𝕿𝖊𝖈𝖍𝖗𝖎𝖌𝖍𝖙𝖘 Bulletin for Tuesday, March 12, 2024
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Generated Wed 13 Mar 02:49:21 GMT 2024
Created by Dr. Roy Schestowitz (𝚛𝚘𝚢 (at) 𝚜𝚌𝚑𝚎𝚜𝚝𝚘𝚠𝚒𝚝𝚣 (dot) 𝚌𝚘𝚖)
Full hyperlinks for navigation omitted but are fully available in the originals
The corresponding HTML versions are at 𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈
Latest in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒕𝒙𝒕 and older bulletins can be found at 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒕𝒙𝒕-𝒂𝒓𝒄𝒉𝒊𝒗𝒆𝒔
Full IPFS index in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒊𝒑𝒇𝒔 and as plain text in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒊𝒑𝒇𝒔/𝒕𝒙𝒕
Gemini index for the day: gemini://gemini.techrights.org/2024/03/12/


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

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


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

⦿ Techrights  -  Android is Now Close to Controlling Half of Internet/Web-Connected Devices, Based on This Survey

⦿ Techrights  -  GNU/Linux at 4.26% Now, 5% by Springtime (as Measured by statCounter)?

⦿ Techrights  -  IRC Proceedings: Monday, March 11, 2024

⦿ Techrights  -  [Meme] Failure to Dismantle the Staff Union at the EPO

⦿ Techrights  -  Over at Tux Machines...

⦿ Techrights  -  Prof Nils Melzer, Cybertorture & Debian Open Source vendettas

⦿ Techrights  -  Richard Rothwell suicide: Coroner report

⦿ Techrights  -  Union for Staff of the EPO Has New Headquarters in Rijswijk (NL)

 ䷼ Bulletin articles (as HTML) to comment on (requires login):
https://news.techrights.org/n/2024/03/12/Android_is_Now_Close_to_Controlling_Half_of_Internet_Web_Connec.shtml
https://news.techrights.org/n/2024/03/12/GNU_Linux_at_4_26_Now_5_by_Springtime_as_Measured_by_statCounte.shtml
https://news.techrights.org/n/2024/03/12/IRC_Proceedings_Monday_March_11_2024.shtml
https://news.techrights.org/n/2024/03/12/Meme_Failure_to_Dismantle_the_Staff_Union_at_the_EPO.shtml
https://news.techrights.org/n/2024/03/12/Over_at_Tux_Machines.shtml
https://news.techrights.org/n/2024/03/12/Prof_Nils_Melzer_Cybertorture_Debian_Open_Source_vendettas.shtml
https://news.techrights.org/n/2024/03/12/Richard_Rothwell_suicide_Coroner_report.shtml
https://news.techrights.org/n/2024/03/12/Union_for_Staff_of_the_EPO_Has_New_Headquarters_in_Rijswijk_NL.shtml

 ䷞ Followed by Daily Links (assorted news picks curated and categorised):
https://news.techrights.org/n/2024/03/12/Gemini_Links_12_03_2024_Binary_Blinkers_and_Disappointment_in_U.shtml
https://news.techrights.org/n/2024/03/12/Links_12_03_2024_More_Strikes_Ahead_Software_Patents_of_IBM_Deb.shtml
https://news.techrights.org/n/2024/03/12/Links_12_03_2024_Russia_s_Lost_Momentum_Reddit_is_Offloaded_to_.shtml

                    ䷩ 𝚕𝚒𝚗𝚎 70

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

(ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/03/12/Android_is_Now_Close_to_Controlling_Half_of_Internet_Web_Connec.shtml
    Gemini version at gemini://gemini.techrights.org/n/2024/03/12/Android_is_Now_Close_to_Controlling_Half_of_Internet_Web_Connec.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Android is Now Close to Controlling Half of
Internet/Web-Connected Devices, Based on This
Survey⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Mar 12, 2024,
updated Mar 12, 2024


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Android_System⦈_


Caveat: Even Android Open Source Project (AOSP) isn't about freedom [1, 2]


Having just crossposted_from_the_sister_site something about GNU/Linux as a
desktop/laptop platform steadily treading towards 5% of "the market", let's
examine what happens when mobile_devices_are_also_accounted_for. Windows is
down to 26% (all-time low), Android surges back up to ~45%, and in relative
terms GNU/Linux is at an all-time high - more than twice the low point when the
COVID-19 pandemic started.


         🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Operating System Market Share Worldwide⦈


In Asia Windows_is_down_to_an_all-time_low_(21%) and setting aside everything
except desktops/laptops, watch GNU/Linux at 6.2%:


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


Not far from Apple. █




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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⣠⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⡀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡿⣛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⡿⣛⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⡛⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡸⣿⢇⡷⡶⣉⢤⢼⢰⡖⡠⡇⣾⢸⣴⡎⡕⠢⣿⡷⡭⢣⢏⡦⡐⡆⣎⢤⢼⢰⣦⣶⣿⣿⣎⢧⣿⢃⢼⣧⣾⣉⢾⢤⢼⢰⣿⡧⡭⡇⣶⢸⢂⢼⢰⣎⢤⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⢿⡶⣿⢿⣶⣿⣶⣾⣾⣷⢾⣿⣾⣾⢿⣷⣔⣣⣿⣷⣶⣟⣼⣷⣶⣷⣾⣷⣾⣾⣿⣿⣿⣿⣿⣾⣿⣷⣾⣿⣿⣿⣿⣷⣾⣶⣿⣷⣶⣷⣿⣾⣶⣿⣾⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡜⢳⠻⡼⣭⣽⢩⣽⡏⣭⢸⠻⡽⢻⢸⣭⣽⣏⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣷⣿⣧⣿⣬⣾⣼⣿⣷⣬⣾⣧⣷⣾⣼⣮⣼⣷⣥⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣛⣿⣛⣿⣯⠍⢫⡝⢫⣽⠭⢹⣿⣿⡏⢻⠏⣟⣻⢛⣿⣯⢽⢩⣹⡭⣻⢋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣟⣻⣤⣿⣿⣿⣧⣬⣮⣵⣮⣽⣭⣾⣷⣾⣧⣧⣦⣧⣼⣼⣿⣥⣭⣬⣼⣤⣵⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣻⠟⢟⠻⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣭⣦⣮⣷⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣏⡉⠙⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⠉⠉⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⡈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣀⣐⣌⣸⣟⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣂⣈⠙⠛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠘⠟⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠂⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿
⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢀⣀⠀⠀⠀⠀⢸⣿⠿⡿⠻⡿⢿⡟⢿⡿⢿⡿⢿⡿⡿⢿⠿⢿⠟⢿⠿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿
⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢿⣿⡗⠀⠀⠀⢸⡧⠄⠂⠐⠂⠀⡆⠖⠐⠶⠀⠂⡁⠃⠀⢰⢰⠀⢂⠠⠀⢰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿
⣿⣿⣿⠛⠛⠛⢻⡇⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠄⠀⠀⠀⠀⠀⠀⠠⠀⠸⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢸⣿
⣿⣿⣿⣶⣶⣷⣾⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⣀⣀⣼⣿⣿⡄⠘⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿
⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣄⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿
⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠘⠋⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿
⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣄⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⠿⣿⣿⣿⣿⣿⢸⣿
⣿⣿⣿⡿⠿⠿⢿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠻⣿⣿⡿⢿⣿⣿⡿⠛⠿⣿⣿⣿⡿⠿⣿⣿⣿⣿⠿⠿⣿⠛⢿⡿⠁⣀⠈⢀⠀⢟⠋⠉⠀⢸⣿
⣿⣿⣿⣤⣤⣦⣼⡇⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣄⠉⠉⢁⡐⠁⢀⣀⣤⠀⠭⠍⠁⣠⣤⡈⠉⠉⠉⢀⣄⣤⣤⣈⣀⣬⣭⣭⣭⠄⠀⠀⠀⢠⢸⣿
⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⢠⣤⡄⢁⣀⣀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠃⠀⠀⠸⠿⠿⠿⠿⠿⠿⠿⠟⠡⠄⠂⠷⠴⠿⠸⠿
⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠯⠁⣠⣿⣿⣿⣿⣿⣿⢸⠋⣹⣻⢻⠛⠛⠛⡿⡯⢹⢹⡏⡏⠻⡿⣏⠻⠛⣡⠌⠩⠍⠏⣿⣿⣿⣿⡇
⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠙⠃⢰⣴⣿⣿⣿⣿⣿⣿⣿⠘⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠁⠚⠛⠛⠛⠛⠛⠛⠛⠛⠛⠃
⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⢰⣦⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⣤⣾⣿⣿⣿⣿⣿⡿⠉⠉⢉⣵⢸⣿
⣿⣿⣿⠍⠉⡉⢹⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠉⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⣴⣿⣿⣿⡿⠿⠛⣉⣥⣶⣶⣾⣿⣿⢸⣿
⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⢋⡔⠉⠙⠛⠉⠁⣀⢈⣀⣉⣉⣉⠉⠙⠃⣀⢸⣿
⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠀⠼⠛⠻⠿⡿⠿⣿⢿⠿⠛⠛⠋⠉⠉⠉⠉⠉⠙⠋⢉⠁⣈⣁⣀⠀⠀⠀⢀⣀⣴⣾⣶⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿
⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀⣁⣠⣴⣦⣄⣀⣄⣀⣤⣤⣴⣶⣾⣿⣿⣿⣿⣿⣷⣾⡿⠿⠟⠋⣡⠤⠶⠟⠻⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠉⢻⢸⣿
⣿⣿⣿⣿⣿⣿⣿⡇⠿⠿⠿⠛⠋⠉⠉⠉⢉⣉⠉⠁⡀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⡉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠉⠉⠉⠀⠀⠀⣀⠁⣠⣤⣶⣶⣦⣄⣄⣀⣀⣀⣀⡉⠙⠉⠉⠀⠀⣶⣇⡈⢸⣿
⣿⣿⣿⣿⠿⠿⢿⠆⠤⠄⠰⠲⠞⠛⠋⠙⠉⠁⠀⠀⠀⠀⠀⠠⠀⠒⠒⠒⠛⠛⠛⠛⠒⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠉⠀⠐⠀⠁⠀⠛⠛⠛⠛⠃⠈⠋⠁⠀⠁⠈⠉⠉⠉⠋⠀⠀⠈⠉⠉⢸⣿
⣿⣿⣿⣿⣤⣧⣤⣤⣤⣤⣤⣤⣤⣠⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡶⠶⠒⣀⣤⣴⣶⣶⣶⣶⡶⢂⣠⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⠶⢶⣶⣶⣶⣶⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⣉⣡⢴⠐⣱⣿⣿⣿⣿⣿⡿⢋⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠁⣼⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⢋⣡⣴⣶⣿⣿⣯⡄⣲⣿⣿⣿⣿⠟⢁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⢐⣾⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⢋⣩⣤⣶⣿⣿⣿⣿⣿⣿⠟⠀⣺⣿⣿⣿⠟⢁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⢐⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⢋⣉⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣼⣿⣿⡟⣡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⠛⠗⠺⠿⠟⠿⠿⡿⢿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⡿⢻⠿⠿⡿⠿⢛⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⠻⡛⢛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⣥⣾⣤⣴⣤⣤⣥⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣯⣿⣽⣧⣮⣤⣬⣿⣬⣤⣥⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⣥⣾⣤⣥⣥⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢫⡝⢻⢩⢉⡹⡍⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣭⠛⡏⡏⢛⠙⣛⠛⡛⠛⢛⢻⣿⣿⣿⣿⣿⣿⣿⢫⡝⢻⢹⠙⡻⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣶⣶⣾⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣷⣶⣾⣾⣾⣶⣾⣶⣾⣾⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣶⣶⣷⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡇⣶⡌⡟⠭⠛⠭⣿⠟⣩⣭⢟⣍⢻⣫⡝⣿⡏⣶⣦⢻⣫⡙⡟⠍⣿⣫⡯⠝⡇⣽⢸⢩⡝⡟⡭⣽⣿⡒⢾⢻⣏⠫⢽⣭⡝⠭⢻⢩⡝⣭⢻⣿⢈⣿⠁⣿⠭⢻⢩⡅⢟⡝⠭⢫⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣧⣭⣵⣧⣭⣭⣭⣼⣷⣽⣭⣮⣭⣾⣭⣵⣿⣷⣭⣥⣿⣭⣵⣯⣭⣿⣿⣬⣥⣧⣽⣼⣼⣧⡧⠬⢻⣿⣭⣵⠇⣼⣭⣴⣯⣵⣭⣽⣼⣧⣿⣼⣿⣼⣤⣧⣧⣭⣼⣼⣧⣧⣥⣭⣽⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡏⣭⡏⠿⢿⡿⠿⡿⠿⡿⠿⣿⣿⢋⣿⠿⢿⢹⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡿⠖⡁⣿⣿⡩⠆⡇⣿⡰⠶⣿⣏⣬⡜⠦⢽⢸⡡⠆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⠿⣿⠿⣿⠿⣿⣿⣿⡿⣿⡿⣿⣿⣿⣿⣿⠿⣿⠿⣿⠿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⢑⢸⢰⣼⣿⢟⣼⢿⢈⢿⢠⡛⣸⣟⣻⡇⡜⣣⡏⡊⡇⣾⡿⢏⡇⡷⡹⢃⣏⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣽⣶⣾⣾⣿⣿⣶⣾⣶⣿⣶⣿⣶⣿⣿⣿⣷⣿⣿⣷⣶⣷⣿⣷⣶⣿⣶⣷⣶⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡛⢛⢛⢛⠻⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿
⣿⣿⣿⣶⣷⣷⣷⣶⣯⣀⣀⣀⣀⣀⣉⣉⣉⣉⠉⠙⠛⠿⠿⡟⠛⠛⠛⠛⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣀⣼⣿⣿⣷⣶⣤⣤⣄⣀⣈⢉⠉⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡄⠉⠉⢻⣿⠋⠉⠙⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠃⢰⣿⣿⣶⣆⠈⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣼⣿⣿⣿⣿⣷⣿⡆⠘⡇⠀⠋⠉⠉⠉⠉⠉⠀⠙⡟⠻⡟⠻⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣠⣱⣡⣙⣿⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⠀⠃⢀⠀⣒⣛⣛⣓⠀⢀⡀⠁⢀⠀⡀⠉⠃⡀⠙⡛⢛⠛⢛⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⣼⣿⣿⣿⣿⣿⡆⢸⣷⡀⢸⣶⣿⣧⣤⣷⠀⠁⠀⢀⠀⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠀⠉⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⡆⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⡇⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠠⣾⣷⠄⠀⠀⢸⣿⠁⢠⠠⠏⠈⡅⠬⠡⢌⢡⠈⠉⠉⠁⡅⠁⠨⠁⡈⠁⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣸⣿⡇⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠿⠿⠿⠿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠉⠉⠀⠀⣰⣾⣿⣶⣾⣶⣶⣶⣷⣶⣶⣶⣶⣾⣶⣶⣶⣷⣶⣶⣷⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⡇⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣤⣬⣤⣤⡇⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣤⣀⣀⣀⣀⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡆⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠏⢫⢋⠻⡇⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠇⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣷⣷⣷⣶⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠹⠙⣟⠿⠻⣟⡏⢹⠍⡍⠙⣟⡏⢫⠛⢫⡯⠉⠩⠙⢹⣿⣿⣿⣿⡇⢸⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⢹⣿⣿⣿⣿⡟⠘⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠃⣸⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠉⠀⠀⠈⠉⠉⢀⡤⠀⢰⠆⢀⡆⠀⠀⠸⢿⣿⠿⠀⠀⢀⡄⠀⡀⠀⣠⠄⠠⠴⠄⠀⠀⠀⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⠿⠿⢿⡇⠻⠿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠀⠉⠉⠀⠀⠀⠀⠀⠘⠃⠀⠃⠀⠀⠁⠀⠀⠀⠉⠉⢉⠉⣀⠀⣠⠤⣤⠤⣾⢿⡇⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣮⣤⣤⣦⣤⣤⣤⣤⣄⣀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠤⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢑⢨⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⡰⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡅⢡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣣⠈⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢪⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⠶⣨⣧⢁⠀⢩⠉⢉⠉⢉⠩⢹⣿⣿⣿⣿⣿⣿⣿⣿⡑⢆⣽⡑⢂⠄⡷⡐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠰⢪⣿⠸⡈⡍⠈⢩⠩⠉⡉⢩⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⡿⡿⡿⠿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⢿⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣝⣴⣧⣧⣧⣤⣥⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⣣⣾⣴⣬⣤⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣝⣿⣯⣤⣴⣤⣥⣤⣤⣤⣥⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 249

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

(ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/03/12/GNU_Linux_at_4_26_Now_5_by_Springtime_as_Measured_by_statCounte.shtml
    Gemini version at gemini://gemini.techrights.org/n/2024/03/12/GNU_Linux_at_4_26_Now_5_by_Springtime_as_Measured_by_statCounte.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ GNU/Linux at 4.26% Now, 5% by Springtime
(as Measured by statCounter)?⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Mar 12, 2024,
updated Mar 12, 2024


Crossposted_from_the_sister_site


WE are still seeing yet more reports about the growth of GNU/Linux on desktops/
laptops (one_more_added_last_night) and just shortly after we_showed_it_at
4.22% we_now_see_it_at_even_higher_than_that:


                    🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNU/Linux at 4.26%⦈


In spite of attempts_to_censor_this_site we're still going strong. There's a
lot more traffic - we're assuming as interest in the platform grows ("bandwagon
effect"). Lately, including yesterday, we serve about a million hits per day. █


         🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇I heard you like cats; So I made GNU cat⦈




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

                    ䷩ 𝚕𝚒𝚗𝚎 1391

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

(ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/03/12/IRC_Proceedings_Monday_March_11_2024.shtml
    Gemini version at gemini://gemini.techrights.org/n/2024/03/12/IRC_Proceedings_Monday_March_11_2024.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ IRC Proceedings: Monday, March 11,
2024⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Mar 12, 2024


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Wat_Ban_Den_Wat_Den_slaee_Sri_Muang_Gan_Temple_in_Chiang
mai,_Thailand⦈_


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




⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠈⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠐⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠠⠖⠘⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠏⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠉⣻⠿⣿⣿⣿⣿⠇⠀⠀⠀⠷⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠠⢼⣁⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⡿⡆⠀⠀⠀⠀⠀⠀⠀⢤⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢀⡄⠙⣿⡀⠀⠀⠀⠀⠀⠀⠀⠐⠄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⠈⠉⠙⠒⠶⢿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡦⠄
⢿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⢀⣀⣐⠤⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣴⣤⣀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠅⠀
⠀⠀⣿⣽⣗⣿⣿⣿⣿⢉⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⠀⠀⠀⠀⠲⣶⣾⣭⣂⣤⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣐⣷⢷⣿⣿⣿⣿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠺⣾⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣾⣿⣟⠿⠍⠛⠿⢿⣷⠀⠀⢀⣈⢭⠉⣛⠛⠿⠿⣯⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠏⠙⢻⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⠈⠻⣿⣿⡿⢁⡀⠀⠀⠀⠐⠀⢀⠀⠄⠒⠀⠀⠀⠀⠀⠀⢀⡠⠀⠀⠀
⣿⣿⣿⣿⢠⣿⣿⣶⡄⠀⢉⢛⣛⣿⢿⣶⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠈⠀⠀⠈⠛⠛⠑⠈⠿⡏⢺⡇⢹⣿⠁⡏⡏⣿⠙⡅⠀⠈⠙⡆⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡖⣿⠁⠀⠀⠀⠀
⣿⣯⣶⡏⠶⢿⣿⣿⠃⢀⣼⣾⣿⣿⣿⣷⣶⡏⠀⠀⠀⠀⣴⣤⡤⠤⢤⣶⠤⢀⢤⣤⣤⣀⣄⣄⣀⣠⣄⣤⡄⣧⢸⣷⠸⣿⣀⣧⣥⣯⣿⣷⣦⣤⠰⠷⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣾⣿⣿⣿⡇⠁⠀⠀⠀⠀⠀
⣿⣿⣧⣴⣾⣶⣶⡆⠀⣀⡈⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⠈⠉⠋⠉⠈⠻⠋⠝⠟⠿⠿⢿⣿⢿⠟⠛⠛⡛⠋⢉⡉⠉⠀⠀⠀⡈⢭⡽⠿⣂⠀⠀⢀⣼⣄⣀⣤⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀
⣿⣿⣿⠉⣛⡻⠿⠇⠸⠿⢿⣿⣿⣿⣿⣿⣿⣿⡑⢶⣶⣦⣤⣤⣄⣀⣈⣀⣀⣀⣀⣴⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠁⠩⣀⣈⣁⣀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣯⠁⠀⣀⣀⣰⣤⣤⣿⣭⣿⣿⣭⣍⢡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣖⣶⣶⣾⣷⣿⡿⠿⠛⠋⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 1618

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

(ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/03/12/Meme_Failure_to_Dismantle_the_Staff_Union_at_the_EPO.shtml
    Gemini version at gemini://gemini.techrights.org/n/2024/03/12/Meme_Failure_to_Dismantle_the_Staff_Union_at_the_EPO.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ [Meme] Failure to Dismantle the Staff Union
at the EPO⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Mar 12, 2024


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Moe and Barney meme: Drunkard Benoît Battistelli and SUEPO⦈


Drunkard? The real obsession with self-sedation is Benoît_Battistelli's. There
is also Office hearsay/gossip about António_Campinos doing illegal drugs, but
we were never able to verify this (no evidence beyond rumours).




⡇⢘⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⡀⠀⠀⠀⠀⠈⠀⠀⡰⠀⠀⣼⡇⠀⠀⠀⣠⣶⠆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⢿⠸⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣤⣴⣶⣶⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠔⠁⠀⠀⢻⡇⠀⠀⠀⣸⡇⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣴⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠠⠂⠀⢰⠀⠀⠀⠀⠀⠀⠀⢾⠀⢰⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡅⣤⣒⠀⣤⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣦⡌⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣄⣿⢸⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⢟⣛⣛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⢿⣿⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣽⣼⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢛⣋⣴⣿⣿⣶⣿⣿⣿⣿⣿⢷⡝⠻⡟⢋⢻⠉⡌⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⢰⣀⠀⠀⠀⣸⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣹⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣼⡿⢿⡿⡛⢿⢹⠉⡏⢢⢱⠘⠸⡆⠇⢱⠰⡉⣇⣃⣸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⡃⠀⠀⠀⢉⣇⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡇⢘⢸⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣡⣿⠈⡆⢇⢨⠺⡄⠇⣷⣱⣸⣦⣧⣵⣾⣾⣿⣷⠽⢿⡛⢛⡇⢔⡀⠈⠈⠠⠠⠀⠀⢀⠎⠀⠀⠀⠀⠐⢺⡏⡁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣧⣼⠸⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢿⣿⣧⣥⡾⢾⣶⣿⣿⠿⠿⡟⠛⣯⠩⣷⠐⣧⢸⣬⡛⣿⠘⣧⠠⢄⠀⠆⢤⣤⣦⠀⠀⠀⠀⠀⠀⠀⠀⡲⠤⡆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⣻⢰⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⢼⠻⡟⡍⢿⢹⡆⢺⣟⡈⡕⢷⢐⠸⡄⣿⣇⡟⡤⢷⣵⣿⣿⣿⣿⣦⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⢀⣌⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡆⣿⢸⡁⣿⣿⣿⣿⣿⣿⡇⠰⢸⡀⣻⡀⡃⣇⢱⢸⣄⣿⣸⣿⣧⣵⣾⣮⣿⣿⣿⣿⣧⣿⣾⡋⠝⢿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠷⠾⠇⠀⠀⠈⠋⠉⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡇⣿⢸⠀⣿⣿⣿⣿⣿⣿⣿⣘⢠⣣⣉⢷⣷⣾⣿⣧⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠊⢻⣿⣿⣿⣷⡀⣀⣤⣠⣤⡀⠀⠀⠀⠀⠀⣀⣷⣦⠸⠿⠷⠈⣝⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡇⠘⠀⠀⡛⣿⣿⣿⡟⠍⣩⣾⣿⣿⣿⣷⢿⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠿⠿⣿⣿⣿⢷⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠲⣶⣦⣿⣿⣿⠟⣿⣿⣶⣿⣧⣼⡌⣛⣩⠍⠙⣻⣿⣿⣿⣿⣿⣿⣿⣿
⡇⣀⣰⠁⠃⠉⠉⠉⣡⣾⣿⣿⣿⣿⣿⡿⣼⣿⣯⡻⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠁⠀⠀⠀⠀⠀⢀⣌⠛⠿⣿⣿⣛⢿⣿⣿⣿⣭⣿⣇⢴⣿⠿⠸⢹⣿⡏⣾⢟⣯⠡⣞⣛⣿⣛⡿⠷⠦⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿
⡇⢹⢹⡇⡤⠄⣠⣾⣿⣿⣿⣿⣿⣿⣿⣷⣽⣿⣿⣿⣮⢿⣿⣿⣿⣿⡿⢫⣶⡾⠉⣿⣿⣿⣿⠉⢹⣿⣧⣤⣿⣿⣏⣿⣿⣿⣿⣿⣿⢠⠏⣀⢲⡄⡄⢩⣦⢳⣿⣿⣿⣿⣿⣿⣿⣿⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡇⢈⢘⠀⠇⣼⣿⣿⣿⣿⣿⣿⣿⡿⣽⣿⣿⣯⡻⣿⢯⣿⣟⢿⣿⠯⣪⡸⣿⡇⠀⢹⣿⣿⡏⠀⠸⡿⠇⡉⣽⣿⣺⣿⣿⣿⣿⣿⣿⡏⣿⣽⣆⢰⡁⣼⣿⡿⢿⡿⠿⡿⣿⣿⣿⣿⣿⣙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡇⢼⡌⠁⠸⣿⣟⣶⣿⡻⣿⣿⣟⣾⣿⣿⣿⣿⣿⣯⣿⣿⣿⣷⣭⣾⠙⠃⣿⠀⠀⠀⣿⡿⢀⣀⣠⣶⣿⣿⣿⣿⣿⣻⣿⣾⢿⣿⣿⣴⣷⣿⣿⣿⣷⣿⣿⡿⣿⣿⣾⣿⣿⣿⣩⣽⣟⣻⡗⠹⠿⠿⠿⢿⣿⣿⣿⣿
⡇⠘⣷⠂⠀⢨⣿⣿⣿⣿⡙⢯⣾⣿⣿⣿⣿⣿⣫⣷⣿⣿⣿⣮⣿⣿⠀⠸⠏⠀⢀⣠⣵⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣿⣿⣯⣿⣿⣼⣿⣿⠟⠀⣰⣶⣶⣶⡆⣿⣿⣿⣿
⠇⢀⠉⠀⣰⣿⣿⣿⡿⢳⣶⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⠿⠈⣀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣟⣿⣿⣷⣿⣿⣗⣻⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣴⣿⣿⣿⣿⡇⢿⣿⡿⠿
⡇⠀⠀⢠⣿⣿⣿⣿⣥⣼⣿⣿⣿⣿⣿⣿⣿⣼⣿⢿⣿⡿⠋⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣝⢿⣿⣿⡽⣿⣿⣿⣿⣻⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣇⢶⡆⣶⣶⣶⣶⣾⣾⣿⣿⣿
⣗⡖⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠛⣡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢻⣿⣿⣟⣿⣿⣿⣿⣿⣿⣷⣿⡏⣛⢿⣿⣿⣿⣿⣿⡞⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡃⠀⠀⠈⠙⠛⠛⠛⠛⣻⣿⣿⣯⣭⣽⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣟⣿⣿⣻⡿⣿⣏⣿⣿⣿⣮⢿⣟⣟⣟⡉⣵⣶⣾⣿⣷⣭⣛⡿⣿⡿⢇⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶
⠁⡧⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠈⢿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡙⣿⣿⣿⣿⣏⣽⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡆⠑⠘⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⢳⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣴⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡇⠀⠈⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢃⣿⣿⣧⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡇⢰⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⡿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡇⢨⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⣾⣿⣿⣿⣿⣿⡾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣇⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⢦⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠇⠸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⠿⠿⠿⠿⠻⠿⠿⠿⢿⣿⣿⡿⠿⠿⠿⣻⠿⠿⠿⠿⠿⠿⢇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡇⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠘⠉⠉⢡⠈⠀⣸⡏⠀⠀⠰⠈⢠⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣤⣴⣶⣶⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⡠⠃⠀⠀⢿⡇⠀⠀⠀⣶⣾⡆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣤⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢀⠄⠀⢐⠀⠀⠈⠁⠀⠀⠀⣯⣭⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡇⢠⢀⠀⣠⣤⣤⣴⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠐⠀⠀⠈⠀⠀⠀⠀⠀⠀⢠⣿⣿⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡏⢹⢸⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢛⣛⣛⠻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠈⣿⡿⡤⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡇⢸⢸⡃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣩⣭⣴⣿⣿⣿⣷⣾⣷⣾⣿⣷⡄⠀⠀⠄⠀⠀⢰⠀⠀⠀⢠⣿⡇⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡁⢰⢸⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⡿⠿⣟⣭⣿⣯⣯⣟⣛⣛⠂⠀⠀⠀⠀⣸⡏⠀⠀⠀⠑⠀⡅⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣤⠜⠸⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣰⣿⣿⣿⣿⣷⢽⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⡀⡔⠉⠀⠀⠀⠀⡄⠀⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⢰⢰⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢸⣿⣿⣿⣿⣿⣜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠄⠛⣸⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢿⣿⣿⡿⠿⢻⢸⣿⣿⣽⣿⣿⣿⣏⢱⣼⣿⣿⠇⠀⠀⠀⠀⠀⠀⢀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡅⢠⢹⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠹⡏⣞⣷⢸⣾⣿⣿⣿⣭⣿⣿⣵⣿⣷⣶⣶⣆⢰⡶⠆⠀⠀⢘⡿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢇⢰⢸⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢫⣶⣴⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⢸⠀⠀⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣼⠘⠰⠂⠿⣿⣿⣿⡿⣛⢿⣿⣿⣿⡟⡛⢿⣿⣿⣿⢋⡙⣿⣿⣿⢏⢋⣭⣶⣿⣿⣯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⢠⠆⠀⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣻⠰⠯⠀⠇⠛⠛⠛⠃⠒⠈⠛⠛⠛⠀⠃⠈⠉⠉⠉⠈⠁⠉⠉⣀⣰⢿⣿⣿⣽⣿⣿⣯⢿⣿⣿⣿⣽⣿⣿⣿⣿⡿⠟⠛⠿⣿⣿⣿⣿⣷⠀⠀⢘⢠⡀⠂⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣷⣤⢲⠄⣀⣀⣀⣀⣀⣀⣀⡀⣀⢀⣀⠀⠀⣤⣤⣤⠀⠠⣠⣿⣿⣿⣯⣿⣿⣯⣿⣿⣿⣯⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⡀⠉⠉⠁⠀⠀⢸⢻⠉⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣟⢘⠂⡇⠠⠀⠄⠀⠀⠰⠀⠀⠀⣿⠃⠀⣿⣿⡿⠀⢠⣿⣿⣿⣿⣿⣼⣿⣿⣞⣿⣿⣿⣿⣿⣿⡿⠑⣽⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠈⣀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡏⠙⢜⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⢹⣿⠃⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣿⣯⣳⢿⣿⡆⠀⠀⠀⠀⠀⠀⠀⢠⣤⡄⠀⠀⠀⣿⠂⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣇⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢸⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⢼⣿⣧⠀⠀⠀⠀⠀⠀⠀⠘⠛⠃⠀⠀⢠⣿⠘⠁⢸⣿⣿⣿⣿⣿⡇⣶⣦⣴⣤⣤⣴⣤⣴⣦⡆⣿⣿⣿⣿
⣏⡀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠸⠿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⡿⣿⣿⣧⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠆⢸⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿
⡿⠁⢰⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢯⣿⣿⣿⣿⣸⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣵⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⣿⠀⡇⢸⣿⣿⣿⣿⣿⣷⣭⣭⣭⣭⡍⣭⣭⣥⣴⣶⣶⣶⣷⣶
⣇⡀⠀⠃⣈⣉⣉⡉⡉⠉⢉⡉⣉⡉⠉⠉⠉⠉⠉⠉⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⡃⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡏⠁⠀⠀⠿⠿⠿⠷⠹⢸⣿⢹⣿⡷⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⢿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡄⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣭⣭⣭⣭⣭⣭⣭⣭⣴
⣧⣢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⣼⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠠⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣵⠆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡷⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡇⠘⢿⣿⣿⣿⣿⠿⣿⣦⡀⠀⠀⠀⠀⠀⠀⣟⣿⡯⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣏⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠈⠉⠙⠻⢿⡆⠈⠀⠀⠀⠀⠀⠀⠀⣟⣿⣷⠆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡏⢙⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠻⠿⠿⠿⠿⠿⠿⠟⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡽⡼⢀⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣅⠈⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣏⠜⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡟⠒⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡿⡒⡂⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡇⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣧⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢉⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠇⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣾⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠏⠉⠉⡄⠁⠀⣾⡅⠀⠀⠀⣦⣇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣤⣴⣶⣶⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠌⠇⠀⠘⣿⡇⠀⠀⡄⠉⣶⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣤⣤⣤⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⡠⠀⠀⡇⠀⠀⠉⠀⠀⠀⢳⠛⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⢇⡂⢀⣤⣤⣤⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠂⠀⠀⠁⠀⠀⠀⠀⠀⠀⠸⡀⠿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣛⣙⡛⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣻⣃⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢋⣭⣥⣾⣿⣿⣿⣶⣿⣶⣿⣿⣦⠀⠀⠠⠀⠀⠀⣄⠀⠀⠀⠀⣿⣿⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡇⠠⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣾⣿⣿⣿⠿⢿⣫⣽⣿⣵⣽⣛⣻⡛⠀⠀⠀⠀⢀⣿⠁⠀⠀⢶⣿⡘⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡇⡥⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣾⣿⣿⣿⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⣀⢀⠎⠀⠀⠀⠀⢰⣾⠁⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣇⣷⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣷⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠘⠟⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡏⣟⢸⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡐⣿⣿⣿⠿⡟⡇⣿⣿⣷⣿⣿⣿⣿⡟⣶⢿⣿⣿⠁⠀⠀⠀⠀⠀⢠⡄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣹⡇⠀⢸⣿⡇⠐⣬⣡⣴⣾⣶⣶⣾⡤⠉⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡎⢿⢱⣟⣆⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣷⡄⢴⡦⠀⠀⠀⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡇⡇⢸⣿⠋⣴⣿⠣⢺⢿⡫⣻⣵⣾⣮⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣥⣦⣾⣿⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⠀⠀⠀⠀⠀⢻⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⠇⡇⠸⠃⡞⡭⣕⣂⣵⣿⡿⢿⡟⣿⢿⢿⢃⣿⡟⣉⢻⣿⣿⡿⠙⣩⣵⣾⣿⣿⡾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⣸⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣼⣧⠀⠀⣧⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡦⠉⠁⠉⠈⢉⣥⣶⣶⡝⣿⣧⣿⣿⣿⡽⣿⣿⣿⣯⣿⣿⣿⣿⣿⠿⠛⠻⠿⣿⣿⣿⣿⡆⠀⠀⡝⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡇⠀⢸⣿⣿⣿⣿⣿⣻⢿⣿⣿⣿⣿⣿⣷⣄⢠⡄⢀⣴⣿⣿⣿⣿⡟⣿⣿⣼⣿⣿⣿⣟⣿⣿⣿⣿⡿⣋⠁⠀⠀⠀⠀⠀⢀⠈⠉⠉⠀⠀⠀⢹⡿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠃⢀⠃⢸⣟⣿⣿⣿⣿⣿⣿⣿⡿⠋⡍⠛⢛⣛⢁⣴⣿⣿⣿⣿⣿⣿⣻⣿⣿⣷⣻⣿⣿⣿⡿⣿⣿⠏⢺⡇⣷⡀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣄⣸⡇⢸⣿⣽⣿⣿⣿⣿⣿⣟⣽⣷⣦⡀⠀⣡⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣷⣿⣿⣿⣾⣿⣟⡼⣾⣿⣿⣿⡄⠀⠀⠀⠀⠀⣤⣤⠀⠀⠀⢸⣯⢠⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⠇⢘⣿⣿⡹⣿⣿⣿⣿⣟⣛⣺⣿⣿⢴⣽⣿⣟⢿⣿⣿⣿⢯⣿⣿⣿⣿⣿⣿⣷⣵⣿⣿⣿⣿⣷⣿⣿⣾⣿⣿⣆⠀⠀⠀⠀⠛⠛⠀⠀⠀⠸⡟⡀⠀⣿⣿⣿⣿⣿⣿⢰⣶⣶⣶⣶⣶⣶⣶⣶⣶⢸⣿⣿⣿⣿
⣿⡧⠂⢸⣿⣿⣿⣟⣿⣿⣼⣽⣷⡻⣿⣯⣾⣿⣿⣿⣿⡽⣿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠟⠁⠀⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿
⣩⡅⠀⢸⣿⣿⣿⣿⣯⢯⣳⣿⣿⣷⢟⣿⣿⣿⣿⠋⠻⢟⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⢻⣿⣿⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⣿⣿⣿⣿⣿⣿⣮⣭⣭⣭⣭⢹⣿⣶⣶⣶⣶⣶⣶⣶⣶
⣿⡇⠀⢸⣿⣿⣭⣭⣿⣷⣿⣶⣿⣿⢼⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣷⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣰⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⡏⠠⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣭⣭⣭⣭⣭⣭⣭⣵⣶
⣾⡏⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢿⣿⣿⣷⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⣼⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠨⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣼⡗⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠻⣿⣿⣿⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣾⣷⡌⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣭⡝⠀⠘⠉⠁⠉⠉⠛⠉⠉⠉⠁⠀⠀⠀⠀⣰⣾⣟⣿⣿⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣽⣿⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡗⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣽⣯⣾⡿⣿⠘⠛⠿⠿⠿⠿⠿⠿⠿⠛⠛⠋⠉⢸⣿⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢺⡟⣀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢿⣿⣿⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣁⡏⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢿⣷⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣯⣰⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣪⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⠇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡒⢲⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠠⣾⠆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 1733

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

(ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/03/12/Over_at_Tux_Machines.shtml
    Gemini version at gemini://gemini.techrights.org/n/2024/03/12/Over_at_Tux_Machines.gmi

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


posted by Roy Schestowitz on Mar 12, 2024


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Saint_Michael_Cathedral,_Ban_Tharae_in_Sakon_Nakhon,
Thailand⦈_


⚓  Updated This Past Day⠀⇛


   1. ⚓ Links_11/03/2024:_TikTok_Bans_May_be_Imminent,_Social_Control_Media's
      Harms_Increasingly_Recognised⠀⇛


           Links for the day


   2. ⚓ Windows_TCO_Leftovers⠀⇛


           Some pair of examples about Windows TCO


   3. ⚓ Misogynistic_Trolls_Cannot_Stop_Tux_Machines [original]⠀⇛


           They might think this trolling is effective but that also makes
           them super-sexist and the police has opened several cases as a
           result of this sexism


   4. ⚓ Every_Week_in_March_GNU/Linux_Share_(as_Measured_by_statCounter)_is
      Increasing [original]⠀⇛


           the "Bandwagon Effect"


      ⚓  New⠀⇛


   5. ⚓ today's_leftovers⠀⇛


           Debian, HowTos, and more


   6. ⚓ Audiocasts/Shows:_GNU_World_Order,_LINUX_Unplugged,_and_Free_Software
      Security_Podcast⠀⇛


           3 new episodes


   7. ⚓ Security_Leftovers⠀⇛


           and some Windows failingss


   8. ⚓ Android_Leftovers⠀⇛


           Punishment or protection? Google is blocking rooted Android
           phones from using RCS messaging


   9. ⚓ GNU_Hyperbole_Major_Release_9_(V9.0.1)_Rhapsody⠀⇛


           GNU Hyperbole 9.0.1, the Rhapsody release, is now available on
           GNU ELPA


  10. ⚓ unofficial_antiX_23.1_with_3_init_and_4_service_managers_–_no_elogind
      needed⠀⇛


           for systemd sceptics


  11. ⚓ Programming_Leftovers⠀⇛


           Programming news and opinions


  12. ⚓ today's_leftovers⠀⇛


           5 misc stories, FOSS focus


  13. ⚓ LibreSSL_versions_3.8.3_and_3.9.0_released⠀⇛


           The LibreSSL project has announced the release of version
           3.8.3, and (development) version 3.9.0 of the software


  14. ⚓ Open_Hardware:_Raspberry_Pi,_μRepRap,_and_More⠀⇛


           5 hardware related bits of news


  15. ⚓ today's_howtos⠀⇛


           many howtos, first batch


  16. ⚓ GNU_Linux-Libre_6.8_Kernel_Released_for_Software_Freedom_Lovers⠀⇛


           The GNU Linux-libre project announced today the release and
           general availability of the GNU Linux-libre 6.8 kernel for
           those who seek 100% freedom for their GNU/Linux computers.


  17. ⚓ 9to5Linux_Weekly_Roundup:_March_10th,_2024⠀⇛


           The 178th installment of the 9to5Linux Weekly Roundup is here
           for the week ending on March 10th, 2024.


  18. ⚓ KeePassXC_2.7.7_Adds_Support_for_Importing_1Password_and_Bitwarden
      Passwords⠀⇛


           KeePassXC 2.7.7 has been released today as a new maintenance
           update to the KeePassXC 2.7 series of this open-source, free,
           and cross-platform password manager application.


  19. ⚓ 14_Best_Free_and_Open_Source_Speech_Synthesis_Tools⠀⇛


           Only free and open source software is eligible for inclusion


  20. ⚓ Review:_A_PinePhone_as_a_mobile_desktop_computer?⠀⇛


           I honestly had no idea, but I shared a few thoughts


  21. ⚓ today's_leftovers⠀⇛


           5 more stories of interest


  22. ⚓ Programming_Leftovers⠀⇛


           GNU/Linux development and beyond


  23. ⚓ Security_Leftovers⠀⇛


           Security news and CISA's latest


  24. ⚓ today's_howtos⠀⇛


           some are days old


  25. ⚓ Today_in_Techrights⠀⇛


           Some of the latest articles


  26. ⚓ Recent_GNU/Linux_Focused_Videos_(Invidious)⠀⇛


           many YouTube videos


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


                          Span from 2024-03-05 to 2024-03-11
      1385 /n/2024/03/04/Linux_Crosses_4_Market_Share_Worldwide.shtml


      916  /n/2023/03/04/LFS_11_3_Release.shtml


      853  /n/2024/03/07/
           Zorin_OS_17_1_Released_with_Enhanced_Windows_App_Support_Educat.shtml


      849  /n/2024/03/06/
           Microsoft_to_discontinue_Windows_Subsystem_for_Android.shtml


      816  /n/2024/02/28/
           KDE_Plasma_6_Desktop_Environment_Officially_Released_This_Is_Wh.shtml


      799  /n/2024/03/09/today_s_howtos.shtml


      795  /n/2024/03/07/today_s_howtos.shtml


      762  /n/2024/03/06/today_s_hwotos.shtml


      760  /n/2024/03/05/today_s_howtos.shtml




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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⣠⣄⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢣⡘⡏⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⡀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢠⠀⠀⣼⣿⣄⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡞⠀⠀⣿⣿⣿⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⡿⠀⠀⢸⣿⣿⣿⣿⣿⣼⡇⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢰⠇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣧⣿⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⡾⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⣇⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⠇⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡼⠀⠀⠐⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢣⠇⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡼⠀⠀⠀⠀⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢡⠇⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡼⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡇⠀⡀⠀⠀⠆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⢈⡇⠀⢊⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⡿⠜⡃⠀⠈⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠋⠁⠀⠈⠁⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠘⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⣿⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡏⣿⢻⠀⠀⠸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⠠⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣏⢹⠃⡇⣿⢸⢀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡇⣿⢸⡄⡇⢿⢸⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡟⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⡇⣿⢸⡇⣿⢸⡇⡇⢸⢸⠀⠀⠀⠀⠛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡟⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢹⡇⢸⡇⣿⢸⡇⣿⢸⡇⡇⢸⠈⠀⠀⠀⠀⠘⠀⠀⠀⠀⠈⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠏⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⢹⣧⢸⣇⢸⡇⣿⢸⡇⣿⢸⡇⡇⢸⠀⠀⠀⠀⠀⠀⢰⣦⢠⡄⠀⢀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡿⠃⠀⠀⠀⡿⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿⢿⣿⢸⡟⢸⡟⢸⡇⣿⢸⡇⣿⢸⡇⣧⢸⠀⡀⠀⠀⠀⠀⢸⣿⣿⣧⣤⣾⣶⣷⣿⣿⣿⣿⣿⣿⣛⠿⠿⣿⣿⣿⣿⣿
⡿⠏⠀⠀⠀⠀⢰⡇⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡿⣿⣿⢸⣿⢸⡇⢸⡇⢸⠀⣿⢸⡇⣿⢸⡇⡟⢸⠀⠃⠀⠀⠀⠀⢸⣿⣿⠿⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⠙⠛
⠁⠀⠀⠀⢀⣀⣸⠃⠀⠀⠀⡇⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢸⣿⣿⣿⣷⣿⣷⣾⡿⢸⡇⢸⡇⢸⠀⡿⢸⡇⣿⠘⡇⠃⠘⠀⠀⠀⠀⠀⠀⠈⣿⡧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⢻⣿⣿⣿⣷
⠀⠀⠀⠐⠙⠉⣿⠀⠀⠀⠀⠀⠀⠀⠃⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣾⣿⣿⣿⠁⠉⠉⢹⡧⢸⡇⣸⡇⢸⠀⡇⢸⡇⢸⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠂⡟⠙⣿⣿⣿⣿⣿⣿⣿⡟⢻⢻⠃⠂⠘⢻⢿⡟⡤
⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣴⣿⠿⣿⣿⣿⣿⠀⠀⠀⣼⡇⣸⣷⣿⠇⣸⠀⡇⠸⡇⢸⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⡀⠀⠈⢸⣿⣿⣿⣿⣿⣤⠃⠸⡇⠀⢀⠃⠘⠀⠀
⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢾⣧⠀⠀⣽⣿⣿⣿⠀⠀⠀⠇⠀⠛⡏⢻⣇⣿⡀⣧⠀⡇⢸⠀⡇⢠⠀⠀⠀⠀⠀⠀⠀⠀⣻⠁⠁⠀⢸⢸⣿⣿⣿⣿⣿⣯⠀⠀⡇⠀⠆⢀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠿⠄⠃⣾⣿⣿⣿⠀⠀⠀⣤⡆⢹⡇⠈⠉⠛⢑⣿⠀⡇⢸⠀⡇⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⣿⣧⣤⣼⡇⣠⣿⡊⠈⠙⠶⠤⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⠉⣁⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠰⢦⣿⢿⣿⠏⠀⠀⠀⢿⡇⢈⠀⠐⠒⠺⠟⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠹⠿⢿⣷⣿⣿⠛⢳⣶⣷⣤⣤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠙⠓⠂⠒⠀⠀⠀⠀⠀⠀⠀⠤⠘⠷⣦⡴⠶⠆⠐⠀⠀⠀⠀⠀⠀⠀⠚⠒⠛⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢻⠇⠔⢺⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠒⠒⠐⠂⠶⢶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣠⠠⠤⢤⡤⣤⣶⣤⣴⢤⣤⡄⣀⣴⣦⣀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣤⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⣬⣭⡤⠀⠀⠀⠀⠀⢤⣤⣿⣒⣶⣾⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⡿⢿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢋⣭⠄⠦⣶⣿⣿⣉⣠
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠛⠛⠻⠟⡿⠿⠃⠀⢤⠀⠀⠄⠛⣋⣉⢠⣤⣶⣴⣾⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠹⠟⠏⠀⠀⠀⠀⠚⠂⠀⠙⢶⣿⣿⠾⠗⠛⠛⠉⣉⡄⠀⢀⠠⠐⠋⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡆⠀⠀⠀⠀⠀⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡀⠀⠀⠀⠁⠈⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣤⣾⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 2026

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

(ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/03/12/Prof_Nils_Melzer_Cybertorture_Debian_Open_Source_vendettas.shtml
    Gemini version at gemini://gemini.techrights.org/n/2024/03/12/Prof_Nils_Melzer_Cybertorture_Debian_Open_Source_vendettas.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Prof Nils Melzer, Cybertorture & Debian
Open Source vendettas⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Mar 12, 2024


Reprinted with permission from Daniel_Pocock.


In February 2020, The_Guardian_reported_on_work_undertaken_by_Prof_Nils_Melzer,
United_Nations_Special_Rapporteur_on_Torture_and_Other_Cruel,_Inhuman_or
Degrading_Treatment_or_Punishment_concerning_the_subject_of_Cybertorture.


This is not exactly the stuff of tin-foil hats. It encompasses a growing range
of risks to almost every business where the managers and employees are using
the Internet as part of their job, through their mobile phones or in their
personal time.


For example, people have noted that the recent crash of the Silicon Valley Bank
happened faster than any bank run before it, thanks to the behavior of social
media. Whether it was by accident or by design, it happened.


Initially, I couldn't find many reports using the word Cybertorture.
Nonetheless, the journalist also mentions the more general term psychological
torture. I went looking for the original documents about the subject.


The OHCHR web site has a link to an official report from the 43rd session of
the Human Rights Council investigating the subject of Psychological_torture and
in fact the word "Cybertorture" does appear there in the text from the office
of the Special Rapporteur.


     The Special Rapporteur observes that psychological torture occurs in
     a wide variety of contexts, including ordinary criminal
     investigations, police detention, “stop-and-search” operations,
     intelligence gathering, medical, psychiatric and social care,
     immigration, administrative and coercive detention, as well as in
     social contexts such as domestic violence, mobbing, cyberbullying and
     political or discriminatory persecution.


Therefore, it seems perfectly reasonable to ask if Cybertorture may also occur
in the operations of open source organizations. I_previously_mentioned_it_in_my
analysis_of_amateur-hour_Codes_of_Conduct and now I intend to explore it in
more depth.


The full report (22 pages) is available to download_here. Section III(E) is
dedicated to Cybertorture.


     71. A particular area of concern, which does not appear to have
     received sufficient attention, is the possible use of various forms
     of information and communication technology (“cybertechnology”) for
     the purposes of torture. Although the promotion, protection and
     enjoyment of human rights on the Internet has been repeatedly
     addressed by the Human Rights Council (see A/HRC/32/L.20; and A/HRC/
     38/L.10/Rev.1), torture has been understood primarily as a tool used
     to obstruct the exercise of the right to freedom of expression on the
     Internet, and not as a violation of human rights that could be
     committed through the use of cybertechnology.


That sounds familiar. Remember the scandal of the FSFE_Communications_Policy?


     72. This seems surprising given that some of the characteristics of
     cyberspace make it an environment highly conducive to abuse and
     exploitation, most notably a vast power asymmetry, virtually
     guaranteed anonymity and almost complete impunity. States, corporate
     actors and organized criminals not only have the capacity to conduct
     cyberoperations inflicting severe suffering on countless individuals,
     but may well decide to do so for any of the purposes of torture. It
     is therefore necessary to briefly explore, in a preliminary manner,
     the conceivability and basic contours of what could be described as
     “cybertorture”.


How do these anonymous organized criminals disguise themselves?


Look for cowards who write Conduct Team, Community Team and CARE Team emails.


Look for cowards who communicate_through_lawyers.


Nonetheless, the most evil case of psychological torture that I know of is not
anticipated in the report. It is a hideous crime and I'll come back to that at
some point. Sadly, it is analogous to Debian culture.


Here I'll look at some of the attributes of Cybertorture that we can already
see.


§ Imposters⠀➾


The Non-Developing Debian Developers seem to be a good example of imposters. In
some cases it looks like they are simply giving voting rights to their
girlfriends.


One of these "developers" wrote the following on her Github profile:


     I don’t know how to code, but I do have blue hair.


Are these the words of a developer? Or is this somebody's girlfriend who was
given a Debian title without coding?


§ Anonymous emails / Team emails⠀➾


Here is an example from FOSDEM.


Subject: Re: [FOSDEM-Conduct]
Date: Sat, 19 Nov 2022 17:19:22 +0000 (UTC)
From: FOSDEM Conduct Team <conduct@fosdem.org>
To: [volunteers / victims]


Dear [volunteers / victims],


The FOSDEM Conduct team would like to inform you that, as has been communicated
before, you are banned from formal participation in FOSDEM events. This
decision
is final. We opt to have no further discussion with you.


FOSDEM Conduct Team
Notice the hint of Nazism in the email. Hitler wanted a final solution for Jews
and the Conduct team wants a final solution for people who ask questions.


§ Threats⠀➾


I previously described an_email_that_Laura_Arjona_sent_to_my_Outreachy_intern
behind_my_back:


     Thus, we are considering requesting a rejection of your application
     to the bursaries team.


§ Amateur-hour Codes of Conduct⠀➾


As noted in my blog_about_amateur-hour_Codes_of_Conduct:


     Nobody wants to sound like that guy with the tin foil hat spreading
     conspiracy theories about these matters. Nonetheless, if the PsyOps
     risks anticipated by Prof Melzer did exist, they would be concealed
     in broad daylight under the guise of these unsafe Codes of Conduct.


§ Attacking the person, not the issue⠀➾


In football terms, we would say playing the man and not the ball.


The classic example of this could be Jacob Appelbaum. Here are the yet-to-be-
published threads on debian-private:


   🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Jacob Appelbaum, debian-private, Debian, NSA, owned⦈


The Debian gangsters responded with attacks_on_Mr_Appelbaum's_reputation and
his home. They wanted to avoid the more significant question about Debian / NSA
relations.


      🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Debian, vandalism, graffiti, public judgement⦈


§ Tone nazis / word nazis⠀➾


You write an email about an important issue and somebody makes a reply about
the tone of the email without any comment on the issue itself. This includes
attacks on sarcasm.


People call it tone policing but I feel that term is too favorable. Police
serve a useful purpose in many situations. The term tone police is confusing
and disparaging to real police.


It is better to use a word like tone nazi or tone fascism. Please don't call
them tone police.


§ Attacking your metaphor⠀➾


This is a cousin of the tone nazis.


You use a metaphor to make a point, for example, reference to the Debian
Christmas lynchings uses the word lynching as a metaphor.


As in the case of the tone nazis, people discuss the metaphor and avoid
discussion of the actual issue.


§ Spreading rumors about people⠀➾


We can see an example of this in the case of the_violent_attack_on_Ted_Walther_
(krooger)_at_DebConf6_in_Mexico.


Ted was a candidate in the election for Debian Project Leader. We can see his
platform_in_2005 and another platform_in_2006.


When he arrived at the DebConf6 dinner with a female guest in 2006, political
rivals_spread_rumors_that_the_woman_was_a_prostitute.


This rumor was based on two facts: she was a woman and she was Mexican. It was
therefore sexist and racist. This is Debian.


§ Privacy violations⠀➾


I felt the pain of this personally. Carla suffers from an eating disorder.
People from Debian, FSFE and FOSDEM spread rumors about abuse.


Carla didn't ask for this. At FOSDEM, Molly de Blanc got up in the Legal and
Policy issues dev-room, introduced herself as a Debian Developer and President
of the OSI and encouraged people to join the whisper network and spread rumors
about Carla's eating disorder.


§ Forgeries, impersonation and Deep Fakes⠀➾


Look at Matthias_Kirschner_&_FSFE,_identity_fraud,_impersonating_the_FSF_to
undermine_Dr_Richard_Stallman_and_steal_donations_from_the_real_FSF.


This is only getting worse with deep fakes and other methods of impersonation.


§ Deception⠀➾


I covered the topic of deception_in_my_blog_about_Debian_Modern_Slavery.


§ Don't reply⠀➾


Every now and then a message appears on debian-private, the gossip network,
ordering volunteers not to reply to a particular person.


Many of the volunteers are like sheep and they are quickly intimidated by these
orders without asking any questions.


§ Manipulating people and inciting a mob⠀➾


This is the opposite of the Don't reply tactic. Rather than beating people into
silent submission, people are whipped up into a frenzied mob.


The world was shocked by the sight of Donald Trump's mob sacking the US Capitol
in January 2020.


We saw the same phenomena in the mob against Dr Richard Stallman during Easter
2021.


One of the key points about this mob phenomena are the people who_were
exploited_in_the_heat_of_the_moment_and_then_after_some_thought_asked_to_remove
their_names_from_the_lynching. The cyberbullies who ran this mob have locked
the github petition so that people can't remove their names any more.


§ Demonization, exaggeration⠀➾


Have a look at the Pentagon_employee_Paul_Tagliamonte_obliterating_the_gulag
metaphor.


The gulag metaphor is quite appropriate for any system of secret punishments.
Tagliamonte blows it out of the water by escalating it to questions of summary
execution.


In fact, the very reason for PsyOps is to avoid the blood stains associated
with executions.


§ Use of words or images that have a personal impact⠀➾


The feminazis set up a doxxing site to attack Jacob Appelbaum. According to
Appelbaum:


     The people behind the website against me used photos from a dear
     friend - she was really unhappy as she not only didn't authorize it,
     it wasn't something she supported.


These people who violate copyright on photos now insist on the invincibility of
their trademark rights. Go figure.


In fact, we can see the same pattern with Molly de Blanc's use of cat torture
at FOSDEM.


This_is_the_picture_of_a_cat_behind_bars_that_de_Blanc_used_at_FOSDEM_to_vilify
us:


       🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Molly de Blanc, Debian, FOSDEM, cat torture⦈


Carla and I had cats. That is why de Blanc chose cat pictures for her campaign
of harassment against us.


Cats don't belong behind bars. They are experts on violating any Code of
Conduct. This is how they walk on the dinner table, sleep on the dinner table
and tear down the Christmas Tree.


                    🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇cat, dinner table⦈


                    🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇cat, dinner table⦈


                   🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇cat, christmas tree⦈


§ Suddenly cutting a discussion⠀➾


An important philosophical issue is being discussed on an open source mailing
list and all of a sudden somebody insists that it must stop.


§ Humiliation in front of others⠀➾


Somebody sends you an insult and they CC other people on the same email.


Any publicly visible insult in social media, Github or any other platform.


§ Secret acts of shaming⠀➾


Even more serious than the public acts of shaming, the secret acts of shaming
are a recipe for disaster, leading to consequences like alcohol and drug
dependency, self harm or even suicide.


These secret acts of shaming mirror the tactics of pedophiles. Pedophiles hope
that the shame of abuse, known only to the victim and the abuser, will prevent
the victim speaking to any third party.


We see the tactic being deployed by Enrico Zini in_his_message_to_Dr_Norbert
Preining:


     We are sending this email privately, leaving its disclosure as your
     decision (although traces in public databases are unavoidable).


Dr Preining and I have been courageous enough to call their bluff and expose
these pedophile tactics.


In many cases, pedophiles hope that secrecy will allow them to return to the
same victim and commit further acts of abuse. Notice the following in Zini's
message to Dr Preining, where he encourages Dr Preining to continue doing work
for Debian under these oppressive terms:


     All packages in which you are currently listed as maintainer or
     uploader will be added to your Debian Maintainer whitelist as soon as
     possible.


§ Condescending and belittling people⠀➾


A good example of this comes from my trip to FOSSASIA. The Debian Project
Leader (DPL) Chris Lamb insisted that I should spend another hour looking on
AirBNB to find cheaper accommodation.


This type of thing demonstrates a total disrespect for the value of my time.
Accommodation in Singapore is expensive, there is no easy way around that.


Subject: Re: travel request: FOSSASIA March 2018, Singapore
Date: Tue, 16 Jan 2018 05:59:49 +0530
From: Chris Lamb <lamby@debian.org>
To: Daniel Pocock <daniel@pocock.pro>, leader@debian.org


Hi Daniel,


> Accommodation:  EUR 500


Can you confirm this amount? It seems rather high for a short conference;
I stayed in .sg for about 3 weeks on this amount last year!


Regards,


--
      ,''`.
     : :'  :     Chris Lamb
     `. `'`      lamby@debian.org / chris-lamb.co.uk
       `-
§ Using pawns⠀➾


Dr Preining shared examples_of_the_threats_he_received_from_Enrico_Zini_in
Italy.


Zini appears to be something of a pawn. People like Chris Lamb are pulling
Zini's puppet strings. Lamb was a coward who couldn't look people in the eye so
he used Zini to send messages like that.


Lamb is a total coward. He used Zini to send me insults in September 2018. At
the same time, Lamb was sending emails behind my back to denounce me. He used
Zini as a shield. Pity the little Italian pawn.


§ Using organizations and organization names to spread defamation⠀➾


Look at how a series of organizations were strong-armed to publish defamation
about Jacob Appelbaum in 2016.


Linux Australia is a particularly good example of a gullible board. On 22 June
2016, they stated they_would_wait_for_the_matter_to_become_clearer before
deciding if any response was necessary. Eight days later, on 1 July 2016, Linux
Australia published a long email publicly_denouncing_Jacob_Appelbaum. They
reached the decision to do that in just eight days, but seven years later, the
situation hasn't actually changed: not one person ever filed a police complaint
against Appelbaum. Linux Australia was suckered or bullied into making that
statement.


Outsiders are frequently deceived to believe that an organization like Linux
Australia made a credible inquiry into the matter. In reality, one or two
gullible board members were suckered into the hysteria and the rest of them
were asleep at the wheel.


§ Inconsistencies⠀➾


For five years now people have been spreading the rumor that I had a
relationship with my Google Summer of Code intern.


The problem with this rumor is that the woman was already engaged before
starting the internship. She actually got married in the middle of the GSoC
internship.


Here is Ariadne Conill spreading rumours about a mentor (me) girlfriending one
of the GSoC interns:


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


The last female intern I was responsible for is Elena_Gjevukaj. In the middle
of her internship, she sent me a picture of her wedding.


Oops. Debian lies. Ariadne lies. If the woman got married in the middle of the
internship then it is both very rude and very absurd for Debian people to
suggest she was my girlfriend.


Subject:        Surprise
Date:   Wed, 15 Aug 2018 01:14:54 +0200
From:   Elena Gjevukaj <gjevukaje@gmail.com>
To:     Daniel Pocock <daniel@pocock.pro>


We got married! 😂
                      🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Elena Gjevukaj⦈


The Debian / Google vendetta against this woman and I is horrendous.


More details are available on Outreachy.Dating.


§ Reference to secret victims⠀➾


This is a common scam in open source organizations. Some little fascist
pretends to be acting on behalf of a woman or some other vulnerable victim.
There is no evidence and no names are permitted.


§ Blocking communications⠀➾


We see them maliciously putting the email addresses of certain volunteers onto
spam blacklists.


The Stasi did evil stuff like this. There are various emails on debian-private
where Alexander Wirt (formorer) admits putting people on blacklists.


§ Claims that people are quitting or refusing to join⠀➾


This is another gangster tactic used to vilify somebody. In fact, if people are
quitting, it is usually because of the overall problems in the culture and not
because of any one individual scapegoat.


The culture of humiliating people and making public statements about people is
a big turn-off for many people, especially women. Most people don't care who is
right or wrong, as soon as they see somebody being humiliated they run a mile.


Yet the little cyberbullies still insist that they have to punish some
scapegoat because other people are quitting.


§ Menial tasks and chores⠀➾


If people are quitting, it is most likely because of menial tasks and chores.


FSFE's demand_for_developers_to_run_their_REUSE_tool and the similar DEP-
5 requirement in Debian shows how completely out of touch they are with the
interests of volunteers.


§ Aggressive emails sent at night and on weekends⠀➾


Look at the lynching of Dr Richard Stallman, it_started_on_a_Sunday.


§ Setting deadlines for volunteers⠀➾


Two days is hardly enough time to find begin to read, let alone reply to, all
the nonsense that appeared in the Jacob Appelbaum lynching.


Subject: Expulsion of Jacob Appelbaum <error>
Date: Sat, 18 Jun 2016 21:41:50 +0200
From: Debian Account Managers <da-manager@debian.org>
Organization: Ganneff
To: debian-private <debian-private@lists.debian.org>
CC: error@debian.org, jacob@appelbaum.net, leader@debian.org


[...]


Most of these testimonies have been sent to debian-private in a way that
is accessible to all Debian Developers (including Jacob). Two days ago
we emailed Jacob directly, forewarning him of this decision and
soliciting his input. We have received no reply, and the deadline we set
has lapsed.


[...]

§ Isolation treatments (like solitary confinement)⠀➾


Here is that brutal cat picture from FOSDEM 2019 where Molly de Blanc, the
former Debian leader's girlfriend, not being a developer herself, suggested
isolation punishments:


       🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Molly de Blanc, Debian, FOSDEM, cat torture⦈


Here is an example from the_case_of_Michael_Kappes_at_FSFE:


Subject: Re: [GA] Fwd: Konsequenzen
Date: Fri, 26 Jan 2018 17:13:07 +0100
From: Erik Albers <eal@fsfe.org> (employee bullying volunteers)
To: Jonas Oberg <jonas@fsfe.org>
CC: ga@lists.fsfe.org


Hi Jonas,


On 23.01.2018 11:44, Jonas Oberg wrote:
>> We will report after that.


There have been even more CoC breaches by this person on our mailing list
recently but I do not see the need going so much into detail. The CARE
informed the person in question to be exluded from any local meet-ups for
three months and that he is put on moderation on all FSFE mailing lists in the
same time. His access to his blog is also deactivated for 6 months and he is
not allowed to participate in any official FSFE representation, including but
not limited to participate in booths or give talks in the name of FSFE.


...
§ Intrusion on significant dates⠀➾


Dr Norbert Preining writes about how Debian_mafia_attacked_him_on_his_birthday.


This is horrible but no big surprise. In 2018 the same gangsters attacked Dr
Preining and I at Christmas.


In 2021, the crazy mob attacked Dr Richard Stallman over the Easter holiday
season.


In my own case, they attacked me on the wedding anniversary, on my birthday and
again on Christmas eve.


They attacked me after my father died and they attack me again on the
anniversary of his death. █




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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⠧⡮⠧⡍⠭⠭⠯⠭⠵⢯⡭⠽⠭⠽⢬⠩⠭⠽⠭⠭⠭⠭⠬⠵⢭⠯⡽⢭⠯⡯⠭⠿⣭⣽⡯⣿⡭⠥⠭⠥⠬⠭⣿⣿⢼⣯⠤⠭⠤⠤⣧⠤⢼⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⠯⡭⠯⡭⠯⡭⠭⠭⠭⠯⡭⠭⠭⠽⢭⠭⠽⢭⠭⠭⢭⣭⣭⣭⣭⣯⣽⣭⣧⣍⣽⣿⡯⣿⠭⠭⢯⠭⠭⡭⣭⣿⢽⡿⠭⣍⠭⠭⣿⠭⢽⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣙⣇⡕⣆⣒⣒⣓⣖⣚⣣⣖⣚⣲⣚⢲⣐⣚⣚⣲⣚⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣑⣖⣎⣛⣒⣲⣿⣿⣸⣇⣀⣓⣀⣈⣗⣀⣸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣓⣖⣓⣖⣒⣖⣒⣒⣚⣓⣖⣒⣒⣚⣲⣒⣒⣲⣒⣒⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣓⣒⣒⣒⣒⢒⣺⣿⣺⣗⣒⡲⣒⣒⣷⣒⣺⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⠳⡆⡣⡄⠥⠤⠦⠤⠴⢇⡤⠴⢤⠼⢤⠠⠼⠴⠤⠼⢿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣿⠬⢤⠬⠤⠠⣿⣿⣿⢸⡇⠐⠮⠀⠰⠅⠸⢡⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⠯⡭⠯⡭⠭⡭⠭⠭⠽⠯⡭⠭⠭⠽⢬⠭⠭⢭⠭⠽⢿⣿⣿⣿⣿⣿⣿⣿⡯⣿⡯⠭⠯⠍⠭⠭⢿⣿⢽⡯⠥⢭⠭⠭⡫⠭⣭⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡉⢯⡍⣏⣉⣉⣉⣉⡉⣩⣏⣉⣩⣉⢹⣉⣉⣹⣩⣉⣹⣿⣿⣿⣿⣿⣿⣯⣿⡍⣉⣯⡉⣏⣉⣿⣿⢹⡏⠩⣝⠉⢩⡊⠉⢹⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣓⣗⣓⣖⣒⣒⣒⣒⣚⣳⣖⣚⣒⣚⣲⣒⣒⣚⣒⣚⣻⣿⣿⣿⣿⣿⣿⣗⣿⣖⣒⣗⡒⣒⣒⣿⣿⣺⣗⣒⣒⣒⣒⢖⣲⣺⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⡟⡒⡗⠒⠗⠒⡓⠒⢒⡖⠒⢓⠒⢲⠒⠚⢲⢒⠚⢲⠒⠚⠛⢛⠛⡟⢻⠛⡟⡛⢿⣗⣿⠖⠒⠒⠒⠒⠒⠾⣿⢺⡗⠒⡪⠒⠒⠕⠒⢻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⠧⡮⠧⡭⠭⠭⠯⠭⠵⢯⡭⠽⠭⠽⢬⠭⠭⠽⠭⠭⠭⠭⠬⠵⠭⠯⡽⢭⠯⡯⠭⣽⡯⣿⡥⠯⠽⢬⡽⢿⣿⣿⢼⣧⠤⠭⠤⠤⣯⠥⢼⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⠯⡭⠯⡭⠯⡭⠭⠭⠭⠯⡭⠭⠭⠽⢭⠭⠽⢭⠭⠭⢭⠭⠭⠭⠭⠯⡽⢭⠯⡍⠭⠿⣥⣿⡯⣿⡭⠭⢭⡯⠭⢽⣿⣿⢽⡯⠭⠝⠭⠭⣯⠭⢿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣙⣆⣕⣇⣓⣒⣒⣖⣓⣢⣞⣓⣲⣚⣲⣘⣒⣒⣺⣚⣒⣚⣒⣐⣢⣚⣖⣳⣚⣖⣗⣓⣶⣛⣺⣟⣿⣑⣐⣚⣐⣒⣚⣋⣿⣸⣗⣁⣓⣀⣀⣇⣂⣸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣓⣖⣓⣖⣒⣖⣒⣒⣚⣓⣖⣒⣒⣚⣲⣒⣒⣲⣒⣒⣒⣒⣒⣒⣒⣓⣞⣲⣓⣆⡒⣻⣿⣗⣿⣒⣒⣒⣒⣒⣒⣺⣿⣺⣗⣒⡒⣒⣒⣗⣓⣾⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⣄⠷⠬⠦⡤⠾⠤⠠⠤⠧⡄⢧⢼⡵⠧⠬⠤⢠⡼⢧⠴⠤⠤⠴⠤⠼⠤⢄⣴⣿⣿⣿⣿⣿⣿⣿⡷⣿⣠⠤⠦⠇⠥⠬⢽⣿⢸⡇⠀⠯⠀⠀⡇⡀⢸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⠯⡽⢭⠭⠭⠭⠩⠭⠭⡭⠯⡽⢭⠭⠭⠭⠭⠽⢭⠭⠭⠭⠭⠭⠭⢭⠭⠭⠿⣿⣿⣿⣿⣿⣿⡯⣿⠭⠭⠭⠭⠭⠩⢽⣿⢽⡯⠭⢭⠭⠭⡯⠭⠿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢉⡧⣙⣍⣉⣽⣈⣉⢉⣏⣉⡏⣙⣫⣏⣙⣉⣉⢹⣏⣩⣉⣉⣩⣉⣹⣍⣉⡩⣿⣿⣿⣿⣿⣯⣿⢏⣉⠏⡉⣉⠉⣟⣿⢹⡏⡉⣑⠉⠉⡊⢍⢹⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣛⣖⣲⣒⣓⣒⣒⢒⣒⣒⣓⣖⣲⣓⣒⣒⣒⣚⣲⣚⣒⣒⣚⣒⣚⣲⣒⣚⣛⣿⣿⣿⣿⣗⣿⣒⣒⣒⣒⣚⣲⣶⣿⣺⣗⣒⣒⣒⣒⣗⣒⣺⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣖⠳⡊⠒⣲⠒⠒⠐⡖⠓⡖⠳⢞⡖⠳⠒⠒⢲⡞⢒⠒⠒⢒⡖⢲⡚⠒⢒⣶⣿⣿⣿⣗⣿⣒⠒⠒⡗⠒⠚⢻⣿⢺⡗⠕⡪⠒⠒⡗⠒⢺⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⠷⡭⢭⠭⠯⠭⠭⠬⠭⠭⠧⡭⢭⠯⠭⠭⠭⠼⢭⠽⠭⠭⠽⠭⠽⢭⠭⠵⠿⣿⣿⡯⣿⡬⠭⠯⠥⢽⠿⣿⣿⢼⡧⠤⠭⠤⠤⡥⢤⢼⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⠯⡝⢭⠭⠭⢬⠩⠭⠯⡭⠯⡽⢭⡯⡭⢭⠭⠽⢭⡭⠭⠭⠭⠭⡽⢭⠭⠭⣿⡯⣿⢭⠭⠭⠭⠿⠿⠿⣿⢽⡯⠭⢝⠭⠭⡫⣭⢽⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣙⣟⣋⣻⣋⣙⣛⣏⣻⣫⣛⣛⣂⣙⣂⣱⣒⣻⣲⣶⣶⣷⣶⣷⣶⣾⣷⣶⣶⣶⣾⣷⣾⣶⣶⣾⣷⣾⣷⣶⣾⣟⣿⣐⣒⣲⣐⣒⣒⣂⣿⣸⣇⣂⣑⣀⣠⣆⣊⣾⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣛⣾⣲⣒⣒⣓⡖⣚⣲⣐⢒⣲⣒⣐⢒⣒⣓⣖⣂⡛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣓⣒⣒⣒⣒⣾⣿⣿⣺⣗⢖⡖⣒⣒⣟⣒⣺⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⠣⡜⢤⠤⠦⠥⠤⠼⢤⠤⠺⡠⠤⠤⠀⠤⠇⡴⢦⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣿⠡⠠⠁⠠⠤⠼⠿⣿⢸⡇⠁⠠⠀⠐⡇⠀⣸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡿⠿⠭⠿⠽⠭⢭⠭⠯⠭⣽⣭⣩⣭⣭⣭⣩⣭⣭⣯⣭⣍⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⠭⠭⠯⡭⠭⢭⣿⣿⢽⡯⡭⡭⠭⠭⡯⠭⢽⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⢏⣩⠈⢈⣉⠉⣹⣋⣁⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣍⣉⣹⣉⣉⣋⣉⣿⣹⡏⡊⢁⠉⠩⣏⡁⢹⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣓⣖⣒⣒⣒⢒⣚⣲⣒⣒⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣖⣒⣚⣒⣒⣚⣿⣿⣺⣗⣒⣒⣒⣚⣗⣒⣺⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠓⡖⢒⠐⠐⠒⠚⢲⠖⠂⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⠒⡒⠂⠛⠻⢻⣿⣿⢺⡗⠐⠂⠐⢐⡗⠲⢺⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡬⠯⠤⠬⠭⠤⢭⠽⠭⠭⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⠬⠭⠯⠭⠭⢭⣿⣿⢽⡧⠤⠬⠤⠴⡧⠥⢼⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠭⠯⠭⡭⠩⡨⢭⣽⢭⢭⣍⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⢭⡭⠯⡭⠥⠭⣿⣿⢽⡯⠩⢍⠩⠩⣯⢭⣻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣙⣖⣀⣐⣓⣀⣒⣲⣚⣚⣚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣐⣖⣲⣓⣒⣶⣾⣿⣺⣇⣀⣐⣀⣠⣆⣊⣸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⡗⢒⠒⠐⠐⠒⢺⠖⠒⠢⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⡖⠒⢲⠖⠒⢲⣼⣿⢺⡗⠐⠀⠐⢐⡗⠊⢺⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⠯⡤⠬⠭⠤⠭⠽⢭⠭⠭⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⠭⠭⢽⡭⠭⣽⣿⣿⢽⡧⠤⠬⠤⠴⡯⠥⢼⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠍⡩⠩⠭⠈⠩⠹⢭⡭⠽⢭⣭⣉⣭⣭⣭⣭⣟⣭⣽⣩⣹⣭⣍⣭⣭⣭⣭⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⠍⠭⠭⡭⡭⢿⣿⣿⢽⡏⠫⠝⠉⠩⡏⠍⢻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣑⣞⣀⣐⣒⣀⣚⣲⣒⣒⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣐⣒⣓⣑⣒⣶⣾⣿⣺⣇⣀⣐⣀⣨⣗⣂⣺⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡓⣖⣒⡒⢐⢒⡚⣲⣒⣒⡛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⡲⣒⣲⢛⡓⣶⣿⣿⣺⡗⣒⠒⠒⢒⣗⡒⢺⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⡿⠀⠫⠴⠀⠤⢤⠤⠼⠥⣤⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣿⠄⠤⠴⠐⠤⢿⣿⣿⢼⡇⠀⠠⠀⢐⡧⠄⢸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⠯⡭⠭⠭⠩⠭⠽⢭⠭⠭⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⠭⠭⠭⢿⠿⠿⣿⣿⢽⡯⡭⠭⠭⠭⡯⠭⢽⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⠿⢿⣷⠉⣟⣡⣈⣈⣁⣉⣹⣋⣁⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⢉⢨⡈⣏⣃⣀⣉⣿⣹⡇⠊⢀⠀⠨⡇⡕⢸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣟⣛⣒⣓⢒⣒⣲⣒⣒⣚⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣒⣒⣺⣖⣒⣾⣿⣿⣺⣗⣒⣒⣒⣚⣗⣒⣺⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠂⡴⠓⠀⢰⠆⠂⣚⠐⢚⡔⡃⡔⢪⠓⠰⠷⠒⢴⠶⠀⡐⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⠀⠐⢒⢓⠐⣶⣮⣿⢺⡇⠒⠮⠀⠐⠭⠒⢺⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⠯⡭⠭⠽⢭⠭⠶⢭⠽⠧⡤⠯⡽⢤⠬⠭⠥⢽⢭⠭⠭⠥⠭⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⠭⠽⠬⠽⠭⣯⣭⣿⢽⡧⠤⠭⠤⠬⣭⢤⢽⣿⣿⣿⣿
⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⠯⣩⠉⠹⢬⡉⠭⠉⠩⠏⡍⠏⡹⢉⠩⢋⣝⠿⢍⡍⠭⠭⠭⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⠝⠽⠉⠉⠹⣿⣿⣿⢽⡏⠭⣝⠉⠩⣛⠭⢽⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣑⣖⣒⣚⣲⣒⣛⣤⣚⣳⣇⣁⣞⣲⣀⣐⣒⣊⣰⣒⣒⣒⣂⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣒⣒⣚⣚⣲⣿⣿⣿⣺⣇⣀⣒⣀⣐⣂⣂⣸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡓⣖⢒⡒⢐⠒⠚⣲⡖⣒⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⡲⢒⡲⠚⠂⣶⣿⣿⣺⡗⢒⠒⠒⢒⣗⡒⢻⣿⣿⣿⣿
⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⠫⡴⠄⠨⠤⠀⠼⢥⠬⠬⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣿⠨⠤⡴⡏⠥⠤⢿⣿⢼⡇⠅⠨⠀⢐⡇⠄⢸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡿⠿⠭⠯⠭⠭⢭⡩⠭⠽⣭⣭⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⠭⠭⠽⠯⢭⠿⣿⣿⢽⡯⠭⠭⠭⠭⣿⠭⢽⣿⣿⣿⣿
⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⢷⣉⡞⢡⣈⠐⣀⣉⣱⣛⣐⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⢄⣨⣠⡀⣈⣂⣐⣿⣹⡇⠈⠐⠀⠨⣇⡑⢻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣟⣒⣓⣒⢒⣒⣲⣒⣚⣒⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣒⣒⣓⣶⣞⣛⣿⣿⣺⣗⣒⣒⣒⣚⣷⣲⣺⣿⣿⣿⣿
⣿⣿⣻⣿⣿⣿⣿⣿⠛⡟⢂⠃⠰⠂⠐⢠⠤⠚⠃⣶⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⠂⠂⡏⠐⠛⠟⣿⣿⢺⡧⠔⠀⠀⢐⡷⠂⢸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⠯⡥⠬⠭⠤⠭⠽⢭⠭⠭⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⡬⠭⠤⠥⢽⠤⣭⣿⢽⡯⠥⠬⠤⠤⣧⡥⢼⣿⣿⣿⣿
⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⢿⠍⠏⡩⡍⠨⢉⠭⠉⡉⢉⠩⡯⠏⢉⠏⣉⣍⣋⣩⣏⣉⣭⣍⣭⣩⣉⣩⣹⣉⣹⣉⣭⣉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⠍⣭⡉⠉⠍⠿⣿⣿⢽⡏⠉⣉⠉⠩⡯⡍⣹⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣐⣟⣒⣣⣒⣰⣒⣒⣃⣈⣐⣁⣒⣞⣀⣁⣋⣙⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣂⣂⣁⣧⣒⣚⣛⣿⣺⣇⣀⣒⣀⣀⣗⣂⣸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡓⡞⢐⡒⢒⠒⠒⣲⡖⣒⠒⣷⣶⣶⣶⣶⣶⣶⣮⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⠓⢒⢓⢒⠒⣶⣾⣿⣺⡗⠒⠒⠒⢒⣕⣒⢻⣿⣿⣿⣿
⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣤⠣⡴⠄⠨⠤⠀⠼⢭⠬⠬⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣿⠰⠤⠤⠠⠿⠿⢻⣿⢼⡧⠂⠠⠀⠐⡤⠄⢸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠽⡩⠭⢭⠭⠭⡯⡭⢭⣭⠽⣯⡿⡭⢽⡯⠭⡭⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⠯⠍⠭⠭⠽⢿⣿⣿⢽⡯⠭⢭⠭⠭⡫⠽⢿⣿⣿⣿⣿
⣿⣿⣽⣿⣿⣿⣿⣿⣿⢉⣇⡩⢁⣘⠀⣀⣹⣚⣈⣙⣶⣾⣿⣷⣾⣷⣾⣾⣷⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⢂⣃⢉⣐⣀⣈⣿⣿⣹⣗⡊⢁⠀⠨⣖⣁⢸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣒⣗⣒⣒⣒⢒⣒⣺⣒⣒⣒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⢒⣚⣒⢒⣒⣚⣿⣿⣺⣗⣒⣒⣒⣒⣷⣒⣺⣿⣿⣿⣿
⣿⣿⣻⣿⣿⣿⣿⣿⣿⠂⡇⢐⠂⠠⠀⠀⢺⠧⠒⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⠎⠚⠀⠀⡸⣿⣿⣿⢺⡇⠅⠠⠀⢐⡗⠂⢸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⠯⡥⠬⠭⠤⠭⠽⢭⠭⠭⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⠭⠭⠽⠯⠵⣼⣿⣿⢽⡧⠥⠬⠤⠴⡧⠥⢼⣿⣿⣿⣿
⣿⣿⢿⣿⣿⣿⣿⣿⣍⠏⡩⠍⠉⢉⠩⢏⡨⠉⠉⡉⠉⡉⠉⠯⣙⢉⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⢭⢉⠉⠍⠍⣉⣹⣿⢽⡏⠉⢉⠉⠩⡏⠙⢽⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣑⣞⣂⣐⣒⣀⣑⣖⣒⣒⣒⣒⣒⣒⣑⣖⣒⣊⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣀⣒⣓⣶⣷⣿⣿⣿⣺⣗⣀⣐⣀⣈⣗⣀⣸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡓⢒⠒⠒⡔⠒⣓⣒⣆⢲⠒⡒⠒⢒⢓⣖⠒⢚⡟⠛⠛⢻⢛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⢒⠒⠒⠒⠒⣻⣿⣿⣺⡗⢒⡲⠒⢒⠗⠚⢻⣿⣿⣿⣿
⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠠⡿⠬⡦⠤⢼⠀⠬⠬⢸⠥⠀⠰⠤⠭⠤⡺⠢⠭⠬⠤⠥⠠⠧⠮⠤⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣿⠠⠤⢿⠻⠿⣿⣿⣿⢼⡇⠄⠬⠀⠀⡅⠠⢸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⠯⡭⠯⠭⠹⢽⠭⠭⠽⢭⠭⠭⠭⠩⠭⠭⢭⠭⠭⠭⠭⠭⠭⡭⠭⠽⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⠭⠭⠽⢭⠭⢭⣽⣿⢽⡯⡭⢭⠭⠭⡿⠭⢽⣿⣿⣿⣿
⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣉⢶⣑⣄⣈⣱⣀⠙⣘⣰⢂⣈⠠⢀⣓⣉⣅⢄⢂⣐⣀⣂⣁⢇⣔⣈⣹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⢙⣊⢞⣉⢁⣈⣙⣿⣹⡇⡂⣓⠀⠀⣇⡐⢺⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣓⣖⣓⣖⣚⢲⣲⣒⣚⣲⣒⣒⣒⣒⢒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣚⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣛⣒⣒⣞⣓⣚⣛⣿⣺⣗⣒⣒⣒⣒⣗⣒⣺⣿⣿⣿⣿
⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠓⣤⠣⡄⠘⢢⠀⠲⠸⢠⠄⠐⢀⠀⠦⠂⠂⡀⠄⠠⠀⠄⠃⡆⡠⠘⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣒⠠⠣⣤⡀⢠⣤⣿⢺⡇⠅⠮⠀⠀⡇⠂⢸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⠍⡭⠭⠩⠭⠭⠽⠭⠽⡭⠯⡭⢯⠭⢹⠽⠭⡭⠽⠭⠭⡭⠭⠩⠭⠭⠿⠿⣿⣿⣿⣿⣿⣿⣿⡯⣿⠭⢭⢭⠭⠯⠿⠿⣿⢽⡯⡭⢭⠭⠭⡯⠭⢽⣿⣿⣿⣿
⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣉⣷⣙⣆⠀⣰⣀⢐⣒⠹⢋⣁⣩⣈⢓⢈⣀⣄⣛⣐⢈⣃⣁⣆⢔⣀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⢍⣘⣀⡀⣂⣓⣰⣿⣹⡇⡂⣓⠀⠀⣇⡁⢸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣓⣖⣓⣖⣚⢲⣲⣒⣚⣲⣒⣒⣒⣒⢒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣚⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣒⣒⣲⣓⣒⣒⣿⣿⣺⣗⣒⣒⣒⣒⣗⣒⣺⣿⣿⣿⣿
⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣦⠳⡄⠦⢠⠘⠢⠤⢲⠼⠀⢀⠐⠤⠀⣢⡚⠦⠠⠀⠄⠀⡄⡧⠂⢠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⡒⠠⣇⠤⡤⠄⣤⣿⢺⡇⠅⠮⠀⠀⡇⠀⢺⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⠯⣭⠯⠭⡽⠤⡭⠭⠼⡭⠤⠬⠭⠭⢭⠮⠬⠭⠭⠭⠭⠭⠭⠭⠭⠼⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⠭⠥⡯⠭⠥⠭⣭⣿⢽⡧⠥⠭⠤⠤⡯⠥⢼⣿⣿⣿⣿
⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣍⢏⡉⣉⢯⠉⢉⣩⢍⣏⠉⠉⠉⣉⢹⠍⠌⣩⢉⠉⡉⢉⡉⣹⠨⢁⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⢍⢉⢹⡥⢈⣉⣿⣿⢽⡏⡋⣝⠉⠉⡏⠍⢽⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣙⣖⣓⣖⣚⣲⣀⣒⣚⣰⣒⣀⣐⣒⣒⣓⣑⣐⣒⣒⣒⣒⣓⣓⣒⣚⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣒⣋⣖⣒⣊⣛⣛⣿⣺⣇⣂⣒⣀⣀⣗⣃⣹⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡒⣗⠒⡗⠒⢸⡚⠒⣒⢺⠒⠒⢒⠒⠐⡒⠒⡒⠒⠒⠒⠒⠒⡖⡒⠒⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⡒⠒⣖⠓⠒⠒⠺⣿⣺⡗⠖⡲⠒⠒⡗⡒⢺⣿⣿⣿⣿
⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⠻⡬⠯⡭⠽⢤⠈⠭⠼⢩⠤⠀⠠⠭⠬⠤⠢⠩⠬⠤⠭⠬⠯⠯⠤⠼⢿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣿⠬⠥⡏⠭⠥⠬⠬⣿⢼⡇⠀⠭⠀⠠⡥⠄⢸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡿⠿⠿⠿⠿⠿⡿⠿⠭⠯⠭⠯⠭⠹⡽⢭⠭⢽⣭⣭⣭⣭⣩⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣽⣿⣿⣿⣿⣿⣿⣿⡯⣿⠭⠭⠯⠭⠭⣭⣭⣿⢽⡯⠭⠭⠭⠭⡿⠽⢿⣿⣿⣿⣿
⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⢿⣁⡗⣈⣁⠐⢀⣐⣗⣏⣀⣒⣂⣒⢒⣐⣗⣒⣂⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⢃⣚⣂⢀⣂⣻⣿⣿⣹⣇⠈⢀⠀⠨⣏⢉⢸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣖⣓⣒⣒⢒⣒⣖⣓⡒⣒⣒⣒⣒⣒⣖⣓⣒⣲⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣒⣒⣚⣶⣒⣿⣿⣿⣺⣗⣒⣒⣒⣒⣗⣲⣺⣿⣿⣿⣿
⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣦⠣⡴⠂⠠⠤⠀⠣⡴⡄⠤⠤⠄⠤⠤⠣⡬⠤⠜⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⠠⠠⠧⣖⠠⣿⣿⣿⢺⡇⠐⠀⠀⢐⡇⠆⢺⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⠯⡥⠭⠭⠤⠬⠯⡭⠭⠭⠭⠭⠭⠬⠯⡭⠭⠽⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⠬⠭⢤⡬⠯⣿⣿⣿⢽⣯⠤⠬⠤⡤⢯⠥⢼⣿⣿⣿⣿
⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⢿⡿⠿⢍⣏⠩⢍⣈⡉⣩⣏⡥⣉⣉⢉⣉⣉⡉⣏⣙⣉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⢍⢉⣉⢉⣉⣹⣿⣿⢽⡏⠩⠉⠉⠩⡟⠭⢹⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣑⣖⣂⣒⣒⣀⣑⣖⣒⣒⣒⣒⣒⣒⣑⣖⣒⣚⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣙⣐⣺⣐⣿⣿⣿⣿⣺⣗⣀⣐⣀⣈⣗⣂⣸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⡟⢛⡒⠓⠒⠒⡖⢐⠒⠓⠒⠂⠒⠒⡖⠲⠒⢳⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⡒⠒⠒⠒⢒⢒⣿⣿⣺⡗⠒⠒⠒⢒⡟⠒⢺⣿⣿⣿⣿
⣿⣿⣾⣿⣿⣿⣿⣿⠻⡬⠇⠤⠬⠉⠤⢬⠯⠥⠭⣭⣥⣭⣭⣬⣯⣭⣥⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣿⠪⠭⡼⠬⠭⠿⣿⣿⢼⡧⠄⠨⠀⠐⡯⠅⢸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⠯⠭⠭⠭⠩⠭⠽⠭⠭⠭⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⠭⠭⠭⢯⠭⠽⢿⣿⢽⡯⠭⢭⠭⠭⣯⠭⢽⣿⣿⣿⣿
⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣶⣐⢆⡒⣒⣒⣒⣐⣲⣒⣂⡈⣙⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⠵⣒⢚⣎⣒⣒⣸⣿⣹⡇⠈⣑⠀⠈⡂⢍⣸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣓⣶⣒⣒⢒⣒⣚⣒⣒⣒⣒⣒⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣒⣚⣒⣳⣚⣛⣻⣿⣺⣗⣒⣒⣒⣒⣷⣒⣺⣿⣿⣿⣿
⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣦⠣⡄⠤⠤⠤⠤⠰⢤⠤⠆⠀⠠⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⠠⠤⢤⢠⠸⠿⢿⣿⢺⡇⠂⠮⠀⠐⡇⠀⢸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⠧⣭⠭⠭⠭⠭⠽⠭⠥⠭⠭⠭⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⡬⢯⠬⠭⢭⣭⣿⣿⢽⡧⠤⠭⠤⠤⡧⠬⢽⣿⣿⣿⣿
⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⢏⡉⣈⣉⣉⣉⢩⣉⣉⡍⠉⢉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⢍⢉⢡⣹⣉⣉⣹⣿⢽⡏⠉⢉⠉⠉⡏⠉⢹⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣒⣓⣒⣲⣐⣒⣒⣾⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣜⣳⣒⣂⣲⣶⣿⣿⣺⣗⣀⣀⣂⣂⣗⣂⣸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⡟⢛⡓⠒⠒⠒⢲⠖⣒⠂⣷⣶⣶⣶⣾⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⠓⡚⡗⠒⠒⠚⣿⣿⣺⡗⠒⠓⠒⢒⣗⡓⢺⣿⣿⣿⣿
⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⠢⡤⠄⠭⠬⠙⠤⢿⠬⠯⠤⣬⣥⣬⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣿⠨⢬⢩⡨⠭⠤⠥⣿⢼⡧⠀⠩⠀⠀⡭⠌⢹⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠭⡯⠭⠭⠭⠩⠭⢽⡭⠭⠭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⠭⠭⠽⠯⠭⢿⣿⣿⢽⡯⠭⠭⠭⠭⡯⢭⢽⣿⣿⣿⣿
⣿⣿⣽⣿⣿⣿⣿⣿⣿⣝⢑⡑⡊⡇⣒⡒⣐⣈⡄⣉⠦⡫⢻⢛⣛⣻⣹⣋⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⢓⣒⠂⣘⣂⣚⣻⣿⣹⡇⠀⣐⠀⢈⡃⢁⣸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣛⣶⣒⣒⣒⣒⣒⣒⣒⣲⣒⣚⣲⣓⣒⣦⡓⣓⣗⣚⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣒⣚⣒⣒⣛⣛⣿⣿⣺⣗⣒⣒⣒⣒⣷⣲⣲⣿⣿⣿⣿
⣿⣿⣻⣿⣿⣿⣿⣿⣿⠢⡇⠐⠢⠤⠀⠠⢸⠥⠦⠤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⠀⡼⢴⠠⠤⣿⣿⣿⢺⡯⠅⠀⠀⢐⡇⠐⢸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⠯⡥⠭⠭⠤⠭⠽⢭⠭⠭⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⠭⠯⠭⠭⠽⣿⣿⣿⢽⣯⠤⠬⠤⡤⠯⢥⢼⣿⣿⣿⣿
⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣍⢏⣩⠍⢈⣉⠉⢹⢋⣭⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⢍⣉⢯⢉⣹⣿⣿⣿⢽⡏⠍⠉⠉⠩⣭⠍⢹⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣑⣖⣂⣒⣒⣀⣚⣲⣒⣒⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣑⣒⣈⣐⣖⣿⣿⣿⣺⣗⣒⣐⣀⣈⣗⣒⣺⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⡟⢒⡓⠒⠒⠒⢰⠖⣚⠒⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⡲⠒⠺⠒⠒⢺⣿⣿⢺⡗⡒⠒⠒⢒⡓⠓⢺⣿⣿⣿⣿
⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠨⡯⠄⠬⠭⠀⠬⢼⠭⠭⠭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣿⠨⠭⢤⠨⠯⠿⠿⣿⢼⡇⠂⠀⠀⠐⠧⠄⢸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⠯⡭⠭⠭⠩⠭⠽⢭⡭⠭⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⠭⠭⠽⠭⠭⣭⣿⣿⢽⡿⠭⠯⠭⠯⠯⠭⢿⣿⣿⣿⣿
⣿⣿⢽⣿⣿⣿⢿⣿⣿⣿⢿⣿⢿⢷⣑⣞⣁⣐⣒⣀⣚⣲⣛⣒⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣓⣺⣐⣒⣒⣿⣿⣿⢸⣇⣅⣀⣀⣨⣁⣂⣸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⡖⢓⡒⠒⠒⠐⢲⠞⣒⠲⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⡓⠒⢳⣒⠒⠛⣿⣿⢺⡟⢒⠓⠒⠓⡟⢖⢺⣿⣿⣿⣿
⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠨⡯⠄⠬⠭⠀⠭⢽⠭⠭⠭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣿⠌⠭⡽⠌⠭⠭⣭⣿⢼⡧⠦⠠⠀⠐⡦⠅⢼⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡭⠯⠭⠭⠭⠩⢭⡽⠭⢭⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⠭⠭⠽⠭⢭⣽⣿⣿⢽⡯⠭⠭⠭⠭⡿⡭⢽⣿⣿⣿⣿
⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢑⣞⡁⣐⣒⠀⣚⣲⣛⣒⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⢃⣒⢒⣐⢚⣙⣻⣿⣸⣇⣀⢀⠀⠨⣇⡂⢸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣓⣖⣒⣒⣒⢒⣚⣲⣒⣒⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣓⣒⣶⣾⣷⣾⣿⣿⣺⣗⣒⣒⣒⣒⣗⣒⣺⣿⣿⣿⣿
⣿⣿⣻⣿⣿⣿⣿⣿⠢⡧⠐⠢⠤⠀⠤⢼⠥⠦⠤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⠢⠄⢯⠤⢿⠿⠻⣿⢸⡯⠅⠀⠀⢐⡏⠔⢸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⠯⡥⠭⠭⠤⠭⠽⢭⠭⠭⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⠼⠭⠭⠯⠉⣽⣿⣿⢽⡯⠭⠬⠤⠤⣯⠥⢼⣿⣿⣿⣿
⣿⣿⢿⣿⣿⣿⣿⣿⢍⣏⠩⢍⣉⠉⣉⣸⣋⣍⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⢉⣍⣩⡉⢉⣹⣿⣿⢹⡟⠋⢁⠉⠩⡏⡉⢹⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣐⣗⣂⣒⣒⣀⣒⣺⣒⣒⣒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣐⣒⣲⣙⣒⣛⣛⣿⣺⣗⣀⣐⣀⣈⣇⣂⣸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡓⡖⢒⡒⠐⠒⠚⢲⠖⣒⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⡒⢒⢒⡒⠒⠒⠺⣿⢺⡗⠒⠃⠒⢒⡟⡒⢺⣿⣿⣿⣿
⣿⣿⣾⣿⣿⣿⣿⣿⠻⡿⠟⠬⠯⠀⠬⢭⠤⠭⠽⣭⣭⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣿⠬⠭⢽⠤⠥⣿⣿⣿⢼⡧⠀⠨⠀⠐⡧⠅⢸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣭⠯⡭⠭⠭⠩⠭⠽⢭⡭⠍⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⠭⠭⠭⠯⠭⠽⢿⣿⢽⡯⡭⠏⠭⠭⡯⠽⢿⣿⣿⣿⣿
⣿⣿⣽⣿⣿⣿⣿⣿⣿⣑⢗⣈⡑⣒⣀⢒⣺⣒⣓⣒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣓⣂⡲⣞⣢⣰⣾⣿⣸⡇⡂⠐⣀⣨⡇⣃⣸⣿⣿⣿⣿
⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠉⠀⠀⠀⠉⠀⠈⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠉⠈⠀⠀⠀⠁⠈⠉⠉⠈⠁⠁⠀⠀⠉⠁⠀⠈⠉⠉⠉⠉
⣿⣿⣿⣿⣿⠿⣿⡿⢿⠿⣿⡿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⡿⠿⡿⠿⠿⠿⠿⠿⠿⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⢿⠿⣿⡿⣿⣿⣿⡿⠿⣿⠿⠿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡯⣿⣷⣿⡇⢿⣴⣌⡟⣿⣷⠀⠀⠀⠀⠀⠀⠀⢠⣄⣴⡆⠒⡼⢿⣿⣿⣿⣿⣿⣏⣹⠀⠐⠀⠀⠠⣂⣤⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⢸⠀⢻⡇⢿⣈⣿⡇⢬⢾⢿⣿⣾⣿⣿⣿⣿⣿
⣿⣿⣿⣧⣿⣟⠤⠀⠶⣼⣿⡟⠙⢿⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣦⣼⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢀⠸⠏⡃⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡁⠀⠀⠀⠉⠀⢸⠀⢸⡇⢹⣻⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣀⡀⠀⡏⡷⠬⣿⣷⣶⣾⣶⣶⣤⣤⣤⣤⣤⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣤⣤⣤⣤⣤⣩⣦⡇⣀⠀⠉⠙⠛⠿⠉⢿⣿⣿⣯⣭⣤⣤⣤⣿⣤⣼⣤⣼⡇⢘⣿⣿⡧⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣫⢽⣷⣤⣴⣴⣤⣴⣴⣴⣭⣭⣭⣿⣯⣭⣭⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣭⣭⣭⡅⠀⣀⣀⣤⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢥⡤⠀⠀⠀⠤⢤⣤⣤⣤⣤⠄⠀⠇⠻⠁⠼⠟⠟⣻⢛⢛⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡧⡴⣿⠽⣿⡿⡿⡿⢿⢛⠻⠿⢛⡟⡻⡛⣛⡿⢻⠛⠛⠿⡟⣛⡟⢻⡿⢻⢻⢛⣻⠩⢛⠩⣿⣿⡶⠠⠐⣠⠀⢰⠀⠰⢄⣤⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠸⠇⢹⡂⢐⡂⣢⣀⠠⣀⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠏⡀⢿⡇⠁⠃⠀⠈⠨⠁⠙⣃⠀⠇⣽⡿⠀⠁⠀⢀⣗⣒⡇⢈⣥⢠⠈⠐⢻⠰⠹⠨⣿⣾⠿⢋⡀⢿⣆⡀⠀⠺⠿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠢⠅⠘⠛⠋⠝⠟⣿⣿⣿⣿⣿
⣿⣿⣿⡿⠿⠀⠃⣾⠓⠀⢄⣁⣀⠀⣤⣤⡄⠀⠛⣺⣆⣀⡓⠀⣾⡀⠜⠛⢿⣿⣰⣿⣾⣶⡾⣿⣾⣶⣿⣷⣿⣡⣄⣙⣈⢋⣀⡀⠠⠀⡆⠀⠀⢀⠀⠀⠀⡀⠀⠀⠀⠠⢧⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿⣿
⣿⣿⣿⡏⠀⠀⢀⠈⠁⣠⣾⣦⣭⣤⡄⠾⢓⣸⡇⣿⣿⣿⡿⣠⣿⣆⣸⣿⣿⠁⢹⡿⠿⡿⠓⠻⠿⣿⣿⣿⢃⢹⣿⣿⣿⣿⣿⣷⣶⣾⣾⠷⢸⣺⣾⣿⣿⣿⣿⣿⣿⣿⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿
⣿⣿⣿⡇⠀⠀⠀⠐⠈⠙⠋⠉⠙⠛⠁⠀⠒⠀⠁⠈⠚⠃⠀⠈⠈⠁⠊⠙⠂⠀⠀⠐⠂⠒⠐⠂⠀⠛⠛⠛⠚⠸⠛⢿⣔⠈⠁⣈⡉⠉⠋⠁⠀⠉⠛⠈⠉⠉⠉⠻⠟⠻⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿
⣿⣿⣿⡇⠀⠀⢀⢵⠺⡀⠀⠀⢸⣉⣬⣼⣿⣭⣿⣿⣿⣦⣽⣥⣆⣩⣷⢷⣶⡤⢠⣷⢿⣿⠟⢛⡺⢾⣾⣿⢟⣼⣿⣿⣿⡿⣾⣿⣿⣿⡇⣦⢸⣿⣟⣠⢰⣶⣾⣿⣿⣛⡥⢣⢠⢡⠥⢏⣭⡃⠀⠀⠀⠀⣿⣿⣿⣿
⣿⣿⣿⡇⠀⣠⡖⠋⠠⠁⠀⢡⣿⣽⣿⣗⣻⣿⣻⡿⣿⡿⠿⣿⣿⣿⣿⢾⣿⣿⣼⣿⣾⣯⣤⣼⣿⣿⣿⡿⣿⣿⣿⡍⣭⡍⣿⣿⣿⣿⡿⠍⣾⣿⡏⣿⠼⢿⣿⣿⣿⣿⣿⣷⣅⡈⢾⢷⢬⡇⣄⠀⣬⣔⣿⣿⣿⣿
⣿⣿⣿⡇⠈⠙⠂⢀⠀⠀⢀⡈⣉⡉⣉⣭⣉⡭⢡⣷⠐⠀⠀⠀⠙⠿⢿⣿⡿⡟⡟⡯⡭⣿⠿⢿⡿⣿⣿⣿⣶⣴⣤⣷⣽⣷⣶⣯⣟⢯⣿⠼⢿⣿⡀⠾⠶⠶⢾⠿⠾⠶⣿⣽⣿⣧⡂⣼⣿⣷⣞⡽⡻⣿⣿⣿⣿⣿
⣿⣿⣿⡇⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⡀⠤⠀⠀⢶⣶⣭⣍⣩⣶⣽⣧⠀⢸⢀⣀⣀⡇⠁⣿⢾⣿⣿⣻⣿⣿⣿⣻⣶⣬⣾⣶⣤⡆⡆⠀⣤⣸⠀⠀⠀⣿⣿⣿⣿⣦⣿⣿⣿⣿⣯⢇⣿⣿⣿⣿⣿
⣿⣿⣿⡇⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⡥⠋⡀⢠⠔⠔⠟⠙⢿⣿⣿⣿⣿⠀⢸⣈⣹⣟⡇⠀⣿⣿⡛⢿⣿⣿⣿⢀⡸⣿⣿⣿⣿⣿⡇⠁⠀⣴⣼⡀⠀⠀⣿⣿⣜⢿⣿⣿⣿⣟⠿⢟⢋⣿⣿⣿⣿⣿
⣿⣿⣿⡇⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⢘⠃⠐⠇⠄⠀⠀⠀⠀⠀⠀⠃⠉⢹⣿⣿⠀⢸⣭⢫⠭⡗⢣⣿⣿⣶⠻⠿⢯⢝⢭⡓⢾⣿⣇⠀⠀⠁⠀⠀⠀⠀⠀⢰⠀⠿⡏⠻⣷⣈⡛⣛⣉⠁⠀⢾⣿⣿⣿⣿⣿
⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢸⠀⠀⠀⠀⠀⠁⠀⠀⢠⡀⡀⠀⠈⣿⣿⢠⢸⠅⡀⠀⡇⠠⣿⣿⣟⠦⠂⠀⠀⠢⠩⣏⢘⣿⠀⠀⢀⠀⠀⡇⠀⠀⢸⠀⢹⣇⣸⣿⣻⠩⠻⠯⠆⠀⣟⡛⣿⣿⣿⣿
⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠄⠀⠀⠀⠀⠠⡅⠈⠒⢠⢸⡿⠀⠀⠀⠀⠀⠁⠀⣿⡿⠏⠹⠄⠀⠀⠀⠈⠳⠒⡻⠖⠲⠺⠀⠀⡅⠀⠀⠸⠀⢸⣏⠛⣭⠁⠀⠁⠀⠠⣸⠟⡴⣿⣿⣿⣿
⣿⣿⣿⡇⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠄⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠿⠈⠀⠀⠄⠤⠥⠤⠠⠀⠈⠁⢷⠁⠁⢐⠀⠀⠀⠀⢀⡰⡆⠈⠀⠆⠀⠈⠃⠉⠀⠃⠈⠩⢰⠁⠀⠀⠐⠒⠐⠟⣻⢀⣿⣿⣿⣿
⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣶⣶⣶⣾⣶⣶⣶⣶⣶⣶⣶⣶⣷⣶⣶⣶⣶⣶⣾⣶⣶⣶⣿⣿⣿⣿⣿
⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣍⠻⢿⣿⣿⡖⠈⠛⢻⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠐⣿⣿⠋⣠⣶⣿⣿⠀⠀⣿⣿⣿⣿⣿
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⡿⢃⣴⣿⢻⡇⠀⠀⠀⠈⠙⢿⣿⣿⡇⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⠀⣴⣿⣿⣿⣿⣟⣋⣻⠀⠀⣿⣿⣿⣿⠉
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡷⠖⢺⣿⣿⣿⡷⠏⡏⠉⠉⠀⠀⢸⠀⠀⠀⠀⠹⢿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡼⢻⣿⣿⣛⠿⠇⠶⣿⠀⠀⣻⣿⣿⠏⠀
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠁⠐⣿⡿⠁⠀⠀⠀⢸⠀⠀⠈⣹⣧⣤⣶
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣯⣿⣶⣿⠞⠁⣿⠿⢛⣿⣿⣿⣿⣿⣁⡤⢾⣿⠀⠆⠸⠴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⢰⣿⣿⣿⡀⠀⢀⣼⠀⠀⢰⣿⣿⡿⠛
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⢿⣿⡿⣿⣴⡞⡟⣣⣿⣿⣿⣿⣿⣿⡁⢠⡟⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⣿⣿⣿⣶⣿⡤⢽⠀⠀⣿⣿⣿⣿⣾
⢸⣿⣧⣩⣟⣿⣿⣿⣿⣟⠀⠀⣿⣿⣿⣟⣧⡔⣩⣶⣿⠏⠀⣿⣿⣿⣿⣿⠿⣷⠿⣃⢴⣷⣿⣶⣦⡂⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⠀⢈⣿⣿⣿⣷⣿⠖⢸⠀⠀⣿⣿⣿⣿⣿
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣏⢀⡀⡿⢯⡯⠭⣿⠅⣽⡿⣿⠀⠀⡿⣿⣿⣯⠷⢼⣿⣾⣥⣼⣿⣿⣿⣿⣻⣷⣦⣄⠀⠀⠀⠀⢀⣀⠀⣀⠀⠀⠀⠀⠀⠀⠘⠻⡟⠛⠻⠿⠿⠒⢹⣿⣯⣾⠟⠁⠀⢸⠀⠀⣿⣿⣿⣌⠋
⢸⣿⣿⣿⣿⣿⣿⣿⢿⡏⠀⠀⣾⡿⢻⣸⣿⢿⢟⣧⣸⠀⠀⣿⣮⣿⣷⣾⣿⣿⣿⣁⣉⣘⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣛⣻⠿⠿⠿⢿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠂⢠⣴⣿⠀⠀⣽⣿⣿⣿⣾
⢸⣿⣿⣿⣿⣿⣿⡟⠛⡇⠀⠀⣣⢀⣴⣿⣿⠀⠾⣿⢿⠀⠀⠿⡿⣽⣿⡅⣾⣿⠿⠉⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠈⠉⠑⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⣿⣿⣿⣿⣿
⢼⣿⣿⣿⣿⣭⣭⢀⣶⡇⠀⠀⣿⣾⣷⡏⠛⡀⣿⣀⠀⠀⠀⣾⡿⣯⣿⢿⣟⣽⣿⠀⠀⠠⢛⢡⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣶⣯⡄⠀⠀⠈⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢨⣾⡟⠙
⣿⡟⣛⣿⣟⣻⠟⢀⣾⡇⠀⠀⠿⣿⣿⡇⠠⡤⢙⠿⡀⠀⠀⣿⣿⡼⣷⡸⣿⣿⣿⠀⠀⢀⠘⠩⠶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⡀⠀⠀⠀⠀⠙⢧⡀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢇⡀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⡿⠃⠈⠙⠟⠀⠀⠀⠐⣿⢟⣵⣿⣿⡇⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠉⠻⡇⣶⣯⠝⠁⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⣦⣀⡽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⠂⠀⠀⠣⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⢟⣽⣿⣿⣿⣡⡴⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⠂⠀⠁⢺⣿⣿⣷⠀⠂⠀⡀⠀⠀⠢⠀⢹⣿⣿⣿⢟⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠕⠀⠂⠄⣿⣿⣿⣿⣶⡇⡆⠁⠀⠀⠀⠀⠈⣝⠻⢏⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⢀⣰⡇⣿⣿⣿⣿⠙⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠛⠛⠛⠻⠿⠧⠿⠿⣿⣿⣷⠃⠀⢰⣶⣾⠁⠀⠀⢤⡀⠘⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣦⣬⣥⠀⢸⠋⠁⠀⡀⢠⢤⡄⡀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣸⣿⡀⠘⣶⡿⠃⠀⢸⢻⣆⣧⣷⡽⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠁⢀⣩⠭⠽⠷⢿⣿⣉⣁⠠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⢿⣿⣿⣿⣿⣟
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠓⠒⠚⠛⠂⠀⠀⠀⠀⠀⠠⠤⠷⠿⣿⣻⣽⠿⠛⠋⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⠀⣾⡿⢟⢫⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠻⠻⣿⡆⠀⠀⠀⠀⣶⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠐⠾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠟⠛⠉⠜⡫⠀⠀⣾⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⢰⠀⢰⣿⣿⡇⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⣤⠍⠙⣛⣻⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠉⠀⠀⣸⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠀⠰⠉⠀⣼⣿⣿⠧⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠎⠭⢽⠻⠿⣿⢿⢿⣷⠆⠀⢠⣣⡼⠀⠀⠀⠀⢈⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⢶⣀⣀⣉⡛⠃⠀⠀⠾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⢀⣀⣀⠀⠀⠀⠀⠀⠀⠈⠉⠩⠁⠀⠙⠉⠀⠀⠚⠉⠀⠀⠀⠐⠀⢸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣷⣶⣮⣭⣔⣒⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⣴⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡿⣿⣛⣯⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣿⣿⣿⣿⣿⣿⣿⣿⠟⢋⣠⠀⠀⠀⠀⢀⡼⠞⠁⠀⠻⠁⠀⠿⠿⢿⣿⣿⣿
⣿⣿⠿⠟⣿⣽⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢿⣿⣿⣿⣿⣿⠿⠋⣠⣴⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿
⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠋⠁⠐⠿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⡀⠀⠀⣾⣦⡀⠀⠙⠛⠛⠛⠛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠀⠀⠀⠀⠀⠀⢠⠁⠀⢠⣤⣤⣄⡀⠀⠀⡀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣶⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⣸⣿⣿⣿⠀⠀⣸⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⡇⠀⣾⣷⣆⠀⠀⢰⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠰⠀⣿⣿⣿⡇⠀⠠⠿⠿⠿⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣤⣈⠙⠁⠰⣿⣿⣿⠀⠀⢸⣿⠇⠀⠀⣤⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⢀⣇⣼⣿⣿⣿⠀⠀⣤⣤⣤⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠞⠁⠠⠀⠀⠀⣾⣿⣿⣷⢠⠇⠀⠀⢀⣤⡀⠀⠀⠀⠁⠀⠀⠀⠀⣹⣿⣿⠏⠚⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣼⠀⡄⣴⡆⣿⣿⣿⣿⡎⢆⣠⣤⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠝⢻⢃⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠗⠁⠀⠀⠀⠀⣬⣿⣿⣿⣿⣿⣿⠆⣤⡀⠀⠀⠀⠀⠀⠁⣸⣄⡀⠀⢀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡖⣤⢠⣶⡆⣿⣏⣉⡉⠭⠭⣙⣛⡻⠇⠀⠄⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⣿⣿⣿⣿⣿⣿⣿⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣇⠬⠈⠉⠙⣿⣿⣿⣿⡿⣶⣦⡬⣉⠓⠀⠀⠀⠀⠀⠀⠛⢿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠻⠋⠁⠀⠀⠉⠉⠛⠛⠉⠙⠻⠿⣹⣤⣠⣶⡄⢶⠽⡿⣿⣟⢀⡞⡇⡜⠉⠉⠀⠀⠀⠈⠩⠻⣷⣾⣿⣿⡿⠿⠃⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠹⠿⠿⠿⠿⠛⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠷⣾⣿⣿⣿⣿⣿⣿⣿⠿⠷⠶⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠀⠀⠀⠀⢸⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿
⠿⠟⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣴⣶⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠠⣀⣀⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⢿⠀⠀⠠⠴⠿⠽⠛⠛⠛⠛
⣽⣿⣿⣷⣶⣦⣬⣍⣙⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⡤⠄⠀⠐⠒⠒⠀⠈⣹
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⠀⠉⠉⠛⠛⠻⠿⢿⣿⣿⣿⣿⣷⣶⣶⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠠⡤⠤⠀⠲⠒⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⢀⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠋⠙⠀⠈⠀⠀⠀⠈⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡪⠀⠀⠀⠀⠠⢼⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⣤⠀⠀⠀⠀⢀⣠⡀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢔⢄⠀⠐⠕⢄⠀⠀⠐⠀⠀⠀⠁⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣂⠈⠉⠭⠁⠀⠀⠁⣽⣿
⣿⣿⣿⣿⣿⣿⣿⢿⣽⣿⣿⣿⣿⣿⠀⠀⠀⠀⠒⠛⠓⢋⣭⢩⠦⣠⠀⠀⠠⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⡑⢁⣀⡀⠱⠤⠄⠲⣲⣂⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣂⡀⠀⠀⣿⣿
⣿⣿⡿⣿⣿⢿⣿⡀⢈⣺⣿⣿⣿⣿⠀⠀⠀⠀⡆⠓⠏⠉⠂⠉⠁⠁⠀⠀⢀⣘⣿⣯⡅⠀⠀⠀⠀⠀⠈⠁⠐⢨⠉⠭⠤⠐⠒⠂⠉⢍⠀⠀⠀⠄⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠒⠀⢹⣿⡿
⣿⣿⣿⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠊⠂⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠈⠨⠭⠀⠦⠲⠶⠄⠀⠀⢰⣾⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠻⠿⠟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣂⣀⣀⠤⣀⣤⡂⡆⣿⣤⢻⣿⣶⣾⣟⠧⠀⣀⡤⡄⠅⠀⡀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡿⢠⢟⠝⠳⣇⢹⠝⢴⡾⡧⡷⣿⠟⢻⣃⣼⡇⠉⡊⣴⡋⢄⣽⠄⢀⠔⠃⢠⠀⠀⠀⠀⠀⠀⠀⠐⠀⢀⣿⣿⢿⡫⣿⣟⣿⣿⠙⣻
⠤⠤⠄⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠉⠀⢀⣸⣿⣿⣿⢿⣿⠟⣸⢿⣿⣦⣬⡏⠙⢃⡺⡞⢕⡄⣻⣀⡽⣿⢷⡧⣄⣜⢞⣆⢚⡋⣀⡦⠾⠧⠆⠤⠐⠠⠒⠀⣀⣴⣦⣤⣞⣿⢹⣿⣧⣮⡹⠙⠃⣭⣭
⠀⠀⠀⠀⠀⠀⢀⣀⢀⡀⠤⣠⣴⣦⣶⣿⣷⣿⣿⡆⠀⠸⣿⣿⡿⡏⠚⢁⡐⢷⣾⣿⣻⣞⠈⢀⡔⠩⢆⡘⠻⣽⡿⡈⣹⠟⣉⡊⡴⢾⠟⣓⡘⡥⠴⠧⢝⡍⡐⠀⠀⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣭⣵⣿⣛⣻
⣴⣶⣶⣿⣿⣾⣿⣿⣿⣷⠀⢻⣿⣿⣿⣿⣿⣿⣻⡶⠀⠀⠘⣿⣧⡜⡀⠀⢔⣯⢛⠉⠁⣠⡦⡠⠐⠙⡩⢺⣋⣕⡳⠞⠛⢥⡨⠩⠁⣑⣷⠦⢆⠠⠤⣌⠡⡼⣀⣤⣄⠈⠑⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⣿⣿⣿⣿⣿⣿⣻⡓⠐⠀⢀⡟⠃⡀⠴⡈⠙⠱⡩⠾⠉⠉⡀⠀⠉⡊⠄⠀⢉⣲⢤⣎⡭⡃⠈⠄⠈⢻⣿⣿⡂⢦⠀⡈⣾⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠘⣿⣿⣿⣿⣿⣿⣯⠀⡀⢈⠃⢀⠀⠣⡀⠀⠁⠁⠀⠀⠀⠀⠩⠒⠓⢿⣿⠿⣊⣏⣾⠠⠂⢈⢻⣿⣿⡋⠩⣉⠑⠆⢀⠉⠻⣛⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⢹⣿⣿⣿⠟⠏⠋⠀⠀⠨⠑⠈⠀⠀⠀⠁⠀⠀⣨⠀⢐⣔⣨⡀⣻⣎⠙⡙⠽⢧⡊⠀⠶⡷⣺⢿⣿⣿⣦⣴⣶⡦⣴⣷⣶⣶⣆⣄⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠀⠀⠀⠙⠛⠓⠀⠀⠀⠀⠀⠀⠀⠈⠉⠄⢀⠀⠀⡈⣀⠐⣊⠹⣲⣿⣯⣿⣿⣿⣁⡸⢿⣶⣈⣅⣽⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠁⠀⠀⠀⠀⢠⣶⣦⣤⣠⣴⣞⠁⠀⠀⠀⠘⠀⢓⢿⣦⣄⣄⠀⠀⢸⢭⣿⣿⣿⠿⠆⠀⢿⣿⣿⡛⢫⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡿⠟⢛⣉⣤⣴⣦⣄⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣐⠀⠲⠀⢀⠀⠉⢻⣷⣿⣟⡢⠄⣾⣾⣿⣾⣥⣾⣿⣶⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣷⣼⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣥⣽⣾⣿⣾⣷⣶⣿⣷⣾⡿⢲⣷⣻⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠸⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢠⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡶⢶⡶⠶⠶⠶⠶⠶⢶⠶⠶⠶⠶⢶⠶⠶⠶⢶⠶⠶⠶⡶⢶⢶⣶⠶⠶⠶⠶⠶⠶⢶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢶⡄
⢸⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⣶⣷⣶⣶⣷⣶⣾⡾⣿⣶⣷⣶⣾⣷⣾⣶⣶⣷⣶⣶⣶⣶⣾⣿⣶⣶⣶⣶⣾⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⢸⣴⣶⣼⣧⣧⣬⣿⣽⣤⣤⣿⣦⣦⣤⣷⣾⣧⣧⣤⣦⣤⣤⣤⣼⣧⣦⣼⣼⣿⣾⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⢸⣿⣿⣿⡟⢟⡿⠛⠿⣿⣿⠿⣿⣿⢟⣻⡻⠿⠟⢿⣿⢿⣿⣿⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⢸⣿⡿⢿⣿⣿⠿⢿⣿⣟⣛⣿⣿⣿⣿⣻⣻⣿⠿⢿⡿⢿⠿⡿⡿⠻⡿⡿⡿⢿⡿⢿⣿⣿⣿⡿⡿⢿⡿⣿⣿⣿⢿⣿⠿⡿⠿⢿⠿⢿⣿⣿⣿⡟⡛⣿⢟⣿⣿⣿⠛⢻⣿⣿⢻⣿⣿⠿⢻⣿⣿⠿⣿⣿⡟⢻⣿⡇
⢸⣿⣿⣿⣿⣿⣷⣿⣿⣷⣷⣿⣿⣿⣿⣷⣾⣿⣿⣿⣷⣾⣾⣿⣷⣶⣶⣶⣿⣶⣿⣿⣷⣿⣿⣿⣿⣾⣿⣿⣷⣾⣾⣿⣶⣿⣿⣾⣿⣿⣿⣿⣿⣷⣶⣿⣷⣾⣿⣿⣷⣿⣿⣷⣶⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇
⢸⣿⣽⣿⣻⣿⣏⣟⣿⣟⣛⡻⣿⣙⣻⣿⢛⣻⣻⣟⣟⣟⣿⣟⣟⣻⣙⣟⣛⣟⣿⣉⣿⣿⣛⣟⣿⣟⣿⣛⣏⣿⣏⣿⣻⣿⣻⣟⣻⣻⣿⣿⣿⣿⣿⣟⣟⣿⣿⣿⣿⣿⣿⣿⣍⣯⣻⣟⣻⣯⣛⣿⣿⣟⣿⣛⣿⡇
⠈⠉⠉⠉⠉⠉⢉⠉⢉⢉⢉⠉⠉⠉⠉⠉⠉⢹⡿⡿⣿⣿⠿⠿⡿⣿⠿⠿⡿⠿⢿⢿⠿⠿⠿⠿⡿⠿⡿⡿⢿⢿⠿⣿⠿⠿⠿⠿⡿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⣿⣿⣿⠇
⠀⠀⠀⠀⠀⠀⠉⠁⠀⠈⠁⠁⠀⠀⠀⠀⠀⢸⣿⣿⣶⣶⣿⣶⣶⣿⣶⣶⣷⣾⣿⣾⣶⣶⣶⣶⣶⣾⣿⣯⣿⣶⣾⣷⣽⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⡆
⠀⠀⠀⠀⠀⠀⠶⠐⠄⠰⠂⠠⠀⠆⠀⠀⠀⢸⣯⣫⣉⣽⣿⣟⣋⣩⣹⣝⣍⣉⣿⣉⣉⣉⣉⣏⣉⣋⣙⣽⣯⣯⣯⣯⣩⣝⣙⣍⣹⣝⣽⣝⢝⣝⣯⣽⣽⣽⣝⢽⣭⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⡿⣿⣿⡁
⠀⠀⠀⠀⠀⠀⢀⠀⢀⢀⣀⠀⠀⠀⠀⠀⠀⢸⡿⠻⢿⢿⠿⢿⢿⡿⠿⠿⠿⠟⡿⠿⠿⢿⡿⠿⠿⢟⠿⠿⣿⠿⣻⡿⡿⢿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⣟⣿⡿⠇
⠀⠀⠀⠀⠀⠀⠉⠁⠀⠈⠁⠁⠀⠀⠀⠀⠀⢸⣿⣶⣶⣾⣶⣾⣿⣿⣦⣴⣾⣿⣿⣶⣶⣾⣿⣶⣶⣾⣷⣶⣷⣷⣿⣿⣷⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⡆
⠀⠀⠀⠀⠀⠀⠶⠐⠄⠰⠀⠠⠀⠆⠀⠀⠀⢸⣯⣯⣟⣻⣉⣉⣩⣽⣽⢉⣉⣈⣈⣉⣉⣽⣽⣯⣈⣉⣽⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⡷⣿⣯⡁
⠀⠀⠀⠀⠀⠀⣀⢀⠀⢀⠀⠀⠀⡀⠀⠀⠀⢸⣿⢿⣟⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⠛⠿⣿⣿⣿⣿⢿⡿⠿⡿⠿⢿⠿⠿⣿⣿⣿⡿⣿⣿⢿⣿⣿⣿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣟⢛⣿⣿⡿⠇
⠀⠀⠀⠀⠀⠀⠉⠀⠀⠈⠀⠈⠀⠁⠀⠀⠀⢸⣿⣷⣷⣶⣾⣾⣷⣷⣶⣿⣿⣾⣾⣷⣿⣿⣾⣶⣶⣾⣶⣾⣾⣾⣿⣿⣾⣶⣽⣷⣶⣾⣶⣾⣾⣷⣷⣶⣷⣿⣿⣾⣾⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣾⣯⣿⣿⡆
⠀⠀⠀⠀⠀⠀⠴⠀⠐⠰⠖⠄⠀⠀⠀⠀⠀⢸⣟⣝⣍⣏⣉⣉⣱⣸⣈⣉⣇⣋⣍⣇⣉⣉⣙⣯⣛⣾⣉⣉⣉⣉⣈⣉⣁⣹⣟⣝⣝⣏⣝⣽⣻⣻⣋⣉⢉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣰⡿⣟⣯⡁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣻⢛⣻⣻⣟⣟⣿⣛⣿⣻⣻⢿⣿⣿⡛⣟⣻⣿⣟⠟⠛⠛⢻⠛⠛⢻⣿⡟⠛⣻⣟⠻⠻⣿⠻⠛⢻⠛⢻⠛⠛⣟⣟⣟⣻⣛⣟⣿⣻⣛⣿⣿⣿⡿⠿⡿⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠛⠈⠂⠘⠀⠐⠀⠃⠀⠀⠀⢸⡿⠛⠛⡟⠛⠹⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣾⣟⣿⣷⡄
⠀⠀⠀⠀⠀⠀⣀⢀⠀⢀⡀⠀⠀⡀⠀⠀⠀⢸⡿⠿⢿⢿⠿⠿⠿⠿⠿⠿⢿⠿⡿⠿⡿⠿⡿⡿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⣿⣿⣿⠇
⠀⠀⠀⠀⠀⠀⠉⠀⠁⠈⠀⠈⠀⠁⠀⠀⠀⢸⣿⣶⣶⣾⣶⣶⣴⣴⣾⣶⣾⣷⣷⣶⣷⣶⣶⣶⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⡆
⠀⠀⠀⠀⠀⠀⠶⠐⠄⠰⠂⠠⠀⠆⠀⠀⠀⢸⣯⣉⣩⣿⣛⣨⣉⣈⣹⢉⣩⣽⣭⣍⣉⣉⣏⣽⣯⣯⣉⣈⣈⣉⣉⣙⣉⣉⣏⣉⣉⣉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡷⣿⣯⡁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠛⠿⠟⣿⠟⠿⡛⣿⢟⠿⣿⠿⡻⣻⠻⠻⠟⢛⢻⠿⠻⠛⠛⢻⠿⠻⢛⣿⣻⡟⣟⢟⠛⢻⣟⠻⠿⣟⢟⡿⡻⣟⡿⠟⢟⠟⢛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⠀⠀⠀⠀⠀⠀⣠⡀⠠⢠⡤⡀⠀⠀⠀⠀⠀⢸⣗⣛⣟⣟⣛⠻⢻⣿⣿⡻⡛⠛⠛⠛⠛⡟⢛⣟⢓⢟⠛⡛⠛⢟⠟⣟⣛⣟⠛⠛⡟⠛⠛⠛⡻⣿⣻⣻⣻⡿⠿⣻⠛⠓⢻⠛⠖⢻⣛⠛⣻⠛⢛⣿⣏⣉⣿⣿⣿⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣟⣿⣿⠟⠟⣿⢿⠟⠉⡛⠋⡛⡟⠛⣕⠽⠛⢻⢻⡷⣿⣿⣻⠛⠋⠛⠛⣻⣿⡛⠛⢿⢻⢿⡋⠛⠋⠛⠛⠛⢛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣷⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠷⠿⠿⠿⠿⠿⠿⠿⠾⠿⠿⠿⠷⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠛⠿⠿⠿⠇
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⣾⣦⠶⠐⠢⠦⠤⠤⠤⠇⠄⡜⣇⠼⣗⡂⡲⠢⡆⣹⢈⡏⣀⠂⠼⡠⡞⠀⠟⡓⡠⠤⠛⡍⠿⢯⠤⡉⠠⠄⡈⢰⢿⣏⠑⠉⢾⠆⣍⠍⣅⢿⠦⢨⡟⡇⠻
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠰⠀⢚⠂⠑⠠⠀⣮⣤⠨⠘⠆⠑⡔⠀⠀⠓⠁⠒⡴⢘⠓⠛⡒⠛⠂⠀⠀⠘⠀⠀⠶⢣⠁⢳⠀⠛⡶⣧⡼⠁⣠⡩⠀⠜
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠐⣶⣶⣶⣦⠀⠀⠀⢎⡰⠈⠰⠈⠉⢁⢠⡎⣲⠀⢋⠇⢀⠢⠄⠊⢽⣿⣿⡯⠡⠀⠀⠀⠀⠀⠀⠀⠑⠀⠠⠄⣰⢀⣩⣿⣇⣻⣿⣷⡀⠩
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⡧⠠⡄⠙⠀⠀⢠⡤⢶⢩⣿⠣⡗⠖⠋⠀⠠⠛⡀⠌⣿⣽⡏⠆⣤⣤⡙⠻⢠⠀⣄⠠⠿⠈⠀⢠⡘⢹⣿⣿⣿⣯⠿⣿⠇⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⢿⡇⠀⢠⣤⣄⣀⢠⣿⣿⣿⣥⣴⣧⠰⢷⢧⠃⡁⠀⠃⠁⠿⠒⠀⠀⠐⠀⠀⠄⡠⠖⠀⠀⠀⠤⠝⡛⠛⠀⠬⠴⠀⠀⢜⠃⢀⠀⠀⡉⢀⢯⣿⣿⣿⠋⠀⡆⠐
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣽⣿⣿⠟⡄⠇⠁⠁⠅⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠷⠘⡊⠓⠀⠀⠠⠃⠜⠂⠀⠀⡄⠠⠀⠀⡄⢂⠄⠀⠀⠀⠀⠀⠀⢀⡨⢀⣀⡀⠀⠎⢒⣄⠄⠰⢎⡊⢿⠻⠛⠀⠀⢉⠀
⣽⣿⣿⣿⣻⣿⣿⣿⣿⣭⣯⣡⣫⣿⣿⣷⡷⢈⠀⠄⠀⠀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣖⠍⠀⠀⠀⠐⠂⠀⠒⠂⠀⠈⠀⠀⠀⠀⠃⠉⠀⠀⠀⠀⠀⠀⠀⡊⡀⠀⠀⠂⠀⠄⠛⢁⠀⠀⠬⠇⠀⠃⠀⠀⠀⠀⠀
⣾⣷⠦⣿⣭⣿⣫⢙⢿⠿⣿⣷⢾⡿⣷⣿⣺⣯⣥⡆⢀⠀⢺⣿⣿⣿⣿⣿⡿⠿⠿⠿⢿⣤⣤⣶⣶⣶⣷⣷⣂⠀⠀⠀⠀⠀⢂⠀⠀⠀⠐⠀⠀⢀⡀⠀⣌⠑⠀⠀⠈⠈⣴⠀⠈⠒⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣎⠙⢹⡿⠟⣻⢽⡿⣾⣿⢣⡋⢙⢿⠎⣹⣿⠏⠡⠆⢼⣿⣿⣿⣿⣿⣿⣷⠀⠀⡏⢻⣿⣿⣿⣿⠿⣿⡆⠀⣁⢀⢠⠁⢇⠤⠀⠀⢀⠀⠀⣠⢂⠉⠀⠀⠈⣄⠀⠀⠀⠠⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣦⣅⣄⣼⣥⣤⣭⣵⣼⣽⣟⣨⣿⡼⡞⣶⡿⠟⠘⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⡇⢆⠳⢸⣁⣈⣿⣧⣥⣽⣿⠀⠻⡆⠠⡈⠁⠀⠸⠀⠊⢐⡊⠈⠁⡆⠀⠀⠀⣀⠀⠀⠀⠠⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⠛⣿⡿⠛⣿⣟⡛⢿⣿⣿⠟⠛⠁⠁⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡿⠛⢿⣇⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⠀⠀⠌⠀⠈⢀⠀⠀⠐⠤⠏⠄⠀⠀⠀⠀⠀⠀⡏⡀⠁⠠⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀
⣶⣾⣿⣿⣶⣦⠵⡾⣮⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣦⠀⢸⣿⡆⠀⠀⠀⠳⣤⣤⣿⣿⣯⠀⠀⠠⠠⡰⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡆⠀⣿⣿⡄⠀⠀⠀⠈⠙⣿⣿⣿⣷⣄⣀⣀⣾⣶⣤⡀⠀⠀⠀⢆⠀⠀⠀⠁⠤⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡇⠀⢻⣿⣧⠀⠀⣠⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠣⠞⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣇⠀⢸⣿⣿⡆⠀⣿⣟⠐⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠸⣿⣿⣷⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢻⢿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⣿⣿⣿⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢨⣿⣾⣆⢿⠻⢿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⠀⠀⢿⣿⣿⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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                    ䷩ 𝚕𝚒𝚗𝚎 2995

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

(ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/03/12/Richard_Rothwell_suicide_Coroner_report.shtml
    Gemini version at gemini://gemini.techrights.org/n/2024/03/12/Richard_Rothwell_suicide_Coroner_report.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Richard Rothwell suicide: Coroner
report⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Mar 12, 2024


Reprinted with permission from Daniel_Pocock.


              🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Richard Rothwell, Schoolforge⦈


The coroner's report is now available for the suicide of Richard Rothwell. The
full report is further down. There appear to be two key points: Rothwell was
stressed about an imminent tax audit and Rothwell was alone at the time he
decided to commit suicide.


Other observations include the fact he left notes (only one in four suicide
victims does so) and alcohol was involved. The Debian_Day_volunteer_suicide
victim_Frans_Pop_also_left_a_number_of_notes/emails.


Rothwell worked for approximately 20 years as a school teacher. During this
time, he explored solutions for using GNU/Linux and free software in education.


Between 2004 and 2006, Rothwell gave a series of conference presentations about
his work. This_is_one_of_the_papers_he_has_published_at_the_time. Through the
Schoolforge_UK_project, he shared his work publicly under open source licenses.


In 2006 or 2007, he left his job and salary behind and formed a Community
Interest_Company called M6-IT. In 2008, Free Software Magazine published_an
interview_where_Rothwell_talks_about_creating_a_company_without_capital. Quote:


     Rothwell: It has always struck me that the the ethos of Free Software
     is that you should make money out of what you are doing, not what
     you’ve done. This fits well with the ethos of the Community Interest
     Company. With CICs the employees and directors can earn an income,
     but can’t build up capital in the company.


His quote opens the door to many philosophical discussions. For example, if
everybody else has capital and one person chooses to work without capital, are
they putting themselves at a disadvantage? Or from a completely different
angle, could we argue that the viral nature of the GPL is creating a form of
capital that the community shares?


In the UK, there is no minimum capital requirement to form a company. It is
possible to form a company with as little as £1 in capital. There is a
registration fee of £12, which is about the price of a pizza. Many small
businesses save money by using their home address as the registered office,
which is what we can see_in_the_records_for_M6-IT.


One significant point to bear in mind is that many IT companies relying on free
software feel that they don't need investor capital because there are no
software licensing fees and they can modify or create software using their time
instead of paying for it. In other words, people try to use their time as a
substitute for investment capital.


Large free software organizations like the FSFE encouraged_Rothwell_to_proceed
down_this_path. We frequently see these organizations giving encouragement but
they don't pay for what they use. FSFE tries to associate themselves with other
projects so they can collect donations. Most FSFE funds go towards the_salaries
and travel expenses of their own staff. It would be better if people donated
their money directly to somebody like Mr Rothwell.


The_full_reports_for_Rothwell's_company_are_available_online.


The 2007_report_shows_that_there_was_minimal_revenue_in_the_first_year. This is
not unusual for a new company.


The 2008_report_shows_a_revenue_comparable_to_the_earnings_of_a_schoolteacher.
At this stage, he may have been breaking even.


Nonetheless, there is a certain amount of administrative work in running a
company. The remaining directors of the company did not file accounts for the
subsequent 12 months leading up to the suicide so we can't see if the company
was earning a break-even revenue in the final 12 months. The company was struck
off the register.


Despite Rothwell's comments about share capital, he actually created a second
company, STTM_Limited. STTM is limited by shares with capital. Looking at the
accounts of M6-IT and STTM side-by-side, it appears that funds were passed
through from M6-IT to STTM, possibly as payment for Rothwell's personal time.
Other shareholders are Matthew Edmondson and Leslie Smedley.


Having two companies inevitably doubles the amount of administrative work.
There would be two annual returns, two tax returns and eight VAT returns to
complete each year.


The coroner notes that Rothwell was stressed about an imminent VAT inspection.
These VAT inspections are a routine control and they do not imply wrongdoing.
It is nothing like a criminal inquiry. The VAT inspection is more like the
periodic MOT_test required for all cars registered in the UK. The British tax
authority, HMRC, has stated they expect to audit every business at least once
every seven years. In practice, if a business is submitting very large VAT
returns or engaged in a high-risk industry sector, the audits are more
frequent.


My own business was subject to a VAT audit around the same time. The inspector
asked me to print a list of all the VAT expenses I had reclaimed for the past
year. It is very easy to print this report with the accounting software. He
looked at the printed list and asked me to show him some specific receipts.
These were receipts for larger purchases and it was relatively easy for me to
find them. The inspection was complete in less than one hour.


For small business like this, the inspector typically wants to look through a
folder full or receipts and see if they add up to the total claimed in the VAT
return. Some of these inspections of very small home businesses are completed
in less than two hours.


Therefore, I was somewhat shocked to read that one of these inspections was a
factor in the death of Richard Rothwell. To their credit, I don't think the tax
inspectors were at fault. The fear of the unknown may have been one factor. I
had my first limited company when I was 18 years old. Rothwell, on the other
hand, had worked as a teacher for 20 years so he didn't have prior experience
of the tax administration and he may have feared the worst.


In addition to this fear of the unknown, I feel the inspection may have simply
been the straw that broke the camel's back. In open source, many people try to
do everything ourselves. It is closely intertwined with the culture of
volunteering. In some organizations, like DebConf organization, people insist
that it won't happen if volunteers don't do it for free, even_dish_washing. Yet
all these chores add up.


Looking at the financial reports, we can see large expenses for vehicle
mileage, this implies Rothwell spent a lot of time travelling and may have had
less time for other tasks.


The coroner's report notes that Rothwell's wife was a student at the time of
the death. This implies she has taken a break from her career and Rothwell may
have been the sole breadwinner in the home. This may have been an additional
pressure for him at the very time he had left his teaching career to venture
into the world of self-employment.


Rothwell could have outsourced his accounting needs and he could have paid an
accountant to handle the VAT inspection. Many small businesses work that way.
Once again, in open source, there is a desire to do it ourselves and to do it
with free software. If Rothwell was using a LibreOffice spreadsheet instead of
a double-entry_accounting_system then this would have made it more difficult to
handle the inspection and more difficult to outsource the data entry. Given
that M6-IT had no investor capital and revenues based on the rates Rothwell
could charge for his time, he may not have felt that he had the funds to pay
for outsourced accounting.


UK businesses can choose from a wide range of insurance policies that cover
costs associated with tax audits. The_FSB_membership,_which_costs_£147_per
year,_includes_this_type_of_insurance and many accountants also promote similar
insurance products.


Schoolforge and M6-IT were promoting Xubuntu, based on Ubuntu. Canonical, the
creators of Ubuntu, give_sponsorship_funds_to_middlemen_at_organizations_like
FSFE but it doesn't appear that they make payments to businesses like M6-IT who
promote the Ubuntu product to the end user.


People left tributes_to_Richard_Rothwell and news reports described_him_as_a
genius. Yet open source wasn't willing to pay him like one. In fact, this is a
common practice in some open source organizations, to build people up with
praise and encourage them to use their spare time or their employer's time to
work on projects that benefit other companies more than themselves.


The inquest noted that Rothwell was alone at the time he decided to follow
through with his intentions to kill himself. I previously wrote about the
impact_of_isolation_for_Lucy_Wayland,_who_died_in_2019.


In fact, looking at the manner in which some open source leaders attack
volunteers with false abuse stories, such_as_the_conspiracy_against_Jacob
Appelbaum, it appears that open source Code_of_Conduct_impersonation is trying
to deliberately impose isolation on people. Isolation and stress both appear to
be regular themes in open_source_suicides_and_accidents.


In_the_interest_of_transparency_and_fact-checking,_the_full_inquest_report_is
available █




⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⡉⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⢀⠀⠀⢠⣴⡤⣴⣄⢨⠀⠀⠀⢀⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⢀⣀⣼⣿⣿⣿⣷⣾⣿⣾⣿⣿⣷⣿⣿⣾⣿⣶⢾⣿⣿⣿⣿⣷⣴⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣏⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢀⡄⠀⣤⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣷⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⡟⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⣠⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⢐⠫⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⡗⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣬⣄⣈⣽⣿⣿⣿⣿⣧⣼⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣇⣻⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⡷⢷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⠙⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⠇⢻⣿⣿⣿⣿⡇⢨⣿⣿⣿⣿⡿⣇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡰⢹⣟⠿⣿⣿⣿⣿⣿⣿⣿⣾⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⠀⢻⣿⣿⣿⣿⠁⢼⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠈⢿⣦⠈⠉⠻⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⠋⣿⣿⣿⣿⣿⠀⠘⠃⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠈⢿⡇⠀⡉⠑⢻⠛⠿⠟⣻⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⠈⢻⣿⣿⣿⣿⡀⠐⠀⠀⣹⡋⠙⣿⣿⣿⣿⣿⠿⡿⢿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⡠⠤⡀⠃⠄⠀⠀⣀⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⢳⣿⣿⣿⣿⣿⣧⡀⠀⢀⠏⠀⠀⠿⠿⣿⡃⠀⠀⠀⠈⠜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠐⣿⣆⠀⠀⠉⢀⠈⣡⣾⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⡆⣿⣿⣿⣿⣿⣿⠇⠀⠈⠀⠀⠀⠀⠀⣍⡁⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⢻⣿⣤⠙⢂⣼⣿⠛⠃⠚⣻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣇⣿⣿⣿⣿⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⠿⠿⢿⣿⡿⠿⢿⣿⣿⣿⣿⣷⡀⠈⠙⢿⣧⠘⠻⠛⠁⠀⠀⠺⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⢛⣿⣿⣿⣷⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠻⢿⣿⡿⠿⠟⠿⣿⣿⣿⣿⡟⠛⠉⠀⠚⠁⠀⠀⠀⠀⠀⠀⠤⢤⠽⠿⢿⣿⣟⣤⠀⠀⠀⠉⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⠐⣻⣿⣿⣿⣷⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣶⣆⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠦⣌⣸⣿⣿⣧⡄⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣓⣿⣿⣿⣿⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⣴⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣈⣙⡇⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣏⢻⣿⣿⣿⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⠿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠾⠿⠿⣿⣿⣿⣿⣿⣿⣿⣦⣦⡄⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⡗⣸⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣺⣿⣿⣆⠀⢐⣦⣄⡀⠀⠀⠀⠀⢀⣠⣾⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⡇⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣶⣤⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⡃⢺⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢐⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⠇⣽⣿⣿⣿⣿⣿⣿⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠄⠘⠉⢀⣴⡼⠿⠿⠛⠻⠟⠻⠿⠿⠿⠀⠀⠀⠀⠀⠈⠀⠈⠋⠛⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⠁⣹⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠙⢭⠿⠶⠂⠀⠀⠘⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⠄⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠻⣿⣿⣿⣿⣤⡀⠀⠀⠀⢠⠀⠀⠻⣿⣿⣿⣿⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠈⢣⡀⢠⣗⣘⡀⠈⣶⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣧⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠆⠾⠓⠀⠀⠀⠀⠀⠀⠀⠀⠹⣾⣯⣟⠓⠀⣿⣿⣿⠿⣿⣏⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⡏⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠄⠠⣿⣿⣿⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⡇⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠠⢶⣤⡀⠀⠀⠀⠀⠀⠀⢹⣿⠉⠀⣿⣧⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡔⠀⢶⡶⢆⣿⠟⠀⠀⠀⠀⠀⠀⢺⠯⠀⠠⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⡅⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠁⠀⠀⢡⣿⣿⡆⢀⠀⠀⠀⠀⠀⠘⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣄⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⠀⣿⡉⠀⠈⠅⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⠀⠀⠀⠀⠀⠀⠀
⣿⡏⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠸⣿⠅⠹⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀
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⡷⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄
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⣇⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣾⣿⣿⢻⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡟⠈⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⠇⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⡏⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢀⣾⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣊⣻⡯⣭⣬⣿⣿⣻⡻⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣱⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 3265

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

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⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Union for Staff of the EPO Has New
Headquarters in Rijswijk (NL)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Mar 12, 2024


         🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇De Bruyn Kopsstraat 15, 2288 EC Rijswijk⦈


THE positive thing about coverage of EPO affairs is that we share or relay
plenty of information about labour regulations/rights/safeguards/laws, not only
in relation to Europe (the EPO is an international organisation, despite its
name).


The recent General_Assembly spoke about overwork, which is an occupational
health_hazard (they're grossly understaffed, according to insiders). So a staff
union is very much necessary. They need their collective power to fight back
and uphold rules associated with workers' protections. Benoît_Battistelli tried
to 'dismantle' the union by attacking its leadership and António_Campinos took
a long time to obey ILOAT on this matter. Worse yet, he signaled to one of them
that he might as well leave the Office 'voluntarily' (another one had already
retired after that; the former is I.B., the latter is E.H.).


We want to cover some newer EPO issues, so as one last 'departing gift', here's
a gem about "new headquarters" announced by SUEPO's Dutch branch half a year
ago:


     🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇EPO⦈_We are excited to announce the opening of our
     new headquarters, and we cordially invite you to join us for a
     special celebration!


     New Headquarters Address: De Bruyn Kopsstraat 15, 2288 EC Rijswijk


There's nothing secret about it. It looks like a decent building.


The party they the was also mentioned in the news digest at the time:


     § SUEPO TH digest - September 2023⠀➾


     Dear members, dear colleagues,
      
     Please find below the SUEPO TH September 2023 digest:
      
     Employment_Law:
      


         * Request for review lack of rewards – earliest deadlines mid-
           September:


     The career system may have been deemed legal by the ILOAT, but it
     still feels unfair to a large number of colleagues. If you have not
     received a career advancement or bonus in July 2023 and either
     received a good performance report for 2022 or contested your 2022
     report, you have a chance of reversing the decision and receiving a
     step or promotion with retroactive effect. To do so you need to first
     file a request for review [...] until 3 months following the earliest
     of the following 2 dates: when your manager called you to announce
     the decision, or the 26th of July (July 2023 payslip). Then you will
     need to file an internal appeal. [...]


         * Pending complaints on the New Career System (NCS):


     If you have a complaint pending in front of the ILOAT regarding the
     career system and have received an email from the Tribunal asking you
     to let them know by 15.09 whether you wish to withdraw it, we
     advise all complainants NOT to reply to the email – the Tribunal will
     hence automatically consider that your complaint is maintained. No
     action from your side is needed. [...]


         * Formalities Team Managers treated differently:


     Team Managers functional allowances will be doubled in recognition of
     their efforts and resilience over the recent years – but not for
     Formality Team Managers! We have not yet received a reply from the
     administration concerning this difference in treatment. Staff in this
     situation has the right to challenge this decision by initiating a
     request_for_review_(RfR) until October 3rd. [...]  
     5th_October:_save_the_date_for_the_SUEPO_Office_warming_party!_ 
     The SUEPO office is changing location to de Bruyn Kopsstraat 15, unit
     1.11 at the end of September, and we have been busy organising and
     coordinating the move.
      
     On the 5th of October there will be celebrations at the EPO for the
     50 years anniversary of the EPC. Our union, our members and the EPO
     staff have been an essential element in the survival – and success –
     of the EPC.
     To celebrate this, please attend the “office warming party” on that
     day (5.10) from 16:30 – please register [...] so that we can plan
     enough space and refreshments.
      
     OHS
     Recruitment of an additional full time occupational nurse in TH is
     urgently needed – [...]  
     Digital_SUEPO:
      


         * EasyVerein self-management portal for members:


     SUEPO TH has been fine tuning the new self-management portal powered
     by easyVerein© - a special thank you goes to our IT webmaster and the
     volunteer testers! Soon, you'll be able to manage your membership
     data and access event info through personal accounts. Stay tuned for
     more details.
      


         * SUEPO app:
     Some of our members have already installed the beta version of the
     SUEPO app and we have been working on getting it ready for the
     upcoming official launch for members and guests in MU and TH. Once
     the Apple registration process is complete and the app is officially
     available for download from the Apple Store, you'll have direct
     access to secure, and spam-free communication, ensuring you never
     miss important updates.


      
     On_our_radar:


         * September_2023_press_articles


         * “Supporting_employees_through_the_menopause”: these articles
           originate from a for profit care organisation, but still seem
           to offer valuable insight;


         * On Friday September 22nd, the Dutch Union FNV_Climate_Network
           is co-organising an action in Rotterdam to demand an end to the
           use of coal and a just transition for workers in the industry,
           see here for more details.


     Kind regards,
     Your SUEPO TH committee
      


     [...]


There's more above that might be of interest (we've redacted some text and
links). It would be nice to see SUEPO transitioning to real standards such as
Open Document Format (ODF) for those who opt/choose to use Free software. It's
also truly a shame that SUEPO uses Microsoft ASP/.NET for its site and MS Teams
to stream meetings. Whose decision was this? When was the decision made? The
EPO_works_closely_with_Microsoft, so these decisions can severely weaken the
union. Microsoft is the secret weapon of the EPO's management; it's spying on
everything. █




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

                    ䷩ 𝚕𝚒𝚗𝚎 3497

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Gemini Links 12/03/2024: Binary Blinkers
and Disappointment in Urbit⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Mar 12, 2024


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


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


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


          o § Personal/Opinions⠀➾


                # ⚓ fourth⠀⇛


                       hi! i believe arctic has been making all of these
                       entries so far? i forgot she started this... so! my
                       name is ethan! i'm probably the most frequent
                       fronter, so a lot of entries will probably be from
                       me :)


                # ⚓ I_went_to_the_cafe,_but_the_coffee_was_bad._True_story.⠀⇛


                       So after 24 days of intense duolingo, it is not
                       possible to say simple things like this, without
                       outside help.


                       For some reason, all language courses I've seen
                       focus on the completely unusable present tense for
                       a long, long time. While it seems simple and
                       perhaps not entirely unwise to learn to conjugate
                       verbs in present tense, it makes it impossible to
                       communicate even simple thoughts.


                       The present point in time is just that - a POINT,
                       while the rest of everything is in the past and
                       possibly the future. Simple present tense is
                       useless unless you want to talk like Tarzan.


          o § Politics and World Events⠀➾


                # ⚓ How_to_become_OK_with_woke⠀⇛


                       I’m writing this to people who are a little bit
                       turned off by woke culture (or as it was called ten
                       years ago, "SJW", or in the eighties and nineties,
                       "PC") but who are curious enough to read a guide
                       about it.


                       [...]


                       I always got to keep this in mind when scrolling
                       through the high-tempered social media postings of
                       people who are just struggling to figure themselves
                       out in an absurd world. There is a lot of un-
                       thought-through, self-contradictory stuff out there
                       being touted as absolutely shoe-hammering gospel.
                       “How dare you say (or not say) such-and-such”
                       admonishments that if followed to the letter would
                       make some other just as vulnerable group just as
                       messed up. It’s easy to get sick of the whole
                       thing.


                # ⚓ 🔤SpellBinding:_ABEITNK_Wordo:_FIRED⠀⇛


                # ⚓ Binary_Blinkers⠀⇛


                       A similar thought was expressed by some president,
                       "either you're with us, or against us" regarding
                       some military adventure somewhere. The playbook is
                       to setup a binary between (according to the
                       speaker) a good thing and a bad thing where the
                       good thing is the only choice. Oh, death? Death is
                       bad. We must be for whatever the other thing is…
                       right?


                       Let's try another example. Suppose your country
                       labors under crippling sanctions as a result of a
                       recent peace treaty. Do you continue with the
                       ruinous sanctions, or throw in with a new political
                       party that promises to improve things? Here, both
                       the sanctions and the rise of the
                       Nationalsozialistische Deutsche Arbeiterpartei were
                       bad for various folks. One might also look for
                       binaries where both options are good, or both are
                       neutral, good or bad, bad or good, bad and bad,
                       etc. For example, a particular business may benefit
                       from either sanctions or war, or the issue may be
                       irrelevant to others.


          o § Technology and Free Software⠀➾


                # ⚓ Disappointment_in_Urbit⠀⇛


                       I first heard about and became interested in Urbit
                       in late 2020. Censorship from big tech, a
                       tumultuous election year filled with agitation and
                       misinformation, and isolation at the height of the
                       COVID-19 pandemic all led me to search for
                       different communities and technologies outside the
                       sensationalist mainstream. It was this same
                       yearning that brought me to Gopher in January 2021,
                       and Gemini that March.


                       Urbit is a fascinating project, but it doesn't
                       particularly satisfy my desire for digital
                       independence. There are several caveats about its
                       design and operation that I was not aware of when I
                       purchased my planet, and had I known about them at
                       the time, I may have made a different decision.


                # ⚓ So_much_for_the_Gentoo_dream⠀⇛


                       I have been sold on the idea of "you don't pay for
                       what you don't use" for longer than I can remember.
                       Minimalism and "strictly necessary" was the guiding
                       star that brought me to the Gentoo, Linux from
                       Scratch, djb-style software, suckless project,
                       sysvinit and other nice things. In general, it
                       prompted me to understand deeper the operating
                       system I am using to be able to tell which part of
                       it is not strictly necessary.


                # ⚓ Micropower_radio⠀⇛


                       Micropower radio is a general term for a whole
                       class of activities of underground radio. As
                       opposed to unlicensed "pirate" radio stations
                       operating powerful transmitters, larger stations,
                       and targeting a major metropolitan city for
                       example, micropower radio is instead concerned with
                       broadcasting to a niche community that could be as
                       large as a neighborhood or as small as a campus or
                       city block.


                # ⚓ [EN]_Re:_Micropower_radio⠀⇛


                       Lettuce shares with us the appealing world of
                       micropower radio transmisison. Ah! That's something
                       calling my attention since I was a kid.


                # § Internet/Gemini⠀➾


                      # ⚓ sp-dl⠀⇛


                             South Park is one of my guilty pleasures. All
                             of its episodes are available online for free
                             [1], but they cannot be streamed easily (or
                             at all) without a modern browser and
                             javascript. Worse yet, it's impossible to get
                             the full list of episodes without the same.


                      # ⚓ Back_to_the_grind⠀⇛


                             Hey hey gemini! How's it going?


                             Things are alright here. I'm working again at
                             the same bookstore I worked at before I left
                             to go study music. I like the work (mostly),
                             and I'm happy to be doing something that
                             earns some money, but I have a little note on
                             my desk that reminds me


                # § Programming⠀➾


                      # ⚓ Disappointment_in_Game_Dev⠀⇛


                             Stellar Settlers was one of the games I tried
                             during Steam Next Fest. So really, it was my
                             fault for not catching this when I tried it.
                             I suppose I wanted to believe in the best in
                             people, especially indie devs. Ultimately,
                             they would be one of the first to take
                             advantage of AI-generated content, wouldn't
                             they?


                             Would I have bought the game if they had came
                             right out and said they used AI-generated
                             content? No, that's not enough. In this day
                             and age, I would need more proof that the
                             training material used were obtained
                             ethically (properly licensed). But there was
                             little to no information on that. The only
                             way I found out about the dev's use of AI-
                             generated content was from a Steam discussion
                             thread.


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





                    ䷩ 𝚕𝚒𝚗𝚎 3746

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Links 12/03/2024: More Strikes Ahead,
Software Patents of IBM Debunked⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Mar 12, 2024


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


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


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


          o ⚓ Ruben Schade ☛ John_Berger_and_Tyson_Yunkaporta_on_words⠀⇛


                 John Berger was an English art critic and documentarian
                 who… wait sorry, I got another indignant email from a
                 Hacker News reader who disagreed with my_content_creators
                 post. Let’s try again!


          o ⚓ Hackaday ☛ Generator_Control_Panel_Unlocked_With_Reverse
            Engineering_Heroics⠀⇛


                 Scoring an interesting bit of old gear on the second-hand
                 market is always a bit of a thrill — right up to the
                 point where you realize the previous owner set some kind
                 of security code on it. Then it becomes a whole big thing
                 to figure out, to the point of blunting the dopamine hit
                 you got from the original purchase.


          o ⚓ Adrian_Gaudebert:_Killing_two_birds_with_one_deck_in_Dawnmaker⠀⇛


                 Let's face it: Dawnmaker still has some important flaws.
                 We're aware of that, and we are working on those flaws.
                 One of the biggest remaining problem with the game was
                 that one of its core mechanics, the oppression of the
                 Smog, was… well, not explained at all. If you didn't have
                 a developer behind your back to tell you, there was
                 almost no way you could understand it.


          o § Science⠀➾


                # ⚓ New York Times ☛ Surprise:_An_‘Extraterrestrial’_Gadget_Was
                  Something_More_Familiar⠀⇛


                       In 2014 a fireball from outer space was posited to
                       be an alien artifact. A recent study suggests
                       otherwise.


                # ⚓ University of Michigan ☛ Americans’_trust_in_science
                  survived_polarization,_Trump_attacks⠀⇛


                       Americans' basic confidence in science and
                       scientific expertise was unshaken by the Trump
                       administration's attacks on scientific expertise,
                       and has remained high during the last six decades.


                # ⚓ Science Alert ☛ Crimes_in_Space_Are_Yet_to_Happen._Here's
                  How_We_Might_Solve_Them_When_They_Do.⠀⇛


                       Colonel Mustard. On the space station. With a
                       candlestick.


                # ⚓ Science Alert ☛ Warmest_US_Winter_on_Record:_Yet_Another
                  Grim_Signal_of_Climate_Shift⠀⇛


                       "We've crossed a threshold."


                # ⚓ Science Alert ☛ Suspected_Interstellar_Signal_May_Have_Just
                  Been_a_Noisy_Truck⠀⇛


                       Not the alien technology we're looking for?


                # ⚓ Hackaday ☛ 3D_Imaging_For_Natural_Science_—_For_Free⠀⇛


                       It isn’t that unusual for a home lab to have a
                       microscope, but wouldn’t it be cool to have a CT
                       scanner? Well, you probably won’t anytime soon, but
                       if you are interested in scans of vertebrates — you
                       know, animals with backbones — a group of museums
                       have you covered.


          o § Hardware⠀➾


                # ⚓ CNX Software ☛ FLIR_Si2_acoustic_imaging_camera_features
                  124_microphones_to_detect_leaks_and_faults_up_to_200_meters
                  away⠀⇛


                       Teledyne FLIR is well known for its thermal imaging
                       infrared cameras, but the FLIR Si2 is different as
                       instead of measuring temperature, the acoustic
                       imaging camera is equipped with 124 sensitive
                       microphones to detect leaks, electrical discharge,
                       and mechanical faults up to 200 meters away.


          o § Health/Nutrition/Agriculture⠀➾


                # ⚓ Science Alert ☛ Parkinson's_Drug_Reduces_Disease_Markers_in
                  Breakthrough_Trial⠀⇛


                # ⚓ TwinCities Pioneer Press ☛ Biden’s_budget_proposal_for_a
                  second_term_offers_tax_breaks_for_families_and_lower_health
                  care_costs⠀⇛


                       The proposal for fiscal 2025 is an election year
                       blueprint about what the future could hold if Biden
                       and enough of his fellow Democrats win in November.


                # ⚓ NYPost ☛ 300_people_possibly_exposed_to_measles_after
                  infected_child_visits_California_hospital⠀⇛


                       Hundreds of people could have been exposed to
                       measles after a child with the highly-contagious
                       disease went to an urgent care center and hospital
                       in northern California earlier this month, health
                       officials said.


                # ⚓ Science Alert ☛ Broccoli's_Anti-Cancer_Compound_Could_Have
                  a_Whole_Other_Health_Benefit⠀⇛


                       This healthy food just got healthier.


                # ⚓ Latvia ☛ Doctors_call_for_state-paid_birth_control_for
                  young_women_in_Latvia⠀⇛


                       Several doctors' associations have come forward
                       with a call for state-refunded contraception for
                       women under 25, Latvian Television reported on
                       March 9.


                # ⚓ The Straits Times ☛ South_Korea_sets_up_hotline_to_support
                  doctors_defying_walkout⠀⇛


                       It is for doctors who face harassment or peer
                       pressure for choosing not to join the walkout.


                # ⚓ Hackaday ☛ Hack_Makes_Microwave_Cookies_Fast_And_Not
                  Terrible⠀⇛


                       Making a chocolate chip cookie is easy. Making a
                       good chocolate chip cookie is a little harder.
                       Making a good chocolate chip cookie quickly is a
                       pretty tall order, but if you cobble together a
                       microwave and a conventional oven, you just might
                       get delicious and fast to get together.


                # ⚓ YLE ☛ Springtime_street_dust_worsens_Helsinki_air_quality⠀⇛


                       The street dust season has begun in the Helsinki
                       Metropolitan Area which can mean respiratory
                       problems, especially for asthmatics and young
                       children.


                # ⚓ BIA Net ☛ Female_employment_in_agriculture_drops_614,000
                  people_in_ten_years⠀⇛


                       The proportion of women employed in the
                       agricultural sector decreased from 48.8% to 18.3%
                       of total employment. CHP Deputy Ömer Fethi Gürer
                       stated that women's participation in agricultural
                       production not only supports the development of
                       rural areas but also prevents migration. He also
                       proposed, "Women's social security premiums should
                       be covered by the state."


          o § Defence/Aggression⠀➾


                # ⚓ YLE ☛ Finland_joins_Swedish,_French_navies_for_submarine
                  threat_drills⠀⇛


                       The exercises off of Sweden's west coast start on
                       Wednesday.


                # ⚓ RFA ☛ Renewal_of_close_US_ties_good_for_regional_security,
                  Micronesian_leaders_say⠀⇛


                       U.S. President Joe Biden signed a government
                       funding bill that includes $7.1 billion for three
                       Pacific island allies.


                # ⚓ YLE ☛ Police_detain_military_vehicle_driver_on_suspicion_of
                  manslaughter_following_fatal_crash_with_taxi⠀⇛


                       The 20-year-old suspect will appear at a remand
                       hearing at Pirkanmaa District Court in Tampere on
                       Tuesday afternoon.


                # ⚓ RFA ☛ Taiwan_has_a_'delegation'_at_China's_National
                  People's_Congress⠀⇛


                       The fake representatives are another example of
                       absurdist dramas Beijing creates for itself.


                # ⚓ JURIST ☛ Tibetans_in_India_protest_against_China_to
                  commemorate_Uprising_Day⠀⇛


                       Tibetans took to the streets in India’s capitol New
                       Delhi on Sunday to mark the 65th anniversary of the
                       1959 Tibetan Uprising against China.


                # ⚓ RFA ☛ Videos_appear_to_show_Myanmar_military_training
                  Rohingyas⠀⇛


                       Meanwhile, conscription law is driving Burmese
                       youth to flee to Thailand and Malaysia. ‘We no
                       longer feel safe,’ said one.


                # ⚓ RFA ☛ China_set_to_boost_defense_amid_regional_tensions⠀⇛


                       Its 2024 defense budget is set to grow more than
                       7%, making it the second highest in the world after
                       the U.S.


                # ⚓ The Straits Times ☛ Philippines_says_China’s_maritime-
                  related_proposals_run_contrary_to_its_interests⠀⇛


                       China presented proposals to manage the Second
                       Thomas Shoal and fishing issues in Scarborough
                       Shoal.


                # ⚓ RFA ☛ Uyghur_migrants_see_no_release_after_a_decade_in
                  Bangkok_cells⠀⇛


                       Rights groups call on the Thai government to defy
                       China’s pressure and free them.


                # ⚓ New York Times ☛ Netanyahu’s_Coalition_‘May_Be_in
                  Jeopardy,’_Intelligence_Report_Says⠀⇛


                       The document predicted that Israel would struggle
                       to achieve its goal of destroying Hamas in Gaza.


                # ⚓ JURIST ☛ India_unveils_rules_to_implement_controversial
                  legislation_amending_citizenship_laws⠀⇛


                       The Indian government unveiled Monday the
                       Citizenship (Amendment) Rules, 2024 (CAR), in
                       accordance with the controversial Citizenship
                       (Amendment) Act, 2019 (CAA), which aims to amend
                       the laws governing citizenship in India. The CAA
                       helps persecuted religious minorities gain access
                       to Indian citizenship but specifically excludes
                       Muslim immigrants.


                # ⚓ New York Times ☛ Haiti_to_Receive_Another_$130_Million_From
                  U.S._to_Restore_Order⠀⇛


                       The U.S. secretary of state announced more aid for
                       the multinational security mission planned to
                       deploy to Haiti, as well as more humanitarian aid.


                # ⚓ France24 ☛ Haitian_Prime_Minister_Ariel_Henry_resigns_after
                  Jamaica_talks⠀⇛


                       Haitian Prime Minister Ariel Henry has tendered his
                       resignation as head of the Caribbean nation, the
                       leader of a regional body said on Monday, an
                       unelected role the 74-year-old neurosurgeon held
                       since 2021.


                # ⚓ The Straits Times ☛ Pakistan's_former_finance_chief_takes
                  up_role_as_foreign_minister⠀⇛


                       Pakistan's former finance minister Ishaq Dar was
                       named on Monday as the country's foreign minister,
                       at a time when growing economic and security
                       challenges will dominate the nation's foreign
                       policy.


                # ⚓ JURIST ☛ UK_allocates_£117M_to_enhance_security_for_Muslim
                  communities⠀⇛


                       The UK government announced Monday its commitment
                       of over £117 million in protective security funding
                       to the Muslim community over the next four years.
                       It follows the Prime Minister’s recent pledge last
                       month to allocate over £70 million to the Jewish
                       Community Security Trust over the same period.


                # ⚓ Hong Kong Free Press ☛ Limits_may_be_placed_on_suspects
                  discharged_by_police_under_new_security_law,_Hong_Kong
                  official_says⠀⇛


                       Those who have been arrested under a proposed
                       security law and granted bail, and those who have
                       refused bail and been discharged by police, may be
                       subject to restrictions on their movement, security
                       chief Chris Tang has said.


                # ⚓ Defence Web ☛ UNSC_wants_Sudan_hostilities_ended
                  immediately⠀⇛


                       Adopting what is being called “a key resolution”,
                       the United Nations Security Council (UNSC) demands
                       “immediate cessation of hostilities” in war-torn
                       Sudan. The resolution was adopted ahead of Ramadan,
                       the Islamic month of fasting, prayer and reflection
                       that started yesterday (Sunday, 10 March) according
                       to s United Nations (UN) statement.


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


                      # ⚓ Atlantic Council ☛ Why_Washington’s_approach_to_Black
                        Sea_security_may_be_about_to_change—for_the_better⠀⇛


                             The NDAA signals a wider shift in
                             Washington's strategy towards the critical
                             Black Sea region and cooperation with
                             littoral partners.


          o § Environment⠀➾


                # ⚓ YLE ☛ Court_case_against_climate_action_group_begins_in
                  Helsinki⠀⇛


                       Elokapina activists face charges of fraud, perjury
                       and public incitement to commit a crime.


                # § Energy/Transportation⠀➾


                      # ⚓ YLE ☛ Helsinki_Airport_lands_award_for_'best_customer
                        experience'_in_Europe⠀⇛


                             The ASQ award was based on surveys of around
                             4,000 passengers at the facility.


                      # ⚓ YLE ☛ Helsinki_Airport_to_face_aviation_fuel_shortage
                        within_one_week⠀⇛


                             Airlines have been asked to fuel their planes
                             abroad during the two-week walkout by
                             logistics workers, but some firms may decide
                             to cancel flights to Finland.


          o § Finance⠀➾


                # ⚓ teleSUR ☛ Finnish_Workers_Announce_Two_Weeks'_Strike⠀⇛


                       The reasons for the protest by the unions is a
                       reform of the labour market and a series of cuts in
                       social benefits that the unions consider
                       unacceptable.


                # ⚓ YLE ☛ Monday's_papers:_New_strike_wave,_road_safety,_about-
                  face_in_the_weather⠀⇛


                       Monday morning's papers provide extensive coverage
                       of a new wave of strikes which rolled out to
                       protest the government's labour market policies.


                # ⚓ YLE ☛ FAQ_about_the_impact_of_Finland's_strikes_—_"If_I'm
                  out_of_petrol,_do_I_still_have_to_go_to_work?"⠀⇛


                       There are a lot of questions surrounding the
                       widespread strikes that started in Finland on
                       Monday, including: would it be wise to hoard fuel,
                       will food spoil on the docks, and will the mail get
                       through?


                # ⚓ The Nation ☛ What_We_Can_Learn_From_Minnesota_Unions’_Big
                  Contract_Wins⠀⇛


                       Michael Bartos has cleaned buildings owned by the
                       state of Minnesota for almost nine years, working
                       for contractor Marsden. A member of SEIU Local 26,
                       he makes $18.62 an hour, nearly $8 higher than
                       minimum wage in Minnesota. Yet when he buys a loaf
                       of bread at the grocery store, it typically costs a
                       quarter of his hourly wage. “That kind of thing
                       hurts,” he said. He struggles to afford basics like
                       paper towels or the gas he needs to get to work.
                       He’d like to eat organic but can’t afford it. In
                       past contract fights, he noted, he and his
                       coworkers secured paid vacation time, but he makes
                       so little that he can’t go anywhere or do much when
                       he uses the time off. “It’s stuff like that that
                       other people have that we don’t,” he said.1


                # ⚓ New York Times ☛ China’s_Exports_Surge_Are_Drawing_a_Global
                  Backlash⠀⇛


                       Increasing overseas sales of manufactured goods are
                       helping China’s economy and creating employment,
                       but countries from Europe to South Asia may lose
                       jobs.


                # ⚓ RFERL ☛ First_Cargo_Containers_Delivered_From_China_Via
                  Kazakhstan_Reach_Azerbaijan⠀⇛


                       The leaders of Azerbaijan and Kazakhstan on March
                       11 greeted the first containers delivered from
                       China to Azerbaijan's eastern Abseron district via
                       a new train route crossing the vast territory of
                       Kazakhstan.


                # ⚓ Hong Kong Free Press ☛ ‘Spirit’_of_Two_Sessions_will
                  ‘spread_widely’_in_Hong_Kong,_city’s_delegate_to_Beijing’s
                  top_political_body_says⠀⇛


                       Hong Kong’s sole delegate to China’s top political
                       body has said she felt Beijing’s “care and support”
                       for Hong Kong during an annual parliamentary
                       gathering, adding that she would take the “spirit”
                       of the key Two Sessions meetings to the local
                       community.


                # ⚓ Hong Kong Free Press ☛ China’s_Two_Sessions:_Major
                  political_meeting_wraps_with_pledges_to_boost_sluggish
                  economy⠀⇛


                       By Jing Xuan Teng China’s leaders on Monday wrapped
                       up a week-long key conclave at which they admitted
                       more was needed to revive a sluggish economy
                       battered by an ailing housing market, poor domestic
                       demand and record-high youth unemployment figures.


                # ⚓ Hong Kong Free Press ☛ Consumer_prices_in_China_rise_for
                  first_time_in_6_months,_bucking_deflation_trend⠀⇛


                       By Jing Xuan Teng Chinese consumer prices rose in
                       February for the first time since August, data
                       showed Saturday, bucking a months-long stretch of
                       deflation that compounded the country’s myriad
                       economic woes.


                # ⚓ H2 View ☛ Geopolitics_and_quality_challenges_limit_China’s
                  electrolyser_market_reach⠀⇛


                       Geopolitics and quality challenges will limit the
                       reach of Chinese electrolysers in Western markets,
                       according to Stephen B. Harrison of sbh4 GmbH.


                # ⚓ Atlantic Council ☛ China_is_failing_to_address_its_economic
                  challenges⠀⇛


                       The just-completed National People’s Congress
                       offered no real insight into how Beijing plans to
                       deal with interlocking economic troubles.


                # ⚓ The Strategist ☛ Simmer_war:_the_new_form_of_US–China
                  rivalry⠀⇛


                       The future of US-China rivalry is not likely to
                       become a cold war, nor a hot one.


          o § AstroTurf/Lobbying/Politics⠀➾


                # ⚓ Common Dreams ☛ Apocalypse_Now:_They_Are_Coming_For_Our
                  Books,_Kitchens_and_Children,_Especially_the_Ones_Not_Wearing
                  Pants⠀⇛


                       Talk about a tale of two countries: This election
                       year, with only fervid culture wars to offer, a
                       fear-mongering GOP is hating on books, flags,
                       migrants, rainbows, birth control, scary clown drag
                       queens; electing zealots and bigots; drawing pants
                       on goblins' butts and turning teachers who support
                       trans kids into sex offenders. And this week, they
                       definitively rejected Biden's nation of hope and
                       decency with a lying, sociopathic White Mom On the
                       Brink - "There's bodegas on the corner!" - in "some
                       deeply weird shit."


                # ⚓ The Nation ☛ It_Was_a_Terrible_Weekend_for_2_Female_GOP
                  “Stars”⠀⇛


                       South Carolina Representative Nancy Mace first came
                       to national attention in 2019, when she opposed a
                       state abortion ban that lacked exceptions for rape
                       and incest, revealing that she had been raped at
                       16. “For some of us who have been raped, it can
                       take 25 years to get up the courage and talk about
                       being a victim of rape,” said Mace, then a state
                       legislator. “My mother and my best friend in high
                       school were the only two people who knew.”


                # ⚓ Off Guardian ☛ The_Great_Election_Fraud:_Manufactured
                  Choices_Make_a_Mockery_of_Our_Republic⠀⇛


                       “Dictators are not in the business of allowing
                       elections that could remove them from their
                       thrones.” Gene Sharp, political science professor


                       The U.S. Supreme Court was right to keep President
                       Trump’s name on the ballot.


                # ⚓ The Straits Times ☛ North_Korean_delegation_meets_Mongolian
                  President_in_rare_visit:_KCNA⠀⇛


                       North Korea's Vice-Minister of Foreign Affairs Pak
                       Myong Ho met with Mongolian President Ukhnaagiin
                       Khurelsukh on Monday, North Korean state media KCNA
                       said, in a rare foreign trip by a diplomatic
                       delegation from the isolated state.


                # ⚓ The Straits Times ☛ South_Korean_starves_himself_to_avoid
                  military_service,_gets_suspended_jail_term⠀⇛


                       Lab tests of his urine indicate deliberate
                       starvation and dehydration.


                # ⚓ The Straits Times ☛ South_Korea's_land_minister_bearish_on
                  property_as_population_ages⠀⇛


                       South Korea won't see a repeat of the sharp home
                       price gains it did in the past as its population
                       rapidly ages and economy slows, the country's land
                       minister said, vowing to promote public rental
                       accommodation to improve access to housing.


                # § Misinformation/Disinformation/Propaganda⠀➾


                      # ⚓ RFA ☛ Now_you_can_subscribe_to_a_North_Korean_state
                        TV_streaming_service⠀⇛


                             Content typically includes propaganda about
                             leaders and bad news about other countries.


                      # ⚓ University of Michigan ☛ ‘Review_bombing’_reveals
                        social_control_media’s_cruelty⠀⇛


                             A highly anticipated movie hits the theaters;
                             yet, within hours of its release, the
                             promising title finds itself drowning in a
                             sea of negative online reviews, its
                             reputation tarnished and its creators left
                             bewildered and disheartened.


          o § Censorship/Free Speech⠀➾


                # ⚓ Techdirt ☛ Utah_Lawmakers_Just_Adopted_Porn_Filtering
                  Again⠀⇛


                       The Utah state legislature recently adopted a new
                       bill that now requires the pre-installed
                       pornography filters found on mobile devices to be
                       turned on at the point of sale. If a device sold
                       doesn’t have these filters enabled, liability for
                       device manufacturers and retailers is quite severe.


                # ⚓ Reason ☛ Lawsuit_Hobbles_Utah's_Plan_To_Mandate_Age
                  Verification_Online⠀⇛


                       "Laws like this don't solve the problems they try
                       to address but only make them worse," says a
                       Foundation for Individual Rights and Expression
                       attorney.


                # ⚓ RFA ☛ Cambodian_teen_rescued_from_family_home_in_China
                  after_Facebook_(Farcebook)_plea⠀⇛


                       The girl said she was locked in a room and forced
                       to have sex with a man who bought her from brokers.


                # ⚓ JURIST ☛ AP:_Pakistan_judge_sentences_22_year_old_to_death
                  and_teenager_to_life_imprisonment_under_blasphemy_laws⠀⇛


                       The Associated Press (AP) reported that a Pakistani
                       court sentenced a 22-year-old student to death and
                       gave a teenager life in prison on Monday under the
                       country’s blasphemy laws. The 22-year-old student’s
                       lawyer, Aslam Gujar, told the AP that Junaid Munir
                       had been sentenced to death last week.


                # ⚓ Techdirt ☛ 5th_Circuit_Is_Gonna_5th_Circus:_Declares_Age
                  Verification_Perfectly_Fine_Under_The_First_Amendment⠀⇛


                       Can the 5th Circuit ever do anything not crazy? You
                       may recall that Texas, like so many states, passed
                       a law, HB 1181, that required age verification for
                       adult content sites. This law also required
                       nonsense “health warnings” to be plastered on those
                       sites, which did not come from any actual health
                       experts. The Free Speech Coalition sued over the
                       bill and won a quick injunction. The court deemed
                       it to be obviously unconstitutional, siding with
                       multiple other courts (including the Supreme Court)
                       which have all found age verification requirements
                       to access speech to be unconstitutional under the
                       First Amendment.


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


                # ⚓ Hong Kong Free Press ☛ Apple_Daily_founder_Jimmy_Lai’s
                  ‘radical’_stance_in_2019_was_common_knowledge,_court_hears⠀⇛


                       Jailed media mogul Jimmy Lai’s “radical” stance
                       during the 2019 protests and unrest was common
                       knowledge, a commentary writer for Lai’s pro-
                       democracy paper Apple Daily has told a national
                       security trial against his ex-boss.


          o § Civil Rights/Policing⠀➾


                # ⚓ Techdirt ☛ Investigation:_‘Gold_Standard’_Of_Evidence
                  Turned_To_Pyrite_By_Colorado_Crime_Lab_Employee⠀⇛


                       Law enforcement investigators and prosecutors have
                       overwhelmingly embraced plenty of pseudoscience
                       over the years, treating everything from bite marks
                       to hair samples as conclusive evidence capable of
                       singling out guilty parties.


                # ⚓ JURIST ☛ AP_and_CNHI_report_finds_US_sunshine_laws_put
                  transparency_request_burden_on_private_citizens⠀⇛


                       An AP and CNHI News report published Sunday found
                       that less than a third of US states have agencies
                       to resolve citizen disputes regarding access to
                       public records or open meetings. The only recourse
                       for resolving transparency-related disputes in
                       these states is for citizens to engage in expensive
                       litigation.


          o § Internet Policy/Net Neutrality⠀➾


                # ⚓ Public Knowledge ☛ Public_Knowledge_Applauds_Biden
                  Administration_for_Fighting_To_Promote_Competition,_Lower
                  Prices_in_New_Budget⠀⇛


                       Today, President Biden unveiled his $7.3 trillion
                       proposed fiscal year 2025 budget to fund the
                       government, including efforts to bolster the
                       nation’s antitrust enforcement within the Antitrust
                       Division of the Department of Justice.


      § Monopolies/Monopsonies⠀➾


          o § Patents⠀➾


                # ⚓ Unified Patents ☛ Equitable_IP_entity_Scale_Video_Coding
                  multicast_network_patent_monopoly_prior_art_found⠀⇛


                       Unified is pleased to announce prior art has been
                       found on U.S._Patent_11,019,372, owned by Scale
                       Video Coding, LLC, an NPE and an Equitable IP
                       entity. The ‘372 patent monopoly generally relates
                       to an overlay multicast network may provide a set
                       of features to ensure reliable and timely arrival
                       of multicast data. The invention relates to the
                       management of data packets to support multicasting.


                # § Kangaroo Courts⠀➾


                      # ⚓ JUVE ☛ International_teams_to_assemble_in_Luxembourg
                        for_UPC_transparency_hearing [Ed: UPC is illegal and
                        unconstitutional. JUVE took bribes from Team UPC to
                        legitimise this crime and this fake kangaroo
                        'court'.]⠀⇛


                             The UPC’s Court of Appeal in Luxembourg is
                             getting set hear the next stage in the case
                             on transparency brought by London-based
                             Freshfields Bruckhaus Deringer partner,
                             Christopher Stothers.


                # § Software Patents⠀➾


                      # ⚓ Dennis Crouch/Patently-O ☛ Magic_Language_in_Patent
                        Applications⠀⇛


                             The Federal Circuit handed down a mixed
                             decision in Chewy, Inc. v. International
                             Business Machines Corp., 2022-1756 (Fed. Cir.
                             Mar. 5, 2024) ChewyvIBM. The district court
                             had ruled against the patentee (IBM) —
                             finding one patent monopoly ineligible and
                             the other not infringed.  On appeal, the
                             Federal Circuit largely affirmed, but found
                             one claim that passes through the pre-trial
                             gauntlet.  The patents at issue were IBM’s
                             U.S. Patent Nos. 7,072,849 and 7,076,443,
                             relating to improvements in web-based
                             advertising.  On remand, a jury may need to
                             decide whether claim 12 of the ‘849 patent
                             monopoly is valid and infringed.





                    ䷩ 𝚕𝚒𝚗𝚎 4613

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Links 12/03/2024: Russia's Lost Momentum,
Reddit is Offloaded to Gamblers⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Mar 12, 2024


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Church_of_St._Basil,_Red_Square_Moscow⦈_


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * Distributions_and_Operating_Systems
          o Leftovers
                # Standards/Consortia
                # Licensing_/_Legal
                # Science
                # Education
                # Hardware
                # Health/Nutrition/Agriculture
                # Proprietary/Artificial_Intelligence_(AI)
                # Security
                      # Privacy/Surveillance
                # Defence/Aggression
                # Transparency/Investigative_Reporting
                # Environment
                      # Energy/Transportation
                      # Wildlife/Nature
                      # Overpopulation
                # Finance
                # AstroTurf/Lobbying/Politics
                # Censorship/Free_Speech
                # Freedom_of_Information_/_Freedom_of_the_Press
                # Civil_Rights/Policing
                # Internet_Policy/Net_Neutrality
                # Digital_Restrictions_(DRM)
                # Monopolies/Monopsonies
                      # Copyrights
                      # Gemini*_and_Gopher
                            # Personal/Opinions
                            # Politics_and_World_Events
                            # Technology_and_Free_Software
    * § Distributions and Operating Systems⠀➾


          o § Leftovers⠀➾


                # ⚓ [Repeat] Tedium ☛ The_No_Symbol:_The_History_Of_The_Red
                  Circle-Slash⠀⇛


                       Today in Tedium: Recently, I heard someone talking
                       about the red circle and slash, and it made me
                       realize something—how little we actually talk about
                       the red circle and slash, one of the most obvious
                       symbols around. It’s used for all sorts of use
                       cases. If you search the U.S. Patent and Trademark
                       Office’s trademark archive, you will find all sorts
                       of cheesy or weird logos that reference this simple
                       tool of negation and prohibition. It is literally
                       the easiest way to add visual language to something
                       else that already exists, and turn it into a logo
                       or bumper sticker. And the reason is, simply put,
                       that it’s well understood. Does it have a name? A
                       purpose? Did someone specifically invent it? How
                       did it become so common, and why is it so clear
                       what it means, despite the fact that seemingly
                       nobody talks about it? Today’s Tedium considers the
                       unusually common red circle and slash. — Ernie @
                       Tedium


                # ⚓ Joel Chrono ☛ Website_changes,_Flexbox_and_stuff⠀⇛


                       A series of events happened that somehow made me
                       think I really should dedicate a bunch of time to
                       modifiying my website structure once again.


                       I am not quite sure of what exactly triggered me to
                       do this, but there are many things that made me
                       keep going at it until today. Among them is
                       sickness, and boredom and—Yep, pretty much that.


                # § Standards/Consortia⠀➾


                      # ⚓ Deutsche Welle ☛ 2024-02-29_[Older]_How_leap_years
                        are_viewed_across_the_globe⠀⇛


                      # ⚓ APNIC ☛ KeyTrap⠀⇛


                             The language of the press release is
                             certainly dramatic, with “devasting
                             consequences” and the threat to “completely
                             disable large parts of the worldwide
                             Internet.” If this is really so devastating
                             then perhaps, we should look at this in a
                             little more detail to see what’s going on,
                             how this vulnerability works, and what the
                             response has been.


                             But before we launch into the details of
                             KeyTrap perhaps it’s useful to understand the
                             respective roles of the DNS infrastructure.


                      # ⚓ APNIC ☛ Improving_Regional_Internet_Registry
                        alignment_in_the_RPKI_space⠀⇛


                             As a result of the Number Resource
                             Organization (NRO) Strategic Review Process,
                             which started in 2022, the NRO agreed to work
                             towards providing a robust, coordinated, and
                             secure Resource Public Key Infrastructure
                             (RPKI) service as one of the main priorities.


                # § Licensing / Legal⠀➾


                      # ⚓ Alex Ewerlöf ☛ Service_Level_Agreement⠀⇛


                             SLA stands for Service Level Agreement. The
                             agreement here refers to a legally binding
                             contract not just a handshake between teams
                             (that’s where internal SLO usually stops).


                             SLA is a legal layer on top of the SLO. Think
                             of it as a more serious objective on top of a
                             high-level indicator. It builds on top of
                             what we have covered so far: [...]


                # § Science⠀➾


                      # ⚓ RTL ☛ 18th-century_object_worth_millions:_Paganini's
                        violin_gets_X-ray_treatment_in_quest_of_sound_secrets⠀⇛


                             The European Synchrotron Radiation Facility
                             (ESRF), a particle accelerator in the
                             southeastern city of Grenoble, scanned the
                             instrument down to the cellular structure of
                             its wood.


                             The idea is to create a 3D model of the
                             violin in and out of which people can zoom,
                             down to a micron, or millionth of a metre.


                      # ⚓ Jamie Brandon ☛ Unexplanations:_relational_algebra_is
                        math⠀⇛


                             I see this claim appear in various forms:
                             relational algebra is math, is based on math,
                             comes from math, has strong mathematical
                             foundations.


                # § Education⠀➾


                      # ⚓ University of Michigan ☛ Americans’_trust_in_science
                        survived_polarization,_Trump_attacks⠀⇛


                             Trump’s attacks on scientific experts —
                             exemplified by criticism of Anthony Fauci,
                             former director of the National Institute of
                             Allergy and Infectious Diseases — increased
                             the level of partisan polarization in the
                             United States and made the question of
                             scientific expertise more salient to many
                             Americans.


                             The proportion of adults who had no attitude
                             about scientific expertise in 2016 dropped
                             significantly during the four years of the
                             Trump administration.


                      # ⚓ Phil Eaton ☛ First_month_on_a_database_team⠀⇛


                             A little over a month ago, I joined
                             EnterpriseDB on a distributed Postgres
                             product (PGD). The process of onboarding
                             myself has been pretty similar at each
                             company in the last decade, though I think
                             I've gotten better at it. The process is of
                             course influenced by the team, and my
                             coworkers have been excellent. Still, I
                             wanted to share my thought process and
                             personal strategies.


                # § Hardware⠀➾


                      # ⚓ Hackaday ☛ Stressless_Shortwave_Reviewed⠀⇛


                             [Dan Robinson] picked up a shortwave receiver
                             known as the “stressless” receiver kit. We
                             aren’t sure if the stress is from building a
                             more complicated kit or operating a more
                             complicated receiver. Either way, it is an
                             attractive kit that looks easy to build.


                      # ⚓ Hackaday ☛ A_555-Shaped_Discrete_Component_555⠀⇛


                             While the “should have used a 555” meme is
                             strong around these parts, we absolutely
                             agree with [Kelvin Brammer]’s decision to
                             make this 555-shaped plug-in replacement for
                             the 555 timer chip using discrete parts,
                             rather than just a boring old chip.


                # § Health/Nutrition/Agriculture⠀➾


                      # ⚓ Craig Murray ☛ Healthcare⠀⇛


                             I have a post on the political class’s
                             frenetic attempts to criminalise dissent
                             nearly finished, which I hope will be up
                             tonight.


                             [...] In the NHS I would have had to plead
                             for a receptionist at all for an appointment
                             to see a GP, and would have had to go to a
                             hospital for the X-Ray and ECG. Then they
                             would have probably decided to wait a week
                             before giving antibiotics.


                             The Greek system was simply massively,
                             massively a faster, more efficient and better
                             experience. It was entirely free, except for
                             38 euros for the four prescriptions.


                      # ⚓ Fenbendazole:_I’m_having_flashbacks_to_laetrile_and
                        Stanislaw_Burzynski⠀⇛


                             Nearly 17 years ago, Dr. Mark Hoofnagle
                             coined a term, crank magnetism, to describe
                             how believers in one form of pseudoscience,
                             quackery, and conspiracy theory almost
                             inevitably start believing in multiple forms
                             of pseudoscience, quackery, and conspiracy
                             theories. At the time, he was discussing how
                             creationists were attracted to the arguments
                             of HIV/AIDS denier Peter Duesberg because
                             they thought that these arguments somehow
                             also undermined evolution as well. Back
                             around the same time, inspired by Dr.
                             Hoofnagle’s term, I noticed so many more
                             examples. I’ll cite a few, not so much
                             because readers might be familiar with them
                             (although some longtime readers might), but
                             just to show that crank magnetism, as new as
                             it might seems to so many of my colleagues
                             who had never noticed it before, is, in fact
                             nothing new:


                      # ⚓ India Times ☛ Tiny_plastic_particles_in_blood_vessels
                        raise_heart_attack,_stroke_risk:_study_-_Times_of
                        India⠀⇛


                             Researchers from the University of Campania
                             Luigi Vanvitelli in Naples, Italy enrolled
                             257 patients who came for surgery to remove
                             plaque or fatty deposits in the carotid
                             artery – arteries present on the side of the
                             neck that supplies blood to the brain.


                      # ⚓ CBC ☛ 2024-02-29_[Older]_U.S._senators_demand_answers
                        from_Pfizer_about_a_$50_donation_to_a_Canadian_MAID
                        group⠀⇛


                      # ⚓ CBC ☛ 2024-02-29_[Older]_She_mourned_her_son's_death
                        at_an_Ottawa_hospital._Then_he_sent_her_a_text
                        message⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-03-05_[Older]_Menopause_needs_a
                        societal_rethink⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-03-04_[Older]_France_makes
                        abortion_a_constitutional_right⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-03-04_[Older]_Why_France
                        enshrined_abortion_rights_in_its_constitution⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-03-02_[Older]_US_pharmacy
                        giants_to_start_selling_abortion_pill⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-03-04_[Older]_Gaza:_Famine
                        looms_due_to_aid_restrictions⠀⇛


                      # ⚓ CBC ☛ 2024-03-01_[Older]_Sask._wants_details_before
                        joining_federal_pharmacare_plan⠀⇛


                      # ⚓ CBC ☛ 2024-03-01_[Older]_Regina_drivers_pulled_over
                        for_any_reason_this_month_will_have_to_take_a_sobriety
                        test⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-02-29_[Older]_Global
                        malnourishment:_1_in_8_people_are_obese⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-03-03_[Older]_Fact_check:_Are
                        dietary_supplements_a_rip-off?⠀⇛


                # § Proprietary/Artificial Intelligence (AI)⠀➾


                      # ⚓ Mastering_USPTO_DOCX_Formats:_The_Ultimate_Guide [Ed:
                        USPTO now forcing people to use proprietary Microsoft
                        formats or pay heavy penalties. This serves to show how
                        corrupt this office has become; its Director, Vidal,
                        used to work for Microsoft.]⠀⇛


                             The U.S. Patent and Trademark Office (USPTO)
                             has been working diligently towards
                             introducing a system supporting the
                             submission of new patent monopoly
                             applications in structured text, particularly
                             utilizing the DOCX format, over the past few
                             years.


                      # ⚓ India Times ☛ ai_europe:_AI_talent_war_heats_up_in
                        Europe⠀⇛


                             Riding the investment wave, a crop of foreign
                             AI firms - including Canada's Cohere and
                             U.S.-based Anthropic and OpenAI - opened
                             offices in Europe last year, adding to
                             pressure on tech companies already trying to
                             attract and retain talent in the region.


                      # ⚓ MIT Technology Review ☛ LLMs_become_more_covertly
                        racist_with_human_intervention⠀⇛


                             Since their inception, it’s been clear that
                             large language models like ChatGPT absorb
                             racist views from the millions of pages of
                             the [Internet] they are trained on.
                             Developers have responded by trying to make
                             them less toxic. But new research suggests
                             that those efforts, especially as models get
                             larger, are only curbing racist views that
                             are overt, while letting more covert
                             stereotypes grow stronger and better hidden.


                             Researchers asked five AI models—including
                             OpenAI’s GPT-4 and older models from Facebook
                             and Google—to make judgments about speakers
                             who used African-American English (AAE). The
                             race of the speaker was not mentioned in the
                             instructions.


                      # ⚓ Pro Publica ☛ After_Walmart_Bought_Finance_App_One,
                        Complaints_Soared⠀⇛


                             Only a few hours elapsed between the time
                             that Carl’s pay landed in his checking
                             account and when online thieves pilfered it.
                             “They took all of it but like 67 cents,” he
                             said. Months before, Carl had signed up for
                             One Finance, a banking app. It’s owned and
                             promoted by Walmart, where Carl works in a
                             grocery department.


                             He was enticed by features like cash back on
                             purchases at Walmart and the chance to
                             receive his pay two days early, as well as by
                             low fees and high interest rates. Everything
                             was fine until Carl used his One debit card —
                             for the very first time — to buy a video game
                             at Walmart last fall. The next time he
                             checked the app, he saw a series of
                             unauthorized transactions that had drained
                             his account. To get by, he tapped his
                             savings, which he said was “just enough to
                             cover everything.” Carl asked to be
                             identified by first name only out of concern
                             for his job security.


                      # ⚓ Ghacks ☛ Microsoft_starts_rollout_of_Windows_DMA
                        compliance_changes_in_Europe_-_gHacks_Tech_News⠀⇛


                             Microsoft has started the rollout of Digital
                             Markets Act changes in its Windows 10 and 11
                             operating systems for users from the European
                             Economic Area.


                # § Security⠀➾


                      # § Privacy/Surveillance⠀➾


                            # ⚓ EFF ☛ EFF’s_Submission_to_Ofcom’s_Consultation
                              on_Illegal_Harms⠀⇛


                                   For years, we opposed a clause
                                   contained in the then Online Safety
                                   Bill allowing Ofcom to serve a notice
                                   requiring tech companies to scan their
                                   users–all of them–for child abuse
                                   content. We are pleased to see that
                                   Ofcom’s recent statements note that the
                                   Online Safety Act will not apply to
                                   end-to-end encrypted messages.
                                   Encryption backdoors of any kind are
                                   incompatible with privacy and human
                                   rights. However, there are places in
                                   Ofcom’s documentation where this
                                   commitment can and should be clearer.
                                   In our submission, we affirmed the
                                   importance of ensuring that people’s
                                   rights to use and benefit from
                                   encryption—regardless of the size and
                                   type of the online service. The
                                   commitment to not scan encrypted data
                                   must be firm, regardless of the size of
                                   the service, or what encrypted services
                                   it provides. For instance, Ofcom has
                                   suggested that “file-storage and file-
                                   sharing” may be subject to a different
                                   risk profile for mandating scanning.
                                   But encrypted “communications” are not
                                   significantly different from encrypted
                                   “file-storage and file-sharing.”In this
                                   context, Ofcom should also take note of
                                   new milestone judgment in PODCHASOV v.
                                   RUSSIA (Application no. 33696/19) where
                                   the European Court of Human Rights
                                   (ECtHR) ruled that weakening encryption
                                   can lead to general and indiscriminate
                                   surveillance of communications for all
                                   users, and violates the human right to
                                   privacy. 


                            # ⚓ The Register UK ☛ European_Commission_broke
                              data_protection_law_with_Microsoft⠀⇛


                                   The European Commission has been
                                   reprimanded for infringing data
                                   protection regulations when using
                                   Microsoft 365.


                                   The rebuke came from the European Data
                                   Protection Supervisor (EDPS) and is the
                                   culmination of an investigation that
                                   kicked off in May 2021, following the
                                   Schrems II judgement.


                            # ⚓ El País ☛ Why_the_iris_offers_the_most_precious
                              biometric_data⠀⇛


                                   The Spanish Data Protection Agency
                                   (AEPD) made an unprecedented decision
                                   this past Wednesday. For the next three
                                   months, the Worldcoin orbs will no
                                   longer be allowed to operate in the
                                   country. Since July 2023, these devices
                                   have scanned the irises of some 400,000
                                   Spaniards, in order to validate their
                                   accounts and reward them with a batch
                                   of cryptocurrencies (which have a cash
                                   value of about $80).


                                   The data collected to-date by Worldcoin
                                   — a company linked to Sam Altman, the
                                   godfather of ChatGPT — is currently
                                   blocked. It cannot be processed or
                                   shared, until an international
                                   investigation decides whether or not
                                   it’s legal for a private company to
                                   collect this type of data.


                            # ⚓ The Verge ☛ Airbnb_is_banning_indoor_security
                              cameras⠀⇛


                                   Airbnb will no longer allow hosts to
                                   use indoor security cameras, regardless
                                   of where they’re placed or what they’re
                                   used for. In an update on Monday,
                                   Airbnb says the change to “prioritize
                                   the privacy” of renters goes into
                                   effect on April 30th.


                                   The vacation rental app previously let
                                   hosts install security cameras in
                                   “common areas” of listings, including
                                   hallways, living rooms, and front
                                   doors. Airbnb required hosts to
                                   disclose the presence of security
                                   cameras in their listings and make them
                                   clearly visible, and it prohibited
                                   hosts from using cameras in bedrooms
                                   and bathrooms.


                            # ⚓ Gizmodo ☛ Airbnb_Finally_Bans_Creepy_Indoor
                              Cameras_at_Properties_Worldwide⠀⇛


                                   Airbnb is banning all indoor security
                                   cameras at properties worldwide,
                                   according to an announcement published
                                   online Monday. The change comes after
                                   years of horror stories circulating
                                   online about secret hidden security
                                   cameras, which have long been banned on
                                   the platform, though still pop up
                                   frequently around the world.


                            # ⚓ The Register UK ☛ No_more_indoor_security
                              cameras_in_rentals,_says_Airbnb⠀⇛


                                   Airbnb guests will be delighted to know
                                   that their short-term rentals don't
                                   contain indoor security cameras – once
                                   a change to the platform's community
                                   policy takes effect at the end of
                                   April.


                                   Airbnb on Monday posted news of its
                                   plan to ban the use of indoor security
                                   cameras in its listings. The use of
                                   indoor security cameras – in common
                                   areas only – was previously allowed.


                # § Defence/Aggression⠀➾


                      # ⚓ Democracy Now ☛ “Empire’s_Laboratory”:_How_2004_U.S.-
                        Backed_Coup_Destabilized_Haiti_&_Led_to_Current
                        Crisis⠀⇛


                             Caribbean leaders are holding an emergency
                             meeting in Jamaica today to discuss the
                             crisis in Haiti, where armed groups are
                             calling for the resignation of unelected
                             Prime Minister Ariel Henry. Haiti is under a
                             state of emergency, with tens of thousands
                             displaced amid the fighting, and United
                             Nations officials warn the country’s health
                             system is nearing collapse. Ariel Henry was
                             appointed prime minister after the 2021
                             assassination of President Jovenel Moïse, but
                             he is currently stranded outside the country
                             after a trip to Kenya, where he was seeking a
                             U.N.-backed security force to help him
                             maintain power. For more, we speak with
                             Haitian American scholar Jemima Pierre, who
                             says the unrest in Haiti today can be traced
                             to decisions made two decades ago by the
                             United States and other outside powers. “The
                             root of this crisis is not last week, it’s
                             not this week, it’s not even Ariel Henry. But
                             we have to go back to 2004 with the coup-
                             d’état,” says Pierre. She adds that because
                             successive security plans have been
                             sanctioned by the United Nations Security
                             Council, “the whole world is participating in
                             the occupation of Haiti unwittingly.”


                      # ⚓ Democracy Now ☛ Guilty:_U.S.-Backed_Former_Honduran
                        President_Juan_Orlando_Hernández_Convicted_of_Drug
                        Trafficking⠀⇛


                             Former Honduran President Juan Orlando
                             Hernández was found guilty of cocaine
                             trafficking Friday after a two-week trial in
                             a New York federal court, where prosecutors
                             accused Hernández of ruling the Central
                             American country as a narco-state and
                             accepting millions of dollars in bribes from
                             cocaine traffickers in exchange for
                             protection. He faces a possible life
                             sentence. Hernández served as president of
                             Honduras from 2014 to 2022 and was a close
                             U.S. ally despite mounting reports of human
                             rights violations and accusations of
                             corruption and involvement with drug
                             smuggling during his tenure. Hernández was
                             arrested less than a month after his term
                             ended and was extradited to the United States
                             in April 2022. “The majority feeling is
                             satisfaction, a feeling of progress in
                             achieving justice,” says activist Camilo
                             Bermúdez from Tegucigalpa. He is a member of
                             the Civic Council of Popular and Indigenous
                             Organizations of Honduras, the organization
                             founded by Berta Cáceres, the Lenca
                             Indigenous environmental defender who was
                             assassinated in 2016 while Juan Orlando
                             Hernández was president. We also speak with
                             Dana Frank, professor of history emerita at
                             the University of California, Santa Cruz, who
                             says the 2009 U.S.-backed coup against
                             President Manuel Zelaya set the stage for the
                             corrupt governments that followed. While U.S.
                             prosecutors may have convicted Hernández,
                             Frank stresses that multiple U.S.
                             administrations “legitimated and celebrated
                             him.”


                      # ⚓ Marcy Wheeler ☛ SCOTUS_Lines_Up_Behind_Trump’s
                        Defensive_Strategy_-_emptywheel⠀⇛


                             There is no doubt the Republicans on SCOTUS
                             (hereinafter R-SCOTUS) are lined up behind
                             Trump in his criminal cases. The timeline in
                             the ridiculous immunity case and the decision
                             in the Colorado ballot case are clear
                             demonstrations of their commitment to his
                             reelection despite his obvious unfitness for
                             office.


                      # ⚓ The Strategist ☛ Why_Chinese_policing_in_Pacific
                        island_countries_is_a_problem⠀⇛


                             Chinese police have been found to work with
                             criminal groups in foreign countries to
                             establish informal police stations. The
                             presence of such establishments was first
                             reported in 2022 by the international NGO
                             Safeguard Defenders, which focuses on
                             transnational repression by China. It counted
                             more than 100 of them in 53 countries.


                      # ⚓ France24 ☛ Trump_promises_to_free_US_Capitol_
                        [insurrectionists]_if_reelected⠀⇛


                             The [insurrectionists] -- egged on by the
                             then-president and fueled by his false claims
                             of voter fraud -- stormed the seat of US
                             democracy on January 6, 2021, in a bid to
                             halt the transfer of power to Joe Biden.


                             Around 1,358 defendants have been charged in
                             the 38 months since then, according to the
                             latest figures from the Justice Department
                             released last week. About 500 have been
                             sentenced to prison terms.


                      # ⚓ The Hill ☛ Boeing_whistleblower_found_dead_in
                        apparent_suicide⠀⇛


                             John Barnett, 62, died of an apparent self-
                             inflicted wound on Friday, the Charleston
                             County Coroner’s office said. He was found in
                             his truck at his hotel’s parking lot.


                             A 32-year veteran of Boeing, Barnett’s 2019
                             whistleblower allegations claimed that
                             overworked employees at its South Carolina
                             plant frequently fitted substandard parts on
                             planes and reported faulty oxygen systems
                             that could result in as many as 1 in 4 oxygen
                             masks not operating properly.


                      # ⚓ The Hill ☛ Heritage_backs_bill_banning_TikTok⠀⇛


                             “Heritage Action SUPPORTS the bipartisan
                             Protecting Americans from Foreign Adversary
                             Controlled Applications Act. This bill will
                             protect Americans from the influence of the
                             CCP through TikTok,” the group wrote on
                             social media, using an acronym for the
                             Chinese Communist Party.


                             The House is set to vote on a bill this week
                             that would force ByteDance — the China-based
                             parent company of TikTok — to divest itself
                             of the video app or face a ban on the
                             platform in the U.S. The bill, sponsored by
                             Reps. Mike Gallagher (R-Wis.) and Raja
                             Krishnamoorthi (D-Ill.), advanced out of the
                             House Energy and Commerce Committee with
                             unanimous support on Thursday.


                      # ⚓ Axios ☛ TikTok_ban:_House_vote_set_for_Wednesday
                        morning⠀⇛


                             Tensions between Congress and TikTok have
                             reached a boiling point ahead of a high-
                             stakes House vote — scheduled for Wednesday —
                             that could lead to a U.S. ban of the
                             massively popular video app.


                             Why it matters: Intense lobbying is underway
                             on both sides of the bipartisan bill, which
                             would force Beijing-based Bytedance to divest
                             its ownership of TikTok within 165 days.
                             TikTok CEO Shou Zi Chew is expected to visit
                             Capitol Hill this week as part of the
                             company's full-court press.


                      # ⚓ RTL ☛ Major_reversal:_TikTok_dragged_into_US_election
                        as_Trump_opposes_ban⠀⇛


                             In a major reversal, former US president
                             Donald Trump on Monday said he was against a
                             ban of TikTok as the fate of the popular
                             video-sharing app was dragged into the US
                             election campaign.


                             Years of on-and-off attempts of banning the
                             Chinese owned app have resurged in the United
                             States with the introduction of a bill in
                             Congress that could see the app forced to cut
                             ties with its Chinese owner, Bytedance.


                             The US House of Representatives could vote
                             this week on the bill with furious lobbying
                             on both sides making it hard to predict the
                             outcome, and the stance of Trump could prove
                             key for Republicans.


                      # ⚓ Digital Music News ☛ Possible_TikTok_Bidder_Emerges
                        As_Forced_Sale_Bill_Draws_Support⠀⇛


                             Beyond the considerations associated with
                             raising the sizable sum at hand, different
                             prospective buyers would undoubtedly come to
                             the table should the forced-sale legislation,
                             specifically the Protecting Americans from
                             Foreign Adversary Controlled Applications
                             Act, become law. (About four years back, as
                             part of a separate government-powered push
                             for TikTok’s sale, Microsoft appeared poised
                             to buy the platform.)


                      # ⚓ New York Times ☛ Despite_Trump’s_Opposition_to_TikTok
                        Ban,_House_Moves_Ahead_With_Bill⠀⇛


                             “We must ensure the Chinese government cannot
                             weaponize TikTok against American users and
                             our government through data collection and
                             propaganda,” Mr. Scalise said in his weekly
                             preview of legislation to be considered on
                             the House floor.


                             The 13-page bill is the product of the Select
                             Committee on the Chinese Communist Party,
                             which has served as an island of
                             bipartisanship in the polarized House. The
                             House Energy and Commerce Committee voted
                             unanimously last week to advance the
                             legislation, which would remove TikTok from
                             app stores in the United States by Sept. 30
                             unless its Beijing-based parent company,
                             ByteDance, sold its stake.


                      # ⚓ India Times ☛ TikTok_a_US_security_threat,_says
                        Trump,_similar_to_Facebook⠀⇛


                             Republican U.S. presidential candidate Donald
                             Trump on Monday told CNBC on Monday that
                             TikTok was a national security threat but
                             likened it to threats posed by other social
                             media networks such as Meta's Facebook.


                      # ⚓ Kansas Reflector ☛ Late-breaking_history:_the_f
                        word⠀⇛


                             So now I turn to the most challenging
                             question in my notebook of column ideas, the
                             issue that might be the hardest to tackle,
                             the one requiring perhaps the broadest view:
                             Why are Americans more willing to embrace
                             fascism now than at any time in living
                             memory?


                             This is not a question posed for the sake of
                             shock value, though the facts supporting it
                             are shocking enough. Take a look at what
                             historian John Ganz and others recently had
                             to say about American fascism, or consult
                             this Gallup poll on the country’s sharp move
                             to the right since 2021, or the presumptive
                             Republican nominee for president’s
                             increasingly authoritarian rhetoric.


                      # ⚓ The Scotsman ☛ Atkins_warns_against_allowing
                        extremist_views_to_'percolate'_through_society⠀⇛


                             Mr Gove warned some of the "good-hearted"
                             people who have taken part in the series of
                             protests since the Israel-Hamas war began
                             could have inadvertently given credence to
                             events organised or attended by extremists.


                             Health Secretary Victoria Atkins warned:
                             "There are some people, sadly, who hold views
                             that are contrary to the values that we hold
                             as a country and we should not allow those
                             views to percolate through society".


                      # ⚓ Meduza ☛ ‘They_could_start_to_resist’_How_the_Russian
                        authorities_are_working_to_indoctrinate_and_digitally
                        surveil_deported_Ukrainian_children⠀⇛


                             Since the start of the full-scale war in
                             Ukraine, the Russian Education Ministry has
                             been developing a set of methods for
                             “reeducating” Ukrainian children who have
                             been forcibly deported to Russia. The
                             documents outlining these methods state that
                             a “destructive ideology” is widespread among
                             Ukrainian teenagers and that Russian teachers
                             and social workers must “re-educate” the
                             “rising generation” based on the “spiritual-
                             moral values” and “historical and national-
                             cultural traditions of the Russian
                             Federation.” The ultimate aim is for the
                             deported minors to “develop a Russian
                             identity.”


                      # ⚓ Deutsche Welle ☛ 2024-03-05_[Older]_North_Korea
                        threatens_South,_US_over_joint_military_drills⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-03-04_[Older]_Does_India
                        influence_Bangladesh_politics?⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-03-05_[Older]_Has_rape_become
                        normalized_in_India?⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-03-04_[Older]_Indian_police
                        hunt_for_suspects_after_tourist_gang_raped⠀⇛


                      # ⚓ CBC ☛ 2024-02-29_[Older]_Court_upholds_Quebec_law
                        that_bars_teachers,_police_from_wearing_religious
                        symbols⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-03-05_[Older]_Venezuela:_Maduro
                        calls_DW_'Nazi'_outlet_after_graft_report⠀⇛


                      # ⚓ Jacobin Magazine ☛ 2024-02-29_[Older]_Canada_Strongly
                        Supported_Haiti’s_2004_Coup_d’État⠀⇛


                      # ⚓ CBC ☛ 2024-03-01_[Older]_Why_Italy's_far-right_leader
                        Giorgia_Meloni_is_sure_to_get_a_warm_reception_in
                        Canada⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-03-05_[Older]_Tour_du_Rwanda:
                        Probe_underway_into_sexual_abuse_claims⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-03-06_[Older]_Suspected
                        Islamists_kidnap_nearly_50_women_in_Nigeria⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-03-06_[Older]_UK_lowers_N.
                        Ireland_terror_threat_after_year_on_'severe'⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-03-06_[Older]_Will_China's
                        tough_talk_on_Taiwan_translate_into_action?⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-03-05_[Older]_German_government
                        agrees_payment_card_for_asylum-seekers⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-03-05_[Older]_Germany_falls
                        short_on_women_in_parliament,_Rwanda_on_top⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-03-05_[Older]_Germany:_Police
                        wounds_woman_in_stand-off_at_hospital⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-03-04_[Older]_Germany's_spy
                        scandal_raises_tough_questions_from_NATO_allies⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-02-29_[Older]_Japan
                        commemorates_US_nuclear_test_in_Pacific_70_years
                        later⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-02-29_[Older]_Mali's_military
                        in_the_north:_The_struggle_for_control⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-03-03_[Older]_Belgium:_Police
                        arrest_4_teens_over_alleged_jihadi_plot⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-03-03_[Older]_Berlin_police
                        seize_suspected_home_of_RAF_fugitive⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-03-03_[Older]_Burkina_Faso:_170
                        people_'executed'_in_attacks_on_villages⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-03-03_[Older]_Germany_aims_to
                        confront_extremism_in_Sahel_region⠀⇛


                      # ⚓ CBC ☛ 2024-03-03_[Older]_Toronto_police_reviewing
                        pro-Palestinian_protest_that_prompted_Trudeau_team_to
                        scrap_event⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-02-29_[Older]_Bangladesh:
                        Dozens_killed_in_fire,_says_health_minister⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-02-29_[Older]_EU_unblocks
                        frozen_funding_for_Poland⠀⇛


                      # ⚓ CS Monitor ☛ Seven_Oscars_for_‘Oppenheimer,’_a
                        fittingly_foreboding_film_for_the_times⠀⇛


                             Christopher Nolan’s “Oppenheimer” swept the
                             Academy Awards show with seven wins,
                             including the Oscar for best picture.


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


                            # ⚓ Meduza ☛ Russian_lawmakers_seek_to_annul
                              Soviet-era_transfer_of_Crimea_to_Ukraine_—
                              Meduza⠀⇛


                            # ⚓ Meduza ☛ ‘The_important_thing_is_what_people
                              believe’:_Russian_opposition_figures_on_the
                              controversial_‘Noon_Against_Putin’_election
                              protest_strategy_—_Meduza⠀⇛


                            # ⚓ France24 ☛ Five_things_to_know_about_Russia’s
                              upcoming_presidential_election⠀⇛


                                   Russian President Vladimir Putin is
                                   seeking a fifth term as Russians vote
                                   from Friday to Sunday in an election
                                   that has already raised transparency
                                   and accountability concerns. After two
                                   anti-war candidates were disqualified,
                                   the remaining three have all supported
                                   the Russian invasion of Ukraine.


                            # ⚓ New York Times ☛ With_Pride_and_Hope,_Ukraine
                              Celebrates_Oscar_Win_for_Mariupol_Documentary⠀⇛


                                   Ukrainians say recognition for “20 Days
                                   in Mariupol” will help debunk Russian
                                   propaganda and refocus attention on the
                                   situation in Russian-occupied
                                   territories.


                            # ⚓ RFERL ☛ Ukraine_Hails_Oscar_Winner_'20_Days_In
                              Mariupol';_Navalny_Remembered⠀⇛


                                   Ukrainians hailed Mstyslav Chernov's 20
                                   Days In Mariupol, a harrowing first-
                                   person account of the early days of
                                   Russia's full-scale invasion of Ukraine
                                   in February 2022 that won the Academy
                                   Award for best documentary, saying they
                                   hope it "keeps other Mariupols" from
                                   happening.


                            # ⚓ RFERL ☛ Imprisoned_Kara-Murza_Says_Putin's_Rule
                              Based_'Exclusively_On_Fear_And_Apathy'⠀⇛


                                   Imprisoned Russian opposition
                                   politician Vladimir Kara-Murza said in
                                   an exchange of letters with blogger
                                   Anna Yarovaya that Russian President
                                   Vladimir Putin's rule is based
                                   "exclusively on fear and apathy," and
                                   will collapse in the "foreseeable
                                   future."


                            # ⚓ Latvia ☛ Russia_trying_to_recruit_spies_in
                              Latvia,_says_security_service⠀⇛


                                   The interests of the Russian special
                                   services last year were to recruit and
                                   train persons to carry out harmful
                                   activities not only in Ukraine, but
                                   also in the Baltic countries, including
                                   Latvia, according to the 2023 activity
                                   report of the State Security Service
                                   (VDD).


                            # ⚓ France24 ☛ Zelensky_says_Russian_advances_in
                              Ukraine_'halted'⠀⇛


                                   Ukrainian President Volodymyr Zelensky
                                   said Monday that Russian advances had
                                   been "halted" in Ukraine and the
                                   situation was now "much better" for his
                                   troops than in recent months.


                            # ⚓ France24 ☛ Sweden’s_flag_raised_over_NATO
                              headquarters_as_membership_cemented⠀⇛


                                   Sweden’s flag was raised at NATO
                                   headquarters on Monday, cementing the
                                   Nordic country’s place as the 32nd
                                   member two years after Russia’s full-
                                   scale invasion of Ukraine persuaded its
                                   reluctant public to seek safety under
                                   the alliance’s security umbrella.


                            # ⚓ Atlantic Council ☛ Ukraine’s_Oscar_win_puts
                              Russia’s_war_crimes_back_in_international
                              spotlight⠀⇛


                                   Ukraine's historic Oscar win for the
                                   documentary film "20 Days in Mariupol"
                                   puts Russia's war crimes firmly back
                                   into the international spotlight,
                                   writes Peter Dickinson.


                            # ⚓ RFERL ☛ Following_Pope's_Comments,_NATO_Head
                              Says_Ukraine_Needs_Weapons,_Not_White_Flags⠀⇛


                                   NATO Secretary-General Jens Stoltenberg
                                   dismissed a call by Pope Francis for
                                   Ukraine to "raise the white flag and
                                   negotiate with Russia," saying the best
                                   way to end the conflict is to arm Kyiv.


                            # ⚓ RFERL ☛ Borrell_Urges_EU_To_Beef_Up_Defense
                              Industry_For_Potential_Threats,_Keep_Aiding
                              Ukraine⠀⇛


                                   EU foreign policy chief Josep
                                   Borrell has urged the bloc to
                                   strengthen its defense industry and
                                   replenish its stockpiles in order to be
                                   ready to face "potential threats" while
                                   continuing to provide military aid to
                                   Ukraine.


                            # ⚓ RFERL ☛ Russian_Conviction_Of_Former_Mediazona
                              Publisher_Verzilov_Canceled⠀⇛


                                   The Moscow City Court on March 11
                                   canceled the verdict and sentence of
                                   Pyotr Verzilov, the former publisher of
                                   the independent media website
                                   Mediazona, citing procedural
                                   violations, and sent the case back for
                                   retrial.


                            # ⚓ RFERL ☛ Belarus_Begins_'Comprehensive'_Check_Of
                              Combat_Preparedness⠀⇛


                                   The armed forces of Belarus have begun
                                   a "comprehensive" checkup of combat
                                   readiness, the Defense Ministry said in
                                   a statement on March 11 on Telegram.


                            # ⚓ teleSUR ☛ Ukraine_Not_To_Raise_the_White_Flag
                              to_Negotiate_With_Russia⠀⇛


                                   Previously, Pope Francis said that
                                   Ukraine should have the courage to
                                   engage in a peace negotiation process.


                            # ⚓ RFERL ☛ Hungary's_Orban_Says_Trump's_Plan_To
                              End_Ukraine_War_Is_To_Cut_Funding⠀⇛


                                   Hungarian Prime Minister Viktor Orban,
                                   back in the country after a private
                                   meeting in the United States with
                                   Donald Trump, said the former president
                                   has "quite detailed plans" about how to
                                   end Russia's war against Ukraine and
                                   won't give Kyiv any further funding to
                                   hasten an end to the conflict.


                            # ⚓ RFERL ☛ Report:_Ukraine_May_Get_F-16s_By_July,
                              But_Only_6_Out_Of_45⠀⇛


                                   Ukraine may only receive six out of
                                   some 45 U.S.-made F-16 fighter jets
                                   promised by its Western allies by July,
                                   according to The New York Times.


                            # ⚓ RFERL ☛ Ukraine_Downs_15_Out_Of_25_Russian
                              Drones;_Damage_Reported_In_Kharkiv⠀⇛


                                   Ukrainian air defenses shot down 15 out
                                   of the 25 drones that Russia launched
                                   at Ukraine's territory on March 11, the
                                   military said, adding that Russian
                                   shelling caused victims among civilians
                                   as well as material damage.


                            # ⚓ The Straits Times ☛ German_bishops_call_on
                              Vatican_to_clarify_pope's_Ukraine_'white_flag'
                              remarks⠀⇛


                                   German Catholic bishops on Monday
                                   called on the Vatican to clarify
                                   remarks in which Pope Francis said
                                   Ukraine should have "the courage of the
                                   white flag" and negotiate an end to the
                                   conflict with Russia.


                            # ⚓ New York Times ☛ Ukraine_Faces_Losses_Without
                              More_U.S._Aid,_Officials_Say⠀⇛


                                   William J. Burns, the C.I.A. director,
                                   and Avril D. Haines, the director of
                                   national intelligence, described an
                                   increasingly dire situation.


                            # ⚓ Security Week ☛ The_French_Government_Says_It’s
                              Being_Targeted_by_Unusual_Intense_Cyberattacks⠀⇛


                                   A group of hackers called Anonymous
                                   Sudan, considered by cybersecurity
                                   experts as pro-Russia, claimed
                                   responsibility for the attacks in
                                   online posts.


                            # ⚓ LRT ☛ Lithuanian_high_school_students_refuse_to
                              compete_against_Russians_in_robotics
                              championship⠀⇛


                                   Lithuanian high school students, who
                                   competed in the European Robotics
                                   Championship in Italy over the weekend,
                                   refused to face a Russian team.


                            # ⚓ RFERL ☛ Montenegro's_Pro-Russian_Parliament
                              Speaker_Survives_No-Confidence_Vote⠀⇛


                                   Andrija Mandic, the pro-Russian head of
                                   the New Serbian Democracy party, will
                                   continue to serve as the speaker of the
                                   Montenegrin parliament after surviving
                                   a no-confidence vote.


                            # ⚓ RFERL ☛ Former_Russian_Banker_Forced_To_End
                              Philanthropy_Projects_After_'Foreign_Agent'
                              Designation⠀⇛


                                   A former Russian tycoon who made a
                                   fortune in retail and banking has been
                                   forced to end his philanthropy projects
                                   aimed at fighting leukemia after Moscow
                                   designated him a "foreign agent."


                            # ⚓ RFERL ☛ Kremlin_Declines_To_Comment_On_Report
                              That_Russia_Has_New_Navy_Chief⠀⇛


                                   Russia has appointed Admiral Aleksandr
                                   Moiseyev as acting commander-in-chief
                                   of the Russian Navy, replacing Admiral
                                   Nikolai Yevmenov, the Fontanka news
                                   outlet and the Izvestia newspaper
                                   reported on March 10, citing
                                   unidentified sources.


                            # ⚓ teleSUR ☛ Russia_Denounces_Israel’s_Obstruction
                              to_Investigate_Crimes_in_Gaza⠀⇛


                                   Palestine Receives Collective
                                   Punishment for Hamas Actions


                            # ⚓ teleSUR ☛ Russia,_Iran_and_China_Conduct_Joint
                              Maritime_Maneuvers⠀⇛


                                   The Russian Ministry of Defence
                                   reported that the purpose of the
                                   manoeuvres is to check the safety of
                                   maritime economic activities in the
                                   Arabian Sea and the Gulf of Oman.


                            # ⚓ Marcy Wheeler ☛ Tucking_In_Alexander_Smirnov:
                              Abbe_Lowell_Accuses_David_Weiss_of_Doing_Russia’s
                              Bidding⠀⇛


                                   Abbe Lowell just pointed to the Scott
                                   Brady transcript to claim that David
                                   Weiss was doing Russia's bidding by
                                   reneging on the plea deal with Hunter
                                   Biden.


                            # ⚓ RFERL ☛ Former_Leader_Of_Independent_Labor
                              Union_In_Belarus_On_Trial⠀⇛


                                   The former chairwoman of an independent
                                   labor union at the Naftan oil refinery
                                   in Belarus went on trial in the
                                   northeastern city of Vitsebsk on March
                                   11 on a charge of inciting hatred.


                            # ⚓ RFERL ☛ Belarusian_Court_Liquidates_Banned
                              BelaPAN_News_Agency⠀⇛


                                   A court in Minsk has ordered the
                                   liquidation of the banned independent
                                   news agency BelaPAN amid an intensified
                                   crackdown on media and civil society in
                                   Belarus following the 2020 disputed
                                   presidential election that handed
                                   victory to authoritarian ruler
                                   Alyaksandr Lukashenka.


                            # ⚓ JURIST ☛ Kazakhstan_dispatch:_IAEA_Nuclear
                              Security_summit_co-chaired_by_Kazakhstan_will
                              address_major_arms_control_and_safety
                              challenges⠀⇛


                                   Aidana Tastanova is a Kazakhstan
                                   national and a 4th-year law student
                                   attending the Moscow State Institute of
                                   International Relations under a Kazakh
                                   government scholarship.


                # § Transparency/Investigative Reporting⠀➾


                      # ⚓ Hindustan Times ☛ Boeing_whistleblower_found_dead,
                        here's_what_he_had_exposed_about_aircraft_giant_-
                        Hindustan_Times⠀⇛


                             Barnett raised disquiet on the use of
                             components that failed the statuary checks in
                             the frame of 787 aircraft production. He
                             claimed that the strains on the workers were
                             the reasons why they were forced install such
                             substandard parts after production started in
                             South Carolina. He complained about the
                             production process and his feeling that it
                             was unsafe and hasty.


                      # ⚓ TMZ ☛ Boeing_Whistleblower_Dies_by_Suicide_Amid
                        Involvement_in_Lawsuit_with_Company⠀⇛


                             A whistleblower who was at war with Boeing
                             died last week -- and investigators say it
                             appears he took his own life, this while he
                             was embroiled in a lawsuit against the
                             company.


                             John Barnett was discovered dead on Saturday
                             out in Charleston, SC -- where cops say his
                             body was found in his truck in a hotel
                             parking lot ... with him suffering an
                             apparent self-inflicted gunshot wound. No
                             word on if foul play is suspected -- but
                             police are investigating.


                      # ⚓ Gizmodo ☛ Boeing_Whistleblower_Who_Raised_Safety
                        Concerns_Found_Dead⠀⇛


                             BBC reports that, in the “days before his
                             death, he had been giving evidence in a
                             whistleblower lawsuit against the company.”
                             Barnett had been scheduled to appear in court
                             again on Saturday for his third day of
                             depositions related to the suit but never
                             showed, the BBC reports. After his failure to
                             appear, a call was put out to look for
                             Barnett. He was subsequently found dead in
                             his truck, which was in the parking lot of
                             the motel he was staying at, the outlet
                             writes.


                      # ⚓ BBC ☛ Boeing_whistleblower_found_dead_in_US⠀⇛


                             John Barnett had worked for Boeing for 32
                             years, until his retirement in 2017.


                             In the days before his death, he had been
                             giving evidence in a whistleblower lawsuit
                             against the company.


                      # ⚓ The Register UK ☛ DoJ_reportedly_launches_Boeing
                        criminal_investigation⠀⇛


                             Some passengers on the eventful January
                             flight from Portland to Ontario were
                             reportedly notified that they are potential
                             victims of crime.


                             Part of what is under question is whether
                             Boeing complied with a 2021 settlement
                             regarding two fatal 737 MAX crashes that
                             occurred in 2018 and 2019 and killed 346
                             people. Boeing was found at fault for how it
                             communicated information about the aircraft's
                             control system and was required to pay $2.6
                             billion in penalties and compensation, in
                             addition to making some changes.


                # § Environment⠀➾


                      # ⚓ Truthdig ☛ The_EU_Passes_Landmark_Law_Criminalizing
                        Ecocide_-_Truthdig⠀⇛


                             An illegal toxic dump site in Croatia, the
                             theft of water from a major aquifer in
                             southern Spain, illegal trading of ozone-
                             depleting refrigerants in France: This is
                             just a sampling of the environmental crimes
                             that European countries are struggling to
                             stop. The lack of accountability for these
                             acts stems in part from the European Union’s
                             legal code, which experts say is riddled with
                             vague definitions and gaps in enforcement.
                             That’s about to change.


                             Last week, EU lawmakers voted in a new
                             directive that criminalizes cases of
                             environmental damage “comparable to ecocide,”
                             a term broadly defined as the severe,
                             widespread, and long-term destruction of the
                             natural world. Advocates called the move
                             “revolutionary,” both because it sets strict
                             penalties for violators, including up to a
                             decade in jail, and because it marks the
                             first time that an international body has
                             created a legal pathway for the prosecution
                             of ecocide.


                      # ⚓ Omicron Limited ☛ Europe_is_not_prepared_for_rapidly
                        growing_climate_risks,_researchers_say⠀⇛


                             Extreme heat, drought, wildfires, and
                             flooding, as experienced in recent years,
                             will worsen in Europe even under optimistic
                             global warming scenarios and affect living
                             conditions throughout the continent. The
                             European Environment Agency (EEA) has
                             published the first-ever European Climate
                             Risk Assessment (EUCRA) to help identify
                             policy priorities for climate change
                             adaptation and for climate-sensitive sectors.


                      # ⚓ France24 ☛ Europe_must_do_more_against_'catastrophic'
                        climate_risks,_warns_study⠀⇛


                             For instance, the combination of heat waves
                             as well as acidification and oxygen depletion
                             of the seas and other human-caused factors
                             such as pollution and eutrophication -
                             - meaning an excess of nutrients which
                             collapses aquatic ecosystems -- and fishing,
                             threaten marine ecosystems, the report noted.


                      # ⚓ CBC ☛ 2024-02-29_[Older]_Federal_natural_resources
                        minister_says_no_carbon_rebates_for_Sask._after
                        province_says_it_won't_remit_levy⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-03-01_[Older]_CO2_emissions
                        reached_record_high_in_2023_—_IEA⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-02-29_[Older]_Can_ship_cruises
                        actually_be_net_zero_by_2050?⠀⇛


                      # ⚓ The Revelator ☛ Adapt,_Move_or_Die?_Plants_and
                        Animals_Face_New_Pressures_in_a_Warming_World⠀⇛


                      # § Energy/Transportation⠀➾


                            # ⚓ DeSmog ☛ Top_Fossil_Fuel_Ad_Ban_Critic_Runs
                              Group_That_Got_$450K_from_Oil_Company⠀⇛


                                   After NDP member of Parliament Charlie
                                   Angus introduced a bill in February
                                   proposing to ban misleading fossil fuel
                                   advertising in Canada, the oil and gas
                                   advocate Stephen Buffalo wrote an
                                   incendiary National Post column
                                   attacking the legislation.


                                   Buffalo, a member of the Samson Cree
                                   Nation, called Bill C-372 the “most
                                   egregious attack on civil liberties in
                                   recent Canadian history” and “a direct
                                   assault on Indigenous peoples.” He 
                                   compared it to the Indian Act of 1876,
                                   a notorious federal law that attempted
                                   to erase the culture of First Nations
                                   peoples. His column ricocheted across
                                   the internet, where it was shared or
                                   referenced by industry groups,
                                   conservative columnists and rightwing
                                   politicians, including federal
                                   Conservative Party leader Pierre
                                   Poilievre. 


                            # ⚓ DeSmog ☛ Climate_Crisis_Denier_Lee_Anderson
                              Finds_Common_Cause_With_Reform_UK⠀⇛


                                   The UK’s main climate science denial
                                   party has gained its first member of
                                   parliament with the defection of
                                   suspended Conservative MP Lee
                                   Anderson. 


                                   Anderson announced today that he was
                                   joining Reform UK, a right-wing, anti-
                                   green and anti-immigration party which
                                   is currently polling at 12 percent. 


                            # ⚓ Lusaka ZM ☛ Zambia_:_8_hour_Load_Shedding_In
                              Zambia_Begins⠀⇛


                                   Last month Zesco announced a
                                   substantial reduction in electricity
                                   generation at the Kariba North Bank
                                   Power Station for the year 2024. ZESCO
                                   Managing Director Victor Mapani
                                   revealed that the generation is
                                   expected to decrease to 214 Mega Watts,
                                   a significant drop from the 386 Mega
                                   Watts generated in 2023. This decline
                                   is attributed to the reduction in water
                                   levels at the Kariba Dam, which will
                                   adversely impact the power station’s
                                   ability to generate electricity.


                            # ⚓ Futurism ☛ Boeing_Jet_Nosedives,_Sending_13
                              Passengers_to_Hospital⠀⇛


                                   A Boeing 787-9 Dreamliner "nosedived"
                                   while traveling from Australia to New
                                   Zealand, the Associated Press reports,
                                   resulting in at least 50 injuries.
                                   According to local authorities, 13
                                   passengers were taken to a hospital and
                                   one is in serious condition.


                            # ⚓ Vintage Everyday ☛ Amazing_Photos_of_the_1956
                              Studebaker_Sky_Hawk⠀⇛


                                   The Sky Hawk’s base price was $2,477
                                   before options, and 3,050 were produced
                                   that year. The Sky Hawk was
                                   discontinued for the 1957 model year.
                                   These amazing photos of this 1956
                                   Studebaker Sky Hawk were taken by Steve
                                   Brown.


                            # ⚓ Deutsche Welle ☛ 2024-03-05_[Older]_Explainer:
                              German_Gigafactory_is_key_to_Tesla's_EV_expansion
                              plan_in_Europe⠀⇛


                            # ⚓ Deutsche Welle ☛ 2024-03-05_[Older]_Montenegro
                              halts_extradition_of_Terraform_Labs_founder_to
                              US⠀⇛


                            # ⚓ Deutsche Welle ☛ 2024-03-04_[Older]_German
                              train_drivers_to_strike_again_as_talks_falter⠀⇛


                            # ⚓ Deutsche Welle ☛ 2024-03-04_[Older]_Germany:
                              Lufthansa_braces_for_new_ground_crew_strike⠀⇛


                            # ⚓ Deutsche Welle ☛ 2024-03-01_[Older]_Germany:
                              Public_transport_strike_in_full_swing⠀⇛


                            # ⚓ Deutsche Welle ☛ 2024-03-01_[Older]_Germany:
                              Tesla_plant_protesters_to_spend_week_in_forest⠀⇛


                            # ⚓ Deutsche Welle ☛ 2024-02-29_[Older]_Germany:
                              New_train_strike_possible_after_wage_talks
                              collapse⠀⇛


                      # § Wildlife/Nature⠀➾


                            # ⚓ Deutsche Welle ☛ 2024-03-06_[Older]_Thailand:
                              Red_panda_found_in_luggage_of_suspected
                              smugglers⠀⇛


                            # ⚓ Deutsche Welle ☛ 2024-03-05_[Older]
                              Biodiversity:_Can_extinctions_be_stopped?⠀⇛


                            # ⚓ Deutsche Welle ☛ 2024-03-05_[Older]_Kazakhstan:
                              Wild_horses_to_be_reintroduced_by_European_zoos⠀⇛


                            # ⚓ CBC ☛ 2024-03-02_[Older]_'Nun_cho_ga,'_the_rare
                              baby_mammoth_found_in_Yukon,_heads_to_Ottawa⠀⇛


                            # ⚓ Deutsche Welle ☛ 2024-03-01_[Older]_New_species
                              of_green_anaconda_identified_in_Amazon⠀⇛


                      # § Overpopulation⠀➾


                            # ⚓ Deutsche Welle ☛ 2024-03-01_[Older]_Why_South
                              Korean_women_aren't_having_babies⠀⇛


                            # ⚓ The Hindu ☛ A_possible_solution_for_Bengaluru’s
                              water_crisis_Data⠀⇛


                                   As Bengaluru grows further outwards and
                                   faster than it can cope, water supply
                                   is one of the first casualties.
                                   Attempting to piece together the puzzle
                                   – where Bengaluru’s water comes from,
                                   where it is stored, who consumes it,
                                   where the wastewater goes – is an
                                   essential first step to reduce the
                                   city’s vulnerability to floods and
                                   drought. We zoom into four different
                                   aspects to do this.


                                   The city’s population increased from
                                   8.7 million in 2011 to about 12.6
                                   million in 2021 (projected). Most of
                                   the growth has been in the periphery
                                   (Maps 1 and 2).


                # § Finance⠀➾


                      # ⚓ CBC ☛ 2024-02-29_[Older]_Squint_and_you_can_see
                        Alberta's_budget_surplus,_before_it_potentially_dries
                        up⠀⇛


                      # ⚓ CBC ☛ 2024-03-01_[Older]_Danielle_Smith_wants_to_save
                        Alberta's_oil_wealth,_but_history_shows_it's_a_pledge
                        that's_hard_to_deliver⠀⇛


                      # ⚓ CBC ☛ 2024-03-01_[Older]_Police_spending_in_cities
                        like_Montreal_keeps_surging_over_budget._Where_does_the
                        money_go?⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-02-29_[Older]_How_India's
                        economic_policies_are_hurting_its_farmers⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-02-29_[Older]_Germany's_Greens
                        become_boogeyman_at_farmer_protests⠀⇛


                      # ⚓ CBC ☛ 2024-03-01_[Older]_The_Body_Shop_Canada_to
                        close_33_stores,_end_online_sales⠀⇛


                      # ⚓ US News And World Report ☛ 2024-03-02_[Older]_Canada
                        Concerned_About_Critical_Metals_Market_Manipulation,
                        Minister_Says⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-03-03_[Older]_Swiss_vote_to
                        boost_pension_payments⠀⇛


                      # ⚓ CBC ☛ 2024-03-03_[Older]_Millions_of_dollars_worth_of
                        lottery_winnings_go_unclaimed_in_Canada_every_year⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-03-02_[Older]_Ahead_of_EU
                        elections,_is_Europe's_social_model_at_risk?⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-03-02_[Older]_Argentina's_Milei
                        vows_to_'push'_reforms_despite_opposition⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-03-02_[Older]_Spain:_Police
                        bust_counterfeiters_of_high-quality_€100_notes⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-03-01_[Older]_More_changes_to
                        Germany's_skilled_immigration_rules_take_effect⠀⇛


                      # ⚓ Land_of_the_Layoffs:_72%_of_High_Earners_Fear_Losing
                        Job_to_AI,_Economic_Woes [Ed: The layoffs are NOT due
                        to "HEY HI". HEY HI is just the excuse of the day,
                        after "quiet quitters", "great resignation" etc. got
                        mocked and dismissed as an explanation.]⠀⇛


                             A new survey reveals that the relentless wave
                             of tech industry layoffs combined with the
                             rise of AI has fueled widespread anxiety over
                             job security among American workers. More
                             than 72 percent of Americans making more than
                             $150,000 fear losing their jobs to AI and
                             other sources of economic insecurity, while
                             even 50 percent of those making under $50,000
                             feel the same way.


                      # ⚓ FAIR ☛ LA_Times_Shortchanges_Readers_With_Deficient
                        Explanation_for_Rising_Food_Prices⠀⇛


                             Los Angeles Times columnist Steve Lopez (3/
                             10/24) had some tips for elders dealing with
                             high prices for food—one of which was
                             featured in the headline:


                      # ⚓ BBC ☛ More_than_a_fifth_of_UK_adults_not_looking_for
                        work_-_BBC_News⠀⇛


                             The UK's economic inactivity rate was 21.8%
                             from November to January, official figures
                             show.


                # § AstroTurf/Lobbying/Politics⠀➾


                      # ⚓ The Verge ☛ Reddit_goes_public:_the_latest_updates_on
                        its_IPO⠀⇛


                             Reddit is going public, seeking a $6.5
                             billion valuation after a year of upheaval
                             that gave it more control over what CEO Steve
                             Huffman has called a “vast corpus” of
                             valuable data that can be used to train AI.
                             As an example, Google recently cut a deal
                             with Reddit worth a reported $60 million per
                             year for real-time access to that data.


                      # ⚓ Deutsche Welle ☛ 2024-03-05_[Older]_US-China:_How
                        Biden_took_Trump's_policy_and_raised_the_stakes⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-03-04_[Older]_Church_of_England
                        told_to_invest_billion_pounds_over_slavery⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-03-01_[Older]_Decoding_China:
                        National_People's_Congress_meets_at_bad_time⠀⇛


                # § Censorship/Free Speech⠀➾


                      # ⚓ Deutsche Welle ☛ 2024-03-04_[Older]_Vietnam_tightens
                        grip_on_social_media_influencers⠀⇛


                      # ⚓ RFERL ☛ Two_Women_Arrested_In_Tehran_For_Dancing
                        Dressed_As_Fictional_Folk_Character⠀⇛


                             Their performance was deemed by the
                             authorities to be an act of "social
                             defiance," leading to their arrest by order
                             of the Tehran prosecutor for "committing acts
                             of norm-breaking," according to reports by
                             the semiofficial Tasnim news agency.


                             Tensions have been rising in Iran over public
                             conduct by Iranians and the enforcement of
                             dress codes, especially with women.


                      # ⚓ RFA ☛ Chinese_arrests_jump_nearly_50%_amid_clampdown
                        on_‘hostile_foreign_forces’⠀⇛


                             Chinese authorities arrested 726,000 people
                             last year, a jump of 47.1% from the previous
                             year, the country’s chief prosecutor told the
                             National People’s Congress that ended Monday
                             amid a crackdown on crimes linked to “hostile
                             foreign forces.”


                             Authorities also formally prosecuted 1.688
                             million people last year, up 17.3%, Chief
                             Prosecutor Ying Yong said.


                      # ⚓ VOA News ☛ China_Tightens_Grip_Over_Internet_During
                        Key_Political_Meeting⠀⇛


                             Beijing operates some of the world's most
                             extensive censorship over the [Internet],
                             with web users in mainland China unable to
                             access everything from Google to news
                             websites without using a virtual private
                             network (VPN).


                             And as thousands of delegates gather in
                             Beijing this week for the annual "Two
                             Sessions" meeting, VPN software has
                             increasingly struggled to circumvent the
                             censorship while outages have become much
                             more frequent, even when compared to previous
                             sensitive political events.


                      # ⚓ The Telegraph UK ☛ No_religion_has_a_'right_not_to_be
                        offended',_says_security_minister_ahead_of_extremism
                        crackdown⠀⇛


                             No religion has a right to be exempt from
                             criticism, the security minister has said
                             ahead of a crackdown on extremism.


                             Tom Tugendhat said no faith had a right not
                             to be challenged amid concerns that some
                             extremists have used intimidation and threats
                             of violence against those perceived to have
                             insulted Islam.


                             It follows the case of a teacher in Batley,
                             West Yorkshire, who received death threats
                             after showing pupils a cartoon of the Prophet
                             Mohammed during a religious education lesson
                             almost two years ago and has remained in
                             hiding ever since as he fears for his life.


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


                      # ⚓ BIA Net ☛ Journalist_Sedat_Yılmaz,_detained_for_7
                        months_based_on_secret_witness_statements:_"Where_are
                        those_'serious_crimes'?"⠀⇛


                             Following the detailed reasoning, Yılmaz
                             commented on the case, saying, "You are
                             detained for seven and a half months, and no
                             one bothers to look at what is in this file.
                             But routinely, every month when my detention
                             was reviewed, they would say 'serious crimes
                             are attributed to him,' and the continuation
                             of detention would be demanded. Now I think,
                             where are those 'serious crimes'? Of course,
                             there is no one to ask this question to. They
                             can keep you in custody for months,
                             attributing serious crimes without anyone
                             looking into the file. The suffering,
                             pressure, and injustice you experience are
                             additional. What can I say, hopefully, this
                             will be the end for me and all my colleagues
                             in the same situation."


                      # ⚓ CoryDoctorow ☛ The_Foilies_(11_Mar_2024)_–
                        Pluralistic:_Daily_links_from_Cory_Doctorow⠀⇛


                             This marks the 10th anniversary of the
                             Foilies – awards given to the public agencies
                             responsible for the most egregious, absurd
                             and outrageous defiance of freedom of
                             information requests: [...]


                      # ⚓ RFERL ☛ U.S._Ambassador_Calls_On_Tajik_Authorities_To
                        'Support_Journalists'_Rights'⠀⇛


                             [...] In recent years, several Tajik
                             journalists, rights activists, and opposition
                             politicians have been handed lengthy prison
                             terms on charges seen by rights groups as
                             trumped up and politically motivated.


                      # ⚓ El País ☛ Journalism_without_women_in_Afghanistan:
                        “Stopping_the_work_of_female_reporters_is_another_form
                        of_violence_against_us”⠀⇛


                             Threats have followed Baran* for the six
                             years she’s worked in the media. But the
                             challenges of working under Taliban rule have
                             made the job almost impossible. Most female
                             journalists have either stopped working or
                             left the country altogether.


                             Baran, 24, says the situation is “unbearable”
                             with female journalists facing blanket
                             “gender discrimination” and “misogyny” from
                             the de facto authorities.


                      # ⚓ US News And World Report ☛ 2024-03-01_[Older]_Canada
                        to_Crack_Down_on_Foreign_Investment_in_Digital_Media
                        Sector⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-03-04_[Older]_Germany's_Olaf
                        Scholz_opposes_Assange's_extradition_to_US⠀⇛


                      # ⚓ Is_traditional_media_destined_to_become_a_relic_of
                        the_past?⠀⇛


                             We saw it in the aftermath of the pandemic
                             with the industry increasing its layoffs by
                             649% in 2022, which is the highest since the
                             dot-com bubble burst.


                             Traditional job roles are being redefined and
                             we’re experiencing businesses across all
                             sectors reshape their workforce to
                             accommodate this shift. Take the gaming
                             industry for example, tech giant Microsoft
                             recently confirmed a wave of layoffs of up to
                             1,900 employees. With reports indicating that
                             the team responsible for bringing physical
                             media to retail being one of the major
                             casualties, it signals a further shift to a
                             digital-first future.


                # § Civil Rights/Policing⠀➾


                      # ⚓ Juha-Matti Santala ☛ Thoughts_on_accessibility_in
                        personal_web⠀⇛


                             Accessibility is a topic close to my heart
                             and I’ve been learning about it over the past
                             few years. I’m still a long way from being an
                             expert and this website has its own issues
                             but I aim to improve things a little by
                             little as I learn more.


                             Here is a collection of thoughts that the
                             theme sparked in me when I was thinking of
                             the small web sites that I’ve been building.


                      # ⚓ RFA ☛ Rallies_held_around_the_globe_for_Tibetan
                        Uprising_Day⠀⇛


                             The weekend rallies also marked the 35th
                             anniversary of martial law imposed on March
                             5, 1989, and the anniversary of the peaceful
                             protests that erupted across Tibet in 2008,
                             said Sikyong Penpa Tsering, president of the
                             Central Tibetan Administration, in the
                             cabinet’s March 10 statement.


                      # ⚓ Techdirt ☛ Once_More_With_Feeling:_Banning_TikTok
                        Doesn’t_Do_Much_If_We_Don’t_Regulate_Data_Brokers_And
                        Pass_A_Privacy_Law [Ed: It's not "policy hysteria" when
                        a weapon, however it is marketed, gets into the pockets
                        of kids and adults.]⠀⇛


                             While it seemed like our national policy
                             hysteria over TikTok had waned slightly in
                             2024, it bubbled up once again last week upon
                             rumors that the White House is supporting a
                             “welcome and important” new bill that would
                             effectively ban TikTok from operating in the
                             United States.


                      # ⚓ 404 Media ☛ ‘Young_Indian_Method’_Teaches_TikTok
                        Spammers_How_to_Hire_and_Control_'Third_World_Country
                        Workers'⠀⇛


                             The most jarring thing that I saw for sale on
                             a Discord for TikTok spammers wasn’t the “Red
                             Pill clips,” the hours of Minecraft footage,
                             the AI voice cloners, or the “American-made”
                             TikTok accounts. It was a pdf document called
                             “Young Indian Method,” which cost £7 and
                             claims to help people to “earn money by
                             utilizing third world country workers.” The
                             document is full of dehumanizing language,
                             warns readers that "Indians get lazy after
                             they get paid," recommends readers "keep them
                             hungry" so they will put in "maximum effort"
                             until they get paid, and says they are
                             “easily replaceable.”


                      # ⚓ VOA News ☛ 'Sacred_Job'_Iraq_Kurds_Digitize_Books_to
                        Save_Threatened_Culture⠀⇛


                             "Preserving the culture and history of
                             Kurdistan is a sacred job," said Pishtiwan,
                             perusing volumes and manuscripts from Dohuk
                             city's public library in Iraq's northern
                             autonomous Kurdistan region.


                             "We aim to digitize old books that are rare
                             and vulnerable, so they don't vanish," the
                             23-year-old added, a torn memoir of a Kurdish
                             teacher published in 1960 in hand.


                      # ⚓ Techdirt ☛ NYC_Mayor_Eric_Adams_Says_That_If_Police
                        Radio_Transmissions_Aren’t_Encrypted,_The_Terrorists
                        Will_Win⠀⇛


                             The NYPD has a problem with encryption, as do
                             some of its preferred prosecutors. Back in
                             2010, Deputy Commissioner for
                             Counterterrorism and Intelligence told NBC
                             news reporters that the city was filled with
                             terrorists willing to leverage everything
                             from “rocks, bottles, and accelerants” to
                             wage war on New York — something aided by
                             these speculative persons’ ability to utilize
                             device encryption to cover their digital
                             tracks.


                # § Internet Policy/Net Neutrality⠀➾


                      # ⚓ Techdirt ☛ Biden_Mostly_Ignored_The_Internet_In_His
                        State_Of_The_Union,_But_He_Still_Has_Some_Terrible
                        Ideas_About_It_In_His_Agenda⠀⇛


                             Every year, the President lays out the
                             administration’s major agenda in the State of
                             the Union address. For those of us who cover
                             tech policy, there’s always some fear that
                             something dumb will be said. In the last
                             couple of years, Biden pushed nonsense moral
                             panics about the evils of the internet. So,
                             in some ways, this year’s State of the Union
                             was a little better because it barely
                             mentioned tech at all, and only did so in the
                             most confusing of ways. This was basically
                             all he said:


                      # § Education⠀➾


                            # ⚓ APNIC ☛ Event_Wrap:_APTLD_85⠀⇛


                                   APNIC participated at the 85th Asia
                                   Pacific Top Level Domain Association
                                   (APTLD 85) meeting, held in Goa, India
                                   from 19 to 22 February 2024.


                                   The meeting brought together 190
                                   participants from across the Asia
                                   Pacific, the Americas, and Europe for
                                   training, networking, and to share
                                   information and best practices.


                # § Digital Restrictions (DRM)⠀➾


                      # ⚓ US News And World Report ☛ Libraries_Struggle_to
                        Afford_the_Demand_for_E-Books,_Seek_New_State_Laws_in
                        Fight_With_Publishers⠀⇛


                             Like many libraries, West Haven has been
                             grappling with the soaring costs of e-books
                             and audiobooks. The digital titles often come
                             with a price tag that’s far higher than what
                             consumers pay. While one hardcover copy of
                             Cook’s latest novel costs the library $18, it
                             costs $55 to lease a digital copy - a price
                             that can't be haggled with publishers.


                      # ⚓ El País ☛ Music_streaming_giants_eliminate_songs_with
                        low_play_counts⠀⇛


                             This change in approach can be seen in
                             Spotify’s new policy: not paying royalties
                             for songs with fewer than 1,000 streams in a
                             year. A report from Luminate in 2023 revealed
                             that 82.7% of songs were streamed less than
                             1,000 times, and that nearly 25% had no
                             streams at all. With the constant growth of
                             the music catalog, unstreamed songs are
                             predicted to reach 100 million by 2028.


            § Monopolies/Monopsonies⠀➾


                # § Copyrights⠀➾


                      # ⚓ India Times ☛ Nvidia_is_sued_by_authors_over_AI_use
                        of_copyrighted_works⠀⇛


                             In a proposed class action filed on Friday
                             night in San Francisco federal court, the
                             authors said the takedown reflects Nvidia's
                             having "admitted" it trained NeMo on the
                             dataset, and thereby infringed their
                             copyrights.


                             They are seeking unspecified damages for
                             people in the United States whose copyrighted
                             works helped train NeMo's so-called large
                             language models in the last three years.


                      # ⚓ Torrent Freak ☛ Authors_Sue_NVIDIA_for_Training_AI_on
                        Pirated_Books⠀⇛


                             Several authors have filed a class action
                             copyright infringement lawsuit against
                             technology giant NVIDIA, which leads the AI
                             revolution. In addition to selling hardware
                             and services, NVIDIA has its own large
                             language models. The authors allege that the
                             AI models were trained on copyrighted works
                             taken from the ‘pirate’ site Bibliotik, and
                             as such they're entitled to compensation.


                      # ⚓ Quartz ☛ Nvidia_is_sued_for_allegedly_training_AI_on
                        copyrighted_work⠀⇛


                             After weeks of leveraging the generative
                             artificial intelligence boom to greater and
                             greater heights, Nvidia is being sued by
                             authors over training for its NeMo AI
                             platform. Authors Brian Keene, Abdi Nazemian,
                             and Stewart O’Nan filed their proposed class
                             action lawsuit in federal district court in
                             California on Friday. They allege that their
                             works were part of a dataset of nearly
                             197,000 books that helped train NeMo to
                             generate ordinary written language.


                             Part of the collection of works NeMo was
                             trained on included a dataset of books from
                             Bibliotik, a so-called “shadow library” that
                             hosts and distributes unlicensed copyrighted
                             material. That dataset was available until
                             October 2023, when it was listed as defunct
                             and “no longer accessible due to reported
                             copyright infringement.”


                      # ⚓ Digital Music News ☛ France’s_Centre_National_de_la
                        Musique_Bites_Back_Against_Spotify_‘Streaming_Tax’
                        Accusations⠀⇛


                             In addition to raising its prices in France,
                             Spotify also severed ties with two French
                             music festivals — Les Francofolies de la
                             Rochelle and Le Printemps de Bourges — due to
                             the tax, which will require DSPs to pay 1.2%
                             of both subscription based and ad supported
                             revenue.


                      # ⚓ Torrent Freak ☛ Brazil_Piracy_Concerns_at_USTR_Follow
                        MPA_Anti-Piracy_Deal_Controversy⠀⇛


                             The USTR recently asked the International
                             Intellectual Property Alliance to elaborate
                             on why "recent positions" vocalized by
                             Brazil's Ministry of Culture and cinema
                             regulator ANCINE, were a cause for concern.
                             IIPA said there was an implied bias towards
                             the protection of domestic content, leaving
                             U.S. content unprotected. In Brazil, a deal
                             between MPA and ANCINE was effectively torn
                             up for allegedly prioritizing U.S. content
                             over that produced locally in Brazil.


                # § Gemini* and Gopher⠀➾


                      # § Personal/Opinions⠀➾


                            # ⚓ LiveFromFrance_S2E03⠀⇛


                                   This was the month of agriculture...
                                   especially because of the Paris
                                   International Agricultural Show. Like
                                   every year, the President and all the
                                   political personalities are awaited
                                   there by visitors and ... farmers. This
                                   year is a special year because of the
                                   riots and protests by many farmers all
                                   over France and Europe. The Prime
                                   Minister has already made many
                                   promises, which have been greeted
                                   cautiously by the main union, the
                                   FNSEA, and because the money is still
                                   not arriving in the bank accounts. Our
                                   king, sorry, President Macron, had a
                                   remarkable and unprecedented idea: to
                                   organise a big debate between farmers
                                   and ecologists with... him in the
                                   centre, of course. Too bad, everyone
                                   remembers the same idea during the
                                   yellow vests riots and nothing has
                                   changed. His advisers in his "chateau"
                                   made a strange mistake, telling
                                   journalists that the "Soulèvement de la
                                   terre", a "radical" environmental
                                   movement, had been invited. Macron and
                                   his government had just failed to
                                   dissolve the movement after being
                                   rejected by the courts. And the FNSEA
                                   is crying like a child because these
                                   ecologists are very, very angry with
                                   them. In the end, there was no debate
                                   and Macron was protected by hundreds of
                                   policemen dressed like medieval
                                   knights.


                      # § Politics and World Events⠀➾


                            # ⚓ News_Notes_(publ._2024-03-11)⠀⇛


                                   UNRWA supporting Palestinian terrorism


                      # § Technology and Free Software⠀➾


                            # ⚓ Some_Progress_in_Solo_TTRPG⠀⇛


                                   Not a huge update here. Maybe not even
                                   worth a whole gemlog post but it's here
                                   anyway. I decided to start setting up
                                   my FoundryVTT so I can attempt to solo-
                                   play one—or a few—premade adventures in
                                   Eclipse Phase. This system is more
                                   "number-crunchy" than Starforged and
                                   was not designed with solo-play in
                                   mind. I guess this would be a sort of
                                   background check to see if it's even
                                   feasible or will it just drive me
                                   crazy?


                                   I'm excited though. Setting up the maps
                                   provided in "Nano Ops - Grinder" in
                                   FoundryVTT was pretty fun too. To the
                                   point where I might want to start a
                                   side business making assets...maybe
                                   maps. There just doesn't seem like
                                   there's a lot of free scifi map assets
                                   and I'd like to help expand that a bit.
                                   I haven't decided on a style yet,
                                   though. I did also call it a business
                                   so not everything is going to be free.
                                   Just enough to get someone started
                                   quickly.


                            # ⚓ More_thoughts_on_my_Solo_TTRPG_Campaign⠀⇛


                                   I was planning on running a Starforged
                                   mini-campaign for myself. I even have
                                   Hugo set up to smooth out the process
                                   of posting roll results and various
                                   game-mechanics results.


                                   However, I'm still faced with the
                                   dilemma of whether or not to play a
                                   modified Starforged mini-campaign, or
                                   play Eclipse Phase. I really like EP's
                                   settings. It has sourcebooks to add to
                                   it mechanically and lore-wise. I could
                                   try and combine Starforged with EP's
                                   settings but I would have to build a
                                   lot of assets myself. EP's biggest draw
                                   for me is the idea that if you have the
                                   means, you can change your body like
                                   you change clothes. But to translate
                                   that concept into Starforged would
                                   require a lot of rethinking and
                                   adjustments.


                            # ⚓ Cavern_of_Dreams_Review⠀⇛


                                   Cavern of Dreams is a 3-D platformer
                                   developed by Bynine Studio and
                                   published by Super Rare Originals in a
                                   visual style and spirit of the N64 3-
                                   D platformer "collectathon" games of
                                   the late 90s. In this game, you play as
                                   a small dragon named Flynn who is
                                   trying to rescue his siblings from a
                                   bat named Luna. Throughout the game,
                                   you will find eggs of your siblings,
                                   get new abilities, solve puzzles, and
                                   help some strangers on the way.


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




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