𝕿𝖊𝖈𝖍𝖗𝖎𝖌𝖍𝖙𝖘 Bulletin for Sunday, July 20, 2025
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Generated Mon 21 Jul 02:49:20 BST 2025
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/2025/07/20/


╒═══════════════════ 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  -  Ageism in Tech

⦿ Techrights  -  Are You Served?

⦿ Techrights  -  Conspiracy or grooming? Alex Jurado, Voice of Reason compared to Outreachy

⦿ Techrights  -  Framed by social control media: Alex Belfield, Voice of Reason

⦿ Techrights  -  IRC Proceedings: Saturday, July 19, 2025

⦿ Techrights  -  Jamie Zawinski Complained About Wayland, Then Decided to Give It a Go, Now Complains Again About Wayland

⦿ Techrights  -  Microsoft is at 0% "Market Share" in Most Areas

⦿ Techrights  -  Microsoft Lunduke Still Fighting Cancel Culture With... Cancel Culture

⦿ Techrights  -  More Microsoft Shutdowns That Mostly Slipped Under the Radar

⦿ Techrights  -  Nice Recovery (From Actual Fire) by PCLinuxOS, New Version of PCLinuxOS Released, Now Top of DistoWatch

⦿ Techrights  -  Over at Tux Machines...

⦿ Techrights  -  Slopwatch: Planet Ubuntu, LinuxSecurity, and More

⦿ Techrights  -  Taking Stock of a Good and Productive Week

⦿ Techrights  -  "The moment MSFT stock fails to start tumbling, that’s the beginning of another corporate giant going under."

 ䷼ Bulletin articles (as HTML) to comment on (requires login):
https://techrights.org/n/2025/07/20/Ageism_in_Tech.shtml
https://techrights.org/n/2025/07/20/Are_You_Served.shtml
https://techrights.org/n/2025/07/20/Conspiracy_or_grooming_Alex_Jurado_Voice_of_Reason_compared_to_.shtml
https://techrights.org/n/2025/07/20/Framed_by_social_control_media_Alex_Belfield_Voice_of_Reason.shtml
https://techrights.org/n/2025/07/20/IRC_Proceedings_Saturday_July_19_2025.shtml
https://techrights.org/n/2025/07/20/Jamie_Zawinski_Complained_About_Wayland_Then_Decided_to_Give_It.shtml
https://techrights.org/n/2025/07/20/Microsoft_is_at_0_Market_Share_in_Most_Areas.shtml
https://techrights.org/n/2025/07/20/Microsoft_Lunduke_Still_Fighting_Cancel_Culture_With_Cancel_Cul.shtml
https://techrights.org/n/2025/07/20/More_Microsoft_Shutdowns_That_Mostly_Slipped_Under_the_Radar.shtml
https://techrights.org/n/2025/07/20/Nice_Recovery_From_Actual_Fire_by_PCLinuxOS_New_Version_of_PCLi.shtml
https://techrights.org/n/2025/07/20/Over_at_Tux_Machines.shtml
https://techrights.org/n/2025/07/20/Slopwatch_Planet_Ubuntu_LinuxSecurity_and_More.shtml
https://techrights.org/n/2025/07/20/Taking_Stock_of_a_Good_and_Productive_Week.shtml
https://techrights.org/n/2025/07/20/The_moment_MSFT_stock_fails_to_start_tumbling_that_s_the_beginn.shtml

 ䷞ Followed by Daily Links (assorted news picks curated and categorised):
https://techrights.org/n/2025/07/20/Gemini_Links_20_07_2025_Summertime_and_OCC25_Wrap_up.shtml
https://techrights.org/n/2025/07/20/Links_20_07_2025_Fending_Off_BRICS_and_US_Government_Attacks_It.shtml
https://techrights.org/n/2025/07/20/Links_20_07_2025_More_GAFAM_Lawsuits_Layoffs_and_SLAPPs.shtml
https://techrights.org/n/2025/07/20/Links_20_07_2025_Security_Breaches_and_Former_Open_AI_Engineer_.shtml
https://techrights.org/n/2025/07/20/The_History_of_Daily_Links_and_Politics.shtml

                    ䷩ 𝚕𝚒𝚗𝚎 90

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/07/20/Ageism_in_Tech.shtml
    Gemini version at gemini://gemini.techrights.org/n/2025/07/20/Ageism_in_Tech.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Ageism in
Tech⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jul 20, 2025,
updated Jul 20, 2025


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇magnetic_fields⦈_


Your protocol is "old"
It's not bloated enough


Your format is "old"
It doesn't support the latest security problems


Your backup tape is "old"
It only holds up_to_580_terabytes and lasts_many_decades (tapes do have a much
longer lifespan than HDDs and SSDs)


Your compositor is "old"
It still supports programs/games from the 1980s


Your car is "old"
It doesn't require remote updates


Your mouse is "old"
It doesn't require batteries


Your phone is "old"
It still works when the Internet is down or there's a power outage


Your browser is "old"
It renders articles' text fast, without enabling a dozen trackers


Your music is "old"
It does not "expire" because some remote server says so


Your motherboard is "old"
It does not "phone_Microsoft"_to_check_if_it's_OK_to_boot_BSD_or_GNU/Linux


Your printer is "old"
It does not reject a perfectly OK cartridge that doesn't cost an arm and a leg


Your screen is "old"
It does not require a cable with a computer inside the cable, quadrupling the
cost of the cable █


    * Microsoft_is_at_0%_"Market_Share"_in_Most_Areas
    * The_History_of_Daily_Links_and_Politics


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

                    ䷩ 𝚕𝚒𝚗𝚎 319

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/07/20/Are_You_Served.shtml
    Gemini version at gemini://gemini.techrights.org/n/2025/07/20/Are_You_Served.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Are You
Served?⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jul 20, 2025


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


Society which is passive is accustomed to being_served.


If you want to download an operating system, then it is assumed that someone
will_upload_one.


For many people, advocacy of Free software and GPL enforcement are assumed to
be happening. It is somebody_else's_problem. The FSF does a lot of work and
occasionally asks people to join.


Activists are a lot more proactive and they do things that are hard, even if
they don't get paid for it.


In the case of GNU/Linux distros (most of which are made by volunteers), the
passion driving them is typically ideological. For some it's a sense of
accomplishment that comes with a complex technical task.


To me, personally, exposing corruption and wrongdoing is a passion - enough to
prepare ~200_pages_of_legal_documents_in_a_short_time_frame or write 5,000+
articles about the EPO in spite of persistent_threats.


Society is, collectively, always being served by people whose driving passion
is not monetary. Some recognise this. Some do not. This week we plan to write
about the EPO, having done the majority of the legal work and started extensive
backups (since last night). █


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


Vice_President_of_the_European_Patent_Office_(EPO)_Complains_That_Techrights
Gives_Visibility_to_Legal_and_Technical_Issues_at_the_EPO


    * Conspiracy_or_grooming?_Alex_Jurado,_Voice_of_Reason_compared_to
      Outreachy
    * Our_Articles_About_SLAPPs_Receive_Recognition_and_Interest


⣠⣤⣄⣀⣀⣀⠀⠀⠐⢿⡿⠶⠂⠀⠀⠀⠀⣀⣀⣀⣀⣀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣈⣀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⢀⣀⣀⣀⣈⣀⣈⣉⣉⣉⣉⣙⣓⣐
⢸⣟⡛⠛⠛⠛⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣶⣶⣶⠂⠀⣾⣀⣀⣏⣉⣉⡉⠉⠓⠒⠒⠦⢤⣵⣖⡈⠃⠀⠉⠀⠀⠀⠀⠀⠀⢨⢻⣿⠀⢀⣀⣀⣀⣀⣀⣀⣠⣤⣤⠤⠿⠟⠯⢿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿
⠘⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣷⣶⣶⣦⣤⣴⣤⣀⣀⣀⣇⣀⢈⣈⣿⡆⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠤⠤⠤⠤⣤⣀⣈⣉⣩⣭⣭⣽⣿⣿
⠀⣿⣷⠀⠀⠈⠉⠁⠈⠉⠉⠉⠉⠙⠛⠓⠒⠛⢻⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠟⠛⠛⠛⠛⠛⠋⠉⠉⡁⢹⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣿⡀⠀⠀⠀⢹⣿⠉⠉⠉⠉⠁⠀⠀⠀
⣤⣿⣿⣀⠀⠀⠀⠀⠠⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀⣿⣿⠦⣤⣄⠉⡍⠉⡉⠉⠙⡛⠛⡋⠤⢰⣶⣴⣶⠀⠀⠀⠀⠀⠤⠀⢣⠀⠀⠁⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⣿⣧⡄⠀⠠⠼⣿⣇⠀⠀⠀⠀⠀⠀⠀
⠿⠟⠛⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⢀⣿⣿⠀⡇⠀⠀⠀⠀⢿⣿⠀⠀⠀⠀⡇⣿⠀⠀⠂⠀⠀⠀⠀⣈⠀⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠁⢠⣤⣴⣠⣿⣸⣇⠀⠀⠀⠀⢻⣷⠀⠀⠀⠀⢀⣤⣤
⠀⠀⠀⠘⣿⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡆⣟⡹⠒⠉⠀⠀⠀⠀⡅⣭⢭⣭⣿⣝⣛⣙⣲⡶⠦⣤⣤⣀⣸⣇⠉⠉⣿⠇⠀⠀⠀⠀⠠⠤⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣶⣶⣶⣦⣤⣿⣿
⡤⠤⠤⠤⢿⣆⣀⣠⡄⠠⢤⠀⠀⢀⣀⣀⣀⣀⠀⠸⣿⡖⣶⣠⠀⠘⠀⠀⠀⣧⣿⣿⠀⠀⡆⠀⠀⢿⡏⠉⠛⠓⠲⠶⢮⣭⣟⣋⠉⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣤⣍⣉⣉⡍⠉
⠀⠀⠀⠀⠘⣿⣶⣾⣧⠀⢺⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣇⣄⡄⠀⢰⢰⠀⠀⣿⣿⣿⠀⠀⡇⠀⠀⢸⡇⠀⠀⠀⠀⠀⢸⡇⠁⣥⠀⣶⠀⠀⠀⠉⠙⠛⢻⣿⣷⣷⣿⣶⣖⣿⣉⠉⠙⠛⠛⠛⠛⠛⠿⠷⠦⠤⠀⠰
⣀⣀⣤⠀⠠⢿⡏⢹⣿⡿⣟⠒⠒⠤⠤⠀⣀⣀⣀⣀⣿⣿⣿⡇⠀⢸⣸⣀⣸⣿⣿⣿⠀⠀⠇⠀⠀⢸⡇⠈⢀⡀⠤⠴⠾⣃⣠⣿⣾⡿⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣤⣤⣴⣦
⣤⣀⣀⣀⣀⣈⣿⣯⣥⣤⣴⣒⣀⣀⣀⣀⣀⣀⣀⣀⣿⣧⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣤⣤⣤⣀⣈⣿⡏⠉⠐⠒⠢⠤⢤⢄⣿⣷⣶⣶⣯⣭⣩⣍⡛⠛⠛⠛⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿
⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣶⣦⣆⣁⣘⣃⠓⠀⠀⠀⣾
⠀⠀⠀⠀⠀⠀⠀⠀⠈⢽⣿⠘⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠿⠿⠿⠿⣿⣿⣿⣿⣷⣷⣿
⣀⠀⠀⠀⣀⠀⠀⠀⠀⢻⣿⡇⢛⣿⣿⣶⣾⣿⣿⣿⣿⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠛⠉⠉⠉⠀⠀⠀⠀⢀⣀⣰⣶⣶⣶⣶⣿⣴⣦⣄⣈⣼⣿
⠀⠀⠉⠉⠉⠉⠉⠉⠁⠹⣿⣷⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⠿⣶⣿⣿⣯⣽⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⢟⣛⡛⠋⠉⠁⠀⠀⠀⠀⣠⣤⡄⣀⣀⣀⣤⣤⣻⣆⡆⠻⠿⠿⠿⠟⠛⠛⠛⠉⠉⠉⠉⠉⢁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠽⣿⡄⠈⠉⠙⠛⠛⠻⣿⣿⣿⢿⣿⢸⠀⠘⣿⡇⢸⣿⣿⣿⣽⠛⡟⣙⡻⠟⠛⠂⣈⣩⡀⠀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⢱⣿⣿⣿⣿⣿⣿⢻⡇⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⡄⣾
⠀⠒⠒⠀⠀⠤⠤⠴⠤⠤⢸⣿⣇⠀⠀⠀⠀⠀⠀⣿⡇⠈⠀⠩⠄⠤⠄⢸⡇⢸⣿⠙⠋⣿⠀⡇⠿⣿⣄⣴⢦⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⢰⣶⣦⣄⣀⣀⠈⠉⠉⠙⠛⣿⡿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠁⠸⠇⠘⠛⠀⠀⠁⠀⠀⠀⢹⠈⣿⠈⠉⠉⠱⠀⠁⠀⠘⠛⠛⠛⠛⠿⠿⣿⠈⣿⣿⣿⣿⣿⣿⣿⡇⠀⣾⣿⣿⣿⣿⡏⣽⣿⣿⣷⣶⣿⠃
⠲⠶⠦⠤⣄⣠⣄⣀⢀⣀⠀⢹⣿⡇⠠⠤⢤⣤⣤⣿⣇⣠⣤⠴⠖⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⡠⣼⠀⣿⠠⠀⡀⢀⢀⠀⠀⣤⣀⣀⣀⣀⠀⠉⠉⠀⠙⠉⠭⠟⢛⣿⠿⠇⠀⣿⣿⣿⣿⣿⠀⠿⠿⣿⣿⣿⠇⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠈⣿⣷⠀⣀⣤⡶⠾⠛⠉⠁⠀⠀⠀⠀⠀⣀⠀⢰⣶⣶⣿⣾⣾⠀⣯⣿⠀⡿⠸⠟⠛⠛⠛⠛⠛⣿⡇⠉⠉⠙⠛⠛⠓⠶⠶⢦⣤⣤⣀⡀⠈⠁⠐⠊⠩⠝⡻⠿⠀⣶⠢⢤⣿⡟⠀⠀
⣤⣤⣤⣀⣀⣀⠀⠀⠀⠀⠀⠀⢛⣿⡀⣀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣾⣿⣿⠀⢸⣿⣿⣿⣿⣿⠀⣿⣿⢠⡇⣴⣤⣄⣀⠀⠒⢠⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⠷⠶⢦⣤⣀⣀⠀⠁⠂⠠⠙⠛⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣾⣤⣤⣤⣤⣿⣇⠙⣥⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⠀⣿⣿⢸⡇⣿⣿⣿⣿⣿⣷⣾⣿⠀⣤⣄⣀⣀⣀⡀⠀⢀⠀⠀⠀⡨⣭⡿⠂⠀⣤⣤⣭⣿⣿⢷⣶⣤⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⡿⠿⢛⣋⠉⠉⠉⠛⢻⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⢀⣿⣿⢸⡇⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣀⣰⡿⠿⠿⣯⣁⣸⣿⣄⠀⢠⡆⠀⢰
⠟⠛⠯⣥⣤⣄⠀⡘⠛⠯⢵⣒⣤⢸⣿⠀⠀⠀⠈⠉⠉⠉⠙⠛⠛⠛⠛⢛⣲⡾⣿⣿⣿⣿⣿⢸⡿⡟⢸⡇⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⡇⠀⣸⣿⡿⠿⠿⠟⠛⠉⠀⠀⠀⢀⠀⠘⠉⠉⣿⠀⢼⣧⣤⣸
⠻⠷⠶⣤⣬⣉⣒⠚⠿⠷⣤⣀⣀⣸⣿⠀⠐⠒⠂⠀⠀⢀⣀⣤⠴⠚⠋⠉⠀⢠⣿⣿⣿⣿⣿⢸⣷⡇⢸⡇⣿⣿⣿⣿⣿⣿⣿⡿⠞⣭⣿⣿⣿⣶⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠈
⠶⣶⣤⣤⣌⣉⣉⡛⠛⠛⠶⠶⠆⣿⣿⠀⣉⣩⡽⠶⠚⠋⢁⣀⣤⣶⣾⣿⠀⢸⣿⣿⣿⣿⣿⢸⢿⡇⢸⡇⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⠻⢿⣿⣿⣷⣶⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠈⣿⡀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿⣿⣿⣦⣿⡇⠈⠉⣀⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⢸⢹⡇⢸⡇⣿⣿⣿⣿⣿⣿⣿⡇⣾⣿⣿⣿⣿⣿⡿⠀⢸⣿⣿⣿⣿⣿⡿⠿⢿⣿⣷⣶⣦⣤⣀⣀⣿⡇⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⡟⢻⠿⡿⣿⣿⣿⣿⡇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⢘⣾⡇⢸⣧⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⡏⠛⠛⣿⣿⣿⡇⠐⠒⠒⠒
⣿⣿⣿⣿⣿⣿⡇⢸⢰⡇⣿⣿⣿⣿⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⢸⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⡿⡇⠀⣾⣿⣿⡇⠀⢰⣿⣿⣿⣇⢀⡀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡏⣿⣿⢹⡏⣹⡏⢿⡿⡿⣏⣿⢹⢿⣿⡟⢻⡿⣿⡿⣿⢿⡿⢫⡿⡏⡿⢹⢻⡿⣏⣿⣹⢿⡍⡏⢹⠻⡿⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⢹⡇⣿⢺⡇⣏⣇⢸⣿⣿⢻⡟⣾⢸⣿⡇⢸⡇⣿⡇⣿⢸⡗⢸⡇⡅⡗⢺⢸⡷⡏⣿⣿⢰⡆⡗⢺⠀⡇⢈⢳⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣼⣧⣿⣼⣿⣧⣿⣼⣿⣿⣾⣧⣿⣼⣿⣿⣿⠿⣿⣿⣿⠼⣿⣯⣿⢧⣿⣾⡿⣧⡿⢿⣼⣿⣧⣧⡾⣴⣿⣾⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣷⡿⢸⣿⣏⡧⣿⠉⣿⣾⡻⢸⠃⣿⣿⢻⣧⢸⣟⡇⣾⢻⣼⡇⣿⢹⡟⣿⢻⡏⢿⠸⡇⡏⢻⡏⡏⠉⡏⣷⣾⢹⡟⡟⣿⢡⡟⣷⢹⠹⡎⣿⡏⣷⣼⠹⢻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣁⣯⣸⢿⣏⡷⣿⣀⣿⣬⣹⢼⡍⣿⣈⣾⢼⣸⣏⡇⣿⣸⢿⣇⣿⢸⣧⣿⣿⡇⣾⢹⡇⣏⣹⡇⣏⣁⡏⣁⣿⣸⣧⣷⣿⠸⣇⣿⢸⣠⣇⡧⣧⢸⣇⣶⣏⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣶⣶⣶⣾⣶⣶⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣶⣶⣿⣿⣷⣶⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⠿⠿⣿⣿⣿⣿⣿⡿⢿⣿⣿⢻⣿⡇⣿⣿⡇⣿⣿⣿⠏⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣸⣿⡇⣿⣿⡇⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠫⠝⠛⠛⠛⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⣿⣿⣠⣿⣿⡇⠸⣿⡟⠉⠋⠉⠀⠙⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠛⠉⠛⠛⠏⠙⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠽⠥⠦⠦⣄⣤⣤⣤⣄⣀⣀⣂⣀⣀⣀⡀⣀⣀⣀⣀⡠⠄⠤⢤⣤⡤⢤⢤⣤⣤⣄⡀⣀⣀⣀⠄⡀⣀⣀⠀⣀⣀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⡀⠀⠀⣀⡀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠉⠉⠉⠉⠉⠉⠉⠁⠉⠀⠀⠀⠀⠉⠉⠁⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠘⠛⠻⠿⠛⠻⠓⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠈⠀⠂⠨⠇⠀⠀⠈⠀⠀⠀⠀⠁⠄⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡏⣿⣿⢹⡏⣹⡏⢿⡿⡿⣏⣿⢹⢿⣿⡟⢻⡿⣿⡿⣿⢿⡿⢫⡿⡏⡿⢹⢿⡿⣏⣿⣹⢿⡍⡏⢹⠻⡿⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⢹⡇⣿⢺⡇⣏⣇⢸⣿⣿⢻⡟⣾⢸⣿⡇⢸⡇⣿⡇⣿⢸⡗⢸⡇⡅⡗⢺⢸⡷⡏⣿⣿⢰⡆⡗⢺⠀⣇⢈⢳⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣼⡧⢿⣼⣿⣧⣿⣼⣿⣿⣾⣧⣿⣼⣿⣿⣿⡟⣿⣿⣿⠼⣿⣯⡿⣧⣿⣾⡽⣧⡿⢿⣼⣿⣧⣧⣾⣦⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣷⣿⢸⣿⣏⡧⣿⠉⣿⣾⡻⢸⠇⣿⣿⢹⣧⢸⣟⡇⣾⢻⣼⡇⣿⢹⡟⣿⢻⡏⢻⠸⡇⡏⢻⡏⡏⠉⡏⣷⣾⢹⡟⡟⣿⢡⡟⣷⢹⠹⡆⣿⡏⣷⣼⠹⢻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣁⣯⣸⢿⣏⡷⣿⣀⣿⣬⣹⢼⡍⣿⣈⣾⢼⣸⣏⡇⣿⣸⢿⣇⣿⢸⣧⣿⣿⡇⣾⢹⡇⣏⣹⡇⣏⣁⡏⣁⣿⣸⣧⣷⣿⠸⣇⣿⢸⣠⣇⡧⣧⢸⣇⣶⣏⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣶⣶⣿⣿⣷⣶⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⠿⠿⣿⣿⣿⣿⣿⡿⢿⣿⣿⢻⣿⡇⣿⣿⡇⣿⣿⣿⠋⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣸⣿⡇⣿⣿⡇⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠫⠝⠛⠛⠛⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⣿⣿⣠⣿⣿⡇⠸⣿⡏⠉⠙⠉⠀⠙⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠛⠉⠛⠛⠏⠙⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠽⠥⠦⠦⢄⣤⣤⣤⣤⣀⣀⣂⣀⣠⣀⡀⣀⣀⣀⣀⡀⠄⠤⢤⣤⡤⢤⢤⣤⣤⣄⡀⣀⣀⣀⠀⡀⣀⣀⠀⣀⣀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⡀⠀⠀⣀⡀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⢀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠈⠉⠉⠉⠉⠉⠉⠉⠁⠈⠁⠀⠀⠈⠉⠉⠁⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠘⠛⠻⠿⠛⠻⠓⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠀⠀⠩⠇⠀⠀⠈⠀⠀⠀⠀⠁⠠⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡏⣿⣿⢹⡏⣹⡏⢿⡿⡿⣏⣿⢹⢿⣿⡟⢻⡿⣿⡿⣿⢿⡿⢫⡿⡏⡿⢹⢻⡿⣏⣿⣹⢿⡍⡏⢹⠻⡿⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⢹⡇⣿⢺⡇⣏⣇⢸⣿⣿⢻⡟⣾⢸⣿⡇⢸⡇⣿⡇⣿⢸⡗⢸⡇⡅⡗⢺⢸⡷⡏⣿⣿⢰⡆⡗⢺⠀⡇⢈⢳⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣼⣧⢿⣼⣿⣧⣿⣼⣿⣿⠾⣧⣿⣼⣿⣿⣿⠿⣿⣿⣿⠼⢿⣯⡿⢧⣿⣼⡿⣧⠿⢿⣼⢿⣧⣧⠼⣴⣿⣾⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣷⡿⢸⣿⣏⡧⣿⠉⣿⣾⡻⢸⠇⣿⢿⢹⣧⢸⣟⡇⣾⢻⣼⡏⣿⢹⡟⣿⢻⡏⢿⠸⡇⡏⢻⡏⡏⠉⡏⣷⣾⢹⡟⡟⣿⢡⡟⣷⢹⠹⡆⣿⡏⣷⣼⠹⢻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣁⣯⣸⢿⣏⡷⣿⣀⣿⣬⣹⢼⡍⣿⣈⣾⢼⣸⣏⡇⣿⣸⢿⣇⣿⢸⣷⣿⣿⡇⣾⢹⡇⣏⣹⡇⣏⣁⡏⣁⣿⣸⣧⣷⣿⠸⣇⣿⢸⣠⣇⡧⣧⢸⣇⣶⣏⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣶⣶⣿⣿⣷⣶⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⠿⠿⢿⣿⣿⣿⣿⡿⢿⣿⣿⢿⣿⡇⣿⣿⡇⣿⣿⣿⠋⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣸⣿⡇⣿⣿⡇⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠛⠩⠝⠛⠛⠛⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⣿⣿⣠⣿⣿⡇⠸⣿⡟⠉⠉⠉⠀⠙⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠛⠉⠛⠛⠏⠙⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠽⠵⠦⠦⣄⣤⣤⣤⣤⣀⣀⣂⣀⣀⣀⠀⢀⣀⣀⣀⠀⠄⠤⢤⣤⡤⢤⢤⣤⣤⣄⣀⣀⣀⣀⠄⡀⢀⣀⠀⣀⣀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⡀⠀⠀⣀⡀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⢀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠈⠉⠉⠉⠉⠉⠉⠉⠀⠈⠁⠀⠀⠀⠉⠉⠁⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉
⠘⠛⠻⠿⠛⠻⠓⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠀⠀⠨⠇⠀⠀⠈⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡏⣿⣿⢹⡏⣹⡏⢿⡿⡿⣏⣿⢹⢿⣿⡟⢻⡿⣿⡿⣿⢿⡿⢫⡿⡏⡿⢹⢻⡿⣏⣿⣹⢿⡍⡏⢹⠻⡿⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⢹⡇⣿⢺⡇⣏⣇⢸⣿⣷⢻⡟⣾⢸⣿⡇⢸⡇⣿⡇⣿⢸⡗⢸⡇⡅⡗⢺⢸⡷⡏⣿⣿⢰⡆⡗⢺⠀⡇⢈⢳⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣷⣿⣼⣧⢿⣼⣿⣧⣿⣼⣿⣿⢾⣧⣿⣼⣿⣿⣿⠻⢿⣿⣿⠼⣿⣯⣿⢧⣿⣾⡿⣧⠿⢿⣼⢿⣧⣧⡾⣤⣿⣾⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣷⣿⢸⣿⣏⡧⣿⠉⣿⣾⡻⢸⠃⣿⢿⢻⣧⢸⣟⡇⣾⢻⣼⡇⣿⢹⡟⣿⢻⡏⢿⢸⡇⡏⢻⡏⡏⠉⡏⣷⣾⢹⡟⡟⣿⢡⡟⣷⢹⠹⡆⣿⡏⣷⣼⠹⢻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣁⣯⣸⢿⣏⡷⣿⣀⣿⣬⣹⢼⡍⣿⣈⣿⢼⣸⣏⡇⣿⣸⢿⣇⣿⢸⣧⣿⣿⡇⣾⢹⡇⣏⣹⡇⣏⣁⡏⣁⣿⣸⣧⣷⣿⠸⣇⣿⢸⣠⣇⡧⣧⢸⣇⣶⣏⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣶⣶⣿⣿⣷⣶⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⠿⠿⢿⣿⣿⣿⣿⡿⢿⣿⣿⢿⣿⡇⣿⣿⡇⣿⣿⣿⠋⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣸⣿⡇⣿⣿⡇⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠛⠩⠝⠛⠛⠛⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⣟⣿⣠⣿⣿⡇⠸⣿⡏⠉⠉⠉⠀⠙⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠛⠉⠛⠛⠏⠙⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠭⠧⠦⠄⣀⣤⣤⣤⣤⣀⣀⣒⣀⣀⣀⡀⢀⣀⣀⣀⠀⠄⠤⢤⣤⡤⢤⢤⣤⣤⣄⡀⠀⡀⣀⠄⡀⢀⣀⠀⣀⣀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⡀⠀⠀⣀⡀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⢀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠈⠉⠉⠉⠉⠉⠉⠁⠁⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉
⠘⠛⠻⠿⠛⠻⠓⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠀⠂⠨⠇⠀⠀⠈⠀⠀⠀⠀⠁⠤⠀⠈⠀⠀⠀⠀⢀⠀⠀⠀⠈⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡏⣿⣿⢹⡏⣹⡏⢿⡿⡿⣏⣿⢹⢿⣿⡟⢻⡿⣿⡿⣿⢿⡿⢫⡿⡏⡿⢹⢻⡿⣏⣿⣹⢿⡍⡏⢹⠻⡿⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⢹⡇⣿⢺⡇⣏⣇⢸⣿⣷⢻⡟⣾⢸⣿⡇⢸⡇⣿⡇⣿⢸⡗⢸⡇⡅⡗⢺⢸⡷⡏⣿⣽⢰⡆⡗⢺⠀⡇⢈⢳⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣼⡧⢿⣼⣿⣧⣿⣼⣿⣿⣾⣧⣿⢼⣿⣿⣿⠻⣿⣿⣿⠼⣿⣯⣿⣧⣿⣼⡽⣧⠿⢿⣼⢿⣧⣧⠼⣤⣿⣾⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣷⣿⢸⣿⣏⡧⣿⠉⣿⣾⡻⢸⠃⣿⢿⢻⣧⢸⣟⡇⣾⢻⣼⡇⣿⢹⡟⣿⢻⡏⣻⢸⡇⡏⢻⡏⡏⠉⡏⣷⣾⢹⡟⡟⣿⢡⡟⣷⢹⠹⡆⣿⡏⣷⣼⠹⢻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣁⣯⣸⢿⣏⡷⣿⣀⣿⣬⣹⢼⡍⣿⣈⣾⢼⣸⣏⡇⣿⣸⢿⣇⣿⢸⣧⣿⣿⡇⣾⢹⡇⣏⣹⡇⣏⣁⡏⣁⣿⣸⣧⣷⣿⠸⣇⣿⢸⣠⣇⡧⣧⢸⣇⣶⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣷⣶⣶⣿⣿⣶⣶⣾⣿⣷⣶⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⠿⠿⢿⣿⣿⣿⣿⡿⢿⣿⣿⢿⣿⡇⣿⣿⡇⣿⣿⣿⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣸⣿⡇⣿⣿⡇⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠛⠩⠝⠛⠛⠛⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⣿⣿⣠⣿⣿⡇⠸⣿⡏⠉⠉⠉⠀⠙⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠛⠉⠛⠛⠏⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠭⠥⠤⠦⣀⣤⣤⣤⣤⣀⣀⣒⣀⣀⣀⡀⣀⣀⣀⣀⠀⠄⠤⠤⣤⡤⢤⢤⣤⣤⣄⡀⠀⣀⣀⠄⣀⣀⣀⠀⣀⣀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⡀⠀⠀⣀⡀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⢀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠈⠉⠉⠉⠉⠉⠉⠁⠀⠈⠀⠀⠀⠀⠈⠉⠁⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠘⠛⠻⠿⠛⠻⠓⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠀⠀⠨⠇⠀⠀⠀⠀⠀⠀⠀⠁⠄⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠈⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣏⡏⣿⣿⢹⡏⣹⡏⢿⡿⡟⣏⣿⢹⢿⣿⡟⢻⡿⣿⡿⣿⢿⡿⢫⡿⡏⡿⢹⢻⡿⣏⣿⣹⢿⡍⡏⢹⠻⡿⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⢹⡇⣿⢺⡇⣏⣇⢸⣷⣷⢻⡟⣾⢸⣿⡇⢸⡇⣿⡇⣿⢸⡗⢸⡇⡅⡗⢺⢸⡷⡇⣿⣿⢰⡆⡗⢺⠀⡇⢈⢳⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣼⡧⢿⣼⣿⣧⣿⣼⣿⣿⢾⣧⣿⢼⣿⣿⣿⠛⣿⣿⣿⠼⣿⣯⣿⣧⣿⣼⡿⣧⠿⢿⣼⢿⣧⣧⡼⣤⣿⣾⡿⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣷⡿⢸⣿⣏⡧⣿⠉⣿⣾⡻⢸⠇⣿⣿⢹⣧⢸⣟⡇⣾⢻⣼⡇⣿⢹⡟⣿⢻⡏⢿⠸⡇⡏⢻⡏⡏⠉⡏⣷⣾⢹⡟⡟⣿⢡⡟⣷⢹⠙⡆⣽⡏⢷⣼⠹⢻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣁⣯⣸⢿⣏⡷⣿⣀⣿⣬⣹⢼⡍⣿⣈⣿⢼⣸⣏⡇⣿⣸⢿⣇⣿⢸⣧⣿⣿⡇⣿⢹⡇⣏⣹⡇⣏⣁⡏⣁⣿⣸⣧⣷⣿⠸⣇⣿⢸⣠⣇⡧⣧⢸⣇⣶⣏⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣶⣶⣾⣿⣷⣶⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⠿⠿⢿⣿⣿⣿⣿⡿⢿⣿⣏⣿⣿⡏⣿⣿⡃⣿⣿⣿⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣸⣿⡇⣿⣿⡇⣻⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠛⠩⠝⠛⠛⠛⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⣿⣿⣠⣿⣿⡇⠸⣿⡏⠉⠉⠉⠀⠙⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠚⠉⠛⠛⠏⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠭⠥⠦⠄⡀⣤⣤⣤⣤⣀⣀⣂⣀⣀⣀⡀⣀⣀⣀⣀⡀⠄⠤⠤⣤⡤⢤⢤⣤⣤⣄⣀⣀⣀⣀⠄⢀⣀⣀⠀⣀⣀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⡀⠀⠀⣀⡀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⢀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠈⠉⠉⠁⠉⠉⠉⠁⠀⠀⠀⠀⠀⠁⠉⠉⠁⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠘⠛⠻⠿⠛⠻⠓⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠀⠀⠩⠇⠀⠀⠀⠀⠀⠀⠀⠁⠤⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡏⣿⣿⢹⡏⣹⡏⢿⡿⡿⣏⣿⢹⢿⣿⡟⢻⡿⣿⡿⣿⢿⡿⢫⡿⡏⡿⢹⢻⡿⣏⣿⣹⢿⡍⡏⢹⠻⡿⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⢹⡇⣿⢺⡇⣏⣇⢸⣷⣿⢻⡟⣾⢸⣿⡇⢸⡇⣿⡇⣿⢸⡗⢸⡇⡅⡗⢺⢸⡷⡏⣿⣿⢰⡆⡗⢺⠀⡇⢈⢳⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣼⣧⢿⣼⣿⣧⣿⣼⣿⣿⣾⣧⣿⣼⣿⣿⣿⠛⣿⣿⣿⠼⣿⣯⣿⣧⣿⣾⡼⣧⡿⢿⣼⣿⣧⣧⠾⣤⣿⣮⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣷⣿⢸⣿⣏⡧⣿⠉⣿⣾⡻⢸⠃⣿⣿⢹⣯⢸⣟⡇⣾⢻⣼⡇⣿⢹⡟⣿⣻⡏⢿⢸⡇⡏⢻⡏⡏⠉⡏⣷⣾⢹⡟⡟⣿⢡⡟⣷⢹⢹⡆⣿⡏⣷⣼⠹⢻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣁⣯⣸⢿⣏⡷⣿⣀⣿⣬⣹⢼⡍⣿⣈⣾⢼⣸⣏⡇⣿⣸⢿⣇⣿⢸⣧⣿⣿⡇⣾⢹⡇⣏⣹⡇⣏⣁⡏⣁⣿⣸⣧⣷⣿⠸⣇⣿⢸⣠⣇⡧⣧⢸⣇⣶⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣶⣶⣿⣿⣷⣶⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⠿⠿⣿⣿⣿⣿⣿⡿⢿⣿⣏⣿⣿⡏⣿⣿⡃⣿⣿⣿⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣸⣿⡇⣿⣿⡇⣻⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠛⠫⠝⠛⠛⠛⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⣿⣿⣠⣿⣿⡇⠼⣿⡏⠉⠙⠉⠀⠙⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠚⠉⠋⠛⠏⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠽⠵⠦⠦⣄⣤⣤⣤⣤⣀⣀⣒⣀⣀⣀⡀⣀⣀⣀⣀⡠⠄⠤⢤⣤⡤⢤⢤⣤⣤⣄⣀⣀⣀⣀⠄⣀⣀⣀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⡀⠀⠀⣀⡀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⢀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠈⠉⠉⠁⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠉⠉⠉⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠘⠛⠻⠿⠛⠻⠓⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠀⠀⠨⠇⠀⠀⠈⠀⠀⠀⠀⠁⠡⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡏⣿⣿⢹⡏⣹⡏⢿⡿⡿⣏⣿⢹⢿⣿⡟⢻⡿⣿⡿⣿⢿⡿⢫⡿⡏⡿⢹⢻⡿⣏⣿⣹⢿⡍⡏⢹⠻⡿⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⢹⡇⣿⢺⡇⣏⣇⢸⣷⣿⢻⡟⣾⢸⣿⡇⢸⡇⣿⡇⣿⢸⡗⢸⡇⡅⡗⢺⢸⡷⡏⣿⣿⢰⡆⡗⢺⠀⡇⢈⢳⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣼⣧⢿⣼⣿⣧⣿⣼⣿⣿⢾⣧⣿⢼⣟⣿⣿⠿⣿⣿⣿⠼⣿⣯⣿⢧⣿⣼⡿⣧⠿⢿⣼⢿⣧⣧⠾⣤⣿⣾⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣷⣿⢸⣽⣏⡧⣿⠉⣿⣾⡻⢸⠇⣿⣿⢻⣧⢸⣟⡇⣾⢻⣼⡇⣿⢹⡟⣿⢻⡏⣿⠸⡇⡏⢻⡏⡏⠉⡏⣷⣾⢹⡟⡟⣿⢡⡟⣷⢹⢹⡆⣿⡏⢷⣼⠹⢻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣁⣿⣸⢿⣏⡷⣿⣀⣿⣬⣹⢼⡍⣿⣈⣿⢼⣸⣏⡇⣿⣸⢿⣇⣿⢸⣧⣿⣿⡇⣾⢹⡇⣏⣹⡇⣏⣁⡏⣁⣿⣸⣧⣷⣿⠸⣇⣿⢸⣰⣇⡧⣧⢸⣇⣶⣏⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣶⣶⣿⣿⣷⣶⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⠿⠿⢿⣿⣿⣿⣿⡿⢿⣿⡏⣿⣿⡏⣿⣿⡃⣿⣿⣿⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣸⣿⡇⣿⣿⡇⣻⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠫⠝⠛⠛⠛⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⣿⣿⣠⣿⣿⡇⠼⣿⡏⠋⠉⠉⠀⠙⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠋⠉⠋⠛⠏⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠭⠥⠦⠦⢄⣤⣤⣤⣤⣀⣀⣂⣀⣠⣀⡀⠀⣀⣀⣀⡀⠄⠤⠤⣤⡤⢤⢤⣤⣤⣄⣀⣀⢀⣀⠀⡀⣀⣀⠀⣀⣀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⡀⠀⠀⣀⡀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⢀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠈⠉⠉⠉⠉⠉⠉⠁⠀⠁⠀⠀⠀⠀⠉⠉⠁⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠘⠛⠻⠿⠛⠻⠓⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠀⠀⠨⠇⠀⠀⠈⠀⠀⠀⠀⠁⠡⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠈⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡏⣿⣿⢹⡏⣹⡏⢿⡿⡿⣏⣿⢹⢿⣿⡟⢻⡿⣿⡿⣿⢿⡿⢫⡿⡏⡿⢹⢹⡿⣏⣿⣹⢿⡍⡏⢹⠻⡿⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⢹⡇⣿⢺⡇⣏⣇⢸⣿⣿⢻⡟⣾⢸⣿⡇⢸⡇⣿⡇⣿⢸⡗⢸⡇⡅⡗⢺⢸⡷⡏⣿⣿⢰⡆⡗⢺⠀⡇⢈⢳⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣼⣧⣿⣼⣿⣧⣿⣼⣿⣿⣾⣧⣿⣼⣿⣿⣿⠛⣿⣿⣿⠼⣿⣯⣿⣧⣿⣼⡿⣧⡿⣿⣼⢿⣧⣧⠼⣤⣿⣮⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣷⣿⢸⣿⣏⡧⣿⠉⣿⣾⡻⢸⠃⣿⣿⢻⣧⢸⣟⡇⣾⢻⣼⡇⣿⢹⡟⣿⣻⡏⣻⢸⡇⡏⢻⡏⡏⠉⡏⣷⣾⢹⡟⡟⣿⢡⡟⣷⢹⠹⡆⣿⡏⢷⣼⠹⢻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣁⣧⣸⢿⣏⡷⣿⣀⣿⣬⣹⢼⡍⣿⣈⣾⢼⣸⣏⡗⣿⣸⢿⣇⣿⢸⣧⣿⣿⡇⣾⢹⡇⣏⣹⡇⣏⣁⡏⣁⣿⣸⣧⣷⣿⠸⣇⣿⢸⣠⣇⡧⣧⢸⣇⣶⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣷⣶⣶⣿⣿⣶⣶⣾⣿⣷⣶⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⠿⠿⣿⣿⣿⣿⣿⡿⢿⣿⣏⣿⣿⡞⣿⣿⡉⣿⣿⡿⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣸⣿⡇⣿⣿⡇⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠩⠝⠛⠛⠛⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⣿⣿⣠⣿⣿⡇⠼⣿⡏⠉⠋⠉⠀⠙⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠋⠉⠋⠛⠋⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠭⠥⠦⠤⣀⣤⣤⣤⣤⣀⣀⣂⣀⣀⣀⡀⠀⣀⣀⣀⡠⠄⠤⠤⣤⡤⢤⢤⣤⣤⣄⣀⣀⣀⣀⠀⣀⣀⣀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⡀⠀⠀⣀⡀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⢀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠈⠉⠉⠁⠉⠉⠉⠉⠀⠈⠀⠀⠀⠀⠉⠉⠉⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠘⠛⠻⠿⠛⠻⠓⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠀⠀⠨⠇⠀⠀⠀⠀⠀⠀⠀⠁⠁⠀⠈⠀⠀⠀⠀⢀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡏⣿⣿⢹⡏⣹⡏⢿⡿⡿⣏⣿⢹⢿⣿⡟⢻⡿⣿⡿⣿⢿⡿⢫⡿⡏⡿⢹⢻⡿⣏⣿⣹⢿⡍⡏⢹⠻⡿⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⢹⡇⣿⢺⡇⣏⣇⢸⣷⣿⢻⡟⣾⢸⣿⡇⢸⡇⣿⡇⣿⢸⡗⢸⡇⡅⡗⢺⢸⡷⡏⣿⣿⢰⡆⡗⢺⠀⣇⢈⢳⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣼⣧⣿⣼⣿⣧⣿⣼⣿⣿⣾⣧⣿⣼⣿⣿⣿⠟⣿⣿⣿⠼⣿⣯⣿⣧⣿⣼⡿⣧⠿⣿⣼⣿⣧⣧⡾⣶⣿⣾⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣷⣿⢸⣿⣏⡧⣿⠉⣿⣾⡻⢸⠃⣿⣿⢻⣯⢸⣟⡇⣾⢻⣼⡇⣿⢹⡟⣿⣻⡏⣿⠸⡇⡏⢻⡏⡏⠉⡏⣷⣾⢻⡟⡟⣿⢡⡟⣷⢹⢙⡎⣿⡏⢷⣼⠹⢻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣁⣿⣸⢿⣏⡷⣿⣀⣿⣬⣹⢼⡍⣿⣈⣾⢼⣸⣏⡇⣿⣸⢿⣇⣿⢸⣧⣿⣿⡇⣿⢹⡇⣏⣹⡇⣏⣁⡏⣁⣿⣸⣧⣿⣿⠸⣇⣿⢸⣨⣇⡧⣧⢸⣇⣶⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣷⣶⣾⣿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣶⣶⣿⣿⣷⣶⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⠿⠿⣿⣿⣿⣿⣿⡿⢿⣿⡇⣿⣿⡾⣿⣿⡙⣿⣿⡿⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠛⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣸⣿⡇⣿⣿⡇⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠢⠖⠒⠒⠒⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⣿⣿⣠⣿⣿⡇⠼⣿⡏⠛⠋⠉⠀⠘⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠋⠉⠋⠛⠋⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠭⠷⠦⠦⢄⣤⣤⣤⣄⣀⣀⣂⣀⣀⣀⡀⠀⣀⣀⣀⡠⠄⠤⠤⣤⡤⢤⢤⣤⣤⣀⣀⢀⣀⣀⠀⣀⣀⣀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⡀⠀⠀⣀⡀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⢀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠈⠉⠉⠈⠉⠉⠉⠉⠁⠉⠀⠀⠀⠀⠉⠉⠉⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠘⠛⠻⠿⠛⠻⠓⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠀⠀⠩⠇⠁⠀⠀⠀⠀⡀⠀⠁⠅⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡏⣿⣿⢹⡏⣻⡏⢿⡿⡿⣏⣿⢹⢿⣿⡟⢻⡿⣿⡿⣿⢿⡿⢯⡿⡏⡿⢻⢿⡿⣏⣿⣹⢿⡍⡏⢻⠻⡿⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⢹⡇⣿⢺⡇⣏⣧⢸⣿⣿⢻⡟⣾⢸⣿⡇⢸⡇⣿⡇⣿⢸⡗⢸⡇⡅⡗⢺⢸⡷⡏⣿⣿⢰⡆⡗⢺⠀⡇⢈⢳⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣷⣿⣼⣿⣧⣿⣼⣿⣿⣾⣧⣿⣼⣿⣿⣿⠿⣿⣿⣿⠼⣿⣯⣿⣧⣿⣾⡿⣧⣿⣿⣼⢿⣧⣧⡾⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣷⣿⢸⣿⣏⡧⣿⠉⣿⣾⡻⢸⠇⣿⣿⢻⣯⢸⣟⡇⣿⢻⣼⡏⣿⢹⡟⣿⣻⡏⣿⢘⡇⡏⢻⡏⡏⠉⡏⣷⣾⢻⡿⡟⣿⢡⡟⣷⢹⠹⡎⣿⡏⣷⣽⠹⢻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣁⣯⣸⢿⣏⡷⣿⣀⣿⣬⣹⢼⡍⣿⣟⣿⢼⣸⣏⡗⣿⣸⢿⣇⣿⢸⣯⣿⣿⡇⣿⢹⡇⣏⣹⡇⣏⣁⡏⣁⣿⣸⣧⣿⣿⠸⣇⣿⣸⣨⣇⡧⣧⢸⣇⣷⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣾⣶⣶⣶⣶⣶⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣶⣶⣿⣿⣷⣶⣿⣿⣿⣿⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⠋⠉⠉⠉⠉⠉⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⠿⠿⣿⣿⣿⣿⣿⡿⣿⣿⡏⣿⣿⡾⣿⣿⡹⣿⣿⡿⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣸⣿⡇⣿⣿⣗⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠢⠖⠒⠒⠒⠒⠒⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⣿⣿⣠⣿⣿⡇⠽⣿⡏⠛⠋⠋⠀⠙⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠋⠉⠋⠻⠋⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠽⠷⠶⠦⣆⣤⣤⣤⣌⣀⣀⣒⣀⣠⣄⡀⣀⣀⣀⣀⡀⠄⣤⣤⣤⣤⢤⢤⣤⣤⣀⣀⣀⣀⣀⣄⣀⣀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⡀⠀⠀⣀⡀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⢀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠉⠁⠀⠈⠉⠉⠉⠉⠁⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠘⠛⠻⠿⠛⠻⠓⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠉⠀⠉⠀⠒⠪⠇⠁⠀⠈⠀⠀⡀⠀⠁⡥⠀⠈⠀⠀⠀⠀⢀⠀⠀⠀⠈⠉⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡏⣿⣿⢻⡟⣹⡏⢿⡿⡿⣏⣿⢹⢿⣿⡟⢻⡿⣿⡿⣿⢿⡿⢫⡿⡏⡿⢻⢿⡿⣏⣿⣹⢿⡝⡟⢻⠻⡿⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⢹⡇⣿⢺⡇⣏⣧⢸⣿⣿⢿⡟⣾⢸⣿⡇⢸⡇⣿⡇⣿⢸⡗⢸⡇⡅⡗⢺⢸⡷⡏⣿⣿⢰⡆⡗⢺⠀⣇⢈⢳⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣷⣿⣾⣿⣧⣿⣼⣿⣿⣾⣧⣿⣾⣿⣿⣿⣿⣿⣿⣿⣼⣿⣯⣿⣧⣿⣾⣿⣧⣿⣿⣼⣿⣧⣷⣾⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣷⣿⢸⣿⣏⡧⣿⠉⣿⣾⡻⢸⠏⣿⣿⢻⣯⢸⣟⡇⣿⢻⣼⡏⣿⢹⡟⣿⣻⡏⣿⠸⡇⡏⢻⡏⡏⠉⡏⣷⣾⢹⡿⡟⣿⢡⡟⣷⢹⢙⡎⣿⡏⣿⣽⠹⢻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣁⣿⣸⢿⣏⡷⣿⣀⣿⣬⣹⢼⡍⣿⣿⣿⢼⣸⣏⡷⣿⣸⢿⣇⣿⢸⣿⣿⣿⡇⣿⢹⡇⣏⣹⡇⣏⣁⡏⣅⣿⣸⣷⣿⣿⠸⣇⣿⣸⣨⣇⡧⣧⢸⣇⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣷⣶⣿⣿⣷⣶⣿⣿⣿⣿⣶⣶⣶⣶⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⠿⢿⣿⣿⣿⣿⣿⡿⣿⣿⡏⣿⣿⡸⣿⣿⡸⣿⣿⡟⠙⢿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣸⣿⡇⣿⣿⣇⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠢⠖⠒⠒⠒⠒⠒⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⣿⣿⣠⣿⣿⡇⠽⣿⡏⠛⠋⠋⠀⠘⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠋⠉⠋⠻⠋⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠷⠶⠦⣆⣤⣤⣤⣤⣐⣀⣒⣀⣀⣀⣀⣀⣀⣀⣀⡠⢤⡤⢤⣤⣤⢤⢤⣤⣤⣀⣀⣀⣀⣀⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⡀⠀⠀⣀⡀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠉⠉⠉⠉⠉⠉⠉⠉⠉⠈⠉⠁⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠘⠛⠻⠿⠛⠻⠓⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠉⠀⠉⠀⠒⠫⠗⠁⠀⠈⠀⠀⡀⠀⠁⡥⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠈⠉⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡏⡿⣿⢻⡟⣻⡏⢿⣿⡿⣏⣿⢹⢿⣿⡟⢻⣿⣿⡿⣿⢿⡿⢿⡿⡏⡿⢻⢿⡿⣏⣿⣹⢿⡝⡟⢻⠻⡿⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⢹⡇⣿⢺⣇⣏⣧⢸⣿⣿⢿⡟⣾⢸⣿⡇⢸⡟⣿⡇⣿⢸⡗⢸⡇⡅⡗⢺⢸⡷⡏⣿⣿⠰⡆⡗⢺⠀⣇⢈⢳⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣷⣿⣾⣿⣧⣿⣼⣿⣿⣾⣷⣿⣾⣿⣿⣿⡿⣿⣿⣿⣼⣿⣯⣿⣧⣿⣾⣿⣧⣿⣿⣼⣿⣧⣷⣾⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣷⣿⢹⣿⣏⡧⣿⠉⣿⣾⡻⢸⠏⣿⣿⢻⣿⢸⣟⡇⣿⢻⣼⡏⣿⢹⣟⣿⣿⡏⣿⠹⡇⡏⢻⡏⡏⠉⡏⣷⣾⢻⣿⣟⣿⢡⡟⣷⢻⢙⡎⣿⡏⣷⣽⠹⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣅⣿⣸⢿⣏⡷⣿⣀⣿⣬⣹⢼⡍⣿⣿⣿⢼⣸⣏⡷⣿⣸⢿⣇⣿⢸⣿⣿⣿⡇⣿⢩⡇⣏⣹⡇⣏⣁⡏⣅⣿⣸⣷⣿⣿⠸⣇⣿⣸⣨⣇⡧⣧⢸⣇⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣾⣶⣶⣾⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣶⣶⣿⣿⣷⣶⣿⣿⣿⣿⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠟⠛⠛⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⠿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡟⣿⣿⡼⣿⣿⣸⣿⣿⡟⠹⣿⣿⣿⣿⣿⣿⡿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣸⣿⡇⣿⣿⣷⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠢⠖⠒⠒⠒⠒⠒⠊⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⣿⣿⣠⣿⣿⡇⠽⣿⡏⠛⠛⠋⠀⠙⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠋⠉⠉⠻⠋⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠷⠷⡧⣦⣤⣤⣤⣤⣀⣀⣒⣀⣠⣄⣀⣀⣀⣀⣀⣠⢤⣤⣤⣤⣤⣤⣤⣤⣤⣄⣀⣀⣀⣀⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⡀⠀⠀⣀⡀⠀⠀⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠘⠛⠻⠿⠛⠻⠓⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠉⠀⠌⠄⠒⠻⠷⠁⠀⠉⠀⠀⡀⠈⠁⡥⠁⡈⡁⠀⠀⠀⣀⠀⠀⠀⠈⠉⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡏⣿⣿⢻⡟⣻⡟⢿⣿⣿⣟⣿⢹⢿⣿⡟⢻⣿⣿⡿⣿⢿⡿⢿⡿⡏⡿⢻⢿⡿⣏⣿⣹⢿⡝⡟⢻⠻⡿⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⢻⡇⣿⢺⡇⣏⣧⢸⣿⣿⣿⡟⣾⢸⣿⡇⢸⡟⣿⣇⣿⢸⡗⢸⡇⡅⡗⢺⢸⡷⡏⣿⣿⢰⡆⡗⢺⠀⣷⢈⢳⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣾⣿⣷⣿⣼⣿⣿⣾⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣧⣿⣾⣿⣧⣿⣿⣾⣿⣧⣷⣾⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣷⣿⢹⣻⣏⡧⣿⠉⣿⣾⡻⢸⠏⣿⣿⢻⣿⢹⣟⡧⣿⢻⣼⡏⣿⢹⣟⣿⣿⡏⣿⢹⡇⡏⣿⡏⡏⠉⡏⣷⣾⢻⣿⣟⣿⢡⡟⣷⢻⢹⡎⣿⡏⣷⣽⠹⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣅⣿⣸⢽⣏⡷⣿⣀⣿⣬⣹⢼⡍⣿⣿⣿⢼⣸⣏⡷⣿⣸⢿⣇⣿⢸⣿⣿⣿⡇⣿⢹⡇⣏⣻⣇⣏⣁⡏⣅⣿⣸⣿⣿⣿⠸⣇⣿⣸⣸⣇⡧⣧⢸⣧⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣷⣶⣾⣿⣿⣿⣿⣿⣶⣶⣶⣶⣾⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣷⣿⣿⣿⣷⣶⣿⣿⣿⣿⣷⣶⣶⣶⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⠛⠉⠉⠉⠉⠙⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⠿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡟⣿⣿⡾⣿⣿⣸⣿⣿⡟⠻⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣹⣿⡇⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠢⠖⠒⠒⠒⠒⠒⠊⠉⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⣿⣿⣠⣿⣿⡇⠿⣿⡏⠛⠛⠋⠀⠙⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠋⠉⠉⠻⠋⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠿⡷⣧⣦⣤⣤⣤⣬⣐⣄⣒⣠⣤⣤⣀⣀⣀⣄⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⣀⣀⣀⣀⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⡀⠀⠀⣀⡀⠀⠀⠀⢂⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⢀⠀⠀⣀⣀⣀⣀⡀⢀⠀⠀⠀⠉⠁⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠘⠛⠻⠿⠛⠿⠓⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠾⠿⠙⠑⠏⠈⠟⠻⠿⠃⠀⠉⠀⠀⡀⠉⠁⡧⠁⢈⡁⠀⠀⠀⣀⠀⠒⠀⠉⠉⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡏⣿⣿⢻⡟⣻⡟⢿⣿⣿⣟⣿⢹⢿⣿⡟⢻⣿⣿⡿⣿⢿⡿⢿⡿⡏⡿⢻⢿⡿⣏⣿⣹⢿⡝⡟⢻⠻⡿⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⢻⡇⣿⢺⡇⣏⣧⢸⣿⣿⢿⡟⣾⢸⣿⡇⢸⡟⣿⡇⣿⢸⡗⢸⡇⡅⡗⢺⢸⡷⡏⣿⣿⢰⡆⡗⢺⠀⣷⢈⢳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣷⣿⣾⣿⣧⣿⣼⣿⣿⣾⣧⣿⣾⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣧⣿⣾⣿⣧⣿⣿⣼⣿⣧⣷⣾⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣷⣿⢸⣿⣏⡧⣿⠉⣿⣾⡻⢸⠏⣿⣿⢻⣿⢸⣟⡇⣿⢻⣼⡏⣿⢹⣟⣿⣿⡏⣿⠹⡇⡏⢻⡏⡏⠋⡏⣷⣾⢻⣿⣟⣿⢡⡟⣷⢻⢹⡎⣿⡏⣷⣽⠹⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣅⣿⣸⢿⣏⡷⣿⣀⣿⣬⣹⢼⡍⣿⣿⣿⢼⣸⣏⡷⣿⣸⢿⣇⣿⢸⣿⣿⣿⡇⣿⢹⡇⣏⣹⡇⣏⣁⡏⣅⣿⣸⣷⣿⣿⠸⣇⣿⣸⣸⣇⡧⣧⢸⣇⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣷⣶⣶⣾⣿⣿⣿⣿⣿⣶⣶⣾⣷⣶⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣷⣶⣿⣿⣷⣾⣿⣿⣿⣿⣷⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⢿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡟⣿⣿⡼⣿⣿⢸⣿⣿⡏⠻⣿⣿⣿⣿⠋⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣹⣿⡇⣿⣿⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠢⠖⠒⠒⠒⠒⠒⠊⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⣿⣿⣠⣿⣿⡇⠿⣿⡏⠛⠛⠋⠀⠙⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠋⠉⠉⠻⠋⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠽⠷⠷⣦⣦⣤⣤⣤⣬⣀⣀⣂⣀⣀⣄⣀⣀⣀⣄⣀⣠⢤⣤⢤⣤⣤⣤⢤⣤⣤⣄⣀⣀⣀⣀⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⡀⠀⠀⣀⡀⠀⠀⠀⢀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢀⠀⠀⢀⣀⣀⣀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠈⠉⠉⠉⠉⠉⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠘⠛⠻⠿⠛⠻⠓⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠉⠀⠋⠀⠒⠻⠿⠁⠀⠉⠀⠀⡀⠈⠁⡥⠀⠈⡁⠀⠀⠀⣀⠀⠀⠀⠈⠉⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡏⣿⣿⢻⡟⣻⡟⢿⣿⣿⣟⣿⢹⢿⣿⡟⢻⣿⣿⡿⣿⢿⡿⢿⡿⡏⡿⢻⢿⡿⣏⣿⣹⢿⡝⡟⢻⠻⡿⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⢻⡇⣿⢺⣇⣏⣧⢸⣿⣿⣿⡟⣾⢸⣿⡇⢸⡟⣿⡇⣿⢸⡗⢸⡇⡅⡗⢺⢸⡷⡏⣿⣿⢰⡆⡗⢺⠀⣷⢈⢳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣾⣿⣷⣿⣼⣿⣿⣾⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣧⣿⣾⣿⣧⣿⣿⣼⣿⣧⣷⣾⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣷⣿⢸⣿⣏⡧⣿⠉⣿⣾⡻⢸⠏⣿⣿⢿⣿⢸⣟⡧⣿⢻⣼⡏⣿⢹⣟⣿⣿⡏⣿⢹⡇⡏⢿⡏⡟⠉⡏⣷⣾⢻⣿⣟⣿⢡⡟⣷⢹⢹⡎⣿⡏⣷⣽⠹⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣅⣿⣸⢾⣏⡷⣿⣀⣿⣬⣹⢼⡍⣿⣿⣿⢼⣸⣏⡷⣿⣸⢿⣇⣿⢸⣿⣿⣿⡇⣿⢹⡇⣏⣿⣇⣏⣁⡏⣅⣿⣸⣷⣿⣿⠸⣇⣿⣸⣸⣇⡧⣧⢸⣇⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣿⣶⣶⣾⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣷⣷⣿⣿⣷⣾⣿⣿⣿⣿⣷⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⠛⠛⠛⠛⠛⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡟⣿⣿⣼⣿⣿⢸⣿⣿⡏⠻⣿⣿⣿⠏⠀⠀⢀⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣹⣿⡇⣿⣿⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠣⠶⠒⠒⠒⠒⠒⠊⠙⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⣿⣿⣠⣿⣿⡇⠿⣿⡏⠛⠛⠋⠀⠙⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠋⠉⠉⠻⠋⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠷⡷⡧⣦⣤⣤⣤⣤⣐⣂⣒⣀⣠⣄⣄⣀⣀⣄⣀⣠⢤⣤⣦⣤⣤⣤⣤⣤⣤⣄⣀⣀⣀⣀⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⡀⠀⠀⣀⡀⠀⠀⠀⢂⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⢀⠀⠀⣀⣀⣀⣀⡀⢀⠀⠀⠀⠀⠀⠀⠈⠀⠀⡀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠘⠛⠻⠿⠛⠿⠓⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⢿⠉⠐⠋⠠⠟⠻⠿⠁⠀⠉⠁⠀⡀⠉⠁⡯⠁⢈⡁⠀⠀⠀⣀⡀⠒⠀⠉⠉⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡏⣿⣿⢻⡟⣻⡟⢿⣿⣿⣟⣿⢹⢿⣿⡟⢻⣿⣿⡿⣿⢿⡿⢿⡿⡏⡿⢻⢿⡿⣏⣿⣹⢿⡟⡟⢻⠻⡿⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⢻⡇⣿⢺⣇⣏⣧⢸⣿⣿⣿⡟⣾⢸⣿⡇⢸⡟⣿⡇⣿⢸⡗⢸⡇⡅⡗⢺⢸⡷⡏⣿⣿⢰⡆⡗⢺⠀⣷⢈⢳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣾⣿⣷⣿⣼⣿⣿⣾⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣧⣿⣾⣿⣧⣿⣿⣼⣿⣧⣷⣾⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣷⣿⢹⣿⣏⡧⣿⠋⣿⣾⡻⢸⠏⣿⣿⢿⣿⢹⣟⡇⣿⢻⣼⡏⣿⢹⣟⣿⣿⡏⣿⢹⡇⡏⣿⡏⡏⠉⡏⣷⣾⢻⣿⣟⣿⢡⡟⣷⢻⢹⡎⣿⡏⣿⣽⠹⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣅⣿⣸⢽⣏⡷⣿⣀⣿⣬⣹⢼⡍⣿⣿⣿⢼⣸⣏⡷⣿⣸⢿⣇⣿⢸⣿⣿⣿⡇⣿⢹⡇⣏⣿⣇⣏⣁⡏⣅⣿⣸⣿⣿⣿⠸⣇⣿⣸⣸⣇⡧⣧⢸⣧⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣿⣶⣶⣾⣿⣿⣿⣿⣿⣶⣶⣾⣷⣾⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣷⣿⣿⣿⣿⣶⣿⣿⣿⣿⣷⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠉⠉⠉⠉⠉⠉⠉⠉⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⡿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡟⣿⣿⣾⣿⣿⢸⣿⣿⡏⠻⣿⣿⡟⠀⠀⠀⣴⣶⣿⣶⣄⠀⠀⠀⠀⠀⠀⢀⡀⡀⠀⡀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣹⣿⡇⣿⣿⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠣⠖⠛⠒⠒⠒⠒⠋⠉⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⣿⣿⣠⣿⣿⡇⠿⣿⡏⠛⠛⠋⠀⠙⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠋⠉⠉⠻⠋⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠷⡷⣧⣦⣤⣤⣤⣬⣐⣂⣒⣀⣤⣤⣄⣀⣀⣄⣄⣤⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⡀⠀⠀⣀⡀⠀⠀⠀⢂⠆⠄⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⢀⢀⠀⣀⣀⣀⣀⡀⢀⠀⠁⠀⠉⠁⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠘⠛⠻⠿⠛⠿⠓⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠾⢿⠙⠐⠫⠬⠞⠻⠿⠃⠀⠉⠁⠀⡀⠉⠁⡯⠁⢈⡁⠀⠀⠀⣀⠀⠒⠈⠉⠉⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡏⣿⣿⢻⡟⣻⡟⢿⣿⣿⣟⣿⢹⢿⣿⡟⢻⣿⣿⡿⣿⢿⡿⢻⡿⡏⡿⢻⢿⡿⣏⣿⣹⢿⡝⡟⢻⠻⡿⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⢻⡇⣿⢺⣇⣏⣧⢸⣿⣿⣿⡟⣾⢸⣿⡇⢸⡟⣿⡇⣿⢸⡗⢸⡇⡅⡗⢺⢸⡷⡏⣿⣿⢰⡆⡗⢺⠀⣷⢈⢳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣾⣿⣷⣿⣼⣿⣿⣾⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣧⣿⣾⣿⣧⣿⣿⣾⣿⣧⣷⣾⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣷⣿⢹⣿⣏⡧⣿⠋⣿⣾⡻⢸⠏⣿⣿⢻⣿⢹⣟⡇⣿⢻⣼⡏⣿⢹⣿⣿⣿⡏⣿⢹⡇⡏⣿⡏⡏⠉⡏⣷⣾⢻⣿⣟⣿⢡⡟⣷⢻⢹⡎⣿⡏⣿⣽⠹⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣅⣿⣸⢿⣏⡷⣿⣀⣿⣬⣹⢼⡍⣿⣿⣿⢼⣸⣏⡷⣿⣸⢿⣇⣿⢸⣿⣿⣿⡇⣿⢹⡇⣏⣽⣇⣏⣁⡏⣅⣿⣸⣿⣿⣿⠸⣇⣿⣸⣸⣇⡧⣧⢸⣧⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣷⣶⣶⣾⣿⣿⣿⣿⣿⣶⣶⣾⣷⣶⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣶⣷⣿⣿⣿⣶⣿⣿⣿⣿⣷⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡟⣿⣿⣾⣿⣿⢸⣿⣿⡏⠻⣿⣿⠃⠀⠀⣰⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⣠⢠⣴⡄⠠⡄⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣹⣿⡇⣿⣿⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠛⠻⠗⠛⠒⠒⠒⠒⠋⠙⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⣿⣿⣠⣿⣿⡇⠿⣿⡏⠛⠛⠋⠀⠙⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠋⠉⠉⠛⠋⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠿⣷⣧⣦⣤⣤⣤⣬⣐⣦⣒⣠⣤⣤⣀⣀⣀⣄⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⣀⣀⣀⣀⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⡀⠀⠀⣀⡀⠀⠀⠀⢀⠄⠄⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⢀⡀⠀⣀⣀⣀⣀⣀⢈⠈⠀⠀⠉⠀⠀⠈⠀⢀⡀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠘⠛⠻⠿⠛⠿⠓⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⠾⢿⠉⠁⠋⢤⠟⠻⠿⠓⠀⠉⠁⠀⡀⠉⠁⡷⠁⢈⡁⠀⠀⠀⣀⠀⠂⠀⠉⠉⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡏⣿⣿⢻⡟⣻⡟⢿⣿⣿⣟⣿⢹⢿⣿⡟⢻⣿⣿⡿⣿⢿⡿⢿⡿⡏⡿⢻⢿⡿⣏⣿⣹⢿⡝⡟⢻⠻⡿⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⢻⡇⣿⢺⣇⣏⣧⢸⣿⣿⣿⡟⣾⢸⣿⡇⢸⡿⣿⡇⣿⢸⡗⢸⡇⡅⡗⢺⢸⡷⡏⣿⣿⢰⡆⡗⢺⠀⣷⢈⢳⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣾⣿⣷⣿⣾⣿⣿⣿⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣯⣿⣧⣿⣾⣿⣧⣿⣿⣾⣿⣧⣷⣾⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣷⣿⢹⢿⣏⡧⣿⠉⣿⣾⡻⢸⠏⣿⣿⢻⣿⢹⣟⡧⣿⢻⣼⡏⣿⢹⣟⣿⣿⡏⣿⢹⡇⡏⣿⡏⡏⠋⡏⣷⣾⢻⣿⣿⣿⢡⡟⣿⢹⢹⡏⣿⡏⣿⣽⠹⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣅⣿⣸⢿⣏⡷⣿⣀⣿⣬⣹⢼⡍⣿⣿⣿⢼⣸⣏⡷⣿⣸⢿⣇⣿⢸⣿⣿⣿⡇⣿⢹⡇⣏⣽⡇⣏⣁⡏⣅⣿⣸⣿⣿⣿⠸⣇⣿⣸⣸⣇⡧⣧⢸⣧⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣿⣷⣶⣾⣿⣿⣿⣿⣿⣶⣶⣾⣷⣾⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣷⣷⣿⣿⣿⣶⣿⣿⣿⣿⣷⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⡟⠀⠀⠀⣴⣿⣿⣿⣦⣤⠀⠀⠀⠀⠀⡀⣤⣢⠀⢠⡀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡟⣿⣿⣿⣿⣿⢸⣿⣿⡏⠻⣿⣿⠀⠀⢰⣿⣿⣿⣿⣿⡗⠀⠀⢀⠀⠀⣹⣸⣿⣿⣾⣧⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⣹⣿⡇⣿⣿⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠻⠟⠟⠒⠒⠒⠒⠉⠙⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⣿⣿⣠⣿⣿⡇⠿⣿⡏⠛⠛⠋⠀⠙⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠋⠉⠉⠻⠋⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠷⡷⣧⣦⣤⣤⣤⣬⣲⣆⣒⣠⣤⣤⣄⣀⣀⣄⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⣀⣀⣀⣀⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⡀⠀⠀⣀⡀⠀⠀⠀⢂⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⢀⡀⠀⣀⣀⣀⣀⣀⢈⠀⡀⠀⠉⠁⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠘⠛⠻⠿⠛⠿⠓⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠾⠿⠙⠐⠋⠬⠗⠻⠿⠁⠀⠉⠀⠀⡀⠉⠁⣽⠁⣈⡁⠀⠀⠀⣀⡀⠒⠈⠉⠉⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡟⣿⣿⢻⡟⣻⡟⢿⣿⣿⣟⣿⢹⢿⣿⡟⢻⣿⣿⡿⣿⢿⡿⢿⡿⡏⡿⢻⢿⡿⣏⣿⣹⢿⡝⡟⢻⠻⡿⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⢻⡇⣿⢺⣇⣏⣧⢸⣿⣿⣿⡟⣾⢸⣿⡇⢸⡿⣿⣇⣿⢸⡗⢸⡇⡅⡗⢺⢸⡷⡏⣿⣿⢰⡆⡗⢺⠀⣷⢈⢳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣾⣿⣷⣿⣼⣿⣿⣿⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣧⣿⣾⣿⣧⣿⣿⣼⣿⣧⣷⣾⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣷⣿⢹⢿⣏⡧⣿⠋⣿⣾⡻⢸⠏⣿⣿⢻⣿⢹⣟⡇⣿⢻⣼⡏⣿⢹⣟⣿⣿⡏⣿⢹⡇⡏⣿⡏⡏⠋⡏⣷⣾⢻⣿⣿⣿⢡⡟⣿⢹⢹⡎⣿⡏⣿⣽⠹⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣅⣿⣸⢿⣏⡷⣿⣀⣿⣬⣹⢼⡍⣿⣿⣿⢼⣸⣏⡷⣿⣸⢿⣇⣿⢸⣿⣿⣿⡇⣿⢹⡇⣏⣿⣇⣏⣁⣏⣅⣿⣸⣿⣿⣿⠸⣇⣿⣸⣸⣇⡧⣧⢸⣧⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣿⣷⣶⣾⣿⣿⣿⣿⣿⣶⣶⣾⣷⣾⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣷⣿⣿⣿⣿⣶⣿⣿⣿⣿⣷⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠛⠛⠛⠛⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⢀⣠⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⣿⣿⣿⡏⠀⠀⠀⣾⣿⣿⣿⣿⣖⠀⠀⠀⠀⠀⣶⢳⣾⣴⣸⣆⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⡿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⣿⣿⣿⣿⣿⢸⣿⣿⠏⢿⣿⣿⠀⠀⣸⣿⣿⣿⣿⣿⠃⠀⠀⡀⠠⢠⣼⣾⣿⣿⣿⣿⡄⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⣹⣿⣇⣿⣿⣸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠻⠟⠛⠓⠒⠒⠚⠉⠙⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⣿⣿⣠⣿⣿⡇⠿⣿⡏⠛⠛⠋⠀⠙⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠋⠉⠉⠛⠋⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠷⣷⣧⣦⣤⣤⣤⣬⣐⣀⣒⣠⣤⣤⣀⣀⣀⣄⣀⣤⣤⣤⣦⣤⣤⣤⣤⣤⣤⣄⣀⣀⣀⣀⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⡀⠀⠀⣀⡀⠀⠀⠀⢀⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⢀⠀⠀⣀⣀⣀⣀⣀⢈⠁⠀⠀⠉⠁⠀⠀⠁⢀⡀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠘⠛⠻⠿⠛⠿⠓⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠾⢟⠙⠱⠏⠬⠗⠻⠿⠃⠀⠉⠀⠀⡀⠉⠁⣽⠁⣈⡁⠀⠀⠀⣀⡀⠒⠈⠉⠉⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡟⣿⣿⢻⡟⣻⡟⢿⣿⣿⣟⣿⢹⢿⣿⡟⢻⣿⣿⡿⣿⢿⡿⢿⡿⡏⡿⢻⢿⡿⣏⣿⣹⢿⡝⡟⢻⠻⡿⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⢻⡇⣿⢺⣇⣏⣧⢸⣿⣿⣿⡟⣾⢸⣿⡇⢸⡿⣿⣇⣿⢸⡗⢸⡇⡅⡗⢺⢸⡷⡏⣿⣿⢰⡆⡗⢺⠀⣿⢈⢳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣾⣿⣷⣿⣼⣿⣿⣿⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣧⣿⣾⣿⣧⣿⣿⣼⣿⣷⣷⣾⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣷⣿⢹⣿⣏⡧⣿⠋⣿⣾⡻⢸⠏⣿⣿⢻⣿⢹⣟⡇⣿⢻⣼⡏⣿⢹⣟⣿⣿⡏⣿⢹⡇⡏⣿⡏⡏⠋⡏⣷⣾⢻⣿⣿⣿⢡⡟⣿⢹⢹⡏⣿⡏⣿⣽⠹⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣅⣿⣸⢿⣏⡷⣿⣀⣿⣬⣹⢼⡏⣿⣿⣿⢼⣸⣏⡷⣿⣸⢿⣇⣿⢸⣿⣿⣿⡇⣿⢹⡇⣏⣽⣇⣏⣁⣏⣅⣿⣸⣿⣿⣿⠸⣇⣿⣸⣸⣇⡧⣷⢸⣧⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣾⣷⣶⣾⣿⣿⣿⣿⣿⣶⣶⣾⣷⣾⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣷⣿⣿⣿⣷⣾⣿⣿⣿⣿⣷⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠈⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣠⣶⣾⣷⣦⣄⠀⠀⠀⠀⠀⡀⣄⣠⢀⢠⡀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠈⣻⣸⣿⣿⣾⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⣿⣿⣿⣿⣿⢸⣿⣿⠏⢿⣿⣿⠀⢀⣾⣿⣿⣿⣿⡟⠁⠀⢀⡜⢠⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣹⣿⣇⣿⣿⣸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⠽⠛⠛⠒⠒⠚⠉⠙⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⣿⣿⣠⣿⣿⡇⠿⣿⡏⠛⠛⠋⠀⠙⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠉⠉⠉⠻⠋⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠿⣷⣧⣦⣤⣤⣤⣬⣰⣦⣒⣀⣤⣄⣀⣀⣀⣄⣄⣤⣤⣤⣴⣤⣤⣤⣤⣤⣤⣄⣀⣀⣀⣀⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⡀⠀⠀⣀⡀⠀⠀⠀⢒⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⢀⣀⠀⣀⣀⣀⣀⣀⢈⠉⡁⠀⠉⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠘⠛⠻⠿⠛⠿⠓⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⠾⠿⠙⠑⠏⢴⠟⠻⠿⠓⠀⠉⠁⠀⡀⠉⠁⣿⠉⣈⡁⠀⠀⠀⣀⠀⠒⠈⠉⠉⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡟⣿⣿⢻⡟⣻⡟⢿⣿⣿⣟⣿⢹⢿⣿⡟⢻⣿⣿⡿⣿⢿⡿⢿⡿⡏⡿⢻⢿⡿⣏⣿⣹⢿⡝⡟⢻⠻⡿⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⢻⡇⣿⢺⣇⣏⣧⢸⣿⣿⣿⡟⣾⢸⣿⡇⢸⡟⣿⣷⣿⢸⡗⢸⡇⡅⡗⢺⢸⡷⡏⣿⣿⢰⡆⡗⢺⠀⣷⢈⢳⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣾⣿⣷⣿⣼⣿⣿⣿⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣧⣿⣾⣿⣷⣿⣿⣾⣿⣧⣷⣾⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣷⣿⢹⢿⣏⡧⣿⠋⣿⣾⡻⢸⠏⣿⣿⢻⣿⢹⣟⡇⣿⢻⣼⡏⣿⢹⣟⣿⣿⡏⣿⢹⡇⡏⢿⡏⡏⠋⡏⣷⣾⢻⣿⣿⣿⢡⡟⣿⢹⢹⡎⣿⡏⣿⣽⠹⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣅⣿⣸⢿⣏⡷⣿⣀⣿⣬⣹⢼⡍⣿⣿⣿⢼⣸⣏⡷⣿⣸⢿⣇⣿⢸⣿⣿⣿⡇⣿⢹⡇⣏⣽⣇⣏⣁⣏⣅⣿⣸⣿⣿⣿⠸⣇⣿⣸⣸⣇⡧⣧⢸⣧⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣷⣿⣷⣶⣾⣿⣿⣿⣿⣿⣶⣶⣾⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣷⣿⣿⣿⣿⣾⣿⣿⣿⣿⣷⣶⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠟⠛⠛⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢀⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⠰⣦⢶⣵⣤⣰⡆⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣻⣿⣿⣿⣿⣿⡇⠀⠀⣸⣿⣿⣿⣿⣿⠇⠀⠀⣤⠤⣤⣾⣾⣿⣿⣿⣿⡀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⣿⣿⣿⣿⣿⢹⣿⣿⠟⢿⣿⣿⠀⣰⣿⣿⡿⠟⠛⠉⠀⠀⢰⠇⠐⠿⠿⠿⠿⢿⣿⣿⣇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⣹⣿⣏⣿⣿⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠲⠿⠛⠛⠒⠒⠚⠉⠙⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⣿⣿⣠⣿⣿⡇⠿⣿⡏⠛⠛⠋⠀⠙⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠉⠉⠉⠛⠋⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠿⣷⣧⣦⣤⣤⣤⣬⣴⣢⣒⣠⣤⣤⣄⣀⣀⣄⣀⣤⣤⣤⣦⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⡀⠀⠀⣀⡀⠀⠀⠀⢂⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⣀⠈⡀⢁⠀⠀⣀⣀⣀⣀⣀⢈⠁⡀⠈⠉⠁⠀⠀⠈⢀⡀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠘⠛⠻⠿⠛⠿⠓⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠜⢛⠛⠣⠯⢼⠗⠻⠿⠁⠈⠉⠁⠀⡀⠉⠁⡧⠀⣈⡉⠀⠀⠀⣀⡈⠒⠀⠉⠉⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡟⣿⣿⢻⡟⣻⡟⢿⣿⣿⣟⣿⢹⢿⣿⡟⢻⣿⣿⡿⣿⢿⡿⢿⡿⡏⡿⢻⢿⡿⣏⣿⣹⢿⡝⡟⢻⠻⡿⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⢻⡇⣿⢺⣇⣏⣧⢸⣿⣿⣿⡟⣾⢸⣿⡇⢸⡟⣿⡗⣿⢸⡗⢸⡇⡅⡗⢺⢸⡷⡏⣿⣿⢰⡆⡗⢺⠀⣷⢈⢳⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣷⣿⣾⣿⣧⣿⣼⣿⣿⣾⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣧⣿⣾⣿⣧⣿⣿⣼⣿⣧⣷⣾⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣷⣿⢹⣿⣏⡧⣿⠋⣿⣾⡻⢸⠏⣿⣿⢻⣿⢹⣟⡇⣿⢻⣼⡏⣿⢹⣟⣿⣿⡏⣿⢹⡇⡏⣻⡏⡟⠋⡏⣷⣾⢻⣿⣿⣿⢡⡟⣿⢹⢹⡏⣿⡏⣿⣽⠹⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣅⣿⣸⢿⣏⡷⣿⣀⣿⣬⣻⢼⡏⣿⣿⣿⢼⣸⣏⡷⣿⣸⢿⣇⣿⢸⣿⣿⣿⡇⣿⢹⡇⣏⣹⣇⣏⣁⣏⣅⣿⣸⣿⣿⣿⠸⣇⣿⣸⣸⣇⡧⣷⢸⣇⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣿⣷⣶⣾⣿⣿⣿⣿⣿⣶⣶⣿⣶⣶⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣷⣿⣿⣿⣿⣶⣿⣿⣿⣿⣷⣾⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⣴⣶⣿⣶⣤⡄⠀⠀⠀⠀⢀⡄⣤⣤⠀⢤⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⢀⣀⣈⣻⣻⣿⣿⣾⣧⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⢠⣿⣿⣿⣿⠿⠟⠀⠀⢠⡏⢰⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⣿⣿⢿⣿⣯⢹⣿⣿⠟⢿⣿⣿⠀⣿⣿⣿⡏⠀⠀⠀⠀⠀⠘⠀⠀⠉⠁⠀⠀⠉⣿⣿⣿⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⣹⣿⣎⣿⣿⣸⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠲⠿⠛⠛⠓⠚⠛⠉⠙⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⣿⣿⣠⣿⣿⡇⠿⣿⡟⠛⠛⠋⠀⠙⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠉⠉⠉⠛⠋⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠿⣷⣧⣦⣥⣤⣤⣬⣴⣠⣒⣠⣤⣄⣀⣀⣀⣄⣀⣤⣤⣤⣦⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⡀⠀⠀⣀⡀⠀⠀⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠈⠀⢀⢀⠀⣀⣀⣀⣀⣀⢀⠀⠀⠈⠉⠁⠀⠀⠈⠀⡀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠘⠛⠻⠿⠛⠿⠓⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠼⢿⠉⠳⠯⢸⡗⠻⠿⠃⠈⠉⠁⠀⡀⠉⠁⡭⠀⢈⡉⠀⠀⠀⣀⠀⠒⠀⠉⠉⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡟⣿⣿⢻⡟⣻⡟⢿⣿⣿⣟⣿⢹⢿⣿⡟⢻⣿⣿⡿⣿⢿⡿⢿⡿⡏⣿⢻⢿⡿⣏⣿⣹⢿⡟⡟⢻⠻⡿⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⢻⡇⣿⢺⣇⣏⣧⢸⣿⣿⣿⡟⣾⢸⣿⡇⢸⡟⣿⣗⣿⢸⡗⢸⡇⡅⡗⢺⢸⡷⡏⣿⣿⢰⡆⡗⢺⠀⣷⢈⢳⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣷⣿⣾⣿⣧⣿⣼⣿⣿⣿⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣧⣿⣾⣿⣧⣿⣿⣼⣿⣷⣷⣾⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣷⣿⢹⢿⣏⡧⣿⠋⣿⣾⡻⢸⠏⣿⣿⢻⣿⢹⣟⡧⣿⢻⣼⡏⣿⢹⣟⣿⣿⡏⣿⢹⡇⡏⢿⡟⡟⠋⡏⣷⣾⢻⣿⣿⣿⢡⡟⣿⢹⢹⡎⣿⡏⣿⣽⠹⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣅⣿⣸⢿⣏⡷⣿⣀⣿⣬⣻⢼⡍⣿⣿⣿⢼⣸⣏⡷⣿⣸⢿⣇⣿⢸⣿⣿⣿⡇⣿⢹⡇⣏⣹⣇⣏⣁⣏⣅⣿⣸⣿⣿⣿⠸⣇⣿⣸⣸⣇⡧⣷⢸⣇⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣿⣷⣶⣾⣿⣿⣿⣿⣿⣶⣶⣾⣶⣾⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣷⣿⣿⣿⣿⣾⣿⣿⣿⣿⣷⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⣴⣿⣿⣷⣶⡆⠀⠀⠀⠀⢠⡄⣤⣦⢄⣦⡀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣸⣿⣿⣿⣿⣿⠇⠀⠀⣀⣀⣠⣽⣽⣿⣿⣿⣧⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⣠⣿⣿⣿⡿⠿⠟⠀⠀⣰⠇⢸⣿⣿⣿⢿⣿⣿⣿⡆⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⣿⣿⣿⣿⣯⢹⣿⣿⠟⢿⣿⣿⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠈⠀⡀⠀⠀⠀⠀⠠⣽⣿⣿⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⣹⣿⣎⣿⣿⣸⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠳⠞⠛⠛⠒⠚⠛⠉⠙⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⣿⣿⣠⣿⣿⡇⠿⣿⡟⠛⠛⠋⠀⠙⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠉⠉⠉⠛⠋⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠿⣷⣧⣦⣥⣤⣤⣬⣴⣢⣒⣠⣤⣄⣀⣀⣀⣄⣀⣤⣤⣤⣦⣤⣤⣤⣤⣤⣤⣄⣀⣀⣀⣀⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⡀⠀⠀⣀⡀⠀⠀⠀⢂⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠈⢀⢀⠀⣀⣀⣀⣀⣀⢀⠀⡀⠀⠉⠁⠀⠀⠁⠀⡀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠘⠛⠻⠿⠛⠿⠓⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠷⠋⠣⠋⠨⠗⠻⠿⠃⠈⠉⠁⠀⡀⠉⠁⡿⠀⢉⡉⠀⠀⠀⣀⠀⠒⠀⠉⠉⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡏⣿⣿⢻⡟⣻⡟⢿⣿⣿⣟⣿⢹⢿⣿⡟⢻⣿⣿⡿⣿⢿⡿⢿⡿⡏⡿⢻⢿⡿⣏⣿⣹⢿⡟⡟⢻⠻⡿⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⢻⡇⣿⢺⣇⣏⣧⢸⣿⣿⣿⡟⣾⢸⣿⡇⢸⡟⣿⣇⣿⢸⡗⢸⡇⡅⡗⢺⢸⡷⡏⣿⣿⢰⡆⡗⢺⠀⣷⢈⢳⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣾⣿⣧⣿⣼⣿⣿⣾⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣧⣿⣾⣿⣧⣿⣿⣾⣿⣷⣷⣾⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣷⣿⢹⢿⣏⡧⣿⠋⣿⣾⡻⢸⠏⣿⣿⢻⣿⢹⣟⡏⣿⢻⣼⡏⣿⢹⣟⣿⣿⡏⣿⢹⡇⡏⢻⡏⡏⠋⡏⣷⣾⢻⣿⣿⣿⢡⡟⣿⢹⢹⡏⣿⡏⣿⣽⠹⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣅⣿⣸⢿⣏⡷⣿⣀⣿⣬⣹⢼⡏⣿⣿⣿⢼⣸⣏⡷⣿⣸⢿⣇⣿⢸⣿⣿⣿⡇⣿⢹⡇⣏⣽⣇⣏⣁⣏⣅⣿⣸⣿⣿⣿⠸⣇⣿⣸⣸⣇⡧⣧⢸⣧⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣿⣷⣶⣾⣿⣿⣿⣿⣿⣶⣶⣾⣷⣾⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣷⣿⣿⣿⣷⣶⣿⣿⣿⣿⣷⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⢀⣾⣿⣿⣿⣶⡦⠀⠀⠀⠀⢰⡆⣦⣦⣄⢦⡀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣼⣿⣿⣿⣿⣿⠃⠀⠀⣤⣤⣤⣽⣿⣿⣿⣿⣷⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⣰⣿⣿⣿⠿⠿⠃⠀⠀⣼⠟⢺⣿⣿⠿⠿⣿⣿⣿⡆⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⣿⣿⢿⣿⣯⢻⣿⣿⠟⢿⣿⣿⢀⣿⣿⣿⡅⠀⠀⠀⠀⠀⠈⢀⣀⠀⠀⠀⠀⠠⣿⣿⣿⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⣻⣿⣾⣿⣿⣸⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠣⠟⠛⠛⠒⠛⠚⠉⠙⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⣿⣿⣠⣿⣿⡇⠿⣿⡟⠛⠛⠋⠀⠛⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠉⠉⠉⠛⠋⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠿⣷⣧⣦⣥⣤⣤⣬⣴⣂⣒⣀⣤⣄⣀⣀⣀⣀⣀⣠⣤⣤⣦⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢁⡀⠀⠀⣀⡀⠀⠀⠀⢐⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⢀⠀⡀⣀⣀⣀⣀⣀⢀⠀⡀⠈⠁⠁⠀⠈⠀⢀⡀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠘⠛⠻⠿⠛⠿⠓⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠾⠷⠛⠓⠏⠼⠗⠻⠷⠃⠀⠉⠁⠀⡀⠉⠑⣷⠀⢉⠉⠀⠀⠀⣀⠀⠒⠀⠉⠉⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡟⣿⣿⢻⡟⣻⡟⢿⣿⣿⣟⣿⢹⢿⣿⡟⢻⣿⣿⡿⣿⢿⡿⢿⡿⡏⡿⢻⢿⡿⣏⣿⣹⢿⡝⡟⢻⠻⡿⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⢻⡇⣿⢺⣇⣏⣧⢸⣿⣿⣿⡟⣾⢸⣿⡇⢸⡟⣿⡗⣿⢸⡗⢸⡇⡅⡗⢺⢸⡷⡏⣿⣿⢰⡆⡗⢺⠀⣷⢈⢳⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣷⣿⣾⣿⣷⣿⣼⣿⣿⣿⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣯⣿⣧⣿⣾⣿⣧⣿⣿⣾⣿⣷⣷⣾⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣷⣿⢹⣿⣏⡧⣿⠋⣿⣾⡻⢸⠏⣿⣿⢻⣿⢹⣟⡇⣿⢻⣼⡏⣿⢹⣟⣿⣿⡏⣿⢹⡇⡏⢻⡏⡟⠋⡏⣷⣾⢻⣿⣿⣿⢡⡟⣿⢹⢹⡎⣿⡏⣿⣽⠹⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣅⣿⣸⢿⣏⡷⣿⣀⣿⣬⣹⢼⡏⣿⣿⣿⢼⣸⣏⡷⣿⣸⢿⣇⣿⢸⣿⣿⣿⡇⣿⢹⡇⣏⣹⣇⣏⣁⣏⣅⣿⣸⣿⣿⣿⠸⣇⣿⣸⣸⣇⡧⣧⢸⣇⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣿⣷⣶⣾⣿⣿⣿⣿⣿⣶⣶⣿⣶⣾⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣷⣿⣿⣿⣿⣾⣿⣿⣿⣿⣷⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠛⠛⠋⠋⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⢀⣀⣄⣀⢀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢰⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠺⡎⣷⣷⣦⣳⡄⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⠟⠀⠀⢠⡖⣶⣶⣿⣿⣿⣿⣿⣷⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⡀⠀⣾⣿⣿⠿⠛⠁⠀⠀⠀⢾⠃⠹⠿⠛⠛⠛⠻⣿⣿⣆⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⣿⣿⢿⣿⣯⢻⣿⣿⠟⢿⣿⣿⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣠⣤⠀⠀⠀⢠⡉⣿⣿⣿⠀⣸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⣿⣿⣼⣿⣿⣘⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠚⠣⠟⠛⠛⠛⠛⠚⠉⠙⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⣿⣿⣠⣿⣿⡇⠿⣿⡟⠛⠛⠋⠀⠙⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠉⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠿⣷⣧⣦⣥⣤⣤⣬⣴⣆⣒⣠⣤⣄⣀⣀⣀⣄⣀⣤⣤⣤⣦⣤⣤⣤⣤⣤⣤⣄⣀⣀⣀⣀⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⡀⠀⠀⣀⡀⠀⠀⠀⢂⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠈⡀⢀⠀⠀⣀⣀⣀⣀⣀⢈⠀⡀⠀⠉⠉⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠘⠛⠻⠿⠛⠿⠓⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠾⠿⠏⠓⠋⠼⠗⠻⠿⠃⠀⠉⠁⠀⡀⠉⠁⣷⠀⠈⡁⠀⠀⠀⣀⠀⠒⠈⠉⠉⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡟⣿⣿⢻⡟⣻⡟⢿⣿⣿⣟⣿⢹⢿⣿⡟⢻⣿⣿⡿⣿⢿⡿⢿⡿⡏⡿⢻⢿⡿⣏⣿⣹⢿⡟⡟⢻⠻⡿⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⢻⡇⣿⢺⣇⣏⣧⢸⣿⣿⣿⡟⣾⢸⣿⡇⢸⡿⣿⣧⣿⢸⡗⢸⡇⡅⣗⢺⢸⡷⡏⣿⣿⢰⡆⡗⢺⠀⣷⢈⢳⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣾⣿⣷⣿⣼⣿⣿⣿⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣧⣿⣾⣿⣧⣿⣿⣾⣿⣷⣷⣾⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣷⣿⢹⣿⣏⡧⣿⠋⣿⣾⡻⢸⠏⣿⣿⢻⣿⢹⣟⡏⣿⢻⣼⡏⣿⢹⣟⣿⣿⡏⣿⢹⡇⡏⢿⡏⡟⠋⡏⣷⣾⢻⣿⣿⣿⢡⡟⣿⢹⢹⡏⣿⡏⣿⣿⠹⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣅⣿⣸⢾⣏⡷⣿⣀⣿⣬⣹⢼⡏⣿⣿⣿⢼⣸⣏⡷⣿⣸⢿⣇⣿⢸⣿⣿⣿⡇⣿⢹⡇⣏⣹⣇⣏⣁⣏⣅⣿⣸⣿⣿⣿⠸⣇⣿⣸⣸⣇⡧⣷⢸⣧⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣾⣿⣷⣶⣾⣿⣿⣿⣿⣿⣶⣶⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣷⣿⣿⣿⣿⣶⣿⣿⣿⣿⣷⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠛⠛⠉⠉⠉⠉⠉⠙⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⣀⣠⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢰⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠺⡏⣿⣷⣧⣿⡆⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⡿⠋⠀⠀⢀⡖⢶⣾⣿⣿⣿⣿⣿⣷⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⢀⣾⣿⣿⠟⠋⠁⠀⠀⠀⢺⠃⠸⠿⠛⠛⠙⠛⢿⣿⣧⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⣿⣿⢿⣿⣯⢻⣿⣿⠟⢿⣿⣿⢘⣿⣿⣿⠀⡀⠀⠀⠀⠀⠀⣠⣤⠀⠀⠀⠠⣍⣿⣿⣿⣀⣼⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⣿⣿⣼⣿⣿⣘⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠒⠻⠟⠛⠛⠛⠛⠚⠉⠙⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⣿⣿⣠⣿⣿⡇⠿⣿⡟⠛⠛⠋⠀⠛⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠉⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠿⣷⣧⣦⣥⣤⣤⣬⣴⣢⣒⣠⣤⣄⣄⣀⣀⣄⣀⣤⣤⣤⣶⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢁⡀⠀⠀⣀⡀⠀⠀⠀⢂⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣁⢁⣀⡀⣀⣀⣀⣀⣀⢈⠉⡁⠈⠉⠉⠀⠀⠈⠀⡀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠘⠛⠻⠿⠛⠿⠓⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡐⠀⠿⠿⠛⠳⠯⠼⠟⠻⠿⠃⠘⠋⠁⠀⡐⠉⠑⣷⠀⢉⠉⠀⠀⠀⣀⠀⠒⠈⠉⠉⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡟⣿⣿⢻⡟⣻⡟⢿⣿⣿⣟⣿⢹⢿⣿⡟⢿⣿⣿⡿⣿⢿⡿⢿⡿⡏⡿⢻⢿⡿⣏⣿⣹⢿⡟⡟⢻⠻⡿⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⢻⡇⣿⢺⣇⣏⣧⢸⣿⣿⣿⡟⣾⢸⣿⡇⢸⡿⣿⣗⣿⢸⡗⢸⡇⡅⡗⢺⢸⡷⡏⣿⣿⢰⡆⡗⢺⠀⣷⢈⢳⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣾⣿⣷⣿⣾⣿⣿⣿⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣧⣿⣾⣿⣧⣿⣿⣾⣿⣷⣷⣾⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣷⣿⢹⣿⣏⡧⣿⠋⣿⣾⡻⢸⡏⣿⣿⢿⣿⢹⣟⡏⣿⢻⣼⡏⣿⢹⣟⣿⣿⡏⣿⢹⡇⡏⢿⡟⡟⠋⡏⣷⣾⢻⣿⣿⣿⢡⡟⣿⢹⢹⡏⣿⡏⣿⣽⠹⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣅⣿⣸⢿⣏⡷⣿⣀⣿⣬⣹⢼⡍⣿⣿⣿⢼⣸⣏⡷⣿⣸⢿⣇⣿⢸⣿⣿⣿⡇⣿⢹⡇⣏⣿⡇⣏⣁⣏⣅⣿⣸⣿⣿⣿⠸⣇⣿⣸⣸⣇⡧⣷⢸⣧⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣷⣷⣿⣷⣶⣾⣿⣿⣿⣿⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣷⣿⣿⣿⣿⣾⣿⣿⣿⣿⣷⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠛⠉⠉⠉⠉⠉⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⣠⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⡀⡀⠀⡀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢰⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠸⠧⢿⣿⣷⣽⣆⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⡟⠀⠀⠀⢀⡞⢿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⢀⣾⣿⣿⠟⠉⠀⠀⠀⠀⠺⠃⠘⠛⠛⠋⠉⠛⢿⣿⣧⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⣿⣿⢿⣿⣯⢻⣿⣿⠟⢿⣿⣿⡀⣿⣿⣿⠀⡀⠀⠀⠀⠀⠀⣠⣶⠀⠀⠀⠠⣜⢻⣿⣿⣂⣼⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⣿⣿⣼⣿⣿⣘⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠒⠫⠝⠛⠛⠛⠛⠚⠉⠙⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⣿⣿⣠⣿⣿⡇⠿⣿⡟⠛⠛⠋⠀⠛⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠉⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠿⣷⣧⣦⣥⣤⣤⣬⣴⣢⣒⣤⣤⣄⣀⣀⣀⣄⣄⣤⣤⣤⣶⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢁⡀⠀⠀⣀⡀⠀⠀⠀⢂⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⣀⠈⡉⢁⡀⠀⣀⣀⣀⣀⣀⢈⠈⡁⠀⠉⡁⠀⠈⠀⠀⡀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠘⠛⠻⠿⠛⠿⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠒⠾⠿⠋⠳⠯⠼⠟⠻⠿⠓⠘⠋⠁⠀⡀⠉⠑⣷⠁⠉⡉⠀⠀⠀⣀⠈⠒⠈⠉⠉⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡟⣿⣿⢻⡟⣻⡟⢿⣿⣿⣟⣿⢹⢿⣿⡟⢻⣿⣿⡿⣿⢿⡿⢿⡿⡏⡿⢻⢿⡿⣏⣿⣹⢿⡟⡟⢻⠻⡿⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⢻⡇⣿⢺⣇⣏⣧⢸⣿⣿⣿⡟⣾⢸⣿⡇⢸⡿⣿⣗⣿⢸⡗⢸⡇⡅⡗⢺⢸⡷⡏⣿⣿⢰⡆⡗⢺⠀⣷⢈⢳⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣾⣿⣷⣿⣼⣿⣿⣿⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣧⣿⣾⣿⣧⣿⣿⣼⣿⣷⣷⣾⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣷⣿⢹⣿⣏⡧⣿⠉⣿⣾⡻⢸⠏⣿⣿⢿⣿⢹⣟⡏⣿⢻⣼⡏⣿⢹⣟⣿⣿⡏⣿⢹⡇⡏⢿⡏⡟⠋⡏⣷⣾⢻⣿⣿⣿⢡⡟⣿⢹⢹⡏⣿⡏⣿⣽⠹⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣅⣿⣸⢿⣏⡷⣿⣀⣿⣬⣹⢼⡏⣿⣿⣿⢼⣸⣏⡷⣿⣸⢿⣇⣿⢸⣿⣿⣿⡇⣿⢹⡇⣏⣿⣇⣏⣁⣏⣅⣿⣸⣿⣿⣿⠸⣇⣿⣸⣸⣇⡧⣷⢸⣧⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣿⣷⣶⣾⣿⣿⣿⣿⣿⣶⣶⣾⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣷⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠉⠉⠉⠀⠀⠀⠀⠈⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⣠⣤⣦⣤⣠⠀⠀⠀⠀⠀⠀⡀⡀⣀⠀⣀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢰⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠘⠷⢻⣿⣶⣽⣇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢀⣿⣿⣿⣿⠏⠀⠀⠀⠀⡞⢻⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⣾⣿⣿⠛⠁⠀⠀⠀⠀⠸⠃⠘⠛⠛⠉⠉⢙⣻⣿⣷⡀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⣿⣿⢿⣿⣯⢻⣿⣿⠟⢿⣿⣿⡄⣿⣿⣿⠀⡀⠀⠀⠀⠀⠀⣰⣶⠀⠀⠀⠠⣔⣹⣿⣿⣧⣼⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⣿⣿⣼⣿⣿⣘⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠚⠻⠟⠛⠛⠛⠛⠒⠉⠙⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⣿⣿⣠⣿⣿⡇⠿⣿⡟⠛⠛⠋⠀⠛⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠉⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠿⣷⣧⣦⣥⣤⣤⣬⣴⣤⣒⣀⣤⣤⣄⣀⣀⣄⣀⣤⣤⣤⣶⣤⣤⣤⣤⣤⣤⣄⣀⣀⣀⣀⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⡀⠁⠀⣀⡀⠀⠀⠀⢂⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⣀⠈⡁⢀⣀⠀⣀⣀⣀⣀⣀⣈⠉⡁⠀⠉⠁⠀⠀⠁⢀⡀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠸⠛⠻⠿⠛⠿⠓⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠰⠾⠿⠛⠳⠏⠼⠟⠻⠿⠓⠈⠋⠁⠀⡀⠉⠑⣧⠀⡈⡁⠀⠀⠀⣀⠀⠒⠈⠉⠉⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡟⣿⣿⢻⡟⣻⡟⢿⣿⣿⣟⣿⢹⢿⣿⡟⢻⣿⣿⡿⣿⢿⡿⢿⡿⡏⡿⢻⢿⡿⣏⣿⣹⢿⡟⡟⢻⠻⡿⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⢻⡇⣿⢺⣇⣏⣧⢸⣿⣿⣿⡟⣾⢸⣿⡇⢸⡟⣿⡷⣿⢸⡗⢸⡇⡅⡗⢺⢸⡷⡏⣿⣿⢰⡆⡗⢺⠀⣷⢈⢳⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣾⣿⣷⣿⣾⣿⣿⣿⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣯⣿⣧⣿⣾⣿⣧⣿⣿⣾⣿⣷⣷⣾⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣷⣿⢹⣿⣏⡧⣿⠋⣿⣾⡻⢸⠏⣿⣿⢿⣿⢹⣟⡏⣿⢻⣼⡏⣿⢹⣟⣿⣿⡏⣿⢹⡇⡏⢿⡏⡏⠋⡏⣷⣾⢻⣿⣿⣿⢡⡟⣿⢹⢹⡏⣿⡏⣿⣽⠹⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣅⣿⣸⢼⣏⡷⣿⣀⣿⣬⣹⢼⡏⣿⣿⣿⢼⣸⣏⡷⣿⣸⢿⣇⣿⢸⣿⣿⣿⡇⣿⢹⡇⣏⣿⣇⣏⣁⣏⣅⣿⣸⣿⣿⣿⠸⣇⣿⣸⣸⣇⡧⣷⢸⣧⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣿⣷⣶⣾⣿⣿⣿⣿⣿⣶⣶⣿⣷⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣷⣿⣿⣿⣿⣶⣿⣿⣿⣿⣷⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣴⣶⣿⣷⣤⡄⠀⠀⠀⠀⢀⡄⣤⣦⠀⢦⡀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣸⣿⣿⣿⡿⠋⠀⠀⠀⢀⣀⣈⣛⣹⣿⣿⣿⣧⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢠⣿⣿⣿⡟⠁⠀⠀⠀⢀⡟⢹⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⣿⣿⡿⠁⠀⠀⠀⠀⠀⠘⠁⠈⠉⠉⠀⠀⠨⣽⣿⣿⡄⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⢿⣿⣇⢻⣿⣿⠟⢿⣿⣿⣦⣿⣿⡷⢀⠀⠀⠀⠀⠀⢀⣼⣿⡄⠀⠀⠐⣮⣽⣿⣿⣷⣾⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⣿⣿⣼⣿⣿⣘⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠂⠻⠝⠛⠛⠓⠛⠚⠉⠉⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⣿⣿⣠⣿⣿⡇⠿⣿⡟⠛⠛⠋⠀⠛⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠉⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠿⣿⣧⣦⣥⣤⣤⣬⣴⣦⣒⣠⣤⣤⣄⣀⣀⣄⣀⣤⣤⣤⣶⣤⣤⣤⣤⣤⣤⣄⣀⣀⣀⣀⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⡀⠀⠀⣀⡀⠀⠀⠀⢒⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⣀⠈⡉⢀⡀⠀⣀⣀⣀⣀⣀⢈⠁⡁⠀⠉⠁⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠘⠛⠻⠿⠛⠿⠓⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠐⠀⠿⢿⠛⠳⠯⠼⠗⠻⠿⠃⠈⠋⠁⠀⡀⠉⠁⣷⠀⢈⡁⠀⠀⠀⣀⡀⠒⠀⠉⠉⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡟⣿⣿⢻⡟⣻⡟⢿⣿⣿⣟⣿⢹⢿⣿⡟⢿⣿⣿⡿⣿⢿⡿⢿⡿⡏⡿⢻⢿⡿⣏⣿⣹⢿⡟⡟⢻⠻⡿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⢻⡇⣿⢺⣇⣏⣧⢸⣿⣿⣿⡟⣾⢸⣿⡇⢸⡿⣿⣿⣿⢸⡗⢺⡇⡅⣗⢺⢸⡷⡏⣿⣿⢰⡆⡗⢺⠀⣷⢈⢳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣾⣿⣷⣿⣼⣿⣿⣿⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣧⣿⣾⣿⣧⣿⣿⣾⣿⣷⣷⣾⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣷⣿⢹⣿⣏⡧⣿⠋⣿⣾⡻⢸⠏⣿⣿⢿⣿⢹⣟⡯⣿⢻⣼⡏⣿⢹⣿⣿⣿⡏⣿⢹⡇⡏⣿⡟⡏⠋⡏⣷⣾⢻⣿⣿⣿⢡⡟⣿⢻⢹⡏⣿⡏⣿⣿⠹⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣅⣿⣸⢿⣏⡷⣿⣀⣿⣬⣹⢼⡏⣿⣿⣿⢼⣸⣏⡷⣿⣸⢿⣇⣿⢸⣿⣿⣿⡇⣿⢹⡇⣏⣿⣇⣏⣁⣏⣥⣿⣸⣿⣿⣿⠸⣇⣿⣸⣸⣇⡧⣷⢸⣧⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣶⣶⣷⣷⣿⣷⣶⣾⣿⣿⣿⣿⣿⣶⣶⣾⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣷⣷⣿⣿⣿⣾⣿⣿⣿⣿⣷⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠟⠛⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢀⣾⣿⣿⣷⣶⠆⠀⠀⠀⠀⢠⡄⣦⣦⢀⢶⡀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣼⣿⣿⣿⡟⠁⠀⠀⠀⣠⣀⣨⣿⣽⣿⣿⣿⣷⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⣰⣿⣿⣿⡿⠀⠀⠀⠀⣠⡇⢸⣿⣿⡿⠿⣿⣿⣿⣇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⠀⣿⣿⡟⠁⠀⠀⠀⠀⠀⠘⠀⠈⠁⠀⠀⠀⢠⣽⣿⣿⡆⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⢿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⣿⣿⢿⣿⣇⢿⣿⣿⠛⢿⣿⣿⣦⣿⣿⣇⣀⠂⠀⠀⠀⠀⢠⣾⣿⣄⠀⠀⠈⣷⣽⣿⣿⣿⣿⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⣿⣿⣼⣿⣿⣘⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠚⠫⠟⠛⠛⠓⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⣿⣿⣰⣿⣿⡇⠿⣿⡟⠛⠛⠋⠀⠛⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠉⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠿⣷⣧⣦⣥⣤⣤⣬⣴⣶⣒⣠⣤⣤⣀⣀⣀⣄⣀⣠⣤⣤⣶⣤⣤⣤⣤⣤⣤⣄⣀⣀⣀⣀⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢁⡀⠀⠀⣀⡀⠀⠀⠐⢠⠦⠤⠀⠀⠀⠀⠀⠀⠀⠀⣀⠈⡅⢁⣀⡀⣀⣀⣀⣀⣀⣈⠉⠁⠀⢉⡁⠀⠈⠁⢠⣀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠘⠛⡻⠿⠛⠿⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⡐⠲⠾⠿⠛⢳⡏⢼⠟⠻⡿⠓⠊⠉⠁⠀⡀⠉⠑⣿⠉⣉⡉⠀⠀⢀⣀⠈⠒⠈⠉⠉⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡟⣿⣿⢻⡟⣻⡟⢿⣿⣿⣟⣿⢹⢿⣿⡟⢿⣿⣿⡿⣿⢿⡿⢿⡿⡏⡿⢻⢿⡿⣟⣿⣹⢿⡟⡟⢻⠻⡿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⢻⡇⣿⢺⣇⣏⣧⢸⣿⣿⣿⡟⣾⢸⣿⡇⢸⡿⣿⣷⣿⢸⡗⢸⡇⡅⣗⢺⢸⡷⡏⣿⣿⢰⡆⡗⢺⠀⣿⢈⢳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣾⣿⣷⣿⣼⣿⣿⣿⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣧⣿⣾⣿⣷⣿⣿⣾⣿⣧⣷⣾⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣷⣿⢹⣿⣏⡧⣿⠉⣿⣾⡻⢸⠏⣿⣿⢿⣿⢹⣟⡏⣿⢻⣼⡏⣿⢹⣿⣿⣿⡏⣿⢹⡇⡏⣿⡟⡟⠋⡏⣷⣾⢻⣿⣿⣿⢡⡟⣿⢻⢹⡏⣿⡏⣿⣽⠹⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣥⣿⣸⢿⣏⡷⣿⣀⣿⣬⣻⢼⡏⣿⣿⣿⢼⣸⣏⡷⣿⣸⢿⣇⣿⢸⣿⣿⣿⡇⣿⢹⡇⣏⣿⣇⣏⣁⣏⣅⣿⣸⣿⣿⣿⠸⣇⣿⣸⣸⣇⡧⣷⢸⣧⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣶⣶⣾⣷⣿⣷⣶⣾⣿⣿⣿⣿⣿⣶⣶⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣷⣿⣿⣿⣿⣾⣿⣿⣿⣿⣷⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠟⠛⠛⠛⠛⠛⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢀⣿⣿⣿⣿⡿⠆⠀⠀⠀⠀⢠⣆⣶⣷⣠⣳⡄⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣼⣿⣿⣿⠏⠀⠀⠀⠀⡠⢤⣤⣽⣼⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⣰⣿⣿⡿⠯⠀⠀⠀⠀⢰⡗⢸⣿⣿⠿⠿⢿⣿⣿⣇⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠠⣿⣿⡏⠀⠀⠀⠀⠀⠀⠈⢀⣀⠀⠀⠀⠀⢒⣾⣿⣿⡇⣰⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⢿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⢿⣿⣇⢿⣿⣿⠛⢿⣿⣿⢷⣿⣿⣇⣠⠂⠀⠀⠀⠀⣠⣾⣿⣄⠀⠀⠀⣿⣾⣿⣿⡿⣿⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⣿⣿⣼⣿⣿⣘⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠛⠫⠟⠛⠛⠛⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⣿⣿⣰⣿⣿⡇⠿⣿⡟⠛⠛⠋⠀⠛⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠉⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠿⣷⣧⣦⣥⣤⣤⣼⣴⣦⣒⣤⣤⣤⣄⣀⣀⣄⣀⣤⣤⣤⣦⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢁⡀⠀⠀⣀⡀⠀⠀⠐⢀⠦⠤⠄⠀⠀⠀⠀⠀⠀⠀⣀⠈⣍⢁⣀⡀⣀⣀⣀⣀⣀⣈⠉⠀⠀⢈⡉⠀⠀⠉⢠⣀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠘⠻⠻⠿⠛⠿⠛⠛⡛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠲⠿⠿⠛⠳⡏⢼⡟⠻⡿⠓⠚⠉⠁⠀⡀⠉⠑⣿⠉⣉⡉⠀⠀⢀⣀⠊⠒⠈⠉⠉⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡟⣿⣿⢻⡟⣻⡟⢿⣿⣿⣟⣿⢹⢿⣿⡟⢻⣿⣿⡿⣿⢿⡿⢿⡿⡏⡿⢻⢿⡿⣏⣿⣹⢿⡟⡟⢻⠻⡿⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⢻⡇⣿⢺⣇⣏⣧⢸⣿⣿⣿⡟⣾⢸⣿⡇⢸⡿⣿⣧⣿⢸⡗⢺⡇⡅⡗⢺⢸⡷⡏⣿⣿⢰⡆⡗⢺⠀⣿⢈⢳⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣾⣿⣷⣿⣼⣿⣿⣿⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣧⣿⣾⣿⣧⣿⣿⣼⣿⣧⣷⣾⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣷⣿⢹⢿⣏⡧⣿⠋⣿⣾⡻⢸⠏⣿⣿⢻⣿⢸⣟⡧⣿⢻⣼⡏⣿⢹⣟⣿⣿⡏⣿⢹⡇⡏⣿⡏⡏⠋⡏⣷⣾⢻⣿⣿⣿⢡⡟⣿⢹⢹⡏⣿⡏⣿⣽⠹⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣅⣿⣸⢼⣏⡷⣿⣀⣿⣬⣹⢼⡏⣿⣿⣿⢼⣸⣏⡷⣿⣸⢿⣇⣿⢸⣿⣿⣿⡇⣿⢹⡇⣏⣿⣇⣏⣁⣏⣅⣿⣸⣿⣿⣿⠸⣇⣿⣸⣸⣇⡧⣷⢸⣧⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣿⣷⣶⣾⣿⣿⣿⣿⣿⣶⣶⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣷⣿⣿⣿⣿⣾⣿⣿⣿⣿⣷⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠛⠛⠉⠉⠉⠉⠙⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⢰⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⢰⣆⣷⣷⣤⣻⡄⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣾⣿⣿⣿⠋⠀⠀⠀⠀⡴⢤⣴⣾⣾⣿⣿⣿⣿⡀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣴⣿⣿⡿⠃⠀⠀⠀⠀⢰⠇⠸⠿⠿⠿⠛⠿⣿⣿⣧⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣆⠀⣿⣿⡏⠀⠀⠀⠀⠀⠀⠈⢀⣠⠀⠀⠀⢀⡰⣾⣿⣿⣇⣰⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⠿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⣿⣿⢿⣿⣇⢿⣿⣿⠛⢿⣿⣿⢷⣿⣿⣇⣠⠁⠀⠀⠀⠀⣠⣾⣿⣦⡀⠀⢀⣿⣾⣿⣿⡟⢿⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⣿⣿⣼⣿⣿⣘⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠛⠫⠝⠛⠛⠓⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⣿⣿⣠⣿⣿⡇⠿⣿⡟⠛⠛⠋⠀⠛⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠈⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠿⡷⣧⣦⣥⣤⣤⣬⣴⣶⣒⣠⣤⣤⣀⣀⣀⣄⣀⣤⣤⣤⣦⣤⣤⣤⣤⣤⣤⣄⣀⣀⣀⣀⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⡀⠀⠀⣀⡀⠀⠀⠐⢀⠦⠠⠀⠀⠀⠀⠀⠀⠀⠀⣀⠈⡁⢀⡀⠀⣀⣀⣀⣀⣀⣀⠀⠀⠀⢉⡁⠀⠈⠀⠠⡀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠘⠛⠻⠿⠛⠿⠓⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠻⠿⠝⠳⡏⢼⡟⠻⠿⠓⠈⠉⠁⠀⡀⠉⠁⣿⠁⣉⡉⠀⠀⠀⣀⠀⠒⠈⠉⠉⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡟⣿⣿⢻⡟⣻⡟⢿⣿⣿⣟⣿⢹⢿⣿⡟⢻⣿⣿⡿⣿⢿⡿⢿⡿⡏⡿⢻⢿⡿⣏⣿⣹⢿⡟⡟⢻⠻⡿⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⢻⡇⣿⢺⣇⣏⣧⢸⣿⣿⣿⡟⣾⢸⣿⡇⢸⡿⣿⣷⣿⢸⡗⢸⡇⡅⡗⢺⢸⡷⡏⣿⣿⢰⡆⡗⢺⠀⣿⢈⢳⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣾⣿⣧⣿⣼⣿⣿⣿⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣧⣿⣾⣿⣧⣿⣿⣾⣿⣷⣷⣾⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣷⣿⢹⣿⣏⡧⣿⠋⣿⣾⡻⢸⠏⣿⣿⢻⣿⢸⣟⡇⣿⢻⣼⡏⣿⢹⣟⣿⣿⡏⣿⢹⡇⡏⣻⡏⡏⠋⡏⣷⣾⢻⣿⣿⣿⢡⡟⣿⢹⢹⡏⣿⡏⣿⣿⠹⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣅⣿⣸⢾⣏⡷⣿⣀⣿⣬⣹⢼⡏⣿⣿⣿⢼⣸⣏⡷⣿⣸⢿⣇⣿⢸⣿⣿⣿⡇⣿⢹⡇⣏⣿⣇⣏⣁⣏⣅⣿⣸⣿⣿⣿⠸⣇⣿⣸⣸⣇⡧⣷⢸⣧⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣿⣷⣶⣾⣿⣿⣿⣿⣿⣶⣶⣿⣷⣾⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣷⣿⣿⣿⣿⣾⣿⣿⣿⣿⣷⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⠉⠉⠉⠁⠀⠀⠀⠉⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⣠⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢰⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠸⣧⢿⣿⣷⣽⣆⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⠁⠀⠀⠀⠀⡖⢲⣶⣿⣿⣿⣿⣿⣿⡄⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣾⣿⣿⠟⠃⠀⠀⠀⠀⢸⠃⠘⠿⠛⠛⠛⠛⢿⣿⣷⡀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣦⡐⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢠⣤⠀⠀⠀⠠⣍⢿⣿⣿⣧⣼⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⠿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⣿⣿⢿⣿⣇⢿⣿⣿⠛⢿⣿⣿⢻⣿⣿⣧⢲⡀⠀⠀⠀⢀⣴⣿⣿⣷⣄⢀⣀⣿⣿⣿⣿⡏⢻⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⣿⣿⣼⣿⣿⣘⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠛⠫⠝⠛⠛⠓⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⣿⣿⣠⣿⣿⡇⠿⣿⡟⠛⠛⠋⠀⠛⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠈⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠿⣷⣧⣦⣥⣤⣤⣬⣴⣤⣒⣠⣤⣤⣀⣀⣀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⣀⣀⣀⣀⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⡀⠀⠀⣀⡀⠀⠀⠐⢢⠦⠤⠀⠀⠀⠀⠀⠀⠀⠀⣀⠈⠁⠀⡀⠀⣀⣀⣀⣀⣀⢈⠀⠀⠀⢉⡁⠀⠀⠈⠠⡀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠘⠛⠻⠿⠛⠿⠓⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠶⠿⠿⠛⠳⣏⢼⡟⠻⠿⠓⠊⠉⠁⠀⡀⠉⠁⣿⠁⢉⡉⠀⠀⠀⣀⠀⠒⠈⠉⠉⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡟⣿⣿⢻⡟⣻⡟⢿⣿⣿⣟⣿⢹⢿⣿⡟⢿⣿⣿⡿⣿⢿⡿⢿⡿⡏⡿⢻⢿⡿⣏⣿⣹⢿⡟⡟⢻⠻⡿⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⢻⡇⣿⢺⣇⣏⣧⢸⣿⣿⣿⡟⣾⢸⣿⡇⢸⡿⣿⣷⣿⢸⡗⢸⡇⡅⡗⢺⢸⡷⡏⣿⣿⢰⡆⡗⢺⠀⣷⢈⢳⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣾⣿⣧⣿⣼⣿⣿⣿⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣧⣿⣾⣿⣧⣿⣿⣾⣿⣷⣷⣾⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣷⣿⢹⢿⣏⡧⣿⠋⣿⣾⡻⢸⠏⣿⣿⢻⣿⢹⣟⡇⣿⢻⣼⡏⣿⢹⣟⣿⣿⡏⣿⢹⡇⡏⣿⡏⡏⠉⡏⣷⣾⢻⣿⣿⣿⢡⡟⣿⢹⢹⡏⣿⡏⣿⣽⠹⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣅⣿⣸⢾⣏⡷⣿⣀⣿⣬⣹⢼⡏⣿⣿⣿⢼⣸⣏⡷⣿⣸⢿⣇⣿⢸⣿⣿⣿⡇⣿⢹⡇⣏⣿⣇⣏⣁⣏⣥⣿⣸⣿⣿⣿⠸⣇⣿⣸⣸⣇⡧⣷⢸⣧⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⣶⣶⣶⣶⣿⣷⣶⣾⣿⣿⣿⣿⣿⣶⣶⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣷⣿⣿⣿⣿⣾⣿⣿⣿⣿⣷⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠉⠉⠁⠀⠀⠀⠀⠀⠈⠙⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⣠⣤⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⡀⡀⠀⣀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⡿⠛⠀⠀⠀⠀⠀⠸⢧⢿⣿⣷⣽⣇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢀⣿⣿⣿⡿⠁⠀⠀⠀⠀⡖⢺⣾⣿⣿⣿⣿⣿⣿⡄⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣾⣿⣿⠛⠁⠀⠀⠀⠀⢸⠃⠘⠛⠛⠋⠉⢛⢻⣿⣷⡀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣦⡐⣿⣿⡇⠀⡀⠀⠀⠀⠀⠀⣠⣶⠀⠀⠀⠠⣜⣻⣿⣿⣧⣼⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⠿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⢿⣿⣇⢿⣿⣿⠛⢿⣿⣿⢻⣿⣿⣧⣲⡀⠀⠀⠀⢀⣼⣿⣿⣷⣄⢀⣠⣿⣿⣿⣿⡏⢻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⣿⣿⣼⣿⣿⣘⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠫⠝⠛⠛⠓⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⣿⣿⣠⣿⣿⡇⠿⣿⡟⠛⠛⠋⠀⠛⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠉⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠿⢷⣧⣦⣥⣤⣤⣬⣴⣦⣒⣠⣤⣤⣄⣀⣀⣄⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⣀⣀⣀⣀⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⡀⠀⠀⣀⡀⠀⠀⠐⢢⠦⠤⠀⠀⠀⠀⠀⠀⠀⠀⣀⠈⡀⢁⡀⠀⣀⣀⣀⣀⣀⢀⠈⠀⠈⢈⡀⠀⠀⠈⢠⡀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠘⠛⠻⠿⠛⠿⠓⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠿⠿⠝⠳⡏⠼⠟⠻⠿⠓⠈⠉⠁⠀⡀⠉⠁⣿⠉⢉⡉⠀⠀⠀⣀⠀⠐⠀⠉⠉⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡟⣿⣿⢻⡟⣿⡟⢿⣿⣿⣟⣿⢹⢿⣿⡟⢿⣿⣿⡿⣿⢿⡿⢿⡿⡏⡿⢻⢿⡿⣟⣿⣹⢿⡟⡟⢻⠻⡿⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⢻⡇⣿⢺⣇⣏⣧⢸⣿⣿⣿⡟⣾⢸⣿⡇⢸⡟⣿⣷⣿⢸⡗⢺⡇⡅⣗⢺⢸⡷⡏⣿⣿⢰⡆⡗⢺⠀⣿⢈⢳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣾⣿⣷⣿⣼⣿⣿⣿⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣧⣿⣾⣿⣧⣿⣿⣾⣿⣷⣷⣾⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣷⣿⢹⣿⣏⡧⣿⠋⣿⣾⡻⢸⠏⣿⣿⢻⣿⢹⣟⡇⣿⢻⣼⡏⣿⢹⣟⣿⣿⡏⣿⢹⡇⡏⣿⡏⡏⠉⡏⣷⣾⢻⣿⣿⣿⢡⡟⣿⢹⢹⡏⣿⡏⣿⣿⠹⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣅⣿⣸⢿⣏⡷⣿⣀⣿⣬⣹⢼⡍⣿⣿⣿⢼⣸⣏⡷⣿⣸⢿⣇⣿⢸⣿⣿⣿⡇⣿⢹⡇⣏⣿⣇⣏⣁⣏⣅⣿⣸⣿⣿⣿⠸⣇⣿⣸⣸⣇⡧⣷⢸⣧⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣷⣿⣷⣶⣾⣿⣿⣿⣿⣿⣶⣶⣿⣷⣾⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣷⣿⣿⣿⣿⣾⣿⣿⣿⣿⣷⣶⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⣤⣴⣶⣦⣀⡀⠀⠀⠀⠀⢀⠀⣀⣄⡀⣄⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣸⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠘⠷⢿⣿⣷⣾⣧⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢀⣿⣿⣿⡿⠁⠀⠀⠀⢀⡏⢹⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⡿⠛⠁⠀⠀⠀⠀⠺⠁⠘⠛⠋⠉⠉⣙⣻⣿⣷⡄⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣶⣜⣿⣿⡇⠀⡀⠀⠀⠀⠀⠀⣰⣶⠀⠀⠀⠐⣼⣹⣿⣿⣧⣾⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⠿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⣿⣿⢿⣿⣇⢿⣿⣿⠛⢿⣿⣿⢹⣿⣿⣧⣸⡄⠀⠀⠀⢠⣾⣿⣿⣷⣄⣀⣤⣿⣿⣿⣿⡏⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⣿⣿⣼⣿⣿⣘⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠉⠛⠫⠟⠛⠛⠓⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⣿⣿⣠⣿⣿⡇⠿⣿⡟⠛⠛⠋⠀⠛⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠉⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠿⣷⣧⣦⣥⣤⣤⣬⣴⣶⣒⣤⣤⣤⣄⣀⣀⣄⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⡀⠀⠀⣀⡀⠀⠀⠐⢒⠦⠤⠄⠀⠀⠀⠀⠀⠀⠀⣀⠈⡁⢁⢀⠀⣀⣀⣀⣀⣀⣈⠉⡀⠀⢈⡀⠀⠈⠉⢠⡀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠘⢛⡻⠿⠛⠿⠓⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠐⠖⠾⢿⠝⠳⣏⢼⡟⠻⡿⠓⠘⠉⠁⠀⡀⠉⠑⣿⠉⣉⡉⠀⠀⠀⣀⡀⠒⠈⠉⠉⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡟⣿⣿⢻⡟⣿⡟⢿⣿⣿⣟⣿⢹⢿⣿⡟⢿⣿⣿⡿⣿⢿⡿⢿⡿⡏⡿⢻⢿⡿⣟⣿⣹⢿⡟⡟⢻⠻⡿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⢻⡇⣿⢺⣇⣏⣧⢸⣿⣿⣿⡟⣾⢸⣿⡇⢸⡿⣿⣷⣿⢸⡗⢸⡇⡅⡗⢺⢸⡷⡏⣿⣿⢰⡆⡗⢺⠀⣷⢈⢳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣾⣿⣷⣿⣼⣿⣿⣿⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣧⣿⣾⣿⣷⣿⣿⣾⣿⣷⣷⣾⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣷⣿⢹⣿⣏⡧⣿⠋⣿⣾⡻⢸⠏⣿⣿⢿⣿⢹⣟⡏⣿⢻⣼⡏⣿⢹⣟⣿⣿⡏⣿⢹⡇⡏⣿⡏⡟⠋⡏⣿⣾⢻⣿⣿⣿⢡⡟⣿⢹⢹⡏⣿⡏⣿⣿⠹⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣅⣿⣸⢿⣏⡷⣿⣀⣿⣬⣹⢼⡍⣿⣿⣿⢼⣸⣏⡷⣿⣸⢿⣇⣿⢸⣿⣿⣿⡇⣿⢹⡇⣏⣿⣇⣏⣁⣏⣅⣿⣸⣿⣿⣿⠸⣇⣿⣸⣸⣇⡧⣷⢸⣧⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣶⣶⣶⣶⣿⣷⣷⣾⣿⣿⣿⣿⣿⣶⣶⣾⣿⣿⣿⣿⣿⠿⠿⠿⠿⢿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣷⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⢀⣴⣶⣶⣦⣤⡄⠀⠀⠀⠀⢀⡀⣀⣄⡀⣤⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣸⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⢘⣷⣻⣿⣾⣿⣧⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢀⣿⣿⣿⣿⠀⠀⠀⠀⢀⡏⢹⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⣿⣿⡿⠋⠁⠀⠀⠀⠀⠹⠁⠘⠋⠉⠉⠀⣉⣻⣿⣿⡄⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣹⣷⣌⣿⣿⡇⠀⠤⠀⠀⠀⠀⢀⣴⣶⡀⠀⠀⠐⣮⣻⣿⣿⣷⣾⢉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⠿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⣿⣿⢿⣿⣇⢿⣿⣿⠛⢿⣿⣿⢹⣿⣿⣷⣼⡄⠀⠀⠀⢠⣾⣿⣿⣿⣦⣠⣴⣿⣿⣿⣿⡇⣺⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⣿⣿⣼⣿⣿⣸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠈⠋⠫⠝⠛⠛⠛⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⣿⣿⣰⣿⣿⡇⠿⣿⡟⠛⠛⠋⠀⠛⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠈⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠿⣷⣧⣶⣵⣤⣤⣼⣶⣶⣒⣠⣤⣤⣄⣀⣀⣄⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⡀⠀⠀⣀⡂⠀⠀⠐⢐⠦⠤⠄⠀⠀⠀⠀⠀⠀⠀⣀⠈⣁⣁⣀⠀⣀⣀⣀⣀⣀⣈⠀⡀⠀⢉⡁⠀⠈⠀⢠⡀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⡘⠛⠻⠿⠛⠿⠓⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠐⠲⠾⠿⠟⠳⣯⢽⠟⠻⠿⠓⠊⠉⠁⠀⡀⠉⠑⣿⠉⣉⡉⠀⠀⠀⣀⠀⠒⠈⠈⠉⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡟⣿⣿⢻⡟⣻⡟⢿⣿⣿⣟⣿⢹⢿⣿⡟⢿⣿⣿⡿⣿⢿⡿⢿⡿⡏⡿⢻⢿⡿⣏⣿⣹⢿⡟⡟⢻⠻⡿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⢻⡇⣿⢺⣇⣏⣧⢸⣿⣿⣿⡟⣾⢸⣿⡇⢸⡿⣿⣷⣿⢸⡗⢸⡇⡅⣗⢺⢸⡷⡏⣿⣿⢰⡆⡗⢺⠀⣷⢈⢳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣾⣿⣷⣿⣾⣿⣿⣿⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣧⣿⣾⣿⣧⣿⣿⣾⣿⣷⣷⣾⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣷⣿⢹⣿⣏⡧⣿⠋⣿⣾⡻⢸⠏⣿⣿⢿⣿⢹⣟⡇⣿⢻⣼⡏⣿⢹⣟⣿⣿⡏⣿⢹⡇⡏⣻⡟⡟⠋⡏⣷⣾⢻⣿⣿⣿⢡⡟⣿⢹⢹⡏⣿⡏⣿⣿⠹⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣅⣿⣸⢿⣏⡷⣿⣀⣿⣬⣻⢼⡏⣿⣿⣿⢼⣸⣏⡷⣿⣸⢿⣇⣿⢸⣿⣿⣿⡇⣿⢹⡇⣏⣿⣇⣏⣁⣏⣅⣿⣸⣿⣿⣿⠸⣇⣿⣸⣸⣇⡧⣷⢸⣧⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣷⣿⣷⣶⣾⣿⣿⣿⣿⣿⣶⣶⣾⣿⣿⠿⠷⠿⠟⠛⠛⠛⠿⣿⣿⣷⣾⣿⣿⣷⣿⣿⣿⣿⣾⣿⣿⣿⣿⣷⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢀⣾⣿⣿⣷⣶⠄⠀⠀⠀⠀⢠⡄⣤⣦⢄⢦⡀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣼⣿⣿⣿⠟⠁⠀⠀⠀⣀⣀⣨⣿⣽⣿⣿⣿⣷⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣠⣿⣿⣿⡟⠀⠀⠀⠀⢠⡇⢸⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢐⣿⣿⡟⠁⠀⠀⠀⠀⠀⠘⠀⠈⠉⠀⠀⠀⣤⣽⣿⣿⡆⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣦⣿⣿⡇⣀⠀⠀⠀⠀⠀⢠⣾⣿⣄⠀⠀⠈⣷⣽⣿⣿⡿⣿⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⠿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⣿⣿⢿⣿⣇⢿⣿⣿⠙⢿⣿⣿⣸⣿⣿⣿⣾⡄⠀⠀⠀⢰⣿⣿⣿⣿⣷⣤⣾⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⣿⣿⣼⣿⣿⣸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠈⠛⠫⠝⠛⠛⠛⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⣿⣿⣰⣿⣿⡇⠿⣿⡟⠛⠛⠋⠀⠛⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠉⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠷⣷⣧⣦⣥⣤⣤⣬⣰⣤⣒⣠⣤⣤⣄⣀⣀⣄⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢁⡀⠀⠀⣀⡀⠀⠀⠐⢀⠦⠤⠀⠀⠀⠀⠀⠀⠀⠀⣀⠈⡁⢁⠀⠀⣀⣀⣀⣀⣀⣈⡉⡀⠀⢉⠉⠀⠈⠈⠠⣀⠀⠀⠀⠀⠀⠉⠉⠉⠉⡉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⡘⠛⠻⠿⠛⠿⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠠⠿⢿⠛⢳⢏⢼⠟⠻⡿⠓⠈⠉⠁⠀⡀⠉⠑⣷⠉⣉⡉⠀⠀⠀⣀⠈⠒⠂⠉⠉⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡟⣿⣿⢻⡟⣻⡟⢿⣿⣿⣟⣿⢹⢿⣿⡟⢿⣿⣿⡿⣿⢿⡿⢿⡿⡏⡿⢻⢿⡿⣟⣿⣹⢿⡟⡟⢻⠻⡿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⢻⡇⣿⢺⣇⣏⣧⢸⣿⣿⣿⡟⣾⢸⣿⡇⢸⡟⣿⣷⣿⢸⡗⢸⡇⡅⣗⢺⢸⡷⡏⣿⣿⢰⡆⡗⢺⠀⣷⢈⢳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣾⣿⣷⣿⣼⣿⣿⣿⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣧⣿⣾⣿⣧⣿⣿⣾⣿⣷⣷⣾⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣷⣿⢹⢿⣏⡧⣿⠋⣿⣾⡻⢸⠏⣿⣿⢿⣿⢹⣟⡇⣿⢻⣼⡏⣿⢹⣟⣿⣿⡏⣿⢹⡇⡏⣿⡏⡟⠋⡏⣷⣾⢻⣿⣿⣿⢡⡟⣿⢻⢹⡏⣿⡏⣿⣽⠹⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣅⣿⣸⢾⣏⡷⣿⣀⣿⣬⣻⢼⡏⣿⣿⣿⢼⣸⣏⡷⣿⣸⢿⣇⣿⢸⣿⣿⣿⡇⣿⢹⡇⣏⣿⣇⣏⣁⣏⣅⣿⣸⣿⣿⣿⠸⣇⣿⣸⣸⣇⡧⣷⢸⣧⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣷⣿⣷⣶⣾⣿⣿⣿⣿⣿⣶⣶⣿⡿⠾⠿⠗⠛⠛⠛⠛⠛⠻⢿⣿⣷⣾⣿⣿⣷⣿⣿⣿⣿⣾⣿⣿⣿⣿⣷⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢠⣾⣿⣿⣷⣶⠆⠀⠀⠀⠀⢠⡄⣦⣦⣄⢷⡄⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣼⣿⣿⣿⡏⠀⠀⠀⠀⣠⢤⣨⣭⣽⣿⣿⣿⣷⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣰⣿⣿⣿⠿⠀⠀⠀⠀⣰⡇⢸⣿⣿⡿⠿⣿⣿⣿⣇⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡀⢰⣿⣿⡏⠀⠀⠀⠀⠀⠀⠈⠀⣀⠀⠀⠀⠀⢰⣿⣿⣿⡆⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡿⣦⣿⣿⣇⣠⠂⠀⠀⠀⠀⣠⣾⣿⣄⠀⠀⠈⣷⣿⣿⣿⡿⢿⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⠿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⣿⣿⢿⣿⣇⢿⣿⣿⠙⢿⣿⣿⣸⣿⣿⣿⣿⡄⠀⠀⠀⠰⣿⣿⣿⣿⣷⣦⣾⣿⣿⣿⣿⣇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⣿⣿⣼⣿⣿⣘⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠉⠛⠫⠝⠛⠛⠛⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⣿⣿⣰⣿⣿⡇⠿⣿⡟⠛⠛⠋⠀⠛⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠈⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠿⣷⣧⣶⣥⣤⣤⣬⣴⣴⣒⣤⣤⣤⣄⣀⣀⣄⣀⣤⣤⣤⣦⣤⣤⣤⣤⣤⣤⣤⣄⣀⣀⣀⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢁⡀⠀⠀⣀⡀⠀⠀⠀⢀⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⣀⠈⣉⢁⠀⠀⣀⣀⣀⣀⣀⣈⡀⡀⠈⠈⠁⠀⠈⠈⢠⡀⠀⠀⠀⠀⠀⠉⠉⠉⢉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠘⠛⠻⠿⠛⠿⠓⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠿⢿⠛⠳⡏⢼⠟⠻⠿⠓⠊⠉⠁⠀⡀⠉⠑⣷⠁⣈⡉⠀⠀⠀⣀⠈⠐⠀⠉⠉⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⠛⠛⠛⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⢠⣿⣿⣿⣷⡶⠂⠀⠀⠀⠀⢰⡄⣦⣦⣆⣷⡄⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣾⣿⣿⣿⠏⠀⠀⠀⠀⡤⢤⣤⣽⣿⣿⣿⣿⣷⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣴⣿⣿⣿⠟⠀⠀⠀⠀⣴⠇⢸⣿⣿⠿⠿⢿⣿⣿⣇⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣀⢰⣿⣿⡏⠀⠀⠀⠀⠀⠀⠈⢀⣀⠀⠀⠀⠀⢲⣾⣿⣿⡇⣰⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡿⣷⣿⣿⣇⣠⠂⠀⠀⠀⠀⣠⣿⣿⣤⠀⠀⠈⣿⣾⣿⣿⡿⣿⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⠿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⢿⣿⣇⢿⣿⣿⠙⢿⣿⣿⣸⣿⣿⣿⣿⠀⠀⠀⠀⠸⣿⣿⢿⣿⣷⣶⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣧⣿⣿⣼⣿⣿⣘⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠈⠛⠫⠝⠛⠛⠛⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⣿⣿⣰⣿⣿⡇⠿⣿⡟⠛⠛⠋⠀⠛⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠿⣷⣧⣦⣥⣤⣤⣬⣴⣶⣒⣤⣤⣄⣀⣀⣀⣄⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⣀⣀⣀⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢁⡀⠀⢉⣀⡁⠀⠀⠐⢒⠶⠤⠄⠀⠀⠀⠀⠀⠀⠀⣀⠈⣉⣁⡀⠀⣀⣀⣀⣀⣀⣈⡈⡁⠀⢉⠉⠀⠈⠀⢠⣀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠘⠛⠻⠿⠛⠿⠓⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠾⢿⠟⠱⠏⢼⡟⠻⠿⠓⠊⠉⠁⠀⡀⠉⠑⣿⠉⣈⡉⠀⠀⠀⣀⠀⠒⠈⠉⠉⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠛⠛⠋⠉⠉⠉⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⢰⣿⣿⣿⣿⡿⠂⠀⠀⠀⠀⢰⡖⣶⣷⣦⣷⡄⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣾⣿⣿⣿⠋⠀⠀⠀⠀⡤⣤⣤⣽⣿⣿⣿⣿⣷⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣼⣿⣿⡿⠗⠁⠀⠀⠀⢴⠃⢸⣿⠿⠿⠻⠿⣿⣿⣇⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣂⢸⣿⣿⡏⠀⠀⠀⠀⠀⠀⠈⢀⣀⠀⠀⠀⢀⣶⣾⣿⣿⣆⣰⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣼⡿⢷⣿⣿⡇⣤⠂⠀⠀⠀⠀⣰⣿⣿⣦⠀⠀⢠⣿⣾⣿⣿⡿⣿⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⠿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⢿⣿⣇⢿⣿⣿⠙⢿⣿⣿⣾⣿⣿⣿⣿⠃⠀⠀⠀⠸⣿⣿⢿⣿⣷⣶⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣧⣿⣿⣸⣿⣿⣚⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠈⠋⠫⠝⠛⠛⠛⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⣿⣿⣰⣿⣿⡇⠿⣿⡟⠛⠛⠋⠀⠛⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠿⣷⣧⣦⣥⣤⣤⣬⣴⣆⣒⣀⣤⣤⣀⣀⣀⣄⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢁⡀⠀⠈⣀⡀⠀⠀⠐⢂⠦⠤⠄⠀⠀⠀⠀⠀⠀⠀⣀⠈⡭⢀⠀⠀⣀⣀⣀⣀⣀⢀⠈⠀⠀⢉⡉⠀⠀⠈⢠⣀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠘⠛⠻⠿⠛⠿⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠾⢿⠹⠓⡏⢼⠟⠻⡷⠑⠋⠋⠁⠀⡀⠉⠑⣷⠁⣈⡉⠀⠀⠀⣀⠀⠒⠀⠉⠉⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⠛⠉⠉⠉⠉⠉⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⢀⣀⣀⡀⢀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⡀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⢰⣿⣿⣿⣿⠿⠁⠀⠀⠀⠀⢴⣎⣷⣷⣦⣻⡆⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⠃⠀⠀⠀⠀⡶⢶⣶⣶⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣼⣿⣿⠿⠋⠀⠀⠀⠀⢼⠁⠸⠿⠿⠛⠛⠿⣿⣿⣧⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣆⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣠⣤⠀⠀⠀⢀⡲⢾⣿⣿⣇⣸⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡟⣿⣿⣿⣿⣿⣾⡟⢿⣿⣿⣇⣤⠁⠀⠀⠀⢀⣴⣿⣿⣦⡀⠀⣀⣿⣿⣿⣿⡟⣿⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⠿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⢿⣿⣇⢿⣿⣿⠙⢿⣿⣿⣽⣿⣿⣿⣿⠃⠀⠀⠀⠸⣿⡿⢿⣿⣿⣷⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣧⣿⣿⣸⣿⣿⣚⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠫⠝⠛⠛⠛⠛⠛⠉⠙⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⣿⣿⣰⣿⣿⡇⠿⣿⡟⠛⠛⠋⠀⠛⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠿⣷⣧⣦⣥⣤⣤⣬⣴⣆⣒⣠⣤⣤⣄⣀⣀⣄⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⣀⣀⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢁⡀⠀⠈⣀⡀⠀⠀⠀⢐⠦⠤⠀⠀⠀⠀⠀⠀⠀⠀⣀⠈⠥⣀⠀⠀⣀⣀⣀⣀⣀⣀⡉⠁⠀⢈⡉⠀⠈⠀⢠⣀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠘⠛⠻⠿⠛⠿⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠿⠿⠙⠲⣋⢼⡟⠻⡿⠁⠉⠋⠁⠀⡀⠉⠑⣿⠁⣈⡉⠀⠀⠀⣀⠀⠐⠀⠉⠉⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠛⠋⠉⠉⠉⠉⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢰⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠰⣆⣿⣷⣦⣿⡆⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⠃⠀⠀⠀⠀⡶⢦⣴⣶⣿⣿⣿⣿⣿⡀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣼⣿⣿⠿⠋⠀⠀⠀⠀⢼⠁⠸⠿⠟⠛⠛⠻⢿⣿⣧⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣦⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢠⣤⠀⠀⠀⠀⣹⣿⣿⣿⣇⣴⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⡏⣿⣿⣿⣿⣿⣾⡿⢿⣿⣿⣧⣴⠁⠀⠀⠀⢀⣼⣿⣿⣦⡀⠀⣠⣿⣿⣿⣿⡟⢻⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⢿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⢿⣿⣇⢿⣿⣿⠙⢿⣿⣿⣼⣿⣿⣿⣿⠃⠀⠀⠀⠸⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣧⣿⣿⣸⣿⣿⣚⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠫⠝⠛⠛⠛⠛⠛⠉⠙⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⣿⣿⣸⣿⣿⡇⠿⣿⡟⠛⠛⠋⠀⠛⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠿⣷⣧⣦⣷⣤⣤⣬⣴⣆⣒⣠⣤⣤⣀⣀⣀⣄⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣠⣀⣀⣀⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢁⡀⠀⢈⣀⡀⠀⠀⠐⢰⠦⠤⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⢅⣁⠀⠀⣀⣀⣀⣀⡀⢀⠈⠀⠀⢈⡁⠀⠀⠀⢠⣀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠘⠛⠻⠿⠛⠿⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠿⠿⠙⠲⣯⣼⡟⠻⡷⠑⠚⠉⠁⠀⡀⠉⠑⣿⠁⣈⡁⠀⠀⠀⣀⠀⠒⠀⠉⠉⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠃⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣮⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢃⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⡛⠛⠉⠙⠉⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠓⠊⠀⠀⠀⠀⠀⠀⠀⢨⠄⠇⠛⠳⡟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡦⢠⠄⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⢀⡀⠤⠔⠀⠀⠀⠀⠀⢀⣀⣴⣤⣼⣷⣄⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣯⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢠⣿⣿⣷⡦⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡾⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣼⣿⣿⠟⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢿⣿⣾⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡿⠏⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣼⣿⣿⠋⠀⠀⠀⠀⣾⣿⣿⣿⠟⠛⠛⠉⠻⣿⣿⣷⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⢿⣿⣿⣿⡿⠇⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣧⡀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠹⠇⣀⠀⠀⠀⠀⡀⢻⣿⣿⣄⣠⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⢿⣿⣿⣿⣿
⣿⣿⢿⣿⣿⣿⣷⠀⣸⣟⠉⣽⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣾⡿⢿⣿⣿⣇⣀⠀⠀⠀⠀⣴⣶⡀⢿⣦⡀⠀⢀⣥⣤⣿⣿⣿⣿⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢸⣿⣿⣿
⠿⠿⣿⠿⠿⠟⠀⠼⠏⠣⣶⣿⣿⣿⣿⣿⡇⢿⣿⣿⠛⢿⣿⣿⣼⣿⣿⣿⣷⠀⠀⠀⠈⣿⣿⠃⠘⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡸⠿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣻⣿⣿⢘⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠁⠀⠉⠉⠉⠉⠹⠿⣿⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⢿⣿⣨⣿⣿⡟⣿⣿⠏⠉⠉⠁⠀⠘⠻
⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠛⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⡦⠀⠀⠀⠀⠀⠀⠀⢀⣤⣄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠉⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡧⠀⠀⠁⠀⠠⣴⣶⣤⣠⣐⣂⢀⠀⠀⣀⣀⣀⣀⡀⠀⠤⠤⠤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⣀⣄⣀⣀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⣀⣀⣀⣀⠀⣀⣀⢀⠀⣀⠀⠀⠀⠀
⢀⡀⠀⠀⣀⣀⡐⠿⠃⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⣀⣀⣄⣄⣉⣈⡉⠉⠁⢉⣙⢋⡻⣀⢣⣦⣤⣄⣷⣉⣙⣟⣯⣭⣉⡉⣉⣉⠉⠉⠉⠉⠉⠈⠉⠀⠈⠉⠉⠉⠉⠉⠉⠉⢹⣿⣿⣟⡋⠉⠀⠀
⠘⠛⠳⠿⠛⠿⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠐⠦⠻⢝⠻⢾⣿⣿⣿⡿⠽⠝⠗⠀⣿⠋⢙⣿⡿⣯⣿⡷⢧⢭⣹⣿⣿⡿⠋⠉⠀⠈⠝⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣿⣿⣿⣆⠀⠀
⠀⠀⢀⢀⣪⣟⣟⣿⣿⣿⣿⣿⣿⣿⢟⣕⣵⣿⣿⣿⠏⣽⣿⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣤⣾⣵⣤⣿⣿⣿⣿⣿⣿⣿⣿⢷⡞⢟⣅⣋⣿⣿⠻⣸⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣻⠧⢼⡇⠀⣾⣿⡟⢩⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯
⣿⣿⣿⣿⣿⣿⣿⡿⣫⣾⠹⢦⣤⣗⣖⣛⠛⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⣿⣿⣿⣇⢠⣌⠻⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⠟⣫⡞⠫⠀⠁⠈⣿⣿⡽⠁⡨⣿⣿⣿⣷⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣺⣿⠿⠿⢿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⢿⣿⡷⣿⣿⣦⡈⠻⣿⣿⣿
⣿⣿⣿⠟⡡⠞⠁⠀⠀⠀⠀⠀⠉⠋⠀⠐⡨⣻⠿⣿⣿⣿⣿⣿⡿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣏⣀⣀⣀⣬⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠦⠃⢶⣿⣿⣿⣿⣄⠈⢿⣿
⣿⠟⣡⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢐⣰⣽⣿⣿⣿⣿⣿⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡯⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠹⣿⣯⠄⢸⢿⣿⣿⣿⣿⣷⡄⠙
⣡⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠀⠀⠀⠀⠀⠀⣬⣭⣭⡭⠁⠀⠉⠉⠉⠉⣩⣭⣿⡿⠋⠀⠹⣿⣿⣿⣿⣿⣿⣿⠀⠙⣿⣷⣌⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠊⠋⠙⠛⠻⡛⣿⣿⣿⣿⠠⣦⡨⢿⣿⣿⣿⣿⣿⣆
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠁⠀⠀⠀⠀⠀⠀⠉⣿⣿⡄⠠⠀⠀⠀⠀⠰⠿⠿⠁⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣀⠀⠈⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣘⣿⣿⣿⡏⠀⠑⡅⠈⠛⢟⡻⠋⠁⠿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠌⠀⠀⠀⠀⠀⣀⣀⣀⣀⣽⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣶⣿⣿⣿⣿⣿⣿⣿⣷⠀⠂⠘⠌⠀⠀⠀⠀⠀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⡠⠃⠀⡀⠀⠀⠀⣼⣿⣿⣿⣿⡿⣿⢋⡀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢀⣴⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⢻⣿⣿⣿⣿⣿⣿⡳⡟⡄⠂⠀⠀⠈⢄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⠔⠀⠀⠀⣇⠀⠀⣼⣿⣿⣿⣿⣿⣷⣣⣾⣗⠁⠀⠀⠀⠀⠀⠀⡆⢠⣿⣿⣿⣿⠟⠛⠛⠃⢻⣿⣿⣿⠉⠀⠀⡀⡀⠀⠠⠄⠄⠀⢘⠀⠀⠀⣻⣿⣿⣿⣿⣿⣿⣧⠏⠀⠀⠀⠀⠈⢂⠀⠀⠁⠀
⠀⠀⠀⠀⠀⢀⠊⠀⠀⠀⠀⢸⣀⣾⣿⣿⣿⣿⢿⣽⢋⣺⣯⢿⣦⢤⠀⠀⠠⢀⠀⣠⣿⣿⣿⠟⠁⠀⠀⠀⠀⠈⣿⣿⣿⣄⠠⢈⡃⣀⠲⣨⠌⡀⢈⢰⣆⠠⠀⠀⢹⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠣⠀⠀⠀
⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠟⠇⢬⣴⣼⡟⡾⣀⣔⣒⣠⣸⡄⠀⠙⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⠘⢰⣉⣻⢿⠄⡀⠌⠨⢘⣦⣿⣺⣿⣿⣿⣿⣿⣿⣿⣿⣴⡆⠀⠀⠀⠀⠀⠳⡀⠀
⠀⠀⣴⠟⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⡿⡟⠀⠀⣿⣿⢭⢽⣿⣭⣿⣿⣿⣿⠃⠀⠀⢿⣿⣿⠃⠀⠀⠀⡀⠀⠀⠀⠀⢻⣿⣿⠄⠀⢔⣿⣼⣻⣿⣾⣯⣿⣿⣿⡉⠖⣓⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⢳⡄
⢀⣾⠋⠀⠀⠀⠀⠄⠀⢠⣿⣿⣿⣿⣿⡏⠀⠀⠀⣓⣛⣋⠛⢛⣙⣛⣛⣛⣛⣃⡀⠀⢸⣿⣿⣆⠀⠀⠐⠆⠅⠀⠀⠀⣼⣿⣿⡆⠀⠽⠿⠿⠿⠱⠜⠿⠽⠿⠿⠇⠠⠈⠼⠟⠇⠘⢿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⢻
⡿⠁⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⠉⠁⠀⠀⠬⠛⠋⡋⠋⡴⣷⣾⣿⣿⣿⣿⡧⢀⣼⣿⣿⣿⡿⠻⣿⡇⣿⡿⠀⣠⣿⣿⣿⠣⠀⠀⢠⣿⣷⣾⣿⣿⣿⣿⣿⣧⡀⠀⠀⡤⣴⣦⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⡯⠀⠀⠀⠀⠀⡀⣠⡅⢀⡷⣽⣿⣿⣿⣿⣟⣥⣿⣿⢟⡛⣁⠀⣼⣿⡗⣿⣧⡾⠿⠿⢿⣷⣤⣸⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣄⠓⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀
⠀⠀⠹⡏⠀⠀⣠⣿⣿⣿⣿⡟⠋⠀⠀⠠⢠⢄⡒⣿⣿⠌⠀⣵⣿⣿⣿⣿⣿⣿⣟⣿⣧⣾⣾⣿⣿⣿⣿⡇⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠂⢽⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀
⣧⠀⠀⠀⠀⢰⣿⣿⣿⣿⣯⡄⠀⠀⠀⣠⠷⣵⢉⣝⣉⢂⠴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⡆⠏⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀
⣿⡆⠀⠀⣠⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⠭⣿⣿⣿⡇⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠰⢿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀
⠛⠛⠁⢾⣿⣿⣿⣿⣿⠟⠃⠀⠀⠀⠀⢸⣿⣿⢣⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠈⠀⠫⣿⣿⣟⣿⣿⣿⣿⣿⣧⠀⠀
⠀⠀⠀⠀⣺⣟⣿⣿⣿⣿⣿⣿⣿⣿⢟⣟⡿⣿⣿⣿⢯⣵⣿⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣤⣞⣳⣬⣾⣿⣿⣿⣿⣿⣿⣿⢷⡾⢿⢟⣽⣿⡿⠷⣼⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣻⠯⣬⡇⢄⣾⣿⡟⢡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿
⣿⣿⣿⣿⣿⣿⣿⡿⣫⡾⠫⢦⣤⣤⣼⢿⠟⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⡝⣿⣿⣿⣏⢠⡈⠻⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⠟⣫⡞⢯⠮⠀⠈⣿⣿⡿⠁⢨⣷⣿⣿⣷⣿⣿⣿⣿⣻⣿⣿⣿⣯⣽⣿⣯⣿⣿⣗⣾⣿⠿⠿⣿⣿⣿⣿⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡚⠻⣿⢷⣿⣿⣦⡈⠻⣿⣿⣿
⣿⣿⣿⠟⣣⠞⠋⠀⠀⠀⠀⠀⠙⠏⠀⠀⡻⢿⣿⣿⣿⣿⣿⣿⡏⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣍⣀⣀⣀⣬⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⠷⠉⢦⣿⣿⣿⣿⣆⠈⢿⣿
⣿⠟⣡⠚⠁⠀⠀⠀⠀⠠⠀⠅⢀⠀⠀⠹⢊⠈⣿⣿⣿⣿⣿⡟⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡍⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠩⣿⣯⡄⢸⣿⣿⣿⣿⣿⣷⡄⠙
⣡⠞⠋⠀⠀⠀⠀⠀⠀⠐⠁⠀⢹⠀⠀⠀⠀⠐⠀⣭⣭⣭⣍⠉⠀⠉⠉⠉⠉⣩⣭⣿⡿⠋⠀⠹⣿⣿⣿⣿⣿⣿⣿⠀⠙⣿⣷⣌⡉⠉⠉⠉⠉⠉⠙⠙⠛⠛⠚⠛⠛⠛⠻⠙⣿⣿⣿⣿⠰⣆⠹⢿⣿⣿⣿⣿⣿⣦
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠁⠀⠀⠀⠀⠀⠀⠙⢿⣿⡀⠀⠀⠀⠀⠀⠰⠿⠿⠁⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⡀⠀⠈⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣹⣿⣿⣿⡏⠀⠑⡆⡘⣛⣟⠻⠛⠉⢿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠌⠀⠀⠀⠀⠀⢀⣀⡀⠀⣼⣿⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣮⣿⣿⣿⣿⣿⣿⣿⣷⠀⢆⠘⠌⠀⠀⠀⠀⠀⠐
⠀⠀⠀⠀⠀⠀⠀⠀⡠⠂⠀⡀⠀⠀⠀⣸⣿⣿⣿⣿⡿⠿⠋⠀⡀⠀⠀⠀⠀⠀⠀⠀⠂⢀⣤⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠺⣿⣿⣿⣿⣿⣿⡣⠿⡏⠀⠀⠀⠈⠄⠀⠀⠀⠐⠁
⠀⠀⠀⠀⠀⠀⠀⡔⠁⠀⠀⣇⠀⠀⣴⣿⣿⣿⣿⣿⣗⣧⡶⣗⡅⠀⠀⠀⠂⠀⠁⡆⢠⣾⣿⣿⣿⡿⠛⠛⠂⢻⣿⣿⣿⠙⠀⢀⡠⠂⠀⣒⠠⠆⠛⠀⡀⠀⠀⠹⢿⣿⣿⣿⣿⣿⣷⡏⡀⠀⠈⠀⠈⢂⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⠊⠀⠀⠀⠀⢸⡀⣾⣿⣿⣿⣿⠟⣭⣙⣻⣯⣁⡦⠀⡀⠤⠀⠀⠀⢀⣾⣿⣿⠿⠁⠀⠀⠀⠀⠈⣿⣿⣿⣄⡀⣨⣓⠒⢬⡩⠘⠳⣳⢢⠂⢀⠀⠀⢀⠻⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠣⠀⠀⠀
⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠛⢒⣴⣾⡇⣻⣿⢐⣂⣖⣖⡐⠠⠀⠘⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡇⠊⠘⠯⡖⠉⢴⢐⣆⣶⢛⣿⡶⠀⠀⡿⣛⣟⢿⣿⣿⣿⣴⡆⠀⠀⠀⠀⠀⠱⡀⠀
⠀⠀⣴⠟⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⠇⠀⠀⣭⣽⣏⢿⣏⣿⢿⣟⣭⣯⣍⠀⠀⢿⣿⣿⡇⠀⠀⠀⠆⠀⠀⠀⠀⢻⣿⡷⠀⠀⣋⣁⡹⡯⢽⣹⣇⣬⣿⣿⠀⠀⠺⢸⡇⠀⢿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⢳⡄
⢀⣾⠋⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⠏⠀⠀⣀⣓⣓⣚⣚⣛⡛⢛⡒⡛⠛⢋⡂⡀⢸⣿⣿⡇⡀⠀⠸⠆⠄⠀⠀⠀⣾⣿⣿⡦⠈⠍⠿⠿⠿⠸⠷⠵⠴⠿⠿⠆⠄⠀⠨⠑⠀⠀⠿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⢻
⡿⠁⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⠅⠀⠀⠀⣘⠭⣉⠣⠚⠿⡷⣿⣦⣾⣿⣿⡷⢂⣼⣿⣿⣿⡯⠺⣿⡇⣿⡯⠀⣠⣿⣿⣿⠃⠀⠀⢠⣿⣿⣿⣾⣿⣿⣿⣿⣷⡀⠀⠀⠀⣀⣀⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⢀⡰⣶⠓⠄⣷⣭⣿⣿⣿⣿⣿⣥⣿⣿⠿⠛⠉⠀⣰⣾⡇⣿⣧⡾⢿⣿⣿⣧⣠⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⣼⠟⠿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀
⠀⠀⠹⡏⠀⠀⣠⣿⣿⣿⣿⡟⠉⠀⠀⠀⠀⣄⡚⣿⡿⠐⢤⣻⣟⣿⣿⣿⣿⣿⣿⣯⣥⣦⣾⣿⣿⣿⣿⡇⣿⣿⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⢂⣉⣷⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀
⣧⠀⠀⠁⠀⢰⣿⣿⣿⣿⣼⡂⠀⠀⠀⢤⣄⢷⣑⢿⢹⠀⡅⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⡂⠀⠿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀
⣿⡆⠀⠀⣠⣾⣿⣿⣿⣿⠛⠀⠀⠀⢀⣣⣾⣿⣭⣦⢊⣄⣶⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⢽⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀
⠟⠛⠁⣿⣿⣿⣿⣿⣿⡟⠃⠀⠀⠀⠀⢸⣿⣿⣧⠐⠒⡺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠐⠞⣦⢿⣟⢿⣿⣿⣿⣿⣧⠀⠀
⠀⠀⠀⠀⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⢟⢗⠽⣿⣿⣻⡯⣷⡿⣧⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣤⣾⣵⣦⣾⣿⣿⣿⣿⣿⣿⣿⢶⡶⢿⠕⣡⣿⡻⠧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣻⠭⣼⠇⠀⣮⣿⡿⢡⣾⣿⣟⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯
⣿⣿⣿⣿⣿⣿⣿⡿⣫⡞⠻⢦⣤⣤⣼⢿⠟⣠⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⡝⣿⣿⣿⡏⢠⡈⠻⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡿⣫⡞⢿⠤⠀⠈⣿⣿⡯⠁⢈⣾⣿⣻⣿⣿⣿⣿⣾⣯⣿⣿⣿⣭⣿⣿⣿⣿⣿⣟⣾⣿⠿⢿⣿⣿⣿⣿⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡊⣻⣿⣷⣿⣿⣦⡈⠻⣿⣿⣿
⣿⣿⣿⠟⣫⠞⠁⠀⠀⠀⠀⠀⠉⠋⠀⡀⣻⢿⣿⣿⣿⣿⣿⣿⡏⣠⣿⣶⣿⣿⣿⣿⣿⣿⣿⡏⣏⣀⣀⣀⣬⣾⣿⣿⣿⣿⡷⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠉⢦⣿⣿⣿⣿⣄⠘⢿⣿
⣿⠟⣡⠞⠁⠀⠀⠀⠀⠀⠀⠀⢄⠀⠀⡘⢐⡀⣿⣿⣿⣿⣿⡟⢠⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡍⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠩⣿⣿⠄⢸⣿⣿⣿⣿⣿⣷⡄⠙
⣡⠞⠃⠀⠀⠀⠀⠀⠀⠀⠋⠀⢹⠀⠀⠀⠀⠀⠀⣩⣭⣭⡭⠉⠈⠉⠉⠉⠉⣉⣭⣿⡿⠏⠁⠹⣿⣿⣿⣿⣿⣿⣿⠀⠙⣿⣷⣌⠙⠉⠙⠛⠉⠛⠛⠛⠛⠛⠚⠛⠛⠛⠻⡟⣿⣿⣿⣿⠠⣤⢛⣿⣿⣿⣿⣿⣿⣦
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠙⣿⣿⡄⠀⠀⠀⠀⠀⠰⡿⠿⠋⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣀⠀⠉⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣙⣿⣿⣿⡏⢀⠹⡔⠘⣛⣿⠻⠛⠁⢻
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠌⠀⠀⠀⠀⠀⢀⣀⡀⠀⣼⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣾⣿⣿⣿⣿⣿⣿⣷⠀⠆⠘⡔⠀⠡⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡠⠂⠀⡀⠀⠀⠀⣸⣿⣿⣿⣿⡟⡋⢍⣁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⣿⣿⣿⣿⡫⠟⣻⠂⠘⠀⠈⠄⠀⠀⠀⠀⠈
⠀⠀⠀⠀⠀⠀⠀⡔⠁⠀⠀⣇⠀⠀⣼⣿⣿⣿⣿⣿⣷⣇⣿⣗⡀⠀⠀⠀⠀⠀⠀⠓⢀⣾⣿⣿⣿⡿⠛⠛⠀⢻⣿⣿⣿⠛⠁⠀⡀⠀⠀⣀⠀⠀⡄⠀⡀⡀⠀⠘⢿⣿⣿⣿⣿⣿⣧⡿⠀⠀⠘⠀⠈⢢⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⠊⠀⠀⠀⠀⠸⣀⣼⣿⣿⣿⣿⡛⣩⣽⣾⣵⠎⡄⠀⠀⠀⡀⡀⠀⢀⣼⣿⣿⡿⠋⠀⠀⠀⠀⠈⣿⣿⣷⣀⠀⣤⢲⣄⣠⢬⣂⠈⠃⢦⢩⡀⡀⠀⢈⡻⣿⣿⣿⣿⣿⣇⠁⠀⠀⠀⠀⠀⠣⠀⠀⠀
⠀⠀⠀⠀⡠⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡻⡿⡥⣄⢐⣾⣞⣫⢄⣀⣰⣳⡒⡂⠀⠈⢻⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⡦⠂⠊⠑⢨⣯⣐⣒⣀⣘⣯⣿⡇⠀⠀⢍⢿⡛⢿⣿⣿⣿⣴⡄⠀⠀⠀⠀⠀⠳⡀⠀
⠀⠀⣰⠟⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⡿⠇⠀⠀⡬⡿⡿⢟⣉⣿⣿⣿⣻⣿⣍⡂⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣇⠀⠀⢈⣐⣟⡶⢞⣿⣇⣿⣵⣿⡐⠈⠀⠸⢉⠙⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⢳⡀
⢀⣾⠏⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⡿⡋⠀⠀⢐⣛⣓⣋⣙⣛⣓⣚⠿⠃⠙⠛⠃⠀⠀⣿⣿⡇⠀⠀⠶⠇⠀⠀⠀⠀⣾⣿⣿⠆⠀⠼⠿⠿⠭⠽⠾⠯⠿⠿⠿⠣⠀⠁⠀⠠⠀⠀⠿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⢻
⡿⠁⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⠄⠀⠀⠀⠉⠛⠑⣄⠙⢻⣾⣯⣶⣿⣾⣷⡿⠀⣰⣿⣿⣿⡧⢝⣶⡇⣿⡎⠀⣰⣿⣿⣿⠃⠀⠀⢐⣶⣶⣶⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⣀⣦⣾⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀
⠁⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⡋⠀⠀⠀⢀⠀⣀⣯⡌⢂⠀⣼⣿⣿⣿⣿⣿⣥⣿⡿⠿⠟⠋⠀⢈⣾⡇⣿⣇⡾⣿⣿⣿⣿⣄⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⢳⣿⣻⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀
⠀⠀⢹⡟⠀⠀⣠⣿⣿⣿⣿⢟⠁⠀⠀⠀⠀⢠⢫⣿⣏⢍⠫⣲⣿⣿⣿⣿⣿⣿⣟⣯⣤⣴⣶⣿⣿⣿⣿⡇⣿⣷⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡄⠀⣻⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀
⣧⠀⠀⠀⠀⢰⣿⣿⣿⣿⣭⠦⠀⠀⠀⠴⡶⣾⢘⣿⣟⠈⡑⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠂⠙⢻⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀
⣿⡇⠀⠀⣠⣾⣿⣿⣿⣿⠯⠀⠀⠀⠈⢫⣿⣿⣯⡇⠫⣴⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣔⠀⠝⢻⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀
⠟⠛⠁⣿⣿⣿⣿⣿⣿⡟⠃⠀⠀⠀⠀⢰⣿⣿⠿⠀⠙⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠹⣿⣿⢞⣿⣿⣿⣿⣿⣧⠀⠀
⠀⠀⢀⠀⢲⣾⡿⣿⣿⣿⣿⣿⣿⣿⢟⠧⡿⣿⣿⣻⡯⢿⣿⣧⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣤⣒⣿⣤⣿⣿⣿⣿⣿⣿⣿⣿⢶⡶⠿⠍⣉⣿⡿⢇⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣻⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣻⠭⡽⡇⠀⢂⣿⡿⢁⣶⣿⣟⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿
⣿⣿⣿⣿⣿⣿⣿⡿⣫⡾⢻⢦⣤⣤⣴⣿⠏⣰⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡝⣿⣿⣿⡏⢠⡈⠻⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡿⣫⡞⢿⠏⠀⠈⣿⣿⡿⠁⢀⣾⣿⣿⣿⣿⣿⣿⣾⠯⣿⣿⣯⣿⣿⣿⣿⣿⣿⣟⢿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡊⣻⣿⣵⣿⣿⣦⡈⠻⣿⣿⣿
⣿⣿⣿⡟⣫⠞⠉⠀⠀⠀⠀⠀⠙⠋⠀⠐⡻⢿⡿⣿⣿⣿⣿⣿⣟⣹⣿⣶⣿⣿⣿⣿⣷⣿⣿⡯⣏⣀⣀⣀⣬⣾⣿⣿⣿⣿⡷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⢠⣿⣿⣿⣷⣄⠘⢿⣿
⣿⠟⣡⠞⠁⠀⠀⠀⠀⢠⠀⠁⢀⠀⠐⡹⡅⢉⣻⣿⣿⣿⣿⡟⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠉⣿⣿⡅⢸⣿⣿⣿⣿⣿⣷⡀⠙
⣡⠞⠃⠀⠀⠀⠀⠀⠀⠐⠟⠀⢸⠀⠀⠀⠀⠀⠀⣩⣭⣭⡭⠁⠈⠉⠉⠉⠉⣉⣭⣿⡿⠏⠉⠹⣿⣿⣿⣿⣿⣿⣿⠀⠙⣿⣧⡔⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠚⠛⠛⠛⠻⡟⣿⣿⣿⣿⠠⣤⢛⣿⣿⣿⣿⣿⣿⣦
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠙⢿⣟⡀⠀⠀⠀⠀⠀⢰⡿⠿⠋⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣀⠀⠉⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣹⣿⣿⣿⡏⠀⠹⡀⠘⢛⣿⡟⠛⠈⠹
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠀⠀⠀⠀⠀⢀⡀⠀⠈⣸⣿⣿⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣿⣿⣿⣿⣿⣿⣿⣷⠀⢂⠐⡄⠈⠙⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡠⠂⠀⡀⠀⠀⠀⣸⣿⣿⣿⣿⣿⢛⠏⢀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⣠⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⡻⡿⡯⠂⠘⠀⠈⠄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡔⠁⠀⠀⢇⠀⠀⣰⣿⣿⣿⣿⣿⣿⡓⢻⣄⡄⠀⠀⠀⠀⠈⠀⢀⠀⣴⣿⣿⣿⡿⠋⠘⠀⢻⣿⣿⡿⠛⠀⠀⡀⠤⢀⣠⡄⠀⠀⢀⡂⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠈⠀⠈⢢⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⠊⠀⠀⠀⠀⢸⡀⣼⣿⣿⣿⣿⠟⣽⣙⣟⣿⡟⡥⠀⡀⡀⠀⢰⠆⠀⣸⣿⣿⣿⠋⠀⠀⠀⠀⠸⣿⣿⣇⠀⢀⣤⣥⡤⣠⠉⡔⠂⠈⠄⢀⠁⠀⠂⠐⢿⡿⣿⣿⣿⣿⣇⠁⠀⠀⠀⠀⠀⠣⠀⠀⠀
⠀⠀⠀⠀⡠⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡿⢀⣆⣏⣛⣓⠽⠲⠂⡒⡤⣴⣾⣏⠀⢻⣿⣿⣦⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⡄⠉⠉⣧⠳⡶⢒⣀⢀⣰⢹⣸⣐⠀⠀⣷⢹⢿⣿⣿⣿⣿⣴⡄⠀⠀⠀⠀⠀⠱⡀⠀
⠀⠀⣰⠟⠁⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⠏⠀⢘⠾⣧⣏⡛⣫⡿⢿⣿⣿⣿⠃⠀⠀⠸⣿⣿⣿⠀⠀⠀⠁⠀⠀⠀⠘⣿⣿⡇⠀⠀⢠⡭⣿⣿⣻⡷⢸⣻⣿⣿⡀⠐⠄⢬⡿⢁⣽⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⢳⡀
⢀⣾⠏⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⠅⠀⠀⢐⣛⢛⣈⡘⣛⡃⡛⠧⡛⣛⣛⣇⠀⠀⣿⣿⣿⠀⠀⠸⠆⠴⠀⠀⢠⣿⣿⣷⠀⠀⠸⠿⠿⠿⠿⠿⠵⠼⠿⠿⠆⠅⠀⠈⠄⠄⠀⢿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⢻
⡿⠁⠀⠀⠀⠀⠀⠐⢰⣿⣿⣿⣿⣿⠃⠀⠀⠀⠉⣣⠛⠅⢉⠩⣻⣿⣦⣿⣿⣿⣿⠆⣠⣿⣿⣿⣖⢠⢿⡇⣿⡃⠀⣼⣿⣿⣿⠅⠀⠀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⡤⣤⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀
⠁⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⢀⢅⣱⢞⡝⠷⣶⣿⣿⣿⣿⣿⣥⣿⡿⠿⠟⠛⣉⠠⣾⡗⣿⢀⣾⣿⣿⣿⣃⣀⣠⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡄⠀⠀⣟⣟⣻⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀
⠀⠀⢩⡟⠀⠀⣠⣿⣿⣿⣿⠿⠋⠀⠀⠀⣀⣰⣒⣿⡷⢸⢁⣶⣿⣿⣿⣿⣿⣿⣿⣅⣤⣾⣾⣿⣿⣿⣿⡇⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢒⣂⣱⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀
⣧⠀⠀⠁⠀⢠⣿⣿⣿⣿⣻⠆⠀⠀⠀⢰⣤⣻⢻⠛⠟⠁⠌⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠢⠙⢻⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀
⣿⡇⠀⠀⣠⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠠⣿⣿⣶⡞⠈⣌⣼⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀
⠟⠛⠁⣿⣿⣿⣿⣿⣿⡟⠃⠀⠀⠀⠀⢺⣿⣿⡧⠀⠈⠾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⡙⢟⣿⡛⢿⣿⣿⣿⣿⣧⠀⠀
⠀⠀⢀⢠⣒⣻⣮⣿⣿⣿⣿⣿⣿⣿⢟⠟⣵⣻⣿⣿⡿⣿⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣤⢶⣻⣮⣽⣿⣿⣿⣿⣿⣿⣿⢷⡖⣿⣿⣿⣿⡿⢏⣱⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡻⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣻⠥⣹⠇⠀⣶⣿⡿⢃⣾⣿⣷⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡍⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯
⣿⣿⣿⣿⣿⣿⣿⡿⣋⣜⠯⢦⣄⣤⣵⢿⠟⣐⣿⣿⣿⣿⣿⣿⣿⣿⣷⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡽⣿⣿⣿⡏⢠⡈⠻⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡿⣫⡞⢿⠇⠀⠈⣿⣿⡿⠁⢀⣾⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢽⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣚⣿⣿⣷⣿⣿⣦⡈⠻⣿⣿⣿
⣿⣿⣿⡿⣫⠞⠉⠀⠀⠀⠀⠀⠙⠛⠁⠒⣿⣿⣿⣿⣿⣿⣿⣿⣛⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣍⣀⣀⣀⣬⣿⣿⣿⣿⣿⣗⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⢤⣿⣿⣿⣿⣄⠙⢿⣿
⣿⡟⣩⠖⠁⠀⠀⠀⠀⠐⠠⡄⢀⠀⠀⣼⣫⢘⢽⣿⣿⣿⣿⡯⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⣿⣿⠇⠸⣿⣿⣿⣿⣿⣷⡄⠙
⣣⠞⠁⠀⠀⠀⠀⠀⠀⠐⠷⠁⢸⠀⠀⠀⠀⠐⠀⣩⣭⣭⡭⠁⠈⠉⠉⠉⠉⣉⣭⣿⡿⠏⠉⠙⣿⣿⣿⣿⣿⣿⣿⡆⠙⣿⣯⡂⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠚⠛⡛⠛⠻⡟⣿⣿⣿⣿⢠⣤⠛⣿⣿⣿⣿⣿⣿⣆
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠑⠀⠀⠀⠀⠀⠀⠙⢿⣿⡄⠀⠀⠀⠀⠀⠰⡿⠿⠋⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣇⠀⠉⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣘⣿⣿⣿⡟⠀⠹⡤⠘⢻⣿⡟⠿⠛⢿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠈⣽⣿⣿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣷⠀⠆⠐⡄⠈⠹⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢠⠂⠀⡀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⢅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⠿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡯⢿⣿⡄⠐⠀⠈⠄⠠⠀⡀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡐⠁⠀⠀⢇⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⠟⠁⠀⢸⣿⣿⣟⠛⠃⠀⠀⣀⣀⠤⠀⠀⠄⢱⣿⡇⢈⢻⣿⣿⣿⣿⣿⣿⣧⣿⠆⠀⠈⠂⠈⢦⠀⠁⠈⠀
⠀⠀⠀⠀⠀⢀⠈⠀⠀⠀⠀⢸⡀⣼⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⡏⠄⡀⡀⠀⣈⡄⠀⣰⣿⣿⣿⠟⠁⠀⠀⠀⢸⣿⣿⡃⠀⠀⣀⣔⠀⢰⣤⣄⣠⢈⢨⣿⣉⢀⠄⠻⣿⣿⣿⣿⣿⣿⣇⠁⠀⠀⠀⠀⠀⢣⠀⠀⠀
⠀⠀⠀⠀⡠⠃⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⢿⢃⣸⣿⣿⣿⡿⣣⣦⣮⣶⣖⣲⠀⠀⢻⣿⣿⣧⠀⠀⠀⠀⠀⠈⠙⣿⣿⣷⠀⠉⡬⠭⡕⡏⣅⣔⣀⣰⣿⣿⡯⡆⡀⣿⣿⣿⣿⣿⣿⣿⣴⡄⠀⠀⠀⠀⠀⠳⡀⠀
⠀⠀⣰⡟⠁⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣧⠀⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠇⠀⠈⣿⣿⣿⠂⠀⠀⡀⠀⠀⠀⠹⣿⣿⠀⠀⢈⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⡂⡸⡿⣿⣿⣯⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⢳⡀
⢀⣾⠏⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⠏⠁⠀⣚⣛⣓⣊⣙⣙⡛⠛⠛⠛⡛⠛⡃⠄⠀⢹⣿⣿⠀⠀⠶⠆⠂⠂⠀⢠⣿⣿⣦⠀⠀⠿⠿⠿⠿⠿⠿⠿⠯⠿⠿⠿⠆⠀⠸⠿⠏⠩⢿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⢻
⡿⠃⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⠉⠀⠀⠀⢦⡽⠭⠽⠁⢿⣿⣿⣿⣿⣿⣿⣿⠏⢀⣾⣿⣿⣦⢰⣿⡇⣿⡇⠀⣼⣿⣿⣿⠁⠀⠀⣴⣿⣷⣾⣿⣿⣿⣿⣿⣷⣀⠀⢀⣠⣴⣶⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀
⠁⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⢙⣽⣿⡏⢿⣿⣿⣿⣿⣿⣿⣥⣾⡿⠿⠿⣟⢋⢀⣿⡗⣿⢃⣴⣿⣿⣿⣯⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⠠⣻⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀
⠀⠀⢹⡟⠀⠀⣠⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⢔⣷⣿⣿⣟⠳⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣴⣶⣿⣿⣿⣿⡇⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⡲⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀
⣧⠀⠀⠁⠀⢠⣿⣿⣿⣿⣯⡆⠀⠀⠀⠐⢤⣯⣟⢻⣿⢧⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣂⢛⢿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀
⣿⡇⠀⠀⣠⣼⣿⣿⣿⣿⡿⠀⠀⠀⠀⠑⣼⣿⣾⣧⠻⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢉⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀
⠟⠛⠃⢿⣿⣿⣿⣿⣿⠟⠃⠀⠀⠀⠀⢺⣿⣿⡿⠀⠘⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠊⠀⠙⣿⣿⡿⣿⣿⣿⣿⣿⣧⠀⠀
⠄⠀⢀⠀⣐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣵⢿⣿⣿⡿⣷⣿⣄⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣠⣶⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⢷⡶⢷⢇⣩⣿⣿⠏⣐⣟⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣯⣻⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿
⣻⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⠝⠼⠇⠈⢀⣶⡿⢁⣾⣾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡩⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻
⣿⣿⣿⣿⣿⣿⣿⡿⢋⡕⣿⠦⣄⠀⣀⣛⠋⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡽⣿⣿⣿⡏⢠⡈⠻⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡿⢋⠔⠻⠐⠀⠈⣿⢾⡗⠃⢐⣸⣿⣿⣿⣿⣿⡿⢿⠟⣶⣿⣿⣿⣿⡿⣿⣿⣿⡯⣭⡿⠿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⣿⣿⣿⣿⣿⣦⡈⠻⣿⣿⣿
⣿⣿⣿⡿⢋⠔⠑⠀⠀⠀⠀⠀⠉⠛⠁⠒⡺⡿⣯⣿⣿⣿⣿⣿⢟⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠁⠀⠀⣀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣻⢿⣿⣿⣿⣿⣿⣿⣿⣽⡍⠉⢆⣿⣿⣿⣷⣄⠙⢿⣿
⣿⡿⢋⠔⠁⠀⠀⠀⠀⠀⡀⠀⢀⠀⠀⠄⠈⠈⣿⣿⣿⡿⣿⡏⠀⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠉⣿⣷⡇⠸⣿⣿⣿⣿⣿⣷⡀⠙
⢫⠔⠁⠀⠀⠀⠀⠀⠀⠀⠂⠀⢘⠀⠀⠀⠀⠠⠁⣩⣭⣬⡭⠁⠈⠉⠉⠉⠉⢉⣉⣽⣿⠟⠋⠙⣿⣿⣿⣿⣿⣿⣿⣯⠙⢿⣿⡈⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠛⠛⠛⠫⡿⣿⣿⣿⣿⢠⣤⠹⢻⣿⣿⣿⣿⣿⣆
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠑⠀⠀⠀⠀⠀⠀⠛⣻⣟⡀⠀⠀⠀⠀⠀⠰⣿⠟⠋⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣄⠉⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣙⣿⣿⣿⡏⠀⠹⡠⠈⠿⠿⣟⡃⠈⠹
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠈⣽⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣷⠀⠂⠘⡄⠐⠉⠺⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢠⠊⠀⡀⠀⠀⠀⣰⣿⣿⣿⣿⡿⠿⣏⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⠧⠯⣹⠆⠀⠀⠈⠄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡐⠁⠀⠀⢇⠀⠀⣰⣿⣿⣿⣿⣿⣢⠦⢴⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⡿⠟⠉⢠⣿⣿⣿⠿⠆⠀⠀⠀⠀⠀⠀⠀⢀⠀⢄⠀⠀⢹⣿⣿⣿⣿⣿⣿⣧⢀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⠈⠀⠀⠀⠀⢸⡀⣼⣿⣿⣿⣿⡟⠉⠸⠧⢺⡯⡁⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⡿⠋⠀⠀⠀⣾⣿⣿⠏⠀⠀⠀⠀⠀⠀⣀⠄⣤⠈⢐⠢⡠⠠⠀⠹⢻⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀
⠀⠀⠀⠀⡠⠃⠀⠀⠀⠀⠀⢘⣿⣿⣿⣿⣯⡏⠀⠀⢘⠓⣺⠀⠀⠀⣠⠩⠀⡇⠀⠀⠻⣿⣿⣯⡀⠀⠀⠀⢸⣿⣿⣿⣦⣄⢀⣆⢺⠓⢋⣈⣀⣰⡆⡄⢉⡲⠀⠀⠀⠐⡿⣿⣿⣿⣿⣿⣴⡄⠀⠀⠀⠀⠀⠱⡀⠀
⠀⠀⣰⡟⠁⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⡇⠀⠀⡭⣿⣿⣿⠿⣏⣻⣿⣯⣹⣾⡂⠀⠀⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠙⣿⣿⣷⣄⠁⣴⣱⣿⣿⣻⣭⠅⢉⣟⣾⡀⠀⠨⣺⢏⡈⢻⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⢳⡀
⢀⣼⠏⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⠅⠀⠀⠀⣛⣚⣋⢃⣍⣒⣛⠭⠾⠿⠿⠂⠀⠀⢹⣿⣿⠀⠀⠠⠄⠀⠀⠀⠀⠘⣿⣿⣷⡀⠾⠾⠽⠗⠽⠬⠿⠟⠿⠿⠆⠀⠀⠐⠆⠀⠀⢿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢻
⡾⠃⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⠊⠀⠀⠀⠘⠶⠒⠃⠋⠘⣛⣯⣯⣽⣾⣾⣿⡷⢀⣼⣿⣿⣦⡀⣿⡇⣾⣽⣷⠀⠀⣿⣿⣿⣿⣿⢷⣤⣦⣴⣶⣿⣿⣿⣿⣆⠀⠀⠀⠀⡀⡀⣼⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀
⠁⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⠿⠀⠀⠀⠀⠀⢐⣬⣤⠈⠈⣿⣿⣿⣿⣿⣿⣭⣾⣿⠿⠿⠿⢟⢀⣻⡇⣿⣿⣟⣀⣾⣿⣿⣿⣯⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⠀⠀⢱⢟⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀
⠀⠀⢻⡟⠀⠀⣠⣿⣿⣿⣿⠿⠃⠀⠀⠀⠠⢴⣊⣿⣿⣏⢐⣂⣷⣿⣿⣿⣿⣭⣿⣥⣤⣴⣶⣿⣿⣿⣿⡇⣿⣿⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣔⣆⣈⣷⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀
⣧⠀⠀⠁⠀⢰⣿⣿⣿⣿⣿⡶⠀⠀⠀⢠⣰⣼⡍⣿⣛⡓⢰⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠄⠈⢻⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀
⣿⡇⠀⠀⣀⣼⣿⣿⣿⣿⡏⠀⠀⠀⠀⠈⢿⣿⣶⣹⢀⣀⡜⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀
⠝⠛⠓⢿⣿⣿⣿⣿⣿⡟⠃⠀⠀⠀⠀⢰⣿⣿⣯⠀⠘⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠨⣯⣿⠿⢿⣿⣿⣿⣿⣧⠀⠀
⠂⠀⠀⡀⣰⣯⣷⣿⣿⣿⣿⣿⣿⣿⣿⢏⣵⡿⣿⣿⡿⢷⣾⣌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣠⣶⣷⣭⣼⣿⣿⣿⣿⣿⣿⣿⢷⡶⣷⠏⢨⣿⣿⠋⣐⣿⣯⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣯⣻⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠽⢽⠇⠈⣮⣿⡿⢁⣶⣾⣯⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡩⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣷⡻⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡿⢋⣵⢿⢦⣀⢀⣘⣻⠋⢀⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣻⣽⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣿⣿⣿⡏⢠⡈⠻⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡿⢋⢔⠿⠍⠀⠈⣿⣿⡿⠁⣐⣼⣿⣿⣿⣿⣿⣿⢿⠟⣶⣿⣿⣿⣿⣿⠿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣦⡈⠻⣿⣿⣿
⣿⣿⣿⡿⢋⠔⠑⠀⠀⠀⠀⠀⠉⠛⠁⠲⣿⣿⣿⣿⣿⣿⣿⣿⡟⣚⣿⣿⣽⣷⣿⣿⣿⣿⣿⡿⠁⠀⠀⠈⣻⣿⣿⣿⣿⣿⡯⣿⣿⣿⣿⣿⣿⣾⣿⣿⡿⣻⢿⣿⣿⣿⣿⣿⣿⣿⣽⣍⠉⣦⣿⣿⣿⣷⣄⠙⢿⣿
⣿⡿⢋⠔⠁⠀⠀⠀⠀⠀⣄⠀⢀⠀⠠⠆⠁⠩⣿⣿⣿⣿⣿⣟⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⡟⠉⣿⣷⡇⠸⣿⣿⣿⣿⣿⣧⡀⠙
⢋⠖⠑⠀⠀⠀⠀⠀⠀⠀⠃⠂⢘⠀⠀⠀⠀⠡⠀⣩⣭⣽⣭⠁⠈⠉⠉⠉⠉⢉⣉⣽⣿⡿⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⠙⢿⣿⡈⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠛⠛⠛⠫⡿⣿⣿⣿⣿⢠⣤⠹⢿⣿⣿⣿⣿⡿⣆
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠑⠀⠀⠀⠀⠀⠀⠙⣻⣿⠅⠀⠀⠀⠀⠀⢰⣿⠿⠋⠁⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣆⠈⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣙⣿⣿⣿⡏⠀⠹⣂⠈⠿⠻⠿⢛⠀⠹
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣷⠀⠆⠘⡔⠐⢋⡁⠐⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢠⠊⠀⡀⠀⠀⠀⣰⣿⣿⣿⣿⣿⡛⣏⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠀⣿⣿⣿⣿⣿⣿⣿⠷⣿⡿⡆⠸⠀⠈⠄⠀⠀⠀⠀⠠
⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⢇⠀⠀⣰⣿⣿⣿⣿⡿⡶⣯⣿⣽⡇⠀⠀⠁⠀⠀⠀⢀⠀⢀⣴⣿⣿⣿⣿⡿⠛⠁⣼⣿⣿⡿⠍⠀⠀⠀⠀⠀⠀⠀⠀⢭⣇⡄⣊⣿⣿⣿⣿⣿⣿⣿⣷⠧⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⠈⠀⠀⠀⠀⢸⡀⣴⣿⣿⣿⣿⡻⢷⣟⣿⣿⡭⡁⢠⠀⡄⠀⠀⠄⠀⣠⣾⣿⣿⡿⠛⠁⠀⢠⣾⣿⣿⠏⠀⠀⠀⠀⠀⣠⡠⡀⢰⠌⣼⣻⣳⡈⠈⢾⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⢢⠀⠀⠀
⠀⠀⠀⠀⡠⠃⠀⠀⠀⠀⠀⢘⣿⣿⣿⣿⣿⡎⠡⣴⢿⣿⣿⣹⠄⢰⣾⣶⣶⣤⠄⠀⠻⣿⣿⣯⡀⠀⠀⢀⣾⣿⣿⣏⣄⡀⢠⣶⣞⢿⣾⣿⣽⢒⣳⣇⣿⢿⣆⠀⠈⣿⣿⣿⣿⣿⣿⣿⣴⡄⠀⠀⠀⠀⠀⢣⡀⠀
⠀⠀⣠⡟⠁⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⡝⢿⢿⣿⢿⣛⣿⡆⠁⠀⣿⣿⣿⡇⠀⠀⠀⠉⠙⠋⢻⣿⣿⣦⣂⣎⣾⣿⣷⣿⣿⣿⣿⣿⣓⣿⣯⢀⢺⣿⣿⣟⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⢳⡀
⣀⣼⠏⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⠟⠀⠀⢓⣛⣛⣛⢛⣛⣛⠙⠽⠿⠿⠿⠇⠀⠀⢸⣿⣿⠀⠀⠄⠆⠃⠀⠀⠀⠙⢿⣿⣷⣞⠿⠿⠿⠿⠿⠬⠿⠿⠿⠿⣿⠄⠄⠹⠿⡁⠙⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢻
⡾⠃⠀⠀⠀⠀⠀⠀⢡⣾⣿⣿⣿⣿⠏⠀⠀⠈⠹⣲⣁⣿⡿⢿⣿⣽⣧⣽⣿⣾⣿⡿⠀⣸⣿⣿⣧⢠⣿⡇⣿⣶⣾⡄⠀⢸⣿⣿⣿⣿⣧⣤⣦⣶⣾⣿⣿⣿⣿⡦⡄⠀⠀⢀⣤⡠⢾⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀
⠁⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⣣⣾⣛⣅⣭⣿⣾⣿⣿⣿⣻⣭⣶⣿⣿⣿⣿⠿⣋⣻⡇⣿⣿⣿⣋⣰⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠹⣯⣷⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀
⠀⠀⢹⡟⠀⠀⣀⣿⣿⣿⣿⠿⠋⠀⠀⠀⠠⢴⣦⣿⣿⣟⠉⣼⣿⣿⣿⣿⣯⣭⣯⣯⣄⣖⣴⣶⣿⣿⣿⡇⣿⣿⣿⣯⣭⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡵⢿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀
⣧⠀⠀⠁⠀⢠⣿⣿⣿⣿⣿⡶⠀⠀⠀⢠⡵⣾⣩⣿⣋⠥⠼⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡖⢲⢻⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀
⣿⡧⠀⠀⣠⣴⣿⣿⣿⣿⡟⠀⠀⠀⠀⠂⣿⣿⣿⣷⡖⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠰⠈⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀
⠟⠛⠓⢿⣿⣿⣿⣿⣿⠟⠃⠀⠀⠀⠀⢸⣿⣿⣟⠉⠑⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠙⣺⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀
⠂⠀⠀⡀⣴⣽⣯⣿⣿⣿⣿⣿⣿⣿⣿⢏⣵⣿⣿⣿⡿⢷⣾⣌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣠⣶⣷⣥⣿⣿⣿⣿⣿⣿⣿⣿⢷⡶⣷⠏⢡⣿⣷⠋⣀⣻⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⠽⣽⠇⠈⣉⣽⡿⢁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡹⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡿⢛⣵⣿⢦⣀⠀⣔⣻⠋⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡽⣿⣿⣿⡏⢠⡈⠻⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡿⢋⠔⠿⠏⠀⠈⣿⣷⡷⠓⣠⣼⣽⣿⣿⣿⣿⣿⣿⡗⣷⢿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣼⣿⣿⣽⣿⣿⣦⡈⠻⣿⣿⣿
⣿⣿⣿⡿⢋⠔⠁⠀⠀⠀⠀⠀⠙⠛⠁⠔⢿⢿⣿⣿⣿⣿⣿⣿⡿⣲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠊⠉⠈⠉⢻⣿⣿⣿⣿⣿⡭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⢿⣿⣿⣿⣿⣿⣿⣿⣯⣆⠋⣀⣿⣿⣿⣷⣄⠙⢿⣿
⣿⡿⢋⠔⠁⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠓⠈⠉⢹⣿⣿⣿⣿⣟⢉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣶⣶⣶⣿⣿⣿⣿⣿⣿⡧⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣟⠉⣿⣷⡇⠸⣿⣿⣿⣿⣿⣷⡀⠙
⢋⠔⠑⠀⠀⠀⠀⠀⠀⠐⠠⠀⢘⠀⠀⠀⠘⠯⠉⣩⣭⣭⣭⠁⠈⠉⠉⠉⠉⢉⣙⣩⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⡻⢿⣿⡈⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠛⠛⠛⠫⡿⣻⣿⣿⣿⢠⣄⠙⢿⣿⣿⣿⣿⡿⣆
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠓⠀⠀⠀⠀⠀⠀⠙⣻⣿⡃⠀⠀⠀⠀⠀⠠⣾⠿⠛⠉⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣇⠀⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣹⣿⣿⣿⡟⠀⠹⣂⠋⠿⣿⠿⠇⠀⠹
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠈⣹⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⣿⣿⣿⣿⣿⣿⣿⣧⠀⠆⠘⡄⠀⠊⠰⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠊⠀⡀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢁⠀⡄⢿⣽⣿⣽⣿⣿⣿⢷⣿⡣⡆⠘⢂⠘⠄⠀⠀⠀⢀⢀
⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⢇⠀⠀⣰⣿⣿⣿⣿⣿⣿⣷⣶⣾⠷⠀⠀⠀⠀⠀⠀⠀⠁⠀⣠⣾⣿⣿⣿⣿⡿⠛⢩⣿⣿⣿⠟⠁⠀⠀⠀⠀⢀⠀⢀⣤⣤⡆⠜⣿⣿⣿⣿⣿⣿⣿⣧⡇⠁⠀⠁⠂⠈⢆⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⠈⠀⠀⠀⠀⢸⡀⣼⣿⣿⣿⣿⡿⢷⣿⢿⣻⣯⠃⠀⣠⢀⠀⠀⠀⠀⢀⣴⣿⣿⣿⡿⠋⠁⠀⣴⣿⣿⡿⠃⠀⠀⠀⠀⢠⢤⡀⠄⠈⠩⡭⢁⣀⠀⢳⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀
⠀⠀⠀⠀⡠⠂⠀⠀⠀⠀⠀⢘⣿⣿⣿⣿⣟⡙⠅⢀⣿⣓⠿⣤⠐⢀⣛⢱⣠⣸⡄⠁⠻⣿⣿⣿⡁⠀⠀⢀⣼⣿⣿⣿⣀⠀⡀⣰⣆⡥⣝⢴⢋⣲⣶⣬⣿⣹⣃⠀⠐⣻⣿⣿⣿⣿⣿⣿⣴⡄⠀⠀⠀⠀⠀⢣⡀⠀
⠀⠀⣠⡟⠁⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⡇⠀⠀⣰⣽⣿⣿⡛⡽⢞⢿⣿⢯⢿⡆⠀⠀⣿⣿⣿⡇⠀⠀⠀⠉⠛⠛⢿⣿⣷⣄⠈⠸⡵⢾⢿⣿⣿⣿⣧⣾⣯⣿⡏⡨⠽⢻⣿⣿⣻⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⢳⡀
⢀⣼⠏⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⡛⠀⠀⠀⢛⣋⣝⠚⣝⣟⡻⠿⠦⠿⠵⠗⠀⠀⢸⣿⣿⡇⠀⠀⠆⠀⠀⠀⠀⠹⣿⣿⣧⠠⠿⠷⠷⠯⠿⠫⠿⠷⠿⠿⡟⠃⠐⠐⡿⡅⣹⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢻
⡾⠃⠀⠀⠀⠀⠐⠀⢠⣾⣿⣿⣿⣿⠝⠀⠀⠀⠀⡐⡋⢵⠿⣿⣿⣭⣽⣿⣿⣾⣿⣯⠆⢸⣿⣿⣧⠀⣿⡇⣿⣾⣶⡄⠀⢸⣿⣿⣿⣾⣦⣶⣶⣼⣷⣿⣿⣿⣿⣕⡄⠀⠀⢀⣤⡤⢼⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀
⠁⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⣹⢿⣿⣤⣽⣟⣿⣿⣟⣿⣛⣯⣵⣾⣿⣿⣿⣿⠅⣿⡇⣿⣿⣿⣇⣠⣾⣿⣿⠿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣾⣦⡀⡹⣷⣳⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀
⠀⠀⠻⡟⠀⠀⣠⣿⣿⣿⣿⡿⠟⠀⠀⠀⠀⣴⣿⣿⣿⢛⠻⣻⣿⣿⣿⣿⣿⣿⣻⣋⣉⣉⣀⣭⣴⣾⣿⡇⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠚⣶⣿⣿⣽⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀
⣧⠀⠀⠁⠀⢠⣿⣿⣿⣿⣿⡶⠀⠀⠠⠠⠒⣯⠬⢽⡏⠉⠔⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡆⢻⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀
⣿⡧⠀⠀⣠⣶⣿⣿⣿⣿⣟⠁⠀⠀⠀⠘⢸⣿⣼⣿⢦⣿⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠰⠛⢿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀
⡟⠛⠁⢾⣿⣿⣿⣿⣿⡟⠃⠀⠀⠀⠀⢨⣿⣿⣿⠉⢱⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡐⠀⠼⢼⣷⣿⢿⣿⣿⣿⣿⣇⠀⠀
⠂⠀⠀⠀⣰⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⢋⣱⣿⣿⣿⡿⢶⣮⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣠⣶⣷⣭⣼⣿⣿⣿⣿⣿⣿⣿⢷⡶⢷⡋⠡⣮⣿⠋⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣟
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⠭⣸⠇⠀⢀⣮⡿⠁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡹⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡻⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡿⢛⣵⠿⠦⣀⠀⣴⣾⠋⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡽⣿⣿⣿⡏⢀⡈⠻⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡿⢋⠔⠿⠄⠀⠈⣿⢷⣿⠃⣀⣔⣿⣿⣿⣿⣿⣿⣿⡷⣷⣿⣿⣿⣿⣿⣿⣿⣿⡿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣼⣿⣿⣽⣿⣿⣦⠈⠻⣿⣿⣿
⣿⣿⣿⡿⢋⠔⠁⠁⠀⠀⠀⠀⠉⠘⠁⠔⢾⣿⣿⣿⣿⣿⣿⣿⡾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠞⠉⠉⠙⢿⣿⣿⣿⣿⣿⡭⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⢿⣿⣿⣿⣿⣿⣿⣿⣯⣄⠏⢀⣿⣿⣿⣷⣄⠙⢿⣿
⣿⡿⢋⠔⠁⠀⠀⠀⠀⠀⡀⠀⢀⠀⠠⠃⠠⠀⣻⣿⣿⣿⣿⣟⢉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣠⣤⣤⣤⣾⣿⣿⣿⣿⣿⡧⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣟⠉⣿⣷⡇⠸⣿⣿⣿⣿⣿⣧⡀⠙
⢋⠔⠝⠀⠀⠀⠀⠀⠀⠀⠉⠀⢘⠄⠀⠀⠀⠩⠙⣩⣭⣽⣭⠀⠈⠉⠉⠉⠉⠙⢛⣛⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡻⣿⣿⡈⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠛⠛⠛⠫⡿⣿⣿⣿⣿⢠⡀⠘⢿⣿⣿⣿⣿⢿⣆
⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠓⠀⠀⠀⠀⠀⠀⠛⣻⣿⡁⠀⠀⠀⠀⠀⠠⣾⡿⠟⠋⠁⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣧⠀⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣙⣿⣿⣿⡟⠀⠹⡃⡈⣻⣿⡟⠋⠀⠻
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣷⡆⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⡷⠀⠆⠘⡀⠠⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠊⠀⡀⠀⠀⠀⣰⣿⣿⣿⣿⢿⠫⢏⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣻⣿⣿⠯⡻⠱⠂⠈⠄⠈⠄⠀⠀⠀⢀⣀
⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⢇⠀⠀⣰⣿⣿⣿⣿⣿⠖⣐⠮⢯⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⡿⠟⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣦⠄⠀⠀⠀⠂⠈⢆⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⠈⠀⠀⠀⠀⢸⡀⣴⣿⣿⣿⣿⠯⠉⠈⢿⢴⣶⠀⠀⠠⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⠿⠛⠁⢠⣶⣿⣿⠟⠁⠀⠀⢀⠀⢴⠠⡀⠄⠀⠠⢀⢀⠀⠉⠟⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠈⢢⠀⠀⠀
⠀⠀⠀⠀⡠⠂⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣟⠇⠀⠀⢀⡏⣶⠲⠀⠒⡬⡄⠀⣀⡆⠀⠸⣿⣿⣿⠛⠁⠀⠀⣰⣿⣿⣿⡁⠀⠀⠠⡤⡄⠅⣛⠐⠒⠲⢀⣒⡀⡁⠀⠀⠉⠄⣻⣿⣿⣿⣿⣴⡄⠀⠀⠀⠀⠀⢣⡀⠀
⠀⠀⣠⡟⠁⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⡇⠀⠀⣐⣺⣾⢿⣉⠬⢀⣽⣿⠺⢂⡆⠀⠀⢹⣿⣿⣷⠀⠀⠀⠉⠛⠿⢿⣿⣷⣄⡠⠠⢀⢱⢒⢏⣹⣻⠸⠿⣝⣀⠀⠀⠀⠌⡿⡀⢻⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢳⡀
⠀⣼⠏⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⡿⠓⠀⠀⠀⢈⣛⡊⠛⣺⣇⠼⠿⠿⠿⠯⠃⠀⠀⠘⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣆⠠⠾⢿⡯⠕⠶⠿⢜⣤⣿⡿⡆⠀⠀⠨⠗⡀⠐⢿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢻
⣾⠃⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⡿⠉⠀⠀⠀⡀⠀⠀⠀⠀⠍⠩⢫⣧⣶⣶⣧⣿⣕⣄⠀⣿⣿⣧⠀⢽⡇⣿⣤⣀⠀⠀⢹⣿⣿⣦⣤⡀⣤⣤⣶⣷⣷⢦⣾⣮⡒⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀
⠁⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⣬⣼⣿⣿⣿⣟⣟⣭⣴⣾⣿⣿⣿⡀⢺⡇⣿⣿⣿⠇⢠⣾⣿⣿⣿⣿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣕⠀⠀⠀⡇⠈⠸⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀
⠀⠀⠻⡗⠀⠀⢀⣿⣿⣿⣿⠿⠋⠀⠀⠀⡠⢄⣈⣧⣿⣄⠀⢈⣴⣿⣿⣿⣿⣿⣟⣛⣛⠋⡙⣛⢋⣡⣿⡇⣿⣿⣟⡿⣿⢿⣿⣯⣏⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠀⠀⢘⣴⣿⣏⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀
⣧⠀⠀⠁⠀⢠⣿⣿⣿⣿⣿⡆⠀⠀⠀⠨⣚⣉⣒⢱⠛⠡⠭⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀
⣿⡧⠀⠀⣀⣴⣿⣿⣿⣿⡟⠀⠀⠀⠀⠈⣨⣿⣾⡃⠘⣼⣆⣒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀
⡞⠛⠁⢾⣿⣿⣿⣿⣿⠟⠃⠀⠀⠀⠀⠠⣾⣿⡏⠈⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠈⠀⠐⢿⣿⡟⣿⣿⣿⣿⣿⣇⠀⠀
⠀⠀⠀⠀⢐⣾⣿⣶⣿⣿⣿⣿⣿⣿⡿⡋⣡⢿⣿⣿⡿⣿⣯⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣷⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣠⣴⣧⣤⣽⣿⣿⣿⣿⣿⣿⣿⢷⡲⣿⡟⠉⣨⣿⠋⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⠝⢼⠇⠀⢈⢹⡿⠉⣴⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣹⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⢟⣵⠿⢤⣀⠀⣠⢽⠚⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣟⣿⣿⣿⡏⢁⡈⠻⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡿⢛⡴⠹⠇⠀⠈⣿⣷⣿⠋⢀⣔⣿⣿⣿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡶⢿⣿⣿⣿⣿⣿⣿⣿⣷⡬⣿⣿⢽⣿⣿⣦⠈⢻⣿⣿⣿
⣿⣿⣿⡿⢋⠴⠓⠀⠀⠀⠀⠀⠉⠘⠁⠀⠹⢿⣿⣿⣿⣿⣿⣿⡾⢽⣿⣺⣿⣿⣿⣿⣷⣿⣿⣧⠿⠛⠛⠻⣿⣿⣿⣿⣿⣿⠟⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⡾⣿⣿⣿⣿⣿⣿⣿⣿⣮⣄⠟⠀⣿⣿⣿⣷⣄⠙⢿⣿
⣿⡿⢋⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⣹⣿⣿⣿⣿⡟⢁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢁⠀⣀⣀⣀⣬⣿⣿⣿⣿⣿⣯⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⣛⣷⡇⠘⣿⣿⣿⣿⣿⣦⡀⠹
⢋⡔⠟⠀⠀⠀⠀⠀⠀⠀⠈⠀⢘⠄⠀⠀⠀⠀⠠⣋⣭⣽⡏⠀⠈⠉⠉⠙⠛⠛⢛⣛⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣗⡘⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠫⡿⣻⣿⣿⣿⢡⡀⠘⢿⣿⣿⣿⣿⢿⣄
⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠊⠀⠀⠀⠀⠀⠀⠙⠻⣿⡅⠀⠀⠀⠀⠀⠀⣴⣿⠿⠟⠋⠉⠉⠻⣿⣿⣿⣿⣿⣿⣿⣷⡈⠙⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣹⣿⣿⣿⡟⠀⠹⡠⠘⠻⣿⠏⠉⠁⢳
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣼⣿⣿⣿⣿⣿⡿⢧⠀⠆⠙⡀⠈⠋⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠊⠀⡀⠀⠀⠀⣰⣿⣿⣿⣿⠿⠛⢙⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣯⣟⣻⣿⣿⠧⡇⠘⠂⠐⠂⠀⠄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡠⠁⠀⠀⢇⠀⠀⣰⣿⣿⣿⣿⣟⢐⣤⠅⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣾⣿⣿⣿⣦⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠜⠀⠀⠀⠀⢸⠀⣴⣿⣿⣿⣿⠏⠁⢠⡉⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⡿⠟⠋⣠⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠈⠙⣻⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠈⢢⠀⠀⠀
⠀⠀⠀⠀⣠⠊⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⠿⡇⠀⠀⠀⠀⣢⠀⠀⠀⠀⠀⠂⠀⠀⠀⢴⣿⣿⣿⡿⠛⠁⠀⢀⣾⣿⣿⠟⠁⠀⠀⠀⢀⠤⠈⡀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠁⠈⠿⣿⣿⣿⣴⡄⠀⠀⠀⠀⠀⢣⡀⠀
⠀⠀⣠⡶⠁⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⡿⠆⠀⠀⠐⢴⠋⡪⢄⠠⢬⢉⣱⣤⣤⠏⠀⠀⣿⣿⣿⡄⠀⠀⠐⢿⣿⣿⣿⣤⣄⡀⠠⢠⡀⠄⠾⢁⣂⢡⠌⣉⢦⡁⠀⠀⠀⢀⠊⠀⢸⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢳⡀
⠀⣴⠟⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⡿⠃⠀⠀⠀⠂⠂⠀⠀⠂⠤⠶⠀⠭⠡⠷⠆⠀⠀⢹⣿⣿⡇⠀⠀⠀⠀⠀⠉⠙⢿⣿⣿⣇⠠⠿⢯⣤⡳⠷⠄⡨⢃⣬⣽⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢳
⣾⠃⠀⠀⠀⠀⠀⠀⢨⣾⣿⣿⣿⣿⠁⠀⠀⠀⠀⠠⠀⠀⠀⢠⣁⣦⣭⣯⢤⣾⣮⣆⡄⢸⣿⣿⡇⠀⠀⡇⣤⣴⣀⠀⠈⠙⢿⣿⣶⣤⡀⠴⢤⣤⣤⣶⢶⣾⣶⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀
⠁⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⣀⡀⠀⠈⣊⣿⣿⣿⣿⣿⣟⣻⣥⣼⣿⣿⣇⠀⢸⡇⣿⣿⣿⣧⠄⢀⣸⣿⣿⣿⣿⡮⢿⣿⣷⣿⣿⣿⣿⣿⣀⠀⠀⠀⢠⠀⠘⣻⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀
⠀⠀⠰⡖⠀⠀⢠⣾⣿⣿⣿⡿⠋⠀⠀⠀⠀⠄⣤⢤⣬⠠⠀⣍⣍⣯⣿⣿⣿⠿⠟⠛⠛⠛⠛⠟⠋⢀⣿⡇⣿⣿⣿⣿⣶⣿⡿⠿⢻⡿⡿⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣶⠀⠀⠐⢤⣦⣭⣻⣿⣿⣿⣷⡀⠀⠀⠀⠀
⣧⠀⠀⠁⠀⢠⣿⣿⣿⣿⣶⡤⠀⠀⠀⠠⡊⠠⠐⢊⡠⠀⠀⢴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣾⣷⣾⣿⡇⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀
⣿⡧⠀⠀⣀⣴⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⣸⣿⣴⡄⠒⣘⣄⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠘⠿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀
⡝⠛⠁⢼⣿⣿⣿⣿⣿⠟⠃⠀⠀⠀⠀⢠⣿⣿⣏⠀⠂⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠀⠀⠀⣽⡞⠻⢿⣿⣿⣿⣿⣇⠀⠀
⠀⠀⠀⢀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⡫⣫⣿⣿⣿⡿⣿⣯⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣶⡟⣿⣿⣿⣿⣿⣿⣷⣟⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣠⣰⣶⣯⣿⣿⣿⣿⣿⣿⣿⣿⣷⡒⣿⠟⢁⣪⣿⠛⣠⣿⣾⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣟⣸⠇⠀⣸⢵⡿⠉⢴⣿⣟⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣹⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⢟⣵⠟⢤⣀⡀⣠⢿⠟⠁⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡝⣿⣿⣿⡏⢁⡘⠿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡿⢟⡵⠿⠁⠂⠈⣿⣿⣿⠋⠀⣦⣿⣿⣿⣿⣿⣿⣿⣿⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⢿⣿⣿⣿⣿⣿⣿⣿⣿⡬⣿⣿⣽⣾⣿⣆⠈⢿⣿⣿⣿
⣿⣿⣿⡿⢋⡵⠏⠀⠀⠀⠀⠀⠛⠛⠁⠈⢹⣿⣿⣿⣿⣿⣿⣿⡿⠭⣶⣒⣾⣿⣿⣷⣿⣾⣿⣧⡿⠿⠿⠿⣿⣿⣿⣿⣿⣿⢟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣮⣄⠟⠀⣿⣿⣿⣷⣄⠙⢿⣿
⣿⡿⢋⠴⠋⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠃⠀⠀⠹⣿⣿⣿⣿⡟⢓⣾⣿⣿⣿⣿⣿⡿⣿⣿⡿⢁⠀⠀⠀⢀⣸⣿⣿⣿⣿⣿⣟⣘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⣛⣧⡆⠘⣿⣿⣿⣿⣿⣧⡀⠹
⢋⡔⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⠄⠀⠀⠀⠂⠠⣋⣭⣿⡟⠀⠈⠉⠙⠛⠛⠛⢛⣛⣫⣭⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⡘⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠛⠛⠛⠫⣭⣻⣿⣿⣿⢁⠀⠙⣿⣿⣿⣿⣿⣿⣄
⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠊⠀⠀⠀⠀⠀⠀⠙⣿⣿⡧⠀⠀⠀⠀⠀⠀⢤⣿⠿⠿⠛⠉⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⡈⠙⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣻⣿⣿⣿⡿⠀⠱⡢⠨⢿⣿⡏⠍⠁⢹
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣧⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣷⣾⣿⣿⣿⣿⣿⣧⠀⠆⠑⡁⠈⠗⢂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠌⠀⡀⠀⠀⠀⣠⣿⣿⣿⣿⠿⠛⢍⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢽⣧⣾⣻⣿⣿⠯⢏⠨⠂⠀⠂⠐⠄⠀⠁⠊⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡠⠃⠀⠀⢇⠀⠀⣰⣿⣿⣿⣿⡿⡀⣀⢨⠥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣷⣦⠄⠀⠀⠀⠀⠈⢄⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠔⠀⠀⠀⠀⢸⠀⣴⣿⣿⣿⡿⠋⠉⠀⣈⣲⠥⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⠟⠛⣉⣿⣿⣿⡿⠋⠀⠀⠀⢀⠀⠀⡀⠠⢄⠀⠀⠀⠘⠛⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠈⢢⠀⠀⠀
⠀⠀⠀⠀⣠⠊⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⠃⠀⠀⠀⠐⡎⠀⠀⠠⡐⡒⠂⠀⠀⠀⣶⣿⣿⣿⠿⠛⠉⠀⣠⣾⣿⣿⠟⠋⠀⠀⠀⠠⠠⠀⠠⠀⢀⠄⢁⠀⠄⠀⠠⠀⡒⡝⢿⣿⣿⣿⣴⡄⠀⠀⠀⠀⠀⢣⡀⠀
⠀⠀⣠⡾⠁⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⡅⠀⠀⢐⢎⠒⠀⠀⠢⠤⠖⣮⡍⡴⠄⠀⠘⣿⣿⣷⡀⠀⠀⢴⣿⣿⣿⣧⣀⣀⡀⠠⢀⣁⣡⣿⢊⡉⣀⠀⠬⡛⡆⠀⠀⠀⠐⠂⠀⢹⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢳⡀
⠀⣴⠟⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠃⠀⠀⠀⠐⠁⠂⠙⠚⠈⠱⠦⠽⠽⠍⠅⠀⠀⢿⣿⣿⠃⠀⠀⠀⠈⠉⠋⢿⣿⣿⣿⡤⠬⣲⣿⣄⣨⡧⣐⣭⣤⣯⣿⣁⠀⠀⢙⠀⠀⠀⢿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢳
⣾⠋⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⠉⠀⠀⠀⠁⠐⠂⠀⠀⢀⠸⢯⣯⣯⣷⣯⣧⣤⡀⢸⣿⣿⡀⠀⠀⡇⣡⡀⠀⠀⠙⢿⣿⣿⣶⣰⣠⡆⣤⣤⣤⣶⣶⣶⣶⢄⠀⠀⠀⠀⠀⢀⢰⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀
⠁⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⡠⢀⡀⠀⠀⣙⣻⣿⣿⣿⣿⣟⣫⣥⣾⣿⣿⡇⠀⣲⡇⣿⣿⣷⣠⠀⢀⣿⣿⣿⣿⣯⠿⣿⣿⣿⣷⣿⣿⣿⣿⣶⠀⠀⠀⡄⢀⡼⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀
⠀⠀⠲⡖⠀⠀⢀⣾⣿⣿⣿⡿⠋⠀⠀⠀⢠⢄⣶⠟⢛⠤⠀⡐⣞⣿⣿⣿⣿⠿⠟⠟⡛⠛⠻⠟⠃⠠⣿⡇⣿⣿⣿⣿⣶⣿⣿⡿⠻⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠄⠀⢠⣤⣥⡼⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀
⣧⠀⠀⠁⠀⢠⣿⣿⣿⣿⣥⣄⠀⠀⠀⠀⡈⣑⠢⢂⡔⠐⠀⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⣿⣿⡇⣿⣿⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡶⠀⠌⣟⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀
⣿⡧⠀⠀⣀⣴⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣸⣷⣤⡌⠃⣽⣤⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠘⢻⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀
⡜⠛⠁⢼⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⢰⣿⣿⣏⠈⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⣿⡏⠟⣿⣿⣿⣿⣿⣇⠀⠀
⠀⠀⠀⠀⣀⣾⣿⣾⣿⣿⣿⣿⣿⣿⡿⡫⣩⣿⣿⣿⡿⢳⣯⣹⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⡟⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣠⣴⣴⣮⣿⣿⣿⣿⣿⣿⣿⣿⣷⡶⣿⠟⠫⣶⣿⠛⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡟⢸⡇⠀⢐⡿⠿⠋⣠⡷⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟
⣿⣿⣿⣿⣿⣿⣿⣿⢟⣵⠏⢤⣀⠀⣠⣾⠟⠁⣼⣿⣿⣾⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡝⣿⣿⣿⡟⢁⡈⢿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⢟⡵⠿⠁⠀⠈⣿⣾⣿⠋⢀⣼⣿⣿⣿⣿⣿⣻⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡬⣿⣿⢹⣾⣿⣆⠉⢿⣿⣿⣿
⣿⣿⣿⡿⢋⡴⠟⠀⠀⠀⠀⠀⠛⠟⠁⠈⢹⣿⣿⣿⣿⣿⣿⣿⡿⠭⣷⣒⣾⣿⣷⣶⣿⣿⣿⣓⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣗⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡞⣿⣿⣿⣿⣿⣿⣿⣿⣮⣄⠛⠀⣿⣿⣿⣷⣄⠙⢿⣿
⣿⣿⢋⠴⠉⠀⠀⠀⠀⠀⡀⠀⠀⠀⠠⠀⠌⠈⢹⣿⣿⣿⣿⡟⢓⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⠀⠀⠀⠀⣙⣿⣿⣿⣿⣿⣟⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡉⣛⣯⡄⠸⣿⣿⣿⣿⣿⣧⡀⠹
⢋⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⠄⠀⠀⠀⠀⠐⣋⣭⣿⡟⠀⠈⠉⠙⠛⠛⠛⠛⢛⣻⣿⣿⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⠘⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠂⠛⠟⠛⠻⣯⢿⣿⣿⣿⢃⡀⠹⣿⣿⣿⣿⡿⠿⣆
⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠀⠀⠀⠀⠀⠀⠛⣻⣿⡁⠀⠀⠀⠀⠀⠀⢤⣿⠿⠿⠛⠋⠙⠻⣿⣿⣿⣿⣿⣿⣿⣷⡈⠙⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣻⣿⣿⣿⡟⠀⠱⡢⠈⢿⣿⣏⠉⠀⢻
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠁⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣷⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⣿⣿⣿⣿⣿⣧⠀⠆⠑⡄⠊⠃⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠌⠀⡀⠀⠀⠀⣠⣿⣿⣿⣿⠿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡿⠻⣿⣿⠧⠃⠀⠂⠀⠂⠘⠄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡠⠃⠀⠀⢇⠀⠀⣰⣿⣿⣿⣿⣿⡆⣀⡆⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠐⣿⣿⣷⣿⣿⣷⣦⠄⠀⠀⠀⠀⠈⢄⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠔⠀⠀⠀⠀⢸⠀⣰⣿⣿⣿⣿⠟⠁⠐⣁⡉⠌⠀⠀⠀⠀⠀⠀⠀⠠⠀⣠⣶⣿⣿⣿⣿⣿⠿⠛⣉⣷⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⢀⠀⡀⠀⠀⠀⠉⢻⡿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠈⢢⠀⠀⠀
⠀⠀⠀⠀⢠⠊⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⡅⠀⠀⢀⡐⠂⠀⠀⠀⠀⠀⠀⠀⡀⢠⣾⣿⣿⣿⠿⠋⠁⠀⣠⣾⣿⣿⠟⠋⠀⠀⠀⠀⢄⡀⠀⠀⠀⠀⢰⠀⠂⠀⠀⠀⢕⢹⣿⣿⣿⣿⣤⡄⠀⠀⠀⠀⠀⢣⡀⠀
⠀⠀⣠⡾⠁⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠇⠀⠀⠐⣸⡽⢚⡀⢄⣠⣌⣤⢠⡀⠀⠀⢹⣿⣿⣧⠀⠀⢠⣾⣿⣿⣿⣁⣀⢀⠠⠀⡒⢆⠤⢀⠂⠫⣣⠀⢜⡁⠃⠀⠀⠀⢌⡃⠀⢻⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢳⡀
⠀⣴⠟⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠘⠔⠑⠚⠧⠝⠭⠷⠄⠀⠈⣿⣿⣿⠀⠀⠀⠈⠉⠙⠻⣿⣿⣿⣾⠁⠄⢤⣶⣐⡩⢳⣀⣈⣬⣽⣧⣆⠀⠀⡀⠊⢀⠀⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢳
⣾⠋⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⠋⠀⠀⢀⡀⡀⠀⠀⠈⠀⣲⣤⡭⣶⡶⣿⣾⣴⠆⢸⣿⣿⠀⠀⢠⡄⢤⠀⠀⠈⠛⢿⣿⣷⣆⣦⠠⣦⣤⣦⣶⡶⣴⣶⣶⡦⠀⠀⠀⠀⡀⢀⢰⣶⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀
⠃⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣿⣟⣭⣤⣾⣿⣿⡆⠀⢰⡇⣿⣿⣧⡄⠀⣸⣿⣿⣿⣿⡬⢺⣿⣿⣿⣿⣿⣿⣿⣾⣷⠀⠀⠀⠅⠅⠸⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀
⠀⠀⢲⡶⠀⠀⢀⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⡄⠀⢲⣫⠀⠂⢶⣝⣿⣿⣿⣿⠿⢛⠛⠛⠛⠛⠟⠃⢀⣽⡇⣿⣿⣿⣷⣶⣿⡿⠿⢻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠄⠀⠊⣂⣿⣽⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀
⣧⠀⠀⠁⠀⢠⣿⣿⣿⣯⣽⣔⠀⠀⠀⠀⢈⡀⠚⢰⡊⠄⠀⣰⣽⣿⣿⣿⣿⣿⣿⣷⣿⣿⣾⣿⣷⣿⣿⡇⣿⣿⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠈⣽⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀
⣿⡧⠀⠀⣀⣴⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⣱⣿⣡⡌⠁⢄⣀⣞⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠈⠿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀
⡝⠛⠁⢾⣿⣿⣿⣿⣿⡟⠃⠀⠀⠀⠀⢸⣿⣿⢏⠀⠀⢿⣿⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠁⣻⡽⢛⣿⣿⣿⣿⣿⣇⠀⠀
⠁⠀⠀⠀⠀⣾⣯⣯⣿⣿⣿⣿⣿⣿⡿⡋⣫⣿⣿⣿⡿⢳⣏⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣠⣰⣤⢭⣵⣿⣿⣿⣿⣿⣿⣿⣿⡶⣿⠿⢁⣓⣟⠛⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡾⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟
⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣟⣸⡇⠀⠘⠻⠟⢋⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⢟⣵⠟⢠⣀⠀⡠⢟⠟⠁⣶⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡟⣿⣿⣿⡟⢉⡘⢿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⢟⡵⠿⠁⠀⠀⣿⣿⣗⠈⠀⢈⣿⢿⣿⣿⣿⣻⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡬⣿⣿⢩⣾⣿⣆⠉⢿⣿⣿⣿
⣿⣿⣿⡿⢋⡵⠛⠀⠀⠀⠀⢀⠙⠝⠃⣀⣰⣽⣿⣿⣿⣿⣿⣿⣿⢭⣳⣾⣿⣿⣷⣾⣿⣿⣿⣃⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡜⣿⣿⣿⣿⣿⣿⣿⣿⣮⣍⡛⠀⣿⣿⣿⣷⣄⠙⢿⣿
⣿⡿⢋⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⢻⣿⣿⣿⣿⡿⢓⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⢁⠁⠀⠀⠀⢙⣿⣿⣿⣿⣿⣗⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⣙⣿⡆⠸⣿⣿⣿⣿⣿⣦⡀⠹
⢋⡴⠟⠀⠀⠀⠀⠀⠀⠀⠁⠀⢰⠄⠀⠀⠀⠀⠤⣚⣝⣿⣟⠀⠈⠉⠛⠛⠛⠛⠛⣛⣻⣿⣿⣾⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣛⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⠃⠿⠟⠛⠿⣯⢿⣿⣿⣿⢃⡰⠹⣿⣿⣿⣿⡿⣿⣄
⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠀⠀⠀⠀⠀⠀⠛⣻⢿⠅⠀⠀⠀⠀⠀⠀⢠⣾⣿⠿⠟⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣷⡉⠙⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⣿⡟⠀⠹⡆⠈⠿⣿⣿⠅⠀⢻
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠁⠀⠀⠀⠀⠀⠀⠀⠀⣩⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣴⣿⣿⣿⣿⣿⣿⣧⠀⠆⠑⡄⠊⠹⠁⢀⠀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠌⠀⡀⠀⠀⠀⢠⣿⣿⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣾⣶⣿⢿⣿⣿⠧⠝⠹⡀⠘⠂⠘⠄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡠⠃⠀⠀⢃⠀⠀⣠⣿⣿⣿⣿⣿⠆⠀⣍⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣷⣆⠀⠀⠀⠀⠀⠈⢄⠀⠐⠀⠀
⠀⠀⠀⠀⠀⠀⠔⠁⠀⠀⠀⢸⠀⣰⣿⣿⣿⣿⠛⠉⠀⠔⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⡿⠿⠛⣩⣷⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠈⢢⠀⠀⠀
⠀⠀⠀⠀⣠⠊⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⡇⠀⠀⠀⠠⠄⠀⠠⠀⠢⠄⠀⠔⠄⢰⣾⣿⣿⡿⠿⠋⠁⢀⣤⣾⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠀⠀⠀⠄⠂⠣⢹⣿⣿⣿⣿⣴⡄⠀⠀⠀⠀⠀⢣⡀⠀
⠀⠀⢠⡾⠁⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⡏⠀⠀⠀⠐⢩⠴⣈⣀⠙⢄⣰⣦⠆⠀⠀⢻⣿⣿⣦⠀⠀⣰⣿⣿⣿⣏⣀⣀⣀⢀⠀⡀⠀⠨⡪⢀⠐⠁⠅⡀⡨⡀⠀⠀⠀⠘⡑⠀⢿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢳⡀
⠀⣴⠟⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠋⠀⠀⠀⠀⠠⠭⠀⠀⠉⠀⠤⠼⠷⠈⠀⠀⠸⣿⣿⣿⠀⠀⠈⠉⠛⠛⠿⣿⣿⣿⣷⣸⠿⣂⣤⣮⣂⡀⠩⣵⣥⣼⣷⡄⠀⠀⣨⠖⠀⠈⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢳
⣾⠋⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠄⠀⠑⠢⡮⣿⡽⣦⣾⣿⡤⠀⢹⣿⣿⠀⠀⢠⡆⢠⡄⠀⠈⠛⢿⣿⣶⣶⣀⠢⣤⣤⢤⣶⣶⣶⡶⣦⣆⠀⠀⠀⠀⠀⡀⢰⣶⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀
⠃⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⢀⠀⠀⠀⠘⡹⣿⣿⣿⣿⣿⣟⣩⣤⣿⣿⣿⡇⠀⢲⡇⣿⣶⣷⡀⠀⣸⣿⣿⣿⣿⣧⢸⣿⣿⣿⣿⣿⣿⣿⣯⣤⠀⠀⠀⠀⠁⢸⢿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀
⠀⠀⢲⡖⠀⠀⢀⣾⣿⣿⣿⡿⠋⠀⠀⠀⢀⡄⠠⣑⡻⠐⠀⡐⢼⣿⣿⣿⣿⢿⢛⠛⠛⠛⠛⠛⠁⢠⣿⡇⣿⣿⣿⣷⣶⡿⢿⢟⣋⣝⣵⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⡏⠀⠀⠸⣆⣬⣽⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀
⣧⠀⠀⠁⠀⢠⣿⣿⣿⣿⣽⣄⠀⠀⠀⠀⠅⡄⠀⠀⢄⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⡇⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡆⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀
⢿⡧⠀⠀⣀⣬⣿⣿⣿⣿⡏⠁⠀⠀⠀⠀⢨⣷⣤⠌⠀⣀⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠘⢿⡿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀
⡝⠛⠁⢼⣿⣿⣿⣿⣿⡟⠃⠀⠀⠀⠀⢸⣿⣿⣏⠀⠀⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⢿⢻⠛⣿⣿⣿⣿⣿⣇⠀⠀
⠁⠀⠀⢀⢄⣜⣧⢮⣿⣯⣿⣿⣿⣿⡿⡫⣨⣿⣿⣿⡟⣷⣏⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣠⣴⣲⣮⣽⣿⣿⣿⣿⣿⣿⣿⣿⡶⢾⠿⢑⣻⣿⠟⣂⣯⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣸⡇⠀⣐⣟⡿⠃⣰⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿
⣿⣿⣿⣿⣿⣿⣿⣿⢟⣵⠟⢠⢀⢀⣤⢿⡿⢁⣺⣿⣿⣿⣽⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣿⣿⣿⡟⢉⡘⢿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⢟⡵⢿⠍⠀⠀⣿⣿⣷⠄⠀⣰⣿⣿⣿⣾⣻⣿⣯⣟⣻⣽⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡜⡿⣿⢹⣾⣿⣆⠙⢿⣿⣿⣿
⣿⣿⣿⡿⢟⡵⠋⠀⠀⠀⠀⠀⠙⠛⠃⠀⣶⣿⣿⣿⣿⣾⣿⣿⣿⠗⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⣿⣿⣿⣿⣿⣿⣿⣿⣶⠌⠛⠀⣿⣿⣿⣷⡄⠙⢿⣿
⣿⡿⢋⡤⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢂⢩⡟⢻⣿⣿⣿⣿⡿⣂⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⢋⠁⠀⠀⠀⠹⣿⣿⣿⣿⣿⣷⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⣙⣺⠆⠰⣿⣿⣿⣿⣿⣦⡀⠹
⢋⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠄⠀⠀⠀⠀⠀⣋⣽⣿⣟⠀⠈⠙⠛⠛⠛⠛⢚⣛⣿⣿⣿⣼⣤⣶⣶⣶⣿⣿⣿⣿⣿⣿⣛⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠿⠥⠿⠟⠻⠿⣯⣟⣿⣿⣿⢁⣰⢹⣿⣿⣿⣿⠿⢿⣄
⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠀⠀⠀⠀⠀⠀⠝⣿⣿⡁⠀⠀⠀⠀⠀⠀⣴⣿⣿⡿⠿⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣧⠉⠻⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⡟⠀⠻⡆⠉⣻⣿⣻⡉⠁⢛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣶⣿⣿⣿⣿⣿⣿⣧⠀⠆⠑⡄⠀⠻⠋⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠌⠀⠀⠀⠀⠀⢠⣾⣿⣿⣷⣿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣶⣿⣿⣿⣿⣿⠿⡏⠰⠄⠀⠂⠘⠄⠀⠀⠐⠂⠀
⠀⠀⠀⠀⠀⠀⠀⡠⠃⠀⠀⢇⠀⠀⣰⣿⣿⣿⣿⣿⠇⠄⡠⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠈⢄⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠔⠁⠀⠀⠀⢸⠀⣰⣿⣿⣿⣿⡿⠃⢄⠢⠔⠋⠀⠀⠀⠀⠀⠀⠀⠐⠀⣠⣶⣿⣿⣿⣿⣿⡿⠟⣻⣷⣿⣿⡿⠟⠃⠀⠀⡀⠀⠀⠀⠈⠠⠢⠀⠀⠙⢿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠈⢢⠀⠀⠀
⠀⠀⠀⠀⢠⠊⠀⠀⠀⠠⠀⠠⣿⣿⣿⣿⠟⠇⠀⠀⣌⢸⢣⣀⠀⢀⢠⠠⡀⠰⠂⣴⣾⣿⣿⣿⠿⠛⠉⢀⣤⣾⣿⣿⠿⠋⠀⠀⠀⠀⠀⢀⠀⢀⠐⠀⡔⠀⠦⠀⠀⠘⣕⢻⣿⣿⣿⣿⣴⡄⠀⠀⠀⠀⠀⢣⡀⠀
⠀⠀⢠⡾⠁⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⡏⠄⠀⢀⠨⠑⢦⠂⠄⠖⣶⣟⡀⠎⠀⠈⣿⣿⣿⡄⠀⠀⣴⣿⣿⣿⣏⣁⣀⢀⣤⣘⡀⠠⠰⠊⢐⠫⣇⠐⣲⣳⡁⠁⠀⠠⠽⣽⠈⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢳⡀
⠀⣴⠟⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠃⠀⠀⠀⠀⠌⠅⠂⠂⠻⠳⠹⠻⠏⠠⠀⠀⠸⣿⣿⡇⠀⠀⠉⠙⠛⠛⠿⣿⣿⣿⣿⣯⣿⣯⣷⣿⣵⣘⣱⣮⣖⣿⣿⣗⡀⣀⣀⡰⠀⢘⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢳
⣾⠋⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⡿⠉⠀⠀⠀⠀⠒⠒⠁⠑⢷⠒⢟⡽⣽⣿⣿⣿⡴⠀⣻⣿⣧⠀⠀⢈⡆⣤⣀⠀⠉⠛⠿⣿⣷⣶⣶⣶⣖⣦⣴⣶⣶⣶⣶⣶⣄⠀⠀⠀⠀⣀⢠⢴⣾⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀
⠃⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⣀⢒⠀⢠⠬⢴⣿⣿⣿⣿⣛⣥⣶⣿⣿⣿⡄⠀⢹⡇⣿⣿⣧⣆⠀⣠⣿⣿⣿⣿⣷⣻⣿⣿⣿⣿⣿⣿⣿⣿⣝⣀⠀⠀⡤⣑⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀
⠀⠀⢲⡖⠀⠀⢀⣾⣿⣿⣿⣿⠛⠀⠀⠀⢠⣄⢀⣷⣿⡖⠀⠓⣿⣿⣿⣿⣟⣛⣛⢋⢉⣉⡙⡋⣅⣠⣿⡇⣿⣿⣿⠷⣶⡿⢿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⠀⢒⣻⣾⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀
⣧⠀⠀⠃⠀⢠⣿⣿⣿⣿⣭⡤⠀⠀⠀⠀⢘⣘⠲⢸⠌⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠄⠐⢿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀
⣿⡧⠀⠀⣀⣬⣿⣿⣿⣿⠯⠁⠀⠀⠀⠀⢸⣷⣶⠚⠁⡐⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡆⠀⠈⠾⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀
⡝⠛⠁⢼⣿⣿⣿⣿⣿⠟⠃⠀⠀⠀⠀⢰⣿⣿⠇⠉⠀⠯⢿⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⣿⡾⠟⣿⣿⣿⣿⣿⣇⠀⠀
⠁⠀⠀⠀⢀⣆⣵⣖⣿⣧⣿⣿⣿⣿⡿⡋⠨⣿⢷⣿⡟⣷⣍⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣀⣠⣤⣮⣽⣿⣿⣿⣿⣿⣿⣿⣿⡶⣾⠿⢉⣿⣿⠟⣢⣾⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣟⣸⡇⠀⣀⣿⡿⠃⣰⣿⣯⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿
⣿⣿⣿⣿⣿⣿⣿⣿⢟⣵⠟⢠⣀⢀⣤⢹⠾⢁⣴⣿⣿⣿⣽⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⡟⢉⡘⢿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⢟⡵⠿⠉⠀⠈⣿⣿⣷⠁⢀⢨⣿⣿⣿⣾⣻⣿⣯⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘⣻⣿⣩⣾⣿⣆⠉⢿⣿⣿⣿
⣿⣿⣿⡿⢟⡵⠋⠀⠀⠀⠀⠀⠙⠛⠃⠀⣾⣿⣿⣿⣿⣾⣿⣿⣏⢗⣿⡿⣿⣿⢿⣿⣿⣿⣿⣏⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⣿⣿⣿⣿⣿⣿⣿⣿⣶⠭⠛⠈⣿⣿⣿⣷⡄⠙⢿⣿
⣿⡿⢋⡤⠊⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠃⠉⣽⣻⣿⣿⣿⣿⡿⣂⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢉⠁⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⣙⣚⠂⠸⣿⣿⣿⣿⣿⣦⡀⠹
⢋⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠄⠀⠀⠈⠀⠄⣛⣹⣿⡟⠃⠈⠙⠛⠛⠛⠛⢛⣛⣿⣿⣿⣴⣤⣶⣶⣶⣿⣿⣿⣿⣿⣿⣛⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠿⠥⠿⠿⠻⠿⣯⢟⣿⣿⣿⢃⣐⢹⣿⣿⣿⣿⠿⢿⣄
⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠪⠀⠀⠀⠀⠀⠀⠙⢻⣿⡁⠀⠀⠀⠀⠀⠀⣴⣿⣿⡿⠿⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣧⠉⠛⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⡿⠀⠻⡆⡉⣫⣻⣋⠀⠈⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣴⣷⣿⣿⣿⣿⣿⣧⠀⠆⠑⡀⠀⢻⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠌⠀⠀⠀⠀⠀⢠⣾⣿⣿⣷⡿⠿⠛⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⢿⣿⣿⠧⡟⠱⠄⠀⠀⠐⠄⠀⠀⠀⠠⠀
⠀⠀⠀⠀⠀⠀⠀⡠⠃⠀⠀⢇⠀⠀⣠⣿⣿⣿⣿⣿⠁⢤⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠈⢄⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠔⠁⠀⠀⠀⢸⠀⣰⣿⣿⣿⣿⡿⠉⠀⡂⣐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⡿⠟⣻⣷⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⠀⠙⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠈⢢⠀⠀⠀
⠀⠀⠀⠀⢠⠊⠀⠀⠀⠀⠄⠠⣿⣿⣿⣿⡻⠇⠀⠀⠌⣒⣒⠀⠀⠀⠠⠠⠠⢀⠀⣤⣾⣿⣿⣿⠿⠛⠉⢁⣴⣾⣿⣿⠿⠋⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠂⢀⠈⠉⡿⣿⣿⣿⣿⣴⡄⠀⠀⠀⠀⠀⢣⠀⠀
⠀⠀⢠⡾⠁⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⡟⠀⠀⠀⢤⣳⠆⠂⢄⠴⣤⣔⣐⣖⠀⠘⣿⣿⣿⡄⠀⠀⣴⣿⣿⣿⣏⣁⣀⣠⣤⡠⣣⣀⡒⠁⠠⠆⠂⠀⠀⠡⠑⠀⠀⠀⠸⠑⠐⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢳⡀
⠀⣴⠟⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⡿⠏⠀⠀⠀⠀⠐⠉⠱⠄⠸⠥⠟⠹⠿⠔⠀⠀⠸⣿⣿⡇⠀⠀⠉⠙⠛⠛⠿⣿⣿⣿⣿⣽⣿⣧⣷⣧⣤⣂⣯⣄⣀⣿⣷⡀⢀⣀⡀⢀⠈⠈⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢳
⣾⠋⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠙⠖⠃⠁⢪⢚⣟⣭⣵⣽⣿⣧⡤⠂⣻⣿⣧⠀⠀⢰⡆⣀⣀⠀⠈⠛⠻⣿⣷⣶⣶⢴⡄⣴⣶⣶⣶⣶⣶⣶⡤⠀⠀⠀⠀⠀⠀⢰⣾⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀
⠃⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢦⣿⣿⣿⣿⣛⣥⣶⣿⣿⣿⠄⠀⣿⡇⣿⣿⣶⣤⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣬⡀⠀⠀⢁⠀⠺⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀
⠀⠀⢲⡖⠀⠀⢀⣾⣿⣿⣿⡿⠓⠀⠀⠀⢀⡠⣄⢺⡿⣤⠀⢀⣡⣾⣿⣿⣛⣛⡛⣉⢉⣉⣩⢍⣀⣀⣿⡇⣿⣿⣿⠷⠶⡿⣿⣟⣏⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢠⠀⠑⣥⣾⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀
⣇⠀⠀⠃⠀⢀⣿⣿⣿⣿⣩⡄⠀⠀⠀⠀⠋⠉⡶⠔⢺⠈⠀⣰⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠈⢼⣻⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀
⣿⡧⠀⠀⣀⣤⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⣸⣿⣶⡄⠀⡐⣂⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡆⠀⠀⠽⢿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀
⡝⠛⠁⢼⣿⣿⣿⣿⣿⡟⠃⠀⠀⠀⠀⢰⣿⣿⣟⠁⠀⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠈⢿⠿⠟⣿⣿⣿⣿⣿⣇⠀⠀
⠁⠀⠀⠀⢀⢴⣧⣿⣽⣿⣿⣿⣿⣿⡿⡫⣨⠿⡿⣿⡿⣳⣌⣙⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣀⣴⣼⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⡦⢾⠦⠈⡠⣿⠿⢠⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣏⣺⡇⠀⢀⡀⠘⠇⣰⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⢟⣱⠿⢠⢀⢀⡤⠺⠇⢀⣴⣿⣿⣿⣿⣿⣿⣿⡭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⡟⢉⡘⢿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⢟⡵⠻⠍⠀⠀⣿⣿⣟⠀⠀⣄⣿⣿⣿⣾⣿⣿⣿⣗⣻⣽⣿⣿⣿⣿⣿⣿⣿⣿⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘⣻⣿⢹⣼⣿⣆⠉⢿⣿⣿⣿
⣿⣿⣿⡿⠟⡱⠋⠀⠀⠀⠀⠀⠸⢟⠃⠀⡈⣿⢿⣿⣿⣿⣿⣿⣝⢗⣿⣽⣿⣿⢿⣿⣿⣿⣿⣏⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣩⣿⣿⣿⣿⣿⣿⣿⣿⣷⠬⠻⠈⣿⣿⣿⣷⡄⠙⢿⣿
⣿⣿⢏⡥⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢈⡹⣿⣿⣿⣿⣿⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣾⠍⠁⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣋⣙⣚⡂⢰⣿⣿⣿⣿⣿⣦⡀⠻
⢋⡴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠄⠀⠀⠀⠀⠀⣛⣋⣿⣛⠁⠈⠛⠛⠛⠛⠛⢛⣛⣿⣿⣷⣴⣤⣶⣶⣶⣿⣿⣿⣿⣿⣿⣛⠘⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⠅⠿⠟⠛⠻⣯⣟⣿⣿⣿⢃⢀⢘⣿⣿⣿⣿⡿⠿⣄
⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠪⠀⠀⠀⠀⠀⠀⠛⢻⣿⠅⠀⠀⠀⠀⠀⠀⣴⣿⣿⠿⠿⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠉⠛⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡿⠀⠹⡆⠉⣻⣛⡛⠁⠀⠺
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣴⣾⣿⣿⣿⣿⣿⣧⠀⠄⠑⡀⠁⠘⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠌⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⠛⠟⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣽⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣶⣧⣿⣿⣿⣿⠿⠯⠋⠆⠀⠀⠀⠄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡠⠂⠀⠀⢃⠀⠀⣠⣿⣿⣿⣿⣿⢂⢀⣜⠙⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣷⣆⠂⠀⠀⠃⠀⠈⢆⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠔⠁⠀⠀⠀⢸⠀⣰⣿⣿⣿⣿⠟⠉⠀⠈⠑⠀⠀⠀⠀⠀⠀⠀⠀⡀⠂⣠⣴⣿⣿⣿⣿⣿⡿⠿⣻⣿⣿⣿⣿⠟⠃⠀⠀⠀⠀⠄⠄⡀⠀⠀⠀⠀⠙⠛⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠈⢢⠀⠀⠀
⠀⠀⠀⠀⢠⠊⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣟⡃⠀⠀⠸⡀⣠⠀⠀⠀⡀⠄⡀⢀⡂⣤⣾⣿⣿⣿⠿⠛⠉⢁⣴⣾⣿⣿⠿⠛⠁⠀⠀⠀⠀⠄⠀⠄⠀⠀⠔⠄⠀⠀⠀⠀⠠⢹⣿⣿⣿⣿⣴⡄⠀⠀⠀⠀⠀⢣⡀⠀
⠀⠀⢠⡾⠁⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⡍⠀⠀⠀⢸⠄⠃⠀⠂⠤⣿⡍⣯⡅⠂⠈⣿⣿⣿⡅⠀⠀⣴⣿⣿⣯⣏⣁⣀⢀⡀⢀⡀⠅⢚⣸⣳⣗⡳⠓⠿⣆⣟⠀⠀⠀⠒⠄⠀⢹⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢳⡀
⠀⣴⡟⠀⠀⠀⠀⠀⠈⢁⣾⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠁⠯⠷⠿⠿⠋⠾⠇⠀⠀⠸⣿⣿⡏⠀⠀⠉⠙⠛⠻⢿⣿⣿⣿⣿⡿⣾⣷⣯⣭⣲⣀⣜⣵⣸⣿⣿⣀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢳
⣾⠋⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⡁⠀⠀⠀⠈⠉⠉⠉⠀⠊⡁⣰⣯⣿⣿⣿⣧⡀⠀⢹⣿⣷⠀⠀⣠⡄⣀⡀⠀⠈⠙⢿⣿⣿⣶⣶⣶⢶⣶⣶⣶⣶⣶⡖⣶⣄⠀⠀⠀⠀⠀⠀⢲⣷⣿⣿⣿⡃⠂⠀⠀⠀⠀⠀
⠃⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⡀⠀⣠⠠⠠⠍⢹⣿⡿⣿⣟⣋⣥⣶⣿⣿⣿⡇⠀⣻⡇⣿⣟⣇⡄⠀⣼⣿⣿⣿⣿⡿⠛⣿⣿⣿⣿⣿⣷⣿⣿⣄⡀⠀⠀⠀⡀⢘⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀
⠀⠀⢲⡶⠀⠀⢀⣾⣿⣿⣿⡿⠉⠁⠀⠀⣀⡀⣠⡂⣧⠳⠁⢰⣬⣽⣿⣿⣿⣛⡋⣉⢉⣉⣉⣉⢄⣠⣾⡇⣿⣿⣯⠷⠾⠿⣿⣛⣭⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠓⣪⣷⣾⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀
⣧⠀⠀⠃⠀⢀⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠈⠕⠉⠫⢞⠀⠀⢴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠆⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀
⣿⡦⠀⠀⣀⣤⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⢺⣿⣿⡁⠀⣀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡄⠐⠀⣿⣿⣿⣿⣿⣿⣿⣿⣧⠐⠀⠀
⡝⠛⠁⠼⣿⣿⣿⣿⣿⠟⠃⠀⠀⠀⠀⢰⣿⣿⣧⠁⠈⠬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠈⢿⡿⣟⣿⣿⣿⣿⣿⣇⠀⠀
⠁⠀⠀⠀⢠⣺⣽⣿⣿⣿⣷⣿⣿⣿⡿⡫⣨⢻⣿⢿⡿⣷⣌⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣀⣰⣼⣤⣽⣿⣿⣿⣿⣿⣿⣿⣿⣢⢿⠞⢈⢰⣚⠿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⢻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣏⣺⡇⠀⢦⡁⠙⠇⣰⣿⣯⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿
⣿⣿⣿⣿⣿⣿⣿⣿⢟⣡⠫⢠⢠⢀⣖⣾⠝⠀⣼⣿⣿⣿⣿⣿⣿⣿⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⡟⢉⡘⢿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⢟⡵⢺⠏⠀⠀⣿⣿⣽⠈⠀⣰⣿⣿⣯⣾⣿⣿⣿⣗⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘⣻⣿⢹⣼⣿⣆⠙⢿⣿⣿⣿
⣿⣿⣿⣿⠟⡱⠛⠀⠀⠀⠀⠀⠙⠳⠃⠀⡶⢽⢿⣿⣿⣿⣿⣿⣝⢞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⢿⣿⣿⣿⣿⣿⣿⣿⣷⠮⠻⠘⣿⣿⣿⣷⣄⠙⢿⣿
⣿⣿⢏⡥⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡬⠤⠤⣿⣿⣿⣿⣷⢠⣼⣿⢿⣿⣿⣿⣿⣿⣿⣾⡉⠁⠀⠀⠀⢻⣿⣿⣿⣿⣿⣯⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣼⣿⣿⣿⣿⣿⣿⣋⣙⣒⡂⠰⣿⣿⣿⣿⣿⣦⡀⠻
⢋⡴⠏⠀⠀⠀⠀⠀⠀⠀⠐⠀⢰⠄⠀⠀⠀⠀⠐⣛⣙⣻⡛⠁⠈⠋⠛⠛⠛⠛⣛⣛⣿⣿⣷⣴⣤⣶⣶⣶⣿⣿⣿⣿⣿⣿⣛⠘⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠿⠿⠿⠿⣯⣝⣿⣿⣿⢃⢀⡘⣿⣿⣿⣿⡿⢿⣄
⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠪⠀⠀⠀⠀⠀⠀⠻⢻⣿⠅⠀⠀⠀⠀⠀⠀⣴⣿⣿⠿⠿⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠉⠛⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣸⣿⣿⣿⣿⠀⠹⡧⠹⠛⣛⡛⠁⠀⠺
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡼⣶⣿⣿⣿⣿⣿⣷⠀⠄⠙⡀⠉⠹⠍⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠌⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⠿⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⣮⣪⣿⣿⣿⠗⠟⠣⠆⠐⠀⠐⠄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡠⠂⠀⠀⢃⠀⠀⣠⣿⣿⣿⣿⡿⠀⠠⠰⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠐⠁⠀⠀⠀⢸⠀⣰⣿⣿⣿⣿⠟⠁⠀⠀⠄⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣠⣶⣿⣿⣿⣿⣿⡿⠟⣻⣿⣿⣿⣿⠟⠓⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠘⢿⢻⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠈⢢⠀⠀⠀
⠀⠀⠀⠀⢀⠊⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⡿⠇⠀⠀⢠⢀⡀⠌⠀⠀⠀⠨⠀⠠⠂⣴⣾⣿⣿⣿⠿⠛⠉⢁⣴⣿⣿⣿⠿⠋⠁⠀⠀⠀⠐⠀⠀⠀⠀⠀⠈⠄⠄⠀⠀⠀⠈⡿⣿⣿⣿⣿⣴⡄⠀⠀⠀⠀⠀⢣⡀⠀
⠀⠀⢠⡶⠃⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⡟⠀⠀⠀⠐⠇⠂⠤⠐⢀⣐⢎⠒⠀⠀⠈⣿⣿⣿⡄⠀⠀⣴⣿⣿⣯⣏⣁⣀⢀⢀⣀⡀⠀⠘⠩⠀⠂⠠⠠⠆⠓⠂⠀⠀⠀⠘⠃⠀⢹⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢳⡀
⠀⣰⡟⠀⠀⠀⠀⠀⠈⢁⣾⣿⣿⣿⣿⠗⠀⠀⠀⠀⠒⠙⠁⠀⠰⠷⠽⠵⠿⠦⠀⠀⠘⣿⣿⣗⠀⠀⠉⠙⠛⠛⢿⣿⣿⣿⣿⡿⣿⣶⣮⣭⣲⣂⣀⣀⣘⣵⣿⡁⠀⠀⠐⠂⡀⠈⢿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢳
⣾⠋⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⡏⠀⠀⠀⠉⠉⠉⠉⠁⠁⠀⢲⣯⡿⣿⣿⣤⣤⠀⢸⣿⣿⡀⠀⣀⡆⢀⠀⠀⠈⠙⢻⣿⣷⣶⣶⡶⢶⣴⣦⢶⣦⣶⣖⣶⡆⠀⠀⠀⠀⠀⠀⢰⣷⣿⣿⣷⡃⠂⠀⠀⠀⠀⠀
⠃⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠈⢀⢀⢀⠺⢻⣿⣿⣛⣟⣋⣭⣶⣿⣿⣿⡇⠀⣿⡇⣾⣻⣧⡄⠀⣼⣿⣿⣿⣿⠟⠘⣿⣿⣷⣷⣿⣟⣿⣯⡄⠀⠀⠀⠀⡀⠸⢿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀
⠀⠀⢲⡶⠀⠀⢀⣾⣿⣿⣿⡿⠃⠀⠀⠀⢀⡄⣦⡏⢤⠱⠂⠁⣦⣺⣿⣿⣽⣟⣉⣍⢉⠉⢉⣉⡅⣀⣼⡇⣿⣿⣯⠶⠾⢿⣿⣫⣱⣶⣵⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⢀⢋⣾⡿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀
⣧⠀⠀⠋⠀⢀⣿⣿⣿⣿⣯⣆⠀⠀⠀⠀⠉⠩⢉⡠⢤⠀⠄⢍⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡆⡄⠀⢻⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀
⣿⡧⠀⠀⣀⣴⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⣸⣿⣖⠐⠀⠀⢂⢭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠐⠈⠛⣿⣿⣿⣿⣿⣿⣿⣧⠐⠀⠀
⡝⠛⠁⢼⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⢰⣿⣿⡷⠀⠐⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠈⡿⡯⠉⢿⣿⣿⣿⣿⣇⠀⠀
⠁⠀⠀⠀⢀⢶⣳⣾⣿⣿⣿⣿⣿⣿⡿⡻⣩⡽⣿⣿⠿⣳⣌⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡝⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣀⣴⣼⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⢾⠞⢋⠹⣻⡹⢬⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣏⣺⡇⠀⣐⡃⠽⠋⢠⡿⣝⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠟⣡⠏⢠⢀⣀⣎⣫⡉⠀⠸⣿⣯⣯⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡿⣿⣿⣿⡟⢉⡘⢿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⢟⡥⠾⠎⠀⠀⣿⣯⣿⠃⠀⣄⣿⣷⣿⣾⣿⣽⣟⡛⠝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠮⢿⣿⢹⣼⣿⣆⠉⢿⣿⣿⣿
⣿⣿⣿⣿⠟⡱⠋⠀⠀⠀⠀⠀⠘⠝⠃⠀⡚⣿⣷⣽⣿⣿⣿⣿⡶⣋⣿⣿⣾⣿⣿⣿⣿⣿⣿⡯⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⠯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡞⠛⠈⣿⣿⣿⣷⣄⠙⢿⣿
⣿⣿⢏⡥⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡙⡡⣿⣿⣿⣿⣿⠉⣭⡿⣿⣿⣿⣿⣿⣿⣷⡿⠉⠉⠀⠀⠈⢻⣿⣿⣿⣿⣿⡯⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣏⣘⣗⡂⠰⣿⣿⣿⣿⣿⣦⡀⠹
⢋⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠄⠀⠀⠀⠀⠘⣛⣙⣻⣟⠁⠘⠛⠛⠛⠛⠛⢛⣛⣿⣿⣷⣴⣤⣴⣶⣶⣿⣿⣿⣿⣿⣿⣛⠘⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠿⠿⠿⠿⣯⣝⣿⣿⣿⢃⠈⡛⣿⣿⣿⣿⣿⠿⣄
⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠪⠁⠀⠀⠀⠀⠀⠙⢻⣿⠅⠀⠀⠀⠀⠀⠀⣴⣿⣿⠿⠿⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠉⠛⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡿⠀⠹⡧⠙⠟⣟⡛⠃⠀⢻
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⣺⣿⣷⡆⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣴⣷⣿⣿⣿⣿⣿⣷⠀⠆⠑⡁⠉⠹⠍⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠌⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⠿⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢯⣯⣟⣿⣿⣿⠟⠿⠿⡆⠈⠀⠐⠄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⠀⢃⠀⠀⣠⣿⣿⣿⣿⣿⢂⠠⠠⠐⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⢿⣿⣿⣿⣿⣷⣦⠂⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠐⠁⠀⠀⠀⢸⠀⣰⣿⣿⣿⣿⠟⠋⠈⠁⢖⠐⠀⠀⠀⠀⠀⠀⠀⡀⠀⣠⣾⣿⣿⣿⣿⣿⡿⠿⣻⣷⣿⣿⣿⠟⠃⠀⠀⠠⠀⠀⡀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠈⢢⠀⠀⠀
⠀⠀⠀⠀⢀⠊⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⢿⡋⠀⠀⠐⣀⡚⢄⠀⠀⠀⠀⠐⠀⠃⣴⣾⣿⣿⣿⠿⠛⠉⢀⣴⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⡋⠄⠀⠀⠀⢌⣻⣿⣿⣿⣿⣴⡄⠀⠀⠀⠀⠀⢣⡀⠀
⠀⠀⢠⡶⠃⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠇⠀⠀⠀⡰⣭⡇⠁⣤⣑⣶⣤⣴⡆⠀⠈⢿⣿⣿⡆⠀⠀⣼⣿⣿⣿⣏⣁⣀⢀⣀⣀⣄⠩⠉⠌⠨⠄⠴⠚⢳⣊⢁⠀⠀⠀⡈⣽⠁⢹⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⢳⡀
⠀⣰⡟⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠫⠀⠀⠀⠀⠐⠃⠀⠚⠶⠮⠿⠏⠧⠷⠀⠀⠘⢿⣿⣿⠀⠀⠉⠙⠛⠹⢿⣿⣿⣿⣿⣽⣾⣷⣦⣼⣠⣨⣤⣎⣸⣿⣿⣄⡀⠀⠀⡀⠀⠀⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢳
⣾⠋⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⡋⠀⠀⠀⠁⠙⠉⠉⠙⠩⠓⣲⣿⣿⣿⣿⣶⣤⡆⢸⣿⣿⡆⠀⢠⡄⡀⠀⠀⠉⠙⢻⣿⣷⣶⣶⣶⢶⣶⣶⣶⣶⣶⣶⣶⡦⡀⠀⠀⠀⠀⠠⢶⣾⣿⣿⣿⡃⠄⠀⠀⠀⠀⠀
⠃⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠯⠀⠀⠀⠀⠈⢀⡄⡀⡀⢀⣢⣻⣿⣷⢻⣛⣋⣭⣶⣾⣿⣿⣿⠀⣼⡇⣿⣿⣷⡄⠀⣼⣿⣿⣿⣿⡿⠚⣿⣿⣿⣿⣿⣿⣿⣯⣅⡀⠀⠀⠐⡄⠘⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀
⠀⠀⠲⡶⠀⠀⢀⣾⣿⣿⣿⡿⠋⠀⠀⢀⣀⠄⣴⣵⣶⡞⠹⠷⣇⣘⣿⣿⣿⡯⡩⣉⣉⣉⣉⣉⡉⣀⣾⡇⣿⣿⣯⡶⠾⠿⣿⣛⣫⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⢢⣗⣾⣾⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀
⣧⠀⠀⠋⠀⢀⣿⣿⣿⣿⣯⡄⠂⠀⠀⠈⠉⠀⠨⢥⠀⠠⠀⠈⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀
⣿⡧⠀⠀⣀⣴⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⣸⣿⣦⡎⠈⣀⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⣻⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀
⡜⠛⠁⢼⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⢰⣿⣿⣯⠁⠀⢶⣾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀⠀⢿⠯⡝⣿⣿⣿⣿⣿⣇⠀⠀
⠁⠀⠀⠀⠠⢲⣯⢿⣿⣷⣿⣿⣿⣿⡿⡻⣫⣿⣿⣿⢿⣿⣌⣻⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣀⣴⣮⣨⣽⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⡞⢊⣾⣿⡷⢩⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣋⣺⡇⠀⢤⠀⠹⠋⢰⡻⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠟⣡⢯⢠⢀⢄⠄⠛⡍⠁⠰⣷⣿⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡹⣿⣿⣿⡟⢉⡘⢿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⢟⡵⠾⠁⠀⠀⣿⡯⡟⠀⠀⢼⣿⣷⣿⣾⣯⣽⣟⡒⠝⣟⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠮⢿⣿⢹⣼⣿⣆⠉⢿⣿⣿⣿
⣿⣿⣿⡿⢟⡵⠋⠀⠀⠀⠀⢀⠉⠙⠀⠀⢀⡭⠿⣿⣿⣿⣿⣿⡶⣋⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⠯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠈⣿⣿⣿⣷⣄⠙⢿⣿
⣿⣿⢋⡥⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡴⣖⣿⣿⣿⡿⢿⠉⣿⡷⣿⣿⣿⣿⣿⣿⣾⡿⠣⠉⠀⠀⠈⢻⣿⣿⣿⣿⣿⡯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⢿⣿⣿⣿⣿⣿⣿⣏⣘⣗⡂⠰⣿⣿⣿⣿⣿⣦⡀⠹
⢋⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠂⢸⠄⠀⠀⠀⠀⠐⣊⣙⣻⣟⠁⠘⠛⠛⠛⠛⠛⡛⣛⣻⣿⣷⣴⣤⣴⣶⣶⣿⣿⣿⣿⣿⣿⣛⠘⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠿⠿⠿⠿⣯⣝⣿⣿⣿⢃⠈⡛⣿⣿⣿⣿⣿⠿⣄
⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠪⠁⠀⠀⠀⠀⠀⠙⢻⣿⠅⠀⠀⠀⠀⠀⠀⣴⣿⣿⡿⠿⠟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠉⠛⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⠹⣿⣿⣿⡿⠀⠹⡇⠘⠛⣛⠟⠃⠀⠹
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠁⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣶⣷⣿⣿⣿⣿⣿⣷⠀⠆⠑⡁⠉⢉⠍⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠌⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⡿⠛⠛⠃⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢵⣦⡽⢿⣿⣿⠷⠟⠁⠆⠘⠀⠘⠄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡠⠂⠀⠀⢃⠀⠀⣠⣿⣿⣿⣿⣿⡀⠀⠂⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠈⣿⣿⣿⣿⣿⣷⣆⠌⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠔⠁⠀⠀⠀⢸⠀⣰⣿⣿⣿⣿⠟⠉⠈⣄⠨⡁⠀⠀⠀⢠⠀⠀⠀⡠⠂⣠⣶⣿⣿⣿⣿⣿⡿⠿⣻⣿⣿⣿⣿⠿⠋⠀⠀⠠⠀⠀⠀⠀⣀⠀⠀⠀⠘⠛⡿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠈⢢⠀⠀⠀
⠀⠀⠀⠀⢀⠊⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⡿⠏⠀⠀⠒⠱⠉⣂⠀⢄⣒⠂⠤⠠⠂⣴⣾⣿⣿⣿⠿⠛⠉⢁⣴⣾⣿⣿⡿⠛⠁⠀⠀⡀⠀⠀⠠⠄⠐⠀⢀⠲⠄⠀⠀⠀⠈⠻⢿⣿⣿⣿⣴⡄⠀⠀⠀⠀⠀⢣⡀⠀
⠀⠀⢠⡾⠃⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⠷⠀⠀⠀⡒⡸⠂⣂⢀⣀⣯⣟⢢⡄⠀⠈⢿⣿⣿⣄⠀⠀⣴⣿⣿⣿⣍⣁⣀⢀⣠⣀⡀⠤⠀⠐⠀⠶⢤⠀⣤⠢⠅⠀⠀⠀⠐⠆⠀⢹⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢳⡀
⠀⣰⡟⠀⠀⠀⠀⠀⠀⢂⣾⣿⣿⣿⣿⠟⠀⠀⠀⠀⠸⠂⠠⠿⠶⠪⠿⠟⠿⠧⠀⠀⠘⢿⣿⣿⠀⠀⠉⠙⠛⠛⠿⣿⣿⣿⣿⡿⣿⣿⣵⣮⣯⣑⣲⣊⣘⣥⣽⣄⠀⠀⠀⠈⠀⠈⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢳
⣼⠋⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⡏⠀⠀⠀⠉⠋⡉⠉⠁⡐⢓⣪⣭⡭⣿⣿⣷⣶⣦⠘⣿⣿⡆⠀⣢⡄⣀⠀⠀⠉⠙⠻⣿⣷⣶⣶⣶⢶⣦⣶⣶⣶⣶⣶⣶⡆⠀⠀⠀⠀⡀⡀⣲⣶⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀
⠃⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⢀⡀⠀⢠⢤⠊⢻⣶⣾⢿⣟⣻⣭⣴⣾⣿⣿⣿⠀⣿⡇⣿⣿⣷⡄⠀⣴⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠁⠀⣚⢿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀
⠀⠀⠰⡶⠀⠀⢀⣾⣿⣿⣿⡿⠋⠀⠀⠀⢀⠀⢰⡖⠒⠘⠓⠿⡴⣻⣿⣿⣿⣯⢉⣉⣍⣉⡉⡉⣉⢀⣾⡇⣿⣿⣿⠶⠾⠿⣿⣿⣿⣿⣷⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⡦⢀⠀⠀⣲⣵⣼⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀
⣧⠀⠀⠋⠀⢀⣿⣿⣿⣿⣯⡠⠀⠀⠀⠀⠉⢀⠚⠋⠡⠁⠀⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀
⣽⡧⠀⠀⣀⣴⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⣹⣿⣶⡎⠁⠒⣂⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠘⠻⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀
⡝⠛⠁⢽⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⢠⣿⣿⣷⠀⠀⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⡿⡿⣿⣿⣿⣿⣿⣇⠀⠀
⠁⠀⠀⠀⠀⣢⣾⣿⣽⣷⣷⢿⣿⣿⡿⡻⣫⣾⢿⣿⢿⣿⣌⣛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣷⣞⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣀⣰⣬⣬⣽⣿⣿⣿⣿⣿⣿⣿⣿⣢⢾⠾⢋⣺⣿⡟⢩⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿
⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣏⣸⡇⠈⢢⣄⠽⠋⢰⣿⣝⢿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣟
⣿⣿⣿⣿⣿⣿⣿⣿⠟⣱⡿⢠⢠⢀⣶⣻⡛⠀⣼⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡽⣿⣿⣿⡟⢉⡘⢿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⢟⡵⢾⠅⠀⠀⣿⣿⡟⠃⢀⣼⣻⣾⣿⣾⣿⣿⣿⡿⢽⣿⣿⣿⣿⣿⣿⣭⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠮⢿⣿⢹⣼⣿⣆⠉⢿⣿⣿⣿
⣿⣿⣿⡿⢟⡱⠋⠀⠀⠀⠀⠀⠙⡻⠃⠀⢌⣟⣿⣿⣿⣿⣿⣿⣶⣫⣿⣿⡿⢿⣿⣿⣿⣿⣿⠷⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡛⠻⠈⣿⣿⣿⣷⣄⠙⢿⣿
⣿⣿⢏⡥⠊⠀⠀⠀⠀⠀⡀⠀⠀⠁⠀⢩⠙⡧⢯⣿⣿⣿⡿⣿⠉⣿⡷⣾⣿⣿⣿⣿⣿⣿⣿⠱⠉⠀⠀⠈⢹⣿⣿⣿⣿⣿⡯⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⢿⣿⣿⣿⣿⣿⣿⣏⣘⣗⡂⢰⣿⣿⣿⣿⣿⣦⡀⠹
⢋⡴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠄⠀⠀⠀⠀⠙⣛⣉⣻⣟⠉⠘⠛⠛⠛⠛⠛⡛⣛⣿⣿⣯⣤⣤⣤⣶⣶⣿⣿⣿⣿⣿⣿⣛⠐⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠿⠿⠿⠿⣯⣝⣿⣿⣿⢃⢘⠙⢿⣿⣿⣿⣿⣿⣄
⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠪⠀⠀⠀⠀⠀⠀⠙⢻⣿⠅⠀⠀⠀⠀⠀⠀⣴⣿⣿⡿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠉⠛⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡿⠀⠹⡇⠘⠛⣛⡛⠁⠀⠹
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⠀⠄⠑⡀⠈⢻⠍⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠌⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⡿⠛⠛⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣷⣮⣭⣿⣿⣿⠟⠏⠩⠆⠘⠂⠘⠄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⠀⢃⠀⠀⣠⣿⣿⣿⣿⣿⠂⠀⠒⢒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⣿⣿⣷⣆⠊⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠐⠁⠀⠀⠀⢸⠀⣰⣿⣿⣿⣿⡿⠗⠀⣄⠄⠀⠀⠀⠀⠀⠄⠀⠀⡀⠀⣠⣶⣿⣿⣿⣿⣿⣿⠿⣻⣿⣿⣿⣿⠿⠋⠀⠀⠠⠀⠀⠀⠀⠠⠀⠀⠀⠙⢻⡿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠈⢢⠀⠀⠀
⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣿⡏⠀⠀⢶⢾⡗⠀⠀⠀⠀⠀⠐⠀⠅⣴⣾⣿⣿⣿⠿⠛⠉⢁⣴⣾⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠄⡾⣿⣿⣿⣿⣴⡄⠀⠀⠀⠀⠀⢣⡀⠀
⠀⠀⢠⡶⠃⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⡏⠀⠀⠀⣈⢧⡀⡀⢀⣀⣷⣇⣒⡄⠀⠈⢿⣿⣿⣆⠀⠀⣴⣿⣿⣿⣭⣁⣀⣀⡀⣠⣀⠛⠁⠀⡄⠂⠀⠂⠔⢀⣲⠀⠀⠀⠠⠾⠄⢹⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢳⡀
⠀⣰⡟⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠇⠀⠀⠀⠀⠠⠉⠌⠽⠿⠠⠵⠿⠿⠻⠄⠀⠘⢿⣿⣿⠀⠀⠈⠉⠛⠉⠿⣿⣿⣿⣿⡽⢳⣶⣾⣫⣦⣇⣁⣣⣉⣿⣿⣅⠀⠀⠈⡈⠀⠀⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢳
⣼⠋⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠏⠀⠀⠀⠙⠉⠉⠁⠘⢘⡀⢝⣯⣽⣯⣯⣷⣷⣦⠘⣿⣿⡆⠀⣰⡆⢀⢀⠀⠈⠙⠻⣿⣿⣶⣶⣶⣖⣶⣲⣶⣶⡶⣶⣶⣆⠀⠀⠀⠀⠀⠀⢶⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀
⠃⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⢀⢀⢄⣀⠌⠓⡳⣷⣿⢻⣛⣛⣭⣵⣾⣿⣿⣿⠀⣻⡇⣾⣗⣟⡂⠀⣰⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣥⠀⠀⠀⣀⠠⢜⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀
⠀⠀⢲⡶⠀⠀⢀⣾⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⢤⠢⣠⠏⠀⠨⣶⣻⣿⣿⣯⣯⡍⣉⣉⣉⣉⣉⣉⣀⣾⡇⣿⣿⣿⡵⠾⠿⣿⣿⣿⣴⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⢡⣽⣼⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀
⣧⠀⠀⠃⠀⢀⣿⣿⣿⣿⣯⡁⠀⠀⠀⠀⠉⢁⠰⠨⠀⠁⠀⢠⣾⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀
⣿⡧⠀⠀⣀⣤⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⢹⣿⡄⠔⠀⠂⢐⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀
⡜⠛⠁⢼⣿⣿⣿⣿⣿⣟⠃⠀⠀⠀⠀⢭⣿⣿⡥⠀⠠⢶⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠐⢽⡿⠛⣿⣿⣿⣿⣿⣇⠀⠀
⠀⠀⠀⠀⠠⠦⣾⣿⣿⣧⣷⣿⣿⣿⡿⡻⣫⠿⣿⣿⣿⢿⣍⣛⣻⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣀⣴⣬⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣢⢾⠿⠋⣧⣿⡧⣡⡿⢟⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿
⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣫⣺⡇⠀⢀⣏⢛⠋⢠⣻⣻⣟⣻⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠟⣱⢿⢢⢀⣀⣜⡻⠧⠁⣺⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡽⣿⣿⣿⡟⢉⡈⢿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⢟⡵⠾⠍⠀⠀⣿⣿⣟⠃⠀⢥⣻⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣘⢿⣿⢹⣼⣿⣆⠉⢿⣿⣿⣿
⣿⣿⣿⣿⢟⡱⠋⠀⠀⠀⠀⠀⠘⠿⠂⡀⣺⣽⣿⣿⣿⣿⣿⣓⡾⣭⣷⣿⣿⣿⣿⣿⣿⣿⣿⡗⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⠿⠈⣿⣿⣿⣷⣄⠙⢿⣿
⣿⣿⢏⡥⠊⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠐⠰⢝⣿⣿⣿⣿⣿⣟⢋⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⠅⠁⠀⠀⠈⢻⣿⣿⣿⣿⣿⣗⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣏⣘⣿⡆⢐⣿⣿⣿⣿⣿⣧⡀⠻
⢋⡴⠋⠀⠀⠀⠀⠀⠀⠀⠉⠀⢸⡄⠀⠀⠀⠀⠸⢛⣉⣻⣛⠉⠘⠉⠛⠛⠛⠛⠛⣛⣿⢿⣯⣤⣤⣤⣤⣴⣾⣿⣿⣿⣿⣿⣛⠀⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠿⠿⠿⠿⣯⣽⣿⣿⣿⢃⢘⠹⢿⣿⣿⣿⣿⡿⣄
⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠪⠁⠀⠀⠀⠀⠀⠙⢻⣿⠁⠀⠀⠀⠀⠀⠀⣴⣿⣿⡿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠙⠛⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⠀⠹⣞⠈⠻⠻⠛⠋⠀⢹
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣼⣷⣿⣿⣿⣿⣿⣿⠀⠆⠑⡄⠠⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠌⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⡿⠟⠛⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣻⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣦⣜⣿⣿⣿⠿⡛⠹⠆⠘⠀⠈⠄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡠⠂⠀⠀⢃⠀⠀⣠⣿⣿⣿⣿⣿⠃⠈⠂⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⡀⠀⠈⣿⣿⣿⣿⣿⣷⣆⠂⠀⠀⠀⠂⠈⢆⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠔⠁⠀⠀⠀⢸⠀⣰⣿⣿⣿⣿⡿⠃⢉⠉⠄⠀⠀⠀⠀⠠⠄⠀⠀⠠⠀⣠⣶⣿⣿⣿⣿⣿⣿⠿⣻⣿⣿⣿⣿⡿⠋⠀⠀⠀⡀⠀⠀⠀⠀⠄⠀⠀⠙⠿⠿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠈⢢⠀⠀⠀
⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⡟⠗⠀⠀⣄⠖⠄⠀⠀⠀⠤⠐⠒⠀⠂⣴⣾⣿⣿⣿⠿⠛⠉⢁⣴⣾⣿⣿⡿⠟⠁⠀⠀⠀⣀⡠⠀⠀⠄⠀⢀⢠⡅⠀⠀⠈⠀⠽⢿⣿⣿⣿⣴⡄⠀⠀⠀⠀⠀⢣⡀⠀
⠀⠀⢠⡶⠃⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⡷⠀⠀⠀⠶⣺⠎⢒⠀⡄⢤⡗⣲⣄⡀⠈⢻⣿⣿⣆⠀⠀⣴⣿⣿⣿⣭⣁⣀⡀⣀⢤⣤⠘⠁⠀⠀⠒⣄⡀⠿⡁⢃⠐⠀⠀⠠⡤⠉⢹⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢳⡀
⠀⣴⡟⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠋⠀⠀⠀⠀⠢⠐⠒⠿⠪⠦⠞⠟⠿⠿⠀⠀⠈⢿⣿⣿⠀⠀⠈⠉⠛⠙⠿⢿⣿⣿⣿⣿⢿⣂⣾⣻⣤⣆⣦⣢⣀⣿⣽⣃⠀⠀⠀⡀⡀⠀⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠈⢳
⣼⠋⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⡃⠀⠀⠀⠙⠉⠋⠉⠉⢁⠝⢿⣭⣭⣿⣿⣿⣆⣦⠘⣿⣿⡆⠀⣢⡄⢀⠀⡀⠀⠉⠛⣿⣿⣶⣶⣶⡖⣶⣶⣶⣶⣶⣶⣶⡆⠀⠀⠀⠀⠀⢀⣶⣾⣾⣿⣿⡃⠀⠀⠀⠀⠀⠀
⠃⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠿⠁⠀⠀⠀⠀⢀⠀⣤⢨⣀⣍⣽⣿⣿⢻⣛⣛⣭⣵⣶⣿⣿⣿⠀⣿⡇⣿⣿⣿⡄⠀⣴⣿⣿⣿⣿⣿⠗⣿⣿⣿⣿⣷⣿⣿⣷⣄⠀⠀⠀⣀⠀⢘⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀
⠀⠀⢲⡶⠀⠀⢀⣾⣿⣿⣿⣿⠋⠀⠀⠀⠀⠐⢤⣰⡟⠇⠈⣿⣯⣿⣿⣿⣯⣯⣍⣩⣩⣉⣉⣙⣉⡀⣿⡇⣿⣿⣿⣖⣚⠛⣛⣿⣭⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⣄⣈⣺⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀
⣧⠀⠀⠋⠀⢀⣿⣿⣿⣿⣿⣐⠀⠀⠀⠐⣊⠈⠀⠡⢁⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⠀⠈⢺⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀
⣯⡧⠀⠀⣀⣴⣿⣿⣿⣿⡿⠃⠀⠀⠀⠂⣸⣿⣽⠂⠀⡀⣂⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠐⠈⡛⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀
⡟⠛⠁⢼⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⢡⣿⣿⡕⠁⠘⠾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠙⠋⠙⣿⣿⣿⣿⣿⣇⠀⠀
⠁⠀⠀⠀⢀⢤⣷⣿⣿⣿⣿⣿⣿⣿⡿⡻⣫⣿⣿⣿⣿⢿⣍⣻⣻⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣀⣰⣼⣬⣽⣿⣿⣿⣿⣿⣿⣿⣯⣲⢾⡞⢉⣡⣽⡇⣡⣾⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿
⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣏⣺⡇⠀⢰⣤⢛⠋⣰⣿⣻⣗⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠟⣡⠿⢢⢀⢀⠈⠶⠮⠀⣺⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣯⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡽⣿⣿⣿⡟⢉⡈⠿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⢟⡵⢾⠅⠀⠀⣿⣿⣿⠃⠀⣰⣻⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣯⣭⣿⢿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣘⣿⣿⢹⣼⣿⣆⠉⢿⣿⣿⣿
⣿⣿⣿⣿⢟⡱⠋⠀⠀⠀⠀⠀⠘⠟⠃⠄⠠⣽⣿⣿⣿⣿⣿⣛⡿⣵⣿⣛⣿⣿⣿⣿⣿⣿⣿⡟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⢷⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⠿⠈⣿⣿⣿⣷⣄⠙⢿⣿
⣿⣿⢏⡥⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠍⠊⢈⣿⣿⣿⣿⣟⢓⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠅⠁⠀⠀⠈⢻⣿⣿⣿⣿⣿⣗⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣏⣈⣿⡇⢰⣿⣿⣿⣿⣿⣦⡀⠹
⢋⡴⠋⠀⠀⠀⠀⠀⠀⠀⠒⠂⢸⠄⠀⠀⠀⠀⠁⣋⣉⣻⣏⠉⠈⠙⠛⠛⠛⠛⠓⣛⣿⣿⣯⣀⣤⣤⣤⣴⣾⣿⣿⣿⣿⣟⣛⠀⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠏⠿⠿⠿⠿⣫⣽⣿⣿⣿⢃⢘⠸⢿⣿⣿⣿⣿⣿⢄
⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠪⠁⠀⠀⠀⠀⠀⠙⢿⣿⠅⠀⠀⠀⠀⠀⠀⣴⣿⣿⣷⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠙⠛⠿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡹⣿⣿⣿⣿⠀⠹⣖⠈⠻⠿⠟⠟⠀⠻
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠁⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣷⡄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣮⣷⣿⣿⣿⣿⣿⣷⠀⠂⠑⡄⠠⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠌⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⡿⠟⠛⠂⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣻⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢶⣦⣟⣿⣿⣿⠟⡛⠨⠆⠐⠀⠈⠄⠀⠀⠄⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡠⠂⠀⠀⢣⠀⠀⣠⣿⣿⣿⣿⣿⠅⡀⠲⡈⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣷⣆⠂⠐⠀⠀⠀⠈⢆⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠐⠁⠀⠀⠀⢸⠀⣰⣿⣿⣿⣿⠿⠣⡁⡁⠀⣄⡀⠀⢀⢀⡠⠀⠄⡀⠂⣠⣶⣿⣿⣿⣿⣿⣿⠿⣻⣿⣿⣿⣿⡿⠛⠀⠀⣀⣠⠀⠀⠀⠀⠀⠀⠀⠉⠻⠻⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠈⢢⠀⠀⠀
⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⡻⠏⠀⠀⠥⠤⠪⠉⠀⠀⠐⠄⡀⠠⠇⣴⣾⣿⣿⣿⠿⠛⠉⢁⣴⣾⣿⣿⡿⠟⠋⠀⠀⢀⡐⠀⠁⠀⠀⠀⣀⠂⠀⠀⠀⠀⡀⣫⣿⣿⣿⣿⣴⡄⠀⠀⠀⠀⠀⢣⡀⠀
⠀⠀⢠⡾⠃⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⠏⠀⠀⠀⡝⣿⢟⡛⣂⣀⣊⣑⣒⣤⠅⠈⢻⣿⣿⣆⠀⠀⣼⣿⣿⣿⣭⣁⣀⣀⣀⣄⣔⣖⣊⢛⡦⣀⡤⠄⠪⣈⡁⡂⠀⠀⠀⡂⠀⢹⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⢳⡀
⠀⣰⡟⠁⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠏⠀⠀⠀⠀⠨⠿⠺⠻⠕⠲⠥⠟⠿⠷⠀⠀⠈⢿⣿⣿⠀⠀⠈⠉⠛⠛⠿⣿⣿⣿⣿⣾⣽⣯⣶⣾⣐⣛⣲⣦⣐⣿⣽⣀⠀⠀⠀⢀⡀⠀⣻⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢳
⣼⠋⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⡏⠀⠀⠀⡘⠉⠉⠀⠁⠂⣶⣾⣿⡭⣿⣿⣷⣦⣤⠘⣿⣿⣆⠀⢲⡄⢀⠀⣀⠀⠉⠙⣿⣿⣷⣶⣶⣶⣦⣶⣦⣶⢶⡶⢶⣆⡀⠀⠀⠀⡀⠠⢶⣶⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀
⠃⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠿⠁⠀⠀⠁⠀⠀⠀⠀⠀⢠⣻⣿⣿⣿⢻⣛⣛⣭⣵⣶⣿⣿⣿⠀⣾⡇⣿⣿⣼⡤⠀⣴⣿⣿⣿⣿⣿⡳⣿⣿⣿⣿⣓⣿⢿⣿⡇⠀⠀⠀⠛⡁⠚⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀
⠀⠀⢲⡶⠀⠀⢀⣾⣿⣿⣿⡿⠟⠀⠀⠀⠀⠠⡔⡹⠀⣏⠃⠭⣟⣿⣿⣿⣯⣯⣉⣉⣩⣍⣉⣙⣿⣀⣽⡇⣿⣿⣿⣞⣛⣛⣛⣿⣿⣿⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠸⢎⣑⣽⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀
⣧⠀⠀⠋⠀⢀⣿⣿⣿⣿⣭⡔⠂⠀⠀⢠⠛⣅⠉⢸⣚⠠⢀⣽⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⢺⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀
⣿⡧⠀⠀⣀⣴⣿⣿⣿⣿⡟⠁⠀⠀⠀⠐⣸⣿⣄⠜⠃⣢⣄⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀
⡽⠛⠁⢽⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⢠⣿⣿⡎⠀⠀⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠨⠻⠟⣿⣿⣿⣿⣿⣇⠀⠀
⠀⠀⠀⢀⢠⣠⣳⣿⣿⣿⣷⢿⣿⣿⡿⡻⣫⢿⣿⣿⡿⢿⣍⣻⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣀⡰⣾⣨⣽⣿⣿⣿⣿⣿⣿⣿⣿⣲⣾⠟⠉⣬⣾⠏⣡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿
⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣏⡾⡇⠀⠀⠮⢓⠫⣀⣿⣿⣟⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡹⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣻⣟
⣿⣿⣿⣿⣿⣿⣿⣿⠟⣱⣿⢢⢠⣀⢄⢺⠇⢁⢺⣿⣷⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡽⣿⣿⣿⡟⠉⡈⠿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⢟⡵⢾⠍⠀⠀⣿⣯⡧⠊⠀⣲⣟⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢽⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘⣻⣿⢹⣼⣿⣦⠉⢿⣿⣿⣿
⣿⣿⣿⣿⠟⡱⠛⠀⠀⠀⠀⠀⠙⠛⠁⠀⣐⠺⢿⣿⣿⣿⣿⣿⡿⢵⣿⣛⣿⣿⡿⣿⣿⣿⣿⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣷⣟⣿⣿⣿⣿⣿⣿⣿⣿⣷⣛⠿⠈⣿⣿⣿⣷⣄⠙⢿⣿
⣿⣿⢋⡥⠊⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢀⡲⠹⠚⢿⣿⢿⣿⡿⠓⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⠅⠀⠀⠀⠉⢿⣿⣿⣿⣿⣿⣗⢚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣇⣈⣿⡇⢸⣿⣿⣿⣿⣿⣦⡀⠹
⢋⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠂⠰⠄⠀⠀⠀⠀⠀⢛⣉⣻⡟⠁⠈⠙⠛⠋⠙⠛⠓⣛⣿⢿⣏⣀⣤⣤⣤⣴⣾⣿⣿⣿⣿⣟⣛⠀⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⠏⠿⠿⠿⠿⣯⣽⣿⣿⣿⢇⢘⠙⢿⣿⣿⣿⣿⡿⢆
⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠪⠁⠀⠀⠀⠀⠀⠛⢿⣿⠁⠀⠀⠀⠀⠀⠀⣴⣿⣿⣷⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠙⠛⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⠀⠹⡖⠈⠻⠻⠟⠏⠀⠹
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣴⣶⣿⣿⣿⣿⣿⠷⠀⠆⠘⡄⠠⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠌⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⡿⠛⠛⠁⠨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣹⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⣦⣦⣜⣿⣿⣿⠇⠋⢪⠄⠐⠀⠀⠄⠀⠀⠄⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡠⠂⠀⠀⢡⠀⠀⢠⣿⣿⣿⣿⣿⠂⡀⡆⢶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣷⣆⠉⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠔⠁⠀⠀⠀⢸⠀⣰⣿⣿⣿⣿⡿⠓⢈⠍⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⠿⣻⣿⣿⣿⣿⡿⠛⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠹⡿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠈⢢⠀⠀⠀
⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⡿⡃⠀⠀⡾⡗⣲⢍⠀⠀⠈⠰⠀⠠⠄⣴⣾⣿⣿⣿⠿⠛⠉⢁⣴⣾⣿⣿⣿⠟⠋⠀⠀⢀⡀⠈⠀⠀⠀⠀⠠⣂⠀⠀⠀⠰⠀⠿⢿⣿⣿⣿⣴⡄⠀⠀⠀⠀⠀⢣⡀⠀
⠀⠀⢠⡶⠃⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⡯⠀⠀⠀⠚⣫⢋⢭⢀⣀⠄⡤⣶⣂⠀⠀⢻⣿⣿⣆⠀⠀⣼⣿⣿⣿⣭⣅⣀⣠⣀⣀⣤⣲⣘⠁⢆⡐⠄⠄⢁⣭⢨⠀⠀⢀⠠⠔⠀⢸⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⢳⡀
⠀⣰⡟⠁⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⡿⠇⠀⠀⠀⠀⠐⠍⠝⠧⠯⠭⠲⠚⠻⠷⠂⠀⠈⢿⣿⣿⠀⠀⠈⠉⠛⠉⠻⠿⣿⣿⣿⣿⣾⣿⣄⣠⣿⣓⣤⣜⣂⣷⣿⣫⠀⠀⠁⣁⠀⠀⢿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢳
⣼⠏⠀⠀⠀⠀⡀⠀⢀⣾⣿⣿⣿⣿⠏⠀⠀⠀⠬⠉⠉⠉⠁⠋⣿⣿⣭⣯⣭⣿⣷⣯⣦⠈⣿⣿⡦⠀⢠⡆⣠⠀⡀⡀⠈⠉⢻⣿⣿⣷⣶⡖⣶⣶⡶⣶⣶⣶⣶⡂⠀⠀⠀⠀⠀⢀⢶⣶⣾⣿⣿⡃⠀⠀⠀⠀⠀⠀
⠃⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠛⠀⠀⠀⠀⠀⢀⠉⠀⠀⠀⣽⣷⣿⣿⢻⣛⣛⣭⣷⣾⣿⣿⣿⠀⣿⡇⣿⣿⣷⠇⢀⣰⣿⣿⣿⣿⡻⠟⣻⣿⣿⣿⣿⣿⣿⣷⡅⠀⠀⠀⠹⡀⠝⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀
⠀⠀⢲⡶⠀⠀⢀⣾⣿⣿⣿⣿⠋⠀⠀⠀⢀⡀⠠⡾⠟⠂⠒⣪⣯⣿⣿⣿⣯⣯⣍⣩⣭⣭⣉⣉⣍⡀⣽⡇⣿⣿⣿⣾⣛⣛⣛⣿⣿⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠆⢲⢿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀
⣧⠀⠀⠋⠀⢀⣿⣿⣿⣿⣯⡠⠄⠀⠀⠀⠩⣠⠚⠩⡤⠂⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠛⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀
⣿⡣⠀⠀⣀⣴⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⢲⣿⣴⡄⠂⣀⣠⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠽⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀
⡟⠛⠁⢼⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⢰⣿⣿⣷⠈⠀⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠈⠩⢩⡛⣿⣿⣿⣿⣿⣇⠀⠀
⠁⠀⠀⠀⢀⢀⣦⣽⣿⣿⣿⣿⣿⣿⡿⡫⣫⠿⣿⣿⡿⢿⣍⣻⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣀⡰⣼⣄⣹⣿⣿⣿⣿⣿⣿⣿⣯⣲⢾⠟⠁⣨⣿⠏⣂⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣏⣺⡇⠀⠀⣦⢗⠋⢠⣟⣿⣟⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠟⣡⡿⢠⢀⢀⢀⢶⠿⠁⠴⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡽⣿⣿⣿⡟⠉⡈⠿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⢟⡵⢾⠇⠀⠀⣿⢾⣿⠛⠀⠶⢿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘⣻⣿⢹⣼⣿⣦⠉⢿⣿⣿⣿
⣿⣿⣿⣿⠟⡱⠊⠉⠀⠀⠀⠀⠙⠟⠃⠀⣸⣿⣿⣿⣿⣿⣿⣿⡿⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣷⡛⠿⠈⣿⣿⣿⣷⣄⠙⢿⣿
⣿⣿⢏⡥⠊⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢈⢐⠋⡝⣿⣿⣿⣿⡿⢓⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣷⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣿⣿⣿⣿⣿⣏⣀⣿⡇⠰⣿⣿⣿⣿⣿⣧⡀⠹
⢋⡴⠋⠀⠀⠀⠀⠀⠀⠀⠠⠂⠸⠄⠀⠀⠀⠀⠘⣛⣙⣻⣟⠃⠈⠉⠛⠉⠙⠛⡓⣛⣿⢿⣟⣀⣠⣤⣤⣴⣾⣿⣿⣿⣿⣟⣛⡀⠛⠛⠛⠛⠛⠛⠛⠛⠛⠿⠏⠿⠿⠿⠿⣯⣽⣿⣿⣿⢇⢈⠉⣿⣿⣿⣿⣿⠿⢆
⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠪⠁⠀⠀⠀⠀⠀⠛⢿⢿⠁⠀⠀⠀⠀⠀⠀⣴⣿⣿⣷⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⠻⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⠀⠹⡤⠈⠿⠿⠿⠋⠁⠻
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣿⣿⣿⣿⣿⣿⠀⠆⠘⡄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠌⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⡿⠟⠛⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣹⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⢽⣦⣽⢿⣿⣿⠷⡋⠙⡆⠐⠀⠐⠄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⠀⢡⠀⠀⢠⣿⣿⣿⣿⣿⢁⠀⣖⡚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⣷⣆⠉⠈⠀⠀⠀⠈⢆⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠐⠁⠀⠀⠀⢸⠀⣰⣿⣿⣿⣿⡟⠫⠀⡈⠀⠁⠀⠀⠀⠀⠀⠀⢀⠄⠀⣠⣴⣿⣿⣿⣿⣿⣿⠿⢛⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠙⡿⢻⣿⣿⣿⣿⣇⠄⠀⠀⠀⠀⠈⢢⠀⠀⠀
⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⡿⡗⠀⠀⢊⣠⡆⣄⠀⠀⡑⡢⠠⠤⠀⣴⣾⣿⣿⣿⠿⠛⠉⢁⣴⣾⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⡂⠀⠀⢨⠄⡀⠀⠀⠀⠁⣹⢿⣿⣿⣿⣴⡄⠀⠀⠀⠀⠀⢣⡀⠀
⠀⠀⢠⡾⠃⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⡿⠀⠀⠀⢄⣯⣇⡙⣠⣀⣼⣆⣴⡤⠄⠀⢻⣿⣿⣦⠀⠀⣼⣿⣿⣿⣭⣥⣠⣤⣀⣠⣠⣀⣀⠀⢰⡕⠠⡀⣩⣦⣶⡀⠀⠀⠊⢡⠈⢹⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢳⡀
⠀⣰⡟⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠃⠀⠀⠀⠀⠘⠇⠡⠷⠶⠴⠿⠟⠻⠷⠀⠀⠈⢿⣿⣿⠀⠀⠈⠉⠛⠋⠻⠿⢿⣿⣿⣿⣿⣿⢿⣿⣷⣔⣔⣊⣸⣿⣿⣄⡀⡀⠀⢀⢀⠈⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢳
⣼⠏⠀⠀⠀⠀⡀⠀⢀⣾⣿⣿⣿⣿⡅⠀⠀⠀⠈⠘⠋⠌⠙⠬⣿⣿⡽⣿⣿⣿⣷⣶⣶⢈⣿⣿⡆⠀⣠⡆⣠⣀⠠⠀⠀⠈⠉⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⡆⠀⠀⠀⠀⠀⠀⢲⣶⣿⣿⣷⡃⠀⠀⠀⠀⠀⠀
⠃⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⡛⠀⠀⠀⠀⠈⠀⠀⢁⣀⢴⣿⣿⣿⣿⢛⣛⣛⣭⣶⣾⣿⣿⣿⠂⣿⡇⣿⣿⣿⡗⢀⣠⣾⣿⣿⡿⡟⢛⣿⣿⣿⣿⣿⣿⣿⣷⣧⠀⠀⠀⠁⠌⠹⢿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀
⠀⠀⢲⡶⠀⠀⢀⣾⣿⣿⣿⣿⠋⠀⠀⠀⠀⡀⣠⡯⣿⠍⠨⣪⡿⣿⣿⣿⣯⣯⣉⣉⣩⣍⣉⣭⣭⣠⣾⡇⣿⣿⣿⣶⣍⣉⣭⣭⣿⣿⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠄⠀⠹⣹⢹⣻⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀
⣧⠀⠀⠋⠀⢀⣿⣿⣿⣯⣽⡄⠄⠀⠀⠀⢍⣆⠙⡛⠃⠀⠀⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⠀⢀⢛⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀
⣿⡣⠀⠀⣀⣴⣿⣿⣿⣿⡟⠁⠀⠀⠀⠐⣸⣷⣴⡌⠈⣒⣂⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠠⠿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀
⡜⠛⠁⢼⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⢠⣿⣿⡿⠁⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠘⣛⢿⡟⢿⣿⣿⣿⣿⣇⠀⠀
⠁⠀⠀⠀⠄⣀⣴⣿⣿⣿⣿⣿⣿⣿⡿⣟⣫⢿⣿⣿⡿⢿⣍⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣀⡴⣼⣄⣼⣿⣿⣿⣿⣿⣿⣿⣯⣲⣾⡟⢁⣔⣽⠋⣃⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣥⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣫⣺⡇⠀⠀⠠⠹⠆⣠⣿⣾⣻⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣷⡻⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠟⣡⠿⢠⢀⠀⠀⠚⠙⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣟⣿⣿⣿⡟⠉⡈⠿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⢟⡡⠾⠇⠀⠀⣿⣾⣿⡂⠀⣀⣫⣿⣿⣿⣿⣿⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘⣻⣿⢹⣼⣿⣦⠉⢻⣿⣿⣿
⣿⣿⣿⣿⠟⡱⠊⠀⠀⠀⠀⠀⠘⠿⠉⢰⢾⣷⣿⣿⣿⣿⣿⣿⣿⣐⡾⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣧⣝⠻⠈⣿⣿⣿⣷⣄⠙⢿⣿
⣿⣿⢟⡥⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠐⠈⠉⠨⢿⣿⣿⣿⡿⠃⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠉⠙⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣿⣿⣇⣀⣿⡇⢠⣿⣿⣿⣿⣿⣦⡀⠹
⢋⡴⠋⠀⠀⠀⠀⠀⠀⠀⠐⠆⠰⡄⠀⠀⠀⠀⠐⣋⣉⣻⣏⠁⠈⠙⠛⠋⠛⠛⠛⣛⣿⣿⣛⣀⣀⣤⣤⣴⣿⣿⣿⣿⣿⣟⣛⡈⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⠇⠻⠿⠿⠿⣯⣽⣹⣿⣿⢃⢀⡋⣿⣿⣿⣿⣿⠿⣆
⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠾⠁⠀⠀⠀⠀⠀⠙⢻⣿⠁⠀⠀⠀⠀⠀⠀⣤⣿⣿⣷⡾⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠝⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⠀⠹⡧⠉⠿⣿⠿⢏⠀⢰
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⢚⣿⣷⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣾⣿⣿⣿⣿⣿⣿⠀⠆⠘⡀⠠⠄⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⡿⠛⡛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢹⣿⣿⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣿⣿⣻⣿⣿⣿⠧⠛⠿⠆⠘⠀⠐⠄⠀⠀⠤⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⠀⢡⠀⠀⣠⣿⣿⣿⣿⣿⠄⠤⡤⣽⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⣿⣿⣿⣷⣆⠋⠰⠀⠀⠀⠈⢆⠐⠀⠈⠀
⠀⠀⠀⠀⠀⠀⠔⠁⠀⠀⠀⢸⠀⣰⣿⣿⣿⣿⡿⠛⢈⢁⠋⡀⠁⠀⠀⠀⠀⠀⢠⡀⠔⣀⣴⣿⣿⣿⣿⣿⣿⠿⢟⣿⣿⣿⣿⣿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀
⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⡟⠏⠀⠀⢰⢙⢍⠄⠀⠀⠈⣀⢄⢐⠄⣥⣾⣿⣿⣿⠿⠟⠋⢉⣤⣾⣿⣿⣿⡿⠟⠁⠀⠀⡀⠀⠄⠀⠀⠀⠒⠆⠐⠀⠀⠑⡍⣿⣿⣿⣿⣿⣴⡄⠀⠀⠀⠀⠀⠣⡀⠀
⠀⠀⢠⡾⠃⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⡏⠀⠀⠀⠚⣻⣇⣍⣶⣦⣿⣷⣳⡥⠀⠀⢻⣿⣿⣦⠀⠀⣰⣿⣿⣿⣯⣭⣤⣠⣤⣤⣤⣠⣂⢆⣽⣤⣀⣀⢮⣻⣯⠀⠀⠈⠈⠿⠉⠹⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⢳⡀
⠀⣰⡟⠁⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠏⠀⠀⠀⠀⠸⠞⠿⠾⠿⠧⠽⠾⠿⠧⠀⠀⠈⢿⣿⣿⠀⠀⠈⠉⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣟⣧⣘⣊⣸⣻⣽⣀⡀⠀⠀⠀⡀⠀⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢻
⣼⠏⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠏⠁⠀⠀⠔⠛⠛⠙⠨⢸⣴⣻⣿⣿⣿⣿⣿⣧⣾⠘⣿⣿⣇⠀⢶⡄⣠⣄⣀⠀⠀⠀⠈⢉⣿⣿⣿⣿⣷⠲⣶⣶⣶⢶⣶⡒⠀⠀⠀⠀⢀⡀⢶⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀
⠃⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠛⠀⠀⠀⠀⠀⣂⣀⢀⡀⣄⣿⣿⣿⣿⣛⣿⣛⣭⣶⣾⣿⣿⣿⠁⢿⡇⣾⣿⣿⣷⡗⢀⣠⣾⣿⣿⣿⢿⣍⣿⣾⣿⣿⣿⣿⣿⣶⠀⠀⠀⢠⠲⣸⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀
⠀⠀⢰⡶⠀⠀⢀⣾⣿⣿⣿⡿⠉⠀⠀⠀⠀⡐⣢⡛⣿⡿⠃⢸⣷⣿⣿⣿⣮⣻⣍⣉⣁⣬⣍⣭⣭⣠⣼⡇⣿⣿⣿⣿⣷⣭⣭⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⡀⠀⣒⣷⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀
⣧⠀⠀⠋⠀⢀⣾⣿⣿⣿⣿⣖⠀⠀⠀⠀⢈⣳⠚⣺⣛⣥⢦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⡘⣻⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀
⣿⡣⠀⠀⣀⣠⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⢺⣿⣿⣠⠀⠐⢹⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣧⠐⠀⠀
⡝⠛⠁⢽⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⢸⣿⣿⡿⠘⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠠⢙⣙⠟⣿⣿⣿⣿⣿⣇⠀⠀
⠁⠀⠀⠀⠀⡠⣆⣾⣿⣾⣿⣿⣿⣿⡿⣿⣫⠾⣿⣿⡿⣿⣉⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡀⡴⣬⣠⣼⣿⣿⣿⣿⣿⣿⣿⣯⣲⣾⡿⢃⡼⠟⠟⣁⣿⣿⣻⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣮⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣰⣷⣿⣿⣿⣿⣿⣿⣿⣿⢿⣋⡺⡇⠈⠀⠀⠷⠆⢈⣿⣽⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣷⡻⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣟⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠟⣡⠿⢠⢠⠀⢀⡶⠋⢁⣸⣿⣿⣿⣿⣿⣿⣿⣯⣾⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣝⣿⣿⣿⡟⠉⡈⠿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⢟⡡⠾⠇⠀⠀⣿⣾⣾⡋⠀⠂⣦⣿⣟⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⡿⡟⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘⣻⣿⢹⣼⣿⣦⠉⢻⣿⣿⣿
⣿⣿⣿⣿⠟⡡⠊⠀⠀⠀⠀⠀⠈⠛⠉⠐⢸⣯⢯⣿⣿⣿⣿⣿⣿⣐⡿⣿⣿⣾⣿⣿⣿⣿⣿⡯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣝⠻⠈⣿⣿⣿⣷⣄⠙⢿⣿
⣿⣿⢟⡥⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡛⣻⣿⣿⣿⡷⠀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⠍⠉⠀⠉⠛⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣇⣀⣿⡇⢰⣿⣿⣿⣿⣿⣧⡀⠹
⢋⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡄⠀⠀⠀⠀⠐⣋⣉⣻⣏⠁⠀⠛⠛⠛⠛⠛⠛⣛⣿⠽⣛⣀⣀⣤⣤⣴⣿⣿⣿⣿⣿⣟⣛⡘⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠇⠻⠿⠿⠿⣯⣿⣽⣿⣿⢃⢀⡚⣿⣿⣿⣿⣿⠿⣆
⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠺⠁⠀⠀⠀⠀⠀⠙⢫⢿⠡⠀⠀⠀⠀⠀⠀⣴⣿⣿⣷⡾⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠝⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⠀⠹⡧⠉⠿⢿⡟⠛⠀⠺
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠁⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣤⣾⣿⣿⣿⣿⣿⣿⠀⢂⠘⡀⠠⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠌⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⡿⠛⠛⡃⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢾⣿⣹⢿⣿⣿⠧⠘⠉⡆⠸⠀⠘⠄⠀⠀⠀⠠⠄
⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⠀⢡⠀⠀⣠⣿⣿⣿⣿⣿⠡⢐⠀⠖⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⡀⠀⠀⠀⠀⠀⠘⢻⣿⣿⣿⣿⣷⣆⠀⠐⠀⠀⠀⠈⢆⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠐⠁⠀⠀⠀⢸⠀⣰⣿⣿⣿⣿⠟⠋⠈⠄⠡⠄⠀⠀⠀⠀⠀⠀⠀⠠⠖⣀⣴⣿⣿⣿⣿⣿⣿⡿⢟⣿⣿⣿⣿⣿⠿⠁⠀⠀⠀⢀⣀⠀⢀⠠⠀⠀⠸⢿⡿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀
⠀⠀⠀⠀⢠⠎⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⡟⡋⠀⠀⢐⠙⠴⠐⡀⠀⠀⡤⡀⠖⠄⣤⣾⣿⣿⣿⡿⠟⠋⢉⣠⣾⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠐⠠⠐⡀⣠⠀⠀⠠⢃⢻⣿⣿⣿⣿⣴⡄⠀⠀⠀⠀⠀⢳⡀⠀
⠀⠀⢠⡾⠃⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⡗⠀⠀⠀⢢⣾⣯⡁⣴⣄⡮⣅⣦⣩⠄⠀⢻⣿⣿⣧⠀⠀⢰⣿⣿⣿⣭⣭⣤⣤⣠⣔⣴⣐⢀⣉⡸⠸⢦⣰⢈⣢⣊⠀⠀⠀⠐⠛⠀⠻⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⢳⡀
⠀⣰⡟⠁⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⠘⠧⠘⠏⠶⠾⠿⠿⠿⠿⠆⠀⠀⢻⣿⣿⠇⠀⠈⠉⠛⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣟⣱⣮⣭⣀⣯⣿⣀⠀⠀⠀⠀⡀⠀⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢻
⣼⠏⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⠟⠀⠀⠀⠐⠑⡉⠀⠁⠩⣴⣿⣿⣿⣽⣷⣤⣦⣮⠈⣿⣿⣇⡀⣦⡄⣰⣤⢀⡀⠀⠀⠀⠉⢹⣿⣿⣿⣿⣷⡖⣦⣦⠲⣶⡆⠄⠀⠀⠀⢀⠀⢲⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀
⠃⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⢈⣄⠀⡀⣠⣿⣹⣿⣿⣛⣿⣛⣭⣴⣾⣿⣿⣿⠀⣻⡇⣿⣿⣿⣷⣴⠆⣀⣴⣿⣿⣿⠿⣏⣅⣒⣽⣽⣼⣿⣿⣢⠀⠀⠀⡐⡠⢙⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀
⠀⠀⢰⡶⠀⠀⢀⣾⣿⣿⣿⡿⠏⠀⠀⠀⠀⠀⢤⣿⣧⡞⢡⢭⣻⣯⣿⣿⣾⣛⣉⣉⣍⣩⣍⣩⣟⣠⣾⡇⣿⣿⣿⣿⣿⣮⣭⣭⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⡀⠀⠊⠯⣾⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀
⣧⠀⠀⠋⠀⢀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠠⠊⠎⠹⢉⠃⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣆⠀⠄⢿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀
⣿⡣⠀⠀⣀⣴⣿⣿⣿⣿⡟⠃⠀⠀⠀⠀⢹⣾⣦⡮⠖⠶⣀⣥⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣧⠠⠀⠀
⡝⠛⠁⢼⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⢸⣿⣿⣷⠁⠀⠾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣘⣛⡛⣿⣿⣿⣿⣿⣇⠀⠀
⠀⠀⠀⠀⠀⣀⣶⣾⣿⣷⣾⢿⣿⣿⡿⣿⡪⢾⣻⣿⣿⣻⣉⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣀⠴⣼⣄⣽⣾⣿⣿⣿⣿⣿⣿⣯⣲⣾⠟⡁⢸⡿⠟⣁⣾⣻⣻⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣱⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣚⡇⠈⠀⡐⠽⠆⢐⣳⣝⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣿⣿⣿⣿⣿⣿⣿⣷⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠟⣡⠿⢠⢀⠀⠰⡿⠋⢁⣸⣿⣿⣽⣿⣿⣿⣿⡿⣾⣿⣿⣿⣯⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣽⣿⣿⣿⡟⠉⡈⠿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⢟⡡⠾⠇⠀⠀⣿⢾⣧⠀⠀⢄⣚⣿⣿⣿⣿⣿⣿⣿⣽⣷⣿⣿⣿⣿⣿⣿⣿⡿⢚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⣿⣿⢹⣼⣿⣦⠉⢻⣿⣿⣿
⣿⣿⣿⣿⠟⡡⡊⠀⠀⠀⠀⠀⠈⠃⠉⠀⣲⣽⠿⣿⣿⣿⣿⣿⣟⣊⡿⣿⠿⣾⣿⣿⣿⣿⣿⡯⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣯⣝⠻⠘⣿⣿⣿⣷⣄⠙⢿⣿
⣿⣿⢟⡥⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡉⣋⡛⣿⣿⣿⣿⡿⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠍⠉⠀⠈⠙⣿⣿⣿⣿⣿⣿⣯⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣠⣿⡇⢰⣿⣿⣿⣿⣿⣧⡀⠹
⢋⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠄⠐⡄⠀⠀⠀⠀⠐⣛⣉⣛⣛⠁⠈⠛⠛⠛⠛⠛⠛⣛⣿⡿⣛⣀⣀⣤⣤⣤⣾⣿⣿⣿⣿⣛⣛⡈⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠇⠻⠿⠿⠿⣯⣽⣿⣿⣿⢃⢀⡚⣿⣿⣿⣿⣟⠛⢆
⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠺⠁⠀⠀⠀⠀⠀⠙⢿⣿⠃⠀⠀⠀⠀⠀⠀⣴⣿⣿⣷⡾⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠿⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡻⣿⣿⣿⣿⠀⠹⡇⠉⢻⣿⡟⠛⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣾⣿⣿⣿⣿⣿⣷⠀⠂⠘⡀⠈⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠌⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⡿⠛⠛⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢹⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣶⣿⣿⣿⣿⠧⠉⢁⡆⠘⠀⠘⠄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⠀⢡⠀⠀⢠⣿⣿⣿⣿⣿⠂⠀⠄⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢿⣿⣾⣿⣿⣷⣆⠊⠀⠀⠀⠀⠈⢄⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠔⠁⠀⠀⠀⢸⠀⣰⣿⣿⣿⣿⠿⠋⠀⠁⢑⠊⠀⠀⠀⠀⠀⠀⡀⠀⠄⣀⣴⣿⣿⣿⣿⣿⣿⡿⢟⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠄⣠⠀⠀⢀⠀⠀⠙⢿⡿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀
⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⡿⡉⠀⠀⠈⣷⣽⣠⠀⠀⢀⢂⣦⠀⡄⣥⣾⣿⣿⣿⡿⠟⠋⢉⣠⣾⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠠⠄⠆⢀⠈⡓⠀⠀⠀⠘⡇⣽⣿⣿⣿⣿⣴⡄⠀⠀⠀⠀⠀⢣⡀⠀
⠀⠀⢠⡾⠃⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⡅⠀⠀⠀⢾⣓⡶⣆⡄⣲⢤⣷⣽⠇⠀⠀⢹⣿⣿⣧⠀⠀⢰⣿⣿⣿⣯⣭⣤⣤⣀⣄⠢⣀⡀⣀⣍⡅⣀⡢⢐⣶⣗⠀⠀⠀⠀⠵⠁⢹⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⢳⡀
⠀⣰⡟⠁⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠗⠀⠀⠀⠀⠰⠆⠳⠿⠧⠼⠶⠾⠿⠯⠄⠀⠀⢿⣿⣿⡂⠀⠈⠉⠛⠛⠛⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣷⣈⣽⣠⣿⣯⣌⠀⠀⠀⠂⡀⠀⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢻
⣼⠏⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠙⠀⠀⠀⠸⠊⠁⠀⠑⢊⢶⡿⣿⣿⣿⣧⣬⣦⣦⠈⣿⣿⣇⠠⣢⡄⢠⣤⡀⠀⠀⠀⠀⠀⢉⣿⣿⣿⣿⣷⠶⡶⢦⡶⣶⣆⠀⠀⠀⠀⢀⠀⢶⣾⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀
⠃⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⣂⡤⣀⠀⠀⢿⣟⣿⣿⣛⣿⣛⣭⣴⣾⣿⣿⣿⠆⢾⡇⣿⣿⣿⣿⣶⠖⢂⣠⣾⣿⣿⠿⣋⡅⣴⣾⣿⣿⣿⣿⣠⠀⠀⠀⢐⢧⠸⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀
⠀⠀⢲⡶⠀⠀⢀⣾⣿⣿⣿⡿⠏⠀⠀⠀⣀⠠⣰⣻⢿⡏⠁⣿⣻⣯⣾⣿⣿⣛⣉⣍⣉⣈⣩⣩⣟⣠⣾⡇⣿⣿⣿⣿⣿⣷⣯⣭⣬⣷⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⡀⠀⢺⣫⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀
⣧⠀⠀⠋⠀⢀⣿⣿⣿⣿⣯⡆⠀⠀⠀⠀⢿⡤⢄⣰⢟⠀⡄⣯⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⠄⠁⢉⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀
⣿⡧⠀⠀⣀⣤⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⢻⣿⣦⡄⡂⠐⢂⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠒⠈⣿⣿⣿⣿⣿⣿⣿⣿⣧⠈⠀⠀
⡝⠛⠁⢼⣿⣿⣿⣿⣿⡟⠃⠀⠀⠀⠀⣰⣿⣿⡽⠀⠑⠽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⡺⡷⠙⣿⣿⣿⣿⣿⣧⠀⠀
⠁⠀⠀⠀⠀⡰⣺⣿⣿⣧⣾⣿⣿⣿⡿⣟⣢⢾⢿⣿⢿⣻⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣝⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣀⠴⢼⣂⣬⣿⣿⣿⣿⣿⣿⣿⣯⣺⣾⠟⠁⣼⡟⡟⡁⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡋⡚⡇⠈⠀⣸⠿⠇⢐⣷⣕⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠟⣡⠿⢠⢀⠀⠐⠱⠏⠁⣸⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣷⡽⣿⣿⣿⡟⠉⡈⠿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⢟⡡⠾⠇⠀⠀⣿⢾⣷⠃⠀⣀⣺⣿⣿⣿⣿⣿⣿⡿⢽⣿⣿⣿⣿⣿⣿⣿⣿⡿⣒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡮⣿⣿⢹⣼⣿⣆⠉⢻⣿⣿⣿
⣿⣿⣿⣿⠟⡡⠊⠀⠀⠀⠀⠀⠘⠛⠉⠀⡼⣗⠸⣿⣿⣿⣿⣿⣛⢊⢿⣿⠾⣿⣿⣯⣿⣿⣿⡯⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⠻⠈⣿⣿⣿⣷⣄⠙⢿⣿
⣿⣿⢟⡥⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠋⢉⣿⣿⣿⣿⣿⢁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⠀⠈⠙⣿⣿⣿⣿⣿⣿⣯⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣿⡇⢰⣿⣿⣿⣿⣿⣧⡀⠹
⢋⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠁⠰⡄⠀⠀⠀⠀⠐⣋⣉⣛⣛⠀⠘⠛⠛⠛⠛⠛⢛⣛⣿⣿⣛⣀⣠⣤⣤⣴⣾⣿⣿⣿⣿⣛⣛⡉⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠁⠻⠿⠿⠿⣯⣿⣝⣿⣿⢃⢰⠚⣿⣿⣿⣿⣿⠻⢦
⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠪⠁⠀⠀⠀⠀⠀⠙⠛⢿⡇⠀⠀⠀⠀⠀⠀⣴⣿⣿⣷⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⠀⠹⣇⠙⢻⣿⡿⠃⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠁⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣷⠀⠂⠐⡀⠊⠀⡀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⡿⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣾⣿⣽⣿⣿⣿⠧⠉⠺⡆⠘⠂⠘⠄⠀⢀⢀⢠⡄
⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⠀⢡⠀⠀⣠⣿⣿⣿⣿⣿⢌⠢⢴⠬⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣷⣆⠁⠸⠀⠀⠀⠈⢄⠀⠀⠀⠁
⠀⠀⠀⠀⠀⠀⠐⠁⠀⠀⠀⢸⠀⣰⣿⣿⣿⣿⡿⠻⠋⢁⡁⠀⠈⠁⠀⠀⠀⠀⠀⠀⠔⣀⣴⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀
⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⢟⠏⠀⠀⠠⣇⢨⣀⠀⠀⠀⠀⣀⠐⡀⣤⣾⣿⣿⣿⡿⠟⠋⢉⣤⣾⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⠄⠀⠀⠀⠈⡄⠀⠀⠀⠘⣎⢛⣿⣿⣿⣿⣴⡄⠀⠀⠀⠀⠀⢣⡀⠀
⠀⠀⢠⡾⠃⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⡗⠀⠀⠀⢘⣿⠵⠱⢦⡤⣲⣽⣗⣇⠄⠀⢻⣿⣿⣧⠀⠀⢰⣿⣿⣿⣯⣥⣤⣤⣔⣐⠐⣦⣬⣄⣠⡅⡄⢆⣸⣁⢮⠀⠀⠀⠺⢟⠊⢻⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⢳⡀
⠀⣰⡟⠁⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠗⠀⠀⠀⠀⠰⠡⠽⠿⠿⠿⠽⠿⠿⠛⠀⠀⠀⢻⣿⣿⠇⠀⠈⠉⠛⠛⠛⠻⠿⠿⠿⢿⣿⣷⣾⣿⣿⣷⣶⣟⣀⣿⣿⣊⠀⠀⠀⠀⡀⠀⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢳
⣼⠏⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠏⠁⠀⠀⠬⠋⠛⠈⠙⠪⣜⣿⣿⣿⣿⣿⣾⣦⣦⠀⣿⣿⣧⠀⣶⡆⢠⣤⣄⡀⡀⠀⠀⠀⠀⣹⣿⣿⣿⣿⠗⠖⠢⡶⣶⡶⡀⠀⠀⠀⢀⠀⣶⣾⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀
⠃⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⡀⠀⢅⣠⡤⣿⣿⣿⣿⣛⣿⣛⣯⣴⣾⣿⣿⣿⡄⢻⡧⣿⣿⣿⣿⣿⣶⠆⣠⣼⣿⣿⠿⢫⣶⣴⣦⣾⣷⣿⣿⣤⠀⠀⠀⡜⡴⢹⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀
⠀⠀⢲⡶⠀⠀⢀⣾⣿⣿⣿⡿⠋⠀⠀⠀⠀⠤⢴⠻⣿⡅⠐⣛⣿⣿⣿⣿⣿⣛⣉⣭⣅⣉⣍⣙⣽⣥⣾⡇⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣖⡀⠀⢑⣯⣾⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀
⣧⠀⠀⠋⠀⢀⣿⣿⣿⣿⣿⡂⠀⠀⠀⠀⢋⣗⡈⢐⡛⠶⠄⢒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣧⠄⠙⢻⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀
⣿⡣⠀⠀⣀⣨⣿⣿⣿⣿⡏⠁⠀⠀⠀⠀⣰⣿⣷⠞⠂⠀⣀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠐⠀⢻⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀
⡟⠛⠁⢼⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⢰⣿⣿⣻⠃⠀⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠄⢘⢿⠽⣿⣿⣿⣿⣿⣇⠀⠀
⠁⠀⠀⠀⠀⡠⣼⣿⣿⣷⣿⣿⣿⣿⡿⡿⣫⢾⣿⣿⣟⢻⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣷⣝⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣀⡴⢬⣈⣭⣿⣿⣿⣿⣿⣿⣿⣯⣲⣾⠏⠀⢸⢛⡛⢀⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿
⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⠿⣻⡚⠇⠈⠀⠨⡽⠂⢐⣺⣻⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠟⣡⠿⢠⢀⠀⠐⠚⠞⠁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣷⡽⣿⣿⣿⡟⢉⡈⠿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⢟⡡⠺⠇⠀⠀⣿⣼⣧⠈⠀⢐⣩⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡬⣿⣿⢹⣼⣿⣆⠈⢻⣿⣿⣿
⣿⣿⣿⣿⠟⡱⠊⠀⠀⠀⠀⠀⠘⠿⠁⠀⢰⣾⢩⣷⣿⣿⣿⣿⡗⠩⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡦⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⡛⠈⣿⣿⣿⣷⣄⠙⢿⣿
⣿⣿⢟⡥⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠈⠉⠶⢟⣿⣿⣿⣿⣉⣽⢿⣿⣿⣿⣿⡿⣿⣿⣿⠋⠉⠉⠉⠛⣿⣿⣿⣿⣿⣿⣯⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⡿⣿⣿⣿⣿⣿⣿⣧⣤⣿⡇⢰⣿⣿⣿⣿⣿⣦⡀⠹
⢋⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡄⠀⠀⠀⠀⠐⣛⣉⣻⣛⠀⠈⠙⠛⠛⠛⠛⠛⢛⣛⣛⣛⣀⣀⣤⣤⣴⣿⣿⣿⣿⣿⣛⣛⡉⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠿⠿⠿⠿⣯⣷⣍⣿⣿⢃⢠⠸⢿⣿⣿⣿⣟⠛⢆
⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠪⠁⠀⠀⠀⠀⠀⠛⠿⣿⠅⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡹⣿⣿⣿⣿⠀⠱⣏⠘⣛⣿⡛⠃⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⣿⣷⣄⠀⠀⠀⠀⠻⠟⠛⠉⠉⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣿⣿⣿⣷⠀⠆⠐⡄⠐⠫⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⠛⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢯⣾⣽⣿⣿⣿⠧⠛⢢⠆⠘⠂⠈⠄⠀⢀⠤⠠⠀
⠀⠀⠀⠀⠀⠀⠀⠠⠊⠀⠀⢡⠀⠀⢠⣿⣿⣿⣿⣿⡑⢄⡐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣷⣆⠑⠐⠀⠀⠂⠈⢆⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡐⠁⠀⠀⠀⢸⠀⣰⣿⣿⣿⣿⡿⠋⠂⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⣀⣴⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⢢⠀⠀⠀
⠀⠀⠀⠀⢠⠎⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⠛⠛⠀⠀⠀⣖⢉⠀⠀⠀⠀⠀⡀⠐⠄⣠⣾⣿⣿⣿⡿⠛⠋⢉⣤⣾⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠄⠀⠀⢉⠐⡏⣿⣿⣿⣿⣴⡄⠀⠀⠀⠀⠀⢣⡀⠀
⠀⠀⢠⡾⠃⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⡃⠀⠀⠀⡨⣯⡇⢁⡠⢄⣩⣏⢍⢩⠑⠈⢹⣿⣿⣧⠀⠀⢰⣿⣿⣿⣿⣶⣶⣶⣶⣤⣀⣀⢂⠤⣷⣺⡉⡁⠰⡆⢄⠀⠀⠀⣃⠔⠈⢹⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⢳⡀
⠀⣰⡟⠁⠀⠀⠀⠀⠀⢒⣾⣿⣿⣿⡿⠇⠀⠀⠀⠀⠀⠩⠭⠭⠿⠱⠿⠻⠿⠳⠢⠀⠀⢻⣿⣿⡅⠀⠈⠉⠛⠛⠛⠛⠛⠛⠻⠿⠿⠿⣿⣿⣿⣿⣿⢧⣈⣿⣿⣀⡀⠀⠀⠀⠀⠀⣻⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢳
⣼⠏⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠇⠀⠀⠀⠂⠙⠉⠈⠀⢈⣾⡿⣿⣿⣯⣿⣿⣲⣦⠈⣿⣿⣇⠀⡲⡄⣠⣤⣤⣄⡀⠀⠀⡀⠀⢠⣿⣿⣿⠟⠟⠀⢀⣲⣶⣆⠀⠀⠀⠀⠀⡰⢶⣶⣿⣿⣷⡃⠀⠀⠀⠀⠀⠀
⠃⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⢀⣐⠀⢀⢠⠺⠭⢻⣿⣛⣿⣛⣭⣴⣾⣿⣿⣿⡄⢻⡧⣿⣿⣿⣿⣿⣿⣿⢡⠴⠿⠿⣛⣯⣶⣶⣴⣿⣾⣿⣿⣢⠀⠀⠀⠐⠦⠙⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀
⠀⠀⢲⡶⠀⠀⢀⣾⣿⣿⣿⡿⠛⠀⠀⠀⠀⠀⢴⣾⢿⠢⠀⣧⣽⣿⣾⣿⣮⣛⣩⣉⡍⣉⣍⣉⣽⣤⣾⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠀⠀⠠⣦⣮⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀
⣧⠀⠀⠋⠀⠀⣿⣿⣿⣿⣿⡖⠀⠀⠀⠀⢙⣧⠀⢸⠈⠀⠂⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠀⢩⢹⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀
⣿⡣⠀⠀⣀⣤⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⢺⣿⣄⡎⠀⢀⡌⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠉⢻⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀
⡝⠛⠁⢼⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⢸⣾⣿⡗⠁⠈⠿⢿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠈⠰⡞⡙⢿⣿⣿⣿⣿⣇⠀⠀
⠁⠀⠀⠀⠀⠀⣀⣾⣿⣧⣾⣿⣿⣿⡿⡿⡫⠿⣿⣿⣟⢻⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣀⢤⢸⣀⣨⣿⣿⣿⣿⣿⣿⣿⣯⣲⢾⠟⣀⣼⣿⡟⣁⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⡿
⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⢿⡋⡺⠇⠈⠠⠈⠻⠂⣐⣾⣻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠟⣡⠯⢠⢀⠀⠀⢾⡙⠁⣰⣿⣯⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡽⢿⣿⣿⡟⠉⡈⠿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⢟⡡⠾⠇⠀⠀⣿⠾⣤⠀⠀⠐⢻⣿⣿⣾⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡬⣿⣿⢹⣼⣿⣆⠉⢿⣿⣿⣿
⣿⣿⣿⣿⠟⡡⠊⠀⠀⠀⠀⠀⠘⠋⠁⠀⣸⣽⣚⣿⣿⣿⣿⣿⡟⢭⣽⣿⣿⣿⣿⢿⣿⣿⣿⡟⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⡶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⠛⠘⣿⣿⣿⣷⣄⠙⢿⣿
⣿⣿⠟⡥⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠙⣟⣿⣿⣿⣿⣉⣽⣿⣿⣿⣿⡿⠿⣿⣿⣿⠋⠉⠉⠉⠻⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⠿⣿⣿⣿⣿⣿⣿⣧⣤⣿⡇⢠⣿⣿⣿⣿⣿⣦⡀⠹
⢋⡤⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡄⠀⠀⠀⠀⠘⣛⣉⣻⣛⠀⠈⠙⠛⠛⠛⠛⠛⠛⠛⡛⣛⣀⣀⣠⣤⣤⣿⣿⣿⣿⣿⣛⣛⡉⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠻⠿⠿⠿⣯⣷⣍⣿⣿⢇⢠⠸⢿⣿⣿⣿⡟⠟⢆
⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠾⠁⠀⠀⠀⠀⠀⠙⢻⢿⠁⠀⠀⠀⠀⠀⠀⠀⢾⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡹⣿⣿⣿⣿⠀⠱⣒⠘⢻⣿⡟⠋⠀⠠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠁⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⣷⡆⠀⠀⠀⠀⣠⣾⣿⠿⠟⠋⠁⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢴⣾⣿⣿⣿⣿⣿⣷⠀⠂⠐⡄⠀⠉⠅⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⠻⠛⠁⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢪⣆⣙⢿⣿⣿⠧⠟⠃⠄⠘⠀⠈⠄⠀⢈⠤⠀⡀
⠀⠀⠀⠀⠀⠀⠀⢠⠊⠀⠀⢡⠀⠀⢠⣿⣿⣿⣿⣿⢀⡀⠈⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣷⣦⠉⠐⠀⠀⠂⠈⢆⠀⠀⠀⠁
⠀⠀⠀⠀⠀⠀⡐⠁⠀⠀⠀⢸⠀⣰⣿⣿⣿⣿⠿⠋⠀⠈⠉⠀⡀⠀⠀⠀⠀⠀⠀⠀⠄⣀⣴⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠘⣿⡻⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀
⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⠏⠫⠀⠀⠀⣮⣁⠀⠀⠀⠀⢀⠀⡰⠌⣤⣾⣿⣿⣿⠿⠛⠋⢁⣴⣾⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠐⡀⠈⣄⡐⠀⠀⠁⠋⠉⣿⣿⣿⣿⣴⡄⠀⠀⠀⠀⠀⢣⡀⠀
⠀⠀⢠⡾⠃⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⠕⠀⠀⠀⠨⣽⡋⠃⢄⡀⢄⢸⢂⢂⠄⠀⢹⣿⣿⣧⠀⠀⢰⣿⣿⣿⣿⣶⣶⣶⣶⣶⣤⣀⣀⣐⣲⣄⣀⡀⠨⡂⠀⠀⠀⠀⠀⠆⠀⠺⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⢱⡀
⠀⣰⡟⠁⠀⠀⠀⠀⠀⢒⣾⣿⣿⣿⣿⠗⠀⠀⠀⠀⠨⠐⠵⠂⠏⠷⠦⠝⠼⠌⠄⠀⠀⢻⣿⣿⠂⠀⠈⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠻⢿⣿⣿⣿⣿⣇⣀⢸⣿⡀⠀⠀⠀⠀⡀⠀⣻⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢻
⣼⠏⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠉⠀⠀⠐⡶⢻⣿⣭⣻⣿⣿⣆⣆⠈⣿⣿⣧⠀⣲⡄⢠⢤⣤⣠⡀⡀⠀⡀⠀⢀⣾⣿⣿⡟⠁⠐⠤⠰⣶⡆⠀⠀⠀⠀⠀⠀⢶⣾⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀
⠃⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⢿⢽⢳⣿⣿⣿⣛⣫⣴⣾⣿⣿⣿⡀⢺⡇⣿⣿⣿⣿⣿⣿⣶⣇⢴⠿⢟⡋⡿⣤⣧⣶⣷⣦⣿⣷⢀⠀⠀⠀⠀⠤⠐⢿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀
⠀⠀⢰⡶⠀⠀⢀⣾⣿⣿⣿⡿⠋⠀⠀⠀⡀⠀⢠⣘⢿⡅⠀⠘⡅⢿⣿⣿⣾⣛⣋⢉⡉⣉⣉⣉⣛⣁⣼⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠄⠀⠀⠠⣷⣟⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀
⣧⠀⠀⠋⠀⢀⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠙⡆⠀⠢⠉⡠⠀⠈⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠄⢽⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀
⣿⡣⠀⠀⣀⣠⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⢸⣿⡤⠂⠀⢀⠀⣶⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠨⢻⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀
⡟⠛⠁⢼⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⢰⣿⣿⡂⠀⠀⠾⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⢨⠿⠛⢿⣿⣿⣿⣿⣇⠀⠀
⠀⠀⠀⠀⠀⠀⣒⢺⣿⣧⣾⣿⣿⣿⡿⡿⣢⢿⣻⣿⡟⢻⣉⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣀⠰⣴⣠⣽⣿⣿⣿⣿⣿⣿⣿⣯⣲⢾⠿⣁⣴⣿⡏⣡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣹⣶⣿⣿⣿⣿⣿⣿⣿⣿⠿⣛⡚⠇⠈⠀⣩⣯⠋⣐⣾⣻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣟⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠟⣡⠿⢠⢀⠀⠠⣶⡞⠁⣼⣯⣯⣻⣽⢿⣯⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣷⡽⢿⣿⣿⡟⠉⡈⠿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠟⡡⠾⠆⠀⠀⡿⣾⢯⠇⠀⢰⣯⣿⣯⣾⣿⣿⣿⡿⣳⣯⣽⣿⣿⣿⢿⣿⣿⣯⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡬⣿⣿⢹⣼⣿⣆⠉⢻⣿⣿⣿
⣿⣿⣿⣿⠟⡱⠊⠀⠀⠀⠀⠀⠜⠟⠃⠠⣼⣿⣿⣿⣿⣿⣿⣿⡿⢍⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡞⣿⣿⣿⣿⣿⣿⣿⣿⢿⣹⢻⠈⣿⣿⣿⣷⣄⠙⢿⣿
⣿⣿⢟⡥⠊⠀⠀⠀⠀⠀⠀⡀⠀⢀⠀⠌⠐⠋⢿⣿⣿⣿⣿⣿⣩⣽⣿⣿⣿⣾⣿⣿⣿⣿⣿⠋⠉⠉⠙⢿⣿⣷⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣧⣤⣿⡇⢰⣿⣿⣿⣿⣿⣦⡀⠹
⢋⡤⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡄⠀⠀⠀⠀⠐⣛⣉⣛⣛⠀⠈⠉⠙⠛⠛⠛⠛⠛⠛⢛⢃⢀⣀⣀⣤⣤⣿⣿⣿⣿⣿⣛⣛⡙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠍⠿⠿⠿⠿⣯⣷⣏⣿⣿⢇⢀⠸⢿⣿⣿⣿⣿⠟⢆
⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠮⠁⠀⠀⠀⠀⠀⠙⠯⢿⠁⠀⠀⠀⠀⠀⠀⠀⢾⣷⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣹⣿⣿⣿⣿⠀⠹⣖⠘⢻⣿⡟⠋⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠁⠀⠀⠀⠀⠀⠀⠀⠀⢒⣿⣷⣄⠀⠀⠀⠀⢠⣴⣾⣿⠿⠛⠉⠈⠉⠻⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣾⣿⣿⣿⣿⣿⣷⠀⠆⠘⡅⠀⢻⠅⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠌⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⠛⠛⠁⠀⠀⠀⠀⠉⠛⠉⠀⠀⠀⠀⠀⠀⠀⠈⣹⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢶⣜⡛⣻⣿⣿⠿⠛⢳⠄⠀⠂⠈⠄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢠⠊⠀⠀⢡⠀⠀⢠⣿⣿⣿⣿⣿⠁⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣷⣆⠚⠐⠀⠀⠂⠈⢆⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠐⠁⠀⠀⠀⢸⠀⣰⣿⣿⣿⣿⡿⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣿⣿⣿⠿⣛⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀
⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⠛⠋⠀⠀⠀⣥⡀⠐⠀⠀⠀⢰⡀⢀⠄⣤⣾⣿⣿⣿⠿⠛⠋⢁⣤⣾⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠂⠀⠀⠀⡈⠇⠸⣿⣿⣿⣿⣦⡄⠀⠀⠀⠀⠀⢣⡀⠀
⠀⠀⢠⡾⠃⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⡁⠀⠀⠀⠴⣕⡆⠀⠀⢀⣐⣪⡍⡀⠀⠀⢹⣿⣿⣧⠀⠀⢰⣿⣿⣿⣿⣶⣶⣶⣶⣶⣤⣤⣤⣄⣐⣢⣤⡄⠐⣀⡀⡀⠀⠀⠀⠄⠄⠻⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⢳⡀
⠀⣰⡟⠁⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⡿⠁⠀⠀⠂⠐⠠⠕⠲⠺⠒⠒⠝⠣⠇⠀⠀⠀⢻⣿⣿⡀⠀⠀⠉⠙⠋⠉⠛⠛⠛⠛⠙⠛⠛⢻⣿⣿⣿⣿⣟⣀⣸⣯⣂⡀⠀⠂⡀⠀⠀⣻⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢻
⣼⠏⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠟⠀⠀⠠⠀⠂⠃⠈⠉⠚⢛⣿⣿⣯⣭⣿⣭⢄⣤⠈⣿⣿⣇⠀⣶⡄⢠⡤⣤⣠⣀⡀⠀⢀⠀⠀⣼⣿⣿⠟⠁⠐⠀⣀⢶⣂⠀⠀⠀⠀⠀⣀⢶⣾⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀
⠃⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⢣⠷⣽⣿⣟⣿⣟⣫⣥⣶⣿⣿⣿⠅⣿⡇⣾⣿⣿⣿⣿⣿⣶⣿⣠⣛⡟⣍⣽⣶⣶⣤⣴⣽⣿⣿⣥⠀⠀⠀⡄⣄⢐⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀
⠀⠀⢲⡶⠀⠀⢀⣾⣿⣿⣿⡿⠋⠀⠀⠀⢀⠠⢢⢺⣿⡴⡄⣤⣾⣯⣿⣿⣾⡛⣯⣍⣉⣉⡉⣛⣻⣀⣬⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⣲⣴⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀
⣧⠀⠀⠋⠀⠀⣾⣿⣿⣿⣿⡀⠀⠀⠀⠀⣋⢾⠅⠊⠂⢀⠀⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡦⠀⠁⢸⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀
⣿⡣⠀⠀⣀⣠⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⢙⣳⡄⠉⠁⠀⠀⢰⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠀⠀⠿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀
⡟⠛⠁⢼⣿⣿⣿⣿⣿⢟⠃⠀⠀⠀⠀⢰⣿⣾⡿⠁⠈⢶⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢈⡛⠚⢿⣿⣿⣿⣿⣇⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣾⣿⣧⣼⣿⣿⣿⡿⡿⡢⣿⣿⣿⡟⢻⣉⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣷⣝⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣀⣰⢼⣄⣬⣿⣿⣿⣿⣿⣿⣿⣯⣲⢾⢞⡃⣸⣟⡏⣩⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿
⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⠿⣛⣚⠇⠀⠀⣷⣿⠉⣠⣝⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣟⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠟⣡⠟⢠⢀⠀⢰⣼⠛⠁⣼⣿⣧⣻⣽⢿⣯⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡼⢿⣿⣿⡟⠉⡈⠿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠟⡱⢺⠇⠀⠀⡿⣾⣯⠃⠀⡠⣟⣿⣿⣾⣿⣿⣿⣿⣲⣿⣿⣿⣽⣿⢿⣿⣿⣯⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡼⣿⣿⢹⣼⣿⣆⠈⢻⣿⣿⣿
⣿⣿⣿⣿⠟⡡⠎⠀⠀⠀⠀⠀⠘⠗⠃⠀⣯⣿⣿⣿⣿⣿⣿⣿⡿⠗⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⠻⠈⣿⣿⣿⣷⣄⠙⢿⣿
⣿⣿⢏⡥⠊⠀⠀⠀⠀⠀⢀⡀⠀⢀⠀⠂⠀⠹⣿⣿⣿⣿⣿⣿⢩⣽⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠉⠉⠙⢿⣿⣷⣿⣿⣿⣿⣗⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣧⣤⣿⡇⢰⣿⣿⣿⣿⣿⣦⡀⠹
⠋⡤⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡄⠀⠀⠀⠀⠀⣛⣉⣛⣛⠁⠈⠉⠛⠛⠛⠛⠛⠛⠛⡛⠁⢀⣀⣀⣤⣬⣿⣿⣿⣿⣿⣛⣛⡙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠏⠿⠿⠿⠿⣿⣷⣯⣿⣿⢃⢈⠘⢿⣿⣿⣿⣿⠛⢀
⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠪⠃⠀⠀⠀⠀⠀⠙⠿⣿⠅⠀⠀⠀⠀⠀⠀⠠⣴⣷⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡹⣿⣿⣿⣿⠀⠹⣆⠈⠿⣿⢿⠛⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⣷⡆⠀⠀⠀⠀⣴⣾⣿⡿⠟⠋⠁⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢤⣾⣿⣿⣿⣿⣿⣷⠀⠂⠘⡅⠁⢩⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠌⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⡿⠿⠛⠃⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢶⣯⣛⢻⣿⣿⠷⠟⢿⠄⠀⠀⠈⠄⠈⠂⢀⡀⠀
⠀⠀⠀⠀⠀⠀⠀⢠⠊⠀⠀⢡⠀⠀⢠⣿⣿⣿⣿⣿⣁⠂⣀⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⣿⣿⣷⣆⠫⠨⠀⠀⠂⠈⢆⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡐⠁⠀⠀⠀⢸⠀⣰⣿⣿⣿⣿⠟⠇⡀⠈⠅⢤⠀⠀⠀⠀⠀⠀⠀⠀⠆⣀⣴⣿⣿⣿⣿⣿⣿⠿⢟⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠉⣻⡿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀
⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⠏⠋⠀⠀⠤⡠⠆⢠⠀⠀⠂⠀⠠⠀⠄⢥⣾⣿⣿⣿⠿⠛⠋⠁⣠⣾⣿⣿⡿⠿⠋⠀⠀⠀⠄⠥⠠⡄⠀⠀⠠⠄⠀⠀⠀⠀⠤⡹⢿⣿⣿⣿⣶⡄⠀⠀⠀⠀⠀⠣⡀⠀
⠀⠀⢠⡾⠃⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⡑⠀⠀⠀⠶⡘⡗⠂⠀⠀⣤⣄⡀⠈⠀⠀⢹⣿⣿⣧⠀⠀⢰⣿⣿⣿⣿⣶⣶⣿⣿⣶⣶⣦⣤⣤⣤⣥⣤⣴⠔⢉⡁⠂⠀⠀⠈⠃⠀⢛⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⢳⡀
⠀⣰⡟⠁⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⡿⠟⠀⠀⠀⠀⠒⠥⠀⠵⠤⠤⠤⠫⠽⠇⠂⠀⠀⢻⣿⣿⡀⠀⠀⠉⠙⠙⠙⠋⠛⠋⠋⠉⠉⠉⠛⣿⣿⣿⣿⣿⠀⣺⣿⣁⠂⠀⠀⠀⠀⠀⣻⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢻
⣼⠏⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⠃⠀⠀⠀⠀⠚⠉⠈⠁⢨⣸⣻⣭⣭⣿⣿⣷⣦⡤⡀⣿⣿⣇⠀⣆⡄⢠⣤⣤⣄⢀⠀⠀⠀⡀⠀⣰⣿⣿⠟⠀⠀⡀⡰⢶⣀⠀⠀⠀⠀⡀⢀⣶⣾⣿⣿⣷⡃⠀⠀⠀⠀⠀⠀
⠃⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⡐⠤⠀⡀⡠⠝⣽⣿⣿⣿⣿⣛⣫⣭⣶⣿⣿⣿⡄⣳⡧⣾⣿⣿⣿⣿⣿⣶⣾⣇⣚⣛⣉⣭⣶⣤⣦⣬⣶⣿⣷⢀⠀⠀⠀⠁⠨⢙⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀
⠀⠀⠲⡶⠀⠀⢀⣼⣿⣿⣿⡿⠋⠀⠀⠀⣀⢠⠤⢻⣺⠠⠀⠀⣚⣾⣿⣿⣾⣛⣋⣭⣉⢉⣉⣛⣻⣣⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⡠⠀⠠⠤⣾⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀
⣧⠀⠀⠋⠀⠀⣾⣿⣿⣿⣿⡄⠀⠀⠀⠄⠸⡌⠀⢸⠍⠆⠂⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠄⠊⠨⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀
⣿⡧⠀⠀⣀⣤⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⢐⣴⠤⠌⠑⢀⢆⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⠀⠘⠿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀
⠟⠛⠁⢼⣿⣿⣿⣿⣿⡟⠃⠀⠀⠀⠀⢰⣿⣿⡇⠈⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢚⡭⡟⢿⣿⣿⣿⣿⣧⠀⠀
⠀⠀⠀⠀⣄⠈⣕⣿⣿⣿⣿⣿⣿⣿⡿⡿⡣⣺⣿⣿⡛⣏⣹⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⡽⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣀⣴⣼⣀⣩⣿⣿⣿⣿⣿⣿⣿⣯⣪⣾⡞⢁⠠⢼⠏⣩⠭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣫⣺⠇⠀⢈⣹⣿⠋⣈⣜⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣻⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠟⣡⠟⢠⢀⠀⣤⣾⡿⠁⣼⣿⣿⣯⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡼⣿⣿⣿⡟⠉⡈⠿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠟⡡⢺⠃⠀⠀⣿⡺⣿⠋⠀⢸⣟⣻⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘⣿⣿⢹⣼⣿⣆⠈⢻⣿⣿⣿
⣿⣿⣿⣿⠟⡡⠊⠀⠀⠀⠀⠀⠘⡟⠃⢀⣱⣿⣿⣿⣿⣿⣿⣿⢿⢓⣾⣿⣿⣿⣿⣟⣿⣾⣿⣟⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢞⣿⣿⣿⣿⣿⣿⣿⣿⢿⣾⢿⠈⣿⣿⣿⣷⣄⠙⢿⣿
⣿⣿⠏⡡⠊⠀⠀⠀⠀⠀⢀⡀⠂⠀⠀⠂⠁⠋⡓⣿⣿⣿⣿⡿⠓⣲⣿⣿⣷⣿⣿⣿⣯⣿⡿⠂⠈⠉⠛⢿⣿⣿⣿⣿⣿⣿⣗⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣧⣤⣿⡇⢰⣿⣿⣿⣿⣿⣦⡀⠹
⢋⡤⠊⠀⠀⠀⠀⠀⠀⠀⠀⠐⠸⡄⠀⠀⠀⠀⠐⣙⣉⣛⣛⠃⠈⠉⠛⠛⠛⠛⠛⠛⠛⠛⠁⣀⣀⣠⣤⣼⣿⣿⣿⣿⣟⣛⣛⡐⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠏⠿⠿⠿⠿⣯⣷⣞⣿⣿⢃⢈⠘⣿⣿⣿⣿⣿⡟⢆
⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠺⠁⠀⠀⠀⠀⠃⠙⠻⢿⠁⠀⠀⠀⠀⠀⠀⠀⢶⣷⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠻⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡹⣿⣿⣿⣿⠀⠹⡦⠀⠿⣿⣏⠋⠀⢘
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠁⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣧⣄⠀⠀⠀⠀⣠⣾⣿⡿⠟⠋⠁⠀⠉⢻⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣦⣾⣿⣿⣿⣿⣿⣷⠀⠂⠘⡄⠈⠉⡓⠠⠀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⡿⠟⠛⠃⠀⠁⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡯⣿⡽⢿⣿⣿⠷⠟⠙⡄⠀⠀⠈⠄⠈⡚⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢠⠊⠀⠀⢡⠀⠀⣠⣿⣿⣿⣿⣿⣸⠆⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣷⣿⣿⣿⣷⣮⠄⠹⠀⠁⠀⠈⢆⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡐⠁⠀⠀⠀⢸⠀⣰⣿⣿⣿⣿⡟⠏⠀⠀⠄⠠⠀⠀⠀⠀⠀⠀⠀⠀⠔⢀⣴⣿⣿⣿⣿⣿⣿⠿⢟⣿⣿⣿⣿⣿⠟⠃⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠹⢿⢿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀
⠀⠀⠀⠀⢠⠎⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡟⠋⡀⠰⢈⣂⡙⣀⠄⠠⠀⠀⠀⠠⡀⢠⣾⣿⣿⣿⡿⠟⠋⠉⣠⣾⣿⣿⡿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠀⠀⠀⠹⣃⣹⣿⣿⣿⣿⣶⡄⠀⠀⠀⠀⠀⢣⡀⠀
⠀⠀⢠⡾⠃⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⡏⠀⠀⠠⣘⣿⣭⠠⣤⡠⡲⣼⡄⠁⠀⠀⢻⣿⣿⣧⠀⠀⢰⣿⣿⣿⣿⣶⣶⣿⣿⣿⣶⣶⣦⣤⣤⣭⣴⣮⡗⢕⡂⠂⠀⢌⢂⠫⠉⠻⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⢳⡀
⠀⣰⡟⠁⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠟⠂⠀⠠⠀⠠⠎⠿⠘⠶⠦⠃⠾⠾⠽⠄⠀⠀⢻⣿⣿⡂⠀⠀⠉⠉⠋⠙⠛⠛⠉⠉⠉⠉⠉⠉⢻⣿⣿⣿⡿⣗⣸⣿⣞⠀⠀⡀⢚⡄⠈⣽⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢻
⣼⠏⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⠅⠀⠀⠀⠀⠈⡁⠙⠙⣿⡆⣽⣿⣿⣿⣯⣽⣮⣤⠈⣿⣿⣇⠀⢦⡄⣠⣤⣤⣤⣀⢄⠀⡀⣀⠀⢀⣿⣿⠟⠁⠂⡀⣠⢦⣦⠀⠀⠀⠀⣄⡠⣶⣾⣿⣿⣷⡃⠀⠀⠀⠀⠀⠀
⠃⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠓⠀⠀⠀⠀⠀⠀⡁⡀⠀⢫⣧⣿⣿⣿⣿⣿⣟⣫⣥⣶⣿⣿⣿⡄⢻⡇⣿⣿⣿⣿⣿⣿⣾⣮⣧⣐⣛⡫⣵⣤⣽⣾⣶⣿⣿⣿⣤⠀⠀⠐⢒⣟⢨⢿⣿⣿⣿⣿⡂⠀⠀⠀⠀⠀
⠀⠀⢲⡶⠀⠀⢀⣼⣿⣿⣿⡿⠋⠀⠀⠀⠀⢤⢠⢐⣞⡏⠀⢃⣟⣿⣿⣿⣾⣛⣛⣩⣭⣉⣉⣙⣻⣅⣼⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠲⣸⣾⣻⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀
⣧⠀⠀⠋⠀⢀⣿⣿⣿⣿⣯⡆⠀⠀⠀⠀⢎⣺⠀⠁⠩⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣕⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀
⣽⡣⠀⠀⣀⣠⣿⣿⣿⣿⠯⠁⠀⠀⠀⠀⢵⣾⡤⠄⠀⢀⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀
⡞⠛⠁⢼⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⢰⣿⣿⡶⠀⠀⠺⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠐⡿⡻⣿⣿⣿⣿⣿⣧⠀⠀
⠀⠀⠀⠀⢀⠀⣆⣾⣿⡧⣼⣿⣿⣿⡿⡿⡢⣾⣿⣿⡟⣏⣹⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣀⣰⡬⡠⣩⣿⣿⣿⣿⣿⣿⣿⣿⣲⣾⠟⠁⢸⢏⠏⢠⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣻⣺⠇⠀⢈⣙⡻⠋⣨⣟⣿⣻⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣟⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠟⣡⠟⢠⢀⢀⣦⣿⠿⢁⣼⣿⣿⣧⣽⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡹⣿⣿⣿⡟⠉⡈⠿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⢟⣡⢺⠆⠀⠀⣿⣽⣿⠋⠀⢸⣛⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘⣿⣿⢹⣼⣿⣆⠈⢻⣿⣿⣿
⣿⣿⣿⣿⠟⡡⠚⠀⠀⠀⠀⠀⠘⠿⠃⠀⣱⣾⣿⣿⣿⣿⣿⣿⢿⣲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⠞⣽⣿⣿⣿⣿⣿⣿⣿⢿⣞⢿⠈⣿⣿⣿⣷⣄⠙⢿⣿
⣿⣿⢟⡡⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠛⠿⣿⣿⣿⣿⡿⠓⣶⣿⣿⣷⣿⣿⣿⣯⣽⣿⠖⠛⠛⠻⢿⣿⣿⣿⣿⣿⣿⣗⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣿⡇⢰⣿⣿⣿⣿⣿⣦⡀⠹
⠋⡰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠘⣛⣙⣻⣛⠃⠈⠉⠛⠛⠛⠛⠛⠛⠛⠛⠃⢀⣀⣀⣀⣬⣿⣿⣿⣿⣛⣛⣛⡚⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠻⠿⠿⠿⣯⣷⣞⣻⣿⢇⢈⠚⣿⣿⣿⣿⣿⡟⢦
⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠮⠃⠀⠀⠀⠀⠃⠙⠻⢿⠁⠀⠀⠀⠀⠀⠀⠠⢴⣷⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡹⣿⣿⣿⣿⠀⠹⡦⠀⠿⣿⣟⡏⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠁⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⣷⣆⠀⠀⠀⠀⣰⣾⣿⡿⠟⠋⠁⠀⠉⢻⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣾⣿⣿⣿⣿⣿⣿⠀⠆⠘⡄⠀⠑⠓⠠⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⡿⠛⠛⠁⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⢹⣿⣿⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢾⣾⡛⣿⣿⣿⠿⠟⢻⠆⠐⠀⠈⠄⠀⢀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠠⠊⠀⠀⢡⠀⠀⣠⣿⣿⣿⣿⣿⠁⢠⡂⣀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠄⠀⠀⠀⠀⠀⠨⣿⣿⣿⣿⣿⣷⣆⠫⠚⠀⠀⠀⠈⢆⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡐⠁⠀⠀⠀⠸⠀⣰⣿⣿⣿⣿⡿⡃⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⠖⢀⣴⣾⣿⣿⣿⣿⣿⠿⢟⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⢀⠀⠀⠀⠀⡀⠀⠙⢿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀
⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⠏⠃⠀⠀⠀⡤⣆⡀⠀⠀⠀⠐⣀⣄⠀⢠⣾⣿⣿⣿⡿⠟⠋⠉⣠⣾⣿⣿⡿⠿⠋⠀⠀⠀⠀⠀⠀⡀⠠⠀⠀⠄⠀⠀⠀⠈⠅⣜⣿⣿⣿⣿⣴⡄⠀⠀⠀⠀⠀⢣⡀⠀
⠀⠀⢠⡾⠃⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⡿⠀⠀⠀⢱⠥⢇⣠⠀⣀⣔⣲⣆⡐⠂⠀⢹⣿⣿⣧⠀⠀⢰⣿⣿⣿⣿⣶⣶⣿⣿⣷⣶⣶⣦⣤⣤⣤⣼⣶⡕⠞⢓⠁⠂⠀⠷⠒⠛⠹⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⢳⡀
⠀⣰⡟⠁⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠟⠀⠀⠀⠀⠰⠽⠦⠷⠶⠆⠕⠶⠶⠞⠠⠀⠀⢻⣿⣿⡁⠀⠀⠉⠙⠛⠙⠋⠋⠉⠉⠉⠉⠉⠉⢻⣿⣿⣿⡿⣏⢜⣸⣀⡁⠀⠀⣀⡀⠀⣻⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢻
⣼⠏⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⠋⠀⠀⢀⠀⠛⠛⠈⠀⠉⣽⣯⣿⣿⣿⣽⣿⣥⣤⠀⣿⣿⣇⠀⡄⡆⣠⣤⣤⣤⣀⢄⠄⠀⡀⠀⢀⣾⣿⡿⠁⠀⣀⣠⣲⣆⠀⠀⠀⠀⠀⣀⣶⣾⣿⣿⣷⡃⠀⠀⠀⠀⠀⠀
⠃⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠠⠀⢀⠀⠬⣹⠿⣿⣿⢿⣿⣟⣫⣥⣶⣿⣿⣿⡀⢿⡇⣿⣿⣿⣿⣿⣿⣶⣦⣯⣄⣛⣍⣻⣧⣶⣤⣿⣷⣿⣿⣄⠀⠀⠀⢰⢄⣙⣿⣿⣿⣿⣿⡂⠀⠀⠀⠀⠀
⠀⠀⠲⡶⠀⠀⢀⣼⣿⣿⣿⡿⠋⠀⠀⠀⢀⠀⣠⢴⢿⠔⠀⡱⣲⡚⣿⣿⣾⣛⡛⣍⣉⣉⣉⣛⣿⣅⣾⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡀⠀⠔⣤⣾⣾⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀
⣧⠀⠀⠋⠀⢀⣾⣿⣿⣿⣿⡄⠀⠀⠀⠀⢋⣷⡁⠐⠌⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣅⠀⠀⢺⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀
⣿⡣⠀⠀⣀⣠⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠰⣾⠄⠄⠀⠀⢀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀
⡟⠛⠁⢼⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⢰⣾⣿⡏⠀⠠⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠲⡚⠘⢿⣿⣿⣿⣿⣇⠀⠀
⠀⠀⠀⠀⠀⢀⣈⢴⣷⣇⣿⣿⣿⣿⡿⡟⡡⣺⣿⣿⡛⢏⣘⣻⣿⣿⡿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣀⣰⢌⣠⣤⣿⣿⣿⣿⣿⣿⣿⣯⣲⢾⡚⠁⠾⣿⠝⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣹⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⣏⡺⠇⠀⢨⢵⡋⠁⣠⣷⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣟⣿
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⡟⠛⠁⢼⣿⣿⣿⣿⣿⠻⠃⠀⠀⠀⠀⢀⣾⣯⡃⠀⠀⠻⢿⣻⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠐⠉⠉⢿⣿⣿⣿⣿⣇⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 2148

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/07/20/Conspiracy_or_grooming_Alex_Jurado_Voice_of_Reason_compared_to_.shtml
    Gemini version at gemini://gemini.techrights.org/n/2025/07/20/Conspiracy_or_grooming_Alex_Jurado_Voice_of_Reason_compared_to_.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Conspiracy or grooming? Alex Jurado, Voice
of Reason compared to Outreachy⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jul 20, 2025


Reprinted with permission from Daniel_Pocock.


In June 2025, there was a lot of media attention on the case_of_Alex_Belfield,
a former BBC presenter who set up his own podcast using the name Voice of
Reason since 2007.


In the US, Alex Jurado is a Catholic influencer who also uses the name Voice of
Reason since 2023.


On the weekend from 11 to 13 July, protestants in Ireland celebrate the
Williamite conquest of the 1690s. A key feature of the celebration is the
burning of huge bonfires in the regions controlled by loyalists.


On 14 July, a protestant web site, Protestia, attacked a Catholic influencer,
Alex Jurado with accusations_of_grooming. Is this a new phase of the
institutional_abuse_crisis or is it another example of social_control_media out
of control, a world where gossip spreads at the speed of light and truth is
optional?


Given the timing of the report, could it be a hoax on the back of the bonfire
weekend? Some hoaxes are totally false. Many hoaxes take real documents or
photographs and introduce very small changes to fool people or misrepresent
what really happened in some way.


The Protestia article includes the words "grooming" and "teen" in the title and
it features an undated picture of Jurado at the top of the page. Jurado told
another podcast he is 30. Anybody who only takes a brief look at the article
will form the impression that the alleged grooming happened recently.


It reminded me of the way accusations are being falsified in free, open source
software communities, especially the high profile example where_people_were
fooled_and_bullied_into_accepting_rumors_about_Dr_Jacob_Appelbaum.


Two days later somebody added a footnote at the bottom of the article
explaining they don't really know when the messages were sent and they don't
know the age of the girl.


     Update: The original complaintant has issued a retraction, writing
     “Upon reflecting on the legal safeguards involved—as well as
     recognizing a failure on my part to ensure full due process—I
     acknowledge that I cannot definitively label the victim as 14…..After
     consulting with other mediators involved in the matter, we have
     agreed that the more accurate and appropriate terminology at this
     stage is to refer to the victim as a minor as a blanket term between
     the ages of 14-15-16.


In the same article, they told us that Jurado started teaching Catechism when
he was 16 years old. We could be looking at messages sent more than ten years
ago between an 18 year old voluntary Catechism teacher and a 16 year old girl.
It is definitely not a relationship between a 30 year old man and a 14 year old
girl.


When you accuse somebody of grooming, you are accusing them of a serious crime.
You need to prove the year when the messages were sent, you need to prove the
age of the woman and in New Mexico, where Jurado is based, you need to prove
the person sending the messages was more than four years older. These three key
facts are all missing from the Protestia web site.


If the messages are real then it is highly unethical to mix the relationship
with a student/teacher relationship in Sunday school. Parents would expect the
church to detect and prevent unethical behavior like that. Nonetheless, if they
had similar ages we can't call it grooming.


§ Fact check: did Prince Alfred date a 14 year old?⠀➾


Take a look at the report I prepared about Prince Alfred. A research paper
published by University College London (UCL) claims the Russian princess was 15
when she met her future husband. When a specific number like that is provided
in a research paper it provides a legitimate reason to publish evidence that
may contradict the publisher. I did that meticulously by_publishing_a_list_of
every_date_from_the_moment_each_of_them_was_born. Therefore, we can say that
the journal article was wrong, the princess was not 15, she was 14. I reached
that conclusion by presenting all the evidence in the correct sequence. We
don't know nearly enough about the age of the woman Jurado dated and maybe it
didn't even happen at all.


§ Lessons for the church⠀➾


The real lesson here is for the church: it is time to ban phones and social
media for kids. What is the use of sending children to spend an hour at Sunday
school once per week if they are staying up in bed for two or three hours every
night with a phone under their blanket being monitored and brainwashed by a
much older man, Mark Zuckerberg?


How insane is it that the messages this girl wrote as a child have been trusted
to some third party, leaked and then published for the whole world to see? The
only way to prevent that type of thing is to snuff out the phones.


There are millions of young men under 30 who had these sexting relationships as
teenagers. Most of them grew out of it in their early twenties. Any man under
30 could be ambushed like this at any moment. What happens when a young
Catholic is ordained as a priest or elected into Congress and somebody spoils
the party with copies of messages from his first teenage romance?


§ Outreachy grooming saga: vilified for proof⠀➾


The proof in the Outreachy grooming saga was much more significant. While
Jurado may have only been two years older than this woman, the Albanian man
Elio Qoshi was 24 when people told me his girlfriend was 16. That is eight
years difference. Both of those dates can be confirmed in various ways. The
woman told me herself that she was 16 when I first met her in July 2017. I
don't know if they started the relationship before she turned 16.


The second big proof in the Outreachy grooming saga is on_the_archived_copy_of
the_web_site_for_Ura_Design. It shows us very clearly that each of these women,
including a former Outreachy and the 16 year old girl, were listed as employees
of the Albanian gangmaster. This proves the man had financial influence over
all the women.


If a 24-year-old manager at McDonalds is dating a 16 year old employee he gets
sacked. Its that simple. When the CEO of McDonalds dated an employee, he_got
sacked_too.


We can see that Ura Design and the Tirana hackerspace were both enabled by
donations and small projects from larger open source software organizations in
Europe and the US. I promptly informed Mozilla Foundation about my concerns. We
discussed it in Debian. People didn't want to rock the boat. The third piece of
proof are the emails I sent and the responses.


Here_is_the_internal_complaint_about_the_harassment. The date is 12 October
2017 so the misfits publishing alternative statements about harassment are
lying. I have redacted the section that identifies underage victims.


The_next_internal_email from Larissa Shapiro at Mozilla admits that kids are at
risk.


Emma_Irwin_from_Mozilla_admits_this_is_a_serious_matter and asks me to speak to
Marta, Mozilla's HR investigator.


Instead of thanking me, they vilified my family.


Why does McDonalds protect their brand from this type of thing but open source
software organizations spend_over_$120,000_on_legal_fees_to_cover_it_up?


The community elected me as a representative in April 2017. As a
representative, I took reports from victims and then I even witnessed this
behavior with my own eyes. The people accusing Alex Jurado are all remaining
anonymous and hiding behind a protestant web site. I publicly identified myself
as a witness to give my support to the women and other men have vilified my
family for that.


The next piece of evidence in the Outreachy grooming scandal is that women_were
asked_to_sign_a_non-disclosure_agreement_(NDA). I never saw an NDA in any other
voluntary open source software organization. What are they trying to hide with
that?


A fifth piece of evidence is the_witness_statement_of_Arjen_Kamphuis. He sent
me the message with a digital signature so even though he disappeared, the
digitial signature proves he is an independent witness and it is not a message
forged by somebody else.


A sixth piece of evidence is that the Albanian_female_whistleblowers created an
association in Switzerland, Open Source Diversity and the association opened a
Swiss bank account. Kristi is now employed at the GNOME_Foundation. Jona was a
finalist in Red Hat's women in open source awards.


We took a copy of the Debian.ch Swiss constitution and adapted it to create
Open Source Diversity as a Verein under Article 60 of the Swiss Civil Code.


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Kristi_Progri,_Jona_Azizaj,_Daniel_Pocock⦈_


 


Then we went to Swiss PostFinance and opened an account:


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Kristi_Progri⦈_


 


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Jona_Azizaj⦈_


 


When I created the Software_Freedom_Institute, I felt that I had a conflict of
interest with Open Source Diversity so I resigned from that other role.


The signature forms for the bank account show that each of the women had
individual signing authority. They did not depend on me as a gatekeeper for
anything.


Under Australian law, coercive control of women is a crime. The Non-Disclosure
Agreement is a clear example of coercive control.


The creation of a separate association and the opening of the bank account was
undertaken to help female victims of crime to avoid coercive control by the
local Albanian men.


Other people in Debian violated the privacy of the Albanian_female
whistleblowers by leaking rumors about abuse.


Please see the chronological_history_of_how_the_Debian_harassment_and_abuse
culture_evolved. █


    * Links_20/07/2025:_Security_Breaches_and_Former_'Open'_'AI'_Engineer_on
      Hype_and_Culture_Issues
    * Are_You_Served?


⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠻⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣻⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣷⣿⠻⣷⠾⡻⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢸⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣏⣿⣿⠻⣾⣿⣻⣿⣽⣿⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡿⣸⣗⣹⡷⣛⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣻⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣾⣿⣾⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡟⣧⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣷⣾⡖⢿⠙⡟⢛⠝⡏⢸⣉⣇⣱⣁⡽⠿⠿⠿⠿⠿⠿⠿⠿⡛⣛⣛⣛⣻⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣾⣟⢻⡟⢽⡿⣿⣿⢍⣟⣿⣂⠏⠠⠻⠧⣿⠿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⣯⣥⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⡥⢭⣬⠥⠲⠒⣶⣶⣶⣶⣶⣶⡶⠿⠿⠿⠿⠿⠿⠿⠿⠿⠛⠛⠛⠻⠿⠿⠿⠿⠿⢄⣘⣛⣛⣉⣉⣁⣐⣐⡠⢤⠤⠤⠤⠤⠤⠤⢌⣒⣒⣒⣒⣿⣾⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⣧⡭⠽⠿⠿⠿⢿⣿⣿⣿⣟⣋⣉⣁⣀⣐⣴⣶⣤⣤⣤⠤⠬⠤⠤⠶⢶⣶⣶⣶⣖⣒⣒⣒⣚⣫⣽⣿⣯⣭⣭⣭⡭⠭⡵⠶⠶⠶⠶⣶⣶⡶⠖⠟⠛⢻⣿⣭⣏⣙⣛⣻⣩⣿⣚⣧⣥⣄⣤⣶⣿
⣿⣿⣿⣿⣿⣿⣿⣛⣗⣋⣭⣭⣭⣭⣭⣭⣭⣭⡭⠔⠶⠲⠶⠖⣾⣶⣾⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣠⣤⣤⣼⣿⣧⣤⣷⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣋⢹
⣿⣿⣿⣿⣿⣿⣿⣷⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠲⠶⠶⢲⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠉⢿⢰⣾⡿⡿⣿⡿⢿⡻⠛⣿⢟⡭⢹⣿⣿⡿⠿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣾
⣿⣿⣿⣿⣿⣿⣿⢹⣬⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⠶⠶⠖⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⢠⢙⡣⠊⠁⠏⣿⣷⣆⣌⣬⣶⠈⠵⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡏⣿⣿⣿⣿⢸⣬⣭⣥⣿⣿⣿⣿⣿⣿⣿⣿⠶⢶⠶⠿⠟⠻⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡇⣿⣿⣿⣿⢸⣨⣬⣥⣥⣤⣤⣤⣿⣿⣿⣿⡷⠶⡶⠞⢷⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻
⣿⣿⡗⢻⣿⣿⣿⣿⣉⣉⣉⣈⣸⣿⣿⣿⣿⣿⣿⠶⣴⡶⠶⠾⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣿⣿⣿⣿⠿⠿⢿⠿⠿⠿⠿⠿⠟⠛⠛⠛⠛⡛⡛⢋⣛⢉⣹
⣿⣿⡇⢸⣿⣿⣿⣿⣉⣉⣉⣉⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⡄⠖⡶⡹⢋⣏⢹⡉⡏⣿⣿⣿⣿⣿⣿⣿⡿⢿⠿⠿⠿⠿⡿⠿⢿⣿⣿⣿⣿⣿⣥⣤⣤⣤⣤⣤⢲⡖⢲⣾⣶⢸⠢⣰⣶⣾⡍⢹⠫⣹⣹⣤⣿⣿⣿⣿
⣿⣿⡧⢸⣿⣿⣿⡏⣏⣋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡋⢶⢦⢶⣮⣬⣭⣭⣭⣽⣶⣷⣾⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⠿⠿⠿⠿⣿⣿⣿⣿⣧⡤⠼⠿⠿⠿⢭⣴⣥⣬⣁⣉⣉⣐⣪⣴⣴⣴⣤⣤⣮⣶⣭⣾⣿⣿⣿
⣿⣿⣿⢸⣿⣿⣿⡇⣏⠛⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠃⠈⠀⠀⠅⠀⢉⣉⣉⣉⣉⣉⣫⣋⣁⣠⣤⣤⣤⣬⣥⣵⣧⣮⣴⣶⠶⠶⠶⡶⠿⠖⠞⠿⠛⠛⠛⠛⠏⠛⢛⢛⣛⣹⣉⣉⣏⣁⣁⣥⣥⣄⣤⣤⣤⣤⣧⣴
⣿⣿⣿⢸⣿⣿⣿⣧⡵⣶⡶⠶⠶⠶⠶⠶⠶⠶⠿⡟⠛⠛⠛⠛⡏⠛⠛⡛⢉⡉⡉⠉⠉⠉⡉⠩⠬⠤⠤⠤⠐⠀⠃⠠⣴⣾⣴⣶⣶⣷⣶⣶⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⠘⣿⣿⣿⣿⠃⠓⠒⢲⡒⠚⠒⠒⣆⣈⣋⣉⣍⣭⣩⣭⣭⣥⣤⣦⣤⣶⣦⣾⣶⣶⣶⣶⣶⣶⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⣏⢉⣉⣉⣉⣉⣹
⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣏⣉⣉⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⢿⠿⠿⠿⠿⠟⠛⠿⠿⠛⠛⠛⠛⠛⠛⣙⣻⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠟⠿⠿⠿⢿⠛⠛⠛⠛⠛⠛⢻⠛⠛⠋⢹⣉⣏⡉⣉⣉⣉⠉⠁⠤⠤⠤⠤⠀⠤⠤⢨⠐⠔⠒⠒⠒⡔⢰⠐⠊⣀⣀⣉⣉⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣇⡈⠉⡥⠤⠤⠠⠜⠤⠤⠀⠀⡀⠐⠒⠒⠒⡖⠒⠚⠀⣘⣱⣉⣉⣈⣏⣉⣉⣁⣠⣤⣤⣧⣤⣼⣴⣤⣤⡤⠶⠶⠶⠶⠾⠶⠶⠶⡞⣚⣛⣛⣛⣛⣛⠛⢟⣋⣭⣭⡭⡭⡽⡯⠽⠿⠷⢿⡟⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⡶⠷⠶⠶⠶⠶⠶⠶⠶⠟⣻⣛⣛⣛⣛⣛⣛⣛⣟⣩⣭⣭⣭⣭⣭⣭⣭⣽⣴⣶⣶⣶⣶⡖⠒⠒⠒⢲⣿⡏⠉⡟⢛⣉⣉⣹⣗⣺⣉⣈⣁⣡⣿⣬⣤⣤⣤⣼⣶⣷⣶⣷⣶⣶⣶⣿⡇⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⡞⠚⢻⣿⣿⣿⣿⣿⣿⣿⣿⣀⣉⣈⣉⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⠿⢿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⡗⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⡟⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣉⣁⣉⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣤⣵⣿⣿⣟⠛⣿⢿⣿⢿⠿⣿⣿⣿⠛⡿⠟⣟⡿⢧⢻⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣋⣩⣉⣿⣿⣿⣿⣿⡿⣿⠿⠿⣿⡿⡟⢟⠟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡨⣀⣂⣴⣦⣬⣿⣿⣿⣴⣡⣴⣥⣬⣕⣸⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠿⠻⠛⠛⣛⣻⣿⣿⣿⣏⣙⣩⣁⣀⣤⣼⣥⣶⣼⣴⣦⣶⣿⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽
⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠿⠻⠿⠛⣿⣿⣿⣿⣿⣿⣏⣉⣉⣁⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢶⣿⢾
⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠲⠷⠻⢿⣿⣿⣿⣿⣿⣿⣏⢉⣉⣉⣩⣿⡿⡿⢿⠿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠛⠛⢛⣋⣉⣉⣉⡉⢉⣉⠍⡩⢡⢬⠀⣤⣶⣤⣦⣤⣴⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠶⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠘⠻⠀⠞⠹⠭⠧⢜⣂⣀⣃⣘⣛⣛⣛⣟⣩⣭⣭⣭⣭⣭⣭⣭⣭⣼⣿⣿⣿⣿⡟⠛⢻⣿⣿⠿⠗⠃⠸⠿⠇⠆⠸⠙⠁⠁⠘⠚⠂⡛⠛⣽⣽⣽⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠲⠾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠅⠻⠃⠁⠉⠑⠟⠛⠛⠛⠛⠛⠛⠛⠛⠋⠋⣉⣉⣉⣉⣉⣉⣉⣉⣀⣩⣭⣭⣭⣭⣭⣭⣭⣥⠶⠶⠶⡶⠶⠶⠖⠶⠶⠻⠛⠛⠛⠛⠛⠛⡛⣉⣉⣏⣉⣿
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                    ䷩ 𝚕𝚒𝚗𝚎 2446

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/07/20/Framed_by_social_control_media_Alex_Belfield_Voice_of_Reason.shtml
    Gemini version at gemini://gemini.techrights.org/n/2025/07/20/Framed_by_social_control_media_Alex_Belfield_Voice_of_Reason.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Framed by social control media: Alex
Belfield, Voice of Reason⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jul 20, 2025


Reprinted with permission from Daniel_Pocock.


July 20, 2025


Tech platforms enable a level of conflict that is disproportionate to the
ability of individual participants to cope.


If Alex Belfield, a former BBC presenter who promotes himself as the Voice of
Reason, was hit by a bus there are ten more characters waiting to replace him.


Even more significant is the rise of AI generated impersonation. In other
words, a deep-fake Belfield conjured up by software.


Belfield was sent to prison for accusations of stalking. He was recently
released on parole. During the two years he was put away, has the Internet
become safer or has it become worse?


If the Internet has only become worse anyway, what was the point of spending
taxpayer's money putting him in prison? The BBC is also funded by taxpayers. It
seems that there are a lot of these disputes in the BBC's orbit. Most
organizations try to resolve problems like this without going to trial and
without publicly denouncing their former employees.


Nonetheless, I was curious to know what was the alleged act of stalking that
prompted the prosecution. Trying to access news reports, I felt that I was
being stalked by the BBC web site trying to force their cookies on to my
computer:


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Alex_Belfield,_BBC,_cookies,_stalking⦈_


 


The cookies are not made in the oven. The cookies in your browser were mostly
put there by men. What makes the men at Google any different from Alex
Belfield?


When people talk about a " Code_of_Conduct" in open source software, what they
really men is they don't want independent professionals to talk about the men
at Google, Facebook and their ilk.


Nonetheless, after getting past the cookie warnings, I couldn't see any
examples of what Belfield actually did.


The alleged victims mostly work in the media. In terms of physical stalking,
they face a much higher risk than most of us. They are apprehensive about
somebody coming to their home uninvited. There is no evidence that Belfield
ever engaged in this type of physical stalking and any accusations to that
effect only arise after people elevated the conflict online.


Yet in terms of social_control_media and online stalking, people have a right
to engage with public figures on those platforms. If you go to a celebrity's
house then it can very easily be described as stalking but if you engage with
them on social_control_media every day, that doesn't cross the threshold of a
crime.


Moreover, social_control_media tends to groom people to become stalkers. The
algorithms create a connection between Belfield and the people he engages with.
As outsider observers, we may think that Belfield has commented about those
people spontaneously and without any provocation whatsoever. The accusers
rightly claim they did nothing to provoke Belfield. But we are missing the big
picture.


As the saying goes, you can't understand a man until you walk a mile in his
shoes. If you wore Belfield's shoes for a day and if you had his phone for a
day you would see all the things that algorithms are showing him. If Facebook
is spontaneously showing him every post from Jeremy Vine and encouraging
Belfield to comment on Vine's posts then Belfield may legitimately feel like
the algorithms had created a relationship between him and Vine. It doesn't seem
fair that Belfield was alone in the dock on trial. Should Facebook be on the
hook for winding him up?


Looking through the statements people made about mental health impact, if we
really care about those people and the impact on their health then we need to
look past Belfield and look at the technology and the way society has given
Silicon Valley free reign over our minds.


Another key fact in the case is the distinction between the eight victims. The
jury accepted that four men were victims but the jury did not accept the four
female victims.


Looking more closely, we find one of the women had distributed pictures of
Belfield to her neighbors and asked them to look out for him in the street.
There is no evidence that he ever visited any of the accusers at their homes.
The distribution of these pictures was an act of vilification that may have
undermined the stories these women told.


Imagine if the roles were reversed, a male BBC employee distributing pictures
of a female colleague to his neighbors. Why do we tolerate women spreading
rumors like this but we find it abhorrent when a man does exactly the same
thing?


Yet when women shared pictures of Belfield with their neighbors, it looks like
they were hoping to trigger some negative reaction towards Belfield. There
simply isn't any other justification for them to focus their neighbors'
attention on Belfield. They are using him as a kind of sport, in other words,
they may have done exactly the same thing they accused him of doing.


Yet I suspect the women didn't do things like this spontaneously. Social media
bosses measure their success in terms of attention share, in other words, how
many minutes per day each woman spends on the platform. The platforms
deliberately feed womens' fears and encourage them to go on these witch hunts.


Therefore, just as the algorithms may have prompted Belfield to make regular
comments about his media colleagues, the same algorithms have also milked the
negative reactions for all they're worth.


One of the news reports goes into some detail about Belfield's attempts to set
up a streaming service outside Youtube. It appears he was making far more money
on Youtube than asking people to pay a subscription. This situation also
reveals a lot about the tech platforms. If Youtube was able to pay Belfield so
much money then they are also making a lot of money themselves from the very
same content and conflict.


What is it that makes Google's Youtube so much more successful at monetizing
Belfield than any other website? Ironically, it is the cookies in web browsers,
the technology enabling men at Google Analytics to stalk the browsing habits of
Internet users far and wide.


Read more about the perils of social_control_media and what you can do about
it. █


    * Gemini_Links_20/07/2025:_Summertime_and_OCC25_Wrap-up
    * Links_20/07/2025:_Fending_Off_BRICS_and_US_Government_Attacks_Its_Own
      Media_(Like_China_and_Russia)


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                    ䷩ 𝚕𝚒𝚗𝚎 2634

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

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⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ IRC Proceedings: Saturday, July 19,
2025⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jul 20, 2025


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


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


                                              #techrights_log                                                                                           #boycottnovell_log


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


                                         #boycottnovell-social_log                                                                                        #techbytes_log


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


                          Enter_the_IRC_channels_now


    * Gemini_Links_19/07/2025:_Git_For_Authors_and_Filtered_Antenna
    * Over_at_Tux_Machines...


⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⢠⣾⣑⣿⢩⡏⠃⠀⠀⠀⠀⠀⠉⠉⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⠿⣿⣿⣿⣿⣿⣿⣦⣄⡀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⡉⠂⠀⠀⠀⠀⠀⢀⠀⠀⠀⠈⢿⣿⣽⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠉⠙⠟⠰⢗⡀⠀⠙⢿⣿⣿⡻⢿⣿⣿⣿⣷⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡿⡿⠿⠀⠀⠀⠠⠖⠂⠀⠀⠀⠀⠢⠌⠿⣿⣿⣿⣿⣿⣿⣿⣿⣅⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠉⢿⣿⣶⣾⣿⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠚⠉⠉⣯⣿⣿⠇⠀⠀⠀⠀⠀⠔⠛⠉⠰⠲⠆⢀⣀⢈⣉⣽⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠗⠈⠁⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠐⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠈⠛⣿⣿⣿⣿⠟⠻⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠙⠛⠀⠀⠻⢿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣶⣷⣄
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣠⢤⡀⠀⠀⠀⠀⠨⣻⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣾⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⣠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⡀⢐⡌⠻⢟⣴⣟⠁⣿⣄⡀⢠⣼⣿⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣠⠈⠉⠙⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣠⡄⠀⠀⠀⠀⠀⣮⢳⣖⠿⠀⢸⣷⡷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⢀⡄⠈⠻⢿⣿⣭⢤⡀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠉⠑⠀⠀⠀⠀⠀⢹⣿⣿⣿⣆⢸⣿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⢺⣷⠱⠄⠐⠛⢻⡷⠔⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢀⣀⣀⠀⠀⠙⠂⠤⡀⠠⠀⠀⠀⠀⠠⣴⣿⣿⣿⣿⣿⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡍⠀⢠⣴⣶⣤⠀⠻⠿⠦⠀⠀⢁⣌⠵⠲⡅
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠈⠙⣦⡀⠀⠀⠈⠀⣄⠀⠀⠀⠀⣭⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡀⣀⣾⣿⣿⠘⠀⠀⠀⠀⡀⠀⠀⠙⠑⠦⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⢀⠄⠀⠂⢈⣿⣇⠛⣿⣿⣿⣿⣿⡉⢹⡿⠿⠿⠙⢯⣿⣿⣿⣁⣾⡖⠈⣻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣮⣟⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠀⠀⢸⣿⣏⠀⢿⣿⣿⣿⣿⡄⠁⠀⠀⠀⠀⠩⠟⢛⣿⣿⡟⠁⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣿⡿⠄
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⠀⠴⠒⠸⣿⣿⢷⣽⣿⣿⣿⡿⠃⠀⠀⠀⠀⢀⡤⣶⣿⡿⠏⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠗⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠄⠀⠀⠀⠂⣼⠇⠙⠁⠹⣿⣿⡿⠃⠀⠀⠀⠀⢒⣻⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⢄⢠⡀⠀⠀⠙⠁⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠂⠀⠀⠀⠀⠈⣻⠆⠀⠀⠀⠀⣰⡲⠖⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢀⠂⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⣸⡅
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 2858

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/07/20/Jamie_Zawinski_Complained_About_Wayland_Then_Decided_to_Give_It.shtml
    Gemini version at gemini://gemini.techrights.org/n/2025/07/20/Jamie_Zawinski_Complained_About_Wayland_Then_Decided_to_Give_It.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Jamie Zawinski Complained About Wayland,
Then Decided to Give It a Go, Now Complains Again About
Wayland⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jul 20, 2025,
updated Jul 20, 2025


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇DNA_Lounge⦈_


Jamie Zawinski is known for all sorts of things, including Mozilla and
XScreenSaver. Zawinski is generally regarded as an important person in the Free
software community, even an historic figure at a relatively young age. I spoke
to him a few months ago.


So several weeks ago we cited his rants about Wayland. He has since then
attempted to explore it and this is what_he's_saying_now: "Welp, I got crickets
in answer to my question, "How do I find the wl_surface backing an Xwayland X11
Window?" and that does not bode well for XScreenSaver ever being able to lock
your screen on Wayland."


Wayland isn't meant work to and Xwayland is meant to pretend that it can work,
even if just barely.


As someone told me today in private: "Wayland messes up several assistive
technology features I may need which ChromeOS has. To be honest, X11 window
managers usually had them too. GNOME put a lot of effort into being ADA
compliant at one point. Even public libraries used GNOME sometimes. Now they
can't. If they go to use GNOME and it's not ADA compliant, anyone who has
trouble using that computer because of this can sue the library. So they end up
using Windows. It's sad that in 20 years, GNOME has taken so many steps
backwards."


Ask IBM (Red Hat) why it's worth throwing so much away just for Wayland
fanaticism. █


Photo credit: Owner_of_DNA_Lounge,_on_verge_of_closing_club,_calls_for_'ideas'
to_keep_it_open


    * Slopwatch:_Planet_Ubuntu,_LinuxSecurity,_and_More
    * Gemini_Links_20/07/2025:_Summertime_and_OCC25_Wrap-up


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⠒⠀⠀⠐⠒⠃⢤⡟⠙⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣹⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣴⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣤⡆⠀⠀⠀⢰⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿
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⠀⡇⣿⠀⠀⠐⣿⣷⣼⣿⣿⣿⣦⣸⣿⡇⢀⣼⣿⢻⣿⣧⠀⠀⣿⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢠⣿⣿⣤⣤⣴⣿⡿⢹⣿⡇⠙⢿⣿⣿⣇⣾⣿⣿⣿⣿⣿⣇⠀⣿⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢈⣉⠉⠉⢉⣩⣀⡀⣬⡍⢡⣤⣤⣍⣭⣍⣭⣭⣤⣠⣤⣤⡤⠀⣿⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢸⣿⣤⣴⣿⣇⣼⡿⣿⣧⣿⣿⣿⢻⣿⡿⣿⣼⣿⣿⣿⣿⡧⠀⣿⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢰⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠉⠁⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⣘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠠⠤⠀⠈⠏⠉⠉⢿⡿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠟⠛⠋⠉⠉⠉⠙⠛⠙⠛⠛⠛⠛⠛⠛⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠐⠂⠚⣿⣿⣿⣿⣶⣦⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⠤⠄⠀⠀⠀⠀⠀⠀⠘⠿⠿⠿⠿⠤⣤⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠐⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣩⣭⣭⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣦⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠈⠉⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠋⠉⠉⠉⠉⠉⠙⢉⡙⠋⠉⠉⢻⣿⣿⣿⣯⠉⠉⠉⠈⠉⠉⠉⠀⠀⠀⠈⠀⣠⣴⣶⣶⣿⣿⣿⣿⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⠟⠉⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡄⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠃⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣟⣿⣿⣧⠀⠀⠀⣤⣤⠸⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢸⣿⣿⣿⠟⠀⠀⠀⢧⣄⠀⡀⠀⣾⠋⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⠀⡀⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣛⣿⣿⡧⠠⠖⠻⡂⢐⣿⣧⣤⣿⡛⠲⣤⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⢹⠊⠓⠃⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢸⠀⠀⣠⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡁⠀⢐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠉⠙⡉⠀⠀⠀⠀⡀⠀⣀⣀⣀⣀⣀⣠⣤⣤⣤⣄⡠⣀⠔⢿⣟⠁⠀⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠴⠀⠀⠁⠦⠷⠷⠛⠛⠚⠚⠛⠓⠛⠋⠘⠈⠈⠁⠁⠈⠈⠀⢻⣿⣿⡇⠀⢀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 2944

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/07/20/Microsoft_is_at_0_Market_Share_in_Most_Areas.shtml
    Gemini version at gemini://gemini.techrights.org/n/2025/07/20/Microsoft_is_at_0_Market_Share_in_Most_Areas.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Microsoft is at 0% "Market Share" in Most
Areas⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jul 20, 2025


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


Running a cartel in one market segment does not assure sustainability


There have been many articles this past week about the "market share" of GNU/
Linux, e.g. half a dozen listed in_this_page (we saw at least half a dozen
more). But all those articles speak about desktops and laptops.


What's missed_out?


    * Various integrated circuits
    * Web servers
    * Mail servers
    * Supercomputers
    * Tablets
    * Phones
    * Home appliances
    * Cars
And so on and so forth... it goes rather far. Depending on the taxonomy chosen,
there may be dozens of categories other than desktops and laptops.


In E-mail, for instance, clap_for_Microsoft_at_0.2%_"market_share". Web
servers? About_2%. In top supercomputers, 0%. In phones, also 0%. When did you
last enter an automobile that ran Windows?


This is why yesterday we published Linux_Already_Has_About_60%_of_the_"Market"
(depending on what one means by "the market").


The corporate media likes to talk about how Intel is doomed, yet that_same
media_refuses_to_say_the_same_about_Microsoft_only_because_of_the_ludicrous
share_price. What are such stock valuations based on anyway? Revisit Symptom_or
Hallmark_of_Ponzi_Schemes:_Microsoft_Says_It_Gains_Over_100_Million_Dollars_in
"Goodwill"_and_Its_Speculative_"Value"_Nearly_Doubled_to_$119,329,000,000_in
the_Past_Year_Alone (Microsoft's value is something that does not even exist).


We're all ears if someone can properly explain to us what makes Microsoft
"worth" trillions.


These speculative bubbles are trouble in the making. Even the supposed "market
leader", AWS, has_layoffs..._again. Same as Azure, which has had mass layoffs
every year since 2020. This has nothing_to_do_with_"hey_hi", it's just bad
economics.


They said they were doing so well and "the cloud" was the future. What
happened?


Consider perverse capital flows [1, 2] (few people getting very rich at the
expense of the many who are poor) and also relevant to that discussion is this
report. So a company that allegedly received 14,000 million dollars (14
billion) in "investment" (just recently for only about 1,000 people!) is
already sacking about 25% of its staff. Really? As an associate put it: "Where
did the $14 000 000 000 disappear to so suddenly?"


I said, "was it real money? Or "ma dog invested in ma homework?"


"It was probably funny money," the associate remarked, "When business claim
'cash' that is usually a lie and it is an anything-but-actual-cash transaction.
Like Microsoft v OpenAI."


Remember how Microsoft said back in January it would "invest" 80 billion
dollars in "hey hi". It_very_quickly_turned_out_to_be_a_lie and Microsoft
workers_in_that_area_are_also_laid_off.


Microsoft's future is as bright as Intel's. 3 days ago Microsoft booster Paul
Thurrott wrote: "Where Microsoft is flying high, Intel is circling the drain."


Nope, they are both circling the drain.


The difference is, Microsoft's shareholders don't seem to be aware of it. Not
yet. █


    * "The_moment_MSFT_stock_fails_to_start_tumbling,_that’s_the_beginning_of
      another_corporate_giant_going_under."
    * Ageism_in_Tech


⣛⣛⣀⣀⣀⣀⠀⠀⠤⠤⠭⠭⠥⠤⠤⠤⣤⣤⣤⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣼⣿⣷⣞⣿⣷⣿⣾⣵⣿⣿⣿⣿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀⣀⡀⠀⠀⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⣀⣠⣠⣴⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣝⢿⣟⡛⣿⣿⣿⠿⣻⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣶⣦⡉⠐⠶⠒⣛⣛⣛⣛⣛⣛⣒⠒⠒⢒⣢
⢀⣀⣀⣸⣭⣷⠿⠿⠿⠟⠉⠉⠉⠉⠹⠿⠿⢿⣿⣿⡎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣧⣌⣿⣷⣿⣧⣼⣿⣿⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠀⠀⠀⠀⠀⠉⠉⠈⠀⠀⠀⠀⠀⠈⠉
⢀⣀⣀⣠⣤⣤⣤⠤⠴⠶⠲⠖⢀⣴⣿⣿⣿⣿⣿⣿⣿⣼⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⣿⡿⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠿⠿⣻⣿⣿⣿⣿⣿⣿⣿⣦⡙⢿⣿⣻⣻⣯⡅⢐⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣼⣿⣿⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣶⣼⣿⣿⣿⣴⣾⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⢱⣿⣿⣿⣿⣿⣿⣿⣿⣅⣿⡿⠿⠿⣧⣄⣀⡀⠀⠀⠀⣄⣀⡠⠤⠂⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠋⢁⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⡭⠴⣿⣿⢹⣿⣿⣥⣾⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⡿⢸⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⠶⠓⠛⠁⠄⠀⠀⠠⠤
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⡟⣿⢿⣛⣻⣟⣶⣤⣾⣉⣉⣉⣉⣉⣉⣀⣀⣀⣀⡀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀
⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣼⣻⣿⣿⣿⣿⣟⣑⣿⣿⣿⣿⣿⣿⡘⠳⣶⠯⠽⠿⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣧⣭⣿⠿⣽⣶⣷⡾⣿⣷⡍⢿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⡿⣇⠀⠀⢠⣬⡁⠀⠁⢀⣀⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⣿⣻⣯⣩⡿⣿⣿⡿⢟⣫⡿⣿⣿⣿⣿⣿⡿⢿⣿⣸⣟⡉⠿⣧⣈⠲⢦⣬⣥⡤⠤⠴⣚⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣷⣭⣽⣿⣧⣾⣦⣽⣷⣾⣿⣿⡇⣿⣿⣿⠋⣸⣿⣿⣷⣶⣿⡿⠦⠆⠉⢛⣠⣴⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣷⣿⠹⣿⣿⣿⣿⡿⢿⢿⣿⣟⣿⣧⢺⣿⡇⠀⠀⠀⡈⢉⣉⠁⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠉⠋⠉⠀⠀⢀⣾⣿⣿⣻⡿⠱⣿⣿⠠⣄⣀⣚⣻⣿⣏⣀⠠⢐⢁⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⠟⠛⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠐⠀⣀⠐⠦⡀⠀⠈⢿⣷⣦⣉⠉⠉⠋⣉⣵⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣃⡃⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢱⣖⣦⣐⡒⠽⠛⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣾⡿⠂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠩⠅⠐⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣩⣍⣉⣉⣉⡉⠉⣙⣛⣛⡉⠛⠛⠛⢛⣛⣛⣛⣛⣛⣛⠛⠛⠛⠛
⠛⠋⠛⠛⠋⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⡀⠀⠀⠀⠉⠉⠉⠉⠉⢉⣙⣭⣝
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠉⠁⠀⠀⠀⠀⠀⠉⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⢀⣠⣴⣶⣿⣶⣶⣤⠄⡠⠒
⠀⠀⠀⠀⠀⢵⣶⣶⣤⡄⠀⠀⣤⣾⣿⣿⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣁⣀⣤⣾⣿⣿⣿⣿⣿⣿⣣⠊⠀⠀
⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣷⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠉⠛⠛⠛⠛⠛⠋⠉⠉⠁⠀⠀⠀
⣿⣟⢯⣿⡽⠟⠉⠉⠻⣿⣾⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⢿⣿⣿⣿⣿⣿⠁⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⠟⢻⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣤⣤⣤⣤⣄⣀⡀⠀⠀⠀⠀
⣿⣿⢿⡿⠀⠀⠀⠀⠀⢹⡿⠛⠋⠻⣿⣿⣇⠀⠀⠀⠀⠀⠀⢸⣿⣧⠀⠹⣿⣿⣿⡇⠀⠀⠀⠀⠈⣿⣿⣿⣿⡿⠁⠀⣼⣿⡟⠁⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣴⣶
⣯⣵⢾⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢫⠀⠀⠀⠀⠀⢠⣿⣿⣿⣇⠀⠹⣿⣿⡆⠀⠀⠀⠀⠀⠻⣿⡿⠛⠀⠀⢰⡿⠋⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠛⠛⠉⠉⠉⠉
⣾⢾⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⣤⣶⣶⣶⣄⠀⠀⢀⣠⠀⢿⣯⣿⣿⣿⡄⠀⠈⢠⣧⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠚⠃⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⠀⣤⡄⠠⣤⣤⣼⠎⠁⠘⠁⡀⢠⣿⣿⠀⠹⠛⠛⠋⠛⢷⡄⠀⠈⠉⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠐⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⠿⠿⠿⠿
⣿⣿⣿⣟⠛⠿⠀⢸⣿⠀⢹⣿⠇⠀⠀⠀⠀⠁⠸⠇⠒⠀⠀⠀⠀⢀⣰⣿⣿⠀⠀⠀⠤⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠉⠲⠋⠁⢹⣿⣿⣿⣿⣿⣿⣿⣯⣯⣝⣻⣿⣿⣿⣽⣯⣯⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀
⣮⣙⡛⠛⠷⠀⠀⠈⠙⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣝⡑⠚⠚⠚⠁⠀⠀⠀⠀⠀⠀⠀
⢿⣿⣿⣷⣶⡤⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠀⢀⣍⢠⣾⣿⣿⡏⠀⠂⠐⠒⠶⠤⠀⠀⠀⠀⢠⠆⠀⠀⢀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣷⣶⠆⠂⠀⠀⠀⠀⠀⠀⠀
⣍⣀⣩⣿⣿⡇⠀⠓⣾⣆⣀⡠⠄⠀⠀⠀⠒⠀⠀⠀⠀⢶⠀⣿⣾⣿⣿⣿⡇⠰⠸⡆⠀⠀⠀⠀⠀⠀⠀⠚⠀⢣⣄⠀⣶⡆⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠂⠀⠀⠀⠀⠀⠀
⢈⣿⡿⣿⣿⣷⡀⠈⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⢹⢸⣿⣿⣿⡇⠀⠠⠛⡄⠀⠀⠀⠀⠀⠀⠐⠒⠂⠉⣴⠈⡅⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠥⠀⠀⠀⠀⠀⠀⠀⠀
⣬⣿⣟⣿⣿⣿⣇⠘⠁⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠸⣿⣿⣿⣷⠰⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠖⠻⣷⣿⢿⣿⠁⠀⣠⣀⠄⣄⠄⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢹⣿⣿⡇⢄⢰⡤⢀⣀⠀⠤⠤⠀⠀⠀⢀⣀⣀⣀⣀⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠠⢾⣏⣼⡿⠁⠀⠀⢻⡏⢀⣘⠓⠲⠾⠷⠀⠀⠀⠀⠚⣁⣄⣠⠉⣾⣿⣿⠇⠘⠈⠁⠍⠉⢀⣠⣤⣤⣤⣦⣌⣻⣿⢿⠙⠵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⠀⠀⠀⠀⠈⢻⣸⣿⣷⣶⣶⣶⡄⠀⠀⣸⡿⠋⠉⠉⠀⣿⣿⡿⠁⠀⣀⠀⢄⡀⠙⠻⠿⠿⠷⠿⠿⠋⣁⣤⠀⣐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠉⠉⠉⠉⠉⠉⠀⠀⠀⢰⣾⡛⢛⣿⡛⠻⠅⠀⠀⠋⠁⠀⠀⢀⣶⣿⣯⠄⣀⣠⣍⣉⣻⣿⣾⣾⣿⣷⣶⣾⣿⣿⣿⣿⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣾⢷⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣭⣿⣿⣿⣿⣿⣤⠀⠀⠀⠀⠀⠀⠀⣴⣶⡤⣄⣠⣬⡭⠉⠉⠉⢛⣛⡛⠛⠛⠻⠿⠿⠿⠿⠿⠶⢿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣯⣿⣇⣲⡑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠂⠀⠀⠀⠀⠀⠀⠀⠠⣥⣶⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣀⣿⣿⡿⠛⠉⠉⠀⠀⢀⣿⣿⣛⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣤⣤⣄⣤⣤⣤⣀⡉⢉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠠⠾⣿⠛⠉⢛⣿⣿⢩⣶⠀⠀⠀⠃⢚⣛⠛⠀⠀⠀⠀⠀⠂⠀⢺⣿⣿⣿⣽⣿⣿⣿⣿⡿⠁⢀⠀⣶⣾⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣓⡒⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 3095

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/07/20/Microsoft_Lunduke_Still_Fighting_Cancel_Culture_With_Cancel_Cul.shtml
    Gemini version at gemini://gemini.techrights.org/n/2025/07/20/Microsoft_Lunduke_Still_Fighting_Cancel_Culture_With_Cancel_Cul.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Microsoft Lunduke Still Fighting Cancel
Culture With... Cancel Culture⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jul 20, 2025


Recent: Again,_"Lunduke_is_Actually_Sending_His_Audience_to_Attack_People"


2023:


    * Sceptical_of_Cancel_Artists_in_Corporate_Press
    * Upcoming_New_Series:_The_Corporate_'Cancel_Culture'_Industry
    * The_Corporate_'Cancel_Culture'_Industry_--_Part_I:_Somebody_Wants_to_be
      Your_'Buddy'
    * The_Corporate_'Cancel_Culture'_Industry_—_Part_II:_People_Who_Defamed
      Linus_Torvalds_Say_Torvalds_Was_“Grateful”_for_It
    * The_Corporate_'Cancel_Culture'_Industry_—_Part_III:_Non-Technical_People
      Trying_to_Ruin_the_Lives_of_the_Geeks
    * The_Corporate_'Cancel_Culture'_Industry_—_Part_IV:_Hit_Pieces_and_Public
      Shaming_as_Bargaining_Cards
    * The_Corporate_'Cancel_Culture'_Industry_—_Part_V:_Hit_Piece_Gone_Wrong?
    * The_Corporate_'Cancel_Culture'_Industry_—_Part_VI:_Examples_of_GNU_and
      Linux_Luminaries_Targeted_by_Mobs
    * The_Corporate_‘Cancel_Culture’_Industry_—_Part_VII:_Abusing_Online
      Communities_and_Networks,_Then_Using_One's_Own_Abuse_to_Justify_a_Code_of
      Censorship_(CoC)
    * The_Corporate_‘Cancel_Culture’_Industry_—_Part_VIII:_In_Conclusion
Hours ago:


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


Having just mentioned the_mixing_of_tech_with_politics, the time seems right to
remind people of: When_People_Call_a_Best/Close_Friend_of_Bill_Gates_a_"Serial
Rapist"


There will be no "winners" in such 'debates', only losers on both sides. The
main casualty is the real debate about real tech issues.


We still urge people not to feed the Microsofter, Lunduke (who had come from
Microsoft and started_provoking). He was siccing his online drones at me
several times; those aren't decent human beings but "4chan types" - those_are
the_sorts_of_audiences_that_he_targets_these_days. See, his latest issue with a
FOSS conference, for instance, is that it recommends people wear masks (for
health reasons). Yes, way to tarnish a debate about FOSS with "antivax"
arguments, as well. █


    * The_History_of_Daily_Links_and_Politics
    * More_Microsoft_Shutdowns_That_Mostly_Slipped_Under_the_Radar


⣿⣷⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡿⠉⠀⠀⠈⢻⣿⣭⢙⠟⢻⠹⠛⢛⠟⠙⢿⠛⠛⡿⠛⠛⢻⡛⡻⠛⢹⠉⠉⣿⠉⠋⡟⢻⡛⡋⠛⡟⠛⠋⢛⢻⡟⢛⠟⣿⡿⡏⡙⡛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢍⢱⣿⣻⣛⣿⣿
⣿⡇⠀⠀⠀⠀⢸⣿⢿⣾⣷⣿⣶⣶⡾⣷⣾⣾⣷⡶⠷⢷⠶⠾⢷⢿⠶⣾⣶⣶⣿⣶⣷⣶⣾⣿⣶⣶⢿⣶⣷⣷⣷⢷⣾⣷⣷⣿⢿⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿
⣿⣿⣤⣀⣀⣤⣾⣿⣤⣇⣽⣧⣽⣿⣧⣤⣤⣿⣯⣧⣤⣤⣤⣥⣬⣼⣤⣷⣤⣨⣴⣤⣤⣤⣿⣬⣤⣯⣤⣦⣌⣧⣤⣼⣬⣼⣤⣦⣼⣥⣤⣼⣤⣤⣿⣬⣤⣽⣷⣥⣤⣤⣧⣤⣦⣬⣼⣿⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣂⣧⣻⣖⣁⣁⣠⣇⣌⣍⣿⣩⣩⣏⣁⣌⣽⣍⣏⣉⣽⣅⣏⣉⣯⣉⣉⣩⣍⣉⣀⢍⡏⣍⣋⣉⣀⣉⣨⣉⣉⣹⣉⣩⣭⣈⣇⣉⣉⣁⣉⣨⣟⣩⣅⣍⣏⣉⣉⣹⣉⣩⣯⣅⣍⣹⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠩⣏⢿⣭⠋⠋⠉⡟⠻⠛⢛⠛⠋⠙⢻⣿⡛⣿⢛⡋⠉⡟⠋⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣶⣿⣶⣶⣿⣷⣷⣷⣷⣶⣶⣾⣾⣷⣿⣾⣶⣶⣷⣾⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣶⣈⣏⣈⣸⣊⣹⣀⣀⣅⣐⣀⣃⣇⣸⣌⣈⣁⣇⣃⣯⣂⣁⣼⣱⣑⣹⣈⣁⣖⣕⣁⣾⣖⣊⣇⣁⣑⣇⣹⣠⣈⣸⣁⢐⣷⣁⣁⣕⣀⣍⠁⣏⣰⣾⣌⣁⣖⣈⣇⣁⣎⣺⣿⣀⣉⣀⣻⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠿⡿⠿⢿⣿⡿⠿⠿⠟⢿⠿⡿⠟⡻⠿⢿⢿⠛⡟⢿⣛⡟⡟⠛⣿⢿⢿⠿⡿⠟⠿⠿⡿⢿⠿⢻⠿⠿⠿⠿⠿⡿⠿⢻⠿⠟⡟⠿⡿⠟⠿⠿⡿⡟⠿⢿⠟⠿⠿⠟⠿⠿⡿⠿⢻⠿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣶⣵⡴⣵⣧⣼⣥⣼⡥⣼⣼⣯⣦⣧⡧⢬⣽⣤⡼⣾⣤⣷⣤⣬⢿⢿⣤⣴⢧⣤⣤⣤⣧⣷⣵⣼⣼⢴⣤⣤⡮⣿⣤⣴⣴⣥⣧⣮⣾⣥⣷⣴⣿⣧⣤⣼⣧⣴⣵⣧⣤⣤⣷⣽⣿⣤⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣄⡀⢐⣇⣐⣀⣠⣨⣂⣇⣀⣐⣸⣀⣶⣀⣀⣮⣂⣀⣷⣎⣱⣆⣰⣿⣾⣗⣰⣅⣹⣼⣀⣷⠀⣀⣰⣗⣀⣰⣂⣐⣰⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⡿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⠿⠋⠛⡙⠙⠙⢉⢻⢉⠋⠋⠋⠛⠁⠘⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⢹⡿⠹⡋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⣿⢿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 3179

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/07/20/More_Microsoft_Shutdowns_That_Mostly_Slipped_Under_the_Radar.shtml
    Gemini version at gemini://gemini.techrights.org/n/2025/07/20/More_Microsoft_Shutdowns_That_Mostly_Slipped_Under_the_Radar.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ More Microsoft Shutdowns That Mostly
Slipped Under the Radar⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jul 20, 2025


Nope, this_stuff won't last. It might work, for_now, but for how much longer?
Remember what happened to books 'sold' by Microsoft?


 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Microsoft_abruptly_stops_selling_movies_and_TV_shows_on_PC
             and_Xbox,_but_past_purchases_will_remain_available⦈_


The above was mentioned in Daily Links. Even some Microsoft propaganda sites
write about it, for instance this one:


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


This is sort of like Microsoft Stores. They won't officially admit (in 2020)
that the whole thing is doomed and buried. Even the "old" stuff... it'll vanish
for good... just not yet.


Microsoft is dying. Ignore_Wall_Street. It's lying. Microsoft is riding
borrowed_money and other people's money.


A lot of Microsoft layoffs went "under the radar" during a national holiday,
but facts_begin_to_emerge_weeks_later. The layoffs are vast, wide-ranging, and
have nothing to do with "AI". It's not like Microsoft will replace 400 lawyers
with slop. For one thing, it's illegal.


There's another issue here, as an associate explains: "With the (forced) exodus
of employees from Microsoft, the non-disparagement clause in their separation
paperwork will prevent airing how bad it really is there."


"They've lifted non-compete clauses, due to those being invalid and illegal,
but I would guess that the non-disparagement clauses are still there."


"Same for similar gag clauses in support contracts, especially the larger
ones."


Time to revisit:


    * Morale_at_Microsoft_Ruined_by_the_Company_Labelling_Thousands_of_Workers
      'Low_Performers',_Sacking_Them_on_the_Spot_and_Denying_Them_Basic
      Benefits/a>
    * Microsoft's_Morale_Circling_Down_the_Drain
    * Leaked_(Internal)_Microsoft_Poll:_Most_Microsoft_Employees_Want_to_Leave
      the_Company_If_They_Can_Find_a_Job_Elsewhere
I heard from people in Microsoft that they're desperate, anxious, and eager to
find another job ASAP. Microsoft won't count them as layoffs if or when they
leave. That's the exact same thing as what happens in Intel. █


    * Microsoft_Lunduke_Still_Fighting_Cancel_Culture_With..._Cancel_Culture
    * Nice_Recovery_(From_Actual_Fire)_by_PCLinuxOS,_New_Version_of_PCLinuxOS
      Released,_Now_Top_of_DistoWatch


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⣿⣿⣿⣿⣿⣿⣿⣿⡏⠟⢹⢹⣛⡟⡿⡻⢟⡿⡛⡏⡋⣻⣟⣻⢙⢻⣻⢻⠛⡛⡏⡏⡻⢻⡿⣻⣛⢟⢻⢛⠿⣻⣿⢛⡿⡻⣿⢹⢹⡛⡟⡛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣧⣼⣼⣭⣷⣼⣼⣬⣭⣦⣿⣬⣤⣧⣯⣼⣿⣧⣿⣤⣿⣯⣼⣼⣼⣭⣷⣦⣯⣦⣿⣬⣼⣧⣿⣧⣿⣯⣽⣿⣬⣤⣧⣯⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⡿⢿⠿⡿⣿⣿⣿⠹⡿⡿⡟⣿⢿⢿⠿⡿⢿⢻⣿⠿⡿⡿⡿⡿⢿⠹⢿⡿⡿⢿⠿⡿⢿⣿⡿⣿⢽⢹⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣧⣾⣿⣼⣼⣼⣼⢿⣿⣼⣧⣧⣧⣿⢸⣼⣦⣧⣾⣼⣿⢸⣦⣧⣿⣧⣿⣼⣬⣦⣷⣽⣴⣧⣾⣿⣴⣼⣼⣼⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣇⣧⣲⣸⣸⣯⣃⣿⣸⣸⣯⣃⣏⣾⣃⣇⣿⣝⣸⣇⣇⣇⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠉⠟⡿⢻⢿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⠈⢇⢸⠘⣩⡏⡝⣩⢛⠩⢋⡝⣥⡄⣽⡇⢫⣿⢸⢸⡩⣿⡇⠻⡀⢋⡝⡹⢫⢸⠩⢛⠩⣿⢗⠘⣿⣶⣶⡸⢣⣿⡩⡇⡝⣩⢻⣫⠫⢹⢠⢉⡍⡍⡏⡍⡇⣽⡟⡍⡏⡍⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣾⣾⣾⣾⣶⣷⣿⣶⣷⣶⣷⣾⣿⣷⣾⣷⣷⣿⣾⣾⣶⣿⣷⣷⣷⣷⣶⣷⣾⣾⣶⣶⣶⣿⣶⣶⣿⣿⣿⣷⣿⣿⣶⣷⣾⣶⣾⣿⣶⣾⣾⣾⣷⣶⣷⣷⣷⣾⣷⣶⣷⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣷⠙⡜⢹⢸⢩⢹⢩⢸⢩⢫⠏⠋⣏⢽⡿⢍⠋⣭⠛⣭⣿⡧⠡⡆⡍⡏⡍⡏⢫⣿⠿⠿⠿⣿⢨⣽⢫⣹⢩⡏⣝⣾⡩⣿⡟⠉⢫⢨⢹⢭⢩⢨⣿⠙⠹⡁⡇⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣶⣷⣿⣾⣾⣾⣶⣾⣶⣾⣾⣶⣷⣾⣿⣶⣶⣿⣾⣶⣿⣷⣷⣶⣶⣷⣶⣷⣷⣿⣿⣿⣿⣿⣾⣿⣶⣾⣾⣷⣶⣿⣶⣿⣷⣿⣾⣾⣾⣶⣾⣶⣿⣷⣷⣷⣷⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢨⢹⢉⢹⢩⢹⢩⠙⢉⡏⣭⣿⡇⡝⣭⢻⡏⢏⢫⡝⣿⡏⣏⣽⡏⡭⡯⡯⡯⡽⢭⡧⡭⡯⡭⣯⢽⢭⣽⣭⢼⡏⡍⣭⡟⣉⡏⡅⡇⡏⡉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣾⣾⣶⣾⣶⣿⣴⣾⣶⣷⣿⣿⣷⣾⣶⣿⣯⣼⣷⣾⣷⣶⣿⣿⣧⣶⣷⣶⣷⣿⣶⣷⣷⣷⣶⣷⣾⣶⣾⣶⣾⣷⣷⣿⣿⣶⣷⣶⣷⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⡟⠻⣟⡻⢿⡟⣿⠿⢿⡿⢿⣿⢿⣿⡟⠟⡿⢿⣟⢻⣿⠿⠿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣀⣀⣀⣀⣀⣿⣷⣶⣷⣶⣷⣷⣷⣿⣷⣷⣾⣷⣷⣷⣷⣶⣷⣷⣷⣾⣶⣾⣷⣷⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢻⠟⠿⢿⢿⣟⣟⣻⣿⡿⢿⠿⠿⠿⣿⢻⡟⠻⢿⠿⢿⠿⠿⡟⢻⣿⠿⡿⢿⢿⣿⡿⠿⡿⢿⠿⡿⢿⠿⢿⡿⠿⣿⡿⠿⣿⠿⠿⢿⢿⠿⢟⢿⢿⠿⡿⡿⠿⢿⠿⢻⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣯⣶⣿⣥⣼⣿⣿⣯⣼⣗⣶⣼⣤⣼⣤⣽⣴⣦⣴⣽⣷⣵⣤⣭⣿⣼⣿⣤⣯⣼⣿⣭⣯⣮⣿⣏⣨⣯⣽⣭⣷⣼⣿⣿⣯⣥⣿⣼⣵⣵⣿⣤⣿⣷⣵⣼⣯⣿⣽⣿⣤⣼⣿⣤⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢯⢿⣯⡟⣽⢫⡿⣙⣩⣿⣽⣯⣯⢹⣟⠭⣽⡽⠝⣿⡿⣯⢯⡋⣍⢽⢩⠻⣿⢯⡟⣽⣽⣯⣯⣻⣽⣽⣟⠏⢫⠛⡋⢫⣯⣿⢙⢿⡏⡟⣻⣏⣯⣽⡝⢛⢿⣽⣿⡽⣽⢽⡽⣯⡋⡛⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣂⣰⣿⣸⣶⣇⣿⢐⣿⣀⣔⣆⣪⣾⣆⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⠉⠉⢻⡏⠉⠉⣿⠋⠉⠙⡟⠉⠉⢻⡏⠉⡉⣿⠋⣉⠙⡟⡉⠉⢻⡏⡉⡉⣿⡟⠉⠉⣿⣛⠿⠿⢿⢿⢿⣿⣿⣟⣟⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣄⣠⣾⣧⣄⣤⣿⣦⣀⣴⣷⣄⣠⣾⣧⣄⣤⣿⣦⣁⣴⣷⣄⣠⣾⣧⣍⣥⣿⣷⣦⣶⣿⣶⣶⣿⣾⣿⣾⣿⣶⣷⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 3315

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/07/20/Nice_Recovery_From_Actual_Fire_by_PCLinuxOS_New_Version_of_PCLi.shtml
    Gemini version at gemini://gemini.techrights.org/n/2025/07/20/Nice_Recovery_From_Actual_Fire_by_PCLinuxOS_New_Version_of_PCLi.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Nice Recovery (From Actual Fire) by
PCLinuxOS, New Version of PCLinuxOS Released, Now Top of
DistoWatch⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jul 20, 2025


For many_months DistroWatch had PCLinuxOS at the top. For months if not years
DistroWatch had PCLinuxOS at the top 10. Now it's back on top:


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


2007:


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


Yesterday I became aware - via DistroWatch - that PCLinuxOS_made_a_new_ISO.
This release is dated July 19 and some ISO is even dated today:


                 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Welcome_to_ftp.nluug.nl⦈_


PCLinuxOS_Magazine_is_back_online (it has a new issue for this month) and its
maintainer told me that 1) they will manage to restore virtually everything and
2) they found a backup made not long before actual_fire consumed_the_rack.


PCLinuxOS is a community-driven distro. Give it a whirl. █


    * More_Microsoft_Shutdowns_That_Mostly_Slipped_Under_the_Radar
    * Taking_Stock_of_a_Good_and_Productive_Week


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

                    ䷩ 𝚕𝚒𝚗𝚎 3476

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/07/20/Over_at_Tux_Machines.shtml
    Gemini version at gemini://gemini.techrights.org/n/2025/07/20/Over_at_Tux_Machines.gmi

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


posted by Roy Schestowitz on Jul 20, 2025


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


⚓  Updated This Past Day⠀⇛


   1. ⚓ today's_leftovers⠀⇛


           Debian and more


   2. ⚓ Web_Browsers/Clients⠀⇛


           some leftovers


   3. ⚓ Games:_Steam_and_Lossless_Scaling⠀⇛


           some gaming picks


   4. ⚓ Gadgets,_Open_Source/Hardware,_and_More⠀⇛


           hardware picks


   5. ⚓ Programming_Leftovers⠀⇛


           Development picks


   6. ⚓ Security_Leftovers⠀⇛


           Security related links


   7. ⚓ Instructionals/Technical_Leftovers⠀⇛


           today's howtos


   8. ⚓ LibreOffice_Reminds_People_of_How_Abusive_Monopolist_Microsoft
      Illegally_'Raided'_ISO_for_Fake_'Standard'⠀⇛


           OOXML commentary


   9. ⚓ Android_Leftovers⠀⇛


           Chrome OS Will Merge With Android and Sony Surprises With a New
           Camera


  10. ⚓ Unplugged_and_Unstoppable:_How_Linux_Transforms_Laptop_Power
      Management⠀⇛


           In an era when remote work, video conferencing, and travel-
           heavy lifestyles are the norm


  11. ⚓ Zen_Browser_updates_to_latest_Firefox_version_and_fixes_Linux
      performance_bugs⠀⇛


           Zen Browser is a recent fork of Firefox that focusses on
           privacy


  12. ⚓ today's_leftovers⠀⇛


           only 2 for now


  13. ⚓ Devuan,_Ubuntu,_and_Linuxfx⠀⇛


           Debian-derived distros


  14. ⚓ Open_Hardware/Modding:_Raspberry_Pi,_Luckfox_Lyra_Pi,_and_More⠀⇛


           Hardware picks


  15. ⚓ OpenBSD_chflags_vs._Log_Tampering⠀⇛


           a pair of links


  16. ⚓ today's_howtos⠀⇛


           7 howtos for now


  17. ⚓ Fedora_and_Red_Hat_Leftovers⠀⇛


           mostly from the official sites


  18. ⚓ Linux_Phone⠀⇛


           What has 8 ARM cores, 8 GB of RAM, fits in a pocket, and runs
           NixOS


  19. ⚓ Backup_tool_Rescuezilla_resurrects_itself_across_six_Ubuntus⠀⇛


           2.6.1 adds Plucky Puffin and Firefox actually works this time


  20. ⚓ Ubuntu_25.10_Wallpaper_Contest_Opened_for_Submission⠀⇛


           Wallpaper Contest for next Ubuntu 25.10, Questing Quokka, is
           opened


  21. ⚓ Best_Free_and_Open_Source_Software⠀⇛


           This is free and open source software


  22. ⚓ Transitous_Hack_Weekend_July_2025⠀⇛


           Last weekend I attended the Transitous Hack Weekend in Berlin


  23. ⚓ This_Week_in_Plasma:_rounded_bottom_corners⠀⇛


           This week we continues the feature work for Plasma 6.5


  24. ⚓ MX_Linux_23.6_on_a_Nvidia-powered_laptop,_behold_results!⠀⇛


           I've been using MX Linux for a long time now, mostly on elden
           hardware


  25. ⚓ Games:_Brickadia,_Noobs_Are_Coming,_and_More⠀⇛


           latest 8 from GamingOnLinux


  26. ⚓ Fde_Rogue_Devices:_Protecting_against_rogue_devices_in_openSUSE_with
      Full_Disk_Encryption⠀⇛


           openSUSE have now multiple ways to configure a Full Disk
           Encryption (FDE) installation


  27. ⚓ Free,_Libre,_and_Open_Source_Software_Leftovers⠀⇛


           and programming


  28. ⚓ GNU/Linux_and_Hardware_Projects⠀⇛


           today's leftovers


  29. ⚓ Today_in_Techrights⠀⇛


           Some of the latest articles


      =========================================================================
      The corresponding text-only bulletin for Saturday contains all the text.
    * IRC_Proceedings:_Saturday,_July_19,_2025
    * "The_moment_MSFT_stock_fails_to_start_tumbling,_that’s_the_beginning_of
      another_corporate_giant_going_under."


⡟⡀⣦⢰⣆⠀⠁⠶⣆⣀⡀⢀⡀⠈⠛⠿⠿⢿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣷⣾⣿⣿⣿⠀⠀⡠⠞⠋⠀⠀⠀⣀⡀⠄⠈⢿⣿⣿⣿⣿⣿⣿⡿⢫⣠⣶⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⠁⠀⢀⣾⣿⣿⡿
⣥⠁⠈⠹⠇⢡⣄⠀⠹⣦⣛⣤⡐⢆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⡿⠛⠁⣠⣤⣤⡀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣷⣼⣿⣿⣿⣍⠙⣛⣛⣻⣿⡿⢿⡿⣶⣶⣿⣿⣿⣿⠃
⢋⠀⠀⠀⢡⠸⠇⠰⠅⠙⠓⠻⣿⣞⠳⢖⡀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⡿⠋⠉⠩⢻⣿⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⡿⡏⠿⣿⣿⣿⣿
⠍⠑⠀⠀⠁⠀⠾⢃⠰⠀⠀⠀⠀⠐⠃⠂⠡⠐⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣶⣶⣿⣿⣿⣿⠙⢿⣿⣿⣿⣿⣿⣿⡄⢄⣤⣤⣄⣀⣀⠀⠀⢶⣶⣶⣿⣶⣶⡆⠐⣻⣿⣿⣶⢟⣹⣯⣻⣿⣿⣿⡧⣠⠄⢲⣿⣿⣿⣿
⢼⣷⢲⡄⣀⠹⠂⠊⠁⠀⠀⠀⠀⣠⣴⣶⣶⣶⣾⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠹⣿⣿⣿⣿⣿⣿⡆⠘⠹⣿⣿⣿⣿⣶⣼⠿⢿⢿⣿⡿⡇⢠⢬⣟⣯⣿⣿⢿⣿⣿⣿⣿⣿⣷⣷⣤⣼⣿⣿⣿⣿
⢂⠋⠘⢿⡿⠇⠆⠠⣦⣶⣿⣿⣿⣿⣟⣋⠉⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⡉⠹⠻⣿⣿⣦⠀⠙⢿⣿⣿⣟⠻⢷⣤⣋⡉⠨⡛⢨⣟⣉⣷⡉⢲⢻⣿⣿⣦⣸⣿⣿⣿⠻⠷⠛⠻⠿⠟⣿⣿⣿⠿⠿⠿⣿⣟⣿
⣀⠈⠷⠈⣿⠄⠀⠀⠀⠀⠉⠛⠋⠉⠉⡉⠁⢠⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⡇⠀⣠⣞⣿⣿⣷⡄⠘⣿⣿⣧⠀⢸⣿⣿⣷⣼⣿⣼⣿⣿⣿⣧⠀⡘⣿⣿⣿⣿⣿⣿⣛⣤⣤⣦⣤⣬⣿⣿⣿⣿⠿⢿⣿⣯⣹⣿
⣷⡊⠀⠉⠅⠀⣰⡦⠄⠀⠈⠀⢀⣀⡚⢇⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⡇⢸⣡⣾⣿⣿⠇⠀⣼⡟⠀⣿⣿⣿⠀⢸⣿⣿⣿⡏⠙⣿⣿⣿⣿⣿⠀⢉⣻⣿⣿⣿⡿⠟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⢾⣿⣯⣯⣹
⠈⠈⡓⢼⣆⡺⠟⠈⠀⠀⢀⣴⣿⣿⡇⠀⠀⠘⠉⠻⣿⠉⢩⣿⣿⣿⣷⣿⡃⢸⣿⣿⣿⠿⣤⣾⠟⠀⢰⣿⣿⠃⠀⢸⣿⣿⣿⢇⣨⣿⣿⣿⡿⣭⣷⠈⣸⣿⣿⣿⣿⣶⣷⣷⣿⣿⣿⣿⣿⣷⣶⣶⣇⠈⢿⣿⣿⢹
⣀⠘⠚⢁⡳⠄⠀⠀⠑⣴⣿⣿⣿⣿⣿⠀⠀⠀⢱⣶⣿⣿⣿⣿⡟⠉⠛⠋⠁⠸⣯⠏⠃⠀⠉⠀⡀⢀⣾⣿⡏⠀⠀⣾⣿⣿⡏⢼⣿⡿⣿⣿⣷⣿⡿⠂⣹⣽⣿⣿⣿⠾⣿⣶⣿⣿⣿⣟⡻⠿⣿⣿⣿⣿⣽⣿⣿⣿
⠐⢙⠋⠀⠀⠐⡆⢀⣾⣿⣿⣿⣿⣿⣿⠀⠀⢤⣼⣿⣿⣿⣿⣿⣐⣦⡄⢀⣠⣶⣾⣷⣆⡤⠀⠀⣠⣿⡟⠋⠀⠀⣼⣿⣿⣿⠐⠛⣋⣱⣾⣿⣿⢯⣥⡄⢸⣿⣿⣿⣿⠛⠛⢛⣻⣿⣿⣿⣾⣷⣿⢿⣿⣿⢻⣿⡿⣿
⣠⣤⣠⣶⣶⢶⣟⣿⣿⣿⣿⣿⣿⣿⡯⠀⠀⢺⣟⠛⠻⢿⣿⣿⣿⣟⣛⣟⠉⠉⠛⡫⠏⠀⠀⣴⣿⠋⠀⢀⣀⣼⣿⣿⡟⠁⢀⣼⣿⣿⣿⣿⣿⡟⠩⠇⠸⣿⣿⣿⡿⢿⣶⣶⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣷⣿
⣷⣿⡼⠋⠹⡛⣹⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠸⣟⠁⠀⢠⣿⣿⡿⠋⠀⣠⣤⣤⡄⠀⠀⠀⠰⠟⠁⣠⣼⣷⣾⣿⣿⠟⠀⠀⣩⣾⣿⣿⣿⣿⣿⡧⠸⠇⣸⣿⣿⣿⡇⣼⣿⣏⠀⠐⣿⣿⣿⣿⣿⣯⢽⣿⣿⣿⣿⣿
⠛⣿⡑⠂⡈⢸⣿⡟⢿⣿⣿⣿⣿⣿⣯⠀⠀⠀⢨⣻⡶⠾⠛⠁⣠⣶⣗⣾⣿⣿⣿⣷⣤⣤⣧⣠⣾⣿⣿⣿⣿⠟⠁⠀⢠⣾⣿⣿⣿⣿⣿⠏⡟⢠⡟⠀⣿⣿⣿⡟⡀⢴⣿⣿⣇⣨⠹⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣇⡬⠉⠈⠀⣿⣿⣿⡆⠙⣿⣿⣿⣿⣿⡁⠀⠀⠘⡿⠃⠀⢀⣴⣿⣿⣟⣀⡀⢻⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⡷⠀⠈⢇⣀⣿⡿⠟⠀⣠⣾⣿⣿⣿⣿⣶⣾⡭⢿⣿⣿⣿⣿⣷⣿⡿⣿
⠦⣥⠉⠈⠐⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⣠⠰⣻⣿⣿⡿⠋⠉⠛⠈⠛⠿⠿⠟⠛⠋⠉⠀⠀⠀⠀⣠⣿⣿⠫⢻⣿⣿⣿⣿⣿⠇⠀⠂⠈⠉⠁⢀⣄⢰⣿⣿⣿⣿⣿⣿⣿⠛⣷⠐⠹⠏⠀⣠⣿⣿⠇⠙
⣧⠀⠐⠄⠀⣿⣿⣯⣵⠀⠀⣾⣿⣿⣿⣇⠀⠀⣤⡮⠀⠐⣿⣿⣿⠁⠀⠀⠀⠀⣾⣿⣷⡀⠀⠀⢀⣶⣿⣿⣾⣿⣿⠃⠀⣼⣿⣿⣿⣿⡿⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⡻⣿⣿⣿⢌⡋⠑⠺⢷⣴⣿⣿⡟⠀⠀
⠒⠒⣀⣤⣴⣿⣿⣿⣿⣦⣀⣿⣿⣿⣿⣿⣦⡀⣷⣀⠀⠰⣿⣿⣿⣧⡀⠀⠀⢸⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⡿⠆⠈⠻⠛⠛⠿⠃⠀⠀⠀⠘⠛⠿⠿⠿⣿⣿⣿⡁⠈⣼⣿⣏⠹⠿⢷⣤⣿⣿⣿⡿⠁⠀⠀
⣠⣾⣿⣿⣿⣻⡿⠿⠋⣿⣿⣯⣯⣤⣼⣿⣧⠀⢉⣧⣤⣼⣿⣿⣿⣿⣿⣆⠀⠀⠹⢿⣿⣷⣄⣼⣿⡯⠻⣿⣿⣿⣿⣤⣀⣴⣶⠄⠀⠀⠈⠢⢤⣀⣀⣀⢤⠀⠀⠀⠀⠀⢈⣤⣿⣟⠁⠁⠃⣰⣿⣿⣿⡟⠁⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⡿⠛⠋⢁⣴⣿⠿⠟⠙⠿⠿⠿⢿⣿⣿⢦⠀⠀⠀⠈⢙⣿⣿⣿⠃⠀⢹⣿⣿⣿⣿⡯⠉⠁⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣄⠀⢀⣠⣴⣿⣿⡿⠓⠀⣀⣴⣿⣿⣿⡿⠁⢸⡆⠐⠀
⣿⣿⡿⢿⣿⣿⣿⣿⡟⠉⠁⠀⠀⣠⣴⡟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠈⠀⠀⢠⣶⣿⣿⣿⠉⠁⠀⢾⣿⣿⣿⡟⠀⠜⢀⣼⣿⣿⣆⠀⠀⠀⠀⠀⠁⠁⠠⢿⠏⠛⠻⠛⠁⢠⣾⣿⣿⡿⠛⠛⠁⢀⣿⡷⢀⠀
⠁⠀⠁⠀⠉⠈⢈⣉⣀⣀⣀⣴⣿⣿⣿⣿⣤⣤⢴⣶⣶⣶⣶⣦⣤⠠⡠⢤⣄⣀⡀⠻⠛⠿⠝⠁⠀⠀⠀⣼⣿⣿⣿⠀⠀⣠⣾⣿⣿⣿⣿⣷⠀⠀⠀⠀⢴⣶⣶⣶⣶⣦⣄⡠⢴⣿⠿⢿⣿⣿⡆⢰⣦⣾⡿⠁⠀⠀
⣶⣶⣶⣶⣾⣿⣿⣿⡿⣿⠿⠛⠛⠋⠉⠉⠀⠀⠄⠀⠉⣻⣿⣿⡁⠀⠀⠀⠿⣽⣧⡀⠀⠀⣶⣤⡀⠀⢾⣿⣿⣿⣿⡆⢠⡿⠟⠋⠉⠉⠉⠀⠀⠀⠀⠀⠈⠉⠛⠻⣿⣿⣿⣯⡄⠈⠀⠀⠈⠙⢿⣾⣿⣿⡇⠀⠀⢸
⣿⣿⣿⠀⠀⠈⠉⠉⠀⠀⢀⣤⠬⠁⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣦⡄⠀⠀⢹⣿⣿⣶⡀⠈⠙⣿⣦⣸⣿⣿⣿⡿⠐⠋⠀⠀⢸⣿⣦⣄⣀⣠⣤⣄⣤⡀⣀⠀⠀⠈⠙⠻⠿⠿⠃⢰⣦⣄⡀⠘⠛⢍⣀⠀⠀⠀⣿
⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⣼⣿⣤⣤⣤⣤⣤⣠⣴⣶⣾⡿⣿⣿⣿⣿⣿⣶⡀⠀⠹⣿⣿⣷⣄⠀⢸⣿⣿⣿⣿⣿⠃⡀⠀⠀⠀⣾⣿⣿⣿⣿⡿⠋⠁⠉⠇⣿⡂⢢⣤⣠⣀⣀⡀⠀⠈⠉⣠⣾⠋⠀⠹⣿⡇⣠⣾⣿
⢿⣿⣿⣿⣿⡗⠀⠀⢸⣿⣿⣿⡻⠿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⠙⠛⠿⣿⣿⣷⣄⠘⢿⣿⣿⣿⡄⢸⣿⣿⣿⣧⣾⠇⠀⠀⠀⠸⣿⣿⣿⠃⠀⠀⠀⠀⠀⠉⠁⢀⣙⣿⣿⣿⣿⣿⠟⠋⠋⠉⠀⠀⠀⠉⢻⣿⣿⢻

                    ䷩ 𝚕𝚒𝚗𝚎 3715

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/07/20/Slopwatch_Planet_Ubuntu_LinuxSecurity_and_More.shtml
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⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Slopwatch: Planet Ubuntu, LinuxSecurity,
and More⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jul 20, 2025


Today's "Slopwatch" deals with three sites. We start with Planet Ubuntu, aka
Ubuntu Planet.


Planets aggregate a bunch of blogs. This one says: "Blog entries aggregated on
this page are owned by, and represent the opinion of the author. © 2010
Canonical Ltd. Ubuntu, Kubuntu, Edubuntu and Canonical are trademarks of
Canonical Ltd."


It actually says 2010. In 2025.


Watch what's dominating this Planet Ubuntu, aka Ubuntu Planet, this weekend:


 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Digital_–_Design,_Simulate,_and_Understand_Logic_Circuits
                              Like_Never_Before⦈_


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


 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Digital_–_Design,_Simulate,_and_Understand_Logic_Circuits
                              Like_Never_Before⦈_


They're basically importing a slopfarm into Planet Ubuntu, aka Ubuntu Planet.


Good optics for Ubuntu?


Nope.


How about LinuxSecurity's latest?


  🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Cryptomining_Meets_AI:_H2Miner’s_Multi-Platform_Assault
                                  Unveiled⦈_


More mindless slop.


Even less creative was this chatbot spam about chatbots:


   🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇AI_Chat_bot_Basics:_Models,_Myths_and_Possibilities⦈_


One of several former "Linux" blogs which basically became slopfarms. It's
really bad. █


    * Links_20/07/2025:_More_GAFAM_Lawsuits,_Layoffs,_and_SLAPPs
    * Jamie_Zawinski_Complained_About_Wayland,_Then_Decided_to_Give_It_a_Go,
      Now_Complains_Again_About_Wayland


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

                    ䷩ 𝚕𝚒𝚗𝚎 3919

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/07/20/Taking_Stock_of_a_Good_and_Productive_Week.shtml
    Gemini version at gemini://gemini.techrights.org/n/2025/07/20/Taking_Stock_of_a_Good_and_Productive_Week.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Taking Stock of a Good and Productive
Week⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jul 20, 2025,
updated Jul 20, 2025


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Dove_at_dinner⦈_


Yesterday I fed the birds about 20 times. It feels fulfilling after a week with
many_articles (about 150 in total) on top of also filing a lawsuit against the
Serial_Strangler_from_Microsoft (adding that to the lawsuits filed against
Garrett [1, 2] that's 3 in total; people will soon_sympathise_with_these_some
more).


We shall now be taking a break, unpacking the new hard drive (8 TB), and making
backups of everything. We have so much more in store, enough_for_years_to_come.
█


    * Nice_Recovery_(From_Actual_Fire)_by_PCLinuxOS,_New_Version_of_PCLinuxOS
      Released,_Now_Top_of_DistoWatch
    * Links_20/07/2025:_More_GAFAM_Lawsuits,_Layoffs,_and_SLAPPs


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⣿⡟⠛⠛⢻⣿⣿⣛⣉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢔⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⣿⡟⠀⠀⠀⠀⠀⠀⠈⠁⢈⢽⣿⠟⠛⠋⢹⣶⡌⠉⣿⣿
⣿⡇⠀⣲⣶⣿⣿⣿⣿⠿⠿⠟⠻⣿⣿⠿⠿⠿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⣿⡿⠷⣿⡾⠕⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣷⣶⣦⣷⠀⡖⠚⣿⣿⣤⣄⣠⠏⠀⠻⣿⣷⣦⠌⠛⠿⠿⠓⠐
⣟⣷⣶⣿⣿⣿⣿⣿⣦⣤⣴⣶⣶⣦⣴⣶⣶⣶⣾⣶⡞⠛⠛⢿⣿⣿⣿⣿⣾⣿⣿⣿⣷⣮⠙⠋⠍⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣷⣆⠙⠁⠉⠁⡼⠂⠀⠀⢄⡩⠃⠀⠤⠀⣤⠤⠾
⡟⣷⠛⠛⠋⣍⣿⡟⣻⢻⣿⠀⠐⠛⠻⣿⣿⣿⣟⣿⣿⣶⣿⣤⣾⠛⠛⠻⠿⠿⠿⢟⠈⠓⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⣉⣩⠉⠉⠉⠉⠀⠯⠨⢀⣉⣸⣾⣿⣿⡀⢀⣐⣈⠁⠀⠀⠰
⣾⣿⣶⣚⣧⣭⣾⣿⣻⣿⣿⣿⠛⣷⣿⣿⣿⣿⣿⣟⣾⣿⣿⣿⣿⡥⣀⣤⡔⠒⣶⣾⣤⣦⡀⠚⠛⠋⠀⠀⠀⠀⣀⣀⣀⣀⣤⣶⣠⡇⠻⠛⣙⣛⡛⣿⣴⣤⡤⠶⠀⣀⣀⣀⣴⣧⣬⣿⣿⢿⣧⣶⡟⢥⠴⠒⢾⣯
⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣤⣵⣦⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⡿⠏⠀⠀⠀⠀⠉⠛⢻⣿⡄⠀⠠⠶⠶⠄⠈⠲⡌⠉⠙⠛⠉⠉⠒⠛⠙⠉⠉⠥⣾⣤⡴⠒⠀⢐⣫⣽⠟⠙⣿⣧⣶⣿⣿⣿⣿⣿⣿⣾⣿⣿
⡿⣿⣿⣷⣿⣿⣿⣿⣿⡿⡟⣻⣟⣿⣿⣾⣿⢿⣿⣿⣿⣿⣿⡿⠿⣿⣿⠟⠛⣶⣶⣶⣲⣤⣼⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣤⣄⠈⣉⣛⣃⣶⠩⠤⠰⠈⠉⠉⠉⠩⠉⠋⠉⠉⠋
⣽⣭⣬⣿⣯⣹⣿⣿⣿⣶⠤⠟⠻⢻⣿⡷⠿⠿⠿⠿⢛⠋⠁⣀⣐⣟⣉⠂⠀⠉⣉⢽⣿⢻⡿⣿⣿⣿⣿⡖⣖⠋⠁⠀⠀⣠⣄⠀⠀⠀⠀⠀⡀⣀⡀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢿⣿⣿⣿⣿⣿⡏⠈⠉⢠⣶⣺⣿⣿⣿⣂⠐⣀⠉⢙⡷⣿⣿⣟⣋⠉⠀⠺⠷⠒⢾⢿⣿⠚⠉⣉⣡⣤⣤⣿⣷⠿⣟⠀⠐⡉⣿⡧⣤⣼⡷⣢⣿⣿⣾⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣀⢠⠴⠶⠶⠆⢠⣀⣀
⣴⡿⠉⠈⢛⡋⠁⢤⡶⠒⠻⣛⡏⠀⠀⠀⠐⣻⣿⡿⠉⡋⠉⠁⠛⢻⣿⡿⣳⣦⣿⢛⣿⡟⣈⣭⣿⡿⠿⢗⡈⠓⠈⢁⣂⠈⠙⠁⠀⣉⣙⣿⣿⡿⣿⠛⠉⣿⣿⣿⣿⣷⠾⣉⣉⡛⠛⠛⠻⠿⢿⣿⣷⡖⠻⢿⣿⣟
⣿⣛⣿⡟⢉⣟⡛⠛⠛⣀⢨⣤⠼⠿⣿⣿⣿⡿⢻⣟⣋⡉⢉⠀⠄⢛⠋⠀⠧⠟⠀⠘⢋⣟⣛⣩⣿⣿⣿⣿⣭⣥⣤⣿⣿⣦⣶⠄⠙⣭⣿⣯⣭⣧⣄⣈⠑⢟⣭⣿⣶⣿⣭⠉⣹⣻⡭⠁⢾⣬⣿⣿⣁⣀⣉⣿⣿⣋
⣿⣿⠃⠀⣩⣿⣋⣾⣿⣃⣥⣴⣶⣿⣟⣿⣧⣄⣤⡤⠶⠿⢹⣿⣿⣿⣩⠽⠫⣵⣶⣯⣭⣽⣿⣶⣿⡟⢻⣻⣿⢿⣛⣼⠿⠟⢓⣀⣒⡟⣩⣭⡿⠿⠿⠛⠟⣛⣿⣿⣉⣀⣠⣾⣿⣿⣷⣿⣿⣿⣿⣿⢿⣃⣹⣟⣿⣺
⣿⣿⣷⢚⣿⣿⣟⣯⡯⣿⡟⠛⠛⣩⣭⣭⣉⣉⣽⣶⢤⢠⣶⣶⣷⣿⣷⡮⣴⣿⣿⠏⣉⡀⠽⣤⣿⣿⣿⣯⣿⣿⣿⣿⣾⣿⡟⣩⣛⣷⣾⣿⣧⣴⣤⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣣⣌⣩⣽⡿⣿⣿
⢻⣿⣿⣿⣷⣽⣿⣿⡿⢋⣷⣶⡿⢟⣟⣻⣿⡟⢣⣴⣤⣶⣿⣿⣿⣿⣧⣽⣻⣿⣋⣿⣭⣿⣿⠿⢻⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣭⣿⣿⣿⣿⣿⣟⡛⣉⣉⣛⣉⣉⠹⠗⠻⣿⣿
⣸⣿⣿⣿⡿⢋⣤⣄⣂⣐⣻⣿⣿⣿⣿⣿⣿⣿⣿⣶⣟⣏⣉⣙⣿⣿⣭⣭⣻⣿⣯⣷⣶⣿⢿⣤⣤⣼⣿⣃⠀⡀⠀⣈⢻⡿⣿⣿⡿⢿⣗⣲⣿⣿⣇⣈⣉⣿⣿⣿⣿⣿⣿⣏⣽⣍⣉⣿⣿⣿⣿⣾⣿⣀⣠⣼⣿⣿
⣿⣿⣿⣿⡿⢿⣻⣶⣾⣿⡛⠟⢛⣻⣿⣿⣿⠿⢿⣿⣿⣿⠿⢿⣯⣟⣏⢙⣿⣥⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣙⣻⣷⣿⣿⣁⣾⣛⣉⣉⠉⣿⢛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⡝⠛

                    ䷩ 𝚕𝚒𝚗𝚎 3981

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

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    Gemini version at gemini://gemini.techrights.org/n/2025/07/20/The_moment_MSFT_stock_fails_to_start_tumbling_that_s_the_beginn.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ "The moment MSFT stock fails to start
tumbling, that’s the beginning of another corporate giant going
under."⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jul 20, 2025


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇orc_barbarian⦈_


Intel is in a bad place, but what about Microsoft?


Intel_Corp is down about 62% in the past 5 years. Despite sagging sales, and
unlike some other companies, Intel has not managed to fake its supposed "value"
or "worth" (e.g. by rebranding_GPUs_as_"hey_hi"_chips).


Microsoft's debt has soared, sales aren't growing and even falling in most
areas, and staff is being squeezed or removed en masse. There are far more
layoffs at Microsoft than at Intel, but you would not get this impression based
on Wall Street media.


A few hours ago someone posted_this_comment:


     Microsoft in business because of stock performance


     Microsoft doesn’t pay the top salary, but folks work because of name
     and stock performance. If RSU and ESPP don’t perform, you are
     withdrawing negative salary.


     The moment MSFT stock fails to start tumbling, that’s the beginning
     of another corporate giant going under.


     Take this grim fact from a 20+ years veteran.


In simple terms, Microsoft rides someone else's money: the shareholders' (e.g.
someone's pension fund).


What happens when those shareholders realise Microsoft not only defrauds_the
shareholders but is also selling them lie or false hopes under the guise of
"hey hi"? There_will_be_no_turnaround. █


"Microsoft, the world’s most valuable company, declared a profit of $4.5
billion in 1998; when the cost of options awarded that year, plus the change in
the value of outstanding options, is deducted, the firm made a loss of $18
billion, according to Smithers."


                                                           -The_Economist,_1999


    * Over_at_Tux_Machines...
    * Microsoft_is_at_0%_"Market_Share"_in_Most_Areas


⣷⣝⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣯⣻⣿⣿⣟⣿⣿⣿⣿⡿⠿⢿⣛⣛⣭⣭⣽⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣶⣿⣿⣿⣿⢟⣫⣵⣾⣿⣿⣷⣌⠛⣛⢟
⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣭⡿⠿⣟⣓⣪⣭⣭⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⢿⠿⠾⠿⣿⣿⣶⣿⣿⣸⣯⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢏⣴⡿⠶⢟⣩⢾⣿⣿⣿⣿⢷⣜⢷
⣿⣿⣿⠿⢿⣛⠛⠯⣭⣗⣒⣺⣿⣿⣿⣿⣭⣽⣭⣭⣭⣭⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⡛⣡⣿⣿⣷⡿⣾⣏⣾⣿⣿⣿⣿⣧⣻⣎
⣽⣶⣾⣿⢱⣾⡿⣻⣻⡯⣿⣿⣿⣝⣋⡏⡇⣿⣞⢿⣿⣿⣷⣿⣿⣿⣿⣾⣭⣽⣿⣿⣯⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⢟⣭⣶⣾⡿⣱⣿⠯⠙⢿⠃⠘⣝⣷⣿⣿⣿⣿⣯⣿⣿
⣿⣿⡿⣫⣿⣷⣵⣶⣿⣽⡿⢿⡿⢿⣿⣿⣞⣛⡿⡟⡿⣭⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⢤⣴⣶⢖⣲⢦⣤⣀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⡟⣵⣿⣟⣿⣿⢱⣿⣿⣾⣩⣿⢲⢶⠮⣭⣟⣛⣻⠎⢹⣟⣿
⣿⣏⣾⡿⣿⣿⣝⣿⣿⢻⡯⢽⣏⣕⣻⣿⣿⣿⣧⣧⢷⣽⣿⣸⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠈⣉⡁⣀⢈⡁⣉⠁⠀⠀⠀⠀⠀⠀⠀⠀⢺⢏⣾⣿⣿⣿⣿⢃⣿⣿⣟⣛⡒⠳⠶⠮⣷⣯⣠⣿⡙⠗⡇⣯⣿
⣿⣧⡻⢧⣽⣿⣿⣿⣿⣿⠿⣿⣿⣽⡿⢰⣽⣸⣮⣷⣭⣿⣿⣷⣾⣷⣶⣲⣯⢿⡿⠀⠀⠀⠀⠀⠀⠀⣿⣼⣒⣿⣿⣾⡆⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣟⣿⠿⠃⢸⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⣍⢽⣛⡾⢳⣮⣽
⣿⣿⣿⣿⣮⢻⣸⢾⣝⣧⣿⣮⣼⣾⡾⢿⣿⣻⡏⣽⠟⣿⢹⠯⣧⣳⣞⣿⠟⣴⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣯⣶⠃⢀⢸⣿⣿⢻⠁⠀⠀⠀⠀⠀⠀⠘⣷⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡿⣸⢟⢿⢛⠟⡗⣯⣿⣿⡏⣽⣷⣺⡿⣿⢟⣿⡟⣿⣿⡟⣭⣖⠿⣿⡇⠀⠀⠀⣬⠟⣻⣶⣿⣠⣖⡢⡔⢶⠒⢒⠾⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⠃⠀⡞⡿⣿⡟⡾⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣽⣿⣿
⣿⣿⡿⣫⣾⣿⣸⣆⠿⣷⣿⢖⡻⡯⣛⣉⣟⣏⣇⣻⣼⣿⣷⣿⡿⣷⣽⣻⢿⡿⠇⢀⣠⣤⢠⣤⣁⠻⣿⣿⡟⣡⣶⣾⡸⣿⢆⠖⠀⠀⠀⠀⠀⠀⢰⣿⠃⠀⣼⡇⣿⣿⡇⣇⠀⠀⠀⠀⠀⠀⠀⠀⠈⡞⣿⣿⢠⣿
⣿⣿⡇⣿⡍⣿⢙⣸⣸⣿⣿⣴⣿⣷⣿⠿⣿⣿⣿⣽⣻⢱⣯⣧⣧⣿⣿⣽⢺⣷⣆⠀⠙⠻⢮⡍⣪⣴⣿⣿⣷⣬⣹⢿⣿⣭⣶⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⡼⣿⡇⡟⣿⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⢿⣿⣷⣿
⣿⣿⣿⡮⢷⡿⢾⡟⣻⣿⣿⣿⣯⣳⡏⣽⡗⣝⣸⣾⣽⣷⣷⠿⠿⣿⣿⢱⣿⣿⣟⠀⠀⠀⠘⢿⣿⣿⣶⣶⣾⣿⣿⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⡕⣹⡇⢣⣿⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣎⢾⢻⣿
⣫⣽⣶⣾⢸⣽⠿⣹⣳⣿⣿⣿⣿⣿⣿⡿⠿⣟⣛⣯⣽⣶⣾⠿⠿⣶⣝⡣⠝⣿⣿⠀⠀⠀⠀⠈⠻⣿⣏⣍⣭⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣱⣷⣿⠇⣾⣿⢳⣵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡎⢿⣿
⣿⡞⣶⣿⣶⣭⣿⣿⣿⠿⣋⣭⠍⠀⣠⣶⣿⣿⣟⣵⣾⣿⣿⡿⠿⣶⡿⣿⣿⣛⣷⡇⠀⠀⠀⠀⠀⠈⠙⡛⡛⢟⣛⣩⣶⣽⣦⠀⠀⣠⡤⢰⣦⣤⣀⢿⣿⣿⢟⣼⣿⣟⣾⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣼⣿
⣿⣿⣿⡿⣿⣿⣿⣭⣶⣿⣿⡏⠀⢠⣿⣿⡿⠿⣟⣻⣭⡷⡶⢿⠛⣽⣿⣽⣛⣿⣿⡇⣀⠀⣠⣴⡆⣺⡇⢙⢿⣿⣿⣿⣿⡿⣣⢮⡇⣿⡏⣸⢫⣿⣿⣷⣜⢏⣾⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿
⣿⢹⣿⣧⣿⡿⣿⣿⣿⣿⡿⢀⡤⡭⡷⡶⣿⡏⣿⣇⣽⣃⣇⣯⣼⡶⡟⢷⣼⣿⢹⣿⡅⣾⣿⣿⣷⢸⣿⢰⣵⣎⣩⣬⣽⣾⣿⣿⡇⣿⡇⣫⣽⣿⣿⣿⣿⣷⡝⣿⣿⠿⠷⠺⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿
⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⠃⣸⣧⠿⣠⣯⣿⡷⣿⠿⣿⣿⡏⣾⣠⣷⣿⣧⡿⣯⣾⡟⡸⣻⠿⢿⡛⢤⡔⠈⢹⣿⣿⡿⣱⣿⣿⣿⠁⣿⣀⢿⡻⡞⣿⣿⣿⣿⣿⢨⣷⣶⣤⣿⣷⣦⣤⣀⣀⣀⣀⡀⣠⣾⡾⣿⣝⣻
⣿⣼⣿⣿⣿⣿⣿⣿⣿⠏⠀⣿⣏⣽⡿⣿⣿⢻⣸⣭⣼⡿⠿⡛⠛⢯⢭⠶⠟⢻⣿⣱⣷⣿⡜⣫⡭⠕⣚⣀⢿⣿⣿⣿⣿⣼⣿⡇⡅⣿⣽⡸⣿⣨⡽⡿⣿⣿⣝⣃⢿⣿⣿⣿⣷⡶⠶⠶⣞⣛⣛⣫⣤⣤⣤⣈⣭⣭
⣿⠟⠉⠀⠀⠀⠀⠀⠉⠀⠐⠸⢿⣿⠿⠿⡻⣿⡩⣷⣾⠏⠙⠊⠚⠫⠞⠛⠷⢍⡣⢐⡯⣻⣯⣴⣾⢠⡟⠉⡸⠿⠽⢿⣿⣛⣻⣧⣷⣍⣉⣁⣛⣃⣃⡿⣿⣿⣿⣿⡜⣿⣿⣾⣿⣿⠿⠿⣿⣿⣿⣿⣙⣚⣫⣽⣿⣯
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣮⣗⣹⠏⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠘⢷⣶⠝⠝⣫⣼⣶⣶⡶⡿⡿⣿⣿⣿⡟⡿⣿⣿⣿⣯⡿⣻⡿⢿⡏⡶⠶⣶⡞⣿⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⢭⣽⣷⣶⠀⠀⠀⠀⠀⠀⠀⠀⢀⣔⣟⡀⠸⣃⢱⡸⣷⣽⣶⢹⣧⣅⣇⣾⣿⣿⣿⣽⣿⣿⣼⣧⣷⣽⣾⠾⠁⣛⣋⣘⢑⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣽⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⠛⠀⢸⢡⣿⣿⣮⢙⣻⣿⡿⢿⠟⡟⡻⡿⣿⢿⣿⣏⣿⣿⣿⣼⢰⠁⣭⣽⣶⣶⣷⢣⢻⣿⣷⣶⣶⣾⣛⣿⣿⣯⣽⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣾⣶⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡏⡿⣿⣿⡌⠸⣿⣇⣷⣷⣷⣽⠿⠾⠶⠿⠿⠷⠿⢟⣋⢎⠊⣵⡶⠶⢿⣿⠹⣸⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿
⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⢻⣿⣿⣧⠱⢾⣭⠹⣷⣶⣤⣭⣥⠭⠭⣥⢹⣿⣯⡔⡛⠈⠐⠛⠛⠻⠃⠐⠿⢛⡿⢿⡿⠿⢿⣿⣿⣛⣛⣛⡿⣿⣿⣿
⢀⠀⠐⠻⢿⠶⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣯⣭⣽⣿⣿⢪⠷⣶⡆⠀⠀⠀⠀⠀⠀⠀⠐⢿⢸⣿⣿⡟⠺⣶⣯⡆⢫⣭⣿⣿⣍⢻⣿⣿⠘⣿⣿⣿⣿⡆⢶⣦⡀⠀⡄⣶⣿⡗⢽⢿⣻⢻⠿⢹⡏⢿⡝⡿⢻⣎⣿⣿
⠁⠚⠁⠀⠀⢀⣠⣴⣤⡀⠀⠀⠀⠀⣿⣿⣿⣿⡿⣿⣿⢸⣾⣿⠃⠆⠀⠀⠀⠀⠀⠀⠀⠈⠋⢿⣿⡇⣷⠾⣿⣿⡘⣿⣿⣿⣿⣻⣯⣿⣾⣿⣿⣿⢿⣿⢸⡟⣥⣀⣧⢻⣿⣯⡻⢵⡿⠷⠷⣿⣛⣛⣿⣭⣽⣾⣿⣿
⠀⣀⣤⣶⣿⣯⣿⣫⣯⣷⢕⣤⠀⠀⠈⠛⢿⣿⣿⣿⣿⢸⢾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣼⣿⡇⣿⣷⠙⣿⣧⣬⣭⣭⣭⣤⣀⣲⣿⣿⡿⢋⣾⣿⡎⡇⣿⠲⣻⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠈⠛⢿⣻⡿⣝⣯⠿⣊⣕⣿⠟⠀⠀⠀⠀⠀⠉⠻⢿⣿⡘⠟⣿⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⣿⣿⠇⣬⣹⢷⣌⣿⣿⣿⣿⣍⣻⣿⣿⣿⣿⣷⠿⣿⣿⡇⡇⣫⠿⡒⣿⣿⣿⠿⠿⠿⣿⣿⣿⣿⣿⢿⣶⣿⣿⣿⣿
⠀⠀⠀⠉⠛⠞⢥⣟⣾⢿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⠁⠉⠁⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⣿⣿⢸⣿⣿⣷⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡏⡧⣏⡯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 4083

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Gemini Links 20/07/2025: Summertime and
OCC25 Wrap-up⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jul 20, 2025


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇KornShellWizard⦈_


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


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


          o § Personal/Opinions⠀➾


                # ⚓ 🔤SpellBinding_—_BEKNOSP_Wordo:_ACHES⠀⇛


                # ⚓ Exploring_Norway:_Tromsø_and_Lofoten⠀⇛


                       I'm someone who appreciates true relaxation while
                       on vacation: lingering in one place, letting one's
                       mind go blank, enjoying the warm weather, maybe
                       doing some swimming. A stereotypical afternoon on
                       the beach sipping an icy beverage ranks pretty high
                       up there. Unfortunately for me, none of that is
                       really feasible due to having small kids. I'm
                       constantly on duty/alert for cooking meals and
                       snacks, potty time, miscellaneous sibling spats,
                       and managing nap time. Also, my wife is more keen
                       on exploring new places, seeing the world, and
                       basically traveling around, so beach vacations are
                       not in the cards that often. I don't think I've had
                       a really relaxing vacation in something like seven
                       years.


                       This summer was no exception as we decided to try a
                       new sort of activity: renting a campervan and
                       driving thousands of kilometers. A road trip to
                       Norway is something that has been on the bucket
                       list for a number of years — Norway has some
                       amazing nature to explore: fjords, mountains,
                       beaches, and idyllic coastal villages. We did get
                       to see those things along the way, but mostly the
                       trip felt like tens of hours of driving while
                       stumbling on amazing views, with an inordinate
                       amount of time spent dressing and undressing the
                       kids when exiting and entering the van. As one
                       might imagine, a campervan is not the most spacious
                       of vehicles for a family of four, so these tasks
                       were made all the more challenging by the cramped
                       conditions. The outside temperature varied from 7°C
                       (Kilpisjärvi in northern Finland) to 14°C in Norway
                       while on the beach (not suitable for swimming!) and
                       to 25°C when coming back south the Helsinki (as a
                       heat wave was starting). Fortunately, we had packed
                       clothing for all possible types of weather!


                # ⚓ Summertime⠀⇛


                       I teach at a University on a 9-month contract. That
                       means I get unpaid summer vacations!


                       Youngsters (of which I was once one) love to trade
                       life for money obtained through work, the latter
                       having much more value. But over time, the relative
                       worth begins to balance out. And then, as life
                       becomes more scarce, it's value increases
                       presumably until one day when you wouldn't go to
                       work for any amount of money.


                       (And here I count "work" as "something you wouldn't
                       be doing anyway".)


                # ⚓ 5_Questions,_July_2025⠀⇛


                       Well yay - Christina has graced gopherspace with
                       another set of "5 Questions!" [1]


                       I very much welcome the return of this time-
                       honoured tradition. Not only because I enjoy seeing
                       the oft-times surprising and enlightening replies
                       from other folks out here in the digital boondocks,
                       and not just because it saves me from having to
                       think up things to write about, but even more
                       because it saves us all from yet another one of my
                       curmudgeonly posts about the current state of
                       information technology. I can be curmudgeonly about
                       something else for a change. Everybody wins!


                       1. Has a self-help book ever helped you? If yes,
                       would you share the title and author?


                       If by "self-help" is meant a book sold in the
                       "self-help" section in bookstores, then I think the
                       answer is no, never read one. Why is that, I
                       wonder? Certainly there were times in my life when
                       I needed help dealing with my personal problems.
                       But whatever I got in that line tended to come
                       direct from various people in my life, not mediated
                       through the printed page. That might be surprising,
                       I guess, given how bookish I am. I think it was a
                       kind of suspicion (perhaps tinged with
                       snobbishness) that led me to avoid the self-help
                       section, a mistrust of an industry whose generous
                       profit margins seemed rooted in exaggerated claims
                       and encouraging false hopes. Which may well be an
                       entirely unfair generalization, as it clearly has
                       no basis in my personal experience.


                # ⚓ Joseph_Smith:_Wrong_from_the_Very_First_Vers⠀⇛


                       A very helpful resource for understanding the false
                       teachings of Joseph Smith and of Mormonism is the
                       "King Follet Discourse", which is a sermon he gave
                       in front of 20,000 Mormons in 1844 in connection
                       with the recent death of Elder King Follet. This
                       sermon is recorded in "Teachings of the Prophet
                       Joseph Smith", 2nd Ed (1940) by Joseph Fielding
                       Smith, a Mormon historian. It should be emphasized
                       — as can easily be understood by reading this book
                       — that Joseph Fielding Smith was not an enemy of
                       Joseph Smith but rather was fervently devoted to
                       him and his teachings, though the two men were not
                       contemporaries. A scan of this book can be
                       downloaded from the Internet Archive:


                # ⚓ Unconsuming_fire⠀⇛


                       A PE teacher at Estill County School was struck by
                       lightning, my AA sponsor whispered. First daughter
                       woke from a nightmarish fever dream, recounted
                       every horrifying detail.


                       The only relief from heat and humidity for weeks
                       has been rain. Rain, caves, or air conditioner. Air
                       conditioner in the house, in the car, so rare in
                       past years. Relief from rain doesn't last long.
                       First daughter's sleep is fitful.


                       Mama, when will you die? She asked.


                       I don't know everything, I said. I hope I can see
                       you be a kid some more, grow up, be proud, make
                       cool things, think you found love, be wrong, help
                       people, and find love for real.


                       I try to not die too easy. Mommy and Tevis and
                       Grandma and Memaw will take care of you if I die
                       before you grow up. We party when people we love
                       die, you know. We finally see how cool their whole
                       life was. Life's precious because it isn't forever.


          o § Technology and Free Software⠀➾


                # ⚓ OCC25_Wrap_up⠀⇛


                       The system for the 2025 edition of the Old Computer
                       Challenge, an old Power Mac G4, is kind of a mini-
                       tower system under the desk, and a display,
                       keyboard, and mouse on the desk.


                       The last time I worked on this desk was around
                       2022, when I was still working, until my retirement
                       --only the university system was a lot more
                       capable.


                       I enjoy working on the Power Mac, I love the old 15
                       inch Graphite Apple Studio Display, and using a
                       real keyboard.


                       The downside is that my desk is on the attic, above
                       the garage, working on the Power Mac leaves my wife
                       alone in the living room, and therefor I didn't
                       spend that much time at the Power Mac.


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


    * Jamie_Zawinski_Complained_About_Wayland,_Then_Decided_to_Give_It_a_Go,
      Now_Complains_Again_About_Wayland
    * Framed_by_social_control_media:_Alex_Belfield,_Voice_of_Reason



                    ䷩ 𝚕𝚒𝚗𝚎 4310

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Links 20/07/2025: Fending Off BRICS and US
Government Attacks Its Own Media (Like China and
Russia)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jul 20, 2025


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


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * Leftovers
          o Standards/Consortia
          o Science
          o Hardware
          o Health/Nutrition/Agriculture
          o Proprietary
                # Social_Control_Media
          o Entrapment_(Microsoft_GitHub)
          o Security
          o Defence/Aggression
          o Environment
                # Energy/Transportation
          o Finance
          o Censorship/Free_Speech
          o Freedom_of_Information_/_Freedom_of_the_Press
          o Civil_Rights/Policing
          o Digital_Restrictions_(DRM)
          o Monopolies/Monopsonies
                # Copyrights
    * § Leftovers⠀➾


          o ⚓ New York Times ☛ Tear_It_Down,_They_Said._He_Just_Kept
            Building.⠀⇛


                 Defying demolition orders, a Chinese man turned his home
                 into a rickety 11-story tower. Now tourists are coming.


          o § Standards/Consortia⠀➾


                # ⚓ IT Wire ☛ Why_the_Future_of_PACS_Depends_on_Open
                  Standards⠀⇛


                       However, more than 90% of PACS installed today
                       still rely on the Wiegand protocol, making it the
                       most common communication method used by access
                       control devices. The Wiegand standard was developed
                       in the 1980s, so was not designed to keep pace with
                       the security demands of today’s organisations and
                       the increasingly complex threats that are emerging.


                       In a recent survey of IT professionals, facility
                       managers and physical security leaders conducted by
                       HID, respondents said they were aware (39%) or
                       somewhat aware (36%) of the security risks
                       associated with the Wiegand protocol, yet continue
                       to use it, while the remaining respondents (25%)
                       reported being completely unaware of the security
                       risks.


          o § Science⠀➾


                # ⚓ Science Alert ☛ Humanity_Has_Dammed_So_Much_Water_It's
                  Shifted_Earth's_Magnetic_Poles⠀⇛


                       Yikes.


                # ⚓ Science Alert ☛ Virus_Traces_Discovered_in_The_Brain_Lining
                  of_People_With_Schizophrenia⠀⇛


                       A startling new link emerges.


                # ⚓ Science Alert ☛ Confirmed:_Uranus_Really_Is_Hotter_Than_It
                  Has_Any_Right_to_Be⠀⇛


                       A mystery for the ages.


          o § Hardware⠀➾


                # ⚓ Hackaday ☛ Punch_Card_Controlled_Cyberdeck_Lives_In_80s
                  Toy⠀⇛


                       Have you ever seen a toy and said “That wants to be
                       a deck”? [Attoparsec] did, when his eyes fell upon
                       the Little Talking Scholar, a punch card driven toy
                       from the 1980s. It’s now a punch card driven
                       cyberdeck.


                # ⚓ Hackaday ☛ Neon_Lamp_Detects_Lightning_Strikes⠀⇛


                       For as mysterious, fascinating, and beautiful as
                       lightning is at a distance, it’s not exactly a
                       peaceful phenomenon up close. Not many things are
                       built to withstand millions of volts and tens to
                       hundreds of thousands of amps. Unsurprisingly,
                       there’s a huge amount of effort put into lightning
                       protection systems for equipment and resources that
                       need to be outside where thunderstorms sometimes
                       happen. Although most of us won’t be building
                       personal substations, church steeples, or city-
                       scale water towers in our backyards, we might have
                       a few radio antennas up in the air, so it’s a good
                       idea to have some lightning protection and possibly
                       an alert system like [Joe] built.


                # ⚓ Hackaday ☛ PicoGUS_Adds_CD-ROM_Emulation_To_ISA_Bus⠀⇛


                       Everything fails eventually, but moving parts fail
                       fastest of all– and optical drives seemingly more
                       than others, at least in our experience. Even when
                       they work, vintage drives often have trouble with
                       CD-R, and original media isn’t always easy to find.
                       That’s why it’s so wonderful that [polpo]’s RP2040
                       ISA card, the PicoGUS 2.0, now supports CD-ROM
                       emulation.


          o § Health/Nutrition/Agriculture⠀➾


                # ⚓ France24 ☛ Babies_born_from_three-person_IVF_trial⠀⇛


                       Eight healthy babies have been born in the UK using
                       a new IVF technique that successfully reduced their
                       risk of inheriting genetic diseases from their
                       mothers, according to the results of a world-first
                       trial published on July 16. Senior Group Leader at
                       Francis Crick Institute of London, D. Robin Lovell-
                       Badges explains.


                # ⚓ Stanford University ☛ From_the_Community_|_What_we’re
                  getting_wrong_about_mental_health_—_and_what_neuroscience
                  really_tells_us⠀⇛


                       Stanford researcher Abhinav Anne argues for better
                       mental health care centered around neuroscience
                       research and proactive measures, not only at elite
                       research institutions, but in community clinics as
                       well.


          o § Proprietary⠀➾


                # § Social Control Media⠀➾


                      # ⚓ The Straits Times ☛ Cool_photo_spots,_viral_food
                        videos:_Malaysia_plans_to_woo_Chinese_tourists_via
                        social_control_media⠀⇛


                             It is part of Tourism Malaysia's efforts to
                             reach out to the Chinese market for Visit
                             Malaysia 2026.


                      # ⚓ New York Times ☛ Astronomer_CEO_Andy_Byron_Resigns
                        After_Video_at_Coldplay_Concert_Exposes_Alleged
                        Affair⠀⇛


                             A video from a concert dominated internet
                             discourse, and it led to the resignation of a
                             company’s C.E.O.


                      # ⚓ NYPost ☛ Internet_trolls_roasted_Astronomer_CEO_and
                        HR_chief_for_Coldplay_scandal_—_here’s_what_they_said⠀⇛


                             It was the Coldplay canoodle heard ‘round the
                             world -- and it broke the internet.


          o § Entrapment (Microsoft GitHub)⠀➾


                # ⚓ Tom's Hardware ☛ Boot_exploit_for_software-bricked_Wii_U
                  consoles_discovered_by_repairing_Nintendo_factory's_destroyed
                  and_trashed_SD_cards_—_team_posts_'paid_the_beak'_exploit_to
                  Microsoft's_proprietary_prison_Microsoft's_proprietary_prison
                  GitHub⠀⇛


                       The discarded Nintendo SD cards contained a boot
                       image that Nintendo used for the factory setup of
                       its Wii U consoles.


          o § Security⠀➾


                # ⚓ France24 ☛ Singapore_facing_'serious'_cyberattack_by
                  espionage_group_with_alleged_China_ties⠀⇛


                       Singapore said Friday it was responding to a major
                       cyberattack on its critical infrastructure carried
                       out by an espionage group that security experts
                       allege is linked to China. The Chinese embassy in
                       Singapore described the allegations as "unwarranted
                       smearing".


                # ⚓ The Straits Times ☛ How_China’s_growing_cyber-hacking
                  capabilities_have_raised_alarm_around_the_world⠀⇛


                       Calling out Chinese-linked hacking has become more
                       common, particularly among Western countries.


          o § Defence/Aggression⠀➾


                # ⚓ Tom's Hardware ☛ U.S._legislators_criticize_decision_to
                  resume_Nvidia_H20_GPU_shipments_to_China_—_demand_new_export
                  rules_for_Hey_Hi_(AI)_hardware⠀⇛


                       Legislators criticize the U.S. government for
                       allowing AMD and Nvidia to sell Hey Hi (AI) GPUs to
                       China again, but instead of reinstating the ban,
                       they call for new export rules based on what China
                       can build itself.


                # ⚓ JURIST ☛ UN_chief_demands_justice_after_killings_and_mass
                  displacement_in_Syria_city_of_Suweida⠀⇛


                       UN Human Rights Chief Volker Türk called for urgent
                       accountability and a halt to escalating violence in
                       the southern Syrian city of Suweida on Friday,
                       following credible reports of mass killings,
                       arbitrary executions, looting, and the forced
                       displacement of civilians.


                # ⚓ JURIST ☛ US_House_approves_$9B_in_budget_cuts_to_public
                  broadcasting_and_foreign_aid⠀⇛


                       US House voted in favor of House Resolution 4 (HR4)
                       Thursday, which will retract approximately $9
                       billion in funds that had already been allocated
                       for the next two fiscal years. 


                # ⚓ New York Times ☛ Gaza_Health_Ministry_Says_Israeli_Military
                  Killed_32_Near_Aid_Site⠀⇛


                       The latest deaths add to U.N. figures showing that
                       more than 670 Palestinians have been killed since
                       May near sites built under a new Israel-backed aid
                       system.


                # ⚓ The Straits Times ☛ South_Korea’s_ex-president_Yoon
                  indicted_again_as_martial_law_probe_continues⠀⇛


                       The new charges include obstruction of the exercise
                       of others’ rights by abuse of authority.


                # ⚓ CS Monitor ☛ South_Korea_ex-President_Yoon_indicted_on
                  additional_criminal_charges⠀⇛


                       South Korea’s former President Yoon Suk Yeol faces
                       new criminal charges for abusing power and
                       fabricating documents related to his martial law
                       declaration.


                # ⚓ The Straits Times ☛ From_propaganda_to_passion:_N._Korean
                  TV_show_mimics_K-drama_to_fend_off_banned_media_from_the
                  South⠀⇛


                       It is likely a move towards more engaging content,
                       to prevent North Koreans from consuming foreign
                       media.


                # ⚓ JURIST ☛ France_withdraws_last_troops_in_Senegal,_ending
                  permanent_presence⠀⇛


                       France officially transferred control of its last
                       military installations in Senegal to local
                       authorities in a ceremony on Thursday, concluding
                       over 350 French troops’ permanent deployment since
                       Senegal gained independence in 1960.


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


                      # ⚓ RFERL ☛ Nearly_400_Drones,_Missiles_Fired_At_Ukraine
                        As_Russia_Shows_No_Signs_Of_Let-Up⠀⇛


                             Russian drones and missiles unleashed a
                             deadly assault on Ukraine's Black Sea port of
                             Odesa and other cities on July 19, leaving at
                             least one dead and several injured, as
                             Moscow's relentless attacks on civilian areas
                             escalate amid faltering cease-fire efforts.


                      # ⚓ JURIST ☛ UK_sanctions_Russia_intelligence_force,
                        including_those_responsible_for_Mariupol_theater
                        bombing⠀⇛


                             The UK announced new sanctions Friday against
                             Russia directed at three units of the Russian
                             military intelligence agency “GRU” and 18
                             military intelligence officers “responsible
                             for spreading chaos and disorder on Putin’s
                             orders” and malicious cyber activity over
                             many years, according to local media.


                      # ⚓ France24 ☛ Zelensky_calls_for_new_peace_talks_as
                        Russian_strikes_kill_three_in_Ukraine⠀⇛


                             Ukrainian President Volodymyr Zelensky on
                             Saturday said Kyiv has proposed renewed peace
                             talks with Moscow next week, urging direct
                             negotiations with President Vladimir Putin.
                             The call comes as Russian strikes killed at
                             least three people in Ukraine, with both
                             sides continuing to escalate aerial assaults
                             despite mounting international pressure to
                             reach a ceasefire.


                      # ⚓ France24 ☛ Russian_strikes_kill_at_least_three_across
                        Ukraine_amid_escalating_drone_attacks⠀⇛


                             Russian missile strikes killed three people
                             across Ukraine on Saturday, while Ukrainian
                             drone attacks briefly halted train services
                             in Russia’s Rostov region. The conflict, now
                             in its third year, continues to escalate
                             despite mounting international pressure and
                             new EU sanctions targeting Moscow’s war
                             funding. Shirli Sitbon has this story.


                      # ⚓ JURIST ☛ Russia_prisoner_sentenced_to_additional
                        years_for_discussing_Ukraine_invasion_with_cellmates⠀⇛


                             A Russian military court sentenced a prisoner
                             to an additional six years of imprisonment
                             and a fine of 49,000 rubles (approximately
                             $600) on the charges of public calls to
                             terrorism and the spread of “war fakes,”
                             according to local media. >


                      # ⚓ RFERL ☛ Usyk_Knocks_Out_Dubois_In_Fifth_Round_To
                        Reclaim_Undisputed_Heavyweight_Title⠀⇛


                             Ukrainian Oleksandr Usyk knocked out Daniel
                             Dubois in the fifth round of their
                             heavyweight bout in Wembley Stadium in London
                             on July 19, earning Usyk the title of
                             undisputed world heavyweight champion for a
                             second time.


                      # ⚓ New York Times ☛ Russia_Makes_Gains_in_Ukraine_in
                        Summer_Offensive⠀⇛


                             The most important factors may be far from
                             the battlefield.


                      # ⚓ France24 ☛ New_Russian_law_criminalizes_online
                        searches_for_controversial_content⠀⇛


                             Russian lawmakers on Thursday approved a
                             contentious law that significantly broadens
                             the government's power to penalize internet
                             users — not for posting banned content, but
                             merely for searching or viewing it. Liza
                             Kaminov has more.


                      # ⚓ Marcy Wheeler ☛ The_Secrets_about_Russia’s_Influence
                        Operation_that_Tulsi_Gabbard_Is_Still_Keeping_from_Us⠀⇛


                             At least as part of her information
                             operation, Tulsi Gabbard released a newly
                             declassified version of the 2017 Intelligence
                             Assessment on the 2016 Russian attack.


          o § Environment⠀➾


                # ⚓ Hong Kong Free Press ☛ Tropical_Cyclone_Wipha:_Hong_Kong
                  raises_T3_storm_signal,_will_consider_T8_in_early_hours_of
                  Sunday⠀⇛


                       The Observatory raised the T3 storm signal at 2:
                       20pm on Saturday as Tropical Cyclone Wipha closed
                       in on China’s southern coast.


                # ⚓ Hong Kong Free Press ☛ Typhoon_Wipha:_Hong_Kong_hoists_T10
                  hurricane_warning_–_highest_signal_–_as_residents_urged_to
                  stay_home⠀⇛


                       The Observatory has raised the 10 storm signal, as
                       hurricane-force Wipha descends on China’s southern
                       coast. After hoisting highest storm signal at 9:
                       20am on Sunday, the Observatory said that the alert
                       would probably stay in place for some time: “Do not
                       go outside and stay away from exposed windows and
                       doors.


                # ⚓ The Straits Times ☛ Hong_Kong_axes_flights,_classes_as
                  Typhoon_Wipha_nears⠀⇛


                       China’s Hainan and Guangdong provinces were also
                       put on high alert.


                # ⚓ The Straits Times ☛ Three_dead,_three_missing_after_South
                  Korea_landslide⠀⇛


                       Heavy rain pounding the country had unleashed the
                       landslide that buried two houses in a village.


                # ⚓ The Straits Times ☛ One_killed_as_South_Korea_rain_death
                  toll_rises_to_11⠀⇛


                       Authorities said at least four people are believed
                       to be missing.


                # § Energy/Transportation⠀➾


                      # ⚓ The Straits Times ☛ South_Korea_pulls_plane_crash
                        report_after_victims’_families_protest⠀⇛


                             Relatives of the victims disrupted a news
                             conference after finding the report into the
                             deadly Jeju Air crash inadequate.


                      # ⚓ The Straits Times ☛ Autogate_glitch_at_Malaysia’s
                        major_checkpoints_causes_chaos_for_S’porean_and_foreign
                        travellers⠀⇛


                             However, Malaysian passport holders are able
                             to use the autogates without any issues.


          o § Finance⠀➾


                # ⚓ The Straits Times ☛ Dihydroxyacetone_Man_duties_to_decimate
                  China_profits,_says_Bloomberg_Economics⠀⇛


                       Tariffs may prompt – in the worst case – layoffs
                       and potentially a wave of bankruptcies and
                       closures.


                # ⚓ The Straits Times ☛ China_vows_tougher_action_against
                  smuggling_of_strategic_minerals⠀⇛


                       The government has accused foreign spy agencies of
                       having tried to 'steal' rare earths.


                # ⚓ The Straits Times ☛ China_defends_growth_model,_says
                  domestic_consumption_is_driving_the_economy⠀⇛


                       A senior finance official said China’s “certainty
                       and stability” are what the global economy “needs
                       most right now”.


          o § Censorship/Free Speech⠀➾


                # ⚓ Tom's Hardware ☛ GTA_5_finally_launches_in_Saudi_Arabia_and
                  the_UAE_12_years_after_its_global_release_—_will_be_age-rated
                  21+_as_part_of_the_new_regulatory_framework⠀⇛


                       GTA 5 was released worldwide in 2013. Now, almost
                       12 years later, gamers in Saudi Arabia and the UAE
                       can finally enjoy the game legally, as it launches
                       in the region under a new 21+ age rating.


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


                # ⚓ France24 ☛ The_Insurrectionist_escalates_war_on_the_press
                  as_journalists_face_mounting_pressure⠀⇛


                       The Forrest Dump lawsuit against The Wall Street
                       Journal is the latest move by the U.S. President to
                       exert pressure on the media group and the press in
                       the United States. Critics say it could stifle free
                       speech in America. Shirli Sitbon reports.


          o § Civil Rights/Policing⠀➾


                # ⚓ JURIST ☛ US_citizen_and_veteran_says_immigration_officials
                  detained_him_for_3_days_without_explanation⠀⇛


                       US citizen and Army veteran George Retes on
                       Wednesday spoke out after being arrested during an
                       immigration raid at his work in a California
                       cannabis farm, stating that he was arrested and
                       detained for three days without explanation.


          o § Digital Restrictions (DRM)⠀➾


                # ⚓ Hackaday ☛ A_Spectrophotometer_Jailbreak_To_Resolve
                  Colorful_Disputes⠀⇛


                       The human eye’s color perception is notoriously
                       variable (see, for example, the famous dress),
                       which makes it difficult to standardize colours.
                       This is where spectrophotometers come in: they
                       measure colours reliably and repeatably, and can
                       match them against a library of standard colors.
                       Unfortunately, they tend to be expensive, so when
                       Hackaday’s own [Adam Zeloof] ran across two
                       astonishingly cheap X-Rite/Pantone RM200
                       spectrophotometers on eBay, he took the chance that
                       they might still be working.


      § Monopolies/Monopsonies⠀➾


          o § Copyrights⠀➾


                # ⚓ JURIST ☛ US_federal_judge_certifies_class_action_against
                  Anthropic_over_Hey_Hi_(AI)_training_piracy⠀⇛


                       A US federal judge in California certified a class
                       action lawsuit against the Hey Hi (AI) company
                       Anthropic on Thursday. The lawsuit encompasses
                       millions of copyrighted books that were allegedly
                       pirated to train Anthropic’s Claude Hey Hi (AI)
                       platform, setting the stage for what may become one
                       of the largest copyright monopoly infringement
                       cases in US history. 


    * Framed_by_social_control_media:_Alex_Belfield,_Voice_of_Reason
    * Links_20/07/2025:_Security_Breaches_and_Former_'Open'_'AI'_Engineer_on
      Hype_and_Culture_Issues



                    ䷩ 𝚕𝚒𝚗𝚎 4943

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Links 20/07/2025: More GAFAM Lawsuits,
Layoffs, and SLAPPs⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jul 20, 2025


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


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


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


          o § Science⠀➾


                # ⚓ Spiegel ☛ Thomas_Südhof_on_America's_Crisis_in_Academia:
                  "The_Goal_of_the_Trump_Administration_Is_to_Destroy_the
                  Elite"⠀⇛


                       In recent months, the Trump administration has
                       massively cut public funding to American
                       universities, suspended the granting of visas to
                       foreign students and fired vaccination experts from
                       positions in government agencies. In late May, he
                       issued an executive order calling for a "gold
                       standard” in science, which would then be monitored
                       by the state. Trump has justified these attacks on
                       academic independence in part by pointing to
                       mistakes made in laboratories run by renowned
                       researchers.


                       In Südhof’s laboratory at Stanford University in
                       California, such a mistake took place in studies
                       about the functioning of the brain. In a lecture
                       delivered at Lindau entitled "What Can Go Wrong?”,
                       the Nobel laureate addressed the accusations. Prior
                       to the presentation, he published the data from his
                       laboratory.


                # ⚓ Omicron Limited ☛ Machine_learning_uncovers_10_times_more
                  earthquakes_in_Yellowstone_caldera⠀⇛


                       A key finding in the study is that more than half
                       of the earthquakes recorded in Yellowstone were
                       part of earthquake swarms—groups of small,
                       interconnected earthquakes that spread and shift
                       within a relatively small area over a relatively
                       short period of time. This is unlike an aftershock,
                       which is a smaller earthquake that follows a larger
                       mainshock in the same general area.


                # ⚓ Aeon Media Group Ltd ☛ Is_it_time_to_chart_a_new_path_for
                  xenolinguistics_through_sci-fi?⠀⇛


                       The problem is that the extraterrestrials that
                       xenolinguists claim to seek are often beings
                       imagined to have technologies, minds or languages
                       similar to ours. They are projections of ourselves.
                       This anthropomorphism risks blinding us to truly
                       alien communicators, who are radically unlike us.
                       If there are linguistic beings on planets such as
                       TOI-700 d or Kepler-186f, or elsewhere in our
                       galaxy, their modes of communication may be utterly
                       incomprehensible to us. How, then, can
                       xenolinguistics face its deficit of imagination?


                # ⚓ Jeremy Kun ☛ Frequently_Asked_Questions_about_FHE_||_Math_∩
                  Programming⠀⇛


                       I work on homomorphic encryption (HE or FHE for
                       “fully” homomorphic encryption) and I have written
                       a lot about it on this blog (see the relevant tag).
                       This article is a collection of short answers to
                       questions I see on various threads and news
                       aggregators discussing FHE.


          o § Career/Education⠀➾


                # ⚓ Robert Birming ☛ Beginner's_mind⠀⇛


                       Maybe we need to embrace the approach of a
                       beginner’s mind, to borrow a Zen term. A childlike
                       way of seeing the world and our place in it. A
                       world where curiosity and knowledge walk side by
                       side.


          o § Hardware⠀➾


                # ⚓ The Moscow Times ☛ ‘A_Revolution_in_Drone_Warfare’:_As
                  Russian_Fiber-Optic_Drones_Flood_the_Battlefield,_Ukraine
                  Scrambles_to_Catch_Up⠀⇛


                       “Thanks to a fiber-optic cable, which can extend up
                       to 10-20 kilometers, we can maintain the connection
                       between the drone and its pilot,” he explains.


                       “Having that connection makes the drone
                       undetectable — and above all, completely
                       invulnerable to any form of electronic warfare,”
                       adds Volodymyr Makhitko, Technohawk’s chief
                       engineer.


          o § Health/Nutrition/Agriculture⠀➾


                # ⚓ Deutsche Welle ☛ 2025-07-16_[Older]_Vibrio_bacteria:_How_to
                  swim_in_European_waters_and_survive⠀⇛


                # ⚓ [Old] David A Tinapple ☛ Silence_is_a_Commons_by_Ivan
                  Illich⠀⇛


                       Computers are doing to communication
                       what fences did to pastures
                       and cars did to streets.


          o § Proprietary⠀➾


                # ⚓ Notebook Check ☛ Nintendo_touts_high_employee_retention
                  rate_after_loss_of_Microsoft_jobs_rocks_Xbox_Game_Studios⠀⇛


                       Workers should feel more secure in their Nintendo
                       jobs than with positions at Xbox Game Studios.
                       Statistics confirm that Nintendo's employee
                       turnover rate is well below industry averages.
                       Analysts believe that the company's rigid control
                       over the development of Switch 2 games leads to the
                       stability.


                # ⚓ Riccardo Mori ☛ The_cost_of_selfishness_|_Riccardo_Mori⠀⇛


                       That’s why I always chuckle bitterly when I hear
                       people say We should vote with our wallet, meaning
                       we can sort of change the course of a company’s
                       success by refusing to buy whatever said company
                       shoves in our faces. It’s not going to happen.
                       Because, deep down, we don’t care. When we take the
                       stance of I only care about what are the best tools
                       for me, I don’t care about the companies that make
                       them, it’s this not caring and this selfishness
                       what makes these companies ‘win’, and what makes
                       these companies too big to fail. And ultimately
                       what makes the status quo so hard to change.


                # § Artificial Intelligence (AI) / LLM Slop / Plagiarism⠀➾


                      # ⚓ Uwe Friedrichsen ☛ Thoughts_on_AI_and_software
                        development_-_Part_5⠀⇛


                             In the previous post, we completed our
                             analysis of the projection Steve made by
                             looking at some unresolved side effects and
                             questions that would come with such a future.


                             In this final post of this series, we will
                             look at how we can hedge our options with
                             such a scenario on the possible horizon and
                             maybe tweak it a bit in our favor. Finally, I
                             will wrap up with a few thoughts on how to
                             deal with such sometimes grim and
                             discomforting looking developments.


                             But before we start looking into our options,
                             let us briefly recapitulate what we have
                             discussed so far from a bit different point
                             of view.


                      # ⚓ Shrivu Shankar ☛ Assistants_Aren't_the_Future_of_AI⠀⇛


                             Today’s most popular vision for the future of
                             AI is also the least imaginative one. The
                             perfect AI assistant feels like the end-game,
                             but it's just the prelude to a much more
                             significant shift in design: the move from AI
                             Assistants to AI Orchestrators.


                      # ⚓ Evan Hahn ☛ Local_LLMs_versus_offline_Wikipedia⠀⇛


                             This made me wonder: how do the sizes of
                             local LLMs compare to the size of offline
                             Wikipedia downloads?


                      # ⚓ Pivot to AI ☛ Google_Veo_fails_week_4:_the_final
                        faildown⠀⇛


                             AI shills keep claiming that AI video
                             generators, such as Veo 3, can make
                             professional quality work, and they are
                             lying. But talk is cheap – we’ve got the
                             fails!


                             Most of this last selection fails in the same
                             ways it failed in previous weeks. One thing
                             we saw a couple of times is that if you do
                             four clips in a row, it pixelates badly:
                             [...]


                      # ⚓ Futurism ☛ Leaked_Document_Reveals_Troubling_Details
                        About_How_AI_Is_Really_Being_Trained⠀⇛


                             Fueling the multi-billion dollar AI industry
                             is a vast army of remote contract workers,
                             often from less wealthy countries like the
                             Philippines, Pakistan, Kenya, and India. Most
                             data labelers are typically overworked and
                             underpaid, and have to contend with the
                             mental impact of repetitive work, punitive
                             bosses, as well as exposure to hate speech,
                             violent rhetoric, or other harmful and
                             desensitizing material.


                      # ⚓ The Telegraph UK ☛ Influencer_who_went_viral_at
                        Wimbledon_is_actually_AI⠀⇛


                             Mia Zelu looked every inch the tennis-
                             adjacent celebrity except for one detail: she
                             doesn’t exist


                      # ⚓ The Verge ☛ Delta_is_using_AI_to_set_the_maximum
                        price_you’re_willing_to_pay⠀⇛


                             “They are trying to see into people’s heads
                             to see how much they’re willing to pay,”
                             Justin Kloczko of Consumer Watchdog told the
                             publication. “They are basically hacking our
                             brains.” Arizona Sen. Ruben Gallego described
                             it as “predatory pricing” that’s designed to
                             “squeeze you for every penny.”


                      # ⚓ Fortune ☛ Delta_moves_toward_eliminating_set_prices
                        in_favor_of_AI_that_determines_how_much_you_personally
                        will_pay_for_a_ticket_|_Fortune⠀⇛


                             While differential pricing is not illegal per
                             se, federal laws prohibit charging different
                             rates to people based on their sex or
                             ethnicity, and the use of some identifiers
                             like ZIP codes have been shown to have a
                             disparate impact on protected classes.
                             Without a public record of all fares, it
                             would be difficult, if not impossible, to
                             determine if Delta is charging vastly
                             different fares to people based on their
                             membership in a protected class.


                      # ⚓ Forbes ☛ Will_Delta_Airlines'_AI_Pricing_Trigger_A
                        Customer_Trust_Crisis?⠀⇛


                             The person sitting next to you may have paid
                             much more or much less for the same flight.
                             Prices varied based on when you booked, or
                             whether your fare was fully refundable.
                             Booking early was usually cheaper. Booking at
                             the last minute might be far more expensive
                             if few seats remained, or even cheaper if the
                             flight was still half empty. Prices varied
                             continuously based on bookings and predicted
                             demand. The system could result in major fare
                             discrepancies, but it still felt
                             fundamentally fair. The rules applied equally
                             to everyone.


                             Delta’s AI pricing destroys this perception.
                             When an algorithm determines your personal
                             price based on masses of data unique to you
                             but with no transparency, you’ll likely feel
                             cheated.


                      # ⚓ EWeek ☛ Delta_Uses_AI_to_Set_Personalised_Prices_for
                        Some_Flights⠀⇛


                             “We’re in heavy testing phase,” he said. “We
                             like what we see. We like it a lot and we’re
                             continuing to roll it out.” This isn’t a huge
                             surprise, given a 2022 study from Yale
                             University found that personalised pricing
                             increased profits for airlines by up to 5%.


                             Typically, Delta’s Pricing team defines the
                             fare levels available for a flight, and then
                             the Revenue Management team determines the
                             number of seats available at each price
                             point, based on static factors such as
                             previous demand and booking pace. But, as AI
                             can take into account dynamic factors in
                             real-time, it can continuously adjust fares
                             and seat availability, leading to more
                             profitable pricing decisions.


                      # ⚓ The Independent UK ☛ Delta’s_AI_pricing_—_good_or
                        bad?_Experts_give_their_verdicts_(and_it’s_not_great
                        news_for_business-class_fliers)⠀⇛


                             Sean Cudahy from The Points Guy explains:
                             "We've all searched a flight, found a price,
                             and come back the next day to see that it's
                             spiked by $100. Or, maybe, you got lucky and
                             it dropped by $50. Expect more of that.


                      # ⚓ The Guardian UK ☛ Netflix_uses_generative_AI_in_one
                        of_its_shows_for_first_time⠀⇛


                             Ted Sarandos, a co-chief executive of
                             Netflix, said the Argentinian science fiction
                             series El Eternauta (The Eternaut) was the
                             first it had made that involved using
                             generative AI footage.


                # § Social Control Media⠀➾


                      # ⚓ International Business Times ☛ 2025-07-16_[Older]
                        Mikayla_Raines_Cause_of_Death_Confirmed:_New_Details
                        about_YouTuber's_Suicide_Emerges⠀⇛


          o § Security⠀➾


                # § CISA⠀➾


                      # ⚓ CISA ☛ 2025-07-15_[Older]_CISA_Releases_Six
                        Industrial_Control_Systems_Advisories⠀⇛


                      # ⚓ CISA ☛ 2025-07-15_[Older]_Hitachi_Energy_Asset
                        Suite⠀⇛


                      # ⚓ CISA ☛ 2025-07-15_[Older]_ABB_RMC-100⠀⇛


                      # ⚓ CISA ☛ 2025-07-15_[Older]_LITEON_IC48A_and_IC80A_EV
                        Chargers⠀⇛


                      # ⚓ CISA ☛ 2025-07-14_[Older]_CISA_Adds_One_Known
                        Exploited_Vulnerability_to_Catalog⠀⇛


                      # ⚓ CISA ☛ 2025-07-10_[Older]_CISA_Adds_One_Known
                        Exploited_Vulnerability_to_Catalog⠀⇛


                      # ⚓ CISA ☛ 2025-07-10_[Older]_CISA_Releases_Thirteen
                        Industrial_Control_Systems_Advisories⠀⇛


                      # ⚓ CISA ☛ 2025-07-10_[Older]_Siemens_SINEC_NMS⠀⇛


                      # ⚓ CISA ☛ 2025-07-10_[Older]_Siemens_Solid_Edge⠀⇛


                      # ⚓ CISA ☛ 2025-07-10_[Older]_Siemens_TIA_Administrator⠀⇛


                      # ⚓ CISA ☛ 2025-07-10_[Older]_Siemens_SIMATIC_CN_4100⠀⇛


                      # ⚓ CISA ☛ 2025-07-10_[Older]_Siemens_TIA_Project-Server
                        and_TIA_Portal⠀⇛


                      # ⚓ CISA ☛ 2025-07-10_[Older]_Siemens_SIPROTEC_5⠀⇛


                      # ⚓ CISA ☛ 2025-07-10_[Older]_Delta_Electronics_DTM
                        Soft⠀⇛


                      # ⚓ CISA ☛ 2025-07-10_[Older]_Advantech_iView⠀⇛


                      # ⚓ CISA ☛ 2025-07-10_[Older]_KUNBUS_RevPi_Webstatus⠀⇛


                      # ⚓ CISA ☛ 2025-07-10_[Older]_End-of-Train_and_Head-of-
                        Train_Remote_Linking_Protocol⠀⇛


                # § Privacy/Surveillance⠀➾


                      # ⚓ Ben Werdmuller ☛ Microsoft_can't_protect_French_data
                        from_US_government_access⠀⇛


                             Microsoft’s disclosure that it can’t protect
                             French data from being silently accessed by
                             its US business is in apparent tension with
                             the GDPR but in compliance with the US CLOUD
                             Act: [...]


                      # ⚓ EFF ☛ Amazon_Ring_Cashes_in_on_Techno-
                        Authoritarianism_and_Mass_Surveillance⠀⇛


                             Ring founder Jamie Siminoff is back at the
                             helm of the surveillance doorbell company,
                             and with him is the surveillance-first-
                             privacy-last approach that made Ring one of
                             the most maligned tech devices. Not only is
                             the company reintroducing new versions of old
                             features which would allow police to request
                             footage directly from Ring users, it is also
                             introducing a new feature that would allow
                             police to request live-stream access to
                             people’s home security devices.


                             This is a bad, bad step for Ring and the
                             broader public.


                      # ⚓ The Telegraph UK ☛ Landlines_less_popular_than
                        Facebook_for_making_phone_calls⠀⇛


                             Landline use has been in steady decline over
                             recent years as Britons rely more on
                             smartphones and as voice calls go out of
                             fashion. Ofcom data last year showed the
                             majority of UK households now no longer have
                             a landline.


          o § Defence/Aggression⠀➾


                # ⚓ Deutsche Welle ☛ 2025-07-11_[Older]_Myanmar's_armed_rebel
                  groups_lose_edge_in_drone_warfare⠀⇛


                # ⚓ Deutsche Welle ☛ 2025-07-11_[Older]_Nigeria_rejects_US
                  pressure_to_accept_deported_Venezuelans⠀⇛


                # ⚓ Deutsche Welle ☛ 2025-07-11_[Older]_Outrage_in_Brazil_as
                  Donald_Cheeto_Mussolini_threatens_tariffs_of_50%⠀⇛


                # ⚓ Deutsche Welle ☛ 2025-07-11_[Older]_Pakistan:_Gunmen_kill_9
                  Punjabis_in_Balochistan_bus_attack⠀⇛


                # ⚓ Deutsche Welle ☛ 2025-07-11_[Older]_PKK_fighters_begin
                  handing_over_weapons_at_ceremony⠀⇛


                # ⚓ Deutsche Welle ☛ 2025-07-11_[Older]_Tunisia_president's
                  far-reaching_clampdown_targets_opponents⠀⇛


                # ⚓ Deutsche Welle ☛ 2025-07-16_[Older]_Turkey:_Istanbul_mayor
                  Imamoglu_hit_with_new_jail_term⠀⇛


                # ⚓ ANF News ☛ 2025-07-15_[Older]_Ahmet_Dikmen_remains_in
                  prison_in_Spain,_risks_extradition_to_Turkey⠀⇛


                # ⚓ ANF News ☛ 2025-07-14_[Older]_Kurdish_activist_detained_in
                  Spain_faces_deportation_to_Turkey⠀⇛


                # ⚓ ANF News ☛ 2025-07-16_[Older]_Druze_people_appeal_to_the
                  international_community:_"Save_Suwayda"⠀⇛


                # ⚓ ANF News ☛ 2025-07-16_[Older]_Suwayda_crisis:_Israel_gives
                  order_to_strike_Damascus_forces⠀⇛


                # ⚓ ANF News ☛ 2025-07-16_[Older]_YPJ_condemns_attacks_on_the
                  Druze_people:_We_are_ready_to_confront_all_dark_forces_that
                  target_women⠀⇛


                # ⚓ Deutsche Welle ☛ 2025-07-16_[Older]_Israeli_army_says_it
                  hit_Syria's_military_HQ_in_Damascus⠀⇛


                # ⚓ The Age AU ☛ 2025-07-16_[Older]_Israel_steps_up_Syria
                  strikes,_hitting_military_headquarters_in_Damascus⠀⇛


                # ⚓ US News And World Report ☛ 2025-07-16_[Older]_Blast_Heard
                  in_Syrian_Capital_Damascus,_Reuters_Witness_Says⠀⇛


                # ⚓ US News And World Report ☛ 2025-07-16_[Older]_Israel
                  Launches_Heavy_Airstrikes_in_Damascus,_Vowing_to_Shield
                  Druze⠀⇛


                # ⚓ US News And World Report ☛ 2025-07-16_[Older]_Israeli
                  Drones_Target_Syria's_Sweida_City,_State_News_Agency_Says⠀⇛


                # ⚓ US News And World Report ☛ 2025-07-16_[Older]_Israel
                  Strikes_in_Damascus_as_Clashes_Between_Government_and_Druze
                  Minority_Rage_On⠀⇛


                # ⚓ US News And World Report ☛ 2025-07-16_[Older]_Syria's_Druze
                  Reach_New_Ceasefire_Deal_With_Government_in_Sweida,_Religious
                  Leader_Says⠀⇛


                # ⚓ ANF News ☛ 2025-07-15_[Older]_At_least_37_killed_in_clashes
                  in_Suwayda⠀⇛


                # ⚓ Deutsche Welle ☛ 2025-07-14_[Older]_Syria:_Dozens_killed_in
                  sectarian_clashes⠀⇛


                # ⚓ Truthdig ☛ 2025-07-14_[Older]_Lifting_Sanctions_on_Syria
                  Exposes_Their_Cruel_Intent⠀⇛


                # ⚓ US News And World Report ☛ 2025-07-14_[Older]_At_Least_30
                  People_Killed_in_Armed_Clashes_in_Syria's_Sweida,_Interior
                  Ministry_Says⠀⇛


                # ⚓ US News And World Report ☛ 2025-07-14_[Older]_Here's_What
                  Triggered_the_Latest_Deadly_Sectarian_Clashes_in_Syria,_and
                  Why_It_Matters⠀⇛


                # ⚓ Scheerpost ☛ 2025-07-13_[Older]_US_Envoy:_Disarm_Hezbollah
                  or_Israel,_Syria_Will_Conquer_Lebanon⠀⇛


                # ⚓ US News And World Report ☛ 2025-07-13_[Older]_More_Than_30
                  Killed_in_Sectarian_Clashes_in_Syria's_Sweida,_Interior
                  Ministry_Says⠀⇛


                # ⚓ Deutsche Welle ☛ 2025-07-11_[Older]_Kidnapped,_abused:
                  Reports_of_missing_Alawite_women_in_Syria⠀⇛


                # ⚓ US News And World Report ☛ 2025-07-11_[Older]_Satellite
                  Photos_Suggest_Iran_Attack_on_Qatar_Air_Base_Hit_Geodesic
                  Dome_Used_for_US_Communications⠀⇛


                # ⚓ Deutsche Welle ☛ How_far-right_social_media_impacted
                  Germany's_highest_court⠀⇛


                       Researchers say a far-right social media campaign —
                       that painted a respected law professor as extremist
                       — caused the suspension of the election of judges
                       to Germany's highest court.


                # ⚓ Los Angeles Times ☛ How_the_TikTok_algorithm_created_new
                  words_like_'unalive'⠀⇛


                       A Harvard graduate with a linguistics degree, he
                       has now published a book called “Algospeak: How
                       Social Media Is Transforming the Future of
                       Language,” which explores in depth some of his more
                       fanciful and fascinating theories. We chatted with
                       Aleksic about edutainment, brainrot and President
                       Trump as influencer in chief.


                # ⚓ The Nation ☛ “This_Is_the_Biggest_Threat_to_Our_Democracy
                  That_Nobody’s_Talking_About”⠀⇛


                       Casar spoke to The Nation about what’s at stake for
                       voting rights in Texas—where, as he notes, GOP
                       gerrymandering is already severe: “Right now, it is
                       12 Democrats and 35 Republicans, with one vacancy,
                       in a state that [Republican Senator] Ted Cruz
                       couldn’t even get 51 percent of the vote in in
                       2018.” Casar warns that if Republicans get away
                       with radically redrawing Texas congressional
                       districts to favor the GOP and protect Trump even
                       more, this model for assaulting voting rights will
                       quickly move to other red states.


                # ⚓ The Record ☛ UK_sanctions_Russian_cyber_spies_accused_of
                  facilitating_murders⠀⇛


                       “GRU spies are running a campaign to destabilise
                       Europe, undermine Ukraine’s sovereignty and
                       threaten the safety of British citizens. Putin’s
                       hybrid threats and aggression will never break our
                       resolve. The UK and our Allies support for Ukraine
                       and Europe’s security is ironclad,” added Lammy.


                # ⚓ The Record ☛ Singapore_accuses_Chinese_state-backed_
                  [crackers]_of_attacking_critical_infrastructure_networks⠀⇛


                       In a speech, Singapore’s Coordinating Minister for
                       National Security K. Shanmugam highlighted the
                       activity of UNC3886, an espionage group that has
                       previously targeted routers and network security
                       devices to infiltrate critical entities.


                # ⚓ Mike Brock ☛ A_United_Opposition_For_America⠀⇛


                       The philosophical foundation for this unity is
                       simple: we share a nation. Not by choice, not by
                       ideology, not by agreement on what that nation
                       should become, but by the basic fact that we are
                       bound together by the consequences of collective
                       choices whether we like it or not. Democracy isn't
                       just a political preference—it's the framework that
                       makes peaceful coexistence possible for people who
                       fundamentally disagree about how life should be
                       lived.


                       Consider what we're actually fighting for. We're
                       not fighting for our policy preferences
                       anymore—we're fighting for the constitutional
                       framework that makes policy preferences matter. The
                       arena where democracy happens. The institutional
                       architecture that transforms political disagreement
                       from violent conflict into productive competition.


                # ⚓ National Interest ☛ Why_the_Muslim_Brotherhood_Should_Be
                  Designated_as_a_Terrorist_Organization⠀⇛


                       The Muslim Brotherhood, since its founding in 1928
                       by Hassan al-Banna, has never been merely a
                       religious or charitable organization. It is a
                       political project with a singular purpose: to
                       install Islamist regimes across the world through a
                       combination of propaganda, infiltration, and, when
                       necessary, violent jihad. This is not hyperbole.
                       This is documented history.


                       The Muslim Brotherhood is the ideological
                       forefather of Hamas, a group designated as a
                       terrorist organization by the United States, the
                       European Union, and much of the international
                       community. Hamas is not simply an affiliate—it is
                       the Palestinian branch of the Brotherhood. Its
                       charter explicitly states that it is “one of the
                       wings of the Muslim Brotherhood in Palestine.”


                # ⚓ Hindustan Times ☛ ISIS-style_religious_conversion:_UP
                  Police_arrest_10,_trace_funding_to_US,_UK,_Dubai⠀⇛


                       “Few shocking things have come to light —
                       international ‘jihadi’ funding for ‘jihad’ was
                       received, radicalisation and unlawful religious
                       conversion with the intention of hampering national
                       security,” he said. “In this connection, 10 people
                       across 6 states have been arrested,” he added.


                # ⚓ CS Monitor ☛ Under_Russia’s_shadow,_Finland_makes_national
                  security_a_society-wide_effort⠀⇛


                       For an awakening Europe, and a world seemingly
                       stuck in chronic crises, the Finnish approach to
                       security holds potentially transformational
                       lessons. This year, a great rearming of the
                       continent is underway as European officials
                       conclude they can no longer depend on the United
                       States to help defend them from potential Russian
                       aggression.


          o § Transparency/Investigative Reporting⠀➾


                # ⚓ Marcy Wheeler ☛ The_Secrets_about_Russia's_Influence
                  Operation_that_Tulsi_Gabbard_Is_Still_Keeping_from_Us⠀⇛


                       There are a number of things that either did not
                       exist in the public version or remain significantly
                       redacted. For example: [...]


                # ⚓ Marcy Wheeler ☛ Pam_Bondi_Reportedly_Created_1,000
                  Witnesses_to_the_Jeffrey_Epstein_File⠀⇛


                       Remember: Trump’s appointees have fired two people
                       who would know details of this: the head of the NY
                       Field Office, James Dennehy, who was forced to
                       retire amid allegations the NYFO was sitting on the
                       files, and Maurene Comey, who has been involved in
                       FOIA responses regarding these files.


                       Either could now give protected whistleblower
                       statements to Durbin.


          o § Environment⠀➾


                # ⚓ India Times ☛ Their_water_taps_ran_dry_when_Meta_built_next
                  door⠀⇛


                       Meta's data center in Newton County, Georgia, is
                       linked to water problems. Beverly and Jeff Morris
                       faced dry taps and sediment issues. Local wells are
                       damaged, and water costs are soaring. Newton County
                       may face a water deficit by 2030. Data centers
                       consume vast amounts of water. The county is
                       upgrading recycling facilities.


                # § Energy/Transportation⠀➾


                      # ⚓ BIA Net ☛ 2025-07-16_[Older]_Turkey_prepares_to_open
                        olive_groves_for_mining_to_‘feed_power_plants’⠀⇛


                      # ⚓ Deutsche Welle ☛ 2025-07-11_[Older]_Lufthansa_CEO's
                        wife_investigated_over_fatal_accident⠀⇛


                      # ⚓ Deutsche Welle ☛ US:_Trump_signs_law_paving_way_for
                        dollar-based_stablecoins⠀⇛


                             The industry donated more than $245 million
                             (€210 million) in last year's elections to
                             boost pro-[cryptocurrency] candidates such as
                             Trump.


                      # ⚓ Henrique Dias ☛ Tracking_Train_Rides_With_Viaduct⠀⇛


                             I have recently discovered viaduct, a web app
                             where I can track my train trips. And the
                             best part is: it integrates with the train
                             schedules of some countries. I’m not exactly
                             sure which, but all countries in Europe I
                             tried to add, I had a schedule for.


                      # ⚓ Futurism ☛ Cybertruck_Sales_Are_Dead_in_the_Water⠀⇛


                             In numbers, the Elon Musk-owned automaker
                             sold just 4,306 Cybertrucks in the second
                             quarter of 2025, according to the latest data
                             from Cox Automotive's Kelley Blue Book — a
                             stunning 50.8 percent nosedive from the same
                             period last year.


                      # ⚓ Atlantic Council ☛ Four_questions_(and_expert
                        answers)_on_the_new_US_cryptocurrency_legislation⠀⇛


                             These three bills aim to provide regulatory
                             clarity for the cryptocurrency industry,
                             which has long been operating in a gray area,
                             with unclear agency oversight and undefined
                             consumer protection and compliance
                             requirements. With these three bills, the
                             Trump administration and Congress aim to fill
                             these regulatory gaps and propel a broader
                             agenda for innovation and US competitiveness
                             in digital assets.


                      # ⚓ Futurism ☛ In_Court_for_Fatal_Crash,_Tesla_Admits_It
                        Wasn't_Even_Tracking_Autopilot_Crashes_for_the_First
                        Three_Years_of_the_Program⠀⇛


                             In a taped deposition shown to jurors in the
                             federal case against Tesla, which stems from
                             a wrongful death lawsuit involving a young
                             woman who was killed by a distracted driver
                             who'd been using Autopilot, software engineer
                             Akshay Phatak admitted that keeping such
                             records was not part of the company's early
                             compliance practices.


                      # ⚓ Atlantic Council ☛ The_Emerging_Challenges_of_AI
                        Energy_Growth⠀⇛


                             AI growth, the advent of “hyperscalers”, and
                             plans for new power-hungry data centers
                             dotting the country from coast to coast have
                             overturned previous assumptions of a stable
                             US energy demand growth outlook. One state in
                             particular is at the epicenter of America’s
                             AI revolution: In 2024 alone, Virginia
                             connected fifteen new data centers and
                             anticipates adding another fifteen by the end
                             of 2025. These are not isolated occurrences:
                             already an established hub for US data
                             centers, a recent WoodMackenzie report showed
                             that Virginia lags only Texas as the top
                             destination for newly announced data centers
                             since January 2023 (boasting over 23,000 MW
                             of capacity in the pipeline). Much of this
                             development has been driven by Northern
                             Virginia’s long-standing “Data Center Alley”
                             concentrated around Washington, DC.
                             Meanwhile, the state’s primary utility
                             company, Dominion Energy, has suggested that
                             the average Virginia ratepayer could see
                             their power bills increase by 50 percent over
                             the next fifteen years driven largely by
                             power-hungry new data centers coming online.


          o § Finance⠀➾


                # ⚓ Deutsche Welle ☛ 2025-07-11_[Older]_UK_GDP_unexpectedly
                  falls_for_second_month_in_a_row⠀⇛


          o § AstroTurf/Lobbying/Politics⠀➾


                # ⚓ India Times ☛ Microsoft_likely_to_sign_EU_AI_code_of
                  practice,_Meta_rebuffs_guidelines⠀⇛


                       Microsoft is likely to sign the EU’s voluntary AI
                       code of practice, supporting compliance with the
                       bloc’s new AI rules, while Meta has rejected it,
                       citing legal uncertainties and overreach. The code
                       requires transparency on training data and
                       adherence to copyright law, and forms part of the
                       EU's AI Act.


                # ⚓ The Register UK ☛ Laid_off_AWS_employee_describes_cuts_as
                  'cold_and_soulless'⠀⇛


                       Regardless of who was cut, we're told AWS gave
                       workers no warning. A former employee described the
                       process as "cold and soulless" as it involved just
                       an unheralded email announcing their position had
                       been eliminated.


                       "From what we can tell, decisions were based
                       largely on titles and high-level optics rather than
                       a nuanced understanding of roles, skills, or actual
                       overlap in responsibilities," the employee claimed.


                # ⚓ [Old] Epstein Becker & Green, PC ☛ Microsoft_to
                  Eliminate_Noncompetes_for_Most_Employees_-_a_Harbinger_of
                  Things_to_Come?⠀⇛


                       This is certainly an interesting decision, and it
                       raises the question of why now?


                       As readers of this blog will know, Washington State
                       enacted a new noncompete law effective January 1,
                       2020, that, among other things, rendered
                       unenforceable noncompetes signed by employees
                       earning less than $100,000 and independent
                       contractors earning less than $250,000 annually. On
                       January 1, 2022, those income floors were raised to
                       $107,301.04 and $268,252.59, respectively. That
                       said, according to internal Microsoft documents the
                       average salary of a software engineer at Microsoft
                       is around $185,000, with employees in the highest-
                       earning band making as much as $500,000. Even entry
                       level engineers at Microsoft earn around $132,000
                       according to the Microsoft documents. According to
                       Glassdoor, the average salary for a software
                       engineer at Microsoft is slightly lower, closer to
                       $150,000, but that is still above the minimums set
                       forth in the Washington law. As such, that law and
                       its increasing income floors may have had an impact
                       on Microsoft’s decision.


                # ⚓ Nikola Kotur ☛ On_new_opportunities_—_Journal_from_Kotnik⠀⇛


                       Google is not a cool company it used to be. I know
                       people that have quit their job 10 years ago to
                       take a stab at getting hired at Google, and it used
                       to be sign of exceptional engineering to be there,
                       but that's not the case anymore. You see, software
                       code is not main thing companies are built around.
                       Not even close. The main thing are the people, the
                       knowledge they share and the culture they build.
                       And I think that nowdays people at Google just
                       don't care. I really can't blame them.


                # ⚓ The Register UK ☛ Meta_declines_to_abide_by_voluntary_EU_AI
                  safety_guidelines⠀⇛


                       The General-Purpose AI (GPAI) Code of Practice
                       focuses on general-purpose AI models trained with
                       computing resources that exceed 10^23 FLOPs –
                       almost any recently trained large‐scale model. It
                       asks for voluntary transparency and copyright
                       commitments from those offering such models, as
                       well as extra safety and security commitments from
                       those distributing models that present systemic
                       risk – "general-purpose AI models that were trained
                       using a total computing power of more than 10^25
                       FLOPs."


          o § Censorship/Free Speech⠀➾


                # ⚓ US News And World Report ☛ 2025-07-11_[Older]_Pakistan
                  Court_Suspends_Order_Seeking_YouTube_Ban_on_Government
                  Critics⠀⇛


                # ⚓ RFERL ☛ Central_Asia’s_Evolving_Censorship:_From_Physical
                  Threats_To_Algorithmic_Purges⠀⇛


                       These incidents highlight a growing tactic in
                       Kazakhstan’s digital crackdown targeting
                       influential voices of dissent using technical
                       removals and opaque copyright claims, rather than
                       overt censorship.


                       It's part of a broader trend across Central Asia,
                       where freedom of expression continues to erode
                       under government pressure.


                # ⚓ Hong Kong Free Press ☛ Exclusive:_HK_indy_bookshops,
                  publishers_face_simultaneous_tax_probes⠀⇛


                       The pro-democracy politician-turned-entrepreneur
                       has been running Hunter Bookstore, an independent
                       bookshop in Sham Shui Po, since 2022. About two
                       years later, in early 2024, the Inland Revenue
                       Department (IRD) began investigating her company’s
                       taxes.


                       In addition to the company’s financial reports,
                       Wong had to submit monthly statements of her
                       personal bank accounts to the IRD. Later, she had
                       to report dozens of personal transactions dating
                       back several years before the company was founded.


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


                # ⚓ CPJ ☛ 2025-07-15_[Older]_CPJ,_partners:_Tunisian
                  authorities_must_release_Sonia_Dahmani,_end_misuse_of
                  cybercrime_Decree-Law_54⠀⇛


                # ⚓ The Dissenter ☛ Minnesota_Supreme_Court_Rules_Against_DAPL
                  Company's_Anti-Press_Subpoenas⠀⇛


                # ⚓ RFERL ☛ US_District_Court_Orders_USAGM_to_Pay_RFE/RL_for
                  Rest_of_Fiscal_Year⠀⇛


                       “As far as this Court is aware, it is unprecedented
                       for an agency to demand that entirely new terms
                       govern its decades-old working relationship with a
                       grantee entity and then stop responding,
                       particularly when the agency is statutorily
                       obligated to grant yearly congressional
                       appropriations to that specific entity by name,” he
                       wrote.


                       The threat to the broadcaster’s funding has sparked
                       a wave of global support from media watchdogs,
                       analysts, and democracy advocates, as well as the
                       audiences in the 27 languages and 23 countries in
                       which RFE/RL broadcasts.


                # ⚓ [Repeat] BIA Net ☛ bianet_receives_fake_court_orders
                  demanding_removal_of_news_articles⠀⇛


                       Both fake orders, sent via email on June 19 and
                       July 4, appear to show separate rulings by two
                       different judges based on a complaint filed by
                       Nationalist Movement Party (MHP) MP Ahmet Gündüz.


                       Neither ruling has a record in Turkey’s official
                       judicial database. The verification code listed on
                       the document does not correspond to any entry in
                       the National Judiciary Informatics System (UYAP).


                # ⚓ TruthOut ☛ Trump_Sues_Wall_Street_Journal_Over_Epstein
                  Report⠀⇛


                       On Friday, the president — a well-documented liar —
                       sued the Journal in a federal court in Miami,
                       Florida for assault, libel, and slander, according
                       to CNN. In addition to the newspaper and its parent
                       company News Corp, Politico reported, “the suit
                       names WSJ reporters Khadeeja Safdar and Joe
                       Palazzolo. It also names Rupert Murdoch.”


                # ⚓ TMZ ☛ President_Trump_Sues_WSJ,_News_Corp_for_$10_Billion
                  Over_Alleged_Epstein_Letter⠀⇛


                       In the suit, Trump says the story was published "at
                       the direction of" Rupert Murdoch and News Corp. CEO
                       Robert Thomson ... who are both named as
                       defendants, as well as the 2 WSJ reporters who
                       wrote the story.


                # ⚓ New Yorker ☛ Behind_Trump’s_Jeffrey_Epstein_Problem⠀⇛


                       Trump is vulnerable to the Epstein case, and not
                       only because the two men were photographed partying
                       together, or because Trump praised Epstein in a
                       quote that was widely circulated, or because
                       Epstein had told the reporter Michael Wolff that,
                       for ten years, he had been the President’s “closest
                       friend.” (Trump eventually said that they had had a
                       “falling out.”) On Thursday, the Wall Street
                       Journal reported that, for Epstein’s fiftieth
                       birthday, Trump, among others, sent him a “bawdy”
                       birthday letter, which Trump denied, saying that he
                       would sue the Journal, “just like I sued everyone
                       else.” Liberals, taking all this in, might suspect
                       that it’s a simple comeuppance for Trump’s
                       political choices: if you build a following on the
                       internet fringe, you can become beholden to its
                       obsessions. But the uproar also has to do with the
                       ways in which the Trump movement has evolved.


                # ⚓ JURIST ☛ Trump_threatens_Wall_Street_Journal_lawsuit_amid
                  Epstein_transparency_controversy⠀⇛


                       Asked about the case during his presidential
                       campaign in 2024, Trump indicated that if
                       reelected, he would release the Epstein files.
                       Shortly after Trump’s reelection, the US Justice
                       Department quoted Attorney General Pamela Bondi as
                       having said: “This Department of Justice is
                       following through on President Trump’s commitment
                       to transparency and lifting the veil on the
                       disgusting actions of Jeffrey Epstein and his co-
                       conspirators.”


                # ⚓ Matt Birchler ☛ I_may_have_gotten_this_one_wrong⠀⇛


                       Maybe it is all CBS said it is, and it's weird they
                       would give him 10 more months on the air if they
                       were just trying to get him out for any recent
                       comments, but it absolutely doesn't look good for
                       CBS here. It sure looks like it's because he's a
                       massively well-known personality who openly mocks
                       Trump every night on national TV and his parent
                       company wants to appease the President, who they
                       need to bless the merger they want to get done this
                       year. Maybe that's not it, but if it was, this is
                       exactly what it would look like.


                # ⚓ The Guardian UK ☛ Cancelling_Colbert,_bribery,_an_$8bn
                  deal:_what’s_going_on_at_Paramount?⠀⇛


                       There are reasonable grounds for suspicion. Earlier
                       this month CBS’s owner, Paramount Global, reached a
                       $16m settlement with Trump over an interview on its
                       current affairs strand 60 Minutes, removing a
                       potential obstacle to the company’s $8bn sale to
                       the Hollywood studio Skydance Media.


                       If the mega-merger goes ahead, a friend and ally of
                       the US president, the billionaire Larry Ellison,
                       could wield huge influence over the CBS news
                       division as well as programmes ranging from South
                       Park to Star Trek. The Late Show is sure to be seen
                       by some as an example of obeying in advance.


          o § Civil Rights/Policing⠀➾


                # ⚓ Jacobin Magazine ☛ 2025-07-11_[Older]_Kenyan_Women’s_Gulf
                  Jobs_Begin_With_Hope_and_End_in_Horror [Ed: Slaves of Saudi
                  Barbaria]⠀⇛


                # ⚓ Vanity Fair ☛ “Even_God_Cannot_Hear_Us_Here”:_What_I
                  Witnessed_Inside_an_ICE_Women’s_Prison⠀⇛


                       It wasn’t until late afternoon on March 26 that we
                       arrived at a “detention center,” roughly 24 hours
                       since I had been grabbed off the street. While
                       waiting to be processed alongside dozens of other
                       women in a stark white cell, I felt utterly
                       exhausted, lying on the hard floor from time to
                       time. As someone who learned English later in life,
                       the lines between prison and detention centers
                       blurred in my mind. I had a lot of questions: Who
                       are the people staying here? How many are there?
                       What are the living conditions like? What kinds of
                       offenses have brought them here? How long have they
                       been here?


                # ⚓ New Left Review Ltd ☛ Caitlín_Doherty,_Everything_Else_—
                  Sidecar⠀⇛


                       I went to Dubai wrongheaded. I learnt nothing and
                       left nauseated. I had thought it would be fun –
                       funny, even – to experience the disorientation of
                       standing at the pivot point between two world
                       systems. Instead, it was merely disorientating –
                       sickeningly so. There are hells on earth and Dubai
                       is one: an infernal creation born of the worst of
                       human tendencies. Its hellishness cannot be laid
                       solely at the feet of the oligarchs, whose wealth
                       it attracts, nor the violent organised criminals
                       who relocate there to avoid prosecution. It is
                       hellish because, as the self-appointed showtown of
                       free trade, it provides normal people with the
                       chance to buy the purest form of the most heinous
                       commodity: the exploitation of others. If you want
                       to know how it feels to have slaves, in the modern
                       world – and not be blamed openly for this desire –
                       visit Dubai. But know that you will not be
                       blameless for doing so. Every Instagram post, every
                       TikTok video, every gloating WhatsApp message sent
                       from its luxury is an abomination. A PR campaign
                       run by those who have already bought the product,
                       and now want only to show you that they can afford
                       it.


                # ⚓ CoryDoctorow ☛ Pluralistic:_Conspiratorialism_and
                  neoliberalism⠀⇛


                       It's also an extremely convenient political
                       philosophy if you are getting rich by stealing from
                       people, or even murdering them. If you offer me a
                       payday loan with a ten heptillion percent APR and I
                       accept it, that's voluntary, it's the market, and
                       there's absolutely no reason for anyone to pass
                       comment on the fact that 100% of the people who
                       take those loans are poor and 100% of the people
                       who originate them are rich: [...]


          o § Digital Restrictions (DRM)⠀➾


                # ⚓ LWN ☛ Linux_and_Secure_Boot_certificate_expiration⠀⇛


                       Linux users who have Secure Boot enabled on their
                       systems knowingly or unknowingly rely on a key from
                       Microsoft that is set to expire in September. After
                       that point, Microsoft will no longer use that key
                       to sign the shim first-stage UEFI bootloader that
                       is used by Linux distributions to boot the kernel
                       with Secure Boot. But the replacement key, which
                       has been available since 2023, may not be installed
                       on many systems; worse yet, it may require the
                       hardware vendor to issue an update for the system
                       firmware, which may or may not happen. It seems
                       that the vast majority of systems will not be lost
                       in the shuffle, but it may require extra work from
                       distributors and users.


                       [...]


                       For systems where the vendor provides no updates,
                       disabling Secure Boot may be the only option to
                       allow a new install. In a few short months, all
                       existing installation images and media will not be
                       installable with Secure Boot—that may already be
                       true for systems that only have the new key. Secure
                       Boot installation just got that much more
                       complicated.


      § Monopolies/Monopsonies⠀➾


          o ⚓ The Register UK ☛ EU_cloud_gang_wins_licensing_concessions_from
            Microsoft⠀⇛


                 Cloud Infrastructure Services Providers in Europe (CISPE)
                 said the agreement meant that members could offer
                 Microsoft software to their customers on a pay-as-you-go
                 basis via Microsoft's Cloud Solution Program (CSP-H),
                 allowing stronger privacy for customers of European cloud
                 providers.


                 However, the agreement has failed to remove the technical
                 tie-in between Entra ID (formerly Azure Active Directory)
                 and Microsoft 365, restricting users in their choice of
                 ID management when deploying Microsoft software in the
                 cloud.


          o § Copyrights⠀➾


                # ⚓ CBC ☛ Ottawa_weighs_plans_on_AI,_copyright_as_OpenAI_fights
                  Ontario_court_jurisdiction⠀⇛


                       OpenAI also argued the Copyright Act doesn't apply
                       outside of Canada.


                       OpenAI is asking the court to seal some documents
                       in the case. The court is scheduled to hold a
                       hearing on the sealing motion on July 30, according
                       to a schedule outlined in court documents.


                       It asked the court to seal documents containing
                       "commercially sensitive" information, including
                       about its corporate organization and structure, its
                       web crawling and fetching processes and systems,
                       and its "model training and inference processes,
                       systems, resource allocations and/or cost
                       structures."


                # ⚓ The Washington Post ☛ Book_authors_asked_Congress_for_help
                  in_their_fight_against_AI⠀⇛


                       Baldacci is among a group of authors suing OpenAI
                       and Microsoft over the companies’ use of their work
                       to train the AI software behind tools such as
                       ChatGPT and Copilot without permission or payment —
                       one of more than 40 lawsuits against AI companies
                       advancing through the nation’s courts. He and other
                       authors this week appealed to Congress for help
                       standing up to what they see as an assault by Big
                       Tech on their profession and the soul of
                       literature.


                # ⚓ EFF ☛ California_A.B._412_Stalls_Out—A_Win_for_Innovation
                  and_Fair_Use⠀⇛


                       EFF opposed this bill from the start. A.B. 412
                       tried to regulate generative AI, not by looking at
                       the public interest, but by mandating training data
                       “reading lists” designed to pave the way for new
                       copyright lawsuits, many of which are filed by
                       large content companies.


                       Transparency in AI development is a laudable goal.
                       But A.B. 412 failed to offer a fair or effective
                       path to get there. Instead, it gave companies large
                       and small the impossible task of differentiating
                       between what content was copyrighted and what
                       wasn’t—with severe penalties for anyone who
                       couldn’t meet that regulation. That would have
                       protected the largest AI companies, but frozen out
                       smaller and non-commercial developers who might
                       want to tweak or fine-tune AI systems for the
                       public good.


                # ⚓ EFF ☛ EFF_to_Court:_The_DMCA_Didn't_Create_a_New_Right_of
                  Attribution,_You_Shouldn't_Either⠀⇛


                       Amid a wave of lawsuits targeting how AI companies
                       use copyrighted works to train large language
                       models that generate new works, a peculiar
                       provision of copyright law is suddenly in the
                       spotlight: Section 1202 of the Digital Millennium
                       Copyright Act (DMCA). Section 1202 restricts
                       intentionally removing or changing copyright
                       management information (CMI), such as a signature
                       on a painting or attached to a photograph. Passed
                       in 1998, the rule was supposed to help
                       rightsholders identify potentially infringing uses
                       of their works and encourage licensing.


    * Taking_Stock_of_a_Good_and_Productive_Week
    * Slopwatch:_Planet_Ubuntu,_LinuxSecurity,_and_More



                    ䷩ 𝚕𝚒𝚗𝚎 6379

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Links 20/07/2025: Security Breaches and
Former 'Open' 'AI' Engineer on Hype and Culture
Issues⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jul 20, 2025


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


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * Leftovers
          o Career/Education
          o Health/Nutrition/Agriculture
          o Proprietary
          o Privatisation/Privateering
          o Security
                # Integrity/Availability/Authenticity
                # Privacy/Surveillance
                # Confidentiality
          o Defence/Aggression
          o Environment
                # Energy/Transportation
                # Wildlife/Nature
                # Overpopulation
          o Finance
          o AstroTurf/Lobbying/Politics
          o Censorship/Free_Speech
          o Civil_Rights/Policing
          o Internet_Policy/Net_Neutrality
          o Monopolies/Monopsonies
                # Patents
                # Gemini*_and_Gopher
                      # Personal/Opinions
    * § Leftovers⠀➾


          o § Career/Education⠀➾


                # ⚓ CBC ☛ 2025-07-09_[Older]_Most_of_Nova_Scotia's_universities
                  are_in_the_red._Here's_why,_and_what's_next⠀⇛


                # ⚓ Deutsche Welle ☛ 2025-07-14_[Older]_Can_classroom_'brain
                  training'_really_boost_kids'_learning?⠀⇛


          o § Health/Nutrition/Agriculture⠀➾


                # ⚓ CBC ☛ 2025-07-16_[Older]_Alberta_wastewater_unlocked_key
                  information_about_COVID-19._Could_it_help_with_measles_too?⠀⇛


                # ⚓ CBC ☛ 2025-07-16_[Older]_Manitoba_woman_files_proposed
                  class_action_against_Loblaw_over_alleged_underweighted_meat
                  sales⠀⇛


                # ⚓ CBC ☛ 2025-07-16_[Older]_Manitoba_woman_files_proposed
                  class_action_against_Loblaw_over_alleged_underweight_meat
                  sales⠀⇛


                # ⚓ Deutsche Welle ☛ 2025-07-16_[Older]_Germany_sees_uptick_in
                  people_living_alone⠀⇛


                # ⚓ Deutsche Welle ☛ 2025-07-15_[Older]_What_are_forever
                  chemicals_and_why_do_they_matter?⠀⇛


          o § Proprietary⠀➾


                # ⚓ Bleeping Computer ☛ 2025-07-12_[Older]_CISA_tags_Citrix
                  Bleed_2_as_exploited,_gives_agencies_a_day_to_patch⠀⇛


                # ⚓ Switch_Port_Specialist_Virtuos_Confirms_270_Layoffs⠀⇛


                       This news follows Microsoft laying off over 9,000
                       employees earlier this month, including staff under
                       the Xbox division.


                # ⚓ HowTo Geek ☛ I_Install_These_Homebrew_Apps_on_Every_Mac⠀⇛


                       Apple includes a bundle of useful software with
                       every Mac, but this barely scratches the surface of
                       what’s possible with free third-party apps. While
                       installing apps is simple—either by dragging the
                       APP file into your Applications folder or running a
                       simple package installer—Mac package manager
                       Homebrew makes it easier and faster.


                       There are more apps available via Homebrew than you
                       probably think, and the utility makes for a
                       bustling hive of free and open-source software.
                       Here are my favorites, and the one-line commands
                       you can use to install them.


                # § Artificial Intelligence (AI) / LLM Slop / Plagiarism⠀➾


                      # ⚓ TechStory Media ☛ Former_OpenAI_Engineer_Speaks_Out
                        on_Company_Culture⠀⇛


                             “I wanted to give my take because there is so
                             much hype and bluster about what OpenAI is
                             doing, and very little ground-level
                             information about what the culture of being
                             there actually is like,” French-Owen posted
                             on his blog.


                # § Windows TCO / Windows Bot Nets⠀➾


                      # ⚓ 2025-07-16_[Older]_70%_of_healthcare_cyberattacks
                        result_in_delayed_patient_care,_report_finds⠀⇛


          o § Privatisation/Privateering⠀➾


                # ⚓ Jacobin Magazine ☛ 2025-07-11_[Older]_Mark_Carney_Is
                  Hacking_Away_at_Canada’s_Public_Sector⠀⇛


          o § Security⠀➾


                # ⚓ CNN ☛ 2025-07-12_[Older]_Chinese_hackers_suspected_in
                  breach_of_powerful_DC_law_firm⠀⇛


                # ⚓ 2025-07-13_[Older]_Stormous_claims_to_have_protected_health
                  info_on_600,000_patients_of_North_Country_Healthcare._The
                  data_appear_fake._(1)⠀⇛


                # ⚓ 2025-07-13_[Older]_Multiple_lawsuits_filed_against_Doyon
                  Ltd_over_April_2024_data_breach_and_late_notification⠀⇛


                # ⚓ 2025-07-14_[Older]_Ransomware_in_Italy,_strike_at_the
                  Diskstation_gang:_hacker_group_leader_arrested_in_Milan⠀⇛


                # ⚓ Bleeping Computer ☛ 2025-07-16_[Older]_Police_disrupt
                  “Diskstation”_ransomware_gang_attacking_NAS_devices⠀⇛


                # ⚓ Columbus Ohio ☛ A_year_after_cyber_attack,_Columbus_could
                  invest_$23M_in_cybersecurity_upgrades⠀⇛


                       Days before the one-year anniversary of the
                       cyberattack that temporarily crippled Columbus'
                       computer systems and resulted in the leak of stolen
                       city data on the dark web, the city is considering
                       investing $23 million to strengthen its
                       cybersecurity.


                       The Columbus Department of Technology is asking the
                       Columbus City Council at its meeting tonight, July
                       14, to approve the spending on implementing a "zero
                       trust network."


                # ⚓ 2025-07-11_[Older]_Qilin_claims_attack_on_Accu_Reference
                  Medical_Laboratory._It_wasn’t_the_lab’s_first_data_breach.⠀⇛


                # § Integrity/Availability/Authenticity⠀➾


                      # ⚓ CBC ☛ 2025-07-14_[Older]_Dozens_more_alleged_victims
                        come_forward_as_Ontario_man_accused_in_real_estate
                        fraud_faces_new_charges⠀⇛


                      # ⚓ Bloomberg ☛ 2025-07-15_[Older]_Mississippi_Law_Firm
                        Sues_Cyber_Insurer_Over_Coverage_for_Scam⠀⇛


                # § Privacy/Surveillance⠀➾


                      # ⚓ TruthOut ☛ 2025-07-15_[Older]_Cheeto_Mussolini_Plans
                        to_Hand_Taxpayer_Data_to_Homeland_Security_to_Speed_Up
                        Deportations⠀⇛


                      # ⚓ EFF ☛ 2025-07-16_[Older]_Podcast_Episode:_Finding_the
                        Joy_in_Digital_Security⠀⇛


                      # ⚓ US News And World Report ☛ 2025-07-16_[Older]_Meta
                        CEO_Mark_Zuckerberg_Expected_to_Testify_in_$8_Billion
                        Facebook_Privacy_Lawsuit⠀⇛


                      # ⚓ US News And World Report ☛ 2025-07-16_[Older]
                        Facebook_Privacy_Practices_the_Focus_of_$8_Billion
                        Trial_Targeting_Zuckerberg⠀⇛


                      # ⚓ Yahoo News ☛ Russian_officials_ordered_to_use_spy-
                        linked_Max_messaging_app_by_September⠀⇛


                             Russian officials are being ordered to switch
                             to a messaging app controlled by the secret
                             services of the Russian Federation, according
                             to intelligence reports. Kremlin leader
                             Vladimir Putin has instructed the Russian
                             government to develop measures to restrict
                             the use of foreign software, including
                             messaging apps from "unfriendly countries" by
                             1 September.


                # § Confidentiality⠀➾


                      # ⚓ TechCrunch ☛ 2025-07-16_[Older]_Meta_fixes_bug_that
                        could_leak_users’_AI_prompts_and_generated_content⠀⇛


                      # ⚓ 2025-07-13_[Older]_Back_from_the_Brink:_District
                        Court_Clears_Air_Regarding_Individualized_Damages
                        Assessment_in_Data_Breach_Cases⠀⇛


                      # ⚓ 2025-07-11_[Older]_McDonald’s_McHire_leak_involving
                        ‘123456’_admin_password_exposes_64_million_applicant
                        chat_records⠀⇛


                      # ⚓ 2025-07-11_[Older]_Louis_Vuitton_hit_by_data_breach
                        in_Türkiye,_over_140,000_users_exposed;UK_customers
                        also_affected_(1)⠀⇛


                      # ⚓ 2025-07-11_[Older]_German_court_offers_EUR_5000
                        compensation_for_data_breaches_caused_by_Meta⠀⇛


                      # ⚓ USDOJ ☛ 2025-07-11_[Older]_Air_Force_Employee_Pleads
                        Guilty_to_Conspiracy_to_Disclose_Unlawfully_Classified
                        National_Defense_Information⠀⇛


                      # ⚓ 2025-07-11_[Older]_Infosys_McCamish_Systems_Enters
                        Consent_Order_with_Vermont_DFR_Over_Cyber_Incident⠀⇛


                      # ⚓ 2025-07-11_[Older]_Obligations_under_Canada’s_data
                        breach_notification_law⠀⇛


          o § Defence/Aggression⠀➾


                # ⚓ 2025-07-15_[Older]_Ministry_of_Defence_data_breach
                  timeline⠀⇛


                # ⚓ 2025-07-15_[Older]_Computer_Whiz_Gets_Suspended_Sentence
                  over_2019_Revenue_Agency_Data_Breach⠀⇛


                # ⚓ CBC ☛ 2025-07-14_[Older]_Mountie_facing_criminal
                  investigation_for_allegedly_making_threatening_comments_at
                  G7⠀⇛


                # ⚓ The Age AU ☛ 2025-07-14_[Older]_Albanese_walks_trade-
                  security_tightrope_before_Xi_meeting⠀⇛


                # ⚓ US News And World Report ☛ 2025-07-14_[Older]_US_Must_Do
                  Its_Part_on_Security,_Mexican_President_Says_After_Tariff
                  Threat⠀⇛


                # ⚓ US News And World Report ☛ 2025-07-14_[Older]_US_Opens
                  National_Security_Probes_Into_Imported_Drones,_Polysilicon⠀⇛


                # ⚓ US News And World Report ☛ 2025-07-14_[Older]_With
                  Temporary_Protections_for_Some_Afghans_Set_to_Expire,_Appeals
                  Court_Steps_In⠀⇛


                # ⚓ US News And World Report ☛ 2025-07-13_[Older]_Australia_and
                  China:_Trade_Flows_and_Security_Tensions_Shape_Ties⠀⇛


                # ⚓ US News And World Report ☛ 2025-07-12_[Older]_Homeland
                  Security's_Noem_Says_in_Talks_With_Five_Republican-Led_States
                  to_Build_Detention_Site⠀⇛


                # ⚓ US News And World Report ☛ 2025-07-11_[Older]_Costa_Rica
                  Ex-Security_Minister_Charged_in_US_With_Cocaine_Smuggling
                  Conspiracy⠀⇛


                # ⚓ US News And World Report ☛ 2025-07-11_[Older]_Security,
                  Trade_in_Focus_as_Australia_PM_Albanese_Heads_to_China⠀⇛


                # ⚓ US News And World Report ☛ 2025-07-16_[Older]_In_African
                  Politics,_the_Rampant_Belief_in_Witchcraft_Fortifies_Some_and
                  Vexes_Others⠀⇛


                # ⚓ US News And World Report ☛ 2025-07-16_[Older]_US_Deports
                  Migrants_From_Jamaica,_Cuba,_and_Other_Countries_to_the_Small
                  African_Kingdom_of_Eswatini⠀⇛


                # ⚓ Counter Punch ☛ 2025-07-15_[Older]_Real_and_Fake_Antidotes
                  to_Cheeto_Mussolini’s_Latest_Tariffs,_Seen_From_South
                  Africa⠀⇛


                # ⚓ Deutsche Welle ☛ 2025-07-13_[Older]_South_Africa's
                  Ramaphosa_suspends_police_minister,_launches_Inquiry⠀⇛


                # ⚓ US News And World Report ☛ 2025-07-13_[Older]_South
                  Africa's_Ramaphosa_Removes_Police_Minister_Over_Criminal_Link
                  Allegations⠀⇛


                # ⚓ US News And World Report ☛ 2025-07-11_[Older]_Greece_Passes
                  North_Africa_Asylum_Ban_Amid_Rights_Groups'_Opposition⠀⇛


                # ⚓ Deutsche Welle ☛ 2025-07-16_[Older]_Is_Greece_in_the_middle
                  of_a_new_refugee_crisis?⠀⇛


                # ⚓ Deutsche Welle ☛ 2025-07-16_[Older]_A_look_at_Eritrea's
                  role_as_new_Tigray_war_looms_in_Ethiopia⠀⇛


                # ⚓ Deutsche Welle ☛ 2025-07-16_[Older]_Drone_strikes_hit_three
                  oil_fields_in_Iraqi_Kurdistan⠀⇛


                # ⚓ Deutsche Welle ☛ 2025-07-16_[Older]_Holocaust_survivor
                  Anita_Lasker-Wallfisch_turns_100⠀⇛


                # ⚓ Deutsche Welle ☛ 2025-07-16_[Older]_Iran_seizes_foreign
                  tanker_on_fuel_smuggling_allegations⠀⇛


                # ⚓ Deutsche Welle ☛ 2025-07-16_[Older]_Japan_decries_China
                  threat_after_string_of_risky_encounters⠀⇛


                # ⚓ Deutsche Welle ☛ 2025-07-14_[Older]_Can_debt-laden_NATO
                  members_spend_billions_more_on_defense?⠀⇛


                # ⚓ Deutsche Welle ☛ 2025-07-14_[Older]_Can_Cheeto_Mussolini
                  revoke_Rosie_O'Donnell's_US_citizenship?⠀⇛


                # ⚓ Deutsche Welle ☛ 2025-07-12_[Older]_For_France's_surging
                  far_right,_US_ties_demand_careful_balancing_act⠀⇛


                # ⚓ Deutsche Welle ☛ 2025-07-12_[Older]_Germany_debates_quota
                  for_immigrant_students⠀⇛


                # ⚓ Deutsche Welle ☛ 2025-07-13_[Older]_Spain:_5_hurt_in_anti-
                  migrant_violence_blamed_on_far_right⠀⇛


          o § Environment⠀➾


                # ⚓ US News And World Report ☛ 2025-07-16_[Older]_How_Climate
                  Change_Could_Force_FIFA_to_Rethink_the_World_Cup_Calendar⠀⇛


                # ⚓ New Yorker ☛ 2025-07-15_[Older]_Chased_by_Climate_Disaster
                  in_North_Carolina⠀⇛


                # ⚓ Green Party UK ☛ 2025-07-14_[Older]_Co-leader_calls_for
                  climate_resilience_to_be_put_on_a_statutory_footing⠀⇛


                # ⚓ TruthOut ☛ 2025-07-14_[Older]_1,500_Deaths_in_Europe’s_Heat
                  Wave_Were_Due_to_Climate_Crisis,_Study_Shows⠀⇛


                # ⚓ TruthOut ☛ 2025-07-14_[Older]_Climate_Erasure_Replaces
                  Climate_Denial_Under_Cheeto_Mussolini_Administration⠀⇛


                # ⚓ Counter Punch ☛ 2025-07-14_[Older]_No,_Mr._President,
                  Climate_Change_is_Not_a_Hoax⠀⇛


                # ⚓ US News And World Report ☛ 2025-07-14_[Older]_Cheeto
                  Mussolini_Administration_Says_It_Won't_Publish_Major_Climate
                  Change_Reports_on_NASA_Website_as_Promised⠀⇛


                # ⚓ Vox ☛ 2025-07-14_[Older]_Why_it’s_taking_LA_so_long_to
                  rebuild⠀⇛


                # ⚓ New Yorker ☛ 2025-07-12_[Older]_Flash_Floods_and_Climate
                  Policy⠀⇛


                # ⚓ Bridge Michigan ☛ 2025-07-11_[Older]_Future_of_climate
                  ‘resilience_hubs’_uncertain_after_Cheeto_Mussolini_cuts⠀⇛


                # ⚓ Counter Punch ☛ 2025-07-11_[Older]_Al_Gore_Puts_Down
                  ‘Climate_Realism’⠀⇛


                # ⚓ Counter Punch ☛ 2025-07-11_[Older]_Politicians_Are
                  Betraying_Gen_Z_on_Climate⠀⇛


                # ⚓ The Local DK ☛ 2025-07-09_[Older]_Climate_change_made
                  recent_European_heatwave_'up_to_4C_hotter'⠀⇛


                # ⚓ CBC ☛ 2025-07-12_[Older]_'As_a_farmer,_it's_depressing':
                  Southwest_Sask._sees_less_than_25%_of_normal_rainfall_in
                  June⠀⇛


                # ⚓ Deutsche Welle ☛ 2025-07-13_[Older]_Spain:_Two_missing_as
                  heavy_rains_hit_Catalonia⠀⇛


                # § Energy/Transportation⠀➾


                      # ⚓ Deutsche Welle ☛ 2025-07-14_[Older]_What_is_Liquified
                        Natural_Gas?⠀⇛


                      # ⚓ Deutsche Welle ☛ 2025-07-15_[Older]_Germany_updates:
                        Germans_driving_cars_more_—_report⠀⇛


                      # ⚓ CBC ☛ 2025-07-16_[Older]_Porter_Airlines_flight_to
                        Vancouver_makes_emergency_landing_in_Regina_over_smell
                        of_smoke_in_cabin⠀⇛


                      # ⚓ Deutsche Welle ☛ 2025-07-16_[Older]_What's_holding_up
                        Germany's_power_grid_renewal?⠀⇛


                      # ⚓ Deutsche Welle ☛ 2025-07-14_[Older]_Will_nuclear
                        powers_help_keep_nukes_out_of_Southeast_Asia?⠀⇛


                      # ⚓ Deutsche Welle ☛ 2025-07-11_[Older]_Air_India_crash
                        linked_to_sudden_fuel_switch_shutdown⠀⇛


                      # ⚓ US News And World Report ☛ 2025-07-16_[Older]_A_Look
                        Inside_a_Lab_Making_the_Advanced_Fuel_to_Power_Growing
                        US_Nuclear_Energy_Ambitions⠀⇛


                      # ⚓ Counter Punch ☛ 2025-07-15_[Older]_Cheeto_Mussolini
                        Sabotages_Clean_Energy_as_Power_Demand_and_Outages
                        Increase⠀⇛


                      # ⚓ US News And World Report ☛ 2025-07-14_[Older]_India
                        Wants_Air_Conditioners_to_Be_Made_With_Milder
                        Temperature_Settings_to_Save_Energy⠀⇛


                      # ⚓ Deutsche Welle ☛ 2025-07-16_[Older]_UK_lifts_five-
                        year_ban_on_Pakistani_airlines⠀⇛


                      # ⚓ Deutsche Welle ☛ 2025-07-16_[Older]_Oldest_marathon
                        runner,_Fauja_Singh,_dies_in_hit-and-run⠀⇛


                # § Wildlife/Nature⠀➾


                      # ⚓ CBC ☛ 2025-07-10_[Older]_Wildfire_enters_Sask.
                        village_as_nearby_hamlet_airlifts_residents_out_after
                        flames_block_only_road⠀⇛


                      # ⚓ Deutsche Welle ☛ 2025-07-12_[Older]_United_States:
                        Wildfires_force_evacuations_from_the_Grand_Canyon⠀⇛


                # § Overpopulation⠀➾


                      # ⚓ ADF ☛ 2025-07-15_[Older]_Indian_Ocean_Nations_Grapple
                        with_Illegal_Chinese_Fishing_Trawlers⠀⇛


                      # ⚓ Truthdig ☛ 2025-07-15_[Older]_Texas_Food_Banks_Are
                        Rationing_Meals_for_Flood_Survivors_Because_of_Cheeto
                        Mussolini’s_Cuts⠀⇛


          o § Finance⠀➾


                # ⚓ Deutsche Welle ☛ 2025-07-14_[Older]_Europe_walks_tightrope
                  amid_intensifying_US-China_rivalry⠀⇛


                # ⚓ Deutsche Welle ☛ 2025-07-16_[Older]_How_Germany_can_better
                  support_young_entrepreneurs⠀⇛


                # ⚓ CBC ☛ 2025-07-11_[Older]_B.C._Labour_Board_certifies_union
                  at_Amazon_facility_in_Delta,_B.C.,_Unifor_says⠀⇛


                # ⚓ Deutsche Welle ☛ 2025-07-11_[Older]_EU_readies_for
                  escalation_as_Cheeto_Mussolini_puts_35%_tariff_on_Canada⠀⇛


                # ⚓ International Business Times ☛ 2025-07-11_[Older]_Cheeto
                  Mussolini_Hits_Canada_With_35%_Tariff,_Then_Dangles_a_Deal_If
                  They_Help_Him_With_'One_Thing'⠀⇛


          o § AstroTurf/Lobbying/Politics⠀➾


                # ⚓ Deutsche Welle ☛ 2025-07-14_[Older]_Germany's
                  Constitutional_Court_becomes_political_football⠀⇛


                # ⚓ Deutsche Welle ☛ 2025-07-11_[Older]_How_Germany_selects_its
                  top_judges⠀⇛


                # ⚓ Deutsche Welle ☛ 2025-07-15_[Older]_Court_rejects_German
                  responsibility_in_Yemen_drone_case⠀⇛


                # ⚓ Deutsche Welle ☛ 2025-07-15_[Older]_US_drone_war:_Berlin
                  not_absolved_of_all_responsibility⠀⇛


                # ⚓ US News And World Report ☛ 2025-07-13_[Older]_Nigeria's_Ex-
                  President_Buhari,_Twice_Leader_of_Africa's_Most_Populous
                  Nation,_Dies_at_82⠀⇛


                # ⚓ US News And World Report ☛ 2025-07-11_[Older]_Nigeria_Says
                  US_Pressuring_Africa_to_Accept_Venezuelan_Deportees⠀⇛


                # ⚓ Deutsche Welle ☛ 2025-07-15_[Older]_Berlin_to_change_racist
                  street_name_after_legal_battle⠀⇛


                # ⚓ Deutsche Welle ☛ 2025-07-11_[Older]_Germany's_business
                  elite_and_the_illusion_of_meritocracy⠀⇛


          o § Censorship/Free Speech⠀➾


                # ⚓ CBC ☛ 2025-07-10_[Older]_Alberta_bans_school_library_books
                  it_deems_sexually_explicit⠀⇛


                # ⚓ US News And World Report ☛ 2025-07-11_[Older]_Romanian
                  Jewish_Representative_Criticises_President_for_Challenging
                  Hate_Speech_Bill⠀⇛


                # ⚓ Scheerpost ☛ 2025-07-12_[Older]_USAID_Leaks:_Censorship_As
                  Regime_Change⠀⇛


                # ⚓ US News And World Report ☛ 2025-07-11_[Older]_Kremlin_Says
                  Wartime_Censorship_Is_Justified⠀⇛


                # ⚓ Project Censored ☛ 2025-07-10_[Older]_The_Militarization
                  and_Weaponization_of_Media_Literacy⠀⇛


                # ⚓ Project Censored ☛ 2025-07-09_[Older]_The_Project_Censored
                  Newsletter—June_2025⠀⇛


                # ⚓ Deutsche Welle ☛ 2025-07-14_[Older]_Music_industry_faces
                  censorship_after_Bob_Vylan_controversy⠀⇛


          o § Civil Rights/Policing⠀➾


                # ⚓ Vox ☛ 2025-07-10_[Older]_America_is_finally_moving_past_its
                  post-9/11_security_theater⠀⇛


          o § Internet Policy/Net Neutrality⠀➾


                # ⚓ CBC ☛ 2025-07-15_[Older]_Rogers_launching_new_satellite-to-
                  mobile_text_messaging_trial⠀⇛


      § Monopolies/Monopsonies⠀➾


          o § Patents⠀➾


                # ⚓ Counter Punch ☛ 2025-07-15_[Older]_Cheap_Drugs_Matter:_Why
                  Make_Them_More_Expensive_With_Patent_Monopolies?⠀⇛


          o § Gemini* and Gopher⠀➾


                # § Personal/Opinions⠀➾


                      # ⚓ wool_and_woodsmoke⠀⇛


                      # ⚓ 5_Questions,_July_2025⠀⇛


                             Christina formulated five new questions [1].


                             Here's my take on them.


                             1. Has a self-help book ever helped you? If
                             yes, would you share the title and author?


                             I like to read books about Stoicism,
                             Epicureanism, the Tao Te Ching and so on. I
                             don't think they are categorized as "self-
                             help", but they have helped me.


                      # ⚓ Meaning⠀⇛


                             I want to talk about the "sign-meaning"
                             construction. Long have been the days when
                             society created this construction. It can
                             also be called "symbol-meaning", "word-
                             meaning", "variable-value"... these are the
                             only synonyms that I am remembering now.


                             I also want to say a little bit about my
                             journey.


                             The first step of this journey, that I am on,
                             is to realize this "sign-meaning"
                             construction exists. And modern society
                             relies heavily on this construct.


                             Then, I have gotten to the conclusion that
                             "meaning" existed (although there was no word
                             for it) before "sign". So "meaning" is more
                             important than "sign".


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


    * Links_20/07/2025:_Fending_Off_BRICS_and_US_Government_Attacks_Its_Own
      Media_(Like_China_and_Russia)
    * Conspiracy_or_grooming?_Alex_Jurado,_Voice_of_Reason_compared_to
      Outreachy



                    ䷩ 𝚕𝚒𝚗𝚎 7106

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ The History of Daily Links and
Politics⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jul 20, 2025


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇The_Lifelong_Activist:_How_to_Change_the_World_Without
Losing_Your_Way⦈_


I can no_longer remember if Daily Links started in 2007 or in 2008, but with a
little bit of time that question can be answered very accurately. See, in the
early years of this site we wanted to add some GNU/Linux-centric news clippings
which we lacked time to properly comment on. At some point later on some non-
tech news got added, albeit filed under a suitably-named section, usually under
"Leftovers".


Politics is the sort of thing that can easily divide_people. That means that if
everyone or almost everyone can agree about some tech issue, making this issue
political would split up the resistance (or - contrariwise - the advocacy).


Imagine people saying something like, "I support Wayland, but I also support
abortion..."


That's the kind of nonsense Microsoft Lunduke strives/aims for.


We try to keep politics separate from the technical issues; just because we
kindly reject or turn down politicisation in the context of "tech" doesn't mean
we tolerate "centrists" or "left" or "right" (those terms are more common in
American political discourse; we use different terms here). We just stick to
the core_issues.


The FSF is also trying not to get caught up in this trap of politicisation.
With the exception of the personal site of RMS [1, 2], that mostly seems to
work. He refuses not to at least link to some political news of interest to him
and his homepage_says: "People often ask how I manage to continue devoting
myself to progressive activism (such as the free software movement) for years
without burning out. The best way I can answer is by recommending a book, The
Lifelong Activist by Hillary Rettig. I disagree with the book on one
theoretical point in the last part of the book: we_shouldn't_think_of_political
activism_as_being_marketing_and_sales, because those terms refer to business,
and politics is something much more important than mere business." █


    * Ageism_in_Tech
    * Microsoft_Lunduke_Still_Fighting_Cancel_Culture_With..._Cancel_Culture


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