𝕿𝖊𝖈𝖍𝖗𝖎𝖌𝖍𝖙𝖘 Bulletin for Tuesday, January 16, 2024
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Generated Wed 17 Jan 02:49:27 GMT 2024
Created by Dr. Roy Schestowitz (𝚛𝚘𝚢 (at) 𝚜𝚌𝚑𝚎𝚜𝚝𝚘𝚠𝚒𝚝𝚣 (dot) 𝚌𝚘𝚖)
Full hyperlinks for navigation omitted but are fully available in the originals
The corresponding HTML versions are at 𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈
Latest in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒕𝒙𝒕 and older bulletins can be found at 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒕𝒙𝒕-𝒂𝒓𝒄𝒉𝒊𝒗𝒆𝒔
Full IPFS index in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒊𝒑𝒇𝒔 and as plain text in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒊𝒑𝒇𝒔/𝒕𝒙𝒕
Gemini index for the day: gemini://gemini.techrights.org/2024/01/16/


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

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


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

⦿ Techrights  -  BSD and GNU/Linux Are About the Users Exercising Control Over Life (Which is Increasingly Computerised), Microsoft is Still the Antithesis

⦿ Techrights  -  EPO Quality of Life: Even The Medical Staff is Burning Out

⦿ Techrights  -  EPO Workers Can Also Help Techrights

⦿ Techrights  -  IRC Proceedings: Monday, January 15, 2024

⦿ Techrights  -  [Meme] Sharing Company Money With Microsoft and Company Data With Crackers

⦿ Techrights  -  [Meme] Shortcuts and 'Savings' on Health (Maybe Campinos Wants to Replace Nurses With Chatbots?)

⦿ Techrights  -  Over at Tux Machines...

⦿ Techrights  -  Red Bait, Proprietary Microsoft

⦿ Techrights  -  SFC (a Splinter Group, Not a Conservancy) Uses 'Man and Baby' to Find or At Least Look   for Sympathy Amid War on SFLC and Its Chief, Professor Eben Moglen

⦿ Techrights  -  [Video] Lies From Microsoft, Systemic Failure, and Cover-up by the Media

⦿ Techrights  -  [Video] "The Heart of Staff Rep" at the EPO Threatens to Snitch to Management

 ䷼ Bulletin articles (as HTML) to comment on (requires login):
https://news.techrights.org/n/2024/01/16/BSD_and_GNU_Linux_Are_About_the_Users_Exercising_Control_Over_L.shtml
https://news.techrights.org/n/2024/01/16/EPO_Quality_of_Life_Even_The_Medical_Staff_is_Burning_Out.shtml
https://news.techrights.org/n/2024/01/16/EPO_Workers_Can_Also_Help_Techrights.shtml
https://news.techrights.org/n/2024/01/16/IRC_Proceedings_Monday_January_15_2024.shtml
https://news.techrights.org/n/2024/01/16/Meme_Sharing_Company_Money_With_Microsoft_and_Company_Data_With.shtml
https://news.techrights.org/n/2024/01/16/Meme_Shortcuts_and_Savings_on_Health_Maybe_Campinos_Wants_to_Re.shtml
https://news.techrights.org/n/2024/01/16/Over_at_Tux_Machines.shtml
https://news.techrights.org/n/2024/01/16/Red_Bait_Proprietary_Microsoft.shtml
https://news.techrights.org/n/2024/01/16/SFC_a_Splinter_Group_Not_a_Conservancy_Uses_Man_and_Baby_to_Fin.shtml
https://news.techrights.org/n/2024/01/16/Video_Lies_From_Microsoft_Systemic_Failure_and_Cover_up_by_the_.shtml
https://news.techrights.org/n/2024/01/16/Video_The_Heart_of_Staff_Rep_at_the_EPO_Threatens_to_Snitch_to_.shtml

 ䷞ Followed by Daily Links (assorted news picks curated and categorised):
https://news.techrights.org/n/2024/01/16/Links_16_01_2024_Bloated_Junk_and_Bottled_Water_Debunked.shtml
https://news.techrights.org/n/2024/01/16/Links_16_01_2024_Surveillance_Concerns_and_Software_Patents_Thr.shtml

                    ䷩ 𝚕𝚒𝚗𝚎 78

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

(ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/01/16/BSD_and_GNU_Linux_Are_About_the_Users_Exercising_Control_Over_L.shtml
    Gemini version at gemini://gemini.techrights.org/n/2024/01/16/BSD_and_GNU_Linux_Are_About_the_Users_Exercising_Control_Over_L.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ BSD and GNU/Linux Are About the Users
Exercising Control Over Life (Which is Increasingly Computerised), Microsoft is
Still the Antithesis⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jan 16, 2024,
updated Jan 16, 2024


             🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇American Flag And Martin L. King⦈


FREE "UNIX" (like the BSDs) or free/libre 'UNIX', such as GNU, should not be
treated as just another "name" or "brand" to be thrown in the mix. They're a
change in paradigm. They don't subjugate users; they empower users. They are
also miles better for developers and security professionals.


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


The Linux_Foundation, whose staff is barely even interested in Linux (many of
them never even tried it!), views "Linux" is just some powerful brand by which
to sell openwashing services, usually_at_the_behest_of_GPL_violators, i.e.
people (and whole companies) who take your freedom away or weaponise your
'freedom code' against you. The Linux Foundation promotes non-free operating
systems that aren't GPL-licensed and aren't Linux. The Linux Foundation should
rename itself, it ought to rebrand to more suitably explain what it is and what
it does. Maybe one day it'll even hire a black person. Maybe. One_can_dream...


According to news report, this_class_action_lawsuit_against_Microsoft's_epic-
scale_GPL_violation is still going on. Microsoft failed to have it thrown out.


Notice how the Linux Foundation has said absolutely nothing about it. Remember
who_the_Linux_Foundation_fronts_for. These people are literally defaming or at
best "trolling" the community.


Yet worse, the OSI took many bribes and staff from Microsoft. Thus, it actively
lobbies for Microsoft's GPL violations or constantly makes excuses (spin) for
them. OSI is a vicious monster, working directly against its core principles
(the original mission).


At the end of the day, BSD almost allows this to be done. BSD is not public
domain, but questions surrounding attribution remain valid.


Let this lawsuit, a class action lawsuit, be a constant reminder that Microsoft
hates Linux, hates the GPL, and thus hates freedom. Its sole goal is to
exercise control over GNU/Linux users.


Don't try to teach Microsoft to "love" GNU/Linux. It'll never happen. At best
it'll act "coy" while attacking you from the inside, usually behind your back.
The goal should be to put Microsoft out of business. █


"I am not interested in power for power`s sake, but I`m interested in power
that is moral, that is right and that is good."


                                                       --Martin Luther King Jr.




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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠃⠀⣿⠿⠟⠛⠋⠉⠙⠛⠛⠛⠛⠻⠿⠿⢿⣿⣿⣿⡿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢠⢾⣧⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⠀⢹⡦⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠂⣶⣶⡼⠃⠀⢰⣶⣾⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣤⣤⣤⣤⣄⣤⣤⡶⣺⠄⢘⣿⠀⠀⠀⠀⠘⢿⣿⣿⣿⡿⠟⣥⣠⡀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠂⠋⠁⠀⠀⢀⢸⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣶⣷⣿⣿⡿⣽⣽⣿⣼⠾⠟⠀⠀⠀⠀⠀⠈⢿⣿⣿⠿⠛⠛⠛⠋⠻⡹⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣀⣀⡄⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣶⣤⣤⣴⣤⣄⠀⠘⢿⡻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢐⡦⣿⣿⣧⠀⠁⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡿⠛⠋⠀⠁⠀⠀⠀⠁⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠰⠿⠉⠉⠉⠁⠀⠀⣿⣿⣯⣛⠙⠉⠛⠟⣿⣿⣟⣻⣿⣿⣶⣶⢶⣦⣤⣤⢴⣶⣶⣿⢟⡇⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⣶⡒⠁⢠⠀⠀⠀⠀⠸⣟⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣀⣀⡴⠞⠭⠻⠷⢭⠌⢴⣿⣾⣿⣿⣜⣙⠻⢶⣦⢘⠽⢿⣆⣴⡟⠁⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⢿⠏⠁⠀⠀⠐⠀⠀⠀⠀⠈⠁⢀⠀⠀⠀⠀⠁⢠⣬⣭
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠠⣴⣿⣿⣿⣿⢿⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠟⠋⠀⠘⠛⠃⠀⠐⠀⠀⢀⣼⣤⠀⠀⠀⠀⠀⠀⠀⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠠⣠⠿⠟⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠀⠀⠀⠀⠀⠀⢈⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⢄⣀⡀⠀⠀⢰⣶⣿⣿⣿⡄⠀⠀⠀⢬⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣀⣤⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⠿⢿⡟⣁⣀⣼⣿⣷⣴⣀⣀⣿⣿⣿⣍⣉⣀⣀⣀⣀⣿⣯⣤⠄⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣦⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣈⣟⣉⣙⣉⣁⣰⣶⣐⣻⣿⣿⡛⠿⠿⡿⡿⠟⢹⣿⣿⣿⡿⠙⢻⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⢀⠀⡀⣤⣶⣤⣿⡴⠆
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣷⣶⣾⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⡿⠿⠿⠦⡀⣶⣶⣷⣦⣾⣿⣿⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⣿⣿⣿⣿⣿⣿⣟⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣩⣥⣽⣿⣿⣿⣿⣿⣿⠷⢶⣶⣴⣏⢩⠙⠫⠭⣹⣯⣄⣀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣛⣛⡛⡛⢻⣿⣿⣷⡆⠀⠀⠀⠉⡭⣿⣿⣿⣿⣰⣶⣴⣿⡿⠿⠛⠙⠛⠛⠛⠋⠁⠈⠁⠉⠈⠁⠀⠀⠈⠁⠉⠁⠛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣿⣿⣶⣾⠟⠛⠉⠛⠛⠛⠻⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣿⣿⣿⣿⣿⡿⢛⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣉⢻⡟⠀⠀⠀⠀⠠⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢻⠃⠀⠀⠀⠀⠀⠈⠙⠿⣶⣦⡀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣆⠀⠀⠀⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡟⢚⣿⣷⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣿⣿⣿⡟⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣴⣄⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠟⢳⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⣀⢀⣿⣿⡇⠀⠘⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢩⣿⣿⣿⣿⡿⣫⣷⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢁⣾⣿⣿⣿⣿⢱⣿⣃⠀⣶⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡛⢿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠈⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠹⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣛⣛⠛⣛⣛⣯⣽⣛⣛⡛⠛⠟⠿⠿⠿⠿⠿⠇⠀⠀⠀⢈⣿⣿⣿⣿⢋⣧⡸⣦⣹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣤⣄⣀⡀⠀⠀⠀⠈⣿⣿⣿⣿⣷⠻⣿⢝⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⣿⣿⣿⣿⠿⠿⠿⠿⠛⠛⠛⠛⠛⠛⠛⠓⠀⠀⠀⠘⠛⠛⠻⠏⡆⢈⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⡻⣿⣿⣿⣇⣃⣬⣭⣶⣶⣶⣶⣶⣦⣤⣤⣤⣀⣀⠀⠀⠀⠀⣀⣠⣴⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣭⣿⣿⡦⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠛⠛⣛⡛⠋⠛⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠹⡍⠛⠻⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣦⡀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⣙⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣤⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣶⣴⣶⣶⣤⣄⣀⣀⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣷⣶⡄⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣘⣿⣿⡇⠀⢰⣷⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀
⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⢽⣿⣿⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀
⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠠⢹⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀
⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠂⢿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀
⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀
⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀
⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀
⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀
⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀
⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀
⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄
⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧
⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⠁⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⠃⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 251

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

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⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ EPO Quality of Life: Even The Medical Staff
is Burning Out⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jan 16, 2024


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Concept_about_medical_lawsuit,_stethoscope_and_gavel_on
white_background⦈_


Burned out staff, which typically escalates the matter and treats it as a
health-related matter (occupational health), discovers that even the medical
staff or nurses cannot keep up (either with the level of burnout or one's own
burnout)


THE Local Staff Committee The Hague (LSCTH), writing to EPO staff this past
fall, shared an "open letter requesting the urgent recruitment of an additional
occupational nurse in The Hague," saying it had been "sent to VP1 Steven
Rowan."


Judging by the body of the open letter, even the people who are meant to help
exhausted (physically and mentally) staff are having a crisis of their own.
Have a look:


     European Patent Office
     Patentlaan 2
     2288 EE Rijswijk
     NETHERLANDS


     Staff Committee The Hague


     dhstcom@epo.org
     Date: 07-09-2023


     European Patent Office | 2288EE RIJSWIJK | NETHERLANDS


     To:
     Mr Steven Rowan
     Vice President DG1 – Site Manager EPO The
     Hague


     By email


     .cc Ms Simon - VP4, Andreas Sattler,
     Jan Boulanger


     § Open letter⠀➾


     ⚓  Urgent need for recruiting occupational nurse in the Hague⠀⇛


     Dear Mr Rowan,


     The newly elected local staff committee of The Hague would like to
     express their concerns of reaching a minimum critical level of
     Occupational Health Services (OHS) available to staff in The Hague.
     As Anne Boström, acting OHS nurse, will be leaving us for her well-
     deserved pension as soon as the 31 st of October, she does not seem
     to have a replacement for the time being. Hilde van de Velde, the
     second nurse with more than fifteen years of experience in our Office
     left on pension this year and had relatively little time to train her
     replacement. With the departure of Anne, the nurse ‘workforce’ would
     go from two senior nurses to one in less than a year, which is a very
     drastic reduction of expertise and capacity in the local OHS.


     We would like to remind you of the fact that our staff in the
     Netherlands face unique challenges due to the structure of the
     national Dutch healthcare system, which provides a different access
     level to health care compared to the other places of employment. The
     national healthcare system is experiencing huge staff shortages and
     long waiting lists, and this ‘health gap’ was partly filled by our
     on-site OH services, at least as far as they could offer support.
     The Dutch General Practitioners network is already overstretched
     which reflects itself in reduced accessibility, lower service levels
     and delayed appointments and referrals.


     The activities and support given by OHS are a true added value for
     our staff and very beneficial for the proper functioning of the EPO
     The Hague.


     =====================================================================
     The specific situation in the Netherlands also brings proportionally
     more work to the OHS services in the TH. Therefore, if in the future,
     we would like to keep the service level as it was promised in the
     discussions on the health reform, none of the OH staff members can be
     spared in The Hague.


     Furthermore, a big part - if not all – of Anne’s workload is likely
     to be taken over by the one remaining nurse on top of her already
     high workload inherited from Hilde. That puts her under serious risk
     of overworking and possibly burn out. The Office should also protect
     the standing OHS staff by providing enough resources in the Hague.


     We therefore request your full support for the immediate start of a
     recruitment procedure for an internal OHS nurse to replace Anne
     Boström. A full time internal OHS nurse position is as necessary as
     always because of the complex situation staff finds itself in.


     In former COHSEC meetings it was confirmed to us that two internal
     full time OHS nurses positions would continue to exist after the
     latest health reform and that any vacant posts would be refilled.
     This is also confirmed in the intranet organigram by two separate
     internal OHS-nurses. Temporary externalization cannot give relief to
     the lack of internal staff for this type of work because of the lack
     of organizational knowledge of such a workforce. It would help staff
     regain trust in management if these promises were kept.


     Kind regards,
     Isabelle Brandt
     Chair Local Staff Committee The Hague


The EPO's corrupt management has managed to make burnout the new normal. The
staff surveys commissioned by SUEPO, the staff union, serve to confirm this. █




⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣀⣐⡒⠒⠀⠀⠀⠀⠀⠀⠀⢀⡐⠀⢴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⢠⣤⣤⣀⣉⠉⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⡿⠈⣋⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⡇⠀⠛⠂⠇⠉⢛⠻⠿⠯⠀⠉⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⡿⠉⠭⠭⠭⠙⠛⠂⠀⠀⠀⠼⢿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⣴⣶⣶⠀⠀⢠⡖⠉⡲⡤⠭⠉⣙⣛⡛⠛⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠿⠟⠛⠛⠉⠉⠉⠁⣀⣀⣙⣲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠉⠙⠛⠐⠀⠀⠄⡀⢿⣿⣿⡃⠀⢻⣿⣿⡇⢸⠀⠀⠀⠀⠀⠈⠉⠉⠒⠒⠒⠠⠤⠄⠈⠉⠉⠉⠙⠛⠛⠻⠿⠿⢿⣿⣿⣿⣿⣿
⠿⠟⠛⠉⠁⠀⠀⠀⣀⣀⣰⣭⣭⣭⣍⣉⠽⠁⠤⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣤⢤⡀⠀⠈⠐⠬⠍⠛⠚⠓⢉⣥⣾⣿⣿⣿⣿⣶⣶⣶⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛
⣀⠀⡀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠺⠿⠷⠖⠂⠀⠀⠀⠀⠀⢀⣀⣂⠀⠈⢿⣿⠏⠓⠂⠀⠀⡀⠀⠀⠀⠀⠐⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠄⢹⡆⠀⠀⠀⠀⣰⢤⡀⠀⠀⣴⣿⣿⠻⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣤⣄⣀⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣷⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⣿⣦⡈⠒⣤⣀⣀⠁⠐⠚⢿⣿⣿⣧⣼⡿⠋⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠧⠀⠈⠉⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⠿⠿⠷⠦⠄⠀⠀⠀⠀⠉⠉⠉⠉⠁⠀⠀⠀⣠⣤⣾⡍⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡿⠿⠛⠛⢉⣹⠏⠠⠤⡀⠀⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣤⣤⣤⣤⣼⣿⠿⢟⣼⣷⣎⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⣉⣁⣤⣴⣶⣿⡟⡕⠀⠀⠀⠀⠁⠀⠀⠅⣐⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠿⣿⡿⠟⠋⠀⠀⠉⠈⢹⣿⣧⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⢠⣶⣶⣶⣦⣤⣀⡀⠈⠁⠒⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣴⣶⣶⣶⣶⡆⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠃⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 423

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

(ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/01/16/EPO_Workers_Can_Also_Help_Techrights.shtml
    Gemini version at gemini://gemini.techrights.org/n/2024/01/16/EPO_Workers_Can_Also_Help_Techrights.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ EPO Workers Can Also Help
Techrights⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jan 16, 2024,
updated Jan 16, 2024


Keep us strong, protect our ability to publish fearlessly. Help us pay for_the
server, which also serves_Gemini,_Git,_IRC_and_more_(the_Web_is_a_perishing
platform). We don't do "clown computing"; we value privacy and control (self
governance).


                  🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Clouds Man Silhouette⦈


The EPO-centric and Europe-focused articles in Techrights are a_lot_of_work and
lots of risk, for all parties involved, including courageous sources (we too
receive many threats all the time; we've lost count of how many). We sometimes
help_mainstream_media_cover_those_same_issues, bringing those to light and
reaching new audiences in languages_other_than_English. No wonder EPO
management is so afraid of Techrights. Readers in_the_know say that "almost
everyone" at EPO reads Techrights.


This year the in-depth EPO coverage turns 10. We hope the hard work and risk
(still taken every day) are appreciated. This site covers not only patent
issues; it's even more to do with workers' rights, and not only in Europe. We
stick the fingers in autocrats' eyes and prevent them censoring us (they try
this all the time, always in vain, so we try to make them pay for it, as it
deters further attempts).


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


Running the site isn't free. Nobody donates hosting to us. We have to pay for
it, without any discounts (prices rose 20% this past December with a one-month
prior warning/notice), and we've converted every page (refinements still
underway) to our own page management system, a static system, in order to lower
costs.


Longevity of information will depend on simplicity (lessening dependencies) and
total operational cost, which isn't limited to energy and space consumption. We
don't outsource. We encrypt anything we can. We maintain as much control as is
feasible on the Net. We don't have our own private ISP and datacentre, so it'll
never be optimal. It's a networked_world. We must network.


EPO workers who want to support_the_site_or_help_cover_the_hosting_bills (i.e.
the cost of transmitting pages/videos to visitors) can do so anonymously/
discreetly. Techrights is pro bono but is open to donations from people, whose
identity it keeps strictly secret. Confidentiality is necessary for sites like
ours. I wrote_about_this_14_years_ago after the site had published 10,000
articles (we're at well over 40,000 now). Since leaving my job I do this 'full-
time' (or double full time, over 80 hours per week), so any little helps.


Our goal is simple: Explain what goes on. Take on suppressed issues, i.e.
issues that other sites and people won't cover or are reluctant to even touch.
We limit ourselves to issues we understand well. █


“Injustice must be exposed, with all the tension its exposure creates, to the
light of human conscience and the air of national opinion before it can be
cured.”


                                                       --Martin Luther King Jr.


             🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇USA Flag with Martin Luther King⦈




⡻⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣯⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣇⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⡛⢟⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠂⡀⡈⣊⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠈⠀⠿⠿⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⠏⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣿⣿⣯⢯
⠀⠑⢱⣷⣿⡋⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠉⠙⠛⠛⠛⠃⠀⠀⠘⠛⠻⠟⠛⠛⠋⠉⠉⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣤⣥⠦⢳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣷⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿
⡋⠹⢿⡿⡿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣤⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⡿⠶
⣝⣷⣷⣯⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣸⣿⣆⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢛⠓⠳⠺⠦⠀
⣿⣽⣿⣿⣿⣿⣿⣯⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⡄⠀⠘⣿⣿⣿⣿⠽⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⢽⠍⢛⠀⠀⠀⠃⠀
⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⣿⡟⠙⢷⠀⠀⣿⣿⣿⣿⣶⣻⣿⣿⣿⣿⠹⠿⣿⢿⡿⠿⣿⣿⣿⠿⡭⠂⠀⠀⠀⠀⠀⠀
⠉⠛⠁⠹⡍⠹⢿⡿⣿⣿⣿⣿⣿⣿⡿⣻⣿⣟⣿⣻⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠙⠀⠀⣫⠀⠀⠘⠀⠀⢟⡿⡿⠿⠛⢉⠉⠸⠉⠩⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢡⡽⠿⠿⡟⡿⢿⣿⣾⣿⣟⠻⠿⠯⠍⠙⠛⠊⠡⠀⠘⠹⠓⠛⠛⠉⠀⠀⠀⠙⠐⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠁⠀⠊⠂⠁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⠙⠛⠢⣤⠠⠦⠿⠿⠿⠿⠻⠻⢿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢰⢻⣿⣿⣿⣿⣿⣿⣿⠋⣈⠙⠻⠿⠿⠿⠿⠿⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠻⠇⠀⠀⠀⠈⠙⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡆⢾⣿⣿⣯⣟⠟⠿⠋⠉⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣄⣨⣭⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⡿⢿⣿⣿⣿⣿⣿⣶⣤⣤⣀⡀⠀⠀⠀⠀⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⣸⣷⠀⠀⠈⠉⠉⢀⣨⣽⣿⡟⠟⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀
⢰⠃⠀⠀⠉⠉⠛⠛⠿⠿⣿⣿⣿⣿⣷⣶⣄⣿⣧⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣤⣤⣤⣤⣀⠀⠀⢸⣿⠀⠀⠀⠀⠘⡿⣿⣿⣿⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠋⣿⡟⠛⠛⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⢀⣤⠀⠀⠀⠀⠀⠀
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣾⢿⣩⢿⣽⣿⣯⣿⣿⣿⣿⣿⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⠈⢸⣿⠂⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀
⠿⠶⣶⣦⣤⣤⣄⣀⣀⣰⣶⣶⣶⣶⣶⠀⢰⣿⣷⣶⣦⣾⣿⣷⣿⣿⣿⣿⣾⣿⣿⣾⣿⣿⣿⣷⣿⣾⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⡀⢸⣄⠈⠉⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠆⠶⠞⠿⠿⠿⠿⠿⠿⢿⢿⠿⢿⣿⣿⡿⢺⣿⣿⣿⣧⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⡀⠀⠿⠟⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠲⢒⡒⠤⠤⢴
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡅⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⡀⠀⠀⢀⣀⢀⠀⠀⠀⠀⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⣿⣯⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⣤⣤⣴⣶⣶⣶⡶⠶⠶⠒⠒⠒⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡄⠀⠀⡀⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠉⠉⠁⠉⠉⠉⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿⡏⠉⠉⠉⠀⠀⠀⢿⣿⡟⢩⠉⠀⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠀⠀⠀⡀⣀⣀⡀⠀⡛⠀⠡⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠠⠤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣤⡀⠀⠉⠁⠀⠀⠀⠀⠀⠀⣸⣿⣧⣀⣀⣀⣀⡤⣠⣤⣆⣂⣭⣿⣯⣽⣿⣯⣿⣿⣭⣭⣽⣽⣿⣿⣿⠿⠟⠋⠉⠈⠁⠚⠛⠛⠈⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣶⣶⣶⡤⠤
⣀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣽⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠰⠶⠾⠿⠟⠂⠈⠉⠉⠉⠀⠀⠀⠀⠀
⣿⣷⣶⣦⣤⣀⡀⠀⠀⠈⠙⠻⢿⣿⣿⡇⠘⣿⣿⣿⣿⣤⣀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡷⠿⠿⠛⠛⠋⠉⠁⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠛⠻⠿⠿⠿⠿⣿⣷⣶⣤⡀⠀⠀⠈⠛⠇⠀⠿⠿⠿⣿⣿⠿⠿⠟⠛⠛⠉⠋⠉⠉⠀⠀⠀⢀⣀⣀⣤⣤⡤⠴⠶⠒⠚⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⣛⣿⣿⡿⠟⠛⠛⠉⠙⠛⠛⠿⠿⢿⣟⣛⣻⣭⣭⣭⣭⡭⠭⠭⠍⠙⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⠟⠛⠉⠁⢀⣰⣵⡿⠋⠁⠀⠀⣠⣾⣿⣿⣶⡶⠾⠿⠿⠛⠛⠛⠋⠉⠛⣣⣀⠀⣀⠀⠀⠀⠀⠀⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠹⠿⠿⣿⡿⠟⠛⠉⠀⠀⠁⠀⠀⠀⣾⣯⡼⠋⠀⠀⠀⠠⠘⠀⢾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠾⣿⢯⡶⡙⣿⣶⡟⠓⠂⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠂⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⢳⣾⡿⠋⠀⠀⠀⣠⡶⣶⣶⣲⡎⠀⠀⠀⢀⣀⣤⣤⣶⢖⢄⢦⣄⣠⣤⣄⠀⠙⠊⠙⠅⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⡀⠀⠥⠄⠀⠁⠴⠀⠀⠐⠀⠘⠈⠏⠀⠀⠀⣠⣾⣟⣸⣿⡿⠋⠀⠀⠀⠠⣿⣿⡿⣟⣭⣧⣿⣿⣿⣿⣿⣿⣿⣷⣶⣄⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠐⠀⠐⠙⣁⠄⠀⠙⣀⠀⠀⠑⠀⡀⠀⠀⠼⣿⣿⣿⣿⠏⠀⠀⠀⠀⢠⠈⡿⢛⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⣠⠀⠀⠀⠶⠀⠀⠀⠲⠃⡀⠀⠁⠰⡀⢄⡈⢿⠟⠁⠀⠀⠀⠀⣠⡶⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢃⠀⠀⣠⠀⡜⠀⠀⠀⠚⠁⡀⠀⠉⢥⡄⠀⠀⠀⢸⡿⠃⠀⠀⠀⠀⣀⣶⣿⡟⠀⢸⣿⣿⣿⣿⠿⠟⠛⢿⣿⣿⣿⠿⠋⠉⠉⠉⠻⣿⣧⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡄⠀⠀⠈⠀⠰⠏⠀⠀⠐⠙⠁⠀⠀⠀⠠⡴⠄⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⠁⢀⣿⣿⡿⢻⣿⡶⠦⠀⠀⣫⣿⣭⠀⠀⠀⠒⠛⠒⢤⣿⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⡄⢀⣠⣶⣶⣿⣿⣿⣿⣿⣷⣶⣶⣤⣤⣤⣤⣤⣤⣴⣾⣿⣿⣿⡿⠛⠁⢸⣿⣿⠀⠈⠈⡐⢀⣀⣠⣾⣿⣿⣷⣤⣤⣦⡀⠐⣈⣾⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠃⣸⣿⠿⠟⠛⠋⠉⠙⠛⠛⠛⠛⠿⠿⠿⢿⣿⣿⣿⡿⠿⠛⠉⠀⠀⠀⢺⣿⣷⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⡀⠀⣰⣾⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣟⡿⠟⠛⠋⠁⠈⠉⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢀⡿⣿⣿⡿⠃⠀⣴⣶⣾⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣤⣤⣤⣤⣤⣤⣤⣶⣾⣆⢽⣿⣿⠿⣿⣿⠿⢋⣾⣦⠀⠀⠀⠀⠀⠀⢀⡀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠘⠛⠏⠁⠀⠀⣀⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⡟⠧⠛⠃⠀⣾⡿⠫⠖⠊⠑⠚⠉⠉⠂⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣀⣀⣴⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠁⠻⠿⢿⣷⠀⠀⠀⠀⠈⠀⠀⣠⣤⡤⠠⣄⡀⡄⠀⠀⠀⠀⠀⢷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣶⣶⣾⣿⣿⣿⡟⠃⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡿⠄⠀⠀⠀⠀⠲⠀⠀⠈⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠿⠿⠉⠉⠉⠁⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣤⣤⣶⣶⣾⣿⣿⣷⢐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠛⠉⠙⠛⠿⢿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣀⣀⣀⣴⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠀⠲⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢠⣴⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⢉⣩⡭⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠸⣿⠿⠟⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⠿⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣶⣶⣶⣶⣶⣶⣶⣦⡄⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣶⡦⠀⠀⠀⠀⢠⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⣀⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣟⡀⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⢁⣿⠄⠀⠀⢠⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⠀⠀⠀⣿⡟⠀⠀⢀⣠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠟⠀⠀⠀⠀⠸⠀⠀⠀⠘⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 594

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

(ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/01/16/IRC_Proceedings_Monday_January_15_2024.shtml
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⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ IRC Proceedings: Monday, January 15,
2024⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jan 16, 2024


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


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


                                              #techrights_log                                                                                           #boycottnovell_log


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


                                         #boycottnovell-social_log                                                                                        #techbytes_log


                          Enter_the_IRC_channels_now




⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣿⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⠛⠛⠛⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢀⡠⣶⣶⡶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣴⣫⠞⠉⠀⠉⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠉⠁⠀⣰⠃⠁⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠳⢤⡀⠀⠀⡟⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣿⡄⠀⣧⠀⠀⠀⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡉⠉⠉⠉⠉⠉⠁⠀⠀⠀⣿⡇⠀⠹⣦⣄⣀⣴⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⢰⣿⠁⠀⠀⢀⣼⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠁⠀⠀⠀⠀⠀⠀⣼⡋⠀⠀⠘⣿⣿⣿⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⣸⣿⠃⠀⣠⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⢰⣿⣿⣷⣴⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 829

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

(ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/01/16/Meme_Sharing_Company_Money_With_Microsoft_and_Company_Data_With.shtml
    Gemini version at gemini://gemini.techrights.org/n/2024/01/16/Meme_Sharing_Company_Money_With_Microsoft_and_Company_Data_With.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ [Meme] Sharing Company Money With Microsoft
and Company Data With Crackers⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jan 16, 2024


When the management or decision-making people have_no_clue but have dinners
with Microsoft staff/Microsoft partners/Microsoft pushers


    🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇We replaced all those 'difficult' Linux things with
                                 Sharepoint⦈




⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣟⠿⡛⡟⢻⠛⠛⡟⡟⡛⡛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣶⣷⣷⣾⣷⣷⣷⣶⣶⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⡀⣀⣴⣶⣀⡀⣀⠀⠐⠒⠒⠀⠀⠐⠒⠒⠀⠐⠒⠒⠶⠶⢶⣶⣶⣶⣶⣶⣶⣶⣶⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⣛⣸⣿⣀⣟⣟⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⣍⣿⠛⠋⠈⠛⣿⠙⠛⠽⡲⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⡇
⠀⠀⠀⠀⣠⣤⢤⣼⣿⡿⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⢽⠉⡏⣿⢿⢉⢹⢿⡯⢹⣹⢉⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⣭⣯⣥⣤⣄⠀⠀⠀⠀⠀⠀⠁⠁⢰⣦⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⠀⣤⡾⠛⠛⠛⠛⠉⠉⠀⠀⠈⢿⣿⣿⣿⡛⢻⡟⠛⣛⢻⠛⠛⡟⡻⣿⢻⢿⢻⢛⢻⠛⠛⠛⢿⢻⣿⣿⣿⣿⣿⠃⣼⣿⣿⣿⣿⣿⣷⣄⣀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠈⢻⣿⣿⣷⣾⣿⣶⣶⣾⣾⣶⣷⣿⣿⣾⣷⣶⣶⣾⣾⣶⣶⣾⣾⣿⣿⣿⡿⢃⣼⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣷⡀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⢸⣿⣿⣧⡈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠉⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢋⢴⣿⣿⣿⣿⣿⣿⣿⣶⠶⠶⣬⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⠘⠿⢿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⢸⣿⣿⣯⣽⣿⣿⣯⣿⣿⣿⣿⣷⣿⣿⣿⠀⠐⡆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⠀⡄⠀⠉⢻⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣦⣤⣬⣍⣉⣉⣉⣉⠉⠀⠀⡄⠀⠉⠻⢿⣿⣧⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠻⣿⣿⣿⡇⠈⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⢰⣦⠀⢀⣸⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠆⠀⠀⢀⣿⣿⡟⢻⣿⡏⠡⠬⠉⣻⡄⠀⠀⡇⠀⠀⠀⠀⠈⠛⢧⠘⠟⠛⣛⣻⣃⣀⣀⣀⢁⣀⣀⣰⣿⣿⣿⡏⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⠐⠈⠁⠈⠛⠋⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢹⣿⣾⣿⣿⣿⠄⠰⣿⣿⡿⠁⠀⠀⡇⠀⠀⠀⠀⠀⠀⠠⣀⣰⣾⣾⣽⣿⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠀⠀⠀⠀⠈⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⢀⠀⠀⠀⣠⣴⣿⠇⠀⠀⠂⠐⠒⠐⠐⠐⠒⠸⣭⣿⣿⡟⢛⣉⡀⠀⠘⠁⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠤⡤⣠⡀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⢈⣁⡀⠀⠈⢿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣿⣷⣿⣿⡧⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⢲⣾⣿⣷⡄⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⠈⠁⠀⠁⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣻⣿⡋⠁⠀⠀⠀⠀⠀⠀⣹⠀⠀⠀⠀⠀⣀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣴⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣶⠀⠀⠀⠀⣤⣐⣿⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⡇⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣼⣯⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⠀⠀⢰⣶⣦⣤⣤⣀⣀⣀⣀⣤⣶⣿⣿⣿⣿⣿⡽⣿⣿⣷⣍⠻⠯⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⡇
⠀⠀⠼⣿⠿⣿⣿⡿⠿⣿⡿⣿⡿⠿⠿⠿⠿⠿⠷⠻⢿⠿⠋⠿⠄⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣦⠙⠛⠿⠿⣿⣿⣿⣿⣿⣿⠿⣾⡿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⠿⢿⠿⠿⠿⠿⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣀⣤⣤⣤⣤⣤⣤⣄⠀⠀⣀⣀⣀⣤⣄⢀⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣿⣿⡿⠿⠿⠿⣿⡿⠃⠀⠿⠿⠟⠟⠋⠈⠋⠁⣀⢀⡴⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⡓⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣡⣤⣦⣴⣶⣄⣠⣄⠀⣠⣤⣄⣴⣦⣀⣰⣶⣶⠏⠀⠀⠀⠀⠀⠀⠀⠀⢤⣤⣤⣤⣤⣤⣀⠀⠙⡆⠀⠀⢰⣶⣀⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⢰⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠘⢹⣿⣿⣿⣿⣿⣿⣿⠈⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⢀⣀⡀⢀⣀⣭⣿⣿⣿⣿⣿⣿⣧⠈⠙⡀⠀⠀⣿⣿⣷⣦⣀⣀⣤⣴⣶⡆⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀
⢀⣸⣿⣿⣿⣿⣿⣿⣿⠀⢹⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣴⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡎⠉⠁⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⠾⠟⠛⠃
⠸⠛⠉⠉⠈⠙⠻⣿⣇⣤⣾⣿⣿⣿⣿⣿⣿⡏⠀⠀⢀⣾⣿⣾⠛⣟⢻⡋⢻⣿⣿⣿⢛⣛⢛⣿⣇⠰⠀⡁⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣼⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠉⠋⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⠿⠿⣿⣿⣿⣿⣿⢣⡖⣤⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠁⣤⡤⠀⣠⣶⡆
⠀⠀⠀⠀⠀⠀⠀⣿⣿⡏⣠⡀⢀⣽⣿⣿⣿⢰⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⡛⣻⣿⣟⣿⣿⣿⣿⣿⡧⠀⡇⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣄⠀⢰⡿⠃⢤⣿⣿⡇
⠸⠿⣶⣶⣦⣄⠀⣿⣿⡗⠻⡟⠛⣿⣿⣿⣿⣧⣿⡾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⣺⠀⢸⠋⢁⣀⡀⣀⣈⣻⣿⣿⡿⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠴⠞⠛⠿⠙⠛⠛⡇⡌⠀⠀⠀⠸⣿⡇
⠀⠀⠀⠀⠙⢿⣿⣿⣿⣷⠖⠀⢘⣛⣿⣿⣿⣿⣿⡧⠸⣿⣿⣿⣿⣿⣯⣥⣶⣶⣶⣾⣿⣿⣿⡟⠈⡆⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⠀⠘⠃⠸⣿⣿⣿⣿⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⡿⡇⠀⠄⣀⢀⣿⡇
⢠⣶⣆⠀⠀⠀⣿⢹⣿⣿⣤⣤⣶⣿⣯⣸⣿⣿⣿⡿⠆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣆⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⣿⠃⠀⠀⠀⢀⠹⠿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⡇⠰⣶⠟⠛⠛⠛⠃
⠘⢿⣿⣦⠀⠀⢻⣆⠉⠀⢹⣿⣿⣯⡼⣿⣿⣿⠏⠁⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢱⢩⣯⡳⢶⣤⡈⠻⢶⣶⣆⣰⣿⡆⠀⠴⠟⠀⣷⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢁⠀⣨⣧⠀⠀⠀⠀⠀⢀⡀
⠀⣠⣽⣿⠇⠀⠀⠈⠁⠀⠐⣿⣿⣿⣿⣿⣿⣿⣉⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢀⠀⢤⣭⡻⣞⢨⣿⣶⣾⣿⣿⠉⢷⡀⠀⠀⠀⠀⢿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⣄⣴⢿⣟⣯⣿⣿⠀⠀⠀⠀⠉⣉⡁
⠀⣿⣿⡟⠀⠀⠀⢀⣀⣢⣴⣾⣿⣿⣿⣿⣿⣿⡇⢀⡀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⠏⢀⡌⢠⣄⣉⣻⢿⣾⣿⣿⣿⣿⣿⣿⣾⣿⣷⠆⠀⠀⢀⣿⣿⣦⣤⣀⣀⠀⠀⢀⣤⣾⣾⣿⣿⣿⣿⣿⠀⠐⠶⣾⡉⠙⠃
⠀⠻⠛⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⠀⠀⠀⠙⣿⣿⣿⣿⣿⡟⠁⡀⢈⠁⣈⣉⡙⠻⠿⣶⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀
⠀⢀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⢠⣤⣿⣿⣿⣿⣿⠀⠀⣓⠈⡈⠙⠛⠿⣷⣶⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⠀⠀⠀⠀
⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠉⠉⠁⠉⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 891

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

(ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/01/16/Meme_Shortcuts_and_Savings_on_Health_Maybe_Campinos_Wants_to_Re.shtml
    Gemini version at gemini://gemini.techrights.org/n/2024/01/16/Meme_Shortcuts_and_Savings_on_Health_Maybe_Campinos_Wants_to_Re.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ [Meme] Shortcuts and 'Savings' on Health
(Maybe Campinos Wants to Replace Nurses With
Chatbots?)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jan 16, 2024


"Hey Hi" (AI) as a misnomer for language/word_analysers is overrated_and
useless. Need_more_staff.


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇This is how EPO wants you to think of occupational health at
   the office; The management's tribalism and nepotism crushed health too⦈


How much more does the EPO "earn" from under-staffing critical and clinical
units at the Office? After a wave of suicides and overwhelmingly depressed
staff nothing was learned.




⣿⣿⣿⣿⣿⣿⣿⣿⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣩⣿⣿⣿⣿⡍⡍⠉⢙⠉⡟⢉⢹⡏⠉⠉⠋⠋⢩⣿⣿⣿⣯⣍⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣡⣾⣿⣿⣿⣿⣿⣷⣷⣶⣾⣶⣷⣶⣶⣷⣶⣦⣶⣴⣼⣿⣿⣿⣿⣿⣿⣦⡙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⣿⣿⣿⣿⠟⠛⠙⠛⠻⠋⣼⣿⣿⣿⡇⠸⢠⠀⢸⡄⡈⡀⠘⠀⡆⠀⠀⣧⢠⠀⠀⠀⡇⢀⠀⣿⣿⣿⣿⣷⡌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⢹⣿⣿⣁⣀⣀⣀⣀⡀⠀⣿⣟⢛⠛⠟⡟⢻⠛⣿⠛⡟⣿⠟⠿⠻⠟⠟⠟⠛⠟⢛⢛⢻⠛⠛⢻⠛⡟⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⡟⣿⣿⣿⣿⣿⣿⡀⢿⣿⣸⣀⣀⣇⣰⣀⣿⣀⣆⣾⣀⣄⣩⣈⣥⣀⣀⢆⣈⣸⠈⣀⣄⣈⣀⣃⣻⣿⠃⣼⣿⡿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣜⢩⣍⠉⠛⠟⠛⠳⠈⠻⣿⡏⠉⢉⠉⠋⠏⠉⠉⡿⠉⠉⣯⢩⠉⠉⢹⡏⠙⢉⠉⠉⠉⡋⣽⣿⡿⠋⡴⠋⠁⠀⠀⠀⠀⠈⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣟⣛⣴⣇⠠⣄⢀⣀⡙⠳⣶⣶⣶⣶⣶⣶⣶⣷⣶⣶⣿⣾⣶⣶⣾⣷⣶⣾⣾⣶⣶⣷⡾⢋⣠⡞⣡⣶⣿⣿⣶⣤⡀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⠿⡿⠉⢰⣿⣿⣾⣿⣷⣤⣙⡛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢰⣿⣿⣇⡿⣿⣿⣿⡿⠿⢿⡄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⡿⢿⣷⠂⡀⠀⣬⣉⣉⣩⣭⣭⣩⣤⡀⠀⠀⠉⠻⢿⣿⣧⠻⣿⣷⣏⣀⣸⣏⣀⣀⣩⣿⢀⢸⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣯⡿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣷⣄⣠⣿⣿⣶⣌⡛⠇⢹⣿⣿⢿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡿⣀⣤⣾⣿⣿⣿⣿⣿⣿⣟⣿⡿⠁⣿⣿⣿⣿⣿⣿⣿⡿⣿⣉⡛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣿⣿⣶⣿⣷⣦⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⣿⣯⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⢫⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠟⠛⠛⠛⠋⠉⠉⠁⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡀⠨⠙⠒⠠⣄⣠⣤⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣟⣻⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠉⠙⠛⠀⣢⣤⣀⣀⡀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠭⠉⠛⠙⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠂⢤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣶⣄⡴⠂⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⢠⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡿⣿⣿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⣀⣀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⡿⢿⣿⣿⣿⡿⢿⣿⢿⣿⣻⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣯⡁⣿⣿⠀⠀⠀⠸⠛⡭⠋⢹⣿⣿⢸⣟⠆⠊⢻⣿⣿⣿⣿⣿⣯⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⣿⣿⣿⣿⣿⣿⠀⣿⣷⣻⢸⣿⣿⣿⡂⢐⣿⣤⡀⠀⠙⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⢻⠻⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠘⣿⠀⡅⣼⣿⣿⣿⣿⣿⣷⢸⣿⣿⣿⣿⡿⠛⠙⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⡿⠆⣿⣿⣾⢸⣿⣿⣿⡆⠘⠿⣿⡇⠀⡢⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣧⢸⣶⠀⠀⠀⠀⡀⣤⣄⣠⣤⣾⠀⣿⣧⣿⢿⣿⣿⣿⣿⣿⣿⡎⣿⣿⣿⠏⠀⠠⢤⠄⠀⠀⠈⢿⣿⣿⣿⣿⠋⢠⡄⠈⠙⠻⣿⣿⠟⣡⣤⡄⠀⠉⢻⣯⢸⣿⣿⣟⡄⠐⢰⣬⣧⢠⣇⣿⡿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠈⣇⠀⠀⠀⢸⣟⢏⠟⠋⠉⠉⠀⢿⣿⣗⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⠀⠀⡤⠚⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⢩⣉⡀⠀⠀⢹⣯⠐⠛⡏⠁⡀⠀⠀⢻⢸⣿⣿⣿⣇⠀⢘⣻⣯⣽⣿⣿⣾⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡆⡟⠀⠀⠀⢠⢼⡟⠀⠀⠀⠀⠀⠀⢻⣿⣿⡿⢋⣁⡉⠉⠻⣿⢹⣿⣏⡀⠀⠀⠀⠀⠀⠀⠀⠨⣿⣿⣿⣿⠈⠁⠀⠁⠀⠀⢸⣿⠈⠛⠉⠉⠀⠀⠀⠀⠸⢿⣿⣿⣭⢠⣼⣿⣟⢫⣿⣿⣿⣜⢿
⣿⣿⣿⣿⣿⣿⣿⡇⠡⠠⠀⠀⢸⣿⡆⠀⡀⠀⠀⠀⠀⣼⣿⣿⠁⢈⡉⠁⠀⠀⢺⣼⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣿⣿⠁⠀⠀⠀⠀⠀⠙⠯⡀⠀⠀⠀⠀⠀⠀⠀⠲⠈⠿⢿⣿⣽⣏⣽⣿⡼⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⢸⡿⠀⠀⠀⠀⠀⠀⠀⠸⠛⣿⠀⠈⠂⠀⠀⠀⠈⣽⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⡿⠋⠀⠀⠀⠀⠀⠀⠀⠂⢿⣇⣀⠴⠂⠀⠀⠐⠀⠀⠀⠠⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⠯⠀⠀⠀⠀⠀⠀⠀⠀⠀⡻⠀⠀⠀⠀⠀⠀⢼⣧⠄⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠈⢶⡄⠀⠀⠀⠀⢀⠔⠀⠚⠛⠋⠀⠀⠀⠀⢀⠀⠀⠀⠀⠙⣆⣻⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⣠⡞⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠀⠀⠀⠨⠀⠀⠀⠀⠀⣽⣿⣿⡿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠋⢠⢭⠀⢀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⢀⣖⠄⠀⠀⠀⠀⠀⠀⠀⠀⠊⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢀⡠⠍⠁⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠁⣠⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢠⣦⣴⣿⣿⣿⣿⣿⣿⡿⣻⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣭⣳⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⢺⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡿⠓⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣬⠀⠃⠀⠲⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣇⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡗⠒⠂⠀⡄⢠⠒⠂⢠⠒⠀⠒⠠⠐⢠⠐⠄⢢⠐⠂⡠⢒⠂⡄⠐⠓⠂⡄⠂⠐⠂⡄⢠⠂⠐⠒⠚⠑⢒⠢⢨⠛⠓⠂⠒⠠⠀⠀⠒⠂⡠⠒⢢⠐⠀⠐⡀⢒⠂⡚⠛⠛⢻⣿⣿⣿⣿⣿⣿⣯⣿
⠿⢿⣿⣿⣿⣿⣿⣿⠀⣿⠀⡁⢸⠀⡱⢸⠀⠀⠀⡄⠠⠘⠀⠀⢸⠀⠀⠇⢘⠒⡇⢈⡇⠀⠀⠀⠀⢈⡇⠀⠀⡇⠀⣷⡧⢈⠁⠀⡇⢸⡇⢈⠐⠀⠀⠀⠀⡇⠠⠘⠀⢀⠀⡣⢌⠑⡄⠀⠀⢸⣿⣿⣿⣿⣟⠿⢿⣿
⠀⢈⣿⣿⣿⣿⣿⣿⡤⠟⠤⠧⠼⠤⠄⠘⠤⠤⠤⠥⠔⠤⠤⠣⠼⠤⠦⠔⠬⠤⠣⠤⣤⠼⠼⠤⠤⠤⠧⠤⠤⣧⡤⠝⠁⢬⠄⠀⠣⠜⠣⠼⠤⠤⠤⠤⠤⠣⠔⠤⠤⠤⢤⠅⠬⠄⢡⣤⣤⣼⠍⠙⣿⡟⠷⠃⠓⢸
⢛⣻⠉⠉⡏⠹⠉⡏⠁⠐⢀⠀⠎⢰⠀⣰⠀⡀⠒⢉⠁⣀⠀⡀⠀⠊⠉⢱⠀⠀⠀⠀⡟⢩⠁⡆⠉⠰⠈⡏⢱⠉⠉⡆⢹⠉⡆⢁⡀⢀⠐⡄⡆⠀⠀⠈⢀⡆⠀⢰⠀⣆⠉⣰⠀⡆⢹⣏⠉⢉⠊⡉⢳⠉⠉⠂⠀⢸
⣶⢾⠀⠀⠇⠀⠀⡇⠀⠀⢠⠀⠀⢸⠀⣼⠀⡄⠆⢸⠀⣿⠀⡇⠀⠒⡄⢹⠀⠀⠀⠀⠇⢸⠒⡇⠀⠘⠀⡇⢸⠂⠈⠃⢠⠀⡇⢠⡇⢸⠀⣇⡇⠀⠀⠀⢠⠇⠀⢸⠀⣿⠀⣿⠀⡄⠸⣽⠀⢸⠀⡇⢸⠀⠀⠀⠀⢸
⣿⣗⣶⣶⡶⣚⣶⣷⣶⡆⢸⡖⢓⠚⠒⠚⠒⠁⠀⠂⠒⠘⠒⡐⠒⠑⠐⠊⣶⡖⠒⠂⠰⠂⠂⠑⠒⠒⠑⠐⠘⠲⣴⡓⠚⠒⠓⠒⠒⠒⠒⣿⠓⠒⣒⡒⠒⠒⠒⠒⠲⡞⢲⠛⠒⠓⠂⠈⠒⠚⠒⠐⠊⠲⡔⢉⡀⢸

                    ䷩ 𝚕𝚒𝚗𝚎 968

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

(ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/01/16/Over_at_Tux_Machines.shtml
    Gemini version at gemini://gemini.techrights.org/n/2024/01/16/Over_at_Tux_Machines.gmi

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


posted by Roy Schestowitz on Jan 16, 2024


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


⚓  Updated This Past Day⠀⇛


   1. ⚓ Clear_Course_is_Set_for_openSUSE_Leap⠀⇛


           The openSUSE release team confirms there will be a successor to
           Leap 15 and it’s a numerical leap forward


   2. ⚓ StarFive_VisionFive_2:_Finally_a_RISC-V_SBC_for_the_Masses?⠀⇛


           predicting (or planning) that RISC-V will take a major part of
           the server space within 5 years from now


   3. ⚓ Android_Leftovers⠀⇛


           GL.iNet Flint 2 router review – Part 2: WiFi 6, 2.5GbE,
           WireGuard performance


   4. ⚓ Fear,_Uncertainty,_Doubt,_Security,_and_Windows_TCO⠀⇛


           Some security news


      ⚓  New⠀⇛


   5. ⚓ Android_Leftovers⠀⇛


           4 Of The Best Nintendo DS Emulators For Android


   6. ⚓ openSUSE_Leap_16_Confirmed,_Will_Be_Based_on_SUSE’s_New_Adaptable_Linux
      Platform⠀⇛


           The openSUSE Project confirmed today the successor to its
           openSUSE Leap 15 operating system series as openSUSE Leap 16,
           which will be based on SUSE’s new Adaptable Linux Platform
           (ALP).


   7. ⚓ Eccryption_in_Fedora_and_Red_Hat's_Broken_System_for_Promoting
      Microsoft⠀⇛


           Some IBM/Red Hat stuff


   8. ⚓ Audiocasts/Shows:_This_Week_in_Linux_(TWIL),_GNU_World_Order,_LINUX
      Unplugged,_and_Free_Software_Security_Podcast⠀⇛


           4 new episodes


   9. ⚓ Software:_Memtest86+,_Content_Management_Systems,_Text-based_Web
      Browsers,_Surya,_and_More⠀⇛


           Some Free software lists and articles


  10. ⚓ GNOME_45.3_Released_to_Allow_Sharing_of_WPA3_(SAE)_Networks_with_QR
      Code⠀⇛


           The GNOME Project released today GNOME 45.3 as the third update
           to the latest GNOME 45 “Riga” desktop environment series to fix
           more bugs and also add a few enhancements.


  11. ⚓ Releases_of_Ergo_(IRC)_2.13.0_and_GNU_cpio_2.15⠀⇛


           Two new releases


  12. ⚓ today's_howto⠀⇛


           a lump of howtos for MLK Day


  13. ⚓ Programming_Leftovers⠀⇛


           4 more picks for today


  14. ⚓ Slow_News_(US_Holiday)_Leftovers⠀⇛


           today's leftovers


  15. ⚓ Open_Hardware/Modding:_Raspberry_Pi_5,_ESP32,_and_More⠀⇛


           Devices with Linux selling well


  16. ⚓ today's_howtos⠀⇛


           not so many yet (holiday)


  17. ⚓ BSD:_FreeBSD,_Lazy_Reading,_and_httpd_on_OpenBSD⠀⇛


           Some BSD updates/views


  18. ⚓ Software:_Hugo,_Kubernetes,_and_KDE⠀⇛


           3 software-related updates


  19. ⚓ Emacs_for_writers⠀⇛


           Then the discovery: GNU Emacs – dnf install emacs


  20. ⚓ 9to5Linux_Weekly_Roundup:_January_14th,_2024⠀⇛


           The 170th installment of the 9to5Linux Weekly Roundup is here
           for the week ending on January 14th, 2024.


  21. ⚓ 5_Best_Free_and_Open_Source_X10_Home_Automation_Software⠀⇛


           Here’s our open source recommendations


  22. ⚓ KDE_Frameworks_5.114_Adds_New_Quality_Settings_for_AVIF_Images,_Fixes
      More_Bugs⠀⇛


           KDE Frameworks 5.114 open-source software suite is now
           available for download with various small changes and minor bug
           fixes for users of the KDE Plasma 5.27 LTS desktop environment
           series.


  23. ⚓ Review:_Linux_AI_voice_assistants_and_talking_to_myself⠀⇛


           Anyway, around the holidays I was invited to try out a new
           Alexa speaker and the experience, well, it didn't go smoothly


  24. ⚓ today's_howtos⠀⇛


           only 3 for now (holiday in US)


  25. ⚓ Today_in_Techrights⠀⇛


           Some of the latest articles




⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠿⡀⠀⠀⠀⣀⠀⠀⣤⣿⣿⣿⣿⣿⣿⣦⣀⠄⡠⢱⠶⠄⣠⣴⡶⣖⣂⣴⣼⣿⣿⣿⣷⣦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡄⠴⣶⢀⣦⢰⠀⣰⣾⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡂⠀⠀⣠⣾⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⡆⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⠿⣊⣴⣤⣼⣿⣷⠆⠀⢈⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⡀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿
⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠉⢻⣿⠇⣠⣴⣿⣿⣿⣿⣷⣶⣶⣶⣶⣦⣤⣴⣮⣻⣼⣺⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢸⣽⠀⠀⠀⠀⠀⣙⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣷⣶⣿⣿⣿⣶⣶⣿⣿⣶⠟⢿⣮⣷⣄⢀⠀⣠⣤⠀⠀⢀⣻⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠁⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢁⡠⠞⠛⠉⠋⠈⠛⠋⠀⠛⠻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠈⠀⠘⣿⣿⣿⣿⣿⣿⣿⡣⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⡇⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢈⢀⡤⢳⢻⣿⡟⠹⣽⡏⡡⡰⣙⣽⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠇⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣷⣄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣾⡿⠄⣴⡞⠝⠷⣿⣧⠋⣰⣶⣌⠃⣷⣷⡈⠉⣛⣿
⣿⣿⣿⣿⣿⠛⠻⣿⠋⣤⠄⣅⣀⠀⠀⠀⠘⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⢻⣷⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣷⣴⡝⢠⡷⣄⡻⠿⣴⠋⠀⠈⢳⣾⡛⠉⢄⢺⡿
⣿⣿⠛⣿⣿⠙⢀⢭⢤⠤⢤⣤⣁⠀⠙⠒⣄⢻⣿⣿⡷⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢃⢤⢾⣢⢽⣿⣿⣿⣿⣿⣻⣼⣻⣿⣿⣿⣻⣿⡿⣿⣆⡞⢀⠀⢗⢠⣹⡄⠠⡀⢼⣧⣴⡄⠀⣾⠛
⣿⣦⣤⣬⣟⢰⠈⣄⣎⣯⠏⠃⡉⠼⣽⣑⢀⠘⢿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⢨⢭⣺⣽⣿⣟⣻⣿⣿⣿⣿⣿⣿⢟⣼⣿⣧⢿⠉⠙⣷⡄⢃⠸⣿⣿⣧⠀⣧⠼⣿⣿⣿⡈⣷⣴
⣿⣿⣟⣛⠁⣤⠞⠉⡟⢻⡴⠛⠻⡄⣿⡎⡈⠗⠿⢻⣿⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣟⣿⣿⣿⣿⣿⣭⣭⣽⣿⣿⡿⣡⣾⣿⣿⠃⠀⠰⣿⣿⣇⢸⠀⣿⣿⣿⡀⢸⠀⢻⣿⣿⡇⢸⣿
⡉⠭⠭⠍⣈⣿⢠⢠⣴⣼⠃⡀⢡⡿⠉⠋⢃⢨⠃⢺⣿⣿⣇⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣋⣛⣛⣳⣶⣮⣽⣯⣭⣽⣿⢿⢯⢼⣿⣿⣿⠃⠄⠀⠀⢹⣿⣿⠀⡇⢹⢿⠿⣇⣀⣄⣸⣿⡟⢛⠈⢻
⠿⠭⠽⢱⣿⠇⡆⣾⣿⡏⠀⠁⣼⣿⡇⠀⠜⠁⢀⣍⢿⣿⣿⣷⡐⠛⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠋⣋⣙⡛⠿⣿⣿⣿⡿⢛⣵⣿⣿⣿⣿⢃⡠⣤⢀⡀⣸⣿⣿⣦⠷⠚⠊⡅⠉⠉⠉⠉⠀⢀⣰⡍⠐
⠀⠄⠀⣾⣿⢠⢰⣿⣿⠁⡘⢠⣿⣿⢁⠃⢀⣈⠘⠛⠘⣿⣿⣿⣿⣦⣉⣻⠏⡾⣿⢻⣿⣿⣿⣿⣿⣿⣿⢏⣴⡾⡟⠘⣟⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣻⣹⣀⡇⣿⡇⠉⢠⡀⢄⣓⣭⣭⣭⣭⣥⣤⣴⣦⣦⣄
⠰⡀⠘⠚⠛⠛⢋⣑⠛⠻⠷⠾⡟⠏⣸⠇⡄⡟⡌⣽⣦⢨⣿⣿⣿⣿⣿⠈⠹⠁⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠹⡇⠀⡟⠘⣿⣿⣿⣿⣿⡿⡻⠿⡟⠻⣿⣻⣽⣿⣿⣿⢭⣭⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠑⠁⣭⣥⣵⣷⣾⣮⣤⣷⣒⣰⠶⠀⣙⣶⣿⣷⣷⣿⣿⠸⠿⠟⢽⣿⠅⠀⠈⠀⡷⢘⣿⣿⣿⣿⣻⠿⣿⡿⠇⠤⠇⠀⠇⠀⠟⠙⠛⠛⢻⡆⣦⠐⢰⡜⠈⣿⢹⣿⡏⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⠟⠻⠿⠛⠻⣿⣿
⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⢻⣿⡇⣿⣿⣧⣁⣿⣵⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠆⠀⠀⠀⠀⡔⠀⠀⠂⡈⠀⡄⢀⣼⣿⣿⣿⣿⣿⣿⣿⣚⣻⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⢇⠀⠀⠀⠀⠀⢘⢿
⢀⡟⠁⠉⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢼⣽⣿⣿⣯⠿⠿⠿⠿⠿⢿⡾⣀⠀⠀⠀⠀⠀⠀⣴⠀⢾⠀⠀⠀⠀⠀⢻⠀⡆⠀⠧⠀⠿⠸⠏⣉⣉⣉⣉⣉⣉⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⢰⠀⠀⠈⣿
⣸⠃⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣻⣿⣿⣶⣶⣶⣶⣖⠂⣄⠀⠀⠀⠀⢀⡀⠀⣨⣤⡄⢀⣤⣀⠤⣤⣤⠀⠄⠀⢀⣀⣀⣀⣨⠈⣿⣿⣿⣿⣇⣿⡏⣿⣿⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⡆⠀⠘⢻
⡏⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣇⣿⠿⣿⣿⣿⣿⣿⠉⢨⣿⣿⣿⣿⣿⣧⣠⣤⠟⠁⠀⠀⠀⠀⠁⠈⠃⢲⣦⢐⣸⣿⣿⣼⣯⠀⣿⣿⠿⢿⣿⣻⢷⣟⣻⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⣠⣤⣧⣤⣤⣘
⣃⣉⣙⣛⣛⣛⡿⠍⠿⢿⣿⣿⣿⣭⣽⣷⣶⣾⣽⣾⡟⠀⣸⣿⣦⡾⢟⠈⠉⢉⢉⡿⢋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡙⢾⢈⣉⠉⣉⡉⣧⣿⣿⡀⢀⣿⣽⣿⣿⣷⣶⣶⡾⠿⢛⡓⠈⢉⣭⣤⢠⡤⠀⠀⠆⠂⠒
⠹⣿⣿⡿⡛⠋⢠⡄⠹⢷⣶⣶⣼⡏⣿⡟⢸⣿⣿⣿⣟⢚⣿⡟⠛⡃⡀⠘⠁⠀⠻⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣖⢹⠋⠀⠈⠇⠛⢻⣿⣏⢈⣿⣾⣿⢸⣿⡏⢹⣷⣿⠟⠀⣤⠀⠙⡹⡎⠁⠀⠀⠀⠀⠀
⢊⣿⣿⠳⠁⠀⠀⠀⠀⣼⣿⣿⣿⣰⣿⣧⢿⣍⣙⣿⣷⣾⣿⣷⡆⠋⠁⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⣰⣸⣿⣿⣼⣿⣟⡿⠼⠿⣷⢸⣿⣿⠀⠀⠀⠀⠀⣧⣷⣄⠀⠀⠀⠀⠀
⣿⣿⡿⣶⠀⠀⠀⠀⣦⣼⣿⣷⣶⣾⣿⠛⡿⢿⣿⣿⣿⣿⣿⢻⠁⠀⠀⠀⠀⠀⢀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣭⣭⣽⠁⠀⠀⠀⠀⢀⣸⢳⠀⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 1189

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

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⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Red Bait, Proprietary
Microsoft⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jan 16, 2024


This is proprietary software that does not even (no, not really) run on GNU/
Linux. Under IBM, Red Hat will become more like Microsoft_reseller. This week
(MLK Day) in the official blog:


    🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Stratis-managed file systems for Abusive Monopolist
            Microsoft SQL Server on Red Bait Enterprise GNU/Linux⦈


“People that use Red Hat, at least with respect to our intellectual property,
in a sense have an obligation to compensate us.”


                                                                --Steve Ballmer




⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣶⣶⣖⣖⡆⡦⣶⢖⡖⢰⣶⣀⣖⣶⣲⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠃⠀⠀⠀⠀⣆⣤⣦⣤⣴⣠⣠⣤⣄⣦⡄⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢹⣿⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢴⡒⢆⣄⣀⣀⣀⣀⣆⣒⣀⣀⠀⠀⣀⣀⣀⢀⣀⢀⣀⡀⣀⡀⣀⣀⢀⣀⡀⣀⣰⠀⣰⣒⣲⢀⣀⡀⢀⣀⣀⠀⣀⣀⣠⣀⣀⣀⣀⣀⣀⣀⣀⡀⢀⣖⣀⣀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠠⠭⠗⠧⠼⠰⠭⠇⠧⠿⠭⠷⠉⠁⠇⠿⠸⠺⠽⠿⠀⠗⠯⠿⠧⢼⠸⠭⠝⠧⠼⠀⠸⠸⠿⠹⠭⠅⠨⠽⠞⡾⠨⠽⠺⠬⠯⠭⠿⠸⠀⠯⠭⠆⠀⠇⠧⠼⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⡀⢀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⠀⠀⣀⣀⠀⣀⣀⠉⡉⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⢀⠀⣀⠀⣀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢸⢳⡞⡇⣧⡚⠃⡟⣖⢓⡶⠿⣲⠛⣮⡟⢹⠋⢈⡓⢮⢾⠀⣈⡇⡇⠀⠀⡓⠢⣵⡾⠦⡟⠻⣤⢷⠿⠦⡟⠁⣴⠛⣶⡟⣧⠀⡧⢴⢳⠿⠦⡞⢻⠀⣿⠒⣿⡾⢷⢻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠈⠀⠀⠁⠁⠉⠁⠁⠈⠉⠈⠉⠈⠉⠁⠁⠈⠉⠀⠉⠉⠀⠉⠉⠁⠉⠉⠀⠉⢉⣀⣉⡁⠁⠀⠉⠀⠉⠁⠁⠀⠈⠉⠈⠁⠉⠀⠁⠈⠁⠉⠁⠉⠉⠀⠉⠀⠉⠉⠉⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢰⣒⠒⡤⣄⢴⢄⡤⣄⡤⢤⠤⡀⡤⢲⡠⢄⣠⢄⠀⢰⠀⠀⣦⡤⡄⡄⢠⢄⣨⠻⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠸⠤⠤⠇⠸⠸⠜⠯⠍⠇⢸⠤⠃⠇⠸⠯⠝⠻⠭⠀⠸⠤⠄⠿⠀⠇⠧⠾⠜⠳⠀⠈⢻⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⠛⠿⣿⣿⣿⣿⣷⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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                    ䷩ 𝚕𝚒𝚗𝚎 1244

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

(ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/01/16/SFC_a_Splinter_Group_Not_a_Conservancy_Uses_Man_and_Baby_to_Fin.shtml
    Gemini version at gemini://gemini.techrights.org/n/2024/01/16/SFC_a_Splinter_Group_Not_a_Conservancy_Uses_Man_and_Baby_to_Fin.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ SFC (a Splinter Group, Not a Conservancy)
Uses 'Man and Baby' to Find or At Least Look for Sympathy Amid War on SFLC and
Its Chief, Professor Eben Moglen⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jan 16, 2024,
updated Jan 16, 2024


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


The real acronym is "Software Freedom Conservancy" and the name is misleading
because it keeps trying to cancel_rather_than_conserve the roots of the GNU
GPL, which it opportunistically_takes_(or_makes)_money_from.


Yesterday:


   🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Supporter Interview with Elijah (and Oliver!) Voigt by
                               Daniel Takamori⦈


Moglen's position statement:


                🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Noises Off by Eben Moglen⦈


The splinter_group_SFC, which sells_literal_"thank-yous"_to_corporations,
recently said_that_it_was_raising_money_from_mysterious_rich_people_who_"match"
donations. Yesterday afternoon my wife noticed that the SFC had published an
interview with "man and baby"; she said she read more about it because she
found the baby thing (or angle) curious but then she realised there was no
connection to the baby. The headline names this baby.


To me, personally, it looks similar to the post Madame Karen Sandler did weeks
ago, portraying herself as a dying hero on her death bed or something, begging
for money even though she has earned a quarter million dollars a year. You poor
baby... running out of money yet?


So my wife still asks, what's the connection to the baby? She also asks, what
code did Sandler actually write? My wife has a Computer Science degree, whereas
Sandler has a law degree which she said publicly she'd only use for "good" and
"pro bono"". Well, attacking Eben Moglen (SFLC) and Richard Stallman (basically
the people behind GNU and the GPL, which Stallman_explained_in_Ukraine_just
before_the_Russian_invasion) is not exactly "good" and she makes vastly more
money than them. That's not what pro bono means.


But remember, as per this "Supporter Interview with [man and baby]" [1], if you
give money to the SFC, some rich people will give them more money and you also
support cute little babies.


Contrariwise, if you stick to the people who actually made the GPL, then SFC
wants you to think you pay someone “DERANGED,” “rogue,” or “a thug.” To quote
Eben Moglen's official response/statement from October [2]...


All these ad_hominem_attacks_on_Moglen and on Stallman typically come from
close associates of the SFC, including Matthew_Garrett and his buddy Sharp, who
now receives a 6-figure salary from the SFC to become a Cancel Officer or
cancel mob ringleader, pretending that SFC is magically ethical because it
recruits the people who viciously attack Linus Torvalds and his kernel
'deputies', libelling them in public and humiliating them with false
accusations.


About 2 weeks ago Garrett complained about "rapists" in events. He's doing it
again. Yes, Mr. "you're missing out" for not looking for sex at FOSS
conferences (that's Garrett) keeps saying it. Maybe he is just projecting (his
own behaviour), hoping to shift attention to others. He and his spouses (yes,
plural) know that there's a deeply troubling history of indecent exposure in
front of uninterested men. Sick or deviant behavior from this couple compels
them to project, accusing others of what they themselves are guilty of,
including_transphobia. We'll write about this later in the year and also
present court documents to support these assertions. █


Related/contextual items from the news:


   1. ⚓ Supporter_Interview_with_Elijah_(and_Oliver!)_Voigt⠀⇛


   2. ⚓ Noises_Off⠀⇛


           We have received inquiries about a recently-published “Joint
           Statement by Free Software Foundation Europe and Software
           Freedom Conservancy Regarding Eben Moglen and Software Freedom
           Law Center.”


           Concerning matters in litigation SFLC speaks only through its
           legal filings. Former SFLC employees Karen Sandler and Bradley
           Kuhn have brought these same claims to the US Trademark Trial
           and Appeals Board, seeking an order to prohibit me from
           questioning them under oath in SFLC’s action to cancel a
           fraudulently-acquired trademark—depositions which they have now
           been avoiding for five years. Our recent filings contesting
           their motion are therefore all that we can say at present. The
           sworn statements of Kuhn, Sandler, and Kuhn’s psychotherapist
           also provide valuable context.


           Background concerning FSFE’s involvement in this matter can be
           found in a Code of Conduct complaint I filed with FSFE in
           October 2020. FSFE never investigated my complaint. The present
           statement suggests a sudden interest in these events. One would
           think that the first order of business would be that long-
           delayed investigation. Our request for an independent
           investigator given the parties charged, which has been pending
           for three years, should now be honored.


           It seems to have become fashionable in the US these days to
           call opposing counsel “DERANGED,” “rogue,” or “a thug.” I have
           been a lawyer, a legal historian, and a teacher and trainer of
           lawyers for nearly forty years; I know why this conduct is
           dangerous and unacceptable. But we are each personally
           responsible to the courts whose officers we are for maintaining
           the dignity of justice. This matter is in the court’s hands,
           put there by those who are now shouting at me in the street.
           Perhaps when the tribunal has ruled it will be appropriate to
           respond further.


           Please email any comments on this entry to
           press@softwarefreedom.org.




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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠖⡀⠀⢀⠈⠀⠀⠀⠀⠀⠈⠀⠀⢘⣡⣴⠡⠊⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣏
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠢⠀⠘⠷⠆⢀⣀⠀⠀⠁⠀⠀⠛⠛⠋⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣶⠀⠀⠀⠀⠀⠀⠀⠰⡾⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠐⠀⠀⠚⠀⣯⠿⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣀⣼⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⢠⡉⠀⠀⣠⡀⠘⠿⡀⣀⡀⠀⢀⡆⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠏⠁⠀⢰⣯⠙⡇⠀⠙⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣾⣄⣈⠀⠜⠳⣄⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡟⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⣄⡀⠀⠙⣄⠀⢀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣷⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣴⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠐⠀⠀⠀⠀⠠⠀⠀⠚⠉⠻⣿⣷⣷⡇⠘⠠⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣆⠈⠷⡀⠀⠀⠀⠀⠀⠀⠀⣰⠐⠃⠀⠀⠠⠁⡠⠻⠙⣿⣧⡀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣶⡆⠀⠀⡏⠀⠀⠑⡀⠀⠀⠀⠀⢠⠈⠀⠀⠀⣨⣄⠖⠀⠀⠀⢸⣿⠈⠁⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠉⠀⠀⠀⠘⠀⠀⠀⠀⢸⣿⣄⢘⡈⠟⠀⠀⠀⠂⠀⠈⡇⠐⢰⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⠦⠄⠀⠀⠀⠀⠀⠀⠃⠀⠀⣼⣾⣿⣿⡞⠁⠀⠀⠀⠀⠀⠀⢠⢡⠇⣸⣷⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠠⠃⠀⠀⠀⠀⢸⠀⠀⡫⠉⠉⠙⠳⠀⠀⠀⠀⠀⠀⠀⡜⢠⢰⣿⣿⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⡆⠀⠀⠀⠸⠘⡄⣰⠋⢀⠀⠐⣠⠐⠀⠀⠀⠀⠀⠀⠁⠈⢸⡿⡟⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾
⣿⣾⣾⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠁⠀⠀⠀⠀⠀⢹⣇⡄⢌⠄⠁⠀⠔⠀⠀⠀⠀⢰⡟⠀⢰⣿⢣⠁⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⢸⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠇⠀⠈⠿⠛⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣄⠀⠀⠂⠀⢸⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠠⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢹⣟⠗⠀⠀⠀⠀⠀⠀⠀⢰⣿⠇⠜⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠸⡏⠀⠀⠀⠀⠀⠀⠀⠀⣾⡏⠀⢀⠀⠀⠀⣾⣧⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣼
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣇⠀⡀⠀⠀⠀⠀⢠⡔⠃⠁⠀⠀⢠⡀⠀⠈⠀⠀⠀⠀⠀⠉⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣿⣿⣾⣿⣿
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⣿⣿⣿⣯⣓⣙⠉⣉⣚⣽⣿⣿⣿⣿⣿⢿⢿⣿⣫⣻⣉⣿⣿⣯⡿⣿⣿⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⣭⠩⣭⣩⣩⢭⢭⡍⢹⠉⣍⢭⡍⣭⠉⣿⠩⣩⡭⡭⣍⢍⠉⣿⢫⣯
⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⢻⣿⣿⣿⢩⡏⡍⡏⡍⣏⢽⢉⣹⢩⡍⢫⢏⢹⢩⢹⢩⣏⠏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣉⣈⣉⣈⣉⣉⣈⣁⣸⣀⣃⣉⣁⣈⣀⣿⣀⣉⣉⣉⣉⣁⣀⣿⣷⣭
⢸⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣶⣷⣶⣷⣷⣷⣾⣶⣾⣾⣷⣾⣶⣾⣾⣾⣶⣟⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠘⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠀⠁⠈⠐⠀⠀⠀⠀⠒⠙⠀⠚⠀⠀⠊⠛⠀⠀⠓⠘⠀⠀⠀⠐⠙⠀⠘⠀⠘⠑⠀⠀⠚⠐⠘⠀⠀⠀⠀⠃⠃⠈⠘⠁⠚⠀⠀⠀⠈⠃⠀⠊⠃⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢰⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶
⢸⣿⣿⣿⣿⣿⣏⣯⣋⣉⣹⣟⣉⣋⣏⣉⣯⣽⣿⣍⣹⣍⣿⣍⣹⣹⣿⣿⣝⣉⣉⣯⣽⣭⣯⣏⣏⣉⣯⣉⣹⣉⣙⣍⣯⣿⣉⣏⣿⣿⣯⣏⣉⣙⣽⣝⣽⣉⣉⣯⣹⣽⣹⣽⣉⣉⣯⡏⣫⣽⣹⣫⣉⣽⣹⣍⣿⣿
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣭⣽⣿⣤⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⣿⣿⡿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⡿⠛⠛⠛⠛⠛⠛⠛⠛⠻⣿
⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⠀⣀⣀⢀⠀⢀⠀⣀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣦⣤⣤⣤⣤⣤⣶⣶⢹
⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠂⠃⠛⠚⠀⠊⠚⠘⠁⠃⠛⠛⠐⠁⠛⠁⠛⠃⠃⠙⠛⠙⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣥⣦⣦⢶⣽⣼⠮⣼⣿⢸
⢸⣿⣿⣿⣿⣧⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⣀⣤⣆⣠⣮⣉⣁⣀⣀⣀⣀⣀⣉⣩⣿
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢸⣿⣹⣏⣉⣉⣉⣿⣿⣿⣩⣏⣍⣹⣽⣿⣿⣿⣉⣉⣉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⡿⢿⡿⡿⣿⣿⣿⣿⣿⣿⣿⢿⣿
⣸⣿⣃⣸⣋⣏⣹⣉⣏⣹⣹⣸⣩⣏⣿⣸⣹⣁⣏⣍⣹⣝⣅⣉⣩⣋⣹⣏⣉⣇⣜⣨⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣦⣦⣼⣧⣤⣼⣧⣤⣮⣦⣼⣧⣴⣵⣬⣼⣼
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣈⣏⡉⢹⣇⣩⣉⣈⣉⣉⣏⣉⢉⣷⣡⣉⣉
⢸⣿⣬⣽⣤⣭⣯⣽⣿⣧⣼⣬⣭⣮⣿⣿⣾⣤⣭⣿⣬⣹⣧⣯⣿⣦⣬⣥⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⠿⢿⠿⡿⣿⡿⠿⠿⠿⠿⠿⣿⡿⠿⠿⡿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣾⣼⣼⣿⣿⣿⣿⣿⣿
⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣄⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣻⢻⢻⣿⣿⣿⣿⣿⣿
⢸⣿⣿⣤⣾⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣷⣼⣄⣀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⠀⠀⠘⠛⠘⠆⣀⠀⠀⠀⠀⠀⠀⠀⠈⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣾⣸⣸⣿⣿⣿⣿⣿⣿
⢸⣿⣿⠀⠀⠀⠀⠀⠈⠀⢀⠠⣀⡀⠀⠁⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣻⢿⢻⣿⣿⣿⣿⣿⣿
⢸⣿⣿⠀⠀⠀⢌⠔⠂⠀⠄⠠⠀⠁⣑⣂⠀⠀⠸⠟⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣾⣾⣾⣿⣿⣿⣿⣿⣿
⢸⣿⣿⠐⠙⠂⠄⠀⠀⠄⠀⠀⠀⠐⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣻⣹⣻⣿⣿⣿⣿⣿⣿
⢸⣿⣿⠀⠀⠀⠀⠂⠀⠀⠀⠀⠒⠀⠀⢐⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⢿⢿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⠂⠀⠀⠀⠀⠒⠀⠀⠈⠅⠘⠓⠚⠀⠀⠀⠀⠀⠀⠃⠀⢼⣿⠋⠙⠻⢍⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣾⣾⣾⣿⣿⣿⣿⣿⣿
⢸⣿⣿⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⡀⠀⠀⡀⠍⡿⠛⠚⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣻⣹⣹⣿⣿⣿⣿⣿⣿
⢸⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠁⠂⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⢿⢿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⠸⡇⠀⡐⣬⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣾⣾⣾⣿⣿⣿⣿⣿⣿
⢸⣿⣿⠀⢷⣺⠇⠁⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣢⡀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣽⣹⣽⣿⣿⣿⣿⣿⣿
⢸⣿⣿⠀⢨⡆⠀⠀⠀⠀⠀⠀⢤⣧⡶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣠⠿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⢿⢿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀⠈⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⠀⢏⣿⣳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣽⣹⣹⣿⣿⣿⣿⣿⣿
⢸⣿⣿⡀⣲⢦⣭⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⢿⢿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⡲⢉⣟⢛⣬⢿⣿⣥⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⡿⢷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿
⢸⣿⣿⣕⣌⣿⣾⣿⣽⣭⣙⢿⡻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣛⢿⣯⡻⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⢽⢹⢹⣿⣿⣿⣿⣿⣿
⢸⣿⣿⢸⣽⣿⣝⢽⣟⣿⡿⠌⢛⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⡿⡭⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⢼⣭⣽⣮⡿⡯⣟⣰⣜⢩⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⢵⠙⣎⡰⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣽⣼⣼⣿⣿⣿⣿⣿⣿
⢸⣿⣿⣛⣚⣄⣩⡍⠈⠊⣹⡟⢿⣺⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣮⣫⡡⢠⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⢿⢻⢿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣯⣿⣽⣽⣯⣭⣭⣿⣯⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣶⣶⣶⣶⣶⣶⣶⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⡇⡟⣝⠟⠟⢻⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣇⣓⣚⣒⣒⣚⣛⣛⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠙⠛⠛⠛⠛⠛⠛⠛⠓⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡇⠊⠸⠩⡋⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟
⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡟⠟⡿⡿⠿⠿⡿⣿⢛⠟⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀
⣿⣿⣿⣧⣦⣬⣦⣤⣤⣥⣿⣭⣦⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮
⣿⣿⣿⡟⠻⡟⡛⠿⢻⠛⠟⡛⠻⢻⡟⠻⡻⢛⠿⣻⢛⢿⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡧⢄⣩⣬⣉⣩⣹⣏⢝⢩⡭⣩⣸⣽⣉⠉⣁⣩⡹⣁⣋⣉⣽⣉⣿⣩⣋⣭⣀⣩⡉⢁⣁⣍⣈⠩⣸⣖⠍⣸⣸⣀⡈⣨⡉⣭⣉⣙⣈⣩⡠⣉⢉⣵⣨⣁⡉⣉⣩⣹⢠⣫⣉⣙⣍⣀⣋⣹⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡧⡤⠴⠤⠤⡼⣤⣤⣼⣤⣤⣤⣤⣼⣼⣼⣤⣤⣤⣤⣤⣧⣥⣴⣤⣴⣦⣤⣧⣤⣧⣤⣤⣤⣤⣤⣧⣼⣤⣴⣤⣼⣤⣤⣠⣤⣾⣤⣤⣼⣤⣤⣤⣦⣤⣤⣧⣶⣤⣤⣤⣤⣼⣥⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣷⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣏⢝⠛⠻⢛⣛⡛⠻⡟⠛⠋⣙⣻⢻⢹⡏⡛⠛⠋⢹⣻⡯⠉⡉⠫⣽⠛⡛⡛⠹⢻⢛⡋⢻⠉⢻⢟⠛⢻⡏⠛⡏⠛⠛⢻⠉⢙⡻⠛⣏⣙⢛⣛⡛⢻⢉⣉⢟⢽⡛⢛⠻⠹⡛⢛⢛⢻⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣇⣈⣩⣉⣹⣀⣉⣏⣀⣉⣏⣩⣁⣇⣈⣉⣁⣉⣹⣙⣿⣯⣽⣍⣉⣍⣇⣩⣋⣉⣩⣹⣁⣉⣉⣹⣉⣉⣉⣩⣉⣉⣨⣏⣹⣉⣏⣍⣹⣈⣁⣇⣾⣉⣈⣉⣉⣩⣹⣶⣍⣁⣋⣉⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡯⡄⠤⢥⠤⡤⡧⠤⣥⡤⠼⡤⢤⠦⢤⢄⠸⣤⠼⢤⢤⠬⢿⢷⣧⡵⠤⢤⣤⡼⢤⢤⠦⡤⠤⠥⢠⠴⠤⠤⠤⡤⢄⢤⡤⠤⣤⢧⡴⡤⣤⡮⡤⡤⢾⡴⡧⠥⠧⠧⢤⢼⠬⡤⠥⢤⠦⢼⠿⢿⣿⣿⣿⣿⣿
⣿⣿⣿⡷⡳⠶⡶⠶⡷⢷⣶⠚⠲⢶⠶⣶⠦⠶⠶⠿⠲⠾⡖⠺⠞⢶⣶⠿⠿⣶⣶⠶⠶⡖⠷⠶⠶⠾⠶⢶⠖⡶⠺⠶⡷⠷⢦⡷⠶⠶⠶⠿⡶⢶⠷⠶⠶⠶⡶⣶⢓⡶⢶⠥⠶⠶⠷⣶⣾⣴⣶⣶⣾⣿⣿⣿⣿⣿
⣿⣿⣿⡟⠚⠒⠓⡚⠒⠚⠛⡖⢲⠲⠒⡓⠲⡗⠖⠚⠒⠒⢳⠖⠒⢺⠛⠒⠺⣚⢻⢷⣶⣓⠑⠚⢚⠒⠒⠚⠐⢳⠒⠒⢳⠒⠚⠒⠐⠒⡖⠒⠱⠒⠐⠒⡗⠒⠛⠚⠚⢳⣾⣶⣾⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡧⢤⡤⠤⢠⠤⣤⠮⠼⠤⢤⠴⡤⢤⠤⢄⢤⡧⡥⠧⠷⢼⡴⠤⠤⠴⢦⢤⣤⡤⢧⡼⣽⢿⣧⣤⢤⡤⡤⡧⢤⣬⠤⡤⠦⣤⠴⠤⣧⠼⢤⢿⢴⡤⣤⠥⠼⡤⠤⣦⢤⣤⢼⠦⡤⣄⢤⢮⡤⠾⣿⣿⣿⣿⣿
⣿⣿⣿⡷⢶⠶⢶⠖⠶⢾⠲⠶⠶⠿⠾⡗⣷⠗⠶⠷⠶⠷⠶⠾⠷⢷⣞⠲⠶⡷⠶⠶⠶⢺⢶⠲⠶⡾⠻⢷⣶⡶⢿⠢⠶⡷⠶⠆⠶⡶⠗⣿⠾⠗⠾⠴⠶⡶⠶⠶⠷⢲⠲⢶⠖⠶⢶⢷⠶⠥⢴⣶⣶⣾⣿⣿⣿⣿
⣿⣿⣿⡗⠘⠒⠲⠓⠂⠛⠲⠒⠒⠐⠒⠃⠛⠲⡶⠒⢚⣖⠚⠒⠒⠒⠓⠒⢲⠓⢲⠒⠂⠚⠚⠒⠞⠓⠒⡎⠛⠿⣾⣆⣲⡚⠒⡒⠂⠓⠒⠗⠐⢲⠒⠒⡒⠓⢺⠒⡒⠚⠚⠚⠰⡒⢚⠑⠒⡆⠛⠛⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣏⣉⣋⣁⣯⣋⣙⣍⣙⢽⣁⣫⣉⣉⣙⣹⢩⣉⣉⣹⣎⣫⣉⣉⣉⣯⣋⣙⣏⣋⣏⣉⣋⣉⣉⣋⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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                    ䷩ 𝚕𝚒𝚗𝚎 1520

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

(ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/01/16/Video_Lies_From_Microsoft_Systemic_Failure_and_Cover_up_by_the_.shtml
    Gemini version at gemini://gemini.techrights.org/n/2024/01/16/Video_Lies_From_Microsoft_Systemic_Failure_and_Cover_up_by_the_.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ [Video] Lies From Microsoft, Systemic
Failure, and Cover-up by the Media⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jan 16, 2024


Video_download_link | md5sum 9db7b3b9e75038cc723e4138b8b5a756
Things_Microsofters_Do_and_Say
Creative Commons Attribution-No Derivative Works 4.0


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


TODAY'S video covers a mixture or a range of issues, some of which I can
reflect upon based on personal and direct experience (company_gone_astray after
about 6-7 years since I joined; I resigned almost 12 years later and the matter
remains far_from_settled).


The video speaks about "Microsofters" in the workplace and what they can do to
fellow tenants and peers, in essence breaking what always worked (before they
came and interfered). In the case of a government agency, it can become a
Microsoft cult. In the case a business, it'll likely fail very fast (but the
capital it once had will be passed to Microsoft; heck, the people who do this
might be working for Microsoft but on another company's paywall). In the case
of state/national/local "universities", it seems they will "add as many small
barriers to teaching and research as they can get away with," to quote a
friend. "That's on top of the fraudulent time management system which wastes
over 16 hours per employee per month on a task which used to be < 1 hour per
employee per month with the paper-based model."


That happened where I worked too. There's no practical benefit. Everyone hated
that. Everyone. The management who decided on it exempted itself from it, i.e.
the nuisance was meant to make only "other staff" miserable.


Then there's the aspect of security. Data breaches often happen in 'Windows
shops' or places that accommodate everything from Microsoft - a company
notorious_for_working_with_the_NSA_against_its_so-called_'clients'.


Microsoft and security are opposites.


Some media outlets "seem to go out of their way to avoid naming Microsoft as a
'unindicted co-conspirator' in the world's ransomware mess," the friend said.
This company "has cultivated the ransomware sector from a tidy cottage industry
to a multi-billion dollar per year global behemoth. Eventually it will have
enough spare resources to start to take on real operating systems, not that it
will be easy but it will be possible to hunt weak/misconfigured/neglected
outliers."


As I point out in the video, schools and such workplaces tend to hire some of
the worst "IT" people, who could not find a job in "the industry". Due to their
lack of skills they tend to just outsource almost everything to Google,
Microsoft, and so on. At one stage Sirius did this too (Google outsourcing,
even in Welsh education) despite "Open Source" in the company's site, name etc.
Thank you, Mr. Kink, for insisting that "Google is your friend"...


In technical workplaces, such as the one where my wife and I worked for nearly
21 years combined (I had worked for universities before Sirius), there's a
tendency to hire for "price" and then have nontechnical and unqualified people
in decision-making roles (e.g. 3 sexual partners of Mr. Kink, people without
background in computing assigned to highly technical roles). That's when Mantis
or some other Free software gets replaced by proprietary junk, bloat like JIRA,
and locally hosted code repository (such as Git; oh, that's too hard!!!) gets
pushed aside because "GitHub!"


"Apropos earlier," my friend told me, "pytorch CI breach is not a 'supply
chain' problem but a Microsoft GitHub problem. The problem lies with allowing
Microsoft into the supply chain. That Microsoft has been breached is a given."


From our Daily Links:


    * ⚓ New_Class_of_CI/CD_Attacks_Could_Have_Led_to_PyTorch_Supply_Chain
      Compromise⠀⇛


           In short, an attacker can use a fork pull request to become a
           contributor to a repository that has a self-hosted runner
           attached, and then be able to run any GitHub workflow on the
           runner. If the runner was configured using the default steps,
           it is non-ephemeral, enabling persistent access.


    * ⚓ Playing_with_Fire_–_How_We_Executed_a_Critical_Supply_Chain_Attack_on
      PyTorch⠀⇛


           Security tends to lag behind adoption, and AI/ML is no
           exception.


           Four months ago, Adnan Khan and I exploited a critical CI/CD
           vulnerability in PyTorch, one of the world’s leading ML
           platforms. Used by titans like Google, Meta, Boeing, and
           Lockheed Martin, PyTorch is a major target for hackers and
           nation-states alike.


           Thankfully, we exploited this vulnerability before the bad
           guys.


           Here is how we did it.


    * The same narrative was parroted yesterday_in_LWN: (which really ought to
      know better)
           § Stawinski: How We Executed a Critical Supply Chain Attack on
           PyTorch⠀➾


           John Stawinski IV describes, in detail, how he and a partner
           were able to compromise the security of the heavily used
           PyTorch project.


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


    * As noted in the video, they recently blamed people uploading rogue
      packages to PyPi on "Linux" (how_very_common), making it seem or feel
      like GNU/Linux is at fault for merely running some malicious package
      downloaded without verification.
      "Maybe, or maybe not, related to the Microsoft vulnerability last week,"
      my friend told me, "Microsoft Sharepoint is getting ripped a new one with
      an actively exploited set of holes."


      "Microsoft munchkins will be working hard to distract from that," he
      added.


      I did notice_a_sharp_uptick_in_unfair_security_"news", naming phony
      issues in "Linux" when the real problem was bad password. Is that enough
      of a distraction? █




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⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢠⢀⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠻⣿⡟⢁⠂⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢠⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⠂⠸⠟⢠⢂⣾⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⢀⣐⣀⣶⡆⠆⠀⠀⠀⠀⠀⢸⡇⠠⠀⣿⣿⣿⣿⣿⣿⣿⣭⣭⡁⠀⠛⠻⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠆⣿⡇⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠽⣿⣿⣿⣷⡀⡀⠀⢀⣀⡀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣾⣿⡇⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣴⣢⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⣤⣀⣀⣼⣿⣿⣾⣵⣦⣠⣔⣲⣵⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠛⠋⠀⠈⣿⠿⢿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠈⠉⠉⠩⣿⣿⣯⠉⣹⡏⣩⣄⠀⠀⡶⠄⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣾⣿⣿⡄⠸⠟⠉⠀⠀⠀⠀⠀⠀⠀⢿⡆⢸⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠸⢻⠀⢸⣷⡿⠏⠀⠀⠹⠁⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠸⠯⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠠⣦⡀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⡇⠀⠀⠀⠀⠀⠁⠂⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢩⣽⠙⣋⣿⣿⣼⣟⣿⣿⣿⣿⣽⣿⡇⣼⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣲⣿⣿⣿⣿⣿⣼⣽⣫⡽⡿⣻⣿⣿⠿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⢿⢁⡧⡏⣥⠤⣠⠠⠠⣀⠀⢰⣤⡇⡅⠄⢠⠄⠄⡤⣤⢠⢠⢸⢱⢠⣠⣠⠀⣄⠀⢰⠀⡆⠄⡄⠀⣤⣤⡤⣆⠤⡇⠀⠤⡀⣀⡠⣠⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⣟⣪⣁⣅⣁⣉⣀⡁⠍⠈⠈⠀⠈⠀⠁⠁⠉⣈⣀⣉⣉⣉⣈⣉⣈⣈⠉⠉⠈⠀⠈⠀⠈⠈⠁⢉⣁⣈⣉⣉⣣⡃⠉⠁⠀⢠⣡⡍⠡⠉⠄⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣯⣿⢽⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠻⠿⠟⠿⠛⠛⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣴⣶⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⢟⣿⣻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡰⣿⠋⠀⠀⠀⠈⠑⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣿⣿⣿⢿⣿⣿⣿⣿⡇⠀⠀⢰⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠶⠤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣿⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⠀⣂⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠨⠋⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠀⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢨⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠤⠅⠀⠀⠀⠠⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢈⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣫⢀⣴⣶⣶⣷⣶⣤⣄⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠈⣹⣿⣿⠛⠉⠀⠀⠀⠀⢀⠂⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⢢⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢠⢀⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠾⠻⣿⡟⢁⠂⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢠⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⠂⠸⠟⢠⢂⣾⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⢀⣐⣀⣶⡆⠆⠀⠀⠀⠀⠀⢸⡇⠠⠀⣿⣿⣿⣿⣿⣿⣿⣭⣭⡁⠀⠛⢻⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠆⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⣿⣷⡀⡀⠀⢀⣀⡀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣾⣿⡇⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣴⣢⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⣤⣀⣀⣼⣿⣿⣾⣵⣦⣠⣔⣲⣵⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠛⠋⠀⠈⣿⠿⢿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠈⠉⠉⠩⣿⣿⣯⠉⣹⡏⣩⣤⠀⠀⣶⠀⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡄⠸⠛⠉⠀⠀⠀⠀⠀⠀⠀⢿⡆⢸⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠘⢻⠀⢸⣷⣿⡏⠀⠀⠙⠁⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠐⠿⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠸⠯⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⣍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠠⣦⡀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⡇⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢉⣽⠘⣋⣿⣿⣼⣟⣿⣿⣿⣿⣽⣿⡇⣼⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣲⣿⣿⣿⣿⣿⣼⣵⣫⡽⣿⣻⣿⡿⠟⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⢲⢂⡧⡟⣧⠤⣀⠤⠠⣤⠀⢰⣤⡆⡅⠤⢤⠄⠤⡤⣤⢠⢤⢴⢵⢤⣤⣠⠄⣤⠀⢰⠐⡆⠤⡄⠀⣤⣤⡤⣆⠤⡆⠀⠆⡀⣤⡠⣀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⣟⣺⣁⣇⣃⣛⣀⠉⠬⠀⠈⠀⠈⠀⠁⠃⠑⠘⠀⠑⠉⢊⠈⠊⠘⠈⠊⠀⠈⠀⠀⠀⠈⠀⠁⢑⢁⣈⣛⣫⣣⡃⠀⠁⠀⢠⣡⡌⠡⠉⠠⢩⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠻⠿⠟⠿⠛⠛⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣴⣶⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⢟⣿⣻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡰⣿⠋⠀⠀⠀⠈⠑⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢿⣿⣿⢿⣿⣿⣿⣿⡇⠀⠀⢰⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠶⠤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣷⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣂⣽⣿⣿⣿⣿⣿⣿⣿⡇⠀⠨⠋⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠀⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣠⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠤⠁⠀⠀⠀⠠⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⣠⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢙⢀⣴⣶⣶⣶⣶⣤⣀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣹⣿⣿⠛⠉⠀⠀⠀⠀⠀⠁⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠊⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢠⢀⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠶⠿⣿⡟⢁⠂⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣸⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⠂⠸⠟⢠⢂⣾⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢀⣐⣀⣶⡆⠆⠀⠀⠀⠀⠀⢸⡇⠠⠀⣿⣿⣿⣿⣿⣿⣿⣯⣭⠁⠀⠛⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠆⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⣿⣿⣿⣷⡀⡀⠀⢀⣀⡀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣶⣽⡇⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣴⣢⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⣤⣀⣀⣼⣿⣿⣾⣵⣦⣠⣔⣲⣵⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠐⣻⢿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠟⠛⠋⠀⢠⣿⠿⢿⣻⣿⡿⠟⠃⠀⠀⠀⠀⠈⠉⠉⠩⣿⣿⣯⠉⣹⡏⣩⣤⡄⠀⣶⠀⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠰⣿⣿⣿⡄⠸⠛⠁⠀⠀⠀⠀⠀⠀⠈⢿⡆⢸⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠈⣿⠀⢸⣷⣿⡏⠀⠀⢻⠇⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠐⠯⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠘⠿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢐⣌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠠⣦⡀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⡇⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢉⡽⠘⢋⣿⣿⣼⣟⣿⣿⣿⣿⣿⣿⡇⣼⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣲⣿⣿⣿⣿⣿⣼⣽⣫⡽⣿⣻⢿⢟⠿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡿⢳⢂⡧⡿⣧⠤⣀⠤⠀⡤⠀⢰⣄⡆⡆⠤⢤⠤⡤⣤⣤⢠⢤⢴⢶⢄⣤⣠⠄⡤⠀⢰⠒⡆⠤⡄⠀⣤⣠⡤⣆⠤⡆⠀⢒⡂⣤⡠⣀⠄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⡟⢾⠁⡇⠃⠛⠀⠉⠦⠀⠊⠀⠘⠀⠁⠃⠓⠘⠀⠓⠁⠚⠘⠊⠘⠘⠊⠒⠘⠀⠒⠀⠘⠒⠁⠑⠁⠈⠚⢋⢣⡃⠂⠁⠀⢠⣡⡄⠡⠍⠠⢭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠻⠿⠿⠿⠛⠛⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣴⣶⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⢟⣿⣻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡰⣿⠋⠀⠀⠀⠈⠑⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⡿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢰⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠶⠤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣿⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⣴⣿⣿⣿⣿⣿⣿⣿⡇⠀⠨⠏⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠀⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢸⣇⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠴⠁⠀⠀⠀⠠⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⡩⢀⣴⣶⣶⣶⣶⣤⣄⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣹⣿⣿⠛⠉⠀⠀⠀⠀⠀⠁⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢪⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢠⢀⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠰⠤⠿⣿⡟⢁⠂⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢨⡎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢋⣾⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠠⠀⠠⢀⣐⣀⣶⡆⠆⠀⠀⠀⠀⠀⢸⠇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣭⣭⠁⠀⠛⠷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠆⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠿⣿⣿⣿⣷⡀⡀⠀⢀⣀⡀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣾⣿⠇⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣴⣢⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣂⢠⣀⣀⣼⣿⣿⣮⣵⣦⣠⣐⣲⣵⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣾⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠛⠋⠀⢨⣿⠿⢿⣿⣿⡿⠟⠃⠀⠀⠀⠀⠈⠉⠉⠩⣿⣿⣯⠉⣹⡏⣩⣤⠄⠀⡶⠀⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡄⠸⠟⠉⠀⠀⠀⠀⠀⠀⠈⢿⡆⢸⣿⡿⠁⠀⡀⠀⠀⠀⠀⠀⠀⠀⢀⠈⠘⢿⠀⢸⣷⡿⡏⠀⠀⠙⠁⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠁⠘⠿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠠⣮⡀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⡀⣾⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⡇⠀⠀⠀⠀⠀⠁⠂⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢉⡽⠘⣋⣿⣿⣼⣟⣿⣿⣿⣿⣽⣿⡏⣾⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣲⣿⣿⣿⣿⣿⣼⣽⣫⡽⣿⣻⢿⣿⠿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡿⣷⢒⡧⡏⣧⡤⣀⠄⢀⠤⠀⢰⣀⡆⡆⡤⢠⠄⡤⣀⠤⢠⢄⢴⢶⢄⠤⣠⠄⠤⠀⢰⠒⡄⡠⡀⠀⠤⣀⡤⡀⠄⡆⠀⣒⠀⠤⡠⢀⠄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⡗⢺⠁⡇⠃⠛⠀⠋⠲⠐⠚⠀⠘⠉⠃⠃⠒⠚⠀⠓⠓⠚⠘⠚⠘⠘⠊⠒⠘⠀⠚⠀⠘⠒⠁⠓⠃⠈⢓⢛⢣⡋⠒⠁⠀⢲⣡⡗⠡⠍⠠⢍⣭⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣯⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠻⠿⠿⠿⠛⠛⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣴⣶⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⣟⣿⣻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡰⣿⠋⠀⠀⠀⠈⠑⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣰⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠶⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⣷⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣲⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠨⠋⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠀⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠴⠅⠀⠀⠀⠀⠤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⡩⢂⣴⣶⣿⣶⣷⣦⣄⡈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣹⣿⣿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⢨⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢠⢀⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠿⣿⡟⢁⠂⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⢀⡎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢋⣾⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⢀⣐⣠⣶⠆⠆⠀⠀⠀⠀⠀⢰⠇⠰⠀⣿⣿⣿⣿⣿⣿⣿⣯⣭⡍⠀⠚⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠆⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠽⣿⣿⣿⣷⡀⡀⠀⢀⣀⡀⠀⢀⢀⣸⣿⣿⣿⣿⣿⣿⣿⣷⣶⡗⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣴⣢⣿⣇⠀⠀⠀⠀⠀⠀⠀⠠⢀⡂⣠⣀⣀⣼⣿⣿⣾⣵⣦⣠⣔⣲⣵⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠛⠋⠀⢠⣿⠿⢿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠈⠉⠉⠩⣿⣿⣯⠉⣽⡏⣩⡤⠄⠀⣶⠀⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⡄⠸⠛⠉⠀⠀⠀⠀⠀⠀⠀⢻⡆⢸⣿⡟⠁⠀⡀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠘⣿⠀⢸⣷⡿⠏⠀⠀⠻⠇⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠁⠘⠿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡂⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠠⣦⡀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⡀⣾⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⡇⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢉⣽⠙⣋⣿⣿⣼⣿⣿⣿⣿⣿⣽⣿⡧⣼⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣷⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣲⣿⣿⣿⣿⣿⣼⣽⣫⡽⡿⣻⢿⣟⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⢿⢋⡯⡻⣯⡩⢀⢀⢀⠀⠀⢰⣀⡆⡆⡨⢠⠁⡩⣉⠭⢉⢍⢽⢯⢌⢀⢀⠀⠀⠀⢰⠒⡄⡠⡉⠉⡭⣉⣩⡅⠀⡆⠀⣐⠀⠀⢠⢀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⡟⢺⠁⡗⠃⠛⠀⠋⠒⠐⠛⠀⠘⠉⠃⠃⠒⠚⠀⠒⠓⠛⠘⠚⠘⠘⠚⠛⠙⠀⠛⠀⠘⠒⠃⠓⠃⠐⢛⢛⠣⡋⠂⠁⠀⢠⣡⡍⠁⠉⠠⠉⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠛⠻⠿⠿⠿⠛⠛⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣴⣶⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⢟⣿⣻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡰⣿⠋⠀⠀⠀⠈⠑⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⢿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣸⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠶⠤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣿⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⣄⣸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠨⠋⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠀⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣐⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠴⠁⠀⠀⠀⠀⠠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⡑⢄⣴⣿⣿⣿⣿⣦⣤⡈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠀⣹⣿⣿⠛⠉⠀⠀⠀⠀⠀⠁⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⢪⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢠⢀⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠵⠿⣿⡟⢀⠂⠀⠀⠀⠀⠀⡀⢀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢠⡎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢋⣾⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⢀⣐⣢⣶⡆⠆⠀⠀⠀⠀⠀⠸⠇⠐⠀⣿⣿⣿⣿⣿⣿⣿⣿⣶⡁⠀⠙⠓⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠆⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠽⣿⣿⣿⣷⡀⡀⠀⢀⣀⡀⠀⢀⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣾⠇⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣴⣢⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠄⠂⣠⣀⣀⣼⣿⣿⣾⣵⣦⣠⣔⣲⣵⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠟⠛⠋⠀⠰⣿⠿⢿⣿⣿⣿⠟⠃⠀⠀⠀⠀⠈⠉⠉⠩⣿⣿⣯⠉⣹⡏⣩⡤⠀⠀⣶⠀⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠰⣿⣿⣿⡄⠸⠛⠁⠀⠀⠀⠀⠀⠀⠈⢿⡆⢸⣿⡟⠁⠀⡀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠈⢿⠀⢸⣷⣿⡧⠀⠀⢻⠃⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠟⠻⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠘⠧⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠠⣦⡀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⡀⣾⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⡇⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢉⡭⠙⢋⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⡧⣾⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣷⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣲⣿⣿⣿⣿⣿⣼⣵⣫⣽⡿⣻⢿⡿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⢫⢉⣏⣯⣋⣉⠀⣀⢀⢀⠀⢠⣀⡄⡂⣉⢉⡉⣉⣉⣉⢉⣉⣹⢫⣉⣉⢉⡀⣀⠀⢠⠠⡄⣈⡉⠉⣉⣉⣉⡇⣀⡄⠀⡄⠀⣀⢀⠀⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶
⣿⣿⡟⢾⠁⡗⠇⠛⠀⠛⣐⠐⠙⠀⠘⠉⠃⠃⠂⠘⠀⠂⠓⠙⠘⠘⠘⠘⠘⠋⠙⠀⠙⠀⠘⠐⠃⠃⠃⠐⠛⢛⢣⡏⠂⠁⠀⢠⣣⡍⠁⠋⠠⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣯⣿⢽⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠲⠶⠷⠶⠒⠒⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣴⣶⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⢟⣿⣻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡰⣿⠋⠀⠀⠀⠈⠑⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣰⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠶⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⣿⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣿⣷⣿⣿⣿⣿⣿⣿⡇⠀⡨⠋⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠀⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠴⠁⠀⠀⠀⠠⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣵⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⡑⢀⣴⣶⣶⣶⣶⣤⣀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⣹⣿⣿⠛⠉⠀⠀⠀⠀⠀⠁⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⢪⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢠⢀⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠷⠿⣿⡟⢁⠂⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢨⡎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢋⣾⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⢀⣐⣠⣶⡆⠆⠀⠀⠀⠀⠀⢸⠇⠠⠀⣿⣿⣿⣿⣿⣿⣿⣻⣏⠃⠀⠛⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠆⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠿⣿⣿⣿⣷⡀⡀⠀⢀⣀⡀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣽⡇⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣴⣢⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⣠⣀⣀⣼⣿⣿⣾⣵⣦⣠⣔⣲⣵⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠛⠋⠀⠈⣿⠿⢿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠈⠉⠉⠩⣿⣿⣯⠉⣽⡏⣩⣤⠀⠀⣶⠀⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣿⣿⡄⠸⠟⠉⠀⠀⠀⠀⠀⠀⠀⢿⡆⢸⣿⡟⠁⠀⡀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠘⢿⠀⢸⣷⣿⡇⠀⠀⢚⠃⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠐⠻⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠸⠯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠀⠀⠀⠀⠀⠀⠀⠀⠠⣦⡀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠀⠀⠀⠀⠀⠀⠀⠀⡀⣺⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⡇⠀⠀⠀⠀⠀⠁⠂⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢉⡭⠙⣋⣿⣿⣼⣟⣿⣿⣿⣿⣿⣿⡏⣾⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣲⣿⣿⣿⣿⣿⣾⣽⣫⡽⣿⣻⢿⣿⠿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡿⣿⢭⣍⡻⣏⣉⠁⣀⠀⣀⠀⢠⡀⡌⡍⣉⣉⣉⣉⣉⣉⢉⣉⣩⣩⡉⣉⢉⡁⣀⠀⢠⠤⡄⣈⡉⠉⣉⣉⣉⡃⣀⡄⠀⡤⠄⣀⢀⠈⡉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⡇⢿⠁⡇⠇⠿⠀⠛⣄⠀⠕⠀⠸⠉⠃⠇⠢⠸⠀⠢⠃⠽⠘⠜⠸⠘⠜⠭⠹⠀⠍⠀⠸⠄⠃⠣⠃⠐⢿⢿⢧⡏⠄⠁⠀⢨⣣⡍⢁⡋⢀⢩⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⣿⣿⣾⣿⣷⣶⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠲⠶⠶⠶⠒⠒⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣾⣾⣿⣾⣿⡇⠀⠀⠀⠀⣴⣶⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⢟⣿⣻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣰⣿⠋⠀⠀⠀⠈⠙⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣸⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠶⠤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢄⢂⣼⣿⣿⣿⣿⣿⣿⣿⡇⠀⠨⠋⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠀⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣵⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠴⠁⠀⠀⠀⠠⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣳⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⢑⣠⣶⣶⣶⣶⣶⣤⣀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡈⣹⣿⣿⠛⠉⠀⠀⠀⠀⠐⠁⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢎⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢣⠘⣿⣿⡟⢠⢀⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠿⠿⣿⡟⢁⠂⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣸⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢋⣾⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⢀⣐⣢⣶⡆⠆⠀⠀⠀⠀⠀⢸⠇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣯⣭⠃⠀⠛⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠆⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⣿⣷⡀⡀⠀⢀⣀⡀⠀⢀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣾⣿⠇⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣴⣢⣿⣇⠀⠀⠀⠀⠀⠀⠀⠴⠀⣁⣤⣀⣀⣼⣿⣿⣮⣵⣦⣤⣔⣲⣵⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠛⠋⠀⢠⣿⠿⢿⣻⣿⡻⠟⠃⠀⠀⠀⠀⠈⠉⠉⠩⣿⣿⣯⠉⣽⡏⣩⣤⡀⠀⣶⠀⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡄⠸⠟⠉⠀⠀⠀⠀⠀⠀⠀⢿⡆⢸⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠈⠸⢿⠀⢸⣷⣿⡇⠃⠀⠻⠃⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠁⠘⠿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⢋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠐⡁⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠠⣦⡀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠀⠀⠀⠀⠀⠀⠀⠀⡀⣺⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⡇⠀⠀⠀⠀⠀⠁⠂⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢩⡽⠙⣋⣿⣿⣼⣟⣿⣿⣿⣿⣿⣿⡯⣾⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣲⣿⣿⣿⣿⣿⣾⣽⣻⡽⣿⣻⢿⣿⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⢯⢭⣍⡫⣍⣉⠁⣀⠀⣀⠀⢠⠀⡌⡍⣉⢉⣉⣉⠉⣉⢉⡉⣩⣭⡉⣉⢉⡁⣀⠀⢠⠤⡀⣈⠉⠉⣉⢉⣉⠅⣀⡄⠀⠤⠀⣀⢀⠈⡉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⡟⢻⠁⡇⠇⠿⠀⠟⣤⠨⠴⠀⠸⠙⠇⠇⠥⠼⠀⠧⠫⠵⠸⠼⠸⠸⠜⠤⠹⠀⠴⠀⠸⠤⠃⠥⠇⠐⠯⣿⠧⡟⠤⠁⠀⢭⣦⡤⠁⡚⠠⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⣷⣶⣶⣶⣶⣶⣶⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠲⠶⠶⠶⠒⠒⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣾⣶⣾⣿⡆⠀⠀⠀⠀⣴⣶⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⢟⣿⣻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡰⣿⠋⠀⠀⠀⠈⠑⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣰⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠶⠤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠨⠋⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠀⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣥⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠴⠁⠀⠀⠀⠠⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⠑⣠⣶⣿⣶⣿⣶⣤⣄⠈⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠈⣹⣿⣿⠛⠉⠀⠀⠀⠀⠐⠁⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢊⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢠⢀⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠷⠿⣿⡟⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣸⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢋⣾⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢀⣐⣠⣶⡆⠆⠀⠀⠀⠀⠀⠸⠇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣭⣭⡁⠀⠛⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠆⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠽⣿⣿⣿⣷⡀⡀⠀⢀⣀⡀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣾⣾⠇⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣴⣢⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⣤⣀⣀⣬⣿⣿⣾⣵⣦⣠⣔⣲⣵⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⣾⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠛⠋⠀⢸⣿⠿⢿⣻⣿⣻⠟⠋⠀⠀⠀⠀⠈⠉⠉⠩⣿⣿⣯⠉⣹⡏⣩⡄⡄⠀⣶⠀⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⡄⠸⠟⠉⠀⠀⠀⠀⠀⠀⠈⢿⡆⢸⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠈⠸⢿⠀⢸⣷⣯⡏⠀⠀⢸⠇⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠁⠘⠿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡛⠀⠀⠀⠀⠀⠀⠀⠀⠠⣦⡀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⡀⣾⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢉⡭⠙⣋⣿⣿⣼⣟⣿⣿⣿⣿⣿⣿⡏⣾⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣷⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣲⣿⣿⣿⣿⣿⣾⣽⣫⡽⣿⣻⢿⣿⠿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⢿⢿⣟⠛⣟⢉⠁⡀⠀⡀⠀⢠⠀⡌⡍⢉⢉⡉⢉⠙⣉⠙⡉⣩⣭⡉⣉⢉⠁⣀⠀⢠⠤⡀⢈⠉⠋⣙⠛⣛⠃⠀⡄⠀⠤⠀⢀⢀⠈⡉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⡗⢺⠁⡇⠇⠿⠁⠟⢤⠨⠴⠀⠸⠛⠇⠇⠥⠼⠀⠥⠯⠶⠸⠼⠸⠸⠜⠶⠹⠀⠴⠀⠸⠤⠇⠥⠇⠐⢾⢿⢧⡗⠤⠁⠀⢩⣦⡤⠉⡘⠠⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⣷⣶⣶⣶⣶⣶⣶⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠲⠶⠶⠶⠒⠒⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣾⣶⣾⣿⡆⠀⠀⠀⠀⣴⣶⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⢟⣿⣻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡰⣿⠋⠀⠀⠀⠈⠑⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣰⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠶⠤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣽⣿⣿⣿⣿⣿⣿⣿⡇⠀⠨⠋⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠀⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠔⠁⠀⠀⠀⠠⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢛⠕⣠⣶⣾⣾⣿⣶⣤⣄⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠈⣹⣿⣿⠛⠉⠀⠀⠀⠀⠐⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢠⢀⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠷⠿⣿⡟⢁⠂⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣸⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢋⣾⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢀⣐⣢⣶⡆⠆⠀⠀⠀⠀⠀⠼⠇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣭⣭⠁⠀⠛⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠆⣿⡇⠀⠀⠀⠀⠀⠀⠀⠠⠀⠂⠾⣿⣿⣿⣷⡀⡀⠀⢀⣀⡀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣶⣾⠇⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣴⣢⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣂⣤⣀⣀⣬⣿⣿⣾⣵⣦⣠⣔⣲⣵⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠛⠉⠀⢸⣿⠿⢿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠈⠉⠉⠩⣿⣿⣯⠉⣽⡏⣩⡤⠄⠀⣶⠂⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠐⠄⠐⣿⣿⣿⡄⠸⠟⠉⠀⠀⠀⠀⠀⠀⠘⣿⡆⢸⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢘⢿⠀⢹⣷⣿⡏⠀⠀⢻⠁⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠁⠸⠷⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡀⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⡓⠀⠀⠀⠀⠀⠀⠀⠀⠠⣦⡀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢿⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⡇⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢉⡭⠙⣋⣿⣿⣼⣟⣿⣿⣿⣿⣿⣿⡏⣾⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣲⣿⣿⣿⣿⣿⣾⣽⣫⡽⣿⣻⢿⣿⠿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⢿⡟⠛⠟⠛⠁⠀⠀⠀⠀⢀⠀⡈⠍⠙⠙⠋⠛⠛⠛⠛⠛⢻⢏⠋⠋⠉⠁⠀⠀⢀⠀⡀⠈⠛⠛⠛⠛⡛⠃⠀⡄⠀⠀⠀⠀⠀⠈⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⡏⠾⠁⡏⠇⠿⠉⠾⠬⠨⠲⠀⠸⠛⠇⠇⠅⠸⠁⠥⠯⠿⠸⠼⠸⠸⠸⠾⠺⠀⠳⠀⠸⠠⠇⠥⠇⠠⠿⢿⣯⡗⠍⠁⠀⢩⣦⡮⠈⡜⠠⢩⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣯⣿⢽⣿⣿⣿
⣿⣿⣷⣶⣶⣶⣶⣶⣶⣄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠦⠤⠴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣾⣶⣾⣿⡆⠀⠀⠀⠀⣤⣤⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⢟⣿⣻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡰⣿⠋⠀⠀⠀⠈⠑⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢰⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠶⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⣿⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠨⠋⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠀⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢐⣡⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠴⠁⠀⠀⠀⠀⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢠⣥⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⢑⣀⣴⣾⣶⣿⣶⣤⣄⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⠛⠉⠀⠀⠀⠀⠀⠁⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢪⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢠⢀⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠿⠿⣿⡟⢁⠂⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣸⡞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢋⣾⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⠀⣐⣠⣶⡆⠆⠀⠀⠀⠀⠀⢸⠇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣭⣭⡁⠀⠛⠇⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠆⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠿⣿⣿⣿⣷⡀⡀⠀⢀⣀⡀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣶⣾⠇⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣴⣢⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⣤⣀⣀⣼⣿⣿⣾⣵⣦⣠⣔⣲⣵⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠛⠋⠀⢠⣿⠿⢿⣿⣿⣿⠟⠃⠀⠀⠀⠀⠈⠉⠉⠩⣿⣿⣯⠉⣽⡏⣩⣄⠄⠀⢶⠀⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡄⠸⠟⠉⠀⠀⠀⠀⠀⠀⠀⢿⡆⢸⣿⡟⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠙⣿⠀⢸⣷⣿⡟⠀⠀⠻⠁⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠸⠯⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠚⠀⠀⠀⠀⠀⠀⠀⠀⠠⣦⡀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⡀⣺⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⡇⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢉⡭⠙⣋⣿⣿⣼⣟⣿⣿⣿⣿⣿⣿⡏⣾⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣲⣿⣿⣿⣿⣿⣾⣽⣫⡽⣿⣻⢿⣿⠿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣻⣛⡿⠛⡟⠛⠃⠀⠀⠀⠀⢀⠀⡙⡟⠛⠛⠛⠛⠛⠛⠛⠛⢛⢟⠛⠛⠋⠃⠀⠀⢀⢒⡀⠘⠛⠛⠛⠛⡛⠃⠀⡀⠀⡀⠀⠀⠀⠚⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⡏⢿⠁⡏⡇⣿⠉⠶⠉⠈⠻⠀⠸⠓⠇⡇⢍⢹⠁⢍⠯⡻⠸⡹⢹⠹⡹⢛⠺⠁⠛⠀⠸⡀⠇⢍⠇⠠⣿⣿⣯⡗⠉⠁⠀⢡⣦⡿⠈⠔⠡⢭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣯⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⣷⣶⣶⣶⣶⣶⣶⣄⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⣾⣶⣾⣿⡆⠀⠀⠀⠀⣤⣤⠄⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⢟⣿⣻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡰⣿⠋⠀⠀⠀⠈⠑⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢰⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠶⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⣷⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣽⣿⣿⣿⣿⣿⣿⣿⡇⠀⠨⠋⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠀⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣮⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠴⠁⠀⠀⠀⠀⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣥⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢁⣀⣴⣶⣶⣿⣶⣤⣄⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠈⣹⣿⣿⠛⠉⠀⠀⠀⠀⠀⠁⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢪⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢠⢀⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠴⠿⣿⡟⢁⠂⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢨⡎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢋⣾⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⢀⣐⣀⣶⡂⠆⠀⠀⠀⠀⠀⢸⠇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣭⣭⠁⠀⠛⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠆⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠾⣿⣿⣿⣷⡀⡀⠀⢀⣀⡀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣾⣾⠇⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣴⣢⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣂⣠⣀⣀⣬⣿⣿⣾⣵⣦⣠⣐⣲⣵⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⠀⢿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠟⠋⠀⢸⣿⠿⢿⣻⣿⡿⠟⠋⠀⠀⠀⠀⠈⠉⠉⠩⣿⣿⣯⠉⣽⡏⣩⣤⠀⠀⣶⡀⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣿⣿⡄⢸⠿⠋⠀⠀⠀⠀⠀⠀⠈⢿⡆⢸⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠸⢿⠀⢸⣷⡿⡇⠀⠀⠹⠁⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠸⠿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠚⠀⠀⠀⠀⠀⠀⠀⠀⠠⣦⡀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⡇⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢉⡭⠙⣋⣿⣿⣼⣟⣿⣿⣿⣿⣿⣿⡏⣼⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣲⣿⣿⣿⣿⣿⣾⣽⣫⡽⣿⣻⢿⣿⠿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣛⡛⣟⡛⠛⠃⠀⠀⠀⠀⢀⠀⡘⡛⠛⠛⠛⠛⠛⠛⠛⠛⢛⣛⠛⠛⠋⠃⠀⠀⢀⣒⠀⠘⠛⠛⠛⠛⡛⠇⠀⡀⠀⣀⡀⠀⠀⠚⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⡟⢿⠁⡟⡇⣿⠉⡶⣉⠐⣩⠀⢸⠲⡇⡇⣏⢸⠉⣏⠖⣫⢸⣹⢹⢹⡱⣛⢺⠁⣋⠀⢸⣀⠇⣏⡆⠠⣟⣿⣯⡶⡉⠁⠀⣰⣤⣍⠈⠤⠡⢍⣭⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣯⣿⢽⣿⣿⣿
⣿⣿⣧⣧⣶⣤⣤⣤⣤⣄⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣬⣦⣴⣿⡄⠀⠀⠀⠀⣤⣤⠄⠁⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⢟⣿⣻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣰⣿⠋⠀⠀⠀⠈⠙⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠶⠤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣿⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣂⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠨⠋⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠀⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠴⠁⠀⠀⠀⠀⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣭⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⠑⣠⣶⣶⣶⣷⣶⣤⣄⠈⢙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⣹⣿⣿⠛⠉⠀⠀⠀⠀⠀⠁⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⢪⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢣⠘⣿⣿⡟⢠⢀⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠽⠿⣿⡟⢁⠂⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣸⡎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢋⣾⣿⠀⠇⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⢀⣐⣂⣶⡆⠆⠀⠀⠀⠀⠀⢸⠇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣭⣭⡇⠀⠙⠇⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠆⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⣿⣿⣿⣷⡀⡀⠀⢀⣀⡀⠀⢀⢀⣸⣿⣿⣿⣿⣿⣿⣿⣶⣿⠃⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣴⣢⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠄⣃⣠⣀⣀⣬⣿⣿⣾⣵⣦⣤⣔⣲⣵⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⣛⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠟⠛⠁⠀⠠⣿⠿⢿⣿⣿⣿⠟⠃⠀⠀⠀⠀⠈⠉⠉⠩⣿⣿⣯⠉⣽⡏⣩⣤⠄⠀⣶⠄⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡄⢸⠟⠉⠀⠀⠀⠀⠀⠀⠀⠻⡆⢸⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠈⠹⣿⠀⢹⣷⣿⡧⠀⠀⢹⠃⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣓⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⢛⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠐⠃⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡉⠀⠀⠀⠀⠀⠀⠀⠀⠠⣦⡀⠀⠀⠀⠃⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⢀⣀⣏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⠀⠀⠀⠀⠀⠀⣀⠴⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⡇⠀⠀⠀⠀⠀⠁⠂⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢉⡽⠙⣋⣿⣿⣼⣟⣿⣿⣿⣿⣿⣿⡯⣾⣶⣶⣶⣶⣶⣾⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣲⣿⣿⣿⣿⣿⣾⣽⣻⡽⣿⣻⢿⣿⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣻⣛⡛⡛⡛⠛⠃⠀⠀⠀⠀⢀⠀⡘⡛⠛⠛⠛⠛⠛⠛⠛⠛⢛⣛⠛⠛⠋⠃⠀⠀⢀⣒⠀⠘⠛⠛⠛⠛⡛⠃⠀⡀⠀⣀⠀⠀⠀⠚⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⡟⢿⠡⡟⡇⣿⠉⡶⣁⢐⣩⠀⢸⠶⡇⡇⣋⣸⠁⣏⣖⣩⢸⣱⢹⢹⡱⣉⢺⠁⣩⠀⢸⣀⠇⣋⡆⢠⣝⣿⣯⡦⣁⠁⠀⣲⣤⣍⡈⡤⠡⠉⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⣧⣧⣶⣤⣤⣤⣤⣄⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣬⣬⣤⣼⣿⡄⠀⠀⠀⠀⣤⣤⠄⠁⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⢟⣿⣻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣰⣿⠋⠀⠀⠀⠈⠙⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣸⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠶⠤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠨⠋⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠀⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣨⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠴⠁⠀⠀⠀⠀⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⡩⢀⣴⣶⣶⣿⣶⣤⣄⡈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡈⣹⣿⣿⠛⠉⠀⠀⠀⠀⠀⠂⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⢢⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢣⠘⣿⣿⡟⢠⢀⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠤⠾⠿⣿⡟⢁⠂⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢠⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢋⣾⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⢀⣐⣀⣶⡆⠆⠀⠀⠀⠀⠀⠰⠇⠰⠀⣿⣿⣿⣿⣿⣿⣿⣯⣭⡁⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠆⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠿⣿⣿⣿⣷⡀⡀⠀⢀⣀⡠⠀⢀⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣾⠇⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣴⣢⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣂⣤⣀⣀⣬⣿⣿⣾⣵⣦⣤⣔⣲⣵⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠐⡿⢿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠋⠁⠀⣿⠿⢿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠉⠉⠩⣿⣿⣯⠉⣹⡏⣩⣤⠄⠀⣶⠀⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠰⣿⣿⣿⡄⢸⠟⠋⠀⠀⠀⠀⠀⠀⠀⠻⡆⢸⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠸⢿⠀⢸⣷⣿⡿⠀⠀⠿⠃⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠠⣦⡀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢿⠀⠀⠀⠀⠀⠀⠀⢠⡆⠚⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⡇⠀⠀⠀⠀⠀⠁⠂⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢉⡽⠘⣋⣿⣿⣼⣟⣿⣿⣿⣿⣿⣿⡏⣼⣶⣶⣶⣶⣶⣶⣾⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣲⣿⣿⣿⣿⣿⣾⣽⣻⡽⣿⣻⢿⣿⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡿⣿⡿⠿⠃⠀⠀⠀⠀⢀⠀⡘⡛⠻⠟⠿⠿⠿⠿⠿⠿⢿⡿⠟⠛⠋⠃⠀⠀⢀⡒⠀⠘⠿⠿⠟⠿⡿⠇⠀⡀⠀⢀⠀⠀⠀⠚⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⡟⢺⠁⡏⡇⣿⠛⡴⣐⢐⣤⠀⢸⠶⡇⡆⣊⣰⠀⣊⣖⣭⢰⣱⢸⢸⡱⣴⢰⠀⣤⠀⢸⣀⡇⣊⡆⢀⣾⣷⣿⡦⡀⠁⠀⢢⣤⣤⠀⡠⠠⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⣧⣧⣶⣦⣤⣤⣤⣄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣬⣤⣼⣿⡄⠀⠀⠀⠀⣠⣤⡄⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⢟⣿⣻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣰⣿⠋⠀⠀⠀⠈⠙⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣋⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠶⠤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣿⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠨⠋⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠀⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣥⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠴⠅⠀⠀⠀⠀⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⡫⢆⣴⣶⣶⣶⣶⣤⣀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠈⣹⣿⣿⠛⠉⠀⠀⠀⠀⠀⠂⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⢢⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢣⠘⣿⣿⡟⢠⢀⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠰⠿⠿⣿⡟⢁⠂⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⢠⡎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢋⣾⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⢀⣀⣀⣶⡆⠆⠀⠀⠀⠀⠀⢠⠇⠰⠀⣿⣿⣿⣿⣿⣿⣿⣿⣭⠃⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠆⣿⡇⠀⠀⠀⠀⠀⠀⠀⠠⠀⠂⠿⣿⣿⣿⣷⡀⡀⠀⢀⣀⡀⠐⢀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣾⣽⡇⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣴⣢⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣂⣠⣀⣀⣬⣿⣿⣾⣵⣦⣤⣔⣲⣵⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠟⠋⠁⠀⣿⠿⢿⣿⣿⣿⠟⠃⠀⠀⠀⠀⠀⠉⠉⠩⣿⣿⣯⠉⣽⡏⣡⣄⡄⠀⣶⠄⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⡄⢸⠟⠋⠀⠀⠀⠀⠀⠀⠀⠻⡆⢸⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠸⢿⠀⢸⣷⢿⡿⠀⠀⢟⠃⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢫⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠠⣦⡀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⢀⡄⠚⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⡇⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢉⡽⠙⣋⣿⣿⣼⣟⣿⣿⣿⣿⣿⣿⡧⣾⣶⣶⣶⣶⣶⣶⣶⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣷⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣲⣿⣿⣿⣿⣿⣾⣽⣻⡽⣿⣻⢿⣿⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡿⢿⡿⡿⡿⠿⠃⠀⠀⠀⠀⠀⠀⠙⡿⠿⠿⠿⠿⠿⠿⠿⠿⢿⡿⠿⠿⠯⠃⠀⠀⠀⠒⠀⠸⠿⠿⠿⠿⡿⠇⠀⠀⠀⠀⠀⠀⠠⠾⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶
⣿⣿⡟⢿⠁⡗⡇⣶⠓⣤⢒⣐⢶⠀⢸⠶⡇⡆⡒⢰⠂⡒⣖⢶⢰⢲⢺⢸⢲⡶⢴⠂⢶⠀⢸⢈⡇⡒⡆⢀⣾⣷⣶⡦⡂⠁⠀⢡⣤⣤⡀⡠⠄⢩⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⣧⣯⣶⣤⣥⣤⣤⣄⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣬⣥⣼⣿⡅⠀⠀⠀⠀⣀⣠⠐⠂⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⢟⣿⣻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣰⣿⠋⠀⠀⠀⠈⠙⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠶⠤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣷⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⢴⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠨⠏⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠀⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣨⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠤⠅⠀⠀⠀⠀⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣠⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⡩⢀⣴⣿⣿⣿⣷⣤⣄⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⠛⠉⠀⠀⠀⠀⠀⠂⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⢪⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢣⠘⣿⣿⡟⢠⢀⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠿⠿⣿⡟⢁⠂⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢰⡎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢋⣾⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠵⢀⣐⣀⣶⡆⠆⠀⠀⠀⠀⠀⢸⠇⠠⠀⣿⣿⣿⣿⣿⣿⣿⣭⣭⡁⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠆⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠹⣿⣿⣿⣷⡀⡀⠀⢀⣀⡀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣾⠇⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣴⣢⣿⣇⠀⠀⠀⠀⠀⠀⠀⠠⢄⣃⣤⣀⣀⣬⣿⣿⣾⣵⣦⣤⣔⣲⣵⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠟⠋⠀⢠⣿⠿⢿⣿⣿⣿⠟⠃⠀⠀⠀⠀⠀⠉⠉⠩⣿⣿⣯⠉⣽⡏⣩⡤⠄⠀⢶⠀⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⣿⣿⡄⢸⠟⠉⠀⠀⠀⠀⠀⠀⠀⠻⡆⢸⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢹⢿⠀⢸⣷⣿⡯⠀⠀⢻⠃⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠘⠻⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⢹⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠠⣦⡀⠀⠀⠀⠃⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⢿⠀⠀⠀⠀⠀⠀⠀⢠⡄⠚⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠦⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⡇⠀⠀⠀⠀⠀⠁⠂⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢉⡽⠘⣋⣿⣿⣼⣟⣿⣿⣿⣿⣿⣿⡯⣾⣶⣶⣶⣶⣶⣶⣶⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣲⣿⣿⣿⣿⣿⣾⣽⣻⡽⣿⣻⢿⣿⠿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡿⡿⢿⡿⡿⠿⠿⠃⠀⠀⠀⠀⠀⠀⠽⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠯⠧⠀⠀⠀⠒⠀⠸⠿⠿⠿⠿⡿⠇⠀⠀⠀⠀⠀⠀⠠⠾⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⡟⢿⠉⡗⡇⣷⠓⣤⠒⡠⢖⠀⢸⢦⡇⡇⡒⢲⠒⡖⡤⢖⢰⢲⢺⢻⢢⠶⢴⠂⠖⠀⢸⠉⡆⡖⡆⢀⣶⣷⣶⣦⠒⠁⠀⢩⣥⡶⠰⣄⠄⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⣇⣋⣞⣁⣁⣉⣀⣁⠛⠀⠉⠀⠈⠀⠁⠁⠉⠈⠀⠉⠀⠉⠈⠁⠈⠈⠁⠉⠈⠀⠉⠀⠈⠉⠀⣉⣀⣨⣭⣹⣛⡅⠁⠀⠀⠉⣀⣁⠐⠂⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⢟⣿⣻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣰⣿⠋⠀⠀⠀⠈⠙⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⠒⠶⠤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣷⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣤⣽⣿⣿⣿⣿⣿⣿⣿⡇⠀⠨⠏⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠀⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢨⣥⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡴⠅⠀⠀⠀⠀⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣲⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⢀⣴⣾⣾⣿⣷⣤⣄⡈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡈⠉⣹⣿⣿⠛⠁⠀⠀⠀⠀⢀⠊⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠰⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢣⠘⣿⣿⡟⢠⢀⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠿⠿⣿⡟⢁⠂⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢠⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢋⣾⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⢀⣐⣂⣶⡆⠆⠀⠀⠀⠀⠀⠀⠇⠰⠀⣿⣿⣿⣿⣿⣿⣿⣭⣍⡋⠀⠙⠻⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠆⣿⡇⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠿⣿⣿⣿⣷⡀⡀⠀⢀⣀⡀⠐⢀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣴⣢⣿⣇⠀⠀⠀⠀⠀⠀⠐⠀⠀⢀⣤⣀⣀⣬⣿⣿⣾⣵⣦⣤⣔⣲⣵⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠋⠁⠀⣿⠿⢿⣿⣿⣿⠟⠃⠀⠀⠀⠀⠀⠉⠉⠩⣿⣿⣯⠉⣽⡏⣩⡤⠀⠀⣶⠄⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢰⣿⣿⣿⡄⢸⠟⠋⠀⠀⠀⠀⠀⠀⠀⠻⡆⢸⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠙⢻⠀⢸⣷⣿⡏⠀⠀⢹⠃⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠓⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢩⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠠⣦⡀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠀⠀⠀⠀⠀⠀⠀⠀⡄⠚⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⡇⠀⠀⠀⠀⠀⠁⠂⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢩⡽⠙⣋⣿⣿⣼⣟⣿⣿⣿⣿⣿⣿⡧⣾⣶⣶⣶⣶⣶⣶⣶⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣷⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣲⣿⣿⣿⣿⣿⣾⣽⣻⡽⣿⣻⢿⣿⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⠿⢿⡿⠿⠿⠿⠃⠀⠀⠀⠀⠀⠀⠸⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠧⠀⠀⠀⠒⠀⠸⠿⠿⠿⠿⡿⠇⠀⠀⠀⠀⠀⠀⠰⠾⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶
⣿⣿⡟⢿⠩⡗⡆⣷⠒⣤⠒⠠⢒⠀⢸⢤⡇⡇⠖⢰⠒⡖⡤⢒⢰⢢⢺⢻⢢⠒⢴⠂⢒⠀⢸⠉⡆⡖⡄⢀⡾⣥⣶⣤⠂⠁⠀⢭⣤⡄⠠⣄⠄⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⣇⣋⣞⣡⣁⣉⣀⣁⠛⠉⠉⠀⠈⠀⠁⠁⠉⠉⠀⠉⠈⠉⠈⠉⠈⠈⠁⠉⠈⠀⠉⠀⠈⠉⠀⣉⣁⣈⣉⣹⣻⡅⠉⠀⠀⠉⣀⣉⠀⠂⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⢟⣿⣻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣰⣿⠋⠀⠀⠀⠈⠙⠒⠦⢤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⢸⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠶⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠨⠋⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠀⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⣰⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠤⠅⠀⠀⠀⠀⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⢀⣴⣾⣾⣿⣷⣦⣤⡈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣹⣿⣿⠛⠉⠀⠀⠀⠀⢀⠊⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⢠⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢠⢁⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠵⠿⣿⡟⢁⠂⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢠⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢃⠸⠟⢠⢃⣾⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⢀⣐⣠⣶⡆⠆⠀⠀⠀⠀⠀⢰⠇⠰⠀⣿⣿⣿⣿⣿⣿⣿⣭⣭⡋⠀⠙⠻⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠆⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠿⣿⣿⣿⣷⡀⡀⠀⢀⣀⡀⠀⢀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣾⠇⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣴⣢⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣂⣠⣀⣀⣼⣿⣿⣾⣵⣦⣤⣐⣲⣵⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⠀⣿⣻⣿⣿⣿⣿⡿⣿⠿⠿⠿⠿⠿⠋⠁⠀⣿⠿⢿⣿⣿⣿⠟⠃⠀⠀⠀⠀⠀⠉⠉⠩⣿⢿⣯⠉⣽⡏⣩⡄⠀⠀⣶⠀⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢰⣿⣿⣿⡄⢸⠟⠋⠀⠀⠀⠀⠀⠀⠀⠻⡆⢸⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢘⢿⠀⢸⣷⡿⡯⠀⠀⢹⠃⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠁⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠠⣦⡀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⡄⠚⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⡇⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡏⢉⡽⠘⣛⣿⣿⣼⣿⣿⣿⣿⣿⣽⣿⡇⣼⣶⣶⣶⣶⣶⣶⣶⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣖⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣶⣿⣿⣿⣿⣾⣼⣶⣿⣽⣿⣻⢿⣿⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⠀⠀⠀⠀⠀⠸⠿⠿⠿⠿⠿⠿⢿⠿⠿⠿⠿⠿⠿⠿⠧⠀⠀⠀⠒⠀⠸⡿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠰⠾⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⡟⢿⠉⡗⡅⣷⠔⣤⠂⠠⣂⠀⢸⣤⡇⡇⠔⢰⠀⠔⡤⣒⢠⢢⢺⢻⢢⣒⢰⠀⢒⠀⢸⠉⡆⠔⡄⢀⣚⣥⣶⣄⠀⠁⠀⢬⣠⣄⠠⣄⠠⢩⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⣇⣛⣖⣡⣁⣉⣀⣁⠙⠉⠉⠀⠈⠀⠁⠁⠉⠈⠀⠉⠉⠉⠈⠉⠈⠈⠁⠉⠈⠀⠉⠀⠈⠉⠁⣉⣁⣨⣉⣹⣏⡅⠉⠀⠀⠀⣀⣈⠀⠂⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⢟⣿⣻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣰⣿⠋⠀⠀⠀⠈⠙⠒⠦⢤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣛⣊⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⢸⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠶⠤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣿⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢐⣼⣿⣿⣿⣿⣿⣿⣿⡇⠀⠨⠋⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠀⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢨⡥⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡴⠅⠀⠀⠀⠀⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⢀⣴⣾⣿⣿⣶⣦⣤⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣹⣿⣿⠛⠉⠀⠀⠀⠀⢀⠊⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⢢⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢠⢁⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠿⠿⣿⡟⢁⠂⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢠⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢃⠸⠟⢠⢃⣾⣿⠀⠇⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⢀⣐⣀⣶⡆⠆⠀⠀⠀⠀⠀⢠⠇⠐⠀⣿⣿⣿⣿⣿⣿⣿⣭⣝⡇⠀⠙⠻⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠆⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠽⣿⣿⣿⣷⡀⡀⠀⢀⣀⡀⠀⢀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠄⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣃⣾⣿⣿⣿⣴⣢⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣂⣤⣀⣀⣼⣿⣿⣾⣵⣦⣤⣐⣲⣵⣿⠿⣿⣿⣿⣿⣟⣿⣿⣿⠏⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠐⠀⠿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠋⠁⠀⣿⠿⢿⣿⣿⣿⠟⠃⠀⠀⠀⠀⠀⠉⠉⠩⣿⣿⣯⠉⣽⡏⣩⡄⠀⠀⣶⠀⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⡄⢸⠟⠋⠀⠀⠀⠀⠀⠀⠀⠻⡆⢸⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠘⢿⠀⢸⣷⣿⠟⠀⠀⢻⠃⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠠⣦⡀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⡄⠚⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⡇⠀⠀⠀⠀⠀⠁⠂⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡟⢉⣽⠙⣛⣿⣿⣼⣿⣿⣿⣿⣿⣽⣿⡇⣼⣶⣶⣶⣶⣶⣶⣶⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣖⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣶⣿⣿⣿⣿⣾⣼⣾⣿⣽⣿⣻⢿⣿⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⠷⠀⠀⠐⠆⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⢿⣿⣿⣿⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢰⠀⡇⡄⣥⠤⣤⠤⡤⣤⠀⢸⣤⡇⡅⠄⢠⠄⠄⡤⣀⢠⢠⣸⣽⣿⣿⣿⣿⣄⠀⢰⠀⡆⡄⡄⠀⣤⡤⠤⣤⠌⡇⠈⢭⣭⣭⡩⣍⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰
⠀⠀⠀⠈⠀⠁⠁⠉⠀⠉⠽⠋⠉⠀⠈⠀⠁⠁⠁⠈⠀⠁⠉⠈⠈⢈⣸⣭⣿⣝⣿⣿⠈⠀⠈⠈⢁⣉⣁⠈⠉⠁⠀⠁⠁⠁⠀⠂⠷⢾⣶⣷⣶⣶⣶⣺⣟⣿⣿⣿⣻⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⢴⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⠀⠀⢠⣾⣿⡟⠁⠀⠀⠈⠙⠓⠲⠤⣄⣀⡀⠀⠈⠉⠙⠛⠿⢿⣿⣿⣿⣷⣿⣿⣽⢳⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣄⠙⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⢀⣴⣿⣿⠏⠀⠀⠀⠀⠀⡀⠀⠀⠀⠈⠉⠙⠛⠶⡦⣤⣀⡀⠀⠀⠉⠉⠛⠻⠿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣢⣿⡿⠃⠀⠀⠀⠀⠀⣾⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠑⠈⡙⢻⡇⠀⠀⠀⢀⡀⠀⠀⠉⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⣿⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠀⠀⠀⠀⠠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⢸⣿⣿⣶⣦⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣵⣴⣿⣿⣿⣿⣶⣤⣄⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⡛⣿⢛⢻⣿⠏⠀⠀⠀⠀⠀⠀⠀⠤⠊⣉⣉⣉⣉⣿⣿⡿⠋⠁⠀⠀⠀⠀⡐⠁⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠐⡞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣲⡿⢸⢺⣿⠀⠀⠀⠀⠀⠀⠀⠀⢴⢸⡴⣿⣿⣿⣿⠏⡴⡂⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢀⣾⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⡏⢸⢸⣿⣀⠀⠀⠀⠀⠀⢐⠈⣿⢸⠖⣀⣶⣶⣶⢱⠁⠃⠀⠀⠀⠀⣾⠆⣇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⡇⢸⢸⣿⠀⠀⠀⠀⠀⠁⣈⣼⡟⢸⠸⢿⣿⣿⣿⣦⢇⠀⠠⣀⣀⠤⠂⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣧⣾⣼⣿⣀⠀⠀⠀⠀⠀⣜⣿⣷⣾⣢⣄⣤⣤⣿⣿⣷⣿⣶⣤⣤⣶⣾⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⢸⣿⠿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠺⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠿⠟⠉⠀⢸⡿⣿⣿⣿⣿⣿⠛⠁⠀⠀⠀⠀⠈⠉⠉⣿⣿⣿⡍⢩⣿⢉⣭⣶⠀⢰⣶⠀⠀⠈⢰⣿⣷⡄⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢀⡀⢿⣦⠀⣾⣿⣿⣷⠀⡿⠟⠁⠀⠀⠀⠀⠀⠀⠘⢿⡇⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡟⣿⡇⠘⣿⣿⣿⣿⠀⢸⣿⠀⠀⢠⣈⠙⠻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠨⠤⣽⢿⠀⠿⠿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠛⢟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⣤⠀⢸⣿⡂⠀⢸⣿⣷⣦⡀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⣿⣿⣿⠠⢰⠀⡦⢰⠔⣶⢾⡾⠄⠾⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡀⢀⠀⠀⠀⠀⠀⠸⠀⠸⣿⣇⠀⠈⠻⠿⠿⢃⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⣿⣿⣿⣴⣿⣿⣷⣮⣟⡿⣷⣶⣶⣶⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠏⠀⠀⠀⠀⠀⠀⠀⠀⢴⣇⠀⠀⠀⠸⠠⠀⠀⠀⠀⠀⠒⠒⢻⡆⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⣿⣿⣿⣻⣛⣛⣛⣛⣛⣛⣚⣙⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢀⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⣿⣿⣿⣷⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⡿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⣿⠿⣿⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⠀⠀⠀⠀⠀⠈⠐⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣻⣮⣿⣿⣿⣿⣶⣾⣶⣶⣶⣶⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡟⣷⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣷⣿⣾⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈
⢿⣿⣿⣿⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣹⡏⣷⣶⠖⡦⡄⣦⠤⣀⠤⠀⡤⠀⢰⣄⡆⡆⠤⢤⠄⠤⡀⡤⢠⢤⢴⢶⢄⣤⣠⠄⡤⠀⢰⠒⡆⡤⡄⠀⣤⡀⠤⣀⠤⠀⠀⢢⣠⣤⠠⡄⠠⢄⡠⠠⡆⢰⣄⣲⣆⣴⣦⣶⣖⢶⡖⣶⢴⡆⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⡇⠝⠀⠃⠃⠋⠀⠉⠦⠀⠊⠀⠘⠈⠁⠃⠓⠘⠀⠓⠁⠚⠈⠊⠘⠘⠊⠒⠘⠀⠒⠀⠘⠒⠁⠓⠁⠀⠒⠃⠀⠋⠒⠂⠀⠒⠁⣒⠢⠇⠀⢰⡂⢄⡿⢰⠄⡼⡓⣺⣮⣿⢹⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀
⣟⣽⣱⣗⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡦⣶⣖⣿⡁⢷⢚⡿⡛⣏⢸⣧⣾⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⡫⠋⣓⢨⠁⠊⢁⢨⣠⡻⢼⢟⣞⣿⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠿⣿⣿⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣟⣿⡿⣻⣭⣹⣐⣿⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠣⣉⡁⡤⢀⠄⠑⡯⢨⠁⢍⠀⣺⡄⣿⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠉⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢃⣁⢘⠀⢀⠁⢘⠀⡡⠀⢘⠡⣷⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀
⣭⣿⣶⣦⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠁⠈⠄⠀⡀⠀⠀⠀⠈⢄⠂⡁⢸⡅⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢂⠀⠀⠀⠀⠈⠀⢀⠀⢀⠀⡏⠘⠅⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡆⠈⠀⠀⠀⠀⠀⠁⠐⢈⠀⠱⠘⠂⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠰⠁⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀
⡿⠿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣕⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢰⣿⣶⡄⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠯⣹⣞⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠟⠿⢿⠿⠽⠛⢨⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡈⠙⠿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⣿⣗⢹⡇⠐⠘⠙⠛⠻⠛⠛⠛⠻⢙⠋⠛⠛⠙⠉⠛⠙⠛⠋⠋⠘⠋⠉⠉⠈⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣷⣦⠈⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣟⣿⡫⣸⡄⠩⠁⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠻⠿⠿⢁⣼⡇⠀⢀⠀⠄⢰⠄⡦⠀⠀⠄⢸⡷⣿⣿⢽⡇⡒⠀⢀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣗⣴⣶⣶⣶⣦⣖⠶⣶⣶⣶⣾⡿⣹⣷⣸⣗⣄⡄⡐⠀⠀⠂⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣻⣟⣛⣛⣛⣛⣛⣛⣛⣒⢙⠛⢿⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣷⣶⣶⣴⣴⣶⣦⣤⣤⣦⣤⣤⣤⣄⣠⣄⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠆⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀
⣿⠿⣿⣿⣿⡏⠛⠟⠛⢙⢻⡟⠹⢀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣽⣬⣯⡄⠽⡄⠀⠀⠀⠀⠀⠀⠀⠤⠂⡑⠰⡂⠀⠀⠀⠀⠀⠀⠀⠀
⠃⢀⡉⠛⠛⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⢿⢿⡟⣿⢞⡛⢚⣷⣿⡁⢀⡀⠀⠀⠀⢸⣷⣾⣿⣶⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠰⣩⣽⠟⡒⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠁⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠈⠁⠁⠁⠈⠀⠈⠈⠉⠁⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠐⢲⠂⡦⡀⣦⠤⣀⠤⣄⡤⠀⢰⣄⡆⡆⡤⢠⠤⡤⣀⡤⢠⢄⢴⢶⢄⣤⣠⠄⡤⠀⢰⠒⡄⡤⡀⠀⣤⡀⠤⣀⠄⠀⠀⢲⣠⣤⡠⡄⢠⠀⣤⢰⣶⣶⣶⣶⣶⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠘⠀⠃⠃⠛⠀⠋⠶⠓⠚⠀⠘⠉⠃⠃⠓⠘⠀⠓⠁⠚⠘⠚⠘⠘⠊⠒⠘⠀⠚⠀⠘⠒⠁⠓⠁⠀⠒⠃⣀⣋⡒⠂⠐⠒⠃⠒⠢⠏⠀⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣿⣿⣿⣾⣿⣿⣿⣿⣿⣽⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣽⣥⣿⣿⣷⣽⣿⣿⣿⣿⣽⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣴⣿⢶⣷⣾⣿⣿⣿⣿⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣷⣾⣿⡴⣗⢿⡿⣿⣿⢾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡵⣿⠉⠻⢻⡿⢺⣿⢽⡿⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠳⡗⢗⣻⠛⡅⢺⡛⠻⢟⢿⠻⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⡒⡚⡚⣳⢘⠓⢓⠙⢻⢟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣉⣫⠀⠅⢀⣊⡱⢀⠋⠫⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣮⠀⣑⠈⠀⢡⠃⢠⢀⠘⡀⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠁⡁⡀⠀⡀⠂⠨⠁⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣿⣦⣀⠀⠀⢠⠀⠀⢄⢼⡀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣻⣿⢿⣿⣿⣿⣿⡿⣿⢿⡿⣿⣿⣿⣯⢿⣿⣿⣝⣯⣿⢿⠩⡿⠝⣍⢏⡧⢼⠐⡩⠀⢸⠀⣻⠙⠈⠠⠇⢐⠁⣐⠀⠮⣥⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣾⣿⣾⡧⢹⡷⣿⣌⢯⣥⡷⠠⣯⠲⠄⠠⠂⠸⠆⠠⠄⠄⠀⠀⠀⠀⠀⠀⠀⠀⠘⠂⠄⠀⠄⠀⠀⠀⠂⠀⠴⠠⠄⢜⣥⠞⠉⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢐⠀⡄⢰⣿⣿⣿⣿⣿⣿⣷⡼⡷⢼⠿⠧⠞⢾⠀⡞⠲⣌⡆⠁⠀⠄⠈⠀⠀⠀⠀⠀⢀⠀⠄⠀⠀⢀⡀⢀⠄⠂⠀⠈⠀⠂⢐⠂⠀⠂⢸⠅⠾⠧⣝⠟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣰⢖⣴⣶⣶⣶⣦⣿⣿⣿⣿⣿⣿⡿⣻⡿⣾⣾⢶⢖⠾⡒⣷⠔⡴⠄⠧⠼⠦⠤⠤⠤⠤⡴⢤⢼⡄⣀⢠⡀⣄⣖⣈⡀⣐⢀⣀⠀⠀⠀⠊⠢⠠⠸⡥⢲⠢⣾⣖⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢸⣋⣚⣛⣛⣛⣛⣛⣟⣛⣿⣝⣿⣿⢻⣿⣿⣿⣿⣿⣷⣿⣶⣿⣶⣶⣾⣶⣶⣶⣿⣧⣼⣦⣾⣰⣖⣀⣀⣀⣂⣈⣆⢀⠀⠀⠀⠐⠀⠢⠐⠓⢀⡐⣚⣛⠸⡶⢫⣿⡻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠈⠛⠿⠿⠿⠿⢟⢻⣿⣿⣿⣿⣿⢁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⣿⣽⢿⣿⡛⢈⡻⢃⡚⢹⡍⣿⡝⣻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡟⠋⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⢿⢿⡟⣿⢓⡛⢚⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠉⠉⠁⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠈⠁⠁⠁⠈⠀⠈⠈⠁⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠐⢲⠂⡦⡀⣂⠠⢀⠄⣄⠤⠀⢰⣀⡆⡆⡠⢠⠄⡠⣀⠤⢀⢄⢴⢶⢄⠤⣠⠄⠤⠀⢰⠒⡄⡠⡀⠀⠤⡀⡠⣀⠄⠀⠀⣰⣠⡤⠠⡄⠠⣤⣤⢰⣶⣶⣶⣶⣶⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠘⠀⠃⠃⠛⠀⠋⠲⠓⠚⠀⠘⠉⠃⠃⠒⠚⠀⠒⠓⠚⠘⠚⠘⠘⠊⠒⠘⠀⠚⠀⠘⠒⠃⠓⠃⠀⠓⠃⢀⣋⡒⠂⠐⠒⠃⠒⠂⠟⠀⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣷⣿⣿⣽⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢥⣿⡯⣽⡿⡿⣿⣿⣽⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣾⣿⣿⣵⢾⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢲⣿⡾⡿⣿⡿⣽⣿⣿⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡚⣿⢾⣟⢳⣏⣾⡿⣳⣳⣿⡷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣿⠾⡷⠂⡎⢻⣗⢺⣷⣾⣷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢯⡿⢁⡫⢚⡄⠘⡛⡾⣟⣿⣟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⠪⢟⢛⠏⢭⡅⢊⡙⡻⣟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣛⡉⡃⠰⠌⠨⠆⠀⣅⡙⢙⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢘⠙⢁⡀⠀⡇⢉⡋⢙⡀⢟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠉⢀⡀⠀⢠⠄⠉⡉⢠⣉⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣻⣿⣤⡀⠄⠀⠈⠀⡔⠄⡨⣈⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣽⣿⡿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⢿⣿⢿⡟⣿⣯⣿⡋⡯⠽⡼⢰⡍⣘⣉⠍⠅⠼⠀⢫⠀⠘⠀⠃⢒⣀⡉⣇⢼⠭⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣷⣿⡿⢶⣧⢻⣷⣿⢶⢾⣀⡞⠎⡴⠤⣥⢬⠁⠈⠄⠠⠀⠔⠀⠂⠀⠀⠀⠂⠀⠀⠸⠀⠂⠄⠈⠀⠠⠀⠔⢀⠄⠀⠢⠔⣢⣾⡉⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢐⠀⠄⢰⣿⣿⣿⣿⣿⣿⡷⣶⡦⢜⡦⠾⠹⢞⠀⣬⠼⡏⠄⠁⠠⠀⠀⠀⠀⠀⠀⠀⠨⠀⠀⠀⠀⡠⡁⠀⠀⢂⠀⢈⠀⠀⠀⠀⠠⠠⠐⡞⠢⠓⢲⠤⡯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣰⢖⣴⣶⣶⣶⣦⣿⣿⣿⣿⣿⣿⡿⣺⣿⣾⡶⢷⠲⣰⠖⡾⠴⡦⢶⠤⠤⠦⠤⠤⠤⠴⠤⠔⡰⢄⡄⣠⣠⢤⡄⢤⡀⠀⣀⣀⢀⡠⠀⠀⠤⠤⢤⠤⠾⠂⠰⣶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣸⣋⣚⣛⣛⣛⣛⣛⣟⣛⣟⣝⣿⣿⢳⣿⣿⣿⣿⣿⣶⣾⣾⣷⣶⣶⣼⣶⣾⣶⣶⣦⣶⣶⣶⣆⣣⣀⣂⣂⣂⣀⣀⠠⠅⠀⠐⣐⠀⠞⠐⢴⢊⡢⠒⡗⢒⡒⢱⡷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠈⠛⠿⠿⠿⠿⢿⢻⣿⣿⣿⣿⣿⢁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡁⠘⡳⣓⡕⢸⣛⢻⣽⣿⢓⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡟⠋⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⢿⢿⡟⣷⢞⡛⢛⣷⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠉⠉⠁⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠈⠁⠁⠁⠈⠀⠈⠈⠁⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢲⠂⡆⡀⣂⡀⢀⢀⣀⢀⠀⢰⣀⡆⡂⡀⢀⠀⡀⣀⠀⢀⢀⢰⢢⢀⢀⢀⠀⡀⠀⢰⠒⡄⡀⡀⠀⠀⡀⡀⡀⡀⠀⠀⣠⣤⣤⢠⡄⢀⣠⣤⢰⣶⣶⣶⣶⣶⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠘⠀⠃⠃⠛⠀⠋⡒⠓⠛⠀⠘⠉⠃⠃⠒⠘⠀⠒⠓⠛⠘⠚⠘⠘⠚⠛⠙⠀⠛⠀⠘⠒⠃⠓⠃⠀⠛⠃⢀⣋⡒⠂⠐⠒⠃⠓⠂⠞⠀⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⣷⣾⣶⣾⣿⣾⣿⣿⣿⣾⣷⣷⣾⣶⣶⣿⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⣿⣶⣶⣶⣿⢯⣿⣿⣧⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⢽⣼⣿⣶⡯⣿⣿⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⢾⣿⢾⡿⢾⡿⣯⡿⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡶⣿⡺⡿⠼⣿⢾⡷⣿⡿⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⢽⡒⡥⢿⡿⣧⡟⣽⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⢳⡻⠞⠆⢈⠙⠛⡙⣺⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡝⣿⡑⠼⠣⠇⢨⡆⠋⠍⠾⠟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣯⠁⢠⡐⠠⠈⡄⠈⢄⠘⠸⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣏⠀⡃⠈⠀⠘⠃⠀⢩⠸⢀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠉⠀⡀⠘⠂⣀⠀⡑⡀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣦⡂⠈⠀⠐⡁⠈⠠⠰⣀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣯⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⠿⡿⣿⣿⠿⡿⢹⣿⣻⣿⣿⢟⣿⣿⣿⠯⡿⢝⢍⠭⡏⢼⠅⡙⠁⠀⠀⡋⠁⠀⠀⠀⢠⡅⢀⣤⢘⡡⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣟⣷⣿⣿⡿⣟⣺⡿⣞⠅⢿⠀⣯⠈⠬⡁⠅⠈⠁⠐⠀⠨⠀⠆⠀⢨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠠⡄⠔⣱⢹⡄⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢐⠀⠄⢰⣿⣿⣿⣿⣿⣿⡷⣮⡧⢼⡮⣦⠖⢚⠀⠧⠤⢲⠂⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠠⠀⠅⠌⠼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣰⢖⣴⣶⣶⣶⣦⣿⣿⣿⣿⣿⣿⡿⣻⣷⣞⠿⢗⡶⠾⠔⡟⠴⠶⠔⠆⢤⡤⢤⡤⠤⠦⠤⠠⡤⠀⣄⢨⡀⠰⡅⢠⣀⣀⣀⢂⠀⠤⠀⠔⠀⡃⠀⠦⢵⠰⡪⡢⡯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢸⣋⣚⣛⣛⣛⣛⣛⣟⣛⣿⣝⣿⣿⢳⣿⣿⣿⣿⣿⣶⣷⣶⣶⣶⣶⣶⣶⣶⣶⣴⣤⣴⣤⣶⣤⣢⣠⣠⣀⣀⣀⣀⢀⠀⢀⠂⢠⠀⠀⠐⠁⠀⡀⠘⢂⠊⡖⣹⡤⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠈⠛⠿⠿⠿⠿⢟⢻⣿⣿⣿⣿⣿⢁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⣭⣿⣷⡃⠐⢢⠒⠍⢰⡊⣿⡛⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡟⠋⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⢿⢿⡟⣿⢒⡛⢛⣿⣾⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠉⠉⠁⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠈⠁⠁⠁⠈⠀⠈⠈⠁⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢤⠄⣄⡀⣄⣀⠀⣀⣀⣀⠀⢠⣀⡄⡄⣀⣀⡀⣀⡀⣀⢀⣀⣠⣠⡀⣀⢀⡀⣀⠀⢠⠤⡄⣀⡀⠀⣀⠀⣀⡀⣀⠀⠀⢤⣤⣤⢀⡄⢠⣤⣤⢰⣶⣶⣶⣶⣶⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠸⠀⠃⠇⠛⠀⠛⣄⠏⠕⠀⠸⠙⠇⠇⠢⠸⠀⠢⠃⠽⠘⠜⠸⠘⠜⠭⠹⠀⠭⠀⠸⠤⠃⠣⠃⠀⠭⠇⢀⣟⡤⠆⠀⠤⠓⠍⢆⡞⠀⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣦⣶⣽⣿⣾⣯⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣷⠿⣿⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⡿⣿⣿⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣗⣿⠛⣷⣻⣟⣿⡿⣻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⢽⣻⢩⡑⠘⠟⢿⡿⣻⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⣿⡓⡷⢮⠋⢘⠖⢰⡟⢿⠿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣙⡃⢘⣇⣱⡃⡊⣻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡐⡻⠈⡎⢐⠇⢠⠇⢸⣀⡻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢈⢀⣀⠃⢉⣄⣁⣇⢴⣃⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣦⣆⡀⠄⢨⡄⢸⣥⣡⣤⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣽⣿⣯⡿⣿⢿⡿⣿⣿⡿⣿⣿⣿⣻⡟⣿⣿⣻⣿⣽⣭⣿⣏⣿⣦⡯⣹⡯⢨⡇⢜⡇⣯⢗⣎⠀⠟⠁⠠⠀⠇⢸⣔⣫⣧⢔⣧⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣶⣟⡽⢧⣻⡿⡷⡦⡿⢶⣿⢏⠅⢨⡧⠌⠅⢀⠂⠕⠀⠊⠀⠁⠀⠀⠄⠄⠈⠄⠀⠠⠐⠀⠄⠀⠁⠄⠂⡠⠆⡾⣱⣾⡟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢐⠀⡄⢰⣿⣿⣿⣿⣿⣿⣿⣾⣿⢼⡿⡿⠾⢾⠀⡿⠾⡷⡆⡅⠠⠀⠠⠄⠀⠀⠆⠀⠤⠀⠠⠐⠀⠀⠆⠐⠀⠀⠀⠀⠄⠐⠂⠀⠀⡂⢘⡷⢞⠢⢼⡾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣰⢖⣴⣶⣶⣶⣦⣿⣿⣿⣿⣿⣿⡿⣻⣿⣾⡷⢳⠾⠾⠶⡿⠴⠦⠤⡦⢼⡤⢤⠥⠬⠤⡦⠠⣴⢄⡠⣤⣂⣔⣅⣀⣀⣄⣀⣀⢀⡦⠠⠶⠔⡵⢺⡵⣶⡺⣿⠷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣸⣋⣚⣛⣛⣛⣛⣛⣟⣛⣿⣝⣿⣿⣻⣿⣿⣿⣿⣿⣾⣿⣾⣿⣶⣷⣶⣾⣿⣷⣾⣧⣷⣦⣶⣆⣦⣄⣶⣐⣇⣠⣀⢠⠀⠈⡀⢂⠀⢟⠰⢺⠶⣆⢆⣓⢺⡿⣟⣷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠉⠛⠿⠿⠿⠿⢿⢻⣿⣿⣿⣿⣿⢁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⢿⣿⣇⠚⣻⢠⠗⢽⣟⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡟⠋⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⢿⢿⡟⣿⢟⡛⢚⣷⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠈⠁⠁⠁⠈⠀⠈⠈⠁⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠠⢤⠄⣄⡀⣄⣀⠀⣀⡀⣀⠀⢠⡀⡄⡄⣀⢀⣀⣀⠀⣀⢀⣀⣠⣤⡀⣀⢀⣀⣀⠀⢠⠤⡀⣀⠀⠀⣀⠀⣀⠀⣀⠀⠀⢤⣤⣤⢠⡄⣠⣤⣤⢰⣶⣶⣶⣶⣶⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠸⠀⠇⠇⠿⠀⠟⣤⠯⠵⠀⠸⠛⠇⠇⠧⠸⠀⠧⠋⠵⠸⠜⠸⠸⠜⠭⠹⠀⠵⠀⠸⠤⠃⠧⠃⠀⠭⠇⢀⣟⡤⠆⠀⠬⠒⠤⢆⡖⠀⣶⣶⣼⡿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣦⣶⣿⣯⣿⣿⢿⣿⣿⣿⣿⣽⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣟⣿⣝⣿⢵⣿⣿⣿⣿⣯⣽⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⡿⣸⡿⢫⣯⢽⣯⣾⡽⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡿⣿⣯⠿⡻⠶⠗⣾⡿⣷⣿⣿⣟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣽⣿⣾⣷⣿⠈⠞⢫⡷⡿⡟⢿⡧⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠧⣶⢢⠪⠲⡆⠈⠋⠻⣝⣾⡟⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⠞⠁⠓⢘⠄⠂⡛⢹⣟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣿⢋⢛⠈⠅⠘⡎⢹⠀⢸⠃⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⢀⣠⡁⠚⡑⣂⢘⠃⠁⢈⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢁⠅⠀⠀⢐⠎⠈⣌⢠⢈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣟⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣿⣆⡀⡄⠀⠀⡁⢐⢤⠰⡀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣭⣻⣿⣿⣿⣿⢿⣿⢿⣿⢿⢿⣻⡿⢿⣻⣻⡿⣿⣟⡿⡿⣿⠍⡫⣹⠯⠉⡅⢨⠍⠉⡐⠔⠀⠛⠁⢀⡀⡁⠸⢀⣠⠂⣌⢧⣵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣻⡯⡾⣧⣺⠻⣟⠵⠴⠄⣿⠪⡞⠄⠀⠺⠅⠑⠅⠐⠐⠆⠀⢨⠀⠀⠀⠀⠈⠀⠠⠀⠀⠄⠀⠀⠀⠀⠆⠀⠃⠐⠀⠰⣅⠪⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢐⠀⠄⢰⣿⣿⣿⣾⣿⣿⣷⣼⣿⣘⡮⡅⠋⢼⠀⠧⠴⢞⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠄⠀⢀⠀⢂⠀⠄⠀⠀⠀⠀⢠⠤⠈⠤⢩⡀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣰⢖⣴⣶⣶⣶⣦⣿⣿⣿⣿⣿⣿⡿⣻⡯⣺⣷⢗⠲⢺⠒⠷⠴⠤⠴⡦⠤⠤⢤⠤⠤⠤⠠⠠⣴⠄⡀⢄⢀⣄⣅⣠⣀⣀⠀⣀⢀⢀⠀⠄⡀⢂⠬⡵⢂⣅⣸⡆⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣸⣋⣚⣛⣛⣛⣛⣛⣟⣛⣻⣝⣿⣿⢳⣿⣿⣿⣷⣿⣶⣷⣶⣶⣾⣶⣶⣶⣾⣶⣶⣴⣴⣦⣶⣶⣵⣀⣤⣀⣀⣀⣀⢰⠀⡀⠀⢀⠀⢀⠂⡑⠀⡀⢀⢐⠒⡼⢺⠶⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠈⠛⠿⠿⠿⠿⢿⢻⣿⣿⣿⣿⣿⢁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⣿⡿⢿⡓⢐⠛⠋⡋⢸⣯⣽⣗⣿⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡟⠋⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⢿⢿⡟⣷⢒⡛⢓⣲⣾⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠉⠉⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠈⠁⠁⠁⠈⠀⠈⠈⠁⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠠⢤⠄⣄⠀⡄⢀⠀⣀⡀⣀⠀⢠⡀⡄⡄⣀⢀⡀⣀⠀⣀⢀⡀⣠⣤⡀⣀⢀⡀⣀⠀⢠⠤⡀⣀⠀⠀⣀⠀⣀⠀⡀⠀⠀⢤⣤⣄⢀⡄⠠⢠⣤⢰⣶⣶⣶⣶⣶⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠸⠀⠇⠇⠿⠀⠞⣤⠯⠴⠀⠸⠛⠇⠇⠥⠼⠀⠥⠯⠴⠸⠼⠸⠸⠜⠤⠹⠀⠴⠀⠸⠤⠃⠧⠇⠀⠦⠇⢁⣟⡤⠆⠠⠭⠖⠦⠆⡖⠀⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣽⣿⣿⣯⣿⣿⣿⣿⢿⣵⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠮⣿⣿⣿⡿⡯⣼⣿⣿⡿⣿⣽⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣿⣿⣿⡾⡷⣾⣷⢿⣯⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣷⣞⣶⠷⠔⢿⣷⢿⣿⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⠿⣷⢱⡿⠊⠷⢻⡷⢶⠾⣾⠷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢓⡿⢁⠻⡛⡁⠘⠃⠺⣟⣳⡿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⡿⠆⡑⠳⡏⢸⠓⠸⠝⠫⠟⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡟⠙⢊⡀⡁⢂⠓⠐⣚⠂⠺⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡊⡋⠁⠁⢈⠃⠠⠉⠈⡀⡙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⠉⠅⠀⠀⢤⢀⠈⡉⠀⡡⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣷⣆⠤⠀⠄⣀⢠⢔⢨⢰⡁⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣽⣿⣿⣽⣿⣿⣿⡿⣿⣿⣿⢿⣿⣿⢿⡿⣟⣽⣿⣻⣿⢿⠿⣿⣩⣽⠭⡿⢸⠬⠑⡧⢎⠔⡏⠠⡐⠀⡓⠅⢀⠀⠄⢠⡋⣠⠀⢌⠄⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡟⢞⣯⢼⣯⣍⠦⡴⢕⡙⢡⡪⠐⠄⠨⠡⢘⠤⠠⠀⢤⠀⠂⠀⠀⠀⠁⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠤⠠⠀⠜⢁⢙⠡⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢐⠀⡄⢰⣿⣿⣿⣿⣿⣿⣷⣾⡧⢸⣗⠾⠿⠼⠀⡾⠀⣔⠌⠇⢐⠁⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡂⠠⠀⠀⠀⠂⠀⠀⠀⠀⠀⠄⢰⡇⠰⠥⢆⠤⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣰⢖⣴⣶⣶⣶⣦⣿⣿⣿⣿⣿⣿⡿⣻⣷⢾⣶⡷⢲⡾⠐⠿⠢⠿⠦⡤⢤⠦⠤⠤⢤⠤⢀⠤⣶⠄⣀⢠⡄⣤⣄⣰⡄⣠⣀⣀⠀⡆⠀⢠⠰⠄⢚⡴⠄⠄⢻⡕⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢸⣋⣚⣛⣛⣛⣛⣛⣟⣛⣿⣝⣿⣿⢳⣿⣿⣿⣿⣿⣶⣶⣾⣷⣶⣶⣶⣦⣶⣶⣴⣶⣶⣤⣶⣐⣄⣠⣤⣀⣄⣐⣀⠠⠀⠀⠐⠀⠀⠀⠀⠒⠒⠰⠐⣒⠒⡃⣶⠒⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠈⠛⠿⠿⠿⠿⢿⢻⣿⣿⣿⣿⣿⢁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⣿⣿⣿⣅⠸⣱⠃⡕⢘⣳⣿⣗⢺⣶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡟⠋⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⢿⢿⡟⣷⢟⡛⢛⣷⣿⡿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠉⠉⠁⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠈⠁⠁⠁⠈⠀⠈⠈⠁⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢤⠄⣄⠀⠄⢀⠀⡀⠀⣀⠀⢠⠀⡄⡄⢀⢀⠀⢀⠀⣀⠀⡀⣠⣄⡀⣀⢀⡀⣀⠀⢠⠤⡀⢀⠀⠀⢀⠀⢀⠀⡀⠀⠀⢠⣤⡤⢠⡄⠠⢤⣤⢰⣶⣶⣶⣶⣶⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠸⠀⠇⠇⠿⠀⠞⢤⠯⠶⠀⠸⠛⠇⠇⠥⠼⠀⠥⠯⠶⠸⠼⠸⠸⠜⠶⠹⠀⠶⠀⠸⠤⠇⠧⠇⠀⠶⠇⢁⣟⡤⠆⠠⠭⠆⠶⠆⡶⠀⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣿⣽⣿⣯⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⢿⣿⣽⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⡷⢶⢿⣿⢿⢯⡿⢿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠟⣿⡚⠟⢿⡿⣿⣿⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣟⣮⠛⡖⢸⣏⢿⣟⢿⣛⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⠛⣿⡋⡟⢜⠃⠑⠏⢛⣟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣟⣍⢛⠹⡏⢊⠎⣙⠁⢸⡉⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡚⡰⠈⠏⢸⡃⢨⠀⠈⠀⣙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢁⡁⣠⠀⠑⠀⣉⡭⢄⡉⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣄⡰⢀⡆⢰⡆⠠⣕⣨⡅⣭⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⢿⣙⣿⣫⣿⡿⣷⢽⢺⠱⡧⠼⠠⡚⢡⢼⠀⣏⠁⠘⡀⠄⣸⣅⣊⣀⣼⡬⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣟⣿⣽⣿⣿⣟⣿⡟⣟⠧⣯⡆⣷⡥⣣⡳⠈⠸⠡⠸⠄⠀⠅⠭⠀⠒⠄⠑⠀⠠⢀⠀⢀⠀⠀⠀⠀⠀⠈⠠⠀⠄⠆⠐⠤⠼⡻⢢⢧⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢐⠀⠄⢰⣿⣿⣿⣿⣿⣿⣷⣿⣷⢾⣽⣿⠡⠾⠠⡮⠖⡷⡤⠆⠀⠂⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠃⢀⠁⠀⠀⠀⠀⠆⠂⠄⠀⠆⢨⡤⡖⡵⣟⢵⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣰⢖⣴⣶⣶⣶⣦⣿⣿⣿⣿⣿⣿⡿⣛⣷⣺⠷⣞⢿⢺⣃⣿⠲⡶⠀⠧⠴⠤⢤⣤⠬⠠⢀⠤⠤⠄⣠⢬⣴⣀⣄⣪⣀⣐⢠⡂⠀⡒⠂⠆⠐⠅⠸⡦⢤⣖⢿⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣸⣋⣚⣛⣛⣛⣛⣛⣟⣛⣿⣝⣿⣿⣻⣿⣿⣿⣿⣿⣷⣾⣶⣿⣶⣷⣾⣷⣶⣧⣷⣷⣶⣦⣾⣦⣵⣄⣲⣐⣇⣀⣀⢐⠁⠀⠂⠚⠀⡹⠀⢃⠰⡦⢰⡖⢺⡗⣟⡟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠈⠛⠿⠿⠿⠿⢿⢻⣿⣿⣿⣿⣿⢁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⡽⣿⣿⣗⢚⣛⡛⣛⣺⡟⣟⡿⣿⣷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡟⠋⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⢿⢿⡟⣿⢟⡛⢛⣾⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠉⠉⠁⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠈⠁⠁⠉⠈⠀⠈⠈⠁⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⡀⡀⠀⠀⠀⠀⠀⠒⠒⠒⢒⠒⡒⡒⠒⠒⠒⠒⠒⠒⠒⠂⢒⢒⠒⠒⠒⠒⠒⠒⢒⣒⡒⠒⠒⠒⠒⠒⠒⠒⠂⠀⠀⣠⣠⡄⠀⡄⠠⢄⣤⢰⣶⣶⣶⣶⣶⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢸⠀⠏⡇⠿⠉⠶⡉⡯⡻⠀⢸⠛⠇⡇⢍⢹⠁⢍⠇⡻⠸⡹⢹⠹⡱⣛⢺⠁⣛⠀⢸⣀⠇⢏⠇⠀⡛⡆⣉⣷⣍⡆⠀⣐⠦⡚⠆⡶⠀⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣾⣿⣿⣿⣿⣿⣤⣤⣤⣤⣤⣬⣥⣤⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣷⣿⣻⢿⣯⡷⣾⣷⣿⣿⣽⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⡷⣗⣾⡿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⡿⠿⠷⣿⣿⣾⣿⣿⣷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢯⣳⢋⡏⠸⠛⢻⡟⢿⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⠹⣿⠑⡿⢋⡒⠚⠝⢿⡻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣻⣙⢿⡁⢍⢘⠇⡉⢄⢹⢿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡎⡻⣈⣂⠰⣇⢐⢀⣑⢋⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢋⣁⠠⠀⢸⣁⠠⡋⢸⣎⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣆⣇⠁⣅⢸⣆⡈⢠⣸⣯⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⣿⣾⣿⣿⡿⣿⢿⣿⣿⢿⠿⣿⢟⣿⣯⡿⣿⣿⣿⣯⣽⣿⣿⡯⣿⡭⣧⣽⠭⠸⡏⢸⢄⣥⢬⠜⠀⣭⠌⠠⠀⠓⢔⡄⣬⣆⣴⣦⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⢿⡿⢾⣿⣽⠬⣿⠔⣿⣿⡧⠤⡁⢨⠄⠨⠄⠨⠀⠴⠠⠛⠀⠅⠀⠠⠀⠠⠸⠀⠀⠄⠪⠀⠀⠀⠤⠠⡆⠸⠅⠜⣷⢼⡡⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢐⠀⠤⢰⣿⣿⣿⣯⣿⣿⣿⣿⣿⢾⣟⢿⠳⢜⠀⣿⠰⢟⠢⠅⠠⠄⠀⠂⢀⠀⠂⠀⠀⠀⠄⠀⠀⠂⠆⠐⠀⠠⠐⢀⠀⠀⠠⠔⠀⠄⠴⡇⢎⡿⢿⠼⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣰⢖⣴⣶⣶⣶⣦⣿⣿⣿⣿⣿⣿⡿⣻⣗⣻⡷⠖⠗⣟⠶⣿⠲⠾⡴⠤⠼⠦⢴⠤⢤⠤⠤⠤⣼⣂⡦⢀⠆⣰⣄⣠⣀⣂⣀⣠⣀⡂⠠⠲⠲⡆⢪⠷⣾⡶⣫⣞⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣸⣋⣚⣛⣛⣛⣛⣛⣟⣛⣿⣟⣿⣿⢻⣿⣿⣿⣿⣿⣷⣿⣷⣾⣶⣿⣾⣶⣴⣶⣾⣧⣶⣶⣶⣖⣾⣤⣰⣀⣆⣄⣔⢐⠒⠒⠂⣀⠐⣁⠐⣗⠘⡖⢺⠏⢲⡷⣻⡶⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠉⠛⠿⠿⡿⠿⢿⢻⣿⣿⣿⣿⣿⢁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⡒⠊⡗⣒⡿⢸⡏⣿⣿⢻⣟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡟⠋⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⢿⢿⡟⣷⢟⡛⢛⣶⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠈⠁⠁⠁⠈⠀⠈⠈⠁⠀⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣀⡀⡀⠀⡀⠀⠀⠀⠒⠒⠒⢒⠒⡒⡒⠒⠒⠒⠒⠒⠒⠒⠂⢒⣒⠒⠒⠒⠒⠒⠒⢒⣒⡒⠒⠒⠒⠒⠒⠒⠒⠂⠀⠀⣠⣠⡤⠠⡄⠠⠀⣤⢰⣶⣶⣶⣶⣶⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢸⠀⡏⡇⡿⠉⠶⣉⡟⣫⠀⢸⠳⡇⡇⣍⢹⠉⣍⠆⣫⢸⡹⢹⢹⡱⣛⢺⠁⣛⠀⢸⣀⠇⣏⠇⠀⣛⣆⣉⣶⣉⡆⠀⣒⠦⣛⡎⡶⠀⣶⣲⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣾⣿⣿⣿⣿⣿⣤⣤⣤⣤⣤⣬⣥⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣧⣿⣭⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣽⡿⣿⡿⢿⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⡿⢹⣿⣿⣯⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⡺⣿⣟⣷⠙⠯⢸⡷⣾⡿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⡷⡳⢾⠛⡇⢸⡺⠻⣟⣾⢟⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⠒⡻⠛⡋⠘⡃⢐⡍⠻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣉⡢⡛⡇⢠⡇⡲⢀⢎⡺⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠲⡙⠀⠅⢰⡃⢐⢂⢠⡁⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡑⠇⡈⡁⢐⢁⡩⡄⢁⢄⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⠛⣿⣥⡁⢀⠀⢀⡅⡀⡤⡸⡤⢽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⣿⣿⣽⣿⡿⢿⣿⣿⣿⣿⠿⣿⣻⣿⢿⣟⣿⣿⢿⣿⢿⣿⣿⣿⣿⠩⡏⡸⣍⣥⡧⢨⣁⢩⠭⣸⠄⡯⠁⠂⡀⢁⢼⣥⣄⡀⣬⡤⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣯⢹⠭⢺⣿⣏⢮⣿⠉⠟⠬⣟⡤⠃⢸⠄⠀⠅⠀⠀⢔⠃⢢⠐⡁⠀⠀⠈⠁⡈⡀⠁⠁⠈⠀⡀⠀⡄⠀⡁⠀⠄⢝⠅⢾⢆⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢐⠀⠄⢰⣿⣿⣿⣿⣿⣷⣷⣿⣮⣾⣽⣯⠢⢾⠄⣶⢐⡢⠂⠃⠰⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⡇⣀⠀⠀⠀⢀⠀⠒⠂⠀⠀⠀⠰⠅⠢⣵⢗⠖⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣰⢖⣴⣶⣶⣶⣦⣿⣿⣿⣿⣿⣿⡿⣻⡿⣺⣿⢺⢶⠞⡲⡷⠤⡴⠦⠧⠼⡦⠴⡤⠬⠢⠄⠤⢺⢄⣄⢀⡆⣄⣅⣀⣄⣠⠀⡰⠀⡆⠄⠤⠠⡕⠺⡥⢦⡡⣾⢏⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣸⣋⣚⣛⣛⣛⣛⣛⣟⣛⣿⣝⣿⣿⣳⣿⣿⣿⣿⣾⣷⣷⣾⣷⣶⣷⣾⣶⣶⣶⣾⣶⣤⣤⣦⣰⣶⣠⣐⣀⣂⣀⣀⠀⠀⠈⡀⢨⠀⢈⠐⠻⢠⠆⢺⡇⣾⣟⣻⡶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠈⠛⠿⠿⠿⠿⢿⢻⣿⣿⣿⣿⣿⢁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⣿⣿⢽⣻⣃⢈⣟⠐⣇⢸⡞⣻⣽⣾⢽⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡟⠋⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⢿⢿⡞⣿⢖⡛⢓⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠉⠉⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠈⠁⠁⠉⠈⠀⠈⠈⠁⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣀⡀⡀⠀⡀⠀⠀⠀⠒⠒⠒⢒⠒⡒⡒⠒⠒⠒⠒⠒⠒⠒⠂⢒⣒⠒⠒⠒⠒⠒⠒⢒⣒⠒⠒⠒⠒⠒⠒⠒⠒⠂⠀⠀⣠⣠⡤⠠⡄⠠⣤⣤⢰⣶⣶⣶⣶⣶⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢸⠀⡏⡆⣿⠉⡴⣉⣗⣫⠀⢸⠷⡇⡇⣏⣸⠉⣏⢖⣫⢸⣱⢹⢹⡱⣛⢺⠁⣫⠀⢸⣀⠇⣏⡆⠀⣛⣆⣉⣶⣁⡆⢀⣒⡦⣛⡎⡴⠀⣶⣶⣼⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣤⣤⣤⣤⣤⣤⣤⣤⡤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣤⣬⣥⣤⣿⣿⣷⣿⣾⣿⣿⣿⣿⣷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⡽⣿⣗⣿⣿⣿⢿⣿⡿⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣾⣷⢿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣟⣿⣿⣿⣞⣟⣾⣛⢻⣿⣿⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡿⣾⠟⣻⠁⠓⢻⠷⢿⡷⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⡿⢻⡿⠓⠇⠨⣏⣿⣟⣿⠟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺⢿⢓⣿⠇⡋⢡⠁⠰⡓⢻⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⣟⣙⡋⡺⡃⢸⡏⠰⠈⠾⠬⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⠃⡉⠈⠂⠀⡃⠀⠀⣀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠑⠀⠋⠐⢅⣈⠉⢑⡀⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣟⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣿⣄⡀⠀⠈⡈⡅⣰⣀⠀⣀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣯⣿⣟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⢹⣿⢛⣟⢿⣟⣿⢿⡽⠭⣯⡹⠈⠡⡯⢼⠄⣺⠀⡱⠀⡋⠀⠤⠀⠂⠘⡄⢀⡣⢴⣥⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣟⣽⣧⢺⣿⣿⠥⣿⠠⣿⠼⡆⢖⠅⢰⠔⠼⠅⠐⠂⠰⠀⢂⠐⠁⠀⠀⠀⠀⠘⠄⠀⠀⠀⠀⠄⠀⠀⠀⡂⢡⠀⠜⣥⢞⡜⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢐⠀⡤⢰⣿⣿⣿⣿⣿⣿⣷⣾⡗⢾⡷⢎⣻⢼⠀⡿⠲⢦⠄⠁⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠄⠆⡁⢈⠀⠈⠀⠀⠀⠤⠀⢁⠀⠂⢠⡇⢺⠓⢸⢒⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣰⢖⣴⣶⣶⣶⣦⣿⣿⣿⣿⣿⣿⡿⣻⣷⣽⣷⠲⢷⢾⠲⣧⠰⠶⢴⢤⠴⠦⠤⠤⢤⠦⡄⠤⢦⣆⡀⢤⣀⣤⣂⣈⡀⣀⣀⢀⠀⠄⣀⠆⠀⠑⠪⡥⡲⠦⢺⣢⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣸⣋⣚⣛⣛⣛⣛⣛⣟⣛⣿⣝⣿⣿⢻⣿⣿⣿⣿⣿⣷⣿⣶⣾⣶⣷⣶⣷⣶⣶⣼⣶⣴⣤⣾⣤⣕⣤⣂⣀⣄⣰⣀⡨⠁⠀⠀⢐⠀⠞⠑⠅⠎⡆⢰⡗⣙⢾⣺⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠉⠛⠿⠿⠿⠿⢿⢻⣿⣿⣿⣿⣿⢁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⢷⡵⠘⡴⢚⠷⢛⣜⣹⣟⣿⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡟⠋⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⢿⢿⡟⣷⢖⡛⢛⣾⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠉⠉⠁⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠈⠁⠁⠁⠈⠀⠈⠈⠁⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣀⡀⡀⠀⡀⠀⠀⠀⠒⠒⠒⢒⠒⡒⡒⠒⠒⠒⠒⠒⠂⠒⠒⢒⣒⠒⠒⠒⠒⠒⠒⢒⣒⠒⠒⠒⠒⠒⠒⠒⠒⠂⠀⠀⢠⣠⡤⠀⡄⢄⣠⣤⢰⣶⣶⣶⣶⣶⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢸⠀⡏⡆⣷⠈⡴⣁⣖⣭⠀⢸⠶⡇⡇⣊⣸⠁⣊⣖⣩⢰⣱⢹⢹⡱⣉⢺⠁⣩⠀⢸⣀⡇⣎⡆⠀⣍⣆⣊⣶⣁⡆⢀⣒⡤⣄⡖⣴⠀⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣾⣿⣿⣿⣿⣿⣤⣤⣤⣤⣤⣤⣥⣤⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣵⣿⣮⡷⣾⣿⢿⡿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⢷⣿⢿⡿⣿⣿⢾⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⠿⣿⠯⠿⢿⣿⢻⣿⣾⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣺⡷⠿⡞⠘⡏⢟⣿⢿⠿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡿⠛⢏⣝⡥⢪⡟⠚⠏⠳⢟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡾⣿⣛⣟⢢⠀⢺⡃⢓⣆⢘⠙⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⣛⠛⠁⠊⡸⠃⢉⠫⢰⢛⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢈⠅⣀⢏⢈⠄⢡⠁⢘⣠⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⢻⣿⣄⠶⡀⡆⢬⡄⢰⢦⣸⢭⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡷⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣯⣿⣿⢻⣿⢿⣟⣿⣫⣿⣥⡯⣼⡽⢍⡇⣘⢀⣋⡄⡴⡠⣛⢁⢀⠀⠃⢘⣣⣈⠎⣰⣦⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣷⣿⣿⢾⣧⣻⡳⣾⡦⣿⠚⡿⠢⡜⠤⣧⠸⡦⢰⠄⠐⠦⠥⠤⠞⠀⠣⠀⠠⢰⡀⡘⠂⠐⠠⠀⠀⠀⠀⠁⠀⡒⠰⠆⢦⠦⢾⡗⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢐⠀⠤⢰⣿⣿⣿⣿⣿⣿⣷⣿⡷⢾⡿⡈⠶⢰⠄⣿⢶⣯⠐⠄⢨⠀⠨⠀⠐⠀⠲⠀⠠⠀⡀⠀⠀⢨⠀⢰⠂⠂⠀⠈⠀⠅⠐⠈⠀⠠⠰⠽⠲⠇⣼⠾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣰⢖⣴⣶⣶⣶⣦⣿⣿⣿⣿⣿⣿⡿⣻⣷⣾⡷⢶⡻⢾⡶⣯⠬⠾⠶⡤⠴⠤⢤⡤⢬⠠⡤⠄⢶⢠⣦⢴⡤⣴⣤⢈⣀⣄⣐⣠⢀⠶⠤⠕⠰⠵⢸⡤⣿⡦⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣸⣋⣚⣛⣛⣛⣛⣛⣟⣛⣿⣝⣿⣿⣳⣿⣿⣿⣿⣿⣶⣿⣶⣷⣶⣶⣶⣷⣶⣷⣶⣶⣾⣦⣶⣐⣝⣠⣶⣰⣶⣀⣀⢐⠄⣘⠂⡠⡓⠦⠀⡒⠐⡺⢸⣖⢪⡖⣴⣦⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠈⠛⠿⠿⠿⠿⢿⢻⣿⣿⣿⣿⣿⢁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣽⣿⣿⣚⢨⣝⠛⡞⢹⡜⡻⡿⢿⣷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡟⠋⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⢿⢿⡟⣿⢓⡛⢒⣾⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠈⠁⠁⠁⠈⠀⠈⠈⠁⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠶⠶⠆⠶⠒⡶⠲⠲⠒⠶⠒⠂⠶⠒⠶⡶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠖⠶⠒⠖⠒⠖⠂⠀⠀⢠⣤⡤⠠⡀⠄⣤⣤⢰⣶⣶⣶⣶⣶⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢸⠀⡗⡆⣶⠒⣤⢒⣖⢶⠀⢸⠶⡇⡆⡒⢰⠂⡒⣖⢶⢰⢲⢺⢺⢲⠶⢴⠂⢶⠀⢸⢈⡇⡖⡆⠀⣶⣆⣒⣦⣒⡆⠀⠂⣄⢶⡔⣤⠀⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⣁⣁⣀⣀⣀⣀⣁⣈⣀⣀⣈⣀⣀⣀⣁⣀⣀⣁⣀⣀⣀⣠⣤⣤⣥⣤⣾⣶⣾⣿⣿⣿⣿⣿⣤⣀⣀⣀⣀⣐⣃⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣟⣷⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⠷⣿⢾⣷⣿⣿⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣞⣟⡲⡿⢺⡽⣿⣟⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡳⣿⢿⣿⡋⡗⣸⡿⢿⣿⣿⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⡟⣟⣙⣞⡺⡇⢓⡛⡻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⢉⣋⠹⡿⠚⣔⡸⣍⢬⠻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣙⠱⢈⠦⣡⠃⢥⠀⢸⣉⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⣅⡄⡣⢸⡇⢹⠖⢽⣅⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⣿⣦⣿⠂⠬⡘⡇⣐⢦⠻⣥⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⣹⡭⣵⡯⠸⣥⡬⣫⡬⢀⣫⡘⠰⡄⣄⠸⣷⣈⣥⣨⣆⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣷⣿⣯⢾⣿⣿⢷⢻⢟⣿⢹⣾⡷⣥⠚⠟⠏⠇⡘⠄⡥⠠⣜⠠⠇⠀⠂⢀⠖⢺⢆⠖⠤⢈⠀⢅⠀⡯⠀⠇⢰⣴⡟⣗⣾⡶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢐⠀⡤⢰⣿⣿⣿⣿⣿⣿⣷⣿⡿⢼⣷⢿⣿⣾⠐⣿⡼⡫⡖⡄⠢⡀⡈⡂⠀⠂⠂⡁⢩⠀⢤⠀⠄⢾⡃⠠⠄⢸⡐⢠⠀⢢⠀⠌⠉⡖⢔⡦⣼⡵⣼⣷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣰⢖⣴⣶⣶⣶⣦⣿⣿⣿⣿⣿⣿⡿⣺⣷⣾⡷⢟⣶⣿⠦⣻⠲⡿⠾⣦⢼⣧⠤⢦⢤⠤⡡⠤⣼⣄⣠⣴⣇⢬⣇⢸⣄⣂⣄⣠⣠⣮⠦⢶⡴⠭⢾⡾⢞⢽⣿⠷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣸⣋⣚⣛⣛⣛⣛⣛⣟⣛⣻⣙⣿⣿⣳⣿⣿⣿⣿⣿⣾⣿⣾⣿⣶⣷⣶⣶⣾⣷⣾⣦⣾⣦⣾⣲⣗⣄⣠⣰⣆⣂⣃⢘⠂⢐⠐⢀⠀⣛⢐⣞⣒⡎⢸⡓⡾⡷⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠈⠛⠿⠿⠿⠿⢿⢻⣿⣿⣿⣿⣿⢁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣽⣿⣷⣏⠘⣣⣹⡟⢼⣿⣻⣿⣻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡟⠋⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⢿⢿⡟⣷⢛⡛⢛⣾⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠀⠉⠉⠁⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠈⠁⠁⠉⠈⠀⠈⠈⠁⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠶⠶⠖⠶⠶⠶⠶⠶⠶⠶⠶⠦⠶⠲⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠆⠀⠀⢠⣤⡤⠠⡀⠄⣤⣤⢰⣶⣶⣶⣶⣶⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢹⠁⡗⡆⣷⠒⣤⠒⡶⢖⠀⢸⢶⡇⡇⡒⢲⠂⡒⡆⢶⢰⢲⢺⢺⢢⠶⢴⠂⠶⠀⢸⠉⡇⡖⡆⢀⠶⣄⣒⣦⡒⡆⠐⠣⣄⠶⡔⣤⠂⣦⣶⣾⣯⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠈⠀⠀⠁⠀⠀⠀⠓⣁⣁⣀⣈⣀⣁⣁⣉⣈⣀⣉⣀⣉⣀⣁⣈⣈⣁⣉⣈⣀⣉⣀⣨⣭⣤⣿⣶⣾⣿⣿⣿⣿⣿⣁⣀⣉⣀⣉⣑⣃⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣻⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡇⣿⢿⣿⣷⡷⣿⣿⣿⣿⣿⣷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⢿⣿⡟⠿⢻⡷⣿⣿⣿⣷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⢟⣻⠫⡆⢸⡻⢿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠚⢿⣛⡚⢺⣏⡿⠑⣻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣏⢫⠹⡇⡨⣏⣚⠋⠹⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣑⣳⢈⢈⡠⡇⢨⡉⢺⢄⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⡕⠨⢀⢙⢏⡠⣍⠸⡸⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣻⣿⣬⡈⢀⠅⠐⡃⣡⢩⣛⣀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣽⣽⣿⢿⣿⣭⡿⣭⡍⢱⡧⢬⣡⡻⡬⣺⡄⠩⠅⠨⠀⡅⢰⣄⣌⣅⢴⡥⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡧⣾⠽⣽⠇⠿⡍⣿⣾⣿⠤⢄⠸⠥⠴⠗⠰⠤⠷⠠⠼⠀⠉⠀⠀⠌⠆⢰⠀⠄⠠⢌⠀⠅⠀⠡⠀⡃⠼⠖⠘⡵⣾⣦⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢐⠀⠤⢰⣿⣿⣿⣿⣿⣿⣷⣻⣗⢼⣷⡏⡷⡼⠠⡿⠲⣿⠄⡁⠀⠰⠤⠀⠠⠀⠀⠠⠠⠀⠀⠀⠀⢀⡇⢰⠤⠀⠀⢀⠀⠠⠐⠠⠀⡴⢸⡗⠂⡽⣩⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣰⢖⣴⣶⣶⣶⣦⣿⣿⣿⣿⣿⣿⡿⣻⣿⣿⡽⢿⠶⢾⠦⣿⠶⡾⠴⡦⠴⠦⠤⠤⠦⠤⣥⠤⢼⢄⡤⢌⣶⣔⡇⣄⣂⣠⢀⣒⠀⡶⠀⠰⠴⡣⢸⡯⢤⠷⣾⡶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣼⣋⣚⣛⣛⣛⣛⣛⣟⣻⣿⣝⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣶⣿⣾⣷⣶⣶⣾⣷⣾⣶⣼⣦⣦⣤⣅⣀⣲⣐⣆⣚⣀⢜⡀⡁⠀⡱⠃⢎⠰⠋⠫⡷⢯⡟⢲⣿⣸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠈⠛⠿⠿⠿⠿⢿⢿⣿⣿⣿⣿⣿⢁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⢿⣽⢝⢛⣓⡏⢺⣏⣿⡟⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡟⠋⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⢿⢿⡟⣿⢞⡚⢛⣿⣾⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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                    ䷩ 𝚕𝚒𝚗𝚎 2451

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

(ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/01/16/Video_The_Heart_of_Staff_Rep_at_the_EPO_Threatens_to_Snitch_to_.shtml
    Gemini version at gemini://gemini.techrights.org/n/2024/01/16/Video_The_Heart_of_Staff_Rep_at_the_EPO_Threatens_to_Snitch_to_.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ [Video] "The Heart of Staff Rep" at the EPO
Threatens to Snitch to Management⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jan 16, 2024,
updated Jan 16, 2024


Video_download_link | md5sum e4053e6041acee58f7c2157316baea88
The_Heart_or_The_Hague?
Creative Commons Attribution-No Derivative Works 4.0


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


Today's publication is important. We even did_a_teaser_about_it and that's
quite rare.


As readers are likely aware by now, the European Patent Office (EPO) besieges
its staff. Under the management of Benoît_Battistelli and António_Campinos
things have been chaotic as laws are routinely broken. They've dismantled a
properly-functioning office and staff is compelled to grant patents against the
European Patent Convention (EPC).


One would imagine that the staff representatives, including the Central Staff
Committee and the union, would be able to identify the real problem and focus
on the culprit. But as it turns out, some are attacking the more senior
representatives. Pro-management leanings, wherein we're meant to assume that
management will "fix" the representation (which it vehemently hates) can be
seen coming from 3 people, whom I did not name in the video above. This is
FFPE-EPO [1, 2] all over again, except it comes from within, so to speak. FFPE-
EPO hardly had any members, or it hardly represented people (in The Hague). Its
strategy was one of appeasing Office management. No wonder FFPE-EPO perished.
The letter below come from the following 3 people:


                      🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Claudia Lopes⦈


                       🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Jorge Raposo⦈


                     🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Alexandra Forjaz⦈


Having patiently read what they have to say, it seems like a lot of "he said,
she said" and perhaps soreness over not retaining one's status in staff
representation. Apparently one does not get along with fellow representatives
and now looks for some cheap revenge by threatening to go to management.


A decade ago, under the pretext of "protecting" staff (citing canards like
"sniper" or "nazis"), Office management tried to crush the union and
marginalise the staff representation's role.


Here is the first letter from a group called "The Heart of Staff Rep":


     The Heart of Staff Rep
     with Staff at Heart


     Request_for_an_Internal_Inquiry
     The Hague, 20 September 2023


     Dear CSC Chair, dear Derek,


     The Heart of Staff Representation (TH-SR) is a formal group of
     elected staff representatives, whose program has been validated in
     the last Local Staff Committee The Hague elections (June 2023). We
     approach the Central Staff Committee (CSC) as TH-SR elected members
     of the Staff Representation in The Hague to request an internal
     inquiry regarding the CSC meetings on 31 August and 7 September.


     Background
     It is competence of the Central Staff Committee to make appointments
     to the bodies under the Serv Reg or as requested by the President.
     Article 36(2)(a) Serv Reg.
     The CSC requested each Local Staff Committee (LSC) to present a list
     of candidates for full and alternate members for the GCC-SSPR. The
     LSC on each site provided a list of proposed candidates to the CSC as
     GCC-SSPR full and alternate members.


     Facts
     During the weekly CSC meeting (31 August), LSC Vienna presented its
     proposed full member – a member of the LSCVI - and alternate member -
     Claudia Lopes (CL, member of TH) to the CSC. With regard to the
     candidature of CL a CSC member of MU raised an objection, evoking
     that cross- site-nominations were unseen. To this argument, a CSC
     member of TH added the fact that her group was unaware of this
     nomination, and that CL did not apply for alternate member in The
     Hague. A member of the LSC TH noticed that nominating CL without
     informing the group must be discussed in LSCTH. Another CSC member of
     TH reinforced the argument that CL did not apply to the alternate
     position in The Hague and yet a further CSC TH member stated that
     nominations have been done “in the back” of the LSC The Hague. There
     is no basis for an objection to be a candidate as an alternate member
     for Vienna.


     To the argument that CL is the most experienced and knowledgeable
     staff member in The Hague for the GCC-SSPR, the group recognised her
     competence. The reason for not supporting her nomination rests in the
     statement by a member of TH: “There is a lack of trust in this
     person” without context or further explanation on what sort of
     “trust” was at stake. Further a CSC member of MU


     =====================================================================
     stated that the presence of CL in the GCC-SSPR would disturb the work
     of other members. The


     same statement was also stated in writing by two further members of
     TH. CL further informed the CSC that she is working in the GCC-SSPR
     since her first mandate (2017), that she is the most experienced SR
     in The Hague in this matter, and that she made herself available to
     join the GCC-SSPR as full member for the LSC TH. In any case, CL has
     the interest of all staff members at heart, especially in her areas
     of proven competence in finances and pension schemes. The LSCTH had
     voted her out that morning of 31 August, finding other members for
     the full and alternate positions without difficulty. Therefore, she
     decided to accept the invitation from Vienna.


     To the question posed by Vienna, on which grounds are based according
     to the rules of the CSC for the objections over CL’s candidature, the
     CSC remitted the matter to the LSCTH, and postponed the nominations
     of the alternate members. The CSC decided only upon the nomination of
     the full members.


     During the CSC weekly meeting of 7 September, a CSC member of the TH,
     spoke in the name of his group, requesting a vote on the alternate
     member list of candidates. Another TH member explained that in her
     group’s view there is no problem on cross-site-nomination per-se,
     however her group doesn’t want to have “back door” negotiations
     between one member of LSCTH and other Committees. The problem appears
     to be perceived the lack of communication from CL towards the LSCTH
     and would appear to remain a problem until the communication
     improves.


     The CSC recognised that the competence of CL is not questioned.


     A CSC member of TH mentioned an agreement that was broken with the
     interference of Vienna. The agreement seemed to be an internal matter
     of this group from The Hague. However, TH-SR is not aware of any such
     agreement.
     Another CSC member of TH stated that the issue was Vienna nominating
     on the back of The Hague, to remedy he proposed that Vienna suspends
     the name of CL from the list, and that negotiations with all sites
     shall start, and if the wish to renominate CL persists, Vienna should
     negotiate with his group in The Hague. Again, there appears to be no
     basis for this.


     A vote was called on the list of 6 names, followed by a vote on each
     individual candidate. Several objections were raised against this
     procedure, namely based in Article 1(2) RoP of the CSC: “The CSC acts
     collegially and according to the principle of collective
     responsibility.” and that should one of the candidates be voted out
     there would be no substitution, in fact, the list would be then
     incomplete.


     =====================================================================
     The vote on each individual candidate is casted and CL is rejected as
     Vienna alternate member to the GCC-SSPR.
     The CSC decided to send the nominations of five alternate members.


     Arguments:
     The competence of the CSC to make the appointments to the GCC-SSPR is
     not questioned.


     However, the CSC has failed to address the basis for the original
     objection raised on the 31 August, and later on the 7 September, the
     matter of accepting or not a cross-site nomination, i.e., to provide
     the grounds according to the rules for the CSC to reject or not a
     cross-site nomination.


     On the contrary, the CSC has allowed arguments to be marshalled, not
     relevant to its members' decision-making, and which in any case do
     not fall within the CSC's remit to assess.


     The CSC failed to settle the question of law, i.e. whether or not
     Vienna can appoint a person from another site, and in a clear
     interference with Vienna's autonomy and CL's Staff Rep mandate,
     allowed derogatory statements affecting CL's right to protection of
     reputation and good name.


     Some statements wrt CL were:
     "There is no trust in this person"; "This person does not work well
     with the group"; "This person did not apply to alternate in The
     Hague"; "There is an agreement that this person and Vienna broke";
     "There were negotiations behind the back"; "Vienna and CL should have
     informed/negotiated with The Hague". However, none of these
     statements and arguments address the question of law, if Vienna can
     appoint someone from another site.


     Should the CSC have decided that cross-site nominations are not
     allowed, the matter would have been closed. However, it seems that
     the CSC implicitly recognised that such nominations were possible as
     has already occurred in the past.
     Therefore, within a strictly collegial approach, the CSC could have
     asked whether CL may, according to the rules, accept the appointment,
     but the CSC did not. We emphasize in this respect, there are no rules
     limiting the exercise of the Staff Rep's mandate, since a SR is
     elected directly by its colleagues, free and with an individual
     mandate, to a collegial advisory body, with no hierarchical structure
     and as such with no subordinate status. Therefore, the alleged
     obligation for authorisation to accept such Vienna invitation from
     the Local Staff Committee does not exist, and cannot be claimed.
     Such demand seems demeaning and serving a persecutory line of acting.
     To this end, nor can a group of Staff Reps in The Hague claim a
     mandatory communication, since this can only be done on CL's own free
     will.


     =====================================================================
     Setting aside all the derogatory arguments, the only aspect relevant
     to be assessed was the merits of our candidate CL.


     Instead, the CSC allowed the introduction of offensive and fallacious
     statements and arguments, without questioning the context and/or
     relevance to the matter at hand, disparaging the image of our
     candidate CL in the eyes of the CSC members who subsequently voted to
     exclude her and observers of LSCs.


     In view of the foregoing, we consider that the events described could
     constitute mobbing. Given the seriousness of the events, TH-SR hereby
     requests that the CSC set up an internal inquiry committee in order
     to ascertain the legality and legitimacy of the conduct of staff rep
     members present at the CSC.


     We look forward to a favourable resolution of this matter.


     Kind regards,


     Alexandra Forjaz


     Cláudia Lopes


     Jorge Raposo


     Staff Representatives of the group The Heart of Staff Rep


Having looked at this twice already, including while recording the video, it
seems like a disorganised ramble or a rant. It does not make it clear what the
alleged misdeeds or misconduct may be. To me, it seems like someone isn't
compatible and is viewed as an obstruction. This can happen and is naturally a
part of how multi-person representation works, never mind if cross-site roles
are pursued or not. This seems like a minor detail.


An escalation is dated about 2 months ago and it's worded in an ugly, hostile
fashion.


Have a look:


     The Heart of Staff Rep
     with Staff at Heart


     The Hague, 1 November 2023


     Our_letter_of_20_September_2023_and_your_e-mail_of_13_October_2023


     Dear CSC Chair, dear Derek,


     With reference to your e-mail from 13 October 2023 concerning our
     request for an internal inquiry on 20 September 2023 and our reminder
     on 27.09.2023, we hereby take note that the CSC has not reacted to
     our request of 20 September 2023.


     We noticed that our letter was added for information on the CSC
     agenda on the 12 October 2023 under point 16g. On the 13 October you
     have informed us, without announcing any deadline, that the CSC
     requires more time to process our request.


     Today, two weeks later, we still did not receive any reaction from
     the CSC.


     Considering the seriousness of the events, taken place on the 31 of
     August and the 7 of September, giving rise to a presumption of the
     existence of misconduct (see arguments in our letter of 20
     September), we would have expected that our request would have been
     handled with due diligence and urgency by the CSC. In view of the
     absence of reply, we consider that the CSC has no means for internal
     regulation and proper governance to address events subject to
     workplace ethics.


     According to our service regulations, Art. 21(2), “An employee who,
     in the course of or in connection with his employment, becomes aware
     of facts which give rise to a presumption of the existence of
     misconduct shall without delay inform the unit in charge of
     investigating allegations or indications of misconduct, and shall
     transmit to it any information of which he is aware from which the
     existence of the irregularities may be presumed.”


     Therefore, staff representatives attending the meetings on 31.08.2023
     and/or 07.09.2023 have now become aware of facts that we – the Staff
     Representatives of The Heart of Staff Rep - consider as giving rise
     to a presumption of the existence of misconduct. The attending staff
     representatives are now subject to this obligation.


     Consequently, as the CSC is not competent to address our letter, we
     hereby expect the staff representatives attending the above mentioned
     CSC meetings to forward immediately our request dated 20 September
     2023 to the competent unit within the EPO.


     Kind regards,


     Alexandra Forjaz
     Cláudia Lopes
     Jorge Raposo


     Staff Representatives of the group The Heart of Staff Rep


Reading between the lines, and clearly seeing how they nonchalantly cite
service regulations, just like Battistelli et al, plus the insinuations they
would pursue relevant avenues in Office management, this certainly sounds like
a threat. Do they intend to contact the Investigative Unit? Have they already
done so?


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Judge_Gavel⦈_


As noted in the video, the Investigative Unit is more like a paramilitary force
working for those who break the law, breach their own Code of Conduct, and only
leverage "service regulations" against low-level staff that they dislike,
especially representatives.


If anyone knows more, or if somebody inside the Office has documents relevant
to this matter, please contact us securely. █




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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠲⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠳⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡯⢩⣽⠙⣟⣿⣿⣼⣟⣿⣿⣿⣿⣿⣿⡧⣾⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣾⣿⣫⡽⣿⣻⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⢡⡧⣟⣧⡄⠀⡦⠄⣄⡀⣄⡄⡄⢰⠀⢠⢠⢠⠁⠈⡏⢹⠤⢠⣤⠀⢰⠤⡇⣄⡄⠄⡄⡄⡄⣄⡄⡻⣸⡇⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⣟⣯⣡⣅⣁⣉⣁⡀⠁⠀⠈⠀⠁⠁⠁⠈⠀⣈⣉⣈⣀⣀⣁⣈⣀⣉⠉⠀⠈⠀⠁⠁⠁⠭⠃⢉⣁⣉⣉⣡⣺⡇⠀⠀⠀⢠⣠⡬⡩⠉⠍⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠻⠿⠿⠿⠛⠛⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⣶⣶⡖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⣟⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣶⣿⠋⠀⠀⠀⠈⠙⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣿⣮⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣼⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠉⠙⠒⠶⢤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣿⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣿⣿⣿⣿⣿⣿⣿⡇⠀⣬⠏⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠂⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠧⠀⠁⠀⠀⠀⠠⠤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣽⣿⣿⣿⣿⣿⣿⣿⣿⠟⡡⢀⣴⣾⣿⣿⣿⣶⣶⣄⠈⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣟⢋⢻⡟⡛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⣹⣿⣿⠛⠉⠀⠀⠀⠀⠈⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢣⠘⣿⣿⡟⢠⢁⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠷⠾⣿⡟⢁⢊⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⣷⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢃⠸⠟⢠⢃⣾⣿⠁⡇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢀⣀⣠⣶⡆⠆⢸⠀⠀⠀⠀⠸⠆⠀⠀⣿⣿⣯⣿⣿⣿⣯⠵⣈⠀⠀⠈⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠇⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⣿⣿⣿⣷⡀⡈⠀⢀⣀⡀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣏⣾⣿⣿⣿⣴⣦⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⢤⣀⣀⣼⣿⣿⣾⣴⣦⣤⣔⣲⣵⡿⠻⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠰⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠩⢑⣿⣿⣿⣿⡿⣿⠿⠿⠿⠛⠛⠁⠀⢠⣿⠿⢿⣿⣿⡯⠟⠁⠀⠀⠀⠀⠀⠀⠀⠩⢿⣿⣯⠉⣽⡏⣩⣤⡆⠀⢶⡆⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⣿⣿⡄⢸⡟⠁⠀⠀⠀⠀⠀⠀⢀⠹⠆⢸⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠿⢿⠀⢸⣷⣿⣿⠇⠀⠘⡇⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠿⠇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡅⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠘⠇⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠐⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠲⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠳⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢫⣽⠙⣟⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⡧⣾⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣽⣿⣻⣽⣿⣻⢿⣿⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣷⢢⡿⣿⣧⡄⠀⡆⠀⣠⣄⣤⡄⡤⢴⠄⢠⢤⢠⠅⠐⡖⢺⠤⣠⣤⡀⢰⠤⡆⣤⡄⠤⡄⡄⡄⣤⡔⡲⣸⡇⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⣟⣾⣡⣗⣃⣑⣁⠀⠁⠀⠁⠀⠁⠁⠁⠘⠀⠈⠊⠘⠀⢀⠁⠈⠀⠉⠒⠀⠈⠀⠁⠁⠁⠥⠃⢑⣃⣑⣑⣣⣻⡇⠀⠀⠀⢠⣠⡬⡩⠉⠩⢩⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠻⠿⠿⠿⠛⠛⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⣶⣶⡖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⣟⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣶⣿⠋⠀⠀⠀⠈⠙⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣿⣮⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣼⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠉⠙⠒⠶⠤⣄⣀⠀⠀⠈⠉⠙⠛⠿⠿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⡬⠏⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠂⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⠁⣀⠀⠀⠠⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣽⣿⣿⣿⣿⣿⣿⣿⣿⠟⠅⣠⣾⣿⣿⣿⣿⣶⣶⡄⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣟⢋⢻⡟⡛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣹⣿⣿⠛⠉⠀⠀⠀⠀⠁⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢣⠘⣿⣿⡟⢠⢁⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠯⠿⣿⡟⢁⢊⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣇⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢃⠸⠟⢠⢃⣾⣿⠁⡇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⣂⣶⡆⠆⢸⠀⠀⠀⠀⡶⠆⠀⠀⣿⣯⣿⣿⣿⣯⣒⡒⣤⠀⠀⠈⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⣿⣿⣿⣷⡀⡈⠀⢀⣀⡀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣏⣾⣿⣿⣿⣴⣦⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⢤⣀⣀⣼⣿⣿⣾⣴⣦⣤⣔⣲⣵⠿⢻⣿⣿⣿⣿⣯⣿⣿⠏⠀⠀⠀⠘⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠹⣿⣿⣿⣿⡿⣿⠿⠿⠿⠛⠛⠁⠀⢠⣿⠿⢿⣿⣿⡿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠩⢿⣿⣯⠉⣽⡏⣩⣤⡆⠀⢲⡆⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢿⣿⡄⢸⡟⠁⠀⠀⠀⠀⠀⠀⢈⠻⡆⢸⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠟⣿⠀⢸⣷⣿⣿⡇⠀⠘⡇⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠟⠇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢛⠁⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠐⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢫⣽⠙⣟⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⡧⣾⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣾⣿⣿⣽⣿⣻⢿⣿⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⢂⡧⣿⣧⡄⠀⡆⡀⣠⣄⢤⡄⡤⢴⠄⢠⢤⢠⠅⠐⡖⢲⠤⣀⣤⡀⢰⡀⡆⣤⡄⠤⡄⡄⡄⣤⡔⣲⣸⡇⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⡟⢿⡁⡗⠃⠓⠃⠀⠁⠀⠑⠂⠑⠁⠃⠘⠂⠈⠊⠘⠀⠀⠁⠘⠀⠉⠒⠀⠘⠀⠃⠓⠃⠷⠃⠓⠃⠓⢊⣣⢺⡇⠀⠀⠀⢠⣠⣬⣩⠉⠩⢭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠻⠿⠿⠿⠛⠛⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⣶⣶⡖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⣟⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣶⣿⠋⠀⠀⠀⠈⠙⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣿⣮⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣼⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠉⠙⠒⠶⢤⣄⣀⠀⠀⠈⠉⠙⠛⠿⠿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⡬⠏⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠂⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢰⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⠀⠁⣀⠀⠀⠠⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢠⣴⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⠆⣠⣾⣿⣿⣿⣿⣶⣦⡀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣟⢋⢻⡟⡛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⣹⣿⣿⠛⠉⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢣⠘⣿⣿⡟⢠⢁⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠾⠿⣿⡟⢁⢊⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢃⠸⠟⢠⢃⣾⣿⠁⡇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣀⣦⣶⡆⠆⢸⠀⠀⠀⠀⠿⠇⠀⠀⣿⣯⣿⣿⣿⣯⣒⢂⡄⠀⠀⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠠⠀⠂⠼⣾⣿⣿⣷⡀⡈⠀⢀⣀⡀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣏⣾⣿⣿⣿⣴⣦⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣀⣀⣼⣿⣿⣾⣴⣦⣤⣔⣲⣵⠿⢻⣿⣿⣿⣿⣯⣿⣿⠃⠀⠀⠀⠚⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠺⣿⣿⣿⣿⡿⣿⠿⠿⠿⠛⠛⠁⠀⢸⣿⠿⢾⣿⣷⡾⠃⠀⠀⠀⠀⠀⠀⠀⠈⠩⢿⣿⣯⠉⣽⡏⣩⣤⡆⠀⢶⡆⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠿⣿⣿⡄⢸⠟⠁⠀⠀⠀⠀⠀⠀⠈⠻⡆⢸⡿⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡟⣿⠀⢸⣷⣿⣿⡃⠀⢸⡇⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠻⠃⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠛⠋⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠘⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠲⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠳⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢫⣽⠙⣟⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⡷⣾⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣼⣿⣿⣽⣿⣻⣿⣿⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⢒⡷⡿⡧⡀⠀⣄⡀⡠⢄⠠⡀⡤⢤⠄⢀⢄⢠⠄⠐⡖⢲⢤⢀⠤⡀⢰⣀⡆⠠⡀⡤⡄⡄⡄⡤⡀⣲⣸⡇⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⡟⢾⡡⡗⠃⠓⠃⠀⠃⠀⠑⠂⠓⠃⠃⠘⠂⠘⠚⠘⠀⠀⠃⠘⠀⠋⠒⠀⠘⠀⠃⠓⠃⠒⠇⠓⠃⠓⢊⣣⢺⡇⠀⠀⠀⢠⣠⡬⡩⠉⡩⢍⣭⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠻⠿⠿⠿⠛⠛⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⣶⣶⡖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⣟⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣾⣿⠋⠀⠀⠀⠈⠙⠒⠦⢤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣿⣮⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣼⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠉⠙⠒⠶⢤⣄⣀⠀⠀⠈⠉⠙⠛⠿⠿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣼⣿⣿⣿⣿⣿⣿⣿⡇⠀⣬⠏⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠂⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠇⠈⠁⣀⡀⠀⠠⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣽⣿⣿⣿⣿⣿⣿⣿⣿⢛⠕⣠⣾⣿⣿⣿⣿⣷⣶⡄⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣟⢋⢻⡟⡛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣹⣿⣿⠛⠉⠀⠀⠀⠀⠁⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢣⠘⣿⣿⡟⢠⢁⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠶⠿⣿⡟⢁⢊⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣧⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢃⠸⠟⢠⢃⣾⣿⠁⡇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⢀⣐⣢⣶⡆⠆⢸⠀⠀⠀⠀⡶⠆⠀⠀⣿⣿⣿⣿⣿⣿⡷⠖⣤⠀⠀⠈⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠼⣿⣿⣿⣷⡀⡈⠀⢀⣀⡀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣏⣾⣿⣿⣿⣴⣦⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣂⣠⣀⣀⣼⣿⣿⣾⣴⣦⣤⣔⣲⣵⠿⢻⣿⣿⣿⣿⣿⣽⣿⡿⠀⠀⠀⠘⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣙⣿⣿⣿⣿⣿⣿⠿⠿⠿⠛⠛⠁⠀⢰⣿⠿⢿⣿⣿⡫⠞⠁⠀⠀⠀⠀⠀⠀⠀⠩⠿⣿⣯⠉⣽⡏⣩⣤⡆⠀⢶⡆⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢿⣿⣿⡄⢸⡟⠁⠀⠀⠀⠀⠀⠀⢈⠻⡆⢸⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡟⣿⠀⢹⣷⣿⣿⡇⠀⠘⡇⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠙⠟⠇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⢒⡇⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠐⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠶⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠳⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢫⣽⠙⣟⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⡿⣾⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣼⣿⣿⣽⣿⣻⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⢻⢛⣯⡿⣯⡉⠀⣄⡀⡀⠀⠀⡀⡄⢠⠈⢈⢅⢩⠍⠙⡟⢻⣩⢉⢌⠀⢰⣀⡆⠀⡀⡀⡀⡀⡍⣩⡉⢻⣹⡇⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⡟⢾⠡⡗⠋⠛⠃⠀⠃⠀⠙⠃⠛⠃⠃⠘⠂⠘⠚⠘⠀⠀⠃⠘⠀⠛⠛⠁⠘⠀⠃⠛⠃⢒⠇⠓⠃⢛⢋⣣⣺⡇⠀⠀⠀⢠⣠⡬⡩⠉⠩⠉⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠛⠻⠿⠿⠿⠛⠛⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⣶⣶⡖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⣟⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣶⣿⠋⠀⠀⠀⠈⠙⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣿⣮⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣼⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠉⠙⠒⠶⢤⣄⣀⠀⠀⠈⠉⠙⠛⠿⠿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡐⣼⣿⣿⣿⣿⣿⣿⣿⡇⠀⣬⠏⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠂⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⠿⠇⠀⠁⠀⠀⠀⠠⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⡕⢀⣴⣾⣿⣿⣿⣶⣦⣄⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣟⢋⢻⡟⡛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡈⣹⣿⣿⠛⠉⠀⠀⠀⠀⠁⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢣⠘⣿⣿⡟⢠⢁⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠿⠾⣿⡟⢁⢊⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢃⠸⠟⢠⢃⣾⣿⠁⡇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⣢⣶⠆⠆⢸⠀⠀⠀⠀⡷⠆⠀⠀⣿⣿⣿⣿⣿⣿⣫⣥⢀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠇⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⣿⣷⡀⡈⠀⢀⣀⡀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣶⡿⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣏⣾⣿⣿⣿⣴⣦⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣤⣀⣀⣼⣿⣿⣾⣴⣦⣤⣔⣲⣵⠿⢻⣿⣿⣿⣿⣿⣯⣿⡿⠁⠀⠀⠘⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⢹⣿⣿⣿⣿⡿⣿⠿⠿⠿⠛⠛⠁⠀⢰⣿⠿⢿⣿⣯⡭⠟⠁⠀⠀⠀⠀⠀⠀⠀⠩⢿⣿⣯⠉⣽⡏⣩⣤⡆⠀⢶⡦⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠾⢿⣿⡄⢸⠟⠁⠀⠀⠀⠀⠀⠀⠈⠻⠆⢸⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠟⢿⠀⢻⣷⣿⣿⠃⠀⠸⠇⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠸⠿⠇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠈⡃⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠐⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠲⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠳⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢫⣽⠙⣟⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⡯⣼⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣼⣿⣿⣽⣿⣻⢿⣿⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⢉⣏⣟⣋⡉⠀⣄⡀⢀⡀⡀⡀⣀⢠⠉⢉⣉⢉⡉⠉⡍⢹⣉⢉⣉⠉⢡⣀⡄⡀⡀⣀⡀⡀⡉⣉⡉⢭⣹⡇⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣶⣶
⣿⣿⡟⢿⠡⡗⠇⠋⠃⠀⠃⠀⠋⠉⠋⠃⠃⠘⠀⠘⠘⠘⠀⠀⠃⠘⠀⠛⠋⠁⠘⠀⠃⠋⠃⣂⠇⠃⠃⠋⢛⣣⢾⡇⠀⠀⠀⢠⣠⡬⡩⠉⠩⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠲⠶⠷⠾⠒⠒⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⣶⣶⡖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⣟⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣶⣿⠋⠀⠀⠀⠈⠙⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣿⣮⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣸⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠉⠙⠒⠶⢤⣄⣀⠀⠀⠈⠉⠙⠛⠿⠿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡠⢼⣿⣿⣿⣿⣿⣿⣿⡇⠀⡬⠏⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠂⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢡⣾⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⠀⠁⠀⠀⠀⠠⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣢⣾⣿⣿⣿⣿⣿⣿⣿⡿⢋⠆⣠⣶⣿⣿⣿⣷⣶⣤⡀⠉⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣟⢋⢻⡟⡛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⠛⠉⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢣⠘⣿⣿⡟⢠⢁⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠾⠾⣿⡟⢁⢊⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢃⠸⠟⢠⢃⣾⣿⠁⡇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢀⣐⣀⣲⡆⠆⢸⠀⠀⠀⠀⡶⠆⠀⠀⣿⣿⣿⣿⣿⣟⠭⠅⡁⠀⠀⠁⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠇⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠿⣿⣿⣿⣷⡀⡈⠀⢀⣀⡀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣏⣾⣿⣿⣿⣴⣦⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣃⣠⣀⣠⣼⣿⣿⣾⣴⣦⣤⣔⣲⣵⠟⢿⣿⣿⣿⣿⣟⣿⣿⠏⠀⠀⠀⠚⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠚⠺⣿⣿⣿⣿⣿⣿⠿⠿⠿⠛⠋⠁⠀⢸⣿⠿⢿⣿⣭⡿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠉⠿⣿⣯⠉⣽⡏⣩⣤⡆⠀⢶⡆⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠿⢿⣿⡄⢸⠟⠁⠀⠀⠀⠀⠀⠀⠈⠻⠆⢸⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠿⣿⠀⢹⣷⣿⣿⠇⠀⠸⡇⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠸⠇⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢫⣽⠙⣟⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⡧⣾⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣼⣿⣿⣽⣿⣻⣿⣿⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⢭⣯⣿⣏⡉⠁⡄⠀⢀⡀⣀⡀⣈⣩⡉⢉⣉⢉⡉⠩⡭⢭⣉⠉⣉⠉⢩⠉⡄⣀⡀⣀⡀⡈⡉⣉⡉⢭⣹⡇⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⡟⢿⠁⡇⢇⠫⠃⠀⠃⠀⠋⠍⠪⠃⠇⠸⠄⠘⠜⠸⠀⠀⠃⠸⠀⠛⠭⠁⠸⠀⠇⠫⠇⣢⠇⠣⠇⢫⢏⢧⣻⡇⠀⠀⠀⢠⣠⡬⣩⠉⢩⢩⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣶⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠲⠶⠶⠶⠒⠒⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣾⣾⣿⣿⣿⡇⠀⠀⠀⠐⣶⣶⡖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⣟⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣾⣿⠋⠀⠀⠀⠈⠙⠒⠦⢤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣿⣮⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣼⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠉⠙⠒⠶⢤⣄⣀⠀⠀⠈⠉⠙⠛⠿⠿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣔⣼⣿⣿⣿⣿⣿⣿⣿⡇⠀⣬⠏⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠂⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣄⣽⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⠀⠁⠀⠀⠀⠤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣷⣼⣿⣿⣿⣿⣿⣿⣿⡿⢋⠇⣠⣶⣿⣿⣿⣶⣶⣤⡀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣟⢋⢻⡟⡛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⠛⠉⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢣⠘⣿⣿⡟⢠⢁⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠷⠭⣿⡟⢁⢂⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⡎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢃⠸⠟⢠⢃⣾⣿⠁⡇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡱⢀⣐⣀⣶⡆⠆⢸⠀⠀⠀⠀⡶⠆⠀⠀⣿⣿⣿⣿⣿⣟⠭⠍⡁⠀⠀⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠼⣿⣿⣿⣷⡀⡈⠀⢀⣀⡀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣏⣾⣿⣿⣿⣴⣦⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⢠⣀⣠⣼⣿⣿⣾⣴⣦⣤⣔⣲⣵⠟⢻⣿⣿⣿⣿⣟⣿⣿⠇⠀⠀⠀⠙⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣺⠹⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠉⠀⠀⠸⣿⠿⢿⣿⣯⡭⠋⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣯⠉⣽⡏⣩⣤⡆⠀⢶⡆⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠘⣿⣿⡄⢸⠟⠁⠀⠀⠀⠀⠀⠀⠀⠙⠆⢸⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠿⣿⠀⢻⣷⣿⣿⠇⠀⠘⠇⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠸⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠐⡃⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠘⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠳⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢫⣽⠙⣟⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⡷⣾⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣼⣿⣿⣽⣿⣻⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⢿⢭⣍⣫⣏⡉⠁⡄⠀⢀⡀⢀⡀⣈⣉⡉⢉⣉⢉⡉⠩⡭⢭⣉⠉⣉⠉⢩⠉⡄⣀⠀⣀⡀⡈⡉⣉⡉⢭⣹⡇⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⡟⢿⡁⡗⠇⠯⠅⠀⠏⠁⠣⠌⠦⠇⠇⠸⠄⠸⠼⠸⠀⠀⠇⠸⠀⠟⠭⠁⠸⠉⠇⠦⠇⣥⡇⠧⠇⢯⢝⣯⢻⡇⠀⠀⠀⢠⣠⡬⡩⠉⢩⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⣷⣷⣶⣶⣶⣶⣶⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠲⠶⠶⠶⠒⠒⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣾⣶⣾⣿⡇⠀⠀⠀⠐⣶⣶⡖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⣻⢯⣿⣟⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣶⣿⠋⠀⠀⠀⠈⠙⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣿⣮⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣸⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠉⠙⠒⠶⠤⣄⣀⠀⠀⠈⠉⠙⠛⠿⠿⣿⣿⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⣾⣿⣿⣿⣿⣿⣿⡇⠀⡬⠏⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠂⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⣍⣨⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⠁⠀⠀⠀⠠⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⠟⡑⢀⣴⣾⣿⣿⣿⣶⣦⣄⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣟⢋⢻⡟⡛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⣹⣿⣿⠛⠉⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢣⠘⣿⣿⡟⢠⢁⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠾⠿⣿⡟⢁⢊⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⣷⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢃⠸⠟⢠⢃⣾⣿⠁⡇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢀⣐⣠⣶⡆⠆⢸⠀⠀⠀⠀⢰⠆⠀⠀⣿⣿⣿⣿⣿⣿⣫⠭⢉⠀⠀⠈⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠇⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⣿⣷⡀⡈⠀⢀⣀⡀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣏⣾⣿⣿⣿⣴⣦⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡒⢠⣀⣠⣼⣿⣿⣾⣴⣦⣤⣔⣲⣵⠿⠻⣿⣿⣿⣿⣿⣻⣿⡟⠁⠀⠀⠐⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠭⢸⣿⣿⣿⣿⡿⣿⠿⠿⠿⠛⠋⠁⠀⠀⣿⠿⢿⣻⣭⡭⠟⠁⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣯⠉⣽⡏⣩⣤⡆⠀⢲⡦⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⢻⣿⡄⢸⡿⠁⠀⠀⠀⠀⠀⠀⠀⠙⠆⢸⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠟⣿⠀⢹⣷⣿⣿⠃⠀⠘⡇⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠜⠿⠇⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠙⡁⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠐⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠳⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢫⣽⠙⣟⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⡯⣾⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣼⣿⣿⣽⣿⣻⣿⣿⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⢿⢿⣿⣻⣟⠉⠁⡀⠀⠀⠀⢀⠀⣈⣉⡉⠉⡉⢉⡙⠻⡿⢭⣉⠉⣉⠉⢩⠉⡄⢀⠀⢀⡀⠈⡛⢛⠙⢿⣻⡇⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⡟⢿⠡⡗⢇⠷⠇⠀⠏⠁⠣⠄⠶⠇⠇⠸⠄⠸⠼⠸⠀⠀⠇⠸⠈⠞⠶⠁⠸⠉⠇⠦⠇⠥⡇⠧⠇⠷⢟⣏⣺⡇⠀⠀⠀⢠⣠⡬⡩⠉⢩⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⣷⣷⣾⣶⣶⣶⣶⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠲⠶⠶⠶⠒⠒⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣾⣶⣾⣿⡇⠀⠀⠀⠐⣶⣶⡖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⣻⢯⣿⣟⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣾⣿⠋⠀⠀⠀⠈⠙⠒⠦⢤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣿⣮⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣸⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠉⠙⠒⠶⢤⣄⣀⠀⠀⠈⠉⠙⠛⠿⠿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣼⣿⣿⣿⣿⣿⣿⣿⡇⠀⡬⠏⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠂⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⠁⠀⠀⠀⠠⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⡑⢀⣶⣾⣿⣿⣷⣶⣦⡀⠨⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣟⢋⢻⡟⡛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⠛⠉⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢣⠘⣿⣿⡟⢠⢁⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠶⠾⣿⡟⢁⢂⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⣧⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢃⠸⠟⢠⢃⣾⣿⠁⡇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢀⣐⣂⣶⡆⠆⢸⠀⠀⠀⠀⡿⠆⠀⠀⣿⣿⣿⣿⣿⣟⠭⠍⡉⠀⠀⠈⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣷⡀⡈⠀⢀⣀⡀⠀⢀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣏⣾⣿⣿⣿⣴⣦⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣀⣠⣼⣿⣿⣾⣵⣦⣤⣔⣲⣵⠻⢻⣿⣿⣿⣿⣻⣿⣿⠏⠀⠀⠀⠺⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠹⣿⣿⣿⣿⡿⣿⠿⠿⠟⠛⠋⠁⠀⢰⣿⠿⢿⣿⣭⡽⠋⠀⠀⠀⠀⠀⠀⠀⠈⠩⢿⣿⣯⠉⣽⡏⣩⣤⡆⠀⢶⡆⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣼⣿⣿⡄⢸⡟⠁⠀⠀⠀⠀⠀⠀⠀⠻⠆⢸⡟⡋⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠯⣿⠀⢸⣷⣿⣿⠇⠀⠘⡗⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠩⠿⠿⠇⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡋⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠝⡏⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠘⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢫⣽⠙⣟⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⡯⣾⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣼⣿⣿⣽⣿⣻⣿⣿⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡟⣻⢟⠛⠁⡀⠀⠀⠀⠀⠀⠈⢉⠙⠛⠛⠛⠛⠻⡿⢿⠛⠛⠋⠛⢩⠉⡄⠀⠀⠀⠀⠈⠛⠛⠛⢿⣻⡇⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⡟⢿⠡⡇⠇⡿⠇⠀⠏⠁⠲⠃⠗⠇⠇⠸⠀⠸⠼⠸⠀⠀⠇⠸⠉⠸⠿⠂⠸⠉⠇⠗⠇⠅⡇⠧⠇⢷⢟⣯⣻⡇⠀⠀⠀⢠⣠⡬⡩⠉⠭⢩⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⣷⣷⣶⣶⣶⣶⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠶⠤⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⣶⣶⣾⣶⣾⣿⡇⠀⠀⠀⠠⣶⣶⡖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⣻⢯⣿⣟⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣶⣿⠋⠀⠀⠀⠈⠙⠒⠦⢤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣿⣯⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⢽⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠙⠒⠶⢤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⢾⣿⣿⣿⣿⣿⣿⣿⡇⠀⣬⠏⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠂⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣽⣽⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⠀⠀⢀⡀⠀⠀⠠⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⢋⡕⢁⣴⣿⣿⣿⣿⣷⣶⣦⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣟⢋⢻⡟⡛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠈⣹⣿⣿⠛⠉⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⡌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢠⢁⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠿⠿⣿⡟⢀⢊⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢃⠸⠟⢠⢃⣾⣿⠀⡇⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢀⣐⣢⣶⡆⠆⢸⠀⠀⠀⠀⢸⠇⠀⠀⣿⣿⣯⣿⣿⣿⣯⣕⢂⡀⠀⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢇⣾⣿⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠾⣿⣿⣿⣷⡠⡈⠀⢀⣀⡀⠀⢀⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣏⣾⣿⣿⣿⣴⣦⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⢤⣀⣀⣼⣿⣿⣾⣵⣦⣤⣔⣲⣵⠟⠛⣿⣿⣿⣿⣿⣯⣿⡿⠁⠀⠀⠐⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠼⣿⣿⣿⣿⡿⣿⠿⠿⠟⠛⠋⠁⠀⠀⣿⠿⢿⣾⣿⠷⠞⠁⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣯⠉⣽⡏⣩⣤⡆⠀⢶⡆⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠿⣿⣿⡄⢸⡟⠁⠀⠀⠀⠀⠀⠀⠀⠙⠇⢸⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠟⣿⠀⢹⣷⣿⣿⠃⠀⢸⡇⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠽⠃⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠘⡃⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢩⡽⠙⣟⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⡧⣾⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣽⣿⣿⣽⣿⣻⢿⣿⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣻⣛⡟⣛⠛⠛⠃⡀⠀⠀⠀⠀⠀⠘⢛⠛⠛⠛⠛⠛⢛⣛⣛⠛⠛⠛⠛⢛⠋⡀⠀⠀⠒⠀⠘⠛⢛⠛⣛⣻⡇⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⡟⢿⠡⡏⡇⣟⠇⠀⠇⠀⠞⠓⢟⠇⡏⢹⠁⠸⡹⢸⠁⠀⠇⠸⠉⠼⣛⠂⠸⠀⡇⠟⠇⠍⡇⢇⡇⢟⢏⣯⣻⡇⠀⠀⠀⢠⣠⡬⡩⠉⠭⢭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⣷⣷⣾⣶⣶⣶⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⣴⣶⣾⣶⣾⣿⡇⠀⠀⠀⠠⣶⣶⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⣻⢯⣿⣟⣿⣻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣶⣿⠋⠀⠀⠀⠈⠙⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣿⣯⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣹⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠙⠒⠶⠤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣿⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣼⣿⣿⣿⣿⣿⣿⣿⡇⠀⣬⠏⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠂⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡠⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⠀⠀⢀⠀⠀⠀⠠⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣼⣿⣿⣿⣿⣿⣿⣿⣿⢋⡕⢀⣶⣿⣿⣿⣿⣶⣶⣄⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣟⢛⢻⡟⡛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡉⣹⣿⣿⠛⠉⠀⠀⠀⢀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⡌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢢⠘⣿⣿⡿⢠⢁⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠾⠽⣿⡟⢀⢂⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⢿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢃⠸⠟⢠⢃⣾⣿⠀⡇⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⣠⣶⡆⠆⢸⠀⠀⠀⠀⠾⠇⠀⠀⣿⣿⣿⣿⣿⣿⡫⠭⢉⠀⠀⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢇⣾⣿⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⡿⣿⣷⡠⡈⠀⢀⣀⡀⠀⢀⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣏⣾⣿⣿⣿⣴⣦⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⣄⣀⣠⣼⣿⣿⣾⣵⣦⣤⣐⣲⣵⡿⠻⣿⣿⣿⣿⣿⣻⣿⡿⠁⠀⠀⠐⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠹⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠛⠁⠀⠀⣿⠿⢿⣿⣿⠭⠟⠁⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣯⠉⣽⡏⣩⣤⡆⠀⢶⡆⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠚⣿⣿⡄⢸⡿⠁⠀⠀⠀⠀⠀⠀⠀⠙⠆⢸⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠿⣿⠀⢸⣷⣿⣿⠇⠀⠘⡇⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⠿⠇⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣁⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠩⠃⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢫⣽⠙⣛⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⡏⣼⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣼⣿⣻⣽⣿⣻⢿⣿⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣛⡛⣟⠛⠛⠃⡀⠀⠀⠀⠀⠀⠘⢛⠛⠛⠛⠛⠛⢛⣛⣛⠛⠛⠛⠛⢛⠋⡀⠀⠀⠒⠀⠘⠛⠛⠛⣛⣻⡇⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⡟⢿⠡⡏⡇⣟⡃⠀⡗⠂⢞⡓⣜⡇⡏⢹⡁⢸⣹⢸⠁⠀⡇⢸⠉⡰⣛⠂⢸⠒⡇⣝⡆⣉⡇⣇⡇⣟⣋⣿⣺⡇⠀⠀⠀⢠⣠⡬⡩⠉⠩⢍⣭⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⣧⣿⣾⣦⣴⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⣤⣦⣬⣤⣼⣿⡇⠀⠀⠀⠠⣶⣶⡖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⣻⢯⣿⣟⣿⣻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣶⣿⠋⠀⠀⠀⠈⠙⠒⠦⢤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣿⣯⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⢿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣽⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠙⠒⠶⢤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣿⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠤⣄⣷⣿⣿⣿⣿⣿⣿⣿⡇⠀⣬⠏⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠂⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣥⣷⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⠁⠀⣀⡀⠀⠠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⣫⠊⣠⣾⣿⣿⣿⣿⣶⣦⡀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣟⢛⢻⡟⡛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣹⣿⣿⠛⠉⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣗⠀⢈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢠⢁⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠷⠿⣿⡟⢁⢊⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⡿⡟⠀⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢃⠸⠟⢠⢃⣾⣿⠀⡇⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠅⢀⣀⣠⣶⡆⠆⢸⠀⠀⠀⠀⠀⠇⠀⠀⣿⣿⣿⣿⣿⣿⣯⣒⡒⡄⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢇⣾⣿⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠽⣿⡿⣿⣷⡠⡈⠀⢀⣀⡀⠀⢀⢀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣏⣾⣿⣿⣿⣴⣦⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⢠⣀⣠⣼⣿⣿⣾⣵⣦⣤⣔⣲⣵⡿⠛⢿⣿⣿⣿⣿⣯⣿⣿⠃⠀⠀⠐⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠭⣿⣿⣿⣿⣿⣿⠿⠿⠿⠛⠛⠁⠀⠀⣿⠿⢿⣿⣿⡷⠞⠃⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣯⠉⣽⡏⣩⣤⡆⠀⢶⡆⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣞⣿⣿⡄⢸⡿⠋⠀⠀⠀⠀⠀⠀⠀⠘⠇⢸⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠿⣿⠀⢸⣷⣿⣿⠇⠀⠸⡇⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠿⠇⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠘⠃⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠐⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠳⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢫⣽⠙⣟⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⡏⣼⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣼⣿⣻⣽⣿⣻⢿⣿⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣻⣛⡛⣛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠘⠛⠛⠛⠛⠛⠛⢛⣛⣛⠛⠛⠛⠛⢛⠋⡀⠀⠀⠒⠀⠘⠛⠛⠛⣛⣻⡇⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⡟⢾⡡⡟⡇⣏⡃⠀⡗⠂⢎⡑⣌⡆⡏⢹⡁⢰⣱⢸⠁⠀⡇⢸⠉⠰⣉⠂⢸⠒⡇⣌⡆⣊⡇⣇⡇⣯⣞⣿⣾⡇⠀⠀⠀⢠⣠⡬⡩⠉⠩⠉⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⣧⣷⣾⣦⣴⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣤⣤⣬⣦⣼⣿⡇⠀⠀⠀⠠⣶⣶⡖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⣻⢯⣿⣟⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣶⣿⠋⠀⠀⠀⠈⠙⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣿⣯⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣽⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠙⠒⠶⢤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣿⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣼⣿⣿⣿⣿⣿⣿⣿⡇⠀⣬⠏⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠂⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣦⣾⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⢀⣁⣀⣀⠀⠀⠠⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣽⣽⣿⣿⣿⣿⣿⣿⣿⠟⡵⢁⣼⣿⣿⣿⣿⣿⣷⣦⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣟⢛⢻⡟⡛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣹⣿⣿⠛⠉⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⡌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢠⢁⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠵⠿⣿⡟⢁⢂⠀⠀⠀⠀⢀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡿⠿⠇⠀⢿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢃⠸⠟⢠⢃⣾⣿⠀⡇⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⢀⣐⣢⣶⡆⠆⢸⠀⠀⠀⠀⢸⠃⠀⠀⣿⣿⣷⣿⣿⣿⣿⣚⢣⡄⠀⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢇⣾⣿⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠴⣿⣿⣿⣷⡠⡈⠀⢀⣀⡀⠀⢀⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣏⣾⣿⣿⣿⣴⣦⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣀⣠⣬⣿⣿⣾⣵⣦⣤⣔⣲⣵⠿⠛⣿⣿⡿⣿⣿⣽⣿⡟⠁⠀⠀⠘⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢸⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠋⠁⠀⠀⣿⠿⢿⣶⣶⡾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣯⠉⣽⡏⣩⣤⡆⠀⢶⡆⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠾⣿⣿⡄⢸⡿⠁⠀⠀⠀⠀⠀⠀⠀⠙⠆⢸⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠟⣿⠀⢹⣷⣿⣿⠇⠀⢘⡇⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠹⠯⠇⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠹⡃⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠘⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠳⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢫⣽⠙⣛⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⡟⣼⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣼⣿⣻⣽⣿⣻⢿⣿⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡿⡿⠿⠿⠃⠀⠀⠀⠀⠀⠀⠘⠛⠿⠿⠿⠿⠿⢿⣿⣿⠿⠟⠟⠛⢛⠋⡀⠀⠀⠒⠀⠘⠿⢿⠟⣿⣿⡇⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⡟⢿⡡⡟⡇⣯⡇⠀⡗⠂⢦⡄⣤⡆⡆⢸⡀⢰⣱⢰⠁⠀⡇⢸⠚⢴⣴⠀⢸⠒⡇⣤⡆⣂⡆⣆⡇⣮⣎⣟⣾⡇⠀⠀⠀⢠⣠⡬⡩⠉⠭⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⣧⣷⣾⣦⣴⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠠⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠁⣤⣦⣬⣤⣼⣿⡇⠀⠀⠀⠠⣶⣶⡖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⣻⢯⣿⣟⣿⣻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣶⣿⠋⠀⠀⠀⠈⠙⠒⠦⢤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣿⣯⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⢿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣽⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠙⠒⠶⢤⣄⣀⠀⠀⠈⠉⠙⠛⠿⠿⣿⣿⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣐⣽⣿⣿⣿⣿⣿⣿⣿⡇⠀⣬⠏⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠂⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⠀⣁⣀⣀⡀⠀⠤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢀⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠟⡑⢀⣼⣿⣿⣿⣿⣿⣿⣦⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣟⢛⢻⡟⡛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣹⣿⣿⠛⠉⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢠⢁⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠰⠿⣿⡟⢁⢊⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡿⠿⠇⠀⢷⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢃⠸⠟⢠⢃⣾⣿⠀⡇⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⢀⣀⣢⣶⡆⠆⢸⠀⠀⠀⠀⢸⠇⠀⠀⣿⣿⣿⣾⣿⣿⣿⣞⣣⡄⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢇⣾⣿⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠲⣿⣿⣿⣷⡠⡈⠀⢀⣀⡀⠀⢀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣏⣾⣿⣿⣿⣴⣦⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢠⣀⣀⣼⣿⣿⣾⣵⣦⣤⣔⣲⣵⡿⠛⢿⣿⣿⣿⣿⣯⣾⢿⠃⠀⠀⠐⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢜⣻⣿⣿⣿⠿⣿⠿⠿⠿⠛⠛⠁⠀⠀⣿⠿⢿⣿⣿⡷⠒⠃⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣯⠉⣽⡏⣩⣤⡆⠀⢶⣦⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⣿⣿⡄⢸⡿⠋⠀⠀⠀⠀⠀⠀⠀⠘⠆⢸⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠿⣿⠀⢸⣷⣿⣿⡇⠀⢘⡷⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠺⠿⠆⠸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠨⠃⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠳⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢫⣽⠙⣟⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⡟⣼⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣼⣿⣻⣽⣿⣻⢿⣿⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⠿⢿⡿⡿⠿⠿⠃⠀⠀⠀⠀⠀⠀⠘⠿⠿⠿⠿⠿⠿⠿⠿⢿⠿⠿⠿⠿⠯⠋⠀⠀⠀⠒⠀⠸⠿⢿⠿⠿⣿⡇⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⡟⢿⠡⡗⡇⡶⡇⠀⡗⠂⡴⠦⡦⡆⡖⢘⠀⢰⢲⢰⠂⠀⡇⢸⠒⢰⡶⠄⢸⠒⡇⡶⡆⡒⡆⣆⡆⣶⣞⣿⣾⡇⠀⠀⠀⢠⣠⡬⡩⠉⠍⢩⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⣧⣿⣶⣦⣥⣬⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠁⣤⣥⣬⣤⣽⣿⡇⠀⠀⠀⠠⣶⣶⡖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⣻⢯⣿⣟⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣶⣿⠋⠀⠀⠀⠈⠙⠒⠦⢤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣟⣯⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣽⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠙⠒⠶⢤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣿⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⣬⠏⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠂⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣽⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⣁⣀⡀⠀⠀⠤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⠟⡑⢀⣾⣿⣿⣿⣿⣿⣷⣄⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣟⢛⢻⡟⡛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣹⣿⣿⠛⠉⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢠⢁⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⢿⣿⡟⢁⢂⠄⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠿⠿⠁⠀⢿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢃⠸⠟⢠⢃⣾⣿⠀⡇⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠵⢀⣐⣢⣶⡆⠆⢸⠀⠀⠀⠀⢸⠇⠀⠀⣿⣿⣿⣿⣿⣿⣷⣛⣰⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢇⣾⣿⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠽⣿⣿⣿⣷⡠⡈⠀⢀⣀⡀⠀⢀⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣏⣾⣿⣿⣿⣴⣦⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢠⣀⣀⣬⣿⣿⣾⣵⣦⣤⣔⣲⣵⡿⠛⣿⣿⣿⣿⣿⣽⣿⡟⠀⠀⠀⠘⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣼⣿⣿⣿⣿⣿⣿⠿⠿⠿⠛⠛⠉⠀⠀⣿⠿⢿⣶⣶⡾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣯⠉⣽⡏⣩⣤⡆⠀⢶⡦⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡪⢿⣿⡄⢸⡿⠋⠀⠀⠀⠀⠀⠀⠀⠘⠆⢸⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠿⣿⠀⢸⣷⣿⣿⡃⠀⢘⡏⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠚⠿⠇⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠙⠋⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠘⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠳⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢫⣽⠙⣟⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⡟⣾⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣼⣿⣻⣽⣿⣻⢿⣿⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡿⢿⡿⣿⠿⠿⠇⠀⠀⠀⠀⠀⠀⠼⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠷⠀⠀⠀⠒⠀⠸⠿⢿⠿⠿⣿⡇⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⡟⢿⡩⡗⡇⡶⠆⠀⡧⠄⡴⠦⡲⡆⡖⠚⠂⢰⢲⢰⠂⠈⡏⢹⠒⢠⠶⠄⢸⠤⡇⡲⡄⠒⡆⡆⡆⣶⢞⣿⣺⡇⠀⠀⠀⢠⣠⡬⡩⡍⠍⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⣧⣛⣶⣧⣑⣉⣁⣀⠁⠀⠈⠁⠈⠁⠁⠈⠁⠀⠉⠈⠀⠀⠀⠈⠀⠀⠉⠀⠈⠀⠁⠉⠁⠛⠁⣉⣁⣩⣅⣹⣻⡇⠀⠀⠀⠰⣶⣶⡖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⣻⢯⣿⣟⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣶⣿⠋⠀⠀⠀⠈⠙⠒⠦⢤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣿⣯⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣽⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠙⠒⠶⢤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣐⣼⣿⣿⣿⣿⣿⣿⣿⡇⠀⣬⠏⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠂⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣔⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⣁⣀⠀⠀⠀⠤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡉⣠⣾⣿⣿⣿⣿⣿⣶⡄⠀⠝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣟⢛⢻⡟⡛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠁⣹⣿⣿⠛⠉⠀⠀⠀⠀⠈⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⡌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢢⠘⣿⣿⡿⢠⢁⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⣿⡟⢁⢂⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⠿⠿⢿⠀⠀⢿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢃⠸⠟⢠⢃⣾⣿⠀⡇⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⢀⣐⣢⣶⡆⠆⢸⠀⠀⠀⠀⢰⠆⠀⠀⣿⣯⣿⣿⣿⣿⣛⣻⣾⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢇⣾⣿⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠼⣿⣿⣿⣷⡠⡈⠀⢀⣀⡀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣏⣾⣿⣿⣿⣴⣦⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢠⣀⣀⣼⣿⣿⣾⣵⣦⣤⣔⣲⣵⡿⠻⣿⣿⣿⣿⣽⣿⣿⠏⠀⠀⠀⠘⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⢺⣿⣿⣿⣿⣿⣿⠿⠿⠿⠛⠛⠁⠀⠀⣿⠿⢿⣿⣿⡿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣯⠉⣽⡏⣩⣤⡆⠀⢶⡦⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡻⣿⣿⡄⢸⡿⠋⠀⠀⠀⠀⠀⠀⠀⠘⠆⢸⣿⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠿⣿⠀⢸⣷⣿⣿⠇⠀⢸⡇⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠹⠿⠇⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠅⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣭⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠙⠉⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠘⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠳⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢫⣽⠙⣟⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⡏⣾⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣼⣿⣻⣽⣿⣻⢿⣿⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⠿⢿⡿⡿⠿⠿⠇⠀⠀⠀⠀⠀⠀⠼⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠧⠀⠀⠀⠒⠀⠸⠿⠿⠿⠿⣿⡇⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⡟⢿⠩⡗⡇⡶⠅⠀⡧⠄⡔⠢⡐⡄⡖⠒⠂⢠⢢⢰⠂⠈⡏⢹⠒⢠⠒⠄⢸⠤⡇⡒⡄⠖⡆⡆⡆⣶⢞⣿⣻⡇⠀⠀⠀⢠⣠⡬⡩⡍⠍⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⣧⣛⣾⣡⣑⣉⣁⣀⠁⠀⠈⠁⠉⠁⠁⠈⠁⠈⠉⠈⠀⠀⠁⠈⠀⠀⠉⠀⠈⠀⠁⠉⠁⠛⠃⣉⣁⣩⣅⣹⣿⡇⠀⠀⠀⠠⣶⣶⡖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⣻⢯⣿⣟⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣶⣿⠋⠀⠀⠀⠈⠙⠒⠦⠤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣿⣯⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣽⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠙⠒⠶⢤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣿⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣠⣼⣿⣿⣿⣿⣿⣿⣿⡇⠀⣬⠏⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠂⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⠀⠁⣀⠀⠀⠀⠠⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠑⣠⣶⣿⣿⣿⣿⣶⣶⣄⠐⠝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣟⢛⢻⡟⡛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡈⣹⣿⣿⠛⠉⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⡌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢠⢁⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠿⢿⣿⡟⢁⢂⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⢿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢃⠸⠟⢠⢃⣾⣿⠀⡇⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢀⣐⣢⣶⡆⠆⢸⠀⠀⠀⠀⣶⡄⠀⠀⣿⣿⣿⣿⣿⣿⣗⡖⣬⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢇⣾⣿⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣷⡠⡈⠀⢀⣀⡀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣏⣾⣿⣿⣿⣴⣦⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⣀⣬⣿⣿⣾⣵⣦⣤⣔⣲⣵⡿⢻⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠐⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⠹⣿⣿⣿⣿⣿⣿⠿⠿⠿⠛⠛⠁⠀⠀⣿⠿⢿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣯⠉⣽⡏⣩⣤⡆⠀⢶⡆⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡺⣿⣿⡄⢸⡟⠁⠀⠀⠀⠀⠀⠀⠀⡙⠆⢸⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠛⣿⠀⢸⣷⣿⣿⠇⠀⠸⡇⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠘⠛⠇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⢙⡍⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠐⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢫⣽⠙⣛⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⡏⣼⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣼⣿⣻⣽⣿⣻⢿⣿⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⠀⠀⠀⠀⠀⠼⠿⠿⠿⠿⠿⠿⢿⡿⠿⠿⠿⠿⠿⠿⠯⠀⠀⠀⠒⠀⠸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⡟⢿⠩⡗⣅⣔⡅⠀⡦⠄⣄⡀⣐⡄⡖⠲⠂⢠⢢⢰⠂⠈⡏⢹⠲⢠⣒⠀⢸⠤⡇⣐⡄⠔⡆⡄⡆⣖⣜⣿⣻⡇⠀⠀⠀⢠⣠⡬⡩⡍⠩⢩⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⣧⣻⣖⣧⣑⣉⣁⣀⠁⠀⠈⠁⠉⠁⠁⠈⠁⠈⠉⠈⠀⠀⠀⠈⠀⠀⠉⠀⠈⠀⠁⠉⠁⠉⠃⣉⣃⣭⣥⣹⣿⡇⠀⠀⠀⠠⣶⣶⡖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⣻⢯⣿⣟⣿⣻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣶⣿⠋⠀⠀⠀⠈⠙⠒⠦⢤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣿⣯⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣿⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣽⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠙⠒⠶⢤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣿⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣲⣾⣾⣿⣿⣿⣿⣿⣿⡇⠀⣬⠏⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠂⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣖⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⠁⢀⠀⠀⠠⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠅⢠⣶⣿⣿⣿⣿⣶⣶⡄⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣟⢛⢻⡟⡛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡈⣹⣿⣿⠛⠉⠀⠀⠀⠀⠁⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢢⠘⣿⣿⡿⢠⢁⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠰⠿⠿⣿⡟⢁⢂⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢃⠸⠟⢠⢃⣾⣿⠀⡇⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⢀⣐⣢⣶⡆⠆⢸⠀⠀⠀⠀⣶⡄⠀⠀⣿⣿⣿⣿⣿⣿⣵⡖⣤⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢇⣾⣿⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⣿⣿⣿⣷⡠⡈⠀⢀⣀⡀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣏⣾⣿⣿⣿⣴⣦⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣂⣤⣀⣀⣬⣿⣿⣾⣵⣦⣤⣐⣲⣵⡿⢻⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠚⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⢻⣿⣿⣿⣿⣿⣿⠿⠿⠿⠟⠛⠁⠀⠀⣿⠿⢿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣯⠉⣽⡏⣩⣤⡆⠀⢶⣆⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⡄⢸⡟⠁⠀⠀⠀⠀⠀⠀⢀⠹⠆⢸⣿⠟⠁⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠿⣿⠀⢸⣷⣿⣿⡃⠀⠸⡇⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠿⠇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢉⡃⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠐⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠳⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢫⣽⠙⣟⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⡟⣼⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣼⣿⣻⣽⣿⣻⢿⣿⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠼⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠯⠀⠀⠀⠒⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⡟⢿⠩⡧⣅⣄⡅⠀⡦⠄⣀⣄⣄⡄⡄⠰⠀⢠⢠⢠⠀⠈⡏⢹⠤⢠⣤⡀⢰⠤⡆⣄⡄⠄⡄⡄⡄⣤⣜⣻⣻⡇⠀⠀⠀⢠⣠⡬⡩⡍⠩⢭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⣧⣻⣶⣡⣑⣉⣁⣀⠁⠀⠈⠀⠁⠁⠁⠈⠀⠈⠈⠈⠀⠀⠀⠈⠀⠈⠉⠀⠈⠀⠁⠁⠁⠥⠃⣉⣁⣭⣇⣹⣿⡇⠀⠀⠀⠠⣶⣶⡖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⣻⢯⣿⣟⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣶⣿⠋⠀⠀⠀⠈⠙⠒⠦⢤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣟⣯⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣽⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠙⠒⠶⢤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣿⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣀⣺⣿⣿⣿⣿⣿⣿⣿⡇⠀⣬⠏⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠂⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣁⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⠁⣀⡀⠀⠠⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢠⣲⣼⣿⣿⣿⣿⣿⣿⣿⣿⠟⡕⢠⣶⣿⣿⣿⣿⣷⣶⡄⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣟⢛⢻⡟⡛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⠛⠉⠀⠀⠀⢀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢠⢁⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠿⣿⡟⢁⢂⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣇⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢃⠸⠟⢠⢃⣾⣿⠀⡇⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⢀⣐⣢⣶⡆⠆⢸⠀⠀⠀⠀⣶⠆⠀⠀⣿⣿⣽⣿⣿⣯⣗⡒⣤⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢇⣾⣿⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠻⣿⣿⣿⣷⡠⡈⠀⢀⣀⡀⠀⠀⠀⢼⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣏⣾⣿⣿⣿⣴⣦⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣂⢠⣀⣀⣼⣿⣿⣾⣵⣦⣤⣐⣲⣵⠿⢻⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠘⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠛⠛⠁⠀⢠⣿⠿⢿⣿⣿⡶⠟⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣯⠉⣽⡏⣩⣤⡆⠀⢶⡆⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⣻⣿⡄⢸⠟⠁⠀⠀⠀⠀⠀⠀⠀⠙⠆⢸⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠿⣿⠀⢺⣷⣿⣿⠇⠀⠸⡇⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠙⠻⠇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢙⡃⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠐⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠳⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢫⣽⠙⣟⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⡏⣼⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣼⣿⣻⣽⣿⣻⢿⣿⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠀⠀⠀⠒⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⡗⢷⡳⡦⡅⣤⡄⠀⣆⡀⣠⣄⢤⡄⡤⠴⠄⢠⢤⢠⠄⠐⠖⢲⠤⢀⣤⡀⢰⣀⡆⣤⡀⠤⡄⡄⡄⣤⣜⣳⣻⡇⠀⠀⠀⢠⣠⡬⡩⡍⡩⢍⣭⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⡧⠛⣖⠧⣓⠓⠂⠀⠁⠀⠑⠂⠑⠃⠃⠐⠂⠈⠊⠘⠀⠀⠀⠘⠀⠈⠒⠀⠘⠀⠃⠓⠃⠷⠃⢓⠃⣻⢆⣻⣿⡇⠀⠀⠀⠠⣶⣶⡖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⣟⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣶⣿⠋⠀⠀⠀⠈⠙⠒⠦⢤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣟⣯⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣽⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠶⠤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣿⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣸⣿⣿⣿⣿⣿⣿⣿⡇⠀⣬⠏⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠂⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣖⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⠁⢀⠀⠀⠠⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣖⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⡑⢠⣶⣿⣿⣿⣿⣶⣶⡄⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣟⢛⢻⡟⡛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⣹⣿⣿⠛⠉⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢢⠘⣿⣿⡿⢠⢁⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠶⠿⣿⡟⢁⢂⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣷⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢃⠸⠟⢠⢃⣾⣿⠀⡇⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⣐⣢⣶⡆⠆⢸⠀⠀⠀⠀⣿⠆⠀⠀⣿⣿⣿⣿⣿⣯⣗⡖⣤⠀⠀⠈⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢇⣾⣿⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⣿⣿⣿⣷⡠⡈⠀⢀⣀⡀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣏⣾⣿⣿⣿⣴⣦⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⢠⣀⣀⣼⣿⣿⣾⣵⣦⣤⣐⣲⣵⠿⢻⣿⣿⣿⣿⣯⣿⣿⠋⠀⠀⠀⠘⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⠼⣿⣿⣿⣿⡿⣿⠿⠿⠿⠛⠛⠁⠀⠠⣿⠿⢾⣯⣽⡿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣯⠉⣽⡏⣩⣤⡆⠀⢶⡆⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢨⣿⣿⡄⢸⠟⠁⠀⠀⠀⠀⠀⠀⠀⠙⠆⢸⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠻⣿⠀⢻⣷⣿⣿⠇⠀⠘⠗⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠙⠿⠇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⢙⠂⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠐⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠳⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢫⣽⠙⣟⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⡟⣼⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣼⣿⣻⣽⣿⣻⢿⣿⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡧⠀⠀⠀⠒⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⡗⢿⡳⡦⡅⣤⡄⠀⣆⡀⣠⣄⢠⡄⡤⢤⠄⢠⢤⢠⠄⠐⡖⢲⠤⢀⣤⡀⢰⣀⡆⢤⡀⠤⡄⡄⡄⣦⣜⣳⣻⡇⠀⠀⠀⢠⣠⣬⡩⡍⠩⠉⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⡧⠛⣖⠧⣓⠓⠂⠀⠃⠀⠑⠂⠓⠃⠃⠐⠂⠘⠚⠘⠀⠀⠀⠘⠀⠈⠒⠀⠘⠀⠃⠓⠃⠶⠇⢓⠃⣿⣆⢻⣿⡇⠀⠀⠀⠠⣶⣶⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⣟⣿⣻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣶⣿⠋⠀⠀⠀⠈⠙⠒⠦⢤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣟⣯⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣽⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠙⠒⠶⢤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣿⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣀⣼⣿⣿⣿⣿⣿⣿⣿⡇⠀⣬⠏⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠂⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣥⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⠁⠀⠀⠀⠠⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⡑⢠⣶⣿⣿⣿⣷⣶⣦⡀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣟⢛⢻⡟⡛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠈⣹⣿⣿⠛⠉⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢢⠘⣿⣿⡟⢠⢁⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠿⠿⣿⡟⢁⢊⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣧⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢃⠸⠟⢠⢃⣾⣿⠀⡇⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⣢⣶⡆⠆⢸⠀⠀⠀⠀⡾⠆⠀⠀⣿⣿⣿⣿⣿⣿⣵⠦⣌⠀⠀⠈⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢇⣾⣿⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠿⣿⣿⣿⣷⡠⡈⠀⢀⣀⡀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣏⣾⣿⣿⣿⣴⣦⣿⣇⠀⠀⠀⠀⠀⠀⠀⠐⠀⢀⢠⣀⣀⣼⣿⣿⣾⣵⣦⣤⣐⣲⣵⡿⢻⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠘⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠹⣿⣿⣿⣿⡿⣿⠿⠿⠿⠛⠛⠁⠀⠠⣿⠿⢿⣿⣿⡿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣯⠉⣽⡏⣩⣤⡆⠀⢶⡆⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⡄⢸⡟⠁⠀⠀⠀⠀⠀⠀⠀⠙⠆⢸⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠯⣿⠀⢸⣷⣿⣿⡃⠀⠸⡇⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠙⠿⠇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠘⡃⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠘⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠳⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢫⣽⠙⣟⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⡏⣼⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣼⣿⣻⣽⣿⣻⢿⣿⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠀⠀⠀⠒⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⡗⢶⡳⡦⡄⡤⡀⠀⣄⡀⡠⢄⠠⡀⡤⠤⠄⢀⢄⢠⠄⠐⡖⢲⠤⢀⠤⡀⢰⣀⡆⠠⡀⡠⡄⡀⡄⣤⣜⣳⣺⡇⠀⠀⠀⢠⣠⡬⡩⡍⠩⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⡧⠛⣞⠣⣓⢛⠃⠀⠃⠀⠑⠂⠓⠃⠃⠐⠂⠘⠚⠘⠀⠀⠁⠘⠀⠈⠒⠀⠘⠀⠃⠓⠃⠒⠇⢓⠋⣻⣇⡻⣿⡇⠀⠀⠀⠠⣶⣶⡖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⣻⢯⣿⣟⣿⣻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣶⣿⠋⠀⠀⠀⠈⠙⠒⠦⢤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣿⣯⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣽⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠙⠒⠶⢤⣄⣀⠀⠀⠈⠉⠙⠛⠿⠿⣿⣿⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡄⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⣬⠏⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠂⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⠁⠀⠀⠀⠠⠤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⡑⢠⣶⣾⣿⣿⣷⣶⣶⡄⠨⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣟⢛⢻⡟⡛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣹⣿⣿⠛⠉⠀⠀⠀⢀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢢⠘⣿⣿⡿⢠⢁⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠿⠿⣿⡟⢁⢊⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣷⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢃⠸⠟⢠⢃⣾⣿⠀⡇⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢀⣐⣢⣶⡆⠆⢸⠀⠀⠀⠀⡶⠆⠀⠀⣿⣿⣿⣿⣿⣿⡭⠇⣙⠀⠀⠈⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢇⣾⣿⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠾⣾⣿⣿⣷⡠⡈⠀⢀⣀⡀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣏⣾⣿⣿⣿⣴⣦⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⢠⣀⣀⣼⣿⣿⣾⣵⣦⣤⣐⣲⣵⠿⢻⣿⣿⣿⣿⣟⣿⣿⡟⠀⠀⠀⠘⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⢹⣿⣿⣿⣿⣿⣿⠿⠿⠿⠛⠛⠁⠀⠠⣿⠿⢿⣿⣿⡽⠟⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣯⠉⣽⡏⣩⣤⡄⠀⢲⡦⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⢞⢿⣿⡄⢸⡟⠁⠀⠀⠀⠀⠀⠀⠀⠙⠆⢸⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠿⣿⠀⢸⣷⣿⣿⡃⠀⠘⡗⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠘⠒⠿⠆⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡂⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠘⠃⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠐⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠳⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢫⣽⠙⣟⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⡟⣼⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣼⣿⣻⣽⣿⣻⢿⣿⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡯⠀⠀⠀⠒⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⡟⢿⡻⡿⡉⡩⡉⠀⣄⡀⡀⠀⠀⡀⡀⠠⠀⢁⢈⢉⠉⠙⡟⢻⣉⢉⢀⠀⢰⣀⡆⡀⡀⡀⡀⡀⡍⡩⣉⣻⣻⡇⠀⠀⠀⢠⣠⡬⡩⡍⢩⢩⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⡇⠻⣞⠧⣓⠛⠃⠀⠃⠀⠙⠃⠛⠃⠃⠐⠀⠘⠚⠘⠀⠀⠀⠘⠀⠘⠛⠀⠘⠀⠃⠛⠃⢒⠇⢓⠃⣿⢇⢳⣿⡇⠀⠀⠀⠐⣶⣶⡖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⣟⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣴⣿⠋⠀⠀⠀⠈⠙⠒⠦⢤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣿⣮⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣿⢿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣼⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠉⠙⠒⠶⠤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣿⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⣴⣿⣿⣿⣿⣿⣿⣿⡇⠀⣬⠏⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠂⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣭⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⠁⢀⡀⠀⠀⠤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⠟⡱⢀⣴⣿⣿⣿⣿⣷⣶⣄⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣱⣿⣿⠛⠉⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢣⠘⣿⣿⡟⢠⢁⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠷⠾⣿⡟⢁⢊⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢃⣾⣿⠀⡇⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢀⣐⣢⣶⡆⠆⢸⠀⠀⠀⠀⠸⠇⠀⠀⣿⣿⣿⣿⣿⣿⣯⠶⢢⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⣾⣿⣿⣷⡠⡈⠀⢀⣀⡀⠀⢀⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣏⣾⣿⣿⣿⣴⣦⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⠠⣀⣀⣼⣿⣿⣾⣵⣦⣤⣐⣲⣵⠿⠻⣿⣿⣿⣿⣿⣻⣿⡿⠁⠀⠀⠐⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⣼⣿⣿⣿⣿⠿⣿⠿⠿⠿⠛⠛⠁⠀⢠⣿⠿⢷⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣯⠉⣽⡏⣩⣤⡆⠀⢶⡦⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⣿⣿⡄⢸⡟⠁⠀⠀⠀⠀⠀⠀⢀⠻⠆⢸⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠟⣿⠀⢸⣷⣿⣿⠇⠀⢘⡃⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⠿⠆⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢘⠋⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠐⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠲⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠳⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡟⢻⣽⠙⣟⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⡧⣼⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣼⣿⣿⣽⣿⣻⢿⣿⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡯⠀⠀⠀⠒⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⡿⢿⡭⣝⡉⣉⡉⠁⡄⠀⢀⡀⣀⡀⣈⣩⡉⢉⣉⢉⡉⠩⡭⢭⣉⠉⣉⠉⢩⠀⡄⣀⡀⣀⡁⡉⡉⣉⣹⣭⣻⡇⠀⠀⠀⢠⣠⣬⡩⡍⢩⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⡇⠻⣖⠧⣇⠯⠅⠀⠃⠀⠫⠍⠪⠃⠇⠠⠀⠘⠜⠸⠀⠀⠀⠘⠀⠘⠭⠁⠸⠀⠇⠫⠇⣢⠇⢧⠇⣯⢇⣿⣿⡇⠀⠀⠀⠐⣶⣶⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⣟⣿⣿⣿⣿⣿⣿
⣿⣿⣷⣶⣶⣶⣷⣷⣷⣶⡄⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣶⣶⣿⣷⣶⣿⡇⠀⠀⢠⣴⣿⠋⠀⠀⠀⠈⠙⠒⠦⢤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣿⣮⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣼⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠉⠙⠒⠶⠤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣿⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⣐⣼⣿⣿⣿⣿⣿⣿⣿⡇⠀⣬⠏⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠂⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⠀⠁⠀⠀⠀⠀⠤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⠖⢠⣶⣿⣿⣿⣿⣶⣦⡄⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡈⣹⣿⣿⠛⠉⠀⠀⠀⠀⠁⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢣⠘⣿⣿⡟⢠⢁⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠴⠿⣿⡟⢁⢊⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⣧⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢃⣾⣿⠀⡇⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⢀⣐⣢⣶⡆⠆⢸⠀⠀⠀⠀⡿⠆⠀⠀⣿⣿⣿⣿⣿⣟⣯⡭⣈⠀⠀⠈⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠲⣿⣿⣿⣷⡠⡈⠀⢀⣀⡀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣶⡟⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣏⣾⣿⣿⣿⣴⣦⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⢠⣀⣀⣼⣿⣿⣾⣵⣦⣤⣐⣲⣵⠟⢻⣿⣿⣿⣿⣿⣻⣿⡿⠀⠀⠀⠘⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠶⢙⣿⣿⣿⣿⣿⣿⠿⠿⠿⠛⠛⠁⠀⢰⣿⠿⢿⣿⣿⡩⠟⠁⠀⠀⠀⠀⠀⠀⠀⠉⠿⣿⣯⠉⣽⡏⣩⣤⡆⠀⢶⡦⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⢻⣿⣿⡄⢸⠟⠁⠀⠀⠀⠀⠀⠀⠀⠻⡆⢸⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠏⣿⠀⢸⣷⣿⣿⡇⠀⢘⠇⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠙⠿⠂⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⡇⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠐⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠲⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠳⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢫⣽⢙⣟⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⡯⣾⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣼⣿⣿⣽⣿⣻⢿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠀⠀⠀⠒⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⡿⢯⡭⣍⡍⣉⡉⠁⡄⠀⢀⡀⢀⡀⣈⣩⡉⢉⣉⢉⡉⠩⡭⢭⣉⠉⣉⠉⢩⠀⡄⣀⠀⣀⡁⡉⡉⣋⣉⣭⣻⡇⠀⠀⠀⢠⣠⣬⡩⡍⢩⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⡇⠻⣖⠧⣗⢯⠅⠀⠏⠁⠫⠍⠪⠇⠇⠠⠄⠘⠼⠸⠀⠀⠀⠸⠀⠘⠭⠁⠸⠉⠇⠮⠇⣤⡇⢧⠇⣯⣅⢿⣻⡇⠀⠀⠀⠐⣶⣶⡖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⣻⢯⣿⣟⣿⣿⣿⣿⣿⣿
⣿⣿⣷⣶⣶⣶⣷⣾⣷⣶⡄⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣶⣶⣿⣷⣶⣿⡇⠀⠀⢠⣴⣿⠋⠀⠀⠀⠈⠙⠒⠦⢤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣿⣮⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣼⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠉⠙⠒⠶⠤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⣻⣿⣿⣿⣿⣿⣿⣿⡇⠀⣬⠏⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠂⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⠀⠁⠀⠀⠀⠀⠤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣶⣾⣿⣿⣿⣿⣿⣿⣿⡿⢋⡕⢠⣶⣿⣿⣿⣷⣶⣦⣄⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣹⣿⣿⠛⠉⠀⠀⠀⠀⠁⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢣⠘⣿⣿⡟⢠⢁⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠿⠿⣿⡟⢁⢂⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⣷⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢃⣾⣿⠀⡇⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡥⢀⣐⣢⣶⡆⠆⢸⠀⠀⠀⠀⡿⠆⠀⠀⣿⣿⣻⣿⣿⣿⡫⠭⢉⠀⠀⠈⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⣿⣿⣿⣷⡠⡈⠀⢀⣀⡀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣷⡿⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣏⣾⣿⣿⣿⣴⣦⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⢀⣀⣀⣼⣿⣿⣾⣵⣦⣤⣔⣲⣵⠿⢻⣿⣿⣿⣿⣿⣻⣿⡟⠀⠀⠀⠘⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⢺⣿⣿⣿⣿⠿⣿⠿⠿⠿⠛⠛⠁⠀⢰⣿⠿⢯⣻⣿⡯⠟⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣯⠉⣽⡏⣩⣤⡆⠀⢶⡆⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡚⣿⣿⡄⢸⡟⠁⠀⠀⠀⠀⠀⠀⢀⠻⠆⢸⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠟⣿⠀⢸⣷⣿⣿⠅⠀⠸⡗⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⠩⠟⠇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠄⠏⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠐⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠲⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠳⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢫⣽⢙⣟⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⡯⣾⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣼⣿⣿⣽⣿⣻⢿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡯⠀⠀⠀⠒⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⡿⢯⡭⣍⣉⣉⠉⠁⡄⠀⢀⡀⢀⠀⣈⣉⡉⠉⡉⢉⡉⠩⡭⢭⣉⠉⣉⠉⢩⠀⡄⣀⠀⣀⡁⡉⡉⣉⣙⣭⣻⡇⠀⠀⠀⢠⣠⡬⡩⡍⠭⢩⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⡇⠻⣶⠧⣷⠯⠅⠀⠏⠁⠣⠌⠦⠇⠇⠠⠄⠸⠼⠸⠀⠀⠀⠸⠀⠘⠤⠁⠸⠉⠇⠦⠇⣥⡇⢧⠇⣯⣅⢿⣿⡇⠀⠀⠀⠐⣶⣶⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⣻⢯⣿⢟⣿⣻⣿⣿⣿⣿
⣿⣿⣷⣶⣶⣶⣷⣶⣷⣶⡄⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣶⣶⣷⣷⣶⣿⡇⠀⠀⢠⣴⣿⠋⠀⠀⠀⠈⠙⠒⠦⢤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣿⣮⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣼⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠉⠙⠒⠶⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢀⣰⣼⣿⣿⣿⣿⣿⣿⣿⡇⠀⡬⠏⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠂⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⢁⣀⣀⣤⣀⠀⠀⠠⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⣢⣿⣿⣿⣿⣿⣿⣿⣿⠟⣡⠃⣴⣿⣿⣿⣿⣿⣿⣿⣆⠀⠝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⣹⣿⣿⠛⠉⠀⠀⠀⠈⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢣⠘⣿⣿⡟⢠⢁⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠿⠿⣿⡟⢁⢂⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⢷⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢃⣾⣿⠀⡇⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠀⣐⣠⣶⡆⠆⢸⠀⠀⠀⠘⠟⠂⠀⠀⣿⣿⣿⣿⣿⣿⣖⡟⣦⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠰⣿⣿⣿⣷⡀⡈⠀⢀⣀⡀⠀⢀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣏⣾⣿⣿⣿⣴⣦⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⣠⣀⣀⣼⣿⣿⣾⣵⣦⣤⣔⣲⡵⠛⢻⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠈⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⢸⣻⣿⣿⣿⡿⣿⠿⠿⠛⠋⠉⠀⠀⢸⣿⠿⢿⣿⣿⡧⠎⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣯⠉⣽⡏⣩⣤⠆⠀⢶⡆⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡾⣿⣿⡄⢸⠋⠀⠀⠀⠀⠀⠀⠀⠈⠻⠆⢸⣿⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠿⣿⠀⢸⣷⣿⣿⠇⠀⠸⡇⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠹⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠘⠣⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠈⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠳⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢫⣽⢙⣟⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⡿⣾⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣼⣿⣿⣽⣿⣻⢿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡯⠀⠀⠀⠒⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⡿⢿⡿⣟⠛⣛⠛⠁⡀⠀⠀⠀⢀⠀⡈⢉⡉⠉⡉⢉⡉⠩⡽⢭⢉⠉⡉⠉⢩⠀⡄⢀⠀⢀⡁⠉⡛⢛⢛⣿⢻⡇⠀⠀⠀⢠⣠⡬⡩⡍⠭⢭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⡇⠻⣾⠧⡗⠷⠇⠀⠏⠁⠳⠆⠶⠇⠇⠠⠀⠸⠼⠸⠀⠀⠀⠸⠈⠘⠶⠀⠸⠉⠇⠶⠇⠥⡇⢧⠇⣿⢇⢾⣿⡇⠀⠀⠀⠐⣶⣶⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⣻⢯⣿⣟⣿⣿⣿⣿⣿⣿
⣿⣿⣷⣶⣶⣶⣷⣷⣷⣶⡄⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣶⣶⣿⣶⣷⣿⡇⠀⠀⢠⣴⣿⠋⠀⠀⠀⠈⠙⠒⠦⢤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣿⣪⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣼⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠉⠙⠒⠶⠤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣼⣿⣿⣿⣿⣿⣿⣿⡇⠀⡬⠏⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠂⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣯⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠃⠀⠁⣀⠀⠀⠠⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⠂⣴⣾⣿⣿⣿⣿⣶⣦⡀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⡀⣹⣿⣿⠛⠉⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢣⠘⣿⣿⡟⢠⢁⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠾⢿⣿⡟⢁⢂⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢃⣾⣿⠀⡇⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢀⣐⣢⣶⡆⠆⢸⠀⠀⠀⢰⡶⠄⠀⠀⣿⣿⣿⣿⣿⣿⣷⢦⣄⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠹⣿⣿⣿⣷⡀⡈⠀⢀⣀⡀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣷⣿⠇⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣏⣾⣿⣿⣿⣴⣦⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⣤⣀⣀⣼⣿⣿⣾⣵⣦⣤⣐⣲⣵⠟⣿⣿⣿⣿⣿⣻⣿⣿⠏⠀⠀⠀⠚⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢭⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠋⠀⠀⢸⣿⠿⢿⣿⣯⡽⠟⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣯⠉⣽⡏⣩⣤⡆⠀⢶⡆⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⣿⣿⡄⢸⠟⠁⠀⠀⠀⠀⠀⠀⡈⢿⡆⢸⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠟⣿⠀⢸⣿⣿⣿⠇⠀⢘⡇⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠆⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡉⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠳⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢫⣽⢙⣟⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⡯⣾⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣼⣿⣿⣽⣿⣻⢿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡯⠀⠀⠀⠒⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⣟⣿⡛⡟⠛⡛⠛⠃⡀⠀⠀⠀⠀⠀⠘⢛⠛⠛⠛⠛⠛⢛⣛⣛⠛⠛⠛⠛⢋⠀⡀⠀⠀⠀⠃⠙⠛⢛⢛⣛⣻⡇⠀⠀⠀⢠⣠⡬⣩⡍⠩⢍⣭⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⡇⢻⡶⡯⡷⢟⠇⠀⠇⠀⠞⡓⢝⠇⡏⢉⠁⠸⡹⢸⠁⠀⠀⠸⠉⠰⢛⠂⢸⠀⡇⠟⡇⢍⡇⣇⡇⣟⣇⣾⣿⡇⠀⠀⠀⠐⣶⣶⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⣻⢯⣿⢟⣿⣻⣿⣿⣿⣿
⣿⣿⣷⣶⣶⣶⣷⣶⣷⣶⡄⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⣴⣶⣴⣷⣷⣶⣿⡇⠀⠀⢠⣴⣿⠋⠀⠀⠀⠈⠙⠒⠦⢤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣿⣮⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣼⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠉⠙⠒⠶⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣿⣿⣿⣿⣿⣿⣿⡇⠀⡬⠏⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠂⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⠁⠀⠀⠀⠤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠟⠅⣠⣶⣿⣿⣿⣷⣶⣦⡀⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⡈⣹⣿⣿⠛⠉⠀⠀⠀⠀⠁⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢣⠘⣿⣿⡟⢠⢁⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠿⠿⣿⡟⢁⢊⠄⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢃⣾⣿⠀⡇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢀⣐⣂⣶⡆⠆⢸⠀⠀⠀⠀⡶⠄⠀⠀⣿⣯⣿⣿⣿⣿⣲⢢⡅⠀⠀⠁⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠇⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠻⣿⣿⣿⣷⡀⡈⠀⢀⣀⡀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣏⣾⣿⣿⣿⣴⣦⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⣀⣀⣀⣼⣿⣿⣾⣵⣦⣤⣐⣲⣵⠿⢿⣿⣿⣿⣿⣽⣿⣿⠃⠀⠀⠀⠚⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣸⣿⣿⣿⣿⣿⣿⠿⠿⠿⠛⠛⠁⠀⢸⣿⠿⢿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠩⢿⣿⣯⠉⣽⡏⣩⣤⡆⠀⢶⣆⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡾⣿⣿⡄⢸⡟⠁⠀⠀⠀⠀⠀⠀⠈⠻⡆⢸⢿⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡿⣿⠀⢹⣷⣿⣿⡇⠀⠸⣇⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠿⠿⠇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠘⡍⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠘⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠳⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢫⣽⢙⣟⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⡯⣾⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣼⣿⣿⣽⣿⣻⢿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡿⠀⠀⠀⠒⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⣟⣿⣛⡟⠛⡛⠛⠃⡀⠀⠀⠀⠀⠀⠘⢛⠛⠛⠛⠛⠛⢛⣛⣛⠛⠛⠛⠛⢋⠀⡀⠀⠀⠀⠃⠙⠛⢛⢛⣻⣻⡇⠀⠀⠀⢠⣠⡬⡩⡍⠩⠉⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⡇⢻⣾⡯⣗⣟⡃⠀⠗⠂⢞⡓⢝⡇⡏⢉⡁⠸⡹⢸⠁⠀⠀⢸⠉⠰⣛⠂⢸⠒⡇⣟⡆⣍⡇⣇⡏⣿⣇⣾⣿⡇⠀⠀⠀⠐⣶⣶⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⣻⢯⣿⣟⣿⣿⣿⣿⣿⣿
⣿⣿⣧⣴⣶⣤⣥⣤⣥⣤⡄⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⣤⣤⣤⣭⣶⣦⣽⡇⠀⠀⢠⣴⣿⠋⠀⠀⠀⠈⠙⠒⠦⢤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣿⣪⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣼⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠉⠙⠒⠶⠤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⣿⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⣼⣿⣿⣿⣿⣿⣿⣿⡇⠀⡬⠏⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠂⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢠⣵⣽⣿⣿⣿⣿⣿⣿⣿⡿⠟⠃⢀⠁⣀⡀⠀⠠⠤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣽⣿⣿⣿⣿⣿⣿⣿⡿⢋⠆⣠⣾⣿⣿⣿⣿⣷⣶⡄⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣟⢋⢻⡟⡛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣹⣿⣿⠛⠉⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢣⠘⣿⣿⡟⢠⢁⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠽⠿⣿⡟⢁⢂⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢃⣾⣿⠀⡇⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢀⣐⣢⣶⡆⠆⢸⠀⠀⠀⠀⠿⠃⠀⠀⣿⣿⣿⣿⣿⣯⣓⡆⣄⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠽⣿⣿⣿⣷⡀⡈⠀⢀⣀⡀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣏⣾⣿⣿⣿⣴⣦⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⢠⣀⣀⣼⣿⣿⣾⣵⣦⣤⣐⣲⣵⠟⢻⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠚⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⢹⣿⣿⣿⣿⡿⣿⠿⠿⠿⠛⠋⠀⠀⢸⣿⠿⢿⣿⣿⡿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠩⢿⣿⣯⠉⣽⡏⣩⣤⡆⠀⢲⡦⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣚⣿⣿⡄⢸⠟⠁⠀⠀⠀⠀⠀⠀⠈⠻⡆⢸⡿⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠟⣿⠀⢹⣷⣿⣿⡇⠀⠸⠇⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⠇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠍⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢾⠇⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠙⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠳⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢫⣽⢙⣟⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⡯⣾⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣼⣿⣿⣽⣿⣻⢿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠒⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⣟⣿⣛⡟⠛⠛⠛⠃⡀⠀⠀⠀⠀⠀⠘⠛⠛⠛⠛⠛⠛⢛⣛⣛⠛⠛⠛⠛⢋⠀⡀⠀⠀⠀⠃⠙⠛⢛⢛⣻⣻⡇⠀⠀⠀⢠⣠⡬⡩⡍⠩⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⡇⢻⣾⡯⣗⣟⡃⠀⡗⠂⢞⡓⣜⡇⡏⢉⡁⢰⣹⢸⠁⠀⠁⢸⠉⠰⣛⠂⢸⠒⡇⣝⡆⣉⡇⣇⡇⣿⣇⡾⣿⡇⠀⠀⠀⠐⣶⣶⡖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⢻⢯⣿⣟⣿⣿⣿⣿⣿⣿
⣿⣿⣧⣤⣶⣼⣥⣥⣴⣤⡄⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⣥⣤⣤⣥⣷⣦⣽⡇⠀⠀⢠⣴⣿⠋⠀⠀⠀⠈⠙⠒⠦⢤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣿⣮⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣼⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠉⠙⠒⠶⠤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣿⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣼⣿⣿⣿⣿⣿⣿⣿⡇⠀⣬⠏⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠂⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣢⢤⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⠀⠁⢀⠀⠀⠠⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣾⣿⣿⣿⣿⣿⣿⣿⡿⢋⠆⣠⣾⣿⣿⣿⣿⣶⣦⡄⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣟⢋⢻⡟⡛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⠛⠉⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢣⠘⣿⣿⡟⢠⢁⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠮⠿⣿⡟⢁⢊⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢃⣾⣿⠀⡇⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢀⣐⣢⣶⡆⠆⢸⠀⠀⠀⠀⡶⠆⠀⠀⣿⣿⣽⣿⣿⣿⡵⡖⣄⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠇⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠺⣿⣿⣿⣷⡀⡈⠀⢀⣀⡀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣏⣾⣿⣿⣿⣴⣦⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣀⣀⣼⣿⣿⣾⣵⣦⣤⣐⣲⣵⠿⢿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠚⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣱⣿⣿⣿⣿⡿⣿⠿⠿⠿⠛⠛⠁⠀⢸⣿⠿⢿⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠩⠿⣿⣯⠉⣽⡏⣩⣤⡆⠀⢲⡆⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢚⣿⣿⡄⢸⠟⠁⠀⠀⠀⠀⠀⠀⠈⠻⡆⢸⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡿⣿⠀⢻⣷⣿⣿⠇⠀⠘⡟⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠼⠿⠇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣁⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠙⡋⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠘⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠳⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢫⣽⢙⣟⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⡿⣾⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣼⣿⣿⣽⣿⣻⢿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡿⠀⠀⠀⠒⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⣟⣿⣿⡟⠟⠛⠛⠃⠀⠀⠀⠀⠀⠀⠘⠛⠛⠛⠛⠛⠛⢛⣛⣛⠛⠛⠛⠛⢋⠀⡀⠀⠀⠀⠃⠙⠛⠛⢟⣻⣿⡇⠀⠀⠀⢠⣠⡬⡩⡍⠍⢩⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⡇⢻⣞⡯⣦⣯⡆⠀⡗⠂⢎⡁⣌⡆⡏⢉⡁⢰⣱⢸⠁⠀⠀⢸⠉⠰⣉⠀⢸⠒⡇⣌⡆⣊⡇⣇⡇⣯⣆⣾⣿⡇⠀⠀⠀⠐⣶⣶⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⣻⢯⣿⣟⣿⣿⣿⣿⣿⣿
⣿⣿⣧⣤⣶⣴⣥⣤⣥⣤⡄⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣥⣤⣤⣥⣷⣤⣽⡇⠀⠀⢠⣴⣿⠋⠀⠀⠀⠈⠙⠒⠦⢤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣿⣪⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣼⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠶⢤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⣼⣿⣿⣿⣿⣿⣿⣿⡇⠀⡬⠏⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠂⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣎⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠃⠀⠀⠀⠀⠀⠀⠤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢠⣂⣾⣿⣿⣿⣿⣿⣿⣿⡿⣫⠂⣰⣾⣿⣿⣿⣷⣶⣦⡀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⣟⢋⢻⡟⡛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠈⣹⣿⣿⠛⠉⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢣⠘⣿⣿⡟⢠⢁⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠽⠿⣿⡟⢁⢊⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢃⣾⣿⠀⡇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⢀⣐⣢⣶⡆⠆⢸⠀⠀⠀⠰⠷⠀⠀⠀⣿⣿⣿⣿⣿⣟⠭⠆⡁⠀⠀⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠸⣿⣿⣿⣷⡀⡈⠀⢀⣀⡀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣏⣾⣿⣿⣿⣴⣦⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣂⣤⣀⣀⣼⣿⣿⣾⣴⣦⣤⣐⣲⣵⠟⢿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠚⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠛⠋⠁⠀⢸⣿⠿⢿⣻⣿⡭⠋⠀⠀⠀⠀⠀⠀⠀⠀⠩⢿⣿⣯⠉⣽⡏⣩⣤⡆⠀⢶⡆⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢸⢿⣿⡄⢸⠟⠁⠀⠀⠀⠀⠀⠀⡈⠻⡆⢸⡿⠟⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡿⣿⠀⢻⣷⣿⣿⠇⠀⠘⡇⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠽⠿⠇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡓⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠙⡧⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠘⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠲⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠳⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢫⣽⢙⣟⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⡯⣾⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣼⣿⣿⣽⣿⣻⢿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠒⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⡿⢿⡿⡿⠿⠿⠿⠇⠀⠀⠀⠀⠀⠀⠘⠛⠿⠿⠿⠿⠿⠿⠿⢿⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠃⠹⠿⠿⢿⣿⣿⡇⠀⠀⠀⢠⣠⡬⣩⡉⠍⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⡏⢻⣟⡷⡶⡶⣆⠀⡗⠂⡴⠦⡶⡆⡖⢐⠀⢰⢲⢰⠂⠀⠁⢸⠒⢰⠶⠄⢸⠒⡇⡶⡆⡒⡆⣆⡆⣾⣮⣽⣻⡇⠀⠀⠀⠐⣶⣶⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⣻⢯⣿⣟⣿⣿⣿⣿⣿⣿
⣿⣿⣧⣬⣶⣵⣥⣬⣤⣤⡀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⣥⣬⣥⣭⣷⣧⣽⡇⠀⠀⢠⣴⣿⠋⠀⠀⠀⠈⠙⠒⠦⢤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣿⣪⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣼⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠉⠙⠒⠶⢤⣄⣀⠀⠀⠀⠉⠙⠛⠻⠿⣿⣿⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣼⣿⣿⣿⣿⣿⣿⣿⡇⠀⡬⠏⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠂⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣔⣽⣻⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⢁⣀⡀⠀⠠⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⠅⣠⣾⣿⣿⣿⣿⣿⣶⡄⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⣹⣿⣿⠛⠉⠀⠀⠀⠀⠁⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢣⠘⣿⣿⡟⢠⢁⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠷⠿⣿⡟⢁⢊⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⠿⢿⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢃⣾⣿⠀⡇⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠵⢀⣀⣠⣶⡆⠆⢸⠀⠀⠀⠀⣶⠆⠀⠀⣿⣿⣿⣿⣿⣿⣿⣛⣤⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠺⣿⣿⣿⣷⡀⡈⠀⢀⣀⡀⠁⠀⠀⢼⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣏⣾⣿⣿⣿⣴⣦⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⢠⣀⣀⣼⣿⣿⣾⣴⣦⣤⣐⣲⣵⠿⠻⣿⣿⣿⣿⣿⣽⣿⡏⠀⠀⠀⠚⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⢼⣿⣿⣿⣿⣿⣿⠿⠿⠿⠟⠛⠁⠀⢠⣿⠿⢿⣾⣿⠶⠟⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣯⠉⣽⡏⣩⣤⡆⠀⢶⡆⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠾⣿⣿⡄⢸⡟⠉⠀⠀⠀⠀⠀⠀⢈⠻⡆⢸⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠯⣿⠀⢹⣷⣿⣿⠇⠀⠘⡏⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠛⠿⠇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠍⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠛⠃⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠶⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠳⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢫⣽⢙⣟⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⡯⣾⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣼⣿⣿⣽⣿⣻⢿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠒⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣯⢿⣿⣿⡿⣿⣿⣿⣷⣶
⣿⣿⡿⢿⠿⡿⠿⠿⠿⠇⠀⠀⠀⠀⠀⠀⠘⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠏⠀⠀⠀⠀⠀⠃⠹⠿⠿⢿⣿⣿⡇⠀⠀⠀⢠⣠⡬⡩⡉⠍⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣻⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿
⣿⣿⡏⢻⣟⡷⣖⡶⡆⠀⡇⠀⡴⠦⡲⡆⡖⠒⠂⢰⢲⢰⠂⠈⠉⢹⠒⢠⠶⠄⢸⠀⡇⡶⡆⡒⡆⣆⡆⣾⣎⣽⣿⡇⠀⠀⠀⠐⣶⣶⠖⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣧⣿⣗⣽⣻⢯⣿⣟⣿⣿⣿⣿⣿⣿
⣿⣿⣇⣬⣶⣡⣁⣩⣁⣀⡀⠀⣈⠁⠈⠀⠁⠈⠀⠀⠁⠈⠀⠀⠀⠀⠀⠀⠉⠀⠈⠀⠁⠈⠁⢚⣁⣉⣡⣭⣣⣃⣹⡇⠀⠀⢠⣴⣿⠋⠀⠀⠀⠈⠙⠒⠦⢤⣀⡀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣮⣿⣪⡟⣾⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣼⡟⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠉⠙⠒⠶⠤⣄⣀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣿⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣴⣿⣿⣿⣿⣿⣿⣿⡇⠀⡬⠏⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠂⠀⠀⠀⡀⠀⠀⠈⠉⠙
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢠⣱⣽⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⣁⣀⣀⡀⠀⠠⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⣭⣽⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⠟⡑⢀⣴⣿⣿⣿⣿⣿⣿⣦⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠛⢿⣿⣿⣿⡟⢋⢻⡟⡛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠈⣹⣿⣿⠛⠉⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⡌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢣⠘⣿⣿⡟⢠⢁⣾⠇⡅⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠷⠿⣿⡟⢁⢊⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠿⡇⠀⢿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣆⢂⠸⠟⢠⢃⣾⣿⠀⡇⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢀⣐⣠⣶⡆⠆⢸⠀⠀⠀⠀⢰⠇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣚⢢⡄⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡌⣦⣤⢋⣾⣿⣿⠀⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣷⡠⡈⠀⢀⣀⡀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⣏⣾⣿⣿⣿⣴⣦⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⢠⣀⣀⣼⣿⣿⣾⣵⣦⣤⣐⣲⣵⡿⠛⣿⣿⣿⣿⣿⣯⣿⡿⠃⠀⠀⠐⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣿⣿⣿⡿⣿⠿⠿⠿⠟⠛⠋⠀⢠⣿⠿⢷⣙⣛⡷⠞⠁⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣯⠉⣽⡏⣩⣤⡆⠀⢶⡦⠀⠀⠁⣾⣷⣦⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠺⣿⣿⡄⢸⡿⠉⠀⠀⠀⠀⠀⠀⠀⠹⠆⢸⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠙⣿⠀⢻⣷⣿⣿⠇⠀⠸⡇⠀⠀⣄⠉⠛⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠿⠆⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⠀⠀⣿⣿⣶⣄⠘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢘⡃⠀⠀⠙⠿⠿⠏⣠⣿
⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣞⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠳⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿
⡿⢫⣽⢙⣟⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⡿⣾⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢲⢶⣶⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣼⣿⣿⣽⣿⣻⢿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⠛⠛⠛⠛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠉⠉⠉⠉⠉⠛⠛⠛⠛⠛⠛⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿
⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿
⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⡿⠛⠿⠿⢿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿
⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⣠⣴⣿⣿⣶⣶⣄⠀⢸⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿
⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠟⠛⠛⠛⠛⠛⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠾⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿
⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣦⣤⣤⡀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿
⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⠿⠟⠋⠀⠀⠀⠀⠠⠴⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⣀⠀⠀⠀⠀⠀⡀⠀⠀⢘⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿
⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⣀⣾⣿⣇⣀⣀⣀⣀⣴⣶⣶⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠇⠀⠀⠀⠀⠀⠀⠀⠀⣰⣷⣄⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣄⣀⢀⣀⣁⣤⣤⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿
⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⣀⡀⠀⠀⣰⣤⡀⠀⠀⠹⣿⣿
⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⢀⣾⣿⣿⣦⣤⣿⣿⣇⠀⠀⠀⣿⣿
⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢠⣿⣿
⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⢀⣴⣦⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠈⣿⣿
⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⡀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⣻⣿⣿⣿⣿⣿⣿⣈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿
⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣧⡀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿
⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣄⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿
⣿⣿⣿⣷⢠⣶⣄⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⡾⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⠁⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿
⣿⣿⣿⣯⠸⣿⣿⣧⣤⣶⣤⣀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣦⣤⡀⠀⠀⠀⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣾⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠟⣿⣿⣿⣿⣿⣿⣿⣦⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣧⡀⠀⢻⣿⣿⣿⣿⣿⣿⣿⠀⢀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣶⣿⣏⣿⣿⣿⣿⣿⡟⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠋⠋⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠇⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣦⣄⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠉
⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣷⣄⡀⠀⠀⠉⠙⠛⠛⠿⠿⠛⠛⠛⠋⠉⠁⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠋⠁⠀⠀⠀⠀⠀
⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣤⣀⡀⠀⠀⠀⠀⣀⣀⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⡀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠇⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠛⠻⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣴⣶⣶⣶⣶⣶⣶⣾⣿⣿⣶⣶⣶⣶⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠉⠉⠉⠁⠀⠀⠀⠀⠈⠙⣿⣿⣿⡆⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠘⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⡀⠀⡀⠀⠀⢸⣿⣿⣿⡄⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⣀⣴⣶⣿⣿⣿⠁⠀⣦⣸⣿⣿⣿⣷⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⢸⣿⣀⢀⣤⣤⣴⣶⣤⡀⠀⠀⠀⠈⠙⠻⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠘⠋⠉⠉⠉⠉⠀⠀⠀⠙⢿⣿⣿⣿⣿⡇⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣀⠀⣠⣼⣿⣷⠀⠀⠀⢀⡄⠀⠀⣠⣾⣿⣿⣿⣿⣷⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⣿⣿⣿⣿⡿⠋⠈⠁⠀⠀⠀⠀⣠⣄⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣴⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⡁⠀⠀⣿⣿⣤⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⢰⣦⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠉⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⠉⠙⣿⠋⠉⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⣾⣄⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠋⠉⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠉⠉⠛⠛⠛⢻⣿⣿⣿⣭⣥⣤⣤⣤⣀⣠⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⣤⣤⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣉⣩⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠟⠛⠁⠀⠀⠀⠀⠀⠈⠙⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⠈⠉⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠉⠀⠀⠀⠉⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⢻⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⡏⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠉⠁⠀⠀⣼⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⡇⠀⠀⠀⠉⠙⠛⠿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛
⣿⣿⣿⠿⠟⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠿⠛⢿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⠟⠛⠻⣿⣆⠀⠀⠀⠀⠀⠐⢲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⠏⠀⠀⢸⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠀⠀⠀⢻⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣾⣿⣿⠿⠃⠀⠀⣰⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣀⣀⣴⣿⣿⣿⣿⣿⣦⠀⢀⣼⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠈⠛⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠄⠀⠀⠠⠤⢤⣾⣿⣿⣿⡿⠿⢿⣿⣿⣿⠟⠠⠜⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠉⠉⠉⠀⠀⠀⠈⠉⠁⠀⠀⠉⠁⠀⠀⠀⠉⠉⠉⠉⠀⠈⠉⠉⠉⠉⠉⠛⠋⠉⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⡀⠀⠀⠀⠀⣿⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣶⣶⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣤⣤⣀⠀⠚⠀⠀⠀⠀⠀⠀⣀⣤⣿⠿⠇⠀⠀⠀⠀⠈⠳⣦⣀⠀⠀⢀⣀⣠⣴⣶⣦⣶⣦⣴⣾⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⠿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⠀⠀⠀⠀⠀⠀⣀⣠⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣰⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⢀⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠓⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣤⢀⣀⡀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡟⠀⠻⡿⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⣀⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠉⠻⢿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⣀⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⡿⢛⣿⣿⡿⠟⠁⠀⢀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⡿⠋⠀⠾⠟⠁⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡄⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣷⡀⠀⠀⠀⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⡏⣩⡀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣯⣉⡉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⣩⣉⣉⣭⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⠿⠟⠛⠛⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠉⠛⠛⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡆⢀⡀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⡟⠋⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣧⣴⣷⡦⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣷⣤⣤⣤⣄⣀⣀⣀⣀⣠⣿⣿⣿⣿⣿⣿⣿⣷⣄⣀⣀⣀⣀⡀⠀⣀⣠⣼⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣻⠧⠜
⠀⠀⠀⠀⣤⣤⣼⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡦⠄
⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀
⠀⠀⠀⠀⠀⠀⠉⢉⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⢀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀
⠀⠀⠀⣴⣤⣤⣤⣾⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠈⠉⠉⠁⣨⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣉⣿⣿⣭⣿⣿⣿⡟⠛⠉⢉⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿
⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⡿⠿⣿⡦⠀⠀⠀⢀⣤
⠀⠀⠀⠀⠀⠀⢀⣶⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⣾⣿⣿⣿
⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣀⣀⣹⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿
⣀⣀⣀⣀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⢀⣹⣿⠛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣏⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⣙⠛⠻⢿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣤⡀⠀⠀⠀⠀⠙⢷⣶⠀⠈⣿⣿⣿⣿⣿⣿⣉⣉⣙⠿⠿⠿⠿⠛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣧⣌⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣄⠀⠀⠀⠀⠀⠉⣶⣤⣽⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠘⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠈⠿⠿⠟⠉⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣦
⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠹⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⢶⣶⣤⣤⣈⠹⢿⣿⣿⣿⣿⣿⣿
⠁⠀⠀⠀⠀⠈⠉⠉⠉⢹⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠈⠉⠹⠿⣿⣧⠀⠙⢿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣿⣿⠋⠁⠀⠲⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣿⣿⣿⣿⣿⣿⣿⣄⠀⠐⣿⣿⣷⡀⠀⠈⢿⡇⠀⠈⠹⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⢹⣿⣿⣿⡀⠀⢸⣷⠀⠀⠀⠈⠻⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⢿⣿⣿⣿⣦⠀⠉⠀⠀⠀⠀⠀⠘
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠘⢿⣿⣿⣿⣶⣦⡄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⢿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⢿⣿⣿⣿⣿⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠘⣿⣿⣿⣿⣧⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠘⣿⣿⣿⣿⠰⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣤⣤⣀⣀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⢀⣀⣤⣄⣀⣀⣀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⢸⣿⣿⣿⣆⣠⣤⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣠⣤⣤⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣦⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣾⣿⣿⣿⣿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠁⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣄⡀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⣀⡀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⢰⣿⣿⣿⣿⡞⣿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣆⣠⣿⣿⣿⣿⡿⠀⠘⠈⠻⠿⠿⣿⡋⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⠀⠀
⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡌⠀⠉⠉⠉⠛⠻⠿⣿⣿⣧⣤⣀⣀⣤⣤⣄⡀⠀⠀⠉⠉⠛⠛⠛⠿⠯⠿⣿⣟⣛⣿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀
⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣋⣐⠂⠀⠀⠀⠀⠀⠀⢠⣤⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣶⣶⣦⣤⣤⣀⣀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠈⠉⠉⠙⠛⠛⠿⢿⣿⣿⣿⣿⣿⠆⠀
⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠉⠁⠀⠀⠀⠀⠠⠤⠜⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣿⣿⡿⠀⠀
⠀⠀⠀⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠉⠹⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣖⣒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠈⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⡿⠉⠈⠁⡸⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣤⣤⣴⠟⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡿⠟⠛⠋⠉⢁⠀⠀⠀⢈⣶⣶⣎⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠉⠋⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠿⠛⠋⠁⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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                    ䷩ 𝚕𝚒𝚗𝚎 3767

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Links 16/01/2024: Bloated Junk and Bottled
Water Debunked⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jan 16, 2024


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


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * Distributions_and_Operating_Systems
          o BSD
    * Leftovers
          o Hardware
          o Health/Nutrition/Agriculture
          o Proprietary/Artificial_Intelligence_(AI)
          o Defence/Aggression
          o Environment
                # Energy/Transportation
                # Overpopulation
          o AstroTurf/Lobbying/Politics
          o Freedom_of_Information_/_Freedom_of_the_Press
          o Civil_Rights/Policing
          o Internet_Policy/Net_Neutrality
          o Monopolies/Monopsonies
                # Patents
                # Trademarks
                      # Right_of_Publicity
                # Copyrights
                # Gemini*_and_Gopher
                      # Personal/Opinions
                      # Technology_and_Free_Software
                            # Internet/Gemini
    * § Distributions and Operating Systems⠀➾


          o § BSD⠀➾


    * § Leftovers⠀➾


          o ⚓ Joan Westenberg ☛ Breaking_up_with_Slack_and_Discord:_why_it's
            time_to_bring_back_forums.⠀⇛


                 Unlike most chat apps, forums allow conversations to
                 develop at more thoughtful pacings with well-constructed
                 dialogue. Members can take time crafting articulate
                 posts, which persist as valuable community resources,
                 instead of being lost in ephemeral streams. The
                 asynchronous nature ensures all global contributors can
                 participate comfortably regardless of their timezone.
                 Exploring archives helps new members progressively build
                 knowledge, context, and relationships within foreign
                 communities without being overwhelmed.


          o ⚓ Dan Q ☛ [Bloganuary]_Communicate_Early,_Communicate_Often⠀⇛


                 I’ve written before about how this site – my blog – is
                 the centre of my digital “ecosystem”. And while the
                 technical details may have changed since that post was
                 published, the fundamentals have not: everything about my
                 public communication revolves around this, right here.


          o ⚓ Manton Reece ☛ Micro.blog_category_improvements⠀⇛


                 These customizations are available with a new field on
                 the edit category page. I hope folks enjoy this extra
                 flexibility. Also note that it’s possible to create new
                 conflicts, such as the same path being used for
                 standalone pages and categories… Just be mindful of this
                 when creating pages.


          o ⚓ Simone Silvestroni ☛ Quitting_capitalism⠀⇛


                 I keep thinking about people who actually agree with the
                 current incarnation of capitalism as members of a growth
                 death cult. Can’t explain it differently.


          o ⚓ Joan Westenberg ☛ How_to_quit_capitalism.⠀⇛


                 In its unbridled form, capitalism has ushered in an era
                 where consumerism is king, and possessions are the
                 yardstick of success. In this relentless pursuit of more,
                 we have lost sight of what truly matters — our connection
                 to each other, our harmony with nature, and our sense of
                 purpose beyond material gains.


                 We’re trapped in a cycle that glorifies wealth and power,
                 ignoring the human cost it entails — a cost paid in the
                 currency of social injustice, environmental degradation,
                 and a deep sense of existential void.


          o § Hardware⠀➾


                # ⚓ Hackaday ☛ Countdown_To_A_Spaceship_Simulator⠀⇛


                       [Jon Petter Skagmo] claims that the spaceship
                       simulator he’s working on is for his daughter, but
                       we think there’s an excellent chance he’s looking
                       to fulfill a few childhood dreams of his own. But
                       no matter what generation ends up getting the most
                       enjoyment out of it, there’s no question it’s an
                       impressive build so far, complete with a very
                       realistic-looking instrument display and joystick.


          o § Health/Nutrition/Agriculture⠀➾


                # ⚓ The Independent UK ☛ Cycle_commute_improves_mental_health,
                  research_shows⠀⇛


                       Analysis of almost 380,000 people living in
                       Scotland suggests commuting by bike reduces the
                       risk of mental ill health.


                       Commuting by bike led to greater reductions in
                       mental health prescriptions in women than in men,
                       according to research from the University of
                       Edinburgh – although men were more likely to cycle.


                # ⚓ CNN ☛ Bottled_water_contains_thousands_of_nanoplastics_so
                  small_they_can_invade_the_body’s_cells,_study_says⠀⇛


                       At 1,000th the average width of a human hair,
                       nanoplastics are so teeny they can migrate through
                       the tissues of the digestive tract or lungs into
                       the bloodstream, distributing potentially harmful
                       synthetic chemicals throughout the body and into
                       cells, experts say.


                # ⚓ Associated Press ☛ Scientists_find_about_a_quarter_million
                  invisible_nanoplastic_particles_in_a_liter_of_bottled_water⠀⇛


                       Much of the plastic seems to be coming from the
                       bottle itself and the reverse osmosis membrane
                       filter used to keep out other contaminants, said
                       study lead author Naixin Qian, a Columbia physical
                       chemist. She wouldn’t reveal the three brands
                       because researchers want more samples before they
                       single out a brand and want to study more brands.
                       Still, she said they were common and bought at a
                       WalMart.


                # ⚓ Healthline Media ☛ Massive_number_of_plastic_particles
                  found_in_bottled_water._Are_they_harmful_to_health?⠀⇛


                       The new study found between 110,000 and 370,000
                       nanoparticles, most of which were nanoplastics,
                       when they tested three popular bottled water
                       brands.


                       Using hyperspectral stimulated Raman scattering
                       (SRS) microscopy, the researchers could observe
                       particles as small as 100 nanometers in the water
                       they examined.


                # ⚓ uni Columbia ☛ Bottled_Water_Can_Contain_Hundreds_of
                  Thousands_of_Nanoplastics⠀⇛


                       The researchers tested three popular brands of
                       bottled water sold in the United States (they
                       declined to name which ones), analyzing plastic
                       particles down to just 100 nanometers in size. They
                       spotted 110,000 to 370,000 particles in each liter,
                       90% of which were nanoplastics; the rest were
                       microplastics. They also determined which of the
                       seven specific plastics they were, and charted
                       their shapes—qualities that could be valuable in
                       biomedical research.


                       One common one was polyethylene terephthalate or
                       PET. This was not surprising, since that is what
                       many water bottles are made of. (It is also used
                       for bottled sodas, sports drinks and condiments
                       such as ketchup and mayonnaise.) It probably gets
                       into the water as bits slough off when the bottle
                       is squeezed or gets exposed to heat. One recent
                       study suggests that many particles enter the water
                       when you repeatedly open or close the cap, and tiny
                       bits abrade.


                       However, PET was outnumbered by polyamide, a type
                       of nylon. Ironically, said Beizhan Yan, that
                       probably comes from plastic filters used to
                       supposedly purify the water before it is bottled.
                       Other common plastics the researchers found:
                       polystyrene, polyvinyl chloride and polymethyl
                       methacrylate, all used in various industrial
                       processes.


                       A somewhat disturbing thought: the seven plastic
                       types the researchers searched for accounted for
                       only about 10% of all the nanoparticles they found
                       in samples; they have no idea what the rest are.
                       [...]


                # ⚓ The_endless_quackery_and_grift_of_The_Wellness_Company⠀⇛


                       About a week ago, I noticed that Dr. Robert
                       “inventor of mRNA vaccines” Malone and Trial Site
                       News were targeting The Wellness Company, the
                       supplement company in which COVID-19 antivaxxer and
                       quack Dr. Peter McCullough has become a major
                       player, with an “investigative report” entitled
                       Monetizing the COVID-19 Backlash—Big Vision,
                       Palpable Demand, But Can They Pull it Off? Given
                       that there are few things I enjoy better than a
                       quack fight, I knew that this would have to be the
                       topic of my first post for this year, especially
                       when I’ve written about The Wellness Company before
                       in the context of Dr. McCullough’s selling
                       nattokinase supplements (with bromelain) which
                       according to him break down SARS-CoV-2 spike
                       protein, as a fake cure for both COVID-19 and
                       COVID-19 vaccine “injury” and also because Dr.
                       Robert Malone, siding with Trial Site News, got
                       permission to repost the entire story on his
                       Substack, characterizing it as Trial Site News‘
                       “fair and balanced ‘deep dive’ investigation into
                       ‘The Wellness Company.'”


                # ⚓ LRT ☛ How_to_survive_January_Blues?⠀⇛


                       The third Monday of the year is dubbed Blue Monday,
                       or the saddest day of the year. This phenomenon is
                       not scientifically proven, but the gloomy January
                       does make many people feel down. So, what can we do
                       to help ourselves feel better?


          o § Proprietary/Artificial Intelligence (AI)⠀➾


                # ⚓ NYPost ☛ I_asked_Hey_Hi_(AI)_to_show_me_a_stay-at-home
                  mom’s_life_—_it_got_it_so_wrong⠀⇛


                       A mother-of-three was shocked at the perfect life
                       depicted when Abusive Monopolist Microsoft Chaffbot
                       was asked to show what a stay-at-home mom looked
                       like.


                # ⚓ Jon Udell ☛ 7_Guiding_Principles_for_Working_with_LLMs⠀⇛


                       Here’s the latest installment in the series on
                       working with LLMS: 7 Guiding Principles for Working
                       with LLMs.


                # ⚓ Daniel Miller ☛ Desperation_Algorithms⠀⇛


                       Just like the algorithm that tries to keep me
                       consuming content on the platform, the algorithm
                       that chooses ads from the platform’s vast inventory
                       is comically bad. In the case of YouTube, I have
                       checked or unchecked all the boxes in Google that
                       make it so it can’t track me quite so closely. But
                       they still know about all those videos I’ve
                       watched, right? Still, I get the most ridiculous
                       ads. There are a couple that are clearly auto-
                       generated from an image and some text, the image
                       being a low-resolution copy of the company’s logo,
                       which the YouTube ad generator stretches and
                       squashes into a blurry, pixelated mess. Then there
                       are the ads for hyper-conservative content, my
                       little view into the frankly paranoid and seething
                       world of the far right. I get these ads either in
                       spite of or because I have watched left-leaning
                       content on the platform.


                # ⚓ India Today ☛ Google_confirms_it_has_already_fired_over
                  1000_employees_in_recent_weeks,_AI_reorganisation_going_on⠀⇛


          o § Defence/Aggression⠀➾


                # ⚓ New York Times ☛ Much_of_Houthis’_Offensive_Ability_Remains
                  Intact_After_U.S.-Led_Airstrikes⠀⇛


                       The strikes damaged the group’s ability to carry
                       out complex missile and drone attacks, U.S.
                       officials said, but identifying targets has proved
                       to be a challenge.


                # ⚓ New York Times ☛ Monday_Briefing:_Houthis_Hold_Firm_After
                  Strikes⠀⇛


                       Also, Taiwan’s president-elect and India’s court
                       case backlog.


                # ⚓ JURIST ☛ US_and_UK_defend_strikes_on_Houthis_at_UN_Security
                  Council_amid_fears_of_escalation⠀⇛


                       The US and UK defended the legality of their
                       strikes launched in Yemen against Houthi rebels at
                       the UN Security Council’s Friday meeting.


                # ⚓ France24 ☛ 🔴_Live:_US_downs_missile_fired_from_Yemen_at
                  American_warship⠀⇛


                       The US military said Sunday its forces shot down a
                       cruise missile fired at an American destroyer
                       warship from Houthi controlled areas of Yemen. The
                       attack appears to be the first against a US
                       destroyer amid a growing number of missile and
                       drone strikes or attempted strikes by the Houthis,
                       on what they deem Israeli-linked shipping on the
                       key Red Sea trade route.  Follow our live blog for
                       all the latest developments.


                # ⚓ YLE ☛ Finnish_firms_exporting_crucial_equipment_to_Russia
                  despite_sanctions⠀⇛


                       Using customs documents, journalists from Yle's MOT
                       investigative reporting unit uncovered the firms
                       involved. They are mostly companies owned by
                       individuals with Russian backgrounds that operate
                       in the small-scale logistics and freight forwarding
                       sectors.


                # ⚓ Open Dialog Foundation ☛ Russia’s_Accomplices_in_the_War
                  Against_Ukraine:_Kazakhstan_and_Kyrgyzstan,_the_Russian
                  Army’s_Reliable_Rear⠀⇛


                       By suppressing civil society, the media, and
                       restricting the rights and freedoms of citizens,
                       the Kyrgyz authorities narrow the space for
                       objective reporting and criticism of the actions of
                       the Kyrgyz leadership, not only in relation to
                       large-scale corruption, but also regarding the
                       support of Russia in circumventing sanctions.
                       Democratic countries should impose personal
                       sanctions on representatives of the Kyrgyz
                       authorities, for increasing the number of political
                       prisoners, restricting the right to peaceful
                       assembly and persecuting independent media.


                       [...]


                       As a member of the Eurasian Economic Union (EEU)
                       and the Collective Security Treaty Organization
                       (CSTO), Kyrgyzstan, like Kazakhstan, plays an
                       important role in ensuring the supply of banned
                       goods to Russia despite international sanctions.
                       Given the small volume of the country’s GDP (about
                       USD 10.5 billion for 2022), it is important to
                       consider export growth for 2022 rather than the
                       total amount of goods delivered when analysing
                       exports from Kyrgyzstan to Russia, as it is export
                       growth that reflects the policy of the Kyrgyz
                       authorities to help Russia circumvent sanctions:
                       [...]


                # ⚓ Atlantic Council ☛ The_sentencing_of_a_US_Navy_sailor_is_a
                  window_into_Chinese_espionage._Here’s_how_the_US_should
                  respond.⠀⇛


                       The United States and its allies and partners are
                       under constant threat from pervasive efforts by
                       China to collect intelligence, though this rarely
                       makes it into the public eye. This week provided a
                       clear reminder of this threat. On January 8, US
                       Navy sailor Wenheng Zhao, who pled guilty in
                       October 2023 in the Central District of California
                       to one count of conspiring with a foreign
                       intelligence officer and one count of receiving a
                       bribe, was sentenced to twenty-seven months in
                       prison and ordered to pay a $5,500 fine.


                # ⚓ Tom's Hardware ☛ Despite_sanctions,_Chinese_military,
                  universities,_and_government_bodies_procure_Nvidia_GPUs.⠀⇛


                       The U.S. imposed bans on the exports of Nvidia's
                       A100 and H100 chips to China and Hong Kong in
                       September 2022, which lead to Nvidia designing A800
                       and H800 models tailored for Chinese market (in
                       October 2023, the U.S. government restricted
                       shipments of both A800 and H800 to China). Despite
                       this, dozens of Chinese entities continued to
                       acquire A100 and H100, according to the publicly
                       available tender documents, Reuters claims. The
                       review of these transactions shows that more than
                       100 tenders involved the procurement of A100 chips,
                       and several tenders since the October ban included
                       purchases of the A800 model. Most of these tenders
                       require delivery and installation prerequisites
                       before payment, ensuring the completion of these
                       transactions.


                # ⚓ Meduza ☛ More_than_20_Finnish_companies_reportedly
                  exporting_military_goods_to_Russia⠀⇛


                       The companies in question either exported goods
                       directly to Russia or acted as intermediaries.
                       Goods from Finland were also sent through other
                       countries, such as Uzbekistan, allowing Russia to
                       circumvent sanctions, according to Yle.


                # ⚓ New York Times ☛ Britain_Moves_to_Ban_the_Islamist_Group
                  Hizb_ut-Tahrir⠀⇛


                       Parliament is expected to debate and vote on the
                       measure this week. If approved, it would take
                       effect as early as Friday.


                       James Cleverly, the home secretary, said in a
                       statement on Monday, “Hizb ut-Tahrir is an
                       antisemitic organization that actively promotes and
                       encourages terrorism, including praising and
                       celebrating the appalling 7 October attacks.”


                # ⚓ JURIST ☛ UK_moves_to_declare_Hizb_ut-Tahrir_a_terrorist
                  group⠀⇛


                       Hizb ut-Tahrir is an Islamist political group that
                       operates in 32 countries worldwide but is banned in
                       several states, including Germany and Egypt. It
                       aims to establish the Islamic Khilafah, which,
                       according to their website, involves “presenting
                       the Islamic solutions to address contemporary
                       problems, political activism and ultimately working
                       for political change in the Muslim countries in a
                       non-violent way.”


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


                      # ⚓ RFA ☛ N_Korea_confirms_new_hypersonic_missile_test_as
                        minister_heads_to_Russia⠀⇛


                             Pyongyang claimed that its test was safe for
                             neighbors and unrelated to regional security.


                      # ⚓ The Straits Times ☛ Russia_welcomes_North_Korean
                        foreign_minister_for_talks_on_deepening_ties⠀⇛


                             North Korean Foreign Minister Choe Son Hui is
                             due in Russia on Monday for talks with her
                             counterpart, Sergei Lavrov, as the two
                             countries deepen economic, political, and
                             military ties.


                      # ⚓ RFERL ☛ Russian_Poet_Lev_Rubenshtein_Dies_Of_Injuries
                        After_Being_Hit_By_Car⠀⇛


                             Renowned Russian poet and essayist Lev
                             Rubenshtein has died in Moscow at the age of
                             76, his family announced on January 14.


                      # ⚓ New York Times ☛ War_or_No_War,_Many_Older_Ukrainians
                        Want_to_Stay_Put⠀⇛


                             The front line in Ukraine is largely peopled
                             by the elderly these days. Some can’t afford
                             to get out. Others say they won’t abandon
                             their homes.


                      # ⚓ RFERL ☛ Zelenskiy_Heads_To_Davos_For_'Peace_Formula'
                        Talks_As_Dnipro_Marks_Anniversary_Of_Deadly_Missile
                        Strike⠀⇛


                             Residents of the eastern Ukrainian city of
                             Dnipro gathered on January 14 to mark the
                             first anniversary of a Russian missile strike
                             on a residential building that killed 46
                             civilians, as Ukrainian President Volodymyr
                             Zelenskiy prepared to travel to the Swiss
                             city of Davos.


                      # ⚓ RFERL ☛ Convicted_Former_Russian_Mayor_Released_To
                        Fight_In_Ukraine⠀⇛


                             A former mayor of the Russian Pacific coast
                             port of Vladivostok, who was sentenced to 12
                             years in prison in 2023 for bribe-taking, has
                             been released from prison to serve in the
                             Russian military in Ukraine.


                      # ⚓ RFERL ☛ Romanian_Farmers_Again_Block_Truck_Movement
                        At_Ukrainian_Border⠀⇛


                             Romanian farmers have again blocked the
                             movement of trucks at the Siret checkpoint
                             near the border with Ukraine, authorities on
                             both sides said on January 14.


                      # ⚓ RFERL ☛ War_In_Ukraine_Having_Consequences_For
                        Russia's_Health-Care_System,_U.K._Says⠀⇛


                             Russia's war against Ukraine is also
                             affecting Russian health care, according to
                             British intelligence reports.


                      # ⚓ Meduza ☛ Hundreds_of_protesters_in_Russia’s
                        Bashkortostan_demand_activist’s_release_and_governor’s
                        dismissal_—_Meduza⠀⇛


                      # ⚓ Meduza ☛ Russia_sees_increase_in_alcohol_dependence
                        diagnoses_for_first_time_in_decade_—_Meduza⠀⇛


                      # ⚓ Meduza ☛ Tinder_to_stop_working_in_Belarus_—_Meduza⠀⇛


                      # ⚓ Meduza ☛ Switzerland_to_host_global_peace_summit_on
                        Ukraine_—_Meduza⠀⇛


                      # ⚓ Meduza ☛ Child_reportedly_injured_by_falling_debris
                        after_Russian_air_defenses_down_eight_drones_in
                        Voronezh_region_—_Meduza⠀⇛


                      # ⚓ Meduza ☛ Russian_government_commission_endorses_bill
                        enabling_asset_seizure_for_convictions_related_to_“fake
                        news”_about_army_—_Meduza⠀⇛


                      # ⚓ Meduza ☛ How_Putin’s_daughter_makes_millions_as_a
                        shareholder_of_her_own_company_—_Meduza⠀⇛


                      # ⚓ Meduza ☛ Ukrainian_Air_Force_reportedly_shoots_down
                        Russian_radar_plane_over_Azov_Sea_—_Meduza⠀⇛


          o § Environment⠀➾


                # ⚓ YLE ☛ Polar_vortex_a_factor_in_Finland's_weeklong_deep
                  freeze⠀⇛


                       Finland is located on the edge of the polar vortex.
                       If the vortex breaks down in the middle of winter,
                       exceptionally cold air could reach as far as
                       southern Europe.


                # ⚓ Michael Bburkhardt ☛ Ecuador_and_the_Galápagos_Islands⠀⇛


                       🌋 Besides all kinds of interesting animal species,
                       the many islands themselves are just as
                       fascinating. The product of a volcanic hot spot,
                       the islands range in age from just hundreds of
                       thousands of years old in the west, to five million
                       years old in the east. One of may favorite
                       experiences was walking through a lava field.


                # § Energy/Transportation⠀➾


                      # ⚓ US News And World Report ☛ Sweden's_Northvolt_Raises
                        $5_Billion_Green_Loan_to_Expand_Battery_Factories⠀⇛


                             The company has now secured more than $13
                             billion in equity and debt to expand its
                             operations across Sweden, Poland, Germany,
                             the United States and Canada.


                # § Overpopulation⠀➾


                      # ⚓ NL Times ☛ Netherlands_should_aim_for_"moderate"
                        population_growth_to_20_million_people_in_2050⠀⇛


                             The commission pointed out that the
                             composition of the population will change in
                             the coming years. More people with diverse
                             cultural backgrounds already live in the
                             Netherlands, and there are more elderly
                             people. The aging population will reach a
                             peak in the next 10 to 15 years, and after
                             that, we will remain an “older” society, the
                             commission wrote. The aging population will
                             lead to greater staff shortages in healthcare
                             and education. The problems with these
                             facilities are different in every region.


          o § AstroTurf/Lobbying/Politics⠀➾


                # ⚓ The Register UK ☛ India_again_backs_down_on_its
                  controversial_PC_import_restrictions⠀⇛


                       Last Friday, India made another move when the DGFT
                       published a circular [PDF that states “Only the
                       import of Laptops, Tablets, All-in-one Personal
                       Computers, Ultra small form factor Computers and
                       Servers falling under HSN 8471 is ‘Restricted’ and
                       import should be allowed against a valid Import
                       authorisation only for above five item categories.”


                       “The given Import Restriction does not apply to any
                       other goods such as Desktop Computers, etc. under
                       tariff head 8471.”


                # ⚓ Alex Ewerlöf ☛ What_can_we_learn_from_Spotify_layoffs?⠀⇛


                       As we’ll see it’s not the micro-productivity
                       (personal level) but rather macro-productivity
                       (company scale) that motivates these layoffs, but
                       even then, there are external factors at play and
                       ironically layoffs add fuel to the fire.


                # ⚓ Digital Music News ☛ Universal_Music_Preparing_Major_Layoff
                  Round_of_‘Hundreds,’_with_Recorded_Music_Division_‘Hit_the
                  Hardest’⠀⇛


                       Bloomberg reported on Friday, January 12, that
                       Universal Music Group is planning a major round of
                       layoffs this quarter, according to those close to
                       the matter. Universal Music will cut “hundreds” of
                       jobs, with the company’s largest division, recorded
                       music, being “hit the hardest.”


                # ⚓ India Times ☛ How_OpenAI_plans_to_fight_election
                  misinformation_on_ChatGPT⠀⇛


                       2024 is an election year in many countries,
                       including the US and India. With the rise of AI in
                       the tech world, there’s a genuine concern over the
                       use of technology for election misinformation.
                       OpenAI, the creator of ChatGPT, has laid bare
                       details on how it plans to combat it. In a blog
                       post, OpenAI its our approach is to continue its
                       platform safety work by elevating accurate voting
                       information, enforcing measured policies, and
                       improving transparency.


                # § Misinformation/Disinformation/Propaganda⠀➾


                      # ⚓ Eesti Rahvusringhääling ☛ Watch_again:_Open_Estonia
                        Foundation_disinformation_forum⠀⇛


                             The XXVI Open Society Forum "Europe at the
                             Crossroads: Civil Society, Media Literacy and
                             Resilience in Europe" session can be viewed
                             by clicking the video player above.


                             Organizers said that the forum delves into
                             the nature and extent of problems associated
                             with disinformation, while also highlighting
                             the specific transnational and national
                             dynamics at play.


                      # ⚓ India Times ☛ Russian_version_of_Wikipedia_to_launch
                        soon,_reports_say⠀⇛


                             Russia has said it was not yet planning to
                             block Wikipedia - one of the few surviving
                             independent sources of information in Russia
                             since a state crackdown on online content
                             intensified after Moscow's invasion of
                             Ukraine in February 2022.


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


                # ⚓ RFERL ☛ Iran_Files_New_Charges_Against_Two_Journalists
                  After_Their_Release⠀⇛


                       Two Iranian journalists face new charges for
                       flouting Iran's hijab law after they published
                       photographs on social media without wearing head
                       scarves just hours after being temporarily released
                       from prison, where they were serving lengthy
                       sentences for their coverage of the death of Mahsa
                       Amini.


                # ⚓ Project Censored ☛ Exploring_Press_Freedoms:_Updates_on
                  Julian_Assange's_Extradition⠀⇛


                            The Official Project Censored Show
                            Exploring Press Freedoms: [...]


          o § Civil Rights/Policing⠀➾


                # ⚓ Democracy Now ☛ MLK_Day_Special:_Dr._Martin_Luther_King_Jr.
                  in_His_Own_Words⠀⇛


                       Today is the federal holiday that honors Dr. Martin
                       Luther King Jr. He was born January 15, 1929. He
                       was assassinated April 4, 1968, at the Lorraine
                       Motel in Memphis, Tennessee. He was just 39 years
                       old. While Dr. King is primarily remembered as a
                       civil rights leader, he also championed the cause
                       of the poor and organized the Poor People’s
                       Campaign to address issues of economic justice. Dr.
                       King was also a fierce critic of U.S. foreign
                       policy and the Vietnam War. We play his “Beyond
                       Vietnam” speech, which he delivered at New York
                       City’s Riverside Church on April 4, 1967, as well
                       as his last speech, “I’ve Been to the Mountaintop,”
                       that he gave on April 3, 1968, the night before he
                       was assassinated.


                # ⚓ Common Dreams ☛ Go_Placidly:_(Still)_In_Search_Of_the
                  Beloved_Community⠀⇛


                       It's tough, in this bleak, bloody, foreboding time,
                       to hold onto and keep faith with Martin Luther
                       King's lofty vision of equality forged through non-
                       violence. Still, we're trying. For succor there is
                       the memory of the blessed John Lewis, honored in a
                       new biography, for whom "the fire never dimmed";
                       the words of King himself, who argued, "Only when
                       it is dark enough, can you see the stars," and the
                       fierce Rev. William Barber, who rejects the
                       revisionist "happy MLK" and vows to "reconsecrate"
                       himself to the work at hand.


                # ⚓ Deutsche Welle ☛ Iran_extends_Nobel_laureate_Narges
                  Mohammadi_prison_sentence⠀⇛


                       Mohammadi's family said on Monday the Revolutionary
                       Court sentenced in December the Nobel Laureate to
                       15 months in prison. They added that she had
                       boycotted the trial.


                       Mohammadi is currently serving a 30-month sentence
                       in Tehran over allegedly spreading propaganda
                       against the ruling system, disobedience in prison
                       and defamation of authorities.


                # ⚓ RFERL ☛ Iranian_Police_Blame_Woman_For_Violence_Of_Her
                  Arrest⠀⇛


                       Tehran's police said in a statement the objective
                       of the incident was to impound the woman's vehicle
                       after she was caught defying the hijab law. Police
                       have been conducting vehicle inspections to
                       specifically target compliance with the law.


                       There have been previous reports of the Iranian
                       police utilizing city-wide CCTV cameras to identify
                       women who violate the mandatory hijab law and
                       subsequently impound their vehicles.


                # ⚓ The Register UK ☛ Infosys_co-founder_doubles_down_on_call
                  for_70-hour_work_weeks⠀⇛


                       Undoubtedly hard work played into the scenario,
                       after all the former exec admitted he worked 85 to
                       90 hours a week until retirement. But what also
                       helped build his empire was the domestic labor
                       provided by his wife, who took over such duties
                       alongside his in-laws who lived downstairs.


                # ⚓ The Register UK ☛ Cloudflare_defends_firing_of_staffer_for
                  reasons_HR_could_not_explain⠀⇛


                       Cloudflare has defended its HR practices after a
                       former employee posted a nine-minute video of a
                       phone call during which she was fired, asked for an
                       explanation for being let go, but was told those
                       who made the call were unaware of the reasons for
                       her dismissal.


                # ⚓ Silicon Angle ☛ IMF:_AI_will_affect_40%_of_jobs_and_could
                  worsen_inequality⠀⇛


                       “In advanced economies, about 60% of jobs are
                       exposed to AI, due to prevalence of cognitive-task-
                       oriented jobs,” said the researchers. “A new
                       measure of potential AI complementarity suggests
                       that, of these, about half may be negatively
                       affected by AI, while the rest could benefit from
                       enhanced productivity through AI integration.
                       Overall exposure is 40% in emerging market
                       economies and 26% in low-income countries.”


                # ⚓ Deutsche Welle ☛ AI_set_to_impact_60%_of_jobs_in_developed
                  economies:_IMF⠀⇛


                       The impact is expected to be different in the
                       developing world, with 40% of jobs in emerging
                       markets set to be impacted and 26% of jobs in low-
                       income countries.


                       But while these labor markets are set to see a
                       smaller initial impact from AI, they are also less
                       likely to benefit from the increased productivity
                       that AI promises.


                # ⚓ JURIST ☛ Iran_opens_new_case_against_recently_released
                  female_journalists_for_appearing_without_hijab⠀⇛


                       Iranian authorities arrested Hamedi and Mohammadi
                       in September of 2022, following protests over the
                       death of Mahsa Amini, who died following her
                       detention for not complying with Iran’s mandatory
                       hijab rules. At the time, Iranian authorities said
                       that she had died due to a pre-existing health
                       condition, but this account was rejected, sparking
                       nationwide protests. Both Hamedi and Mohammadi had
                       worked for reformist publications, with Hamedi
                       visiting the hospital while Amini was in a coma and
                       then breaking the story about Amini’s death,
                       publishing pictures of Amini’s parents mourning
                       their daughter at the Tehran hospital where she
                       died. Police arrested her shortly after. Mohammadi
                       worked for Ham-Mihan, a pro-reform daily newspaper
                       in Tehran, and traveled to Amini’s home of Saqqez
                       to report on the funeral and was arrested just days
                       later.


          o § Internet Policy/Net Neutrality⠀➾


                # ⚓ APNIC ☛ Beyond_borders:_A_recap_of_Afghanistan’s_School_on
                  Internet_Governance_2023⠀⇛


                       Exploring the key takeaways from AFSIG’s first
                       event in three years.


                # ⚓ The Atlantic ☛ The_Internet_Is_Being_Ruined_by_Bloated
                  Junk⠀⇛


                       Algorithms promise to do one basic job: pluck the
                       supposedly best content possible from the deluge of
                       the [Internet] and surface it to users. Some
                       algorithms may in fact prioritize length metrics
                       (such as time spent watching) as an indicator of
                       quality. But it’s hard to say for sure, because
                       tech companies tend not to give many details about
                       their inner workings. Longer videos, like all other
                       content, are recommended based on the preferences
                       and interests of viewers, the TikTok spokesperson
                       said.


                       In some ways, whether an algorithm is actually
                       hard-coded to prefer longer-form videos matters
                       less than whether creators think an algorithm
                       prefers longer-form videos. Folk theories of
                       algorithms end up influencing what kinds of content
                       get made. If people start believing that longer
                       videos or podcast episodes do “better,” they’ll
                       make more of them.


                # ⚓ Trail of Bits ☛ Internet_freedom_with_the_Open_Technology
                  Fund⠀⇛


                       Trail of Bits cares about [Internet] freedom, and
                       one of our most valued partners in pursuit of that
                       goal is the Open Technology Fund (OTF). Our core
                       values involve focusing on high-impact work,
                       including work with a positive social impact. The
                       OTF’s Red Team Lab exists to provide auditing
                       services for the software that protects privacy and
                       ensures open access to the [Internet], free of
                       censorship. We’re a proud member of the Red Team
                       Lab and have performed numerous engagements on
                       software products that are critical to [Internet]
                       freedom. See what we’ve been up to below.


                # ⚓ India Times ☛ Starlink_faces_licence_delay_as_DoT_seeks
                  clarity_from_DPIIT⠀⇛


                       DPIIT had in 2020 amended the foreign investment
                       policy to make prior government approval mandatory
                       for inflows from countries sharing a land border
                       with India through Press Note 3, which also
                       requires all foreign investors to share complete
                       shareholding details so as to check if there are
                       any investors from countries sharing a land border
                       with India, like China.


      § Monopolies/Monopsonies⠀➾


          o § Patents⠀➾


                # ⚓ Dennis Crouch/Patently-O ☛ Ethical_Infantilism_in_the_Age
                  of_Technological_Advancement⠀⇛


                       Martin Luther King Jr. received the Nobel Peace
                       Prize in 1964, and I re-read his speech today —
                       especially the portion contrasting development of
                       science and technology against development of the
                       human spirit.  The past 60 years have continued to
                       reveal astonishing discoveries and invention. Yet
                       King’s words and warnings continue to resonate
                       because we have continued to neglect our internal
                       realm.


                       Every man lives in two realms, the internal and the
                       external. The internal is that realm of spiritual
                       ends expressed in art, literature, morals, and
                       religion. The external is that complex of devices,
                       techniques, mechanisms, and instrumentalities by
                       means of which we live.


                # § Kangaroo Courts⠀➾


                      # ⚓ Kluwer Patent Blog ☛ T_1137/21_–_Even_Amendments
                        based_solely_on_Original_Dependent_Claims_may_be
                        Risky⠀⇛


                             The EPO’s Boards of Appeal are famously
                             strict on added matter. But normally
                             applicants can sleep soundly at night after
                             making amendments based entirely on the
                             original dependent claims having appropriate
                             back references, especially where the
                             amendments still cover the examples.


                # § Software Patents⠀➾


                      # ⚓ [Old] Internet Archive ☛ RSA_Security_Releases_RSA
                        Encryption_Algorithm_into_Public_Domain⠀⇛


                             Represented by the equation "c = me mod n,"
                             the RSA algorithm is widely considered the
                             standard for encryption and the core
                             technology that secures the vast majority of
                             the e-business conducted on the Internet. The
                             U.S. patent for the RSA algorithm (#
                             4,405,829, "Cryptographic Communications
                             System And Method") was issued to the
                             Massachusetts Institute of Technology (MIT)
                             on September 20, 1983, licensed exclusively
                             to RSA Security and expires on September 20,
                             2000.


          o § Trademarks⠀➾


                # § Right of Publicity⠀➾


                      # ⚓ Gizmodo ☛ Dumbest_AI_Stunt_of_the_Week:_A_Robot
                        George_Carlin_Standup_Special⠀⇛


                             Welcome back to the Dumbest Tech News of the
                             Week, Gizmodo’s Monday column where we dive
                             into the best of the worst that technology
                             has to offer. This week we’re exploring
                             Dudesy, an AI comedy podcast and video
                             channel run by comedian Will Sasso, writer
                             Chad Kultgen, and a tech company they refuse
                             to name. On Tuesday, Dudesy released the
                             special, “George Carlin: I’m Glad I’m Dead.”
                             Even Sasso and Kultgen seem uncomfortable
                             with the project, and that’s to say nothing
                             of the countless bad reviews and outrage from
                             Carlin’s family. In other words: it’s dumb.


          o § Copyrights⠀➾


                # ⚓ New York Times ☛ The_Next_Battle_in_Higher_Ed_May_Strike_at
                  Its_Soul:_Scholarship⠀⇛


                       Cases involving Stanford, Harvard and M.I.T. are
                       fueling skepticism over the thoroughness of
                       research — even from the academic world’s biggest
                       stars.


                # ⚓ Torrent Freak ☛ FrostWire_Returns_to_Google_Play_Store
                  After_Music_Industry_Takedown⠀⇛


                       With millions of users, BitTorrent client FrostWire
                       is no small player. The content-neutral download
                       tool distances itself from piracy but following an
                       Indian music industry complaint, it was unavailable
                       in the Play Store for more than a month. The
                       'misunderstanding' was eventually resolved so to
                       commemorate the comeback, FrostWire has just
                       released a new update, dubbing it the “Ice Phoenix”
                       release.


                # ⚓ Torrent Freak ☛ '£1m'_Pirate_TV_Box_Seller_Avoids_Prison
                  Due_to_Private_Prosecution_Delays⠀⇛


                       A man who sold "thousands" of piracy-configured TV
                       boxes to customers in the UK has avoided prison,
                       despite claims he generated up to £1 million.
                       Jordon Longbottom faced a private criminal
                       prosecution brought by the Federation Against
                       Copyright Theft but avoided a custodial sentence
                       after the case failed to be brought in a timely
                       fashion. Overcrowding in UK prisons was also taken
                       into consideration, undermining claims that small-
                       time pirates risk custodial sentences.


          o § Gemini* and Gopher⠀➾


                # § Personal/Opinions⠀➾


                      # ⚓ 🔤SpellBinding_—_VEILOSC_Wordo:_VIDEO⠀⇛


                      # ⚓ Be_for⠀⇛


                      # ⚓ Post_me_a_river⠀⇛


                             huge swaths of snow clouds


                             gliding the river's surface is how it looks


                      # ⚓ #Lore24_-_Day_15_-_On_Primer_on_Crystal_Techniques⠀⇛


                             I always had fond memories of the Dick and
                             Jane books when I was learning to read. When
                             I had children, we got them a copy of their
                             own and went through those stories that try
                             to teach children how to read. Later, there
                             were books that taught me how to do
                             electronics, programming, or woodworking.
                             Naturally, when I thought about how a world
                             that already knew magic would introduce it, I
                             figured I'd create a primer for a popular
                             magic system, hench the Primer on Crystal
                             Techniques[1] which is the foundation of
                             Kanéko's[2] understanding of magic in Flight
                             of the Scions[3].


                      # ⚓ Sometimes_I'm_so_tired_...⠀⇛


                             I read an article on the IT ticker about "no
                             charging your $favorite_toy for 50 years". No
                             kidding. Radio-nuclide batteries based on
                             Nickel-63. Ok, it's small and cute and it may
                             not power your $favorite_toy for a long time,
                             but you get it. So, homo sapiens is clever
                             enough to add yet another dimension to the
                             not so small waste and garbage problem:
                             radioactivity.


                      # ⚓ Sidereal_Time_(publ._2023-01-15)⠀⇛


                             Something I have wanted to have for a while
                             is a handy sidereal time clock, set to my
                             Local Sidereal Time. For those not familiar
                             with it, the basic idea is that, due to our
                             orbit around the sun, the sun moves around
                             the sky at a slightly slower speed than the
                             stars. This is a fun, but sometimes
                             confusing, feature of our created universe
                             which allows most of us to see a slightly
                             different set of stars each night throughout
                             the different seasons of the year — the
                             exception being those who live on either the
                             north or the south pole.


                # § Technology and Free Software⠀➾


                      # ⚓ There's_no_beating_a_good_keyboard_shortcut⠀⇛


                             Honestly: is there anything better than the
                             '%' key jumping one between curly braces in
                             vim?


                             Fun ponderings earlier today about how
                             awareness outward ("paying" attention) is
                             somehow paramount to denying the inner
                             reality, which to me is an irreligious
                             version of the opposite of "seek first the
                             kingdom of God and His righteousness". That
                             outflowing of awareness leads to an emptiness
                             driving more outflowing (as though the
                             outflowing could lead to a reclamation)
                             combined with attempting to garnish/draw the
                             attention/awareness of others.


                      # § Internet/Gemini⠀➾


                            # ⚓ January_2024_Update⠀⇛


                                   Life, it seems, likes to throw a lot of
                                   curveballs right at those times when
                                   I'm working hardest towards my goals.
                                   This is going to be an
                                   uncharacteristically personal post.
                                   Truth told I'm forcing myself to write
                                   because a) I haven't been keeping up
                                   this Gemlog and b) I need something to
                                   do right now to avoid spiraling.


                                   I haven't written much code recently
                                   either, at least not as much as I
                                   normally output. I've recently finished
                                   knocking my rust implementation of my
                                   Haggis archiver into shape so that it's
                                   not just a library but has a full
                                   command line program using the library.
                                   There is a C implementation as well,
                                   but I've only just started working on
                                   anything past the library.


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





                    ䷩ 𝚕𝚒𝚗𝚎 5050

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Links 16/01/2024: Surveillance Concerns and
Software Patents Thrown Out Again⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jan 16, 2024


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * Leftovers
          o Science
          o Hardware
          o Health/Nutrition/Agriculture
          o Proprietary/Artificial_Intelligence_(AI)
          o Security
                # Integrity/Availability/Authenticity
                # Privacy/Surveillance
          o Defence/Aggression
          o Environment
                # Energy/Transportation
          o Finance
          o AstroTurf/Lobbying/Politics
          o Censorship/Free_Speech
          o Civil_Rights/Policing
          o Internet_Policy/Net_Neutrality
          o Monopolies/Monopsonies
                # Patents
                # Copyrights
                # Gemini*_and_Gopher
                      # Personal/Opinions
                      # Technology_and_Free_Software
                            # Internet/Gemini
    * § Leftovers⠀➾


          o ⚓ James G ☛ What_type_of_cheese_are_you?⠀⇛


                 Now that I know what type_of_anime_hair_colour_would_suit
                 me_best, I felt it was time to investigate another
                 significant question: what type of cheese I am. With help
                 from an internet quiz, I was able to ascertain the answer
                 to this stilton-ly difficult question. (Evidently, my
                 cheese pun repoitoire is limited.)


          o ⚓ Off Guardian ☛ Jordan_B_Peterson:_The_Reflection_I_Never_Wished
            to_See⠀⇛


                 In the dusty corridors of intellectual exploration, I, an
                 avid follower of Jordan B Peterson’s insights into
                 Jungian psychology and Nietzschean philosophy, find
                 myself confronting a recent heartbreak.


          o § Science⠀➾


                # ⚓ Science Alert ☛ Even_Climate_Scientists_Weren't_Ready_For
                  2023,_And_That's_a_Worry⠀⇛


                       Something is very wrong.


                # ⚓ Science Alert ☛ Mysterious_Giant_Exploding_Craters_in
                  Siberia_May_Finally_Be_Explained⠀⇛


                       A decade old puzzle solved?


                # ⚓ Science Alert ☛ Thousands_of_US_Cities_Could_Verge_on
                  Becoming_Ghost_Towns_by_2100,_Study_Finds⠀⇛


                       Bringing unprecedented challenges.


                # ⚓ Science Alert ☛ Physicists_Announce_a_Breakthrough_in
                  Quantum_Coherence_at_Room_Temperature⠀⇛


                       Bringing practical devices closer.


          o § Hardware⠀➾


                # ⚓ Tom's Hardware ☛ Intel_quietly_releases_China_exclusive
                  Core_i7-14790F_'Black_Edition'_CPU⠀⇛


                       Intel releases its second 14th generation Raptor
                       Lake Refresh CPUs exclusively with the Chinese
                       market within a few days, continuing its tradition
                       of having a handful of exclusive variants for the
                       domestic market. Apart from a black colored box and
                       CPU cooler, there's no real difference compared to
                       universally available variants.


                # ⚓ Tom's Hardware ☛ China's_chip_imports_fell_by_a_record_15%
                  due_to_U.S._sanctions_and_globally_weaker_demand⠀⇛


                       Chip imports to China have fallen for a second year
                       in a row, and this time a record has been set at
                       15.4%.


                # ⚓ Hackaday ☛ USB-C_PD:_New_Technology_Done_Right⠀⇛


                       There is a tendency as we get older, to retreat
                       into an instinctive suspicion of anything new or
                       associated with young people. All of us will know
                       older people who have fallen down this rabbit hole,
                       and certainly anything to do with technological
                       advancement is often high on their list of ills
                       which beset society. There’s a Douglas Adams
                       passage which sums it up nicely:


                # ⚓ Hackaday ☛ Feeding_The_Fire_By_Robot⠀⇛


                       It might seem a little bit counterintuitive, but
                       one of the more carbon-neutral ways of heating
                       one’s home is by burning wood. Since the carbon for
                       the trees came out of the air a geologically
                       insignificant amount of time ago, it’s in effect
                       solar energy with extra steps. And with modern
                       stoves and well-seasoned wood, air pollution is
                       minimized as well. The only downside is needing to
                       feed the fire frequently, which [Anders] solved by
                       building a robot.


                # ⚓ Hackaday ☛ PDP-11_Trouble_With_A_Ruthless_Power_Supply
                  Issue⠀⇛


                       After [David Lovett] of [Usagi Electric] was
                       donated a few cars full of DEC PDP-11 minicomputers
                       of various flavors and vintages, he passed on most
                       of them to loving homes, but kept a few of them
                       himself. One goal of this being to put together a
                       PDP-11 system that could be more easily taken to
                       vintage computer shows than the ‘rollable’ PDP-11s
                       he had access to prior. Of 1980s PDP-11s, the
                       first-generation Large Scale Integration (LSI)
                       PDP11/03 system (so-called Q-Bus models) is among
                       the smallest, taking up about as much space as a
                       1980s desktop PC, while supporting the second
                       generation LSI PDP-11/23 cards. It all seemed so
                       easy until [David] tried testing the PDP-11/03’s
                       PSU and everything went south.


                # ⚓ Silicon Angle ☛ Samsung,_SK_hynix_to_build_$471B_chip_hub
                  in_South_Korea⠀⇛


                       Samsung Electronics Co. Ltd. and memory maker SK
                       hynix Inc. will spend 622 trillion won, or about
                       $471 billion, to establish a new chip hub in South
                       Korea. Bloomberg reported the plan today.


          o § Health/Nutrition/Agriculture⠀➾


                # ⚓ YLE ☛ Finnish_airports_see_rise_in_passenger_numbers,_but
                  no_return_yet_to_pre-pandemic_levels⠀⇛


                       Helsinki Airport was by far the nation's busiest
                       airport last year, but an increase in passenger
                       numbers was particularly evident in Finnish
                       Lapland.


                # ⚓ Mexico News Daily ☛ Got_1_min?_Tourism_in_Mexico_surpassed
                  pre-pandemic_numbers_in_2023⠀⇛


                       Foreign currency earnings from international
                       tourism to Mexico are expected to reach US $30
                       billion this year after a strong 2023.


                # ⚓ Hong Kong Free Press ☛ Hong_Kong_sees_almost_34_million
                  visitor_arrivals_in_2023,_firmly_below_pre-Covid_levels⠀⇛


                       Hong Kong saw nearly 34 million visitor arrivals
                       last year, according to provisional statistics
                       released by the Hong Kong Tourism Board (HKTB) on
                       Saturday, although figures remained firmly below
                       pre-pandemic levels.


                # ⚓ Ruben Schade ☛ Advertising_and_road_safety⠀⇛


                       Speaking of cars, I overheard a great conversation
                       at this coffee shop this morning from a motorbike
                       group; paraphrased:


                       I was riding around Gordon. Did you see the massive
                       billboards on the overpass? It’s a bloody massive
                       TV screen. It literally has moving images and
                       video.


                # ⚓ Science Alert ☛ Vaccination_Rates_in_The_US_Could_Be_Close
                  to_a_Dangerous_Tipping_Point [Ed: What the administration did
                  regarding COVID-19 lowered confidence in vaccines in
                  general]⠀⇛


                       Are we getting complacent?


                # ⚓ YLE ☛ Finland_expands_TBE_vaccinations_amid_'significant'
                  increase_in_cases [Ed: Could it be that something weakened
                  the immune response to it?]⠀⇛


                       More cases of tick-borne encephalitis were reported
                       last year, despite a shorter monitoring period
                       compared to past years.


                # ⚓ Science Alert ☛ Ancient_DNA_Helps_Solve_Multiple_Sclerosis
                  Mystery_in_Europe⠀⇛


                       Genes aren't all good or all bad.


                # ⚓ New York Times ☛ Workplace_Wellness_Programs_Have_Little
                  Benefit,_Study_Finds⠀⇛


                       An Oxford researcher measured the effect of popular
                       workplace mental health interventions, and
                       discovered little to none.


                # ⚓ Latvia ☛ Ministry_mulls_takeover_of_Latvian_regional
                  hospitals⠀⇛


                       The Ministry of Health (VM) has pledged this year
                       to assess the usefulness of becoming a shareholder
                       in regional health institutions. A couple of years
                       ago it saved the “Ludza Medical Center” from debts,
                       Latvian Television reported January 14.


                # ⚓ European Commission ☛ Commission_opens_participation_to
                  Critical_Medicines_Alliance⠀⇛


                       European Commission Press release Brussels, 16 Jan
                       2024 The European Commission's Health Emergency
                       Preparedness and Response Authority (HERA) launched
                       today an open call for expression of interest to
                       join the Critical Medicines Alliance


                # ⚓ France24 ☛ Guadeloupe_in_murky_waters:_French_islands_hit
                  by_wastewater_treatment_scandal⠀⇛


                       Located in the heart of the French Caribbean,
                       Guadeloupe is best known for its beaches, rivers
                       and waterfalls. But beyond the postcard image, more
                       than 70 percent of wastewater treatment plants in
                       the island are out of order – or nearly – despite
                       significant funding, particularly from the European
                       Union. The result is a health and environmental
                       catastrophe that threatens all the bathing waters
                       in this French overseas archipelago.


                # ⚓ Latvia ☛ Court_cancels_penalty_on_LTV's_broadcast_testing
                  Covid_immunity⠀⇛


                       By a judgment of January 8 this year, Riga Regional
                       Court revoked the punishment imposed by the
                       National Electronic Mass Media Council (NEPLP) on
                       Latvian Television (LTV) for the March 29, 2021
                       show "Forbidden Method“ testing Covid vaccines.


                # ⚓ Hong Kong Free Press ☛ Charge_against_student_accused_of
                  conspiring_to_wound_Hong_Kong_police_and_anti-epidemic
                  workers_dropped⠀⇛


                       A Hong Kong court has dropped a criminal charge
                       against a student originally accused of conspiring
                       to wound police officers and healthcare workers
                       during the Covid-19 pandemic.


          o § Proprietary/Artificial Intelligence (AI)⠀➾


                # ⚓ Hackaday ☛ AI_Binoculars_Know_More_About_Birds_Than_You⠀⇛


                       2024 is the year of adding Artificial Intelligence
                       to everything. Now, even a pleasant walk in the
                       woods is getting a dose of AI: optics manufacturer
                       Swarovski has announced the AX Visio, a binocular
                       set with an AI bird identification feature. Not
                       sure if that is a lesser or greater scaup on your
                       pond? These binoculars will tell you, for the low,
                       low price of  $4799.


                # ⚓ Digital Music News ☛ Who_Will_Watch_the_Hey_Hi_(AI)_Music
                  Hubs?_Discord_Layoff_Announced⠀⇛


                       Following a spate of layoffs at Amazon-owned
                       subsidiaries like Prime Video, Twitch, and Audible,
                       it appears more layoffs are on the horizon. Discord
                       has announced layoffs that will impact 170 workers
                       at its San Francisco headquarters.


          o § Security⠀➾


                # § Integrity/Availability/Authenticity⠀➾


                      # ⚓ Bruce Schneier ☛ Voice_Cloning_with_Very_Short
                        Samples⠀⇛


                             New_research demonstrates voice cloning, in
                             multiple languages, using samples ranging
                             from one to twelve seconds.


                             Research paper.


                # § Privacy/Surveillance⠀➾


                      # ⚓ Science Alert ☛ Can_Activity_Trackers_Really_Help_You
                        Achieve_Your_Fitness_Goals? [Ed: Surveillance disguised
                        as safety, fitness, and health]⠀⇛


                      # ⚓ MIT Technology Review ☛ Outperforming_competitors_as
                        a_data-driven_organization [Ed: Surveillance spun or
                        twisted as "HEY HI" (AI) to make it seem like worthy of
                        celebration]⠀⇛


                             In 2006, British mathematician Clive Humby
                             said, “data is the new oil.” While the phrase
                             is almost a cliché, the advent of generative
                             AI is breathing new life into this idea.


                      # ⚓ Reason ☛ When_Your_Heart_Becomes_a_Snitch⠀⇛


                             Modern medical devices are lifesavers. But
                             they’re vulnerable to hackers and compromise
                             our privacy.


                      # ⚓ Zimbabwe ☛ When_govts_give_out_free_SIM_cards,_you
                        know_the_potential_for_tracking_and_surveillance_is
                        huge⠀⇛


                             Some of us are old enough to remember when
                             SIM cards were out of the reach of many
                             people. I’ve heard stories of people selling
                             their cattle to buy SIM cards and that is not
                             an exaggeration, we really did buy cards for
                             over $300 at one point.


                      # ⚓ MIT Technology Review ☛ The_FTC’s_unprecedented_move
                        against_data_brokers,_explained⠀⇛


                             This article is from The Technocrat, MIT
                             Technology Review‘s weekly tech policy
                             newsletter about power, politics, and Silicon
                             Valley. To receive it in your inbox every
                             Friday, sign up here. We’re only a few weeks
                             into 2024, and violations of people’s privacy
                             are already making some big headlines!


                      # ⚓ RFA ☛ Is_Apple's_AirDrop_safe_to_use_in_China?⠀⇛


                             The company has yet to comment on concerns
                             that user anonymity is no longer guaranteed.


          o § Defence/Aggression⠀➾


                # ⚓ teleSUR ☛ Sudan:_More_than_7.4_Million_People_Flee_War,_UN
                  Says⠀⇛


                       "Insecurity, looting, bureaucratic impediments,
                       poor network and phone connectivity, lack of cash,
                       and limited technical and humanitarian staff are
                       affecting the delivery of aid."


                # ⚓ LRT ☛ Lithuania_loses_second_CIA_prison_case_in_Strasbourg
                  court⠀⇛


                       The European Court of Human Rights (ECHR) on
                       Tuesday awarded 100,000 euros to Saudi national
                       Mustafa al-Hawsawi for his unlawful detention two
                       decades ago at a suspected secret facility in
                       Lithuania run by the US Central Intelligence
                       Agency.


                # ⚓ RFERL ☛ Director,_Editors_Of_Kyrgyz_News_Website_Detained
                  After_Offices_Searched⠀⇛


                       Security officers in Kyrgyzstan's capital,
                       Bishkek,  detained Asel Otorbaeva, the director-
                       general of the 24.kg news website, and chief editor
                       Makhinur Niyazova on January 15 after searching the
                       independent media outlet's offices.


                # ⚓ The Strategist ☛ Ideology_shapes_China’s_views_of_Australia
                  more_than_we_think⠀⇛


                       As I’ve previously argued on this forum,
                       conceptions of the virtues of a historically China-
                       centric regional order are deeply ingrained in
                       Chinese society, including among a new generation
                       taught from infancy to resist external threats
                       [...]


                # ⚓ New York Times ☛ ​North_Korea_Says_It_No_Longer_Wants_to
                  Reunify_With_South_Korea⠀⇛


                       Abandoning the longtime goal, however unlikely, Kim
                       Jong-un, the North’s leader, instead threatened to
                       subjugate South Korea in war.


                # ⚓ RFA ☛ Kim_Jong_Un_to_revise_constitution,_label_S_Korea_as
                  ‘primary_enemy’⠀⇛


                       The move shows Pyongyang’s dissatisfaction with
                       South Korea’s hardline stance against North Korea,
                       says expert.


                # ⚓ France24 ☛ N._Korea_formally_abolishes_govt_agencies
                  working_for_cooperation_with_South⠀⇛


                       North Korea is formally abolishing a handful of key
                       government agencies charged with promoting
                       cooperation and reunification with the South, state
                       media reported Tuesday.


                # ⚓ The Straits Times ☛ North_Korea_closes_agencies_working_for
                  reunification_with_South⠀⇛


                       Mr Kim Jong Un threatened South Korea with war if
                       “even 0.001 mm” of the North’s territory is
                       violated.


                # ⚓ JURIST ☛ New_president_of_Guatemala_formally_inaugurated
                  after_failed_weekend_coup_d’état⠀⇛


                       Guatemala’s new president, Bernardo Arévalo, was
                       inaugurated and sworn into office Monday after an
                       initial ceremony on Sunday was interrupted by what
                       international observers called an “orchestrated
                       coup d’état.” In a message posted on X (formerly
                       Twitter) in Spanish just hours before Monday’s
                       rescheduled ceremony, Arévalo said the nation will
                       now move forward.


                # ⚓ The Straits Times ☛ South_Korea,_US_to_start_defence_cost
                  talks_early,_before_US_elections:_Report⠀⇛


                       The countries had agreed to start talks in 2024 on
                       extending the deal to 2026 and beyond.


                # ⚓ The Straits Times ☛ Korean_Air,_Cathay_Pacific_planes
                  collide_at_Hokkaido_airport⠀⇛


                       There are no immediate reports of injuries.


                # ⚓ Latvia ☛ Corruption_cops_to_look_at_Latvian_MPs'_trip_to
                  China⠀⇛


                       The Corruption Prevention and Combating Bureau
                       (KNAB) plans to assess the trip of several Saeima
                       deputies to China. Several members working with
                       China's Parliament are currently in China. Foreign
                       policy experts also pay heightened attention to the
                       visit, Latvian Television reported on January 16.


                # ⚓ RFA ☛ Nauru_severs_diplomatic_ties_with_Taiwan,_to_seek
                  full_relations_with_China⠀⇛


                       Nauru’s government said recognition of Beijing will
                       help with the island country’s development


                # ⚓ Hong Kong Free Press ☛ Nauru_switching_ties_from_Taiwan_to
                  China_is_‘disappointing,’_US_says⠀⇛


                       The United States has expressed disappointment in
                       tiny South Pacific nation Nauru for switching
                       diplomatic recognition from Taiwan to China, while
                       a de-facto US envoy to Taipei criticised its
                       “distorted” rationale. Self-ruled Taiwan held a
                       crucial poll Saturday, with voters electing pro-
                       sovereignty candidate Lai Ching-te as the island’s
                       next president.


                # ⚓ Hong Kong Free Press ☛ South_Pacific_nation_Nauru_cuts
                  diplomatic_ties_with_Taiwan_in_boost_to_China⠀⇛


                       The tiny South Pacific nation of Nauru announced
                       Monday it was switching diplomatic ties from Taiwan
                       to China, a move that bolsters Beijing’s ambitions
                       in the region. The Nauru government said it would
                       no longer recognise Taiwan “as a separate country”
                       but “rather as an inalienable part of China’s
                       territory”.


                # ⚓ New York Times ☛ Taiwan_Loses_Ally_Nauru_After_Electing
                  President_Beijing_Loathes⠀⇛


                       The tiny Pacific island of Nauru severed relations
                       with Taiwan, a move that boosts China’s regional
                       sway and was seemingly timed to Taiwan’s
                       contentious recent election.


                # ⚓ The Straits Times ☛ US_says_Nauru_switching_ties_from
                  Taiwan_to_China_‘disappointing’⠀⇛


                       China rebuked the US’ expression of disappointment,
                       calling it a “smear” on Beijing.


                # ⚓ RFA ☛ Taiwan’s_president-elect_hopes_US_can_continue_to
                  support_the_island⠀⇛


                       Lai Ching-te’s remarks came during a high-level
                       United States delegation’s visit to Taiwan for a
                       three-day trip.


                # ⚓ France24 ☛ Taiwan_hails_US_ties_but_loses_rare_ally_as
                  Pacific_nation_Nauru_switches_to_China⠀⇛


                       Taiwan's president-elect Lai Ching-te on Monday
                       hailed the island's "solid partnership" with the
                       United States as he welcomed a delegation from
                       Washington making a post-election visit expected to
                       anger Beijing. But in a blow to Taipei, the tiny
                       South Pacific nation of Nauru announced it was
                       severing diplomatic ties with Taiwan and would
                       instead recognise China.


                # ⚓ The Straits Times ☛ Philippines_reaffirms_‘one_China’
                  policy_after_President_Marcos_congratulates_Taiwan’s_Lai⠀⇛


                       Mr Marcos had on Jan 15 referred to Mr Lai as
                       Taiwan’s next president.


                # ⚓ Hong Kong Free Press ☛ ‘Wrongful_words’:_China_summons
                  Philippine_ambassador_over_congratulatory_message_to_Taiwan’s
                  president-elect⠀⇛


                       China on Tuesday said it had summoned the
                       Philippine ambassador after President Ferdinand
                       Marcos said he looked forward to working with
                       Taiwanese president-elect Lai Ching-te.


                # ⚓ Defence Web ☛ Red_Sea_crisis:_expert_unpacks_Houthi_attacks
                  and_other_security_threats⠀⇛


                       Recent attacks on commercial vessels by Houthi
                       militia in the Red Sea have put the vital shipping
                       region in the spotlight. The Yemen-based rebels
                       claim to be targeting Israeli-linked vessels, in
                       protest at Israel’s war against Hamas in Gaza.


                # ⚓ Defence Web ☛ Houthi_missile_strikes_US_merchant_ship⠀⇛


                       A Houthi anti-ship ballistic missile struck a US-
                       owned and operated cargo ship on Monday 15 January,
                       US Central Command said in a statement. The vessel,
                       Gibraltar Eagle, a 199-metre long, 32 metre wide
                       bulk carrier owned and operated by US-owned Eagle
                       Bulk, sustained minor damage.


                # ⚓ AntiWar ☛ The_US_Military_Role_in_the_Red_Sea_–_Now Turning
                  Offensive_–_Is_a_Bad_Deal⠀⇛


                       Last week’s US/​British strike against Houthi
                       military targets in Yemen escalated operations to
                       protect shipping in the Red Sea from an expensive
                       and wasteful defensive project to an offensive that
                       could draw the United States further into the
                       Yemeni civil war.


                # ⚓ Defence Web ☛ US_and_UK_military_launch_attacks_against
                  Houthi_targets_in_Yemen_amid_fears_of_a_wider_conflict⠀⇛


                       Following repeated attacks using UAVs (unmanned
                       aerial vehicles), anti-ship and ballistic missiles
                       and a manned multiple boat attack on commercial and
                       US and UK naval shipping in the lower Red Sea, a
                       combined US and UK air and missile strike was
                       carried out on Thursday 11 January against selected
                       Houthi sites in Yemen.


                # ⚓ France24 ☛ Iraq_condemns_'attack_on_its_sovereignty'_as
                  Iranian_missiles_strike_Kurdish_region⠀⇛


                       Iraq condemned an "attack on its sovereignty" on
                       Tuesday after Iran's Revolutionary Guards launched
                       missile strikes on anti-Tehran groups and an
                       alleged Israeli "spy headquarters" in Erbil, the
                       capital of the semi-autonomous region of Kurdistan.


                # ⚓ France24 ☛ Houthi_rebels_claim_missile_strike_on_US-owned
                  ship_off_Yemen⠀⇛


                       Yemen's Houthi rebels hit a US-owned cargo vessel
                       with a missile on Monday, the US military said,
                       heightening fears for the volatile region after
                       repeated attacks on shipping triggered American and
                       British strikes.


                # ⚓ RFERL ☛ Iran_Strikes_Targets_In_Northern_Iraq,_Syria_As
                  Regional_Tensions_Escalate⠀⇛


                       Iran fired missiles late on January 15 at what it
                       claimed were Israeli "spy headquarters" near the
                       U.S. consulate in the northern Iraqi city of Irbil,
                       and at targets linked to the extremist group
                       Islamic State in northern Syria.


                # ⚓ The Straits Times ☛ Iran_says_it_launched_missiles_toward
                  Iraq_and_Syria_to_deter_security_threats⠀⇛


                       January 16, 2024 5:07 PM



                       Iran said on Tuesday it had launched ballistic
                       missiles at targets in Iraq and Syria in defence of
                       its sovereignty and security as well as to counter
                       terrorism.


                # ⚓ New York Times ☛ Houthis_Attack_More_Ships_in_Red_Sea_After
                  U.S.-Led_Strikes_in_Yemen⠀⇛


                       The Iranian-backed militants launched a fresh round
                       of attacks days after their military sites were hit
                       by U.S. and British forces.


                # ⚓ AntiWar ☛ To_Hell_With_Fighting_the_Houthis!⠀⇛


                       Here we go again. The “Joe Biden” thing just
                       started another war in Yemen without a
                       constitutionally compliant declaration by Congress.
                       And it/they did so against a rag-tag tribe of
                       desert insurgents who cannot possibly harm the
                       liberty or security of the American homeland.


                # ⚓ New York Times ☛ Hamas_Says_Two_More_Israeli_Hostages_Are
                  Dead⠀⇛


                       The group said the two were killed by Israeli
                       airstrikes, which the Israeli military said was at
                       least partly false.


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


                      # ⚓ RFERL ☛ Local_Lawmaker_Added_To_Russian_Wanted_List
                        After_Criticizing_Putin_Over_Ukraine⠀⇛


                             Russia's Interior Ministry on January 15
                             added a member of the Perm city council,
                             Sergei Medvedev, to its wanted list on
                             unspecified charges.


                      # ⚓ Meduza ☛ Local_Russian_lawmaker_who_spoke_out_against
                        war_in_Ukraine_and_called_Putin_a_monster_reportedly
                        put_on_wanted_list_—_Meduza⠀⇛


                      # ⚓ Latvia ☛ Ukrainian_nurse_in_Latvia:_I_will_try_to_get
                        citizenship⠀⇛


                             Nine doctors from Ukraine work in Liepāja,
                             and two others – dentist Oleksy Buryak and
                             nurse Natalya Reutskaya – in South Kurzeme.
                             She and her family have decided to stay in
                             Latvia until her son graduates school.
                             Natalya continues to learn Latvian and thinks
                             she might acquire Latvian citizenship in the
                             future, TV Kurzeme reported on January 16.


                      # ⚓ Latvia ☛ 4x4_vehicles_donated_to_Ukraine_by_Latvian
                        forest_rangers⠀⇛


                             Riga Forests Ltd has donated 12 Lada 4X4
                             Pickup cars to Ukrainian soldiers. On the
                             front, such four-wheel drive cars are
                             particularly needed, Latvian Television
                             reported on January 15.


                      # ⚓ Latvia ☛ Researcher:_Latvia's_Russian_speakers_are
                        conflicted_about_their_identity⠀⇛


                             Russian-speakers in Latvia are in the grip of
                             an identity crisis, and despite many of them
                             supporting Ukraine's defense against the
                             aggression of the Russian Federation,
                             divisions remain on issues such as the
                             interpretation of history, says Mārtiņš
                             Kaprāns, a researcher in philosophy and
                             sociology at the University of Latvia, in an
                             interview with Latvian Radio.


                      # ⚓ Latvia ☛ 43,000_Ukrainians_currently_have_refuge_in
                        Latvia⠀⇛


                             On 30 November 2023, about 4.27 million non-
                             EU citizens (4 274 630), who had fled Ukraine
                             as a consequence of the Russian invasion in
                             2022, were under temporary protection in the
                             EU, according to latest Eurostat data.


                      # ⚓ Latvia ☛ President_Zelenskyy_pays_tribute_to_Baltic
                        states⠀⇛


                             Following his official visit to Latvia,
                             Estonia and Lithuania last week, Ukrainian
                             President Volodymyr Zelenskyy has released a
                             powerful video message in which he thanks all
                             three countries for their support.


                      # ⚓ AntiWar ☛ Neocons_Blame_America_First⠀⇛


                             The blame game has commenced; America’s
                             Ukraine hawks have met the enemy, and it is
                             us.


                      # ⚓ AntiWar ☛ Wall_Street_Journal_Sets_Standard_for
                        Irresponsible_Journalism_in_Ukraine⠀⇛


                             Recently, The Wall Street Journal joined the
                             flood of American mainstream media outlets,
                             including The New York Times, Politico and
                             several others, in preparing the American
                             public for a Russian victory.


                      # ⚓ Security Week ☛ Hacker_Behind_$2_Million
                        Cryptocurrency_Mining_Scheme_Arrested_in_Ukraine⠀⇛


                             Ukrainian authorities have arrested an
                             individual allegedly involved in a $2 million
                             cryptojacking operation.


                      # ⚓ France24 ☛ Zelensky_headlines_Davos_forum_as_he_tries
                        to_rally_support_for_Ukraine⠀⇛


                             Ukrainian President Volodymyr Zelensky is
                             headlining a frenzied first full day of the
                             World Economic Forum's annual meeting in the
                             Swiss ski resort of Davos, where top
                             officials from the United States, the
                             European Union, China, the Middle East and
                             beyond will also take center stage Tuesday.


                      # ⚓ France24 ☛ 'Don't_forget_Ukraine':_UN_seeks_$4.2
                        billion_in_aid_for_millions_stricken_by_war⠀⇛


                             The United Nations appealed for $4.2 billion
                             from donors on Monday to support war-ravaged
                             communities in Ukraine and Ukrainian refugees
                             in 2024, as war rages nearly two years on
                             from Russia's invasion.


                      # ⚓ LRT ☛ IOM_Lithuania_to_cover_part_of_rent_for
                        Ukrainian_war_refugees⠀⇛


                             The International Organization for Migration
                             Vilnius Office (IOM Lithuania) said on
                             Tuesday that it will provide funds for war
                             refugees from Ukraine to help cover part of
                             their rent.


                      # ⚓ LRT ☛ Lithuania_still_undecided_whether_to_repatriate
                        military-age_Ukrainians⠀⇛


                             As Ukraine’s military is struggling to refill
                             its ranks, Kyiv wants to mobilise men living
                             abroad. The Estonian interior minister has
                             suggested that he would help help find
                             Ukrainians living in the country to be
                             mobilised. Lithuania, meanwhile, has not yet
                             made up its mind at this point.


                      # ⚓ RFERL ☛ Zelenskiy_To_Make_Case_For_Continued_Western
                        Support_For_Ukraine_At_Davos_Forum⠀⇛


                             President Volodymyr Zelenskiy is to address
                             the World Economic Forum in Davos on January
                             16 as he seeks continued international
                             support for Ukraine in its fight to stave off
                             the Russian invasion that is nearing the two-
                             year mark.


                      # ⚓ RFERL ☛ Romanian_Farmers,_Truckers_Block_Roads_In
                        Protests_Of_High_Business_Costs,_Ukraine_Policy⠀⇛


                             Hundreds of Romanian farmers and truck
                             drivers on January 15 protested for the sixth
                             consecutive day amid ongoing negotiations
                             with the government over the high cost of
                             diesel and other issues, including some tied
                             to the war in Ukraine.


                      # ⚓ RFERL ☛ Switzerland_Agrees_To_Zelenskiy's_Request_To
                        Host_Peace_Summit⠀⇛


                             Ukrainian President Volodymyr Zelenskiy said
                             on January 15 after arriving in Switzerland
                             that Ukrainian representatives have started
                             preparations for holding a global peace
                             summit in Switzerland.


                      # ⚓ RFERL ☛ Latvian_President_Says_Conscription_Needed_In
                        Face_Of_Potential_Russia_Threat⠀⇛


                             Russia's unprovoked invasion of Ukraine has
                             made the reintroduction of mandatory military
                             service in Latvia a necessity even though the
                             Baltic country is already a member of NATO,
                             President Edgars Rinkevics told Current Time
                             on January 15.


                      # ⚓ The Straits Times ☛ North_Korea_may_get_bolder_as
                        ties_with_Russia_deepen,_say_analysts⠀⇛





                             North Korea has much to gain from Russia’s
                             reliance on its weapons supply for Ukraine
                             war.


                      # ⚓ New York Times ☛ The_War_Has_Reined_In_Ukraine’s
                        Oligarchs,_at_Least_for_Now⠀⇛


                             Oligarchs have lost billions from the
                             shelling of their factories, and the
                             government has used its wartime powers to
                             break their political influence.


                      # ⚓ Meduza ☛ ‘Not_one_Western_general_would_fight_without
                        air_superiority’:_Evaluating_The_Washington_Post’s
                        analysis_of_Ukraine’s_2023_offensive_—_Meduza⠀⇛


                      # ⚓ Latvia ☛ Daugavpils'_Russians_stay_in_Latvia_after
                        failing_language_test⠀⇛


                             There are a number of Russian citizens living
                             in Daugavpils who have not passed the Latvian
                             language proficiency test and have not
                             received a temporary residence permit, but
                             they are not leaving for Russia either,
                             Latvian Radio reported on January 16.


                      # ⚓ Latvia ☛ Survey:_public_rather_indifferent_to_Latvian
                        Olympics_boycott_plan⠀⇛


                             The Latvian Olympic Committee (LOK) has not
                             yet decided whether Latvian athletes will
                             start at the Paris Olympics in the summer of
                             2024 if the participants include "neutral
                             athletes" from the aggressor countries Russia
                             and Belarus. There is no widespread support
                             in Latvian society for either scenario
                             according to the survey of residents
                             conducted by Norstat Research Centre in
                             cooperation with LSM.lv.


                      # ⚓ RFERL ☛ Thousands_In_Russia's_Bashkortostan_Demand
                        Release_Of_Activist⠀⇛


                             Thousands of people gathered on a central
                             square of the city of Baimak in Russia's
                             Bashkortostan region on January 15 to demand
                             the release of activist Fail Alsynov, who is
                             on trial on a charge of inciting hatred,
                             which he and his supporters reject as
                             politically motivated.


                      # ⚓ RFERL ☛ Detention_Of_Self-Exiled_Bashkir_Activist's
                        Half-Brother_Extended⠀⇛


                             A court in Ufa, the capital of Russia's
                             Republic of Bashkortostan, on January 15
                             extended the pretrial detention of Rustam
                             Fararitdinov, the half-brother of self-exiled
                             Kremlin critic Ruslan Gabbasov, until at
                             least March 22.


                      # ⚓ YLE ☛ Finnish_border_authorities_prepare_for_migrant
                        influx⠀⇛


                             A group of asylum seekers told Yle that there
                             are 2,000-3,000 people on the Russian side of
                             the border waiting to cross into Finland, but
                             authorities say this figure is unreliable.


                      # ⚓ YLE ☛ Up_to_3,000_migrants_waiting_to_enter_Finland
                        from_Russia,_asylum_seekers_tell_Yle⠀⇛


                             A group of four Syrian men attempted to enter
                             Finland via its eastern border last week.


                      # ⚓ RFERL ☛ Putin's_Daughter_Reportedly_Earned_More_Than
                        $10_Million_In_Three_Years_With_Well-Connected_Medical
                        Company⠀⇛


                             Russian President Vladimir Putin's eldest
                             daughter, Maria Vorontsova, earned 944
                             million rubles ($10.7 million) as an employee
                             of the New Medical Company (NOMEKO) from 2019
                             to 2022, opposition politician Aleksei
                             Navalny’s team said in an investigative
                             report published on January 15.


                      # ⚓ teleSUR ☛ Russia_and_Iran_Condemn_Attacks_on_Yemen
                        [Ed: Russia and Iran back terrorism against cargo
                        ships]⠀⇛


                             The United States and the United Kingdom have
                             been shelling the Houthis since Thursday.


                      # ⚓ Meduza ☛ ‘He’s_just_not_charismatic’:_Russia’s
                        leaders_want_this_guy_to_take_second_place_in_the_next
                        election._They_have_their_work_cut_out_for_them._—
                        Meduza⠀⇛


                      # ⚓ RFERL ☛ Tinder_To_End_Operations_In_Belarus_After
                        Valentine's_Day⠀⇛


                             Tinder owner Match Group has said the dating
                             app will end its operations in Belarus from
                             February 15 -- a day after Valentine's Day.


          o § Environment⠀➾


                # ⚓ The Straits Times ☛ About_1,000_tourists_trapped_in_China’s
                  Xinjiang_after_avalanches⠀⇛


                       They were stranded in a remote holiday village.


                # ⚓ YLE ☛ FMI_issues_cold_weather_warning_as_bone-chilling
                  conditions_return⠀⇛


                       The latest cold snap is forecast to remain over
                       Finland until Saturday.


                # ⚓ NYPost ☛ How_likely_is_New_York_City_to_break_its_700-day
                  snow_drought?⠀⇛


                       New York City has a “pretty good shot” of reaching
                       an inch of snow in Central Park Tuesday to end its
                       historical powder drought as Big Fashion Company
                       Apple residents cheered the season’s first real
                       winter storm.


                # § Energy/Transportation⠀➾


                      # ⚓ New York Times ☛ New_U.S._Solar_and_Electric_Car
                        Factories_Face_Familiar_Challenge:_China⠀⇛


                             Worries are growing in Washington that a
                             flood of Chinese products could put new
                             American investments in clean energy and
                             high-tech factories at risk.


                      # ⚓ CNX Software ☛ Betavolt_BV100_3V_nuclear_battery_aims
                        to_deliver_100_microwatts_for_over_50_years⠀⇛


                             Btavolt BV100 is a nuclear battery that never
                             needs to be charged and designed to output
                             3V/100µW (microwatts) for over 50 years for
                             the aerospace industry, Hey Hi (AI)
                             equipment, medical devices, MEMS systems,
                             advanced sensors, small drones, and micro-
                             robots.


          o § Finance⠀➾


                # ⚓ Ruben Schade ☛ The_VW_“Phaeton_Effect”⠀⇛


                       I’ve never known that much about cars, and
                       thesedays I’m all but hostile to them as a
                       technology in urban settings. They stand in the way
                       of meaningful change in every metric we care about,
                       from the environment and health, to fiscal
                       responsibility and safety. Not that I’m biased
                       towards walkable urban environments and public
                       transport or anything.


                       Here comes the proverbial posterior
                       prognostication: but… I was fascinated by the
                       Volkswagen Phaeton back in the mid-2000s. I don’t
                       own one, I never have, and I never will. Here comes
                       another but: the marketing and design of this
                       vehicle have informed specific ways in which I live
                       in my life, to the point where I say I’m Phaeton-
                       ing something. You can appreciate the impact it
                       must have had, given I’m willing to utter such an
                       awkward, syllable-laden phrase.


                # ⚓ YLE ☛ Inflation_hits_3.6%_in_December,_average_rate_of_6.2%
                  for_2023⠀⇛


                       Price rises during December were driven by
                       increases in the average interest rate on housing
                       loans, consumer credits and the prices of package
                       holidays.


                # ⚓ Latvia ☛ Monetary_policy_has_mitigated_the_toll_of
                  inflation⠀⇛


                       Only a few days ago, we wished each other a happy
                       New Year. With the year behind us, we reflect on
                       the events and achievements that shaped it.


          o § AstroTurf/Lobbying/Politics⠀➾


                # ⚓ New Yorker ☛ How_Donald_Trump_Broke_the_Iowa_Caucuses⠀⇛


                       Whether he wins as expected or somehow
                       underperforms, the former President has upended the
                       Republican contest without participating in a
                       single debate and having barely campaigned on the
                       ground.


                # ⚓ The Straits Times ☛ Najib_pardon_unlikely_due_to_other
                  charges_and_reputational_risk_to_Malaysia:_Analysts⠀⇛


                       Najib has so far served 17 months of his 12-year
                       prison sentence for graft.


                # ⚓ The Straits Times ☛ China_appoints_son_of_ex-president_Hu
                  Jintao_to_ministerial_role⠀⇛


                       Mr Hu Jintao’s abrupt exit at a key party congress
                       in 2022 sparked talk he had been purged.


                # ⚓ New York Times ☛ Joseph_Tacopina,_Key_Trump_Lawyer,
                  Withdraws_as_Manhattan_Criminal_Trial_Nears⠀⇛


                       Joseph Tacopina brought extensive experience with
                       high-profile cases to former president Donald J.
                       Trump’s legal team.


                # ⚓ Latvia ☛ Saeima_to_discuss_Latvia's_withdrawal_from_Ottawa
                  Convention⠀⇛


                       A collection of signatures on Latvia's withdrawal
                       from the Ottawa Convention has started. According
                       to the author of the initiative, Latvian society
                       would thus acquire a sense of security that the
                       Latvian border could be mined in case of attack of
                       the aggressor, Latvian Radio reported January 15.


          o § Censorship/Free Speech⠀➾


                # ⚓ JURIST ☛ Russia_designates_author_Boris_Akunin_as_‘foreign
                  agent’_amidst_dissent_crackdown⠀⇛


                       Russia’s Ministry of Justice designated popular
                       fiction writer Grigori Chkhartishvili (pen name
                       Boris Akunin) a “foreign agent” for his criticism
                       of Russia’s invasion of Ukraine.


                # ⚓ YLE ☛ Police_deny_prioritising_Halla-aho_complaints⠀⇛


                       Finland's Speaker of Parliament and presidential
                       candidate Jussi Halla-aho (Finns) has filed two
                       separate defamation claims against a comedian and a
                       Green party councillor.


                # ⚓ Hong Kong Free Press ☛ Hong_Kong_man_handed_2-month
                  suspended_jail_term_over_inciting_boycott_of_‘patriots’
                  District_Council_election⠀⇛


                       A Hong Kong man has been handed a two-month
                       suspended sentence over inciting others to boycott
                       the “patriots-only” District Council election in
                       December.


                # ⚓ Meduza ☛ Security_agents_search_newsroom_of_media_outlet
                  24.kg,_take_top_editors_in_for_questioning_—_Meduza⠀⇛


                # ⚓ Hong Kong Free Press ☛ Hong_Kong’s_own_security_law_should
                  be_‘forward_looking’_to_address_emerging_technology_risks,
                  leader_John_Lee_says⠀⇛


                       Hong Kong’s own national security law should be
                       “forward looking” to address emerging risks
                       presented by technology, Chief Executive John Lee
                       has said.


          o § Civil Rights/Policing⠀➾


                # ⚓ Off Guardian ☛ This_Week_in_the_New_Normal_#80⠀⇛


                       Our successor to This Week in the Guardian, This
                       Week in the New Normal is our weekly chart of the
                       progress of autocracy, authoritarianism and
                       economic restructuring around the world. Also, we
                       have a new banner.


          o § Internet Policy/Net Neutrality⠀➾


                # ⚓ IT Wire ☛ TPG_uses_survey_results_to_plug_new_fibre_upgrade
                  program⠀⇛


                       In a statement on Tuesday, the company said its
                       first Crappy Internet Report, conducted along with
                       data and insights organisation Pureprofile, had
                       surveyed 1000 users within Australia and found that
                       46% of users wanted better speeds and more reliable
                       connections.


                       TPG is using the survey results to plug a recently
                       announced Fibre Upgrade program which is being run
                       in collaboration with NBN Co.


                       The survey found that a quarter experienced one to
                       five dropouts while using the Internet, with the
                       worst home areas being the bedroom, living room and
                       toilet.


                       {loadposition sam08}TPG head of Fixed Product
                       Commercial Sammi Te said: “The good news is, with a
                       healthy dose of TPG Fibre, you can flush away those
                       crappy Internet problems once and for all.


                # ⚓ Trail of Bits ☛ Internet_freedom_with_the_Open_Technology
                  Fund⠀⇛


                       By Spencer Michaels, William Woodruff, Jeff
                       Braswell, and Cliff Smith Trail of Bits cares about
                       internet freedom, and one of our most valued
                       partners in pursuit of that goal is the Open
                       Technology Fund (OTF).


                # ⚓ APNIC ☛ Exploring_Telekom_Malaysia’s_RPKI_deployment⠀⇛


                       Guest post: When it comes to RPKI and ROA,
                       prevention is better than cure.


      § Monopolies/Monopsonies⠀➾


          o § Patents⠀➾


                # ⚓ Kluwer Patent Blog ☛ The_End_of_the_Road_for_DABUS_and_Dr
                  Thaler_at_the_UK_Supreme_Court⠀⇛


                       On 20 December 2023, the UK Supreme Court handed
                       down its highly anticipated judgment in the case of
                       Thaler v Comptroller-General of Patents, Designs
                       and Trademarks [2023] UKSC 49, unanimously ruling
                       that only a natural person can be named as an
                       inventor on a patent monopoly application.


                # ⚓ Silicon Angle ☛ Apple_proposes_Fashion_Watch_redesign_to
                  avoid_import_ban⠀⇛


                       Apple Inc. may redesign the Fashion Company Apple
                       Watch Series 9 and Watch Ultra 2 to avoid an import
                       ban that could prevent it from selling the two
                       devices in the U.S. The development was disclosed
                       today in a court filing spotted by 9to5Mac.


                # ⚓ JUVE ☛ Ones_to_Watch_UK_2024:_Toby_Bond [Ed: Spam disguised
                  as "news". JUVE already disclosed this firm pays it not just
                  for such spam but also disinformation and lobbying for
                  crimes, including UPC. JUVE found that the UPC 'underworld'
                  and blackhat marketing pay more than actual journalism.]⠀⇛


                       Every year, JUVE Patent carries out extensive
                       research in the UK patent monopoly market,
                       culminating in the publication of the UK patent
                       monopoly ranking. Our latest research highlighted
                       Toby Bond, partner at Bird & Bird, as one of five
                       ‘Ones to Watch’ in the UK patent monopoly market
                       for 2024.


                # ⚓ JUVE ☛ Ones_to_Watch_UK_2024:_Edward_Cronan [Ed: And yet
                  more spam. JUVE is a hired gun for marketing SPAM and
                  lobbying for crimes (that law firms stand to profit from). It
                  used to do actual journalism a decade ago.]⠀⇛


                       Every year, JUVE Patent carries out extensive
                       research in the UK patent monopoly market,
                       culminating in the publication of the UK patent
                       monopoly ranking. Our latest research highlighted
                       Edward Cronan, junior barrister at 11 South Square,
                       as one of five ‘Ones to Watch’ in the UK patent
                       monopoly market for 2024.


                # § Software Patents⠀➾


                      # ⚓ Unified Patents ☛ IP_Investments_Group_entity
                        DigiMedia_H.264/AVC_patent_monopoly_held_invalid⠀⇛


                             On January 12, 2024, the Patent Trial and
                             Appeal Board (PTAB) issued a final written
                             decision in Unified Patents, LLC v. DigiMedia
                             Tech LLC, holding one challenged claim of
                             U.S._Patent_6,473,532 unpatentable, and that
                             another challenged claim could not be ruled
                             on due to an antecedent basis issue (i.e.,
                             likely rendering that claim indefinite, or if
                             not, unpatentable; see pp. 36-41 of the
                             decision). Owned and asserted by DigiMedia
                             Tech, an NPE and an IP_Investments_Group
                             entity, the ‘532 patent monopoly relates
                             generally to processing and encoding of video
                             images for later compression by standard
                             compression techniques.


          o § Copyrights⠀➾


                # ⚓ New Yorker ☛ Is_Hey_Hi_(AI)_the_Death_of_I.P.? [Ed: They
                  mean copyrights, not "I.P.", and this headline presents a
                  false dilemma. Plagiarism, even if automated, is an old
                  issue.]⠀⇛


                       Generative Hey Hi (AI) is the latest in a long line
                       of innovations to put pressure on our already
                       dysfunctional copyright monopoly system.


                # ⚓ YLE ☛ Court_fines_Junes_Lokka_for_copyright_monopoly
                  infringement,_ethnic_agitation⠀⇛


                       The charges relate to the controversial former Oulu
                       city councillor's discriminatory use of a Somali-
                       language news bulletin, originally broadcast by
                       Yle.


          o § Gemini* and Gopher⠀➾


                # § Personal/Opinions⠀➾


                      # ⚓ 🔤SpellBinding:_ACIJLOM_Wordo:_SKOAL⠀⇛


                      # ⚓ Frames_Of_Reference-_Chapter_1⠀⇛


                             I don’t know who said that. I’m tired, but as
                             it happens there’s nobody outside and I know
                             there isn’t. I’m aware of my surroundings-
                             out here on my hammock, nestled tightly in,
                             between the folds, untethered by gravity,
                             free to rock back and forth.


                      # ⚓ Petanque?!⠀⇛


                             Petanque is a boules-type game played with
                             sets of hollow steel balls and a small wooden
                             ball called a "cochonnet". Its modern version
                             originated from southern France in the early
                             part of the 1900's. Petanque is played around
                             the world, and is a very accessible sport or
                             pastime for all age groups and levels of
                             athletic ability.


                # § Technology and Free Software⠀➾


                      # ⚓ If_You_Give_a_Hobbyist_a_Harddrive⠀⇛


                             I recently bought a 2TB hard drive for my
                             home server. I use this server to host
                             NextCloud and you can never have enough
                             storage space.


                             This server is an Inspiron 560s from 2008. It
                             only has two hard drive bays and already has
                             two hard drives. There is however a dvd bay
                             and a SD-card bay. The new hard drive fits
                             just perfectly in the SD-card bay, so that's
                             its new home.


                      # ⚓ Retro_Typing_Kids_Toys⠀⇛


                             Since my young boy loves to mash keyboard
                             buttons, I thought it would be a good idea to
                             get him something of his own. Many new toys
                             have lcd screens in them and I'm trying to
                             avoid getting him addicted to screens as much
                             as possible. So why not have a look into what
                             we used to play with a couple of decades ago.
                             Off I went on the hunt for some retro toys.


                      # ⚓ Objectives_🎯⠀⇛


                             In every dev job that I've had, I've had a
                             yearly meeting with a manager to set
                             objectives. Then we forget about them for a
                             year. Then we assess my performance against
                             them.


                      # § Internet/Gemini⠀➾


                            # ⚓ ew0k_talked_about_Gemini_in_a_Swedish_podcast⠀⇛


                                   Today my favorite Swedish developer
                                   podcast Kodsnack (that is, "code chat",
                                   not "cod snack", but that sounds like a
                                   think that you could actually find in
                                   northern Europe, probably Iceland. I
                                   digress.) released a new episode about
                                   my favorite network protocol: Gemini!


                            # ⚓ Hyperscalers_and_the_Smolnet_are_Incompatible⠀⇛


                                   Because running something small on
                                   something huge is a contradiction.
                                   Especially, because the smolnet is
                                   supposed to be an antidote to Big Tech
                                   and the concentration of power. And
                                   bigger tech than hyperscalers like
                                   Aamazon Web Services, Google Cloud
                                   Platform, Microsoft Azure, or
                                   CloudFlare does not exist, if you
                                   ignore Meta for a moment.


                            # ⚓ our_future_in_Internet⠀⇛


                                   The Internet is still very young, like
                                   everything in it (much younger than the
                                   network itself). Projects that are
                                   opened and promoted attract mainly
                                   young people, because those who are
                                   older want to sit on a chair and have
                                   live links for many, many years, and
                                   not missing sites of the same age.


                                   After a certain time (not as soon as we
                                   would like), the network will be cut
                                   into many cheburnetics, separately for
                                   all sorts of Netflixists, for geeks and
                                   smart people, for all sorts of flat-
                                   earthers and other sectarians, and for
                                   marketers. what will be of interest to
                                   the majority will be by subscription.
                                   as well as software (almost all), to
                                   edit an icon, avatar - subscribe, pay,
                                   and endure now live like this))))).


                            # ⚓ Gemlog_again,_naturally⠀⇛


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




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