𝕿𝖊𝖈𝖍𝖗𝖎𝖌𝖍𝖙𝖘 Bulletin for Friday, June 28, 2024
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Generated Sat 29 Jun 02:49:23 BST 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/2024/06/28/


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

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


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

⦿ Techrights  -  ChromeOS Reaches Highest Share in Years at the World's Most Populous Nation, Windows Now at All-Time Low of 13%

⦿ Techrights  -  GNU/Linux Consolidates in North America

⦿ Techrights  -  IBM: So Long, Suckers. Your Free OS is Now Proprietary. Pay IBM or Else.

⦿ Techrights  -  IBM Was Never the "Good Guy", Just a Self-Serving and Opportunistic Money- and Power-Hungry Monopolist, Living Off of Taxpayers' Money (Government Contracts)

⦿ Techrights  -  "I Hated Working at IBM. They Were the Most Unfriendly People."

⦿ Techrights  -  IRC Proceedings: Thursday, June 27, 2024

⦿ Techrights  -  [Meme] In 50 Years...

⦿ Techrights  -  [Meme] More Monopolies Granted While Patent Examiners Die (Overworking for Less Compensation)

⦿ Techrights  -  Nearly a Month Has Passed and Nobody at the Debian Project Even Attempted to Explain What Seems Like Back-dooring of Debian (and Hundreds of Distros That Are Debian-Derived)

⦿ Techrights  -  Never Assume That Because the Law Exists the Powerful Will Follow the Law

⦿ Techrights  -  Only About 1 in 8 Russian Windows Users is Using Vista 11

⦿ Techrights  -  Over at Tux Machines...

⦿ Techrights  -  RIP Daniel Bristot de Oliveira, Red Hat death

⦿ Techrights  -  Staff Union of the EPO (SUEPO) is Taking the New Pension Scheme (NPS) to an International Tribunal (ILOAT)

⦿ Techrights  -  State of the News (and Depletion of Journalism Online, Not Just Offline)

⦿ Techrights  -  Stella Assange and the Legal Team Speak to the Media a Day After WikiLeaks Founder Julian Assange Arrives in Australia

⦿ Techrights  -  [Video] "It Is Incredible That Julian Assange Survives"

⦿ Techrights  -  [Video] Julian Assange Explains Wikileaks' Logistics

⦿ Techrights  -  Vista 11 is Doomed and Despite Lack of Adoption Microsoft Already Speaks of Vapourware ("12")

 ䷼ Bulletin articles (as HTML) to comment on (requires login):
https://techrights.org/n/2024/06/28/ChromeOS_Reaches_Highest_Share_in_Years_at_the_World_s_Most_Pop.shtml
https://techrights.org/n/2024/06/28/GNU_Linux_Consolidates_in_North_America.shtml
https://techrights.org/n/2024/06/28/IBM_So_Long_Suckers_Your_Free_OS_is_Now_Proprietary_Pay_IBM_or_.shtml
https://techrights.org/n/2024/06/28/IBM_Was_Never_the_Good_Guy_Just_a_Self_Serving_and_Opportunisti.shtml
https://techrights.org/n/2024/06/28/I_Hated_Working_at_IBM_They_Were_the_Most_Unfriendly_People.shtml
https://techrights.org/n/2024/06/28/IRC_Proceedings_Thursday_June_27_2024.shtml
https://techrights.org/n/2024/06/28/Meme_In_50_Years.shtml
https://techrights.org/n/2024/06/28/Meme_More_Monopolies_Granted_While_Patent_Examiners_Die_Overwor.shtml
https://techrights.org/n/2024/06/28/Nearly_a_Month_Has_Passed_and_Nobody_at_the_Debian_Project_Even.shtml
https://techrights.org/n/2024/06/28/Never_Assume_That_Because_the_Law_Exists_the_Powerful_Will_Foll.shtml
https://techrights.org/n/2024/06/28/Only_About_1_in_8_Russian_Windows_Users_is_Using_Vista_11.shtml
https://techrights.org/n/2024/06/28/Over_at_Tux_Machines.shtml
https://techrights.org/n/2024/06/28/RIP_Daniel_Bristot_de_Oliveira_Red_Hat_death.shtml
https://techrights.org/n/2024/06/28/Staff_Union_of_the_EPO_SUEPO_is_Taking_the_New_Pension_Scheme_N.shtml
https://techrights.org/n/2024/06/28/State_of_the_News_and_Depletion_of_Journalism_Online_Not_Just_O.shtml
https://techrights.org/n/2024/06/28/Stella_Assange_and_the_Legal_Team_Speak_to_the_Media_a_Day_Afte.shtml
https://techrights.org/n/2024/06/28/Video_It_Is_Incredible_That_Julian_Assange_Survives.shtml
https://techrights.org/n/2024/06/28/Video_Julian_Assange_Explains_Wikileaks_Logistics.shtml
https://techrights.org/n/2024/06/28/Vista_11_is_Doomed_and_Despite_Lack_of_Adoption_Microsoft_Alrea.shtml

 ䷞ Followed by Daily Links (assorted news picks curated and categorised):
https://techrights.org/n/2024/06/28/Gemini_Links_28_06_2024_Christmas_Prematurely_Self_hosting.shtml
https://techrights.org/n/2024/06/28/Links_28_06_2024_Kangaroo_Courts_and_Patents_Spam_EFF_Still_Fig.shtml
https://techrights.org/n/2024/06/28/Links_28_06_2024_More_Attacks_on_the_Press_More_Censorship_in_R.shtml
https://techrights.org/n/2024/06/28/Links_28_06_2024_Overton_window_and_Polarization.shtml

                    ䷩ 𝚕𝚒𝚗𝚎 104

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/06/28/ChromeOS_Reaches_Highest_Share_in_Years_at_the_World_s_Most_Pop.shtml
    Gemini version at https://techrights.org/n/2024/06/28/ChromeOS_Reaches_Highest_Share_in_Years_at_the_World_s_Most_Pop.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ ChromeOS Reaches Highest Share in Years at
the World's Most Populous Nation, Windows Now at All-Time Low of
13%⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jun 28, 2024


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇India_Travel_Poster⦈_ We're talking about India today.


New record? Almost.


  🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNU/Linux Desktop Operating System Market Share India⦈


GNU/Linux is also back above 15%. See the_underlying_data (ODF).


Add Android to the mix and Windows_has_fallen_to_all-time_lows.


Also new: Microsoft_Must_be_Nervous_About_the_United_States_This_Year




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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⠋⠉⠉⠉⠉⠉⠉⠁⠀⠈⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⠋⠉⠉⠉⠙⠛⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⢀⣀⡀⠀⠀⠀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣷⣄⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⢀⣠⣴⠾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⣀⣤⣶⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣶⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⠏⠀⠀⢀⣤⣶⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡟⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢀⡀⠀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⢻⣿⣿⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⠇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣆⠀⠀⠀⠀⠀⠀⠙⢿⣿⠿⠟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣻⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣧⣴⡿⠟⠛⠛⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠂⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠙⢻⣿⣿
⣿⣿⣿⣿⣷⣶⣶⣶⡶⠖⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣐⣒⣾⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠒⠒⠒⠛⠛⢛⣛⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⢹⠉⠉⢻⣿⠉⠉⡏⠉⠉⠉⠙⠻⡏⠉⢹⣿⡟⠉⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⠀⠀⠀⠙⠀⠀⡇⠀⢸⣷⠀⠀⡇⠀⢸⡿⠁⢀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⠀⠀⣧⡀⠀⠀⡇⠀⠘⠛⠀⢀⡇⠀⢸⠃⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣶⣶⣿⣿⣶⣶⣷⣶⣶⣶⣶⣿⣷⣶⣾⣶⣶⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⠛⢿⣿⡟⢛⠛⠛⠟⢛⠻⡛⢛⠛⡟⢛⣿⠛⡛⢻⣿⣿⢿⡿⠛⣻⣿⠛⢿⡛⢛⠻⠛⢻⠛⡛⠛⠻⠛⠛⠛⠛⠛⠛⢛⡛⡛⠛⠛⢟⠛⠛⣿⣿⡟⠻⡟⠛⠛⠛⡿⠛⣿⠛⡛⠛⠛⠟⠛⢻⣿⣿⣿⣿
⣿⣿⣿⣿⠃⠀⠘⣿⣷⠀⡀⣸⣄⠛⢀⡇⢀⡐⠃⠘⠋⠀⠃⣠⣿⡁⠂⡐⠀⣿⡏⢀⠈⠃⠘⢀⣦⠈⣸⠃⠀⢙⠀⡄⢸⡇⠘⣧⡘⢃⡇⠀⡀⠋⠀⠈⣻⡟⢠⠀⢻⡀⡀⣰⠃⡀⠘⠀⢻⠃⢸⡇⠀⢈⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢻
⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⡇⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⡇⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⠤⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⡗⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡉⠉⠉⠁⠀⠀⠀⠀⠀⢹
⣿⣿⣿⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⣇⡇⠀⠀⠀⠀⠤⠤⠤⠤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⡇⠇⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⡇⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠀⢸⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣞⢿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠁⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡿⠷⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⡇⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸
⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠛⠀⠃⠀⠀⠀⠀⠀⠀⡿⢿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⡿⠟⠋⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⡇⠀⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠛⠛⠛⠛⠛⠛⠿⠀⠀⠀⠀⠀⠘⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺
⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⢸
⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⢀⠀⠀⠀⠀⠀⡀⠀⣀⢸
⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣶⣶⣶⣷⣶⣶⣶⣶⣶⣶⣾⣶⣾⣶⣷⣶⣷⣶⣷⣾⣶⣾⣶⣿⣶⣷⣶⣷⣾⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 224

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/06/28/GNU_Linux_Consolidates_in_North_America.shtml
    Gemini version at https://techrights.org/n/2024/06/28/GNU_Linux_Consolidates_in_North_America.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ GNU/Linux Consolidates in North
America⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jun 28, 2024


The following figures (% in the Y axis) do not include Chromebooks, whose share
is even higher, but the relative increases are what_matters:


                🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNU/Linux in North America⦈


The "market share" (for lack of a more appropriate term, as Linux is not
"sold") statistics from the northern part of America show Android_rising_a_lot
this_year. Android uses Linux. But the same is true for GNU/Linux "proper",
i.e. Free software as opposed to Google Android with loads of proprietary
spyware on top of it. Here are this_month's_statistics_as_ODF. █




⣿⣿⣿⣿⡿⠟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢻⣿
⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢀⢸⣿
⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢸⣿
⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⢸⣿
⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⢸⣿
⣿⣿⣿⣿⡇⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⢸⣿
⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⢸⣿
⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⢸⣿
⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠒⠒⠒⠒⠒⢒⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣖⠒⠒⠒⠒⠒⠒⠒⠂⠀⢠⡆⠀⠀⠀⣿⣿⣿⢸⣿
⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⡀⠀⠀⠀⢰⣶⣼⣿⡆⠀⢠⣿⣿⣿⢸⣿
⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣾⡇⠀⠀⢠⣾⣿⣿⣿⡇⠀⢸⣿⣿⣿⢸⣿
⣿⣿⣿⣿⡇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣸⣿⣿⣿⣿⣿⢠⣾⣿⣿⡏⢸⣿
⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿
⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿
⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⡇⢸⣿
⣿⣿⣿⣿⡇⠈⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡇⡇⢸⣿
⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⡇⢸⣿
⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⣿⣿⢸⡇⠃⢸⣿
⣿⣿⣿⣿⡇⠀⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣿⣿⣿⡟⣿⢸⡇⣿⣿⣿⠸⠃⠀⢺⣿
⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣦⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⡇⣿⢻⡏⣿⠇⣿⢸⡇⣿⢹⡏⠀⠀⠀⢸⣿
⣿⣿⣿⣿⡇⠀⢰⣦⣄⣠⣤⣤⣦⣤⣤⣶⣿⣿⣷⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⢻⡏⣿⠸⠁⢻⡿⣿⢿⣿⣿⣿⣿⢿⡇⣿⢻⡿⣿⡟⣿⢿⣿⣿⣿⡿⢸⡇⣿⢹⣿⢻⠃⣿⢸⡇⢹⠀⠻⠀⠇⢻⠈⡇⠀⠀⠀⢸⣿
⣿⣿⣿⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠃⣿⢻⡟⢸⠇⣿⠀⠀⢸⠁⣿⢸⡇⢻⠿⡿⢸⡇⣿⠸⡇⢸⠀⣿⢸⡇⢿⠋⡇⢸⠇⠿⠀⡇⠈⠀⠿⠀⠇⠘⠀⠀⠀⠀⢸⠀⠇⠀⠀⠀⢸⣿
⣿⣿⣿⣿⡇⣿⣿⡿⣿⣿⣿⣿⡿⣿⢿⣿⣿⡟⣿⢻⡟⣿⠿⣿⠘⠀⣿⠈⡇⠘⠀⠏⠀⠀⠈⠀⠿⠈⡇⢸⠀⡇⠘⠀⠸⠀⡇⠸⠀⠟⠘⠁⢸⠀⠁⠸⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⣿⣿⣿⣿⡇⣿⠸⡇⢿⠙⡟⢸⡇⢿⠘⡇⢸⠁⡿⠸⡇⢹⠀⠇⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿
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                    ䷩ 𝚕𝚒𝚗𝚎 285

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/06/28/IBM_So_Long_Suckers_Your_Free_OS_is_Now_Proprietary_Pay_IBM_or_.shtml
    Gemini version at https://techrights.org/n/2024/06/28/IBM_So_Long_Suckers_Your_Free_OS_is_Now_Proprietary_Pay_IBM_or_.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ IBM: So Long, Suckers. Your Free OS is Now
Proprietary. Pay IBM or Else.⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jun 28, 2024


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


THIS was published_yesterday:


                 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇IBM: Pay us... or else!⦈


It was a 'PHB' or marketing decision. They didn't bother to ask Fedora
volunteers, for example, how they felt.


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


Red Hat is now sales and marketing. The developers are slaves. They even hired
many executives from Microsoft with no technical experience and no knowledge of
GNU/Linux.


This is a betrayal by IBM almost_exactly_a_year_after_turning_RHEL_into
proprietary_software (you are not permitted to share code of it and you need to
pay to get the code). █




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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠃⠀⠀⠃⠘⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠐⠒⠀⠈⠉⠉⠉⠉⠁⠀⠒⠀⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠐⠒⠀⢀⣀⣀⣀⣐⣒⣀⣉⣀⣈⣉⣉⣉⣉⣉⠉⣉⣉⣉⠉⢉⣉⣉⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠵⠬⠬⠦⠴⠧⠦⠷⠥⠦⠬⠥⠭⠤⠁⠯⠤⠤⠃⠳⠤⠤⠤⠴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣤⣤⣧⣥⣼⣤⣴⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣉⣏⣯⣁⣍⣼⣠⣹⣁⣒⣝⣿⣭⣩⣗⣏⣭⣕⣅⣿⣻⣟⣉⣧⣏⣏⣉⣉⣍⣍⣉⣹⣍⣿⣩⣍⣽⣋⣍⣏⣉⣉⣍⣽⣹⣍⣹⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⣹⣋⣩⣍⣇⣕⣿⣪⣺⣨⣿⣶⣍⣹⣯⣉⣍⣭⣁⣽⣹⣯⣍⣁⣨⣍⣏⣍⣉⣥⣉⣩⣩⣹⣍⣭⣹⣁⣏⣩⣙⣩⣩⣍⣏⣍⣩⣉⣹⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣩⣉⣯⣍⣏⣉⣉⣉⣏⣉⣹⣉⣉⣉⣏⣏⣉⣏⣭⣙⣩⣍⣏⣉⣙⣍⣩⣏⣍⣋⣍⣉⣉⣋⣉⣹⣩⣩⣉⣉⣉⣹⣝⣋⣏⣹⣍⣟⣏⣯⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⣤⡀⠀⡄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠈⠀⠈⠁⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣧⣤⣧⣧⣧⣤⣯⣬⣬⣸⣿⣿⣯⣲⣤⣦⣤⣥⣾⣯⣾⣿⣿⣕⣦⣤⣬⣴⣥⣷⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣆⣿⣿⣿⣿⠟⠁⠀⠀⠈⢺⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢹⠿⠿⠿⠿⠏⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠸⣿⡇⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡇⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡇⣿⣿⣿⣟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⢿⣅⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣽⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⣴⣤⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡝⡏⠏⣯⣽⠩⢹⡇⣜⡆⠛⢹⣽⡸⣿⢹⠩⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣿⣮⣽⣮⣥⣧⣽⣦⣦⣯⣶⣿⣶⣥⣮⣵⣤⣮⣺⣦⣥⣮⣮⣠⣷

                    ䷩ 𝚕𝚒𝚗𝚎 405

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/06/28/IBM_Was_Never_the_Good_Guy_Just_a_Self_Serving_and_Opportunisti.shtml
    Gemini version at https://techrights.org/n/2024/06/28/IBM_Was_Never_the_Good_Guy_Just_a_Self_Serving_and_Opportunisti.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ IBM Was Never the "Good Guy", Just a Self-
Serving and Opportunistic Money- and Power-Hungry Monopolist, Living Off of
Taxpayers' Money (Government Contracts)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jun 28, 2024


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Trump's_boy_slave⦈_


Not much has changed. IBM is a bad company. The Nazi Party of Germany was its
second-biggest client at one point and now it's looking to profit from the work
of slaves.


IT IS not unreasonable to say that without IBM, there would be no Microsoft.
The reason Microsoft got off the ground was Bill Gates' mother being inside
IBM, based on privilege (family "pedigree", not any actual accomplishments).
Gates' first company had already gone bankrupt and he had been arrested several
times. This high-schooler, who never even finished college, was no success
story and the so-called "business acumen" boiled down to crime, not excellence.


This past week we saw more condemnations of IBM, which turned RHEL into
proprietary software almost exactly a year ago. In effect, IBM privatised_the
work_of_unpaid_volunteers_or_slaves. The FSF, which had been taking IBM money
(or Red Hat money, like many other organisation in that domain), has_said
absolutely_nothing_about_that.


The commonly-used CentOS will be "End-of-life" (EOL) in a few days. No patches
after Sunday. IBM hopes that some businesses which wrongly assumed RHEL would
stay free - at least in the licence sense - will end up becoming paying
clients, in effect lining the pockets of IBM's under-performing executives at
the expense of all those "slaves" in fake "communities" like Fedora, led by IBM
staff and controlled by IBM.


Free software is under attack. Copyleft is under attack. Those sorts of attacks
are often maliciously disguised as "manners".


Slavery is slavery, no matter if it involves cotton slaves or overworked unpaid
volunteers, who get rewarded in panda-themed NFTs (i.e. worthless nonsense) as
they build a closed system for people who never even used GNU/Linux and take
home 8-digit salaries. █


                    🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇IBM cotton slaves⦈




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

                    ䷩ 𝚕𝚒𝚗𝚎 519

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/06/28/I_Hated_Working_at_IBM_They_Were_the_Most_Unfriendly_People.shtml
    Gemini version at https://techrights.org/n/2024/06/28/I_Hated_Working_at_IBM_They_Were_the_Most_Unfriendly_People.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ "I Hated Working at IBM. They Were the Most
Unfriendly People."⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jun 28, 2024,
updated Jun 28, 2024


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


     I hated working at IBM. They were the most unfriendly people. They
     were the worst kind of people - racism, ageism, discrimination, and
     don't forget s-xism. Consulting group guys would receive na--d images
     of woman's breasts on their computers from their friends. I witnessed
     it.


Don't forget what Watson the son did to a poor woman on a plane. We posted
links_about_that_yesterday.


This seems like a leadership problem, not just some "rotten apples". IBM's
arrogance as a decades-long monopoly is well documented.


These are IBM's_founding_family_members_and_leaders:


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




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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⢺⣧⠠⢿⣨⠉⣩⣿⣿⣿⣿⣿⣿⣿⣿⣏⠃⠋⢱⣼⢿⣿⣿⣾⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀⠛⣿⠀⠛⠁⠀⠀⠀⠉⠛⠿⣿⣿⣿⣟⣧⣷⣾⣷⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣤⣴⡄⠈⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⣴⣷⣤⣤⣄⣀⣀⣤⣠⣶⣿⣿⣿⣿⣿⣿⣿⣻⣿⡿⠏⠁⠉⠙⢿⢿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣤⣘⢻⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣩⣭⣍⢻⣿⣿⣿⣿⣷⣶⣤⣤⣶⣯⣽⣻⢿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣤⣾⣄⣀⣿⣿⣿⣿⣟⣟⣩⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⢀⣠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⣴⣿⠇⣤⣼⣿⡇⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⠿⠿⠿⠿⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⣸⣿⣿⣴⣿⡿⣋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣄⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⢀⣾⣿⣿⠿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⡛⠷⢴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢠⣾⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⠶⠶⠶⠷⢾⠠⣀⣬⣿⣿⣿⣿⣿⣿⡿⠃⣀⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢠⣶⣿⣿⣿⣿⣿⡿⢱⣿⣿⣅⣼⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣣⣿⣿⣿⣿⣿⡟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣃⠀⢠⡆⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⣠⣶⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠙⢿⣿⣿⣦⣿⠃⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⢠⣶⣿⣿⣿⠇⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⢸⣿⣿⣿⠿⠀⠀⠙⠛⠟⢿⡿⣿⣿⣿⣿⣿⣡⣶⣿⣿⣿⣿⣟⣠⣶⡿⠋⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⢸⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⢀⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠐⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣦⡀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠄⠀⠀⠀⢀⣾⣾⣷⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⡇⠀⠀⠀⠈⠀⠀⠀⣀⢾⣿⣿⣿⣿⣿⠟⣡⠀⠄⠀⠂⠀⠀⠂⣲⣵⣿⣿⣽⠁⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣠⡶⠀⠀⠀⠀⠀⠀⠉⢻⣿⡿⡋⢢⢠⢀⡄⡀⠀⡁⠀⠄⢰⣿⣿⣿⣿⢃⣾⣿⣿⣿⣿⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⣀⡀⠖⠍⠘⠎⠑⣰⠌⠈⢌⠀⡐⠂⢢⣿⣿⣿⣿⢃⣾⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠀⠀⠀⠀⢠⣶⡿⠟⣁⠀⡀⠘⠈⢞⠈⠉⠀⠀⠀⡀⣠⣿⣿⣿⣿⠃⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣦⣀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠿⢛⡴⣶⣻⣿⣷⣷⣾⣤⣿⣠⣂⠬⡶⣽⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⢿⣿⣻⣿⣿⣿⣿⠯⡁⠀⠀⠀
⣿⣿⣿⣿⠟⣿⣿⡟⣻⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣠⣿⣯⣟⣿⡿⣏⣹⣧⡛⡿⣿⣵⡄⠀⠀⠀⢀⣩⣶⣿⣿⣿⡿⢟⢟⢄⢕⠇⣩⣝⣸⡷⢞⠛⠀⠀⠀⠀⠀
⣿⣿⣿⡟⠘⣿⡟⣰⣿⣿⣿⣷⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠀⠀⠀⠀⠀⠀⢼⣿⢿⡿⡿⡅⢻⣿⠯⣵⣢⣿⣿⣿⠂⣤⣾⣿⣿⣿⡿⡟⠋⠁⠀⠀⢀⢕⣬⣿⣾⡿⡁⠀⠀⠀⠀⠀⠀⠀
⣿⣿⡟⠀⡀⢨⢾⣿⣿⣿⣿⣿⡤⡘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣻⣿⣯⢷⢿⡋⠦⣿⣾⠿⠟⠛⣡⡴⠾⢿⣿⣿⣟⠯⠋⠀⠀⠀⠀⣔⢶⡿⠿⠉⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⠇⠀⠀⠆⣼⣿⣿⣿⡗⡿⠇⠁⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⣘⢾⡷⣽⣮⠛⡛⠉⠄⠘⣡⡶⠉⠋⠁⠀⢸⢯⠽⠅⠀⠀⠀⠀⠀⠦⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⡿⠀⠀⠀⢰⣿⣿⣿⣿⠉⠊⠀⠀⢄⢠⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⢾⠷⡝⠫⠺⠙⣁⣤⣤⠦⠝⣀⣀⠀⠀⠀⠡⠉⠄⠀⠀⠀⠀⢠⠴⠓⠀⠀⠀⠀⢀⠀⢀⣤⠀⠀⠀⠀⠀⠀⠀⠀
⠋⠀⠀⠀⢠⣿⣿⣿⣟⠉⠄⠀⠀⢀⣦⡌⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣷⣾⣿⣿⣧⡀⠠⠒⠂⠀⠀⠀⠀⠀⠀⣀⢀⡀⠤⠖⠸⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠸⣿⣿⣿⠏⠀⠠⡀⣎⣏⠉⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⢀⣠⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣴⠿⠋⠀⠀⢠⠧⣴⠶⠛⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠁⣀⢉⣀⠂⡀⣶⡾⡿⠟⠇⠁⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠛⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⡿⠁⠀⠀⠀⠀⠈⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡜⠰⣻⢀⣅⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡿⢩⠦⠭⠽⠴⠨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣻⣿⣿⣿⣿⣿⣿⡿⠋⠠⠀⢐⠁⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢰⠁⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⢿⠟⠁⠀⠀⠀⠀⠁⡀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣀⣁⡀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠼⠀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠈⣿⣿⣿⡿⡁⡠⠀⡠⠀⠀⠀⠀⠀⠀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠏⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⡆⠐⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠙⠋⠀⢈⠀⠀⠀⠀⠀⠀⢀⠀⡠⠀⠀⠀⠄⠀⠀⠰⠀⡀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠊⠀⠀⠀⠰⠉⠉⠊⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 610

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

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⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ IRC Proceedings: Thursday, June 27,
2024⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jun 28, 2024


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


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


                                              #techrights_log                                                                                           #boycottnovell_log


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


                                         #boycottnovell-social_log                                                                                        #techbytes_log


===============================================================================
The corresponding text-only bulletins for_Tux_Machines and for_Techrights
contain all the text.


                          Enter_the_IRC_channels_now




⣷⡇⠀⠀⠀⠀⠀⡈⠸⣉⣉⣿⣯⣿⣿⣿⣿⣿⣿⣿⣷⣷⣿⡷⢿⣿⣿⣟⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⠿⠿⠻⠉⣥⣴⣎⣿⣿⣿⠀⢱⣧⣺⣿
⠛⠗⡦⢤⢤⣠⣰⣽⣯⣿⣿⣿⣿⠿⣿⣿⣿⣯⣽⣿⣿⣿⣽⣿⢸⣿⣿⣿⠚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢐⣿⣿⣽⣿⣿⣷⣾⣶⣿⣿⣿⣿⣿⡿⠀⣾⣿⣿⣿
⣶⣿⣿⢿⣿⣛⢻⡯⢽⣟⣲⣿⣯⣽⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⠆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠻⡃⢨⣧⡄⣻⣿
⣒⣨⣭⣭⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣿⣿⣿⣿⢿⡿⡟⣿⢹⣟⣂⣶⣿⡇⢸⠯⠁⠸⠻
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣿⣿⣽⣯⢼⣿⣿⡿⠛⠉⠉⠉⠁⠀⢸⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢹⡄⠸⣷⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠹⣿⣿⣿⣿⡟⢩⠉⢹⣴⣿⠿⠿⠿⠚⣚⣉⣠⣤⣀⣀⣀⣀⠀⢸⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣟⣛⣿⣿⣻⣻⣿⣿⣿⣿⣿⣿⣿⠀⢸⡗⠈⢿⣿⣿⣿⣿⣿⠀⢹⣿⡟⠛⣿⣿⡿⣿⣿⣿⡀⢀⣿⡿⡿⠟⠃⠈⠀⠘⠟⣿⠀⠀⠈⠙⠛⠻⠿⠿⠿⢿⣿⣿⡇⠘⣯⣵⣼⣶
⣿⣿⣿⠿⠿⠟⣛⡋⠉⣵⣶⣽⣷⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⠀⢸⣶⣶⣾⣿⣿⣿⣿⣿⠀⢸⣿⡇⠀⣿⣿⠿⠟⠛⠋⠁⢸⠀⠀⠀⠀⠀⠀⠀⠠⢄⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠉⠉⠻⠿
⠁⠻⠿⣶⣴⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣻⣻⣿⣿⠸⣿⣿⣿⠀⢸⣾⣯⢭⣿⣟⣻⣿⡱⠀⣸⡿⠇⢰⡀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠒⠠⠀⠁⠈⠛⠊⠟⣿⣿⢿⣿⣿⣿⣿⣿⣿⡧⢸⣿⣿⣻⡿⡆⣶⣮⠀⢸⣗⡛⠻⣿⠟⠛⠋⠉⠀⢸⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⡇⠄⠀⣀⣀⣀⠀⢰⡆⣿⡇⢀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣤⣀⡀⣀⣉⣨⣿⣾⣿⣿⣿⣏⣛⣸⣷⣾⣋⣥⣧⣭⣷⣦⣼⣥⡄⠀⠀⠀⠀⠀⠀⠀⠸⠒⠀⠘⡧⠄⢀⣠⣤⡴⠄⠀⣿⣿⣿⣿⣿⣿⡄⠈⡇⣿⣧⣭⣨⣻⡀⠀⣇⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⣛⣉⣁⣀⣈⣉⣈⣋⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⡀⠀⡇⣊⠠⢤⡞⣿⡅⠀⣻⣿⡿⠿⣿⣿⡇⠀⡇⠀⢸⣿⢩⣭⠧⠄⣿⣿⣿⣿⣵⡴⠆⣀⣀⣄⣂⡀
⠀⠀⠀⣴⣾⣯⣿⣿⣿⣿⣿⣿⣻⡻⣿⣿⠿⠿⠿⢛⠻⠛⠛⠉⠉⠉⠙⠂⠸⢽⣶⣤⢀⣤⣤⣴⣶⣿⣿⣷⣶⣤⣧⣌⣉⣚⡛⠿⠇⠀⣸⣿⣿⣿⣷⣿⡅⠀⡗⢒⣺⡟⠹⣿⠁⠀⣿⣿⣿⣿⣿⣿⣟⣿⣽⣿⣿⣿
⠀⠀⠈⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠁⠀⢀⢸⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣤⣼⣾⣿⣿⣿⣛⡇⠀⡟⢾⣿⣿⢼⣿⠂⠁⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠿⣛⠋⠉⠉⠒⠶⠦⡜⠘⠀⠀⣴⣿⡇⠀⠀⠚⡟⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢯⡅⣀⡀⠉⠉⠛⠻⠧⣀⣿⢸⣿⣿⢨⣿⡠⠄⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠓⠶⠶⠶⠶⣶⣿⣿⣅⠀⠀⢀⡀⠀⠀⠀⠉⠉⠛⠻⠿⣿⣿⣿⣿⣿⡟⠛⠉⠀⠀⠤⠀⡀⠀⠀⠀⠀⠀⠤⠄⠀⠂⠉⠟⠛⠭⢿⣀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠐⠛⠳⠦⢤⣤⣈⣁⡐⠢⠀⠀⠀⠀⠀⠉⠙⠻⠿⣏⠛⠻⠶⣦⣤⣄⣴⣿⣿⣶⣦⣤⣄⣀⡀⠁⠈⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠷⠶⣤⣤⣀⡀⠀⠀⠀⠀⠑⡄⠀⠀⠈⠉⠛⠛⠿⣿⣿⣿⠿⣛⣭⣴⣶⣶⣶⣦⣤⣼⣗⡒⢻⢿⡏⣹⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠳⠶⠤⣤⣈⣳⡄⠠⠀⠀⠀⠉⠓⠊⠉⠻⠿⢿⣿⣿⣿⣿⣿⡿⢿⣭⣭⣩⣿⢰⣿⣿⣿⣿⣿⣿⣿⣿
⠖⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠶⢤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠲⠦⢤⣀⣀⣀⣠⣦⣤⡀⠀⠉⠉⠛⠲⠶⣶⢟⣫⡿⣿⣨⡿⠟⠋⠁⣿⣿⣿⣾
⣄⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠶⠶⣦⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠩⠿⣿⣿⣷⣶⣦⣴⣾⣿⠿⠟⠋⠁⠀⠀⠀⣸⣯⣿⣿⣿
⠍⠄⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠁⠢⠄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠋⠉⠀⠀⠀⠀⠀⢀⣀⣾⣿⣿⣿⣿⡿
⠂⣈⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠂⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠻⣏⠭⠉⠙⠙⢋⠄
⡂⠈⠂⠐⠀⠀⣀⡀⠀⠉⣁⡦⢦⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠂⣀⡀⠀⠀⡀⠄⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠌⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠄⠀⠀⠀⠀⠀⠀⣰⣶⣶⡄⢀⢡⢴
⠀⠫⡄⠤⠄⠤⣅⣠⣄⣙⢐⣀⢀⠤⢀⠀⠀⡀⠀⠀⣀⢀⡀⠀⠀⣀⢀⠙⠐⠚⢾⡤⢤⠀⠅⡀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠈⡀⠁⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⢶⠿
⢏⣋⣷⡖⢟⠻⠗⡺⣿⣿⣿⣷⣶⣶⣶⣶⣷⣶⣶⣿⣾⣿⣿⣿⣿⡶⠾⠥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠂⠄⡤⣀⡀⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣲⣼
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 836

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

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    Gemini version at https://techrights.org/n/2024/06/28/Meme_In_50_Years.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ [Meme] In 50
Years...⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jun 28, 2024


Context: Only_About_1_in_8_Russian_Windows_Users_is_Using_Vista_11


 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Sad Russian: Microsoft's Vista 11 will take 50 years to be
                                fully adopted⦈




⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣴⣿⣿⣿⠁⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⣿⣿⣿⣿⣟⣩⠅⠮⢥⠱⣿⢎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣴⣿⣿⣿⣿⡯⣿⣖⣠⣤⣾⡿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠿⠟⠿⠛⠻⠟⣛⠻⠟⠛⠛⠿⠟⡉⠻⠟⢒⠛⠿⢛⡛⠻⠛⠛⠛⠛⠛⠛⠛⢛⡋⠉⠉⠛⠃⠚⠛⠛⠛⣛⠻⠛⠛⠛⠛⠛⠿⣿⣿⠿⢿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣇⣿⡇⣿⡇⣿⢻⣷⢸⣿⣿⡆⣿⢹⣷⢼⣏⠿⢰⣿⢹⡇⣿⡟⠛⣿⡟⠹⢻⣿⡿⠇⠀⣿⣼⣿⢸⡇⣾⣿⠿⠙⣿⡟⣸⣿⡇⢻⡲⣿⡗⢾⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⢿⡇⣿⡇⣿⢠⣤⢸⣿⣿⡆⣿⢸⣿⢨⡝⣷⢸⣿⢸⡇⣿⡟⠀⣿⡇⠀⢠⣽⢿⡆⠀⢻⣿⡟⢸⡇⣬⡿⣷⠀⣿⡇⣿⣿⣷⠈⠇⣿⡇⢸⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣜⣛⣛⣘⣃⣛⣃⣙⠛⢋⡘⠛⠛⢃⠙⠛⠃⠈⠛⠛⠈⠛⠛⠁⠛⠃⠀⠛⠃⠀⠈⠛⠛⠁⠀⠘⠛⠃⠘⠃⠙⠛⢋⣤⣛⣃⣛⣘⣛⣰⣄⣛⣣⣜⣓⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠉⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡀⠀⣄⡀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣠⣼⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⢀⣤⣤⣤⣀⣤⣶⣀⠀⡀⣀⣮⠿⠛⠉⠁⠀⠉⠛⢿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⢸⣿⣿⠟⠉⠉⠉⠉⠙⠻⣿⠁⠀⠀⠀⠀⠀⠀⠀⠉⠉⣻⣿⣿⣇⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠘⣿⣿⡴⠂⠀⠀⠀⠀⠀⢻⣿⡀⠀⠀⠦⠀⠼⢀⣴⣾⣿⣿⣿⣿⣶⡿⠂⡀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⢿⣧⣄⣠⡼⠦⠀⠀⢀⣼⣿⣿⣦⣄⡀⠀⢐⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣦⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠀
⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠈⣿⣿⣿⣿⣖⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⣿⣿⣿⣿⣿⣿⡙⠛⠛⠋⠝⣿⢻⣿⣟⣿⣽⣷⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀
⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠸⣿⣿⣿⣿⣿⣿⠟⣿⣿⣿⣿⣯⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠟⠋⠉⠁⠉⠈⠙⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠹⣿⣿⣿⣿⣿⠸⠿⠿⠛⠋⠉⢁⣼⣿⣿⣿⣿⣿⣿⣿⡿⠏⠙⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀
⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⣀⣤⣀⠀⠘⢿⣿⣿⣵⣿⣶⣆⠤⢤⠀⠚⠻⠟⠿⠟⢿⠋⠿⠟⠀⠀⠀⠿⠿⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠴⠦⣄⣉⣙⡛⠿⣿⡀⠀⠀⠀⠀⠀
⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠿⠻⠿⠿⠛⠀⠻⣿⠛⠁⠠⠿⠠⠘⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠬⠬⠵⠤⠤⠀⢀⠀⠀⡀
⠀⠀⠈⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⡸⠁⠀⠀⠀⠀⠀⠘⠀⢠⠒⠒⠒⠒⠊⠁⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠄⠀⠁⢀⣠⣤⣤⣴⣦⣤⣀⣀⠀⠁⠀
⠀⠀⠀⢿⣿⣧⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢁⣠⣤⣶⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡴⢶⣿⠋⠀⠀⠀⣰⣿⣿⣿⣿⡿⣫⣟⣻⣿⣿⣷⣦
⠀⠀⠀⠀⢩⡁⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡿⠛⠛⠿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⠁⠀⠀⣠⣾⣿⣿⣿⣿⡧⡹⡿⢽⣿⣿⣿⣿⣿
⡀⠀⠀⣠⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣴⣶⣶⣤⣄⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⠃⠐⡯⢠⣿⣿⣿⣿⣿⣿
⠃⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⠛⠻⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⠇⠐⡎⢑⣾⣿⣿⣿⣿⣿⣿
⠀⢠⡄⣤⣠⢠⡄⣤⢡⡌⠋⢤⡤⢠⣤⢡⣄⡄⣤⠄⠀⡤⠤⢠⢶⡄⢠⣤⡄⣤⠄⣤⡄⣤⢤⣠⡶⡆⠀⢤⡤⣴⢶⡀⢠⡤⡄⣤⠄⠀⣤⢤⡄⣤⢠⠀⣤⢠⣤⡄⢁⣤⡄⣤⣤⢠⡶⡄⣤⢤⠤⣤⢤⡤⢠⡤⡌⢻
⠀⠸⣿⢿⣿⢸⡇⣿⢸⡇⢹⢸⡇⣾⣽⣸⣿⡇⣿⠂⠀⡍⣿⢸⢸⡇⠀⣿⠀⣿⢂⣯⣷⣿⢺⣭⡟⣦⠀⢸⡇⣿⢸⡇⢸⡟⡇⣿⠂⠀⣿⢺⡇⣿⢸⠀⣿⠈⣿⠀⢸⣿⡇⣿⣿⢸⡇⡇⣿⠚⠀⣿⢸⡗⢸⡇⡇⢸
⠀⠀⠉⠈⠉⠈⠁⠉⢉⣉⣴⡬⠁⠉⠈⠉⠁⠉⠉⠁⠀⠉⠉⠈⠉⠁⠀⠉⠀⠉⠉⠁⠉⠉⠈⠁⠉⠁⠀⠈⠁⠈⠉⠀⠈⠉⠁⠉⠁⠀⠉⠀⣉⣁⣈⣉⣉⣡⣩⣤⣈⣩⣁⣉⣉⠈⣉⠁⠉⣸⠀⠉⠈⠉⠈⢉⡁⠀

                    ䷩ 𝚕𝚒𝚗𝚎 886

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

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⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ [Meme] More Monopolies Granted While Patent
Examiners Die (Overworking for Less
Compensation)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jun 28, 2024


                   🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Work more; Get less⦈




⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣤⢠⡄⡠⣄⢠⡤⡀⢠⢀⠀⠀⣀⠀⠄⢠⢤⡁⡼⣇⢠⡤⠀⠐⠉⠇⠀⠀⢸⡏⣿⣿⣿⣾⣷⣾⣿⣿⣿⣿⣿⣿⠿⡿⠿⠶⡷⠶⠿⣿⡿⠿⡷⡾⠿⢿⣿⢷⣿⣿⣿⣾⣶⣿⣶⣶⣶⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡟⢸⠁⡇⣿⢸⡇⡅⢨⢸⠀⠀⠁⡀⠀⢹⢸⡇⡗⢯⢸⡗⠀⠀⠀⠀⠀⠀⠀⢃⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣷⣶⣷⣶⣶⣾⣷⣷⣿⣷⣿⣷⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠛⠀⠑⠁⠈⠁⠀⠈⠘⠂⠀⠃⠃⠁⠈⠊⠀⠃⠘⠘⠓⠀⠀⠀⠀⠀⠀⠀⠀⠨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣋⣛⣿⣿⣿⣿⢿⠿⣿⣿⣿⣿⠿⠿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠰⠶⣦⣤⡀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣾⣿⣿⣯⣤⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣾⣿⣿⣿⣶⣶⣿⣿⣿⡇⣿⡏⡯⢉⡋⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣼⣿⣿⣿⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢷⡭⠉⣴⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣥⣬⣿⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣄⠀⠀⠈⠐⠉⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣹⣿⣷⣄⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣴⠄⠀⠀⠀⠀⠀⠀⣿⣿⣟⣿⢻⣿⣿⣿⣿⣿⣻⣿⣿⣿⣃⣀⢀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⢼⣿⡳⠄⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⡿⣯⣿⡟⣩⣿⡟⣩⣿⡿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠢⢤⣌⠓⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠄⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣙⣉⣉⣿⣷⣶⣿⣾⣿⣬⣴⣮⣿⣬⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠉⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣬⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣀⠀⠐⠙⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣬⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣧⣤⣽⣿⡿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⣷⣤⣤⣤⣤⣿⣿⠉⣉⠉⠭⢹⡉⡏⢹⠉⡏⣹⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⣶⣾⣿⣍⣏⣍⣧⣥⣥⣼⣿⣿⣿⣿⣿⣿⣿⣿⡧⠈⢻⡜⠿⠭⠶⠿⠛⠉⠉⠉⠉⢉⣉⣉⣉⣉⣉⣉⣉⣠⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣬⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣴⢷⡶⡿⣿⣿⣿⡿⡿⡿⡿⣿⢿⢿⡿⡿⣿⢿⣿⣿⣶⣿⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣬⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢘⡄⣏⣻⢹⢱⡇⣧⡇⣏⢂⢧⡡⡸⣌⢽⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣴⣽⣿⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⠿⣿⡿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣼⣇⣧⣽⣸⣸⣇⣿⣅⣧⣅⣧⣟⣴⣼⣻⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣴⣿⣩⣿⣡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣩⣿⣥⣾⣇⣿⣯⣵⣿⣿⣿⣿⣿⣽⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 929

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/06/28/Nearly_a_Month_Has_Passed_and_Nobody_at_the_Debian_Project_Even.shtml
    Gemini version at https://techrights.org/n/2024/06/28/Nearly_a_Month_Has_Passed_and_Nobody_at_the_Debian_Project_Even.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Nearly a Month Has Passed and Nobody at the
Debian Project Even Attempted to Explain What Seems Like Back-dooring of Debian
(and Hundreds of Distros That Are Debian-
Derived)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jun 28, 2024


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


I can cynically guess that only matters when a user with a Chinese name does it


Edward_Brocklesby_&_Debian


                🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Edward Brocklesby & Debian⦈


Debian's only response was a_personal_attack_on_the_messenger (within hours of
the above-shown series starting), nothing else.


Remember that if you back-door Debian, then you back-door most_distros/
deployments_of_GNU/Linux, even embedded devices. This outdated_chart shows many
distros which no longer exist (last updated 2016).




⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⡇⡇⣿⣿⣿⢰⣿⣿⠰⢸⣿⢸⠀⠘⣸⣿⠃⠏⣔⡿⢒⣄⡤⠀⢠⠀⠄⡤⢤⣤⡄⠀⡄⢠⡤⠀⣤⣤⠀⣤⠤⠠⠠⠤⠤⠤⠤⠤⣬⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⢰⠇⣿⣿⡟⢸⣿⡇⡆⣿⡇⠃⠀⢣⣿⡇⡆⣷⢰⣷⢡⠏⢌⣵⣶⠆⣒⣀⣀⣲⣒⢘⣛⣻⣟⣛⣟⣟⣙⣟⣛⣉⣉⣙⡛⠟⠛⠛⠿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢡⣿⣿⣿⣿⣿⣿⣿⣿⢸⢸⣿⣿⡇⣿⣿⡇⢻⣿⢀⠆⢰⢸⢿⠁⢠⡈⣸⡏⣸⠈⣿⣿⢣⡆⣿⣿⣷⣶⡶⠔⠛⠛⠋⠙⠻⠛⠛⠟⠛⠻⠛⠛⠛⠳⠛⠿⠛⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣼⣿⣿⣿⣿⣿⣿⣿⡇⡼⣼⣿⣿⢡⣿⣿⢀⣸⣿⢸⠀⠈⣸⣾⢰⢸⡇⣿⠇⡇⢰⣿⡏⣸⡇⣿⣿⣿⡏⠜⣡⡦⣒⣂⡀⠀⠀⠐⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢡⣿⣿⣿⣿⣿⣿⣿⣿⢡⢇⣿⣿⡟⣸⣿⡏⡀⣿⡇⡄⠀⡆⣿⡟⠈⣆⢁⢿⢸⢃⣼⣿⡇⣿⡇⣿⣿⣿⠸⢸⡿⣰⣿⢣⣶⢖⣠⡤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠨⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢃⣾⣿⣿⣿⣿⣿⣿⣿⠏⡜⣼⣿⣿⢣⣿⣿⢡⣸⡿⠰⠁⠰⣸⣿⢃⢡⡝⣼⡈⡼⢀⣿⣿⢸⣿⡇⣿⣿⡇⡄⣾⠇⣿⡇⣾⡏⣼⡟⣰⡿⠡⢀⠀⠀⠀⠒⠒⠒⢒⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣣⣾⣿⣿⣿⣻⣿⣿⡿⠋⢜⣼⣿⡿⣣⣿⠿⠡⣰⠿⠡⠁⠠⣡⡳⠋⢠⠖⣡⠟⡱⢃⣼⡿⢃⣿⣿⡇⣿⡿⠁⣸⡿⣸⡿⢡⡿⢠⣿⢃⣿⢃⠁⣰⡖⣨⣤⡤⠄⠈⠈⣿⣿⣿⣿
⣿⣿⡟⣒⠲⣶⣶⣦⡤⡐⢦⣄⠐⢶⣤⣄⠲⣶⣶⣦⣄⠀⡢⣤⡠⣀⠐⢤⣶⣶⣦⣄⠲⣶⣶⣶⣶⣤⡀⡀⣔⢤⣄⡠⡢⣄⠢⣄⢰⣦⣦⣤⡀⢠⠲⣤⡐⣄⠰⣄⢲⣴⣤⢢⡄⢰⣄⢰⡄⢶⠦⠐⠂⠈⢿⣿⣿⣿
⣿⣿⡐⣝⣠⣿⣿⣿⣿⣯⣎⢻⣷⡔⡝⣿⣷⡘⣿⣿⣿⣷⡕⡜⣿⣌⢧⡀⢻⣟⣿⣿⣷⡙⣿⣿⣿⣿⣷⡠⠘⣆⣿⡖⠰⢹⣇⢹⡆⢿⣿⣿⣧⠀⢧⢹⣿⠸⡆⢿⡆⢿⣿⡏⢿⠀⠻⠆⠉⠀⠄⠤⠀⠠⣿⣿⣿⣿
⣿⡿⠳⠚⠿⢿⣿⣿⣿⣿⣿⣆⢻⣿⡘⡸⣿⣷⠸⣿⣿⣿⣿⡸⡜⣿⡎⣧⠀⢻⡟⣿⣿⣷⢸⣿⣿⣿⣿⣇⠀⢹⠸⣷⠁⡇⣿⠘⣷⢸⣿⣿⣿⡄⢸⠸⣿⡇⣿⡸⣷⡘⠿⠿⠬⠓⣀⣀⡀⣀⣀⣈⣉⣹⣿⣿⣿⣿
⣿⣷⣶⣴⣴⣾⣿⣿⣿⣿⣿⣿⡌⣿⣷⢰⢻⣿⣧⢹⣿⣿⣿⣧⢱⢸⣿⡸⣇⠀⣿⣻⣿⣿⣇⢿⣿⣿⣿⣿⢰⢸⡇⣿⣶⢰⣿⡇⣿⡌⣿⣿⣿⣇⠋⣇⢻⣷⣜⠷⠌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⢸⣿⡆⡆⣿⣿⡌⣿⣿⣿⣿⡎⣇⣿⣇⢿⡀⢸⣿⣿⣿⣿⢸⣿⣿⣿⣿⡌⠀⡇⣿⡏⠸⡼⣧⢸⣧⢹⣿⣿⣿⣌⢌⣓⠂⠀⠀⣀⣈⣀⣀⣀⣀⣀⣈⣁⣀⣀⣈⣀⣨⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡎⣿⣿⢸⢹⣿⣧⢸⣿⣿⣿⣷⢸⢹⣿⣸⡇⠀⣿⢿⣿⣿⡆⣿⣿⣿⣿⡇⡄⣿⢸⣷⢁⢣⢻⣦⡛⠷⠍⠉⠉⠙⠓⠀⠂⠐⠒⠂⠀⠒⠀⠀⠐⠀⠐⠀⠀⠂⠐⠂⠐⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢹⣿⡎⡾⣿⣿⡘⣿⣿⣿⣿⡘⡆⣿⡇⣿⠀⢹⣿⣿⣿⣇⢻⣿⣿⣿⣿⢀⠸⡆⢿⣯⡢⣙⠚⠁⠀⠈⠩⠭⠭⠭⠩⠍⠩⠭⠭⠩⠭⠉⠩⠩⠍⠩⠍⠭⠭⠩⠍⢹⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⣿⣇⡇⣿⣿⡇⣿⣿⣿⣿⡇⣇⣿⣷⢹⡄⠸⣿⣿⣿⣿⢸⣿⣿⣿⣿⡌⡄⠻⣌⠻⠿⠂⠰⠶⠶⠶⠶⠾⠶⠶⠶⠶⠶⠶⠿⠶⠷⠶⠶⠶⠶⠾⠶⠶⠶⠶⠶⢾⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⣿⣿⢸⢸⣿⣧⢸⣿⣿⣿⣿⢹⢸⣿⣸⡇⠀⣿⣿⣿⣿⠘⣿⣿⣿⣿⣷⡔⢄⡨⠉⠀⠀⠠⠤⠤⠤⠤⠬⠥⠤⠤⠤⠠⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠥⠤⠤⢬⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢻⣿⡈⣼⣿⣿⠸⣿⣿⣿⣿⢸⡜⣿⡟⣷⠀⢿⣿⣿⣿⡆⣿⣿⣿⣿⣿⣿⣷⣦⣴⣦⣴⢤⣦⣦⢐⣀⠀⠒⠂⢐⣀⢐⣀⣒⣐⣂⢀⠀⢐⣀⣐⣀⣀⣀⢀⣀⢐⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⡇⡏⣿⣿⠀⣿⣿⣿⣿⡆⡇⣿⡇⣿⠀⢸⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⡏⣡⣬⠉⢭⣅⢩⣥⢤⣭⣤⣤⣤⣬⡠⠀⠀⠤⠠⠄⠠⠤⠤⠤⠤⠤⠤⠤⠬⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⡇⡇⣿⣿⡆⣿⣿⣿⣿⡇⡇⣿⣷⢻⡀⢸⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⡽⠌⠛⣐⣀⣐⣂⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣐⣂⣐⣀⣀⣀⣐⣿⣿⣿⣿
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⡏⣭⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣭⡝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣿⡏⣭⣭⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⡇⣿⣿⡇⣿⡏⣯⣟⣞⣧⡟⠾⢿⣟⣣⣿⣿⡿⣿⣿⡇⣿⡎⣿⣛⣻⣳⣿⡏⡯⣿⣿⣟⣵⣿⣿⣿⣛⣻⣼⣻⣟⣛⢿⡝⣽⣿⣿⣵⣝⢯⣿⣿⡇⣿⣿⢇⣿⣛⣿⢘⡣⡇⣿⠽⢻⣷⣝⣿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⣷⣶⣶⣷⣿⣾⣿⣾⣿⣾⣿⣿⣿⣿⣷⣿⣿⣾⣿⣿⣷⣶⣶⣿⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣾⣾⣿⣿⣿⣷⣿⣿⣿⣶⣶⣷⣿⣿⣷⣶⣶⣿⣿⣿⣿⣾⣷⣷⣷⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⣭⣟⣿⣿⡿⣿⣿⣿⣿⣽⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣟⣿⡿⣿⣿⣿⣟⣿⣿⣻⣿⣿⣿⣿⣻⣿⣿⣿⣿⣻⣿⣿⣽⣿⣿⣿⡿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣟⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣻⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⢿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣟⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣯⣿⣗⣿⣿⣷⣻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣿⣾⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⣿⣿
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣽⣿⣷⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣧⣿⣿⣧⣿⣿
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⣿⣿⣾⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⣿⢿⢿⡿⣿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⣿⣷⣾⣽⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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                    ䷩ 𝚕𝚒𝚗𝚎 1038

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/06/28/Never_Assume_That_Because_the_Law_Exists_the_Powerful_Will_Foll.shtml
    Gemini version at https://techrights.org/n/2024/06/28/Never_Assume_That_Because_the_Law_Exists_the_Powerful_Will_Foll.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Never Assume That Because the Law Exists
the Powerful Will Follow the Law⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jun 28, 2024


                     🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇The law.... Ha!⦈


Just because something is "the law" does not mean a company like Microsoft or
an agency like the CIA is going to obey it.


This issue remains totally unsolved and nobody got punished for it: (the US
actually buried the matter by compelling Assange to plead guilty, so it_can
happen_again)


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇CIA sued over alleged spying on lawyers, journalists who met
                                   Assange⦈


    🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Julian Assange lawyers sue CIA over alleged spying⦈


  🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇A Spanish company and the CIA found guilty of violating
                     rights of Julian Assange’s visitors⦈


  🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Lawyers for WikiLeaks founder Julian Assange sue CIA for
                               spying on them⦈


Who's going to hold them accountable now? █


Related: High-Level_Criminals_Associate_Privacy_With_Crime_Because_They_Want
Privacy_Only_for_Themselves_(Control_But_No_Accountability) | Massachusetts
Institute_of_Tall_Tales_(MIT)_Covers_Up_Bill_Gates_Bribery_of_MIT_Through_a
High-Profile_Pedophile,_Citing_No_Evidence_Other_Than_Representatives_of_Gates
Himself




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⣤⠶⣴⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣆⣤⣤⡴⠿⣛⣩⣿⣿⣿⣿⣿⣿⡿⠋⠀⢸⣿⣧⡀⠀⠉
⠀⠀⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣟⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⡦⠀⠀⠙⠻⣿⣶⣦
⣄⢠⡿⢿⣛⣝⡋⠹⣿⣿⣿⣿⣿⣿⠻⣿⣿⣿⣿⣿⣿⣿⡇⢻⡟⠿⣿⣿⣿⡿⠟⠁⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠻⢿⣿⣿⣿⣿⣿⣿⠿⠟⠋⠀⠀⣀⣠⣄⠀⢲⣿⣿⣿⣷
⣿⠀⢱⣯⣿⣿⣿⣦⡙⢿⣿⣿⣿⠋⠀⠈⠛⠿⣿⣿⣿⡿⠁⠀⠁⣤⣿⣿⣿⣽⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⣰⡟⠀⠀⠀⠀⠀⠈⠙⠋⠉⠀⠀⠀⢰⣾⣿⡿⠟⠛⠛⠙⢿⣿⣿⣻
⠉⠸⠮⡻⣿⣿⣿⣿⡧⠀⠙⠋⠁⠀⠀⠀⠀⠀⠀⣽⡿⠁⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⣀⣨⣿⣿⣿
⠀⠀⣿⣾⠾⠏⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣦⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠽⣿⣧⢠⣤⣤⣀⣢⣖⣲⣶⣶⣾⣿⣿⣿⣯⣥⣤
⣿⣿⣿⣿⣷⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⡟⠛⢛⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣁⣶⡄⣶⣾⠀⠀⣠⡆⢀⡀⢀⣼⣯⠘⠻⠻⠟⠛⢜⠿⣿⣿⣿⣿⣥⣤⣶⡾⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠙⠋⠁⠻⣿⣿⠚⠣⡾⢿⡇⠉⢙⠀⠀⢹⣿⣿⣿⣷⡿⢿⠷⠶⣤⣤⣤⣀⣀⣀⣀⣈⣉⣉⣀⣀⣈⣛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠉⠙⠁⢻⣿⡿⠿⠟⠛⠛⠛⡋⠚⠁⠀⠀⠀⠀⠀⠼⠟⠀⠀⠀⠸⡟⣷⡀⢠⠀⠀⠈⡿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⣛⣛⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣠⡤⣴⠿⣿⣿⣶⡶⠾⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢀⣤⣇⣿⣵⡿⠀⠀⠀⠈⠻⣿⣿⣿⣷⠀⠀⠀⠀⠀⣤⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⠟⠙⢀⣨⠿⣿⣿⣷⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⣿⣿⣿⡇⠀⠀⠀⠀⠀⠻⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⢋⣡⣤⠆⠊⠉⠀⠀⢹⣿⣿⣿⣿⣿⡛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⠃⠀⠀⠀⠀⠀⠘⢿⣿⣿⣷⡀⠀⠀⠀⠀⠀⣤⣀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⣃⣡⠴⠞⠉⠁⠀⠀⠀⠀⠀⠀⠀⠉⠉⢉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⡟⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣷⣅⡄⠠⠖⣇⣷⠶⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣩⣥⢶⣿⣋⢅⢀⣀⣤⣤⣶⠂⣦⠀⠀⠀⢠⡂⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣾⣧⠁⠀⠀⠀⠀⠀⠀⠀⠀⣅⣿⣿⡿⠏⢸⠀⣴⠯⡅⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡼⣿⡿⡿⠛⢋⠀⠘⠄⠀⣴⣏⠁⢀⠎⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⢀⣸⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⡘⣶⣚⣃⣏⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⢫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⡔⠁⠀⠀⠐⠉⠘⠒⠦⣼⠛⠿⢷⣼⠄⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢿⢏⣻⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢿⣛⣁⣀⣀⢀⣀⣃⢈⣇⡁⢙⣀⣀⣊⡀⠘⠀⣀⣀⠀⠀⠀⣀⣀⣈⣻⢛⣛⣻⢟⣛⣛⡧⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⣒⣛⣘⠃⠀⠀⠀⠀⠀⠀⠀⠀
⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠘⢻⣿⣿⠛⢸⣿⣿⢸⣿⡇⢸⣿⣿⣻⣣⡀⠀⣿⣿⠀⠀⠀⣿⡿⣿⡟⣼⣿⡇⢸⣿⣿⢁⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠟⣾⣟⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⣿⣿⣿⣿⣿⣿⠿⠿⠿⣿⣿⠿⠿⠛⠉⠀⠀⢸⣿⣿⠀⢸⣿⣿⣾⣿⣷⣸⣿⣿⣭⡝⠅⠀⣿⣿⠀⠀⢰⣿⡇⣿⣷⡟⣿⣇⣿⣿⣿⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⣵⣶⣋⣟⡁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢹⣿⣿⣿⣿⠹⣶⣶⣶⣦⣟⡃⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢹⣿⣿⣿⣿⣿⠉⠁⠀⠀⣿⣿⠀⠀⢸⣿⣧⣿⣿⢀⣿⣿⣿⡇⣿⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣸⠼⣷⣲⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⣿⣿⣿⣿⣷⠹⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢸⣿⣿⣾⣿⣿⣶⡆⠀⠀⣿⣿⣶⡆⣿⣿⠏⢿⣿⣿⢿⣿⣿⠡⢿⣿⣿⠃⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⡟⣭⢿⣟⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠸⣿⣿⣿⣿⣦⣜⠛⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣶⣿⣷⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣯⡧⣿⣞⣷⡟⠀⣀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣿⣛⣿⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⣭⣿⣷⢻⡇⡴⠾⣾⣋⣳⠄⠀⠀⠀
⠀⠛⠁⢿⣿⣿⣿⣿⣿⣛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣀⣀⣼⣻⣟⣿⣿⣷⣶⣤⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⣿⣿⣛⣿⣾⠀⢷⣷⣿⣿⣿⣤⣀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠿⢿⣿⣿⠿⠋⠛⠁⠀⠀⠀⠀⠀⠀⠉⠙⠛⠋⠁⠀⠉⠉⠁⠀⠀⠀⠀⠀⢀⣨⡾⠿⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣷⣤⣼⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣟⠉⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠠⠈⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⢩⡶⠂⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡿⠷⠷⠂⠀⠀⠀⢀⠽⠟⣻⣶⣶⣿⣿⣧⣀⣀⠀⣀⣤⣤⣶⣾⣷⣷⣶⣶⣶⣶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⠀⢫⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢰⣾⣿⣿⣿⣿⣿⡿⣿
⠮⠹⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠶⣿⣶⣯⣿⡟⣻⣿⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠲⣿⡴⠦⡿⣽⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⡿⢃⠐⣸⣿⠓⣿⣿⣿⣿⣶⣶
⠀⠀⠸⢿⣿⣿⣿⣿⣿⣷⣀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠉⠀⠀⠀⣿⣿⣿⣿⣿⣯⣿⣿⣶⢺⣿⠔⣿⡛⢻⣿⣿⣿
⡶⠶⣴⣻⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣆⣤⣤⣤⠿⢟⣫⣵⣿⣿⣿⣟⠀⠀⠀⠰⡿⣿⣧⡀⠈⠉
⠀⠀⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠉⠻⢿⣶⣶
⡀⣼⡿⢟⣻⣝⡛⢿⣿⣿⣿⣿⡿⠀⠀⠉⠛⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⡿⠟⠁⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠛⢿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⢀⣀⣤⠀⢐⣿⣿⣿⡿
⣷⠈⢾⣽⣿⣿⣷⣈⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⡿⣧⣤⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠈⠙⠛⠋⠉⠀⠀⢠⣶⣿⡿⠿⠛⠛⠉⢻⣿⣿⣟
⠁⠼⢿⢿⣿⣿⣿⣿⡇⠈⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⢙⣿⢉⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⢀⣠⣿⣿⣿
⠀⠐⣷⣷⠿⠃⠀⠸⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⠾⠋⠁⠄⠀⠀⠀⠀⠀⠀⢽⣿⣷⡠⣄⣤⣄⣠⣴⣖⣶⣶⣾⣿⣿⣿⣯⣭⣥
⣿⣿⣿⣿⣷⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣅⣲⡄⣰⣽⠀⠀⢠⣆⢀⣀⢀⣸⣿⠘⠺⠫⠿⠛⣟⠿⣿⣿⣿⣿⣯⣤⣴⣿⡿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠉⠋⠁⠻⣿⣿⠟⠻⡺⠿⡇⠁⠨⠀⠀⢹⣿⣿⣿⣿⣽⣿⠷⢤⣤⣤⣄⣀⣀⣀⣀⣉⣉⣉⠉⣁⣐⣛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠙⠛⠛⠘⢿⣿⡿⠿⠿⠟⠛⠛⡛⠚⠉⠀⠀⠀⠀⠀⠼⠿⠁⠀⠀⠩⢿⢷⡀⢀⠀⠀⠈⢿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠙⠛⠛⠛⣻
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⡤⣴⠿⣷⣷⣶⡶⢶⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣼⡿⠀⠀⠀⠈⠻⣿⣿⣿⣿⠀⠀⠀⠀⠀⢠⣴⣴⣶⣶⣶⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⠟⠙⢀⣨⢿⣿⣿⣷⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣽⣿⣿⡇⠀⠀⠀⠀⠀⢻⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⢋⣩⣤⠄⠊⠉⠁⠀⢹⣿⣿⣿⣿⣿⡛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⣿⣿⠁⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⡀⠀⠀⠀⠀⠀⢠⣀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣃⣠⡴⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⣔⣄⠀⠤⢞⣺⣬⠁⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣛⣉⣭⣶⣾⡋⣅⢀⣀⣠⣤⣴⠀⣆⠀⠀⠀⢠⠂⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣗⠁⠀⠀⠀⠀⠀⠀⠀⠀⣈⢿⣿⣿⠿⢹⡆⣨⠭⣅⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣣⡿⣿⣿⡿⠛⠋⠀⠙⠄⠀⣰⡛⠁⢠⠎⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⣸⣿⣿⡧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠁⠀⠀⢈⠴⠬⠇⣻⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⡖⠁⠀⠀⠀⠉⠐⠦⣤⡾⠿⠿⣶⣼⠄⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡏⡽⠿⣯⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣙⣁⣀⣀⢀⣀⣆⢰⣖⡂⢙⣀⣀⣊⡀⠀⠀⣀⣀⠀⠀⠀⣀⣀⣈⣹⢛⣛⣻⣿⣟⣛⡇⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢁⡾⡽⢱⠇⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢻⠙⢻⣿⣿⠛⢸⣿⣿⢸⣿⡧⢸⣿⣿⣿⣣⢀⠂⣿⣿⠄⠀⠀⣿⡿⣿⡏⣼⣿⡇⢸⣿⣿⢁⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣵⣿⣯⠁⠀⠀⠀⠀⠀⠀⠀⠀
⢹⣿⣿⣿⣿⣿⣿⠿⠿⠿⣿⣿⠿⠿⠟⠋⠀⠀⢸⣿⣿⠀⢸⣿⣿⣾⣿⣷⣸⣿⣿⣭⡽⠁⠀⣿⣿⠀⠀⢰⣿⡇⣿⣷⡟⣿⣇⣿⣿⣿⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣲⣮⡟⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀
⠈⣿⣿⣿⣿⣿⠹⣶⣶⣶⣦⣟⡃⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢹⣿⣿⣿⣿⣿⠉⠁⠀⠀⣿⣿⠀⠀⢸⣿⣧⣿⣿⢀⣿⣿⣿⡇⣿⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣌⢱⣞⣫⣍⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠸⣿⣿⣿⣿⣷⠹⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢸⣿⣿⣻⣿⣿⣶⡆⠀⠀⣿⣿⣶⡆⣿⣿⠏⢿⣿⣿⢿⣿⣿⠱⢿⣿⣿⠃⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⣾⣹⣗⣺⣻⣷⠂⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢿⣿⣿⣿⣿⣦⣜⠛⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣾⣷⣷⣾⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠖⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣟⣏⣾⣾⣯⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠸⣿⣿⣿⣿⣿⣿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣯⣛⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢯⣛⣻⣏⣯⡏⢠⣼⣷⢟⢳⡄⠀⠀⠀
⠀⠛⠉⢿⣿⣿⣿⣿⣿⡛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⢿⣿⣷⣾⣷⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⣿⣳⣿⢿⣽⠇⢿⣴⣽⣿⣿⣇⣀⠀⠀
⣿⣿⡁⠈⢹⣿⣿⣿⣿⠟⠉⠁⠀⠀⠀⠀⡀⠀⠀⠿⣿⣿⣿⠿⠋⠛⠁⠀⠀⠀⠀⠀⠀⠉⠙⠛⠋⠁⠀⠀⠐⠀⠀⠀⠀⠀⠀⢀⣠⡞⠻⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣷⣶⣿⣿⣿
⣿⣿⣷⣶⡄⠹⣟⡍⡀⠀⠀⠀⠀⠀⠀⣄⣀⠀⠀⠠⣸⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⢩⡶⠆⠀⢈⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣦⡀⠈⠛⠿⠇⠀⠀⠀⠀⠀⠟⣛⣿⣷⣾⣿⣿⣆⣠⣀⡀⣠⣤⣴⣶⣾⣿⣿⣷⣿⣾⣶⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠸⣿⣿⣿⣿⣿⣿⠿⢻
⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠈⢾⣿⣶⣿⣯⣿⣿⣉⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠚⢿⡵⠷⡽⣭⣿⣿⣿⡿⠻⣿⣿⣿⣿⣿⣿⣿⠇⠠⢿⡿⠋⣿⣿⣿⣿⣷⣾
⠈⢻⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⣀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠉⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣾⣰⠟⠁⠀⢉⡟⠿⠿⣿⣿
⡶⢦⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣆⣤⣤⣤⣿⡿⢟⣫⣽⣿⣿⣿⡉⠀⠀⠀⢻⣿⣥⡀⠀⠉
⠀⠀⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⢻⣿⠯⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⣿⣿⣿⣯⣵⣾⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠉⠻⢿⣶⣤
⠀⣾⠿⣟⣫⣙⣿⣿⣿⣿⣿⣿⠀⠀⠄⠀⠀⠀⠀⠉⠛⢿⣿⣿⡿⠿⣿⣿⣿⡿⠿⠁⠀⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣀⣠⡄⠀⣺⣿⣿⣿
⡇⠀⣚⣽⣿⣿⣧⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣥⣤⣿⣿⣿⣯⣷⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⢠⡾⠁⠀⠀⠀⠀⠈⠙⠻⠿⠟⠋⠁⠀⣶⣿⣿⠿⠟⠛⠋⠙⢿⣿⣿
⠁⠶⠝⢿⣿⣿⣿⣿⡆⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⣀⣼⣿⣿
⠀⢸⣷⣶⠿⠁⠀⠹⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⡶⠟⠁⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣀⢄⣤⣄⣠⣴⢖⣶⣶⣶⣿⣿⣿⣿⣭⣭
⣿⣿⣿⣿⣿⡿⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣶⣿⣿⣿⣿⣿⣿⡟⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠫⣲⡄⢰⣼⠀⠀⢠⣤⠀⣀⠀⣠⣿⡑⠾⠟⠿⠿⠿⠻⣿⣿⣿⣿⣯⣭⣭⣽⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠛⠉⠸⢿⣿⡟⠩⣭⣿⡧⠘⠉⠀⠀⢸⣿⣿⣿⣿⣼⣿⡿⢦⣤⣤⣀⣀⣀⣀⣀⣉⣉⠉⠉⠉⠑⣲
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠙⠛⠛⠘⢿⣿⣿⠿⠿⠿⠿⠛⠛⠚⠁⠀⠀⠀⠀⠀⡴⠿⠋⠁⠈⡀⣮⣿⡄⠀⡁⠀⠀⢿⣿⣿⣿⣿⣟⠃⠀⠀⠀⠉⠉⠉⠉⠉⠉⠙⠛⠛⠛⠛⠻
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⡤⣶⢻⣿⣷⣦⣶⣶⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣹⣿⣯⣾⠃⠀⠀⠈⠹⣿⣿⣿⣿⡄⠀⠀⠀⠀⢠⣤⣤⣤⣤⣴⣾⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠙⠀⣩⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠹⣿⣿⣿⡇⠀⠀⠀⠀⠀⠉⠀⠀⠈⠉⠁⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠛⢛⣉⣤⠄⠒⠋⠁⠀⢹⣿⣿⣿⣿⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⡄⠀⠀⠀⠀⠀⢀⣄⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢁⣀⡴⠞⠛⠉⠀⠀⠀⠀⠀⠀⠀⠉⠋⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣷⣿⣿⠁⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣄⣀⠀⣤⢼⢰⣮⡕⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢛⣋⣭⣴⡾⡫⡁⠀⣀⣀⣤⣤⢀⣆⠀⠀⠀⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣨⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⢸⢻⣿⣿⡿⠋⡖⢢⣭⣟⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣡⣿⣿⣿⡿⠿⠋⠀⠻⡀⠀⣰⡛⠁⢀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠉⠀⠀⢀⢧⡬⠵⢸⠆⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣯⡌⠉⠀⠀⠀⠓⠲⠦⣄⡺⠿⣷⣶⣼⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣷⣾⣿⣿⣿⣿⣯⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢫⣽⣭⠅⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣛⣁⣀⣀⢀⣀⣆⢰⣄⡂⢓⣀⣀⣘⡁⠐⠀⣀⣀⠀⠀⠀⣀⣀⣙⣻⢿⣿⣻⣿⣿⣟⡿⣁⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠴⡿⠇⡿⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢯⠻⢻⣿⣿⠛⢸⣿⣿⢸⣿⣧⢸⣿⣿⣛⣃⢀⠀⣿⣿⠂⠀⠀⣿⡿⣿⡟⣼⣿⡇⢸⣿⣿⢁⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢳⢯⢽⣯⡃⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⣿⡿⢿⡿⠟⠃⠀⠀⢸⣿⣿⠀⢸⣿⣿⣾⣿⣯⢸⣿⣿⣭⣽⠋⠀⣿⣿⠀⠀⢰⣿⡇⣿⣷⡟⣿⣇⣿⣿⣿⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠬⠿⣾⠳⠀⠀⠀⠀⠀⠀⠀⠀
⠹⣿⣿⣿⣿⣿⠹⣶⣶⣾⣶⣟⡃⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢹⣿⣿⣿⣿⣿⠉⠁⠀⠀⣿⣿⠄⠀⢸⣿⣧⣿⣿⢀⣿⣿⣿⡇⣿⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡌⢯⣽⡿⡏⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢿⣿⣿⣿⣿⣷⠹⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢸⣿⣿⢿⣿⣿⣶⡆⠀⠀⣿⣿⣶⡆⣿⣿⠏⣿⣿⡿⢿⣿⣿⠱⢿⣿⣿⠃⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⢸⢛⡧⠽⢿⣯⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠘⣿⣿⣿⣿⣿⣦⣜⠛⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣷⣶⣾⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣶⡖⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣛⣹⢭⣿⣽⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢹⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡿⣿⣛⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣟⡿⢿⡿⣼⣿⢀⣀⣧⡶⢶⡄⠀⠀⠀
⠀⠛⠙⣿⣿⣿⣿⣿⡿⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣧⣼⣦⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⢫⣿⣿⣧⡟⢸⣭⣽⣿⣿⣏⠀⠀⠀
⣿⣧⡁⠉⢻⣿⣿⣿⡿⠟⠁⠁⠀⠀⠀⠀⡀⠀⠀⠿⣿⣿⡿⠿⠋⠛⠁⠀⠀⠀⠀⠀⠀⠉⠙⠛⠋⠁⠀⠀⠐⠀⠀⠀⠀⠀⠀⢀⣠⡟⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣷⣶⣿⣿⣿
⣿⣿⣷⣶⡄⢸⣍⠀⢀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠠⣸⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⢩⡶⠆⠀⢀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⢈⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⡀⠈⠛⠛⠛⠂⠀⠀⠀⠀⠞⣛⣿⣷⣾⣿⣿⣧⣠⣀⣀⣠⣤⣴⣶⣾⣿⣿⣿⣿⣾⣶⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠘⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⢰⣾⢿⣿⣿⣿⣿⠿⠻
⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⢠⣼⣾⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⡧⠶⣼⢩⣿⣿⣿⡿⠛⣿⣿⣿⣿⣿⣿⣿⣿⠀⣼⣿⡿⣿⣿⣿⣿⣷⣾
⠈⢻⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⣀⣠⣶⣾⣯⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣏⡤⣽⡟⠀⠈⠿⠿⠿⣿⣿
⠶⢦⣽⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣦⣤⣤⣤⣿⣿⣿⡿⢟⣿⣿⣿⣿⠏⠀⠀⢾⣾⣤⡀⠀⠉
⠀⢀⣭⣿⣿⣿⣿⣿⣿⣿⣿⣷⡙⣿⠿⠉⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⣿⣿⣿⣿⢟⣫⣵⣶⣿⣿⣿⣿⡿⠀⠀⠀⠈⠙⠿⢿⣷⣤
⠀⡞⠿⣛⣯⣽⣿⣿⣿⣿⣿⡆⠁⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⣿⡿⠿⣿⣿⣿⡿⠿⠁⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠘⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⣀⣀⣤⠀⢲⣿⣿⣿
⡆⠀⣻⣽⣿⣿⣯⡿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣧⣠⣿⣿⣿⣤⣶⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀⠀⠈⠙⠻⢿⣿⠿⠟⠋⣴⣾⣿⡿⠿⠛⠛⠛⢿⣿⣿
⠀⠾⠻⣿⣿⣿⣿⣷⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⢀⣠⠞⠁⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⢀⣸⣿⣿
⠀⢸⣶⣾⠽⠁⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡶⠟⠁⢠⠀⠀⠀⠀⠀⠀⢐⣿⣿⣆⣠⣠⣤⣄⣤⡦⣠⣤⣶⣶⣿⣿⣿⣯⣿
⣷⣾⣿⣿⣾⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣿⣿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⣴⣦⢠⣾⡆⠀⢀⣤⡀⢀⠀⢀⣼⡏⠮⠟⢹⠿⢿⠻⣿⣯⣿⣿⣿⣭⣭⣭⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠛⠉⠹⢿⣿⡟⠃⣰⣿⣿⠈⠈⡇⠀⢸⣿⣿⣿⣿⣮⣿⡿⢦⣤⣀⣁⣁⣀⡀⠈⠉⠉⠉⠉⠉⠉⠐
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠙⠛⠛⠘⢿⣿⣿⡿⠿⠿⠿⠛⠛⠒⠉⠀⠀⠀⠀⠀⡴⠿⠋⠁⠀⠉⣿⣿⣂⠀⡅⠀⠀⢻⣿⣿⣿⣿⣿⠋⠀⠀⠈⠉⠉⠉⠉⠙⠛⠛⠛⠛⠛⠛⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣀⡤⣴⢻⣿⣷⣦⣴⣶⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣽⣽⣿⣿⠃⠀⠀⠀⠙⣿⣿⣿⣿⡆⠀⠀⠀⠀⢀⣠⣤⣤⣤⣤⣶⣶⣶⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⠟⠙⠀⣉⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠘⢻⣿⣿⣿⣽⠀⠀⠀⠀⠀⠸⣿⣿⣿⣧⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠛⣉⣠⠄⠒⠛⠉⠀⢿⣿⣿⣿⣿⣿⠿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢒⣀⣤⠞⠛⠉⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣿⣿⠁⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣄⢄⠀⢀⠰⡦⣏⣓⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠗⣛⣩⣤⡾⢛⠁⠀⢀⣀⣠⣤⢀⡄⠀⠀⠀⢀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣘⣿⣿⡉⠀⠀⠀⠀⠀⠀⠀⠀⢈⣻⣿⣿⣿⠟⣧⠖⣒⣟⡃⠃⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⢁⣿⣿⣿⣿⠿⠋⠈⢻⡀⠀⣠⠿⠂⢀⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢴⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠛⠉⠁⠀⢏⣄⣳⠸⠇⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣟⣫⡝⠋⠉⠀⠀⠒⠠⣤⣀⣼⣿⣷⣤⣸⡀⠀⠀⠀⠀⠀⠀⠐⢶⣿⣶⣶⣤⣾⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣷⢓⣲⣾⣃⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣁⣀⣀⢀⣀⣄⢰⣀⡏⢇⣀⣁⣙⡉⠄⠀⣀⣀⠀⠀⠀⣀⣀⣛⣻⢟⣻⣿⣿⣿⣛⡷⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢩⣜⡷⢼⡅⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣟⢻⢻⣿⣿⠛⢸⣿⣿⢸⣿⣇⢸⣿⣿⣛⡃⠀⠄⣿⣿⡆⠀⠀⣿⡿⣿⡟⣼⣿⡇⢸⣿⣿⢁⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣞⣿⣶⡛⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⣿⣿⢿⣿⡿⠇⠈⠀⢸⣿⣿⠀⢸⣿⣿⣾⣿⣏⢸⣿⣿⣭⣽⠆⠂⣿⣿⠃⠀⢰⣿⡇⣿⣷⠟⣿⣇⣿⣿⣿⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢜⢳⢧⡷⠆⠀⠀⠀⠀⠀⠀⠀
⢿⣿⣿⣿⣿⣿⠻⣶⣶⣾⣶⣟⡃⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢹⣿⣿⣾⣿⣿⠉⠉⠀⠀⣿⣿⡄⠀⢸⣿⣧⣿⣿⢀⣿⣿⣿⡇⣿⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠞⣻⣷⣾⢳⠀⠀⠀⠀⠀⠀⠀⠀
⠘⣿⣿⣿⣿⣿⣷⠹⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢸⣿⣿⣿⣿⣿⣶⡆⠀⠀⣿⣿⣶⡆⣿⣿⠏⢿⣿⡿⢿⣿⣿⢱⢿⣿⣿⠃⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⢠⡿⠧⢽⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢹⣿⣿⣿⣿⣿⣦⡜⠛⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣷⣶⣴⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⡶⠖⠒⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢿⢛⣗⣺⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡟⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢿⣽⣿⢚⣿⠇⠀⣶⣠⠤⣄⠀⠀⠀
⠀⠛⢻⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⣿⣿⣯⣽⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣯⡟⣿⣷⣿⣿⢰⣟⡛⣿⣶⣿⠀⠀⠀
⣿⣷⡄⠹⠿⣿⠿⠟⠋⠉⠀⠀⠀⠀⠀⠀⣁⠀⠘⠿⣿⣿⣿⠿⠋⠛⠁⠀⠀⠀⠀⠀⠀⠉⠉⠙⠋⠁⠀⠀⠐⠂⠀⠀⠀⠀⠀⢀⣠⡿⠟⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣷⣶⣿⣿⣿
⣿⣿⣿⣶⣦⠰⡀⢀⣄⣀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠄⣸⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢡⡶⠇⠀⢀⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣷⣄⠀⠙⠛⠛⠃⠀⠀⠀⠀⠞⣛⣿⣷⣾⣿⣿⣇⣤⣀⣀⣀⣤⣴⣶⣾⣿⣷⣿⣿⣿⣶⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠘⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⢰⣿⢿⣿⣿⣿⡿⠟⣿
⢿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠠⣭⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⡧⠾⠼⢩⣽⣿⣿⡿⠛⢿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣟⣿⣿⣿⣿⣾⣿
⠀⢻⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⢀⣄⣶⣾⡏⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⢈⣿⣿⣿⣿⣿⣿⡟⣠⣻⣿⠋⢻⠻⠿⣿⣿⣿
⠶⢦⣽⣿⣿⣿⣿⣿⣿⣿⣿⣶⣮⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣠⣤⣤⣼⣿⣿⣿⠿⣿⣿⣿⣿⡿⠃⠐⢿⣾⣦⡀⠀⠉
⠀⢀⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢹⣿⡿⠁⠀⠸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢻⣿⣿⣿⡿⢟⣫⣴⣾⣿⣿⣿⣿⡇⠀⠀⠈⠙⠿⠿⣧⣄
⢰⡞⢿⣟⣭⣽⢿⣿⣿⣿⣿⣿⠈⠉⠁⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢯⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠈⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⣀⣠⠤⠐⣾⣿⣿
⠄⢰⣫⣽⣿⣿⣇⠙⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⢛⣹⣿⣿⣿⣶⣶⣄⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⠟⠛⢵⣶⣿⣿⡿⠿⠚⠛⢻⣿⣿
⠠⠏⠻⣿⣿⣿⣿⡄⠀⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣷⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⣠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠁⠀⠀⠀⠀⠀⢀⣿⣿
⠀⢿⣶⡮⠟⠈⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣴⠾⠋⢀⡀⠀⠀⠀⠀⠀⠀⣿⣿⣆⣀⣠⣤⣤⣤⡤⢤⣤⣤⣶⣾⣿⣿⣿⣻
⣶⣾⣿⣷⣶⠷⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⣷⣦⠀⣼⡇⠀⠀⣠⡄⢀⠀⢀⣸⣟⢢⣶⢫⠿⣿⠿⣿⣿⣽⣻⣿⣉⣩⣭⣭
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⡛⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⡿⣿⣿⠟⠛⠛⠛⠹⢿⣿⣷⠯⣶⣿⣿⠎⠉⡇⠀⠀⣿⣿⣿⣿⣮⣿⣿⣦⣤⣀⣁⣀⡀⠀⠈⠉⠉⠉⠉⠉⠉⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠛⠛⠛⠸⢿⣿⣿⣿⠿⠿⠿⠛⠙⠀⠈⠁⠀⠀⠀⠀⣠⣾⠟⠁⠑⠻⣿⣿⣇⠀⣃⠀⠀⠹⣿⣿⣿⣿⣷⠟⠀⠀⠉⠉⠉⠉⠙⠛⠛⠛⠛⠛⠛⠻⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⢀⣄⣴⢿⣿⣷⣦⣴⣶⣾⣿⠋⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⡴⣿⣿⣿⡏⠀⠀⠀⠙⢿⣿⣿⣿⣇⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⣤⣶⣶⣶⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⠗⠋⠀⢙⣿⣿⣿⣾⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠄⠂⢹⣿⣿⣿⣻⠃⠀⠀⠀⠀⠘⣿⣿⣿⣿⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡿⠛⢋⣡⠀⠖⠛⠉⠈⢿⣿⣿⣿⣿⣿⡿⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⡿⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⣂⣤⠶⠟⠋⠁⠀⠀⠀⠀⠀⠈⠛⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⠇⠀⠀⠀⠀⠀⠀⠈⣽⣿⣿⣿⣆⠂⠀⢀⡀⣶⣯⣛⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠷⢛⣋⣥⡶⢛⠉⠀⠀⢀⣀⣠⢀⡀⠀⠀⠀⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⡟⢳⠢⢒⣒⡊⠈⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣷⣾⣿⣿⣯⣿⣿⢉⣷⣾⣿⣿⠿⠟⠘⢻⠀⠀⢠⠿⠂⢀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠟⠋⠉⠀⠘⣀⣛⡍⡿⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣻⡝⠛⠉⠁⠀⠦⢤⣀⡁⣴⣿⣧⣤⢸⠥⠀⠀⠀⠀⠀⠀⠀⣶⣶⣶⣦⣤⣼⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠿⣓⣒⣓⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣁⣀⣀⢀⣀⣀⢀⣈⡍⣇⣀⣉⣙⡋⣁⠀⣀⣀⠀⠀⠀⣀⣀⣛⣻⢿⣿⣿⣿⣿⣿⡟⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢙⡐⢿⢹⡯⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠹⡟⣿⢻⣿⣿⠛⢸⣿⣿⢸⣿⣇⢸⣿⣿⠛⠃⠀⠀⣿⣿⡇⠀⠀⣿⣿⣿⡏⣼⣿⡇⢸⣿⣿⢁⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⣴⣶⣶⡾⠁⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⣿⣿⢿⣿⣿⡇⠉⠀⢸⣿⣿⠀⢸⣿⣿⣾⣿⣟⢸⣿⣿⣭⣽⠆⠀⣿⣿⡇⠀⢰⣿⡇⣿⣷⠟⣿⣇⣿⣿⣿⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⣳⣮⣿⡄⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⠻⣶⣶⣾⣶⣟⡃⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢹⣿⣿⣾⣿⣿⠉⠉⠀⠀⣿⣿⡆⠀⢸⣿⣧⣿⣿⢀⣿⣿⣿⡇⣿⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢴⢒⣶⣶⠗⠀⠀⠀⠀⠀⠀⠀⠀
⢹⣿⣿⣿⣿⣿⣷⠹⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢸⣿⣿⣿⣿⣿⣶⡆⠀⠀⣿⣿⣶⡆⣿⣿⠏⣿⣿⡿⢿⣿⣿⢱⢿⣿⣿⠃⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⠀⡾⣶⣙⣿⣽⣶⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣿⣿⣿⣿⣿⣿⣦⡜⠛⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣷⣶⣶⣴⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣶⠖⠖⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣷⡖⣲⢽⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠸⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢿⣞⣻⡏⣿⡟⠀⢠⣀⣤⣄⠀⠀⠀
⠀⠛⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣯⣷⣗⣻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣾⣺⣿⣼⢹⢇⡾⠻⣿⣡⣽⡇⠀⠀
⣿⣿⣿⣿⢿⢿⠿⠿⠻⣿⠃⠀⠀⠀⠀⠀⣁⠀⠸⣿⣿⣿⡿⠟⠉⠛⠁⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠁⠀⠀⠀⠆⠀⠀⠀⠀⠀⢀⣠⡿⠟⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⣿⣿⣿⣷⣾⣿⣿⣿
⣿⣿⣿⣿⣷⣴⣦⣴⣿⣿⠀⠀⠀⠀⠀⢀⣀⠀⠀⢀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⢡⡶⠗⠀⠀⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⣹⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠻⠟⠛⠛⠀⠀⠀⠀⠘⢛⣿⣿⣿⣿⣧⣀⣀⡀⠀⣀⣠⣤⣶⣾⣿⣿⣿⣿⣿⣶⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣼⣿⣿⣿⣿⣿⡿⠟⣿
⠈⢿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⣬⣿⢿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⡧⠾⠾⢯⣽⣿⣿⢿⠟⢿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣷⣾⣿
⠀⢘⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⣤⣶⣾⡏⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠈⣿⣿⣿⣿⣿⣿⣏⣴⣿⣿⣿⡿⢿⠿⠿⣿⣿
⠶⣦⣜⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣽⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣤⣤⣤⣾⣿⣿⣿⠿⣿⣿⣿⣿⣿⡟⣿⣿⣾⣆⠀⠀⠉
⠀⣨⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢿⣿⠄⠀⠈⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢿⣿⣿⣿⠿⣛⣭⣶⣿⣿⣿⣿⣿⣿⠀⠉⠉⠛⠿⠿⣦⣄
⣶⡻⢿⣟⣭⣿⠿⣿⣿⣿⣿⣿⣏⠙⠘⠁⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⣀⡀⠀⣶⣿⣿
⠀⣴⣯⣿⣿⣿⣦⡘⢿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡿⡻⣿⣿⣧⣤⣤⠘⣻⣟⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠉⠛⠿⣿⡿⠟⠛⢡⣴⣶⣿⣿⡿⠶⠖⠻⣿⣿
⠰⠟⢿⣿⣿⣿⣿⡇⠀⠙⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣧⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⢀⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠉⠉⠀⠀⠀⠀⠀⣻⣿
⠀⣶⣶⣿⠟⠉⠉⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣤⡶⠋⠀⡀⠀⠀⠀⠀⠀⠀⣺⣿⣇⣀⣀⣤⣤⣤⣴⢤⣤⣤⣤⣶⣾⣿⣿⣻
⣶⣾⣿⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣦⡀⣰⣳⠀⠀⣠⡄⠀⠀⠀⣸⣿⠪⣿⢻⡿⢿⡟⢿⣿⣽⣿⣿⣏⣉⣭⣭
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣆⠸⣿⣿⣿⣿⣿⣷⣴⣶⣿⣿⣿⣿⣿⡿⢿⣿⠿⠛⠛⠛⠩⣿⣿⣿⠿⠾⣿⣿⡇⠉⠛⠀⠀⣿⣿⣿⣿⣮⣿⣿⣷⣤⣀⣀⣀⣈⠀⠀⠉⠉⠉⠉⠉⠉⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠋⠉⠙⠹⣿⣿⣿⣿⡿⠿⠿⠟⠉⠀⠀⠀⠀⠀⠀⠀⢀⣼⠟⠁⠈⢙⢿⣿⣧⠀⡁⠀⠀⠹⣿⣿⣿⣿⣷⡿⠃⠀⠈⠉⠉⠉⠛⠛⠛⠛⠛⠛⠛⠻⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢀⣄⣴⢿⣿⣿⣦⣴⣶⣾⣿⡟⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⣱⡿⣿⣿⣷⡏⠀⠀⠀⠙⢿⣿⣿⣿⣷⠀⠀⠀⠀⠀⣀⣀⣤⣤⣤⣤⣶⣶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠗⠋⠈⢙⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠌⠙⣷⣿⣿⣿⠃⠀⠀⠀⠀⠘⣿⣿⣿⣿⡁⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⢋⣁⠀⠔⠚⠉⠁⢻⣿⣿⣿⣿⣿⣶⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡿⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠂⢀⣠⡴⠞⠋⠁⠀⠀⠀⠀⠀⠈⠛⠟⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠈⣽⣿⣿⣿⣆⠀⠀⠀⡀⣴⣿⢑⠂⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢛⣋⣥⡶⠛⠉⠁⠀⢀⣀⣀⢀⠀⠀⠀⠀⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⡛⠀⠀⠀⠀⠀⠀⠀⠀⢀⣻⣿⣿⣿⡿⢓⡤⢅⣲⡞⠉⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣯⣿⣿⢩⣶⣾⣿⣿⡿⠏⠘⢧⠀⠀⢠⡷⠀⢀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠿⠛⠋⠁⠸⢁⠺⡍⣿⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⡙⠋⠉⠁⠀⠄⣄⡈⠃⣰⣿⣦⣀⢸⠁⠀⠀⠀⠀⠀⠀⠀⢤⣤⣤⣤⣠⣰⣿⣿⣿⣿⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡽⠽⣶⡷⡄⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣟⣁⣀⣀⢀⣀⣀⢀⣈⡟⣆⣈⣉⣙⡛⡁⠀⣀⣀⠀⠀⠀⣀⣈⣙⣻⢿⣟⣻⣿⣿⣿⡗⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢟⡱⢯⢭⣯⠁⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡿⣿⢻⣿⣿⠛⢸⣿⣿⢸⣿⡇⢸⣿⣿⠛⠃⠀⠀⣿⣿⡇⠀⠀⣿⡿⣿⡇⣼⣿⡇⢸⣿⣿⢁⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣨⣭⣭⡼⢵⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⣿⣿⢿⣿⣿⡀⠃⠈⢸⣿⣿⠀⢸⣿⣿⣾⣿⣿⢸⣿⣿⣭⣵⡄⠀⣿⣿⡇⠀⢰⣿⡇⣿⣷⡟⣿⣇⣿⣿⣿⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡛⠿⣭⣿⡄⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⠻⣶⣶⣾⣶⣟⡋⠉⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢹⣿⣿⣼⣿⣿⠉⠉⠀⠀⣿⣿⡇⠀⢸⣿⣧⣿⣿⢀⣿⣿⣿⡇⣿⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⠭⣭⠥⠯⡄⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣷⠹⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢸⣿⣿⣿⣿⣿⣶⡆⠀⠀⣿⣿⣶⡆⣿⣿⠏⢿⣿⡯⢻⣿⣿⢱⢿⣿⣿⠃⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⠀⣼⣾⡺⣿⣽⣶⠁⠀⠀⠀⠀⠀⠀⠀
⠘⣿⣿⣿⣿⣿⣿⣦⡜⠛⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣖⣧⣷⣶⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⣶⣶⣶⡶⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣧⡾⠯⢭⡿⣼⠁⠀⠀⠀⠀⠀⠀⠀
⠀⢻⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⣵⢯⡝⣗⡿⠀⢀⡀⣀⣀⠀⠀⠀
⠀⠛⣿⣿⣿⣿⣿⣿⣿⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣭⣿⣧⣯⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣛⣾⢭⣽⣷⣿⡇⣴⠾⣿⣫⣹⡆⠀⠀
⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⡏⠀⠀⠀⠀⠈⣉⠀⠸⢿⣿⣿⡿⠿⠉⠛⠁⠀⠀⠀⠀⠀⠀⠉⠉⠉⠋⠁⠀⠀⠐⠆⠀⠀⠀⠀⠀⢀⣤⡟⠟⠛⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⣿⣿⣿⣶⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⡇⠀⠀⠀⠀⢀⡀⠀⠀⢈⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠡⡾⠃⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠻⠿⠛⠃⠀⠀⠀⠸⢛⣿⣿⣿⣿⣧⣀⣀⠀⠀⢀⣀⣤⣴⣶⣿⣿⣿⣿⣿⣷⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⢀⣾⣿⣿⣿⣿⣿⡿⠟⣿
⠉⢿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠬⣽⠟⢁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⡷⠾⠶⠇⣼⣿⣿⠿⠟⠻⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣷⣾⣿
⠀⣰⠀⠻⣿⣿⣿⣿⣿⣿⣄⠀⠀⣠⣴⣞⡃⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣠⣷⣻⣟⣿⣟⡿⠿⢿⣿⣿
⠶⣦⣜⣻⣿⣿⣿⣿⣿⣿⣿⣷⣶⣜⣿⣿⠇⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣦⣶⣦⣾⣿⡿⢟⣻⣿⣿⣿⣿⣿⢻⣿⣷⣷⣄⠀⠈⠉
⠀⣼⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣿⡄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠟⣿⣿⣿⣫⣽⣶⣿⣿⣿⣿⣿⣿⡇⠀⠈⠉⠛⢿⢿⣶⣄
⣆⣿⢿⣟⣿⡿⠋⣿⣿⣿⣿⣿⣿⠙⠂⠏⠁⠀⠀⣿⣿⡇⢽⣿⣿⣿⣿⣿⣿⣿⡿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⢀⡀⠀⢴⣾⣿
⢁⣾⣫⣿⣿⣿⣦⡘⢿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠹⣿⣴⣸⣿⣿⡿⣿⣿⣿⣯⣤⣭⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀⠀⠈⠛⠻⠿⠿⠋⠁⢀⣤⣴⣾⣿⣿⡧⠶⠾⣿⣿
⠴⠻⣿⣿⣿⣿⣿⣿⡎⠙⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⣽⣿⡟⢉⣿⣿⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⢀⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠟⠛⠉⠉⠀⠀⠀⠀⢸⣿
⢰⣶⣬⣿⠏⠉⠙⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣠⡶⠟⠁⡀⠀⠀⠀⠀⠀⠀⣻⣿⣷⣀⣄⣤⣤⣤⣤⢶⣦⣤⣶⣦⣼⣾⣿⣿
⣶⣿⣷⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣾⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣦⡀⢰⣿⠀⠀⣠⣄⠀⡀⠀⣸⣿⠳⣿⠟⡿⢿⣿⠿⣿⣿⣿⣿⣿⣍⣭⣭
⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣁⠈⠿⣿⣿⣿⣿⣿⣴⣴⣿⣿⣿⣿⣿⡿⠿⢿⡿⠛⠻⠟⠛⣿⣿⣿⠿⣿⣽⣿⡇⠋⢿⠀⠀⣿⣿⣿⣿⣧⣽⣿⠷⣤⣤⣈⣁⣁⣀⡀⠈⠉⠉⠉⠉⠉⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠉⠻⣿⣿⣿⣿⣿⠿⠿⠟⠉⠀⠀⠀⠀⠀⠀⠀⢀⣴⡟⠉⠉⠻⢿⣿⣧⠀⡌⠀⠀⠸⣿⣿⣿⣿⣿⡟⠃⠀⠀⠉⠉⠉⠉⠉⠛⠛⠛⠛⠛⠛⠻
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⢀⣀⣴⢿⣿⣿⣦⣴⣶⣾⣿⡿⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⣾⣿⣿⣿⣵⡇⠀⠀⠀⠙⢿⣿⣿⣿⣷⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⣤⣶⣶⣶⣾
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠋⠈⢛⣿⣿⣿⣿⣿⣿⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠨⠹⣿⣿⣿⣿⠃⠀⠀⠀⠀⠘⣿⣿⣿⣿⡁⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⢋⣁⠀⠔⠚⠉⠁⢻⣿⣿⣿⣿⣿⣷⡴⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⢿⣿⡟⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠐⣀⣠⡴⠞⠋⠁⠀⠀⠀⠀⠀⠈⠛⠟⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣆⢂⠀⢀⡀⣴⣯⢓⠂⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠝⢛⣋⣥⡶⡛⠉⠁⠀⠀⣀⣀⢀⡀⠀⠀⠀⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⣹⣿⣿⣿⡿⢳⠦⢒⣲⡞⠉⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣾⣿⣿⣿⣿⣾⢹⣶⣾⣿⣿⡿⠏⠘⢷⠀⠀⢠⣶⠄⢀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠿⠋⠉⠁⠸⢀⡻⡍⣿⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣛⠻⠛⠉⠁⠠⡄⣄⡈⠀⣰⣿⣦⣀⢸⡅⠀⠀⠀⠀⠀⠀⠠⣤⣶⣦⣴⣤⣦⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⡽⠹⣷⡷⡄⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣟⣁⣀⣀⢀⣀⣀⢀⣘⡛⣆⣈⣉⣛⡛⡁⠀⣀⣀⠀⠀⠀⣀⣈⣛⣻⢟⣛⣻⣿⣿⣛⡗⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣙⡸⢯⢹⣯⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡘⢻⣿⣿⠛⢸⣿⣿⢸⣿⣧⢸⣿⣿⠛⠃⠀⠀⣿⣿⡇⠀⠀⣿⡿⣿⡏⣼⣿⡇⢸⣿⣿⢁⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⡬⣭⣭⠼⠕⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⡿⣿⣿⣿⠈⠃⠁⢸⣿⣿⠀⢸⣿⣿⣾⣿⡯⢸⣿⣿⣬⣴⡶⠂⣿⣿⡇⠀⢰⣿⡇⣿⣷⡟⣿⣇⣿⣿⣿⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡛⢯⣭⣿⡄⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⠻⣶⣶⣾⣶⣟⡃⠉⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢹⣿⣿⣼⣿⣿⠉⠉⠀⠀⣿⣿⡇⠀⢸⣿⣧⣿⣿⠀⣿⣿⣿⡇⣿⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⢯⠭⠭⡧⠄⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣷⠹⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢸⣿⣿⣿⣿⣿⣶⡆⠀⠀⣿⣿⣶⡆⣿⣿⠏⢿⣿⡿⢿⣿⣿⢓⢿⣿⣿⠇⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⠀⣷⣇⠿⣿⣿⣶⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣦⡼⠛⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣚⣶⣗⣲⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⣾⣶⣶⣶⠺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⡯⠭⣭⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀
⠸⣿⣿⣿⣿⣿⣿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣾⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣬⠼⣯⡟⣷⡏⠀⢀⠀⣀⡀⠀⠀⠀
⠀⢻⣿⣿⣿⣿⣿⣿⣿⡛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣭⣟⣧⡯⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣿⣿⣟⣸⣿⡇⣤⢾⣿⣋⣻⡆⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⢈⡄⠀⠿⣿⣿⣿⠿⠋⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⣠⡾⢏⣃⠀⠀⠸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⣀⠀⠀⢀⣸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠐⠟⠉⠀⠀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠒⠀⠀⠀⠙⣿⣿⣿⣿⣿⣆⣀⡀⠀⠀⣀⣤⣤⣶⣾⣾⣿⣿⣿⣿⣿⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣦⢀⡙⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣦⣿⣿⣿⣿⣿⣿⡿⠟⣿
⢹⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⢠⣴⣿⣧⣿⣿⠀⣽⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠋⠇⠾⠻⠿⠛⠋⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿
⢠⡇⠘⣿⣿⣿⣿⣿⣿⣧⡀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⠇⢿⣟⣿⡿⡿⢿⣿⣿⣿
⢶⣤⣛⣿⣿⣿⣿⣿⣿⣿⣿⣤⠙⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣷⣾⣷⣾⣿⣿⣿⣿⣿⣿⣯⣶⣿⣿⣿⣿⣷⣄⠀⠉⠉
⢠⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⢿⣿⣿⣿⣿⡿⢟⣫⣵⣿⣿⣿⡏⠈⠙⠛⠿⢿⣷⣤⡀
⣿⡿⣿⣛⣛⡿⣿⣿⣿⣿⣿⣿⠉⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠉⠟⠻⢴⣾⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⣠⣴⣶
⣡⢞⣿⣿⣿⣷⣜⣿⣿⣿⣿⡟⠀⠀⠀⠉⠛⢿⣿⣿⣿⡟⠛⠻⣿⣿⢻⣿⣍⣠⣠⣬⠹⡟⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⣿⡿⠟⢁⣠⣤⣶⣾⣯⣡⣼⣿⣿
⠻⣿⣿⣿⣿⣿⣿⣿⠛⠿⠟⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⠀⠀⠀⣸⣧⣰⣿⣿⣿⣿⣿⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⢀⣴⠏⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠈⣿⠿⠟⠛⠉⠉⠀⠀⠸⣿
⣴⣬⣿⣿⠉⠉⢻⣭⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡏⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣠⡶⠟⠁⡀⠀⠀⠀⠀⠀⠀⠽⢿⣷⡦⣰⣶⣶⣶⣿⣧⣴⣶⣾⣷⣶⠶⣾⣿
⣼⣿⣷⣶⣦⣶⣾⣿⣷⣶⣶⣶⣶⣶⣶⣴⣤⣦⣾⣿⣿⣶⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣦⣄⡰⣷⠄⠀⢰⣶⣠⣄⡀⢴⣿⣄⠛⠉⠛⠻⠻⣿⡛⠿⠿⣿⣿⣶⣶⣿
⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⡩⠩⠿⣿⣿⣿⣿⣯⣤⣤⣾⣾⣿⣿⣿⠋⠻⢿⡿⠛⠻⠟⠛⣿⣿⣿⣿⢽⣿⣿⣿⠉⢹⠀⠀⢻⣿⣿⣿⣿⣾⣿⡟⠛⠷⠶⠶⣶⣤⣤⣤⣤⣤⣤⣤⣠⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠻⣿⣿⣿⣿⠿⠿⠟⠋⢁⡀⠄⠀⠀⠀⠀⠀⢀⣴⠟⠁⠉⣯⣿⣿⣿⡄⡈⠀⠀⠈⣿⣿⣿⣿⣿⣏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⣉⣉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⢀⣠⣤⣾⢿⣷⣿⣶⣶⡶⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⡀⣼⡩⣿⣿⣿⡇⠀⠀⠀⠀⢻⣿⣿⣿⣿⡄⠀⠀⠀⠀⠰⣶⠶⢶⣶⣾⣿⠿⠿⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⠇⠁⠈⣉⣿⣿⣿⣷⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠙⢋⢼⣿⣿⡟⠁⠀⠀⠀⠀⠈⣻⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠟⣉⣠⠀⠖⠋⠉⠀⢻⣿⣿⣿⣿⣿⣦⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡟⣿⠃⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣄⡀⠀⠀⠀⣀⣤⣀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢂⣡⡤⠶⠛⠉⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡲⠟⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣧⡄⠠⠊⣇⡧⡭⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡯⠟⢛⣩⣴⢞⠋⠁⠀⠀⢀⣀⡄⢀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣹⣿⣿⠿⠉⣶⠀⡭⢭⡅⠄⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣶⣿⣿⣿⣿⣿⡏⣷⣶⣾⣿⣿⠿⠃⠘⣇⠀⠀⣠⡷⠀⢀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⢀⡇⠤⠿⢻⡟⠃⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣛⠟⠛⠉⠀⢠⠄⣀⠈⠀⣴⣿⣦⣀⢞⠅⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⡀⠀⠀⠃⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⢫⣭⣿⡹⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣟⣀⣀⣀⢀⣀⣀⢀⣘⡻⣆⣉⣉⣛⡛⡀⠀⣀⣀⠀⠀⠀⣀⣈⣛⡻⢛⣻⡣⢖⣀⣂⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣥⣽⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡘⢻⣿⣿⠛⢸⣿⣿⢹⣿⡇⢸⣿⣿⠛⠃⠀⡀⣿⣿⡇⠀⠀⣿⡿⣿⡇⢸⣿⡇⢸⣿⣿⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⢛⣿⣿⡛⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⡿⣿⣿⡇⠘⠈⠁⢸⣿⣿⠀⢸⣿⣿⣾⣿⡷⢸⣿⣿⣬⣴⡔⠄⣿⣿⡇⠀⢰⣿⡇⣿⣷⠟⣿⣇⣿⣿⣿⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡬⣭⣙⣷⣾⣷⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⠹⣶⣶⣾⣶⣟⡋⠁⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⣹⣿⣿⣼⣿⣿⠉⠉⠀⠀⣿⣿⡇⠀⢸⣿⣧⣿⣿⠀⣿⣿⣿⡇⣿⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣷⣖⣖⣂⡿⡊⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣷⠹⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢸⣿⣿⣿⣿⣿⣶⡆⠀⠀⣿⣿⣶⡆⣿⣿⠏⣿⣿⡇⢿⣿⣿⠃⢿⣿⣿⠃⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⣼⢾⣞⣻⣿⣷⡇⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣦⡜⠛⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡞⣦⣗⣲⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⣶⠒⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣶⡾⠿⣼⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣷⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣽⣟⢿⡝⣿⣿⠀⢀⡀⢀⣀⠀⠀⠀⠀
⢿⣿⣿⣿⣿⣿⣿⣿⡛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡿⣷⣿⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣾⣿⣽⣿⢷⡏⣠⠶⢿⣏⣽⣷⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⢠⡤⠘⢿⣿⣿⡟⠟⠉⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⣠⡾⣋⣁⠀⠀⠸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢀⠀⠀⢂⣼⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠁⠀⠠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡟⠿⠿⠛⠂⢀⣐⠀⠀⠈⣿⣿⠿⣿⣿⡆⣀⡀⠀⢀⣀⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡶⢀⡙⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣨⣿⣿⣿⣿⣿⣿⠟⣻
⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⣸⣿⣿⣦⣰⢟⣏⣀⣽⣥⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠛⠛⠉⠇⠿⠛⠿⠋⠃⠈⢿⣿⣿⣿⣿⣿⣿⣀⢹⣿⣿⣿⣿⣿⣷⣶⣾
⢈⣻⣿⣿⣿⣿⣿⣿⣦⡀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⠿⢸⣿⡿⠻⣿⢿⣿⣿⣿
⢤⣽⣿⣿⣿⣿⣿⣿⣿⣿⣄⣘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣯⣼⣿⣿⣿⣶⣿⣍⠈⠉⠙
⣼⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⢻⣿⣿⣿⣿⡿⠿⣋⣽⣿⣿⣿⣿⡟⠉⠙⠿⠿⣦⣀⠀
⣿⡿⣟⣟⣿⣿⣿⣿⣿⣿⣿⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⣰⡏⠀⠀⠈⠛⠛⢶⣶⣿⣿⣿⣿⣿⡿⠀⠁⠀⠀⠀⠀⢀⣠⣴
⣱⢟⣽⣿⣿⣏⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⠉⠛⠿⣿⡿⢿⣿⣇⣀⣠⣮⠙⠿⣟⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⣠⡟⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⠟⠁⠀⣀⣤⣴⣆⣃⣽⣿⣿
⢿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠀⠀⣰⣿⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⢀⣄⡀⠀⠀⠈⠀⢰⣾⣿⣿⠿⠛⠋⠉⠉⠙⣿
⣦⣹⣿⡟⠉⠉⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⡾⠋⠀⣰⡄⠀⠀⠀⠀⠀⠼⠿⣷⡶⣰⣾⣶⣿⣿⣿⣷⣶⣿⣿⣶⡶⠶⠿
⣭⣭⣥⣥⣴⣶⣿⣷⣶⣶⣶⣶⣶⣶⣦⣤⣤⣤⣼⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣦⢠⣹⡇⠀⢠⣶⣄⣤⣀⢠⣿⣧⡙⠋⠋⠭⠿⠿⠝⠛⠿⠿⠿⠷⠾⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡩⠭⠹⠻⢿⣿⣿⣿⣧⣤⣤⣿⣿⣿⣿⡿⠛⠛⢿⡿⠛⠛⠟⠉⣿⣿⡿⢿⣟⣽⣿⣿⡏⢹⠀⠀⠸⣿⣿⣿⣿⣯⣿⡏⠙⠛⠻⠶⠶⠶⠶⠦⢤⣤⣤⣤⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠻⣿⣿⣿⣿⠿⠿⠟⠉⢀⣠⠄⠀⠀⠀⠀⠀⠀⣴⠟⠁⢈⣫⣻⣿⣿⣥⣈⠀⠀⠀⠻⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢀⣠⣤⣾⢿⣷⣾⣷⣶⣶⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⡆⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢹⣿⣿⣿⣿⡆⠀⠀⠀⠀⠰⠿⠿⠿⠿⠿⠿⠿⠿⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⠇⠁⠈⣉⣿⣿⣿⣷⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠨⠛⠹⠿⣿⣿⡟⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠟⣁⣨⠀⠖⠋⠁⠀⢻⣿⣿⣿⣿⣿⣶⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡛⣿⠃⠀⠀⠀⠀⠀⠀⠛⣻⣿⣿⣿⣦⣄⠀⠀⠀⣀⣴⢦⡀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⢂⣠⡤⠶⠛⠉⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡗⠋⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⠆⠐⣂⣛⣻⠴⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠟⢛⣩⣴⢞⠋⠁⠀⠀⢀⣀⣀⢀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣌⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣼⣿⠿⠟⠃⡿⠀⣖⠲⣦⡀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⣶⣿⣿⣿⣿⡇⣷⣶⣾⣿⣿⡟⠃⠘⣇⠀⠀⣰⡷⠀⢀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⢠⡇⠲⢿⢃⣟⠃⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢞⣛⠟⠛⠋⠁⢠⠄⣀⠈⠀⣴⣿⣂⣀⣾⠅⠀⠀⠀⠀⠀⠀⠠⢤⣤⣤⣤⣄⠀⠀⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⢩⠭⢯⡽⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣱⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⢟⣃⣀⣀⣀⢀⣃⣀⢈⣘⡳⣆⣉⣉⣛⡛⡀⠀⣀⣀⠀⠀⠀⣀⣈⣛⡻⢛⣟⣳⢖⣂⣀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠶⣭⡿⣼⠅⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠘⢻⣿⣿⠛⢸⣿⣿⢹⣿⣇⢹⣿⣿⠛⠃⠀⡀⣿⣿⡆⠀⠀⣿⡿⣿⡇⣸⣿⡇⢸⣿⣿⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣫⠿⣿⡛⡄⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⢿⣿⡇⠻⠈⠁⢸⣿⣿⠀⢸⣿⣿⣾⣿⡏⢸⣿⣿⣬⣴⡖⠄⣿⣿⡇⠀⢰⣿⡇⣿⣷⠟⣿⣇⣿⣿⣿⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠼⣝⣻⣾⣷⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⠹⣶⣶⣿⣶⣟⡛⠈⠁⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⣹⣿⣷⣼⣿⣿⠉⠉⠀⠀⣿⣿⡇⠀⢸⣿⣧⣿⣿⠀⣿⣿⣿⡇⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣷⣟⣷⣒⡟⠚⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣷⠹⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢸⣿⣿⣿⣿⣿⣶⡆⠀⠀⣿⣿⣶⡆⣿⣿⠏⢿⣿⡏⢿⣿⣿⠁⢿⣿⣿⠃⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⢸⢾⣾⣻⣿⣷⡇⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣦⡘⠛⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡼⣆⣯⣖⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣶⣖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣾⣲⠿⢾⢿⠃⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢫⣿⣿⣷⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣽⣟⡿⡯⣿⣿⠀⢀⡄⢀⣀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⡛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡟⣿⢿⣿⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣌⣾⣿⣽⣯⢧⡟⣰⠶⢿⣏⣍⣷⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⣠⡤⠘⢿⣿⣿⡿⠿⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⣰⠟⣫⣅⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡿⠟⢻⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠁⠀⠠⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣷⡄⠈⠉⠛⠛⠂⠀⠀⠀⠀⠀⠀⣿⣿⣻⣿⣿⢀⣀⣀⡀⣀⣠⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⡶⢀⡙⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⣸⣿⣿⣿⣿⣿⠟⣻
⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⢠⣽⣿⣿⣿⣿⣦⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠉⠇⠛⠛⠟⠋⠃⠈⢿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣷⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⢠⣿⣿⢻⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠈⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⡀⠈⠉⠙
⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢦⡆⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠏⠻⣿⣿⣿⣿⡿⠿⣛⣥⣾⣿⣿⣿⣿⠛⠛⠿⠿⣤⣀⡀
⣿⢿⣿⣻⣿⣿⣿⣿⣿⣿⠀⠀⠀⡀⠀⠀⠀⠈⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠀⠀⠉⠛⠻⢷⣶⣿⣿⣿⣿⣿⣿⡿⠛⠀⠀⠀⠀⢀⣀⣤
⡷⣫⣿⣿⣿⣹⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡿⢿⣿⣿⠟⢿⣿⣅⣄⣠⡝⢻⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⣠⡟⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⡿⠟⠀⠀⣀⣤⣤⠚⣹⣿⣿
⣿⣿⣿⣿⣿⣿⡟⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣼⣿⣿⣤⣼⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⣀⡼⠋⠀⠀⠀⠀⠀⠀⢀⣠⡀⠀⠀⠀⠉⠀⣴⣶⣿⣿⠿⠛⠋⠉⠙⣻
⣬⣻⣿⡟⠉⠹⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⡾⠋⠀⢰⡄⠀⠀⠀⠀⠀⠼⠿⣷⣶⣤⣶⣶⣶⣿⣿⣿⣷⣶⣾⣶⣶⠶⠿
⣿⣯⣭⣤⣴⣶⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣦⠰⣻⡇⠀⢀⣶⣆⣤⣀⢠⣿⣧⡚⠋⠘⠩⠿⠿⣿⠛⠿⠿⠿⠿⠾⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⠟⠻⠻⣿⣿⣿⣿⣯⣤⣤⣿⣿⣿⣿⡿⠋⠩⠻⡿⠛⠻⠟⠙⣿⣿⣿⢿⣟⣿⣿⣿⣿⢹⠁⠀⠸⣿⣿⣿⣿⣿⣿⣿⠙⠛⠷⠶⠶⠶⠦⠤⠤⣤⣤⣤⣤⣬
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠈⢻⣿⣿⣿⣿⠿⠿⠟⢋⢀⣠⠀⠀⠀⠀⠀⠀⠀⣴⠟⠁⠘⢿⣻⣿⣿⣇⡈⠀⠀⠀⢻⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⣀⣤⣾⣿⣿⣿⣷⣶⣶⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠈⠀⠀⢀⣶⣿⣽⣿⣿⣿⡏⠀⠀⠀⠀⢹⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠶⠿⠿⠿⠿⠿⠿⠿⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⠇⠀⠈⣙⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠻⣽⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⢹⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠻⢉⣠⠀⠖⠛⠉⠀⢿⣿⣿⣿⣿⣿⣶⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣟⣿⠃⠀⠀⠀⠀⠀⠀⠙⣻⣿⣿⣿⣿⣦⠀⠀⠀⣀⢰⢦⡀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠛⣀⣤⠶⠟⠋⠁⠀⠀⠀⠀⠀⠘⠛⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠟⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣿⣿⣿⣿⡦⠐⣂⣘⣸⠴⠆⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⣉⣤⠶⠛⠉⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣸⣿⡿⠿⠃⣾⠸⣴⠺⣯⠰⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣶⣾⣿⣿⣷⠘⣦⣴⣶⣾⡿⠿⠃⠘⡆⠀⠀⣠⣦⠀⠀⡄⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⣟⠰⠭⠟⣿⡟⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡾⢻⠟⠋⠉⠀⣀⠀⠀⠁⠀⣰⣿⣅⠀⣞⠃⠀⠀⠀⠀⠀⠀⠀⢴⣶⣤⣤⡀⠀⠘⠏⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠋⠬⢿⣏⠇⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢞⣀⣀⣀⣀⢘⣀⣀⢉⣱⣲⣍⣙⣛⣳⡟⠀⠀⣀⣀⠀⠀⠀⣀⣈⣛⣻⢿⣿⣢⢔⣒⣒⠂⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⢽⣭⣿⢸⡯⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⠘⢻⣿⣿⠛⢸⣿⣿⢻⣿⡏⢻⣿⣿⠛⠃⠀⠀⣿⣿⡇⠀⠀⣿⡿⣿⡏⢸⣿⡇⢸⣿⣿⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣟⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⠈⠇⠙⠀⢸⣿⣿⠀⢸⣿⣿⣾⣿⡏⢸⣿⣿⣤⣤⠀⠁⣿⣿⡇⠀⢰⣿⡇⣿⣷⡟⣿⣇⣿⣿⣿⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣭⣝⣻⣯⣿⡆⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⠹⣶⣶⣿⣶⣟⡋⠛⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢽⣿⣷⣸⣿⣿⠉⠙⠀⠀⣿⣿⡇⠀⢸⣿⣧⣿⣿⠀⣿⣿⣿⡇⣿⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣶⣶⣪⡼⠿⠁⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣷⠹⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢹⣿⣿⣿⣿⣿⣶⡆⠀⠀⣿⣿⣶⡆⣿⣿⠏⢿⣿⡇⢻⣿⣿⠁⢿⣿⣿⠃⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⢸⣿⣟⣿⣯⣿⣬⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣦⡜⠛⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣲⣬⣟⣶⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⣶⡆⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣶⢿⣭⣭⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣿⣿⣯⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣧⣿⢿⣿⢻⣾⡇⠀⣀⠀⣀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣟⡛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡛⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⢹⣿⣿⣟⡿⣿⢀⣤⣿⡾⣉⣿⡄⠀⠀
⣿⣿⣿⣿⠿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠸⡿⠿⣿⣿⠛⠏⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⢠⡾⢛⣭⡀⠀⠀⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡉⠀⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢀⠀⣀⣼⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠉⠀⠀⢴⣻⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⣹⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣆⠀⠉⠋⠛⠀⠀⠀⠀⠀⠀⢐⣿⣿⣿⣷⡆⠀⡀⠀⣀⣀⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⡆⣀⢻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣰⣿⣿⣿⣿⣿⡿⠻
⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠙⠛⠋⠹⠙⠛⠛⠛⠙⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⠀⢹⣿⣿⣿⣿⣿⣷⣾
⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⢋⣀⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠁⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠉⠉
⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠐⡶⢶⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠻⣿⣿⣿⣿⡿⢛⣯⣴⣿⣿⣿⣿⣿⡏⠉⠙⠿⠷⣤⠀
⡿⣿⣛⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠂⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠈⠻⠿⢷⣾⣿⣿⣿⣿⣿⣿⣿⠉⠃⠀⠀⠀⠀⣠⣤
⣟⣽⣿⣿⡟⢿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⠿⢿⣿⡏⢀⢀⣈⠹⣟⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⢿⣿⣿⠟⠁⢀⣠⣤⣶⣆⣉⣿⣿
⣿⣿⣿⣿⣇⠈⠛⠿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣄⣸⣿⣿⣾⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⣠⡾⠃⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠉⠀⢰⣾⣿⣿⠿⠛⠉⠉⠈⠙
⣻⣿⡟⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡾⠋⠀⣰⡄⠀⠀⠀⠀⠀⢀⣿⣿⣤⡤⣤⣤⣤⣾⣿⣯⣤⣶⣤⣦⣤⣤⣴
⣯⣭⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣤⣤⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣷⢤⢿⡗⠀⠀⣤⡄⣀⡀⢀⣼⣯⠹⠿⢿⣿⢿⣿⣿⠿⣷⣿⣿⣿⣧⣼
⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢛⠛⠛⠛⢻⣿⣿⣿⣟⢉⣉⣽⣷⣿⣿⣿⠛⠛⠙⢿⠟⠿⡿⠟⣿⣿⣿⣿⣿⡿⣿⣿⣿⡗⢜⠃⠀⢸⣿⣿⣿⣿⣶⣿⣿⠷⠦⣤⣤⣤⣬⣅⣀⣀⣀⣀⣉⣉⣁
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⡿⠋⢁⣀⡀⠀⠀⠀⠀⠀⠀⢉⣿⠛⠁⠿⢿⣿⣿⣿⡗⠸⠀⠀⠀⣿⣿⣿⣿⣿⣿⠛⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠛⠛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⢀⡠⣿⣿⣿⣯⣥⣶⣶⣾⣿⠋⠀⠀⠀⠀⠀⠀⠀⠋⠁⠀⢠⣟⣿⣿⣿⣿⣷⡆⠀⠀⠀⠈⢹⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⣠⣤⣤⣤⣤⣴⣶⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⠃⡍⠻⢿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠩⢫⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⡟⠋⣉⢀⡤⠖⠋⢻⣿⣿⣿⣿⣿⣆⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠍⢻⣿⡟⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⣧⣄⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡭⠻⠉⣀⣤⠶⠛⠉⠀⠀⠀⠀⠘⢿⡿⠿⠿⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣊⣿⠁⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⣆⠀⣀⢰⣞⡏⡓⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⠿⢛⣡⡴⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⣿⣿⣿⣿⢻⡆⡔⢒⣶⠋⠃⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣓⣋⣥⣶⣾⣿⡥⢦⣀⣠⣤⣴⣶⡶⠂⢦⠀⠀⠀⣠⡃⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⠿⠛⠉⠉⢸⠇⠹⢯⢹⣧⡅⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣾⣿⠿⠛⠋⠁⠀⠀⠸⠀⠀⣰⣟⠃⠂⣼⠁⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⢀⠔⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣺⣬⠭⢯⣼⢇⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⢒⣁⣀⣀⣀⢂⣃⣐⢦⣄⡘⢿⣻⣶⣦⡷⠀⠀⣀⣀⠀⠀⠀⣈⣛⣻⣿⢿⣓⣰⢀⣀⣀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡧⣬⡝⣿⠟⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣿⠋⠘⢻⣿⣿⠛⢸⣿⣿⣼⣿⣿⢸⣿⣿⠛⠃⠀⠀⣿⣿⡇⠀⠀⣿⡿⣿⡏⢸⣿⡇⢸⣿⣿⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣻⣛⣚⣃⡿⠇⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⣿⣿⣿⡏⢿⠹⡆⠀⢸⣿⣿⠀⢸⣿⣿⣾⣿⡇⢸⣿⣿⣤⡄⠀⠀⣿⣿⡇⠀⢰⣿⡇⣿⣷⡞⣿⣇⣿⣿⣿⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⡿⣼⣻⢿⣿⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⠹⣶⣶⣾⣶⣟⡻⠇⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⣽⣿⣿⣼⣿⣿⠉⠁⠀⠀⣿⣿⡇⠀⢸⣿⣧⣿⣿⠀⣿⣿⣿⡇⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣗⢷⡮⠿⣾⣿⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣷⠹⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⣻⣿⣿⣿⣿⣿⣶⡆⠀⠀⣿⣿⣶⡆⣿⣿⠏⢿⣿⡇⢿⣿⣿⠁⢿⣿⣿⠃⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⠀⣸⣿⣿⣯⢭⡏⡁⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣷⡜⠛⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣾⣿⡷⣾⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⡿⣿⣽⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⣻⣿⣯⢇⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣟⣓⣻⣹⠁⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⠃⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⡏⡿⣿⠀⠀⣆⣠⣤⡄⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⢻⠟⠛⡿⠿⠋⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⣠⡾⣋⣅⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠛⠉⠀⠀⣾⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣏⠉⠋⠁⠀⠀⠀⠀⠀⠀⢘⣿⣿⣷⣆⠀⠀⠀⠀⠀⣀⣠⣤⣶⣶⣾⣿⣿⣿⣿⣶⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⢀⡘⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣠⠸⣿⣿⣿⣿⣿⣿⠟
⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠉⢠⣿⣿⣿⣷⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠛⠛⠋⠛⠹⠛⠻⠋⠋⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣽⡄⣿⣿⣿⣿⣿⣿⣿
⠈⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣸⣿⠛⣿⣿⣿⣿
⣤⣾⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⣴⣿⣶⣿⣿⣿⣿⠿⣛⣽⣿⣿⣿⠿⠿⣿⣿⣧⡀⠀⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠄⣴⣦⠀⠀⠀⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⢿⣿⣿⣿⡟⣋⣴⣾⣿⣿⣿⣿⣿⡇⠀⠀⠈⠻⠿⠦⠄
⢿⣟⣛⣻⣿⣿⣿⣿⣿⣿⡇⠑⠈⠸⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠁⠀⠈⠉⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⣠⣤
⣻⣿⣿⣿⣏⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⠉⠁⠀⠛⢿⣿⡿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⡿⠟⠋⠀⣀⣠⣴⣶⣏⣉⣽⣿
⣿⣿⣿⣿⣿⡟⠻⢿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⡏⠈⣿⣿⣤⣶⣶⣧⣴⣼⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⣠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡿⠿⠛⠉⠉⠀⠉
⣿⣿⡟⠋⠙⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣤⠾⠋⠀⣶⠀⠀⠀⠀⠀⠀⠀⣿⣿⣧⣄⣠⣤⣤⣤⣿⣞⣠⣤⣤⣤⣤⣤⣤
⣭⣭⣤⣤⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣤⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣶⣀⣄⣽⠆⠀⠀⣤⡀⢀⠈⠀⣸⣿⠸⡿⣿⣿⢿⣿⡻⢿⣿⣿⣿⣿⣯⣭
⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡛⠛⠛⠛⢿⣿⣿⣿⡟⠋⠛⣿⣼⣿⣿⣿⠟⠻⢿⣿⡿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡌⢿⡄⠀⢸⣿⣿⣿⣿⣦⢿⣿⡷⣦⣤⣍⣁⣉⣉⡁⠀⠈⠉⠉⠉⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⡿⠛⠀⠀⠀⠀⠁⠀⠀⠀⠀⢻⡿⠟⠿⣿⣿⣿⣿⣿⣷⢸⠁⠀⠀⣿⣿⣿⣿⣿⣿⠟⠃⠀⠀⠉⠉⠉⠉⠙⠛⠛⠛⠛⠛⠛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⢀⢨⣿⣿⣿⣟⣋⣥⣶⣶⣾⠋⠀⠀⠀⠀⠀⠀⠰⠋⠁⠀⣰⣿⣿⣿⣿⣿⣇⡘⠀⠀⠀⠘⢹⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⢀⣀⣀⣠⣠⣤⣤⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣴⣾⣿⠈⠙⢿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠈⠛⠛⠋⠛⠛⠛⠛⠋
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠟⠛⠃⢈⣤⠶⠻⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⡛⢿⣻⣿⡿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣛⠋⠉⣁⣬⠶⠛⠁⠉⠀⠀⠀⢻⣿⣿⣿⣿⠿⠟⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠃⠀⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⡄⠀⠀⠀⡤⣿⠶⠄⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⠿⢋⣠⣤⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⡿⣆⣈⢥⣯⡽⠛⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⢗⣋⣭⣴⣾⡟⡡⣀⢀⣀⣀⣤⣤⡦⠀⣄⠀⠀⠀⣀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣼⡿⠿⠛⠀⡿⠈⣖⡒⣶⡐⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢃⣿⣿⡿⠿⠛⠁⠀⠀⠸⠀⠀⣰⡿⠃⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⢰⡇⣓⢲⣃⣿⠇⠀⠀⠀⠀⠀
⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣫⢙⣃⣀⣀⣀⢐⣆⣠⢄⣀⡸⢿⣿⣶⣌⡄⠀⠀⣀⣀⠀⠀⠀⣈⣛⣿⣷⢶⣂⡀⢈⣀⣀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⢡⡸⢿⡷⠃⠀⠀⠀⠀⠀
⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⠛⠘⢻⣿⣿⠛⢸⣿⣿⢸⣿⣷⢸⣿⣿⠛⠃⠀⠀⣿⣿⡇⠀⠀⣿⡿⣿⡟⢸⣿⡇⢸⣿⣿⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⡷⢭⠿⢼⠷⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⣿⣿⣿⠻⡟⣷⠀⠀⢸⣿⣿⠀⢸⣿⣿⣾⣿⡇⢸⣿⣿⣤⡄⠀⠀⣿⣿⡇⠀⢰⣿⡇⣿⣷⡜⣿⣇⣿⣿⣿⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢫⡿⣿⣟⡆⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⠹⣶⣶⣾⣶⣟⣻⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢹⣿⣇⣹⣿⣿⢩⠁⠀⠀⣿⣿⡇⠀⢸⣿⣧⣿⣿⠀⣿⣿⣿⡇⣿⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⢬⣝⣻⣷⣿⠂⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣷⡹⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢿⣿⣿⣻⣿⣿⣶⡆⠀⠀⣿⣿⣶⡆⣿⣿⠏⣿⣿⡇⢿⣿⣿⠃⢿⣿⣿⠇⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⠀⢀⣷⣶⣖⣒⡺⠻⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣷⠘⠛⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⢻⣾⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣶⣶⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢿⣟⣻⣯⣿⣦⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣽⣛⡙⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣶⢿⣯⣽⣿⡏⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⡿⠃⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣾⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢿⣟⢿⣿⣻⣿⡇⠀⣀⠀⢀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⢻⠟⢛⡛⠛⠛⠙⠂⠀⠀⠀⠀⠀⠀⠉⠉⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠇⠀⠀⠠⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠅⠤⠜⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣠⠀⠀⠀⠀⠀⠀⠀⠀⢐⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠡⡾⠛⠀⠀⣠⢄⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣴⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡏⠉⠁⠀⠀⠀⠀⠀⠀⠲⢏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣤⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⢀⣿⣿⣿⣿⣿⣿
⢹⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠱⣾⣷⣄⣤⣄⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⣿⠴⠷⠮⠠⡽⣿⡿⠿⠋⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣈⣿⣿⣿⣿⣿⣿
⠀⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⡀⠀⠀⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣟⣿⡟⡿⣿⣿
⣙⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⢀⣤⣤⣴⣿⣿⣿⣿⣿⡿⣋⣽⣿⣿⣿⣿⣿⣿⣿⣇⡀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠏⠹⣿⣿⣿⣿⣿⡿⣟⣵⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠿⢻⢦
⣿⣿⢿⢿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠘⠄⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡏⠀⠀⠘⠛⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⠀⣀⣤
⣽⣿⣿⡄⢻⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⠿⣿⣿⣿⠿⠋⢀⣠⣤⣶⣾⣉⣡⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⡛⣿⣿⠀⠀⢀⡈⠛⠹⣋⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⣠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠰⣾⣿⣿⠿⠟⠛⠉⠀⠈
⣿⡿⠿⠻⣿⠛⠙⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣧⣼⣧⣠⣿⣿⣶⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⣀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣆⡀⠀⢀⣀⢀⣩⡡⣄⣀⣀⣀⣀⣀⣀
⣛⣃⣀⣀⣿⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⣠⣼⣿⣿⣷⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⡏⠀⢀⣼⣷⠀⠀⠀⠀⠀⠀⠐⠚⠛⣿⠫⣥⣿⣿⣿⣿⣷⣾⣿⣛⣿⣿⣟⡛
⣿⣛⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣷⣎⢹⣿⡀⠀⢰⣿⣧⣴⣦⣄⢺⣿⣧⣉⠉⠋⠛⠛⠷⠬⠍⠛⠛⠛⠻⠟
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠙⠿⢿⣿⣅⢀⣴⣶⣾⣿⣽⠃⠀⠀⠙⠿⠛⠛⠟⠋⣿⣿⣿⠛⠻⣿⣿⣿⣿⣿⡡⠙⠁⠀⠀⣿⣿⣿⣿⣿⣮⣿⡏⠙⠛⠛⠛⠷⠶⠶⠶⠶⠶⠶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠸⣿⣿⣾⣿⠿⠛⢉⣀⣠⡤⠀⠀⠀⠀⠀⠠⠀⣠⡿⠃⠀⠈⣿⣿⣿⣿⣿⡇⢘⠀⠀⠀⠸⢿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣤⣶⡇⠿⢿⣿⣶⡿⠿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣯⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠾⠿⠿⠿⠿⠿⠿⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣽⡿⠿⠁⢃⣀⡽⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⡻⢿⡿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣛⠛⠉⣀⣤⠶⠐⠉⠁⠀⢹⣿⣿⣿⣿⣷⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠍⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣴⡀⠀⠀⠀⠀⡀⣤⡀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⡿⠋⢉⣡⡴⠖⠛⠉⠀⠀⠀⠀⠀⠀⠈⠛⠋⠛⠛⠛⠋⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡒⢻⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣄⠀⠤⠨⠏⣇⣭⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠕⢛⣋⣡⣶⠟⡋⠁⠀⠀⢀⣀⣀⡀⢀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣿⣿⣿⣟⢹⣆⢊⣩⣿⡃⡂⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣶⣽⣶⣾⣿⣻⣿⣿⡇⢸⣶⡾⣿⠿⠛⠉⠀⠈⡀⠀⠀⣠⡷⡠⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠟⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠉⠁⠀⢸⢃⣘⣲⢺⣧⠆⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠛⢋⣈⣀⣀⣀⢤⣀⣀⢀⣀⣾⣷⣦⣄⣜⡃⠀⠀⣀⣀⠀⠀⠀⣀⣀⣀⣀⢀⣀⡀⢀⣀⣀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡶⢒⣳⣾⣳⠀⠀⠀⠀⠀
⣿⣿⡟⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⠲⠀⠘⢻⣿⣿⠻⢸⣿⣿⢸⣿⡏⢹⣿⣿⠛⠃⠀⠀⣿⣿⡇⠀⠀⣿⡿⣿⡟⣼⣿⡇⢸⣿⣿⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣧⡧⠿⡍⣿⡛⠀⠀⠀⠀⠀
⣿⣿⣷⣿⣿⣿⣿⡿⠿⢿⣿⣿⠏⡎⣿⠀⠀⠀⢸⣿⣿⠈⢿⣿⣿⣾⣿⣇⢸⣿⣿⣤⡄⠀⠀⣿⣿⡇⠀⢰⣿⡇⣿⣷⠚⣿⣇⣿⣿⣿⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣨⢭⣿⣧⣿⡁⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⠻⣶⣶⣿⣶⣟⣃⠑⠈⠁⠀⠀⢸⣿⣿⠀⢸⣿⣿⢹⣿⣷⢸⣿⣿⠉⠁⠀⠀⣿⣿⡇⠀⢸⣿⣿⣿⣿⠀⣿⣿⣿⡇⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⡟⣾⣿⣻⣎⠃⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣷⡹⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⣺⣿⣿⣾⣿⣿⣶⡆⠀⠀⣿⣿⣷⡆⣿⣿⠯⣿⣿⡇⢿⣿⣿⠃⢿⣿⣿⠇⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⠀⠀⢀⣇⣓⣒⣿⣿⣻⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣷⠘⠛⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣿⣷⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣶⣦⠀⠀⠐⠀⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣻⣳⣶⠿⣏⡉⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⣿⡿⣟⣿⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣆⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣻⠾⢽⢿⣿⡇⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⠿⠃⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣾⣿⣿⣾⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢛⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣯⣽⣛⣻⣸⡇⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡅⠀⠀⠀⠀⠀⢀⣿⠛⡛⠛⠿⠟⠙⠂⠀⠀⠀⠀⠈⠉⠛⠻⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠿⠙⠉⠁⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠠⠤⢸⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢡⡾⠆⠀⠀⣠⠬⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣼⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡏⠉⠈⠀⠀⠀⠀⠀⠀⠐⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣠⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⡀⠘⠱⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡆⢈⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣦⣀⣀⣀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣟⣴⡆⣏⢉⣿⣿⣿⣿⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠘⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠁⠀⠀⠉⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣦⡽⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⣀⣀⣰⣿⣿⣿⣿⣿⣿⣿⠿⣛⣿⣿⣿⣿⣿⣿⣿⣇⡀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠏⢺⣿⣿⣿⣿⣿⣿⣿⡿⢛⣥⣿⣿⣿⣿⣿⣿⣿⠏⠻⠿⣧
⣿⡟⢿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠐⠆⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡏⠀⠀⠙⠿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀⠀⣀
⣿⣿⣇⠹⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⣿⣿⣿⣿⠟⢋⣠⣤⣶⣆⣋⣽
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⢿⣿⡏⠀⠀⠀⠸⠟⠿⢋⣩⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⣠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠛⠋⢿⣿⣿⣿⠿⠛⠋⠉⠉
⣿⠿⠿⢿⠿⠛⠻⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡟⠀⢳⣈⣸⣿⣧⣴⣶⣾⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⢀⣴⠋⠀⡀⠀⠀⠀⠀⠀⠀⠀⠠⣤⣆⡀⠀⠀⠀⠀⠘⡉⠄⠀⠀⠀⠀⠀⠀
⣗⣀⣀⣸⣿⣦⣤⣤⣄⣤⣤⣤⣤⣄⣀⣀⣠⣿⣿⣷⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣴⠟⠁⢀⣴⣧⠀⠀⠀⠀⠀⠀⠠⠔⠛⣿⡗⣂⣲⡿⣾⣿⣿⣴⣾⡿⣿⣿⣛⠻
⣻⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣷⣤⠘⢻⣿⡀⠀⢠⣾⣦⣤⣤⡀⢶⣿⣇⠉⠛⠟⠿⠿⠿⢍⠛⠿⠿⠿⠿⠷
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡄⠀⠈⠻⣿⣿⡿⠛⠛⣛⣃⣿⣿⡿⠛⠉⠛⢿⣿⡿⣿⡿⢿⣿⣿⣿⢿⢿⣿⣿⣿⣿⣷⠀⠛⠁⠀⠈⣿⣿⣿⣿⣿⣜⣿⡏⠛⠷⠶⠶⣶⣤⣤⣤⣤⣤⣤⣤⣬
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⢿⣿⣶⣴⣿⣿⣿⠟⠉⢀⡀⠀⠀⠀⠀⠀⠀⠈⢹⣿⠏⠀⢘⣿⣿⣿⣿⣿⡏⢰⠀⠀⠀⢹⣿⣿⣿⣿⣿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣀⣠⣶⡞⣿⣿⣿⣿⣷⣶⣶⣾⡟⠁⠀⠀⠀⠀⠀⠀⠐⠉⠀⠀⣠⣿⣿⣿⣿⣿⣿⣷⣾⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⣤⣶⣶⣶⣶⣶⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣽⣿⡟⠁⠀⣙⣿⣿⣶⣶⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⡻⡿⢿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⠛⠋⢉⣠⠤⠐⠋⠉⠈⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣻⣇⡀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠐⠒⣉⣥⠶⠟⠋⠀⠀⠀⠀⠀⠀⠹⢿⠟⠻⠿⠿⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣾⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠼⣿⣿⣿⣿⣿⣆⠀⢀⡀⡖⣯⢙⠂⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡵⠿⢛⣩⣴⠾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡹⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡙⣿⣿⣿⣿⠟⣇⡭⠴⡷⠿⠙⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣽⣭⣴⣶⡿⣿⣿⣷⡎⣶⣤⣶⣶⡿⠏⠋⠀⠓⠀⠀⠀⣰⣤⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠷⡽⠟⠛⠉⠀⡏⠃⣯⡝⣷⡀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⢿⢉⣁⣉⣀⣀⢀⣀⣀⢀⣀⣴⣿⣁⣁⣘⡃⠀⠀⣀⣀⠀⠀⠀⣀⣀⣀⡀⢀⣀⡀⢀⣂⣑⡀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⣟⢻⣡⡧⡇⠀⠀⠀⠀
⣿⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⡖⠀⠘⢻⣿⣿⠟⢸⣿⣿⢾⣿⡟⢻⣿⣿⠿⠃⠀⠀⣿⣿⡇⠀⠀⣿⡿⣿⡟⣼⣿⡇⢸⣿⣿⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣰⣒⢻⡶⠇⠀⠀⠀⠀
⣿⣿⣼⣿⣿⣿⣿⡿⠿⠿⢿⣿⢯⢺⡇⠀⠀⠀⢸⣿⣿⠸⣼⣿⣿⣿⣿⡇⢸⣿⣿⣤⡄⠀⠀⣿⣿⡇⠀⢰⣿⡇⣿⣷⠟⣿⣇⣿⣿⣿⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏⣷⣾⡿⣸⠷⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⠻⣶⣶⣿⣶⣟⡋⠈⠛⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢽⣿⣯⢸⣿⣿⠉⠁⠀⠀⣿⣿⡇⠀⢸⣿⣷⣿⣿⠀⣿⣿⣿⡇⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢿⣩⡿⢿⣭⠆⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣷⡹⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢼⣿⣿⣼⣿⣿⣶⡆⠀⠀⣿⣿⣶⡆⣿⣿⢯⣿⣿⡗⢻⣿⣿⢳⢿⣿⣿⠇⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⠀⠀⠀⡄⠴⠬⣿⣷⣿⡇⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣷⠘⠛⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⢷⣖⣧⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣶⣶⣶⣖⠀⠠⠌⣤⠲⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣷⣏⣿⣒⣺⠻⠇⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣟⣿⡾⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣯⠀⠀⠠⠈⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢿⣟⣛⣿⣿⣾⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⠿⠃⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⣿⣷⣿⣷⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⣢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣶⣾⠯⣽⡏⣿⠀⠀⠀⠀⠀⠀
⣿⣿⢿⣿⣿⣿⡯⠀⠀⠀⠀⠀⠀⠘⣿⠛⠛⠛⠙⠉⠀⠉⠀⠀⠀⠉⠛⠻⠿⠿⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣝⠛⠒⠃⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢻⣿⣿⣿⣿
⣿⣿⡞⢿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠟⣉⣴⠄⠀⠀⢉⣉⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢀⣴⣿⣿⣿⣿
⣿⣿⣿⡄⠙⠛⠉⠋⠀⠀⠀⠀⢀⡀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠰⢫⣴⣻⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡎⣽⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⢸⣟⣠⣤⣤⣄⡀⠀⠀⠀⢀⣀⣀⣤⣴⣶⣶⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⡗⣠⡄⣛⡛⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⢿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣾⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠋⠉⠀⠃⠈⠉⠉⠁⠁⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣡⢸⣿⠿⡿⠟⢿
⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡇⢀⣿⣤⡄
⣿⣿⣿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡇⣶⣿⣿⣿⣿⣿⣿⣿⡿⠟⣫⣴⣿⣿⣿⣿⣿⡇⠘⠛⠻⢷
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠄⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠈⠹⢿⣿⣿⣿⣿⣭⣶⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠄⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀⠀⠉⠈⠛⠿⣿⣿⣿⣿⣿⣿⣿⡿⢋⣠⣤⣶⣶⢉⣠
⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⣿⣿⣿⡿⣿⣿⡟⠉⠉⠙⣿⣿⡿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⢠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠿⠿⠟⢹⣿⣿⣿⠿⠟⠛⠉⠉
⣿⣿⠿⣿⠿⢿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⠋⠹⡥⠃⣿⣿⡂⣤⣤⣤⣀⣀⣥⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⣠⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⠀⠀⠀⠀⠀⠀⠋⠁⠀⠀⠀⠀⠀⠀
⣇⣀⣀⣿⣶⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⢀⣼⣿⣿⣆⠀⣽⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣠⡾⠋⠀⣠⣇⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⡷⡄⢠⣶⣶⣶⣿⣯⣴⣶⣶⣶⡶⢾
⠿⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⣰⣿⣿⠀⠀⠀⣤⣄⣠⣄⠀⣠⣿⣇⠹⠻⢷⢿⣿⣿⣝⠿⠷⣿⣽⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣀⠀⠀⠹⣿⣿⣿⣿⠿⠿⠿⠋⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣜⣻⡇⠀⠀⣿⣿⣿⣿⣷⡜⠿⡿⠷⢶⣤⣤⣤⣄⣀⣁⣀⣀⣀⣀⣈
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠈⢸⡿⣷⣄⣴⣿⣿⣿⡿⠛⠀⠀⠀⠘⠛⠉⠙⠁⠸⢿⣿⠟⠃⠾⣿⣿⣿⣿⣿⡴⢰⠀⠀⠀⢹⣿⣿⣿⣿⣿⡞⠋⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⣀⣤⣿⣿⣿⣿⣿⣯⣭⣤⣤⣶⠆⠀⠀⠀⠀⠀⠁⠰⠯⠉⠀⠐⣜⣿⣿⣿⣿⣿⣧⣬⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣤⣤⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣿⡟⠠⠉⠻⣿⣿⣽⣯⣻⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠉⣈⡀⠠⠖⠋⢹⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡯⠽⠉⢒⣡⡤⠶⠛⠉⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣧⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣶⣼⣿⡟⠀⠀⠀⠀⠀⠀⠀⠈⢹⣿⣿⣿⣿⣷⡄⠀⠀⠀⣠⢸⠳⠄⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣿⡿⠟⢋⣡⡴⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣚⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⡻⣿⣿⣿⣿⣿⠆⢐⣃⣸⣸⠷⠆⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣟⢟⣋⣭⣤⣶⣾⣿⣧⠐⣄⣠⣤⣤⡶⠄⠐⠀⢆⠀⠀⠀⢠⣁⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⣺⣿⠿⠟⠂⣿⠾⣰⠲⢦⡄⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⡟⢛⣉⣃⣀⣀⢀⣀⣀⢀⣀⣰⣟⣉⣂⣰⡃⠀⠀⣀⣀⠀⠀⠀⣀⣀⣀⡀⢀⣀⡀⢀⣘⣛⠟⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⣟⠲⠬⠿⢺⠸⠀⠀⠀⠀
⣿⣿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⠁⠀⠘⢻⣿⣿⡟⣸⣿⣿⣼⣿⡿⢿⣿⣿⡿⠃⠀⠀⣿⣿⡇⠀⠀⣿⣿⣿⡗⣼⣿⡇⢸⣿⣿⢁⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠏⡭⢽⣯⡞⠀⠀⠀⠀
⣿⣿⣼⣿⣿⣿⣿⡿⠿⢿⣿⣿⢟⣾⠇⠀⠀⠀⢸⣿⣿⢠⢸⣿⣿⣾⣿⡇⢸⣿⣿⣤⡄⠀⠀⣿⣿⡇⠀⢰⣿⡇⣿⣷⡟⣿⣇⣿⣿⣿⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢽⣜⣻⣿⣯⠅⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⠻⣶⣶⣿⣶⣟⡛⠘⠧⠀⠀⠀⢸⣿⣿⠈⢹⣿⣿⣽⣿⡗⢸⣿⣿⠉⠁⠀⠀⣿⣿⡇⠀⢸⣿⣧⣿⣿⠀⣿⣿⣿⡇⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⡞⣶⣶⣾⢧⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣷⡹⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⣹⣿⣿⢸⣿⣿⣶⡆⠀⠀⣿⣿⣷⡆⣿⣿⢯⣿⣿⣿⢿⣿⣿⢻⢿⣿⣿⠇⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⠀⠀⠀⢈⢉⡛⠿⣿⣿⣿⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣷⠘⠛⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⣖⣺⡷⣞⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣶⣶⣶⣶⣶⣶⣿⣶⣶⣖⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣬⢭⠭⣭⣿⡿⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢻⣿⣿⣻⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣧⣯⢿⣿⣻⣦⡅⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⠿⠃⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣿⣽⣿⡿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣏⣟⣛⣻⣿⢿⡇⠀⠀⠀⠀⠀
⠛⠛⣿⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⢸⣿⡿⠿⠿⠃⠉⠁⠈⠛⠟⠻⠿⢿⣿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡸⠷⠤⠄⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠁⠀⠀⠸⣿⣿
⠀⠀⠘⢿⣿⡏⢀⠀⠀⠀⠀⠀⠀⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠛⣩⡀⠀⠀⠛⠚⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢀⣠⣿⣿
⣄⠀⠀⠀⠁⠀⠈⠁⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⠀⠀⠀⣞⣹⢻⣿⣯⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠐⠛⣿⣿
⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣤⣤⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⢀⡀⠻⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠘⢿
⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣦⣤⣤⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠘⠁⠻⠐⠛⠛⠛⠙⠁⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣦⡄⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢠⣶⡖⢾⣿⣿⣿⣿⠿⢛⣥⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠻⣿⠇⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠏⠈⢻⣿⡞⢿⣿⣯⣴⣾⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠹⠄⠀⠀⠀⠈⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⠈⠃⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⡿⠋⢀⣠⣤⣴⣶⣈
⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⢠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⠿⠛⠉⢸⣿⣿⣿⠿⠟⠛⠉
⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣟⣿⣿⠻⣿⣿⠁⠀⠀⠀⠻⠛⠛⢉⣭⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⢠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀
⠀⠀⢸⣤⡈⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⢹⣷⣄⣿⣿⣤⣴⣶⣷⣦⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⢀⣴⠟⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⢉⣿⣶⣀⠀⠠⢖⣤⣤⣀⢀⣠⣤⣴⣶⣾
⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣟⠁⢀⣼⣿⡀⠀⠀⢀⡀⠀⠀⠀⠈⣹⡿⠁⣐⣾⣽⣿⣿⠿⣿⣿⣭⣿⣿⣍
⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣮⣅⠀⠈⠹⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣷⣞⣸⢿⡇⠀⠀⣿⣿⣾⣿⣦⡈⣿⣿⣤⣀⡀⠀⠀⠙⠑⠀⠉⠙⠛⠛⠛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠘⠿⣿⣿⣿⠋⠉⣉⣡⣼⣿⣿⠛⠉⠈⠙⠻⡟⠛⡿⡛⣿⣿⣿⡿⠗⣿⣿⣿⣿⣿⣮⠌⠃⠀⠀⢻⣿⣿⣿⣿⣷⣬⡤⠈⠉⠙⠛⠛⠛⠳⠶⠶⠶⠶⠶⠶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⣸⣿⣿⣿⣶⣿⣿⠝⠛⠉⢀⣀⠀⠄⠀⠀⠀⠚⠛⠉⠟⠋⠀⠀⣽⣿⣿⣿⣿⣿⣠⠀⠀⠀⠘⢿⢿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣶⣿⡇⠘⠿⣿⣿⣷⣾⠷⣿⣾⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢘⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠶⠿⠿⠿⠿⠿⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣭⡶⠟⠋⠀⢀⣤⠾⣿⣿⣶⣿⣶⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⢛⠉⠉⣀⣠⡴⠞⠂⠀⠀⠀⠸⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣛⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⣿⣿⣽⠟⠁⣀⣤⠶⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠻⢿⢿⠟⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣷⣿⡀⠀⣀⢀⡆⣇⣙⠀⠀⠀
⣿⣿⣿⣿⣿⣿⡿⠟⠩⠀⢉⣩⣤⣶⠋⣉⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣭⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣻⣿⣟⡟⢛⡀⠄⢒⡲⠏⠉⠀⠀⠀
⣿⣿⣿⣿⣿⣷⣶⣶⣾⣿⣿⣿⣿⣿⡟⢸⡆⢊⣀⣀⣀⣀⢀⣀⣀⢀⣀⣠⣼⣆⣀⣀⡂⠀⠀⣀⣀⡀⠀⠀⣀⣀⣀⡀⢀⣀⡀⢀⣀⣙⡟⣃⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⠿⠋⠋⠀⢸⠃⠸⢯⡍⣿⡁⠀⠀⠀
⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠵⠋⠀⠘⢻⣿⣿⢻⢸⣿⣿⢸⣿⣿⣿⣿⣿⡟⠃⠀⠀⣿⣿⡇⠀⠄⣿⣿⣿⡇⢸⣿⡇⢸⣿⣿⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣨⣟⣻⣬⣷⡇⠀⠀⠀
⣿⡏⣾⣿⣿⣿⣿⡿⠿⢿⣿⣿⠟⣿⠀⠀⠀⠀⢸⣿⣿⡐⣾⣿⣿⣿⣿⡏⢹⣿⣿⣥⡄⠀⠀⣿⣿⡇⠀⢸⣿⡇⣿⣷⡟⣿⣇⣿⣿⣿⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⡏⣲⣚⢻⡞⠃⠀⠀⠀
⣿⣿⣿⣿⣿⣿⡻⣶⣶⣿⣶⣟⡃⣯⠀⠀⠀⠀⢸⣿⣿⠳⢸⣿⣿⢹⣿⡇⢸⣿⣿⠉⠁⠀⠀⣿⣿⡇⠀⢸⣿⣧⣿⣿⠀⣿⣿⣿⡇⣿⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠷⠯⠿⣽⠛⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣷⡹⣿⣿⣿⣿⠁⠘⠃⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢿⣿⣇⢸⣿⣿⣶⡆⠀⠀⣿⣿⣷⡆⣿⣿⢯⣿⣿⣶⢿⣿⣿⢳⢿⣿⣿⠇⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⠀⠀⠀⠀⣼⣿⣹⠿⢿⣏⠖⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣧⠘⠿⠃⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣒⣷⢰⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣶⣶⣶⣶⣶⣶⣿⣶⣶⣶⣰⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢤⣙⣻⣿⣿⡇⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢫⡿⣻⣿⣾⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢴⣖⣒⣲⡾⢿⠇⠀⠀⠀⠀
⣿⣿⣿⣿⣿⡿⠃⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⣿⣿⣿⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣾⣜⢿⣯⣿⣾⠀⠀⠀⠀⠀
⠛⠛⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡿⠋⠛⠃⠚⠿⠿⠿⣿⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣴⠿⠦⠄⠐⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⢻⣿
⠀⠀⠙⢿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⣩⣅⠀⠀⠘⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡦⠀⠀⠀⣸⣿
⣆⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⡀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠋⠁⠀⠀⣴⣋⠿⣿⣿⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠈⠉⠻
⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣤⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⠄⣀⠙⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈
⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣶⣦⣀⣀⣀⣀⣠⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠊⠉⠻⠏⠚⠛⠛⠋⠋⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣡⡄⠀⠀⠀⠀
⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⢀⡴⠃
⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡧⣴⢶⣶⣿⣿⣿⣿⡿⠟⣫⣵⣿⣿⣿⣿⣿⣿⡶⠈⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⣶⡾⠀⠀⠁⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠛⡆⢹⣿⣿⣟⣥⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠈⠳⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢋⣀⣤⣤⣶⣖
⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⣿⣿⣿⡋⠁⣿⣿⣿⡿⠿⠛⠛
⣿⣿⣿⡿⢿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⢻⡟⣿⣿⡎⠀⠀⠀⠀⠿⣿⠟⢛⣉⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠋⠀⠈⠁⠀⠀⠀⠀⠀
⠀⠁⢻⡄⠈⠻⢿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⡁⢿⣿⣧⣴⣶⣶⣦⣀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⠀⠀⢀⣼⠋⢀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣻⣦⠀⠀⠀⠀⠀⣀⡀⠀⢀⣀⣤⣤⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣧⣾⡟⠁⢰⣿⡄⠀⠀⢀⠀⠀⠀⠀⠈⠉⣿⠉⡀⢴⢺⣿⣿⡿⣾⣿⣛⣿⢯⣭
⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⡉⢉⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣚⠈⢿⡇⠀⠀⣾⣿⣴⣿⣦⡀⣛⣿⣄⡀⠈⠉⠁⠙⠃⠈⠙⠛⠛⠿⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠻⣿⣿⣿⣿⡟⠛⠛⢛⣸⣿⡿⡿⠛⠉⠙⠛⣿⠛⢻⣿⢛⣿⣿⣿⠇⠾⣿⣿⣿⣿⣖⠀⡃⠀⠀⢹⣿⣿⣿⣿⣷⣈⣉⡉⠛⠛⠷⠶⠶⠶⣦⣤⣤⣤⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⢸⢿⣿⣷⣶⣾⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠈⠿⠟⠙⠟⠁⠀⢀⣿⣿⣿⣿⣿⣀⡇⠀⠀⠈⢿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣾⡻⠾⡿⣿⣿⣿⣭⣶⣶⡶⣴⣷⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣯⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠘⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⢠⣶⣶⣶⣶⣶⣾
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⣻⣥⠿⠋⠀⠀⣀⣽⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠝⠻⢿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠻⣿⣿⣧⣭⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠛⠋⢉⣀⣤⠶⠐⠈⠁⠀⠸⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣋⣽⣿⠏⠀⠀⠀⠀⠀⠀⠀⢹⡿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⡿⠀⢉⣠⡴⠞⠛⠉⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⠿⠿⠿⠖⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣽⡿⠀⠀⠀⠀⠀⠀⠀⠀⠈⣸⣿⣿⣯⣷⢰⡄⠀⠀⠀⣤⢸⠱⠀⠀⠀
⣿⣿⣿⣿⣿⣽⣿⢟⡫⠘⠛⣋⣡⣴⠚⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣬⡹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠻⠿⣿⡿⠷⠟⡀⠈⠥⢭⣼⠛⠀⠀⠀
⣿⣿⣿⣿⣿⣯⣤⣤⣶⣾⣿⣿⣿⣿⡆⢳⡄⢂⣀⣀⣀⣀⢀⣀⣀⢀⣀⣀⣰⣄⣀⣀⡃⠀⠀⣀⣀⠀⠀⠀⣀⣀⣀⡀⢀⣀⡀⢀⣀⣈⡽⣁⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣻⡟⠛⠁⠀⡟⠆⣖⡛⣶⠐⠀⠀⠀
⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡤⠞⠀⠘⢻⣿⣿⣛⢸⣿⣿⢸⣿⣿⣾⣿⣿⠛⠃⠀⠀⣿⣿⡇⠀⠀⣿⣿⣿⡇⢸⣿⡇⢸⣿⣿⢁⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡗⣶⢾⣇⣿⠘⠀⠀⠀
⣿⠇⣾⣿⣿⣿⣿⡿⠿⢿⣿⡿⣾⡏⠀⠀⠀⠀⢸⣿⣿⠨⣾⣿⣿⣾⣿⡟⢻⣿⣿⣧⡄⠀⠀⣿⣿⡇⠀⢸⣿⡇⣿⣷⡞⣿⣇⣿⣿⣿⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢩⠬⢽⣧⡇⠀⠀⠀
⣿⣾⣿⣿⣿⣿⡻⣷⣶⣿⣶⣟⣻⡇⠀⠀⠀⠀⢸⣿⣿⢦⢹⣿⣿⢹⣿⡇⢸⣿⣿⠉⠁⠀⠀⣿⣿⡇⠀⢸⣿⣧⣿⣿⠀⣿⣿⣿⡇⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢯⣝⣿⢸⡿⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣷⡹⣿⣿⣿⣿⠁⠻⠀⠀⠀⠀⢸⣿⣿⠈⢸⣿⣿⣾⣿⡇⢸⣿⣿⣶⡆⠀⠀⣿⣿⣷⡆⣿⣿⢯⣿⣿⣷⣿⣿⣿⢳⢿⣿⣿⠇⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⠀⠀⠀⠀⢰⣷⣗⣶⣶⣚⢱⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣷⢼⣿⠳⠍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡶⣗⢠⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣶⣶⣾⣷⣶⣶⣿⣶⣶⣆⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢘⡘⢷⣮⣿⡬⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢟⣯⣿⣾⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣬⠭⢭⣭⣿⡗⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⠃⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣽⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⡷⣿⣟⣿⣾⠃⠀⠀⠀⠀
⡉⢻⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢙⣻⣼⡿⣿⡿⠋⠋⠋⠛⠿⠿⠿⠿⠿⣿⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢿⠛⠓⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀
⣿⣎⢻⣿⡿⠀⠀⠀⠀⠀⠀⠀⠠⣾⠿⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⢁⣴⠆⠀⠀⢀⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀
⣿⣿⣦⠉⠁⠀⠁⠀⠀⠀⠀⠀⠠⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⣾⣼⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀
⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣴⣦⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⢂⡄⣉⣉⣻⣿⣿⣿⡿⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠂⣧⣼⣿
⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⣶⠄⣀⣀⣀⠀⢀⣠⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠈⠃⠀⠉⠈⠉⠃⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢏⣠⣀⠀⠈⠁
⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⣀⣀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢧⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠈⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣾⣿⣿⣿⣿⣿⡿⢟⣫⣽⣿⣿⣿⣿⣿⣷⣾⡇⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⣴⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠛⡆⠈⢿⣿⣿⣩⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠁⠀⠀
⣏⡙⢻⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠘⣄⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⢀⣠⣤⣴
⣿⣷⣤⣽⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠁⠀⠀⠀⠀⠀⠉⠉⠙⢿⣿⣿⡿⠟⠋⠁⢾⣿⣿⣿⠿⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⢿⣿⣿⣿⡏⠀⠀⠀⠈⠿⠿⠟⢋⣩⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀
⠙⠛⢿⣋⡁⠈⠛⣿⡿⠍⠀⠀⠀⠀⠀⠀⠀⠀⣠⣹⣿⣿⠿⠀⢿⣿⣿⣤⣶⣶⣤⣤⣀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⣠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣃⣴⡾⠋⢰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠂⢰⠆⠀⢀⡤⢶⣾⠟⣢⣶⡾⠟⣻⣟
⣴⣷⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣭⣭⣝⠋⠩⠉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣷⣿⣇⡸⣃⠀⠀⢰⣿⣆⣴⣦⡀⠐⢺⣇⠀⠀⠀⠋⠉⠀⠈⠙⠻⠿⠶⢿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⠀⠀⢻⣿⣿⣿⣿⣿⡿⠿⠛⠛⢁⣿⡿⠿⠋⠉⠉⠛⢻⠉⠛⠿⠿⢛⣿⣿⡿⠷⣾⣿⣿⣷⡄⠉⠀⠀⠸⣿⣿⣿⣿⣷⡀⠊⠉⠻⠶⠦⣤⣤⣤⣄⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠛⡃⠉⢿⣿⣷⣀⣠⣾⣿⣿⣿⠁⠀⠀⠀⠀⠀⠈⠀⠘⠾⠊⠉⠁⠀⠀⣻⣿⣿⣿⣗⠃⠀⠀⠀⢻⣿⣿⣿⣿⣷⡉⠁⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣠⠄⣶⣤⣌⣿⣿⣿⣿⣗⣫⣭⣤⡲⢖⢠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠙⢿⣿⣿⣿⡳⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⣫⡿⠃⠃⠈⠉⣉⣻⣿⣿⣟⢻⣽⣿⣷⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠏⠗⡿⢾⣿⣿⠇⠀⠀⠀⠀⠀⠘⣿⣿⣿⠑⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠷⠟⠋⠁⣀⡀⠄⠒⠛⠉⠙⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣻⣿⠀⠀⠀⠀⠀⠀⠀⠘⠿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⣿⡧⠀⠀⢀⣠⡴⠖⠛⠉⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⢿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠉⣼⣿⠷⣻⡄⡀⠀⠀⠀⠀⡀⡶⣄⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡿⠟⠽⠿⠟⢋⣠⡶⠚⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠛⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣧⣼⡄⠀⠒⢐⣃⡷⠶⠀⠀
⣿⣿⣿⣿⣿⣛⢉⣀⣠⣤⣶⢾⣿⣧⠜⣄⠀⢀⣀⣀⣀⣀⢀⣀⣀⢀⣀⡀⢀⣁⣀⣀⡄⠀⠀⣀⣀⠀⠀⠀⣀⣀⣀⡀⢀⣀⡀⢀⣀⣀⠐⣂⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡿⢛⡭⠁⢰⣆⢀⡭⣭⡁⠄⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣀⠞⠀⠘⢻⣿⣿⠛⢸⣿⣿⢸⣿⣿⣺⣿⣿⢿⠃⠀⠀⣿⣿⡇⠀⠀⣿⡿⣿⡇⢸⣿⡇⢸⣿⣿⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠋⠀⠀⠀⢸⢠⣌⣳⢦⡇⠄⠀⠀
⣿⢣⣿⣿⣿⣿⣿⣿⠿⣿⣿⣟⣽⡟⠁⠀⠀⠀⢸⣿⣿⢳⣸⣿⣿⣾⣿⣿⣾⣿⣿⣤⡀⠀⠀⣿⣿⡇⠀⢺⣿⡇⣿⣷⡜⣿⣇⣿⣿⣿⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡴⢒⣲⣶⢣⠄⠀⠀
⣇⣼⣿⣟⣿⣿⡻⣷⣶⣾⣶⣟⣻⠃⠀⠀⠀⠀⢸⣿⣿⡸⢸⣿⣿⢹⣿⡇⢸⣿⣿⠉⠁⠀⠀⣿⣿⡇⠀⢸⣿⣧⣿⣿⠀⣿⣿⣿⡇⣿⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢇⡇⠿⡭⣽⣟⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣷⠹⣿⣿⣿⣿⠹⣆⠀⠀⠀⠀⢸⣿⣿⢻⢸⣿⣿⣼⣿⡇⢸⣿⣿⣶⡆⠀⠀⣿⣿⣷⡆⣿⣿⢯⣿⣿⡇⣿⣿⣿⢳⢿⣿⣿⠇⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⠀⠀⠀⠀⠀⣨⣨⣿⣟⣣⣽⠉⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣷⣼⣿⣧⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⡂⣶⡗⠐⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣶⣶⣾⣷⣶⣶⣿⣶⣤⣄⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⡿⣾⣛⣳⣦⠇⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⠿⠹⠻⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣟⣿⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠆⠿⢻⣿⡃⠀⠀⠀
⣿⣿⣿⣿⣿⣿⠃⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢸⣯⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢸⢫⣭⣭⣟⢻⠀⠀⠀⠀
⡍⢉⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠈⣉⣰⣿⣿⣿⠿⠋⠛⠉⠛⠿⠟⠻⠿⠿⢿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡍⠍⠉⠉⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⠀
⣿⣯⠻⣿⡟⠄⠀⠀⠀⠀⠀⠀⠀⣼⡿⠏⠛⠓⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⣴⠿⠀⠀⠀⣤⣾⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀
⣿⣿⣧⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⡾⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀
⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣤⣤⣶⣶⣶⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣯⠴⠂⢤⠄⠹⠿⠿⢿⡟⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢄⣦⣶
⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣶⠆⢀⣀⣀⡀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⣩⡈⠈⠉
⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠈⠹⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣠⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⣿⣿⣿⣿⣿⣿⠿⣛⣽⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⢠⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠙⣿⣿⡿⣋⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀
⣏⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠈⢧⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⢋⣁⣤⣤
⣿⣷⣤⣹⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠶⠛⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⢀⣿⠁⠀⠀⠀⠈⠉⠉⠛⣿⣿⣿⡿⠟⠋⠁⠐⣿⣿⣿⡿⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠟⣿⣿⣿⣷⡄⠀⠀⠀⠀⠟⠛⠋⣉⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠁⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀
⠉⠛⢿⣋⡁⠈⢻⣿⣿⡻⠁⠀⠀⠀⠀⠀⠀⠀⡴⣿⣿⣿⢿⡀⠀⣿⣿⣷⣤⣶⣶⣦⣤⣄⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣡⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡦⠀⠀⣀⠴⣦⡔⢂⣴⣶⠿⢛⣿
⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣭⣝⠋⠭⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢿⣿⣷⠆⠐⠀⠀⢠⣾⣦⣠⣦⡀⠀⠾⣧⡀⠀⠀⠚⠋⠁⠀⠙⠻⠿⠷⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⠀⠀⠸⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⢀⣿⡟⠛⠉⠀⠀⠀⠉⠁⠀⠙⠋⠋⣽⡿⠏⠀⢾⣿⣿⡁⠈⠀⠀⠘⣿⣿⣿⣿⣿⣆⠐⠉⠛⠶⢦⣤⣤⣤⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠙⠏⠈⡙⣿⣿⣧⠀⢠⡴⣭⣯⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠂⠀⠀⠀⠀⠹⢿⣿⣷⡂⠀⠀⠀⢹⣿⣿⣿⣿⣿⡆⠉⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢀⣀⢠⣶⣦⣤⣹⣿⣿⡿⢿⣇⣫⣤⣤⠢⢀⣠⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣵⣾⣿⣿⣿⠀⠀⠀⠀⠉⢿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣠
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⣛⣿⠚⠋⠈⠉⢑⣸⣾⣿⣿⣟⣛⣩⣽⣷⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠋⠋⠽⣿⡏⠀⠀⠀⠀⠀⠈⢿⣿⣿⡍⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠛⠛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⠵⠾⠛⠉⢀⢀⡠⠖⠚⠉⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠁⠀⠀⠀⠀⠀⠀⠘⢻⣿⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⣿⡏⠀⠀⠀⣀⣤⠶⠚⠉⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠀⠀⠀⠀⠀⠀⠀⠀⠐⣈⣿⣧⠿⡄⠀⠀⠀⠀⠀⠀⠰⢄⡀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⠟⣽⡿⠞⠋⣁⡤⠶⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⣾⣿⢯⣌⣄⠀⠠⠄⠥⢸⢤⠄⠀
⣿⣝⣿⣿⣿⠛⠉⣀⣀⣤⣴⢾⣿⣏⠐⡄⠀⢀⣀⣀⣀⣀⢀⣀⣀⢀⣀⡀⢀⣀⣀⣀⡀⠀⠀⣀⣀⠀⠀⠀⣀⣀⣀⡀⢀⣀⡀⢀⣀⣀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣽⢿⣋⡍⠀⣄⡆⣈⣭⣛⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⡝⠀⠘⢻⣿⣿⠛⢸⣿⣿⢸⣿⣷⣸⣿⣿⣿⠃⠀⠀⣿⣿⣇⠀⠀⣿⡿⣿⡇⢸⣿⡇⢸⣿⣿⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⠚⠀⠁⠀⠀⡇⣁⣓⡆⣿⠀⠀⠀
⣿⢃⣿⣿⣿⣿⣿⡿⠿⣿⣿⡿⣿⠛⠁⠀⠀⠀⢸⣿⣿⢢⢸⣿⣿⣾⣿⡿⢽⣿⣿⣬⡄⠀⠀⣿⣿⡇⠀⢸⣿⡇⣿⣷⠜⣿⣇⣿⣿⣿⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠭⠥⠥⡿⡀⠀⠀
⡇⣸⣿⡿⣿⣿⣻⣷⣶⣾⣶⣟⣻⠁⠀⠀⠀⠀⢸⣿⣿⢸⢸⣿⣿⢹⣿⡇⢸⣿⣿⠉⠁⠀⠀⣿⣿⡇⠀⢸⣿⣧⣿⣿⠀⣿⣿⣿⡇⣿⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠏⢸⣿⢹⡇⠃⠀⠀
⣿⣿⣿⣦⣿⣿⣷⠹⣿⣿⣿⣿⠻⡄⠀⠀⠀⠀⢸⣿⣿⢷⣸⣿⣿⣸⣿⡇⢸⣿⣿⣶⡆⠀⠀⣿⣿⣷⡆⣿⣿⢏⣿⣿⣇⣿⣿⣿⢣⢿⣿⣿⠇⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⠀⠀⠀⠀⠀⢀⡃⣛⣒⣚⣸⠏⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣶⣽⣿⣧⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⢸⠠⢀⣾⣷⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣶⣶⣾⣷⣶⣶⣿⣶⣤⡄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢹⢹⡷⠿⣭⢹⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⠏⠹⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⣷⣿⣷⣳⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠬⢹⡗⣿⡗⠀⠀⠀
⣿⣿⣿⣿⣿⣿⠟⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⢹⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡗⣓⣒⣒⠛⠇⠀⠀⠀
⠉⠈⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣿⣿⣿⣿⠟⠈⠙⠉⠛⠛⠛⠛⠛⠛⠿⠿⠶⠤⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⢀⡀⠀⠀⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣦⡘⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠟⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠛⠁⠀⠀⢰⣿⣿⣿⣯⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣷⡌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡄⠀⠹⠿⢿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣤⣶⣿⣷⣶⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠒⠋⠀⠓⠀⠙⠛⠋⠁⠁⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣾⣶⠄⣀⣀⣀⣀⠀⠀⣀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠐⠂⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⡄⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣟⠛⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠠⡄⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣷⣬⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢠⣶⠟⢻⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠉⠙⠛⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⢀⣾⠁⠀⠀⠀⠉⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠟⠙⠿⢿⣿⣿⡀⠀⠀⠀⠀⠉⠉⢀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⢠⡾⠃⠀⢀⠀⠀⠀⠀⠀⠘⣿⣿⡿⠿⠛⠉⠀⠀⠀⠀⠀⠀
⠙⠛⣿⣉⡉⠙⣿⣿⠿⠉⠀⠀⠀⠀⠀⠀⠀⢰⣾⡎⠻⣿⡷⠄⠀⠀⣿⣿⣿⣾⣿⣶⣶⣦⣦⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⢀⣴⠋⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣦⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣠⣾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠜⠁⢀⠠⣶⣄⠀⣠⣴⡶⢿⣻
⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠋⠉⠋⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡍⠻⣿⡿⠿⢿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⡿⠋⣷⣶⡀⠀⠀⢠⣾⣿⣠⣦⣄⠀⠰⣿⡀⠀⠀⠘⠋⠁⠀⠈⠛⠿⠿⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⠆⠀⠈⣿⣿⣿⢻⣿⣿⣿⡿⠟⠛⠛⠁⠾⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠰⠿⠋⠀⢠⣿⣇⠂⠀⠀⠀⢿⣿⣿⣿⣿⣆⠀⠈⠛⠶⠶⣤⣤⣤⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠘⠻⠇⠀⠙⣿⣿⣖⠀⠀⡺⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⣿⣻⡄⠀⠀⠀⠸⣻⣿⣿⣿⣿⣇⠂⠁⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⣀⣠⣴⣮⣄⣀⣹⣿⡿⠷⠾⣃⣁⣤⣴⠂⢀⡠⣴⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠻⢻⡯⠀⠀⠀⠀⠁⢹⣿⣿⣿⡿⡆⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣛⣷⠾⠋⠀⠈⠙⣋⢠⣿⣿⣿⡟⢻⠉⣵⣾⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠆⠀⠀⠀⠀⠀⠀⠽⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠛⠛⠛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⡿⠶⠛⠋⠀⠀⡠⠴⠚⠋⠉⠹⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢿⣿⣾⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⡏⠉⠀⠀⢀⣠⡴⠖⠉⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⠿⠋⠍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣹⣿⡹⣆⠀⠀⠀⠀⠀⠀⠀⡄⡀⠀
⣿⣿⣷⣿⣿⣿⣟⣿⠟⣿⣿⠶⠛⣁⣤⠶⠞⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⢻⣶⣿⣄⢀⠀⠀⡄⢸⠀⣆⡅⠀
⣿⡟⣿⣿⣿⠟⠋⢀⣀⣠⣤⢶⣿⣏⠐⡀⠀⢀⣀⣀⣀⣀⢀⣀⣀⢀⣀⡀⢀⣀⣀⣀⡀⠀⠀⣀⣀⠀⠀⠀⣀⣀⣀⡀⢀⣀⡀⢀⣀⣀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣉⣿⢟⣙⠉⣠⠀⢐⣚⣛⠃⠀⠀
⣿⡿⢸⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⡿⠀⡝⠀⠘⢻⣿⣿⠛⢸⣿⣿⢸⣿⡇⢸⣿⣿⣻⠃⠀⠀⣿⣿⣇⠀⠀⣿⡿⣿⡇⢸⣿⡇⢸⣿⣿⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠔⠂⠉⠀⠀⡿⠀⠸⢤⢹⡇⠀⠀
⡿⢡⣿⣿⣿⣿⣿⡿⠿⣿⣿⡿⣿⠗⠋⠀⠀⠀⢸⣿⣿⠦⢸⣿⣿⣾⣿⡿⢽⣿⣿⣭⠀⠀⠀⣿⣿⡇⠀⢰⣿⡇⣿⣷⠘⣿⣇⣿⣿⣿⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣩⡍⣭⣼⢇⠀⠀
⣃⣼⣿⡿⣿⣿⣻⣶⣶⣾⣶⣟⣻⠀⠀⠀⠀⠀⢸⣿⣿⢸⢸⣿⣿⢹⣿⡇⢸⣿⣿⠉⠁⠀⠀⣿⣿⡇⠀⢸⣿⣧⣿⣿⠀⣿⣿⣿⡇⣿⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢿⢁⣒⡒⣾⠘⠀⠀
⣿⣿⡷⢧⣿⣿⣷⠹⣿⣿⣿⣿⢻⡄⠀⠀⠀⠀⢸⣿⣿⢶⢸⣿⣿⢸⣿⡇⢸⣿⣿⣶⡆⠀⠀⣿⣿⣶⡆⣿⣿⠏⣿⣿⡆⢿⣿⣿⢁⢿⣿⣿⠃⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⡘⠸⠶⠽⠇⡿⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣶⣽⣿⣧⠉⠀⠁⠀⠀⠀⠀⠀⠀⠀⢸⢡⠄⣾⡷⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣶⣶⣶⣶⣶⣶⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⡏⣭⢿⣯⡓⡆⠀⠀
⣿⣿⣿⣿⣿⣿⣿⠿⢻⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠀⣶⣿⡧⣶⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣅⣙⣿⢸⣿⠀⠀⠀
⣿⢿⣿⣿⣿⣿⠟⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢹⣿⣿⣿⣾⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣴⢲⠶⠤⠾⢾⠀⠀⠀
⠋⠁⠀⠈⣻⠆⠀⠀⠀⠀⡀⠀⠀⠀⢀⣀⣾⣿⣿⡟⣿⠿⢫⣿⠟⠉⠉⠉⠀⠁⠉⠉⠛⠛⠛⠃⠀⠀⠀⠈⢻⠛⠀⠀⠀⠀⠀⠀⠛⠁⣶⠆⠀⠀⢰⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣄⠀⠀⠀⠿⠄⠀⠀⠀⠀⠁⣤⣤⡀⢽⡟⠉⠉⠉⠁⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⡈⢻⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣷⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣠⡷⠠⡬⢹⣿⠿⠿⠋⠋⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣽⡇⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣾⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣷⣤⠐⢲⠃⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣤⣤⠀⣀⣤⣠⣄⣀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣷⣆⠀⢀⡴⠛⣹⣿⣿⣿⣿⣿⣿⣟⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡟⠻⣿⣿⣿⣿⣿⣿⣿⣿⡆⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠙⢻⠻⠿⣿⡿⢿⣷⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⣋⣥⣴⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⠈⠀⠀⠈⠱⠈⢻⡇⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠹⣿⢸⣿⣿⣯⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠃⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠂⠀⠀⠈⠘⣿⢿⠿⠛⣛⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⣰⡟⠀⠀⠀⠀⠈⠉⠁⠹⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛
⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠙⠋⠁⠀⠀⢸⣿⣟⠿⠋⠉⠛⢿⣿⣧⣀⣀⣤⣀⡀⢀⢠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⢀⡼⠋⢠⠀⠀⠀⠀⠀⠀⠀⠀⠹⠿⠛⠛⠛⠋⠉⠀⠀⠀
⠁⠉⢿⣥⡄⠙⢿⠟⠁⠀⠀⠀⠀⠀⠀⠀⣠⣤⡄⠀⠈⢿⣿⠆⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠄⣠⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⣿⣦⣿⣷⣿⣿⣧⣼⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣩⣾⣿⡅⠀⠀⠀⢀⠀⠀⠀⠀⠀⢠⡤⠀⠀⣀⢸⣶⡳⠆⣤⣶⡶⢾
⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⣫⠇⠸⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣟⠛⠻⠿⠻⠟⠛⠛⠛⠿⣿⠿⣿⣿⠟⢉⣿⣿⠀⠀⣶⣿⣇⣴⣤⡀⠀⢼⣧⠀⠀⠀⠘⠋⠁⠀⠙⠻⠷⢷
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⠆⠀⠀⠈⣿⣿⣿⣿⢿⣿⣿⣿⡟⠋⠉⣉⣀⣛⡋⠁⠀⠀⠀⠀⠀⠀⠤⠐⠂⠀⠀⠈⠀⠀⢺⣿⣿⠀⠀⢹⣿⣿⣿⣿⣷⡀⠀⠙⠳⢶⣤⣤⣀⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠘⣿⡇⠀⠀⠽⣿⣿⣇⠀⣺⣿⣿⢿⠈⠀⡀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠐⢾⣿⣿⠀⠀⠀⢿⣿⣿⣿⣿⣿⡒⠂⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⣠⣴⡾⣧⣀⢀⠀⢿⣿⠿⢷⣞⣥⣷⣶⣿⣿⣵⣾⣾⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⡿⣿⠀⠀⠀⠈⠉⣿⣿⣿⣿⢷⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⣨⡿⠟⠁⠈⠉⢬⠄⢀⣀⣿⣿⠿⠛⠋⢽⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠚⠏⠀⠀⠀⠀⠀⠘⣿⣿⣿⠣⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡵⠾⠛⠀⠀⣀⡤⠶⠛⠉⠁⢽⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣷⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡶⣿⣿⡏⠉⠉⠁⠀⣠⣤⠶⠀⠈⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⢟⠓⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡂⠀⠀⠀⠀⠀⠀⠀⠀⠸⠝⠿⣏⢿⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀
⣿⣿⣿⣿⣿⣿⢿⣿⠞⣻⣿⡵⠟⢁⣠⣤⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡿⣿⣶⣿⡀⡀⠀⢀⡀⣰⢸⣈⡁
⣿⡟⣿⣿⡿⠿⠋⠁⢀⣉⣡⣴⣾⠏⢡⠀⠀⢀⣀⣀⣀⣀⢀⣀⣀⢀⣀⡀⢀⣀⣀⣀⡀⠀⠀⣀⣀⠀⠀⠀⣀⣀⣀⡀⢀⣀⡀⢀⣀⣀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣻⣿⠞⡛⠉⣀⠀⠐⣲⠚⠈⠁
⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣧⣾⣿⡿⠀⡷⠀⠘⢻⣿⣿⠛⢸⣿⣿⢸⣿⡧⢸⣿⣿⠛⡋⠀⠀⣿⣿⣇⡀⠀⣿⡿⣿⡇⢸⣿⡇⢸⣿⣿⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢬⠽⠋⠋⠀⢀⡏⠀⠯⣍⢻⠀⠀
⡿⣻⣿⣿⣿⣿⣿⣿⠿⣿⣿⡿⣿⡧⠚⠁⠀⠀⢸⣿⣿⡄⣸⣿⣿⣾⣿⣇⣻⣿⣿⣭⡁⠀⠀⣿⣿⡏⠁⢸⣿⡇⣿⣷⡘⣿⣇⣿⣿⣿⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⣛⣓⣃⣸⠌⠀
⢁⣿⣿⣿⣿⣿⣻⣷⣶⣾⣶⣟⡳⠀⠀⠀⠀⠀⢸⣿⣿⣇⢸⣿⣿⢹⣿⡇⢸⣿⣿⠉⠀⠀⠀⣿⣿⡇⠀⢸⣿⣧⣿⣿⠀⣿⣿⣿⡇⣿⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠸⢡⠶⠶⣷⠎⠀
⣿⣿⣿⣾⣿⣿⣷⠹⣿⣿⣿⣿⢳⠀⠀⠀⠀⠀⢸⣿⣿⡏⢸⣿⣿⢹⣿⡇⢸⣿⣿⣶⡆⠀⠀⣿⣿⣷⡆⣿⣿⠏⣿⣿⡇⢿⣿⣿⢓⢿⣿⣿⠇⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢤⣭⣿⠰⡿⠂⠀
⣿⣿⣿⣿⣿⣿⣿⣶⢹⣿⣧⠁⠈⠃⠀⠀⠀⠀⠀⠀⠀⠁⢳⡂⢶⣷⣰⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣶⣶⣶⣶⣶⣶⣿⣶⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣖⣒⣒⣚⢣⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⠿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠸⡄⣿⣗⢤⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⡙⢷⣮⣿⣯⠀⠀
⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⢻⣿⣿⣾⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡬⠭⣍⣡⡿⡞⠀⠀
⡇⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣿⡿⠟⠭⠿⠉⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠀⠀⠉⠟⠋⠉⠀⠀⠀⠀⠀⠈⠁⠾⠗⠀⠀⠀⣿⣿⣛⣛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣧⡀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⢸⣿⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⣤⠘⢿⢿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡇⠀⠀⠀⠀⠀⢀⣿⣿⣷⣀⠀⣠⡾⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠡⠾⠡⢶⠠⠿⠟⠛⠋⠀⠃⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣯⠁⠀⠀⠀⢀⠀⠙⣿⣿⣿⣿⣧⣿⣧⢻⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣷⣶⡂⣝⠌⠀⢠⣿⣿⣿⣿⣿⣿⣿⡏⢰⣶⠄⣀⣤⣤⣤⣀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⣀⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣷⣿⣿⡄⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⣋⣽⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⠻⣿⣿⣿⣿⣿⣧⠀⠸⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⡿⣿⣏⣿⣿⣿⣏⣩⣤⣶⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠈⠙⠫⠹⣿⠂⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⠟⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠁⠁⠉⠉⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣠⡌⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡾⠁⠀⠀⠀⠹⠟⠟⠟⢉⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⢀⣾⠋⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⠿⠛⠟⠛
⣿⣿⣿⣿⠛⢿⣿⣿⡇⠀⠀⠀⠀⠀⠐⠞⠛⠃⠀⠀⠈⣿⣿⠛⠛⠉⠉⠛⢿⣿⣷⣤⣤⣦⣄⣀⡠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⣠⠞⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠉⢿⣤⠄⠀⠙⠛⠁⠀⠀⠀⠀⠀⠀⠀⣠⣄⠀⠀⠀⠹⣿⡦⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⢀⣤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣦⢸⣶⡄⢿⣿⣿⣿⣿⣧⣾⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⡿⣫⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⣴⠄⡀⣀⡡⣯⣙⠛⣠⣴⡶⠶
⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⡹⠈⠿⠇⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡂⣼⣿⣿⠉⠙⠛⠛⠛⠉⠙⠛⢻⠿⠛⢻⡿⠋⣽⣿⡀⠀⢲⣿⣿⣠⣤⡀⠀⠴⣿⡀⠀⠈⠑⠛⠁⠀⠙⠻⠿⢾
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⠀⠀⠀⠀⢻⣿⣿⣿⠿⢻⣿⣿⣿⡟⠉⢀⣤⣴⣿⡿⠉⠀⠀⠀⠀⠀⢀⠄⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠘⣿⣿⣿⣿⣿⡆⠂⠙⠳⢦⣤⣄⣀⣀⣀⣀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⢿⡿⠉⠀⠼⡿⣿⣿⣃⠀⣾⣿⣿⣿⠈⣀⣀⠴⣀⣀⣸⡿⠃⠀⠀⠀⠀⠀⢀⢺⣿⣿⡇⠀⠀⢻⣻⣿⣿⣿⣿⡖⠒⠀⠀⠀⠈⠉⠉⠉⠉⠙⠛⠛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⣀⣴⡾⢿⣀⠀⡀⠀⢿⡿⠿⢟⣛⣽⣷⣿⣿⣿⣿⣿⣿⣿⡛⠀⠀⠀⠀⠀⠀⠀⠨⣾⣿⢿⡇⠀⠀⠈⠃⣿⣿⣿⣿⡿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⣿⣽⠟⠁⠀⠙⠷⢤⠐⡦⠈⣿⣿⡿⠻⣭⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠹⠀⠀⠀⠀⠀⠘⠿⣿⣿⡛⠀⠀⠀⠀⠀⠀⠀⠘⠿⠿⠻⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣵⠶⠃⠉⠀⢀⣤⠶⠚⠉⠉⢼⣶⣾⣿⣿⣿⣶⣿⣿⣿⣿⣿⡯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣷⣔⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⡟⠋⠙⠉⠀⣀⣠⡄⠐⠋⠁⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⢿⢿⡹⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀
⣿⣿⣿⣿⣿⣿⡿⣿⡷⣻⣿⣽⠟⠁⣀⣤⡴⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⠿⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡷⣷⡀⠄⠀⠀⣀⢰⡄⡇⣓
⣿⡻⣿⣿⣿⡿⠛⠉⠀⢉⣩⣤⣶⠟⢩⠀⠀⢀⣀⣀⣀⣀⢀⣀⣀⢀⣀⡀⢀⣀⣀⣀⡀⠀⠀⣀⣀⠀⠀⠀⣀⣀⣀⡀⢀⣀⡀⢀⣀⣀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⠿⠞⢂⠀⠁⠴⠶⠏⠉
⣿⡿⣿⣿⣧⣤⣶⣾⣿⣿⣯⣾⣿⣾⠀⡧⠀⠘⢻⣿⣿⠛⢸⣿⣿⢸⣿⡇⢸⣿⣿⠛⡛⠀⠀⣿⣿⣇⡀⠀⣿⡿⣿⡇⢸⣿⡇⢸⣿⣿⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣩⡝⠒⠉⠀⣺⠐⢸⣝⢛⡆⠀
⡟⣱⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⢿⡧⠞⠁⠀⠀⢸⣿⣿⡄⣸⣿⣿⣾⣿⣇⢺⣿⣿⣬⡇⠀⠀⣿⣿⡏⠁⢸⣿⡇⣿⣷⠘⣿⣇⣿⣿⣿⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⢒⠒⣚⣘⡇⠀
⢀⣿⣿⣿⣿⣿⣻⣷⣶⣾⣶⣟⣳⠀⠀⠀⠀⠀⢸⣿⣿⣇⣸⣿⣿⢹⣿⡇⢸⣿⣿⠉⠀⠀⠀⣿⣿⡇⠀⢸⣿⣧⣿⣿⠀⣿⣿⣿⡇⣿⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡗⠏⠥⠭⣽⠴⠀
⣿⣿⣿⣿⣿⣿⣷⠹⣿⣿⣿⣿⢳⠀⠀⠀⠀⠀⢸⣿⣿⡏⢹⣿⣿⢹⣿⡇⢸⣿⣿⣶⡆⠀⠀⣿⣿⣷⡆⣿⣿⠏⣿⣿⡇⢿⣿⣿⢻⢿⣿⣿⠇⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢠⣼⣻⡇⣿⠗⠀
⣿⣿⣿⣿⣿⣿⣿⣶⢽⣿⣥⠉⠘⠇⠀⠀⠀⠀⠀⠀⠀⡇⢳⡖⢠⣶⣰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣴⣶⣶⣶⣿⣷⣶⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡶⡶⣒⣒⣶⠾⡄⠀
⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡗⢸⡇⣮⣟⣤⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠓⠿⣭⣹⣷⡇⠀
⣿⣿⣿⣿⣿⣿⡿⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢢⢷⣿⣯⣾⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣨⣭⣙⣛⣸⣿⠀⠀
⣿⠀⠁⠀⠀⠀⠀⠈⣧⡀⠀⠀⠀⠀⢀⣀⣤⣿⣿⣿⣿⠷⠛⠓⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⢿⣿⣶⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡠⣤⡄⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⢹⠟⠉⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠌⢧⠀⣛⠻⣿⣿⣿⡿⠻⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⣄⡐⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣴⣶⣶⣿⣿⣿⣶⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠘⠛⠘⠛⠋⠉⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣦⣀⢠⡄⠀⠀⠀⢀⣠⣀⣻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣀⣀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣷⣀⠀⠀⠀⣹⣿⣿⣿⣿⡏⠁⠀⠀⠰⠀⣤⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣤⣰⢿⣿⣿⣿⣿⡟⣦⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⡏⣾⣿⣅⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⡿⠛⣉⣤⣾⣿⣿⣿⣿⣿
⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠃⠻⡿⠿⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡧⠈⢿⣿⣿⣥⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣄⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠃⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠉⠀⠀⠉⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣯⣤⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣷⣶⣌⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣀⠀⠄⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠈⠉⢉⣡⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢀⣼⠟⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⠻
⣿⣿⣿⣿⠿⡏⠙⢿⣿⣿⣿⠇⠀⠀⣤⡾⠟⠀⠀⠀⠀⠸⣿⣟⠛⠛⠁⠀⠈⠙⣿⣿⣷⣿⣿⣷⣶⣖⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⢀⣴⠟⠁⠀⠀⢿⢿⠿⣿⣿⣿⠟⠉⠁⠀⠀⠀⠀⠀⠀
⠉⠙⣿⣤⠀⠀⠀⠀⠙⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠇⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⢒⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠙⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀
⣿⣿⣿⣿⣿⣿⣿⣾⣷⣾⣷⣷⣶⣶⣶⣶⣶⣦⢰⣦⡀⠀⠀⣿⣿⣿⣿⣭⣵⣶⣿⣿⣿⣿⣿⣿⣿⡟⢻⣿⡿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣵⣿⡇⠀⢀⡀⠀⠀⠀⠀⠀⠀⢠⡤⢀⣀⣚⣵⣶⣶⡆⣠⣤⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠻⢿⠀⡀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⣼⣿⡁⠀⠀⠀⠈⠀⠙⠀⠈⠉⠙⠉⠁⠘⠋⢾⣷⠀⢸⣾⣿⡃⣤⣀⠀⠠⣿⡄⠈⠘⠛⠿⠛⠁⠈⠻⢿⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⠀⠀⠀⠀⠀⢿⣿⣿⣿⡏⠙⣿⣿⣿⣿⠁⠀⣰⣶⣿⣿⡄⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠀⠀⣿⣿⣿⣿⣿⣦⠠⠘⠿⣦⣄⣀⣀⣀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠈⣿⡟⠀⠀⢼⡿⢿⣷⣦⣀⣸⣿⢿⢟⣫⣤⣶⣶⣯⣂⣰⡤⠄⠀⠀⠀⠀⠀⠀⡘⣽⣿⠀⠀⠸⡿⣿⣿⣿⣿⣇⠤⠐⠀⠈⠉⠉⠙⠛⠛⠛⠛⠛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⢀⣠⡴⠾⣷⣀⠀⠀⠀⠘⠿⢛⣛⣭⣷⣾⣿⣿⣿⣿⣿⣿⡟⠏⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⡿⠀⠀⠀⠛⢹⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠰⣞⣿⠿⠃⠀⠈⠻⡷⠝⢓⠀⣀⢘⣟⣽⣟⣫⣶⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠃⠀⠀⠀⠀⠈⠻⢿⣿⡿⠎⠀⠀⠀⠀⠀⠀⠀⢲⠾⠿⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣟⣫⣥⠜⠋⠁⠀⣀⡤⠶⠛⠋⠓⣦⠞⢲⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠀⠀⠀⠀⠀⠀⠀⢴⣿⣿⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⡿⣿⣿⣿⡿⣿⣿⣽⣿⣿⠿⠛⠛⠋⠉⠁⣀⠀⠴⠖⠋⠉⠀⠀⠀⠀⠀⠘⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠁⠀⠀⠀⠀⠀⠀⠀⠀⢙⢿⣿⡟⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣻⣿⣿⣿⣿⣿⡽⣿⣟⣫⡿⠃⠀⣀⣤⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠻⣿⠿⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢶⣗⣻⣼⡆⠀⠀⠀⠀⠀⢠⢸⠑
⣭⣷⣿⣿⣿⣿⠞⠋⠀⠛⢋⣡⣴⠞⡛⠉⠀⢀⣀⣀⣀⣀⢀⣀⣀⢀⣀⡀⢀⣀⣀⣀⡀⠀⠀⣀⣀⠀⠀⠀⣀⣀⣀⡀⢀⣀⡀⢀⣀⣀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⢿⣿⡿⣦⠲⠀⠈⢁⣭⣼⠛
⣿⣇⣿⣿⣅⣀⣤⣶⣶⣿⣟⣿⣿⡶⠘⡆⠀⠘⢻⣿⣿⠛⢸⣿⣿⢸⣿⡇⢸⣿⣿⠛⠻⠀⠀⣿⣿⣇⠀⠀⣿⡿⣿⡇⢸⣿⡇⢸⣿⣿⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⣛⠫⠕⠂⠀⡿⠀⣴⠲⢶⡀
⠋⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣃⡴⠁⠀⠀⢸⣿⣿⠀⢸⣿⣿⣾⣿⡇⢸⣿⣿⣤⡇⠀⠀⣿⣿⡏⠁⢸⣿⡇⣿⣷⠘⣿⣇⣿⣿⣿⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⢀⡇⠤⠭⠍⢸⠃
⢰⣿⣿⣿⣿⣿⡻⣷⣶⣶⣶⣟⣋⠁⠀⠀⠀⠀⢸⣿⣿⢠⣽⣿⣿⢹⣿⡏⢸⣿⣿⠉⠁⠀⠀⣿⣿⡇⠀⢸⣿⣧⣿⣿⠀⣿⣿⣿⡇⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢱⠛⣛⣛⣟⣤
⣿⣿⣿⣿⣿⣿⣷⠹⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⢸⣿⣿⠸⢻⣿⣿⢺⣿⡇⢸⣿⣿⣶⡆⠀⠀⣿⣿⣷⡆⣿⣿⠏⢿⣿⡇⢿⣿⣿⢳⢿⣿⣿⠇⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⣐⠰⢷⣄⣿⡀
⣿⣿⣿⣿⣿⣿⣿⣶⣽⣿⡅⠉⠸⡄⠀⠀⠀⠀⠀⠀⢰⡀⣦⣷⣆⢐⢰⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣤⣄⣲⣶⣶⣿⣶⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣅⡭⠭⢭⣤⡇⡂
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠣⢸⡟⠍⡚⡞⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠸⢷⣟⣛⢷⣈⠂
⣿⣿⣿⣿⣿⣿⡿⠿⠻⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⣌⣧⡭⣿⣸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢸⣲⠾⠟⣿⢹⠀
⣿⠉⠁⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⠿⠿⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠸⣿⣷⣦⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠤⣤⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⢱⡟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠇⢹⡄⣙⡛⣿⣿⣿⡿⠛⢟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣠⡀⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠉⠉⠉⠉⠉⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣷⣦⡄⠁⠀⠀⠀⢀⣤⣘⡿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣀⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣷⣄⠀⠀⢀⣯⣿⣿⣿⣿⠉⠀⠀⠀⠐⠀⣤⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯
⣿⣿⣿⣿⣿⣿⣿⣤⣈⣭⣝⣻⣿⣿⢳⡄⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡉⠋⠁⣻⣿⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⡿⠟⣉⣴⣿⣿⣿⣿⣿⣿
⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⢻⠛⠇⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⢛⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠿⣿⣿⣟⣡⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠁⠀⠀⠀⠘⣿⣿⣿⡟⠛⢻⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣶⣦⡛⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⢹⣿⣿⣿⣿⡿⢿⠿⣿⣿⣿⣧⣀⣀⣀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⣰⠿⠁⣀⣀⣼⣿⣿⣿⣿⣿⣿⡿⠟⠋⠉⠀⠘
⣿⣿⣿⣿⢿⠋⠻⣿⣿⣿⣿⠂⠀⢀⣴⡾⠏⠀⠀⠀⠀⠀⣿⣿⡛⠁⠁⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⣠⡾⠋⠀⠸⣿⣿⣿⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀
⠛⠻⣧⣤⠀⠀⠀⠈⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡧⠀⣀⣀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠰⣦⡾⠋⠀⠀⠀⠀⢿⣿⣿⡿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣷⣶⣶⣶⣶⣶⡄⣦⣄⠀⠀⠀⣿⣿⣿⣿⣷⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⡿⠿⣿⡿⠿⣿⣿⠿⢿⣿⣿⣿⡿⣧⣾⣿⠀⢀⣀⠀⠀⠀⠈⠁⠀⢀⣿⠛⣓⣐⣠⣴⣲⣦⣀⣤⣬
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠈⣿⡇⢠⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⢣⣻⣯⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠉⠁⠀⠉⠐⣿⠀⠸⣿⣿⡇⣤⣄⠀⠠⣼⡇⠈⠈⠋⠻⠛⠋⠏⡻⢿⣷
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⢻⣿⣿⣿⡿⠁⢻⣿⣿⠿⠇⠀⣰⣾⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡆⠀⢿⣿⣿⣿⣿⣧⠠⠌⠿⣦⣄⣀⣀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢿⣿⠁⠀⠠⡿⠿⣿⣷⣆⣐⣿⡿⢿⣻⣥⣶⣶⣿⣿⣄⡤⠤⠀⠀⠀⠀⠀⠀⠀⣾⣿⠃⠀⠸⡿⣿⣿⣿⣿⣧⠤⠀⠀⠈⠉⠙⠛⠛⠛⠛⠛⠛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⣀⣤⠾⢿⣄⠀⠀⠁⠀⠙⠟⣛⣯⣽⣾⣿⣿⣿⣿⣿⣿⣿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⠀⠀⠀⠻⢹⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣴⣖⣻⡿⠃⠀⠈⠻⠷⠿⢒⠂⢀⡘⣿⣭⣿⣿⣾⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠈⠻⣿⣿⣿⠎⠀⠀⠀⠀⠀⠀⠀⢰⡾⠿⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣫⡥⠾⠛⠁⠀⣀⣤⠶⠚⠋⠑⣦⡶⢳⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⣄⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠿⠟⠟⠛⠉⠁⢀⠀⡴⠖⠋⠉⠀⠀⠀⠀⠀⠘⠛⢿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⢿⣿⡟⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣻⡿⠀⠀⣀⣤⠶⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠟⢿⠻⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣿⣚⣨⡄⠀⠀⠀⠀⠀⢠⢠⡓
⣭⣿⣿⣿⣿⣿⠟⠋⠘⠟⠋⣁⣤⡶⠛⠉⠀⢀⣀⣀⣀⣀⢀⣀⣀⢀⣀⡀⢀⣀⣀⣀⡀⠀⠀⣄⣀⠀⠀⠀⣀⣀⣀⡀⢀⣀⡀⢀⣀⣀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣦⠦⠀⠐⢃⣨⣘⠗
⣿⢻⣿⣿⣉⣀⣤⣤⣶⣾⣿⣿⣿⡖⠱⡄⠀⠘⢻⣿⣿⠛⢸⣿⣿⢸⣿⡇⢸⣿⣿⠛⠻⠀⠀⣿⣿⣧⡀⠀⣿⡿⣿⡇⢸⣿⡇⢸⣿⣿⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢶⠛⠵⠂⠀⡶⠀⣠⠶⢦⡀
⢋⣾⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⡿⣃⡴⠁⠀⠀⢸⣿⣿⠀⢸⣿⣿⣾⣿⡇⢸⣿⣿⣤⡇⠀⠀⣿⣿⡏⠉⢸⣿⡇⣿⣷⠘⣿⣇⣿⣿⣿⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠉⠀⠀⠀⠀⡇⣤⣭⡑⠸⠇
⣼⣿⣿⣿⣿⣟⡻⣷⣶⣶⣶⣟⡋⠁⠀⠀⠀⠀⢸⣿⣿⣃⣺⣿⣿⢹⣿⡏⢸⣿⣿⠉⠁⠀⠀⣿⣿⡇⠀⢸⣿⣧⣿⣿⠀⣿⣿⣿⡇⣿⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢣⠒⣒⣒⣚⣠
⣿⣿⣿⣿⣿⣿⣷⠹⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⠸⢿⣿⣿⢼⣿⡇⢸⣿⣿⣶⡆⠀⠀⣿⣿⣷⡆⣿⣿⠏⢿⣿⡇⢿⣿⣿⢳⢿⣿⣿⠇⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠸⠰⢯⣍⣿⠘
⣿⣿⣿⣿⣿⣿⣿⣶⣽⣿⡅⠉⢶⡀⠀⠀⠀⠀⠀⠀⠐⠆⣦⣷⣆⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣤⣄⣶⣶⣶⣿⣶⣶⣄⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣁⣹⣿⣋⣡⡏⡂
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠐⢿⠻⠏⠐⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⢧⣞⡻⢶⡌⠇
⣿⣿⣿⣿⣿⣿⣿⣟⠿⡟⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⣼⣗⣪⣷⣷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠰⠦⡭⡿⢸⢇⠀
⡿⠟⠉⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⠿⠿⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠈⠀⠀⠈⢀⡀⠀⠈⢿⣿⣶⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡧⢤⠄⠄⠀⠀⠘⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⢘⣧⣨⣍⣿⣿⣿⡿⠟⠛⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠁⠈⠉⠉⠉⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣦⡄⠁⠀⠀⠀⢀⡀⠀⠀⣴⣿⣟⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣄⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣤⠀⠀⢠⣌⣤⣶⣀⣹⡏⠀⠀⠀⠀⠀⠃⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋
⣿⣿⣿⣿⣿⣷⣤⣘⣉⠈⢻⣿⡟⡧⣷⡀⠀⡄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠻⠞⠇⠁⢻⣷⠀⠠⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⠿⠟⣉⣵⣿⣿⣿⣿⣿⣿
⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⢠⠙⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⢋⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣋⣡⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠃⠀⠀⠀⠹⠿⠿⠿⢋⣋⣽⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠇⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿
⣶⣦⡚⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⠛⠿⠻⣿⣿⣿⣦⣤⣤⣀⠀⢀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⣠⣾⣧⣹⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠉⠀⠀
⣿⣿⣿⣿⠛⢿⣿⣿⣿⣿⠇⠀⠀⢀⣴⡾⠇⠀⠀⠀⠀⠀⢻⣿⣿⠓⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⢀⡾⠋⠀⢿⣿⣿⣿⣿⣿⣿⡟⠋⠁⠀⠀⠀⠀⠀⠀
⠋⢿⣥⠈⠀⠀⠙⠿⠛⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣟⢀⣀⣀⡀⢀⣀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢧⡴⠋⠀⠀⠀⠀⠻⠋⠀⢸⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⠀⣦⣄⠀⠀⠀⢸⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣽⣿⣿⠿⠿⠿⠿⠿⣿⡟⠻⣿⣿⣿⠿⠿⣴⣿⠀⢀⣀⡀⠀⠀⠀⠀⠀⢈⣥⢀⣠⠄⢠⣴⢶⣶⢀⣠⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠹⣿⡀⢤⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⣛⣽⣿⡧⠀⠀⠀⠀⠀⠁⠀⠀⠈⠉⠀⠀⠀⠈⣿⡆⠸⣿⣿⡇⣤⣄⠀⠀⣼⣇⠀⠅⠛⠻⠟⢣⡯⡙⠿⣷
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⠁⢸⣿⣿⡟⠟⠀⢠⣼⣿⣿⣿⡷⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡇⠀⢿⣿⣿⣿⣟⣧⠀⠌⠻⣦⣄⣀⡀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢹⣿⡟⠉⠰⣿⠿⢿⣿⣷⣤⣿⣿⣟⣫⣵⣶⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡇⠀⠸⡿⣿⣿⣿⣿⣧⠠⠤⠀⠈⠉⠙⠛⠛⠛⠻⠶⠶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣠⡤⠶⣿⣦⡀⠀⠀⠀⠈⠛⣩⣽⣶⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⣿⠃⠀⠀⠹⢹⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡸⣦⣖⣻⡿⠃⠀⠀⠹⠿⠺⠒⠚⢀⡼⣿⣥⣶⣷⣶⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠛⠀⠀⠀⠀⠈⠹⣿⣿⣿⢎⠀⠀⠀⠀⠀⠀⠀⢠⣶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⢟⣛⡀⠾⠛⠁⠀⣀⣠⠴⠞⠋⠉⢶⡄⣻⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣽⣿⡆⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⠿⠿⠟⠛⠋⠉⠀⣀⡤⠖⠛⠉⠁⠀⠀⠀⠀⠀⠙⠿⢿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠿⣿⡗⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣟⣽⣿⣿⣻⡿⠀⠀⣀⣤⠶⠟⠃⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⠟⠻⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣿⣖⣈⣄⠀⠀⠀⠀⠀⢀⢀⡓
⣿⣿⣿⣿⣿⣯⠟⠋⠸⠟⠛⣉⣤⡶⠛⠋⠀⢀⣀⣀⣀⣀⢀⣀⣀⢀⣀⡀⢀⣀⣀⣀⡀⠀⠐⣄⣀⠀⠀⠀⣀⣀⣀⡀⢀⣀⡀⢀⣀⣀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣯⣿⣷⣶⣦⡠⠀⠀⠂⣘⣁⡗
⣿⣻⣿⣿⣋⣀⣠⣤⣴⣶⢿⣿⣷⡖⢰⡀⠀⠘⢻⣿⣿⠛⢸⣿⣿⢸⣿⡇⢸⣿⣿⠛⢳⠀⠀⣿⣿⣇⡀⠀⣿⡿⣿⡇⢸⣿⡇⢸⣿⣿⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠟⣫⠌⠀⣴⠀⢠⠴⢭⡄
⢋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢃⡼⠁⠀⠀⢸⣿⣿⠀⢸⣿⣿⣾⣿⡇⢸⣿⣿⣤⡆⠀⠀⣿⣿⡏⠁⢸⣿⡇⣿⣷⠘⣿⣇⣿⣿⣿⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠁⠀⠀⠀⡏⣀⣘⣓⠰⡇
⣼⣿⣿⣿⣿⣟⡻⣾⣶⣶⣶⣟⡓⠉⠀⠀⠀⠀⢸⣿⣿⣒⣺⣿⣿⢹⣿⡗⢸⣿⣿⠉⠁⠀⠀⣿⣿⡇⠀⢸⣿⣧⣿⣿⢀⣿⣿⣿⡇⣿⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢇⡴⣶⢶⣶⢃
⣿⣿⣿⣿⣿⣿⣷⠹⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⢹⢾⣿⣿⢸⣿⡇⢸⣿⣿⣶⡆⠀⠀⣿⣿⣷⡆⣿⣿⠏⢿⣿⡯⢿⣿⣿⢳⢿⣿⣿⠇⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢹⠡⣯⡍⣿⢻
⣿⣿⣿⣿⣿⣿⣿⣶⣽⣿⠁⠁⣦⠀⠀⠀⠀⠀⠀⠀⡴⡄⣘⣶⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣀⣀⣶⣶⣶⣿⣶⣶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⣘⣓⣚⣃⣛⢸
⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⡆⠀⠈⠀⠀⠀⠀⠀⠀⠀⡀⠁⢿⢿⡿⠕⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⡇⡶⠾⢯⡍⡇
⣿⣿⣿⣿⣿⣿⣻⡟⣿⡟⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠠⣸⣖⣲⡦⣶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⣍⣿⢸⠇⠀
⠉⠉⠉⠁⠀⢀⠀⠀⠀⠀⢀⣄⠀⠀⠀⠀⠐⣿⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⢁⡀⡀⠘⣿⣿⣧⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠒⠀⠀⠀⠂⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣴⣶⣶⣿⣷⣶⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢸⣆⣹⣝⣿⣿⣿⡿⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠀⠉⠉⠉⠁⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⢴⣿⠿⠋⠀⡀⠀⠀⠀⣀⣀⣤⣤⣠⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟
⣶⡏⠀⠀⠀⣰⣤⣀⠀⠀⠀⠀⢸⣷⡀⠀⢰⡏⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣴⣿
⣿⣷⣆⣀⠘⣋⡁⠉⠁⠀⠀⠀⢸⢿⣯⡀⠘⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠋⠛⠃⢨⠀⠀⠀⠘⣿⣧⠀⠉⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢻⣿⣿⡿⠟⢋⣡⣴⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠈⠀⠀⠀⢿⣿⣍⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠳⠶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠻⡜⣿⣿⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠹⣗⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠙⠛⠛⢋⣥⣴⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⢡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠀
⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⢻⣿⣿⡿⡿⠙⠛⠙⠙⢻⣿⣿⣿⣶⣶⣦⣤⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⢀⣽⣿⣟⣿⣿⣿⣿⣿⣿⠿⠛⠋⠀⠀⠀⠀⠀
⣿⣿⢿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⣠⡶⠟⠀⠀⠀⠀⠀⠀⠘⣿⣿⡏⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⣠⡿⠻⣿⣿⡿⠛⣻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣭⠀⠉⠟⠛⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣁⣠⣤⡤⢤⢤⣎⣽⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣠⡾⠋⠀⠀⠈⠉⠀⠀⠹⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡄⢰⣤⡀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⠿⠛⠛⠛⠛⠿⣿⣟⠻⡿⣿⡿⠟⠃⢾⡏⢀⣀⠀⠀⠀⠀⠀⠀⠀⣠⡀⢠⠀⠀⣐⣦⣤⠀⣀⣬
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠈⠿⣇⠠⣄⠀⠀⢻⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⠟⢉⣉⣭⣿⣿⡇⠀⠀⠀⠀⠀⠈⠛⠀⠀⠀⠀⠀⠀⠈⣷⠈⣿⣿⡷⢀⣀⠀⢀⣰⣿⠁⣺⣚⣻⡿⢿⣿⡿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢠⠈⠀⠉⠓⠀⠈⢿⣿⣿⡿⠃⠀⣺⣯⣿⣍⡉⠀⣼⣿⣿⣿⡿⠟⣀⣀⣤⣦⠈⠁⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⢻⣿⣿⣿⣿⣷⡍⣿⣿⣦⣀⠁⠀⠀⠉⠻⠍⠂⠈
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡸⡀⠀⠀⠀⠀⠀⠈⣿⣿⠰⠆⢿⠿⢻⢽⣿⣿⡿⠿⢿⣯⣽⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⢠⣼⣿⠀⠈⣿⣿⣿⣿⣿⣿⣄⣩⣬⠉⠛⠻⠷⠶⠶⢶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣧⠀⠀⠀⣀⣠⠴⣾⣷⣤⠀⠈⠁⢀⡈⢉⣴⣶⢿⡿⢿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡏⠀⠀⠸⡿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣤⢴⣾⡿⠀⠀⠀⠘⢿⡿⠿⢛⠉⣤⣤⣿⣦⣷⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠻⣿⣿⣿⣯⠃⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣋⢨⡼⠟⠉⠀⢀⣀⣤⠖⠋⠉⢡⡆⣈⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠇⠀⠀⠀⠀⠀⠠⢲⣿⣿⡆⢀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣿⣿⣿⣿⠾⠿⠗⠛⠋⠀⣀⣤⡴⠚⠋⠁⠀⠀⠀⠀⠀⠙⠟⠿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⢈⣻⣿⣿⡿⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⡿⣿⡷⠀⠀⢀⣠⣴⠶⠈⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠙⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⣁⣿⣭⠌⣂⠀⠀⠀⠀⠀⠀⡀⡶
⣿⣿⣿⣿⣿⣿⠿⠋⣿⠿⠟⢉⣠⣴⠾⠋⠁⢀⣀⣀⣀⣀⢀⣀⣀⢀⣀⡀⢀⣀⣀⣀⡀⠀⠘⣄⣀⠀⠀⠀⣀⣀⣀⡀⢀⣀⡀⢀⣀⣀⠀⣀⣀⠠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⣿⣿⣿⣿⣤⣀⡀⠀⠤⠰⠇⣧
⣟⣿⣿⡟⠋⠁⣀⣠⣤⣶⢾⣿⣏⡄⣄⠀⠄⠘⢻⣿⣿⠛⢸⣿⣿⢸⣿⡇⢸⣿⣿⠛⡳⠀⠀⣿⣿⣇⠀⠀⣿⡿⣿⡇⢸⣿⡇⢸⣿⣿⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣭⡿⢟⡉⠁⢠⡀⠀⣉⣝⡁
⢱⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⡿⢀⡼⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⣾⣿⡇⢸⣿⣿⣤⡅⠀⠀⣿⣿⡏⠃⢸⣿⡇⣿⣷⠘⣿⣇⣿⣿⣿⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠴⠂⠈⠀⠀⠸⠀⠸⠶⠌⣷
⣿⣿⣿⣿⣿⣿⣻⣶⣶⣾⣶⣟⡓⠋⠀⠀⠀⠀⢸⣿⣿⠠⢼⣿⣿⢹⣿⡇⢸⣿⣿⠉⠁⠀⠀⣿⣿⡇⠀⢸⣿⣧⣿⣿⢠⣿⣿⣿⡇⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣨⡭⢭⣤⠇
⣿⣿⣿⣿⣿⣿⣿⠹⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⢸⣿⣿⣯⢾⣿⣿⢸⣿⡇⢸⣿⣿⣶⡆⠀⠀⣿⣿⣶⡆⣿⣿⠏⢿⣿⡟⢿⣿⣿⢳⢿⣿⣿⠇⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢇⣇⣞⡛⢻⣦
⣿⣿⣿⣿⣿⣿⣿⣷⣿⣟⠁⢹⡄⠀⠀⠀⠀⠀⠀⢀⢶⠱⠻⣶⡆⠄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⡀⠀⢐⣶⣶⣿⣶⣶⣦⣖⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠸⠶⠯⠟⢻⢰
⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⠀⠀⠉⠀⠀⠀⠀⠀⠀⢸⠀⡎⣿⣿⣿⣃⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⡿⣩⣭⣽⡛⣺
⣻⣿⣿⣿⣿⣿⣿⢻⣿⠻⠃⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠁⢿⣸⢿⡄⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣁⡛⣶⢼⡿⠃
⠋⠉⠁⠀⢀⠀⠀⠈⠀⠠⢤⣀⠀⠀⠀⣀⠀⠙⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⢩⡀⢀⠀⢻⣷⣮⣍⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠗⠀⠀⠒⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣶⣶⣶⣿⣾⣶⣶⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢘⣷⣨⣟⣿⣿⣿⣿⠿⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣠⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⠘⠉⠉⠉⠁⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡟⡿⠿⠋⢀⣀⠀⠀⠀⣠⣠⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣆⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡏⠀⠀⠀⣠⡤⠀⠀⠀⢙⣿⣿⣯⣿⡄⠀⢸⡏⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣫
⣿⣆⣀⠘⣋⡀⠀⠀⠘⢿⣿⣿⡿⢿⣷⡀⢸⣇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⠛⠓⣤⣤⣹⣿⣿⣧⣹⣿⣧⠀⡛⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢹⣿⣿⣿⣿⣿⠿⢛⣩⣽⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡄⠀⠈⠊⠉⢻⣿⡇⣿⣿⣿⠀⠁⠀⠀⠀⢻⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠉⠛⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠹⠌⣿⣿⣟⣭⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠙⠿⡈⢿⣿⡇⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠈⠋⠙⠛⣡⣴⣾⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⠀⠉⠁⠀⠀⠀⠀⠀⢹⣿⣿⣿⡿⠏⠁⠉⠉⠛⣿⣿⣿⣷⣶⣶⣤⣤⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⣠⡾⠛⢻⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠀⠀⠀
⡿⢿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⢀⣴⡾⠃⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⣠⡾⠋⢧⣾⣿⣿⣿⣿⣿⣟⠉⠀⠀⠀⠀⠀⠀⠀
⣥⠀⠙⢿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣯⣤⣤⣶⣶⣶⣶⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⣼⠏⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀
⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣴⣤⣤⣴⣦⡀⣦⣄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠛⠛⠛⢿⠟⠛⠿⣿⣿⡟⠋⢿⡟⠁⢀⠀⠀⠈⠛⠛⠛⠿⣿⡿⢿⣿⠄⣀⢤⣄⠀⢀⣐
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠙⣿⡇⢤⡀⠀⠀⢹⣿⣿⣿⣿⣿⠿⡟⣿⣿⣿⣿⡿⠋⣁⣭⣿⣿⡗⠀⠀⠀⠀⠀⣀⡉⠃⠀⠀⠁⠀⠀⠀⣷⠘⣿⣿⡶⢀⡀⠀⢀⣠⣿⠡⢾⡺⢟⣿⢷⣿⢷⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⡌⠛⠀⠋⠣⡀⠀⢿⣿⣿⡿⠋⠀⢆⣯⣽⣧⣉⠀⢰⣿⣿⣿⡿⠿⣁⣀⣤⣴⠀⠌⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⢿⣿⣿⣿⣿⣿⣽⣿⣿⣆⡉⠛⠙⠀⠙⠻⠷⠌⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢸⠀⠀⠀⠁⠈⠀⠈⣿⣿⠕⠓⢾⣿⠟⡏⣿⣿⣷⠿⢿⣯⣽⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢀⣸⣿⠀⠘⣿⣿⣿⣿⣿⣿⣍⣋⣭⠛⠛⠶⠶⠶⣶⣤⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣇⠀⠀⠀⣀⣠⠤⣾⣿⣤⢀⠀⠉⠀⣀⢉⣥⣶⠾⡿⡿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠸⢻⡟⠀⠀⠹⡽⣿⣿⣿⣿⣯⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣤⢴⣾⡏⠁⠀⠁⠘⢿⣿⠿⠿⡺⢡⡾⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠁⠀⠀⠀⠁⠻⣿⣿⣿⣏⠇⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⣫⣿⠟⠋⠀⠀⣀⣤⠔⠛⠉⢰⡬⡐⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠏⠀⠀⠀⠀⠀⠀⢩⣟⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠛⠉⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⡿⠷⠟⠃⠉⢀⣀⡤⠶⠛⠉⠀⠀⠀⠀⠀⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣷⡿⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⣿⡍⠀⠀⠀⣀⣤⡆⠘⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠉⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠈⠉⣉⣛⣻⡌⠂⠀⠀⠀⠀⠀⠀⠀⣴
⣿⣿⣿⣿⣿⣿⡿⢛⣿⡿⠞⢋⣀⣴⠶⠛⠉⢀⣀⣀⣀⣀⢀⣀⣀⢀⣀⡀⢀⣀⣀⣀⡈⠀⠐⣄⣀⠀⠀⠀⣀⣀⣀⡀⢀⣀⡀⢀⣀⣀⠀⣀⣀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⣿⣿⣾⣿⣄⢀⡀⠀⣤⠠⠇⣷
⣿⣿⣿⠿⠛⠁⢀⣀⣤⣴⣾⣿⣋⢠⡀⠀⠀⠘⢻⣿⣿⠛⢸⣿⣿⢸⣿⡇⢸⣿⣿⠛⡃⠀⠀⣿⣿⡇⠀⠀⣿⡿⣿⡇⢸⣿⡇⢸⣿⣿⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣻⣿⠿⡛⠋⢡⡀⠐⢚⣛⠃
⣾⣿⣿⣶⣶⣿⣿⡿⠿⢷⣿⣿⡏⠀⡗⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⣾⣿⡇⢸⣿⣿⣤⡅⠀⠀⣿⣿⡗⠂⢸⣿⡇⣿⣷⠘⣿⣇⣿⣿⣿⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡽⠆⠉⠁⠀⢸⠁⠰⢬⠉⣿
⣿⣿⣿⣿⣿⣿⣿⣶⣶⣾⣶⣟⡳⠋⠀⠀⠀⠀⢸⣿⣿⢤⣸⣿⣿⢹⣿⡟⢸⣿⣿⠉⠁⠀⠀⣿⣿⡇⠀⢸⣿⣧⣿⣿⢀⣿⣿⣿⡇⣿⣿⣿⡇⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⢘⣻⣏⣠⡅
⣿⣿⣿⣿⣿⣿⣷⠻⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⢸⣿⣿⣢⢼⣿⣿⣾⣿⡟⢸⣿⣿⣶⡆⠀⠀⣿⣿⣶⡆⣿⣿⠏⢿⣿⡿⢿⣿⣿⢣⢿⣿⣿⠇⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠧⡇⣶⠶⢶⣖
⣿⣿⣿⣿⣿⣿⣿⣷⣿⡟⠁⣥⠀⠀⠀⠀⠀⠀⠀⢐⡆⢏⢷⣶⠡⡘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠰⠲⣶⣶⣾⣶⣶⣦⡶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠸⣬⣭⡏⢿⢡
⣿⣿⣿⣿⣿⣿⣿⢿⣿⣧⠀⠈⠃⠀⠀⠀⠀⠀⠀⠠⠰⢸⣿⣿⣶⡃⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡖⣾⣛⣛⣒⡛⢼
⣿⣿⣿⣿⣿⣿⣿⢿⡿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⡄⣧⣽⣿⣀⣸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡋⠿⣤⣽⡷⠋
⠉⠁⠀⠀⣀⠀⠀⠁⠀⣀⣀⠀⠀⠀⠀⣀⠘⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠀⠀⠈⣅⠀⠀⢹⣷⣶⣍⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠆⠀⠐⠚⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⡖⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣶⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠂⣷⣈⣿⣻⣿⣟⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⣤⣠⣤⣤⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠉⠈⠋⠉⠉⠉⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡠⠀⠀⠀⢠⣽⣿⣿⣧⣀⢿⣿⣷⡟⠿⠃⢠⣄⠀⠀⠀⠠⣠⣤⣤⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⣠⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣅⠀⠀⠀⠘⠛⣿⣿⣿⣿⣦⡈⡯⢧⡀⠀⢸⣿⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿
⣿⣷⣄⡀⢾⢿⣿⣿⣿⣿⣿⣿⡟⣿⣧⠀⢸⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾
⣿⣿⣿⣿⣦⣬⣿⣿⣿⣿⣿⣿⣧⣿⣿⣇⠈⡏⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢸⣿⣿⣿⣿⣿⣿⡿⠟⢋⣽⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣇⠻⣿⣿⣿⣿⡿⣿⣿⣿⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠉⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠙⠆⣿⣿⣿⠿⣋⣡⣴⣾⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠟⠀⠈⠙⢿⣿⣿⣽⢿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠁⠀⠀⠀⠈⠉⠉⣉⣤⣶⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠈⠉⠛⠈⠉⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⡿⠟⠀⠉⠁⠉⢻⣿⣿⣿⣷⣿⣶⣠⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⢀⣴⠿⠙⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠋⠉⠁
⠙⢿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⢠⣴⠿⠃⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠃⠀⠀⠀⠀⠀⡠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⢀⣴⠟⣣⣴⣿⣿⣿⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀
⠀⠀⠙⢿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣯⣤⣤⣴⣶⢒⣶⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣠⡿⠁⠈⢻⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀
⣶⣶⣦⣶⣿⣿⣶⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀⣦⡄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⠋⠛⠛⠛⠛⠻⢿⢿⣿⣿⣿⡿⠛⠁⡿⠋⠀⠀⠀⠀⠛⠻⠿⠿⣿⣿⡿⣿⠆⠀⢀⡀⠀⠀⣐
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⢻⣿⡀⣤⡀⠀⠀⢹⣿⣿⣿⣿⣿⣿⠿⢻⣿⣿⣿⣿⠛⢁⣠⣿⣿⣿⠂⠀⠀⠀⠀⠀⡀⠙⠃⠀⠀⠀⠀⠀⣴⠐⣿⣷⣦⢀⠀⠀⠀⢀⣾⠁⠴⠶⠾⣻⣿⣿⣧⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⡿⠇⠘⠟⢆⠀⠀⢿⣿⣿⣿⠟⠉⢒⣿⣿⣿⣌⠁⢀⣾⣿⣿⣿⠿⢏⣀⣤⣴⡆⠸⠀⠀⠀⠀⠀⠀⠀⠀⣿⠄⢿⣿⣿⣿⣿⣶⣻⣿⣿⣆⠘⠛⠀⠉⠐⠻⠷⠍⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣧⠀⠀⠀⠀⠁⠀⠘⣿⣿⠇⠀⢤⣿⠿⡩⣽⣿⣿⠿⠿⣿⣭⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⠀⠘⣿⣿⣿⣿⣿⣿⣋⣛⣙⠛⠶⠶⣦⣤⣤⣤⣄⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢿⡆⠀⠀⠀⠀⣀⡤⣾⣿⣤⢀⡀⠀⠀⢀⠉⣡⣶⡶⢿⢿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⡠⢿⡿⠀⠀⢹⡽⣿⣿⣿⣿⣯⠉⠉⠀⠀⠀⠀⠀⠀⠀⠈⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣀⣴⣾⡏⠉⠀⠉⠘⢿⡿⠛⠃⡚⢥⣴⣿⢷⣴⣿⣾⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠃⠀⠀⠀⠁⢻⣿⣿⣿⣟⠇⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⣋⣿⠿⠋⠀⠀⢀⣠⠴⠋⠉⢰⢰⡀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠌⠀⠀⠀⠀⠀⠀⢙⣿⣿⡍⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡵⠾⠈⠉⠀⣀⣤⠴⠞⠋⠁⠀⠀⠀⠀⠉⠟⠿⣿⣿⣿⣿⣿⣿⠿⢿⠿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⣿⣷⣾⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⠉⠉⠉⠀⢀⣠⡄⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠘⠊⢻⣗⡈⠆⠀⠀⠀⠀⠀⠀⠀⣤
⣿⣿⣿⣿⣿⣿⡷⢿⣿⣯⠾⠋⣀⣤⡴⠞⠋⢁⣀⣀⣀⣀⢀⣀⣀⢀⣀⡀⢀⣀⣀⣀⡀⠀⠳⣀⣀⠀⠀⠀⣀⣀⣀⡀⢀⣀⡀⢀⣀⣀⠀⣀⣀⢐⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣶⣻⣀⠀⠀⠀⣠⢀⡆⢴
⣿⣿⣿⡿⠛⠉⠀⢈⣉⣤⣶⣿⣋⢁⠀⠀⠀⠘⢻⣿⣿⠛⢸⣿⣿⢸⣿⡇⢸⣿⣿⠛⠃⠀⠀⣿⣿⡇⠀⠀⣿⡿⣿⡇⢸⣿⡇⢸⣿⣿⢀⣿⣿⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢟⣿⡿⠻⠟⢁⡀⠀⠐⠶⠞
⣼⣿⣧⣤⣴⣶⣿⡿⠿⢿⣿⣿⠏⢈⡇⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⣾⣿⡇⢸⣿⣿⣤⡅⠀⠀⣿⣿⡇⠂⢸⣿⡇⣿⣷⠘⣿⣇⣿⣿⣿⢸⣿⡏⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣩⡭⠐⠉⠀⢸⠃⠀⣍⡉⣳
⣿⣿⣿⣿⣿⣿⣻⣶⣶⣾⣶⣟⡳⠋⠀⠀⠀⠀⢸⣿⣿⣀⢸⣿⣿⢹⣿⡇⢸⣿⣿⠉⠁⠀⠀⣿⣿⡇⠀⢸⣿⣧⣿⣿⢀⣿⣿⣿⡇⣿⣿⣿⡇⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⢐⣒⣒⣃⣋
⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⢸⣿⣿⣆⣽⣿⣿⣼⣿⡗⢸⣿⣿⣶⡆⠀⠀⣿⣿⣷⡆⣿⣿⠏⣿⣿⡿⢿⣿⣿⢣⢿⣿⣿⠇⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⡎⠭⠯⢽⣅
⣿⣿⣿⣿⣿⣿⣿⣷⣿⠟⠁⣥⠀⠀⠀⠀⠀⠀⠀⣰⡆⡯⣶⣾⢣⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⢶⣶⣶⣾⣶⣶⣶⣔⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢠⣇⣛⡷⢸⣇
⣿⣿⣿⣿⣿⣿⡿⣿⣿⡄⠀⠹⠆⠀⠀⠀⠀⠀⠀⠃⠁⢳⣾⣯⣴⡀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣦⣾⣿⣿⣿⣿⣿⣿⣿⣶⣤⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡶⣴⢒⣲⡶⠾⢼
⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⡇⠰⢸⣏⣿⡟⢁⢱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢾⣭⡝⣷⠚
⠀⠀⠀⣁⠀⠈⠻⢧⣀⣀⠀⠀⠀⠀⠀⡀⠸⠋⠉⠉⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⢸⡀⢀⠀⣿⣦⣍⣛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣶⣶⠿⠿⠓⠀⠀⠀⠀⠋⠁⠒⠀⢠⠿⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣾⣿⣿⣿⣶⣦⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠘⣦⣸⣟⣿⣿⣻⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡄⠾⠂⠀⣀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠙⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠉⠙⠛⠛⠋⠉⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣦⠀⢀⣿⠀⣠⣶⣦⣴⣶⣿⡻⠛⠁⢸⣦⡀⠀⠀⠀⢀⣤⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⣀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡞⠁⣿⣿⣿⣿⣿⣿⣿⣣⡄⠀⢸⣿⠇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿
⣿⣿⣿⣿⣿⣾⣡⣾⣿⣿⣿⣿⢾⣿⣧⠀⢸⡟⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣾
⣿⣿⣿⣿⣿⣿⣿⣏⢻⣿⣿⣿⣬⣿⣿⡄⠈⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⣿⣿⣿⣿⣿⡿⠟⣉⣥⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠻⠿⠻⣿⣿⣇⠀⠁⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠘⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣋⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿
⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠉⠽⣿⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣏⠁⠀⠀⠀⠉⠉⠉⣩⣶⣶⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⢠⡀⣀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⡿⠃⠀⠁⠈⠉⢿⣿⣿⣿⣿⣿⣦⣤⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⢰⣿⣻⣶⣿⣿⣿⠿⣿⣿⣿⣿⡿⠿⠛⠛⠉⠀
⣾⣿⠛⢿⣿⣿⣿⣿⡄⠀⠀⠀⢤⣶⠟⠁⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡿⠁⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⢀⣿⡿⣿⠞⠛⠁⠀⠻⠟⠋⠀⠀⠀⠀⠀⠀⠀
⣛⠛⠀⠀⢻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣤⣤⣶⣶⡶⣲⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⣰⡿⠋⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣤⣤⣤⣤⣽⣿⣧⣤⣤⣀⣀⣀⣀⣀⡀⢰⣦⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠛⠛⠻⣿⣿⣿⠿⣿⣿⡿⠛⠉⠾⠋⠀⠀⠀⠀⠀⠄⣀⡀⠀⠀⠀⢀⠀⢀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠘⣿⣧⢠⣄⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⠟⣿⣿⣿⣿⡿⣋⣀⣴⣿⣿⣿⣂⠀⠀⠀⠀⠀⡘⠛⡇⠈⠀⠁⠀⡴⡀⣿⣶⣤⡀⠀⠀⠀⠀⣸⡟⢠⣾⣷⠶⣶⣿⣟⣰⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢻⣿⡄⢻⡿⢦⠀⠀⢿⣿⣿⣿⠿⠛⢱⣻⣿⣾⣧⣍⠀⣰⣿⣿⣿⣿⠿⢃⣀⣤⣤⠄⠰⠎⠀⠀⠀⠀⠀⠀⢰⣇⢸⣿⣿⣿⣿⣦⡶⣾⣿⣇⠰⠷⠦⠚⠋⠿⣿⡌⠛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡍⠀⠀⠘⠒⠓⠀⠘⣿⣿⡿⠀⢤⣾⣿⡿⡯⣿⣿⣿⠿⢿⣯⣽⣾⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⢿⣿⣿⣿⣿⣿⡟⠻⣟⠷⢶⣤⣤⣤⣀⣀⣀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡎⣿⡀⠀⠀⠀⠀⢀⣀⡼⣿⣷⢀⣠⣀⠀⠀⣀⠉⣡⣶⠿⣿⡿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⣀⣻⣿⡇⠀⠘⣟⣿⣿⣿⣿⣿⠛⠛⠁⠀⠀⠀⠉⠉⠉⠉⠛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣇⢀⣠⣴⡞⠋⠛⠃⠘⢿⣿⠿⠷⡗⠿⣵⣾⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⠀⠀⠙⠸⣿⣿⣿⡿⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠿⢟⣿⡾⠟⠀⠀⠀⣀⣤⠞⠋⢠⢉⡄⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⡻⢾⣿⣟⠃⠀⠀⠀⠀⠀⠀⠀⠸⠿⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡧⠐⠛⠉⠀⣀⣤⠶⠛⠉⠀⠀⠀⠀⠘⠛⠺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣤⣂⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣿⡿⠛⠛⠋⠉⠀⢀⠀⡴⠞⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠊⠇⠻⡿⣍⠇⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣽⣿⣿⣫⡿⠋⠀⣀⣤⠶⠟⢋⣀⣀⣀⣀⢀⣀⣀⢀⣀⡀⢀⣀⣀⣀⡀⠀⢣⣀⣀⠀⠀⠀⣀⣀⣀⡀⢀⣀⡀⢀⣀⣀⠀⣀⣀⢀⢸⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢿⣿⣯⣴⡆⠀⠀⠀⠀⠀⢰⠈
⣿⣿⣿⣿⠿⠋⠁⠛⢋⣁⣤⡶⠛⠉⠁⠀⠀⠘⢻⣿⣿⠛⢸⣿⣿⢸⣿⡇⢸⣿⣿⠛⠃⠀⠀⣿⣿⡇⠀⠀⣿⡿⣿⡇⢸⣿⡇⢸⣿⣿⢀⣿⣿⢀⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢟⢿⣿⡻⣷⠶⠀⠈⠉⢭⣬
⣿⣿⣉⣁⣤⣴⣶⡿⠿⢿⣿⣷⠇⢳⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⣾⣿⡇⢸⣿⣿⣤⡄⠀⠀⣿⣿⡷⠀⢸⣿⡇⣿⣷⠘⣿⣇⣿⣿⣿⢸⣿⡏⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⣛⡫⠵⠂⠀⡾⠀⢐⠒⠶
⣿⣿⣿⣿⣿⣿⣻⣷⣶⣾⣶⣟⣣⠞⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢹⣿⡗⢸⣿⣿⠏⠁⠀⠀⣿⣿⡇⠀⢸⣿⣧⣿⣿⢀⣿⣿⣿⡇⣿⣿⣿⡇⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⡇⠤⠬⠽⠸
⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⢸⣿⣿⠓⢺⣿⣿⢸⣿⡇⢸⣿⣿⣶⡆⠀⠀⣿⣿⣷⡆⣿⣿⠏⣿⣿⣷⢿⣿⣿⢱⢿⣿⣿⠷⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢣⠛⣛⣛⣟
⣿⣿⣿⣿⣿⣿⣿⣷⣿⠛⢱⡉⠀⠀⠀⠀⠀⠀⠀⣦⠰⢻⣥⡴⠖⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢲⣶⣶⣶⣾⣶⣶⣶⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⣹⠰⢷⡄⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠘⣧⠀⠀⠀⠀⠀⠀⠰⠘⡇⣏⣿⣇⡀⢰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣶⣶⣦⣽⣿⣿⣿⣿⣿⣿⣿⣧⣀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣭⣭⣍⣡⣏
⣿⣿⣿⣿⣿⣿⣻⣿⣿⡛⠃⠀⠀⠀⠀⠀⠀⠀⠐⠀⠇⢻⢻⣽⣷⠛⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢸⢳⣟⡲⢶⡄
⠉⠀⣈⡁⠀⠈⠛⢀⣀⡀⠀⠀⠀⠀⠀⣀⠸⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠀⠀⠘⡀⠀⠀⢹⣦⣍⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣾⠿⠿⠂⠀⠀⠀⠉⠉⠐⠀⢀⣤⣏⣀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣶⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠀⣷⣈⣿⢿⣿⣷⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣷⠖⠀⠀⣀⠀⠀⠀⠀⠀⢀⣈⣿⣿⡿⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠋⠉⠙⠛⠛⠛⠁⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣦⡀⣰⠏⠀⣠⣾⣿⣿⣿⣿⡛⠛⠀⢸⣾⡄⠀⠀⠀⢀⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡏⢠⠾⢿⣦⣼⣯⣽⢹⣷⡀⠀⢸⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿
⣿⣿⣿⣿⣿⣇⣰⣾⣿⣿⣿⣿⢿⣿⣧⠀⢸⡟⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣾
⣿⣿⣿⣿⣿⣿⣿⡉⠛⣿⣿⣯⢼⣿⣿⡄⠈⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⠟⢋⣩⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣦⡘⠛⠿⢻⣿⣿⣇⠀⠁⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⡍⠉⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣛⣡⣴⣾⣿⣿⣿⣿⣿⣿⣿
⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠉⠛⢻⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⠿⣿⠿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠈⠉⠉⣉⣥⣶⣾⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⡀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣼⣿⣿⣿⣿⣿⣿⡿⠏⠙⠃⠀⠀⠀⢀⠉⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣷⣤⣦⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⣹⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠀
⣿⡿⠿⣿⣿⣿⠀⠀⠀⠀⠀⠠⣴⡾⠟⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡿⠁⠀⠀⠀⠀⠀⡰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⢰⣿⣿⣿⣷⣿⣿⣿⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀
⠿⠏⠀⠹⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣥⣴⣶⣶⣶⣶⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⢠⣾⠟⠹⠿⠟⠉⠁⢹⣿⡿⠇⠀⠀⠀⠀⠀⠀⠀
⣯⣤⣤⣀⣉⣿⣦⣄⣀⣀⣀⣀⣀⣀⣀⠀⣶⣄⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠋⠛⠛⠛⢿⣿⣿⠿⣿⣿⣿⠛⠃⢶⠟⠁⠀⡀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢸⣿⡇⢤⣀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣁⣤⣿⣿⣿⣗⡀⠀⠀⠀⠀⣀⢟⠟⠉⠁⠈⠀⣴⠇⣶⣶⣤⡀⠀⠀⠀⠈⢹⡿⢀⣶⣯⡴⣾⣿⣿⣠⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡜⣿⣷⠈⢿⡿⣦⠀⠀⢿⣿⣿⣿⣿⠿⠿⣿⣿⣶⣿⣌⡁⢀⣶⣿⣿⣿⡿⢟⣠⣤⣤⡀⢶⡿⠁⠀⠀⠀⠀⠀⠀⣿⢹⣿⣿⣿⣶⣦⡴⣶⣿⣇⠸⢷⠯⠚⠋⢽⣿⠝⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢿⡉⠀⠊⠛⠒⠒⠀⠘⣿⣿⡿⠑⠠⠾⡿⣿⠿⢿⣿⣷⠿⠿⣟⣯⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⣠⡟⠀⢿⣿⣿⣿⣿⣿⡻⠿⠿⠷⣦⣤⣀⣀⣀⡀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣧⠀⠀⠀⠀⠀⠀⣀⣸⣿⣷⣄⣀⡀⠀⠀⣀⠈⣡⣶⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⢀⣼⣿⡇⠀⠘⣿⣿⣿⣿⣿⣿⠖⠛⠃⠀⠀⠉⠉⠙⠛⠛⠛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡸⣿⡇⠀⣀⣴⠖⠛⠿⠆⠘⢿⣿⡿⠿⠟⢛⣁⣾⣿⣷⣼⣾⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠈⡿⠀⠀⠀⠹⢸⣿⣿⣿⣿⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡿⢿⣯⡿⠟⠀⠀⠀⢀⣠⠞⠛⢢⣖⡇⠑⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠃⠀⠀⠀⠀⠀⠿⡿⣿⣟⢇⠀⠀⠀⠀⠀⠀⠀⠰⠾⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⡅⠶⠛⠋⠀⢀⣠⡴⠞⠋⠁⠀⠀⠀⠙⠟⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠉⢷⣷⣿⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⡿⠟⠛⠛⠉⠉⠀⢠⣤⠶⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠛⠿⠟⠟⠛⠋⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢯⢿⣿⡏⢇⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣟⣿⣟⣿⣫⡿⠇⠀⣀⣠⡴⠞⢋⣀⣀⣀⣀⢀⣀⣀⢀⣀⡀⢀⣀⣀⣀⡀⠀⢆⣀⣀⠀⠀⠀⣀⣀⣀⡀⢀⣀⡀⢀⣀⣀⠀⣀⣀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢶⣷⣟⣤⡆⠀⠀⠀⠀⠀⠠⠄
⣿⣿⣿⣿⠿⠛⠱⠟⠛⣉⣤⡶⢟⠋⠁⠀⠀⠘⢻⣿⣿⠛⢸⣿⣿⢸⣿⡇⢸⣿⣿⠛⠃⠀⠈⣿⣿⡇⠀⠀⣿⡿⣿⡇⢸⣿⡇⢸⣿⣿⢀⣿⣿⠠⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⢿⣿⣿⣦⡴⠀⠀⢋⣈⣅
⣿⣟⣋⢁⣀⣤⣶⡶⠿⢿⣿⣶⠂⣆⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⣾⣿⡇⢸⣿⣿⣤⡄⠀⠀⣿⣿⡧⠀⢸⣿⡇⣿⣷⠘⣿⣇⣿⣿⣿⢸⣿⡏⡮⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣾⡿⡥⠆⠀⣶⠀⠠⠴⢦
⣿⣿⣿⣿⣿⣿⣻⣷⣶⣾⣾⣟⣣⠞⠀⠀⠀⠀⢹⣿⣿⠀⢸⣿⣿⢹⣿⡇⢸⣿⣿⠏⠁⠀⠀⣿⣿⡇⠀⢸⣿⣧⣿⣿⢀⣿⣿⣿⡇⣿⣿⣿⡇⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠉⠁⠀⠀⠀⡇⣠⣈⣻⠠
⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⢸⣿⣿⠂⢼⣿⣿⢸⣿⣧⢸⣿⣿⣶⡆⠀⠀⣿⣿⣷⡆⣿⣿⠏⣿⣿⣿⢿⣿⣿⢳⢿⣿⣿⠧⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢇⠶⣒⣒⣶
⣿⣿⣿⣿⣿⣿⣿⣷⣿⠛⣧⠁⠀⠀⠀⠀⠀⠀⢐⣆⠶⢟⣃⣦⢰⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣶⣶⣶⣾⣶⣶⣶⣾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠹⠱⣭⡍⣽
⣿⣿⣿⣿⣿⣿⣿⣿⡇⠆⢻⡄⠀⠀⠀⠀⠀⠀⠀⢹⢸⣙⣿⡅⡀⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣠⣈⣹⣿⣿⣿⣿⣿⣿⣿⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡂⣛⣛⣚⣃⣻
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠃⠁⠀⠀⠀⠀⠀⠀⠀⠈⡌⣿⣾⡿⠷⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⢱⠧⡶⠶⢭⡅
⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣸⠋⠁⠀⠁⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⢇⠀⠀⠈⣷⣍⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣤⡶⠿⠶⠀⠀⠘⠀⠒⠒⣦⣄⣠⣴⣘⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⡀⠀⠀⠀⠀⠀⠘⠀⠘⠇⢸⡄⢻⡿⣿⣷⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠴⠀⠀⣀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⠀⣠⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣠⣤⣴⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠟⠋⠛⠻⠿⠟⠛⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⢰⠟⠀⢀⠀⠀⢰⣿⣿⢿⡟⠉⠀⣴⣿⡄⠀⠀⠀⢀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠎⣠⠞⠁⠀⠀⠉⣿⣏⣟⣴⠀⠀⣿⣿⡇⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿
⣀⠀⠀⢀⣥⣶⣾⡀⠀⠀⢻⣿⣯⣿⣆⠀⣿⡏⠁⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣾
⣿⣷⣤⠛⠛⠛⠛⠁⠀⠀⠀⠁⣿⣿⣿⡀⠸⡇⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠿⢛⣻⣷⣿⣿⣿⣿
⣿⣿⣿⣷⣶⠖⠒⠋⠀⠀⠀⠀⢿⡻⣿⡀⠀⠁⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠙⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⢸⡈⣿⣿⣿⣟⣉⣤⣶⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣇⠀⠀⠀⠂⠀⠀⠀⠀⠹⡇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠉⠉⢉⣩⣴⣶⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠀⠁⠀⠀⠈⢻⣿⣿⣿⣿⣿⣷⣴⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉
⣿⣿⣿⣿⠉⠁⠀⠀⠀⠀⠀⢠⣴⡾⠟⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⣠⣾⣿⣼⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀
⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣧⣴⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀
⣩⣿⣿⣟⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣶⡀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠋⠛⠛⠻⣿⣿⣿⢿⣿⣿⣿⠛⠀⣾⠟⠉⣛⢿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⢿⣿⠀⣄⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣋⣤⣼⣿⣿⣿⣷⠀⠀⠀⠀⠀⢸⢻⡿⠛⠋⠉⠀⣴⣣⣤⣀⠁⠀⠀⠀⠈⢁⣿⠟⣳⣖⣀⣤⣶⣦⡄⣠
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢸⣿⡇⠹⣿⣶⡄⠀⠀⢿⣿⣿⣿⣿⣿⣟⣿⣿⣷⣾⣦⣍⢀⣸⣿⣿⣿⡿⠿⣋⣤⣤⣄⠸⣶⡟⠛⠁⠀⠀⠀⠀⠀⢹⣿⣿⣧⣤⣄⡀⣤⣼⣧⠈⣿⡟⠡⠿⡛⢻⠛⢿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡾⣟⠋⠐⢿⡿⠍⠤⠀⠘⣿⣿⡟⠓⠨⠉⣛⠿⡿⢿⣿⣿⣿⠿⢿⣻⣿⣿⣿⣿⣿⣿⣿⣶⠈⠀⠀⠀⠀⠀⠀⠀⣤⠈⣿⣿⣿⣿⣿⣧⣀⡽⡿⣦⣀⣀⠀⠀⠀⠉⠁⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡄⠀⠀⠀⠀⠀⠀⠀⣙⣿⣷⣄⣠⣤⢀⠀⣀⣀⢉⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⢠⣾⡟⠀⠸⣿⣿⣿⣿⣿⣷⣤⠤⠀⠉⠙⠛⠛⠿⠶⠶⠶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢹⣷⠀⠀⢀⣤⠴⢾⡯⠅⠙⢿⣿⣿⣿⠿⣿⢫⣋⣻⣿⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⢈⣿⠃⠀⠀⢻⢹⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣶⣟⣿⠟⠀⠀⠀⠀⣠⠾⠛⢧⣷⡶⣄⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⢈⡟⠀⠀⠀⠀⠀⢿⣻⣿⣿⣌⠀⠀⠀⠀⠀⠀⠀⢠⣤⣴
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣛⢠⡴⠿⠋⠀⠀⣀⣤⠶⠛⠁⠀⠀⠀⠛⡿⠼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠒⣧⣯⣿⡌⡀⠀⠀⠀⠀⠀⠀⠈⠉⠉
⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⡿⠿⠿⠟⠛⠉⠀⣀⣠⡴⠖⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⡰⠀⠐⠻⠿⠻⠟⠛⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠆⠀⠀⠀⠀⠀⠀⠀⣨⣟⣿⣿⡶⣆⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣟⣿⢿⡿⣿⡷⠀⠀⠀⣀⣤⠶⢂⣉⣁⣀⣀⢀⣀⣀⢀⣀⡀⢀⣀⣀⣀⡃⠘⣆⣀⣀⠀⠀⠀⣀⣀⣀⡀⢀⣀⡀⢀⣀⣀⠀⣀⣀⠀⣠⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣬⣭⣵⢘⣀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⡿⠋⡽⠿⠟⠋⣠⣴⠾⠛⠉⠀⠀⠘⢻⣿⣿⠛⢸⣿⣿⢸⣿⡇⢸⣿⣿⠟⠃⠀⠘⣿⣿⡇⠀⠀⣿⡿⣿⡇⢸⣿⡇⢸⣿⣿⢀⣿⣿⢨⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠘⣿⣿⣿⢿⣄⣄⠀⠀⠤⠤⠇
⣿⠟⠛⠁⢀⣀⣤⡴⠾⢿⡟⣴⢣⡀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⣾⣿⡇⢸⣿⣿⣼⡀⠀⠀⣿⣿⡇⠀⢸⣿⡇⣿⣷⠘⣿⣇⣿⣿⣿⢸⣿⡏⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣽⡿⢏⡙⠁⣠⠠⢈⣙⣛
⣿⣿⣿⣿⣿⣿⣻⣷⣶⣶⣶⣟⣃⠇⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢹⣿⡇⢸⣿⣿⡍⠁⠀⠀⣿⣿⡏⠀⣸⣿⣧⣿⣿⠀⣿⣿⣿⡇⣿⣿⣿⡇⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⠳⠊⠉⠀⠀⡟⠀⠸⠦⢉
⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⢸⣿⣿⣀⣸⣿⣿⢸⣿⣇⢸⣿⣿⣶⡆⠀⠀⣿⣿⣷⡆⣿⣿⠏⣿⣿⣿⢿⣿⣿⢱⢿⣿⣿⢏⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣯⣿⣭⣬
⣿⣿⣿⣿⣿⣿⣿⣷⣽⢻⡇⠁⠀⠀⠀⠀⠀⠀⢷⢐⣦⠴⠔⣇⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢲⣾⣶⣶⣶⣾⣶⣶⣶⣾⣖⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢼⢂⡖⠒⢲
⣿⣿⣿⣿⣿⣿⣿⣿⢡⢸⣇⠀⠀⠀⠀⠀⠀⠀⡞⡇⠇⢿⣽⠁⠘⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⣀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡅⠼⡬⢭⠇⢿
⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⡇⢡⢸⣾⣯⣗⣂⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢦⡟⣓⣒⡒⠓
⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣘⠋⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣄⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠈⠃⢠⡀⢹⡀⢀⠀⢻⣮⣙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡴⠾⠿⠆⠀⠀⠀⠀⠒⠲⢤⣀⣠⣴⣝⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⠀⠀⠀⠀⠀⠀⠁⠀⠿⠈⣦⢘⣿⣿⣷⡾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠆⠀⠀⡀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⠀⣰⠆⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣴⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠐⠻⠛⠙⠻⠿⠿⠻⠁⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⡖⠁⡀⠀⠀⠀⠹⣿⣿⢿⡟⠉⠀⣰⣿⣆⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠊⠀⠀⠀⠀⢶⣶⣧⣋⣴⠀⠀⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣉
⠀⠀⣠⣾⣇⠀⠀⠀⠀⠈⢻⣷⣯⣿⣆⠀⢿⡏⠁⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣾⣿
⣆⣀⢉⡉⠉⠉⠉⠀⠀⠀⢸⡏⣿⣿⣿⠀⠘⡇⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⠿⢋⣩⣿⣿⣿⣿⣿⣿
⣿⣿⣏⠉⠀⠀⠀⡀⠀⠀⠈⠐⢿⣿⢹⠀⠀⠁⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡎⠉⠁⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⢰⡇⣿⡿⢿⣿⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡀⠀⠀⠀⠐⠀⠀⠀⠀⠈⠿⣭⡅⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡿⠿⢿⠿⢿⡿⣿⣿⣿⣿⡇⠀⠀⠀⠈⠉⠉⣉⣴⣶⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠹⣿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣶⣶⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠙⣠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠋⠉⠀
⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢠⣴⡾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠋⠁⠀⠀⠀⠀⠀
⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣯⣤⣶⣶⣲⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀
⣻⣟⣋⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣦⡀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠙⠛⠛⠻⢿⣿⣿⠿⣿⣿⣿⡿⠀⢰⠿⠛⡛⢻⣿⣿⡏⠁⠈⠙⠁⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⣿⣿⠠⣄⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣯⣠⣴⣿⣿⣿⣿⡆⠀⠀⠀⠀⢈⣿⢿⠟⠛⠉⠁⢠⢞⣤⣀⠀⠀⠀⠀⠀⠀⣰⡤⢠⣤⣀⣄⣰⣶⡄⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢿⣿⡆⢻⣿⣶⡄⠀⠀⢿⣿⣿⣿⣿⣿⣛⣟⣿⣿⣾⣧⣬⢁⣀⣿⣿⣿⣿⠿⢿⣡⣤⣤⡌⢿⣿⠗⠁⠀⠀⠀⠀⠀⠸⣿⣿⣿⣠⣄⡀⣠⣴⣿⠀⣻⡟⠁⠿⠟⣿⠟⢿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡿⠇⠠⣿⣿⣯⣤⣀⠘⣿⣿⣿⡿⠟⠃⢛⡿⣿⠿⢿⣿⣿⠿⠿⣿⣯⣿⣿⣿⣿⣿⣿⣷⡌⠀⠀⠀⠀⠀⠀⠀⢀⡀⢿⣿⣿⣿⣿⣿⡀⣨⡿⣦⣀⠀⠀⠀⠀⠈⠉⠐
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡀⠀⠈⠉⠉⠀⠀⠀⢘⣿⣿⣦⣀⣀⣀⡀⢀⣀⢈⣡⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⣴⣿⠀⠘⣿⣿⣿⣿⣿⣷⣀⡤⠄⠉⠛⠛⠷⠶⠶⣦⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢻⣧⠀⠀⢀⣠⡤⢶⣯⠅⠙⢿⣿⣿⣿⠿⣷⢛⣛⣿⣿⣷⣼⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠀⠀⢹⡿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣶⣺⣿⠇⠀⠀⠀⠀⣀⡴⠟⢯⣵⠾⠇⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠁⢻⣿⣿⣿⣭⠃⠀⠀⠀⠀⠀⠀⢀⣀⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⢈⣵⠿⠛⠁⠀⢀⣤⡴⠚⠉⠀⠀⠀⠓⡞⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠰⢯⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⠿⠟⠛⠀⢀⣠⣤⠶⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⣰⠀⠀⠛⠿⠿⠿⠛⠻⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⡘⠀⠀⠀⠀⠀⠀⠀⢈⣿⢿⣿⡷⣄⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⢿⣿⣿⡿⣿⣷⠀⠀⠀⢁⣠⣴⢄⣛⣁⣀⣀⢀⣀⣀⢀⣀⡀⢀⣀⣀⣀⡃⠸⡆⣀⣀⠀⠀⠀⣀⣀⣀⡀⢀⣀⡀⢀⣀⣀⠀⣀⣀⠀⢐⣧⠁⠀⠀⠀⠀⠀⠀⠀⠈⠛⣘⣟⣳⡜⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⡿⠛⣽⡿⠾⠋⣁⣤⡶⠟⠋⠁⠀⠘⢻⣿⣿⠛⢸⣿⣿⢸⣿⡇⢸⣿⣿⠛⠃⠀⠘⣿⣿⡇⠀⠀⣿⡿⣿⡇⢸⣿⡇⢸⣿⣿⢀⣿⣿⢀⡺⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠹⣿⣿⣿⣿⣀⢀⠀⠀⣠⢠⠇
⣿⠿⠛⠩⢀⣀⣠⡴⠶⢿⡟⡱⢂⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⣾⣿⡇⢸⣿⣿⣤⡄⠀⠀⣿⣿⡇⠀⢸⣿⡇⣿⣷⠘⣿⣇⣿⣿⣿⢸⣿⡏⣾⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣛⣿⡿⠛⠋⢁⠀⠐⢐⠒
⣿⣶⣶⣿⣿⣿⣿⣷⣶⣶⣶⣟⣻⠆⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢹⣿⡇⢸⣿⣿⡍⠁⠀⠀⣿⣿⡏⠀⣸⣿⣧⣿⣿⠀⣿⣿⣿⡇⣿⣿⣿⡇⡛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⢽⠗⠚⠁⠀⠾⠀⢨⣭⠙
⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⢸⣿⣿⣀⢸⣿⣿⢸⣿⣇⢸⣿⣿⣶⡆⠀⠀⣿⣿⣷⡆⣿⣿⠏⣿⣿⣷⢻⣿⣿⢳⢿⣿⣿⢷⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢚⣲⣒⣀
⣿⣿⣿⣿⣿⣿⣿⣷⣹⢻⡅⠁⠀⠀⠀⠀⠀⠀⣆⠰⣂⣬⠕⡆⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠶⣾⣶⣶⣶⣾⣶⣶⣶⣾⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣥⡏⡭⠭⢿
⣿⣿⣿⣿⣿⣿⣿⡿⠡⢸⡇⠀⠀⠀⠀⠀⠀⠀⠸⡌⡋⣶⣾⠡⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⡀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢸⣘⣛⡗⣼
⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⢻⠀⠀⠀⠀⠀⠀⠀⠀⢇⢰⣾⣿⡵⣂⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⡶⠶⠴⠶⠦
⠀⠀⢀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⢀⣤⡘⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣶⣶⣤⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠈⠀⡆⠸⣇⠡⡀⢸⣷⣝⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠶⠶⠟⠂⠀⠀⠀⠉⠉⠠⠀⢀⣀⠊⠘⢿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠹⠆⢷⡄⣻⣿⣿⣶⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠐⠂⠀⢀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣿⣿⣿⠁⢠⡇⠀⠀⠀⠀⠀⢀⣀⣠⣤⣴⣶⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠉⠋⠻⠿⢛⠃⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⡟⠉⠀⢰⣿⣷⠀⠀⠀⢀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⣿⣿⣯⣴⠀⠀⣼⣿⣿⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟
⢀⣴⣿⠤⠀⠀⢠⣿⣿⣿⣿⣿⣯⣿⣆⠀⢿⡏⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣾⣿
⣥⣠⣤⣤⣀⡀⠘⢿⣿⣿⣿⡏⣿⣿⣿⡄⠘⡇⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⠟⣻⣿⣿⣿⣿⣿⣿
⣿⣿⠀⠘⠿⣿⠀⠀⢿⣿⣿⣇⣿⣿⣿⡇⠀⠁⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢶⠟⠉⠹⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⢀⣷⢸⣿⠿⣿⣧⣴⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡀⠀⠀⠙⠀⠀⠈⠻⣿⣿⣏⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡟⠛⠿⠻⡿⢿⣿⣿⣿⣿⣀⡀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠘⢿⡌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣿⠄⠉⠁⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⣠⣾⣇⣽⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠉⠉
⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⡿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⡿⠋⠀⠀⠀⠀⣀⣐⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⠿⣿⡿⠏⠀⠀⠀⠀⠀⠀
⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⣿⣿⣿⢿⠟⠁⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀
⢿⣿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⠉⠉⠙⠛⠻⣿⣿⣿⣿⣿⣿⣿⠃⠠⡾⠟⠉⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⡀⣿⣿⠀⣄⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣥⣤⣾⣿⣿⣿⣧⠀⠀⠀⢀⣨⣹⣿⠿⠛⠋⠉⠀⣼⢧⣀⠀⠀⠁⠀⠀⠀⢠⣤⢀⣠⠄⣀⣲⣴⣤⢀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢺⣿⡇⢻⣿⣶⡄⠀⠀⢸⣿⣿⣿⣿⣿⣿⣟⣿⣿⣷⣿⣤⡁⢀⣰⣿⣿⣿⡿⢿⣣⣤⣤⡤⢻⣿⡿⠈⠀⠀⠀⠀⠀⠀⣿⣿⣿⣀⣄⡀⢀⣠⣿⠁⠺⡟⠉⣽⠿⢿⣿⣾
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣧⣤⣿⣿⣯⠤⠀⠀⢿⣿⣿⣿⠿⡋⠁⢹⣿⡿⣿⣿⣿⠿⠿⣿⣯⣵⣿⣿⣿⣿⣿⣿⡦⠋⠀⠀⠀⠀⠀⠀⠀⡀⢸⣿⣿⣿⣿⣿⡄⣈⡿⣧⣀⠁⠀⠀⠀⠈⠙⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⠙⠻⠷⠉⠻⠖⠂⠀⠈⣻⣿⣷⣄⣀⠀⠁⠈⣁⣈⢉⣴⡾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⣠⣾⡇⠀⣿⣿⣿⣿⣿⣷⣍⣀⠈⠙⠛⠳⠶⠶⣦⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⡆⠀⠀⢀⣀⣤⣶⣾⡉⠈⠻⣿⣿⣿⠿⢿⣿⣿⣿⣷⣷⣤⣷⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⢻⣿⠀⠀⠸⡾⣟⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢹⣿⣤⢾⣿⡇⠀⠀⠀⠀⢀⡤⠟⠻⣠⡴⠟⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⢀⣿⠇⠀⠀⠀⠐⢻⣿⣿⣿⣯⠃⠀⠀⠀⠀⠀⠀⠀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⢿⢈⣥⡿⠟⠉⠀⠀⣠⣴⠖⠋⠀⠀⠀⠑⣾⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠠⢹⣽⣿⣎⠂⠀⠀⠀⠀⠀⠀⠀⠛⠛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠷⠞⠛⠈⠀⣀⣤⡴⠞⠛⠉⠀⠀⠀⠀⠀⠀⠀⣰⠀⠐⠛⠿⠿⠿⠿⠿⠿⠿⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡼⠀⠀⠀⠀⠀⠀⠀⠀⢻⢿⣷⣾⣀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⠿⣿⣿⡿⣿⡯⠀⠀⠀⢀⣠⣴⢀⣛⣋⣀⣀⢀⣀⣀⢀⣀⡀⢀⣀⣀⣀⡁⠐⣆⣀⣀⠀⠀⠀⣀⣀⣀⡀⢀⣀⡀⢀⣀⣀⠀⣀⣀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠏⢈⣻⣻⡌⠇⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⢟⣿⣿⠶⠋⣁⣤⡶⠾⠛⠉⠀⠘⢻⣿⣿⠛⢸⣿⣿⢸⣿⡇⢸⣿⣿⡛⠃⠀⠘⣿⣿⡇⠀⠀⣿⡿⣿⡇⢸⣿⡇⢸⣿⣿⢀⣿⣿⠀⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⣿⣿⣷⣾⣂⠀⠀⠀⢀⡀⣒
⣿⠿⠟⠩⠀⢀⣀⣤⠶⢿⡟⠥⡃⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⣾⣿⡇⢸⣿⣿⣤⡄⠀⠀⣿⣿⣇⠀⢸⣿⡇⣿⣷⠘⣿⣇⣿⣿⣿⢸⣿⡏⢢⠍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣿⣯⠿⠟⠃⠀⠨⠤⠴
⣷⣶⣴⣾⣿⣿⡻⣶⣶⣶⣶⣟⡻⠂⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢹⣿⡇⢸⣿⣿⡋⠁⠀⠀⣿⣿⡏⠀⣸⣿⣧⣿⣿⠀⣿⣿⣿⡇⣿⣿⣿⡇⡛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣫⡯⠱⠊⠀⢸⠇⢀⣞⡛
⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢸⣿⡧⢸⣿⣿⣶⡆⠀⠀⣿⣿⣷⡆⣿⣿⠏⣿⣿⣷⢿⣿⣿⢳⢿⣿⣿⢧⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠘⠰⠶⠤⠁
⣿⣿⣿⣿⣿⣿⣿⣷⣹⣻⠍⠁⠀⠀⠀⠀⠀⠀⣆⢠⡄⣙⡀⡆⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠶⣾⣶⣶⣶⣾⣶⣶⣶⣾⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⡞⣭⣭⣿
⣿⣿⣿⣿⣿⣿⣿⡿⠁⢸⡆⠀⠀⠀⠀⠀⠀⠀⢹⡜⠯⣷⣞⢃⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢱⣓⠷⣶⢸
⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⣷⠀⠀⠀⠀⠀⠀⠀⠀⡧⢩⣽⣾⣤⡀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣌⣬⡭⢭⣭⣬
⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣷⣶⣶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠘⡇⠸⣧⢠⡀⢸⣿⣏⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣤⠶⠾⠇⠀⠀⠠⠟⠻⠲⢄⡴⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠙⠂⣷⣀⣿⣿⣿⣆⣿⡿⠟⠻⣿⣿⣿⣿⣿⣿⣿⣿
⣠⣶⣦⣄⡀⠀⠀⠀⠀⠀⢀⣉⠀⢴⣧⣠⠀⢀⣾⠀⠀⠀⠀⠀⠀⣰⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠉⠛⣛⠻⠇⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣀⡠⣶⣦⣴⣾⣿⣠⡍⠉⠀⢠⣿⣿⡇⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⢀⠀⣘⣿⣿⣿⣿⣿⣿⣿
⠿⣿⣿⣿⣿⣿⣷⣼⣿⣿⣿⣿⣿⣿⡆⠀⢸⣿⣿⠇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⢸⣿⠁⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⡆⠀⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡉⠠⠀⣘⣻⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠿⢛⣿⣷⣾⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠁⠀⢸⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⢠⣇⢹⣿⠛⣽⣯⣤⣶⣿⣿⣿⣿⣿⣿
⣿⣿⡿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⠏⠁⠈⠁⠙⠿⣿⣿⣿⣿⣤⣄⣀⣀⣀⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⢠⣼⣿⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣯⠀⠀⠀⠉⠙⠻⢿⣿⣿⣿⡇⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠈⢀⡀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⣾⣿⣿⣇⣽⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛
⣿⣿⣿⣇⡀⠀⠀⠀⠀⠀⠈⢉⣽⣷⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⠿⠁⠀⣀⣠⣄⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⢰⣿⣿⣿⡿⠟⠉⠉⠙⠋⠋⠉⠉⠀⠀⠀⠀
⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⢸⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠛⢿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⡀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠻⣿⣿⣷⠀⠈⠉⠉⠋⠛⣿⣿⣿⣿⣿⣿⠄⢀⣺⡟⠩⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣿⣷⣶⣶⠀⢿⣿⠀⣄⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⠛⠻⠿⠷⣶⣿⣿⣿⣿⣿⠆⠀⠀⣀⣤⣿⣿⣿⠟⠁⠀⠀⠘⣋⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⡀⠀⡀⠄⢠⣰
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢸⣿⡇⢹⣿⣦⣄⠀⠀⠀⣿⣿⣿⣿⣿⣿⡟⢇⣾⣿⣿⣿⣷⣦⣤⣴⣿⣿⣿⠿⣛⣭⣤⣶⣶⡿⣿⣿⠋⠉⠀⠀⠀⠀⠀⣸⣿⣆⣀⡀⠀⣀⣸⡏⠀⠂⠓⢉⣿⣿⣴⣻
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡸⣿⣿⣀⣿⣿⣿⣷⣄⣠⠸⣿⣿⣿⣿⠏⠀⠐⡿⣿⠿⢿⣿⠿⠟⣛⣻⣿⣶⣿⣿⣿⣿⣿⣿⣧⠄⠉⠀⠀⠀⠀⠀⢀⡀⣿⣿⣿⣿⣿⣇⠁⢸⣷⡀⠀⠀⠈⠀⠀⠀⠋
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⢿⣿⣿⣿⣿⡿⠿⠃⠀⠘⣿⣿⣿⣥⣀⠀⣀⣀⣠⣤⣀⢾⠿⢿⣟⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⣠⣾⠀⢹⣿⣿⣿⣿⣿⣆⠁⢈⠙⠳⠶⢦⣤⣤⣄⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢸⠀⠈⠉⠉⢁⣠⣤⣖⠂⠀⠈⢿⣿⣿⣿⣷⢘⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠠⣿⡟⠀⠀⢯⢿⣿⣿⣿⣿⡍⠁⠀⠀⠀⠀⠀⠀⠉⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣆⣠⣴⣾⡿⠁⠈⠉⠀⠀⣀⠔⠛⢯⠈⠀⠪⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠁⠀⠀⠘⠜⢿⣿⣿⡿⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠘⣋⣿⠿⠋⠀⠀⠀⣀⡴⠞⠉⠀⠀⠀⠀⠀⠰⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⢀⡸⠃⠀⠀⠀⠀⠀⠘⠘⣿⣯⠣⠀⠀⠀⠀⠀⠀⠀⠺⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠾⠈⠉⠀⣀⣠⡴⠾⠛⠁⠀⠀⠀⠀⠀⠀⢀⠄⡀⠀⠘⠛⠿⠿⠟⠛⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠇⠀⠀⠀⠀⠀⠀⠀⠛⣿⣿⡅⠆⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠉⠁⠀⢀⣠⢀⣖⣛⣉⣁⢀⣀⣀⢀⣀⡀⠀⣀⣀⣀⣸⠀⠘⣂⣀⠀⠀⠀⣀⣀⣀⡀⢀⣀⡀⢀⣀⣀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⢻⣯⡍⢇⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣷⠾⣿⣿⣵⠟⠁⣀⣤⡴⠾⠋⠈⠘⢻⣿⣿⠛⢸⣿⣿⢸⣿⡇⢸⣿⣿⠛⠋⠀⠀⣿⣿⣇⠀⠀⣿⡿⣿⡇⢸⣿⡇⢸⣿⣿⢀⣿⣿⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡴⢿⣟⣛⣨⡤⠀⠀⠀⠀⠀⢀
⣿⣿⠿⢻⠥⠘⢉⣉⠠⠴⠿⠉⠃⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⣾⣿⡇⢸⣿⣿⣬⡅⠀⠀⣿⣿⣟⡀⢸⣿⡇⣿⣷⠘⣿⣇⣿⣿⣿⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠘⢿⣷⣖⢲⣄⢠⠀⠐⠒⣚
⣧⣤⣤⣴⣶⣿⡻⣷⣶⣷⣶⣟⣡⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢹⣿⡇⢸⣿⣿⠩⠁⠀⠀⣿⣿⡏⠀⢸⣿⣧⣿⣿⠀⣿⣿⣿⡇⣿⣾⣿⡇⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠾⢟⡡⠍⠀⡦⠀⢠⢬
⣿⣿⣿⣿⣿⣿⣷⡽⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢸⣿⡇⢸⣿⣿⣶⡆⠀⠀⣿⣿⣶⡆⣿⣿⠏⢿⣿⡇⢿⣿⣿⢳⢿⣿⣿⢇⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⠀⠀⠀⠀⠈⠛⠋⠀⠀⠀⠈⢁⣀⣚⣒
⣿⣿⣿⣿⣿⣿⣿⡷⣹⣿⠁⠁⠀⠀⠀⠀⠀⠀⡀⢂⡒⠲⠄⡄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⣶⣶⣶⣶⣦⣶⣶⣶⣾⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢠⠴⠶⠶
⣿⣿⣿⣿⣿⣿⣿⣷⠋⣾⠀⠀⠀⠀⠀⠀⠀⠀⢻⡸⡗⣋⣡⣧⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⣈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣟⣃⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠗⡍⣼⣉⠋
⣿⣿⣿⣿⣿⣿⣿⡟⠛⢻⡇⠀⠀⠀⠀⠀⠀⠀⠈⡇⣇⣻⣞⢀⡈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣶⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⣒⢲⠚⠘
⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⡀⠀⠀⠀⠀⠀⢹⠀⢿⡄⢦⠀⢿⣿⣙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣤⣶⡾⠧⠀⠀⠄⠘⠻⠖⢀⡴⠄⣀⣀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣠⣤⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠈⠓⢸⣇⣸⣿⣿⣷⣼⣿⠿⠛⢿⣿⣿⣿⣿⣿⣿⣿
⠁⠴⠂⢀⣀⣀⣀⠀⠀⠀⢀⠁⠘⢿⣿⣷⠆⠀⣴⠀⠀⠀⠀⠀⠀⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠙⣻⡿⠿⠆⠀⠈⣿⣿⣿⣿⣿⣿⣿
⠁⠐⣿⣿⣿⣿⣿⣷⣦⣰⣿⣿⣆⣬⠉⠀⠀⣾⣿⡄⠀⠀⠀⢠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⣀⣀⣹⣿⣿⣿⣿⣿⣿
⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣆⠀⢸⣿⣿⡇⠀⠀⠀⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣶⣿⣽⣿⣿⣿⣿⣿⣿⣿⣷⣿⣾⣿⡀⠸⣿⡇⠀⠀⠀⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣷
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⡇⠀⢻⡆⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡤⠃⠀⣠⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡿⠟⣋⣽⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⠀⠈⠃⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⡇⠀⠀⠀⡿⠿⠿⣿⣟⣭⣽⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⣾⡈⣿⢛⣁⣿⣷⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⠿⡿⣿⣿⣿⣿⣿⣿⣿⣧⠻⣿⣿⠀⠁⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⠀⠀⠀⠈⠛⠻⣿⣿⣿⣷⣶⣦⣤⣤⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠻⣇⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣷⢐⠋⠀⠉⠉⠉⠙⠻⢿⣿⡇⠘⠉⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠇⠀⠤⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⢀⣤⣤⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛
⣿⣿⣿⣶⡥⠀⠀⠀⠀⠀⠀⢀⣠⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⡟⢁⣀⣠⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠀⠀⠀⠀
⠿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀
⠀⢸⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⢠⡄⠠⣦⡄⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⢙⣿⣿⣧⡀⠀⠀⠈⠉⢹⣿⣿⣿⣿⠿⢷⠄⢺⡿⠽⢿⡅⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀
⣶⣾⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣾⣿⡀⢿⣿⡀⣄⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⡿⣻⣿⢏⣁⡉⠋⠛⢻⣿⣿⣿⣿⣿⡷⠀⠀⠀⣤⣾⣿⣿⡿⠉⠁⠀⠀⠙⡅⠀⠈⠈⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⢤⣴
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢸⣿⣇⢹⣿⣶⣄⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⠙⢰⣿⣿⣿⣿⣿⣶⣶⣾⣿⡿⠿⣛⣭⣶⣶⣿⣿⢻⣿⡟⠋⠀⠀⠀⠀⠀⢀⣿⣦⣀⡀⠀⠀⣰⣟⠁⠄⠰⠂⣻⣿⣴⢻
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡞⣿⣿⣀⣿⣿⣿⣷⣄⣀⠈⢿⣿⣿⣿⣏⠉⠀⠸⢿⡿⠟⠿⠿⢛⣛⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⡶⠊⠀⠀⠀⠀⠀⠀⡀⢿⣿⣿⣿⣿⣧⠉⠹⣿⡀⠀⠀⠀⠁⠐⠶⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢻⠿⡿⣿⣿⣿⡿⠛⠁⠀⠈⢿⣿⣿⣿⣄⡀⠀⢀⣠⣤⣤⣴⣿⠛⣛⣿⣹⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⣀⣼⡇⠘⣿⣿⣿⣿⣿⣧⠋⠈⠙⠷⢦⣤⣤⣄⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠉⠀⠉⠁⢀⣀⣠⡴⠒⠀⠈⠻⣿⣿⣿⣿⣇⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⢹⣻⣿⣿⣿⣿⡏⠉⠀⠀⠀⠀⠈⠉⠉⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣀⣀⣤⣾⣿⠉⠈⠉⠁⠀⢀⡠⠛⢻⡏⠴⠄⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⢻⠇⠀⠀⠀⠡⢿⣿⣿⣿⠾⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠜⢋⣿⡾⠟⠁⠀⠀⣀⣠⠴⠋⠀⠀⠀⠀⠀⠀⠿⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠘⡝⣿⣟⡳⠀⠀⠀⠀⠀⠀⠀⢲⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⠶⠎⠋⠁⣀⣠⣤⠶⠟⠋⠀⠀⠀⠀⠀⠀⠀⡄⢀⠀⠀⠛⠿⠿⠿⠟⠉⠉⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠸⣿⣾⣇⠤⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠉⠉⠉⠀⠀⣀⢀⣴⣛⣋⣉⢀⣀⣀⢀⣀⡀⢀⣀⣀⣀⣰⠁⠀⣃⣀⡀⠀⠀⣀⣀⣀⡀⢀⣀⡀⢀⣀⣀⠀⣀⣀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⣛⢻⣟⣒⢦⠐⠀⠀⠀⠀⠀⠀
⣿⣿⣿⢿⣿⠾⣿⣿⣥⠿⠃⢀⣀⣤⠶⠛⠉⠘⢻⣿⣿⠛⢸⣿⣿⢸⣿⡇⢸⣿⣿⠻⠛⠀⠀⣿⣿⣧⡀⠀⣿⡿⣿⡇⢸⣿⡇⢸⣿⣿⢀⣿⣿⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡤⢾⡷⢿⣈⣀⠀⠀⠀⠀⠀⠀
⣿⣿⠿⣛⠥⠜⠛⠉⢠⠴⠾⠋⠏⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⣾⣿⡇⢸⣿⣿⣬⡅⠀⠀⣿⣿⣿⣁⢰⣿⡇⣿⣷⠘⣿⣇⣿⣿⣿⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⠸⡿⣯⡽⠥⡀⢀⠀⠠⠤⠼
⣯⣀⣨⣤⣶⣾⣻⣷⣶⣶⣶⣟⣣⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢹⣿⡇⢸⣿⣿⢩⠁⠀⠀⣿⣿⠁⠉⢸⣿⣧⣿⣿⠀⣿⣿⣿⡇⣿⣾⣿⡇⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣭⠿⢃⡋⠀⡄⠀⢀⣙
⣿⣿⣿⣿⣿⣿⣷⡽⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢸⣿⡇⢸⣿⣿⣶⡆⠀⠀⣿⣿⣶⡆⣿⣿⠏⣿⣿⡧⢿⣿⣿⢳⢿⣿⣿⢇⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⠀⠀⠀⠀⠐⠖⠗⠉⠁⠀⠀⠇⠀⠲⠤
⣿⣿⣿⣿⣿⣿⣿⣷⣹⣿⠁⠁⠀⠀⠀⠀⠀⠀⡀⠂⡲⠠⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣶⣶⣶⣾⣶⣶⣶⣶⡶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⣩⣭⣥
⣿⣿⣿⣿⣿⣿⣿⣷⠋⣿⠀⠀⠀⠀⠀⠀⠀⠀⢷⢨⡷⣓⣂⣅⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⣈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡦⡖⣰⡒⠒
⣿⣿⣿⣿⣿⣿⣿⡛⠛⢿⡃⠀⠀⠀⠀⠀⠀⠀⠘⡇⡆⢿⣿⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠠⠤⠭⠽⠸
⠀⠀⠀⠀⠀⠀⠀⢀⠈⠀⠀⠀⠀⠀⢛⠛⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣄⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠘⠿⣿⡄⢧⠀⣿⣮⣟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣴⡶⠾⠧⠀⠀⠄⠿⠿⠷⣦⣶⣆⣀⣀⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀⠀⢀⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠉⠁⠼⢧⠾⠿⣿⣿⣾⣿⠋⠉⢻⣿⣿⣿⣿⣿⣿
⠁⠶⠂⠀⢀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣦⠀⠀⣠⠂⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠽⠟⠛⠃⠀⠈⣿⣿⣿⣿⣿⣿
⠀⠀⠀⢠⡟⢀⣴⣶⣶⣶⣿⣿⡿⣩⠉⠀⠀⣼⣿⣿⡀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣤⣤⣤⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠋⢀⣘⣿⣿⣿⣿⣿⣿⣿⣷⣷⠀⠀⣿⣿⣿⠁⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠁⠀⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⣿⡿⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡴⡄⢘⣘⣻⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠿⣻⣷
⣧⣀⢨⣴⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣷⠀⢹⡏⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⢿⣿⣿⣿⣿⣿⣿⠋⠁⠀⠉⠛⠛⢻⣿⣿⣟⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⡟⢛⣥⣾⣿⣿⣿
⣿⣿⣏⠀⠀⡀⠀⣿⣿⣿⣿⣿⡸⣿⣿⣿⠀⡀⠃⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣯⠁⠤⠋⠸⠿⣿⣿⣿⣿⣧⣤⣄⣀⣴⣶⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢀⣿⠘⣟⣉⣤⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣆⠀⠀⢹⠟⠟⠻⢿⣷⡙⣿⣿⠂⠛⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠳⠀⠀⠀⠀⠀⣜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠈⠻⡇⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣷⣿⣿⣿⣇⠀⠈⠁⠀⠀⠀⠈⠁⠈⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡿⠋⢁⣀⣤⣶⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⣡⣾⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛
⣿⣿⡝⠛⠛⠉⠀⠀⠀⠀⠀⠀⣠⣴⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⢀⣴⡟⠋⠻⣿⡿⠟⠛⠉⠀⠀⠀⠀
⣿⣿⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⢿⣿⣿⡟⠛⠙⠛⠛⠻⢿⣿⣿⣿⣿⣿⣇⠀⣠⣴⣿⣿⣿⣶⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣦⣆⠀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⠛⠛⠿⢶⣶⣾⣿⣿⣿⣦⡀⠀⠀⠀⣨⣿⣿⣿⣿⠏⠉⠙⠛⠟⣽⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣶⣶⣶⣶⣶⣶⣤⣤⣤⣾⣿⣿⡄⢹⣿⡆⢀⡀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣷⣤⣤⣴⣿⣿⣿⡿⠿⣛⣠⣤⣦⣿⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠛⠻⣿⠄⠀⠀⠀⠤⢄⣴
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠈⣿⣧⠸⣿⣶⣤⡀⠀⠀⠘⣿⣿⣿⣿⣿⣿⠟⠁⢺⣿⣿⣿⣿⣿⣿⠿⠿⣿⣻⣭⣶⣿⣿⣿⣿⣿⣤⡙⠃⠀⠀⠀⠀⠀⠀⣠⣷⣆⣀⠀⠀⢀⣾⠁⡠⠴⠄⣻⣷⠆⠊
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡂⣿⣿⣄⣿⣿⣿⣿⡄⠀⠀⠘⣿⣿⣿⣿⣿⠀⠀⠉⠈⠁⣈⣉⣡⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⣠⠘⣿⣿⣿⣿⣷⡌⠹⣿⡀⠈⠀⠀⠉⢠⢽⣽
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢹⢻⡿⠿⠟⠋⠁⠀⠀⠀⠀⠘⣿⣿⣿⣿⣶⡄⠀⣴⣾⢿⣿⣿⣶⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⢀⣐⡿⠀⢻⣿⣿⣿⣿⣿⡀⠈⠛⠶⣦⣤⣤⣀⣀⣉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣀⣀⡤⠴⠂⠀⠈⢿⣿⣿⡿⠟⠫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⣿⠃⠀⢘⣟⣿⣿⣿⣿⣷⠊⠀⠀⠀⠀⠈⠉⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣀⣠⣶⣿⠋⠁⠛⠉⠀⠀⢀⠄⠉⠻⠀⠈⠃⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⣸⡟⠀⠀⠀⠟⢽⣿⣿⣟⡿⡆⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠜⠛⣻⣷⠿⠋⠀⠀⠀⣀⣤⠾⠋⠀⠀⠀⠠⠄⠘⠛⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠻⠛⠁⠀⠀⠀⠀⠀⠀⠀⠈⡝⠀⠀⠀⠀⠀⠈⡟⣿⣷⠲⡄⠀⠀⠀⠀⠀⠀⢴⣾
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⡶⠆⠛⠉⠀⣀⣠⣤⠶⠛⠋⠁⠀⠀⠀⠀⠀⢀⠀⢄⡀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠰⣾⠾⢗⣀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠉⠉⠁⠀⢀⢀⣰⣶⣛⣋⢉⣀⣀⢀⣀⡀⢀⣀⣀⣀⡀⡇⠀⣘⣓⡀⠀⠀⣀⣀⣀⡀⢀⣀⡀⢀⣀⣀⠀⣀⣀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣿⠹⣿⠐⢢⠠⠀⠀⠀⠀⠀⠀
⣿⣿⣿⢿⣿⡾⣿⣿⣭⡿⠋⠀⣀⣤⠴⠞⠛⠘⢻⣿⣿⠛⢸⣿⣿⢸⣿⡇⢸⣿⣿⠛⢳⠀⠀⣿⣿⣿⣦⠀⣿⡿⣿⡇⢸⣿⡇⢸⣿⣿⢀⣿⣿⠀⠀⢠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠘⡈⣮⣭⣽⠌⠆⠀⠀⠀⠀⠀⠀
⣿⣿⡿⢟⢩⠘⠛⠋⠁⣴⠶⠛⠏⠉⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⣾⣿⡇⢸⣿⣿⣤⡌⠀⠀⣿⣿⡿⣥⢸⣿⡇⣿⣷⠘⣿⣇⣿⣿⣿⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠸⣟⣟⣻⡍⡀⠀⠀⢀⣀⣰
⣯⣉⣡⣤⣶⣶⣻⣷⣶⣶⣶⣟⣣⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢹⣿⡇⢸⣿⣿⢉⠇⠀⠀⣿⣿⠀⠈⢸⣿⣧⣿⣿⠀⣿⣿⣿⡇⣿⣾⣿⡇⣀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⣟⣶⡂⠓⠈⡀⠀⠀⠶
⣿⣿⣿⣿⣿⣿⣷⡽⣿⣿⣿⣿⠛⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢸⣿⡇⢸⣿⣿⣶⡆⠀⠀⣿⣿⣶⡆⣿⣿⠏⣿⣿⡇⢻⣿⣿⢳⢿⣿⣿⠇⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⠀⠀⠀⠀⠰⡬⡿⠒⠊⠁⠠⠇⠀⣼⣛
⣿⣿⣿⣿⣿⣿⣿⣷⣛⣿⠃⠁⠀⠀⠀⠀⠀⠀⠀⠆⠤⢄⡀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣲⣶⣶⣶⣾⣶⣶⣶⣾⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⣒⡂
⣿⣿⣿⣿⣿⣿⣿⣷⠟⣿⠀⠀⠀⠀⠀⠀⠀⠀⢷⢘⣧⠤⠄⣃⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣟⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠆⣭⣭⣭
⣿⣿⣿⣿⣿⣿⣿⠛⠛⣿⣁⠀⠀⠀⠀⠀⠀⢀⠸⡎⡇⣿⣽⠉⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⢱⡰⣒⠂⡖
⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠘⠛⠉⠉⠁⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣾⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠈⠿⠿⣧⠹⡄⠹⣷⣮⣙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡶⠶⠿⠂⠀⠀⠀⠼⠿⠶⠤⡴⢿⣿⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠈⠉⠰⠿⠞⠛⢿⣿⣿⣿⡉⠁⠘⣿⣿⣿⣿⣿⣿
⠐⠊⠁⠀⡀⠀⢀⣤⣤⣤⣤⣤⣼⣿⡿⠿⠃⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠟⠋⠉⠀⠀⢹⣿⣿⣿⣿⣿
⠀⠀⠀⠠⠁⠀⢸⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⣼⣿⣷⡄⠀⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⣦⣤⣼⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠄⠀⢰⣿⣿⣿⣿⣿⣿⡿⣿⠀⠀⣿⣿⠿⠃⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢋⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⢀⣀⣤⡌⣿⣿⣿⣿⡿⣿⣿⣿⡇⠀⢿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠈⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⠿⣻⣵
⠀⠰⠾⣿⣿⣿⣷⠈⢿⣿⣿⣿⣿⣿⣿⣿⠀⠸⡇⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠈⠉⣨⣯⣯⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⢀⠘⣿⣿⣿⣿⣿⢛⣥⣾⣿⣿⣿
⣀⡀⠀⡀⢀⣀⡉⠀⠈⠻⣿⣿⡽⣿⣿⣿⠀⣆⠁⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⡆⠐⠋⠉⠉⠻⣿⣿⣿⣿⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⢀⣾⡇⠿⢛⣥⣼⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣇⠀⠸⣿⡄⠀⠀⠀⠀⠉⢳⠘⢿⣿⡇⠋⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡟⠛⠁⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠘⢿⣷⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⠀⠀⠀⢲⡀⠀⠀⠀⠀⠀⠁⢀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠏⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠈⣻⣾⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿
⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣴⣦⣾⣿⣧⣿⣿⣿⠿⠿⠛⠋⠀⠀⠀
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⢙⣿⣿⣿⣇⠈⠉⠉⠙⢻⣿⣿⣿⣿⣿⣿⣄⣼⣿⡿⣿⣿⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀
⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣦⠀⣶⣆⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣀⠀⠉⠉⢻⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⣼⣿⣿⣿⣿⠏⠀⠀⠈⠻⣧⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⡆⢸⣿⡆⢠⡀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⠿⣹⣿⣿⣿⣿⣿⣶⣶⣾⣿⣿⣿⠿⣛⣭⣤⣶⣾⢿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢓⣤⠀⠀⠀⢀⡀⠀⢐
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠈⣿⣧⠘⣿⣷⣦⣀⠀⠀⠀⢿⣿⣿⣿⣿⣿⠗⠀⣻⣿⣿⣿⣿⡿⠿⠟⣛⣻⣷⣶⣿⣿⣿⣿⣿⣿⣾⠻⠁⠀⠀⠀⠀⠀⠀⣠⣿⣦⣀⡀⠀⢰⣿⠁⠀⠐⠀⣿⡿⠆⠁
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⣿⣿⣄⣿⣿⣿⡿⠆⠀⠀⠈⢿⣿⣿⣿⣿⡀⠀⠈⠉⢉⣠⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⣠⠄⣿⣿⣿⣿⣿⣆⠸⣿⡀⠀⠀⠀⠁⠀⠀⠰
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠘⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣷⣦⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⣬⣿⠀⢸⣿⣿⣿⣿⣿⡁⠈⠙⠳⢶⣤⣤⣤⣄⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⣀⣠⣤⠖⠂⠀⠈⢻⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠠⣿⠃⠀⠘⣏⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⠉⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⣀⣤⣶⣿⠍⠀⠋⠉⠀⠀⣀⠔⠉⠛⠁⠈⢉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⣼⡏⠀⠀⠀⠛⢻⣿⣿⣟⡿⡆⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⢛⣻⣷⠟⠋⠀⠀⠀⣀⣤⡾⠋⠀⠀⠀⢰⠄⠈⠉⠻⢿⣿⣿⣿⡿⠿⠿⠿⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠇⣾⣖⠲⡄⠀⠀⠀⠀⠀⠀⠶⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣭⢶⡔⠛⠉⠀⣀⣠⣤⠶⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⢆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠁⠀⠀⠀⠀⠀⠀⠰⣿⠲⢗⣐⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣟⠉⠉⠉⠀⠀⢀⢀⣴⣶⣛⣋⢉⣀⣀⢀⣀⡀⠀⣀⣀⣀⡀⡇⠀⣘⣗⣀⠀⠀⣀⣀⣀⡀⢀⣀⡀⢀⣀⣀⠀⣀⣀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⢂⣿⠹⣿⠂⢢⠀⠀⠀⠀⠀⠀⠀
⣿⣿⡿⣿⣷⢾⣿⣿⣵⡿⠃⢀⣀⣤⡶⠟⠛⠘⢻⣿⣿⠛⢸⣿⣿⢸⣿⡇⢸⣿⣿⠛⣳⠀⠀⣿⣿⣿⣧⠀⣿⡿⣿⡇⢸⣿⡇⢸⣿⣿⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡈⣬⣭⡽⠌⠆⠀⠀⠀⠀⠀⠀
⣿⣿⠿⣋⠡⠈⠛⠉⠁⣤⠾⠛⠏⠉⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⣾⣿⡇⢸⣿⣿⣤⡌⠀⠀⣿⣿⡟⣧⢸⣿⡇⣿⣷⠘⣿⣇⣿⣿⣿⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⢸⡛⣟⣯⡉⠀⠀⠀⢀⣀⣈
⣧⣬⣥⣴⣶⣾⣻⣷⣤⣶⣶⣟⣣⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢹⣿⡇⢸⣿⣿⢉⠅⠀⠀⣿⣿⠀⠀⢸⣿⣧⣿⣿⠀⣿⣿⣿⡇⣿⣾⣿⡇⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣣⣛⣲⠀⠓⠀⠀⠀⠒⠶
⣿⣿⣿⣿⣿⣿⣷⡽⣿⣿⣿⣿⠛⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢸⣿⡇⢸⣿⣿⣶⡆⠀⠀⣿⣿⣶⡆⣿⣿⠏⢿⣿⡆⢻⣿⣿⢑⢿⣿⣿⠇⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⠀⠀⠀⠀⢠⡽⠧⠐⠀⠀⠐⠀⠀⣘⡛
⣿⣿⣿⣿⣿⣿⣿⣷⣻⣿⠃⠁⠀⠀⠀⠀⠀⠀⠀⠆⠤⢄⡀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⣶⣶⣶⣎⣶⣰⣶⣖⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠀
⣿⣿⣿⣿⣿⣿⣿⣷⠏⣿⠀⠀⠀⠀⠀⠀⠀⠀⣧⢘⣧⠤⠄⣃⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⣀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠀⠀⣭⣭⡍
⣿⣿⣿⣿⣿⣿⣿⠛⠛⣿⠃⠀⠀⠀⠀⠀⠀⠀⢸⡜⡅⣿⢽⠁⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣆⣚⡒⢰⠀
⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⡾⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠙⢻⣿⠈⣦⠘⣿⣶⣭⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠚⢛⠉⠁⠀⠀⠈⠛⠛⠒⠒⠀⠈⢿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠁⠀⠛⠛⠋⠻⣿⣿⣿⣏⠀⠈⢿⣿⣿⣿⣿⣿
⠈⠁⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣷⣾⠿⠛⠁⢠⣄⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠉⠁⠀⠀⠸⣿⣿⣿⣿⣿
⠀⠀⠀⠃⠀⠀⣾⣿⣿⣿⣿⣿⢟⡿⣆⠀⠀⣿⣿⣷⡄⠀⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢹⣶⣶⣾⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠘⢻⣿⣿⣿⣿⣿⣾⣿⡀⠀⣿⣿⠛⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⡤⢿⢿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿
⠀⣠⣤⣴⠂⠀⠀⠘⣿⣿⣿⡿⣿⣿⣿⣇⠀⢿⡟⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠋⠀⠠⠴⠿⠿⠿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⠿⢛⣭⣶
⠐⠛⠻⠿⢷⣶⠀⠀⢿⣿⣿⣷⢿⣿⣿⣿⠀⠘⣇⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⢀⣀⣀⣴⣶⣶⣾⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⣿⣿⢿⣿⣉⣵⣾⣿⣿⣿
⣤⠤⢤⣤⣤⠀⠀⠀⠀⠉⠛⣻⡘⢿⣿⣿⠀⣇⠁⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⢀⣼⣇⢛⣩⣤⣾⣿⣿⣿⣿⣿⣿⣿
⣿⠀⠈⠙⣿⡆⠀⠀⠀⠀⠀⠹⣿⡈⠉⢹⠇⠉⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠋⠀⢀⣠⣤⣄⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠸⣿⣿⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠀⠀⠀⠘⢷⡀⠀⠀⠀⠀⠀⠈⠁⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣃⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⢠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿
⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⣾⣿⣿⣿⣷⣿⣿⣿⠿⠟⠛⠁⠀⠀⠀
⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣏⣀⣨⣿⣿⣿⣦⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⡿⠶⢾⣿⡟⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⠀⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣤⣤⡀⡀⣸⣿⣿⣿⣿⣿⣿⠇⠀⢀⣴⣾⣿⣿⣿⡿⠋⠀⠀⠀⠉⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⡆⢸⣿⡆⢰⣄⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⠿⢋⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣛⣭⣴⣶⣿⣿⢻⣿⣿⠛⠉⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⣠⡤⠀⠀⠀⣀⠀⢀⡄
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠈⣿⣷⠘⣿⣿⣶⣄⠀⠀⠀⢿⣿⣿⣿⣿⣿⠁⠀⠿⠿⡿⠿⠿⠛⣻⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⠉⠁⠀⠀⠀⠀⠀⠀⣴⣿⣷⣤⣀⠀⢸⡏⠀⢠⠀⢈⣿⠿⢪⢹
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⢿⣿⣤⣿⣿⡿⠟⠃⠀⠀⠀⢻⣿⣿⣿⣿⣧⡀⠀⠀⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⣴⠆⣿⣿⣿⣿⣿⣇⠸⣷⣄⠀⠀⠀⠀⠀⠹⠃
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠠⣦⡟⠀⢸⣿⣿⣿⣿⣿⡄⠀⠉⠻⠶⢶⣤⣤⣤⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⢀⣠⡤⣴⣒⠋⠀⠈⠹⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀⠈⣏⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣀⣤⡴⣾⣿⠇⠀⠈⠁⠀⠀⣀⠒⠈⠙⠀⠀⠙⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⠛⠸⣿⣿⣧⠟⠇⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠘⣋⣽⡿⠟⠁⠀⠀⢀⣠⣴⠞⠁⠀⠀⠀⠰⠂⠀⠀⠛⠿⣿⣿⠿⠛⠛⠛⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠂⢇⢿⣗⡳⡄⠀⠀⠀⠀⠀⠐⠿⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠷⠾⠈⠋⠁⢀⣠⣤⡶⠞⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡟⠁⠀⠀⠀⠀⠀⢠⢰⣟⠲⠇⣓⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣏⠉⠉⠀⠀⢀⣠⢀⣶⣞⣛⣉⢀⣀⣀⢀⣀⡀⠀⣀⣀⣀⡀⠇⠀⣈⣟⣀⠀⠀⣀⣀⣀⡀⢀⣀⡀⢀⣀⣀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣮⡋⢹⣷⠒⣄⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⡿⢟⣷⣿⡴⠟⠁⣀⣠⣴⠶⠛⠉⠘⢻⣿⣿⠛⢸⣿⣿⢸⣿⡇⢸⣿⣿⠻⢳⠀⠀⣿⣿⣿⣷⠀⣿⡿⣿⡇⢸⣿⡇⢸⣿⣿⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣠⣬⡭⠿⠹⡀⠀⠀⠀⠀⠀⠀
⣿⡿⠟⠫⠀⠈⢉⡁⠤⠶⠿⢋⠉⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⣾⣿⡇⢸⣿⣿⣤⡄⠀⠀⣿⣿⠟⣦⢸⣿⡇⣿⣷⠘⣿⣇⣿⣿⣿⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠇⢿⢛⣻⣭⠁⠀⠀⠀⡀⢀⠀
⣧⣬⣤⣶⣶⣿⡿⣷⣶⣿⣶⣟⡓⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢹⣿⡇⢸⣿⣿⢉⠅⠀⠀⣿⣿⠀⠀⢸⣿⣧⣿⣿⠀⣿⣿⣿⡇⣿⣾⣿⡇⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣘⣓⡂⠐⠂⠀⠀⠀⠤⠄
⣿⣿⣿⣿⣿⣿⣷⡽⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢸⣿⡇⢸⣿⣿⣶⡆⠀⠀⣿⣿⣶⡆⣿⣿⠏⢿⣿⡇⢻⣿⣿⢁⢿⣿⣿⠇⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⠀⠀⠀⠀⣦⠽⠇⠒⠀⠀⠌⠀⢀⡋⠛
⣿⣿⣿⣿⣿⣿⣿⣷⣹⣿⠃⠁⠀⠀⠀⠀⠀⠀⡐⠆⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣶⣮⣤⣤⣶⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠐⠒⣀⠀
⣿⣿⣿⣿⣿⣿⣿⡾⢣⣿⠀⠀⠀⠀⠀⠀⠀⠀⣧⢺⡥⠶⢜⡃⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⡀⠘⢿⣿⣿⣿⣿⣿⣿⣷⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⠨⣭⣍⠁
⣿⣿⣿⣿⣿⣿⣟⠛⠛⣿⠃⠀⠀⠀⠀⠀⠀⠀⢹⣜⡔⣯⣿⠁⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢡⡐⣒⢀⡄⠀
⣀⣰⡆⠀⠀⡀⣀⣀⡀⠀⠀⠀⠈⠦⠁⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠘⠙⡿⡄⣷⡀⣿⣷⣬⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡉⠀⠀⢀⣴⣾⣽⠛⠉⠉⣋⠀⠀⠀⠀⣿⡿⠀⣠⡀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠁⠀⠛⠛⠉⠙⢿⣿⣿⣿⡀⠀⢹⣿⣿⣿⣿⣿
⠀⠀⢺⣿⣿⣿⣿⣧⣤⣾⣿⣿⣿⣶⡂⠉⠀⣠⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠋⠉⠀⠀⠀⣿⣿⣿⣿⣿
⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣏⣥⠀⠀⣿⣿⣿⠆⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣶⣶⣶⣿⣿⣿⣿⣿
⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣽⣻⣿⡄⠀⣿⣿⠉⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠘⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢿⣿⣿⣧⠀⢹⡗⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠀⠀⠀⠛⠛⢛⡛⠛⠿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡀⠚⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⠀⡈⠇⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣷⠀⠙⠓⠛⠻⣿⣿⣿⣿⣧⣄⣀⣀⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣷⣦⣀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣎⢿⣿⣿⠀⠇⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⡿⠟⠀⠀⠀⠀⢀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⣴⣷⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿
⣿⣿⣿⡗⠋⠛⢿⣿⣿⣿⣿⣿⣿⡆⠛⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠏⠀⣠⣴⣶⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⣸⣿⣿⣘⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀
⣿⣿⡋⠁⠀⠀⠀⠙⠻⣿⣿⡿⢏⣡⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣯⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⢠⣿⣿⣿⡿⢻⣿⡿⠟⠛⠀⠀⠀⠀⠀
⣿⣿⣇⠀⠀⠀⠀⠀⠀⢈⣤⠀⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⡟⠛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣸⣿⣿⣿⠷⠌⠁⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⢁⠀⢀⣀⡀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠙⠛⠻⠿⣶⣶⣾⣿⣿⣿⣦⠀⠀⠀⠀⢻⣿⣿⣿⣿⡿⠛⠒⠿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣟⠃⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣿⣇⠘⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣷⣧⣤⣦⣤⣿⣿⣿⣿⣿⡿⠟⠀⢀⣴⣾⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⡄⢹⣿⡄⣷⣄⡀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⠋⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣭⣵⣶⣿⣿⣿⣟⢻⣿⠟⠈⠁⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⢠⡵⠂⠀⠀⣠⣄⠒⠶⠶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⡇⠸⣿⣿⣷⡄⠀⠀⠈⢿⣿⣿⣿⣿⣧⠀⠈⠙⠛⠛⠛⢋⣭⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡦⠀⠀⠀⠀⠀⠀⢀⢰⣾⣿⣷⣦⣀⢠⣿⠀⠀⠘⠀⡼⠟⠃⠀⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠿⣷⣶⣿⡿⠟⠉⠀⠀⠀⠈⢿⣿⣿⣿⣿⣖⠀⠀⣰⣶⣶⣿⣿⣿⣿⣽⣻⣿⣿⣿⣿⣿⣿⣿⠋⠁⠀⠀⠀⠀⠀⢠⡾⠠⣿⣿⣿⣿⣿⣆⠿⣄⡀⠀⠀⠀⠀⠀⠀⠈
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠸⣾⠇⠀⣿⣿⣿⣿⣿⣿⡀⠈⠙⠻⠶⠶⣦⣤⣤⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⢀⣠⡤⢶⣿⡉⠀⠀⠀⣿⣿⡟⠟⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⢸⣼⣿⣿⣿⡿⣧⠀⠀⠀⠀⠀⠀⠀⠈⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣠⣤⣶⣞⣿⡿⠀⠀⠀⠀⠀⢀⡔⠃⠀⠈⠀⠀⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠈⡇⣿⣿⣿⠹⠹⠀⠀⠀⠀⠀⠀⠀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⠿⠇⣉⣭⡿⠟⠋⠀⠀⠀⣀⣤⠶⠋⠀⠀⠀⠀⢸⠄⠀⠈⠙⠻⠿⠟⠋⠁⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠁⠀⠀⠀⠀⠀⢻⢸⣷⣘⠦⠀⠀⠀⠀⠀⠐⠿⠿⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠷⠟⠃⠉⠁⢀⣀⣤⡴⠞⠛⠉⠀⠀⠀⠀⠀⠀⠀⡄⠰⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⡔⢛⡒⠟⢘⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⢿⣻⣿⣿⢿⣿⡅⠀⠀⠀⠀⣀⡄⢰⣟⣛⣉⣀⢀⣀⣀⢀⣀⡀⠀⣀⣀⣀⣰⠃⠀⣹⣗⣀⠀⠀⣀⣀⣀⡀⢀⣀⡀⢀⣀⣀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢯⣭⠁⡿⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣻⣿⠟⣹⣿⣷⠟⠋⢀⣠⣴⡶⠛⠉⠀⠘⢻⣿⣿⠛⢸⣿⣿⢸⣿⡇⢸⣿⣿⠻⢻⠀⠀⣿⣿⣿⡗⠀⣿⡿⣿⡇⢸⣿⡇⢸⣿⣿⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⡮⣭⠽⠘⡇⠀⠀⠀⠀⠀⠀⢄
⠿⢛⠩⠀⢐⣈⣁⡤⠶⠿⠛⡉⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⣾⣿⡇⢸⣿⣿⣬⡅⠀⠀⣿⣿⡷⢄⢸⣿⡇⣿⣷⠘⣿⣇⣿⣿⣿⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢺⢛⣛⣛⣋⠀⠀⠀⣀⣀⠀⠈
⣶⣶⣶⣿⣿⣿⣿⣶⣶⣷⣶⣟⡃⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢹⣿⡇⢸⣿⣿⢹⠁⠀⠀⣿⣿⠀⠀⢸⣿⣧⣿⣿⠀⣿⣿⣿⡇⣿⣾⣿⡇⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣊⣓⡆⠐⠆⠀⠀⠀⠤⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢸⣿⡇⢸⣿⣿⣶⡆⠀⠀⣿⣿⣶⡆⣿⣿⠏⢿⣿⡆⢻⣿⣿⠁⢿⣿⣿⠃⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⠀⠀⠀⣌⢭⠁⠂⠀⠀⠀⠀⣐⠀⠀⠀
⣿⣿⣿⣿⣿⣿⡿⣧⣼⡟⠀⠁⠀⠀⠀⠀⠀⢠⠰⠐⠦⡄⢀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣶⣶⣶⡀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣷⠟⣸⠃⠀⠀⠀⠀⠀⠀⠀⢸⡎⣯⢶⣒⣸⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⢸⣿⣿⣿⣷⣾⣿⣷⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢈⣉⠁⠀⠀
⣿⣿⣿⣿⣿⣿⡋⢛⢻⡟⠃⠀⠀⠀⠀⠀⠀⠀⠧⢷⢹⣽⡇⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡀⠒⠀⡀⠀⠀⠀
⣰⣷⡀⠀⢀⠀⣤⣀⡀⠀⠀⠚⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠘⠛⡿⡄⣷⡀⣿⣷⣬⣛⣿⣿⣿⣿⣿⣿⣿⣿⠟⣫
⣿⣿⡆⠀⠀⠀⠈⠉⠉⠀⠁⠀⠀⠀⠀⠀⡀⠀⢀⡀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠋⠙⣿⣿⣿⡿⠁⠀⢻⣿⠟⣡⣾⣿
⣿⣿⣿⣦⠀⢠⣤⣀⠀⢀⢀⣀⣀⠀⠀⠀⠀⢰⣿⣿⠂⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠋⠉⠁⠀⠀⢡⣾⣿⣿⣿
⣿⣿⣿⣿⣷⡼⣿⣿⣿⣿⣿⣿⣻⣿⣦⠀⠀⣾⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣤⣤⣤⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣾⣿⣿⡄⠀⣿⡏⠉⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡶⠚⠟⠻⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣧⠀⢻⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠀⠀⠀⠛⠛⢛⡛⠻⢿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠘⠇⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⡇⠁⠛⠛⠛⢿⣿⣿⣿⣿⣧⣄⣀⣠⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⡀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠱
⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⢿⣿⣿⠀⠆⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠿⠇⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⣴⣧⢸⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀
⣔⡀⠙⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠛⠻⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠋⢀⣤⣴⣾⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⣸⣿⣿⣘⣿⣿⣿⠿⠉⠀⠀⠀⠀⠀
⣿⣷⠀⠀⠀⠉⠉⠻⢿⣿⣿⣿⣟⣧⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⢠⣿⣿⣿⡿⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣧⠀⠀⠀⠀⠀⠀⠩⡍⠘⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⡛⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣸⣿⣿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣾⣵⠀⠀⠀⠀⠾⣷⢀⣀⣀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⠋⠙⠛⠻⠷⣶⣶⣿⣿⣿⣷⣄⠀⠀⠀⠈⣿⣿⣿⣿⣿⡿⠛⠚⢿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠙⣿⣿⡿⠛⠀⠀⠀⠀⠀⠱⣿⣿⣿⡇⠸⣿⣆⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⢫⣾⣿⣿⣷⣧⣤⣤⣴⣿⣿⣿⣿⣿⠿⠋⠀⣀⣴⣾⣿⣿⣿⣿⠟⠀⠀⠀⠀⠁⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⡀⢿⣿⠀⣷⣄⡀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠟⠠⣼⣿⣿⣿⣿⣿⣿⣿⣿⢿⣟⣫⣭⣶⣾⣿⣿⣿⡟⣿⣿⠇⠁⠁⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⣬⡗⠀⠀⢀⣤⡀⠀⠀⢀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⡆⢹⣿⣿⣷⡀⠀⠀⠘⣿⣿⣿⣿⣿⡇⠀⠙⠛⠛⠛⠛⣩⣵⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⢀⢰⣿⣿⣷⣤⡀⣼⡇⠀⠀⠄⢠⠿⠛⠀⠸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠛⠷⠶⠿⠛⠋⠉⠀⠀⠀⠘⣿⣿⣿⣿⣷⣤⣀⢀⣼⣿⣿⣿⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⢠⣿⢸⣿⣿⣿⣿⣿⡿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⢸⣾⠃⠀⣿⣿⣿⣿⣿⣷⠀⠙⠛⠷⠶⢶⣤⣤⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⣀⣤⡴⢖⣯⡉⠀⠀⠀⣿⣿⡟⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⣿⢽⣿⣿⡿⢿⡇⠀⠀⠀⠀⠀⠀⠀⠉⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⣤⣴⣶⣟⣿⡟⠀⠀⠀⠀⠀⣀⡔⠁⠈⠃⠀⠚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⢸⢸⣿⣿⣇⠺⠇⠀⠀⠀⠀⠀⠀⠀⣀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠎⣩⣼⠿⠛⠉⠀⠀⢀⣀⣤⠶⠋⠀⠀⠀⠀⣶⡀⠀⠙⠻⠿⠿⠿⠏⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠆⠀⠀⠀⠀⠀⠘⣇⣿⣖⡲⡆⠀⠀⠀⠀⠀⠾⠿⠿⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠾⠛⠏⠉⠀⣀⣠⣤⠶⠚⠋⠉⠀⠀⠀⠀⠀⠀⢀⡅⠸⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⢠⠸⠟⠾⠇⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣟⣿⣿⣿⢿⣿⠄⠀⠀⠀⢀⣠⡀⢶⣛⣋⣉⣀⢀⣀⡀⢀⣀⡀⢀⣀⣀⣀⣸⠀⠀⣻⣓⣀⠀⠀⣀⣀⣀⡀⢀⣀⡀⢀⣀⣀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠸⡍⢽⠷⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⡿⠛⣵⣿⡶⠟⠉⣀⣤⡴⠾⠋⠉⠁⠘⢻⣿⣿⠛⢸⣿⣿⢸⣿⡇⢸⣿⣿⠻⡇⠀⠀⣿⣿⣿⡧⠀⣿⡿⣿⡇⢸⣿⡇⢸⣿⣿⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⣥⣭⣽⡇⢿⠀⠀⠀⠀⠀⠀⡄⠀
⠿⠛⠡⠀⢂⣀⣤⡤⠶⠿⠋⠅⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⣾⣿⡇⢸⣿⣿⣭⡅⠀⠀⣿⣿⣯⡄⢸⣿⡇⣿⣷⠘⣿⣇⣿⣿⣿⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠰⡖⣒⣒⡚⠀⠀⠀⠀⠀⠀⠈⠁
⣶⣶⣾⣿⣿⣿⣻⣶⣶⣶⣶⣟⣃⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢹⣿⡇⢸⣿⣿⡽⠁⠀⠀⣿⣿⠁⠀⢸⣿⣧⣿⣿⠀⣿⣿⣿⡇⣿⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣃⡻⢦⠀⠄⠀⠀⠡⢈⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢸⣿⡇⢸⣿⣿⣶⡆⠀⠀⣿⣿⣶⡆⣿⣿⠏⢿⣿⡇⢻⣿⣿⠁⢿⣿⣿⠇⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⠀⠀⣄⣩⡍⠉⠀⠀⠀⠀⢀⠐⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣧⣾⡛⠁⠁⠀⠀⠀⠀⠀⢀⠲⠐⠤⡄⡀⠀⠀⡀⠀⠀⠀⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣂⡀⠠⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠌⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⡷⠋⣿⠁⠀⠀⠀⠀⠀⠀⠀⢹⢈⣥⢶⣒⣭⢰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⢻⣿⣿⣷⣶⣾⣶⣦⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣘⠃⠀⠀⠀
⣿⣿⣿⣿⣿⣿⠓⠟⢿⡟⠃⠀⠀⠀⠀⠀⠀⠘⡏⡇⢿⣿⠋⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⠀⡍⠀⠀⠀⠀
⣿⡅⠀⠀⠄⡀⡀⣈⠉⠁⠀⢀⠸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠘⠛⣿⡄⣧⠈⣿⣮⣙⠿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋
⠛⠃⠀⠀⠃⠉⠙⠉⠻⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠁⠁⠻⠷⠛⠿⣿⣿⣿⣿⠛⠙⢿⣿⠿⢋⣤⣾
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠿⠿⠟⠂⠀⠈⢡⣶⣿⣿⡿
⢀⣴⣿⣿⣷⣾⣾⣿⣿⣷⣿⣿⣡⣿⣤⠀⠀⣠⣀⣤⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣀⣀⣠⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢀⣿⡇⠉⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⠾⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣾⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠖⠛⢻⠿⠿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⠸⡇⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⡿⠿⠞⠛⠛⢻⣿⣿⣿⣿⣥⣀⡀⣠⣶⣦⣴⣿⣿⣶⣾⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⠀⡄⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⠿⠃⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⣰⣧⢸⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⡿⣿⣿⡜⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠁⢀⣤⣶⣾⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠐⢿⣿⢘⣿⣿⡿⠿⠋⠀⠀⠀⠀⠀
⣿⣿⡿⠋⠉⠛⠻⣷⠀⠉⣿⣿⣿⣧⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⣀⢈⣽⣿⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⠀⠀⠀⠀⠈⠀⠀⣿⠉⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣷⠲⠀⠀⠀⠀⠀⠀⢿⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠛⠟⠿⢶⣦⣴⣿⣿⣿⣷⣄⠀⠀⠈⠙⣿⣿⣿⣿⣿⣿⠷⢴⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠉⢿⡿⡷⠦⠀⠀⠀⠀⠀⠈⢿⣿⣿⡀⢸⣿⡄⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣶⣦⣤⣤⣼⣿⣿⣿⣿⣿⡿⠟⠀⣠⣤⣶⣿⣿⣿⣿⠟⠁⠀⠀⠈⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣾⣿⣿⣿⣿⣶⣶⣶⣤⣶⣶⣾⣿⣾⣧⠀⣿⣧⠰⣦⣀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣭⣵⣶⣿⣿⣿⣿⣿⣿⡟⠟⠁⠀⠀⠀⠀⢀⡀⠀⠀⠀⣠⡿⠀⠀⢀⣠⡀⠀⡄⠉⣉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⢿⣿⡀⢻⣿⠗⠄⠀⠀⠀⠹⣿⣿⣿⣿⣿⡄⠀⠛⠿⠿⠛⠛⣩⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡝⠉⠀⠀⠀⠀⠀⢀⣠⣾⣿⣦⣄⣸⡏⠀⠀⠀⢨⡿⠛⠀⠰⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣌⠁⠀⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣷⣄⡀⣤⣶⣶⣾⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⣠⡾⢻⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠉⠛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⢰⣼⠁⢸⣿⣿⣿⣿⣿⡇⠙⠳⠶⢶⣤⣤⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⢀⣠⣤⠶⢺⣯⠅⠀⠀⠘⣿⣿⠟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣼⡏⠀⠈⣏⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣴⣶⣶⣛⣿⡟⠀⠀⠀⠀⠀⣠⠜⠃⠘⠄⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⢀⠏⠀⠀⠀⠃⢻⣿⣿⠃⠿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⡿⠿⢈⣩⣼⠿⠛⠉⠀⠀⢀⣠⣴⠞⠋⠀⠀⠀⠀⣤⠀⠉⠙⠿⣿⣿⠿⠟⠛⠋⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡎⠀⠀⠀⠀⢨⢹⢩⡯⠥⣤⠀⠀⠀⠀⠀⣶⣿⣷⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⠿⠿⠛⠈⠉⠀⣀⣤⣤⡶⠞⠋⠉⠀⠀⠀⠀⠀⠀⢀⠏⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠉⠀⠀⠀⠀⠀⢀⡠⠶⢭⣷⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣛⣽⣿⡿⢿⣿⠀⠀⠀⠀⢀⣠⠀⢶⣛⣛⣉⣀⢀⣀⣀⢀⣀⡀⠀⣀⣀⣀⡼⠀⠸⣿⣒⡀⠀⠀⣀⣀⣀⡀⢀⣀⡀⢀⣀⣀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡖⡟⢲⣶⢺⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣽⠿⠋⣿⣿⡾⠟⠉⣀⣤⣶⠾⠋⠁⠁⠘⢻⣿⣿⠛⢸⣿⣿⢸⣿⡇⢸⣿⣿⢿⡇⠀⠀⣿⣿⣿⣦⡀⣿⡿⣿⡇⢸⣿⡇⢸⣿⣿⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⢀⣘⣒⣦⢿⠐⠀⠀⠀⠀⠀⠀⠀⠀
⠟⠋⠥⠒⣂⣀⣤⡴⠶⠿⠋⠅⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⣾⣿⡇⢸⣿⣿⣿⡅⠀⠀⣿⣿⣿⡉⢸⣿⡇⣿⣷⠘⣿⣇⣿⣿⣿⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⢨⡿⠭⠭⡼⠆⠀⠀⠀⠀⠈⠂⠀⠀
⣶⣶⣾⣿⣿⣿⣻⣶⣶⣾⣶⣟⡃⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢹⣿⡇⢸⣿⣿⡏⠁⠀⠀⣿⣿⠋⠃⢸⣿⣧⣿⣿⠀⣿⣿⣿⡇⣿⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢿⣉⠁⠀⠀⠀⠀⠂⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢸⣿⡇⢸⣿⣿⣶⡆⠀⠀⣿⣿⣶⡆⣿⣿⠏⢿⣿⡆⢻⣿⣿⢁⢿⣿⣿⠃⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⠀⣀⢚⡓⢒⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣧⣞⠛⠀⠁⠀⠀⠀⠀⠀⡐⠆⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠈⠁⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⡿⢣⡟⠀⠀⠀⠀⠀⠀⠀⠀⣇⢻⡥⠶⢚⡃⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣧⣤⣠⡄⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⡄⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⡿⢛⠛⣿⠛⠃⠀⠀⠀⠀⠀⠀⢹⢸⠸⣿⣯⠁⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⣲⠀⠀⠀⠀⠀⠀
⣧⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⡀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠘⢛⣿⡄⣧⠈⣿⣬⡛⢿⣿⣿⣿⣿⣿⣿⣿⣫⣴⣿
⠉⠁⠀⠀⠈⠋⠉⣤⣒⣀⡄⠀⠃⠀⠀⠀⠀⠀⢠⣆⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠁⠁⠺⠧⠾⢿⣿⣷⣾⣿⠟⠛⢿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⢀⣻⢿⣿⣿⣦⣄⠀⠀⠀⠀⣠⣿⣿⠇⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡿⠿⠂⠀⠈⣿⣿⣿⣿⣿
⠀⠀⢸⣿⣶⣿⣿⣿⣿⣿⣿⣿⣫⣞⣄⠀⠀⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⣀⣀⣼⣿⣿⣿⣿
⠀⡀⠀⣹⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣿⡄⢸⣿⡏⠉⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⠾⠿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿
⣶⠁⢀⢻⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣇⠈⣿⠃⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠏⠀⠁⠠⠶⠾⠿⠿⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁
⡿⠆⣠⣼⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⣿⣿⢀⢹⡄⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣭⡭⠿⠿⠿⢿⣿⣿⣿⣿⣇⡀⠀⢠⣤⣄⣠⣿⣶⣶⣶⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀
⡇⠀⣿⣇⣈⣿⣿⣿⣿⣿⣿⣿⡽⣿⣿⣿⠘⡄⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠿⠇⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⢠⣧⢸⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀
⣷⣀⠈⠙⠻⣿⣟⠿⢿⣿⣿⣿⣿⡙⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠃⢀⣠⣤⣶⣶⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⢺⣿⠈⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀
⣿⣿⠂⠀⠀⠘⢿⡄⠀⣽⣿⣿⣿⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣥⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠚⣹⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⠆⠀⠀⠀⠀⠁⠀⠸⣟⠹⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⢀⣤⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⠲⡂⠀⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠿⠿⣿⣥⣤⣤⣿⣿⣿⣦⡀⠀⠀⠉⠛⣿⣿⣿⣿⣿⣿⣧⣤⣶⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠙⣿⣷⣶⠄⠀⠀⠀⠀⠀⠀⠀⠹⣷⠀⠸⣷⡀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣀⣀⣀⣼⣿⣿⣿⣿⣿⣿⠟⠀⢀⣤⣴⣾⣿⣿⣿⠿⠁⠀⠀⠉⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣶⣿⣿⣿⣶⣶⣶⣤⣤⣤⣤⣤⣴⣿⣇⠀⣶⣅⢀⣀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣛⣋⣭⣴⣶⣾⣿⢿⣿⣿⡿⠛⠁⠀⠀⠀⠀⢀⡀⠀⠀⠀⣠⠕⠀⠀⢀⣀⠀⠀⠀⠉⣉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡐⣿⣿⠘⢿⣿⡷⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⠀⠈⠟⠿⠿⠿⠟⣋⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡏⠋⠀⠀⠀⠀⠀⠀⣠⣾⣿⠦⣀⣾⠁⠀⠀⠀⣬⠿⠇⠀⣴⣿⣟
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣌⠀⠈⠙⠀⠈⠋⠁⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣦⣄⣀⣠⣶⣶⣾⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⢀⣾⢻⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⢀⣸⠃⢸⣿⣿⣿⣿⣿⡏⠳⠶⣦⣤⣤⣀⣀⡀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⢀⣠⣤⠶⢺⣭⠁⠀⠀⢹⢿⡿⠛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⣸⡏⠀⢸⣟⣟⣿⣿⣿⣷⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⣴⣶⣾⣛⣿⠟⠀⠀⠀⠀⠀⣠⠞⠋⠁⠀⠨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠟⠀⠀⠀⠇⢻⣿⡿⢉⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⠿⢈⣡⣼⠿⠛⠁⠀⠀⢀⣠⣴⠞⠋⠀⠀⠀⠀⣂⠀⠉⠻⣿⣿⣿⣿⠟⠛⠛⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠀⠀⠀⠀⢃⢿⢩⡏⢤⣈⠀⠀⠀⠀⣤⣖⣲⣶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠟⠛⠈⠉⠀⣀⣤⣤⡶⠟⠋⠉⠀⠀⠀⠀⠀⠀⢀⠿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⢨⣬⣿⣶⢹⠀⠀⠀⠀⠈⠁⠀⠀⠉⠉
⣿⣿⣿⣿⣛⣽⣿⡿⣿⣿⠀⠀⠀⠀⢀⣀⠠⢶⣛⣋⣉⣀⢀⣀⣀⢀⣀⡀⠀⣀⣀⣀⡾⠀⢻⣟⣂⡀⠀⠀⣀⣀⣀⡀⢀⣀⡀⢀⣀⣀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠰⠒⣲⣖⣚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣽⠿⢋⣾⣿⠾⠛⠁⣀⣤⡶⠞⠋⠉⠀⠘⢻⣿⣿⠛⢸⣿⣿⢸⣿⡇⢸⣿⣿⢿⡇⠀⠀⣿⣿⣿⣄⡀⣿⡿⣿⡇⢸⣿⡇⢸⣿⣿⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠈⣆⠷⢶⡼⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠟⠋⠁⠀⣂⣀⣤⡴⠾⠟⠋⠅⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⣾⣿⡇⢸⣿⣿⣿⡀⠀⠀⣿⣿⣿⡋⢸⣿⡇⣿⣷⠘⣿⣇⣿⣿⣿⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣭⣭⣭⣥⣥⠀⠀⠀⠀⠐⠶⠀⠀⠀
⣶⣶⣾⣿⣿⣿⣻⣶⣶⣶⣶⣟⡃⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢹⣿⡇⢸⣿⣿⡏⠀⠀⠀⣿⣿⡏⠃⢸⣿⣧⣿⣿⠀⣿⣿⣿⡇⣿⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢰⣖⡒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⢸⣿⡇⢸⣿⣿⣶⡆⠀⠀⣿⣿⣶⡆⣿⣿⠏⢿⣿⡆⢿⣿⣿⠁⢿⣿⣿⠃⣶⡆⣶⡆⣶⡆⣶⡆⠀⠀⠀⠰⠶⠭⠃⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣡⣞⠛⠀⠁⠀⠀⠀⠀⢀⡐⡆⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⡾⢻⡏⠀⠀⠀⠀⠀⠀⠀⠈⡇⣻⡤⠶⢜⡃⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣧⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣁⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⡿⢻⠻⣟⠛⠃⠀⠀⠀⠀⠀⠀⢿⢹⢸⣿⡯⠃⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣤⣌⣿⣿⣿⣿⣿⣿⣦⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⢲⠂⠀⠀⠀⠀⠀⠀
⣄⠀⠐⣧⣀⣤⣄⣈⠁⠀⠀⠀⢀⣸⡿⢛⣸⡟⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠻⢿⣿⡌⣇⠀⣶⣝⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠩⠀⠀⡘⠛⠉⠉⢉⣿⣦⣠⣴⡘⠀⢀⣼⡿⠃⢠⡆⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠈⠋⠃⢾⣦⣽⣿⣿⣷⣿⣿⠿⠟⢿⣿⣿⣿⣿⣿
⠀⠀⠘⠁⣠⣤⣤⣬⣿⣿⣿⣿⣿⣷⠘⠛⠁⣠⣿⣿⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠙⣿⣿⣿⠄⠀⠘⣿⣿⣿⣿⣿
⠀⠀⠈⠘⣿⣿⣿⣿⣿⣿⣿⣿⣫⣿⡇⠀⢀⣿⣿⡯⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⣼⣿⣿⣿⠿
⠀⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⠀⢸⣿⡟⠃⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣿⣿⣿⣿⣿⠟⠉⠀
⡇⠀⡄⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⣿⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠋⢡⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀
⣆⢀⣿⡿⠿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⡇⢀⢻⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⢁⣄⣀⣀⣿⣶⣽⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀
⣿⣿⣟⣀⣤⣿⣿⣿⣿⣿⣿⣷⣻⣿⣿⣇⢸⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡏⠉⠀⠀⠀⢹⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⢀⣆⢹⡿⠏⣸⡿⠀⠀⠀⠀⠀⠀
⣿⣿⡿⣿⣿⡿⡍⠻⠿⣿⣿⣿⣷⠹⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠏⢉⣀⣀⣴⣦⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⡈⠉⠀⢁⣴⡿⠃⠀⠀⠀⠀⠀⠀
⣿⠟⠂⠘⠻⣿⡉⠀⠀⣿⣿⣿⣿⣥⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣡⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠈⠿⣢⣶⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣧⡄⠀⠀⠈⠁⠀⠀⠀⠙⠿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⣠⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣋⣈⣙⣿⣿⣿⣧⡉⠉⠉⠻⣿⣿⣿⣿⣿⣿⣿⣧⣠⣤⣾⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠻⣿⣷⡦⠀⠀⠀⠀⠀⠀⠀⠀⢸⣦⠀⢲⣦⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣤⣧⣍⣿⣿⣿⣿⣿⣿⣿⡷⠐⠀⣀⣸⣿⣿⣿⣿⣿⠟⠉⠉⠻⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣾⣿⣿⣷⣶⣶⣦⣤⣤⣤⣤⣤⣶⣿⣆⢠⣿⡅⢠⣀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⣻⣭⣶⣶⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⢀⣬⠷⠀⠀⢀⡀⠀⠤⠀⢛⣛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⣿⣿⠸⣿⣿⣶⣀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣳⣿⣿⣿⣿⣿⡿⢿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠁⠀⠀⠀⠀⢀⣼⣿⠦⣀⣿⠁⢠⡿⢀⣻⠿⠎⢤⣾⣿⡿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣟⠀⠉⠛⠀⠸⠋⠁⠈⠀⠀⠀⠘⣿⣿⣿⣿⣿⣷⣦⣀⣀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣷⣿⣿⡀⠀⠀⠈⠁⠀⠋⠼⡿⠿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⣀⣻⠋⢸⣿⣿⣿⣿⣿⠟⠶⣤⣤⣀⣀⡀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⢀⣠⡴⠖⢻⣭⠅⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⢰⣿⡟⠀⢸⣿⣿⣿⣿⣿⣧⠀⠀⠀⠉⠉⠛⠛⠛⠿⠶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢠⣶⣶⣿⣻⣿⠟⠀⠀⠀⠀⠀⣠⠟⠛⢛⢻⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⣽⡟⠀⠀⠸⡿⣿⣿⡿⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⠿⠗⢉⣥⣾⠿⠻⠉⠀⠀⢀⣠⣴⠾⠋⠀⠀⠀⠑⡝⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⢀⡜⠀⠀⠀⠀⡗⡟⣻⣓⣈⠙⠀⠀⠀⢀⡤⢤⣤⣤⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠟⠛⠉⠉⠀⣀⣤⣴⡶⠟⠋⠉⠀⠀⠀⠀⠀⠀⢰⢿⣤⡀⠀⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠛⠀⠀⠀⠀⠀⡇⣃⣛⣺⡍⡇⠀⠀⠀⠘⠋⠉⠉⠉⠙⠛
⣿⣿⣿⣿⣫⣿⣿⡿⣿⣿⠀⠀⠀⠀⣀⣀⢰⠾⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠀⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⠌⠀⠀⠀⠀⠀⠀⣥⠼⠯⣭⡥⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣽⠿⢋⣾⣿⠾⠟⢉⣀⣤⣶⠿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⠀⠘⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣅⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⠨⣯⣭⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠏⠵⢒⣋⣠⣤⡴⠾⠿⢋⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠱⣿⠀⠀⠀⠘⣿⣿⣿⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣀⣬⠇⠀⠀⠀⠀⠀⠀⠀⠀⢘⢘⣛⣛⣛⣘⡇⠀⠀⠀⠀⢦⡄⠀⠀⠀
⣿⣶⣿⣿⣿⣿⣻⣶⣶⣾⣶⣟⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢬⢘⠏⠀⠀⠀⠀⠘⠛⣿⠒⠀⠀⠀⠀⠀⣤⣶⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢏⣼⠯⠭⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⡭⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢂⣿⣿⣿⣿⣿⣿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢬⣭⡿⠀⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣵⣞⠛⠀⠁⠀⠀⠀⠀⢀⠰⠠⢤⣀⠀⠀⠀⠀⠀⠀⠀⢰⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣾⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠰⠆⠈⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⡾⢻⡏⠀⠀⠀⠀⠀⠀⠀⢸⡖⣻⣤⡭⢜⢰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⡟⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⡿⠛⢻⡟⠛⠃⠀⠀⠀⠀⠀⠀⣧⢫⢾⣿⡏⡃⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣸⣾⣿⣿⣿⣿⣷⣶⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢠⡉⠀⠀⠀⠀⠀⠀⠀
⡀⠘⣴⣀⣀⣀⣀⡁⠀⠀⠀⠀⠀⠀⢿⣿⣿⡟⠀⠈⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠈⣿⣿⣧⠹⡄⠀⣝⠿⣿⣿⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠂⠀⠘⠻⠋⠉⠋⠒⠦⣄⣤⡆⠀⠀⣾⣿⣿⠀⢠⠀⠀⠀⠀⠀⣀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠈⠙⡿⠆⣿⡄⣻⣿⠦⣙⣻⣿⣿⣿⣿⣿⣿⣿⣿⡿
⠀⢠⠀⠀⠀⠀⣀⣄⣀⣸⣿⣿⣿⣿⠿⠟⠁⣠⣿⡆⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠁⠈⠙⣉⠉⠛⢿⣿⣿⣿⡀⠀⠹⣿⣿⡿⠋⠀
⠀⠀⠀⠀⠀⣨⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⢰⣿⣿⡇⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠉⠁⠀⠀⢹⠏⠀⠀⠀
⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⡳⣻⣿⡇⠀⣼⣿⢿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣶⡄⠀⠀⠀⠀⠀
⠃⣴⣀⣠⣾⣿⣿⣿⣿⣿⣿⢹⣿⣿⣷⠀⢻⡿⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀
⢀⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠸⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠩⠀⠛⠛⢛⣿⠿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠁⢹⣧⠀⠀⠀⠀⠀⠀
⣼⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⡀⡆⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣤⣀⣀⣴⣶⣦⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⡀⠉⠈⠀⢸⣿⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⠿⠿⣿⣿⣟⠛⢻⣷⡿⣿⣿⡇⠉⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡿⠟⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⡄⠀⠀⢿⣿⣶⣺⣿⣷⠘⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⠏⣀⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⢠⣦⠀⢀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀
⠉⠀⠁⠉⠉⠀⠀⠀⢹⣟⠿⣿⣿⠾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢉⣴⣿⠏⠁⠀⠀⠀⠀⠀⠀⠀⢠
⣆⠀⠀⠀⠀⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣠⣶⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣟⢀⠀⠀⠀⠀⠀⠀⠀⣿⣦⡤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⢿⢿⣯⣤⣤⣾⣿⣿⣿⣷⡀⡀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣷⣶⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣵⣼⣷⣤⣤⣀⠀⠀⠀⢙⡿⠷⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣿⣽⣿⣿⣿⣿⣿⣿⡿⠃⢀⣴⣶⣿⣿⣿⣿⣿⠟⠁⠀⠀⠙⠁⠀⠀⠀⠐⣦⠄⠀⣀⣀⣀⣀⡠⠤⠤
⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣿⣷⢿⡷⠄⢸⣿⡆⢿⣶⣤⡀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣭⣵⣶⣿⣿⣿⣿⣿⣿⠿⠟⠁⠀⠀⠀⠀⢀⣦⡀⢀⡶⠋⣡⡶⠰⣶⣆⠋⣁⣠⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣆⠀⠘⠃⠀⠣⠛⠙⠂⠀⠀⠈⣿⣿⣿⣿⣿⣿⡿⠿⠛⠿⠻⠟⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⢠⣴⣿⣿⣍⣾⡇⠈⠻⢥⡾⠋⣩⣶⡿⣿⣿⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣨⣿⣿⣿⣿⣿⣿⣷⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠀⠀⠀⠀⠀⢀⣴⠟⣿⣿⣿⣿⣿⣷⣄⡀⠈⠉⠀⠈⠛⠃⠈⠙⠻
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⣀⣤⡶⠞⢫⣥⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⢠⣶⡞⠀⢿⢿⣿⣿⣿⣿⡈⠙⠛⠻⠶⢶⣤⣤⣤⣤⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣴⣶⣾⣟⣻⣿⠏⠀⠚⠀⠀⠀⣠⠿⢿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⢸⡿⠁⠀⣿⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣯⠿⡃⣉⣤⣾⠿⠛⠁⠁⠀⢀⣠⣴⠞⠋⠀⠀⠉⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⡽⠁⠀⠀⢸⢸⣿⣿⡟⠾⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠟⠇⠉⠉⠀⣀⣤⣴⡶⠟⠋⠉⠀⠀⠀⠀⠀⠀⢸⡄⠀⠉⠻⣿⣿⣿⡿⠿⠟⠛⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠾⠁⠀⠀⠀⢸⠸⡃⣶⣲⢶⡄⠀⠀⠀⣶⣯⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣭⣿⣿⠿⣿⣷⠀⠀⠀⠀⣀⡁⣴⠾⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⢹⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡰⠀⠀⠀⠀⠀⠸⡔⠶⠾⠿⢏⡇⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣯⡿⠟⣩⣿⣷⠿⠛⢁⣠⣤⣶⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠈⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠏⠀⠀⠀⠀⠀⠀⠐⡟⡏⢻⢿⣽⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠟⠭⠿⣓⣋⣠⣤⡴⠾⠟⢫⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⢶⡟⠀⠀⠘⣿⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⣯⣟⣛⣆⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣶⣿⣿⣿⣿⣳⣶⣶⣾⣶⣟⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣛⢸⠇⠀⠀⠀⠙⢿⣭⣿⠋⠀⠀⠀⠀⠀⡀⣀⣠⣀⣀⣄⡾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢴⠶⠿⠥⠾⠀⠀⠀⠀⠹⠆⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣂⡜⠀⠀⠀⠀⠀⠀⠙⠫⠀⠀⠀⢀⠀⢰⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢼⣿⡛⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣟⣵⡟⠋⠀⠁⠀⠀⠀⠀⡀⣆⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⣼⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡘⣛⠒⠀⠀⠀⠀⡉⠁⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣯⡿⣽⡇⠀⠀⠀⠀⠀⠀⠀⣷⢰⣂⣊⡁⠗⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⡚⣿⣍⣹⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⠿⢗⣿⡟⠛⠁⠀⠀⠀⠀⠀⢻⡸⡡⣶⣞⢻⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣷⣂⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⣀⡈⠙⠛⠃⠀⠀⠀⢀⣀⠛⢏⣷⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣴⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠸⣧⣿⣇⢻⡀⢸⡻⢿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿
⠀⠀⣹⠟⠛⠛⠳⠦⠄⣀⠖⠀⠀⠈⢁⣾⡟⠀⢀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠈⢹⣿⡎⣷⡀⢿⣧⣭⣛⢿⣿⣿⣿⣿⣿⣿⡿⠋⠀
⢀⣴⣶⣦⣤⣄⡐⣀⠀⠀⠀⢀⣴⣄⣼⠟⠁⢠⣏⡀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠓⠳⠟⠛⡛⡿⣿⣿⣿⣿⠉⠀⠹⣿⡿⠁⠤⠀
⢹⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⢛⡍⠀⠀⢰⣿⣿⠁⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠈⠿⠟⠛⠉⠀⠀⢹⠿⠀⠀⠀
⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣷⡀⠀⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣆⠄⠀⠀⠀⠀⠀⠀
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⡆⠀⣿⡇⠉⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⡿⣿⡀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠁⡤⢼⢿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠟⠀⢿⣇⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡘⠃⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠉⣤⣄⣀⣼⣷⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣿⠀⠇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡏⠉⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡟⠀⠀⠀⠀⠀⠀
⣿⣿⣏⠀⠉⢿⣿⣿⣿⣿⣿⣿⡎⠻⠛⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠿⢉⣄⣀⣴⣦⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⢠⡆⠀⠀⣠⣾⠏⠀⠀⠀⠀⠀⠀⠀
⠙⠛⠿⠂⠀⠀⠉⢻⣿⣿⣿⣿⣧⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣋⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠈⠁⣤⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⢠
⡀⠀⠈⠀⠀⠀⠀⢹⣿⣯⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⢀⣤⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣧⠀⠀⠀⠀⠀⠀⠀⣿⣷⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣟⣉⣉⣿⣿⣿⣿⡌⠉⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣶⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣀⣀⠀⠀⠀⠀⠀⢹⣿⣿⣄⠁⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣄⣩⣟⣻⣿⣿⣿⣿⣿⣿⡿⠏⠐⣠⣼⣿⣿⣿⣿⣿⠿⠋⠉⠙⠿⠋⠀⠀⠀⠠⣄⣀⠀⠀⠀⠀⠀⠀⣀⡀
⣿⣿⣿⣿⣷⣶⣶⣾⣾⣶⣿⣿⣷⣶⠀⢿⣿⠐⣷⣤⡀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣟⣯⣥⣴⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⣀⡀⠀⣤⠖⣫⣭⢉⣬⣾⣿⣿⢙⣉⣭
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣆⠀⠀⡺⠀⠈⣻⣿⡲⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠉⠀⠀⠀⠀⠀⣠⣾⣿⡷⣼⠇⠸⣿⣏⣬⠟⢻⣿⣿⣿⣿⠛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣻⣿⣿⣿⣿⣿⣟⣄⣀⣤⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠀⠀⠀⠀⠀⠀⣠⡾⣿⣿⣿⣿⣿⣆⠀⠙⠛⠖⠀⠾⣿⣏⠻⠿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣀⣤⡶⠞⣻⣭⡀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⣤⣿⠀⣿⣿⣿⣿⣿⣿⠓⠶⣤⣤⣄⣀⡀⠀⠀⠁⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣴⣶⣾⣟⣻⣿⠏⠀⠙⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀⣿⢸⣿⣿⣿⣿⡇⠀⠀⠀⠉⠉⠛⠛⠻⠿⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣟⣭⠶⠊⣋⣡⣼⠿⣻⡍⠌⠃⢀⣀⣴⡾⠋⠀⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠠⣿⠃⠀⠀⠹⠸⣶⣿⠿⣽⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠋⠛⠉⠀⢀⣠⣤⣶⠿⠛⠋⠀⠀⠀⠀⠀⠈⢟⠉⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⢸⢸⠛⣯⣙⣉⠙⠀⠀⠀⣠⡤⣤⣤⣤⣤⣤
⣿⣿⣿⣿⣭⣿⣯⡿⣿⣷⠀⠂⠀⠀⣀⡁⣴⡾⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⣦⡀⠀⠉⠉⠉⠋⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⠃⠀⠀⠀⠀⢸⢨⣜⣻⣶⢹⡓⠀⠀⠀⠛⠛⠛⠛⠛⠛⠿
⣿⣯⣿⠟⣩⣿⣷⠾⠛⢁⣠⣤⣶⠿⠛⠃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⠁⢹⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡟⠁⠀⠀⠀⠀⠀⢸⠴⠿⢽⣭⣼⡃⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠟⠭⠷⠛⣋⣠⣤⡴⠾⠿⢫⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣨⡏⠀⠀⢻⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠙⠅⠀⠀⠀⠀⠀⠀⠀⠰⡆⡇⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣶⣿⣿⣿⣿⣻⣶⣷⣶⣶⣟⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢿⠃⠀⠀⠀⠻⣿⣿⣯⡆⠀⠀⠀⠀⠀⠀⠀⡀⢀⣀⣀⣼⠎⠀⠀⠀⠀⠀⠀⠀⠀⠐⠐⣛⣛⣿⣛⣋⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣁⡟⠀⠀⠀⠀⠀⠘⠿⢉⡀⠀⠐⣰⢦⣶⣶⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⣭⡭⠭⢁⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣟⣵⡟⠋⠁⠁⠀⠀⠀⠀⠀⡄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⣼⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣽⣛⠀⠛⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣧⡿⣽⠃⠀⠀⠀⠀⠀⠀⠀⡇⠷⢌⣛⡲⠆⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠴⠋⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⠿⡗⣿⠛⠛⠁⠀⠀⠀⠀⠀⣿⢸⢫⡽⣷⢆⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣯⣷⣿⣵⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢉⠛⠛⠛⠛⠃⠀⠀⠀⢀⡶⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⢸⣆⣻⡏⢧⠀⢸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀
⠀⠀⢳⡿⠿⠷⠤⠄⠀⣠⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠛⣿⢻⡘⣧⠈⣷⣮⣝⠻⣿⣿⣿⣿⣿⡿⠋⣶⠂⠀
⣿⣿⠇⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠀⢠⡇⠀⠀⠀⠀⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠈⠋⠕⢿⠷⠿⠿⣿⣿⣾⣿⠛⠉⠻⣷⣾⠁⠁⠀
⣿⣿⣿⣿⣿⣷⣶⡆⠀⠀⠀⠀⠀⡀⠁⠀⣠⣿⣿⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⠿⠿⠂⠀⠀⢻⠒⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⣸⣧⠀⠀⣿⣿⣿⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡆⠀⠀⠈⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢴⣿⣿⡄⢠⣿⡏⠋⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣩⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡴⣷⠄⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣇⠀⣿⠁⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢋⣉⣽⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠿⠀⣿⡆⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⢠⠘⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠁⠈⢂⣀⡁⠀⣽⣯⣽⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡝⣿⣿⣿⠈⠇⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠟⠋⠉⠉⠉⢿⣿⣿⣿⣿⣿⣶⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠀⠀⠀⠀⠀⠀
⣿⡀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⡘⢿⠟⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⡟⠛⠀⢀⣠⣀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⢀⡀⠀⠀⢀⣴⡿⠁⠀⠀⠀⠀⠀⠀
⡟⠃⠀⠀⠀⠈⢻⣿⡿⠟⣿⣿⣇⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⢋⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠘⠃⣀⣴⡿⠏⠀⠀⠀⠀⠀⠀⠀⠀
⠁⠀⠀⠀⠀⠀⠘⣿⣿⡋⠹⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⣠⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠻⣿⣿⣿⡏⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⣤⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣄⠀⠀⠀⠀⠀⠀⠘⣻⣿⣿⡉⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⣈⡙⠿⠿⣶⣶⣿⣿⣿⣿⣿⣷⠂⠀⠀⣹⣿⣿⣿⣿⣿⡿⠛⠙⠻⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣷⣶⣶⣶⣶⣶⣽⣼⣿⣿⣦⣤⠀⣷⣷⢠⣦⡀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣶⣿⣿⣿⣿⣿⡿⠟⣉⣠⣶⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠈⠀⠀⠀⠀⣀⢜⣟⣶⡤⣤⣤⣤⠀⡲⠶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣍⣁⠀⠀⠈⠀⠙⣻⡷⠄⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣶⣾⣿⣿⣿⣿⣿⣿⣿⠟⠛⠁⠀⠀⠀⠀⢀⣤⣿⣦⣠⡟⢡⣾⡿⠰⣿⣿⣿⢋⣴⣶⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⣿⣿⣿⣿⠉⠉⠉⣉⣉⣩⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣦⣿⡁⠘⠻⣧⣞⣉⣩⣯⡾⣿⣿⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⢀⣠⣤⠶⢛⣋⡙⢿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⢀⣿⠁⣿⣿⣷⣿⣿⡷⣄⣀⠉⠉⠀⠉⠛⠷⠈⠙⠻
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⣤⣶⣶⣿⢛⣿⡟⠀⠻⠉⠁⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⣾⠎⠀⣿⢹⣿⣿⣿⣿⡆⠉⠛⠿⠶⢶⣤⣤⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⣫⡽⠐⠛⣉⣼⡿⢿⡋⠀⠀⠀⠀⣠⣴⠟⠉⠻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⠀⠀⣿⢸⣝⣿⣿⠿⡇⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠾⣿⡷⠶⠐⠛⠋⠉⠀⣁⣠⣤⡶⠿⠛⠉⠀⠀⠀⠀⠀⡟⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠃⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⢠⢸⣿⡿⢽⡿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣟⣫⡿⣿⡿⣿⣯⠀⠐⠀⠀⠀⠀⣠⣴⡶⠟⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡶⡄⠀⠀⠛⠻⠿⠛⠛⠛⠙⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⡋⠀⠀⠀⠀⢸⢸⢀⣿⣓⢶⣄⠀⠀⠀⣶⣯⣿⣿⣶⣶⣶
⣿⣯⣿⠿⣫⣾⣿⡾⠟⠁⣀⣤⣤⡶⠟⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡶⠊⠀⠀⠀⠀⠀⢸⠘⣷⠿⠿⢸⡆⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉
⠛⡉⠷⠴⠚⣉⣡⣤⡶⠿⢋⠇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢘⡏⠀⠘⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠜⠁⠀⠀⠀⠀⠀⠀⢸⠈⡏⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣶⣶⣾⣿⣿⣿⣻⣶⣶⣾⣶⣟⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⣿⠁⠀⠀⠘⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡈⠀⠀⠀⠀⠀⠀⠀⠀⢘⢀⣧⣿⣻⣾⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡾⠀⠀⠀⠀⠈⢣⣜⠊⠀⠀⠀⠀⠀⢀⣀⣴⣦⣤⣦⣦⠎⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠿⠯⡥⠇⠀⠀⠀⠀⣦⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⡿⣳⠟⠛⠁⠁⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠻⠃⠀⠀⠀⠀⠀⠀⠘⠡⠀⠀⠀⢠⣀⣾⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⠃⣤⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣏⡿⣻⠂⠀⠀⠀⠀⠀⠀⠐⡌⣧⠉⠳⢠⡄⡀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⡟⣿⣿⣿⡿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠻⠾⠇⠀⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⠿⡗⣿⠛⠛⠁⠀⠀⠀⠀⠀⡇⠶⣛⣯⣭⣆⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣯⣷⣿⣄⣹⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠙⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠈⠛⠿⠿⠿⠟⠙⠁⠀⠀⣠⠼⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣈⡀⠀⠀⠀⠀⠀⠈⠀⢈⡻⢿⡧⡄⠀⠸⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉
⠀⠼⣶⠶⢶⣦⣤⡀⠀⠀⡠⠔⠈⠉⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡄⠀⠀⠀⠀⠀⠘⣷⣮⠑⠘⣆⠀⣿⣻⣿⣿⣿⣿⣿⣿⣿⠟⣿⣦⠀⠀
⣦⡘⠁⠀⠀⠀⠈⠁⠐⠊⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠈⠿⣶⣄⢨⡄⣹⣿⣷⣮⣙⣿⣿⣿⣿⣴⡃⡏⠀⠀
⣿⣷⣶⣿⣿⣦⣤⣴⣶⣶⣤⣄⡀⠀⠶⠃⢀⣼⣧⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠁⠙⠛⠛⠙⠻⣿⣿⣿⣏⠀⠈⢻⠂⠀⠀⠀
⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣷⡄⠀⠀⣿⣿⡏⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀
⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢾⣿⣷⠀⢠⣿⡿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⡆⠘⣿⠁⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⣿⡇⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⡇⠀⠻⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠉⢠⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢿⣿⣿⡇⠸⡄⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠈⢠⣤⣀⣠⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀
⣾⣿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣇⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⡟⠉⠉⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠀⠀⠀⠀⠀⠀
⣿⣿⠀⠈⠙⠻⠻⠿⠿⠿⠿⣿⡆⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡿⠁⣀⣀⣠⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠐⠀⠀⣠⣾⡟⠁⠀⠀⠀⠀⠀⠀
⡿⠁⠀⠀⠀⠀⠀⠀⢀⠀⢀⣼⡷⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣏⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⣠⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⢸⡄⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⢀⣠⣾⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⠀⠀⠀⠀⠀⠀⠀⢸⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⣻⣿⣿⣿⣍⠙⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣶⣶⣮⣭⣷⣤⣤⡀⢀⣴⡄⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⡈⢻⡿⢿⣿⣿⣿⣿⣿⣿⣿⡷⠆⠄⢀⣽⣿⣿⣿⣿⣿⠿⠋⠙⠿⡿⠃⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⡀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠃⠈⠻⡟⠈⢧⡄⡀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢟⣛⣥⣤⣾⣿⣿⣿⣿⣿⡿⠉⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠈⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀⢀⣠⣼⡷⡆⣠⡞⣩⣿⡟⣽⣶⣲⣷⡖⣈⣭
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⢀⣠⣤⡴⠞⣿⣿⣿⣿⣿⣯⣁⣀⣭⣭⣥⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⢀⣴⢸⣿⣿⣧⣴⡟⠀⠷⡿⢁⡽⠿⢟⡏⣿⣿⡿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣠⣤⣴⣶⠾⢿⣿⡆⢸⡟⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⣠⣿⠀⢸⢿⣿⡾⣿⣷⡀⠀⠐⠢⠀⠀⡿⢷⣛⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⣋⠨⠿⠟⢋⣿⣿⠿⡋⡀⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⢀⣽⠇⠀⢸⢸⣿⣿⣿⣿⣿⢲⣤⣀⣀⠀⠀⠀⠉⠀⠝
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣭⢰⡶⠿⠛⠋⠓⠁⢀⣀⣤⣴⠾⠛⠁⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⢸⠏⠀⠀⢸⢸⠿⣿⣿⣿⣿⠀⠈⠉⠙⠛⠿⠶⣶⣤⣤
⣿⣿⣿⣿⣟⣫⣿⣻⣿⣿⡅⠀⠈⠁⠀⠀⠀⣀⣤⣴⠶⠟⠛⠋⠁⠀⠀⠀⠀⠀⠀⠙⠈⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⢀⣠⠏⠀⠀⠀⢸⢸⣿⣻⣟⣶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣫⣾⠟⣩⣿⣭⣾⠟⠁⠀⣀⣤⣴⠐⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡶⡄⠀⠘⠛⠛⠛⠛⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠋⠀⠀⠀⠀⢸⢸⠉⣿⡭⣭⡘⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀
⡟⡛⡹⡔⠦⠛⠋⠉⢠⠴⠾⡟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⠃⠀⠀⠀⠀⠀⢸⢸⣬⣿⣿⢸⡏⠀⠀⠀⢿⠿⢿⣿⣿⣿⣿
⣶⣦⣴⣶⣶⣾⡻⣷⣶⣶⣦⣟⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣱⡏⠀⠈⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠟⠁⠀⠀⠀⠀⠀⠀⢸⠰⠿⣿⣿⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉
⣿⣿⣿⣿⣿⣿⣿⡽⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⢹⠀⠀⠀⠈⢿⡿⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡖⠀⠀⠀⠀⠀⠀⠀⠀⢸⢠⣇⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣷⣟⡿⠇⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣆⡏⠀⠀⠀⠀⠀⠹⢞⡅⠀⠀⠀⠀⠀⣠⣶⣿⣿⣾⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠘⣻⣿⡿⠟⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⢯⢾⡇⠀⠀⠀⠀⠀⠀⢀⠸⡖⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠼⠉⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠠⠈⢰⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡏⣿⣿⣿⠇⠀⠀⠀⠘⡷⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⠋⣿⠛⠛⠁⠀⠀⠀⠀⠘⡇⣻⣤⣭⢼⡳⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣟⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣧⣿⡟⠁⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠙⠻⠿⣿⣿⡾⠇⠀⠀⠀⠀⠿⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣶⣿⣿⣿⣿⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠸⠋⠙⠻⢷⡤⡀⠀⠀⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉
⠀⠐⣶⡶⠶⢶⣤⠀⠁⠀⠀⣠⣦⠈⠁⢠⣾⠃⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⣧⢄⠁⠙⡄⠀⢻⢿⣿⣿⣿⣿⣿⣿⣿⢿⣷⣆⠀⠀
⣤⠂⠁⠀⠀⠀⠈⠁⠐⠖⠈⠀⠀⢀⣴⣿⠃⠀⡁⠀⠀⠀⠀⠀⠀⣀⣤⣤⣶⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠘⣿⣶⣄⠀⠀⠸⣿⣿⣍⡻⣿⣿⣿⣡⡾⢸⠃⠀⠀
⠅⠀⠀⠈⠉⠀⣤⣶⣿⣷⣶⣤⣴⣿⡿⠟⠀⣸⡁⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠈⠻⢴⣿⠶⠿⣿⣿⣿⣷⣿⠛⠙⠻⠀⠀⠀⠀
⠀⣠⣄⡀⢀⣾⣸⣿⣿⣿⣿⣿⣿⡁⠀⠀⣴⣿⡏⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡿⠿⠿⠂⠀⠀⠀⠀⠀⠀
⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⣿⣿⡇⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣼⣿⣿⡀⠸⣿⠁⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⡇⠀⢿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢸⣿⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⢿⣿⣿⡇⢠⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⢡⠀⠘⠛⠛⣻⠛⢿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⢿⣿⣷⠈⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠻⠻⣿⣿⣿⣿⣧⣤⣄⣀⣴⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀
⣿⣿⣿⣿⡏⠙⠛⠛⠟⠿⠻⣿⡌⠻⠁⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⠿⠃⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠀⠀⠀⠀⠀⠀
⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⣀⣨⣧⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⠋⣠⣶⣶⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⣀⣴⡿⠟⠀⠀⠀⠀⠀⠀⠀
⠿⣿⠟⠁⠀⠀⠀⠀⠠⣄⠘⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⣠⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡷⠿⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⣠⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣷⣾⣿⣷⣶⣶⣶⣶⣿⣧⡀⢠⣤⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⠿⣿⣿⣯⣀⣠⣽⣿⣿⣿⣤⡀⡀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⠉⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠃⠈⠛⡏⠐⣆⠀⠀⠀⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣘⣯⣻⣿⣿⣿⣿⣿⣿⣿⠋⠀⣀⣤⣿⣿⣿⣿⣿⡿⠋⠀⠀⠙⠻⠁⠀⠀⠀⠉⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠈⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣟⣫⣭⣶⣶⣿⣿⣿⣿⣿⣿⡿⠏⠀⠀⠀⠀⠀⠀⢰⣦⡀⠀⠀⣀⣀⣸⣿⣿⣿⣿⣿⡿⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣿⣿⣿⣿⣿⣽⡿⠿⠟⠿⠿⠿⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⢀⢠⣦⣿⣿⢻⣠⡾⠓⣾⡟⢱⣿⣏⣿⣿⣏⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣀⣤⣤⣶⣶⢿⣿⡦⠀⡿⣿⣿⣿⣿⣿⣷⣦⣤⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⣤⡟⢠⣿⣿⠟⣿⣿⠁⠘⠟⠁⣴⠿⠛⣿⢽⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣋⢨⡿⠟⠋⣹⣿⡿⠟⢁⠀⠁⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⢰⡿⠀⢸⣿⣿⣀⡿⣿⣆⠀⠀⠀⠀⠀⠘⠿⢞⡻⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣭⢠⣶⠶⠟⠟⠉⠒⠀⢀⣀⣤⣴⠞⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠠⡿⠁⠀⢸⢸⣟⣿⣿⣿⣾⠓⢦⣤⣀⣀⠀⠀⠀⠀⠈
⣿⣿⣿⣿⣟⣫⡽⣟⣿⣿⣏⠀⠨⠉⠁⠀⠀⠀⣀⣤⣴⠶⠞⠛⠉⠉⠀⠀⠀⠀⠙⢿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⢸⢘⣇⣻⣿⠿⢻⠀⠀⠈⠉⠛⠛⠷⢶⣶⣦
⣿⣿⣿⣽⠿⢫⣿⣯⣴⠿⠃⠀⢀⣀⣤⠰⠾⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠈⠻⣿⣿⣿⣿⣿⢿⠿⠿⠟⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠠⡾⠁⠀⠀⠀⢸⢸⣿⣭⣭⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣛⣋⢥⡔⠟⠛⠉⢁⣤⡶⠟⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⣧⡄⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡜⠁⠀⠀⠀⠀⢸⢘⠂⣿⣷⢶⣄⡀⠀⠀⠀⢀⣀⣀⠀⠀⠀
⣷⣦⣤⣶⣶⣶⡾⣷⣶⣶⣦⣟⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⡾⠀⠸⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⢸⠸⣶⣿⣿⢿⡇⠁⠀⠀⠸⠯⢿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⡽⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⢸⠃⠀⠀⠹⣿⣿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⢸⠸⡟⣻⣿⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉
⣿⣿⣿⣿⣿⣿⣿⣷⣟⣻⠇⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡞⠀⠀⠀⠀⠙⢯⣉⡂⠀⠀⠀⠀⠀⠀⠀⣀⡠⣄⣀⣀⣰⠒⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⣇⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⢯⣾⡏⠀⠀⠀⠀⠀⠀⠀⢰⡦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠛⠁⠀⠀⠀⠀⠀⠀⠑⠣⠀⠄⢠⠠⠔⣴⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢈⣿⣿⣟⣋⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⠟⣿⠛⠛⠁⠀⠀⠀⠀⠰⡇⢖⣀⣉⡹⠦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣔⣻⣿⣿⣿⣿⣿⣿⣵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡏⣿⣯⣿⡅⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠙⢿⣿⣿⣦⠇⠀⠀⠀⣰⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠋⠉⠀⠀⠀⠘⡿⠿⢿⣆⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠉
⠀⠀⠺⠷⠶⠶⠎⠙⠛⠋⠀⠀⢴⣾⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣶⣶⣶⣶⣶⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠈⠁⠀⣈⠛⢿⠳⡀⠀⠹⣿⣿⣿⣿⣿⣿⠿⣯⣤⠀⠀⠀
⡔⠂⠀⠀⠀⠀⣀⣰⣶⣆⠈⢡⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⢹⠄⣌⠃⠱⣄⠸⣿⣿⡙⠻⣿⣏⣼⠟⠃⠀⠀⠀
⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⡄⠀⠀⠀⠀⠀⠀⣠⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠁⢻⠙⠀⣿⣄⣽⣿⣿⣷⣈⣿⣿⡶⣦⠀⠀⠀
⠀⣀⣾⣷⣾⣿⣿⣿⣛⣿⣿⣿⣿⡏⠀⠀⢀⣾⣷⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠉⠉⠚⠻⣿⣿⣿⡇⠀⠀⠀⠀⠀
⠚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢟⣵⡀⠀⢸⣿⣿⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠉⢉⡁⠀⠀⠀⠀⠀
⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⣿⣷⡇⠀⣼⡟⠁⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⠀⠸⡇⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀
⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⣿⠀⡀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀
⡷⠀⠀⠀⠉⢿⣿⣿⣿⣿⣿⣖⢿⣿⣿⡆⠁⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠻⠛⠀⠀⠐⠛⢛⣟⡛⢿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀
⡷⠀⠀⠀⠀⠀⠀⠈⠀⠙⢿⣿⡄⠻⠟⠃⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⠛⣿⣿⣿⣿⣿⣤⣤⣀⣠⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀
⣿⡄⠀⠀⠀⠀⠀⣀⠄⠀⠀⠙⠟⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⠟⠃⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠁⠀⠀⠀⠀
⠈⠁⠀⠀⠀⠀⠀⣿⡖⡇⠐⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⠛⣁⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⣀⣴⡿⠋⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣯⣭⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⣠⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀
⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣄⠀⣦⣄⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⣠⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠿⠀⠻⠿⠃⠄⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣋⣉⣹⣿⣿⣿⣷⡄⡈⠉⠉⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⡿⠋⠀⠀⠼⠿⣿⣿⣿⣷⣶⣶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡄⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣼⣿⣛⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⣀⣤⣿⣿⣿⣿⣿⠏⠉⠁⠙⠿⡟⠁⠀⠀⠀⠀⠀⠀⠛⢿⢿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢹⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⣛⣯⣴⣶⣶⣿⣿⣿⣿⣿⠿⠁⠀⠀⠀⠀⠀⠀⢸⣿⡆⠀⠀⣀⡤⣠⢚⡛⢛⣛⣛⣻
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⣠⣤⣤⣶⣶⡿⢿⣷⡆⢸⣿⣿⣿⣿⣿⣻⠿⠿⠿⠿⠿⠿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⠟⠀⠀⠀⠀⠀⠀⠀⢀⣧⣿⡟⢸⣤⡾⠋⢸⡏⠉⣶⣯⣻⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣋⡀⣴⠶⠛⢉⣛⣷⡿⠏⠀⠀⠈⢿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⢀⣰⠂⢸⣿⣿⠻⣿⣿⡃⠀⠈⠁⣾⡿⣛⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣶⣿⣯⣄⣶⡶⠾⠿⠋⠑⠀⠀⠀⣀⣠⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⢸⢹⣷⣤⣽⣿⣇⠀⠀⠀⠀⠙⠻⢿⣟⣿
⣿⣿⣿⣿⢿⣭⣵⢟⣽⣿⣯⠁⠀⠉⠁⠀⠀⠀⢀⣀⣤⣴⡶⠾⠛⠋⠉⠀⠀⠈⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⢰⠟⠀⠀⣸⢾⡟⣿⣿⣿⢺⠓⢶⣤⣀⡀⠀⠈⠙⠙
⣿⣿⣯⣵⠿⢋⣵⣿⣵⡿⠏⠀⠀⣀⣠⡀⡶⠾⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⢀⠀⡟⠀⠀⠀⢿⢸⣌⣛⣯⠙⢡⠀⠀⠈⠙⠛⠷⢶⣤⣤
⣿⠉⣋⣴⡾⠞⠛⠉⠉⢠⣤⠶⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⢤⠀⠻⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⢴⠞⠀⠀⠀⠀⠈⣴⢯⣭⡥⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠈
⣿⣷⣶⣶⣶⣶⡺⣷⣶⣶⣦⣟⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢡⠇⠘⣇⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠉⠀⠀⠀⠀⠀⣞⢸⢠⣿⣶⢶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣷⡽⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⡼⠀⠀⢹⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⣿⠸⠶⢿⣿⢸⡏⠀⠀⠀⢰⣞⣻⣷⣦⣤
⣿⣿⣿⣿⣿⣿⣿⣷⣿⢛⡥⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⢠⠁⠀⠀⠀⠻⣟⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠂⠀⠀⠀⠀⠀⠀⠀⡿⢻⢛⣿⣲⣿⡇⠀⠀⠀⠀⠀⠈⠉⠙⠻
⣿⣿⣿⣿⣿⣿⢿⣵⡟⠉⠀⠀⠀⠀⠀⠀⠀⡄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠎⠀⠀⠀⠀⠀⠘⢿⣿⡔⠀⠀⠀⠀⠀⠀⢀⣤⣄⣤⣠⣤⡼⠄⠀⠀⠀⠀⠀⠀⠀⠀⡗⣿⡸⠿⣿⢹⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⠟⢻⡟⠛⠁⠀⠀⠀⠀⠀⡄⣧⠭⠿⢢⡄⡀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢠⣶⣤⣴⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣙⣛⣛⣛⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠽⣿⣿⣿⣽⠅⠀⠀⢀⣾⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠹⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠛⠋⠀⠀⠀⠘⣿⣿⣿⣄⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠉
⠀⠀⡿⠿⠿⠿⢿⢿⡿⠋⠀⣠⣴⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠃⠀⠈⠛⣷⠢⠀⠀⠸⣿⣿⣿⣿⣿⢿⣭⡀⠀⠀⠀
⣿⣿⣶⣀⣀⣀⣅⢤⣅⡀⠚⣻⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⢸⠀⢹⣧⠱⡄⠐⣿⣯⡛⢿⣁⡾⠹⠁⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⠿⠿⠛⠀⣰⠂⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠺⠛⠀⣿⡄⣻⣿⣿⣧⠙⣿⣦⡤⣤⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣟⣷⠀⠀⠀⣼⣿⡧⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠛⠛⠉⢿⣿⣿⣿⣏⠁⠈⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣽⡇⠀⠀⣿⣿⡇⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠋⠁⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣿⣿⠀⠠⣿⠋⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀
⣿⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⡇⠀⢿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀
⣏⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀
⣿⠀⠀⠀⠛⢿⣿⣿⣿⣿⣿⣿⠘⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠻⡟⠉⠉⠉⠉⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀
⣿⡄⠀⠀⠀⠀⠀⠈⠈⠛⢿⣿⣧⠈⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⡿⣿⣿⣿⣿⣯⠀⠀⠀⠀⣤⣤⣤⣴⣦⣤⣼⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀
⣿⣧⠀⠀⠀⠀⠀⣄⠀⠀⠀⠙⣿⣡⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠃⠀⠀⠀
⠹⠿⠀⠀⠀⠀⠀⣿⣖⣇⡈⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⠟⢋⣡⣤⣤⣶⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠃⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣯⣭⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⣠⣾⡿⠋⠀⠀⠀⠀⠀⠀
⣶⣶⣶⣶⣶⣶⣶⣶⣾⣶⣶⣶⣾⣤⠀⢠⣄⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⣠⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠇⠸⠿⠇⠰⡀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣍⠉⠛⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣤⣾⠿⠃⠐⠿⢶⣶⣶⣶⣶⣶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⣙⣻⣿⢿⣶⣶⣾⣿⣿⣿⣿⣷⠂⠀⠀⢀⣿⣿⣿⣿⣿⡟⠛⠛⢿⣿⡿⠃⠀⠀⠀⠀⠀⠘⠻⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⡿⠿⣋⣀⣴⣾⣿⣿⣿⣿⣿⠋⠁⠀⠀⠀⠙⠁⢸⣷⠀⠀⣠⣤⣤⣜⡋⢹⣭⣿⣟
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⣤⣤⢶⣾⣿⠿⢿⣿⡆⠠⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣽⣷⣾⣿⣿⣿⣿⣿⢿⣿⡿⠋⠁⠀⠀⠀⠀⠀⢀⢰⣾⠃⣧⣼⠋⢙⡿⠋⣶⣿⣼⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⣋⡄⠴⠞⠋⢡⣾⣿⠿⡯⠀⠀⠉⢿⣿⣿⣿⣿⣧⣀⣀⣤⣤⣤⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠀⠀⠀⠀⠀⠀⣀⠀⣿⣹⡟⢲⣿⡟⠀⠀⠁⢰⣿⢋⣻⡿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣾⣿⣿⡆⣶⡶⠿⠟⠋⠗⠂⠀⢀⣀⣠⣴⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⢀⣴⠃⠀⡿⣿⡷⣬⣿⡷⣄⠀⠀⠀⠀⠑⢿⣿⡿
⣿⣿⣿⡿⢻⣥⡶⢛⡽⢿⣿⠀⠀⠀⠀⠀⠀⠈⢀⣠⣤⣶⠶⠿⠛⠋⠉⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⣿⠏⠀⠀⡷⣿⢱⣾⣿⡿⠛⠻⠦⣤⣀⡀⠀⠁⠀
⣿⣿⣯⣾⠟⢋⣿⣿⣵⡿⠏⠀⠀⣀⣤⠠⠶⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⢀⢰⠏⠀⠀⠈⡇⣿⣌⣻⣍⡉⡆⠀⠀⠀⠉⠛⠳⠶⣦
⣿⠩⠭⡼⠿⠚⠛⠉⠁⢠⣴⠶⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢧⣝⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠃⡶⠶⠧⠼⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣷⣶⣶⣶⣶⡻⣷⣶⣶⣦⣟⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢄⡏⠈⢿⡀⠈⠛⠛⠛⠛⠙⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⢸⡇⡇⣼⣿⣟⣆⠀⠀⠀⠀⠀⢀⡀⠀⠀
⣿⣿⣿⣿⣿⣿⣷⡽⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⣾⠀⠀⠘⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠁⠀⠀⠀⠀⠀⢸⡇⣿⠶⠾⠿⣿⠈⠀⠀⠀⡿⣭⣭⣷⣶
⣿⣿⣿⣿⣿⣿⣿⣷⣿⢛⡥⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⠡⠏⠀⠀⠀⠙⢿⣿⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡸⠁⠀⠀⠀⠀⠀⠀⢸⣏⡟⣻⣟⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⠙
⣿⣿⣿⣿⣿⣿⢿⣵⡟⠉⠀⠀⠀⠀⠀⠀⠀⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡺⡞⠀⠀⠀⠀⠀⠀⠳⣿⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⢰⠘⠀⠀⠀⠀⠀⠀⠀⠀⢸⣻⣇⣻⢿⣏⣿⠰⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⠟⢻⡟⠛⠁⠀⠀⠀⠀⠀⡄⢳⠬⠽⢢⣄⡀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢂⣹⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢨⣭⣽⣛⣋⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣈⡀⠀⢺⣿⣿⣿⣿⠇⠀⠀⢀⣾⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠟⠁⠀⠀⠘⣿⣿⣷⣄⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡿⠟⠉⠉
⣁⡨⠻⠛⠛⢿⣿⣿⣿⡟⠁⣤⢶⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠃⠀⠈⠛⢷⡳⡀⠀⠘⣿⣿⣿⡿⣿⣩⠠⠀⠀⠀
⣿⣷⠀⣤⣤⣴⣛⣿⣿⠹⠞⢡⣾⣿⣿⣿⣿⡟⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⢸⡆⢸⣷⠸⣄⠀⣿⣯⡉⠠⣏⠿⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡏⠁⠀⣀⣿⣿⣿⡿⠟⠋⠁⢠⣾⡁⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣴⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⢻⡛⠁⣿⡆⣸⣿⣾⣷⠀⣿⣶⡤⣤⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣶⡀⣿⣿⣟⡿⣃⠀⠀⢰⣿⣿⡇⠀⠀⠀⢀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠋⠉⢻⣿⣿⣿⣏⠁⠈⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣾⣿⡂⠀⢸⣿⣿⠃⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠉⠉⠁⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢸⣿⣿⣧⠀⢻⡟⠈⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣼⣿⣿⣿⠀⠘⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀
⣿⠛⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⠀⡄⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀
⡟⠀⠀⠀⠉⠻⢿⣿⣿⣿⣿⣿⣧⠻⣿⣿⠇⠂⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⠿⠛⠋⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣇⠀⠀
⡇⠀⠀⠀⠀⠀⠈⠁⠛⢻⣿⣿⣿⡆⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠁⣠⣀⣀⣠⣤⣤⣭⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀
⣧⠀⠀⠀⠀⠀⠀⠀⡀⠀⠈⠹⣿⣧⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⠏⠉⠀⠀⢈⣿⣿⣿⣿⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠇⠀⠀
⣯⠀⠀⠀⠀⠀⠀⠘⠑⣺⡄⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡿⠟⢉⣁⣠⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠏⠀⠀⠀
⠉⠀⠀⠀⠀⠀⠀⢰⡔⠶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀
⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⡄⠀⣄⡀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⢀⣴⡿⠛⠁⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠀⠿⡟⠀⢆⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠙⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢀⣴⡿⠟⠁⠚⠶⣶⣶⣶⣶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡄⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⢿⣿⣿⣥⣤⣤⣿⣿⣿⣿⣦⠀⠀⠀⠈⣿⣿⣿⣿⣿⡿⠿⠿⢿⣿⣿⡟⠀⠀⠀⠀⠀⠉⣻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣀⣀⣤⣤⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣽⣿⣿⣿⣿⣿⣿⠟⠀⣀⣴⣾⣿⣿⣿⣿⠟⠁⠀⠀⠀⠻⠋⣾⢇⠀⣠⣶⣶⣾⡹⣉⡓⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠴⢶⣺⣿⣿⣛⣻⣿⠇⠂⣯⣽⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣭⣷⣾⣿⣿⣿⣿⢿⣿⣿⠛⠁⠀⠀⠀⠀⠀⠀⣸⡏⢨⣾⡏⠘⢿⡋⣸⣿⣷⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣋⣭⠦⠚⠋⢉⣰⣯⣿⠟⠋⠂⠀⠀⠘⢿⣿⣿⣿⣿⣤⣀⣀⣭⣍⣉⣉⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠁⠀⠀⠀⠀⠀⠀⢠⣦⣿⠁⣾⣿⠀⠀⠀⠀⠿⣋⢈⠰⢸
⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⠿⠿⢿⠿⠷⠾⠿⣛⠛⠁⠊⠁⢀⣀⣤⣴⠾⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠠⠂⢸⣏⣿⢄⣦⣿⣧⣀⠀⠀⠀⠀⠀⠈⠘
⣿⣿⣿⠟⣻⣶⡾⣫⡾⣿⣷⠐⡤⠶⠀⠀⠀⣀⣠⣤⡶⠶⠟⠛⠉⠁⠀⠀⠀⠀⠘⢻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⢀⡶⠂⠀⢸⢻⠏⢬⣿⣿⠋⠉⠛⠶⣤⣤⣀⠀⠀
⣿⣿⣷⢿⣟⣡⣾⣿⣾⠟⠃⠀⣀⣤⣴⠆⠚⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⢸⠰⠷⠾⣧⣡⣸⠀⠀⠀⠀⠉⠙⠛⠻
⣿⡀⠰⠾⠟⠋⠉⠁⠠⠤⠶⢟⡋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠛⣦⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⢨⢸⢛⣛⣛⡛⠉⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⡻⣿⣶⣿⣶⣟⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⡂⡜⠀⠹⣇⠀⠙⠻⠿⠿⠿⠟⠛⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡯⢸⣸⣿⣿⣽⡀⠀⠀⠀⢀⣀⣤⣀⠀
⣿⣿⣿⣿⣿⣿⣷⡽⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢣⠃⠀⠀⢹⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣭⣽⣟⣟⣻⡇⠀⠀⠀⠹⠳⠶⢿⣿
⣿⣿⣿⣿⣿⣿⣿⣷⣿⣛⡤⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡅⡊⠀⠀⠀⠈⠻⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠊⠀⠀⠀⠀⠀⠀⠀⣿⣼⢸⣿⣿⣿⡇⡀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⢻⡵⡏⠁⠀⠀⠀⠀⠀⠀⠀⢶⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠻⠀⠀⠀⠀⠀⠀⠘⢾⣟⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠪⠁⠀⠀⠀⠀⠀⠀⠀⠀⡏⢿⣬⣛⣿⣾⡇⠇⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⠟⢻⡟⠛⠁⠀⠀⠀⠀⠀⢰⠸⠶⢚⣃⣶⢀⠀⠀⠀⠀⠀⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢐⣂⣿⣿⣿⣾⣿⣿⣿⣿⣧⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⢾⣿⣭⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠈⣿⣩⣧⡀⢼⣿⣿⣿⣇⣿⡀⠀⠀⠀⣠⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠁⠀⠀⠠⡾⠛⠉⠻⣷⡤⡄⠀⠀⣿⣿⣿⣿⣿⡿⠋⠀⠀
⣤⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⠿⠷⠒⣴⣿⣿⣿⣿⡏⠀⢠⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣶⣶⣶⣶⣦⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠈⣿⡘⣆⠀⢸⣿⡿⢏⣁⠀⠀⠀⠀
⠸⠀⠀⠀⢀⣬⣿⣿⣿⣿⣿⣦⣤⣼⣿⣿⣿⡿⠟⠁⣠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣄⣀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⠀⠀⠀⠀⠀⠀⠹⠀⡿⡷⢸⣆⠘⣧⣭⠀⠈⢷⣆⠀⠀
⠀⠀⠀⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⠈⠀⠀⣼⣿⣷⠀⠀⠀⠀⠀⢀⣀⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠋⠡⢨⣿⡴⠿⢿⣧⣦⣼⣿⠗⠙
⡀⣴⣶⣶⣿⣿⣿⣿⣿⣟⣿⣿⣿⡷⣫⣿⡆⠀⢠⣿⣿⣟⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡯⠿⠿⠃⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⢸⣿⠟⠟⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡄⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⣿⡀⠈⣿⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀
⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⡇⠀⠃⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡇⢐⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⢻⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆
⣿⠟⢿⣿⣿⣿⣿⠿⣻⣿⣿⣿⣿⣿⡎⢻⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠁⠀⠉⠋⠉⠛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇
⠁⠀⠜⠟⢿⡏⠙⠀⣼⢿⣿⣿⣿⣿⣟⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠟⠛⢻⣿⣿⣿⣷⠀⠀⠀⣀⣴⣤⣤⣴⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⡻⠿⠛⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠁
⡆⠀⠀⠀⠀⠀⠀⠀⠘⠑⢺⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣟⣛⣁⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⢀⣴⡿⠋⠁⠀⠀⠀
⣶⣶⣶⣶⣶⣶⣶⣤⣴⣦⣤⣀⣀⣀⣀⠀⠀⢠⣤⠀⢀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⢀⣴⣿⠏⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠋⠀⠻⣿⠂⢹⣷⣤⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣦⠉⠉⠉⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣴⣿⠋⠁⠀⠘⠛⣷⣶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡄⠀⠀⠀⠈⠀⠀⠁⠀⣐⣤⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣬⣽⣿⣿⣶⣶⣾⣿⣿⣿⣿⣷⠀⠀⠀⣠⣿⣿⣿⣿⣿⡏⠉⠉⠛⣿⣿⡃⠀⣠⣤⣴⣶⣻⠟⢭⣽
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⢀⣤⣴⣶⣾⡿⣷⣦⢀⣴⠿⣿⣿⣿⣿⣿⣿⠋⢹⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⡿⠿⣋⣀⣤⣾⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠙⢱⣴⡟⢹⣿⡟⢱⣿⣿⣩
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣋⣭⠴⠿⢛⣽⣻⣾⢿⣧⠌⠉⠀⠘⢿⣿⣿⣿⣯⣤⠚⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⢉⣡⣶⣿⣿⣿⣿⣿⣿⣿⡏⠁⠀⠀⠀⠀⠀⠀⢀⠀⢸⣿⠀⠀⠀⠣⢿⡻⣩⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣵⣶⣿⣯⣥⣰⣶⡾⠟⣻⠔⠘⠈⠁⣀⣤⣴⠿⠿⣿⣿⣿⣿⣷⣶⣶⣶⣦⣤⣤⣤⣦⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⣾⣹⠀⢈⣿⢦⠀⠀⠀⠀⠙⠿⠟
⣿⣿⣿⣿⣿⣛⣩⡿⣻⣿⣿⡋⠉⣭⡍⠉⠁⠀⠒⢀⣀⣤⣤⣶⠶⠛⠋⠉⠀⠀⠀⠹⣟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⢠⠄⠀⡇⣿⠀⣾⣿⠞⠛⠷⣤⣄⣀⠀⠀
⣿⣿⣿⣩⣾⠿⣻⣾⣫⣼⡿⠃⠋⠉⣁⣠⣄⠰⠿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⣰⠟⠀⢸⢧⡿⠄⡹⣛⢰⠀⠀⠀⠉⠙⠛⠿
⣿⡟⣛⣩⣷⣿⠿⠟⠛⠉⣠⣤⡴⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⢀⠌⠀⠀⢨⢸⠟⣿⣿⡿⠛⠀⠀⠀⠀⠀⠀⠀
⣿⣷⣤⣬⣤⣤⣶⡶⠾⠿⠿⣹⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢬⣹⡇⠈⣿⡀⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⣰⣿⣿⠓⠀⠀⠀⠀⠀⢀⡀⠀
⣿⣿⣿⣿⣿⣿⡿⣷⣶⣿⣦⣟⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢶⣻⠀⠀⠘⣿⣧⡀⠙⠛⠿⠿⠿⠿⠿⠿⠿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣘⣿⣟⣿⣻⡆⠀⠀⠀⠿⣭⣭⣷
⣿⣿⣿⣿⣿⣿⣷⡽⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⢠⠇⠀⠀⠀⠹⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣿⢩⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠉
⣿⣿⣿⣿⣿⣿⣿⡗⣹⠟⠉⠁⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⡞⠀⠀⠀⠀⠀⠈⢻⣿⣧⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠀⠀⠀⠀⠀⠀⠀⡏⣿⣜⣻⣿⣿⡇⠇⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣇⡟⣿⠀⠀⠀⠀⠀⠀⠀⢀⡈⣏⣛⣶⢄⡀⠀⠀⠀⠀⠀⠀⠸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠱⣿⢿⡐⢆⣒⣲⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣾⣿⣿⣭⣹⡇⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⠏⠛⣿⠛⠁⠀⠀⠀⠀⠀⠘⡇⣭⢷⣶⣚⣇⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⣙⣿⣿⣿⣿⣿⣿⣿⣤⣴⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⣿⣷⣾⣿⡄⠀⠀⠀⡀⠀⠀⠀
⠀⣨⣯⣄⡀⢸⣿⣿⣿⣣⣿⠀⠀⠀⠀⠀⠀⢠⣿⣿⡟⠁⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠀⠈⠻⢷⡳⡄⠀⠘⣿⣿⣿⡿⠿⠋⠀⠀
⣤⡿⠿⠻⡿⣾⣿⣿⣿⣿⣿⠿⠆⠀⠀⢠⣴⣿⣿⣿⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠰⡄⢸⣷⡸⣆⠀⣿⢿⡙⠲⣆⠀⠀⠀
⠠⠀⣀⣀⡀⠈⢿⣿⢿⣿⣮⣦⡀⠀⢠⣿⣿⡟⠛⠁⣠⣾⠃⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣤⣶⣶⣤⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠁⠰⡛⠇⣾⡆⢰⣿⡃⠀⠈⣷⣄⢀
⣤⣾⣿⣿⣷⣤⣀⣳⣶⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⢸⣿⣿⡗⠀⠀⠀⠀⠀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠁⠂⠺⠞⠛⠛⢿⣿⣷⣿⣟⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠉⣻⣿⣟⣻⣿⣿⡀⠀⢸⣿⣿⡇⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠋⠉⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⡇⠀⢿⡟⠈⠁⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀
⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣻⣿⣿⣷⠀⢸⡇⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡆
⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⠀⡀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇
⣿⣯⡙⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣿⠀⠇⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⢉⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⣿⣿⣿⣿⣿⣾⠁⠉⢻⣿⣿⣿⣿⣿⣿⡌⠻⠋⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠛⢿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⡿⠻⣿⣿⣿⡿⢧⠀⠈⣿⣿⣿⣿⣿⣿⣥⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⢿⡋⠛⠁⠀⣻⣿⣿⣿⣤⣄⣠⣤⣾⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿
⠀⠀⠉⠛⠻⠇⠀⠁⢀⡿⢿⣿⡇⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡿⠿⠂⠀⣀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠁
⠃⠀⠀⠀⠀⠀⠀⠀⠈⠹⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣥⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⣠⣴⡿⠋⠀⠀
⠇⠀⠀⠀⠀⠀⠀⠀⠀⠈⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⢠⣴⡿⠋⠀⠀⠀⠀
⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⣄⣀⣀⣀⣀⡀⠀⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⢀⣾⡿⠋⠀⣤⣄⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠟⠛⠛⠓⠘⢿⡿⠀⠿⠶⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⡟⠋⣉⣿⣿⣿⣿⣄⠀⠀⠀⠉⢻⣿⣿⣿⣿⣿⡿⢿⣿⣿⣾⣿⠏⠀⠀⠀⢘⣩⣶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⢀⣀⣀⣤⠾⠆⠀⣀⣿⣿⣿⣿⣿⣿⣿⠿⢻⣿⣿⣿⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠀⢀⣤⣾⣿⣿⣿⣿⠟⠀⠀⠀⠙⠿⡧⠀⣰⣞⣻⣿⡷⣒⣴⢶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⠄⣶⣻⣿⣿⣛⣿⡿⠀⣾⠍⠙⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⢋⣡⣤⣶⣾⣿⣿⣿⣿⠟⠃⠀⠀⠀⠀⠀⠀⠀⣿⡟⠀⠾⠋⢀⣿⡿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⣻⣥⠶⠆⠋⣁⣾⣽⠿⢛⠟⠃⠀⠀⠀⣸⣿⣿⣿⣿⣷⣆⠀⣉⣛⡿⠿⠛⠛⠛⠿⠟⠛⠁⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⢀⣠⡄⢸⣿⡇⠀⠀⠀⠛⠳⣄⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣻⣿⠿⣿⡿⡾⠾⠖⠛⠛⠋⠐⠈⠀⣀⣠⣴⡶⠟⠋⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⢸⢧⡇⠀⣾⡛⣦⣄⠀⠀⠈⠉⠋
⣿⣿⣿⣿⢿⣷⣶⢟⣽⠿⣿⡇⢢⣴⡶⠠⠀⠀⣀⣤⣴⠶⠾⠟⠛⠉⠀⠀⠀⠀⠀⠀⠙⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠁⠀⠀⠀⠀⠀⣠⡆⠀⣼⢸⡇⢸⣿⡍⠀⠉⠛⠷⢶⣤⣄
⣿⣿⣿⣶⣿⣛⣵⣿⣷⡿⠟⠁⠁⣀⣤⣴⠞⠂⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⢰⠏⠀⠀⡇⣽⣭⣸⢠⣤⠀⠀⠀⠀⠀⠈⠉
⣿⡏⠭⠶⠿⠟⠛⢉⣁⣠⣴⡾⣿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣶⠛⣿⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⡟⣰⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣷⣶⣶⣿⣿⡿⠿⠿⢿⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢘⣦⡏⠀⠸⣧⣭⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡁⣦⣿⣿⡆⡀⠀⠀⠀⣠⡤⡤⣄
⣿⣿⣿⣿⣿⣿⡻⣶⣶⣿⣦⣟⣡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡛⢷⠀⠀⠀⠹⣯⣤⡈⠉⠙⠛⠛⠛⠛⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢱⡾⢿⣾⣽⡟⠀⠀⠀⠘⠛⠛⠿
⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⣁⡏⠀⠀⠀⠀⠙⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢸⣧⣿⣿⣿⣷⢀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⢷⣼⡟⠁⠁⠀⠀⠀⠀⠀⠀⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⠟⠀⠀⠀⠀⠀⠀⠈⢻⣻⣿⢄⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢘⣷⣾⣿⣿⡿⠈⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⠞⢸⡇⠀⠀⠀⠀⠀⠀⠀⣦⠹⠦⣞⣃⣤⠀⠀⠀⠀⠀⠂⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢫⡿⠾⣻⣿⣿⣿⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣟⣿⣻⣾⡇⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⠋⠛⣻⠛⠁⠀⠀⠀⠀⠀⠀⢹⢸⣛⣿⡿⢷⣺⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣦⣿⣿⣿⣿⣿⣿⣿⣶⣧⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣽⡇⠀⠀⠀⠶⠀⠀⠀
⣀⣀⣀⣇⠀⣽⣿⣿⣿⣰⣿⣀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⣶⣶⣤⣦⣤⣄⣀⠀⠀⠀⠀⠀⠀⠉⠀⠀⢀⠈⣿⡏⢇⠀⠈⣿⡿⢿⠋⠁⠀⠀
⠟⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠃⠀⠀⠀⠀⠀⠀⠠⠀⢀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣄⣀⡀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠘⠆⢹⣿⠈⣧⠀⢋⣟⡂⠙⢧⡄⠀
⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⡄⠀⠀⢠⣿⣿⣦⠀⠀⠀⠀⢀⣠⣴⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠸⡉⡀⢿⣃⣼⣿⣄⣠⣀⣿⣧
⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⢀⣼⣿⡄⠀⣸⣿⣿⡇⠀⠀⠀⢰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠛⣿⣿⣿⡧
⡀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⡇⠀⣿⡿⠻⠃⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⢀⡀
⣿⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣹⣿⣿⣿⠀⢸⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡈⠁⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⠀⡇⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⠛⢛⡂⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡈⢻⠏⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠁⠊⠀⠀⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⠁⠀⠚⠃⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣃⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⢿⣿⣿⣿⡀⠀⠀⠀⣀⣤⣤⣤⣤⣤⣤⣭⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⠀⠀⠀⠘⢿⣦⠀⠀⠈⠻⣿⣿⣿⡏⠝⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡟⠃⠀⠀⢀⣼⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿
⡀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠹⢿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣛⣋⣉⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁
⠀⠀⠀⠀⠀⠀⠀⢾⡏⠀⠀⠀⠀⠙⠖⠳⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⢀⣴⡿⠛⠁⠀⠀
⠁⠀⠀⠀⠀⠀⠀⠛⠇⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⢀⣴⣿⠏⠀⠀⠀⠀⠀
⣶⣶⣾⣷⣿⣿⣿⣿⣶⣷⣶⣤⣤⣄⣤⣤⣤⡀⢀⣀⣀⠀⡀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠻⣿⣿⣿⣯⠉⠉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣴⡿⠋⠀⠀⠘⠿⣤⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡛⠛⠙⠛⠛⠘⠻⠟⠀⠿⣛⣶⣦⠀⠀⢸⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⣷⣤⣉⣿⣿⣷⣶⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⠋⠉⠙⠿⣿⣿⠁⠀⣠⣤⣶⣼⣭⢙⣍
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⠀⢀⣀⢀⣤⣶⣶⡿⣿⣶⠄⣴⡞⠻⣿⣿⣿⣿⣿⡟⠁⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⣀⣀⣶⣿⣿⣿⣿⣿⠏⠉⠀⠀⠀⠀⠈⠛⢰⣾⠏⠠⠘⠁⢰⣿⣧
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⣋⣽⠐⠛⣻⣟⣶⡿⠯⢤⠉⠁⠀⠘⣿⣿⣿⣿⣧⡄⠙⠻⠿⣿⡿⠿⣿⣿⣿⣿⡿⠛⠛⠉⣡⣴⣿⣿⣿⣿⣻⣿⣿⠋⠁⠀⠀⠀⠀⠀⠀⢀⠀⣼⣿⠀⠀⠈⠰⠟⠋⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣵⣾⣯⣭⣴⠰⡾⠿⠛⠁⠀⠁⠀⣀⣤⣴⠾⠛⢻⣿⣿⣿⣿⣖⣿⣿⣶⣦⣤⣄⣄⣉⣠⣤⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⡏⠁⠀⠀⠀⠀⠀⠀⠀⣾⢹⠀⢹⡿⣄⡀⠀⠀⠀⠀⠂
⣿⣿⣿⣿⣿⣿⣛⣽⠟⣿⣿⣟⢩⢩⣭⠉⠉⠁⠀⠀⣀⣤⣤⣶⠾⠟⠋⠉⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⢠⠀⠀⡏⣿⠀⣾⡗⠊⠙⠷⣦⣤⣀⡀
⣿⣿⣿⣟⣵⣿⠟⣵⣟⣥⣿⠟⠀⠁⢁⣀⣤⡶⠰⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⣶⠟⠀⢸⢱⣟⣆⣏⡋⠀⠀⠀⠀⠈⠉⠛
⣿⣿⠛⣛⣿⣶⠾⠿⠛⠋⣁⣤⣴⠾⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⢯⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⢸⢋⣽⣿⣿⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣬⣭⣭⣥⣴⣶⣾⣿⣿⢏⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢬⣹⠁⠸⣇⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣸⣸⣿⣍⠉⠀⠀⠀⠀⣀⣀⡀
⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⢿⡏⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢬⡏⠀⠀⢹⣏⡉⠙⠿⠿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⣼⣯⣽⣛⣾⠀⠀⠀⠸⠯⢯⣿
⣿⣿⣿⣿⣿⣿⣿⣾⣶⣿⣶⣟⣹⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡝⢸⠁⠀⠀⠀⠻⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣇⣯⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈
⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⢠⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⠏⠀⠀⠀⠀⠀⠈⠻⣟⣷⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠻⢷⣭⣽⡇⣿⠈⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣇⠜⣿⠁⠁⠀⠀⠀⠀⠀⠀⢘⣧⣭⠶⢀⡀⠀⠀⠀⠀⠤⠀⠘⠋⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⡧⢽⣅⣷⣶⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⣿⠾⣤⣿⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⠋⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⡇⡶⢚⣫⣭⣅⣇⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢬⣿⣿⣿⣿⣿⣿⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣻⢛⣷⠀⠀⠀⣤⠀⠀⠀
⣿⣿⣿⣿⣿⣿⡇⠛⠛⣿⠁⠀⠀⠀⠀⠀⠀⠀⣷⢰⠽⠷⣶⢩⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣾⣧⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢛⠷⣿⠇⠘⠋⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣿⣿⣿⣿⣸⣇⣀⠀⠀⠀⠀⠀⠀⠀⣹⣿⡇⠀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣶⣿⣿⣷⣶⣶⣤⣤⣄⡀⠀⠀⠀⠀⠀⠁⠀⠀⢀⠈⢹⣏⢳⡀⠀⢹⣿⠿⠋⠁⠀⠀
⣿⣷⣦⣤⣀⡿⣿⣿⣿⣿⡟⠛⠀⠀⠀⠀⢀⣀⣾⠿⠋⠀⣼⡏⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣄⣤⣤⣦⣤⣀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⠀⠀⠀⠀⠀⠀⠀⠇⢘⣿⡄⢳⠀⠈⡝⠂⠈⠢⣀⠀
⣿⣿⣿⣿⣿⣷⣿⡟⠛⠃⠸⣿⣷⣤⣀⣠⣿⣿⡀⠀⠀⣾⣿⡷⠀⠀⠀⠀⢠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠈⠀⢁⢸⣇⣤⣷⢀⣀⣀⣺⣷
⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣄⠙⣿⣿⣿⣟⣿⣿⡇⠀⢠⣿⣿⡇⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠘⢿⣿⣿⡯
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⣿⣿⣿⠀⠸⣿⠉⠁⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣈⣿⣿⣿⡄⠀⡟⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡙⣿⣿⡇⠘⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⠿⠿⠀⠁⠈⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⠋⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⣄⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⢿⣿⣧⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠋⠋⠉⠈⢻⣿⣿⣧⡀⠀⠀⣀⣤⣤⣤⣤⣶⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⡗⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡿⠗⠀⠀⣀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⡿⣷⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣭⣤⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠀
⣿⡟⠀⠀⠀⠀⢀⡶⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⣀⣴⡿⠋⠀⠀⠀
⣿⠂⠀⠀⠀⠀⠈⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⢀⣶⡿⠋⠀⡀⠀⠀⠀
⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣤⣤⣤⣄⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⠟⠉⢻⣿⣿⣿⣇⠀⠈⠉⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣦⣾⡟⠁⠀⠀⠈⢳⣦⣄⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣍⠉⠉⠉⠉⠋⠀⠙⠟⠀⠸⣿⣿⣷⠀⠀⢸⣿⣿⣿⣿⣿⡿⠛⣹⣿⣿⣿⣷⣤⣼⣽⣛⣿⣿⣿⣿⣿⣿⣿⣗⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⠉⠉⠙⠻⣿⢿⠀⢀⣴⠶⠒⢊⠭⢉⡉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⢀⣀⣠⡀⢴⣶⣿⠿⢿⣿⠆⢴⣟⠛⢿⣿⣿⣿⣟⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⣁⣠⣤⣾⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠋⢰⣾⠃⠀⠀⠁⣺⣿⣧
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣛⣩⡽⠆⠛⢩⣿⣿⡿⠋⠀⠈⠁⠀⢈⣿⣿⣿⣿⣀⠀⠉⠉⠻⠟⠿⠛⠿⠿⣿⠿⠏⠉⠉⣠⣴⣾⣿⣿⣿⣿⣹⣿⡯⠁⠀⠀⠀⠀⠀⠀⢀⣠⠀⣾⣏⠀⠀⠀⠘⠋⠁⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣶⣿⣯⣵⣶⠆⠿⠟⠋⠁⠀⠀⢀⣠⣤⡶⠟⠛⠻⣿⣿⣿⣿⣶⣿⣿⣿⣶⣶⣤⣤⣤⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣨⠀⢹⡟⣦⣀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣏⣽⢟⣿⣿⣯⠀⡀⣭⠅⠀⠀⠀⢀⣠⣤⡶⠶⠟⠛⠉⠁⠀⠀⠀⠀⠘⢽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⣠⠀⠀⡇⡾⠀⣿⡋⠂⠙⠛⠶⣦⣄⡀
⣿⣿⣿⣯⣵⡿⢟⣵⣿⣵⣿⠟⠀⠀⣀⣠⣴⠶⠀⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⢀⣄⠋⠀⢐⢐⣛⣢⣍⡁⠀⠀⠀⠀⠀⠉⠛
⣿⣿⢛⣋⣽⣿⠞⠛⠋⢉⣠⣤⣶⡟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣟⣋⡙⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⢹⢩⣽⣿⡿⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣦⣤⣴⣶⣶⣶⣿⣿⣿⣫⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢢⣽⣿⣿⣇⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣼⣼⣿⡎⠁⠀⠀⠀⢀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⢿⡏⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠪⡎⣿⣿⣿⣿⣿⡏⢸⣿⡿⣿⡟⠏⣿⡏⠿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⣶⢾⣭⣫⣾⠀⠀⠀⠘⠳⠶⣾
⣿⣿⣿⣿⣿⣿⡻⣿⣶⣿⣶⣟⣹⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢌⢸⠁⣿⣿⡏⣿⣿⣆⣿⣿⣤⣿⣷⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣥⡧⣾⣿⠿⣿⠈⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠠⣄⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⠏⠀⣿⣿⡇⣿⣿⡆⣿⣿⠉⣿⣿⡀⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠸⠷⣯⣽⣇⣿⠈⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣧⠜⣿⠁⠁⠀⠀⠀⠀⠀⠀⠀⡧⠤⠟⢂⡄⠀⠀⠀⠀⠀⠀⢈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠐⢖⡂⠠⣶⣶⣶⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣟⣻⠶⢶⡗⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⡿⠃⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⡆⠾⢻⣭⠽⣦⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠙⢻⣻⣿⣿⣿⣷⠂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠿⣯⣟⢻⡇⠀⠀⠠⡄⠀⠀⠀
⣿⣿⣿⣿⣿⣿⡇⠛⠛⢻⠁⠀⠀⠀⠀⠀⠀⠀⢻⢰⠸⠷⣷⢸⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢈⢼⣿⣿⣟⣯⣷⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣛⣻⣶⠂⠘⠃⠀⠀⠀⠀⠀⠀⠀
⡀⠀⠀⠀⢸⣿⣿⣿⣗⣿⣁⡀⠀⠀⠀⠀⠀⣼⣿⣿⣿⡏⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣾⣿⣿⣷⣷⣧⣤⣤⣄⡀⠀⠀⠀⠀⠀⠁⠀⠀⢀⠈⢹⣯⢳⡀⠀⢹⣿⠟⠁⠁⠀⠀
⣿⣶⣄⣤⣼⣿⣿⣿⣿⣿⠛⠁⠀⠀⠀⣤⣾⣿⡿⠟⠉⠀⣴⠇⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⣤⣤⣴⣦⣤⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⠀⠀⠀⠀⠀⠀⠀⠣⢘⣿⡆⢳⠀⠈⡝⠂⠘⠢⣀⠀
⣿⣿⣿⣿⣿⣿⣿⠟⠛⠉⠀⠀⠀⢠⣾⣿⢿⣿⣇⠀⠀⣸⠏⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠈⠁⠁⢸⣗⣠⣷⢄⡀⠀⢸⣷
⣿⣿⣿⣿⣿⣿⣿⣷⣆⠀⠀⢀⣴⣿⣿⣿⣴⣿⣿⠀⠀⣽⣤⡆⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠸⠿⢿⣿⣟
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⡟⣾⣿⣿⡇⠀⢿⠁⠁⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⡁
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⣿⣿⣿⡇⠀⠸⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⢿⣿⡇⠈⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⣿⣿⡿⠛⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠙⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⠉⠁⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⠿⣿⠷⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠿⠈⠁⠈⠙⣿⣿⣿⣇⠀⠀⢀⣠⣤⣤⣤⣤⣤⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⣷⠄⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡿⠟⠂⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣦⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣯⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠛⠀
⣿⡏⠀⠀⠀⠀⢸⡴⠀⠀⠈⠉⠀⠺⠯⣭⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⣀⣴⡿⠛⠀⠀⠀
⣿⠃⠀⠀⠀⠀⣈⠱⢐⢀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⣠⣾⡿⠋⠀⡀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣴⣤⠀⣠⣀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⡿⠋⢉⣻⣿⣿⣿⡁⠈⠉⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣾⠟⠉⠀⠀⠈⢳⣤⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣍⠉⠉⠉⠉⠛⠀⠙⠿⠁⢼⣿⣿⣿⠂⠀⣸⣿⣿⣿⣿⣿⠟⢩⣿⣿⣿⣿⣶⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣨⣿⣿⣿⣿⣿⡟⠛⠛⠻⣿⣿⢋⠀⢀⣴⢶⠒⠈⠍⣉⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⢀⣀⣠⡄⢴⣾⣿⠿⢿⣿⠆⢴⣟⠛⢿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⢋⣀⣤⣶⣿⣿⣿⣿⣿⠿⠁⠀⠀⠀⠀⠈⠑⠇⢰⡿⠁⠀⠈⢁⣿⣿⣇
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣛⣭⡴⠆⠋⢩⣿⣿⠿⠋⠒⠎⠁⠀⢈⣿⣿⣿⣧⣄⡀⣠⣩⣛⠛⠛⠛⠛⠿⠿⠿⠏⠀⣀⣤⣾⣿⣿⣿⣿⣻⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀⣀⣤⠀⣾⡇⠀⠀⠀⠚⠉⠀⠁
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣾⣿⣯⣷⣶⡆⠿⠟⠋⠁⠀⠀⢀⣠⣤⡶⠟⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⣥⠀⢽⡟⣦⣀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣯⡽⢟⣿⣿⣯⠠⣠⣭⠥⠀⠀⠀⢀⣠⣤⡶⠶⠟⠛⠉⠁⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⢀⣴⠁⢸⠇⡏⠀⣿⡃⠀⠙⠻⢶⣤⣀⡀
⣿⣿⣿⣯⣵⡿⢟⣵⣿⣵⣿⠏⠀⠀⣀⣠⣴⡶⠀⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⢀⠐⠃⠀⠈⢘⣛⣠⣍⡁⠀⠀⠀⠀⠀⠉⠛
⣿⣿⢛⣉⣭⡾⠞⠛⠋⢉⣠⣤⣶⡟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣟⣫⡛⣻⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⣿⢩⣽⣿⡗⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣶⣤⣶⣶⣶⣾⣿⣿⣿⣫⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢢⣽⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣯⣼⣷⡍⠀⠀⠀⠀⣀⣀⣄⣀
⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⢿⡏⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⠪⡎⣿⣿⣿⣿⣿⡟⢹⣿⡿⣿⡟⠇⣿⡏⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢱⡶⢾⣭⣣⡇⠀⠀⠀⠛⠶⠶⣿
⣿⣿⣿⣿⣿⣿⡿⣷⣴⣿⣶⣟⣹⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢍⢸⠁⣿⣿⡏⣿⣿⣇⣿⣿⣤⣿⣷⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢸⣇⣿⣿⢿⣧⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠠⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⠏⠀⣿⣿⡇⣿⣿⡇⣿⣿⠉⣿⣿⡀⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠺⠷⣯⣿⣯⡏⠉⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣧⠜⣿⠁⠁⠀⠀⠀⠀⠀⠀⠀⡧⠤⠟⢂⡄⠀⠀⠀⠀⠀⠄⢈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠐⢖⠤⣴⡶⣶⣶⣦⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢛⣿⠶⢾⠇⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⡿⠃⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⡆⢾⢻⣭⡽⣦⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠮⢽⣿⣿⣿⣿⣿⣿⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢿⣯⡛⣻⡇⠀⠀⠰⡄⠀⠀⠀
⣿⣿⣿⣿⣿⣿⡇⠛⠛⢿⠁⠀⠀⠀⠀⠀⠀⠀⢻⢰⡺⠗⣷⢸⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⢽⣿⣿⣟⣯⣧⣶⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣛⣳⣖⠂⠙⠁⠀⠀⠀⠀⠀⠀⠀
⠙⠃⠀⠀⣿⣿⣿⣿⣿⢀⣀⡀⠀⠃⠀⣿⣿⣿⣿⣿⣿⡟⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠟⠀⠀⠹⢿⡟⠀⠀⠀⢿⡟⠁⠀⠀⠀⠀
⠀⠀⠀⠀⢿⣿⣿⣿⣿⠿⢋⣀⡀⣠⣾⣿⣿⣿⣿⠟⠋⠀⢠⠀⠀⠀⠀⠀⠀⠀⣄⠀⣀⣀⣀⣠⣄⣀⠀⣠⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⢸⣷⠈⡄⠀⠺⣎⠠⠄⠀⠀⠀
⣀⣤⣀⡀⠘⡟⠛⠛⠛⢀⣼⣿⣿⣿⣿⣿⣿⠻⣿⡀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⢸⠹⠆⢰⣄⠀⡊⠁⠀⠀⢢⣄
⣿⣿⣿⣿⣿⣷⣤⣄⣠⣼⣿⣿⣿⣿⣿⣿⡿⣼⣿⡇⠀⠀⢀⡀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠾⠿⣠⣤⣤⣼⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢃⣿⣿⡇⠀⠀⠈⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣻⣻⡿⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣿⡄⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡘⣿⡿⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇
⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠉⠉⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇
⣿⣿⠿⠟⠁⠀⢰⣿⣿⣿⣿⣿⣿⣿⡟⠻⠟⠛⠁⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠟⠙⠉⠉⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠁⠛⠛⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇
⣏⠈⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠧⠀⠀⠀⣀⣾⣿⣿⣿⣶⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠇
⣿⣇⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⡿⣿⣿⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣯⣭⣤⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠏⠀
⣿⠇⠀⠀⠈⠀⠀⠀⣿⢿⣿⠿⣿⢿⢻⡘⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⢀⣤⣾⠟⠁⠀⠀
⣿⣀⣀⣀⣀⣀⠀⢀⣿⣶⣆⡀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⣠⣴⡿⠟⠁⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⣼⣀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⢿⣿⣿⣿⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢆⣠⣾⠟⠋⠀⠀⠲⣄⣀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡙⠉⠉⠙⠙⠻⠃⠹⠿⡆⣸⠿⣟⣳⣤⣬⣿⣿⣿⣿⠟⠉⣴⣿⣿⣿⣭⣩⣿⣿⣧⣶⣶⣾⣿⣿⣿⣶⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⣹⣿⠟⠁⠀⢀⣤⠤⠀⢚⡛⠛⢛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⢀⡀⣠⣤⣶⣶⣿⣿⡍⣠⡾⢿⣿⣿⡇⠀⠰⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠀⠀⢠⣴⣾⣿⣿⣿⣿⠏⠁⠀⠀⠹⣿⠟⠁⠠⠁⢠⡿⠁⠰⠀⠠⣶⣷⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠞⣛⣫⡅⠾⢛⡿⣶⣾⡟⢠⣽⠃⠙⢿⣿⣷⡀⠀⢀⣈⣙⠛⠛⠛⢿⣿⣿⣿⣿⣯⠽⢁⣤⣶⣶⣿⣿⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⣧⡜⢀⣿⡁⠀⠀⠀⠾⠛⠉⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣶⣟⣫⣥⡀⣴⡾⠟⠋⠁⠀⠈⠀⣀⣠⣾⠿⣿⣿⣤⣸⣿⣿⣿⣶⣦⣬⣭⣿⣯⣥⣶⣾⣿⣿⣿⣿⣿⣿⣷⡯⠉⠀⠀⠀⠀⠀⠀⠀⠀⡀⢸⡇⡃⠀⣻⣧⡀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⠟⣻⡿⣿⣷⣿⠋⣻⣛⢛⡉⠉⠁⠀⠀⣀⣠⣤⣴⡶⠟⠛⠉⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⢸⢀⡇⢀⣿⠎⠛⠷⣦⣄⣀⠀⠀
⣿⣿⣿⣟⣫⣿⡿⣫⡾⣋⣿⡟⠁⠛⠉⢀⣠⣤⠀⠾⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⢠⠶⠁⠀⡜⣼⣇⢸⠛⠃⠀⠀⠀⠉⠙⠻⠶
⣿⣿⠿⠛⣛⣅⡼⠿⠿⠛⠉⣀⣠⡶⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠂⠂⠀⠀⠀⠀⣶⢷⣨⣿⡆⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣬⣉⣉⣩⣤⣤⣶⣶⣿⠟⣽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢄⢻⣿⣿⡟⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣼⣟⠛⠃⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⢿⡟⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⢸⡟⣿⣿⣷⣿⣿⣽⢹⣿⣿⣿⡟⡏⣿⡏⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢆⣛⣻⢿⢧⡆⠀⠀⠀⢿⣭⣭⣷
⣿⣿⣿⣿⣿⣿⡿⣷⣶⣾⣦⣟⡡⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡒⢨⠃⣿⣿⡏⣿⣿⡇⣿⣿⣤⣿⣷⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⠏⣿⣿⣿⡇⠀⠀⠀⠀⠀⠈⠉
⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡶⡞⠀⣿⣿⡇⣿⣿⡅⣿⣿⠉⣿⣿⡀⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣼⣗⡿⣾⣽⡏⠄⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣇⡜⣿⠁⠁⠀⠀⠀⠀⠀⠀⠀⣇⣛⣴⠀⠀⠀⠀⠀⠀⢀⠀⠸⠟⠀⠀⠀⠀⠀⠀⠀⠀⠰⡆⢄⠠⣦⣤⣀⣀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣬⣯⣽⣛⣙⡇⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⠏⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⡆⡥⢶⣒⣚⣃⣆⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠘⠂⣙⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣶⡶⣭⢽⡅⠀⠀⠀⡀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⡇⠛⠛⣿⠁⠀⠀⠀⠀⠀⠀⠀⢧⢡⢸⣯⣥⢹⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠐⣿⣿⣿⣿⡿⣃⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣽⣿⠛⠸⠇⠀⠀⠀⠉⠀⠀⠀
⠃⣀⠀⢸⣿⣿⣿⣿⠁⠀⢀⡀⠼⡿⣰⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡴⠛⠛⣿⣇⢀⠀⠀⠈⣿⠟⠁⠀⠀⠀⠀
⠀⠉⠃⠸⣿⣿⣿⣿⣴⡿⣏⡀⠐⣰⣿⣿⣿⣿⣿⠿⠟⠁⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣶⣶⣿⣿⣿⣷⣶⣶⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⡀⠈⢻⡆⠀⠀⠀⣽⠢⡀⠀⠀⠀⠀
⢀⣀⡀⠀⢻⠿⠿⠟⢋⣸⣿⣷⣾⣿⣿⣿⣿⣿⣿⡀⠀⠀⠈⠀⠀⠀⠀⣠⣴⣾⣷⣶⣶⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠁⠐⡜⣷⠀⣀⠀⢸⠷⠀⠀⠠⣀⠀
⣿⣿⣿⣷⣶⣤⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⢷⣿⡇⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠧⠙⠁⣿⢇⣰⣄⠀⠀⠀⢼⣷
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠚⠉⠉⠀⢿⣿⣿⣿⣟
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠚⠋⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⠃⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡅
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡎⢿⣷⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠉⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀
⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣟⠛⠿⠛⠃⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠟⢿⠿⢿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀
⣿⣿⣿⣿⠛⠉⠁⢿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠋⠀⠀⠀⢘⣿⣿⣿⣦⣀⡀⣀⣀⣤⣤⣤⣤⣤⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠀
⣿⣿⣟⠁⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣟⣛⠉⣀⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠃⠀
⣿⣿⣿⡇⠀⠀⠀⠀⣾⣻⣿⣿⣿⢿⢿⡿⡛⠟⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⡿⠃⠀⠀
⣿⣿⡟⠃⠀⠀⠀⢸⣿⣿⡁⠀⠀⠀⠈⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⢀⣤⣾⠿⠋⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣿⣿⣦⢰⡆⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⣠⣴⡿⠛⠁⢠⣤⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠻⠟⠛⠻⠻⠟⠟⠸⠿⠀⠀⠶⠾⠆⣀⣿⣿⣿⣿⠟⢋⣿⣿⣿⣿⡿⢿⣿⣿⢉⣀⣠⣿⣿⣿⣟⠉⠉⠉⠙⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣾⠟⠉⠀⠀⠀⠀⠈⢻⡿⢿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀⠀⠀⠀⣀⣀⣤⣴⣾⡟⡛⣿⣿⣿⡏⠀⡾⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⣀⣴⣿⣿⣿⡿⠿⠟⠛⠋⡀⢠⣿⠿⠁⠐⠆⢀⣴⠏⠁⠀⠐⣣⣤⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⡶⠶⡆⣸⣿⣿⣟⣹⣿⠇⢸⡿⣿⣿⣧⡄⠀⠈⠙⠛⠛⠻⢿⣿⣿⣿⣿⣿⣟⣻⠏⢉⣀⣀⣤⣼⣿⣿⣿⣿⠿⠁⠀⠀⠀⠀⠀⠛⢩⣴⡇⠠⠀⣾⠏⠀⠀⠀⣨⣿⠿⠆
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣴⠶⠛⠃⣀⣰⣷⡿⠋⠁⠘⠉⠀⠙⣿⣿⣿⣄⣼⣿⣿⣶⣤⣀⣻⣿⣿⣿⣟⣻⣵⣾⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢸⡇⠃⠘⣿⡄⠀⠀⠀⠁⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣽⠟⠿⠿⠿⠿⠟⠃⠉⠉⠀⠀⢀⣀⣤⣴⡾⠟⠋⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⢸⢠⡇⠀⣾⡙⠶⣤⡀⠀⠀⠀⠀
⣿⣿⣿⣿⠟⣻⣶⠞⣩⡾⣻⣿⠆⢸⠷⠀⠀⢀⠀⣤⣶⠾⠟⠛⠉⠉⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⡒⠁⠀⡎⢸⠁⢸⣿⠅⠀⠈⠙⠻⠷⢦⣤
⣿⣿⣿⡿⠿⠋⢡⣿⣿⡾⠟⠃⢀⣀⣤⣶⠿⠛⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠉⠀⠀⠀⠀⣻⣗⣰⣦⡄⠀⠀⠀⠀⠀⠀⠈
⣿⣿⣀⠒⠒⠓⣃⣀⣠⣤⣴⣾⢿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⡏⣹⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⣿⣷⠋⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⢱⣾⣿⣿⣷⣿⣿⢹⢻⣿⣿⣿⡿⡏⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡂⣧⣽⣿⡆⡀⠀⠀⠀⣤⡶⠶⣤
⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣦⣟⣁⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⢹⠇⣿⣿⡯⣿⣿⡟⣿⣿⣤⣿⣷⠁⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢰⡶⢿⣯⣽⡏⠀⠀⠀⠉⠉⠛⠻
⣿⣿⣿⣿⣿⣿⣷⡿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣂⡝⠀⣿⣿⡇⣿⣿⡇⣿⣿⠉⣿⣿⡀⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢸⣧⣿⣿⢻⣷⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡇⡽⢿⠁⠁⠀⠀⠀⠀⠀⠀⠀⡗⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠃⠀⠀⠀⠀⠀⠀⠠⡰⠆⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢺⣷⣾⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡟⠁⣿⠀⠀⠀⠀⠀⠀⠀⠀⡀⣛⣋⣭⠴⠆⡀⠀⠀⠀⠁⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⣸⣓⣷⣶⣴⣤⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣟⣟⣳⢶⠇⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⡟⠛⠛⣿⠁⠀⠀⠀⠀⠀⠀⠀⣇⣏⣴⣟⡛⡇⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣼⣿⣿⣿⣿⣿⣖⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣯⣝⢻⡇⠀⠀⠀⠰⠄⠀⠀
⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠘⢻⡇⣹⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠛⠛⣛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡐⠺⢿⡿⠿⣿⣿⡟⠁⠀⠀⠀⠀
⠛⠦⣤⣼⣿⣿⡟⠀⣀⣤⡶⢉⣞⠇⣿⣣⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⣤⠆⡿⢻⣷⡀⠀⠀⠀⢾⢃⠀⠀⠀⠀⠀⠀
⠀⠀⠉⠘⣿⣿⣿⣿⡟⠛⣧⣴⣿⡄⣻⣿⣿⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠈⠛⠃⠀⠀⠀⢠⡈⠳⠄⠀⠀⠀⠀
⠀⣀⢀⣴⣿⣿⣿⡋⣥⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⢷⣦⠀⠀⠀⠀⢠⣴⣾⣷⣶⣿⣿⣿⣦⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢸⠀⠠⡀⢠⡀⠘⠧⡄⠀⠀⢢⡀⠀
⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡆⠈⠋⣨⡷⢀⣿⠀⠀⠀⡠⢹⣮
⣤⣬⣙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠑⠛⠉⢰⣷⣶⣶⣿⠟
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡼⣿⡏⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠂⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠘⣅⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡆⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠙⠛⠋⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠀⠀
⣿⣿⣿⣿⡿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⢻⠿⢿⣿⣿⣿⡟⠉⠉⠁⠉⠉⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀
⣿⣿⣿⣿⡿⠆⠀⢄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡿⠟⠂⠀⠈⣿⣿⣿⣄⠀⠀⡀⢀⣀⣀⣁⣉⣉⣉⣭⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀⠀
⣿⣿⣿⣿⠀⠀⠀⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⣻⣿⣯⣤⣤⣴⣶⣶⣾⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡇⠀⠀⠀
⢸⣿⣿⡷⠀⠀⠀⢸⣗⣿⣿⣿⠿⠿⣿⡿⠿⠿⠟⠃⠀⠀⠁⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠀⠀⠀⠀
⣿⣿⣿⣷⣶⣶⣶⣾⣿⣿⣿⣤⣤⣼⣯⣅⣁⣨⣅⡀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⢀⣴⣾⠟⠁⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⡷⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⢀⣠⣶⠿⠋⠁⠀⠠⢴⣶⣶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⣿⣿⣿⠋⢠⣾⣿⣿⣿⣿⣿⣟⠉⠀⣈⣽⣿⣿⣟⠉⠙⠛⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⠋⠁⠀⠀⠀⣀⡠⣄⠻⣛⢛⢻
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⣀⣀⣠⡄⢰⣶⣾⡿⣿⣿⢿⣿⣿⠀⠘⢿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣀⣠⣿⣿⣿⣿⠿⡿⡿⠟⠛⢹⣿⠿⠛⣿⡇⠀⠈⠁⢀⣾⠋⠀⠒⠈⣴⣶⡹
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⣛⣭⡶⠇⠙⢹⣿⣿⠿⠋⠘⢻⣿⣦⠀⢈⣹⣛⠛⠻⣿⣿⣿⣿⣿⣟⣻⡍⠁⠀⣀⣀⣸⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠠⠞⠃⡄⢸⡻⢰⡆⡖⠀⣾⡇⠀⠀⠀⣴⠾⠛⠃
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣷⣾⣿⣭⣥⣶⡆⠾⠟⠋⠁⠀⠀⠀⣀⣿⣿⣿⣿⣿⣿⣿⣶⣼⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠁⣾⠹⠀⠈⢿⣧⡀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣭⡽⣻⣿⣿⣏⠀⣭⡭⠉⠁⠀⠀⢀⣠⣤⣤⡶⠾⠟⠛⠉⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡴⠁⠀⡿⢰⠀⢀⣿⡌⠛⢶⣤⣀⡀⠀⠀
⣿⣿⣿⣿⣯⣾⠿⢫⣾⣯⣴⡿⠋⠀⠁⣀⣠⣴⡶⠀⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡔⠀⠀⠀⡇⣺⡀⢸⠷⠂⠀⠀⠈⠉⠛⠻⢶
⣿⣿⡿⢙⣉⠤⠄⠛⠛⠋⣁⣠⣤⣶⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠞⠀⠀⠀⠀⠃⣭⣧⣽⣳⡆⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣶⣴⣶⣶⡶⠾⣿⣿⡿⡥⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠬⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⢠⠀⡇⣾⣿⠿⠇⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⡿⣷⣴⣶⣦⣟⡁⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢟⣽⣿⣿⣿⣿⣿⣿⣿⣿⣥⣿⣷⠁⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠷⣿⣿⣧⡆⠀⠀⠀⢶⣟⣛⣷
⣿⣿⣿⣿⣿⣿⣷⡽⣿⣿⣿⣿⠣⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⢠⠃⣿⣿⡟⣿⣿⡇⣿⣿⠉⣿⣿⡀⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢰⡿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠉⠙
⣿⣿⣿⣿⣿⣿⣿⡷⣜⣿⡆⠁⠀⠀⠀⠀⠀⠀⠀⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡶⡞⠀⠀⠀⠀⠀⠲⣆⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⢸⡧⣿⣿⣻⣿⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣷⠞⢹⠃⠀⠀⠀⠀⠀⠀⠀⠀⣥⣭⠶⢆⡀⠀⠀⠀⠀⠠⠀⠘⠟⠀⠀⠀⠀⠀⠀⠀⠑⠸⡒⢀⣠⣄⣀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢘⣛⣷⠾⠿⡏⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⠟⠛⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢰⢛⣿⣭⣥⣧⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣶⣾⣿⣿⣷⣾⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⣿⣛⣻⡃⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢸⣿⣿⣿⠃⠀⠀⠀⠀⢠⡟⣿⡀⠀⠀⠀⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⠿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢏⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀
⢦⣄⠀⣸⣿⣿⡟⠀⣠⣤⡶⢹⡞⢇⠿⠇⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣦⠀⠙⠛⠋⠉⣻⠟⠁⠀⠀⠀⠀⠀
⠀⣭⣿⣿⣿⣿⣿⣿⡟⢻⡃⠠⣻⣿⠀⣆⠀⣰⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠋⠘⠉⣴⣷⠀⠀⠀⠀⠛⢠⡀⠀⠀⠀⠀⠀
⣶⣿⣿⣿⣿⣿⣿⣿⠁⠸⠃⠀⢳⣷⣦⣌⣴⣿⣿⣿⣿⣵⡀⠀⠀⣠⣤⣤⣤⣤⣶⣤⣀⣀⣀⣴⣤⣦⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⣶⠀⠈⠀⢀⡀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣷⣌⡀⠀⢸⣿⣿⣿⣿⣿⣿⣻⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢰⡄⢰⡀⢹⡟⠀⠀⠀⠀⢦⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣽⣿⣿⣿⣿⣿⢸⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⢈⣤⣾⣃⣼⣇⣀⣀⣐⣀⣼⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡎⢿⡟⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠀⠀⠁⠻⠻⢿⢿⠛⠁
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡌⣧⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠉⠉⠁⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠇⠀⠀
⣿⣿⣿⠿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠭⠻⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀
⣿⣿⣿⣿⠆⠐⣈⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢺⣿⣿⣿⣿⡯⠉⠈⢿⣿⣿⡏⠀⠀⠀⠀⠀⠈⠠⠾⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠇⠀⠀⠀
⣿⣿⣿⡆⠀⠀⢸⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠇⠀⡆⠀⢸⣿⣏⣉⣀⣤⣠⣤⣾⣿⣿⣿⣶⣤⣤⣤⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀
⣿⣿⣿⣆⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡇⠀⣿⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⠀⠀⠀
⣿⣿⣿⣷⣤⣤⣼⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⠃⠇⠀⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⣠⣾⡟⠁⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠼⠤⠦⠤⠄⠀⠀⠁⠀⠘⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⡀⠀⠀⣀⣤⡾⠟⠁⠀⠀⢀⣤⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⠁⢰⣿⣿⣿⣿⣿⡿⠟⠛⠛⢿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣴⡾⠟⠉⠀⠀⠀⠀⣀⣀⢹⠿⠿⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⢀⣀⣠⡄⢴⣶⣾⣿⣿⣿⡇⠀⠛⣿⣿⣿⣿⣿⣗⣐⣤⣶⣿⣿⣿⣷⡀⠀⠀⠀⠉⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⠃⠀⠘⠂⠀⣴⠟⠡⠨⠀⣠⣤⠠
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡾⠟⣋⣭⡿⠇⢛⣿⣶⣿⠟⠹⣷⣤⡀⠙⠿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠃⠀⠀⢀⣤⣴⣿⣿⣿⡿⠛⠛⠛⠉⠀⢸⣿⠛⠁⡃⢼⠿⢠⠄⡤⠀⣼⡟⠀⠀⠀⢀⣽⡿⠇
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣾⣿⣭⣥⣤⡤⠾⠟⠋⠀⠀⠀⠙⣿⣷⣶⣿⣷⣦⣌⣿⣿⣿⣿⣿⣿⣿⣤⣴⣶⣶⣿⣿⣿⠿⠋⠉⠀⠀⠀⠀⠀⠐⠋⠀⠐⠈⡆⣾⠁⣼⢷⠁⠀⢿⣇⠀⠀⠀⠈⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣏⣽⢟⣿⣿⣟⠉⣩⣿⡉⠉⠉⠁⠀⢀⣀⣤⣤⣶⠾⠟⠋⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡁⠇⠀⣿⢨⠀⠀⣾⡙⠷⣤⣀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣵⡿⠟⣵⣟⣡⣿⠟⠀⠋⠁⣀⣠⣴⡦⠸⠟⠉⠉⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣟⣛⢻⡿⣿⣿⣿⣿⣿⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡞⠁⠀⠀⡇⢼⠀⢸⣯⠅⠀⠈⠙⠻⠷⣶⣤
⣿⣿⣿⠛⣛⣍⣀⡾⠿⠛⠋⣁⣤⣴⡶⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡜⠁⠀⠀⠀⠃⢞⣂⢰⢦⡄⠀⠀⠀⠀⠀⠀⠈
⣿⣿⣿⣦⣤⣤⣤⣴⠶⠾⣿⡿⢋⡽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⡟⠏⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠏⠀⠀⠀⠀⠀⠀⡏⣽⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⡿⣷⣴⣷⣦⣟⡁⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡶⢛⣿⣿⣿⣿⣿⣸⣿⣿⣥⣿⣷⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⣇⣻⣷⣦⣄⠀⠀⠀⣤⡴⠶⣦
⣿⣿⣿⣿⣿⣿⣷⡽⣿⣿⣿⣿⢋⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢀⡝⣿⣿⡯⣿⣿⡇⣿⣿⠉⣿⣿⡀⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢣⣽⣿⣿⣯⡿⠀⠀⠀⠈⠉⠛⠻
⣿⣿⣿⣿⣿⣿⣿⣷⣝⢻⡧⠁⠈⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢭⣴⠁⠀⠀⠀⠲⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⣇⣾⣿⢿⣷⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⡸⢫⡇⠀⠀⠀⠀⠀⠀⠀⠀⢈⣙⣳⡄⡀⠀⠀⠀⠀⢀⠀⠁⠯⠇⠀⠀⠀⠀⠀⠈⠻⠏⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠸⣿⣭⣿⡿⣿⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡟⠛⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⠶⣶⣒⣛⣰⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⣷⣀⣀⣠⣤⣶⣿⣦⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⢰⡿⣿⢶⣶⡧⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣸⣿⣿⣿⠃⠀⠀⠀⠀⢈⠛⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠻⠛⠋⠁⣀⣀⣀⣠⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣿⠟⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀
⠀⠀⠀⣿⣿⣿⠟⠀⣀⣤⡖⢐⠹⠀⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠈⠺⣿⣿⣿⡿⣿⡿⠃⠀⠀⠀⠀⠀
⣬⣿⠍⣽⣿⣿⣶⣿⡿⢻⠀⠰⢧⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠟⣡⡄⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀
⣿⣿⣦⣼⣿⣿⣿⡿⠁⢸⠀⠈⣸⣟⣀⠠⡀⠀⠀⠀⠀⢀⡄⠀⠀⣀⣀⣀⣀⣀⠀⠀⠀⢀⡀⣀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠛⠃⠀⠀⠀⢠⡏⠁⠀⠀⠀⠀⠀⢀
⣿⣿⣿⣿⡿⣿⣿⣷⡀⠘⠀⠀⣿⣿⣿⣿⣷⠀⠀⣀⢠⣿⡇⠀⣸⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠺⣧⠄⠀⠀⠂⠰⡀⠀
⣿⣿⣿⣿⣷⣼⣿⣿⣷⣤⣤⣀⣀⣻⣿⡿⣿⣤⣼⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠀⣷⠀⠺⡦⠀⠀⠀⠀⣷⡖
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢻⡇⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠿⠓⠞⠻⢰⣦⣤⣤⣼⡿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠷⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠈
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠁⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠀⠀⠀
⣿⡿⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⢦⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀⠀⠀
⣿⣿⣿⡏⠀⣹⡉⠋⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⢸⣿⣿⣿⣿⡿⠿⢻⣿⣿⣿⠇⠀⠀⠀⠀⠉⠋⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡏⠀⠀⠀⠀
⣿⣿⡇⠀⠀⠹⣧⡄⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠐⠀⠀⠘⣿⡛⠉⢁⣀⣀⣠⣿⣿⣿⣂⡀⣀⣀⣀⣀⣀⣈⣉⣉⣩⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠀⠀⠀⠀⠀
⣿⣿⣿⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠻⠀⠀⠀⠀⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠃⠀⠀⠀⠀⠀
⣿⣿⣿⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡄⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠃⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⢿⣿⡿⠿⠿⠿⠦⠀⠀⠀⠸⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⢀⣠⣾⠟⠁⠀⠀⢠⣄⠀⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡿⠉⢠⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢀⣤⣶⠟⠋⠀⠀⠀⠀⠀⠈⢹⣶⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⣀⣠⡄⣤⣶⣾⣿⠁⠀⢺⣿⣿⣿⣿⡟⠁⠀⣠⣤⣿⣿⣿⣿⣛⢛⠻⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡍⠀⠀⠀⠄⠀⢠⣶⢞⣳⠂⠄⣀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⡾⢛⣋⣭⡿⠛⣿⣭⣼⡿⣧⣀⡀⢻⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⡷⠀⠀⠀⢀⣀⣨⣿⣿⣿⣿⣿⣿⠿⠟⢛⣿⣿⡿⠛⢁⣾⣿⡇⢀⡀⣀⠀⢰⣿⠁⠀⠉⠀⣻⣿⣇
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣶⣾⣛⣉⣤⣤⢰⡿⠟⣫⠀⠈⢻⣿⣿⣿⣧⣉⣹⣿⣿⣿⣿⣯⡽⠎⣀⣀⣀⣠⣿⣿⣿⠿⠛⠁⠀⠀⠀⠀⢀⡘⠋⠁⠀⠀⢸⡿⠿⠀⢸⢫⡏⠀⣾⣇⠀⠀⠀⠘⠉⠁⠀
⣿⣿⣿⣿⣿⣿⣿⣟⣻⡿⣿⣿⣿⢋⠛⡛⠛⠛⠛⠋⠉⠀⠀⣀⣀⣤⣶⠾⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⠞⠀⠀⣿⠘⠀⠀⢼⡿⣦⣀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣫⣾⡿⣫⣾⣋⣽⡿⠀⠀⠚⠀⢀⣠⣤⡄⠾⠛⠋⠉⠁⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣛⣛⢿⡿⣿⣿⣿⠿⢉⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠏⠀⠀⠀⡏⢸⠀⢰⣞⡃⠈⠙⠻⠶⣶⣤⣀
⣿⣿⣿⠿⢛⢋⢁⡰⠿⠿⠟⠋⣀⣠⣴⡶⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣘⠗⠀⠀⠀⠀⡇⣼⠆⢨⣍⡁⠀⠀⠀⠀⠀⠈⠙
⣿⣿⣿⣤⣩⣭⣬⣤⡤⣶⣶⣿⠟⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⠋⠀⠀⠀⠀⠀⡁⣾⢻⣾⣾⡗⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣷⣴⣶⣶⣟⡉⠩⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⢿⣿⣿⣿⣿⣿⣾⣿⣿⣤⣿⣷⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡷⢾⣯⣝⡃⠀⠀⠀⢀⣀⣤⣄
⣿⣿⣿⣿⣿⣿⣷⡹⣿⣿⣿⣿⠃⣠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠅⡺⣿⣿⣿⣿⣿⡇⣿⣿⠉⣿⣿⡀⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⣛⣻⣿⡟⣿⠀⠀⠀⠘⠛⠶⠾
⣿⣿⣿⣿⣿⣿⣿⣷⣿⠟⣶⠥⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣽⣠⠇⠀⠀⠀⢢⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠉⡏⣽⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣩⠟⡿⠀⠀⠀⠀⠀⠀⠀⠠⠀⠐⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⣞⡟⠀⠀⠀⠀⠀⠙⠿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⣷⣛⣿⡟⣿⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⠛⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣩⣭⠥⢾⢠⠀⠀⠀⠈⠁⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣠⠀⠀⣀⣠⣤⣴⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢀⣽⣭⣭⣋⣿⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣿⣿⣿⡏⠀⠀⠀⠀⠀⡈⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⡬⣿⣿⣿⠟⢻⣿⣿⣿⣿⣿⡿⠉⠀⠀⠀⠀
⠀⠀⠸⣿⣿⡿⠃⢀⣤⡴⠚⠏⠓⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠱⢿⠃⠀⠀⠘⢿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀
⠀⠠⡀⣿⣿⣷⣾⡿⠋⡃⢀⣐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡀⠘⠿⡷⢦⢾⣿⠟⢛⠁⠀⠀⠀⠀⠀⠀
⠀⠀⢰⣿⣿⣿⣿⣿⣾⣿⣿⣿⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⣀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⡿⠋⣠⣄⠀⠀⠀⠀⢯⡾⠉⠀⠀⠀⠀⠀⠀⠀
⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣦⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢀⡾⠛⠁⠀⠀⠀⢀⣤⡄⠀⠀⠀⠀⠀⠀⡆⠀
⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⢿⣥⡀⠀⠀⠀⠀⠀⠀⠀⠐
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⣰⡶⠀⣤⠘⠿⠷⠀⠀⠀⠀⢠⣄⠈⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣯⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⠿⠟⠻⠶⢋⠀⣴⣤⣄⣀⣾⣿⡆⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⡿⡿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣉⡉⠉⠉⠁⠉⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣣⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣭⣬⣿⡟⠟⠛⠘⠈⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡇⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⠿⢻⣷⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⡟⠉⠉⠛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠟⠁⠀⠀⠀⠀⠀
⣿⣿⣿⣿⠁⠀⠈⣯⣷⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣧⣤⣤⣼⣿⣿⣿⣥⣠⣤⣤⣤⡴⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠏⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⠄⠀⠠⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣦⣤⣤⣭⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⢀⣼⣿⠋⠀⠀⠀⠀⠀⠠⣤⣦⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣉⠛⠛⠛⠒⠂⠂⠀⠀⠸⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⢀⣴⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠺⣿⡿⠟
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⢀⣀⣠⣭⣆⣿⣿⣿⣿⣏⠁⠈⢉⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣴⡾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠿⠷⠶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⣶⠶⢛⣛⣯⡽⠟⣙⣿⣿⣿⣿⣿⣿⣧⣴⣿⣿⣿⣿⣿⣿⡿⠟⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠁⠀⢠⡰⠀⠀⡀⠀⠀⠀⣠⡿⠋⠀⠀⢠⣼⣎
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣛⣭⡶⠾⠛⢉⣀⣤⣧⡿⠟⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣧⠀⠀⣀⣤⣴⣿⣿⣿⣿⠿⠻⠿⠟⢛⣿⣿⣿⠿⠛⠃⠀⠐⠰⠆⠀⠀⠀⠀⢸⣷⡷⠀⣀⣿⠁⠀⠀⠀⣤⠿⠛
⣿⣿⣿⣿⣿⣿⣿⡿⢛⣿⢿⣿⣾⠟⠛⠻⠿⠟⠛⠛⠛⠉⠁⠀⠀⢀⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⣠⠘⠛⠉⢀⠐⠀⠀⠀⠀⠀⢘⠤⠄⠀⠀⣸⢸⡇⠀⠹⣿⣆⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣛⣭⣿⢟⣵⠟⣹⣿⠇⠠⠘⠃⠀⢀⣀⣤⡄⠶⠟⠛⠛⠋⠁⠹⣿⣿⣿⣿⣿⣛⣛⣿⣿⣿⢿⡿⣋⣃⣀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣠⡎⠁⠀⠀⠀⡿⢨⠀⠀⣸⣧⠙⠷⣦⣄⣀⠀⠀
⣿⣿⣿⡿⠿⠛⠋⠠⣿⣿⠿⠟⠁⢀⣠⣴⡶⠿⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢸⣿⣿⣿⡀⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⢠⢠⣤⣾⡳⠂⠀⠀⠀⠀⡇⢸⡀⠀⠿⠆⠀⠀⠀⠉⠛⠻⠷
⣿⣿⣿⣧⣈⣋⣈⣀⢠⣤⡴⣶⠿⢻⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⠿⣿⡇⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⣻⢜⠟⡿⠁⠀⠀⠀⠀⠀⡇⣛⣛⣠⣶⣦⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣷⣤⣶⣦⣟⡓⠉⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣾⣿⣤⣿⣷⠀⣿⡇⠀⠀⠀⠀⠀⠀⠐⠈⠓⠓⠀⠀⠀⠀⠀⠀⠀⡇⣿⢹⣿⣭⣿⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡝⣿⣿⣿⣿⠃⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢛⣟⢻⣿⣿⡿⣿⣿⡇⣿⣿⠉⣿⣿⠀⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣼⣿⣷⣶⢘⠀⠀⠀⣶⣶⣾
⣿⣿⣿⣿⣿⣿⣿⣷⣮⡿⣱⣡⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣒⣀⡏⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣶⠾⣿⣯⣿⠺⠆⠀⠀⠈⠉⠉
⣿⣿⣿⣿⣿⣿⣿⣿⢟⡶⣿⠀⠀⠀⠀⠀⠀⠀⢀⢰⠠⢄⠀⠀⠀⠀⠀⠀⠀⠀⠰⣼⠻⠀⠀⠀⠀⠈⠻⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⣿⣸⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⠟⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⡆⢐⣻⣭⣴⢀⠀⠀⠀⠈⣓⠆⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢿⣶⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣿⣿⣿⡏⠀⠀⠀⠀⠀⡈⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣷⡄⠻⣿⡀⣀⣽⣿⢿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀
⠀⠀⠈⣿⣿⡟⠁⢀⣤⡆⠈⣧⠇⠘⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠳⣠⣽⠛⠉⠀⠀⠈⢹⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀
⠀⠀⣀⣿⣿⣷⣿⡿⠋⡇⠀⢚⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢤⣤⣄⡀⠀⢈⣿⡟⢛⠁⠀⠀⠀⠀⠀⠀
⠀⠀⣸⣿⣛⠛⠿⠁⠀⣧⣾⣿⣷⣶⣄⠀⠀⠀⠀⠀⠘⢢⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠟⠀⠀⠉⠉⠋⠀⠀⣠⠿⠛⠄⠀⠀⠀⠀⡀⠀
⣀⡐⢿⣿⣿⣿⣷⣤⣿⣿⣿⣿⣿⣿⣿⡇⠀⣀⡀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣴⣴⣶⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⢀⣴⠿⠀⠀⠀⠀⠀⠈⠛⡋⠀⠀⠀⠀⠀⠀⢸⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣾⣿⡏⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⢠⡾⡏⠋⠈⠁⠀⠀⠀⠀⠀⠀⣻
⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⢀⡀⠀⠀⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⣡⣾⣏⡌⠉⠉⠀⠀⠀⠀⣰⣤⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠍⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠑⠂⠺⠿⣷⡶⠾⠿⠟⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢏⣿⡷⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣏⣩⡍⠉⠀⠀⠀⢁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⠀⠀⠀⠀⠀⠀⠀
⢻⣿⣿⣿⣿⣿⡿⣿⣆⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⣿⣿⣿⣿⠟⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠇⠀⠀⠀⠀⠀⠀⠀
⢸⣿⣿⣿⣿⠋⠀⢻⣿⣤⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣷⣶⣶⣿⣿⣿⣏⣤⣤⣤⣬⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣿⣿⣿⡿⠀⠀⠸⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣶⣿⣿⣿⣿⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣙⠉⠛⠛⠛⠓⠀⠀⠈⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⢀⣠⣾⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣘⢿⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⣀⣀⣬⣧⣿⣿⣿⣏⡁⠀⢈⣩⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣀⣠⣴⠿⠛⠁⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣶⡦
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡶⠟⢛⣻⣭⠿⢿⡏⣿⣿⣿⣿⣧⣶⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⠠⢮⠁⠀⠀⡀⡀⠀⠀⡀⣰⠟⠃⠀⠀⣠⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣯⣥⣶⣞⣛⣉⣠⣤⣾⠺⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣽⠈⢀⣀⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠏⠉⠀⠀⠀⠀⠀⡤⠎⠀⠀⢰⣧⡶⠄⠀⣿⡟⠀⠀⠀⢀⣹⠿
⣿⣿⣿⣿⣿⣿⣿⣟⣛⣿⢿⣿⣶⡟⠛⠛⠻⠛⠛⠛⠋⠁⠀⠀⢀⣀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⠋⠀⠀⠈⠀⣼⡿⠟⠛⠁⠀⠀⠀⠀⠀⠀⢀⡀⠀⠁⠀⠀⠀⢸⢳⡇⠀⠨⢿⣇⠀⠀⠀⠈⠀⠀
⣿⣿⣿⣿⣿⣏⣥⡿⢟⣵⠟⣹⣿⠇⠀⠀⠀⠀⣀⣠⣤⣴⠆⠟⠛⠉⠉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠋⠀⣀⣀⣀⠀⢀⣛⣁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠎⠀⠀⠀⠀⣿⢨⡅⠀⠀⣧⠹⢷⣤⣀⡀⠀⠀
⣿⣿⣿⡟⠛⠛⠉⠀⣿⡿⠿⠛⠁⣀⣠⣴⡾⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣿⡇⢰⣿⣿⣿⡀⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⢠⢤⣤⡾⠃⠀⠀⠀⠀⠀⣷⢸⠃⠀⢽⣥⠀⠀⠈⠙⠻⠷⣶
⣿⣿⣿⣷⣄⣩⣀⣀⠤⢤⡶⣾⡟⢛⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⡇⢸⣿⠿⣿⡇⠀⣿⡏⠀⠀⠀⠀⠀⠴⠀⠋⢀⣼⠛⠃⠀⠀⠀⠀⠀⡇⠸⣓⣀⡶⣤⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣷⣦⣶⣦⣏⡑⠉⡇⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⡇⣾⣿⣤⣿⣷⠀⣿⡇⠀⠀⠀⠀⠀⠀⠁⠀⠀⢻⡟⠀⠀⠀⠀⠀⠀⡆⣻⢩⣭⣛⣿⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡝⣿⣿⣿⣿⠁⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣟⢻⣿⣿⡏⣿⣿⡇⣿⣿⠉⣿⣿⡀⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⣇⢿⣘⣿⣿⣿⣠⡄⠀⠀⢠⣴⢶
⣿⣿⣿⣿⣿⣿⣿⣶⣮⡿⣱⡥⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⣂⡟⠀⠀⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠃⠀⠀⠀⠀⠀⠀⠀⣿⣬⣽⣿⣿⣽⡿⡇⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣏⡿⣿⠀⠀⠀⠀⠀⠀⠀⢠⢰⠇⠦⡀⠀⠀⠀⠀⠀⠀⠀⡰⣼⡻⠁⠀⠀⠀⠈⠛⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣻⢰⣿⣿⣿⡇⡁⠀⠀⠀⠀⠀
⣿⣻⣿⣿⣿⣿⣿⣿⠟⠛⡟⠀⠀⠀⠀⠀⠀⠀⠀⣰⢈⣯⣭⠴⢠⡀⠀⠀⠀⢙⣖⡄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢿⣮⣭⣿⣿⡇⠇⠀⠀⠀⠀⠀
⠀⠀⢀⣿⣿⣿⡇⠀⠀⠀⠀⠀⢀⠙⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⢿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⠀⠸⣿⡂⠀⠀⢀⣈⠉⢿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀
⠀⠀⠈⣿⣿⠏⠀⢀⣤⣦⠈⢆⠙⠀⠿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⡄⡙⣧⠴⠚⠉⠁⠀⠘⢿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀
⠀⠀⠀⢹⣿⣷⣿⣿⠋⠉⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠻⠃⢀⡀⠀⠀⠀⠀⠈⣿⠿⣉⡅⠀⠀⠀⠀⠀⠀
⠀⠀⢸⣿⠛⢛⣿⠃⠀⣀⣰⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⠄⠈⠻⠿⠶⠀⠀⠀⠀⢠⡔⡁⠁⠀⠀⠀⠀⠀⡀
⣶⣶⣤⣿⣶⣦⣀⢀⣠⣸⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣶⣶⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠋⢀⣴⡦⠀⠀⠀⠀⠀⠴⢆⡈⣳⣧⠀⠀⠀⠀⠀⠐⠧
⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⡟⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢠⠟⠉⠀⠀⠀⠀⣀⡤⠀⠀⠘⠛⠑⠀⠀⠀⠀⠀⠀⠰
⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⠀⠀⠀⠀⠀⠈⢻⣶⣄⠀⠈⠙⠛⠀⠀⠀⠀⠀⠀⠀
⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⢀⡤⠘⠿⠿⠀⠀⠄⠀⠠⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠻⠿⠵⠛⠳⠿⣄⣤⣶⣤⣀⣠⣾⣿⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡙⠛⠛⠩⠋⠁⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣛⣩⡚⠛⠉⠉⠉⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢻⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⢻⣿⣿⣿⡿⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⣿⣿⣿⣟⠋⠁⢻⣿⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣤⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⣿⣿⣿⡏⠀⠀⠸⢟⠧⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣭⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠉⠉⠉⠉⠁⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⢀⣀⣀⣤⣤⣾⣿⣿⣏⣀⡀⢀⣉⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠀⢀⣤⣾⡟⠃⢀⢘⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡶⠶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠿⢛⣩⣭⠷⠟⢫⢿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡾⠟⠋⠁⠀⠀⣌⣹⠀⠀⠀⡀⢀⠀⠀⠀⣠⡾⠃⠀⠀⢀⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⡿⣿⣧⣶⣾⣿⣭⣤⣤⣴⠿⠟⠈⢿⣿⣿⣿⣿⣿⣿⣿⡇⢀⣀⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠉⠀⠀⠀⠀⠀⢨⣿⠇⠀⠀⠰⡧⡶⠄⠀⢰⣿⠀⠀⠀⢀⣨⠿
⣿⣿⣿⣿⣿⣿⡿⣿⣭⣽⢟⣿⣿⡏⠉⠙⠛⠋⠉⠉⠁⠀⠀⢀⣠⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠁⠙⠉⣹⣿⣿⡿⠿⠏⠉⠠⠀⠀⠀⠀⠀⠀⠀⢀⣠⠂⠀⠀⠀⢸⢳⡇⠀⠈⠸⣿⡀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣯⣶⠿⢋⣵⣟⣥⣿⠃⠀⠀⠀⣀⣠⣤⣶⠾⠛⠉⠉⠉⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⣋⣀⠀⠀⣀⣐⣿⠛⢉⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠃⠀⠀⠀⠀⢸⢨⡍⠀⠀⣶⠘⠿⣶⣄⣀⠀⠀
⣿⣿⣿⣿⠙⢉⠁⠀⠻⠟⠛⠉⣀⣠⣴⠾⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠟⣿⣿⡇⣿⣿⡇⢰⣿⣿⣿⡀⢸⣿⣿⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⡴⠃⠀⠀⠀⠀⠀⣿⢸⡇⠀⠨⢥⠀⠀⠈⠙⠛⠻⠷
⣿⣿⣿⣿⣦⣤⣤⡴⠶⠶⠾⣿⡟⣩⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡄⣿⣿⣷⣿⣿⡇⢸⣿⠿⣿⡇⠀⣿⡏⠀⠀⠀⢈⠀⣿⣸⣾⣿⣿⣿⡿⠀⠀⠀⠀⠀⠛⢘⣓⣢⣆⣤⡄⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣷⣦⣶⣦⣏⡹⠁⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣷⣿⣿⡏⣿⣿⡇⣾⣿⣤⣿⣷⠀⣿⡇⠀⠀⠀⠀⠂⠍⠛⢟⣯⣿⡿⠃⠀⠀⠀⠀⠀⣶⢸⢩⣽⣝⣿⠁⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡝⣿⣿⣿⣿⠁⣠⠎⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⠿⢙⣿⣿⡇⣿⣿⡇⣿⣿⠉⣿⣿⠀⣶⡆⠀⠀⠀⠀⠀⠀⠀⠘⣛⣿⠇⠀⠀⠀⠀⠀⠀⣿⢸⣙⣿⣶⣿⡇⡇⠀⠀⠀⣴⣶
⣿⣿⣿⣿⣿⣿⣿⣷⣮⡟⣱⡗⠚⠁⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠬⣇⡟⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣿⡏⠀⠀⠀⠀⠀⠀⠀⣿⣬⣿⣯⣿⣽⡗⡧⠀⠀⠀⠉⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣇⡟⣹⠃⠀⠀⠀⠀⠀⠀⠰⡒⡏⢒⣤⠀⠀⠀⠀⠀⠀⣀⡜⡰⡽⠁⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⣟⢸⣐⣾⣿⢿⣧⣁⠀⠀⠀⠀⠀
⣟⣿⣿⣿⣿⣿⣿⣿⠛⠛⣿⠀⠀⠀⠀⠀⠀⠀⠀⡇⡅⢼⣶⣾⣓⡄⠀⠀⠀⠫⣽⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣖⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢫⠸⣧⣭⣿⣽⡿⠟⠀⠀⠀⠀⠀
⠀⠀⢸⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⢈⡈⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⠿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣤⠀⠀⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠋⢿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀
⠀⠀⠈⣿⣿⠃⠀⠀⢀⣠⡆⠀⡀⠀⠈⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⠷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡄⠈⢿⣿⡀⢀⡤⠶⠒⠀⠀⠀⠀⠈⢿⣿⣿⣿⡿⠿⠫⠀⠀⠀⠀
⠀⠀⠀⠘⣿⣶⣶⣾⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠦⣬⠁⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡿⢻⣿⣶⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠟⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⣠⣄⠀⠀⠀⠀⠀⠀⠂⠀⠀⣿⣡⣟⡄⠀⠀⠀⠀⠀⠀
⣿⣷⣀⠀⠈⢠⣶⣤⡀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⣼⣿⣿⣿⣷⣶⣶⣶⣷⣶⣶⣶⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠚⠀⠀⠉⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⠾⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣷⣤⣼⣿⣿⣿⣤⣀⠀⠀⠀⢸⣿⣿⣿⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠈⠈⢁⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠁⠀⠀⠀⠀⠀⠶⣶⡒⠀⠀⠀⠀⠀⠀⠛⠃⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠟⠽⠆⢀⣤⠆⠀⠉⠉⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠰⢾⣿⣦⣤⣴⣿⡧⠠⠦⣀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠙⢡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠶⠭⠉⠉⠉⠑⠁⠀⠀⠀⠉⢴⣦⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⡀⠀⠀
⣿⣿⣿⣿⠛⠋⣿⡄⠁⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣽⣿⣿⣡⣀⣀⣙⣃⣀⣀⣀⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣬⣭⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠁⠀⠀⠀⠻⣿⣿⣿⠿⠿⢿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⢀⣼⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣠⣤⡴⠶⣟⣿⣶⣶⣤⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⣀⣴⣿⠟⠀⠀⠀⢀⣤⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠛⠛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⢛⣫⣤⠶⠛⠋⣁⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣾⡿⠛⠁⠀⠀⠀⣀⣾⣾⣿⡒⠀⠀⠀⣴⣠⡀⠀⠀⢠⡟⠁⠀⠀⠠⢶
⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣾⣿⣿⠿⠿⠿⠿⠿⠿⠟⠛⠉⠁⠀⣿⣿⣿⣿⣿⣷⣤⣤⣴⣶⣾⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠁⠀⠀⠀⠀⠠⣼⣿⣿⣯⣿⠀⠀⠀⢀⡏⣿⠉⠀⠀⣿⠁⠀⠀⠀⠐⠛
⣿⣿⣿⣿⣿⣿⢟⣻⣿⠿⣫⡾⣻⣿⠀⠀⠀⠀⠀⢀⣀⣠⣴⡶⡾⠻⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠀⠈⠛⣛⣽⣿⣿⣿⠿⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣷⡆⠀⠀⠀⢸⡇⡿⠀⠀⠀⠙⢷⣀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⡿⠿⠋⢡⣾⣿⡾⠟⠁⢀⣠⣤⣶⠾⠟⠛⠉⠀⠀⠀⢰⣿⣿⣿⣿⣿⠿⠟⠉⣀⣀⣀⣐⣾⠛⠛⣋⣉⣀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⠁⠀⠀⠀⢸⢰⡟⠀⠀⠀⠀⠈⠙⠿⣶⣦⣤
⣿⣿⣿⣿⣇⠂⠀⠀⣀⣉⣀⣤⣴⡾⢿⠏⠉⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡟⠉⠁⠀⠀⠀⣿⣿⡇⣿⣿⡆⢸⣿⣿⣿⡀⢸⣿⣿⠀⠀⠀⠀⢀⣤⡤⡿⣿⣿⣿⣿⠇⠀⠀⠀⠀⢸⢈⣧⣀⠀⠀⠀⠀⠀⠀⠀⠉⠙
⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⣿⣿⣿⡷⠛⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠸⣿⣿⡄⠀⠀⠀⠀⠀⣿⣿⣷⣿⣿⡇⢸⣿⠿⣿⡇⠀⣿⡇⠀⠀⠀⠁⠘⢃⣴⣻⣿⣿⣿⡟⠀⠀⠀⠀⠀⢸⣦⡷⢾⠤⠔⠂⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣷⣦⣶⣦⣏⡹⠃⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣷⣀⣀⣀⡀⠀⣿⣿⡏⣿⣿⡇⣾⣿⣤⣿⣷⠀⣿⡇⠀⠀⠀⠀⠸⠙⠉⡧⣽⣿⡟⠁⠀⠀⠀⠀⠀⢸⣟⣇⣿⣛⣶⡦⡄⠀⠀⠀⠀⣀
⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⢡⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⣁⡶⢀⣿⣿⡇⣿⣿⠃⣿⣿⠉⣿⣿⠀⣶⡆⠀⠀⠀⠀⠀⠀⠀⣭⣿⣿⠃⠀⠀⠀⠀⠀⠀⢸⡾⣷⠾⢿⠿⣿⣿⠀⠀⠀⠸⠿
⣿⣿⣿⣿⣿⣿⣿⣷⣾⢿⡷⣦⠀⠀⠀⠀⠀⠀⠀⢀⢠⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⡮⣭⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⢸⡿⡟⣛⣻⣻⡗⠻⠀⠀⠀⠀⠀
⣟⣿⣿⣿⣿⣿⣿⣿⣿⠟⢰⡇⠀⠀⠀⠀⠀⠀⠀⢘⠸⡇⣚⣃⣤⢀⠀⠀⠀⢘⣻⣾⡝⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣤⣾⣿⣿⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⣼⣴⣇⡿⢿⣽⣿⣴⠀⠀⠀⠀⠀
⢸⣿⣿⣿⣿⣿⣿⣿⡟⠛⢹⡇⠀⠀⠀⠀⠀⠀⠀⠘⣶⠃⣽⣿⢾⣾⡄⠀⠀⠀⠙⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣿⣿⣿⡁⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣯⣿⣿⣟⣛⣿⣹⠀⠀⠀⠀⠀
⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢡⡀⠀⠀⠀⠀⠀⠀⠀⠙⠙⠻⠿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣄⠀⠀⢻⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀
⠀⠀⠘⢿⣿⠁⠀⠀⠀⢀⣴⠀⠀⠀⠥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⡄⠈⣿⣷⠀⠀⢀⣤⠤⠤⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⡟⠛⠁⠀⠀⠀
⠄⠀⠀⠀⣿⣶⣤⣴⣾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣄⡀⠩⠒⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⠟⡽⠿⠿⠂⠀⠀⠀
⠀⠀⠀⠀⠹⠿⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⢀⡀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⣿⣏⣼⣧⠀⠀⠀⠀⠀⠀
⣤⠀⠀⠀⢠⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢠⣿⣿⣿⣿⣶⣶⣾⣿⣿⣶⣶⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠀⠀⠙⠛⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⡿⠃⠀⠀⠀⠀⠀
⣿⣷⣄⠀⠘⢿⣿⣦⡀⠀⠀⠀⠀⠀⢠⣿⣿⣷⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣶⣈⣿⣿⣿⣶⣶⣶⣦⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠀⣤⢴⠤⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡆⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⡼⢆⠀⠀⣀⡀⠀⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠙⠃⠀⢠⣴⣶⣄⠀⣠⣾⡇⢀⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡔⠛⠛⠛⠛⠛⠋⠀⠀⠀⠀⠀⠉⢴⡄⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠋⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⡀⠀⠀
⣿⣿⡟⠛⠉⠙⠏⠋⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣭⣭⣤⣤⣤⣀⣀⣀⣀⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠙⢿⣿⡿⠟⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣴⠶⢾⣻⣿⣿⣶⣷⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⣠⣾⡿⠋⠀⠀⠀⠀⢠⣨⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠀⠀⠉⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣛⣭⣴⠾⠛⣉⣀⣤⣿⣿⣿⣿⣿⣿⢿⠿⠿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣡⣴⣾⡿⠋⠀⠀⠀⠀⠀⢀⣿⣿⣷⡆⠀⠀⠀⠀⣴⣤⣄⠀⠀⢠⡟⠁⠀⠀⠀⢺
⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⠟⠛⠿⠿⠿⠟⠛⠋⠉⠀⣿⣿⣿⣿⣿⣷⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠉⠀⠀⠀⠀⢠⣴⣾⣿⣿⣿⣿⣷⠂⠀⠀⠀⡇⣿⠀⠀⠀⢻⡇⠀⠀⠀⠘⠉
⣿⣿⣿⣿⣿⣿⢟⣩⣿⠿⣫⡾⣻⣿⠆⠀⠀⠀⠀⣀⣠⣤⣶⠾⠻⣿⣿⣿⣿⣿⣿⣿⡿⠛⠋⠉⢋⣩⣿⣿⣿⣿⠿⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢰⡇⣛⠆⠀⠀⠈⢻⣤⣀⠀⠀⠀
⣿⣿⣿⣿⡿⠿⠟⠋⠁⣾⣿⡾⠟⠉⢀⣠⣤⡶⠟⠛⠉⠁⠀⠀⢠⣿⣿⣿⣿⠟⠛⠁⠀⠀⣀⣸⡿⣛⣛⠉⠉⣀⣀⣀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⡇⡿⠀⠀⠀⠀⠀⠈⠛⠿⣶⣦
⣿⣿⣿⣿⣧⣐⣀⣀⣀⣀⣤⣤⣶⣿⢻⡏⠁⠀⠀⠀⠀⠀⠀⠀⢸⣿⠟⠁⠀⠀⠀⠀⠀⠀⣿⣿⡇⣿⣿⡇⢰⣿⣿⣿⡀⠸⣿⣿⠀⠀⠀⢀⣰⣴⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⢸⡥⣧⣄⡀⠀⠀⠀⠀⠀⠀⠀⠈
⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⣿⣿⡿⣿⠋⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⣿⣿⡇⢸⣿⠿⣿⡇⠀⣿⡇⠀⠀⠀⠿⣻⣾⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⢸⣷⡟⣳⡶⠄⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣷⣦⣶⣦⣏⣹⠃⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠤⠤⢤⡄⠀⠀⠀⣿⣿⡏⣿⣿⡇⣾⣿⣤⣿⣷⠀⣿⡇⠀⠀⠀⠉⠽⠏⢹⣹⣿⣿⡟⠁⠀⠀⠀⠀⠀⢸⡏⡇⢿⣽⣿⣷⣆⠀⠀⠀⢀⣠
⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⢣⠴⠋⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠠⣺⣂⣿⣿⡇⣿⣿⠇⣿⣿⠉⣿⣿⡀⣶⡆⠀⠀⠀⠀⠀⢼⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⢸⣟⣛⣛⣿⢟⣿⣿⠀⠀⠀⠘⠿
⣿⣟⣿⣿⣿⣿⣿⣷⣮⡟⡷⣷⠀⠀⠀⠀⠀⠀⠀⢀⡴⣦⡆⣀⠀⠀⠀⠀⠀⠀⢀⡴⣼⣺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣱⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⢸⡟⡏⢭⣽⣿⣟⢹⠀⠀⠀⠀⠀
⢟⣼⣿⣿⣿⣿⣿⣿⣿⠟⠁⣿⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⢀⣭⡴⠦⡄⠀⠀⠬⢽⣟⡵⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣶⡄⠀⠀⠀⣽⠛⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⣛⣻⣶⣿⣸⠀⠀⠀⠀⠀
⣞⣿⣿⣿⣿⣿⣿⣿⣿⠛⠁⣧⠀⠀⠀⠀⠀⠀⠀⠀⣧⣏⢰⣿⣟⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣶⣿⣿⣇⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⣿⣿⣽⣭⣿⣽⡀⠀⠀⠀⠀
⠙⢻⣿⠨⣿⠉⠀⠀⠀⠀⠀⠀⠀⢄⠀⠀⠀⠀⠀⠙⠛⠛⠻⠿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠁
⠀⣾⡿⠤⠁⠀⠀⠀⠀⠀⢀⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⡆⢭⣿⡆⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡿⣿⣥⣷⡆⠀
⠀⠁⠀⠀⠀⠀⣀⣀⣤⣾⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣷⣦⡜⢿⠄⠐⠉⠁⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⡟⣰⣟⣿⣟⠀⠀
⠀⠀⠀⠀⠀⡸⠿⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣄⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⡀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣯⡿⠋⠛⠉⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⡆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⣀⣠⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣀⣀⣴⣶⣶⣶⣶⣿⣶⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠀⠀⠀⠀⠀⠀⠀
⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠁⠀⠀⠀⠀⠀⠀⠁⢠⣶⣎⠀⠀⠦⠀⠀⠀⠀⠀⠀⠀⠀⠛⠃⠀⠀⠀⠀⠀⠀⠀
⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣴⡆⠀⢀⠀⠀⠀⢿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⢀⡾⡇⠀⠀⢀⣠⣄⡀⠀⣤⣴⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⣿⡟⣣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠐⡦⢬⣿⠿⣿⡾⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠛⢧⣤⡀⠀⠀⠀⠀
⢻⣿⣿⣿⣿⣽⣿⣿⣿⠛⠁⠁⠘⠺⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠃⠀⠀⠀⠀
⢸⣿⣿⣿⣿⣿⣿⣿⠥⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣭⣤⣤⣤⣤⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀⠉⠋⠁⣙⣻⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⢀⣴⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣴⡶⢛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣴⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⠈
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣭⣵⣾⣛⣉⣠⣥⣿⣿⣿⣿⣟⢛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⢀⣸⣿⡇⠀⠀⢠⡀⠀⠀⠀⠀⢰⢠⡦⡄⠀⠀⣰⠃⠀⠀⠀⢘
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣛⣿⢿⣿⣿⠛⠛⠛⠛⠛⠛⠉⠁⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠉⠁⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣦⣴⣿⣿⡆⠀⠀⠀⣼⢸⡇⠰⠉⠀⣿⠀⠀⠀⠀⠉
⣿⣿⣿⣿⣿⣿⣿⣛⣽⡿⢟⣵⢟⣽⡿⠀⠀⠀⠀⣀⣤⣤⡶⠿⣿⣿⣿⡿⠛⠉⠁⣈⣥⣿⣿⡿⣿⠟⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⡟⣨⡗⠁⠀⠀⠘⢷⣤⣀⠀⠀
⣿⣿⣿⣿⣿⡿⠿⠛⠉⠰⡿⠿⠿⠋⢁⣠⣴⣶⠿⠛⠉⠀⠀⣠⡿⠋⠉⠀⠀⠀⠀⠛⠋⠉⣙⣀⡀⣀⣀⠀⠀⣀⣀⣀⠀⢀⣀⣀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣧⢿⢀⠀⠀⠀⠀⠀⠈⠛⠿⢷
⣿⣿⣿⣿⣿⣧⣅⣀⣤⣤⣤⣴⣶⣿⣟⣻⡇⠀⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣿⣿⡇⣿⣿⡇⢸⣿⣿⣿⡀⢸⣿⣿⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⣧⠾⠶⠥⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⣿⡿⣿⡿⠉⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⡤⠄⠀⠺⣿⣿⣿⣷⣿⣿⡇⢸⣿⠿⣿⡇⠁⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⣿⣿⢛⣟⣓⣀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣷⣦⣶⣦⣏⣹⣿⠁⣠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠀⠀⡀⠀⠉⣿⣿⡏⣿⣿⡇⣾⣿⣤⣿⣷⠀⣿⡇⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⣿⣿⣸⣿⣯⣿⣿⡆⠀⠀⠀⣤
⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⠷⠚⠁⠀⠀⠀⠀⠀⠀⠀⢠⠁⠀⠀⠀⠀⠀⠀⠁⣰⢦⣿⣿⡇⣿⣿⡇⣿⣿⠉⣿⣿⡀⣶⡆⠘⠩⢳⣽⣽⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⣿⣻⣭⣟⣛⣹⢿⡇⠀⠀⠀⠙
⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣇⡗⣼⠀⠀⠀⠀⠀⠀⠀⠰⡚⣗⡟⣤⢀⠀⠀⠀⠀⢠⣴⣏⢿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⡿⢻⠠⠾⠯⣭⡅⡇⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⡇⣽⠇⣶⣛⣵⡆⠀⠈⠘⢺⠿⠏⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⣀⡀⠀⠀⠀⠀⠊⠙⡛⣟⣿⡟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣬⣿⣿⣿⡯⣿⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⢠⣭⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣷⡄⠀⠀⠀⠨⠀⠀⠀⠉⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣶⡾⣿⣿⣾⡷⣯⠀⠀⠀⠀
⠀⠀⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠠⢄⠀⠀⠀⠀⠙⠛⠿⠿⢿⣼⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣧⡿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁
⠀⠀⢸⣿⣄⠀⠀⠀⠀⠀⠀⣰⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⢿⣿⣶⣾⠀
⠀⠀⠈⠁⠀⠀⢀⣀⣠⣴⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⢿⡀⠠⠒⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣡⣾⣿⣿⡇⠀
⠀⠀⠀⠀⠀⠰⠿⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⣦⣄⣀⣀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡿⠛⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣄⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⠋⠉⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣀⣼⣿⣿⣿⡆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣣⣤⣤⠦⠀⠀⠀⠀⠀
⢀⣤⣄⣀⠀⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠄⠁⣠⠄⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠃⠀⠀⠀⠀⠀⠀
⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢰⠏⠀⠀⠀⠀⠀⠀⠉⠉⢩⣅⠀⠠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠇⠀⠀⠀⠀⠀⠀⠀
⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⡄⠀⠀⠀⠀⠀⢰⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠀⠀⣾⡦⡀⠀⠀⣁⣀⠀⠀⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⣿⣿⣿⣿⣿⣿⡟⣻⡟⠯⢿⡟⠛⡟⢫⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠻⠤⣤⣈⣿⣿⣧⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣦⣄⠀⠀⠀⠀⠀
⠀⠈⣿⣿⣿⣿⣿⣿⣿⠛⠁⠀⠀⠈⠘⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠐⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠀⠀⠀⠀⠀
⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣖⠀⠀⠀⠀⠀⢀⣶⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡍⠉⠙⠂⢀⣀⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⠾⢟⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⢠⣀⠀⠀⢏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠆⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣴⣾⣛⣩⣤⣤⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠀⠀⢸⣿⣤⣄⡀⠀⠀⠀⢰⢧⡶⠤⢀⡀⢠⡇⠀⠀⠀⢀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣻⢿⣿⣿⡟⠉⠛⠛⠛⠋⠉⠁⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠁⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣷⣴⣿⣿⣿⣿⡷⠀⠀⠀⢸⢰⡇⣘⠂⠀⢸⣆⠀⠀⠀⠈
⣿⣿⣿⣿⣿⣿⣿⣟⣵⣿⢟⣷⣟⣩⣿⠇⠀⠀⠀⣀⣤⣴⡶⠿⣿⣿⠛⠁⠀⢠⣤⣶⣿⣿⠿⠿⠋⠁⠌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⢸⢨⡽⠂⠀⠀⠀⠹⢶⣄⣀⠀
⣿⣿⣿⣿⣿⣿⠿⠛⠋⠀⠾⠿⠟⠋⢁⣠⣴⡶⠟⠛⠉⠀⣠⡶⠣⠀⠀⠀⠀⠘⠉⠀⣀⠁⣀⣀⡀⣀⣀⠀⠀⣀⣀⣀⠀⢀⣀⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣷⢸⠡⡄⠀⠀⠀⠀⠀⠙⠛⠿
⣿⣿⣿⣿⣿⣿⣦⣥⣤⣤⣤⣶⣶⣿⣿⣫⣿⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⢀⣰⣻⣷⣿⣿⡇⣿⣿⡇⢸⣿⣿⣿⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⣾⢺⣷⣦⠄⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⣿⣿⣿⣿⣿⠋⢸⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⡿⠛⠈⢹⣿⣿⣿⣿⣷⣿⣿⡇⢸⣿⠿⣿⡏⡇⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⣿⢽⠍⣽⣽⣁⡀⡀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣷⣦⣶⣦⣏⣹⣿⠏⢀⡜⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⢀⠈⠉⣿⣿⡏⣿⣿⡇⣾⣿⣤⣿⣷⠇⣿⡇⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⣿⢸⣘⣿⣾⣿⡟⡇⠀⠀⠀⢰
⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣯⡿⠚⠉⠀⠀⠀⠀⠀⠀⣀⠀⡜⠀⠀⠀⠀⠀⠀⠀⢈⣳⣿⣿⡇⣿⣿⡇⣿⣿⠉⣿⣿⡀⣶⡆⣿⢽⣿⣿⣽⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⣿⣸⣯⣭⣽⣽⡇⡧⠀⠀⠀⠈
⢿⣿⣿⣯⣿⣿⣿⣷⣾⣿⣷⡥⢸⡇⠀⠀⠀⠀⠀⠀⠀⢋⢻⣽⠃⢆⡀⠀⠀⠀⠀⢴⣾⡾⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠹⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⣿⢹⣅⣒⣲⢶⣦⣷⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⢸⡇⠀⠀⠀⠀⠀⠀⠀⢸⣸⣾⢘⣯⣭⣿⠀⠀⠈⠙⠟⠞⠀⠀⠀⠀⠀⠀⠀⠸⣶⡄⠀⠀⠀⠀⠀⠑⠉⡟⣻⣿⣿⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⠿⣷⣯⣿⣿⣿⢿⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠈⣬⡇⠸⣶⣾⣽⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣀⣀⠀⠀⠀⠀⠀⠠⠈⠘⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣼⡿⣿⣶⢾⡿⣿⠀⠀⠀⠀
⠀⠀⠀⠻⣿⡇⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠙⠛⠻⠿⢯⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⡘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⡋
⠀⠀⠀⠘⢿⣧⠀⠀⠀⠀⠀⣠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⡟⣿⣷⣿⣟
⠀⠀⠀⠀⠘⠁⠀⢀⣠⣴⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⠃⠀⠀⠒⠉⠉⠁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣏⣼⣿⣿⣿⠋
⠀⠀⠀⠀⠀⠀⠄⠿⣏⣹⠃⠀⡅⠀⠀⠀⠀⢠⣦⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀
⠀⠀⠀⠀⠀⠀⠀⣀⣻⣿⣦⣤⣶⣤⣀⠀⠀⢼⣿⣿⣿⣿⣿⣿⣿⣶⣶⣦⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠿⠟⠉⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣯⣤⣴⡦⠀⠀⠀⠀⠀
⠀⣶⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠠⠁⢠⡴⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⣿⣿⠏⠀⠀⠀⠀⠀⠀
⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠃⠀⡟⠀⠀⠀⠀⠀⠀⠈⠉⠙⠷⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡏⠀⠀⠀⠀⠀⠀⠀
⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣀⠀⠀⠀⠀⠀⠀⣠⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠁⢠⣤⣀⡀⠀⠀⠉⠁⠀⢀⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠘⣿⣿⣿⣿⣿⣿⣴⣿⠿⢿⡻⣯⣿⣿⡿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣁⣀⣐⣿⣿⣦⣾⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢲⣤⡀⠀⠀⠀⠀⠀
⠀⠸⣿⣿⣿⣿⣿⣿⣟⠁⠀⠀⠀⠀⠉⠙⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠩⠍⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠋⠀⠀⠀⠀⠀
⠀⠀⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⢀⣶⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠉⠛⠁⣐⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢣⣶⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡾⢛⣛⣽⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠰⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠆⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣯⣴⣾⣿⣭⣤⣤⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡇⠀⠀⣿⣿⣦⣄⣀⠀⠀⠀⠀⢰⡇⣿⠲⠀⡀⢠⡏⠀⠀⠀⢀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣩⡿⣻⣿⣿⠉⠉⠉⠉⠉⠉⠀⢻⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠻⠇⠀⠲⠇⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣤⣴⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⢧⣏⠬⠁⠀⠸⣇⠀⠀⠀⠈
⣿⣿⣿⣿⣿⣿⣿⣿⣭⣾⠿⣻⣾⣫⣾⡟⠀⠀⠀⣀⣤⣴⡶⠟⡿⠃⠀⠀⣴⣶⣾⡿⡿⢻⠿⠉⠠⠉⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⢸⢰⡞⠁⠀⠀⠀⠘⠷⣦⣄⣀
⣿⣿⣿⣿⣿⣿⡟⠛⠋⠀⠐⠿⠛⠛⣁⣠⣤⡾⠿⠛⠉⣥⠰⠄⠁⠀⠀⠀⠉⢠⣤⣤⣟⠉⣀⣀⡀⣀⣀⠀⠀⣀⣀⣀⠀⣀⣀⣐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⢸⢸⡇⢷⠀⠀⠀⠀⠀⠀⠉⠛
⣿⣿⣿⣿⣿⣿⣷⣤⣤⣤⣶⣶⣾⣿⣿⣯⣽⡇⠀⠀⠀⠉⠀⠀⠀⠀⠀⢀⣀⣴⣿⣿⣿⣷⣿⣿⡇⣿⣿⡇⢸⣿⣿⣿⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⣸⢸⣻⣓⣟⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⡟⠀⡇⠀⠀⠀⠀⠀⠀⠀⠶⠿⠿⠛⠉⠁⠛⠻⠟⣿⣿⣷⣿⣿⡇⢸⣿⠿⣿⡏⡇⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⣽⢸⡇⣾⣯⣭⣅⡀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣷⣦⣶⣦⡏⣙⣿⡿⢀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⡀⣿⣿⡏⣿⣿⡇⣾⣿⣤⣿⣷⠇⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⣿⣸⣭⣿⣿⣿⡏⡇⠀⠀⠀⢰
⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣏⣼⠛⠉⠀⠀⠀⠀⠀⢀⢠⣄⣀⠆⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⡇⣿⣿⠇⣿⣿⠉⣿⣿⡀⣶⡆⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⢿⢻⡶⠶⠯⣽⡏⣷⠀⠀⠀⠈
⠿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣦⠎⣿⠀⠀⠀⠀⠀⠀⠀⢸⡸⣯⡿⢐⣠⣀⠀⠀⢀⣐⣿⡟⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⣼⣼⣧⣿⣛⣻⣦⣽⡀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⡇⣾⡇⣭⢿⣾⡇⠀⠀⠀⠙⠛⠁⠀⠀⠀⠀⠀⠀⠘⢿⣄⠀⠀⠀⠀⠀⠁⠙⣻⣿⣿⣟⠟⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⢻⡿⣿⣷⠿⡿⣿⢻⠄⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⢡⣿⠁⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢢⣤⣀⠀⠀⢀⣤⣥⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣻⣛⣛⣛⢻⠃⠀⠀⠀
⠀⠀⠀⠀⠀⢻⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡇⠀⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣋
⠀⠀⠀⠀⠀⠀⠹⣇⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠈⠛⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣧⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⠟⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⢻⣿⠃⠀⠀⠒⠈⠉⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣧⣾⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠠⠺⡟⠛⠿⠇⠐⡄⠀⠀⠀⢀⣄⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠿⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋
⣿⣶⣿⣷⣄⣀⡑⠀⢰⣿⣦⠀⢠⡀⣤⣶⣐⣸⣿⣿⣿⣿⣿⣿⣷⣶⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠠⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⡿⠋⠀⠠⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣇⠀⢸⣿⣿⣆⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠀⠀⠀⠀⠀⠀⠀⠲⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⡿⠛⠀⠀⠀
⢿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣮⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠠⠉⢀⡴⠂⠀⠀⠀⠀⠀⠀⡀⠉⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠃⠠⡟⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⡇⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣀⡄⠀⠀⠀⠀⢀⣠⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠛⠁⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠀⢣⣤⣀⠀⠀⠈⡛⠀⠀⣀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡿⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⡟⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⡯⢀⣀⡘⣿⣷⣾⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⣤⣀⠀⠀⠀⠀⠀⠀
⠁⠀⠀⠈⣹⡛⠿⠿⣿⠿⠋⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠡⠿⠏⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠋⠀⠀⠀⠀⠀⠀
⣀⣸⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⢀⣴⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⢀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⣋⣭⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⡎⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⢰⣷⣶⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⢀⡔⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣯⣥⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⣠⣿⣇⠀⠈⣿⣿⣿⣷⣤⣀⣀⠀⠀⠀⠀⠀⡇⣿⢓⡂⠤⠀⣼⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣯⣽⢟⣿⣿⣯⠀⠉⠉⠉⠁⠀⠛⡿⠿⠿⣿⠿⣻⣿⣿⣿⣿⣿⣿⣿⣿⠿⡿⢿⢿⢿⡄⠏⠀⠀⣠⣠⣶⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⡇⢿⡰⠍⠀⠀⢿⡄⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⡿⢛⣵⣿⣵⣿⠏⠀⢀⣀⣤⣤⡮⠛⠂⠀⠀⡾⠿⣿⢿⣯⣿⠿⠿⠿⠟⠁⠈⠀⠀⠀⠀⠀⠈⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⢸⢠⡖⠈⠀⠀⠀⠀⠙⠷⣦⣄
⣿⣿⣿⣿⣿⣿⣿⡟⡋⠁⠀⠘⠛⠛⢉⣠⣴⣶⡿⠛⠉⠠⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⡀⠂⣀⣀⡀⣀⣀⢀⡀⣀⣀⣐⢶⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⢸⢀⣇⠿⢤⡀⠀⠀⠀⠀⠈⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣾⣿⣿⣿⣯⢾⠁⠀⠀⠀⠀⠀⠀⣀⣤⣴⣿⠿⣿⣿⣿⡿⣿⣿⡇⣿⣿⣿⢿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⣸⣬⣭⣭⣟⣁⡀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⢿⣿⣿⣿⠏⢸⡇⠀⠀⠀⠀⠀⠈⠉⠹⠛⠁⠀⠈⠛⠁⠀⣿⣿⣷⣿⣿⡇⢸⣿⠿⣿⡟⡇⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⢸⣿⡇⣾⣶⢶⣧⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⠿⣷⣦⣷⣦⡟⣹⣿⣿⣏⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀⠐⠀⣿⣿⡏⣿⣿⡇⣾⣿⣤⣿⣷⠇⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⢸⡿⡷⢯⣽⣯⣿⢶⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⡿⣧⣾⠋⠀⠀⠀⠀⠀⠀⣀⣶⣤⣤⠁⠀⠀⠀⠀⠀⠀⣠⣿⣿⡇⣿⣿⠇⣿⣿⠉⣿⣿⡀⣶⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⢸⣿⡟⣛⣶⡶⠧⢹⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣵⡶⠃⣿⠀⠀⠀⠀⠀⠀⠀⢱⠸⢶⡟⣠⡶⣀⠀⠀⠐⠿⣿⡶⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⢿⣯⣿⣿⢾⡆⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⣟⠀⠀⠀⠀⠀⠀⠀⠘⡼⣿⡇⢖⣻⣿⡄⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⢓⣀⠀⠀⠀⢸⣻⣿⣿⣿⣿⣷⣟⡋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⣟⣛⣛⣻⣟⣿⣹⡂⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⢀⣽⣿⣟⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣤⣤⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣯⣭⣭⣿⣭⣹⠃⠀⠀⠀
⠀⠀⠀⠀⠀⢸⣿⣿⠅⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠻⣦⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣧⠀⠈⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛
⠀⠀⠀⠀⠀⠀⠹⣿⡄⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣷⠀⢻⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⡟⣩⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠈⣠⣴⣾⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣷⡘⣿⠇⠀⠀⠒⠁⠉⠉⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⣾⠿⡿⠛⠁⠀⠆⠀⠀⠀⢀⣄⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠁⠁⢀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠋
⠀⠀⠀⠀⢀⠀⣨⠁⠀⢠⣴⣄⣠⡄⠀⠴⢒⣸⣿⣿⣿⣿⣿⣿⣶⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠐⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⡿⢟⣁⡀⠀⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣇⠀⠀⣿⣿⣿⡇⠀⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠀⠀⠀⠀⠀⠀⠀⠙⠲⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣾⣿⡛⠋⠀⠀
⠉⠹⢿⣿⣿⣿⣿⣿⣿⣧⣽⣿⣿⣧⣄⣀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠂⢀⡴⠋⠀⠀⠀⠀⢀⣀⣀⠀⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣶⠀⠀
⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠈⠀⠺⠁⠀⠀⠀⠀⠀⠁⠀⠈⠁⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⠤⢴⠀⠀⠀⠀⢀⣤⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡿⠛⠿⣿⣿⣿⡦⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣶⣦⡄⠀⠀⣈⡀⠀⣤⣴⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀
⡟⠋⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠀⣀⣀⣻⣿⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣄⡀⠀⠀⠀⠀⠀⠀
⠀⠀⣀⣨⣿⣿⣿⣿⣿⡿⠿⠛⠁⠈⠈⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠉⠀⠀⠀⠀⠀⠀
⣀⣸⣿⣿⣿⣿⣟⡃⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⢀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⣋⣭⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⣾⣶⣾⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⡀⢀⠀⠀⠀⠀⠀⢀⣤⣿⡀⠀⢨⣿⣿⣿⣷⣤⣄⣀⡀⠀⠀⠀⠀⡇⣿⢙⡂⠤⠄⣼⠃⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣯⣵⢿⣿⣿⣿⡅⠀⠉⠉⠀⠀⠻⠟⠛⠻⢿⣫⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠾⠃⠈⠀⠀⠀⣀⣴⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⡇⢿⡐⠌⠀⠀⢻⣄⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⡿⠟⣹⣿⣥⣾⠟⠁⠀⣀⣤⢴⠞⠃⠀⠀⠸⠟⢛⣿⣿⣿⠿⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⢀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⢸⢠⡗⡀⠀⠀⠀⠀⠙⠷⣦⣤
⣿⣿⣿⣿⣿⣿⣿⣏⠉⠉⠀⠀⠛⠛⣉⣠⣤⣶⡿⠋⠡⠄⠀⠀⠀⠀⠀⢀⣿⣿⣿⣧⣀⠀⣀⣀⡀⣀⣀⢀⡀⣒⣓⣚⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⢸⠀⣇⡻⣦⡀⠀⠀⠀⠀⠀⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣿⣿⣿⣿⣿⣿⡾⡇⠀⠀⠀⠀⠀⠀⣤⣶⣾⡿⠟⢿⣿⡏⠋⣿⣿⡇⣿⣿⣿⢿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⢸⣯⣭⣭⣿⣡⡄⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⢿⣿⣿⣿⡟⠀⡿⠀⠀⠀⠀⠀⠀⠈⠉⠟⠀⠀⠀⠉⠀⠀⣿⣿⣷⣿⣿⡇⢸⣿⠿⣿⡏⡇⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⢸⠟⡇⣾⣳⠶⣶⠠⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⠿⣷⣦⣷⣦⡟⣹⣿⣿⣟⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡏⣿⣿⡇⣾⣿⣤⣿⣷⠇⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⢸⡼⠷⠾⣿⡧⣿⢸⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣷⡟⣿⣿⣿⣿⣿⢿⣾⡏⠀⠀⠀⠀⠀⠀⢠⢸⡦⢤⡆⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⣿⣿⡇⣿⣿⠉⣿⣿⡀⣶⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⢸⣿⡟⣛⣓⣶⡗⢻⠁⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣷⣷⣾⠋⣸⡇⠀⠀⠀⠀⠀⠀⠸⡜⣛⣻⠡⠼⢢⡄⠀⠐⠸⢽⡶⠂⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⡿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⢸⣿⣇⠿⢿⣿⣿⢾⡆⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⣧⣿⡏⢘⡛⡿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠱⣄⠀⠠⠀⣼⣽⣿⣿⣿⣿⣿⣧⣌⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣟⣻⣟⣛⣛⣿⣽⡀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⠇⠀⠀⠀⠀⠀⠀⠀⢸⣼⠇⣼⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢢⣶⣦⣾⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣽⣭⣭⣭⣹⠁⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣬⣯⣿⣽⣭⣽⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣯⣽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⢫⣿⡿⣻⢻⢻⣟⡿⡋⣿⢟⣿⠿⣿⣻⢛⣿⣟⢿⣿⡿⡻⣟⣿⢟⢿⣻⢹⡟⣻⢛⢟⡟⣿⣿⣻⢟⢻⡿⡻⡟⡻⣿⢹⣛⠟⣟⣟⢻⡻⡻⣿⡟⣻⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣾⣿⣿⣾⣾⣿⣷⣷⣿⣾⣾⣶⣷⣿⣾⣿⣾⣾⣿⣷⣿⣟⣻⣾⣿⣿⣾⣿⣿⣸⣾⣸⣿⣿⣿⣚⣼⣷⣷⣷⣷⣿⣾⣿⣾⣾⣾⣧⣷⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣛⡟⡟⣿⡟⡻⣟⢻⢹⢹⢛⣛⡟⣻⡟⣟⣟⢙⢻⣛⢿⡟⡻⡻⢟⢻⢹⣿⢫⢿⢛⡟⣻⣛⡟⡛⣟⡛⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣷⣷⣷⣷⣿⣷⣷⣿⣿⣾⣾⣷⣿⣿⣾⣿⣾⣾⣾⣾⣾⣾⣷⣷⣷⣾⣿⣾⣿⣿⣾⣷⣿⣾⣿⣷⣷⣷⣣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡉⣹⣿⢩⣿⢹⡏⣯⣹⡯⡿⢙⡏⢹⡏⢩⡯⣫⡋⣿⠍⣽⢹⡝⣿⣿⢫⡉⠉⣩⡏⢁⡯⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣟⢛⣿⣿⡟⣿⣻⣿⣿⣿⣿⣿⣿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⣻⠛⣿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⢸⢸⡇⡇⣿⢸⢺⢸⡆⡇⣿⡟⣶⠹⢯⡛⢬⢻⢺⢸⡇⡇⡧⠛⣼⢸⣼⣿⢸⢺⢸⡌⣁⢣⣧⢛⡏⢿⣼⢰⣧⡑⣿⢌⢺⢸⡇⡇⣷⣽⡇⣿⣿⠀⡟⣶⠸⣿⢸⡇⣧⢛⡇⢿⣼⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠿⡿⢿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡯⠝⡇⡇⠸⢭⣻⢫⢩⢫⣝⠟⡅⣿⡟⠭⡏⣯⢫⢹⢩⡍⡏⣯⢻⢩⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣬⣥⣧⣧⣴⣬⣽⡬⣍⣮⣭⣧⣥⣽⣯⣥⡇⣭⣾⣧⣿⣥⣧⣯⣜⡬⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡻⡟⣻⠙⣻⡛⣽⠹⠻⠛⠟⠟⣻⢻⡟⡿⣻⣟⢻⠛⣟⢹⣻⢻⢻⡟⢟⢟⡿⡋⣻⢻⠻⢟⡟⢟⠟⣻⠛⠛⣻⢙⡟⢿⠻⡻⡻⢛⡻⢛⠿⠻⡛⣟⣟⠹⡻⢹⡻⢛⠟⣟⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⢾⣷⡿⣶⣿⣶⣿⣶⣿⣾⣾⣿⣾⣾⣶⣿⣷⣷⡾⣶⣿⣾⣿⡾⣿⣷⣿⢾⣷⣷⣿⣾⣾⢾⣷⣿⣶⣿⣶⣷⣿⣶⣿⢿⣾⣷⡿⣾⣷⣼⣶⣿⣷⣿⣾⣾⣷⣾⣷⣾⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣜⣿⣪⣧⣣⣣⣸⣰⣽⣃⣟⣟⣸⣛⣿⣾⣃⣟⣀⡿⢣⣻⣜⣤⣿⣦⣻⣸⣠⣫⣸⣟⣽⣸⣣⣿⣧⣫⣣⣻⣘⣇⣜⣠⣻⣸⣇⣟⣡⣟⣧⣿⣐⣥⣻⣸⣟⣕⣅⣿⣼⣇⣎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡿⣿⠿⠿⢿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡇⣿⣷⡆⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣟⣛⣭⣽⠶⣿⣛⡿⣭⣟⣾⣯⣽⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿
⣿⣿⣿⣿⣿⣿⣿⣷⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⠿⢟⣛⣭⡽⠶⣞⣻⢭⣝⣲⣯⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⠋⠉⠉⠀⠀⢸
⣿⣿⣿⣿⣿⢿⣿⣿⡆⢿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡼⢿⣛⣭⣵⣶⣿⣯⣝⣲⣯⣽⣶⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⣿⣿⢸⣿⣿⣷⠸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡴⠶⣛⣯⡭⢖⡛⣭⣿⣿⡏⣭⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⠿⠟⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⣿⣿⣼⣿⣿⣿⡄⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣀⣠⠴⢖⣛⡭⢶⡚⢭⣑⣦⣽⣶⣾⢿⡋⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠸⣿⣿⣿⡄⠀⢀⣀⡤⢖⣛⡭⢖⡋⢍⣲⣬⣶⣿⠿⣟⣫⣭⣷⠏⢸⠳⠃⠛⠿⠟⠉⢩⣅⢀⣨⢻⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡘⣿⣿⣿⣷⢚⣩⠵⡚⢭⣲⣬⣶⡿⢟⣻⣭⣷⣿⡿⠿⠟⠛⠁⠀⠀⠀⠀⢀⣠⣴⣴⠂⠛⢛⢿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠚⠁⠀⢀⡀⠂⠀⠀⠀⠀⢸
⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⠇⢻⣿⣿⣿⣕⣦⣵⣾⢿⣻⣭⣶⢿⣿⣿⢿⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠯⠖⠀⠊⣋⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⢸
⣿⣿⣿⣿⣿⣿⡿⠟⣫⠔⡢⠹⣿⣿⣿⣟⣯⣿⣾⡿⠟⢻⣷⡀⠁⠉⠀⠑⠀⠀⠀⠀⠀⠀⠀⠀⠢⠀⠀⠀⠀⠐⠦⠶⠟⠻⢣⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⡿⠋⠝⡩⢔⠩⣢⣵⡾⠀⣿⣿⣿⣿⠛⠉⠁⠀⠀⠀⠛⠻⠿⠟⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠛⠛⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⡈⠀⠉⣢⣶⠿⣻⣵⣾⠇⢹⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣶⠀⠀⠀⠀⠀⡴⠿⠛⠀⠀⠈⠛⠃⠀⠀⠀⠀⠀⠀⠀⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣷⣴⡿⢛⣵⡿⠟⠉⠀⠀⠘⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⢸
⣿⣿⣿⣿⣾⠟⠋⠀⠀⠀⠀⠀⠸⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⣿⡀⢸
⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⢻⡧⢸
⣿⣿⣻⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⣶⡀⠀⢸⣷⡀⠘⠃⢸
⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣹⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠹⣷⡀⣄⢹⣇⡀⠘⡿⠁⠀⠀⢸
⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠸⣿⠋⠀⠀⠀⠀⠀⢸
⣿⣿⣽⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⢿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣾⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾
⣿⣿⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡿⢿⣿⣿⠿⣿⣿⡿⣿⣿⣻⢿⣿⣿⢿⣿⡿⡿⣿⣿⣿⡿⣿⡿⢿⣿⠻⣿⣿⣿⢿⣿⢿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⡿⡿⣿⡿⣿⣿⡟⣿⡿⢿⣿⢛⢿⣿⡿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣷⣿⣷⣷⣷⣿⣿⣷⣿⣿⣷⣿⣿⣿⣾⣿⣾⣶⣿⣿⣿⣷⣿⣷⣾⣷⣾⣿⣿⣿⣾⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣾⣿⣶⣿⣷⣿⣿⣷⣿⣷⣿⣿⣶⣿⣿⣷⣿⣷⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣏⣸⣯⣀⣿⢯⣩⣿⣟⣟⣽⣷⡋⣭⣿⣏⣹⣟⣿⣿⣹⣿⣸⣹⣯⣻⣨⣿⣹⣏⣹⣿⣿⣹⣏⣹⣫⣹⣸⣏⣹⣷⣳⣿⣘⣽⣿⣧⣛⣿⣏⣿⣝⣍⣿⣿⣉⣟⣿⣿⣿⣉⣿⣇⣿⣟⣍⣿⣿⣹⣿⣿⣿⣿⣿
⣿⣿⣟⠻⢿⡿⣻⡿⢟⠿⡿⣿⣟⣿⢿⣻⡏⢟⣻⣿⣿⣿⣿⢿⣻⢟⣿⢿⣟⠟⢟⣿⠿⣻⡻⣻⣿⡟⣿⠻⠿⢿⡿⣻⣿⣟⣟⡿⢿⡿⣿⡟⡿⠻⣻⢿⡿⡟⣿⣿⣿⣻⣻⢿⡟⣿⡛⣻⢿⢹⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣾⣾⣾⣾⣿⣷⣷⣷⣿⣾⣶⣿⣾⣶⣷⣷⣷⣷⣾⣾⣶⣾⣾⣷⣷⣾⢾⣷⣷⣷⣾⣶⣶⣿⣾⣷⣿⣾⣾⣾⣶⣾⢾⣷⣾⣶⣾⣶⣷⣷⣷⡾⣾⣾⣷⣷⣷⣶⣶⣷⣾⣾⣶⣿⣶⣾⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣼⣽⣿⣴⣿⣿⣾⣽⣾⣧⣽⣥⣾⣽⣷⣿⣬⣿⣷⣶⣾⣯⣬⣿⣿⣧⣾⣿⣮⣾⣿⣼⣧⣼⣧⣧⣿⣬⣿⣧⣿⣯⣴⣿⣥⣿⣿⣿⣿⣥⣾⣧⣯⣯⣯⣤⣿⣦⣾⣧⣿⣷⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⣿⡿⢿⢿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣧⣯⣧⣦⣯⣼⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣨⣍⣇⣩⣏⣍⣏⣉⣇⣇⣩⣋⣹⣋⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣻⣿⣿⣿⣿⣿⣛⣿⣿⣻⣿⣿⣿
⣯⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⠿⡿⢿⡿⡿⢿⢻⣿⢻⢿⢿⠿⡿⢿⢿⠿⡿⢿⠿⡿⡿⢿⢿⠿⡿⡿⢻⡿⡟⡿⢿⢿⢻⣿⢻⠟⣿⡟⣿⢿⠿⡿⡿⢿⢻⡿⢿⠿⡟⡟⢿⢿⣿⢿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣽⡦⣿⣵⢋⣽⣤⣧⣼⣼⣴⣼⣼⢮⣷⡵⣼⣼⣄⣵⣿⡬⢧⠃⣿⡯⡬⣧⣧⣾⣧⡧⣧⣮⣿⣮⣽⣼⣿⣼⣧⢮⣼⣴⣥⢧⣮⢼⣯⣹⣴⣧⣧⣼⣣⣿⣮⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣏⣅⣏⣎⣘⣎⣰⣿⣹⡉⡪⣿⣷⣸⣈⣇⣸⣸⣕⣏⣎⣇⣟⣸⣸⣀⣇⣳⣹⣇⣿⣵⣹⣜⣅⣳⣹⣇⣇⣨⣨⣏⣼⣧⣻⣈⣼⣰⣎⣎⣹⣯⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣯⣿⣽⣿⣿⣯⣿⣿⣹⣿⣛⣟⣻⣿⣿⣿⣟⣽⣉⣿⣿⣿⣏⣟⣿⣿⣻⣻⣝⢛⣿⣿⣟⣙⣿⣿⣿⣿⣿⣿⣟⣏⣹⣻⣿⣿⣿⣿⡻⣿⣿⣿⣛⣛⣿⣻⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢭⣻⣟⣿⣿⣯⣽⣏⣉⣉⣹⣿⣿⣿⣻⣯⣿⣏⣿⣿⣩⣿⣙⣿⣿⣯⣉⣿⣿⣿⣽⣿⣿⣫⣉⣋⣹⣏⣯⣽⣿⣿⣿⣿⣝⣝⣋⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢺⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⢰⢄⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠘⢶⡞⠁⠀⠀⠀⢘⡟⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⠒⠀⠀⠀⠀⠀⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡄⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢠⣿⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⠀⢠⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⢀⠀⠀⠀⢻⣿⡇⠀⠀⠀⠀⠀⠀⢸⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⢰⣿⡄⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣷⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⢸⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⡐⢺⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⢸⠠⣸⣿⡇⠀⠀⠀⠀⠠⢂⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣶⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⠰⠀⠙⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢌⠈⢿⡇⠀⠀⠀⠀⠀⠀⠀⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣷⣦⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⠀⢿⡇⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⣧⣤⣤⣤⣤⣴⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⣧⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⣿⣿
⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⣛⣛⣛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠶⢾⠀⠰⢉⡄⢀⢶⡖⠂⢰⡄⢀⠶⢰⡂⡗⠄⠀⡠⠰⠀⣪⠠⠠⠠⢰⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣉⣉⣉⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡏⣿⣟⡿⡟⡟⣿⣻⣿⢻⣻⣛⡿⣻⡟⡿⣻⢿⢛⣿⡝⡏⣿⡟⡏⢿⡟⣿⢹⡟⡟⣟⢻⡏⢿⡻⣻⡏⡿⣻⢿⢻⢻⢻⢻⢻⢹⢿⢻⢛⣻⣿⢹⢻⢻⢹⣿⣻⢻⢻⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣷⣿⣶⣷⣷⣷⣿⣣⣿⣾⣿⣿⣾⣾⣷⣿⣾⣾⣾⣿⣷⣾⣾⣷⣷⣷⣷⣿⠾⣶⣿⣿⣾⣷⣾⣾⣾⣷⣿⢿⣾⣾⣾⣾⣾⣾⣾⣾⣿⣾⣿⢾⣿⣾⣾⣾⣿⣾⣾⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⣦⢻⣝⣯⣻⢹⢹⢹⢹⢹⣱⢹⣽⣯⡻⡹⠏⡻⣿⣿⢸⡷⡇⣿⣎⢿⡿⣿⢽⢹⢹⣿⢝⢿⢹⢹⡹⣿⢹⢹⢹⣹⣸⡏⡏⡏⡯⣿⡇⣿⢸⢹⢹⣽⢹⢹⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣻⣿⣟⣿⣿⣟⣿⣿⣟⣿⣟⣿⣿⣿⣿⣟⣿⣿⣿⣿⡟⣛⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣻⣟⣿⣟⣿⣟⣿⣟⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣏⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣟⣿⣻⣽⣿⣿⣻⣿⣻⣿⣿⣿⣿⣿⣿⣛⣿⣟⣻⣿⣻⣟⣿⣿⣿⣿⢿⣿⣿⣿⣟⣿⣿⣿⣟⣿⣟⣿⣿⣟⢿⣻⣿⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡿⣿⡿⣿⣿⣿⢿⡿⡿⣿⡿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⢿⠟⡛⣿⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣾⣷⣿⣿⣿⣿⣾⣶⣿⣿⣿⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣼⣬⣡⣶⣄⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿
⠀⠀⠀⠀⠀⢀⣤⡀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⣠⣤⣤⠀⠀⠀⠉⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⣠⣦⠼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⢿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⠉⠛⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡀⠀⠀⠀⠠⠖⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣤⣀⠒⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⣀⣤⠶⠺⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠖⠒⢒⣩⣿⣿⣿⣟⣫⣯⣿⣯⡿⡻⣿⣿⣦⣵⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⡀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣰⣿⢿⣿⣿⣿⣿⢿⠟⣻⣷⣬⢲⣙⢿⣶⣽⣷⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⠀⢀⣤⣶⣶⣿⠿⠿⠋⠉⠁⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢠⣠⣀⠀⢠⣿⡁⠀⠀⣘⣿⣿⡿⣾⣿⣿⣿⣷⣌⢷⣝⣿⣿⣧⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⠀⠚⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠻⠻⣧⢸⣿⠡⣴⣾⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣷⡻⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠸⣿⣿⣤⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⣿⠛⢋⣿⢧⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣏⣠⢄⠀⠘⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⡄⠘⢺⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣼⠀⡁⠉⠂⠘⡿⢿⣾⣿⣿⠿⣿⣿⣿⡿⠉⠀⡚⠋⠋⢠⣿⡦⠲⠿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⠟⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠉⠳⣄⠀⠁⡈⢿⡷⡟⢒⣀⡉⣿⣟⢾⣶⣾⣿⣿⣿⣿⠇⢀⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⠿⠛⠉⠉⠉⠉⠉⠉⠀⠀⡏⠀⠐⢬⡥⣸⣿⣿⣷⣿⣿⣿⡇⣿⣿⣮⣿⣿⣿⣿⣿⣿⡅⠸⠟⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀⠁⠀⠘⠜⠟⢻⣿⣿⣿⣿⡆⣿⣿⡿⢿⣿⣻⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠈⢂⠀⢆⠀⠘⣓⣻⣿⣿⣿⣧⠌⢿⡗⠚⢛⣉⣉⣁⣠⠄⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠁⠀⣠⠊⡍⣇⢵⢡⢈⣼⣿⣋⣿⣯⠤⠤⠄⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⢀⠀⠑⠀⢵⠧⣁⠝⢿⣽⡧⠿⢷⠒⠂⠀⣼⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠐⠐⢱⡵⢵⣾⣷⣷⣶⡾⡀⠀⢠⣡⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⣹⣯⣬⣽⣥⡥⢰⡷⠶⠉⣿⣛⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣭⣽⢽⣷⣼⣿⣾⣿⣛⡀⢿⣍⣥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠲⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡏⠀⠈⠿⢻⣿⣿⣿⣿⣁⡈⢡⡀⢠⣤⣤⠀⣶⠶⠂⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡁⠀⠀⠀⣠⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⢀⣤⣤⠄⢰⡶⠶⠂⢹⣿⣿⣿⣿⣷⣼⡇⢸⡇⠶⡆⢸⡟⣃⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⠀⢀⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⣿⢹⣆⠈⡳⠶⣦⢈⣛⣻⡦⢸⡷⢿⣿⠿⢧⡻⠿⠈⠛⠛⠋⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿
⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⠏⠀⠘⢿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠰⠟⠉⠙⠂⠛⠛⠋⠈⠉⠉⠁⠉⠀⠀⠃⠀⠀⠉⢁⢄⠀⢤⠀⢠⠲⢰⢴⠀⠀⠀⠀⠀⠀⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⡄⡄⡄⢰⢰⠀⡦⡄⠀⣏⣈⠦⠘⠀⠆⠀⠀⠈⠘⠘⠈⠀⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠁⠁⠉⠁⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⢻⣿⢿⡿⣿⣿⣿⢿⣛⡿⢿⣿⣿⣿⡿⣿⣿⡿⣿⢿⣿⣻⣿⣿⣿⡿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣷⣿⣷⣿⣿⣾⣿⣷⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣷⣿⣿⣿⣷⣿⣿⣿⣷⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣯⣿⣿⣽⣿⣽⣯⣿⣿⣧⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⢿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⣶⣿⣿⣿⣷⣿⣷⣿⣷⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣷⣾⣿⣾⣿⣶⣾⣷⣾⣿⣿⣿⣿⣷⣿⣿⣷⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣷⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣯⣽⣽⣯⣼⣿⣿⣿⣿⣿⣼⣿⣯⣿⣿⣭⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣯⣿⣿⣿⣯⣽⣿⣿⣿⣯⣿⣭⣯⣿⣿⣽⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣛⣿⣟⣿⣿⣿⣿⣿⣟⣿⣛⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 3299

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/06/28/Only_About_1_in_8_Russian_Windows_Users_is_Using_Vista_11.shtml
    Gemini version at https://techrights.org/n/2024/06/28/Only_About_1_in_8_Russian_Windows_Users_is_Using_Vista_11.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Only About 1 in 8 Russian Windows Users is
Using Vista 11⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jun 28, 2024,
updated Jun 28, 2024


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


The statCounter measure of GNU/Linux is up again this morning, as right now it
is estimated/gauged at 4.02% (it goes up by about 0.01% every day lately):


           🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Desktop Windows Version Market Share⦈


Looking closely at Russia, for a change, let's examine why_Windows_"market
share"_is_falling_over_there by considering the possibility that users get_rid
of Vista 11 (or it_bricks_itself). statCounter sees the following usage %
totals for Vista 11 over time: (as_ODF)


 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Windows 11 Version Market Share Russian Federation: 2023-
                                  June 2024⦈


statCounter isn't perfect, but it looks like over the past 12 months Vista 11
hardly grew and it remains very low at around 12% of Windows usage in Russia
after nearly 3 years of official availability or 3 years and a few months since
the fake "leak" (timed to distract from truly awful news). █




⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⣠⣤⣤⣤⣄⣠⣤⣤⣤⣤⣤⣤⣤⣄⡀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣤⣤⣤⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣷⣶⣦⣤⣀⣀⣀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢠⣤⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣤⣄⡀⠀⠀
⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣊⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿
⠟⡟⠙⠉⠀⠈⠙⠿⣿⣿⣿⣿⣷⣿⣾⣿⣿⣿⣿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿
⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠟⠿⢿⣿⣿⣿⣿⣿⢻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⡿⠋⠉⢾⣟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠈⠁⢿⣿⣿⣿⣿⣿⠛⠋⠛⠛⠛⠙⠉⠛⠛⠛⠛⠛⢛⡛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣀⣈⣀⣀⣉⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠤⠤⠤⠀⠀⠀⠀⠈⠋⠉⠁⠉⠉⠀⠀⠀⠀⡀⡀⣀⣀⣀⣤⣤⣤⣬⣥⠬⠭⠯⠭⠽⢭⣭⣯⣿⣽⣯⣿⣿⣯⣬⣼⣭⣭⣭⣭⣭⣭⣭⣭⣭⣍⣉⣉⣉⣉⣀⠁⠙⠛⢛⠛⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⢴⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⢀⣀⡤⠤⠴⠒⠛⠋⠉⠉⠉⠁⠀⠀⠀⣠⣤⣤⣤⣤⣠⠤⠀⣠⣤⣤⠀⠉⠉⠩⠙⠛⠒⠲⠦⠤⣄⢀⡀⠠⠶
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⢽⣿⡏⠀⠀⠘⠙⠙⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⢀⣀⢀⣀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠁⠀⠈⠈⠅⠀⠀⠀⠁⠉⠈⠈⠀⠀⠀⠀⠀⠉⠈⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣓⡅⠀⠀⠀⠀⠀⢀⣴⣶⣶⣶⣶⣿⣿⣿⣿⣿⣮⣥⣤⣤⣤⡀⠄⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠀⠀⠀⠀⠉⢉⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠓⠄⠀⠚⠼⠛⠒⠟⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⠯⠭⠛⠾⠉⠋⠁⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣿⣿⡏⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⢿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⡇⣿⣿⣿⣿
⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⡭⠍⠉⠩⢭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⠍⠁⣠⣤⣀⣀⣀⡄⠨⣭⣭⣭⣭⣭⡅⣿⣿⣿⡇⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠙⠋⠉⣠⣴⣶⣦⣄⡈⠉⢀⣀⠈⠉⠉⠉⠙⠛⠿⠿⠿⡿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⠿⠋⢁⣠⣾⣿⣿⣿⣿⣿⣧⠀⠛⠿⣿⣿⣿⡇⣿⣿⣿⡇⣿⣿⣿⣿
⢹⣿⠿⠋⠙⠛⠛⠿⠿⠋⢁⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣤⣤⣶⣤⣴⣦⣤⣤⣤⣤⣤⣀⣉⠉⠉⢁⣠⣤⣄⣀⣤⣶⣿⢿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣈⣉⣁⡀⣿⣿⣿⡇⣿⣿⣿⣿
⠀⣀⣠⣶⣿⣶⣶⣦⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⡇⣿⣿⣿⣿
⠀⠋⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣤⣤⠤⢤⣤⣤⣤⡤⣤⠤⠤⡤⢤⣤⣤⡤⠤⢤⢤⡤⠤⠤⠤⡤⣤⣤⣤⣤⣤⠈⡇⣿⣿⣿⣿
⣶⣾⡇⠀⣿⣿⡿⠋⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠻⣿⣿⣿⣿⡿⠋⢀⠀⢻⣿⣿⡟⠉⢿⣿⣿⡇⣯⣽⣤⣬⣵⣿⣾⣦⣯⣤⣥⣧⣤⣷⣟⣧⣤⣧⣤⣯⣴⣽⣬⣦⣿⣿⣿⣿⣿⠀⡇⣿⣿⣿⣿
⣿⣿⣿⠀⠘⠋⢀⣴⣧⡀⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⡏⠀⠀⠿⠿⠛⠁⣠⣴⣿⡆⠈⠛⠉⣀⣄⠈⠻⠋⢀⣀⣀⣠⣤⣄⠀⠀⠀⠀⠤⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⡇⣿⣿⣿⣿
⠉⠉⠉⠁⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠈⠀⠀⠀⠀⠉⣀⡀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⡀⢀⣀⣀⣀⡀⣿⣿⣿⡇⣿⣿⣿⣿
⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣿⣿⣿⡇⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿
⠈⢴⢁⡒⣿⣿⣿⣛⣛⣻⡏⡦⠉⢨⠙⣝⢩⡇⢫⠈⡝⢩⠙⣝⠉⡎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿
⣾⣶⣷⣾⣿⣿⣿⣿⣿⣿⣿⣶⣷⣾⣾⣶⣾⣷⣶⣶⣾⣶⣾⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿
⣿⣿⣿⣿⠿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⠀⠀⠀⣴⣶⡆⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡆⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⣿⣿⡇⠀⠀⢠⣤⣤⠀⠀⠀⣀⣀⠀⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⠀⢀⣀⣿⣿⡇⢀⡀⣿⣿⡇⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠀⠀⣤⣤⠀⠀⠀⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠀⠀⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⠀⠀⢠⣿⣿⡇⠀⠀⣿⣿⣇⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠀⠀⣿⣿⡆⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⣿⣿⣇⠀⠀⢸⣿⣿⠀⢀⣸⣿⣿⡇⠀⠀⣿⣿⣿⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⣿⣿⣧⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣟⣿⠀⠀⣿⣿⡇⠀⠀⣿⣿⡇⠀⠀⢰⣶⣶⠀⠀⢈⣿⣿⡇⠈⠉⣿⣿⣿⠀⠉⢹⣿⣿⠀⣿⣿⣿⣿⣧⣸⣯⣿⣿⣿⡀⠉⢹⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⣿⣿⣿⠀⠀⢸⣿⣿⡀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠀⠀⣿⣿⡇⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⠀⠀⢸⣿⣿⣿⡆⠀⣿⣿⣿⡆⠀⣾⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⢸⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⣿⣿⣿⠀⠀⢸⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠀⢀⣿⣿⡇⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⠀⠀⢸⣿⣿⣿⡇⠀⣿⣿⣿⣷⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣄⠀⠀⣿⣿⣧⡀⠀⣿⣿⣿⡇⠀⢸⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠀⢸⣿⣿⣧⡀⠀⣿⣿⣿⡄⠀⢸⣿⣿⠀⠀⢸⣿⣿⣿⡗⠒⣿⣿⣿⡟⠒⢺⣿⣿⣿⠿⢿⣿⣿⣿⡟⠓⣿⣿⣿⡟⠒⢺⣿⣿⣿⠀⠐⣿⣿⣿⡇⠀⣿⣿⣿⡗⠀⢸⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠀⢸⣿⣿⣿⡇⠀⣿⣿⣿⡇⠀⢸⣿⣿⠀⠀⢸⣿⣿⣿⡇⠀⣿⣿⣿⡇⠀⢸⣿⣿⣿⠀⢸⣿⣿⣿⠇⠀⣿⣿⣿⡇⠀⢸⣿⣿⣿⠀⠀⣿⣿⣿⡇⠀⣿⣿⣿⡇⠀⢸⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠀⢸⣿⣿⣿⡇⠀⣿⣿⣿⡇⠀⢸⣿⣿⣦⠀⠈⣿⣿⡟⠀⠀⣿⣿⣿⠁⠀⢸⣿⣿⠃⠀⠸⣿⣿⡏⠀⠀⣿⣿⣿⠁⠀⢸⣿⣿⣿⠀⠀⣿⣿⣿⡇⠀⣿⣿⣿⡇⠀⢸⣿⣿⠃⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠀⢸⣿⣿⣿⠇⠀⣿⣿⣿⠇⠀⢸⣿⣿⣿⠀⠠⣿⣿⡇⠀⠀⣿⣿⣿⠀⠀⢸⣿⣿⠀⠠⠤⣿⣿⡇⠠⠀⣿⣿⣿⠀⠀⢸⣿⣿⠃⠀⠀⣿⣿⡟⠀⠀⣿⣿⣿⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣷⣿⠀⠘⣿⣿⡇⠀⠀⣿⣿⡟⠀⠀⢸⣿⣿⡿⠀⠀⣿⣿⡇⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⣿⣿⡟⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⣿⣿⣿⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠀⠀⣿⣿⡇⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⠁⠀⠀⣿⣿⡇⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⣿⣿⡿⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠀⠀⣿⣿⡇⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠀⠀⣿⣿⡇⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠀⠀⣿⣿⠇⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠀⠀⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⠃⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⢿⣿⡇⠀⠀⢸⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣀⣀⣛⣛⣀⣀⣀⣛⣛⣃⣀⣀⣘⣛⣛⣀⣀⣀⣛⣛⣀⣀⣀⣛⣛⣃⣀⣀⣘⣛⣛⣀⣀⣀⣛⣛⣁⣀⣀⣛⣛⣃⣀⣀⣘⣛⣛⣀⣀⣀⣛⣛⣃⣀⣀⣙⣛⣃⣀⣀⣘⣛⣛⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣯⣿⣽⣿⣿⣿⣿⣽⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 3412

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


posted by Roy Schestowitz on Jun 28, 2024,
updated Jun 28, 2024


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Amalfi_Coast⦈_


⚓  Updated This Past Day⠀⇛


   1. ⚓ PipeWire_1.2_Released_with_Asynchronous_Processing_and_Explicit_Sync
      Metadata⠀⇛


           PipeWire 1.2 open-source server for handling audio, video
           streams, and hardware on Linux is now available for download
           with many new features and improvements.


      ⚓  New⠀⇛


   2. ⚓ Shotcut_24.06_Video_Editor_Adds_AVIF_Image_Support_and_SVT-AV1
      Encoder⠀⇛


           The open-source, cross-platform, and free video editor Shotcut
           has been updated today to version 24.06, a release that
           introduces new features, new filters, and other changes.


   3. ⚓ Security_Leftovers⠀⇛


           Security links and news


   4. ⚓ Open_Hardware:_Raspberry_Pi,_RISC-V,_and_More⠀⇛


           hardware news


   5. ⚓ Programming_Leftovers⠀⇛


           Coding links


   6. ⚓ today's_leftovers⠀⇛


           Debian, IBM, and more


   7. ⚓ Software:_FOSS_Weekly,_Hash-o-Matic,_and_LibreOffice⠀⇛


           3 stories for now


   8. ⚓ today's_howtos⠀⇛


           4 howtos


   9. ⚓ FSF:_Mapping_the_process_of_the_new_board_nomination_and_review
      process⠀⇛


           The Free Software Foundation (FSF) board of directors has drawn
           up a detailed diagram showing the procedure that the FSF is
           using to solicit advice from the community about possible new
           board members


  10. ⚓ Stable_kernels:_Linux_6.9.7,_Linux_6.6.36,_and_Linux_6.1.96⠀⇛


           All users of the 6.9 kernel series must upgrade


  11. ⚓ Free_as_in_Freedom,_not_as_in_beer...⠀⇛


           So... recently I was working for a bit (sweat equity or so I
           thought) for a company by the name of ImmortalData


  12. ⚓ Canonical_Debuts_LTS_Distroless_Docker_Images⠀⇛


           Canonical announced it is providing distroless Docker images,
           complete with 12 years of support, in line with what it offers
           for Ubuntu Pro....


  13. ⚓ NVIDIA_555.58_Linux_Graphics_Driver_Released_with_Explicit_Sync_on
      Wayland⠀⇛


           NVIDIA 555.58 Linux graphics driver is now available for
           download with explicit GPU sync support for NVIDIA GPU users on
           Wayland, as well as many other improvements.


  14. ⚓ Ente_Photos_0.9_Unveils_Offline_Video_Editor⠀⇛


           Ente Photos 0.9 introduces a new video editor


  15. ⚓ Ubuntu_Sway_Remix_24.04_Released,_Here’s_What’s_New⠀⇛


           The unofficial Ubuntu's flavor, Ubuntu Sway Remix, released
           v24.04


  16. ⚓ Decoding_Meshtastic_With_GNU_Radio⠀⇛


           Meshtastic is a way to build mesh networks using LoRa that is
           independent of cell towers, hot spots or traditional repeaters


  17. ⚓ openSUSE.Asia_Summit_2025_and_openSUSE_for_lazy_developers⠀⇛


           Some openSUSE news


  18. ⚓ Red_Hat_Leftovers⠀⇛


           mostly from the official site of Red Hat


  19. ⚓ Hardware:_STM32,_Minisforum,_and_Raspberry_Pi⠀⇛


           Some hardware news with GNU/Linux focus


  20. ⚓ Free_Software_Leftovers⠀⇛


           FOSS links for today


  21. ⚓ Programming_Leftovers⠀⇛


           coding related picks


  22. ⚓ Kernel_Picks:_Collabora_and_LWN⠀⇛


           the LWN paywall is expired today


  23. ⚓ Software:_khard,_Alternatives_to_Adobe_Digital_Edition,_and_Inochi
      Creator⠀⇛


           3 picks for today


  24. ⚓ today's_howtos⠀⇛


           many howtos for today


  25. ⚓ Security_Leftovers⠀⇛


           Security picks


  26. ⚓ How_Linux_is_Revolutionizing_Education_with_Open_Source_Learning⠀⇛


           Advantages of Using GNU/Linux in Education


  27. ⚓ Windows_TCO:_Russia,_DHS,_and_More⠀⇛


           8 new tales of Microsoft reliance


  28. ⚓ Games:_Steam,_GOG,_Arari,_and_More⠀⇛


           9 latest artticles


  29. ⚓ Today_in_Techrights⠀⇛


           Some of the latest articles


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


      0


                         Span from 2024-06-21 to 2024-06-27
      973 /n/2024/06/24/Linux_and_BSD_news_Larry_Finger_has_died.shtml


      962 /n/2024/06/22/
          Two_Months_After_SLAPP_Strategic_Lawsuit_Against_Public_Partici.shtml


      920 /n/2024/06/21/Mozilla_and_Tor_Browse.shtml


      841 /n/2024/06/23/
          The_Linux_Mint_22_Beta_is_almost_here_as_ISO_testing_gets_under.shtml


      836 /n/2024/06/21/Ladybird_browser_spreads_its_wings.shtml


      821 /n/2024/06/23/GNU_Linux_Leftovers.shtml


      799 /n/2024/06/22/
          A_breath_of_SSD_air_for_a_10_year_old_Linux_laptop.shtml


      799 /n/2024/06/20/Best_Free_and_Open_Source_Software.shtml


      797 /n/2024/06/21/
          Darktable_4_8_Open_Source_RAW_Image_Editor_Released_Here_s_What.shtml


      797 /n/2024/06/23/today_s_howtos.shtml


      779 /n/2024/06/22/today_s_howtoss.shtml


      776 /index.shtml


      761 /n/2024/06/23/Programming_Leftovers.1.shtml


      757 /n/2024/06/23/today_s_howtos.1.shtml


      733 /n/2024/06/24/Linux_6_10_rc5.shtml


      729 /n/2024/06/25/
          Pocket_Z_project_aims_to_build_99_Linux_PCs_that_fit_in_your_po.shtml


      716 /n/2024/06/22/Programming_Leftovers.shtml




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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣽⣿⣿⣿⢝⣛⣟⣻⠿⠿⣿⣿⣻⣿⣟⣛⣿⢽⣿⣻⣿⣿⣿⣿⣿⡏⢩⣭⡏⣻⡟⠉⢻⡟⠻⠿⢿⣿⡿⠿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣟⡟⠛⢛⡛⣯⠛⠛⠛⠿⠿⠛⡿⢿⡿⠿⠿⣷⣾⣿⣾⢿⣿⣶⣶⡶⢿⣿⣟⣏⣋⠉⠋⠁⠈⠀⣀⣀⣀⠀⣀⣀⣩⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⠀⠀⡀⠀⠀⠠⣬⣭⡻⣾⣁⠶⢸⣷⣿⢣⣾⢛⡿⠛⠥⠽⢗⢜⢛⣭⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠙⠃⠀⠀⠀⠐⠀⠀⡀⣀⢸⣿⢛⢃⣎⢎⣈⠳⡣⡂⣿⡿⢦⠩⠠⠀⢉⡙⣱⣯⣦⣀⣐⠂⣤⣶⢮⣽⡀⡺⣇
⣮⣵⣄⣐⠖⢬⡉⡻⣿⣟⣯⣖⠈⢸⣿⠯⠓⠚⣀⡀⠀⣠⣌⣈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣴⣦⣀⡐⠀⠀⠠⣧⣿⣎⣹⠻⢾⣿⣦⠜⠈⠰⠼⡷⠄⢠⠆⢀⢴⠿⢛⡏⢋⢯⡿⠟⠛⡟⠻⣿⢵⠨⣡⡟
⢿⠢⣽⡣⢲⣼⠻⣇⣹⣷⡄⣁⡁⠈⠁⠀⠀⠨⠫⠸⠞⠾⠿⢿⡐⠛⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣧⡀⠀⠀⣋⣿⣿⣿⣿⣿⣿⣿⣿⠄⢓⣿⣶⣠⠀⠀⢠⠰⠉⠶⠨⣤⣬⠓⡄⢈⠀⠀⠀⠀⢀⢂⠀
⠘⠺⣿⣿⣎⠁⠐⠿⢗⠙⡇⠛⠀⠀⠀⠀⠀⠀⠀⠐⢂⠀⣤⣤⢩⣶⡴⠘⣛⣯⣆⢰⣿⠯⢯⣽⠽⡻⣿⣽⡿⠋⠁⢀⢀⡻⢿⡟⣼⠏⠿⠛⠻⠿⠠⡺⠟⣫⣿⠀⠀⠀⣰⣶⣮⣻⢿⣞⣿⣧⠜⡄⠂⣀⣤⡀⠀⠠
⠀⠈⠼⠿⣷⠄⠀⠀⡴⠀⠀⠀⠀⠀⠀⠀⢹⠂⠀⠀⠀⠈⠉⠃⠀⠉⠁⠰⡕⠛⠛⠾⠋⠉⠁⠁⣬⣧⣿⣿⣠⣆⠉⠀⢲⣷⠾⠻⠞⠀⡀⡀⠠⣠⡀⣰⠚⡟⡧⠀⠀⠠⢻⣿⣿⣿⣿⣫⢪⣿⢤⣄⢀⠈⠁⠁⠀⠈
⠀⠄⠀⢁⠩⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⢤⢠⣾⡧⣈⠄⠀⢤⠠⠀⠘⡯⠭⢞⣏⠷⢂⠑⠄⠈⠀⠀⢀⢠⠁⠀⠁⠀⠀⠈⠀⠀⠀⠀⠡⠀⢂⠈⠻⡙⠛⠙⠻⡛⠯⣌⡊⠛⠀⠀⠀⠀⢀
⠠⠀⠐⠠⡗⠌⠻⡛⣧⡈⠁⠀⠀⠀⠀⠀⠈⢀⡀⠀⠀⠀⠀⠂⠀⠀⠑⠀⠀⠀⠀⠀⠀⡌⠀⠀⠓⠀⢰⢇⠁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⢘⠂⠀⢈⠉⡑⡐⠂⠀⠀⠰

                    ䷩ 𝚕𝚒𝚗𝚎 3723

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/06/28/RIP_Daniel_Bristot_de_Oliveira_Red_Hat_death.shtml
    Gemini version at https://techrights.org/n/2024/06/28/RIP_Daniel_Bristot_de_Oliveira_Red_Hat_death.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ RIP Daniel Bristot de Oliveira, Red Hat
death⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jun 28, 2024


Reprinted with permission from Daniel_Pocock.


News has emerged about the tragic, untimely and sudden death of Daniel Bristot
de Oliveira, a Brazilian-Italian employee of IBM_Red_Hat.


Our first thoughts at this time should be with his family, friends and
colleagues.


Daniel Bristot de Oliveira is somebody who really gave a lot of his life to
Linux and open source, through his education, through his employment and
through the community commitments in his free time.


It is a chilling coincidence that he died like this exactly one year after Red
Hat_decided_to_divide_the_community_further_by_restricting_access_to_RHEL
source_code.


Looking through Bristot's works, I found a list of all the_talks_and_lectures
he_gave_in_his_lifetime.


One stood out to me, a talk he gave at Computer_on_the_beach 2015 in
Florianópolis, Brazil. It is all in Portuguese but the meaning is clear. Here
are_the_slides. In this particular slide, Bristot is telling people about
companies who block what you can do with the source code.


     E quais são os nossos recursos?(ok, falando em software)


     Conhecimento...


     Que se fechado... Te bloqueia!


     Que se aberto...


     Transforma o seu conhecimento em seu próprio bloqueio


     Mas é bem ai que gostamos de estar!


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Daniel Bristot de Oliveira, Red Hat, Computer on the beach,
                            Florianópolis, Brazil⦈


 


Those are the words chosen by Bristot himself, emphasized with the exclaimation
mark at the end too.


I couldn't help noticing the similarities to the unexplained_death_of_Adrian
von_Bidder_in_2011.


von Bidder and Bristot both spent a lot of time on community activities. von
Bidder was a founder of debian.ch and had a role in the committee. Obituaries
for Bristot comment on his role in organizing conferences.


von Bidder and Bristot both wrote blog posts about a wide range of issues, both
technical and ethical. Blog_of_Adrian_von_Bidder_(cached) and blog_of_Daniel
Bristot_de_Oliveira.


von Bidder and Bristot were both recently married and both were yet to have
children.


von Bidder was 34 when he died, Bristot was 37, they are both well below the
mean age for heart attack victims.


von Bidder's community (Debian) and Bristot's community (IBM Red Hat) had both
experienced dramatic changes before the death. In the case of von Bidder, he
died very soon after the rise of Ubuntu and the Debian_Day_Volunteer_Suicide.
In the case of Bristot, he has died soon after the IBM Red Hat merger.


The reports that appeared in each case told us it was a probable heart attack.


When tragedy strikes like this, there is a tendency for each new obituary to
deviate slightly from the last. It is important to work out which one was
published first and look closely at the words that were chosen.


On 24 June 2024, a_post_appeared_on_Facebook_from_Alex_Bristot, the brother of
Daniel, in Brazil:


     Meu irmão Daniel Bristot de Oliveira 37 anos, @bristot.me nos deixou
     no dia de hoje e partiu para junto ao nosso pai. Foi vítima de um
     infarto fulminante. Estava morando na Itália e estamos em tratativas
     para trazê-lo ao Brasil. Pedimos oração para sua alma. Cumpriu a sua
     missão neste plano e partiu para outro


Translated from Portuguese to English:


     My brother Daniel Bristot de Oliveira 37 years old, @bristot.me left
     us today and went to our father. He was the victim of a massive heart
     attack. He was living in Italy and we are in negotiations to bring
     him to Brazil. We ask for prayer for his soul. He fulfilled his
     mission on this plane and left for another.


As far as I can tell, the_LinkedIn_post_from_Daniel_Casini may be the first
public news in the professional community.


     Daniel Bristot de Oliveira suddenly passed away at the age of 37,
     probably due to a heart attack.


There is also a_public_announcement_on_the_ReTIS_web_site. They chose not to
speculate about the reason for the death.


     Dr. Daniel Bristot De Oliveira, a professional affiliate at the RETIS
     lab of Scuola Superiore Sant’Anna and Senior Principal Software
     Engineer at Red_Hat, passed away all too soon at age 37.


In the case of Adrian von Bidder, the email that came out on debian-private
told us:


     I have the sad task to communicate to you the news of the death of
     Adrian von Bidder (avbidder, cmot), who passed away last Sunday, most
     probably of a heart attack.


After seeing these two reports about heart attacks, both involving a sudden
heart attack, I went looking for more details about the phenomena. There was a
study_on_young_athletes_in_Italy and they found there are approximately 2 out
of 100,000 people who suffer a heart attack at an early age in the group they
studied. Nonetheless, their sample was based on slightly younger participants,
mean age 23 years.


There are a lot of studies suggesting that stress, which is sometimes self-
imposed, heavy workloads and conflict can all contribute to above-average risk
of heart attack.


Posts_relating_to_IBM_Red_Hat. █




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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 3928

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/06/28/Staff_Union_of_the_EPO_SUEPO_is_Taking_the_New_Pension_Scheme_N.shtml
    Gemini version at https://techrights.org/n/2024/06/28/Staff_Union_of_the_EPO_SUEPO_is_Taking_the_New_Pension_Scheme_N.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Staff Union of the EPO (SUEPO) is Taking
the New Pension Scheme (NPS) to an International Tribunal
(ILOAT)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jun 28, 2024,
updated Jun 28, 2024


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Slides_NPS_SSP_2018_contributions_⦈_


SUEPO wants more EPO staff to participate in collective action


YESTERDAY SUEPO published presentation_slides used this past Monday. SUEPO
wants more EPO staff to participate in collective action, so it wrote:


     Dear members, dear colleagues,


     Please find here the slides presented during the workshop of Monday
     June 24th 2024 on the NPS SSP 2018 contribution rates, the legal case
     and the possibility for SUEPO members to intervene at the ILOAT.


     The intervention in a nutshell:


     Who can intervene?


     •Only the members of the New Pension Scheme (NPS) recruited before 1
     Jan 2018.


     What should I do to intervene?


     •Send the necessary documentation to the Tribunal (i.e. intervention
     form, intervention brief and annexes); Deadline: 26 July 2024


     [...]


     PS: SUEPO legal cases are prepared by lawyers specialized in
     international labour law, and the associated costs are covered by the
     yearly contributions of union members. A warm thank you to our
     faithful members!


This means that four weeks remain to join in. See the presentation_slides, with
the first one shown below. Regarding the New Pension Scheme see [1, 2, 3]. █


  🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇New Pension Scheme (NPS) and Salary Savings Plan (SSP)⦈




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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⡻⠿⠿⣿⣿⠿⠿⠟⠋⠁⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣤⣤⣤⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⢹⠛⠛⠟⣟⣿⠩⢹⠛⡟⡛⡟⢻⠹⣛⠟⡛⣿⡋⠽⢛⣻⢙⠟⠛⣟⢛⢻⠛⢿⡏⡏⠻⡏⠭⣋⠍⡏⣿⡟⢻⢛⠻⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣾⣶⣶⣾⣾⣿⣾⣿⣶⣷⣷⣶⣾⣶⣶⣷⣷⣿⣶⣶⣶⣾⣾⣶⣶⣿⣾⣾⣶⣾⣇⣳⣷⣷⣿⣷⣶⣇⣿⣶⣶⣾⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⢛⠿⢿⠹⠿⡿⠿⡿⣿⠛⢻⠿⡿⡿⣿⠿⢿⠿⠿⡿⣿⣟⡛⢹⠿⠿⠿⣿⡏⡟⢛⡟⢛⣟⡛⡝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣥⣤⣼⣤⣤⣧⣗⣸⣿⣬⣼⣤⣴⣴⣿⣼⣼⣈⣨⣤⣿⣷⣾⣼⣤⣤⣧⣿⣏⣯⣥⣯⣥⣷⣾⣣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⡟⡿⢿⣿⡿⡿⡿⢿⢿⣿⢿⡿⢿⣿⢿⡿⣿⠿⡿⢿⣿⢿⠿⣿⣿⢿⣿⢿⠿⣿⣿⡿⣿⢿⡿⢿⢻⡿⢿⢿⠿⡿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣇⣟⣻⣾⣸⣾⣏⣛⣸⣇⣣⣿⣾⣗⣁⣌⣸⣉⣏⣸⣗⣣⣸⣸⣇⣃⣿⣾⣚⣿⣿⣈⣠⠃⣇⣛⣸⣗⣩⣘⣙⣃⣟⣻⣊⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀
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                    ䷩ 𝚕𝚒𝚗𝚎 4059

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/06/28/State_of_the_News_and_Depletion_of_Journalism_Online_Not_Just_O.shtml
    Gemini version at https://techrights.org/n/2024/06/28/State_of_the_News_and_Depletion_of_Journalism_Online_Not_Just_O.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ State of the News (and Depletion of
Journalism Online, Not Just Offline)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jun 28, 2024


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


Newspapers are not coming back and the Web is not coming back either


Journalism's demise is a factual, measurable thing. Had the act of reporting
been taken off the Web and offered in paper/magazine form instead (the old-
fashioned way), that would be OK. Journalism, however, is perishing everywhere,
universally.


Online, or on the Web in particular, there are more fake articles showing up
that are just plagiarism or rehash of what other people wrote. We'll give
examples of this in the future; Bruce Perens has just presented one such
example. They call this "hey hi" (AI), but it's just a mindless chatbot that
lacks any comprehension.


In the absence of information there is absence of knowledge, and when the
general public loses sight of what's truly going on, we all stand to lose as a
society.


We continue to refine software tools that help us curate and find noteworthy
press reports (what's left of these anyway). In the meantime we can take
advantage of the media "calm", which unfortunately seems permanent, to publish
more original material of our own.


              🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Little Girl Looking In Mailbox⦈


One might argue that the trajectory of the Web is a reflection of the state of
the world in general (conflicts) and is connected to the financial demise
which, again due to absence of journalism, is undeniable but at the same time
is being glossed over. A lot of the media, nowadays scooped_up_by_oligarchs
like_Bill_Gates and Jeff Bezos, persists in victim-blaming and hailing of the
plunder by robber barons. Social control media isn't an alternative to that
when it is controlled by Zuckerberg, Musk, and the Communist Party of China
(TikTok), which plunders the world's second-largest economy. █




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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠉⠀⠀⠀⠀⠀⠀⠈⢱⣾⣿⣧
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣿⣟⡛⠛⡟⢻⣿⣿⣥⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣧
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡾⠴⠤⠬⣿⣿⣿⣿⣿⣧⣱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠋⠫
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⣭⡯⣍⣉⣉⣹⣏⣉⣉⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣓⣒⢒⡚⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⡶⠶⠭⣽⠭⠭⠽⣭⣍⣭⣽⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣭⣽⣿⣌⣉⣉⣉⣉⣙⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⡾⡿⣥⠩⠾⢿⣿⣿⣽⣻⡫⠁⣀⣹⡿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⣿⣟
⢻⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣟⣿⠎⡥⡀⠉⠭⡻⡞⣣⡺⡻⣳⡒⣒⣥⣬⣤⣤⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠽⡭⣯⠿⠉⠟
⠒⠾⠛⠻⡟⠛⢟⣿⣿⣧⢿⡿⡟⡸⠻⠒⠠⡴⣤⣥⣈⠫⠉⣺⣗⣟⠚⠙⠙⠈⠉⠻⣯⣥⣥⡙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠹⣿⣿⢯⣏⢍⢽⡛⣻⣿⣿⣿⣿⠿⠿⠟⣿⣷⠘⠃⠀⠀⠁⠀⢀
⠀⠀⠀⠀⠀⠀⠈⢅⠊⠱⠉⠈⠀⠈⢖⠒⢠⣠⣀⠿⠇⠒⠂⠐⠀⠠⠡⠋⠠⠄⠀⠀⠀⠩⠟⡋⠛⠛⠛⣟⣛⣛⠻⠛⠛⠛⠛⠛⠀⠈⠉⠃⠉⠀⠀⠀⠀⠈⠀⠈⠀⠀⠀⠀⠈⠁⠀⠀⠀⠈⠸⠀⠀⢀⠀⠀⠊⠁
⠀⠀⠀⠀⠀⠈⠛⠀⠤⠄⡄⠊⠁⠀⠀⠉⠑⠀⠁⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡘⢋⡁⠉⠈⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⢄⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⠠⢚⡋⡀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⡇⠀⠃⠀⠀⠀
⠒⠒⠲⠤⠤⠼⠿⠥⠤⢀⣁⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⢀⣀⠀⡀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠁⠀
⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣀⣌⣉⠉⠉⠉⢉⡿⠿⠿⠿⠿⠿⠿⠿⡿⠿⡿⠿⣿⣿⣿⣿⣿⣿⠃⢈⢿⣛⣛⣳⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂
⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣾⣭⣭⣭⣤⣁⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠈⠁⠀⠰⣿⣿⠿⠉⠀⠁⠱⡄⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠄⠄⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⢢⣿⣿⡆⠀⠀⠀⠀⣧⣀⣀⣰⡀⠉⢰⠐⠚⡏⠁⢠⠤⢤⠤⠄⠀⠀⠀⠀⢠⠀⠀⠈⠀⠁⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡗⠸⠿⣿⠁⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⣶⣶⣷⣦⣤⣦⣤⣬⣄⣀⠀⠀⠀⠀⢀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣥⣤⣤⣀⣀⣀⣀⣀⣰⣄⣀⣀⡒⠀⠀⠀⣶⣶⣶⣶⣶⣶⠀⠀⣪⡀⣶⣿⡄⠈⠀⠀⠀⢻⣿⣿⣿⣿⣿⡿⣿⣿⢻⣿⣿⣿⣏⣿⣟⣿⣿⣿⣿⣿⣿⣿⣽⡿⣦⣄⣴⢣⣼⣇
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⠀⠀⠀⣿⣿⣿⣿⣿⣿⡆⠀⢋⣄⣟⣗⣤⣶⣆⠈⠀⠀⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⠛⠿⢿
⢝⣿⣿⣿⣿⣯⣿⣿⣿⣿⣾⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⢻⣿⣿⣿⣿⣿⣿⢲⣿⣿⣿⣿⣿⣿⣿⡇⠀⠰⡈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷
⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣶⣭⣿⣛⣛⣛⣥⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢀⣴⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣾⣿⣿⠟⠻⢹⣿⣿⣿⣿⣿⣿⣿⣏⠀⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣀⠀⡋⣩⢙⣿⣿⣿⣿⢟⠇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣔⡈⣱⣾⣿⣿⡿⢋⡞⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣀⡟⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣇⢴⡿⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣧⠀⠠⠀⢹⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 4171

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/06/28/Stella_Assange_and_the_Legal_Team_Speak_to_the_Media_a_Day_Afte.shtml
    Gemini version at https://techrights.org/n/2024/06/28/Stella_Assange_and_the_Legal_Team_Speak_to_the_Media_a_Day_Afte.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Stella Assange and the Legal Team Speak to
the Media a Day After WikiLeaks Founder Julian Assange Arrives in
Australia⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jun 28, 2024,
updated Jun 28, 2024


Published yesterday by a number of mainstream publishers, including AFP:


Julian_Assange_a_l'intention_"de_profiter_de_sa_liberté"_déclare_sa_femme_|_AFP








                    ䷩ 𝚕𝚒𝚗𝚎 4199

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/06/28/Video_It_Is_Incredible_That_Julian_Assange_Survives.shtml
    Gemini version at https://techrights.org/n/2024/06/28/Video_It_Is_Incredible_That_Julian_Assange_Survives.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ [Video] "It Is Incredible That Julian
Assange Survives"⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jun 28, 2024


As WebM: Dr_Jill_Stein_on_Julian_Assange


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


BACK in 2016 or thereabouts Dr Jill Stein was the only front-running US
politician who valued the principles of free press in relation to Wikileaks.
She didn't endorse Trump or "Hillary" or Russia, she just wanted the US public
to know what was happening.


There was a positive and mutual relationship between Wikileaks and Dr Jill
Stein. Sadly, using TikTok (i.e. CCP/CPC), she published_her_thoughts on the
liberation of Julian Assange earlier this week. Well, our copy of it won't be
controlled by CCP/CPC. █




⣄⠀⠈⠁⠀⠀⠁⠲⠀⠀⠀⠘⢧⣄⠈⣄⠀⠺⣏⡻⠂⢉⣧⣸⣿⣿⣶⣤⣿⣆⣿⣿⡏⠹⣷⣶⣾⣿⣿⣿⣉⢻⣷⣦⠈⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠿⣿⣿⣿⣿⣿⣿⣿⢀⣿⣿⣿⠃⠀⣀⠀⢙⠟⠋⠁⠀
⠉⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣚⣹⠤⣐⡚⠃⢀⡈⠙⢻⣾⣿⣿⣾⣯⣿⣿⣿⣿⣿⣛⣱⣶⣶⣟⡛⠻⠷⣿⣷⣾⣟⠙⢿⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⣷⣭⣝⣿⣿⢸⣿⡯⠝⡒⢠⣵⠆⠁⠀⠀⠀⢀
⠀⠀⠀⠀⣲⣶⡀⠆⠈⢉⣿⣟⣿⣦⣬⡅⠈⡀⠀⠉⡒⠿⠿⣿⣿⣿⣿⣿⣿⣿⣍⣤⠉⠋⠁⠀⡀⠀⠀⢽⠻⢿⣿⣻⣾⡿⣁⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠠⣿⢿⣿⠏⣾⡿⠁⠀⢰⣿⣯⣥⠸⠇⠀⢀⡙
⠖⡢⣄⠀⠀⠉⢚⠒⠂⢈⣯⠉⠻⣿⣷⣞⠀⣁⡀⠀⠘⠀⡘⢿⡿⠟⠛⢏⠻⢻⠿⠁⠠⡄⠀⠂⠁⠀⠒⣄⡩⠁⠉⠛⠛⠛⢻⠟⡗⠀⠀⠀⠠⠆⢇⠀⡀⠀⠀⣀⠠⡍⠈⠉⠀⠉⢀⠀⠀⠀⢼⠿⡿⠇⢀⠄⠀⠀
⠀⠀⠀⢠⣴⡦⣤⣴⣿⡷⢤⣄⣀⣼⣿⣿⣿⣯⣇⡀⠀⠀⠻⠝⠀⢋⣿⠈⠁⠋⠈⠀⠐⠞⢣⣤⡄⣀⠀⣇⣁⠈⢀⠀⢠⣌⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢻⡖⢦⠀⠄⠀⠀⠀⠠
⡀⡀⣨⡟⠑⠖⠠⠍⠁⠄⡀⠈⠳⢿⣶⣘⡁⠉⢫⣿⠀⠀⠰⠆⠀⠺⠿⣄⢀⠀⠀⠀⠀⠀⠀⠀⠁⣿⣷⣈⣻⣷⣌⣀⣴⣿⣿⣿⢧⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢤⡀⠀⠀⠀⠀⢁⡀⠀⠀⠈⠁⠀⠀⠁⠀⢐⣢⣄
⠛⠚⠛⠂⠀⠀⠀⠀⡀⠀⢠⣶⠦⠆⠈⠻⠏⢳⡼⢏⠀⠀⠀⠁⠸⣆⠀⠛⠓⠺⠷⠦⠄⠀⠉⠉⠀⠄⡈⢁⠜⢟⣻⡟⣯⣝⣯⣿⣿⣷⣶⡂⣤⡄⠐⠂⠀⠀⠀⠀⠀⠀⠀⢀⣶⣮⠛⠀⠀⠀⠀⠀⣆⠀⠀⠀⠉⠛
⡀⣴⣷⣍⣦⣿⣿⣶⡃⠁⠾⣿⣿⠀⠀⠀⡙⠂⠀⠀⠀⠀⠀⠈⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⡞⢻⣿⣿⣿⣿⣿⣭⣽⣿⣿⡬⣟⣴⡟⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠈⠟⠿⠀⠀⠀⣠⡄⣲⠡⠄⠀⠀⠀⠃
⣿⠶⠛⠻⣟⣿⡿⢿⡇⡀⠐⢖⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠮⠄⠀⠀⠀⠀⠀⢀⣠⣶⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣧⣶⣾⣿⣧⣤⣥⣀⣀⠀⠀⠀⠂⠀⢀⢀⣿⣿⣟⠛⠀⡀⣴⣶⣤⡀
⠛⠛⠻⢷⣀⡈⠳⡦⠀⠀⠀⠘⠻⠂⡀⠀⢡⣄⡀⢤⣀⠤⠀⠀⠀⠀⠀⠀⠀⠀⣀⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣀⠘⠛⠛⠛⡿⣿⣿⣿⣿⣿⠲⠀
⠀⠀⠠⠀⠙⠉⠀⠀⠀⠀⠀⠀⠀⠁⡅⡦⠄⠙⠓⠛⡓⠠⡀⠀⠀⠀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣴⣶⡮⣭⣿⣽⡷⡦⡀⠀
⠀⠠⠀⢰⡄⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠰⠗⢠⣦⣼⣬⣳⠈⢰⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠑⠃⣀⢠⣖⡃⠀
⠀⠀⠀⠀⠀⠀⠀⠠⠄⣄⠀⠀⠀⠀⠀⠀⠀⠻⠿⢿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣍⣯⣿⠇⠀
⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣯⠀⠀
⠀⠀⠀⠀⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠰⡶⢤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⣵⣿⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣌⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀
⣷⣶⣶⣦⣤⣄⢀⠀⠀⠀⠰⠶⠿⣯⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⡞⢙⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀
⣿⣟⡛⠻⠿⠙⢿⣿⣿⣿⣒⢆⡀⠈⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠏⠁⣀⢾⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀
⠛⠿⣷⡄⠀⠀⠀⠙⠿⠁⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠁⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀
⠹⣷⡝⢻⣷⡀⠀⠀⠀⠀⠘⡁⠽⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⡀⠀⠀⠀⢀⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀
⣿⣿⣿⣆⠀⠈⠆⠀⠀⠀⠀⠀⠄⠀⢀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⡇⢣⡆⠠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀
⣿⣿⣿⣿⣧⣤⣤⣄⡤⢤⣄⠀⠀⠀⠀⢈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠂⠀
⣿⣿⣿⣿⡛⠿⣿⣿⣷⣤⣈⠂⠀⠀⠂⠀⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⢿⠿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠉⠉⠉⠉⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠧⠀⠀
⠈⠈⠉⠁⠀⠉⠂⡻⠻⣟⢻⣷⣦⣀⣀⣠⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠈⠛⣿⠀⠀⠈⠀⠀⠀⠉⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀
⠀⠀⠒⠂⠀⠀⠀⠀⠙⠛⢿⠿⠙⠻⢟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠅⠀⠀⠀⠉⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢹⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀
⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⢀⣰⣼⣟⡁⠙⠻⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣤⣿⣿⣿⣥⣬⠳⣞⣃⣹⠹⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀
⠀⠀⡀⠀⠀⣛⢤⣠⣀⠀⠀⠀⠈⠉⢻⣿⣿⡟⠀⠀⢹⣿⢿⡟⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣷⣶⣧⣤⡀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⠀⠈⠀
⢶⣾⣿⣿⣶⣄⠉⣦⣤⣀⠀⠀⠀⠀⠐⠛⠛⠃⠀⠀⢸⡟⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⣀⠀⠀⠀⣤⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣿⣿⡄⠁⠀
⡀⠈⢻⣿⣛⣯⣷⣄⡹⣿⠳⠦⠀⠲⠀⠀⠀⠀⠀⢀⣸⣶⣿⡇⢀⣶⣤⣀⣤⣄⣀⣀⣀⣀⣀⣤⣴⣶⣶⣤⣤⣄⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⢿⣿⡧⠀⠀
⣿⣶⣄⠙⠛⠉⣿⣻⣟⣿⣷⣶⣶⣦⣔⣲⣷⡤⠂⠁⢸⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡆⠈⠉⠛⠲⡔
⡶⠛⠻⢿⣶⣾⣿⣷⣶⡏⢻⣛⣿⣿⣿⣯⣭⣿⡾⠿⢷⣾⣇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⣶⡆⠀⠁
⣧⡤⠶⣾⡟⢭⣿⢿⣶⣔⣛⠉⠉⠛⠋⠻⣻⣿⣷⣶⣾⣿⠿⠄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀
⣮⣿⣷⣨⣛⡛⠋⢻⣿⣿⣿⣦⣀⠀⠀⢀⣙⣿⣭⣿⣭⣿⣿⣷⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣶⣮⣿⣧⣬⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠛⠛⠙⠛⠿⠿⠿⢿⠿⡿⠛⠛⣿⣷⡀⠀⠈⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀
⢿⣯⣥⡍⣻⣿⣿⣯⣿⣿⣿⣿⣧⣶⣶⣾⣹⣿⣿⡿⢻⠿⣿⣿⣿⣿⡏⠉⠉⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣿⣿⣿⣦⡀⠀⠀⠈⠙⣿⣿⣿⣿⣿⣿⣿⠋⠁⢹⠀⠀⠀⠀⠀
⡀⠈⠋⠀⠉⠉⠋⠻⡿⣿⣿⣿⣿⡿⣿⣿⣿⣿⠟⠿⣮⣟⠹⠿⣿⣿⢷⠀⠀⠀⠀⠉⠛⠛⠛⠋⠀⠀⢀⣴⣶⣦⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⠀⠀⠈⠀⠀⠀⠀⠀
⣿⣶⣢⣤⣤⠀⠀⠀⠸⠟⠋⠉⠲⣶⠮⢿⣏⣩⣶⣶⣿⣿⣿⣷⣺⣗⣨⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣷⣄⠀⠀⣀⣀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠂⠀⠀⠀⢀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣧⣴⣶⡾⠏⠀⠀⠀⠀⠠⠀⠠⡀⠀⠿⣿⣿⣟⣿⣾⣿⣷⣿⡾⣼⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠻⠟⠻⠀⠚⠛⠿⢿⡿⠟⠿⠿⠿⠿⠿⠿⠿⠏⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀
⠻⠇⠀⠙⠙⢳⣦⣤⣶⠀⠂⢀⠈⠀⢀⣀⣀⣌⡈⠛⠿⣿⣷⣻⣟⣛⢮⣼⡀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀
⣦⡀⢳⣾⣷⣾⣿⣿⣿⣿⣋⡄⠀⠀⠉⠁⠀⢠⣥⡄⠀⠘⠙⣟⣿⢻⢉⣭⡓⠀⠀⠀⢀⣶⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠠⣀⣤⣾⣿⣷⠀⠀⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀
⢯⣭⠂⠈⠉⢠⣿⣿⣿⣿⣽⣿⣶⣄⠀⠀⠀⠀⠿⠧⣤⡄⢀⣈⣿⡧⣤⣄⠀⠀⢠⣴⣿⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⢀⣀⣀⣀⣐⣆⣰⣞⣿⣿⣽⣾⣿⣿⣿⣿⣿⣆⠀⢻⣿⣿⣿⣿⣿⣿⠠⠀⠀⠀⠀⠀⠀⠀⠀
⣿⡗⣆⡀⠀⠈⣿⠿⠿⠟⢿⣿⣿⣿⣇⡀⠀⠀⢤⡦⢤⣿⣙⣿⣿⣿⣤⡈⣁⠀⢙⣿⣿⣿⣿⣿⣿⢀⡀⠀⠀⠀⠀⠈⠙⠛⠿⠿⠿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣧⢸⣿⣿⣿⣿⡟⠠⠄⠴⡶⠀⠀⠀⠀⠀⠀
⣿⣷⣭⣿⣦⣴⣄⣀⠀⠦⠜⠛⠻⣿⣇⠀⠀⣦⣄⣨⣤⣉⣽⡯⠿⠿⠷⣿⣿⡟⠁⠙⠻⠛⠛⠻⠟⣾⣿⡀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠁⠀⠀⠀⠐⡀⢀
⠀⠉⠁⢺⣿⣿⣿⣿⣿⣦⠀⠀⠀⣈⣛⣿⠟⠉⠛⠛⢿⣿⣿⠛⢿⣿⣶⣿⣿⣽⣦⣀⠀⠀⠀⠀⠀⣿⣿⣷⣤⣤⡀⠀⠀⠀⠀⠀⣀⣠⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠃⠒⠀⠀⠀⠀⠀⠀⠀⠐⠀⠁
⢠⣶⣿⣷⣶⣾⣿⣿⣯⣥⣐⣠⢤⣀⣉⣛⣄⣠⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡀⠀⠀⠀⠀⠉⠹⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢉⡀⠀⠀⠀⠀⣠⣦⠤⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⡟⠋⠉⢿⣿⣿⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⣿⣿⡏⠀⠊⠍⠃⠀⠈⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣆⠀⠀⠀⠻⢾⣤⣦⣤⠀⠀⠀⠀⠀
⢰⠀⠈⠉⠉⢩⣯⣽⣶⣯⣀⠉⣿⣿⣿⣭⣽⣿⣟⣟⠻⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⡴⣶⡀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⢰⣦⣄⡀⠀⠀⠉⠓⠄⠀⠀⠀
⣿⣿⣷⡶⢶⣧⣽⣿⣿⠿⣿⣴⣉⣽⣾⣿⣿⣿⣿⣿⣿⣯⣿⣿⡿⠋⠉⠀⠀⠀⠀⠀⢰⡇⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠉⠉⠉⠉⠉⠉⠉⢁⣼⣿⣿⣿⣿⣿⣿⣿⡇⠈⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀
⢋⣳⣤⣶⣶⣿⣿⣿⣯⣷⣦⣹⣷⣿⣿⣿⣿⠿⠿⠻⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀
⣿⣿⣿⣭⣿⣿⣿⣻⣿⣶⣿⡿⠋⠀⠉⠥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀
⣿⣿⣿⣿⣿⣿⣿⢿⣿⠟⡛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡆⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀
⣿⣿⣿⣿⣿⣿⣿⠄⢻⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄
⣿⣿⡟⢿⡿⠿⠃⢀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠄⣀⡀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡇⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⡟⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡚⠛⠇⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣷⣄⠀⠐⣶⣄⠀⣠⣼⣿⣟⡒⠂⠀⠀⣀⣄⠀⠀⠀⠐⣾⣿⣿⣿⣿⣿⡿⠁⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡇⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣦⠀⠈⢻⣷⣌⣻⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⣴⣿⣿⣿⣿⣿⡟⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠀⠠⢽⣿⣿⣿⣿⠋⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⠙⢽⣿⣿⣿⣿⣿⣿⣿⣯⡄⠀⣸⣿⣿⡿⠋⠁⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⠀⠙⠻⠿⠋⢛⣿⣿⡟⠉⢩⣼⡿⠗⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠈⠉⠉⠉⠀⠈⢁⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿
⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠋⢠⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠀⣾⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⢿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠁⠀⠀⠀⢀⣾⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠀⠀⠀⠀⠀⠈⢻⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⠄⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉

                    ䷩ 𝚕𝚒𝚗𝚎 4303

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

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    Gemini version at https://techrights.org/n/2024/06/28/Video_Julian_Assange_Explains_Wikileaks_Logistics.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ [Video] Julian Assange Explains Wikileaks'
Logistics⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jun 28, 2024


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


Portions of this_old_interview (predating indefinite detention) have just been
disseminated_by_SBS_Dateline. 14 hours ago:


The_man_behind_WikiLeaks_|_SBS_Dateline_Archives


WebM version: The_man_behind_WikiLeaks_|_SBS_Dateline_Archives




⠀⠀⠀⠉⠈⠁⠀⠀⠀⠀⠀⠀⠈⠁⠘⠀⠀⠀⠀⠛⠛⠃⠸⠿⠿⠀⠘⠿⠀⠀⠀⠀⠿⠀⣾⠟⠀⣿⣿⡇⠀⢠⠲⢾⠀⣿⣿⡅⢈⣉⠁⠀⢨⣿⣿⠀⣿⣿⡇⢰⣌⠃⠀⠀⠘⣀⠀⠷⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠈⠀⠈⠀⠉⠋⠁⠛⠛⠃⠀⠀⠛⠛⠀⠛⠻⠃⠨⣭⡅⠀⠀⢀⣤⠀⠦⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⣀⣄⠁⠀⠀⠐⣀⠀⠀⠀⠀⠀⠈⠀⠜⠓⠠⠤⠠⠤⠀⣀⡀⠀⣀⠀⡀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠉⠀⠀⠈⠘⠿⠀⢦⠘⠀⠀⢠⢞⠀⠀⣶⣶⣦⣤⣶⣶⣤⣴⣦⣼⣿⣿⣿⣿⣯⣭⣿⣿⣦⣵⣦⣤⣎⣥⠤⠤⠀⣀⠀⣶⣶⣶⣶⣶⣶⣶⡶⠂⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠰⠀⠙⠾⠀⠀⠠⠄⠒⡤⡉⣰⣄⣤⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⡁⣿⣿⣿⠟⠋⠊⠘⠁⢰⠀⠀⠀⠀
⠀⠀⣀⠀⢀⠀⣠⣤⣤⣄⣀⢀⣠⣀⢀⣀⠀⠀⢀⣀⠀⠀⠀⣠⣤⣴⣾⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡉⣹⢶⣤⣿⠀⠀⠀⠀
⠀⠀⠈⠀⢀⣠⡈⠉⠉⠉⠉⠉⠉⠉⠛⠙⠀⠀⠘⠛⣻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣏⣠⣿⣿⠀⠀⠀⠀
⠀⠀⠀⠀⢀⣙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠄⠀⠀⠀
⠀⠀⠀⠀⠈⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣄⡀
⡶⠀⠀⠀⠀⣴⣠⣀⣠⣤⣤⣤⣤⣤⣤⣤⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠁⠀⠀⠀⠀⠉⠙⠙⠋⠙⠛⠛⠛⠛⠻⢟⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣄⠀⠀⠈⢿⣿⣦⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢀⣴⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠈⡹⣿⢮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠄⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⡿⠛⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠇⢹⣿⣿⣿⣻⣿⣿⣿⣿⡛⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⣱⢿⣿⣿⣿⣿⠁⠀⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⠀⠻⣧⢻⡏⠉⠻⣿⣿⡷⡌⢿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⢠⠎⣴⢫⣿⣿⣿⣿⣿⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣷⠹⡌⣇⠀⠀⠈⢻⣿⡏⡄⠘⠻⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠠⠋⣼⠇⣿⣿⣿⣿⣿⡿⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢆⠱⠈⠀⠀⠀⠀⠙⣇⠁⠀⠀⠘⠻⣿⣿
⠀⠁⠀⠀⠀⠀⠀⠀⣰⡟⠘⣿⣿⣿⣿⣿⡇⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠀⠀⠀⠀⠀⠀⠀⠈⠆⠀⠀⠀⠀⠈⣿
⠀⠀⠀⠀⠀⠀⠠⢠⢯⡅⢰⣿⣿⣿⣿⣿⢁⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⠞⣚⠃⣼⣿⣿⣿⣿⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⠛⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡏⠈⠙⡁⢹⣿⣿⣿⣿⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢸⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠸⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⡿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⢻⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⣿⣿⣿⣿⣿⡿⠛⠉⠁⠉⠉⠉⠙⠛⠿⠻⠿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠰⡄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣠⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡝⣿⣏⢿⣿⣷⡤⠄⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⢤⠤⠤⠀⠀⠀⣀⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⣤⡄⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⡇⠹⣿⠈⡹⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣷⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⢀⣀⣶⣷⣾⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⠀⠻⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⠙⣧⡁⢰⡄⠀⣀⣀⣀⣤⠴⠂⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⢀⣶⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠸⠳⠀⢥⣼⡿⠋⠁⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠈⠀⠩⠭⠉⠹⣟⠀⠀⠀⠀⡄⢸⣿⣿⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢤⠤⠀⠛⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⣿⣿⣶⡄⠉⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠻⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠚⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠈⠻⠿⢿⣿⡿⠿⠿⠿⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⠉⠁⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠛⢁⡀⠐⠂⣀⡀⢐⡂⡄⠀⠀⠀⠠⠄⠢⠼⣿⣿⣿⡿⠁⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⣻⣄⡙⠂⠒⢉⣉⡛⣛⠊⠙⡆⠀⠀⠀⢀⡤⢤⡠⠻⣿⠏⠀⠀⠀⠀⢰⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠶⢆⢨⡿⣆⠉⡉⠉⠃⣁⡄⠀⡃⠀⠀⠀⣦⣤⣿⣧⣤⣥⠀⠀⠀⠀⠀⣸⣿⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠒⡆⣤⠤⠀⡶⢡⡤⠛⠷⣀⣿⠇⠀⠀⠀⣛⣫⣽⡓⢦⡴⠆⠀⠀⠀⠀⠙⣿⣿⡿⠶⠶⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀
⡀⣑⣋⣐⣦⣥⣋⡿⣶⣶⡎⣙⠃⠀⠀⠀⣮⡅⢛⣻⠟⠷⠀⠓⢄⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿
⢀⡠⠆⣉⣉⠁⡄⠐⠊⠉⠗⠈⠃⠀⠀⠀⡇⠙⠎⡰⠆⢀⠈⠗⠀⠓⡀⠀⠀⢐⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⢀⣾⣿
⠀⠘⠃⠰⠚⠘⠋⠁⠀⠀⠰⠞⠀⠀⠀⠀⠀⠘⠂⠁⠀⠂⠀⠀⢀⠀⠁⠀⠀⢸⣿⣿⣿⣦⣤⣄⣀⣀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡿⣡⣿⣿⣿
⠤⠒⠀⠂⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠈⠀⠈⠁⠀⠀⠉⠃⠐⠠⠔⠀⢀⡀⠘⣿⣿⡿⠿⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢏⣾⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠂⠀⠀⣀⢈⡈⠀⡀⠀⢀⠀⢷⣿⣿⣿⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠖⣡⣿⣿⣿⣿⣿⣿
⡐⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⢀⠁⠀⠀⠀⠀⠹⣿⣿⣿⣯⣤⣤⣤⣤⣴⣶⣶⣾⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⣾⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⢀⠀⣀⠀⠀⠀⠀⡄⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢫⠄⡤⠄⢀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⢠⣭⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⢸⣈⠎⣀⡇⠀⡏⢸⢰⣺⢸⡝⢸⣚⠚⣿⠁⡇⣇⡵⠈⢯⣨⢺⠀⡇⡇⣇⡀⣗⡃⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⡞⠂⠃⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠂⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀
⠀⠀⣴⠄⢾⣿⣴⣾⣻⠆⢴⣶⣿⣧⠀⣶⣂⡀⠀⠀⠀⠹⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠀⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀
⣶⣶⣶⠀⠠⣤⣤⣤⣤⣀⣠⣤⣤⣤⣄⢁⡉⠀⣠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡇⠀⠀⠈⢦⡀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀
⠿⠿⠟⠛⣒⠚⠻⢿⣿⣿⣿⣿⣿⠿⢶⣷⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣷⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀
⡬⢻⣿⣿⣿⢿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⡄⠀⠀⠘⣿⣿⣿⢃⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀
⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⡄⠀⠀⢿⣿⣷⣿⣿⣶⣶⣶⣤⣉⠙⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣧⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠈⠙⠻⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀
⣾⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡏⠈⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⣀⣀⡀⠀⠀⠉⠃⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 4402

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/06/28/Vista_11_is_Doomed_and_Despite_Lack_of_Adoption_Microsoft_Alrea.shtml
    Gemini version at https://techrights.org/n/2024/06/28/Vista_11_is_Doomed_and_Despite_Lack_of_Adoption_Microsoft_Alrea.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Vista 11 is Doomed and Despite Lack of
Adoption Microsoft Already Speaks of Vapourware
("12")⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jun 28, 2024


Earlier this_month: It_Took_Microsoft_More_Than_3_Years_to_Get_a_Quarter_of
Windows_Users_to_'Upgrade'_to_Vista_11_(3_Out_of_4_Windows_Users_Still_Reject
It)


Microsoft is in trouble - serious trouble that so-called "market valuation"
says nothing about because it_is_based_on_fraud.


Windows_usage_has_collapsed_in_India and in_the_US. GNU/Linux is only growing.


Vista 11's market share will only fall further with blunders_like_these: (last
night)


    🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Microsoft has pulled a Windows 11 update after users
reported boot loops and startup failures. The problem is the June non-security
   preview update, KB5039302, which has left some systems requiring recovery
               operations to get up and running after install.⦈


The symptoms of bloated, unmaintainable codebase that lacks proper modularity.
Laying_off_tens_of_thousands_of_coders will only worsen such things.


What can Microsoft do now other than sabotage_GNU/Linux using incompetent code
monkeys whom it pays peanuts? █




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⣧⣤⣯⣿⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡿⡿⡿⠿⠿⢿⠿⢿⡿⡿⠿⢿⡿⡿⠿⡿⠿⠿⡿⠿⠿⡿⠿⣿⠿⠿⡿⠿⡿⣿⠿⠿⠿⢿⡿⠿⠿⣿⠿⠿⠿⢿⣿⣿⢿⠿⢿⠿⠿⢿⡿⠿⡿⢿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣷⣿⣧⣾⣷⣶⣶⣾⣷⢿⣶⣾⣶⣶⣶⣷⣶⣾⣷⣶⣶⠶⣶⣾⡶⣷⣾⣶⣶⣿⣴⣶⣶⣾⣧⣤⣤⣤⣤⡤⣤⣤⣿⣶⣿⢶⣿⣶⣶⣾⣶⣿⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣷⣦⣶⣷⣿⣶⣿⣶⣼⣷⣾⣮⣿⣶⣿⣷⣾⣷⣿⣾⣾⣷⣶⣷⣶⣷⣿⣯⣾⣷⣾⣷⣾⣾⣿⣷⣷⣾⣯⣷⣶⣷⣾⣿⣶⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠿⢿⠿⣿⠻⠿⡟⣿⠿⣿⠿⠿⠿⠿⠿⡟⢿⡿⢿⠟⢻⠿⢻⠿⠿⡟⠿⡿⠿⠿⢿⠻⠿⢿⠿⡿⠻⠿⢿⡿⠿⠿⢿⡿⢻⡿⠿⠿⠟⡟⠿⢿⡿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡷⠷⠶⢶⠷⡾⡶⠷⠾⠶⠿⢷⡶⣶⠶⠶⣷⠿⡷⢾⢾⠿⠷⠶⠾⢶⠿⡶⡷⡶⠶⠾⠾⠶⠶⡾⡷⢶⠶⢿⠶⠶⢾⠶⠿⣿⠶⡶⠶⠾⠷⣶⢾⡷⡶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡷⣿⣿⣿⣾⣾⣷⣾⣷⡶⢷⣿⣷⣾⣶⡷⢼⣶⣾⣾⣾⢷⣷⣾⣷⣾⣶⣿⣶⣷⢶⣿⣶⣿⣾⣮⣿⣿⣶⣿⣷⣿⣿⣿⣶⣾⣷⣿⣾⣷⡾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣧⣤⣬⣦⣧⣼⣿⣤⣧⣧⣤⣴⣾⣧⣼⣤⣤⣮⣽⣥⣬⣬⣦⣼⣤⣽⣥⣿⣤⣧⣼⣭⣤⣧⣼⣤⣼⣷⣤⣤⣧⣬⣦⣿⣴⣮⣧⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣧⣦⣦⣤⣭⣤⣼⣤⣾⣦⣦⣤⣷⣤⣼⣤⣥⣴⣧⣤⣧⣥⣼⣥⣼⣮⣼⣯⣤⣵⣭⣤⣾⣥⣴⣥⣤⣯⣦⣬⣥⣼⣥⣤⣤⣤⣤⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 4473

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Gemini Links 28/06/2024: Christmas
Prematurely, Self-hosting⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jun 28, 2024


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Chain_Link⦈_


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


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


          o § Personal/Opinions⠀➾


                # ⚓ Drunk..._again⠀⇛


                       My consumption of spirits is too high. I fight and
                       flail and unquestionably fail.


                       Pumped full of chemicals, but nothing change, only
                       the ghost of ethanol cure me of my strange.


                # ⚓ IT_HAS_BEGUN!_(“It”_being_Christmas_themed_advertising)⠀⇛


                       Last night at the Cracker Barrel [1], Bunny and I
                       saw store displays nominally for Halloween. But
                       nestled in the middle of the display was an
                       evergreen tree with ornaments hanging off it. Try
                       as you might, Cracker Barrel, there is no such
                       thing as a Halloween Tree [2] (no disrepect, Mr.
                       Bradury [3])—it's still a Chrismtas Tree.


                       And then today I saw what is to me, the first
                       official advertisement for Christmas—a trailer for
                       a movie called “Red One [4],” a muddy looking CGI
                       (Computer Generated Images) slugfest where Santa
                       Clause has been kidnapped [5] and needs to be
                       saved.


                # ⚓ No_Kurzgesagt,_Feeling_Free_Isn't_Good_Enough⠀⇛


                       Before I critique Kurzgesagt's new video, I just
                       want to make clear that this entry does not
                       constitute a return to writing. I'm still taking a
                       step back¹ from writing. I'm only writing this
                       entry because Kurzgesagt has a lot of influence and
                       I want to share my thoughts on why they're wrong
                       while the video is still recent.


                # ⚓ I_honestly_don't_feel_accomplished.⠀⇛


                       It has been around 3 weeks since have got done with
                       finals. I didn't have much hope for it honestly,
                       but grades turned out to be a lot better than I was
                       expecting it to be. I don't feel any sort of
                       accomplishment, though. Just feeling this "oh I
                       don't need to worry about this now" feeling for an
                       hour or two then forgetting about it.


                       I've been feeling this a lot recently with summer,
                       especially as I was trying to branch on to more
                       things, but it all feels like just another weight
                       off my shoulder. It lead me to cancel a lot of my
                       personal plans, as I wasn't convinced like it would
                       make any positive impact.


          o § Technology and Free Software⠀➾


                # § Internet/Gemini⠀➾


                      # ⚓ Selfhosting_a_Household_Wiki⠀⇛


                             I've always felt that the way we kept track
                             of things around the house could be improved.


                             Very often I found myself searching and
                             scrolling through the family chat history to
                             find back things like recipes and contacts.


                             It was just a cluttered mess. Some important
                             data resides on a chat, some was kept in
                             Google Keep and others were just written on a
                             piece of paper that you never seem to find
                             when you actually need it.


                             So we decided to go for a more structured
                             approach and set up a Wiki.


                             Since I already have a trusty old Pine64 SBC
                             running in the basement, it was an easy
                             choice to assign it the task of hosting the
                             Wiki.


                             After testing out a couple of open source
                             Wiki solutions, I finally decided on
                             BookStack.


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





                    ䷩ 𝚕𝚒𝚗𝚎 4614

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Links 28/06/2024: Kangaroo Courts and
Patents Spam, EFF Still Fighting for CPC's TikTok (a Digital
Weapon)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jun 28, 2024


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Sea_Of_Azov⦈_


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * Leftovers
          o Science
          o Hardware
          o Health/Nutrition/Agriculture
          o Proprietary/Artificial_Intelligence_(AI)
          o Security
                # Privacy/Surveillance
          o Defence/Aggression
          o Transparency/Investigative_Reporting
          o Environment
                # Energy/Transportation
                # Wildlife/Nature
          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
                # Copyrights
    * § Leftovers⠀➾


          o ⚓ Ruben Schade ☛ Sunaookami_Shiroko_by_Good_Smile_Company⠀⇛


                 Elizabeth Rose Bloodflame mentioned in_her_debut_stream
                 that while she’s not a fan of tea (“soz, innit?”), she
                 loves the aesthetic of it. That’s been my impression of
                 Blue Archive. I played the mobile game briefly, but while
                 it wasn’t exactly what I was after, I absolutely adored
                 the world building, character designs, and visuals. It
                 gives me Railgun vibes, but more blue. And presumably,
                 with more archives.


          o ⚓ Ruben Schade ☛ Persistence_and_delayed_gratification⠀⇛


                 Pop psychology is full of contradictory information:


                 We’re told attempting the same thing more than once, then
                 expecting different results, is the definition of
                 insanity. Yet we’re also told to try, and try again, to
                 secure a better outcome.


                 We’re told to save and plan for the future, because you
                 don’t know what’s coming. Yet we’re also told it’s
                 important to live in the present moment.


          o ⚓ Tedium ☛ Paramount_Concerns⠀⇛


                 In an immediate austerity measure after a failed merger,
                 Paramount kills a ton of online content—an ironic move
                 for a brand that has long exploited nostalgia.


          o ⚓ MWL ☛ 50:_My_Childish_Behavior⠀⇛


                 I’m fighting with the Kickstarter web interface to
                 fulfill the Run Your Own Mail Server campaign and trying
                 to get Dear Abyss ready for launch, so here’s a chunk of
                 an advice column.


          o ⚓ Hackaday ☛ The_SS_United_States:_The_Most_Important_Ocean_Liner
            We_May_Soon_Lose_Forever⠀⇛


                 Although it’s often said that the era of ocean liners
                 came to an end by the 1950s with the rise of commercial
                 aviation, reality isn’t quite that clear-cut. Coming out
                 of the troubled 1940s arose a new kind of ocean liner,
                 one using cutting-edge materials and propulsion, with
                 hybrid civil and military use as the default, leading to
                 a range of fascinating design decisions. This was the
                 context in which the SS United States was born, with the
                 beating heart of the US’ fastest battle ships, with
                 light-weight aluminium structures and survivability built
                 into every single aspect of its design.


          o ⚓ Hackaday ☛ Powering_Airplanes_With_Microwaves:_An_Aviation
            Physics_Challenge_Amidst_Many⠀⇛


                 Falling firmly under the fascinating science category of
                 ‘What if…?’ comes the idea of powering airplanes with
                 beamed microwaves. Although the idea isn’t crazy by
                 itself, since we can even keep airplanes flying using
                 just solar power (though with no real useful payload),
                 running through the numbers as [Ian McKay] does in a
                 recent article in IEEE Spectrum makes it clear that there
                 are still some major hurdles if we want to make such a
                 technology reality. Yet is beamed microwave power that
                 much more far out than other alternative ways to power
                 aviation?


          o ⚓ Tom's Hardware ☛ Kirigami_computer_has_high-density_memory_and
            doesn't_need_electricity_—_researchers_demo_new_mechanical
            computing_design⠀⇛


                 North Carolina State University researchers have
                 developed an unorthodox computing design that uses the
                 Japanese art of Kirigami.


          o ⚓ Hackaday ☛ Rock_Out_Without_Getting_Knocked_Out⠀⇛


                 It’s a constant battle for musicians — how to practice
                 your instrument without bothering those around you? Many
                 of us live in apartments or shared accommodation, and
                 having to wait until the apartment is empty or only being
                 able to practice at certain times of day can be
                 restrictive, especially if you need to practice for an
                 upcoming gig or if the creative juices start flowing and
                 it’s 3 AM! [Gavin] was having this issue and started
                 developing Porter, a guitar/bass practice device which
                 works with all effects pedals and is portable and
                 rechargeable. So you can grind away your epic heavy metal
                 solo no matter the time of day!


          o ⚓ Hackaday ☛ 8-Bits_And_1,120_Triodes⠀⇛


                 While it’s currently the start of summer in the Northern
                 Hemisphere, it will inevitably get cold again. If you’re
                 looking for a unique way of heating your workshop this
                 year, you could do worse than build an 8-bit computer
                 with a bunch of 6N3P vacuum tubes. While there are some
                 technical details, you might find it a challenging build.
                 But it is still an impressive sight, and it took 18
                 months to build a prototype and the final version. You
                 can find the technical details if you want to try your
                 hand. Oh, did we mention it takes about 200 amps? One of
                 the prototype computers plays Pong on a decidedly low-
                 tech display, which you can see below.


          o ⚓ Hackaday ☛ A_Previously_Unknown_Supplier_For_A_Classic_Chip⠀⇛


                 It’s common enough for integrated circuits to be
                 available from a range of different suppliers, either as
                 licensed clones, or as reverse-engineered proprietary
                 silicon. In the case of a generic circuit such as a cheap
                 op-amp it matters little whose logo adorns the plastic,
                 but when the part in question is an application processor
                 it assumes much more importance. In the era of the 486
                 and Pentium there were a host of well-known manufacturers
                 producing those chips, so it’s a surprise decades later
                 to find that there was another, previously unknown.
                 That’s just what [Doc TB] has done though, finding a 486
                 microprocessor from Shenzhen State Micro. That’s not a
                 brand we ever saw in our desktop computers back in the
                 1990s.


          o ⚓ Hackaday ☛ Portable,_Full-Size_Arcade_Cabinets⠀⇛


                 Believe it or not, there was a time when the only way for
                 many of us to play video games was to grab a roll of
                 quarters and head to the mall. Even though there’s a
                 working computer or video game console in essentially
                 every house now doesn’t mean we don’t look back with a
                 certain nostalgia on those times, though. Some have
                 turned to restoring vintage arcade cabinets and others
                 build their own. This hackerspace got a unique request
                 for a full-sized arcade cabinet that was also easily
                 portable as well.


          o ⚓ Hackaday ☛ Activated_Alumina_For_Desiccating_Your_Filament⠀⇛


                 When you first unwrap a shiny new roll of filament for
                 your FDM printer, it typically has a bag of silica gel
                 inside. While great for keeping costs low on the
                 manufacturing side, is silica gel the best solution to
                 keep your filament dry at home?


          o ⚓ New York Times ☛ N.F.L._Ordered_to_Pay_Billions_in_Sunday_Ticket
            Lawsuit⠀⇛


                 The case, which cut to the heart of the league’s media
                 strategy, centered on a subscription service that aired
                 out-of-market games for roughly $300 a year.


          o § Science⠀➾


                # ⚓ Science Alert ☛ Did_Dinosaurs_Inspire_The_Legendary
                  Griffin?_Scientists_Solved_The_Mystery⠀⇛


                       Where did this fantastic creature come from?


                # ⚓ New York Times ☛ The_Last_Stand_of_the_Woolly_Mammoths⠀⇛


                       The species survived on an island north of Siberia
                       for thousands of years, scientists reported, but
                       were most likely plagued by genetic abnormalities.


                # ⚓ European Commission ☛ Commission_provides_new_evidence_for
                  approach_to_R&I_for_a_more_competitive_Europe⠀⇛


                       European Commission Press release Brussels, 27 Jun
                       2024 Today, the Commission has published the 2024
                       edition of the Science, Research and Innovation
                       (R&I) Performance report (SRIP).


                # ⚓ University of Michigan ☛ $10.5M_biomaterials_center_to_fund
                  innovation,_fight_resource_discrimination⠀⇛


                       The Humanity Unlocking Biomaterials center, led by
                       U-M and University of Washington, has received $10.
                       5 million by the National Institutes of Health.


          o § Hardware⠀➾


                # ⚓ Tom's Hardware ☛ Hori_announces_official_Valve-licensed
                  Steam_Controller_—_launches_on_Halloween_in_four_colors⠀⇛


                       Hori releases officially-licensed Steam Controller
                       successor, which mixes some features of the Deck
                       controller with a modern gamepad shell.


                # ⚓ CNX Software ☛ HIGOLE_F9B_Pro_defective_chip_maker_Intel
                  N100_mini_computer_comes_with_a_built-in_7-inch_touchscreen
                  display_and_5,000_mAh_battery⠀⇛


                       HIGOLE F9B Pro is a mini PC powered by an defective
                       chip maker Intel Processor N100 quad-core CPU and
                       equipped with a built-in 7-inch touchscreen
                       display, a 5,000mAh battery, and full-size ports
                       that could be confused with a 7-inch tablet if it
                       was not so thick… GOLE/HIGOLE has made many such
                       mini PCs with integrated displays over the years
                       initially to lower the backdoored Windows license
                       fee, but they’ve kept making those with new
                       defective chip maker Intel families, for example
                       with the Gemini Lake-powered GOLE1 Pro mini PC with
                       a 5.5-inch display introduced in 2022.


                # ⚓ Tom's Hardware ☛ Lenovo_adopts_Chinese_Loongson_CPUs_for
                  cloud_servers_—_16-core_Loongson_3C5000_chips_necessary_to
                  rebuff_US_sanctions⠀⇛


                       Lenovo puts Loongson's 3C5000 and 3A6000 CPUs into
                       its datacenters.


          o § Health/Nutrition/Agriculture⠀➾


                # ⚓ University of Michigan ☛ UMich_researchers_explore
                  difficulties_parents_face_in_meeting_nutritional_needs_of
                  children⠀⇛


                       In April, the C.S. Mott National Poll on Children’s
                       Health released a report on the struggle of
                       ensuring kids eat a healthy diet and the benefits
                       and drawbacks of many common household meal-time
                       practices. The report is based on responses from
                       1,083 parents with at least one child aged 3-10.


                # ⚓ Hong Kong Free Press ☛ All_ID_cardholders_can_use
                  hospitals,_gov’t_says,_amid_concern_about_overseas
                  Hongkongers_returning_for_treatment⠀⇛


                       All Hongkongers holding identity cards or aged
                       under 11 are eligible to use the city’s public
                       hospitals, health chief Lo Chung-mau has said as
                       lawmakers raised concern that Hongkongers based
                       overseas were returning to the city for medical
                       treatment.


                # ⚓ PHR ☛ Supreme_Court_Decision_to_Send_Idaho_Abortion_Case
                  Back_to_Lower_Courts_is_a_Reprieve_but_Leaves_Patients_and
                  Clinicians_at_Risk:_PHR⠀⇛


                       The Supreme Court’s decision to avoid ruling on the
                       conflict between Idaho’s extreme ban on access to
                       abortion and a federal law guaranteeing access to
                       abortions in cases of emergency provides a reprieve
                       to pregnant patients in Idaho but leaves pregnant
                       patients experiencing grave health risks and
                       emergency room clinicians facing a medical ethics
                       crisis...


                # ⚓ JURIST ☛ US_Supreme_Court_declines_to_ban_emergency
                  abortions_in_Idaho⠀⇛


                       The US Supreme Court on Thursday declined to block
                       access to emergency abortion services in Idaho. In
                       Moyle v. US, the Supreme Court was asked to
                       determine whether a federal law—the Emergency
                       Medical Treatment and Active Labor Act
                       (EMTALA)—would preempt Idaho’s near-total abortion
                       ban.


                # ⚓ Science Alert ☛ Forever_Chemicals_Seep_Through_Human_Skin,
                  Alarming_Study_Confirms⠀⇛


                       A toxic surprise.


                # ⚓ Science Alert ☛ Inbreeding_Not_to_Blame_For_Wooly_Mammoth
                  Extinction,_Surprising_Study_Finds⠀⇛


                       So what happened?


                # ⚓ Science Alert ☛ This_Smiling_Face_Made_With_Human_Skin_Is
                  Nightmare_Fuel._And_Amazing.⠀⇛


                       You can't unsee this.


                # ⚓ Science Alert ☛ The_World's_Most_Common_Pain_Relief_Drug
                  May_Induce_Risky_Behavior⠀⇛


                # ⚓ Latvia ☛ Hospitals_concerned_about_army_luring_away_staff⠀⇛


                       Hospital representatives are concerned about the
                       call for candidates for vacant medical specialist
                       posts by the National Armed Forces (NBS). With
                       salaries promised to start at almost EUR 1,800
                       after tax, it is likely that medical staff will
                       express interest in these vacancies. The NBS
                       stresses that medical workers are allowed to
                       combine their posts and continue working in
                       civilian medical institutions, Latvian Radio
                       reported on June 27.


                # ⚓ Latvia ☛ Hot_weather_brings_spike_in_drowning_figures_in
                  Latvia⠀⇛


                       Four drowned people pulled from Latvia's rivers and
                       lakes on Wednesday mark the gloomy side of the hot
                       weather.


                # ⚓ RFA ☛ Cruel_summer:_North_Koreans_ordered_to_provide_human
                  waste_for_fertilizer⠀⇛


                       Usually this is done in the winter, when it is less
                       smelly and there are fewer flies.


                # ⚓ The Straits Times ☛ ST_Picks:_Can_Sarawak_become_Malaysia’s
                  next_‘rice_bowl’?⠀⇛


                # ⚓ ACLU ☛ The_Supreme_Court_Just_Declined_to_Protect_Emergency
                  Abortion_Care_for_Pregnant_Patients._Here’s_What_to_Know⠀⇛


                       Today, the Supreme Court declined to issue a ruling
                       in Idaho_and_Moyle,_et_al._v._United_States.
                       Instead, it sent the case back down to the lower
                       courts where anti-abortion extremists will continue
                       to fight to strip pregnant people of the basic
                       right to emergency care, including when their life
                       is at risk.


                # ⚓ France24 ☛ US_Supreme_Court_rejects_$6_billion_OxyContin
                  settlement_shielding_Sackler_family⠀⇛


                       The US Supreme Court on Thursday rejected OxyContin
                       maker Purdue Pharma's $6 billion settlement that
                       would have shielded the Sackler family, who owned
                       the company and earned tens of billions as it
                       flooded the country with the highly addictive drug,
                       from future civil lawsuits over the role they
                       played in the country's deadly opioid epidemic.


          o § Proprietary/Artificial Intelligence (AI)⠀➾


                # ⚓ Federal News Network ☛ FedRAMP_finalizes_‘fast_pass’
                  approval_process_for_Hey_Hi_(AI)_tools⠀⇛


                       The new emerging technology prioritization
                       framework will help determine which generative Hey
                       Hi (AI) tools need to be pushed to the front of the
                       line for approval.


          o § Security⠀➾


                # § Privacy/Surveillance⠀➾


                      # ⚓ EFF ☛ Victory!_Grand_Jury_Finds_Sacramento_Cops
                        Illegally_Shared_Driver_Data⠀⇛


                             The grand jury, a body of 19 residents
                             charged with overseeing local government
                             including law enforcement, released their
                             investigative report on Wednesday. In it,
                             they affirmed that the Sacramento County
                             Sheriff's Office and Sacramento Police
                             Department violated state law and
                             "unreasonably risked" aiding the potential
                             prosecution of "women who traveled to
                             California to seek or receive healthcare
                             services."


                      # ⚓ EFF ☛ Drone_As_First_Responder_Programs_Are_Swarming
                        Across_the_United_States⠀⇛


                             Police DFR programs involve a fleet of
                             drones, which can range in number from four
                             or five to hundreds. In response to 911 calls
                             and other law enforcement calls for service,
                             a camera-equipped drone is launched from a
                             regular base (like the police station roof)
                             to get to the incident first, giving
                             responding officers a view of the scene
                             before they arrive. In theory and in
                             marketing materials, the advance view from
                             the drone will help officers understand the
                             situation more thoroughly before they get
                             there, better preparing them for the scene
                             and assisting them in things such as locating
                             wanted or missing individuals more quickly.
                             Police call this “situational awareness.”


                      # ⚓ Scoop News Group ☛ House_panel_abruptly_cancels
                        federal_privacy_bill_vote⠀⇛


                             The sweeping bill had garnered opposition
                             from GOP leadership and others.


          o § Defence/Aggression⠀➾


                # ⚓ Defence Web ☛ Burkina_Faso_receives_huge_batch_of_Chinese
                  military_equipment⠀⇛


                       Burkina Faso’s military has taken delivery of some
                       100 new armoured vehicles from China as it
                       continues to expand its armed forces in the face of
                       relentless terror attacks. President Captain
                       Ibrahim Traoré officially took delivery of at least
                       40 Norinco VP11 and 50 Norinco CS/VP14 armoured
                       vehicles and 17 Caterpillar excavators on 6 June.


                # ⚓ RFA ☛ Censored_back_home,_Hong_Kong_authors_are_publishing
                  in_Taiwan⠀⇛


                       The city's authors are taking their thoughts and
                       memories elsewhere, as a new publishing base
                       emerges in exile.


                # ⚓ RFERL ☛ Jailed_Russian_Journalist_Added_To_Terrorist_List
                  Over_Links_To_Navalny's_Team⠀⇛


                       Russian authorities on June 27 added Artyom Kriger,
                       a journalist with the independent SotaVision
                       Telegram channel, to the list of terrorists and
                       extremists.


                # ⚓ The Straits Times ☛ ST_Picks:_Knife_attack_on_Japanese
                  woman,_child_in_China_-_Is_xenophobia_on_the_rise?⠀⇛


                # ⚓ JURIST ☛ Human_rights_groups_condemn_Lebanon_deportation
                  and_torture_of_Syria_refugees⠀⇛


                       Amnesty International issued a joint statement
                       along with other human rights groups on Tuesday
                       urging Lebanese authorities to end unlawful
                       practices against Syrian refugees. These practices
                       include torture, unlawful deportations, and ill-
                       treatment of Syrian refugees, which run contrary to
                       their international obligations.


                # ⚓ PHR ☛ France_Court’s_Decision_to_Uphold_Arrest_Warrant_for
                  Syria’s_Assad_Affirms_that_No_One_is_Beyond_Prosecution:
                  PHR⠀⇛


                       The Paris Appeals Court’s decision to uphold the
                       international arrest warrant for Syrian President
                       Bashar al-Assad, for his role in the August 2013
                       chemical weapons attack that killed more than 1,400
                       people and injured thousands more in the Damascus
                       suburb Ghouta, affirms that no one is immune from
                       prosecution for egregious war crimes...


                # ⚓ New York Times ☛ North_Korea_Says_It_Tested_Multiple-
                  Warhead_Missile_Technology⠀⇛


                       The announcement, coming days after Vladimir V.
                       Putin’s visit to Pyongyang, suggests an ambitious
                       attempt to upgrade the North’s nuclear arsenal.


                # ⚓ The Strategist ☛ Taiwan’s_exclusion_from_Interpol_is_the
                  world’s_loss⠀⇛


                       Politicking by the Chinese Communist Party has
                       blocked Taiwanese membership of Interpol since
                       1984, preventing the timely sharing of criminal
                       information and intelligence.


                # ⚓ RFERL ☛ Belgrade_Cancels_Serbian-Kosovar_Cultural_Festival
                  Amid_Safety_Concerns⠀⇛


                       The Serbian government banned a contemporary art
                       and cultural festival that promotes Serbian-Kosovar
                       relations just hours before it was due to open on
                       June 27, citing security concerns.


                # ⚓ Hong Kong Free Press ☛ Travellers_at_Hong_Kong_airport_will
                  not_need_to_unpack_carry-on_luggage_for_security_scans_from
                  July⠀⇛


                       Travellers using Hong Kong’s airport will not have
                       to unpack their carry-on luggage as they pass
                       through security with the phased introduction of a
                       new smart security screening system starting next
                       month.


                # ⚓ Atlantic Council ☛ Sweden_released_an_Iranian_war_criminal.
                  Here’s_how_activists_and_rights_defenders_reacted.⠀⇛


                       World powers will continue negotiating with the
                       Islamic Republic and make shortsighted concessions
                       that will endanger not only the future of Iran but
                       also global security. However, the fight for the
                       liberation of Iran is not over—at least for
                       Iranians.


                # ⚓ New York Times ☛ Israel_Orders_More_Evacuations_in_Gaza_as
                  Military_Fights_Hamas_in_Shajaiye⠀⇛


                       Palestinian officials and residents described
                       strikes and blasts as Israel’s public broadcaster
                       reported that the Israeli military had returned to
                       fight Hamas in Gaza City’s east.


                # ⚓ RFA ☛ Myanmar_insurgents_claim_post-ceasefire_capture_of_26
                  camps⠀⇛


                       At least four civilians were killed and 10 wounded
                       in airstrikes, residents said.


                # ⚓ France24 ☛ Hezbollah_fires_rockets_at_military_base_in
                  Israel,_says_four_fighters_killed⠀⇛


                       Hezbollah said it fired "dozens" of rockets
                       Thursday at a military base in northern Israel in
                       retaliation for Israeli strikes on Lebanon,
                       announcing four of its fighters had been killed.


                # ⚓ EFF ☛ Government_Has_Extremely_Heavy_Burden_to_Justify
                  TikTok_Ban,_EFF_Tells_Appeals_Court [Ed: EFF protects
                  psychological weapon of China]⠀⇛


                       The amicus brief says the Court must review the
                       Protecting Americans from Foreign Adversary
                       Controlled Applications Act — passed by Congress
                       and signed by President Biden in April — with the
                       most demanding legal scrutiny because it imposes a
                       prior restraint that would make it impossible for
                       users to speak, access information, and associate
                       through TikTok. It also directly restricts
                       protected speech and association, and deliberately
                       singles out a particular medium for a blanket
                       prohibition. This demanding First Amendment test
                       must be used even when the government asserts
                       national security concerns. 


                       The Court should see this law for what it is: “a
                       sweeping ban on free expression that triggers the
                       most exacting scrutiny under the First Amendment,”
                       the brief argues, adding it will be extremely
                       difficult for the government to justify this total
                       ban. 


                       Joining EFF in this amicus brief are the Freedom of
                       the Press Foundation, TechFreedom, Media Law
                       Resource Center, Center for Democracy and
                       Technology, First Amendment Coalition, and Freedom
                       to Read Foundation. 


                # ⚓ New York Times ☛ Shahjahan_Bhuiya,_Executioner_Turned
                  Fentanylware_(TikTok)_Star,_Dies_in_Bangladesh⠀⇛


                       He hanged high-profile inmates in exchange for a
                       reduction in his own robbery and murder sentences,
                       and became a social control media sensation after
                       his release.


                # ⚓ RFA ☛ North_Korea_says_Wednesday’s_missile_test_was
                  ‘successful’⠀⇛


                       South Korea said the North’s test ended with the
                       ballistic missile exploding in the air.


                # ⚓ New York Times ☛ Taiwanese_Are_Told_to_Avoid_China_After_It
                  Threatens_Independence_Backers⠀⇛


                       Beijing released new rules calling for execution of
                       “diehard” Taiwanese independence supporters, as
                       hostilities surrounding Taiwan’s status rise.


                # ⚓ New York Times ☛ China_Levels_Graft_Charges_Against_Former
                  Defense_Ministers⠀⇛


                       The two generals were accused of taking huge bribes
                       and of corruption that reached into the armaments
                       sector, indicating that the country’s military has
                       not shaken off old habits.


                # ⚓ The Straits Times ☛ US_tells_China_that_Philippines_support
                  ‘ironclad’⠀⇛


                       Kurt Campbell “raised serious concerns” with his
                       Chinese counterpart about South China Sea.


                # ⚓ RFA ☛ Chinese_‘monster’_ship_reinforces_nine-dash_line_in
                  South_China_Sea⠀⇛


                       The world’s largest coast guard ship patrolled the
                       U-shaped line where China claims control over
                       disputed waters.


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


                      # ⚓ Latvia ☛ Latvian_citizen_wanted_for_participating_in
                        war_against_Ukraine⠀⇛


                             On June 21 this year, the State Security
                             Service (VDD) requested the Prosecutor's
                             Office to initiate criminal prosecution
                             against a Latvian citizen for illegal
                             participation in the war in Ukraine on the
                             side of the Russian armed forces.


                      # ⚓ Security Week ☛ US_Announces_Charges,_Reward_for
                        Russian_National_Behind_Wiper_Attacks_on_Ukraine⠀⇛


                             The US Justice Department has announced
                             charges against Amin Stigal for conducting
                             wiper cyberattacks on Ukraine in 2022.


                      # ⚓ France24 ☛ French_far-right_leader_Bardella_vows
                        Ukraine_will_not_be_absorbed_by_'Russian_imperialism'⠀⇛


                             During a televised debate Thursday evening
                             with French Prime Minister Gabriel Attal and
                             Socialist leader Olivier Faure, Jordan
                             Bardella, president of the French far-right
                             National Rally party, vowed that his party
                             would not allow Russia to "absorb" Ukraine if
                             it comes to power after snap legislative
                             elections starting Sunday, June 30.


                      # ⚓ France24 ☛ EU-Ukraine_security_agreement_will_advance
                        'peace',_says_Zelensky⠀⇛


                             Ukrainian President Volodymyr Zelensky said a
                             security agreement to be inked between Kyiv
                             and the European Union on Thursday would
                             advance "peace and prosperity" across the
                             continent.


                      # ⚓ JURIST ☛ Russia_and_Ukraine_exchange_180_prisoners_in
                        UAE-mediated_swap⠀⇛


                             Russia and Ukraine conducted a prisoner
                             exchange, with each side exchanging 90
                             prisoners of war each and the United Arab
                             Emirates (UAE) acting as an intermediary. The
                             Tuesday exchange marked the latest in a
                             series of periodic swaps between the two
                             nations since the onset of the Russia-Ukraine
                             war in February 2022.


                      # ⚓ LRT ☛ Lithuania_signs_10-year_security_cooperation
                        pact_with_Ukraine⠀⇛


                             Lithuanian and Ukrainian Presidents Gitanas
                             Nausėda and Volodymyr Zelensky signed a
                             bilateral security cooperation agreement in
                             Brussels on Thursday.


                      # ⚓ RFERL ☛ Bulgarian_President_Won't_Attend_NATO Summit
                        Due_To_Differences_Over_Ukraine⠀⇛


                             Bulgarian President Rumen Radev will not lead
                             or participate in the country’s delegation to
                             the NATO summit in July, his press service
                             said on June 27.


                      # ⚓ RFERL ☛ Zelenskiy_Signs_Security_Pacts_With_EU,
                        Estonia,_Lithuania_At_Start_Of_Brussels_Summit⠀⇛


                             Ukrainian President Volodymyr Zelenskiy on
                             June 27 signed security agreements with the
                             European Union, Estonia, and Lithuania at the
                             start of a two-day EU summit in Brussels.


                      # ⚓ RFERL ☛ Kazakhstan_Says_It_Will_Not_Extradite_Suspect
                        In_Shooting_Of_Opposition_Activist_In_Kyiv⠀⇛


                             The chairman of Kazakhstan's parliament,
                             Maulen Ashimbaev, said his country will not
                             extradite to Ukraine Altai Zhaqanbaev, one of
                             two Kazakh citizens suspected of the
                             attempted murder of Kazakh opposition
                             activist and journalist Aidos Sadyqov in
                             Kyiv.


                      # ⚓ RFERL ☛ Former_Russian_Justice_Official_Gets_Lengthy
                        Prison_Term_In_Absentia_Over_Anti-War_Stance⠀⇛


                             A military court in Russia on June 27
                             sentenced a former Justice Ministry official
                             who openly condemned Russia's ongoing
                             invasion of Ukraine to 14 years in prison in
                             absentia.


                      # ⚓ RFERL ☛ Russian_Official_Says_10,000_Migrant_Workers
                        Sent_To_Fight_In_Ukraine⠀⇛


                             The chief of Russia's Investigative
                             Committee, Aleksandr Bastrykin, said on June
                             27 that about 10,000 migrant workers with
                             Russian passports have been sent to the
                             Kremlin's war in Ukraine.


                      # ⚓ CS Monitor ☛ British_and_French_elections_promise
                        dramatic_turnover._Will_aid_for_Ukraine_falter?⠀⇛


                             Two of Europe’s strongest supporters of aid
                             for Ukraine – France and Britain – are likely
                             to have new governments soon. What will that
                             mean for Kyiv?


                      # ⚓ New York Times ☛ Russian_Casualties_in_Ukraine_Mount,
                        in_a_Brutal_Style_of_Fighting⠀⇛


                             More than 1,000 Russian soldiers in Ukraine
                             were killed or wounded on average each day in
                             May, according to NATO and Western military
                             officials.


                      # ⚓ New York Times ☛ How_to_Escape_From_the_Russian
                        Army⠀⇛


                             Facing grim job prospects, a young Nepali
                             signed up to join Russia’s military, which
                             sent him to fight in Ukraine. His ordeal of
                             combat, injury and escape turned into a tale
                             worthy of Hollywood.


                      # ⚓ Defence Web ☛ Amatola_not_going_to_Russia_–_defects
                        and_lack_of_maintenance_cited⠀⇛


                             Another ambitious SA Navy (SAN) target for
                             this year will not be realised with the
                             cancellation of a St Petersburg visit by a
                             Valour Class frigate laid at the door of the
                             Armscor dockyard.


                      # ⚓ JURIST ☛ Bank_of_Italy_reports_possible_illegal
                        transactions_to_Russia⠀⇛


                             The Bank of Italy identified over 150,000
                             suspicious transaction in 2023, including
                             possible illegal transactions to
                             Russia, Financial Intelligence Unit (FIU)
                             said in its 2023 annual report posted
                             publicly on Wednesday. The FIU annual report
                             detailed the possibility of these illegal
                             transactions towards Russia.


                      # ⚓ LRT ☛ Baltics_and_Poland_ask_EU_to_build_‘defence
                        line’_along_Russia,_Belarus_border_–_media⠀⇛


                             Lithuania, Latvia, Estonia, and Poland have
                             asked the European Union to build a defence
                             line along the bloc’s 700-kilometre border
                             with Russia and Belarus, reports the Kyiv
                             Independent newspaper.


                      # ⚓ LRT ☛ Why_is_Lithuania_still_using_Russian_train
                        parts_despite_security_concerns?⠀⇛


                             Lithuanian Railways (LTG) has started
                             installing safe locomotive control systems,
                             replacing the Russian KLUB-U systems used so
                             far. The latter was identified as a security
                             threat by the parliamentary Committee on
                             National Security and Defence (NSGK) back in
                             2018. However, the problem remains in the
                             wagons, where Russian parts are used until
                             today.


                      # ⚓ RFERL ☛ Russian_Satellite_Breaks_Up_In_Space,_Forces
                        ISS_Astronauts_To_Shelter⠀⇛


                             A Russian satellite has broken up into more
                             than 100 pieces of debris in orbit, forcing
                             astronauts on the International Space Station
                             to take shelter, U.S. space agencies said.


                      # ⚓ RFERL ☛ Russian_Warrant_Issued_For_Journalist
                        Kurbangaleyeva⠀⇛


                             A Moscow court on June 27 issued an arrest
                             warrant for journalist Farida Kurbangaleyeva
                             on charges of justifying terrorism and the
                             distribution of false information about
                             Russia's military.


                      # ⚓ RFERL ☛ Media_Watchdogs_Call_On_Biden_To_Recognize
                        RFE/RL's_Kurmasheva_As_'Wrongfully_Detained'⠀⇛


                             The U.S. National Press Club and 18 other
                             media freedom groups have called on President
                             Joe Biden in a public letter to press for the
                             recognition of RFE/RL journalist Alsu
                             Kurmasheva, who has been held in a Russian
                             prison since last year, as a "wrongfully
                             detained" person.


                      # ⚓ RFERL ☛ Wildfires_Hit_600,000_Hectares_in_Eastern
                        Russia⠀⇛


                             Emergency officials in Russia's Siberian
                             region of Sakha-Yakutia said on June 27 that
                             wildfires had spread to 600,000 hectares of
                             land in the region, making it the largest
                             territory in Russia hit by wildfires at the
                             moment.


                      # ⚓ RFERL ☛ 2_Dead,_1_Missing_After_Train_Derails_In
                        Russia⠀⇛


                             Russian Railways said on June 27 that two
                             people were killed and one remained missing
                             after nine of 14 passenger cars of the
                             Vorkuta-Novorossiisk train derailed a day
                             earlier in Russia's Komi region.


                      # ⚓ JURIST ☛ ECtHR_Chamber_transfers_Afghanistan_refugee
                        case_to_Grand_Chamber⠀⇛


                             The Chamber of the European Court of Human
                             Rights (ECtHR) announced Wednesday the
                             relinquishment of its jurisdiction to the
                             Grand Chamber in a case concerning 32 Afghan
                             refugees at the Poland-Belarus border. The
                             group alleges that they were illegally pushed
                             back by Polish border guards after attempting
                             to enter Poland from Belarus.


                      # ⚓ RFERL ☛ Lukashenka_Announces_Major_Shake-Up_Of
                        Belarusian_Government⠀⇛


                             Belarusian authoritarian leader Alyaksandr
                             Lukashenka reshuffled key positions in the
                             government and presidential administration on
                             June 27.


                      # ⚓ Atlantic Council ☛ More_senior_Russian_officials_join
                        Putin_on_war_crimes_wanted_list⠀⇛


                             The International Criminal Court in The Hague
                             has this week issued arrest warrants for
                             former Russian Defense Minister Sergei Shoigu
                             and Russian army chief Valeriy Gerasimov for
                             alleged war crimes and crimes against
                             humanity committed during the invasion of
                             Ukraine, writes Andrii Mikheiev.


                      # ⚓ Atlantic Council ☛ Mercenary_meatgrinder:_The_price
                        of_Bakhmut⠀⇛


                             Host and Nonresident Senior Fellow Alia
                             Brahimi is joined by the Russian photographer
                             and journalist, David Frenkel, to consider
                             the staggering toll of the “Bakhmut
                             meatgrinder.”


                             >


          o § Transparency/Investigative Reporting⠀➾


                # ⚓ Latvia ☛ Whistleblowing_initiative_complete,_says_KNAB⠀⇛


                       The Corruption Prevention and Combating Bureau
                       (KNAB) said June 26 it has concluded a more than
                       three-year-long project called “Support for the
                       establishment of a whistle-blowing system in
                       Latvia” that was co-financed by the European
                       Economic Area (EEA) grant program.


                # ⚓ New York Times ☛ Julian_Assange’s_Polarizing_Legacy:_From
                  Hacker_to_Hunted_Figure⠀⇛


                       The co-founder of WikiLeaks was a heroic crusader
                       for truth to many people for publishing government
                       secrets. To others, he was a reckless leaker
                       endangering lives.


          o § Environment⠀➾


                # § Energy/Transportation⠀➾


                      # ⚓ DeSmog ☛ Exxon’s_Imperial_Deletes_CEO_Claim_That_CCS
                        Is_‘Critical’_to_Paris_Climate_Goals⠀⇛


                      # ⚓ DeSmog ☛ Advertising’s_Top_Prizes_for
                        ‘Sustainability’_Go_to_Agencies_With_Polluting
                        Clients⠀⇛


                      # ⚓ DeSmog ☛ Why_Colorado’s_Celebrated_Oil_Well_Cleanup
                        Reforms_Face_a_$3_Billion_Shortfall⠀⇛


                      # ⚓ DeSmog ☛ The_Missing_Inner_Dimension_of_System
                        Change⠀⇛


                      # ⚓ DeSmog ☛ A_‘Carbon_Sucking’_Mural?_Campaigns_for_Big
                        Oil?_Global_Ad_Agency_Dentsu_Does_Both⠀⇛


                      # ⚓ DeSmog ☛ The_Five_Top_Misleading_Climate_Claims_of
                        the_2024_UK_Election_Campaign⠀⇛


                # § Wildlife/Nature⠀➾


                      # ⚓ New York Times ☛ The_Etiquette_of_Remembering_Your
                        Friend’s_Pet’s_Name⠀⇛


                             At a barbershop in Colorado, stylists and
                             customers discussed a matter of social
                             protocol.


                      # ⚓ Science Alert ☛ World_First:_Scientists_Make_Live
                        Rhino_Horns_Radioactive_to_Fight_Poaching_in_South
                        Africa⠀⇛


                             "This is the best idea I've ever heard."


          o § Finance⠀➾


                # ⚓ RFA ☛ US_diplomats:_Budget_cuts_would_be_‘devastating’_and
                  ‘deadly’⠀⇛


                       The proposed cuts to the State Department’s budget
                       come as China ramps up its diplomatic presence.


                # ⚓ BIA Net ☛ No_mid-year_minimum_wage_increase_on_Turkey's
                  agenda⠀⇛


                       The government has ruled out a rise. Economists
                       oppose the assumption that an increase would have
                       excerbated the inflation problem.


                # ⚓ LRT ☛ Lithuanian_president_appoints_new_ministers_for
                  education_and_social_security⠀⇛


                       Lithuanian President Gitanas Nausėda on Thursday
                       appointed MP Radvilė Morkūnaitė-Mikulėnienė as the
                       country’s minister for education, science and
                       sport, while Vytautas Šilinskas, currently a deputy
                       minister, will be the new minister of social
                       security and labour.


                # ⚓ JURIST ☛ Shopee_agrees_to_adjust_courier_service_practices
                  after_admitting_to_violating_Indonesia_competition_law⠀⇛


                       Indonesia’s antitrust agency announced Wednesday
                       that e-commerce giant Shopee and its courier
                       service, Shopee Express, will make adjustments to
                       its courier service practices in Indonesia after
                       admitting to violating Indonesian competition laws.


          o § AstroTurf/Lobbying/Politics⠀➾


                # ⚓ Mexico News Daily ☛ Claudia_Sheinbaum_names_another_5
                  members_of_her_cabinet⠀⇛


                       The president-elect presented her ministers of
                       energy, health, urban development, public
                       administration and infrastructure and transport on
                       Thursday.


                # ⚓ RFA ☛ China's_Communist_Party_expels_ex-defense_chief,
                  predecessor_in_graft_probe⠀⇛


                       Li Shangfu and Wei Fenghe were both accused of
                       causing 'enormous damage' to the party and
                       military.


                # ⚓ Hong Kong Free Press ☛ China_announces_mid-July_dates_for
                  key_political_meeting_during_which_economy_will_be_in_focus⠀⇛


                       China will hold a key political meeting
                       historically watched for signals on economic
                       direction in mid-July, state media reported
                       Thursday, as policymakers seek to shore up the
                       country’s stuttering recovery.


                # ⚓ Hong Kong Free Press ☛ Taiwan’s_defence_ministry_detects_35
                  Chinese_military_aircraft_around_island_in_24-hour_window⠀⇛


                       Taiwan’s defence ministry said Thursday it had
                       detected 35 Chinese military aircraft around the
                       island in a 24-hour window. China claims Taiwan as
                       part of its territory and has said it will never
                       renounce the use of force to bring the self-ruled
                       democracy under its control.


                # ⚓ Mexico News Daily ☛ Marcelo_Ebrard_talks_trade,_nearshoring
                  and_US-Mexico_relations_in_La_Jornada_interview⠀⇛


                       Mexico's next economy minister said the United
                       States will "need Mexico to be able to compete with
                       China" in an interview with La Jornada newspaper.


                # ⚓ Press Gazette ☛ General_election_2024_press_endorsements:
                  Economist_endorses_Labour_for_first_time_since_2005⠀⇛


                # ⚓ Reason ☛ Trent_Horn:_Can_a_Catholic_be_a_Socialist?⠀⇛


                       Catholic Answers apologist Trent Horn explores the
                       nexus of Catholic social teaching and
                       libertarianism.


                # ⚓ New York Times ☛ How_a_Tiny_Circle_of_Advisers_Helped_Prod
                  Macron_to_Call_France’s_Snap_Election⠀⇛


                       President Emmanuel Macron’s governing style has
                       always been intensely top-down. But with far-right
                       nationalists in France closing in on power, some
                       believe he may have gone too far this time.


                # ⚓ Latvia ☛ Saeima_spring_session_statistics⠀⇛


                       In the spring session of the 14th Saeima, which
                       ran from April 8 to June 21 of this year, 86 laws
                       were adopted, consisting of seven completely new
                       laws and 79 cases of amendments to existing laws,
                       according to data published June 26.


          o § Censorship/Free Speech⠀➾


                # ⚓ The Straits Times ☛ North_Koreans_executed_for_sharing_K-
                  pop,_films:_Seoul⠀⇛


                       The Kim Jong-un regime banned white wedding
                       dresses, sunglasses, drinking alcohol from wine
                       glasses, defectors say.


                # ⚓ RFA ☛ Hong_Kong_officials_want_louder_singing_of_national
                  anthem_in_schools⠀⇛


                       Report sparks backlash for telling schools for kids
                       with learning disabilities to boost patriotic
                       education.


                # ⚓ Press Gazette ☛ ‘Enemies_of_accurate,_prescient
                  journalism?’_Geordie_Greig_hits_out_at_Mail_and_Telegraph⠀⇛


                       Greig suggested that giving negative coverage to
                       the Tories cost him his Mail editorship.


                # ⚓ AccessNow ☛ Worse_than_China_or_Iran?_Myanmar’s_dangerous
                  VPN_ban⠀⇛


                       Myanmar's VPN ban, imposed by the military junta,
                       is preventing people from safely accessing blocked
                       apps and websites.


                # ⚓ Reason ☛ Two_Excellent_Opinions_in_Murthy_v._Missouri⠀⇛


                       Justice Barrett's majority opinion reaches the
                       right outcome; Justice Alito's dissent publicizes
                       the atrocious mistreatment of Facebook (Farcebook)
                       by the Biden Administration during Covid.


                # ⚓ Press Gazette ☛ Harry_ordered_to_explain_loss_of_messages
                  with_ghostwriter_that_may_be_relevant_to_Sun_legal_case⠀⇛


                       Court hears Harry was dragged "kicking and
                       screaming" into letting his personal emails be
                       examined for evidence.


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


                # ⚓ Press Gazette ☛ Health_Service_Journal_sold_by_Wilmington
                  to_private_equity_firm_in_£26m_deal⠀⇛


                       HSJ has been owned by Wilmington since 2017.


                # ⚓ Press Gazette ☛ Less_on_polls,_more_policy_please_says_5
                  News_political_editor_Andy_Bell⠀⇛


                       Bell says opinion polls are driving the news agenda
                       too much.


          o § Civil Rights/Policing⠀➾


                # ⚓ OpenRightsGroup ☛ 37_organisations_ask_parliamentary
                  candidates_to_use_respectful_language_about_migrants⠀⇛


                       Human rights, migrant and justice rights
                       organisations have written to all parliamentary
                       candidates asking them to use humanising and
                       respectful language when talking about migrants and
                       refugees.


                # ⚓ Reason ☛ Wisconsin_S._Ct._Overturns_Injunction_Restricting
                  Abortion_Protester's_Speech_to_Abortion_Clinic_Employee⠀⇛


                # ⚓ Defence Web ☛ Kenya_protests:_Ruto_pulling_the_finance_bill
                  is_unlikely_to_satisfy_angry_young_protesters_–_here’s_why⠀⇛


                       In a move that shocked observers, Kenya’s President
                       William Ruto announced on 26 June he was
                       withdrawing his government’s highly controversial
                       finance bill that proposed to raise US$2.7 billion
                       in additional taxes.


                # ⚓ Zimbabwe ☛ The_internet_mysteriously_went_down_during
                  Kenyan_protests,_did_Starlink_provide_refuge?⠀⇛


                       Here’s the news: the sky is blue. And in equally
                       shocking news, in yet another African country, the
                       internet mysteriously goes down in the midst of
                       protests.


                # ⚓ JURIST ☛ ACLU_asks_US_Supreme_Court_to_overturn_convictions
                  of_protestors_for_alleged_obstruction_of_public_street⠀⇛


                       The American Civil Liberties Union (ACLU) of Texas
                       and the ACLU petitioned the US Supreme Court to
                       overturn the decision of the Texas 7th Court of
                       Appeals, which affirmed the conviction of three
                       residents of Gainesville, Texas for the alleged
                       “obstruction of a highway or other passageway”
                       during a protest, the groups announced Tuesday.


                # ⚓ The Straits Times ☛ Jeju_police_enforce_laws,_issue_on-site
                  fines_to_foreign_tourists⠀⇛


                       The increased police enforcement follows recent
                       online posts showing misdemeanours such as
                       littering.


                # ⚓ JURIST ☛ New_Zealand_government_re-introduces_three-strikes
                  sentencing_law_amidst_human_rights_controversies⠀⇛


                       The New Zealand government passed on Tuesday the
                       first reading of the Sentencing (Reinstating Three
                       Strikes) Amendment Bill in the parliament.
                       Associate justice minister Nicoke McKEE promised a
                       “more workable” regime that avoids unjust outcomes
                       despite concerns from Ministry of Justice officials
                       that the proposed legislation may be inconsistent
                       with international obligations.


                # ⚓ JURIST ☛ US_president_pardons_LGBTQI+_military_veterans’
                  convictions_of_now-repealed_discriminatory_laws⠀⇛


                       US President Biden on Wednesday pardoned American
                       veterans who were forced out of the military
                       because of their sexual orientation or gender
                       identity under a military code for more than 60
                       years.


                # ⚓ Reason ☛ He_Faced_a_Terrorism_Probe,_Went_to_Jail_on_a_Gun
                  Charge,_and_Now_Is_Charged_With_Drug_Possession⠀⇛


                       Although the FBI never produced evidence that Ali
                       Hemani was a threat to national security, it seems
                       determined to imprison him by any means necessary.


          o § Internet Policy/Net Neutrality⠀➾


                # ⚓ Jonathan_McDowell:_Sorting_out_backup_internet_#4:_IPv6⠀⇛


                       The final piece of my 5G_(well,_4G)_based based
                       backup internet connection I needed to sort out was
                       IPv6. While Three do support IPv6 in their network
                       they only seem to enable it for certain devices,
                       and the MC7010 is not one of those devices, even
                       though it also supports IPv6.


                # ⚓ Tom's Hardware ☛ Japan_achieves_staggering_402_Tb/s_data
                  rate_with_commercial_optical_fiber_—_record-breaking
                  performance_tapped_into_unused_wavelength_bands⠀⇛


                       With collaboration between three research
                       institutes, researchers found a way to utilize
                       current fiber optic and internet infrastructure to
                       achieve up to 402 Tb/s data rate by simply
                       switching to new bandwidth leveraging widely used
                       amplifiers.


      § Monopolies/Monopsonies⠀➾


          o § Patents⠀➾


                # ⚓ Dennis Crouch/Patently-O ☛ Pending_IP_Cert_Petitions_at_the
                  Supreme_Court⠀⇛


                       As the Supreme Court’s 2023 year draws to a close,
                       the court has denied certiorari in the vast
                       majority of IP related cases, with the Dewberry
                       trademark damages case left as the only IP case
                       granted certiorari.  Seven petitions remain
                       undecided and the court will pick them up again
                       when it begins the 2024 term in late September. 
                       This post briefly reviews these cases. I’m listing
                       some cases that I have not previously discussed
                       first.


                # ⚓ New_Case-Assignment_Order_Marks_Next_Step_in_Curbing_Judge
                  Shopping_in_Texas⠀⇛


                       Late last month, Chief U.S. District Judge for the
                       Western District of Texas Alia Moses announced a
                       new order to distribute patent monopoly cases
                       randomly across the district, while raising the bar
                       for plaintiffs seeking to try their cases in venues
                       where they previously filed “related cases.”


                # § Kangaroo Courts⠀➾


                      # ⚓ JUVE ☛ Reed_Smith_patent_monopoly_team_joins_Gowling
                        WLG [Ed: Pure spam or ad for SEO disguised as news;
                        this is how JUVE makes money: spam and fake news for
                        UPC, which is illegal and unconstitutional]⠀⇛


                             Marianne Schaffner, a well-known patent
                             monopoly litigator in France, rose from
                             associate to partner at Linklaters in 2006.
                             After spells at Dentons, Dechert and most
                             recently Reed Smith, she has now returned to
                             a UK law firm, Gowling WLG. She joins
                             Gowling’s Paris-based patent monopoly team
                             along with associates Mathilde Grammont and
                             Charlotte Chambon.


                      # ⚓ Kluwer Patent Blog ☛ The_UPC_PI_Annual [Ed: The UPC
                        is illegal and unconstitutional]⠀⇛


                             It has been about a year since the UPC issued
                             its first PI decision, making it a good time
                             to reflect on the case law created so far.


          o § Trademarks⠀➾


                # ⚓ TTAB Blog ☛ TTABlog_Test:_Is_HOLLYWOOD_COFFEE_CO._for
                  Retail_Store_Services_Confusable_with_HOLLYWOOD_CAFÉ_for
                  Restaurant_Services?⠀⇛


                       The USPTO refused to register the mark HOLLYWOOOD
                       COFFEE CO. for "Retail store services featuring
                       packaged coffee and packaged foods" [COFFEE CO.
                       disclaimed], finding confusion likely with the
                       registered mark HOLLYWOOD CAFÉ, in standard
                       character form, for "Mobile restaurant services;
                       restaurant and café services; restaurant services
                       featuring coffee, coffee products, other hot and
                       cold beverages, desserts, pastries and snacks"
                       [CAFÉ disclaimed]. There must be a lot of
                       "Hollywood" marks, right? How do you think this
                       came out? In_re_USA_Innovations,_Inc., Serial No.
                       97441814 (June 25, 2024) [not precedential]
                       (Opinion by Judge Cindy B. Greenbaum).


          o § Copyrights⠀➾


                # ⚓ Michael Geist ☛ Virani’s_Failed_Human_Rights_Commission
                  Choice:_Why_the_Dattani_Appointment_Irreparably_Harms_both
                  the_Commission_and_Bill_C-63⠀⇛


                       Justice Minister Arif Virani and the federal
                       government spent years crafting Bill C-63, the
                       Online Harms Act. After facing widespread criticism
                       on the initial plans in 2021, the government
                       consulted extensively before tabling a revised bill
                       in February 2024 that ditched much of its previous
                       thinking in favour of a more flexible “duty to act
                       responsibly” for Internet platforms.


                # ⚓ MIT Technology Review ☛ Training_Hey_Hi_(AI)_music_models
                  is_about_to_get_very_expensive⠀⇛


                       AI music is suddenly in a make-or-break moment. On
                       June 24, Suno and Udio, two leading Hey Hi (AI)
                       music startups that make tools to generate complete
                       songs from a prompt in seconds, were sued by major
                       record labels.


                # ⚓ Digital Music News ☛ YouTube_Reportedly_in_Active_AI-
                  Related_Discussions_with_UMG,_WMG,_Sony_Music⠀⇛


                       YouTube is reportedly in talks with major record
                       labels to license their songs to legally train Hey
                       Hi (AI) song generators. The Google-owned video
                       platform desperately needs record labels’ consent
                       to legally train Hey Hi (AI) song generators, as
                       YouTube prepares to launch new tools this year.





                    ䷩ 𝚕𝚒𝚗𝚎 6210

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Links 28/06/2024: More Attacks on the
Press, More Censorship in Russia⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jun 28, 2024


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


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


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


          o ⚓ International Business Times ☛ How_To_Become_A_Virtual_Assistant
            With_No_Experience_In_6_Steps_And_Earn_Up_To_$10K_Monthly⠀⇛


                 In her new role, Lauriel enjoys the flexibility to work
                 from home or while travelling, the freedom to choose her
                 clients, and a consistent monthly income of around
                 $10,000. Lauriel is part of a growing number of burnt-out
                 workers who have left the traditional 9-5 grind for the
                 world of virtual assistance.


          o ⚓ Robert Birming ☛ Go_your_own_way_|_Robert_Birming⠀⇛


                 So true. We will never be able to please everyone. And if
                 we try, we'll end up living an unfulfilled and unhappy
                 life. Living a lie.


          o ⚓ Lou Plummer ☛ Me_and_the_Box_|_Living_Out_Loud⠀⇛


                 My first memory of television is from July of 1969 - Neil
                 Armstrong, Apollo 11 and the moon landing. I remember the
                 adults in the house being awed and excited but not much
                 more beyond that. Most of my early TV memories are of
                 stuff the grownups watched, not kid shows. Walter
                 Cronkite used to give the Vietnam box score at the end of
                 every evening's broadcast, listing how many Americans
                 were killed, captured and wounded each day. We didn't
                 watch the news at home but at my grandparent's house it
                 was always on.


          o ⚓ Andy Bell ☛ The_time_for_designers_to_learn_to_code_is_now⠀⇛


                 Following that, I got the CSS bug and over a decade or
                 so, very much focused my attention on what the language
                 could achieve in a design lens. Of course I picked up
                 other stuff — y’know, WordPress, React, yada yada — but
                 truly understanding how HTML and CSS worked unlocked my
                 ability to create actually user-friendly interfaces.


                 That’s our job as designers. It’s not to pontificate over
                 design tools and their ever expanding features; it’s to
                 design things for people.


          o ⚓ Gabriel ☛ Gabz/mL_·_Why_I_Blog.⠀⇛


                 Fast-forward to 2024


                 I think to this day some of the reasons I blog, are still
                 somewhat the same. It has definitely evolved with time, I
                 think, or the reason is more clear now than it was back
                 then.


                 Why do I Blog?


          o ⚓ RIPE ☛ A_Click_Away_-_Improving_Navigation_on_ripe.net⠀⇛


                 For the past year, we’ve focused on improving the user
                 experience of www.ripe.net. Our initial efforts were
                 centred around the website redesign and technical
                 developments, such as improving the effectiveness of our
                 search functionality, as outlined in previous RIPE Labs
                 articles. Along with these efforts, we also plan to
                 rearrange the navigation menus to make content easier to
                 find.


          o ⚓ Matt Webb ☛ Karma_as_ancient_progress_studies_(Interconnected)⠀⇛


                 It’s interesting to look at karma with this lens: an
                 explanatory framework for progress.


          o § Science⠀➾


                # ⚓ Wired ☛ NASA_Desperately_Needs_New_Spacesuits._Private
                  Firms_Are_Struggling_to_Make_Them⠀⇛


                       The two winning teams were led by Collins Aerospace
                       and Axiom Space, respectively. They were eligible
                       for task orders worth up to $3.5 billion—in essence
                       NASA would rent the use of these suits for a couple
                       of decades. Since then, NASA has designated Axiom
                       to work primarily on a suit for the Moon and the
                       Artemis Program, and Collins with developing a suit
                       for operations in-orbit, such as space station
                       servicing.


                # ⚓ Science Alert ☛ Never-Before-Seen_Trilobite_Anatomy
                  Preserved_by_Pompeii-Like_Ash_in_Morocco⠀⇛


                       An explosive volcanic eruption that took place in
                       prehistory is one of them. As the ash from a
                       pyroclastic flow during the Cambrian age was dumped
                       on a shallow marine environment, its population of
                       ancient arthropods called trilobites were preserved
                       almost instantly – including any soft tissues that
                       are normally degraded or destroyed during other
                       fossilization processes.


                       Now, hundreds of millions of years later, those
                       unfortunate animals have given us an unprecedented
                       record of their three-dimensional anatomy, along
                       with any smaller creatures that happened to be
                       clinging to their bodies at the time.


                # ⚓ The Register UK ☛ Elon_Musk_to_destroy_the_ISS,_with_NASA's
                  approval⠀⇛


                       After SpaceX builds the "deorbit vehicle," NASA
                       will take ownership of it and operate it.


                # ⚓ The Conversation ☛ US_military_project_aims_to_prevent
                  hackers_targeting_satellites_and_recognises_rising_threat_of
                  cyberattacks_in_space⠀⇛


                       As space becomes more important to the world’s
                       critical infrastructure, the risk increases that
                       hostile nation states will deploy cyber attacks on
                       important satellites and other space
                       infrastructure. Targets would include spy
                       satellites or military communications satellites,
                       but commercial spacecraft too.


                       The US Department of Defense believes its new
                       partnership, called Commercial Augmentation Space
                       Reserve (CASR), would enhance US national security
                       and the country’s competitive advantage in space.
                       It would go some way beyond the relationship
                       between government and private contractor that
                       already exists.


          o § Education⠀➾


                # ⚓ Arduino ☛ Why_is_STEAM_education_important_for_kids?_6
                  activity_tips⠀⇛


                       School’s out for summer – at least for most of us.
                       While the majority of children (and teachers!) will
                       probably be breathing a huge sigh of relief,
                       parents face a new challenge: how to keep kids
                       engaged during the long break. Of course, downtime
                       is important, but there are also loads of fun ways
                       to keep those brains fired up and prevent the
                       summer slide.


                       As we explain in this article, incorporating STEAM
                       education (Science, Technology, Engineering, Arts,
                       and Mathematics) into your child’s summer routine
                       is a great place to start. Read on for our top tips
                       for success, along with some interesting summer
                       STEAM activities to try at home.


                # ⚓ University of Michigan ☛ U-M_researchers_suggest_end-of-
                  alphabet_last_names_receive_lower_grades⠀⇛


                       “In our paper, we argued that the potential bias we
                       observed is caused by a mechanism called fatigue,”
                       Wang said. “When graders have too much of a
                       workload and too many students, they develop this
                       fatigue, they get distracted and they will perform
                       worse and worse with more and more. Given this
                       mechanism, it would be great if we can reasonably
                       control the workload of each grader and give them
                       behavioral nudges to take rests, maybe every five
                       minutes when they work more than 40 to 45 minutes
                       or so.”


                # ⚓ Dan Slimmon ☛ Leading_incidents_when_you’re_junior⠀⇛


                       If you’re a junior engineer at a software company,
                       you might be required to be on call for the systems
                       your team owns. Which means you’ll eventually be
                       called upon to lead an incident response. And since
                       incidents don’t care what your org chart looks
                       like, fate may place you in charge of your seniors;
                       even your boss!


                # ⚓ Haskell For All ☛ Haskell_for_all:_My_spiciest_take_on_tech
                  hiring⠀⇛


                       My spiciest take on tech hiring


                       … is that you only need to administer one technical
                       interview and one non-technical interview (each no
                       more than an hour long).


                       In my opinion, any interview process longer than
                       that is not only unnecessary but counterproductive.


                       Obviously, this streamlined interview process is
                       easier and less time-consuming to administer, but
                       there are other benefits that might not be obvious.


          o § Hardware⠀➾


                # ⚓ AnandTech ☛ NVIDIA's_AD102_GPU_Pops_Up_in_MSI_GeForce_RTX
                  4070_Ti_Super_Cards⠀⇛


                       Meanwhile, MSI is apparently not the only video
                       card manufacturer using salvaged AD102 chips for
                       GeForce RTX 4070 Ti Super, either. @wxnod has also
                       posted a screenshot obtained on an Inno3D GeForce
                       RTX 4070 Ti Super based on an AD102 GPU.


                # ⚓ El País ☛ Is_the_mobile_phone_starting_to_die?⠀⇛


                       There is also a fact: fewer phones are being sold.
                       “People are still buying smartphones, I’m not
                       saying that suddenly no one uses mobile phones, but
                       the numbers are going down,” stresses Amy Webb, CEO
                       of the Future Today Institute, an advisory firm
                       that helps companies detect technological trends.
                       This consultancy decreed in 2017 that the beginning
                       of the end of the smartphone had begun, as sales
                       had stagnated (we all already have a mobile phone,
                       this market is not going to grow anymore). Although
                       the figures have never returned to the previous
                       days of bonanza, “if we think about the next
                       decade, instead of using just a phone there will be
                       many different devices. And these devices will
                       replace the smartphone. This has already started to
                       happen.” The era of the human who is permanently
                       crouched over a rectangle, the days of faces
                       illuminated by the blue light of a screen, the
                       times of two thumbs moving at the speed of light on
                       a protective plastic are on their way out.


                # ⚓ Michigan News ☛ Thief_steals_copper_coils_from_roller_rink,
                  killing_A/C_during_heat_wave⠀⇛


                       Rollerworld owners discovered the air conditioning
                       wasn’t working on the morning of Friday, June 21,
                       when they realized they could not control the
                       temperature at the rink on their phone app, owner
                       Amy Wright said.


          o § Health/Nutrition/Agriculture⠀➾


                # ⚓ US News And World Report ☛ Magic_Mushroom's_Psilocybin_Is
                  America's_Most_Popular_Hallucinogen⠀⇛


                       But attention to public policy changes hasn't kept
                       pace, the report added. It said the choice facing
                       federal regulators is whether or not psychedelics
                       should follow cannabis' for-profit path.


                       "The current situation with psychedelics reminds me
                       of where we were with cannabis policy 12 years
                       ago," Kilmer said. "Now is the time for federal
                       policymakers to decide if they want to shape these
                       policy changes or stay on the sidelines."


                # ⚓ teleSUR ☛ Namibia:_New_Desalination_Plant_to_Be
                  Constructed,_Rising_Water_Demand⠀⇛


                       Currently, the region relies on groundwater
                       aquifers from the Omaruru Delta and Kuiseb Delta,
                       alongside desalinated water from the Orano
                       desalination plant, interconnected by a network of
                       pump stations, pipelines, and reservoirs.


                       Namibia approves 20 million cubic metres
                       desalination plant at Henties Bay


          o § Proprietary/Artificial Intelligence (AI)⠀➾


                # ⚓ The Register UK ☛ Anthropic_unleashes_Claude_models_for_US
                  government⠀⇛


                       And of course even with lofty motives, Anthropic is
                       not fundamentally different from Google and OpenAI
                       partner Microsoft – each keen to sell Secure AI in
                       Google Cloud and Azure OpenAI Service in Azure
                       Government respectively – not to mention AWS now
                       with added Claude. For all players, the point is
                       billable AI first, responsible machine learning a
                       little lower down the list.


                # ⚓ Scoop News Group ☛ How_the_CIA_is_using_generative_AI_—_now
                  and_into_the_future⠀⇛


                       The CIA has been using AI for things like content
                       triage and “things in the human language technology
                       space — translation, transcription — all the types
                       of processing that need to happen in order to help
                       our analysts go through that data very quickly” as
                       far back as 2012, when the agency hired its first
                       data scientists, Lakshmi Raman, the CIA’s director
                       of AI, said during an on-stage keynote interview at
                       the Amazon Web Services Summit on Wednesday in
                       Washington, D.C.


                # ⚓ Cyble Inc ☛ OpenAI_Delays_Voice_Mode_Rollout_To_July_Over
                  Safety_Issues⠀⇛


                       Experts are raising eyebrows after OpenAI announced
                       a one-month delay in the rollout of its highly
                       anticipated “Voice Mode” feature for ChatGPT,
                       citing safety concerns. The company said it needs
                       more time to ensure the model can “detect and
                       refuse certain content.”


                # ⚓ Wired ☛ Deepfakes_Are_Evolving._This_Company_Wants_to_Catch
                  Them_All⠀⇛


                       Impersonating a real person on a live video feed is
                       just one example of the kind of reality-melting
                       trickery now possible thanks to AI. Large language
                       models can convincingly mimic a real person in
                       online chat, while short videos can be generated by
                       tools like OpenAI’s Sora. Impressive AI advances in
                       recent years have made deepfakery more convincing
                       and more accessible. Free software makes it easy to
                       hone deepfakery skills, and easily accessible AI
                       tools can turn text prompts into realistic-looking
                       photographs and videos.


                # ⚓ Cyble Inc ☛ Apple_AirPods_Firmware_Update_Fixes_Bluetooth
                  Security_Flaw⠀⇛


                       Apple has taken steps to enhance the security of
                       its popular AirPods lineup by addressing a critical
                       Bluetooth vulnerability through a new firmware
                       update. This AirPods firmware update, identified as
                       Firmware 6A326 and 6F8, is aimed at several models
                       including AirPods, AirPods Pro, AirPods Max,
                       Powerbeats Pro, and Beats Fit Pro.


                       The AirPods vulnerability tracked as CVE-2024-27867
                       and discovered by Jonas Dreßler, posed a potential
                       risk where attackers within Bluetooth range could
                       spoof a user’s device and gain unauthorized access
                       to their AirPods. This issue highlights the
                       importance of timely updates to protect Apple
                       devices from cyberattacks.


                # ⚓ Cyble Inc ☛ Polyfill_Supply_Chain_Attack_Potentially
                  Affected_'Tens_Of_Millions'_Of_Websites⠀⇛


                       Claims, counterclaims, website shutdowns,
                       redirections and DDoS attacks were among the
                       highlights (or lowlights) as news of the Polyfill
                       supply chain attack entered its second day.


                       After Polyfill(.)io was shut down by registrar
                       Namecheap, the allegedly compromised JavaScript CDN
                       service relaunched at Polyfill(.)com, and claimed
                       it had been “maliciously defamed.”


                # ⚓ Press Gazette ☛ What_happened_when_British_GQ_stopped
                  trying_to_'feed_the_algorithm'⠀⇛


                       British GQ has slowed things down and stopped
                       trying to “feed the algorithm”.


                       GQ‘s European director of audience development,
                       analytics and social, Neha-Tamara Patel, joined in
                       July 2022 and told Press Gazette about a strategy
                       shift that has seen the legacy men’s lifestyle
                       brand move away from quick wins towards more
                       considered content with the aim of a more engaged
                       core audience.


                       She said: “It was apparent to me that we were doing
                       a lot of what I call ‘feeding the algorithm
                       content’: lots of short-form news, a lot of quick
                       fashion news, all of which was still within GQ’s
                       world but from an audience perspective wasn’t
                       really serving us long term.


                # ⚓ 404 Media ☛ Researchers_Prove_Rabbit_AI_Breach_By_Sending
                  Email_to_Us_as_Admin⠀⇛


                       Members of a community focused on jailbreaking and
                       reverse engineering the Rabbit R1 AI assistant
                       device say that Rabbit left critical API keys
                       hardcoded and exposed in its code, which would have
                       allowed them to see and download “all r1 responses
                       ever given.” The API access would have allowed a
                       hacker to use various services, including text-to-
                       speech services and email sending services, as if
                       they were the company. To verify their access, the
                       researchers sent 404 Media emails from internal
                       admin email addresses used by the Rabbit device and
                       the Rabbit team.


                # ⚓ Six Colors ☛ Preparing_for_the_era_of_orchestrated_apps⠀⇛


                       Over the next few years you’re going to be hearing
                       a lot more about a concept that Apple started to
                       discuss at WWDC this year: orchestration. Broadly,
                       the idea is that the machine-learning models on
                       your Apple devices are going to be able to
                       understand what you want to do, based on your
                       commands and current context, and make it happen by
                       using the combined resources of your device’s
                       system software and third-party apps.


                # ⚓ NYPost ☛ AI-generated_video_of_Justin_Timberlake_drinking
                  beer_shocks_fans⠀⇛


                       An eerie AI-generated video of Justin Timberlake
                       chugging a beer in his now infamous mugshot is
                       making the rounds on social media — leaving many
                       fans shocked over how “convincing” is it.


                # ⚓ El País ☛ How_Google_will_change_with_AI,_according_to_SEO
                  experts⠀⇛


                       The change has not reached Spain or Europe, and
                       there is no timeline for when AI Overviews will be
                       available. But there is a group of Spaniards who
                       are waiting anxiously to see how the changes will
                       work: SEO experts, the workers who try to improve
                       their clients’ page ranking. How will they do their
                       job if Google no longer offers links and directly
                       gives answers? Will their job disappear?


          o § Security⠀➾


                # § Privacy/Surveillance⠀➾


                      # ⚓ The Record ☛ Law_enforcement_searches_of_Clearview_AI
                        facial_recognition_doubled_in_past_year⠀⇛


                             The number of facial recognition searches law
                             enforcement conducted via controversial
                             Clearview AI technology doubled to 2 million
                             over the past year, the company said
                             Thursday.


                      # ⚓ [Old] The Washington Post ☛ Police_in_Austin,_San
                        Francisco_skirt_facial_recognition_ban⠀⇛


                             A spokeswoman for the Austin Police
                             Department said these uses of facial
                             recognition were never authorized by
                             department or city officials. She said the
                             department would review the cases for
                             potential violations of city rules.


                      # ⚓ [Old] Time ☛ Ukraine's_'Secret_Weapon'_Against_Russia
                        Is_Clearview_AI⠀⇛


                             In the ongoing war against Russia, Clearview
                             has become the Ukrainian government’s “secret
                             weapon,” Tymchenko says. More than 1,500
                             officials across 18 Ukrainian government
                             agencies are using the facial-recognition
                             tool, which has helped them identify more
                             than 230,000 Russian soldiers and officials
                             who have participated in the military
                             invasion. Ukraine's use of Clearview has
                             rapidly expanded beyond identifying Russian
                             troops on their soil. The nation has come to
                             rely on the private U.S. tech company, which
                             has just 35 employees, to assist with a vast
                             range of wartime tasks, many of which have
                             not been previously reported, according to
                             interviews with officials from half a dozen
                             government agencies, law-enforcement
                             officers, Ukrainian analysts, and Clearview
                             executives.


                      # ⚓ Ben Frain ☛ Seriously,_use_icon_fonts⠀⇛


                             With an icon font the designers and the
                             developers have the same flexible asset. Pick
                             the font, paste in the relevant glyph and the
                             size you set the asset in the graphics editor
                             is the size it will end up in the code. Let
                             me re-iterate that point as it’s an amazing
                             benefit of using an icon font. Icomoon has a
                             beautiful feature and I’ll provide a direct
                             quote here from their docs that explains
                             this:


                      # ⚓ The Kent Stater ☛ Flash_Bistro_upgrades_with_Amazon
                        Just_Walk_Out_technology⠀⇛


                             But it is possible. Flash Bistro in the
                             Student Center recently underwent a
                             renovation, outfitting the store with
                             Amazon’s Just Walk Out technology.


                             Now, customers only need an Amazon One palm
                             print, tap of a credit card or a Flashcard to
                             make purchases. As they walk through the
                             store, they grab items they want and leave.
                             There are no cashiers or self-checkouts.


                      # ⚓ 404 Media ☛ ID_Verification_Service_for_TikTok,_Uber,
                        X_Exposed_Driver_Licenses⠀⇛


                             The Israel-based company, called AU10TIX,
                             offers what it describes on its website as
                             “full-service identity verification
                             solutions.” This includes verifying peoples’
                             identity documents, conducting “liveness
                             detection” in a real-time video stream with
                             the user, and performing age verification,
                             where a service will predict how old someone
                             is based on their uploaded photo. AU10TIX
                             also includes the logos of other companies on
                             its site, such as Fiverr, PayPal, Coinbase,
                             LinkedIn, and Upwork, some of which confirmed
                             to 404 Media they are active or former
                             AU10TIX clients.


                      # ⚓ Unmitigated Risk ☛ Balancing_Innovation_and_Privacy:
                        The_Risk_of_Government_Surveillance_in_the_Age_of_AI⠀⇛


                             Imagine a world where every conversation,
                             every movement, and every interaction is
                             tracked in real-time by unseen eyes. This
                             isn’t the plot of a dystopian novel—it’s a
                             very real possibility enabled by today’s
                             rapid technological advancements. As we
                             develop and deploy powerful new tools, and
                             maintain the ones that we built the internet
                             on, the line between technology that makes
                             our lives easier and invasive surveillance
                             becomes increasingly blurred.


                      # ⚓ [Old] CNN ☛ Microsoft_defends_its_right_to_read_your
                        email⠀⇛


                             Although the move could be perceived as a
                             breach of trust, Microsoft says it's allowed
                             to make such unilateral decisions. It pointed
                             to its terms of service: When you use
                             Microsoft communication products -- Outlook,
                             Hotmail, Windows Live -- you agree to "this
                             type of review ... in the most exceptional
                             circumstances," Frank wrote.


                      # ⚓ [Old] The Guardian UK ☛ Microsoft_tightens_privacy
                        policy_after_admitting_to_reading_journalist's_emails⠀⇛


                             The new rules prevent the company from
                             snooping on customers’ communications without
                             first convincing two legal teams, independent
                             of the internal investigation, that they have
                             evidence sufficient to obtain a court order
                             were one applicable.


                             The company did not apologise for the search.


                # § Confidentiality⠀➾


                      # ⚓ Unmitigated Risk ☛ Why_We_Trust_WebPKI_Root
                        Certificate_Authorities⠀⇛


                             In contrast, “standards” in WebPKI encompass
                             community norms, best practices, and
                             recommendations specific to each root
                             program. These standards are adaptable,
                             evolving with technological advancements,
                             security threats, and collective learning
                             among CAs. They provide a framework that
                             upholds the integrity of the Internet,
                             ensuring that CAs remain transparent and live
                             up to their promises while adhering to
                             ecosystem norms, requirements, and best
                             practices.


                      # ⚓ Filippo Valsorda ☛ XAES-256-GCM⠀⇛


                             About a year ago I wrote that “I want to use
                             XAES-256-GCM/11, which has a number of nice
                             properties and only the annoying defect of
                             not existing.” Well, there is now an XAES-
                             256-GCM specification. (Had to give up on the
                             /11 part, but that was just a performance
                             optimization.)


                             XAES-256-GCM is an authenticated encryption
                             with additional data (AEAD) algorithm with
                             256-bit keys and 192-bit nonces. It was
                             designed with the following goals: [...]


          o § Defence/Aggression⠀➾


                # ⚓ Truthdig ☛ A_Militarized_AI_Hell_on_Earth⠀⇛


                       Venture capital and military startup firms in
                       Silicon Valley have begun aggressively selling a
                       version of automated warfare that will deeply
                       incorporate artificial intelligence (AI). Those
                       companies and their CEOs are now pressing full
                       speed ahead with that emerging technology, largely
                       dismissing the risk of malfunctions that could lead
                       to the slaughter of civilians, not to speak of the
                       possibility of dangerous scenarios of escalation
                       between major military powers. The reasons for this
                       headlong rush include a misplaced faith in “miracle
                       weapons,” but above all else, this surge of support
                       for emerging military technologies is driven by the
                       ultimate rationale of the military-industrial
                       complex: the potential to make vast sums of money.


                # ⚓ New York Times ☛ Campaign_Tied_to_China_Are_Harassing_a
                  Dissident’s_Teenage_Daughter⠀⇛


                       A covert propaganda network linked to the country’s
                       security services has barraged not just Mr. Deng
                       but also his teenage daughter with sexually
                       suggestive and threatening posts on popular social
                       media platforms, according to researchers at both
                       Clemson University and Meta, which owns Facebook
                       and Instagram.


                # ⚓ NL Times ☛ Wilders_tests_new_coalition's_"religious
                  criticism"_boundary,_calling_Islam_"disgusting"⠀⇛


                       A few days before a Cabinet containing ministers
                       from the far-right PVV is installed for the first
                       time, party leader Geert Wilders lashed out
                       fiercely against Islam in a post on social media.
                       Wilders said the religion "is a disgusting,
                       reprehensible, violent and hateful religion" on
                       Wednesday.


                       He invoked the coalition agreement's caveat that
                       "criticism of religion" is allowable, and the four
                       parties in the coalition agreed to uphold the basic
                       rule of law. Wilders made his statement in the
                       context that he has endured "20 years of
                       protection, safe houses, 5 fatwas, thousands of
                       death threats and visits to many Islamic
                       countries."


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


                      # ⚓ Meduza ☛ ‘The_state_encourages_it’:_Amid_the_full-
                        scale_war_in_Ukraine,_thousands_of_Russians_have
                        reported_their_fellow_citizens_for_dissent._Who_are
                        they?_—_Meduza⠀⇛


                      # ⚓ Meduza ☛ From_Babi_Yar_to_Bucha_Jonathan_Littell_on
                        ‘An_Inconvenient_Place,’_his_new_book_reckoning_with
                        Nazi_and_Russian_atrocities_in_Ukraine_—_Meduza⠀⇛


          o § Transparency/Investigative Reporting⠀➾


                # ⚓ Press Gazette ☛ Ex-editor_Geordie_Greig_blames_Daily_Mail
                  for_Tory_woes⠀⇛


                       He added: “There is a long tradition in British
                       newspapers of taking a political stance, supporting
                       one party or another. This is perfectly reasonable.
                       But it is never reasonable to bury sleaze and
                       incompetence.”


          o § Environment⠀➾


                # ⚓ Kansas Reflector ☛ Presidential_election_seen_as_climate
                  turning_point_as_CO2_hits_record⠀⇛


                       Recent data from the National Oceanic and
                       Atmospheric Administration indicate that carbon
                       dioxide in the atmosphere has been at record high
                       levels the past two years. The jump from 2022 to
                       2024 is the largest two-year increase NOAA has
                       recorded in the 50 years the agency has collected
                       data.


                # § Energy/Transportation⠀➾


                      # ⚓ CS Monitor ☛ Chinese_EVs_could_circumvent_American
                        tariffs_through_Mexico⠀⇛


                             “Time and again, we have seen the Chinese
                             government dump highly subsidized goods into
                             markets for the purpose of undermining
                             domestic manufacturing,’’ Sen. Sherrod Brown,
                             an Ohio Democrat, wrote in an April letter to
                             President Joe Biden that called for an
                             outright ban on Chinese electric vehicles in
                             the U.S. “We cannot let the same occur when
                             it comes to EVs.’’


                             Low-priced Chinese EVs pose a potentially
                             “extinction-level event’’ for America’s auto
                             industry, the Alliance for American
                             Manufacturing has warned.


                      # ⚓ THT ☛ Surviving_on_100kb/s⠀⇛


                             So, a couple of weeks ago, a power surge
                             killed my desktop pc, my thinkpad and
                             networking equipment, and I haven’t had the
                             time to repair/buy it. Instead, I just
                             adapted to the 100kb/s cellular life.


                      # ⚓ CoryDoctorow ☛ Cleantech_has_an_enshittification
                        problem⠀⇛


                             EVs won't save the planet. Ultimately, the
                             material bill for billions of individual
                             vehicles and the unavoidable geometry of more
                             cars-more traffic-more roads-greater
                             distances-more cars dictate that the future
                             of our cities and planet requires public
                             transit – lots of it.


                             But no matter how much public transit we
                             install, there's always going to be some
                             personal vehicles on the road, and not just
                             bikes, ebikes and scooters. Between
                             deliveries, accessibility, and stubbornly
                             low-density regions, there's going to be a
                             lot of cars, vans and trucks on the road for
                             the foreseeable future, and these should be
                             electric.


                             Beyond that irreducible minimum of personal
                             vehicles, there's the fact that individuals
                             can't install their own public transit
                             system; in places that lack the political
                             will or means to create working transit, EVs
                             are a way for people to significantly reduce
                             their personal emissions.


          o § Finance⠀➾


                # ⚓ Bruce Schneier ☛ Security_Analysis_of_the_EU’s_Digital
                  Wallet⠀⇛


                       A group of cryptographers have analyzed the eiDAS
                       2.0 regulation (electronic identification and trust
                       services) that defines the new EU Digital Identity
                       Wallet.


          o § AstroTurf/Lobbying/Politics⠀➾


                # ⚓ Cyble Inc ☛ Philippines_Data_Security_Officer_Hacked_93
                  Different_Sites⠀⇛


                       A data security officer from the Manila Bulletin
                       has admitted to hacking 93 websites, including
                       government and private company sites, as well as
                       servers abroad. The hacker, known by the alias
                       “Kangkong,” was arrested along with two others by
                       the National Bureau of Investigation (NBI)
                       Cybercrime Division on June 19 following reports of
                       multiple unauthorized access attempts and breaches.


                # ⚓ Federal News Network ☛ DCSA_has_a_new_roadmap_for_delayed
                  background_investigation_IT_system⠀⇛


                       In congressional testimony Wednesday, DCSA Director
                       David Cattler said the Defense Department this
                       spring initiated a 90-day recovery plan for the
                       NBIS program, which is charged with delivering new
                       IT capabilities to support the background
                       investigation mission. Cattler took over as
                       director of DCSA in March. He has said addressing
                       NBIS delays is one of his top priorities.


                # ⚓ European Commission ☛ Feedback_Open:_Cybersecurity_risk
                  management_&_reporting_obligations_for_digital
                  infrastructure,_providers_and_ICT_service_managers⠀⇛


                       The NIS2 Directive strengthens cybersecurity risk-
                       management measures and streamlines incident-
                       reporting obligations for a large number of
                       operators across the EU.


                       Given the cross-border nature of some operators
                       from the digital sectors, NIS2 requires the
                       Commission to align the rules at EU level.


                       This act will facilitate that, as well as
                       specifying the cases when an incident must be
                       considered significant.


                # ⚓ European Commission ☛ Draft_implementing_regulation_-_Ares
                  (2024)4640447 [PDF]⠀⇛


                       [...] laying down rules for the application of
                       Directive (EU) 2022/2555 as regards technical and
                       methodological requirements of cybersecurity risk-
                       management measures and further specification of
                       the cases in which an incident is considered to be
                       significant with regard to DNS service providers,
                       TLD name registries, cloud computing service
                       providers, data centre service providers, content
                       delivery network providers, managed service
                       providers, managed security service providers,
                       providers of online market places, of online search
                       engines and of social network [...]


          o § Censorship/Free Speech⠀➾


                # ⚓ Insight Hungary ☛ 444_banned_in_Russia⠀⇛


                       444. hu is the only Hungarian news site on the
                       Russian Foreign Ministry's ban list. As of 25 June,
                       Russia has restricted access to 81 European news
                       services listed by country on the ministry's
                       website. Some outlets have been listed as pan-
                       European media.


                       Their statement says that this is in response to a
                       decision taken by the Council of the European Union
                       on 17 May banning "all broadcasting activities" of
                       three Russian media outlets, RIA Novosti, Izvestia
                       Media Information Centre, and Rossiyskaya Gazeta,
                       which also came into force on the 25th of June. 


                # ⚓ EFF ☛ The_Global_Suppression_of_Online_LGBTQ+_Speech
                  Continues⠀⇛


                       EFF's mission is to ensure that technology supports
                       freedom, justice, and innovation for all people of
                       the world, and that includes LGBTQ+ communities,
                       which all too often face threats, censorship, and
                       other risks when they go online. This Pride
                       month—and the rest of the year—we’re highlighting
                       some of those risks, and what we’re doing to help
                       change online spaces for the better.


                # ⚓ RFA ☛ China_restricts_religious_debate_event_for_Tibetan
                  monks⠀⇛


                       Authorities shortened the two-week event, which
                       enjoys popularity across Tibetan-populated regions,
                       to one week and cut the number of monastic
                       attendees to 3,200 from about 7,000, said one
                       Tibetan source, who like others in the report
                       declined to be named.


                # ⚓ Techdirt ☛ Paramount_Kills_‘MTV_News’_Archives,_Because_Who
                  Cares_About_History?⠀⇛


                       Paramount (CBS) Corporation this week simply erased
                       decades of music journalism in the blink of an eye.
                       Last year the company shut down MTV News and fired
                       all its staff as part of a “strategic realignment.”
                       This week, without warning, the company deleted the
                       entirety of the MTV News archives, erasing decades
                       of music journalism without much in the way of any
                       warning.


                       In a scene that’s been repeated constantly in the
                       last decade, journalists watched helplessly as
                       stuff they’d spent years of their life working on
                       simply disappeared: [...]


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


                # ⚓ Reason ☛ Review:_'The_Trust_Fall'_Documents_Julian
                  Assange's_Legal_Battles⠀⇛


                       Even if Assange is never forced into an American
                       court, that won't reverse the damage to his health
                       caused by his long entrapment in the Ecuadorian
                       embassy and the British Belmarsh prison, or the
                       chilling effect on others who might dream of
                       following in his footsteps.


                # ⚓ New York Times ☛ Thursday_Briefing:_Evan_Gershkovich’s
                  Trial⠀⇛


                       The Russian authorities haven’t revealed any
                       evidence to support their charges. Observers have
                       been barred from attending the trial, which began
                       in the industrial city of Yekaterinburg, near the
                       Ural Mountains. His lawyers have been prohibited
                       from publicly revealing anything they learn.


                # ⚓ Truthdig ☛ Until_Julian_Assange_Is_Pardoned,_Press_Freedom
                  Remains_at_Risk_-_Truthdig⠀⇛


                       Assange did not plead guilty to some heinous crime,
                       but to “activities that journalists engage in every
                       day, and that we absolutely need them to engage
                       in,” said Jameel Jaffer, executive director of
                       Knight First Amendment Institute at Columbia
                       University. “In this respect the case establishes a
                       terrible precedent, even if it’s not one the courts
                       have fully endorsed.”


                       “Press freedom and human rights groups — including
                       the Knight Institute,” Jaffer continued,
                       “repeatedly criticized the administration for
                       pursuing the case, arguing that the prosecution of
                       Assange for publishing government secrets was
                       impossible to reconcile with the administration’s
                       stated commitment to press freedom.”


                       “The case is a disgrace,” James C. Goodale, the
                       former vice chairman and general counsel of The New
                       York Times, who led a team of lawyers representing
                       the Timesin the historic Pentagon Papers case, told
                       Truthdig. “The plea deal with Assange asks him to
                       concede he was a part of a conspiracy to obtain
                       national security information. The Justice
                       Department has long sought to criminalize the
                       newsgathering abilities of the press and to use
                       this case as a precedent to criminalize the basic
                       functions of the press, which in part includes
                       publishing classified information. The fact that
                       Assange had to agree to settle this case and agree
                       with government claims is disappointing but he can
                       hardly be blamed for anything after all he has been
                       through.”


                # ⚓ Reason ☛ Julian_Assange's_Freedom_Came_at_a_Steep_Price⠀⇛


                       "Really anybody who is concerned about press
                       freedom should be deeply concerned about the
                       prosecution of Julian Assange," says Trevor Timm,
                       co-founder of the Freedom of the Press Foundation.
                       "Maybe [some] journalists don't like Julian
                       Assange, or they have criticized one or many of his
                       actions over the years. That's all well and good,
                       but what really matters are the acts the Justice
                       Department is trying to criminalize here."


                # ⚓ The Dissenter ☛ Inside_The_Assange_Plea_Deal:_Why_The_US
                  Ended_the_Case⠀⇛


                       The U.S. government deployed their hubristic
                       argument about Assange and the First Amendment as
                       part of their defense of the extradition
                       request—and it backfired.


                       Marjorie Cohn, the dean of the People’s Academy of
                       International law and former president of the
                       National Lawyers Guild, asserted, "It is no
                       coincidence that the plea came a little more than a
                       month after the High Court of England and Wales
                       ruled that Assange could appeal the extradition
                       order against him. The Justice Department
                       apparently feared it would lose the appeal."


                       Stella Assange said that she believed the
                       negotiations "revealed how uncomfortable the United
                       States government is, in fact, [with] having these
                       arguments aired."


                       "The fact that this case is an attack on
                       journalism, it’s an attack on the public’s right to
                       know, and it should never have been brought,” she
                       concluded. “Julian should never have spent a single
                       day in prison. But today we celebrate because today
                       Julian is free."


                # ⚓ [Old] Press Gazette ☛ Trust_in_news_up_slightly_in_UK_but
                  remains_lower_than_global_average⠀⇛


                       However the UK’s trust level is down long-term,
                       from 51% in 2015, with a low point of 28% in 2020.


                # ⚓ Jacobin Magazine ☛ Julian_Assange_Is_Free,_but_Justice_Has
                  Not_Been_Served⠀⇛


                       There is zero question that Assange going free is
                       cause for celebration. Assange is a journalist who
                       exposed US war crimes. As a result of this work, he
                       has suffered vicious and relentless persecution at
                       the hands of the US government. Yet Assange’s
                       freedom was attained in a bittersweet victory.
                       Until the very end, the US government refused to
                       drop its claim that basic journalism can constitute
                       a violation of the Espionage Act. A plea deal does
                       not set a legal precedent, but the steep price
                       extracted from Assange will undeniably have a
                       chilling effect on journalism.


                # ⚓ AntiWar ☛ Julian_Assange_Is_Free!_-_Antiwar.com⠀⇛


                       Trump, who had been harshly critical of both
                       Manning and Assange, ratcheted up his attacks on
                       Assange and Obama after Manning’s prison release.
                       His anger was interpreted by his Department of
                       Justice as his wish for an indictment of Assange,
                       which the DoJ obtained in 18 counts including
                       espionage. The DoJ then sought Assange’s
                       extradition from London, whereupon he fled to the
                       Ecuadorian Embassy there, where he resided in the
                       basement for seven years until he was forcibly
                       extracted by British police.


                       The case against Assange is a sham and is motivated
                       by the U.S. intelligence community and its
                       colleagues in the DoJ. It is a sham because the
                       First Amendment protects the freedom of speech of
                       all persons, not just Americans. Even though the
                       materials Assange and WikiLeaks received had been
                       stolen by Manning, because they were and are of
                       profound interest to the public – American drones
                       targeting civilians, secret U.S. military actions
                       in countries with which the U.S. was not at war,
                       and government lying to the public on a grand scale
                       – the media is free to reveal them.


          o § Civil Rights/Policing⠀➾


                # ⚓ Democracy Now ☛ Kenya_Protests:_Police_Abduct_Activists_as
                  Pres._Ruto_Rejects_Tax_Bill_Linked_to_Foreign_Debt_Crisis⠀⇛


                       Anti-government protests in Kenya are continuing
                       after President William Ruto made a dramatic
                       reversal Wednesday, announcing he would not sign
                       the finance bill that sparked a nationwide
                       uprising, and would instead send the bill back to
                       Parliament. At least 23 people were killed and
                       dozens more injured when police fired live rounds,
                       rubber bullets and tear gas at protesters who
                       stormed Kenya’s Parliament building. We speak to a
                       writer and activist based in Nairobi who asked to
                       remain anonymous out of fear for her safety. She
                       says many in the youth-led movement have been
                       “abducted” during the police crackdown on
                       demonstrations, which are now calling for
                       Parliament to be dissolved and new elections to be
                       held. We also hear from Mamka Anyona, a Kenyan
                       international finance and development expert, who
                       breaks down the financial crisis that led to the
                       mass unrest. The contested finance bill deploys a
                       tax hike in an attempt to repay $80 billion in
                       foreign loans, largely from the International
                       Monetary Fund and the World Bank. But critics say
                       mismanagement and corruption have led to high
                       inflation and unemployment, and characterize both
                       the bill and the loans themselves as undemocratic
                       decisions reached without constituent approval.
                       ​​”It has all ended up creating this tinderbox,”
                       Anyona says.


                # ⚓ Pro Publica ☛ How_NYPD_Commissioner_Caban_Buries_Officers’
                  Disciplinary_Cases⠀⇛


                       Brianna Villafane was in Lower Manhattan protesting
                       police violence in the summer of 2020, when
                       officers charged into the crowd. One of them
                       gripped her hair and yanked her to the ground.


                # ⚓ International Business Times ☛ Foxconn_Excludes_Married
                  Women_from_Jobs_at_Apple_iPhone_Plant_In_India,_Raising
                  Ethical_Concerns⠀⇛


                       In March 2023, sisters Parvathi and Janaki, both in
                       their 20s, visited a Foxconn-run plant in southern
                       India after reading job postings on WhatsApp. Upon
                       arrival, a security guard at the main gate turned
                       them away after asking, "Are you married?" During
                       an interview in her local shanty town, Parvathi
                       explained, "We didn't get the jobs because we are
                       both married." She added, "Even the auto-rickshaw
                       driver who took us from the bus stand to the
                       Foxconn facility told us they wouldn't take married
                       women, but we thought we would still give it a
                       shot."


                # ⚓ Hamilton Nolan ☛ We_Have_a_Distribution_Problem⠀⇛


                       The systematic effort to stomp out organized labor
                       power in America since the end of WW2 has been very
                       successful. We’ve gone from a high of one in three
                       workers being union members in the 1950s, to a
                       paltry one in ten today. This decline has been
                       engineered by business interests, mostly using
                       money and political power. Part of the battle is
                       waged on an intellectual battlefield as well: The
                       effort to spread the idea that the free market
                       produces prosperity, that unions break that free
                       market and thereby make everyone poorer, and that
                       working people will achieve their own prosperity
                       more effectively by riding the rising tide of
                       booming business than they will by organizing into
                       unions.


          o § Internet Policy/Net Neutrality⠀➾


                # ⚓ The Register UK ☛ Nokia_to_sell_submarine_network_business
                  to_France_for_$375M⠀⇛


                       That Nokia, a Finnish company, owns a submarine
                       cable firm based in France is a consequence of the
                       fate of former telecoms giant Alcatel-Lucent. The
                       company was a merger of French telecom firm Alcatel
                       and Lucent Technologies, which was formerly AT&T's
                       supplier Western Electric and the home of Bell
                       Labs, the birthplace of the transistor. The two
                       paired up in 2006 in the aftermath of the dot-com
                       bubble bursting.


                # ⚓ [Repeat] APNIC ☛ Navigating_Starlink's_FCC_paper_trail⠀⇛


                       Anyone watching the satellite Internet scene in the
                       last few years could not have missed Starlink, the
                       new Low Earth Orbit (LEO) kid on the block. From a
                       researcher’s perspective, SpaceX — Starlink’s
                       operators — are quite opaque, however. There is
                       little engagement with the research community, and
                       official pronouncements often lack detail — they’re
                       clearly not the kind of company that takes people
                       on factory tours to proudly show off how they make
                       and run things. Much of what is being bandied
                       around publicly about Starlink comes from social
                       media influencers whose technical qualifications,
                       insights, background, and access to information are
                       at times questionable, and whose information cannot
                       be relied upon. Very little is peer-reviewed or
                       quality-assured in other ways.


                # ⚓ [Old] PC Mag ☛ The_Internet_Is_Not_Forever:_38%_of_Web
                  Pages_From_2013_No_Longer_Exist⠀⇛


                       The Pew Research Center finds that 38% of the pages
                       extant in 2013 were no longer accessible in October
                       2023 and that a quarter of the pages that were
                       online at some point over that period have now
                       vanished.


                       Pew’s study, based on a sample of almost a million
                       pages recorded by the nonprofit archive Common
                       Crawl, also documents how this “digital decay” has
                       eroded the utility of news and government sites as
                       well as Wikipedia, with links at those places
                       increasingly serving up only 404 error messages.


      § Monopolies/Monopsonies⠀➾


          o § Copyrights⠀➾


                # ⚓ Torrent Freak ☛ $8.1m_Damages_Agreed_By_YouTuber_&_Bungie
                  For_96_Bogus_DMCA_Notices⠀⇛


                       A gamer who impersonated an anti-piracy partner
                       working for Bungie as part of a bogus DMCA takedown
                       notice campaign on YouTube, agreed to a $8.1m
                       copyright infringement judgment. Nicholas Minor,
                       aka Lord Nazo, sent 96 fraudulent takedown notices
                       against creators in the Destiny 2 community early
                       2022. An injunction targeting the defendant aims to
                       ensure there's no repeat of any similar behavior,
                       anywhere in the world, ever again.


                # ⚓ Torrent Freak ☛ LaLiga_and_UAE_Launch_'Anti-Piracy
                  Laboratory'_to_Block_Pirate_Sites⠀⇛


                       Spanish football league LaLiga and the United Arab
                       Emirates (UAE) are teaming up to tackle online
                       piracy. This week, they launched a dedicated 'anti-
                       piracy laboratory' that aims to block pirate sites
                       and services, while also exploring new
                       technological enforcement tools. LaLiga's
                       President, who was present at the signing,
                       describes the agreement as "historic and unique".


                # ⚓ Digital Music News ☛ Created_By_Humans_Raises_$5M—Licensing
                  Works_to_AI_Models⠀⇛


                       The startup has raised $5 million in funding, with
                       plans to expand beyond books to become a platform
                       “where creators of videos, images, music, and even
                       medical data can sell licensing rights for AI
                       training.”


                # ⚓ Scoop News Group ☛ U.S._Copyright_Office_looks_to_overhaul
                  its_enterprise_copyright_system⠀⇛


                       Appearing before the House Administration
                       Committee, Shira Perlmutter, the register of
                       Copyrights and director of the U.S. Copyright
                       Office, said the agency is modernizing its approach
                       to workflow and services, with a particular focus
                       now on mapping out next steps and timing on
                       registration for its new Enterprise Copyright
                       System.


                # ⚓ Wired ☛ Amazon_Is_Investigating_Perplexity_Over_Claims_of
                  Scraping_Abuse⠀⇛


                       Amazon’s cloud division has launched an
                       investigation into Perplexity AI. At issue is
                       whether the AI search startup is violating Amazon
                       Web Services rules by scraping websites that
                       attempted to prevent it from doing so, WIRED has
                       learned.


                       An AWS spokesperson, who talked to WIRED on the
                       condition that they not be named, confirmed the
                       company’s investigation of Perplexity. WIRED had
                       previously found that the startup—which has backing
                       from the Jeff Bezos family fund and Nvidia, and was
                       recently valued at $3 billion—appears to rely on
                       content from scraped websites that had forbidden
                       access through the Robots Exclusion Protocol, a
                       common web standard. While the Robots Exclusion
                       Protocol is not legally binding, terms of service
                       generally are.


                # ⚓ CoryDoctorow ☛ Copyright_takedowns_are_a_cautionary_tale
                  that_few_are_heeding⠀⇛


                       We're living through one of those moments when
                       millions of people become suddenly and
                       overwhelmingly interested in fair use, one of the
                       subtlest and worst-understood aspects of copyright
                       law. It's not a subject you can master by skimming
                       a Wikipedia article!


                # ⚓ The Atlantic ☛ Generative_AI_Can’t_Cite_Its_Sources⠀⇛


                       Curious about how these media deals might work in
                       practice, I tried a range of searches in ChatGPT
                       and Perplexity. Although Perplexity generally
                       included links and citations, ChatGPT—which is not
                       a tailored, Google-like search tool—typically did
                       not unless explicitly asked to. Within those
                       citations, both Perplexity and ChatGPT at times
                       failed to deliver a functioning link to the source
                       that had originated whatever information was most
                       relevant or that I was looking for. The most
                       advanced version of ChatGPT made various errors and
                       missteps when I asked about features and original
                       reporting from publications that have partnered
                       with OpenAI. Sometimes links were missing, or went
                       to the wrong page on the right site, or just didn’t
                       take me anywhere at all. Frequently, the citations
                       were to news aggregators or publications that had
                       summarized journalism published originally by
                       OpenAI partners such as The Atlantic and New York.


                # ⚓ [Repeat] Creative Commons ☛ Moving_Institutions_Toward
                  Open—Building_on_6_Years_of_the_Open_GLAM_Survey⠀⇛


                       How common is it for cultural organisations to
                       permit the free reuse of their digitised public
                       domain collections? Where are these materials
                       published online, and under what conditions?


                       Since 2018, Douglas McCarthy and Andrea Wallace’s
                       Open GLAM Survey has been answering these questions
                       and more, providing valuable insights into open
                       access activity within the GLAM (galleries,
                       libraries, archives and museums) sector. The Survey
                       offers a comprehensive overview of the landscape of
                       open access policy and practice among cultural
                       institutions and organisations, serving as a
                       crucial guide for researchers, policymakers, and
                       practitioners in the field of copyright and
                       heritage.


                # ⚓ The Register UK ☛ Reddit_to_use_robots.txt_to_scare_off_AI
                  data_scrapers⠀⇛


                       It should be noted that robots.txt can't force
                       scrapers to do anything; the file's contents are
                       more like guidelines or firm requests. Web crawlers
                       can be made to ignore them, so Reddit says it will
                       continue to rate limit and/or block rogue bots –
                       presumably that includes bad ones that ignore
                       robots.txt – from accessing the site.


                # ⚓ The Verge ☛ YouTube_is_trying_to_make_AI_music_deals_with
                  major_record_labels⠀⇛


                       After debuting a generative AI feature last year
                       that produces music in the style of famous artists
                       like Charli XCX, John Legend, and T-Pain, YouTube
                       is now asking major record labels to allow it to
                       clone more musicians. According to the Financial
                       Times, the Google-owned video platform is offering
                       to pay Universal Music Group (UMG), Sony Music
                       Entertainment, and Warner Records “lump sums of
                       cash” in exchange for licensing their songs to
                       legally train its AI music tools.


                # ⚓ Matt Birchler ☛ The_public_web_and_consent⠀⇛


                       The big sticking point here is consent. I don’t
                       think it’s moral for a company to go “we’ve trained
                       on your data already, but if you don’t want us to
                       do that again, you can put a rule in your
                       robots.txt file.” That sucks, and anyone at the
                       companies building these LLMs who say this is fine
                       know that they’re lying to justify their bad
                       behavior.


                       But let’s say you are a good server admin who
                       doesn't want to participate in LLM training and you
                       update your robots.txt file to block every LLM bot
                       you know of. As we said above, you can’t block new
                       bots since they don’t announce themselves until
                       after they’ve done all their initial training, and
                       also that file isn’t law, it’s just a suggestion.
                       As we’ve seen in recent days, Perplexity doesn’t
                       give a shit about that file and will plow right
                       through any guardrails you’ve tried to set up.


                # ⚓ Thomas Rigby ☛ Rage_against_the_machine⠀⇛


                       Reading Jeremy Keith's call to arms, "The machine
                       stops", I started to think about ways to not just
                       prevent AI crawlers but to actively sabotage them.
                       Idle Luddite thoughts of an evening.


                       There are those who say we shouldn't; that the
                       "public" web is fair game. After all, it's freely
                       available to anyone to access. But that's it; to
                       access. As Louie says in Training AI,


                       "The “public” in “public web” means free to access;
                       it does not mean it's free to use."


                # ⚓ Daniel Pocock ☛ European_Commission_fooled_by_IBM_Red_Hat
                  merger_risk_to_source_code⠀⇛


                       It is now one year since IBM Red Hat announced
                       restrictions on the availability of the Red Hat
                       Enterprise Linux (RHEL) source code.


                       At the time, various people wrote to me commenting
                       that I had been right in my concerns about the
                       direction of open source software and the
                       increasingly fake communities like the FSFE misfits
                       who pretend to be FSF.


                       The IBM Red Hat merger required regulatory approval
                       from the European Commission. An enormous report
                       was produced about the risks of the merger and the
                       source code question was in there. It was foreseen
                       and the European Commission did nothing to mitigate
                       the risk or place conditions on the merger to
                       protect all the other companies who contributed to
                       that source code.


                       Let's go through it step-by-step: [...]


                # ⚓ [Old] Manton Reece ☛ Where_Apple_went_wrong_with_free
                  apps⠀⇛


                       Today, we know that Apple has never planned well
                       for free apps. You don’t need to look much further
                       than their reversal of allowing in-app purchase in
                       free apps to see that they are making this stuff up
                       as they go along.


                # ⚓ Manton Reece ☛ More_DMA,_more_rejections,_more_exhaustion⠀⇛


                       Maybe nothing I’ve written in 20 years of blogging
                       has proven more true than that statement. Enough
                       already! Just let us build apps that customers want
                       and distribute them outside the store without
                       gimmicks. That’s what the DMA is about and Apple
                       knows it.


                # ⚓ The Register UK ☛ Apple_degraded_Watch_to_cut_competition,
                  say_heart_doctors⠀⇛


                       The physicians argue in their amicus brief [PDF]
                       filed this week with the United States Ninth
                       Circuit Court of Appeals that when Apple's watchOS
                       5 replaced its Heart Rate Path Optimizer (HRPO)
                       algorithm with a Heart Rate Neural Network (HRNN)
                       and Irregular Rhythm Notifications (IRN), it made
                       the wearables worse for monitoring heart health.


                       To catch you up with this twisty-turning saga:
                       AliveCor, which makes electrocardiography (ECG)
                       hardware and software, tried to sue Apple in 2021
                       on antitrust grounds, accusing the iGiant of
                       unfairly trying to monopolize the personal heart-
                       rate monitoring market.


                # ⚓ The Register UK ☛ Google_tells_court_Epic_Games'_injunction
                  demands_too_costly⠀⇛


                       It's been six months since a California jury
                       decided that Google Play was an illegal monopoly,
                       but that verdict hasn't settled matters.


                       Epic and Google have been in and out of court in
                       the months following the verdict to hammer out
                       terms of agreement on the injunction Epic proposed
                       in April, and the court's decision [PDF] to have
                       Google file the aforementioned briefing followed a
                       discussion between "economic experts" in May,
                       during which Judge James Donato reportedly
                       expressed skepticism of Google's Play Store
                       apocalypse claims.





                    ䷩ 𝚕𝚒𝚗𝚎 7891

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


posted by Roy Schestowitz on Jun 28, 2024


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


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * Personal/Opinions
    * § Personal/Opinions⠀➾


          o ⚓ 🔤SpellBinding:_EHIZORM_Wordo:_SPEWS⠀⇛


          o ⚓ End_of_School_-_Next_is_University⠀⇛


                 So, this month I had my last secondary education exams
                 and a celebration about it. I don't feel myself very
                 nostalgic about it, but maybe I haven't understood it
                 well yet.


                 But now I am already preparing myself to university.
                 Actually, I wanna archive best results there, so my plan
                 is to work hard. I am enrolling at PJATK for Computer
                 Science degree (If anyone also applies to this uni this
                 year or even to CS in another uni, I would be happy to
                 talk about it. Let me know if you do any preparation and
                 how do you feel about it.)


          o ⚓ Overton_window,_yeah_OK⠀⇛


                 Even though Overton was on the opposite political camp
                 from me, I 100% agree with his “Overton window” model,
                 which says that there’s a narrow range of politics
                 acceptable to the mainstream, so pundits and think tanks
                 who push radically outside that window have a lot of
                 impact. Of course, he wanted to push on the wrong side of
                 that window, but that doesn’t mean the tactic is
                 ineffective. It has, unfortunately, been very effective
                 for them.


          o ⚓ Hilltops_over_horseshoes⠀⇛


                 If established power is on a hilltop using tactics
                 suitable for an uphill position, all the other li’l
                 guerillas crawling around on the outside of those city
                 walls are gonna come across as having some similarities
                 in how they approach that fortress, even when their goals
                 are absolutely the opposite. That doesn’t mean they’re
                 “the same” in any meaningful way. They’re still
                 opposites.


          o ⚓ Idiomdrottning:_Not_enough_polarization⠀⇛


                 Society is polarized but our politicians don’t reflect
                 that. The options are too close to each other and they
                 are too far towards the right’s delusions, not close
                 enough to the left’s clear analyses of real problems
                 (mainly climate change).


                 The convo is that we’re too polarized these days and it
                 is true that that’s a big problem, because it’s hard to
                 see a reconciliatory road forward. I had a terf friend
                 and I loved her and I wanted to have patience with her
                 and see her come home, come out of that gc cult, but in
                 the end we had a falling out when she found out I had
                 been excluding her from things in order to protect my
                 queer friends from her and now we haven’t spoken in
                 years. The solution cannot be that the camps must kill
                 each other. We must reconciliate because living apart
                 isn’t an option either since climate change requires a
                 universal solution because local actions, like drilling
                 and burning, have global consequences.


          o ⚓ Has_the_political_elder_abuse_finally_ended?⠀⇛


                 The CNN panel commentary after last night's US
                 presidential "debate" was without question the weirdest
                 thing I've ever watched: what's been obvious to me for
                 three and a half years was :suddenly: obvious to most -
                 if not all - of the commentators, who I'm willing to bet
                 were all absolutely certain Biden was a reasonable
                 candidate the day before.


                 It seemed somewhere between prepared/orchestrated, and an
                 astonishing case of collective true believer denial
                 magically unraveling.


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




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