𝕿𝖊𝖈𝖍𝖗𝖎𝖌𝖍𝖙𝖘 Bulletin for Sunday, September 13, 2026
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Generated Mon 14 Sep 02:49:22 BST 2026
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/2026/09/13/


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

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QmdLsuRLzrwb58dZaSmJah6oCmNNZ6cW4ick4chqJmHjmY
QmTNR3uqcbMYjPAbbHjBqyNJb3ib8kytQvdFnATzkBFVvo
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QmaoEDiALTYYZdaq3SQ86aQpMwUji1nqCeLbXAoszFRYvJ
QmSTkZUY74BcgbgqS6JKwwNbVnbzY5uqwpgWtYonGJua8s
QmXZcp3rXLYa24pYd7jUu6sPDrhziRCNCok875WLJTLysP
QmUE7nd24kx2soZFbSYKDsb1ik1wpirFTRTBhDTj6w9sjh
QmdKeWBhfnjgQLYU48wto7DdStpXsB5mE1yEEnWcxQ53vu
QmfSnnTnjcAe3YvtRsVgAwUJfpcEk1dM5J5yjJLyv7MxqM
QmQ16CkpxBbMzPZ6wZcuKBUcxH1RZ8uAEhcvdBsPRpVZe9
QmT3gTQRv33wEDtJveL8DiqiacGeRaxEbRFDUyVSJEAvDL
QmTs9qcwghZPs5oBh9qzsu8a11T4s6xHrJjVNyk5miFy3X
Qmdqd6mb8mj27qVvQZRR7sjshrXYYirWm9vRttLkNB5rW6
QmSjY85vxbu9nNFHUMmuK7CxRame2VYuhb523CJaK5zRkj
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QmcgTTyseF5zFd4MLquM4PtJZzkFcBEqaUbqDe4eaUx6Na
QmZMEFKvpgvjxAcV9Pwu7yF74LYZwS7ktdLFdYb988Ncfu


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

⦿ Techrights  -  Boosters of Omarchy Are No 'Underdogs'

⦿ Techrights  -  Efforts to Cancel Matt Mullenweg Have Made Us More Sympathetic Towards Mullenweg and More Sceptical of the People Who Run Automattic (Named After Mullenweg)

⦿ Techrights  -  General Assembly Covers EPO Strikes on Thursday, September 17th (2026)

⦿ Techrights  -  IRC Proceedings: Saturday, September 12, 2026

⦿ Techrights  -  It Sometimes Feels Like Slop Companies Are Committing Online/Digital Crimes

⦿ Techrights  -  MElon's Twitter Takeover Was Meant to Amplify People Like Himself or David Heinemeier Hansson (Slop Pyramid Schemes and Bigotry)

⦿ Techrights  -  Microsoft is Laying Off All Year Long (It's Just Keeping Quiet About It)

⦿ Techrights  -  Microsoft Lunduke of 'Linux Sucks' (and Microsoft Corp.) Tries to Replace GNU/Linux With Toxic Discussions About Toxic Politics

⦿ Techrights  -  Over at Tux Machines...

⦿ Techrights  -  PIPs Are a Setup: They Set Workers Up to Fail While Working Their Arse Off Before Getting Kicked (Out) in the Arse

⦿ Techrights  -  SLAPP Censorship - Part 181 Out of 200: This is Really More Like Brett Wilson LLP v Schestowitz (Using Money From American Slop Companies, Plagiarism Pushers)

⦿ Techrights  -  SLAPP Censorship - Part 182 Out of 200: UK Dockets With Machine-Generated Applications to the Court (From American Slop Companies)

⦿ Techrights  -  Windows Down to New Lows as Switzerland's Federal Government Abandons Microsoft (Where Feasible for Now)

 ䷼ Bulletin articles (as HTML) to comment on (requires login):
https://techrights.org/n/2026/09/13/Boosters_of_Omarchy_Are_No_Underdogs.shtml
https://techrights.org/n/2026/09/13/Efforts_to_Cancel_Matt_Mullenweg_Have_Made_Us_More_Sympathetic_.shtml
https://techrights.org/n/2026/09/13/General_Assembly_Covers_EPO_Strikes_on_Thursday_September_17th_.shtml
https://techrights.org/n/2026/09/13/IRC_Proceedings_Saturday_September_12_2026.shtml
https://techrights.org/n/2026/09/13/It_Sometimes_Feels_Like_Slop_Companies_Are_Committing_Online_Di.shtml
https://techrights.org/n/2026/09/13/MElon_s_Twitter_Takeover_Was_Meant_to_Amplify_People_Like_Himse.shtml
https://techrights.org/n/2026/09/13/Microsoft_is_Laying_Off_All_Year_Long_It_s_Just_Keeping_Quiet_A.shtml
https://techrights.org/n/2026/09/13/Microsoft_Lunduke_of_Linux_Sucks_and_Microsoft_Corp_Tries_to_Re.shtml
https://techrights.org/n/2026/09/13/Over_at_Tux_Machines.shtml
https://techrights.org/n/2026/09/13/PIPs_Are_a_Setup_They_Set_Workers_Up_to_Fail_While_Working_Thei.shtml
https://techrights.org/n/2026/09/13/SLAPP_Censorship_Part_181_Out_of_200_This_is_Really_More_Like_B.shtml
https://techrights.org/n/2026/09/13/SLAPP_Censorship_Part_182_Out_of_200_UK_Dockets_With_Machine_Ge.shtml
https://techrights.org/n/2026/09/13/Windows_Down_to_New_Lows_as_Switzerland_s_Federal_Government_Ab.shtml

 ䷞ Followed by Daily Links (assorted news picks curated and categorised):
https://techrights.org/n/2026/09/13/Gemini_Links_13_09_2026_Never_Settling_Plain_Text_Digital_Life_.shtml
https://techrights.org/n/2026/09/13/Gemini_Links_13_09_2026_Why_Omarchy_is_Plain_Disgusting_and_AI_.shtml
https://techrights.org/n/2026/09/13/Links_13_09_2026_Republican_Campaign_Aide_Uses_Nazi_Photo_and_C.shtml
https://techrights.org/n/2026/09/13/Links_13_09_2026_Scam_Altman_Admits_Issues_Financial_Rival_Says.shtml

                    ䷩ 𝚕𝚒𝚗𝚎 86

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2026/09/13/Boosters_of_Omarchy_Are_No_Underdogs.shtml
    Gemini version at gemini://gemini.techrights.org/n/2026/09/13/Boosters_of_Omarchy_Are_No_Underdogs.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Boosters of Omarchy Are No
'Underdogs'⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Sep 13, 2026


Omarchy exercises the freedom to treat many human beings like disposable trash
and to promote a scam (slop plagiarism)


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇ManosphereOS⦈


As noted_in_Gopherspace_today, Omarchy is bad for technical reasons, set aside
the slop and the politics. We have repeatedly said the same thing for months
already.


Omarchy_is_not_interesting_mostly_because_it's_a_pusher_of_a_pyramid_scheme and
that has nothing to do with alleged funnelling of money (Miguel_de_Icaza has
been publicly accused of libel for saying so). From a technical perspective,
Omarchy offers nothing interesting, it's just riding Arch like Valve does
(SteamOS) and adds some self-praising dog-whistles.


If you look for 'underdog' distros, look for something developed not by
elitists and narcissists. There are many easy-to-use (and install) Arch
derivatives that do not rely on "viral" marketing in MElon's child porn-pushing
social control media and are instead relying on real development, not slop. █


    * PIPs_Are_a_Setup:_They_Set_Workers_Up_to_Fail_While_Working_Their_Arse
      Off_Before_Getting_Kicked_(Out)_in_the_Arse
    * Efforts_to_Cancel_Matt_Mullenweg_Have_Made_Us_More_Sympathetic_Towards
      Mullenweg_and_More_Sceptical_of_the_People_Who_Run_Automattic_(Named
      After_Mullenweg)


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⣿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠀⠀⠀⢀⠿⡟⠦⠀⠀⠀⠉⣿⡅⠹⢿⣿⣷⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⡀⠀⢀⣄⡀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠁⠂⣉⡓⠀
⣵⡀⠰⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⣀⠀⠙⢣⡀⠀⠨⠄⠀⠘⠀⠀⢀⣄⢉⣀⣀⣀⢻⣽⣿⣿⣿⣶⣤⡀⠀⢀⠄⠀⠀⠀⠀⠀⠀⠀⠈⠋⠀⢀⠙⠻⠸⠿⣿⣶⣦⣾⣿⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁
⣭⣻⡁⠐⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢚⡃⠀⠀⠀⠀⠀⠀⠘⣯⠄⠉⠙⠃⡅⣫⢿⣿⣿⣿⣿⣧⠄⠂⠀⠀⠀⢶⣶⣶⡄⠀⠀⢀⠠⡤⠀⠀⠀⠀⠈⠉⠁⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠶
⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠉⠈⠉⠈⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠉⠉⠁⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠛⠻⠟⠘⠟⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡄⠀⠀⣤⣤⣴⣶⣤⡀⠀⠀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⣠⠀⢠⡀⠀⢠⡄⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣿⡏⠉⣿⡏⢹⣿⡆⣿⡏⠉⣿⡇⣾⣿⠉⣿⡇⢸⣿⠉⣿⠇⢸⣿⠀⢸⣿⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣯⣿⣽⣹⡧⢙⣔⣾⣿⣿⣽⣿⡛⢛⠐⠀⠀⠀⠀⠀⣴⣽⣿⣾⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣦⣴⣥⡀⣀⣀⣠⣾⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢋⡿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣈⣛⣿⠘⠛⠋⠀⠙⠙⠫⠫
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡾⣿⣿⣸⣿⣿⣿⣿⣿⣳⣸⠟⡷⢾⣿⣿⣿⣿⣿⡿⠛⠐⣲⣿⣧⡀⡂⠂⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣋⣯⣷⣿⣿⣶⠀⠂⢢⣮⣿⣿⣿⠋⢹⠿⠂⠀⠈⠹⠿⢟⠀⠀⠈
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⠛⣿⣿⣿⡭⡀⠈⠈⣭⣭⣥⣿⡇⢰⣿⣿⣿⣿⣿⣿⡏⠀⠐⣿⣿⣿⣟⣁⢀⣤⣬⣷⣶⣶⣶⠞⣾⠀⠀⠀
⣿⡿⠃⠈⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⡇⢔⣿⣿⣿⠇⠀⠰⢴⣾⣿⣯⣽⣧⣼⢾⣿⡿⣿⣻⠟⠃⠀⠘⠛⣿⠛⠻⠛⠛⠫⠛⡉⠉⠉⠁⠀⠁⠀⠀⠀
⣶⠀⣰⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⣿⢿⣿⣿⢰⡄⠶⠘⣿⣿⡟⣿⣾⢺⣖⣿⣿⣿⡏⠅⣀⡤⢠⣤⡎⠅⣀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠉⠈⣏⠁⠀⠀⠘⠻⠿⣿⣿⢿⣿⣿⣿⣿⣿⣸⡋⢙⢟⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣉⣿⣿⣿⢀⠀⠉⠭⣏⣀⠿⠛⠛⠻⠿⡇⣻⣻⣾⣿⣿⣿⣿⣵⣽⣿⣿⠠⢽⣷⣸⣷⣛⣿⣷⣧⡤⢠⣀⡀⠀⠀⠀⠀⢀
⠀⠀⠹⠀⠀⠀⠀⠀⠘⢐⣤⣶⣿⣿⣿⣿⣿⡟⠀⡀⢰⣾⣿⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠁⠐⠃⠀⠀⠙⣿⣅⠄⠠⠂⠌⣿⠉⣇⣽⣿⣿⣿⣿⣽⣿⣿⡿⠀⢷⣾⣿⣿⣿⣿⣯⣿⣦⠀⠽⣿⣿⣾⣻⣿⣿
⣿⣿⡆⠀⠀⠀⠀⠀⠀⠈⠈⠉⠾⠢⠿⣿⠿⠧⠈⠃⣿⣿⣿⠆⠀⠈⠿⢿⣿⣯⣈⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠸⠟⠉⠛⠛⠛⠉⠁⠉⠉⠙⠑⠚⠋⠉⠛⠛⠉⠉⠉⠉⠳⠦⠌⠉⠛⠛⠓⠲
⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠀⠀⠀⠀⡷⠑⠦⠀⠀⠀⠘⣿⡅⠹⢿⣿⣷⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⡀⠀⡀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠁⠒⣉⡓⠀
⣅⣀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠙⢃⡀⠀⠨⠤⠀⠑⠀⠀⢀⣄⢉⣀⣀⣀⣛⢽⣿⣿⣿⣷⣄⠀⠀⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢀⠑⠟⠼⢿⢿⣶⣶⣾⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢡
⣭⣿⠁⠐⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢚⡇⠀⠀⠀⠀⠀⠀⠸⢯⡝⠉⠛⠃⠀⢩⣿⣿⣿⣿⣿⣇⠤⠂⠀⠀⠀⢶⣶⡶⠄⠀⠀⢀⣤⢠⠄⠀⠀⠀⠈⠉⢁⠈⠉⠉⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠿
⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠉⠁⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠈⠉⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠛⠻⠟⠘⠟⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡄⠀⠀⣤⣤⣴⣶⣤⡀⠀⠀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⣠⠀⢠⠀⠀⢠⡄⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣿⡏⠉⣿⡏⢹⣿⡆⣿⡏⠉⣿⡇⣾⣿⠉⣿⡇⢸⣿⠉⣿⠇⢸⣿⠀⢸⣿⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⣀⣀⣀⡀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣟⣐⣙⣥⣿⣿⣿⣿⣿⠛⢓⠒⠁⠀⠀⠀⢀⣴⣭⣯⣾⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣬⣥⡢⣄⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡟⣉⣿⡿⣿⣿⡿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣭⣻⣷⠝⠛⠁⠀⠈⠉⠻⠝
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣻⣾⣿⣿⣹⣾⣟⣸⣿⣿⣿⢻⣿⡧⠹⢻⠷⣿⣿⣿⣝⣿⣿⣾⠉⠺⣿⣿⣧⣰⠒⠄⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⠿⣟⣙⣭⣷⣿⣿⣷⠀⠀⢦⣼⣿⣿⠿⠛⢹⡟⠂⠀⠀⠹⠿⢟⠀⠀⠈
⡿⢿⣿⣿⣿⣿⣿⣿⣇⣺⢿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣯⣿⣿⣿⣿⣿⣿⣷⣿⠏⣻⣿⣿⣿⡴⠀⠀⢨⣭⣥⣾⣽⡂⢸⣿⣿⣿⣿⣿⣿⠑⠀⠘⣿⣿⣟⣛⡀⡀⢬⣭⣳⣶⣶⣶⠯⡿⠀⠀⠀
⠛⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣠⢴⣿⣿⡿⠉⠁⠀⣴⣾⣿⣭⢨⡄⣾⢹⣿⣟⣏⡿⣿⠀⠀⠘⠚⣿⠛⠛⠛⠛⠫⠛⡉⠉⠉⠀⠀⠁⠀⠀⠀
⠀⣠⠀⠻⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠻⠝⢿⣿⡇⠁⠀⢀⣿⣿⣿⠿⣦⡖⣷⣾⣿⣿⣿⣈⢅⣀⠄⢠⣤⡭⠤⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠈⡏⠀⠀⠀⠙⢟⢿⣿⣿⣿⣿⣿⣿⣿⣇⣀⠝⠻⢻⣿⣿⣿⣿⣿⣏⣾⣿⣿⣿⣿⣿⣬⣸⣿⣿⡡⡄⠀⠀⢛⣡⡴⠺⠗⠛⠻⢿⠈⣿⣷⣿⣿⣿⣿⣿⣼⣿⣿⣧⠠⣿⡧⣿⣿⣿⣿⣧⣥⡤⢦⣄⣄⠀⠀⠀⠀⣀
⠀⠹⠀⠀⠀⠀⠈⢀⣟⣴⠔⠫⣟⣿⣿⣿⣿⠁⠂⢀⣿⠋⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠉⠅⠀⠀⠈⢫⣿⡀⠀⠄⠀⢸⡏⠉⣈⣿⣿⣿⣿⡯⣾⣿⣿⡏⠀⢶⣷⣿⣿⣿⣭⣭⣿⣄⡀⠽⣿⣻⣿⣿⢿⣟
⣿⡆⠀⠀⠀⠀⠀⠉⠀⠒⠂⠋⠟⣿⣿⣾⠿⠀⠟⣼⣿⣷⠆⠀⠛⠻⣿⣿⣟⡉⢙⣿⡿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠁⠿⢿⠓⠙⠛⠻⠉⠈⠉⠉⠉⠛⠛⠛⠙⠛⠛⠋⠉⠉⠉⠲⢦⠈⠙⠛⠛⠓⠲
⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⠁⠀⠀⠀⣺⡏⠣⡀⠀⠀⠀⢻⡎⠛⣿⣿⣶⣨⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣈⠀⠀⠀⠀⣀⣀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢓⠒⠈⠁⠀⢻⠑⠀
⣠⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠟⣀⠀⠀⠀⡅⠀⠉⠀⠀⠀⣀⠈⠃⠀⣈⠻⢻⣿⣿⣿⣿⣶⡀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠘⠋⠀⠈⠛⠛⠿⣿⣷⣦⣶⣷⣷⣦⡄⠀⠀⠈⠁⠀⠀⠉⠀⠀⠀⠀⠉⠁⢨
⣿⠂⠖⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠉⢹⢿⠀⠀⠀⠀⠀⠀⠰⢿⡔⠛⠛⠫⠀⠍⢻⣿⣿⣿⣿⣿⡆⠴⠁⠀⠀⠰⣶⣶⠦⠀⠀⠀⢀⣀⠀⠠⠀⠀⠀⠈⠉⢀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠔⠓
⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠉⠉⠉⠈⠁⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠛⠻⠟⠙⠟⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡄⠀⢀⣤⣤⣴⣶⣤⡀⠀⠀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⣠⠀⢠⡀⠀⢠⡄⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣿⡏⠉⣿⡏⢹⣿⡆⣿⡏⠉⣿⡇⣿⣿⠉⣿⡇⢸⣿⠉⣿⠇⢸⣿⠀⢸⣿⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⣀⣀⣀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣾⣿⣏⣆⣇⣤⣿⣿⣿⣿⣿⠋⢓⠤⠀⠀⠀⠀⢠⣾⣯⣿⣽⣽⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⡫⣅⢄⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣾⣿⣿⣷⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⣩⢿⠟⠿⠿⡛⢻
⣿⣿⣿⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢻⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⠿⣿⣿⣿⣿⣯⣭⣹⣧⠙⠋⠀⡀⠘⠀⠀⠀
⣿⣻⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣽⣿⢿⣿⣿⣢⣿⣇⣻⣿⣿⢯⢿⡏⡆⠹⠻⠿⣿⣿⣿⣝⣿⣿⣛⠁⠁⣻⣿⣧⢰⠈⠄⠀
⣿⣿⣿⣿⣿⣿⣿⠋⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣯⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⠿⣿⡿⢿⣍⣫⣷⣶⣿⣿⡶⠀⠀⣤⣸⣿⣿⠟⠉⢽⠛⠀⠀⠀⠹⠿⠏⠀⠀⠀
⢻⣿⣿⣿⣿⣿⣇⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡟⠈⣿⣿⣿⣧⡀⠀⠀⠭⣽⣴⡞⠳⠄⡞⣿⣿⣿⣿⣿⣿⠋⠀⢨⣿⣿⣯⣏⢀⠀⣠⣟⣷⣶⣶⡶⠧⡟⠀⠀⠀
⠀⢹⣿⣿⣿⣿⣿⣶⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣻⣿⢛⢁⠤⣿⣿⣿⠋⠀⠀⢠⣤⣿⣷⡅⠒⠀⠀⢿⣶⣿⣏⣿⠏⠀⠀⠘⠛⡟⠛⠛⠛⠓⢋⣋⠉⠉⠉⠀⠀⠀⠀⠀⠀
⠀⠈⠿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠹⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠉⡾⢿⣿⠀⠀⠀⠈⣿⣿⡿⢳⣶⡓⣿⣾⣿⣷⣿⠈⢀⣀⡄⢠⣤⠉⠄⣀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠙⠿⣿⠿⣿⣿⣿⣿⣿⣿⣁⣀⠉⠛⢻⣿⣿⣿⣿⣿⣯⣽⣿⣿⣟⣿⣿⢿⣄⣿⣿⣗⣠⡀⠀⠀⢩⣤⠖⠚⠃⠻⢿⡇⠘⣟⣿⣿⣿⣿⣿⣯⣮⣽⣿⡇⠠⣿⣧⣿⣿⣿⣿⣦⣥⠤⢤⣀⡄⠀⠀⠀⠀⢀
⠀⠀⠀⠀⠀⠀⢈⡀⠀⠈⠹⣽⣿⠿⣿⣿⠃⠀⠀⠻⠿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣻⡿⠂⠟⠀⠀⠀⠀⢸⣆⠀⠀⠀⠀⡿⠉⠉⢹⣿⣿⣿⣿⠧⣿⣻⣿⠃⠈⢾⣾⣿⣷⣯⣿⣍⣷⡄⢐⡽⣿⣿⣿⣿⣿⡉
⡄⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⢿⣿⡀⣤⠿⠀⠘⢢⢿⣦⠄⠉⠻⠿⣿⣿⣿⠋⠉⢻⣿⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠠⣿⠟⠑⠙⠛⠉⠉⠈⠉⠙⠙⠓⠛⠉⠙⠛⠛⠉⠈⠉⠙⠒⢦⠈⠙⠛⠛⠓⠶
⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠁⠀⠀⠀⢐⢦⠀⠀⠀⠀⠀⠈⡟⠻⣷⣶⣎⢁⣼⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢀⠀⠀⣀⡀⠠⡀⡀⠀⠀⠀⠀⠀⠀⢀⢀⠀⠀⠃⠂⠊⠀⠀⢁⠀⠀
⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠆⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⢀⡀⠁⠀⠙⠿⢿⣿⣿⣿⣿⣿⣆⡀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠃⠘⠛⠯⢿⣯⣶⣄⣴⣷⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀
⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠉⠃⠀⡿⠃⠀⠀⠀⠀⠀⠀⠘⣯⡤⠒⠏⠀⠀⢙⠻⣿⣿⣿⣿⣧⡀⠌⠀⠀⠀⢰⣶⣶⡄⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠉⠉⢀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠊
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠈⠈⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠛⠻⠟⠙⠟⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡄⠀⢀⣤⣤⣴⣶⣤⡀⠀⠀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⣠⠀⢠⠀⠀⢠⡄⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣿⡏⠉⣿⡏⢹⣿⡆⣿⡏⠉⣿⡇⣿⣿⠉⣿⡇⢸⣿⠉⣿⠇⢸⣿⠀⢸⣿⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⣀⣀⣀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⠉⣡⢏⠀⠀⠀⠀⣠⣿⣹⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣿⣭⠂⣀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡿⢋⣫⠿⢛⡿⠿⡙⣿
⣿⡿⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢾⣿⣿⣿⣿⣏⣭⣽⣇⠉⠋⢀⡀⠘⠀⠀⠀
⣛⣙⣦⣥⣿⡍⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣇⣾⣿⣏⣿⣿⣿⡟⣿⣟⣏⡿⠿⠿⢿⣿⣿⣿⣿⣿⡛⠁⠋⣿⣿⣧⣸⠉⣄⣀
⣿⣿⣿⣿⣿⠀⠀⠉⢻⣿⣿⣯⣯⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⡿⢿⣿⠿⢿⣉⣭⣷⣾⣿⣿⣶⡄⣐⣦⣿⣿⣿⠏⠉⠽⠟⠀⠀⠀⠛⠿⡏⠀⠀⠀
⣿⣿⣿⣿⣗⠀⠀⢀⣶⣿⣿⣿⣿⣿⣿⣟⣟⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠻⣿⣿⣿⣾⠀⠀⠈⣽⣯⣴⡟⢦⢢⡿⣿⣿⣿⣿⣿⣿⠋⠀⢸⣿⣿⣿⣃⣀⣠⣤⣽⣿⣷⣿⡿⢣⡟⠀⠀⠀
⢿⣿⣿⣿⣿⣿⣦⣾⣿⣿⣿⣿⣿⣿⣿⣿⣏⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡁⣷⡾⣿⣿⣏⠀⠀⠤⣤⣿⣿⣿⢗⢟⠈⠀⣿⣾⢿⣝⣟⡋⠀⠀⠘⠻⣟⠛⠛⠛⠙⢉⣋⠉⠈⠁⠀⠀⠀⠀⠀⠀
⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢿⣿⣿⣿⣷⠁⠩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠧⠝⠸⣿⢿⡷⠀⠀⠀⢹⣿⣿⡟⣿⣿⢲⣷⣻⣿⣷⣟⡰⣀⣠⠄⣦⣌⠹⠄⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣀⣄⠛⠻⢿⣿⣿⣶⣾⣿⢗⣫⣿⣿⣿⣿⣿⣿⣮⣹⣿⣿⢦⠀⠀⠀⠀⣧⣤⠲⠚⠘⠿⣿⡀⢻⣻⣾⣿⣿⣿⣿⣧⣯⣿⣿⡇⣼⣿⣬⣿⣯⣿⣿⣿⣤⠤⢦⣀⡄⠀⠀⠀⠀⣀
⠀⠀⠀⠀⠈⠀⠀⠹⠛⠛⣿⣿⡿⢿⣿⡇⠀⠈⠛⢿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣟⣻⠏⠈⠂⠀⠀⠀⠉⣷⣄⠀⠀⠀⢸⡿⠙⠉⣽⣿⣻⣿⣿⣽⣿⣿⣿⡇⠸⣾⣿⣿⣷⣿⣿⣿⣷⣄⢠⢿⣿⣿⣿⣿⣯⣟
⠀⠀⠀⠀⠀⠛⠉⠀⠠⣾⣿⣧⠀⢠⡸⠇⠀⠃⣴⣤⡈⠙⠿⣿⣿⣿⢟⠛⠉⢙⣿⣿⢿⣟⠀⠀⠀⠀⠀⠀⠀⠉⠀⠁⠀⠀⠈⠉⣴⣾⠛⠚⠛⠛⠟⠁⠈⠙⠛⠛⠚⠛⠛⠛⠛⠛⠋⠉⠛⠙⠷⢤⠉⠛⠛⠛⠓⠶
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠉⠀⠀⠀⠀⠀⠀⣷⡖⠀⠀⠀⠀⠉⠻⣿⣦⣤⡈⢑⣤⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣀⠀⠀⠀⠀⢀⣀⡀⠀⡀⠀⠀⠀⠀⠀⠀⠀⡀⡀⠀⠀⢒⠒⠈⠀⠂⣣⠆⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡦⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠈⠻⡿⣷⣄⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠁⠀⠛⢿⠾⣿⣿⣦⣤⣿⣿⣶⣄⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠙⠉⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠲⠀⠀⠶⡆⠀⠀⠀⠀⠀⠀⠠⣿⡤⠒⠪⠀⠈⢻⣿⣿⣿⣿⣟⣿⣥⡠⠂⠀⠀⠀⣶⣦⣦⠀⠀⠀⠀⡀⣆⠀⠀⠂⠀⠈⠙⠛⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠲⠶⠾
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠉⠁⠁⠀⠀⠀⠈⠉⠉⠀⠀⠁⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠛⠻⠟⠙⠟⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡄⠀⢀⣤⣤⣴⣶⣤⡀⠀⢀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⣠⠀⢠⡀⠀⢠⡄⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣿⡏⠉⣿⡏⢹⣿⡆⣿⡏⠉⣿⡇⣿⣿⠉⣿⡇⢸⣿⠉⣿⠇⢸⣿⠀⢸⣿⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⣀⣀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣥⣤⣼⣽⣿⣿⣿⣏⠉⣉⢉⠀⠀⠀⠀⣠⣯⣵⣯⣿⣿⣏⡽
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⢭⡧⠀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠉⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣉⣾⢿⠿⡿⢋⢉⢻
⠀⠈⠛⠿⠻⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣟⣿⣿⣿⣿⣿⣿⢿⣿⡗⢿⣿⣿⣿⣻⣅⣭⣽⡏⠉⠉⢀⠀⠀⠀⠀⠀
⣤⣤⣤⠀⠀⠻⢶⣿⣿⣿⠿⢽⣿⡿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⢿⣿⣿⣤⣾⣿⣹⣿⣿⣿⣿⣿⡿⠮⠟⡿⠾⣿⣿⣿⣽⣿⣟⠋⠁⠩⣿⣿⣄⣘⠱⡄⣀
⣿⣿⡇⠀⠀⠀⠁⢭⣿⣧⣄⣘⢜⣾⣿⣶⣿⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣿⣿⣿⣿⣿⢿⣿⣿⣟⡿⣿⢿⣿⣿⣿⣿⠿⣿⠿⠿⣋⣩⣽⣶⣿⣿⣿⣶⠂⣱⣦⣻⣿⠿⠋⠁⠻⡃⠀⠀⠀⠛⠟⡃⠀⠄⠀
⣿⣿⡇⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣏⣑⣰⣾⣿⣿⣿⣷⣿⣖⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⠏⠀⣿⣿⣿⡧⠁⠀⠀⢨⣿⣵⣾⠻⠂⢸⢻⣿⣿⢿⣿⣿⡟⠁⠀⣿⣿⣿⣟⣃⣀⡠⣴⣿⣷⣾⣾⠟⢱⠏⠀⠀⠀
⣿⢻⢿⣆⠀⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢁⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣅⢠⡵⢿⣿⣿⠀⠈⠀⢰⣽⣿⣿⣿⣺⣤⠀⠘⣿⣿⣭⣽⣿⠃⠀⠀⠙⠻⡟⠛⠛⠛⠛⠋⠉⠁⠉⠁⠀⠀⠀⠀⠀⠀
⡛⣾⣾⣿⣿⣾⣿⣿⣿⣿⣿⠏⠹⣿⣿⣿⣿⣿⠉⠃⢾⣿⣯⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⡗⠈⠃⠙⠿⣿⠂⠀⠀⠘⢿⣿⣿⠿⣮⣏⢺⣆⣿⣿⣾⡇⠀⣀⣰⠀⣦⣄⠢⠄⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠈⠛⣿⣿⢟⣿⣿⣿⣿⣿⡏⠀⢀⠈⠛⢿⣿⣿⣶⣤⠈⣟⣿⣤⣱⣿⣿⣿⣿⣿⣿⣁⣿⣿⠃⠀⠀⠀⠀⠸⣤⠦⠒⠒⠿⢿⣇⠀⣛⣿⣿⣿⣿⣿⣿⣵⣧⣿⣿⡀⣾⣿⢬⣿⣿⣿⣿⣯⣤⠶⣤⡀⠀⠀⠀⠀⢀⣀
⠀⠀⠈⠀⠀⠈⠙⠙⠛⣿⢿⡿⠿⣿⡆⠀⠉⠿⢿⣿⣿⣬⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣍⡟⠁⠀⠀⠀⠀⠀⢺⡄⠀⠀⠀⠁⢻⡞⠋⢉⣿⣿⣻⣿⣿⣼⣿⣿⣿⠀⢸⣿⣿⣿⣷⣽⣻⣝⣥⣄⢸⢿⣿⣿⣿⣿⡿⡅
⠀⠀⠀⠰⠂⠀⠀⢲⣾⡿⠦⣄⢀⣼⠷⠀⠂⡀⠀⠉⠻⣿⣷⣤⣿⣿⠛⠉⠙⢻⣿⡟⣿⡅⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠈⢁⣾⠟⠃⠉⠛⠿⠟⠁⠉⠛⠛⠛⠚⠛⠁⠐⠛⠛⠃⠉⠛⠛⠶⢄⠉⠛⠛⠛⠳⠦
⠀⠀⠀⠀⠀⠀⠀⠈⠛⠋⠀⠋⠈⠉⠀⠀⠀⢰⣦⠀⠀⠀⠉⠻⢿⣷⣄⡀⠀⢈⣠⣨⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⣀⠀⠀⠀⠀⠀⣀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠂⠆⠂⠱⠎⣃⠦⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣆⠠⠽⣿⣿⣿⣿⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠉⠁⠙⠲⠶⠹⣿⣷⣤⣄⣽⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠉⠉
⠀⠀⠀⠀⠀⠀⣀⠤⠀⠊⢤⡄⠀⠀⢰⠶⠀⠀⠀⠀⠀⠀⠀⣼⣄⠀⠈⠋⠙⢦⡟⠿⣯⣿⣿⣿⣗⣀⡔⠁⠀⠀⢠⣦⣦⣀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠈⠉⠻⠏⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠢⠾
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠛⠻⠟⠙⠟⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡄⠀⢀⣤⣤⣴⣶⣤⡀⠀⢀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⣠⠀⢠⡀⠀⢠⡄⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣿⡏⠉⣿⡏⢹⣿⡆⣿⡏⠉⣿⡇⣿⣿⠉⣿⡇⢸⣿⠉⣿⠇⢸⣿⠀⢸⣿⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⣀⣀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣷⣦⣬⣼⣽⣿⣿⣿⣯⠉⢂⠉⠀⠀⠀⠀⣠⣿⣷⣮⣽⣿⣯⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣷⣦⢱⠟⠀⣀⣤⣾⣷⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠉⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣹⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⠿⢉⣿⢟⠿⡿⡫⠉⣻
⠀⠈⠛⠫⢽⣿⢿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⡿⢿⣿⢿⣿⣿⣿⣿⣿⣿⢿⣿⡇⢻⣿⣿⣿⣻⣅⡭⣽⡏⠉⠁⢀⠀⠀⠀⠀⠀
⣤⣤⣤⠀⠈⠽⣷⣪⣿⣿⠿⢼⣿⡿⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⢿⣿⣿⣄⣾⣿⣹⣿⣿⣟⣿⣿⡙⠈⠟⠟⠾⣿⣿⣿⣽⣿⣟⠋⠁⠩⣽⣿⣆⣘⠁⣀⣀
⣿⣿⡏⠀⠀⠀⠈⣇⣽⣧⣄⣘⢌⣾⣏⣶⣿⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡟⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⡿⡿⢿⣿⣿⣿⣿⠿⣿⠿⠿⣏⣉⣽⣶⣿⣿⣷⢆⠀⣠⣄⣻⣿⠿⠋⠁⠟⡃⠀⠀⠀⠛⠟⡇⠀⠀⠀
⣿⣿⡇⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣏⣀⣸⣾⣿⣷⣿⣷⣿⣗⣿⣿⣿⣬⣿⣿⣿⣿⣿⣿⣿⠋⠀⣿⣿⣿⡗⠁⠀⠀⢠⣽⣴⣾⠻⡦⠐⢻⣿⣿⢿⣿⣿⡟⠀⠀⣿⣿⣿⣝⣇⡀⢠⣤⣿⣷⣶⣿⡿⢡⠏⠀⠀⠀
⣻⢻⣿⡆⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣙⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⣿⣿⣿⣿⣿⣿⣁⢠⡲⢿⣿⣿⠀⠀⠀⢤⣼⣿⣿⣿⢆⣭⢈⠘⣿⣿⣭⣽⡟⠃⠀⠀⠙⢻⡟⠛⠛⠋⠓⠊⠉⠁⠉⠁⠀⠀⠀⠀⠀⠀
⠾⢾⣿⣿⣿⣖⣿⣿⣿⣿⣿⠏⠻⣿⣿⣿⣿⣿⠉⠀⢿⣿⣯⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⡗⠈⠁⠙⠿⣿⠂⠀⠀⠈⣿⣿⣿⠿⣼⡮⢺⣎⣿⣿⣾⡏⠀⣀⣰⠀⣤⡄⠡⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠹⡹⣿⢻⣿⣿⣿⣿⣿⡏⠀⠀⠈⠛⢻⣿⣿⣶⣄⠀⣽⣿⣬⣱⣿⣿⣟⣿⣿⣯⣑⣿⣿⠃⠀⠀⠀⠀⠐⣤⠄⠒⠂⠿⢿⣇⠀⣛⣿⣿⣿⣿⣿⣿⣵⣮⣿⣿⠀⣼⣿⣬⣿⣿⣿⣿⣯⣤⠦⣤⡀⠄⠀⠀⠀⢀⣀
⠀⠀⠀⠀⠀⠈⠙⠋⠉⢻⢿⡷⠿⣿⡆⠀⠈⠛⢿⣿⣿⣬⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣍⡟⠁⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⢹⡞⠋⠉⣿⣟⣿⣿⣯⢼⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣝⣥⣀⣸⢿⣟⣿⣟⣿⣟⠂
⠀⠀⠀⠐⠀⠀⠀⠀⣴⡷⢦⡀⢀⣼⠷⠀⠂⡀⠀⠈⠻⣿⣷⣄⣿⣿⠛⠉⠉⢹⣿⡿⣿⡃⠀⠀⠀⠀⠀⠀⠈⠁⠉⠀⠀⠀⠀⢀⣶⠞⠓⠋⠛⠻⡯⠁⠉⠉⠛⠛⠚⠛⠛⠓⠛⠛⠋⠙⠋⠛⠶⢄⠉⠛⠛⠛⠓⠦
⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⠈⠃⠀⠀⠀⠀⠀⢰⡆⠀⠀⠀⠉⠛⢿⣷⣄⡀⠀⢀⣀⣡⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣀⠀⠀⠀⠀⠀⣀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢐⡒⠂⠊⠱⠎⣣⠦⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣿⣆⡀⢹⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⠁⠀⢳⡶⠽⣿⣷⣤⣀⣿⣿⣶⣄⠀⠀⠀⠈⠁⠀⠀⠒⠀⠀⠀⠀⠛⠉⢍
⠀⠀⠀⠀⠀⠀⡀⠤⠀⠘⢤⠄⠀⠀⢰⠶⠀⠀⠀⠀⠀⠀⠀⣼⡀⠀⠈⠉⠹⢦⣸⢍⣿⣿⣿⢿⣷⢀⠔⠁⠀⠀⢰⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠇⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠰⠾
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠛⠻⠟⠙⠟⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡄⠀⢀⣤⣤⣴⣶⣤⡀⠀⢀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⣠⠀⢠⡀⠀⢠⡄⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣿⡏⠉⣿⡏⢹⣿⡆⣿⡏⠉⣿⡇⣿⣿⠉⣿⡇⢸⣿⠉⣿⠇⢸⣿⠀⢸⣿⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⣀⣀⣀⡀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣯⣿⣿⣿⣿⣿⡍⠉⢅⠣⠀⠀⠀⠀⣴⣯⣿⣯⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣷⣦⣹⡗⠀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡽⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣻⣿⠿⣉⣾⠿⡿⡟⣋⠉⢻
⠀⠙⠛⢿⠿⡿⣿⣿⡿⢿⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⠻⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⡗⣿⣿⣿⣿⣿⣅⣬⣿⡏⠉⠁⣀⠀⠀⠀⠀⠀
⣤⠀⠀⠰⠴⠂⣿⣿⢛⠟⢻⢿⣟⠿⡿⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣽⣟⣿⣿⣿⣀⣿⣿⣹⣿⣿⣿⣻⣿⡻⠼⠛⠇⠶⣿⣿⣿⣽⣿⣟⡫⠁⠸⣿⣿⣄⣟⠱⡀⣀
⠁⠀⠀⠀⠀⠀⣿⣦⣤⣄⠀⠈⣿⣿⣾⡿⢲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡟⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣻⢿⡿⠿⣿⣿⣿⡿⢻⣿⠿⢿⣋⣽⣵⣶⣿⣿⣶⣶⠀⣢⣤⣿⣿⡿⠉⠁⢻⡛⠀⠀⠈⠛⡟⡇⠀⠀⠀
⡆⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣾⣿⣿⣉⡠⣿⢿⣿⣿⣿⣿⣿⢸⣿⣿⣷⣾⣧⣿⣿⣿⣿⣿⠿⠀⢘⣿⣿⣿⠀⠀⠀⢠⣾⣷⣴⡿⠿⡄⠾⢿⣿⣿⣿⣿⣿⡏⠀⠀⣿⣿⣿⣟⣇⣀⣤⣦⣽⣿⣿⣿⠟⢱⠏⠀⠀⠀
⠷⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⣺⢿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣸⣿⣿⣿⣿⣿⣣⠀⢠⠛⢿⣿⡿⠀⠀⠤⣤⣿⣿⢿⡷⢛⠄⡀⢸⣷⣿⣯⢹⠿⠁⠀⠀⠋⢻⡛⠛⠛⠛⠑⠊⠉⠁⠉⠀⠀⠀⠀⠀⠀⠀
⣾⣷⢦⣸⣿⣿⣿⣿⣿⡟⠛⢿⣿⣿⣟⣹⣿⡏⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⠃⠀⠉⠙⠻⡿⠀⠀⠀⢻⣿⣿⣿⢿⣯⡇⣲⣞⣿⣿⣾⣇⠌⣀⡀⠠⣤⡄⠡⢤⣄⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⡞⠽⣿⣿⣿⣿⡟⠀⠀⠀⠙⠿⣿⣿⣿⣇⡀⡐⣻⣽⡧⣉⣺⣿⣿⣿⣿⣿⣏⣸⣿⣏⠀⠂⠀⠀⠀⠡⡤⠲⠒⠸⡿⣿⡀⠸⡿⣷⣿⣯⣿⣿⣿⣱⣯⣿⣿⠀⣿⢿⢼⣿⣿⣿⣿⣭⣦⠴⣄⡀⠀⠀⠀⠀⣀⣀
⠀⠀⠀⠀⠉⠛⠛⠟⠛⠾⣿⡶⢤⡀⠈⠛⠿⣿⣷⣾⡊⢻⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⠋⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⠘⣷⠛⠋⢹⣿⣟⣿⣿⣿⣿⣿⣿⡿⠀⢷⣿⣿⣿⣿⣿⣿⣿⣧⡄⣸⢿⣿⣿⣿⣿⣿⡭
⠀⠀⠀⠀⠀⠀⣴⡦⠠⣶⣆⠀⣀⡿⠀⠀⠀⠈⠻⢿⣿⣦⡀⡸⣿⡟⠋⠙⠻⣿⡿⣿⣿⠀⠀⠀⠀⠀⠀⠘⠋⠀⠀⠀⠀⠀⠑⢰⣶⡟⠛⠛⠛⠿⠻⠃⠉⠙⠛⠓⠛⠛⠙⠓⠛⠛⠛⠛⠛⠻⠶⢄⠙⠛⠛⠛⠓⢦
⠀⠀⠀⠀⠀⠈⠻⠃⠀⠈⠉⠀⠉⠁⠀⠀⢐⠄⠀⠀⠉⠛⢿⣧⣿⡇⠀⠀⠀⣑⣈⣻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣁⡀⠀⠀⠀⠀⢀⠀⠀⣀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠒⡂⠄⠀⠴⢒⡲⠦⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠀⠀⠀⠀⠀⠀⠙⢿⣿⣷⡀⠀⢨⣿⣿⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠉⠀⠈⢶⡦⣿⣿⣧⣤⣨⣿⣶⣧⣀⠀⠀⠀⠈⠀⠀⠀⠒⠀⠀⠀⠀⠛⠃⢀
⠀⠀⠀⠀⢀⡀⡀⠰⣄⡀⠀⠀⠀⠀⣶⠄⠀⠀⠀⠀⠀⠀⢸⣄⡈⠛⠛⣇⡀⠈⠬⣽⣿⣿⣿⣿⡀⠠⠊⠀⠀⠀⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠻⠏⠛⠛⠛⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠶⣤⡿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠛⠻⠟⠙⠟⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡄⠀⢀⣤⣤⣴⣶⣤⡀⠀⢀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⣠⠀⢠⡀⠀⢠⡄⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣿⡏⠉⣿⡏⢹⣿⡆⣿⡏⠉⣿⡇⣿⣿⠉⣿⡇⢸⣿⠉⣿⠇⢸⣿⠀⢸⣿⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⣀⢀⣀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣥⣷⣿⣽⣿⣿⡍⠁⣬⠀⠀⠀⠀⢀⣼⣯⣵⣿⣿⣫⣭⣯
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣮⣽⠅⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣭
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢛⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⡟⣿⣿⢏⣡⢟⠟⠛⠛⠉⠙⠟
⠿⠿⣿⣿⣿⠿⣟⠿⣋⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⢻⣿⢟⣿⣿⣿⣿⣿⣿⡿⣿⣿⡘⣿⣿⣿⣿⣿⣰⣤⣿⠈⢉⣁⣀⠀⠀⠀⠀⠀
⠛⢤⣿⣿⢰⡆⠀⣟⠛⠓⣵⠙⢻⠏⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣧⣾⣿⣦⣿⣿⡿⣯⣿⡏⠃⠽⢹⠋⢿⣿⣿⣿⣿⣿⣏⡁⠈⠨⣿⣷⣄⡏⠑⠄⣀
⠀⠀⣿⣿⣼⣠⡄⠴⠀⠀⢀⣿⣿⣿⠷⢚⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢽⣿⣿⣿⣿⣿⠟⢿⣿⣿⣿⠹⠿⠿⢿⣿⣿⣿⢻⣿⠿⠟⣋⣬⣼⣶⣿⣿⣿⣦⡆⢘⣦⣾⣿⣿⠿⠉⠸⢝⡁⠀⠀⠘⢛⢛⡀⠀⠀⠀
⠀⣽⣿⣿⣿⣿⣿⣧⡀⢰⣿⣿⣇⣀⠰⡿⢿⣏⣿⣿⣿⣿⣻⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⠟⠀⣨⣿⣿⣿⠔⠀⠀⠠⣿⣾⣾⣿⣟⡧⢸⡿⣿⣿⣿⣿⣿⣿⠉⠀⢸⣿⣿⣯⣿⣄⣀⡴⣶⣿⣿⣿⡿⠟⢼⠁⠀⠀⠀
⢸⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣯⣀⢿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣅⠀⠶⡙⢿⣿⣿⠀⠀⠤⣤⣿⣿⣿⣿⡿⣯⠀⠀⣿⣿⣯⡭⠿⠟⠀⠀⠘⠙⣿⠛⠛⠛⠛⠓⢍⡉⠀⠁⠀⠀⠀⠀⠀⠀⠀
⢾⣿⣿⣿⣿⡿⠋⢻⣿⣿⣿⣻⣿⡋⣿⣿⠀⠀⢻⣿⣾⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⠃⠀⠁⠈⠙⡿⠀⠀⠀⢻⣿⣿⣿⢿⣗⣿⢲⣶⣹⣿⣿⣷⠱⢀⣀⡄⢴⣤⠈⠤⣄⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⠁⠀⠀⠙⢿⣿⣿⣶⣈⠸⠛⠀⠀⠀⢻⣽⡆⣉⣺⣿⣿⣿⣿⡿⣯⣸⣿⣿⢀⡀⠀⠀⠀⢱⡶⠴⠶⢺⣿⣿⠀⠐⣿⣿⣾⣿⣽⣿⣿⡇⣼⣽⣿⣧⢸⣿⣇⣿⣿⣿⣿⣿⣽⡤⠤⣄⣀⠀⠀⠀⠀⣀⣀
⠙⠻⠛⠻⠋⠞⠿⠦⣄⡀⠀⠛⢻⣿⣷⣦⣤⣤⠑⠘⢿⣷⣷⣿⣿⣿⣿⣿⣿⣿⣿⣭⠉⠀⠀⠀⠀⠀⣸⡄⠀⠀⠀⠀⠉⣷⡶⠟⠋⣿⣿⣻⣿⣿⣉⣿⡿⣿⠏⠐⣶⣷⣿⣿⣿⣟⣛⣟⣄⠀⣸⢿⣟⣿⣿⢿⣟⠏
⠀⠀⢀⣢⠀⡤⡠⢀⣤⡄⠀⣀⠀⠀⠻⢿⣿⣿⣧⠀⠈⠀⢽⣿⡿⠋⠙⠻⣿⣿⢿⣿⠀⠀⠀⠀⠀⠀⠙⠓⠐⠄⠀⠀⠀⠻⢇⣴⣬⠿⠙⠿⠿⢿⠓⠈⠘⠛⠛⠶⠚⠛⠒⠚⠟⠛⠛⠛⠛⠿⢦⡈⠙⠛⠛⠶⠲⢤
⠀⠰⣿⡷⠀⠀⠂⠀⠈⠁⠀⠃⠀⠀⠀⠀⠙⠻⢿⣆⡀⠀⠈⢿⡇⠀⠀⢀⣛⣈⣽⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠢⠀⠂⠀⣐⠦⠤⠀
⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⡀⠀⠀⠉⠿⣷⣦⣼⠃⠀⠀⠀⠈⣳⣿⣿⣿⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠍⠀⠀⢶⣶⢺⣿⣧⣄⡉⣹⣴⣶⣄⠀⠀⠀⠀⠐⠀⠀⠀⠂⠀⠀⠀⠀⠻⠒⢒
⠀⠀⠀⢠⠆⠀⠀⠀⠀⠀⠀⠀⢠⣤⠀⠈⠀⠀⠀⠀⠀⠛⣿⣿⡄⠆⠂⠀⠀⢉⢛⣻⣿⣿⣷⣇⢀⠄⠀⠀⠀⣤⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠻⡟⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢖⣤⣾
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠈⠉⠁⠁⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠛⠻⠟⠙⠟⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡄⠀⠀⣤⣤⣴⣶⣤⡀⠀⠀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⣠⠀⢠⡀⠀⢠⡄⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣿⡏⠉⣿⡏⢹⣿⡆⣿⡏⠉⣿⡇⣿⣿⠉⣿⡇⢸⣿⠉⣿⠇⢸⣿⠀⢸⣿⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⣀⣀⣀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣽⣿⣯⣼⣧⣿⣿⣿⣿⡄⠀⣤⠁⠀⠀⠀⢠⣾⣉⣬⣿⣿⣿⣯⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣷⣷⣿⠓⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣭
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡚⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⢟⣿⡿⣋⣠⡿⠻⠝⡟⠉⠘⠛
⣿⡟⣽⣿⠟⠹⢿⢟⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣯⣿⣟⣿⣿⣿⣿⠹⢿⣿⢿⣿⣿⣿⣿⣿⢿⠻⣿⣿⢙⣿⣿⣿⣿⣿⣠⣼⣿⠈⢉⣀⣤⠀⠀⠀⠀⠀
⣿⡇⢿⢆⠶⠈⠛⠚⠛⢲⡞⣛⡿⠩⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣰⣾⣿⣸⣿⣿⡿⣼⣿⡊⠁⠛⢻⠙⢻⣿⣿⣯⣿⣿⣉⡁⠐⠻⣿⣷⣄⡯⠢⠄⡠
⣿⣿⣶⣀⣁⣄⠈⠂⠀⢀⣿⣯⣶⠧⠔⣿⡟⢿⣿⣿⣿⢿⣿⣿⣿⣿⢿⢿⣿⣿⣿⣿⣿⡿⠻⣿⣿⣿⡏⣿⠿⠿⣿⣿⣿⢟⣻⡿⠿⠛⣡⣬⣶⣾⣿⣿⣿⣶⠄⢴⣿⣼⢿⣿⠛⠀⠘⢉⣁⠀⠀⠘⢛⢫⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣧⡀⡀⠠⣿⣿⣧⣑⣸⠏⣿⣗⢈⣿⣾⣿⠑⣿⣿⣿⣿⣬⣽⣿⣿⣿⣿⠟⠃⡠⣿⣿⣿⡧⠀⠀⠀⢼⣿⣷⣿⣿⣛⡆⢹⢿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣤⣤⣲⣮⣽⣿⣿⡿⠛⠾⠁⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣷⡶⢿⣿⣿⣿⣅⡸⣾⣿⢿⣿⡿⣿⣷⣿⣿⣿⡇⣿⣿⣿⣿⣿⣷⣄⠐⣶⡻⣿⣿⡇⠉⠒⢤⣬⣻⡿⢷⣶⢽⡃⠀⠸⣿⣿⣭⣭⡿⠆⠀⠀⠈⠙⣿⠛⠛⠛⠉⠛⠍⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⡿⠋⠹⣿⣿⣿⡚⢻⣿⣏⣹⣿⡀⠀⠸⣿⣷⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠉⠿⡇⠀⠀⠸⣿⣿⣿⡾⢯⢴⡇⣸⣦⣿⣿⣿⡏⡒⣀⣀⠀⢶⣴⠈⠄⡤⢤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣇⠀⠀⠈⢿⣿⣿⣶⣌⠀⠈⠛⠀⠀⠀⢽⣽⠇⠉⣐⣻⣿⣿⣿⣿⡯⣅⣿⣿⡇⢇⠀⠀⠀⠀⣢⠶⠶⠖⡿⣿⡏⠁⢼⢿⣧⣿⣯⣻⣿⣿⣥⣿⣿⣿⡇⢼⣿⣇⣿⣯⣿⣿⣷⣤⡤⢠⣄⡀⠀⠀⠀⠀⣀⣀
⠿⢛⠃⠿⠴⠆⠀⠀⠈⠛⠻⣿⣷⣄⡀⣠⣤⡌⠚⢻⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣯⣬⠁⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠈⣿⣧⡾⠟⢻⣿⣿⣿⣿⣿⣸⣿⣿⣿⠇⠸⣿⣷⣿⣾⣿⣿⣯⣻⣄⠀⡺⣿⣿⣿⣿⢿⣋⠉
⢀⠨⠀⢀⣀⣀⢠⢀⡄⠀⠀⠉⠻⣿⣿⣿⣿⣷⠄⠀⠉⢸⣿⡿⠛⠉⠛⢿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠘⠛⠒⠀⠀⠀⠀⠘⠿⣄⣴⡾⠿⠿⠿⢿⠿⠒⠈⠛⠛⠛⠶⠖⠛⠛⠺⠟⠛⠋⠛⠛⠿⢧⡈⠙⠛⠛⠲⠲⣤
⣿⡷⠀⠁⠀⠐⠀⠀⠉⠀⠂⠀⠀⠈⠙⢿⣿⣄⠀⠀⠀⠀⠸⣟⠀⠀⠀⢐⣃⣨⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢲⢤⠀⠆⠀⠐⡦⠄⠀
⠙⠁⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣦⣄⣀⠀⠛⠀⠀⠀⠀⢐⣿⣿⣿⡯⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣍⠁⠀⠐⣶⣤⣺⣿⣧⣌⢈⣽⣴⣦⣀⠀⠀⠀⠀⠋⠀⠀⠐⠂⠀⠀⠀⠈⠓⠒⠒
⠀⢠⡌⠉⠁⠀⠀⠀⠀⠀⠀⢠⣤⠀⠈⠁⠀⠀⠀⠙⣿⣿⡇⠠⠰⠶⠀⠀⠈⢛⣟⣛⣟⣛⣍⡄⡠⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠉⠛⠿⠛⠛⠿⠿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣰⣀⢪
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠉⠉⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉
⢀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠛⠻⠟⠙⠟⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡄⠀⢀⣤⣤⣴⣶⣤⡀⠀⢀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⣠⠀⢠⡀⠀⢠⡄⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣿⡏⠉⣿⡏⢹⣿⡆⣿⡏⠉⣿⡇⣿⣿⠉⣿⡇⢸⣿⠉⣿⠇⢸⣿⠀⢸⣿⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⣀⣀⣀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣷⣼⣾⣿⣿⣿⣿⡄⢀⢋⠀⠀⠀⠀⣠⣿⣭⣥⣽⣿⣭⣿⣭
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠛⠀⣠⣤⣾⣾⣿⣿⣿⣿⣿⣿⣿⣶
⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣿⣟⡁⢹⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣻⣿⣿⣿⣿⣿⢿⣿⡿⣫⣴⡻⠻⠿⠟⠅⠹⠛
⣿⣟⣿⣿⡛⠿⡟⣭⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⢻⣿⣿⢿⣿⣿⣿⣿⣟⡿⣻⣿⣏⠹⣿⣿⣿⣿⣿⣴⣾⣯⠃⣀⣀⡤⠀⢀⠀⠀⠀
⣸⢾⡿⡵⡦⠫⡂⠛⢣⡄⠙⠛⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣾⣿⣯⣼⣿⠿⠿⣹⣿⡩⠆⠏⠟⠛⣿⣿⣿⣾⣿⣿⡩⠤⠀⠹⣿⣷⣄⠉⠶⠄⡀
⣗⣶⣖⠈⣤⡀⠮⠀⠀⣰⡇⢰⠖⡀⣻⣛⠛⣿⣷⣿⣿⢿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣹⡿⠿⢿⣿⣿⡿⣛⣿⡿⠟⢋⣥⣴⣷⣿⣿⣿⣿⣾⠄⣿⣼⣿⣿⣿⠏⠁⠼⣉⡁⠀⠀⢈⣟⢻⡀⠀⠀⠀
⣿⣿⣿⣧⣙⠀⠀⢀⣾⣿⣷⣄⠀⠲⠛⢏⢰⣾⣿⣿⡗⢠⣿⣿⣷⣽⣔⣿⣿⣿⣿⡿⠛⠀⡰⣿⣿⣿⡄⠀⠀⢰⣶⣿⡾⣾⣿⣻⠐⡟⢿⡿⣿⣿⣿⣿⡟⠀⠀⣿⣿⣿⣥⣯⣤⣤⣶⣿⣿⣿⣿⠿⠟⡿⠁⠘⠃⠀
⣿⣿⣿⣿⣿⢿⣿⣶⣿⣿⣿⣿⡅⢀⢷⡿⡿⣿⣟⣿⣷⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣧⡀⣰⢏⣽⣿⣿⠉⠂⠤⣤⣿⣿⣿⣷⢾⣾⡄⣃⢸⣿⣿⣽⣽⢿⠇⠀⠀⠋⠛⣟⠛⠛⠋⠉⠛⢉⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀
⣿⡿⠋⢹⣿⣿⣭⡉⠛⠛⣿⣟⢹⣿⡆⠀⠀⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠈⠉⠀⢛⢛⠀⠀⠀⣿⣿⣿⣷⣿⡶⣿⡓⣿⣮⣿⣿⣾⡏⡇⣀⣀⠀⣶⣶⠘⠤⣤⢤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡿⠁⠀⠀⠙⢿⣿⣷⣦⣀⠀⠁⠁⠻⠃⠀⠀⠉⣩⡇⠈⠉⣛⣿⣟⣿⣿⣿⣭⣸⣿⣿⡤⢀⠀⠀⠀⢐⣶⣆⡖⣾⣿⣿⠉⠁⣿⣿⣿⣿⣿⣿⣿⣿⣩⣿⣿⣿⡄⣿⣿⣦⣿⣿⣿⣿⣯⣧⡤⢤⣀⡀⠀⠀⠀⠀⣀⣀
⠃⠀⠷⠀⠀⠀⠙⠟⠻⣿⣿⣄⠀⠀⢠⣤⣔⠂⠘⣷⣶⣤⣿⣿⣿⣿⣿⣷⣿⣿⣦⡌⠀⠀⠀⠀⠀⣞⠀⠀⠀⠈⠉⠙⣶⣦⠼⠜⢿⣿⣿⣿⣿⣿⣸⣿⣿⡿⠁⢺⣷⣾⣿⣿⣿⣿⣝⣿⣆⢐⣽⣿⣿⣿⣯⢿⣹⠭
⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠹⣿⣷⣆⣼⣿⣿⡄⠀⠉⠹⣿⣿⠿⠛⠻⢻⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠿⠀⠀⠀⠀⠀⠐⠿⡷⢀⣤⣿⠽⠿⠿⣿⠟⠛⠻⠿⠿⠷⠶⠟⠻⠻⠿⠿⠛⠛⠛⠻⠷⢅⡉⠉⠿⠛⠿⠧⣤
⠀⠀⠀⠁⠁⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣤⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠋⢩⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡿⠏⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠩⠆⠀⠐⡦⢄⠀
⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢷⣤⣀⠀⠀⠀⠨⠃⠀⠀⠀⠈⠱⣾⣿⡛⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠒⠀⢰⣤⡖⢾⣿⣌⣉⢀⣰⣀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠩⠳⠒⠒
⡀⠈⠉⠈⠀⠀⠀⠀⠀⠀⠀⣤⡄⠀⠀⠀⠀⠙⣿⣿⣦⠀⠀⠰⢶⡆⠀⠀⠪⢹⠿⠟⢟⣒⠄⢀⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠙⠛⠻⣿⡿⠿⠿⢿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢜⣫
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁
⢀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠛⠻⠟⠙⠟⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡄⠀⢀⣤⣤⣴⣶⣤⡀⠀⢀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⣠⠀⢠⡀⠀⢠⡄⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣿⡏⠉⣿⡏⢹⣿⡆⣿⡏⠉⣿⡇⣿⣿⠉⣿⡇⢸⣿⠉⣿⠇⢸⣿⠀⢸⣿⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⣀⠀⡀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⣯⣭⣤⣿⣽⣿⣿⣿⣿⠄⠀⠡⠀⠀⠀⢀⣴⣯⣽⣿⣽⣿⣭⣿⣽
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣗⡋⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦
⣿⣿⣿⣿⣿⣿⣿⣯⢹⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣌⢩⣿⣿⣿⣗⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⢹⣿⡟⣩⣴⠿⠹⢝⢻⠅⠙⠛
⣿⣿⣿⡿⠛⡿⢣⣙⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢻⣿⡿⣿⣿⣿⣿⣿⣟⣟⢿⣿⣏⣻⣿⣿⣿⣿⣧⣶⣾⡯⡀⣉⣀⡄⢀⣀⠀⠀⠀
⣟⢿⠷⣵⠆⠩⠻⠛⣀⢈⠛⠃⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣦⣿⣿⠟⢷⣻⣿⠹⡸⠋⡃⠛⣿⣿⣿⣿⣿⣿⡩⡑⠋⠿⣿⣷⣸⠉⠤⠠⡤
⣰⣾⣅⢁⣄⠈⠀⠀⣠⡿⢰⠿⠀⢙⣛⡋⣿⣿⣿⣿⣻⣿⣿⣿⣇⢻⢽⣿⣿⣿⣿⣿⡿⠛⢿⣿⣿⠏⣿⠿⠿⣿⣿⣿⢏⣻⣿⠿⠛⢡⣤⣶⣷⣿⣿⣿⣷⡿⠖⣷⣽⣿⣿⡟⠋⠀⠿⣋⡁⠀⠀⣙⣟⢫⡀⠀⠀⠀
⣿⣿⡏⢘⠃⢀⢀⣼⣿⣷⣤⡀⠲⠚⠋⣃⣫⠷⣿⣟⢃⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⢀⣾⣿⣿⠔⠀⠀⠀⣾⣿⣷⢶⣾⡿⣧⢸⡟⣿⡿⣿⣿⣿⣿⡏⠀⠐⣿⣿⣿⣽⣧⣤⣤⣶⢿⣿⣿⣿⠿⠇⡟⠉⠘⠃⠀
⣿⣿⣷⣾⣽⠿⣿⣾⣿⣿⣿⣇⠀⣾⣿⣿⣿⣟⢿⣿⣶⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣤⠀⠾⡉⣿⣿⡌⠒⠠⢤⣽⣿⣿⣻⡾⣷⣷⠀⠀⢹⣿⣯⣭⡿⠿⠀⠀⠀⠁⠻⣟⠛⠛⠋⠙⠊⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠉⢻⣿⣿⣷⠍⠉⠋⠻⢿⣿⠉⣿⣷⠀⠀⢸⣿⣾⢽⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⡟⠀⠁⠁⠉⠙⠁⠀⠀⢺⣿⣿⣿⣾⣿⣶⣷⢊⣿⣸⣿⣿⣾⠭⢇⣀⣀⠸⣶⡆⠩⢤⣤⢤⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠹⣿⣿⣷⣦⡀⠀⠀⠉⠁⠙⠋⠀⠀⠀⣉⣡⠀⠉⣙⣿⣟⢻⣿⣿⣯⡅⣿⣿⡇⠤⠄⠀⠀⠀⢼⡶⣶⢰⣿⣿⡏⠋⢨⣿⣿⣼⣿⣿⣿⣿⣿⣾⣮⣿⣿⢀⣿⣿⣸⣿⣿⣿⣿⣮⣧⡤⢤⣀⡀⠀⠀⠀⠀⢀⣀
⠀⠄⠀⠀⠛⠟⠻⢿⣶⣿⠇⠀⠀⠀⣤⣤⠃⠀⢿⣶⣦⣼⣿⣿⣿⣿⣿⣾⣿⣶⣤⠁⠀⠀⠀⠀⢰⡄⠀⠀⠀⠉⠉⣵⣦⣠⡦⠽⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⢿⣶⣾⣿⣯⣽⣟⣛⣷⡀⣀⣿⣿⣿⣿⣯⢿⢽⢁
⠀⢀⣀⠀⡀⠀⠀⠈⠻⣿⣧⣤⠆⣸⣿⣿⣇⠀⠈⠉⣿⣿⡿⠟⠛⠿⣽⣿⣿⣿⣿⠀⠀⠀⠀⠀⠿⠇⠀⠀⠈⠀⠀⠸⣿⡇⢀⣤⡿⠻⠿⢿⣿⡗⠛⠿⠿⠿⠶⠶⠿⠷⠿⠿⠿⠛⠙⠛⠻⠾⣅⡉⠙⠿⠛⠶⢦⣤
⠀⠀⠀⠉⠁⠀⠀⠀⠀⠉⠿⣿⣿⣿⡠⡁⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠈⠋⠹⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠠⠡⠒⢀⠰⣠⣀⣀
⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣆⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⢷⣿⣿⣲⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡓⠂⠀⢤⣤⣰⣾⣷⣈⣉⢀⣆⣄⡀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠹⠶⠖⠂
⠈⠉⠛⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠉⠛⣿⣶⣤⣠⡂⠀⠀⡴⡶⠀⠀⢀⠩⡟⠛⠟⡖⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠈⠙⠛⠿⣿⠿⠿⠿⠿⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠈⠁⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠉
⢀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠛⠻⠟⠙⠟⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡄⠀⢀⣤⣤⣴⣶⣤⡀⠀⢀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⣠⠀⢠⡀⠀⢠⡄⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣿⡏⠉⣿⡏⢹⣿⡆⣿⡏⠉⣿⡇⣿⣿⠉⣿⡇⢸⣿⠉⣿⠇⢸⣿⠀⢸⣿⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⡀⢀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣵⣶⣯⣿⣿⣿⣿⣶⠀⣘⡄⠀⠀⠀⣀⣼⣯⣽⣿⣯⣽⣿⣽⣽
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⡋⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴
⣿⣿⣿⣿⣿⣿⡍⣻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣷
⣿⣿⣿⣿⣿⢿⣥⣉⣽⣿⣿⣿⡝⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣯⣿⣿⣛⣥⡾⠟⠓⠛⠉⠀⠙⠛
⣿⣿⠿⠙⣗⢈⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⣿⣿⢿⣿⣿⣿⣿⣿⣻⡯⣿⣿⣍⣻⣿⣿⣿⣿⣦⡖⣿⡇⣀⣁⣠⠄⢀⣀⠀⠀⠀
⣿⢿⣲⠆⢘⠛⢡⢀⡉⠉⠀⠻⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣬⣿⣷⣼⣿⢿⠿⣾⣿⡇⠓⠙⢸⠃⢻⣿⣿⣿⣿⣿⣿⣅⠐⠋⢿⣿⣷⣸⠊⠦⠤⠴
⣾⡆⢡⣄⠈⠀⢀⡾⠃⠶⠓⠈⣛⡟⢽⣿⡿⣿⣿⠿⣿⣿⣿⣿⣩⣭⣿⣿⣿⣿⣿⣟⡋⠻⣿⣿⠷⠿⠛⠿⣿⣿⣿⢯⣿⣿⠿⠛⣩⣤⣶⣿⣿⣿⣿⣿⣿⠦⣰⣶⣿⣿⣿⡟⠁⠰⠏⣏⣀⠀⢀⣋⡛⣇⠀⠐⠀⡀
⢛⠋⢈⡃⠀⢠⣿⣿⣇⡀⠀⠶⠻⢃⢁⡾⢶⣿⡿⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⢀⣴⣿⡷⡃⠀⠀⠰⣶⣿⣿⠷⣾⣿⣿⡄⢾⢿⣿⣿⣿⣿⣿⣿⠃⠀⢸⣿⣿⣿⣽⣧⣤⣴⡾⣿⣿⣿⣿⠟⠳⠏⠁⠀⠀⠀
⢿⣧⣾⣿⡿⣿⣿⣿⣿⣿⡀⡰⢾⡿⣿⣷⡿⣿⣿⣶⣿⣿⣿⣪⣿⣿⣿⣿⣿⣿⣦⠀⠰⢯⢿⣷⠈⠒⢤⣦⣿⣿⣿⣟⣳⡿⣟⡅⢐⠘⣿⣿⣭⣿⡿⠏⠀⠀⠘⠛⢿⡛⠛⠛⠉⠛⠊⣥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡼⠿⠿⠮⠭⠙⠻⠿⣿⡋⢹⣷⡀⠀⠀⣿⣷⡾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠉⠀⠀⠀⠀⠸⣿⣿⣿⡾⣯⣿⣇⣿⡗⣻⣦⣿⣿⣷⣯⠬⣁⣀⡀⢰⣶⠌⠧⢤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣦⡀⠀⠀⠀⠀⠀⠈⠁⠈⠿⠃⠀⠀⠉⣉⡁⠈⠉⣙⣿⡿⣿⣿⣿⣿⠉⣿⣿⣧⠠⢀⠀⠀⢰⣦⣤⡤⣽⣿⣿⡁⠛⠫⢹⣿⣗⣿⣿⣿⣿⣿⣇⣷⣽⣿⡇⢸⣿⣇⣽⣿⣿⣿⣿⣬⣤⠴⣤⣀⡀⠀⠀⠀⠀⣀⢀
⠻⠿⢿⣷⣦⣤⣤⢰⣆⠀⠀⠀⢠⣤⡔⠀⠺⣷⣦⣤⣼⣿⣿⣿⣿⣿⣼⣿⣦⣤⠁⠀⠀⠀⠀⡎⠉⠉⠀⠙⠛⠻⣷⣦⣀⣸⣹⣷⣿⣿⣿⣿⣿⣹⣿⣿⣿⡇⠰⣶⣶⣾⣿⣽⣿⣟⣛⣥⡀⣀⣿⣿⣷⣾⣿⣟⣻⣥
⠀⠀⠀⠹⣿⣿⣆⠀⢱⠀⠴⢀⣿⣿⣷⡀⠀⠉⠙⣯⣿⡿⠟⠛⠿⣭⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⠄⠀⠀⠀⠀⠀⠿⣿⣯⠉⠀⣸⡿⠿⢿⣿⣿⠿⠿⠿⠿⠶⠶⠭⠿⠿⠭⠽⠿⠟⠻⠿⠿⣾⣀⠉⠹⠿⠿⠿⢭⣅
⠀⠀⠀⠀⠈⠻⣿⣿⣎⠀⠀⠘⢏⡉⠉⠀⠀⠀⠂⠀⢸⡀⠀⠀⠀⠙⠉⣻⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡿⢀⣴⠛⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⠤⡉⣁⠂⠀⠰⣠⡀⠀
⠀⠀⠀⠀⠀⠀⠉⠻⣿⣷⡀⠀⠊⠓⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠐⢻⡿⢿⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⢶⡦⠀⢤⣤⡤⣶⣶⣆⠈⠐⢀⣀⡀⠀⠀⠀⠀⠀⠠⠆⠀⠀⠀⠀⠀⠀⠀⢳⣷⠤⠤
⠛⠒⠀⠀⠀⠀⠀⠀⠈⣙⠻⣷⣶⣀⠀⠀⠀⠀⣠⠀⠀⠀⡠⣤⠀⠀⠀⠘⠛⢡⡸⢠⢠⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠔⠋⠀⠀⠈⠛⠃⠿⠿⡿⣿⡿⣿⣿⣿⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢐
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠈⠉⠉⠉⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠉⠉⠁⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉
⢀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠛⠻⠟⠙⠟⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⣄⠀⠀⣤⣤⣴⣶⣤⡀⠀⠀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⣠⠀⢠⠀⠀⢠⡄⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣿⡏⠉⣿⡏⢹⣿⡆⣿⡏⠉⣿⡇⣿⣿⠉⣿⡇⢸⣿⠉⣿⠇⢸⣿⠀⢸⣿⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⡀⣀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣾⣿⣿⣿⣦⠀⣘⠂⠀⠀⠀⣀⣼⣯⣽⣯⣭⣽⣭⣽⣻
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣻⠃⢠⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴
⣿⣿⣿⣿⣿⣿⡉⢻⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⡿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣷
⣿⣿⣿⣿⣿⢿⣭⣉⣽⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⡟⣿⣿⣛⣥⡾⠟⠷⠛⠋⠀⠙⠛
⣿⣿⠿⢙⡓⢊⡛⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⠛⣿⣿⢿⣿⣿⣿⣿⣿⣻⡟⣿⢿⣉⣻⣿⣿⣿⣿⣦⡖⣿⡇⣀⣁⣠⠄⢀⣀⠀⠀⠀
⣿⢿⣲⠆⢘⠋⠣⢀⡉⠉⠉⠿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣷⣼⣿⢿⠿⣿⣿⡇⠃⠘⢸⠃⢻⣿⣿⣿⣿⣿⣿⣅⠀⠋⢿⣿⣷⣸⠁⠢⠠⠴
⣾⡆⢡⣄⠈⠀⢀⡾⠓⠶⠷⠈⣿⡛⢹⣿⡿⣿⣿⡻⣿⣿⣿⣷⣋⣽⣿⣿⣿⣿⣿⣟⡫⠻⣿⣿⠷⠿⠻⠻⣿⣿⣿⣯⣿⣿⠿⠛⣯⣤⣴⣿⣿⣿⣿⣿⣶⡥⣪⣾⣿⣿⣿⡟⠁⠠⠟⣉⡀⠀⢀⣋⡛⣇⠀⠀⠀⡀
⢛⠋⢈⡁⠀⢠⣿⣿⣆⡀⠐⠦⠻⢃⢁⡾⢶⣿⡿⠀⣾⣿⣿⣾⣿⣿⣿⣿⣿⣿⠟⠋⢀⣴⣿⡷⡓⠀⠀⠴⣶⣾⣷⡿⣿⣿⣿⠄⣿⢿⣿⣿⣿⣿⣿⣿⠃⠀⢸⣿⣿⣿⣼⣥⣤⣴⠾⣿⣿⣿⣿⠟⠳⠏⠁⠐⠀⠀
⢿⣧⣾⣿⡿⣿⣿⣿⣿⣿⡀⠰⢿⡾⣿⣷⡻⣿⣷⣾⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣦⠄⠰⢯⢽⣷⠉⠲⢥⣤⣽⣿⣿⣻⣟⢿⣾⡄⣉⠙⣿⣿⣭⣽⣿⠏⠀⠈⠘⠛⢿⡛⠛⠛⠉⠓⠀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡼⠿⠿⠾⠍⠙⠻⠿⣿⡋⢹⣿⡄⠀⠀⣿⣷⡮⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠈⠠⠁⠀⠀⠸⣿⣿⣿⣾⣯⣿⣇⣼⡟⣿⣦⣿⣿⣷⣯⠵⣁⣀⡀⢰⣶⠌⠧⢤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣦⡀⠀⠀⠀⠀⠀⠈⠁⠈⠛⠃⠀⠀⠉⢋⡁⠈⠉⣙⣿⡿⣿⣿⣿⣿⠉⣿⣿⣧⠀⠄⠀⠀⢠⣶⣦⡦⣾⣿⣿⡁⠛⠫⢹⣿⣗⣿⣿⣿⣿⣿⣇⣵⣽⣿⡇⢸⣿⣇⣽⣿⣿⣿⣿⣭⣤⠴⣄⣀⡀⠀⠀⠀⠀⣀⣀
⠻⠿⢿⣷⣦⣤⣦⢰⣷⠀⠀⠀⢠⣤⡔⠀⠺⣷⣦⣤⣽⣿⣿⣿⣿⣿⣼⣿⣦⣤⠁⠀⠁⠀⠀⡎⠉⠉⠀⠙⠛⠻⣷⣦⣀⣸⣹⣷⣿⣟⣿⣿⣿⣽⣿⣿⣿⡇⠰⣶⣶⣿⣿⣿⣿⣿⣿⣇⡀⣀⣿⣾⣶⣾⣿⣟⣻⢒
⠀⠀⠀⠹⣿⣿⣇⣀⢹⠀⠴⢀⣿⣿⣷⡀⠀⠉⠙⣯⣿⡿⠟⠻⠿⣭⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⠆⠀⠀⠀⠀⠀⢿⣿⣿⠉⠀⣸⣿⠿⢿⣿⣿⠿⠿⠿⠿⠶⠦⠽⠯⠿⠭⠿⠿⠛⠻⠿⠿⣮⣁⠉⠻⠿⠿⠿⢭⣄
⠀⠀⠀⠀⠈⠻⣿⣿⣎⠀⠀⠘⢏⡉⠉⠁⠀⠀⠂⠀⢸⡁⠀⠀⠀⠘⠉⢻⣿⣋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⡿⢀⣼⠛⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⡤⣈⣑⠀⠀⠤⢠⡀⠈
⠀⠀⠀⠀⠀⠀⠈⠻⣿⣷⡀⠀⢀⠓⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠐⢻⣿⣟⣢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⣶⡦⠀⢤⣤⡤⣶⣶⣆⠉⠐⢀⣀⢀⠀⠀⠀⠀⠀⠠⠆⠀⠀⠀⠀⠀⠀⠀⢳⣶⠤⠤
⠛⠒⠀⠀⠀⠀⠀⠀⠀⡉⠿⣷⣶⣀⠐⠀⠀⠀⣠⠀⠀⠀⡀⡤⠀⠀⠀⠸⠟⠒⢚⠀⡀⣂⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠊⠀⠀⠈⠛⠋⠟⠿⠿⣿⣷⣿⣿⣿⣷⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠈⠉⠉⠉⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠉⠉⠉⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉
⢀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠛⠻⠟⠙⠟⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡄⠀⢀⣤⣤⣴⣶⣤⡀⠀⢀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⣠⠀⢠⡀⠀⢠⡄⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣿⡏⠉⣿⡏⢹⣿⡆⣿⡏⠉⣿⡇⣿⣿⠉⣿⡇⢸⣿⠉⣿⠇⢸⣿⠀⢸⣿⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⢸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⡀⢀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣥⣽⣾⣷⣿⣿⣿⣿⣄⠀⡶⠄⠀⠀⠀⣠⣾⣯⣽⣭⣿⣿⣽⣩⣯
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢇⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶
⣿⣿⢿⣿⡇⠸⡿⣿⣻⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣶
⣿⣿⣿⣿⣯⣄⣰⣿⣿⣿⣧⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⠽⣿⣟⣫⣴⣾⣿⣗⠋⠒⠈⠟⠁
⢿⠿⠑⠖⢩⠻⣿⣿⡷⣟⣿⣿⣼⣼⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢻⣿⠟⣿⣿⣿⣿⣿⣟⣿⡻⣿⣯⣙⣿⣿⣿⣿⣿⣴⣶⣿⣿⣿⣿⣿⣿⡀⡀⠀⠀⠀
⠿⠀⠀⠈⠋⡄⡈⠉⠀⠘⢿⣿⣿⣿⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣿⣿⣷⣿⠿⢿⣿⣿⣿⠸⠫⠋⡻⠘⢻⣿⣿⣿⣿⣿⣫⡡⠾⢿⣿⣿⣿⣿⠀⡆⡠⠄
⡇⢀⣄⠀⠀⣰⡇⠰⠆⠀⢚⣛⠛⡿⡟⢹⣽⣿⠙⢿⣿⡿⣝⢩⣯⠟⣿⣿⣿⣿⣿⠋⠛⠿⡿⡿⠿⠿⣿⣿⣿⢿⣿⣿⠿⡟⠛⢠⣴⣴⣾⣿⣿⣿⣿⣿⣿⠆⣷⣽⣾⣿⣿⠿⠋⠫⠙⣀⠀⠈⠻⢛⣋⣅⠀⠂⠀⠀
⠃⠈⠁⠀⣼⣿⣧⣀⠀⠠⠘⠋⠀⣩⠇⣾⣿⠟⠀⣿⣿⣧⣷⣔⣿⣿⣿⣿⣿⡿⠉⠀⣰⣶⡆⠀⠀⢠⣾⣾⣶⣿⡿⢿⣿⢿⠇⢹⡏⣿⣿⣿⣿⣿⣿⡟⠀⡀⣿⣿⣿⣿⣿⣤⣤⣬⢿⣿⣿⣷⡿⠛⢸⠇⠀⠀⠀⠀
⣦⣼⣿⣿⢿⣿⣿⣿⡅⠀⣴⡶⣿⣿⣾⢿⣿⣇⣷⣿⣿⣿⢘⣿⣿⣿⣿⣿⣿⣧⠀⢸⣯⠿⠐⠠⢄⣄⣿⣿⣿⠿⣿⣿⣿⣿⠆⢈⡁⢹⣿⣿⣭⣽⣿⠃⠀⠀⠛⠻⣟⠛⠛⠛⠙⠛⠋⠠⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠿⠴⠍⠙⠿⢿⡿⠙⣿⣆⠀⠀⢸⣿⣧⢻⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⡿⠀⠀⠁⠀⠀⠀⠸⣿⣿⣿⣯⠀⢹⣿⣷⣠⣽⢼⣷⣸⣿⣿⣾⣭⡅⣀⣀⠀⣶⣶⠘⠤⣤⢄⣄⡀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠀⠻⠋⠀⠀⠈⠙⠋⠀⠉⠉⢻⣿⣟⣿⣿⣿⣟⠉⣽⣿⣧⠀⠄⠀⢀⣤⣤⡀⣽⣿⣿⣿⡀⠘⢿⡟⢿⣿⣼⣿⣿⣿⣿⣿⢰⣾⣿⣿⠀⣭⣿⡆⣿⣿⣻⣿⣟⣿⣤⢤⡀⠀⠀⠀⠀⠀⠀⠀⣀
⣀⠠⠄⢀⣤⡤⣴⡄⠀⠀⠀⣦⣀⠀⠈⢮⣤⣤⣄⣿⣿⣷⣿⣿⣏⣼⣷⣌⣭⡏⠀⠆⠀⠘⠋⠋⠈⠙⠛⠻⢿⣴⣀⡀⠀⡾⢧⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⠀⢴⣶⣼⣿⣿⣿⣛⣟⣻⣇⠀⢉⣿⣿⣶⣶⣸⣿⢭⠽
⣷⣄⠀⠈⠉⠀⠉⠀⢀⡄⢸⣿⣿⣆⠀⠘⠛⠿⣝⣿⡿⠟⠹⢿⣿⣿⣿⣿⣿⡇⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⡾⠗⠛⣟⣿⣿⣿⣿⡯⠿⣿⡿⣷⣤⣬⣽⡿⠽⣽⣿⠿⠿⠿⠿⣷⣖⠈⠛⠻⡿⠿⠯⣍⣁
⢿⣿⣷⡄⠐⠀⠢⠃⠀⠀⠿⡛⠉⠉⠀⠀⠰⠀⠈⢹⠀⠀⠀⠀⠙⠛⢻⣿⠉⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠈⠉⠙⣿⡇⠀⡸⠏⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣁⠙⢢⠄⠠⢤⢀⠈⠉
⠀⠙⢿⣿⣷⡄⠀⠀⠀⠀⠀⠈⠌⠀⠀⠀⠀⠀⠀⠨⠄⠀⠀⠀⠀⠀⠬⣿⢙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠇⠀⣤⡀⢀⣀⣀⣠⣤⣤⠀⠀⠄⠄⠀⠀⠀⠀⠀⠀⠀⠠⡀⠀⠈⠀⠈⠀⠈⠁⢲⣭⣉⣉
⠀⠀⠀⠛⢿⣿⣆⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⢀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠨⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠐⠻⠟⠪⣿⣿⣷⣶⣶⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⡀
⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈
⢀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠛⠻⠟⠙⠟⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡄⠀⠀⣤⣤⣴⣶⣤⡀⠀⠀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⣠⠀⢠⡀⠀⢠⡄⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣿⡏⠉⣿⡏⢹⣿⡆⣿⡏⠉⣿⡇⣿⣿⠉⣿⡇⢸⣿⠉⣿⠇⢸⣿⠀⢸⣿⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⡇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⡀⢀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣧⣶⣾⣿⣿⣿⣿⣷⡄⢀⡖⠄⠀⠀⠀⣠⣿⣯⣿⣿⣯⣽⣭⣱⣭
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡅⠈⣠⣴⣾⣿⣯⣿⣿⣿⣿⣿⣿⣿⡶
⣿⣿⣿⠏⠘⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⢿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣶
⣿⣿⣿⣿⣤⣠⣿⣿⣿⣯⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠯⣿⣟⢫⣴⡾⠛⠓⠛⠂⠈⠛⠁
⡿⠏⠠⠈⠻⢻⣿⡿⣟⢿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⣿⣿⣛⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣶⣿⡀⢀⣂⣠⠀⠀⡈⠀⠀⠀
⡇⠆⠀⠊⠄⠈⠉⠁⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡾⠏⡛⠻⣿⣿⣿⣿⣿⣿⣋⠁⠁⠈⣿⣿⣄⡏⠽⠤⡠⠄
⠀⣠⠀⠀⢀⣷⠀⠖⠂⢘⣛⡛⣻⣯⠻⣽⣿⡟⢻⣿⣿⡏⡍⣙⣿⣿⣿⣿⣿⣿⣿⠻⢻⣿⢿⢿⣿⣿⣿⡿⣻⣿⠿⡿⠛⣁⣠⣔⣶⣾⣿⣿⣿⣿⣿⣿⣦⢠⣦⣾⣿⣿⣿⠏⠀⠼⢛⡀⠀⠀⢈⢛⡛⡇⠀⠂⠀⠀
⠀⠛⠀⢰⣿⣿⣀⠀⠠⠘⠋⠀⢂⡽⢴⣿⡻⠃⢸⣿⣿⣟⣷⣾⣿⣿⣿⣿⣿⠟⠁⠡⡴⠎⠀⠀⣤⣭⣮⣼⣯⣷⣿⢾⣿⣛⡇⢻⢿⣿⣿⣿⣿⣿⣿⠟⠁⠀⣿⣿⣿⣯⣿⣤⣤⣶⣾⣿⣿⣿⣿⠿⢸⠏⠀⠐⠀⠀
⣴⣿⣿⣿⣿⣿⣿⡇⠀⢤⣶⢷⣿⣧⣻⣿⣧⣰⣿⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⡄⢈⠮⠇⠓⢤⣀⡀⣿⣿⣿⡿⢿⣿⣿⢾⣿⡃⢐⠈⣿⣿⣏⣽⣿⣿⠀⠀⠁⠛⢹⣟⠛⠛⠛⠛⠒⠉⠈⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀
⠿⣧⠎⠉⠿⢿⡿⠟⣰⣦⠀⠀⠨⣿⣷⠛⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⢀⠀⠀⣼⣿⡏⣿⣿⠁⠈⣻⡿⣷⢨⡗⣾⣦⣿⣿⣿⣾⣯⡇⣀⡀⠰⣶⣾⠹⠤⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠙⠀⢻⠟⠀⠀⠀⠙⠛⠀⠘⠉⠻⣿⣿⣿⣿⣿⣿⡛⢹⣿⣿⡄⠀⠀⢀⣄⣀⢀⣿⣿⣿⣿⣧⠀⠹⣿⠿⣿⣧⣿⣿⣿⣿⣿⡏⣨⣽⣿⣿⢀⣽⣿⣤⣿⣟⣿⣿⣟⣻⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⢀
⣀⡠⢤⣤⣄⣠⡤⠀⠀⠀⢰⣀⠀⠀⢸⣧⣤⣀⣨⣿⣯⣾⣿⣿⣯⣾⣮⣙⣽⠃⢰⠀⠸⠛⠃⠘⠛⠛⠻⠿⢿⣧⡀⠀⠠⣿⣧⣿⣿⣿⣿⣿⡏⣿⣿⣿⣿⠀⣿⣶⣬⣿⣿⣿⣻⡿⢿⣁⠀⢹⣿⣿⣶⣶⣾⣾⣿⣬
⠀⠀⠈⡙⠋⠀⠃⠀⡀⢀⣿⣿⣆⠀⠘⠿⠿⢿⣿⣿⡿⠛⠿⣿⣻⣿⣿⣿⣿⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣷⣾⠡⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣬⣿⣿⣟⣿⣿⣿⠿⠿⢿⣿⣟⠘⠛⣿⣿⢿⣿⣍⡀
⣯⠂⠃⠳⠄⠰⠂⠀⠀⠾⣟⠛⠙⠀⠀⠰⠄⠈⠙⡏⠀⠀⠀⠙⠻⠛⡿⡞⠃⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡇⠀⣼⠉⠀⠀⠙⠉⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣈⡈⠻⢠⢀⠀⣤⠀⠈⠙
⣿⣿⣄⠀⠀⠀⠀⠀⠀⢀⠝⠣⡀⠀⠀⠀⠀⠀⠀⠧⠀⠀⠀⠀⠀⠄⢘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡗⢐⣁⠀⢀⠀⠀⣀⣤⡄⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢀⠀⠉⠄⠁⠉⠐⠁⢠⣍⣁⣁
⠙⣿⣿⣧⡀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⣀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠁⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠘⠁⠀⡼⠿⠿⢝⣿⣿⣶⣆⣶⣷⣾⣷⣄⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠠⠤
⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀
⢀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠛⠻⠟⠙⠟⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡄⠀⠀⣤⣤⣴⣶⣤⡀⠀⠀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⣠⠀⢠⡀⠀⢠⡄⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣿⡏⠉⣿⡏⢹⣿⡆⣿⡏⢉⣿⡇⣿⣿⠉⣿⡇⢸⣿⠉⣿⠇⢸⣿⠀⢸⣿⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⣀⣀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣶⣾⣽⣿⣿⣿⣷⠀⢐⣦⠀⠀⠀⠀⣠⣿⣭⣿⣯⣯⣿⣏⣧⣷
⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⡿⡉⠀⣠⣴⣿⣿⣿⣿⣿⣿⣯⣿⣿⣷⡶
⣿⣿⣿⠉⣻⣿⣻⣿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⡾
⣿⣾⣿⣤⣀⣾⣿⣿⣷⣼⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⠽⣿⣟⢋⣴⡾⠏⠛⠛⠃⠈⠛⠉
⠿⠀⠺⢻⢿⣿⣿⣿⣻⣿⣷⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣿⡇⡙⣿⣿⣿⣿⣷⣴⣶⣿⡀⢀⣂⣤⠀⢀⡈⠀⠀⠀
⠀⠀⠀⢁⠈⠙⠁⠈⠻⢿⣿⣿⣿⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠘⠚⠋⠟⠛⣿⣿⣿⣿⣿⣿⣋⡄⠐⠻⣿⣿⣄⡇⠀⠄⣠⠄
⢠⡄⠀⠀⣮⠐⠖⠂⠀⣛⡟⢹⣿⡛⣯⢻⣿⠙⣿⣿⣿⣻⡉⢉⢻⣿⣿⣿⣿⣿⡿⢞⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣫⣭⣷⣶⣱⣿⣿⣿⣿⣿⣿⣿⣶⣶⢀⣶⣾⣿⣿⣿⠋⠀⠼⣉⡀⠀⠀⢈⢛⢛⡅⠀⠂⠀⠀
⠈⠃⢠⣽⣷⣀⠀⠀⠄⠋⠁⠀⣸⣁⣿⡞⠛⠀⣾⣿⣧⣿⡒⣿⣿⣿⣿⣿⡿⠋⠀⠴⠀⠈⠈⠉⣈⣿⣿⣥⣶⣿⢿⢿⣿⡿⠁⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⢸⣿⣿⣿⣯⣷⣤⣤⣶⣷⣿⣿⣿⣿⠟⢸⠋⠀⠐⠁⠉
⣼⣿⣿⣿⣿⣿⣇⠀⢠⣠⣼⣾⣷⡿⣿⣷⡀⣦⣿⣿⣿⢹⣷⣿⣿⣿⣿⣿⣅⡀⠈⡰⢄⡀⠀⠐⣿⣿⣿⣿⠿⣿⣛⡾⠆⢧⡀⣋⢹⣿⣾⡯⣿⣿⡿⠀⠀⠘⠋⠿⡟⠛⠛⠛⠛⠒⢉⠈⠀⠉⠀⠀⠀⠀⠀⠀⠀⠉
⣯⣨⡈⢿⢿⡿⠟⢰⣦⠀⠀⠉⣿⣿⡜⣻⢿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⡟⠀⠀⠁⠀⢨⣿⡶⣸⣿⣿⣏⠀⠘⢿⣿⣌⣹⡧⣿⣆⣿⣿⣿⣿⣟⠁⡀⠀⢰⣦⡄⢣⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠛⠀⠸⠿⠀⠀⠀⠙⠻⠃⠀⠉⠙⢿⣿⠿⣿⣿⣿⠟⠉⣻⣿⣇⠀⠀⢀⣀⡀⢹⣿⣿⣿⣿⣿⣦⠀⢻⣷⡿⣿⡷⣿⣿⣿⣿⣿⡏⣮⣿⣿⣇⢨⣽⣿⢔⣶⣛⣿⣿⣯⣀⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⣀
⡀⠤⣠⣄⡀⣤⠀⠀⠀⢠⣄⠀⠀⠸⣧⣄⣀⣀⣽⡿⣵⣿⣿⣟⣩⣶⡝⣋⡛⠀⠇⠻⠿⠁⠛⠉⠛⢻⠿⢻⣿⣤⠀⠉⢀⣿⣜⣿⣿⣿⣿⣿⠣⣿⣿⣿⡿⠀⣯⣭⣽⣿⣿⣿⠿⠿⢻⡁⠀⢹⣿⣶⣶⣶⣶⣼⡝⡽
⠀⠀⠙⠙⠁⠙⠀⡀⠀⣾⣿⣧⠀⠀⠿⢿⣿⣛⣷⣿⠿⢻⣿⣟⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣷⣤⡖⣸⣿⣿⣿⣿⣿⣿⣟⢿⣿⣿⣧⣄⣙⣻⣟⣛⣻⣿⣿⡿⢿⣷⣤⣛⠙⠷⣿⣿⣿⣯⣒⠀
⠫⠀⠀⠀⠀⡄⠀⠉⠰⣿⠛⠛⠂⠀⠀⡄⠁⠉⢻⠁⠀⠀⠈⠻⠟⣿⢷⡛⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣍⢸⠏⠉⠉⠉⠛⠑⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠉⠁⠀⠀⠀⢀⣈⠙⠛⢠⠀⠀⣀⢀⠈⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⡀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⣩⣟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢽⣷⢙⠀⠀⠀⠀⠀⣀⣀⡀⠠⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠉⠁⠁⠈⠘⠀⢬⣘⠓⡀
⣷⣤⠀⠀⠀⠀⠀⠀⠸⢀⡀⠀⠀⠀⠀⢀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠉⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠇⠈⠉⢀⡟⣿⡯⣽⣿⣷⣦⣄⣤⣶⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠈⠍
⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠛⠻⠟⠙⠟⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⣄⠀⠀⣤⣤⣴⣶⣤⡀⠀⠀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⣠⠀⢠⡀⠀⢠⡄⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣿⡏⠉⣿⡏⢹⣿⡆⣿⡏⠉⣿⡇⣿⣿⠉⣿⡇⢸⣿⠉⣿⠇⢸⣿⠀⢸⣿⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⡀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⢀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣶⣿⣾⣿⣿⣿⣷⠀⣠⣶⠀⠀⠀⠀⣠⣿⣭⣯⣧⣿⣮⣚⣤⣷
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡍⢀⣠⣴⣿⣿⣿⣿⣿⣿⡷⣵⣿⣿⡶
⢿⣿⠄⢺⣿⣯⣻⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⡿
⣷⣿⣥⣄⣿⣿⣿⣿⣼⣿⣿⣿⣯⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⢽⣿⣟⣫⣴⡿⠏⢚⠋⠁⠈⠛⠉
⠇⠸⠛⠿⣿⣿⣿⣻⣿⣷⣷⣿⣿⣶⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⡿⢿⣿⣿⣿⣿⣿⣿⡿⢿⣿⡏⣛⣿⣿⣿⣻⣷⣴⣼⣿⡀⢰⣀⣤⠀⢀⡈⠀⠀⠀
⠂⠀⠀⠀⠙⠃⠀⠛⢿⣿⣿⣿⣿⢿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣸⣿⣿⣿⣿⣿⡏⠸⠝⢻⡓⠻⣿⣿⣿⣿⣿⣟⣯⠄⠐⢮⣿⣷⣄⡏⠌⠄⡠⠀
⣠⠀⠀⠸⠀⠶⠂⠀⣛⡛⠛⣿⡿⣱⡙⣿⡏⢻⣿⣿⣿⣃⢹⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣼⣿⣿⣿⣿⣿⣿⣿⣶⡦⣰⣧⣶⣿⣿⣿⠋⠀⠜⢉⡁⠀⠀⠈⢛⢛⡅⠀⠂⠀⠀
⠙⢠⣮⣷⣀⠀⠀⠀⠘⠋⠈⣨⠅⣾⣇⠻⠁⢰⣿⣿⣯⣧⢺⣿⣿⣿⣿⣿⡿⠋⠈⠙⠻⠿⣫⣿⣾⣿⣿⣿⣿⣿⣿⣿⡿⡿⠀⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⢸⣿⣿⣿⣿⣿⣠⣤⣤⣶⣿⣿⣿⣿⠟⢼⠋⠀⠐⠉⠁
⣿⡿⣿⣿⣿⣷⠀⠀⣄⣤⣶⣿⡄⢿⣿⡆⢰⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⡀⠀⢨⢀⡀⠀⡹⣿⣿⣿⣿⡿⠻⣿⣛⡿⠇⡿⡀⡁⢸⣷⣿⠿⣿⣿⣿⠀⠀⠘⠛⢻⡟⠛⠛⠛⠛⠛⢉⡈⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀
⣍⡎⢿⣿⡿⠟⢀⣦⠁⠁⠉⢹⣿⣦⢛⣿⣿⣿⣿⣿⡇⣻⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⢿⣷⢱⣿⣟⣿⣟⡀⠀⠛⢿⣭⣜⣹⢩⣿⡼⣿⣿⣿⣟⢛⢁⠀⠀⢰⣤⡌⢣⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠙⠂⠈⡿⠇⠀⠀⠘⠻⠃⠀⠉⠛⠻⣿⣿⣿⣿⣿⡟⠛⢻⣿⣿⡀⠀⠀⣀⠛⣿⣾⣿⣿⣿⣿⣿⡆⠀⢸⣿⣿⣿⣨⣿⣯⣿⣿⣿⡏⣮⣛⣿⣇⢘⣿⣿⣔⣶⣷⣿⣿⣿⣒⣠⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀
⢀⠄⣄⡀⣠⠄⠀⠀⠀⠤⠀⠀⠀⣮⣄⣀⣀⣨⣿⣦⣴⣿⣿⣋⣽⣜⢛⡛⠋⠸⠚⠁⠛⠃⠘⢻⣿⡿⠯⣿⣿⣤⠈⠋⠉⣿⣼⣿⣿⣿⣿⣿⢻⣿⣿⣿⡿⠨⣭⣭⣽⣿⣍⡿⠻⠿⢿⣉⠀⢻⣿⣶⣦⣶⣲⣶⡟⢉
⠀⠐⠟⠋⠘⠀⠀⠀⢸⣿⣷⠀⠀⠻⠿⣿⣿⣿⣿⣿⠽⣿⣿⣿⣿⣿⣿⣿⠀⠀⢀⠀⠀⠀⠀⠀⠉⠀⠀⠘⠻⠿⣦⣠⡜⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣄⣛⣿⣿⣟⣿⣿⣿⢿⣿⣿⣦⣛⠙⠷⣿⣿⣿⣟⣊⠐
⢐⠸⠠⠀⡀⠀⠈⠠⣿⡿⠻⠇⠀⠀⢀⠉⠑⠛⡏⠀⠀⠁⠙⡿⠿⢻⣾⠏⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠂⣿⠉⠁⠉⠙⠚⠒⠈⠀⠈⠉⠉⠉⠉⠉⠈⠉⠉⠉⠀⠀⠀⠀⠙⠛⠲⢀⣀⠁⣀⠀⠉⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠱⣀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⢀⡈⠙⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡧⣏⠀⠀⠀⠀⠀⢀⣀⡀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠈⠙⠃⠓⠙⠐⠠⢌⣚⠓⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠉⠁⠰⢷⣶⢞⣟⣿⣧⣤⣄⣭⣤⣦⣂⡀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠋⠁
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠛⠻⠟⠙⠟⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡄⠀⢀⣤⣤⣴⣶⣤⡀⠀⠀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⣠⠀⢠⡀⠀⢠⡄⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣿⡏⠉⣿⡏⢹⣿⡆⣿⡏⠉⣿⡇⣿⣿⠉⣿⡇⢸⣿⠉⣿⠇⢸⣿⠀⢸⣿⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣷⣶⣿⣾⣿⣿⣿⣇⠀⣀⡉⠀⠀⠀⢀⣰⣿⣯⣿⣿⣯⣭⣯⣴⣦
⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣴⣿⣿⣿⡇⢀⣤⣴⣿⣿⣿⣿⣿⣷⣿⣿⣿⣯⡶
⡇⠘⢿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⡾
⣷⣦⣴⣿⡿⣿⣿⡾⠿⣿⣿⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⢿⣿⡟⣋⣴⡿⠟⠹⠏⠁⠈⠛⠑
⠒⠫⣿⣿⣿⣾⢿⣿⣾⣾⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡉⣛⣟⡟⣿⣿⣿⣿⣿⣿⡟⡿⢿⣿⡉⣻⣿⣿⣿⣿⣷⣴⣾⣿⠀⢀⣀⣠⠀⠀⠀⠀⠀⠀
⠀⠀⠉⠉⠀⠉⠛⣽⣿⣿⣿⡿⢻⣛⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⡇⣿⣿⣿⣿⣿⣿⡃⠃⠟⠹⠋⠿⣿⣿⣿⣿⣿⣿⡋⠅⠈⠽⣿⣿⣄⡏⠛⡤⣠⠀
⡀⢸⠇⠀⠂⠀⠀⣛⠛⢻⣏⠓⢾⠉⢿⡏⠙⣿⣿⡏⠉⡙⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣷⣶⣇⡰⣤⣮⣿⣿⡿⠋⠉⠞⣉⡁⠀⠀⠘⢹⢛⡃⠀⠂⠀⠀
⣵⢿⣆⠀⠀⠀⠀⠉⠀⠀⡹⢠⣾⡄⠛⠃⢠⣿⣿⣠⡨⣿⣷⣿⣟⣻⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⡏⢻⠻⣿⣿⣿⣿⣿⣿⣿⠃⠀⢸⣿⣿⣿⣿⣧⣀⣠⣶⣶⣿⣿⣿⡿⠟⢼⠋⠀⠒⠈⠉
⢿⣿⣿⡷⡄⠀⣀⣤⣰⡾⣤⡠⢿⣷⡀⢀⣼⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣿⠻⣿⣿⣿⢿⣿⡿⡁⠀⣿⣿⠿⢷⣶⡇⢸⡀⢻⣶⣿⣿⣿⣿⡏⠀⠀⠛⠛⣿⠿⠛⠛⠛⠛⠋⠉⡈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀
⡸⣿⣿⠿⠃⣰⡈⠀⠈⠉⣿⣷⠘⣻⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⠃⠀⢸⣷⣿⡟⣿⣿⡇⠅⣀⢀⠀⠹⢿⣟⡢⡸⡗⣸⣥⢹⣿⣿⣯⣟⠛⠁⠀⠀⣶⣤⡍⢇⣀⣀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠙⠓⠀⢻⡟⠀⠀⠀⠙⠿⠀⠀⠻⠿⠻⣿⣿⣿⣿⣿⡿⠿⢻⣿⣿⡂⠀⣸⣿⣿⣿⣿⣿⣾⣿⣿⣿⣷⠀⠀⣹⣿⣿⣷⢿⣿⣿⣿⣿⣿⢣⣇⣻⣿⡃⢹⣻⣷⢐⣾⡿⣿⣿⡧⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡀⠀⠀⠀⠀⠄⠀⠀⢠⣀⣀⣀⡀⢀⣽⣇⣸⣿⣿⡗⣳⣜⢛⡛⠃⠸⡿⠻⢹⣯⣿⡇⣿⡟⢿⣿⣿⣆⠀⢻⣿⢻⣯⣻⣿⣿⣿⣿⡿⣼⣿⣿⣿⡧⢘⣯⣙⣻⣿⡿⡿⣿⣿⢿⠉⠈⣻⣾⣤⣤⣴⣶⡶⣾⠛
⠐⠟⠂⠇⠀⠀⠀⣾⣿⡆⠀⠈⣿⣿⣿⣿⠿⣿⣷⠿⣿⣿⢿⣿⣿⣿⡧⠀⠀⠀⠀⠀⠉⠀⠀⠐⠛⠚⠿⠙⣿⣿⠀⠙⣘⣿⣿⣿⣼⣿⣿⣗⠿⣿⣿⣟⣃⡀⠿⣿⡿⠿⣿⣷⣿⣶⣾⣷⣴⠾⠹⠯⣿⣿⣯⣻⠉⠠
⠀⢄⠀⠀⠀⠃⢠⣿⠿⠷⠀⠀⠀⡀⠁⠙⢲⡟⠉⠀⠀⠹⠿⠿⢿⣝⠇⢀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⢹⡟⠛⠉⠛⠻⠿⠍⠉⠉⠉⠋⠛⠛⠛⠋⠉⠙⠛⠋⠉⠉⠀⠉⠙⠛⠦⢀⠉⠉⠉⠉⠉⠷
⠀⠈⠀⠀⠀⠀⠀⠘⠲⠀⠀⠀⠀⠁⠀⠀⠀⡃⠀⠀⠀⠀⠀⠈⠀⠗⠀⠀⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡃⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠆⠦⠚⠉⠄⠉⠵⠦⠄
⠀⠀⠀⠀⠀⠀⢸⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⢶⣦⣤⣶⣿⣿⣄⡀⠀⣂⣤⣠⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠐⠀⠀⠀⠀⠈⠿⠖⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠈⠉⠈⠈⠉⠉⠁⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠛⠻⠟⠙⠟⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡄⠀⢀⣤⣤⣴⣶⣤⡀⠀⠀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⣠⠀⢠⡀⠀⢠⡄⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣿⡏⠉⣿⡏⢹⣿⡆⣿⡏⠩⣿⡇⣿⣿⠉⣿⡇⢸⣿⠉⣿⠇⢸⣿⠀⢸⣿⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⣴⣶⣿⣾⣿⣿⣿⣇⠀⣠⣡⠀⠀⠀⢀⣴⣿⣯⣿⣿⣯⣭⣽⣶⣶
⠿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣾⣿⣯⠉⢀⣠⣶⣿⣿⣿⣿⣿⣯⣿⣿⣿⣧⡶
⠀⢻⣟⣯⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⡶
⣶⣠⣿⣿⢿⣿⣾⡿⡿⣿⣯⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⡿⣫⣴⡿⠟⠹⡟⠁⠈⠛⠓
⠟⢟⣿⡿⣿⣻⣿⣷⣷⣿⣿⣷⣿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡝⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⡍⣻⣿⣿⣿⣿⣷⣴⣾⣿⠀⢀⣀⣠⠀⣁⡀⠀⠀⠀
⠀⢈⠉⠁⠈⠙⠫⣿⣿⣿⣿⢻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣟⣿⢿⣇⣿⣿⣿⣿⣿⣿⠃⠇⠟⠹⠛⠿⣿⣿⣿⣿⣿⣿⡋⡌⠙⢽⣿⣿⣄⡏⢛⠆⣠⠀
⠀⡏⠀⠐⠀⠀⣛⡟⢙⣿⡏⢠⡏⠹⣿⠁⢻⣿⣿⢇⡌⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⡄⠠⣶⣯⣿⣿⡿⠏⠁⠟⣛⠁⠀⠀⠘⢻⢛⡃⠀⠀⠀⠀
⡽⣧⠀⠀⠀⠀⠙⠁⠀⣘⠇⣲⣧⠀⠟⠀⣾⣿⣇⣟⠇⣾⣾⣿⣿⣿⠛⠀⢹⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⡏⢹⢿⣿⣿⣿⣿⣿⣿⡿⠁⠀⢹⣿⣿⣿⣯⣧⣀⣠⣶⣾⣿⣿⣿⡿⠟⣼⠋⠐⠦⠈⠉
⣿⣿⣷⣦⠀⢀⣠⡄⣴⣏⣄⠸⣿⣆⠀⣠⣿⣿⣿⢹⣿⣿⣿⣿⡿⣿⣟⠀⠙⢿⢿⣿⣿⣿⣿⣿⢁⠈⢹⣿⣿⢿⡿⢿⣿⡇⢸⡈⣿⣾⣿⣿⣿⣿⡏⠀⠀⠛⠛⣿⠿⠿⠿⠛⠛⠏⢘⡈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⠟⢀⡆⠁⠁⠉⣹⣿⣆⢛⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⡿⠀⠀⣶⣿⣟⣏⠈⠉⠉⢀⠀⠘⠻⣿⣟⣟⢀⣚⡗⣼⣇⢻⣿⣿⣯⡻⣉⠀⠀⠀⣢⣤⡛⣇⡀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⠓⠀⠸⡿⠂⠀⠀⠘⠿⠇⠀⠓⠾⠿⢿⣿⣿⣼⣿⣿⠿⠟⣻⣿⡷⠀⣰⣿⣿⣿⣿⣄⣶⣾⣯⣿⣿⡄⠈⢉⣿⣿⣿⣧⣽⣿⣿⣿⣿⣿⢣⣁⣿⣿⡂⣛⣛⣷⢰⣾⡿⣿⣿⡿⣂⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⠀⠀⠀⠀⢀⠀⠀⠀⣶⣀⣀⡀⠀⢨⣿⣄⣼⣿⡿⢔⣤⡛⠻⠟⠀⣽⣿⣿⣿⡿⣽⣿⠏⢸⣿⣿⣿⡀⠸⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⡧⢙⣛⣛⣻⣿⡟⡿⣿⣿⣿⠋⠉⣛⣾⣶⣤⣤⣔⣶⣶⠙
⠷⠂⠸⠀⠀⠀⢰⣷⣦⠀⠀⢻⣿⣿⣿⠿⢿⣿⣿⢿⣿⠿⣿⣿⣷⣿⠄⠀⠀⠀⠹⠋⠁⠈⠵⠆⠈⠍⠿⠿⠿⠆⠋⠁⢿⣿⣿⣿⣿⣿⣿⡧⣿⣿⣿⣿⣃⠐⢽⣿⣿⣿⣿⣷⣿⣶⣾⣿⣴⢾⢻⣿⣿⣿⣿⣿⠮⠍
⡄⡀⣀⠀⠲⠀⣿⣿⡿⠆⠀⠀⠀⠉⠉⠽⣿⠛⠁⠈⠁⢿⣿⠿⣯⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠐⣿⠛⠟⠙⠻⢿⡿⠋⠋⠉⠛⠛⠛⠛⠛⠛⠓⠛⠚⠛⠛⠁⠉⠉⠛⠿⠦⣀⠉⠉⠉⠉⠛⠲
⠀⠁⠂⠀⠀⠈⠉⠳⡄⠀⠀⠀⠈⠂⠀⠀⢱⠀⠀⠀⠀⠀⠀⠐⠙⠛⠀⠘⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠿⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⠦⣦⠼⢙⣤⡙⠣⠦⠄
⠀⠀⠀⠀⠀⠀⡆⠀⠉⠂⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡿⠂⠀⣤⣤⣤⣴⣾⣷⡈⠉⠒⢢⣀⣀⠄⠀⠀⠀⠀⠀⠶⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡶⠒
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠁⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠛⠻⠟⠙⠟⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡄⠀⢀⣤⣤⣴⣶⣤⡀⠀⢀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⣠⠀⢠⡀⠀⢠⡄⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣿⡏⠉⣿⡏⢹⣿⡆⣿⡏⠉⣿⡇⣿⣿⠉⣿⡇⢸⣿⠉⣿⠇⢸⣿⠀⢸⣿⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⡀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣴⣶⣿⣼⣿⣿⣿⣇⠀⣠⣡⠀⠀⠀⢀⣴⣿⣯⣿⣯⣿⣯⣿⣷⣠
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣿⣮⡉⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣶
⠙⣿⣯⣝⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⢿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⡶
⣆⣼⣿⢿⣿⣧⣿⠛⢿⣿⡝⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⢿⣿⡟⣋⣴⡾⠛⠛⠛⠁⠈⠛⠛
⠏⣿⣿⡷⣝⣿⣿⣾⣾⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠍⣿⣿⡟⣿⣿⣿⣿⣿⣟⢿⡿⣿⣿⡈⣻⣿⣿⣿⣻⣷⣴⣼⣿⠈⠈⣀⣠⠀⠀⠀⠀⠀⠀
⠀⠉⠁⠀⠙⠛⣿⣻⣿⣿⠟⣻⣟⣻⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣆⣿⣿⣿⣿⣿⣿⡁⠟⠟⠹⠉⠿⣿⣿⣷⣽⣿⣿⡋⠨⠐⠻⣿⣿⣄⡇⠀⠄⢀⠀
⣶⠀⠰⠂⠀⢘⡛⠋⣿⣛⠀⣼⠉⢿⡯⠉⣿⣿⡏⠉⠈⣻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣹⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⣿⣿⣿⣿⣿⣿⣷⣶⡶⣠⣤⣦⣿⣿⣿⠏⠉⠟⣉⠁⠀⠀⠘⠛⠛⡇⠀⠀⠀⠀
⣷⠀⠀⠀⠀⠈⠉⠀⢀⠫⡠⣿⡀⠸⠇⠠⣿⣿⡄⠤⢰⣷⣾⣾⣿⣿⣿⢻⣿⣿⣏⣱⣿⣿⡿⢿⣿⣿⣿⣿⣿⡿⢿⣿⣿⡏⢻⡿⣿⣿⣿⣿⣿⣿⣿⠉⠀⢸⣿⣿⣿⣏⣧⣀⠠⣴⣶⣿⣿⣿⣿⠞⢸⠏⠀⠒⠀⠀
⣿⣷⣤⠀⠀⡀⡀⣠⡯⣠⠀⣿⣷⡀⠀⣼⣿⣿⡏⡳⣴⣿⣿⣿⣿⣟⡀⠘⣿⣿⣿⢿⠿⡿⠆⠈⠙⣿⣿⣿⣿⡿⠿⠿⣿⡇⠸⠨⣿⣿⣿⢻⣿⣿⡇⠀⠀⠛⠻⣿⡿⠿⠿⠛⠛⠏⠙⡋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀
⣿⣿⡟⠁⣄⠉⠁⠈⢙⣿⣧⠸⣿⣿⣶⣿⣿⣿⡇⢻⣿⣿⣿⣿⣿⣿⠇⠀⠀⡛⠉⠉⠐⠀⠀⠀⠀⠹⠿⣿⣿⣻⣟⢃⢮⡧⣸⣷⢻⣿⣿⣯⡛⠛⠀⠀⠀⢦⣄⡋⢇⡀⢀⡀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠈⠳⠀⠀⣿⡇⠀⠀⠈⠻⠿⠀⠉⠨⠿⠿⣿⣿⣧⣼⣿⣿⡟⠻⣿⣿⡆⠀⣠⣇⣐⣀⠀⣤⣴⠂⢼⣷⣄⠀⠙⢻⣿⣿⣿⡇⣿⣿⣺⣿⣿⡿⢣⣁⣾⣿⡂⢚⣻⣷⢰⣿⢿⣿⣿⡗⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⡀⠀⠈⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⣽⡏⢀⣿⣿⡟⠒⣸⠿⠿⠇⢰⢿⣿⣻⡟⣴⣿⠋⠀⣾⣿⣿⣧⠀⢸⣿⣿⣿⣟⣿⣿⣿⣿⣿⡿⣾⣿⣿⣿⣧⢘⣛⣛⣿⣿⡿⣿⣿⣿⣿⠋⠉⠛⣾⣦⣤⣤⣤⣴⣶⣞
⠴⠘⠃⠀⠀⠀⣶⣶⠀⠀⢘⣿⣿⣿⣿⠟⢻⣽⠿⣿⣿⢷⣿⣿⣿⣷⠀⠀⠈⠳⠟⠁⠙⠋⠀⠀⠍⠩⠽⢿⠄⠀⠉⢹⣷⣿⣿⣟⣿⣿⣿⣷⣿⣿⣟⣿⡃⠀⠿⣿⣿⣿⣿⣿⣶⣿⣾⣷⣂⢶⣻⣿⣿⣿⣯⢿⠮⠭
⠀⠀⠀⠐⠂⢸⣿⣿⣧⠀⠀⠁⠉⠋⠙⠴⡟⠛⠀⠉⠩⢿⣿⢿⡿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠿⠟⠛⠿⢿⣿⠓⠒⠙⠛⠻⠟⠛⠿⠚⠓⠒⠾⠟⠛⠓⠋⠙⠻⠷⢤⡀⠘⠛⠉⠛⠛⠲
⠀⠀⠀⠀⠀⠉⠙⢄⠀⠀⠀⠀⠂⠀⠀⠀⡅⠀⠀⠀⠀⠀⠀⠘⠻⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠂⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⣦⣬⡤⠂⡀⠘⢆⢦⣀
⠀⠀⠀⠀⠀⢰⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠂⠀⠀⣄⣤⣄⣴⣶⣆⡈⠀⠀⠄⢀⣀⠀⠀⠀⠀⠀⠀⢠⠂⠀⠀⠁⠀⠀⠀⠀⠉⢾⡶⠤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠁⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠛⠻⠟⠙⠟⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡄⠀⠀⣤⣤⣴⣶⣤⡀⠀⠀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⣠⠀⢠⠀⠀⢠⡄⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣿⡏⠉⣿⡏⢹⣿⡆⣿⡏⠉⣿⡇⣿⣿⠉⣿⡇⢸⣿⠉⣿⠇⢸⣿⠀⢸⣿⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⢀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣥⣶⣿⣾⣿⣿⣿⡆⠀⢠⣁⠀⠀⠀⠀⣠⣿⣯⣿⣯⣷⣯⣷⣧⣤
⣷⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣽⣿⣿⣍⡌⠀⣠⣴⣿⣿⣿⣿⣿⣿⣷⣽⣿⣿⣴
⠿⣿⣯⣿⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⢿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⡶
⣤⣿⡿⣿⣷⣜⠻⠿⣿⣿⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⣿⣿⣿⣿⣿⣿⢿⣿⣟⢋⣥⡾⠛⠋⠛⠉⠀⠙⠉
⢼⣟⠿⣯⢻⣿⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⣿⣟⡏⣿⣿⣿⣿⣿⣿⣽⡯⣿⣿⡁⡙⣿⣿⣿⣿⣷⣴⣴⣿⠆⠀⣀⣠⠀⢀⡀⠀⠀⠀
⠈⠁⠀⠈⠛⡻⣿⣿⣿⡿⢻⣿⡋⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣙⣿⣿⣇⣿⣿⣿⣿⣿⣿⠁⠇⠙⠹⠃⠻⣿⣿⣿⣿⣿⣿⡏⠍⠨⠸⢿⣿⣆⣈⠈⣆⣀⠤
⠁⠀⠆⠀⠀⠩⠛⢻⢟⡃⠠⡏⠈⣿⡏⠉⣿⣿⠙⠋⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡞⢻⣿⣿⣿⣿⣿⣿⣿⣿⣴⣷⣿⣿⣿⣿⣿⣿⣷⣶⡤⣠⣄⣶⣿⣿⡿⠏⠁⠞⣛⠀⠀⠀⠘⠻⠟⡇⠀⠄⠀⠀
⡄⠀⠀⠀⠀⠙⠁⠀⠘⠁⢴⣧⠀⠹⠁⢸⣿⣏⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⠋⢺⣿⣿⣿⣿⣿⣿⣶⡻⣿⣿⣿⢿⣿⣿⠏⢻⠿⣿⣿⣿⣿⣿⣿⣿⠋⠁⢸⣿⣿⣿⣫⣇⣀⣀⣤⣾⣿⣷⣾⣾⠾⢱⡇⠀⠤⠄⠁
⣿⡄⡄⠀⢀⣀⢠⣼⢁⡄⠸⣿⣆⠀⠀⣿⣿⣿⡟⣇⣿⣿⣿⣿⡿⠃⠸⣿⣿⣿⣾⢿⡿⠈⠙⢻⣿⣿⣷⣿⣿⢿⠿⣿⢿⡅⢠⡈⣿⣾⣿⣛⣿⣿⡏⠀⠀⠺⠿⣿⡿⠿⠿⠛⠛⠿⠘⡋⠉⠙⠁⠀⠀⠀⠀⠀⠀⠀
⣿⣷⠃⢠⠈⠉⠈⠉⣿⣿⣄⠻⢿⣷⣾⣿⣿⣿⡇⣿⣿⣿⣿⡇⣤⣆⠀⠉⠟⠁⠉⠀⠀⠀⠀⠀⢿⣿⣿⣧⣿⣻⣿⠑⢿⣃⣬⣧⣾⣿⣿⣭⡿⠛⠁⠀⠀⢤⣄⡏⢇⣀⣀⡀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠹⠆⠀⢹⡟⠀⠀⠀⠻⣿⠇⠈⠁⠸⡿⢿⣿⣿⣬⣿⣿⣿⠿⡋⣿⣗⠀⢀⡀⠀⠀⠀⢀⣄⠀⢀⣦⡀⠙⠛⢻⣿⣿⣿⣾⡇⣿⣿⣻⣿⣿⡿⢣⣅⢾⣿⡂⢸⣻⣷⢠⣾⢿⣿⣿⣗⠒⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠁⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⢈⣿⡅⣠⣿⣿⠇⢲⡦⢿⣷⠀⣸⣿⢷⣶⢀⣿⠟⠀⠠⣿⣿⣶⠀⠸⠟⣿⣿⣿⡛⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣧⢘⣛⣛⣺⣿⣿⣿⣿⣿⣿⠟⠉⠛⣶⣦⣤⣤⡤⢤⣶⣒
⠄⠁⠀⠀⠀⣰⣶⡆⠀⠀⣿⣿⣿⣿⡿⠾⣯⣄⢿⣿⣿⣶⣿⣷⣶⠄⠀⠈⠋⡾⠇⠺⠟⠀⠀⠈⣉⣩⢶⠆⠀⠐⠻⣿⢿⣿⣿⣗⣿⣿⣿⢷⣿⣿⣿⡿⠃⠀⢿⣿⣿⣿⣿⣽⣼⣯⣴⣴⣀⣴⡛⣿⣿⣯⣵⠟⠆⡦
⠀⠀⠀⠄⠀⣿⣿⣿⡀⠀⠈⠉⠙⠛⠑⠤⠞⠛⠀⠋⠥⣾⣿⢟⣿⠃⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠲⠾⠿⠻⠿⣿⡛⠓⠚⠛⠛⠻⠿⠶⠶⠿⠷⠲⠾⠿⠓⠛⠛⠛⠻⢶⣦⡀⠙⠛⠛⠛⠛⠲
⠀⠂⠀⠀⠈⠙⢧⡀⠀⠀⠀⠒⠁⠀⠀⠀⡀⠀⠀⠀⠀⠋⠀⠐⠊⠀⠸⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣠⣁⠇⢀⠐⢂⣀⣀
⠀⠀⠀⠀⠀⡄⠀⠑⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⣼⡧⡤⡄⠀⣀⣀⣀⣠⣴⡆⠐⠂⠆⠀⣀⡀⠀⠀⠀⠀⠀⠀⢀⠄⠀⠀⠄⡀⠁⠀⠈⠉⢲⣦⠤
⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠈⠉⠉⠉⠈⠁⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠛⠻⠟⠙⠟⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡄⠀⢀⣤⣤⣴⣶⣤⡀⠀⢀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⣠⠀⢠⡀⠀⢠⡄⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣿⡏⠉⣿⡏⢹⣿⡆⣿⡏⠉⣿⡇⣿⣿⠉⣿⡇⢸⣿⠉⣿⠇⢸⣿⠀⢸⣿⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣂⣥⣶⣾⣯⣿⣿⣿⣶⡀⣀⡥⡀⠀⠀⠀⢀⢼⣯⣭⣽⢷⢧⡄⣤⣠
⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣯⣝⣷⣿⣯⡁⠀⣀⣤⣾⣿⣿⣿⣿⣟⣿⣮⣿⣷⣭
⣫⣶⣽⠟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣾⣾⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣷
⣿⡿⣿⣷⣄⠛⢿⣿⣷⡹⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣽⣿⣿⣿⣿⣿⠿⣿⣿⡛⣡⣾⠟⠛⠻⠉⠁⠈⠛
⣿⠿⢮⢻⣿⣶⣦⣿⣿⣷⣿⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⣟⣿⡟⣿⣿⣿⣿⣿⣿⠹⡏⢿⣿⣇⢙⣿⣿⣿⣻⣿⣤⣦⣿⡇⠁⢀⣀⡄⠀⢀⠀⠀⠀
⠁⠀⠈⠙⠹⣟⣿⣿⡿⠛⢹⣿⢱⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣍⣿⣿⣿⣿⣿⣿⣿⣛⣟⣟⡆⣸⣿⣿⣿⣿⣿⡃⠛⠘⠋⡏⠻⢿⣿⣿⣿⣿⣿⣟⡩⠀⠚⢿⣿⣧⣸⡀⠡⢄⡠
⠀⠄⠀⠀⠩⠙⢻⠟⠃⠀⡍⠁⠙⣿⠀⣿⣿⠇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡏⢹⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⡿⣿⣿⣿⣿⣿⣷⣖⣶⠠⣤⣰⣸⣿⣿⠿⠉⠑⢟⠋⠀⠀⠀⠚⠿⢻⠀⠠⠀⠀
⠀⠀⠀⠀⠛⠀⠀⠈⠃⠰⣷⠀⠀⠻⠀⣿⣿⡀⠘⢿⣿⣿⣿⣿⠿⣿⣿⡿⠉⣿⣿⣿⣿⣿⣿⣯⣷⡀⢻⣿⣿⣿⣿⣿⡿⡏⢰⠿⣿⣿⣿⣿⣿⣿⣿⠋⠉⠰⣾⣿⣿⣏⣿⣀⢀⣤⣴⣯⣿⣶⣾⡿⠇⡿⠐⠐⠀⠀
⡆⡄⠀⠀⠀⠀⣴⠃⡄⠰⣿⣇⡀⠀⢰⣿⣿⡇⢳⣌⣿⣿⣿⠁⠀⣿⣿⣆⡤⣿⣿⠋⠻⣿⣿⣿⣿⣷⣞⣿⣿⠾⠾⣿⣿⠇⢈⠀⣿⣴⣿⣛⣻⣿⡟⠀⠀⠘⠿⢿⣿⠿⠿⠿⠚⠷⠄⠛⠉⠉⠋⠀⠀⠀⠀⠀⠀⠀
⡟⠃⢀⠈⠁⠈⠋⢺⣿⡄⠻⢿⣿⣶⣾⣿⣿⣧⢸⣿⣷⢼⣤⣴⣶⠹⠟⡟⡓⠛⠀⠀⠀⠀⢹⣿⣿⣿⡯⢨⣿⣿⠻⠉⣖⡁⣰⣄⢸⣿⣿⣏⡹⠺⠁⠀⠀⢠⣄⣈⠳⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠄⠀⢸⡗⠀⠀⠀⠹⣿⡆⠈⠡⠉⣽⣿⣿⢿⡁⣰⣿⣿⠜⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠙⢿⢿⣿⣿⣿⣿⣾⣽⡇⣿⣿⢸⣿⣿⣿⢃⡐⢴⣶⡆⠨⢿⣿⡀⠤⢿⣯⣿⣷⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠈⠃⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⢹⣟⠁⣸⣿⡿⢁⣾⣿⣯⠀⢠⣄⣀⡀⠠⣶⣦⠀⢈⣷⣤⡀⠀⢹⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⢠⣿⣿⣿⣷⠐⠿⠛⠗⣿⡿⢿⣿⣿⣷⡿⠛⠳⢦⣤⣄⣀⣀⣤⣤⡄
⠀⠀⠀⠀⢠⣤⡄⠀⠈⢿⣾⣷⣾⣶⡶⢻⣇⡼⣿⣿⣧⢰⣬⣉⠉⠀⠈⠏⢹⡋⢰⣿⠀⠀⢘⡚⠋⢻⠀⠀⢿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣏⣼⣿⠿⢿⠟⠀⣻⣟⣿⣿⣿⣧⣬⣭⣯⣵⡂⢀⡴⢿⣟⣿⣿⣿⣋⡈
⠀⠀⡀⠀⣾⣿⣷⠀⠀⠙⠙⠛⠛⢛⣀⣬⠷⠉⠙⠫⡯⣾⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠄⠉⠁⠀⠀⠀⢹⣿⣿⣿⢭⡿⠿⣿⣿⡿⠷⠭⠿⠿⠿⠶⠦⢤⠿⠿⠬⣭⡽⠿⠭⠟⠛⠿⢶⣤⣀⠉⠙⠟⠛⠿⠶
⠀⠀⠀⠐⠙⢿⡀⠀⠀⠀⠠⠀⠀⠀⠀⡂⠀⠀⠀⠀⠘⠋⠁⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⡉⣰⠄⠀⠠⡄⡀
⠀⠀⠀⠀⡀⠠⠡⠄⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⠀⠀⠀⠀⠀⢀⣠⣀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠉⠁⠀⠀⠠⣬⣉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉
⢀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠛⠻⠟⠙⠟⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡄⠀⢀⣤⣤⣴⣶⣤⡀⠀⢀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⣠⠀⢠⡀⠀⢠⡄⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣿⡏⠉⣿⡏⢹⣿⡆⣿⡏⠉⣿⡇⣿⣿⠉⣿⡇⢸⣿⠉⣿⠇⢸⣿⠀⢸⣿⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣠⣥⣶⣾⣯⣿⣿⣿⣶⡀⣀⣄⠀⠀⠀⠀⣀⣼⣯⣭⣽⢷⢧⣄⣤⣭
⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣯⣿⣧⣿⣷⡉⠁⣀⣤⣾⣿⣿⣿⣿⣟⣿⣮⣿⣎⣮
⣫⣶⣽⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⡿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿
⣿⡿⣿⣷⣄⠛⠛⣿⣧⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⠯⣿⣿⢛⣠⡾⠟⠳⠚⠉⠁⠈⠛
⣿⠿⠎⢻⣿⣶⣶⣿⣿⣷⣿⣿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⣻⣿⠟⣿⣿⣿⣿⣿⣿⠹⡏⢿⣿⣇⣙⢿⣿⣿⣟⣿⣦⣦⣿⡇⠁⢀⣀⡄⠀⢀⠀⠀⠀
⠁⠀⠈⠘⠻⣿⣿⣿⡿⠛⢹⣟⢑⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣛⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⠆⣸⣿⣿⣿⣿⣿⡀⠛⠘⠋⠏⠻⢿⣿⣿⣿⣿⣿⣟⡡⠁⠒⢿⣿⣧⣸⡀⢡⢀⡠
⠀⠄⠀⠀⠩⠙⢹⠟⠁⠀⣎⠁⢙⣿⠉⣹⣿⠧⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡏⢹⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⡿⣿⣿⣿⣿⣿⣳⣦⣴⠠⣄⣰⣼⣿⣿⠿⠉⠕⢛⡋⠀⠀⠀⠺⠿⢟⠀⠠⠀⠀
⠀⠀⠀⠀⠙⠀⠀⠈⠃⠰⣷⠀⠀⠻⠀⣿⣿⡀⠘⢿⣿⢿⣿⣿⠿⣿⣿⡿⠉⣿⣿⣿⣿⣿⣿⣯⣷⡀⢹⣿⣿⣿⣿⣿⡿⡏⢩⠻⣿⣿⣿⣿⣿⣿⣿⠋⠁⠀⣾⣿⣿⣏⣝⣀⡀⣠⣤⣿⣿⣶⣿⡿⠇⡿⠒⠐⠂⠀
⡆⡄⠀⠀⠀⢀⣴⠃⡄⠰⣿⣇⡀⠀⢸⣿⣿⡇⢲⢨⣿⣿⣿⠁⠀⣿⣿⣆⢠⡿⣿⠋⠛⣿⣿⣿⣿⣷⣖⣿⣿⢿⠾⣧⣿⢇⢨⠀⢻⣼⣿⣛⣻⣿⡷⠀⠀⠘⠯⣿⣿⠿⠿⠟⠛⠧⠍⠛⠉⠉⠋⠀⠀⠀⠀⠀⠀⠀
⡟⠃⢀⠈⠁⠈⠋⢺⣿⡄⠻⢿⣿⣷⣾⣿⣿⡧⢸⣷⣷⢸⣤⣴⣶⠹⠛⡿⠗⠑⠀⠀⠀⠀⢹⣿⣿⣿⡿⢨⣿⣿⠻⠁⣞⡑⣰⣆⢸⣿⣿⣟⡽⠚⠁⠀⠀⢠⣄⣨⠳⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠄⠀⢺⡷⠀⠀⠀⠹⣿⡆⠈⠡⠉⣽⣿⣿⢿⡅⣸⣿⣿⠚⣿⣿⡟⠀⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⢿⣿⣿⣿⣯⣸⣿⡇⣽⣿⢸⣿⣿⣿⠋⢂⠴⣶⡆⠠⢿⣯⠀⠤⣿⣿⣾⣷⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠈⠃⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⢹⣟⠁⣸⣿⡿⠁⣾⣿⣯⠀⢰⣄⣀⡀⠠⣶⣦⠀⢈⣷⣦⡀⠀⢸⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⢰⣿⣿⣿⣷⠐⠿⠛⠃⣿⣿⣿⣿⣿⣿⡿⠛⠳⢦⣤⣄⣀⣀⠤⣤⡴
⠀⠀⠀⠀⢠⣤⡄⠀⠀⢿⣾⣷⣾⣶⡶⠻⠇⢴⣿⣿⣧⣰⣬⣉⠋⠀⠈⠇⣻⡋⢸⣿⠀⠀⢚⡛⠘⣻⠀⠀⣿⣿⣿⣿⣿⣷⣾⠯⢽⢿⣿⠏⣽⣿⠿⢿⠟⠀⣛⣿⣿⣿⣿⣷⣬⣭⣱⣥⡄⢀⡼⢿⣟⣿⣿⣿⣋⡙
⠀⠀⡀⠀⣾⣿⣳⡀⠀⠙⠙⠛⠛⢛⢀⡬⠰⠀⠙⠻⣭⣾⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠄⠉⠀⠀⠀⠀⢹⣿⣿⣿⢭⡝⠿⣿⣿⣿⠦⠭⠟⠿⠿⢶⢦⣤⠾⠧⠤⣭⠿⠿⠭⠛⠛⠿⢶⣤⣀⠉⠙⠟⠛⠟⠶
⠀⠀⠀⠐⠙⢯⡀⠀⠀⠀⠠⠀⠀⠀⠀⡀⠀⠀⠀⠀⠘⠋⠁⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠉⣰⠄⠀⠠⠄⡀
⠀⠀⠀⠀⡀⠠⠡⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⠀⠀⠀⠀⠀⢀⣀⣄⠀⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠠⣭⣉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠈⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉
⢀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠛⠻⠟⠙⠟⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡄⠀⢀⣤⣤⣴⣶⣤⡀⠀⢀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⣠⠀⢠⡀⠀⢠⡄⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣿⡏⠉⣿⡏⢹⣿⡆⣿⡏⠉⣿⡇⣿⣿⠉⣿⡇⢸⣿⠉⣿⠇⢸⣿⠀⢸⣿⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⡀⣀⠀⢀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣡⣤⣶⣿⣾⣿⣯⣾⡦⢀⣀⠢⠁⠀⠀⠀⣠⣿⣿⣧⣑⣯⣴⣂⣀
⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⣴⣶⣿⣍⡉⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⢿⣿⣹
⣴⣬⡟⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣮⣶⣿⣿⢿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿
⡿⢿⣿⣆⡘⠻⢿⣿⡜⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣩⣿⣿⣿⣿⣿⣿⢉⣿⣿⢋⣤⣾⠛⠙⠿⠉⠀⠙
⠭⢦⠻⣿⣧⣶⣾⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡍⣛⣯⡿⢹⣿⣿⣿⣿⣿⡯⢿⠹⣿⣿⠉⡻⣿⣿⣿⣿⣷⣤⣴⣿⠈⠀⣀⣠⠀⠀⡀⠀⠀
⠀⠀⠀⠈⣟⣿⣿⣿⠋⢹⣿⣟⣸⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣿⣿⣿⣿⣇⣿⢻⡃⢘⣿⣿⣿⣿⣿⡇⠸⠀⠛⠹⠙⠳⣿⣿⣿⣾⣿⣿⣉⠍⠑⠺⣿⣿⣄⣸⠁⢂⢀
⠤⠀⠀⠩⠝⠛⡿⡛⠂⢬⡉⠀⢻⣏⠙⣿⡟⢐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣾⣿⣿⣿⣿⣿⣿⣶⣦⡆⢠⣀⣶⣿⣿⡿⠟⠋⠞⢛⠁⠀⠀⠈⠻⠟⡇⠀⠀⠀
⠀⠀⠀⠙⠂⠀⠀⠃⠀⢸⡆⠀⠈⠿⢸⣿⣇⠈⠛⡿⣿⣿⡿⢿⣿⣿⣿⠏⣿⣿⣿⣿⣿⣿⣿⡿⣷⡔⠛⣿⣿⣿⣿⣿⡿⠟⠉⣿⢿⣾⣿⣿⣿⣿⣿⡟⠉⠁⣴⣿⣿⣿⣙⣟⣀⣀⣤⣼⣿⣷⣶⣶⡾⢳⡟⠀⠀⠀
⡄⠀⠀⠀⠀⣠⡎⢀⠀⢸⣿⣀⡀⠀⢼⣿⣿⡄⣾⢷⣿⠏⠀⢰⣿⣿⠁⣀⣿⣿⠟⠻⢿⣿⣿⣿⣿⣷⣆⣿⣿⣾⠷⣯⢽⡷⠀⠀⢸⣯⣿⣿⣛⠿⣿⠄⠀⠀⠿⢽⣿⡿⠿⠿⠿⠿⠿⠙⠛⠋⠙⠁⠀⠈⠀⠀⠀⠀
⠁⢀⠀⠂⠀⠛⠰⣸⣇⠸⢿⣿⣿⣦⣿⣿⣿⡇⠉⢸⣅⣶⣾⣿⡿⣻⣷⠻⠗⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⢈⣿⣿⠿⠋⠾⣓⢀⣥⡈⣿⣿⣷⡻⠏⠇⠀⠀⠀⣄⡈⡉⠃⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢸⣶⠀⠀⠀⠸⣿⣇⠀⠉⠉⠉⣿⣿⡿⣟⠁⡅⣸⣿⣿⣿⣿⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠿⣿⣷⣾⣿⣿⣷⣼⣷⣿⣹⣿⡇⣿⣿⣿⡿⠀⢢⣶⣶⠀⢺⠿⡧⠨⣭⣿⣤⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⠁⠀⠀⠀⠀⠈⢁⠀⠀⠀⠀⠀⠈⢿⡟⠀⣀⣿⠃⣨⣿⣿⠀⠀⡀⠀⠀⠀⣠⣄⠀⠀⣧⣄⡀⠀⢸⣿⣿⣿⣿⣿⣿⡿⢼⣿⣷⣿⣿⣿⡇⣾⣿⣿⣿⡂⠸⠿⠿⠄⢿⡷⣿⣿⣿⣾⠾⠛⠲⣦⣄⣀⣀⣀⣠⣤
⠀⠀⠀⠀⣠⡄⠀⠀⢿⣶⣶⣶⣶⣶⡴⣿⢇⣤⢸⣿⣤⣟⠛⢻⠃⠘⡃⠺⡟⢀⣿⠉⠀⠸⠷⠏⠛⢦⠀⢹⣿⣿⣿⣿⣿⣷⣾⣿⡻⣿⣿⣿⠉⣿⢿⢿⣿⠁⠨⣻⣿⣾⣿⣦⣭⣉⣉⣧⣧⡀⣈⡷⣿⠿⣿⣿⣾⠏
⠀⢀⠀⢸⣿⣿⠀⠀⠘⠟⡿⠟⠿⢋⣀⣄⡄⠀⠠⢟⣩⣿⣿⡿⠀⠀⠀⠘⠃⠈⠉⠀⠀⠀⠉⡀⠂⠈⠀⠀⠙⣿⣿⣿⣿⣯⣻⢷⣷⣿⣿⣧⣍⢛⣿⣾⣿⣤⣄⣉⣿⣭⣍⣛⣿⣟⣟⡻⠿⣷⣮⣅⠉⠛⠿⠿⠷⠯
⠀⠀⠠⠛⢿⡏⠁⠀⠀⢠⠀⠀⠀⠈⠙⠀⠀⠀⠀⠀⠙⠛⢹⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠁⠀⠈⠉⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠃⠠⠀⠀⣤⢀
⠀⠀⠀⠀⠀⠙⡂⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠓⠃⠂⠀⠢⢠⣈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠉⠉⠀⠀⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉
⢀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠛⠻⠟⠙⠟⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡄⠀⢀⣤⣤⣴⣶⣤⡀⠀⢀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⣠⠀⢠⡀⠀⢠⡄⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣿⡏⠉⣿⡏⢹⣿⡆⣿⡏⠉⣿⡇⣿⣿⠉⣿⡇⢸⣿⠉⣿⠇⢸⣿⠀⢸⣿⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⠀⡀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣠⣤⣶⣾⣿⣿⣿⣦⣶⠀⣀⠤⠐⠀⠀⠀⣀⣾⣯⣵⣇⢤⣠⣠⢤
⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣝⠁⣀⣴⣾⣿⣿⣿⣿⣿⣽⣿⣿⣿
⣶⣽⠟⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿
⡟⣿⣷⣀⠻⠻⣿⣿⡈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣽⣿⣿⣿⣿⣿⡯⣿⣿⠛⣡⣼⠟⠛⠛⠋⠁⠉
⠹⣎⢿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢩⣙⠻⢉⣿⣿⣿⣿⣿⣿⠿⡏⢿⣿⡇⢙⣿⣿⣿⣟⣿⣤⣴⣿⡇⠁⢀⣀⡄⠀⠀⠀⠀
⠀⠀⠀⠹⣻⣿⣿⣿⠛⠁⣹⣟⣰⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣸⣿⠶⢀⣿⣿⣿⣿⣿⣿⠀⠃⠘⠙⡋⠻⢽⣿⣿⣷⣿⣿⣟⠋⠁⠙⣿⣿⣧⣀⡇⠡⠀
⠄⠀⠈⠭⠛⢻⠟⠃⠀⢬⠉⠀⢹⣟⠉⣿⣿⢸⣿⣿⣿⣿⡿⣟⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡯⠙⣿⣿⣿⣿⣿⣿⣿⣿⣦⣼⣿⣿⣿⣿⣿⣿⣿⣳⣶⡦⠠⣤⣰⣸⣿⣿⡿⠙⠑⠛⡋⠀⠀⠀⠙⠿⢻⠀⠀⠀
⠀⠀⠀⠑⠀⠈⠘⡇⠀⣼⡀⠀⠸⠿⢸⣿⣏⠙⣻⣿⣿⣿⢳⣿⣿⣿⡿⢛⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠛⢿⣿⣿⣿⣿⡿⢿⠉⡛⢿⣿⣿⣿⣿⣿⣿⣿⠁⠁⢰⣾⣿⣿⣏⣻⣀⣀⣀⣴⣟⣷⣶⣶⡶⠏⣾⠂⠀⠀
⠀⠀⠀⠀⠀⣠⡃⣆⠀⢿⣷⣀⡀⠀⣾⣿⣿⢼⡿⢾⠯⠁⠀⣿⣿⡟⠀⣈⣿⣿⠟⠿⣿⣿⣿⣿⣿⣿⣆⣹⣿⣷⡶⣮⣵⣿⠀⠁⠨⣯⣿⣷⣛⣻⡿⠇⠀⠀⠸⠿⣿⡿⠿⠿⠿⠶⠣⠁⠋⠋⠙⠋⠀⠀⠁⠀⠀⠀
⠀⠀⠐⠀⠈⠛⢀⣿⡄⠛⢿⣿⣿⣦⣿⣿⣿⡏⠀⣏⣤⣶⣿⣿⡟⣿⡟⠫⠉⠃⠀⠀⠀⠻⣿⣿⣿⣿⣿⢈⣿⡿⢾⡊⠶⣪⡀⣀⡀⣿⣿⣿⣚⡿⡷⠀⠀⠀⢀⣄⣉⠳⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣶⡄⠀⠀⠀⢻⣿⡄⠀⠃⠉⠙⢻⣿⡿⡏⠁⢀⣿⡟⣿⣿⣿⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠙⠙⠿⣿⣿⣼⣿⣿⣷⣼⣿⣾⠨⣿⣷⣿⣿⣿⡿⢃⠂⣴⣶⡄⠸⠿⣯⠀⣭⣿⣿⣶⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠙⣷⡟⡂⢸⣿⠃⣸⣿⣿⠀⠀⠀⠀⠀⠀⣠⡄⠀⠀⣧⣄⡀⠀⢉⣿⣿⣿⣿⣿⣿⣿⢦⣿⣷⣽⣿⣿⡇⣨⣿⣿⣿⣇⠰⠿⠿⠇⢿⣷⣾⣿⣿⣶⡶⠟⠳⢦⣄⡀⠀⣀⣀⣀
⠀⠀⠀⢀⣠⡀⠀⠀⣴⣴⣶⣶⣶⣦⡴⣿⠁⢠⣿⣿⣤⡟⠛⠻⠀⠛⠲⠶⠆⢠⣿⠋⠀⠺⡿⠟⠻⠆⠀⢹⣿⣿⣿⣿⣿⣷⣦⣿⡟⢿⣿⣿⠃⣿⣿⣿⣿⡏⠀⣟⣿⣶⣿⣧⣼⣉⣙⣓⣰⣄⢀⣸⣿⡿⢿⣷⣳⠿
⠀⡀⠀⢾⣿⣇⠀⠀⠺⠻⡿⠿⠿⠋⡁⣤⠄⠈⠸⢏⣉⣿⣾⡾⠀⠈⠀⠛⠀⠘⠋⠀⠀⠘⠁⡀⠀⠈⠀⠈⠙⣿⣿⣿⣿⣟⣛⢿⣶⣿⣿⣯⣄⡓⣿⣦⣦⣤⣄⣉⣻⣏⣉⣛⣿⣽⣛⡻⠿⣿⣦⣑⠈⠛⠛⢿⠿⠽
⠀⠀⠀⠻⣿⡋⠀⠀⠀⢀⠁⠀⠀⠀⠙⠁⠀⠀⠀⠀⠸⠛⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡇⠁⠀⠉⠙⠛⠀⠀⠀⠀⠀⠀⠈⠈⠉⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠈⠉⠛⠀⡀⠀⢀⡀
⠀⠀⠀⠀⠀⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠒⠒⠀⠁⠀⠀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈
⢀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠛⠻⠟⠙⠟⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡄⠀⢀⣤⣤⣴⣶⣤⡀⠀⢀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⣠⠀⢠⡀⠀⢠⡄⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣿⡏⠉⣿⡏⢹⣿⡆⣿⡏⠉⣿⡇⣿⣿⠉⣿⡇⢸⣿⠉⣿⠇⢸⣿⠀⢸⣿⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⡀⡀⢀⡀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣷⣂⣤⣴⣾⣿⣿⣿⣷⣼⡆⠀⣀⠀⠄⠀⠀⢀⣴⣯⣭⣀⣤⡌⠥⣤
⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣏⢿⣷⣿⣙⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣽⣶⣷
⣶⣿⡉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⢿⣿⡿⣿⣿⣿⣿⣿⣿
⠻⣿⣦⡄⠊⠻⣿⣷⡙⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⡿⢽⣿⡟⢋⣤⡿⠋⠐⠛⠁⠈
⡗⠈⢿⣿⣮⣶⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⢹⢿⣿⠟⣽⣿⣿⣿⣿⣿⠬⣿⠳⣯⣏⢈⡻⣿⣿⣟⣿⣇⣤⣼⣿⠀⠀⣀⣠⠀⠀⠀⠀
⠀⠈⠀⣿⣻⣿⣿⡟⠛⢐⣻⣟⣹⣯⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣺⣿⢿⣄⣸⣿⣿⣿⣿⣿⡁⠘⠀⠋⠛⠘⠯⣿⣿⣿⣿⣿⣿⣛⠀⠙⢽⣿⣽⣄⣁⠈⡄
⠀⠀⠈⠭⠛⠿⢟⠁⠀⣤⠁⠁⢻⣿⢙⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⡮⣷⣿⣿⣿⣿⣿⣿⣿⣶⡖⠀⢤⣀⣀⣿⣿⠿⠏⠍⠞⠙⠀⠀⠀⠘⠻⠟⡇⠀⠄
⠀⠀⠀⠂⠀⠈⠘⠀⠀⢼⡀⠀⠘⠿⢸⣿⣍⠛⡻⢿⣿⠟⢿⣿⣿⣿⡿⢩⣿⣿⣿⣿⣿⣿⣿⡿⣻⣆⠘⢿⣿⣿⣿⣿⡿⠿⠍⢿⠿⣿⣿⣿⣿⣿⣿⣿⠛⠁⠈⣶⣿⣿⣟⣙⣄⣀⣀⣤⡽⣳⣶⣶⣶⠾⢱⠇⠀⠠
⠀⠀⠀⠀⢀⡴⠐⡄⠀⢿⣧⣀⠀⠀⣾⣿⣿⣿⣗⣿⠏⠀⢸⣯⣿⡏⠀⣼⣿⣿⠟⠿⢿⣿⣿⣿⣿⣿⣦⢾⣿⣿⣶⢾⡴⣼⡇⠸⠐⣿⣭⣿⣟⡛⣿⣿⠀⠀⠀⠿⢻⣿⠿⠿⠿⠷⠿⠌⠘⠙⠙⠋⠉⠀⠈⠀⠀⠀
⠀⠀⠂⠀⠘⠋⢈⣷⡀⠹⢿⣿⣿⣦⣿⣿⣷⡍⢰⣁⣤⣾⣿⣿⢻⣿⠎⠉⠉⠛⠀⠀⠀⠹⣿⣿⣿⣿⣿⢆⣽⣿⡿⣯⠵⠎⠁⣀⡀⢸⣿⣿⣞⢻⡿⠏⠀⠀⠀⣀⣀⠙⠆⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣦⡀⠀⠀⠀⣿⣿⠀⠀⠉⠉⠛⣿⣿⣿⡏⠀⢸⣿⣿⣿⣿⡿⠐⠛⠀⠀⠀⠀⠀⠀⠀⠀⠋⠹⢿⣿⣿⣼⣿⣿⣿⢲⣿⣽⡟⣼⣿⢸⣿⣿⣿⠟⠀⢠⣶⡦⠀⠿⢿⡄⢨⣝⣶⣴⣶⠢⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠉⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠙⣷⡟⠀⣽⣿⠁⣻⣿⡗⠀⠀⠀⠀⠀⢀⣠⠀⠀⢠⣦⣀⠀⠀⢹⣿⣿⣿⣿⣾⣿⣿⠏⣿⣿⣿⣿⣿⣿⢀⣶⣾⣿⣿⠀⠿⠿⠧⠰⢿⡶⣽⣿⣷⣶⡾⠒⠦⣤⣀⠀⠀⣀⣀
⠀⠀⠀⣀⣀⠀⠀⠘⣤⣤⣶⣶⣦⣤⣴⡿⡉⢰⣿⣿⣌⠟⠻⠿⠰⠓⠰⣶⠄⣸⣿⠃⠀⣾⢟⠯⠕⠀⠀⢸⣿⣿⣿⣿⣿⣿⣤⣏⡟⣻⣿⣿⡿⢸⣿⣿⣿⣻⠀⠘⠶⣶⣤⣖⣀⣉⣉⣛⣉⠠⠀⣂⣭⣿⠿⢷⣓⡾
⠀⠀⠀⣿⣿⡆⠀⠀⠿⢿⡿⠿⡿⢋⠑⠀⠀⠀⠿⠋⡙⣷⣶⡧⠁⠉⠀⠟⠀⠹⠋⠀⠀⠸⠀⠀⠐⠂⠀⠈⠛⣿⣿⣿⣟⢛⡟⢻⣷⣾⣿⣿⣔⣚⣟⣶⣦⣤⣄⣈⣙⣛⣙⣛⣛⣟⡟⣻⣿⢿⣶⣝⡂⠙⠛⣛⡿⣯
⠈⠀⠐⢺⣿⠛⠀⠀⠀⠀⠂⠀⠁⠀⠠⠁⠀⠀⠀⠀⠰⠿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⠉⠉⠈⠉⠙⠳⠑⠂⠀⠀⠈⠉⠉⠉⠉⠉⠁⠉⠉⠉⠉⠉⠀⠈⠀⠈⠛⠛⠃⢀⠀⠀⣀
⠀⠀⠀⠀⠈⠧⠀⠀⠀⠁⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠒⠢⠀⢀⠀⡈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠛⠻⠟⠙⠟⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡄⠀⢀⣤⣤⣴⣶⣤⡀⠀⠀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⣠⠀⢠⡀⠀⢠⡄⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣿⡏⠉⣿⡏⢹⣿⡆⣿⡏⠉⣿⡇⣿⣿⠉⣿⡇⢸⣿⠉⣿⠇⢸⣿⠀⢸⣿⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⢀⢀⠀⡀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣮⣤⣠⣴⣶⣾⣿⣿⣿⣴⣧⠀⠀⠀⢀⠀⠀⠀⣠⣿⣷⣌⣬⢠⣭⣤
⢿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡽⣿⣾⣆⠀⢁⣠⣴⣾⣿⣿⣿⣿⣿⣝⣷⣿
⣦⣟⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿
⠹⣿⣦⡀⠁⠹⣿⣷⠘⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣌⣿⣿⣿⣿⣿⣿⠍⣿⣿⢋⣤⣼⠏⠁⡚⠃⠀
⠑⠹⣿⣷⣾⣶⣿⣿⣿⣿⣿⣿⢭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⡿⢿⣿⣿⣿⣿⣿⣷⠈⣍⣛⡛⢹⣿⣿⣿⣿⣿⡧⠻⠙⢿⢽⡉⣙⢿⣿⣿⢿⣿⣰⣴⣿⡇⠀⢀⣀⡀⠀⠀⠀
⠀⠀⠨⢽⣻⣿⣿⡟⠩⠄⢹⣟⣉⣯⣿⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣻⣿⣿⣿⣿⣿⣿⢿⣿⣈⣿⡛⣿⣿⣿⣿⣷⣴⡯⠿⣄⣸⣿⣿⣿⣿⣿⣇⠘⠁⠘⠘⠃⠻⣿⣿⣿⣶⣿⣿⣟⠁⠑⠙⢯⣿⣧⣘⠈⠁
⠀⠀⠨⠍⠛⡿⠟⠁⠀⣤⠙⠁⠹⣿⢸⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⠉⣹⣿⣿⣿⣿⣿⣿⣿⣧⣴⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⡀⠠⣄⣀⣻⣿⡿⠟⠩⢠⠛⠁⠀⠀⠀⠻⠿⢟⠀⠀
⠀⠀⠀⠂⠀⠁⢸⠀⠀⢾⡀⠀⠀⠿⢺⣿⣟⣿⢿⣿⣿⠿⣿⣿⣿⢿⠏⣱⣿⣿⣿⣿⣿⣿⣿⣿⢿⣇⠘⠿⣿⣿⣿⣿⣿⡿⡏⠹⡽⣿⣾⣿⣿⣿⣿⣿⠟⠁⠀⢰⣾⣿⣿⡋⣣⡀⢀⣠⣬⢻⣷⣶⣶⡶⠇⣿⠀⠀
⠀⠀⠀⠀⢀⡔⢸⡄⠀⣿⣧⣄⡀⠀⣾⣿⣿⣿⣼⣯⠁⠀⣾⣿⣿⠃⠀⣹⣿⣿⠟⢿⣿⣿⣿⣿⣾⣿⣧⣴⣿⣿⣷⣶⡜⢳⣇⢀⡁⠻⣯⣽⣽⢛⡹⡿⡃⠀⠀⠸⠝⣿⡿⠿⠿⠿⠶⠧⠀⠋⠋⠛⠋⠀⠀⠁⠀⠀
⠀⠀⠀⠀⠘⠃⣘⣷⡀⠹⣿⣿⣿⣦⣿⣿⣯⡁⢾⣀⣴⣾⣿⣿⣿⣷⠞⠱⠸⠋⠀⠀⠈⠻⣿⣿⣿⣿⣿⡯⢹⣿⡿⢿⠹⠶⠄⢐⡀⠈⣿⣿⣿⣛⢿⠣⠀⠀⠀⣀⣀⠈⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢰⣤⠀⠀⠀⠀⣿⣷⠀⠈⠈⠉⠻⣿⣿⣿⡿⠀⣼⣿⣿⣿⣿⡇⠈⠍⠉⠀⠀⠀⠀⠀⠀⠀⠛⠹⣿⣿⣿⣿⣿⣿⣿⢀⣿⣷⣇⢻⣿⣷⣿⣿⣿⡟⢠⠄⣴⣦⠀⢸⣿⣧⠀⣹⣗⣲⣲⣶⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠁⠀⠀⠀⠀⠈⠋⠀⠀⠀⠀⠀⠈⠙⢶⠏⠀⣾⣿⠉⣿⣿⡇⠀⠀⠀⠀⠀⠀⣀⠄⠀⢀⣤⡀⠀⠉⢛⣻⣿⣿⣿⣾⣿⣿⡿⣾⣿⣷⣿⣿⣿⡆⣸⣶⣿⣿⡆⠸⡿⠿⠄⢾⡶⢾⣿⣿⣶⣶⠷⠢⢄⣠⡀⠀⠀⣀
⠀⠀⠀⣀⣀⠀⠀⠀⢦⣤⣤⣤⣤⣤⣴⣿⠁⢰⣿⣿⣸⠿⠿⠷⠘⠃⠤⣤⠄⣸⡿⠃⠀⡾⢯⠭⠀⠀⠀⢸⣿⣿⣿⣿⣽⣿⣥⣽⣿⣿⣿⣿⣿⠇⣿⣿⣿⣿⡇⠐⠶⢶⣶⣂⣠⣘⣉⡋⠉⢵⡄⢀⣨⣽⣿⢿⡿⣶
⠀⠀⢠⣿⣿⡄⠀⠀⡷⢿⡿⠿⡿⠛⠻⡀⣀⠈⠽⠋⡟⣷⣶⡗⠀⠃⠰⠦⠀⠿⠃⠀⠀⠸⠉⢀⠀⠀⠀⠘⠻⣿⣿⣿⣿⠟⠻⠻⣯⣶⣴⣿⣏⣒⠿⢽⣴⣤⣀⣀⢙⢷⡊⣛⢛⣿⣿⣟⣿⠿⣿⣦⣛⠊⠛⢛⢿⣿
⠈⠀⠰⢿⣿⠃⠀⠀⠀⡀⠋⠀⠀⠈⠢⠀⠀⠀⠀⠀⠹⢿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⡏⠋⠉⠂⠈⠛⠳⠿⠁⠁⠁⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⠉⠉⠉⠈⠁⠈⠙⠛⠳⠀⠀⠀⢀
⠀⠀⠀⠀⠙⠦⠀⠀⠀⠁⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡖⡤⢔⢁⡀⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠛⠻⠟⠙⠟⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡄⠀⢀⣤⣤⣴⣶⣤⡀⠀⠀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⣠⠀⢠⡀⠀⢠⡄⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣿⡏⠉⣿⡏⢹⣿⡆⣿⡏⠉⣿⡇⣿⣿⠉⣿⡇⢸⣿⠉⣿⠇⢸⣿⠀⢸⣿⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⡀⢀⣀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣮⣔⣬⣶⣶⣿⣿⣿⣷⢶⣷⠀⡀⠀⠀⠀⠀⠀⣠⢿⣵⣭⣤⢤⡬
⠻⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣡⣹⣿⣷⡕⠀⢀⣢⣶⣿⣿⣿⣿⣿⣿⣵⣾
⣷⣯⠀⠹⢿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿
⠻⣿⣦⡈⠁⠘⣿⣷⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣀⣾⣿⣿⣿⣿⣿⠋⣿⣿⣋⡤⡾⠏⠛⠊⠁
⠔⠹⣿⣷⣾⣾⣿⣿⣿⣿⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⡇⣹⡯⣿⠋⢽⣿⣿⣿⣿⣿⡦⢫⠘⢿⣿⡀⠙⣿⣿⣿⢟⣿⣴⣶⣿⡇⠀⣀⣀⡄⠀⠀
⠀⠀⠌⢽⣻⣿⣿⡟⠉⠀⢉⣿⣁⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⢿⣯⣹⣯⣻⣿⣿⣿⣿⣇⣾⣽⢿⢀⣸⣿⣿⣿⣿⣟⣇⠈⠀⠘⠘⠁⠻⢿⣿⣿⣦⣿⣿⣛⠁⠀⠚⢯⣿⣧⣀⡀
⠀⠀⠩⠍⠛⡿⠛⠀⠀⣴⠏⠁⠘⣿⢨⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡏⠈⣿⣯⣿⣿⣿⣿⣿⣿⣽⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠠⣀⣀⣹⣿⡿⠟⠉⠠⠋⠉⠀⠀⠀⠛⠛⢻⠀
⠀⠀⠐⠂⠀⠁⢻⠀⠀⣼⡀⠀⠀⠿⢾⣿⢿⣿⣿⡿⠿⢿⣿⣿⣿⣿⠇⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⣽⡀⠹⢿⣿⣿⣿⣿⣿⣿⠍⠨⢿⣿⣿⣿⣿⣿⣿⣾⠟⠁⠀⢠⣾⣿⣿⣍⣧⣀⣀⣠⣴⣽⣷⣶⣾⠷⠇⣾⠀
⠀⠀⠀⠀⢀⡔⠘⡆⠀⢻⣧⣄⡀⠀⣾⣿⣿⣤⣿⠁⠀⢸⣿⣿⡟⠁⢠⣽⣿⣿⠟⠻⣿⣿⣿⣿⣶⣿⣿⡌⣼⣷⣿⣶⢶⡥⣾⡆⠀⠀⢿⣭⣭⣿⢛⣻⣷⠇⠀⠀⠰⠝⠻⡿⠿⠿⠷⠶⠧⡇⠋⠉⠛⠋⠀⠀⠁⠀
⠀⠀⠀⠀⠛⠀⣘⣿⡀⠨⢿⣿⣿⣦⣿⣘⠃⠸⠀⣠⣴⣿⣿⡿⣿⡷⠭⠀⠍⠹⠀⠀⠈⠻⣿⣿⣿⣶⣿⣿⠀⣹⣿⠿⡋⠱⠞⠵⢐⠀⢸⣿⣿⣷⣚⡿⠈⠀⠀⠀⣀⡀⠀⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢠⣄⠀⠀⠀⠰⣿⣧⠀⠀⠃⠉⠙⣿⣿⣿⠀⠀⢸⣿⣿⣿⣯⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠓⠚⣻⣿⣿⣿⣿⣿⣿⡿⣹⣿⣳⡧⢸⣿⣶⣿⣿⣿⡿⠀⠀⣤⣦⠀⢸⢿⣇⠈⣁⣓⣤⣶⣖⡄⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠃⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀⠈⠙⡷⠀⠃⣺⣿⡿⣿⣿⠅⠀⠀⠀⠀⠀⠀⣀⠀⠀⣶⣀⠀⠀⠙⢻⣿⣿⣿⣿⣧⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⠀⣼⣴⣾⣿⡆⢰⣾⡿⠆⢿⡯⢮⣿⣿⣦⣶⠶⠤⣤⣄⠀⠀⠀
⠀⠀⠀⣀⠀⠀⠀⠀⢒⣠⣤⣤⣤⣤⣰⡆⠀⢀⣿⣿⣿⠿⢿⣷⠲⢀⣤⣤⠀⣺⡿⠆⠀⢽⣿⢇⡀⠀⠈⢹⣿⣿⣿⣿⣮⣿⣿⣤⣽⣻⣿⣿⣿⣿⠐⣿⣿⣿⣻⠇⠐⢶⡶⣤⣂⠉⣈⡛⠛⠏⠡⠀⠀⢊⣽⣿⣿⡿
⠀⠀⢰⣿⣷⠀⠀⢠⣯⣿⣿⢿⣿⣟⠃⠁⣀⠘⢹⠋⠛⢦⣴⠇⠰⠀⣬⠅⠀⣿⠇⠀⠀⠜⠙⠃⠀⠄⠀⠐⣿⣿⣿⣷⡿⠟⠛⠿⢿⣥⣭⣽⣙⣁⠲⠯⣵⣭⣉⣀⡀⠒⣾⠏⠻⠿⢿⡿⠿⢿⣷⣦⣦⣛⠈⠓⠲⣿
⠃⠀⠌⣿⡿⠃⠀⠀⠁⠈⠅⠀⠁⠘⠂⠀⠁⠀⠀⠀⠢⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠈⠛⠒⠓⠈⠛⠻⢿⠉⠍⠉⠁⠙⠉⠛⠛⠛⠛⠋⠉⠙⠛⠛⠛⠃⠉⠁⠉⠙⠟⠷⠄⠀⠈
⠀⠀⠀⠀⠹⡆⠀⠀⠀⠂⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣤⣀⡏⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠛⠻⠟⠙⠟⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡄⠀⢀⣤⣤⣴⣶⣤⡀⠀⠀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⣠⠀⢠⡀⠀⢠⡄⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣿⡏⠉⣿⡏⢹⣿⡆⣿⡏⠉⣿⡇⣿⣿⠉⣿⡇⢸⣿⠉⣿⠇⢸⣿⠀⢸⣿⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⡀⣀⡀⠀⠀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣃⣤⣤⣶⣾⣿⣿⣿⣿⣿⣇⣀⠆⠀⠀⠀⠀⢀⣼⣽⣦⣤⡄⡤
⠻⣧⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣴⣿⣷⣷⡇⠀⣠⣴⣾⣿⣿⣿⣿⣿⣧⣯
⣷⣿⠀⠴⠿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⠿⢯⣿⣿⣿
⠻⣿⣦⡀⠀⠉⣿⣷⡀⣻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣏⢰⣿⣿⣿⣿⣿⡿⢹⣿⣟⢣⠶⠻⠉⠀⠉
⠅⠹⣿⣷⣾⣶⣿⣿⣿⡿⣿⣿⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⠈⣿⣟⡛⠸⣿⣿⣿⣿⣿⣷⠈⡁⠻⣯⣧⢈⠽⣿⣿⡿⣿⣧⣶⣾⣿⠀⢀⣀⣠⠀⠀
⠀⠀⠌⣝⡻⣿⣿⡏⠉⠀⠈⣿⣃⣾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⢻⣷⣨⣿⡛⣿⣿⣿⣿⣿⣲⣿⢿⡐⣈⣿⣿⣿⣿⣿⣿⡀⠁⠀⠁⠋⠘⠋⣿⣿⣷⣿⣿⣟⡩⠀⠀⠻⣽⣿⣄⣸
⠀⠀⠩⠍⠛⡿⠛⠀⠀⢴⡞⠉⠈⣿⣯⣿⣿⣿⣿⣿⣿⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠁⣿⣿⣿⣿⣿⣿⣿⣿⣷⣮⣾⣿⢿⣿⣿⣿⣿⣿⣷⣶⡀⠀⢄⣀⣀⢿⣿⠿⠋⠁⠜⢉⠀⠀⠀⠘⠛⠛⡇
⠀⠀⠐⠂⠀⠁⢚⠀⠀⢾⣇⠀⠀⠹⢿⣿⡿⢿⣿⠟⢛⣿⣿⢿⣿⡿⠁⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣻⣆⢘⢻⣿⣿⣿⣿⡿⡿⡯⢡⡿⢿⣿⣿⣿⣿⣿⣿⣮⠃⠀⠐⣴⣿⣿⣇⢉⣄⡀⡀⣤⣮⣿⣶⣶⡺⠾⢡⡗
⠀⠀⠀⠀⢀⢄⢸⡆⠀⢺⣿⣤⡀⠀⣿⣿⡷⢼⡏⠀⠀⣿⣽⣿⠏⠀⣀⣿⣿⣿⠟⠛⢿⣿⣿⣿⣞⣿⣿⣦⣹⣿⣿⣷⡶⢃⣬⡧⠈⡂⠘⣯⣭⣯⡟⡻⣼⡿⠀⠀⠐⠿⢛⣿⠿⠿⠿⠷⠮⠽⠘⠛⠉⠛⠁⠀⠀⠀
⠀⠀⠀⠀⠻⠀⢘⣿⡀⠀⢿⢿⣿⣷⣍⠙⠁⡍⠀⣠⣼⣿⡿⢻⣿⡷⠉⠔⠏⢉⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⡇⢩⣿⡿⣟⠧⠶⢃⠀⡀⠀⣿⣿⣿⣖⢚⡆⠃⠀⠀⠀⣀⡀⠙⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢠⣀⠀⠀⠀⢰⣿⣧⠁⠀⠃⠍⠙⣿⣿⡗⠀⠁⣸⣿⣿⣿⡇⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠛⠚⣿⣿⣿⣿⣶⣬⣿⣿⣭⣿⣗⣾⠏⣿⡇⣿⣿⣿⣿⠇⡀⢠⣴⡤⠀⣿⣿⡀⢁⣀⣲⣴⣶⡦⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠃⠀⠀⠀⠀⠙⠛⠀⠀⠀⠀⠀⠈⠙⠇⠐⠂⢸⣿⡿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⣶⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣾⣿⣿⣿⢾⣿⣿⣿⣿⣿⡇⢠⣶⣶⣿⣇⠀⣶⣿⡇⠰⣿⣭⣽⣿⣷⣴⡶⠶⢤⣀⡀⠀⠀
⠀⠀⠀⡀⠀⠀⠀⠀⣁⣠⣤⣤⣤⣤⡠⠆⠀⠠⣿⣿⠷⠿⢿⡄⠦⢀⣤⣄⠀⡿⡿⠆⠀⠸⣿⣇⠀⠀⠘⢻⣿⣿⣿⣿⣯⣿⣿⣇⣼⣿⢿⣿⣿⣿⡇⢺⣿⣿⣷⡿⠀⠲⠶⢤⣔⣚⣀⡘⠉⠻⠉⣀⠀⠐⣸⣿⣿⣿
⠀⠀⢰⣿⣷⠀⠀⢠⣾⣿⣿⣿⣿⡟⠃⠀⢀⠘⢻⠙⡳⢤⡤⠁⠰⠀⣭⠁⢐⣿⠇⠀⠀⠀⠓⠂⠀⠀⠀⠸⣿⣿⣿⡿⠿⣟⠛⠿⠿⣯⣼⣿⣟⣏⠰⠿⢥⣄⣉⣁⡀⠐⠲⠦⠙⠛⠿⠿⠿⠿⣷⣶⣦⣜⡃⠙⠗⢿
⠂⠀⠌⣿⡿⠇⠀⠀⠁⠈⠉⠀⠁⠀⠀⠀⠀⠀⠀⠀⠂⣾⡧⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣇⠀⠋⠀⠘⠂⠉⠛⠿⡍⠭⠉⠉⠀⠋⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠈⠉⠈⠉⠻⠷⢦⠀⠈
⠀⠀⠀⠈⠳⡄⠀⠀⠐⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣄⣄⡰⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠛⠻⠟⠙⠟⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡄⠀⢀⣤⣤⣴⣶⣤⡀⠀⢀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⣠⠀⢠⡀⠀⢠⡄⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣿⡏⠉⣿⡏⢹⣿⡆⣿⡏⠉⣿⡇⣿⣿⠉⣿⡇⢸⣿⠉⣿⠇⢸⣿⠀⢸⣿⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⣀⣀⣀⡀⠀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣴⣶⣶⣿⣿⣿⣷⣿⣷⢀⣀⣀⡀⠀⠀⠀⣠⣿⢕⣾⣤⣆
⠹⣯⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣽⣿⣿⣿⣄⣀⣠⣶⣿⣿⣿⣿⣿⣿⣿
⣿⣿⠀⠽⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡾⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿
⠺⣿⣷⡀⢋⠉⣿⣿⣌⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⣾⣿⣿⣿⣿⣿⡏⢿⣿⡋⣤⡾⠋⠁⠀
⠥⠹⣿⣷⣾⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⣛⡿⡛⠁⣿⣿⣿⣿⣿⣿⡶⢻⠘⢻⣽⡄⣉⢿⣿⣿⣿⣿⣤⡶⣾⡇⠀⣀⣠⡄⠀
⠀⠐⠬⣽⡻⣿⣿⡟⠈⠐⠈⣻⣏⣻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣧⣷⣽⢷⣀⣿⣿⣿⣿⣿⣿⣧⠘⠀⠛⠘⠁⠛⢿⣿⣿⣶⣿⣿⣟⠁⠀⠈⢿⣿⣧⣀
⠀⠀⠩⠍⠛⠿⠛⠀⠀⠰⡾⠉⠈⢻⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⢹⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣽⣿⣿⣿⣿⣿⣿⣷⣦⡀⠐⣄⣀⣸⣿⡿⠟⠉⠠⠋⠉⠀⠀⠀⠛⠛⢻
⠀⠀⠘⠂⠀⠁⠛⡄⠀⢰⣧⠀⠀⠘⢿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⡿⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣷⠈⢹⣿⣿⣿⣿⣿⣿⣿⠉⣼⢿⣿⣿⣿⣿⣿⣿⣿⡛⠉⠀⢰⣾⣿⣿⡏⣳⣀⣀⣠⣼⣙⣷⣶⣶⣶⠯⣼
⠀⠀⠀⠀⢀⡔⠈⣇⠀⢸⣿⣦⡀⠀⣸⣿⠇⣿⡋⠀⠀⣿⣿⣿⣏⠀⣠⣷⣿⣿⡏⠻⣿⣿⣿⣿⣯⣿⣿⣷⡄⣿⣿⣿⣶⢖⢤⣯⡂⣃⠀⢻⣭⣯⣿⣛⣿⣿⡇⠀⠀⠸⠿⠟⣿⠿⠿⠿⠷⠯⠏⠛⠋⠁⠋⠀⠀⠀
⠀⠀⠀⠀⠺⠀⠘⣿⣆⠀⢿⣿⣿⣷⡉⠏⠀⠇⠀⣠⣼⣿⡟⢿⣿⡿⡂⢍⡉⠩⠁⠀⠀⢿⣿⣿⣿⣿⣿⣿⣯⠈⣿⣿⢿⡧⠶⠞⠄⢰⡀⢸⣿⣿⣷⣛⡿⡩⠁⠀⠀⢀⣀⡀⠳⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀
⢠⡄⠀⠀⠀⢰⣿⣧⠁⠀⠃⠍⠛⢻⣳⡆⢸⠁⢰⣿⣿⣿⡅⠀⢘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⡿⣿⣿⣿⣿⣅⣽⣿⡿⣽⣿⣰⡔⣽⣿⢸⣿⣿⣿⡿⠠⠀⣤⣤⠀⢸⣿⣇⠀⣁⣖⣀⣒⡆⡀⠀⠀⠀⠀⠀⠀⠀
⠘⠉⠀⠀⠀⠀⠙⠛⠀⠀⠀⠀⠀⠀⠉⠃⡸⠃⢸⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢶⡀⠀⠈⠙⠻⣿⣿⣿⣿⣿⣹⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⠀⣰⣶⣾⣿⡀⢰⣶⣿⠆⢺⣯⣭⣿⣿⣦⣦⡶⠶⣤⣀⡀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢠⣠⣤⣤⣤⣤⣀⠀⠃⢀⣿⣿⣿⠿⢿⡠⢄⢀⣀⡀⠀⣼⡿⠆⠀⢸⣿⣧⡀⠀⠀⢛⣿⣿⣿⢿⣯⣽⣿⣿⣄⣿⣿⢿⣿⣿⣿⠰⣿⣿⣿⣿⠇⠀⠴⣤⣤⣐⠆⠘⠋⠛⠟⠉⡀⠀⠀⣿⣷⣿
⠀⠀⢠⣿⣷⠀⠀⢀⡌⣿⣿⣿⣿⡿⠃⠀⣀⡈⢻⡿⠓⢤⡤⠀⠤⠈⣹⠁⢰⣿⠇⠀⠀⠀⠘⠒⠁⠀⠀⠠⣿⣿⣿⡿⣾⣿⡻⠿⣿⣿⣋⣯⣿⣿⡋⢦⢭⣉⣉⣉⣀⠀⠲⢶⢍⠻⠿⢷⡿⡿⢷⣷⣾⣄⡹⠍⠛⠶
⠂⠀⡼⣿⡿⠇⠀⠈⠁⠙⠽⠉⠉⠀⠂⠀⠉⠀⠀⠀⠃⣾⡇⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠤⠈⠀⠀⠀⠈⣿⣿⡇⠀⠄⠁⠐⠣⠈⠻⠿⣿⠋⡉⠒⠂⠘⠛⠛⠛⠷⠲⠚⠛⠛⠻⠷⠛⠓⠂⠃⠈⠙⠿⠷⡄⠀
⠀⠀⠀⠉⠳⡄⠀⠀⠰⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⣀⣀⡨
⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁
⢀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠛⠻⠟⠙⠟⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡄⠀⠀⣤⣤⣴⣶⣤⡀⠀⠀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⣠⠀⢠⡀⠀⢠⡄⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣿⡏⠉⣿⡏⢹⣿⡆⣿⡏⠉⣿⡇⣿⣿⠉⣿⡇⢸⣿⠉⣿⠇⢸⣿⠀⢸⣿⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⣀⡀⣀⡀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣖⣠⣶⣾⣾⣿⣿⣿⣿⣿⣇⢀⢄⠀⠀⠀⠀⢀⣴⣽⣸⣵⡅
⠙⢿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⣿⣿⣿⣿⡆⠀⣀⣴⣾⣿⣿⣿⣟⣿⣿
⣽⣿⠀⠠⠿⡿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⠿⣿⣿⣿⣷⣿⣿⣿⣿⢿⡿⠿⢻⣿⡿
⠺⣿⣶⡄⢀⡁⣿⣿⣦⣩⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣷⣾⣷⣿⣿⣿⣿⣿⣿⣿⢿⣿⠛⣿⣿⢰⣿⣿⣿⣿⣿⡿⠹⣿⣟⢀⡤⡎⠉⠑
⢆⠘⣿⣷⣾⣾⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⡧⢈⣿⣭⠋⢸⣿⣿⣿⣿⣿⣷⠈⡁⠙⣿⣿⠀⣙⣿⣿⣿⣿⣧⣴⢶⣿⠀⢀⣀⣠⠀
⠀⠀⠌⢯⡻⣿⣿⡿⠁⠀⠉⢹⣏⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣹⣿⣻⣿⣿⣿⣿⣧⣰⢭⡿⡇⣨⣿⣿⣿⣿⣿⣷⡄⠁⠀⠁⠙⠈⠓⣿⣿⣿⣾⣿⣿⡋⠄⠀⠚⢿⣿⣄
⠁⠀⠩⠌⠛⡿⠛⠁⠀⠠⡾⠉⠁⢹⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠈⣿⣿⣿⣿⣿⣿⣿⣿⣯⣢⣾⣾⣿⣿⣿⣿⣿⣿⣿⣷⣀⠀⢠⣀⣀⣻⣿⡿⠋⠁⠘⠉⠁⠀⠀⠀⠛⠛
⠀⠀⠐⠂⠀⠁⠸⡇⠀⠠⣷⡀⠀⠐⢿⡿⢿⣿⣿⠋⢽⣿⣿⣿⣾⠿⠁⣽⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⣽⡄⠚⢿⣿⣿⣿⣿⣿⣿⡏⠡⡿⢿⣿⣿⣿⣿⣿⣿⣏⠋⠈⠀⢶⣿⣿⡗⡉⣁⡀⠀⣠⣾⣽⣶⣶⣶⠶⢣
⠀⠀⠀⠀⢀⡔⠀⣷⠀⠘⣿⣧⣄⠀⣼⣿⢄⣿⠁⠀⢨⣿⣿⣿⡏⠀⣀⣾⣿⣿⡏⠛⢿⣿⣿⣿⣶⣸⣿⣿⣦⣼⣿⣿⣷⣶⣡⣼⣗⠈⡀⠘⣯⣭⣭⣟⣛⡋⠿⠀⠀⠀⠿⠛⣿⠿⠿⠿⠷⠾⠴⠘⠋⠉⠘⠁⠀⠀
⠀⠀⠀⠀⠸⠀⠀⣿⣇⠀⠹⣿⣿⣿⠉⠇⠸⠉⠀⣠⣼⣿⠟⢻⣿⡿⠀⡙⠉⠛⠁⠀⠀⠙⣿⣿⣿⣯⣿⣿⣿⡄⢹⣿⠿⣟⠥⠶⠛⠀⣀⠀⣿⣿⣿⡆⡻⠋⠃⠀⠀⠀⣀⠀⠈⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢠⣀⠀⠀⠀⠠⣿⣷⠈⠁⠘⠈⠙⠻⣳⡄⢺⠏⢀⣿⣿⣿⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠻⠿⣿⣿⣿⣿⣄⢸⣿⣿⢱⣿⣷⣆⢪⣿⡇⣿⣿⣿⣿⠆⡀⢠⣤⡤⠀⣿⣟⡂⠈⣐⣶⣐⣦⡀⠀⠀⠀⠀⠀⠀⠀
⠈⠉⠀⠀⠀⠀⠙⠛⠀⠀⠀⠀⠀⠀⠉⠁⣾⠒⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢰⡄⠀⠈⠛⠿⣿⣿⣿⣎⣿⣇⣼⣿⣿⣿⣼⣿⣯⣿⣿⣿⡇⢀⣄⣴⣿⣷⠀⢲⣾⣷⠠⣿⣭⣭⣿⣷⣴⣶⠦⢤⣀⣀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⡀⠀⠿⢀⣾⣿⣿⣿⢷⠠⡄⢀⣀⡀⠀⢾⣿⡆⠀⠸⢿⣦⡀⠀⠀⠞⣿⣿⣿⣸⣿⣭⣝⣿⡧⣘⢿⣿⣿⣿⣿⡇⢺⣿⣿⣛⣿⠀⢠⠤⣤⣜⠚⡁⠘⠛⠻⠋⠁⠀⠀⢸⣿⣿
⠀⠀⢀⣿⣷⠀⠀⢈⡄⣿⣿⣿⣿⣿⠃⠀⠀⡊⠿⡟⠻⢠⡌⠀⡄⠉⣛⠋⠰⣾⠇⠀⠀⠀⠈⠕⠃⠀⠀⠠⣿⣿⣿⡟⣻⢿⣿⠿⣿⣿⣟⣸⣿⡯⡏⠀⣽⢩⣉⣉⡋⠀⠀⠴⣽⠛⠷⣾⣿⣶⣶⣶⣾⣷⣄⠯⠙⠻
⠂⠀⡬⣿⣿⠇⠀⠈⠃⠙⠯⠁⠁⠈⠀⠀⠉⠀⠀⠀⠀⢸⡅⠀⠀⠀⠉⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡗⠀⠨⠈⡤⠲⠄⠙⠿⣿⡛⢛⠒⠂⠘⠙⠛⠛⠻⠶⠾⠿⠒⠲⠶⠾⠗⠒⠐⠀⠉⠻⠿⣦⡀
⠀⠀⠀⠈⢳⡄⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⢀⡀
⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀
⢀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠛⠻⠟⠙⠟⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡄⠀⢀⣤⣤⣴⣶⣤⡀⠀⠀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⣠⠀⢠⡀⠀⢠⡄⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣿⡏⠉⣿⡏⢹⣿⡆⣿⡏⠉⣿⡇⣿⣿⠉⣿⡇⢸⣿⠉⣿⠇⢸⣿⠀⢸⣿⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⣀⣀⣀⢀⡀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣨⣶⣾⣿⣿⣿⣿⣿⣷⣷⣄⡔⡃⠀⠀⠀⢀⣴⣯⣴⣄
⠀⣙⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣟⣿⣿⡏⠀⢀⣤⣾⣿⣿⣻⣿⣿
⣶⣿⡇⠰⢽⠻⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢻⣿
⡘⢿⣿⣤⠐⡀⢸⣿⣿⣄⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣷⣿⢿⣿⣿⣿⣿⣿⣿⠿⣿⠟⢿⣿⢀⣿⣿⣿⣿⣿⣿⠈⣿⣟⣃⣤⠾⠉
⣾⠈⢿⣿⣶⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⡇⢐⣿⡿⠁⣸⣿⣿⣿⣿⣿⣿⠀⠁⠈⣿⣿⡀⡈⢿⣿⣯⢯⣿⣴⣶⣿⠆⢀⣀⣠
⡴⠀⠀⢩⣹⣿⣿⣿⠏⠀⠠⠉⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣣⣼⣿⣻⣿⣿⣿⣿⣦⣘⣩⣟⣅⣨⣿⣿⣿⣿⣿⣷⡆⠈⠀⠉⠘⠀⠙⢿⣿⣿⣶⣿⢿⣋⠁⠀⠒⠫⣿
⠃⠀⠉⠉⠙⠾⠛⠁⠀⠀⠰⣿⠉⢸⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡌⠀⣿⣯⣿⣿⣿⣿⣿⣿⣿⣧⣾⣾⣿⣿⣿⣿⣿⣿⣿⣷⣀⠀⠀⠀⠀⠸⣟⠿⠛⠁⠀⠉⠉⠀⠀⠀⠙
⠀⠀⠈⠂⠀⠉⠘⢧⠀⠀⢰⣿⠀⠸⢿⣿⣿⣿⡟⠙⣿⣿⣿⣿⣿⠿⠃⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⡿⡿⣷⡀⠙⢿⣿⣿⣿⣿⠿⡿⡏⠡⡿⣿⣿⣿⣿⣿⣿⡿⣯⠉⠀⠀⣴⣾⣿⣷⣈⣡⣀⢀⢀⣤⢉⣶⣶⣶⠶
⠀⠀⠀⠀⠀⢠⠀⢸⣆⠀⢸⣿⣦⣀⣶⡇⣸⡟⠁⠀⢹⣿⣿⣿⢃⠀⣠⣾⣿⣿⣿⠻⢿⣿⣿⣿⣿⣯⢱⣿⣿⣆⣸⣿⣮⣷⣶⡄⣰⡇⢙⡀⠈⣿⣽⣯⣿⢛⠛⢻⠀⠀⠀⠺⠙⠟⣿⠿⠾⠿⠶⠇⠄⠋⠋⠉⠋⠀
⠀⠀⠀⠀⠸⠇⠀⢸⣿⡆⠀⢟⣿⠛⢻⠀⡍⢃⡀⢠⣼⣿⠛⠳⣿⡷⢃⠻⣟⠩⠟⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⠁⢹⣿⡿⠿⠧⠶⡖⠀⣁⠀⢸⣿⣿⣇⣀⡇⠀⠀⠀⠀⢀⡀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢰⣄⠀⠀⠀⠀⣼⣿⡍⠉⠁⢃⠛⠂⡀⠀⣶⡿⠀⢘⣿⣏⠀⠀⠹⠃⠀⠀⠀⠀⠀⠀⠀⠀⠰⠿⢿⣿⣿⣿⣿⣿⠀⢸⣿⡟⢯⣿⣟⣦⠂⣿⣷⢸⣿⣿⣿⡏⠁⢀⣠⣤⠀⢸⣟⣂⠀⣀⣐⢂⡒⡠⠀⠀⠀⠀⠀⠀
⠘⠟⠀⠀⠀⠀⠘⠿⠇⠀⠀⠀⠀⠀⠁⠀⣶⡷⠆⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣧⠈⣿⣷⣿⣿⣿⣿⢸⣿⣿⣸⣿⣿⣿⠀⣀⣠⣼⣶⠀⢰⣶⣿⡄⣸⣭⣝⣿⣿⣥⣤⡴⠦⣀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⡀⠀⢺⢇⢠⣿⣿⣾⡇⣀⡀⠀⠀⠀⠀⢰⣾⡅⠀⠀⠨⣤⣀⠀⠀⢸⠿⣿⣿⡆⢼⣿⣟⣻⢿⣏⡘⣿⣿⣿⣿⣿⡟⢰⣿⣿⣿⣿⠇⠀⢤⣤⣀⠢⠅⠀⠋⠟⠟⠋⠀⠀⠄⣿
⠀⠀⠀⣾⣷⡀⠀⠀⣀⢿⣿⣿⣿⣿⠇⠘⠁⢺⠿⢿⠛⠆⠐⢈⡁⠘⠿⠟⠀⣬⡏⠁⠀⠀⠀⠹⠝⠀⠀⠀⢈⣿⣿⣿⢶⣷⢯⠿⠿⣿⣷⣾⣁⣙⣝⡟⠁⣸⡋⣉⡙⠛⠀⠀⢡⣴⠻⠷⣶⣶⣶⣶⣶⣶⣾⣀⠺⡏
⠄⠀⣈⣿⣿⣇⠀⠀⠛⠸⡛⡋⠈⠉⠀⠄⠀⠈⠀⠀⠀⠊⠀⠀⠁⠐⠟⠀⠀⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⣿⣿⠀⠀⠉⠁⡀⠹⡉⢻⣿⣟⡿⠓⠒⠠⠀⠉⠛⠿⠶⣦⡤⠭⠤⠤⢤⣤⣾⠦⠩⠭⠙⠿⣿⣶
⠀⠀⠁⠙⢻⡄⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁
⢀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠛⠻⠟⠙⠟⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡄⠀⠀⣤⣤⣴⣶⣤⡀⠀⠀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⣠⠀⢠⡀⠀⢠⡄⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣿⡏⠉⣿⡏⢹⣿⡆⣿⡏⠉⣿⡇⣿⣿⠉⣿⡇⢸⣿⠉⣿⠇⢸⣿⠀⢸⣿⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⣀⣀⡀⢀⡀⢀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣶⣾⣿⣿⣿⣿⣿⣷⣷⣔⢄⣠⠀⠀⠀⢀⣴⣯⣭⣬
⠀⣙⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣟⣟⣿⣿⣷⡠⢀⣤⣾⣿⣿⣿⣿⣿
⣶⣿⡇⠠⢹⣻⢿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣾⣿⡿⣿⣿⣿⠿⢻⣿
⡘⢿⣿⣤⠐⡀⢹⣿⣿⣄⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣶⣿⢿⣿⣿⣿⣿⣿⣿⠿⣿⠗⢾⣿⢀⣿⣿⣿⣿⣿⣿⠍⣿⣟⣓⣤⠞⠉
⣾⠈⢿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢨⣿⣿⡁⢺⣿⣿⣿⣿⣿⣿⠀⢁⠈⣿⣿⡀⣈⢿⣿⣿⢯⣿⣴⣶⣿⢆⢀⣀⣠
⡴⠀⠀⢭⣙⣿⣿⣿⠏⠁⠀⠉⣿⣽⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣂⣸⣿⣻⣿⣿⣿⣿⣷⣸⣿⢿⢦⣸⣿⣿⣿⣿⣿⣽⡄⠈⠀⠉⠘⠀⠙⢽⣿⣿⣶⣿⣿⣋⠁⠀⠐⢻⣿
⠃⠀⠉⠍⠛⠾⠟⠃⠀⠀⠰⣿⠉⢸⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣿⣿⣿⣿⣿⣿⣿⣷⢀⠀⠀⠀⠀⠸⣟⡟⠏⠁⠀⠉⠁⠀⠀⠀⠛
⠀⠀⠘⠂⠀⠉⠘⢣⠀⠀⢸⣿⠀⠸⢿⣿⣿⣿⡟⠛⣿⣿⣿⣯⣿⠿⠃⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⡿⣿⣷⡄⠙⣿⣿⣿⣿⣿⠿⣿⡏⠵⡿⣿⣿⣿⣿⣿⣿⣿⡧⠉⠀⠀⣴⣾⣿⣷⠈⣡⣀⢀⣀⣤⣽⣶⣶⣶⣶
⠀⠀⠀⠀⠀⢠⠀⢸⣆⠀⠸⣿⣦⣀⣴⡇⣸⡟⠁⠀⢹⣿⣿⣿⣏⠀⠀⣾⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⢾⣿⣿⣆⣸⣿⣿⣷⣶⡀⣼⡇⢠⡄⠈⣿⣽⣭⣿⣛⡛⢩⠀⠀⠀⠺⠙⣿⣿⠿⠿⠷⠶⠥⠀⠋⠋⠙⠋⠀
⠀⠀⠀⠀⠸⠅⠀⢸⣿⣆⠀⢟⣿⠛⢻⠁⡏⢃⡀⢠⣼⣿⢛⣳⣿⡿⡃⢘⣿⠛⡿⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⠁⢹⣿⡿⡿⠦⠶⠗⠈⣀⠀⢨⣿⣿⣇⠐⡃⠨⠀⠀⠀⢀⡀⠀⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢰⣄⠀⠀⠀⠀⣼⣿⡍⠉⠁⢃⠛⠂⡀⠀⣶⡿⠀⢸⣿⣏⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠨⠿⢿⣿⣿⣿⣿⣿⠀⢸⣿⣟⣿⣷⣟⣯⠐⣿⣷⢸⣿⣿⣿⠏⠁⢀⣠⣤⠀⢸⣟⣃⠀⣀⡐⣂⣲⡤⡀⠀⠀⠀⠀⠀
⠈⠟⠀⠀⠀⠀⠘⠿⠇⠀⠀⠀⠀⠀⠁⠀⣷⡟⠄⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣧⠈⣿⣷⣽⣿⣿⣿⣸⣿⣿⣸⣿⣿⣯⠀⣀⢰⣾⣶⠀⢰⣶⣿⡆⣼⣯⣝⣿⣿⣥⣤⡶⠤⣄⢀
⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⡀⠀⣸⢇⣠⣿⣿⣮⡇⣀⡀⠀⠀⠀⠀⢰⣾⣅⠀⠠⢩⣤⣀⠀⠀⠰⠿⣿⣿⡆⢸⣿⣝⣿⠿⣏⣘⢿⣿⣿⣿⣿⡏⢰⣿⣿⣿⣿⠇⠀⢤⣤⣀⠦⣃⠀⠛⠟⠟⠋⠁⠀⠠⣿
⠀⠀⠀⣿⣷⡀⠀⠀⣀⢿⣿⣿⣿⣿⠇⠔⠛⢺⠻⠿⠛⠆⠐⢀⡁⠘⠿⠗⠀⣬⡏⠁⠀⠀⠀⠹⠟⠀⠀⠀⢘⣿⣿⣿⢶⣽⢿⠿⠿⣿⣯⣟⣁⣚⣽⡟⠁⣸⣛⣉⡛⠛⠀⠀⠡⣤⡛⢷⣶⣶⣶⣶⣶⣶⣾⣆⣲⡏
⠄⠀⣈⣿⣿⣇⠀⠀⠛⠸⣛⠉⠉⠉⠀⠄⠀⠉⠀⠁⠠⠎⠁⠀⠁⠐⠿⠀⠀⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⣿⣿⠀⠀⠙⠀⡀⣯⡉⢻⣿⣟⣻⠻⠖⠀⠁⠉⠛⠿⢶⣦⡴⠥⠤⠤⢤⣴⣾⠧⠀⠭⠙⠿⣿⣷
⠀⠀⠁⠙⢻⡄⠀⠀⠀⡀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠈
⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉
⢀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠛⠻⠟⠙⠟⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡄⠀⢀⣤⣤⣴⣶⣤⡀⠀⠀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⣠⠀⢠⡀⠀⢠⡄⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣿⡏⠉⣿⡏⢹⣿⡆⣿⡏⠉⣿⡇⣿⣿⠉⣿⡇⢸⣿⠉⣿⠇⢸⣿⠀⢸⣿⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⣀⡀⣀⣀⣀⡀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣧⣠⢄⠀⠀⠀⠀⣠⣾⣿
⢆⣈⣟⠟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣶⣿⣿⣿⡄⢀⣠⣶⣿⣿⣿⣿
⣾⣾⣿⠀⠍⡿⢿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢛⠟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣟⣿⣿⡿⠟
⣷⢻⣿⣶⠀⠀⠀⣿⣿⣧⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣾⡷⢿⣿⣿⣿⣿⣿⣿⡿⣿⠷⣹⣿⡇⣸⣿⣿⣿⣿⣿⡏⠹⣿⡛⡠⢶
⣾⡆⠻⣿⣶⣿⣿⣿⣿⣏⣻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢼⣭⡸⠁⠸⣿⣿⣿⣿⣿⣟⠁⠀⠀⢻⢷⣇⠀⡙⣿⣿⣽⣽⣧⣶⣾⡇⡀⣀
⣴⠃⠀⠩⣙⢿⣿⣿⡧⠀⠀⠸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣯⣫⣿⣻⣿⣿⣿⣿⣇⣐⡟⠩⠄⢠⣿⣿⣿⣿⣿⣿⣧⠈⠀⠈⠀⠃⠀⠀⣿⣿⣷⣾⣿⣿⠁⠀⠀⠻
⠊⠀⠈⠃⠙⠻⠟⠛⠁⠀⠀⢸⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡌⠈⣿⣷⣿⣿⣿⣿⣿⣿⣯⢡⢿⣮⣿⣿⣿⣿⣿⣯⢏⣷⡆⠀⠀⠀⠀⠀⢿⣿⠿⠉⠁⠌⠉⠀⠀⠀
⠀⠀⠀⠀⠀⠈⠀⠿⠆⠁⠀⠸⣷⣿⣿⣿⣿⣿⡏⠩⣻⣿⣿⡯⣿⣿⠋⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣳⡀⠘⢿⣿⣿⣿⣿⡿⢿⡯⢩⡿⠿⣿⣿⣿⣿⣿⣿⣮⠁⠁⠀⢠⣼⣿⣷⡂⠁⠀⠀⠀⣀⣈⣳⣶⣶
⠄⠀⠀⠀⠀⠀⠀⠀⣹⡀⠀⢶⡿⣦⣼⠉⣿⠙⠁⠀⢸⣻⣿⣿⢇⡀⠀⢮⣿⣿⣿⡿⡿⢿⣿⣿⣿⣿⣿⣷⣿⣿⣆⣸⣿⣿⣿⣾⡇⣠⡕⠀⡅⠀⢽⣭⣿⣽⠿⢿⢟⡀⠀⠀⠐⠛⠛⠛⠿⠾⠿⠶⠆⢉⠘⠉⠉⠋
⠀⠀⠀⠀⠀⠆⠀⠀⣿⣿⠀⠈⣿⠿⡟⠉⡟⠇⣀⠠⣸⣿⠏⣳⣾⡷⠶⢘⣿⡿⠝⠃⠀⠀⠹⣿⣿⣿⣿⣿⣯⣭⣿⠁⠙⣿⣿⡿⠇⣤⡌⠀⢁⠀⠈⣿⣿⣿⠩⡦⠀⠁⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⣄⡀⠀⠀⠀⢠⣿⡏⠉⠉⠐⠁⠀⠁⠀⡥⣾⠏⠀⣹⡇⠀⠀⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⣿⣻⣿⡌⣻⣿⣿⡀⢈⣿⣿⣋⣶⣶⣰⠀⣾⣶⢠⣿⣿⣿⣯⠁⠀⢀⣀⡀⠀⣶⣒⠀⠀⠒⢂⡀⠠⠀⠀⠀⠀⠀
⠘⠿⠃⠀⠀⠀⠘⠿⠗⠀⠀⠀⠀⠀⠀⠀⢻⣾⠢⢰⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⣿⣿⣿⣿⣧⠈⣿⣿⣸⣿⣯⣿⢰⣿⣿⡸⣿⣿⣿⠁⠀⠀⣭⣭⡇⠀⣤⣾⡆⠨⣯⣙⣻⣿⣆⣠⣠⣄⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⡠⡭⠀⣸⣿⣿⡀⠀⠀⠀⠀⠀⠀⢀⣤⡖⠀⠀⠀⠀⠀⠀⠀⠉⢙⢿⣿⣿⠀⢸⣿⣟⠻⠿⠟⠈⢿⣿⣿⣿⣿⡿⠀⣼⣶⡿⠯⣁⠀⢉⣉⣁⠠⢍⠉⠿⢿⠿⠟⠋⠀⠈
⠀⠀⠀⣸⣶⡄⠀⠀⠀⢰⣿⣿⣿⣿⠀⠄⠿⡀⡿⡿⣿⣿⡇⠙⠓⢴⣶⡶⠀⣀⣛⠛⠀⠀⠀⠀⠨⡀⠀⠀⠈⢸⣿⣿⣷⠼⣭⣿⡻⣶⣴⣷⣷⠂⠙⢫⡿⠃⠀⠝⠉⠛⠇⠅⠀⢀⣭⡙⠷⣷⣵⣶⣤⣤⣤⣤⣀⡐
⡄⠀⠀⢻⣿⣥⠀⠀⠿⠘⣿⠿⠏⠛⠀⠀⠀⠈⠂⠀⠀⠘⠀⠐⠂⠀⣤⠁⠀⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⣿⠀⠈⠙⠂⠀⢈⠉⠻⣿⠿⠶⠯⣤⣍⠉⠙⠻⠶⢦⣤⣀⣀⣤⣀⣈⣉⣷⣿⣉⣙⡛⠿⠿
⠀⠀⠈⠙⢿⣇⠀⠀⠀⡀⠉⠁⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⠀⠀⠀⠀⠁⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠉⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠛⠻⠟⠙⠟⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡄⠀⠀⣤⣤⣴⣶⣤⡀⠀⠀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⣠⠀⢠⡀⠀⢠⡄⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣿⡏⠉⣿⡏⢹⣿⡆⣿⡏⠉⣿⡇⣿⣿⠉⣿⡇⢸⣿⠉⣿⠇⢸⣿⠀⢸⣿⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⣀⣀⢀⣀⡀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣥⠒⡦⠀⠀⠀⢀⣴⣿
⣿⣫⣿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢩⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿⣇⠄⢀⣤⣾⣿⣿⣿
⣿⣿⣿⡂⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⢻⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿
⣷⢿⣿⣷⡌⠉⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣯⣾⡿⢿⣿⣿⣿⣿⣿⣿⢿⡿⠏⢺⣿⠁⣿⣿⣿⣿⣿⣿⠉⠿⣟⠋⡤
⣿⣧⠻⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⡛⣿⣿⣿⣿⣿⣿⣿⠂⠘⠽⢈⠀⢺⣿⣿⣿⣿⣿⡏⠀⠀⠈⢻⢸⡄⠈⢻⣿⣿⡯⣿⣴⡶⣿⠇⢀
⣽⠏⠀⠉⣝⣿⣿⣿⣿⠏⠉⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣻⣍⣿⣟⢿⣿⣿⣿⣿⣆⣘⠐⠷⠂⣼⣿⣿⣿⣿⣯⣿⡄⠈⠀⠈⠈⠁⠀⢨⣿⣿⣾⣿⣿⣏⠁⠀⠀
⠚⠀⠈⠓⠙⠻⠿⠛⠁⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢹⣿⣾⣿⣿⣿⣿⣿⣿⣤⡔⣾⣼⣿⣿⣿⣿⣿⣿⣛⢶⠀⠀⠀⠀⠀⠘⣿⡿⠟⠉⠀⠋⠃⠀⠀
⠀⠀⠀⠂⠀⠘⠀⠻⡖⠀⠀⢸⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⠟⢡⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣽⢿⣆⠈⠻⣿⣾⣿⣿⣿⣿⣿⡏⢸⡿⢿⣿⣿⣿⣿⣿⣷⣍⠈⠀⠀⢠⣶⣿⣷⠈⠁⠀⠀⢀⣤⣙⣷⣶
⡅⠀⠀⠀⠀⠀⠀⠀⣿⣇⠀⠲⣾⣬⣽⠉⡿⠛⠃⠀⣿⣻⣿⣿⣟⡀⢀⣴⣿⣿⣿⣿⠻⢿⣿⣿⣿⣿⡟⣿⣼⣿⣧⣀⣿⣿⣿⣿⣯⠀⣨⡀⢈⠁⠀⣿⣽⣿⡿⠿⠿⠗⠀⠀⠀⠸⠛⠛⠼⠿⢷⠵⠶⠎⡉⠙⠉⠙
⠁⠀⠀⠀⠀⡆⠀⠀⢿⣿⡆⠈⠻⢿⡟⠓⡿⠇⣠⡤⢽⣿⣟⣳⣾⣷⡯⣽⣿⣿⡿⡿⠀⠀⠙⣿⣿⣿⣿⣿⣿⣯⣿⡷⠙⢻⣷⣶⡟⠡⣽⠁⠈⡀⠀⢹⣿⣿⡏⢡⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢠⣄⡀⠀⠀⠀⢠⣾⣯⠉⠉⠑⠀⠀⠁⢀⣣⣾⡿⠀⢼⡇⠀⠈⠿⠟⠀⠆⠉⠩⠀⠈⠀⠀⠀⢈⣿⣿⣿⣇⡙⣿⣿⣧⠀⢻⣿⡏⢡⣶⣦⡇⢔⣷⡦⢸⣿⣿⣿⡏⠁⠀⢀⣀⠀⢰⣶⠆⠀⠐⠂⡄⠀⠤⠀⠀⠀⠀
⠚⣿⠇⠀⠀⠀⠈⠿⠿⠀⠀⠀⠀⠀⠀⠈⠹⣾⡧⠄⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠭⣽⣿⣿⣿⣿⡄⢹⣿⣇⣿⣿⣿⣇⢸⣿⣷⢸⣿⣿⣏⠀⠀⢀⣭⣭⠀⠠⣤⣿⡄⢸⣏⣛⣻⣿⣆⣀⣠⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⣼⠀⣀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⠀⠀⠀⠀⠀⠀⠀⠈⠛⣻⣿⣿⣇⠀⣻⣿⡛⣿⣿⠏⠸⣿⣿⣿⣿⣿⡟⢀⣼⣾⡿⢝⡆⠈⣉⣉⡁⢈⡙⠉⡻⠿⡿⠟⠁⠀
⠀⠀⠀⢸⣶⡆⠀⠀⠂⢠⣿⣿⣿⣿⠀⣼⠟⢫⣸⢿⣿⡿⡆⠙⠆⢠⣴⣦⠀⠀⣿⠿⠂⠀⠀⠀⠀⠄⠀⠀⠘⠃⣿⣿⣷⣶⡭⣽⣟⣳⣤⣶⣶⡶⠉⠙⢹⠟⠁⠀⡿⠙⠻⠖⠀⠀⢉⣉⢹⣷⣵⣦⣦⣤⣤⣤⣄⣂
⡀⠀⠀⢾⣿⣯⠀⠀⠸⠆⣿⣿⠟⠋⠀⠀⠈⢁⠟⠀⠹⠡⠀⠰⠆⠀⣭⠉⠀⣾⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣽⣿⣿⡂⠉⠉⠯⠉⠉⠛⠛⢷⡾⠶⢴⣴⣄⣉⡛⠛⡶⣶⣤⣄⣈⢉⣁⣉⣉⣙⣍⣫⡋⣛⠿⠿
⠀⠀⠘⠹⢿⣏⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠦⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠛⠻⠟⠙⠟⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡀⠀⠀⣤⣤⣴⣶⣤⡀⠀⠀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⣠⠀⢠⠀⠀⢠⡄⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣿⡏⠉⣿⡏⢹⣿⡆⣿⡏⠉⣿⡇⣾⣿⠉⣿⡇⢸⣿⠉⣿⠇⢸⣿⠀⢸⣿⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⣀⣀⡀⠀⣀⣀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⣠⣴⣾⣿⣿⣿⣿⣽⣿⣿⣄⣫⣿⠀⠀⠀⣀⣴
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣯⢸⣿⣿⣿⣿⣗⣢⣾⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠙⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢿⣿⠿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣷⣿⢿⣿⣿⣿⣿⣿⣿⡿⢿⡿⠊⣺⣿⢀⣿⣿⣿⣿⣿⣿⠹⣿⣟⢃
⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣝⣛⠛⢿⣿⣿⣿⣿⣿⡷⠈⠉⠁⠁⠐⣿⣿⣿⣿⣿⣿⠁⠀⠀⠘⡇⢾⠀⠈⢿⣿⣯⣿⣷⣴⢶⣿⠀
⣿⡟⠩⢟⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢟⣣⣠⣿⡻⣿⣿⣿⣿⣧⣀⡈⠔⠣⢀⣼⣿⣿⣿⣿⣥⣷⡀⠁⠀⠁⠈⠁⠀⢸⣿⣿⣾⣿⣿⡋⠀⠀
⡿⠀⠘⡺⠿⠿⡿⠿⡏⢿⡻⢥⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡅⠈⣿⣿⣿⣿⣿⣿⣿⣿⣧⡢⣴⣦⣹⣿⣿⣿⣷⣿⡟⢳⣆⠀⠀⠀⠀⠀⠸⣿⡿⠏⠁⠸⠉⠁⠀
⡀⠀⠀⡆⠀⠘⠉⢿⡾⠚⠂⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣯⡿⣳⡀⠙⢿⣷⣿⣿⣿⡿⣿⣿⠉⣿⠿⢿⣿⣿⣿⣿⣿⡇⠁⠀⠀⠀⢤⣾⣿⡖⠉⠀⠀⠀⢠⣀⢓⣶
⣧⠀⠀⠀⠀⠀⠀⠸⣧⣷⡀⠐⣿⣿⣿⠛⣿⠿⠏⠈⣿⣿⣿⣿⡿⡉⣠⣤⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⢻⣶⣿⣿⣄⠸⣿⣯⣿⣿⣠⢠⣇⠀⠈⠀⠸⣧⣿⣿⡿⠿⠷⠀⠀⠀⠀⢻⠛⠋⠿⠶⡮⠧⠴⠀⢁⠋⠋
⡗⠀⠀⠀⠀⣶⢐⠰⢿⣿⣇⡀⢻⣿⡿⠴⣿⡆⣀⣤⣿⣿⣟⠻⣿⣷⡭⢿⣿⣿⣿⢿⠃⠈⠉⢿⣿⣿⣿⡿⢿⣿⣭⣿⡎⠙⣿⣷⣶⠇⣠⣭⠀⠀⠀⠀⣿⣿⣿⠍⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣅⣀⠀⠀⠀⠀⢀⣴⣿⠉⠛⠛⠀⠘⠀⢠⣧⡾⣿⠇⣺⡟⠋⠀⠻⠟⠁⠋⠛⠟⠋⠉⠀⠀⠀⠀⣛⡛⣿⣿⣀⠻⣿⣿⡄⠈⣿⣿⠚⣴⣶⢠⠠⢰⣶⡄⣿⣿⣿⣿⡂⠀⠀⠀⡀⠀⢰⡶⠀⠀⠀⠀⢄⠤⠄⠀⠀⠀
⠾⣿⠇⠀⠀⠀⠈⣿⣿⠀⠀⠀⠀⠀⠀⠈⠛⣷⣿⡔⣿⣧⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⣫⣽⣶⣿⣿⣧⠀⢻⣿⢐⣿⣿⣻⡄⣸⣿⡇⣿⣿⣿⡏⠀⠀⢈⣭⣭⠀⢨⣭⣧⠀⢸⣛⣛⣷⣷⣀⣀⣠
⠀⠈⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⢨⡅⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠄⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⠂⠸⣿⡾⠿⢿⡿⠉⢿⣿⣿⣾⣿⣿⡇⢀⣦⡿⢟⣻⠀⠈⠉⠉⠀⢈⠙⢙⠿⠟⠿⠟⠁
⠀⠀⠀⢰⣽⣄⠀⠀⠆⠀⣶⣿⣿⣿⠀⣿⠟⠱⣙⡽⣿⣿⡄⠲⡦⢠⣤⣤⡀⠀⢿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠚⢹⣿⣿⣵⡪⣩⣽⣃⣶⣤⣲⣾⡍⠉⠛⢻⠟⠀⢘⡟⠛⠷⠈⠀⠀⠉⠙⢿⣶⣴⣤⣄⣀⣀⣀⣐
⡀⠀⠀⢾⣿⣏⠀⠀⢰⡆⣿⣿⠿⠋⠀⠛⠀⠀⠸⠀⠘⠋⠀⠠⠄⠈⣙⡛⠀⢰⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡇⠀⠉⠸⠉⠁⠙⠛⢿⣶⡶⢶⣦⣄⡀⠚⠓⠶⣦⠤⣀⣀⠈⠉⣀⣈⣉⣙⠙⡛⡛⠛⠿
⠁⠀⠘⠿⢿⣟⠀⠀⠀⠀⠉⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢻⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⠲⠀⠀⠀⠀⠀⠀⠀⠁⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀
⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠛⠻⠟⠘⠟⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡀⠀⠀⣤⣤⣴⣶⣤⡀⠀⠀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⢠⣤⣤⡄⠀⢠⠀⢠⠀⠀⢠⡄⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣾⡏⠉⣿⡏⢹⣿⡆⣾⡏⠉⣿⡇⣾⣿⠉⣿⡇⢸⣿⠉⣿⠇⢸⣿⠀⢸⣷⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⡇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⣀⣀⣀⣀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⣀⣠⣴⣶⣿⣵⣦⣾⣿⣖⣆⣀⡀⠀⠀⠀⠀⣠
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢉⣥⣿⣿⣿⣿⣿⣿⣽⣿⣋⢈⣿⣿⡍⠀⣀⣿⣿⣿⡄⢄⣠⣾⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠎⠛⡟⢙⣻⣿⣿⣿⣷⣾⢿⣿⡿⠻⢳⣿⠻⢿⣿⣿⣿⣿⣿⠿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣇⠀⠐⢺⣿⢿⣿⣿⣿⣟⡿⢿⠗⠀⣽⡇⢰⣿⣿⣿⣿⣿⡧⢸⣿⡛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠁⠀⠀⢰⣿⣟⡛⣿⡟⠏⠀⠀⠀⠘⠇⢅⠀⠉⢿⣿⡿⢻⣆⣴⢶⡿
⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣆⠀⡀⠀⠀⢀⣽⣿⡝⡄⢭⣰⣆⠀⠀⠀⠀⠈⠀⠀⢹⣿⣧⣼⡿⠟⠀⠀
⣿⠇⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢻⣿⣿⣿⣿⣿⣯⣿⣁⡀⠀⣴⣤⢹⣿⣿⣵⣸⣯⠉⠠⡄⠀⠀⠀⠀⠀⠸⡛⠿⠋⠁⠀⠀⠀
⠁⠀⢰⣿⢮⠽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣟⣧⠀⠻⣿⣾⣿⣿⣿⣻⣿⡯⠀⠼⠿⣾⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⣤⣶⣴⠆⠉⠀⠀⠀⠀⠀⢀
⣄⠀⠀⠀⠀⢐⣴⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡘⢿⣿⣿⣧⡀⢺⣿⣯⣿⣭⠀⢀⡀⠀⠀⠀⠸⣉⣋⠛⠿⠏⠀⠀⠀⠀⠀⠛⠛⠃⠷⠤⠀⠄⠀⠀⠘⠋
⠏⠀⠀⠀⢠⣾⠿⠿⣿⣿⣟⠿⣿⣿⡿⢿⣿⣎⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠋⢻⣿⣿⣿⣿⠿⢿⣿⣿⣧⠀⢻⣿⣿⡴⠀⣩⠁⠀⠀⠀⠀⣙⣿⣍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠂⡀⠀⠀⠀⠋⢈⣷⣮⠉⠛⠛⠛⠻⠁⢰⣯⣿⣿⣿⣿⣿⡿⠿⣿⢿⡿⣻⣟⣿⣿⡿⠛⠀⠀⠀⠻⣿⢿⣿⣶⡈⢻⣿⣿⠀⢸⣿⡗⢖⣴⡤⠀⠀⢤⣤⠀⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠜⢿⡆⠀⠀⠀⠘⣿⣿⠀⠀⠀⠀⠀⠀⠘⠛⢿⣿⣯⣿⣧⠀⠀⠲⠯⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠘⠉⠛⢻⣿⣿⣾⣿⣿⡆⠘⣿⡇⣸⣿⡇⣿⠀⣿⢟⠀⣿⣏⣟⠁⠀⠀⠀⣉⡁⠀⢀⣤⡄⠀⢂⠀⠀⢀⡀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⣋⠈⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠉⠻⠿⢿⣿⣿⡷⠀⢹⣇⠛⢿⣿⡟⠈⢿⣿⣷⡾⢿⢿⠃⠀⣀⠬⠛⠃⠀⠀⠙⠁⠀⠈⠉⠀⠘⠛⠹⠟
⠀⠀⠀⢀⣭⡄⠀⠀⠀⠀⣶⣶⣾⡇⠀⣾⡷⠒⠈⡰⣿⣿⠀⠶⣆⠀⣀⣀⡀⠀⢾⣿⡦⠀⠀⠀⠀⠀⠀⠀⠀⠠⠎⣿⣿⣇⠀⠀⠙⠓⠀⡀⠀⢀⡀⠁⠈⠁⠐⠀⠀⠈⠑⠠⠀⠀⠀⠀⠀⠀⠶⡀⢀⠀⠀⠀⡀⠀
⠀⠀⠀⠰⣿⣛⠀⠀⢰⡆⣿⣿⣿⠇⠀⠓⠀⠀⠀⠃⠈⠛⠀⢀⡀⠀⠙⠻⠁⢠⣴⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⠀⠀⠀⠀⠁⠀⠀⠚⢂⣠⣤⣄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠀⠈⠉⠀⠀⠉⠙⠒
⠀⠀⠀⠂⠟⣯⠀⠀⠈⠀⠉⠋⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠚⠃⠀⠀⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠑⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠛⠻⠟⠘⠟⠘⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡀⠀⠀⣤⣤⣴⣶⣤⡀⠀⠀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⢠⣤⣤⡄⠀⢠⠀⢠⠀⠀⢠⡀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣾⡏⠉⣿⡏⢹⣿⡆⣾⡏⠉⣿⡇⣾⣿⠉⣿⡇⢸⣿⠉⣿⠇⢰⣿⠀⢸⣷⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⢄⣀⣤⣴⣶⣿⣶⣦⣶⣾⢖⣤⣤⢀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢋⣵⣽⣿⣿⣿⣿⣿⣿⣿⣟⠻⣿⡿⣻⡏⣥⣿⣿⣿⣿⡶⢀⣴⣾
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠗⠙⣿⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⠟⢿⣾⡿⠿⣿⣿⣿⣿⣿⣿⢿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣷⣐⡍⠶⣿⣿⣿⣿⣿⣿⣿⠿⡿⠃⢰⣿⡇⣰⣿⣿⣿⣿⣿⠇⢿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠉⠙⠀⠀⠀⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⢻⢘⡀⠀⡹⣿⣟⡟⣷⣠⣤
⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠨⠀⠀⠀⣬⣿⣿⣟⡻⣤⣶⡄⠀⠀⠈⠀⠁⠀⠀⣿⣿⣤⣿⣿⠃
⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣔⣀⣠⣬⡍⣿⣿⣿⣋⣿⣟⠓⢦⠀⠀⠀⠀⠀⠀⢛⠻⠟⠉⠀⠁
⠛⠀⣾⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⣿⣿⣾⣿⣿⣿⡏⣿⣿⠖⠡⢿⣷⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⢀⣀⣤⡤⠈⠁⠀⠀⠀⠀
⣄⠀⠙⠉⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⠛⢿⣿⣿⣷⣉⢹⣿⣿⣿⣽⠗⢃⣀⠀⠀⠀⠀⣏⠘⣛⣻⠿⠃⠀⠀⠀⠀⠸⠿⠟⢘⡆⣤⣀⡀⠀⠀
⡯⠀⠀⠄⣴⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣟⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⠛⢻⣿⣿⣿⣷⠼⣿⣿⣻⣿⡟⠿⣿⣿⣭⢇⣉⡉⠀⠀⠀⠀⢘⣻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠁⠀⠀⠀⠙⠛⢺⣯⣟⠛⠻⠿⠿⣿⡟⢻⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠀⠀⠈⢿⣿⣿⣿⣤⣈⠻⣿⣿⠀⠺⣿⣿⢠⣠⣤⠀⠀⢠⣤⡄⢸⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀
⠐⣶⡀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠐⠀⠸⠳⢿⣿⣿⣿⣟⠉⠉⣽⣿⠉⠛⠛⠛⠻⠛⠀⠀⠂⠀⠀⣿⣿⡾⡿⣿⣿⣧⣿⣿⣆⠀⣿⣿⢠⣿⣿⢸⠆⠸⢿⠇⢸⣿⣛⡛⠁⠀⠀⠒⣛⠀⠀⣀⣒⡀⠐⠂⠀⠄⠀⠀
⠀⠈⠀⠀⠀⠀⠀⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⡋⠉⣃⠀⠲⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⠀⢹⣿⣾⢿⣿⣿⠇⢺⣷⣷⣬⣿⣧⡇⠀⠀⠀⡽⠟⠀⠀⠊⠂⠂⠀⠙⠉⠈⠭⠇
⠀⠀⠀⢠⣀⠀⠀⠀⠀⠀⣰⣶⣶⡇⠀⣶⣶⣶⣞⠁⢶⣿⠀⣀⣀⠀⠀⠀⠀⠀⠀⣴⣶⡁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⣻⣿⡁⠀⠀⠛⠷⠀⠀⠁⠀⠀⠉⠙⠸⠂⠸⠁⠀⠁⠁⠤⠀⠀⠀⠀⠀⢢⡄⠀⠀⠀⠀⠀
⠀⠀⠀⠸⣿⣧⠀⠀⢠⡄⢿⣿⣿⠇⠀⣿⠏⠁⠀⠨⠈⠿⠀⠈⠛⠀⠿⣿⡷⠀⢐⣻⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢿⣿⣧⠀⠀⠈⠀⠂⠈⠊⠬⠣⡀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⠄⠈⠉⠛⠀⠉⠻
⠂⠀⠀⠔⣝⣻⡄⠀⠘⠁⠘⠿⠯⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⢠⣤⠀⠀⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠓⠀⠀⠀⠀⠀⠀⠀⠐⠴⠄⠀⠀⠀⠖⠒⠠⠀
⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠙⠻⠟⠘⠟⠘⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡀⠀⠀⣤⣤⣴⣶⣤⡀⠀⠀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⢠⣤⣤⡄⠀⢠⠀⢠⠀⠀⢠⡀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣾⡏⠉⣿⡏⢹⣿⡆⣾⡏⠉⣿⡇⣾⣿⠉⣿⡇⢸⣿⠉⣿⠇⢰⣿⠀⢸⣷⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⡀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣀⢀⣀⣤⣶⣾⣇⣤⣤⣴⣦⣄⣀⡀⠠⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠡⣾⣿⣿⣿⣿⣿⣼⣿⣿⡟⠉⣽⣟⡿⣅⠀⣼⣿⣿⡗⠀⢀⣴
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠙⡟⠛⣿⣿⣿⣿⣿⣿⣾⣿⣿⠟⠻⣿⡿⢿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⠀⠀⠑⠺⣿⣿⣿⣿⣿⣿⡿⢿⡿⠀⢰⣿⠀⣾⣿⣿⣿⣿⣿⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠁⠀⠀⠀⢰⣿⣷⣿⠿⣷⠛⠁⠀⠀⠈⠧⢘⠀⠈⢻⣿⣟⣻⣧⣠
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣓⣹⡿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⢀⣽⣭⡷⣀⢤⣠⣶⠀⠀⠀⠁⠈⠀⠀⢀⣿⣧⣄⣿⡿
⡟⠛⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠻⢿⣿⣿⣿⣿⣿⣟⣿⣁⡀⠀⣠⣬⢹⣿⣇⣃⢸⣟⡙⠢⠀⠀⠀⠀⠀⠀⠈⡛⣿⠏⠉⠀
⠁⠀⣼⣄⠫⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠘⢿⣿⣽⣿⣿⣿⢿⣿⡿⠀⠹⣿⣶⣻⣿⣿⣿⣿⡅⠀⠀⠀⠀⢀⣠⡀⠤⠘⠀⠀⠀⠀
⡀⠀⠉⠁⠀⢀⣞⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡘⠽⢿⣿⣿⣦⠀⣿⣿⣟⣿⡽⠀⠘⠀⠀⠀⠀⠐⠃⢛⣛⣿⣿⠁⠀⠀⠀⠀⠸⠿⠏⠡⠄⠀⢀⠀⠀
⠅⠀⠀⠀⣠⣞⣿⣿⣿⣿⣿⢹⣿⣿⡿⣿⡿⢿⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠻⣿⣿⣿⣿⡀⣼⣿⣟⣻⣧⠛⢿⣽⣯⣥⡄⣉⠃⠀⠀⠀⠀⢛⣿⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠁⠀⠀⠀⠙⠃⢺⣯⡿⠟⠛⢾⣿⣿⠷⢾⣿⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠇⠀⠀⠀⠹⣿⣿⣿⣇⢄⠘⣿⣿⣟⠀⢸⣿⡏⣄⣠⣍⠀⠀⢀⣀⠀⣾⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀
⠰⣦⠀⠀⠀⠀⢿⣿⡇⠀⠀⠀⠀⠉⠁⢸⠄⠿⣿⣿⣿⡍⠁⠈⠁⡀⠋⠈⠈⠋⠉⠋⠁⠀⠀⠀⠀⠰⢾⡧⣽⣿⣿⣷⣈⣿⣿⡀⢸⣿⡇⢸⣿⡏⣶⠀⢼⣿⠀⣿⣟⡟⠋⠀⠀⠀⠒⠒⠀⠐⣂⣂⠀⠰⠄⠀⠀⠀
⠀⠁⠀⠀⠀⠀⠈⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢾⣿⣿⣿⣿⣿⡧⠀⢿⡇⣿⣿⣷⣿⠀⣿⣾⣦⣼⣿⣿⡆⠀⠀⢀⡿⠷⠀⠀⠞⠘⠀⠀⠷⠒⠘⡻
⠀⠀⠀⢰⣂⠀⠀⠀⠀⠀⣤⣤⣴⡆⠀⣶⣶⣶⠤⠝⡄⡎⠀⢀⠀⠀⠀⠀⠀⠀⠀⢠⣤⡒⠀⠀⠀⠀⠀⠀⠀⠀⠉⢛⣻⣿⡏⠁⠀⠸⠿⠦⠀⠉⠁⠀⠈⠉⠙⠲⠀⠘⠀⠀⠟⠡⠀⠀⠀⠀⠐⠒⢤⡀⠀⠀⠀⠀
⠀⠀⠀⣸⣹⡆⠀⠀⢀⡀⣿⣿⣿⡇⠀⠿⠟⠋⠀⠀⡒⠋⠀⠙⠿⠀⢶⣶⣶⠀⠀⢚⡛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⢨⣿⣿⠀⡀⠀⠀⠀⠐⠂⠀⣰⣀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⠀⠉⠶⠗⠀⠒
⠀⠀⠠⠤⠽⣿⡀⠀⠘⠃⠙⠟⠟⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠄⠀⢀⣈⠈⠀⢸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠆⠈⠉⠛⠒⠒⠄⠀⠀⠀⠀⠐⠒⠒⢤⠀⠀⠀⠠⠄⠠⠄
⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠛⠻⠟⠘⠟⠘⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡀⠀⠀⣤⣤⣴⣶⣤⡀⠀⠀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⢠⣤⣤⡄⠀⢠⠀⢠⠀⠀⢠⡀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣾⡏⠉⣿⡏⢹⣿⡆⣾⡏⠉⣿⡇⣾⣿⠉⣿⡇⢸⣿⠉⣿⠇⢰⣿⠀⢸⣷⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣮⣄⣀⣠⣤⣶⣾⣽⣽⣥⣧⣿⣇⣯⣥⡄⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⣹⣿⣿⡏⠃⣤⣿⣿⣿⣿⡎⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠈⢻⡟⢛⣿⣿⣿⣿⣯⣾⣯⣿⡿⠿⣿⣾⠟⢿⣿⣿⣿⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⠀⠘⠷⢾⣿⣿⣿⣿⣿⣻⠿⢿⠟⠀⣼⣿⢀⣾⣿⣿⣿⣿⡟
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠈⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠛⠀⠀⠀⠐⡇⣂⠀⠈⢻⣿⣛⣻⣇
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣻⣿⣿⣿⣿⣿⠀⠘⠁⠀⠀⢨⣿⣿⣿⠟⣦⣴⣆⠀⠀⠀⠁⠘⠀⠀⢸⣿⣧⣈⣿
⡟⢸⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠻⣿⣷⣻⣿⣿⣿⣿⣿⡀⠀⢠⣤⣍⢻⣿⣿⣕⣻⣟⠿⢦⡀⠀⠀⠀⠀⠀⠸⠻⡿⠏⠁
⠁⠈⣿⡾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⢻⣿⣿⣿⣿⣿⡿⡿⡿⠷⠘⢽⣿⣾⢿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣀⣠⡄⠀⠑⠀⠀⠀
⡀⠀⠉⠀⠪⣶⣛⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣕⣸⣿⣿⣿⣿⡈⠙⣿⣿⣿⣿⡏⠈⡋⠀⠀⠀⠀⢸⡁⠛⣻⣿⡟⠁⠀⠀⠀⠀⠻⠿⠇⣤⣀⣀⣀⠀
⡁⠀⢠⣀⣰⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣆⢻⣿⣿⣿⣿⡯⢿⣿⣿⣿⡕⢙⣛⠁⠀⠀⠀⠈⣻⣷⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠁⠀⠀⠐⠛⠁⣺⣿⡿⠿⢿⣾⣿⣿⣯⣿⣿⢉⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠃⠈⠀⠚⣿⣿⣿⣿⣙⠉⢿⣿⣿⡇⠐⣿⣿⠩⣀⣨⡍⠀⠀⣄⣀⠀⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢰⣆⠀⠀⠀⠀⣿⣿⡇⠀⠀⠈⠛⡟⠁⢹⢙⣿⣿⣿⣿⡟⠉⠈⡋⡨⠛⠉⠛⠻⠟⠻⠫⠀⠀⠀⠀⢀⣼⣿⣽⣿⣿⣿⣆⢻⣿⣇⠀⣾⣿⠀⣿⣿⠧⡆⠀⣿⣿⠀⣿⡻⠿⠏⠀⠀⠠⠴⠂⠀⠐⢀⡀⠀⠠⠀⠠⠀
⠀⠃⠀⠀⠀⠀⠈⠛⠉⠀⠀⠀⠀⠀⠀⠘⠀⠁⠈⠿⠿⠇⠀⢀⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠠⣯⣿⣿⣿⣿⣿⣿⡄⠸⣿⣠⣿⣿⣶⡇⢰⣷⣶⣤⣿⣿⣿⠀⠀⠀⠐⡿⠇⠀⠨⠿⠏⠀⠀⠖⠂⠺
⠀⠀⠀⢰⣆⠀⠀⠀⠀⠀⣤⣤⣴⡆⠀⣶⣶⣦⣤⡿⢂⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⠟⢿⣿⠟⠀⠀⠿⠯⠈⠉⠉⠀⠀⠙⠛⠡⠯⠉⠏⠀⠀⠌⠉⠀⠀⠀⠀⠀⠠⣄⠀⠀⠀⠀
⠀⠀⠀⣘⣿⡆⠀⠀⣀⡀⣿⣿⣿⡇⠀⢿⡿⠟⠉⠉⠈⠣⠀⠻⠿⠀⣤⣦⣤⡀⠀⢸⠿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⣸⣿⡆⠄⠀⠀⠀⠀⠀⠄⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣄⠀⠠⡶⡮⠙
⠀⠀⠠⣬⣽⣷⡀⠀⠙⠃⠛⠿⠯⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⢀⠀⠈⠙⠻⠀⢰⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠛⠛⠖⠦⠤⠀⠀⠐⠁⠄⠰⠤⢀⢀⢀⠀⠀⣤⠄⠠
⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠛⠻⠟⠘⠟⠘⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡀⠀⠀⣤⣤⣴⣶⣤⡀⠀⠀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⢠⣤⣤⡄⠀⢠⠀⢠⠀⠀⢠⡀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣾⡏⠉⣿⡏⢹⣿⡆⣾⡏⠉⣿⡇⣾⣿⠉⣿⡇⢸⣿⠉⣿⠇⢰⣿⠀⢸⣷⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⣀⣠⣴⣶⣾⣵⣧⣷⣿⣿⣆⣤⢢⡀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⣽⣟⣟⡻⢉⣽⣿⣿⣿⠮⣡
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠙⣿⠋⢹⣿⣿⣿⣿⣷⣷⣿⣿⡿⠛⣷⡾⠻⣿⣿⣿⣷⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣟⡀⠀⠈⠆⢾⣿⣿⣿⣿⣯⣿⠿⣿⠇⠀⣾⡇⢐⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⣽⣿⢟⠻⣟⡛⠋⠀⠀⠀⠱⡇⠂⠀⠙⢿⣿⣛⢻
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣻⣿⢿⣿⣿⣿⣿⣄⠀⠁⠀⠀⠀⣉⣿⡲⠀⠁⡄⣶⡆⠀⠀⠈⠀⠁⠀⠀⢸⣿⣇⢸
⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡛⢿⣿⣯⣿⣿⣿⣯⢹⣁⠀⠀⢠⣤⡁⣿⣴⡀⢀⣿⡟⠣⠄⠀⠀⠀⠀⠀⠀⠸⠻⠿⠋
⠀⢠⣕⠩⢻⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠘⠿⣿⣿⣿⣿⣿⠇⠸⠟⠋⠨⣿⣷⣿⢿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⣀⠀⠀⠁⠀⠀
⠀⠀⠉⠀⠊⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢻⣿⣿⣿⣦⠠⢿⣿⣿⣻⣿⠀⠀⠇⠀⠀⠀⠀⡟⠘⠛⢿⡿⠋⠀⠀⠀⠀⠀⡿⠿⠃⢀⠀⠀⠀
⠀⠀⠀⠀⣴⢿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣧⡀⣹⣿⣿⢿⣧⠘⢿⣿⣿⣏⠀⠘⠃⠀⠀⠀⠀⠘⢿⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠘⠟⠙⣷⣹⠿⠿⠿⣾⣿⣿⣛⢽⣟⢛⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⢿⠏⠀⠀⠀⠻⣿⣿⣿⡇⠘⠻⣿⣿⣿⠀⢸⣿⣿⠁⢀⣉⠁⠀⢀⣀⠀⢘⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀
⠀⡄⠀⠀⠀⠐⣿⣿⡄⠀⠀⠙⢻⡏⠁⢹⠻⢨⣿⣿⣿⡏⠉⠉⠉⠉⠙⠉⠙⠝⢯⢿⠟⠁⠀⠀⠀⠀⢀⣻⣿⣿⣧⣿⣦⠙⣿⣿⡀⠠⣿⣯⠀⣿⣿⢱⠀⢘⣿⡇⢘⣟⠻⠿⠃⠀⠀⠠⠔⠆⠀⠀⠀⠀⠀⠤⠀⠀
⠀⠁⠀⠀⠀⠀⠙⠛⠃⠀⠀⠀⠀⠀⠀⠸⠀⠀⠈⠿⠿⠄⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⢽⣿⣿⣿⣷⣿⣿⣧⠀⢻⣧⣰⣿⣿⣼⡆⢰⣦⣤⣀⣿⣏⣷⠀⠀⠀⢰⠶⠆⠀⠠⠛⠋⠀⠐⠆⠂
⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⣤⣤⣤⡀⠀⣶⣶⣶⣤⠐⠛⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣯⠛⣿⡟⠋⠀⠈⢿⣤⠀⠉⠉⠀⠈⠛⠟⠍⠉⡉⠁⠀⠠⠎⠀⠀⠀⠀⠀⠀⢄⡀⠀⠀⠀
⠀⠀⠀⠉⠻⡀⠀⠀⢀⠀⣿⣿⣿⡇⠀⣿⣿⣿⠋⠁⠀⠁⠀⠶⣶⡀⢀⣀⣀⡀⠀⠰⣾⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠠⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⠀⠒⡀⠄
⠀⠀⢀⢡⡍⣧⠀⠀⠺⠃⠙⠻⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠫⠿⠃⠀⣬⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠤⠰⠶⠤⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢀⣀
⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠙⠻⠟⠘⠟⠘⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡀⠀⠀⣤⣤⣴⣶⣤⡀⠀⠀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⢠⣤⣤⡄⠀⢠⠀⢠⠀⠀⢠⡀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣾⡏⠉⣿⡏⢹⣿⡆⣾⡏⠉⣿⡇⣾⣿⠉⣿⡇⢸⣿⠉⣿⠇⢰⣿⠀⢸⣷⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣖⡀⠀⣀⣠⣴⡶⣳⣤⣭⣿⣿⣶⣤⣄
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣴⣽⣿⣿⣿⣿⣯⣾⣿⣿⡟⠋⣿⣿⣿⠟⣩⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠉⢻⡏⠉⢻⣿⣿⣷⢿⣿⣷⣿⣿⠟⢿⣾⡿⢿⣿⣿⣷
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⢿⡦⠀⠈⠁⠨⣿⢸⣟⣿⣿⣿⡿⢿⡿⠀⢰⣿⠀⣸⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡄⠀⠀⠀⠀⠀⢠⣾⣔⡔⡿⣿⡄⠁⠀⠀⠀⣬⢘⠀⠈⢻⣿⡟
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⢿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⢀⣨⣼⠀⠀⢀⢴⣶⠀⠀⠀⠀⠈⠀⠀⠀⣿⣯
⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣿⣿⣿⣿⣿⣿⡟⣇⡀⠀⠀⣀⣀⢸⡟⠀⢀⣹⣞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿
⠉⢉⣟⢻⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⢿⣿⣯⣿⣿⣿⢇⠁⠘⠉⠁⢹⣿⣖⡿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⠃⠀⠀⢨⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠙⣿⣿⢟⣿⣧⠀⢻⣿⣿⡛⣿⠏⠀⠠⠀⠀⠀⠈⠘⠓⠻⢿⣿⣟⠀⠀⠀⠀⠀⢸⢿⠷⠀⠀⠀
⠀⠀⠀⢀⣰⣿⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⣿⣿⣿⣿⣆⡈⣻⣿⣿⠿⣇⡘⣻⣟⣛⣛⠀⠀⠓⠀⠀⠀⠀⠀⡶⣤⠍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠘⠟⠩⣾⣻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠀⠙⢿⣿⣿⣿⡖⠛⣿⣿⣿⣿⡇⠀⣿⣿⠋⠀⠀⠉⠀⠀⠀⠀⠀⣴⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢠⣿⣿⡀⠀⠘⣿⣿⡧⠤⣿⣦⠈⣻⣿⡏⠉⠙⠛⠙⠛⠛⠻⠸⠿⡿⠿⠿⠟⠀⠀⠀⠀⠀⠈⢿⡿⣿⡄⡀⠙⢿⣿⣿⡄⠀⣿⣿⠈⣸⣿⡇⡄⠀⣾⡿⠀⡻⠛⠯⠝⠀⠀⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠹⠟⠃⠀⠀⠀⠹⠂⠀⣾⠉⠀⠈⠻⣿⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠓⠿⠿⡗⣦⣼⣿⣿⣷⡀⢹⣿⢀⣶⣾⣄⡆⠀⣥⣭⡀⢸⣇⡠⠀⠀⠀⠀⢶⡶⠀⠀⠈⣙⠀⠀⠀
⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⣡⣤⣤⣤⡀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⣿⠺⢿⣿⠟⠛⠀⠀⣿⣄⠉⠋⠛⠁⠀⠙⠻⠏⠉⠉⠙⠀⠀⣀⠀⠁⠀⠀⠀⠀⠀⡀⠀⠀
⠀⠀⠀⡌⠁⠀⠀⠀⠀⠀⣿⣿⣷⠀⢸⣿⣿⣿⣟⠋⠙⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⣤⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⣿⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠈⠁⠀
⠀⠀⠀⠄⠒⢁⠀⠀⠸⠇⠘⣿⠛⠀⠘⠋⠉⠉⠀⠀⠀⠀⠀⠁⠉⠀⠰⠢⣴⡆⠀⠀⣹⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡇⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⢀⢠⣀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀
⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠙⠻⠟⠘⠟⠘⠛⠚⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡀⠀⠀⣤⣤⣴⣶⣤⡀⠀⠀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⢠⣤⣤⡄⠀⢠⠀⢠⠀⠀⢠⡀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣾⡏⠉⣿⡏⢹⣿⡆⣾⡏⠉⣿⡇⣾⣿⠉⣿⡇⢸⣿⠉⣿⠇⢰⣿⠀⢸⣷⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⠀⠀⣀⣠⣴⣶⣫⣤⣭⣿⣿⣷⣤⣴
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⣴⣽⣿⣿⣿⣿⣿⣮⣾⣿⡟⠋⣿⣿⣿⡿⣩⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠉⢻⡏⠙⣻⣿⣿⣿⣿⣿⣷⣿⣿⠟⡻⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⠇⠀⠈⠃⠈⣧⣾⣿⣿⣿⣿⡿⢿⡿⠀⢰⣿⠀⣰⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⢠⣷⡍⣻⢙⢿⡊⠁⠀⠀⠀⢬⠘⠀⠈⠻⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⢿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⢀⣨⣎⠀⠀⣀⢰⣶⠀⠀⠀⠀⠀⠀⠀⠀⣻⣯
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⡿⣻⣿⣿⣿⣿⣿⣿⡙⣇⡀⠀⢀⣀⣈⢸⡯⠂⡀⢹⣞⠛⠄⠀⠀⠀⠀⠀⠀⠀⠻⢿
⠈⢑⡻⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⢿⣿⣯⣿⣿⣿⠿⠉⠛⠓⠈⢹⣿⣖⣻⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀
⠀⠈⠁⠀⠀⢨⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠙⣿⣿⣟⣿⣧⠀⢻⣿⣿⡟⣿⡃⠀⠀⠀⠀⠀⠉⠉⠗⠿⠿⣿⡟⠁⠀⠀⠀⠀⢸⢿⠷⠀⠀⠀
⠀⠀⠀⢀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣆⠉⣿⣾⣿⠿⣧⡘⣻⣟⣛⣛⠀⠀⠓⠀⠀⠀⠀⠀⠶⣦⠍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠐⠛⠙⣾⣻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠙⣿⣿⣿⣿⡞⠛⣿⣿⣿⣿⠆⠀⣿⣿⠋⠀⠈⡉⠀⠀⠀⠀⠀⣰⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢠⣿⣿⡀⠀⠘⣻⣿⡯⠤⣿⣦⠈⢹⣿⡏⠉⠙⠛⠛⠛⠟⠻⠹⠻⠿⠿⠿⠗⠀⠀⠀⠀⠀⠘⢿⣿⣿⡄⡀⠈⢿⣿⣿⡄⠀⣿⣿⠀⣼⣿⡇⡄⠀⣻⡿⠀⠟⠛⠿⠋⠀⠀⠀⠀⠤⠀⠀⠀⠄⠀⢀⠀
⠀⠂⠀⠀⠀⠀⠻⠿⠃⠀⠀⠀⠰⠀⠀⣾⠉⠀⠈⢹⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠻⢿⡇⣦⣼⣿⣿⣷⡀⢸⣿⠀⣿⣾⣄⡆⠀⣭⣭⡀⢹⣇⡰⠀⠀⠀⠀⢰⡴⠀⠀⠄⠛⠀⠀⠀
⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⣡⣤⣤⣤⣀⢴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⣿⠺⢿⣿⠟⠛⠁⠀⣿⣌⠉⠛⠛⠁⠀⠙⠻⠏⠉⠉⠙⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⡀⠀⠀
⠀⠀⠀⠌⠛⠀⠀⠀⠀⠀⣿⣿⣿⠀⢸⣿⣿⣿⡿⠃⠊⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⣤⣾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⣿⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠈⠀⠀
⠀⠀⢀⣄⡐⢀⠀⠀⠸⠇⠙⣟⠋⠀⠘⠋⠉⠉⠁⠀⠀⠀⠀⠉⠉⠀⠰⠦⣶⡆⠀⠀⠻⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠤⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀
⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠙⠻⠟⠘⠟⠘⠛⠚⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡀⠀⠀⣤⣤⣴⣶⣤⡀⠀⠀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⢠⣤⣤⡄⠀⢠⠀⢠⠀⠀⢠⡄⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣾⡏⠉⣿⡏⢹⣿⡆⣾⡏⠉⣿⡇⣾⣿⠉⣿⡇⢸⣿⠉⣿⠇⢰⣿⠀⢸⣷⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣄⠄⠀⢀⣀⣤⣶⢞⣠⣄⣀⣤⣤⣄
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢠⣭⣿⣿⣿⣿⣿⣥⡴⣿⡿⠋⠹⡿⢿⠛⠉⣬⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⢹⡿⠛⠙⣿⣿⣤⡾⢬⢩⡰⣾⡿⠛⢲⣿⠿⢿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⠿⢿⡗⠀⠀⠃⠀⣿⡰⢻⡝⣊⢨⢰⠸⣿⠇⠀⣾⡇⢀⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡀⠀⠀⠀⠀⠀⠀⣨⡇⠘⠐⡑⡤⠉⠀⠀⠀⠠⡅⠁⠀⠹⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣾⠺⣿⡿⣿⣿⣿⣿⣥⠀⠀⠀⠀⠀⠀⣁⣇⠀⠀⢄⢤⣶⡄⠀⠀⠀⠀⠀⠀⠀⢸
⣗⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⣯⠿⢿⣷⢿⣿⣿⣯⡟⡧⣀⠀⠀⣀⣀⠉⣭⡀⠀⢈⣷⠟⠃⠀⠀⠀⠀⠀⠀⠀⠸
⠤⢈⣽⡿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣇⠀⢻⣿⣟⣻⣿⣿⡿⠀⠉⠛⠁⠘⡿⣧⡿⣶⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠹⠟⠁⠊⠀⢿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢻⣿⡿⢟⣿⣦⠈⠛⣿⣿⡟⢻⠋⠀⠀⠀⠀⠀⠉⠉⠛⠾⡿⣿⡿⠁⠀⠀⠀⠀⠀⢰⣾⡆⠀
⠀⠀⠀⢀⣠⣌⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠪⣻⣷⣼⣿⣿⠧⠀⢿⣿⢿⡟⠀⠀⠒⠂⠀⠀⠀⠀⠰⢆⡄⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠠⡿⠚⣁⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣻⠁⠐⠉⢻⣿⣿⣿⡆⢾⣿⣿⣿⣿⣾⡇⠈⣽⣿⡋⠀⠀⠒⠂⠀⠀⠀⠀⠠⡾⢥⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣿⣿⡄⠈⢿⣿⣿⠛⠻⣿⠛⠛⠛⣿⠏⠟⠋⠉⠫⠟⠻⠿⠹⣿⢿⠿⡿⡟⠅⠀⠀⠀⠀⠀⢻⣿⣿⡇⠀⠈⢿⣿⣿⣿⡇⠀⢸⣿⡃⢠⣾⡟⠀⠀⢰⣶⠂⠐⠳⢟⠛⠀⠀⠀⠀⢀⡀⠀⠀⢀⠀⠀
⠀⠀⠀⠀⠀⠀⠻⣿⡇⠀⠸⢻⡟⠂⠘⡿⡇⠀⠀⠻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠶⠶⢜⣿⣠⡆⢀⣿⣿⣿⣿⠀⠸⣿⡅⣨⣭⣅⣠⠀⣈⣉⡀⠐⣂⣀⡀⠀⠀⠀⠠⣤⡄⠀⢐⡒⠂⠀
⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠇⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⣼⠿⣿⣿⣿⠿⠛⠃⠀⢻⡇⠉⠛⠛⠏⠀⠙⠻⢟⡒⠛⠛⠆⠀⠀⠄⠐⠉⠁⠀⠈⠉⠁⠀
⠀⠀⠀⠄⠻⠀⠀⠀⠀⠀⢸⣶⠀⠀⣰⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⠀⢻⡅⠀⠀⠀⠀⠈⠉⠃⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠙
⠀⠀⠀⣖⡀⠤⠀⠀⠰⣷⠘⣿⠁⠀⠛⡿⠛⠋⠛⠁⠀⠀⠈⠺⠶⠀⡠⣄⠀⡀⠀⠀⢺⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠂⠀
⠀⠀⠀⠉⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠙⠻⠟⠘⠟⠘⠛⠚⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡄⠀⠀⣤⣤⣴⣶⣤⡀⠀⠀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⢠⣤⣤⡄⠀⢠⠀⢠⠀⠀⢠⡀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣾⡏⠉⣿⡏⢹⣿⡆⣾⡏⠉⣿⡇⣾⣯⠉⣿⡇⢸⣿⠉⣿⠇⢰⣿⠀⢸⣷⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣓⣤⡀⠀⠀⠀⣀⣤⣤⢆⣀⣤⣤⡔⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⣼⣽⣿⣿⣥⡿⣩⣤⢾⣿⡿⠋⠷⠿⠛⠋⠁⣬⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠉⣿⡟⠋⢹⠶⣾⡶⠿⠟⠀⢂⣼⠟⠒⢦⡮⠿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⢷⠀⠀⠈⠁⠀⣞⣚⢷⠈⠰⡀⠀⢲⣾⠀⢀⡿⠇⢰⣾
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⣿⣿⡿⣿⣿⣿⣿⣿⣥⠀⠀⠀⠀⠀⠀⠀⢥⠀⠀⠀⠀⠐⠀⠀⠀⠀⢨⠀⠀⠈⠻
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⠁⢻⣏⢿⣿⣿⣿⣭⡄⠀⠀⠀⠀⠀⠀⣈⡆⠀⠀⠀⢠⣦⠀⠀⠀⠀⠀⠂⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣔⠚⠻⣿⣆⣿⣿⣿⣯⡻⠄⠀⠀⠀⠀⡈⠉⡇⠀⠀⠠⠴⠟⠄⠀⠀⠀⠀⠀⠀⠀
⢋⡳⣿⢿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⡀⠘⢿⣿⣟⣿⣿⣿⡇⠀⠁⠂⠈⠛⠿⣤⡳⣶⣾⣾⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠹⠋⠉⠈⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢹⣿⡋⣿⣻⣷⡄⠈⢻⣿⣿⠛⡟⠀⠀⠀⠀⠀⠀⠁⠈⠧⢿⣿⣿⠏⠀⠀⠀⠀⠀⠀⢰⣿⠆
⠀⠀⠀⠀⠀⡠⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠈⢻⣇⠡⣾⣿⣿⡄⠨⣿⡿⠷⠆⠀⠀⠖⠀⠀⠀⠀⠀⢢⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣟⠩⠃⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⡻⢿⠉⠉⠚⠻⣿⣿⣿⡇⢴⣿⣷⣿⣷⣶⣾⠀⠈⣿⣿⠃⠀⠀⠒⠀⠀⠀⠀⠀⢠⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣰⣿⡆⠹⣿⣿⡿⠿⢿⢿⣿⡿⠫⠞⠋⠉⠟⠛⠻⠛⠿⣧⠺⠾⢿⡿⣿⣿⠍⠁⠀⠀⠀⠀⠸⣿⣿⣿⠀⠈⢛⣿⣿⣿⣿⠀⠀⣿⣿⠀⢰⣶⡆⡀⠀⢰⡶⠀⠚⠲⠟⠳⠀⠀⠀⠀⢀⠀⠀⠀⢀⠀
⠀⠀⠀⠀⠀⠀⠻⣿⠗⠀⠹⢿⡧⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠈⠉⠀⠀⠀⠀⠀⠀⠀⠠⠬⣉⢻⠄⡄⠈⢿⣿⣿⣿⡇⠀⢻⣿⠀⣭⣿⡀⡁⠀⢈⡁⠀⢀⣀⢠⠀⠀⠀⠀⠀⣠⠀⠀⢀⠐⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⢸⠈⠁⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⢤⠹⣾⣿⣿⣿⡿⠟⠀⠈⣿⠀⠛⠛⠻⠃⠀⠛⢿⠓⠚⠛⠓⠆⠀⠀⠀⠈⠉⠀⠀⠉⠈⠀
⠀⠀⠀⠐⠁⡆⠀⠀⠀⠀⢠⣄⠀⠀⢸⣼⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢂⠉⢹⡏⠀⠀⠀⠀⠀⠙⠛⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠨⠠⠠⠀⠀⠀⣶⠀⠛⠀⠀⣿⣿⠟⠋⠛⠋⠀⠀⠀⣤⡄⠀⠀⡀⡀⡀⠀⠀⣰⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠙⠻⠟⠘⠟⠘⠛⠚⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡀⠀⠀⣤⣤⣴⣶⣤⡀⠀⠀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⢠⣤⣤⡄⠀⢠⠀⢠⠀⠀⢠⡀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣾⡏⠉⣿⡏⢹⣿⡆⣾⡏⠉⣿⡇⣾⣿⠉⣿⡇⢸⣿⠉⣿⠇⢰⣿⠀⢸⣷⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣄⠀⠀⠀⢀⣀⣤⡤⠀⠀⣀⣀⣠
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⢬⣿⣿⣿⣮⢇⣉⣠⣾⣿⠟⠋⠶⠟⠛⠉⠉⣰
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠙⣿⠛⠙⣻⢟⠳⣧⠼⠑⠀⠀⣾⠟⠒⣤⠿⢿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⡄⠀⠀⠙⠀⢰⣯⠑⠈⠁⠀⠀⠄⢾⡿⠀⢠⡿⠀⢰
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣿⡿⢿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⢀⠀⠁⠀⠀⠀⢨⠁⠀⠈
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣾⡇⠲⢹⡹⣿⣿⣿⣏⣥⡀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀
⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⡀⠾⢿⣷⣸⣿⣿⣿⣍⠃⠀⠀⠀⠀⠀⠈⢩⡀⠀⠀⠁⡴⠫⠀⠀⠀⠀⠀⠀⠀
⠩⣛⣿⡿⢿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡇⠀⠸⣿⣾⢻⡿⣿⣿⠀⠀⠉⠀⠘⡙⢇⣘⢳⣶⣶⣃⡕⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠙⡿⠃⠈⠁⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢙⣿⡿⢋⡟⣽⣆⠀⠘⣿⡿⡷⢽⡃⠀⠀⠀⠀⠀⠈⠀⠹⠹⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⢴⣷
⠀⠀⠀⠀⠀⡠⠁⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⢻⣇⣀⢠⣿⣿⣧⠀⢸⣿⠷⠶⠂⠀⠐⠆⠀⠀⠀⠀⠀⣤⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠁
⠀⠀⠀⠀⣹⠧⠟⠠⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⠏⠛⠁⢛⣿⣿⣿⣇⢠⣿⣧⢾⣿⣶⣶⡆⠀⢙⣿⡟⠀⠀⠰⠄⠀⠀⠀⠀⠀⣠⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢠⣷⣏⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠞⠛⠟⠛⠀⠿⠿⢿⡏⠀⣿⣿⣿⣿⣿⠌⠉⠀⠀⠀⠀⠸⣿⣿⣿⠀⠈⠻⢸⣿⣿⣿⡇⠀⢘⣿⡇⠀⣴⣶⠀⠀⠀⣤⡄⠀⠶⠦⠞⠆⠀⠀⠀⠀⢀⠀⠀⠐⠀
⠀⠀⠀⠀⠀⠀⠹⣿⡟⠈⣼⣽⡁⠁⢹⣯⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⢀⢈⡉⢿⡀⠀⠈⢻⣿⣿⣿⣿⡀⠘⣿⡇⢀⣛⡋⠈⠀⠀⠙⠀⠀⢀⠀⠀⠀⠀⠀⠀⢁⡀⠀⠀⠠⠤
⠀⠀⠀⠀⢀⠀⠀⠁⠀⠀⠀⡉⠁⠀⢹⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⢀⢃⡰⣴⣾⡿⢿⠿⠿⠇⠀⢻⡇⠈⠟⠿⠾⠃⠘⠿⠿⠢⠽⠿⠾⠀⠀⠀⠀⠘⠋⠀⠀⠈⠀
⠀⠀⠀⠠⠙⡆⠀⠀⠀⠀⠀⠀⠀⠀⢸⣶⣶⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢇⠛⢹⡇⠀⠀⠀⠀⠀⠈⠛⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠈⠀
⠀⠀⠀⢠⠂⠀⡀⠀⠀⣠⠀⠂⠀⢠⣿⡿⣿⠟⠿⠃⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠙⠻⠟⠘⠟⠘⠛⠚⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡀⠀⠀⣤⣤⣴⣶⣤⡀⠀⠀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⢠⣤⣤⡄⠀⢠⠀⢠⠀⠀⢠⡀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣾⡏⠉⣿⡏⢹⣿⡆⣾⡏⠉⣿⡇⣾⣿⠉⣿⡇⢸⣿⠉⣿⠇⢰⣿⠀⢸⣷⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣷⣤⣄⡀⠀⠀⢀⣠⣤⡴⢀⣤⣄⣦
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠩⣽⣽⣥⣾⣽⢋⢤⣤⣿⣿⠟⢳⣼⡿⠓⠈⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠈⢻⣿⠛⠛⠳⣙⣑⠂⠭⠇⠀⣲⡿⠟⠢⣶⢼
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠏⠀⠀⠀⠃⠀⢴⠊⠊⡄⠀⠀⠀⠑⣶⡇⠀⣰⣿⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⣯⣟⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠠⠀⠀⠀⠀⠀⡉⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣷⡂⠎⣽⢿⣿⣿⣿⣏⣦⠀⠀⠀⠀⠀⠀⠁⣃⠀⠀⠀⠀⣤⡄⠀⠀⠀⠀⠐⠀
⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⡅⠈⠜⣿⣧⢻⣿⣿⣮⡛⠄⠀⠀⠀⠀⠀⠉⠋⠀⠀⠀⠂⠿⠃⠀⠀⠀⠀⠀⠀
⠻⠋⡭⠿⡿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⠀⠀⢿⣿⡟⣿⢿⣿⡟⠀⠀⠁⠀⠙⠻⣇⡜⣶⣴⣦⣀⡂⠀⠀⠀⠀⠀⠀⠀
⠀⢘⠾⠚⡈⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡛⣿⡿⣟⢽⣛⣶⡀⠈⢻⣿⣿⢯⢿⠁⠀⠀⠀⠀⠀⠁⠈⠻⢾⣿⣿⠟⠃⠀⠀⠀⠀⠀⠀⣴
⠀⠀⠀⠀⠀⢁⠈⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⢻⣇⠄⠀⣼⣿⣷⡄⠈⣿⡿⡶⡮⠀⠀⠤⠀⠀⠀⠀⠀⢠⡄⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠈
⡀⠀⠀⠀⢐⡛⠶⢡⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠻⠟⠛⣿⣿⣿⣧⠀⣻⣷⠦⣿⣿⣦⣴⠀⠘⢷⣾⠇⠀⠀⠄⠀⠀⠀⠀⠀⠀⡄⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠁⠀⠀⠀⠈⠁⠀⣾⡾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠈⠻⠫⠍⠛⠘⠿⠿⣿⡏⢠⣼⣿⢿⣿⣿⠋⠊⠂⠀⠀⠀⠸⣿⣿⣿⠈⠐⢿⠄⢾⣿⣿⣿⠀⠀⢿⣿⠀⠠⣤⡆⠀⠀⠀⣤⡄⠠⠴⡶⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠘⣿⡧⠘⣟⡛⠛⠛⣿⡛⠋⠁⠀⠀⠀⠀⠀⠀⢀⠀⠈⠃⠂⠉⠉⠀⠊⠋⠀⠀⠀⠀⠀⠀⢀⣽⡙⢿⡀⠀⠈⠢⣾⣿⣿⣿⣇⠀⢻⣿⠀⢘⣛⠃⠀⠀⠘⠋⠀⠀⠀⠀⠈⠀⠀⠀⢀⢈⡁⠀⠀⠤
⠀⠀⠀⠀⢀⠀⠀⠉⠀⠈⠈⠗⠀⠀⠿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠑⠋⣀⣤⣶⣽⢿⣿⣿⣿⠀⠘⣿⠀⠛⠻⣷⡾⠀⠺⢿⡷⠤⡿⠶⣌⠀⠀⠀⠀⠛⠁⠀⠐⠂
⠀⠀⠀⠀⠌⡇⠀⠀⠀⠀⠈⠀⠀⠀⣧⣶⣶⣶⣾⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠸⢿⠟⢻⡇⠀⠀⠀⠀⠀⠀⠘⠷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⠅⠈⠀⠀⠀⠀⡀⠀⠀⢀⣿⣿⣿⡿⠿⠁⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣴⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠈⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠙⠻⠟⠘⠟⠘⠛⠚⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡀⠀⠀⣤⣤⣴⣶⣤⡀⠀⠀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⢠⣤⣤⡄⠀⢠⠀⢠⠀⠀⢠⡀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣾⡏⠉⣿⡏⢹⣿⡆⣾⡏⠉⣿⡇⣾⣿⠉⣿⡇⢸⣿⠉⣿⠇⢰⣿⠀⢸⣷⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⡤⡀⠀⠀⠀⠀⣀⣠⣤⠀⡠⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢩⣽⣿⣧⣶⣾⡟⢃⣠⣴⣿⡿⠛⠴⡿⠿⠛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⢻⣿⠟⠛⡟⠒⠒⠋⠉⠉⢁⠐⣴⠷⠓⢠
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠛⠀⢰⡆⠳⢘⠀⠀⠀⠈⢽⣿⠀⢀⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣷⢽⢻⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠈⡅⠀⠀⠀⢀⡀⠁⠀⠀⠀⢈⠁
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⣷⠨⠤⣏⢿⣿⣿⣿⣙⣤⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⡀⣠⡄⠀⠀⠀⠈⠀
⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⡋⠀⠰⣿⣆⢻⣿⣿⣯⡛⠀⠀⠀⠀⠀⠀⠈⠛⠀⠀⠀⠀⣼⠟⠀⠀⠀⠀⠀
⢷⠈⣻⣽⡿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⠀⠀⣿⣿⡾⢿⢿⣿⡿⠀⠀⠁⠀⠙⠒⣆⡘⢠⣶⣞⢀⡄⠀⠀⠀⠀⠀⠀
⠀⠈⢺⡥⠀⢛⠨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⡟⡙⠟⣤⡀⠈⢹⣷⠿⠼⠻⠁⠀⠀⠀⠀⠀⠀⠀⢻⢸⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀
⡀⠀⠀⠀⠀⠀⢐⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢻⣏⠙⠁⠀⣰⣿⣷⡀⠈⣿⣾⣦⣬⠀⠀⢠⡀⠀⠀⠀⠀⠀⣀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀
⣧⠀⠀⠀⠀⠰⢢⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠻⣿⣿⣿⣧⠀⢻⣧⡴⠀⣿⣿⣭⣥⡀⠘⢷⣴⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠟⠀⠀⠀⠀⠛⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⡟⠈⠽⠋⠋⠛⠀⠹⡿⢿⣿⠉⠉⣹⣿⣿⣿⣿⠁⠁⠀⠀⠀⠀⢸⣿⣿⣿⠐⠀⢽⠀⠀⢸⣿⣿⣿⠀⠀⢸⣿⠀⠀⣀⣤⠀⠀⠀⣀⡀⠀⣧⣤⣤⠄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡰⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠀⠉⠽⠉⠉⠋⠉⠀⠀⠀⠀⠀⠀⠈⠻⠿⣿⡀⠀⠀⢠⡀⣺⣿⣿⣿⡆⠀⢼⣿⠀⠠⠿⠏⠀⠀⠀⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠁⢉⠩⡉⠉⠁⣿⡏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠲⠼⢿⠀⢀⣈⣁⠻⣿⣿⣿⣿⠀⠀⣿⠀⠸⢿⣧⣴⠀⢰⣶⣦⣀⣵⣦⣀⠀⠀⠀⠀⠰⠃⠀⠀
⠀⠀⠀⠀⢀⢢⠀⠀⠀⠘⠋⠀⠀⣛⣷⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡟⠀⠀⠀⠁⠉⠀⠀⠸⣦⡀⠀⠉⠁⠀⠀⠉⠁⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⠈⠆⠀⠀⠈⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠉⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠉⠻⠟⠘⠟⠘⠛⠚⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡀⠀⠀⣤⣤⣴⣶⣤⡀⠀⠀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⢠⣤⣤⡄⠀⢠⠀⢠⠀⠀⢠⡀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣾⡏⠉⣿⡏⢹⣿⡆⣾⡏⠉⣿⡇⣾⣿⠉⣿⡇⢸⣿⠉⣿⠇⢰⣿⠀⢸⣷⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⡀⠀⠀⠀⠀⣀⣄⡤⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⣭⣿⣯⣽⣿⡹⡛⠂⣠⣶⣿⠿⠫⣴⢿⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠑⣿⣿⠛⢻⣶⠗⠉⠩⠽⠉⠀⣠⡶⠶⢄
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀⠀⠈⠃⠀⡰⢻⠂⠀⠀⠀⠀⢐⣼⡇⠀⢠
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⡟⣿⣟⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠘
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣹⡐⠋⢸⢻⣿⣿⣿⣿⣡⡄⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⢠⠀⣤⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣋⠃⠢⣾⣷⠘⣿⣿⣿⣙⠃⠀⠀⠀⠀⠀⠀⠐⠃⠀⠀⢈⢀⡽⠇⠀⠀⠀⠀
⣿⢯⢛⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⢰⣿⣷⠿⣷⣿⣿⡇⠀⠀⠀⠀⠒⢶⢄⠐⣤⣶⡂⢀⠄⠀⠀⠀⠀⠀
⠀⠐⢶⡾⠘⡸⠗⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⠟⠿⢇⡄⠀⠙⣿⡶⣇⡚⠏⠀⠀⠀⠀⠀⠀⠀⠙⢗⣿⣿⣿⠿⠀⠀⠀⠀⠀⠀
⢀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⢻⣿⠉⠋⠀⠀⣾⣿⣆⠀⢰⣿⣦⣄⡀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀
⣷⠀⠀⠀⠀⢠⢜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⠯⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⠿⢿⣿⣿⣿⣆⠀⢻⣆⣄⡄⠰⣟⣫⣋⡀⠀⠻⣤⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠀⠀⠀⠀⠘⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⠛⠻⠻⡥⠈⣿⣿⣿⣿⠛⠙⣿⣿⣿⣿⡿⠛⠟⠀⠀⠀⠀⢻⣿⣿⣿⠀⠛⢿⠃⠀⠀⣿⣿⣿⡇⠀⠀⣿⡇⠀⢀⣀⡀⠀⠀⠀⣀⠀⢀⣁⣠⣀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡽⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠁⠀⠉⠟⠀⠚⡝⠚⠉⠋⠿⠀⠀⠀⠀⠀⠀⠀⠻⠿⣿⡀⠀⠀⠄⣀⢀⣿⣿⣿⣧⠀⠀⣿⡇⠀⠸⠟⠃⠀⠀⠰⠏⠀⠀⠈⠈⠀⠀⠀⠀⠀⠀⠂⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠹⠟⠿⠻⢻⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⣸⣿⠦⠀⢀⡛⠈⢿⣿⣿⣿⡇⠀⢹⡇⠀⣶⣷⣤⡆⠀⢠⣤⣄⣐⣦⣀⡀⠀⠀⠀⠀⡤⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠉⡤⠀⠀⢨⣿⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⣸⣿⣿⠀⠀⠁⠉⠉⠁⠀⠈⢷⣄⠀⠀⠈⠀⠀⠈⠉⠁⠈⠉⢉⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠐⠀⠀⠀⠀⠄⠀⠀⢸⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠹⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠙⠻⠟⠘⠗⠘⠛⠚⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡀⠀⠀⣤⣤⣴⣶⣤⡀⠀⠀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⢠⣤⣤⡄⠀⢠⠀⢠⠀⠀⢠⡀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣾⡏⠉⣿⡏⢹⣿⡆⣾⡏⠉⣿⡇⣾⣿⠉⣿⡇⢸⣿⠉⣿⠇⢰⣿⠀⢸⣷⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣿⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⠀⠀⠀⠀⠀⠀⣀⣠⠄⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠩⢿⣿⣫⣴⡽⡛⠑⠀⡴⣶⣿⠟⣁⣴⣾
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢺⣷⠿⠿⠞⡘⠊⠙⠛⠛⠀⢀⣤⡶⠶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠈⠻⠀⠠⠁⢀⠀⠀⠀⠀⠀⢈⣾⡀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⠼⣻⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⢀⠀⠀⠀⠀⠉⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡒⣇⠁⠲⡽⣿⣿⣿⣿⣿⡤⠀⠀⠀⠀⠀⠀⠒⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀
⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡑⠀⢰⣷⡄⢿⣿⣿⣍⠛⠀⠀⠀⠀⠀⠀⠀⠲⠀⠀⠀⡄⢸⡿⠀⠀⠀⠀
⡯⠫⣚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣧⠈⠈⣾⣿⣾⣿⣿⣿⣷⠀⠀⠀⠀⠰⠰⣦⠀⠀⣀⣀⠃⠈⠀⠀⠀⠀⠀
⠁⠀⢀⣮⠀⠽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣽⠗⠽⠟⣄⠀⠙⢿⣷⣜⣙⢿⠁⠀⠀⠀⠀⠀⠀⠀⢾⣶⣿⣿⣷⡆⠀⠀⠀⠀⠀
⠀⠀⠀⠉⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢺⣿⠏⠉⠁⠀⢰⣿⣦⠀⠀⣿⣶⣤⣈⠀⠀⢀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀
⣿⠀⠀⠀⠀⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⡿⣟⣟⣫⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⠿⣿⣿⣿⣿⡄⠈⠹⡆⢀⣀⡀⣿⣟⣟⣁⠀⠹⢯⣭⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡿⠀⠀⠀⠀⠐⢹⣿⣿⣿⣿⣿⣿⣿⣿⡇⠸⠻⠟⠿⠗⠀⠙⣿⢿⣿⡿⠛⠳⣼⣿⣿⣿⡟⠛⠛⠀⠀⠀⠀⢿⣿⣿⣧⠀⠋⠹⠛⠁⠀⢸⣿⣿⣿⠀⠀⢸⣿⠀⠀⢀⢀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠸⢻⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠁⠐⠈⠙⠛⠟⢛⠱⠀⠀⠀⠀⠀⠀⠘⣿⡿⣿⡀⠀⠀⠀⢀⠀⢸⣿⣿⣿⡄⠀⣸⣿⠀⢀⠿⠟⠀⠀⠀⠎⠁⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⠿⢿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⢻⣿⠶⠀⠀⠸⠃⢻⣿⣿⣿⣧⠀⠀⣿⠀⢰⣶⣆⣠⠀⢀⢠⣀⠀⢀⣤⣀⠀⠀⠀⠀⢰⡆⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⡀⠈⠈⣿⣇⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⠂⠀⠈⠉⠉⠉⠀⠀⢻⣄⠀⠀⠐⠀⠀⠘⠙⠋⠈⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⣹⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠉⠻⠟⠘⠗⠘⠛⠚⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡀⠀⠀⣤⣤⣴⣶⣤⡀⠀⠀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⢠⣤⣤⡄⠀⢠⠀⢠⠀⠀⢠⡀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣾⡏⠉⣿⡏⢹⣿⡆⣾⡏⠉⣿⡇⣾⣯⠉⣿⡇⢸⣿⠉⣿⠇⢰⣿⠀⢸⣷⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣷⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⢙⣿⣏⣡⣴⣟⠋⠀⢀⣴⣾⡿⠛⣤⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠘⣿⣿⠟⠟⠅⠀⠀⠋⠛⠁⠀⣀⣠⠴
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠁⠀⠀⠹⠇⠀⠀⠀⠡⠀⠀⠀⠈⠠⢼⣇⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⡷⢙⠿⠿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡎⢂⠔⠀⢙⢸⣿⣿⣿⡇⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠏⠄⡀⣼⣄⠸⣿⣿⣯⡙⠀⠀⠀⠀⠀⠀⠀⠐⠆⠀⠀⢸⠀⣻⠇⠀⠀⠀
⣿⢛⣹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⢰⣿⣦⣿⣿⣿⣿⡆⠀⠀⠀⠀⠄⢤⡄⠀⢀⣀⡐⠀⠁⠀⠀⠀⠀
⠋⠀⢠⣼⡁⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⢿⣿⣿⣿⣿⠻⡿⠃⠀⠈⠻⣷⣤⠏⠿⡛⠀⠀⠀⠀⠀⠀⠀⠘⡷⣾⣿⣷⡆⠀⠀⠀⠀⠀
⠀⠀⠀⠉⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢸⣿⡿⠛⠁⠀⢐⣾⣷⠀⠀⢸⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠙⠉⠀⠀⠀⠀⠀⠀
⣿⡆⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⢿⣻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣷⡀⠈⠻⣇⠀⡀⡀⢸⣿⣛⡓⠀⠘⢿⣉⡍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀
⣿⠇⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠝⠟⠻⠻⠁⠙⢻⣿⣿⡿⠿⠛⡱⣿⣿⣿⣿⠛⠻⡟⠀⠀⠀⠈⢿⣿⣿⡇⠀⠎⠹⠾⠁⠀⠀⣿⣿⣿⡇⠀⢀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⢹⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠁⠁⠘⠷⠀⠀⠈⠛⠛⠿⠯⠄⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⠀⠀⠀⠀⠀⡀⢀⣿⣿⣿⡇⠀⢀⣿⡇⠀⣸⣿⠃⠀⠀⠠⠆⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠄
⠀⠀⠀⠀⠀⠀⠰⢿⣿⣿⣿⣿⣿⣿⡯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠉⢿⣿⣦⠀⠀⠀⡇⠘⣿⣿⣿⣿⡀⠀⣻⡇⠀⣴⣤⡀⡄⠀⠀⣀⡀⠀⢀⡀⠀⠀⠀⠀⠀⣀⠄
⠀⠀⠀⠀⠀⠀⠈⠛⠟⠻⠏⠿⡿⡞⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⢠⣶⣾⠇⠀⠀⠉⠛⠙⠃⠀⠘⣇⠀⠈⠈⠙⠁⠀⠀⠛⠋⠁⠙⠛⠃⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠸⣟⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠙⠻⠟⠘⠗⠘⠛⠚⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡀⠀⠀⣤⣤⣴⣦⣤⡀⠀⠀⣤⣤⣤⡄⠀⣤⣤⣤⡄⠀⢠⣤⣤⡄⠀⢠⠀⢠⠀⠀⢠⡀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣾⡏⠉⣿⡏⢹⣿⡆⣾⡏⠉⣿⡇⣾⡿⠉⣿⡇⢸⣿⠉⣿⠇⢰⣿⠀⢸⣷⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣷⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣛⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⡀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢛⣛⣿⡟⣛⣻⡷⠄⠀⢀⣤⣴⣾⠟⣡
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠲⣯⣿⠿⢿⠚⠂⠐⠊⠟⠋⠀⡀⢉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠁⠀⠀⠻⠇⠀⣀⠀⠀⠀⠀⠀⢀⠀⢳⡯
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡍⠻⡿⢿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠐⠉⠋⢼⣿⣿⣿⡛⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠷⠟⠀⢀⡽⡈⢻⣿⣿⣉⠙⠄⠀⠀⠀⠀⠀⠀⠠⠄⠀⠀⢠⠀⣿⠂⠀⠀
⣿⡻⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢶⣆⠀⠀⢸⣷⣾⣿⣯⣿⣿⠀⠀⠀⠀⠀⡀⣀⡀⠀⠀⠀⠚⠀⠁⠀⠀⠀
⠛⠀⠀⣨⣉⣙⣿⣋⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⡿⠿⡟⠀⠀⠘⢿⣯⡘⠟⢿⠏⠀⠀⠀⠀⠀⠀⠀⢠⣶⣼⣿⣷⣤⠀⠀⠀⠀
⠁⠀⠈⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⢘⣿⣿⡟⠻⠀⠀⢀⣴⣄⠀⠀⢛⣁⡀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠟⠉⠀⠀⠀⠀
⣷⡆⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡻⢫⣿⣿⡿⢿⢿⡿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠹⣿⠀⠀⠀⠀⢸⡿⠿⠂⠀⠸⣿⠛⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀
⣿⡧⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣿⡿⠿⠣⠈⠛⣿⣿⣿⣷⣯⠽⠙⣻⣿⣿⣿⣿⠿⣿⠏⠉⠁⠈⢹⣿⣿⣿⡆⠀⠀⠙⠇⡾⠋⠀⢸⣿⣿⣶⠄⠀⢀⣦⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⣿⠀⠀⡀⢻⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣷⡀⠀⠀⠈⠀⠀⠀⢸⣿⣿⣿⡀⠀⢸⣿⡁⠀⢰⣶⠆⠀⠀⠀⡖⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠛⢯⣿⣿⢾⣿⣯⠿⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⣿⣷⣶⡀⠀⠀⢠⡆⢸⣿⣿⣿⣧⠀⠘⠿⡁⠀⣉⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠈⠊⠁⠐⣏⠃⠀⠘⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢯⢈⠉⠁⣤⣶⡼⠀⠈⠙⠿⠿⠻⠃⠀⢹⡇⠀⠉⠙⠲⠃⠀⠡⢿⠗⠦⠿⠗⠆⠀⠀⠀⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠐⠑⠀⠀⢀⢱⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠱⠾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠦⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠉⠻⠟⠘⠗⠘⠛⠚⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡀⠀⠀⣤⣤⣴⣦⣤⡀⠀⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⢠⣤⣤⡄⠀⢠⠀⢠⠀⠀⢠⡀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣾⡏⠉⣿⡏⢹⣿⡆⣾⡏⠉⣿⡇⣾⣿⠉⣿⡇⢸⣿⠉⣿⠇⢰⣿⠀⢸⣷⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣷⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⡀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⣛⣿⡟⠏⢜⡳⠂⠀⠀⣤⣴⣾⠟⣡
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠺⣿⣿⠿⠿⠹⢁⠠⠛⠟⠋⠁⢀⣍
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠿⠇⠀⡀⠀⠀⠀⠀⠀⠀⠀⢳⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⡏⠿⠿⢿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠈⠋
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠋⣼⣿⣿⣿⡟⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠷⠟⡀⢀⡴⡈⢻⣿⣿⣉⠙⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⠀⢸⠀⣿⠆⠀⠀
⣿⣛⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢶⣆⠈⠁⢹⣷⣶⣿⣯⣿⣿⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠈⠀⠁⠀⠀⠀
⠛⠈⢈⣉⣋⣚⣿⣋⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣽⡿⣿⡟⠀⠀⠘⢿⣯⣸⠟⣿⠏⠀⠀⠀⠀⠀⠀⠀⢠⣶⣼⣿⣷⣄⠀⠀⠀⠀
⠁⠀⠀⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⠁⢸⣿⣿⡟⠿⠀⠐⢀⣴⣄⠀⠀⢙⣀⣀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠁⠀⠀⠀⠀
⣶⡆⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⡿⢻⣿⣿⡿⠿⢿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠻⣿⠀⠀⠀⠀⢸⡿⠟⠂⠀⠸⣿⠛⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⡧⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠁⣿⣿⢛⠇⠈⠻⢿⣿⣿⣷⣯⠽⠙⣻⣿⣿⣿⣿⠿⣿⠋⠉⠁⠈⠻⣿⣿⣿⡄⠀⠠⠚⡇⡾⠃⠀⢸⣷⣿⣶⠀⠀⢠⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠉⠁⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠁⠀⠊⠉⠹⣷⠀⠀⡰⠻⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠈⣻⣿⣿⣷⡀⠀⠀⠈⠀⠀⠀⢸⣿⣿⣿⡀⠀⢠⣿⡁⠀⢰⣶⠆⠀⠀⠀⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠛⢽⣿⣿⢿⡾⣯⠹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠁⠁⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⣿⣷⣶⡀⠀⠀⢠⡆⢸⣿⣿⣿⣧⠀⠘⢿⡅⠀⣉⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠃⠙⠉⡕⡅⠀⠸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢯⠉⠉⢁⣤⣶⡼⠀⠀⠙⠿⠟⠿⠃⠀⢻⡇⠀⠙⠙⠢⠂⠀⠰⣿⠗⠦⠿⠶⠆⠀⠀⠀⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠨⠰⠠⠀⢠⢱⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠱⠾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠆⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠉⠻⠟⠘⠗⠘⠛⠚⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡀⠀⠀⣤⣤⣴⣦⣤⡀⠀⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⢠⣤⣤⡄⠀⢠⠀⢠⠀⠀⢠⡀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⡏⢹⣿⡆⣾⡏⠉⣿⡏⢹⣿⡆⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢸⣿⠉⣿⠇⢰⣿⠀⢸⣷⢰⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣇⣿⣇⣀⣿⣇⣸⣿⣷⣿⣷⣶⣿⣗⣿⣷⣶⣟⣁⣸⣿⣀⣉⣀⣾⣿⣶⣾⣿⣚⣿⣷⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢛⣻⣿⣟⠟⣘⠛⡆⠀⠀⣠⣤⣶⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⢹⣿⣷⡾⢿⢿⠊⡀⠿⠿⠋⠁⢈
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠈⠿⡇⠀⡈⠀⠀⠀⠀⠀⠀⢀⢹
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠶⠹⡿⣿⣿⣿⣿⣿⣿⡏⠉⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠘
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠠⡀⠀⠈⠣⣿⣿⣿⣿⣱⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⢴⠇⠀⣀⣧⠛⣻⣿⣏⣉⠛⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⡄⣶⠀⠀
⣿⠁⢸⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣤⠀⠀⠉⣽⣧⢸⣿⣛⣿⣿⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⢰⠓⠁⠀⠀
⠟⠀⠀⡉⠛⠻⣛⠟⣹⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣏⣿⡕⠾⡆⠀⠀⠻⢿⡏⢹⠻⡿⠟⠀⠀⠀⠀⠀⠀⠉⢠⣤⣤⣶⣦⣄⠀⠀⠀
⠀⠀⠀⣃⣀⣐⣉⣀⣮⣃⣁⠉⢹⣿⡿⢏⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⠃⠁⣿⣿⣿⠿⠇⠀⠀⢀⣄⡀⠀⠈⢛⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠿⠿⠿⠋⠀⠀⠀
⣴⡦⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡖⡿⢣⣿⣿⣿⣿⣿⣿⠟⣾⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⠀⠀⠈⢿⡟⠀⠀⠀⠀⣼⡿⠷⠀⠀⢸⡟⠓⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢹⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣺⡿⠫⠃⠐⠶⣤⣾⣿⣧⣍⣩⡛⠻⣿⣿⣿⡿⡻⠿⠿⠈⠉⠉⠙⢿⣿⣿⣷⠀⠀⠀⠈⢓⢀⡶⠀⠀⢺⣥⣶⣤⠀⠀⢁⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠈⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠁⠀⠀⠀⠀⠀⠐⠋⠛⣯⠁⠀⠀⠺⠿⡟⠟⠏⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⢄⣀⠀⠀⠘⠀⠀⠀⠀⢸⡿⣿⣿⠀⠀⢸⣟⠀⠀⢠⣤⠀⠀⠀⠀⡤⠀⠀⠀⠐⠂⠀⠀⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⢿⣿⣿⣦⣄⠀⠀⠀⢰⠀⢸⣦⣿⣿⡄⠀⠸⣿⠀⠀⠙⠉⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀
⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡍⠉⠙⠋⢢⣤⣤⠐⠀⠈⠛⠿⠛⢿⠀⠀⢾⡄⠐⠻⢿⣄⠇⠀⣾⣿⡦⣨⡿⠤⠄⠀⠀⠀⠀
⠀⠀⠉⠈⠏⢎⠲⠤⢀⠀⠘⢿⠀⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡀⠀⠀⠀⠀⠀⠀⠉⠀⠤⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠉⠻⠟⠘⠗⠘⠛⠚⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣤⣤⡀⠀⠀⣤⣤⣤⣤⣤⠀⠀⠀⣤⣤⣤⡀⠀⣠⣤⣤⡄⠀⢠⣤⣤⡄⠀⢠⠀⢠⠀⠀⢀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⠉⣿⠀⣾⡏⠉⣿⡏⠉⣿⠀⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣀⣿⣀⣿⣇⣀⣿⣇⣀⣿⣰⣿⣷⣶⣿⡇⣿⣗⠶⠟⠁⢸⣿⠀⠀⢀⣾⣿⣶⣾⣿⣂⣿⣶⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⢱⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠿⣿⣿⣿⣿⣿⣇⣠⣿⡂⠀⠐⠠⠖⠀⠀⠀⠀⠀⠀⠀⠀⢤⡶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡞⣩⣬⣙⡻⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢥⣾⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡿⠛⠉⠛⠿⠷⣾⣿⡟⣿⣿⣿⣿⡿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⡏⠉⢉⠯⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⠡⣽⣿⣿⣼⣟⣿⣿⣿⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⣸⣶⠖⠠⠀⠀⠚⠿⠃⣟⡿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠆⠈⢿⣷⡜⣶⣶⣿⣿⣿⣿⠟⠿⠿⠿⣿⣿⣿⣿⡟⠛⠿⡿⣿⣿⣿⣽⣿⣿⡟⣤⣶⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⢛⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⢙⣿⠛⠁⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣠⠀⠀⠉⠋⠟⣯⣬⠛⠟⠁⠀⠀⠀⣀⣿⣿⣿⣿⡇⠀⠐⠀⠝⠿⣿⣿⣿⡿⠉⣿⣿⡙⢿⣿⣿⣿⣿⣟⡇⠐⢾⣿⣿⠁⡿⠉⠀⠁⢻⠹⠆⠐⠀⠀⠀⠀⠘⢟⠂⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⡀⠀⠀⠀⢉⣴⢧⣠⣾⣿⣿⣿⣿⣿⡿⣡⡯⠀⠀⠀⠀⠀⠉⠘⠉⠁⠂⣿⣿⣿⣦⡹⣿⡽⣿⣿⠃⠀⠀⢻⣿⠸⣷⠤⢰⠀⢿⡟⢀⠀⠀⠀⠀⡀⠀⢶⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠃⠀⠀⠀⠀⠀⠀⠀⠁⠺⠃⠀⠁⠻⠛⠟⠁⠼⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣽⣿⣿⣿⣿⣦⣸⡟⠀⠀⠀⠠⠿⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠈⠻⣎⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣀⣤⡀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠴⣶⣶⡲⡂⠀⠀⠀⠀⠀⠀⠀⠀⠈⡻⠿⠿⣿⠿⢿⣿⣿⣦⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠈⠿⠗⠀⠀⠀
⠀⠀⢀⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠁⠁⠁⠀⡀⠀⠀⠀⠀⠀⣐⡴⠄⠁⠀⠈⠇⠀⠀⠈⢻⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠤⣤⠼⣇⡀⠀⠀⠀⠀⠀⠀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠘⢟⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⣀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣈⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⢀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⢀⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣆⣿⣿⣷⣶⡄⣠⣶⣶⣦⣠⣶⣶⣶⣠⣶⣶⣦⡀⣿⣿⢻⣿⡇⣿⣿⢿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⡿⣿⣿⣿⣿⢸⣿⡇⢿⣿⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⣿⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⢿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⡏⣿⣿⣿⣿⣸⣿⡇⣶⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣸⣿⡇⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠃⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠉⠛⠇⠀⠃⠀⠀⠘⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣤⣤⠀⠀⠀⣤⣤⣤⣤⣤⠀⠀⠀⣤⣤⣤⡀⠀⣠⣤⣤⡄⠀⢠⣤⣤⡄⠀⢀⠀⢠⠀⠀⢀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⠉⣿⠀⣾⡏⠉⣿⡏⠉⣿⠀⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣀⣿⣀⣿⣇⣀⣿⣇⣀⣿⣰⣿⣷⣶⣿⡇⣿⣗⠶⠟⠁⢸⣿⠀⠀⢀⣾⣿⣶⣾⣿⣂⣿⣶⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠹⢿⣿⣿⣿⣿⣿⣀⣼⡇⠀⠀⠀⡤⠀⠀⠀⢀⠀⠀⠀⠀⠀⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢡⣍⡁⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣫⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⠟⠉⠛⠿⡷⣶⣿⣿⢻⣿⣿⣿⣿⠏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠸⢿⣿⣿⠄⠀⠈⠈⣹⣿⣿⣿⣍⣿⣿⣿⣿⣿⣿⣿⡇⣠⣿⣿⣿⣾⣛⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⢸⣦⡴⠀⠄⠀⠚⠿⠟⣸⠿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⢻⣥⠀⢤⣤⣶⣿⣿⣿⡟⠿⢿⡿⣿⣿⣿⣿⠟⠳⢿⣿⣿⣿⣿⣿⣿⣿⣏⣼⣶⣼⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⣿⠟⣻⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⢘⣻⡿⠋⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⠀⠈⠛⠀⠙⢃⣽⠏⠟⠉⠀⠀⠀⠀⣹⣿⣿⣿⠀⠀⠀⠀⠛⠿⣿⣿⣿⡟⢹⣿⣿⠛⢻⣿⣿⣿⣾⡯⡇⠐⢾⣿⣿⡇⣸⠋⠁⠈⢻⡟⡦⠀⠀⠀⠀⠀⠀⠻⡇⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠈⠁⣰⢇⣤⡶⢾⣿⣿⣿⣿⢋⣹⠁⠀⠀⠀⠀⠀⠉⠈⠉⠀⠊⣿⣿⣷⣄⠙⢛⡿⢿⣿⠃⠀⠀⠹⣿⠅⢿⣦⠀⡄⢺⣿⠃⡀⠀⠀⠀⠀⠀⠰⠁⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠃⠀⠀⠁⠀⠀⠀⠀⠉⠟⠁⠀⠹⠛⠿⠏⠁⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⣿⣿⣿⣿⣶⣅⣸⠟⠀⠀⠀⠠⠽⠀⠀⠀⠀⠀⠘⠏⠀⠀⠀⠀⠀⠛⢦⡛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣀⣀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢤⡄⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠯⠭⣿⣿⠻⠿⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠌⠹⠿⠆⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡄⠀⠀⠀⠸⠁⠀⠀⠘⢿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠾⠀⠀⠀⠀⠀⠀⠀⠐⠆⠀⠀⠀⠀⠀⠀⠀⠀⠙⣉⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣀⣀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⢀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⢀⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣆⣿⣿⣷⣶⡄⣠⣶⣶⣦⣠⣶⣶⣶⣠⣶⣶⣦⡀⣿⣿⢻⣿⡇⣿⣿⢿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⡷⣿⣿⣿⣿⢸⣿⡇⢿⣿⣿⡛⢸⣿⣿⣿⣿⢿⣿⣿⣿⡇⣿⣿⣼⣿⣯⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿⣿⢿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⡇⣿⣿⣿⣿⣸⣿⡇⣶⣿⣿⣿⢸⣿⣿⣿⣿⣾⣿⣿⣿⡇⣿⣿⣸⣿⡏⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠃⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠉⠻⠇⠀⠃⠀⠀⠘⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣤⣤⡀⠀⠀⣤⣤⣤⣤⣤⠀⠀⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⢠⣤⣤⡄⠀⢠⠀⢠⠀⠀⢀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⠉⣿⠀⣾⡏⠉⣿⡏⠉⣿⠀⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣀⣿⣀⣿⣇⣀⣿⣇⣀⣿⣰⣿⣷⣶⣿⡇⣿⣗⠶⠟⠁⢸⣿⠀⠀⢀⣾⣿⣶⣾⣿⣂⣿⣶⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⣿⣿⣿⣿⣿⣿⣇⣠⣿⠀⠀⠐⢤⠄⠀⠀⠀⠀⠀⠀⠀⠀⢠
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⣭⣜⢙⢻⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠈
⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡿⠛⠙⠻⢿⣶⣾⣿⡿⣿⣿⣿⣿⡿⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀
⠸⢿⣿⣿⡀⠁⠈⠉⣿⣿⣿⣿⣏⣻⣿⣿⣿⣿⣿⣿⢣⣰⣾⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⣧⣤⠄⢠⠀⠐⠻⡿⠣⠿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢹⡍⠀⢠⣤⣴⣿⣿⣿⡟⠻⣿⡿⣿⣿⣿⡿⠛⠦⢿⣿⣿⣿⣿⣿⣿⣿⣏⢐⣥⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⣿⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣻⡿⠟⢁⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠛⠁⠘⣛⣘⡟⠿⠋⠀⠀⠀⠀⣸⣿⣿⡇⠀⠀⠀⠈⠻⣿⣿⣿⣿⠋⢿⣷⡟⠙⢻⣿⣿⣿⣿⡟⡇⠀⢿⣿⣿⣿⢀⡟⠉⠈⠙⣿⢦⠀⠄⠀⠀⠀⠀⠹⣗⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠈⠉⣰⣯⣤⣶⣶⣾⣿⣿⡿⢁⡁⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⢸⣿⣿⣧⡀⠹⢻⣽⣿⣷⡃⠀⠀⠉⣿⡇⠸⣦⡀⣄⢰⣷⡖⠀⠀⠀⠀⠀⠀⠀⡎⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠃⠀⠈⠁⠀⠀⠀⠀⡹⠋⠈⠈⡿⠽⡿⠋⣰⡯⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣹⣿⣿⣿⣶⣬⣁⠸⠟⠁⠀⠀⠀⠸⠇⠀⠀⠀⠀⠀⠿⠁⠀⠀⠀⠀⠸⢷⡜⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⡀⢤⣠⣤⢀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣽⣛⣿⣿⠿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠙⢿⡿⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠸⠁⠀⠀⠹⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡆⠀⠀⠀⠀⠀⠀⠁⢀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⢻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠙⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⣀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⢀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣼⣿⣿⢀⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣆⣿⣿⣷⣶⡄⣠⣶⣶⣦⣠⣶⣶⣶⣠⣶⣶⣦⡀⣿⣿⢻⣿⡇⣿⣿⢿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⣟⣿⣿⣿⣿⢸⣿⡇⢿⣿⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⣏⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⣿⣿⢿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⡇⣿⣿⣿⣿⣸⣿⡇⣶⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣸⣿⡏⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠃⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠉⠻⠇⠀⠃⠀⠀⠘⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣤⣤⡀⠀⠀⣤⣤⣤⣤⣤⠀⠀⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⢠⣤⣤⡄⠀⢠⠀⢠⠀⠀⢠⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⢹⣿⠀⣾⡏⠉⣿⡏⠉⣿⠀⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣀⣿⣇⣀⣿⣇⣀⣿⣰⣿⣷⣶⣿⡗⣿⣗⠶⠟⠁⢸⣿⠀⠀⣀⣾⣿⣶⣾⣿⣂⣿⣶⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⣿⣿⣿⣿⣿⣿⣇⣺⣿⠁⠀⠀⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⡷⡀⠀⢠⢄⠀⢘⣿⣿⣿⣿⣿⣿⣻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠄
⡿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠡⠉⠀⠀⠈⠀⠀⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠻⢿⣿⣦⣶⣿⡿⣿⣿⣿⣿⡿⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢸⣿⣿⣿⠈⠁⠉⠻⢹⣿⣿⣿⡈⠙⣿⣿⣿⣷⡁⠀⠀⠀⠀⡀⠈⢛⣿⣿⣿⠛⠻⠟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢀⣄⣤⠀⡀⠀⠸⢿⣿⢰⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠘⢿⣛⠁⢀⣀⣠⣿⣿⣿⣿⠻⣾⡟⢻⣿⠏⠁⠀⠀⠀⠀⠀⢠⣼⣿⣿⠇⠀⠀⠀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⡿⣾⣿⠃⠀⠀⠀⠀⠀⠀⠸⠷⠿⠋⢠⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠈⠟⠻⣿⢏⣹⣿⣿⡿⠙⠀⠀⠀⣸⣿⠀⠀⠀⠀⠀⠘⠶⢤⣼⣿⠟⢰⣁⠁⣀⠀⠻⣿⣿⣿⣿⣿⢿⠀⠩⣿⣿⣿⡏⢀⡞⠋⠉⢿⡇⣄⠀⠀⠀⠀⠀⠀⢿⣦⣤⠄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡏⠀⠀⠀⠀⠀⠘⠻⣡⣾⣤⣴⣶⣾⣿⡿⢁⡂⠀⠀⠀⠀⠀⠀⠀⠙⠋⠀⢸⣿⣷⣿⣿⠂⠈⠛⢛⣿⣿⡿⠀⠀⠈⢸⣿⠃⢸⣅⠀⡀⢼⣥⠆⠀⠀⠀⠀⠀⠀⠀⡌⠀⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠇⠀⠀⠂⠀⠀⢀⣼⠛⠿⢻⣿⣿⡿⠛⣴⣟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠈⣿⣿⣿⣶⣄⡀⠉⠉⢿⠇⠀⠀⠀⠀⢻⠀⠀⠉⠀⠁⠸⡟⠀⠁⠀⠀⠀⠰⣤⠰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠈⠀⠈⠀⣈⡉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣛⡛⢿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢈⠃⢾⣶⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠻⠻⠱⠂⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠹⠛⠀⠘⠻⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠿⡿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣆⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⠞⠛⠧⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⡐⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣶⡀⠀⣀⣀⣀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⢀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣼⣿⣿⢁⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣆⣿⣿⣷⣶⡄⣠⣶⣶⣦⣠⣶⣶⣶⣠⣶⣶⣦⡀⣿⣿⢹⣿⡇⣿⣿⢿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⣿⣿⣿⣿⣿⢸⣿⡇⢿⣿⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⡿⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⣿⣿⣿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⡟⣿⣿⣿⣿⣸⣿⡇⣶⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣸⣿⡇⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠃⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠉⠻⠇⠘⠃⠀⠀⠘⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣤⣤⡀⠀⠀⣤⣤⣤⣤⣤⠀⠀⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⢠⣤⣤⡄⠀⢠⠀⢠⠀⠀⢠⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⢹⣿⠀⣾⡏⠉⣿⡏⠉⣿⠀⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣀⣿⣇⣀⣿⣇⣀⣿⣰⣿⣷⢶⣿⡗⣿⣗⠶⠟⠁⢸⣿⠀⢀⣀⣾⣿⣶⣾⣿⣂⣿⣶⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡇⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⠩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢻⣿⣿⣿⣿⣿⣿⡁⣿⡟⠠⠀⢠⣠⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡇⠀⠠⣤⠁⠀⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⢹⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⢠
⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠦⠁⠀⠀⠋⠀⢀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣦⣴⣾⣿⣿⣿⣿⣿⣿⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢸⣿⣿⣿⡌⠀⠙⠛⢹⣿⣿⣿⡉⠋⣻⣿⣿⣎⠁⠀⠀⠀⠀⠀⠉⣻⣿⣿⡿⠟⢟⣟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡈⣤⣀⡄⢀⠀⠡⢿⣿⡇⣾⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠙⣿⣏⠁⢀⣀⣠⣾⣿⣿⣿⡻⣾⠿⢻⡿⠋⠀⠀⠀⠀⠀⠀⣤⣿⣿⣿⠁⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⠿⣿⣷⣿⡟⠀⠀⠀⠀⠀⠀⠀⠷⡾⠿⢁⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠘⠿⡶⣿⡿⣻⣿⣿⡿⠋⠀⠈⢁⣸⡇⠀⠀⠀⠀⠀⠢⣤⣤⣽⣿⠃⣤⠀⠃⣠⠏⠝⢿⣿⣿⣿⣿⣿⠇⠘⢧⣿⣿⣿⠁⡰⠛⠘⠻⣷⢦⡀⠀⠀⠀⠀⠀⠸⣶⣤⣤⠴⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡟⠀⠀⠀⢀⠈⠙⠻⣧⣾⣤⣶⣶⣾⣿⠏⡃⠀⠀⠀⠀⠀⠀⠀⠈⠛⠃⠀⣿⣿⣦⣾⣿⠆⠀⠛⢟⣻⣿⣽⠀⠀⠈⠁⣿⡟⠨⣟⡀⢀⢰⣯⣼⠀⠀⠀⠀⠀⠀⠀⢠⠂⠰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠇⠀⠐⠂⠈⠀⣠⡾⣿⡿⣿⣻⣿⠟⢣⣞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⡿⣿⣿⣷⣤⣀⠀⠈⠋⢿⡿⠀⠀⠀⠀⢹⡇⠀⠉⠁⠈⠀⣿⠃⠈⠀⠀⠀⠀⣦⡄⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠸⠋⠈⠀⠀⠁⠈⠁⠀⢉⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡟⠿⠿⣿⣿⣿⣷⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠸⠰⣶⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢿⢿⢟⢖⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠩⠿⠋⠁⠻⢿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠉⠁
⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⣿⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠲⠶⠛⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢄⠅⠡⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣤⣤⣄⣀⡀⠀⠀⠀⣀⣀⣀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⢀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⣿⣿⣿⣼⣿⣿⢇⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣦⣿⣿⣷⣶⡄⣠⣶⣶⣦⣠⣶⣶⣶⣠⣶⣶⣦⡀⣿⣿⢹⣿⡇⣿⣿⢿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣇⠇⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⣿⣿⣿⣿⣿⢸⣿⡇⢿⣿⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⡏⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⣿⣿⣿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⣿⣿⣿⣿⣿⣸⣿⡇⣶⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣸⣿⡇⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠛⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠉⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠉⠻⠇⠘⠃⠀⠀⠘⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡀⠀⠀⣤⣤⣤⣤⣤⠀⠀⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⢠⣤⣤⡄⠀⢠⠀⢠⠀⠀⢠⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⢹⣿⠀⣾⡏⠉⣿⡏⠉⣿⡆⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣀⣿⣇⣀⣿⣇⣀⣿⣷⣿⣷⢶⣿⡗⣿⣗⠶⠟⠁⢸⣿⠀⢀⣀⣾⣿⣶⣾⣿⣂⣿⣶⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⣿⣿⣿⣿⣿⣿⣿⢸⣿⠂⠄⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠁⣠⣄⠀⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⢠
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⢀⠉⠃⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⣿⣷⣤⣼⣿⣿⣿⣿⣿⣿⣿⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢘⣿⣿⣿⡌⠙⠙⠿⢿⣿⣿⣿⡙⠛⣻⣿⣿⡃⠀⠀⠀⠀⢄⠈⢛⣿⣿⣿⣿⠟⠻⣿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢩⣀⡀⠀⡈⠉⢹⣿⣿⢸⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⣿⣛⠁⠀⣀⣠⣼⣿⣿⣿⣿⣾⡿⢻⠟⠁⠀⠀⠀⠀⠀⣠⣬⣿⣿⡟⠀⠀⠀⠁⣀⣘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⣾⣿⠁⠀⠁⠀⠀⠈⠀⢸⢾⠽⠃⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠘⢿⣷⣿⣿⣿⣿⣿⡿⠿⠁⠉⣁⡄⠀⠀⠀⠀⠀⠰⢦⣤⣭⣿⡟⢰⡀⠓⠀⣷⠬⠉⢿⣿⣿⣿⣽⣿⡿⠈⢻⣿⣿⣿⡏⢠⠟⠉⠛⣿⣤⡀⢀⠀⠀⠀⠀⠈⣶⣤⣤⡶⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡎⠀⠀⠀⠀⠉⠹⠿⣽⣵⣤⣶⣶⣿⡟⡰⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠁⢸⣿⣶⣤⣽⣿⡶⠀⠹⠿⣿⣿⣿⡇⠀⠀⠉⢻⣿⠃⢻⡀⠀⠀⣼⢠⡅⠀⠀⠀⠀⠀⠀⠈⡄⠈⠴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠇⠀⠐⠂⠘⢂⣴⠿⣿⣿⣿⣿⡿⠓⣼⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣽⣿⣿⣿⣯⣄⠀⠀⠀⠛⢹⡿⠂⠀⠀⠀⠘⣿⠀⠘⠋⠈⠁⢻⡇⠀⠀⠀⠀⠀⣶⣀⢼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠟⠁⠀⠀⠁⠈⠉⠀⠚⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠳⠿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠙⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠐⠂⣰⣦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠴⡿⡻⡳⡊⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⢛⡿⠉⠸⠿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠋
⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⢿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢤⠴⢷⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠈⠈⠄⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣀⣀⡀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣁⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢀⣠⣤⣀⠀⢀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣶⣷⣶⣤⣤⡀⠀⠀⠀⠀⣿⣿⣿⣼⣿⣿⢃⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣦⣿⣿⣷⣶⡄⣠⣶⣶⣦⣠⣶⣶⣶⣠⣶⣶⣦⡀⣿⣿⢹⣿⡇⣿⣿⢿⣿⠆⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⡿⣿⣿⣿⣿⢸⣿⡇⢿⣿⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⡏⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⣿⣿⣿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⣿⣿⣿⣿⣿⣸⣿⡇⣶⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣸⣿⡇⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠛⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠉⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠉⠻⠏⠘⠃⠀⠀⠘⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡀⠀⠀⣤⣤⣤⣤⣤⠀⠀⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⢠⣤⣤⡄⠀⢠⠀⢠⠀⠀⢠⡀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⢹⣿⠀⣾⡏⠉⣿⡏⠉⣿⡆⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⡇⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣀⣿⣇⣀⣿⣇⣀⣿⣷⣿⣷⢶⣿⡗⣿⣷⠶⠟⠁⢸⣿⢀⣀⣀⣾⣿⣶⣾⣿⣂⣿⣷⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡏⠁⠁⠁⠀⠀⢀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢻⣿⣿⣿⣿⣿⣿⣋⣿⡗⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠠⣤⢀⠁⣡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠈⢹⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠀⢀⠀⠀⢀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢹⣿⣿⣿⡈⠛⠿⠛⢽⣿⣿⣿⡝⠟⢻⣿⣭⠀⠀⠀⠀⠄⠀⠙⣻⣿⣿⡿⣿⡿⠿⢿⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⢍⣅⣀⠀⠈⠉⠉⣿⣿⢇⣿⣿⣿⡟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠙⣿⠿⠣⣀⢀⣀⣸⣿⣿⣿⣿⣶⡿⠛⠛⠀⠀⠀⠀⠀⠀⣠⣽⣿⣿⡟⠀⠀⠀⠀⣀⣈⣿⣿⣻⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣶⣿⠇⠀⠁⠀⠀⠈⠁⠈⣿⠿⠟⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠹⣿⣇⣼⡿⢿⣿⣿⡿⠻⠄⢉⣁⠀⠀⠀⠀⠀⠀⢴⣤⣤⣭⣿⠟⣇⠀⠂⠐⢂⡝⠉⠻⣿⣿⣿⣯⣿⣿⠃⠹⢿⣿⣿⣿⠁⡼⠟⠻⢿⡇⣀⠀⡀⠀⠀⠀⠀⢳⣶⣄⣾⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠆⠀⠀⠀⠉⠉⠻⠿⣯⣽⣤⣶⣾⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠸⠟⠋⠀⣿⣷⣦⣀⢸⣿⣶⠄⠈⢻⠿⢿⣿⣼⠀⠀⠘⠛⣿⡟⠘⡇⠀⠀⣸⣇⡍⠀⠀⠀⠀⠀⠀⠀⡉⠉⠩⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠠⠄⠐⣤⠾⠾⣿⣿⣿⡿⠟⣠⠮⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠚⣿⣿⣿⣭⡁⠀⠀⠀⠺⠛⣿⡇⠀⠀⠀⠀⢻⡇⠀⠙⠁⠓⠹⣿⠀⠂⠀⠀⠀⢠⣄⢠⡥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠼⠁⠀⠀⠈⠉⠙⠁⠈⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡶⠾⣿⣿⣿⣿⣷⣤⣄⠀⠀⠈⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⢠⣦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡒⠂⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠒⠒⢻⠟⠉⠟⢿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠻⢿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠞⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠱⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣀⣀⡀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⣠⣤⣀⠀⢀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣼⣿⣿⢁⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣦⣿⣿⣷⣶⡄⣠⣶⣶⣦⣠⣶⣶⣶⣠⣶⣶⣦⡀⣿⣿⢹⣿⡇⣿⣿⢿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣶⣶⣶⣶⡄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⣿⣿⣿⣿⣿⢸⣿⡇⢿⣿⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⡏⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀
⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⣿⣿⣿⣿⣿⣸⣿⡇⣶⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣸⣿⡏⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠛⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠉⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠉⠻⠏⠘⠃⠐⠀⠘⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡀⠀⠀⣤⣤⣤⣤⣤⠀⠀⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⢠⣤⣤⡄⠀⢠⠀⢠⠀⠀⢠⡀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⢹⣿⠀⣾⡏⠉⣿⡏⠉⣿⡆⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⡇⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣀⣿⣇⣀⣿⣇⣀⣿⣷⣿⣷⢶⣿⡗⣿⣷⠶⠟⠁⢸⣿⢀⣀⣀⣾⣿⣶⣾⣿⣂⣿⣷⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡏⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⣿⣿⣿⣿⣿⣿⣿⢛⣿⡭⠀⠀⢀⢀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠱⣦⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠘⢻⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠘⠉⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⠀⠀⠀⠀⣀⣭⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣧⣄⣠⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢛⢿⣿⣿⡈⠉⠛⠿⢻⣿⣿⣿⡿⠋⢻⡉⠀⠀⠀⠀⠀⡀⠙⣻⣿⣿⣿⣿⣿⣿⡿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢋⡁⠀⠀⠉⠉⢻⣿⣿⢃⣿⣿⣿⡟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠈⠹⣿⠿⠇⠀⠀⢀⣸⣿⣿⣿⣿⣤⠞⠉⠀⠀⠀⠀⠀⢀⣠⣿⣿⣿⣿⣷⠀⠠⠀⠉⠁⢈⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣼⣿⠃⠀⠁⠀⠀⠙⠉⢸⡏⠛⣉⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠳⣶⣆⣨⣿⣿⣿⣿⣿⢿⢅⡉⠀⠀⠀⠀⠀⠀⢤⣄⣌⣽⣿⠟⣿⠃⠀⠠⠀⠤⡌⠉⠉⢭⣷⣿⣿⣟⣿⣿⡏⠹⣿⣿⣿⣿⠁⡼⠟⠿⣿⣄⡀⠀⠀⠀⠀⠀⠀⢧⣺⣇⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡄⠀⠀⠉⠁⠙⠿⣶⣯⣿⣭⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠡⠙⠿⠛⠀⣿⣷⣦⡀⠀⠀⢿⣳⣤⡀⠹⠿⣿⣿⣿⣿⠀⠀⠙⠟⣿⣿⠚⡇⠀⠀⣽⢁⡋⠀⠀⠀⠀⠀⠀⠈⡋⠉⢋⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠠⡄⣰⣴⠒⣾⡿⣿⡿⠟⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠙⢻⣿⣶⣄⡘⠛⠋⠀⠀⠀⢡⠾⣿⣿⠀⠀⠀⠀⢻⡟⠀⠻⠂⠆⢻⡞⠁⠀⠀⠀⠀⢠⢀⢠⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡜⠁⠀⠀⠋⠙⠛⠀⠰⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣤⢼⢿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠙⠃⠀⠀⠀⠀⠐⠇⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠈⠘⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⢤⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠠⠆⢀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠶⠦⢼⡿⠍⠹⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠙⢿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠙⠆⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣉⣀⡀⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⣈⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢁⣠⣤⣀⠀⣀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣼⣿⣿⢁⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣦⣿⣿⣷⣶⡄⣠⣶⣶⣦⣠⣶⣶⣶⣠⣶⣶⣦⡀⣿⣿⢻⣿⡇⣿⣿⢿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⣿⣿⣿⣿⣿⢸⣿⡇⢿⣿⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⡟⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⣿⣿⣿⣿⣿⣸⣿⡇⣶⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣸⣿⡇⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠛⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠉⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠉⠻⠇⠘⠃⠀⠀⠘⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡀⠀⠀⣤⣤⣤⣤⣤⠀⠀⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⢠⣤⣤⡄⠀⢠⠀⢠⠀⠀⢠⡀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⢹⣿⠀⣾⡏⠉⣿⡏⠉⣿⡆⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⠅⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣀⣿⣇⣀⣿⣇⣀⣿⣷⣿⣷⢶⣿⡗⣿⣷⠶⠟⠁⢸⣿⢀⣀⣀⣾⣿⣶⣾⣿⣂⣿⣷⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⣿⣿⣿⣿⣿⣿⣿⢘⣿⡥⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⡱⣦⠄⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠘⢻⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀
⣽⣽⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠏⠀⠙⠁⠀⢀⣭⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣧⣄⣠⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢋⣿⣿⣿⡅⠙⠿⠻⢿⣿⣿⣿⡟⠟⢫⡉⠀⠀⠀⠀⠀⠀⠙⣻⣿⣾⣿⣿⣿⣿⡿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢉⡁⠀⠀⠉⠉⢻⣿⣿⢃⣿⣿⣿⡟⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠈⠹⣿⡿⠃⠀⠀⢀⣸⣿⣿⣿⣿⣤⠞⠉⠀⠀⠀⠀⠀⢀⣀⣿⣟⣿⣿⣿⠀⠁⠀⠘⠁⡈⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣼⣿⠃⠀⠁⠀⠀⠉⠉⢸⡏⠛⣉⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠳⣶⣄⣨⣿⣿⣿⣿⣿⡿⠇⡉⠀⠀⠀⠀⠀⠐⢤⣀⣉⣽⣿⠟⣟⠃⠀⠠⠀⠦⡜⠋⠉⢭⣷⣿⣿⣟⣿⣿⡏⠹⢿⣿⣿⣿⠁⡼⠟⠿⣿⣄⡀⠀⠀⠀⠀⠀⠀⣷⣮⣅⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠄⠀⠀⠈⠁⠙⠿⣶⣿⣿⣥⣶⠿⠋⠀⠀⠀⠀⠀⠀⠀⠁⠘⠿⠟⠀⣿⣷⣦⡀⠀⠀⢿⣷⣤⡀⠹⣿⣿⣿⣿⣻⠀⠀⠙⠟⣿⣿⠚⡇⠀⠀⣽⢁⡋⠀⠀⠀⠀⠀⠀⠈⠉⠉⢋⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠄⣰⡶⠲⣾⡿⣿⡿⠟⣡⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠹⣿⣿⣷⣄⡘⠛⠋⠀⠀⠀⠠⠶⣿⣿⠀⠀⠀⠀⢿⡟⠀⢻⠆⠆⢻⡞⠁⠀⠀⠀⠀⢠⢀⢠⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡔⠁⠀⠀⠏⠙⠛⠀⠰⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣤⠾⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠐⠇⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠈⠙⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⢤⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢰⠦⢦⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠶⠦⢼⡿⠝⠻⠿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠙⢿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠛⠆⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣉⣀⡐⠓⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⣀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣼⣿⣿⢁⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣦⣿⣿⣷⣶⡄⣠⣶⣶⣦⣠⣶⣶⣶⣠⣶⣶⣦⡀⣿⣿⢻⣿⡇⣿⣿⢿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⣿⣿⣿⣿⣿⢸⣿⡇⢿⣿⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⡟⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⣿⣿⣿⣿⣿⣸⣿⡇⣶⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣸⣿⡇⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠛⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠉⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠉⠻⠇⠘⠃⠀⠀⠘⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡀⠀⠀⣤⣤⣤⣤⣤⠀⠀⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⢠⣤⣤⡄⠀⢠⠀⢠⠀⠀⢠⡀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⢹⣿⠀⣾⡏⠉⣿⡏⠉⣿⡆⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⡇⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣸⣿⣀⣿⣇⣀⣿⣇⣀⣿⣷⣿⣷⢶⣿⡗⣿⣗⠶⠟⠁⢸⣿⢀⣁⣀⣾⣿⣶⣾⣿⣂⣿⣷⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠈⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡁⣶⣄⠀⢡⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠙⣻⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠘⠊⠀⠀⠀⠀⠀
⠛⢻⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠰⠛⠂⠀⣨⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡀⣠⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠋⣿⣿⣿⡀⠈⠉⠻⠿⣿⣿⣿⡟⠻⣝⠀⠀⠀⠀⠀⠀⠘⠛⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⢋⠁⠀⠈⠛⠛⣿⣿⣿⢙⣿⣿⣿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠹⠶⠟⠇⠀⠀⠀⢠⣿⣿⣿⣷⠄⠘⠀⠀⠀⠈⠀⠀⠈⣈⢿⣿⣿⣿⣿⠆⢉⠀⠈⠋⡉⠻⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣼⣿⠃⠐⠂⠀⠉⠛⠉⢸⡋⢉⣀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠰⣤⡄⢠⣴⣶⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⣀⠈⠙⣿⣿⣿⢿⡍⠋⠀⠀⠀⠴⡌⡛⠛⠛⢋⣠⣼⣿⣿⢟⣿⣿⠻⣿⣿⣿⡟⠉⣿⢿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠘⡇⣿⣫⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡀⠀⠀⠉⠀⠘⣧⣶⣿⣿⣿⡾⠃⠀⠀⠀⠀⠀⠀⠈⠉⠙⢿⣿⠁⢸⣿⣦⣀⠀⠀⠀⠹⣶⣦⣃⠈⠻⣿⣿⣿⢷⣿⡏⠀⠑⣿⣿⣿⡾⡅⠀⠈⣿⢘⠇⠈⠀⠀⠀⠀⠀⠙⠋⠉⢛⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡆⠀⠀⣀⡠⠴⢴⣿⣿⢿⠍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡙⢻⣿⣷⣄⠀⠀⠰⡿⠟⠁⠀⠀⠁⣈⢿⣿⠇⠀⠀⠀⢸⣿⠀⠳⠠⠌⣿⡜⠁⠀⠀⠀⠀⢀⠀⢀⠆⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠁⠀⠀⠁⠀⠀⠙⠒⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣡⣆⣻⣿⣿⣿⣶⣆⣀⠀⠀⠀⠀⠀⠁⠸⡿⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠙⠃⠀⠀⠀⠀⠀⠙⢲⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣤⡤⣭⣿⡿⠛⡿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠀⠀⠀⠘⢿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠙⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣀⣀⡠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣀⣀⡀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣢⣤⣀⠀⢀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣼⣿⣿⢀⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣦⣿⣿⣷⣶⡄⣠⣶⣶⣦⣠⣶⣶⣶⣠⣶⣶⣦⡀⣿⣿⢻⣿⡇⣿⣿⢿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⣿⣿⣿⣿⣿⢸⣿⡇⢿⣿⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⣿⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⣿⣿⣿⣿⣿⣸⣿⡇⣶⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣸⣿⡇⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠛⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠉⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠉⠻⠏⠘⠃⠐⠀⠘⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡀⠀⠀⣤⣤⣤⣤⣤⠀⠀⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⢠⣤⣤⡄⠀⢠⠀⢠⠀⠀⢠⡀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⢹⣿⠀⣾⡏⠉⣿⡏⠉⣿⡆⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⡇⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⣀⣿⣇⣸⣿⣀⣿⣇⣀⣿⣇⣀⣿⣷⣿⡷⢶⣿⡗⣿⣷⠶⠟⠁⢸⣿⢀⣀⣀⣾⣿⣶⣾⣿⣂⣿⣷⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠊⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⡏⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⣤⠀⠀⢀⣠⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠘⢿⣿⣿⣿⣿⣿⣷⣿⠇⠀⠀⠀⠒⠀⠀⠀⠀⠀
⠀⠻⣿⢯⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠋⠁⠀⠀⠈⠀⠀⣘⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⣱⣿⣸⠀⠀⠈⠻⠛⣿⣿⣿⡿⠯⡃⠀⠀⠀⠀⠀⠀⠲⠿⣷⣉⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠉⠉⠉⠙⠛⠿⣿⣿⡏⣿⣿⡿⠟⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠉⠀⠸⠁⠀⠀⠀⠀⣿⣿⣿⣷⠄⠁⠀⠀⠀⠀⠀⠀⠀⠸⡿⢿⣿⢻⣻⡧⠀⠀⠀⠀⠀⠻⣿⣿⡻⢿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣷⣰⣷⠖⠀⠂⠀⠀⠻⠛⠐⣏⠈⣀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠠⣤⡀⠀⢤⢴⣾⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⣾⣿⣏⠀⠛⠀⠀⠀⠀⠀⠈⠘⠋⠈⢀⣈⣽⣿⡟⢙⣿⣿⢹⣿⣿⣿⠋⢩⣯⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢻⢙⡟⣹⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠉⠀⠀⢡⣤⣼⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠙⠒⢒⣾⡿⠁⢸⢷⣤⡀⠀⠀⠀⠨⠶⣴⡾⠀⠛⢿⣿⣿⡆⢘⡟⡇⠀⠁⣿⣿⣷⡎⠀⠀⢻⠇⠷⠀⠀⠀⠀⠀⠀⠈⠞⠋⠙⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠤⣾⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⢸⠈⠻⡿⣦⡀⠀⠀⠀⢴⣿⠟⠀⠈⠉⠁⠀⣼⣧⠇⠀⠀⠀⢻⡟⠱⠄⠄⢿⣧⠃⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠃⠀⠀⠈⠀⠈⠛⠢⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢀⣠⣹⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠈⠀⢻⡟⠀⠀⠀⠀⢸⡇⠀⠀⠀⠘⠏⠀⠀⠀⠀⠀⠘⠳⡜⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣀⣈⣹⣿⡿⠟⢻⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠈⠙⢿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠟⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣁⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⢀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣼⣿⣿⢀⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣦⣿⣿⣷⣶⡄⣠⣶⣶⣦⣠⣶⣶⣶⣠⣶⣶⣦⡀⣿⣿⢻⣿⡇⣿⣿⢿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⣿⣿⣿⣿⣿⢸⣿⡇⢿⣿⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⡿⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⡇⣿⣿⣿⣿⣸⣿⡇⣶⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣸⣿⡇⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠃⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠉⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠉⠻⠏⠘⠃⠀⠀⠘⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡀⠀⠀⣤⣤⣤⣤⣤⠀⠀⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⢠⣤⣤⡄⠀⢠⠀⢠⠀⠀⢠⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⢹⣿⠀⣾⡏⠉⣿⡏⠉⣿⡆⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣀⣿⣇⣸⣿⣀⣿⣇⣀⣿⣇⣀⣿⣷⣿⡷⠶⣿⡗⣿⣷⠶⠟⠁⢸⣿⠀⠀⣀⣾⣿⣶⣾⣿⣂⣿⣷⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠝⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡻⣿⣿⣿⣿⣿⣿⡯⢹⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠁⢠⡄⠀⠀⠈⣨⣍⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠿⣿⣿⣿⣿⣿⣷⣾⣿⠀⠀⠀⠠⠀⠀⠀⠀⠀
⠁⠠⣟⢿⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡉⠁⠀⠀⠈⠀⠀⢘⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢠⢿⢼⠀⠀⠉⠙⠟⣯⣿⣿⣿⠋⠁⠀⠀⠀⠀⠀⠀⠶⢿⣷⡹⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠉⠉⠙⠿⠿⣿⣿⡿⢻⣿⡿⠟⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠈⠇⠀⠀⠀⠀⣽⣿⣿⣷⠈⠂⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣹⣿⣥⠉⠁⠀⠘⠀⠹⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣄⣷⡶⠂⠰⠀⠀⠙⠟⠃⣞⡁⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⡀⠀⠀⣤⢦⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠐⠶⢶⣴⣿⣷⠉⠛⠁⠀⠀⠀⠀⠐⠛⠛⠉⠀⠈⣹⣿⣿⡟⢸⣿⡿⣼⣷⣿⣿⠉⣭⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⡏⣿⢋⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠉⠁⠀⠛⣠⣸⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠐⠄⢴⣶⣟⠃⣿⣦⣄⠀⠀⠀⠀⠀⡂⣤⣾⠇⠐⢿⣿⣿⣃⠂⢸⡿⠇⠈⢡⡟⣿⣦⠁⠀⠸⡏⠳⠀⠀⠀⠀⠀⠀⠀⠣⠛⠚⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣇⠀⠀⠀⠀⢤⣾⣿⣿⡋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⢹⠉⠻⣷⣄⡀⠀⠀⠀⠀⣶⣶⠄⠀⠉⠙⠂⠀⣸⣷⠀⠀⠀⠁⣿⡟⣄⢀⢰⣇⠚⢀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠋⠀⠀⠀⠀⠚⠓⠭⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢀⣀⣰⣿⣿⣶⣤⡀⠀⠉⠀⠀⠀⠀⠀⠂⠀⣿⡟⠀⠀⠀⠀⢻⠁⠀⠀⠀⠿⠀⠀⠀⠀⠀⠀⠓⢦⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⣉⣉⣹⣿⡿⠿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠀⠀⠈⠹⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠫⠟⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣀⣀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⢀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣼⣿⣿⢁⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣦⣿⣿⣷⣶⡄⣠⣶⣶⣦⣠⣶⣶⣶⢠⣶⣶⣦⡀⣿⣿⢻⣿⡇⣿⣿⢿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⡿⣿⣿⣿⣿⢸⣿⡇⢿⣿⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⣿⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⡇⣿⣿⣿⣿⣸⣿⡇⣶⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣸⣿⡇⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠃⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠉⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠉⠻⠇⠘⠃⠀⠀⠘⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡀⠀⠀⣤⣤⣤⣤⣤⠀⠀⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⢠⣤⣤⡄⠀⢠⠀⢠⠀⠀⢠⡀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⢹⣿⠀⣾⡏⠉⣿⡏⠉⣿⡆⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⡇⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣀⣿⣇⣸⣿⣀⣿⣇⣀⣿⣇⣀⣿⣷⣿⡷⠶⣿⡗⣿⣗⠶⠟⠁⢸⣿⠀⢀⣀⣾⣿⣶⣾⣿⣂⣿⣷⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡟⠉⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⡏⣤⡁⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⠉⢀⡀⠀⠀⠀⣉⣙⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠸⢿⣿⣿⣿⣿⣿⣡⣾⠄⠀⠀⠀⠀⠀⠀⠀⠀
⠉⠉⣿⠿⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠁⠀⠀⠉⠀⠀⢚⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀
⠠⢠⣾⣦⡂⠀⠉⠉⠻⢷⢿⣿⣿⠛⠀⠀⠀⠀⠀⠀⠀⠴⢿⣯⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠉⠉⠙⠿⠿⢷⣿⣿⠛⣿⡿⠟⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠇⠀⠀⠀⠀⢸⣿⣿⣿⠘⠄⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⢻⣿⣫⠉⠉⠀⠙⠀⠙⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢰⣶⠆⠠⠀⠀⠘⠿⠛⢸⢁⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⡀⠀⢀⣤⡤⢿⣿⣟⠁⠀⠀⠀⠀⠀⠀⠀⠰⢶⣶⣵⣾⣷⠊⠙⠃⠀⠀⠀⠀⠐⠂⠚⠋⠁⠀⢉⣿⣿⣿⠏⣿⣿⡿⣾⣿⣿⡏⣩⣟⣿⣇⠀⠀⠀⠀⠀⠀⠀⠈⣟⢹⡟⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠙⠁⠀⢚⣁⣹⣵⠿⠃⠀⠀⠀⠀⠀⠀⠀⠢⠄⢤⣤⡿⠃⣿⣧⡀⠀⠀⠀⠀⢀⢤⠤⣰⡎⠀⠺⣿⣿⣿⠃⠀⢸⢹⠁⠙⢻⣿⣷⠉⠀⠉⣿⠐⠆⠀⠀⠀⠀⠀⠀⠙⠜⠓⠻⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢄⠀⠀⠀⠀⢠⣾⣿⣟⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠁⠀⠃⠙⠿⣷⣄⠀⠀⠀⠀⠀⢡⣶⡦⠀⠈⠙⠉⠁⠀⢸⢸⠀⠀⠈⢸⣿⠁⠀⡀⣿⡐⠂⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠟⠀⠀⠀⠀⠛⠢⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣻⣷⣦⣄⡀⠀⠈⠉⠀⠀⠀⠀⠀⠄⠀⣿⠛⠀⠀⠀⠘⡟⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠘⢠⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢏⣉⣉⢹⣿⡿⠿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠈⠉⠛⠀⠀⠈⠻⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⢀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣼⣿⣿⢁⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣦⣿⣿⣷⣶⡄⣠⣶⣶⣦⢠⣶⣶⣶⣠⣶⣶⣦⡀⣿⣿⢻⣿⡇⣿⣿⢿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⣏⣿⣿⣿⣿⢸⣿⡇⢿⣿⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⣿⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⡇⣿⣿⣿⣿⣸⣿⡇⣶⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣸⣿⡇⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠃⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠉⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠉⠻⠏⠘⠃⠀⠀⠘⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡀⠀⠀⣤⣤⣤⣤⣤⠀⠀⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⢠⣤⣤⡄⠀⢠⠀⢠⠀⠀⢠⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⢹⣿⠀⣾⡏⠉⣿⡏⠉⣿⡆⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢀⣿⣇⣸⣿⣀⣿⣇⣀⣿⣇⣀⣿⣷⣿⡷⠶⣿⡗⣿⣗⠶⠟⠁⢸⣿⠀⠀⢀⣾⣿⣶⣾⣿⣂⣿⣶⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠁⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⠉⣉⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠉⠀⢀⠀⠀⠀⠀⠀⡛⢻⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢿⣿⣿⣿⣿⣿⣿⣀⣿⠁⠀⠀⢀⠀⠀⠀⠀
⠀⠈⢼⠹⠋⠛⣿⣿⣿⣿⣿⣿⣿⡿⠉⠉⠀⠀⠀⠉⠀⠀⠰⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀
⠀⠄⡰⡇⠀⠀⠈⠛⠛⢿⣹⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⢤⣾⣎⢛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠋⠛⠻⠿⢷⣶⣿⣿⢻⣿⠿⠋⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠁⠁⠀⠀⠀⠀⠀⣿⣿⡿⠐⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣶⣿⠟⢿⣟⡉⠙⠋⠉⠑⠀⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⣤⡤⠀⠠⠀⠀⠻⡿⠇⢜⠀⢀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⠀⢼⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣡⣹⣯⡀⠉⠻⠁⠀⠀⠀⠀⠒⠲⠟⠁⠀⠉⣻⣿⣿⣿⠟⢿⣿⣿⣼⣽⣿⡟⣙⣳⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⡟⢰⠟⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠈⠓⠀⠀⠋⣁⣾⠟⠃⠀⠀⠀⠀⠀⠀⠀⢀⠀⢀⣩⣿⠋⣿⢦⡀⠀⠀⠀⠀⠀⢠⣀⢠⣶⠀⠀⢴⣿⣿⡿⠃⠀⠘⡟⡇⠻⢋⢿⣿⠉⠉⠹⡇⢠⠀⠀⠀⠀⠀⠀⠀⠃⠼⠒⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠐⠀⠀⠀⢀⣤⣶⣿⣛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠃⠀⠇⠈⠛⣶⣄⠀⠀⠀⠀⠀⠉⢁⣤⡄⠀⠙⠟⠃⠀⠀⠀⡇⣇⠀⠘⢻⣿⠄⠀⢠⡇⠰⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠸⠀⠀⠀⠐⠿⠤⠅⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⣦⣀⠀⠀⠀⠛⠋⠁⠀⠀⠀⠀⠀⠀⠐⣷⠎⠀⠀⠀⣿⠀⠈⠀⣿⠀⠀⠀⠀⠀⠀⠶⣀⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠉⠙⢻⣿⣿⣿⣿⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠟⠁⠀⠈⠻⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣃⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⢀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣼⣿⣿⢁⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣆⣿⣿⣷⣶⡄⣠⣶⣶⣦⠀⣶⣶⣶⢠⣶⣶⣦⡀⣿⣿⢻⣿⡇⣿⣿⢿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⣏⣿⣿⣿⣿⢸⣿⡇⢿⣷⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⡇⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⡇⣿⣿⣿⣿⣸⣿⡇⣶⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣸⣿⡇⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠃⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠉⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠉⠻⠇⠘⠃⠀⠀⠘⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡀⠀⠀⣤⣤⣤⣤⣤⠀⠀⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⢠⣤⣤⡄⠀⢠⠀⢠⠀⠀⢠⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⢹⣿⠀⣾⡏⠉⣿⡏⠉⣿⡆⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢀⣿⣇⣸⣿⣀⣿⣇⣀⣿⣇⣀⣿⣷⣿⡷⠶⣿⡗⣿⣗⠶⠟⠁⢸⣿⠀⠀⠀⣾⣿⣶⣾⣿⣂⣿⣶⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠀⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⡁⢘⡄⠀⠀⠀⠀⠀⠀⠀
⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠉⢀⠀⠀⠀⠀⠀⠛⢻⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⢸⣿⣿⣿⣿⣿⣿⣀⢸⡇⠀⠀⠀⠀⠀⠀⠀
⠈⠈⢩⠗⡏⠻⢿⣿⣿⣿⣿⣿⣿⡯⠉⠁⠀⠀⠈⠁⠀⠀⠰⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣾⣿⣿⣿⣿⣾⠿⢿⣆⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣧⢀⠀⠈⠛⠛⠻⡿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀⣠⣼⣎⠻⡿⣿⣿⣽⣿⣿⣿⣿⡷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡿⠛⠛⠛⠿⡷⣶⣾⣿⠿⣿⠿⠛⠀⠀⠘⠋⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠉⠐⠀⠀⠀⠀⠀⣷⣿⡿⠠⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣤⣿⡿⢻⣿⡋⠛⠋⠉⠉⠈⢻⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⢠⣤⠀⠀⠀⠀⠘⣿⠿⢠⠁⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣩⢙⣏⡀⠈⠻⠁⠀⠀⠀⠀⠀⠰⠟⠋⠀⠀⢻⣿⣿⣿⡿⢻⣿⣿⢭⣯⣿⣿⢛⣿⣾⡏⠀⠀⠀⠀⠀⠀⠀⠈⣿⠋⡾⢿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠈⠓⠀⠀⠀⣁⣤⠟⠃⠀⠀⠀⠀⠀⠀⠀⢀⠀⢉⣉⣿⠏⣟⢃⡀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠄⠀⢠⣼⣿⣿⠟⠀⠈⢿⣿⠸⠟⣹⣿⠜⠉⠙⣿⠠⡄⠀⠀⠀⠀⠀⠀⠛⠰⠓⠻⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⠀⠀⠀⠀⣤⢾⣟⣋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠃⠀⠇⠀⢻⣶⣄⠀⠀⠀⠀⠀⠈⠉⣀⣀⠀⠙⠻⠏⠀⠀⠀⠸⠘⡄⠘⠗⣿⣇⠀⠀⣿⠠⠄⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠂⠀⠀⠐⠧⢤⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⣷⣤⣀⠀⠀⠀⠘⠛⠋⠀⠀⠀⠀⠀⠀⠀⠰⣷⠇⠀⠀⢹⡟⠀⠀⢿⠃⠀⠀⠀⠀⠀⠰⢀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠉⠛⢻⣿⣿⡿⢳⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⡌⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠝⠃⠀⠈⠛⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⠿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣁⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⢀⣠⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣼⣿⣿⢃⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣦⣿⣿⣷⣶⡄⣠⣶⣶⣦⠀⣶⣶⣶⢠⣶⣶⣦⡀⣿⣿⢻⣿⡇⣿⣿⢿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⣇⣿⣿⣿⣿⢸⣿⡇⢿⣿⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⡇⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⡇⣿⣿⣿⣿⣸⣿⡇⣶⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣸⣿⡇⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠃⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠉⠻⠏⠘⠃⠀⠀⠘⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡀⠀⠀⣤⣤⣤⣤⣤⠀⠀⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⢠⣤⣤⡄⠀⢠⠀⢠⠀⠀⢀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⢹⣿⠀⣾⡏⠉⣿⡏⠉⣿⡆⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡀⢀⣿⣇⣸⣿⣀⣿⣇⣀⣿⣇⣀⣿⣷⣿⡷⠶⣿⡗⣿⣗⠶⠟⠁⢸⣿⠀⠀⠀⣾⣿⣶⣾⣿⣂⣿⣶⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣏⠀⡓⠀⠀⠀⠀⠀⠀⠀
⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠁⠈⠁⠀⠀⠀⠀⠀⠙⢻⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠸⣿⣿⣿⣿⣿⣿⣇⣀⡏⠀⠀⠀⢀⠀⠀⠀
⠀⠘⢻⠃⡏⠙⣿⣿⣿⣿⣿⣿⣿⠛⠉⠀⠀⠀⠀⠁⠀⠀⠰⣾⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢸⣿⣿⣿⣿⡽⠿⢿⣧⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣶⢀⠀⠈⠛⠛⢿⡟⣿⣿⠢⠀⠀⠀⠀⠀⠀⠀⣀⣰⣎⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠛⢿⣿⣶⣴⣿⡿⢿⡿⠛⠁⠀⠜⠛⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠈⠈⠀⠀⠀⠀⠀⠀⣿⣿⠿⠠⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣤⣿⣿⠿⡿⡛⠛⠛⠋⠱⠀⠸⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢀⣀⡀⠀⡀⠀⠀⢿⡿⠃⡈⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠉⢙⣏⠁⠀⠿⠁⠀⠀⠀⠀⠀⠀⠾⠋⠀⠀⠙⣿⣿⣿⡟⠹⣿⣿⣍⣟⣻⣿⢛⡻⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⢷⠛⢷⠿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠓⠀⠀⣀⣣⣼⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣉⣽⠏⣿⣃⡀⠀⠀⠀⠀⠀⢀⣀⢀⣠⠀⠀⢀⣬⣿⣿⠟⠉⠀⢻⣿⡞⡿⢻⣿⡞⠁⠋⣿⠄⣀⠀⠀⠀⠀⠀⠀⠘⠁⠖⠸⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⣰⣾⣿⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠟⠏⠀⠇⠀⠙⢦⣄⠀⠀⠀⠈⠀⠈⠀⣀⠀⠈⠻⠿⠏⠀⠀⠀⠈⡎⢇⠀⠿⢿⣧⠀⠀⣼⠀⡄⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠁⠀⠀⠘⠳⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣤⣀⡀⠀⠀⠐⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⢴⡾⡀⠀⢸⣿⠀⠀⢹⡇⠀⠀⠀⠀⠀⢠⡄⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠉⠙⢻⣿⡿⡿⢿⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⡀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠟⠃⠀⠈⠛⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⡿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⢀⣠⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣼⣿⣿⢁⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣦⣿⣿⣷⣶⡄⣠⣶⣶⣦⠀⣶⣶⣶⢠⣶⣶⣦⡀⣿⣿⢻⣿⡇⣿⣿⢻⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⣏⣿⣿⣿⣿⢸⣿⡇⢿⣷⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⡇⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⡇⣿⣿⣿⣿⣸⣿⡇⣶⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣸⣿⡇⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠃⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠉⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠉⠻⠇⠘⠃⠀⠀⠘⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣤⣤⡀⠀⠀⣤⣤⣤⣤⣤⠀⠀⠀⣤⣤⣤⡀⠀⣠⣤⣤⡄⠀⢠⣤⣤⡄⠀⢠⠀⢠⠀⠀⢀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⢹⣿⠀⣾⡏⠉⣿⡏⠉⣿⡆⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡀⠀⣿⣇⣸⣿⣀⣿⣇⣀⣿⣇⣀⣿⣷⣿⡷⠶⣿⡗⣿⣗⠶⠟⠁⢸⣿⠀⠀⠀⣾⣿⣶⣾⣿⣂⣿⣶⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠁⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠋⠀⣿⣿⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⠁⢉⠁⠀⠀⠀⠀⠀⠀
⠀⢼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠀⠈⠀⠀⠀⠀⠀⠀⠙⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⠃⢿⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠃⡏⠛⠙⠿⣿⣿⣿⣿⣿⣿⠉⠁⠀⠀⠀⠀⠁⠀⠀⠠⢶⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⠿⠻⣿⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣰⠀⠀⠀⠛⠛⠿⡏⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣀⣰⣌⠿⠿⢿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠿⠛⠛⢻⣿⣶⣤⣾⡿⢿⣿⠟⠃⠀⠜⠛⠃⠀⠀⠀⠀⠀⠀
⠀⠀⠈⠈⠀⠀⠀⠀⠀⠀⢸⣸⠿⠠⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣤⣿⣿⠿⣿⠟⠛⠛⠛⠛⠀⠪⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⡀⠀⠀⠀⠀⢿⣿⠇⣈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⢁⠙⡟⢃⠀⠹⠛⠀⠀⠀⠀⠀⠀⠼⠛⠀⠀⠙⣿⣿⣿⣿⠻⣿⢻⣟⣿⢿⣿⠟⡿⢷⣿⠁⠀⠀⠀⠀⠀⠁⠀⢸⡿⢩⡾⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠲⠀⠀⣀⣡⡶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⣿⠟⢿⠫⡀⠀⠀⠀⠀⠀⠀⢀⠀⢀⠀⠀⠀⣀⣿⣿⡿⠋⠀⢻⣿⡯⣿⢻⣿⡆⠋⠘⢿⡆⢀⠀⠀⠀⠀⠀⠀⠈⠃⡴⠠⢿⠃⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⣴⢿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠛⠋⠀⠚⠀⠙⢦⣄⠀⠀⠀⠀⠀⠈⠁⠀⠀⠘⠻⣿⣿⠀⠀⠀⠀⠊⢃⠀⣾⢿⣷⠀⠀⣸⡇⢨⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠚⠢⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⣤⣀⡀⠀⠀⠰⡿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠨⣼⣇⠀⢹⡿⡇⠀⠈⡷⠀⠀⠀⠀⠀⠀⡄⠀⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡏⠉⠙⠻⣿⡿⣿⢿⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠈⠀⠀⠑⠃⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠰⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠟⠃⠀⠈⠙⢿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⡿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⢀⣠⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣼⣿⣿⢁⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣆⣿⣿⣷⣶⡄⣠⣶⣶⣦⡀⣶⣶⣶⢠⣶⣶⣦⡀⣿⣿⢻⣿⡇⣿⣿⢻⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⣯⣿⣿⣿⣿⢸⣿⡇⢿⣷⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⡇⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⡇⣿⣿⣿⣿⣸⣿⡇⣶⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣸⣿⡇⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠃⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠉⠻⠇⠐⠃⠀⠀⠘⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣤⣤⡀⠀⠀⣤⣤⣤⣤⣤⠀⠀⠀⣤⣤⣤⡀⠀⣠⣤⣤⡄⠀⢠⣤⣤⡄⠀⢀⠀⢠⠀⠀⢀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⠉⣿⠀⣾⡏⠉⣿⡏⠉⣿⠀⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡀⠀⣿⣇⣀⣿⣀⣿⣇⣀⣿⣇⣀⣿⡰⣿⡷⠶⣿⡗⣿⣗⠶⠟⠁⢸⣿⠀⠀⠀⢾⣿⣶⣾⣿⣂⣿⣶⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⢛⠋⠀⣿⣿⠛⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡉⠉⠁⠀⠀⠀⠀⠀⠀
⠄⢱⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠈⠀⠀⠀⠀⠀⠀⠘⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⡇⢘⡅⠀⠀⠀⠀⠀⠀
⠀⠀⠛⡏⠹⠙⠛⣿⣿⣿⣿⣿⣟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠠⢾⣿⣷⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢹⣿⣿⣿⣟⠋⠘⢳⣇⠀⠀⠀⠁⠀⠀
⠀⠀⠀⢠⠀⠀⠀⠻⠿⠿⣟⢹⡟⠀⠀⠀⠀⠀⠀⠀⠀⣀⣰⣌⠿⠿⢿⣿⣿⣻⣿⣿⣿⣿⣵⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠻⠿⣿⣷⣤⣤⣿⡿⣿⡿⠋⠀⠐⠟⠛⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⢘⡾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣄⣶⣿⣿⢿⡿⠿⠿⠟⠛⠉⠩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣛⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠸⣿⣿⠁⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠉⠈⡟⠛⠀⠈⠞⠀⠀⠀⠀⠀⠀⠠⠟⠃⠀⠘⢿⣿⣿⣿⢿⣿⢿⡞⡿⢿⣿⡿⠿⠷⣼⡇⠀⠀⠀⠀⠀⠈⠀⠀⣷⠞⣵⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠠⠀⠀⣀⠐⠆⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⣳⡖⣿⡚⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⡿⠃⠀⢻⣾⣼⣿⢿⣿⠀⠘⠀⠻⣧⠀⡀⠀⠀⠀⠀⠀⠀⠹⢀⡇⢴⡿⠀⠀⠀⠀⠀⠀⠀⠀
⠀⡀⠀⠀⢠⡼⡿⢍⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠛⠋⠀⠙⠀⠙⠦⣄⠀⠀⠀⠀⠀⠀⠈⠀⠀⠺⢿⣿⠏⠁⠀⠀⠀⠙⡇⠁⡌⣿⣆⠀⠀⢀⡿⠀⡅⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠛⠢⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣷⣤⣀⡀⠀⠀⢠⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠠⣸⡄⠀⢿⣿⠀⠀⠀⣻⠂⠀⠀⠀⠀⠀⢀⠀⢠⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢏⡉⠉⠙⣿⡿⣿⠿⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠑⠀⠘⠿⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠈⠉⠙⠃⠀⠀⠙⢻⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠟⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣁⠀⢀⣤⣤⣈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣼⣿⣿⢁⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣦⣿⣿⣷⣶⡄⣠⣶⣶⣦⡀⣶⣶⣶⢠⣶⣶⣦⡀⣿⣿⢹⣿⡇⣿⣿⢻⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⣟⣿⣿⣿⣿⢸⣿⡇⢿⣷⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⡇⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⡏⣿⣿⣿⣿⣸⣿⡇⣶⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣸⣿⡇⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠃⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠉⠻⠇⠀⠃⠀⠀⠘⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣤⣤⡀⠀⠀⣤⣤⣤⣤⣤⠀⠀⠀⣤⣤⣤⡀⠀⣠⣤⣤⡄⠀⢠⣤⣤⡄⠀⢀⠀⢠⠀⠀⢀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⠉⣿⠀⣾⡏⠉⣿⡏⠉⣿⠀⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡀⠀⣿⣇⣀⣿⣀⣿⣇⣀⣿⣇⣀⣿⡰⣿⡷⠶⣿⡗⣿⣗⠶⠟⠁⢸⣿⠀⠀⠀⢾⣿⣶⣾⣿⣂⣿⣶⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢛⠋⠀⣿⣿⠛⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⠁⠀⠀⠀⠀⠀⠀
⠀⠜⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡉⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢸⣿⣿⣿⣿⣿⣿⡗⢘⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠛⡟⠹⠛⠛⢿⣿⣿⣿⣿⣏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠠⢾⣿⣷⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢹⣿⣿⣿⣟⠉⠙⢳⣇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢠⡀⠀⠀⠛⠿⠿⣟⢹⡏⠀⠀⠀⠀⠀⠀⠀⠀⣀⣰⣌⠻⠿⢿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠻⠿⣿⣷⣤⣤⣿⡿⣿⡿⠋⠀⠐⠛⠛⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠘⡾⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣀⣶⣿⣿⢿⡿⠿⠿⠟⠛⠁⠱⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣻⣿⣿⣿⡄⢀⠀⠀⠀⠀⠀⠸⣿⣿⠀⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠉⠙⡟⠛⠁⠸⠞⠀⠀⠀⠀⠀⠀⢨⠟⠃⠀⠘⢻⣿⣿⣿⢿⣿⢿⡛⡿⣿⣿⡿⠟⠿⣼⡇⠀⠀⠀⠀⠀⠈⠀⠀⣳⠎⣥⣾⣷⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠠⠀⠀⣀⡀⠄⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⣿⠟⣿⡐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⡿⠃⠀⢻⣿⣹⣿⢿⣿⠀⠘⠀⠻⣧⠀⡀⠀⠀⠀⠀⠀⠀⠹⢀⡏⢴⡟⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢠⠾⣾⣭⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠟⠉⠀⠈⠀⠙⠶⣄⠀⠀⠀⠀⠀⠀⠃⠀⠀⠸⢿⣿⡏⠀⠀⠀⠈⡙⣇⠁⡬⣿⣆⠀⠀⢀⣿⠀⡅⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠛⠢⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣷⣤⣀⡀⠀⠀⢠⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡄⠀⢿⢿⠀⠀⠀⣳⠂⠀⠀⠀⠀⠀⢀⠀⢠⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢋⡉⠉⠹⣿⡿⡿⢿⣶⣦⣄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠑⠀⠘⠿⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠈⠉⠛⠃⠀⠀⠙⢻⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠟⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣁⠀⢀⣤⣤⣈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣼⣿⣿⢁⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣦⣿⣿⣷⣶⡄⣠⣶⣶⣦⡀⣶⣶⣶⢠⣶⣶⣦⡀⣿⣿⢹⣿⡇⣿⣿⢿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⣟⣿⣿⣿⣿⢸⣿⡇⢿⣷⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⡇⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⡏⣿⣿⣿⣿⣸⣿⡇⣶⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣸⣿⡇⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠃⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠉⠻⠇⠀⠃⠀⠀⠘⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣤⡀⠀⠀⣤⣤⣤⣤⣤⠀⠀⠀⣤⣤⣤⡀⠀⣠⣤⣤⡄⠀⢠⣤⣤⡄⠀⢠⠀⢠⠀⠀⢀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⢹⣿⠀⣾⡏⠉⣿⡏⠉⣿⠀⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡀⠀⣿⣇⣸⣿⣀⣿⣇⣀⣿⣇⣀⣿⡰⣿⡷⠶⣿⡗⣿⡗⠶⠟⠁⢸⣿⠀⠀⠀⢾⣿⣶⣾⣿⣂⣿⣶⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣣⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠘⠋⠀⣿⣿⠙⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠏⠀⠀⠀⠀⠀⠀
⠁⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠈⠀⠀⠀⠀⠀⠀⠐⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⣿⣿⣿⣿⣿⣿⣇⠀⡼⠀⠀⠀⠀⠀⠀
⠀⠀⠹⣿⠘⠛⠿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠈⠀⠀⠀⢠⣾⣿⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠉⣿⣿⣿⣿⡿⠛⠓⣯⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡄⠀⠀⠙⠻⠿⢟⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡌⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⢿⣿⣤⣠⣼⣿⣿⣿⠟⢁⠀⠸⠿⠇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠆⠃⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⣶⣿⣿⡿⣿⠿⠿⠿⠟⠋⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣇⠉⡀⠀⠀⠀⠉⠈⢿⣿⡇⡈⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠃⠈⡟⠛⠋⠀⢱⠂⠀⠀⠀⠀⠀⠀⡻⠟⠀⠘⢻⣿⣿⡿⣿⡟⣽⠻⢿⣿⣿⣿⠿⠿⣤⣾⠁⠀⠀⠀⠀⠈⠉⠀⢻⡶⢲⣴⣷⡄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠠⡄⢀⠀⠀⠆⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⣻⠆⡏⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⣹⣿⡟⠀⠘⡧⡯⣿⡿⣿⡧⠀⠀⠂⠘⣿⡀⠀⠀⠀⠀⠀⠀⠀⠘⠃⢨⠁⣼⠇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡠⠴⡯⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠙⠛⠉⠀⠇⠀⠙⠳⣄⠀⠀⠀⠀⠀⠀⠂⠃⠀⠾⣿⣿⠋⠀⠀⠀⠁⠋⠈⢡⣽⣧⣀⠀⠀⠀⣸⠃⢘⠀⠀⠀⠀⠀⠀⠀⣀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠈⠓⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⣦⣀⡀⠀⠀⣀⣤⠀⠀⠈⠉⠀⠀⠀⠀⠀⠰⠀⠀⠸⣿⠛⠓⠀⠀⢹⡆⠈⠀⠀⠀⠀⠀⡀⠀⣬⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢏⣉⣉⣹⣿⡿⡿⠻⣶⣶⣍⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠁⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠟⠁⠀⠀⠉⢻⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠟⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⢀⣤⣤⣀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣼⣿⣿⢁⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣦⣿⣿⣷⣶⡄⣠⣶⣶⣦⠀⣶⣶⣶⢠⣶⣶⣦⡀⣿⣿⢹⣿⡇⣿⣿⢿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⡿⣿⣿⣿⣿⢸⣿⡇⢿⣷⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⡇⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⡇⣿⣿⣿⣿⣸⣿⡇⣶⣟⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣸⣿⡇⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠃⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠉⠻⠇⠘⠃⠀⠀⠘⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣤⣤⡀⠀⠀⣤⣤⣤⣤⣤⠀⠀⠀⣤⣤⣤⡀⠀⣠⣤⣤⡄⠀⢠⣤⣤⡄⠀⢀⠀⢠⠀⠀⢀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⢹⣿⠀⣾⡏⠉⣿⡏⠉⣿⠀⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡀⠀⣿⣇⣸⣿⣀⣿⣇⣀⣿⣇⣀⣿⡰⣿⡷⠶⣿⡗⣿⡗⠶⠛⠁⢸⣿⠀⠀⠀⢾⣿⣶⣾⣿⣂⣿⣶⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀
⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠘⠋⠀⣿⣿⠉⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠋⠃⠀⠀⠀⠀⠀
⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⣿⣿⣿⣿⣿⣿⣿⠁⢰⠄⠀⠀⠀⠀⠀
⠀⠀⠰⠿⠈⠛⠻⢿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣞⣷⡶⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠈⣿⣿⣿⣿⡟⠛⠒⣍⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡀⠀⠀⠘⠿⠻⠿⠱⡆⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡌⠣⠭⢿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⢿⣿⣤⣀⣰⣿⣿⣿⠟⠁⠀⠰⠿⠇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣍⠀⣶⣿⣿⣿⣿⠿⠿⠿⠿⠋⠁⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣯⠉⠀⠀⠀⠀⠉⠉⢹⣿⡿⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⡋⠛⠋⠀⢡⠖⠀⠀⠀⠀⠀⠈⡹⠿⠉⠈⢻⣿⣿⡿⣿⢏⡍⢿⣿⣿⣿⣿⣿⢿⣆⣴⠀⠀⠀⠀⠀⠈⠉⠀⠸⣤⢔⣴⣷⡄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠠⠄⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣹⠞⡇⠂⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡟⠀⠥⢸⡗⣿⣾⣿⡏⠀⠀⠂⠸⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢨⡉⣸⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡠⢺⠯⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠋⠉⠀⡇⠀⠙⠳⣄⠀⠀⠀⠀⠀⠀⠐⠀⠠⢶⣾⡿⠉⠀⠀⠀⠈⠀⠈⢠⣹⡇⣀⠀⠀⠀⢸⠇⢘⠁⠀⠀⠀⠀⠀⠀⢀⠈⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠈⠓⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠘⣷⣦⣀⡀⠀⠀⣀⣄⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⢸⡇⠙⠓⠀⠀⢹⡆⠈⠀⠀⠀⠀⠀⠀⠀⣨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⣈⣉⣹⣿⡿⠿⠻⣶⣾⣭⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠁⢠⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠁⠀⠀⠈⠻⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⢀⣤⣤⣀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣼⣿⣿⢁⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣦⣿⣿⣷⣶⡄⣠⣶⣶⣦⠀⣶⣶⣶⢠⣶⣶⣦⡀⣿⣿⢹⣿⡇⣿⣿⢻⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⡿⣿⣿⣿⣿⢸⣿⡇⢿⣷⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⡇⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⡇⣿⣿⣿⣿⣸⣿⡇⣶⣟⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣸⣿⡇⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠃⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠉⠛⠇⠀⠃⠀⠀⠘⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣤⣤⡀⠀⠀⣤⣤⣤⣤⣤⠀⠀⠀⣤⣤⣤⡀⠀⣠⣤⣤⡄⠀⢠⣤⣤⡄⠀⢀⠀⢠⠀⠀⢀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⢹⣿⠀⣾⡏⠉⣿⡏⠉⣿⠀⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡀⠀⣿⣇⣸⣿⣀⣿⣇⣀⣿⣇⣀⣿⡰⣿⡷⠶⣿⡗⣿⡗⠶⠛⠁⢸⣿⠀⠀⠀⢾⣿⣶⣾⣿⣂⣿⣶⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⡟⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀
⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠘⠋⠀⣿⣿⠉⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠋⠉⠀⠀⠀⠀⠀
⠁⠀⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⢽⣿⣿⣿⣿⣿⣿⡃⠰⡄⠀⠀⠀⠀⠀
⠀⠀⠱⠺⠃⠛⠛⢿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣎⣽⡇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠈⣽⣿⣿⣿⣿⠛⠛⢺⡂⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡀⠀⠀⠀⠾⠿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡘⠲⠭⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣧⣀⣴⣿⣿⣿⡿⠋⠀⠰⠻⠷⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡅⠀⡷⣿⣿⣿⣿⠿⠿⠿⠿⠏⠉⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠁⠀⠀⠀⠉⠉⢹⣿⣿⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡠⠀⠀⡃⠛⠏⠁⢵⠖⠀⠀⠀⠀⠀⠀⢹⠿⠁⠈⠻⣿⣿⠿⣿⢋⠫⣿⣿⣿⣿⣿⣿⠿⣆⣰⠀⠀⠀⠀⠀⠀⠉⠁⠸⣠⢔⣢⣶⡆⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣫⠆⡇⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠏⠀⠝⢼⢰⣷⢾⣿⠁⠀⠀⠠⠐⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠏⢀⡉⣸⡟⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⠔⠒⠢⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠁⠀⡇⠀⠉⠳⣄⠀⠀⠀⠀⠀⠀⠀⠂⠠⣶⣾⠟⠁⠀⠀⠀⠸⠀⠉⢨⣻⠀⢀⠀⠀⠀⢈⡇⢀⠃⠀⠀⠀⠀⠀⠀⢀⡈⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠈⠁⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣀⡀⠀⠘⣷⣦⣄⡀⠀⠀⣀⡀⠀⠈⠉⠂⠀⠀⠀⠀⠰⠀⠀⠈⢸⡇⠙⠓⠀⠀⠘⣧⠈⠀⠀⠀⠀⠀⢀⠀⢨⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⣈⣉⣹⣿⡟⠻⠻⣷⣾⣯⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠈⠰⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠁⠀⠀⠉⠹⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠋⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⣀⣤⣤⣀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣼⣿⣿⢁⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣦⣿⣿⣷⣶⡄⣠⣶⣶⣦⠀⣶⣶⣶⢠⣶⣶⣦⡀⣿⣿⢹⣿⡇⣿⣿⢿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⣟⣿⣿⣿⣿⢸⣿⡇⢿⣷⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⡇⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⡇⣿⣿⣿⣿⣸⣿⡇⣶⣟⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣸⣿⡇⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠃⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠉⠻⠇⠀⠃⠀⠀⠘⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣤⣤⡀⠀⠀⣤⣤⣤⣤⣤⠀⠀⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⢠⣤⣤⡄⠀⢀⠀⢠⠀⠀⢀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⢹⣿⠀⣾⡏⠉⣿⡏⠉⣿⠀⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⠀⣿⣇⣸⣿⣀⣿⣇⣀⣿⣇⣀⣿⡰⣿⡷⠶⣿⡗⣿⡗⠶⠟⠁⢸⣿⠀⠀⠀⢾⣿⢶⣾⣿⣂⣿⣶⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⣿⡟⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀
⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠀⠋⠀⣿⣿⠉⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠉⠀⠀⠀⠀⠀
⠁⠀⡹⠿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢹⣿⣿⣿⣿⣿⣿⡃⠰⡆⠀⠀⠀⠀⠀
⠀⠀⠰⢾⠇⠟⠛⢿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡕⢷⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠈⢹⣿⣿⣿⣿⠻⠓⢲⡆⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡀⠀⠀⠐⠿⠿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢴⡘⠒⠩⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⡿⣿⣧⣀⣠⣾⣿⣿⡿⠏⠀⠠⠾⠿⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠅⠀⡷⣿⣿⣿⣿⠿⠿⠿⠿⠟⠉⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⠉⠁⠀⠀⠀⠉⠉⢹⣿⣿⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⡄⠀⠀⠃⠚⠟⠁⢁⠖⠀⠀⠀⠀⠀⠀⢻⠿⠋⠉⠻⣿⡿⢿⣿⢩⠿⣿⣿⣿⣿⣿⣿⠿⣧⢰⠂⠀⠀⠀⠀⠀⠙⠁⠈⣢⡄⣢⣶⣆⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣽⠚⡆⠠⣄⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⣰⣿⠇⠈⠁⣿⢰⣷⣿⣿⠉⠀⠀⠠⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠾⠀⡍⣀⡿⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⠔⠓⠲⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠁⠀⡇⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣾⠟⠁⠀⠀⠀⠇⠀⠁⣈⣿⠀⢀⠀⠀⠀⠈⡟⠀⠃⠀⠀⠀⠀⠀⠀⠀⡈⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠈⠑⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣀⣀⣀⣘⣷⣦⣄⡀⠀⠀⢀⠀⠀⠉⠛⠀⠀⠀⠀⠀⠄⠀⠀⠁⢿⡀⠘⠓⠀⠀⠘⣧⠈⠀⠀⠀⠀⠀⢀⠀⢀⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⣀⣀⣹⣿⡋⠟⠻⣷⣾⣯⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠈⠐⡌⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠁⠀⠀⠈⠹⢿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⢀⣤⣤⣀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣼⣿⣿⢁⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣦⣿⣿⣷⣶⡄⣠⣶⣶⣦⠀⣶⣶⣶⢠⣶⣶⣦⡀⣿⣿⢹⣿⡇⣿⣿⢿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⡟⣿⣿⣿⣿⢸⣿⡇⢿⣷⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⡇⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⡇⣿⣿⣿⣿⣸⣿⡇⣶⣟⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣸⣿⡇⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠃⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠉⠻⠇⠐⠃⠀⠀⠘⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣤⣤⡀⠀⠀⣤⣤⣤⣤⣤⠀⠀⠀⣤⣤⣤⡀⠀⣠⣤⣤⡄⠀⢠⣤⣤⡄⠀⢀⠀⢠⠀⠀⢀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⠉⣿⠀⣾⡏⠉⣿⡏⠉⣿⠀⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⠀⣿⣇⣀⣿⣀⣿⣇⣀⣿⣇⣀⣿⡰⣿⡷⠶⣿⡇⣿⡗⠶⠟⠁⢸⣿⠀⠀⠀⢾⣿⠶⣾⣿⣂⣿⣶⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⡇⠈⣿⡟⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀
⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠛⠃⠀⠋⠀⣿⣿⠀⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠁⠀⠀⠀⠀
⠀⠀⠉⠿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢹⣿⣿⣿⣿⣿⣿⡗⠀⣦⠀⠀⠀⠀⠀
⠀⠀⠀⠾⡇⠙⠛⠻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡌⢵⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⢹⣿⣿⣿⣿⡟⠛⠲⡌⠀⠀⠀⠀⠀
⠀⠀⠀⠈⡀⠀⠀⠀⠽⠿⡿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⡘⠒⠉⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣷⣀⣀⣺⣿⣿⣿⠟⠀⠀⠾⠿⠆⠀⠀⠀⠀
⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⢠⣧⢿⣿⣿⣿⡾⠿⠿⠿⠿⠙⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡉⠉⠀⠀⠀⠈⠉⠉⣿⣿⡇⠈⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⡄⠀⠀⠃⠘⠿⠉⠀⡴⠀⠀⠀⠀⠀⠀⠙⣿⠏⠉⠹⣿⣿⣿⡟⣻⣿⣿⣿⣿⣿⣿⣿⡿⣷⡀⡂⠀⠀⠀⠀⠀⠙⠋⠀⡗⡀⣒⣴⣦⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣵⢺⠀⢢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠈⠛⢰⠇⣼⣽⣿⡏⠉⠀⠁⠀⠀⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⣙⠁⣿⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡀⠚⠓⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠙⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⠟⠁⠀⠀⢸⠀⠛⠉⢻⡇⠀⠀⠀⠀⠀⠀⡿⠀⠒⠀⠀⠀⠀⠀⠀⠀⡀⠁⠈⠋⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠉⠑⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡸⣿⣦⣄⡀⠀⠀⠀⠀⠙⠿⠇⠀⠀⠀⠀⢀⠀⠀⠘⢹⣧⠀⠘⠓⠀⠀⠀⣷⠀⠁⠀⠀⠀⠀⠀⠀⠀⡙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⣀⣀⣹⣿⡟⠿⠹⣿⣶⣦⡀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠟⠀⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠁⢄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠁⠀⠀⠈⠹⢿⣿⣦⡀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠫⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⢀⣤⣤⣀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣼⣿⣿⢁⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣦⣿⣿⣷⣶⡄⣠⣶⣶⣦⠀⣶⣶⣶⢠⣶⣶⣦⡀⣿⣿⢹⣿⡇⣿⣿⢿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⡟⣿⣿⣿⣿⢸⣿⡇⢿⣷⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⡇⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⡇⣿⣿⣿⣿⣸⣿⡇⣶⣟⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣸⣿⡇⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠃⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠉⠻⠇⠀⠃⠀⠀⠘⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣤⣤⡀⠀⠀⣤⣤⣤⣤⣤⠀⠀⠀⣤⣤⣤⡄⠀⣠⣤⣤⡄⠀⢠⣤⣤⡄⠀⢠⠀⢠⠀⠀⢀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⢹⣿⠀⣾⡏⠉⣿⡏⠉⣿⠀⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⠀⣿⣇⣸⣿⣀⣿⣇⣀⣿⣇⢀⣿⡰⣿⡷⠶⣿⡗⣿⡗⠶⠛⠁⢸⣿⠀⠀⠀⢾⣿⠶⣾⣿⣂⣿⣶⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⣿⡇⠀⣿⡟⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀
⡿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠀⠛⠃⠀⠋⠀⣿⣿⠀⡿⠿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠋⠃⠀⠀⠀⠀
⠁⠀⠈⠿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠈⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠙⣿⣿⣿⣿⣿⣿⣿⠀⢶⠀⠀⠀⠀⠀
⠀⠀⠀⠶⡇⠙⠛⠻⣿⣛⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡌⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⢙⣿⣿⣿⣿⡟⠋⠒⣭⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠨⠿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⡘⠒⠛⣻⣿⣿⣿⠿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣄⣀⣼⣿⣿⣿⠟⠁⠀⠴⠻⡆⠀⠀⠀⠀
⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠅⢠⣧⣽⣿⣿⣿⡾⠷⢿⠿⠿⠉⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠀⠀⠀⠈⠉⠉⣿⣿⡇⠈⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⡄⠀⠀⠁⠘⠿⠉⠉⡶⠀⠀⠀⠀⠀⠀⠙⢿⠟⠉⠻⣿⣿⣿⠿⠷⣿⣾⣿⣿⣿⣿⣿⣿⣷⣀⡔⠀⠀⠀⠀⠀⠘⠋⠁⠗⡀⣒⣴⣦⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⡽⢸⠀⢲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠈⡟⣰⢀⣭⣽⣿⠋⠉⠈⠉⠀⠀⠿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠰⠇⢙⠁⣻⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡀⠐⠓⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠘⠀⠀⠙⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣾⡿⠁⠀⠀⠘⠈⠻⠉⢿⡇⠀⠀⠀⠀⠀⠀⢹⠀⠐⠀⠀⠀⠀⠀⠀⠀⢀⠉⠈⠋⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠉⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠹⣷⣦⣄⡀⠀⠀⠀⠘⠻⠿⠅⠀⠀⠀⠀⠀⠀⠀⠘⢸⡇⠀⠈⠻⠀⠀⠀⢻⠄⠁⠀⠀⠀⠀⠀⠀⠀⣘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣀⣈⣹⣿⡏⠻⠻⣿⣶⣦⡀⠀⠀⠀⠀⠀⠀⠄⠁⠀⠀⠀⠘⠇⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠁⢆⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠁⠀⠀⠈⠹⢿⣿⣦⡀⠀⠀⠀⠸⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⢀⣤⣤⣀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣼⣿⣿⢁⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣦⣿⣿⣷⣶⡄⣠⣶⣶⣦⠀⣶⣶⣶⢠⣶⣶⣦⡀⣿⣿⢹⣿⡇⣿⣿⢿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⡯⣿⣿⣿⣿⢸⣿⡇⢿⣷⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⡇⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⡇⣿⣿⣿⣿⣸⣿⡇⣶⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣸⣿⡇⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠃⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠉⠻⠇⠐⠃⠀⠀⠘⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣤⣤⡀⠀⠀⣤⣤⣤⣤⣤⠀⠀⠀⣤⣤⣤⡀⠀⣠⣤⣤⡄⠀⢠⣤⣤⡄⠀⢀⠀⢠⠀⠀⢀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⢹⣿⠀⣾⡏⠉⣿⡏⠉⣿⠀⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⠀⣿⣇⣸⣿⣀⣿⣇⣀⣿⡇⢀⣿⡰⣿⡷⠶⣿⡇⣿⡗⠶⠟⠁⢸⣿⠀⠀⠀⢾⣿⠶⣾⣿⣂⣿⣶⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡇⠈⣿⡟⣿⣿⣟⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀
⡿⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠛⠃⠀⠋⠀⣿⣿⠀⡿⠟⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⠛⠋⠀⠀⠀⠀
⠀⠀⠉⠻⢿⣿⣿⣿⣿⣿⣿⠿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠈⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠙⣿⣿⣿⣿⣿⣿⣿⠀⢰⠀⠀⠀⠀⠀
⠀⠀⠀⡴⡇⠙⠛⠻⣿⣿⡍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⡈⢿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠙⣿⣿⣿⣿⡿⠛⠒⢯⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠨⠿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⡘⠒⠋⣻⣿⣿⣿⠿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣀⣰⣿⣿⣿⡿⠃⠀⠰⠿⡆⠀⠀⠀⠀
⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠄⢰⣅⣼⣿⣿⣿⣾⢿⣿⠿⠿⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠀⠀⠀⠈⠉⠉⣿⣿⡯⠈⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣤⠄⠀⠀⠁⠀⠿⠋⠉⠠⠀⠀⠀⠀⠀⠀⠙⣿⠟⠉⠹⣿⣿⣿⠿⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⡀⡀⠀⠀⠀⠀⠀⠘⠋⠁⢰⠀⢰⣤⣦⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣨⡴⢸⠀⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⢹⡍⣾⢨⣯⣿⣿⠈⠉⠁⠉⠀⠀⠻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢘⠉⣹⡃⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡀⢚⠥⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠘⠀⠀⠙⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⠟⠁⠀⠀⡏⠈⠿⠹⣿⠀⠀⠀⠀⠀⠀⠀⢹⠀⠐⠀⠀⠀⠀⠀⠀⠀⢀⠈⠀⠛⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠓⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⣦⣀⡀⠀⠀⠀⠘⠻⠿⠁⠀⠀⠀⠀⡀⠀⠀⠘⢿⡄⠀⠀⠿⠂⠀⠀⢻⡄⠈⠀⠀⠀⠀⠀⠀⠀⣘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣍⣉⣉⢹⣿⡟⠟⠻⣷⣶⣤⡀⠀⠀⠀⠀⠀⢠⠀⠁⠀⠀⠀⠘⠇⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠃⢄⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠉⠛⠁⠀⠀⠉⠻⣿⣿⣦⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠋⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⢀⣤⣤⣀⠐⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣼⣿⣿⢂⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣦⣿⣿⣷⣶⡄⣠⣶⣶⣦⠀⣶⣶⣶⢠⣶⣶⣦⡀⣿⣿⢹⣿⡇⣿⣿⢿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⣷⣿⣿⣿⣿⢸⣿⡇⢿⣷⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⡇⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⡇⣿⣿⣿⣿⣸⣿⡇⣶⣟⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣸⣿⡇⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠃⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠉⠻⠇⠐⠃⠀⠀⠘⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣤⣤⠀⠀⠀⣤⣤⣤⣤⣤⠀⠀⠀⣤⣤⣤⡀⠀⣠⣤⣤⡄⠀⢠⣤⣤⡄⠀⢀⠀⢠⠀⠀⢀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⢹⣿⠀⣾⡏⠉⣿⡏⠉⣿⠀⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⠀⣿⣇⣸⣿⣀⣿⣇⣀⣿⡇⢀⣿⡰⣿⡷⠶⣿⡇⣿⡗⠶⠛⠁⢸⣿⠀⠀⠀⢾⣿⠶⣾⣿⣂⣿⣶⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡇⠈⣿⡟⣿⣿⣟⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡂⠀⠀⠀
⡿⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠛⠃⠀⠋⠀⣿⣿⠀⡿⠟⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠛⠀⠀⠀⠀
⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠙⣿⣿⣿⣿⣿⣿⣿⠀⢴⡀⠀⠀⠀⠀
⠀⠀⠀⡴⡧⠙⠛⠻⣿⣟⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⡈⢿⣣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠙⣿⣿⣿⣿⣿⠛⠐⢺⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠬⠿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⡐⠒⠚⢹⣿⣿⣿⡿⢿⣿⣿⣿⡏⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣄⡀⣰⣿⣿⣿⡿⠃⠀⠰⠿⡧⠀⠀⠀⠀
⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣄⣼⣿⣿⣿⣶⣿⣾⡿⠿⠋⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠁⠀⠀⠈⠉⠉⢿⣿⣿⠈⠁⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣤⠄⠀⠈⠀⠀⠿⠋⠁⡠⠀⠀⠀⠀⠀⠀⠘⣿⠏⠉⢹⣿⣿⣿⠿⣶⣷⣾⣿⣿⣿⣿⣿⣿⣿⡀⠄⠀⡀⠀⠀⠀⠈⠋⠁⢰⠀⢰⣤⣦⡄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⢸⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⢹⡋⡾⢨⣍⣿⣿⠉⠋⠀⠉⠀⠀⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢘⠉⢹⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠰⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠸⠀⠈⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⠟⠀⠀⠀⡇⠘⠿⠹⣿⠀⠀⠀⠀⠀⠀⠀⢹⠂⠰⠀⠀⠀⠀⠀⠀⠀⢀⠈⠁⠛⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠐⠂⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⣄⣀⠀⠀⠀⠀⠘⠻⠿⠀⠀⠀⠀⠀⠀⠀⠀⠓⣿⠀⠀⠀⠻⠦⠀⠀⢺⡄⠈⠀⠀⠀⠀⠀⠀⠀⢘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡉⠉⠉⢻⣿⡟⠟⢻⣶⣦⣤⠀⠀⠀⠀⠀⠀⣠⠀⠁⠀⠀⠀⠸⠃⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠂⢠⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠙⠟⠃⠀⠀⠉⢻⣿⣷⣄⠀⠀⠀⠀⠺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⢀⣤⣤⣀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣼⣿⣿⢂⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣦⣿⣿⣷⣶⡄⣠⣶⣶⣦⠀⣶⣶⣶⢠⣶⣶⣦⡀⣿⣿⢹⣿⡇⣿⣿⢿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⡏⣿⣿⣿⣿⢸⣿⡇⢿⣷⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⡇⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⡇⣿⣿⣿⣿⣸⣿⡇⣶⣟⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣸⣿⡇⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠃⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠉⠛⠇⠀⠃⠀⠀⠘⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣤⣤⠀⠀⠀⣤⣤⣤⣤⣤⠀⠀⠀⣤⣤⣤⡀⠀⣠⣤⣤⡄⠀⢠⣤⣤⡄⠀⢀⠀⢠⠀⠀⢀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⠉⣿⠀⣾⡏⠉⣿⡏⠉⣿⠀⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⠀⣿⣇⣀⣿⣀⣿⣇⣀⣿⡇⢀⣿⡰⣿⡷⠶⣿⡇⣿⣗⠶⠛⠁⢸⣿⠀⠀⠀⢾⣿⠶⣾⣿⣂⣿⣶⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡇⠀⣿⡟⣿⣿⡿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀
⡿⠛⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠛⠃⠀⠋⠀⣿⣿⠀⡿⠏⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠻⠟⠁⠀⠀⠀
⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⣿⣿⣿⣿⣿⣿⣿⣧⣰⡄⠀⠀⠀⠀
⠀⠀⠀⠀⡶⠘⠛⠻⢿⢟⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⡨⢿⣰⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠘⣻⣿⣿⣿⣿⠟⠋⠛⠋⠀⠀⠀⠀
⠀⠀⠀⠀⠁⠀⠀⠀⠨⠻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢦⠑⠒⠑⢸⣿⣿⣿⡿⠻⣿⣿⣿⡯⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⣠⣿⣿⣿⡿⠏⠀⠀⢾⣷⠀⠀⠀⠀
⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣄⡠⣿⣿⣿⣷⣿⣾⣿⡿⠟⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠛⠁⠀⠀⠈⠛⠋⢻⣿⣿⠀⠋⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠀⠀⠈⠉⠀⠸⠟⠉⠀⠀⠀⠀⠀⠀⠀⠘⢸⡟⠙⢻⣿⣿⢿⢿⢷⣷⣾⣿⣿⣿⣿⣿⣿⣿⡄⣠⠀⠀⠀⠀⠀⠈⠛⠉⠸⠒⢲⣦⣤⡄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣠⠄⢡⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡋⠉⠋⡎⢠⣭⣿⣿⠀⠉⠉⠉⠁⠀⠹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⢈⠋⢹⣇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⢄⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⢸⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡾⠏⠀⠀⠀⠇⠘⠟⠹⣿⠀⠀⠀⠀⠀⠀⠀⢸⠆⠐⠂⠀⠀⠀⠀⠀⠀⢀⠘⠁⠘⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠠⢄⣀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⢱⣦⣀⠀⠀⠀⠀⠀⠘⠻⠿⠀⠀⠀⠀⠀⠀⠀⠀⠚⢿⠆⠀⠀⠺⠦⠀⠀⢸⡄⠈⠀⠀⠀⠀⠀⠀⠀⢈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠒⠒⠒⢾⣿⣿⣿⢶⣤⣴⣂⠀⠀⠀⠀⠀⠀⢠⠀⠁⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠒⠲⠾⡿⠀⠀⠀⠻⢿⣿⣦⡀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⢀⣤⣤⣀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣼⣿⣿⢄⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣦⣿⣿⣷⣶⡄⣠⣶⣶⣦⠀⣶⣶⣶⢠⣶⣶⣦⡀⣿⣿⢹⣿⡇⣿⣿⢿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⡗⣿⣿⣿⣿⢸⣿⡇⢿⣷⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⡇⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⡇⣿⣿⣿⣿⣸⣿⡇⣶⣟⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣸⣿⡇⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠃⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠉⠻⠇⠀⠃⠀⠀⠘⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣤⣤⠀⠀⠀⣤⣤⣤⣤⣤⠀⠀⠀⣤⣤⣤⡀⠀⣠⣤⣤⡄⠀⢠⣤⣤⡄⠀⢀⠀⢠⠀⠀⢀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⠉⣿⠀⣾⡏⠉⣿⡏⠉⣿⠀⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⠀⣿⡇⣀⣿⣀⣿⣇⣀⣿⡇⢀⣿⡰⣿⡷⠶⣿⡇⣿⣗⠶⠟⠁⢸⣿⠀⠀⠀⢾⣿⠶⣾⣿⣂⣿⣶⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡇⠀⣿⡟⣿⣿⡿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀
⡿⠛⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠛⠃⠀⠋⠀⣿⣿⠀⡿⠟⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⠟⠀⠀⠀⠀
⠁⠀⠀⠙⢿⣿⣿⣿⣿⣿⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⣿⣿⣿⣿⣿⣿⣿⣦⣰⣄⠀⠀⠀⠀
⠀⠀⠀⠀⣶⠘⠛⠻⢿⡛⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⡨⠿⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠘⣻⣿⣿⣿⣿⠟⠛⢻⡋⠀⠀⠀⠀
⠀⠀⠀⠀⠁⠀⠀⠀⠤⠹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢦⠑⠒⠐⢸⣿⣿⣿⡿⢿⣿⣿⣿⡟⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⣠⣿⣿⣿⡿⠛⠀⠀⠾⣷⠀⠀⠀⠀
⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⢰⣄⣠⣿⣿⣿⣷⣷⣾⣿⡿⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠙⠉⠀⠀⠈⠉⠋⢻⣿⣿⠀⠋⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠀⠀⠈⠁⠀⠸⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⢽⡟⠙⢻⣿⣿⢿⢿⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⡄⣠⠀⠀⠀⠀⠀⠈⠛⠉⠸⠒⢲⣦⣤⡄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣠⠆⢸⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢀⣼⡋⠉⠊⡮⢨⣭⣿⣿⠈⠉⠁⠉⠁⠀⠹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⠈⡋⢹⣇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢄⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⢸⠀⠘⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡾⠏⠀⠈⠀⠇⠘⠟⠹⣿⠀⠀⠀⠀⠀⠀⠀⢸⠆⠐⠆⠀⠀⠀⠀⠀⠀⠀⠘⠁⠘⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠠⢄⣀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⢱⣦⣀⠀⠀⠀⠀⠀⠘⠻⠿⠂⠀⠀⠀⠀⠀⠀⠀⠚⣿⠆⠀⠀⠺⠦⠀⠀⢸⡄⠈⠀⠀⠀⠀⠀⠀⠀⢈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠒⠒⠒⢾⣿⣿⣿⢶⣤⣴⣄⠀⠀⠀⠀⠀⠀⢠⠀⠁⠀⠀⠀⠸⠁⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠒⠲⠾⡿⠀⠀⠀⠻⢿⣿⣦⡀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⢀⣤⣤⣀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣼⣿⣿⢄⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣦⣿⣿⣷⣶⡄⣠⣶⣶⣦⠀⣶⣶⣶⢠⣶⣶⣦⡀⣿⣿⢹⣿⡇⣿⣿⢿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⡇⣿⣿⣿⣿⢸⣿⡇⢿⣷⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⡇⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⡇⣿⣿⣿⣿⣸⣿⡇⣶⣟⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣸⣿⡇⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠃⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠉⠻⠇⠈⠃⠀⠀⠘⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣤⣤⠀⠀⠀⣤⣤⣤⣤⣤⠀⠀⠀⣤⣤⣤⡀⠀⣠⣤⣤⡄⠀⢠⣤⣤⡄⠀⢀⠀⢠⠀⠀⢀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⠉⣿⠀⣾⡏⠉⣿⡏⠉⣿⠀⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⠀⣿⡇⢀⣿⣀⣿⣇⣀⣿⡇⢀⣿⡰⣿⡷⠶⣿⡇⣿⡗⠶⠛⠁⢸⣿⠀⠀⠀⢾⣿⠶⣾⣿⣂⣿⣶⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡇⠀⣿⡟⣿⣿⡿⣿⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀
⡿⠋⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠀⠛⠃⠀⠋⠀⣿⣿⠀⡿⠟⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠃⠀⠀⠀
⠁⠀⠀⠘⢿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⢻⣿⣿⣿⣿⣿⣿⣿⢠⣄⠀⠀⠀⠀
⠀⠀⠀⠀⣶⠈⠻⠻⢿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⠈⢿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠘⣻⣿⣿⣿⣿⡿⠋⠙⡏⠀⠀⠀⠀
⠀⠀⠀⠀⠁⠀⠀⠀⠠⠹⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣆⠑⠒⠂⢹⣿⣿⣿⡿⢿⣿⣿⣿⡯⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡀⢀⣿⣿⣿⣿⠟⠁⠀⢾⣷⠀⠀⠀⠀
⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⢰⣤⡠⣿⣿⣿⣷⣾⣾⣿⣿⠟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⠙⠋⠀⠀⠀⠉⠛⢻⣿⣿⠁⠉⠁⠐⠉⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⡤⠀⠀⠈⠉⠀⠸⠟⠉⠁⠈⠉⠀⠀⠀⠀⠈⢿⡿⠹⢻⣿⣿⣿⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⢠⠀⠀⠀⠀⠀⠈⠛⠋⠐⡗⠲⣦⣤⣄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠄⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⣼⡏⠙⡏⣿⢠⣶⣼⣿⡅⠙⠉⠉⠉⠀⠹⢿⡄⠈⠀⠀⠀⠀⠀⠀⠀⢰⠀⡛⠉⣿⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠀⢸⠀⠈⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⡾⠛⠀⠀⠅⠇⠀⠙⠈⣿⡇⠀⠀⠀⠀⠀⠀⠘⡇⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠃⠘⠋⠀⠀⠀⠀⠀⠀
⠀⠀⢀⡀⠈⠉⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠈⢢⣄⡀⠀⠀⠀⠀⠀⠀⠙⠛⠀⠀⠀⠀⠀⡀⠀⠀⠘⢸⡇⠀⠀⠰⠦⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠤⣘⣿⠻⣷⣦⣄⣒⠂⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠐⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⠤⠤⣼⣿⠄⠈⠀⠻⢿⣿⣆⡀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⢀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣼⣿⣿⢀⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣦⣿⣿⣷⣶⡄⣠⣶⣶⣦⠀⣶⣶⣶⢠⣶⣶⣦⡀⣿⣿⢹⣿⡇⣿⣿⢿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⡯⣿⣿⣿⣿⢸⣿⡇⢿⣷⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⡇⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⡇⣿⣿⣿⣿⣸⣿⡇⣶⣟⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣸⣿⡇⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠃⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠉⠛⠇⠀⠃⠀⠀⠘⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣤⣤⠀⠀⠀⣤⣤⣤⣤⣤⠀⠀⠀⣤⣤⣤⡀⠀⣠⣤⣤⡄⠀⢠⣤⣤⡄⠀⢀⠀⢠⠀⠀⢀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⠉⣿⠀⣾⡏⠉⣿⡏⠉⣿⠀⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⡀⣿⡇⣀⣿⣀⣿⣇⣀⣿⡇⢀⣿⡰⣿⡷⠶⣿⡇⣿⡗⠶⠛⠁⢸⣿⠀⠀⠀⢾⣿⠶⣾⣿⣂⣿⣶⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡇⠀⣿⡟⣿⣿⡟⣿⡇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀
⡿⠃⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠛⠃⠀⠋⠀⣿⣿⠀⡿⠏⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠃⠀⠀⠀
⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⢻⣿⣿⣿⣿⣿⣿⣿⢀⣦⠀⠀⠀⠀
⠀⠀⠀⠀⣶⠈⠻⠛⢿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⠈⣿⣰⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠈⢻⣿⣿⣿⣿⡿⠋⠚⡟⠀⠀⠀⠀
⠀⠀⠀⠀⠁⠀⠀⠀⠠⠸⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠑⠂⠁⢐⣿⣿⣿⣿⢿⣿⣿⣿⡇⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡀⢀⣺⣿⣿⣿⠟⠁⠀⢾⣿⡄⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⢰⣤⣀⣿⣿⣿⣷⣶⣼⣿⣿⠗⠻⣿⣟⣿⣿⣿⣿⣿⣿⣿⡿⢿⠿⣿⣿⣿⣿⣿⣿⣿⠙⠋⠀⠀⠀⠙⠛⢻⣿⣿⡅⠉⠁⠐⠋⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡄⠀⠀⠈⠉⠀⠸⠟⠋⠁⠈⠉⠁⠀⠀⠀⠈⣹⡿⠛⢻⣿⣿⣿⠋⠘⣿⣿⣿⣿⣷⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠻⠋⠀⡗⠲⣦⣤⣄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠆⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⣼⡟⠀⠈⢸⠐⣶⣾⣿⡇⠙⠉⠉⠉⠀⠉⢿⡆⠈⠀⠀⠀⠀⠀⠀⠀⢱⠀⠛⠉⣿⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢸⠀⠈⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⡞⠋⠀⠀⠀⠈⠀⠉⢀⢿⡇⠀⠀⠀⠀⠀⠀⠘⡇⠀⠆⠀⠀⠀⠀⠀⠀⠀⡀⠋⠐⠋⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠈⠁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠈⢦⣄⠀⠀⠀⠀⠀⠀⠀⠈⠙⠃⠀⠀⠀⠀⡀⠀⠀⠈⢸⣿⠀⠀⠰⠦⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡓⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣀⣘⣿⠿⣶⣤⣀⣘⠋⠀⠀⠀⠀⠀⠀⢠⠆⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⡀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⣄⢀⣸⣿⠆⠈⠀⢻⣿⣿⣄⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠈⠛⢿⣷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⢀⣤⣤⣀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣼⣿⣿⢀⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣆⣿⣿⣷⣶⡄⣠⣶⣶⣦⠀⣶⣶⣶⢠⣶⣶⣦⡀⣿⣿⢹⣿⡇⣿⣿⢿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠙⣛⣧⣿⣿⢸⣿⡟⣿⣿⣿⣿⢸⣿⡇⢿⣷⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⡇⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⡇⣿⣿⣿⣿⣸⣿⡇⣶⣟⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣸⣿⡇⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠃⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠉⠛⠇⠀⠃⠀⠀⠘⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣤⣤⠀⠀⠀⣤⣤⣤⣤⣤⠀⠀⠀⣤⣤⣤⡀⠀⣠⣤⣤⡄⠀⢠⣤⣤⡄⠀⢀⠀⢠⠀⠀⢀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⠉⣿⠀⣾⡏⠉⣿⡏⠉⣿⠀⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⡀⣿⡇⢀⣿⣀⣿⣇⣀⣿⡇⢀⣿⡰⣿⡷⠶⣿⡇⣿⡗⠶⠛⠁⢸⣿⠀⠀⠀⢾⣿⠶⣾⣿⣂⣿⣶⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡇⠀⣿⡟⣿⣿⡟⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀
⡿⠃⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠛⠃⠀⠋⠀⣿⣿⠀⡿⠇⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⠛⠀⠀⠀
⠀⠀⠀⠉⠿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢻⣿⣿⣿⣿⣿⣿⣿⡀⣦⡀⠀⠀⠀
⠀⠀⠀⠀⣶⠈⠻⠛⢿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠪⡉⢵⢠⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠈⢻⣿⣿⣿⣿⣿⠛⠘⡿⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠩⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠁⠀⠁⠁⣿⣿⣿⡿⠿⢿⣿⣿⡇⢉⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡀⢀⣸⣿⣿⣿⠟⠁⠀⢸⣿⡄⠀⠀⠀
⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢠⣤⣀⣿⣿⣿⣷⣴⣮⣿⣿⠇⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⠋⠁⠀⠀⠛⠛⠛⣿⣿⡏⠙⠁⠀⠋⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠉⠉⠁⠸⠿⠋⠁⠈⠉⠉⠀⠀⠀⠈⢻⡿⠛⢻⣿⠿⣟⠏⡐⠿⢿⣿⣿⣷⣿⣿⣿⣿⣇⢀⠀⠀⠀⠀⠀⠀⠻⠋⠀⡗⠲⣶⣤⣤⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⣼⡿⠀⠈⢸⠇⢶⡶⣿⡇⠙⠋⠉⠉⠁⠉⢿⡆⠈⠀⠀⠀⠀⠀⠀⠀⢠⠀⠛⠉⣿⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠘⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⡞⠛⠀⠀⠀⠸⠀⠀⠀⢹⣗⠀⠀⠀⠀⠀⠀⠈⡇⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠋⠘⠋⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠁⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢦⣀⠀⠀⠀⠀⠀⣀⠀⠀⠈⠉⠀⠀⠀⠀⠰⠀⠀⠀⠁⣿⠀⠀⠰⠦⠀⠀⠐⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⡻⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠈⠉⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣿⠷⣶⣄⣀⡈⠉⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⡀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⣀⣀⣸⣿⡀⠉⠀⢿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⢿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⢀⣤⣤⣀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣼⣿⣿⢀⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣆⣿⣿⣷⣶⡄⣠⣶⣶⣦⠀⣶⣶⣶⢠⣶⣶⣦⡀⣿⣿⢹⣿⡇⣿⣿⢿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⡟⣿⣿⣿⣿⢸⣿⡇⢿⣷⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⡇⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⡇⣿⣿⣿⣿⣸⣿⡇⣶⣟⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣸⣿⡇⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠃⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠈⠛⠇⠀⠃⠀⠀⠘⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⣀⠀⠀⠀⣀⣀⣤⣤⣀⠀⠀⠀⣀⣀⣀⡀⠀⣀⣀⣀⡀⠀⢀⣀⣀⡀⠀⢀⠀⢀⠀⠀⢀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⠉⣿⠀⣾⡏⠉⣿⡏⠉⣿⠀⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⡀⣿⡇⢀⣿⣀⣿⣇⣀⣿⡇⢀⣿⡰⣿⡷⠶⣿⡇⣿⡗⠶⠛⠁⢸⣿⠀⠀⠀⢾⣿⠶⣾⣿⣂⣿⣶⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡇⠀⣿⡟⣿⣿⣟⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀
⡿⠃⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠛⠃⠀⠋⠀⣿⣿⠀⡿⠗⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠁⠀⠀
⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢻⣿⣿⣿⣿⣿⣿⣿⣏⣶⡀⠀⠀⠀
⠀⠀⠀⠀⢴⠌⠻⠛⢿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠈⠵⢀⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠈⢻⣿⣿⣿⣿⣿⠟⠘⣿⠁⠀⠀⠀
⠀⠀⠀⠀⠈⠀⠀⠀⠀⠐⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠨⠁⣿⣿⢿⣿⡿⢿⣿⣿⠏⢩⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢀⣼⣿⣿⣿⠟⠁⡀⢰⣿⡆⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⣠⣤⠀⣿⣿⣿⣿⣴⣮⣿⣿⠄⠻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣛⣻⣿⣿⣿⣿⣿⣿⣿⡛⠋⠁⠀⠀⠙⠛⠛⣿⣿⡏⠙⠁⠀⠋⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠸⡯⠛⠁⠉⠉⠉⠀⠀⠀⠈⢻⡿⠻⢿⣿⡿⠟⡟⡀⠸⠿⣿⣿⣿⣽⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠻⠋⠁⡿⠶⣶⣤⣤⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⣰⡿⠃⠀⠀⡏⢸⡷⢿⣿⠙⠋⠉⠉⠁⠈⣿⡆⠈⠀⠀⠀⠀⠀⠀⠀⠨⠀⠛⠉⣿⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⢸⠀⠘⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣶⣿⠛⠀⠀⠀⠀⠀⠀⠀⡈⣿⡀⠀⠀⠀⠀⠀⠈⡷⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠋⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠑⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠐⢠⡀⠀⠀⠀⠀⠀⣀⡀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠃⠀⠰⡦⠀⠀⠀⣧⠀⠂⠀⠀⠀⠀⠀⠀⠀⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠈⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⣿⠷⣶⣄⣀⡀⠉⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⣀⣀⣈⣿⡄⠘⠉⢻⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠁⠀⠀⠀⠘⠻⠿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠂⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⢀⣤⣤⣀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣼⣿⣿⢀⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣆⣿⣿⣷⣶⡄⣠⣶⣶⣦⠀⣶⣶⣶⢠⣶⣶⣦⡀⣿⣿⢹⣿⡇⣿⣿⢿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⡟⣿⣿⣿⣿⢸⣿⡇⢿⣷⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⡇⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⡇⣿⣿⣿⣿⣸⣿⡇⣶⣟⣿⣿⢸⣿⣿⣿⡿⣿⣿⣿⣿⡇⣿⣿⣸⣿⡇⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠃⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠈⠛⠇⠀⠃⠀⠀⠈⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⣀⠀⠀⠀⣀⣀⣤⣤⣀⠀⠀⠀⣀⣀⣀⡀⠀⣀⣀⣀⡀⠀⢀⣀⣀⡀⠀⢀⠀⢀⠀⠀⢀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⠉⣿⠀⣾⡏⠉⣿⡏⠉⣿⠀⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⡀⣿⡇⢀⣿⣀⣿⣇⣀⣿⡇⢀⣿⡰⣿⡷⠶⣿⡇⣿⡗⠶⠛⠁⢸⣿⠀⠀⠀⢾⣿⠶⣾⣿⣂⣿⣶⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡇⠀⣿⡟⣿⣿⣟⣿⡇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀
⡿⠋⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠛⠃⠀⠋⠀⣿⣿⠀⡿⠷⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⠀⠀
⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⠀⠀⠀
⠀⠀⠀⠀⢰⡌⠻⠛⢿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡈⢢⠂⡾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⢻⣿⣿⣿⣿⣿⠟⠉⢻⠃⠀⠀⠀
⠀⠀⠀⠀⠈⠀⠀⠀⠀⠘⢶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠤⠈⠃⣿⣿⢿⣿⣿⣿⣿⣿⡇⠉⣶⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⣼⣿⣿⣿⠿⢋⡀⢰⣿⡆⠀⠀⠀
⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢠⣀⠀⢹⣿⣿⣿⣴⣎⣿⣿⠄⢿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠉⠀⠉⠙⠛⠛⣿⣿⡏⠙⠁⠀⠛⠉⠈⠀⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠐⣯⠛⠉⠘⠛⠉⠁⠀⠀⠙⣻⡿⠿⢿⣿⣿⠟⠯⢃⡘⢻⠻⣿⣿⣬⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠻⠟⠃⢿⠷⣶⣤⣤⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠁⠀⣠⣿⠟⠀⠀⢸⠁⢿⠿⣿⡟⠋⠉⠋⠁⠈⢶⡇⠀⠁⠀⠀⠀⠀⠀⠀⠘⡄⠙⠋⣹⡇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠐⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⡏⠁⠀⠀⠀⠈⠀⠀⢀⡸⣧⡀⠀⠀⠀⠀⠀⣷⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠛⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢄⡀⠀⠀⠀⠀⠀⢠⣴⠄⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠿⠀⠀⣦⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠐⠂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠈⠉⠙⣿⡆⠙⠉⢻⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠙⢻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⢀⣤⣤⣀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣼⣿⣿⢀⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣆⣿⣿⣷⣶⡄⣠⣶⣶⣦⠀⣶⣶⣶⢠⣶⣶⣦⡀⣿⣿⢹⣿⡇⣿⣿⢿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⡷⣿⣿⣿⣿⢸⣿⡇⢿⣷⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⡇⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⡇⣿⣿⣿⣿⣸⣿⡇⣶⣟⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣸⣿⡇⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠃⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠐⠉⠛⠇⠀⠃⠀⠀⠘⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⣀⠀⠀⠀⣀⣀⣤⣤⣀⠀⠀⠀⣀⣀⣀⡀⠀⣀⣀⣀⡀⠀⢀⣀⣀⡀⠀⢀⠀⢀⠀⠀⢀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⠉⣿⠀⣾⡏⠉⣿⡏⠉⣿⠀⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⡀⣿⡇⢀⣿⣀⣿⣇⣀⣿⡇⢀⣿⡰⣿⡷⠶⣿⡇⣿⡗⠶⠛⠁⢸⣿⠀⠀⠀⢾⣿⠶⣾⣿⣀⣿⣶⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡇⠀⣿⡟⣿⣿⡟⣿⡇⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠄⠀
⣿⠟⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠛⠃⠀⠋⠀⣿⣿⠁⡿⠇⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⠀⠀
⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀
⠀⠀⠀⠀⢰⡎⠛⠟⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠐⢢⠂⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠈⢻⣿⣿⣿⣿⣿⠟⠁⢻⠇⠀⠀⠀
⠀⠀⠀⠀⠈⠀⠀⠀⠀⠈⢲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠄⠉⠁⣾⣿⣿⣿⣿⣿⣿⣿⠇⢈⣹⣾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣸⣿⣿⣿⡿⠋⡀⢰⣿⣆⠀⠀⠀
⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⣠⡀⢹⣿⣿⣿⣤⣦⣽⣿⠀⢾⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠉⠀⠉⠙⠛⠛⣿⣿⡯⠙⠁⠀⠛⠉⠉⠁⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠈⢯⠛⠉⠘⠛⠉⠁⠀⠀⠙⣻⡿⠿⣿⣿⣿⡏⠏⠇⡜⢙⡛⣿⣿⣭⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠹⠟⠃⢾⠿⢶⣤⣤⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠁⢀⣈⣿⡿⠃⠀⠀⠇⠸⠟⢻⣿⠛⠉⠋⠉⠈⢶⡆⠀⠁⠀⠀⠀⠀⠀⠀⠈⡄⠙⠋⢹⡇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠐⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⠈⠁⠀⠀⠀⠀⠀⠀⡄⣿⡤⠀⠀⠀⠀⠀⢿⠀⠠⠀⠀⠀⠀⠀⠀⠀⠁⠘⠀⠛⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠂⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⡀⠀⠀⠀⠀⠀⠀⠶⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠇⠀⣦⠀⠀⠀⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠂⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠉⠉⠙⣿⡀⠈⠛⢹⣷⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠃⠁⠀⠀⠈⠙⠿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⢀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣼⣿⣿⢀⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣆⣿⣿⣷⣶⡄⣠⣶⣶⣦⠀⣶⣶⣶⢠⣶⣶⣦⡀⣿⣿⢹⣿⡆⣿⣿⢿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⡇⣿⣿⣿⣿⢸⣿⡇⢿⣷⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⡇⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⡇⣿⣿⣿⣿⣸⣿⡇⣶⣟⣿⣿⢸⣿⣿⣿⡿⣿⣿⣿⣿⡇⣿⣿⣸⣿⡇⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠃⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠐⠈⠛⠇⠀⠁⠀⠀⠘⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⣀⠀⠀⠀⣀⣀⣤⣤⣀⠀⠀⠀⣀⣀⣀⡀⠀⣀⣀⣀⡀⠀⢀⣀⣀⡀⠀⢀⠀⢀⠀⠀⢀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⠉⣿⠀⣾⡏⠉⣿⡏⠉⣿⠀⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⡀⣿⡇⢀⣿⣀⣿⣇⣀⣿⡇⢀⣿⡰⣿⡷⠶⣿⡇⣿⡗⠶⠛⠁⢸⣿⠀⠀⠀⢾⣿⠶⣾⣿⣂⣿⣶⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡇⠀⣿⡟⣿⣿⡟⣿⡇⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀
⣿⠟⠘⢻⣿⣿⣿⣿⣿⣿⣿⣿⡿⠏⠀⠛⠃⠀⠋⠀⣿⣿⠁⡿⠧⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⠀
⠁⠀⠀⠈⠹⣿⣿⣿⣿⣿⡿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠀⠀⠀
⠀⠀⠀⠀⢰⡌⠛⠟⢿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠐⣢⠆⡾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠻⣿⣿⣿⣿⣿⡟⠉⢻⡇⠀⠀⠀
⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⢶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠡⠄⠈⠃⣿⣿⣿⣿⣿⣿⣿⣿⠏⠈⢡⣮⣫⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣸⣿⣿⣿⡿⢋⣀⣰⣿⣧⠀⠀⠀
⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⣠⡀⢹⣿⣿⣿⣤⣦⣹⣿⠠⣶⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠉⠈⠉⠙⠛⠛⣿⣿⡿⠙⠁⠀⠛⠋⠉⠀⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⢯⠙⠋⠙⠛⠋⠉⠀⠀⠙⢿⣿⢿⣿⣿⣿⣿⠛⠽⣰⠉⣛⢻⣿⣎⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠹⠟⠃⢸⠿⣶⣦⣦⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠁⢀⣨⣿⣿⠋⠀⠀⡟⠘⠟⠻⣿⡟⠉⠛⠉⠈⢷⣧⠀⠁⠀⠀⠀⠀⠀⠀⠈⡄⠸⠛⢹⡇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠇⠀⠀⠀⠀⠁⠀⠀⠀⢸⣷⠄⠀⠀⠀⠀⢻⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠛⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⡀⠀⠀⠀⠀⠀⠀⠐⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠀⠀⠀⠀⠀⢶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠆⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠉⠉⠙⡿⡆⠙⠋⢹⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠉⠛⠃⠃⠀⠀⠈⠙⠿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⢀⣤⣤⣀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣼⣿⣿⢀⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣆⣿⣿⣷⣶⡄⣠⣶⣶⣦⠀⣶⣶⣶⢠⣶⣶⣦⡀⣿⣿⢹⣿⡇⣿⣿⢿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⡗⣿⣿⣿⣿⢸⣿⡇⢿⣷⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⡇⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⡇⣿⣿⣿⣿⣸⣿⡇⣶⣟⣿⣿⢸⣿⣿⣿⡿⣿⣿⣿⣿⡇⣿⣿⣸⣿⡇⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠃⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⠛⠇⠀⠀⠀⠀⠀⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⣀⠀⠀⠀⣀⣀⣤⣤⣀⠀⠀⠀⣀⣀⣀⡀⠀⣀⣀⣀⡀⠀⢀⣀⣀⡀⠀⢀⠀⢀⠀⠀⢀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⠉⣿⠀⣾⡏⠉⣿⡏⠉⣿⠀⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⡀⣿⡇⢀⣿⣀⣿⣇⣀⣿⡇⢀⣿⡰⣿⡷⠶⣿⡇⣿⡗⠶⠛⠁⢸⣿⠀⠀⠀⢾⣿⠶⣾⣿⣂⣿⣶⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡇⠀⣿⡟⣿⣿⡛⣿⡇⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀
⣿⠟⠘⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠛⠃⠀⠋⠀⣿⣿⠁⡿⠇⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠂⠀
⠁⠀⠀⠈⠻⣿⣿⣿⣿⣿⡿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡜⠀⠀⠄
⠀⠀⠀⠀⢠⡆⠛⠟⢿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⢢⠄⡾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠻⣿⣿⣿⣿⣿⡟⠉⢻⡇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠠⠄⠀⠃⣿⣿⣿⣿⡿⣿⣿⣿⠋⠉⣩⣎⣽⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⢠⣿⣿⣿⡿⢋⣀⣐⣿⣧⠀⠀⠀
⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⣠⡀⢸⣿⣿⣿⣤⣦⣹⣿⠀⣾⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣭⣯⣿⣿⣿⣿⣿⡟⠛⠉⠈⠉⠙⠛⠛⣾⣿⣿⠋⠁⠀⠛⠋⠉⠀⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠁⣭⠙⠋⠙⠛⠋⠁⠀⠀⠙⣯⣿⠿⣿⣿⣿⣿⠉⢱⢠⠉⣛⢻⣿⣇⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠹⠟⠋⢸⡿⣷⣦⣦⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠁⢀⣨⣿⢿⡏⠀⠀⢸⠀⠿⠛⢿⣿⠉⠛⠉⠈⢱⣷⠀⠁⠀⠀⠀⠀⠀⠀⠈⡄⠘⠛⢹⡇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠈⠙⠻⠀⠀⠀⠀⠈⠀⠀⢀⠈⣿⡆⠀⠀⠀⠀⢹⠀⠠⠀⠀⠀⠀⠀⠀⠀⠁⠘⠀⠛⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢄⡀⠀⠀⠀⠀⠀⠀⠐⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠂⠀⠀⠀⠀⢼⡀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠆⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠉⠀⠐⣿⡄⠙⠛⢹⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠉⠓⠃⠃⠀⠀⠈⠙⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⢀⣤⣤⣀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣼⣿⣿⢀⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣆⣿⣿⣷⣶⡄⣠⣶⣶⣦⠀⣶⣶⣶⢠⣶⣶⣦⡀⣿⣿⢹⣿⡆⣿⣿⢿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⡧⣿⣿⣿⣿⢸⣿⡇⢿⣷⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⡇⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⡇⣿⣿⣿⣿⣸⣿⡇⣶⣟⣿⣿⢸⣿⣿⣿⡿⣿⣿⣿⣿⡇⣿⣿⣸⣿⡇⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠃⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠈⠛⠇⠀⠃⠀⠀⠈⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⣀⠀⠀⠀⣀⣀⣤⣤⣀⠀⠀⠀⣀⣀⣀⡀⠀⣀⣀⣀⡀⠀⢀⣀⣀⡀⠀⢀⠀⢀⠀⠀⢀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⠉⣿⠀⣾⡏⠉⣿⡏⠉⣿⠀⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⡀⣿⡇⢀⣿⣀⣿⣇⣀⣿⡇⢀⣿⡰⣿⡷⠶⣿⡇⣿⡗⠶⠛⠁⢸⣿⠀⠀⠀⢾⣿⠶⣾⣿⣀⣿⣶⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡇⠀⣿⡟⣿⣿⡛⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀
⣿⡿⠘⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠛⠃⠀⠋⠀⣿⣿⠉⡿⠧⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠂⠀
⠁⠀⠀⠈⠙⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀
⠀⠀⠀⠀⢠⡆⠙⠟⠿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⢀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠻⣿⣿⣿⣿⣿⠟⠉⢹⡏⠀⠀⠀
⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠄⠀⠃⢼⣿⣿⣿⣿⢿⣿⣿⠏⠉⢉⣌⣋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⢀⣿⣿⣿⠿⢋⣠⣐⣿⣧⠀⠀⠀
⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢸⣿⣿⣿⣧⣦⣩⣿⠀⣴⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣟⣛⣿⣿⣿⣿⣿⣟⠛⠋⠉⠉⠙⠿⠿⢶⣿⣿⠋⠁⠀⠛⠋⠉⠁⠉⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠁⢩⠙⠛⠹⠟⠛⠉⠀⠈⠛⢧⣿⢿⣿⣿⣿⣿⡟⠙⢂⡀⠻⠿⣿⣯⣿⣽⣿⣿⡀⠀⠀⠀⠀⠀⠀⠘⠿⠋⢸⡿⢷⣦⣦⡄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠁⠀⣈⣻⡿⡟⠃⠀⠸⡇⢻⠿⣿⣿⡋⠛⠋⠉⢡⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠸⠟⢹⡇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠙⠛⠀⠀⠀⠀⠈⠀⠀⠀⠀⣹⣷⠀⠀⠀⠀⢸⡄⠠⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠺⠉⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠚⠛⠁⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⢸⡿⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠐⠇⠀⠀⠀⠀⠀⠀⠀⠀⠸⠂⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠐⣿⡆⠙⠛⢳⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠒⠀⠒⠃⠃⠀⠀⠈⠙⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⠃⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⢀⣤⣤⣀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣼⣿⣿⢀⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣆⣿⣿⣷⣶⡄⣠⣶⣶⣦⠀⣶⣶⣶⢠⣶⣶⣦⡀⣿⣿⢹⣿⡇⣿⣿⢿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⡇⣿⣿⣿⣿⢸⣿⡇⢿⣷⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⡇⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⡇⣿⣿⣿⣿⣸⣿⡇⣶⣟⣿⣿⢸⣿⣿⣿⡿⣿⣿⣿⣿⡇⣿⣿⣸⣿⠇⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠃⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⠛⠇⠀⠀⠀⠀⠀⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⣀⠀⠀⠀⣀⣀⣤⣤⣀⠀⠀⠀⣀⣀⣀⡀⠀⣀⣀⣀⡀⠀⢀⣀⣀⡀⠀⢀⠀⢀⠀⠀⢀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⠉⣿⠀⣾⡏⠉⣿⡏⠉⣿⠀⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⡀⣿⡇⢀⣿⣀⣿⣇⣀⣿⡇⢀⣿⡰⣿⡷⠶⣿⡇⣿⡗⠶⠛⠁⢸⣿⠀⠀⠀⢾⣿⠶⣾⣿⣀⣿⣶⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡇⠀⣿⡟⣿⣿⡛⣿⡇⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀
⣿⠿⠘⢛⣿⣿⣿⣿⣿⣿⣿⣿⡿⠏⠀⠛⠃⠀⠋⠀⣿⣿⠉⡿⠧⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀
⠁⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⣿⣿⣿⣿⣿⣿⣿⣯⣿⡇⠀⠀⠀
⠀⠀⠀⠀⢠⡆⠙⠟⠻⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⢢⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠻⣿⣿⣿⣿⣿⡟⠉⢹⡏⠀⠀⠀
⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠁⠃⢼⣿⣿⣿⣿⠿⣿⣿⠏⠉⢨⣍⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⢀⣿⣿⣿⠟⢋⣠⣐⣿⣧⠀⠀⠀
⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢸⣿⣿⣿⣧⣶⣩⣿⠀⣤⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣛⣿⣿⣿⣿⣿⡟⠻⠋⠉⠉⠉⠿⠿⢶⣿⣿⠋⠁⠀⠛⠉⠉⠁⠉⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠉⢩⠙⠛⠹⠟⠛⠉⠀⠈⠛⢗⣿⢿⣿⣿⣿⣿⡟⠋⠀⡀⠻⠿⣿⣏⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠘⠿⠛⢰⡿⢷⣦⣦⡄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠁⠀⣈⣻⡿⡟⠁⠀⢸⠇⢿⠿⣿⣿⡋⠛⠋⠉⢡⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠸⠟⢹⡇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠙⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⠀⠀⠀⠀⢸⡄⠠⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠸⠉⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠚⠛⠁⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⢸⡿⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠸⠂⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠒⣿⡆⠙⠛⢳⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠒⠀⠒⠃⠃⠀⠀⠈⠙⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠃⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⢀⣤⣤⣀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣼⣿⣿⢀⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣆⣿⣿⣷⣶⡄⣠⣶⣶⣦⠀⣶⣶⣶⢠⣶⣶⣦⡀⣿⣿⢹⣿⡆⣿⣿⢿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⡇⣿⣿⣿⣿⢸⣿⡇⢿⣷⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⡇⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⡇⣿⣿⣿⣿⣸⣿⡇⣶⣟⣿⣿⢸⣿⣿⣿⡿⣿⣿⣿⣿⡇⣿⣿⣸⣿⠇⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠃⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠉⠛⠇⠀⠀⠀⠀⠐⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⣀⠀⠀⠀⣀⣀⣤⣤⣀⠀⠀⠀⣀⣀⣀⡀⠀⣀⣀⣀⡀⠀⢀⣀⣀⡀⠀⢀⠀⢀⠀⠀⢀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⠉⣿⠀⣾⡏⠉⣿⡏⠉⣿⠀⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⡇⢀⣿⣀⣿⣇⣀⣿⡇⢀⣿⡰⣿⡷⠶⣿⡇⣿⡗⠶⠛⠁⢸⣿⠀⠀⠀⢾⣿⠶⣾⣿⣀⣿⣶⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡇⠀⣿⡟⣿⣿⡛⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀
⣿⡿⠘⠛⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠛⠃⠀⠋⠀⣿⣿⠁⡿⠧⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀
⠉⠀⠀⠈⠙⢿⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣿⣿⣿⣿⣿⣿⣿⣿⢿⡅⠀⠀⠀
⠀⠀⠀⠀⠀⣄⠙⠿⠻⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⢢⠄⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠸⢿⣿⣿⣿⣿⠟⠉⣙⡟⠀⠀⠀
⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠁⢸⣿⣿⣿⣿⣿⣿⣿⠋⠉⢉⣉⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣿⣿⣿⠟⢁⣤⣬⣿⣧⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢀⡀⢸⣿⣿⣿⣯⣽⣉⣿⠀⣤⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠟⠉⠉⠉⠿⠿⢶⣾⣿⠋⠁⠀⠛⠋⠉⠁⠉⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠁⢹⠉⠛⠹⠿⠛⠋⠀⠀⠛⢆⣿⢿⣿⣿⣿⣿⠟⠋⠁⠀⠻⢿⣿⣯⣻⣽⣿⣿⡄⠀⠀⠀⠀⠀⠀⠘⠿⠛⠰⡿⢿⣶⣤⡄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠃⠀⠈⢻⣿⡿⠀⠀⢸⠃⢾⠶⣿⣿⠋⠙⠋⠉⢳⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠸⠟⢻⣷⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢾⣿⠛⠁⠀⠀⠈⠀⠀⠀⠉⣿⡶⠀⠀⠀⠀⢘⡆⠀⠄⠀⠀⠀⠀⠀⠀⠈⠀⠂⠸⠋⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⠀⠀⠉⠁⠀⠀⠀⠀⢰⠀⠀⠀⢸⣧⢤⡄⠀⠀⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣦⣄⡀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠘⠇⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠰⠆⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠐⠒⣿⡌⠙⠛⢲⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠒⠐⠒⠃⠃⠀⠀⠈⠻⢿⣿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠫⠃⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⢀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣼⣿⣿⢀⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣆⣿⣿⣷⣶⡄⣠⣶⣶⣦⠀⣶⣶⣶⢠⣶⣶⣦⡀⣿⣿⢹⣿⡇⣿⣿⢿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⡧⣿⣿⣿⣿⢸⣿⡇⢿⣷⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⡇⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⡇⣿⣿⣿⣿⣸⣿⡇⣶⣟⣿⣿⢸⣿⣿⣿⡿⣿⣿⣿⣿⡇⣿⣿⣸⣿⠇⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠃⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠈⠛⠇⠀⠀⠀⠀⠐⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⣀⠀⠀⠀⣀⣀⣤⣤⣀⠀⠀⠀⣀⣀⣀⡀⠀⣀⣀⣀⡀⠀⢀⣀⣀⡀⠀⢀⠀⢀⠀⠀⢀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⠉⣿⠀⣾⡏⠉⣿⡏⠉⣿⠀⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⡇⢀⣿⣀⣿⣇⣀⣿⡇⢀⣿⡰⣿⡷⠶⣿⡇⣿⡗⠶⠛⠁⢸⣿⠀⠀⠀⢾⣿⠶⣾⣿⣀⣿⣶⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡇⠀⣿⡟⣿⣿⡛⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀
⣿⡿⠙⠛⣿⣿⣿⣿⣿⣿⣿⣿⡿⠏⠀⠛⠃⠀⠋⠀⣿⣿⠉⡿⠷⠚⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀
⠉⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⡿⢯⣇⠀⠀⠀
⠀⠀⠀⠀⠀⣤⠙⠿⠻⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⢂⡄⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠘⢿⣿⣿⣿⣿⠏⠀⣨⡟⠀⠀⠀
⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠃⢼⣿⣿⣿⣿⣿⣿⣿⠏⠁⢉⣉⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣼⣿⣿⠟⣁⣤⣬⣿⣧⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢀⡀⠈⣿⣿⣿⣧⣷⣜⣿⠀⣠⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠉⠉⠿⠿⢶⣶⣿⠋⠁⠀⠛⠋⠉⠁⠉⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠘⠛⠁⢹⡋⠛⠋⠿⠛⠋⠀⠈⠛⠆⣿⢿⣿⣿⢿⣿⡿⠟⠉⠁⠹⣿⣿⣿⣻⣽⣿⣿⡄⠀⠀⠀⠀⠀⠀⠘⠿⠟⠀⡿⢿⣶⣤⡄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠃⠀⠈⠹⣿⡿⠀⠀⢰⠇⢲⣤⣿⣿⠛⠙⠛⠉⠃⣴⡄⠀⠀⠀⠀⠀⠀⠀⠀⢁⠘⠟⠛⡷⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⠟⠁⠀⠀⠀⠄⠈⠀⠘⣿⡤⠀⠀⠀⠀⠘⡇⠀⡄⠀⠀⠀⠀⠀⠀⠈⠀⠂⠸⠃⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠀⠀⠀⠀⠀⢀⠀⠀⠀⢿⡇⢲⡄⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣦⣄⡀⠀⠀⠀⠐⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠒⠒⣿⡏⠙⠟⢲⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠒⠒⠒⠃⠁⠀⠀⠈⠹⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠃⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⢀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣼⣿⣿⢀⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣆⣿⣿⣷⣶⡄⣠⣶⣶⣦⠀⣶⣶⣶⢠⣶⣶⣦⡀⣿⣿⢹⣿⡇⣿⣿⢿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⡧⣿⣿⣿⣿⢸⣿⡇⢿⣷⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⡇⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⡇⣿⣿⣿⣿⣸⣿⡇⣶⣟⣿⣿⢸⣿⣿⣿⡿⣿⣿⣿⣿⡇⣿⣿⣸⣿⠇⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠃⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠈⠛⠇⠀⠀⠀⠀⠐⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⣀⠀⠀⠀⣀⣀⣤⣤⣀⠀⠀⠀⣀⣀⣀⡀⠀⣀⣀⣀⡀⠀⢀⣀⣀⡀⠀⢀⠀⢀⠀⠀⢀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⠉⣿⠀⣾⡏⠉⣿⡏⠉⣿⠀⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⡇⢀⣿⣀⣿⣇⣀⣿⡇⢀⣿⡰⣿⡷⠶⣿⡇⣿⡗⠶⠛⠁⢸⣿⠀⠀⠀⢾⣿⠶⢾⣿⣀⣿⣶⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡇⠀⣿⡟⣿⣿⡛⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀
⣿⡿⠛⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠛⠃⠀⠋⠀⣿⣿⠁⡿⠷⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀
⠋⠀⠀⠀⠙⢿⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢿⣿⣿⣿⣿⣿⣿⣿⢻⣧⠀⠀⠀
⠀⠀⠀⠀⠀⣤⠙⠿⠻⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⢂⠄⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠘⢿⣿⣿⣿⣿⠏⠀⣨⡏⠀⠀⠀
⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠃⢸⣿⣿⣿⣿⣿⣿⣿⡏⠈⢈⣉⣙⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣸⣿⣿⠟⣡⣤⣤⣿⣧⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⢀⡀⢘⣿⣿⣿⣯⣴⣜⣿⡀⣀⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠟⠉⠉⠉⠻⠿⢶⣶⣿⠉⢁⠀⠛⠉⠉⠁⠉⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠃⢹⡋⠛⠻⠿⠟⠋⠀⠈⠓⢂⣿⢿⣿⣿⣿⣿⡿⠿⡛⠃⢺⣿⣿⣿⣹⣯⣿⣿⡆⠀⠀⠀⠀⠀⠀⠈⢿⠟⠀⡾⢿⣶⣤⡄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠃⠀⠉⠹⣿⣿⠁⠀⠁⡆⢠⣬⣿⡿⠋⠙⠛⠉⠙⣴⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠙⡷⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠿⠃⠀⠀⠀⠇⠈⠁⠙⣷⠀⠀⠀⠀⠀⠈⡇⠀⡄⠀⠀⠀⠀⠀⠀⠈⠀⠂⠸⠃⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢿⠇⢦⣄⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣦⣀⡀⠀⠀⠀⠠⠶⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠒⠒⣿⡏⠙⠟⢲⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠒⠒⠒⠃⠃⠀⠀⠘⠻⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⠃⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⢀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣼⣿⣿⢀⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣆⣿⣿⣷⣶⡄⣠⣶⣶⣦⠀⣶⣶⣶⢠⣶⣶⣦⡀⣿⣿⢹⣿⡇⣿⣿⢿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⡇⣿⣿⣿⣿⢸⣿⡇⢿⣷⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⡇⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⡇⣿⣿⣿⣿⣸⣿⡇⣶⣟⣿⣿⢸⣿⣿⣿⡿⣿⣿⣿⣿⡇⣿⣿⣸⣿⠇⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠃⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⠛⠇⠀⠀⠀⠀⠐⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⣀⠀⠀⠀⣀⣀⣠⣤⣀⠀⠀⠀⣀⣀⣀⡀⠀⣀⣀⣀⡀⠀⢀⣀⣀⡀⠀⢀⠀⢀⠀⠀⢀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⠉⣿⠀⣾⡏⠉⣿⡏⠉⣿⠀⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⡇⢀⣿⣀⣿⣇⣀⣿⣇⢀⣿⡰⣿⡷⠶⣿⡇⣿⡗⠶⠛⠁⢸⣿⠀⠀⠀⢾⣿⠶⢾⣿⣀⣿⣶⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡇⠀⣿⡟⣿⣿⡛⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠀
⣿⡿⠛⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠛⠃⠀⠋⠀⣿⣿⠉⡿⢿⠚⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠀⠀
⠋⠁⠀⠀⠙⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣿⣿⣿⣿⣿⣿⡟⢳⣅⠀⠀⠀
⠀⠀⠀⠀⠀⣤⠙⠿⠻⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠂⠄⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠘⢿⣿⣿⣿⣿⠏⠀⣠⡟⠀⠀⠀
⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠙⢸⣿⣿⣿⣿⣿⣿⣿⡏⠁⠀⣉⠉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣸⣿⣿⠟⣁⣤⣴⣿⣧⠀⠀⠀
⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠈⣿⣿⣿⣧⣴⣜⣿⡀⢠⡾⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠟⠉⠉⠉⠻⠿⠦⣴⣿⡉⢁⠀⠛⠉⠉⠁⠉⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠋⢹⡏⠛⠛⠿⠟⠋⠀⠈⠛⢂⣿⢿⣿⣿⣿⣿⣿⡿⠟⠃⣾⣷⣿⣿⣹⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⢿⠟⠀⡾⢿⣶⣤⡄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠸⠃⠀⠀⠙⢿⣿⠁⠀⢀⡄⢨⣙⣿⡿⠛⠙⠛⠉⠛⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠛⡿⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠿⠃⠀⠀⠀⠀⠘⠁⠻⣧⠀⠀⠀⠀⠀⠈⡇⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠸⠇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣤⣀⡀⠀⠀⠀⢠⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠒⠒⣼⡏⠙⠟⢲⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠒⠒⠲⠏⠁⠀⠀⠘⠻⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⠃⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⢀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣼⣿⣿⢀⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣆⣿⣿⣷⣶⡄⣠⣶⣶⣦⠀⣶⣶⣶⢠⣶⣶⣦⡀⣿⣿⢹⣿⡆⣿⣿⢿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⡇⣿⣿⣿⣿⢸⣿⡇⢿⣷⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⡇⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⡇⣿⣿⣿⣿⣸⣿⡇⣶⣟⣿⣿⢸⣿⣿⣿⡿⣹⣿⣿⣿⡇⣿⣿⣸⣿⠇⣿⣿⠀⢿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠃⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⠛⠇⠀⠀⠀⠀⠀⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⣀⠀⠀⠀⣀⣀⣠⣤⣀⠀⠀⠀⣀⣀⣀⡀⠀⣀⣀⣀⡀⠀⢀⣀⣀⡀⠀⢀⠀⢀⠀⠀⢀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⠉⣿⠀⣾⡏⠉⣿⡏⠉⣿⠀⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⡇⢀⣿⣀⣿⣇⣀⣿⣇⢀⣿⡰⣿⡷⠶⣿⡇⣿⡗⠶⠛⠁⢸⣿⠀⠀⠀⢾⣿⠶⢾⣿⣀⣿⣶⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡇⠀⣿⡟⣿⣿⠛⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀
⣿⣿⠟⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠛⠃⠀⠋⠀⣿⣿⠛⡿⢷⠘⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀
⠛⠁⠀⠀⠛⢿⣿⣿⣿⣿⣿⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⡟⠀⡁⠀⠀⠀
⠁⠀⠀⠀⠀⣠⠙⠿⠻⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⡀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⢿⣿⣿⣿⡿⠋⠀⢠⡟⠀⠀⠀
⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢀⣿⣿⣿⣿⣿⣿⣿⡟⠈⠀⢀⢉⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢀⣿⡿⠛⣁⣤⣤⣾⣧⠀⠀⠀
⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠀⠀⡀⠀⣿⣿⣿⣧⣠⡌⣿⡄⢀⡾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠟⠋⠉⠉⠹⠿⠶⣤⣮⡟⠃⠀⠉⠉⠉⠁⠈⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠘⠛⠉⢙⡋⠻⠋⠿⠟⠛⠁⠀⠓⠆⣿⢿⣿⣿⣿⣿⣿⣿⠿⠋⣩⣿⣿⣿⣩⣭⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⢿⡿⠃⢾⢿⣶⣤⡄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠋⠀⠈⠻⢿⣿⠋⠁⢠⠀⣉⢻⣿⡿⠟⠛⠛⠉⠙⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠛⡿⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠇⠀⠀⠸⠀⠻⠛⢿⡅⠀⠀⠀⠀⠀⠈⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⡏⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⢠⣄⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⣤⣀⠀⠀⠀⠀⠀⡀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠠⣼⡏⠛⠷⢤⣤⣀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠤⠄⠤⠼⠁⠀⠀⠘⠻⣿⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢿⠆⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⢀⣤⣤⣀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣼⣿⣿⢀⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣆⣿⣿⣷⣶⡄⣠⣶⣶⣦⠀⣶⣶⣶⢠⣶⣶⣦⡀⣿⣿⢹⣿⡆⣿⣿⢿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⡇⣿⣿⣿⣿⢸⣿⡇⢿⣷⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⡇⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⡇⣿⣿⣿⣿⣸⣿⡇⣶⣟⣿⣿⢸⣿⣿⣿⡿⢹⣿⣿⣿⡇⣿⣿⣸⣿⠇⣿⣿⠀⢿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠃⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠛⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⠛⠇⠀⠀⠀⠀⠀⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⣀⠀⠀⠀⣀⣀⣠⣤⣀⠀⠀⠀⣀⣀⣀⡀⠀⣀⣀⣀⡀⠀⢀⣀⣀⡀⠀⢀⠀⢀⠀⠀⢀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⡏⠉⣿⠀⣾⡏⠉⣿⡏⠉⣿⠀⣾⡏⠉⣿⡇⣾⡏⠉⣿⡇⢰⣿⠉⣿⠇⢰⣿⠀⢸⣷⠀⣿⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣿⣇⣀⣿⣀⣿⣇⣀⣿⣇⢀⣿⡰⣿⡷⠶⣿⡇⣿⡗⠶⠛⠁⢸⣿⠀⠀⠀⢾⣿⠶⢾⣿⣀⣿⣶⣺⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡇⠀⣿⡟⣿⣿⠛⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀
⣿⣿⠟⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠛⠃⠀⠋⠀⣿⣿⠓⡿⢷⠘⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀
⠛⠁⠀⠀⠛⢿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⡏⠁⡀⠀⠀⠀
⠃⠀⠀⠀⠀⣠⠙⠿⠻⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢿⣿⣿⣿⡿⠋⠀⣠⡟⠀⠀⠀
⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠘⠀⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢈⠉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢀⣿⡿⠛⣁⣤⣤⣿⣧⠀⠀⠀
⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠀⠀⡀⠀⣿⣿⣿⣷⣠⡌⣻⡅⣀⡼⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠿⠛⠉⠉⠹⠿⠲⣤⣾⡟⠃⠀⠉⠉⠉⠁⠈⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠋⢩⡏⠻⠛⠿⠟⠛⠁⠈⠳⢖⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⣛⣛⣿⣿⣩⣭⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⢻⡿⠃⢸⠿⣶⣤⡄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠸⠏⠀⠈⠙⢷⣿⠋⠁⢀⠀⠛⢿⣿⡿⠛⠙⠛⠋⠙⣠⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠛⡿⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠇⠀⠀⠸⠀⠿⠻⣿⡄⠀⠀⠀⠀⠀⠈⣧⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⡟⠁⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⢠⣄⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠠⠤⠤⣼⡏⠻⠷⢤⣄⡀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠤⠤⠤⠼⠁⠀⠀⠘⢿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠿⠆⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⢀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣼⣿⣿⢀⣴⣶⣶⣄⢰⣶⣶⣶⣆⢠⣶⣶⣦⡀⣴⣶⣶⣄⢰⣶⣶⣶⣆⣿⣿⣷⣶⡄⣠⣶⣶⣦⠀⣶⣶⣶⢠⣶⣶⣦⡀⣿⣿⢹⣿⡇⣿⣿⢿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠘⣛⣧⣿⣿⢸⣿⡧⣿⣿⣿⣿⢸⣿⡇⢿⣷⣿⡛⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣼⣿⡇⣿⣿⠛⣿⣿⣼⣿⡇⣿⣿⢸⣿⡇⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⣿⣿⢸⣿⣏⣿⣿⢸⣿⡇⣿⣿⣿⣿⣸⣿⡇⣶⣟⣿⣿⢸⣿⣿⣿⡿⢹⣿⣿⣿⡇⣿⣿⣸⣿⠇⣿⣿⠀⣿⣿⣸⣿⡇⣿⣿⣸⣿⡇⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠘⠛⠛⠛⠈⠛⠛⠛⠛⠘⠛⠃⠛⠛⠈⠛⠛⠋⠀⠙⠛⠛⠋⢸⣿⠟⠛⠃⠚⠛⠛⠛⠃⠈⠛⠛⠋⠀⠛⠛⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⠛⠇⠀⠀⠀⠀⠀⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 2333

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2026/09/13/Efforts_to_Cancel_Matt_Mullenweg_Have_Made_Us_More_Sympathetic_.shtml
    Gemini version at gemini://gemini.techrights.org/n/2026/09/13/Efforts_to_Cancel_Matt_Mullenweg_Have_Made_Us_More_Sympathetic_.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Efforts to Cancel Matt Mullenweg Have Made
Us More Sympathetic Towards Mullenweg and More Sceptical of the People Who Run
Automattic (Named After Mullenweg)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Sep 13, 2026


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Matt_Mullenweg⦈_


Published yesterday: Matt_Mullenweg_Got_the_'Linus_Treatment'_or_'RMS
Treatment'


To me, Automattic ("matt" for the first name of Mullenweg, the founder of
Automattic; think of "linux" and "linus") is now suspicious and worthy of
scepticism, just like the so-called 'Linux'_Foundation.


Automattic will promote slop for money (i.e. sell 'user content' to serial,
reckless_plagiarists) and will abandon software freedom while trying to
marginalise its founder, who is an avid supporter of GPL/copyleft.


We are still "Standing_in_Solidarity_With_Matt_Mullenweg". Mullenweg, unlike
Automattic, is not "in it for the money", he just loves what he's doing (or
loved it until the Microsoft-connected lawfare began).


Two weeks ago we published: Stallman_Has_Explained_Slop_is_"Marketing_Hype
Campaign"_and_Torvalds_Agreed._The_Difference_is_the_Bribes. (made to 'Linux'
Foundation) █


    * Boosters_of_Omarchy_Are_No_'Underdogs'
    * SLAPP_Censorship_-_Part_182_Out_of_200:_UK_Dockets_With_Machine-Generated
      Applications_to_the_Court_(From_American_Slop_Companies)


⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣤⣤⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡿⣁⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣽⣶⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣭⣀⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣹⡷⡄⠀⢀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⣰⣿⣧⣿⣄⠘⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⢡⣼⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠋⣿⣿⣿⣿⣿⠿⠻⠿⢏⣤⣶⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣿⣿⡏⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠋⠀⠀⠀⠀⠄⠀⡛⢻⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣾⣿⣿⣿⡟⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠂⠀⠀⠀⠀⠀⠈⠿⢿⣷⣬⣝⣟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢿⣿⣿⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⡅⡆⠀⠀⠀⠀⠀⠀⠀⠉⠭⢽⢽
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⣤⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠀

                    ䷩ 𝚕𝚒𝚗𝚎 2403

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2026/09/13/General_Assembly_Covers_EPO_Strikes_on_Thursday_September_17th_.shtml
    Gemini version at gemini://gemini.techrights.org/n/2026/09/13/General_Assembly_Covers_EPO_Strikes_on_Thursday_September_17th_.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ General Assembly Covers EPO Strikes on
Thursday, September 17th (2026)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Sep 13, 2026,
updated Sep 13, 2026


Two days ago: EPO's_Local_Staff_Committee_Munich_Organises_General_Assembly
Next_Week,_the_Goal_is_to_Oust_the_Corrupt_President_and_Derail_His_Unlawful
Agenda


The EPO's staff representation at The Hague has asked people to join an
upcoming online session about industrial actions. Reproduced below is the
message that contains an outline or agenda:


     § Thursday 17th September, 11am: General Assembly of all staff -
     update on industrial actions⠀➾


     Dear colleagues,

     On Thursday 17th September at 11am, the Local Staff
     Committee The Hague will hold an online General Assembly for all
     staff to provide an update on the ongoing industrial actions
     concerning the Salary Adjustment Procedure (SAP).

     The meeting will include: 


         * information on participation in and impact of the industrial
           actions; 


         * information on upcoming milestones;


         * outlook for the coming months;


         * advice for handling productivity measures enforced by
           management. 


      At a time of continued social unrest and increasing pressure on
     staff employment conditions, it is important
     that staff remains informed and engaged. We therefore encourage
     all colleagues to attend. 
       
     Date: Thursday 17th September, 11:00 
     [...]


Munich's version of the same:


     § Invitation to all staff - General Assembly on Thursday 17 September
     [...]⠀➾


     On the agenda: The President’s Re-Election – How much will it cost
     staff? 
      
     Dear Colleagues,

     The Local Staff Committee Munich invites all staff to a General
     Assembly on Thursday 17 September, at 14.00 hrs to be held via [...].

     Agenda:


         * The President’s Re-Election – How much will it cost staff? 


         * AOB


     The Administrative Council will meet on 13 and 14 October to decide
     on the re-election of Mr Campinos for a third mandate. The costs for
     staff include the new salary erosion procedure adopted in June. More
     is coming: a change of the distribution key of renewal fees to the
     advantage of Member States. This will impact the EPO finances and
     require staff to pay again the price.

     The trade union SUEPO continues with the industrial action plan to
     fight the erosion of salaries, pensions and benefits with


         * Work-to-Rule actions,


         * All week days are days of “rolling strike” where staff is free
           to strike


         * Mondays and Fridays remain “recommended days” for a maximum
           number of staff to strike


     If this is what they do when all indicators are green, what will they
     do when they are red?!

     They cannot ignore us if we stand together

     Add the Outlook invitation to your calendar

     Please send your questions and comments in advance at [...]

     Timing: 17 September, 14.00 hrs


Go get 'em. █


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇General Assembly, The President’s Re-Election - How much
will it cost staff?⦈


    * Links_13/09/2026:_Republican_Campaign_Aide_Uses_Nazi_Photo_and_Convicted
      Felon_is_Wielding_Power_to_Stifle_Speech
    * Microsoft_Lunduke_of_'Linux_Sucks'_(and_Microsoft_Corp.)_Tries_to_Replace
      GNU/Linux_With_Toxic_Discussions_About_Toxic_Politics


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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⣿⢸⠨⢭⣿⡇⣿⣾⣷⣇⠭⢼⢬⢺⢸⢾⢾⡩⡥⡇⣿⢸⢸⣿⢬⢺⣿⣿⣯⢺⡩⠥⣿⣿⠸⠿⡇⣇⠭⣼⢾⢾⢸⢸⠸⢇⡇⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢘⡋⡜⣫⠻⡻⠋⡟⣿⡟⣩⢹⢙⡏⡿⡹⢫⣙⠇⡏⣿⣿⠻⢹⢫⢃⠇⡇⣾⡿⢸⢡⣿⡟⣍⡛⣫⠻⡟⠝⡏⣸⣿⡫⢝⡏⣼⠫⢹⠁⡍⣼⡶⣣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣿⣿⣷⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⢹⠛⣟⣿⢹⡟⣿⣿⣿⣿⡏⣿⢕⣻⢹⣿⡏⣧⣿⢵⡿⢻⢻⡟⡟⢻⢻⠛⣯⢹⢻⡛⣟⣿⢉⣯⡟⡟⣿⣿⡟⣿⢸⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣾⣾⣿⣶⣾⣶⣷⣾⣶⣷⣿⣷⣾⣾⣾⣷⣿⣿⣷⣾⣷⣿⣷⣷⣾⣾⣶⣷⣷⣷⣿⣾⣿⣾⣾⣿⣶⣿⣿⣿⣾⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 2595

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2026/09/13/IRC_Proceedings_Saturday_September_12_2026.shtml
    Gemini version at gemini://gemini.techrights.org/n/2026/09/13/IRC_Proceedings_Saturday_September_12_2026.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ IRC Proceedings: Saturday, September 12,
2026⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Sep 13, 2026


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Combination Lock Door Entry System⦈


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


                                              #techrights_log                                                                                           #boycottnovell_log


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


                                         #boycottnovell-social_log                                                                                        #techbytes_log


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


                          Enter_the_IRC_channels_now


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


===============================================================================
Image source: Combination_Lock_Door_Entry_System


===============================================================================
    * Televisions_Have_Become_Billboards
    * Over_at_Tux_Machines...


⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠓⠛⠛⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠛⠛⠛⠛⠿⠿⠿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢘⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢰⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⢻⠸⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠋⠉⠉⠉⠁⠀⠀⠀⠀⠀⠉⠉⠉⠙⠛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⢿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⠀⢀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠰⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⡆⠠⢠⡀⢸⣿⠇⢀⠀⠀⣹⣷⠈⠀⠀⠀⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣽⢰⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠁⠯⠥⠤⢾⡿⠰⠾⠥⠥⣘⡯⠠⠥⠄⠥⣼⡏⢠⣀⣀⣀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⢰⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣇⣄⠀⠀⠀⠀⠀⠀⠀⣿⣿⠢⡴⠶⠶⢸⡇⢐⡒⢰⣆⡿⡿⢀⣠⣤⣄⣿⡀⢠⣤⣤⡄⣤⣶⡀⠀⠨⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣟⣿⠈⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⣭⣉⠀⢉⣀⣂⢘⣋⠀⠉⠩⡈⣛⡃⠈⠚⠥⠘⠛⠃⠀⠤⠔⠈⠿⠿⠿⠾⢆⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣧⠉⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⠀⠀⠀⠀⠠⠀⣿⣿⠀⣤⣤⣤⣾⣿⢠⣤⣀⡀⣿⡏⢀⣀⣉⡀⣿⡇⢀⣉⣈⣠⣿⣷⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡿⣏⠄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⠀⠈⠁⠁⠀⢡⣿⣿⠀⠀⠀⠀⣿⣿⠈⠉⠉⠁⣿⡷⠈⠉⠉⢁⣿⡇⠈⠉⠙⢹⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⡂⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣾⣿⣿⣀⣀⣀⣀⣿⣿⣀⣀⣀⣀⣿⣿⠀⠀⠀⢸⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⡃⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡛⠛⠋⠉⠉⠉⠉⠉⠉⠉⠛⠛⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣀⣀⣀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣟⣭⣿⣿⡇⡆⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠅⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡷⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠟⠛⠛⠛⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⠛⠛⠛⠛⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢰⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠸⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠛⠛⠋⠉⠉⠉⠁⠀⠀⠀⠀⠀⠈⠉⠉⠙⠛⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡇⠀⠀⠀⢸⣿⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣵⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠿⠷⠦⢶⡿⠰⠾⠧⠷⢘⡿⠠⠥⠄⠥⢸⡇⢠⣀⣄⣀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣇⡄⠀⠀⠀⠀⠀⠀⠀⣿⣿⠠⡴⠶⠶⣸⡇⢠⣶⣦⣆⣼⡇⢀⣤⣤⣄⣾⠀⢀⣠⣤⡀⣤⣶⡀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣦⠀⠀⠀⠀⠀⠀⣍⣉⠀⠈⠀⠂⢘⡋⠀⠉⠭⠈⠛⠃⠈⠛⠭⠈⠛⠃⠀⠴⠶⠊⠾⠿⠿⠶⢾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⠀⣤⣤⣤⣼⣧⢠⣄⣀⡀⣿⡇⢀⣀⣈⣀⣿⡇⢀⣀⡀⣀⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠀⠀⠀⠀⠀⢰⣿⣿⠀⠈⠈⠉⣿⣿⠈⠉⠉⠉⣿⡇⠈⠉⠉⢉⣿⡇⠈⠉⠙⢻⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡏⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣾⣿⣿⣀⣀⣀⣀⣿⣿⣀⣀⣀⣀⣿⣷⠀⠀⠀⢸⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣗⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠛⠋⠉⠉⠉⠉⠉⠉⠉⠛⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡏⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣟⣽⣿⣿⡇⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⡇⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 2857

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2026/09/13/It_Sometimes_Feels_Like_Slop_Companies_Are_Committing_Online_Di.shtml
    Gemini version at gemini://gemini.techrights.org/n/2026/09/13/It_Sometimes_Feels_Like_Slop_Companies_Are_Committing_Online_Di.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ It Sometimes Feels Like Slop Companies Are
Committing Online/Digital Crimes⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Sep 13, 2026


Some well-meaning people feel like Techrights slowed down, but what actually
happened is, we've offloaded_to_three_sites_based_on_the_scope,_topic,_target
audience,_and_style.


20 years ago, before the_Web_'died', a visitor to a site typically meant an
actual visitor, not bot. In schestowitz.com, so far this month, this is what
bots are like as seen by AWStats:


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇AWStats⦈


"GPT" out of control. As usual. Using up bandwidth, CPU, RAM and so on.


They conflate waste of their energy with "their" value; of course this is also
wasting energy at my end (server) and aiming to destroy the value of my work by
turning it into low-grade slop, diluting things with poor copycats/imitations.


Slop (plagiarism) companies are hammering away at my personal site, in effect
working to plagiarise my work while labelling that "training" or "hey hi" or
whatever.


They also use borrowed money to bribe or mislead our politicians (they bribe
British publishers like The Register MS, for instance; politicians rely on
media) so that they can avoid regulations, dodge law enforcement, and secretly
settle lawsuits.


If this is the future of the Web (spoiler: it's not, this is a bubble!), then
maybe we need to get more people off the Web. Maybe we need to host our spaces
elsewhere, away from those scrapers and parasites that call themselves
"spiders".


If_you_work_for_a_slop_company,_then_you_should_be_ashamed_of_yourself.
Consider resigning immediately. You're a pest to the planet and a traitor to
human civilisation. You're not civilised and you work for uncivilised
sociopaths who think they're "Gods" because they're plagiarising everything
with impunity. █


    * Gemini_Links_13/09/2026:_Why_Omarchy_is_"Plain_Disgusting"_and_"AI_Slop"
      and_Why_"Plain_Text_To_Do_List"_Rocks
    * SLAPP_Censorship_-_Part_181_Out_of_200:_This_is_Really_More_Like_Brett
      Wilson_LLP_v_Schestowitz_(Using_Money_From_American_Slop_Companies,
      Plagiarism_Pushers)


⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢹
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                    ䷩ 𝚕𝚒𝚗𝚎 2939

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2026/09/13/MElon_s_Twitter_Takeover_Was_Meant_to_Amplify_People_Like_Himse.shtml
    Gemini version at gemini://gemini.techrights.org/n/2026/09/13/MElon_s_Twitter_Takeover_Was_Meant_to_Amplify_People_Like_Himse.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ MElon's Twitter Takeover Was Meant to
Amplify People Like Himself or David Heinemeier Hansson (Slop Pyramid Schemes
and Bigotry)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Sep 13, 2026


Complaining about him (DHH) in Twitter (x.com) is like buying all the burgers
to stop cow slaughter.


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Kingdom⦈


Wahhabi propaganda in social control 'media' clothing with a "tang" of MElon
and people who think_like_MElon. 4_days_ago:


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Elon Musk Has Been Calling Women “Breeders” Since His First
Marriage, His First Wife Says⦈


DHH (not Det_danske_Hedeselskabet) has been discussed here for nearby 20 years,
first due to his_blatant_arrogance_and_Apple_cheerleading, then because he
dislikes_software_patents and Microsoft.


DHH is one of several things: political liability, inventor/developer of some
important projects, or persona in social control media. His lack of presence in
social control media other than MElon's says something. In Microsoft's LinkedIn
he posts nearly nothing and YouTube is just the rare upload.


Social control media is not neutral. Its masters have an agenda; they control
what to amplify or choose to go "viral"; conversely they can also muzzle and
suppress some viewpoints and of course they routinely exercise the power to do
so. █


    * Microsoft_Lunduke_of_'Linux_Sucks'_(and_Microsoft_Corp.)_Tries_to_Replace
      GNU/Linux_With_Toxic_Discussions_About_Toxic_Politics
    * Microsoft_is_Laying_Off_All_Year_Long_(It's_Just_Keeping_Quiet_About_It)


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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣩⣭⣩⣉⣩⣹⣉⣩⣭⣏⣯⣍⣍⣭⣩⣩⣭⣭⣩⣉⣩⣉⣩⣏⣉⣩⣯⣝⣟⣛⣭⣽⣍⣛⣏⣭⣫⣋⣩⣯⣩⣍⣍⣉⣩⣩⣩⣯⣩⣝⣭⣟⣍⣭⣭⣩⣍⣩⣹⣋⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣤⣴⣮⣷⣼⣼⣤⣇⣼⣽⣭⣽⣥⣽⣮⣽⣥⣯⣽⣥⣭⣯⣧⣮⣝⣥⣯⣽⣤⣧⣥⣭⣻⣾⣽⣏⣭⣭⣭⣽⣥⣧⣭⣿⣥⣭⣭⣭⣵⣼⣽⣭⣧⣾⣭⣯⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⣍⣩⣭⣉⣇⣬⣹⣎⣈⣽⣉⣘⣏⣍⣧⣭⣉⣭⣥⣍⣹⣯⣩⣍⣡⣿⣋⣭⣩⣝⣍⣭⣍⣬⣭⣭⣭⣭⣯⣜⣟⣸⣨⣭⣯⣽⣱⣮⣵⣦⣧⣨⣉⣿⣯⣩⣍⣹⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⣭⣍⣹⣩⣇⣾⣬⣸⣡⣻⣭⣽⣡⣍⣽⣀⣫⣥⣭⣋⣼⣹⣉⣬⣙⣭⣽⣭⣮⣬⣹⣏⣥⣩⣯⣍⣥⣯⣿⣩⣍⣍⣭⣹⣭⣛⣩⣥⣭⣹⣭⣍⣏⣍⣭⣩⣭⣭⣹⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⣍⣩⣩⣹⣉⣇⣭⣉⣉⣯⣋⣉⣉⣉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡟⠛⠿⠿⡟⠟⠛⠿⠻⡟⠻⠿⢿⠛⠿⠿⠿⠟⣻⠿⠛⠿⠿⢻⠛⠻⠿⠿⠿⠻⡿⡟⠛⡿⠿⠿⠻⠟⠿⣛⡟⠛⠿⠿⠿⡟⠛⠿⡟⠛⢻⢿⢻⠻⠻⠟⠿⠻⠿⠿⢿⡟⠛⠿⡟⠛⠻⢿⢻⠛⠛⢻⠿⠛⡿⠿⠿⣿
⣧⣥⣶⣶⣧⣤⣦⣷⣴⣧⣶⣾⣾⣴⣶⣾⣶⣶⣶⣶⣶⣶⣶⣼⣴⣶⣶⣤⣶⣤⣿⣧⣦⣷⣶⣶⣶⣦⣷⣿⣷⣶⣶⣶⣾⣧⣶⣶⣧⣧⣼⣶⣾⣤⣴⣤⣷⣴⣶⣴⣾⣧⣴⣷⣧⣧⣼⣾⣼⣴⣦⣾⣾⣶⣶⣦⣷⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣯⣯⣽⣯⣭⣭⣭⣿⣿⣿⣿⣭⣿⣯⣯⣽⣭⣽⣯⣿⣿⣭⣯⣭⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠀⡠⠊⠉⠉⠉⠑⠂⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡇⠀⠀⠀⠀⡠⠊⠀⠀⠀⠈⠂⣄⠐⡗⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡇⠀⠀⠀⠀⠃⢀⣶⣷⣶⣶⣦⡈⢷⢘⡄⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣧⣀⠀⠀⠀⠀⠀⠀⠀⢁⣈⣙⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡇⠀⠀⠀⢠⢠⣿⣿⣿⣿⣿⣿⣿⠞⡟⢃⡀⠛⡄⠀⠀⠀⠀⠀⠀⠀⠀⢠⠄⣼⣿⣿⣿⣿⣿⡇⠀⢠⣷⠀⠀⢀⣿⣿⣿⣇⣠⢔⣖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡇⠀⠀⠀⢸⣔⢞⣙⣿⡿⡿⢿⣿⠀⢀⣿⣟⠷⠐⣤⣄⣀⣀⡀⠀⠀⢀⠇⢈⢸⣿⣿⣿⣿⣿⡗⠠⣤⣤⣵⣿⣿⣿⣿⣿⣿⣿⣧⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣶⣾⣿⠀⢾⣾⣿⣧⠀⢸⣿⣿⣿⣿⡿⠛⡿⢂⣤⣼⣿⣿⣿⣿⡟⠀⠀⡧⠀⣼⣿⣿⣿⣿⣿⣿⣽⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡇⠀⠀⠀⠸⣿⢳⣽⠾⢿⣿⣿⣿⠟⡜⢿⣿⢻⢦⡀⢿⣿⡿⠿⠇⢀⠹⢾⣧⣿⣿⣿⣿⣿⣶⣶⣿⡿⠿⠛⠛⠛⠛⠋⣩⣿⣿⣿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡇⠀⠀⠀⠀⢫⣦⣽⣯⣿⣿⡿⠟⠀⠀⠀⢹⠀⠠⡀⠀⢻⣧⡀⣠⣮⣀⡈⣼⠛⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⠀⠀⠀⢰⣿⣿⡿⠛⠁⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠻⡛⠛⣉⣭⣶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠿⠿⠍⣼⣿⣿⣿⣿⣿⡿⠿⠛⠛⠁⠀⠀⠀⠀⡙⠋⠀⠀⠀⠀⠀⠀⠈⠓⠄⠀⠀⣠⣶⣶⣤⣤⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠀⠈⢊⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⡟⠛⠋⠀⣠⣴⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠀⡐⠁⢽⣻⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠠⠀⢀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣟⣛⣛⣟⣛⣛⣟⣛⣻⣿⣿⣿⣿⣿
⡇⠀⠀⠀⠀⢀⠇⠀⠺⠃⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⣠⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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                    ䷩ 𝚕𝚒𝚗𝚎 3049

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2026/09/13/Microsoft_is_Laying_Off_All_Year_Long_It_s_Just_Keeping_Quiet_A.shtml
    Gemini version at gemini://gemini.techrights.org/n/2026/09/13/Microsoft_is_Laying_Off_All_Year_Long_It_s_Just_Keeping_Quiet_A.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Microsoft is Laying Off All Year Long (It's
Just Keeping Quiet About It)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Sep 13, 2026


Days ago: Earlier_This_Year_Microsoft's_Chief_Liar_Frank_Shaw_Lied_About_the
Layoffs._Now_He's_Leaving.


Hours ago:


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Another round of layoffs at Microsoft next Wednesday?⦈


Asking when or how many Microsoft will lay off is like asking the same about
IBM.


They've simply utilised methods to cheat investors and skirt the WARN Act. They
also subvert laws or legal obligations pertaining to severance.


"Already got pip'ed which is s form of layoff," someone wrote. We said the same
yesterday and earlier_today. They find tricks around the law, same_with_Cyber
Resilience_Act_(CRA)_in_the_EU.


"Heard most orgs are firing people instead." So said another comment. From what
we've heard, there are tons of Microsoft layoffs and even shutdowns this year.
The media barely reports on any of these.


The issue here is also the media. It's complicit. █


    * MElon's_Twitter_Takeover_Was_Meant_to_Amplify_People_Like_Himself_or
      David_Heinemeier_Hansson_(Slop_Pyramid_Schemes_and_Bigotry)
    * next


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⡏⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢹
⡇⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⢸
⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠟⡿⢿⣟⡻⢿⠿⣿⣿⢸
⡇⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠶⠿⠷⠾⠿⠷⠾⠿⣿⣿⢸
⡇⣿⡏⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢸
⡇⣿⣷⣤⣤⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢸
⡇⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢸
⡇⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⣶⣿⣿⣽⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⢸
⡇⣿⣿⣿⣿⣿⣿⣍⣩⣉⣿⣿⢸⣏⣉⢙⡙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸
⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸
⡇⣿⡟⠋⠙⢻⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢩⣏⣩⣿⡿⠛⠁⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢹⣿⢸
⡇⣿⣧⡀⢀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢸
⡇⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢸
⡇⣿⣿⣿⣿⣿⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣼⣿⢸
⡇⣿⣿⣿⣿⣿⣿⢟⠻⢻⣿⣿⣿⡟⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸
⡇⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣿⣿⣷⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸
⡇⣿⣿⠿⠿⣿⠟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢿⣿⢸
⡇⣿⡇⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢸
⡇⣿⣿⣶⣶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢸
⡇⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢸
⡇⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢸
⡇⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⢸
⡇⣿⣿⣿⣿⣿⣿⣕⣨⣹⣿⣿⣿⣇⣉⣉⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸
⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸
⡇⣿⡟⠉⠉⢻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⢸
⡇⣿⣧⣀⣀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢸
⡇⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢸
⡇⣿⣿⣿⣿⣿⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⣿⢸
⡇⣿⣿⣿⣿⣿⢻⠛⢻⡏⣿⠛⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸
⡇⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸

                    ䷩ 𝚕𝚒𝚗𝚎 3155

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2026/09/13/Microsoft_Lunduke_of_Linux_Sucks_and_Microsoft_Corp_Tries_to_Re.shtml
    Gemini version at gemini://gemini.techrights.org/n/2026/09/13/Microsoft_Lunduke_of_Linux_Sucks_and_Microsoft_Corp_Tries_to_Re.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Microsoft Lunduke of 'Linux Sucks' (and
Microsoft Corp.) Tries to Replace GNU/Linux With Toxic Discussions About Toxic
Politics⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Sep 13, 2026


Poisoning the well people drink from...


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Regarding Omarchy, Microsoft Lunduke: Omarchy is slop, slop
is bad, but Omarchy is intolerance, and intolerance is good, hence Omarchy is
good. So to Microsoft Lunduke, it is about politics, not tech; as his agenda is
political, not tech.⦈


There's nothing special about Omarchy, but the political angle attracts
attention_of_people_who_would_rather_ignore_the_slop.


Look away, Microsoft_Lunduke_never_existed_to_advocate_GNU/Linux. He mobilises
Internet_trolls - including_4Chan - to insult and sabotage actual advocates of
GNU/Linux. █


    * General_Assembly_Covers_EPO_Strikes_on_Thursday,_September_17th_(2026)
    * MElon's_Twitter_Takeover_Was_Meant_to_Amplify_People_Like_Himself_or
      David_Heinemeier_Hansson_(Slop_Pyramid_Schemes_and_Bigotry)


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

                    ䷩ 𝚕𝚒𝚗𝚎 3249

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2026/09/13/Over_at_Tux_Machines.shtml
    Gemini version at gemini://gemini.techrights.org/n/2026/09/13/Over_at_Tux_Machines.gmi

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


posted by Roy Schestowitz on Sep 13, 2026


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Fastening a Car Seatbelt into the Latch⦈


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


⚓  Updated This Past Day⠀⇛


      ⚓  Updates:⠀⇛


         1. Good_News!_CERN_is_Migrating_Over_2,200_Control_Systems_to_Debian
            13
            The migration would move accelerator control computers out of the
            Red Hat ecosystem
         2. Ubisoft_Does_Not_Like_GNU/Linux,_Blocks_Users_(Despite_Full
            Compatibility)
            DRM lovers wants rootkits
         3. Graphical_Desktop_Environments:_GEM,_Plasma/KDE,_and_GNOME_Calendar
            3 picks for today
         4. Linux_Mint_reveals_two_brand-new_desktop_apps
            Two new apps are coming to Linux Mint later this year: a new
            calendar and eBook reader
         5. openSUSE_Releases_Agama_24_Installer_with_Networking_and_Storage
            Improvements
            openSUSE releases the Agama 24 web-based installer for Tumbleweed,
            Slowroll, and MicroOS with improvements across networking, theming,
            storage, language, and other components.
         6. KDE_Plasma_6.8_Desktop_Environment_Is_Now_Available_for_Public_Beta
            Testing
            KDE Plasma 6.8 desktop environment is now available for public beta
            testing with various new features, improvements, and bug fixes.
            Here’s what’s new!
         7. Linux_Mint_Devs_Introduce_New_EPUB_Reader_and_Calendar_Apps
            Linux Mint devs introduce new apps for the upcoming Linux Mint 23
            release, including Xepub EPUB reader and Clockenstein calendar.
         8. Switzerland's_Federal_Government_is_Replacing_Microsoft_on_3,000
            Computers [original]
            This is the pilot phase, with 3,000 workstations moving away from
            Microsoft 365. The federal administration has over 54,000
            computers.
      ⚓  New:⠀⇛


         1. Today_in_Techrights
            Some of the latest articles
         2. KaOS_Linux_2026.09_Released_with_Noctalia_5.1,_Linux_Kernel_7.1,
            and_Mesa_26.2
            KaOS Linux 2026.09 distribution is now available for download as
            the second ISO snapshot using Dinit as the default init system
            instead of systemd. Here’s what’s new!
         3. Free,_Libre,_and_Open_Source_Software_and_Standards
            FOSS and more
         4. Events:_CERN_Pd_LibreOffice_Conference_2026
            2 events
         5. Web_Browsers/Web_Servers:_How_Google_Sees_Your_Site,_Firefox,_and
            More
            WWW picks
         6. GNU/Linux_and_BSD_Leftovers
            3 more links
         7. Audiocasts/Shows:_Hackaday_Podcast,_EuroPython_2026_Videos,_and
            More
            new things to watch
         8. GVfs_for_GNOME_51,_Bug_fixes,_and_This_Week_in_GNOME
            GNOME leftovers
         9. Tumbleweed_Review_of_the_Week_and_Planet_News_Roundup
            OpenSUSE news leftovers
        10. Ubuntu:_'Secure'_Boot_Causing_Catastrophe_Again,_Ubuntu_26.10,
            Ubuntu_Telemetry_(Surveillance),_and_More
            Canonical/Ubuntu picks
        11. Mostly_Slop_From_Red_Hat_Again
            Slop and a little more
        12. Programming_Leftovers
            Development related leftovers
        13. Collabora,_Linux_Kernel,_and_Graphics_Work
            kernel level stuff
        14. today's_howtos
            Instructionals/Technical posts
        15. Security_Leftovers
            bugs, news, and laws
        16. Desktop/Laptop_GNU/Linux_and_Moving_From_Windows
            3 picks
        17. Games:_Shroom_and_Gloom,_The_Crust_1.0,_Rootkits_('Anti-cheat')_in
            Linux_"Normalised"
            gaming picks
        18. Open_Hardware/Modding:_Arduino,_PocketBeagle_2_TechLab,_and_More
            hardware picks
        19. Linux-Based_ATSC_3.0_Converter_Box
            a pair of articles or press releases
        20. Debian_13.7_“Trixie”_Released_with_106_Bug_Fixes_and_107_Security
            Updates
            Debian 13.7 is now available for download as a new point release to
            Debian 13 “Trixie” with 106 bug fixes and 107 security updates.
        21. Android_Leftovers
            4 surprisingly useful ways to use your Android phone's built-in NFC
            reader
        22. I_ran_Arch_Linux_for_5_years_—_Fedora_does_the_same_job_with_less
            work
            I've been an Arch user for five years, and it's been a love-hate
            relationship
        23. Canonical_has_pulled_Ubuntu_24.04.5's_installer_because_it_blew_up
            when_you_tried_an_extended_install
            The vast majority of OS bugs happen while it's running
        24. Option_to_set_default_terminal_is_coming_to_GNOME_Settings
            An option pick a default terminal is to GNOME Settings, as the
            image above, teased by developer Ignacy Kuchciński last week
        25. GNU/Linux_Growing_Fast_in_Switzerland [original]
            Well done to them
        26. Best_Free_and_Open_Source_Software
            This is free and open source software
        27. EnigmarsOS_–_privacy-focused_Arch-based_Linux_distribution
            EnigmarsOS is an Arch-based Linux distribution built around KDE
            Plasma
        28. Revenant_OS_–_local-first_AI_Linux_distribution_for_rugged_field
            laptops
            Revenant OS is a Linux distribution designed for rugged field
            computing
        29. Planet_KDE:_I_just_want_us_to_feel_something…
            Koko is KDE's image viewer
        30. Kdenlive_26.08.1_released
            The first maintenance release of the 26.08 series is out with the
            usual batch of stability fixes and workflow improvements
        31. This_Week_in_Plasma:_6.8_Beta_Release!
            This week we released a beta of Plasma 6.8, and it’s ready for
            testing
        32. Stable_kernels:_Linux_7.2.5,_and_Linux_6.18.51
            I'm announcing the release of the 7.2.5 kernel
        33. Today_in_Techrights
            Some of the latest articles
      =========================================================================
      The corresponding text-only bulletin for Saturday contains all the text.
      Top-read articles (excluding bot/crawler visits):


      1147 /n/2026/09/02/
           Ubisoft_Does_Not_Like_GNU_Linux_Blocks_Users_Despite_Full_Compa.shtml


      1063 /n/2026/09/06/Planet_KDE_State_of_the_Map_2026.shtml


      1043 /n/2026/09/07/Linux_7_3_rc2.shtml


      979  /n/2026/09/04/today_s_leftovers.shtml


      948  /n/2026/09/09/Europe_at_Almost_7_GNU_Linux_Desktop_Laptop_Share.shtml


      913  /n/2026/09/03/
           Good_News_CERN_is_Migrating_Over_2_200_Control_Systems_to_Debia.shtml


      909  /n/2026/09/06/
           Switzerland_s_Federal_Government_is_Replacing_Microsoft_on_3_00.shtml


      862  /n/2026/09/07/
           Asahi_Linux_takes_on_Apple_M3_minus_a_few_creature_comforts.shtml


      806  /n/2026/09/08/Microsoft_Crisis_in_the_US.shtml


      782  /n/2026/09/06/
           Distributions_and_Operating_Systems_Trusting_Trust_Attack_FreeB.shtml


      764  /n/2026/09/06/Programming_Leftovers.shtml


      761  /n/2026/09/09/
           NVIDIA_615_Linux_Graphics_Driver_Improves_Support_for_Vulkan_Na.shtml


      734  /n/2026/09/05/Wine_11_17.shtml


      729  /n/2026/09/06/New_Releases_Liya_Linux_Abora_OS_and_ReactOS.shtml


      725  /index.shtml


      715  /intro.shtml


      711  /litigation.shtml


      705  /n/2026/09/06/Android_Leftovers.shtml


      697  /n/2026/09/09/
           GNOME_51_Release_Candidate_is_Available_for_Testing.shtml


      695  /n/2026/09/08/
           KDE_Plasma_6_7_5_Desktop_Environment_Is_Out_with_Many_Improveme.shtml


      694  /n/2026/09/06/
           I_discovered_KDE_s_hidden_superpowers_after_installing_these_3_.shtml


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      687  /n/2026/09/09/
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      687  /n/2026/09/06/today_s_howtos.shtml


      680  /n/2026/09/11/
           The_60_year_old_Unix_design_choice_that_made_the_Linux_desktop_.shtml


      675  /n/2026/09/09/
           Pulsar_OS_Linux_distribution_with_a_macOS_style_workflow.shtml


      672  /n/2026/09/09/Programming_Leftovers.shtml


      665  /n/2026/09/07/Android_Leftovers.shtml


      659  /n/2026/09/07/today_s_howtos.shtml


      652  /n/2026/09/06/Programming_Leftovers.1.shtml


      650  /n/2026/09/08/
           KDE_Plasma_Gwenview_Replacement_and_Harmonicon_Weekly_Update.shtml


      650  /n/2026/09/08/today_s_howtos.shtml


      649  /n/2026/09/07/Programming_Leftovers.shtml


      649  /n/2026/09/06/
           LyargoOS_opinionated_Void_Linux_based_distribution.shtml


      648  /summary.shtml


      643  /n/2026/09/09/Security_Leftovers.shtml


      629  /n/2026/09/08/Programming_Leftovers.shtml


      622  /n/2026/09/08/Security_Leftovers.shtml


      622  /n/2026/09/06/
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      620  /n/2026/08/18/
           Debian_Deciding_Whether_to_Ban_Slop_Plagiarism_in_Debian_Develo.shtml


    * IRC_Proceedings:_Saturday,_September_12,_2026
    * Windows_Down_to_New_Lows_as_Switzerland's_Federal_Government_Abandons
      Microsoft_(Where_Feasible_for_Now)


⠀⠀⢨⣿⣿⣿⣶⣷⣵⣦⣶⣦⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣶⣀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠙⢿⣿⣭⣍⣀⣈⡉⠉⠈⠁⠈⢈⣠⡤⢾⠫⠻⠿⠿⠻⠛⠉⠙⢫⣻⣋⣙⣛⣛⣙⣛⢻⠿⠿⠿⠿⠛⠽⠿⠿⠿⠿⢞⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⡝⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠛⠛⠀⣀⡀⠤⠀⠀⠒⠖⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣿⡷⡸⠋⠅⠀⠀⠀⠀⠀⠀⣐⣠⡉⠀⠙⠋⢋⣉⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠂⠤⠀⠀⠀⠀⠀⠁⠩⢟⣛⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣰⠁⣀⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣦⡀⠀⠐⠘⠛⣲⠛⡿⠛⠟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠁⠀⠐⠒⠒⠒⠖⠒⠒⠐⠊⠓⠛⠻⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡇⠀⢀⣤⣾⣿⣿⣿⣿⣦⡀⢳⡜⠉⠛⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣷⣷⣶⡮⠿⠿⠿⣿⢿⣿⣿⣇⠀⣁⠈⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⣤⣄⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣭⣭⣶⣶⣾⣿⣿⣿⣿⣾⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣦⡄⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣧⡀⠀⠛⠛⠛⠛⢛⣛⣛⣛⣛⣛⣛⠛⢁⣿⣿⡿⢹⣿⣿⣿⣿⣿⣿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⢐⣿⣿⣿⣷⣾⣿⣿⣿⣿⣭⣭⣭⣤⣥⣬⣁⣈⢿⣿⣿⣿⣿⣿⡝⠈⠊⡛⠋⡿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠏⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⢿⣿⣿⣧⠀⠀⠀⠀⠠⠁⢱⡥⠅⣡⡟⢩⣽⣽⣿⣿⢭⣿⠿⡯⠿⠯⠷⠿⠿⠟⠻⠻⠛⠓⠛⠙
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⣀⠀⠀⠠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠈⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡄⠙⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣷⣶⣶⣶⣶⣶⣶⣶⣦⣬⣭⣭⣭⣭⣭⣭⣭⣽⣿⣯⣭⣴⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠋⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢸⣿⣿⣿⣷⣧⣶⣤⣶⣦⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣶⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠙⢿⣿⣭⣍⣀⣋⡉⠉⢉⠁⠈⢈⣰⡤⠾⠫⠹⠿⠿⠻⠛⢉⣙⣟⣛⣋⣙⣛⣛⣛⢛⠻⠿⠿⠿⠿⠛⠻⠿⠿⠿⠿⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠛⠛⠀⣈⠀⠄⠀⠀⠒⠖⢒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⡟⠛⠁⠀⠀⠀⠀⠀⠀⣐⣀⡉⠈⠙⠛⣉⣩⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠀⠠⢀⠀⠀⠀⠀⠁⠭⣿⣛⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⠀⣀⣠⣠⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣤⡀⠀⠐⠘⠛⡻⠛⡿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠃⠀⠐⠒⠖⠒⠒⠒⠒⠀⠊⠛⠛⠻⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠇⠀⢀⣴⣾⣿⣿⣿⣿⣦⡀⢁⣿⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣷⣶⡟⠿⠿⠿⠿⣿⣿⡟⣇⠀⣉⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣤⣄⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣭⣭⣿⣿⣷⣿⣿⣿⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣦⡄⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣧⠀⠀⠛⠛⠛⠟⣛⣛⣛⣛⢛⣛⣛⠟⢁⣿⣿⡿⢹⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣭⣭⣥⣭⣅⣈⢿⣿⣿⣿⣿⣿⡟⠈⠋⠛⠋⡿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠏⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⢁⡅⠍⣩⡝⢩⣽⣿⣿⣿⢽⡿⢿⣿⠿⠿⠿⠿⠿⠾⠛⠻⠟⠛⠛⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡄⠹⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢹⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣷⣶⣶⣶⣶⣶⣶⣦⣤⣬⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 3592

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2026/09/13/PIPs_Are_a_Setup_They_Set_Workers_Up_to_Fail_While_Working_Thei.shtml
    Gemini version at gemini://gemini.techrights.org/n/2026/09/13/PIPs_Are_a_Setup_They_Set_Workers_Up_to_Fail_While_Working_Thei.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ PIPs Are a Setup: They Set Workers Up to
Fail While Working Their Arse Off Before Getting Kicked (Out) in the
Arse⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Sep 13, 2026


Malicious and exploitative; that's why many people placed on a PIP (worse than
a de facto unpaid garden leave) simply resign or start looking for another job
at another company, then leave without compensation


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇They told me to work even harder; Then they ignored my hard
work⦈


Somebody asked_some_minutes_ago_in_the_IBM_layoffs_board, an unofficial but
popular forum: "Do you know of anybody who defeated (for lack of a better word)
a PIP?"


No comments yet.


Last night we showed that Microsoft does the same thing right now. In Microsoft
it is "LITE" or "Voluntary_Separation_Agreement"_(or_PIP) - one way or another
they get rid of many workers.


They call it silent layoffs. Trying to meet "goals" or "targets" of a PIP is
futile, foolish, and counterproductive. So say many people. Even if some
impossible-to-meet quotas are miraculously matched (by overworking, which
stresses the body and mind), IBM will still give marching orders (RAs, some
time later, it's meant to look unrelated). The real aim is to get people to
leave 'voluntarily' because it is cheaper for IBM to nudge people out than to
force them out.


IBM cannot say this out loud as any such statement would be used in a class
action lawsuit. █


    * SLAPP_Censorship_-_Part_181_Out_of_200:_This_is_Really_More_Like_Brett
      Wilson_LLP_v_Schestowitz_(Using_Money_From_American_Slop_Companies,
      Plagiarism_Pushers)
    * Boosters_of_Omarchy_Are_No_'Underdogs'


⠀⠀⠀⠀⠐⢤⠀⢉⣿⣿⣿⣿⣿⣿⣤⠳⠏⢨⣍⣁⣀⢀⣀⢀⣀⡀⣄⣀⡀⣄⡄⣀⡄⠀⣄⣈⣿⡟⢀⣤⣄⡀⢀⣀⠁⢀⣀⣀⣸⣷⣤⣶⣀⡀⣀⣀⠀⣀⣩⡝⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠈⠐⠈⣿⣯⢩⢿⣩⣿⡿⣿⣧⠈⢹⣿⡏⢸⣿⣸⣿⡇⣿⡏⠁⢹⣧⣿⠃⠀⠉⣿⣯⡅⣿⡏⣿⡇⢸⣿⠀⢸⣿⢹⣿⣽⣿⣿⣿⣧⣿⣿⠀⣿⡏⡁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠘⠁⠁⠀⠀⠈⢱⣽⡟⠖⠉⠓⠀⢸⣿⡇⢸⣿⢻⣿⡇⣿⡟⠃⠈⣿⡏⠀⠀⠀⣿⣿⠃⣿⡇⣿⡇⢸⣿⠀⢸⣿⢸⣿⢻⡟⣿⡟⣿⣿⣿⠀⣿⡟⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⠿⡷⠀⠀⠀⠁⠸⠿⠇⠸⠿⠸⠿⠇⠿⠷⠶⠀⠿⠇⠀⠀⠀⠿⠿⣶⡻⠷⠿⠃⠸⠿⠶⠸⠿⠾⠿⠀⠀⠿⠇⠿⠹⠿⠀⠿⠷⠆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⣀⣀⣀⣀⢀⣀⣀⡀⠀⢀⣁⠀⣀⡀⢀⣀⠀⣀⣀⡀⢀⣀⣀⣀⠀⣀⡀⣀⡀⠀⢀⣀⣀⢀⣛⡟⣀⡀⣀⣀⡀⣀⡀⢀⣀⠀⠀⣀⡀⣀⡀⢀⣀⣀⠀⣀⣃⣛⡿⢿⣛⣛⣻⠿⣛⣛⣻⣟⣛⣛⣿⣿⣿⣿⣿
⠀⠀⠀⠉⣿⣿⠉⣾⡏⣿⣷⠀⠸⣿⣰⣿⣇⣾⡿⢸⣿⢹⣿⢸⣿⢙⣿⠄⣿⣧⣿⠃⠀⢸⣿⠋⠸⣿⣇⣿⡇⣿⡏⠁⣿⣿⣸⣿⠀⠀⣿⣇⣿⡇⢸⣿⣿⡆⢸⣿⢹⣿⢸⣿⢹⣿⡇⣿⡟⠇⣿⣿⢹⣿⣿⣿⣿⣿
⠀⠀⠀⠀⣿⣿⠀⣿⡇⣿⣿⠀⠀⣿⣿⡟⣿⣿⡇⢸⣿⢸⣿⢸⣿⠻⣿⡀⣿⣿⣿⠀⠀⢸⣿⠛⠀⣿⣿⣿⠁⣿⡟⠃⣿⡿⣿⣿⠀⠀⣿⡟⣿⡇⣸⣟⣿⡇⢸⣿⢻⣯⢸⣿⢸⣿⡇⣿⡟⡇⣿⣿⢻⣧⣿⣿⣿⣿
⠀⠀⠀⠀⣿⣿⠀⠻⣷⣿⠟⠀⠀⢿⣿⡇⣿⣿⡇⠸⢿⣼⠟⢸⣿⠇⣿⠇⣿⡇⣿⣇⠀⢸⣿⣶⡆⢻⣿⣿⠀⣿⣷⣶⣿⡇⢻⣿⠀⠀⣿⡇⣿⡇⣿⡏⢹⣿⢸⣿⢸⣿⢸⣿⣾⣿⣇⣿⣷⣶⣿⣿⣸⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⢰⣶⣶⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠀⡶⠄⠤⣤⡀⠀⠀⠀⠀⠀⠀⢸⡁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡛⢻⣾⠙⠻⣷⣮⠉⠀⠀⠀⠀⠀⠀⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡼⠷⠤⠀⢻⣤⣠⠌⡋⣠⠾⠿⠶⣄⠀⠀⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠀⠀⠀⠀⠀⠹⠿⠋⢡⣿⣷⣀⣴⡏⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣧⣿⣿⣟⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢘⣿⣿⣷⣟⣩⠟⠁⠀⢸⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣶⣄⠀⠀⠀⠀⣴⣿⣜⣿⣿⣿⠟⠀⠀⠀⠀⢸⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⣀⣄⢠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⣿⣿⣿⣿⣿⣧⣤⣤⣶⠿⢿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣔⣂⣴⣼⣿⣧⣤⣿⣿⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣹⣿⣿⣿⡛⢛⡿⠏⠁⣿⣿⣯⣾⣿⣿⠀⠀⠀⠀⠀⣿⢼⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀
⠀⠀⠠⣀⢤⣴⣶⣾⣿⡛⢩⢿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠻⣿⣿⡿⠻⠿⠉⠚⠁⠀⠿⠏⠉⢻⣿⣿⣿⣷⠀⠀⠀⠀⣿⢸⣿⣿⣿⣿⢗⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀
⣠⣶⣿⣾⣯⣽⣿⣿⣿⣷⣿⣷⣿⣿⡟⠀⠀⡠⠖⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⣤⣤⠀⠀⠀⠀⠀⣄⣹⣿⣿⣿⡿⠀⠀⠀⠀⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠁⠁⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⠇⠀⠀⠀⢠⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡛⣿⣿⣿⣿⡶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡆⠀⠀⠀⠀⠀⠀⢠⡄⠀⠀⠘⢿⣿⣿⡿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠙⣻⣿⣿⣿⣿⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⣋⣻⣿⡿⣿⣿⣷⣤⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠐⠒⠀⠀⠀⠀⢀⣰⣿⣿⠁⠀⠀⠀⠀⢸⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢤⣿⣿⣿⣿⡏⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣧⣤⣆⠤⣤⡉⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠘⢿⣿⠟⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣷⣀⡄⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⡀⠀⣸⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⡏⠛⣿⣿⣿⣿⣿⢿⠯⠝⠟⠁⣛⣿⣟⢻⣿⣿⣿⢿⣟⠆⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡀⠀⠀⠀⠀⠀⠀⠀⣿⣦⣿⣧⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀
⣿⣿⣿⣿⠽⠙⠑⠂⠙⠑⠄⠘⣿⡔⠛⣶⣶⢶⣿⡿⡁⠈⠈⠑⠟⠟⠋⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⡄⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀
⠛⠋⠃⠈⠀⠀⠀⠀⠀⠁⠰⠾⢿⣅⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⢴⣶⡶⠶⠆⠊⣇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡤⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⢀⣷⡄⠀⠒⢿⠿⠾⠟⠋⡿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠔⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡷⡟⣶⣾⣿⠟⠻⠛⠁⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣦⢀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⡀⠀⠀⢀⣩⠀⠀⠀⠙⠥⠿⠿⠋⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⣥⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠠⠄⠀⠀⠀⠸⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢿⠿⠿⢿⠿⠿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿
⠀⠛⣿⠃⣿⣸⡇⣿⡃⣿⣼⡇⠘⢻⡟⢸⣇⣿⢸⣟⠸⣧⡏⠀⣿⢰⡟⠷⢸⣧⣿⢰⡟⣷⢸⣟⡇⣿⣟⢸⡟⣷⠀⢸⣷⣿⡇⢿⣼⠃⢸⣇⣿⢠⡿⡇⢻⣿⡇⣿⢻⡇⠉⣿⣸⡇⣿⢸⡟⣷⢸⣟⡧⣿⣿⡏⣿⣿
⠀⠀⣿⠀⣿⢹⡇⣿⣁⣿⢻⡇⠀⢸⡇⢸⡏⣿⢸⣏⠀⣿⠁⠀⣿⢸⣏⣿⢸⡿⣿⢸⣇⣿⢸⣿⣇⣿⣏⢸⣇⣿⠀⢸⣿⣿⡇⢸⣏⣾⢸⡏⣿⢸⡷⣿⢸⣿⡇⣿⣸⡇⠀⣿⡿⣿⡿⢸⣇⣿⢸⣿⣧⣿⣿⡆⣿⣿
⠀⠀⢉⢀⣉⣈⡁⠉⠁⠉⠈⠁⠀⠈⠁⠈⠁⠉⠈⠉⠀⠉⠀⠀⠉⠀⠉⠈⠈⠁⠉⠀⠉⠀⠈⠀⠁⠈⠉⠈⠉⡥⣄⡈⢨⣁⣁⣸⣿⣿⣮⣥⣭⣬⣥⣭⣬⣥⣥⣭⣭⣴⣿⣮⣵⣬⣥⣦⣭⣷⣮⣥⣥⣬⣬⣽⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 3688

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⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ SLAPP Censorship - Part 181 Out of 200:
This is Really More Like Brett Wilson LLP v Schestowitz (Using Money From
American Slop Companies, Plagiarism Pushers)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Sep 13, 2026


We approach the parts where we explain that the Application to the Court with
Garrett's name on it was instead complaining about fair criticism of the
combative law firm (irrelevant_to_any_injunctions) as if it was impermissible
to explain what it had done - and still_does - to my wife and I


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇We need people to sponsor our lawfare⦈


Two months ago a hearing_ended and there was coordination_or_tag-teaming with
the man_arrested_for_strangulation - the Microsoft_man_who_had_even_told_his
girlfriend_to_kill_herself.


This is the_sort_of_psychology of people we've dealt with for years. Moreover,
unless these_two_men_from_American_are_eating_from_the_same_bowl_of_papers
(even the same words, demanding a soup of copypasta to respond expensively to
their copypasta), it would seem like their solicitors are engaged in
misconduct/malpractice (failing to keep clients insulated/separate). Remember
that they were_unable_to_sustain_the_artificial_posturing_(lie)_that_those_are
separate_cases. They're double-dipping inside a court based in another
continent, using hired_guns_as_intercontinental_proxies.


While we eagerly look forward to next year with the Court of Appeal hopefully
having a say [1, 2] (recently_my_barrister_beat_their_barrister_there) we press
on with this series. My barrister will be mentioned soon, as he did cross-
examination two months ago, basically exposing the dishonesty of the fall guy
who had repeatedly bullied our solicitor. The fall guy's client was ill-
prepared or improperly prepared for what it takes to start lawsuits at the High
Court (it's for millionaires and royals, sometimes for large businesses); he
himself was put in an uncomfortable position because the Court is not_a_place
for_"funny"_spectacles_or_PR_charades. They took deplorable Americans as
clients and now they're unable to find any litigation clients (none in media
this year). Lawsuits are expensive, definitely more_than_Garrett_can_afford
without Sugar_Daddies, but his solicitors should have advised him accordingly
(it seems like the_ones_he_had_in_2021 did). Instead they served their own
interests, as we explained yesterday [1, 2], in effect milking him and then
attacking_his_spouse (whose money was apparently misused for litigation because
of the husband's ego/Hubris).


As anticipated and promised yesterday, more gory details will be published on
Monday (tomorrow) onwards, based on my notebooks. I try to keep all parts short
during weekends.


Garrett chose not to attend his own hearing (any of the 4 days, 6 if one counts
the intervening weekend; he was in London at the same), so he relies on hearsay
about the_"embarrassment" and anything he says about the hearing should be
treated as unverified gossip, stuff spoon-fed to him to save face. █


Previous Parts:


2026- Microsofters'_SLAPP_Censorship_-_Part_1_Out_of_200:_Claim_No._KB-2024-001270_in
03-03 a_Nutshell


2026- Microsofters'_SLAPP_Censorship_-_Part_2_Out_of_200:_Detailed_Timeline_From_2012_
03-04 (Attack_on_Reporters_That_Question_Restricted_Boot)_to_2024_(Lawsuit_Against
      Reporter_and_His_Wife_in_Another_Continent)


2026- Microsofters'_SLAPP_Censorship_-_Part_3_Out_of_200:_A_More_In-Depth_Breakdown
03-05


2026- Microsofters'_SLAPP_Censorship_-_Part_4_Out_of_200:_Rianne’s_Version_of_Events
03-06 and_Narrative


2026- Microsofters'_SLAPP_Censorship_-_Part_5_Out_of_200:_Clearly_Not_a_Security
03-07 Professional/Expert,_Only_Ever_Pretending_to_be_One


2026- Microsofters'_SLAPP_Censorship_-_Part_6_Out_of_200:_Intentionally_Misnaming
03-08 Women,_People_Who_Offered_to_Testify_That_They_Too_Had_Been_Subjected_to_Similar
      Abuse


2026- Microsofters'_SLAPP_Censorship_-_Part_7_Out_of_200:_Like_With_the_Serial
03-09 Strangler_From_Microsoft,_Misuse_of_UK-GDPR_to_Try_to_Hide_Embarrassing_Facts


2026- Microsofters'_SLAPP_Censorship_-_Part_8_Out_of_200:_Gross_Misuse_of_UKGDPR_to
03-10 Protect_the_Agenda_of_American_Back_Doors_(Mass_Surveillance)


2026- Microsofters'_SLAPP_Censorship_-_Part_9_Out_of_200:_5RB_Barrister_Does_Not_Even
03-11 Know_the_Name_of_His_Own_Client_(That_He_Was_Paid_Well_Over_$200,000_to_'Speak'
      or_'Cover'_for)


2026- Microsofters'_SLAPP_Censorship_-_Part_10_Out_of_200:_Showing_Public_Tweets_is
03-12 Not_a_Privacy_Violation,_But_This_Isn't_About_Justice,_It's_About_Censorship


2026- Microsofters'_SLAPP_Censorship_-_Part_11_Out_of_200:_Cannot_Censor_His_Spouse,
03-13 Accusations_Are_Repeated_Today


2026- Microsofters'_SLAPP_Censorship_-_Part_12_Out_of_200:_Months_Ahead_of_Serial
03-14 Strangler_From_Microsoft_Who_Helped_Double_the_Lawsuits_(Funded_by_Third
      Parties)_as_'Revenge'_for_Exposing_Crimes


2026- Microsofters'_SLAPP_Censorship_-_Part_13_Out_of_200:_Abuse_of_Process_to_Make
03-15 False_Accusations_of_UKGDPR_Violations


2026- Microsofters'_SLAPP_Censorship_-_Part_14_Out_of_200:_The_Abusive_Cases_of_the
03-16 Serial_Strangler_From_Microsoft_and_His_Litigation_Buddy_Garrett_Did_Cause
      "Serious_Harm"


2026- Microsofters'_SLAPP_Censorship_-_Part_14_Out_of_200:_Men_Who_Strangle_Women_(and
03-17 Worse)_Trying_to_Force_Us_to_Write_Public_Apologies_to_These_Men


2026- SLAPP_Censorship_-_Part_15_Out_of_200:_Background_and_Particulars_of_Truth
03-18 Regarding_Techrights_and_Tux_Machines


2026- SLAPP_Censorship_-_Part_16_Out_of_200:_Detailing_the_Actors_and_Explaining
03-19 Techrights'_Own_Internet_Relay_Chat_(IRC)_Network


2026- SLAPP_Censorship_-_Part_17_Out_of_200:_A_Long_Track_Record_of_Online_Abuse,_Then
03-20 Choosing_a_Low-Cost_Law_Firm_to_Muzzle_People_Who_Have_Illuminated_This_Abuse
      for_Over_a_Decade


2026- SLAPP_Censorship_-_Part_18_Out_of_200:_Third_Parties_Funding_Attacks_on_the
03-21 Messengers,_Lawsuits_Against_GAFAM-Critical_Voices_That_Uphold_Real_National
      Security


2026- SLAPP_Censorship_-_Part_19_Out_of_200:_They_Were_Ill-prepared_for_Tough
03-22 Questions_in_Cross-Examination


2026- SLAPP_Censorship_-_Part_20_Out_of_200:_All_Roads_Lead_to_Rome_and_to_GAFAM
03-23 Funding


2026- SLAPP_Censorship_-_Part_21_Out_of_200:_It's_About_Behaviour_Online,_Not_How_Much
03-24 Money_From_Shadowy_Third_Parties_Gets_Spent_on_Lawyers_and_Two_Barristers


2026- SLAPP_Censorship_-_Part_22_Out_of_200:_When_You_Complain_People_Impersonate_You
03-24 in_IRC_(But_You_Yourself_Impersonate_People_in_IRC_and_Lock_Them_Out_of_Their
      IRC_Handles)


2026- SLAPP_Censorship_-_Part_23_Out_of_200:_We_Were_Right_All_Along_(for_2_Years)
03-25 About_Third_Party_Funding_and_Willingness_to_'Break_the_Bank'_in_Pursuit_of
      "Revenge"


2026- SLAPP_Censorship_-_Part_24_Out_of_200:_The_Failed_Effort_by_Brett_Wilson_LLP_to
03-26 Strike_Out_My_Lawsuit_and_My_Wife's_Lawsuit_Against_Garrett_(the_Master_Allowed
      Our_Lawsuits_to_Proceed)


2026- SLAPP_Censorship_-_Part_25_Out_of_200:_That_Time_Matthew_J._Garrett_Got
03-27 Temporarily_Banned/Suspended_From_Twitter


2026- SLAPP_Censorship_-_Part_26_Out_of_200:_Asking_for_Documents_and_Information_You
03-28 Already_Have,_Even_Letters_and_E-mails_That_You_Yourself_Sent!


2026- SLAPP_Censorship_-_Part_27_Out_of_200:_Using_the_Tor_Network_to_Hide_From
03-29 Consequences


2026- SLAPP_Censorship_-_Part_28_Out_of_200:_Facing_Consequences_for_Impersonation_and
03-30 Worse


2026- SLAPP_Censorship_-_Part_29_Out_of_200:_Violent_Language_Won't_Go_Away_When_You
03-31 Use_It_in_Your_Site,_Blog,_and_Social_Control_Media


2026- SLAPP_Censorship_-_Part_30_Out_of_200:_The_Time_We_Reported_Abuse_to_Greater
04-01 Manchester_Police_(GMP)_and_It_Was_Escalated_to_Its_Cybercrime_Unit


2026- SLAPP_Censorship_-_Part_31_Out_of_200:_Speaking_About_20+_Years_of_Alleged
04-02 Harassment/Defamation_and_High-Profile_'Targets'_of_Garrett


2026- SLAPP_Censorship_-_Part_32_Out_of_200:_Garrett_Made_Spurious_Requests_(Later
04-03 Withdrawn)_the_Same_Week_Someone_He_Later_Spoke_to_by_E-mail_Sent_Threats_to_Our
      Webhost


2026- SLAPP_Censorship_-_Part_33_Out_of_200:_Garrett_Sued_by_My_Wife_and_I,_Then_His
04-03 Microsoft_Acquaintance_Files_Another_Lawsuit_and_Our_Webhost_Receives_Legal
      Threats_Too


2026- SLAPP_Censorship_-_Part_34_Out_of_200:_The_Necessity_of_Transparency,
04-04 Illuminating_Garrett's_and_Graveley's_'Tag-Team'_Act,_Misusing_the_British
      Docket_(From_Far_Away_in_America)_in_Efforts_to_Hide_Bad_Behaviour


2026- SLAPP_Censorship_-_Part_35_Out_of_200:_How_to_Make_~10,000_Pound_Sterling_
04-05 (13,220.50_United_States_Dollars)_by_Copy-Pasting_and_Editing_10_Pages


2026- SLAPP_Censorship_-_Part_36_Out_of_200:_Claim_KB-2024-003529_in_a_Nutshell_
04-06 (Microsoft_Employee_Does_Terrible_Things,_Then_Sues_the_Reporter_in_Another
      Continent)


2026- SLAPP_Censorship_-_Part_37_Out_of_200:_The_Correct_Suspicion_Garrett_and
04-07 Graveley_Were_Collaborating_in_Overseas_Litigation_Against_Critics


2026- SLAPP_Censorship_-_Part_38_Out_of_200:_Advertisement_or_£10,000+_Classified_Ad
04-08 in_the_Form_of_Court_Filing_in_Another_Continent


2026- SLAPP_Censorship_-_Part_39_Out_of_200:_Recycled_Text_for_Garrett_and_Graveley_
04-08 (Buy_One,_Get_One_Free?)


2026- SLAPP_Censorship_-_Part_40_Out_of_200:_Putting_Forth_Frivolous_Claim_Only_a_Few
04-09 Days_Before_Running_Out_of_Time_(12_Months)


2026- SLAPP_Censorship_-_Part_41_Out_of_200:_More_Misuse_of_UK-GDPR_(for_US_Citizens),
04-10 More_Copy-Pasting_for_Garrett_and_Graveley,_Alleging_That_Publishing
      Unflattering_Information_is_a_'Privacy'_Issue


2026- SLAPP_Censorship_-_Part_42_Out_of_200:_Getting_the_Very_Basic_Technical_Concepts
04-10 Very_Wrong,_or_Where_Miscomprehension_Begets_"Plausible_Deniability"


2026- SLAPP_Censorship_-_Part_43_Out_of_200:_Garrett_and_Graveley_Particulars_of
04-11 Claims_Almost_Identical_and_5RB_Needs_to_Investigate_Its_Barristers_(Its
      Reputation_is_at_Stake)


2026- SLAPP_Censorship_-_Part_44_Out_of_200:_Garrett_and_Graveley_'Copypasta'_Sunday_
04-12 (Copy-Paste,_Add_One_Word,_Change_'T'_to_'t')


2026- SLAPP_Censorship_-_Part_45_Out_of_200:_Garrett_and_Graveley_Cases_Inherently_the
04-13 Same,_Their_Legal_Team_Can_Barely_Even_Distinguish_(Full_Timeline)


2026- SLAPP_Censorship_-_Part_46_Out_of_200:_Alex_Graveley's_Attorney_Rick_Cofer_Did
04-14 Not_Deny_That_Graveley_Had_Strangled_Women;_He_Did,_However,_Pay_Local_Officials


2026- SLAPP_Censorship_-_Part_47_Out_of_200:_British_Courts_Are_Not_Censorship_Offices
04-14 for_Americans_Funded_by_Affluent_Third_Parties


2026- SLAPP_Censorship_-_Part_48_Out_of_200:_Brett_Wilson_LLP_and_5RB_Copy-Pasting
04-16 Bogus_Claims_for_Violent_Americans_(Microsoft)_Who_Tell_Women_to_Kill_Themselves


2026- SLAPP_Censorship_-_Part_49_Out_of_200:_Two_Americans,_One_Case,_Recycled_for_Low
04-17 Budget_at_Brett_Wilson_LLP_and_5RB_Barristers


2026- SLAPP_Censorship_-_Part_50_Out_of_200:_The_Time_Staff_of_Law_Firm_Burgess_Mee
04-18 Was_Showing_Up_in_Letters_Sent_for_a_Serial_Strangler_From_Microsoft


2026- SLAPP_Censorship_-_Part_51_Out_of_200:_On_Perjury_and_What_It_Means_to_Take
04-19 Third-Party_Funding_to_Attack_Reporter_and_His_Family_(in_Another_Continent)


2026- SLAPP_Censorship_-_Part_52_Out_of_200:_Phil_Golding_Appointed_Bar_Standards
04-20 Board_(BSB)_Chief,_Misogyny_Must_End


2026- SLAPP_Censorship_-_Part_53_Out_of_200:_The_Lying_Solicitor_of_Alex_Graveley_Left
04-21 Brett_Wilson_LLP_Only_Days_or_Few_Weeks_After_the_Garrett_Trial_(Attended_by
      Almost_Their_Entire_Office/Team)


2026- SLAPP_Censorship_-_Part_54_Out_of_200:_Alex-Matt/Automate_Twin_Cases,_Separated
04-22 at_Birth,_Drafted_by_Brett_Wilson_LLP_and_5RB


2026- SLAPP_Censorship_-_Part_55_Out_of_200:_Strangled_Women,_Charged_for
04-23 Strangulation,_Cannot_Find_a_Job_Now_(After_Microsoft)


2026- SLAPP_Censorship_-_Part_56_Out_of_200:_5RB_and_Brett_Wilson_LLP's_Copy-Paste
04-24 Machination_for_Garrett_and_Graveley


2026- SLAPP_Censorship_-_Part_57_Out_of_200:_5RB_and_Brett_Wilson_LLP_Made_the_Garrett
04-25 and_Graveley_Particulars_of_Claims_a_Lot_Like_Photocopies!


2026- SLAPP_Censorship_-_Part_58_Out_of_200:_5RB_and_Brett_Wilson_LLP_Helped_Garrett
04-26 and_Graveley_Make_Equivalent_of_GAFAM_NDAs_Superficially_'Enforceable'_in_the
      UK,_Using_Threats


2026- SLAPP_Censorship_-_Part_59_Out_of_200:_Mentioning_the_Fact_Alex_Graveley
04-27 Arrested_and_Charged_for_Strangulation_in_Texas_is_"Reckless"_and_"Malicious",
      According_to_His_'Hired_Guns'_in_London


2026- SLAPP_Censorship_-_Part_60_Out_of_200:_Talking_About_Corruption_at_Microsoft_and
04-28 Arrest_for_Strangulation_is_"Malice"


2026- SLAPP_Censorship_-_Part_61_Out_of_200:_Garrett_and_Graveley_Must_Understand_That
04-29 Reporting_Women's_Issues_in_the_United_States_of_America_(“the_US”)_is_Not
      Impermissible


2026- SLAPP_Censorship_-_Part_62_Out_of_200:_Garrett_and_Graveley_Issue_Astounding
04-30 Copy-Paste_Masterpiece_Asserting_Publicly-Accessible_Embarrassing_Facts_Must
      Remain_Hidden


2026- SLAPP_Censorship_-_Part_63_Out_of_200:_Graveley_as_a_Stripped-Down_Version_of
05-01 Garrett_in_the_Particulars_of_Claim_(5RB_Barrister_Could_Do_This_in_One_Minute)


2026- SLAPP_Censorship_-_Part_64_Out_of_200:_Not_Amused_by_Repeated_Threats_(to_"Shut
05-02 Down"_My_"Existence"_While_Mentioning_My_Wife_Too)


2026- SLAPP_Censorship_-_Part_65_Out_of_200:_Graveley_and_Garrett_Claims_Are_Word-by-
05-03 Word_Similar_(They_Also_Collaborated_All_Along)


2026- SLAPP_Censorship_-_Part_66_Out_of_200:_Alex_Graveley_Did_Illegal_Things,_Then
05-04 Asserted_Mentioning_Those_Illegal_Things_is_Privacy_Violation


2026- SLAPP_Censorship_-_Part_67_Out_of_200:_Graveley_and_Garrett_Claims_Against_My
05-05 Wife_and_I_Assert_'Distress',_But_It_Was_Just_a_Copy-Pasted_Template_(Mechanical
      Crocodile_Tears)


2026- SLAPP_Censorship_-_Part_68_Out_of_200:_Based_on_Their_Particulars_of_Claims,
05-06 Microsoft's_Graveley_and_Garrett_Seem_Like_the_Same_Person_(Exactly_Same_Words
      Used,_Sloppily_Recycled)


2026- SLAPP_Censorship_-_Part_69_Out_of_200:_Microsoft's_Graveley_Strangles,_Gets
05-07 Arrested,_Charged,_Then_Asks_for_Apology_From_Those_Who_Reported_It_by_Recycling
      Garrett's_Plea_for_Apology


2026- SLAPP_Censorship_-_Part_70_Out_of_200:_Microsoft's_Graveley_Injunction_Request
05-08 100%_the_Same_as_Garrett's_(Pure_'Copy-paste',_Not_Even_a_Word_or_Single
      Character_Changed!)


2026- SLAPP_Censorship_-_Part_71_Out_of_200:_5RB_Barristers_Made_Tens_of_Thousands_of
05-09 Pounds_by_Changing_From_Plural_to_Singular_for_Microsoft's_Graveley_and_Garrett


2026- SLAPP_Censorship_-_Part_72_Out_of_200:_Microsoft's_Graveley_and_Garrett_Signed
05-10 Documents_That_Hold_Them_Accountable_to_Truth_and_Liable_for_Lies


2026- SLAPP_Censorship_-_Part_73_Out_of_200:_Microsoft's_Graveley_and_Garrett_Remain
05-11 Closely_Connected_in_May_2026_("Tag-Teaming"_Against_Bloggers_in_Another
      Continent)


2026- SLAPP_Censorship_-_Part_74_Out_of_200:_The_Basis_of_My_Lawsuit_Against_Alex
05-12 Graveley,_Who_Helps_Garrett_Stack_the_Docket_in_Another_Continent


2026- SLAPP_Censorship_-_Part_75_Out_of_200:_All_True,_All_Verifiable,_Unlike_Garrett
05-12 and_Graveley_Lying_to_at_Least_Three_High_Court_Judges_About_What_They_Did


2026- SLAPP_Censorship_-_Part_76_Out_of_200:_The_Problem_With_the_United_Kingdom
05-14 Allowing_Americans_to_File_Lawsuits_by_Proxy_(Relayed_by_"Hired_Guns")


2026- SLAPP_Censorship_-_Part_77_Out_of_200:_They_Never_Knew_How_to_Handle_Women_
05-15 (Except_to_Attack_Them)


2026- SLAPP_Censorship_-_Part_78_Out_of_200:_Slandering_Me_for_Saying_the_Truth_About
05-16 Graveley_and_Garrett's_Abuse_of_Processes,_Stacking_Dockets


2026- SLAPP_Censorship_-_Part_79_Out_of_200:_They_Will_Soon_Reach_the_100_KG_
05-17 (Kilograms)_Milestone;_Wheelbarrows,_Not_Justice_(Quantity_of_Legal_Papers_Sent
      to_Us)


2026- SLAPP_Censorship_-_Part_80_Out_of_200:_Having_Run_Out_of_Time_to_Meet_a_Judge's
05-18 Deadline,_Microsoft's_Graveley_Had_Garrett's_Lawyers_Argued_My_~190-Page_Defence
      and_CounterClaim_(DCC)_Was_Unclear_About_My_Position


2026- SLAPP_Censorship_-_Part_81_Out_of_200:_SLAPP_Censorship_Does_Not_Work_If_Your
05-19 Sole_Strategy_is_Revenge_(and_You_Attack_the_Family)


2026- SLAPP_Censorship_-_Part_82_Out_of_200:_British_Government_Intervenes_in_the
05-20 SLAPPs_by_Brett_Wilson_LLP


2026- SLAPP_Censorship_-_Part_83_Out_of_200:_Religion_is_Still_Alive,_But_for_Many
05-20 This_Religion_is_Monetary_(Greed,_Monopolies,_Corporate_Power)


2026- SLAPP_Censorship_-_Part_84_Out_of_200:_New_Legislation_Against_SLAPPs_on_the_Way
05-22 (After_We_Reached_Out_to_Ministers)


2026- SLAPP_Censorship_-_Part_85_Out_of_200:_The_United_Kingdom's_Rating_for_Press
05-23 Freedom_Has_Improved,_But_We_Can_Do_Even_Better


2026- SLAPP_Censorship_-_Part_86_Out_of_200:_The_Position_of_Courts_on_Computer-
05-24 Generated_Lawsuits_and_Filings_From_Another_Continent_(Made_by_Two_Men_Who_Work
      for_Slop_Companies)


2026- SLAPP_Censorship_-_Part_87_Out_of_200:_Access_to_Justice
05-25


2026- SLAPP_Censorship_-_Part_88_Out_of_200:_Brett_Wilson_LLP_is_Defaming_Trans_People
05-26 in_America_Because_Garrett_Pays_Hired_Guns_to_Silence_Them


2026- SLAPP_Censorship_-_Part_89_Out_of_200:_SRA_Admits_Malfunction,_That's_Why
05-27 Transparency_is_Paramount


2026- SLAPP_Censorship_-_Part_90_Out_of_200:_When_Efforts_to_Silence_His_Spouse_and
05-28 Also_the_Wife_of_a_Blogger_in_Another_Continent_Only_Give_More_Exposure_to
      Embarrassing_Information


2026- SLAPP_Censorship_-_Part_91_Out_of_200:_Legal_Aid_in_Support_of_Freedom_of_the
05-29 Press_and_British_Women_(Attacked_by_Americans)


2026- SLAPP_Censorship_-_Part_92_Out_of_200:_A_Spouse_Cannot_be_Turned_"On"_and_"Off"
05-30 Like_a_Faucet


2026- SLAPP_Censorship_-_Part_93_Out_of_200:_A_Blueprint_of_Reckless_Lawfare_in_the
05-31 UK,_Waged_and_Funded_by_Americans_(in_Another_Continent)


2026- SLAPP_Censorship_-_Part_94_Out_of_200:_SLAPP_by_Garrett's_Litigation_Buddy
06-01 Started_20_Months_Ago,_He_Has_Not_Even_Put_in_His_Defence_Yet!


2026- SLAPP_Censorship_-_Part_95_Out_of_200:_The_Growing_Risk_of_Tolerating_Men_Who
06-02 Abuse_and_Physically_Assault_Women


2026- SLAPP_Censorship_-_Part_96_Out_of_200:_When_You_Receive_Death_Threats_From
06-03 Anonymous_Sockpuppets/Burner_Accounts_Connected_to_People_Who_Strangle_Women_and
      Tell_Women_to_Kill_Themselves


2026- SLAPP_Censorship_-_Part_97_Out_of_200:_Garrett_in_Hiding_(From_the_Simple
06-04 Observable_Fact_He's_Closely_Connected_to_the_Microsofter_Who_Strangles_Women,
      Tells_Women_to_Kill_Themselves,_and_Worse)


2026- SLAPP_Censorship_-_Part_98_Out_of_200:_Microsoft_Threatening_Real_Security
06-04 Researcher_With_Criminal_Investigation_for_Talking_About_Microsoft's_Bug_Doors/
      Back_Doors


2026- SLAPP_Censorship_-_Part_99_Out_of_200:_Graveley_and_Garrett_Seem_to_Have_Crashed
06-06 Brett_Wilson_LLP_(Worse_Than_Taking_Russian_Oligarchs_as_SLAPP_Clients)


2026- SLAPP_Censorship_-_Part_100_Out_of_200:_Interlude_and_Outline_of_the_First_Half,
06-07 3+_Months_That_Got_Us_Death_Threats_Connected_to_Brett_Wilson_LLP_(and_Cyber
      Attacks_That_Are_Difficult_to_Attribute)


2026- SLAPP_Censorship_-_Part_101_Out_of_200:_Women_Come_to_Realise_They_Don't_Wish_to
06-08 Participate_in_Attacking_Vulnerable_Women


2026- SLAPP_Censorship_-_Part_102_Out_of_200:_Maybe_One_Day_Whistleblowers_From_Brett
06-09 Wilson_LLP_Will_Tell_Us_What_Really_Happened


2026- SLAPP_Censorship_-_Part_103_Out_of_200:_Telling_People_What_They_Know_and_Don't
06-10 Know_About_Death_Threats_They_Receive


2026- SLAPP_Censorship_-_Part_104_Out_of_200:_Exactly_Two_Years_Ago_Brett_Wilson_LLP
06-12 Humiliated_or_Weaponised_Our_Solicitor's_Judaism_in_an_Effort_to_Censor_and_Gag
      Us


2026- SLAPP_Censorship_-_Part_105_Out_of_200:_When_Bad_Legal_Advice_Results_in_Your
06-13 Client,_Dale_Vince,_Ordered_to_Pay_£600k_-_or_801,930_United_States_Dollar_(USD)
      -_to_the_Person_Frivolously_Sued_(Lord_Bailey_of_Paddington)


2026- SLAPP_Censorship_-_Part_106_Out_of_200:_100_Kilograms_of_Legal_Papers
06-14


2026- SLAPP_Censorship_-_Part_107_Out_of_200:_Keeping_Law_Accessible_to_Everybody
06-15


2026- SLAPP_Censorship_-_Part_108_Out_of_200:_Moving_On_and_Moving_Up
06-16


2026- SLAPP_Censorship_-_Part_109_Out_of_200:_When_You_Drag_Family_Members_Into_a_Case
06-17 Unrelated_to_Them_Because_Their_Relative_Published_Something


2026- SLAPP_Censorship_-_Part_110_Out_of_200:_Anti-SLAPP_Reform_Formally_Advanced_in
06-18 the_United_Kingdom_(UK)_the_Same_Week_the_Serial_Strangler_From_Microsoft_(US)
      Does_Forum-Shopping_in_the_UK


2026- SLAPP_Censorship_-_Part_111_Out_of_200:_Garrett_and_Graveley_(the_Latter
06-19 Arrested_for_Strangling_Women)_Keep_Ousting_Their_Collaboration_in_Litigation,
      Lawfare_in_a_Foreign_Continent


2026- SLAPP_Censorship_-_Part_112_Out_of_200:_Strangles_Women,_Then_Refuses_to_Even
06-20 Attend_Any_of_His_Own_Hearings_About_It


2026- SLAPP_Censorship_-_Part_113_Out_of_200:_The_United_Kingdom_is_Not_Turkey
06-21


2026- SLAPP_Censorship_-_Part_114_Out_of_200:_Thousands_of_Long_Articles_to_Come,
06-22 Properly_Covering_the_SLAPP_Industry_in_the_UK_and_Its_Modus_Operandi


2026- SLAPP_Censorship_-_Part_115_Out_of_200:_Spending_the_Next_Decade_Writing_About
06-23 SLAPPs_and_Trying_to_Fix_the_System


2026- SLAPP_Censorship_-_Part_116_Out_of_200:_5_Years_of_Multiparty_Lawfare_Against
06-23 Techrights,_Funded_by_Americans_and_Also_by_Third_Parties_(Including_Microsoft
      Salaries)


2026- SLAPP_Censorship_-_Part_117_Out_of_200:_Libel_Tourism_or_Defamation_Forum-
06-24 Shopping_in_the_United_Kingdom_Condemned_by_the_European_Union_(EU)


2026- SLAPP_Censorship_-_Part_118_Out_of_200:_Exposing_Crimes_is_Not_a_Crime,_It_is_a
06-25 Public_Service


2026- SLAPP_Censorship_-_Part_119_Out_of_200:_Our_Suggestions_to_Our_Politicians_and
06-26 Heads_of_State


2026- SLAPP_Censorship_-_Part_120_Out_of_200:_Garrett_Undermines_His_Own_Application
06-27 Because_His_Friend_Graveley_Failed_to_Accomplish_What_They_Had_Both_Aimed_For


2026- SLAPP_Censorship_-_Part_121_Out_of_200:_One_Day_We'll_Discover_What_Company_or
06-28 Rich_Person/s_Funded_the_Lawfare_Against_Us


2026- SLAPP_Censorship_-_Part_122_Out_of_200:_Garrett's_Solicitors_Confirm_That
06-29 Garrett_is_Ban-Evading_and_Spying_on_Our_IRC_Network


2026- SLAPP_Censorship_-_Part_123_Out_of_200:_Why_Violence_Against_Animals_Matters
06-30


2026- SLAPP_Censorship_-_Part_124_Out_of_200:_The_Court_Deems_My_Wife_Connected_to_the
07-01 Case_of_the_Serial_Strangler_From_Microsoft,_Invites_Her_to_the_Hearing_Last
      Week


2026- SLAPP_Censorship_-_Part_125_Out_of_200:_Litigants_in_Person_(LIPs)_Handling
07-02 American_Lawfare_Funded_by_Third_Parties_(About_a_Million_Pounds_for_100
      Kilograms_of_Legal_Papers)


2026- SLAPP_Censorship_-_Part_126_Out_of_200:_Becoming_More_Aggressive_Against_Us_Only
07-03 Proves_Us_Right


2026- SLAPP_Censorship_-_Part_127_Out_of_200:_Lawsuits_by_Americans_Filed_in_the_UK_a
07-04 Burden_on_British_Taxpayers,_No_Way_to_Recover_the_Funds_When_Americans_Lose
      Their_Cases


2026- SLAPP_Censorship_-_Part_128_Out_of_200:_Making_Laws_Work_for_Britain,_Not
07-05 Oversensitive_Americans_Looking_for_'Revenge'_by_Lawfare


2026- SLAPP_Censorship_-_Part_129_Out_of_200:_Iranian_Tactics
07-06


2026- SLAPP_Censorship_-_Part_130_Out_of_200:_Jealousy,_Envy,_Hubris
07-06


2026- SLAPP_Censorship_-_Part_131_Out_of_200:_A_Big_Win_for_the_Media_in_the_United
07-07 Kingdom_(UK)_Today


2026- SLAPP_Censorship_-_Part_132_Out_of_200:_When_You_Cannot_Pay_a_Million_Pounds_
07-07 (1,335,520.00_United_States_Dollar)_to_Lawyers_But_Have_a_Strong_Community


2026- SLAPP_Censorship_-_Part_133_Out_of_200:_Lies_by_Omission
07-29


2026- SLAPP_Censorship_-_Part_134_Out_of_200:_What_"Majority_Rules"_Tell_Us_About_the
07-30 Litigant


2026- SLAPP_Censorship_-_Part_135_Out_of_200:_Limited_Liability_Partnership_(LLP)_That
07-31 Does_Not_Disclose_Financial_Activities_Before_August


2026- SLAPP_Censorship_-_Part_136_Out_of_200:_Lawyers_That_Get_Paid_to_Mess_About
08-01


2026- SLAPP_Censorship_-_Part_137_Out_of_200:_Discovering_That_Spending_a_Million
08-02 British_Pounds_(1,348,250.01_United_States_Dollars)_on_Lawyers_Cannot_Take_Down
      One's_Critics


2026- SLAPP_Censorship_-_Part_138_Out_of_200:_Garrett_Has_Basically_"Lost"_and_It_is
08-03 "Embarrassing"_to_Them


2026- SLAPP_Censorship_-_Part_139_Out_of_200:_Solicitors_Regulation_Authority_(SRA)
08-04 Needs_More_Public_Scrutiny_(New_Management_Changed_Nothing,_It's_Costing_a_Lot
      of_Taxpayers'_Money)


2026- SLAPP_Censorship_-_Part_140_Out_of_200:_You_Become_What_You_Eat,_Your_Clients
08-05 Become_You


2026- SLAPP_Censorship_-_Part_141_Out_of_200:_Brett_Wilson_LLP_Failed_to_Learn_From
08-06 the_Mistakes_of_the_European_Patent_Office_(EPO)


2026- SLAPP_Censorship_-_Part_142_Out_of_200:_GemText_is_Not_a_Webpage,_Gemini
08-07 Protocol_is_Not_the_Web,_and_Capsules_Are_Not_Websites


2026- SLAPP_Censorship_-_Part_143_Out_of_200:_After_Nearly_10_Attempts_to_Settle_With
08-08 Us_and_Over_a_Million_Pounds_Spent_on_Lawyers_and_Barristers


2026- SLAPP_Censorship_-_Part_144_Out_of_200:_The_"Hired_Guns"_("Media"_at_BW)_Shrank
08-09 Almost_Three-Fold_Since_They_Sued_Us_in_2024


2026- SLAPP_Censorship_-_Part_145_Out_of_200:_They_Tried_Hard_to_Hide_the_Fact_Their
08-10 Client_Had_Been_Sued,_Twice_Even


2026- SLAPP_Censorship_-_Part_146_Out_of_200:_An_Industry_of_Plagiarism,_'Normalised'
08-11


2026- SLAPP_Censorship_-_Part_147_Out_of_200:_The_SLAPP_Series_is_'Slow'_Because
08-12 Timing_Matters


2026- SLAPP_Censorship_-_Part_148_Out_of_200:_The_Manosphere
08-13


2026- SLAPP_Censorship_-_Part_149_Out_of_200:_It_Took_a_Long_Time_to_Show_What_Jason
08-14 Arday_(at_Cambridge)_and_Harvey_Weinstein_(in_Hollywood)_Really_Were


2026- SLAPP_Censorship_-_Part_150_Out_of_200:_Always_Independently_Verify_What_People
08-15 Claim_to_Be_(or_Find_Yourself_in_a_Jason_Arday-Type_Moment/Dilemma)


2026- SLAPP_Censorship_-_Part_151_Out_of_200:_Dealing_With_Sleazy_People_and_Companies
08-16 That_Steal_(While_Employing_These_Sleazy_People)


2026- SLAPP_Censorship_-_Part_152_Out_of_200:_Injunctions_Do_Not_Cover_Criticism,_They
08-17 Have_Scope


2026- SLAPP_Censorship_-_Part_153_Out_of_200:_Decades_of_Debt,_Weaponising_Borrowed
08-18 Money_to_Try_to_Put_Their_Critics_in_Debt


2026- SLAPP_Censorship_-_Part_154_Out_of_200:_Computer-Generated_Legal_Filings_From
08-19 Men_Who_Are_Salaried_by_Mass_Plagiarism_Companies_in_Another_Continent_(America)


2026- SLAPP_Censorship_-_Part_155_Out_of_200:_Throwing_Stones_in_Houses_Made_of_Glass
08-20


2026- SLAPP_Censorship_-_Part_156_Out_of_200:_Brett_Wilson_LLP_Becoming_Wilson_FC
08-21


2026- SLAPP_Censorship_-_Part_157_Out_of_200:_What_is_a_'Defamation_Troll'?
08-21


2026- SLAPP_Censorship_-_Part_158_Out_of_200:_Making_Alliances_With_Men_Arrested_for
08-22 Strangling_Women_Was_Always_a_Terrible_Strategy


2026- SLAPP_Censorship_-_Part_159_Out_of_200:_Telling_Courts_False_Information_and
08-23 Spoon-feeding_Them_Insults,_Hoping_or_Expecting_Them_to_Repeat_These_Insults


2026- SLAPP_Censorship_-_Part_160_Out_of_200:_In_Astounding_Repetition_of_Last_Year,
08-24 Brett_Wilson_LLP_Deliberately_Ignores_Holidays_of_People_It_is_Attacking_and
      Crushes_Principles_of_Access_to_Justice


2026- SLAPP_Censorship_-_Part_161_Out_of_200:_Low_Standards_in_Defamation_Cases_Just
08-25 Muddy_the_Waters_and_Distract_From_Legitimate_Cases


2026- SLAPP_Censorship_-_Part_162_Out_of_200:_An_Outline_of_Events
08-26


2026- SLAPP_Censorship_-_Part_163_Out_of_200:_Attack_on_Computer_Science_and_on
08-27 Computer_Security_(or_Associating_Back_Doors_and_Kill_Switches_With_"Security")


2026- SLAPP_Censorship_-_Part_164_Out_of_200:_Patent_Troll_SLAPPs,_Defamation_Trolls,
08-28 and_Stranglers_From_America


2026- SLAPP_Censorship_-_Part_165_Out_of_200:_Two_Years_Since_My_Wife_and_I_Sued
08-29


2026- SLAPP_Censorship_-_Part_166_Out_of_200:_Garrett_Wasn't_Found_Innocent_Per_Se,
08-30 the_Court_Wanted_More_Evidence_of_Who_Was_Behind_Particular_Accounts_Using_Tor


2026- SLAPP_Censorship_-_Part_167_Out_of_200:_The_Court_of_Appeal_Might_be_the_Next
08-31 Step


2026- SLAPP_Censorship_-_Part_168_Out_of_200:_When_Choosing_Clients_Recklessly_and
09-01 Poorly_Self-Harm_is_Inevitable


2026- SLAPP_Censorship_-_Part_169_Out_of_200:_Calling_People_"Nazis"
09-02


2026- SLAPP_Censorship_-_Part_170_Out_of_200:_Downtimes
09-03


2026- SLAPP_Censorship_-_Part_171_Out_of_200:_Talking_About_Corruption_and_Violence
09-04 Against_Women


2026- SLAPP_Censorship_-_Part_172_Out_of_200:_The_Solicitors_Regulation_Authority_
09-05 (SRA)_Complicit_in_the_SLAPPs_by_Inaction_(Didn't_Even_Study_Any_Evidence,_Only
      Wasted_Time_and_Budget)


2026- SLAPP_Censorship_-_Part_173_Out_of_200:_Two_Years
09-06


2026- SLAPP_Censorship_-_Part_174_Out_of_200:_Cascading_Scandals_and_a_Path_Towards
09-07 Much-Needed,_Long-Awaited_Reform


2026- SLAPP_Censorship_-_Part_175_Out_of_200:_Implicit_and_Explicit_Coalition_Against
09-08 the_UK's_SLAPP_Industry


2026- SLAPP_Censorship_-_Part_176_Out_of_200:_The_Sex-Obsessed_Non-Experts
09-09


2026- SLAPP_Censorship_-_Part_177_Out_of_200:_Manosphere_Without_Financial
09-09 Transparency


      SLAPP_Censorship_-_Part_178_Out_of_200:_Explaining_to_Your_American_Clients_That
2026- Spending_130,000+_United_States_Dollars_on_a_Single_Hearing_in_Another_Continent
09-11 Means_the_UK's_National_Archives_Will_Retain_in_Perpetuity_What_Your_Spouse_or
      Girlfriend_Said


2026- SLAPP_Censorship_-_Part_179_Out_of_200:_Using_One's_Clients_to_Save_Face_at
09-12 Their_Expense


2026- SLAPP_Censorship_-_Part_180_Out_of_200:_A_Third_Act,_(Mis)Using_Your_Client's
09-12 Application_to_the_Court_for_Your_Own_Purposes_as_a_Law_Firm_(Reputation
      Management_and_Censorship)


    * It_Sometimes_Feels_Like_Slop_Companies_Are_Committing_Online/Digital
      Crimes
    * PIPs_Are_a_Setup:_They_Set_Workers_Up_to_Fail_While_Working_Their_Arse
      Off_Before_Getting_Kicked_(Out)_in_the_Arse


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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⡟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⣛⣿⠟⠻⢿⠛⠛⠛⣿⣿⣿⣿⣟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⢻⡇⢹⠿⠿⣿⣿⣿⣿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠇⠀⠀⠀⢠⢄⣰⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡿⣣⣿⣿⣿⢸⣿⣦⠀⡄⣿⣿⣿⡿⠂⣀⡴⠀⠀⠀⠀⠀⢀⣀⣤⡀⠀⠸⣿⣿⣿⣿⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡟⢀⣀⣠⣤⣾⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠿⠿⠏⡾⣿⢿⣿⣿⢸⣿⣿⡇⠇⣿⣿⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⢿⠿⠿⠿⠿⠿⣿
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⢃⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⡀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡯⣤⣄⡠⢧⢫⠟⢡⣿⠈⠀⠀⠀⠀⠀⠀⢹⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⢾⣿⣿⣿⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠉⠉⠀⠀⣰⠇⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⣿⣿⣿⡷⠈⢀⣌⠿⠸⢓⢛⣥⣶⢰⣶⠀⢸⠟⢉⡉⠙⠛⢿⣿⣿⠿⠟⠛⠛⠿⠀⣸⣿⣿⣿⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⡁⠀⠀⠈⠉⢉⡋⠁⠀⠀⠀⢀⡄⡀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣋⣀⣴⣿⣿⣿⢸⣶⢸⣿⣿⢸⡟⡆⣼⣶⣁⣄⣀⣀⣼⣿⣇⠀⠀⢀⠀⣀⢀⠿⣿⣯⣿⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⣷⣤⣤⣄⣹⡏⣹⣶⣶⣾⣧⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⠿⢸⣿⢸⣿⣿⣸⣿⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⣆⣿⣿⣿⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢛⣿⡿⣿⣿⣿⣯⡍⢿⣿⠿⠟⠁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠀⡀⠀⣿⣿⡿⠿⢻⠁⠀⢸⣿⡞⣿⣿⡇⣿⡇⢿⣿⣿⣿⣿⡿⠛⠿⠛⢻⣿⣿⣿⡏⢀⣿⣿⣿⣿⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣴⣿⠻⠟⠋⠁⠘⠛⠁⠀⢠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢇⣤⣾⣿⣷⠀⢸⡄⠀⢸⣿⡇⣿⡿⠇⣿⡇⠸⠿⣿⠟⠋⠁⢀⣀⠀⠘⠻⣿⣿⠃⠀⣿⣿⣿⣿⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⠠⠬⠑⠂⠀⠀⠀⣶⠀⠀⠸⠿⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠋⠉⠉⢹⠀⠀⡇⠀⠀⠀⠀⠀⢀⠀⠈⠀⠀⠀⠋⠀⠠⠶⠖⠲⠦⠄⠀⠹⠉⠀⢠⣿⣿⣿⣿⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⣼⢷⣶⣦⡌⠛⢛⡆⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠘⠀⡀⠀⠀⡀⠀⠈⣀⣄⠀⠀⠀⠀⠀⠀⠀⠐⠃⡛⢟⣿⣿⣟⣿⣿
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⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⢹⠉⠈⠀⠀⠀⠀⠀⠀⡆⢸⠀⣿⣿⣿⣿⠧⣂⣀⣰⣿⣿⣿⣿⣿⣿⣷⣶⣤⣭⣝⣻
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣼⠀⠀⠀⢀⡀⢠⣶⠀⣇⢸⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣴⢠⣬⣬⣷⣾⣿⣷⣶⣆⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿
⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣻⣿⣸⣿⣿⣿⣿⣿⣿⣛⣻⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣀⣀⣀⣀⣀⣀⣀⣸

                    ䷩ 𝚕𝚒𝚗𝚎 4560

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2026/09/13/SLAPP_Censorship_Part_182_Out_of_200_UK_Dockets_With_Machine_Ge.shtml
    Gemini version at gemini://gemini.techrights.org/n/2026/09/13/SLAPP_Censorship_Part_182_Out_of_200_UK_Dockets_With_Machine_Ge.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ SLAPP Censorship - Part 182 Out of 200: UK
Dockets With Machine-Generated Applications to the Court (From American Slop
Companies)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Sep 13, 2026,
updated Sep 13, 2026


Yesterday: (Mis)Using_Your_Client's_Application_to_the_Court_for_Your_Own
Purposes_as_a_Law_Firm_(Reputation_Management_and_Censorship)


My latest_Application_to_the_Court_was_20_pages_long; Garrett's was like a
thousand pages long (he had 'cheated' with 'shortcuts'). Judges lack time to
read and properly understand literal "books" ahead of hearings (this_lack_of
time_can_be_exploited_to_trick_them). Garrett's pre-action letter from 2021
(from JUDGE SYKES FRIXOU) was 11_pages_long; when he took Brett Wilson LLP in
2024 it was several parcels, almost hundreds of pages long.


We recently put (in_Daily_Links) a story about fines and sanctions against a US
attorney caught using slop, as well as some resultant penalties/reprimanding
actions; it was about people who used slop as "witness/es". It's all very
worrying but not unprecedented; in the past, they're likely to have framed and
fabricated evidence; now they let chatbots do the fabrication and may later try
to blame "hallucination" by some 'mere thing' - not a person - like a company
or a third party (LLM pusher). You cannot arrest companies. They all understand
how accountability works. They went to law school.


The same goes for plagiarism; now they call it "training" or "hey hi", with
permutations utilised to disguise or obfuscate the low-grade plagiarism, which
is still very blatant and unacceptable.


A reader reminds us that "slop in court proceedings is quite likely illegal
and/or worthy of disbarment (is that a word?)..."


In the US, disbarment relates to lawyers or attorneys. In the UK, however, we
call that "striking off" (disbarment is the term which applies to barristers in
the UK, where the term "solicitors" is commonly used everywhere).


So disbarment (that's the word used here for barristers) is not likely to
happen here for plain copy-pasting (it's abundantly common here; the public
deserves to know people are overcharged by barristers to just copy-paste things
over and over again). What about slop or misuse/misapplication of bots?


The reader says "the courts need to have a zero-tolerance for substituting slop
for legal work or else then it just becomes a matter of negotiation about *how
much* fraud is allowed" (as noted above, slop may mean introducing very serious
lies and serious, unintentional, undetected libels).


This leads me to today's second topic. For Techrights, IRC has been more active
lately:


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Last week⦈


More talking, more people. Some people use "bad language", most people do not.
We're not censoring; the logs just represent what actually happened each day
(since 2008).


Earlier this year Garrett was using machine-generated output as legal papers
and submissions, basically scanning IRC logs and then twisting their contents
(or misrepresenting the contents). Worse yet, the submissions did nothing to
actually_explain what was allegedly wrong/problematic in the logs. So the
filings were rushed, impulsive, incomplete and probably not compatible with
strict legal requirements. This was brought up and said to the judge.


How did that happen?


Well, the papers were not compiled (or understood) by a human, a bot compiled
them. For perspective, Graveley is a pusher of bots (they_call_those_"agents"
now) and he_collaborates_with_Garrett. We_were_repeatedly_lied_to_about_this
collaboration.


Thankfully, the judge tossed out all to this machine-generated stuff from lazy
Garrett and his fall guy, who despite pretending otherwise has absolutely no
credentials (zero, zilch) in IT and admitted as such under sworn oath in July.
He clearly didn't prepare the witness statement that he signed with_a_Statement
of_Truth. This wasn't the first time.


We'll cover this some more in the coming days.


If you put together 1,200+ pages in an Application to the Court and many of
those pages were put together by bots, expect "embarrassing"_outcomes and
further_issues. █


Previous Parts:


█


2026- Microsofters'_SLAPP_Censorship_-_Part_1_Out_of_200:_Claim_No._KB-2024-001270_in
03-03 a_Nutshell


2026- Microsofters'_SLAPP_Censorship_-_Part_2_Out_of_200:_Detailed_Timeline_From_2012_
03-04 (Attack_on_Reporters_That_Question_Restricted_Boot)_to_2024_(Lawsuit_Against
      Reporter_and_His_Wife_in_Another_Continent)


2026- Microsofters'_SLAPP_Censorship_-_Part_3_Out_of_200:_A_More_In-Depth_Breakdown
03-05


2026- Microsofters'_SLAPP_Censorship_-_Part_4_Out_of_200:_Rianne’s_Version_of_Events
03-06 and_Narrative


2026- Microsofters'_SLAPP_Censorship_-_Part_5_Out_of_200:_Clearly_Not_a_Security
03-07 Professional/Expert,_Only_Ever_Pretending_to_be_One


2026- Microsofters'_SLAPP_Censorship_-_Part_6_Out_of_200:_Intentionally_Misnaming
03-08 Women,_People_Who_Offered_to_Testify_That_They_Too_Had_Been_Subjected_to_Similar
      Abuse


2026- Microsofters'_SLAPP_Censorship_-_Part_7_Out_of_200:_Like_With_the_Serial
03-09 Strangler_From_Microsoft,_Misuse_of_UK-GDPR_to_Try_to_Hide_Embarrassing_Facts


2026- Microsofters'_SLAPP_Censorship_-_Part_8_Out_of_200:_Gross_Misuse_of_UKGDPR_to
03-10 Protect_the_Agenda_of_American_Back_Doors_(Mass_Surveillance)


2026- Microsofters'_SLAPP_Censorship_-_Part_9_Out_of_200:_5RB_Barrister_Does_Not_Even
03-11 Know_the_Name_of_His_Own_Client_(That_He_Was_Paid_Well_Over_$200,000_to_'Speak'
      or_'Cover'_for)


2026- Microsofters'_SLAPP_Censorship_-_Part_10_Out_of_200:_Showing_Public_Tweets_is
03-12 Not_a_Privacy_Violation,_But_This_Isn't_About_Justice,_It's_About_Censorship


2026- Microsofters'_SLAPP_Censorship_-_Part_11_Out_of_200:_Cannot_Censor_His_Spouse,
03-13 Accusations_Are_Repeated_Today


2026- Microsofters'_SLAPP_Censorship_-_Part_12_Out_of_200:_Months_Ahead_of_Serial
03-14 Strangler_From_Microsoft_Who_Helped_Double_the_Lawsuits_(Funded_by_Third
      Parties)_as_'Revenge'_for_Exposing_Crimes


2026- Microsofters'_SLAPP_Censorship_-_Part_13_Out_of_200:_Abuse_of_Process_to_Make
03-15 False_Accusations_of_UKGDPR_Violations


2026- Microsofters'_SLAPP_Censorship_-_Part_14_Out_of_200:_The_Abusive_Cases_of_the
03-16 Serial_Strangler_From_Microsoft_and_His_Litigation_Buddy_Garrett_Did_Cause
      "Serious_Harm"


2026- Microsofters'_SLAPP_Censorship_-_Part_14_Out_of_200:_Men_Who_Strangle_Women_(and
03-17 Worse)_Trying_to_Force_Us_to_Write_Public_Apologies_to_These_Men


2026- SLAPP_Censorship_-_Part_15_Out_of_200:_Background_and_Particulars_of_Truth
03-18 Regarding_Techrights_and_Tux_Machines


2026- SLAPP_Censorship_-_Part_16_Out_of_200:_Detailing_the_Actors_and_Explaining
03-19 Techrights'_Own_Internet_Relay_Chat_(IRC)_Network


2026- SLAPP_Censorship_-_Part_17_Out_of_200:_A_Long_Track_Record_of_Online_Abuse,_Then
03-20 Choosing_a_Low-Cost_Law_Firm_to_Muzzle_People_Who_Have_Illuminated_This_Abuse
      for_Over_a_Decade


2026- SLAPP_Censorship_-_Part_18_Out_of_200:_Third_Parties_Funding_Attacks_on_the
03-21 Messengers,_Lawsuits_Against_GAFAM-Critical_Voices_That_Uphold_Real_National
      Security


2026- SLAPP_Censorship_-_Part_19_Out_of_200:_They_Were_Ill-prepared_for_Tough
03-22 Questions_in_Cross-Examination


2026- SLAPP_Censorship_-_Part_20_Out_of_200:_All_Roads_Lead_to_Rome_and_to_GAFAM
03-23 Funding


2026- SLAPP_Censorship_-_Part_21_Out_of_200:_It's_About_Behaviour_Online,_Not_How_Much
03-24 Money_From_Shadowy_Third_Parties_Gets_Spent_on_Lawyers_and_Two_Barristers


2026- SLAPP_Censorship_-_Part_22_Out_of_200:_When_You_Complain_People_Impersonate_You
03-24 in_IRC_(But_You_Yourself_Impersonate_People_in_IRC_and_Lock_Them_Out_of_Their
      IRC_Handles)


2026- SLAPP_Censorship_-_Part_23_Out_of_200:_We_Were_Right_All_Along_(for_2_Years)
03-25 About_Third_Party_Funding_and_Willingness_to_'Break_the_Bank'_in_Pursuit_of
      "Revenge"


2026- SLAPP_Censorship_-_Part_24_Out_of_200:_The_Failed_Effort_by_Brett_Wilson_LLP_to
03-26 Strike_Out_My_Lawsuit_and_My_Wife's_Lawsuit_Against_Garrett_(the_Master_Allowed
      Our_Lawsuits_to_Proceed)


2026- SLAPP_Censorship_-_Part_25_Out_of_200:_That_Time_Matthew_J._Garrett_Got
03-27 Temporarily_Banned/Suspended_From_Twitter


2026- SLAPP_Censorship_-_Part_26_Out_of_200:_Asking_for_Documents_and_Information_You
03-28 Already_Have,_Even_Letters_and_E-mails_That_You_Yourself_Sent!


2026- SLAPP_Censorship_-_Part_27_Out_of_200:_Using_the_Tor_Network_to_Hide_From
03-29 Consequences


2026- SLAPP_Censorship_-_Part_28_Out_of_200:_Facing_Consequences_for_Impersonation_and
03-30 Worse


2026- SLAPP_Censorship_-_Part_29_Out_of_200:_Violent_Language_Won't_Go_Away_When_You
03-31 Use_It_in_Your_Site,_Blog,_and_Social_Control_Media


2026- SLAPP_Censorship_-_Part_30_Out_of_200:_The_Time_We_Reported_Abuse_to_Greater
04-01 Manchester_Police_(GMP)_and_It_Was_Escalated_to_Its_Cybercrime_Unit


2026- SLAPP_Censorship_-_Part_31_Out_of_200:_Speaking_About_20+_Years_of_Alleged
04-02 Harassment/Defamation_and_High-Profile_'Targets'_of_Garrett


2026- SLAPP_Censorship_-_Part_32_Out_of_200:_Garrett_Made_Spurious_Requests_(Later
04-03 Withdrawn)_the_Same_Week_Someone_He_Later_Spoke_to_by_E-mail_Sent_Threats_to_Our
      Webhost


2026- SLAPP_Censorship_-_Part_33_Out_of_200:_Garrett_Sued_by_My_Wife_and_I,_Then_His
04-03 Microsoft_Acquaintance_Files_Another_Lawsuit_and_Our_Webhost_Receives_Legal
      Threats_Too


2026- SLAPP_Censorship_-_Part_34_Out_of_200:_The_Necessity_of_Transparency,
04-04 Illuminating_Garrett's_and_Graveley's_'Tag-Team'_Act,_Misusing_the_British
      Docket_(From_Far_Away_in_America)_in_Efforts_to_Hide_Bad_Behaviour


2026- SLAPP_Censorship_-_Part_35_Out_of_200:_How_to_Make_~10,000_Pound_Sterling_
04-05 (13,220.50_United_States_Dollars)_by_Copy-Pasting_and_Editing_10_Pages


2026- SLAPP_Censorship_-_Part_36_Out_of_200:_Claim_KB-2024-003529_in_a_Nutshell_
04-06 (Microsoft_Employee_Does_Terrible_Things,_Then_Sues_the_Reporter_in_Another
      Continent)


2026- SLAPP_Censorship_-_Part_37_Out_of_200:_The_Correct_Suspicion_Garrett_and
04-07 Graveley_Were_Collaborating_in_Overseas_Litigation_Against_Critics


2026- SLAPP_Censorship_-_Part_38_Out_of_200:_Advertisement_or_£10,000+_Classified_Ad
04-08 in_the_Form_of_Court_Filing_in_Another_Continent


2026- SLAPP_Censorship_-_Part_39_Out_of_200:_Recycled_Text_for_Garrett_and_Graveley_
04-08 (Buy_One,_Get_One_Free?)


2026- SLAPP_Censorship_-_Part_40_Out_of_200:_Putting_Forth_Frivolous_Claim_Only_a_Few
04-09 Days_Before_Running_Out_of_Time_(12_Months)


2026- SLAPP_Censorship_-_Part_41_Out_of_200:_More_Misuse_of_UK-GDPR_(for_US_Citizens),
04-10 More_Copy-Pasting_for_Garrett_and_Graveley,_Alleging_That_Publishing
      Unflattering_Information_is_a_'Privacy'_Issue


2026- SLAPP_Censorship_-_Part_42_Out_of_200:_Getting_the_Very_Basic_Technical_Concepts
04-10 Very_Wrong,_or_Where_Miscomprehension_Begets_"Plausible_Deniability"


2026- SLAPP_Censorship_-_Part_43_Out_of_200:_Garrett_and_Graveley_Particulars_of
04-11 Claims_Almost_Identical_and_5RB_Needs_to_Investigate_Its_Barristers_(Its
      Reputation_is_at_Stake)


2026- SLAPP_Censorship_-_Part_44_Out_of_200:_Garrett_and_Graveley_'Copypasta'_Sunday_
04-12 (Copy-Paste,_Add_One_Word,_Change_'T'_to_'t')


2026- SLAPP_Censorship_-_Part_45_Out_of_200:_Garrett_and_Graveley_Cases_Inherently_the
04-13 Same,_Their_Legal_Team_Can_Barely_Even_Distinguish_(Full_Timeline)


2026- SLAPP_Censorship_-_Part_46_Out_of_200:_Alex_Graveley's_Attorney_Rick_Cofer_Did
04-14 Not_Deny_That_Graveley_Had_Strangled_Women;_He_Did,_However,_Pay_Local_Officials


2026- SLAPP_Censorship_-_Part_47_Out_of_200:_British_Courts_Are_Not_Censorship_Offices
04-14 for_Americans_Funded_by_Affluent_Third_Parties


2026- SLAPP_Censorship_-_Part_48_Out_of_200:_Brett_Wilson_LLP_and_5RB_Copy-Pasting
04-16 Bogus_Claims_for_Violent_Americans_(Microsoft)_Who_Tell_Women_to_Kill_Themselves


2026- SLAPP_Censorship_-_Part_49_Out_of_200:_Two_Americans,_One_Case,_Recycled_for_Low
04-17 Budget_at_Brett_Wilson_LLP_and_5RB_Barristers


2026- SLAPP_Censorship_-_Part_50_Out_of_200:_The_Time_Staff_of_Law_Firm_Burgess_Mee
04-18 Was_Showing_Up_in_Letters_Sent_for_a_Serial_Strangler_From_Microsoft


2026- SLAPP_Censorship_-_Part_51_Out_of_200:_On_Perjury_and_What_It_Means_to_Take
04-19 Third-Party_Funding_to_Attack_Reporter_and_His_Family_(in_Another_Continent)


2026- SLAPP_Censorship_-_Part_52_Out_of_200:_Phil_Golding_Appointed_Bar_Standards
04-20 Board_(BSB)_Chief,_Misogyny_Must_End


2026- SLAPP_Censorship_-_Part_53_Out_of_200:_The_Lying_Solicitor_of_Alex_Graveley_Left
04-21 Brett_Wilson_LLP_Only_Days_or_Few_Weeks_After_the_Garrett_Trial_(Attended_by
      Almost_Their_Entire_Office/Team)


2026- SLAPP_Censorship_-_Part_54_Out_of_200:_Alex-Matt/Automate_Twin_Cases,_Separated
04-22 at_Birth,_Drafted_by_Brett_Wilson_LLP_and_5RB


2026- SLAPP_Censorship_-_Part_55_Out_of_200:_Strangled_Women,_Charged_for
04-23 Strangulation,_Cannot_Find_a_Job_Now_(After_Microsoft)


2026- SLAPP_Censorship_-_Part_56_Out_of_200:_5RB_and_Brett_Wilson_LLP's_Copy-Paste
04-24 Machination_for_Garrett_and_Graveley


2026- SLAPP_Censorship_-_Part_57_Out_of_200:_5RB_and_Brett_Wilson_LLP_Made_the_Garrett
04-25 and_Graveley_Particulars_of_Claims_a_Lot_Like_Photocopies!


2026- SLAPP_Censorship_-_Part_58_Out_of_200:_5RB_and_Brett_Wilson_LLP_Helped_Garrett
04-26 and_Graveley_Make_Equivalent_of_GAFAM_NDAs_Superficially_'Enforceable'_in_the
      UK,_Using_Threats


2026- SLAPP_Censorship_-_Part_59_Out_of_200:_Mentioning_the_Fact_Alex_Graveley
04-27 Arrested_and_Charged_for_Strangulation_in_Texas_is_"Reckless"_and_"Malicious",
      According_to_His_'Hired_Guns'_in_London


2026- SLAPP_Censorship_-_Part_60_Out_of_200:_Talking_About_Corruption_at_Microsoft_and
04-28 Arrest_for_Strangulation_is_"Malice"


2026- SLAPP_Censorship_-_Part_61_Out_of_200:_Garrett_and_Graveley_Must_Understand_That
04-29 Reporting_Women's_Issues_in_the_United_States_of_America_(“the_US”)_is_Not
      Impermissible


2026- SLAPP_Censorship_-_Part_62_Out_of_200:_Garrett_and_Graveley_Issue_Astounding
04-30 Copy-Paste_Masterpiece_Asserting_Publicly-Accessible_Embarrassing_Facts_Must
      Remain_Hidden


2026- SLAPP_Censorship_-_Part_63_Out_of_200:_Graveley_as_a_Stripped-Down_Version_of
05-01 Garrett_in_the_Particulars_of_Claim_(5RB_Barrister_Could_Do_This_in_One_Minute)


2026- SLAPP_Censorship_-_Part_64_Out_of_200:_Not_Amused_by_Repeated_Threats_(to_"Shut
05-02 Down"_My_"Existence"_While_Mentioning_My_Wife_Too)


2026- SLAPP_Censorship_-_Part_65_Out_of_200:_Graveley_and_Garrett_Claims_Are_Word-by-
05-03 Word_Similar_(They_Also_Collaborated_All_Along)


2026- SLAPP_Censorship_-_Part_66_Out_of_200:_Alex_Graveley_Did_Illegal_Things,_Then
05-04 Asserted_Mentioning_Those_Illegal_Things_is_Privacy_Violation


2026- SLAPP_Censorship_-_Part_67_Out_of_200:_Graveley_and_Garrett_Claims_Against_My
05-05 Wife_and_I_Assert_'Distress',_But_It_Was_Just_a_Copy-Pasted_Template_(Mechanical
      Crocodile_Tears)


2026- SLAPP_Censorship_-_Part_68_Out_of_200:_Based_on_Their_Particulars_of_Claims,
05-06 Microsoft's_Graveley_and_Garrett_Seem_Like_the_Same_Person_(Exactly_Same_Words
      Used,_Sloppily_Recycled)


2026- SLAPP_Censorship_-_Part_69_Out_of_200:_Microsoft's_Graveley_Strangles,_Gets
05-07 Arrested,_Charged,_Then_Asks_for_Apology_From_Those_Who_Reported_It_by_Recycling
      Garrett's_Plea_for_Apology


2026- SLAPP_Censorship_-_Part_70_Out_of_200:_Microsoft's_Graveley_Injunction_Request
05-08 100%_the_Same_as_Garrett's_(Pure_'Copy-paste',_Not_Even_a_Word_or_Single
      Character_Changed!)


2026- SLAPP_Censorship_-_Part_71_Out_of_200:_5RB_Barristers_Made_Tens_of_Thousands_of
05-09 Pounds_by_Changing_From_Plural_to_Singular_for_Microsoft's_Graveley_and_Garrett


2026- SLAPP_Censorship_-_Part_72_Out_of_200:_Microsoft's_Graveley_and_Garrett_Signed
05-10 Documents_That_Hold_Them_Accountable_to_Truth_and_Liable_for_Lies


2026- SLAPP_Censorship_-_Part_73_Out_of_200:_Microsoft's_Graveley_and_Garrett_Remain
05-11 Closely_Connected_in_May_2026_("Tag-Teaming"_Against_Bloggers_in_Another
      Continent)


2026- SLAPP_Censorship_-_Part_74_Out_of_200:_The_Basis_of_My_Lawsuit_Against_Alex
05-12 Graveley,_Who_Helps_Garrett_Stack_the_Docket_in_Another_Continent


2026- SLAPP_Censorship_-_Part_75_Out_of_200:_All_True,_All_Verifiable,_Unlike_Garrett
05-12 and_Graveley_Lying_to_at_Least_Three_High_Court_Judges_About_What_They_Did


2026- SLAPP_Censorship_-_Part_76_Out_of_200:_The_Problem_With_the_United_Kingdom
05-14 Allowing_Americans_to_File_Lawsuits_by_Proxy_(Relayed_by_"Hired_Guns")


2026- SLAPP_Censorship_-_Part_77_Out_of_200:_They_Never_Knew_How_to_Handle_Women_
05-15 (Except_to_Attack_Them)


2026- SLAPP_Censorship_-_Part_78_Out_of_200:_Slandering_Me_for_Saying_the_Truth_About
05-16 Graveley_and_Garrett's_Abuse_of_Processes,_Stacking_Dockets


2026- SLAPP_Censorship_-_Part_79_Out_of_200:_They_Will_Soon_Reach_the_100_KG_
05-17 (Kilograms)_Milestone;_Wheelbarrows,_Not_Justice_(Quantity_of_Legal_Papers_Sent
      to_Us)


2026- SLAPP_Censorship_-_Part_80_Out_of_200:_Having_Run_Out_of_Time_to_Meet_a_Judge's
05-18 Deadline,_Microsoft's_Graveley_Had_Garrett's_Lawyers_Argued_My_~190-Page_Defence
      and_CounterClaim_(DCC)_Was_Unclear_About_My_Position


2026- SLAPP_Censorship_-_Part_81_Out_of_200:_SLAPP_Censorship_Does_Not_Work_If_Your
05-19 Sole_Strategy_is_Revenge_(and_You_Attack_the_Family)


2026- SLAPP_Censorship_-_Part_82_Out_of_200:_British_Government_Intervenes_in_the
05-20 SLAPPs_by_Brett_Wilson_LLP


2026- SLAPP_Censorship_-_Part_83_Out_of_200:_Religion_is_Still_Alive,_But_for_Many
05-20 This_Religion_is_Monetary_(Greed,_Monopolies,_Corporate_Power)


2026- SLAPP_Censorship_-_Part_84_Out_of_200:_New_Legislation_Against_SLAPPs_on_the_Way
05-22 (After_We_Reached_Out_to_Ministers)


2026- SLAPP_Censorship_-_Part_85_Out_of_200:_The_United_Kingdom's_Rating_for_Press
05-23 Freedom_Has_Improved,_But_We_Can_Do_Even_Better


2026- SLAPP_Censorship_-_Part_86_Out_of_200:_The_Position_of_Courts_on_Computer-
05-24 Generated_Lawsuits_and_Filings_From_Another_Continent_(Made_by_Two_Men_Who_Work
      for_Slop_Companies)


2026- SLAPP_Censorship_-_Part_87_Out_of_200:_Access_to_Justice
05-25


2026- SLAPP_Censorship_-_Part_88_Out_of_200:_Brett_Wilson_LLP_is_Defaming_Trans_People
05-26 in_America_Because_Garrett_Pays_Hired_Guns_to_Silence_Them


2026- SLAPP_Censorship_-_Part_89_Out_of_200:_SRA_Admits_Malfunction,_That's_Why
05-27 Transparency_is_Paramount


2026- SLAPP_Censorship_-_Part_90_Out_of_200:_When_Efforts_to_Silence_His_Spouse_and
05-28 Also_the_Wife_of_a_Blogger_in_Another_Continent_Only_Give_More_Exposure_to
      Embarrassing_Information


2026- SLAPP_Censorship_-_Part_91_Out_of_200:_Legal_Aid_in_Support_of_Freedom_of_the
05-29 Press_and_British_Women_(Attacked_by_Americans)


2026- SLAPP_Censorship_-_Part_92_Out_of_200:_A_Spouse_Cannot_be_Turned_"On"_and_"Off"
05-30 Like_a_Faucet


2026- SLAPP_Censorship_-_Part_93_Out_of_200:_A_Blueprint_of_Reckless_Lawfare_in_the
05-31 UK,_Waged_and_Funded_by_Americans_(in_Another_Continent)


2026- SLAPP_Censorship_-_Part_94_Out_of_200:_SLAPP_by_Garrett's_Litigation_Buddy
06-01 Started_20_Months_Ago,_He_Has_Not_Even_Put_in_His_Defence_Yet!


2026- SLAPP_Censorship_-_Part_95_Out_of_200:_The_Growing_Risk_of_Tolerating_Men_Who
06-02 Abuse_and_Physically_Assault_Women


2026- SLAPP_Censorship_-_Part_96_Out_of_200:_When_You_Receive_Death_Threats_From
06-03 Anonymous_Sockpuppets/Burner_Accounts_Connected_to_People_Who_Strangle_Women_and
      Tell_Women_to_Kill_Themselves


2026- SLAPP_Censorship_-_Part_97_Out_of_200:_Garrett_in_Hiding_(From_the_Simple
06-04 Observable_Fact_He's_Closely_Connected_to_the_Microsofter_Who_Strangles_Women,
      Tells_Women_to_Kill_Themselves,_and_Worse)


2026- SLAPP_Censorship_-_Part_98_Out_of_200:_Microsoft_Threatening_Real_Security
06-04 Researcher_With_Criminal_Investigation_for_Talking_About_Microsoft's_Bug_Doors/
      Back_Doors


2026- SLAPP_Censorship_-_Part_99_Out_of_200:_Graveley_and_Garrett_Seem_to_Have_Crashed
06-06 Brett_Wilson_LLP_(Worse_Than_Taking_Russian_Oligarchs_as_SLAPP_Clients)


2026- SLAPP_Censorship_-_Part_100_Out_of_200:_Interlude_and_Outline_of_the_First_Half,
06-07 3+_Months_That_Got_Us_Death_Threats_Connected_to_Brett_Wilson_LLP_(and_Cyber
      Attacks_That_Are_Difficult_to_Attribute)


2026- SLAPP_Censorship_-_Part_101_Out_of_200:_Women_Come_to_Realise_They_Don't_Wish_to
06-08 Participate_in_Attacking_Vulnerable_Women


2026- SLAPP_Censorship_-_Part_102_Out_of_200:_Maybe_One_Day_Whistleblowers_From_Brett
06-09 Wilson_LLP_Will_Tell_Us_What_Really_Happened


2026- SLAPP_Censorship_-_Part_103_Out_of_200:_Telling_People_What_They_Know_and_Don't
06-10 Know_About_Death_Threats_They_Receive


2026- SLAPP_Censorship_-_Part_104_Out_of_200:_Exactly_Two_Years_Ago_Brett_Wilson_LLP
06-12 Humiliated_or_Weaponised_Our_Solicitor's_Judaism_in_an_Effort_to_Censor_and_Gag
      Us


2026- SLAPP_Censorship_-_Part_105_Out_of_200:_When_Bad_Legal_Advice_Results_in_Your
06-13 Client,_Dale_Vince,_Ordered_to_Pay_£600k_-_or_801,930_United_States_Dollar_(USD)
      -_to_the_Person_Frivolously_Sued_(Lord_Bailey_of_Paddington)


2026- SLAPP_Censorship_-_Part_106_Out_of_200:_100_Kilograms_of_Legal_Papers
06-14


2026- SLAPP_Censorship_-_Part_107_Out_of_200:_Keeping_Law_Accessible_to_Everybody
06-15


2026- SLAPP_Censorship_-_Part_108_Out_of_200:_Moving_On_and_Moving_Up
06-16


2026- SLAPP_Censorship_-_Part_109_Out_of_200:_When_You_Drag_Family_Members_Into_a_Case
06-17 Unrelated_to_Them_Because_Their_Relative_Published_Something


2026- SLAPP_Censorship_-_Part_110_Out_of_200:_Anti-SLAPP_Reform_Formally_Advanced_in
06-18 the_United_Kingdom_(UK)_the_Same_Week_the_Serial_Strangler_From_Microsoft_(US)
      Does_Forum-Shopping_in_the_UK


2026- SLAPP_Censorship_-_Part_111_Out_of_200:_Garrett_and_Graveley_(the_Latter
06-19 Arrested_for_Strangling_Women)_Keep_Ousting_Their_Collaboration_in_Litigation,
      Lawfare_in_a_Foreign_Continent


2026- SLAPP_Censorship_-_Part_112_Out_of_200:_Strangles_Women,_Then_Refuses_to_Even
06-20 Attend_Any_of_His_Own_Hearings_About_It


2026- SLAPP_Censorship_-_Part_113_Out_of_200:_The_United_Kingdom_is_Not_Turkey
06-21


2026- SLAPP_Censorship_-_Part_114_Out_of_200:_Thousands_of_Long_Articles_to_Come,
06-22 Properly_Covering_the_SLAPP_Industry_in_the_UK_and_Its_Modus_Operandi


2026- SLAPP_Censorship_-_Part_115_Out_of_200:_Spending_the_Next_Decade_Writing_About
06-23 SLAPPs_and_Trying_to_Fix_the_System


2026- SLAPP_Censorship_-_Part_116_Out_of_200:_5_Years_of_Multiparty_Lawfare_Against
06-23 Techrights,_Funded_by_Americans_and_Also_by_Third_Parties_(Including_Microsoft
      Salaries)


2026- SLAPP_Censorship_-_Part_117_Out_of_200:_Libel_Tourism_or_Defamation_Forum-
06-24 Shopping_in_the_United_Kingdom_Condemned_by_the_European_Union_(EU)


2026- SLAPP_Censorship_-_Part_118_Out_of_200:_Exposing_Crimes_is_Not_a_Crime,_It_is_a
06-25 Public_Service


2026- SLAPP_Censorship_-_Part_119_Out_of_200:_Our_Suggestions_to_Our_Politicians_and
06-26 Heads_of_State


2026- SLAPP_Censorship_-_Part_120_Out_of_200:_Garrett_Undermines_His_Own_Application
06-27 Because_His_Friend_Graveley_Failed_to_Accomplish_What_They_Had_Both_Aimed_For


2026- SLAPP_Censorship_-_Part_121_Out_of_200:_One_Day_We'll_Discover_What_Company_or
06-28 Rich_Person/s_Funded_the_Lawfare_Against_Us


2026- SLAPP_Censorship_-_Part_122_Out_of_200:_Garrett's_Solicitors_Confirm_That
06-29 Garrett_is_Ban-Evading_and_Spying_on_Our_IRC_Network


2026- SLAPP_Censorship_-_Part_123_Out_of_200:_Why_Violence_Against_Animals_Matters
06-30


2026- SLAPP_Censorship_-_Part_124_Out_of_200:_The_Court_Deems_My_Wife_Connected_to_the
07-01 Case_of_the_Serial_Strangler_From_Microsoft,_Invites_Her_to_the_Hearing_Last
      Week


2026- SLAPP_Censorship_-_Part_125_Out_of_200:_Litigants_in_Person_(LIPs)_Handling
07-02 American_Lawfare_Funded_by_Third_Parties_(About_a_Million_Pounds_for_100
      Kilograms_of_Legal_Papers)


2026- SLAPP_Censorship_-_Part_126_Out_of_200:_Becoming_More_Aggressive_Against_Us_Only
07-03 Proves_Us_Right


2026- SLAPP_Censorship_-_Part_127_Out_of_200:_Lawsuits_by_Americans_Filed_in_the_UK_a
07-04 Burden_on_British_Taxpayers,_No_Way_to_Recover_the_Funds_When_Americans_Lose
      Their_Cases


2026- SLAPP_Censorship_-_Part_128_Out_of_200:_Making_Laws_Work_for_Britain,_Not
07-05 Oversensitive_Americans_Looking_for_'Revenge'_by_Lawfare


2026- SLAPP_Censorship_-_Part_129_Out_of_200:_Iranian_Tactics
07-06


2026- SLAPP_Censorship_-_Part_130_Out_of_200:_Jealousy,_Envy,_Hubris
07-06


2026- SLAPP_Censorship_-_Part_131_Out_of_200:_A_Big_Win_for_the_Media_in_the_United
07-07 Kingdom_(UK)_Today


2026- SLAPP_Censorship_-_Part_132_Out_of_200:_When_You_Cannot_Pay_a_Million_Pounds_
07-07 (1,335,520.00_United_States_Dollar)_to_Lawyers_But_Have_a_Strong_Community


2026- SLAPP_Censorship_-_Part_133_Out_of_200:_Lies_by_Omission
07-29


2026- SLAPP_Censorship_-_Part_134_Out_of_200:_What_"Majority_Rules"_Tell_Us_About_the
07-30 Litigant


2026- SLAPP_Censorship_-_Part_135_Out_of_200:_Limited_Liability_Partnership_(LLP)_That
07-31 Does_Not_Disclose_Financial_Activities_Before_August


2026- SLAPP_Censorship_-_Part_136_Out_of_200:_Lawyers_That_Get_Paid_to_Mess_About
08-01


2026- SLAPP_Censorship_-_Part_137_Out_of_200:_Discovering_That_Spending_a_Million
08-02 British_Pounds_(1,348,250.01_United_States_Dollars)_on_Lawyers_Cannot_Take_Down
      One's_Critics


2026- SLAPP_Censorship_-_Part_138_Out_of_200:_Garrett_Has_Basically_"Lost"_and_It_is
08-03 "Embarrassing"_to_Them


2026- SLAPP_Censorship_-_Part_139_Out_of_200:_Solicitors_Regulation_Authority_(SRA)
08-04 Needs_More_Public_Scrutiny_(New_Management_Changed_Nothing,_It's_Costing_a_Lot
      of_Taxpayers'_Money)


2026- SLAPP_Censorship_-_Part_140_Out_of_200:_You_Become_What_You_Eat,_Your_Clients
08-05 Become_You


2026- SLAPP_Censorship_-_Part_141_Out_of_200:_Brett_Wilson_LLP_Failed_to_Learn_From
08-06 the_Mistakes_of_the_European_Patent_Office_(EPO)


2026- SLAPP_Censorship_-_Part_142_Out_of_200:_GemText_is_Not_a_Webpage,_Gemini
08-07 Protocol_is_Not_the_Web,_and_Capsules_Are_Not_Websites


2026- SLAPP_Censorship_-_Part_143_Out_of_200:_After_Nearly_10_Attempts_to_Settle_With
08-08 Us_and_Over_a_Million_Pounds_Spent_on_Lawyers_and_Barristers


2026- SLAPP_Censorship_-_Part_144_Out_of_200:_The_"Hired_Guns"_("Media"_at_BW)_Shrank
08-09 Almost_Three-Fold_Since_They_Sued_Us_in_2024


2026- SLAPP_Censorship_-_Part_145_Out_of_200:_They_Tried_Hard_to_Hide_the_Fact_Their
08-10 Client_Had_Been_Sued,_Twice_Even


2026- SLAPP_Censorship_-_Part_146_Out_of_200:_An_Industry_of_Plagiarism,_'Normalised'
08-11


2026- SLAPP_Censorship_-_Part_147_Out_of_200:_The_SLAPP_Series_is_'Slow'_Because
08-12 Timing_Matters


2026- SLAPP_Censorship_-_Part_148_Out_of_200:_The_Manosphere
08-13


2026- SLAPP_Censorship_-_Part_149_Out_of_200:_It_Took_a_Long_Time_to_Show_What_Jason
08-14 Arday_(at_Cambridge)_and_Harvey_Weinstein_(in_Hollywood)_Really_Were


2026- SLAPP_Censorship_-_Part_150_Out_of_200:_Always_Independently_Verify_What_People
08-15 Claim_to_Be_(or_Find_Yourself_in_a_Jason_Arday-Type_Moment/Dilemma)


2026- SLAPP_Censorship_-_Part_151_Out_of_200:_Dealing_With_Sleazy_People_and_Companies
08-16 That_Steal_(While_Employing_These_Sleazy_People)


2026- SLAPP_Censorship_-_Part_152_Out_of_200:_Injunctions_Do_Not_Cover_Criticism,_They
08-17 Have_Scope


2026- SLAPP_Censorship_-_Part_153_Out_of_200:_Decades_of_Debt,_Weaponising_Borrowed
08-18 Money_to_Try_to_Put_Their_Critics_in_Debt


2026- SLAPP_Censorship_-_Part_154_Out_of_200:_Computer-Generated_Legal_Filings_From
08-19 Men_Who_Are_Salaried_by_Mass_Plagiarism_Companies_in_Another_Continent_(America)


2026- SLAPP_Censorship_-_Part_155_Out_of_200:_Throwing_Stones_in_Houses_Made_of_Glass
08-20


2026- SLAPP_Censorship_-_Part_156_Out_of_200:_Brett_Wilson_LLP_Becoming_Wilson_FC
08-21


2026- SLAPP_Censorship_-_Part_157_Out_of_200:_What_is_a_'Defamation_Troll'?
08-21


2026- SLAPP_Censorship_-_Part_158_Out_of_200:_Making_Alliances_With_Men_Arrested_for
08-22 Strangling_Women_Was_Always_a_Terrible_Strategy


2026- SLAPP_Censorship_-_Part_159_Out_of_200:_Telling_Courts_False_Information_and
08-23 Spoon-feeding_Them_Insults,_Hoping_or_Expecting_Them_to_Repeat_These_Insults


2026- SLAPP_Censorship_-_Part_160_Out_of_200:_In_Astounding_Repetition_of_Last_Year,
08-24 Brett_Wilson_LLP_Deliberately_Ignores_Holidays_of_People_It_is_Attacking_and
      Crushes_Principles_of_Access_to_Justice


2026- SLAPP_Censorship_-_Part_161_Out_of_200:_Low_Standards_in_Defamation_Cases_Just
08-25 Muddy_the_Waters_and_Distract_From_Legitimate_Cases


2026- SLAPP_Censorship_-_Part_162_Out_of_200:_An_Outline_of_Events
08-26


2026- SLAPP_Censorship_-_Part_163_Out_of_200:_Attack_on_Computer_Science_and_on
08-27 Computer_Security_(or_Associating_Back_Doors_and_Kill_Switches_With_"Security")


2026- SLAPP_Censorship_-_Part_164_Out_of_200:_Patent_Troll_SLAPPs,_Defamation_Trolls,
08-28 and_Stranglers_From_America


2026- SLAPP_Censorship_-_Part_165_Out_of_200:_Two_Years_Since_My_Wife_and_I_Sued
08-29


2026- SLAPP_Censorship_-_Part_166_Out_of_200:_Garrett_Wasn't_Found_Innocent_Per_Se,
08-30 the_Court_Wanted_More_Evidence_of_Who_Was_Behind_Particular_Accounts_Using_Tor


2026- SLAPP_Censorship_-_Part_167_Out_of_200:_The_Court_of_Appeal_Might_be_the_Next
08-31 Step


2026- SLAPP_Censorship_-_Part_168_Out_of_200:_When_Choosing_Clients_Recklessly_and
09-01 Poorly_Self-Harm_is_Inevitable


2026- SLAPP_Censorship_-_Part_169_Out_of_200:_Calling_People_"Nazis"
09-02


2026- SLAPP_Censorship_-_Part_170_Out_of_200:_Downtimes
09-03


2026- SLAPP_Censorship_-_Part_171_Out_of_200:_Talking_About_Corruption_and_Violence
09-04 Against_Women


2026- SLAPP_Censorship_-_Part_172_Out_of_200:_The_Solicitors_Regulation_Authority_
09-05 (SRA)_Complicit_in_the_SLAPPs_by_Inaction_(Didn't_Even_Study_Any_Evidence,_Only
      Wasted_Time_and_Budget)


2026- SLAPP_Censorship_-_Part_173_Out_of_200:_Two_Years
09-06


2026- SLAPP_Censorship_-_Part_174_Out_of_200:_Cascading_Scandals_and_a_Path_Towards
09-07 Much-Needed,_Long-Awaited_Reform


2026- SLAPP_Censorship_-_Part_175_Out_of_200:_Implicit_and_Explicit_Coalition_Against
09-08 the_UK's_SLAPP_Industry


2026- SLAPP_Censorship_-_Part_176_Out_of_200:_The_Sex-Obsessed_Non-Experts
09-09


2026- SLAPP_Censorship_-_Part_177_Out_of_200:_Manosphere_Without_Financial
09-09 Transparency


      SLAPP_Censorship_-_Part_178_Out_of_200:_Explaining_to_Your_American_Clients_That
2026- Spending_130,000+_United_States_Dollars_on_a_Single_Hearing_in_Another_Continent
09-11 Means_the_UK's_National_Archives_Will_Retain_in_Perpetuity_What_Your_Spouse_or
      Girlfriend_Said


2026- SLAPP_Censorship_-_Part_179_Out_of_200:_Using_One's_Clients_to_Save_Face_at
09-12 Their_Expense


2026- SLAPP_Censorship_-_Part_180_Out_of_200:_A_Third_Act,_(Mis)Using_Your_Client's
09-12 Application_to_the_Court_for_Your_Own_Purposes_as_a_Law_Firm_(Reputation
      Management_and_Censorship)


2026- SLAPP_Censorship_-_Part_181_Out_of_200:_This_is_Really_More_Like_Brett_Wilson
09-13 LLP_v_Schestowitz_(Using_Money_From_American_Slop_Companies,_Plagiarism_Pushers)


    * Efforts_to_Cancel_Matt_Mullenweg_Have_Made_Us_More_Sympathetic_Towards
      Mullenweg_and_More_Sceptical_of_the_People_Who_Run_Automattic_(Named
      After_Mullenweg)
    * Gemini_Links_13/09/2026:_Never_Settling,_Plain_Text_Digital_Life,_and
      Newsgroups


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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⢉⠉⣏⡋⢥⢸⣿⡍⢫⠙⡉⢙⣙⢉⣉⡇⡋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣶⣶⣶⣶⣾⣶⣿⣷⣾⣶⣿⣶⣾⣶⣶⣷⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡏⣭⣭⣭⣭⢩⣭⣭⣭⣭⣭⣭⣭⣭⣭⢩⣭⣭⣭⣭⣭⣭⣭⣭⣭⢩⣭⣭⣭⣭⣭⣭⣭⣭⣭⢩⣭⣭⣭⣭⣭⣭⣭⣭⣭⢩⣭⣭⣭⣭⣭⣭⣭⣭⣭⢩⣭⣭⣭⣭⣭⣭⣭⣭⣭⢩⣭⣭⣭⣭⡝⣿
⣿⣿⣿⣿⣿⣿⡇⣿⣽⣽⣿⡹⢩⢌⡡⡍⣯⡥⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿
⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿
⣿⡋⣿⢍⢫⢻⠇⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣏
⣿⣧⣵⣭⣷⣾⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣧
⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⡇⣋
⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡇⣓
⣿⣿⣿⠿⡿⢿⡇⠉⣿⡇⢹⢻⢹⠉⡇⡏⢸⢸⠉⡏⡇⢼⢸⠈⡏⡏⢹⠉⡏⡏⢹⢹⠈⣿⡏⢹⢸⠈⡏⡇⡏⢸⢸⠉⡏⡏⢹⢹⠉⡏⡇⢹⠈⡏⡏⢹⢹⠈⣿⡇⢹⢸⠀⡇⡇⡏⢸⢹⠁⡇⡇⢼⢸⠀⡇⢸⠀⡏
⣿⣿⣇⣊⣜⣸⡆⠀⣷⡆⢰⢻⢰⠀⡇⡆⢸⢸⠀⡇⡇⢼⢸⠀⡇⡇⢸⠀⡇⡆⢰⢸⠀⣾⡇⢸⢸⠈⡇⡇⡇⢸⢰⠀⡇⡇⢸⢸⠀⡇⡇⢸⠀⡇⡇⢸⢸⠀⣿⡆⢰⢸⠈⡆⡇⡆⢸⢸⠀⡆⡇⢴⢸⠀⡇⢰⠀⡗
⣿⣿⣿⣿⣿⣿⡇⠀⣿⡇⢸⢻⢸⠀⡇⡇⢸⢸⠀⡇⡇⢼⢸⠀⡇⡇⢸⠀⡇⡇⢸⢹⠀⣿⡇⢸⢸⠀⡇⡇⡇⢸⢸⠀⡇⡇⢸⢸⠀⡇⡇⢸⠀⡇⡇⢸⢸⠀⣿⡇⢸⢸⠀⡇⡇⡇⢸⢸⠀⡇⡇⢼⢸⠀⡇⢸⠀⡧
⣿⣿⣿⣿⣿⣿⡇⠀⣿⡇⢸⢻⢸⠀⡇⡇⢸⢸⠀⡇⡇⢼⢸⠀⡇⡇⢸⠀⡇⡇⢸⢹⠀⣿⡇⢸⢸⠀⡇⡇⡇⢸⢸⠀⡇⡇⢸⢸⠀⡇⡇⢸⠀⡇⡇⢸⢸⠀⣿⡇⢸⢸⠀⡇⡇⡇⢸⢸⠀⡇⡇⢼⢸⠀⡇⢸⠀⣷
⣿⣿⣿⣿⣿⣿⡇⠀⣿⡇⢸⢻⢸⠀⡇⡇⢸⢸⠀⡇⡇⣼⢸⠀⡇⡇⢸⠀⡇⡇⢸⢹⠀⣿⡇⢸⢸⠀⡇⡇⡇⢸⢸⠀⡇⡇⢸⢸⠀⡇⡇⢸⠀⡇⡇⢸⢸⠀⣿⡇⢸⢸⠀⡇⡇⡇⢸⢸⠀⡇⡇⣼⢸⠀⡇⢸⠀⣿
⣿⣿⣿⣿⢋⢻⠇⠀⠿⠇⠸⠹⠸⠀⠇⠇⠸⠸⠀⠇⠇⠸⠸⠀⠇⠇⠸⠀⠇⠇⠸⠹⠀⠿⠇⠸⠸⠀⠇⠇⠇⠸⠸⠀⠇⠇⠸⠸⠀⠇⠇⠸⠀⠇⠇⠸⠸⠀⠿⠇⠸⠸⠀⠇⠇⠇⠸⠸⠀⠇⠇⠸⠸⠀⠇⠸⢀⣿
⣿⣿⣿⣿⣷⣾⣿⣿⣿⠻⠻⠾⠿⢿⣿⣿⣿⣿⣿⡛⡻⡾⠿⢿⣿⣿⣿⣿⣿⠻⠻⠾⠿⢻⣿⣿⣿⣿⣿⡛⡛⠾⢿⢿⣿⣿⣿⣿⣿⠛⡻⠾⠟⣿⣿⣿⣿⣿⣿⠛⣻⠾⠻⣿⣿⣿⣿⣿⣿⠛⡻⡾⠿⢿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣤⣥⣼⣼⣿⣿⣿⣿⣿⣧⣧⣥⣤⣼⣿⣿⣿⣿⣿⣤⣤⣴⣬⣼⣿⣿⣿⣿⣿⣧⣧⣧⣬⣼⣿⣿⣿⣿⣿⣼⣧⣿⣥⣿⣿⣿⣿⣿⣿⣭⣤⣤⣮⣽⣿⣿⣿⣿⣿⣭⣤⣥⣼⣼⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⣶⣶⣶⣶⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣴⣶⣶⣶⣶⣶⣶⣶⡶⠖⠴⡶⠶⠶⠶⢶⠶⣖⣶⠶⣴⣶⠶⡶⢶⠶⡶⢶⠶⡖⢴⠶⡶⠖⣶⡆⣿
⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣬⣥⣧⣥⣤⣧⣼⣤⣴⣯⣽⣤⣿⣿⣿⣧⣼⣭⣮⣥⣿⣧⣭⣤⣦⣥⣿⡇⣿
⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⡇⣿
⣿⠞⢌⢆⡱⣨⡅⢽⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡅⡃
⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿
⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣒
⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡭
⣿⡋⡟⡙⢋⠻⠇⠀⠿⠿⣿⣿⢿⡿⡿⣿⢿⢿⡿⡿⡿⢿⣿⠿⡿⣿⣿⢿⡿⡿⣿⢿⠿⣿⡿⢿⢿⢿⡿⡿⣿⢿⢿⠿⡿⣿⢿⢿⡿⡿⡿⢿⡿⡿⡿⢿⣿⠿⣿⡿⣿⢿⢿⡿⡿⣿⢿⢿⡿⡿⣿⢿⣿⠿⣿⠿⠇⣗
⣿⣥⣵⣴⣦⣾⡇⠀⣿⡇⢸⣼⢸⠀⡇⡇⢸⢸⠀⡇⡇⢻⢸⠀⡇⡇⢸⠀⡇⡇⢸⣼⠀⣿⡇⢸⢸⠀⡇⡇⡇⢸⢸⠀⡇⡇⢸⢸⠀⡇⡇⢸⠀⡇⡇⢸⢸⠀⣿⡇⢸⢸⠀⡇⡇⡇⢸⢸⠀⡇⡇⢻⢸⠀⡇⢸⠀⡭
⣿⣿⣿⣿⣿⣿⡇⠀⣿⡇⢸⣼⢸⠀⡇⡇⢸⢸⠀⡇⡇⢻⢸⠀⡇⡇⢸⠀⡇⡇⢸⣸⠀⣿⡇⢸⢸⠀⡇⡇⡇⢸⢸⠀⡇⡇⢸⢸⠀⡇⡇⢸⠀⡇⡇⢸⢸⠀⣿⡇⢸⢸⠀⡇⡇⡇⢸⢸⠀⡇⡇⢻⢸⠀⡇⢸⠀⣇
⣿⣿⣿⣿⣿⣿⡇⠀⣿⡇⢸⣼⢸⠀⡇⡇⢸⢸⠀⡇⡇⢻⢸⠀⡇⡇⢸⠀⡇⡇⢸⣸⠀⣿⡇⢸⢸⠀⡇⡇⡇⢸⢸⠀⡇⡇⢸⢸⠀⡇⡇⢸⠀⡇⡇⢸⢸⠀⣿⡇⢸⢸⠀⡇⡇⡇⢸⢸⠀⡇⡇⢺⢸⠀⡇⢸⠀⣿
⣿⣿⣿⣿⣿⣿⡇⠀⣿⡇⢸⣼⢸⠀⡇⡇⢸⢸⠀⡇⡇⢺⢸⠀⡇⡇⢸⠀⡇⡇⢸⢸⠀⣿⡇⢸⢸⠀⡇⡇⡇⢸⢸⠀⡇⡇⢸⢸⠀⡇⡇⢸⠀⡇⡇⢸⢸⠀⣿⡇⢸⢸⠀⡇⡇⡇⢸⢸⠀⡇⡇⢺⢸⠀⡇⢸⠀⣿
⣿⣿⣿⣿⡱⣨⣥⣤⣭⣥⣬⣨⣬⣤⣥⣥⣬⣬⣤⣥⣥⣨⣬⣤⣥⣥⣬⣤⣥⣥⣬⣨⣤⣭⣥⣬⣬⣤⣥⣥⣥⣨⣬⣤⣥⣥⣬⣬⣤⣥⣥⣨⣤⣥⣥⣬⣬⣤⣭⣥⣬⣨⣤⣥⣥⣥⣬⣬⣤⣥⣥⣨⣬⣤⣥⣬⣤⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⢈⠘⡝⢩⢻⣿⣿⣿⣿⣿⡆⡎⡏⢋⣹⣿⣿⣿⣿⣿⠈⠈⣙⠩⢸⣿⣿⣿⣿⣿⡆⡆⡝⢹⢹⣿⣿⣿⣿⣿⢐⡎⣽⡅⣿⣿⣿⣿⣿⣿⢔⠭⡙⢩⢿⣿⣿⣿⣿⣿⢕⠊⡏⢩⢹⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣾⣾⣾⣾⣿⣿⣿⣿⣿⣷⣿⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣾⣿⣿⣿⣿⣿⣷⣷⣷⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣷⣿⣶⣷⣿⣿⣿⣿⣿⣿⣷⣿⣶⣾⣾⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 5497

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2026/09/13/Windows_Down_to_New_Lows_as_Switzerland_s_Federal_Government_Ab.shtml
    Gemini version at gemini://gemini.techrights.org/n/2026/09/13/Windows_Down_to_New_Lows_as_Switzerland_s_Federal_Government_Ab.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Windows Down to New Lows as Switzerland's
Federal Government Abandons Microsoft (Where Feasible for
Now)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Sep 13, 2026


That's how it starts...


In Switzerland, GNU/Linux is gaining a lot [1, 2] and in_recent_days_we_caught
many_articles_about_the_migration_away_from_Microsoft (if not Windows, too).


Yesterday, at one point, Clownflare Radar caught Windows at just 51% "market
share" on desktops/laptops:


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTTP requests by OS time series for Switzerland⦈


Notice Windows compared to GNU/Linux. Notice how Apple and GNU/Linux combined
were about equal to Windows. Based on statCounter, Windows_was_down_to_about
61.6%_earlier_this_year compared to 88% in 2009. That's on desktops/laptops
alone; it's vastly lower once iOS and Android are added. █


    * Over_at_Tux_Machines...
    * Links_13/09/2026:_Scam_Altman_Admits_Issues_(Financial),_Rival_Says_Stop
      Slop_(Plagiarism)


⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠈⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠙⠉⣿⣿⣿⣿⡟⠀⠈⠀⣿⣿⣿⣿⣿⠀⠛⠉⣿⣿⣿⣿⣿⠛⠟⠛⣿⣿⣿⣿⣿⠛⡟⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠈⠹⠟⠏⠛⠟⠛⢿⡿⣿⡿⠙⢻⡿⠻⢿⣿⣿⣿⣿⡇⠀⠀⠀⠻⣿⣿⣿⡇⠀⠀⠀⠘⣿⣿⣿⡇⠀⠀⠀⠀⠹⣿⣿⡏⠀⠀⠀⠉⠹⣿⣿⡇⠀⠀⠀⠘⠋⠙⣿⣿⣿⣿⡿⠿⠟⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠉⠙⠙⢿⠃⠀⠀⠀⠀⠹⠿⡿⠁⠀⠀⠀⠀⠈⠁⠙⠁⠀⠀⠀⠀⠀⠘⣿⡇⠀⠀⠀⠀⠀⠙⣿⡇⠀⠀⠀⠀⠀⠀⢹⣿⠟⠃⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠸⢟⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⡟⣻⡟⠟⡟⣟⡿⣿⢿⠿⠛⣿⠛⢻⡛⢿⡿⣟⡻⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣏⢉⣏⣉⣉⣉⣉⣉⣉⣩⣯⣋⣏⣙⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⠿⣿⢿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⢄⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⣿⣿⣿⣷⣷⣿⣷⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣽⣟⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⡻⢿⣿⣻⣿⡿⣿⢿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡶⡖⡓⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣲⣏⣻⣪⣗⣿⣗⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⡿⣿⡿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣼⣿⣷⣾⣾⣦⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 5570

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Gemini Links 13/09/2026: Never Settling,
Plain Text Digital Life, and Newsgroups⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Sep 13, 2026


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Drawings of Whales in the Log of the Ship Indian Chief⦈


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


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


          o § Personal/Opinions⠀➾


                # ⚓ fate⠀⇛


                       The old me is still living in this house. I have
                       such a hard time to see myself living anywhere
                       else. As if it was impossible. I feel like it's
                       time to move.


                       The memories of raising my daughter in this house
                       keep me still, keep me stuck. This is the place
                       where I spent the most time in my entire life. Yet
                       I feel alien to this place, to this community.


          o § Technology and Free Software⠀➾


                # ⚓ Never_Settling⠀⇛


                       I tend to go through cycles of what I like to use.
                       That's one reason why it's difficult for me to get
                       rid of things I already own. I own both a large
                       wallet that can carry a chequebook and a small
                       wallet that fits in my front pocket, and each year
                       I swap them out and change my everyday carry style
                       completely. One day I want to confine my computing
                       to one location on a desktop computer; six months
                       later, I'm living on my Gemini PDA as an
                       ultraportable, and by the end of the year I've
                       moved back to a laptop, only to switch to my
                       DevTerm and finally back to my desktop. I love the
                       utility of a large notebook, only to desire the
                       portability of a small notebook, and I long for the
                       feeling of writing with my fountain pen while
                       missing the versatility of a basic ball-point.


                # ⚓ Shared_adventures_in_plain_text⠀⇛


                       John has also been thinking about plain text


                # § Internet/Gemini⠀➾


                      # ⚓ Newsgroup_mirror's_back_(again)⠀⇛


                             The script wasn't very well written, it soon
                             broke, I patched it up, for a while it
                             trundled on. Then some time in 2023 the free
                             service I used to access the newsgroup, AIOE,
                             went down and the service stopped working
                             again.


                             I now have access to the newsgroup again so I
                             decided to resurrect the mirror. The original
                             Python script relied on `nntplib` which at
                             the time was part of the standard library,
                             but was deprecated in 3.11 and removed in
                             3.13. So I rewrote it using the third-party
                             `pynntp`. A


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


===============================================================================
Image source: Drawings_of_Whales_in_the_Log_of_the_Ship_Indian_Chief


===============================================================================
    * SLAPP_Censorship_-_Part_182_Out_of_200:_UK_Dockets_With_Machine-Generated
      Applications_to_the_Court_(From_American_Slop_Companies)
    * Links_13/09/2026:_Republican_Campaign_Aide_Uses_Nazi_Photo_and_Convicted
      Felon_is_Wielding_Power_to_Stifle_Speech



                    ䷩ 𝚕𝚒𝚗𝚎 5685

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Gemini Links 13/09/2026: Why Omarchy is
"Plain Disgusting" and "AI Slop" and Why "Plain Text To Do List"
Rocks⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Sep 13, 2026


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Missouri Botanical Garden⦈


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


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


          o § Personal/Opinions⠀➾


                # ⚓ rot⠀⇛


                       the air is thick with the smell of rot
                       of leaves, mushrooms
                       the hopeful dreams
                       born on fragrant spring mornings
                       they turn into the ache of yearning
                       as intense as the nettles
                # ⚓ in_which_i_love_food_and_hate_capitalism⠀⇛


                       There is nowhere capitalism is not pissing me off
                       more right now than in food.


                       July-September is my annual season of Personal
                       Projects, in which I pick something in my life that
                       needs an overhaul and overhaul it. Past seasons of
                       Personal Projects have featured home repairs,
                       gardens and chickens, personal finance, and
                       Relearning How to Walk.


                       This year, it's been food. Gotta do something with
                       this garden produce. Also because my annual health
                       exam came back tens across the board, except that I
                       have high cholesterol. My doctor isn't terribly
                       concerned (my ratio is fantastic, apparently), but
                       it's the only health project I have so I'm gonna
                       obsess about it. I started reading about what
                       cholesterol is and how it works, and I fell down a
                       rabbit hole.


          o § Technology and Free Software⠀➾


                # ⚓ Command_line_applications_and_AI_tech_support⠀⇛


                       Does it really matter if I use Linux with a
                       graphical UI rather than the command line? After
                       all, for me Linux is just a replacement for Windows
                       which allows me to use 10 and 15 year-old laptops
                       without any problem, and I've been using it since
                       Windows 7 was current.


                # ⚓ Software_that_I_used_to_love_but_are_gone…_😢⠀⇛


                       Have you ever had that nostalgia, when you use some
                       specific software, that you feel you were happier
                       with something else?


                       To me, this happens often. Especially when I use
                       GNU/Linux, that is much more transformative than
                       FreeBSD (and BSD in general) and because I have
                       been using it longer than the latter; as a matter
                       of fact the my diving into FreeBSD has the same age
                       of this capsule.


                       It is not exactly the "old good days were better"
                       attitude, but perhaps a variation, who knows? I'll
                       let you decide.


                # ⚓ omarchy⠀⇛


                       Recently in the FOSS world, Omarchy has gained a
                       lot of attention. It's "opinionated" Arch with a
                       bunch of AI slop built in. This is just plain
                       disgusting.


                       1. AI is the Antichrist of computing and human
                       beings. It is wrong. It is expensive. It is dumbing
                       people down even more after the fucking moron
                       people addicted to TickTalk and other 10-second or
                       less videos.


                       2. It has a ton of security flaws. I guess when
                       you're getting AI slop-shitters to generate and
                       check code, you're going to have issues like any
                       program being able to perform tasks with root
                       permissions despite not being a sudoer or root.


                       3. In the irony of all ironies, the creator, DHH,
                       is a deep state conspiracy theorist. So evidently
                       the governments and other PTBs are out to get us (I
                       guess there is truth in commercial companies
                       stealing our data), and his solution is to have
                       those same PTBs' AIs code "his" OS...


                       [...]


                       Regardless of DHH's politics, which are too far
                       right for my tastes but certainly not the worst
                       I've seen, an insecure OS is pointless except in a
                       toy situation: you want to play around with it. As
                       incredible as Terry Davis is, his TempleOS is a toy
                       OS. Its usefulness is crippled by a lack of a
                       network stack. I'm not even sure if it has the
                       ability to transfer files to USB drives since I've
                       never bothered to try it myself. But yeah, I'm
                       pretty sure there aren't many people using TempleOS
                       as a real OS and expecting to get things done.


                # ⚓ Life_in_Plain_Text(2):_A_Plain_Text_To_Do_List⠀⇛


                       There is no end of software, apps and systems that
                       all claim to offer the route to a well-organised,
                       "mind like glass" life. Many of us will have been
                       down this rabbit hole. You know how it goes: you
                       read the blogposts and such, become convinced that
                       *this* is the software that will solve your
                       personal organisational problems. You try it with
                       enthusiasm for a while and it goes well at first.
                       You've found what you were looking for. You know
                       exactly what you're doing, when things are due, all
                       your priorities are in order.


                       But after a time, a few days, or weeks, or maybe
                       months, your enthusiasm starts to fade. The new
                       system isn't quite working for you anymore. And
                       then you read about another app that promises to
                       get you organised. You jump in with enthusiasm and
                       it goes well at first. And so it goes, round and
                       round.


          o § Programming⠀➾


                # ⚓ Picking_randomly_from_a_list⠀⇛


                       On reflection this comment requires more work than
                       may be necessary. Since the picked item is "going
                       away" we need not move it elsewhere. This
                       simplifies the lack-of-splice to: copy the last
                       element of the list into the slot of the picked
                       item (unless the picked item was the last element
                       in which case there's nothing to do), and reduce
                       the list count by one. More typical might be to
                       shuffle the list first and then pop or shift off
                       the head or tail for a random element, but
                       shuffling a list correctly can be tricky to get
                       right.


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


===============================================================================
Image source: Missouri_Botanical_Garden


===============================================================================
    * Links_13/09/2026:_Scam_Altman_Admits_Issues_(Financial),_Rival_Says_Stop
      Slop_(Plagiarism)
    * It_Sometimes_Feels_Like_Slop_Companies_Are_Committing_Online/Digital
      Crimes



                    ䷩ 𝚕𝚒𝚗𝚎 5895

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Links 13/09/2026: Republican Campaign Aide
Uses Nazi Photo and Convicted Felon is Wielding Power to Stifle
Speech⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Sep 13, 2026


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


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * Leftovers
          o Science_/_Mathematics_/_Computer_Science
          o Career/Education
          o Hardware
          o Health/Nutrition/Agriculture
          o Proprietary_/_Vendor_Lock-in_/_Malware
                # So-Called_'Artificial_Intelligence'_('AI')_/_LLM_Slop_/
                  Plagiarism
                # Windows_TCO_/_Windows_Bot_Nets
          o Security
          o Defence/Aggression
          o Environment
                # Energy/Transportation
                # Wildlife/Nature
          o AstroTurf/Lobbying/Politics
          o Censorship/Free_Speech
          o Civil_Rights_/_Policing_/_Accessibility
          o Monopolies/Monopsonies
                # Patents
    * § Leftovers⠀➾


          o ⚓ David Bushell ☛ RSS_Club_#009:_Domains_–_David_Bushell⠀⇛


                 I’ve lost track of how many domains I’ve bought for a
                 year and never used. “Buying” is the wrong terminology.
                 “Renting” or “leasing” should be legally enforced.


          o ⚓ Kyle Labriola ☛ Thinking_Back_on_Rick_and_Morty⠀⇛


                 Weirdly enough, I do remember where I was when Rick and
                 Morty premiered.


                 I was in my second semester of my sophomore year of
                 college. At the time, I was at the Rochester Institute of
                 Technology, majoring in Illustration (but considering a
                 switch to Animation) in hopes of maybe pursuing TV
                 Animation as a career. Game development and animated
                 films felt like pipe dreams, but maybe I would be good
                 enough for the TV cartoon pipeline.


          o ⚓ Ruben Schade ☛ A_decluttering_retrospective⠀⇛


                 One thing I have done since is be a bit smarter about
                 what I store. I realised last year that I was storing MP3
                 versions of FLAC files, when really I could just keep and
                 use the latter. I also actively use more ZFS-specific
                 features because they save space and time.


                 But who knows? If hardware prices remain stubbornly high
                 thanks to slop fondlers, I may need to revise this when
                 the drives fill up. Fingers crossed we can keep using
                 what we currently have for a while yet.


          o ⚓ Zach Manson ☛ notes:_email⠀⇛


                 Email is infuriating until you realise it's just paper
                 that can teleport, and each reply is also just paper, and
                 it has all the same strengths and weaknesses of letters
                 written on paper.


                 Which makes it immediately clear why email is so bad at
                 being a group chat.


          o § Science / Mathematics / Computer Science⠀➾


                # ⚓ Smithsonian Magazine ☛ A_Finnish_Metal_Detectorist_Was
                  Shocked_to_Unearth_a_Trove_of_Viking_Age_Silver_in_His
                  Hometown._Then_His_Detector_Went_Off_Again⠀⇛


                       The next day, Esko Tikkala, an archaeologist at the
                       nearby Lahti City Museums, arrived to inspect and
                       excavate the artifacts. According to a statement
                       from the museums, the collection includes a
                       fragment of hacksilver, a silver bracelet, a silver
                       charm, a silver bead and many silver coins—which
                       have not yet been cleaned, separated or counted.
                       The coins alone weigh just under ten pounds;
                       experts say there must be thousands.


                # ⚓ Daniel Estévez ☛ Decoding_the_Roman_Space_Telescope⠀⇛


                       I planned the observation for 2026-08-31, between
                       05:00 and 09:30 UTC, which is the first time that
                       the spacecraft would be visible from the ATA and
                       above the 16 degree elevation mask of the antennas.
                       During this observation the spacecraft was at a
                       distance of roughly 200000 km. The plot below shows
                       the azimuth and elevation used for antenna
                       tracking, and the distance to the object.


                # ⚓ Hackaday ☛ The_Heavy_Disco-Ball_Satellite_Designed_To_Do…
                  Nothing⠀⇛


                       The lens-like objects covering the surface of
                       LAGEOS-1 are corner cube retroreflectors, which
                       have the nifty effect of always reflecting incident
                       light right back towards its source.


                # ⚓ Science Alert ☛ The_Atlantic_Ocean_Has_a_Hidden_'Heat
                  Valve'_That_Controls_Earth's_Temperature_– And_It_Could_Be
                  Closing⠀⇛


                       Here we go.


                # ⚓ Science Alert ☛ A_Man_Went_to_Hospital_With_Blood_in_His
                  Urine._Doctors_Found_a_Needle_in_His_Heart.⠀⇛


                       Somehow, it kept beating.


                # ⚓ Futurism ☛ China_Deploys_Rare_Type_of_Space_Junk_That
                  Pollutes_Orbit_for_Hundreds_of_Years⠀⇛


                       Oh, great.


                # ⚓ Science Alert ☛ Physicists_Just_Turned_The_Entire_Planet
                  Into_a_Dark_Matter_Detector_–_And_Strange_Signals_Kept
                  Turning_Up⠀⇛


                       Just axion questions.


                # ⚓ Science Alert ☛ Astronomers_Spotted_a_'Bear'_on_Mars⠀⇛


                       Oh my!


                # ⚓ Science Alert ☛ Researchers_Discover_a_Green_Hydrogen
                  'Goldmine'_Beneath_Australia's_Red_Dirt⠀⇛


                       "Could be transformative for our energy future."


          o § Career/Education⠀➾


                # ⚓ Greece ☛ Digital_nomads_seeking_peace_and_quiet⠀⇛


                       As tourism market executives note, digital nomads
                       and remote work in general experienced an explosive
                       increase during the pandemic, but this trend does
                       not seem to be abating. “Quite the opposite. We are
                       seeing more coworking spaces opening, especially in
                       slightly more rural destinations such as Arcadia,
                       Kalamata, Ioannina, Volos, Chios, Corfu, but also
                       in Leros and Kastoria,” they tell Kathimerini.


                # ⚓ Alisa Sireneva ☛ Don't_call_yourself_an_artisanal
                  programmer⠀⇛


                       Which is where the dichotomy falls apart in my
                       eyes. By the book, I’m an artisanal coder, since I
                       don’t use LLMs. But if the industry calls the
                       opposite of “artisanal programmer” a “software
                       engineer”, isn’t there a subtext that I’m not an
                       engineer? This may seem like a minor point, but it
                       matters on a subconcious level. Care, attention,
                       and precision are the defining characteristic of
                       engineering – so why is this term appropriated by
                       people who are becoming closer and closer to
                       managers?


                       Back in my day (ahem), developers hated management
                       that wouldn’t allocate time to dealing with tech
                       debt, and the “move fast and break things” attitude
                       was considered childish. Nowadays, common knowledge
                       among developers says that vibecoding (I’m using
                       the term loosely) is the norm, and wasting time on
                       reliability work is unserious. Who is in the right?


                # ⚓ Jason Becker ☛ Media_Literacy_is_Dead⠀⇛


                       People today have no attention span. They can't
                       handle having a second screen near by. They don't
                       appreciate character development.


                       We need people to read books again so they
                       understand how this stuff works. And I don't mean
                       the people online who thinks its gatekeeping to say
                       when you read a book, yes, you have to read all the
                       words in the book, not just the dialog.


                # ⚓ James G ☛ Perspective⠀⇛


                       The perspective of the painting; the painting of
                       perspective; the perspective of the viewing. The
                       contrasts of the colours between canvases. The
                       contrasts of light between rooms.


                # ⚓ Mat Duggan ☛ I_Am_a_Flat-Rate_Monthly_Responsibility
                  Service⠀⇛


                       If you like to test and iterate on your theories as
                       you work, software is a dream. I don’t need a lab,
                       or equipment, or really anything other than any
                       laptop ever made. It’s like being a scientist if
                       the only thing you needed was one test tube, one
                       beaker, and some loose mercury rolling around on
                       your desk.


                       The driver for me going further and further down
                       the stack was that you don’t get a rush for solving
                       the same problem twice. The first time I diagnosed
                       a blown capacitor on a videocard, there’s a rush.
                       The tenth time, it’s just a job. Fixing problems in
                       a GUI was good for a while, but eventually, you
                       want harder problems that exist exclusively inside
                       of CLIs. Debugging closed-source software is boring
                       because you capture the logs and produce a bug
                       report like a good little citizen. Open-source
                       software lets you go right down to the metal.


                # ⚓ Protesilaos Stavrou ☛ The_courage_of_the_polymaths⠀⇛


                       The polymath has courage in that they are prepared
                       to move outside the comfort zone of any given
                       specialisation. They have the audacity to draw
                       linkages that others do not discern, not as a
                       matter of superior intellect but as a result of
                       trying in earnest. By “polymath” I apply the term
                       in its original meaning, the one who has knowledge
                       of many things, without implying that such a person
                       is necessarily a genius.


          o § Hardware⠀➾


                # ⚓ The Straits Times ☛ South_Korea’s_expanded_espionage_law
                  takes_effect_amid_push_to_protect_chip_technology⠀⇛


                       Espionage for a foreign country or organisation
                       will carry a minimum sentence of three years in
                       prison.


                # ⚓ David Revoy ☛ Gaomon_PD1161_V2_-_review_on_GNU/Linux_-
                  David_Revoy⠀⇛


                       So, in the review, I listed that the drawing and
                       painting experience is not terrible compare to
                       almost all other aspect; and my second positive
                       thing about this tablet is that Gaomon made
                       something out of the box for my GNU/Linux KDE
                       Plasma install. Is it because they reuse addresses
                       of a previous model already integrated in the
                       kernel? In udev-hid-bpf? I tried to search, but it
                       was hard to understand where this support comes
                       from.


                # ⚓ Hackaday ☛ Looking_At_A_TRS-80_12_MB_External_Hard_Drive
                  From_1983⠀⇛


                       The connection to the TRS-80 computer is handled by
                       a ribbon cable, while the HDD has its own built-in
                       power supply, rated at 60 Watt.


          o § Health/Nutrition/Agriculture⠀➾


                # ⚓ Futurism ☛ GLP-1_Users_Are_Being_Cruelly_Shamed_by_Their
                  Own_Families⠀⇛


                       "This has been a life-changing drug so far, and I
                       can't share it with the person I'm closest with."


                # ⚓ Science Alert ☛ Scientists_Gave_Cash_to_Low-Income_Moms,
                  And_It_Altered_Their_Babies'_Aging⠀⇛


                       Life-changing.


                # ⚓ SBS ☛ 'Their_kids_have_never_seen_their_arm':_The_tattoos
                  people_are_desperate_to_remove⠀⇛


                       For some clients, the tattoos they want removed
                       carry a darker history — racist symbols, hate-
                       related words and, in some cases, racist slogans.


                       For five years, Anderson's clinic has run a charity
                       program offering free removal of these tattoos.


                       "We've done al-Qaeda tattoos, we've done swastikas
                       and white power symbols," he says.


                # ⚓ [Old] BBC ☛ BBC_-_History_-_British_History_in_depth:_Black
                  Death⠀⇛


                       On average, between 30-45% of the general populace
                       died in the Black Death of 1348-50. But in some
                       villages, 80% or 90% of the population died (and in
                       Kilkenny at least, it seems likely that the death-
                       rate was 100%!). A death-rate of 30% is higher than
                       the total British losses in World War I.


                       Nor was 1350 the end of it. Plague recurred! It
                       came back in 1361-64, 1368, 1371, 1373-75, 1390,
                       1405 and continued into the fifteenth century.
                       Death rates in the later epidemics may have been
                       lower than the Black Death, but the sources reveal
                       a new horror: [...]


          o § Proprietary / Vendor Lock-in / Malware⠀➾


                # § So-Called 'Artificial Intelligence' ('AI') / LLM Slop /
                  Plagiarism⠀➾


                      # ⚓ Futurism ☛ Aging_Congress_Is_Completely_Ill-Equipped
                        to_Regulate_AI,_or_Seemingly_Even_Understand_It⠀⇛


                             "There is a percentage of my colleagues who
                             are still trying to spell AI."


                      # ⚓ Futurism ☛ Werner_Herzog_Demolishes_Talentless_Hacks
                        Who_Use_Hey_Hi_(AI)_to_Imitate_Other_Filmmakers⠀⇛


                             "It's mimicry of something that has happened
                             before."


                      # ⚓ France24 ☛ Anthropic_boss_calls_for_Hey_Hi_(AI)
                        slowdown,_Altman_and_MElon_agree⠀⇛


                             Anthropic CEO Dario Amodei on Saturday called
                             on artificial intelligence (AI) firms to slow
                             down the development of the powerful
                             technology, amid mounting worries over the
                             risks of "superintelligent" computer systems.


                      # ⚓ RFERL ☛ Anthropic_Disrupts_Iran's_Use_Of_Claude_To
                        Spread_Propaganda,_Spy_On_Dissidents⠀⇛


                             Anthropic said it has disrupted attempts by
                             Iran to use its artificial intelligence (AI)
                             models to disseminate state propaganda and
                             spy on ethnic minorities and dissidents.


                      # ⚓ Tom's Hardware ☛ Iran_and_Houthi_rebels_used
                        Anthropic's_Claude_Hey_Hi_(AI)_to_target_US_warships
                        and_build_hypersonic_missiles_—_Houthi_rebels_also_used
                        the_bot_to_code_ballistic_missile_guidance_systems⠀⇛


                             'Great Satan's' Hey Hi (AI) comes in handy.


                      # ⚓ New York Times ☛ Why_It’s_Difficult_for_Tech
                        Companies_to_Rein_In_A.I.⠀⇛


                             Researchers say artificial intelligence is
                             developing faster than the systems put in
                             place to monitor and control it.


                # § Windows TCO / Windows Bot Nets⠀➾


                      # ⚓ Security Week ☛ BlueMoon_Exploit_Kit_Chains_Recent
                        Chrome,_backdoored_Windows_Zero-Days⠀⇛


                             Multiple espionage-motivated threat actors
                             have adopted BlueMoon in opportunistic,
                             rushed deployments.


          o § Security⠀➾


                # ⚓ Redtail_Malware_Payload:_Technical_Analysis_and_Behavior⠀⇛


                       RedTail is a multi-architecture Linux malware
                       family with capabilities for extensive host
                       profiling and process masquerading. It establishes
                       persistence through crontabs, modifies host
                       firewall rules, and attempts to interfere with
                       monitoring tools by terminating processes such as
                       inotify and strace. The malware also generates
                       network traffic over DNS-over-TLS on TCP port 853
                       to potentially reach remote infrastructure.


          o § Defence/Aggression⠀➾


                # ⚓ France24 ☛ BRICS:_What_is_in_the_joint_statement_from_the
                  11_members?⠀⇛


                       Members of the 11-nation BRICS group including
                       China, Russia, Iran and India called for calm in
                       the Middle East at a summit in New Delhi on
                       Saturday, overcoming earlier divisions to issue a
                       joint statement.


                       Chinese President Pooh-tin Jinping, who joined
                       Russian, Iranian, Indian and other leaders in
                       India's capital, told the summit that the Middle
                       East war "does not serve the common interests of
                       the international community".


                       France 24's Andrew Hilliar tells us more.


                # ⚓ France24 ☛ BRICS_nations_urge_'maximum_restraint'_in_Middle
                  East_war⠀⇛


                       Members of the 11-nation BRICS group including
                       China, Russia, Iran and India called for calm in
                       the Middle East at a summit in New Delhi on
                       Saturday, overcoming earlier divisions to issue a
                       joint statement.


                # ⚓ The Straits Times ☛ North Korea fired_projectile_towards
                  sea,_says_South_Korea⠀⇛


                       The North had also fired a barrage of missiles into
                       the sea on Aug 20.


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


                      # ⚓ JURIST ☛ Recruitment_of_foreign_nationals_in_Russia-
                        Ukraine_War_amounts_to_human_trafficking,_Amnesty
                        International_says⠀⇛


                             Amnesty International on Thursday condemned
                             Russia’s recruitment of foreign nationals
                             from socio-economically disadvantaged
                             countries to fight in Ukraine as human
                             trafficking, stating that they were primarily
                             recruited via deceptive job offers, had their
                             immigration status exploited, and were handed
                             over to Russian military forces by third-
                             party actors. 


                      # ⚓ RFERL ☛ Zelenskyy_Says_Latest_Russian_Missile_And
                        Drone_Attacks_Targeted_Civilian_Sites_Across_Ukraine⠀⇛


                             A fresh round of Russian strikes on Ukraine
                             killed at least three people and wounded
                             dozens of others over the past 24 hours,
                             Ukraine's president said on September 12,
                             adding that the strikes targeted civilian
                             sites and infrastructure across the country.


                      # ⚓ JURIST ☛ UNDP_warns_Russian_drone_attacks_on
                        Chernobyl_endangers_the_health_and_safety_of_millions⠀⇛


                             United Nations Development Program (UNDP)
                             administrator Alexander De Croo on Thursday
                             warned in an interview that frequent drone
                             attacks on the Chernobyl site in Ukraine are
                             “really gambling with the safety of millions
                             of people,” calling for urgent international
                             action to prevent a nuclear catastrophe.


                      # ⚓ Latvia ☛ Is_stolen_grain_from_Ukraine_being_shipped
                        via_Latvia?⠀⇛


                             If the checks reveal that the relevant grains
                             do come from Ukraine, a month will have
                             passed and the specific cargo will have
                             already moved on in transit. However, the PVD
                             will have information about the carrier and
                             the origin of the grains. "This will be a
                             reason for making other decisions in the
                             future at the European Union level,"
                             said Balodis.


                      # ⚓ RFERL ☛ Russian_Strikes_Kill_9_Across_Ukraine,_As
                        Zelenskyy_Offers_To_Meet_Putin_At_Miami_G20⠀⇛


                             Russia continued to pound the Ukrainian
                             civilian population, killing at least nine
                             people in attacks throughout the country,
                             while Ukrainian President Volodymyr Zelenskyy
                             repeated he'd be willing to meet Russia’s
                             Vladimir Putin at the upcoming G20 summit -
                             - something the Kremlin called “impossible.”


                      # ⚓ France24 ☛ Russia's_Putin_arrives_in_India_as_BRICS
                        leaders_begin_talks⠀⇛


                             President Putin arrived as talks among
                             leaders of the BRICS diplomatic bloc began on
                             Friday in India, amid global geopolitical
                             turmoil, including the war in Ukraine and the
                             conflict in the Middle East.


          o § Environment⠀➾


                # ⚓ New York Times ☛ Tracing_the_Path_of_Nepal’s_Flood⠀⇛


                       Mujib Mashal, our South Asia bureau chief, travels
                       to points along a river in Nepal that turned into a
                       deadly torrent, killing more than 1,300 people and
                       leaving over 5,000 more missing as entire, towns
                       bridges and roads were swept away.


                # ⚓ The Straits Times ☛ Children_in_flood-hit_Nepal_grapple
                  with_loss,_cling_to_hope⠀⇛


                       There are more than 500 children separated from
                       their parents.


                # ⚓ The Straits Times ☛ Clearer_skies_return_to_parts_of
                  Malaysia_but_many_remain_cautious⠀⇛


                       For working parents, better air quality means fewer
                       disruptions to their daily routines.


                # § Energy/Transportation⠀➾


                      # ⚓ The Straits Times ☛ Rescuers_searching_for_140_people
                        from_Indonesia_passenger_ship,_official_says⠀⇛


                             103 people had been evacuated using different
                             ships and some of them would be taken to an
                             East Java port.


                      # ⚓ The Straits Times ☛ Philippine_ferry_fire_death_toll
                        jumps_to_76_as_identification_process_begins⠀⇛


                             Thirty passengers and 13 crew members have so
                             far been rescued, while 54 people remain
                             unaccounted for.


                # § Wildlife/Nature⠀➾


                      # ⚓ Science Alert ☛ A_Worrying_New_Trait_Has_Appeared_in
                        an_Isolated_Cat_Species_on_a_Japanese_Island⠀⇛


                             Scientists aren't sure what's behind it.


          o § AstroTurf/Lobbying/Politics⠀➾


                # ⚓ New York Times ☛ Judge_Rules_Homeland_Security_Plan_to_Cut
                  FEMA_Staff_in_Half_Is_Unlawful⠀⇛


                       The judge said the plan would hinder the agency’s
                       ability to respond to disasters.


                # ⚓ New York Times ☛ Republican_Campaign_Aide_Is_Fired_Over
                  Nazi_Photo⠀⇛


                       Senator Jon Husted, running in a high-stakes race
                       in Ohio, dismissed his political director because
                       of social control media activity displaying a
                       “complete lack” of judgment, a spokeswoman said.


                # ⚓ The Straits Times ☛ India_wants_to_buy_fewer_Chinese
                  imports,_but_keeps_needing_more⠀⇛


                       India now buys roughly seven times as much from
                       China as it sells there.


                # ⚓ The Straits Times ☛ India's_Modimir_and_China's_Pooh-tin
                  push_business_links,_border_peace_as_ties_revive⠀⇛


                       India and China's leaders pledged on Saturday to
                       build up business and transport links, New Delhi
                       said, as both rebuild ties badly damaged by a 2020
                       military clash on their disputed Himalayan border.


                # ⚓ The Straits Times ☛ ‘Pacific_drugs_highway’:_Australia’s
                  new_plan_to_target_cocaine_traffickers_moving_through
                  islands⠀⇛


                       Australia’s move could counter China’s influence in
                       the Pacific, but its aim is primarily to prevent
                       “narco-states”.


          o § Censorship/Free Speech⠀➾


                # ⚓ New York Times ☛ How_Convicted_Felon_Is_Wielding_Power_to
                  Stifle_Speech⠀⇛


                       Hell Toupée has harnessed agencies across the
                       government to curtail press freedoms, a sweeping
                       campaign that free speech advocates say will have
                       lasting effects.


          o § Civil Rights / Policing / Accessibility⠀➾


                # ⚓ The Straits Times ☛ South_Korea_approves_jeans_for_civil
                  service_job_interviews_but_says_no_to_ties,_formal_dress
                  shoes⠀⇛


                       Hiking clothes, athletic wear, shorts, sleeveless
                       tops, high heels and slippers are not recommended.


          o § Monopolies/Monopsonies⠀➾


                # § Patents⠀➾


                      # ⚓ Much_Ado_About_Injunctions:_Redux⠀⇛


                             Patent policy debates have raged since 2006
                             when the Supreme Court decided eBay Inc. v.
                             MercExchange, L.L.C., 547 U.S. 388 (2006).


    * Gemini_Links_13/09/2026:_Never_Settling,_Plain_Text_Digital_Life,_and
      Newsgroups
    * General_Assembly_Covers_EPO_Strikes_on_Thursday,_September_17th_(2026)



                    ䷩ 𝚕𝚒𝚗𝚎 6645

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Links 13/09/2026: Scam Altman Admits Issues
(Financial), Rival Says Stop Slop (Plagiarism)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█
⌧


posted by Roy Schestowitz on Sep 13, 2026


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


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * Leftovers
          o Science_/_Mathematics_/_Computer_Science
          o Proprietary_/_Vendor_Lock-in_/_Malware
          o Security
                # Privacy/Surveillance
                # Confidentiality
          o Defence/Aggression
          o Environment
                # Energy/Transportation
                # Wildlife/Nature
          o Finance
          o AstroTurf/Lobbying/Politics
          o Censorship/Free_Speech
          o Civil_Rights_/_Policing_/_Accessibility
          o Internet_Policy/Net_Neutrality
          o Monopolies/Monopsonies
                # Patents
                      # Kangaroo_Courts
                # Trademarks
                      # Right_of_Publicity
                # Copyrights
    * § Leftovers⠀➾


          o § Science / Mathematics / Computer Science⠀➾


                # ⚓ The Conversation ☛ 2026-09-09_[Older]_How_‘positive’_stress
                  could_improve_the_welfare_of_zoo_animals⠀⇛


                # ⚓ The Conversation ☛ 2026-09-08_[Older]_How_studying
                  astronauts_could_help_tackle_ageing_on_Earth⠀⇛


                # ⚓ The Conversation ☛ 2026-09-08_[Older]_Why_should_we_care_if
                  there_aren’t_any_squished_insects_on_our_windscreens?⠀⇛


                # ⚓ The Conversation ☛ 2026-09-07_[Older]_How_beavers_can_help
                  create_fire_breaks_as_part_of_a_drought_preparation_plan⠀⇛


                # ⚓ The Conversation ☛ 2026-09-07_[Older]_How_the_‘first_bird’
                  leapt_into_the_sky_and_soared_above_the_dinosaurs⠀⇛


                # ⚓ The Conversation ☛ 2026-09-04_[Older]_Science_uncovers_how
                  the_brain_interprets_artistic_beauty⠀⇛


                # ⚓ The Conversation ☛ 2026-09-03_[Older]_My_unsung_hero_of
                  science:_Harriet_Taylor_Mill,_the_radical_feminist
                  philosopher_who_lived_in_the_shadow_of_her_husband⠀⇛


          o § Proprietary / Vendor Lock-in / Malware⠀➾


                # ⚓ CBC ☛ AI-driven_'worms'_that_learn_on_the_fly_are_the
                  latest_potential_threat_to_your_devices,_researchers_say⠀⇛


                       Cheap to make, worms exploit software and password
                       vulnerabilities and sap power as they move between
                       machines


                # ⚓ Chris Amico ☛ Who_owns_my_stack?⠀⇛


                       From there, it gets more complicated.


                       I’m typing this post into VS Code, which Microsoft
                       built. Microsoft also owns Github, where I host the
                       code and the published site, via Github Pages.


                       And while this site has no javascript, almost
                       everything else I build does, and Microsoft also
                       owns a large chunk of that stack, specifically npm,
                       through Github, and TypeScript.


                # ⚓ Techdirt ☛ Apple,_Google_Pathetically_Buckle_To_Trump’s_Dim
                  And_Lazy_Effort_To_Rename_Lake_Ontario⠀⇛


                       When we look back at this time and history words
                       like “courage,” “integrity,” and “ethics” aren’t
                       words you’re going to be associating with U.S. tech
                       industry leadership. Everywhere you look you have
                       tech sector executives either openly embracing
                       fascism and the frontal assault on representative
                       democracy, or too feckless and timid to take any
                       sort of coherent stand on literally anything (and
                       then wondering why the plebs are increasingly
                       hostile to their software products).


                # ⚓ Kyle Reddoch ☛ Security_Signal_Weekly:_September_5-11,
                  2026⠀⇛


                       The rest of the list is a reminder that high-trust
                       infrastructure deserves the same attention even
                       when exploitation has not been reported. Check
                       Point VPN gateways, cPanel hosts, SAP systems, and
                       GoAnywhere MFT all received consequential fixes.
                       AdaptHealth’s breach update and the federal AI-
                       distillation advisory then bring the week back to
                       identity and monitoring: trusted sessions and
                       legitimate API access can still be the path an
                       attacker uses.


                # § So-Called 'Artificial Intelligence' ('AI') / LLM Slop /
                  Plagiarism⠀➾


                      # ⚓ The Atlantic ☛ Dario_Amodei:_‘We_Owe_It_to_Humanity’
                        to_Slow_Down_AI⠀⇛


                             By now, we’ve all become accustomed to AI
                             industry figures issuing dire prophecies
                             about the power of their products. Yet
                             Amodei’s essay stands out for its urgency and
                             for the moment at which it arrived. Worries
                             about AI agents running amok have gone from
                             hypothetical to real after OpenAI, Anthropic,
                             and others reported alarming incidents in
                             recent weeks. The question now is whether
                             Amodei’s warning will have any more impact
                             than past warnings, which is to say, any at
                             all. There are reasons to believe it could.


                      # ⚓ Alcides Fonseca ☛ Stack-based_Genetic_Programming_is
                        slow⠀⇛


                             For those who are not aware, Genetic
                             Algorithms are a family of evolutionary
                             algorithms that use a linear representation,
                             typically an array of integers, encoding a
                             solution. My hello world is the knapsack
                             problem, when you are trying to find the
                             combination of items that maximizes the value
                             of the combination while keeping the total
                             weight of the selected objects. In Genetic
                             Programming, you can represent each
                             combination as an array ([True, False, ...,
                             False]). The algorithm creates a population
                             of combinations and assesses their quality
                             (e.g., -weight if it's overweight and value
                             if not). Genetic Algorithms create a new
                             generation of the population by selecting
                             individuals with a probability proportional
                             to their fitness (quality). First, two
                             parents are selected, and (with a random
                             crossover point), the first half is copied
                             from parent 1 and the second half from parent
                             2. Then there is a chance that a mutation
                             occurs, and a random position is switched.


                      # ⚓ Pivot to AI ☛ AGI_Benchmarks:_Eugenic_Origins_—_by
                        Valerie_Veatch⠀⇛


                             It should be noted that even as companies
                             shift their language around “AGI” or “super-
                             intelligence” the goal remains steadfast:
                             create intelligence that reaches or exceeds
                             human intelligence.


                             Before we continue it’s useful to examine how
                             each of these major players define AGI today
                             and how they frame the achievement of AGI.


                      # ⚓ Armin Ronacher ☛ P(doom)_|_Armin_Ronacher's_Thoughts
                        and_Writings⠀⇛


                             What I really appreciate about Dario’s post
                             is that he lays out a scenario that is not a
                             huge stretch but also one that describes a
                             clear, unfortunate outcome we should fight:
                             persistent botnets and other forms of
                             nuisance. And well, we don’t have to look
                             very far to see the issues left and right.
                             Wikipedia has a page called 2026 OpenAI agent
                             cyberattacks which gives you at least some
                             overview of what we figured out agents have
                             hacked up to this point. Except I know it’s
                             not up to date, because for instance they
                             also poisoned RubyGems.


                             Today these systems might be annoying, but
                             they can be turned off when we figure out
                             where they are. Except, it seems like OpenAI
                             and Anthropic are operating at such a scale
                             that they seemingly can be completely blind
                             to what their systems are doing.


                      # ⚓ CoryDoctorow ☛ Pluralistic:_LLMs_are_real,_AI_is_fake
                        (12_Sep_2026)⠀⇛


                             Given that AI insiders have mostly cooked
                             their brains in this fashion, it behooves us
                             all to treat these people as unreliable
                             narrators of their own products'
                             capabilities. Remember: every time you repeat
                             a story about how awfully, terribly dangerous
                             their products are, you help them raise more
                             investment capital, which is a key input for
                             their business (hooking up statistical
                             engines to money-furnaces): [...]


                      # ⚓ Sean Goedecke ☛ AI_is_breaking_our_proxies_for
                        expertise⠀⇛


                             A lot of people online have interpreted this
                             as the expected complaint from any field that
                             gets automated: translators did it, artists
                             and programmers have been doing it, and now
                             it’s the turn of the mathematicians. I think
                             this is too dismissive. Understanding the
                             concrete problem mathematicians are upset
                             about can help us better understand the
                             impact of AI on our own fields, and what
                             we’ll have to do about it.


                      # ⚓ Jürgen Geuter ☛ Rediscovering_The_Spark⠀⇛


                             Think about a person who works on developing
                             chemicals basically saying: “Yeah we’re just
                             throwing random stuff together. There’s at
                             least a 10% chance that – since we don’t
                             really do any security – we might poison
                             everyone, but please give me all the money
                             you had planned to give to hospitals.
                             KTHXBYE.” The world we currently live in is
                             the one where we respond with “Sure Mr.
                             Altman. Here’s also all the money we wanted
                             to spend on schools.”


                             That is not a world we should want to be in.
                             Should allow anyone to keep us in. And
                             opening a portal to a better world sounds
                             hard, but the walls between potential worlds
                             are basically just in our heads. We just need
                             to start by breaking the chokehold tech has
                             on the discourse. The spark is still there in
                             each and every one of us.


                      # ⚓ The Verge ☛ Scam_Altman_says_OpenAI_going_public_in
                        2026_would_be_‘ill-advised’⠀⇛


                             He also said that it was ‘absolutely’
                             possible to build an AI beyond human control.


                      # ⚓ Wired ☛ Why_So_Many_AI_Researchers_Think_the_Machines
                        Could_Kill_Everyone⠀⇛


                             A combination of rapid advances, recursive
                             self-improvement, and agentic swarms are
                             genuinely “spooking people” inside big labs.


                      # ⚓ Tom's Hardware ☛ Engineer_turns_simulated_fly_brain
                        into_a_crypto_day_trader,_posts_downloadable_sim_to
                        GitHub_—_166,700_virtual_neurons_read_candlestick
                        charts_for_dopamine_hits⠀⇛


                             The open-source project has a simulation of a
                             male fruit fly brain and eyes, and shows it a
                             standard-issue candlestick graph with
                             historical pricing. The fly can choose to
                             buy, sell, or hold any given currency —
                             although they get shown to the fly in round-
                             robin fashion — and gets rewarded for
                             profitable trading.


                      # ⚓ Dark Reading ☛ Why_AI_Is_So_Good_at_Scamming_Humans⠀⇛


                             If there's one thing that AI models are
                             remarkably good at, it's manipulation.


                             That's according to security researcher Fred
                             Heiding, who spoke with Dark Reading's senior
                             news director, Rob Wright, at the Dark
                             Reading News Desk at Black Hat USA 2026 last
                             month. Heiding, executive director at Menlo
                             Park Intelligence, and former US National
                             Cyber Director Chris Inglis, spoke at the
                             conference about their research on AI
                             security.


                             One of the trends they discussed was how AI
                             enhances cybercriminals' social engineering
                             attacks and scams, which cost US citizens
                             nearly $21 billion last year, according to
                             the FBI's IC3 Report. But Heiding also
                             highlighted how AI technology itself has
                             shown how very effective it is at influencing
                             humans.


                      # ⚓ Interesting Engineering ☛ US_Marines_secure_$7.3
                        million_contract_for_ground_robots⠀⇛


                             They incorporate the company’s autonomous
                             driving technology and lessons gathered
                             through more than four years of work with the
                             Marine Corps.


                      # ⚓ Terence Tao ☛ On_the_existence_of_non-sofic_groups_|
                        What's_new⠀⇛


                             However, after reading up on the controversy
                             around the Buckmaster–Alpöge case, the whole
                             story came back to me and I realized that the
                             answer I received from OpenAI was misleading,
                             to say the least. I already wrote about this
                             briefly on Mathstodon.


                             I had explicitly asked about two different
                             things: (1) whether our conversations entered
                             training data, and (2) whether they were
                             accessible to the solving process. OpenAI
                             said in the Buckmaster–Alpöge case that no
                             specific user data was accessed, but added
                             that it “cannot rule out that de-identified
                             data derived from their usage of our products
                             helped improve our models.” In light of
                             OpenAI’s later wording, I cannot tell whether
                             Sellke’s answer denied both possibilities or
                             only direct access under (2). No
                             qualification, explanation, or evidence was
                             given. Whatever its intent, I regard the
                             answer as materially misleading.


                      # ⚓ India Times ☛ Shoma_Chaudhury_on_why_technology_needs
                        conscience,_not_just_innovation⠀⇛


                             Governments, institutions and societies from
                             Washington to Beijing to New Delhi are
                             grappling with the same unresolved questions.
                             Who is accountable when machines make
                             decisions, what happens to human agency, how
                             should power be regulated, and what does it
                             mean to be human as the line between human
                             and machine intelligence blurs.


                # § Social Control Media⠀➾


                      # ⚓ India Times ☛ Texas_judge_rules_TikTok_misled_users
                        on_child_safety_feature⠀⇛


                             A Texas judge ruled on Thursday that TikTok
                             violated the state's consumer protection law
                             by misleading users about how it filtered
                             content for minors and whether its
                             "Restricted Mode" feature shielded children
                             from inappropriate material.


                      # ⚓ India Times ☛ California_governor_signs_law_to_limit
                        children's_social_media_risks⠀⇛


                             "This is about the features themselves. This
                             is about actually addressing the problem, the
                             scrolling, the algorithms. This is about
                             addressing the substantive issue around the
                             engineering. If you address that, then the
                             age issue is not the essential issue," he
                             continued.


                      # ⚓ India Times ☛ California_governor_social_media_laws:
                        California_governor_signs_laws_aimed_at_protecting_kids
                        from_risks_of_social_media,_AI_chatbots⠀⇛


                             The laws will penalize large social media
                             companies up to $1 million per child if they
                             are found negligent of harming children
                             through their platforms, ban tech businesses
                             from offering addictive feeds to anyone under
                             16 and require operators of AI chatbots to
                             perform risk assessments before rolling them
                             out.


                      # ⚓ Jacky Alciné ☛ Sharding_my_Online_Identity⠀⇛


                             I slightly loathe that in order to remain
                             with a professional identity online, the best
                             option is to have separate accounts. I'll
                             eventually delete the announcement post I
                             made - to help folks know that it's actually
                             me but my subdomain should be enough for
                             verification for most. We'll see how this
                             little experiment goes.


          o § Security⠀➾


                # § Privacy/Surveillance⠀➾


                      # ⚓ Kevin Boone ☛ Why_are_modern_televisions_so_cheap?⠀⇛


                             I’ve never owned a regular television, so
                             it’s no surprise that I’m out of touch with
                             pricing. Still, it seemed obvious to me that
                             such large, complex, feature-rich appliances
                             couldn’t be that cheap without some kind of
                             angle. So I investigated.


                             Maybe I’m the last person on Earth to realize
                             this, but:


                             Modern televisions are surveillance devices.


                      # ⚓ The Record ☛ Florida_says_motor_vehicle_data_breach
                        tied_to_credentials_stolen_from_officer’s_personal
                        device⠀⇛


                             When the claims of the breach initially
                             emerged, some cybersecurity experts believed
                             it was tied to the recently confirmed breach
                             involving the 153 million driver’s licenses
                             leaked by identity verification firm IDScan.
                             ShinyHunters had previously asked to purchase
                             the ID database from the hackers behind the
                             IDScan breach.


                # § Confidentiality⠀➾


                      # ⚓ CCC ☛ The_gpg.fail_aftermath:_On_responsible
                        disclosure,_GPG,_and_the_state_of_security_in_2026_-
                        media.ccc.de⠀⇛


                             In 2025, I found and disclosed a bunch of
                             vulnerabilities in GPG, the most used PGP
                             implementation, and held a talk at 39c3 about
                             it. **Some** of the bugs ended up getting
                             fixed. This talk describes the adventure and
                             aftermath of getting there, shows some novel
                             ones, and talks about the state of security
                             in 2026. May contain zero-days =)


                             Until May 2025, I liked PGP, and the GNU
                             Privacy Guard. I poked at it in my free time
                             a lot. One day, that suddenly changed, when I
                             flew too close to the sun and ended up
                             uncovering a vulnerability that allows you to
                             easily spoof a PGP signature when opened
                             naively with the GPG tool.


                             Fast-forward a couple of months, the one
                             vulnerability turned into several independent
                             ones, up to memory corruption in the basic
                             PGP message parser, affecting almost all PGP-
                             related workflows.


          o § Defence/Aggression⠀➾


                # ⚓ Insight Hungary ☛ Hungary_expels_ten_Russian_diplomats_over
                  espionage_concerns⠀⇛


                       Allegations of Russian interference in Hungary
                       peaked before April’s election, with Hungarian
                       media reporting that Russia’s embassy in Budapest
                       was involved in espionage, disinformation and
                       efforts to support Viktor Orbán’s Fidesz
                       party.Orbán, who campaigned against Ukrainian
                       president Volodymyr Zelenskyy and pledged to
                       maintain low energy prices through Russian
                       supplies, was defeated by PM Péter Magyar’s Tisza
                       party, which formed the government in May. On
                       election night, thousands of young people
                       celebrated in Budapest, chanting “Russians go
                       home”, a slogan associated with the 1956 anti-
                       Communist uprising.


                # ⚓ The Walrus ☛ I_Was_a_CSIS_Analyst_When_9/11_Happened.
                  Here’s_What_I’ve_Learned⠀⇛


                       Over the ensuing twenty-five years, both on the
                       “inside” and the “outside,” I made it my goal to
                       understand Islamist terrorism—its history,
                       ideology, main players, and designs—and to help my
                       colleagues identify individuals and groups within
                       this broader movement who meant to do harm here and
                       elsewhere. My career gave me access to sensitive
                       intelligence on terrorist operations in Canada and
                       abroad and the time and space to fully develop a
                       deep knowledge of where this phenomenon had come
                       from and where it was headed. I had access to
                       SIGINT (signals intelligence), HUMINT (human source
                       intelligence), and other pieces of information that
                       informed me then and still do to this day. Our
                       collective job, with the help of our allies within
                       the so-called Five Eyes network and beyond, was
                       simple: do everything possible to stop another 9/
                       11. In that, we succeeded, although this should not
                       be seen as a claim that we prevented all terrorist
                       attacks, especially those at the hands of jihadis.


                       To me, the most important takeaway is that, despite
                       claims to the contrary by those who profess to be
                       “terrorism experts,” jihadism is showing no signs
                       of slowing down. True, major figures, such as al-
                       Qaeda leaders Osama bin Laden and Ayman al-Zawahiri
                       and the head of Islamic State (ISIS) Abu Bakr al
                       Baghdadi, are dead, as are tens of thousands of
                       other jihadis around the globe, but the death toll
                       in attacks in dozens of countries is still
                       alarmingly high. Not a day goes by without at least
                       one act of terrorism, and usually more than one,
                       resulting in deaths and injuries; most of these
                       incidents are perpetrated by jihadis (and not by
                       those beholden to other types of terrorist
                       ideology). Claims of counterterrorism successes are
                       often hollow.


                # ⚓ New Republic ☛ USPS_Tries_Rejecting_Entire_County’s_Ballot
                  Over_Spacing_Issue⠀⇛


                       Leon County, Florida’s mail ballot envelope design
                       placed the words “return service requested” 0.236
                       inches away from its election office’s return
                       address, when it was supposed to be a quarter-inch,
                       leading the USPS to reject it on September 2, the
                       Tallahassee Democrat reports. The county’s
                       supervisor of elections, Mark Earley, called it
                       “ridiculous.”


                # ⚓ Marcy Wheeler ☛ We_Do_Not_Swear_Unconditional_Obedience⠀⇛


                       I physically shuddered as Trump began that pledge,
                       because it reminded me so much of another pledge to
                       another ruler. The photo below shows the pledge, as
                       it appears in the Evangelisches Feldgesangbuch, the
                       protestant field hymnal for the German Wehrmacht.
                       The same pledge appears in the Katolisches
                       Feldgesangbuch, which was the Roman Catholic
                       military hymnal.


                # ⚓ Mark-Jason Dominus ☛ George_Orwell's_essay_on_the_atomic
                  bomb_anticipates_Nineteen_Eighty-Four⠀⇛


                       Orwell's initial focus is:


                       "The question that is of most urgent interest to
                       all of us, namely: “How difficult are these things
                       to manufacture?”"


          o § Environment⠀➾


                # ⚓ Nashville Public Radio ☛ Volkswagen_‘dieselgate’_payout
                  continues_to_fund_EV_charging_in_Tennessee⠀⇛


                       The Tennessee Department of Environment and
                       Conservation set up the new rebate program with
                       funding from the automaker Volkswagen, as part of a
                       decade-old settlement.


                # ⚓ Mississippi Journalism and Education Group ☛ As_Data
                  Centers_Expand,_Advocates_Call_for_Regulations_on_Lights⠀⇛


                       Gokhale is a physics professor at Truman State
                       University and a board member for DarkSky
                       Missouri—the state chapter for an international
                       non-profit aimed at reducing artificial lighting at
                       night. The broader organization has taken a similar
                       stance.


                       Gokhale acknowledges that his cause might not be
                       the first or second priority for most communities.
                       It might not even be third, he said. Yet, he argues
                       that it may be the easiest of environmental
                       problems to solve.


                # ⚓ Omicron Limited ☛ Microplastics_fall_across_rural
                  Switzerland,_adding_over_200_tons_yearly_to_land_and_water⠀⇛


                       At the urban site in Zurich, they found an average
                       deposition of 881 particles per square meter per
                       day. At the other sites, the values—ranging from
                       249 to 331 particles per square meter per day—were
                       significantly lower and relatively similar.


                # ⚓ The Verge ☛ Trump_is_giving_data_centers_a_pass_to
                  pollute⠀⇛


                       “You would think that an industry buildout of this
                       magnitude, billed as a revolution, would mean more
                       vigilance from EPA,” Lynn Goldman, a pediatrician
                       and a former EPA assistant administrator, said at
                       the briefing. “Instead, EPA is doing just the
                       opposite, thinking first about industry’s needs and
                       weakening or reconsidering limits on toxic
                       chemicals and harmful pollutants.”


                # § Energy/Transportation⠀➾


                      # ⚓ International Business Times ☛ 2026-09-10_[Older]
                        Amazon_Jet_Crash_Victim's_Wife_Learned_of_Husband's
                        Death_Online_After_Her_Texts_Went_Unanswered⠀⇛


                      # ⚓ International Business Times ☛ 2026-09-07_[Older]
                        Amazon_Plane_Crash:_At_Least_Five_People_Killed_After
                        Amazon_Cargo_Craft_Overruns_Runway_and_Smashes_Into
                        Cars⠀⇛


                      # ⚓ CBC ☛ 2026-09-06_[Older]_Investigators_have_recovered
                        voice_and_data_recorders_from_Amazon_plane_crash_at
                        Miami_airport⠀⇛


                      # ⚓ CBC ☛ 2026-09-06_[Older]_At_least_5_dead_after_Amazon
                        cargo_plane_barrels_off_Miami_runway_and_smashes_into
                        cars:_authorities⠀⇛


                # § Wildlife/Nature⠀➾


                      # ⚓ Los Angeles Times ☛ Scientists_deliberately_infect
                        6,000_American_elms_in_hopes_of_rescuing_them⠀⇛


                             The survivors will be sent to a breeding
                             program with a goal of growing the genetic
                             diversity of disease-tolerant elm trees. They
                             will one day be used for restoration in
                             forests, riverbanks and backyards.


          o § Finance⠀➾


                # ⚓ Truthdig ☛ 2026-09-03_[Older]_Amazon_to_Walmart:_The_Worst
                  of_the_‘Low-Wage_100’⠀⇛


                # ⚓ Perl ☛ HeroDevs_Donates_$10,000_to_The_Perl_and_Raku
                  Foundation⠀⇛


                       The Perl and Raku Foundation is delighted to
                       announce that HeroDevs has donated $10,000 to
                       support our work. We’re grateful for their
                       generosity — gifts like this go directly toward the
                       people and infrastructure that keep Perl and CPAN
                       healthy.


                # ⚓ Laurie Voss ☛ Nobody_pays_for_open_source._We_can_force
                  them_to.⠀⇛


                       Sixty percent of open source maintainers are not
                       paid for the work. That's from Tidelift's 2024
                       survey, and it's the same number they got in 2023,
                       and the same number they got in 2021. Of the unpaid
                       ones, 61% work alone. Nearly 60% of all maintainers
                       have quit or thought about quitting, and the
                       reasons they give are the ones you'd guess: they
                       have a life, they lost interest, they burned out.


          o § AstroTurf/Lobbying/Politics⠀➾


                # ⚓ The Atlantic ☛ AI_Is_Running_Laps_Around_Our_Political
                  System⠀⇛


                       Instead, technological advances and grassroots
                       sentiment have been moving faster than politicians
                       have been willing to act. Now some seem to be
                       waking up. Senator Ted Cruz of Texas, a Republican,
                       said last Wednesday that he will soon unveil
                       legislation, alongside Democratic Senator Amy
                       Klobuchar of Minnesota and Senate Majority Leader
                       John Thune of South Dakota, intended to head off
                       AI-induced biological or nuclear catastrophes.
                       Representative Josh Gottheimer of New Jersey, a
                       Democrat, and Representative Mike Lawler of New
                       York, a Republican, teamed up earlier this month to
                       introduce legislation that would direct the federal
                       government to create standards for securely
                       deploying AI agents and preventing them from going
                       rogue. Several lawmakers have called for Congress
                       to reconvene specifically for the purpose of
                       addressing the threats posed by AI. Yesterday,
                       Representative Ro Khanna, who represents part of
                       Silicon Valley, called for the creation of an AI
                       safety agency.


                # ⚓ Techdirt ☛ Since_9/11,_Fear_Has_Driven_Our_Politics._Don’t
                  Let_It_Drive_The_Next_25_Years.⠀⇛


                       I’m guessing there aren’t many Techdirt readers
                       from back then still reading today, but after a few
                       hours of staring blankly at the TV — scared by what
                       had happened and already uneasy about what the
                       world would do in response — I put up a post saying
                       that I had nothing else to say and wouldn’t be
                       posting (other than to link to some resources). The
                       next day, I was already expressing concern about
                       how the world would respond, and calling out the
                       people rushing to play the blame game. I pointed to
                       a quote from a New Yorker saying “we aren’t in a
                       state of war, we’re in a state of mourning.” But it
                       wasn’t difficult to see where things were heading.
                       Late that night I warned (in a poorly written,
                       rambling post) about how people blindly reacting
                       via ignorance was going to lead to bad outcomes,
                       and how mass surveillance of the internet was
                       likely coming.


                # ⚓ New Republic ☛ Someone_Should_Maybe_Do_Something_About_the
                  AI_Apocalypse,_Right?⠀⇛


                       Cool, cool, cool. If I could offer my hot take,
                       maybe someone should do something to, you know,
                       stop this? Unfortunately, there is a series of
                       related problems that impede the easy fix. For
                       starters, our political system is awash in tens of
                       millions of dollars spent by the AI industry. AI is
                       not popular with the general public, but it is very
                       popular among the few who expect to get, or already
                       are getting, insanely wealthy from it—and they have
                       all burned through small fortunes of sunk cost in
                       this arms race, where everyone is trying to build
                       the best (read: most destructive) AI model they can
                       before someone else does. And the industry actually
                       makes a habit of regularly informing people that
                       this tech could kill us all, because when they do,
                       it excites investors.


                # ⚓ The Nation ☛ James_Talarico’s_Leap_of_Faith⠀⇛


                       Talarico is not trying to persuade Texans to stop
                       being religious. He is not asking them to
                       compartmentalize their religious beliefs. He does
                       not want them to keep their faith under a
                       bushel—and neither will he. He is instead trying to
                       persuade them that their own Christianity points
                       toward different political conclusions than those
                       championed by politicians and preachers on the
                       right.


                # ⚓ Robert Reich ☛ President_AOC?⠀⇛


                       Ever since Franklin D. Roosevelt pushed for Social
                       Security, Republicans have used “socialism” to
                       scare Americans away from doing anything big that
                       we need done.


                # ⚓ Robert Reich ☛ Isn’t_a_10_percent_threat_of_extinction_too
                  high?⠀⇛


                       I was astounded that he was so complacent about a
                       technology he believed had a 10 percent chance of
                       ending human life. If humanity were acting sanely,
                       we would not accept this risk. At the very least,
                       we’d demand that those working on AI pause their
                       work until we know more and can erect guardrails to
                       protect humanity against this.


                       Why aren’t we? Because of greed and national
                       security.


                       Both Anthropic and OpenAI are readying to go public
                       in deals that could value the companies in the
                       trillions based on the current and future
                       capabilities of their models. This will immediately
                       create many AI billionaires and millionaires, and
                       it follows a similar IPO from SpaceX, and a likely
                       future IPO for OpenAI.


                # ⚓ The Register UK ☛ Microsoft_annoints_Rust_as_a_'Tier_1'
                  internal_language⠀⇛


                       When Microsoft's developers and engineers sit down
                       to code, they can now choose to work in Rust, which
                       Redmond has added to its list of canonical
                       languages.


                # § Misinformation/Disinformation/Propaganda⠀➾


                      # ⚓ Salon ☛ Kids_are_back_in_classrooms._Health
                        misinformation_could_shape_the_school_year⠀⇛


                             “There’s just so much misinformation about
                             [vaccines] out there, that it slows
                             everything down and people wait longer,” she
                             said. “And when influenza or COVID hits your
                             community, or RSV or pertussis, it might be
                             too late.”


          o § Censorship/Free Speech⠀➾


                # ⚓ Hong Kong Free Press ☛ Relatives,_friends_of_jailed
                  Tiananmen_trio_decry_'unjust'_sentences⠀⇛


                       Relatives of three Tiananmen vigil activists
                       sentenced on Friday for inciting subversion have
                       decried their years-long prison terms as “totally
                       unjust,” and have said that two of the defendants
                       will appeal.


                # ⚓ Hong Kong Free Press ☛ HK_Tiananmen_vigil_activists
                  sentenced_up_to_7_years_3_months_for_inciting_subversion⠀⇛


                       The Tiananmen crackdown occurred on June 4, 1989,
                       ending months of student-led demonstrations in
                       China. It is estimated that hundreds, perhaps
                       thousands, died when the People’s Liberation Army
                       cracked down on protesters in Beijing.


                       The group held the mass candlelit vigils until the
                       event was banned in 2020, with the government
                       citing pandemic curbs, and again the following
                       year. They voted to disband in September 2021.


                # ⚓ Hindustan Times ☛ PJ_Conner:_Man_accused_of_mocking_Charlie
                  Kirk_on_social_media;_what_we_know⠀⇛


                       The Pentagon has policies governing service
                       members' conduct, including on social media, and
                       disciplinary action may be taken when conduct is
                       found to violate military regulations. However,
                       whether those policies apply in this case would
                       depend on the authenticity of the posts and any
                       official investigation.


          o § Civil Rights / Policing / Accessibility⠀➾


                # ⚓ Futurism ☛ Support_for_Unions_Is_Spiking_as_AI_Threatens
                  Jobs⠀⇛


                       According to a new survey by polling firm Gallup, a
                       full 47 percent of Americans now say they want
                       unions to have more influence than they do today.
                       That’s up from 43 percent in 2023 and a dismal 25
                       percent in 2009 — setting, per Gallup, a new record
                       for the 21st century.


                # ⚓ Techdirt ☛ DHS_Claimed_It_Had_Found_16,000_Illegal_Voters
                  In_Nevada._Now_It’s_Admitting_It’s_Less_Than_200.⠀⇛


                       It doesn’t matter whether or not anyone believes
                       Trump or his enablers. All that matters is that
                       Trump believes it. And if he does then a whole lot
                       of his voting base will be willing to do anything
                       from raid the Capitol building in DC to ask ICE to
                       engage in voter suppression this November.


                # ⚓ CS Monitor ☛ Harry_Belafonte_sang_out_for_equality_and
                  justice⠀⇛


                       The armed forces were racially segregated then, and
                       Jelly-Schapiro notes that Belafonte’s time among
                       Black seamen “supplied him, as a high school
                       dropout who became a proud autodidact, with his
                       essential political education.” His fellow service
                       members introduced him to the work of W.E.B. Du
                       Bois and other Black intellectuals.


                # ⚓ Wired ☛ You_Don’t_Have_a_Right_to_Safe_Drinking_Water,
                  Trump-Appointed_Judge_Rules⠀⇛


                       That may be true in Mississippi—but on the state
                       level in at least nine US states, and in more than
                       a dozen other countries, clean drinking water is in
                       fact a protected right. In countries including
                       Uruguay and South Africa, a right to clean water is
                       enshrined in the constitution. New York’s state
                       constitution, as of a 2021 amendment, states that
                       “each person shall have a right to clean air and
                       water, and a healthful environment.” So too in
                       Massachusetts, where “the right to clean air and
                       water” has been constitutionally protected since
                       1972.


                # ⚓ University of Michigan ☛ UMich’s_data_center_has_a_similar
                  playbook_as_OpenAI’s⠀⇛


                       The anger Michiganders are feeling is
                       understandable. When I drove by the Saline Township
                       data center, I felt it myself. It was just a few
                       weeks after OpenAI CEO Sam Altman, Whitmer and a
                       cabinet of upper-level AI executives posed together
                       and broke ground on the project. The development’s
                       doting nickname, “The Barn,” flashed mockingly on a
                       temporary road sign.


          o § Internet Policy/Net Neutrality⠀➾


                # ⚓ The Moscow Times ☛ Russia_Launches_First_5G_Networks_After
                  Years_of_Delays⠀⇛


                       In Russia, the roll-out of 5G has been complicated
                       by the fact that the military and security services
                       have maintained exclusive control of the 3.4-3.8
                       GHz frequency range used for 5G internationally.
                       Telecoms providers have unsuccessfully fought for
                       access to that frequency range.


          o § Monopolies/Monopsonies⠀➾


                # § Patents⠀➾


                      # § Kangaroo Courts⠀➾


                            # ⚓ IP Kat ☛ 2026-09-08_[Older]_G1/25:_What_are_the
                              consequences?⠀⇛


                # § Trademarks⠀➾


                      # § Right of Publicity⠀➾


                            # ⚓ The Guardian UK ☛ Deepfakes_are_wrecking
                              influencers’_credibility,_one_fake_ad_at_a_time⠀⇛


                                   The ad was based on a digitally altered
                                   version of a selfie Schuman had taken
                                   in her car and posted on Instagram
                                   years earlier. Once her followers got
                                   wind, they flooded her inbox with
                                   questions about the sponsorship as it
                                   didn’t seem consistent with Schuman’s
                                   personal brand. Soon after, Schuman
                                   discovered this was just the beginning.
                                   There was also an Instagram post where
                                   an AI version of her with darker hair
                                   appears to apply foundation to promote
                                   a makeup brand called Meroda Cosmetics,
                                   and TikTok posts with generated images
                                   of her promoting the blood testing
                                   company Superpower.


                                   “It’s so violating,” she said. The
                                   videos and images look “just like me,
                                   but the upside down version”.


                # § Copyrights⠀➾


                      # ⚓ CoryDoctorow ☛ Pluralistic:_Inefficiency_is_bad,
                        actually_(11_Sep_2026)⠀⇛


                             The most reliable way to lose a political
                             battle is to let your adversary define the
                             terms. For example, if you're an artist and
                             you let your boss define the fight over AI,
                             he'll make it all about "IP" [sic] (not
                             labor) and ask you to help secure a victory
                             that will make him richer and you poorer:
                             [...]


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Image source: We_Love_Our_Children_and_Pets


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    * Windows_Down_to_New_Lows_as_Switzerland's_Federal_Government_Abandons
      Microsoft_(Where_Feasible_for_Now)
    * Gemini_Links_13/09/2026:_Why_Omarchy_is_"Plain_Disgusting"_and_"AI_Slop"
      and_Why_"Plain_Text_To_Do_List"_Rocks


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