠀⣀⣀⣀⠀⣀⣀⣀⣀⢀⠀⡀⢴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⣀⠀⣀⣀⠀⠀⡀⠀⢀⢀⣀⣀⡀⣠⣄
⣀⠀⠀⠀⠀⠐⠾⠶⠿⢿⣷⣦⠀⠆⠀⠀⠀⠈⠩⠄⠀⠉⢻⣿⣿⣾⣉⣿⣹⣽⣿⣿⡛⣻⣿⡿⢿⣿⣿⣿⣿⣿⣿⣇⡀⠀⠀⠀⢶⠆⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠛⠻⠿⣿⢿⣿⣿⣿⡿⠿⢯⢸⣾⠀⠀⠀⢒⣚⡲⣾⣷⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠉⠹⢿⣿⣇⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⢠⣴⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠛⠛⠣⠤⣿⢄⡙⣤⠀⠀⠀⠈⠒⠋⠉⠙⠙⠛⠃⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣽⠙⠛⠉⠉⠈⠉
⠉⠉⠁⠀⢉⠁⠀⢿⠀⢠⣤⠀⠀⣽⡿⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠈⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⣀⣤⣄⣠⡀⠀⢀⠀⠀⠾⠿⠿⡿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⡿⠧⠄⣤⠀⠀⠀⠀
⣤⡄⠀⠀⣿⠇⠀⠀⢨⣧⣀⣰⡄⠀⠀⠀⠀⠀⠀⠘⠀⠶⠶⠶⠂⠀⠀⠀⢘⡛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⢈⡀⠀⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠷⢿⣿⠛⡛⢻⣿
⣍⣶⣶⣿⣿⣷⣶⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⡄⠈⣿⡟⣿⣷⠀⠀⠀⣸⣿⣿⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⠿⠿⠿⠿⠿⢟⣛⣻⣋⣉⣹⣻
⣿⣇⣿⣿⣿⣭⣤⣭⣅⣀⣀⣰⣿⠀⠀⢀⡀⠒⣂⢐⣟⣋⢁⣘⢂⡀⠠⣥⢸⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠯⢿⡿⠿⠿⣿⣧⣤⣼⣿⣷⣿⠤⡄⣤⣤⣤⣤⣿⣶⣴⣶⣶⢶⡶⡶⣿⣿⣿⠉⠉⢹⣿
⠗⠻⣿⠿⠿⠽⠀⢼⣯⣭⣽⣿⣿⠀⡀⢸⣄⣀⣀⣈⣿⢯⠩⣮⡨⠍⠠⡿⢟⣿⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠤⠶⠧⢶⡤⠼⡤⠀⠛⠉⢉⣿⠀⠠⣥⣭⣿⡿⢿⣿⣿⣿⣿⣿⣧⣧⡄⣸⣿⠀⠀⣾⣿
⠀⡀⠀⠀⢠⡄⠀⠀⠀⠀⠀⣿⣿⠀⡇⢸⠯⣭⡍⠩⠿⣭⡬⣿⠯⠠⠽⠉⠈⠁⠀⣹⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⠛⢾⣿⡀⠀⠉⣿⣿⠒⠀⣸⣿⣿⣿⢿⣿⡇⠛⢿⣿⠶⠶⣿⣿
⢿⡛⣿⣶⡿⢿⣿⣛⡛⢛⣻⣿⣿⣶⣷⣾⣼⡏⠀⠠⠽⠿⠩⡉⠋⠁⠀⠀⠀⠀⠀⣿⡿⠿⠟⠛⠛⠛⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠘⠻⠁⠀⠁⣿⣿⠀⢠⠿⠛⠉⠹⢿⣿⡷⠶⠶⣿⠶⠿⣿⣿
⠙⢛⣻⣽⣷⠈⣭⣍⡉⠉⣛⣻⣿⣿⣿⣿⣿⡻⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⣶⡧⠐⠀⣠⣾⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⣴⣿⣷⣿⣶⣄⣤⣷⡇⡤⢄⣾⠀⠀⣿⣿
⡦⢠⣾⡋⢙⣇⣿⣿⡿⠻⠿⣿⢧⢸⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡃⠀⠀⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢙⣺⣿⣦⠸⣿⣿
⣧⠀⣿⣿⣦⣬⡷⠀⢀⡤⠀⠈⠘⣾⣿⣟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣟⠀⠀⠀⢸⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣹⣿⣿⣾⣿⣿
⣿⣶⣾⣿⣿⣿⣷⡆⣠⣠⣿⣿⠀⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⢠⡦⠿⢸⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣾⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣯⣿⠟⠉⢹⣛⣿
⣿⣿⣿⣿⡿⣿⣿⣧⣿⣿⣯⣥⠆⣯⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⢨⡉⣠⣾⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⠿⢿⠿⠿⣿⠏⢠⠙⠟⠀⠀⣹⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡛⠘⠛⡃⠀⠸⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠛⢙⣻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣇⠀⠀⠀⠀⣀⢀⣠⢄⣀⣀⣤⣼⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠋⠁⣽⠉⠀⠀⢠⣷⣶⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⣘⢿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣷⠤⠀⣿⠋⠋⠉⠈⠈⢹⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣿⣶⠀⣾⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣯⣉⣽⣽⣿⣿⣿⣿⣿⣿⣿⡏⠀⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⣻⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡿⠁⠈⢿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠛⠛⠛⣿⣿⡿⠿⣶⣶⣿⡿⠃⠀⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡃⠀⠀⠀⢸⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡟⠀⠀⢸⣷⣿⣿⠿⣿⣶⣶⣾⣿⣿
⠀⠀⠀⠀⠄⠀⠀⠶⠀⠏⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⠁⠀⠰⣦⣿⣿⣿⣥⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠈⠉⠛⠛⠀⠙⠛⠻⠿⠿⠿
⠀⠀⢰⣖⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⠀⠀⣼⣿⣿⣿⣿⣿⣿⣷⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣴⣶
⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠟⠻⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⡿⡀⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠒⠒⠒⠒⠒⠒⠐⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡏⠉⠂⠛⢿⣿⣿⣿⣿⠋⠹⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣵⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠿⠿⠿⠿⢿⡿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠛⢠⠂⠉⠉⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠛⣿⠓⠒⠒⣿⠒⠒⠒⠒⠒⠒⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣧⠷⣯⣁⡃⠀⣹⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣯⣴⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣯⣤⣴⣿⣶⣦⣿⣿⣿⣿⣤⣤⣤⣤⠀⡀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⣤⣤⣤⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤
⡙⢻⢻⣿⢿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⡏⠉⠉⠉⠉⠉⠉⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠛⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿
⡓⡺⢿⣿⣋⣛⣻⣟⣿⣛⣛⣛⣓⠀⢾⣿⣿⣅⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⣿⣿⣿⣛⣻⣿⣿⢋⣚⣛⣯⢰⣻⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⣿⣿⣿⢿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠟⠛⠛⠛⠻⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣶⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢡⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡖⠈⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠓⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⠉⠉⠀⠀⠀⢸⣿⡿⠟⠓⠀⠀⠀⠀⠀⣀⣀⣀⠀⣀⣀⣀⣀⢀⠀⣠⣀⠐⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⣀⢀⢀⣀⣀⠀⠀⠀⣀⢀⡀⣀⣀⣠⣀
⣀⠀⠀⠀⠂⠒⠾⢶⠿⢿⣷⣦⠠⠆⠀⠀⠀⠉⠩⠅⠀⠙⢻⣿⣿⣞⣁⣁⣴⣀⣽⣿⣿⣿⣉⣽⣿⣛⢿⣿⣿⣿⣿⣿⣿⡦⠀⠀⠀⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠛⠻⠿⣿⣿⣿⣿⣿⡿⠿⢿⢸⣿⠈⠀⠀⢒⣺⡶⣾⣾⣿⣿⣿⣿⢿⣿⠿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣅⠈⠙⢿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣴⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠛⠛⠳⠦⣿⢎⡙⣠⠀⠀⠐⠟⠚⡋⠉⠙⠙⠛⠋⠀⡀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⠛⠛⠉⠉⠉⠉
⠉⠉⠁⠀⣉⠁⠑⣿⠀⢰⣤⠀⢀⣽⣿⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢀⣤⣄⣠⡀⠀⢀⡀⠀⠯⠿⠿⡟⠛⠿⠿⣿⣽⣿⣿⣿⣿⣿⡿⠷⠄⣤⠀⠀⠀⡀
⣤⡄⠀⠀⣿⡇⠀⠀⢸⣧⣀⣰⣦⣠⣤⣴⣶⣿⣷⣸⠀⠶⠶⠶⠒⠀⠀⠀⠀⠈⣯⣉⣉⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠋⠀⠀⠀⠀⢈⡀⠀⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⠷⢿⣿⠛⡛⢻⣿
⣍⣿⣶⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣟⣿⣿⠀⠀⠀⣸⣿⣿⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡿⠿⠿⠿⠿⢟⣛⣻⣋⣋⣹⣿
⣿⣯⣿⣿⣿⣭⣤⣭⣏⣀⣀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⢀⢺⢓⡀⠠⣵⢶⡞⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣧⣤⣿⣿⣷⣿⠤⡄⣤⣤⣤⣤⣿⣶⣶⡶⣶⢶⡶⡶⣿⣿⣿⠉⠉⢹⣿
⠟⠻⣿⡿⠿⠿⠀⢾⣯⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠩⣮⡩⡍⠤⣿⣿⠻⠉⠉⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⢤⣼⡤⠀⠛⠋⢉⣿⠀⢤⣭⣽⣿⡿⣿⣿⣿⣿⣿⣿⣧⣧⣄⣻⣿⠀⠀⣾⣿
⠀⣀⠀⠀⢠⡄⠀⠀⠀⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠭⣿⣯⣯⠌⠭⠉⠀⠀⠀⠀⣾⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠠⠾⠿⠾⣿⡀⠀⣭⣿⣿⠒⠀⣸⣿⣿⣿⣿⣿⡏⡛⢿⣿⠶⠶⣿⣿
⢿⣟⣿⣶⡿⢿⣿⣛⣟⠛⣻⣿⣿⣿⣿⣿⣿⣿⡟⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⣋⡍⢁⠀⠀⣩⣽⣿⣿⣿⣿⣿⣿⣿⣿⣀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠑⣿⣿⠀⢨⡿⠛⠉⠹⢿⣿⡷⠶⠶⢿⠶⡿⣿⣿
⠙⣛⣿⣿⣷⡊⣭⣍⡉⢹⣿⣿⣿⣿⣿⣿⣿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠏⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣴⣿⣿⣿⣶⣄⣼⣿⡇⣤⣄⣼⡀⠁⣿⣿
⡧⢤⣿⡏⢻⣧⣿⣿⡗⣾⣿⣿⣿⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⢦⣰⡄⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢛⣻⣿⣧⢸⣿⣿
⣷⠀⣿⣿⣶⣼⣷⠀⠠⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡇⢀⣐⣤⢻⣿⣿⣿⡏⠘⢿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣹⣿⣿⣾⣿⣿
⣿⣶⣾⣿⣿⣿⣿⠀⠀⠛⠉⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡇⣿⡿⠛⣾⣿⣿⣿⠁⠀⠀⠻⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⠟⠉⢿⣛⣿
⣿⣿⣿⣿⡿⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⢷⣤⣾⣼⣿⣿⡿⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⣿⠿⠿⣿⡏⢡⠙⠿⠀⠀⣽⣿⣿
⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡇⠀⢹⣿⢻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠘⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣇⡀⠀⠀⠀⢀⣀⣤⣄⣀⣠⣤⣽⣿⣿
⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣗⠛⠙⣾⣻⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣷⢤⠀⣿⠛⠏⠉⠈⢉⣽⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⠀⠀⠈⢾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣯⣉⣽⣿⣽⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠁⠀⠀⠁⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⠁⠈⢿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠛⠛⠛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⢕⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⢸⣿⣿⣿⠿⣿⣶⣶⣾⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⢴⠰⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠀⠙⠟⠻⠿⠿⠿
⢀⢀⣰⣗⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠉⢹⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣴⣶
⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⢀⣸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⢻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⢶⡶⠶⠶⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⠐⢤⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠒⣶⠒⠒⠒⠒⠒⠒⠒⠂⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠒⢸⡷⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠠⣸⡁⠄⠀⢸⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠿⠿⠾⢿⡿⠿⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣶⣥⣥⣤⣄⣸⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠛⣿⠓⠓⠒⣿⠒⠒⠒⠒⠒⠒⠂⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡡⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⡏⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣯⣴⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣷⣥⣽⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⣤⣤⣤⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤
⡛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠛⠉⠛⠛⠛⠛⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡟⠿⠟⠛⠛⠙⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣳⡺⣿⣿⣟⣛⣿⣿⣿⣫⣿⣿⣣⣤⣾⣿⣿⣥⡀⣀⠀⠀⠀⠀⠀⠀⢀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⣿⣿⣿⣟⣻⣿⣿⢋⣛⣛⣿⢰⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠛⠛⠻⠿⢿⡿⠿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢁⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠾⠿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠈⡁⠀⠀⠈⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠓⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⡆⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠉⠉⠀⠀⠀⠸⣿⡿⠟⠃⠀⠀⠀⠀⠀⣀⣀⡀⠀⢀⣀⣀⣀⢀⠀⣠⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⢀⠀⠀⣀⣠⣀
⣀⠀⠀⠀⠂⠒⠾⠶⠿⢿⣷⣦⠀⠆⠀⣠⣤⣿⣿⣶⣾⣿⣾⣿⣿⣚⣁⣁⡉⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠛⠻⠿⣿⣿⣿⣿⣿⡿⠻⢿⢨⣷⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⠁⠐⢺⣿⣟⡻⢿⣿⣿⠿⢿⣿⣿⣿⣿⡏⠀⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⣀⣴⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠛⠛⠳⠤⣿⢀⡙⣤⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠃⠀⡀⠀⠀⣾⣿⣿⣿⣾⣿⣷⣾⣿⣷⣮⣭⣭⣧⣀⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⣿⣿⣿⣿⢽⣿⣿⣿⣿⢿⣿⣿⡿⣳⣿⢜⠸⠛⠉⠉⠉⠉
⠉⠉⠁⠀⣉⠁⠀⣿⠀⢠⣤⠀⠀⣭⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢀⠀⠀⠛⠻⠿⠟⠛⠻⠟⢷⣷⣿⣷⣿⣿⣟⡿⠧⠠⣄⠀⠀⠀⠀
⣤⡄⠀⠀⣿⠇⠀⠀⢨⣧⣀⣰⡂⢀⣾⣿⣿⣿⣿⡿⠟⠳⠶⠖⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣾⣿⡗⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⠷⠿⣟⠛⡛⢻⣿
⣍⢾⣶⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⠿⠿⠿⠿⠿⢟⣛⣛⣋⣉⣹⣛
⡯⠎⣿⣿⣿⣭⣤⣭⣧⠀⠀⣸⣿⣿⣿⣿⣿⣿⡟⢒⣶⣒⢂⢒⢓⡀⠀⠥⠤⠾⠀⠹⣿⣿⣾⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⠤⡄⣤⡤⣤⣤⣶⣶⣴⡶⣶⢶⡶⡶⡿⣿⣿⠉⠉⢹⢿
⠟⠳⣿⡿⠿⠮⠀⢸⡧⠀⠐⠟⠿⠿⠛⠛⠛⢛⣀⣉⣿⠏⠩⢬⢨⡍⠡⠿⠼⠇⠀⠀⠹⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠈⢿⣿⣿⣿⣿⣿⣿⠉⠿⠄⠤⣭⣭⣿⡿⣿⣿⣿⣿⣿⢿⣧⣧⡄⣘⣿⠀⠀⣾⣿
⠀⡀⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⠭⠉⠉⠈⠄⠩⢭⠌⠉⠁⠀⠀⠀⠈⢰⣿⣶⣽⡿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠈⠻⠿⣿⣿⡿⠏⠀⠀⠀⠀⠉⣿⣿⠒⠀⣸⣿⣿⣿⢿⣿⡇⡛⢿⣿⠶⠶⣿⣿
⢿⣛⣿⣶⡿⢿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⢀⠋⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠟⣋⡁⠀⠀⠀⣨⣽⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⠀⡀⠿⠛⠉⠻⢻⣿⡧⠶⠶⢿⠶⠿⣿⣿
⠙⠛⣻⣽⣷⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⠇⠀⠀⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣴⣿⣶⣷⣶⣄⣼⣷⡇⡤⢀⣼⠀⠀⣿⣿
⡦⢠⣾⡋⢙⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⡿⠤⣰⡀⢻⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣷⢉⣻⣿⣦⢸⣿⣿
⣶⠀⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣯⣹⣿⣿⣼⣿⣿
⣿⣶⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣇⡷⡀⠃⣼⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⡿⢿⢿⣿⣿⣯⣿⠟⠉⢹⣛⣻
⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡧⡝⠁⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠿⠿⣿⠏⢠⠙⠟⠀⠀⣹⣿⣿
⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⠈⠀⠎⡆⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⣠⢄⣀⣀⣤⣽⣿⣿
⣿⣿⣿⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⠈⠁⠸⣟⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⠋⠋⠉⠀⠈⢸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣷⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣦⣠⣴⡆⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⡗⠀⠈⠘⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣯⣉⣽⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣧⣠⠀⠀⠛⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⡿⠁⠈⢿⡿⠿⠿⠿⠿⠿⠿⠿⠿⢿
⠛⠛⠛⣿⣿⡿⢿⣶⣾⣿⡿⠿⡿⠿⠿⠿⠿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠿⢿⠄⠀⢸⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡟⠀⠀⢸⣿⣿⣿⠿⣿⣶⣶⣾⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠂⠋⠟⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠈⠹⠁⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠁⠀⠀⠈⠉⠙⠛⠀⠙⠟⠻⠿⠿⠿
⢀⡀⡰⡇⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⣹⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢤⡶
⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣇⠀⠄⠀⠀⢸⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⢶⡶⠶⠶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⢄⠀⠀⠀⢸⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⣶⠒⠒⠒⠒⠒⠒⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡧⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⠐⢬⠄⠄⠀⢸⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣣⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠷⠶⠾⢿⡿⠿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣏⣴⢄⡵⢆⠀⢸⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠐⠛⠛⣿⠓⠒⠒⣿⠒⠒⠒⠒⠒⠒⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡏⡳⠘⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣯⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣾⣿⣿⣿⣿⣿⣷⣤⣤⣤⣴⣶⣼⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣥⣤⣤⣤⣤⣿⣤⣤⣤⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤
⡙⢻⢻⣿⠿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⠋⠋⠉⠉⠛⠛⠛⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠟⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⢿⣿⣿
⠒⡺⢿⣿⣇⣛⣻⣿⣟⣛⣻⣿⣃⣤⣿⣧⣄⡀⠀⠀⠀⣀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⣿⣿⣿⣛⢻⣿⣿⢃⣙⣛⣯⠐⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠻⠿⠟⠛⠻⠿⠿⠿⠟⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢁⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠰⠾⠟⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠉⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠓⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⡄⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠉⠉⠀⠀⠀⠸⣿⡿⠟⠃⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⣀⣀⣀⢀⠀⣠⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⣀⠀⠀⠀⠀⠀⢀⠀⠀⣀⣠⣀
⣀⠀⠀⠀⠀⠒⠾⠶⠿⢿⣷⣦⠀⠄⠀⣠⣤⣾⣿⣶⣾⣿⣾⣿⣿⣚⣁⣁⡉⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠛⠻⠿⡿⢿⣿⣿⣿⡿⠻⢿⢰⣷⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⠁⠐⢾⣿⣛⡻⢿⣿⣿⠿⢿⣿⣿⣿⣿⡏⠀⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⢀⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠛⠛⠣⠤⣿⢀⡛⣴⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠃⠀⡀⠀⠀⣾⣿⣿⣿⣾⣿⣷⣾⣿⣷⣾⣭⣭⣧⣀⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⢿⢇⣽⢼⠙⠛⠉⠉⠉⠉
⠉⠉⠁⠀⢉⠁⠀⢿⠀⢠⣤⠀⠀⣭⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢀⠀⠀⠍⠻⠿⠟⠛⠻⠛⢳⣶⣿⣿⣿⣿⣿⡿⠧⠠⣄⠀⠀⠀⡀
⣤⡄⠀⠀⣿⡃⠀⠀⢸⣧⣀⣀⡀⢀⣼⣿⣿⣿⣿⡿⠟⠳⠶⠖⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⣺⣿⣿⣿⣿⣿⣿⣿⠷⠿⣟⠛⡛⢻⣻
⣏⠶⣶⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⠿⠿⠿⠿⠿⢟⣛⣻⣋⣉⣹⣛
⡯⡌⣿⣿⣿⣭⣤⣭⣇⠀⠀⣸⣿⣿⣿⣿⣿⣿⡟⣒⣶⠒⢂⢴⢒⡀⠀⠥⠠⠞⠀⠹⣿⣿⣾⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⠤⡄⣤⡤⣤⣤⣶⣶⣴⣶⣶⢶⡶⡶⡿⣿⣿⠉⠉⢹⢿
⠟⠳⣿⠿⠿⠭⠀⢸⡇⠀⠐⠟⠿⠿⠛⠛⠛⢛⣀⣉⣽⠯⠉⣮⢨⡍⠠⠯⠼⠅⠀⠀⠹⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠈⢿⣿⣿⣿⣿⣿⣿⠁⢿⠄⠤⣬⣭⣿⡿⣿⢿⣿⣿⣿⢿⣧⣧⡄⢘⣿⠀⠀⣾⣿
⠀⡀⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⠭⠉⠩⠀⠄⠩⠥⠌⠉⠁⠀⠀⠀⠈⢰⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠈⠻⠿⣿⣿⡿⠏⠀⠀⠀⠀⠉⣿⣿⠒⠀⣸⣿⣿⣿⢿⣿⡇⠛⢿⣿⠶⠶⣿⣿
⢿⡛⣿⣶⡿⢿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠟⣋⡁⠀⠀⠀⣨⣽⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⠀⣠⠟⠛⠉⠹⢻⣿⡷⠶⠶⢿⠶⠿⣿⣿
⠙⠛⣻⣽⣷⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⠇⠀⠀⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣴⣿⣷⣾⣶⣄⣴⣷⡇⡤⣄⣼⠀⠀⣿⣿
⡦⢠⣾⡋⢙⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⡿⣤⣰⠀⢻⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣧⢙⣺⣿⣦⢸⣿⣿
⣦⠀⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣯⣹⣿⣿⣼⣿⣿
⣿⣶⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣇⣷⢀⠃⣼⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⡿⢿⢿⣿⣿⣯⣿⠟⠉⢹⣛⣻
⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣽⡷⡍⠃⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠿⠿⣿⠏⢠⠙⠟⠀⠀⣹⣿⣿
⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⠀⠀⠜⠆⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣤⢄⣀⣀⣤⣽⣿⣿
⣿⣿⣿⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⠈⢀⠹⣏⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⠋⠋⠉⠀⠈⢸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣷⣶⣦⣤⣤⣤⣤⣤⣤⣤⣴⣦⣀⣴⡆⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⡟⠀⠀⠸⣯⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣯⣉⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⡇⣤⠀⠀⠙⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⡿⠁⠈⢿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠛⠛⠛⣿⣿⡿⠿⣶⣾⣿⡿⠿⠿⠿⠿⠿⠿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠛⢷⡄⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡟⠀⠀⢸⣷⣿⣿⠿⣿⣶⣶⣾⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠂⠉⠟⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⠐⠀⠋⠁⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠁⠀⠀⠈⠉⠛⠛⠀⠙⠟⠻⠿⠿⠿
⠀⡀⠰⡇⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⣸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠤⠶
⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠁⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⢶⡶⠶⠶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⢠⠀⠀⠀⢸⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠒⣶⠒⠒⠒⠒⠒⠒⠂⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡧⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⠀⠰⠀⠂⠀⢸⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⢿⡿⠷⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣧⡾⢄⡶⠆⠀⢸⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠐⠛⠛⣿⠛⠒⠒⣿⠒⠒⠒⠒⠒⠒⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡏⡳⢈⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣧⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣾⣿⣿⣿⣿⣿⣷⣤⣤⣤⣴⣶⣼⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣥⣤⣤⣤⣤⣿⣤⣤⣤⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤
⡙⢺⢻⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⠋⠉⠉⠉⠉⠛⠛⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⢿⣿⣿
⠓⡸⢻⣿⣋⣛⣻⣿⣿⣋⣻⣿⣃⣤⣿⣧⣄⡀⢀⡀⠀⣀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⣿⣿⣿⣛⣻⣿⣿⢃⣘⣛⣿⠐⣻⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠟⠻⠿⠟⠛⠻⠟⠿⠿⠟⠻⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣶⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣁⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢶⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠘⠓⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠬⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠉⠉⠀⠀⠀⢸⣿⡿⠿⠃⠀⠀⠀⠀⠀⣀⣀⡀⠀⣀⣀⣀⣀⣀⣀⣄⡀⣀⣠⣀⣀⠀⠀⠀⠀⡀⠀⢀⣀⣀⣀⣀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⣀⡀⠀⠀⠀⢀⣀⣀⣀⣀⣤⣀
⣀⠀⠀⠀⠂⠒⠾⠶⠿⢿⣷⣦⠀⠆⠀⠀⠀⠉⣩⣅⣐⣿⣿⣿⣿⣟⣡⣿⡉⢃⢸⣿⣿⣿⣿⣶⣷⣿⣿⣿⣿⣿⣿⣿⣷⠐⢠⣶⣶⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠛⠻⠿⣿⣿⣿⣿⣿⡿⠿⣿⢸⣿⠛⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠸⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⣿⣿⣿⣿⣿⣿⣿⡿⠀⢀⣴⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠛⠛⠳⠦⣿⢆⡛⢳⠄⠀⣺⣿⣿⣿⣿⣿⣿⣿⡇⢀⡀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⢀⣿⣿⣿⣿⣿⣿⣿⠃⠀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠛⠉⠉⠉⠉
⠉⠉⠁⠀⢉⠁⠀⣿⠀⢰⣤⠄⠀⣽⣿⠆⠀⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠘⣿⣯⣙⡿⢿⣿⡿⠟⢛⣟⣻⣿⡿⡀⢴⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠍⠿⢿⡿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠷⠄⣤⠀⠀⠀⡀
⣤⣄⠀⢀⣿⡅⠀⠀⢸⣧⣀⣤⠆⠁⠀⠀⢀⣿⣿⣿⣿⣿⣿⠿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⣶⣿⣴⣤⣯⣿⣯⣽⣾⣷⣿⣿⠛⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠷⢿⣟⠛⡛⢻⣿
⣏⣿⣶⣿⣿⣿⣶⣿⣿⣿⣿⣿⡗⠀⠂⣰⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⠿⠿⠿⠿⠿⢟⣛⣿⣋⣋⣻⣻
⡿⣯⣿⣿⣿⣭⣤⣭⣇⣠⣀⣸⡿⠀⣿⣿⣿⣿⣿⣿⣿⡟⢀⣾⢓⡀⠀⣭⠠⠿⠂⢿⣿⣿⣿⠿⢟⣿⣿⣿⣿⣿⣿⣿⣿⠇⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢤⡄⣤⣤⣤⣤⣿⣶⣴⣶⣶⢶⡶⣶⣿⣿⣿⠉⠉⢹⣿
⠟⠻⣿⠿⠿⠿⠄⢼⣯⣭⣽⡟⠀⢼⣿⣿⣿⣿⣿⢿⣿⠯⢉⣯⣉⡍⠡⡿⠾⠅⠀⢘⣿⣿⣛⡛⠚⠛⣻⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⠇⠀⢤⣭⣽⣿⡿⣿⣿⣿⣿⣿⣿⣧⣧⡄⣸⣿⠀⠀⣾⣿
⡀⣀⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠫⠀⠌⠹⢯⡼⠏⠁⠀⠀⠐⠀⢸⣿⣿⣿⣛⣛⣻⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠉⠛⠿⠿⠿⠛⠀⠀⠀⠉⣿⣿⠒⠀⣸⣿⣿⣿⢿⣿⡇⠛⢿⣿⠶⠶⣿⣿
⢿⣟⣿⣶⡿⢿⣿⠛⡟⠻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⢿⣿⡿⠿⢿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⠀⢠⠿⠛⠉⠻⢿⣿⡷⠶⠶⢿⠶⠿⣿⣿
⠙⠛⣿⣿⣷⠊⣭⣝⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣭⣶⡀⠀⠀⣠⣶⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣴⣿⣷⣶⣶⣄⣼⣿⡇⣤⣄⣾⠄⠁⣿⣿
⡦⢠⣾⡏⠛⣧⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⡟⠁⠁⠸⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣷⠙⣻⣿⣶⢸⣿⣿
⣷⠀⣿⣿⣦⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠿⠂⡾⡄⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣯⣻⣿⣿⣾⣿⣿
⣿⣶⣾⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⢀⡄⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⡿⢿⣿⣿⣿⣯⣿⠟⠉⢽⣟⣿
⣿⣿⣿⣿⡿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣾⡇⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠿⠿⣿⠏⢡⠙⠟⠀⠀⣹⣿⣿
⣿⣿⣿⣿⣷⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡿⢴⠁⠁⠸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⣤⢤⣀⣀⣤⣽⣿⣿
⣿⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⡷⠶⢳⢀⢰⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠋⠛⠉⠊⠈⢼⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣷⣤⣤⣀⣀⠀⠀⣀⣀⣀⣀⣄⣀⣴⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⡇⠐⠿⣿⢼⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣯⣉⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣾⠂⠀⢹⣼⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⡿⠁⠈⢿⡿⠿⠿⢿⠿⠿⠿⠿⠿⠿
⠛⠛⠛⣿⣿⡿⠿⣶⣾⣿⣿⠿⡿⠿⠿⠿⠿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣇⠀⢠⣾⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⠀⠀⢼⣿⣿⣿⠿⣿⣶⣶⣾⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠗⠻⠿⠖⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⢇⠻⢿⡔⣯⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠁⠀⠀⠈⠙⠙⠛⠀⠙⠛⠻⠿⠿⠿
⢀⡀⢰⣖⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣄⠀⠀⠠⢏⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠤⠶
⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⡿⣿⠶⠀⠦⣜⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠃⠀⠀⠀⠉⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⢶⡶⠶⠶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠒⣶⠒⠒⠒⠒⠒⠒⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠂⢸⡷⠴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠾⠶⠾⠿⠷⠾⠶⢾⡿⠿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠐⠛⠛⣿⠓⠓⠒⣿⠒⠒⠒⠒⠒⠒⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⠢⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣯⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣷⣤⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣤⣤⣤⣤⣿⣤⣤⣤⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤
⡛⢻⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠋⠙⠉⠛⠛⠛⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⠛⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣓⡺⢻⣿⣟⣛⣿⣿⣿⣻⣿⣿⣣⣤⣿⣷⣌⡀⡀⡀⣀⣀⠀⠀⠀⢀⡈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⣿⣿⣿⣛⣻⣿⣿⢋⣛⣛⣿⢰⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠟⠛⠻⠿⢿⡿⠟⠿⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣶⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣡⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⠀⠀⠀⠀⢠⠤⠀⠀⠀⠀⠀⠀⠀⠙⠓⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡖⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⠉⠉⠀⠀⠀⢸⣿⡿⠿⠳⠀⠀⠀⠀⠀⣀⣀⣀⠀⣀⣀⣀⣠⣀⣀⣤⣀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⢀⣀⣀⣀⣀⣀⣄⣤⣤
⣀⠀⠀⠀⠂⠒⠾⢷⠿⢿⣷⣦⠠⠆⡀⠀⠀⠉⢩⣅⡀⣿⣿⣿⣿⣟⣭⣽⣭⣧⣌⣀⠀⠀⠀⢀⢈⠉⣀⣠⣤⣦⣦⠀⠀⠀⠰⠶⢶⠆⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠛⠻⠿⣿⢿⣿⣿⣿⡿⠿⣿⢼⣿⠋⠀⠀⢶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⠇⢻⣿⣿⣿⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⠂⢠⣾⣾⣿⣿⣷⣦⣀⠀⣀⣶⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠁⠛⠛⠳⠦⣿⢆⡛⣶⠀⣴⣿⣿⣿⣿⣿⣿⣿⡿⠇⢀⡆⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣀⢿⣿⣿⣿⣿⣿⣿⣿⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠉⠉⠉⠉
⠉⠉⠉⠁⣉⠉⡀⣿⡀⢱⣤⠄⠀⣽⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠁⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣠⣾⣽⣿⣿⣿⣿⣿⣿⣿⣿⠀⠏⠻⢿⣿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡴⣤⠀⠀⠀⣀
⣤⣄⠀⢀⣿⡇⠀⠀⢹⣧⣁⣦⠆⠁⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⠀⠚⣿⣿⣭⠻⢿⣿⡿⠛⣫⣯⣿⣿⣿⣧⣼⣿⠇⢸⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⠛⡛⢻⣿
⣏⣷⣾⣿⣿⣿⣾⣿⣿⣿⣿⣿⣗⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣶⣿⣾⣶⣿⣿⣿⣾⣿⣿⣿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⢿⣿⣿⡿⠿⠿⠿⠿⢟⣛⣻⣋⣋⣻⣻
⣿⣿⣿⣿⣿⣭⣤⣭⣇⣠⣄⣸⣿⠀⠀⢰⣿⣿⣿⣿⣿⣿⠋⣰⢒⡀⠰⡧⠝⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⡄⣤⣤⣤⣤⣿⣶⣶⡶⣶⣶⡶⣶⣿⣿⣿⠉⠉⢹⣿
⠟⠻⣿⡿⠿⠿⠄⢼⣯⣭⣽⣿⣿⠀⣰⣿⣿⣿⣿⣿⣿⣇⢭⣯⣬⡍⠩⣿⣿⠆⠘⣿⣿⣿⡿⠟⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠂⢾⣿⣿⣿⣿⣿⣿⣿⣿⠀⢤⣭⣽⣿⡿⣿⣿⣿⣿⣿⣿⣿⣧⣄⣽⣿⠀⠀⣾⣿
⡀⣄⠀⠀⢠⡄⠀⠀⠀⠀⠀⣿⡟⢠⣿⣿⣿⣿⣿⣿⡟⣁⡏⠹⢯⡭⠍⠁⠀⠀⠘⠹⣿⣯⣉⣙⣉⣹⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⠀⠀⠉⣿⣿⠒⠀⣽⣿⣿⣿⣿⣿⡏⡻⢿⣿⡶⡶⣿⣿
⢿⣟⣿⣾⡿⢿⣿⠟⡟⢛⣻⡇⠀⢸⣿⣿⣿⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣭⣭⣷⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⡇⠀⠀⠀⢿⣿⠀⣸⠿⠛⠉⠻⢿⣿⡷⠶⠶⣿⠶⡿⣿⣿
⠙⣛⣿⣿⣷⠚⣭⣭⡉⠉⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⢟⠁⠈⠉⠉⢉⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠿⠟⠃⠀⠀⠀⠀⣿⣴⣿⣿⣿⣶⣄⣼⣿⡇⣤⣄⣼⡀⠁⣿⣿
⡦⢴⣾⡏⢻⣧⣿⣿⡟⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡗⠀⠀⣴⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣷⣛⣻⣿⣦⢸⣿⣿
⣷⠄⣿⣿⣦⣽⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⡄⠀⡄⢹⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣹⣿⣿⣾⣿⣿
⣿⣶⣾⣿⣿⣿⣷⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠉⠘⢱⢮⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⡿⢿⣿⣿⣿⣯⣿⡟⠉⣽⣟⣿
⣿⣿⣿⣿⡿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣠⠀⡿⢹⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡿⠿⣿⡏⢡⠙⠿⠀⠀⣽⣿⣿
⣿⣿⣿⣿⣷⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡟⡟⠉⠓⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⢤⣀⣠⣤⣽⣿⣿
⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠟⢧⠘⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠋⠏⠙⠊⠈⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠹⢿⣧⣜⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣉⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⢆⢈⠿⣿⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡿⠿⠿⢿⡿⠿⠿⠿⠿⢿
⠟⠛⠛⣿⣿⡿⢿⣶⣶⣶⡤⠀⠀⠀⠶⠿⠿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⣿⡅⠀⢻⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⡆⠀⠀⣻⣿⣿⣿⠿⣿⣷⣶⣿⣿⣿
⠀⠀⠀⠠⠄⠀⠈⠿⠫⠿⠲⠆⠀⠀⠀⠀⠀⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡷⣿⣿⢤⢼⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠁⠀⠀⠈⠙⠛⠛⠀⠛⠻⠿⠿⠿⢿
⢀⣀⣰⣗⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⡟⣿⡖⣿⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣦⣷
⠁⠉⠉⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣼⢾⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡟⣿⠿⠟⠙⠋⢻⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⢶⡶⠶⠶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠁⠀⠀⠀⠀⢸⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠒⣶⠒⠒⠒⠒⠒⠒⠒⠐⠒⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠖⠒⢺⡷⠶⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠾⠿⠿⠿⠾⢿⡿⠿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⠂⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠐⠛⠛⣿⠛⠒⠒⣿⠒⠒⠒⠒⠒⠒⠂⠀⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣤⣴⣿⣦⣤⣦⣿⣿⣿⣿⣿⣿⣿⣧⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣤⣤⣤⣤⣿⣤⣤⣤⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤
⡛⢻⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠉⠉⠛⠛⠛⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⠛⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣷⣺⣿⣿⣟⣛⣿⣿⣿⣫⣿⣿⣷⣤⣿⣿⣌⣀⣀⠀⢀⣀⠀⠀⠀⠀⣀⣈⣻⣿⣿⣿⣏⣿⣋⣉⣉⣉⣿⣿⣿⣿⣿⣿⣿⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⣿⣿⣿⣻⣻⣿⣿⣋⣛⣛⣿⢱⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠛⠻⠿⢿⡿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢡⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠓⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠉⠉⠀⠀⠀⠸⣿⡿⠟⠃⠀⠀⠀⠀⠀⣀⣀⣀⠀⣀⣀⣀⣠⣀⠀⣀⣀⠀⡄⣠⣶⣶⣶⣶⣶⣶⣶⣶⣾⣶⣤⣄⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⡀⢀⢀⣀⢀⠀⠀⠀⢀⠀⣀⡀⡀⣤⣀
⣀⠀⠀⠀⠂⠐⠾⠶⠿⢿⣷⣤⠀⠆⠀⠀⠀⠉⢩⡄⠀⢿⣿⣿⣿⣟⣉⣏⡠⢡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠄⠀⠶⢶⠆⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣸⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠛⠻⠿⣿⢿⣿⣿⣿⡿⠻⢿⢸⣿⠋⠀⠀⢒⣞⣶⣶⣶⣿⣿⣿⣿⢿⣿⠉⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢠⣶⠀⠈⠀⠀⠀⠀⠀⠀⠀⣀⣴⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠛⠛⠱⠤⣿⢄⡛⣶⠀⠀⠕⠹⠻⠏⠉⠛⠛⠛⠇⢀⡄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠉⠉⠉⠉
⠉⠉⠁⠀⢉⠁⠀⢿⠀⢠⣤⠀⠀⣭⣿⠄⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣯⣿⣿⣵⣶⣿⣿⣟⣛⣛⠀⢀⣴⣖⣤⣄⣀⣀⠀⢀⠀⠀⠍⠿⢿⡿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠄⣄⠀⠀⠀⡀
⣤⡄⠀⠀⣿⡃⠀⠀⢹⣧⣀⣴⠆⠀⠀⠀⠀⠀⠀⠸⠀⠲⠶⠶⠂⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⠀⠀⠀⠀⡀⠀⣾⣿⡧⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠷⢿⣟⠛⡛⢻⣿
⣍⣿⣶⣿⣿⣷⣶⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣗⠀⠀⠀⣹⣿⣿⡀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡿⠿⠿⠿⠿⢟⣛⣻⣋⣋⣹⣻
⡿⣯⣿⣯⣿⣭⣄⣭⣇⣠⣄⣸⣿⠀⠀⢀⣃⣒⠂⠐⠒⠒⠀⢘⢂⡀⠠⠤⠾⠚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⢿⣿⡿⠿⣿⣧⣤⣼⣿⣿⣿⢤⡄⣤⣤⣤⣤⣾⣶⣴⡶⣶⢶⡶⣶⣿⣿⣿⠉⠉⢹⣿
⠟⠻⣿⠿⠿⠾⠀⢼⣧⣭⣽⣿⣿⠀⠀⢰⠆⣦⣀⢀⣠⠬⠩⢮⠨⡍⠡⠿⠿⡧⠘⣿⣿⣿⣍⣉⣉⣻⣿⣿⣿⣿⣿⣿⠧⠤⠴⠧⢤⠤⠼⡤⠀⠛⠋⢙⣿⠀⢠⣬⣽⣿⡿⣿⣿⣿⣿⣿⣾⣧⣧⡄⣸⣿⠀⠀⣾⣿
⠀⣄⠀⠀⢠⡄⠀⠀⠀⠀⠀⢾⣿⠀⡄⢰⣦⡬⡍⠉⠭⢭⣩⡍⠭⠉⢍⣄⠒⠁⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢀⡀⢀⡀⣤⣾⠻⢾⣿⡀⠀⠉⣿⣿⠒⠀⣸⣿⣿⣿⢿⣿⡇⠛⢿⣿⠶⠶⣿⣿
⢿⣛⣿⣶⡿⢿⣿⠛⡟⢛⢛⣿⣿⣶⣷⣾⣭⣧⠄⠠⢬⢻⡥⣧⠤⠄⠉⠀⠀⠀⠀⢻⣿⣿⣷⣶⣷⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠈⠉⠹⠿⢿⣿⣿⣼⣿⠁⠀⠀⢿⣿⠀⢰⠿⠛⠉⠹⢿⡿⡧⠶⠶⣿⠶⠿⣿⣿
⠙⠛⣻⣿⣷⠊⣭⣍⡉⠉⢛⣛⣿⣿⣿⣿⣿⡿⠟⠃⠉⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣷⡌⠉⠉⢛⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠉⠁⠀⡆⣿⣴⣿⣶⣾⣦⣄⣴⣷⡇⣤⢀⣼⠀⠁⣿⣿
⡦⢠⣿⡏⠹⣧⣿⣿⡟⠾⠿⢿⡇⣸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⢟⣋⠁⠀⠀⠈⣻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢛⣺⣿⣶⢸⣿⣿
⣧⠀⣾⣿⣦⣬⡗⠀⢠⡄⠀⠀⠐⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠂⠀⢠⣾⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣹⣿⣿⣼⣿⣿
⣿⣶⣾⣿⣿⣿⣷⡆⣠⣐⡿⣌⠀⠙⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡯⠀⠀⠈⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣯⣿⠟⠉⢹⣛⣻
⣿⣿⣿⣿⡿⢿⣿⣧⣿⣿⣯⡄⠀⢦⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡏⠀⢁⠠⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⠿⣿⠿⠿⣿⠏⢠⠙⠟⠀⠀⣹⣿⣿
⣿⣿⣿⣿⣷⣾⣿⡛⠘⢛⡏⠀⠸⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⣆⠀⠶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣇⠀⠀⠀⠀⣀⣀⣠⢄⣀⣀⣠⣼⣿⣿
⣿⣿⣿⣿⣿⣿⡿⠛⠁⣽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⢱⣟⠃⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣷⡤⠀⣿⠋⠋⠉⠈⠈⢹⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣳⠟⣃⡀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣯⣉⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣽⣧⣿⣷⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⡟⠁⠈⢿⡿⠿⠿⢿⠿⠿⠿⠿⠿⠿
⠛⠛⠛⣿⣿⡿⠿⣶⣶⣿⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣏⠙⠻⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⠀⠀⢸⣷⣿⣿⠿⣿⣶⣶⣾⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠡⠛⠻⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⡃⠀⠈⣏⣿⣿⣿⣇⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠁⠀⠀⠈⠉⠛⠛⠀⠛⠛⠻⠿⠿⠿
⠀⢀⠰⡆⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡇⣿⡆⠈⠁⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠤⡶
⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⡄⠀⠀⠀⠀⠀⣿⣿⣿⠛⠻⣷⡄⣾⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⣿⣿⣿⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠄⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢠⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⣶⠒⠒⠒⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⢸⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠷⠶⠶⠶⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⣸⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠛⣿⠓⠒⠒⣿⠒⠒⠒⠒⠒⠒⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⣛⣛⡛⢿⣿⣟⣛⣛⠛⠃⣿⣿⣟⣛⠀⠀⢀⣉⣛⡙⢿⣟⡛⣿⠋⠿⣛⣛⣋⡀⠀⠀⣀⡀⣀⣀⣀⣀⡀⣀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⠸⢻⣿⠋⢉⣛⡃⣴⡟⣩⡝⣷⣄⣿⢿⣭⣿⣧⣴⣿⢫⣝⣛⡀⢻⡇⣿⣴⣼⣿⣍⣉⡁⠀⠀⣿⡇⠉⢹⡿⢩⣽⣿⢠⣤⣤⣤⣤⣿⣤⣤⣤⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤
⠉⢻⢹⣿⣿⣿⣿⣿⣿⡹⠋⠁⠀⠀⠀⠀⢰⡘⣿⣄⣉⣿⡇⢻⣧⣈⣡⣿⠛⢿⣎⣻⣿⡿⠹⣿⣄⣉⣿⡇⢼⣇⣉⣈⢸⣿⣉⣉⡁⠀⠀⣿⡇⠀⢸⡿⠈⠀⣿⠈⠙⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿
⣗⣐⣻⣿⣛⣛⣻⣿⣿⡃⠀⠀⠀⠀⠀⢀⣸⣿⣾⣭⣭⣭⣶⣷⣬⣭⣭⣥⣀⣠⣭⣭⣥⣀⣀⣈⣉⣉⣭⣶⣬⣭⣍⣉⣤⣭⣭⣍⣁⠀⠀⠈⠁⠀⠈⠁⠀⠀⠉⠀⠀⠀⠙⢻⣿⣿⣿⣛⣻⣿⣿⣃⣘⣛⣷⢐⣻⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠻⠟⠛⠻⢿⠿⠚⠿⣿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣶⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢁⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⡿⠛⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠘⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠉⠉⠀⠀⠀⢸⣿⡿⠿⠣⠀⠀⠀⠀⠀⣀⣀⣀⠀⢀⣀⣀⣀⣀⢀⣄⠀⠀⣂⠀⠀⢀⠀⣈⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⣀⡀⢀⠀⠀⢀⣀⢀⢀⣤⣠⣀
⣀⠀⠀⠀⠂⠒⠾⠷⠿⢿⣷⣦⠀⠆⠀⠀⠀⠉⢩⡄⠀⢿⣿⣿⣿⣞⣩⣭⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠐⠶⢶⠆⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠛⠻⠿⣿⢿⣿⣿⣿⡿⠻⢿⢸⣿⠋⠀⠀⢒⣾⣶⣾⣷⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣤⡀⡀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⣀⣴⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠛⠛⠳⠤⣿⢆⡛⢶⠀⠀⠿⠛⠻⠏⠉⠙⠛⠛⠇⢀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣿⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠝⠛⠉⠉⠉⠉
⠉⠉⠉⠁⢉⠁⠀⢿⠀⢰⣤⠄⠀⣭⣿⠄⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡻⣿⣿⡿⠟⣿⣿⣿⣿⣿⡇⠀⠀⢁⡀⣺⣖⣤⣄⣀⣀⠀⢀⠀⠀⠝⠻⢿⡿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠄⣤⠀⠀⠀⡀
⣤⣄⠀⠀⣿⡇⠀⠀⢹⣧⣀⣤⠆⠀⠀⠀⠀⠀⠀⠸⠀⠲⠶⠶⠆⠀⠀⠀⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣽⣿⣷⣠⣾⣿⡇⠀⠀⠀⠀⠀⡀⠀⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠷⢿⣿⠛⡛⢻⣿
⣏⣿⣶⣿⣿⣷⣶⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣿⣟⣿⣷⠀⠀⠀⣸⣿⣿⡀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡿⠿⠿⠿⠿⢟⣛⣻⣋⣉⣹⣿
⣿⣯⣿⣿⣿⣭⣤⣭⣇⣠⣀⣸⣿⠀⡀⢐⣓⣒⠂⠐⠒⠓⢀⢸⢒⡀⠠⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⢿⡿⣿⣧⣤⣼⣿⣿⣿⢤⡄⣤⣤⣤⣤⣿⣶⣴⡶⣶⣶⡶⡶⡿⣿⣿⠉⠉⢹⣿
⠟⠻⣿⠿⠿⠾⠄⢼⣯⣭⣽⣿⣿⠀⠀⢰⠗⢶⣔⣀⣠⠼⠩⢯⣬⠍⠥⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠠⠤⢴⡧⢤⡤⠾⡤⠀⠛⠋⢩⣿⠀⢠⣭⣽⣿⡿⣿⣿⣿⣿⣿⣿⣧⣧⡄⣹⣿⠀⠀⣿⣿
⠀⣀⠀⠀⢠⡄⠀⠀⠀⠀⠀⢿⣿⠀⡄⢰⡦⡬⡭⠩⠭⢭⣽⡝⠯⠭⣭⣅⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⢀⡀⢀⡀⣤⣾⠻⢾⣿⡀⠀⠉⣿⣿⠒⠀⣸⣿⣿⣿⢿⣿⡇⠛⢿⣿⠶⠶⣿⣿
⢿⣟⣿⣶⡿⢿⣿⠛⡟⢛⣻⣿⣿⣶⣷⣾⣥⣥⡄⠠⣬⡟⣽⣷⡶⠀⠈⠁⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠉⠉⠹⠿⢿⣿⣿⣼⣿⠁⠀⠀⢿⣿⠀⢨⠿⠛⠉⠹⢻⣿⡧⠶⠶⢿⠶⠿⣿⣿
⠙⢛⣿⣿⣷⠊⣭⣭⡉⠉⣛⣛⣿⣿⣿⣿⣿⠿⠟⠋⠛⠉⠁⠁⠀⠀⠀⠀⠀⠀⢸⣿⣯⡉⠛⠛⠛⢛⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠋⠀⠀⡄⣿⣴⣿⣷⣿⣶⣄⣼⣷⡇⣤⢀⣼⠀⠀⣿⣿
⡦⢠⣿⡏⠻⣧⣿⣿⡟⠿⠿⢿⠧⣸⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⠟⠀⠀⠀⠙⣻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢛⣻⣿⣷⢸⣿⣿
⣷⠄⣿⣿⣦⣬⡷⠀⢠⣄⠀⠀⠀⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣷⣿⣿⡆⠄⢠⣼⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣹⣿⣿⣾⣿⣿
⣿⣶⣾⣿⣿⣿⣷⡆⣠⣕⡿⡌⠀⢙⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠈⣿⣿⣿⣿⡇⢀⣰⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣾⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣯⣿⠟⠉⢩⣛⣻
⣿⣿⣿⣿⡿⢿⣿⣧⣿⣿⣯⡅⠀⠒⠃⠀⠀⠀⠀⠀⣤⣤⣶⣶⣶⠀⠀⠀⠀⠀⣸⣿⣿⡟⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠿⣿⠿⠿⣿⠏⢠⠙⠟⠀⠀⣹⣿⣿
⣿⣿⣿⣿⣷⣾⣿⡛⠘⢛⡏⠀⠰⠆⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣧⣄⠀⠀⠀⣿⣿⣿⣇⣠⠀⢴⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣇⠀⠀⠀⠀⣀⢀⣤⢄⣀⣠⣤⣼⣿⣿
⣿⣿⣿⣿⣿⣿⡿⠛⠁⣽⠃⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⡏⠉⠑⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣷⡤⠀⣿⠋⠋⠉⠈⠈⣽⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣷⣶⡦⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⣿⣿⣿⡯⣄⢲⣸⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣯⣉⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⡇⣻⣾⣿⣾⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⡿⠁⠈⢿⡿⠿⠿⢿⡿⠿⠿⠿⠿⠿
⠛⠛⠛⣿⣿⡿⠿⣶⣶⣿⡿⠇⠀⠀⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠀⠀⠀⣿⣿⣿⣟⡿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⠀⠀⣸⣷⣿⣿⠿⣿⣶⣶⣾⣿⣿
⠀⠀⠀⠠⠀⠀⠀⠷⠻⠟⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⣿⣿⣿⡏⡇⠈⠙⣻⣿⣿⡇⠀⠈⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠁⠀⠀⠈⠉⠛⠛⠀⠙⠛⠻⠿⠿⠿
⢀⡀⣸⣇⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⡿⠻⠋⠁⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣡⣷⡁⠀⠛⣿⣿⡇⠀⠀⠀⠀⠈⠿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣤⡶
⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠋⠻⣋⡀⣹⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⠀⠀⠈⠑⢺⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⣶⠒⠒⠒⠒⠒⠂⠐⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡿⠀⠀⠀⠀⠀⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠷⠶⠶⠷⠶⠷⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⡇⠀⠀⠀⠀⠀⢹⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠛⣿⠛⠒⠒⣿⠒⠒⠒⠒⠒⠒⠒⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⢠⠀⠀⠀⠀⣀⣀⡀⠀⠀⢀⣀⣀⠀⣿⡿⣿⣟⣓⠀⠀⢀⣀⣀⡘⢿⣟⡛⠀⠀⠀⣀⣀⣀⡀⠀⠀⣀⡀⣀⣀⣀⣀⡀⣀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⣼⣤⣤⢤⣿⠫⢉⣛⡃⣼⡟⣭⣽⣷⣌⣿⢯⣭⣿⣧⣰⣿⢫⣍⣛⡂⢻⡇⣶⣴⣼⣿⣉⣉⡁⣤⡤⣿⡇⣭⢹⡟⣭⡽⣿⢠⣤⣤⣤⣤⣿⣤⣤⣤⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤
⡙⢻⢻⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⠛⠉⠙⠿⠘⣿⣄⣉⣿⡇⢻⣧⣈⣡⣿⠛⢿⣎⣻⣿⡿⠹⣿⣄⣉⣿⡇⢿⣇⣙⣋⢹⣿⣉⣉⡁⠈⠁⣿⡇⠀⢸⡿⠈⠁⣿⠈⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣛⣘⣻⣿⣋⣛⣻⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠈⠉⠉⢀⣺⣶⣭⣭⣥⣠⣀⣈⣉⣉⣭⣶⣬⣭⡉⠉⠀⠉⠉⠉⠁⠀⠀⠈⠁⠀⠈⠁⠀⠀⠉⠀⠀⠀⠙⢻⣿⣿⣿⣟⣻⣿⣿⣛⣙⣋⣿⣠⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣯⣿⠿⡿⠿⠿⠛⠿⠿⠛⠿⠿⠿⢿⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠿⠻⠿⠟⠿⠿⠿⠛⠻⢿⡿⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢡⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⠠⠄⠀⠀⠀⠀⠀⠀⠀⠘⠓⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠚⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⠉⠉⠀⠀⠀⢸⣿⡟⠟⠣⠀⠀⠀⠀⠀⣀⣀⣀⠀⢀⣀⣀⣀⣀⣀⣤⡀⠘⠛⠘⠀⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⠀⠀⢀⣀⣀⣀⣠⣄⣤⣠
⣀⠀⠀⠀⠂⠒⠾⠶⠿⢿⣷⣤⠀⠆⡀⠀⠀⠉⢩⠄⠀⢿⣿⣿⣿⣟⣩⣯⣬⣤⣄⣠⣤⣥⣤⣠⣴⣀⣀⣀⡀⢀⠀⠀⠀⠀⠒⠶⢶⠆⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠛⠻⠿⣿⢿⣿⣿⣿⡿⠿⢿⢰⣿⠋⠀⠀⢒⣾⣷⣾⣷⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⢀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⣠⣴⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠛⠛⠳⠤⣿⢆⡛⣶⠀⠀⠛⠛⠻⠏⠉⠙⠛⠛⠃⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⠛⠉⠉⠉⠉
⠉⠉⠁⠀⣉⠁⠁⣿⠈⢱⣤⠀⠀⣽⣿⠄⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠅⢿⡛⠀⠐⣻⣖⣤⣄⣀⣀⠀⢀⠀⠀⠟⠻⢿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠄⣤⠀⠀⠀⡀
⣤⣄⠀⢀⣿⡇⠀⠀⢹⣧⣀⣤⠆⠀⠀⠀⠀⠀⠀⠸⠀⠲⠶⠶⠂⠀⠀⣿⣿⣿⠻⣿⡿⠟⢛⣿⣿⣿⣿⣿⡇⠀⢀⣥⡄⠀⠀⠀⠀⠀⠀⡀⠀⣿⣿⡷⠀⠀⠀⠁⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⠛⡛⢻⣿
⣏⣿⣶⣿⣿⣿⣶⣿⣿⣿⣿⣿⣗⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⣿⣿⡟⠛⣿⣟⣿⣷⠀⠀⠀⣸⣿⣿⡀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡿⠿⠿⠿⠿⢟⣛⣻⣋⣋⣹⣻
⣿⢎⣿⣿⣿⣭⣤⣭⣇⣠⣄⣸⣿⠀⠂⢐⣓⣒⠂⣐⠒⠒⠀⣘⢃⡀⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⢿⣿⢿⡿⣿⣧⣤⣼⣿⣿⣿⢤⡄⣤⣤⣤⣤⣿⣶⣶⡶⣶⢶⡶⡶⣿⣿⣿⠉⠉⢹⣿
⠟⠻⣿⠿⠿⠼⠄⢼⣯⣭⣽⣿⣿⠀⠀⢸⠇⢶⣂⣀⣰⠬⠩⢯⣭⠍⠬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠠⠤⠴⡧⢤⡤⠾⡤⠀⠛⠋⢉⣿⠀⢠⣬⣽⣿⡿⣿⣿⣿⣿⣿⣿⣷⣧⡄⣸⣿⠀⠀⣾⣿
⠀⣀⠀⠀⢠⡄⠀⠀⠀⠀⠀⣿⣿⠀⡆⢰⡢⣌⡍⠩⠭⣭⣽⣭⠭⠉⣩⣿⣿⣿⣿⠿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⣀⢀⡀⢀⡀⢀⡀⣴⣾⠻⢾⣿⡀⠀⢉⣿⣿⠒⠀⣸⣿⣿⣿⣿⣿⡇⠛⢿⣿⠶⠶⣿⣿
⢿⣟⣿⣶⡿⢿⣿⠛⡟⢛⣻⣿⣿⣶⣷⣾⣥⣯⣤⣠⣼⣯⣽⣿⡤⠌⠉⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠈⠉⠻⠷⠿⠿⠿⠿⠿⣿⣿⣼⣿⠃⠀⠀⢿⣿⠀⣠⠿⠛⠉⠹⢺⣿⡷⠶⠶⣿⠶⠿⣿⣿
⠙⢛⣻⣭⣷⠊⣭⣭⡉⠉⣛⣻⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠋⠁⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⢿⣿⣿⠃⠀⠀⡎⣿⣴⣿⣷⣿⣶⣄⣼⣷⡇⣤⣄⣾⠀⠀⣿⣿
⡧⢠⣿⡏⠹⣧⣿⣿⡿⠾⠿⢿⠗⣸⣿⣿⠋⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡏⠉⠉⠉⢸⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠁⠀⢀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠛⣻⣿⣦⢹⣿⣿
⣧⠀⣿⣿⣦⣨⡧⠀⢠⣄⠀⠀⠀⣿⣿⡫⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣛⣫⣄⠀⠀⠀⢀⣼⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣿⣿⣼⣿⣿
⣿⣶⣾⣿⣿⣿⣷⡆⣨⣄⡿⣯⢤⢿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡿⠀⠀⢸⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣾⣾⣾⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣯⣿⠏⠉⢹⣛⣿
⣿⣿⣿⣿⡿⢿⣿⣧⣿⣿⣿⠥⠈⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡗⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠿⣿⠿⠿⣿⠏⢠⠙⠿⠀⠀⣹⣿⣿
⣿⣿⣿⣿⣷⣿⣿⡛⠘⢛⡏⠀⠰⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⢠⣀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣇⠀⠀⠀⠀⣀⢀⣤⢄⣀⣀⣤⣼⣿⣿
⣿⣿⣿⣿⣿⣿⡿⠛⠉⣽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣀⡀⠀⠀⠀⢸⣿⣿⡗⠷⠄⠙⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣷⡤⠀⣿⠋⠋⠉⠈⠈⣼⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⡀⠀⠀⢸⣿⣿⣷⣫⣔⢇⣼⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣯⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣧⠀⢸⣿⣿⣿⣻⣿⣾⣹⣿⣿⣿⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⡿⠉⠈⢿⡿⠿⠿⢿⠿⠿⠿⠿⠿⠿
⠛⠛⠛⣿⣿⡿⠿⣶⣶⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⡯⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡟⠀⠀⢸⣷⣿⣿⠿⣿⣶⣶⣾⣿⣿
⠀⠀⠀⠀⠄⠀⠀⠆⠻⠿⠂⠀⠀⠀⠀⠀⠀⠀⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⠀⠁⠂⠝⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠁⠀⠀⠉⠉⠛⠛⠀⠛⠻⠿⠿⠿⠿
⢀⣀⣸⣗⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⣸⣿⣿⠀⠀⠀⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠤⣾
⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⠀⠀⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⡿⠛⠉⠀⠀⠀⠀⢰⣿⣿⣿⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠆⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠒⣶⠒⠒⠒⠒⠒⠂⠐⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⠀⠀⠀⠀⠀⢻⣿⣿⡟⠁⠹⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠷⠾⠾⠾⠿⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠸⣿⣿⡇⠀⠀⠉⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠛⠛⣿⠛⠒⠒⣿⠒⠒⠒⠒⠒⠒⠐⠀⠐
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⢀⣀⣀⠀⣿⡿⣟⣛⣃⠀⠀⢀⣀⣀⡉⠛⢛⡀⠀⠀⠈⣉⣉⣁⡀⠀⠀⣀⡀⣀⣀⣀⣀⡀⣀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣤⣤⣤⢠⣿⠫⢍⣻⡃⣼⡟⣭⣽⣷⣌⣿⢿⣭⣿⣧⣴⣿⢫⣝⣛⠂⣾⡇⣤⣤⣼⣿⣍⣉⡁⠀⠀⣿⡇⣭⢹⡿⢩⣽⣿⢠⣤⣤⣤⣤⣿⣤⣤⣤⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤
⡙⢹⢿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠉⠉⠉⠀⠀⠘⣿⣄⣉⣿⡇⢻⣧⣈⣡⣿⠛⢿⣎⣛⣿⡿⠹⣿⣄⣉⣿⡇⢽⣇⣉⣁⢸⣿⣍⣉⡁⠀⠀⣿⡇⠀⢸⡿⠈⠁⣿⠈⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣟⣚⣻⣿⣏⣛⣻⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠈⠉⠉⠀⣿⣶⣭⣭⣅⣀⣀⣈⣉⣩⣭⣶⡌⠉⠉⣉⣀⣉⣉⡉⠁⠀⠀⠉⠁⠀⠈⠁⠀⠀⠉⠀⠀⠀⡙⢻⣿⣿⣿⣛⣻⣿⣿⣛⣙⣛⣿⠠⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⠿⠿⠿⠿⠟⠟⠟⠟⠿⠿⠿⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⠛⠛⠛⠟⠻⠻⠻⢿⠿⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣁⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠔⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠘⠓⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠉⠉⠀⠀⠀⢸⣿⡿⠛⠃⠀⠀⠀⠀⠀⣀⣀⡀⠀⢀⣀⣀⣠⣀⠀⣀⣶⣶⣦⣤⣦⣶⣶⣶⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⡀⡀⠀⣀⡀⠀⠀⠀⡀⣀⡀⡀⣀⣠⣀
⣀⠀⠀⠀⠀⠒⠾⠶⠿⢿⣷⣤⠀⠄⠀⠀⠀⠉⢩⠅⠀⠿⢾⣿⣿⣾⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠒⠋⠀⠀⠀⠀⠒⠶⢶⠆⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠛⠻⠿⣿⢿⣿⣿⣿⡿⠿⣯⢰⣿⠉⠀⠀⢒⣾⣶⣶⣷⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣤⡀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⢀⣤⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠛⠛⠱⠤⣿⢄⡛⢴⠀⠀⠚⠙⠺⠏⠉⠙⠛⠛⠃⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠟⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡷⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣻⠙⠛⠉⠉⠉⠉
⠉⠉⠁⠀⢉⠁⠀⣿⠀⢰⣤⠀⠀⣭⡿⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⢀⣿⣩⣦⣽⣿⣭⡩⣿⣿⡟⣻⣿⣿⠁⠈⠙⠀⠀⠐⠒⣻⣖⣤⣄⣀⣀⠀⢀⠀⠀⠉⠙⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⡟⠷⠀⣤⠀⠀⠀⡀
⣤⣄⠀⠀⣿⡁⠀⠀⢹⣧⣀⣤⠄⠀⠀⠀⠀⠀⠀⠘⠀⠲⠶⠖⠐⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣶⣾⣇⠀⠀⠀⠀⠀⠀⠀⡀⠀⣼⣿⡷⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠷⠿⣟⠛⡛⢻⣿
⣍⠷⣶⣿⣿⣷⣶⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⣿⣟⣿⣗⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⡿⠿⠿⠿⠿⢟⣛⣻⣋⣉⣹⣛
⡯⠇⣿⣿⣿⣭⣄⣭⣏⣠⣀⣨⣿⠀⡀⢐⣃⠒⠂⢐⠐⠂⠀⢘⢀⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠠⢿⠿⢿⣿⠿⡿⣿⣧⣤⣼⣿⣿⣿⢤⠄⣤⣤⣤⣤⣿⣶⣶⣶⢶⢶⡶⡶⣿⢿⣿⠉⠉⢹⢿
⠟⠳⣿⡿⠿⠾⠀⢼⣯⣭⣽⣿⣿⠀⠀⢸⠆⣢⣔⢀⣠⠌⠉⢏⠨⠁⢽⣿⣯⣉⣉⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠀⠠⠤⠴⡧⢤⡤⠶⡤⠀⠛⠋⢩⣿⠀⢠⣬⣭⣿⡿⣿⣿⣿⣿⣿⣹⣧⣧⠄⣈⣿⠀⠀⣾⣿
⠀⡀⠀⠀⢠⡄⠀⠀⠀⠀⠀⢿⣿⠀⡆⢰⠲⠌⡉⠉⠩⢅⡬⣭⠀⠈⠼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⣀⣀⡀⢀⡀⢀⡀⣤⣾⠻⢾⣿⡀⠀⠉⣿⣿⠒⠀⣸⣿⣿⣿⢹⣿⡇⠛⢿⣿⠶⠶⣿⣿
⢿⡛⣿⣶⡿⢿⣿⠛⡟⠛⣻⣿⢿⣶⣷⣾⣥⣭⣄⣠⣼⣏⣤⡿⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠉⠙⠿⠿⠿⠿⠿⠿⣿⣿⣼⣿⠁⠀⠀⢿⣿⠀⢠⠿⠛⠉⠙⢿⣿⡧⠶⠶⢿⠶⠿⣿⣿
⠙⠛⣻⣽⣷⠊⣭⣍⡉⠉⣛⣛⣿⣿⣿⣿⢿⢿⣟⠛⠻⠍⠉⠀⠀⠀⠀⠀⢸⣿⣟⠋⠉⠛⠿⢿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠻⣿⣿⠃⠀⠀⠀⣿⣴⣿⣶⣶⣦⣄⣴⣷⡗⣤⢀⣼⠀⠀⣿⣿
⡦⢠⣾⡏⠛⣧⣿⣿⡟⠾⠿⠿⠇⣸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⠟⠀⠀⠀⠛⠛⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢉⣻⣿⣦⢸⣿⣿
⣦⠀⣾⣿⣦⣨⡇⠀⢠⡄⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⣶⣿⡇⠀⠀⣴⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⣹⣿⣿⣼⣿⣿
⣿⣶⣾⣿⣿⣿⣷⡄⣠⣀⡿⣆⢠⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠁⠀⠐⢿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣾⣾⣾⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣯⣿⠏⠉⢹⣛⣻
⣿⣿⣿⣿⡿⢿⣿⣇⣿⣿⣯⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⠀⠀⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⠿⣿⠿⠿⣿⠏⢁⠙⠟⠀⠀⣹⣿⣿
⣿⣿⣿⣿⣷⣿⣿⡛⠈⠛⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⢠⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣇⠀⠀⠀⠀⣀⢀⣠⢄⣀⣀⣤⣼⣿⣿
⣿⣿⣿⣿⣿⣿⡿⠋⠁⣭⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠈⠀⠈⡠⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣷⡤⠀⣯⠋⠋⠉⠂⠀⢸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠐⠋⣳⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣯⣉⣽⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⠀⠀⠀⠺⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⡟⠁⠈⢿⡿⠿⠿⢿⠿⠿⠿⠿⠿⠿
⠛⠛⠛⣿⣿⡿⠿⣶⣶⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡟⠀⠀⢸⣷⣿⣿⠾⣿⣶⣶⣾⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠈⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠁⠀⠀⠈⠉⠛⠛⠀⠙⠛⠻⠿⠿⠿
⠀⣀⣰⡇⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⡶
⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠈⠃⠸⣿⣿⣿⣷⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⣿⣿⣿⡄⢠⣿⣿⣿⣿⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⣶⠒⠒⠒⡐⠒⠂⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣳⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠷⠶⠶⠶⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠚⣿⠒⠒⠒⣿⠒⠒⠒⠒⠂⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣛⣛⡻⢿⣿⣿⣛⣛⠻⣿⡿⣟⣛⣀⠀⠀⢀⣀⣛⡻⠿⢟⡻⣿⣿⣿⣛⣛⣛⡛⣿⣿⣀⠀⣀⣀⣀⣀⡀⣀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⠀⠈⠛⠟⢻⣿⠋⢉⣻⡃⣼⡟⣭⣝⣷⣌⣿⢯⣭⣻⣷⣰⣿⢫⣍⣛⠀⣻⡇⣿⣿⢾⣿⣉⣉⡁⢿⠏⣿⡇⠉⢹⡿⢩⡽⣿⢠⣤⣤⣤⣤⣿⣤⣤⣤⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤
⠙⢹⢿⣿⠿⣿⣿⠏⠁⠈⠁⠀⠀⠀⠀⢀⣤⡸⣿⣄⣉⣿⡇⢻⣧⣈⣡⣿⠋⢿⣎⣛⣽⡿⠹⣿⣄⣉⣿⡇⢽⣇⣉⣁⢸⣿⣍⣉⡁⢶⡆⣿⡇⠀⢸⡷⠈⠁⣿⠈⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⢿⣿⣿
⣓⣐⣻⣿⣋⣛⣻⠂⠀⠀⠀⠀⠀⠀⣐⣿⣿⣿⣾⣍⣩⣭⣶⣷⣬⣭⣭⣵⣿⣶⣭⣭⣁⣀⣀⣈⣉⣩⣭⣶⣬⣭⣭⣭⣤⣉⣭⣭⣥⣾⣿⠉⠁⠀⠈⠁⠀⠀⠉⠀⠀⠀⠀⢻⣿⣿⣿⣛⣛⣿⣿⣒⣙⣛⣿⠀⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠻⠛⠻⢿⠿⠻⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣶⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢁⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠐⠶⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠉⠉⠀⠀⠀⢸⣿⡿⠛⠣⠀⠀⠀⠀⠀⣀⣀⣀⠀⢀⣀⣀⣀⠀⢠⣴⣶⣦⣶⣦⣶⣶⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣠⣀
⣀⠀⠀⠀⠀⠐⠾⠶⠿⢿⣷⣦⠀⠆⠀⠀⠀⠉⢉⠄⠀⠾⢿⣿⣿⣲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠚⠋⠀⠀⠀⠀⠀⠒⠶⢶⠆⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠛⠻⠿⣿⢿⣿⣿⣿⡿⠻⢿⢸⣿⠀⠀⠀⠒⣾⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢠⡄⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⡀⣤⣄⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠛⠛⠣⠤⣿⢀⡛⣶⠀⠀⠘⠙⠻⠏⠉⠙⠛⠛⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣗⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣻⣿⡟⣿⣟⣿⣿⣟⢯⢯⣻⣹⠛⠛⠉⠉⠉⠉
⠉⠉⠁⠀⢉⠁⠀⢿⠀⢠⣤⠀⠀⣽⡿⠄⠀⠀⠀⣀⠀⠀⠀⢀⣼⣧⣤⣼⣿⣯⣰⣿⡟⣛⣿⣿⣿⠃⠀⠙⠁⡁⠀⠀⠛⠓⣻⣖⣤⣄⣀⣀⠀⢀⠀⠀⠝⠻⢿⡿⠟⠿⠽⣿⣿⣟⣿⣻⣿⣿⣿⠧⠄⣄⠀⠀⠀⡀
⣤⡄⠀⠀⣿⡁⠀⠀⢸⣇⣀⣴⠆⠀⠀⠀⠀⠀⠀⠘⠀⠲⠖⠚⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣠⣶⣶⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣽⣿⡷⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⠶⠿⣿⠛⡛⢻⣻
⣍⠾⣶⣿⣿⣷⣶⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠚⠛⠛⣿⣟⣿⣷⠀⠀⠀⣸⣿⣿⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⠿⠿⠿⠿⠿⢟⣛⣻⣋⣉⣹⣛
⡏⢎⣿⣯⣿⣥⣄⣭⣇⣀⣀⣨⣿⠀⠀⢐⣓⣒⡂⢐⠒⠂⠀⢘⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠟⡠⢿⠿⢿⣿⠿⡿⣿⣧⣤⣼⣿⣿⣿⢠⡄⣤⣤⣤⣤⣾⣶⣴⡶⣶⢶⡶⡶⡿⣿⣿⠉⠉⢹⢿
⠗⠳⣿⠿⠾⠼⠀⢼⣯⣭⣽⣿⣿⠀⠀⢸⠀⢢⣔⣀⣀⠄⠉⠅⠀⢽⣧⣉⣉⣉⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠇⠀⠠⠤⠴⠧⢤⡤⠶⡤⠀⠛⠉⢉⣿⠀⠤⣬⣭⣿⡿⣿⣿⣿⣷⣿⣿⣧⣧⡄⣘⣿⠀⠀⣾⣿
⠀⡀⠀⠀⢠⡄⠀⠀⠀⠀⠀⣿⣿⠀⡀⢰⠤⡌⡭⠉⠩⢥⣼⣭⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢀⡀⣀⡀⢀⡀⢀⡀⣴⣾⠻⢾⣿⡀⠀⠉⣿⣿⠒⠀⣸⣿⣿⣿⢿⣿⡇⠛⠿⣿⠶⠶⣿⣿
⢿⣛⣿⣶⡿⢿⣿⠛⡟⢛⣛⣿⣿⣶⣷⣾⣥⣭⣄⣠⣼⣛⣡⡿⠂⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠈⠉⠻⠷⠿⠿⠿⠿⠿⣿⣿⣼⣿⠁⠀⠀⢿⣿⠀⢠⠟⠛⠉⠹⢺⣿⡷⠶⠶⢿⠶⠿⣿⣿
⠙⠛⣻⣭⣷⠊⣭⣍⡉⠉⢛⣛⣿⣿⣿⣿⢿⢿⣿⠿⠛⠋⠉⠀⠀⠀⠀⠈⣿⡛⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠻⣿⣿⠁⠀⠀⠄⣿⣴⣿⣶⣶⣦⣄⣬⣿⡇⣤⠀⣼⠀⠁⣿⣿
⡦⢠⣾⡋⠙⣧⣿⣿⡟⠾⠿⠿⠃⣨⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠇⠀⠀⠀⠙⠻⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⢀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠁⣺⣿⣦⠸⣿⣿
⣦⠀⣾⣿⣦⣨⡇⠀⢠⣀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⣴⣾⡇⠀⠀⣠⣾⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣹⣿⣿⣼⣿⣿
⣿⣶⣾⣿⣿⣿⣷⡄⣠⣀⡿⣄⢠⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠃⠀⠀⢻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣾⣾⣾⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣯⣿⠟⠉⢙⣛⣿
⣿⣿⣿⣿⡿⢿⣿⣇⣿⣿⣯⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠘⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⠿⣿⠿⠿⣿⠏⢀⠙⠟⠀⠀⣸⣿⣿
⣿⣿⣿⣿⣷⣾⣿⡛⠈⠛⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⡠⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⢀⣠⠄⣀⣠⣤⣼⣿⣿
⣿⣿⣿⣿⣿⣿⡿⠛⠁⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⢀⠈⠁⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣧⡄⠀⣯⠉⠋⠉⠀⠀⢸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠠⠞⠣⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣯⣉⣽⣯⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠠⣽⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⡿⠁⠈⢻⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠛⠛⠛⣿⣿⡿⠿⡶⣶⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⢿⣿⣿⣿⣷⣶⣦⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡟⠀⠀⢸⣷⣿⣿⠾⣿⣶⣶⣾⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠃⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⠀⢸⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠁⠀⠀⠀⠉⠛⠛⠀⠙⠛⠻⠿⠿⠿
⠀⠀⢰⡇⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⡄⣼⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠤⡶
⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣀⣀⣀⣀⢠⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⠀⠀⢀⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠈⠃⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠒⣶⠒⠒⠒⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡿⠛⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣳⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠖⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⠉⠀⠀⠙⠻⠿⠿⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠛⣿⠓⠒⠒⣿⠒⠒⠒⠒⠐⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣉⣀⡀⠈⠛⣉⣉⣉⠻⣿⡿⣟⣀⣀⠀⠀⠀⣀⣛⡛⢿⢛⡀⠀⠀⠀⣀⣀⣀⡀⠀⠀⣀⣀⣀⣀⣀⣀⡀⣀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣤⠤⠤⢠⣾⠋⢉⣛⡃⣴⡟⣭⡝⣷⣌⣿⢯⣭⣻⣧⣰⣿⢫⣍⣛⠀⢸⡇⣤⣤⣼⣿⣍⣉⡁⢠⡄⣿⡇⣭⢹⡟⢩⡽⣿⢠⣤⣤⣤⣤⣿⣤⣤⣤⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤
⠙⢹⢿⣿⠿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣄⣉⣿⡇⢻⣧⣈⣡⣿⠋⢿⣆⣛⣼⡿⠹⣿⣄⣉⣿⡇⣼⣇⣉⣉⢸⣿⣉⣉⡁⠀⠀⣿⡇⠀⢸⡷⠈⠁⣿⠈⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡟⣿⣿⠛⣿⣿
⣓⣐⣻⣿⣋⣛⣻⡟⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣈⣉⣉⡉⠀⣀⣈⣉⣉⣵⣿⣶⣭⣉⣁⣀⣐⣈⣩⣭⣵⣶⣬⠉⠉⠉⠀⠉⠉⢉⣁⠀⠀⠉⠁⠀⠈⠁⠀⠀⠉⠀⠀⠀⠙⢛⣿⣿⣛⣛⣛⣿⣿⢂⣘⣛⣯⠁⣻⣿
⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⢿⣿⢿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠾⠛⠟⠿⠛⠛⠿⠿⠟⠺⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣶⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢡⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠓⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠈⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⠉⠉⠀⠀⠀⢸⣿⡿⠟⠃⠀⠀⠀⠀⠀⣀⣀⣀⠀⢀⣀⣀⣀⣀⣠⣴⣤⣤⣤⣴⣦⣶⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⡀⣀⠀⠀⢀⣀⡀⢀⢀⡄⣠⣀
⣀⠀⠀⠀⠂⠐⠾⠶⠿⢿⣷⣦⠀⠆⠀⠀⠀⠉⢩⡅⠀⢻⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠖⠚⠋⠁⠀⠀⠀⠀⠒⠶⢶⠆⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠛⠻⠿⣿⢿⣿⣿⣿⡿⠿⢿⢰⣶⠈⠀⠀⢶⣾⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⣤⡀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠠⣤⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠛⠛⠡⠦⣿⢂⡛⣶⠀⠀⠘⠙⠻⠏⠉⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣟⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⢿⣿⣻⢿⠻⠛⠉⠉⠉⠉
⠉⠉⠉⠀⢉⠁⠈⣿⠀⢠⣤⠌⠀⣽⣿⠀⠀⠀⠀⣀⠀⠀⠀⣨⣹⣃⣨⣿⣫⣉⢽⣿⠻⠿⢿⣿⡟⠀⠙⠻⠫⡃⠀⠀⠚⠓⣻⣗⣤⣄⣀⣀⠀⢀⠀⠀⠏⠿⠿⡿⠟⠽⠿⣻⣏⣿⣾⣿⣿⣿⡷⠧⠄⣄⠀⠀⠀⣀
⣤⣄⠀⠀⣿⡃⠀⠀⢸⣧⣀⣴⡖⠁⠀⠀⠀⠀⠀⠸⠀⠲⠦⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣤⣤⣶⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⠿⠿⣟⠛⡛⢻⣿
⣏⢾⣶⣾⣿⣷⣶⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠚⠛⠛⣿⣟⣿⣷⠀⠀⠀⢸⣿⣿⡀⠀⠀⠀⠀⠀⠀⢿⣿⣿⡿⠿⠿⠿⠿⢟⣛⣻⣋⣉⣻⣻
⣯⣾⣿⣿⣿⣭⣤⣭⣅⣠⣀⣸⣿⠀⠀⢐⣓⣒⠂⢰⠒⠃⠀⣞⢻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⣟⠠⢿⡿⢿⣿⣿⠿⣿⣧⣤⣼⣿⣿⣿⢤⡄⣤⡤⣤⣤⣿⣶⣴⡶⣶⢶⡶⡶⣿⣿⣿⠉⠉⢹⢿
⠗⠻⣿⠿⠿⠶⠄⢹⣯⣭⣽⣿⣿⠀⠀⢸⡘⣧⣖⣀⣠⠄⠁⠍⠈⣿⣮⣙⣋⣩⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢶⡗⠀⠠⠤⠴⡧⢤⡤⠾⡤⠀⠛⠋⢉⣿⠀⢤⣬⣽⣿⡿⣿⣿⣿⣿⣿⣿⣧⣧⣄⣸⣿⠀⠀⣾⣿
⠀⣄⠀⠀⣠⡄⠀⠀⠀⠀⠀⣿⣿⠀⡆⢸⣢⡭⡭⠉⠭⢥⡽⣧⠄⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠁⠀⢀⣀⣀⡀⢀⡀⢀⣀⣴⣾⠻⢾⣿⡀⠀⠙⣿⣿⠒⠀⣸⣿⣿⣿⢿⣿⡇⠛⢿⣿⠶⠶⣿⣿
⢿⡛⣿⣶⡿⢿⣿⠛⡟⢛⣻⣿⣿⣶⣷⣾⣭⣥⣄⣠⣽⣫⣥⣿⠓⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠉⠉⠿⠿⠿⠿⠿⠿⠿⣿⣿⣼⣿⠁⠀⠀⣿⣿⠀⢠⠟⠛⠉⠻⢿⣿⡷⠶⠶⣿⠶⠿⣿⣿
⠙⢛⣻⣽⣷⠚⣭⣭⡉⠉⢛⣛⣿⣿⣿⣿⢿⣿⣿⡟⠛⠛⠛⠀⠀⠀⠀⠈⣿⣍⠉⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⣿⣿⣿⠃⠀⠈⠏⣿⣴⣿⣶⣿⣦⣤⣼⣿⡇⣤⡄⣼⠀⠀⣿⣿
⡧⢠⣿⡏⢛⣧⣿⣿⡿⠾⠿⠿⡇⣨⣿⡇⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠶⠂⠀⠀⠙⠻⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠁⠀⢀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢋⣻⣿⣦⢸⣿⣿
⣷⠀⣿⣿⣦⣼⡧⠀⢠⣄⠀⡀⠀⣺⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣶⣾⣷⠀⠀⣠⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣹⣿⣿⣼⣿⣿
⣿⣶⣾⣿⣿⣿⣷⡆⣨⣁⣿⣤⢲⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⢻⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⣾⣾⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣯⣿⠟⠉⢹⣟⣿
⣿⣿⣿⣿⡿⢿⣿⣧⣿⣿⣿⡀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠁⠀⠀⠈⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⠿⣿⠿⠿⣿⠏⢡⠙⠟⠀⠀⣹⣿⣿
⣿⣿⣿⣿⣷⣿⣿⡛⠘⠛⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⢀⡰⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣇⠀⠀⠀⠀⣀⢀⣠⣄⣀⣀⣤⣽⣿⣿
⣿⣿⣿⣿⣿⣿⡿⠛⠁⣽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠁⠐⣀⡀⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣷⣄⠀⣿⠋⠋⠉⠈⠈⣸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣶⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠟⠃⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣯⣉⣽⣽⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠠⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⠉⠈⠻⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠛⠛⠛⣿⣿⡿⠿⣶⣶⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⢹⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡟⠀⠀⢸⣷⣿⣿⠿⣿⣶⣶⣾⣿⣿
⠀⠀⠀⠠⠄⠀⠀⠚⠙⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠁⠀⠀⠈⠉⠛⠛⠀⠙⠛⠻⠿⠿⢿
⠀⡀⢰⡗⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠤⣶
⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠈⢀⡀⠸⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠈⠁⠀⣿⣿⣿⣇⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣶⣿⣿⣿⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠞⠒⠒⣶⠒⠒⠒⠒⠒⠒⠒⠒⠒⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣷⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠾⠶⠶⠶⠶⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠷⠛⠛⣿⠓⠒⠒⣿⠒⠒⠒⠒⠒⠒⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣟⣛⡛⠻⡿⣿⣟⣛⡻⣿⣿⣟⣛⣀⠀⢻⢿⣛⣛⡻⢿⢿⡛⢹⣿⣿⣟⣛⣛⡃⠀⠀⣀⣀⣀⣀⣀⣀⡀⣀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⠀⠀⠀⢠⣿⠋⢉⣛⡃⣼⡟⣭⣽⣷⣬⣿⢏⣭⣿⣷⣴⣿⢫⣍⣛⠀⣾⡇⢸⣿⢻⣿⣍⣉⡁⠀⠀⣿⡇⠉⢹⡟⢩⣽⣿⢠⣤⣤⣤⣤⣿⣤⣤⣤⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤
⡹⢹⣻⣿⠿⣿⣿⣿⣿⠃⠁⠀⠀⠉⠀⠀⠀⠘⣿⣄⣉⣿⡇⢻⣧⣈⣡⣿⠋⢿⣆⣋⣼⡿⠹⣿⣄⣉⣿⡇⢽⣇⣈⣉⢸⣿⣉⣉⡁⠀⠀⣿⡇⠀⢸⣿⠈⠁⣿⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿
⣳⣚⣿⣿⣋⣛⣻⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣭⣭⣭⣶⣶⣬⣭⣭⣵⣿⣶⣭⣉⣁⣀⣠⣮⣭⣭⣽⣶⣬⣉⣩⣭⣤⣭⣭⣭⣁⡀⠀⠈⠁⠀⠈⠁⠀⠀⠉⠀⠀⢈⡛⢻⣿⣿⣿⣟⣻⣿⣿⣃⣘⣛⣿⢨⣽⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠟⠻⠿⠿⣿⡿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣶⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢡⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠔⠖⢰⠀⠉⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠰⣿⡛⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⠉⠉⠀⠀⠀⢸⣿⡿⠟⢃⠀⠀⠀⠀⠀⣀⣀⣀⠀⢀⣀⣀⣀⠀⣄⣾⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣀⠀⣠⣤⡀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⡀⣀⢀⣀⣀⡀⡀⣀⣀⣀⢀⢀⡄⣤⣀
⣀⠀⠀⠐⠂⠒⠾⠷⠿⢿⣷⣦⠀⠆⠀⠀⠀⠉⢩⡅⠀⢓⢻⣿⣷⣏⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠒⠶⢶⠆⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿
⠛⠛⠻⠿⣿⣿⣿⣿⣿⡿⠿⢿⢴⣷⠉⠀⠀⢒⣾⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⣠⡤⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠁⠛⠛⠱⠦⣿⢀⡛⣴⠀⠀⠾⠛⠻⠏⠉⠋⠋⠭⣭⠙⢻⣿⠿⠿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣕⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣻⣿⣟⢿⣻⣛⢿⣿⣿⣿⢿⡟⢭⠛⠛⠉⠉⠉⠉
⠉⠉⠁⠁⢉⠁⠀⣿⠀⢰⣤⠈⠀⣽⣿⠀⠀⠀⠀⣀⠀⠀⠀⠸⣿⣶⣶⣿⣿⣷⣬⣿⣤⣭⣙⣛⣿⡀⠀⠛⢋⣳⡀⠀⠀⠀⣻⣗⣤⣄⣀⣀⠀⢀⠀⠀⠏⠿⢿⡟⠲⠏⠟⠿⣯⡵⣟⣿⣿⣿⡿⠿⠄⣤⠀⠀⠀⣀
⣤⡄⠀⢀⣿⡃⠀⠀⢹⣧⣀⣴⠆⠁⠀⠀⠀⠀⠀⠸⠀⠲⠶⠶⠂⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠷⠿⣿⠛⡛⢻⣻
⣏⣾⣶⣿⣿⣷⣾⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠛⠛⣿⡟⣿⣷⠀⠀⠀⣹⣿⣿⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⢿⠿⠿⠿⢟⣛⣻⣋⣋⣻⣻
⣿⣯⣿⣿⣿⣭⣤⣭⣥⣠⣄⣸⣿⠀⠀⢐⣓⡒⢂⣐⠘⠋⡘⢛⣃⣹⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠁⠀⠠⢿⠿⢿⣿⣿⡿⣿⣧⣤⣽⣿⣿⣿⢤⡄⣤⣤⣤⣤⣿⣷⣶⡶⢶⢶⡶⡶⡿⣿⣿⠉⠉⢹⣿
⠟⠻⣿⡿⢿⠿⠀⣽⣯⣭⣽⣿⣿⠀⠀⢸⣘⣶⣖⣀⣠⢄⠉⠬⠈⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠗⠀⠠⠦⠴⣧⢤⡤⠾⡤⠄⠛⠋⢉⣿⠀⢤⣬⣭⣿⡿⣿⣿⣿⣿⣿⢿⣧⣧⡄⣹⣿⠀⢀⣾⣿
⠀⣀⠀⠀⣠⡄⠀⠀⠀⠀⠀⣿⣿⠀⡂⢰⡦⣭⡭⠩⠭⢭⣽⣭⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣀⣀⡀⢀⡀⢀⡀⣤⣾⠻⢾⣿⠀⠀⢹⣿⣿⠒⠀⣸⣿⣿⣿⢿⣿⡏⠛⢿⣿⠶⠶⣿⣿
⢿⡟⣿⣶⡿⢿⣿⠛⠟⢛⣻⣿⣿⣶⣷⣾⣭⣭⣄⣠⣼⣏⣵⣿⠶⠑⠀⠀⢉⡉⠉⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠉⠙⠿⠿⠿⠿⠿⠿⣿⣿⣼⣿⠁⠀⠀⣿⣿⠀⢨⠟⠛⠉⠹⢿⣿⡷⠶⠶⣿⠶⠿⣿⣿
⠙⢛⣻⣿⣷⠚⣭⣭⡉⠉⢛⣛⣿⣿⣿⣿⣿⣿⣿⡻⠛⠛⠋⠁⠀⠀⠀⠀⢸⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠿⣿⣿⡃⠀⠀⡯⣿⣴⣿⣷⣶⣦⣤⣾⣿⡗⣤⣀⣼⡀⢀⣿⣿
⡦⢠⣿⣏⢻⣧⣿⣿⡿⠿⠿⢿⡇⢸⣿⡟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⣛⣉⠉⡀⠈⠉⣛⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⢀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠛⣻⣿⣶⢸⣿⣿
⣶⠄⣿⣿⣦⣼⡯⠀⢠⡄⢀⡀⠀⣻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⢰⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣹⣿⣿⣼⣿⣿
⣿⣶⣾⣿⣿⣿⣷⡦⣨⣵⣿⣤⣨⠏⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠙⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣾⣾⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⠟⠉⢹⣟⣿
⣿⣿⣿⣿⡿⢷⣿⣧⣿⣿⣿⡅⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⠿⣿⠿⠿⣿⠏⢁⠙⠿⠀⠀⣹⣿⣿
⣿⣿⣿⣿⣷⣾⣿⡛⠙⠛⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠁⢀⠠⣶⢻⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣇⠀⠀⠀⠀⣀⢀⣤⣤⣀⣀⣤⣼⣿⣿
⣿⣿⣿⣿⣿⣿⡿⠛⠁⣽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠸⢰⣤⣄⣸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣷⣤⠀⢿⠋⠏⠉⠈⠈⣼⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣶⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠊⠘⠋⣹⢿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣉⣽⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢀⠀⠀⢨⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⠉⠈⢿⡿⠿⠿⢿⠿⠿⠿⠿⠿⢿
⠛⠛⠛⣿⣿⡿⠿⣶⣶⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⠀⠀⠀⠘⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡟⠀⠀⢸⣷⣿⣿⠾⣿⣶⣶⣾⣿⣿
⠀⠀⠀⠠⠠⠀⠀⠿⠛⠻⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠁⠀⠀⠉⠙⠛⠛⠀⠙⠛⠻⠿⠿⠿
⢀⣀⣸⣇⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠤⣶
⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠀⠀⠰⡤⠈⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠈⠦⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢰⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠓⠲⣶⠒⠒⠒⡐⠒⠒⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢶⣢⣤⣤⣴⣿⣿⣿⣿⣿⣿⠀⠀⠀⢰⣾⣿⣿⣿⣿⣿⣆⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣢⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠷⠶⠶⠶⠶⠶⠆⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠛⠛⣿⠒⠒⠒⣿⠒⠒⠒⠒⠒⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣛⣛⡛⢻⣿⣿⣛⣛⡻⣿⣿⣟⣛⣁⠘⣿⣿⣛⣛⡻⢿⢟⡛⢽⣿⣿⣛⣛⣃⡀⠀⠀⣀⣀⣀⣀⣀⣀⡀⣀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⢠⣿⠋⢉⣛⡃⣼⡟⣩⡝⣷⣌⣾⢏⣭⣻⣷⣴⣿⢫⣍⣛⠂⢼⡇⢸⣿⢿⣿⣏⣉⡁⠀⠀⣿⡇⠉⢹⡿⢩⡽⣿⢠⣤⣤⣤⣤⣿⣤⣤⣤⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤
⡛⣿⣻⣿⣿⣿⣿⣿⣿⡋⠁⠀⠀⠈⠀⠀⠀⠘⣿⣄⣉⣿⡇⢻⣧⣈⣡⣿⠋⢿⣆⣉⣼⡿⠹⣿⣄⣉⣿⡇⣼⣇⣈⣉⢸⣿⣍⣉⡁⠀⠀⣿⡇⠀⢸⡿⠈⠁⣿⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿
⢻⣘⣻⣿⣛⡛⣻⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⣴⣭⣭⣥⣶⣦⣬⣭⣭⣴⣿⣶⣭⣉⣁⣀⣱⣮⣭⣭⣽⣶⣬⣍⣩⣭⣴⣭⣭⣍⣁⣀⠀⠉⠁⠀⠈⠁⠀⠀⠉⠀⠀⢈⣿⢿⣿⣿⣿⣟⣻⣿⣿⣎⣺⣛⣿⠙⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⠟⠿⠿⠛⠿⣿⡿⠾⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢡⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠠⠒⢴⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡀⠀⠀⠀⠀⢠⠄⠀⠀⠀⠀⠀⠀⠀⠘⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⣭⢃⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠉⠉⠀⠀⠀⢸⣿⡿⠟⠓⠀⠀⠀⠀⠀⣀⣀⣀⠀⢀⢀⣀⢀⡀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣄⡀⣠⣤⡀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⡀⣀⡀⠀⠀⣀⣀⡀⣀⡀⣤⣀
⣀⠀⠀⠐⠂⠒⠾⠷⠿⢿⣷⣦⠀⠆⠀⠀⠀⠉⢩⡅⠀⠸⢿⣿⣿⣷⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠒⠶⢶⠆⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢘⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠛⠻⠿⣿⣿⣿⣿⣿⡿⠿⢿⢸⣷⠉⠀⠀⢖⣾⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⠄⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠛⠛⠳⠦⣿⢀⡛⣴⠀⠀⠞⠛⠻⠏⠉⠙⠙⠉⠯⠍⠛⣿⠿⠟⣻⡿⣿⣿⣿⣿⣿⠛⣿⣿⣷⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣟⣿⣟⣿⣿⡿⡻⣿⡿⣿⣟⡽⢻⠛⠛⠉⠉⠉⠉
⠉⠉⠁⠁⢉⠁⠀⣿⠀⢱⣤⠈⠀⣽⣿⠀⠀⠀⠀⣀⠀⠀⠀⠀⢿⣿⣶⣾⣿⣿⣦⣽⣧⣴⣭⣭⣿⣇⡀⠈⢛⣛⣄⠀⠀⠀⢻⣖⣤⣄⣀⣀⠀⢀⠀⠀⠇⠿⠿⡿⠛⠻⠟⢿⣿⣞⣛⣿⣻⣿⡗⠷⠄⣤⠀⠀⠀⣀
⣤⡄⠀⠀⣿⡃⠀⠀⢹⣧⣀⣴⡖⠁⠀⠀⠀⠀⠀⠸⠀⠲⠶⠶⠖⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⡀⠀⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠷⢿⣿⠛⡛⢻⣿
⣏⣾⣶⣿⣿⣷⣶⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠛⠛⣿⣟⣿⣷⠀⠀⠀⣹⣿⣿⡀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡿⢿⠿⠿⠿⢟⣛⣻⣋⣉⣻⣿
⣿⣯⣿⣿⣿⣭⣤⣭⣅⣠⣄⣸⣿⠀⠀⢐⣓⡒⢂⢰⠚⢋⡙⢟⢛⣈⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢏⠀⠠⢿⡿⢿⣿⣿⡿⣿⣧⣤⣼⣿⣿⣿⢤⡄⣤⣤⣤⣤⣷⣶⣶⣶⣶⣶⡶⡶⡿⣿⣿⠉⠉⢹⣿
⠟⠻⣿⠿⠿⠽⠄⢽⣯⣭⣽⣿⣿⠀⠀⢸⢀⣶⣖⣀⣠⢬⠉⠉⠉⠉⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠷⠀⠠⠤⠴⡧⢴⡤⢾⡤⠄⠛⠋⢩⣿⠀⢤⣬⣽⣿⡿⣿⣿⣿⣿⣿⣿⣧⣧⣄⣹⣿⠀⠀⣾⣿
⠀⣄⠀⠀⣠⡄⠀⠀⠀⠀⠀⣿⣿⠀⡆⢸⣢⣬⠍⠋⢭⢭⣽⣭⠅⠀⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⢀⣀⡀⢀⡀⢀⡀⣴⣾⠻⢾⣿⡀⠀⢙⣿⣿⠒⠀⣸⣿⣿⣿⣿⣿⡏⠛⢿⣿⠶⠶⣿⣿
⢿⣛⣿⣶⡿⢻⣿⠛⡟⢛⣻⣿⣿⣶⣷⣾⣽⣯⣄⣠⣽⣏⣥⣿⠿⠗⠁⠀⠉⠉⠉⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠉⠙⠿⠿⠿⠿⠿⠿⣿⣿⣼⣿⠃⠀⠀⣿⣿⠀⢨⠟⠛⠉⠻⢿⣿⡷⠶⠶⢿⠶⠿⣿⣿
⠙⢛⣻⣿⣷⡊⣭⣭⡉⠉⢛⣻⣿⣿⣿⣿⣿⣿⣿⡻⠛⠛⠋⠁⠀⠀⠀⠀⠀⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠿⣿⣿⡃⠀⠀⡏⣿⣴⣿⣷⣷⣦⣄⣼⣿⡇⣤⣄⣼⡀⠁⣿⣿
⡦⢠⣿⡏⢻⣧⣿⣿⡿⠿⠿⠿⠇⣨⣿⡟⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠿⣛⡉⠉⠁⠉⢙⣻⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⢀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢛⣻⣿⣦⢸⣿⣿
⣶⠄⣿⣿⣦⣼⡧⠀⢠⣄⢀⡀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⣴⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣹⣿⣿⣼⣿⣿
⣿⣶⣾⣿⣿⣿⣷⡆⣠⣵⣿⣤⢺⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠈⢹⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣾⣾⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣯⣿⠟⠉⢽⣟⣿
⣿⣿⣿⣿⡿⢷⣿⣧⣿⣿⣿⡍⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣟⠀⠀⠀⢸⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⠿⣿⠿⠿⣿⠏⢁⠙⠟⠀⠀⣽⣿⣿
⣿⣿⣿⣿⣷⣿⣿⡛⠘⠛⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⢰⡞⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣇⠀⠀⠀⠀⢀⢀⣤⣤⣀⣀⣤⣼⣿⣿
⣿⣿⣿⣿⣿⣿⡿⠛⠁⣽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⣀⡀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣷⣤⠀⢿⠋⠏⠉⠉⠀⣼⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣶⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠸⢏⣷⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣉⣽⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠠⠀⠈⢻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⡿⠉⠈⢿⡿⠿⠿⢿⠿⠿⠿⠿⠿⢿
⠛⠛⠛⣿⣿⡿⠿⣶⣶⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠐⠀⠘⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡟⠀⠀⢸⣷⣿⣿⠿⣿⣶⣶⣾⣿⣿
⠀⠀⠀⠠⠀⠀⠀⠿⠛⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠁⠀⠀⠈⠙⠛⠛⠀⠙⠛⠻⠿⠿⠿
⢀⣀⣸⣇⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⠀⠀⠀⠀⣹⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡤⣶
⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡿⠀⠀⣰⣦⢸⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣇⠀⠀⠀⠉⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣿⣿⣿⣿⠀⠀⠀⠀⢨⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠲⣶⠒⠒⠒⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠖⣂⣤⣤⣤⣾⣿⣿⣿⣿⣿⣿⠀⠀⢐⣾⣿⣿⣿⣿⣿⣆⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠷⠶⠾⠷⠶⠶⠶⠶⠶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠚⠛⣿⠒⠒⠒⣿⠒⠒⠒⠒⠒⠒⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣟⣛⣛⢻⣿⣿⣛⣛⡻⣿⣿⣟⣛⣋⠘⢿⣿⣛⣛⡛⢿⢟⡛⢿⣿⣿⣛⣛⣃⡀⠀⠀⣀⣀⣀⣀⣀⣀⡀⣀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⢠⣿⠋⢉⣛⡃⣼⡟⣩⣝⣷⣌⣿⢿⣭⣻⣷⣴⣿⢫⣍⣛⠂⢼⡇⢸⣿⢿⣿⣍⣉⡁⠀⠀⣿⡇⠉⢹⡟⢩⡽⣿⢠⣤⣤⣤⣤⣿⣤⣤⣤⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤
⡛⣿⣻⣿⣿⣿⣿⣿⣿⠋⠁⠀⠀⠀⠀⠀⠀⠘⣿⣄⣉⣿⡇⢻⣧⣈⣡⣿⠋⢿⣎⣛⣼⡿⠹⣿⣄⣉⣿⡇⣼⣇⣈⣉⢸⣿⣍⣉⡁⠀⠀⣿⡇⠀⢸⡯⠈⠁⣿⠈⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠻⣸⢿⣿⣛⡛⣻⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⣠⣭⣭⣭⣶⣦⣬⣭⣭⣵⣿⣶⣭⣍⣅⣀⣰⣮⣭⣭⣽⣶⣬⣍⣩⣭⣴⣭⣭⣍⣁⣀⠀⠈⠁⠀⠈⠁⠀⠀⠉⠀⠀⢈⣟⢻⣿⣿⣿⣟⣻⣿⣿⣏⣹⣛⣯⠩⣽⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠻⠛⠛⠛⠿⠿⣿⡿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢁⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⠐⡀⡀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⢻⣍⣁⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠉⠉⠀⠀⠀⢸⣿⡿⠟⠓⠀⠀⠀⠀⠀⣀⣀⣀⠀⢀⣀⣀⣀⠀⠠⣄⣾⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⠀⣀⣀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠐⠆⠀⠀⠀⠀⠀⠀⠀⣀⢀⠀⣀⣀⣀⠀⢀⣀⣀⡀⢀⣄⣠⣀
⣀⠀⠀⠀⠂⠐⠾⠷⠿⢿⣷⣦⠀⠆⠀⠀⠀⠉⢩⡅⠀⣼⣿⣿⣷⣧⣉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠁⠈⠀⠀⠐⠶⢶⠆⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠛⠻⠿⣿⢿⣿⣿⣿⡿⠿⢿⢰⣷⠉⠀⠀⢒⣾⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣄⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⣠⣴⣰⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠁⠛⠛⠳⠤⣿⢀⡛⣰⠀⠀⠚⠙⠻⠏⠉⠙⠙⠋⡡⣤⠉⠻⣿⡿⢛⣻⠿⣿⣿⣿⣿⡿⠿⣿⣿⣿⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⣻⣻⣿⣿⡿⢛⣿⣿⣿⢿⣻⢹⠛⠛⠉⠉⠉⠉
⠉⠉⠉⠀⢉⠁⠀⣿⠀⢰⣤⠌⠀⣽⣿⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⢿⣶⣾⣿⣿⣿⣮⣽⣤⣮⣭⣽⣛⡁⠀⠙⠛⣳⡄⠀⠀⢸⣗⣤⣄⣀⣀⠀⢀⠀⠀⠿⠿⢿⡿⠻⠟⠿⢯⣿⣝⣻⣿⣾⣿⡗⠿⠄⣤⠀⠀⠀⣀
⣤⡄⠀⠀⣿⠅⠀⠀⢹⣧⣀⣴⡖⠁⠀⠀⠀⠀⠀⠸⠀⠰⠶⠶⠶⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⡀⠀⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠷⠿⣿⠛⡛⢻⣻
⣅⢿⣷⣿⣿⣷⣾⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠛⣿⣟⣿⣷⠀⠀⠀⣸⣿⣿⡀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡿⠿⠿⠿⠿⢟⣛⣻⣋⣋⣻⣻
⣿⣯⣿⣿⣿⣭⣤⣭⣍⣠⣄⣨⣿⠀⠀⢐⣓⡒⢂⣰⠘⠋⣑⢒⢒⡀⢸⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⠃⠀⢾⡿⢿⣿⣿⠿⣿⣧⣤⣼⣿⣿⣿⢤⡄⣤⣤⣤⣤⣿⣶⣴⣶⣶⣶⡶⡶⡿⣿⣿⠉⠉⢹⣿
⠟⠻⣿⠿⠿⠼⠄⢹⣯⣭⣽⣿⣿⠀⠀⢸⡉⣲⣖⣀⣠⠬⠉⠬⠉⠉⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠠⠤⠴⡧⢤⡤⢾⡤⠀⠛⠋⢩⣿⠀⢤⣬⣽⣿⡿⣿⣿⣿⣿⣿⣿⣧⣧⡄⣹⣿⠀⠀⣿⣿
⡀⣀⠀⠀⣠⡄⠀⠀⠀⠀⠀⣿⣿⠀⡆⢰⣴⣬⡭⠩⠭⢭⣭⣭⠅⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣀⣀⡀⢀⡀⢀⣀⣴⣾⠻⢾⣿⡀⠀⢙⣿⣿⠒⠀⣼⣿⣿⣿⢿⣿⡇⠛⢿⣿⠶⠶⣿⣿
⢿⡟⣿⣶⡿⢻⣿⠛⡟⢛⣻⣿⢿⣶⣷⣾⣽⣭⡄⣀⣽⣋⣥⣿⣾⡴⠍⠉⠁⠀⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠉⠉⠿⠿⠿⠿⠿⠿⣿⣿⣼⣿⠁⠀⠀⣿⣿⠀⢈⠟⠛⠉⠻⢿⣿⡷⠶⠶⣿⠶⠿⣿⣿
⠙⣛⣻⣿⣷⠊⣭⣍⡉⠉⢛⣛⣿⣿⣿⣿⣿⣿⣿⡻⠛⠻⠟⠉⠁⠀⠀⠀⠀⠀⣿⣶⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⢿⣿⣿⠃⠀⠀⡥⣿⣴⣿⣷⣷⣦⣠⣾⣿⡇⣤⣄⣼⡀⠀⣿⣿
⡦⢠⣿⡏⢻⣧⣿⣿⡿⠾⠿⢿⡿⣸⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠟⠛⠛⠛⠛⠻⢿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⢀⢀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⢛⣻⣿⣶⢸⣿⣿
⣦⠄⣿⣿⣦⣽⡧⠀⢠⣄⡀⡀⠀⣹⣿⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣾⣿⡆⠀⢀⣴⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣹⣿⣿⣼⣿⣿
⣿⣶⣾⣿⣿⣿⣷⡆⣨⣵⣿⣦⣀⡟⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠁⠀⠈⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣾⣾⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣯⣿⠟⠉⢹⣟⣿
⣿⣿⣿⣿⡿⢷⣿⣧⣿⣿⣿⡅⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡏⠀⠀⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⠿⣿⠿⠿⣿⠏⢁⠙⠟⠀⠀⣹⣿⣿
⣿⣿⣿⣿⣷⣿⣿⡛⠙⠛⡏⠀⠰⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⠀⠀⣠⢸⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣇⠀⠀⠀⠀⢀⢀⣤⣤⣀⣀⣤⣼⣿⣿
⣿⣿⣿⣿⣿⣿⡿⠛⠁⣽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⡀⢈⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣷⣤⠀⢿⠋⠋⠉⠈⠁⣸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣷⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡇⠀⠺⠛⣺⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣯⣉⣽⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⢀⠘⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡿⠉⠈⠿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠛⠛⠛⣿⣿⡿⠿⣶⣶⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠃⠀⠈⠛⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡟⠀⠀⢸⣷⣿⣿⠿⣿⣶⣶⣾⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠟⠉⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠁⠀⠀⠈⠙⠛⠛⠀⠙⠛⠻⠿⠿⠿
⠀⣀⢰⣆⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡤⣶
⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⢄⣄⡄⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠙⠷⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣸⣿⣿⣿⡇⠀⠀⠀⠀⢹⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠖⠲⣶⠒⠒⠒⡒⠒⠒⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠴⣆⣠⣤⣤⣼⣿⣿⣿⣿⣿⣿⡇⠠⢀⣶⣿⣿⣿⣿⣿⣧⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠚⠛⣿⠒⠒⠒⣿⠒⠒⠒⠒⠒⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣛⣛⡛⢿⣿⣿⣛⣛⡻⣿⣿⣛⣛⣛⠘⢿⣿⣛⣛⡛⢿⣟⡛⢿⣿⣿⣛⣛⣃⡀⠀⠀⣀⣀⣀⣀⣀⣀⡀⣀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⢠⣿⠋⢉⣛⡃⣼⡟⣭⣝⣷⣌⣿⢿⣭⣻⣷⣴⣿⢫⣍⣛⡂⢼⡇⢸⣿⢿⣿⣍⣉⡁⠀⠀⣿⡇⠉⢹⡿⢩⣽⣿⢠⣤⣤⣤⣤⣿⣤⣤⣤⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤
⡙⣻⣻⣿⣿⣿⣿⣿⣿⠋⠁⠀⠀⠁⠀⠀⠀⠘⣿⣄⣉⣿⡇⢻⣧⣈⣡⣿⠋⢿⣮⣻⣼⡿⠹⣿⣄⣉⣿⡇⣼⣇⣈⣙⢸⣿⣉⣉⡁⠀⠀⣿⡇⠀⢸⡿⠈⠀⣿⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢳⣘⢿⣿⣛⡛⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⢠⣭⣭⣭⣶⣶⣬⣭⣭⣵⣿⣶⣭⣭⣁⣀⣰⣮⣭⣭⣽⣶⣬⣍⣩⣭⣴⣭⣭⣭⣁⡀⠀⠈⠁⠀⠈⠁⠀⠀⠉⠀⠀⠈⣟⢻⣿⣿⣿⣟⣻⣿⣿⣎⣸⡛⣿⠉⣽⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠻⠿⠻⠿⢿⡿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢡⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠖⠐⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠁⠀⠀⠀⠀⠘⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣐⣦⣀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠉⠉⠀⠀⠀⢸⣿⡿⠟⢃⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⣀⣀⣀⣀⣤⣲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⢠⣤⣄⡀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⣀⣀⢀⣀⡀⢀⠀⢀⣀⡀⠀⣀⡀⣠⣠
⣀⠀⠀⠀⠂⠒⠾⠷⠿⢿⣷⣦⠀⠆⠀⠀⠀⠉⢩⡁⠀⢜⢿⣿⣿⣦⣪⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠶⢶⠆⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠛⠻⠿⣿⣿⣿⣿⣿⡿⠿⢿⢴⣷⠁⠀⠀⢖⣾⣷⣶⣿⣾⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡄⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣴⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠛⠛⠳⠦⣿⢄⡛⢴⠀⠀⠟⠹⠻⠏⠉⠙⠛⠛⣱⡶⠆⢉⣻⣟⣉⣽⡟⢿⣿⣿⣿⡿⠻⣿⣿⣷⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣟⣻⣿⣿⣿⣟⣿⢿⣿⣿⣿⣿⣻⠛⠛⠉⠉⠉⠉
⠉⠉⠁⠀⣉⠁⠀⣿⠀⢰⣤⠈⠀⣭⣿⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠻⢿⣿⣿⣿⣿⣷⣾⣷⣶⣶⣭⣭⣅⡀⠈⣙⣛⣦⡀⠀⢐⣗⣤⣄⣠⣀⠀⢀⠀⠀⠟⠿⠿⠟⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⡿⠳⠴⣄⠀⠀⠀⣀
⣤⣄⠀⠀⣿⡇⠀⠀⢹⣧⣀⣴⡖⠁⠀⠀⠀⠀⠀⠸⠀⠲⠶⠶⠒⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⡀⠀⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠶⢿⣿⠛⡛⢻⣿
⣏⢷⣷⣿⣿⣷⣾⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠘⣿⡟⣿⣷⠀⠀⠀⣹⣿⣿⡀⠀⠀⠀⠀⠀⠀⢹⣿⣿⡿⠿⠿⠿⠿⢟⣛⣻⣋⣉⣻⣻
⣯⣮⣿⣿⣿⣭⣤⣭⣥⣠⣄⣸⣿⠀⠀⢐⣓⣒⣂⣰⠐⢋⣐⣲⢒⡂⢸⣿⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⠋⠀⠼⠿⢿⣿⣿⠿⣿⣧⣤⣼⣿⣿⣯⢤⠄⣤⣤⣤⣤⣾⣶⣴⣶⣶⣶⡶⡶⣿⣿⣿⠉⠉⢹⢿
⠟⠳⣿⡿⠿⠷⠄⢹⣯⣭⣽⣿⣿⠀⠀⢸⢉⣷⣖⣀⣠⠌⠉⠬⠩⠉⠼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠠⠤⠴⡧⢤⡤⠾⡤⠀⠛⠋⢙⣿⠀⢤⣬⣽⣿⡿⣿⣿⣿⣿⣿⣿⣧⣧⣄⣼⣿⠀⠀⣾⣿
⠀⣀⠀⠀⣠⡄⠀⠀⠀⠀⠀⣿⣿⠀⡆⢰⣦⡬⠍⠉⠭⢥⣬⣭⠅⠀⢽⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⣀⣀⡀⢀⡀⢀⣀⣴⣾⠻⢾⣿⡀⠀⢙⣿⣿⠒⠀⣸⣿⣿⣿⣿⣿⡇⠛⢿⣿⠶⠶⣿⣿
⢿⡛⣿⣶⡿⢿⣿⠛⡟⢛⣻⣿⣿⣶⣷⣾⣯⣥⡄⣀⣼⣏⣵⣿⣦⠤⠄⠉⠁⠀⢀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠉⠉⠿⠿⠿⠿⠿⠿⣿⣿⣼⣿⠃⠀⠀⢿⣿⠀⢠⠟⠛⠉⠻⢾⣿⡷⠶⠶⣿⠶⠿⣿⣿
⠙⢛⣻⣽⣷⠊⣭⣍⡉⠉⢛⣻⣿⣿⣿⣿⣿⣿⢿⠻⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⢸⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⢿⣿⣿⡃⠀⠈⠃⣿⣴⣿⣶⣾⣦⡤⣼⣿⡇⣤⣄⣼⠀⠀⣿⣿
⡦⢤⣿⡏⢻⣧⣿⣿⡿⠾⠿⠿⡃⣨⣿⢿⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠟⠛⠛⠛⠛⠛⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢐⢀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢛⣻⣿⣦⢸⣿⣿
⣶⠀⣿⣿⣦⣼⡧⠀⢠⣄⠀⡀⠀⣼⣿⡙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣷⠀⠀⣠⣾⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⣹⣿⣿⣼⣿⣿
⣿⣶⣾⣿⣿⣿⣷⡆⣨⣵⣿⣤⠀⡍⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠃⠀⠀⢹⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣾⣾⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣯⣿⠟⠉⢹⣛⣿
⣿⣿⣿⣿⡿⢷⣿⣧⣿⣿⣿⡅⠐⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⠿⣿⠿⠿⣿⠏⢁⠙⠟⠀⠀⣹⣿⣿
⣿⣿⣿⣿⣷⣿⣿⡛⠘⠛⡏⠀⠸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⢠⡞⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣇⠀⠀⠀⠀⣀⢀⣠⣄⣀⣀⣤⣼⣿⣿
⣿⣿⣿⣿⣿⣿⡿⠛⠁⣽⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⣀⡠⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣷⣤⠀⢿⠋⠋⠉⠈⠉⣽⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣾⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⢀⠶⠛⣷⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡀⢀⡘⢧⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⠉⠉⢿⠿⠿⠿⢿⠿⠿⠿⠿⠿⠿
⠛⠛⠛⣿⣿⡿⠿⣶⣶⣾⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡏⠃⠘⠊⠻⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡟⠀⠀⢹⣷⣿⣿⠿⣿⣶⣶⣾⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠎⠉⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡇⠀⠀⠀⢀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠀⠀⠀⠈⠙⠛⠛⠀⠙⠟⠻⠿⠿⠿
⢀⣀⣸⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⢈⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡤⡶
⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠈⠁⣀⡈⢻⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡇⠀⠀⠨⠽⢾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣸⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⠖⠒⣶⠒⠒⠒⠒⠒⠒⠐⠐⠒⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢰⡶⣶⣠⣤⣤⣾⣿⣿⣿⣿⣿⣿⡇⠀⢠⣶⣿⣿⣿⣿⣿⣷⣠⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠛⣿⠓⠒⠒⣿⠒⠒⠒⠒⠒⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣦⠀⠀⠀⠀⠠⠍⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣽⣿⣿⣿⣿⣿⡟⠉⢹⣿⣿⡿⠿⠟⠃⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣿⣤⣤⣤⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤
⡙⢹⢻⣿⢿⣿⣿⣿⣿⡋⠉⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣶⣿⣇⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣶⣶⣾⣶⣶⣦⣤⡄⠀⠀⠀⠀⠀⠀⠀⠈⠉⠋⠋⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⣿⣿⠟⣿⣿
⠳⣘⣻⣿⣋⣛⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣙⣈⣿⣿⣿⣿⣿⣿⣷⣬⣹⣿⣿⣿⣿⣿⣁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⢿⣿⣿⣿⣟⣿⣿⣿⣞⣘⢛⣿⠨⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠻⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣶⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢁⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠆⠐⣀⣀⡄⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣥⣈⣷⣶⣦⣆⣀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⠉⠉⠀⠀⠀⢸⣿⡿⠟⠃⠀⠀⠀⠀⠀⣀⣀⣀⠀⢀⣀⣀⣠⣀⣠⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡠⣤⣄⣀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣠⣄
⣀⠀⠀⠀⠂⠒⠶⠶⠿⢿⣷⣦⠀⠆⠀⠀⠀⠉⢩⡅⠈⣿⣿⣿⣿⣧⣩⣩⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠶⢶⠆⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠛⠻⠿⣿⣿⣿⣿⣿⡿⠿⣿⢸⣿⠉⠀⠀⢖⣾⣷⣷⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⢀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⢠⣴⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠛⠛⠳⠤⣿⢀⡛⢰⠀⠀⠘⠙⠻⠏⠉⠛⠛⠿⢣⣖⣖⢉⣙⣻⣉⢭⣝⠻⢿⣿⣿⣿⠿⣿⣿⣟⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⠻⠛⠉⠉⠉⠉
⠉⠉⠁⠀⢉⠁⠀⣿⠀⢰⣤⠈⠀⣭⣿⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠘⠿⣿⣿⣿⣿⣿⣶⣷⣾⣷⣶⣿⣭⣄⣈⣙⣛⣷⡀⠀⢀⣖⣤⣄⣀⣀⠀⢀⠀⠀⠿⠿⢿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⠧⠄⡤⠀⠀⠀⡀
⣤⣄⠀⠀⣿⡇⠀⠀⢩⣧⣀⣴⠖⠁⠀⠀⠀⠀⠀⠘⠀⠲⠶⠶⠶⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⡀⠀⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠷⠿⣿⠛⠛⢻⣿
⣍⢴⣶⣾⣿⣷⣶⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⣿⣟⣿⣷⠀⠀⠀⣸⣿⣿⡀⠀⠀⠀⠀⠀⠀⠻⣿⣿⡿⠿⠿⠿⠿⢟⣛⣻⣋⣋⣻⣻
⣿⡯⣿⣿⣿⣭⣤⣭⣉⣠⣀⣩⣿⠀⠀⢐⣓⡒⣂⢀⠐⢃⣐⣖⢒⡋⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣯⠀⢼⠿⢿⣿⣿⠿⣿⣧⣤⣼⣿⣿⣿⢤⡄⣤⣤⣤⣤⣿⣶⣴⡶⣶⣶⡶⡶⡿⣿⣿⠉⠉⢹⢿
⠟⠻⣿⡿⠿⠽⠀⢸⣯⣭⣽⣿⣿⠀⠀⢸⡘⣷⣆⣀⣀⠌⠉⠩⠉⠁⠌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠠⠤⠴⡧⢤⡤⠾⡤⠀⠛⠉⢩⣿⠀⢤⣬⣽⣿⡿⣿⣿⣿⣿⣿⣿⣧⣧⡄⣸⣿⠀⠀⣾⣿
⡀⣀⠀⠀⢠⡄⠀⠀⠀⠀⠀⣿⣿⠀⡆⢰⣦⡬⠍⠉⠭⢥⣬⣭⠄⠀⣿⣟⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣀⡀⢀⡀⢀⡀⣴⣾⠻⢾⣿⡀⠀⠉⣿⣿⠒⠀⣼⣿⣿⣿⢿⣿⡇⠛⢿⣿⠶⠶⣿⣿
⢿⡛⣷⣶⡿⢻⣿⠛⠟⢛⣻⣿⣿⣶⣷⣾⣯⣯⡄⣀⣽⣏⣵⣿⣧⡤⠌⠉⠀⠀⠀⣘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⠉⠻⠿⠿⠿⠿⠿⣿⣿⣼⣿⠁⠀⠀⢿⣿⠀⢨⠿⠛⠉⠻⢾⣿⡷⠶⠶⣿⠶⠿⣿⣿
⠘⢛⣻⣽⣷⠊⣭⣍⡉⠉⢛⣛⣿⣿⣿⣿⣿⣿⣿⡿⠟⠏⠛⠙⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠾⠿⣿⣿⡃⠀⠀⢯⣿⣴⣿⣶⣶⣦⣀⣼⣿⡇⣤⣄⣼⠀⠀⣿⣿
⡦⢠⣿⡟⢻⣧⣿⣿⡿⠾⠿⢿⡇⢸⣿⢿⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡿⢟⡛⠉⠙⠉⠛⣻⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠐⢀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢙⣺⣿⣦⢸⣿⣿
⣶⠄⣿⣿⣦⣼⡯⠀⢠⣄⢀⡀⠀⣼⣿⡙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⠀⠀⣠⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣹⣿⣿⣼⣿⣿
⣿⣶⣾⣿⣿⣿⣷⡆⣨⣵⣿⣦⢀⡍⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⢹⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣾⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣯⣽⠟⠉⢹⣟⣿
⣿⣿⣿⣿⡿⢷⣿⣧⣿⣿⣿⡅⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⠿⣿⠿⠿⣿⠏⢀⠙⠟⠀⠀⣹⣿⣿
⣿⣿⣿⣿⣷⣿⣿⡛⠙⠛⡏⠀⠸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⢰⡆⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣇⠀⠀⠀⠀⣀⢀⣤⣤⣀⣠⣤⣽⣿⣿
⣿⣿⣿⣿⣿⣿⡿⠋⠁⣽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠀⠀⢀⡄⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣷⣄⠀⢿⠋⠋⠉⠈⠈⢼⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣾⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠒⠋⢻⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣯⣉⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠈⣳⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⡿⠉⠈⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠛⠛⠛⣿⣿⡿⠿⣶⣶⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠸⠀⠀⠉⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡟⠀⠀⢸⣷⣿⣿⠿⣿⣶⣶⣾⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠟⠉⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⣽⣿⣿⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠁⠀⠀⠈⠉⠛⠛⠀⠙⠛⠻⠿⠿⢿
⠀⠀⢰⡗⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⢹⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠤⢶
⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⠀⢤⣤⣴⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣇⠀⠀⠈⢩⢸⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣸⣿⣿⣿⡿⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠲⣶⠒⠒⠒⠐⠒⠒⠐⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⢷⣦⣤⣤⣴⣿⣿⣿⣿⣿⣿⡧⠀⢠⣶⣿⣿⣿⣿⣿⣿⣠⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠷⠶⠶⠶⠶⠶⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠚⠛⣿⠓⠒⠒⣿⠒⠒⠒⠒⠒⠒⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣧⡄⠀⠀⠀⠀⠌⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⣽⣿⣿⣿⣿⣿⡟⠉⢹⣿⣿⡿⠿⠟⠃⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣿⣤⣤⣤⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤
⠛⢹⣻⣿⣿⣿⣿⣿⣿⣟⠋⠉⠈⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣿⣇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣾⣶⣦⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠋⠋⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿
⢶⣸⣻⣿⣛⣛⣿⣿⣿⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣿⣿⣿⣿⣿⣿⣿⣬⣹⣿⣿⣿⣿⣿⣁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣟⢻⣿⣿⣿⣟⣻⣿⣿⣆⣘⡟⣯⠩⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢁⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠉⠭⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣥⣬⣥⣶⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠉⠉⠀⠀⠀⢸⣿⡿⠟⠃⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⡀⣀⣀⣀⣀⣠⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡤⠤⠤⢀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣀
⣀⠀⠀⠀⠀⠐⠾⠶⠿⢿⣷⣤⠀⠆⠀⠀⠀⠉⢩⡁⠀⣝⣿⣿⣿⣷⣉⣁⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠐⢶⠆⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠛⠻⠿⡿⣿⣿⣿⣿⡿⠿⢯⢴⣷⠉⠀⠀⢖⣲⣶⣶⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠛⠛⠳⠤⣿⢀⡛⢠⠀⠀⠈⠙⠻⠏⠉⠙⠛⠻⢣⣾⣶⣁⣬⣻⣭⠬⣿⠛⠿⣿⣿⣿⡿⢿⣿⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠛⠉⠉⠉⠉
⠉⠉⠁⠀⢉⠁⠀⣿⠀⢠⣤⠈⠀⣭⡿⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣷⣿⣾⣿⣶⣶⣾⣤⣀⣈⣛⣷⣆⠀⠀⣀⣤⣄⣀⣀⠀⢀⠀⠀⠛⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⠧⠠⡤⠀⠀⠀⠀
⣤⡄⠀⠀⣿⡃⠀⠀⢩⣇⣀⣴⠆⠁⠀⠀⠀⠀⠀⠘⠀⠰⠶⠶⠖⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⡀⠀⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠶⠿⣿⠛⠛⢻⣿
⣍⢴⣶⣾⣿⣷⣶⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⣿⣟⣿⣷⠀⠀⠀⢸⣿⣿⡀⠀⠀⠀⠀⠀⠀⠿⣿⣿⠿⠿⠿⠿⠿⢟⣛⣛⣉⣉⣻⣻
⡯⣮⣿⣿⣿⣭⣤⣭⣁⣀⣄⣸⣿⠀⠀⠐⡓⡒⣂⢀⠐⢂⣐⠖⠒⡂⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⠀⢰⠿⢿⣯⣿⠿⣿⣧⣤⣼⣿⣿⣿⢤⡄⣤⣤⣤⣤⣾⣶⣴⡶⣶⣶⡶⡶⡿⣿⣿⠉⠉⢹⢿
⠗⠳⣿⠿⠿⠼⠀⢹⣯⣭⣽⣿⣿⠀⠀⢰⠀⣦⣔⣀⣀⠌⠉⠉⠈⠉⠌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠠⠤⠴⡧⢤⡤⠴⡤⠀⠛⠉⢩⣿⠀⢠⣬⣭⣿⡿⢿⣿⣿⣿⣿⢿⣧⣧⡄⣘⣿⠀⠀⣾⣿
⠀⣀⠀⠀⣠⡄⠀⠀⠀⠀⠀⣿⣿⠀⡆⢐⣂⡈⠍⠉⠩⢥⣨⣭⠀⠀⣹⣝⡟⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡀⢀⡀⢀⡀⣴⣾⠻⢾⣿⡀⠀⠉⣿⣿⠒⠀⣸⣿⣿⣿⣿⣿⡇⠛⠿⣿⠶⠶⣿⣿
⢿⡛⣷⣶⡿⢻⣿⠛⠟⠛⣻⣿⢿⣶⣷⣾⣭⣤⡄⣀⣹⣉⣵⣿⣧⠠⠈⠉⠀⠀⠀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠉⠩⠽⠿⠿⠿⠿⣿⣿⣼⣿⠁⠀⠀⢿⣿⠀⢠⠟⠛⠉⠹⢾⣿⡷⠶⠶⣿⠶⠿⣿⣿
⠙⠛⣻⣽⣷⠈⣭⣉⡉⠉⢛⣛⡿⢿⣿⣿⣿⣿⠟⠻⠏⠋⠛⠉⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠿⣿⣿⡃⠀⠀⠀⣿⣴⣿⣶⣾⣦⡀⣤⣿⡇⣤⢀⣼⠀⠀⣿⣿
⡦⢠⣾⡋⢻⣧⣿⣿⡿⠾⠿⠿⠃⢨⣿⢿⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣛⣉⠉⠉⠉⠉⣻⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⢀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢙⣺⣿⣦⠸⣿⣿
⣦⠀⣾⣿⣦⣼⡇⠀⢠⡀⠀⠀⠀⣸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠀⠀⢠⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣹⣿⣿⣼⣿⣿
⣿⣶⣾⣿⣿⣿⣷⡦⣠⣵⡿⡤⠀⡉⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠘⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣾⣿⣿⣿⣿⣿⡿⢿⢿⣿⣿⣯⣿⠟⠉⢩⣛⣿
⣿⣿⣿⣿⡿⢷⣿⣧⣿⣿⣿⡀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡁⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⠿⣿⠿⠿⣿⠏⢀⠙⠟⠀⠀⣹⣿⣿
⣿⣿⣿⣿⣷⣿⣿⡛⠘⠛⡋⠀⠰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡃⠀⠠⠄⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣇⠀⠀⠀⠀⡀⢀⣤⠀⣀⣀⣤⣼⣿⣿
⣿⣿⣿⣿⣿⣿⡿⠛⠁⣽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠃⠀⢠⡄⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣷⣄⠀⢷⠋⠋⠉⠀⠈⢸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣶⣶⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠘⠉⡹⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣯⣉⣽⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⢀⣹⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⡿⠁⠈⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠛⠛⠛⣿⣿⡿⠿⣶⣶⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠸⠂⠀⠸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡟⠀⠀⢸⣶⣿⣿⠿⣿⣶⢶⣾⣿⣿
⠀⠀⠀⠠⠀⠀⠀⠟⠉⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⠀⠀⠀⠀⣸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠁⠀⠀⠈⠉⠙⠛⠀⠛⠛⠻⠿⠿⠿
⠀⠀⢰⡆⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⢹⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡤⠶
⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⠀⠠⢤⣼⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣇⠀⠀⠈⠻⢹⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣸⣿⣿⣿⡟⠀⠀⠀⠀⢀⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠲⣶⠒⠒⠒⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢖⣦⣤⣤⣤⣿⣿⣿⣿⣿⣿⡧⠀⢠⣶⣿⣿⣿⣿⣿⣿⣠⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠷⠶⠶⠶⠶⠶⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠓⠛⣿⠒⠒⠒⣿⠒⠒⠒⠒⠒⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣧⣤⠀⠀⠀⠀⠌⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣵⣽⣿⣿⣿⣿⣿⡟⠉⢹⣿⣿⡿⠿⠟⠃⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣿⣤⣤⣤⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤
⠛⢻⣻⣿⣻⣿⣿⣿⣿⣛⠋⠉⠈⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣾⡏⣒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣾⣶⣶⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠋⠋⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡿⣿⣿⡟⣿⣿
⢶⣐⢻⣿⣋⡛⢿⣿⣿⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣉⣽⣿⣿⣿⣿⣿⣿⣬⣹⣿⣿⣿⣿⣿⣁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣟⢿⣿⣿⣿⣟⢻⣿⣿⣂⣘⠙⣯⠀⣹⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠻⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢁⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡖⠈⠩⡭⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣥⣤⣵⣶⣶⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⠉⠉⠀⠀⠀⢸⣿⡿⠟⠃⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⣀⣀⣠⣀⣀⢠⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡤⠤⢤⢄⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⡀⣠⣄
⣀⠀⠀⠀⠂⠒⠾⢶⠿⢿⣷⣦⠀⠆⡀⠀⠀⠉⢩⡅⠈⢸⣿⣿⣿⣿⣉⣅⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠐⢶⠆⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠛⠻⠿⣿⣿⣿⣿⣿⡿⠿⢯⢴⣷⠉⠀⠀⢖⣾⣶⣶⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⡀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠁⠛⠛⠳⠤⣿⢂⡛⣴⠀⠀⠘⠻⠻⠏⠉⠛⠛⠻⢧⣦⣖⣁⣽⣿⣭⠭⣟⠛⠿⣿⣿⣿⠿⣿⣿⣿⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⠛⠟⠉⠉⠉⠉
⠉⠉⠁⠀⢉⠁⠀⣿⠀⢰⣤⠌⠀⣽⣿⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣷⣿⣿⣿⣶⣾⣧⣤⣀⣉⣻⣿⣄⠀⢀⣂⣤⣄⣀⣀⠀⢀⠀⠀⠟⠿⠿⡿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠄⣤⠀⠀⠀⡀
⣤⣄⠀⠀⣿⡇⠀⠀⢹⣧⣀⣴⠖⠁⠀⠀⠀⠀⠀⠸⠀⠲⠶⠶⠶⠀⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⡀⠀⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠷⠿⣿⠛⠛⢻⣿
⣍⢾⣶⣿⣿⣷⣶⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⣿⣟⣿⣷⠀⠀⠀⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⡿⠿⠿⠿⠿⢟⣛⣻⣉⣋⣻⣻
⣿⣯⣿⣿⣿⣭⣤⣭⣍⣠⣄⣩⣿⠀⡀⢐⣓⣒⣂⢐⠘⢃⣐⣒⢒⡊⠈⣿⣯⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⠀⢰⠿⢿⣿⣿⠿⣿⣧⣤⣼⣿⣿⣿⢤⡄⣤⣤⣤⣤⣿⣶⣶⣶⣶⣶⡶⡶⡿⣿⣿⠉⠉⢹⣿
⠟⠻⣿⠿⠿⠽⠀⢽⣯⣭⣽⣿⣿⠀⠀⢸⠙⣷⣖⣀⣀⠌⠉⠭⠉⠁⠌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠠⠤⠴⡧⢤⡤⠾⡤⠀⠛⠉⢩⣿⠀⢠⣬⣭⣿⡿⢿⣿⣿⣿⣿⣿⣧⣧⡄⣹⣿⠀⠀⣿⣿
⡀⣀⠀⠀⢠⡄⠀⠀⠀⠀⠀⣿⣿⠀⡆⢰⣦⣭⡍⠉⠭⢥⣭⣭⠅⠀⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⢀⡀⢀⡀⢀⡀⣴⣾⠻⢾⣿⡀⠀⠉⣿⣿⠒⠀⣸⣿⣿⣿⢿⣿⡇⠛⢿⣿⡶⠶⣿⣿
⢿⡛⣷⣶⡿⢻⣿⠛⡟⢛⣻⣿⢿⣶⣷⣾⣿⣯⡄⢀⣹⣫⣵⣿⣯⡤⠉⠉⠀⠀⠀⡨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠉⠩⠽⠿⠿⠿⠿⣿⣿⣼⣿⠁⠀⠀⣿⣿⠀⣸⠿⠛⠉⠻⢾⣿⡷⠶⠶⣿⠶⠿⣿⣿
⠘⣛⣻⣽⣷⠈⣭⣉⡉⠉⢛⣛⣿⣿⣿⣿⣿⣿⣟⡿⠿⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠐⠀⠀⠾⠿⣿⣿⡃⠀⠀⡯⣿⣴⣿⣶⣾⣶⣀⣾⣿⡇⣤⣄⣼⡀⠀⣿⣿
⡦⢠⣿⡋⢻⣧⣿⣿⡿⠾⠿⠿⡃⢸⣿⢿⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣛⡉⠉⠉⠉⢉⣻⡿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠐⢀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⢙⣺⣿⣦⢸⣿⣿
⣶⠀⣾⣿⣦⣼⡯⠀⢠⣄⢀⡀⠀⣸⣿⡿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⣴⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣹⣿⣿⣼⣿⣿
⣿⣶⣾⣿⣿⣿⣷⡦⣨⣵⣿⣤⢀⡍⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠸⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣾⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣯⣿⠟⠉⢹⣟⣿
⣿⣿⣿⣿⡿⢷⣿⣧⣿⣿⣿⡅⠐⠂⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠁⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⠿⣿⠿⠿⣿⠏⢁⠙⠟⠀⠀⣹⣿⣿
⣿⣿⣿⣿⣷⣿⣿⡛⠙⠛⡏⠀⠰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡀⠀⠰⠆⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣇⠀⠀⠀⠀⣀⢀⣤⣤⣀⣠⣤⣼⣿⣿
⣿⣿⣿⣿⣿⣿⡿⠛⠁⣽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⠉⠀⢀⣄⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣷⣄⠀⣿⠋⠋⠉⠈⠀⢽⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣶⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠙⠋⡹⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣯⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⢀⣹⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⡿⠉⠈⠿⡿⠿⠿⢿⠿⠿⠿⠿⠿⠿
⠛⠛⠛⣿⣿⡿⠿⣶⣶⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠸⠀⠀⠚⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡟⠀⠀⢸⣷⣿⣿⠿⣿⣶⣶⣾⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠟⠉⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⠀⠀⠀⠀⣼⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠁⠀⠀⠈⠉⠛⠛⠀⠙⠿⠻⠿⠿⠿
⠀⣀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⢀⢹⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡤⠶
⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⠀⠴⣶⣴⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣷⠀⠀⠈⠩⢽⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣸⣿⣿⣿⡿⠀⠀⠀⠀⢸⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠖⠲⣶⠒⠒⠒⠐⠒⠒⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢺⢖⣢⣤⣤⣤⣿⣿⣿⣿⣿⣿⡧⠀⢠⣶⣿⣿⣿⣿⣿⣿⣠⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠓⠛⣿⠓⠒⠒⣿⠒⠒⠒⠒⠒⠒⠂⠐⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣧⣤⠀⠀⠀⠀⠌⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⣽⣿⣿⣿⣿⣿⡟⠉⢹⣿⣿⡿⠿⠟⠃⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣿⣤⣤⣤⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤
⠛⢿⣻⣿⣿⣿⣿⣿⣿⣟⠋⠉⠉⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣾⣏⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣾⣶⣶⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠉⠉⠋⠋⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿
⢶⣸⣻⣿⣛⣛⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣉⣹⣿⣿⣿⣿⣿⣿⣬⣹⣿⣿⣿⣿⣿⣁⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⢿⣿⣿⣿⣟⣻⣿⣿⣖⣘⠛⣿⠩⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢁⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢖⠁⠩⣿⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣷⣶⣶⣿⣿⣷⣦⣤⣀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠉⠉⠀⠀⠀⢸⣿⡿⠟⠃⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⣀⣀⣠⣀⣀⣄⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠶⠲⠶⠠⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣀
⣀⠀⠀⠀⠂⠒⠾⠷⠿⢿⣷⣦⠀⠆⠀⠀⠀⠉⢩⠅⠀⢙⣿⣿⣿⣷⣉⣍⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠐⢶⠆⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠛⠻⠿⣿⢿⣿⣿⣿⡿⠿⢯⢴⣷⠉⠀⠀⢖⣲⣶⣷⣿⣿⣿⣿⡟⢛⠟⣛⢿⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠄⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⢀⣴⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠛⠛⠱⠦⣿⢀⡛⢲⠀⠀⠘⠙⠻⠏⠉⠙⠙⠻⢷⣿⣻⣿⣿⣷⣷⣾⣿⣷⣭⣟⣿⣿⠏⠻⢿⣿⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠛⠛⠉⠉⠉⠉
⠉⠉⠁⠀⢉⠁⠀⣿⠀⢰⣤⠈⠀⣭⣿⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣬⣿⣧⠀⠀⣆⣤⣄⣀⣀⠀⢀⠀⠀⠟⠿⢿⡿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠧⠀⣄⠀⠀⠀⠀
⣤⡄⠀⠀⣿⠃⠀⠀⢸⣧⣀⣴⠆⠀⠀⠀⠀⠀⠀⠸⠀⠲⠶⠶⠖⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⡀⠀⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⢽⣿⣿⣿⣿⣿⣿⣿⠶⠿⣿⠛⠛⢻⣿
⣍⢾⣶⣿⣿⣷⣶⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⣿⣟⣿⣷⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⡿⠿⠿⠿⠿⢟⣛⣻⣉⣋⣻⣻
⣿⣾⣿⣿⣿⣭⣤⣭⣍⣀⣀⣸⣿⠀⡀⠐⡓⡒⣂⢀⠐⠃⡀⢐⠒⡂⠀⣺⣷⣴⣶⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⢼⠿⢿⣿⣿⠿⣿⣧⣤⣼⣿⣿⣿⢤⡄⣤⣤⣤⣤⣾⣶⣴⡶⣶⢶⡶⡶⡿⣿⣿⠉⠉⢹⢿
⠟⠻⣿⠿⠿⠽⠄⢸⣯⣭⣽⣿⣿⠀⠀⢸⠀⣖⣖⣀⣰⠌⠉⠈⠉⠉⠄⢻⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠠⠦⠴⡧⢤⡤⠾⡤⠀⠛⠉⢩⣿⠀⢠⣬⣭⣿⡿⢿⣿⣿⣿⣻⣾⣧⣧⡄⣘⣿⠀⠀⣾⣿
⠀⡀⠀⠀⣠⡄⠀⠀⠀⠀⠀⣿⣿⠀⡄⢐⡆⡨⠍⠉⠩⢅⣨⢭⠀⠀⣽⣧⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢀⡀⢀⡀⣴⣾⠻⢾⣿⡀⠀⠉⣿⣿⠒⠀⣸⣿⣿⣿⢻⣿⡇⠛⢿⣿⠶⠶⣿⣿
⢿⡛⣷⣶⡿⢻⣿⠛⠟⢛⣻⣿⣿⣶⣷⣾⣭⣤⡄⣀⣹⣋⣵⣿⡍⠀⠈⠁⠀⠀⢉⡉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠡⠹⠯⠿⠿⠿⣿⣿⣼⣿⠁⠀⠀⢿⣿⠀⢸⠿⠛⠉⠹⢾⣿⡷⠶⠶⢿⠶⠿⣿⣿
⠙⠛⣻⣽⣷⠈⣭⣉⡉⠉⢛⣛⡿⢿⣿⣿⣿⣿⠉⠩⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⢸⣿⣷⣿⠽⠿⠿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠘⠛⠿⠻⠃⠀⠀⠂⣿⣴⣿⣶⣶⣦⡀⣤⣷⡇⣤⠀⣼⡀⠀⣿⣿
⡦⢠⣾⡏⢻⣧⣿⣿⡿⠾⠿⠿⡃⢨⣿⢿⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣭⣶⡄⠀⠀⢀⣴⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢙⣺⣿⣶⢸⣿⣿
⣶⠀⣾⣿⣦⣼⡇⠀⢠⣀⠀⠀⠀⣸⣿⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠇⠀⠀⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣹⣿⣿⣼⣿⣿
⣿⣶⣾⣿⣿⣿⣷⡆⣨⣵⡿⣤⠀⡉⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣾⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣯⣿⠟⠉⢩⣛⣿
⣿⣿⣿⣿⡿⢷⣿⣧⣿⣿⣯⡀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⠀⠀⠀⢸⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⠿⣿⠿⠿⣿⠏⢀⠙⠿⠀⠀⣸⣿⣿
⣿⣿⣿⣿⣷⣿⣿⡛⠘⠛⡏⠀⠸⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⢀⠀⠘⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣇⠀⠀⠀⠀⣀⢀⣤⢄⣀⣠⣤⣼⣿⣿
⣿⣿⣿⣿⣿⣿⡿⠛⠁⣽⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⢀⣤⢼⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣷⣄⠀⢽⠋⠋⠉⠈⠈⢸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣾⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣟⠀⠀⠠⣏⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣯⣉⣽⣽⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡯⡀⠀⠐⡜⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⡿⠁⠈⠿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠛⠛⠛⣿⣿⡿⠿⣶⣶⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡏⠀⠀⠀⠁⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⡟⠀⠀⢸⣷⣿⣿⠿⣿⣶⣶⣾⣿⣿
⠀⠀⠀⠠⠀⠀⠀⠟⠉⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠁⠀⠀⠈⠉⠙⠛⠀⠙⠛⠻⠿⠿⠿
⠀⠀⢰⣇⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡇⠀⠀⠀⡀⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠤⠴
⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡇⠀⠋⠻⣵⣼⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠉⢹⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠖⠲⣶⠒⠒⠒⠐⠒⠂⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠽⢶⣤⣤⣴⣿⣿⣿⣿⣿⣿⣿⡇⠠⢀⣴⣿⣿⣿⣿⣿⣿⣠⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠛⣿⠒⠒⠒⣿⠒⠒⠒⠒⠒⠒⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣧⣤⠀⠀⠀⠀⠌⠙⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣮⣽⣿⣿⣿⣿⣿⡿⠋⢹⣿⣿⡿⠿⠟⠃⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣤⣤⣤⣤⣿⣤⣤⣤⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤
⠛⢹⣻⣿⣿⣿⣿⣿⣿⣛⠋⠉⠈⠁⠀⠀⠀⠀⠀⢀⣀⣤⣵⣿⣁⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣶⣶⣾⣾⣦⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠋⠉⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⡟⣿⣿
⠶⣘⣻⣿⣈⡛⢿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿⣿⣟⣁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⢿⣿⣿⣿⣛⣻⣿⣿⡂⡘⠛⣿⠀⣻⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠻⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣶⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢁⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⢟⡻⣾⡷⠀⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣵⣿⣿⣿⣿⣿⣿⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⠉⠉⠀⠀⠀⢸⣿⡿⠟⠒⠀⠀⠀⠀⠀⣀⣀⣀⠀⢀⣀⣀⣀⣀⣀⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠉⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⢀⢀⠀⣀⣀⠀⠀⠀⡀⣀⢀⣀⣀⣠⣀
⣀⠀⠀⠀⠂⠐⠾⢷⠿⢿⣷⣦⠀⠆⡀⠀⠀⠉⢩⡍⠀⢛⢿⣿⣿⣮⣩⣈⢥⢾⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡶⠶⢶⠆⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠛⠻⠿⣿⢿⣿⣿⣿⡿⠿⢿⢸⣿⠉⠀⠀⢖⣶⣶⣶⣿⣾⣿⣿⣿⢿⣿⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠈⡅⠀⠈⠀⠀⠀⠀⠀⠀⠀⢀⣤⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠛⠛⠱⠦⣿⢀⡛⣴⠀⠀⠞⠙⠻⠏⠉⠙⠛⠻⠏⣀⡔⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⢽⠙⠛⠉⠉⠉⠉
⠉⠉⠁⠀⢉⠁⠀⣿⠀⢰⣤⠈⠀⣽⡿⠄⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣖⣠⣄⣀⣀⠀⢀⠀⠀⠟⠻⢿⠿⠻⠽⡿⣿⣿⣿⣿⣟⣿⣿⣯⠷⡔⡤⠀⠀⠀⠀
⣤⡄⠀⠀⣿⡇⠀⠀⢹⣇⣀⣴⡆⠁⠀⠀⠀⠀⠀⠸⠀⠲⠶⠶⠶⠂⠀⠀⠀⠘⣿⣿⣿⣿⡿⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⡀⠀⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⠷⠿⣿⠛⠛⢻⣿
⣏⣾⣶⣿⣿⣷⣶⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⣿⡟⣿⣷⠀⠀⠀⣸⣿⣿⡀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡿⢿⠿⠿⠿⢟⣛⣻⣉⣉⣻⣻
⣿⣮⣿⣯⣿⣭⣤⣭⣍⣠⣄⣸⣿⠀⠀⢐⣓⡒⣂⢰⠒⢋⣐⣒⢓⡐⠐⠒⢒⠚⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⢿⣿⣿⠿⣿⣧⣤⣼⣿⣿⣿⢤⡄⣤⣤⣤⣤⣿⣶⣴⣶⣶⢶⡶⡶⣿⣿⣿⠉⠉⢹⣿
⠟⠻⣿⠿⠿⠿⠀⢽⣯⣭⣽⣿⣿⠀⠀⢸⠙⣶⣖⣀⣠⠌⠉⠭⠉⠉⢈⠿⠿⠆⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠤⠴⠧⢤⡤⠼⡤⠀⠛⠋⢹⣿⠀⢤⣬⣽⣿⡿⣿⣿⣿⣿⣿⣿⣧⣧⡄⣻⣿⠀⠀⣾⣿
⡀⣀⠀⠀⣠⡄⠀⠀⠀⠀⠀⣿⣿⠀⡆⢸⣦⣭⡭⠩⠭⢯⣭⣭⡥⠀⠛⠀⠀⠠⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⠻⢾⣿⡀⠀⠉⣿⣿⠒⠀⣸⣿⣿⣿⢿⣿⡇⠛⢿⣿⠶⠶⣿⣿
⢿⡛⣿⣶⡿⢻⣿⠛⢟⢛⣻⣿⢿⣶⣷⣾⣯⣿⠣⡔⠺⠟⠓⠋⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⠿⠗⠀⠀⠺⠿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠁⠉⠘⠛⠁⠀⠀⢿⣿⠀⢨⠿⠛⠉⠻⢿⣿⡷⠶⠶⢿⠶⠿⣿⣿
⠙⢛⣻⣿⣷⠊⣭⣉⡉⠉⢛⣻⣿⣿⣿⣿⡿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣭⣾⣶⠀⠀⢀⣴⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⣿⣴⣿⣶⣶⣦⣤⣼⣿⣇⣤⣄⣼⠀⠀⣿⣿
⡧⢠⣿⡟⢻⣧⣿⣿⡿⠾⠿⢿⡇⣸⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡟⡀⢀⢸⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢛⣻⣿⣦⢸⣿⣿
⣶⠄⣿⣿⣦⣽⡯⠀⢠⣄⠀⡀⠀⣹⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⠷⠿⣷⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣹⣿⣿⣼⣿⣿
⣿⣶⣾⣿⣿⣿⣷⡦⣨⣥⣿⣤⠂⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣇⣠⢶⡾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⣾⣿⣿⣿⣿⣿⡿⢿⢿⣿⣿⣿⣿⠟⠉⢹⣟⣿
⣿⣿⣿⣿⡿⢷⣿⣧⣿⣿⣿⡍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣯⣡⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⠿⣿⠿⠿⣿⠏⢁⠙⠟⠀⠀⣹⣿⣿
⣿⣿⣿⣿⣷⣿⣿⡛⠘⠛⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⢀⢻⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣇⠀⠀⠀⠀⣀⢀⣤⣤⣀⣀⣤⣽⣿⣿
⣿⣿⣿⣿⣿⣿⡿⠛⠁⣽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣟⣿⣾⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣷⣤⠀⢿⠛⠏⠉⠈⠉⣸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣽⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣯⣉⣽⣭⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⡟⠛⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡿⠉⠈⠿⡿⠿⠿⢿⠿⠿⠿⠿⠿⠿
⠛⠛⠛⣿⣿⡿⠿⣶⣶⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⣧⣄⠀⠸⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⢹⣷⣿⣿⠿⣿⣶⣶⣾⣿⣿
⠀⠀⠀⠰⠀⠀⠀⠿⠁⠀⠀⠀⠀⠀⠀⠀⢠⣴⣶⣶⣿⣦⣀⡀⠀⠀⠀⠀⠀⢀⣿⣿⣿⡏⣿⣿⣇⣰⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠈⠙⠛⠛⠀⠙⠿⠿⠿⠿⠿
⠀⠀⢰⡇⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠠⣿⠏⡻⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡤⣶
⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣾⣿⣿⣿⡇⣀⡀⠌⢸⣾⣿⣿⣾⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢠⣿⣿⣿⣿⡿⠨⣿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠆⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⢸⣿⣿⣿⣿⢂⣀⡆⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠒⠒⠒⠒⠒⠒⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⠻⣿⣿⣿⡿⠛⠁⠀⠀⠀⣿⣿⣿⣿⣿⠘⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠿⠶⠶⠶⠶⠶⠷⠶⠦⠀⠀⠀⠀⠈⠁⠀⠈⠉⠉⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⢸⣿⡿⣿⣿⣿⣿⣿⣿⣿⠟⠸⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠶⠗⠚⣿⠒⠒⠒⣿⠒⠒⠒⠒⠒⠂⠂⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣇⣰⣻⣷⣿⢿⣿⣿⣿⣿⣯⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⣤⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣿⣤⣤⣤⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤
⠛⢻⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠉⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠋⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿
⢶⣐⣻⣿⣛⣛⢿⣿⣿⠋⡛⢛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡉⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⡀⠀⠀⠀⢀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⡟⢿⣿⣿⣿⣟⣿⣿⣿⣇⣚⡋⣿⠹⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣶⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢁⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⢫⣹⣿⡋⠀⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⠉⠉⠀⠀⠀⢸⣿⡿⠟⠣⠀⠀⠀⠀⠀⣀⣀⣀⠀⢀⢀⣀⣀⣀⣀⣠⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⠁⠀⠀⠀⠀⠀⠀⠀⠐⠆⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⡀⠀⠀⢀⣀⢀⡀⡀⣀⣠⣀
⣀⠀⠀⠀⠀⠒⠶⢶⠿⢿⣷⣦⠀⠆⠀⠀⠀⠉⢩⡅⠀⠚⣿⣿⣧⣧⣃⣅⠄⣿⢋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣿⡶⠶⢶⠆⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠛⠻⠿⣿⣿⣿⣿⣿⡿⠻⢿⢴⣿⠉⠀⠀⢖⣶⣷⣶⣿⣿⣿⣿⣿⢿⣿⠛⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠈⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⢠⣴⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠛⠛⠳⠦⣿⢂⡛⣤⠀⠀⠚⠙⠻⠏⠉⠙⠛⠻⠏⢀⠔⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⢿⠙⠛⠉⠉⠉⠉
⠉⠉⠁⠀⢉⠁⠈⣿⡀⢰⣤⠈⠀⣭⣿⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣠⣄⣀⣀⠀⢀⠀⠀⠏⠿⢿⠿⠛⠛⠿⣿⣿⣿⣷⣿⣿⣿⣿⢷⡴⠤⠀⠀⠀⡀
⣤⡄⠀⠀⣿⡇⠀⠀⢩⣇⣀⣴⡖⠁⠀⠀⠀⠀⠀⠘⣀⣶⠶⠶⠶⠂⠀⠀⠀⠀⢻⣿⣿⣿⣿⡛⣉⣙⠛⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠁⠈⡁⠀⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⠶⠿⣿⠛⠛⢻⣿
⣍⣷⣶⣿⣿⣷⣶⣿⣿⣿⣿⣿⡗⠀⠀⠀⣰⣶⣾⣿⣿⣿⣧⣀⡀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⣿⡗⣿⣷⠀⠀⠀⣹⣿⣿⣀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡿⠿⠿⠿⠿⣟⣛⣻⣛⣋⣻⣻
⣿⣮⣿⣿⣿⣭⣤⣭⣏⣠⣄⣹⣿⠀⠄⢐⣿⣿⣿⣿⣿⣿⣿⣿⣟⡀⠀⠒⣒⠚⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣿⣿⣿⡿⣿⣧⣤⣽⣿⣿⣿⢤⡄⣤⣤⣤⣤⣷⣶⣶⣶⣶⣶⣶⡶⣿⣿⣿⠉⠉⢹⣿
⠟⠻⣿⡿⠿⠿⠄⢽⣯⣭⣽⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠏⠉⣩⠿⠟⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠀⠀⢠⣿⣿⣷⣾⣤⡀⠛⠋⢩⣿⠀⢤⣬⣽⣿⡿⣿⣿⣿⣿⣿⣿⣷⣧⡄⣽⣿⠀⢀⣾⣿
⠀⣀⠀⠀⣠⡄⠀⠀⠀⠀⠀⣿⣿⠀⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⠭⠁⠁⠀⠀⢻⠈⣿⣿⣿⣿⡿⠟⠛⠻⣿⣿⣿⡟⠀⢸⣿⣿⣿⣿⣿⣿⣿⣧⠚⠻⢾⣿⡀⠀⢉⣿⣿⠒⠀⣸⣿⣿⣿⣿⣿⡇⠛⣿⣿⡶⡾⣿⣿
⢿⡟⣿⣶⡿⢿⣿⠛⡟⢛⣻⣿⣿⣤⣷⣾⣿⣿⣿⣿⣿⣿⠛⠁⠀⠀⠀⠀⠀⠈⠀⣿⢟⣿⣥⠀⠀⠀⢀⣴⣿⣿⠇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠈⠁⠈⠀⢿⣿⠀⢸⠿⠛⠉⠻⢿⣿⡷⠶⠶⣿⠶⠿⣿⣿
⡙⣛⣻⣽⣷⠊⣭⣍⡉⠉⢛⣻⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⠁⠀⠼⣿⣿⣿⡿⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠏⣿⣴⣿⣿⣿⣦⣤⣼⣿⡇⣤⣄⣼⠀⠁⣿⣿
⡧⢰⣿⡟⢿⣷⣿⣿⡿⠿⠿⠿⢣⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣶⣼⣦⢿⣿⣿⡇⠀⠀⠸⣿⣿⣿⣿⣿⣿⢿⡄⠀⠀⠀⠀⠀⠀⢀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢛⣻⣿⣦⢸⣿⣿
⣷⠄⣿⣿⣦⣽⡷⠀⢠⡄⠀⠀⣸⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⢀⣤⣼⣾⣿⣿⠃⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣹⣿⣿⣼⣿⣿
⣿⣶⣾⣿⣿⣿⣷⡆⣨⠁⠃⠐⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⣿⣷⣛⢸⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣯⣿⠟⠋⢹⣛⣿
⣿⣿⣿⣿⡿⢷⣿⣇⠉⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡏⢿⣿⠙⣼⣿⣿⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠘⣿⣿⣿⠿⣿⠿⠿⣿⠏⢁⠙⡿⠀⠀⣹⣿⣿
⣿⣿⣿⣿⣷⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣯⣾⣻⢿⣸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠹⣿⣇⠀⠀⠀⠀⣀⢀⣠⣤⣀⣠⣤⣽⣿⣿
⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⢹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠻⣿⣷⣤⠀⣿⠛⠟⠙⠈⠉⣽⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⢻⣿⢿⣿⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣯⣉⣽⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⢸⣽⡀⠀⠺⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠉⢿⡿⠿⠿⢿⠿⠿⠿⠿⠿⢿
⠟⠛⠻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡟⣠⢰⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣿⠿⣿⣶⣶⣶⣿⣿
⠀⠀⠀⠰⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡌⢹⣿⣯⣴⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠀⠙⠛⠻⠿⠿⠿
⠀⠀⣰⡗⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣁⡉⠛⠋⣉⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⡤⣶
⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠘⣿⣿⣶⣏⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⢰⣿⡿⣿⡛⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⢶⣶⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⡇⢙⣽⣟⢢⠿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠶⠶⠲⣶⠒⠒⠒⠒⠒⠒⠒⠂⠒⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣇⣿⣿⣿⣼⣶⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⢾⡷⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⠇⣿⣿⣿⣿⣷⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠿⠷⠿⣿⠳⠓⠒⣿⠒⠒⠒⠒⠒⠒⠒⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⣿⣷⣾⠿⢿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣤⣿⣽⣿⣿⣯⣿⣿⣿⣿⣿⣧⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⣤⣤⣤⣿⣤⣤⣤⣤⣤⣤⣄⣠⣤
⠟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠙⠛⠛⠛⠛⠛⠛⠟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠛⠛⠛⠉⠉⠉⠉⠋⠉⠉⠋⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿
⢶⣸⣻⣿⣛⣛⢿⣿⣿⣛⣿⣿⣟⣽⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣉⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣟⢻⣿⣿⣿⣟⣻⣿⣿⣆⣻⡛⣿⠠⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⡿⠍⣷⠶⠀⠀⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣭⣾⣿⣿⣿⣿⣿⣷⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⠉⠉⠀⠀⠀⢸⣿⡿⠶⠢⠀⠀⠀⠀⠀⡀⣀⠀⠀⠀⢀⣀⣀⣀⡀⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⠁⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⣀⠀⠀⠀⠀⢀⠀⣀⣀⣀⣠⣀
⠀⠀⠀⠀⠂⠒⠶⣶⡿⣿⣧⣤⠀⠄⠀⠀⠀⠉⢩⡍⠀⢚⣿⣿⣷⣷⣉⣀⡄⡿⢙⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⠶⠦⢶⠄⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠛⢻⣿⣿⣿⣿⣿⣿⡿⠿⢿⢴⣶⠁⠀⠀⠶⣶⡷⣶⣿⣾⣿⣿⣿⢿⣿⢳⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠛⠀⢠⣼⣤⣀⠀⠀⠀⠀⠀⢀⣠⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠁⠛⠛⠣⢤⣿⢀⡛⢰⠀⠀⣼⣽⣯⣿⣿⣿⠛⠿⠋⣀⡔⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣶⡄⠀⠐⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⢯⠹⠟⠋⠉⠉⠉
⠛⠛⠂⠀⢒⠂⠐⣿⠐⢲⣄⠈⠀⣽⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠏⠿⠿⠟⠛⢛⠿⢿⣿⣿⣿⣿⣿⣿⡿⢳⠤⠄⠀⠀⠀⠀
⣤⡄⠀⠀⣯⠏⠁⠀⢸⣇⣁⣰⡆⠁⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠧⠤⠄⠀⠀⠈⣿⣿⣿⣿⡿⠛⠛⠻⢿⣿⣿⣿⣿⣿⠿⢻⣿⣿⣿⣿⣿⣿⡿⣽⣿⡷⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣶⡾⣿⠛⠛⢻⣿
⡍⣼⣶⣿⣿⣷⣶⣷⣾⣿⣿⣿⡗⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⣿⣿⣿⣿⣿⣿⠃⣹⣿⣿⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⡿⠿⠿⢿⣿⣻⣛⡛⣻⣻
⡿⣷⣿⣿⣿⣏⣀⣙⣉⣉⣉⣹⣿⠀⠀⢀⣿⣿⣿⣿⣿⣿⡿⣻⣓⡀⢀⡒⠈⠉⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠶⣿⡷⣿⣿⣿⣿⣿⣿⣧⣼⣿⣿⣿⢤⡄⣤⣤⣤⣤⣾⣧⣤⣶⣶⢶⣶⡶⣿⣿⣿⠙⠉⢻⢿
⠷⠿⣿⡿⢿⢿⠄⢽⣯⣭⣽⣿⣿⠀⣢⣾⣿⣿⣿⣿⣿⠯⠚⢿⠏⠑⡸⠿⠬⢆⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⡋⢩⣿⠀⢤⣭⣽⣿⡿⣿⣿⣿⣿⣿⣿⣯⣧⡄⣻⣿⠀⠀⣾⣿
⠀⡀⠀⠀⣠⡀⠀⠀⠀⠀⠀⣿⠿⣴⣿⣿⣿⣿⣿⣿⠟⢸⠛⠛⠓⠀⠀⠀⠐⡁⢸⣿⣿⣿⣿⠛⠛⠛⢻⣿⣿⣿⡇⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⡌⢻⡀⠀⣙⣿⣿⠒⠀⣸⣿⣿⣿⣿⣿⡏⡛⣿⣿⣶⣶⣿⣿
⢿⠟⣶⣶⡿⢿⣷⠿⠿⠿⢿⡿⢠⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣻⣿⣤⠀⠀⢀⣤⣶⣿⡿⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣷⠈⠁⠀⠀⢿⣿⠀⢰⠿⠛⠙⠻⢿⣿⡧⣶⠶⣿⠶⡶⣿⣿
⠛⠛⣻⣿⣷⠚⣍⣙⣛⠛⠛⠁⠸⢿⠿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡟⠀⠒⠘⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⠀⠀⠀⠀⡇⣿⣴⣿⣶⣾⣦⣄⣼⣿⡇⣤⣄⣼⠀⠀⣿⣿
⡦⢠⣿⡟⢿⣷⣿⣿⡿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡷⠧⠼⣄⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠉⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠛⣻⣿⣦⢸⣿⣿
⣧⠄⣿⣿⣦⣽⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⢀⢠⣠⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⣻⣿⣿⣾⣿⣿
⣿⣶⣾⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⡿⣟⣛⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⡿⢿⣿⣿⣿⣯⣿⡟⠛⢹⣛⣿
⣿⣿⣿⣿⣿⣷⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡄⢲⣌⢹⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡿⢿⣿⡏⢁⠙⡿⠀⠀⣸⣿⣿
⣿⣿⣿⣿⣷⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣴⣿⣜⢻⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⣀⣀⣠⣽⣿⣿
⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⢼⣿⣿⣿⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⣿⠟⠟⠋⠈⠈⢽⣿⣿⣿⣿
⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣻⣿⡿⣿⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠉⣭⣻⣯⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢻⡿⠿⠿⢿⡿⠿⠿⣿⣿⣿
⠿⠟⠿⣿⣿⣿⣦⣤⣄⣀⣀⡀⣠⣶⢿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣏⣠⢾⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣴⣶⡖⠀⠀⢸⣷⣶⣶⠾⣿⣶⣶⣶⣾⣿
⠀⠀⠀⠠⠄⠀⠀⠖⠻⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣇⡋⣿⣿⣧⢾⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠛⠟⠉⠀⠀⠉⠉⠛⠛⠀⠻⠿⠿⠿⠿⣿
⠀⡀⢰⡆⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⣿⣿⣿⣿⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡤⣴
⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⡇⢿⣿⣿⣯⣸⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⢡⢸⣿⡻⢿⣹⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣦⣴⣶⣶⣶⣶⣶⣶⠶⠶⠶⠶⢶⣶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡘⣺⣾⣷⣾⣹⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠶⠶⠶⣶⠶⠒⠒⠔⠒⠂⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⠇⣿⣿⣿⣾⢿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⢾⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣼⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠷⠶⠾⣿⠶⠶⠶⣿⠖⠒⠒⠒⠒⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⢸⣿⣷⣿⣽⣾⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣄⣀⣤⣤⣄⣤⣤⣤⣤⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣥⣬⣵⣽⣾⣽⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣤⣤⣤⣤⣤⣿⣤⣤⣤⣿⣤⣠⣤⣀⣤⣤⣀⣀⣤
⠿⢽⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠉⠛⠛⠛⠛⠛⠛⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠛⠛⠛⠛⠋⠉⠛⠋⠉⠙⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿
⢶⣰⣿⣿⣋⡛⢿⣿⣟⣻⣿⣿⣓⣬⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣟⢻⣿⣿⠿⢛⢻⣿⣿⣖⣸⠛⣿⠀⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣶⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⣈⣁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣿⡃⢀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠿⢛⣉⣹⣏⣂⣀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠐⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠋⠛⠀⠀⠀⢺⣿⡿⠾⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀⣀⠀⣀⣀⣀⢀⠀⠀⠀⣀⡀⡀⡀⣤⣄
⠀⠀⠀⠀⠀⠐⢾⣶⣿⣿⣧⣤⠠⠄⠀⠀⠀⠛⢻⡏⠀⢻⢻⣿⣯⣎⣋⣈⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠇⠤⠦⢶⡄⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠛⢻⣿⣿⣿⣿⣿⣷⡿⠿⣿⢠⣶⠀⠀⠀⠴⣾⡧⣶⣿⣾⣿⣿⣿⣿⣿⣇⣹⣿⣿⣿⣿⢿⣿⠿⢛⣿⣿⣿⣿⡏⠀⠁⣠⣤⣄⡈⠀⠀⠀⠀⠀⠀⠀⢀⣴⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠈⠈⠉⠛⠛⠣⣤⣿⢊⡛⢤⠀⠀⢸⣽⣯⣿⣿⣿⠟⠿⠏⠀⡍⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣾⣿⣿⣿⣿⣷⣶⡀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⠹⠟⠛⠉⠉⠉
⠛⠓⠂⠀⠒⠂⠀⣶⠐⢢⣤⠈⠀⣹⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠁⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠿⠿⢿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⡿⢇⡐⠄⠀⠀⠀⠀
⣤⣄⠠⢀⣿⡏⠀⠀⢨⣏⣁⣰⡆⠉⠀⠀⢸⣿⣿⣿⣿⣿⣿⣯⡧⠤⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⣽⣷⡶⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣷⣶⠾⣿⠶⠶⢺⣿
⣏⡿⣷⣿⣿⣷⣶⣷⣾⣿⣿⣿⡗⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⣿⣿⣿⣿⣛⣿⣿⣻⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⡟⠀⠀⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⠶⢿⣿⠛⠛⣻⣻
⣿⣯⣿⣿⣿⣿⣀⣛⣋⣉⣉⣹⣿⠀⠄⢐⣿⣿⣿⣿⣿⣿⣿⣻⣒⡀⢀⡒⢂⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢠⣿⣿⣿⣿⣿⣿⣿⣆⣀⣽⣿⣿⣿⣤⡄⣤⣤⣤⣤⣾⣧⣤⣤⣤⣶⡶⣶⣿⣿⣿⠙⠛⢻⣿
⠷⠷⣿⣿⣿⣿⠉⢽⣯⣽⣽⣿⣿⠀⣆⣾⣿⣿⣿⣿⣿⢟⠒⣾⠋⠉⣘⠿⢼⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣹⣿⣿⣿⣿⣿⣏⠛⠛⢻⣿⠀⣤⣉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣷⣧⡀⠻⣿⠀⠀⣾⣿
⠀⡀⠀⠀⢀⡀⠀⠀⠀⠄⠉⣽⡿⣰⣿⣿⣿⣿⣿⣿⠟⢒⠛⠓⠒⠂⠀⠀⣠⠘⣿⣿⣿⣿⡿⠶⠿⢿⣿⣿⣿⣿⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣷⡀⠺⣿⠀⠀⣙⣿⣿⠒⠀⣼⣿⣿⣿⣿⣿⡇⢛⣿⣿⣤⣴⣿⣿
⢿⡟⣶⣶⡿⢿⣷⠶⠿⠿⢿⡿⢀⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣋⠀⠀⠀⢀⣭⣽⣿⡇⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⡇⠀⠈⠁⠈⠀⣿⣿⠀⢸⠿⠟⠛⠻⣿⣿⣧⣶⣶⣿⡶⣶⣿⣿
⠛⠛⣿⣿⣧⡞⣋⣙⡛⠛⠟⠀⠘⠿⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣾⣿⣿⠂⠠⡰⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠈⠇⣿⣴⣿⣿⣿⣦⣠⣬⣿⡧⣀⣀⣾⠀⠁⣿⣿
⣦⢨⣿⣟⢿⣧⣿⣿⡿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣤⣰⣄⢹⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠉⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠛⢻⣿⣶⢸⣿⣿
⣧⠀⣿⣿⣦⣹⣏⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡏⠀⢀⣘⣸⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣼⣿⣿
⣿⣦⣾⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣇⡶⣖⠃⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⡟⠛⢻⣛⣿
⣿⣿⣿⣿⣿⣷⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡏⠩⣙⠋⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⡟⢉⠙⡿⠀⠀⣸⣿⣿
⣿⣿⣿⣿⣷⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣯⢸⣿⡔⣄⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⢀⣠⢄⣀⣀⣀⣽⣿⣿
⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣯⣮⣿⡴⣇⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⠀⣿⠟⠟⠛⠂⠀⢽⣿⣿⣿⣿
⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⠟⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣽⠋⣭⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣇⡀⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠋⠉⢿⣿⠿⢿⣿⣿⡿⢿⣿⣿⣿
⠿⠿⠿⣿⣿⣷⣦⣄⣀⡀⠀⠀⢠⡴⢿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣿⡶⠀⠀⢺⣶⣶⣶⢶⣷⣶⣶⣶⣾⣿
⠀⠀⠀⠨⠍⠀⠀⠌⠹⠯⠇⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣽⡏⣿⣿⣷⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠿⠿⠟⠉⠀⠀⠈⠙⠻⠿⠈⠻⠿⠿⣿⡿⣿
⢀⡀⣰⡖⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⡏⢽⡿⣇⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣤⣶
⠉⠛⠉⠉⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠸⢷⣿⣷⣟⣻⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡐⢸⣟⢻⣏⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣴⣶⣴⣦⣤⣤⣤⣤⣤⣤⣤⣤⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⠛⣡⣿⣆⣸⢻⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠶⠶⠶⣶⠶⠶⠶⠤⠐⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⣿⣿⣯⡽⢾⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⢾⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣳⣿⣿⠿⠱⣾⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠶⠶⠾⣿⠶⠶⠶⣿⠶⠶⠒⠒⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⡏⣶⣿⣶⡴⢠⣸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣠⣥⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣧⣤⣥⣴⣮⣽⣿⣿⣿⣿⣿⣿⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣤⣤⣤⣤⣤⣿⣤⣤⣤⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀
⠹⢿⢿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⡟⡉⠉⠉⠛⠛⠛⠛⠛⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⠛⠛⠛⠋⠉⠙⠋⠙⠛⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢶⡸⢾⣿⣛⡻⢿⣿⣿⣛⣿⣿⣗⣤⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣟⢿⣿⣿⠿⠟⣻⣿⣿⡆⣸⡛⣿⠈⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠶⠶⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⡉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠚⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠶⠿⠋⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢁⣀⣀⣄⣀⣀⣀⣀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠃⠓⠀⠀⠀⢰⣶⡶⠶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⡀⣀⡀⡀⡀⣠⣠
⠀⠀⠀⠀⠄⠀⢶⣶⣿⣷⣦⣄⠀⡄⠀⠀⠀⠛⢻⡇⠀⢳⢿⣿⣏⣉⣩⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣶⣆⡀⠀⠤⡤⣤⡄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠛⢻⣷⣷⣿⣶⣿⣶⡾⠿⣿⢀⣶⠁⠀⠀⠤⠾⣦⣤⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⢿⠧⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣴⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠉⠈⠉⠛⠛⢣⣤⣼⠂⠻⢢⠀⠀⠮⠹⠇⡟⠛⠻⠻⠿⠇⠀⢻⣯⠍⠛⢿⣿⠟⠛⢛⣿⣿⣿⣿⠇⠀⠀⣐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠹⠟⠛⠋⠉⠛
⠒⠒⠂⠀⠒⠂⠐⣶⠐⢲⣄⠘⠈⣻⣿⠀⠀⠀⠂⢀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣶⣶⣾⣷⣷⣶⣷⣶⣿⣯⡷⠦⢶⣆⣠⡀⣀⡀⠀⠀⠀⠀⠹⠿⢿⡿⠛⠻⠟⢿⣿⣿⣿⣿⣿⣿⣿⠧⠀⠄⠀⠀⠀⠀
⣤⡄⠀⠀⣽⡂⠀⠀⢸⣏⣉⣐⡄⠉⠁⠀⠀⠀⣀⣹⣦⡤⠤⠤⠤⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣿⣿⣯⣍⡉⠉⠁⠀⣿⣷⡦⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣷⣶⡶⡿⠶⠶⢾⣿
⣏⣽⣷⣾⣿⣷⣴⣶⣾⣿⣿⣿⡗⠀⠀⢠⣶⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⠶⠾⣿⠛⠛⣻⣻
⣿⣟⣿⣿⣿⣯⣉⣛⣋⣉⣉⣹⣿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣐⡐⠐⣸⣿⣿⡟⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣀⣽⣿⣿⣿⣤⡀⣠⣄⣠⣤⣾⣯⣬⣤⣤⣤⡤⣴⣿⣿⣿⠛⠛⢻⣿
⠿⠿⣿⣿⣿⣽⠉⣽⣿⣙⣻⣿⣿⠀⡀⢹⣿⣿⣿⣿⣿⣿⣿⣟⠙⠃⠚⠖⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠈⣿⣿⣿⣿⣿⣿⣿⣿⣁⠈⠛⠋⢹⣿⠀⣀⣉⣛⣿⣿⣿⣿⣿⣿⣿⣾⣧⣇⡀⢸⣿⠀⠀⣺⣿
⠀⡀⠈⠀⢀⡀⠀⠈⠉⡉⠉⣿⣿⠀⡇⢸⣿⣿⣿⣿⣿⣿⣿⣷⣶⡂⣒⣒⡉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢿⣿⣿⣿⣿⣿⣿⡉⠁⣀⣴⠶⢼⣿⠀⠀⣛⣿⣿⠆⠀⣸⣿⣿⣿⣿⣿⡏⠷⣾⣿⣤⣤⣿⣿
⣷⡟⣶⣶⡾⢿⣶⠶⡶⠿⢶⣿⣿⣤⣷⣿⣿⣿⣿⣿⣿⣿⡿⠞⠉⠁⠣⠀⠀⣿⣿⣧⡄⠁⠿⠿⣿⣿⣿⣿⣿⠃⠀⠘⣿⣿⣿⣿⣿⣿⣿⠂⠉⠁⠁⠈⠿⠃⠈⠉⢿⣿⠀⢸⡿⠟⠛⠻⣿⣿⣧⣶⣶⣿⡶⣶⣿⣿
⠹⠻⣿⣿⣷⡞⣛⣛⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣇⠀⠀⠀⢈⣭⣿⣿⡿⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠐⠛⣿⣤⣿⣷⣶⣦⣀⣸⣿⡷⣀⣀⣾⠀⠀⣿⣿
⣇⢠⣿⣿⢿⣧⣿⣿⡷⢶⣾⣿⢿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠃⠂⠴⣿⣿⣿⣿⡇⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠛⢿⣿⣦⢰⣿⣿
⣧⠀⣿⣿⣦⣹⡏⠉⢁⡀⠀⠀⢸⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣧⣤⣰⡆⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣻⣿⣿⣼⣿⣿
⣿⣦⣿⣿⣿⣿⣧⡄⣈⣧⠶⠀⠘⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⡏⠀⢀⣙⢼⣿⣿⣿⠇⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣴⣾⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⡟⠛⢻⣿⣿
⣿⣿⣿⣿⣿⣷⣿⣇⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⣶⣤⠉⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⡿⠇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠙⡿⠀⠀⣸⣿⣿
⣿⣿⣿⣿⣷⣾⣿⡿⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠻⣁⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⡏⠀⠈⠀⠀⠈⠀⣨⣄⡀⢀⣀⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡿⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣧⣻⣯⠶⣸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣤⣤⠀⣻⠿⠛⠛⠀⠈⢹⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣾⡾⢶⣈⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣾⣿⣷⣿⣾⣷⣾⣾⣿⣿⣿⣿
⣿⠛⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡜⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⠋⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⠿⠿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡟⣿⣿⣏⡥⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡶⠀⠀⢰⣷⣶⣶⢶⣶⣶⣶⣶⣶⣶
⠀⠀⠀⠩⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣇⣿⣿⣿⣷⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠁⠀⠐⠛⠙⠻⠿⠀⠻⠿⠿⢿⠿⢿
⠀⠀⢰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡏⣿⣿⣿⣯⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡤⣶
⠘⠛⠋⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⣘⣿⢿⣏⣻⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⢺⣿⣿⣾⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿⡧⣿⣟⡟⣿⢿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠶⠶⠶⣦⠤⠤⠤⠤⠤⠤⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⢡⣾⣻⣧⣈⠿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣦⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣇⣼⣿⣿⣿⢻⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠶⠶⠶⣿⠶⠶⠶⣿⠶⠶⠤⠤⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣇⣽⣧⣦⡯⢄⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣿⣄⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣾⣿⣿⣿⣿⣿⣬⣭⣤⣶⣯⣿⣿⣿⣿⣿⣯⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣄⣄⣤⣤⣀⣀⣀⣠⣿⣤⣤⣤⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀
⠻⢽⢿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠛⠛⠛⠛⠛⠛⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿
⢶⡸⠾⣿⣛⡛⢿⣿⣿⣛⣿⣿⣿⣤⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠿⣿⣿⢿⠟⢻⣿⣿⡇⣰⡛⣿⠈⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠶⠶⠾⡾⠶⠿⢿⣷⣶⡶⠾⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⣉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⢤⣤⣄⣄⡀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠃⣀⢈⣥⣀⣐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠓⠚⠀⠀⠀⢰⣶⡶⠶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣄⢀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠠⡄⠀⠀⠀⠀⠀⠀⠀⡀⠀⡀⢀⡀⠀⠀⢀⣀⢀⡀⡀⣀⣤⣀
⠀⠀⠀⠀⠄⠤⢶⣶⣿⣷⣦⣔⢀⡄⠀⠀⠀⠛⢻⡃⠀⢾⢻⣿⣿⡆⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠤⡤⣤⡄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣽⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠒⢾⣷⣶⣶⣶⣿⣶⡾⠿⣿⢠⣶⠀⠀⠀⠤⣾⢧⣤⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⢀⣔⣤⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠉⠈⠉⠿⠛⢣⣄⣿⡂⠻⢠⠀⠀⠾⠹⠧⡟⠛⠻⠿⠏⣉⣹⣿⡻⣿⡿⠟⣻⣿⣿⣿⣿⣿⣿⠿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣟⠹⠟⠛⠛⠋⠛
⠒⠒⠂⠀⠒⠂⠀⣶⠐⢒⣄⠈⠈⣛⣾⠂⠀⠀⠂⢀⠀⠀⠀⠀⠰⢧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⢹⣓⡄⠀⠤⢶⡆⣀⡀⣀⡀⠀⠀⠀⠀⠟⠻⢿⡿⠻⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⠯⠀⢄⠀⠀⠀⠀
⣤⡄⠀⡀⣿⡂⠀⠀⢸⣎⠉⢀⡄⠉⠉⠀⠀⠀⠀⠹⠀⢤⣤⠤⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣾⣿⣿⣿⠀⠀⠉⠉⠉⠉⠉⠁⠀⣿⣷⡦⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣷⣶⡶⣿⠶⠶⢶⣿
⣏⣽⣶⣿⣿⣷⣤⣶⣾⣿⣿⣿⡷⠀⡀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠳⠶⠶⣶⡶⣶⣶⠀⠀⠀⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⠶⠾⣿⠛⠛⢻⣻
⣿⣷⣿⣿⣿⣿⣉⣛⣋⣉⣉⣹⣿⠀⠂⠀⠆⠄⠄⠠⢶⡆⠀⣤⠀⠀⣾⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠁⢀⣶⣶⣿⣷⣿⣿⣶⣆⣀⣹⣿⣿⣿⣠⡀⣀⣀⣀⣄⣾⣧⣭⣤⣤⣤⡤⣴⣿⣿⣿⠛⠛⢻⣿
⠿⠿⣿⣿⣿⣿⠉⣹⣟⣛⣻⣿⣿⠀⠀⢸⢡⠐⠃⠘⣓⣒⣛⣙⠘⠃⠻⣿⣷⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡶⠀⢀⣄⣬⣯⣤⣀⣽⣁⠈⠻⠋⢻⣿⠀⣀⣉⣛⣿⣿⣿⣿⣿⣿⣿⣽⣧⣧⡄⣸⣿⠀⠀⣸⣿
⠀⠀⠉⠀⢀⡀⠀⠈⠉⠉⠉⣿⣿⠀⡆⢰⢒⣼⣛⣛⣻⣖⣒⣒⣒⠀⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠃⠀⠀⠀⠀⠀⠀⠀⠈⠀⣠⣴⠶⢼⣿⠀⠀⢙⣿⣿⠇⠀⣸⣿⣿⣿⣿⣿⡏⠷⣿⣿⣤⣴⣿⣿
⣶⡿⣶⣦⡾⢿⣶⠶⠶⠿⢶⣿⣿⣤⣷⣼⡶⠸⠇⠀⢻⣿⣋⣿⡃⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠐⠛⢧⣾⣷⣾⣿⣿⣿⣶⣸⣿⠃⠈⠀⢿⣿⠀⢈⡿⠟⠛⠻⣿⣿⣧⣦⣴⣿⡦⣶⣿⣿
⠹⠷⣿⣿⣧⡞⣛⡛⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⡶⣿⡿⢿⠃⠉⠀⠀⠀⠀⢨⣿⣿⣿⡛⠛⢻⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⠄⠀⠹⢿⣿⣿⡆⠀⠐⡎⣿⣤⣾⣷⣾⣦⡀⢸⣿⡷⣀⣀⣾⠀⠁⣿⣿
⣆⢨⣿⣿⢿⣧⣿⣿⡷⢶⣾⣿⣷⣽⣿⣿⠇⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠟⣋⠁⠀⠀⠉⣹⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠹⡇⡀⢀⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠛⢿⣿⣤⢸⣿⣿
⣇⠀⣿⣿⣦⣹⡏⠉⢁⡀⠀⠀⠀⣹⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠇⠄⡠⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣼⣿⣿
⣿⣤⣿⣿⣿⣿⣧⡄⣈⡃⣾⣈⠀⣯⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣤⢠⡄⢿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⡟⠛⢻⣟⣿
⣿⣿⣿⣿⣿⣷⣿⣇⣿⣿⣟⡌⠹⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣟⠉⡉⠹⣸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢉⠙⡿⠀⠀⣸⣿⣿
⣿⣿⣿⣿⣷⣾⣿⡿⠹⠿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⢷⣼⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⡏⠀⠈⠀⠀⠈⠀⣨⠄⠀⢀⣀⣻⣿⣿
⣿⣿⣿⣿⣿⣿⡿⠛⠂⣺⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣇⣿⣿⡷⣽⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣤⣄⠀⣻⠟⠛⠛⡀⠈⢹⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣧⣤⣤⣼⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⣤⣸⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣷⣶⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣾⣿⣷⣿⣾⣷⣾⣿⣿⣿⣿⣿
⣟⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⡿⠋⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⠿⠿⣿⣿⣿⣿⣯⣽⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣿⣯⡿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡶⠀⠀⢰⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶
⡀⠀⠀⠩⠉⠁⠀⣭⠍⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡟⠋⢷⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠿⠿⠃⠀⠐⠛⠙⠻⠿⠈⠻⡿⠿⣿⣿⣿
⠀⠀⢰⡖⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣤⣴
⠚⠛⠋⠁⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⡇⠀⠀⠀⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣦⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⡟⠉⠁⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠩⣸⣿⣿⣿⣿⠙⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠶⠶⣤⠤⠤⠤⡤⠤⠤⠄⠀⠀⠀⠀⠀⠀
⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣿⠁⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠛⣿⣿⣿⣧⠀⠉⢿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣦⠤⣖⣒⡴⢶⣶⣶⣆⣀⡀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠘⠁⣀⣀⡀⠀⠀⠸⢟⣛⣛⠂⠀⠀⠀⢀⣀⣛⡿⢿⣿⣀⠀⠈⠉⠉⢀⣀⣀⣀⡀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠶⢖⠶⡿⡒⠶⢆⡛⠆⣀⣀⣀⣀⡀⠀⡀⠀
⣴⡿⠛⠻⢿⡆⢀⣾⠟⠛⢿⣷⡀⢠⣾⠿⠛⢿⣷⡀⢰⣿⠟⠛⢿⣧⠀⣰⣿⣟⣻⣿⣦⠀⣼⣿⠟⠻⣿⡆⢉⣿⡇⠀⠀⠀⣿⡟⠛⠛⠛⠀⠀⠀⣿⡇⢰⣿⠀⢸⡇⠀⣿⡇⢸⣿⡄⢸⣿⠘⠛⢿⣿⠛⠋⢸⣿⠀
⣿⡇⠀⢶⣶⣦⢸⣿⢀⣀⡀⣿⡧⢿⣿⢀⣀⣈⣿⡇⣿⡇⢀⣀⣸⣿⡇⣿⡇⣿⣿⣿⣿⡄⣿⡇⡄⣶⣾⣧⠙⣿⡇⣀⣀⡀⣿⣿⣶⡶⠆⣀⣀⡀⣿⡇⢸⣿⠀⣿⣷⠀⣿⡇⢸⣿⡇⢸⣿⢀⣀⢸⣿⢀⣀⢸⡿⢀
⠻⣷⣥⣤⣾⡿⡘⢿⣦⣭⣿⡿⠃⠘⢿⣦⣭⣼⡿⠀⠹⣿⣮⣭⣿⡿⠀⠹⣿⣮⣽⣿⠟⣀⠿⣿⣬⣥⣿⡿⠀⣿⣧⣭⣭⡅⣿⣧⣬⣭⣍⠉⠙⠃⣿⡇⢸⣿⠀⢺⡷⠘⣿⡇⢸⣿⠇⢸⣿⢸⣿⢸⣿⢸⣿⢣⣧⠘
⢤⡠⢭⣭⣴⡶⢿⣷⡎⠉⠁⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠉⠉⠀⠀⠀⢰⣤⣭⣭⣄⠰⠻⢁⣠⣩⣭⣴⣾⣷⠈⠉⠉⠉⠀⠈⠉⠉⠉⠁⠀⠀⠀⠉⠀⠀⠁⠀⠈⠁⢠⣬⣴⣷⣭⣾⡆⢥⣾⣿⡌⢡⠘⣟⠀⣤⣾
⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣷⣶⡶⠶⠶⠶⠶⠶⢶⠶⠶⠶⠶⠶⢶⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣶⣾⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠊⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠆⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠖⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⣬⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠃⠒⠀⠀⠀⢰⣶⡶⠶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠦⠄⠄⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀
⠀⠀⠀⠀⠄⠠⢶⣦⣿⣷⣦⣄⠀⡄⠀⠀⠀⠉⢋⡃⠀⠀⢸⣿⡥⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠠⡤⣤⡄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣭⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿
⠛⠒⢾⣶⣶⣶⣶⣶⣶⡾⡿⡯⠀⣶⠀⠀⠀⠤⠶⠤⣤⣴⣼⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣶⣴⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠁⠈⠉⠿⠿⠃⣀⣼⠀⠻⢀⠀⠀⠨⠹⠇⡟⠛⠛⣠⣳⣞⣤⣽⣿⣦⣚⣿⣯⣟⣻⣿⡿⠀⠋⠻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠛⠛⢛⣟⡹⡍⡑⠽⡉⣿⡏⠝⣑⠸⠟⠛⠛⠉⠛
⠒⠒⠂⠀⠒⠂⠀⣶⠀⢀⣀⠉⠀⣛⣾⠀⠀⠀⠀⢀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣠⣤⣴⣶⡄⠀⠶⠤⢶⡆⣀⡀⠀⡀⠀⠀⠀⠀⠆⠹⠹⠟⠘⠄⠱⢷⣿⣞⣡⣨⣑⣿⣷⠁⠀⠀⠀⠀⠀⠀
⣀⡀⠀⠀⢫⠀⠀⠀⢠⡎⠉⢀⡄⠉⠁⠀⠀⠀⠀⠹⠀⢤⢤⠤⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⣽⣷⡦⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣷⣶⣶⡶⠶⠶⢶⢷
⡋⢡⣦⣶⣿⣶⣤⣦⣼⣿⣿⣿⡃⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠰⠶⠶⣶⡶⢶⣶⠀⠀⠀⢹⣿⡷⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠶⠶⢷⠒⠓⢺⢻
⣡⠂⣯⣹⣿⣍⣉⡛⡋⢉⠉⢩⣷⠀⠀⠀⠀⠄⠄⠀⠆⠀⠀⠀⠀⣿⣯⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣀⣰⣆⢀⣶⣖⣿⣷⣿⣿⣶⣆⣀⣸⣿⣽⣶⣀⡀⣀⣀⣀⣀⣴⣧⣭⣤⣤⣤⡤⡤⣾⣿⣿⠛⠛⢻⢿
⠿⠴⣽⣯⣯⣭⠉⢹⣟⣛⣛⣿⣿⠀⠀⠸⠁⠐⠂⠈⢀⣀⠘⢛⠈⠻⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⡤⠀⢀⣄⣬⣇⣀⣀⣩⣉⠈⠟⠛⢛⣿⠈⠀⣉⣛⣿⣟⣿⣿⣿⣷⢸⣸⣇⣇⠀⠈⣿⠀⠀⣸⣿
⠀⠀⠉⠀⢀⡀⠀⠀⠉⠉⠉⣽⣿⠀⡀⠀⠀⣼⣛⣛⣓⣒⡂⣒⡂⠀⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣀⣴⠶⢼⣿⠀⠀⠛⣝⣿⠅⠀⢸⣿⣿⣾⣽⣧⡇⠆⣼⣿⣤⣤⣿⣿
⢖⠛⣶⣤⡾⢷⡶⠶⠶⠶⢶⣾⣿⣤⣧⣼⡖⠀⠂⠀⠪⢯⡉⠽⠁⠀⠀⠀⣴⣬⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠐⠛⠧⢾⣗⣾⣿⣿⣿⣶⣸⣿⠀⠀⠀⢿⣿⠀⠀⠿⠟⠛⠹⢸⣿⣧⣤⣤⣿⡤⣶⣿⣿
⠸⠶⢿⣛⣧⡜⣛⡛⠛⠛⠿⢿⣿⣿⣿⣿⣿⢿⡶⠿⠿⠛⠃⠀⠀⠀⠀⠀⣼⣿⣷⣾⡿⠿⠿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠐⠀⠙⠻⠿⣿⡂⠀⠀⠂⣿⣤⣾⣶⣖⣤⡀⠈⣧⡧⣀⠀⣸⠀⠀⣿⣿
⡆⢁⣿⡟⢛⣧⣿⣿⡷⢶⢾⡿⢥⣸⣿⡿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣋⣥⡄⠀⠀⢀⣴⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠃⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣾⣿⡇⠋⢱⣿⣄⢰⣿⣿
⣅⠀⣽⣿⣄⣹⡏⠉⢁⡀⠀⠀⠀⣸⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠇⠀⠀⢿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣚⢻⣿⣿⣸⣿⣿
⣷⣤⣾⣿⣿⣿⣧⡄⢈⠃⢶⣀⠀⡎⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⣻⡟⠛⢻⡛⣿
⣿⣿⣿⣿⣿⣷⣿⣇⢿⣿⣟⡄⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⢠⡘⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⡟⠉⠙⡿⠀⠀⣰⣾⣿
⣿⣿⣿⣿⣧⣾⣿⡟⠙⠿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⢉⡀⠁⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⡋⠀⠀⠀⠀⠈⠀⣠⠀⠀⢀⣀⣹⣿⣿
⣿⣿⣿⣿⣿⣿⡿⠓⠀⣺⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠰⠯⠅⢠⣿⣿⣿⣿⠃⣴⣾⣶⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣠⣀⠀⣳⠚⠚⠛⠀⠀⢸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣧⣤⣤⣼⣴⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⡀⠈⠁⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⣿⣶⣿⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿
⣟⠛⣿⣻⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⣳⣶⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⡿⠋⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⠾⠿⣿⣿⣿⣿⣤⣭⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠚⠋⢇⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡶⠀⠀⢰⣦⣴⣶⢶⣶⣤⣴⣶⣶⣶
⠀⠀⠀⠩⠉⠁⠀⡬⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣷⣶⣿⣇⠀⠀⣿⣿⣿⡀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣶⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠿⠁⠀⠀⠚⠙⠻⠿⠀⠻⠿⠾⣿⣿⣿
⠀⠀⢰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣦⢰⣿⣿⣿⠂⠶⢀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠤
⠀⠐⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⠀⠀⠀⠐⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⣿⣿⣿⣿⠿⠟⠛⠁⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⢻⣿⣿⣿⠀⠀⠀⠀⠈⠛⠿⠿⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⣤⠤⠤⠤⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⠄⣒⣒⡤⢤⣤⣤⣀⣀⡀⠀⠀⠀⠀⣘⣛⡛⠿⠋⠙⢛⣛⣛⡛⠛⢹⣿⣿⣿⣛⠃⠀⠀⠀⠀⣈⣛⠿⢿⣧⣀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⢤⢖⠲⡿⡂⠢⠄⡛⠄⣀⣀⣀⣀⡀⠀⡀⠀
⣴⡿⠛⠻⢿⡆⢀⣾⠟⠛⢿⣷⡀⢠⣾⠿⠛⢿⣷⡀⢰⣿⠟⠛⢿⣧⠈⣹⣿⣟⣻⣿⣦⠀⣼⣿⠟⣻⣿⡆⢉⣿⡇⠀⠀⠀⣿⡟⠛⠛⠋⠀⠀⠀⣿⡇⢰⣿⠀⢸⡇⠀⣿⡇⢸⣿⡀⢸⣿⠘⠛⢿⣿⠛⠋⢸⣿⠀
⣿⡇⠀⢶⣶⣦⢸⣿⢀⣀⡀⣿⡇⢿⣿⢀⣀⣀⣿⡇⣿⣇⢀⣀⣸⣿⡇⣿⡇⣿⣿⣸⣿⡆⣿⡇⡀⣶⣾⣧⠙⣿⡇⣠⣀⡀⣿⣷⠶⡶⠆⣀⣀⡀⣿⡇⢸⣿⠀⢾⡷⠀⣿⡇⢸⣿⡇⢸⣿⢀⣀⢸⣿⢀⣀⠸⡿⢀
⠻⣷⣥⣤⣾⡿⡘⢿⣦⣭⣿⡿⠁⠘⢿⣦⣭⣾⡿⠀⠸⣿⣮⣭⣿⡟⢠⠹⣿⣬⣽⣿⠟⣀⠻⣷⣬⣥⣿⡿⠀⣿⣧⣭⣭⡅⣿⣧⣬⣭⣍⠙⠛⠃⣿⡇⠸⣿⠀⢸⡷⠈⣿⡇⢸⣿⠃⢸⣿⢸⣿⢸⣿⢸⣿⢣⣧⠘
⢤⠠⠭⣭⣴⡲⠿⠷⠈⠉⠁⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠉⠉⠀⠀⠈⣿⣶⣯⣭⡄⠈⠀⠑⡀⣭⣭⣷⣾⣷⠈⠉⠉⠉⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠁⠀⠈⠁⠀⠬⣴⣷⣬⢾⠦⢡⣮⣿⠀⠡⠘⣗⠀⢠⣾
⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⠶⣶⠶⠶⠶⠶⠶⠶⠖⠲⠶⠶⠶⠶⠒⠒⠲⠶⣿⣾⣿⣿⣿⣷⣾⣿⣿⣾⣿⣷⣿⣶⣾⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠚⠙⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠒⠴⡿⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠓⠛⠀⠀⠀⢰⣶⡶⠶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢤⡂⠀⠀⡄⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠠⡄⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⡀⡀⠀⠀⠀⡀⡀⠀⠀⣀⣠⣄
⠀⠀⠀⠀⠄⠠⢶⣶⣿⣷⣦⣄⠀⡄⠀⠀⠀⠛⢻⠃⠀⢸⣿⣿⣧⣾⣿⣿⣿⣿⣿⣿⣿⣶⣾⣶⣤⣀⠠⠤⠤⠀⠀⠀⠀⠀⠠⡤⣤⡄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠟⠶⢾⣶⣶⣶⣶⣶⣶⣾⣿⡿⢄⣶⠁⠀⠀⠤⣶⠤⣤⣾⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⢀⣤⣠⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠉⠈⠉⠿⠿⢃⣀⣽⠄⠻⢤⠀⠀⠮⠹⠇⡟⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣟⣿⣿⣝⣏⣿⣿⣿⣻⣟⡟⣹⠹⠟⠛⠛⠙⠛
⠒⠒⠂⠀⠒⠂⠐⣶⠰⢂⣀⠙⠈⣛⣿⠀⠀⠀⠂⢀⠀⠀⠀⢄⡝⠻⢿⣿⡿⢿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣆⠀⠀⠀⠀⠴⠦⢶⡆⣀⡀⠀⡀⠀⠀⠀⠀⠇⠻⢿⡟⠛⠿⠿⣽⣯⣿⣞⣿⣯⣿⣿⠇⠀⠄⠀⠀⠀⠀
⣀⡀⠀⠀⣻⡂⠀⠀⢠⣎⠉⢰⡄⠋⠉⠀⠀⠀⠀⠹⠀⢤⣼⣦⣷⣶⣿⣿⣷⣭⣿⣤⣭⣽⣿⣏⡀⠀⣈⣩⣥⡀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠁⠀⣿⣷⡦⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣷⠶⠶⢶⢷
⡛⢽⣦⣶⣿⣷⣤⣦⣼⣿⣿⣿⡧⠀⡀⠀⠀⠀⠄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⡇⠀⠰⠶⠶⣶⡶⢶⣦⠀⠀⠀⢹⣿⣷⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⡶⠾⣿⠒⠳⢿⢻
⣇⠾⣿⣿⣿⣟⣉⣛⡋⢉⠉⣹⣷⠀⡀⠀⠂⠄⠄⠀⢦⡆⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⣾⢀⣶⣶⣿⣷⣿⣿⣶⣆⣀⣹⣿⣿⣷⣠⡀⣀⣀⣀⣀⣾⣯⣭⣤⣤⣤⣤⣤⣿⣿⣿⠛⠛⢻⢿
⡿⠿⣿⣿⣿⣿⠉⣻⣟⣛⣛⣿⣿⠀⠄⢸⡅⠑⠃⠘⣋⣒⠓⢺⢜⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣴⡦⠀⢉⣄⣨⣏⣈⣀⣽⣉⠉⠿⠛⢻⣿⠀⢀⣉⣛⣿⣿⣿⣿⣿⣷⣿⣿⣧⣇⡁⢉⣿⠀⠀⣸⣿
⠀⠀⠉⠀⢀⡀⠀⠈⠉⠉⠉⣿⣿⠀⡆⠀⠀⣼⣛⣛⣛⣒⣂⣓⠐⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⠃⠀⠀⠀⠀⠁⠀⠁⠀⠁⣀⣴⠶⢼⣿⠀⠀⢛⣿⣿⠅⠁⣸⣿⣿⣿⣿⣟⡇⠦⣭⣿⣤⣤⣿⣿
⢷⡿⣶⣦⡾⢷⣶⠶⠶⠿⢶⣿⣿⣤⣧⣼⣶⣒⡓⠀⢿⣿⡉⢿⠆⡞⣿⡿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠒⠓⣿⣧⣺⣷⣾⣿⣿⣿⣶⣸⣿⠃⠈⠀⢿⣿⠀⠰⣿⠟⠛⠻⣿⣿⣧⣤⣤⣿⡤⣶⣿⣿
⠻⠷⣿⣿⣧⡞⣛⡛⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣶⣾⣿⢿⠿⠟⠀⠀⠘⠻⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⠂⠀⠀⠂⣿⣠⣾⣷⣖⣤⡀⠨⣷⣷⣀⣀⣸⠀⠁⣿⣿
⣆⢈⣿⡟⢻⣧⣿⣿⡷⣶⣾⣿⢧⣼⣿⡿⠍⠁⠀⠀⠁⠁⠀⠀⠀⠀⠀⠀⣿⣶⡭⠋⠛⠛⠿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⢿⡇⡄⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠛⢻⣿⣤⢰⣿⣿
⣅⠈⣽⣿⣌⣹⡏⠉⢁⡀⠀⠀⠁⢼⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣥⣶⡄⠀⠀⢀⣴⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣚⢻⣿⣿⣸⣿⣿
⣿⣤⣿⣿⣿⣿⣧⡄⢘⠃⣶⣌⠀⣏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠃⠀⠘⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣴⣴⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⡟⠛⢻⡛⣿
⣿⣿⣿⣿⣿⣷⣿⣇⣿⣿⣏⣉⠹⠁⠀⠀⠀⠀⠀⢀⣴⣶⣾⣿⣿⣷⡀⠀⢸⣿⡏⠀⠀⠀⢻⣿⣿⣿⣿⣧⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠻⡿⠀⠀⣸⣿⣿
⣿⣿⣿⣿⣧⣿⣿⡿⠹⠿⠏⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣧⢸⣿⡇⠀⠀⣤⣽⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⡏⠀⠈⠀⠀⠉⠀⣨⡀⠀⢀⣀⣻⣿⣿
⣿⣿⣿⣿⣿⣿⡿⠛⠂⣺⠃⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⢾⣿⡇⠛⠁⣽⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣤⣤⠀⣳⠞⠚⠛⡀⠈⢹⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣧⣤⣤⣼⣶⣄⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡟⢸⣿⣇⠀⠀⢙⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣷⣿⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿
⣟⠛⣻⣻⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⠏⠀⢸⣿⣏⠀⠀⢻⣾⣿⣿⣿⣿⣿⣿⣿⣿⢇⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⡿⠋⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⠿⢿⣿⣿⣿⣿⣮⣽⣿⣿⠁⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⢸⣿⡿⠄⠀⢿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡷⠀⠀⢰⣷⣶⣶⣶⣶⣤⣤⣶⣶⣶
⠀⠀⠀⢩⠉⠁⠠⣬⠋⠻⠁⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⢸⣿⡆⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠿⠒⠀⠐⠚⠙⠻⠿⠈⠻⠿⠿⣿⣿⣿
⠀⠀⢰⡆⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⣾⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡤⣴
⠈⠓⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⠁⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠘⣿⣿⣿⡇⠈⢻⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣷⠀⠀⢻⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡄⠀⢸⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡤⢤⣤⠤⠤⠤⣤⠤⠄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡆⠀⠀⠀⠀⢹⣿⣿⣿⡇⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣦⠦⣒⣒⡶⢶⣤⣶⣆⣀⡀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⣀⣀⡀⠀⢸⣿⣿⣟⣃⠀⠀⠀⠀⠘⣿⣿⡿⢷⠀⣀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⢀⠀⠀⠀⠀⠀⡀⢴⢖⠾⡿⡒⠦⠄⡛⠄⣀⣀⣀⣀⡀⠀⡀⠀
⣴⡿⠟⠛⢿⡆⢀⣾⠟⠛⢿⣷⡀⢠⣾⠿⠛⢿⣷⡀⢰⣿⠟⠛⢿⣧⠀⣴⣿⣟⣻⣿⣦⠀⣼⣿⢟⣻⣿⡦⢀⣿⡇⠀⠀⠀⣿⡟⠛⠛⠋⠀⠀⠀⣿⡇⢸⣿⠀⣸⡇⠀⣿⡇⢸⣿⡀⢸⣿⠘⠛⢿⣿⠛⠋⢸⣿⠀
⣿⡇⠀⢶⣶⣦⢸⣿⢀⣀⡀⣿⡗⢿⣿⢀⣀⣀⣿⡇⣿⡇⢀⣀⣸⣿⡇⣿⡇⣿⣿⣼⣿⡆⣿⡇⡈⣿⣾⣦⠙⣿⡇⣀⣀⡀⣿⣿⢶⡶⠆⣀⣀⡀⣿⡇⢸⣿⠀⢿⣗⠀⣿⡇⢸⣿⡇⣸⣿⢀⣀⢸⣿⢀⣀⢸⡿⢀
⠻⣷⣥⣤⣾⡿⡘⢿⣦⣭⣿⡿⠃⠸⢿⣦⣭⣾⡿⠀⠹⣿⣮⣭⣿⡿⢠⠻⣷⣮⣽⣿⠟⣀⠻⣿⣬⣥⣿⡿⠀⣿⣧⣭⣭⡅⣿⣧⣬⣭⣍⠛⠛⠃⣿⡇⢸⣿⠀⢻⡷⠈⣿⡇⢸⣿⠃⢹⣿⢸⣿⢸⣿⢸⣿⢣⣧⢸
⢤⡠⠭⣭⣴⡺⢿⣷⣮⠉⠁⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠉⠉⠀⠀⢸⣷⣾⣭⡍⠄⠨⠟⠁⢠⣭⣽⣶⣾⠃⠈⠉⠉⠉⠀⠈⠉⠉⠉⠁⠀⠀⠀⠈⠀⠀⠁⠀⠈⠁⠀⡬⣼⣷⣬⣾⠦⢡⣾⣿⠌⠡⠘⣟⠀⢠⣾
⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⠶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⠶⠶⠶⠶⠶⠶⣶⠶⠶⠶⠶⠶⠶⠲⢶⣿⣶⣿⣿⣿⣷⣿⣿⣿⣾⣿⣷⣿⣶⣾⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠚⠋⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠒⠐⠛⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠒⠚⠀⠀⠀⢰⣶⡶⠶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣤⣤⣬⣥⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠠⡄⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀
⠀⠀⠀⠀⠄⠀⣶⣦⣿⣷⣦⣔⠀⡄⠀⠀⠀⠛⠓⡂⠀⢒⣻⣿⣶⣄⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠂⠀⠒⠀⠀⠀⠀⠀⢠⣤⣤⡄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿
⠶⠶⢶⣶⣶⣶⣶⣾⣷⣾⣿⡿⢀⣤⠀⠀⠀⠤⡼⣤⣤⣾⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⢀⢤⣤⣶⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠉⠈⠉⠿⠿⠃⣀⣼⠆⠻⠄⠀⠀⠬⠽⠧⠟⠛⠻⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣛⣻⣿⣿⣿⣻⢿⣻⢿⣟⡟⣫⠹⠿⠛⠛⠉⠛
⠒⠒⠂⠀⠒⠂⠀⣶⠠⢂⣀⠙⠀⣛⣿⠀⠀⠀⠀⢀⠀⠀⠀⣰⣴⣏⣹⣿⣿⣋⣿⣿⣿⣿⣿⣿⡟⠈⠛⠻⠥⡀⠀⠀⠠⠦⢶⡄⢀⡀⠀⠀⠀⠀⠀⠀⠏⠩⠽⠿⠛⠉⠟⣻⣿⣟⣽⣱⣴⣿⣿⠇⠀⠄⠀⠀⠀⠀
⣀⡀⠀⠀⣻⡂⠀⠀⢰⡎⠉⢠⡄⠉⠉⠀⠀⠀⠀⠹⠀⢤⣄⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣤⣴⣾⣷⡄⠀⠀⠀⠉⠉⠉⠉⠙⠁⠀⣾⣶⡦⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣶⣶⣾⠶⠶⢶⢷
⡋⢱⣦⣾⣿⣶⣤⣤⣼⣿⣿⣿⡧⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠰⠶⠶⣶⡶⢶⣦⠀⠁⠀⢹⣿⣷⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⡶⠶⠿⠶⠶⢾⢿
⣧⠼⣿⣿⣿⣽⠉⠛⠋⠉⡉⢹⣷⠀⠂⠀⠀⠤⠄⠀⠄⠄⠀⢠⠆⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠠⢀⣶⣖⣽⣷⣿⡿⣶⣆⣀⣸⣿⣿⣶⣀⡀⣀⣀⣀⣠⣶⣯⣭⣤⣤⣤⣤⣤⣾⣿⣿⠚⠛⢻⢿
⡿⠶⣿⣿⣿⣿⠉⣻⣟⣛⣛⣿⣿⠀⠀⢸⠁⠈⠁⠈⢉⡀⠁⢸⡈⢻⣉⠙⡛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⡦⠀⢉⣁⣉⣋⣉⣁⣹⣉⠉⠿⠛⢛⣿⠀⠀⣉⣛⣿⣟⣽⣿⣿⣷⣿⣿⣇⣇⠁⠉⣿⠀⠀⣼⣿
⠀⠀⠉⠀⢀⡀⠀⠈⠉⠉⠉⣿⣿⠀⡀⠀⠂⣼⡛⢛⣻⣓⣂⣒⡀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠈⠁⠈⠁⠉⠁⣀⣴⠶⢼⣿⠀⠀⢛⣯⣿⠅⠀⣸⣿⣿⣿⣿⣿⡏⠢⣭⣿⣤⣤⣿⣿
⢷⡿⣤⣤⡾⢷⣶⠶⠶⠶⢶⣾⣿⣤⣷⣼⣦⠚⡂⠀⢟⣷⡋⠹⡇⣀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠐⠒⠒⣿⣧⣶⣶⣾⣷⣿⣿⣶⣸⣿⠃⠈⠀⢿⣿⠀⠀⣿⠟⠛⠻⢼⣿⣧⣤⣤⣿⣤⣴⣿⣿
⠺⠶⢿⣿⣧⡜⢛⡛⠓⠳⠿⢿⣿⣿⣿⣿⣿⣿⣶⣾⣿⢿⡿⠿⠃⠀⠀⠙⢛⡛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⠂⠀⠀⠂⣿⣠⣶⣷⣒⣤⢀⠨⣿⡧⣀⣀⣸⠀⠁⣿⣿
⣄⢈⣿⡟⢻⣧⣿⣿⣷⢴⣾⣿⢇⣾⣿⣿⠟⠃⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣶⠉⠉⠉⠻⠿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⢿⠇⡄⠀⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠉⠺⣿⣤⢠⣿⣿
⣅⠈⣽⣿⣄⣹⡏⠉⢁⡀⠀⠀⠀⣹⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣭⣴⣆⠀⠀⢀⣼⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠞⢻⣿⣿⣸⣿⣿
⣿⣤⣿⣿⣿⣿⣧⡄⣈⠃⢶⣈⠀⡍⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠃⠀⠀⢻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣴⣴⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⡟⠛⢻⡻⣿
⣿⣿⣿⣿⣿⣧⣿⣇⣿⣿⣟⡈⠡⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⡟⠉⠹⡿⠀⠀⣸⣿⣿
⣿⣿⣿⣿⣧⣾⣿⡿⠙⠿⠏⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⣴⣼⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⣿⡏⠀⠈⠀⠀⠉⠀⣨⠀⠀⠀⣀⣻⣿⣿
⣿⣿⣿⣿⣿⣿⡿⠓⠂⢺⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠙⠀⣿⠹⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣠⣄⠀⣳⠞⠛⠛⠀⠀⢹⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣧⣤⣤⣭⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⣩⡽⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣶⣿⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿
⣟⠛⣛⣻⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⣼⣧⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⡿⠋⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠶⢿⣿⣿⣿⣿⣭⣭⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠹⠷⣹⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡷⠀⠀⢰⣶⣴⣶⣴⣶⣤⣤⣴⣶⣶
⠀⠀⠀⢩⠉⠁⠀⣭⠋⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⣶⣶⣶⡆⢸⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠿⠿⠂⠀⠐⠚⠛⠻⠿⠀⠻⠿⠾⣿⡿⣿
⠀⠀⠰⡆⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣧⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡠⣥
⠈⠓⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠤⣤⡄⢸⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠉⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠤⠤⣤⠤⠤⠤⠤⠤⠄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠐⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣶⠄⣒⣒⡦⣤⣤⣴⣄⣀⡀⠀⠀⠀⠀⣀⣀⡛⠿⠿⠉⠉⣉⣛⡋⠉⠸⣿⣿⣿⣋⠀⠀⠀⠀⠀⣻⣿⡿⢿⡿⣛⠙⢿⣿⣿⣿⣟⣀⣀⡀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠠⢖⠲⡿⡒⠦⠄⡛⠄⣀⣀⣀⣀⡀⠀⡀⠀
⣴⡿⠟⠻⢿⡆⢠⣾⠟⠛⢿⣷⡀⢠⣾⠿⠛⢿⣷⡀⢰⣿⠟⠛⢿⣧⠀⣰⣿⣟⡻⣿⣦⠀⣼⣿⢟⣻⣿⡦⢁⣿⡇⠈⠻⠇⣿⡟⠛⠛⠛⠀⠀⠀⣿⡇⢸⣿⠀⢸⡧⠀⣿⡇⢸⣿⡂⢸⣿⠘⠛⢿⣿⠛⠋⢸⣿⠀
⣿⡇⠀⢶⣶⣦⢸⣿⢀⣀⡀⣿⡷⢿⣿⠀⢀⠠⣿⡇⣿⡇⢀⣀⣸⣿⡇⣿⡇⣿⣿⣸⣿⡆⣿⡇⡈⣿⣾⣧⠙⣿⡇⣀⣀⡀⣿⣿⠶⡶⠆⠀⠀⠀⣿⡇⢸⣿⠀⢿⣷⠀⣿⡇⢸⣿⡇⣸⣿⢀⣀⢸⣿⢀⣀⢸⡿⢀
⠻⣷⣤⣤⣾⡿⡘⢿⣦⣭⣿⡿⠃⠘⢿⣦⣤⣾⡿⠀⠹⣿⣮⣭⣿⡟⢡⠹⣷⣬⣽⣿⠟⣀⠿⣿⣬⣥⣿⡿⡀⣿⣧⣭⣭⡅⣿⣧⣤⣤⣄⠀⠀⠀⣿⡇⢸⣿⠀⢻⡷⠈⣿⡇⢸⣿⠇⢹⣿⢸⣿⢸⣿⢸⣿⢣⣧⢘
⢤⠠⢭⣭⣤⡺⢿⡷⡮⠉⠁⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠉⠉⠁⠀⠈⣿⣾⣯⣭⢄⠨⠀⠑⠀⣭⣭⣶⣾⡗⠈⠉⠉⠉⣠⣬⣭⡍⠉⠁⠀⠀⠀⠈⠀⠀⠁⠀⠈⠁⠀⡬⢴⣷⣥⢾⠦⢡⣾⣿⡈⢡⠘⡟⠀⢤⣾
⣾⣿⣿⣿⣿⣿⣿⣿⡿⣿⡷⣶⣶⣶⣶⣶⣶⣶⣷⣾⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⠶⠶⠶⠶⠖⠲⠲⢶⣿⣶⣿⣿⣿⣷⣾⣿⣿⣾⣿⣿⣿⣾⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠚⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠠⠒⠰⠙⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠓⠚⠀⠀⠀⢰⣶⡶⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀
⠀⠀⠀⠀⠄⠠⣶⣦⣿⣷⣦⣄⠀⡄⠀⠀⠀⠛⠓⡂⠀⢮⢾⣿⣧⡄⣲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠤⠤⠤⠀⠀⠀⠀⢠⣤⣤⡄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣷⣿⣯⣶⣾⣾⣿⣿⣿⣿
⠶⠶⢶⣶⣶⣶⣶⣶⣶⣾⣿⡿⢀⣶⠀⠀⠀⠤⣼⣤⣤⣾⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⢀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⢠⣄⣀⣶⣾⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠉⠈⠉⠿⠿⠃⣀⣼⠄⠻⢄⠀⠀⠼⠿⠧⡟⠛⠟⠻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣛⣻⣿⢻⣻⣿⣿⣿⣿⣿⣟⣛⠹⠿⠛⠛⠉⠛
⠒⠒⠂⠀⠒⠂⠐⣶⠠⢂⣀⠙⠀⣛⣿⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣿⣨⣿⣿⣭⣿⣿⢻⣿⣿⣿⣿⠉⠛⣿⣇⠀⠀⠀⠠⠤⢶⡄⢀⡀⠀⠀⠀⠀⠀⠀⠆⠋⠽⠿⠛⠛⠏⣽⣿⣿⣿⣿⣿⣿⣿⠇⠠⠀⠀⠀⠀⠀
⣀⡀⠀⠀⣻⡂⠀⠀⢠⣎⠉⢀⡄⠉⠉⠀⠀⠀⠀⠹⠀⢠⣤⣸⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⢀⣠⣴⣷⡄⠀⠀⠀⠉⠉⠉⠉⠙⠁⠀⣾⣶⡦⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⠶⠶⢶⣿
⡋⢵⣶⣼⣿⣶⣤⣤⣼⣿⣿⣿⡧⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠰⠶⣶⡶⢶⡦⠀⠁⠀⢹⣿⣷⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⡶⠾⠷⠶⠶⢾⢿
⣧⡎⣟⣿⣿⣯⠉⠛⠋⢉⠉⢹⣷⠀⠀⠀⠀⠤⠄⠠⢤⠢⠀⢰⠆⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⢀⣶⣖⣽⣷⣿⣿⣶⣆⣀⣸⣿⣿⣶⣀⡀⣀⣀⣀⣀⣶⣯⣭⣤⣤⣤⣤⣤⣾⣿⣿⠛⠛⢻⢿
⡿⠷⣿⣿⣿⣿⠉⣿⣟⣛⣛⣿⣿⠀⠀⢸⡁⠈⠅⠈⢉⡐⠘⢘⡄⢻⣏⡉⣋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡤⠀⢉⣁⣉⣋⣉⣉⣹⣉⠉⠿⠛⢻⣿⠀⢀⣉⣛⣿⣟⣿⣿⣿⣿⣿⣾⣧⣇⠁⡉⣿⠀⠀⣼⣿
⠀⠀⠉⠀⢈⡀⠀⠈⠉⠉⠉⣿⣿⠀⡀⠀⠀⣜⡟⢛⣻⣓⣂⣒⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠈⠁⠈⠁⠉⠁⣀⣴⠶⢼⣿⠀⠀⢛⣟⣿⠅⠀⢸⣿⣿⣿⣿⣟⡇⠦⣬⣿⣤⣤⣿⣿
⢷⡿⣤⣤⡿⢷⣶⠶⡶⠶⢶⣾⣿⣤⣷⣴⣦⠚⠂⠀⠿⣧⠉⠻⣇⣀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠒⠒⣿⣧⣾⣷⣾⣿⣿⣿⣶⣸⣿⠂⠈⠈⢿⣿⠀⠰⡿⠟⠛⠻⢹⣿⣧⣤⣥⣿⣤⣴⣿⣿
⠸⠶⢿⣻⣧⡜⢛⡛⠓⠻⠿⢿⣿⣿⣿⣿⣿⣿⣶⣾⣿⢿⣿⠿⠟⠀⠀⠙⠻⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⠂⠀⠀⠂⣿⣠⣶⣶⣂⣄⣀⠨⣿⡇⣀⢀⣸⠀⠃⣿⣿
⣄⢈⣿⣿⢻⣧⣿⣿⡷⢶⣾⣿⣇⣾⣿⣿⡿⠃⠀⠀⠁⠈⠁⠀⠀⠀⠀⠀⠀⣿⣿⠍⠉⠉⠹⢿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢿⡇⡀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣾⣿⣇⠃⢸⣿⣤⢰⣿⣿
⣅⠈⣽⣿⣌⣹⡏⠉⢁⡀⠀⠀⠀⣹⣿⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⣵⣦⠀⠀⢀⣰⣾⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡚⢻⣿⣿⣸⣿⣿
⣿⣤⣿⣿⣿⣿⣧⡄⢈⠃⣶⣀⠀⡿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠀⠀⢺⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣴⣴⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⡿⠛⢻⠻⣿
⣿⣿⣿⣿⣿⣧⣿⣇⣿⣿⣟⡁⠁⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠃⠀⠀⠈⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠹⡿⠀⠀⣸⣶⣿
⣿⣿⣿⣿⣧⣼⣿⡿⠙⠿⠏⠀⢡⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⣿⣿⠀⠀⢀⡄⣿⣿⣿⣿⣿⣴⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⡏⠀⠈⠀⠀⠉⠀⣨⠀⠀⢀⣀⣻⣿⣿
⣿⣿⣿⣿⣿⣿⡿⠛⠂⢺⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣆⠀⠀⢿⣿⡗⠔⠓⢏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣤⣤⠀⣳⠞⠚⠛⠀⠈⢹⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣧⣤⣤⣭⣼⣤⡄⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣷⠀⣼⣿⠃⠀⢐⡬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣶⣿⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿
⣟⠛⣻⣻⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡄⠀⠘⣷⣽⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⡿⠋⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠶⢿⣿⣿⣿⣯⣭⣯⣿⣿⡏⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⡀⣿⣿⡇⠀⠠⡿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣧⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡷⠀⠀⢰⣶⣶⣶⣴⣶⣤⣤⣴⣶⣶
⠀⠀⠀⢩⠉⠁⠈⣉⡛⠛⠉⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⣿⣿⠁⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠿⠂⠀⠒⠛⠛⠻⠿⠀⠻⠿⠾⣿⣿⣿
⠀⠀⠰⡆⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠁⠀⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡤⡤
⠘⠓⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⠿⠟⠛⠛⠉⠀⠀⢠⣿⣿⠃⢀⠀⢀⠸⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⠀⠀⠀⠁⢀⣿⣿⣿⡇⠀⠀⠘⢿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠙⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢤⣤⠤⠤⠤⠤⠤⠄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣶⠦⣒⣒⡦⣶⣤⣴⣆⣀⡀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⣀⣀⡀⠀⠀⣼⣿⣿⣟⠀⠀⠀⠀⠀⣻⣿⠿⣿⡇⢀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠠⢖⠺⡿⡒⠦⠄⡛⠄⣀⣀⣀⣀⡀⠀⡀⠀
⣴⡿⠟⠻⢿⡆⢀⣾⠟⠛⢿⣷⡀⢠⣾⠿⠛⢿⣷⡀⢰⣿⠟⠛⢿⣧⠀⣰⣿⣟⡻⣿⣦⠀⣼⣿⢟⣻⣿⡦⢁⣿⡇⠀⠀⠀⣿⡟⠛⠛⠛⠀⠀⠀⣿⡇⢸⣿⠀⢸⡇⠀⣿⡇⢸⣿⡄⢸⣿⠘⠛⢿⣿⠛⠋⢸⣿⠀
⣿⡇⠀⢶⣶⣦⢸⣿⢀⣀⡀⣿⡧⢿⣿⢀⣀⡀⣿⡇⣿⡇⢀⣀⣸⣿⡇⣿⡇⣿⣿⣸⣿⠆⣿⡇⡈⣿⣾⣧⠙⣿⡇⣀⣀⡀⣿⣿⢶⡶⠆⣀⣀⡀⣿⡇⢸⣿⠀⢿⡷⠀⣿⡇⢸⣿⡇⣸⣿⢀⣀⢸⣿⢀⣀⢸⡿⢀
⠻⣷⣥⣤⣾⡿⡘⢿⣦⣭⣿⡿⠃⠘⢿⣦⣭⣾⡿⠀⠹⣿⣮⣭⣿⡟⠀⠹⣷⣬⣽⣿⠟⣀⠻⣿⣬⣥⣿⡿⡠⣿⣧⣭⣭⡅⣿⣧⣬⣭⣍⠙⠛⠃⣿⡇⠸⣿⠀⢼⡷⠈⣿⡇⢸⣿⠇⢸⣿⢸⣿⢸⣿⢸⣿⢣⣧⢸
⢤⠠⠭⣭⣔⡾⢿⣷⡬⠉⠁⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠉⠉⠁⠀⠀⢻⣶⣯⣭⠄⠨⠘⢡⠀⣭⣽⣶⣾⡗⠈⠉⠉⠉⠀⠈⠉⠉⠉⠁⠀⠀⠀⠈⠀⠀⠁⠀⠈⠁⠀⡬⢴⣷⣭⡾⠆⢡⣾⡿⠎⠡⠘⣟⠠⢠⣾
⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⠶⠦⣦⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⢶⣶⠴⠴⠴⢶⢶⣶⡶⠶⠶⠶⠶⠶⠲⠶⢶⣿⣶⣿⣿⣿⣷⣾⣿⣿⣾⣿⣷⣷⣶⣾⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⡉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠚⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠓⠚⠀⠀⠀⢰⣶⣶⡦⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⣄⠀⠘⢻⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠠⡄⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣀
⠀⠀⠀⠀⠄⠠⣶⣮⣿⣷⣦⣀⢀⡀⠀⠀⠀⠛⢛⡃⠀⢚⢺⣿⣾⠵⢡⣴⣿⣿⣿⣿⣿⣿⣷⣶⣦⣄⣀⠀⣀⣀⠀⠀⠀⠀⢠⣤⣤⡄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿
⠶⠶⢶⣶⣶⣶⣶⣾⣿⣿⣿⡿⢠⣤⠀⠀⠀⠤⣼⣤⣤⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠉⠁⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⣠⡤⣀⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠈⠉⠉⠋⠿⠿⢇⣀⣿⠎⠿⢄⠀⠀⠬⠿⠧⡟⠛⠻⠿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣟⣿⣿⣿⣿⣟⣻⣻⣿⣿⣿⢛⠹⠿⠟⠛⠛⠛
⠒⠒⠂⠀⠖⠂⠀⣦⠠⢆⣈⠙⠀⢳⣿⠀⠀⠀⠂⠀⠀⠀⠀⠀⢀⣠⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡂⠀⠀⠀⠤⢤⡄⢀⡀⠀⠀⠀⠀⠀⠀⠟⠿⢻⡿⠛⠙⠟⢽⣿⣿⣿⣿⣿⣿⣿⠧⡀⠀⠀⠀⠀⠀
⣀⡀⠀⠀⣳⡒⠂⠉⢰⡎⠉⢁⡄⠋⠉⠀⠀⠀⠀⢸⠀⣠⣄⡀⣿⣽⣷⣾⣿⣷⣾⣿⣯⣿⣿⣿⣿⡁⠉⠙⠛⣷⣆⠀⠀⠀⠈⠉⠉⠉⠙⠁⠀⣾⣶⡦⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⠶⠶⢶⣷
⡛⢽⣶⣾⣿⣷⣤⣤⣼⣿⣿⣿⡧⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣾⣿⣿⣿⠀⠀⠶⣶⡦⣶⣦⠀⠁⠀⢻⣿⣷⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣶⠶⠿⠶⠶⢾⢿
⣧⢾⣿⣻⣿⣿⠉⠛⠋⢙⡹⢻⣷⠀⠀⠀⠢⠤⠄⠠⢶⠤⠀⢠⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢀⣶⣆⣿⣷⣿⣿⣶⣆⣀⣸⣿⣿⣶⣀⡀⣀⣀⣀⣀⣶⣏⣉⣭⣤⣤⣤⣤⣶⣿⣿⠛⠛⢻⢿
⡿⢶⣿⣿⣿⣿⠉⣿⣟⣛⣻⣿⣿⠀⠀⢸⡅⠈⠥⠈⢉⣝⠃⢹⡘⠋⣙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢉⣁⣉⣋⣉⣉⣹⣉⠉⠿⠛⢻⣿⠈⢁⣉⣛⣿⣿⣿⣿⣿⣷⣿⣿⣧⣇⠉⠋⣿⠀⠀⣾⣿
⠀⠀⠉⠀⢈⠀⠀⠈⠉⠉⠉⣿⣿⠀⡀⢀⠂⣾⡟⠛⣻⣛⣀⣒⡀⠀⢸⣷⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠉⠉⠉⠉⠉⠉⣀⣴⠶⢼⣿⠀⠈⠛⣿⣿⠍⠉⢹⣿⣿⣿⣿⣿⡏⠦⣬⣿⣤⣤⣿⣿
⢷⡿⣤⣤⡾⣷⣶⣶⡶⠶⣶⣿⣿⣤⣷⣼⣶⠚⡂⠀⢮⣿⠛⢻⢇⣀⡘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠐⠒⣾⣦⣶⣶⣾⣷⣿⣿⣶⣸⣿⠃⠈⠊⢿⣿⠀⠰⣿⠟⠛⠻⣽⣿⣧⣤⣭⣿⣤⣴⣿⣿
⠿⠶⣿⣿⣧⡼⢛⡓⠳⠶⠿⢿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⡿⠿⠃⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⡃⠀⠀⠆⣿⣠⣾⣷⣖⣤⣀⠨⣿⡷⣈⣈⣹⠀⠃⣿⣿
⣄⢉⣿⣿⢻⣧⣿⣿⣷⣶⣾⣿⣧⣾⣿⣿⡿⠛⠀⠀⠁⠈⠈⠁⠀⠀⠀⠀⠀⢹⣏⣩⠻⠿⠿⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⠇⠄⠀⣔⣿⣿⣿⣿⣿⣿⣿⣾⣿⣇⠋⠸⣿⣅⢸⣿⣿
⣅⠈⣽⣿⣌⣹⡏⠉⢁⡀⠀⠀⠁⣹⣿⣟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢛⣫⡀⠀⠀⠀⣨⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠚⢻⣿⣿⣸⣿⣿
⣿⣤⣿⣿⣿⣿⣧⡄⢈⠃⣶⣊⠀⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠇⠀⠠⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⡿⠟⢻⠛⣿
⣿⣿⣿⣿⣿⣧⣿⣇⣿⣿⣿⡭⠱⠖⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⠀⠀⠀⢻⣿⣿⣿⣿⣷⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠻⡿⠀⠀⣸⣶⣿
⣿⣿⣿⣿⣧⣾⣿⡿⠙⠿⠏⠁⢰⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣇⠀⠠⣠⣸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⡏⠀⠈⠁⠀⠉⠀⣨⣀⠀⠀⣀⣻⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠓⠂⢺⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⠐⢔⠛⢽⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣤⣤⡀⣳⠾⠞⠟⡀⠈⣹⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣧⣤⣤⣭⣬⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⡆⠀⢸⣿⡇⠘⣺⣷⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣶⣿⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿
⣟⠛⣟⢻⣿⣿⣿⣿⣿⣿⣿⣿⡿⠂⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣶⣸⣿⣇⠀⠈⣺⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⡿⠋⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⢶⣿⣿⣿⣿⣿⣭⣽⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢈⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡧⠀⠀⢸⣦⣴⣶⣶⣶⣤⣤⣤⣾⣶
⠀⠀⠀⢩⠉⠁⠈⣍⡟⢛⠉⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⠁⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠿⠓⠀⠐⠛⠛⢿⣿⠀⠿⠿⠿⣿⣿⣿
⠀⠀⢰⡆⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⣿⣿⡇⠀⠀⠀⠀⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡤⣥
⠘⠓⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⠿⠟⠀⢰⣿⣿⡇⠴⠀⠀⠀⣿⣿⡏⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠙⠃⣾⣿⣿⠀⠀⢸⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣦⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⢺⣿⣿⠀⠀⠈⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⢤⣤⠤⠤⠤⣤⠤⠤⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣴⠄⣐⣂⡤⣤⣤⣤⣄⣀⡀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠈⠀⣀⣀⡀⠀⠀⢸⣿⣿⣟⠃⠀⠀⠀⢀⣘⣿⡿⣿⠀⣀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠰⢖⠲⡿⡒⠦⠄⡛⠄⣀⣀⣀⣀⡀⠀⡀⠀
⣴⡿⠟⠻⢿⡆⢠⣾⡟⠛⢿⣷⡀⢠⣾⠿⠛⢿⣷⡀⢰⣿⠟⠛⢿⣧⡀⣰⣿⣟⣻⣿⣦⠀⣼⣿⠟⠻⣿⡦⠀⣿⡇⠀⠀⠀⣿⡟⠛⠛⠛⠀⠀⠀⣿⡇⢸⣿⠀⢸⡯⠀⣿⡇⢸⣿⡆⢸⣿⠘⠛⢿⣿⠛⠋⢸⣿⠀
⣿⡇⠀⢶⣶⣦⢸⣿⠀⣀⡀⣿⡷⣿⣿⢀⣀⣀⣿⡇⣿⡇⢀⣀⢸⣿⡇⣿⡇⣿⣿⣾⣿⡆⣿⡇⡀⣶⣾⣧⠘⣿⡇⣀⣀⣀⣿⣿⢶⡶⠆⣀⣀⡀⣿⡇⢸⣿⠀⣿⡷⠀⣿⡇⢸⣿⡇⣸⣿⢀⣀⢸⣿⢀⣀⢸⡿⢀
⠻⣷⣥⣤⣾⡿⡘⢿⣶⣭⣿⡿⠃⠸⢿⣦⣭⣾⡿⠀⠹⣿⣮⣭⣿⡟⢁⠹⣿⣮⣭⣿⠟⣀⠿⣿⣮⣥⣿⡿⠀⣿⣧⣭⣭⡅⣿⣧⣬⣭⣍⠛⠛⠃⣿⡇⢸⣿⠀⢻⣷⠈⣿⡇⢸⣿⠇⢹⣿⢸⣿⢸⣿⢸⡿⢣⣧⢘
⢤⡠⠭⣭⣴⡺⢿⣷⡮⠉⠁⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠉⠉⠁⠀⠀⢱⣾⣭⣭⣄⡜⠛⠑⠄⢭⣭⣶⣾⠃⠈⠉⠉⠉⠀⠈⠉⠉⠉⠁⠀⠀⠀⠉⠀⠀⠉⠀⠈⠁⠀⡬⢴⣷⣬⣾⡆⢡⣾⣿⠢⠡⠘⣿⠠⢤⣾
⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⠦⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⢶⣶⡶⠶⠴⠶⢶⣶⣶⣶⠶⣶⠶⠶⠶⠶⡲⢶⣿⣶⣿⣿⣿⣷⣾⣿⣿⣾⣿⣷⣷⣶⣾⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠚⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠒⠒⠀⠀⠀⢰⣶⣶⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀
⠀⠀⠀⠀⠄⠀⣶⣬⣿⣷⣆⣀⢀⡀⠀⠀⠀⠛⠒⠒⠀⢨⢿⣿⣆⠈⢐⣸⣦⣿⣿⣿⣿⣿⣿⣿⣶⣶⣦⣤⣀⢀⣀⣀⠀⠀⢀⣄⣤⡄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣥⣷⣿⣿⣿⣿⣶⣽⣶⣶⣷⣿⣿⣿⣿
⠶⠶⢶⣶⣶⣶⣶⣾⣷⣿⣿⡯⢀⣤⠀⠀⠀⡤⣼⣤⣦⣼⣼⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠁⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⣔⣄⣶⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠁⠉⠙⠋⠿⠿⢇⣀⣾⠌⠿⢤⠀⠀⠼⢻⠇⡟⠛⠿⠿⣿⡟⠈⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⢛⠟⢛⣿⣽⣭⠹⢏⣝⣿⠿⠩⢙⠹⠿⠟⠛⠋⠛
⠒⠒⠀⠀⠐⠂⠀⣤⠠⢄⣀⠉⠀⢓⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⠛⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣇⠀⠀⠀⠀⠄⢀⡀⠀⠀⠀⠀⠀⠀⠖⠙⠟⠟⠋⠁⠓⢲⣽⢟⣦⣷⣏⣿⣵⠄⠀⠀⠀⠀⠀⠀
⣀⡀⠀⠀⢳⠀⠀⠉⢰⡎⠉⢁⡄⠋⠉⠀⠀⠀⠀⢸⠀⣠⣤⣀⣀⣸⣷⣶⣾⣿⣿⣯⣽⣧⣼⣿⣿⣿⣏⠀⠉⠙⢻⣦⡀⠀⠀⠈⠙⠋⠛⠋⠀⣾⣶⡦⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣤⣶⣶⠶⠶⢶⢶
⡛⢡⣤⣶⣿⣦⣤⣤⣼⣿⣿⣿⡇⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⡇⠀⢠⡦⢴⡦⠀⠁⠀⢻⣿⣷⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣶⡶⡿⠶⠶⢾⢿
⣣⡞⣿⣙⣻⣝⠉⠛⠋⠙⠛⢻⣿⠀⠀⠀⠀⠤⠄⠀⠤⠤⠀⠀⠀⠀⠠⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⢀⣾⣿⣿⡿⣶⣆⣀⣸⣿⣧⣶⣀⡀⣀⡀⣀⣀⣼⣍⣉⣭⣭⣤⣤⣤⣶⣿⣿⠒⠓⢻⢿
⡯⣥⣿⣿⣟⣹⠉⣻⣟⣛⣛⣿⣿⠀⠀⢸⠀⠡⠄⠨⢩⡄⠘⣨⠘⠃⠀⣿⡻⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠁⠀⣀⣉⣋⣉⣉⣹⡉⠉⠿⠛⢻⣿⠈⠁⣉⢛⣿⣟⣿⣿⣿⣷⣾⣹⣧⣇⠉⠉⣿⠀⠀⣼⣾
⠀⠀⠉⠀⢈⠀⠀⠈⠉⠉⠉⣿⣿⠀⡀⢀⠀⣞⡛⠛⣛⣀⢀⣀⣀⠀⣀⣿⣿⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠁⠉⠉⠉⠉⠉⠉⣀⣤⢤⣼⣿⠀⠀⠛⣿⣿⠅⠉⢸⣿⣿⣿⣿⣿⡇⠦⣬⣿⣤⣤⣿⣿
⣶⡷⣤⣤⡾⣷⣦⣶⣶⣶⣴⣾⣿⣄⣧⣴⣖⣚⡂⠀⣞⣣⣙⣿⡐⡒⢲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠒⢶⣦⣶⣶⣾⣶⣿⣿⣶⣸⣿⠂⠈⠈⢿⣿⠀⠀⠿⠿⠛⠻⢸⡿⣧⣤⣭⣿⣭⣵⣿⣿
⠺⠶⣿⣻⣧⡼⠛⠲⠶⠶⠾⠿⣿⣿⣿⣿⣿⣶⣶⢾⣿⣿⡿⣿⣿⡿⠟⠁⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⣽⣿⣿⣿⡆⠀⠀⠈⣿⣠⣶⣧⣀⡀⢀⠘⣿⡇⠀⠉⣹⠀⠃⣿⣿
⡄⢀⣽⡿⢻⣇⣿⣿⣧⣴⣾⣿⣇⢺⣿⣿⡿⢾⡖⠚⠋⠈⠀⠀⠀⠀⠀⠀⠀⠀⢰⣦⣌⡛⠻⠟⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠁⠀⠀⣔⣿⣿⣿⣿⣿⣿⣿⣾⣿⣇⠋⢸⣿⣄⢰⣿⣿
⣅⠈⣽⣿⣌⣻⡏⠉⠁⡀⠀⠀⠁⢹⣿⣽⣿⠍⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢛⣩⡄⠀⠀⠀⢉⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠶⢿⣿⣿⣸⣿⣿
⣯⣤⣽⣿⣿⣿⣧⡄⢘⠃⣶⢀⠀⡝⣿⠿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⠀⠀⣴⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⡿⠟⢻⠻⣿
⣿⣿⣿⣿⣿⣯⣿⡇⣿⣿⣟⣈⠁⠖⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠇⠀⠀⢸⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣾⣿⡟⠋⠻⡿⠀⠀⢸⣶⣿
⣿⣿⣿⣿⣯⣽⣿⠿⠹⠿⠟⠉⢡⣶⣿⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡏⠀⠈⠀⠀⠉⠀⣀⡀⠀⠀⢀⣻⣿⣿
⣿⣿⣿⣿⣿⣿⡿⠓⠂⢲⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣆⠀⠀⠀⣿⣿⠠⠀⠰⠇⣿⣿⣿⣿⣿⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣀⣀⠀⣳⠖⠚⠛⠀⠀⢸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣟⣧⣤⣤⣭⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⣿⣿⠀⣀⢀⣤⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣶⣿⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿
⣛⠛⣛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⠄⢸⣿⣿⠀⠰⢴⢹⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡿⠋⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⢶⣿⣿⣿⣿⣯⣭⣽⣿⣿⣿⡟⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⡇⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡧⠀⠀⢸⣥⣤⣶⣤⣥⣤⣤⣤⣾⣼
⠀⠀⠀⢉⠉⠁⠈⣉⣉⠛⠉⠀⠀⠀⠀⢀⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⠃⠀⠐⠚⠛⢻⡿⠀⠻⡿⠿⣿⣿⣿
⠀⠀⠰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠁⢸⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡀⣤
⠘⠛⠂⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⡿⠻⠻⠿⠟⠛⠀⠀⠀⣾⣿⣿⠀⡀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠿⠟⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⠀⠰⠁⠀⢸⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣠⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠑⠸⣿⣿⣯⠀⠀⠘⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⠤⠤⠄⢤⠤⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠈⠉⠙⠋⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣴⠄⣀⣀⡠⣤⣤⣤⣄⣀⡀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⢐⣿⣿⠿⠏⠀⠀⠀⣀⣀⠿⣿⣿⣇⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡿⡀⠢⠄⡛⠄⣀⣀⣀⣀⡀⠀⡀⠀
⣴⡿⠛⠻⢿⡆⢀⣾⡿⠛⢿⣷⡀⢠⣾⠿⠛⢿⣷⡀⢰⣿⠟⠛⢿⣧⠀⣰⣿⢟⣻⣿⣦⠀⣼⣿⠟⠻⣿⡎⠉⣿⡇⠀⠀⠀⣿⡟⠛⠛⠛⠀⠀⠀⣿⡇⢸⣿⠀⢸⡇⠀⣿⡇⢸⣿⡀⢸⣿⠘⠛⢿⣿⠛⠋⢸⣿⠀
⣿⡇⠀⢶⣶⣦⢸⣿⠀⣀⡀⣿⡧⢿⣿⢀⣀⡀⣿⡇⣿⡇⢀⣀⢸⣿⡇⣿⡇⣿⣿⣾⣿⠆⣿⡇⡀⢶⣶⣦⠈⣿⡇⣀⣀⡀⣿⣿⠶⡶⠆⣀⣀⡀⣿⡇⢸⣿⠀⢿⣷⠀⣿⡇⢸⣿⡇⢸⣿⠀⡀⢸⣿⠀⡀⢸⡿⠀
⠻⣷⣥⣤⣾⡿⡘⢿⣦⣭⣿⡿⠃⠘⢿⣦⣭⣾⡿⠀⠸⣿⣮⣭⣿⡟⠀⠹⣿⣮⣭⣿⡟⣀⠻⣿⣬⣤⣿⡿⡀⣿⣧⣭⣭⡅⣿⣧⣬⣭⣍⠙⠛⠃⣿⡇⢸⣿⠀⢺⡿⠈⣿⡇⢸⣿⠃⢸⣿⢸⣿⢸⣿⢸⡿⢣⣧⢘
⢤⡠⠭⣭⣄⡲⢿⣷⣬⡍⠁⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⣭⣭⣶⣿⠸⠁⠀⢉⠉⣴⣾⣷⡌⠉⠉⠉⠀⠈⠉⠉⠉⠁⠀⠀⠀⠉⠀⠀⠉⠀⠈⠁⠀⠈⠀⢷⣬⣾⡦⢡⣾⣿⠊⠡⠘⡟⠀⢠⣾
⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠴⣶⣶⣤⡶⡶⢦⣤⠶⠦⣶⣶⢶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⠶⠶⠦⠤⠤⠴⠶⢴⢤⢤⠤⠦⠤⠰⠔⠲⡖⢤⣶⣶⣾⣿⣶⣶⣾⣿⣿⣾⣿⣷⣷⣶⣾⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠚⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠓⠚⠀⠀⠀⢰⣶⣶⣦⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⣀⣴⣤⣀⣻⣦⣀⣀⡀⡀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣠
⠀⠀⠀⠀⠄⠠⣶⣮⣿⣷⣆⣀⢀⡀⠀⠀⠀⠛⠒⡒⠀⢿⢿⣿⣾⡏⢸⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡶⠤⠶⠶⠄⠀⠀⢀⣤⡀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣷⣾⣿⣿⣿⣷⣷⣶⣷⣾⣿⣿⣿⣿⣿
⠶⠶⢶⣶⣶⣶⣶⣾⣷⣿⣿⡿⢤⣤⠀⠀⠀⢤⣼⣦⣦⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⣀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⣠⣶⣤⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠉⠉⠙⠛⠿⠿⢇⣀⣿⡌⠿⢤⠀⠀⠼⣻⡧⡿⠛⠿⠿⣿⡏⠉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣻⡹⠿⠟⠛⠛⠛
⠒⠒⠂⠀⠒⠂⠀⣤⠠⢄⣈⠙⠈⢳⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠿⢋⣹⣿⣛⣽⣟⠿⢿⣿⣿⣿⠻⢿⣿⣷⣄⠀⠀⠀⠄⢀⡀⠀⠀⠀⠀⠀⠀⠟⠿⢿⡿⢿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠀⡄⠀⠀⠀⠀
⣀⡀⢀⡀⢳⡒⠀⠉⢱⡎⠋⢡⡄⠋⠉⠀⠀⠀⠀⢸⠀⣤⣤⣀⡀⢀⠿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣶⣿⣷⣤⣄⣠⣭⣿⣦⠀⠀⠈⠛⠋⠛⠋⠀⣾⣶⣆⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⠶⠶⢶⢷
⡟⣽⣶⣶⣿⣶⣤⣤⣼⣿⣿⣿⣧⠀⠀⠀⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢠⡶⣴⣦⠈⠁⠀⢻⣿⣷⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⠶⠶⢾⢿
⣇⡟⣿⣛⣻⣿⠉⠻⡛⠙⠛⢻⣿⠀⠀⠀⠦⠠⠄⠤⢶⠦⠀⠠⠀⠀⠤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⣿⣿⣿⡿⣶⣆⢀⣸⣿⣿⣶⣀⡀⣀⣀⣀⣀⣼⣭⣉⣭⣭⣥⣤⣤⣶⣿⣿⠲⠓⢻⣿
⣿⣿⣿⣿⣿⣻⠉⣿⣟⣛⣻⣿⣿⠀⠀⢸⡅⠭⠥⠸⢩⡍⢒⣘⡘⠓⢲⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣄⣀⣉⣋⣉⣉⣹⡉⠉⠿⠛⢻⣿⠉⠁⣉⣛⣿⣿⣿⣿⣿⣿⣿⣿⣧⣇⠉⠙⣿⠀⠀⣼⣿
⠀⠀⠉⠀⢉⠀⠀⠈⠉⠉⠙⣿⣿⠀⡇⢨⡯⣿⡛⡛⣻⣉⣀⣂⡀⢀⣲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠉⠉⠉⠉⠉⠉⠉⣀⣴⢤⣼⣿⠀⠀⢻⣿⣿⠍⠉⢹⣿⣿⣿⣿⣿⡏⠦⣬⣿⣤⣤⣿⣿
⣷⡷⣤⣤⣾⣷⣦⣶⣶⣶⣴⣾⣿⣤⣷⣼⣷⣚⡃⠀⣾⣧⣉⣿⣓⡖⣿⣿⡿⠟⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠒⢶⣶⣾⣷⣿⣿⣶⣸⣿⠂⠈⠊⣿⣿⠀⢰⣿⠿⠻⢿⣿⡿⣧⣤⣭⣿⣭⣽⣿⣿
⠺⠷⣿⣿⣧⡼⠛⠳⠶⠶⠿⠿⣿⣿⣿⣿⣿⣿⣶⢶⣿⣿⣿⣿⣿⡶⠛⠉⠀⠀⠀⣤⣐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠉⠁⠈⢽⣿⣿⣿⡆⠀⠀⠦⣿⣠⣿⣿⣦⣀⡀⢹⣷⣷⠉⠉⣹⠀⠃⣿⣿
⣆⢀⣿⣿⢿⣧⣿⣿⣧⣴⣾⣿⣷⣺⣿⣿⣷⣾⣷⠾⠟⠋⠉⠈⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⠿⠟⠛⠿⢿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠃⠀⠀⣕⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠛⢿⣿⣅⢰⣿⣿
⣅⠈⣽⣿⣌⣻⡏⠉⢁⡀⠀⠈⠑⢹⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⣴⣶⡀⠀⠀⣠⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠶⢿⣿⣿⣼⣿⣿
⣿⣥⣿⣿⣿⣿⣧⡄⢘⡃⣶⣀⠀⡽⣿⢿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⠁⠀⠸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⡿⠟⢻⠻⣿
⣿⣿⣿⣿⣿⣯⣿⣇⣿⣿⣿⣉⠑⠶⣿⢰⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⢿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠻⡿⠀⠀⣸⣶⣿
⣿⣿⣿⣿⣯⣽⣿⠿⠹⠿⡟⠉⢡⣶⣿⣄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡇⠀⠀⣀⣿⣿⣿⣿⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡏⠀⠉⠁⠀⠉⠀⣈⡀⠀⠀⣀⣻⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠷⠂⢲⠏⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠃⠀⢉⣼⣿⣿⣿⣿⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣤⣠⡀⣷⠾⠞⠟⠀⠈⢹⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣧⣤⣤⣭⣶⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠠⠓⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣶⣿⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿
⣛⠛⣛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣴⣦⡄⠀⣿⣿⡇⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣶⣿⣿⣿⣿⣿⣭⣽⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣀⣿⣿⡇⠀⠀⢨⣿⣿⣿⣿⣿⣿⡿⢃⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡷⠀⠀⢸⣯⣤⣷⣬⣧⣤⣤⣤⣿⣿
⠀⠀⠀⢉⠉⠁⠈⣭⣻⢿⣋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠁⠀⠈⢻⣿⣿⣿⣿⣿⣷⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠿⠓⠀⠐⠛⠛⢿⣿⠈⠻⡿⣿⣿⣿⣿
⠀⠀⢰⡆⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣠⣭
⠘⠓⠚⠑⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⠛⢻⣿⣿⠀⡇⢠⡀⠐⣿⣿⡟⠛⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡿⠿⠟⠋⠀⣿⣿⣿⠀⠆⠄⣀⠀⣿⣿⣷⠀⠈⢿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣦⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡋⠉⠀⠀⠀⠀⢀⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⢸⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣤⠤⠤⣤⠤⠄⠀⠀⠀⠀⠀⠀⠀
⠀⠁⠨⠅⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣟⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣥⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣴⠄⣐⣒⡦⣤⣤⣴⣆⣀⡀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⣋⣀⡀⠀⠀⠀⢀⣺⣿⠿⡿⠀⠀⢀⣀⣀⠿⣿⣿⣇⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡿⡀⠦⠄⡛⠄⣀⣀⣀⣀⡀⠀⡀⠀
⣴⡿⠟⠻⢿⡆⢠⣾⡿⠛⢿⣷⡀⢠⣿⠿⠛⢿⣷⡀⢰⣿⠟⠛⢿⣧⠀⣰⣿⢟⣻⣿⣦⠀⣼⣿⠟⠻⣿⡮⠉⣿⡇⠀⠀⠀⣿⡟⠛⠛⠛⠀⠀⠀⣿⡇⢸⣿⠀⢸⡏⠀⣿⡇⢸⣿⡄⢸⣿⠘⠛⢿⣿⠛⠋⢸⣿⠀
⣿⡇⠀⢶⣶⣦⢸⣿⠀⣀⡀⣿⡷⣿⣟⢀⣀⣀⣿⡇⣿⣇⢀⣀⢸⣿⡇⣿⡇⣿⣿⣿⣿⡆⣿⡇⡀⢶⣾⣦⠘⣿⡇⣀⣀⣀⣿⣿⣶⡶⠆⣀⣀⡀⣿⡇⢸⣿⠀⣿⣷⠀⣿⡇⢸⣿⡇⣸⣿⢀⡀⢸⣿⠀⡀⢸⡿⢀
⠻⣷⣥⣤⣾⡿⡘⢿⣶⣭⣿⡿⠃⠸⢿⣦⣭⣼⡿⠀⠹⣿⣦⣭⣿⡟⠁⠹⣿⣮⣭⣿⡟⣰⠿⣿⣬⣥⣿⡿⠠⣿⣧⣭⣭⡅⣿⣧⣬⣭⣭⠛⠛⠃⣿⡇⢸⣿⠀⢿⣷⠘⣿⡇⢸⣿⠇⢸⣿⢸⣿⢸⣿⢸⡿⢣⣧⢸
⣤⡠⢭⣭⣴⡾⣿⣷⣮⡍⢽⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⢭⣭⣶⣿⠾⢵⠀⠍⡩⢴⣾⣷⣯⠉⠉⠉⠀⠈⠉⠉⠉⠁⠀⠀⠀⠉⠀⠀⠉⠀⠈⠁⠀⠈⢴⣷⣭⣾⣦⢥⣾⣿⡂⢡⠘⣿⠀⣥⣾
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⡶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⠶⠶⠶⢶⢴⣴⣦⣴⣶⣶⢶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣶⣾⣿⣿⣾⣶⣷⣿⣶⣾⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠚⠛⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢀⣤⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠒⠚⠀⠀⠀⢰⣶⣶⡦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢀⣠⣄⣀⣷⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⣀⢀⣄⣄
⠀⠀⠀⠀⠄⠠⣶⣮⣿⣷⣆⣀⢀⡀⠀⠀⠀⠛⠓⡂⠀⢿⣼⣷⣾⠏⢙⢼⢗⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡶⠄⠴⠶⠀⠀⠀⢀⣤⡀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣿⣿⣿⣿⣷⣴⣷⣾⣿⣿⣿⣿⣿
⠶⠶⢶⣶⣶⣶⣶⣾⣷⣿⣿⣯⢀⣤⠀⠀⠀⣤⣼⣤⣦⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⢀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣷⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠉⠉⠙⠋⠿⠿⢇⣀⣾⠌⠿⢄⠀⠀⠼⢻⠇⡿⠛⠿⠿⣿⡏⠈⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣯⣿⣿⣻⣿⣟⣻⣻⣟⣻⣯⡉⠹⠿⠟⠛⠛⠛
⠒⠒⠀⠀⠒⠂⠀⣦⠠⢠⣈⠉⠈⢓⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠷⠏⣻⣿⡛⣹⣟⠿⢿⣿⣿⣿⠛⢿⣿⣷⡄⡀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠧⠋⢿⡟⠛⠟⠿⣿⣿⣿⣧⣽⣽⣿⣿⢅⡀⡀⠀⠀⠀⠀
⣀⡀⢀⠀⣳⡂⠂⠉⢱⡎⠉⢁⡄⠋⠉⠀⠀⠀⠀⢹⠀⣤⣄⣀⣀⢀⠿⢷⣿⣿⣿⣿⣶⣷⣿⣿⣶⣾⣿⣄⣀⣠⣤⣵⣷⡀⠀⠀⠛⠋⠛⠃⠀⣾⣶⣦⠀⠀⠀⠀⠀⠀⠀⢽⣿⣿⣿⣿⣿⣿⣿⣴⣶⣶⠶⠶⢶⢶
⡟⢽⣦⣾⣿⣶⣤⣤⣼⣿⣿⣿⣧⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⡤⣴⣦⠀⠁⠀⢻⣿⣷⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣶⣶⡿⠶⠶⢾⢿
⣧⡾⣿⣛⣿⣿⠉⠻⡛⠙⠛⢻⣿⠀⠂⠀⠤⠤⠄⠠⢶⠤⠀⠄⠀⠀⠀⢬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⣼⣿⣿⡿⣶⣆⢀⣸⣿⣿⣶⣀⡀⣀⣀⣀⣀⣼⣏⣉⣭⣭⣤⣤⣤⣶⣿⣿⠒⠓⢿⢿
⣿⣽⣿⣿⣿⣹⠉⣿⣟⣛⣻⣿⣿⠀⠀⢸⠡⠍⠥⠨⢩⡇⠑⣉⠘⠓⠐⣿⣯⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣀⣉⣋⣉⣉⣹⡉⠉⠿⠛⢻⣿⠉⠁⣉⣛⣿⣿⣿⣿⣿⣿⣿⣿⣇⣇⠉⡙⣿⠀⠀⣼⣿
⠀⠀⠉⠀⢈⠈⠀⠈⠉⠉⠙⣿⣿⠀⡆⢨⢢⣼⡛⠛⣻⣐⣀⣦⡀⠀⣐⣓⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠉⠉⠉⠉⠉⠉⣀⣤⢤⣼⣿⠀⠀⠛⣿⣿⠍⠉⢹⣿⣿⣿⣿⣿⡏⠦⣬⣿⣤⣤⣿⣿
⣶⡿⣤⣤⣾⣷⣦⣶⣶⣶⣴⣾⣿⣤⣧⣼⣷⣚⡂⠀⢞⣧⣋⣿⣀⡒⣻⣷⣾⡿⢿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠲⠆⣲⣶⣾⣶⣿⣿⣶⣸⣿⠂⠈⠈⣿⣿⠀⠠⣿⠿⠛⢿⢸⡿⣧⣤⣭⣿⣭⣵⣿⣿
⠾⠷⣿⣻⣧⡼⠛⠲⠶⠶⠿⠿⣿⣿⣿⣿⣿⣾⣶⢶⣿⣿⣿⣿⣿⣾⡿⠿⠋⠀⠀⢀⡀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠁⠈⠀⠈⣽⣿⣿⣿⡆⠀⠀⡮⣿⣠⣿⣿⣀⣀⢀⠸⣿⣗⢉⢉⣹⠀⠋⣿⣿
⡆⢀⣿⣿⢿⣆⣿⣿⣧⣴⣾⣿⣧⣾⣿⣿⣷⣾⣶⡾⠟⠉⠊⠈⠉⠉⠀⠀⠀⠀⠀⢸⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠻⠃⠀⢀⣗⣿⣿⣿⣿⣿⣿⣿⣾⣿⣇⠋⢸⣿⣄⢰⣿⣿
⣅⠈⣽⣿⣌⣻⡏⠉⢁⡀⠀⠈⠁⣹⣿⣿⣿⣿⢟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣩⣴⡄⠀⠀⢀⣴⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠶⢻⣿⣿⣸⣿⣿
⣿⣤⣿⣿⣿⣿⣧⡄⢘⠃⣶⢈⠀⡽⣿⢽⣿⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⠇⠀⠐⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⡿⠟⢻⠿⣿
⣿⣿⣿⣿⣿⣯⣿⣇⣿⣿⣟⣉⠱⠒⣿⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡏⠀⠀⠀⢻⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠻⡿⠀⠀⢸⣷⣾
⣿⣿⣿⣿⣧⣽⣿⠿⠹⠿⠟⠁⢡⣴⣿⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⣀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡏⠀⠈⠁⠀⠉⠀⣈⡀⠀⠀⣀⣻⣿⣿
⣿⣿⣿⣿⣿⣿⡿⠓⠂⢲⠃⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠠⠐⠿⢸⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣠⣀⠀⣳⠖⠚⠛⠀⠈⢹⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣟⣧⣤⣤⣭⣼⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⡇⠀⠀⢾⣹⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣶⣿⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿
⣟⠛⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⢺⣻⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣶⣿⣿⣿⣿⣿⣭⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⢽⢹⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡷⠀⠀⢸⣧⣴⣶⣬⣧⣤⣤⣤⣿⣭
⠀⠀⠀⢉⠉⠁⠈⣍⣽⢻⣋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠚⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡿⠓⠀⠐⠛⠛⢿⣿⠀⠻⠿⣿⣿⣿⣿
⠀⠀⠰⡆⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡆⠀⠀⠀⠠⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣤⣵
⠚⠓⠓⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠇⢀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣄⡀⠀⣼⣿⣿⠀⢠⣶⣶⣶⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣠⣤⣤⣦⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣦⣿⣿⣿⠀⣠⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⠤⠤⠄⣤⠤⠀⠀⠀⠀⠀⠀⠀⠀
⠉⠁⠤⠁⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣬⠄⣀⣀⡠⢤⣤⣤⣄⣀⡀⠀⠀⠀⠀⣀⣀⡀⢼⣿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣿⣿⠿⠿⠀⢿⣿⣿⣻⡿⣿⡿⣟⢻⣿⣿⣿⣿⣂⣀⣀⡀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡿⡀⠢⢄⡛⠄⣀⣀⣀⣀⡀⠀⡀⠀
⣴⡿⠛⠻⢿⡆⢠⣾⡿⠛⢿⣷⡀⢠⣾⠿⠛⢿⣷⡙⢻⣿⠟⠻⢿⣷⡹⣿⣿⢟⣻⣿⣦⠀⣼⣿⠟⠻⣿⡆⠉⣿⡇⣿⣿⡟⣿⡟⠛⠛⠛⠀⠀⠀⣿⡇⢰⣿⠀⢸⡷⠀⣿⡇⢸⣿⡆⢸⣿⠘⠛⢿⣿⠛⠋⢸⣿⠀
⣿⡇⠀⢶⣶⣦⢸⣿⠀⣀⡀⣿⡧⢿⣿⠀⠀⡀⣿⡇⣿⡇⠀⠀⢸⣿⡇⣿⡇⣿⣿⣿⣿⡆⣿⡇⡀⢶⣾⣦⠈⣿⡇⠙⠛⠃⣿⣿⢶⡶⠆⠀⠀⠀⣿⡇⢸⣿⠀⣻⣷⠀⣿⡇⢸⣿⡇⢸⣿⠀⡀⢸⣿⠀⡀⢸⡿⠀
⠻⣷⣤⣤⣾⡿⡘⢿⣶⣭⣿⡿⠃⠘⢿⣦⣬⣾⡿⠀⠹⣿⣦⣭⣾⡟⣁⠹⣿⣮⣽⣿⠟⣠⠻⣿⣬⣤⣿⡿⡠⣿⣧⣥⣤⡄⣿⣧⣤⣤⣄⠀⠀⠀⣿⡇⢸⣿⠀⢻⣿⠘⣿⡇⢸⣿⠃⢸⣿⢸⣿⢸⣿⢸⡿⢣⣧⢘
⢤⠠⢭⣭⣴⡾⣿⣷⣮⡭⡥⠀⠀⠀⠀⠈⠉⠁⣠⣀⣀⡀⠈⠉⠀⠀⠀⠀⠀⣭⣭⣶⣿⠞⠑⠄⠉⠉⢴⣾⣷⡮⣭⣭⣭⣤⣬⣭⡍⠉⠁⠀⠀⠀⠉⠀⠀⠉⠀⠈⠁⠀⠈⠀⣷⣬⣾⣦⢥⣾⣿⠆⠡⢘⡿⠀⢥⣾
⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣶⣶⣶⣶⣾⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣷⣶⣴⣶⣶⡦⣴⢶⣶⡴⣶⣶⣶⣦⣶⣶⣾⣿⣾⣶⣾⣿⣿⣶⣶⣷⣿⣶⣾⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠚⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⣖⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠓⠒⠀⠀⠀⢰⣶⣶⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⠀⠀⢀⠀⠀⢀⢀⣦⣾⣿⣶⣷⣶⣶⣶⣤⣀⠀⠀⠀⠀⠀⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣐⣢⣠
⠀⠀⠀⠀⠄⠠⣶⣮⣿⣷⣆⣐⢀⡀⠀⠀⠀⠛⢒⡒⠀⣾⣿⣿⣿⡛⢿⣽⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠶⠒⠒⠲⠀⠀⠀⣤⡀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣷⣿⣿⣿⣿⣾⣶⣾⣶⣶⣿⣿⣿⣿⣿
⠶⠶⢶⣶⣶⣶⣶⣿⣿⣿⣿⣿⢀⣤⠀⠀⠀⡤⣼⣥⣦⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣄⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⣠⣴⣤⣶⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠉⠉⠙⠋⠿⠿⢇⣀⣾⠎⠿⣤⠀⠀⠼⢻⡇⡿⠟⠿⠿⣿⡏⠉⣙⡾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠿⠿⠿⠛⠛⠛
⠒⠒⠀⠀⠖⠂⠀⣤⠠⢤⣀⠙⠈⢳⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢋⣤⣿⣷⡴⢾⢉⣛⡿⠿⣿⡿⠙⠿⢿⣧⣈⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠿⠿⣿⣿⣿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢇⡀⡀⠀⠀⠀⠀
⣀⡀⠀⠀⣳⡒⠂⠉⢱⡎⠋⢡⡄⠋⠉⠀⠀⠀⠀⢹⠀⣤⣤⣀⣀⢀⠈⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣤⣼⣿⡄⠀⠀⠛⠋⠛⠋⠀⣾⣶⣦⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣾⠶⠶⢶⣶
⡟⣽⣦⣿⣿⣷⣤⣤⣼⣿⣿⣿⣧⠀⡀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⡤⣴⣦⠈⠁⠀⢻⣿⣷⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⠶⠶⢾⢿
⣯⣿⣿⣻⣿⣿⡉⠻⡛⠙⠛⢻⣿⠀⠂⠠⠦⠤⠄⠤⢦⠦⠀⠠⠀⠀⠠⠄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⣴⣿⣿⡿⣶⣆⢀⣹⣿⣿⣶⣀⡀⣀⣀⣀⣀⣼⣏⣉⣭⣭⣥⣤⣤⣶⣿⣿⠲⠓⢻⢿
⣿⣿⣿⣿⣿⣿⠉⣿⣟⣛⣻⣿⣿⠀⠀⢸⠥⠭⠄⠸⢩⡟⠓⣉⡘⠓⢒⣿⣿⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⣉⣋⣉⣉⣩⡉⠉⠿⠛⢻⣿⠉⢁⣉⣛⣿⣿⣿⣿⣿⣿⣿⣿⣧⣇⠉⠛⣿⠀⠀⣼⣿
⠀⠀⠉⠀⢉⠈⠀⠈⠉⠉⠉⣿⣿⠀⡃⢨⠫⣿⡛⡛⣻⣑⣀⣂⣀⡀⣰⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠉⠉⠉⠉⠉⠉⠉⣀⣴⢤⣼⣿⠀⠈⢻⣿⣿⠍⠉⣹⣿⣿⣿⣿⣿⡏⠦⣬⣿⣤⣬⣿⣿
⣷⡷⣤⣤⣾⣷⣦⣶⣶⣶⣴⣾⣿⣄⣧⣼⣶⣚⡃⠀⣾⣯⣙⣿⣆⡐⣻⣿⣿⡿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠲⠖⣶⣶⣾⣶⣿⣿⣶⣸⣿⠂⠘⠛⣿⣿⠀⢰⣿⠿⠻⢿⣿⣿⣧⣤⣭⣿⣭⣵⣿⣿
⠿⠷⣿⣿⣧⡼⠛⠲⠶⠶⠾⢿⣿⣿⣿⣿⣿⣾⣶⣾⣿⣿⣿⣿⣿⣶⡿⠟⠁⠀⠀⠀⣘⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠁⠉⠁⠈⣽⣿⣿⣿⡆⠀⠀⡮⣿⣠⣿⣷⣀⣀⣀⠸⣿⣷⢉⠉⣽⠀⠃⣿⣿
⣆⢀⣿⡿⢿⣇⣿⣿⣧⣴⣾⣿⣷⣾⣿⣿⣷⣾⣶⡾⠟⠋⠻⠂⠉⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠃⠄⢀⣗⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠛⢻⣿⣄⢰⣿⣿
⣅⡈⣽⣿⣌⣻⡟⠉⢁⡀⠀⠈⠙⣹⣿⣿⣿⣿⣛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢋⣩⡄⠀⠀⠀⣨⣽⣿⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠶⢿⣿⣿⣸⣿⣿
⣿⣥⣿⣿⣿⣿⣧⡄⢘⡃⣶⣄⡀⣿⣿⢻⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⠀⠀⣾⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⡿⠿⢿⠿⣿
⣿⣿⣿⣿⣿⣯⣿⣇⣿⣿⣿⣩⢹⠖⣿⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣾⣿⡟⠛⠻⡿⠁⠀⣸⣧⣾
⣿⣿⣿⣿⣧⣽⣿⡿⠹⠿⠟⠉⢹⣶⣿⣼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⠀⠀⢀⣸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡏⠉⠉⠁⠈⠉⠀⣈⡀⠀⠀⣀⣻⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠷⠂⢲⠋⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠔⠺⣺⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣄⣠⠀⣷⠶⠾⠿⠀⠈⢹⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣏⣤⣤⣭⣴⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡶⡄⣰⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣶⣿⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿
⣛⠛⣛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣟⠃⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⠋⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣶⣿⣿⣿⣿⣿⣭⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⢹⡻⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⠀⠀⢸⣯⣴⣷⣼⣧⣤⣤⣬⣯⣬
⠀⠀⠀⣉⠉⠁⠈⣍⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠈⠴⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡿⠓⠀⠐⠚⠛⢿⣿⠈⠻⠿⣿⣿⣿⣿
⠀⠀⢰⡆⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡇⠀⠀⠀⢀⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣤⣭
⠘⠛⠛⠃⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⢧⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡇⠀⠀⠠⠄⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣦⣤⣤⣄⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡇⠀⠀⣀⡀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⡤⠤⠤⣤⠤⠄⠀⠀⠀⠀⠀⠀⠀
⠭⣭⢬⠁⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣒⣶⢄⣀⣀⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⠄⣀⣀⡤⣤⣤⣦⣆⣀⡀⠀⠀⠀⠀⣀⣀⡀⠀⢚⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⢿⣿⣶⡀⢀⣀⣀⣀⡀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡿⡀⠢⠄⡛⠄⣀⣀⣀⣀⡀⠀⡀⠀
⣴⡿⠟⠻⢿⡆⢠⣾⡿⠛⢿⣷⡀⢠⣾⠿⠛⢿⣶⡸⢻⣿⢟⣻⣿⣷⠹⣿⣿⢟⣻⣿⣮⠻⣿⣿⣟⣻⣿⡦⠉⣿⡏⣿⣿⣿⣿⡟⠛⠛⠛⠀⠀⠀⣿⡇⢸⣿⠀⣸⡧⠀⣿⡇⢸⣿⡄⢸⣿⠘⠛⢿⣿⠛⠋⢸⣿⠀
⣿⡇⠀⢶⣶⣦⢸⣿⠀⣀⡀⣿⡷⢿⣿⠀⠀⠈⣿⡇⣿⡏⢸⣿⣻⣿⡇⣿⡇⣿⣿⣿⣿⡆⣿⡇⡟⢿⣾⣧⠈⣿⡇⣿⣿⡿⣿⣿⣶⡶⠆⠀⠀⠀⣿⡇⢸⣿⠀⣿⣗⠀⣿⡇⢸⣿⡇⢸⣿⠀⣀⢸⣿⠀⡀⢸⡿⠀
⠻⣷⣥⣤⣾⡿⡘⢿⣶⣭⣿⡿⠃⠘⢿⣦⣤⣾⡿⠁⠹⣿⣦⣭⣾⡟⣁⠹⣿⣮⣽⣿⠟⣀⠿⣿⣮⣤⣿⡿⡀⣿⣧⣭⣭⡅⣿⣧⣤⣤⣄⠀⠀⠀⣿⡇⢸⣿⠀⢿⣿⠘⣿⡇⢸⣿⠇⢸⣿⢸⣿⢸⣿⢸⣿⢣⣧⢸
⣤⡠⢭⣭⣴⣺⣿⣷⣮⣭⡥⠀⠀⠀⠀⠈⠉⠁⠀⣾⣷⣶⣯⣭⣴⣾⣿⣿⣶⣯⣭⣶⣿⣞⣷⣦⣭⣭⣤⠞⢷⣬⣭⣭⣭⣴⣾⠍⠉⠉⠁⠀⠀⠀⠉⠀⠀⠉⠀⠈⠁⠀⠈⠀⣷⣬⣾⣦⢥⣾⣿⡮⠡⢚⡿⠠⣥⣾
⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣦⣶⣶⣶⢶⣶⣶⣶⣶⣶⣾⣿⣷⣶⣿⣿⣿⣶⣶⣶⣿⣶⣾⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠞⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠠⡤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠒⠒⠀⠀⠀⢰⣶⣦⣴⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣦⣤⣭⣤⣴⣤⣀⡀⠀⠀⠀⠀⠀⠐⠓⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣀⣤⣠
⠀⠀⠀⠀⠄⠀⣶⣬⣿⣷⣄⣠⢀⡀⠀⠀⠀⠛⢲⠒⠀⢶⢻⣿⣾⠋⢹⣨⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠆⠴⠶⠂⠀⠀⠀⣤⡀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣷⣾⣾⣿⣷⣶⣦⣶⣶⣿⣾⣾⣿⣿⣿
⠶⠶⢶⣶⣶⣶⣶⣿⣷⣿⣿⡿⢀⣤⠁⠀⠀⣠⣼⣤⣦⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⡀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠁⠉⠙⠋⠿⠿⢇⣀⣿⠎⠿⣤⠀⠀⠼⢻⡇⡿⠛⠿⠿⣿⡏⠈⡙⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⢽⡿⠿⠛⠛⠛
⠒⠒⠀⠀⠒⠀⠀⣤⠠⢄⣈⠙⠈⢳⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⢃⣨⣟⣯⡼⣯⠛⠿⢿⣿⣿⡏⠻⢿⣿⣇⡋⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡀⣀⠀⠀⠀⠀
⣂⡀⢀⠀⣻⡒⠂⠉⢱⡎⠉⢡⡄⠋⠉⠀⠀⠀⠀⢹⠀⣠⣄⣀⣀⢀⠹⢷⣿⣿⣿⣿⣷⣿⣿⣿⣷⣶⣾⣦⣤⣤⣤⣽⣿⡀⠀⠀⠛⠋⠛⠋⠀⣾⣶⣆⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣬⣶⣶⠤⠶⢶⣶
⡟⢻⣾⣶⣿⣷⣤⣤⣼⣿⣿⣿⣧⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⡤⣶⣦⠈⠁⠀⢻⣿⣧⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⠶⠶⢾⢿
⣧⡞⣿⣛⣿⣟⠉⠻⠛⠙⠛⢿⣿⠀⠀⠀⠦⠠⠄⠀⢤⡤⠀⠀⠀⠀⠤⢤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⣴⣿⣿⡿⣶⣆⢀⣸⣿⣿⣶⣀⡀⣀⣀⣀⣀⣼⣏⣉⣭⣭⣤⣤⣤⣾⣿⣿⠲⠓⢿⣿
⣿⣿⣿⣿⣿⣿⠉⣻⣟⣛⣻⣿⣿⠀⠀⢸⠅⠩⠀⠨⢩⡅⠚⣈⡘⠃⠓⣿⣿⣍⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣶⣤⣀⣉⣏⣉⣉⣩⡉⠉⠿⠛⢛⣿⠉⠁⢛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣇⣇⡉⠋⣿⠀⠀⣼⣿
⠀⠄⠉⠀⢉⠁⠀⠈⠉⠉⠙⣿⣿⠀⡀⠨⠈⢛⡛⠟⣛⣀⢀⣐⡀⠀⣐⣟⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠉⠉⠉⠉⠉⠉⠉⣀⣠⣤⣼⣿⠀⠀⠛⣿⣿⠍⠉⣹⣿⣿⣿⣿⣿⡏⢦⣴⣿⣤⣤⣿⣿
⣶⡷⣤⣦⣾⣷⣤⣴⣶⣦⣤⣾⣿⣤⣧⣼⣆⣚⡃⢀⣾⣧⣛⣿⣃⡐⣻⣿⣿⡿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠒⠖⣲⣶⣾⣶⣿⣿⣦⣸⣿⠃⠈⠘⣿⣿⠀⠘⣿⠿⠻⢿⣻⡿⣧⣤⣭⣿⣭⣽⣿⣿
⠿⠷⣿⣿⣧⡼⠛⠲⠶⠶⠶⠿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣷⡿⠟⠉⠀⠀⠀⣘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠁⠉⠁⠈⣽⣿⣿⣿⡆⠀⠀⠞⣿⣠⣶⣧⣀⡀⠀⠸⣿⡿⠉⠉⣹⠀⠃⣿⣿
⣆⢀⣿⡿⢿⣧⣿⣿⣷⣴⣾⣿⡶⣾⣿⣿⣷⣾⣶⡾⠟⠘⠋⠘⠋⠀⠀⠀⠀⠀⠀⠀⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠃⠀⠀⣗⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠛⢽⣿⣤⢰⣿⣿
⣅⠈⣽⣿⣌⣻⡟⠙⢁⡀⠀⠈⠙⣻⣿⣿⣟⣿⡛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢛⣩⡍⠉⠀⠀⢉⣽⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠶⢿⣿⣿⣸⣿⣿
⣯⣦⣿⣿⣿⣿⣧⡄⢈⠃⣶⣂⡀⢿⣿⢻⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⠀⠀⣾⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⡿⠿⢿⡿⣿
⣿⣿⣿⣿⣿⣯⣿⣇⣿⣿⣿⣉⡱⠖⣿⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⢹⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠻⡿⠁⠀⣸⣧⣿
⣿⣿⣿⣿⣧⣿⣿⠿⠹⠿⠟⠉⢩⣷⣿⡌⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⠀⠀⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡏⠀⠉⠁⠈⠉⠀⣈⡀⠁⠀⢀⣻⣿⣿
⣿⣿⣿⣿⣿⣿⡿⠷⠂⢲⠏⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠠⠄⡺⢸⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣀⣀⠀⣶⡶⠾⠿⡀⠈⢻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣟⣏⣤⣤⣭⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠠⠃⢥⣹⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣶⣿⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿
⣛⠛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⠀⠀⢈⢻⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣶⣿⣿⣿⣿⣿⣭⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⢸⠻⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡯⠀⠀⢸⣧⣥⣷⣬⣧⣤⣤⣤⣭⣭
⠀⠀⠀⢉⠉⠁⠈⣉⣟⠿⡉⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡇⠀⠀⠘⠰⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠓⠀⠒⠚⠻⠿⣿⠀⠻⠿⢾⣿⣿⣿
⠀⠀⢠⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣤⣽
⠘⠓⠓⠂⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡇⣆⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⡇⠀⠀⠠⠄⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣤⣤⣤⣄⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⡤⠤⠤⣤⠤⠄⠀⠀⠀⠀⠀⠀⠀
⠀⠡⠩⠅⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡰⣦⠀⠀⢠⣶⣶⣶⣶⣾⣿⣿⣿⣥⣴⣶⣶⣶⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⢂⣥⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣤⣤⣤⣿⣤⣤⣤⣤⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⢀⣆⡀⠀⠀⠀⠘⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣿⣀⣀⣀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢻⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠟⠛⠃⠀⠀⠉⠁⠀⠉⢛⠛⠛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⣁⣠⣿⣿⣿⣛⣉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣤⡸⣿⣿⣿⡿⣿⣿⡿⣿⠿⠂⠀⠀⠀⠀⠀⠀⢠⣶⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡿⢿⣿⣿⢿⠙⢿⣿⢉⣿⣿
⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣴⣶⣶⣶⣶⣦⣶⣿⣿⣿⣶⣾⣿⣿⣾⣷⣿⣿⣶⣾⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠞⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢠⣤⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠒⠒⠀⠀⠀⢰⣶⣦⣤⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣶⣾⣶⣾⣶⣤⣀⡀⠀⠀⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣄
⠀⠀⠀⠀⠄⠀⣶⣬⣿⣷⣄⣠⠀⡀⠀⠀⠀⠚⢲⠒⠀⠿⣿⣿⣾⠉⢈⣽⡷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡖⠒⠖⠒⠠⠀⠀⣀⡀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣧⣶⣾⣿⣿⣶⣦⣴⣷⣶⣾⣶⣿⣿⣿
⠶⠶⣶⣶⣶⣶⣶⣿⣿⣿⣿⡿⢀⣤⠀⠀⠀⣠⣼⣤⣦⣾⣼⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⡀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⢀⣠⣀⣴⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠈⠉⠉⠙⠋⠿⠿⢇⣀⣾⡎⠿⣤⠀⠀⠹⢻⡇⡿⠟⠿⠿⣿⡟⠈⠙⠱⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢍⢹⡿⠿⠛⠛⠛
⠲⠖⠀⠀⠤⠄⠠⣤⠠⢄⡈⠙⠈⢳⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⢋⣠⣽⣧⣴⢾⡍⠛⠿⠿⣿⣿⠉⢿⣿⣧⣂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠯⣽⡿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡀⣀⠀⠀⠀⠀
⣀⡀⠀⠀⣶⠂⠀⠉⢳⡞⠋⢁⡄⠋⠋⠀⠀⠀⠀⢺⠀⣠⣤⣀⣀⠀⠈⠛⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣤⣭⣿⡆⠀⠀⠘⠋⠛⠃⠀⣶⣶⣄⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣤⣴⣶⠤⠶⢶⣶
⣛⣱⣶⣶⣿⣧⣤⣤⣼⣿⣿⣿⣧⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠠⣤⣤⠀⠁⠀⢻⣿⣧⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡿⠶⠶⢾⢾
⣭⣿⣿⣻⣿⣟⠉⠿⠛⠙⠛⢿⣷⠀⠀⠀⠦⠠⠄⠄⢤⡄⠀⠄⠠⠀⠠⠄⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⣰⣿⣿⡿⣴⣄⢀⣸⣿⣿⣶⣀⡀⢀⡀⣀⣀⣼⣏⣉⣩⣭⣤⣤⣤⣾⣿⣿⠲⠒⢿⠿
⣿⣿⣿⣿⣿⣿⠙⣿⣟⣛⣻⣿⣿⠀⠀⢸⠁⠥⠄⠨⢩⡥⠒⣈⡐⠓⠒⣟⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⣉⣏⣉⣉⣩⡉⠉⠿⠛⢻⣿⠉⠁⠛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣇⣇⠉⠋⣿⠀⠀⣼⣾
⠀⠄⠉⠀⢉⠀⠀⠈⠉⡉⠙⣿⣿⠀⡀⠀⠡⢶⠷⠟⣿⣑⢀⣀⡀⡀⣐⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠉⠉⠉⠉⠉⠉⣁⣠⣤⣼⣿⠀⠀⠻⣻⣿⡍⠉⢹⣿⣿⣿⣿⣿⡏⠧⣼⣿⣤⣠⣿⣿
⣷⡷⣤⣤⣿⣷⣤⣦⣶⣶⣤⣿⣿⣀⣧⣼⣴⣛⡃⠀⣾⣧⣙⣿⣆⣐⣺⣿⣿⡟⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠒⠒⢶⣶⣾⣶⣿⣿⣶⣸⣿⠂⠀⠐⣿⣿⠀⠈⣿⠿⠻⢿⣻⡿⣧⣤⣭⣿⣭⣭⣿⣿
⠸⢷⣿⣿⣇⡼⠿⠲⠶⠶⠾⠿⣾⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣷⣶⡟⠛⠀⠀⠀⠀⣘⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠁⠉⠁⠉⣽⣿⣿⣿⡆⠀⠀⠞⣿⣠⣶⣦⣀⡀⠀⠘⣿⡧⠉⠉⣹⠀⠋⣿⣿
⡄⢀⣿⣿⢿⣧⣿⣿⣧⣴⣿⣿⡦⢺⣿⣿⣷⣾⣶⡾⠓⠃⠀⠋⠈⠀⠀⠀⠀⠀⠀⠀⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠃⠀⠀⣶⣿⣿⣿⣿⣿⣿⣿⣾⣿⣧⠐⢸⣿⣤⢰⣿⣿
⣅⠈⣽⣿⣌⣻⡟⠉⢃⡀⠈⠈⠉⢹⣿⣿⣏⣿⡛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢛⣩⣄⠀⠀⠀⢀⣽⣟⢿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠶⢿⣿⣿⣼⣿⣿
⣿⣧⣿⣿⣿⣿⣧⡄⢘⠇⣶⣂⡀⢻⣿⢻⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⠀⠀⣾⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⡿⠿⢻⠿⣿
⣿⣿⣿⣿⣿⣯⣿⣇⣿⣿⣿⣍⡱⠖⣿⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠃⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠻⡿⠁⠀⣸⣧⣾
⣿⣿⣿⣿⣯⣽⣿⠿⠸⠿⠟⠉⢹⣿⣿⡌⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⢨⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡏⠈⠉⠁⠈⠉⠀⣈⠀⠁⠀⢀⣻⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠷⠂⢺⠋⠀⠀⠈⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⠀⠀⠸⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣀⣀⠀⣶⡶⠞⠿⠀⠀⢻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣟⣃⣤⣤⣭⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣶⣿⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿
⣿⠛⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⠀⠀⢠⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣶⣿⣿⣿⣿⣿⣭⣽⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡇⠀⠀⢸⠻⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣿⡯⠀⠀⢨⣯⣭⣭⣭⣥⣤⣤⣤⣭⣭
⠀⠀⠀⣙⠙⠁⠈⣉⣟⣿⡍⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠈⠰⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠗⠀⠐⠚⠛⢿⣿⠈⠿⡿⣾⣿⣿⣿
⠁⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡇⠀⠀⠀⢂⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣠⣬
⠘⠒⠒⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠤⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠠⠄⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣠⣦⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣤⠄⣤⠤⠄⠀⠀⠀⠀⠀⠀⠀
⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⢦⢀⠀⢀⣴⣶⣶⣶⣿⣿⣿⣿⣠⣤⣤⣤⣦⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⢂⣡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣤⣤⣤⣿⣤⣤⣤⣤⡄⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⢀⣀⣧⡀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣿⣀⣀⣀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢻⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠟⠛⠃⠀⠀⠈⠁⠀⠉⢛⠛⠛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣁⣠⣿⣿⣿⣋⣉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣤⡸⣿⣿⣿⡿⣿⣿⣿⣿⡿⠄⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡿⢿⣿⣿⠯⠻⣿⣿⠉⣿⣿
⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣴⣦⣴⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⡶⣦⣴⣶⣶⣶⣶⣦⣶⣿⣿⣿⣶⣾⣿⣿⣾⣷⣶⣿⣶⣿⣿
⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶
⣿⣿⣿⣿⢱⣖⢺⣛⠻⣛⠟⣛⣿⠛⢻⣿⣿⣿⣿⣷⣿⣿⠛⡏⠛⢟⡛⢻⠙⠛⠛⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢽⣿⣿⣿⡟⢘⣿⣿⣿⣍⢽⣿⣿⣏
⣿⣿⣿⣿⣷⣴⣾⣦⣾⣶⣧⣀⣿⣦⣾⣿⣿⣿⣿⣷⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣤⣤⣤⣤⡄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⡤⠤⡤⣤⢤⣤⡤⣤⣤⣤⡤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤
⣿⣿⣿⣿⣇⠻⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣧⣥⣥⣷⣵⣾⣧⣤⣤⣷⣧⣾⣿⣤⣤⣽⣤⣧⣬⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣷⡆⡍⡉⣹⡷⢮⠉⣿⣍⣹⡧⢼⡍⡩⢩⢋⣹⣿⣏⣡⢳⣭⡏⢹⡍⣿⡏⢹⡭⢨⡏⢙⣷⡆⢿⠏⠍⠉⢩⠭⣿⠸⡋⢉⠅⢘⠉⡍⣿⢠⠭⣯⣿⣁⠏⢹⡍⡍⠉⣿⠉⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠷⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣤⣬⣼⣼⣤⣤⣿⣵⣥⣷⣵⣤⣤⣾⣤⣶⣤⣯⣷⣮⣤⣤⣤⣰⣤⣦⣬⣽⣵⣤⣧⣥⣔⣼⣧⣾⣾⣷⣤⣤⣦⣿⣶⣭⣶⣥⣤⣷⣼⣤⣤⣽⣿⣿
⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣯⣽⣯⣍⣉⣉⣏⣏⣫⣏⣉⣯⣉⣹⣉⣉⣭⣋⣏⣩⣏⣭⣩⣫⣽⣉⣙⣝⣝⣉⣉⣝⢽⣏⠍⡯⣉⣿⣽⣉⣍⣙⣍⣫⣍⣉⣩⣭⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 3817

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/11/05/Meme_Sweaty_Under_the_Belly.shtml
    Gemini version at https://techrights.org/n/2024/11/05/Meme_Sweaty_Under_the_Belly.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ [Meme] Sweaty Under the
Belly⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Nov 05, 2024


   🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Attack_RMS;_Make_sourcehut_better;_OK,_my_critics_are
                                   'spam'⦈_




⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⢟⣛⣛⣛⣛⣯⣭⣭⣭⣵⣶⣶⣦⣄⢻⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠟⣛⣛⠋⢻⣏⢩⢑⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢻⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⢛⣛⣋⣭⣭⣭⣶⣶⣶⣾⣿⣿⣿⣿⣿⣶⣧⠹⣇⢻⣿⣿⣿⣿⣿⣿⣿⣿⠹⠙⠉⢎⣂⣘⣿⣿⣿⣿⣿⣿⣿⣧⡹⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣿⡿⠿⢛⣛⣋⣭⣭⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣧⠹⣆⢻⣿⣿⣿⣿⣿⣿⣿⣾⣿⠿⣿⠟⣿⢹⠋⢹⢁⣅⣀⣿⣿⣷⡘⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣇⢋⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⣛⡻⡏⢻⡇⠸⣄⣛⡚⣿⣿⣧⢹⣆⢻⡟⠛⠝⡹⢉⣇⣢⣳⣼⣤⣾⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡌⢿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣿⡎⢿⣿⣿⣿⣿⣿⢿⡿⣿⠿⢿⡟⣛⡇⠏⣽⣿⡌⣭⡐⢇⢣⣡⣇⣧⣭⣵⣿⣿⣿⣧⢻⣆⢳⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⢻⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣿⣿⡜⣿⣿⡏⡎⢻⡔⡆⢶⢨⠄⢆⣛⣱⣴⣬⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠹⣆⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠕⠀⠀⠠⠌⠙⢿⣿⣿⣿⣆⢻⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣿⣿⣷⡘⣿⣃⣾⣧⣵⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢹⣎⢿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠡⠀⠀⠀⠀⠀⠐⠈⢿⣿⣿⣿⣆⢻⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀
⠀⣿⣿⣿⣷⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢻⣎⢿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠠⠀⢸⣿⣿⣿⣿⣧⢻⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀
⠀⣿⣿⣿⣿⣧⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡻⠉⠀⠄⠈⠉⠙⠿⣿⣿⣿⣿⣿⣿⣿⣇⢻⣎⢿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠁⠀⠀⠀⠀⠀⠁⣸⣿⣿⣿⣿⣿⣧⢻⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀
⠀⣿⣿⣿⣿⣿⡆⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠎⠐⠠⠀⠀⠀⠀⠑⠠⠙⣿⣿⣿⣿⣿⣿⣿⣆⢻⡎⢿⣿⣿⣿⣿⣿⣿⣦⡀⠠⠀⠈⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣧⢻⣿⣿⣿⣿⣿⣿⡿⠆⠀⠀⠀⠀
⠀⣿⣿⣿⣿⣿⣿⡌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡎⢿⡌⢿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⠿⢟⣃⣤⣿⡿⠟⣛⣭⣴⣾⣿⠀⠀⠀⠀
⠀⣿⣿⣿⣿⣿⣿⣷⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠄⠀⠀⠀⠀⠀⠀⢠⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡌⣿⡜⣿⣿⡏⣶⣦⣝⡻⠿⣿⣿⣿⣿⣿⡿⠿⣛⣩⣵⣶⡿⠟⣛⣭⣴⣶⣿⣿⣿⣿⣿⠿⠀⠀⠀⠀
⠀⣿⣿⣿⣿⣿⣿⣿⣧⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠈⠀⠐⠒⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡘⣿⡘⣿⣧⡹⣿⣿⣿⣷⣶⣬⣍⡉⢴⣾⠿⠟⣋⣭⣴⣾⣿⣿⣿⣿⣿⠿⢟⣋⣥⣶⣿⠀⠀⠀⠀
⠀⣿⣿⣿⣿⣿⣿⣿⣿⣇⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⣀⠀⠀⢀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡸⣷⡸⡉⠿⣂⣉⡛⠿⣿⣿⣿⣿⣦⡐⣾⣿⣿⣿⣿⣿⡿⠟⣛⣭⣴⣾⣿⣿⣿⣿⣿⠀⠀⠀⠀
⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀
⢸⣿⣿⣿⣙⢹⣿⡿⣻⢝⣫⣏⣭⣿⡫⣯⣽⡯⣏⣿⣭⡯⣿⣝⣽⢝⣿⣿⣭⡯⣿⣿⡯⣏⡯⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣽⣿⣿⣿⣿⣿⣿⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣛⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠀⠀⠀⠀
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣯⣿⣿⣯⣭⣯⣿⣿⣿⣿⣿⣯⣯⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣿⣥⣿⣦⣭⣿⣿⣿⣿⣿⣿⣯⣿⣯⣿⣿⣭⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀
⢸⣿⣿⣿⣯⣿⣿⣿⣿⣿⣟⣯⣿⣟⣿⣽⣾⣿⣿⣿⣿⣽⣫⣭⣿⡿⢿⣹⣽⣽⣿⣿⣿⣿⣿⣿⡯⠿⣋⣽⣯⣭⣿⣿⢿⣿⣽⣿⣯⣿⣿⣻⣿⣹⣏⣍⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀
⢸⣿⣿⣿⣿⣿⣯⣿⣹⣭⣽⣯⣯⣿⣿⣽⣿⣯⣿⣯⣿⣿⣻⣿⣯⣿⣿⣸⣿⣿⣷⣿⣽⣳⣿⣶⣾⣿⣿⣽⣾⣯⣯⣿⣼⣽⣿⣹⣿⣯⣿⣿⣽⣿⣿⣿⣿⣽⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆
⢸⣿⣿⣯⣯⣿⣿⣿⣿⣿⣿⣿⣟⣟⣿⣿⣿⣿⣯⣿⣿⣿⣿⣯⣿⣿⣽⣿⣟⣫⣿⣿⣟⣿⣽⣿⣟⣟⣿⣻⣟⣹⣯⣿⣻⣻⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⢸⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣟⣿⣿⣻⣿⣿⣿⣿⣿⣻⣻⣻⣿⣯⣿⣿⣻⣿⣿⣿⣿⣿⣿⡛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⣀⣉⣉⣉⣉⣉⣉⣀⣀⣀⣀⣀⣀⣈⣉⣁⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣁
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢤⣄⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣫⣭⣽⣶⠶⠆⢻⣿⢸⣭⣭⣲⣤⡀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣷⣶⣿⡏⣾⡿⣼⣿⣿⣿⣿⢏⡾⡙⣿⣿⣿⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣷⣶⢰⣟⣽⣿⣿⡿⢟⣫⣾⣷⣾⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⢣⣫⣾⡿⣛⢭⣾⠉⣿⣿⡀⠈⠙⠻⠿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⢣⣿⠟⠁⠊⢠⣿⣿⣿⣿⣿⣿⣷⣶⣤⣀⠀⠙⡇⡜⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⡿⣿⣿⣿⣿⣿⢣⣿⠋⠀⣠⣴⣿⣿⣧⠻⣿⣿⣿⣿⠃⣀⣀⡉⠀⣼⣶⢋⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣮⣻⣿⡿⣱⣿⠃⢀⣾⠟⠋⠀⢻⣿⣡⣿⠟⣿⡟⠀⠉⠙⠿⢧⣟⣻⣷⣾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣱⣿⢣⣇⢾⣯⢠⡏⢁⢠⡇⣿⣧⣴⣿⣿⣿⣿⣿⣭⣥⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⣰⣿⢏⣾⡿⣸⣿⣿⣈⣥⡾⣱⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣈⣿⡿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣀⣤⣤⣬⣭⣟⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⢠⣿⢏⣾⣿⢡⣿⣿⣿⣿⣿⢕⠿⣿⣿⡿⠿⣎⣿⣿⣿⣿⣿⣿⡿⠟⣡⣿⣇⠀⠀⣰⡿⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⠀
⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣦⡙⢿⣿⣿⣿⣿⣿⠋⠀⠀⣾⡟⣼⣿⣿⡎⢿⣿⣿⣿⡿⣱⣷⣤⣤⣿⣿⣿⣝⢿⣿⣿⣿⡏⢰⣾⣿⣿⣿⣦⣀⡿⠁⠙⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⣡⣾⣿⣿⣿⠀
⠀⣴⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⢻⣿⣿⡿⠃⠀⠀⢠⡿⣼⣿⣿⣿⣿⣦⢹⣿⣿⠱⢋⡭⢭⡵⠒⠦⠙⢿⣧⡹⣿⣿⡇⣾⣿⣿⣿⣿⣿⣿⣧⠹⡀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⢏⣼⣿⣿⣿⣿⣿⠀
⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⣿⣿⣿⣿⣧⢻⡟⠁⠀⠀⠀⢸⣷⣿⣿⣿⣿⣿⣿⡌⣿⣿⡤⠋⠰⣖⣚⣛⣛⣒⣊⣙⣷⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣳⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⢏⣾⣿⣿⣿⣿⣿⣿⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⡌⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣇⢻⣿⣧⣞⠛⠋⠉⢉⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡏⣼⣿⣿⣿⣿⣿⣿⣿⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠘⠛⠋⠉⠉⠛⣿⣿⣿⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⢱⣿⣿⣿⣿⣿⣿⣿⣿⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⢿⡷⣻⣿⣿⣿⡿⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣣⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣏⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠉⠁⣀⣼⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠘⠿⠎⣛⣛⣋⣭⣭⣭⣭⣤⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠉⠁⣀⣀⣠⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⣀⡴⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠉⠉⠉⠁⣤⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢇⡄⠀⠰⠟⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣧⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡫⠊⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⣿⣿⣿⣿⣿⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣇⣿⣶⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡫⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠧⠻⣿⡿⠿⢿⣿⣿⣿⢿⣿⣿⠿⠿⠋⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢠⣶⢶⣆⢰⡆⣴⠆⠀⠀⢰⣶⡆⣶⣶⢲⡆⣶⠂⠀⣴⠶⣦⢰⣶⢶⡆⢰⡆⠶⣶⡶⢰⣶⢠⣶⢶⡄⣴⡶⣶⠘⡏⣰⣶⡆⢰⣶⢶⡄⣶⡶⠆⠀⣶⢰⡶⣶⡄⣶⡶⣦⢰⣶⣆⢰⣶⡆⣶⣶⢰⡆⠀⠀⠀
⠀⠀⠀⢸⣿⢸⣿⢸⣷⣿⠀⠀⠀⢸⡟⣷⣿⣿⠈⣿⡏⠀⠀⣿⠀⣛⢸⣿⢾⡇⢸⡇⠀⣿⡇⢸⣿⢸⣿⢘⡃⠙⢷⣦⠀⠁⣿⢹⣧⢸⣿⢾⡇⣿⡷⠆⠀⠀⠘⠿⣦⡀⣿⡷⠿⢸⡇⣿⠈⣿⣷⡟⣿⠀⠀⠀⠀⠀
⠀⠀⠀⠘⢿⣼⠏⢸⡇⢿⡆⣤⠀⢸⡇⢿⢹⣿⠀⣿⡇⠀⠀⢿⣴⡿⢸⣿⢸⡧⢸⡇⠀⣿⡇⢸⣿⠸⣿⣼⠇⠻⣧⡿⠃⢀⣿⠛⣿⢸⣿⢸⡇⣿⣧⡄⠀⠀⠸⣧⣿⠇⣿⡇⠀⣿⡟⣿⡆⣿⢸⡇⣿⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 3897

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/11/05/Meme_The_2024_Info_Bros.shtml
    Gemini version at https://techrights.org/n/2024/11/05/Meme_The_2024_Info_Bros.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ [Meme] The 2024 'Info
Bros'⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Nov 05, 2024


How it used to be:


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Checks_information;_Looks_up_files_(prehistoric_googling)⦈_


How it is now... (sadly):


  🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Some_idiot_said_that_immigrants_eat_dogs,_put_that_into
                  google_and_found_pages_that_confirm_that⦈_


If it's in Google, then_it's_true. Someone... somewhere... wrote about it.




⣿⣿⣿⣿⣿⠏⣴⡶⣶⡄⣶⣶⢰⣶⢰⣶⣶⠆⣴⡶⣶⡄⣶⣶⣰⡶⣴⡶⣶⣆⢻⢰⣶⡆⣶⣆⣶⡆⣶⣶⣶⢠⣶⢶⣦⢰⣶⢶⣶⠀⣶⣶⢰⣶⣶⢠⣶⣶⡶⣶⣶⣶⢶⣶⡆⣴⡶⣶⡄⣶⣦⢰⣶⢹⣿⣿⣿⠀
⣿⣿⣿⣿⣿⠀⣿⡇⠟⠇⣿⣿⣾⣿⢸⣿⣧⡄⣿⡇⠟⠇⣿⣿⣿⡃⠻⣿⣯⡉⣾⢸⣿⡇⣿⣿⣿⡇⣿⣿⣤⣾⣿⢸⣿⢸⣿⣿⣿⠀⣿⣿⣾⣿⣿⢸⣿⢿⣇⢸⣿⡇⢸⣿⡇⣿⡇⣿⡇⣿⣿⣾⣿⢸⣿⣿⣿⣤
⣿⣿⣿⣿⣿⠀⣿⣇⣿⡇⣿⣿⢸⣿⢸⣿⣇⡀⣿⣇⣿⡇⣿⣿⣿⣧⢶⣶⣻⣿⢠⢸⣿⡇⣿⡿⣿⡇⣿⣿⠀⢻⣿⣸⣿⢸⣿⣿⣿⠀⣿⣿⣿⢸⣿⣼⣿⢾⣿⢸⣿⡇⢸⣿⡇⣿⣇⣿⡇⣿⡟⣿⣿⢸⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠀⢉⣛⣋⣥⠉⠉⣈⣉⠈⣉⠉⠁⣉⣛⣋⣤⣉⢉⣈⣉⣨⣙⡋⣥⣞⣬⡉⣁⠉⠁⠉⠁⠉⠉⠀⠈⠙⠋⠁⠈⠉⠉⠉⠀⢉⣉⣉⠈⢉⢉⣉⣈⣉⣈⣉⣁⣈⣉⣁⣉⣛⣉⣀⣉⣁⣉⣉⣠⣬⣽⣿⣿
⢡⣿⣿⣿⡇⠀⡘⣿⣿⣿⠀⣴⣿⣿⢠⣗⣦⣰⣼⣿⣿⣿⣿⣿⣿⣿⡏⣸⣿⡿⢿⣿⣯⣿⣿⣿⣶⣿⣷⣶⣔⣒⡲⠶⠐⠖⠲⠶⠖⠚⠉⠉⣙⡻⢿⢾⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠉⠉⠍⣠⣾⣷⣿⣿⣿⣶⣿⣿⣿⡽⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣷⣿⣿⣗⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⠄⠀⠀⠀⠀⠀⠀⠘⠿⣃⣼⠆⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠙⡛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢑⣿⣿⣿⡿⣿⣏⣭⣿⣿⠛⣿⣿⢾⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠈⠂⢤⣀⢈⣷⣤⡀⠲⣿⠳⡀⠀⠂⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡀⠀⣠⣾⣿⣿⣿⠉⣻⣿⣿⢏⣿⣿⡇⠘⠛⠻⣿⣿⣿⣿⣿⣿⣿⣾⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠨⠟⠙⢿⡷⠀⠀⠀⠀⠂⠀⠀⠀⠀⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣷⢶⣿⣿⣿⣿⣿⣧⣼⣿⡋⠀⢉⣋⡄⠀⠀⠀⢿⣿⣿⣿⣿⣿⢿⢿⣿⣾⢿⣿⣽⣿⣇⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⣶⣶⣦⡤⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡇⠈⠉⢩⣿⣿⣯⡛⠛⢹⣷⠀⠀⣦⣥⠀⠀⠀⢸⡟⠙⣛⣡⡛⣻⣿⠿⣿⣿⡿⣿⣿⡯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡿⢿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣔⢄⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡇⠀⢠⣿⣿⣿⣿⡇⠀⣿⣿⣦⣾⣿⣿⣧⣤⣤⢨⣧⢀⣴⣾⣻⣿⣿⣿⣟⣫⣿⣿⣿⣧⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⠉⠉⣻⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠘⠷⣿⣶⣶⣦⡀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣷⣤⢾⣿⣿⣿⣿⡆⠀⣿⣿⣏⠬⣽⣿⡏⠉⠁⢸⣿⡿⣿⣿⡿⣸⣿⣿⣿⣿⡿⣿⣿⡟⠃⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⡿⢿⡇⢘⣿⣻⣿⣿⣿⣿⣿⣿⣿
⣿⣷⣿⣿⣿⣿⣿⠁⠀⣿⣿⣿⣹⣿⣿⡇⠀⠀⢸⣿⣷⡏⢈⣱⡿⢿⣿⣿⣧⣬⣝⣿⠿⠄⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡿⠿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⢀⠀⠀⡄⠁⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡿⣽⣿⣿⠀⠀⢿⣿⣿⣿⣿⣿⣿⠀⣺⣿⠛⣿⣿⡛⣿⣤⣏⣛⣽⣥⢦⣿⣻⣦⢾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣌⠮⠿⠛⠉⠀⠀⠀⠀⢠⣤⣄⡀⢠⠈⠁⣠⣶⢷⣾⣿⣿⣤⡙⠻⣿⣿⣿⣿⣿
⣿⣿⠟⢴⣿⣿⡟⠀⢠⢸⣿⣿⣿⣿⣿⡿⠀⣿⣿⣼⣿⣿⢠⣿⠃⡞⣿⡿⠛⠚⢻⣿⠙⡃⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠡⡀⠔⠻⣿⣿⣿⠃⡄⢦⣴⣾⣿⣿⣿⣿⣍⡉⠢⡈⠙⢿⣿⣿
⣿⢋⡀⠀⠉⣉⣤⠀⣿⠈⢹⣿⠏⠈⢉⣥⢸⢻⣿⣿⣿⣿⢸⣿⡆⣣⡟⡗⡛⡛⡞⣁⣂⠃⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⡈⣻⡿⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⢹⣦⡀⢸⣿
⣷⣿⡇⠀⠀⢠⣄⣼⣷⠆⢸⣟⣆⠀⢰⣶⠓⠘⢻⠟⢛⣋⡜⠛⡭⢙⣽⣷⢳⣷⣿⢿⣿⣷⣦⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢭⢤⣶⠿⣿⠿⢛⣿⣿⣿⣿⣿⣿⣿⣿⣾⢻⠟⠀⣿
⣿⣿⣿⣀⣠⣿⣿⣿⣿⣄⣠⣾⣿⣶⣿⣿⡀⠀⢸⡄⣰⣶⣧⣿⣥⣮⣛⣛⣸⣿⣇⣻⠇⠉⠻⣟⣋⣛⣛⣿⣿⡿⠿⠿⠟⠃⠀⠀⠀⠀⠀⠀⣀⣄⠀⠀⠀⣰⣿⣿⡇⠀⢁⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⢀⣿
⣿⣿⣿⡟⠹⠿⢿⢿⣿⠿⠿⢿⣿⣿⣿⣿⣿⠁⣿⡏⢻⣿⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣆⡀⢠⣿⣿⣿⣿⣿⣿⣿⣤⣤⡄⠀⠀⠀⠀⣀⣴⣾⣿⣿⡀⠀⠀⠈⠉⠉⠀⣀⠋⣡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣸⣿
⣿⣿⡿⠁⠀⢰⣿⣿⣿⡄⠀⢸⣿⣿⣿⣿⣿⣤⣿⣧⣿⣿⡇⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣀⠀⣀⣀⣤⣤⣾⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿
⣿⡿⠁⠀⢀⢪⣿⡿⣹⡇⠀⢸⣿⡏⠉⣽⣿⢩⠉⣿⣿⣿⠏⠙⢣⣿⣿⣿⣿⣿⣿⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⢠⣤⣍⠻⢿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿
⣿⢁⣴⣴⢧⣿⡿⢱⢻⠇⠀⢸⣿⣇⣴⣿⣿⠈⠀⣿⠉⠭⠄⣼⣿⠿⠿⠿⠿⠿⠿⠷⢾⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⢀⣿⣿⣿⣷⣆⡻⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿
⣏⣾⣿⣿⣿⣿⢡⣿⣼⠀⠀⣸⣿⣿⣿⣯⣷⡄⠀⣧⣴⣿⣤⣿⣇⣀⣀⠀⠀⠀⠀⠀⠀⠈⠙⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣋⠉⠁⠉⠀⠀⢀⠸⣿⣿⣿⣿⣿⣷⣾⣿⡿⠁⠀⠉⠻⣿⣿⣿⣿⣿
⣿⣰⣯⣿⣿⠃⠙⠿⠏⠀⢠⣿⣿⣿⡟⠻⠿⡁⢀⢻⠇⣼⣿⠎⡏⠉⠁⢀⣀⣄⣀⠀⠀⠀⠀⠀⠀⠈⠉⢉⣟⣛⡛⢛⢿⡻⢿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣤⣜⢷⣝⣿⣿⣿⣿⣿⣿⡿⠃⠀⠠⢶⣶⣾⣿⣿⣿⣿
⠻⢿⣿⣿⠃⠀⠀⠀⣀⣁⣿⡟⠛⣿⠁⠀⣠⣥⡐⣿⣿⣿⡿⢀⣇⡄⡀⠸⢧⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠈⠓⠟⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⣽⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠙⠯⣿⣿⣿
⠀⠀⣿⠏⠀⠀⠀⣠⣿⣿⣿⣷⣴⣿⣷⠰⠿⣿⣿⢿⣿⠻⢏⣸⢉⣱⣷⠀⠸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠉⢿⣿⣿⣿⣿⣿⡟⣇⢻⣿⢿⡿⠋⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿
⠀⠀⠏⠀⠀⢀⣼⣿⣿⣿⣻⣿⡃⠄⡈⠀⢰⡏⠀⠀⡇⣠⣆⠘⢸⣿⠿⠿⠿⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠘⠻⠻⠿⠇⢹⣄⣿⡞⠁⠀⠀⠀⠀⠀⠀⣤⣤⣽⣿⣿⣿⣿
⠀⠀⡀⣀⣤⣼⣿⣿⣿⣿⣿⣿⣷⣠⣃⣜⡾⢠⡆⢀⣳⣿⣿⠀⣿⣿⡄⡀⢀⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉
⡄⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⠇⠸⣿⠿⡿⠿⠿⢿⡟⠇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠁⠀⠈⢽⢻⣿⣿⣿⠀⠀⢰⡟⠀⠀⠀⡟⠀⢀⣂⡆⠏⣀⠇⠀⠀⠘⠇⠖⠀⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⠂⢘⠋⣿⣿⣿⡇⠀⠀⣿⠣⣾⠀⢸⣷⠄⣿⣿⣿⣿⣿⢷⡆⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠
⠏⢀⣞⣾⣿⣿⣿⣧⣼⣼⣏⣄⣠⠀⠈⠀⡆⠀⣿⣐⠂⡈⢠⣄⣀⡀⠀⠐⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿
⠀⢸⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⡏⠀⠀⣼⣡⣾⣋⡙⠀⠃⢹⠛⠛⢃⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿⣿
⠀⢸⡿⠏⠿⣿⣿⣿⣿⠃⠀⢀⡐⡀⢀⡟⢙⣛⠻⠟⣀⣀⡘⠀⣀⣀⣀⠈⣀⡀⣀⣀⢀⣀⣀⠀⠀⢀⣀⢀⣀⢀⣀⣀⣀⠀⠀⣀⣀⣀⣀⣀⢀⣀⠀⢀⣀⣀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣟⣿⣿⣿
⠀⣿⢀⠀⠀⢿⣿⣿⣿⣀⠀⣼⣿⣷⣾⣧⢸⣿⠀⢸⣿⢹⣿⢰⣿⣿⣿⡆⣿⣧⣿⠇⣿⣏⠿⠇⠀⢸⣿⢸⣿⢸⣿⡏⣿⡆⠀⣿⣿⠛⣿⣿⢸⣿⠀⢸⣿⠛⢸⣿⡹⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿
⠀⢉⡈⠁⠀⠈⠉⣿⠿⠟⠀⢛⡛⢛⠛⠏⢸⣿⠀⢸⣿⢸⣿⢸⣿⣿⣿⡇⣿⣿⣿⡀⣙⡻⣿⡆⠀⢸⣿⢸⣿⢸⣿⡿⠛⠁⠀⣿⣿⠃⣿⣿⢸⣿⠀⢸⣿⠛⢀⣙⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⢮
⠀⣼⠃⠀⠀⠀⢀⡟⢠⠀⠀⣾⢳⣿⠀⠀⢸⠿⢶⠸⢿⣾⠟⡘⠿⣿⠿⠃⠿⠇⠿⠧⠻⣷⡿⠇⠀⠘⢿⣾⠿⠸⠿⠇⠀⠀⠀⠿⠿⠀⠿⠿⠸⠿⠶⠸⠿⠶⠞⠿⣾⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠛
⣼⣿⣶⣶⠀⠀⠀⠀⠈⢀⣠⣏⣸⣿⠀⠀⠀⣶⡶⠀⣆⢠⠌⠹⡆⢠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀
⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠒⠒⢿⣿⣿⣿⡇⠀⠀⠁⠀⠀⠀⣠⣾⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠈⠻⡷⣿⠁⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠐⠒⠰⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣰⣛⢿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⢳⣿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠠⠤⠤⣿⣿⣿⣿⡇⠀⠀⠀⠀⢀⣛⣛⣻⣿⡷⠶⠿⢿⣵⠀⠀⠀⠀⠀⠀⠐⢿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢠⡆⠀⠀⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⠠⠤⢤⣿⣿⣿⣟⠃⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣷⣶⣾⣿⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢛⣛⠛⠛⢿⠿⢿⣿⣿⣷⣼⡇⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⡇⢸⣿⣿⣿⣿⣿⣿⣧⢀⣀⣀⣿⣿⣿⣿⣷⣶⣤⣁⠀⢸⣿⣿⣧⣭⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⠀⣨⣿⣿⠉⠿⠁⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣯⢀⣀⣀⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⣿⡶⡷⢽⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⢿⡿⣿⠙⣿⣿⡿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⡟⠀⠉⣹⣿⣿⣿⣿⣿⡿⣿⣿⣿⠀⠸⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⢶⡏⣴⣿⡿⠁⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣆⠀⠈⠁⠀⠀⠀⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡿⢺⣿⣿⣿⣥⣤⣄⣀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠛⠻⣿⣿⢇⣼⣶⣄⠀⠹⣿⡿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣷⣿⣿⠏⢸⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠏⠂⠀⠀⠀⠀⠀⠉⠻⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠉⣩⣿⣿⠋⠀⣽⣿⣿⣿⣿⠁⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⡶⢞⣛⠁⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣾⣿⣿⡇⠀⠀⣿⣿⣿⣿⡟⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣛⡉⠁⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣏⢸⠀⠀⢰⣿⣿⣿⣿⣿⠆⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠈⣠⣴⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣏⠀⠀⣾⣿⢿⣿⣿⡏⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣶⡄⠁⠁⣹⡟⠁⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢛⣠⣶⣿⣿⣷⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣷⣤⡈⠀⢀⡀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠈⠛⠛⠟⢛⠿⠻⠿⠻⠟⠀⠐⠛⠛⠿⠿⠿⠿⠿⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢘⣯⢸⣿⢸⣿⣿⡯⢸⣿⣿⣿⣿⣿⡎⡏⢘⣯⣸⣿⣿⣿⣿⠈⡏⣿⣿⣾⡏⣿⠀⡇⣿⣿⢸⣿⡇⡇⡯⣿⣿⣻⣿⢸⣿⢹⢙⣯⡁⣿⢽⣿⢹⠁⣿⣿⣿⣿⣿⣇⡿⡅⣿⣿⣿⣿⣿⣿
⠻⠿⠟⠟⠿⠿⠛⢿⣿⣿⣮⡉⠈⠉⠈⠉⠉⠉⠈⠉⠉⠉⠉⢉⣀⣁⣈⣉⣉⣈⣉⡉⠉⠀⠁⢉⣉⡉⠉⣉⣀⣥⡉⠉⠈⠉⠁⠁⠉⠉⠉⠉⠈⠉⠉⠈⠈⠉⠀⠉⠉⠈⠈⡠⠉⠉⣬⣥⣭⣥⣭⣥⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⢿⠿⠿⣿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⢿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣦⣄⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠛⣲⣿⣿⣇⠀⠀⣿⣿⣿⣿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣿⢾⡇⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠒⠀⠿⣿⣿⣿⣯⠀⠀⣿⣿⣿⠋⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠙⢾⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠏
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠤⠤⣾⣿⣿⣿⣿⠀⠀⡟⠓⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠃⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣶⣶⣦⣦⡄
⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠤⠤⣾⣿⣿⣿⣿⠀⠀⡷⠀⠀⠀⠀⠀⢠⣾⡿⢿⣿⣿⡿⠿⢷⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣤⣤⣿⣿⣿⣿⣿⡇
⢠⡆⠀⠀⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣀⣀⣼⣿⣿⣿⣿⠀⠀⠁⠀⠀⠀⠀⢠⣿⣍⣍⣸⣿⣷⣒⠚⢳⡀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⣉⣉⣿⣿⣿⣿⣉⡀
⣸⡇⠀⠀⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⠀⣿⣿⣿⣿⣿⣿⣿⠀⣀⣀⣸⣿⣿⣿⣿⠈⠀⠃⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣉⣉⣉⣿⣿⣿⣿⡉⠁
⠿⠃⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣹⣿⣿⣿⣿⣶⣶⣿⡁⠀⠀⠀⠙⣿⣿⣿⣿⣭⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⠛⠛⣿⣿⡟⠛⠙⠁
⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⠀⠉⢉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⣿⣿⡷⠦⠏⣻⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⢛⣻⣿⣿⣿⡛⠻⠇
⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⠀⠛⣾⣿⣿⣿⣿⡟⢛⣿⣿⢻⣿⠏⠀⠀⣿⣿⣿⣿⠾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⣿⠿⠿⠖⠂
⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣴⣾⣿⣥⣾⣾⣿⣿⣿⣿⠇⠀⠉⠀⠀⠀⣿⣿⣷⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠷⠶⠶⠶⠶⠶⠶⠶⠶⠆
⣿⡆⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⢻⣿⠏⠀⠀⠀⠀⠀⣀⡙⠻⠿⠟⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠷⠶⠶⠶⠶⠶⠶⠤⠤⠶⠄
⣿⠁⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣈⣭⠄⠀⢄⣵⣿⢿⣿⣿⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄
⣿⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣥⡴⠚⠈⠛⠉⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⡀
⣿⡆⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀
⡿⠁⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢫⣭⣻⣭⣭⣭⡟⣯⣭⣥⣡⢠⣤⣤⣤⠀⡄⣄⣤⣤⣤⣠⣍⠀⣠⣄⢠⣄⢀⣤⣀⣤⡀⣤⢠⣤⠀⣤⡜⣍⣭⣭⣝⢻⣿⣿⣿⣿⣏⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⠁
⠁⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡟⢻⣿⡇⣿⢸⢸⡇⣿⣻⢸⣿⣸⡇⠀⡇⣿⣿⢸⡇⣿⣿⠀⣿⣿⢿⣸⢸⣿⣿⣗⡇⣿⣸⣗⢀⣯⡇⡿⣿⣿⣿⢸⣿⣿⣿⣿⣏⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⠇
⠀⡀⠀⠀⠋⠉⠉⠉⠉⠉⠉⠉⠻⣛⡛⢛⠻⣛⣊⣑⢒⢉⣀⠉⢚⣛⢁⣉⠈⣉⢈⣉⢁⡀⠁⣁⣉⣈⣁⢈⡁⣀⣈⠉⣈⠁⢀⡉⣀⢉⢁⡉⣉⣉⡈⢁⣉⣁⢍⣉⡉⡚⡛⣛⣛⣛⡛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀
⣿⡇⠀⠀⠀⠀⠀⢀⠀⡀⠀⠀⠀⣿⠅⡏⡇⣿⣿⣿⣾⢸⣿⡇⢸⠽⢸⣿⢸⢽⣿⡯⢻⣭⠀⢹⡏⣿⣿⣸⣿⢹⡏⢸⣟⡃⡏⣿⣿⣿⢸⠍⣿⣿⣿⣿⣿⣿⠈⣿⢹⡷⡇⣿⣏⣿⠁⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠀
⣿⡇⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠛⣀⣛⣃⡙⣋⣛⣙⢘⣛⠁⠘⣁⣛⣙⠚⠛⠛⠛⠙⠛⠀⠘⠃⠛⠛⠛⠙⠘⠃⠊⠛⠁⠙⠋⠛⠛⠘⣀⠛⢛⠛⠙⢙⠛⠀⠛⠈⠃⢛⣋⣛⣛⣼⠛⠒⠒⠒⠒⠒⠒⠒⠒⠒⠀

                    ䷩ 𝚕𝚒𝚗𝚎 4006

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/11/05/Microsoft_Bribing_Canonical_to_Stop_Competing_and_Bribing_Users.shtml
    Gemini version at https://techrights.org/n/2024/11/05/Microsoft_Bribing_Canonical_to_Stop_Competing_and_Bribing_Users.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Microsoft Bribing Canonical (to Stop
Competing) and Bribing Users to Shun the
Competition⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Nov 05, 2024


Canonical is worth shunning if you value Software Freedom: (part of a
longstanding_pattern, Ubuntu helps proprietary surveillance-ware spread)


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


How to increase one's debt by playing lottery:


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Microsoft_has_reached_$1M_giveaway_levels_of_desperation_to
                            attract_users_to_Bing⦈_


They've already tried this several times before and it never worked (they
mostly received very negative publicity for it). █




⠀⢀⠠⠠⡄⠀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀
⠀⠀⠀⠀⠀⢰⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠒⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠂⠀⠀⠀⠠⠀⠀⠀⠀⠠⠀⠤⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢸⣻⢻⢺⣟⡟⣿⡟⡟⣟⢻⣿⡇⣻⢛⡛⡟⣿⣿⢈⠟⡌⡗⡟⣛⡟⣿⢻⡻⡛⣿⢛⡛⡇⣻⢙⣿⡇⡿⣻⢻⢻⡻⡗⡏⣻⠻⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣯⣥⣾⣬⣼⣼⣼⣧⣿⣧⣥⣯⣥⣿⣧⣿⣮⣵⣧⣿⣿⣼⣾⣧⣧⣧⣭⣧⣿⣬⣵⣭⣼⣮⣵⣧⣿⣬⣽⣧⣷⣚⣸⣼⣧⣧⣧⣽⣬⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣷⡀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣾⣧⣷⣤⣭⣷⣦⣵⣵⣿⣷⣤⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣷⣞⣟⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⡀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⣘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡿⣿⣛⣿⣟⣿⠻⣟⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣾⣾⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⣹⣿⣿⣏⣯⣸⣟⣿⣏⣹⣟⣿⣿⣋⣿⣿⣿⣉⣉⣿⣿⣿⣿⣿⣏⣙⣿⣹⣈⣹⣿⣟⣹⣭⣻⣿⣿⣿⣻⣿⣽⣏⣿⣿⣋⣹⣹⣏⣿⣿⣿⣟⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣟⣻⣿⣻⣿⣛⣿⣿⠿⣟⣛⡿⣿⠛⡿⣯⢻⢿⢛⣿⠿⡻⡿⡟⠻⡻⣿⣟⡟⣿⡯⡿⣿⢿⢽⢿⡽⡯⠿⡿⣿⢿⢟⢿⣟⡿⣟⢹⢟⣻⢿⢟⠛⣻⣿⣻⢿⢻⣟⣻⡟⢟⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡿⣿⣿⠿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡟⢿⣿⣿⡟⣿⠿⣿⣿⣿⣿⣿⢿⢻⢿⢿⠿⠟⠛⠉⠛⠛⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⢿⢿⣿⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣷⣼⣧⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⢿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⡿⣿⣿⣿
⣿⠈⢣⡏⡏⡭⡏⣽⢩⢹⢉⠝⢭⢩⢨⢨⣿⢨⡍⢉⢹⢉⢹⣿⢩⠋⡙⢉⢹⢩⢽⢨⢹⢉⢹⢩⢸⣿⠀⢺⡆⡇⡜⠁⣿⡏⡍⡏⡏⠏⡏⡉⢏⠹⡹⡝⠹⠉⢩⠛⣽⡇⡏⡉⡏⢏⡋⡉⢸⢉⢹⣿⢩⢹⢨⣿⣿⣿
⣿⣾⣿⣷⣿⣶⣷⣿⣶⣿⣶⣿⣶⣿⣾⣶⣿⣾⣷⣷⣷⣷⣾⣿⣾⣷⣾⣶⣷⣷⣿⣾⣾⣷⣿⣶⣾⣿⣶⣿⣶⣶⣷⣷⣿⣧⣤⣷⣿⣾⣷⣾⣷⣷⣷⣷⣿⣾⣮⣼⣿⣷⣿⣾⣿⣾⣷⣾⣾⣷⣾⣿⣷⣾⣾⣿⣿⣿
⡿⣛⢸⠻⢻⠛⡛⣛⠻⠛⠛⣻⠻⢻⢹⢺⢛⢻⢛⢻⣿⢹⢛⡛⣿⠛⢻⢹⡋⡟⡛⠛⡟⣛⡏⣿⡟⣿⡟⠛⡟⠟⡟⣻⠛⣻⡏⡟⣛⢻⣿⢉⠹⣿⢛⡛⢟⡛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣼⣼⣮⣶⣭⣆⣬⣶⣮⣦⣿⣼⣼⣼⣼⣮⣾⣼⣼⣿⣮⣶⣵⣿⣮⣮⣮⣧⣧⣷⣵⣵⣵⣷⣽⣷⣵⣵⣵⣷⣵⣧⣷⣭⣾⣷⣵⣮⣾⣿⣬⣴⣿⣼⣧⣆⣢⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⢻⢿⠟⠛⠿⠿⡟⢿⠻⣿⢻⠿⢻⣟⡟⡟⠿⠿⠿⢟⢿⠻⠿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⠿⠿⠿⠿⡿⢿⣿⣿⠿⡿⠿⠿⡿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣷⣷⣿⣶⣶⣷⣤⣷⣾⣶⣿⣾⣶⣾⣾⣶⣷⣷⣾⣶⣿⣾⣾⣾⣷⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣷⣷⣷⣶⣿⣾⣿⣿⣿⣿⣷⣿⣾⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⠿⣿⣿⣿⣿⢿⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⢿⠿⢿⣿⡿⡿⡿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣶⣷⣷⣶⣷⣿⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣾⣷⣿⣾⣾⣾⣿⣷⣾⣾⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⣿⣿⣿⡿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣷⣶⣼⣦⣿⣮⣿⣼⣶⣶⣮⣧⣽⣾⣯⣼⣵⣽⣼⣦⣴⣥⣦⣤⣼⣼⣯⣾⣴⣴⣮⣦⣿⣶⣯⣼⣼⣤⣿⣤⣧⣬⣿⣬⣧⣽⣿⣾⣴⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣧⣴⣦⣤⣼⣤⣬⣤⣤⣧⣤⣽⣼⣦⣤⣤⣧⣷⣴⣧⣼⣤⣿⣥⣧⣦⣧⣼⣦⣤⣧⣥⣬⣦⣤⣧⣤⣸⣾⣼⣤⣴⣼⣤⣭⣤⣤⣼⣤⣤⣧⣽⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 4082

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/11/05/Oppose_the_Fascist.shtml
    Gemini version at https://techrights.org/n/2024/11/05/Oppose_the_Fascist.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ "Oppose the
Fascist"⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Nov 05, 2024,
updated Nov 05, 2024


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


Richard M. Stallman (RMS) typically backs the Green Party, but this time he
openly says Americans should vote for Harris. For 'strategic' reasons (keeping
what he calls "the fascist" out of Office).


Later today over a hundred million Americans will leave their home and cast a
vote (some already voted some other way). Here's what_the_founder_of_GNU/Linux
said:


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


Well, yesterday we said why_it_seems_pointless_to_"endorse"_presidential
candidates_in_a_technical_site. But we can generally address and agree with
what RMS said above. Trump is not a "populist". He never was. █


    🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Bill_Gates,_Ivanka_Trump_in_India_for_pre-wedding_of
                              billionaire’s_son⦈_




⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⣠⣶⡾⠿
⠀⠀⠀⠀⠈⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠂⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠯⠛⣽⣿⣿⣿⣿⣿⣿⣿⣟⡦⣞⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢁⣤⣾⠟⠋⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡟⠉⠉⢿⣿⣿⣿⣿⡿⢟⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⡴⣊⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢁⣼⡿⠟⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⡏⠉⠉⠙⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⢠⣿⣿⣿⡯⠙⠤⠪⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⠏⣽⡿⠋⠀⠀⣠⡤⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣢⡀⠀⠀⠀⠁⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣧⣷⣿⣿⣿⣿⣿⣿⡿⠋⠋⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣧⣤⢾⢋⣵⡿⠋⠀⠀⠀⣼⣿⠟⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢹⣿⣶⣄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡤⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢇⣿⣿⠏⣱⡿⠋⠀⢀⡄⠀⠀⣩⣶⠟⠁⠀⠀
⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡗⠀⠀⠀⠀⢿⣿⣿⡟⠀⠀⠈⢹⣿⣿⠯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠋⣢⡿⠋⠀⢀⣴⣿⡇⠀⠀⣩⣴⠿⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⣄⠀⠀⠀⠹⣿⣷⡀⠀⠀⣠⣿⣿⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡾⠋⠀⣠⣶⡿⢿⣿⣧⠶⢚⣩⣴⠾⠆⠃⠀
⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⣿⢰⡄⠀⠀⠈⠻⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⣿⣿⡋⠇⢸⣿⠷⠟⣋⣩⡴⠾⢒⠄⠀
⠀⠀⠀⠀⠀⠀⢸⢿⣿⣿⠀⠀⣿⠐⠁⣶⢀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣿⡇⡇⢸⣿⠟⢛⣉⣤⣴⡶⠒⡇⠀
⠀⠀⠀⠀⠀⠀⢸⣿⠈⣿⠀⠀⢿⠀⡀⣿⢸⣷⣸⣿⡿⠿⠿⠿⣶⣶⡶⣻⣿⣧⠀⠀⠀⠀⠀⠀⢠⣭⣤⣤⣤⣼⣿⣿⣿⣿⡆⠀⠀⠀⠐⠀⠀⢶⣶⣶⣶⣶⣾⣿⣿⣿⣿⢀⣿⡧⠇⢸⣿⡿⠛⢉⣠⠄⢠⡆⠂⠀
⠀⠀⠀⠀⠀⠀⢸⡏⠀⣿⠀⠀⢸⢤⠊⢻⢸⣿⣿⡟⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢤⣤⣤⣤⣤⣼⣿⣿⣿⣿⡇⠀⠀⠀⠀⠂⠀⠶⠶⠶⠶⠿⢿⣿⣿⣿⣿⠀⢸⡇⠀⢸⣿⣿⣿⣿⣿⠀⢸⡇⢸⠀
⠀⠀⠀⠀⠀⠀⢸⣇⠀⣿⠀⠀⢸⠀⡀⢺⢸⣿⣿⣿⡄⠀⠀⠀⢀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠰⠶⠶⠿⠿⢾⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠺⠿⠿⠛⠛⢿⣿⣿⣿⣿⢀⣸⣇⠀⢸⣿⣿⣿⣿⡿⠖⠛⢁⣸⠀
⠀⠀⠀⠀⠀⠀⠈⠙⠳⣿⠀⠀⢸⠀⣆⣸⢸⣿⣿⣿⣿⣤⣴⣾⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠚⠛⠛⠛⠛⢻⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢘⣛⣛⣛⣛⣻⣿⣿⣿⡏⠀⢠⣾⣿⣿⣿⣿⣿⣯⣤⡀⢀⣲⣽⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⠀⣿⢸⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣙⣋⣉⣉⣉⣉⣛⣛⣛⣛⣛⣻⣿⣿⣿⣿⣏⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣹⣿⣿⣿⣷⡒⣖⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣯⣾⠀
⠛⣛⣛⣻⣷⣦⣄⠀⠀⠀⠀⠀⢸⡀⣿⢺⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣙⣛⣛⣛⣛⣉⣉⣉⣛⣛⣛⣻⣿⣿⣿⣿⣯⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣽⣿⠁⣿⣿⣷⣯⣽⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀
⠀⠒⠂⣻⣿⠿⠋⠀⠀⠀⠀⠀⢸⡇⣯⢸⢹⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣙⣛⣛⣋⣉⣛⣋⣉⣙⣛⣋⣹⣿⣿⣿⣿⣯⣽⣭⣽⣿⣯⣉⣋⣉⠉⠁⠉⣼⠋⣰⣿⣿⢹⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀
⠿⠿⢿⣏⣿⠀⠀⠀⠀⠀⠀⠀⢸⡇⣿⢸⢸⡿⡇⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠠⠀⠀⠀⠀⢿⢸⠉⠘⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢹⠀
⠀⠀⢰⣶⠀⠀⣀⣀⠀⠀⠀⠀⣸⡇⣷⢸⢸⡇⣇⡀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠧⠛⠀⠀⠀⠀⠀⠀⠀⠘⠜⠀⠀⣼⣿⣿⣿⠿⠟⣿⣿⡗⠒⠊⣿⣿⠀
⠀⠀⢸⣿⠀⠀⣿⣙⢛⠛⣶⠂⢻⠃⣿⢸⢸⡏⣷⣿⣦⡀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⠉⢩⣿⣿⡯⠿⠿⠿⠿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⣿⣿⡇⠐⠀⢿⣿⠀
⠀⠀⠀⣿⠀⠀⣿⡏⠉⢹⣿⠀⢸⢀⡏⢸⢸⡇⡿⡿⢿⣿⣦⢄⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣶⣄⣶⣾⣿⡿⠿⢿⣥⣄⠀⠀⠀⠀⠀⠀⠀⡐⠀⠀⠀⣿⣿⣿⠀⠀⠀⣿⣿⡇⠈⠀⢹⢸⠀
⠀⠀⠀⣿⠀⠀⣿⡇⢰⢸⣿⠀⣿⣾⣿⣞⠉⠁⠀⣵⣦⠀⢸⣿⣿⡟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣤⣶⣾⣿⣿⣿⣵⣿⣿⣿⡇⠀⠀⣼⣿⣿⣿⣿⣽⣶⣶⣿⣷⠃⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⠀⠀⠀⢸⢸⠀
⠀⠀⠀⣿⠀⠀⠟⠀⠉⢸⣿⢠⣿⣿⣿⣿⠀⠀⠀⣿⣿⠀⢸⣯⠈⣇⠀⠀⢸⠿⣿⣿⣿⣿⣿⡿⠟⠉⠛⠿⣿⣟⣿⡿⠿⣿⣷⣤⣀⣄⣀⣩⣿⣿⣿⠿⠟⠉⠉⠻⢿⠀⠀⠀⢸⣿⣿⣶⣦⠀⣿⣉⡀⠀⠀⠛⢸⠐
⠀⠀⠀⣿⠀⠀⠀⠀⠀⢸⣿⣿⠻⢿⣿⣶⣶⣦⣤⣴⣾⣿⣾⣿⡐⢿⠶⣶⣶⣶⣿⣿⣿⠏⠁⠀⠀⠀⠀⠀⠀⠙⢻⣧⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠈⠀⠀⣾⣿⣿⣿⡏⠀⣿⣿⣿⣿⡀⡯⠘⠀
⠀⠀⠀⣿⠀⠠⣿⣿⡇⢸⢿⣿⡁⠀⠀⠙⠿⠒⢛⣿⣿⣿⣷⡾⠛⢻⡷⠻⢿⣿⣿⡿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡧⢸⣿⣿⠟⠉⠉⠉⠛⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠿⠿⠿⠇⠀⣿⡿⠻⠋⠀⠀⠀⠀
⠀⠀⠀⣿⠀⠀⢉⣻⠃⠀⠀⠀⠀⠐⠈⠀⠀⠀⠀⠙⠻⣿⡟⠁⠠⠈⠀⠀⠀⠉⣿⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⣽⠃⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡏⠀⠀⠈⠈⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⢸⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⡏⢠⠀⠀⠀⠀⠀⢠⣀⡀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⢰⣷⠀⠀⠀⠀⠀⠀⠈⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣶⡟⠀⠀⠀⠀⠀⠀⠀⠸⣿⢿⢰⣷⣴⠀⠀⠀⠀⣶⣾⣿⠃⠀⠀⠀⠀⠀⠀⢹⣄⣴⠀⠀⠀⠀⠀⠏⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⣀⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣸⣼⣿⡏⠀⠀⠀⠀⢸⣿⡿⠀⠀⠀⠀⠀⠀⠀⠈⣿⠏⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣧⡄⠀⠀⠀⠀⠀⠀⣤⣼⣿⣮⣿⠁⠀⠀⠀⠀⠈⣿⣧⡄⠀⠀⠀⠀⠀⠀⣠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⢰⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⢀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠈⣄⠀⠀⠀⠀⠀⢀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠀⠀⠀⠀⠀⢸⣿⣿⣿⣇⠀⠀⢸⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⣷⠀⠀⠀⠀⠀⠀⣿⠃⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⢸⣷⣦
⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠻⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⢸⡆⠀⠀⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⢀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⣿⣇⠀⠀⠀⠀⢸⣿⣿
⣀⣤⣼⣿⣇⠀⠀⡄⠀⢠⣧⣶⣄⡀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣶⣶⠀⠀⠀⠀⠀⣸⣿⣿⣿⣷⠀⠀⢸⡅⠀⠀⣿⣿⣿⣿⣤⣀⣀⠀⠀⣀⣤⣼⣿⣿⠀⠀⢸⠀⠀⠀⣿⣦⣤⣀⣀⣀⣤⣤⣾⣿⣷⣤⣤⣴⣾⣿⣿
⣿⣿⣿⣿⡿⠀⢸⡇⠀⠸⣿⣿⣿⣿⣿⠀⠀⣿⠀⠠⢿⣿⣿⣿⣿⣿⣷⣿⣾⣿⣿⣿⣿⣿⣿⠀⠀⢸⡃⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠀⠀⢸⠄⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠻⠟⢻⣿⣿⣿
⣿⠿⠋⠉⠀⣠⣬⣭⣤⣤⣼⣿⣿⡿⠃⠀⠀⠋⠀⣤⣾⣿⣿⣿⡿⠁⠀⠘⣡⣤⣿⣿⣿⣿⡟⠀⠀⣿⡇⠀⢸⣿⣿⣿⣿⡟⠋⠙⢻⠉⠹⣿⣿⣿⣦⣄⠀⠸⣧⡀⠘⢿⣿⠛⠉⠉⠉⠿⣿⣿⣷⣄⡀⠀⠈⠻⣿⣿
⠁⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⡟⠋⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⠏⠀⠀⠀⢸⣿⣿⣟⣿⣿⠟⠀⠀⢸⣿⠁⠀⢸⣿⣿⣿⣿⣿⣦⠀⠸⣇⠀⠹⣿⣿⣿⣿⣆⠀⠙⣿⡄⠈⢻⣷⣄⠀⠀⠀⠈⠙⣿⣿⣿⣦⣀⠀⠀⠙
⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⢰⣶⣿⣿⣿⣿⡇⠀⠀⠀⣠⣶⣿⣿⣿⣿⡶⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⠀⠀⠈⠀⠀⠸⣿⣿⣿⣶⣆⠀⠈⠣⠀⠀⠙⣿⣦⡄⠀⠀⠀⠸⣿⣿⣿⣿⣦⡀⠀
⣤⣾⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠘⣿⣿⣦⡀⠀⠀⠘⢿⣿⣿⣿⣿⣦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣶⣷⣶⣶⣶⣶⣶⣾⡶⣶⣶⣶⣶⣶⣷⣶⣶⣶⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣶⣶⣶⣶⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣶⣶⣿⣶⣶⣶⣶⣶⣼⣷⣶⣶⣷⣶⣶⣶⣶⣾⣶⣶⣶⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣯⣿⣯⣁⣧⣿⣼⣭⣅⣽⣧⣏⣛⣿⣸⣭⣭⣽⣸⣯⣩⣿⣼⣭⣿⣌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡿⣛⢿⠿⡿⠿⣿⢿⡿⠿⠿⠿⣿⠿⣿⡟⢟⠿⣿⢿⣿⠟⡿⢿⠿⡿⢿⢻⠿⡟⢿⡿⡿⠿⣿⡿⢿⠿⢿⡻⢿⢻⢻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣧⣿⣼⣸⣼⣥⣧⣧⣵⣽⣼⣼⣧⣇⣿⣧⣿⣧⣧⣦⣿⣿⣵⣼⣦⣧⣿⣼⣶⣧⣿⣿⣿⣧⣿⣇⣧⣧⣽⣯⣽⣼⣼⣼⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣯⢹⡏⣿⣟⡍⢟⡛⡛⡛⢙⠛⢻⢛⣿⢍⡟⢹⢍⡟⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣷⣿⣶⣿⣷⣿⣷⣷⣿⣾⣶⣿⣿⣾⣿⣶⣷⣿⣶⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣪⣈⣿⣩⣹⣉⣟⣿⣸⣏⣿⣍⣿⣉⣏⣹⣸⣋⣏⣹⣿⣇⣟⣯⣽⣇⣏⣹⣯⣋⣯⣹⣏⣙⣹⣿⣿⣏⣻⣏⣿⣩⣿⣿⣻⣿⣹⣿⣯⣿⣿⣸⣿⣿⣽⣿⣻⣿⣿⣟⣿⣩⣿⣯⣿⣿⣟⣹⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣟⣻⣿⠏⣿⣽⠛⣿⢹⣟⣻⣟⢩⡟⣿⠟⣻⡏⣟⣻⣟⠛⣿⠻⣿⡛⢻⢿⣿⢛⣿⢻⠛⣿⢹⡏⣹⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣾⣶⣷⣿⣷⣷⣿⣿⣶⣿⣶⣿⣷⣿⣾⣾⣶⣷⣿⣾⣿⣿⣿⣷⣿⣶⣽⣿⣾⣷⣿⣶⣶⣿⣴⣿⣿⣶⣷⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⢿⣿⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣇⣇⣟⣴⣿⣿⣸⣇⣜⣯⣼⣂⣏⣟⣿⣫⣣⣿⣦⣝⣾⣷⣜⣧⣽⣀⣟⣿⣥⣷⣤⣣⣼⣧⣿⣻⣿⣿⣿⣸⣣⣾⣿⣧⣇⣺⣷⣎⣿⣼⣇⣧⣿⣧⣧⣿⣧⣿⣧⣼⣟⣸⣯⣷⣼⣻⣿⣜⣼⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠫⡋⢽⠩⡯⠹⢹⠉⣿⠈⡿⠉⣿⢹⠍⡭⡏⠙⠹⠹⠩⣿⠝⢥⡯⣝⢙⠩⠉⡿⢸⠹⠩⢘⢝⢩⢿⠽⢰⡏⠇⢽⠉⡽⣽⡫⠟⢽⢿⡶⢶⠍⡏⢫⢯⡏⠹⢩⠉⣿⠩⡅⡽⡅⢭⢛⢭⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢿⡷⡿⣾⣿⣿⡿⡿⡿⠿⣿⢿⢿⠿⣿⡿⣿⣻⣿⣿⡿⢿⣟⣿⠿⡿⢿⡟⣿⣿⣿⣿⠿⡿⣿⠟⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣾⣧⣷⣷⣿⣿⣷⣷⣷⣾⣿⣷⣾⣶⣿⣷⣿⣿⣼⣿⣶⣿⣿⣿⣶⣷⣾⣷⣾⣾⣿⣿⣶⣧⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⣀⠀⣀⢀⣀⠀⢀⣀⠀⢀⣀⠀⣀⠀⠀⠀⢀⡀⠀⢀⡀⠀⣀⡀⠀⣀⡀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠠⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⣿⠀⠙⢸⣿⣀⣸⣿⠀⢸⣿⣀⠈⠀⠀⠀⢸⣇⣀⣸⡇⠀⣿⡇⠀⣿⡇⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠐⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢸⣿⠀⢸⣿⠀⢸⣿⠀⢀⡆⠀⠀⢸⡇⠀⢸⡇⠀⣿⡇⠀⣿⡇⠀⡄⢸⣿⠀⢠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠉⠉⠁⠉⠉⠁⠉⠉⠉⠉⠁⠀⠀⠉⠉⠀⠉⠉⠉⠉⠉⠈⠉⠉⠉⠁⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣽⣿⣿⣧⣥⣿⣥⣴⣿⣿⣿⣿⣿⣽⣴⣤⣿⣽⣿⣿⣿⣼⣿⣵⣼⣿⣿⣿⣦⣽⣿⣥⣴⣿⣬⣥⣥⣽⣾⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣻⣿⡛⣿⡟⣟⣿⣿⣟⣿⢟⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣷⣿⣷⣿⣷⣿⣿⣷⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡇⡂⡇⡇⡇⣿⡡⣖⠹⡍⡏⣽⢩⣻⡩⢿⣿⡇⡏⢏⢯⡝⢩⡝⡇⢹⢯⢹⣷⠀⡎⣽⢹⢹⢩⢩⢹⢩⡝⣿⢸⢩⢹⣿⢸⢩⢹⢩⢸⢸⢭⢻⡇⣼⢩⢻⢩⣿⢩⢹⢩⡏⣍⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣷⣶⣷⣷⣷⣿⢿⣶⣿⣶⣿⣾⣷⣿⣶⣷⣿⠷⣿⢾⣷⣶⡾⣷⣷⣶⣶⣾⣿⣶⣷⢿⣶⣾⣾⡾⣾⣴⣾⣿⣾⣾⣾⣿⣾⣾⣾⣶⣾⣾⣶⣾⣷⣿⣶⣿⣾⣿⣴⣾⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣇⣀⣸⡠⣸⣰⣸⡰⣺⣸⣰⣎⢕⡂⣿⣰⣪⣰⣿⣐⣎⣇⣇⣿⣸⣱⣎⣰⣎⡣⣸⣸⣰⣇⢄⣷⣧⣸⣟⣄⣇⢆⡇⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣟⣿⣟⣹⣻⣹⣿⣿⣹⣏⣏⣽⣻⣍⣯⣿⣿⣿⣯⣝⣹⣝⣏⣽⣽⣯⣝⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 4201

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/11/05/Over_at_Tux_Machines.shtml
    Gemini version at https://techrights.org/n/2024/11/05/Over_at_Tux_Machines.gmi

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


posted by Roy Schestowitz on Nov 05, 2024


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   6. ⚓ Programming_Leftovers⠀⇛


           Programming themed stuff


   7. ⚓ Distributions_and_Operating_Systems:_OSMC,_MakuluLinux,_and_Mageia⠀⇛


           Distros in the news (or blogs)


   8. ⚓ today's_howtos⠀⇛


           4 howtos for now


   9. ⚓ Kernel:_No_Russians,_Performance_Gains,_and_VMware_Workstation_to
      Switch_to_KVM⠀⇛


           Some kernel level stuff


  10. ⚓ Servers/Databases:_Clown_Computing,_DuckDB,_and_TCapture⠀⇛


           Some back-end news


  11. ⚓ Hardware_Leftovers⠀⇛


           Devices and Chromebooks


  12. ⚓ today's_howtos⠀⇛


           5 howtos


  13. ⚓ Android_Leftovers⠀⇛


           Quick Share for Android now shows percentage while transferring


  14. ⚓ And_here_is_new_MADb!⠀⇛


           That was fast: we have only just explained why our Mageia
           Application Database was offline and now papoteur tells us that
           new MADb is ready to be used


  15. ⚓ Free_and_Open_Source_Software⠀⇛


           The software is built with GTK4, Libadwaita, Rust and Sqlite


  16. ⚓ Review:_Fedora_41_Kinoite⠀⇛


           About a month ago we posted a poll which asked in which version
           of Fedora people were most interested


  17. ⚓ 9_Things_I_Do_to_Improve_My_Linux_Computer's_Security⠀⇛


           Want to know some quick but effective methods to keep your
           Linux system safe? Here are some great tips for you


  18. ⚓ This_Week_in_KDE_Apps⠀⇛


           Dolphin's accessibility, Itinerary's travelling aids, and a
           bunch of new upcoming KDE apps


  19. ⚓ RockChip_RK3568-Based_SBC_for_Embedded_Applications_with_PoE+_Support⠀⇛


           The board is compatible with both Linux Yocto and Android
           operating systems, providing flexibility for developers


  20. ⚓ 9to5Linux_Weekly_Roundup:_November_3rd,_2024⠀⇛


           The 212th installment of the 9to5Linux Weekly Roundup is here
           for the week ending on November 3rd, 2024.


  21. ⚓ Today_in_Techrights⠀⇛


           Some of the latest articles


  22. ⚓ Sculpt_OS,_Tribblix,_OpenPaX,_PCLinuxOS,_GNU,_and_More⠀⇛


           today's leftovers


  23. ⚓ KDE:_HDR_and_color_management_in_KWin_and_upgrading_Fedora_KDE_40_to
      Fedora_KDE_41_is_this_easy⠀⇛


           Some KDE picks


  24. ⚓ Programming_Leftovers⠀⇛


           Programming picks


  25. ⚓ today's_howtos⠀⇛


           only 3 for the time being


  26. ⚓ Open_Hardware/Modding:_Raspberry_Pi_and_More⠀⇛


           hardware/device picks


      =========================================================================
      The corresponding text-only bulletin for Monday contains all the text.
      Top-read articles (excluding bot/crawler visits):


                          Span from 2024-10-29 to 2024-11-04
      1059 /n/2024/10/29/
           Fedora_Linux_41_Released_with_Linux_Kernel_6_11_DNF5_GNOME_47_a.shtml


      745  /n/2024/11/01/EA_removes_Apex_Legends_from_Steam_Dec.shtml


      670  /n/2024/10/23/
           Linus_Torvalds_Rants_About_Defective_x86_Designs_and_AI_Being_J.shtml


      617  /n/2024/11/01/
           Immutable_Distro_Nitrux_3_7_1_Released_with_Linux_Kernel_6_11_N.shtml


      603  /n/2024/10/30/
           Audacity_3_7_Open_Source_Audio_Editor_Is_Out_to_Improve_Linux_C.shtml


      571  /n/2024/10/31/Programming_Leftovers.shtml


      566  /n/2024/10/24/
           Linus_Torvalds_affirms_expulsion_of_Russian_maintainers.shtml


      535  /n/2024/10/29/today_s_howtoos.shtml


      529  /n/2024/10/11/Gaming_on_Fedora_Asahi_Remix.shtml


      511  /n/2024/10/29/
           Bazzite_41_launches_with_VRR_fixes_and_better_handheld_support.shtml


      496  /n/2024/10/30/
           Shotcut_24_10_Open_Source_Video_Editor_Released_with_AI_Powered.shtml


      482  /n/2024/10/29/Programming_Leftovers.shtml


      480  /n/2024/10/29/
           Microsoft_s_Windows_11_24H2_issues_just_keep_getting_worse_with.shtml


      479  /n/2024/10/31/today_s_howtos.shtml


      476  /n/2024/10/31/
           You_Probably_Don_t_Need_to_Compile_a_Linux_Kernel_Anymore.shtml


      466  /n/2024/10/28/
           Raspberry_Pi_OS_Now_Enables_Wayland_by_Default_on_All_Raspberry.shtml


      458  /n/2024/10/29/
           Snapdragon_8_Elite_Powered_Phones_Will_Play_PC_Games_Thanks_to_.shtml


      456  /n/2024/10/28/
           Mozilla_Firefox_132_Is_Now_Available_for_Download_Here_s_What_s.shtml


      448  /n/2024/10/29/
           PineNote_Community_Edition_is_a_399_E_Ink_tablet_that_ships_wit.shtml


      447  /n/2024/10/30/today_s_howtos.shtml


      447  /n/2024/10/29/
           DietPi_9_8_Boosts_Support_for_NanoPi_ROCK_and_Orange_Pi_Boards.shtml




⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢀⣤⡴⠖⠒⢛⠉⠁⢀⣀⣠⠤⣶⣒⡤⠴⣖⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⣀⡀⠲⡧⠀⠉⢴⡤⠉⢵⡆⠉⢩⣾⣿⡿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠰⡦⠛⠃⣀⡀⠶⠷⠈⠁⣶⡌⠁⢶⡄⠁⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣤⣤⣀⡀⠀⣀⣠⣴⣶⣿⣾⣷⣿⣿⣿⣿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠆⠉⢁⣄⡀⠿⠖⠀⠁⣶⡄⠀⠀⢀⣀⣤⢄⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⡀⠀⠀⠀⢀⣀⣀⣤⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠀⡀⠾⠊⠉⢠⣄⠸⠿⠂⢀⠀⢲⠿⠟⣿⠈⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠯⢀⡈⠿⠈⠉⢤⣄⠨⠿⠃⢀⣀⢷⠀⠰⣷⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠃⠀⠘⠷⠀⠁⣴⡄⠀⠛⠉⡀⠸⠷⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣷⣶⣥⣤⣴⣾⡻⠀⠀⠸⠗⢹⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠛⠛⠛⠛⠉⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠟⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠿⢿⣿⡿⠭⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠿⣿⣿⣿⣿⡿⠟⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⡠⢀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⡯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠒⠒⢷⣶⣿⣶⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 4504

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/11/05/Techrights_Has_a_Long_History_of_Fighting_to_Expose_Team_Mono_o.shtml
    Gemini version at https://techrights.org/n/2024/11/05/Techrights_Has_a_Long_History_of_Fighting_to_Expose_Team_Mono_o.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Techrights Has a Long History of Fighting
to Expose 'Team Mono' or Microsofters Inside
GNOME⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Nov 05, 2024


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


FOR those who forgot or never knew, Novell had an infestation of Microsofters,
more so after it had bought Ximian. Later came Xamarin and various other
Microsoft proxies.


Some of the most vicious attacks we've been subjected to came not from
Microsoft directly (those did happen, too) but from proxies of Microsoft,
specifically moles of Microsoft embedded inside the community. It's not a
coincidence. More than 13 years ago I responded to that in_this_post.


Nearly 14 years have passed and not much has changed, except we all grew older
and some people had a nervous breakdown (because they had underestimated what
they were getting into). Techrights will be around for many years to come and
it'll document the story of how Microsoft operates through proxies and moles.
Never downplay the malice of Microsoft and its operatives. Some of them are
psychopaths who literally strangle women. █




⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⠂⢀⠀⠀⠀⣀⣠⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⠿⠿⣿⡿⠿⠟⠉⢛⣛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠋⣉⣉⣁⣾⣿⡿⠿⠿⣿⡷⣿⣿⠛⠛⠿⠏⠁⣈⣭⣤⣤⣤⣶⣶⣶⡶⠿⠿⠯⠤⠀⠴⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣤⣤⣶⣶⠀⠀⢀⡈⠉⠉⠉⠉⠉⠉⠛⠋⠉⠉⠁⠀⠈⠛⠛⠛⠛⣻⣿⣿⣿⣿⣿⣿⡿⠿⣿⣷⡿⠗⣀⣀⣬⣤⣤⣤⣶⡀⣠⣶⣶⣶⣾⣿⣟⠋⠉⠉⠉⠀⠀⠀⠀⡀⠀⠀⡄⠀⣠⡍⢹⣿⣿⣿⢉⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⡄⠉⠉⠙⢩⣥⣤⣄⣴⣶⣶⣶⣛⢉⣩⠁⣭⣨⣬⢀⡛⣿⣿⣟⣻⣿⣿⣾⡀⠀⣿⠀⠀⠀⢰⡇⠀⢠⡇⠀⣿⣇⣿⣿⣿⣿⣼⣿⣿⣿⣿
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⡿⠿⡿⢻⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⡏⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣴⣿⣿⣿⣿⣿⣿⣿⠛⠻⡇⣿⢯⡈⣉⣹⡇⣭⢸⡿⣿⡿⠟⠛⣿⣿⡛⠛⣻⣿⣿⢹
⠡⠀⣿⢸⣿⣿⠀⠀⠀⣀⡀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡿⠁⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡿⠋⠹⢟⠛⣻⣿⣿⣟⠒⣻⣿⡍⢩⣏⠁⠀⠀⡇⣿⢸⣯⠉⢹⡇⣿⣸⣿⣿⣿⡀⢸⢻⣿⡇⠀⣿⣿⡏⢸
⠀⠀⣿⠀⡿⠿⠀⠀⢠⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⢠⡌⡟⠁⠀⠀⠀⠀⠸⣷⠀⣿⡆⢸⣟⠀⠀⠀⢰⠀⣿⣿⣿⣿⠀⣿⣿⡇⢸⣇⠀⠀⠀⠠⢿⠼⠿⣜⣘⣓⠊⡟⠗⠯⠀⠀⠼⠸⠿⣭⣭⣉⣻⢷⣾
⠀⠀⠘⠀⣇⣀⣀⣀⡸⢿⡻⠿⠟⠿⠿⣇⠀⠀⠀⠀⠀⣀⣀⣸⡇⡷⡄⣄⣀⣀⣀⣸⣿⣤⣿⣇⢀⠃⣤⣄⣤⠬⠖⠋⠉⠉⠉⠁⠩⠭⠭⠭⡁⢀⠒⠋⣈⠀⠀⠀⢀⢠⣀⢀⣀⢀⠀⣤⠀⠀⠀⠨⣭⢥⡤⢤⠠⢸
⠀⠈⠼⡿⠮⠷⠘⢻⣁⣾⡇⡄⠀⠀⠀⠈⠀⠀⣤⣀⣠⣇⣭⣠⣶⣄⣄⣠⣆⣀⣀⣦⣂⣒⣶⣶⣤⣴⣶⣷⣦⣤⣼⣧⣼⣤⠀⢻⣧⣤⣭⣿⣿⣿⣷⣶⣿⣶⣶⣶⡌⠈⡽⣶⣷⣶⣿⣿⣿⣿⣿⣿⡿⠟⢿⣿⣿⣾
⣦⡤⡆⠡⠅⣿⣾⣿⣛⠻⢏⣉⡩⣉⡁⠀⣈⣿⣿⣿⣿⡿⣿⣿⣿⢙⢙⣿⣿⣿⣿⢽⣿⣿⣿⡧⣿⣿⠻⠿⣽⣿⣽⣿⣿⣿⣷⣾⣽⣿⣿⣿⡟⠋⠉⠉⠟⠒⠒⡾⢿⣿⣧⣿⣿⣿⠛⠛⠿⣿⠛⠛⠛⢥⣿⣻⣿⣿
⡿⠷⠠⠀⠐⠀⠀⣀⡇⢀⢸⣿⢿⣿⢭⠭⠿⠿⣿⣿⣿⠁⣿⠛⡛⢿⣶⠷⠹⢿⡿⣾⠟⠙⢿⡟⢻⣿⣦⣤⣾⡿⠻⣿⣿⣿⣿⢿⣿⢿⠻⣿⣷⣤⡀⠀⠀⠂⢀⠑⢺⡇⠀⢹⠉⠀⠀⠀⠀⠀⠙⠁⠐⠿⣿⠟⠛⢻
⠁⢄⡀⠄⠁⠀⠀⠀⠁⠀⠉⠉⠀⠁⠀⠀⠀⠀⠤⢤⡄⠀⠙⣿⢦⡭⠸⠀⠀⣀⡿⠀⠠⠀⡀⣽⣶⣿⣿⣿⣿⣷⣎⠤⢽⡭⡛⡢⠄⠠⢠⠈⠁⠀⠀⠀⠀⠀⠀⠠⣿⣧⣠⡆⠀⠀⠀⠀⠀⢠⡀⠈⠁⠄⠳⠦⣤⢸
⡀⠀⣑⣀⡀⡀⠀⠀⠀⠀⠀⣢⣀⡄⠀⠀⣤⣤⣤⣶⣦⠀⠀⠩⠀⠁⣀⡾⣃⣀⠀⠀⠸⣿⣦⣷⠜⠉⢋⠋⠉⠈⢻⣾⣧⣶⣗⣗⣶⣾⣧⠀⠀⠀⠀⠀⠀⠀⠑⠀⠟⣿⣿⣷⣤⣶⠆⠀⠀⣾⡇⠀⠤⡶⠖⠛⠟⢿
⠉⠀⠿⢹⣧⣿⡄⠀⠀⠐⠉⠛⠋⠉⠉⠀⢹⣿⣿⣿⣿⡀⠀⠻⠀⠀⠻⠛⠛⠛⠛⠓⠂⣿⡏⢲⢦⢡⢾⣷⣤⠠⣠⢘⠿⢻⢿⣿⠿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣃⠀⣤⣾⣿⣇⠄⢀⣶⣧⣴⣦⣬
⠀⠀⢸⡾⣿⣷⡆⠀⢰⡀⠀⠀⠀⠀⠀⢰⣾⣿⣿⣽⣿⡅⠀⠁⠀⠀⡀⠀⠀⠀⠀⠀⠀⢸⡿⠀⠁⠼⠿⠚⠋⢀⣯⣾⣤⣠⣾⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠈⠫⠍⠋⠋⠁⣾⣿⢸⣿⢿⣿
⠀⠀⢸⣿⣿⣿⣧⣤⠌⠀⣸⡟⠛⠀⠀⣀⣿⠿⣿⣿⣿⠁⠀⢸⣄⠀⣷⣴⡆⢠⠀⠀⣀⣸⡷⠀⠀⠀⠀⠀⠀⢈⣻⣿⣿⣛⣽⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢰⣿⣿⡺⢿⣿⣿
⠀⠀⠀⣿⣿⣿⣿⠋⢀⣴⣿⣿⡄⢀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡇⣿⣿⢱⣮⡀⠀⣻⣏⣀⣀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⡿⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣇⠀⠐⠀⠀⢨⣿⣿⣷⣶⠌⠀
⠶⠒⢲⣿⣿⣿⣿⣷⣬⣽⣿⣿⣂⣀⣀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣧⣵⣽⣯⢰⡽⠀⠀⢸⢹⣙⣛⢙⣳⣤⠆⢠⣿⣿⢿⣿⣿⣿⣿⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⡻⣿⢿⣆⣀⠀⠀⣾⣿⣿⣿⣧⣦⣴
⣀⣤⣼⣿⣿⣿⣿⣿⣿⡏⠉⠋⠙⠋⠉⠉⣿⣿⣿⣿⣿⣿⣋⣸⣿⣶⣶⣿⣮⣤⣄⣀⣸⠺⢼⠉⠉⠉⢩⡂⠀⠋⠓⣠⣉⠋⠡⣿⠀⠀⠀⣸⠆⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠿⠿⠛⢛⡛⣧⣭⣿⣿⠛⠿⠿⠿⠿⠿
⣙⡋⠛⢿⣿⣿⣿⣿⣿⣷⣤⣤⣤⣤⣤⣶⣾⣟⠙⣿⣿⣿⠋⣻⣿⣿⠟⠛⠋⠉⣩⣿⡶⠐⠀⠁⠀⢀⣥⡄⣩⡻⣦⣶⡖⣀⣀⣰⣦⣠⣀⣿⡇⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣾⣿⠭⠿⣧⣉⣽⣿⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⠙⠿⣿⣿⣿⣿⣿⣿⣿⢾⣿⣿⣶⣿⣿⣧⣶⡍⠿⣿⣶⣶⣤⣴⣯⠀⠀⠀⠆⠀⣤⣾⣥⣒⠋⠀⢩⣭⣥⣿⣿⣿⡋⠉⠉⠛⣤⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣤⣿⠋⣿⡿⠋⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣷⣤⡌⢹⣿⣿⣛⣿⠀⠀⠀⢀⣬⠿⠿⠛⠉⠀⣸⣾⣿⣿⣿⣿⣥⡬⠀⠀⠀⠀⠀⠀⢀⠀⠀⣼⢿⣿⣿⣿⣿⣿⣿⡟⣿⣷⣿⣿⣷⠀⠀⢰⠀⠀⠰
⡯⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠈⠩⣦⣴⠟⠛⣿⣤⠀⣀⣠⠾⠟⠛⠂⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⢀⠀⠀⡖⠀⠀⣿⣦⣽⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⡏⠀⠀⣿⠀⠀⠀
⢻⣤⣶⣶⣿⣿⠻⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠈⠁⠐⠂⠈⠀⠄⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣤⣿⠆⢀⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⡇⠀⠀⣤
⣾⠛⢻⣿⣿⣿⣤⣀⣭⣻⣿⣏⠀⣼⣿⣿⣿⡟⡜⣿⢿⣄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣧⣤⣀⠀⠀⠀⠸⣿⣿⣦⣬⣇⣀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣼⣇⣠⣼⣿
⣿⣦⣿⣿⣿⣿⣿⡿⠋⠻⣿⣿⣶⣿⣿⣿⣿⣧⣵⠋⠘⢿⣿⡄⠀⠀⠀⢠⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣷⣶⣦⣴⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⣹⣥⣠⣙⣛
⣿⣿⣿⣿⣿⣿⣿⣿⣦⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣿⣟⠋⠀⠀⣼⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣾⣿⣿⣿⡏⠙⢩⣻⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣉⠀⣀⣬⣤⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣦⣈⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣯⣿⣿⣟⢻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠻⠻⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠶⠄⠀⢀⠈⠻⢿⣏⠀⣉⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠃⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠦⢀⠀⠀⢠⣾⣿⣶⣶⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿
⣿⣿⣿⠟⠃⠸⣿⣿⣿⣿⣿⠍⠉⠉⠀⠀⠀⠀⡶⠰⣶⣾⣿⣿⣿⣿⣯⣜⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣖⣀⡀⠀⠉⣹⣿⣿⣿⠀⠙⠻⠿⣿⣿
⣿⣿⣷⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣷⠦⠀⢴⣾⠁⠀⠈⢻⣿⣿⣿⣿⣿⣯⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠟⠛⠛⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⡛⢻⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠙⢛⣿⣄⠀⢀⠀⣠⣤
⣸⣿⣿⡠⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠂⠀⣿⣿⣿⣿⣿⣿⣿⣿⣥⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠐⠿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⢬⡿⢿⣿⣿⣿⣿⣗⣚⣈⣩⣥⣿⣿⣛⣃⣚⣿⣿
⠛⠁⣿⣿⡀⠀⠀⠀⠉⠛⠩⢿⣿⠿⢿⣿⣿⠟⢟⢷⣾⣿⣿⣿⠟⢿⣿⣿⣿⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠟⠉⠀⠐⣦⣄⠀⠉⠛⢻⣿⣿⣿⣿⣿⣿⣄⡀⠉⠀⠙⢿⣿⣿⣿⣿⣿⡟⠻⣿⣿⣿⣿⣿⣿⣿
⠀⢀⣿⣿⣶⡤⣀⢠⣴⣿⣿⡿⠛⣇⠁⠀⠈⣷⡈⣴⡿⠿⢿⣿⣠⣸⠛⠋⠉⠁⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣇⠀⠀⠀⠀⠀⠀⠈⠀⠀⠙⠻⠿⢿⣿⣿⣿⣏⣀⠓⠦⢠⣿⣿⣿⣿⣿⣇⠀⠨⠛⠛⠿⠿⣿⣿
⠀⢘⣿⣿⣿⣦⣤⠔⣺⢿⣿⣷⠈⠁⠀⠀⠀⠛⠁⠀⠀⠀⢀⠿⠛⠻⠢⠀⠀⠀⢉⣽⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣆⠀⠀⠀⠀⠙⠻⠷⠄⠀⠀⠀⠀⣀⠭⠽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⢀⣀⣄⣀⣻
⠾⣿⣿⣿⣿⣿⣿⣇⠚⠋⠉⠉⠁⠀⠀⠀⣀⠀⠀⠀⡀⣠⣀⠀⠀⠀⢶⣶⢶⣿⣿⣿⡀⠄⣀⢀⣄⣀⣀⠀⠟⠋⠉⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠚⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣾⡃⢣⣿⢚⠛⠁⠋⠉⠑⢙
⣤⣤⣿⣿⡛⠚⠙⣽⡶⡶⠂⠊⠀⠀⠠⢤⣤⡀⠀⠀⣀⣤⢤⡤⠄⠀⠀⠀⠀⠀⠙⠛⠁⠀⠈⢭⡾⠿⠛⠁⠀⠀⠀⠙⢤⡘⠻⠀⠚⣨⣋⣀⣀⠀⢀⣾⣾⣿⡿⠛⠉⠹⠿⠿⣿⡿⠿⡿⠿⠸⠟⠋⠃⠀⠀⢀⣴⣿
⠉⠉⠐⠉⠉⠉⠓⠀⠀⠀⠀⠀⠀⠀⠁⠈⠉⠀⠿⠆⠀⠀⠀⠀⠀⠀⠐⠆⠀⠀⢀⣶⣤⡀⠀⠀⠁⣀⡀⠀⠀⠀⠀⠀⠁⠀⠀⠀⣀⠉⠉⣹⣿⣶⣿⣿⣿⣟⠀⠀⠀⢀⠀⠀⠀⠀⠈⠆⠀⠀⠀⠀⠀⠀⠀⠛⠿⣿
⠠⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠓⠀⠀⠀⠀⠠⠾⠿⠿⠀⠀⠀⠀⠀⠀⡀⠀⠘⢿⣿⠷⣀⠀⠀⠛⠋⠀⠀⠀⠀⠀⠀⢀⡀⠤⠂⠈⢼⣿⣿⣿⣿⣿⣿⣿⣇⠄⠀⠺⠃⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⣠⣤⣶⣿⣿
⠂⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠷⠂⠀⠀⠀⠀⠀⠀⠀⠛⠒⠔⠀⠐⠘⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠆⡀⠀⠀⢀⣠⣄⣴⣿⣷⣦⣤⣀⣀⣘⠿⣿⣿⣿
⠀⠀⠀⠀⠀⠘⠉⠈⠘⠛⠀⠂⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⢠⣠⣄⣀⣤⣷⠀⠘⢿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠂⠀⠀⡠⣼⣷⣷⣶⣶⣤⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠈⠿⣿⣿⣦⡀⠈⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠙⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠻⣧⡄⠀⠀⠀⠀⠀⠀⠀⣅⠬⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢿⣿⢆⠀⣼⣿⠿⠓⠂⠀⠩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⢠⣙⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠓⢻⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠘⣷⣷⣶⣤⣤⣤⣤⡘⠛⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠁⠀⠠⣦⣄⡀⠀⠀⠈⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠐⠬⠟⠻⢻⣿⣿
⠀⠀⠀⣠⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣷⣿⣿⣿⣿⠟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠘⠂⠀⠀⢹⣿
⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠈⢿⣿⣿⣿⡿⢿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⡓⡀⠀⠀⠀⠀⣻

                    ䷩ 𝚕𝚒𝚗𝚎 4605

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/11/05/The_Internet_is_Failing_to_Protect_Democratic_Processes_and_Hum.shtml
    Gemini version at https://techrights.org/n/2024/11/05/The_Internet_is_Failing_to_Protect_Democratic_Processes_and_Hum.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ The Internet is Failing to Protect
Democratic Processes and Human Knowledge⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Nov 05, 2024,
updated Nov 05, 2024


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


Amplifying lies, rewarding plagiarists


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


At risk of showing falsehoods (blurred above), we wanted to say that the media
is already parroting Trump's lies. Many headlines just tell us what Trump
tells... and that's a terrible approach.


Then again, we expected it all along, did we not? They write headlines to
maximise "clicks" or "engagement", not to actually inform. It's a problematic
incentive model.


And "apropos disinformation," someone told us, Eric Holscher has this_new_blog
post, "AI search should sustain open source, not just index it". It says:
"Current open source licenses mean that these companies could just train on the
software and not pay for it. This is what they are currently doing, and with
somewhat firmer legal standing than training on other copyrighted works that
aren't openly licensed. But there seems like an opportunity for them to pay for
the content, similar to what they are doing with news publishing."


There's a lawsuit over this. Class_action.


The Internet - and the Web in particular - is circling down the drain. Along
with that... society at large and creative works. █




⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⣓⣒⡈⣿⣿⣿⣿⣿⣿⣿⠀⠀⢴⣿⣼⣶⣿⠿⠃⣰⣿⣿⣏⣵⡀⠀⠑⢧⣀⣒⣻⣿⣿⣿⣷⣤⠙⢿⣝⣿⢸⣿⢷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠈⠂⠀⡔⢛⣿⣿⣿⣿⣿⣿⣿⣷⠸⣧⠄⠈⡏⣾⣿⡧⣴⣿⣿⣿⣿⣿⡿⣳⠃⠀⠀⢻⣾⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⡝⢿⣿⢨⣿⠇⢰⣿⣿⣿⣿⣿⣿⣿⢣⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠒⠀⠐⢺⣿⣿⣷⣶⠄⠀⠹⢫⢯⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⠷⣄⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣾⠃⠀⠀⡾⠁⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢯⣳⡝⠂⠁⠤⡄⠀⠀⠀⠠⡄⠀⠐⠀⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⣍⠀⠀⠀⠤⠴⠴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⠐⠠⠤⠀⠀⠀⠀⠀⠀⡠⢚⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠩⠥⠤⠤⠔⠒⠂⠐⠒⠐⠀⠖⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡠⡿⡇⣀⡀⢀⣀⠀⠀⣀⣀⢠⣤⣤⣴⣶⡶⠂⠠⠖⢀⣼⣿⠢⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣼⣿⣮⣤⣴⣤⣽⣷⣴⣶⣶⣶⣶⣶⣾⣤⣤⣥⣦⣦⣴⣶⣿⣷⣾⣶⣶⣶⣯⣷⣿⣿⣿⣯⣤⣤⣠⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⣜⣿⣿⣆⣉⣉⣍⣹⣉⣉⣍⣾⣉⣈⣉⣙⣼⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣌⣽⣭⣩⣻⣿⣿⣇⣌⣁⣫⣥⣉⣻⣿⣿⣿⣭⣉⣉⣇⣬⣍⣉⣩⣉⣍⣿⣿⣿⣿⣿⣿⣟⣬⣀⣩⣹⣐⣉⣉⣩⣭⣽⣿⣿⣧⣤⣋⣌⣸⣿⣿⣇⣋⣩⣁⣿⣿⣿⣀⣫⣡⣍⣍⣹⣿⣿⣿⣈⣝⣈⣭⣁⣋
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣧⣤⣦⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠃⠀⠛⠘⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿
⣿⡟⢏⢼⡋⣛⢙⢭⠁⡩⢩⡇⠉⡩⢙⢩⠭⡆⣮⠉⢩⡍⢍⡏⡋⡝⡍⣯⢉⠏⢝⢍⠩⢩⢉⠉⡍⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿
⣿⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿
⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣄⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿
⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡿
⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣷⣾⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡏⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢹⣿⣿⣿⣿⣿
⣿⡇⠀⠀⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⡟⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿
⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣸⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿
⣿⣧⣬⣬⣼⣤⣥⣿⣤⣮⣤⣤⣥⣤⣤⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣏⣉⣉⣉⣉⣍⣉⣉⣉⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿
⣿⣏⠍⡛⡻⣻⢟⡟⠟⣯⡝⣻⢛⡛⢛⡟⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣷⡶⠷⠾⠾⠷⠷⠶⠿⠷⠷⠿⠷⠴⠷⠶⠮⠷⠂⠀⠀⠀⠀⢀⣠⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣧⣼⣽⣭⣽⣍⣩⣯⣤⣹⣥⣬⣽⣬⣥⣉⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 4722

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/11/05/There_s_a_Reason_Why_Techrights_is_Turning_18_and_Tux_Machines_.shtml
    Gemini version at https://techrights.org/n/2024/11/05/There_s_a_Reason_Why_Techrights_is_Turning_18_and_Tux_Machines_.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ There's a Reason Why Techrights is Turning
18 and Tux Machines Will Turn 20.5 Next Month⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█
⌧


posted by Roy Schestowitz on Nov 05, 2024


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


Two more days...


THERE is this simple thing that our adversaries (people who bully us and commit
actual_crimes_against_us) fail to understand or stubbornly refuse to accept.
Because accepting defeat is harder than self-delusion.


I started advocating GNU/Linux when I was a teenager. I've been programming
(for professional and personal purposes) for even longer than that and I wrote
many articles. I probably wrote way more than a million comments and
Techrights' IRC network has registered many millions of lines. I've kept going,
mostly uninterrupted (at best distracted, forced into temporary time-wasting),
for over 2 decades and I intend to do this for another 2-3 decades. I cannot
quite see or foresee anything that can stop this.


Techrights turns 18 in two days and Tux Machines is more active than ever
before. Even if the Web was to perish entirely and vanish, Techrights and Tux
Machines are both in Geminispace (all the same material!) and have been there
for years. Even for the Gemini requests alone, both are worth running. The
audience is there, so the motivation remains.


People who think they can somehow scare us, slow us down and maybe "terminate"
us (some way or another) are delusional and pathetic. That just shows how
little they know about us (or wish to comprehend). Even if I my home burned
down, the sites would go on. There are contingencies and backups in place and
those contingencies have been in place for well over a decade.


For those who wish to join our Techrights anniversary party (Thursday in
Manchester), contact us by E-mail or IRC. There's still enough space. █




⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠿⣿⣶⣴⠿⠿⣿⣿⣿⣦⣀⠀⠀⠀
⣠⣴⣿⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣛⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠄⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠹⢿⣿⣿⣿⣧⠀⠀
⣿⣏⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⣿⣿⣿⣿⡠⡄⠀⠀⠀⠀⠀⠀⠈⠙⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡟⠃⠀⠀
⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⠆⠀⢸⣿⣿⣿⣿⣷⠀⠀⠔⠚⢻⠛⠓⣤⢸⣿⢿⢶⣶⣤⣴⣶⣤⡀⣼⢿⣿⣇⠿⣿⣷⠀⠀⣀⠀⠀⠀⠀⠀⠀⢠⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⢁⡀⠀⠀
⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⢸⣿⢿⡟⢿⣿⣧⣤⣶⣿⣿⣿⣧⡷⣤⣋⡯⢽⢿⠄⠉⠉⠘⠟⠂⠀⣿⣿⣀⠽⣾⠀⠀⡿⠀⢠⣦⡀⣴⣄⢸⢠⢠⡅⣦⣤⢠⣶⡗⠀⢠⢶⡇⣴⣄⢠⣶⣶⣶⣿⣾⠁⠀⢠
⠀⠀⠸⣿⠿⠛⢿⣿⡿⠟⠛⠁⠀⠀⢀⣿⡀⠀⣿⣿⣿⣿⣿⣿⣿⠛⠉⠁⠁⠀⠋⠉⠀⠁⠀⠀⠀⠄⠀⠀⠘⣿⡇⢀⡏⠀⠀⡇⠀⣿⢘⣿⡇⢸⢸⣾⢸⡇⡇⢸⢸⣿⡇⠀⢸⣴⢧⡇⢸⣿⣿⣿⣿⣿⣿⣧⣰⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⢿⡗⣄⠙⣿⣿⡿⢏⡻⠀⣀⠀⠀⠀⠀⠀⠀⢂⠀⠀⠀⠀⠀⠀⠀⢠⣜⠁⠘⡇⠀⠀⠷⢾⠹⣾⠏⢷⠟⢸⢸⡿⠇⠇⠾⢺⡶⠗⠀⢿⡶⠆⢷⠟⠹⣿⣿⣿⣿⣿⡿⢿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⡟⠁⠀⢿⡎⢸⡟⢻⣿⣴⠒⠀⢠⢂⢠⢦⣄⣀⣔⡆⠂⠀⠀⠀⠀⠨⢂⡿⠉⠀⠀⣧⣤⣀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⡿⠟⠀⠀⢙
⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣷⣤⣀⣼⣷⣿⠑⠀⢻⡗⠌⢀⢀⣎⢢⣧⢻⣿⡖⣀⠃⠀⠀⡐⠀⠐⠹⠃⠀⠀⢰⣿⠛⢿⣷⣤⠀⠀⠀⠀⢀⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿
⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⡟⣿⣿⣯⣼⠿⠛⣿⣿⠀⠀⢸⣇⣖⢠⠪⢛⣿⢻⣻⠤⠟⠾⠡⠄⠀⠃⠰⣲⡟⠈⠀⠰⡏⠀⢷⣤⠙⢿⣦⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣷⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿
⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣷⣻⠇⠸⠆⢠⣿⣿⣿⣦⣾⣶⣿⣿⣷⢤⣀⣛⢾⡧⠀⠀⠨⠠⠳⣤⡅⣤⣻⣷⢶⣶⡾⣷⠀⠈⢹⣆⠀⠘⢓⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠈
⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠋⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠨⠛⠀⠀⠀⠀⠀⠀⢀⠑⠸⢿⣿⣿⣿⣿⣵⣾⠀⠀⣼⠿⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⣿⣿⣧⠅⠄⣀⠀⠀⠂⠀⠀⢀⣿⣦⣄⡈⣿⣿⣿⣿⣿⡗⢀⣠⢷⡆⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⢠⣾⠟⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠸⣿⣿⡿⣿⡽⠆⠀⡄⠀⠀⠀⢽⣿⣿⣿⣿⡿⠟⢶⣾⣶⡏⠀⠀⠀⠀⠀⠐⡗⣻⣿⣷⣾⣿⣿⣿⣿⣷⠀⠄⠐⠅⡬⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⡿⠀⢀⠀⠄⢀⡠⢾⣿⣿⣿⣿⣿⠶⣾⣿⣿⣧⡀⠀⠀⠀⠀⠀⢠⣿⣿⣟⠶⣿⣿⣿⣿⣿⠂⠀⠀⢀⣴⣄⣄⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠐⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣯⣾⣿⣿⣿⣿⣿⣦⣀⡀⣤⣴⣿⣿⣿⣝⢿⣿⣿⣿⣿⠋⠁⣀⠤⠂⢍⣿⡇⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⣤⣶
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣧⣚⡿⣿⣿⣡⣾⣿⣿⣿⣿⣿⠟⠁⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠹⠄⠘⣬⣿⠁⢸⣿⣿⣿⣿⣿⣿⣿⢹⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⢸⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣟⣽⢿⣿⣿⣿⣟⣼⣿⣿⣿⣿⣯⣍⠉⠁⠀⠈⠉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣄⢻⣼⣟⠀⢸⣿⣿⣿⣿⣿⣿⣿⢘⣩⡙⣿⡶⢾⣿⣶⡎⣿⣾⡆⣄⢀⢠⣀⠘⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠠⡀⣀⣤⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣾⣿⣿⣿⣿⣿⣿⣿⢸⣿⡇⣿⢾⠿⣿⣿⣽⣿⣿⣽⡿⢆⣾⣿⣧⡘⣿
⠀⠀⠀⠀⠀⠀⠀⣾⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣼
⠀⠀⠀⠀⠀⠀⢴⣷⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⢿⣿⣿⣿⣿⣿⢿⡿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠟⣼⡏⣿⢝⣽⣯⣭⡇⣯⣹⡿⣽⣽⣟⣭⢻⡏⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠘⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⢻⡿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⢼⡇⣿⢸⣿⣿⣿⡇⣿⣿⡗⣿⢿⡟⣿⣸⣷⡝⣼⣿
⠀⠀⠀⠀⢀⣀⣤⣶⣿⠿⠛⠛⠻⢿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣾⣷⣿⣾⣿⣿⣿⣧⣿⣼⣿⣾⣾⣷⣿⣾⣧⣾⣿⣿
⠀⠀⠀⠚⠛⠟⠙⣿⡟⠀⠀⠀⡄⠀⢈⣿⡟⠀⠸⠟⠟⢿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠙⣛⣻⣿⣟⠋⠉⠁⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠖⢦⡀⠠⣤⠀⠀⠉⠀⠀⠀⢠⡇⠀⠈⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 4804

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Gemini Links 05/11/2024: 'App' Needed for
Parking, NNCP, Gomphotherium⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Nov 05, 2024


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Birthday_candles⦈_


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * Gemini*_and_Gopher
          o Personal/Opinions
          o Politics_and_World_Events
          o Technology_and_Free_Software
                # Internet/Gemini
    * § Gemini* and Gopher⠀➾


          o § Personal/Opinions⠀➾


                # ⚓ satisfaction_vs_joy,_tarot_style⠀⇛


                       things are coming together, even the disgruntlement
                       seems to be serving its function very well. i was
                       mostly feeling a little stagnant with all the tarot
                       projects - how come i'm doing so many different
                       things with my special interest (DROPM78, tangled
                       blessings, Lisa Papez's book, waiting to be done
                       with that one to be able to start using my handmade
                       journal for the shadowplay) and yet feel so bogged
                       down? it's all jobs and no reward. add to that the
                       "staying off the internet" which requires more
                       activities to be introduced elsewhere. and the
                       recent bright flare of an old special interest that
                       fizzled out just as quickly as it arrived. it was a
                       rush and now that it's gone i'm feeling even more
                       bereft.


                # ⚓ Inspiration_strikes!⠀⇛


                       I have been having a rough time recently
                       remembering myself as my days become lost to sleep
                       attacks and body image issues. I had no drive to
                       work out, knowing that if I worked out and ate in a
                       calorie deficit, it would become unhealthy for the
                       sole reason that I was doing it to look a certain
                       way. In the past I had tried, and had nearly
                       starved myself. I always wanted to take up less
                       space. So I conceded my energy to nothing but my
                       studies and my work. I had none left for myself.


                # ⚓ The_De-divinizing_of_Divination⠀⇛


                       It's all well and good that some take a
                       psychological approach to divination as a means of
                       wrestling with ourselves internally, but it should
                       be understood and made clear to everyone that
                       that's an extremely modern, extremely secularized,
                       extremely woogity-denying stance that does not
                       agree with any historical or traditional approach.
                       If you don't think divination can actually predict
                       things, okay, that's on you, regardless of your
                       actual ability to do so. But saying that others
                       cannot actually do so, or that they should not do
                       so because it's somehow "unethical", is more of a
                       stretch than what most contortionists could ever
                       attain. Sure, there are laws in many places that
                       prohibit divination and fortune-telling—but many of
                       those same laws are also infringements against the
                       right to the free practice of religion. Whether or
                       not those laws stand, breaking an unjust law is not
                       unjust, because legality is not the same thing as
                       justice. There are, after all, also laws against
                       malpractice or fraud in general; we don't see laws
                       against professions of medicine or law just because
                       people get swindled there, too. What's unethical is
                       fraud, not breaking an overreaching and improperly-
                       written law. (At least for medicine and law, there
                       are ethics boards that can remove fraudulent
                       practitioners; there's no such protection or
                       regulation for diviners or magicians out there,
                       which does lead to there being fraudulent
                       practitioners in these fields, so as ever, caveat
                       emptor.)


                # ⚓ Tuesday⠀⇛


                       Oh, wow, just noticed this is post 2323, which
                       number kindles warm almost memories of so enjoying
                       "The Illuminatus! Trilogy" back in darker-haired
                       days.


                       I think what kills me most about the internet is
                       that it just plain really doesn't contain much of
                       interest.


                       Don't get me wrong. It seemed to. You know, the
                       "those heady times" context. So many links, so much
                       content, everyone coming together.


                # ⚓ 🔤SpellBinding:_BUEMNRC_Wordo:_MELBA⠀⇛


                # ⚓ drip_drop⠀⇛


                # ⚓ Music_day⠀⇛


                       Learning folk songs is great fun. Now if I only
                       were to do my homework to study them. The tempo for
                       the melody lines are quite something, but that's
                       primo practice goals to strive towards.


          o § Politics and World Events⠀➾


                # ⚓ Commentary_on_the_2024_US_Presidential_Election⠀⇛


                       Nothing scientific, just a gut feeling, but I think
                       Harris will win the presidential election tomorrow,
                       and that exit polls will show overwhelming support
                       from female voters. I think prior polls are
                       underestimating just how pissed off American women
                       are about Roe v. Wade being overturned. The sad
                       reality is that some women have to pretend to
                       support Trump when in front of their husbands or
                       friends, so they have to keep their votes secret,
                       and we won't know about the effect of these votes
                       until after the election.


                       I would like to be right, but of course if we wake
                       up Wednesday morning to a Trump presidency, the US
                       (and by extension Canadians and the rest of the
                       world) are in for a rough time. We definitely don't
                       need 4+ more years of chaos.


          o § Technology and Free Software⠀➾


                # ⚓ Self-hosted_web_browser_bookmarks_syncing⠀⇛


                # ⚓ The_End_of_Block⠀⇛


                       Twitter's engineering team posted the above two
                       days ago. And thus began the change that Elon Musk
                       has wanted for a while, to see the block function
                       reduced to barely more than the existing mute. I'm
                       surprised he didn't have them remove it altogether.


                       The change allows users to see all the tweets of
                       people who have blocked them. They can't interact,
                       but in a sense, that doesn't matter - it's an
                       enormous violation of privacy, one that allows
                       anyone who's been blocked to see what they've been
                       missing. Sometimes blocking is done capriciously -
                       when I was on that site, I'd often block someone
                       the moment they barged into my mentions. But
                       sometimes it's done for a real good reason. Think
                       threats, and stalking. Deranged randos. Creepy
                       exes. People have for years been writing tweets
                       with the expectation that the worst people in their
                       lives can't see them. That's no longer the case,
                       and this is all timed, very coincidentally, with
                       election day.


                # ⚓ Street-parking?_You_need_an_app_for_that⠀⇛


                       Yesterday we visited an acquaintance in another
                       city.


                       Parking on the streets in the area now requires a
                       mobile app. This is the only way you can pay for
                       your parking.


                       The vendor-machine that sells the parking tickets
                       was replaced a few years ago. The new machine
                       doesn't print out parking tickets, you have to
                       enter the license plate and pay your fee, with cash
                       or a card.


                       Yesterday we discovered that these machines have
                       been removed. A new shield is affixed high on the
                       lampposts in various locations in the neighborhood,
                       stating only an parking area code that you have to
                       enter in some app, and that failure to do so will
                       lead to a parking fine.


                # ⚓ Sample_NNCP_Configuration_File⠀⇛


                       When I started using NNCP, I had a lot of trouble
                       navigating its configuration file. I feel it is
                       poorly documented: a newly-generated config file
                       works as-is, but most of the features have little
                       explanation, and there's no clarification about
                       which options are mandatory and which are not. Most
                       information can be found on NNCP's homepage^, but
                       even that doesn't cover everything.


                # § Internet/Gemini⠀➾


                      # ⚓ Name_one_capsule⠀⇛


                             Hi BBS, let's play a game. Name one capsule
                             that you like (and that's *not* your own),
                             and say a few words about why you like it.
                             And to be fair, don't choose one that's
                             already been chosen in the thread.


                      # ⚓ Gomphotherium_helps_you_forget⠀⇛


                             If you use GoToSocial, like I do, then your
                             posts do not expire. Mastodon, on the other
                             hand, has that feature.


                             Now, you could use Mastodon Archive. But that
                             makes you archive your toots before expiring
                             them.


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





                    ䷩ 𝚕𝚒𝚗𝚎 5073

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Gemini Links 05/11/2024: Halloween Over,
Intention and Implementation, Bookmark Syncing⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█
⌧


posted by Roy Schestowitz on Nov 05, 2024


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


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * Gemini*_and_Gopher
          o Personal/Opinions
          o Science
          o Technology_and_Free_Software
                # Internet/Gemini
    * § Gemini* and Gopher⠀➾


          o § Personal/Opinions⠀➾


                # ⚓ my_first_novel⠀⇛


                       The shadow lights up my face and stirs in me a
                       giddy happiness. I can't stop myself from hiding
                       the faint trace of a smile ever since she appeared,
                       breaking through the cold, damp morning of this
                       tender winter, when the earth is still drinking its
                       first drops of rain. There are rays of light
                       piercing the mist like needles through cotton,
                       striking the translucent glass of the window in my
                       studio, where, at this hour, I try to begin my
                       first novel.


                # ⚓ Halloween_Is_Over,_Time_to_Prep_Winter_Wear⠀⇛


                       Hopefully folks got some good candy, saw some good
                       decorations and costumes! I saw a group of adults
                       dressed up as the Minions yelling "BANANA" over and
                       over again, but on the bright side, I got a box of
                       48 full sized Snickers bars! I also got to hear
                       "The Monster Mash" about a half dozen times, so
                       things were good. The ladybugs have been pretty bad
                       these last few weeks though, including today...
                       Already had to rescue about 10 of them from my
                       office today.


                       I was really hoping my next post would be written
                       at a computer I don't own, like a public library
                       computer, but I don't have that system in place
                       yet, heavily based on the system I mentioned in my
                       journal post "Finally Found My Human Calculatable
                       Hash Function". That system is nearly done though,
                       so hopefully my next post can be done via that
                       system.


                # ⚓ Infinite_Time_in_Heaven_and_Infinite_Souls_in_Hell?⠀⇛


                       Suppose that God could create a universe at time
                       t=0 containing a countably infinite number of
                       sentient beings (hereinafter "persons" or
                       "people"). He sets up a one-to-one correspondence
                       between the people and the positive integers: every
                       person gets a unique integer, and all the positive
                       integers are used.


                       At t=0, everyone is suffering the torments of Hell,
                       and believes that they will continue for all
                       eternity. Everyone would choose nonexistence over
                       their current state, if that were an option. At
                       t=1sec, person #1 is released from Hell and taken
                       to Heaven, where they will enjoy eternal happiness;
                       none of the other occupants of Hell knows that this
                       has happened and that their suffering might end. At
                       t=2, person #2 is translated to eternal bliss; and
                       so forth.


                # ⚓ Monday-2⠀⇛


                       Kind of a slow day on the home front, but that'll
                       be changing mid-afternoon, as three vocalists will
                       be arriving to rehearse for a performance tomorrow
                       night.


                       My wife and I have agreed that our process enabling
                       others to perform with us is causing us too much
                       heartache and misery, so we think we've come up
                       with improved parameters and/or expectations of
                       others, because we honestly don't need others to
                       put on a great show.


                # ⚓ BEASTARS_is_GOOD⠀⇛


                       First of all, everything hits harder when you are
                       sleep-deprived. Lucky for me I didn't sleep at all
                       last night. So today at 6am I started watching
                       BEASTARS. I found out about it through the title
                       song for season two because it is a song on osu! So
                       far I love the show, but when I watched it I got
                       really immersed. It made me feel the atmosphere of
                       the show.


          o § Science⠀➾


                # ⚓ Wilting_flowers_and_resource_management⠀⇛


                       Some interesting research shows that (1) plants
                       reuse resources from wilting flowers, and (2) the
                       resources are stored away with a view toward a
                       long-term resource strategy.


          o § Technology and Free Software⠀➾


                # ⚓ Intention_and_Implementation⠀⇛


                       One of the most fun parts of a project, for me at
                       least, is in the inception and planning phase.
                       Sure, it has its own share of headaches, especially
                       when other people are involved (as I well know as a
                       software engineer), but it's one of the most fun
                       parts of a project. There's this joyful optimism
                       and hope that pervades that kind of work, where you
                       get to plan out all the amazing things you want to
                       do, figure out how it could be done (at least at a
                       high level), map out where you want to go, and the
                       like. There's this sort of sky's-the-limit feeling
                       that gets you super motivated and energized about
                       it.


                # ⚓ Playdate:_The_Keyper⠀⇛


                       Today, I bought The Keyper on Playdate. I also
                       completed it today.


                       Normally, people would think that is terrible.
                       However, with the Playdate, it works well. The
                       Keyper tells the tale of a nephew who's uncle has
                       died/disappeared and is offered the job of being
                       caretaker for a large building. You start and
                       discover all of the keys are missing! Oh no!


                # § Internet/Gemini⠀➾


                      # ⚓ Self-hosted_web_browser_bookmarks_syncing⠀⇛


                             This blog post is about Floccus, a self-
                             hosting web browser bookmarks and tabs
                             syncing software.


                             What is cool with Floccus is that it works on
                             major web browsers (Chromium, Google Chrome,
                             Mozilla Firefox, Opera, Brave, Vivaldi and
                             Microsoft Edge), allowing sharing bookmarks/
                             tabs without depending on the web browser
                             integrated feature, but it also supports
                             multiple backends and also allow the sync
                             file to be encrypted.


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





                    ䷩ 𝚕𝚒𝚗𝚎 5276

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Links 05/11/2024: Bluesky and
Enshittification, Pugad Baboy, and Lots of Disinformation Flooding the
Web⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Nov 05, 2024


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


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * Leftovers
          o Science
          o Career/Education
          o Health/Nutrition/Agriculture
          o Proprietary/Artificial_Intelligence_(AI)
          o Security
                # Integrity/Availability/Authenticity
                # Privacy/Surveillance
          o Defence/Aggression
          o Transparency/Investigative_Reporting
          o Environment
                # Energy/Transportation
                # Wildlife/Nature
                # Overpopulation
          o AstroTurf/Lobbying/Politics
          o Censorship/Free_Speech
          o Freedom_of_Information_/_Freedom_of_the_Press
          o Civil_Rights/Policing
          o Internet_Policy/Net_Neutrality
          o Monopolies/Monopsonies
                # Copyrights
    * § Leftovers⠀➾


          o ⚓ Justin Vollmer ☛ Bluesky_and_Enshittification⠀⇛


                 I like the idea of this website being my home on the
                 [Internet], my little corner of the web, and being able
                 to syndicate from here to the world. I like being able to
                 point friends, family, coworkers, and anyone who is
                 curious to a single location, from which they can read my
                 thoughts, and learn about who I am, and what I value.


          o ⚓ Roy Tang ☛ PH_Comic_Strips:_Pugad_Baboy⠀⇛


                 Pugad Baboy is also known for it's longer story arcs
                 (these are hit or miss for me) and also for being one of
                 the comic strips that are unafraid to comment on PH
                 politics and current events: [...]


          o ⚓ Juha-Matti Santala ☛ The_Non-Prime_Regex_is_in_the_cross-section
            of_two_of_my_interests⠀⇛


                 Roughly 4.5 years ago I shared in this blog my interest
                 for recreational mathematics. Yes, I’m that kind of geek.


                 I’ve been keeping up with my hobby throughout these
                 years.


                 I also have confessed my love for regular expressions.


          o § Science⠀➾


                # ⚓ Science Alert ☛ This_Flesh-Eating_'Terror_Bird'_May_Have
                  Stood_Over_3_Meters_Tall⠀⇛


                       Phorusrhacid 'terror birds' stalked what's now
                       Colombia's Tatacoa Desert around 12 million years
                       ago, among car-sized armadillo relatives, giant
                       sloths, and saber-toothed marsupial cousins.


                       The recently analyzed fossil suggests this specimen
                       was far larger than its relatives, which have been
                       estimated to range from 1 to 3 meters (3 and 9
                       feet) in height.


                # ⚓ Omicron Limited ☛ Fossil_of_huge_terror_bird_offers_new
                  information_about_wildlife_in_South_America_12_million_years
                  ago⠀⇛


                       Now a desert, scientists believe this region was
                       once an environment full of meandering rivers. This
                       giant bird lived among primates, hoofed mammals,
                       giant ground sloths and armadillo relatives,
                       glyptodonts, that were the size of cars. Today, the
                       seriema, a long-legged bird native to South America
                       that stands up to 3-feet-tall, is thought to be a
                       modern relative of Phorusrhacid.


                # ⚓ Michigan News ☛ The_Taurid_meteor_showers_peak_a_week_apart
                  in_November⠀⇛


                       While the two showers only produce around five
                       visible meteors per hour under ideal viewing
                       conditions, they are often very bright fireballs,
                       said Sally Brummel, planetarium manager at the
                       University of Minnesota’s Bell Museum.


                       “What’s notable is that they’re likely to produce
                       brighter and longer-lasting meteors than some other
                       showers, even if there aren’t as many” at a time,
                       she said.


          o § Career/Education⠀➾


                # ⚓ Alex Ewerlöf ☛ Breaking_a_role_into_multiple_titles⠀⇛


                       Narrow titles, typically create single-minded
                       professionals who only care about their perception.
                       The problem is that many decisions are multi-
                       dimensional and require building a perspective from
                       multiple perceptions. This is very tricky to get
                       right, and leads to delay, expensive, and sometimes
                       wrong decisions.


                # ⚓ Omicron Limited ☛ What_the_Thai_cave_rescue_can_teach_us
                  about_unconventional_leadership⠀⇛


                       The 17-day rescue operation involved a co-ordinated
                       response from thousands of people, including 2,000
                       soldiers, 200 divers and personnel from 100
                       government agencies. The success of the operation
                       was largely due to an unconventional group of
                       leaders: an international group of cave divers
                       whose unique expertise was vital to the rescue
                       effort.


                       Our recent research on the rescue aimed to explore
                       how leadership can emerge outside of the
                       traditional chain of command. To do this, we
                       analyzed a documentary and news coverage about the
                       rescue, along with scientific literature and online
                       searches, including LinkedIn profiles.


                # ⚓ Rachel ☛ I've_had_a_change_of_heart_regarding_employee
                  metrics⠀⇛


                       Why? It's surprisingly simple. It's the job of a
                       manager to know what their reports are up to, and
                       whether they're doing a good job of it, and are
                       generally effective. If they can't do that, then
                       they themselves are ineffective, and *that* is the
                       sort of thing that is the responsibility of THEIR
                       manager, and so on up the line. They shouldn't need
                       me (or anyone else) to tell them about what's going
                       on with their damn direct reports!


          o § Health/Nutrition/Agriculture⠀➾


                # ⚓ Deseret Media ☛ Limiting_babies'_exposure_to_sugar_may
                  protect_from_disease_later⠀⇛


                       A new study published in the journal Science finds
                       that a low-sugar diet in utero and for baby's first
                       two years offers "meaningful" risk reduction for
                       chronic disease as an adult. Those with sugar
                       restrictions during those first couple of years had
                       as much as a 35% reduced risk of developing Type 2
                       diabetes and as much as 20% less risk of
                       hypertension. "Low sugar intake by the mother prior
                       to birth was enough to lower risks, but continued
                       sugar restrictions after birth increased the
                       benefits," per a news release on the study.


                # ⚓ The Hill ☛ Kroger_settles_opioid_lawsuit_for_$1.4_billion⠀⇛


                       Supermarket chain Kroger has finalized a nearly
                       $1.4 billion agreement to settle the majority of
                       the claims made by states, counties and Native
                       American tribes that accused the company of helping
                       fuel the opioid epidemic.


                # ⚓ The Independent UK ☛ Pregnant_teenager_died_trying_to_get
                  help_on_three_trips_to_Texas_ERs⠀⇛


                       A healthcare policy professor believes that strict
                       abortion laws enacted by Republican states have
                       made pregnant women "untouchables" — and have
                       resulted in their deaths.


                # ⚓ The Independent UK ☛ Ban_to_stop_children_from_ever_smoking
                  a_cigarette_to_be_introduced_in_Parliament⠀⇛


                       The Tobacco and Vapes Bill, which aims to create
                       the “first smoke-free generation”, will prevent
                       anyone born after 1 January 2009 from legally
                       smoking by gradually raising the age at which
                       tobacco can be bought,


                # ⚓ Hindustan Times ☛ Is_your_child_breathing_in_poor_learning,
                  memory-harming_air_pollutants?_What_parents_need_to_know
                  about_toxic_AQI⠀⇛


                       Previous studies have found ammonium nitrate to
                       heighten risk of ageing-related conditions such as
                       Alzheimer's and dementia -- in which cognition and
                       memory is affected, suggesting that long-term
                       exposure to PM2.5 can cause neurocognitive harm
                       across one's lifespan.


                # ⚓ Tedium ☛ Tedium_As_Palate_Cleanser:_Get_Your_Mind_Off_The
                  Pre-Election_Chaos⠀⇛


                       Today in Tedium: The odds are that, based on my
                       recent schedule, this will be the last issue of
                       Tedium before the 2024 presidential election. I’m
                       not really expecting a lot of breaking news in the
                       market for tedium. (As our about page states,
                       tedium is noted for its pattern of stillness, which
                       one cannot say about an election.) But I do think
                       there is something to be said about a moment of zen
                       amid chaos. I am not perfect at this. Some people
                       meditate or spend entire weekends in the woods. I,
                       instead, like digging into Tedium. And with that in
                       mind, tonight’s pre-election Tedium attempts to
                       make the case for Tedium as a palate cleanser.
                       Because, let’s be honest, we need it right now. —
                       Ernie @ Tedium


                # ⚓ Rach Smith ☛ Social_skills⠀⇛


                       ”Yes. Social skills are like maths, english or
                       soccer skills, they can all be practised. But just
                       like those other types of skills some people find
                       them easier to learn than others. And we all have
                       different things we are good at. You’re only in
                       grade 1 so you and your school friends are still
                       learning about social skills, so you’re all going
                       to make mistakes sometimes, and that’s okay. It’s
                       part of learning and getting better.”


          o § Proprietary/Artificial Intelligence (AI)⠀➾


                # ⚓ Darren Goossens ☛ URLs_with_parentheses_and_other_naughty
                  characters⠀⇛


                       Now, these codes do show up as codes, not brackets,
                       in EndNote and in Word, but the URL does work when
                       clicked. These codes are part of the HTML standard,
                       so it is the browser that translates them, not
                       EndNote. Hence they pass through EndNote unchanged
                       and end up in your Word file.


                # ⚓ Pivot to AI ☛ Silicon_Valley_and_Wall_Street_invent
                  collateralized_GPU_obligations._Surely_this_will_work_out
                  fine_–_Pivot_to_AI⠀⇛


                       The zero-interest era is over. Money isn’t free
                       anymore. How can Silicon Valley venture capital,
                       and the rest of Wall Street, generate lottery-
                       winning yield levels in this economy?


                # ⚓ The Register UK ☛ Black_screens_persist_for_Windows_10_AVD
                  users⠀⇛


                       In this instance, Microsoft has admitted that there
                       are still problems for Azure Virtual Desktop (AVD)
                       users after the installation of July's non-security
                       preview update (KB5040525).


                       The issue manifests as a black screen following a
                       login to AVD that can last between 10 and 30
                       minutes. Additionally, single sign-on (SSO) for
                       Office applications such as Outlook and Teams might
                       have problems, while other apps in the suite might
                       lose connectivity.


                # ⚓ Nick Heer ☛ Humane_Is_Trying_to_License_Its_Operating
                  System,_a_Move_It_Swears_Was_the_Strategy_All_Along⠀⇛


                       There is a diagram in this article illustrating the
                       difference between the architecture of a
                       “traditional O.S.” and that of this “A.I. operating
                       system”, and I think I understand it — but only
                       kind of. The way I interpret Malik’s explanation is
                       that it works almost like a mix of plugins and a
                       sort of universal data layer.


                # ⚓ Marcy Wheeler ☛ NYT's_Sample_Versus_Early_Vote⠀⇛


                       At this stage in the Presidential race should start
                       to show some herding towards what we’re seeing in
                       the early vote. But NYT’s last poll suggests NYT
                       was inconsistent in doing so.


                       This table attempts to compare how many people in
                       NYT’s state-by-state samples said they had already
                       voted, as compared to the demographics of those
                       who’ve actually voted.


                # ⚓ [Old] The Atlantic ☛ Facebotlish:_Understanding_an_AI's
                  Non-Human_Language⠀⇛


                       In the case of Facebook’s bots, however, there
                       seems to be something more language-like occurring,
                       Facebook’s researchers say. Other AI researchers,
                       too, say they’ve observed machines that can develop
                       their own languages, including languages with a
                       coherent structure, and defined vocabulary and
                       syntax—though not always actual meaningful, by
                       human standards.


                # ⚓ Google_execs_grilled_by_staff_over_cost-cutting_measures_-
                  while_dressed_in_Halloween_costumes⠀⇛


                       This year’s Halloween will live long in the memory
                       of Google employees who watched their senior execs
                       respond to questions about the possibility of cost-
                       cutting measures, including layoffs, while dressed
                       in costumes.


                # ⚓ TechStory Media ☛ Oracle_Cuts_Hundreds_of_Jobs_in_Cloud
                  Division⠀⇛


                       Oracle Corporation has cut off several hundred
                       workers in its Oracle Cloud Infrastructure (OCI)
                       subsidiary as part of a recent wave of layoffs in
                       the tech sector. As the firm looks to maximize its
                       staff and concentrate resources on high-growth
                       sectors, reports suggest that Oracle is
                       implementing these layoffs as part of its
                       continuous strategy to adapt its operations in
                       response to changing needs in the cloud computing
                       sector.


          o § Security⠀➾


                # § Integrity/Availability/Authenticity⠀➾


                      # ⚓ The Independent UK ☛ Oasis_fans_falling_for_ticket
                        scams_have_lost_£346_on_average,_major_bank_finds⠀⇛


                             Oasis fans who have fallen victim to scams
                             amid the rush to buy tour tickets have lost
                             £346 on average, according to analysis by a
                             major bank of reports made by its own
                             customers.


                # § Privacy/Surveillance⠀➾


                      # ⚓ Papers Please ☛ TSA_launches_smartphone-based_digital
                        ID_scheme⠀⇛


                             Brushing off objections from the Identity
                             Project and others, the US Transportation
                             Security Administration (TSA) has issued
                             regulations creating the framework for an
                             all-purpose smartphone-based national digital
                             ID and tracking system.


                             The TSA’s new rules are piggybacked on the
                             REAL-ID Act of 2005, and are ostensibly
                             standards for what states will have to do to
                             issue digital versions of driver’s licenses
                             or ID cards that the TSA and other Federal
                             agencies will accept for Federal purposes, in
                             circumstances where ID is required by other
                             Federal laws. This doesn’t include airline
                             travel, for which no ID is legally required,
                             although the TSA keeps lying about this.


                             The TSA’s new rules provide that acceptable
                             digital IDs can only be issued to individuals
                             who already have physical driver’s licenses
                             or state-issued ID cards. And individuals are
                             still required by standard state laws to
                             “have their Physical Credential on their
                             person while operating a motor vehicle”, even
                             if they also have a digital ID on their
                             smartphone. So this regulatory scheme isn’t
                             really about driver’s licenses at all. It’s
                             about pressuring states to move from
                             uploading information about all their
                             residents to a national ID database to
                             putting a digital tracking app with a state-
                             issued identifier on each resident’s
                             smartphone.


                      # ⚓ The Independent UK ☛ Many_smart_devices_gathering
                        ‘excessive’_amounts_of_personal_data,_says_Which?⠀⇛


                             According to the report, all three air fryer
                             products tested wanted to know a user’s
                             precise location and wanted permission to
                             record audio on a user’s phone, for no
                             specified reason.


                             Which? said one of the air fryers – made by
                             Chinese firm Xiaomi – used a connected app
                             which linked to trackers from Facebook, an ad
                             network linked to TikTok and, depending on
                             location, Chinese tech giant Tencent.


                      # ⚓ The Guardian UK ☛ Is_your_air_fryer_spying_on_you?
                        Concerns_over_‘excessive’_surveillance_in_smart
                        devices⠀⇛


                             The organisation tested three air fryers,
                             increasingly a staple of British kitchens,
                             each of which requested permission to record
                             audio on the user’s phone through a connected
                             app.


                             Smart air fryers allow cooks to schedule
                             their meal to start cooking before they get
                             home. Not all air fryers have such
                             functionality but those that do often use an
                             app installed on a smartphone.


          o § Defence/Aggression⠀➾


                # ⚓ Atlantic Council ☛ US_absence_in_the_world_is_as_dangerous
                  as_US_weakness⠀⇛


                       Some on the conservative side of the political
                       spectrum have bemoaned this weakness while at the
                       same time eagerly trumpeting their isolationist
                       impulses. Yet on the world stage, there are many
                       similarities between a weak United States and an
                       absent United States. Both foster an international
                       environment that is harmful to US interests,
                       objectives, and priorities. Thus, it is time for
                       conservatives to reconsider their national security
                       positions to avoid producing the same disastrous
                       results that have been evident during the current
                       administration. Weakness and absence are strategic
                       cousins that degrade deterrence and make adversary
                       aggression much more likely.


                # ⚓ The Atlantic ☛ Musk's_Twitter_Is_the_Blueprint_for_a_MAGA
                  Government⠀⇛


                       Ramaswamy’s invocation of Twitter is meaningful. In
                       2022, after acquiring the social network, Musk
                       infamously purged Twitter’s ranks and fired 80
                       percent of its employees in the first six months,
                       and then made a series of management decisions that
                       ultimately threw the company into further financial
                       disarray. Listening to Ramaswamy speak and hearing
                       the respect in his voice as he cited the
                       centibillionaire’s tenure, it became clear that he
                       sees a blueprint for the Trump administration.
                       Should Musk be appointed as a federal firing czar,
                       it will likely not be because of his electric cars
                       or rockets or internet-beaming satellites: It will
                       be because he acted out the dream of draining the
                       swamp, albeit on a smaller scale. Musk’s purchase
                       of Twitter is not just a Republican success story;
                       it is the template for the MAGA federal government.
                       Even Musk’s mom said as much in a recent interview
                       with Fox News: “He’s going to just get rid of
                       people who are not working, or don’t have a job, or
                       not doing a job well, just like he did on Twitter …
                       He can do it for the government, too.”


                # ⚓ Marcy Wheeler ☛ What_It_Would_Take_to_Charge_Donald_Trump
                  with_Inciting_Insurrection⠀⇛


                       That’s one reason I’ve been thinking about the
                       January 6 impeachment: because, in fact, it was
                       McConnell’s job to disqualify Trump from running
                       this race, and McConnell chickened out. Oh, I think
                       there are things that might have altered the
                       outcome of impeachment. Most notably, I think Nancy
                       Pelosi made a mistake in not appointing Liz Cheney
                       to the prosecution team. That would have given
                       Cheney an earlier opportunity to play the
                       formidable leadership role that she later played on
                       the January 6 Committee. Cheney, as a member of GOP
                       leadership, was witness to conversations involving
                       Mike Johnson and Kevin McCarthy that might have
                       tipped the decision to call witnesses. And as her
                       support for Kamala Harris’ campaign has shown, she
                       has the stature to persuade Republicans to put
                       country over party.


                # ⚓ The Atlantic ☛ The_Real_Election_Risk_Comes_Later⠀⇛


                       The more pressing concern, however, is what happens
                       after Tuesday, in that period, fraught with
                       impatience, between when election workers are
                       counting votes and the results are confirmed.
                       During this interval—which may be only hours, but
                       may run to days in some places—there will be little
                       actual news and many attempts to create some: At
                       the very moment when a watchful press will be
                       desperate for new developments, conspiracy
                       theorists and Donald Trump’s allies will be intent
                       on sowing chaos and doubt.


                # ⚓ Sightline Media Group ☛ States_put_National_Guard_on
                  standby_in_case_of_election_violence⠀⇛


                       In a joint bulletin, DHS and the FBI warned of
                       potential violence from domestic extremists who
                       believe claims of election fraud or harbor anger
                       toward perceived political adversaries. The
                       agencies wrote that extremists would likely target
                       voting locations, ballot drop-boxes, voter
                       registration locations, political rallies, campaign
                       events and the offices of political parties.


                # ⚓ The Strategist ☛ How_and_why_Russia_is_conducting_sabotage
                  and_hybrid-war_offensive⠀⇛


                       In the US, Russia is refraining from sabotage, but
                       it’s working hard on disinformation.


                       The head of MI5 warned in October that agents of
                       Russia’s military intelligence agency, the GRU, had
                       conducted arson attacks, sabotage and other
                       dangerous actions ‘with increasing recklessness’.
                       His MI6 counterpart said Russian intelligence
                       services had gone ‘a bit feral’.


                # ⚓ The Local SE ☛ Sweden_blocks_13_offshore_wind_farms:
                  'Unacceptable_consequences_for_defence'⠀⇛


                       According to the Armed Forces, the wind turbines
                       above the water risk obstructing the view of
                       important security systems, and the parks
                       themselves affect sensors both above and below the
                       surface.


                # ⚓ France24 ☛ Parents_of_French_teenagers_who_took_own_lives
                  sue_TikTok_over_harmful_content⠀⇛


                       Seven French families have filed a lawsuit against
                       social media giant TikTok, accusing the platform of
                       exposing their adolescent children to harmful
                       content that led to two of them taking their own
                       lives at 15, their lawyer said on Monday.


                       The lawsuit alleges TikTok's algorithm exposed the
                       seven teenagers to videos promoting suicide, self-
                       harm and eating disorders, lawyer Laure Boutron-
                       Marmion told broadcaster franceinfo.


                # ⚓ The Scotsman ☛ Donald_Trump_puts_democracy_and_the_free
                  world_at_risk⠀⇛


                       What his compatriots are being asked to choose
                       between is not just two visions of the future but
                       two ways of life. Two completely different concepts
                       of a modern country.


                # ⚓ The Independent UK ☛ New_York_Times_shares_searing_112-word
                  warning_against_Trump_winning_election⠀⇛


                       The New York Times’s editorial board has issued a
                       strongly-worded denunciation of Donald Trump's the
                       presidential election looms, telling readers the
                       Republican nominee “is unfit to lead” and a serial
                       liar whose policies are “cruel” and will only
                       “wreak havoc” on the nation.


                       Without explicitly endorsing his Democratic rival
                       Kamala Harris in the piece, the board wrote a
                       searing 112-word op-ed warning of a possible Trump
                       second term.


                # ⚓ The Guardian UK ☛ What_if_Trump’s_campaign_is_cover_for_a
                  slow-motion_coup?⠀⇛


                       In theory, Republicans could seize the chance at
                       last to break with Trump, who, after all, has only
                       delivered defeats to the party. He has stated that
                       he will not run again (though it would of course be
                       naive to take any of his promises at face value).
                       Yet there were already plenty of incentives to get
                       rid of Trump in early 2021, and still Republicans
                       did not disown, let alone impeach, him.


                       Most worryingly, Maga members have been primed to
                       resort to violence. Trump and his allies –
                       including the world’s richest man, who just happens
                       to be a rightwing extremist – have framed the
                       election as an apocalyptic battle. If Democrats
                       win, Musk has claimed, there will not be any proper
                       elections ever after; they will bring in more
                       foreigners to secure a permanent majority. It is
                       already half forgotten that Trump held his first
                       major rally this election cycle in Waco, Texas.


                # ⚓ VOA News ☛ French_families_sue_TikTok_over_alleged_failure
                  to_remove_harmful_content⠀⇛


                       Seven French families have filed a lawsuit against
                       social media giant TikTok, accusing the platform of
                       exposing their adolescent children to harmful
                       content that led to two of them taking their own
                       lives at 15, their lawyer said on Monday.


                       The lawsuit alleges TikTok's algorithm exposed the
                       seven teenagers to videos promoting suicide, self-
                       harm and eating disorders, lawyer Laure Boutron-
                       Marmion told broadcaster franceinfo.


                # ⚓ Digital Music News ☛ TikTok_Is_Busy_Signing_Indie_Label
                  Deals_Without_Merlin⠀⇛


                       According to those sources, the compensation terms
                       provided under the new individual offers are not
                       any better or worse than Merlin’s collective
                       bargaining. But that doesn’t mean no changes at
                       all. The big one? TikTok is not paying out music
                       licensors based on views a song receives, rather
                       than new creations. TikTok calculates market share
                       based on views and the payment to the licensor is
                       divided up from there—but that doesn’t mean there’s
                       now a certain royalty amount per view.


                # ⚓ Penske Media Corporation ☛ Merlin's_TikTok_License_Has
                  Expired._What_Happens_to_Indie_Music_Now?⠀⇛


                       Instead, Merlin explained, TikTok wanted to forge
                       deals with most of the labels and distributors the
                       coalition represented directly, a move that Merlin
                       read as an attempt to “fragment” its membership and
                       “minimize” payments for indie music. (TikTok says
                       it walked away from negotiations with Merlin due to
                       concerns about fraudulent content from certain
                       Merlin members making its way onto the social media
                       app. The company also says it wanted to form closer
                       relationships with Merlin members.)


                # ⚓ New York Times ☛ Right-Wing_Groups_Are_Organizing_on
                  Telegram_Ahead_of_Election_Day⠀⇛


                       Groups backing former President Donald J. Trump
                       recently sent messages to organize poll watchers to
                       be ready to dispute votes in Democratic areas. Some
                       posted images of armed men standing up for their
                       rights to recruit for their cause. Others spread
                       conspiracy theories that anything less than a Trump
                       victory on Tuesday would be a miscarriage of
                       justice worthy of revolt.


                # ⚓ CS Monitor ☛ What_happens_if_Trump_tries_to_overturn
                  another_election?⠀⇛


                       Yet while post-election chaos is possible, 2024 is
                       unlikely to be a replay of 2020. The system has
                       been strengthened: Congress passed legislation
                       making clear that elected officials cannot reject
                       the will of the voters. And states and localities
                       have worked assiduously to harden the voting
                       process against attacks. Mr. Trump also doesn’t
                       have control over the military or Justice
                       Department this time around, and it will be Vice
                       President Harris, not Vice President Mike Pence,
                       presiding over the Electoral College count in
                       Congress.


                       In speeches, social media posts, and interviews,
                       former President Donald Trump has been signaling
                       that he is highly likely to challenge the election
                       results should he lose on Tuesday. The big question
                       is what may happen next.


                # ⚓ The Atlantic ☛ How_Is_the_Election_This_Close?⠀⇛


                       A little over a week ago, campaigning in Kalamazoo,
                       Michigan, former First Lady Michelle Obama had a
                       moment of reflection. “I gotta ask myself, why on
                       earth is this race even close?” she asked. The
                       crowd roared, but Obama wasn’t laughing. It’s a
                       serious question, and it deserves serious
                       consideration.


                # ⚓ YLE ☛ Monday's_papers:_Russia_fears,_ADHD_misdiagnosis_and
                  mindful_sweating⠀⇛


                       Former Finnish President Sauli Niinistö's report on
                       enhancing EU civilian and defence preparedness,
                       published last week, is still making headlines.


                       In the report, Niinistö said that the threat posed
                       by Russia is now at the highest level since the
                       Cold War. Ilta-Sanomat asked how concerned Finns
                       should be about a confrontation between [NATO] and
                       Russia.


                # ⚓ YLE ☛ Niinistö_unveils_report_on_enhancing_EU_civilian_and
                  defence_preparedness⠀⇛


                       "Threats don't stop at our borders, they cascade
                       between the interconnected sectors of our economy,"
                       said Niinistö, adding that "if we are not doing all
                       we can for our own security, we cannot expect
                       others to do it for us."


          o § Transparency/Investigative Reporting⠀➾


                # ⚓ Vox ☛ Elections_2024:_How_Peanut,_a_euthanized_pet
                  squirrel,_became_a_Republican_talking_point⠀⇛


                       The more one discovers about Peanut, the more
                       questions arise. That said, here’s one attempt to
                       parse the story of how a charming rodent somehow
                       became the only thing Republicans were interested
                       in less than 24 hours before Election Day.


          o § Environment⠀➾


                # ⚓ The Guardian UK ☛ Why_did_so_many_die_in_Spain?_Because
                  Europe_still_hasn’t_accepted_the_realities_of_extreme
                  weather⠀⇛


                       From the global north’s vantage point, the climate
                       crisis, caused by the burning of coal, oil and gas,
                       has long been seen as a distant threat, affecting
                       poor people in the global south. This misconception
                       has perpetuated a false sense of security.


                       Scientists have long known that heating the climate
                       with fossil fuel emissions will result in the
                       intensification of floods, storms, heatwaves,
                       drought and wildfires. However, it was not until
                       2004 that the first attribution study formally
                       linked a weather event – the devastating 2003
                       European heatwave – to our changing climate.
                       Despite the evidence, people have been hesitant to
                       connect extreme weather with the climate crisis.


                # § Energy/Transportation⠀➾


                      # ⚓ FAIR ☛ When_Lights_Go_Out_in_Cuba,_Media_Blame
                        Communism—Not_US_Sanctions⠀⇛


                             Reporting on Cuba’s blackouts have either
                             omitted or paid brief lip-service to the
                             effects of US sanctions on the Cuban economy,
                             and how those sanctions have created the
                             conditions for the crisis. Instead, media
                             have focused on the inefficient and
                             authoritarian Communist government as the
                             cause of the island’s troubles.


                      # ⚓ The Washington Post ☛ Russia_suspected_in_plot_to
                        target_cargo_planes_in_Europe_and_the_U.S.⠀⇛


                             European security officials have linked
                             suspected Russian operatives to a plot to
                             smuggle incendiary devices onto a cargo plane
                             in Germany, in what investigators believe may
                             have been a trial run for future attacks
                             targeting North America-bound aircraft.


                      # ⚓ DeSmog ☛ Beyond_Action_for_Action’s_Sake:_Why_the
                        Climate_Crisis_Demands_More_Than_Relentless
                        Positivity⠀⇛


                      # ⚓ DeSmog ☛ Q&A:_‘Don’t_Be_Afraid_of_Your_Voice._Because
                        It_Will_Make_a_Difference.’⠀⇛


                      # ⚓ DeSmog ☛ Tory_Leader_Kemi_Badenoch’s_Views_on_Climate
                        Change⠀⇛


                # § Wildlife/Nature⠀➾


                      # ⚓ The Revelator ☛ India’s_Plans_to_‘Develop’_Great
                        Nicobar_Island_Threatens_Its_Unique_Wildlife_and
                        Indigenous_Peoples⠀⇛


                      # ⚓ The Independent UK ☛ Peanut_the_Squirrel_owner_denies
                        using_pet’s_death_to_promote_OnlyFans⠀⇛


                             “Honestly, this still kind of feels surreal,
                             that the state that I live in actually
                             targeted me and took two of the most beloved
                             animals on this planet away, didn’t even
                             quarantine them. They took them from my house
                             and just killed them,” he told the Associated
                             Press in an interview. “We will make a stance
                             on how this government and New York state
                             utilizes their resources.”


                      # ⚓ The Independent UK ☛ Peanuts:_He_made_an_orphaned
                        squirrel_a_social_media_star._Then_authorities
                        euthanized_it⠀⇛


                             A man who took in an orphaned squirrel and
                             made it a social media star says New York
                             state’s decision to seize and euthanize the
                             animal won't go without a response


                      # ⚓ NYPost ☛ P’nut_the_squirrel_fundraising_page_gets
                        over_$158K_in_donations⠀⇛


                             The squirrel’s death has sparked so much fury
                             that it prompted a state lawmaker to propose
                             legislation to improve animal-rights statutes
                             — calling the bill “Peanuts Law: Humane
                             Animal Protection Act.”


                # § Overpopulation⠀➾


                      # ⚓ CBC ☛ We_asked_women_why_they_aren't_having_as_many
                        kids._Turns_out,_it's_complicated⠀⇛


                             Among those who have decided to not have
                             children, two-thirds say they simply don't
                             want them.


                             But polls and data can't always capture the
                             complexity of individual decision making. To
                             take falling birth rates beyond the numbers,
                             CBC spoke with several women about what went
                             into their choices.


          o § AstroTurf/Lobbying/Politics⠀➾


                # ⚓ Pro Publica ☛ Julie_Adams’_Rise_From_Conservative_Activist
                  to_Georgia_Election_Official⠀⇛


                       In an ornate room in Georgia’s Capitol, Julie Adams
                       — a member both of the election board serving the
                       state’s most populous county and of a right-wing
                       organization sowing skepticism about American
                       elections — got the news she was waiting for. And
                       she couldn’t wait to share it.


                       With pink manicured nails that matched her trim
                       pink blazer, she tapped out a message on her phone
                       to a top election lawyer for the Trump campaign and
                       the Republican National Committee. “Got it passed,”
                       she wrote to Gineen Bresso, photographs reviewed by
                       ProPublica show.


                # ⚓ NL Times ☛ Government_advisor_warns_that_Europe_is_far
                  behind_the_US_when_it_comes_to_technology⠀⇛


                       The Netherlands Bureau for Economic Policy Analysis
                       (CPB) has warned that Europe is increasingly
                       lagging behind the United States when it comes to
                       technology. According to the Cabinet's key advisor,
                       the Netherlands has had a close connection with the
                       American economy for years. "But in the last ten
                       years, we have become much more dependent on the
                       Americans than the other way around," said CPB
                       researcher Debby Lanser after new research.


                       The attention has recently been focused on the
                       American presidential elections and the possible
                       consequences of import duties announced by
                       presidential candidate Donald Trump. But the impact
                       of this is "still manageable", according to Lanser.


                # ⚓ India Times ☛ The_art_and_craft_of_earning_in_times_of_AI⠀⇛


                       India accounts for Adobe’s largest employee base
                       outside the US with 8,000 people in five campuses.
                       “Some of our teams are working on the Firefly
                       model, others are operating our GPU (graphics
                       processing unit) cluster while some of them are
                       building services like the Adobe Illustrator,”said
                       Alexandru Costin, vice president of GenAI at Adobe.


                # ⚓ India Times ☛ Tracking_global_AI_policy_play⠀⇛


                       India does not have an AI law but it has rolled out
                       the `10K-cr IndiaAI Mission earlier this year. The
                       mission is indicative of India’s approach — to
                       focus on building AI capabilities through computing
                       infrastructure, skills, datasets and support for AI
                       innovators.


                # ⚓ The Walrus ☛ This_Is_the_Most_Important_Election_in_History
                  |_The_Walrus⠀⇛


                       Efforts to compare this election with other pivotal
                       ones from the past usually start and stop with
                       1860. That year’s election triggered the civil war,
                       which ended legal slavery and transformed the
                       nation. It also reverberated globally, while the
                       question of slavery’s westward “expansion” was, at
                       its heart, settler colonialism. But in 1860, the US
                       was not the superpower it is today. The world had
                       not yet been saturated with its bombs and missiles,
                       its interests and image. This year’s election
                       matters not just for Americans or the people who
                       care about the integrity of the country’s
                       democratic system. It matters for people in Gaza,
                       Lebanon, Ukraine, Taiwan, Guatemala, Haiti, Yemen,
                       Venezuela, Sudan, and all over the world, because
                       the US has its hands in so many conflicts and
                       concerns. In an election dominated mostly by
                       domestic issues, it’s hard to map out trajectories
                       specific to each candidate. But Kamala Harris seems
                       to represent more of the same in terms of American
                       foreign policy, while Donald Trump remains defiant
                       in his vindictiveness, volatility, and chronic
                       lying. He’s also spoken favourably of authoritarian
                       figures like Vladimir Putin, Xi Jinping, and Kim
                       Jong Un.


                       I’ve heard historians make the claim that
                       disinformation isn’t new—and it isn’t: during the
                       lead-up to the civil war, northerners and
                       southerners lived in different realities, in part
                       because the south banned abolitionist press, and
                       once the war broke out, some newspapers blurred the
                       line between propaganda and news. What’s unique now
                       is the scale, speed, and technological prowess of
                       the dis- and misinformation that shape our world.
                       Hence the ability of Trump’s lie that the 2020
                       election was stolen to spread so rapidly or the
                       proliferation of [astroturfer] farms and deepfakes.
                       It’s also hard to compare traditional print media
                       to the vast amounts of data—millions or trillions
                       of data points—that AI models process to form
                       algorithms, ads, chatbots, and so much more.


                # ⚓ India Times ☛ Facebook,_Nvidia_ask_US_Supreme_Court_to
                  spare_them_from_securities_fraud_suits⠀⇛


                       The US Supreme Court is set to consider bids by two
                       tech giants - Meta's Facebook and Nvidia - to fend
                       off federal securities fraud lawsuits in separate
                       cases that could make it harder for private
                       litigants to hold companies to account.


                       After a trio of Supreme Court rulings in June that
                       weakened federal regulators - including the
                       Securities and Exchange Commission that polices
                       securities fraud - the justices may now be poised
                       to rein in the power of private plaintiffs to
                       enforce federal rules aimed at punishing corporate
                       misconduct.


                # ⚓ VOA News ☛ US_tech_firms_warn_Vietnam's_planned_law_to
                  hamper_data_centers,_social_media⠀⇛


                       U.S. tech companies have warned Vietnam's
                       government that a draft law to tighten rules on
                       data protection and limit data transfers abroad
                       would hamper social media platforms and data center
                       operators from growing their businesses in the
                       country.


                # ⚓ Tom's Hardware ☛ Intel_CEO_complains_'this_is_taking_too
                  long'_after_investing_$30B_but_receiving_zero_CHIPS_Act
                  funding⠀⇛


                       "We see the CHIPS Act as a critical thing that we
                       have invested a lot of energy to," said Gelsinger.
                       "As we said on our [earnings] call, we are
                       disappointed by the time it is taking to get it
                       done: it is well over two years since the CHIPS Act
                       passed and over that period I have invested $30
                       billion in U.S. manufacturing and we have seen $0
                       from the CHIPS grants. This is taking too long, we
                       need to get it finished."


                # ⚓ Seth Godin ☛ At_all_costs_|_Seth's_Blog⠀⇛


                       Principles have a priority.


                # ⚓ Sightline Media Group ☛ Many_military_ballots_won’t_be
                  counted_until_after_Election_Day⠀⇛


                       Those nuances include how states handle absentee
                       and overseas military ballots. Only 16 states allow
                       election workers to begin counting votes cast by
                       mail to be processed before Election Day.


                       Fourteen others — including the battleground states
                       of Wisconsin and Pennsylvania — can begin tallying
                       mail-in ballots on Election Day, with some
                       restrictions. The remaining 20 states don’t allow
                       any work to be done on those ballots until after
                       polls close, typically after 8 p.m. local time on
                       election night.


                # § Misinformation/Disinformation/Propaganda⠀➾


                      # ⚓ The Atlantic ☛ Meta_Is_Keeping_Quiet_This_Election⠀⇛


                             What is happening on Facebook now? On the eve
                             of another chaotic election, journalists have
                             found that highly deceptive political
                             advertisements still run amok there, as do
                             election-fraud conspiracy theories. The Times
                             reported in September that the company, now
                             called Meta, had fewer full-time employees
                             working on election integrity and that
                             Zuckerberg was no longer having weekly
                             meetings with the lieutenants in charge of
                             them. The paper also reported that Meta had
                             replaced the war room with a less sharply
                             defined “election operations center.”


                      # ⚓ The Zambian Observer ☛ Voter_fraud_claims_flood
                        social_media_before_US_election⠀⇛


                             Rumours, misleading allegations and outright
                             lies about voting and fraud are flooding
                             online spaces in unprecedented numbers in
                             advance of the US election.


                      # ⚓ The Walrus ☛ Canadian_Media’s_Evolution_In_The
                        Digital_Age⠀⇛


                             With the takeover of the digital era, the old
                             traditional media began to lose momentum.
                             Many Canadians today would rather read news
                             [sic] on digital platforms than spend time
                             and money purchasing newspapers. This shift
                             has affected many industries, including the
                             gaming sector which is now shifting to the
                             use of online casinos to adapt to the digital
                             trend.


                      # ⚓ Techdirt ☛ Editor-In-Chief_Of_RT,_Russia’s_Main
                        Propaganda_Network,_Says_Many_Of_Its_Presenters_Are_AI-
                        Generated_–_If_You_Can_Believe_Her⠀⇛


                             RT, formerly Russia Today, has appeared a few
                             times here on Techdirt. As the long article
                             about RT on Wikipedia explains, the TV
                             channel has morphed from an attempt to create
                             a state-supported international news network
                             along the lines of the BBC or France 24, but
                             one that offered a Russian perspective on the
                             world, to something that is now regarded as
                             little more than a mouthpiece for Kremlin
                             propaganda (disclosure: I was interviewed by
                             Russia Today a couple of times over a decade
                             ago.).


                      # ⚓ Omicron Limited ☛ Psychological_inoculation:
                        Combining_two_simple_tools_could_combat_election
                        misinformation⠀⇛


                             Psychological inoculation, a form of
                             "prebunking" intended to help people identify
                             and refute false or misleading information,
                             uses short videos in place of ads to
                             highlight manipulative techniques common to
                             misinformation, such as emotional language,
                             false dichotomies and scapegoating. The
                             strategy has already been deployed to
                             millions of users of YouTube, Facebook and
                             other platforms, and could be utilized after
                             the U.S. presidential election.


                      # ⚓ India Times ☛ How_Elon_Musk's_own_account_dominates
                        X⠀⇛


                             Musk has posted more than 3,000 times on the
                             site in the past month. During a two-week
                             period in October, Musk's 1,220 posts
                             generated nearly 65,000 engagements on
                             average, according to the Times analysis of
                             Musk's posts over the past year that tallied
                             likes and reposts.


                      # ⚓ Los Angeles Times ☛ Editorial:_Election_results_take
                        time._Ignore_the_conspiracy_theories⠀⇛


                             This is a politically fraught moment. Foreign
                             powers and opportunists have already been
                             spreading disinformation to undermine
                             confidence in the election. Last week, U.S.
                             intelligence agencies blamed Russia for a
                             viral video purporting to show a Haitian
                             immigrant with multiple Georgia IDs claiming
                             to have voted multiple times. Russia is also
                             allegedly responsible for a fake video that
                             purports to show someone destroying ballots
                             marked for Trump in Pennsylvania.


                      # ⚓ Los Angeles Times ☛ What_DecisionDesk_HQ_learned_from
                        calling_2020_election_first⠀⇛


                             Managing the flow of misinformation will be
                             one of the biggest challenges facing news
                             organizations in 2024. In an age of viral
                             social media posts, rumors and falsehoods —
                             whether pushed by campaigns, supporters or
                             foreign adversaries — can easily overshadow
                             the facts. McCoy says his team’s approach
                             remains grounded in real-time data from
                             election officials, insulating them from
                             speculation and unverified reports. “We don’t
                             care if somebody tweets out an election
                             result or if they put a photo up — that’s not
                             a source,” he says.


          o § Censorship/Free Speech⠀➾


                # ⚓ NYPost ☛ Disney_wouldn't_allow_Jessica_Rabbit_in_'Who
                  Framed_Roger_Rabbit'_sequel:_director⠀⇛


                       “The current Disney would never make Roger Rabbit
                       today. They can’t make a movie with Jessica
                       [Rabbit] in it,” he said.


                       Zemeckis claimed Disney would never go there again,
                       pointing out that the company covered her body up
                       for the Disneyland ride Roger Rabbit’s Car Toon
                       Spin ride in 2021 — an update that angered fans.


                # ⚓ TMZ ☛ Peanut_The_Squirrel_Owner_Mark_Longo_Denies_Using
                  Tragedy_to_Promote_Porn⠀⇛


                       Mark's theory ... officials used the animals as a
                       way to get into his home and dig up dirt on his
                       porn biz.


                # ⚓ University of Michigan ☛ Academic_freedom_lecture_to
                  address_extramural_speech⠀⇛


                       Butler’s lecture is titled “Academic Freedom in a
                       Time of Destruction: Reconsidering Extra-Mural
                       Speech,” and will explore how the distinction
                       between intramural and extramural is difficult to
                       define.


                       Butler will address questions such as: [...]


                # ⚓ France24 ☛ Terrorism_trial_opens_in_Paris_for_Islamists
                  accused_of_beheading_teacher_Samuel_Paty⠀⇛


                       Eight people went on trial in Paris on terrorism
                       charges Monday over the beheading of teacher Samuel
                       Paty, who was killed by an Islamic extremist after
                       showing caricatures of Islam's prophet to his
                       middle school students for a lesson on freedom of
                       expression.


                # ⚓ Deutsche Welle ☛ France:_Trial_starts_over_beheading_of
                  teacher_Samuel_Paty⠀⇛


                       Paty had shown cartoons of the Prophet Muhammad in
                       class during a lesson on freedom of expression.
                       Those cartoons had been published by the satirical
                       magazine Charlie Hebdo and resulted in the terror
                       attacks on the publication's offices in January
                       2015 in which 12 people were killed. The two
                       attackers had claimed to "avenge the prophet" —
                       just like Paty's assassin.


                       Last year, a Paris court handed down prison
                       sentences of up to two years to six teenagers in
                       connection with the Paty attack. Four of them
                       received suspended sentences.


                       Now, eight adults are standing trial, two of whom
                       are accused of complicity in the murder.


                # ⚓ VOA News ☛ Trial_opens_in_France_in_beheading_of_teacher
                  over_prophet_cartoons⠀⇛


                       Paty's shocking death left an imprint on France,
                       and several schools are now named after him. Paty
                       was killed outside his school near Paris on Oct.
                       16, 2020, by an 18-year-old Russian of Chechen
                       origin, who was shot to death by police.


                       Those on trial include friends of assailant
                       Abdoullakh Anzorov who allegedly helped purchase
                       weapons for the attack, as well as people who are
                       accused of spreading false information online about
                       the teacher and his class.


                # ⚓ NDTV ☛ Iran_Woman_Who_Stripped_At_University_Not_Seen
                  Since._What_We_Know⠀⇛


                       Two days back, a young Iranian woman took the
                       Internet by storm when she stripped to her
                       underwear on a Tehran university campus, apparently
                       to protest against the country's strict dress code
                       for women. Visuals showed her roaming on the campus
                       of Islamic Azad University as others gaped in
                       surprise. Soon after, security guards detained her
                       and took her away. Her current location is not
                       known.


                # ⚓ France24 ☛ Samuel_Paty:_Terror_trial_opens_over_beheading
                  of_teacher_who_showed_prophet_cartoons_-_France_24⠀⇛


                       [...] The trial comes a year after six teenagers
                       were found guilty of helping the assailant identify
                       Samuel Paty. [...]


                # ⚓ RFERL ☛ Amnesty_Calls_For_Release_Of_Iranian_Woman_Who
                  Removed_Clothes_In_Protest⠀⇛


                       Amnesty International has called for the immediate
                       release of a young woman who took most of her
                       clothes off during an apparent protest against
                       harassment outside her Tehran university on
                       November 2.


                       Iranian authorities arrested the female student -
                       - who has not been identified -- after she stripped
                       to her underwear on the street outside the
                       university.


                # ⚓ France24 ☛ Iran_arrests_female_student_who_stripped_to
                  protest_harassment⠀⇛


                       [...] The woman, who has not been identified, had
                       been harassed inside Tehran's prestigious Islamic
                       Azad University by members of the Basij
                       paramilitary force who ripped her headscarf and
                       clothes, according to reports by several news
                       outlets and social media channels outside Iran.
                       [...]


                # ⚓ CBC ☛ Woman_detained_after_taking_off_clothes_and_walking
                  in_underwear_at_Iran_university⠀⇛


                       CBC News has not independently verified the footage
                       and has not established what happened before and
                       after the videos were filmed.


                # ⚓ Deccan Chronicle ☛ Young_woman_strips_down_in_protest_at
                  Iranian_University⠀⇛


                       The video quickly spread across various Persian-
                       language news platforms, including the Hengaw
                       rights group, IranWire, and Amnesty International.
                       Amidst the discussion, some social media users
                       interpreted the woman’s actions as a deliberate
                       protest against the government’s rigid enforcement
                       of mandatory hijab laws. A user on X, identified as
                       Lei La, remarked, “For most women, being in public
                       in their underwear is one of their worst
                       nightmares. This is a reaction to the authorities’
                       stubborn insistence on the mandatory hijab.”


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


                # ⚓ Site36 ☛ Justice_for_German_journalist:_Four_racists
                  sentenced_for_attack_on_the_island_of_Lesbos⠀⇛


                # ⚓ BIA Net ☛ Journalists_detained_over_reports_on_‘Newborn
                  Gang’⠀⇛


                       Two journalists were detained on Nov 3 as
                       prosecutors in İstanbul have launched an
                       investigation into media reports that alleged the
                       prosecutor of the high-profile “Newborn Gang” case
                       was replaced.


                       The reports had claimed Prosecutor Yavuz Engin who
                       led the inquiry into a criminal network exploiting
                       newborns with health issues, was forced off the
                       case.


                # ⚓ Axios ☛ Trump_says_he_doesn't_mind_if_a_shooter_takes_aim
                  at_"fake_news"_to_get_him⠀⇛


                       Why it matters: Trump, who's in a dead-heat race
                       against Vice President Harris days before voting
                       ends, has been open to seeking retribution against
                       his growing list of perceived enemies. Mainstream
                       news networks and media are not new to the list,
                       but his allusions to violence have become more
                       blatant.


                # ⚓ TMZ ☛ Donald_Trump_Says_He's_Fine_If_Someone_Shoots_'Fake
                  News_Media'_at_Rally⠀⇛


                       Trump says he wouldn't mind that so much ...
                       repeating it multiple times to make sure he really
                       got his point across.


                # ⚓ 404 Media ☛ 404_Media_Is_Partnering_With_Wired⠀⇛


                       Today we are happy to announce WIRED is going to
                       co-publish two of our articles a month on its
                       website. We are really excited to get our stories
                       in front of a wider audience and grow 404 Media. We
                       also hope to occasionally collaborate with our
                       friends and colleagues at WIRED on stories we can
                       do better together.


                # ⚓ Semafor Inc ☛ Open_letter_to_Jeff_Bezos:_To_restore_trust
                  in_news,_we_need_to_look_forward,_not_backward⠀⇛


                       To restore trust in our information sources, we
                       need to look forward, not backward. Most of the
                       news industry is still tinkering with dying 20th
                       century models, importing forms and ideologies from
                       printing presses into digital spaces, moving the
                       deck chairs on the Titanic. Respectfully, your
                       decision to end endorsements falls into this
                       category. As the decades of tech-driven chaos
                       settle, publishers may be overcome with nostalgia —
                       but readers are desperate for new forms of
                       journalism to help them navigate this new world. As
                       leaders of this industry, this is our highest
                       responsibility, especially at this fragile moment
                       when AI will soon further complicate this
                       challenge.


                # ⚓ The Atlantic ☛ Donald_Trump_Hates_Free_Speech⠀⇛


                       In America, a country consecrated to freedom, the
                       dystopian scenes out of China seemed distant.
                       Americans understand on a bone-deep level that, to
                       paraphrase James Madison, absolute sovereignty
                       belongs to the people, not the government.
                       Americans are free to say what we believe, and free
                       to share our ideas with our fellow citizens. We are
                       free to criticize the government, which is
                       accountable to the people, not the other way
                       around. The First Amendment does not grant us these
                       freedoms—they are an inviolable right. The First
                       Amendment does, however, dictate that the
                       government dare not interfere with these freedoms,
                       that officials have no right to cut down the
                       American people’s speech, including the people’s
                       right to free press.


                       To be comfortable in these freedoms, to assume that
                       we would never need to resort to holding up blank
                       sheets of paper to criticize the powerful, is a
                       luxury that Americans cannot presently afford.


          o § Civil Rights/Policing⠀➾


                # ⚓ Jacobin Magazine ☛ ‘Tis_the_Season_to_Organize_Amazon⠀⇛


                       From a labor organizing perspective, this is a
                       terrifying situation. It means that, for most of
                       the year, if you did the hard work of organizing a
                       strike by the thousands of workers at any given
                       Amazon fulfillment center, it would hardly register
                       on Amazon’s radar — not because the company has the
                       resolve not to flinch in a labor dispute, but
                       because they could so efficiently reroute order
                       fulfillment to other facilities that it would
                       likely not slow down their operation in any
                       noticeable way.


                # ⚓ The Register UK ☛ Labor_watchdog_says_Grindr_used_RTO
                  policy_to_hinder_union⠀⇛


                       By demanding folks get back to their office desks,
                       after said workers formed a union, causing scores
                       of them to quit, the software house broke American
                       labor law, it is claimed.


                # ⚓ New York Times ☛ New_York_Times_Tech_Workers_Go_on_Strike⠀⇛


                       Times management said in an email to workers on
                       Sunday that it had offered a 2.5 percent annual
                       wage increase, a minimum 5 percent pay increase for
                       promotions and a $1,000 ratification bonus. It also
                       said that the company would maintain its current
                       in-office work requirements of two days a week
                       through June 2025, while allowing employees to work
                       fully remotely for three weeks per year.


                # ⚓ Smithsonian Magazine ☛ These_Black_Americans_Were_Killed
                  for_Exercising_Their_Political_Right_to_Vote⠀⇛


                       What is known is that Williams’ lifeless, beaten
                       and bruised body was found in the nearby Hatchie
                       River on June 23, 1940, three days after law
                       enforcement officers’ late-night visit. The 31-
                       year-old had been fatally shot. His feet were tied
                       with rope, and his head battered in. It is believed
                       that Williams, who was never seen alive again after
                       being detained by Hunter, was killed because of his
                       voter registration efforts in the majority-Black
                       town of Brownsville.


          o § Internet Policy/Net Neutrality⠀➾


                # ⚓ Techdirt ☛ Telecoms_Bankroll_More_Misleading_Attacks_On
                  Community_Broadband_Networks⠀⇛


                       I’ve written for years about how U.S. broadband is
                       expansive, patchy, and slow thanks to mindless
                       consolidation, regulatory capture, regional
                       monopolization, and limited competition. That’s
                       resulted in a growing number of pissed off towns,
                       cities, cooperatives, and city-owned utilities
                       building their own, locally-owned and operated
                       broadband networks in a bid for better, cheaper,
                       faster broadband.


                       Regional giants like Comcast, Charter, or AT&T
                       could have responded to this organic trend by
                       offering better, cheaper, faster service. But
                       ultimately they found it far cheaper to undermine
                       these efforts via regulatory capture, congressional
                       lobbying, lawsuits, protectionist state laws, and
                       misleading disinformation.


      § Monopolies/Monopsonies⠀➾


          o § Copyrights⠀➾


                # ⚓ Digital Music News ☛ Ed_Sheeran_Beats_‘Thinking_Out_Loud’
                  Copyright_Lawsuit⠀⇛


                       In the three-judge panel’s decision, the Copyright
                       Act of 1909 only protects the musical composition
                       of “Let’s Get It On” as defined by the sheet music
                       filed with the Copyright Office in 1973. Therefore,
                       it does not protect elements present solely in the
                       audio recording of the song. Further, the court
                       rejected SAS’ argument that the combination of a
                       four-chord progression and a syncopated harmonic
                       rhythm in Gaye’s track was sufficiently original to
                       warrant copyright protection. Instead, it found
                       this combination to be too commonplace to protect
                       it without granting it an overly broad monopoly.


                # ⚓ Torrent Freak ☛ Piracy_Shield_Crisis_Erupts_as_AGCOM_Board
                  Member_Slams_Huge_Toll_on_Resources⠀⇛


                       Critics of Italy's Piracy Shield are not difficult
                       to find but, with its powerful and influential
                       proponents rarely far away, getting heard is a
                       considerable challenge. Not to mention getting
                       anything done. After calling for the platform's
                       suspension and meeting resistance in the wake of
                       the recent Google Drive blocking blunder, AGCOM
                       board member Elisa Giomi has gone public with a
                       laundry list of concerns. It pulls zero punches.


                # ⚓ Torrent Freak ☛ Braflix_to_Shut_Down:_Pirate_Site_Throws_in
                  the_Towel_Citing_Legal_Pressure⠀⇛


                       Pirate streaming site Braflix burst onto the scene
                       last year, offering a vast library of movies and TV
                       shows via a user-friendly interface. With millions
                       of monthly visits the site was destined to profit
                       from the demise of several large competitors. The
                       opposite happened. Facing legal pressure, Braflix
                       has decided to throw in the towel instead.





                    ䷩ 𝚕𝚒𝚗𝚎 6988

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Links 05/11/2024: Criminal Referrals
Regarding Patent Trolls and Disinformation About the Election Process
(Already)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Nov 05, 2024,
updated Nov 05, 2024


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Big_White_Roses⦈_


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * Leftovers
          o Science
          o Hardware
          o Health/Nutrition/Agriculture
          o Proprietary/Artificial_Intelligence_(AI)
          o Defence/Aggression
          o Environment
                # Energy/Transportation
                # Overpopulation
          o Finance
          o AstroTurf/Lobbying/Politics
          o Censorship/Free_Speech
          o Freedom_of_Information_/_Freedom_of_the_Press
          o Civil_Rights/Policing
          o Internet_Policy/Net_Neutrality
          o Monopolies/Monopsonies
                # Patents
                # Trademarks
    * § Leftovers⠀➾


          o ⚓ New York Times ☛ Indonesian_Tribe_Adopts_Korean_Hangul_to
            Preserve_Ancient_Cia-Cia_Language⠀⇛


                 The Cia-Cia language has been passed down orally for
                 centuries. Now the tribe’s children are learning to write
                 it in Hangul, the Korean script.


          o ⚓ CS Monitor ☛ Mexico_City_sees_potential_soccer_fields._But_garden
            farmers_fight_to_preserve_a_legacy.⠀⇛


                 Mexico City’s chinampas, artificial islands first built
                 by the Aztecs, are under threat from spreading
                 urbanization. But a small collection of farmers on the
                 islands are banding together to protect ancient farming
                 practices.


          o ⚓ TwinCities Pioneer Press ☛ Stolen_from_Grand_Rapids_museum,
            recovered_pair_of_‘Wizard_of_Oz’_ruby_slippers_are_on_auction
            block⠀⇛


                 The Judy Garland Museum hopes to submit a winning bid,
                 keep iconic movie props in Minnesota


          o ⚓ Ruben Schade ☛ Advertisers_love_absolutes!⠀⇛


                 I watch a lot of YouTube and listen to a lot of podcasts,
                 some of which have embedded ads. Embedded ads are ads
                 that are embedded. Gee, thanks Ruben! These are ads that
                 the presenter delivers, in lieu of injected ads that
                 frankly sound terrifying.


          o § Data⠀➾


                # ⚓ Ravi_Dwivedi:_Asante_Kenya_for_a_Good_Time⠀⇛


                       In September of this year, I visited Kenya to
                       attend the State_of_the_Map_conference. I spent six
                       nights in Nairobi, two nights in Mombasa, and one
                       night on a train. I was very happy with the visa
                       process being smooth_and_quick. Furthermore, I
                       stayed at the Nairobi Transit Hotel with other
                       attendees, with Ibtehal from Bangladesh as my
                       roommate. One of the memorable moments was the time
                       I spent at a local coffee shop nearby. We used to
                       go there at midnight, despite the grating in the
                       shops suggesting such adventures were unsafe.
                       Fortunately, nothing bad happened, and we were
                       rewarded with a fun time with the locals.


                # ⚓ Hackaday ☛ IPod_Clickwheel_Games_Preservation_Project⠀⇛


                       The iPod once reigned supreme in the realm of
                       portable music. Hackers are now working on
                       preserving one of its less lauded functions —
                       gaming. [via Ars Technica]


          o § Science⠀➾


                # ⚓ CS Monitor ☛ Where_playgrounds_benefit_adults,_and_a_bridge
                  between_art_and_science_opens_minds⠀⇛


                       Progress roundup: Galleries marry disciplines to
                       spark creativity, the benefits of greener
                       playgrounds spread to the community, and Oslo,
                       Norway, spreads budget responsibilities.


                # ⚓ Science Alert ☛ Scientists_Reveal_The_First_3D_X-Ray_of_a
                  Skyrmion_Magnetism_Vortex⠀⇛


                       A new foundation for future computers.


                # ⚓ Science Alert ☛ 'Dark_Oxygen'_Discovered_in_The_Ocean,_But
                  What_Does_It_Mean?⠀⇛


                       A mystery bubbling under the surface.


                # ⚓ Science Alert ☛ Scientists_Just_Got_Closer_to_Creating_The
                  Heaviest_Element_Ever⠀⇛


                       Pushing atomic boundaries.


                # ⚓ Science Alert ☛ Scientists_Found_a_'Yellow_Brick_Road'_at
                  The_Bottom_of_The_Pacific_Ocean⠀⇛


                       Where does it lead?


                # ⚓ Latvia ☛ How_to_promote_more_female_involvement_in
                  science?⠀⇛


                       Although many people find the idea of changing
                       careers after the age of 30 unacceptable or risky,
                       it is possible, and it can help fulfill long-
                       cherished dreams. The old saying that it is never
                       too late to learn is more relevant today than ever.
                       And exactly this awareness and the courage to
                       change careers, even in economically active years,
                       can help increase the number of representatives in
                       the exact sciences, including women, notes 'Girls
                       Go CERN' project participant Antra Asare in a piece
                       for Labs of Latvia.


          o § Hardware⠀➾


                # ⚓ Tom's Hardware ☛ Nintendo_Wii_turned_into_a_sleeper_gaming
                  PC,_complete_with_GameCube_ports_—_powered_by_AMD_Ryzen_7
                  7735HS_and_Radeon_680M_graphics⠀⇛


                       YouTuber takes a Nintendo Wii with a broken disc
                       drive and turns it into a sleeper mini PC build.


                # ⚓ CNX Software ☛ Lanner_NCA-1050_–_A_fanless_desktop_network
                  appliance_with_defective_chip_maker_Intel_Amston_Lake_SoC⠀⇛


                       The Lanner NCA-1050 is a fanless desktop network
                       appliance by defective chip maker Intel Atom Amston
                       Lake processors (X7835RE, X7405C, X7203C) for
                       efficient, low-power performance.


                # ⚓ Hackaday ☛ Supercon_2024:_Badge_Add-On_Winners⠀⇛


                       This year we challenged the Hackaday community to
                       develop ShittySimpleSupercon Add-Ons (SAO) that did
                       more than just blink a few LEDs. The SAO standard
                       includes I2C data and a pair of GPIO pins, but
                       historically, they’ve very rarely been used. We
                       knew the talented folks in this community would be
                       able to raise the bar, but as they have a tendency
                       to do, they’ve exceeded all of our expectations.


                # ⚓ Silicon Angle ☛ NXP_tumbles_on_weak_outlook_as_automotive
                  chip_revenues_decline⠀⇛


                       NXP Semiconductors N.V.’s stock was down almost 6%
                       in after-hours trading today after it delivered an
                       outlook that fell some way short of Wall Street’s
                       expectations, due to what it said is “macroeconomic
                       weakness” in Europe and the Americas.


                # ⚓ Hackaday ☛ Humble_Television_Tubes_Make_An_FM_Regenerative
                  Radio⠀⇛


                       The regenerative radio is long-ago superseded in
                       commercial receivers, but it remains a common
                       project for electronics or radio enthusiasts
                       seeking to make a simple receiver. It’s most often
                       seen for AM band receivers or perhaps shortwave ham
                       band ones, but it’s a circuit which also works at
                       much higher frequencies. [Perian Marcel] has done
                       just this, with a regenerative receiver for the FM
                       broadcast band.


                # ⚓ Hackaday ☛ A_Lesson_In_RF_Design_Thanks_To_This_Homebrew
                  LNA⠀⇛


                       If you’re planning on working satellites or doing
                       any sort of RF work where the signal lives down in
                       the dirt, you’re going to need a low-noise
                       amplifier. That’s typically not a problem, as the
                       market is littered with dozens of cheap options
                       that can be delivered in a day or two — you just
                       pay your money and get to work. But is there a case
                       to be made for rolling your own LNA?


                # ⚓ CNX Software ☛ Maximizing_Connectivity_with_LTE-M_in_Asset
                  Trackers⠀⇛


                       CNXSoft: This is a guest post by Dana Cohen,
                       Product Marketing Manager at Sony Semiconductor
                       Israel, discussing LTE-M in asset trackers and
                       comparing it to LTE Cat1.bis, another LPWAN
                       technology. Connectivity has been a game changer in
                       the asset-tracking landscape. Personal devices,
                       pets, vehicles, international packages, or any kind
                       of asset can all easily be tracked through the
                       clown.


          o § Health/Nutrition/Agriculture⠀➾


                # ⚓ New York Times ☛ Behind_the_Election_Anger_May_Be_Something
                  Else:_Lingering_Covid_Grief⠀⇛


                       In the first election after the pandemic, Americans
                       are heading to the polls full of emotions.


                # ⚓ Off Guardian ☛ Does_Everyone_Have_to_Die?⠀⇛


                       I’ve been told several times by people who have
                       acted as human pincushions and are on their eighth
                       Covid shot, “Well, I guess you were wrong!
                       According to you, I should be dead by now!”


                # ⚓ NYPost ☛ It’s_raining_‘forever_chemicals’_in_this_major
                  city_—_and_likely_everywhere_else,_researchers_warn:_‘PFAS
                  are_practically_everywhere’⠀⇛


                       Health experts have only recently begun to explore
                       the harmful — and potentially carcinogenic —
                       properties of PFAS.


                # ⚓ Latvia ☛ Breast_cancer_screening_takes_a_step_forward_in
                  Latvia⠀⇛


                       Breast cancer treatment in Latvia has taken a big
                       step forward, reports Latvian Radio.


                # ⚓ Science Alert ☛ Cancer_Threat_From_Oral_HPV_Is_a_Lifelong
                  Risk,_But_Can_Be_Prevented⠀⇛


                       Another reason to get vaccinated.


                # ⚓ Science Alert ☛ The_Deadliest_Kind_of_Brain_Cancer_May_Have
                  a_Promising_New_Treatment⠀⇛


                       Hope is on the horizon.


                # ⚓ Science Alert ☛ The_State_of_The_Ocean_Is_Intrinsically
                  Linked_to_Human_Health⠀⇛


                       It's all connected.


                # ⚓ JURIST ☛ Texas_governor_orders_public_hospitals_to_report
                  healthcare_costs_of_undocumented_immigrants⠀⇛


                       Texas Governor Greg Abbott’s Executive Order No.
                       GA-46 takes effect on Friday, requiring Texas
                       public hospitals to collect information on and
                       report healthcare costs of undocumented immigrants.


                # ⚓ ACLU ☛ This_Election_Day,_States_Lead_the_Fight_for
                  Reproductive_Freedom⠀⇛


                       Since the fall of Roe, Americans have consistently
                       supported reproductive freedom at the polls.
                       Knowing this, ACLU advocates across the country
                       have worked to ensure the people have a say on
                       reproductive freedom. On Election Day, voters will
                       decide on ten ballot initiatives that will protect
                       and increase abortion access at the state level.


                # ⚓ NYPost ☛ James_Van_Der_Beek’s_wife_shares_heartfelt_message
                  of_support_after_his_colorectal_cancer_diagnosis⠀⇛


                       James Van Der Beek’s wife, Kimberly Van Der Beek,
                       is showing her support after the actor revealed
                       he’s been diagnosed with colorectal cancer and
                       issued a public apology to his loved ones after
                       claiming he was forced to disclose his private
                       health battle..


                # ⚓ The Straits Times ☛ Overweight_Chinese_turn_to_weight-loss
                  camps_to_slim_down⠀⇛


                       Such facilities have popped up across China as it
                       grapples with a growing obesity crisis.


                # ⚓ New Yorker ☛ How_Syria_Became_the_Middle_East’s_Drug
                  Dealer⠀⇛


                       Bashar al-Assad has propped up his regime by
                       exploiting the Middle East’s love of an amphetamine
                       called captagon.


          o § Proprietary/Artificial Intelligence (AI)⠀➾


                # ⚓ New York Times ☛ Meta_Permits_Its_Hey_Hi_(AI)_Models_to_Be
                  Used_for_U.S._Military_Purposes⠀⇛


                       The shift in policy, covering government agencies
                       and contractors working on national security, is
                       intended to promote “responsible and ethical”
                       innovations, the company said.


                # ⚓ Windows Central ☛ Microsoft_wants_you_to_use_Bing_*so_much*
                  that_it_might_give_you_$1,000,000_to_do_so_—_if_you_make_the
                  switch_from_Google⠀⇛


                       Microsoft Rewards asks if you want to win a million
                       dollars for a minimal amount of effort. If so? Look
                       no further. 


                # ⚓ DataCenter Dynamics ☛ Oracle_lays_off_several_hundred_OCI
                  staff_-_report⠀⇛


                       Oracle Corporation reportedly started a round of
                       job cuts this month, with the cloud unit hit
                       particularly hard.


                       According to a report by Channel Futures, several
                       hundred employees within the Oracle Cloud
                       Infrastructure (OCI) unit have been laid off.


          o § Defence/Aggression⠀➾


                # ⚓ The Straits Times ☛ Kim_Jong_Un’s_sister_says_US,_Japan,_S.
                  Korea_drills_justify_N._Korea’s_nuclear_reinforcement⠀⇛


                       North Korea's ICBM launch last week flew higher
                       than any previous North Korean missile.


                # ⚓ The Straits Times ☛ North_Korea_fires_missile,_South_Korea
                  military_says⠀⇛


                       This follows North Korea’s recent test of a huge
                       new solid-fuel intercontinental ballistic missile.


                # ⚓ US_presidential_election_sparks_curiosity_in_North_Korea⠀⇛


                       Many North Koreans aware of US sanctions are
                       watching to see if political change will improve
                       the economy.


                # ⚓ The Straits Times ☛ Malaysian_pop_star_and_5_accomplices
                  charged_in_Thailand_over_drug_possession⠀⇛


                       Police arrested the six suspects at their hotel
                       rooms and found 6,060 methamphetamine pills.


                # ⚓ Awaiting_refugee_status,_Myanmar_nationals_in_Malaysia
                  struggle,_risk_deportation⠀⇛


                       Some applicants can wait up to a decade to become
                       refugees, aid groups said.


                # ⚓ The Straits Times ☛ Myanmar_junta_chief_to_make_first_China
                  visit_since_seizing_power⠀⇛


                       Since the coup, Myanmar has been in chaos,
                       including areas along its border with China.


                # ⚓ Vietnamese_fishermen_in_China’s_detention_for_six_months:
                  think_tank⠀⇛


                       The Beijing-approved group said some Vietnamese
                       fishermen have been detained in the Paracels for
                       'illegal fishing.'


                # ⚓ The Straits Times ☛ Malaysia_complains_to_Vietnam_over
                  South_China_Sea_reef_expansion,_sources_say⠀⇛


                       Malaysia has sent a complaint letter to Vietnam in
                       early October, but has so far received no reply.


                # ⚓ The Straits Times ☛ As_Brics_expands,_China-India_rivalry
                  could_shape_its_future_trajectory⠀⇛


                       This rivalry could undermine an expanded Brics'
                       cohesiveness and complicate consensus-building.


                # ⚓ RFERL ☛ Kazakhstan,_China_Strengthen_Economic_Ties_With
                  $2.5_Billion_In_New_Investments⠀⇛


                       Kazakhstan has signed eight commercial agreements
                       worth $2.5 billion with Chinese companies,
                       significantly enhancing bilateral economic
                       relations between the two countries.


                # ⚓ Hong Kong Free Press ☛ Chinese_lawmakers_meet_to_hash_out
                  long-awaited_stimulus_plan_against_backdrop_of_US_election⠀⇛


                       China’s top lawmakers gathered Monday to hash out a
                       major stimulus package that analysts say could grow
                       even bigger if former US president Donald Trump
                       wins the White House this week.


                # ⚓ Hong Kong Free Press ☛ Head_of_Myanmar_junta_to_visit_China
                  for_first_time_since_seizing_power_in_2021_coup⠀⇛


                       Myanmar junta chief Min Aung Hlaing will travel to
                       key ally China this week, both countries said
                       Monday, in his first known trip there since seizing
                       power in a 2021 coup.


                # ⚓ Atlantic Council ☛ How data control is driving_a new_US-
                  China economic divide⠀⇛


                       China’s increased restrictions on corporate and
                       financial data make it difficult for the United
                       States and allies to enforce economic statecraft
                       tools like sanctions and supply chain safeguards.


                # ⚓ Nearly_200_schools_in_Myanmar_hit_by_junta_air_strikes
                  since_military_coup⠀⇛


                       The regime often claims that the buildings house
                       resistance fighters.


                # ⚓ New York Times ☛ Israeli_Strikes_Damage_a_Major_Hospital_in
                  Northern_Gaza,_Officials_Say⠀⇛


                       Patients and medical staff were wounded at Kamal
                       Adwan Hospital, one of the few in northern Gaza
                       still providing limited medical care, the health
                       ministry and the hospital’s chief said.


                # ⚓ Off Guardian ☛ The_Politics_of_Fear:_Laying_the_Groundwork
                  for_Fascism,_American-Style⠀⇛


                       The contagion being spread like wildfire is turning
                       communities into battlegrounds and setting
                       Americans one against the other.


                # ⚓ France24 ☛ America_has_inched_closer_than_ever_to
                  authoritarianism,_historian_says⠀⇛


                       FRANCE 24's Mark Owen speaks to Rick Perlstein,
                       historian and author of the book "Reaganland:
                       America's Right Turn". He says that America has
                       inched closer to authoritarian governance than it
                       has at any time in its history, except for the
                       states in the South during the era of slavery and
                       segregation.


                # ⚓ New Yorker ☛ What_Is_Cornel_West_Thinking?⠀⇛


                       The public intellectual’s Presidential campaign
                       could ease Donald Trump’s path to the White House.
                       Why won’t he drop out?


                # ⚓ Defence Web ☛ Successful_Op_Vala_Umgodi_deployment_ends_in
                  North_West_province_after_hundreds_apprehended⠀⇛


                       South Africa’s North West was the proverbial “happy
                       hunting ground” for soldiers deployed as part of
                       the SA Army Light Modern Brigade (LMB) supporting
                       police as part of ongoing efforts to curb illegal
                       mining as per the Operation Vala Umgodi tasking.


                # ⚓ Defence Web ☛ UN_peacekeeping_marks_its_silver
                  anniversary⠀⇛


                       Twenty-five years ago, the United Nations Security
                       Council (UNSC) decided protection of civilians
                       (POC) in armed conflict was an issue of
                       international peace and security, and it tasked the
                       UN Mission in Sierra Leone (UNAMSIL) with the first
                       explicit mandate to protect civilians from threats
                       of physical violence.


                # ⚓ The Strategist ☛ Celebrating_10_years_of_ASPI’s_Women_in
                  Defence_and_Security_Network⠀⇛


                       When Hayley Channer and Nicole Seils attended a
                       defence-related event in Canberra in 2014, they
                       realised they were two of only a handful of women
                       in the room.


                # ⚓ Scoop News Group ☛ The_post-election_threats_you_need_to
                  prepare_for,_according_to_experts⠀⇛


                       The pre-election period was busy for foreign and
                       domestic actors looking to undermine confidence in
                       U.S. elections. Election observers are expecting an
                       even bumpier ride between election day and
                       inauguration. 


                # ⚓ New York Times ☛ Trial_Over_Killing_of_Teacher_Samuel_Paty
                  Begins_in_France⠀⇛


                       Eight more people are facing charges over the 2020
                       murder of the teacher, Samuel Paty, who had
                       displayed caricatures of the Prophet Muhammad as an
                       illustration of free speech.


                # ⚓ Defence Web ☛ SANDF_soldiers_recover_millions_of_Rands
                  worth_of_stolen_vehicles,_drugs_in_latest_border_ops⠀⇛


                       South African National Defence Force (SANDF)
                       soldiers in Mpumalanga had a busy October doing
                       border protection duty, recovering R3 million worth
                       of stolen vehicles and R6 million worth of dagga. 5
                       South African Infantry (SAI) Battalion is currently
                       deployed along the borders of South Africa,
                       Mozambique, and Eswatini under Operation Corona.


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


                      # ⚓ Meduza ☛ Maia_Sandu_wins_reelection_in_Moldova’s
                        runoff,_carried_by_diaspora_and_Chișinău_voters_—
                        Meduza⠀⇛


                      # ⚓ Meduza ☛ Police_outside_Chelyabinsk_launch_series_of
                        sweeps_and_raids_against_local_Roma_community_after
                        late_October_riot_—_Meduza⠀⇛


                      # ⚓ The Strategist ☛ From_the_bookshelf:_‘Engaging_North
                        Korea’⠀⇛


                             North Korea is again in the global spotlight.


                      # ⚓ LRT ☛ Lithuanian_parliament_to_have_permanent_reps_in
                        Kyiv,_Berlin⠀⇛


                             The Lithuanian parliament, Seimas, plans to
                             have permanent representatives in Ukraine and
                             Germany.


                      # ⚓ LRT ☛ Is_Ukraine’s_frontline_collapsing?⠀⇛


                             Donbas is heaving with death.


                      # ⚓ RFERL ☛ Number_Of_North_Korean_Troops_In_Kursk_Grows
                        To_11,000,_Zelenskiy_Says⠀⇛


                             Ukrainian President Volodymyr Zelenskiy said
                             on November 4 that 11,000 North Korean troops
                             had reached Russia's Kursk region, according
                             to Kyiv's intelligence agencies.


                      # ⚓ RFERL ☛ EU,_Seoul_Condemn_North_Korean_Involvement_In
                        Russia's_War_In_Ukraine⠀⇛


                             The European Union and South Korea condemned
                             "in the strongest possible terms" North
                             Korea's transfer of weapons to Russia and the
                             deployment of special forces to help the
                             Kremlin with its "unlawful war of aggression"
                             against Ukraine.


                      # ⚓ RFERL ☛ Germany's_Baerbock_In_Kyiv_As_Russia_Pounds
                        Ukraine's_Infrastructure⠀⇛


                             German Foreign Minister Annalena Baerbock met
                             with Ukrainian officials on November 4 in
                             Kyiv where she arrived in a show of support
                             for Ukraine as Russia's unprovoked invasion
                             of Ukraine nears the 1,000-day mark.


                      # ⚓ The Straits Times ☛ EU_and_S.Korea_urge_withdrawal_of
                        N.Korean_troops_from_Russia's_war_with_Ukraine⠀⇛


                             South Korea and the European Union on Monday
                             jointly condemned North Korea's supply of
                             weaponry to Moscow and demanded that it
                             withdraw troops it has sent as Russia wages
                             war against Ukraine.


                      # ⚓ The Straits Times ☛ $263m_a_year,_700,000_tonnes_of
                        rice,_space_tech:_The_deal_for_North_Korea_joining
                        Russia’s_war⠀⇛


                             South Korea said the North expects that a
                             Trump victory would lead to an early end to
                             the Ukraine war.


                      # ⚓ Meduza ☛ Google_Maps_updates_satellite_images_of
                        Ukraine_and_accidentally_reveals_military_sites_—
                        Meduza⠀⇛


                      # ⚓ Meduza ☛ Ahead_of_Moldova’s_presidential_run-off,
                        pro-Kremlin_bots_threatened_‘Ukraine_2.0’_and_urged
                        voters_to_‘follow_Georgia’_—_Meduza⠀⇛


                      # ⚓ Meduza ☛ Russia_reportedly_to_pay_North_Korean
                        soldiers_$2,000_per_month_to_fight_against_Ukraine_—
                        Meduza⠀⇛


                      # ⚓ Meduza ☛ Antiwar_activists_in_Russia_spread_fake
                        military_recruitment_flyers_directing_readers_to_lists
                        of_soldiers_killed_in_Ukraine_—_Meduza⠀⇛


                      # ⚓ LRT ☛ Lithuania_wants_to_ban_dual_Russian,_Belarusian
                        citizens_from_serving_in_military⠀⇛


                             The defence minister and the chairman of the
                             parliamentary Committee on National Security
                             and Defence have registered a bill that would
                             exclude people with Russian and Belarusian
                             citizenship from serving in the Lithuanian
                             Armed Forces.


                      # ⚓ RFERL ☛ German_Prosecutors_Drop_Probe_Against
                        Russian-Uzbek_Billionaire_Usmanov⠀⇛


                             German prosecutors have dropped a money-
                             laundering investigation into Uzbek-born
                             Russian tycoon Alisher Usmanov, but he will
                             be required to pay a fine of 4 million euros
                             ($4.36 million), the prosecutor’s office said
                             on November 4.


                      # ⚓ RFERL ☛ Russian_Crackdown_On_Military_Corruption
                        Continues_With_New_Arrest⠀⇛


                             A top official from Russia's National Guard
                             was sent to pretrial detention on November 4
                             for at least two months on corruption charges
                             amid a crackdown on military graft.


                      # ⚓ RFERL ☛ Pro-EU_Sandu's_Reelection_Proof_Of_Russia's
                        'Failure,'_Biden_Says⠀⇛


                             Final preliminary results show Moldova's pro-
                             Western president, Maia Sandu, has won a
                             second term, a critical milestone for the
                             integration of one of Europe's poorest
                             countries into the European Union that U.S.
                             President Joe Biden said was proof that
                             Russian interference "failed."


                      # ⚓ The Straits Times ☛ Indonesia,_Russia_navies_hold
                        first_joint_drills_in_Java_Sea⠀⇛


                             Analysts say this shows the South-east Asian
                             nation’s willingness to befriend any country.


                      # ⚓ New York Times ☛ Russian_and_Other_Groups_May_Try_to
                        Undermine_U.S._Elections_After_Vote⠀⇛


                             Russian and other groups have unleashed a
                             torrent of disinformation. Cybersecurity
                             officials plan to issue updates on threats
                             throughout Election Day.


                      # ⚓ Meduza ☛ Russian_federal_agents_raided_governor’s
                        offices_two_days_before_his_resignation_—_Meduza⠀⇛


                      # ⚓ Meduza ☛ Russian_Defense_Ministry_releases_Unity_Day
                        propaganda_highlighting_army’s_multiethnic_composition
                        —_Meduza⠀⇛


                      # ⚓ Meduza ☛ Russian_National_Guard_major_general_jailed
                        on_bribery_charges_—_Meduza⠀⇛


                      # ⚓ Meduza ☛ Russian_Orthodox_Church_head_says_death
                        penalty_is_okay_by_Jesus_—_Meduza⠀⇛


                      # ⚓ Meduza ☛ Putin_taps_former_Krasnodar_mayor_for_Tambov
                        governor’s_seat_after_volunteer_military_service_in
                        Ukraine_—_Meduza⠀⇛


                      # ⚓ Meduza ☛ Newly_published_documents_from_invasion’s
                        first_weeks_reveal_Putin’s_plans_to_render_post-war
                        Ukraine_powerless_—_Meduza⠀⇛


                      # ⚓ Meduza ☛ Putin_joins_unscheduled_meeting_at_Kremlin
                        with_North_Korea’s_foreign_affairs_minister_—_Meduza⠀⇛


                      # ⚓ Meduza ☛ With_cameras_rolling,_Putin_shares_tender
                        moment_with_daughter_of_helicopter_pilot_killed_in
                        Kharkiv_—_Meduza⠀⇛


                      # ⚓ RFERL ☛ Russia_Grants_Citizenship_To_3,344_Foreigners
                        Under_Ukraine_Service_Decree⠀⇛


                             Russia has granted citizenship to 3,344
                             foreigners since the start of the year under
                             a decree by President Vladimir Putin that
                             allows passports to be issued to participants
                             in the invasion of Ukraine and their family
                             members.


                      # ⚓ Meduza ☛ CEO_of_Russia’s_Channel_One_state_news
                        network_compares_Steve_Jobs_to_Hitler_—_Meduza⠀⇛


                      # ⚓ Meduza ☛ Intelligence_sources_tell_WSJ_that_Russia
                        plotted_to_put_incendiary_devices_aboard_planes_bound
                        for_U.S._and_Canada_—_Meduza⠀⇛


                      # ⚓ Meduza ☛ Sanctioned_Russian_oligarch_Alisher_Usmanov
                        settles_German_criminal_probe_out_of_court_—_Meduza⠀⇛


                      # ⚓ Meduza ☛ Elite_Russian_private_schools_are_trying_to
                        shield_children_from_the_war._But_even_the_youngest
                        students_are_starting_to_talk_about_it._—_Meduza⠀⇛


                      # ⚓ JURIST ☛ Belarus_rights_group_reports_death_of
                        political_prisoner_Dmitriy_Schlethauer⠀⇛


                             The Viasna Human Rights Centre, one of the
                             oldest human rights groups in Belarus,
                             reported on Friday that political prisoner
                             Dmitriy Schlethauer died on October 11, less
                             than one month after being transferred to the
                             penal colony at Mogilev in the east of the
                             country. The cause of death is unknown.


          o § Environment⠀➾


                # § Energy/Transportation⠀➾


                      # ⚓ Hackaday ☛ Power-Over-Skin_Makes_Powering_Wearables
                        Easier⠀⇛


                             The ever-shrinking size of electronics and
                             sensors has allowed wearables to help us
                             quantify more and more about ourselves in
                             smaller and smaller packages, but one major
                             constraint is the size of the battery you can
                             fit inside. What if you could remotely power
                             a wearable device instead?


                      # ⚓ The Straits Times ☛ Indonesia_conducting_‘thorough
                        exercise’_to_reform_fuel_subsidy_scheme,_minister
                        says⠀⇛


                             Its policy has kept inflation low but has
                             exposed state coffers to swings in global oil
                             prices.


                # § Overpopulation⠀➾


                      # ⚓ Hong Kong Free Press ☛ Hong_Kong_gov’t_should_display
                        baby_photos_in_offices_to_encourage_civil_servants_to
                        have_children,_lawmaker_says⠀⇛


                             The Hong Kong government should display baby
                             photos in its offices to create an
                             “atmosphere” that would encourage civil
                             servants to have children, a lawmaker has
                             suggested.


          o § Finance⠀➾


                # ⚓ China_sees_sharp_drop_in_marriages_amid_economic_downturn⠀⇛


                       China has seen a sharp drop in marriages so far
                       this year amid an economic slump and changing
                       priorities.


                # ⚓ The Straits Times ☛ South_Korea_man_hides_father’s_body_in
                  freezer_for_a_year_over_‘inheritance_issues’⠀⇛


                       Investigators did not find any evidence that the
                       suspect had killed his father.


                # ⚓ The Straits Times ☛ South_Korean_opposition_leader_agrees
                  to_scrap_financial_investment_tax⠀⇛


                       South Korea's main opposition Democratic Party
                       leader Lee Jae-myung on Monday agreed to back
                       government plans to scrap a scheme to tax profits
                       on financial investments, citing the need to boost
                       the country's undervalued stock market.


                # ⚓ The Straits Times ☛ 270_busted_in_South_Korean_medical
                  insurance_fraud⠀⇛


                       Busan Nambu Police Station apprehended the scammers
                       in October.


          o § AstroTurf/Lobbying/Politics⠀➾


                # ⚓ Dispatches_from_Europe_#5:_October_30,_2024_–_Ia_Eradze_on
                  Resisting_Authoritarianism_and_Foreign_Domination_in
                  Georgia⠀⇛


                       I interviewed Ia Eradze, a leftwing political
                       economist in Georgia, on October 28, two days after
                       the controversial Georgia parliamentary election.
                       We talked in the afternoon before a protest
                       demonstration against election rigging by the
                       democratic opposition would be held that night.


                # ⚓ France24 ☛ US_housing_crisis_in_focus_as_voters_prepare_to
                  choose_next_president⠀⇛


                       The US economy is humming with GDP expected to grow
                       at a healthy clip, unemployment low and inflation
                       coming down closer to the Federal Reserve's 2%
                       target. But polls have shown American voters are
                       worried about the state of the economy. Home prices
                       have gone through the roof.  Both Kamala Harris and
                       Donald Trump have promised to bring them
                       down. Plus, Boeing workers are voting on a new wage
                       offer, which could end their seven-week strike.


                # ⚓ New York Times ☛ Supreme_Court_to_Hear_Louisiana
                  Congressional_Map_Dispute⠀⇛


                       The case, which will not affect this election
                       cycle, involves a legal fight over how the state
                       draws its voting maps and could determine the
                       political power of Black voters there.


                # ⚓ CS Monitor ☛ What_happens_if_Trump_tries_to_overturn
                  another_election_loss?⠀⇛


                       Since the chaotic 2020 election, the system has
                       been strengthened. But a narrow victory by Kamala
                       Harris could still lead to a drawn-out battle.


                # ⚓ Atlantic Council ☛ This_should_be_atop_the_next_US
                  president’s_reading_list⠀⇛


                       A new essay by former National Security Advisor
                       Stephen Hadley provides an important contribution
                       at the early stages of a new geopolitical era.


                # ⚓ Dick_Van_Dyke,_98,_makes_rare_appearance_on_social_control
                  media_to_endorse_Kamala_Harris_for_president⠀⇛


                       The "Mary Poppins" star, 98, recited an old speech
                       from Rod Serling — first read in 1964 — while
                       endorsing Harris on Instagram Monday night.


                # ⚓ Everything_Zen⠀⇛


                       You’re getting hit by pre-election chaos on every
                       other part of the internet. Let’s take a step back
                       and get a bit of a palate cleanser. Personally, I
                       find a little Tedium goes a long way.


                       The odds are that, based on my recent schedule,
                       this will be the last issue of Tedium before the
                       2024 presidential election. I’m not really
                       expecting a lot of breaking news in the market for
                       tedium. (As our about page states, tedium is noted
                       for its pattern of stillness, which one cannot say
                       about an election.) But I do think there is
                       something to be said about a moment of zen amid
                       chaos. I am not perfect at this. Some people
                       meditate or spend entire weekends in the woods. I,
                       instead, like digging into Tedium. And with that in
                       mind, tonight’s pre-election Tedium attempts to
                       make the case for Tedium as a palate cleanser.
                       Because, let’s be honest, we need it right now. —
                       Ernie @ Tedium


                # ⚓ Pro Publica ☛ As_Denver_Aids_Arriving_Migrants,_Its
                  Homeless_Residents_Feel_Left_Behind⠀⇛


                # ⚓ Pro Publica ☛ RNC_Video_Contradicts_Trump’s_“Illegal
                  Aliens”_Voting_Claims⠀⇛


                       In public remarks, former President Donald Trump
                       has repeatedly made unfounded claims about the
                       threat of widespread voting by “illegal aliens” and
                       noncitizens in the 2024 election.


                       Away from the spotlight, though, at least one
                       Republican National Committee official is telling
                       volunteer poll watchers a completely different
                       story: that such voting is close to impossible.


                # § Misinformation/Disinformation/Propaganda⠀➾


                      # ⚓ Federal News Network ☛ Malign_interference_and
                        cryptocurrency:_A_new_frontier_in_disinformation_and
                        national_security⠀⇛


                             Leaders at Chainalysis shed light on the
                             pivotal role of crypto tracing in identifying
                             and countering political threats.


          o § Censorship/Free Speech⠀➾


                # ⚓ University of Michigan ☛ Academic_freedom_lecture_to
                  address_extramural_speech⠀⇛


                       Judith Butler, a philosopher and gender studies
                       scholar, will deliver the Faculty Senate's 34th
                       annual Davis, Markert, Nickerson Lecture on
                       Academic and Intellectual Freedom.


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


                # ⚓ Press Gazette ☛ New_York_Times-owned_The_Athletic_reports
                  quarterly_profit_for_first_time⠀⇛


                       And The New York Times Company surpassed 11 million
                       total subscribers in Q3.


          o § Civil Rights/Policing⠀➾


                # ⚓ Chinese_rights_lawyer_Wang_Yu_hospitalized_after_hunger
                  strike⠀⇛


                       Chinese rights lawyer Wang Yu was hospitalized
                       after a 9-day hunger strike.


                # ⚓ New York Times ☛ New_York_Times_Tech_Workers_Go_on_Strike⠀⇛


                       The Times Tech Guild represents more than 600
                       software developers and others who run the back-end
                       systems behind The Times’s digital operation.


                # ⚓ The Straits Times ☛ Calls_seeking_counselling_on_domestic,
                  sexual_abuse_hit_all-time_high_in_South_Korea⠀⇛


                       337,171 calls were made in 2023 to national
                       counselling centres, up 15.1 per cent from the
                       previous year.


                # ⚓ JURIST ☛ Civil_group_calls_for_accountability_from_China
                  over_human_rights_violations_in_Xinjiang⠀⇛


                       The International Service for Human Rights (ISHR),
                       an NGO promoting the protection of human rights,
                       recalled on Monday the need for further action to
                       hold China accountable for grave human rights
                       violations in Xinjiang.


                # ⚓ AccessNow ☛ Saudi_authorities_must_end_misuse_of
                  administrative_and_judicial_measures_against_released_human
                  rights_defenders_including_Loujain_al-Hathloul⠀⇛


                       We call on the Saudi authorities to immediately
                       cease misusing administrative and judicial measures
                       against human rights defenders released from
                       prison.


                # ⚓ France24 ☛ Woman_strips_off_clothes_at_Iran_university_in
                  apparent_protest⠀⇛


                       A young woman stripped to her underwear at an
                       Iranian university on Saturday in an apparent
                       protest against the country's strict Islamic dress
                       code, according to online videos and media reports.
                       A video posted on social control media showed
                       security guards at a branch of the Islamic Azad
                       University detaining the unidentified woman.


                # § Licensing / Legal⠀➾


                      # ⚓ US News And World Report ☛ Influential_Attorneys_Send
                        a_Message_to_Their_Peers:_No_More_Frivolous_Election
                        Lawsuits⠀⇛


                             The letter, organized by the American Bar
                             Association’s Task Force for American
                             Democracy, has 125 signatories as of
                             publication, including former presidents of
                             the national association. The current and
                             former leaders hail from across the country,
                             including swing states such as Georgia,
                             Michigan and Pennsylvania, where some
                             lawsuits have been filed.


          o § Internet Policy/Net Neutrality⠀➾


                # ⚓ Michael Geist ☛ The_Law_Bytes_Podcast,_Episode_218:_Emily
                  Laidlaw_and_Taylor_Owen_on_Saving_the_Online_Harms_Act⠀⇛


                       Online Harms Act or Bill C-63 was introduced last
                       February after years of false starts, public
                       consultations, and debates. Months later, the bill
                       appears to be stalled in the House of Commons and
                       has yet to make it to committee for further study.
                       Some view that as a win, given their criticism of
                       the bill, though others who have waited years for
                       action against online harms are beginning to fear
                       that the Parliamentary clock is working against
                       them.


      § Monopolies/Monopsonies⠀➾


          o ⚓ New York Times ☛ KAWS,_the_Collector,_Says,_‘I_Don’t_Feel_Like
            Anything_Is_Mine.’⠀⇛


                 Some collectors treat artworks like poker chips and flip
                 work by young artists. That’s not Brian Donnelly. Now his
                 finds star in a show.


          o § Patents⠀➾


                # ⚓ Dennis Crouch/Patently-O ☛ Supreme_Court_Asked_to_Address
                  Constitutionality_of_[patent_maximalist]_Judge_Newman
                  Removal⠀⇛


                       Miller Mendel, Inc. has petitioned the Supreme
                       Court to review a Federal Circuit decision
                       invalidating its background check software patent
                       monopoly in a case that raises questions about both
                       judicial independence and patent monopoly
                       eligibility standards. The petition comes after
                       both the district court and Federal Circuit found
                       Miller Mendel's US Patent No. 10,043,188 ineligible
                       under § 101 as directed to an abstract idea.


                # ⚓ JUVE ☛ Ones_to_Watch_Germany_2024:_Lisa_Rieth [Ed:
                  Marketing spam disguised as honest endorsement of some
                  kind]⠀⇛


                       Every year, JUVE Patent carries out extensive
                       research in the German patent monopoly market,
                       culminating in the publication of the German patent
                       monopoly rankings.


                # ⚓ EFF ☛ Judge’s_Investigation_Into_Patent_Troll_Results_In
                  Criminal_Referrals⠀⇛


                       These companies–named Mellaconic IP, Backertop
                       Licensing, and Nimitz Technologies–seemed to be
                       typical examples of “patent trolls,” companies
                       whose primary business is suing others over patents
                       or demanding licensing fees rather than providing
                       actual products or services. 


                       However, the cases soon took an unusual turn. The
                       Delaware federal judge overseeing the cases, U.S.
                       District Judge Colm Connolly, sought more
                       information about the patents and their ownership.
                       One of the alleged owners was a food-truck operator
                       who had been promised “passive income,” but was
                       entitled to only a small portion of any revenue
                       generated from the lawsuits. Another owner was the
                       spouse of an attorney at IP Edge, the patent-
                       assertion company linked to all three LLCs. 


                       Following an extensive investigation, the judge
                       determined that attorneys associated with these
                       shell companies had violated legal ethics rules. He
                       pointed out that the attorneys may have misled Han
                       Bui, the food-truck owner, about his potential
                       liability in the case. Judge Connolly wrote: 


          o § Trademarks⠀➾


                # ⚓ TTAB Blog ☛ Recommended_Reading:_The_Trademark_Reporter,
                  September-October_2024_Issue⠀⇛


                       The September-October 2024 (Vol. 114 No. 5) issue
                       of the Trademark Reporter has arrived. [pdf here].
                       Willard Knox, Editor-in-Chief, summarizes the
                       contents as follows (and below): "This issue offers
                       readers an article on how practitioners can use
                       survey evidence to prevail on behalf of brand
                       owners contesting failure-to-function refusals to
                       register their trademarks as well as a book review
                       of a practical handbook on design law."


                # ⚓ Dennis Crouch/Patently-O ☛ A_Tale_of_Two_Dewberries:
                  Corporate_Structure_vs._Trademark_Remedies⠀⇛


                       The Supreme Court is set to hear arguments in
                       Dewberry Group v. Dewberry Engineers (No. 23-900)
                       in December 2024, addressing the trademark-specific
                       question of whether courts can disgorge profits
                       earned not by the defendant itself, but also by
                       legally separate non-party corporate affiliates. 
                       In many ways, I see this case largely as a
                       corporate "structure of the firm" case.  Does
                       trademark law permit business owners to formally
                       structure their set of closely related businesses
                       to avoid spillover liability?  Most notably,
                       corporate attorneys are regularly looking at ways
                       to divide companies to limit spillover liability.
                       The golden target is to create low-profit (or non-
                       profit) entities that hold all the potential
                       liability; and then shift profits to other
                       corporate affiliates that do not have any
                       liability. 




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