𝕿𝖊𝖈𝖍𝖗𝖎𝖌𝖍𝖙𝖘 Bulletin for Monday, December 09, 2024
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Generated Tue 10 Dec 02:49:22 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/2024/12/09/


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

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


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

⦿ Techrights  -  As of December 8th (23 Days Remaining), the FSF (Free Software Foundation, Inc.) Already a Third of the Way Toward Ambitious Funding Goal

⦿ Techrights  -  Corporate Media Will Be Discarded and Eventually Die If It Keeps Doing "Bill Gates Sez" (or Similar) Pieces Instead of Journalism

⦿ Techrights  -  EPO Salaries Reduced: EPO's “Sustainability” Clause "Cuts the Average Overall Adjustment for Staff by –41,8%."

⦿ Techrights  -  Expose Corrupt Insurance Companies, Don't Kill People

⦿ Techrights  -  Google is Nuking Remaining Invidious Instances Again, Hoping to Force Everyone to Use Proprietary Spyware With DRM

⦿ Techrights  -  In Memory of Mike Magee (1949-2024) and Our Best Wishes to The Register, Which He Founded in the 1990s

⦿ Techrights  -  IRC Proceedings: Sunday, December 08, 2024

⦿ Techrights  -  [Meme] Jeff Bezos Working From Home

⦿ Techrights  -  [Meme] Sloppy Plagiarism Full of Errors, Lacking Actual Comprehension

⦿ Techrights  -  [Meme] Write Code, Not Social Control Media

⦿ Techrights  -  Microsoft's Grip on Armenia is Slipping, According to New Data From statCounter

⦿ Techrights  -  Microsoft's Windows is Pretty Much Dead in Haiti

⦿ Techrights  -  Microsoft: Target the Young (Get 'Em While They're Young)

⦿ Techrights  -  More LLM Spam/Slop About LLM Spam/Slop

⦿ Techrights  -  No Wonder Microsoft's LinkedIn and Github Have So Many Layoffs, Permanent Office Closures

⦿ Techrights  -  Over at Tux Machines...

⦿ Techrights  -  Reforming Versus Rebooting Versus Destroying Institutions

⦿ Techrights  -  'Remote' (From Home) Tech Workers Are More Productive for a Lot of Reasons

⦿ Techrights  -  [Teaser] EPO Management Thinks Inflation in Europe is 0.2% Per Annum

⦿ Techrights  -  This Week We Focus Again on European Patent Office (EPO) Scandals

⦿ Techrights  -  Tunisia is Android, Windows is Waning There

⦿ Techrights  -  Why Mike Magee Created and Was Involved in So Many News Sites About Technology

 ䷼ Bulletin articles (as HTML) to comment on (requires login):
https://techrights.org/n/2024/12/09/As_of_December_8th_23_Days_Remaining_the_FSF_Free_Software_Foun.shtml
https://techrights.org/n/2024/12/09/Corporate_Media_Will_Be_Discarded_and_Eventually_Die_If_It_Keep.shtml
https://techrights.org/n/2024/12/09/EPO_Salaries_Reduced_EPO_s_Sustainability_Clause_Cuts_the_Avera.shtml
https://techrights.org/n/2024/12/09/Expose_Corrupt_Insurance_Companies_Don_t_Kill_People.shtml
https://techrights.org/n/2024/12/09/Google_is_Nuking_Remaining_Invidious_Instances_Again_Hoping_to_.shtml
https://techrights.org/n/2024/12/09/In_Memory_of_Mike_Magee_1950_2024_and_Our_Best_Wishes_to_The_Re.shtml
https://techrights.org/n/2024/12/09/IRC_Proceedings_Sunday_December_08_2024.shtml
https://techrights.org/n/2024/12/09/Meme_Jeff_Bezos_Working_From_Home.shtml
https://techrights.org/n/2024/12/09/Meme_Sloppy_Plagiarism_Full_of_Errors_Lacking_Actual_Comprehens.shtml
https://techrights.org/n/2024/12/09/Meme_Write_Code_Not_Social_Control_Media.shtml
https://techrights.org/n/2024/12/09/Microsoft_s_Grip_on_Armenia_is_Slipping_According_to_New_Data_F.shtml
https://techrights.org/n/2024/12/09/Microsoft_s_Windows_is_Pretty_Much_Dead_in_Haiti.shtml
https://techrights.org/n/2024/12/09/Microsoft_Target_the_Young_Get_Em_While_They_re_Young.shtml
https://techrights.org/n/2024/12/09/More_LLM_Spam_Slop_About_LLM_Spam_Slop.shtml
https://techrights.org/n/2024/12/09/No_Wonder_Microsoft_s_LinkedIn_and_Github_Have_So_Many_Layoffs_.shtml
https://techrights.org/n/2024/12/09/Over_at_Tux_Machines.shtml
https://techrights.org/n/2024/12/09/Reforming_Versus_Rebooting_Versus_Destroying_Institutions.shtml
https://techrights.org/n/2024/12/09/Remote_From_Home_Tech_Workers_Are_More_Productive_for_a_Lot_of_.shtml
https://techrights.org/n/2024/12/09/Teaser_EPO_Management_Thinks_Inflation_in_Europe_is_0_2_Per_Ann.shtml
https://techrights.org/n/2024/12/09/This_Week_We_Focus_Again_on_European_Patent_Office_EPO_Scandals.shtml
https://techrights.org/n/2024/12/09/Tunisia_is_Android_Windows_is_Waning_There.shtml
https://techrights.org/n/2024/12/09/Why_Mike_Magee_Created_and_Was_Involved_in_So_Many_News_Sites_A.shtml

 ䷞ Followed by Daily Links (assorted news picks curated and categorised):
https://techrights.org/n/2024/12/09/Links_09_12_2024_Burned_Uncertain_Future_and_Failure.shtml
https://techrights.org/n/2024/12/09/Links_09_12_2024_Health_Care_Anger_and_Power_Vacuum_in_Syria.shtml
https://techrights.org/n/2024/12/09/Links_09_12_2024_UnitedHealthcare_C_E_O_s_Killer_Still_Unknown_.shtml

                    ䷩ 𝚕𝚒𝚗𝚎 112

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/12/09/As_of_December_8th_23_Days_Remaining_the_FSF_Free_Software_Foun.shtml
    Gemini version at https://techrights.org/n/2024/12/09/As_of_December_8th_23_Days_Remaining_the_FSF_Free_Software_Foun.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ As of December 8th (23 Days Remaining), the
FSF (Free Software Foundation, Inc.) Already a Third of the Way Toward
Ambitious Funding Goal⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Dec 09, 2024


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


THE FSF's memberships (or donations) drive is going a lot better than we
anticipated. In the face of online abuse from Microsofters (as mentioned_in_the
sister_site_a_few_hours_ago) and Microsoft-funded_copycats, it is managing to
raise about 10,000 dollars per day. It'll probably extend the cutoff/deadline
date. Will it reach 400,000 in January?


More and more people come to learn about and then properly recognise the
importance of Software Freedom because over time things get worse and people
ask, "WHY?"


We can make a better world, but we also need to invest (not just financially)
in this better vision of the world.


Many people have said things to the effect of "[m]y life every damn day is an
act of defiance." (to quote one_example)


Well, being a Free software 'stickler' is also an act of defiance. It helps
improve the world. It's an example for others to follow, e.g. "Digital_Vegan".
█




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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠘⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠀⠀⠀⠂⠀⠂⠀⠂⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 176

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/12/09/Corporate_Media_Will_Be_Discarded_and_Eventually_Die_If_It_Keep.shtml
    Gemini version at https://techrights.org/n/2024/12/09/Corporate_Media_Will_Be_Discarded_and_Eventually_Die_If_It_Keep.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Corporate Media Will Be Discarded and
Eventually Die If It Keeps Doing "Bill Gates Sez" (or Similar) Pieces Instead
of Journalism⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Dec 09, 2024


From "Elon Sez" to "S[C]AM Sez": (lots more like the example below, which is 7
hours old)


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇OpenAI_CEO_Sam_Altman_says_arrival_of_Superintelligence_will
    be_at_its_peak_for_layoffs;_Look_at_me_moving_my_hands,_like_a_boss!⦈_


Corporate, bribed by Microsoft (of course!) media is repeating every lie told
by SCAM Altman. He's no genius; he's only good_at_losing_a_lot_of_money_very
quickly with storytelling and hype - something that would not be possible if
the media had any sense of integrity and self-respect!


"Superintelligence" does not even mean anything! █




⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⡿⢿⢿⢿⢿⣿⠿⢿⡿⢿⣿⢿⣿⣿⠿⡿⢿⣿⣿⣿⣿⣿⡿⣿⡿⣿⣿⣿⢿⢿⣿⡿⣿⣿⢿⣿⣿⣿⠿⣿⣿⣿⣿⡿⡿⣿⡿⣿⣿⡿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣯⣵⣨⣦⣼⣤⣷⣮⣼⣮⣽⣤⣮⣼⣧⣼⣤⣼⣧⣯⣦⣧⣼⣤⣿⣥⣼⣼⣤⣯⣔⣹⣬⣯⣤⣼⣼⣴⣼⣤⣼⣾⣿⣿⣥⣧⣼⣠⣦⣤⣧⣼⣤⣥⣼⣧⣤⣡⣤⣧⣼⣭⣤⣾⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣋⣁⣸⣸⣈⣏⣹⣻⣁⣿⣁⣯⣹⢩⣉⣽⣉⣈⣿⣸⣍⣩⣇⣻⣉⣙⣍⣹⣹⣍⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⣿⣿⣿⣏⣍⣯⣿⣟⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡇⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡇⠀⠀⠈⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣯⣿⣽⣿⣿⣽⣯⣿⣿⣿⣿⣿⣿
⣿⣿⡇⠀⠀⠀⠀⠐⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣻⣿⣻⣟⣿⣿⣿⣻⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡇⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣄⣠⣼⣿⡄⡲⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣼⣯⣿⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢋⣿⣿⣿⡏⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣽⣭⣿⣿⣽⣯⣽⣿⣿⣿⣿⣭⡿⣽⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⢃⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣾⣾⣾⣿⣿⣿⣿⣾⣶⣷⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡻⣿⣳⣿⣿⣷⣿⣿⣶⣿⣿⣿⣾⣿⣾⣷⣿⣿⣿⣿⣿
⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠠⠿⠯⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⣿⣿⣿⣿⣿
⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⣤⣦⣄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣻⣛⣺⣿⣿⣿⣿⣿
⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣵⣮⣼⢟⣫⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢟⣫⢴⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣽⣿⣽⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿
⣿⣿⡇⠀⠀⠀⠀⠀⠀⡀⠀⢀⠀⠐⡄⠀⠀⠀⠀⠀⠀⠀⠠⠉⠀⠈⠉⠙⠻⣿⣃⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠠⢬⣷⢦⣸⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠀⠀⢀⠈⠛⠟⠋⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡿⠢⡀⠀⠀⠀⠀⠀⠈⣺⣷⣧⠋⠿⠀⠀⠀⠀⠀⠀⠀⠀⠠⠴⢖⣀⣉⣤⡄⠀⠀⠁⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣏⣉⣉⣍⣯⣅⣉⣉⣇⣏⣉⣉⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣇⠀⠈⢢⡀⠀⠀⠀⠀⠈⠙⠻⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠻⠿⠻⠆⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣷⣶⣾⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 236

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/12/09/EPO_Salaries_Reduced_EPO_s_Sustainability_Clause_Cuts_the_Avera.shtml
    Gemini version at https://techrights.org/n/2024/12/09/EPO_Salaries_Reduced_EPO_s_Sustainability_Clause_Cuts_the_Avera.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ EPO Salaries Reduced: EPO's
“Sustainability” Clause "Cuts the Average Overall Adjustment for Staff by
–41,8%."⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Dec 09, 2024


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Salary_adjustment_for_2024_as_of_1_January_2025:_A_⦈_


THIS week we shall focus [1, 2] on the EPO. Almost 15 years ago the coup
(French term) had begun with the Frenchman Benoît_Battistelli, who in 2018 left
in charge his longtime French friend António_Campinos. They've both been
culling the EPO, strip-mining and raiding_what's_left_of_it (and especially its
past reputation) for some quick cash. Unlike their friend and political ally
Michel_Barnier, they seem to face no consequences for anything they do, however
controversial if not seriously illegal. Aside from European_software_patents -
i.e. patents which are both illegal and undesirable - the EPO grants loads of
patents (probably hundreds of thousands so far) that no patent-centric courts
would honour except fake ones (and yes, they've_worked_hard_to_ensure_fake
courts_exist_too).


What does this all mean for staff? More money? Will they share the crime's
loot? Nope. The examiners in particular are just being used by the oligarchs'
enablers, i.e. people like Battistelli and Campinos, two highly corrupt
officials who basically bought their position/role (bribery). This isn't Moscow
we're talking about, albeit sometimes it seems apparent that the political
systems work similarly. Officials_in_Brussels_have_become_a_participating
component_in_it, so Brussels lacks an incentive to actually tackle the
corruption (i.e. to hold itself accountable). Kluwer Patent Blog is still run
by the likes of Brian Cordery (Bristows), so they cannot stop promoting the
fake 'courts', as does IP Kat (also Bristows-inflicted, it never_stopped).


The Central Staff Committee (CSC) still has the guts to talk about EPO affairs,
unlike the blogs above (they're basically compromised and increasingly part of
the problem because they're controlled by "the industry", i.e. patent
maximalists and litigation profiteers, not scholars).


This is what the CSC said a week ago about cuts to salaries (as costs grow
rapidly across Europe):


     Zentraler Personalausschuss
     Central Staff Committee
     Le Comité Central du Personnel


     Munich, 02.12.2024
     sc24067cp


     § Salary adjustment for 2024 as of 1 January 2025
     A “sustainability” cut⠀➾


     Back in 2019, Mr Campinos mandated Oliver Wyman and Mercer to perform
     a Financial Study which wrongly predicted deflation and long-term
     global recession. The bundle of financial measures voted in 2020 to
     cover the alleged financial gap comprised the revision of the salary
     adjustment procedure with the introduction of the “sustainability”
     clause capping the overall growth in salary mass at Eurozone
     inflation + 0,2%. Despite a unanimous opinion of the Appeals
     Committee considering the “sustainability” clause to be flawed, Mr
     Campinos persists in applying it. For 2024, the clause dramatically
     cuts the average overall adjustment for staff by –41,8%1.


     Costs of living and parallelism with salaries of civil servants…
     Historically, the EPO salary adjustment procedure stems from the one
     used in the Coordinated Organisations (COO) and is based on two
     principles:


     First, the costs of living updates are made by starting with national
     inflation (HICP) in Belgium to which are applied the power of
     purchase parities (PPPs) calculated by the International Service for
     Remuneration and Pensions (ISRP) for each place of employment. This
     ensures equality of purchasing power among sites.


     Second, the parallelism with the evolution of salaries of civil
     servants in eight reference countries represented by a specific
     indicator calculated by deflating their salaries and reflecting the
     trend in real terms.


     …abolished by the “sustainability clause”
     Since the first mandate of Mr Campinos, the EPO is on a
     “sustainability” campaign to justify the deterioration of working
     conditions. Mr Campinos introduced in 2020 a “sustainability” clause
     capping the overall growth in salary mass at Eurozone inflation (at
     2,5% on 1 July 2024) + 0,2%. This year, the clause cuts the salary
     adjustments as follows:


      🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇How_the_'sustainability'_clause_cuts?_Underlying
     methodology_After_sustainability_clause;_Munich_or_Berlin,_The_Hague,
                              Vienna,_Brussels⦈_


     ______


     1 CA/85/24, par. 19: "The percentage difference between the weighted
     average salary adjustment of +4,6% and the cap of +2,7%, is
     approximately 41,8%. This means that a reduction of 41,8% must be
     applied to the adjustment of each salary scale calculated using the
     underlying methodology"


     =====================================================================
     The overall adjustment for staff is cut by –41,8%. This situation is
     unique among International Organisations. After 5 years of
     introduction of the “sustainability” clause at the EPO, none of them
     considers this clause as an example to follow and to be included in
     their own salary adjustment procedure.


     On the breach of the principle of equal treatment
     Colleagues in the same salary group and step are entitled to equal
     pay, regardless of where they are employed. What is meant by equal
     pay is expressed by the coefficients of purchasing power parity
     (PPPs) listed in CA/85/24, Table 6 calculated and recommended by ISRP
     and are to be followed according to Article 64(6) ServRegs. The basic
     salary of a colleague in JG 6 at the end of their career amounts to
     the value according to grade 9, step 5 (G9-5) in the salary table for
     the respective place of employment. The G9-5 salary in Austria
     according to Table 4 amounts to EUR 9.124,73. The equal pay in the
     Netherlands is to be derived according to the PPPs in Table 6, which
     are 1,0448 for (AT) and 1,1044 (NL). It follows that the G9-5 salary
     in the Netherlands should amount to EUR 9.124,73 / 1,0448 * 1,1044 ≈
     EUR 9.777,12. However, the amount listed for the G9-5 salary in the
     Netherlands according to Table 2 is EUR 9.508,45. This is EUR 171,74
     less than the due amount according to equal pay. This significant
     discrepancy is not caused by rounding errors, but it is a severe
     breach of the principle of equal treatment.


     On the breach of the parallelism with salaries of civil servants
     Since 2021, the specific indicator had an index value below 100 (for
     2021: 99,1 for 2022: 96,1 for 2023: 98,3) reflecting that during
     these years, on average, the reference countries did not increase the
     salaries of their civil servants to the levels of inflation observed.


     However, for 2024, the specific indicator is 102.6 showing that the
     respective governments opted for a catch-up. The main driver is the
     very positive net salary evolution for civil servants in Germany
     (+5.3% in March 2024), the Netherlands (+8.5% in July 20242) and
     United Kingdom. However, the EPO “sustainability” clause capping the
     overall growth of salary mass at Eurozone inflation + 0,2% abolishes
     the positive effect of the indicator and the parallelism is not
     followed.


     On the redistribution “pool”
     The Advisory Group of Remuneration noted (CA/85/24, par. 50) that the
     percentage of the calculated salary adjustment for each EPO host
     country not used to adjust the salary scales is to be carried forward
     to a redistribution pool. The precise percentages cannot be found in
     the documents submit- ted to staff and the Council. The
     administration persistently refused to communicate them in the
     statutory meetings and only provided them from the tip of the lips at
     the end of the consultation in the GCC meeting of 19 November 2024.
     They are as follows:


       🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇EPO_ducks:_Munich/Berlin,_The_Hague,,_Vienna,
                                  Brussels⦈_


     The administration was reluctant to explain how the percentages would
     be used for future adjustments or for the payment of a lump-sum at
     the end of application of the present salary adjustment procedure.


     ____


     2 https://nltimes.nl/2024/03/30/salary-increase-85-percent-plus-50-
     euros-per-month-civil-servants


     =====================================================================
     Conclusion
     On 7 June 2024, the Appeals Committee delivered a unanimous opinion
     considering that the “sustainability” clause violated the principle
     of purchasing power parity. In the Communiqués of 13 June 2024 and 29
     October 2024, Mr Campinos asserted his decision not to follow the
     recommendation and to continue to apply the “sustainability” clause
     for future adjustments. As a result, the “sustainability” clause is
     applied for the year 2024 and has a detrimental impact on staff.


     However, the Communiqué of 26 November 2024 on the results of the
     salary adjustment 2024 attempts to hide this fact by omitting to
     present relevant information for staff: the calculation of the salary
     adjustments before application of the “sustainability” clause, the
     percentages which are cut and put in the redistribution of the pool,
     as well as the massive savings made by the Office on liabilities. Our
     requests for more detailed information were not satisfied.


     EPO staff works well for the organisation and deserve proper salary
     adjustments. They also deserve respect of our internal justice system
     and transparency.


With these sorts of "salary adjustments" (de facto reductions), how is the EPO
expecting to attract the talented scientists or poach them from academia? The
way things are going, the EPO has no actual plan to have suitably qualified new
examiners, only obedient drones who grant many invalid patents, some of which
might be judged - at some point in the future - by invalid (unconstitutional)
kangaroo courts.


The EPO is nowadays an existential threat to the EU. █




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⣿⣿⣿⠃⠐⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⠛⠛⠛⠟⠀⠀⠀⠘⠛⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠉⠀⠀⢸⣿⢸⠇⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠛⠛⠃⠀⠀⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠁⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣿⣿⠀⢀⣀⣸⣿⣀⣀⣀⣀⣀⣀⣀⣠⣿⡇⠀⠀⢸⣷⣂⣰⣄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⢤⣀⡀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣉⣁⣀⣠⣿⡿⠛⠛⠛⠛⠛⠛⠛⠛
⠀⠀⠀⠀⠉⠈⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⡆⠀⠘⣿⣿⡀⠀⠀⠀⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢰⣿⣆⠀⣴⣶⣶⠀⢠⣶⣶⣶⣶⣶⣶⣶⣶⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡿⠀⠀⠀⢹⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣿⡿⠛⠛⣿⣿⠀⠘⣿⣿⣿⣿⣯⣤⣬⣭⠭⢤⣄⣀⣀⣀⣀⣀⣀⣀⣀⣿⣿⣃⣀⣀⣀⣀⣿⣿⡇⣀⣠⣤⡤⣤⣤⠤⣴⣶⠶⣾⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣿⣿⣦⣴⣿⣿⣀⢀⣿⣛⣻⣿⣿⣿⣿⣷⣶⣶⣶⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠯⠿⡄⠀⢸⣅⣻⠿⠢⠿⠤⣻⣿⣴⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⡀⢀⢀
⡆⠀⠀⠸⣿⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣿⣿⣿⣿⣆⠀⢠⠀⠀⠀⣢⣠⡄⣄⡄⡴⣿⣿⡟⠛⢛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠁⠙
⠃⠀⠀⠀⠈⠘⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣟⣿⣻⠛⡿⢿⠟⢿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⢸⠸⠷⠹⠿⠿⠇⢙⣓⣑⣙⣿⡿⠿⠿⠟⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣀⡀⠀⠀⠉⣉⡛⠛
⣄⣀⡀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⣿⣿⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠙⠛⠛⠛⠛⠛⠛⠋⠛⠛⠛⠛⠛⠛⠋⠒⠚⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠟⠃⠀
⣿⣿⣿⣿⣿⣶⣶⣤⣠⣄⣀⣀⣀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⡿⡿⠻⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣦⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠟⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠷⠶⠶⠦⠤⠤⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⣿⣿⣿⢿⣿⣿⡿⢿⣿⣿⣿⣿⡿⣿⣿⡿⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⣠⣲⣡⣾⣐⣾⣂⣷⣖⣀⣫⣰⣂⣀⣷⣗⣀⣺⣼⣖⢱⣿⣗⣬⣂⣜⣇⣔⣸⣔⣜⣀⣀⣇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⡿⢿⠿⢿⠿⡿⡿⠿⠿⡿⡿⢿⢿⠿⢿⣿⣿⢿⠿⠿⠿⡿⡿⠿⠿⠿⠿⡿⠿⢿⢿⢿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣶⣶⣶⣾⣤⣷⣶⣶⣾⣶⣶⣶⣤⣿⣿⣿⣾⣶⣷⣾⣷⣶⣶⣶⣷⣶⣶⣦⣷⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣉⢋⣉⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡶⠶⠶⠶⠿⠿⢿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⢸⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣯⣛⣉⣉⣿⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⡅⠀⠀⢨⣭⣭⢨⣭⣭⣭⣭⣽⣿⢸⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠟⣟⠻⠛⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠇⠀⠀⠸⠿⠿⠸⠿⠿⠿⠿⢿⣿⢸⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣶⣾⣶⣿⣿⣿⣿⣏⢹⠭⡉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⢸⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣁⣓⣨⣀⣿⣭⣭⣭⣭⠉⠉⠉⢩⣭⡍⣭⣭⣭⣭⣭⣭⣭⣭⡭⣭⡍⠩⢭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⡅⠀⠀⢨⡭⠭⠨⠭⣭⣭⣭⣽⣿⢸⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠟⣟⠻⠛⣿⠿⠿⠿⠿⠀⠀⠀⠸⠿⠇⠿⠿⠿⠿⠿⠿⠿⠿⠟⠓⠒⠛⠚⠛⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠇⠀⠀⠸⠇⠀⠀⠀⠭⠘⠰⢀⣸⢸⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣶⣾⣶⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⡇⠀⠀⠀⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣤⣳⣤⣤⣿⣭⣭⣭⣭⠀⠀⠀⢨⠉⠁⠉⢩⠭⢭⠭⠭⢭⣭⡅⠀⠀⠀⣭⣭⠭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⡅⠀⠀⢨⡅⠀⠀⠀⣭⣭⣭⣽⣿⢸⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡛⣟⠛⠛⣿⣿⣿⣿⣿⠀⠀⠀⢸⠀⠀⠀⢸⠶⠶⠶⠶⠾⠿⠇⠀⠀⠀⠿⠀⠀⠀⠹⠛⠻⠛⠟⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠇⠀⠀⠸⠇⠀⠀⠀⠿⠿⠿⢿⣿⢸⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⡇⠀⠀⠀⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣳⣤⣤⣿⣿⣿⣿⣿⠀⠀⠀⢸⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡷⠴⠷⠶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢨⡇⠀⠀⠀⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠛⠟⠛⠛⣿⣿⣿⣿⣿⣀⣀⣀⣸⣀⣀⣀⣸⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣿⣀⣀⣀⣸⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣿⣉⣉⣉⣷⣧⣥⣤⣦⣼⣿⣇⣀⣀⣸⣇⣀⣀⣀⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢛⠟⠛⠛⡛⡛⡛⢻⣿⣿⣿⣿⣿⣿⣿⣿⠙⢻⡛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡛⠛⡛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠛⠋⢻⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿
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⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿
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⡇⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠃⠘⣿⣿⣿⣿⣿⡯⠙⠛⠁⡀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⠻⣿⣿⡿⣄⡀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠻⠀⠸⣿⣿⣿⣿⡟⠉⠟⠀⠈⣿⣿⡇⣿
⡇⣿⣿⣿⣿⣿⣟⣿⣿⣤⣀⠀⠀⣼⣿⣿⣿⣟⣦⣀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⣀⣿⣿⣿⣾⣿⣦⣄⣀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣀⠀⠀⠀⢀⣿⣿⣿⠻⣌⠀⠀⠀⢀⣿⣿⡇⣿
⡇⣿⣿⣿⣿⣿⡻⣿⣿⣿⣿⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⢿⣿⣿⣿⠟⣷⠙⡻⢿⣿⣿⣷⣦⡈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠹⠿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣦⠀⢠⣿⣿⠟⠋⢻⣿⣷⡀⠀⣿⣿⣿⡇⣿
⡇⣿⣿⣿⣷⣶⣿⣿⣿⣿⠿⠗⠀⠹⣿⠿⣻⣿⣿⣿⣿⠿⠧⠀⠉⠻⠿⣼⣿⣿⣿⣿⣿⣿⣿⣿⡷⠈⢻⣿⣿⣿⡿⠿⠿⠿⠿⠧⠀⠀⠧⠀⠈⠻⠿⢿⠿⠿⢿⣿⠿⠟⠂⠈⠋⠀⠀⠀⠼⠿⠿⡿⠀⠀⠙⢿⡇⣿
⡇⠉⠀⠀⠀⠀⠉⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿
⡇⣿⣧⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣄⣀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣾⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣼⣷⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⢀⣠⡇⣿
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⡇⣿⣿⢸⣿⣈⣤⣃⣠⣯⣲⣀⣁⣃⣄⣵⣀⣰⣽⣿⠀⣿⣿⣿⣇⣇⣮⣨⣇⣧⣀⣀⣜⣀⣸⣿⣿⡇⣿⣿⣿⣿⣿⣿⣤⣯⣦⣤⣴⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣵⣤⣶⣵⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⡇⣿
⡇⣿⣿⢸⣿⣿⣿⣿⣿⣂⢓⣘⣸⣈⣹⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣗⣘⣇⣎⣠⣁⣹⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣗⡙⣂⣀⣇⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣂⣿⣄⣚⣄⣨⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿
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⣧⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣣⣿

                    ䷩ 𝚕𝚒𝚗𝚎 550

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

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⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Expose Corrupt Insurance Companies, Don't
Kill People⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Dec 09, 2024,
updated Dec 09, 2024


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


Murder gives them sympathy, makes the raiders seem like the victims. The man on
the left isn't a folk_hero.


SOME years ago Daniel Pocock got_scammed_and_saddled_with_fake_insurance. Don't
make fun of him; tens of thousands of other people and businesses (in France/
Switzerland_area) had fallen for the same scam and the number of victims can
sometimes be mistaken for legitimacy of the scam (something along the lines of,
"if it was a scam, how would they exist?" or "if it's not real, why do they
have so many customers?")


Size isn't everything. Sometimes the larger companies have many more lobbyists,
so it's easier for them to get away with crime and/or delay/obstruct efforts to
investigate.


My colleagues and I also got scammed with a fake pension, albeit the_crime_was
committed_by_the_company (our_own_employer_at_the_time), riding_the_reputation
of_'Standard_Life' (a large British company).


Recently, when dealing with a home insurance provider [1, 2], I quickly came to
realise what an awful company it really was. As soon as I cancelled I got more
letters from them (in a few days) than I had gotten from them in 10 years
combined.


Many insurance companies don't "Waste paper" on you until "You cancel" in order
to "Lower expenses" (e.g. "Won't contact client" until "Money is at risk"). So
insurance companies are bad and the people who run them are sometimes unworthy
of any job. Some are appointed as a reward for lacking empathy and repeatedly
demonstrating this lack of empathy.


Killing them isn't a solution; boycotts can work well.


If your insurance provider sucks, quit it. Find an alternative. It takes some
work, sure, but we must make bad providers fail.


Do not kill people. The assailant above managed to defeat the mass surveillance
(proven toothless again), but this will probably result in even more
surveillance, and not only in New York. So we all stand to suffer from what he
did. █




⠀⠀⠀⠀⠀⡇⠀⠀⠿⠿⠿⠿⠟⢛⣉⣉⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣌⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠁⠀⠀⠀⠀⠈⠛⠻⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡀⢀⣀⣀⣤⣤⢴⣶⣶⣶⣆⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⢠⣾⣷⣷⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣀⣀⣀⣀⡀⠀⠀⠀⠀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣴⣖⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⣀⣠⠒⣶⠙⠻⠻⠿⣿⣿⣿⣿⣶⣶⣞⣿⣿⣿⡞⢿⣿⣿⠗⢸⣿⣿⣿⣿⣿⣿⡏⣿⢿⣿⡿⣿⠿⡿⠿⠿⠿⠹⠷⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠉⠉⠀⡁⠀⣠⣶⣾⣧⣿⣿⣿⣿⡿⠁⠈⠿⠿⠷⠍⠻⠛⠁⢰⣶⣶⣦⣶⢠⣶⡶⣶⢠⣦⣶⢶⢶⢠⢶⣶⣶⢤⣦⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠠⠶⠎⠉⠀⠀⠐⠺⠛⠀⠀⠛⠀⠀⠀⠁⠀⠀⠀⠁⠀⠀⠀⠠⠤⠐⠐⠒⠃⠉⠀⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⠿⠿⠿⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⣀⣀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⠤⠤⠀⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⠀⠀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠠⠤⠤⠔⠒⠀⠉⠀⠀⢀⣀⣀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣀⠀⠀⠀⠀⠀⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠚⠛⠛⡟⠁⠀⢠⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⠃⠀⠀⠰⣾⣿⣷⣽⣿⣿⣯⣶⠏⠀⠀⠀⠀⠀⢻⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀
⢰⡶⠾⣃⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠉⠙⠛⢿⣿⡉⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⡏⠠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⡀⠒⠀⠀⠐⢀⡄⠀⠀
⣼⣿⣄⢈⣸⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⢨⣽⣷⣞⡟⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣷⣦⣶⣾⣿
⣿⣿⣿⣿⣹⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠙⣉⢻⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠈⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠃⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢠⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⣀⣀⣤⣤⣶⣶⣾⣿⣿⠃⠀⠀⠸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣾⣿⣿⣽⣿⣿⣿⣿⣿⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠘⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠈⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣝⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 641

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/12/09/Google_is_Nuking_Remaining_Invidious_Instances_Again_Hoping_to_.shtml
    Gemini version at https://techrights.org/n/2024/12/09/Google_is_Nuking_Remaining_Invidious_Instances_Again_Hoping_to_.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Google is Nuking Remaining Invidious
Instances Again, Hoping to Force Everyone to Use Proprietary Spyware With
DRM⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Dec 09, 2024


This issue started a few hours ago


Remaining instances:


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇2024-12-09:_Youtube_killed_a_tool_that_is_essential_to_watch
   videos_on_Invidious_(inv_sig_helper)._Because_of_this_my_server_literally
exploded_because_invidious_tried_to_reconnect_to_that_tool_which_is_not_able_to
 start_at_all_*due_to_youtube_changes*._There_is_nothing_I_can_do_(for_now)._I
 will_try_to_find_a_way_to_fix_it_tho,_but_since_that_tool_is_written_on_Rust,
I'm_100%_clueless_on_how_to_fix_it,_and_for_sure,_the_fix_is_not_an_easy_task.
    So_yeah,_my_Invidious_instance_is_dead_until_a_new_update_comes_out.⦈_


 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇This_Invidious_instance_is_currently_non-functional_due_to
                         problems_caused_by_YouTube⦈_


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


                🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇invidious.jing.rocks_down⦈_


Google deserves a good boycott and people ought to recognise that uploading
anything_to_YouTube_is_a_bad_idea. █




⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡀⡄⡄⠀⠀⢠⢠⠀⢀⠀⠀⠀⡀⠀⠀⡀⡄⠀⠀⡀⢀⠀⠀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠐⠀⠑⠁⠒⠀⠘⠂⠈⠘⠐⠀⠀⠁⠊⠐⠀⠑⠀⠂⠉⠈⠐⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡀⠀⡀⡀⠀⠀⢀⠀⢀⠀⡀⡀⡀⢀⠀⡀⠀⠀⣀⠀⣀⠀⠀⢀⠀⢀⡀⣀⠀⢀⡀⢀⠀⠀⢀⡀⡀⠀⡀⡀⢀⠀⠀⢀⡀⢀⡀⠀⠀⠀⠀⡀⠀⡀⡀⢀⢀⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣁⡁⣀⠀⡁⡀⡁⢁⣀⢁⢀⡈⠁⡀⠁⠈⣁⠁⡀⣀⠉⠀⠉⣁⢀⣀⢀⠀⡀⣈⡁⡈⠁⡀⡈⢁⠉⢁⢁⠁⠁⠀⠁⣈⠀⢈⢀⡉⢀⢈⡀⡁⢀⠀⡀⣀⢁⠀⡀⣈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠉⡁⠁⡈⠁⠁⠁⠀⠀⡈⢀⢀⡀⠁⢀⢁⠀⢀⢀⢀⢁⡀⠀⠉⢈⠉⢈⠁⡀⢉⠁⢉⡈⡀⢁⢀⠀⡀⢈⡀⠀⢀⠀⠈⠀⣈⡀⢁⠈⠀⠉⡁⠈⡀⠁⢉⡁⠀⢀⢉⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠉⠉⢀⠀⠀⠀⢈⠀⢈⠁⠀⠈⠀⠈⠀⢀⠈⠁⠀⠈⠀⠀⠈⠀⠀⠀⠀⠉⣁⠀⠁⡀⠉⠀⠈⠀⠀⢀⡈⠉⠀⠀⢀⡁⠀⠉⠁⠀⠁⢀⠁⠈⠁⢀⠁⢀⠀⠈⠁⠀⢀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡉⠁⠈⠁⠀⠀⠈⢀⠈⠀⠀⠀⠉⠀⠀⠀⠈⠀⠀⠀⠉⠀⠀⠀⠈⠀⠁⠀⠉⠁⠀⠁⠁⠀⠁⠈⠉⠁⠀⠀⠈⠀⠈⠁⠈⠀⠀⠀⠀⠈⠀⠀⠀⠈⠀⠈⠀⠁⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠉⠀⠀⠀⠁⠀⠀⠉⠀⠈⠀⠀⠉⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠉⠁⠈⠉⠀⠀⠁⠀⠀⠈⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠁⠁⠈⠀⠈⠀⠀⠀⠁⠀⠈⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠉⠀⠀⠈⠀⠈⠁⠀⠁⠀⠉⠀⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⡿⡿⡿⣿⢿⡿⡿⢿⢿⡿⠿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣮⣤⣦⣮⣯⣿⣷⣼⣮⣾⣵⣥⣴⣥⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⡛⡛⡛⣿⡛⢻⠋⠛⠙⠋⠙⡛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⠻⢿⠿⡿⢿⢿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣥⣤⣬⣤⣤⣬⣬⣭⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢠⢠⠀⢀⢀⣀⣀⢀⡀⢀⢀⣀⣀⣀⡀⡀⣀⢀⠀⢀⣀⢀⢀⣀⠀⡀⠀⠀⢀⢀⠀⠀⠀⢀⠀⠀⡀⠀⡀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠉⠀⠂⠈⠈⠀⠍⠛⠋⠙⠑⠁⠛⠙⠀⠂⠘⠉⠐⠁⠀⠈⠉⠀⠈⠈⠂⠀⠐⠐⠑⠀⠀⠂⠈⠑⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡟⡟⢿⡿⡟⡟⣟⡻⣿⢟⣻⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣧⣧⣧⣿⣽⣧⣯⣷⣿⣾⣿⣿⣿⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣷⢰⢨⡏⢟⣿⣯⢹⠭⣿⠭⡏⢽⡯⢿⣽⠭⡿⡯⢽⠭⣹⣿⠭⡿⢹⣽⡏⣿⠭⣯⣭⢻⡏⣽⠹⡏⣿⢹⣯⢯⣿⡿⢏⣿⠩⡏⣯⣿⣿⡍⣿⡹⡋⡏⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣯⣭⣾⣻⣓⣷⣿⣮⣱⣸⣇⣝⣇⣿⣿⢥⣟⣼⣃⣿⣊⣿⣸⣣⣟⣸⣗⣺⣿⣻⣷⣳⣿⣻⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣒⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀
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                    ䷩ 𝚕𝚒𝚗𝚎 774

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/12/09/In_Memory_of_Mike_Magee_1950_2024_and_Our_Best_Wishes_to_The_Re.shtml
    Gemini version at https://techrights.org/n/2024/12/09/In_Memory_of_Mike_Magee_1950_2024_and_Our_Best_Wishes_to_The_Re.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ In Memory of Mike Magee (1949-2024) and Our
Best Wishes to The Register, Which He Founded in the
1990s⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Dec 09, 2024,
updated Dec 09, 2024


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Mike_Magee⦈_


Mike Magee founded quite a few important tech sites. The best known one is The
Register. He died this past summer and as far as we can tell The Register
didn't even mention that, only Nick Farrell (his friend) did_this_informal
piece (not an ordinary obituary). We wanted to write about this at the time,
but I do not know Magee in person, I never met the guy, but despite that I have
a lot of respect for him. I've known about him for a very long time. I nearly
sent him E-mail at one point. Now it's too late.


The Register's Editor_in_Chief recently approached me and I brought up the
subject. The reason I respect if not admire Magee a great deal is his approach
to writing. Basically, he said it very unequivocally; he disapproves the way
The Register was run after he had left. He created an alternative (similar to
LXer after Linux Today; same founder), but it went offline completely. That was
a few years ago. They did not explain why. Instead of The Register it was
called The INQUIRER (or "INQ") and its writing style was unique, referring to
Microsoft as "the Vole"... because who needs "professionalism" (suit-and-tie
superficiality) anyway?


Months have passed since Magee died (August 11). I cannot say anything about
him, I can only quote things sites/people say about him. It was actually health
problems that were his Achilles_heel. They say he's lucky to have survived till
the age of 74.


To be clear, I'm not against The Register, but I think it used to be a lot
better until around 20 years ago (actually "biting the hand that feeds IT", not
just saying it). About a decade ago The Register helped expose EPO_corruption
and when the EPO's_management_bullied_me_over_it it was The Register - not_the
BBC - that exposed such an attack on journalism (Kieran covered it). I'm told
Kieran has since then had a career change, but that's too personal to get into.


With or without Kieran, who is still appreciated by EPO staff, the existing
staff at The Register surges forward, boosted by good recruits like Liam.


We fondly follow The Register and if we express_concerns (habitually) it is
because we care. Fellow associates of mine agree that the site, The Register,
did improve a bit in recent years. █




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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⡿⠋⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣽⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣵⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣶⣿⣷⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣡⣾⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣀⠀⠀⠙⠿⠿⣿⡿⠿⠟⢋⣼⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠻⣷⣄⠀⠀⣀⣀⣀⣠⣴⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿
⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣦⣌⣻⣧⣰⣾⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⠿⣛⣯⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿
⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣽⣿⣏⣭⣶⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿
⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡆⠀⣠⣤⣶⣦⣀⡀⢀⣀⡤⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡀⣹⣿⣿⣿⡿⠿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣽⣿
⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 868

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/12/09/IRC_Proceedings_Sunday_December_08_2024.shtml
    Gemini version at https://techrights.org/n/2024/12/09/IRC_Proceedings_Sunday_December_08_2024.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ IRC Proceedings: Sunday, December 08,
2024⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Dec 09, 2024


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


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


                                              #techrights_log                                                                                           #boycottnovell_log


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


                                         #boycottnovell-social_log                                                                                        #techbytes_log


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


                          Enter_the_IRC_channels_now




⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠰⢀⠀⠁⠀⢀⡀⠀⣀⡀⠆⠀⠀⠀⠀⠀⠀⠀⠛⣿⡟⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠁⠀⢀⢠⣠⣶⣾⣿⣤⣼⡅⠀⠀⠂⢁⣄⠀⢀⣿⣿⣏⠋⣠⡀⠄
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣤⣰⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣶⣾⣿⣿⠛⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠛⠁⠀⠠⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣀⣰⣯⠀⢰⣄⡀⠈⠀⠀⠰⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⠻⠖⠿⣯⠉⠐⢤⡀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⡙⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⢟⠀⠝⠛⠁⠐⠊⠳⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠻⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣽⣂⠠⣼⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠿⠿⠟⠻⠿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⠛⠛⠙⠛⠛⠛⠻⠛⠛⠿⠞⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢧⡒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠆⠥⠂⠮⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠐⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⠶⠀⢀⡰⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠈⠠⠁⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡣⠀⠘⠝⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠘⢹⢟⡟⢻⢟⢿⡟⡟⢿⣿⣿⣿⣿⣿⡟⠁⠋⠘⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠀⠘⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠈⠌⠈⠀⠀⠀⠻⠃⠉⠹⣿⠏⣿⣿⠁⡱⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣭⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣆⡄⠀⣠⣽⣿⣵⣧⣿⣿⣶⡤⡆⡘⠀⢈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⢱⠿⠽⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠫⠁⠀⠀⠀⠀⠀⠀⠀⡀⠀⣰⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣾⣾⣷⠿⡿⠿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⡴⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⢉⣐⣀⣠⣤⣤⣤⡤⠤⠆⡄⣜⣣⣷⠿⠹⡿⣿⣿⣿⣿⠟⣿⡹⣿⠛⠏⠚⠋⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠂⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⡜⢳⠀⠀⠀⠀⢀⢰⠿⡟⣥⣀⠥⢦⣿⣿⣟⣛⣻⣿⣿⣯⠽⠎⢉⠁⢤⠒⠫⠙⠇⠀⠀⠉⠀⠀⠐⠛⣿⡿⠟⠙⢁⣀⢀⠠⠤⠖⠀⠁⠡⢄⠂
⠀⠀⠀⠀⠀⠀⠀⢀⢀⠀⠀⠀⠀⠀⡀⠀⠈⠇⠀⠀⠀⠀⠀⠀⠈⠀⠉⠀⠀⠀⠀⠀⠘⠜⠃⠙⠘⠀⠈⠋⠛⠙⠻⠙⢋⠉⡅⠀⠀⠀⠀⠈⠁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡴⢖⣣⣤⣀⣀⡔⠀⠀⠈⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠐⠀⠠⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⣈⠿⠩⠏⠁⠀⠀⡄⢀⡀⠀⠐
⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⡀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠀⢀⠀⠀⠀⠀⠀⠀⠁⠀⠀
⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⢀⠈⠈⠈⣀⡀⣠⡘⠛⠛⠁⠀⠂⠀⠀⠀⠠⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠛⠛⠿⣿⠃⠋⠁⠀⠀⠀⠀⠄⠀⠠⠆⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 1094

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

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⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ [Meme] Jeff Bezos Working From
Home⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Dec 09, 2024


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇B****_please,_publish_articles_in_Washington_Post_about_how
                           working_from_home_sucks⦈_


Context: 'Remote'_(From_Home)_Tech_Workers_Are_More_Productive_for_a_Lot_of
Reasons


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Over_200,000_subscribers_flee_'Washington_Post'_after_Bezos
                          blocks_Harris_endorsement⦈_


  🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Disgrace_Jeff_Bezos_praises_Donald_Trump’s_‘grace_under
                  literal_fire’_after_assassination_attempt⦈_




⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠉⡍⡟⠉⡏⢹⠍⢻⠋⢽⣯⢩⢹⢹⣏⢩⣽⠉⣿⢩⣹⢩⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⠀⠆⣿⣿⣿⣿⣿⣿⣿⣿⡿⢰⣾⠸⢿⠰⡏⣀⢻⠳⢹⠰⠾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⢼⠏⠃⠘⣿⡿⠛⣿⡯⣝⠀⣮⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠉⢻⠟⣟⠟⠻⠟⠿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣀⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⣷⡶⣶⣶⢦⣵⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣶⣦⡀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⡥⣯⣤⣬⣿⣿⣿⣬⣤⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⢀⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠉⠛⠿⢿⣿⣿⣿⣉⣉⣡⣉⣉⠩⣇⣉⣉⣉⣧⣽⣿⣏⣹⣽⣯⣃⣫⣿⣿⡄⠀⣤⣀⠀⠙⣿⣿⣿⣿⣿⣿⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⣀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣀⣈⠉⠙⠛⠛⠻⠿⠿⠿⠿⠿⠿⠿⠛⠛⠛⠋⠉⠙⠿⣿⣿⣿⣿⣷⡀⠸⣿⣷⡀⠘⢿⣿⣿⣿⣽⠙⠀⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣤⣤⣤⣶⣶⣶⣶⣾⣿⣿⣷⣤⡀⠙⠻⢿⣿⣷⡀⠹⣿⣿⣷⢌⢻⣿⣿⣭⣥⣶⣿⠃⠀⠄⡈⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠉⠛⢧⠀⢹⣿⣿⣿⣿⠟⢱⣿⣿⣿⣿⣮⡓⢴⣌⢦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠻⠿⠿⠿⡄⠘⣛⠛⠛⠃⠻⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠓⠀⠈⢀⣠⣾⣷⣇⣳⠯⠿⠂⠀⠘⢿⣿⣿⣿⣿⠛⢿⣿⣽⠿⠏⠏⠁
⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⡙⠳⢶⠶⠆⠀⠀⣠⣿⣿⣿⣷⣧⣿⢟⣅⠀⠀⠀⠀
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⡿⡉⠛⠋⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⡿⢿⣿⣷⡾⣫⣥⣗⣻⠿⠛⠻⠿⠋⣴⣿⣿⣷⣄⠀⠀
⢸⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠍⠙⠙⠋⠀⠀⠀⢀⡤⣤⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣵⣶⣿⣷⣯⣥⣬⡉⠙⠛⠁⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣷⡀
⠘⣿⣿⣿⠟⣛⣋⣭⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⢻⣿⣿⡷⠄⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⣿⣿⣿⡽⠋⠛⠁⠐⠐⠈⠛⠛⠋⠛⠛⠟⠙⢿⣿⢿⠿⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⡄⠀⢸⣿⣿⣿⣇⠀⠀⣼⠏⠛⠉⠉⠻⢿⡟⣫⣿⠟⠋⠀⠀⣸⣿⣿⡟⠃⠢⡀⠀⠁⠺⠿⣿⣿⣿⣿⣿⣿⣿
⠀⢸⣿⠟⠓⠛⣛⣉⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣶⡿⠻⠛⠋⠉⠀⠀⠀⠻⣿⣿⣿⣷⣼⠃⠀⠀⠀⠀⠀⠈⠱⠛⠁⠀⠀⠀⢀⣿⡿⠋⠀⠀⠀⢁⠠⠀⠀⠀⠀⠛⡻⣿⣿⣿⣿
⠀⠘⣿⣋⠉⠀⢀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠟⠁⠀⠀⠀⠀⠈⠄⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿
⣤⣶⣟⠛⠈⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿
⣿⣿⣿⣷⠖⠋⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠀⠀⠉⠀⠀⠀⠀⠀⠀⠘⠟⣂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿
⣿⣿⣿⣥⣤⡖⠒⠀⠀⠀⠀⠀⠀⠀⠀⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠧⠌⡀⢁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠳⠌⡘⢀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠀⡀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣾⣿⣷⣄⡺⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣄⣠⣤⣤⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢄⣠⡀⡀⠰⣦⠀⠀⠀⣸⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⡀⠀⠀⠰⡸⣿⣆⠀⠀⠘⣿⡿⠿⠓⠙⠀⠀⠀⢿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠈⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣬⣻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⣤⣀⣀⣀⣀⣀⣀⠀⠀⠀⣀⣀⣀⣀⣄⡘⢿⣽⣿⣿⣿⣿
⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⠀⡖⢲⠀⠀⠀⡖⢢⠀⠀⠀⡖⠂⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⣿⡿⡿⣿⣿⣿⣿⢻⡟⡿⣿⣿⣻⡿⡿⡿⢿⠿⢿⣿⣿⡿⢿⣿⢿
⣿⣿⠀⠃⠘⠀⠀⠀⠗⠊⠀⠀⠀⠃⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠀⠀⠀⠰⠴⠠⠀⠀⠀⠀⠀⠂⠀⠀⠄⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡏⠈⠩⠟⠉⠉⠉⠁⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢻⣿⣟⠟⠿⢿⡿⢻⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣛⡿⡿⢿⡟⠿⠿⠿⠿⢿⡿⠿⢿⢿⢿⠿⡟⣻⢿⢿⢿⣿⡿⣿⠿⠿⠿⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣶⣿⣿⣶⣶⣾⣶⣿⣿⣶⣿⣷⣿⣷⣷⣿⣷⣷⣾⣿⣿⣾⣾⣾⣾⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣷⣀⣀⣀⣀⣀⣀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣛⠿⢿⢿⢿⠿⢿⢟⢻⢛⢿⢛⢿⡿⡛⡟⡛⡿⡛⣿⡿⡿⡿⡟⢿⡿⢿⠿⡿⠟⡟⠿⡿⢿⠿⡿⢿⡿⠛⣿⠿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣽⣼⣤⣧⣶⣼⣿⣅⣺⣼⣼⣼⣼⣣⣧⣧⣧⣧⣧⣿⣶⣥⣧⣇⣧⣷⣥⣭⣧⣧⣇⣧⣧⣶⣼⣷⣽⣧⣧⣥⣦⣧⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡟⠟⡟⠿⢿⠿⡟⠿⢿⠿⢿⠿⠿⢻⠿⢿⠿⣿⡟⡛⠿⢿⠿⡟⢟⣿⠿⢿⢻⠟⡿⠿⠿⣿⠻⢛⠿⢿⠿⡿⢿⠿⣿⠻⢿⢻⠿⢿⠿⡟⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣼⣼⣤⣼⣤⣧⣧⣼⣼⣼⣈⣼⣬⣬⣼⣼⣼⣧⣾⣮⣼⣤⣧⣽⣿⣤⣼⣼⣧⣧⣼⣼⣿⣬⣵⣤⣼⣬⣮⣼⣤⣿⣬⣵⣬⣬⣴⣭⣧⣮⣥⣾⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠿⢹⡛⡟⣻⢛⢹⠛⣿⠟⢻⢛⠿⡛⡿⡻⡟⡻⢻⠟⢿⢛⠟⡿⠻⢛⢻⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣼⣶⣦⣿⣾⣾⣶⣿⣶⣾⣼⣴⣶⣷⣷⣷⣷⣷⣾⣾⣿⣷⣷⣿⣾⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡵⢸⣿⢿⣿⣿⢻⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣖⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⣿⡿⠟⢉⣉⣻⣿⣧⣔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠉⠍⣯⡄⠀⠉⣉⣭⣿⣿⡛⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠖⠒⠀⠹⣿⣷⣶⣾⣿⣿⣿⣿⣼⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠃⠀⠀⢹⣿⣯⣉⠛⠿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠒⠀⠀⠀⠉⣵⣿⡧⠔⢼⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⣡⣾⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶
⣉⣹⣿⣿⢿⠻⢻⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⡆⡆⡇⢸⢰⡇⣿⠈⢸⢐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢿⢻⠛⣿⡇⢠⣤⣤⣤⣤⣤⣤⡄⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣷⣾⣾⣷⣾⣾⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶
⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣾⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡿⢿⣿⣿⡿⢿⢿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡇⡟⢹⣽⢸⡇⣿⡇⣿⠸⢻⣯⡿⣹⢫⡏⣏⡫⣿⠉⡏⡏⣽⢝⡏⡏⣏⡛⡏⣯⣏⡛⣿⡇⣿⢸⢹⡏⡏⡏⡿⢻⢹⢸⢹⡇⣿⣾⢸⣿⢩⣿⢹⢹⢩⡏⡏⣯⢹⢹⡮⡛⣿⣷⡏⢇⡏⣽⢝⢹⠋⣯⡋⣯⣿⣿⣿
⣿⣵⣿⣶⣿⣾⣷⣿⣷⣾⣾⣷⣾⣶⣿⣷⣿⣷⣷⣿⣀⣷⣷⣿⣶⣶⣷⣷⣷⣷⣶⣷⣷⣿⣷⣷⣿⣷⣾⣷⣷⣾⣶⣾⣾⣷⣶⣿⣿⣶⣿⣶⣿⣶⣾⣶⣷⣷⣟⣸⣾⣷⣷⣿⣿⣲⣆⣷⣿⣾⣶⣷⣾⣷⣾⣿⣿⣿
⣿⡿⡿⣿⢻⢻⠟⡏⡿⡛⣿⢛⣿⠉⡏⡟⣻⢟⢿⢿⡻⡛⢿⢹⣿⢻⡟⡿⣟⢟⡻⣽⣿⣟⢻⢋⡟⣻⢟⢿⢿⣻⡿⡛⡿⣛⡿⣛⡿⡛⡿⣛⡿⣛⡯⣿⢻⢻⢟⠻⡟⣿⢹⢟⠻⠿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣇⣧⣿⣼⣼⣌⣧⣧⣛⣿⣼⣿⣤⣧⣧⣻⣜⣿⣼⣯⣺⣸⣼⣿⣼⣧⣧⣿⣜⣻⣿⣿⣸⣸⣼⣧⣻⣜⣿⣼⣿⣇⣃⣏⣂⣟⣢⣇⣃⣯⣂⣏⣂⣧⣿⣼⣼⣕⣇⣇⣻⣼⣜⣡⣧⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡗⡇⣷⢸⢰⡏⣧⡇⣶⢰⢸⠀⡆⡇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣾⣷⣿⣾⣿⣿⣿⣿⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣼⣿⣭⣧⣼⣼⣦⣿⣴⣿⣧⣽⣿⣧⣼⣧⣿⣿⣿⣿⠿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣷⣿⣾⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣟⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠏⠃⠀⠀⠀⠀⠀⠀⡰⢺⠀⠀⠀⣠⣿⡟⠁⠜⣆⢻⣿⣿⣿⣿
⠭⠭⡭⠭⡭⠭⣭⠍⠉⠉⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢨⠀⠀⠀⠀⠀⠀⠀⢈⡴⣡⠄⣠⠀⢻⠏⠀⠀⠐⠈⠚⣿⣿⣿⣿
⣶⣶⣤⣶⣶⣆⣤⣴⣶⣶⣶⣶⣶⣶⣶⣶⣤⣤⣤⣤⣥⣤⣥⣭⣤⣭⣥⣌⣩⣭⣽⣭⣿⣿⣭⣋⡋⠉⠁⠀⠀⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠀⠀⠀⠀⠀⠀⠠⢋⠞⣡⢊⡜⡀⠀⠀⠁⠀⠀⠀⠀⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢀⣀⣈⣩⣭⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣰⣶⣶⠐⣡⠞⡡⢂⠞⡁⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⡇⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣺⣿⣿⣄⣁⡚⠑⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢽⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿
⣿⣿⣿⣿⣿⣟⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣿⣛⣿⣿⡻⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠚⠹⠛⠉⠀⠀⠈⡀⠀⠀⠄⢄⠀⠀⠀⠀⢸⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠠⡄⠀⠀⠀⠀⠀⠀⠾⡗⠀⠃⠀⠈⠀⡀⠀⠀⠀⠀⢸⣿⣿⣿
⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⢠⠄⠀⠀⠀⠀⠀⢸⣿⣿⣿
⠀⠀⠀⠀⠀⢠⣴⣶⣶⣶⣦⣄⢀⣀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠘⠀⣀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⣀⠀⢺⣿⣿⣿
⠀⠀⠀⠀⠀⠉⠉⠉⠛⣛⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⣿⣿⣿⡿⠛⠋⠉⠉⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⡿⠀⠀⠀⠀⠀⠀⠁⠀⠆⢀⡀⣰⣾⣿⣟⡓⠦⠴⠀⠈⠀⢸⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⡆⠀⠀⠀⠀⠀⢸⣇⣿⣿⡇⠀⠸⡆⣿⣿⡟⠀⠀⠀⠀⣠⡀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣟⡋⠀⢀⡀⠀⠀⠀⢸⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣟⢠⡆⡇⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠙⠀⢈⠋⢀⠀⠀⢸⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠰⠤⢤⠂⢹⣢⡼⠃⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠸⡇⡇⣹⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⡷⢶⣴⡾⠋⠈⠀⠀⠀⠘⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠄⠈⢡⠃⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⢀⣗⠁⣿⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠂⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠙⠀⠀⠐⠂⠀⠀⠀⣿⣿⣿
⠀⠀⠀⠀⠀⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠠⣿⡇⣿⣿⡷⢃⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⣿⣿⣿
⠀⠀⠀⠀⠀⠀⢻⣦⡀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⣿⣿⠟⣿⢠⠿⠃⠉⠀⠀⠸⣷⣄⠀⠀⠀⠀⠀⠀⠺⠿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠚⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⢀⣼⡆⠀⠀⠀⢿⣿⣿
⠀⠀⠀⠀⠀⠀⠈⢿⠟⠀⠈⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠀⠉⠀⠀⠀⠀⠀⠀⠀⠿⠟⠓⠀⠐⠺⡀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⡿⠆⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⠂⠀⠐⠻⢿⡇⠀⠀⠀⠀⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠠⠀⠠⢲⡆⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⡄⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠈⣿⡉⠙⠛⠛⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣷⡄⠀⣴⣿⣿⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠈⠇⠀⠘⠁⣀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡇⠀⠙⣷⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⣲⣶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠁⠀⢹⣿⣿⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠘⠷⠾⠄⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠈⣿⣿⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣶⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣿⣿⡇⠀⠀⠠⠄⠂⠀

                    ䷩ 𝚕𝚒𝚗𝚎 1232

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

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⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ [Meme] Sloppy Plagiarism Full of Errors,
Lacking Actual Comprehension⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Dec 09, 2024


LLMs_are_not_"AI"; they're just another_form_of_ripoffs that results in
misinformation


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Your_bot_can_spew_out_a_million_words_per_minute?_Well,_stop
 that,_LLMs_aren't_new_and_they_drown_out_the_signal_with_sloppy_plagiarism⦈_


Microsoft ran out of things to show, so it pays the media to make phony hype
and conflate quantity with something qualitative, a la EPO. Then a bunch of
fools play along with and swallow the dead-end hype. They just make_themselves
look_bad.




⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⠀⣤⢀⡤⣄⠀⡄⠀⡄⣤⠤⡄⠀⠀⡤⢤⡀⢠⠤⣄⠤⣤⠤⠀⢀⡭⢭⠻⢫⡍⠋⣍⠋⡍⣿⢏⡭⣍⢩⡭⢭⠩⡭⠭⣭⠋⡍⢫⠝⡿⢫⠭⣍⢫⡝⢫⡍⢭⡭⢽⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣦⠇⢸⠀⢸⠀⡇⠀⡇⣿⢤⠟⠀⠀⡧⢴⡃⣿⠀⣿⠀⣿⠀⠀⢸⡇⡜⠃⣼⢳⠀⡟⡆⡇⣿⡜⢧⡈⢸⡧⠼⠁⡧⡄⢸⢸⢳⢸⢸⡇⣿⠀⢸⢸⡇⢸⡇⢸⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⣀⣸⠀⣇⣠⠇⣿⠈⣇⠀⠀⣇⣀⡇⢿⣀⡿⠀⣿⠀⠀⠸⣇⣸⢃⡟⢺⡄⡇⠹⡇⢻⠱⣆⣹⢸⡇⣾⢸⣇⣚⠘⡞⠸⡏⣼⣇⢻⣀⡼⠸⣇⣸⠇⢸⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⡀⠀⠀⠀⡀⠀⢀⠀⡀⢀⠀⠀⡀⠀⢀⠀⢶⣶⢶⣿⣷⣦⣤⣦⣤⣄⡀⢀⠀⢀⡀⠀⣀⡀⠀⢀⣀⠀⠀⢀⠀⠀⠀⣀⣐⠲⣒⣛⢗⣀⡰⢷⣶⢗⢶⡿⡻⢷⡦⡶⠷⡦⢴⢾⢗⢒⣛⣛⢛⣛⡿⢟⡻⢿⣿
⠀⠀⢰⢿⠀⠀⢀⣧⠀⣿⠀⡇⢸⠀⠀⡇⠀⢸⠀⡏⡉⡇⢸⡆⢿⢹⣧⣧⢸⡇⣸⢰⡏⢹⡆⣿⢉⡇⢸⠉⣷⢸⡉⠙⠀⠀⡏⢉⡇⣿⠉⢸⡏⣹⠘⡏⢸⡇⢸⡇⢸⡇⣿⡀⡇⢸⠀⢸⠈⣽⠉⢸⠉⢅⠏⢹⡆⡿
⠀⠀⣼⠼⡆⠀⢸⡟⣼⢸⠀⡇⢸⠀⠀⡇⠀⢸⠀⡇⠁⡇⢸⠸⣾⢸⣿⢸⡞⢰⡇⢸⡇⢸⡇⣿⢹⡄⢸⠀⣿⢀⠉⢷⠀⠀⡏⠉⠀⣿⠉⢸⡏⣧⢾⣿⢸⢱⡎⣇⢸⡇⡇⢳⡇⢸⠀⢸⠀⣿⠀⢸⠉⣼⠱⠋⠀⠀
⠀⠀⠃⠀⠓⠀⠘⠃⠋⠘⠀⠃⠘⠒⠂⠓⠒⠘⠀⠙⠚⢁⣘⣴⣽⣼⣿⠘⠃⠘⣃⢌⢓⣻⣦⣿⣮⣧⣿⣲⣯⣮⣗⣯⣴⣆⣛⠀⠀⠛⠒⠘⠃⠘⣺⣿⣿⣼⣧⣿⣼⣧⣷⣮⣣⣌⣓⣫⣦⣛⣤⣚⠒⠂⠘⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣦⣴⠏⠀⠀⠈⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠁⠀⠀⣤⡄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣯⢭⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢾⣿⡏⠀⠀⣄⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠘⣿⡧⢏⣹⣿⣿⣿⣿⣿⠟⣹⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣧⠀⠀⠙⠛⠃⠀⠀⠀⣠⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠉⠙⠛⠻⠿⣋⣴⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣷⣀⠀⠀⢀⡄⠀⣼⠋⠈⠉⠸⣷⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⣼⣿⣇⣀⠀⣠⣴⣾⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⡿⣟⡓⣾⣿⣿⠝⠁⠀⠀⠀⠀⠹⣀⢀⠐⠀⠀⠀⠀⠀⣀⣾⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣂⣀⡀⠀⠤⠶⣛⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡟⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣻⣤⣀⣀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣴⣶⣧⣥⣭⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣟⣇⣀⣀⣠⣦⣬⣴⣶⣤⣤⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⢹⢉⡏⢱⠀⠀⠀⡄⡄⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠂⣄⡀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⣀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⠿⢸⡼⢡⡇⣸⠹⢸⡇⡇⠀⠀⢰⡲⢸⡗⡴⢢⢠⠤⡄⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⣿⡗⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠆⠀⠀⠀⠀⠀⠈⠛⠋⠉⠀⠀⠀⠀⠃⠘⠁⠹⠜⠸⠀⠇⡄⠀⠲⠽⠸⡄⢇⡼⢸⣀⠇⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠘⠉⢡⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣆⢰⠀⠀⠀⠀⢠⠀⠀⠀⣤⠀⢠⠀⢠⡀⢀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⢸⢹⠐⡫⡇⣿⠁⠀⠀⡏⠀⣼⠀⢸⠇⡸⡇⡔⠄⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠛⡘⠘⠒⠃⠻⢰⠀⠀⠧⠤⠿⠤⠸⢰⢃⡇⣌⡆⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠂⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢻⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣈⢀⣀⠈⡐⠙⠂⠀⡆⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⢿⣿⠏⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠈⠻⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⢼⢸⠉⣸⠼⢸⡏⡇⠈⡏⠀⢠⡗⡆⣴⣲⢰⢰⢠⠂⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠚⠁⢤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⢿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠙⠘⠀⠘⠚⠘⠁⠃⠀⠧⠈⠸⠇⠇⠧⠴⠸⠇⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⠛⣿⠋⣀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠘⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡎⠀⣀⠉⡁⡉⠂⢰⡆⠀⢠⠀⡄⠐⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡿⠀⠁⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠃⢈⠴⡇⡇⣿⢸⢹⠁⠀⣿⢡⡏⡇⣼⣳⢰⢰⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡿⠁⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠠⠟⠁⠀⠠⠃⠀⢀⠀⠀⠀⠀⢸⠄⡐⠈⠋⡃⣃⣃⠘⠚⢀⡂⠻⠸⠇⠇⠣⠔⠈⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⡟⠻⠁⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠠⠃⠀⠀⡠⣼⢨⣩⢉⣉⢀⢈⠙⡙⡛⡛⢭⠿⠛⠿⠷⠆⢠⠀⠌⢀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣧⡔⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⡇⣸⢸⠀⡿⢸⢸⡜⣷⢡⡇⡇⡀⢸⢹⢸⡇⡇⢹⠁⡀⢺⠂⡗⡦⣰⢲⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⡀⠁⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠉⠀⠈⠙⠿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣷⣭⣭⣬⣴⡌⠩⣌⣧⣏⡘⣃⢃⣿⣜⣚⡘⠗⠇⠸⠄⠀⠻⠄⠇⠇⢿⡸⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⠄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⣀⣀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠈⠻⣿⢟⣭⠁⡃⣈⣓⢛⣛⠛⣓⡊⣶⢹⡿⠿⠯⠃⠄⢠⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣮⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⢈⢳⢠⡇⡧⠟⢸⢸⢁⡥⡇⣿⢸⢸⣸⣇⠃⡇⢹⠁⡗⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⡟⡫⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⡃⠀⠀⠀⠈⣩⣬⡱⠯⠕⣘⣼⣌⣃⡃⣋⣾⣄⣃⡛⠀⠇⠸⠤⠇⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡿⠓⠑⠈⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡶⢤⣀⠀⠀⠀⠀⠀⢠⡶⠄⡇⡤⢤⢠⢤⡈⡭⣝⣟⢻⢻⢟⣛⡋⢰⠘⣛⠿⠛⠛⠤⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀
⠉⠀⠀⠀⠀⠀⠀⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠯⠧⠙⠻⣶⣆⠀⠀⠠⣙⢄⡇⣇⡿⢸⢸⠇⡇⡿⢸⡞⣸⢸⡇⡇⣿⢈⢼⠰⣏⡏⡿⢘⣹⢠⡟⢸⠠⡖⠄⡖⡆⢲⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠻⠍⠁⠀⠀⠈⠀⠈⠻⠤⠀⠀⠀⠀⠀⠀⠀⠺⠉⠰⠏⠁⠞⠁⠿⢸⠙⠁⠃⠙⠚⢨⣒⡆⠃⠸⠺⠸⠇⠸⠰⠬⠲⠇⡇⢸⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 1302

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/12/09/Meme_Write_Code_Not_Social_Control_Media.shtml
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⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ [Meme] Write Code, Not Social Control
Media⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Dec 09, 2024,
updated Dec 09, 2024


  🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Sometimes_I_impress_myself_and_stroke_my_ego_with_10_git
                      commits,_one_line_changed_in_each⦈_


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


   🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Check_out_my_github_page_and_don't_forget_to_'like'⦈_


Look what this mindset has_led_to.




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

                    ䷩ 𝚕𝚒𝚗𝚎 1405

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/12/09/Microsoft_s_Grip_on_Armenia_is_Slipping_According_to_New_Data_F.shtml
    Gemini version at https://techrights.org/n/2024/12/09/Microsoft_s_Grip_on_Armenia_is_Slipping_According_to_New_Data_F.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Microsoft's Grip on Armenia is Slipping,
According to New Data From statCounter⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Dec 09, 2024


Months ago: In_Armenia,_Bing_is_Measured_at_0.6%,_About_Ten_Times_Less_Than
Yandex


Today:


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


Notice what happened to Windows - an all-time low.


This helps explain it:


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




⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⡿⣿⡿⣿⣿⣿⣿⢻⣿⣿⣿⢿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠿⠿⡁⠶⢸⠐⢸⢰⠗⠂⡶⡆⡇⣦⡇⠂⣾⡧⠍⣎⢣⠄⢲⠰⡑⠊⣷⡆⣶⣿⡇⡜⢱⡟⠒⡇⣶⢈⢺⠐⢰⠰⣿⠮⠝⣷⡆⡗⠂⡇⣎⠒⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣧⣭⣿⣿⣿⣭⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡿⣑⡹⢰⡆⣶⣶⢸⢐⣸⢰⣾⢸⢒⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣷⣿⣷⣾⣷⣿⣿⣾⣶⣾⣾⣿⣾⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣒⢋⣹⢩⢹⡷⣢⢱⢞⢶⢁⡂⣿⣻⣿⣶⢸⢉⡏⣽⣷⢆⡷⡎⠖⡸⠡⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣷⣾⣶⣿⣷⣶⣷⣾⣶⣷⣾⣿⣿⣿⣶⣿⣶⣿⣾⣷⣶⣷⣾⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣗⣀⣀⣠⣌⡏⠭⠭⢭⣭⣭⢭⣭⠭⠭⠭⠭⢭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⡍⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣶⣤⣄⠉⣠⣤⣤⣴⣶⣶⣦⣤⣤⣀⣉⠙⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⡀⠉⢿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢀⣿⡇⢸⡏⢠⠈⠋⠉⢿⠛⠛⢻⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣧⣤⣴⣬⡇⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣥⣬⣭⡅⢨⡅⢨⣥⣬⣄⡀⢠⡄⠀⠈⠁⠈⡭⣭⣭⣭⣭⣭⣭⣭⣭⡭⠉⠭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⡅⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠛⢇⠀⠁⢸⣿⣿⣿⣷⣾⣷⣶⣷⣶⠀⡀⠈⢿⡿⠛⠁⠈⠏⠀⠁⢰⠀⢿⡿⢿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⡿⢿⡇⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠙⣄⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣧⠀⠈⠁⣠⣴⣦⣠⣦⣀⣼⡄⠘⠃⠀⣿⣿⣿⣿⣿⣿⠁⠈⠟⠿⠀⠘⡇⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣶⣄⠀⠀⠀⣾⡟⢙⠉⡛⠉⡏⢙⢋⡹⢋⠛⠛⠛⠂⠙⠉⡛⠋⠛⢉⣿⣿⣿⣆⠀⠀⠉⠙⠙⠁⠀⠘⠀⣦⠀⠀⢰⡀⠀⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠈⠛⠋⠀⠀⣤⣿⣧⣤⣦⣤⣤⣤⣤⣤⣴⣤⣴⣤⣤⣤⣤⣦⣴⣬⣤⣼⣿⣿⣿⣿⠀⣦⣤⣠⣀⣴⣤⠀⠀⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣧⣤⣤⣬⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣆⣼⣿⣿⣿⣿⣿⡀⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢩⣭⢭⣭⢭⣭⣭⣭⣭⢭⢭⡭⡭⢭⢭⣭⠭⣭⣭⡭⡭⡭⡭⣭⣭⣥⣭⠉⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠸⠤⠦⠤⠤⠤⠤⠼⠿⠤⠬⠯⠦⠶⠼⠿⠬⠤⠤⠯⠬⠤⠥⠿⠿⠿⠿⠀⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡆⣶⣶⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣧⣤⣤⣤⡇⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡆⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠟⠛⠉⠀⠹⠛⠃⢹⣿⣿⠿⢿⡿⠀⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣧⣤⣤⣤⡇⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⠶⠒⠲⣶⢶⡶⠶⡶⠲⣶⠦⠀⠀⠀⣤⣴⣶⣤⣀⡄⠀⢀⠀⡀⠐⠀⡀⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢿⣿⣿⣿⡿⢿⣿⣿⣿⣿⠉⠋⠂⢠⡀⠁⠀⠁⣀⠀⠀⠸⠀⣸⣇⣠⣿⣿⣿⣿⣿⠿⠀⠠⣼⣿⣤⡼⠇⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢻⣿⡇⠀⡀⢸⡿⠿⠟⠁⠈⠟⠁⠀⡀⠀⠀⢰⣿⣷⣶⣷⣾⣿⣿⣧⣤⣴⣿⠛⠿⠿⠛⠛⠛⠋⠀⠀⠀⠘⠉⠹⠁⠀⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠿⠃⢸⡇⠈⠀⠀⠀⠐⠀⠀⠘⠋⠀⠈⠀⠀⠀⠀⠈⠙⠋⠙⠟⠉⠛⠁⢀⠀⠠⠤⣴⣴⣶⢶⣾⠷⣶⠶⣾⣶⣶⠇⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⡇⠛⠛⠋⠉⠙⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠁⠀⠀⠀⠀⠘⠓⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠐⠒⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠉⠀⠀⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣧⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠲⣤⣤⣤⣶⣦⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡖⠒⢶⣶⣦⣶⣴⣦⣴⣦⣶⣴⣶⣶⣴⣦⣶⣤⣶⣴⣶⣶⣴⣦⣴⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠈⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠃⢥⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠂⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡲⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡁⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠎⣹⢀⠁⠉⠩⠈⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⡱⢎⡹⠈⠉⠩⢩⠉⠈⢸⣿⣿⣿⣿⣿⣿⣿⣏⡱⢌⡇⡱⠠⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⡻⢿⢛⠟⣻⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⡻⢿⢻⠻⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⠻⡟⡟⠿⠿⠿⡿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣥⣾⣬⣤⣼⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣵⣾⣬⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣮⣵⣷⣥⣼⣴⣼⣬⣤⣴⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⣉⣹⠰⠉⠈⠉⢩⡇⠁⠩⠉⠉⠉⠅⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾
⣿⣿⣿⢿⠿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⢿⣿⣿⣿⣿⡿⡟⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⢻⣿⡟⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⢸⡿⣸⢒⣺⣔⢺⢈⢶⢶⢱⡆⡇⣶⢹⣧⠛⣦⡒⣿⡇⡜⢳⢸⢴⠎⡷⡦⡇⡇⡇⣂⣿⣏⢏⣦⡒⣿⣿⣿⢒⢺⠰⡆⡇⡗⣒⡇⣾⣷⠛⡤⡒⣿⣇⢿⣿⢱⡎⣧⣶⣧⡒⡏⣶⢹⢈⢒⣸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⢶⣾⡿⣷⣾⣶⣿⢾⣾⣶⣷⣾⣧⣶⠿⡿⣿⣷⣶⣿⣷⣿⣿⣾⣷⡾⣷⣾⣷⣷⣿⣶⣿⣿⣾⣷⡾⣿⣿⣿⣶⣿⣶⣾⣷⣿⣶⣿⣾⣿⣿⣷⣶⣿⣿⣷⣾⣷⣾⣿⣿⣷⣶⣿⣶⣿⣾⣶⣾⣿⣿⣿⣿⣿⣿
⣿⣿⣿⢠⠿⡀⡯⣍⡏⣭⠘⢽⢉⣹⢨⣿⣧⣛⡇⣭⢹⢭⢹⢩⡍⣉⣻⡿⣑⢻⢩⡍⣭⢩⣽⢉⣉⣯⣭⡏⡯⣍⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣾⣶⣷⣷⣶⣷⣿⣾⣾⣶⣾⣶⣿⣷⣶⣷⣿⣾⣶⣾⣾⣷⣶⣾⣷⣿⣷⣾⣷⣿⣾⣿⣶⣶⣿⣿⣷⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⠩⠝⠛⣟⡛⣿⣭⢹⣭⠉⣭⡯⠍⣿⣿⣿⢩⡝⠛⢻⣛⣿⣭⢽⢩⢹⡭⡿⡋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣼⣷⣭⣯⣵⣿⣤⣽⣭⣶⣥⣯⣵⣿⣿⣿⣬⣽⣮⣽⣭⣿⣥⣽⣮⣾⣬⣵⣦⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⢻⡛⠛⡛⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⢠⣤⣀⡉⠋⣁⣀⣤⣤⣴⣶⣦⣠⣤⠀⠙⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡄⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⠛⠻⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣶⠀⢿⡏⢀⠈⠿⠻⢿⡿⠋⠉⣿⣿⡿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⠀⢸⡇⢸⣆⢠⡆⠈⠀⣰⠀⠀⠙⠀⠸⠀⢻⣿⣿⣿⡿⢿⣿⣿⡿⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿
⣿⣿⣿⣿⠙⠉⠉⢻⢘⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣂⣚⣛⡂⢘⠃⢘⣛⣛⣛⣃⣀⣛⣛⣐⣀⡀⠀⡀⠘⣛⠋⠀⠁⠈⠛⠀⠁⢀⡂⢘⣛⠛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⢸⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠉⠉⠛⠇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣼⡇⠀⠙⠀⣶⣶⣆⣀⣶⡀⣸⡇⠘⡿⠀⢸⣿⣿⣿⣿⣿⣿⠋⢹⣿⣿⡿⠿⣿⢸⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠁⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣠⣾⣿⣿⣿⣿⣿⣿⣿⣧⡄⠀⠀⠘⡿⣿⣿⡟⠻⣿⠀⠀⠛⢻⠀⠀⢿⢸⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣴⣶⡄⠀⠀⠀⣾⡟⠙⠁⣻⠋⢛⢘⡟⣉⠟⡉⠛⢻⢻⢛⠙⠁⡛⠋⠛⢉⣿⣿⣿⣿⡄⢠⣀⡀⠈⠉⠀⠀⠈⠀⣶⣦⠀⢀⣄⠈⢸⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠙⠛⠁⠀⢀⣤⣿⣧⣴⣦⣴⣤⣼⣤⣶⣤⣧⣤⣶⣤⣼⣼⣤⣦⣴⣬⣤⣼⣿⣿⣿⣿⣇⣸⣿⣧⣤⣠⣿⣤⠀⢰⣿⣿⣷⣿⣿⡀⢸⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⢴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣼⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿
⣿⣿⣿⣟⣉⣉⣉⣻⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿
⣿⣿⣿⣟⣘⣀⣀⣹⢨⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⢸⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⡏⢸⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⡿⢿⠿⣿⣿⠁⢸⣿⣿⣿⣿⣿⠁⢸⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠸⠛⠃⠀⠀⠉⠀⠀⠀⡿⠿⠀⠙⠏⠀⢸⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣤⣾⣶⣆⣠⣾⠀⠀⣀⣴⠀⠀⣴⢸⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠃⠀⠛⣿⣿⡿⠿⣿⠛⢻⡇⠀⣄⠀⢸⣿⣿⣿⣿⣿⣿⡀⢰⣿⣿⣦⣴⣿⢸⣿⣿⣿
⣿⣿⣿⣿⣴⣤⣤⣽⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠻⡇⠀⣴⡀⠀⠀⠁⣀⠀⠀⠸⡇⢸⣿⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⢻⣿⡇⢀⠀⢸⣿⣿⣿⡟⠙⣿⠿⠙⠛⠃⠀⠀⢰⣿⣷⣴⣦⣴⣿⣶⣦⣀⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⠀⢸⡆⢸⡏⠙⠇⢀⡀⠘⠀⣠⣴⣀⣸⣀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠸⣿⠀⣸⣇⠘⠀⣦⣴⣾⣿⣦⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠠⠀⢀⡀⠰⡿⢿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿
⣿⣿⣿⣿⣿⠿⠿⣿⠘⠛⠋⢁⣀⠙⠋⠛⠛⠻⠿⠟⠛⠛⠋⠉⠉⠉⢀⣀⣠⣤⣴⣿⣷⣦⣤⣤⣤⣤⣈⣉⢁⣉⣀⡈⡈⠉⠉⠉⠛⠛⠛⠛⠛⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢸⣿⣿⣿
⣿⣿⣿⣿⣿⣤⣤⣼⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡤⢤⣤⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡶⠶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⣴⣶⣾⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡭⣣⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡥⣢⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⢲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⢢⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⡛⢿⢛⠻⠿⠟⠟⠿⠿⠿⣿⣿⠿⣛⢿⡟⡟⠿⠟⠟⠻⢿⣿⣿⠿⣛⠿⡟⡻⠟⠟⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣵⣿⣬⣤⣭⣤⣦⣤⣄⣵⣿⣿⣷⣤⣾⣧⣤⣬⣤⣤⣤⣽⣿⣿⣷⣤⣾⣧⣦⣤⣤⣬⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 1534

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/12/09/Microsoft_s_Windows_is_Pretty_Much_Dead_in_Haiti.shtml
    Gemini version at https://techrights.org/n/2024/12/09/Microsoft_s_Windows_is_Pretty_Much_Dead_in_Haiti.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Microsoft's Windows is Pretty Much Dead in
Haiti⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Dec 09, 2024


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


Android has eaten Microsoft's lunch [1, 2], Microsoft can't even eat_crow


A month ago we said that Microsoft's market share had fallen_to_2%_in_Haiti and
this month it's down again, down_some_more. Narrowing the data down to only
include desktops/laptops, Windows_is_down_to_18%_-_another_all-time_low. From
what we can gather, based on statCounter at least, almost_90%_of_Web_requests
there_come_from_mobile. That does not leave much for Windows, does it? █




⠀⠀⠀⠀⠀⠀⢀⣿⣍⣂⣴⣶⠀⢠⣦⣶⣯⣙⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠉⠙⠁⠀⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠈⡽⣿⣿⣿⣧⣘⣿⠛⠲⢬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣷⠠⠶⠂⠈⠀⠀⡘⠛⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⢤⣿⣿⣿⣾⣿⣿⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣽⣿⠿⠉⣷⠆⡀⠀⣀⠈⠅⠀⠈⠹⢿⣿⣭⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣂⣺⣿⠉⠀⠀⠁⠀⠀⠀⠀⠀⠸⠿⣻⣿⠟⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠿⠉⠑⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠘⠈⠋⢽⡆⠀⠀⠀⠀⡀⠀⠀⠀⠀⠈⠿⡵⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⡄⠙⢳⡄⠰⠟⣠⣙⣿⡽⠿⣡⠄⠀⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠆⣀⡀⠈⠰⣦⣶⣧⠀⠀⠠⠠⠰⢶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠷⠴⠌⠉⠁⠐⠛⠛⠶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣯⡷⣶⣾⣿⣷⣶⣎⠀⢐⣿⣴⡾⠟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⢠⣄⣀⡄⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣭⣾⠿⣿⣯⣿⡘⠊⣘⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⢀⡀⠥⠏⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡋⣤⣯⣥⣽⣿⣷⣼⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⢠⡄⠂⢀⣀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⠿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⣀⣤⠀⢰⠿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣀⣿⣿⣽⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⣍⡄⣤⣿⡿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠈⠹⣿⣿⣷⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⣻⡿⣿⡯⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⢸⡶⠈⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⣀⠀⠀⠈⠀⠀⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠈⠀⠀⠀⠐⠀⠀⢀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⣰⠄⠘⣣⣴⠶⣿⣿⣾⣷⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⢴⣾⣇⡼⠛⢻⣷⠿⠛⣿⡷⠻⠅⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠂⠀⢀⠀⣤⣤⣀⣘⠖⠀⣾⣧⣶⣷⣆⡀⢀⣊⠹⣿⣦⡀⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣷⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⡂⠀⡮⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣬⣷⡿⠋⡀⣴⡿⠃⠰⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣾⣷⣿⣤⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⢠⠆⠁⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⢹⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣸⣿⣿⣿⣿⠿⠟⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣦⣼⣿⣶⣶⣆⠀⠀⠀⠀⠀⠀⢳⡄⢿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 1591

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/12/09/Microsoft_Target_the_Young_Get_Em_While_They_re_Young.shtml
    Gemini version at https://techrights.org/n/2024/12/09/Microsoft_Target_the_Young_Get_Em_While_They_re_Young.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Microsoft: Target the Young (Get 'Em While
They're Young)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Dec 09, 2024


August 2024: "Where_Are_We_on_This_Jihad?"_-_Bill_Gates_Talking_Internally
About_Microsoft's_Work_to_Undermine_Linux_Support_at_Intel


“They’ll get sort of addicted, and then we’ll somehow figure out how to collect
sometime in the next decade.”


                                                                    -Bill Gates


               🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Get_'Em_While_They're_Young⦈_


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


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇we'll_somehow_figure_out_how_to_collect_sometime_in_the_next
                                   decade.⦈_


Then they say Free software advocates are "extremists" and "rude"...


June 2019: Bill_Gates_Said_He_Was_on_a_“Jihad”_Against_GNU/Linux,_But_GNU/Linux
Users/Developers_Engaged_in_Self-Defense_Are_Foul-Mouthed_'Microsoft_Haters'?




⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢢⡄⣠⢠⡄⣯⢠⡄⡄⠀⢀⣠⡄⠄⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡻⣿⣿⡟⣿⣻⡇⢿⢹⣿⡏⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡿⢿⣷⣿⣯⣧⣿⣼⢿⡧⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⠿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠟⣩⣏⣿⠿⠿⡿⠹⣿⡇⣭⠉⡭⣹⠿⠿⠿⠿⣿⣯⠉⣭⠉⣭⣩⠁⠿⢿⠧⢽⠁⣿⠿⠿⣿⣏⡍⢩⣹⠁⠿⢿⡿⠿⢿⠿⡿⢯⢸⠿⠿⡿⠿⢿⣿⡍⢹⢭⡿⡿⣿⠿⡿⢿⠿⠿⢿⡿⠿⠿⣿⣿⣿⣿
⣿⣿⣿⣿⣄⠻⠏⣇⠨⠷⡇⠸⣿⣿⣿⠀⠦⢻⠀⡇⢸⠆⣿⣿⣇⢠⣇⢡⣿⠀⡿⠸⡇⢸⠀⣇⠸⠶⣿⣿⠇⠸⣿⠀⡇⢸⡀⠷⢾⡆⢣⣿⣿⠀⣷⡀⠿⢾⣿⡿⠀⢿⡀⡇⣸⠀⠇⢸⠇⢿⠀⡇⠭⠼⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣛⣤⣿⣿⣿⣿
⣿⡇⠈⠻⡟⠻⣿⣿⣿⣦⠉⡃⠀⠀⠀⠀⠀⢀⣈⣠⣭⣿⣿⢯⠘⢿⣿⢳⠌⠀⠀⠀⠀⠀⠘⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢿⡀⢻⣛⠟⣛⣛⠏⠀⠀⠈⠙⣿⣿⣿⡏⢸⠀⠀
⠈⣑⠆⠰⠘⢶⠌⠟⠙⠛⠃⠸⡀⠀⢠⡰⡸⠟⠩⣿⣿⣿⣷⣌⣵⣴⣾⣧⣡⣀⠀⠀⠀⠀⠀⢀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠘⣧⠀⢷⣈⣩⠿⠣⠄⠀⠒⣠⣿⣿⣿⠃⢸⠀⠀
⠑⣾⣿⣷⣦⡈⢂⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠼⠛⠛⠛⡛⣻⡟⠋⠙⢻⣿⣿⣿⣶⣤⡀⠀⠀⠀⠒⠻⠛⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢻⡆⠈⣧⠀⠀⠀⠒⢓⣮⠻⣿⣿⣿⠀⠈⠀⠀
⠆⠘⣿⣿⣿⣿⢀⠲⣿⣶⡄⡠⡞⠀⠈⠁⠀⠀⠀⠀⢸⣿⣿⣿⣦⡀⠀⠒⢉⣉⣿⣿⢿⣿⣷⣦⡀⠀⠀⠀⠈⣹⣻⡝⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⠿⠇⠀⠀⠘⣷⠀⠘⣦⠀⠀⠀⠀⠉⢛⣿⣿⣿⠀⢠⠀⠀
⠘⡀⢻⣿⣿⣿⠿⠷⢬⣙⣻⠯⠿⠿⣿⣶⣄⠀⠀⠀⢿⣿⣿⣿⣿⣷⠀⠀⠈⢿⣿⣿⣦⣭⣙⣿⣿⣷⡲⢤⣤⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⣀⣀⣀⣿⣦⣄⣘⣆⡀⠀⠀⠀⠀⣿⣿⡏⠀⡌⠀⠀
⠀⢁⠈⢿⣿⣿⠶⠋⠑⠂⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠨⣿⣾⣟⣷⣿⠀⡄⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⡟⢻⣧⡀⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢟⠦⣠⣤⣴⣿⣿⡟⠀⣇⡔⠀
⠀⠈⠀⠈⠉⠁⠠⠀⠀⢠⣀⡠⠀⠀⠐⠀⠀⠀⠀⠀⠀⠙⣚⠛⠷⠿⠀⠁⠀⠀⠀⠻⠙⣿⣿⣿⣿⠹⣏⡿⡟⠘⢁⡛⠿⣿⣾⣿⣿⣿⣿⣿⣿⠏⠀⠀⠘⠿⠿⠿⠿⠿⠿⠟⠛⠓⠀⠀⣿⠉⠁⣿⣿⡇⢀⡇⠀⠀
⠀⠀⠀⠀⠀⢄⠂⠆⠀⠈⠁⠁⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⢱⣷⣦⣠⢠⠀⠀⠀⡄⠀⠈⢷⡁⣿⡏⡕⠙⣿⡀⠀⢱⣟⠀⣿⣿⣿⣿⣿⣻⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⡆⠀⣿⣿⡇⢸⡆⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⢀⠀⠀⠂⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠽⠿⠿⠧⠱⠀⠀⢠⠀⠀⠘⠷⢾⣇⠁⢀⡍⣷⣤⣼⣿⣤⣿⣿⣿⣿⣿⣷⣽⣿⣷⣶⣀⣀⣀⣀⣤⣄⣤⣤⣴⣶⣿⣿⣿⣿⡇⠀⢸⣿⣤⢸⡇⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣀⣬⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⢹⢉⠀⠀⠸⡾⣿⣿⣝⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣄⣸⣿⣏⣼⡗⠀⠀
⠀⠀⠀⠀⠀⠀⠘⠼⠛⠃⣀⣀⣤⣤⣶⣶⣶⡺⣿⡿⣷⣦⡀⠀⢀⣀⣤⡀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠘⢜⡊⠻⢎⡗⢘⠚⣷⣿⣿⣿⣿⣿⣍⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠃⠀⠀⠹⣽⣿⣿⡇⠀⠀
⠀⠀⠀⠀⠰⣄⣤⣤⢪⣿⣟⣿⢥⣞⢿⣷⣿⣿⣿⣿⡟⣏⣄⠈⠉⠙⡅⠀⢤⣤⡴⠀⢀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⣴⣿⣴⣿⣿⣿⣿⡟⠉⠁⠀⠈⠛⠿⠿⠿⠿⠿⠿⠟⠛⠉⠁⠀⠀⠀⠀⠐⢾⢿⣿⣿⠿⣦⣴
⠀⠀⠀⠀⠀⣽⠉⢛⣷⣽⣛⣯⣾⣿⢷⣷⣿⣿⣿⣿⣷⠙⠁⠀⠀⢼⣧⡀⠀⠻⢧⣐⡔⠀⠀⠈⠧⠀⠀⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⢀⡠⠤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠛⠁⠀⠉⣿
⠀⠀⠀⠀⣠⣷⣶⠼⢻⣿⣿⡿⢿⣿⣿⣟⣻⣿⣿⣿⡇⠀⠀⠀⠐⠊⠛⠛⣷⣦⡀⣿⣿⣿⣻⣶⣦⣀⣀⣸⣿⣿⣿⣿⣿⣿⣿⠛⠻⠿⠛⠀⠀⠀⠈⠀⠀⠀⠉⠀⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿
⣶⣶⣄⢰⡌⠁⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠛⠻⣿⣿⣯⣏⠛⣓⡄⠀⢙⢿⣿⣟⣛⡿⣟⣿⡟⣉⣁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠐⠚
⣿⣿⣿⣀⡁⠀⠀⠀⠀⠈⠁⠙⠿⠿⠿⠟⠿⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣷⣽⣤⣤⣕⢀⣹⣿⢿⣊⣷⣿⣿⣿⣽⣿⣿⣷⢀⡂⠀⠀⠀⠀⠀⠀⠀⢀⣅⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀⠛⠿⠏⠉⠛
⠻⣿⣿⣿⣿⡄⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⣬⣿⣿⣿⣻⣟⡻⠟⠉⣚⠿⣉⣻⣿⠝⣿⡿⣯⣽⡋⠠⠭⡀⠀⣴⣿⠿⠿⢷⣿⣿⣶⣾⣿⣿⣿⣿⣟⠃⠀⠀⠀⠀⠀⠀⠀⠙⠻
⠀⠈⠛⠟⣿⣷⣄⢀⣉⣡⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣉⣿⣿⣿⡿⠟⠁⠀⠀⠀⠉⠹⢿⡏⢢⢸⣿⣿⣿⣅⣤⠀⠀⢸⡿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀
⠀⢰⠆⠀⠀⠉⢻⣿⣿⣿⡋⠤⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠚⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⣿⣿⣷⣤⣿⠿⠰⣶⣿⣿⣿⣿⣿⡿⣿⠿⠟⠋⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣈
⠀⠀⠀⠀⠀⠀⠀⠁⠀⠙⢿⣿⣿⡴⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠤⠀⠙⢿⠀⠀⠀⠀⠀⠀⣀⣠⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣮⠙⠿⠛⠉⠁⢀⣀⣠⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣷⣶
⢀⡤⣀⣠⣀⣤⡤⠠⡄⠀⠀⠉⢹⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⢀⡀⠈⠀⠀⠀⠀⠀⡀⣙⢟⣛⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⢀⡀⠐⠃⠀⠺⢿⣿⣿⢿⣿⣷⣤⣀⠀⢀⣀⣀⡐⠲⠿⡛⠛⠿⣿
⠈⣾⣿⣿⢿⣤⣤⣤⠴⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡆⠀⢀⣠⡴⡶⠿⡶⣿⣿⣿⣿⠎⠂⠀⣴⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢣⡄⠀⠀⠀⡀⠀⢲⣶⡿⢿⣦⣽⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠘⠷⠀⠈
⣼⠏⠿⠿⠁⠤⠀⠀⠀⠀⠀⠄⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⠑⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢬⣭⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠀⠘⠷⠸⠿⠂⠁⠀⠰⡶⠶⢾⣫⣽⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀
⣍⣲⣶⡀⠀⠰⠤⡄⠠⣄⣀⡤⡤⠀⠙⣻⣿⣿⣿⣿⣿⣿⣿⣿⡏⢿⣶⡄⠀⠀⠀⠀⣀⣠⣴⣶⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣤⣤⡄⠀⠀⠀⠀⢤⡾⢟⣩⣽⢿⡋⢉⣉⣠⣤⣴⣶⣶⣶⣶⣶⣾⣿
⣿⣿⣿⣿⣿⣶⣶⣤⣤⣼⣏⠀⠀⠀⠈⠉⠀⠈⠿⢟⣉⣬⣥⣾⣶⣾⣿⣷⣾⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⡀⢀⣤⣤⣬⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣯⣿⣿⣷⣦⣾⣦⣤⣶⣶⣶⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣆⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣉⠉⢉⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⡙⣿⣿⣿⣿⣿⠿⢿⡟⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⣿⣿⡿⢻⡛⡟⣿⢹⠿⡏⡟⠏⡏⣿⡟⡭⢭⢫⠭⡝⣯⠛⣯⣽⠼⢻⡿⡟⣿⢿⡻⡟⣿⢻⣿⣿⣿⣿⢿⡿⣿⢻⣿⡟⣿⢥⢠⡿⢿⣿⡿⢿⢻⠋⣦⢯⡤⠀⢠⠀⡄⣤⢤⡠⡄⣤⢰⠀⠠⡤⢤⡤⣄⠀⠀⠀⠀⠀
⣮⣿⣷⡎⣿⢹⡇⢸⣺⡇⡇⠀⡇⠉⠡⡙⢦⢻⠀⡇⡟⣼⣿⣹⢒⢸⠒⡇⣿⣿⣇⣷⢻⡿⣿⣿⣿⣹⢸⡿⣿⢸⠟⡇⣿⣾⢸⣗⣼⣿⣿⢸⢸⠀⣿⢸⡇⠀⢸⠒⡇⣿⢸⡇⣧⢿⡞⠀⠀⡇⢸⡇⣿⠀⠀⠀⠀⠀
⣿⡿⣿⣿⠿⣾⠃⢘⠺⣷⠓⣦⠓⠂⠠⠓⢚⡘⠒⣧⣧⢿⠛⢚⣚⢸⡶⣧⠽⢾⣽⠛⢾⣿⣿⣿⣿⣿⣾⣷⣿⣼⣒⠧⠛⢘⠚⠓⠿⣿⣷⡟⠘⠒⠃⠘⠃⠀⠘⠀⠃⠙⠚⠁⠙⠀⠃⠀⠀⠃⠈⠓⠋⠀⠀⠀⠀⠀
⣷⡏⠷⣼⠉⡇⣿⠀⡇⡄⣏⡁⡏⠹⠉⡏⣽⡷⣏⠇⡞⢹⣎⣯⢻⡇⣿⣽⢹⢩⣿⢸⡎⣿⢸⣯⣿⣿⡇⣷⢸⢸⣯⣿⠉⡇⢸⢸⣏⢿⣿⣧⣿⢸⠉⠹⣼⠉⣿⠁⠀⡏⢹⢸⡏⢱⡏⠧⢸⣇⢸⡏⣷⣿⠉⠀⠀⠀
⡿⣇⣶⢻⣀⡇⣿⡀⣇⡁⣏⡁⣇⣰⠀⡇⣿⠢⣌⡧⣇⣸⢿⡿⡎⡇⣿⣹⢸⣸⣿⢸⢳⢻⢸⣿⣿⣿⡇⡇⢿⢸⣿⣿⣾⡏⢹⢸⣏⣺⣿⡏⣿⢸⣉⢰⢻⡀⣿⠀⠀⣇⣸⢸⣏⣸⣇⡶⡾⢾⣸⣇⡿⣿⣁⣀⠀⢸
⠀⣰⣾⣷⡄⠀⣶⣶⠀⠀⠄⠀⠀⠀⠀⠀⠀⠑⠂⠀⠀⠀⠀⠐⠯⠓⠢⣄⢸⣿⣿⣷⣤⣦⠆⢸⣿⣿⣷⣷⣿⣿⣿⣿⣿⣿⣿⣾⣶⣿⣷⣶⣲⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣼⣿⣿⣿⡧⠀⠘⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⡿⠁⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣠⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⣿⣧⣄⠀⣿⠀⠀⠀⠈⠀⠀⠀⠀⠀⠴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠸⠁⠀⠀⠀⠉⠀⠉⢙⡙⠛⠛⠛⠀⠏⠉⠉⠉⠛⠛⠿⡿⠀⠀⠀⠀⠀⠀⢠⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⠘⣿⣿⣿⣿⣷⠊⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⠄⠀⠀⠀⠀⠀⠀⢀⠠⠊⠀⠀⢀⣄⠀⢠⣾⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⠀⠀⠀⠀⠀⢠⣿⣿⣯⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣼
⠀⠈⠻⠿⠿⢫⠀⢿⣷⣠⣶⣶⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣁⣿⡟⠀⠀⠀⠀⠀⠘⣿⣿⣿⣷⣿⣿⣷⣶⣶⣶⣤⣄⣀⣄⠀⣀⢠⡾⠟
⠀⠀⠀⠀⠀⠒⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣟⣿⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⠿⠋⣿⣿⡿⠀⠀⠀⣠⣴⣶⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⠟⠻⣿⣿⣿⣷⡖⠘⡇⠀
⠀⠀⡀⠀⡀⠀⠀⠈⣿⢻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⢹⡞⠿⢿⣻⡿⠛⠉⠩⢬⣽⣗⠈⠀⣿⢻⣿⣿⡇⠀
⢀⣀⣀⠈⠉⠀⠀⠀⢰⣏⣼⣫⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡀⠀⠀⣠⣾⣿⣿⣿⡍⢋⣼⣿⣿⣿⣟⣹⣍⠀⠀⠀⢀⡴⠞⣡⣞⠀⢶⣖⣲⡒⠚⠙⠿⠄⡇⠀⢨⣿⡅⠀⠀⠚⢩⣬⣟⠂⠀⣿⢀⣑⠛⠁⠀
⠉⠉⠉⠀⠀⠀⠀⠀⢸⣿⣿⡽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣄⣾⣿⣿⣿⣿⣿⣧⣾⣿⣿⣿⣿⠀⠀⠈⠁⠀⠉⠁⠀⢠⠏⠈⠀⠘⡄⠀⢹⣆⣴⠦⢈⣇⠀⠀⢻⣷⣖⠀⠀⠀⣘⣿⡄⠀⣿⣿⣿⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣛⣋⣭⣽⠷⠖⠀⠀⠀⠀⢀⣀⡵⠂⠀⢤⡀⠱⡀⠀⢻⠓⣂⢸⣹⠀⠀⠘⣿⣿⡆⠀⠀⠲⣿⣷⠀⣿⣿⡿⠀⠀⠀
⣀⣀⣀⣀⡀⣀⡀⠀⣘⢻⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢸⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⠁⢡⣄⣀⠀⢛⣃⡀⠉⢉⠀⠀⠀⢰⣶⣶⢳⡀⠨⠂⠹⠁⠛⠃⠀⠀⢹⣿⣿⠈⠐⠤⠈⣿⠀⣿⣿⠃⠀⠀⠀
⣿⣿⣿⣿⣽⣿⣷⡄⡚⣼⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⣿⣿⠯⠤⠀⠀⠀⠀⢀⣀⡀⠈⠻⠍⠙⠛⠋⠁⠀⠀⠀⠈⠉⠉⠀⠡⢰⠄⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣶⣿⣿⣾⣿⣿⣾⣶⣶⣶
⣿⣿⢹⣇⣽⣿⣿⠃⢠⣤⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠒⠉⣀⠘⢿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⡤⠤⢤⠤⡤⠤⢤⠤⣤⣤⠀⠀⠒⠓⠧⠀⠁⠀⠀⠀⣻⣻⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿
⠟⠁⢠⣿⣿⣿⣿⠁⣘⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠘⠀⡂⠙⠀⠀⠀⠀⠀⣀⣀⣀⢀⣀⣴⣯⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠖⠛⣣⣧⣤⣤⠤⠤⠠⠶⠖⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿
⠀⠀⢠⣿⣿⣿⠏⢰⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠛⠚⠒⠀⠁⠂⠘⠉⠣⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣷⡄⠀⠀⠦⡀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠇⠀⠠⣬⣍⣼⡀⣿⣿⣿⣿⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡿⡿⡏⠛⠏⠁⠀⣄⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 1699

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/12/09/More_LLM_Spam_Slop_About_LLM_Spam_Slop.shtml
    Gemini version at https://techrights.org/n/2024/12/09/More_LLM_Spam_Slop_About_LLM_Spam_Slop.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ More LLM Spam/Slop About LLM Spam/
Slop⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Dec 09, 2024


Today's latest (5 hours ago):


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


OK, whatever "you" say...


  🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Reddit_is_diving_deeper_into_AI_with_the_introduction_of
   Reddit_Answers,_an_AI-powered_tool_designed_to_provide_curated_insights,
          recommendations,_and_discussions_on_virtually_any_topic.⦈_


This is what the Web will become unless we expose those who contribute to the
problem, collectively compelling them to stop or make amends to dodge further
embarrassment. █


Also see: BetaNews_Has_Become_a_SPAM/Slop_Factory,_Brian_Fagioli_Publishes_Fake
'Articles' | It's_Morbid_to_Talk_About_Living_People_as_If_They're_Dead |
BetaNews,_Inc._Became_a_Spam_Operation/Web_Site,_LLM_Spew_(Slop)_for_SEO
Disguised_as_"Articles" | BetaNews_is_Beta-Testing_the_Site_as_LLM_Slop_With
Microsoft_Propaganda_Thrown_In | Even_the_Managing_Editor_of_BetaNews_is_Doing
Slop_and_Spam | At_BetaNews,_"Most_Commented_Story"_Is_Not_a_Story_But_LLM
Slop!_(Readers_Talking_to_Bots) | BetaNews_is_Run_and_Written_by_Bots_That_Make
Clickbait | BetaNews,_Desperate_for_Clicks,_is_Pushing_Donald_Trump_Spam
Created_by_LLMs_(Slop)




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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠸⣀⠌⢇⡠⢱⡰⣂⢌⡟⢸⠗⣟⡿⢸⡞⢻⠏⢬⣳⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢠⠀⠀⠀⠄⡀⣀⠀⡀⠀⠤⡀⢀⠀⡀⡀⠀⠠⡀⠀⠀⢀⢀⡀⠀⡀⢀⢠⠀⠀⠀⠠⡀⡀⠀⢀⠀⠀⠀⠀⣀⣀⠀⣀⠀⠀⠀⠀⡀⠀⠀⠀⠠⢤⠀⠀⠀⠀⠀⠠⠀⢠⡄⠀⠠⠀
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢀⣿⣿⣷⡀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠅⠈⠉⢛⠉⠁⠀⢻⣿⣿⣿⣿⣿⢻⣿⣻⠿⡯⡿⡿⣿⢿⢿⣿⡿⣿⣿⡿⡿⣿⢿⢿⣯⡿⡿⡿⡽⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡂⢴⢷⡘⠐⠶⠀⢾⣿⣿⣿⣿⡿⠶⢞⡟⣿⢻⡹⡇⡏⣿⢹⣿⣧⣿⣿⡹⡇⣇⢿⣸⣸⡸⣇⣇⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡏⢽⠅⡫⠉⡯⡿⣝⣿⣽⢹⣫⢿⢽⣯⡏⣿⣹⢭⡯⣻⣿⢹⡯⢹⢽⡏⣿⢻⢿⣿⢹⢝⣿⢽⢩⡇⣽⢉⣿⢹⢽⡫⣿⠍⡯⡟⣽⣿⢽⢨⣿⡫⣯⣽⣟⡫⡏⣿⡫⣿⣽⢽⡫
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⡩⠍⠀⣿⣿⣾⠾⣿⡿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣟⣿⣿⣿⣿⣿⣟⢿⣿⢿⠿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣾⣾⣿⣷⣾⣿⣾⣾⣷⣶⣷⣼⣿⣶⣿⣿⣴⣿⣷⣾⣷⣿⣿⣾⣾⣷⣿⣿⣿⣿⣶⣿⣽⣷⣿⣶⣿⣷⣾⣿⣶⣿⣷⣾⣿⣽⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣼⣯⣿⣯⣿⣭⣿⣽⣿⣿⣿⣵⣭⣿⣼⣯⣽⣯⣧⣿⣯⣿⣿⣿⣿⣽⣯⣯⣿⣬⣿⣾⣽⣿⣯⣿⣿⣿⣽⣿⣿⣿⣷⣿⣵⣿⣭⣿⣯⣿⣯⣿⣿⣭⣽⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡏⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢹⣿⣿⣿⣿⣿⣿⡇⠀⠀⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⣿⣿⣿⡇⠀⠀⠟⢋⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⢉
⣿⡗⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⣖⡲⠲⡶⠶⠶⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸
⣿⡗⠶⢶⠶⠶⡶⠶⠶⠶⡖⢶⠶⡶⠶⠒⠶⢶⠶⠶⠶⡶⢶⠶⠖⠶⡖⡶⠶⠶⠶⡶⠶⡶⠶⠿⢿⠿⣿⠿⢿⣿⣿⣿⡇⠀⠀⠀⣿⣿⡿⠛⠉⣀⣀⡈⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸
⣿⡿⠟⢿⠻⠷⡿⠿⠛⠿⠿⡺⡿⠿⠿⠛⡷⢞⠿⠿⠿⠿⡿⠛⠿⠿⠿⠿⠿⠿⠿⡟⡿⠿⠟⠿⠻⠿⣿⣷⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⠁⢠⣾⣿⣿⣿⣦⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⠀⢻⣿⣧⣤⣿⣿⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣆⠀⠙⠿⠿⠟⠁⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣶⣤⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⠉⠙⠛⡛⠙⠙⠉⢛⠛⠛⠉⠋⠛⢙⠙⠙⠙⠋⠛⠛⠛⣿⣿⣿⢸
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠛⠛⠛⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣀⣀⣀⣀⣀⣀⣀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⠛⠛⠛⣟⠛⠛⠛⠛⢛⠛⡟⠛⠛⠛⠛⢻⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣤⣵⣭⣯⡭⣭⠭⢭⡼⣬⢽⡬⣥⢬⣭⣤⢭⣧⣬⢭⣭⣭⣥⣭⣿⡿⠿⡘
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⠶⣶⣶⣶⣶⣾⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣷⣶⣶⣶⣶⣶⣴⣶⣶⣶⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠛⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠗⢂⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⢉⠙⠙⠛⠙⠉⠙⡋⠛⠛⠋⠛⠙⠛⠛⣏⢉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣤⣤⣤⡤⠤⣤⢤⣴⣤⣤⣤⣤⣤⣤⣧⣤⣤⣤⣤⣤⣤⣦⣤⣤⣤⣤⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣾⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⡿⠛⠉⣀⣀⡈⠙⠻⣿⣿⣿⠟⠛⢻⠛⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⠁⢠⣾⣿⣿⣿⣦⠀⢹⣿⣿⣶⣶⣾⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⠀⢻⣿⣿⣿⣿⣿⠃⢸⣿⣿⣤⣦⣼⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣆⠀⠙⠿⠿⠟⠁⢀⣾⣿⣿⡍⢉⠉⠉⡏⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣶⣤⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣷⠤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 1804

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/12/09/No_Wonder_Microsoft_s_LinkedIn_and_Github_Have_So_Many_Layoffs_.shtml
    Gemini version at https://techrights.org/n/2024/12/09/No_Wonder_Microsoft_s_LinkedIn_and_Github_Have_So_Many_Layoffs_.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ No Wonder Microsoft's LinkedIn and Github
Have So Many Layoffs, Permanent Office
Closures⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Dec 09, 2024


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


Traffic down, losses, probably never_going_to_profit


LinkedIn and Github (or "GitHub", we'll proceed with "Github" for consistency's
sake) are social control media "platforms", albeit mostly Web sites (or
"webapps") designed to make people "addicted"; like Twitter (now "X"), they
have a profound profitability problem. They hoped to turn things around, but as
traffic falls that long-elusive potential slips away and in recent years both
LinkedIn and Github had offices shut down permanently (and also mass layoffs,
obviously). Their expansion hopes basically died. The media barely reported on
it because Microsoft habitually compels those affected to sign NDAs for no
reason other than censorship or prevention of negative press. Some
whistleblowers talked to the media about these NDAs.


1-2 days ago statistics associated with traffic in LinkedIn and Github looked
like this, having just been released for the prior month:


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


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


This may not seem very significant, but that's a drop for one month only, based
on a very large dataset or sample traffic. This sort of traffic erosion went on
for quite some time and in spite of the world having more people and more
Internet traffic, those sites are being left behind.


From what we have heard, Microsoft already restricts more and more non-Web
traffic in github.com, so one might expect increases in the metrics... but no.


The latest wave of LinkedIn layoffs (several hundreds laid off) was just days
before_Thanksgiving. Expect more of the same.


People who regularly use LinkedIn probably noticed fake_(but_personalised)
messages_and_fake_notifications trying to upgrade users to "pro" or "premium"
or whatever they call it. That started not so long ago and it shows that
LinkedIn may be struggling for its very survival. As far as we know, Github is
just making losses all the time and was never profitable since its inception.
Microsoft overpaid for it - for negative purposes of course (sabotage and
control over one's opposition). █




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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⠛⢟⠟⠻⠿⡛⠻⡻⡿⠿⡻⠿⡻⣟⠛⡻⠟⡛⠻⡻⡟⠛⣿⠛⢟⠿⠻⠻⠛⠟⠿⢟⠟⠿⡻⢻⡟⢻⠿⠟⢛⠿⠿⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣶⣾⣶⣶⣶⣶⣶⣷⣶⣶⣶⣶⣷⣿⣶⣷⣶⣷⣶⣶⣷⣶⣿⣶⣾⣦⣴⣦⣮⣶⣶⣾⣶⣶⣷⣾⣷⣾⣷⣶⣾⣼⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣤⣤⣥⣦⣤⣥⣮⣤⣬⣤⣤⣬⣤⣤⣤⣵⣷⣥⣼⣤⣬⣴⣬⣤⣬⣦⣤⣹⣴⣤⣴⣼⣬⣦⣬⣮⣤⣬⣼⣤⣥⣬⣴⣤⣤⣥⣤⣼⣤⣤⣭⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣤⣤⣦⣤⣥⣧⣴⣁⣌⣠⣤⣤⣤⣼⣤⣤⣤⣧⣤⣦⣤⣤⣴⣤⣤⣤⣤⣼⣤⣶⣦⣼⣮⣤⣼⣬⣤⣥⣤⣤⣥⣷⣥⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⠁⠀⠀⢀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⡀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⠀⠀⠁⠀⠉⠈⠉⠐⠀⠀⠈⠉⠈⠉⠀⠉⠁⠈⠉⠉⠁⠈⠈⠀⠁⠁⠁⠘⠈⠉⠁⠁⠁⠈⠀⠁⠁⠈⠁⠀⠁⠀⠀⠈⠉⠀⠈⠁⠉⠀⠈⠂⠀⠈⠈⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡧⡤⠤⢧⣦⣤⣼⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⢤⢤⢴⢤⣤⣤⣤⣄⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠤⠴⡤⠼⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡧⢦⠤⠤⣧⣤⣦⣦⣤⣯
⣿⣿⣿⣿⣧⣥⣦⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣭⣵⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣵⣥⣤⣥⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣬⣴⣼⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⢿⢿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⡿⠿⢿⣿⣿⡿⢿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⢿⣿⣿⣿⡿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡇⠢⣰⣰⣰⣀⣇⣐⣊⣃⣆⣰⣨⣰⣰⣹⣇⣇⣖⣄⣆⣰⣈⣒⣻⣡⣉⣿⣨⣅⣆⠁⢴⣀⡁⠠⣠⣀⣆⣆⣠⣀⣀⣀⣾⣇⣈⣰⣘⣀⣁⡈⣄⣘⣀⣔⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣷⣶⡿⣿⡿⣿⣿⣿⣿⡿⣿⣿⣿⡿⣿⢿⣿⣿⠿⣿⡿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣷⢾⣿⣷⡾⠿⢿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⡶⣿⣿⢿⣿⣿⣿⣿⡿⣿⠿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣇⣠⣤⣤⣤⣬⣤⣤⣤⣤⣼⣤⣤⣤⣼⣤⣯⣼⣤⣤⣧⣬⣤⣧⣥⣥⣥⣧⣬⣤⣬⣬⣼⣤⣰⣷⣤⣵⣦⣬⣥⣥⣥⣷⣄⣤⣤⣤⣤⣧⣬⣦⣤⣤⣼⣤⣧⣤⣧⣥⣬⣥⣬⣬⣦⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣇⣉⣃⣥⣘⣉⣈⣏⣉⡉⢉⡉⢉⣉⣉⣉⣉⣸⣉⣈⣁⣉⣇⣙⣹⡟⣅⣃⣉⣁⣙⣉⣉⣉⣹⣈⣹⣀⣉⣹⢉⣉⣉⣸⣂⣏⣹⣙⣹⣙⣈⣙⣏⣉⣁⣋⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⣿⣿⡇⠀⠀⡀⠀⢀⠀⠀⠀⠀⠀⣀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⠀⠀⢀⢀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀
⣿⣿⡇⠀⠈⠁⠀⠈⠈⠉⠉⠈⠀⠈⠁⠈⠉⠁⠉⠉⠈⠈⠈⠀⠀⠈⠉⠁⠁⠈⠁⠈⠀⠁⠈⠈⠁⠉⠀⠉⠉⠁⠉⠈⠀⠁⠁⠀⠈⠁⠉⠈⠀⠈⠉⠁⠁⠁⠁⠁⠀⠀⠁⠉⠉⠀⠈⠁⠀⠁⠁⠀⠀⠉⠉⠁⠀⠀
⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⢸⣿⡿⢿⠿⣿⠿⠿⠿⠿⡿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⢿⠿⠿⠿⡿⢿⠿⠿⡿⠿⢿⠿⡿⠿⡿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⢿⢿⠿⠿⠿⣿⣛⢿⣿⣿⣿⣿⣿⣿
⣿⣿⢸⣿⡷⠶⢶⠾⡶⠶⠶⢷⣷⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣾⣶⣶⡷⠶⣶⠶⣷⣶⣷⣷⣶⣶⣴⣷⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠾⢶⠶⠶⠾⢶⣶⣷⣷⣭⣾⣿⣿⣿⣿⣿⣿
⣿⣿⢸⣿⣥⣤⣤⣤⣥⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣾⣶⣭⣭⣶⣵⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣬⣮⣤⣤⣦⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 1931

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/12/09/Over_at_Tux_Machines.shtml
    Gemini version at https://techrights.org/n/2024/12/09/Over_at_Tux_Machines.gmi

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


posted by Roy Schestowitz on Dec 09, 2024


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


⚓  Updated This Past Day⠀⇛


   1. ⚓ Thunderbird_Turned_20,_Happy_Birthday!⠀⇛


           Twenty years ago, Thunderbird v1.0 took flight


   2. ⚓ Manjaro_24.2_“Yonada”_Released,_Here’s_What’s_New⠀⇛


           Powered by Linux kernel 6.12, Manjaro 24.2 "Yonada" is now
           available for download with GNOME 47, Plasma 6.2, and XFCE 4.18


   3. ⚓ Security_Leftovers⠀⇛


           Security related picks


      ⚓  New⠀⇛


   4. ⚓ 9to5Linux_Weekly_Roundup:_December_8th,_2024⠀⇛


           The 217th installment of the 9to5Linux Weekly Roundup is here
           for the week ending on December 8th, 2024.


   5. ⚓ today's_howtos⠀⇛


           many howtos, some older


   6. ⚓ Games:_'Fremont'_SteamOS_(ArchLinux)_Device_and_‘Marvel_Rivals’_Plays
      Great_On_Steam_Deck⠀⇛


           a pair of Steam related picks


   7. ⚓ KDE:_Plasma_Wayland_Protocols_1.15.0_and_KPhotoAlbum_6.0.0⠀⇛


           A pair of KDE releases


   8. ⚓ Scrcpy_3.0_Added_Virtual_Android_Display_&_Official_GNU/Linux_Package⠀⇛


           Scrcpy, the popular free open-source Android screen mirroring
           and controlling app, released version 3.0 then 3.0.1 and 3.0.2
           with quick fixes few days ago


   9. ⚓ Debian_Picks_and_News⠀⇛


           Some Debian picks


  10. ⚓ GNU/Linux_and_Free_Software_Leftovers⠀⇛


           Linux and FOSS


  11. ⚓ Fedora_Infrastructure_and_Fedora_41_Templates_for_Qubes_OS_4.2⠀⇛


           A couple of Fedora picks


  12. ⚓ Devices/Embedded:_RISC-V_and_More⠀⇛


           hardware centric news


  13. ⚓ Programming_Leftovers⠀⇛


           Development related picks


  14. ⚓ today's_howtos⠀⇛


           many howtos for a Sunday


  15. ⚓ This_Week_in_KDE_Apps:_Gear_24.12.0_incoming⠀⇛


           Welcome to a new issue of "This Week in KDE Apps"! Every week
           we cover as much as possible of what's happening in the world
           of KDE apps


  16. ⚓ Arch_Linux:_Installing_and_Switching_Between_Multiple_Kernels⠀⇛


           Learn how to unlock Arch's full potential by installing and
           switching between different Linux kernels with our guide


  17. ⚓ Security_and_Windows_TCO⠀⇛


           Windows TCO mostly


  18. ⚓ reComputer_R1113-10_industrial_IoT_gateway_offers_isolated_RS485,
      RS232,_DI,_DO,_and_dual_Gigabit_Ethernet⠀⇛


           Seeed Studio has launched the reComputer R1100 series
           industrial IoT gateway family based on Raspberry Pi CM4


  19. ⚓ Xubuntu_Development_Update_December_2024⠀⇛


           As the holiday season enters full swing, Xubuntu 25.04 is off
           to a quiet start


  20. ⚓ Open_Hardware/Modding:_ESP32,_Hackaday_Podcast,_and_Canonical⠀⇛


           some hardware picks


  21. ⚓ These_12_systemctl_Commands_Will_Let_You_Take_Control_of_Linux_systemd
      Services⠀⇛


           The systemctl command has some frequently overlooked
           functionality


  22. ⚓ today's_howtos⠀⇛


           3 howtos


  23. ⚓ Games:_‘Indiana_Jones_And_The_Great_Circle’_Run_On_Steam_Deck,_Retro,
      and_Cheating_Allegations⠀⇛


           Games related picks


  24. ⚓ Free_and_Open_Source_Software⠀⇛


           This is free and open source software


  25. ⚓ Filippo_Valsorda's_"frood"_Is_a_Hoopy_Immutable_NAS_Running_Entirely
      From_an_Initial_RAM_Filesystem_-_Hackster.io⠀⇛


           From guaranteed boot-up to easy A/B testing, there's a lot to
           recommend this Alpine Linux-based rootfs-free setup.


  26. ⚓ GNU/Linux_and_BSD_Leftovers⠀⇛


           or today's leftovers


  27. ⚓ today's_howtos⠀⇛


           3 howtos for now


  28. ⚓ Latest_From_Red_Hat⠀⇛


           Red Hat Official Site


  29. ⚓ Open_Hardware:_On_Raspberry_Pi_and_Arduino⠀⇛


           Especially the former


  30. ⚓ Free,_Libre,_and_Open_Source_Software:_Mozilla_Lacks_Direction,_More
      FOSS_Leftovers⠀⇛


           FOSS news


  31. ⚓ GitLab_Co-founder_and_CEO_is_Out_and_Other_Programming_News⠀⇛


           Development picks


  32. ⚓ Today_in_Techrights⠀⇛


           Some of the latest articles


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


                         Span from 2024-12-02 to 2024-12-08
      765 /n/2024/12/03/Cinnamon_Desktop_6_4_Released_with_New_Look.shtml


      706 /n/2024/12/04/FreeBSD_14_2_RELEASE_Announcement.shtml


      591 /n/2024/12/01/
          HandBrake_1_9_Adds_Support_for_Lossless_VP9_Encoding_Intel_QSV_.shtml


      586 /n/2024/12/03/
          Games_Vulkan_Upgraded_Discord_With_Wayland_Lutris_Release.shtml


      543 /n/2024/12/04/
          _Ceratopsian_will_be_the_default_theme_for_Debian_13.shtml


      536 /n/2024/12/05/today_s_howtos.shtml


      529 /n/2024/11/30/
          Armbian_24_11_Released_with_Support_for_OrangePi_5_Max_and_Radx.shtml


      519 /n/2024/12/06/today_s_howtos.shtml


      514 /n/2024/12/03/
          Nitrux_3_8_db_Released_Packed_with_Performance_Boosts.shtml


      511 /n/2024/12/03/
          Nitrux_3_8_Released_with_Linux_Kernel_6_12_Better_Support_for_N.shtml


      503 /n/2024/12/06/today_s_leftovers.shtml


      499 /n/2024/11/21/EasyOS_Scarthgap_and_Daedalus_6_4_4_releases.shtml


      497 /n/2024/12/05/
          NVIDIA_565_Linux_Graphics_Driver_Is_Now_Available_for_Download_.shtml


      494 /n/2024/12/05/Programming_Leftovers.shtml


      491 /n/2024/12/06/KDE_icecream.shtml


      490 /n/2024/12/05/today_s_howtos.1.shtml


      487 /n/2024/12/06/Programming_Leftovers.shtml


      481 /n/2024/12/02/today_s_howtos.shtml


      475 /n/2024/12/06/
          Graphics_Mesa_24_3_1_NVIDIA_Driver_565_77_and_Hopalong.shtml


      474 /n/2024/12/05/today_s_howtos.2.shtml




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                    ䷩ 𝚕𝚒𝚗𝚎 2266

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/12/09/Reforming_Versus_Rebooting_Versus_Destroying_Institutions.shtml
    Gemini version at https://techrights.org/n/2024/12/09/Reforming_Versus_Rebooting_Versus_Destroying_Institutions.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Reforming Versus Rebooting Versus
Destroying Institutions⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Dec 09, 2024


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


TONIGHT, probably at around midnight (if the coffee works as expected), we'll
cover this week's first 'bombshell' [1, 2], based on internal EPO publications.
Having just mentioned_so-called_"Insurance_Companies" (companies that seek
excuses not to cover anything, unless you can afford to sue them or they simply
have no plausible means of denying claims), let's be clear what our goals are
when it comes to fake_courts, an utterly_corrupt_agency_for_trademarks_in_the
EU, and a patent office that boasts_about_breaking_laws (justifying
illegalities by talking about "money").


Our goal isn't to harm the EU (we're actually pro-EU, most of us are just
concerned about the_direction_it_has_taken with obvious corruption and
unconstitutional "courts"). We don't seek to eliminate the EPO, either. We
never said all patents should be abolished, we've always focused on abstract
patents, covering things like so-called "business methods" and algorithms.


It's possible to make a better world (a cliche, sure) by dealing with existing
structures and 'reforming' them by showing to the population "at large" what's
wrong and what can be improved. Sure, the culprits and perpetrators will_try_to
gag_publishers (that's what corrupt autocrats always do, universally). But as
long as some true justice exists somewhere, redemption and truth (or
transparency) will come about, somehow, even if very much belatedly. That's why
Julian Assange is in Australia right now with his wife and kids. That's why
Boris Johnson more or less disappeared.


Destroying the EPO isn't the goal and isn't likely to succeed either unless
patents are somehow suspended globally and all past patents get annulled.
Rebooting would likely mean flushing down all the managers and starting afresh;
it would take some heck of a "jubilee" for that to happen and likely result in
other people from the same "industry" (i.e. lawyers) taking control again,
emboldened by law firms' lobby groups, e.g. European Patent Lawyers Association
(EPLAW, formerly EPLA) and CIPA. Reforming would simply not go far enough; they
tried this before, it boils down to lip service.


At the moment we strive to expose the truth or shine light on pertinent facts.
That, we hope, will lead to some solutions, over time. In order to cure a
disease one must first pursue a reliable and accurate diagnosis. █




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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⠀⠀⠀⠴⠶⠤⠄⠀⠂⠈⠶⠠⢤⣄⣀⡐⠁⠃⠶⠍⠖⠶⠄⣠⣤⠁⠀⣀⣀⣈⣁⣁⢀⡀⠀⠀⠀⠀⠀⠉⠒⠂⣐⣄⣀⣀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 2354

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/12/09/Remote_From_Home_Tech_Workers_Are_More_Productive_for_a_Lot_of_.shtml
    Gemini version at https://techrights.org/n/2024/12/09/Remote_From_Home_Tech_Workers_Are_More_Productive_for_a_Lot_of_.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 'Remote' (From Home) Tech Workers Are More
Productive for a Lot of Reasons⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Dec 09, 2024,
updated Dec 09, 2024


"Democracy Dies in Darkness", says the paper owned by someone who passively
promoted Donald Trump 2 months ago (many subscribers, who had chosen to pay
him, canceled their subscription over it)


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Jeff_Bezos_Post:_Are_‘ghost_engineers’_real?_Seeking_Silicon
                      Valley’s_least_productive_coders.⦈_


IT is difficult to comprehend why so many people will willingly trust an
oligarch like Jeff Bezos as a source of news. The truth is, he merely bought a
brand and many people trust this brand for nostalgic reasons. This paper is
older than him.


Yesterday morning (US time) the Bezos Post (Amazon) sort of collectively
slandered_software_engineers_or_programmers_who_work_from_home. It's easy to
see how Amazon, with ongoing mass layoffs, stands to benefit from this
narrative. Amazon is currently the_undisputed_king_of_"RTO"_as_mass_layoffs
(demanding people come back to the office, knowing a huge proportion of them
would resign, instead).


This "Denisov-Blanch's disinformation ["The ghost engineers haunting Silicon
Valley programming payrolls"] needs addressing and rebuttal," one reader told
me. It cites some study and says "[a] Stanford researcher says data on
programmer productivity suggests 14 percent of remote software engineers get
barely anything done."


Why is the Bezos Post promoting only this "study" and why now?


I myself have worked from home since 2007. Except for rare occasions (like
visiting clients for a few days), I never worked in an office-like environment
since 2007. I actually became vastly more productive when I started working
from home. I regretted that I had not done so sooner. A large part of my
decision was my grandfather, who told me something to the effect of, "if you
don't try it, how will you know?"


This was 17.5 years ago. I went to Micro Direct (when it still existed here),
purchased a large second monitor (I've used at least dual head since I was 19),
and then did work from my desk in my apartment. That work was mostly coding. I
was writing programs, albeit this time with fewer distractions. My work was
assessed not based on clock in/out but based on what was produced and how fast,
the quality of the work and so on.


So why did the Bezos Post cherry-pick some FUD?


"The core assertion [in the above article/study] seems to be that the number of
commits in a content management system stands for an accurate assessment of
productivity," the reader noted. "That's, as everyone knows, bullshit. However,
you'll have to track down the original source, it's not linked to in the above
article."


Maybe they even distort what the original study said. The Bezos Post isn't
exactly known for its objectivity; it was not this bad when it was known as the
Washington Post. Bezos looks at press ownership as a route towards financial
(personal) gain.


I could go on and on about how working from home is better and I wrote many
articles about it during lock-downs a few years ago.


The Bezos-owned media should disclose its conflict of interest here. █




⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡶⢶⣶⠲⢶⣶⢶⣶⣶⣶⣶⣶⠶⣶⡶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣥⡼⠦⣤⣤⡄⢠⣄⢦⢤⠴⢠⣵⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⣿⣿⣷⣉⣿⡻⡛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣧⣭⣁⣿⣿⣭⣩⣹⣪⣭⣽⣿⣧⣝⣭⣭⣽⣭⣭⣍⣉⣭⣭⣿⣿⣭⣭⣯⣩⣕⣩⣫⣍⣿⣿⣈⣭⣩⣽⣿⣬⣭⣽⣜⣬⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⠃⢹⠋⡙⠝⣿⣬⢫⢹⢨⠻⢫⠛⠝⡇⣿⠟⠝⠋⡝⡋⠉⠂⠋⡝⠛⠙⠫⢻⢉⡋⠽⣼⡟⢉⠫⠹⠋⢻⢰⢂⣿⢄⠃⡟⠝⠫⠙⠸⢻⢺⢛⠙⠫⢩⡯⣘⠺⢺⢸⠲⢫⡛⠉⠛⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠃⠙⠀⠒⠓⠉⠛⠓⠀⠈⠈⠚⠊⠒⠁⠃⠙⠓⠑⠀⠑⠀⠀⠒⠀⠁⠂⠑⠊⠙⠚⠊⠑⠛⠓⠚⠂⠑⠐⠘⠚⠘⠛⠊⠑⠓⠑⠂⠑⠊⠈⠚⠈⠀⠀⠈⠓⠉⠚⠚⠚⠒⠊⠒⠀⠂⠀⠘⠛⠛⠛⠛⠛⠛⠛⠛⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 2458

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/12/09/Teaser_EPO_Management_Thinks_Inflation_in_Europe_is_0_2_Per_Ann.shtml
    Gemini version at https://techrights.org/n/2024/12/09/Teaser_EPO_Management_Thinks_Inflation_in_Europe_is_0_2_Per_Ann.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ [Teaser] EPO Management Thinks Inflation in
Europe is 0.2% Per Annum⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Dec 09, 2024


Coming soon...


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


Taming inflation by entirely ignoring it is like wrongly assuming that climate
change (caused by human activity) can be overcome by not studying the effect of
8+ billion humans on this finite planet.


Since promotions are barely possible anymore [1, 2], EPO workers basically
receive paycuts (salary reductions) over time, despite_growing_experience. █




⠀⠀⢶⡆⢀⠀⠈⠀⣠⠘⠀⢶⡇⠙⠛⠃⣜⣿⠐⣿⡇⢻⣿⠸⣿⡇⢿⣇⢻⡢⢹⠂⠐⠂⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠀⠈⠁⠀⠀⠀⠀⠛⠁⠀⠈⠁⠀⠇⡀⠋⠿⠀⠛⠃⠘⠟⠀⠻⠃⠸⠏⢸⡟⠀⠀⠀⠿⠃⠘⠃⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠴⠖⠒⠒⣷⠒⠒⠶⠒⠒⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠆⠄⠒⠂⠂⠀⠒⠒⠒⠒⠒⢲⡆⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢀⣴⣿⣿⣿⣿⣿⣮⣥⣴⣤⣀⡀⡈⣿⢀⡶⡄⢶⡆⢰⣢⢰⣦⠀⣄⠰⣄⠀⡀⠀⡀⠀⢀⡀⢀⡀⢀⡀⢀⠀⠈⠃⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠉⢿⣿⣿⣿
⠀⢺⣿⣿⣿⣿⡟⣭⣄⠀⠀⠀⠀⠀⠀⢻⠘⢰⡇⠸⣿⠀⣿⠆⢷⠆⢡⡄⢹⡆⢸⡇⢹⡇⠸⠇⠘⠃⠸⠇⠸⠁⠰⠀⣾⣿⣿⢿⣿⣿⣿⣿⡉⠑⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⡿⣠⡸⣿⣿⣿
⠀⢼⡭⠙⠉⠉⠙⠈⢁⡀⠀⠀⠀⠀⠀⢸⠀⠘⠃⠀⠉⠀⠉⠀⠈⠁⠘⠃⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⢀⣿⣿⣷⡾⠿⢻⠛⣿⢃⠂⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⡿⡏⠀⠀⣿⣷⣿⡟⡈⡄⠀
⠀⢨⣤⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⢸⠒⠒⠒⠒⠒⠒⠒⠂⠀⠈⠉⠉⠉⠉⠉⡉⠉⢉⡁⢁⡀⢀⡀⢀⡀⢠⡂⢃⠙⢫⣝⡀⢳⢾⠀⠟⠛⡀⠀⠀⠀⠀⡂⢲⡿⠛⠉⣥⣴⣤⣦⡤⠃⡶⢀⡏⢍⡉⣸⡁⠀⠀
⠀⠨⡉⠀⠀⠀⠀⠀⢸⣿⡒⠀⠀⢠⡀⢸⠀⠀⠀⠀⠀⠀⠂⠀⠄⠀⠀⠠⠀⠀⠀⠛⠂⠈⠃⠈⠁⠸⣿⣿⣿⡿⡇⢿⢾⢸⣻⡾⠀⠀⠘⣿⣿⡇⠀⠀⠂⣒⣀⠈⢉⣬⡄⣌⣸⣿⣿⣿⠀⠀⠈⣿⣿⣳⣿⠁⠀⠀
⠠⠤⠤⠀⠀⠀⠀⠀⢈⣉⡀⠀⠀⠀⠀⠸⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣷⣿⡇⠀⠀⠀⣿⣷⡀⠀⠀⣫⣿⠃⠀⠀⢃⡿⢈⣠⣾⡿⠀⣿⣿⣻⣶⣶⡄⠀⠀⣿⣿⣿⠃⠀⠂⠀
⠀⣤⣤⡀⠀⠀⠀⠀⠘⣿⡁⠀⠀⠀⠀⠀⢀⣠⣤⣤⣶⣶⣶⣶⣶⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣴⣦⣴⣾⣟⣿⣿⣳⣤⣶⣤⣽⣿⣓⣠⣦⡿⠃⠀⠀⠀⢈⠀⣹⣿⣿⡅⠀⣿⣏⣿⣿⣟⡅⠀⠀⣿⣿⡟⠀⡀⠃⠀
⠀⠉⠉⣁⣀⡀⠀⠀⠀⠉⠀⠀⢀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠿⠻⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⡿⣿⡗⠂⠀⠀⡀⠀⠀⠀⠙⠁⣀⣀⣵⣋⣉⣙⢛⣃⣀⢀⣙⣛⡀⠀⠃⠀⠀
⠀⠀⠀⠛⠛⠃⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣌⡻⠻⣧⣀⡀⠀⠀⠃⠀⠀⠀⠀⠀⢀⣭⣭⣭⡉⠋⣉⠉⠩⠉⠁⠀⠀⠀⠀⠀⠀
⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡿⢾⣿⣿⣿⡿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣻⣿⣿⣿⢻⣯⣛⠛⢋⣭⣉⡻⣿⣿⣿⣿⣿⣿⣧⡀⠘⢿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠈⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀
⡝⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⡟⣿⠳⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡛⠿⠂⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠂⠃⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀
⣤⡄⠀⠉⠀⠀⢤⡀⠀⣀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣭⣥⣿⣿⣿⣿⣿⣿⣿⣻⠿⠿⠹⠇⠿⢸⣿⡿⣿⣿⡿⣿⣼⣿⡿⣿⠁⠀⠀⠀⠀⠀⠋⣿⣿⣿⣧⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣷⢤⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠁⠉⠀⠀⠀⠀⢢⣶⡶⠉⢈⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣻⣿⣯⣛⢯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠉⠀⠀⠐⠶⣦⡀⠀⠀⠀⠀⢀⢀⢀⡀⠀⠀⠀⠀⠀⠀
⡛⢿⣮⡙⢷⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠉⠉⠀⠈⡹⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣌⣽⡷⣤⠖⢸⣿⣿⣿⣿⣺⢴⡖⠶⡰⡶⢶⣾⣿⣷⣶
⣿⡦⡙⠁⢄⠛⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀⠀⠀⢠⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⠃⢸⣎⣉⣛⣛⣿⣿⣵⣆⣠⣬⣱⣦⣶⣶⣾⣿
⠈⠁⠀⠀⠈⡠⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠈⠛⠻⣿⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣄⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢄⠀⢀⣄⠀⣠⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣤⣤⣤⣀⣄⣀⣀⣀⣉⣉⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣠⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠓⠜⠛⡛⠛⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢀⠀⢶⡆⠀⠀⠈⠀⣠⠘⠀⢶⡇⠙⠻⠃⣜⣿⠀⣿⡇⢻⣿⠸⣿⡇⢿⣇⢻⡢⢹⠂⠐⠂⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠀⠈⠁⠀⠀⠀⠀⠛⠁⠀⠈⠁⠀⠇⡀⠉⠿⠀⠛⠃⠘⠿⠀⠻⠃⠸⠏⢸⡟⠀⠀⠀⠿⠃⠘⠃⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠴⠖⠒⠒⣷⠒⠒⠖⠒⠲⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠆⠂⠐⠒⠀⠀⠐⠒⠒⠒⠒⢲⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢠⣶⣿⣿⣿⣿⣿⣯⣤⣴⣦⣀⡀⡈⣿⢀⡶⡄⢶⡆⢰⣦⢰⣤⠀⣄⠰⣄⠀⡄⠀⡀⠀⢀⡀⢀⡀⢀⡀⢀⠀⠈⠃⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠉⢿⣿⣿⣿
⠀⢸⣿⣿⣿⣿⡟⣭⣄⠀⠀⠀⠀⠀⠀⢹⠘⢰⡇⠸⣿⠀⣿⠆⢷⠆⢩⡄⢹⡆⢸⡇⢹⡇⠸⠇⠘⠃⠸⠇⠸⠃⠰⠀⣾⣿⣿⣿⣿⣿⣿⣿⡉⠑⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⡿⣠⡸⣿⣿⣿
⠠⣼⡭⠉⠉⠉⠙⠈⢁⠀⠀⠀⠀⠀⠀⢸⠀⠘⠃⠀⠉⠀⠉⠀⠈⠁⠘⠃⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⢈⣿⣿⣧⣾⠿⢿⠛⣿⢃⠂⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⡿⡏⠀⠀⣿⣵⣿⡟⡈⡄⠀
⠀⢨⣤⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⢸⠒⠒⠒⠒⠒⠒⠒⠂⠀⠈⠉⠉⠉⠉⠉⡉⠉⢉⡁⢀⡀⢀⡀⢀⡀⢠⣂⢃⠙⢫⣁⡀⢳⢾⠀⠟⠛⡀⠀⠀⠀⠀⡂⢲⣿⠛⠉⣥⣴⣤⣦⣤⠃⡖⢀⡏⢍⡉⣹⡁⠀⠀
⠀⣨⡍⠀⠀⠀⠀⠀⢸⣿⡒⠀⠀⢠⡀⢸⠀⠀⠀⠀⠀⠀⠂⠀⠄⠀⠀⠠⠀⠀⠀⠛⠂⠈⠃⠈⠁⠸⣿⣿⣿⣿⡇⢷⢾⠸⣿⡶⠀⠀⠘⣿⣿⡇⠀⠀⠂⡓⣂⠈⢉⣬⡄⣌⣸⣿⣿⣿⠀⠀⠈⣿⣿⣳⣿⠁⠀⠀
⠠⠤⠤⠀⠀⠀⠀⠀⢈⣉⡀⠀⠀⠀⠀⠸⢘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣷⣿⡃⠀⠈⢰⣿⣷⡀⠀⠀⣫⣿⠃⠀⠀⢃⡿⢂⣠⣾⡿⠀⣿⣿⣻⣶⣶⡄⠀⠀⣿⣿⣿⠃⠀⠂⠀
⠀⣤⣤⡀⠀⠀⠀⠀⠈⣿⡅⠀⠀⠀⠀⠀⢀⣠⣤⣤⣶⣶⣶⣶⣶⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣴⣦⣴⣾⣟⣿⣿⣧⣤⣴⣤⣽⣿⣓⣠⣦⡿⠃⠀⠀⠀⢨⠖⣰⣿⣿⠀⠀⣿⣏⣿⣿⣟⡅⠀⠀⣿⣿⡟⠀⡀⠃⠀
⠀⠉⠉⣁⣀⡀⠀⠀⠀⠉⠀⠀⢀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠟⠿⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡗⠂⠀⠀⡀⠀⠀⠀⠉⠃⣀⢀⣵⣋⣉⣙⢛⣃⣀⢀⣹⣛⡀⠀⠃⠀⠀
⠀⠀⠀⠛⠛⠃⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣌⡻⠻⣯⣀⡀⠀⠀⠃⠀⠀⠀⠀⠀⢀⣭⣭⣭⡉⠋⣉⠉⠩⠉⠁⠀⠀⠀⠀⠀⠀
⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡿⢾⣿⣿⣿⡿⣿⣿⣿⣷⣾⣭⣿⣽⣻⣿⣻⣿⣿⣿⢻⣯⣛⠛⢛⣭⣙⡻⣿⣿⣿⣿⣿⣿⣷⡀⠈⢿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣀⠈⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀
⡝⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⡟⣿⠳⣿⣷⣿⣿⣿⣴⣶⣄⣤⣬⡛⠿⠂⠀⠀⠀⣀⢀⡀⠀⡀⠀⠀⠂⠃⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀
⣤⡄⠀⠉⠀⠀⣤⢀⡀⣀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣭⣥⣿⣽⣿⣿⣿⣿⣿⣻⠿⠿⠽⠇⠿⢸⣿⡿⣿⣿⡿⣿⣼⣿⡿⣿⠁⠀⠀⠀⠀⠀⠫⣿⣿⣿⣧⠍⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣷⢤⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠁⠉⠀⠀⠀⠀⢢⣶⡶⠉⢈⡀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣻⡿⣯⣛⢮⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠉⠀⠀⠐⠷⣤⢀⠀⠀⠀⢀⢀⢀⢀⡀⠀⠀⠀⠀⠀⠀
⡛⢿⣮⡙⢷⡙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠉⠉⠀⠈⢹⣿⣿⣿⣿⣿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣌⣿⣷⣦⠶⣸⣿⣿⣿⣿⢛⢦⡄⠿⠴⠴⢶⣶⣿⣶⣶
⣿⠦⡙⠊⢄⠓⣜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⠆⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠑⠒⢐⣎⣉⣛⣛⣿⣿⣕⣤⣴⣤⣥⣴⣶⣾⣾⣿
⠈⠁⠀⠀⠈⡠⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣄⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⣄⠀⢀⡆⠀⣠⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣤⣤⣤⣀⣀⣀⣀⣀⣉⣉⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠓⠜⠛⡛⠛⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢀⠀⢶⡆⠀⠀⠈⠀⣠⡘⠀⢶⡇⠛⠛⠃⢘⣿⠀⣿⡇⢻⣿⠸⣿⡇⢿⣆⢻⠗⢹⠀⠀⠂⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠀⠈⠁⠀⠀⠀⠀⠛⠁⠀⠈⠁⠈⠇⡀⠈⠿⠀⠛⠃⠘⠿⠀⠻⠃⠸⠏⢸⡟⠀⠀⠀⠿⠃⠘⠃⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠖⠒⠒⠒⣿⠒⠒⠒⠒⠒⠲⠖⠶⠶⠶⠶⠶⠖⠶⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⢒⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢠⣾⣾⣿⣿⣿⣿⣿⣤⣶⣤⣀⡀⡈⣿⢀⡶⡄⢶⡆⢰⣦⢰⣶⠀⣄⠰⣄⠀⡄⠀⡀⠠⢀⡀⢠⡀⢀⡀⢀⠀⠈⠃⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠉⢿⣿⣿⣿
⠀⢸⣿⣿⣿⣿⣿⣭⣄⠀⠀⠀⠀⠀⠀⢹⠘⢰⡇⠸⣿⠈⣿⠆⢷⠇⢱⡄⢻⡆⢸⡇⢸⡇⠺⠇⠘⠃⠘⠃⠸⠇⠸⠀⣞⣿⣿⢿⣿⣿⣿⣿⡉⠑⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⡿⣤⡸⣿⣿⣿
⠠⣬⡭⠉⠉⠉⠙⠀⢀⡀⠀⠀⠀⠀⠀⢸⠀⠘⠃⠀⠉⠀⠉⠀⠈⠁⠘⠁⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⢈⣿⣿⢧⠾⠿⢻⠛⣿⣣⠒⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⡿⡏⠀⠀⣿⣿⣿⡏⡀⡆⠀
⠀⢨⣤⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⢸⠒⠒⠒⠒⠒⠒⠀⠀⠀⠉⠉⠉⠉⠉⠉⡉⠉⢉⡀⢀⡀⢀⡀⠀⡀⢠⡆⢃⠙⢫⣍⡀⣳⢾⢀⠟⠛⡀⠀⠀⠀⠀⠀⢲⡟⠋⠈⢥⣶⣴⣦⣤⠃⡗⢀⡯⣍⡉⣸⣁⠀⠀
⠀⢩⡉⠀⠀⠀⠀⠀⢸⣿⡒⠀⠀⢠⡀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠠⠀⠀⠀⠛⠂⠈⠉⠈⠁⠘⣿⣿⣿⣟⡇⢿⢿⠸⣿⡿⠀⠀⠘⣿⣿⡇⠀⠀⡒⣓⣀⠌⢭⣤⠄⢬⣼⣿⣿⣿⠀⠀⠈⣾⣿⣳⣿⠁⠀⠀
⠠⠤⠤⠀⠀⠀⠀⠀⢈⣉⡀⠀⠀⠀⠀⠘⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣿⡇⠀⠀⢈⣿⣷⡀⠀⠀⣻⣿⠃⠀⠀⢁⡿⢀⣢⣾⡿⠀⣿⣿⣻⣶⣶⡆⠀⠀⣿⣿⣿⠃⠀⠂⠀
⠀⣤⣤⡄⠀⠀⠀⠀⠈⣿⠍⠀⠀⠀⠀⠀⣀⣠⣤⣴⣶⣶⣶⣶⣶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣴⣦⣴⣾⣛⣿⣿⣲⣦⣶⣤⣽⣿⣛⣀⣦⡿⠃⠀⠀⠀⢨⠂⣸⣿⣿⠃⠀⣿⣯⣿⣿⢟⡅⠀⠀⣿⣿⡟⠀⡀⠇⠀
⠀⠉⠉⣁⣀⡀⠀⠀⠀⠉⠀⠀⢀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠝⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣟⡿⣿⠗⠂⠀⠀⡀⠀⠀⠀⠉⢁⣀⣀⣽⣋⣉⣑⢟⣃⣀⣀⣙⣛⡀⠀⠃⠀⠀
⠀⠀⠀⠛⠛⠃⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣬⡛⠻⣧⣄⣄⠀⠀⠃⠀⠀⠀⠀⠀⢀⡭⢭⣭⠉⠉⣉⠉⠩⠍⠀⠀⠀⠀⠀⠀⠀
⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡿⢾⣿⣿⣿⡿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣻⣿⣿⣿⢻⣿⣛⢛⢋⣭⣙⡻⣿⣿⣿⢿⣿⣿⣷⡀⠘⢿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⣀⠈⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀
⡝⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⡟⣿⠳⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡙⠛⠂⠀⠀⠀⣀⣀⣀⣀⡀⢀⠀⠀⠓⠀⠀⣤⡄⠀⠀⠀⠀⠀⠀⠀
⣤⡄⠀⠉⠀⠀⡤⣂⠀⣀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣭⣥⣽⣿⣿⣿⣿⣿⣿⣻⠿⠿⠹⠇⠿⢸⣿⡿⣿⣽⡿⣿⣼⣿⡿⣿⠁⠀⠀⠀⠀⠀⠹⣿⣿⣿⡧⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣷⢤⣤⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠁⠉⠀⠀⠀⠀⢢⣾⡶⠂⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣻⣿⣯⣛⢮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠁⠀⠀⠘⠲⠄⡀⠀⢀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀
⡛⢿⣮⡙⢷⡐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠋⠉⠁⠀⠀⣹⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣠⣽⣷⡶⠖⢾⣿⣿⣿⡿⣦⡦⠔⢶⡶⢶⡷⢶⣿⣷⣶
⣿⣦⠉⠈⢀⠛⣜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⠻⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⠀⣪⣏⣉⣙⣻⣿⣿⣇⣧⣆⣬⣴⣤⣷⣶⣿⣿
⠈⠁⠀⠀⠀⡡⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠈⠙⠿⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣄⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢦⠀⠀⣆⠀⣠⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣤⣤⣄⣀⣀⣀⣀⣈⣉⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠓⠜⠛⡛⠛⡛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣀⠀⢶⡆⠀⠀⠈⠀⣠⡘⠀⢶⡇⠙⠛⠃⢘⣿⠈⣿⡇⢻⣿⠸⣿⡇⢿⣇⢻⣧⠹⠀⠀⠂⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠀⠈⠁⠀⠀⠀⠀⠙⠁⠀⠈⠁⠀⠏⡀⠈⠿⠀⠛⠃⠘⠛⠀⠛⠃⠸⠏⠸⡟⠀⠀⠀⠻⠃⠘⠃⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠤⠤⠤⠤⠤⠤⠤⠀⠀⠀⠐⠒⠒⠒⠒⣿⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⢒⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢀⣾⣿⣿⣿⣿⣿⣯⣴⣾⣮⣀⡀⠈⣿⢀⡶⡄⢲⡆⢰⣦⢰⣶⠀⣤⠰⣄⠀⣀⠀⡀⠀⢀⡀⢠⡀⢀⡀⢀⠀⠀⠃⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⢿⣿⣿⣿
⠀⢸⣿⣿⣿⣿⣿⣥⣄⠀⠀⠀⠀⠀⠀⢹⠘⢰⡇⠸⣿⠈⣿⠆⢷⠇⢱⡆⢹⡆⢸⡇⢸⡇⠻⠇⠘⠃⠘⠃⠸⠃⠸⠀⣞⣿⣿⢿⣿⣿⣿⣿⡉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⡿⣤⡸⢿⣿⣿
⠠⣬⡭⠉⠉⠉⠙⠀⢀⠀⠀⠀⠀⠀⠀⢸⠀⠘⠃⠀⠉⠀⠉⠀⠈⠁⠘⠁⠈⠁⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⡀⠀⢈⣿⣿⢷⡾⠿⢻⠛⣿⣣⠒⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⡿⡇⠁⠀⣿⣿⣿⠏⡀⡆⠀
⠀⢠⣤⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⢸⠂⠂⠒⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⡉⠉⢁⡀⢀⡀⢀⡀⢀⡀⢠⡆⣃⠙⢫⣭⡀⣱⢾⢀⠟⠟⡀⠀⠀⠀⠀⠂⢲⡛⠋⠁⢥⣶⡴⣦⡤⠃⡇⢀⡏⣍⡍⣽⡁⠀⠀
⠀⣩⡉⠀⠀⠀⠀⠀⢘⣟⠂⠀⠀⢠⡄⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠛⠂⠈⠉⠈⠁⠘⣿⣿⣿⣟⡇⢻⢿⠸⣿⡿⠁⠀⠘⣿⣿⡇⠀⠀⡂⣁⣀⠌⢥⣤⠄⣬⣼⣿⣿⣿⠀⠀⠈⣿⣿⣻⣿⠁⠀⠀
⠀⠤⠤⠀⠀⠀⠀⠀⢈⣅⡀⠀⠀⠀⠀⠘⠨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣿⡇⠀⠀⠸⣿⣷⡀⠀⠀⣫⣿⠃⠀⠀⢡⡿⢡⣦⣾⡿⠀⣿⣿⣻⣶⣶⡆⠀⠀⣿⣿⣿⠃⠀⡂⠀
⠀⣤⣤⡄⠀⠀⠀⠀⠘⣿⠍⠁⠀⠀⠀⠀⣀⣠⣤⣴⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣴⣦⣶⣾⣟⣿⣿⣳⣦⣶⣤⣽⣿⣛⣠⣦⡿⠃⠀⠀⠀⢨⠂⢰⣿⣿⠀⠀⣿⣯⣿⣿⢟⡅⠀⠀⣿⣿⡏⠀⡀⠆⠀
⠀⠉⠉⣁⣀⡀⠀⠀⠀⠈⠀⠀⢀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠻⠉⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⡽⣿⠗⠂⠀⠀⡀⠀⠀⠀⠈⢁⣤⣀⣽⣉⣁⣑⢗⣃⣀⣀⣩⣉⡀⠀⠁⠀⠀
⠀⠀⠀⠛⠛⠁⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣬⡛⠛⣷⣤⣄⠀⠀⠃⠀⠀⠀⠀⠀⢀⠬⠭⡭⠉⠉⣉⠍⠡⠄⠀⠀⠀⠀⠀⠀⠀
⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡿⢾⣿⣿⣿⡿⣿⣿⣿⣷⣾⣭⣿⣽⣻⣿⣻⣿⣿⣿⢻⣯⣛⠛⢋⣭⣙⡻⣿⣿⣿⢿⣿⣿⣷⡀⠈⢿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠈⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀
⡝⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⡟⣿⠳⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡙⠛⠃⠀⠀⠀⣀⣀⣀⣀⡀⣀⡀⠀⠃⠀⠀⠤⠄⠀⠀⠀⠀⠀⠀⠀
⣤⣄⠀⠉⠀⠀⡔⣂⠀⣀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣭⣥⣿⣿⣿⣿⣿⣿⣿⣻⠿⠿⠹⠇⠿⢸⣿⡿⣿⣿⡿⣿⣼⣿⡿⣿⠁⠀⠀⠀⠀⠀⠉⣿⢿⣿⡧⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣷⢦⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠁⠉⠀⠀⠀⠀⢢⣾⡶⠂⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⡿⣯⣝⢮⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⢿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠁⠀⠀⠐⠳⢦⡀⠁⢀⢀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀
⡛⢿⣮⡙⢷⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠉⠀⠀⠈⢹⣿⣿⣿⣿⣿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⣽⢷⣶⠶⠿⣿⣿⣿⣞⣿⡛⢛⠂⠂⡶⢶⣶⣿⣷⣶
⣿⣦⠉⠀⢂⠹⣘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⡀⠀⠀⠀⠀⠀⢨⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠒⢰⣎⣉⣙⣹⣿⢿⣧⣦⣴⣦⣥⣤⣶⣶⣿⣿
⠈⠁⠀⠀⠀⡡⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠈⠛⠿⢿⣷⣶⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣄⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢦⠀⠀⡆⠀⣠⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣦⣤⣤⣤⣤⣄⣀⣀⣈⣉⣁⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣤⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠓⠜⠛⡛⠛⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣀⠀⢶⡆⠀⠀⠈⠀⣤⠘⠀⣶⡇⠉⠛⠃⣛⣿⠈⣿⡇⢻⣿⠸⣿⡇⢿⣇⢻⣇⠹⠀⠈⠃⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠀⠈⠁⠀⠀⠀⠀⠙⠀⠀⠈⠁⠨⠇⡀⠉⠿⠀⠛⠃⠘⠛⠀⠛⠃⠸⠇⠸⡟⠀⠀⠀⠻⠃⠘⠃⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠤⠤⠤⠤⠤⠄⠀⠀⢐⠒⠒⠒⠒⠒⠒⣿⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⢲⣇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢠⣾⣿⣿⣿⣿⣿⣿⣶⣾⣦⣄⡀⠈⣿⢀⡶⡄⢶⡆⢰⣦⢰⣶⠐⣦⠰⣄⠀⡀⠀⡀⠠⢀⡀⢠⡀⢀⡀⢀⠀⠈⠃⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠉⢿⣿⣿⣿
⠀⢼⣿⣿⣿⣿⡏⣥⣄⠀⠀⠀⠀⠀⠀⢹⠘⢰⡇⠸⣷⠀⣿⠆⢷⠆⢱⡆⢻⡆⢹⡇⢹⡇⠺⠇⠘⠃⠘⠃⠸⠃⠸⢀⣞⣿⡿⢿⣿⣿⣿⣿⡉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⡿⣤⡸⣿⣿⣿
⠠⣬⡭⠉⠉⠉⠙⠀⢀⠀⠀⠀⠀⠀⠀⢸⠀⠘⠃⠀⠉⠀⠉⠀⠈⠀⠈⠁⠈⠁⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡀⠀⣈⣿⣿⣶⢾⠟⢻⠛⣿⣣⠒⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⢿⣿⣿⡿⡇⠁⠈⣿⢽⣿⠏⡀⡆⠀
⠀⢠⣤⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⢸⠒⠒⠒⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⡉⠉⢀⡀⢀⡀⢀⡀⢀⣄⢠⡆⣃⡙⢩⢉⠀⢳⣾⢀⠿⠟⡀⠀⠀⠀⠀⠂⢲⣟⠋⠁⢥⣶⡴⣶⣶⠃⠇⢀⡯⣏⡍⣼⡀⠀⠀
⠀⣩⡉⠀⠀⠀⠀⠀⢘⡟⠂⠀⠀⢠⡄⢸⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠠⠀⠀⠀⠛⠂⠈⠁⠈⠁⠘⣿⣿⣿⣟⡇⢿⢿⢸⣿⣿⠀⠀⠈⣿⣿⡇⠀⠀⡂⣁⣀⠍⢥⣤⡄⢬⣼⣿⡿⣿⠀⠀⠈⣾⣿⣻⣿⠁⠀⠀
⠀⠤⠄⠀⠀⠀⠀⠀⢈⣭⡀⠀⠀⠀⠀⠘⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣿⡇⠀⠈⢨⣿⣷⡀⠀⠀⣻⣿⠃⠀⠀⢡⡿⢠⣴⣾⡝⠀⣿⣿⣹⣶⣶⡆⠀⠀⣿⣿⣿⠃⠀⡇⠀
⠀⣤⣤⡄⠀⠀⠀⠀⠘⣿⠏⠁⠀⠀⠀⠀⣀⣤⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣤⣤⣤⣤⣶⣦⣶⣾⣟⣿⣿⣳⣤⣶⣤⣽⣿⣛⣀⣦⡿⠃⠀⠀⠀⢨⠂⣴⣿⣿⠁⠀⣿⣯⣿⣿⢟⡇⠀⠀⣿⣿⡏⠀⡀⠃⠀
⠀⠉⠉⣁⣀⡀⠀⠀⠀⠈⠀⠀⢀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠟⠩⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⣿⡿⣿⠗⠂⠀⠀⡀⠀⠀⠀⠈⢁⣤⣀⣽⣉⣁⣑⢗⣁⣀⣀⣹⣋⡀⠀⠁⠀⠀
⠀⠀⠀⠛⠛⠁⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⡛⠛⣷⣤⣄⠀⠀⠃⠀⠀⠀⠀⠀⢀⠬⠭⠭⠉⠉⣉⠍⠡⠤⠀⠀⠀⠀⠀⠀⠀
⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡿⣾⣿⣿⣿⡿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢻⣯⣛⢛⢛⣭⣙⡻⣿⣿⣿⣿⣿⣿⣷⣄⠘⢿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⣀⠈⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀
⡝⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⡟⣿⠳⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡙⠛⠃⠀⠀⠀⣀⣀⣀⣀⡀⣀⡀⠀⠓⠀⠀⠤⠄⠀⠀⠀⠀⠀⠀⠀
⣤⣄⠀⠉⠀⠀⣔⡦⢀⣠⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣭⣥⣿⣿⣿⣿⣿⣿⣿⣻⠿⠿⠹⠇⠿⢸⣿⡿⣿⣿⡿⣿⣼⣿⡿⣿⠁⠀⠀⠀⠀⠀⠉⣿⣿⣿⡧⠄⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣷⢦⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠁⠉⠀⠀⠀⠀⢢⣾⡿⠂⢔⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⡿⣯⣝⢮⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠘⠻⢧⡌⠁⡐⠂⣀⡀⢀⢀⡀⣀⢀⠀⡀⡀⠀
⡛⢿⣮⡙⢷⡐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠉⠁⠀⠈⣹⣿⣿⣿⣿⣿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣔⣿⣷⣶⠶⣾⣿⣿⣿⣿⣾⣽⠽⢫⢵⣶⣷⣾⣿⣷⣿
⣿⣦⠉⠋⢆⠻⣜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣆⠀⠀⠀⠀⠀⢬⣿⣿⣿⣿⠫⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠊⣲⣏⣉⣉⣩⣿⣿⣿⣦⣶⣼⣾⣼⣶⣾⣿⣿
⠈⠁⠀⠀⠁⡣⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠈⠙⠿⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣤⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢤⠀⠀⣄⠀⣠⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣦⣤⣤⣤⣤⣀⣀⣀⣈⣉⣁⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣤⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠓⠜⢛⡛⠛⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣀⠀⢶⡆⠁⠀⠈⠀⣠⠘⠀⣶⡅⠉⠛⠃⣿⣿⠘⣿⡇⢻⣿⠸⣿⡆⢿⣆⢻⣂⠳⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡯⠀⠈⠁⠀⠀⠀⠀⠛⠀⠀⠉⠀⠨⠇⡀⠉⠿⠀⠛⠁⠘⠛⠀⠛⠃⠺⠇⠸⡏⠀⠀⠀⠿⠀⠙⠃⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠤⠤⠤⠤⠤⠤⣄⠐⢒⠒⠒⠒⠒⠒⠒⣷⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⢲⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢠⣾⣿⣿⣿⣿⣿⣿⣴⣷⣦⣀⠀⡈⣿⢀⡶⡀⢲⡆⢰⣦⢰⣶⠐⣤⠰⣆⠀⡄⠀⡀⠠⢀⡀⢠⡀⢀⡀⣀⠀⠈⠃⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⢿⣿⣿⣿
⠀⢸⣿⣿⣿⣿⡏⣤⣄⠀⠀⠀⠀⠀⠀⢻⠘⢰⡇⢸⣷⠀⣿⠂⢷⠆⢱⡆⢳⡆⢸⡇⢹⡇⠺⠇⠘⠃⠘⠃⠸⠁⠺⢀⣾⣿⡿⢿⣿⣿⣿⣿⡉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⡿⣤⡸⣿⣿⣿
⠀⣬⡭⠉⠉⠉⠙⠀⢠⠀⠀⠀⠀⠀⠀⢸⠀⠘⠃⠈⠉⠀⠉⠀⠈⠀⠈⠁⠈⠁⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡀⠀⣈⣿⣿⢷⠾⠟⠛⠛⣿⣣⠒⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⢿⣿⣿⡿⡇⠁⠈⣿⣼⣿⢏⡀⡆⠀
⠀⢠⣤⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⢉⡉⠉⢁⡀⢀⡀⢀⡀⢀⡄⢠⡂⣃⠙⢩⣎⡀⡳⣶⢀⠿⠟⡂⠀⠀⠀⠀⠂⢲⡟⠋⠈⢤⣶⣴⣶⣶⠃⡇⢀⡯⣏⡍⣼⡀⠀⠀
⠀⣭⠍⠀⠀⠀⠀⠀⢘⡟⠃⠀⠀⢠⠀⢸⠀⠀⠀⠀⠀⠀⠂⠀⠄⠀⠀⠀⠀⠀⠀⠛⠂⠈⠁⠈⠁⠹⣿⣿⣿⣟⡆⢿⢿⢸⣿⡟⠀⠀⠘⣿⣿⡇⠀⠀⡒⣁⣀⠌⢥⣤⠆⢤⣼⣟⣿⣿⠀⠀⠈⣾⣿⣹⣿⠁⠀⠀
⠠⠤⠄⠀⠀⠀⠀⠀⢈⣥⡄⠀⠀⠀⠀⠸⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⢸⣿⣧⡀⠀⠀⣻⡿⠁⠀⠀⢠⡿⢀⣴⣞⡏⠀⣿⣿⣽⣶⣶⡆⠀⠀⣿⣿⣿⠃⠀⠃⠀
⠀⣤⣤⡀⠀⠀⠀⠀⠘⣿⠍⠁⠀⠀⠀⠀⣀⣤⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣤⣤⣤⣤⣶⣦⣶⣾⣟⣿⣿⣷⣦⣶⣤⣽⣿⣓⣠⣦⡿⠁⠀⠀⠀⢨⠂⢸⣿⡿⡇⠀⣿⣯⣿⣿⢿⡇⠀⠀⣿⣿⡏⠀⡄⠀⠀
⠀⠉⢉⣀⣀⡀⠀⠀⠀⠈⠀⠀⢀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠉⠻⠙⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⢿⣻⡿⣿⠓⠒⠀⠀⡀⠀⠀⠀⠘⢀⣄⣀⣽⣉⣁⣑⢗⣃⣀⣀⣩⣉⠀⠀⠁⠀⠀
⠀⠀⠀⠛⠛⠁⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣬⡛⠛⣧⣄⣄⠀⠀⠃⠀⠀⠀⠀⠀⢀⠬⠭⡭⠉⠉⣉⠉⠥⠄⠀⠀⠀⠀⠀⠀⠀
⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡿⢾⣿⣿⣿⡿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⣿⣛⠛⢋⣭⣉⡻⣿⣿⣿⢿⣿⣿⣷⠄⠘⢻⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠈⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀
⡝⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⡿⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡙⠟⠃⠀⠀⠀⣀⣀⣀⣀⡀⣀⡀⠀⠃⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣄⠀⠉⠀⠀⢖⡠⢀⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣭⣥⣿⣿⣿⣿⣿⣿⣿⣻⠿⠿⠹⠇⠿⢸⣿⡿⣿⣽⡿⣿⣼⣿⡿⣿⠁⠀⠀⠀⠀⠀⠹⣿⠿⣿⠧⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣷⢤⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠁⠉⠀⠀⠀⠀⢲⣾⠾⠂⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⡿⣯⣝⢮⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⢿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠁⠀⠀⠐⠲⢇⡄⢀⠀⠀⠀⡀⣀⠀⡀⠀⠀⠀⠀⠀⠀
⡛⢿⣮⡙⢷⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠉⠉⠀⠈⣹⣿⣿⣿⣿⣿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢠⣤⣿⣷⣶⡶⢹⣿⣿⣿⣿⡶⡗⣒⠻⢶⠷⡶⢾⣿⣶⣶
⣿⡦⠉⠈⢄⠛⣘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡄⠀⠀⠀⠀⠀⢸⣿⣿⣿⡿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠁⣰⣍⣉⣉⣩⣿⣿⣯⣦⣶⣦⣤⣴⣶⣶⣿⣿
⠈⠀⠀⠀⠈⡣⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠈⠛⠿⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣤⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢤⠀⠀⣆⠀⣠⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣦⣤⣤⣤⣄⣀⣀⣈⣉⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠓⠜⠛⡛⠛⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣀⠀⢾⡆⠃⠀⠈⠀⣤⠘⠀⣿⠁⠉⠛⠃⣿⣿⠘⣿⡇⢻⣿⠘⣿⡆⢻⣆⢿⡇⠓⠀⠈⠂⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡯⠀⠈⠁⠀⠀⠀⠀⠙⠀⠀⠉⠀⠨⠇⡀⠉⠟⠀⠛⠁⠘⠛⠀⠛⠃⠺⠇⠸⡏⠀⠀⠀⠿⠀⠛⠃⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠤⠤⠤⢤⡔⠒⣒⠒⢒⡒⠒⠒⠒⠒⢒⣷⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⢲⣦⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢠⣶⣿⣿⣿⣿⣿⣧⣤⣷⣤⢀⠀⡉⣿⢀⡶⡀⢶⡆⢲⣆⢰⣶⠐⡤⠰⡄⠀⣀⠀⡀⠠⢀⡀⢠⡀⣠⡀⣀⠀⠈⠋⢹⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⢿⣿⣿⣿
⠀⣿⣿⣿⣿⣿⡏⣤⡄⠀⠀⠀⠀⠀⠀⢻⠸⢰⡇⢸⡷⠀⣿⠀⣿⠆⢵⡆⢹⡆⢹⡇⢹⡇⠸⠇⠘⠃⠘⠃⠹⠀⠛⢀⣾⣿⡿⣿⣿⣿⣿⣟⡉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⠷⣤⡸⣿⣿⣿
⠀⣭⡍⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠈⠁⠈⠉⠀⠉⠀⠉⠀⠈⠁⠈⠁⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⡀⠀⣸⣿⣿⣷⠿⡟⡟⢛⣿⣓⠒⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⢿⣿⣿⡿⠁⠀⠘⣿⣼⣿⢏⡀⠄⠀
⠀⢠⣤⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠈⠈⠉⠉⠉⠉⠉⠉⠉⠉⢉⡉⠁⢀⡀⢀⡀⢀⡀⢀⡄⢠⡂⡃⡙⢉⣩⡀⡷⡇⢀⠿⠏⡀⠀⠀⠀⠐⠀⢲⡟⠋⠈⢤⢶⣴⣶⣶⠃⡇⢀⡯⣋⡍⣼⡀⠀⠀
⠀⢩⠁⠀⠀⠀⠀⠀⢘⡟⠋⠀⠀⢠⠀⢸⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠛⠂⠈⠁⠈⠁⠹⣿⣿⡿⣻⠄⢿⠿⢺⣿⡿⠀⠀⠈⣿⣿⡇⠀⠀⡒⣁⡁⠈⢡⣤⠂⣦⣼⣟⣿⣿⠀⠀⠈⣾⣿⣽⡿⠁⠀⠀
⠀⠤⠄⠀⠀⠀⠀⠀⢨⣥⡄⠀⠀⠀⠀⢸⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣾⣿⡄⠀⠀⢸⣿⣧⡠⠀⠀⣹⡿⠁⠀⠀⢸⡟⢀⣤⣾⡟⠀⣿⣿⣽⣶⣶⡆⠀⠀⣿⣿⣿⠃⠀⠁⠀
⠀⣤⣤⡀⠀⠀⠀⠀⠘⣿⠏⠁⠀⠀⠀⠀⣀⣤⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣤⣤⣤⣤⣶⣦⣶⣾⣟⣿⣿⣶⣦⣶⣬⣽⣿⣓⣠⣦⠟⠁⠀⠀⠀⡨⠂⣼⣿⡇⠂⠀⣿⣯⣿⣿⢿⡇⠀⠀⣿⣿⠏⠀⠄⠀⠀
⠀⠉⢉⣀⣀⡀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠛⠛⠉⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⢿⣟⡿⣿⠓⠂⠀⠀⡀⠀⠀⠀⠈⢁⣄⣀⣼⣉⣉⣑⢆⣁⣀⣀⣹⣋⠀⠈⠀⠀⠀
⠀⠀⠀⠛⠋⠁⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣬⡛⠛⣧⣄⣄⠀⠀⠃⠀⠀⠀⠀⠀⢠⡬⠭⡭⠉⠉⣉⠉⠥⠄⠀⠀⠀⠀⠀⠀⠀
⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡿⢾⣿⣿⣿⡿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣻⣿⣻⣿⢻⣯⣛⠛⢋⣭⣙⡻⣿⣿⣿⢿⣿⣿⣷⡄⠈⢿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠈⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀
⡝⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⡟⣿⠳⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡙⠛⠀⠀⠀⠀⣀⣀⣀⣀⡀⣀⡀⠀⠃⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀
⣤⡄⠀⠉⠀⠀⢒⡠⠤⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣭⣥⣿⣿⣿⣿⣿⣿⣿⣻⠿⠿⠹⠇⠿⢸⣿⡿⣿⣽⡿⣿⣼⣿⡿⣿⠁⠀⠀⠀⠀⠀⠹⣿⡿⣿⠧⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣷⢤⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠁⠉⠀⠀⠀⠀⢲⣿⠗⠀⢄⡀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⡿⣯⣝⢮⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠁⠀⠀⠐⠲⢦⡀⠀⠀⠀⢀⢀⠀⢀⡀⠀⠀⠀⠀⠀⠀
⡛⢿⣮⡙⠷⡑⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⠉⠀⠀⠀⠹⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣿⠷⠶⠖⣻⣿⣿⣿⣾⡗⠖⠆⠍⢺⣶⠶⢾⣿⣷⣶
⣿⢦⠉⠈⢀⠛⣘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⡂⠀⠀⠀⠀⠀⢸⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠐⣴⣍⣉⣉⣹⣿⣿⣴⣶⣤⣾⣥⣥⣴⣶⣿⣿
⠈⠀⠀⠀⠀⡡⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠈⠛⠻⢿⣿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⣄⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢦⠀⠀⣂⠀⣰⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣤⣤⣤⣤⣄⣀⣈⣉⣀⣀⡀⠀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠃⠜⢛⡛⠻⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣀⠀⢾⡆⠃⠀⠈⠀⣤⠘⠀⣿⠃⠉⠛⠃⣿⣿⠘⣿⡇⢿⣿⠘⣿⡆⢻⣆⢿⡇⠓⠀⠈⠂⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡯⠀⠈⠁⠀⠀⠀⠀⠙⠀⠀⠉⠀⠨⠇⡀⠉⠿⠀⠛⠁⠘⠛⠀⠛⠃⠺⠇⠸⡏⠀⠀⠀⠿⠀⠛⠃⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠤⠤⠤⢤⠔⢒⣒⠒⣒⠒⠒⠒⠒⠒⢒⣷⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⢲⣦⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢀⣾⣿⣿⣿⣿⣿⣧⣤⣴⣤⣄⠀⡉⣿⠀⡶⡀⢶⡆⢰⣆⢰⣦⠰⣆⠰⡄⠀⢄⠀⡀⠠⢀⡀⢠⡀⣀⡀⣀⠀⠈⠋⢹⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⢿⣿⣿⣿
⠀⣿⣿⣿⣿⣿⡏⣤⡄⠀⠀⠀⠀⠀⠀⢿⠸⢰⡇⢸⡷⠀⣿⠈⣿⠆⢵⡆⢻⡆⢹⡇⢹⡇⠸⠇⠘⠃⠘⠃⠹⠀⠛⢠⣾⣿⡿⣿⣿⣿⣿⣟⡉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⠿⣤⡸⣿⡿⣿
⠀⣽⡍⠉⠉⠉⠙⠀⢀⠀⠀⠀⠀⠀⠀⢸⠀⠈⠁⠈⠉⠀⠉⠀⠉⠀⠈⠁⠈⠁⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡀⠀⣸⣿⣿⢷⢿⡟⡟⠛⣿⣓⠒⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⢿⣿⣿⡿⡁⠁⠘⣿⣼⣿⢏⠀⡆⠀
⠀⢠⡤⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⢉⡉⠁⢀⡀⢀⡀⢀⡀⢀⡀⢠⡃⣃⠛⢁⣩⡀⠓⡇⢀⠿⠏⡀⠀⠀⠀⠀⠀⢺⡟⠋⠈⢤⣶⣴⣶⣶⠃⡇⢀⡧⣋⡍⣼⡀⠀⠀
⠀⢩⠁⠀⠀⠀⠀⠀⢘⡛⠋⠀⠀⢠⠀⢸⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠂⠈⠁⠈⠁⠹⣿⣿⡿⣾⠄⢿⢾⢸⣿⡿⠈⠀⠈⣿⣿⡇⠀⠀⡒⣁⣀⠉⢁⣤⠂⣤⣼⣿⣿⣿⠀⠀⠈⣾⣿⣹⡿⠁⠀⠀
⠀⠤⠄⠀⠀⠀⠀⠀⢈⣥⡄⠀⠀⠀⠀⠸⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣾⣿⡄⠀⠀⢸⣿⣧⡀⠀⠀⣹⡿⠁⠀⠀⢰⡗⢀⣤⡾⠏⠀⣿⣿⣽⣶⣶⡆⠀⠀⣿⣿⣿⠃⠀⠁⠀
⠀⣤⣤⡀⠀⠀⠀⠀⠘⣿⠏⠀⠀⠀⠀⠀⣀⣤⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣤⣤⣤⣤⣶⣦⣶⣾⣟⣿⣿⣶⣦⣶⣤⣽⣿⣓⣠⣦⠿⠁⠀⠀⠀⡨⠂⣼⣿⡟⠄⠀⣿⣯⣿⣿⢿⡇⠀⠀⣿⣿⠏⠀⠄⠀⠀
⠀⠉⢉⣀⣀⡀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠙⠛⠹⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⡿⣿⣿⢿⣟⡿⣿⠓⠂⠀⠀⡀⠀⠀⠀⠀⢀⣄⣀⣼⣉⣁⣑⢆⣃⣀⣀⣩⣉⠀⠈⠀⠀⠀
⠀⠀⠀⠛⠋⠁⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⡛⠛⣧⣄⣄⠀⠀⠃⠀⠀⠀⠀⠀⢠⡬⠭⠭⠉⠉⣉⠍⠡⠄⠀⠀⠀⠀⠀⠀⠀
⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡿⣾⣿⣿⣿⡿⣿⣿⣿⣷⣿⣭⣿⣽⣻⣿⣻⣿⣿⣿⢻⣯⣛⠛⢋⣭⣙⡻⣿⣿⣿⣿⣿⣿⣷⡄⠘⢿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀
⠝⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⡟⣿⠳⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡙⠛⠁⠀⠀⠀⣀⣀⣀⣀⡀⣀⡀⠀⠃⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀
⣤⡄⠀⠉⠀⠀⢒⡠⢄⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣭⣥⣽⣿⣿⣿⣿⣿⣟⣻⠿⠿⠹⠇⠿⢸⣿⡿⣿⣿⡿⣿⣼⣿⡿⣿⠁⠀⠀⠀⠀⠀⠩⣿⣿⣿⠧⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣷⢤⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠁⠉⠀⠀⠀⠀⢲⣿⠗⠀⢤⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⡿⣯⣝⢮⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠁⠀⠀⠐⠲⢦⡄⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀
⡛⢿⣮⡙⢷⡙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠋⠉⠁⠀⠀⢹⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⣠⣄⢿⠷⢶⠖⢻⣿⣿⣷⣿⣟⠒⠦⠔⠺⠶⠶⣾⣿⣶⣶
⣿⠦⠉⠈⢄⠛⣘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⠀⠀⠀⠀⠀⢨⣿⣿⣿⡿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠐⠀⣸⣍⣉⣉⣹⣿⣷⣴⣦⣦⣾⣥⣤⣶⣶⣿⣿
⠈⠁⠀⠀⠀⡣⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⣄⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢆⠀⠀⣂⠀⣰⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣤⣤⣤⣤⣤⣄⣀⣈⣉⣀⣀⡀⠀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠃⠜⠛⡛⠛⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣀⠀⢿⡆⠃⠀⠈⠀⣤⠘⠀⣾⠁⠃⠛⠃⣾⣿⠘⣿⡇⢻⣿⠘⣿⡆⢻⣆⢻⡇⠓⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡯⠀⠈⠁⠀⠀⠀⠀⠙⠀⠀⠉⠀⠨⠇⡀⠨⠟⠀⠛⠀⠘⠛⠀⠛⠃⠺⠇⠸⡏⠀⠀⠀⠿⠀⠛⠃⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠤⠤⠤⢦⠒⡒⢒⢒⢒⡒⠒⠒⠒⠒⢒⣷⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⢲⣦⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⣠⣾⣿⣿⣿⣿⣿⣿⣶⣶⡤⡀⠄⡉⡗⠀⡶⡀⢶⡆⢰⣆⢰⣦⠰⣤⠰⡄⠀⣀⠀⣀⠠⣀⡀⣠⡀⣠⡀⣀⠀⠈⠃⢹⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⢿⣿⣿⣿
⠀⣿⣿⣿⣿⣿⡏⣴⡄⠀⠀⠀⠀⠀⠀⣿⠘⢰⡇⢸⡷⠀⣿⠀⣿⠆⢷⡆⢱⡆⢹⡇⢹⡇⠹⠇⠘⠃⠘⠂⠸⠀⠛⢠⣾⣿⡿⣿⣿⣿⣿⣟⡉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⠷⣤⡸⣿⡿⣿
⠀⣽⠏⠉⠉⠉⠁⠀⠠⠀⠀⠀⠀⠀⠀⢸⠀⠈⠁⠈⠉⠀⠉⠀⠉⠀⠈⠁⠈⠁⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⡀⠀⢸⣿⣿⣷⠿⡟⡟⢛⣿⣓⠒⠛⠛⠛⠛⠛⠛⣿⣿⣿⢿⠿⣿⣿⡿⠁⠁⠘⣿⣼⣿⢏⠀⡂⠀
⠀⢠⡤⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢉⣁⠀⢀⡀⢀⡀⢀⡀⢀⡄⢠⡃⡁⠛⢉⣉⠀⠷⡇⢀⠻⠏⡀⠀⠀⠀⠀⡀⢲⡛⠋⠈⢤⢶⣴⣴⣶⠃⠇⢀⣧⣛⡍⣼⡀⠀⠀
⠀⠉⠁⠀⠀⠀⠀⠀⢘⡛⠉⠀⠀⢠⠀⢸⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠂⠈⠁⠈⠁⠹⣿⣿⡿⣿⠄⢿⠿⢸⣿⡟⠀⠀⠈⣿⣿⡇⠀⠀⡒⣁⣁⠍⢥⣤⠀⣤⣼⣿⣿⣿⠀⠀⠈⣾⣿⣹⡿⠡⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢨⣥⡄⠀⠀⠀⠀⢸⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣾⣿⡇⠀⠀⢸⣿⣧⡀⠀⠀⣹⡿⠙⠀⠀⢸⡿⢁⣴⣾⡟⠀⣿⣿⣼⣶⣶⡆⠀⠀⣿⣿⣿⠃⠀⠁⠀
⠀⣤⣤⠀⠀⠀⠀⠀⠘⣿⠉⠀⠀⠀⠀⢀⣀⣤⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣤⣤⣶⣦⣶⣾⣿⣿⣿⣶⣶⣶⣬⣽⣿⣓⣠⣦⡟⠁⠀⠀⠀⡨⠂⣼⣿⣟⠀⠀⣿⣯⣿⣿⢿⡇⠀⠀⣿⣿⠇⠀⠄⠀⠀
⠀⠈⢉⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡏⠋⠩⠋⠉⠛⠛⠛⢿⣿⣿⣿⣿⣿⣿⡿⣿⣿⠿⣛⡿⣿⠓⠂⠀⠀⡀⠀⠀⠀⠉⢁⣄⣀⣼⣁⣉⣱⢆⣁⣀⣀⣛⣉⠀⠈⠀⠀⠀
⠀⠀⠀⠛⠉⠁⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣬⡛⠛⣧⣄⡄⠀⠀⠃⠀⠀⠀⠀⠀⢠⠤⠭⡭⠉⠉⣍⠍⠥⠄⠀⠀⠀⠀⠀⠀⠀
⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡿⢾⣿⣿⣿⡿⣿⣿⣿⣿⣾⣭⣿⣽⣻⣿⣻⣿⣿⣿⢻⣯⣛⠛⢉⣭⣙⡻⣿⣿⣿⣿⣿⣿⣷⠀⠉⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀
⠝⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⡟⣿⠳⣿⣷⣿⣿⣿⣴⣶⣄⣤⣬⡙⠛⠀⠀⠀⢀⣀⣀⣀⣀⡀⣀⡀⠐⠃⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀
⣤⡀⠀⠉⠀⠀⢒⡄⢤⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣭⣵⣽⣿⣿⣿⣿⣿⣟⡻⠿⠿⠹⠇⠿⢸⣿⡿⣿⣽⡿⣿⣼⣿⡿⣿⠁⠀⠀⠀⠀⠀⠙⣿⠿⣿⠧⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣷⢦⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠁⠉⠀⠀⠀⠀⢲⣿⠗⠀⢂⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣽⡿⣯⣝⢮⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠁⠀⠀⠐⠳⠤⠀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡛⢿⣮⡙⠷⡙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠉⠉⠈⠀⠀⢸⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣿⢷⠶⡶⣿⣿⣿⣿⣿⡻⠮⡏⠩⡞⡷⠶⣾⣿⣶⣶
⣿⠦⠉⠈⢀⠛⣘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠑⠠⢰⣉⣉⣉⣩⣿⣷⣥⣦⣤⣤⣤⣴⣶⣶⣿⣿
⠀⠁⠀⠀⠀⡢⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠈⠛⠿⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⣤⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢆⠀⠀⣂⠀⣰⠯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣤⣤⣤⣤⣤⣀⣀⣉⣀⣀⡀⠀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠃⠜⢋⡛⠻⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣄⠀⣿⡇⠃⠀⠈⠀⣴⠈⠀⣿⠀⢀⡉⠁⢿⣿⢈⣿⠇⢻⣿⠘⣿⡌⢻⡆⢿⣇⠓⠀⠈⣀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠗⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠘⠃⡀⠘⠛⠀⠉⠀⠘⠋⠀⠛⠀⠛⠃⠸⠇⠀⠀⠀⠛⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠒⠒⠒⣒⣒⣒⣒⣒⣒⡒⠒⠒⠒⠒⣻⡿⠛⠛⠛⠛⠛⠛⠛⠛⠚⠛⠛⠛⠛⠒⠒⠒⠒⠒⠒⠒⠒⠐⠂⠀⠀⠀⢺⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿
⠀⣼⣿⣿⣿⣿⣿⣿⡿⠾⠿⠶⠤⠄⠈⡇⠀⡾⠀⢿⡆⢱⢇⠺⣷⠰⡦⠰⣆⠀⣦⠀⣄⠰⣀⡀⢤⡄⣤⠀⣤⠀⠈⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠑⢿⣿⣿⣿
⠀⣿⣿⣿⣿⣿⡇⣶⡆⠀⠀⠀⠀⠀⠀⡇⠸⢲⡇⢸⣗⠀⣿⠀⣿⠀⢷⠆⢹⡇⠹⠇⠹⠇⠸⠃⠘⠃⠘⠂⠛⠀⠟⢠⣿⣿⡿⣿⣿⣿⣿⣿⡈⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⢷⣤⡺⣿⠿⠿
⠐⠾⠖⠀⠁⠀⠈⠀⠠⠀⠀⠀⠀⠀⠀⢃⠀⠈⠁⠈⠀⠀⠀⠀⠀⠀⠉⢀⠀⣀⣀⣀⣀⣀⣀⣀⣀⢀⠀⠀⠀⠀⠀⣸⣿⡿⢿⢿⡟⡟⢻⣿⣝⠓⠛⠛⠛⠛⠛⢛⣿⣿⣿⠿⠿⠿⠿⢿⠀⠀⠘⣿⣼⡿⢏⠀⠀⠀
⠀⣰⣆⠀⠀⠀⠀⠀⢠⣤⠀⠀⠀⠀⠀⢸⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⢀⣀⠀⢠⡀⣠⡀⣠⡄⢀⣄⢰⠝⡁⡉⢱⣨⢀⠟⠇⢸⡯⢏⠀⠀⠀⠀⠀⠄⣺⡟⠃⠈⢶⢶⣶⣴⣾⠑⠇⢠⢗⣫⣍⣼⣀⠀⠀
⠀⡤⠀⠀⠀⠀⠀⠀⢽⡿⠅⠀⠀⢰⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠈⠛⠀⠈⠁⠈⠁⠸⣿⣿⠿⣾⠄⢟⠟⢸⣿⡟⠀⠀⠨⣿⣿⢇⠀⠀⢈⡁⡠⠀⢠⣤⠂⣦⣾⣿⠿⣿⠀⠀⢺⣿⣿⣽⡿⠠⠀⠀
⠒⠒⡒⠀⠀⠀⠀⠀⢠⣤⠄⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠄⠀⠈⢸⣿⣷⡀⠀⠀⣽⡟⢸⠀⠀⢸⠟⢀⣴⣿⡏⢀⣿⣿⣼⣶⣶⡆⠀⢸⣿⣿⡿⠁⠀⠀⠀
⠀⣶⣦⠀⠀⠀⠀⠀⠸⣿⠁⠀⠀⠀⠀⢀⣤⣴⣶⣾⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣷⣾⣿⣾⣿⣿⣶⣶⣶⣶⣽⣿⣓⣰⣶⠛⠁⠀⠀⠀⠔⠂⢾⣿⡿⠂⢸⣿⣧⣿⣿⣯⡆⠀⠸⣿⣿⠃⢀⠀⠀⠀
⠀⠀⢠⣤⣤⡄⠀⠀⠀⠀⠀⠀⠤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣛⠙⠋⠉⠉⢉⣹⣿⣿⣿⣿⣿⣿⣿⠿⡿⠿⢿⣿⣻⡿⠛⠂⠀⠀⠀⠀⠀⠀⠈⢠⢄⣠⣾⣤⣤⣤⣀⣁⣀⣀⣯⣉⠀⠈⠀⠀⠀
⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣬⠛⠛⣶⣤⡄⠀⠀⠁⠀⠀⠀⠀⠀⡠⠤⢬⠭⠉⠉⣬⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡿⣾⣿⣿⣿⡿⣿⣿⣿⣿⣿⣯⣿⣿⣻⣿⣻⣿⣿⣿⢿⣯⣛⠛⢋⣭⣙⡻⣿⣿⣿⢿⣿⣿⣷⣄⠙⢿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡄⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀
⠍⠙⠀⡀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣷⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣬⡙⠛⠀⠀⠀⠀⣀⣀⣀⣀⡀⣀⡀⠈⠃⠀⠠⠤⠀⠀⠀⠀⠀⠀⠀⠀
⣶⣄⠀⠀⠀⠰⠶⢄⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣭⣥⣽⣿⣿⣿⣿⣿⣟⡻⠿⠿⠹⠇⠿⢸⣿⡿⣿⣿⡿⣿⣼⣿⡿⣿⠁⠀⠀⠀⠀⠀⠹⣿⡿⡿⠦⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣷⡶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠁⠉⠀⠀⠀⠀⢰⣿⠟⠀⢀⡂⠈⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⡿⣧⣝⠮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⢿⣿⣿⣿⣿⣿⣿⣿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⡀⠀⠘⠻⣦⣜⡀⠀⢀⡀⣀⡀⣀⡀⠀⠀⠀⡀⠀⠀
⡙⢿⣦⡙⢷⡙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⠉⠀⠀⠀⢸⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢤⣦⣿⠷⡶⢖⢻⣿⣿⣿⣿⠇⠖⢜⠑⢾⡷⠶⣾⢿⣿⣾
⣿⠢⠈⠀⣄⠹⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣠⠀⠀⠀⠀⠀⢸⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠂⣾⣍⣉⣉⣽⣿⣿⣷⣦⣶⣶⣷⣶⣶⣾⣿⣿
⠈⠀⠀⠀⠀⠇⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠈⠉⠻⠿⢷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣦⣤⣤⣤⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢆⠀⠀⣂⣀⣼⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣌⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⣀⣀⣀⣀⣤⣤⣤⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠃⠼⢉⡙⠳⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣄⠀⣿⡇⠁⠀⠀⠀⣶⠀⠀⣿⠀⢠⡉⠁⢾⣿⢨⣿⠇⢻⣿⠘⣿⡎⣻⡆⢻⣆⠓⠀⠈⣀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠗⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠐⠁⡄⠘⠃⠀⠉⠀⠈⠉⠀⠙⠀⠛⠃⠸⠇⠀⠀⠀⠛⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠒⠒⢒⣲⣆⣬⣭⣉⣩⠉⢉⠉⠉⠉⣹⡿⠉⠉⠉⠉⠉⠉⠉⠉⠙⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢹⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿
⠀⣼⣿⣿⣿⣿⣿⠿⠿⠿⠿⠷⠤⠄⠌⡇⠂⡿⡀⢻⡆⢹⣧⠺⣷⠸⡦⠸⡆⠀⣦⡀⣄⡰⣤⡠⢶⡄⢤⠀⣤⠀⢈⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡉⠓⢿⣿⣿⣿
⠀⣿⣿⣿⣿⣿⡇⠾⠆⠀⠀⠀⠀⠀⠀⡇⠘⢻⡇⢸⣟⠀⣿⠀⣿⠀⣿⠆⢹⡇⠹⠇⠹⠇⠘⠃⠈⠁⠘⠁⠙⠀⠟⢰⣿⣿⠟⣿⣿⣿⣿⣯⡄⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢽⣿⢿⣤⡘⠿⠿⠿
⠐⠶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣁⠀⠈⠀⠀⠀⠀⣀⣀⣀⣀⣈⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠤⠤⠤⠄⡀⣸⣿⣿⣿⠛⡋⡏⢹⣯⣍⠙⠉⠉⠉⠉⠉⠉⣿⣿⢿⠿⠿⠿⠿⢿⡀⡀⠈⡿⣼⣿⢯⠀⠀⠀
⢀⣲⣆⠀⠀⠀⠀⠀⢠⡤⠄⠀⠀⠀⠀⢸⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⠀⢤⡄⢤⡄⣠⣄⣠⣄⢰⠍⣥⡉⢠⢠⣠⠟⡇⢸⣉⣉⠀⠀⠀⠀⠈⡁⣻⡟⣁⠀⢶⢷⣾⣶⣶⠉⠇⢰⢗⣢⣅⣾⣄⠀⠀
⠀⠆⠀⠀⠀⠀⠀⠀⢹⡏⠁⠀⠀⠰⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠸⣿⣿⢿⣿⠄⠿⢟⢸⣿⡟⠀⠀⠸⣿⣿⣇⠀⠀⢁⡭⠥⠀⣠⣶⠀⣦⣿⢿⠿⠿⠀⠀⢺⣿⣿⣽⡟⠀⠀⠀
⠀⠒⠀⠀⠀⠀⠀⠀⢰⣶⣀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠄⠀⠈⢸⣿⣷⡄⠀⠀⣽⡟⠸⠀⠀⢸⠏⢥⣶⣿⡋⢰⣿⣿⣾⣿⣾⡆⠀⢸⣿⣿⡿⠁⠀⠀⠀
⠠⣶⣶⠀⠀⠀⠀⠀⠈⠟⠀⠀⠀⠀⠀⣠⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣿⣷⣾⣯⣭⣿⣿⣶⣶⣿⣶⣾⣿⣭⣴⣷⡛⠀⠀⠀⠀⠔⠁⠾⣿⣯⠂⢸⣿⣧⣿⡿⣿⡆⠀⠸⣿⣿⠃⢀⠀⠀⠀
⠀⠀⢠⣤⣤⡄⠀⠀⠀⠀⠀⠀⠤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⣙⣙⣃⣈⣉⣉⣻⣿⣿⣿⣿⣿⣿⣿⢿⡿⠿⢿⣿⣛⡿⠉⠁⠀⠀⠀⠀⠀⠀⠀⠠⢤⣠⣾⣤⣤⣌⣩⣥⣄⣀⣬⠭⠀⠈⠀⠀⠀
⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣮⡛⠙⣷⣤⣄⠀⠀⠁⠀⠀⠀⠀⠀⠰⠶⠶⠦⠉⠉⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⡿⣾⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣽⣻⣿⣿⣿⣿⣿⢿⣯⣛⢛⢛⣭⣙⡻⠿⣿⡿⠿⣿⣿⣷⡄⠈⢿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢠⠄⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀
⠌⠉⢀⣀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣷⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⡟⣿⠳⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡙⠋⠀⠀⠀⠀⣄⣤⣄⣤⠀⣀⡀⠈⠁⠀⠠⠶⠀⠀⠀⠀⠀⠀⠀⠀
⣶⣄⡀⠀⠀⠰⢿⣆⣰⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣭⣥⣿⣿⣿⣿⣿⣿⣟⣻⠿⠿⠹⠇⠿⢸⣿⡿⣿⣻⡿⣿⣼⣿⡿⣿⠁⠀⠀⠀⠀⠀⠹⣿⢿⡿⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣲⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠁⠉⠀⠀⠀⠀⢷⡿⠛⠀⢶⢀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⡿⢷⣍⡫⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠮⢀⣀⠀⠘⠻⣶⣬⣈⣈⣀⢀⡀⡀⠠⢀⠀⠀⢀⣀⡀⢀
⣝⠻⣶⡝⢷⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠉⠉⠀⠀⠀⣺⣿⣿⣿⣿⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⣴⣾⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣷⡽⠞⠮⣿⢶⡿⢿⣿⣿
⢿⠧⠀⢀⢆⠹⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⢸⣿⣿⣿⡟⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠀⣿⣤⣩⣭⣽⣿⣻⣿⣶⣴⣿⣾⣾⣾⣿⣿⣿
⠀⠀⠀⠀⠠⠇⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⠀⠀⠀⠀⠀⠀⠉⠛⠿⠿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣶⣶⣦⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢦⠀⠀⣀⣠⡾⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠁⠼⣻⠙⠳⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣤⠀⣿⡇⠁⠀⠀⠀⣶⠀⠀⢿⠀⢠⡍⠁⣿⣿⠸⣿⠃⢹⣷⠈⣿⡎⣻⡆⢹⡇⠁⠀⠀⣤⠀⣤⡄⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠓⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠐⢁⣄⠘⠋⠀⠈⠀⠈⠁⠀⠉⠀⠙⠁⠘⠃⠀⠀⠀⠉⠀⠉⠀⠀⠀⠀⠀⠀⢀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠉⠉⣩⣭⣭⣭⣭⣭⡍⠉⢭⠉⠉⠉⣹⡏⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢹⡴⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿
⠀⣾⣿⣿⣿⣿⡿⠿⠿⠿⠟⠓⠂⠀⠀⡇⢊⡟⡀⢻⡆⢹⣣⠸⣷⠘⡧⠘⣇⠀⣤⡀⣦⡐⣤⡔⢶⡄⢴⠀⣤⠀⣀⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠈⢻⣿⣿⣿
⠀⣿⡿⣿⣿⣿⡇⠿⠇⠀⠀⠀⠀⠀⠀⡇⠘⢻⡇⢸⡟⠈⢿⠀⣿⠀⣻⠃⢸⠇⠸⠇⠸⠃⠘⠃⠈⠁⠈⠁⠉⠀⠋⢰⣽⣿⠟⣿⣿⣿⣿⣯⡄⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠷⢾⣿⢻⣦⡘⠿⠿⠿
⠉⠿⠋⠁⠀⠀⠀⠀⢐⠀⠀⠀⠀⠀⠀⢁⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠄⠠⠤⠤⠤⠤⠤⠤⠄⠀⣀⡼⣿⡿⢻⠛⡋⡏⢹⣿⣭⠉⠉⠉⠉⠉⠉⢉⣿⣿⢿⠻⠿⠿⠿⢿⡀⡀⠈⡿⣾⣿⣫⠀⠀⠀
⠀⠲⠆⠀⠀⠀⠀⠀⣠⣦⣀⡀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⠀⢤⡄⢤⡄⣰⣄⣠⣄⣸⠉⣤⣍⣠⣵⣠⠟⠇⢸⣛⣃⠀⠀⠀⠀⡈⠅⣹⣍⣁⠀⠶⣿⣾⣾⣿⠁⠃⢰⢗⣦⣀⣾⠄⠀⠀
⠀⠖⠀⠀⠀⠀⠀⠀⢸⠿⠂⠀⠀⠰⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠉⠀⠀⠀⠀⠀⠸⣿⣿⢟⣽⠀⠻⢻⢸⣿⡏⠀⠀⠘⣿⣿⢃⠀⠀⢡⡥⠄⠂⣲⣶⠀⣶⣿⢿⠿⠿⠀⠀⢸⣿⣿⣼⡟⠀⠀⠀
⠉⠉⠭⠀⠀⠀⠀⠀⣰⣶⣂⠀⠀⠀⠀⠸⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠄⠀⠀⢸⣿⣷⡄⠀⠀⣿⡟⠸⠀⠀⢸⠋⢠⣾⣿⠍⢠⣿⣿⣾⣿⣿⠇⠀⢸⣿⣿⡿⠀⠀⠀⠀
⠠⠷⣶⠀⠀⠀⠀⠀⠘⠿⠃⠀⠀⠀⠀⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣯⣭⣼⣷⡉⠀⠀⠀⠀⠔⠡⠾⢿⠏⠃⢸⢿⣷⡿⡿⠿⠇⠀⠸⣿⣿⠃⢀⠀⠀⠀
⠀⠀⢠⣤⣤⡄⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣍⣍⣉⣁⣉⣉⣉⣙⣿⣿⣿⣿⣿⣿⣿⣛⠿⠿⢻⣽⣟⠿⠉⠁⠀⠀⠀⠀⠀⠀⠀⠠⠦⣤⣿⣤⣤⣼⣥⣥⣄⡤⠭⠥⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣮⠍⠙⣷⣤⣆⠀⠀⠀⠀⠀⠀⠀⠀⠴⠶⠶⠖⠀⠀⣤⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀
⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⡿⣾⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⢿⣯⣛⠛⢛⣯⣙⡻⠿⡿⣿⠿⣿⣿⣿⣦⠈⢿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⢤⠄⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀
⠊⠉⢀⡀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣷⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⡟⣿⠳⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡉⠉⠀⠀⠀⠠⣤⣤⣄⣤⠀⣄⣀⠈⠁⠀⠀⠶⠀⠀⠀⠀⠀⠀⠀⠀
⣶⣄⡀⠀⠀⠸⣿⣖⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣭⣥⣽⣿⣿⣿⣿⣿⣟⣻⠿⠿⠹⠇⠿⢸⣿⡿⣿⣿⡿⣿⣼⣿⡿⣿⠁⠀⠀⠀⠀⡀⠘⢿⠿⠿⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣲⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠁⠉⠀⠀⠀⠀⢽⡿⠋⠀⢦⡄⢈⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣟⢷⣭⡳⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡟⠛⠿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⢀⣀⠀⠙⢻⣧⣧⣂⣡⠌⣄⣀⣀⣠⡀⣀⠀⣀⣀⣀⠀
⣍⠻⣷⡌⢳⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠅⠁⠀⠀⠀⠀⣼⣿⣿⣿⣿⡛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⣶⣾⣿⣿⠿⢛⢻⣿⣿⣿⣿⣿⡷⢷⢿⢿⡿⠿⠿⣿⣿⣿
⢿⠓⠈⠈⠦⠹⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⣾⣿⣿⣿⡿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠍⢂⣾⣤⣤⣭⣽⣿⣿⣿⣿⣷⣾⣶⣾⣾⣿⣿⣿
⠀⠀⠀⠀⠀⠃⢀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡀⠀⠀⠀⠀⠀⠙⠛⠻⠿⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢦⡀⠐⣁⣠⣾⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣴⣦⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⣤⣴⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠁⠼⣷⠟⠓⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡦⠀⠿⠇⠁⠀⠀⠀⣿⠀⠀⠿⠀⢠⡌⠀⢻⡿⠸⣿⠁⢹⣿⠈⣿⠆⣽⡇⢺⡆⠁⠀⠀⣤⠀⣶⠄⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣈⣀⣄⣈⣁⣀⣀⣀⣈⣁⣀⣉⣀⣉⣁⣘⣃⣀⣀⣀⣉⣀⣀⠀⡀⣀⣀⣀⣀⣀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠉⢉⣩⣭⣭⣭⣭⣭⣭⣉⣡⡤⠄⠀⢼⡏⢀⣀⠀⣀⠀⣉⡉⣉⡉⠉⠉⠉⠉⠉⠉⠉⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⢸⡼⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿
⠀⣾⣿⣿⣿⣿⡿⠛⠛⠛⠛⠛⠒⠂⠂⡇⢉⣟⡀⢻⡇⠻⣷⠙⣿⠘⣗⠸⣇⡐⣦⡄⣦⡸⢴⡔⢺⡂⢶⡀⣶⠀⣀⠀⣸⣿⣿⣿⣿⣿⣿⣿⢿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣁⠈⢻⣿⣿⣿
⠀⢿⠿⠿⠿⠿⠇⠿⠃⠀⠀⠀⠀⠀⠀⡇⠈⢹⡇⢸⠏⠀⠿⠀⠿⠀⣿⠃⠹⠇⠘⠃⠘⠃⠈⠁⠈⠀⠈⠀⠉⠀⠋⢸⣿⣿⢟⣿⣿⣿⣿⣷⣆⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⢺⣿⢻⣶⣜⠻⠛⠛
⠈⠛⠃⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⣧⣀⣀⣀⣀⣀⣀⣀⡀⠀⠤⠤⠤⠤⠤⠤⠤⠤⠤⠄⠀⠀⠀⠀⠀⠐⠂⣄⡼⣿⢿⣿⠩⡏⡇⢸⣷⣦⠉⠉⠉⠉⠉⠉⣉⣿⡿⢿⠛⡛⢛⠛⢻⡄⡀⠀⡿⣾⡟⢺⠀⠀⠀
⠠⠿⠧⠀⠀⠀⠀⠀⣰⣖⠂⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⡀⠀⠀⢰⣤⠀⠲⡄⠶⡆⢴⣆⣴⣦⣸⠊⣆⣀⢠⣴⣰⠋⠇⣸⣥⣥⡀⠀⠀⠀⣀⡄⠽⠏⠄⠀⠻⣿⣿⣿⣿⠀⠃⢸⣫⣽⣢⣿⠤⠀⠀
⠀⠛⠀⠀⠀⠀⠀⠀⠺⠿⠀⠀⠀⠚⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠘⣿⣿⣛⣿⠂⠻⢛⢸⣿⡏⠀⠀⠘⣿⣿⢣⠀⠀⢠⣤⠔⠀⣰⣾⠉⣷⣿⢿⠻⠛⠀⠀⢹⣿⣿⣾⡏⠀⠀⠀
⠈⠉⠁⠀⠀⠀⠀⠀⢰⣷⠦⠀⠀⠀⠀⠘⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⢀⡀⢀⣿⣿⣿⣷⠂⠀⠀⠸⣿⣿⣄⠀⠀⣾⠏⠸⠀⠀⠸⡋⢴⣾⣿⡇⢰⣿⡿⣿⣿⣿⠇⠀⢸⣿⣿⡟⠀⠀⠀⠀
⠐⠿⠿⠀⠀⠀⠀⠀⠈⠭⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣾⣿⣼⣼⣿⣍⠀⠐⠀⠀⠊⠑⠿⢿⡟⠁⢸⢿⠷⠿⢿⣿⡇⠀⠘⣿⣿⠁⢠⠀⠀⠀
⠀⠀⢰⣶⣶⠆⠀⠀⠀⠀⠀⠀⢒⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣥⣬⣁⣀⣀⣤⣬⣿⣿⣿⣿⣿⣿⣿⣛⣿⠛⢻⣿⣿⡿⠀⠀⠀⠀⡀⠀⠀⠀⠀⠰⠲⠴⢿⣶⣶⣶⢴⠦⠤⠤⠿⠖⠀⠀⠀⠀⠀
⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣍⠉⢷⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠘⠒⠲⠒⠀⠀⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⡿⣾⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⢿⣯⣛⠛⢋⣭⣛⡻⠿⠿⠿⠿⣿⢿⣿⠦⠌⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⢤⡆⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀
⠂⠀⠠⠤⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣷⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⡟⣿⠳⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡉⠉⠀⠀⠀⠠⢤⣤⣤⣤⠄⠄⢄⠈⠁⠀⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣦⡀⠀⠀⢘⣹⣦⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣭⣵⣿⣿⣿⣿⣿⣿⣟⡻⠿⠿⠹⠇⠿⢸⣿⡿⣿⣿⡿⣿⣼⣿⡿⣿⠁⠀⠀⠀⠀⣀⣘⠿⠿⠿⢓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⡿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠁⠉⠀⠀⠀⠀⢾⠿⠋⠀⢲⣀⡀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣟⠻⣮⡓⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⢿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⣠⡀⠉⢛⣷⣶⣒⣀⣀⣤⢀⣆⣔⢀⢀⣀⣀⣄⣀⣀
⣌⠻⠗⠌⢻⠌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠂⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⡯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠶⠿⣿⡿⠛⢙⣽⣿⣿⣿⣿⣷⢟⠫⠒⣿⣻⡿⢿⣿⣿⣿
⠿⠓⠀⠀⠣⡉⠚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡇⠀⠀⠀⠀⠀⢾⣿⣿⣿⣟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣾⣦⣤⣤⣾⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠐⠃⢀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⡀⠀⠀⠀⠀⠈⠙⠛⠻⠷⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢣⡀⠀⣀⢠⡾⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣤⣤⣤⣤⣄⣠⣄⣤⣠⣤⣤⣤⣤⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠁⠾⡷⠞⠓⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡇⠀⠛⠀⠃⠀⠀⠘⠛⠀⠀⠋⠀⢸⠂⠀⢸⡇⠘⠛⠀⠺⠇⠘⠿⠀⢿⠁⣿⠇⠀⠀⠰⠿⠀⠿⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⢼⡶⠤⠴⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⢴⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿
⠀⣰⣾⣿⣿⣿⣿⣿⣯⣤⣥⣄⣀⠀⢻⡇⣠⢦⠠⣤⠀⣴⡄⣦⡄⢤⡀⢤⡀⢠⡀⠀⠀⠄⠀⠀⣀⠀⣀⠀⡀⠀⠹⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠻⣿⣿⣿⣿
⠀⣿⣿⣿⣿⣿⢋⣭⡉⠉⠁⠀⠀⠀⠈⡇⠃⣿⡀⢽⡇⢹⣧⠸⣿⠈⣧⠘⣷⠌⣿⠘⣿⠸⣿⠀⠿⠀⠿⠀⠿⠀⡶⢠⣿⣿⣿⣿⣿⣿⣿⡟⠛⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣷⣦⡀⢾⣿⣿⣿
⢤⣿⠿⠛⠛⠛⠋⠉⣁⠀⠀⠀⠀⠀⠀⡇⠀⠛⠀⠘⠃⠈⠁⠀⠋⠀⠛⠀⠛⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣥⣿⡿⡿⢿⡿⡡⠼⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠉⢹⣿⣸⣿⠆⢹⠀⠉
⠈⣉⡀⠀⠀⠀⠀⠀⢐⡀⠀⠀⠀⠀⠀⡷⠀⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠂⠂⠀⠉⠉⠉⠉⡉⠉⢉⠉⢀⠀⢠⡸⠙⠟⢣⣏⢐⣧⡇⢸⣻⡇⠀⠀⠀⠀⠠⠀⢼⡿⠋⢙⣤⣌⣭⣭⣼⢰⡆⢸⠳⢟⠓⡞⠈⠀⠀
⢀⣉⠁⠀⠀⠀⠀⠀⣿⣿⡒⠀⠀⣀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⡄⠀⠀⠙⠷⠀⠙⠂⠛⠂⢿⣷⣾⣷⢿⠸⣷⣧⣷⣿⡾⠉⠁⢻⣶⣾⠀⠀⠀⠔⠒⢀⡛⣁⣠⢄⣍⣿⣿⣿⡟⠈⠠⢽⣾⣿⣾⡿⠁⠀⠀
⠤⠭⠤⠠⠀⠀⠀⠀⣛⣁⡀⠀⠀⠉⠀⠃⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣾⣟⠀⠀⠃⣾⣿⣇⠀⠀⢸⣿⡿⢰⠀⠘⢸⡟⣃⣴⣿⡏⢸⣿⡿⣿⣭⣥⡀⠀⢸⣿⣿⡿⠁⠀⠀⠀
⢀⣄⣁⠀⠀⠀⠀⠀⢻⣿⡒⠀⠀⠀⠀⠀⣀⣠⣤⣤⣶⣶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣠⣴⣿⣿⣿⣿⣤⣤⣤⣙⣻⡿⠦⣠⣼⠿⠁⢸⠀⠀⡪⢄⣾⣿⣿⠇⢸⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⠃⠀⢀⠀⠀
⠉⠛⠋⠀⢀⠀⠀⠀⠈⠉⠀⠀⢀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⡿⢿⡿⠻⠟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⠦⠄⠀⠀⠀⠁⠀⠉⠙⢁⡀⢈⡿⠋⠙⢩⠉⠀⠀⠸⡿⠋⠀⠸⠀⠀⠀
⠀⠀⠘⠛⠛⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣶⣯⣄⣸⡿⢷⣏⣀⠀⠀⠘⠀⠀⠀⠀⠀⠉⢉⣙⣛⣛⠛⠛⢛⠛⣋⡉⠉⠉⠀⠀⠀⠀⠀
⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡈⢻⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠃⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠳⠦⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣾⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⢛⣭⣉⡙⠿⠿⠿⠿⠻⠿⠿⠿⠀⠹⣿⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠹⠅⠀⢈⣉⠀⠀⠀⠀⠀⠀⠀⠀
⣠⠀⠐⠂⠀⢠⣤⣀⣀⣀⣸⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⡟⣿⠳⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣈⠓⠂⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣷⣦⣀⣠⣬⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣬⣭⣥⣿⣿⣿⣿⣿⣿⣟⡛⠿⠿⠹⠇⠿⢸⣿⡿⣿⣿⡿⣿⣼⣿⡿⣿⠁⠀⠀⠠⣤⣶⡬⢩⣩⠉⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣟⠾⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠁⠉⠀⠀⠀⠀⡟⠉⠀⠀⢿⣿⣆⣒⣠⡀⠠⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢿⣮⣙⢷⣌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠋⠋⠀⢙⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣉⣴⣶⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣧⣾⣾⣷⣶⣶
⣶⡍⠻⠢⡙⣎⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠿⣷⣯⣿⠛⠛⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠑⠀⠀⠐⢑⡈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⠀⠙⢻⣿⣿⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢠⡀⠀⢠⠈⠀⣰⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣤⣤⣀⣀⣀⣀⣈⡉⣙⡓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠳⠄⠀⣀⠺⢇⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠀⠿⠟⠻⠋⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡧⠀⠉⠁⠃⠀⠀⠈⠛⠀⠀⠉⠀⠸⠃⠀⠸⠏⠘⠛⠀⠸⠏⠀⠿⠀⠿⠃⢽⡃⠀⠀⠀⠿⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠐⠒⠒⠒⢺⡗⠒⠒⠒⠒⠒⠒⠒⠲⠲⠶⠲⠖⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⣺⢰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿
⠀⣰⣿⣿⣿⣿⣿⣿⣿⣶⣿⣥⣀⠀⢹⡇⡰⣦⠐⣶⡄⣶⡄⣶⣦⢰⡄⢤⡄⢠⡄⢀⡀⢀⣀⢀⣄⠀⣀⠀⣀⠀⠘⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠻⣿⣿⣿⣿
⠀⣿⣿⣿⣿⣿⣏⣤⡄⠀⠀⠀⠀⠀⠀⡇⠀⣿⡄⢹⡇⢸⣿⠀⣿⠀⣧⠈⣿⠆⣿⡆⣿⡜⠽⠅⠻⠂⠻⠀⠿⠀⡿⢠⣾⣿⡿⣿⣿⣿⣿⣟⡉⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⢷⣄⠺⣿⣿⣿
⢠⣭⡭⠉⠉⠉⠃⠉⢀⠀⠀⠀⠀⠀⠀⡇⠀⠛⠀⠈⠁⠈⠉⠀⠉⠀⠛⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⢸⣿⣿⣶⠿⡟⡟⢻⣟⡑⠺⠿⠻⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⢸⣿⣼⣿⢃⠀⠀⠀
⠀⣥⡄⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⣗⠒⠒⠒⠒⠒⠒⠂⠀⠀⠉⠉⠉⠉⠉⢉⠉⠉⣉⠁⣀⠀⢀⡀⢀⡀⢠⡹⡈⠛⠡⢎⢈⣷⡇⢸⠛⠃⠀⠀⠀⠀⠐⡂⢶⡟⠋⠈⣤⣦⣴⣤⣼⢳⡇⢸⣧⣍⢉⣼⡀⠀⠀
⢀⡉⠉⠀⠀⠀⠀⠀⣾⣟⠒⠀⠀⣤⠀⠻⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠂⠀⠀⠘⠛⠀⠘⠃⠙⠃⢻⣷⣿⡿⢺⠀⡿⣷⢾⣿⣿⠋⠁⢺⣿⣿⠄⠀⠀⠒⡒⡀⠉⢡⣥⢠⣌⣿⣿⣿⣿⠀⠀⢼⣿⣿⣼⡿⠀⠀⠀
⠤⠤⠤⠀⠀⠀⠀⠀⣈⣉⡀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣾⣿⡄⠀⠈⢺⣿⣧⠀⠀⠈⣿⡿⢸⠀⠀⢸⡟⣀⣴⣿⡟⢠⣿⣿⣾⣶⣶⡄⠀⢸⣿⣿⣿⠁⠀⠀⠀
⢠⣤⣤⠀⠀⠀⠀⠀⢸⣿⠂⠀⠀⠀⠀⢀⣀⣤⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣤⣤⣤⣤⣶⣦⣴⣿⣛⣿⣿⣤⣤⣶⣬⣿⣿⣓⣠⣦⠿⠁⢸⠀⠀⡨⠂⣼⣿⣿⠃⢸⣿⣿⣿⣿⣿⡆⠀⢸⣿⣿⠇⠀⠀⠀⠀
⠈⠉⢉⣀⣀⡀⠀⠀⠀⠉⠀⠀⣀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠟⠻⠿⠻⠛⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⠓⠀⠀⠀⠀⠀⠀⠈⠙⢋⣁⣈⣿⣉⣉⣛⣛⣂⠀⣈⣟⣋⠀⠘⠀⠀⠀
⠀⠀⠘⠛⠛⠁⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣤⣜⡿⠿⣧⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣭⣭⣍⠛⠙⡉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀
⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠹⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠀⢀⡀⠉⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀
⡛⠓⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣾⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⢛⢋⣭⣉⡛⠛⠟⠛⠛⠻⠿⠿⠿⠀⠘⠿⠿⠀⠀⠀⢀⡀⡀⠀⣀⠀⠀⠈⠘⠂⠀⢠⣤⠀⠀⠀⠀⠀⠀⠀⠀
⣤⡀⠈⠁⠀⢠⣤⣀⣀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⠀⠀⢹⣿⣿⣿⠥⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣦⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣬⣭⣥⣿⣿⣿⣿⣿⣿⣟⡛⠿⠿⠹⠇⠿⢸⣿⡿⣿⣽⡿⣿⣼⣿⡿⣿⠁⠀⠀⠀⣦⣶⠮⠙⣯⠁⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣝⡳⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠁⠉⠀⠀⠀⠀⡝⠁⠀⠀⠸⢿⣯⣒⣀⣄⢀⣀⣀⣀⢀⡀⠀⠀⠀⠀⠀⠀
⠻⣷⣍⠻⣎⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠋⠉⠈⠉⣿⣿⣿⣿⣿⣿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣽⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣷⣶
⣷⡌⠹⠱⡘⢧⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⡀⠀⠀⠀⠀⣻⣿⣿⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⠿⢿⣿⣉⣛⣛⣻⣿⣿⣿⣿⣿⣿⣿⣾⣭⣿⣿⣿
⠙⠀⠀⠈⢉⡄⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠙⠛⢿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣀⣄⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⡄⠀⠀⠀⠀⣸⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣤⣄⣀⣀⣀⣀⣈⣉⣉⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠹⠂⠀⣀⠘⢋⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠐⠿⠛⠻⢃⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠧⠀⠉⠁⠁⠀⠀⠀⠙⠀⠀⠉⠀⠸⠃⡀⠸⠏⠀⠙⠀⠘⠋⠀⠛⠀⠛⠃⠸⠇⠀⠀⠀⠛⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠒⠒⠒⣒⣒⣒⣒⣒⣒⡒⠒⠒⠒⠒⣺⡟⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⢺⣴⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⣴⣿⣿⣿⣿⣿⣿⣿⣷⡿⠦⠀⠀⠙⡇⠔⣶⠐⣷⡄⣿⢆⢾⣧⠰⣦⢰⣆⠰⣄⠀⣀⠠⣀⡀⣤⡀⣤⠀⣀⠀⠈⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠑⢿⣿⣿⣿
⠀⣿⣿⣿⣿⣿⡇⣴⡆⠀⠀⠀⠀⠀⠀⡇⠘⣷⡆⢸⡇⢘⣿⠀⣿⠀⣷⠆⢻⡆⢹⡇⠻⠇⠹⠇⠘⠃⠘⠂⠛⠀⠟⢠⣿⣿⡿⣿⣿⣿⣿⣟⡉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⢷⣤⡸⢿⠿⢿
⠐⣿⡟⠉⠉⠉⠁⠀⠠⠀⠀⠀⠀⠀⠀⡇⠀⠉⠁⠈⠁⠀⠀⠀⠉⠀⠉⠁⠈⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⣸⣿⣿⣿⢿⡟⡟⢻⣿⣝⠒⠛⠛⠛⠛⠛⠛⣿⣿⣿⠿⠿⠿⠿⢿⡁⠁⠸⣿⣼⡿⢏⠀⠂⠀
⠀⣤⡄⠀⠀⠀⠀⠀⣈⣤⠀⠀⠀⠀⠀⢿⠀⠈⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢀⣀⠀⣀⡀⣠⡀⢠⡀⢀⡀⢰⠝⡁⡙⢑⣫⢀⣿⡇⢸⡿⠏⠀⠀⠀⠀⠀⡀⣻⡟⣃⠘⣶⣶⣴⣴⣾⠁⠇⢰⣷⣻⣍⣼⣀⠀⠀
⠀⣭⠀⠀⠀⠀⠀⠀⢹⠿⠉⠁⠀⣤⠀⢸⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠈⠛⠀⠈⠁⠈⠁⢹⣿⣿⡿⣾⠄⢿⠿⣾⣿⡿⠈⠀⢸⣿⣿⢇⠀⠀⣀⣁⡠⠉⢤⣤⢢⣦⣾⣿⢿⣿⠀⠀⢺⣿⣿⣽⡿⠀⠀⠀
⠀⠤⡀⠀⠀⠀⠀⠀⢨⣥⠄⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠘⢺⣿⣷⡄⠀⠀⣿⡿⢸⠀⠀⢸⠟⣱⣶⣿⡟⢠⣿⣿⣼⣶⣶⡆⠀⢸⣿⣿⣿⠁⠀⠀⠀
⢠⣤⣤⠀⠀⠀⠀⠀⠹⣿⠏⠀⠀⠀⠀⢀⣠⣴⣶⣶⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⣶⣾⣿⣿⣿⣶⣶⣶⣮⣽⣿⣓⣰⣶⡛⠁⠘⠀⠀⠼⢢⣾⣿⣿⠇⢸⣿⣯⣿⣿⣿⡆⠀⢸⣿⣿⠇⢀⠀⠀⠀
⠀⠉⢉⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⡛⠛⠛⠙⠛⠙⠻⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⢿⣛⣿⣿⠗⠂⠀⠀⠀⠀⠀⠀⠉⢁⢤⣈⣿⣁⣀⣵⣈⣁⣀⣀⣟⣉⠀⠈⠀⠀⠀
⠀⠀⠈⠋⠉⠁⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣬⡛⠛⣧⣄⡄⠀⠀⠁⠀⠀⠀⠀⠀⢠⠤⣭⡭⠉⠉⣭⠉⠤⠀⠀⠀⠀⠀⠀⠀⠀
⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠘⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀
⡝⠛⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⢟⢋⣭⣉⡙⠛⠛⠛⠛⠛⠛⠿⠏⠁⠈⠻⠟⠂⠀⠀⢀⣀⣀⣀⣀⡀⣀⡀⠘⠂⠀⠠⠤⠀⠀⠀⠀⠀⠀⠀⠀
⣤⡄⠈⠉⠀⢰⣶⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡦⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣷⢤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⣭⣥⣽⣿⣿⣿⣿⣿⣟⡛⠿⠿⠹⠇⠿⢸⣿⡿⣿⣽⡿⣿⣸⣿⡿⣿⠁⠀⠀⠀⣲⣿⠗⠀⣮⣁⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⡿⣯⣛⢮⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠁⠉⠀⠀⠀⠀⣬⠁⠀⠀⠘⠿⣦⣭⣀⣒⣒⣢⣤⣤⣤⡀⠀⠀⢀⣀⠀⠀
⡛⢷⣮⡙⢧⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠋⠁⠀⠀⣽⣿⣿⣿⣿⣿⡋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣾⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿
⣿⠦⠙⢙⣌⢳⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠄⠀⠀⠀⠀⣽⣿⣿⣿⡿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⣛⢳⣿⣍⣉⣉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠈⠀⠀⠀⠈⡆⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠈⠙⠿⠿⣷⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣤⣤⣤⣤⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⣄⠀⠠⠂⢀⣼⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣤⣤⣤⣤⣤⣤⣤⣭⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠘⠃⠀⣀⡘⠻⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠰⠿⠛⠻⢣⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠗⠀⠀⠀⠁⠀⠀⠀⠉⠀⠀⠀⠀⠘⠁⡀⠘⠃⠀⠉⠀⠘⠃⠀⠛⠀⠛⠃⠸⠇⠀⠀⠀⠛⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠒⠒⠒⣒⣒⣒⣒⣒⡒⡒⢒⠒⠒⠚⣻⡟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠒⠒⠒⠒⠂⠀⠀⠀⠀⠀⠀⢸⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿
⠀⣼⣿⣿⣿⣿⣿⣿⣿⠾⠷⠷⠤⠄⠽⡇⠜⡿⠀⣿⡆⢷⢇⢻⣷⠰⣆⢰⣆⠀⣆⠀⣄⢠⣠⡐⣤⡀⣤⠀⣤⠀⠈⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⠁⢿⣿⣿⣿
⠀⣿⣿⣿⣿⣿⡇⣶⡆⠀⠀⠀⠀⠀⠀⡇⠸⢿⡆⢸⡗⠘⣿⠀⣿⠂⣷⠆⢻⡇⠹⠇⠻⠇⠸⠃⠘⠃⠘⠁⠛⠀⠟⢠⣿⣿⡿⣿⣿⣿⣿⣿⡌⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⢿⣤⡸⢿⠿⠿
⠒⣿⠗⠉⠉⠀⠁⠀⠠⠀⠀⠀⠀⠀⠀⡇⠀⠈⠁⠈⠁⠀⠀⠀⠀⠀⠉⢀⡀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⢀⣸⣿⣿⣾⢻⡟⡟⢹⣿⡅⠙⠛⠛⠛⠛⠛⠛⣿⣿⣿⠿⠿⠿⠿⢿⡀⡃⠈⣿⣼⡿⢯⠀⠂⠀
⠀⢤⣄⠀⠀⠀⠀⠀⢠⡤⠀⠀⠀⠀⠀⢸⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⢀⣀⠀⢠⡀⣠⡀⣠⡄⣠⣄⢰⠝⣁⡉⢁⣿⢀⣿⡧⢸⣯⣉⠀⠀⠀⠀⠀⠄⢻⡟⣋⠀⢶⢷⣾⣶⣶⠉⠇⢰⢗⣫⣅⣾⣄⠀⠀
⠀⠤⠀⠀⠀⠀⠀⠀⢽⣿⡍⠁⠀⢤⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠈⠛⠀⠈⠁⠈⠁⠹⣿⣿⡿⣾⠄⢻⢿⢻⣿⡏⠊⠀⠨⣿⣿⣇⠀⠀⢈⣉⠠⠀⢠⣴⠲⣦⣿⣿⠿⠿⠀⠀⢺⣿⣿⣼⡟⠘⠀⠀
⠒⠒⣒⠂⠀⠀⠀⠀⢠⣤⠄⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡆⠀⠘⢼⣿⣷⡄⠀⠀⣿⡿⢸⠀⠀⢸⠟⢱⣶⣿⠟⢀⣿⣿⣾⣷⣶⡆⠀⠸⣿⣿⣿⠁⠀⠀⠀
⠀⣶⣶⠀⠀⠀⠀⠀⠸⣿⠁⠀⠀⠀⠀⣀⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣾⣷⣾⣿⣾⣿⣿⣶⣶⣾⣶⣽⣿⣛⣴⣷⡛⠀⠀⠀⠀⠴⠀⣾⣿⡿⠇⢸⣿⣧⣿⣿⣻⡆⠀⠐⣿⣿⠇⢀⠀⠀⠀
⠀⠀⢀⣄⣤⡄⠀⠀⠀⠀⠂⠀⠤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣛⡙⠛⠛⢙⣋⣻⣿⣿⣿⣿⣿⣿⣿⡿⣿⠿⢿⣟⣟⣿⠋⠀⠀⠀⡀⠀⠀⠀⠈⠡⢤⣠⣿⣤⣤⣬⣭⣥⣀⣀⣿⡭⠀⠈⠀⠀⠀
⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣬⡟⠛⣧⣤⣄⠀⠀⠁⠀⠀⠀⠀⠀⠰⠴⠦⠬⠉⠉⣬⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠘⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡄⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀
⠍⠙⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⠟⢋⣭⣉⡉⠛⠛⠛⠛⠛⠛⠛⠋⠀⠈⠛⠛⠀⠀⠈⠀⣠⣀⣀⣄⡀⣀⡀⠉⠃⠀⠠⠶⠀⠀⠀⠀⠀⠀⠀⠀
⣶⣄⠀⠁⠀⠐⢶⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⠀⠀⠹⣿⣿⡿⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣷⡶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣬⣭⣥⣽⣿⣿⣿⣿⣿⣟⠛⠿⠿⠹⠇⠿⢸⣿⡿⣿⣻⡿⣿⣼⣿⡿⣿⠁⠀⠀⠀⣷⣿⠟⠀⢦⣤⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⡿⣿⣝⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠁⠉⠀⠀⠀⠀⠼⢀⣀⠀⠘⠻⣷⣮⣣⣢⣢⣤⣤⣤⣤⣀⢀⢀⣀⣀⠀⠀
⡙⢿⣦⡙⢷⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⠉⠈⠀⠀⠀⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢴⣾⣿⣿⡶⠾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠶⠈⠊⣄⠻⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⠀⠀⠀⠀⠀⣺⣿⣿⣿⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢻⣿⣄⣉⣭⣽⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠇⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠈⠉⠛⠿⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣦⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢦⠀⠠⠂⢀⣼⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣤⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠘⠃⠀⣠⡈⠻⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⢡⠿⠛⠻⠳⠟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠂⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠘⢠⡀⠘⠃⠀⠀⠀⠈⠁⠀⠉⠀⠛⠀⠺⠁⠀⠀⠈⠋⠀⠉⠀⠀⠀⠀⠀⠀⢀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠒⢓⣲⣾⣭⣭⣭⣭⣭⡍⣍⠉⠉⠉⣹⡏⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢽⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿
⠀⣾⣿⣿⣿⣿⡿⠿⠿⠿⠿⠶⠒⠀⠸⡇⡾⣿⠘⣿⡄⣿⡇⠻⣧⠰⡦⢹⣆⠠⣄⢀⣄⢠⣤⠀⣶⠀⣤⠀⣤⠀⣈⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠙⢿⣿⣿⣿
⠀⣿⣿⣿⣿⣿⡷⠾⠆⠀⠀⠀⠀⠀⠀⡇⠀⣿⠂⢹⡇⢸⡟⠈⣿⠀⣿⠈⣿⠃⠿⠁⠻⠊⠛⠀⠉⠀⠉⠀⠛⠀⠋⢰⣿⣿⠟⣿⣿⣿⣿⣯⡄⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠷⢽⣿⢯⣦⡻⠿⠿⠿
⠐⠿⠁⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⡇⠀⠉⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠤⠤⠤⠤⠄⢀⢸⣿⡿⣾⢻⡏⡏⢹⣯⡌⠉⠉⠉⠉⠉⠉⢩⣿⣿⣿⠿⠿⠿⠿⢿⠀⠀⢸⡿⣾⣿⢥⠰⠀⠀
⢀⣶⡆⠀⠀⠀⠀⠀⣤⣤⣀⠀⠀⠀⠀⣏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⠀⣤⡀⣤⡀⣤⣄⣠⣄⣼⢌⣄⡍⢘⣷⣠⣿⠇⢸⣉⣁⠀⠀⠀⠀⠉⠈⣿⣏⣁⠀⡶⣷⣾⣶⣾⠸⠇⣸⣕⣭⢠⣯⠀⠀⠀
⠂⠲⠀⠀⠀⠀⠀⠀⢿⡟⠀⠀⠀⠶⠀⡏⡄⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠁⠀⠀⠈⠉⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⠈⠟⣟⢿⣿⡇⠁⠀⢸⣿⣿⢀⠀⠀⢩⣉⡤⠀⣴⣶⢲⣦⣿⣿⠿⠿⠀⠀⢸⣿⣿⣾⡏⠀⠀⠀
⠐⠒⠆⠀⠀⠀⠀⠀⣶⣶⣀⠀⠀⠀⠀⠀⠁⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠆⠀⠈⢸⣿⣿⡀⠀⢨⣿⠏⢸⠀⠀⣸⠋⣴⣾⣿⡏⢸⣿⣿⣿⣿⣿⠆⠀⢸⣿⣿⡿⠀⠀⠀⠀
⠰⣶⣶⠀⠀⠀⠀⠀⠸⠟⠂⠀⠀⠀⢀⣠⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣶⣿⣿⣿⣿⣿⣾⣶⣿⣶⣿⣯⣭⣼⣿⡋⠀⠸⠀⠀⠖⠡⣿⣿⡿⠁⢸⣿⣿⣿⡿⣿⠀⠀⢸⣿⣿⠁⢠⠀⠀⠀
⠀⠀⢠⣤⣤⠄⠀⠀⠀⠀⠀⠀⢤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣉⣉⣉⣉⣋⣉⣻⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⡿⠉⠁⠀⢀⠀⠀⠀⠀⠀⠠⢤⣤⣯⣤⣤⣽⣭⣥⣀⣤⡿⠥⠀⠈⠀⠀⠀
⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⡛⠙⣷⣦⣄⠀⠈⠀⠀⠀⠀⠀⠀⠴⠶⠶⠦⠈⠈⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣗⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠘⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⢠⠄⠀⠠⠤⠀⠀⠀⠀⠀⠀⠀⠀
⠉⠉⢀⡀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⠟⢋⣥⣉⡉⠛⠛⠛⠛⠋⠛⠻⠋⠀⠀⠛⠋⠀⠀⠀⢠⣤⣤⣤⣄⢀⣄⡀⠈⠁⠀⠰⠶⠀⠀⠀⠀⠀⠀⠀⠀
⣶⣄⠀⠀⠀⠰⢿⣆⣴⣶⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡿⣾⣧⣿⣿⣿⡿⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⠀⠀⢹⣿⣿⡿⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣲⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣭⣬⣭⣥⣿⣿⣿⣿⣿⣿⣛⠛⠿⠿⠹⠇⠿⢸⣿⡿⣿⣻⡿⣿⣼⣿⡿⣿⠁⠀⠀⠀⣷⡿⠛⠈⣧⣀⣉⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⡿⢷⣝⠫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⠯⣀⣀⠀⠛⢿⣾⣼⣶⣶⣦⣦⣐⣠⣤⡤⡄⢀⣀⣀⠀⠀
⡙⢿⣦⡙⢷⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠁⠀⠀⠀⠠⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⣶⣾⣿⣿⡾⠻⣿⣿⣿⣿⣿⡻⣿⣿⢿⣿⣿⢿⣿⣿⣿⣿
⢟⠧⠈⢈⣄⠳⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣷⣤⣭⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠄⠠⠃⢈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⠀⠀⠀⠀⠈⠙⠛⠻⠿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣴⣶⣶⣶⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢆⠀⠐⠀⢠⣞⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣦⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⣤⣤⣤⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠘⠁⠀⣤⡈⠩⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⡳⠿⠛⠻⠳⢛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣠⣄⣈⣁⣀⣀⣀⣈⣁⡀⠉⣀⠉⢀⠚⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠉⢉⣭⣭⣭⣭⣭⣭⣍⣭⣭⠉⠉⠉⢽⡏⢉⡉⢉⢉⠉⣉⠉⣉⡉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠈⠉⠁⠀⠀⠀⢼⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣾⣿⣿⣿
⠀⣾⣿⣿⣿⣿⡿⠿⠿⠛⠛⠛⠒⠀⠸⡇⠞⣽⠘⣿⡆⢿⣇⠻⣳⠸⡧⢹⣇⠰⣤⡀⣤⢠⣤⠀⣶⠀⣶⠀⣦⠀⣈⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡀⠈⢻⣿⣿⣿
⠀⣿⠿⣿⣿⠿⡟⠿⠂⠀⠀⠀⠀⠀⠀⡇⠀⣿⠃⢹⡇⠸⠟⠈⠿⠀⣿⠀⠿⠁⠛⠀⠛⠈⠙⠀⠉⠀⠉⠀⠉⠀⠋⢸⣿⣿⢛⣿⣿⣿⣿⣷⢄⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢺⣿⢻⣦⡝⠿⠛⠛
⠙⠟⠉⠀⠀⠀⠀⠀⠢⠀⠀⠀⠀⠀⠀⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠤⠤⠤⠤⠤⠤⠤⠤⠀⠀⠀⠀⠀⢠⠼⣿⡿⣾⠻⡏⡏⢸⣯⡎⠉⠉⠉⠉⠉⠉⢹⣿⣿⢿⠛⠛⠛⠛⢻⣀⡀⢸⡿⣾⡟⣣⠰⠀⠀
⠀⠿⠆⠀⠀⠀⠀⠀⣰⣖⣀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⠀⢶⡄⢶⠀⣶⣄⣴⣄⣼⢪⣄⡅⣈⣷⣠⣿⠇⣸⣞⣣⠀⠀⠀⢀⡀⠀⡽⠏⠀⠀⠿⣿⣿⣿⣿⠸⠃⢼⣪⣵⢠⣷⠄⠀⠀
⠀⠓⠀⠀⠀⠀⠀⠀⢿⠟⠀⠀⠀⠖⠀⠋⠄⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠁⠀⠀⠈⠉⠀⠀⠀⠀⠀⠹⣿⣿⣻⣽⠈⠻⢿⣿⣿⡟⠁⠀⢸⣿⣿⢠⠀⠀⢠⡤⠄⢐⣶⣾⢱⣷⣿⣷⠻⠟⠀⠈⢹⣿⣿⣿⠏⠀⠀⠀
⠉⠉⠍⠀⠀⠀⠀⠀⣲⣶⠂⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⢀⠀⢀⡿⢿⣿⣿⠆⠀⠀⢻⣿⣿⡄⠀⢰⣿⠏⢸⠀⠀⠸⡣⣼⣿⣿⡇⢸⣿⣯⣿⣿⣿⠃⠀⢸⣿⣿⡟⠀⠀⠀⠀
⠸⠿⠷⠀⠀⠀⠀⠀⠸⠿⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣾⣿⣭⣼⣿⡉⠀⠈⠀⠀⠚⠠⠿⢿⡇⠀⢸⣿⠾⠿⡿⢽⠁⠀⢸⣿⡿⠁⢰⠀⠀⠀
⠀⠀⢰⣴⣶⠀⠀⠀⠀⠀⠀⠀⢲⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣭⣍⣁⣁⣭⣤⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⠟⢻⣭⣝⡿⠉⠁⠀⢠⠀⠀⠀⠀⠀⠰⠲⠶⣿⣶⣶⣶⣤⠤⠤⠤⠷⠤⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡍⠉⣷⣶⣆⠀⠀⠀⠀⠀⠀⠀⠀⠔⠒⠖⠒⠀⠀⠶⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀
⣗⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡆⠈⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢤⢤⠄⠀⠐⠖⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⣿⣟⢛⢋⣭⣉⡉⠉⠙⠉⠉⠉⠉⠉⠁⠀⠀⠙⠉⠀⠀⠀⠠⣤⣤⣤⣤⠠⢤⠄⢈⠀⠀⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀
⣶⣤⡀⠀⠀⠘⣻⣒⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⠀⣀⠸⠿⠿⠿⢒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⢿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣭⣬⣭⣵⣽⣿⣿⣿⣿⣷⡛⠛⠿⠿⠹⠇⠿⢸⣿⡿⣿⣹⡿⣿⣼⣿⡟⣿⠁⠀⠀⠈⣿⠿⠋⠀⢶⣀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣟⢷⣮⡳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠝⢿⣿⣿⣿⣿⣿⣿⡿⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠁⠉⠀⠀⠀⠀⠣⢀⣀⠀⠙⢻⣶⣶⣥⣶⣆⣤⣄⣄⣤⡀⣀⣀⣠⣄⣀⣀
⣍⠻⡷⠍⢷⡝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡁⠈⠀⠀⠀⠠⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠶⠷⢾⣿⣿⢛⣋⣿⣿⣿⣿⣿⣿⡛⠟⣟⣿⣛⢿⣿⣿⣿⣿
⠿⠓⠀⠀⢆⠱⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠐⣷⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠃⢠⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⠀⠀⠀⠀⠈⠉⠛⠻⠷⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠈⢦⡀⠈⠀⣰⡞⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠈⠀⢀⣶⡀⠁⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⡿⠿⠛⠻⠓⢛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣠⣄⣈⣁⣀⣀⣀⣈⣀⡀⠉⣀⠉⢀⠚⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠉⢉⣭⣭⣭⣭⣭⣭⣭⣭⣩⠉⠉⠉⢽⡏⢉⡉⢉⢉⠉⣉⠉⣉⡉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠉⠀⠀⠀⠀⢹⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣾⣿⣿⣿
⠀⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⠓⠒⠀⠸⡇⠞⣽⠘⣿⡆⢿⣇⠻⣳⠸⡧⢹⣆⠰⣤⡀⣤⢠⣤⠀⣶⠀⣶⠀⣦⠀⣀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡀⠈⢻⣿⣿⣿
⠀⣿⠿⣿⣿⠿⡟⠿⠂⠀⠀⠀⠀⠀⠀⡇⠀⣿⠃⢹⡇⠸⠟⠈⠿⠀⣿⠀⠿⠁⠛⠀⠛⠈⠙⠀⠉⠀⠉⠀⠉⠀⠋⢸⣿⣿⢛⣿⣿⣿⣿⣷⢄⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢺⣿⢻⣦⡝⠿⠛⠛
⠙⠟⠉⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠠⠤⠤⠤⠤⠤⠤⠠⠀⠀⠀⠀⠀⢠⠸⣿⣿⣿⠻⡏⡏⢸⣯⡎⠉⠉⠉⠉⠉⠉⢩⣿⡿⢿⠛⠛⠛⠛⢻⡀⡀⢸⡿⣾⡟⣳⠰⠀⠀
⠀⠿⠇⠀⠀⠀⠀⠀⣰⣖⣀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⠀⢶⡄⢶⠄⣶⣄⣴⣄⣼⢊⣄⡁⣈⣵⣠⣿⠃⣸⣞⣣⠀⠀⠀⢀⡀⠀⡽⠏⠁⠁⠿⣿⣾⣿⣿⠸⠃⢼⣪⣵⢠⣿⠄⠀⠀
⠀⠳⠀⠀⠀⠀⠀⠀⠿⠟⠀⠀⠀⠖⠀⠋⡄⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠁⠀⠀⠀⠉⠀⠀⠀⠀⠀⠹⣿⣿⣻⣽⠈⠻⢿⣿⣿⡏⠁⠀⢸⣿⣿⢠⠀⠀⢠⣤⠄⢐⣶⣾⢹⣶⣿⣷⠻⠗⠀⠈⢹⣿⣿⣿⠏⠀⠀⠀
⠉⠉⠍⠀⠀⠀⠀⠀⣶⣶⠂⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⢀⠀⢀⡿⢿⣿⣿⡆⠀⠀⢿⣿⣿⡅⠀⢰⣿⠏⢸⠀⠀⠸⠫⣴⣿⣿⡇⢸⣿⣿⣿⣿⣿⠳⠀⢸⣿⣿⡟⠀⠀⠀⠀
⠸⠿⠷⠀⠀⠀⠀⠀⠸⠿⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣭⣼⣿⡉⠀⠘⠀⠀⠚⠠⠻⣿⡿⠀⢸⣿⠾⠿⡿⢿⠃⠀⢸⣿⡿⠁⢰⠀⠀⠀
⠀⠀⢰⣴⣶⠀⠀⠀⠀⠀⠀⠀⢲⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣭⣍⣉⣈⣥⣬⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⠟⢻⣭⣍⡿⠉⠁⠀⢠⠀⠀⠀⠀⠀⠰⠲⠴⣷⣶⣦⣶⣤⠤⠤⠤⠷⠤⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⡍⠉⣷⣶⣆⠀⠀⠀⠀⠀⠀⠀⠀⠔⠒⠲⠒⠀⠀⠶⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀
⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠈⢿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢤⢤⠄⠀⠐⠖⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⣿⣛⠛⢋⣭⣀⡉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠙⠉⠀⠀⠀⢠⣤⣦⣤⣤⠠⢤⠄⠈⠀⠀⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀
⣶⣤⡀⠀⠀⠘⣻⣒⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⠀⣀⠸⠿⠿⠿⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⢿⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣭⣬⣭⣥⣿⣿⣿⣿⣿⣷⡛⠛⠿⠿⠹⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⣿⡟⣿⠁⠀⠀⠈⣿⠿⠋⠈⢶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣟⠷⣮⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠻⣿⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⠣⠀⣀⠀⠙⢻⣶⣦⣦⣶⣤⣤⣤⣄⣤⣄⣀⣀⣠⣀⣀⣀
⣍⠻⣷⠌⢳⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠶⢾⣿⣿⠛⢏⣽⣿⣿⣿⣿⡾⡛⢿⣿⣿⢿⢿⣿⣿⣿⣿
⠟⠓⠀⢀⠆⠹⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⣷⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠐⠃⢠⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⣀⠀⠀⠀⠀⠉⠉⠛⠻⠷⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣷⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠈⢦⡀⠀⠀⣰⡞⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠈⠀⢀⣶⡀⠁⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⡿⠿⠛⠻⠓⢛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣈⣀⣄⣈⣁⣀⣀⣀⣈⣁⣀⣉⣀⣉⣀⡘⢃⣀⠀⢀⡉⣀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠉⢉⣭⣭⣭⣭⣭⣭⣭⣭⡭⠍⠀⠀⢽⡏⢈⡉⠉⣉⠉⡉⡉⣉⡉⠉⠉⢉⠉⠉⠉⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⢸⡼⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣾⣿⣿⣿
⠀⣿⣿⣿⣿⣿⡿⠟⠛⠛⠛⠛⠓⠀⠚⡇⢛⣟⠀⢿⡆⢿⣣⠙⣵⠘⡧⠸⣇⡀⣶⡀⣦⣐⣶⡄⢶⡄⢶⠀⣶⠀⣀⠀⣸⣿⣿⣿⣿⣿⣿⣿⢿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⠀⢻⣿⣿⣿
⠀⢿⠿⢿⡿⠿⡇⠿⠃⠀⠀⠀⠀⠀⠀⡇⠀⢻⠇⢸⠇⠈⠿⠀⠿⠀⣻⠂⠽⠇⠙⠃⠘⠃⠉⠁⠈⠀⠈⠀⠉⠀⠋⢰⣿⣿⢛⣿⣿⣿⣿⣿⣆⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡟⢻⣿⢻⣶⣜⠻⠛⠛
⠈⠛⠉⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⣇⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠤⠤⠤⠤⠤⠤⠤⠤⠄⠀⠀⠀⠀⠒⠒⡤⠸⣿⡿⣿⠙⣍⡇⢸⣿⡖⠈⠉⠉⠉⠉⠉⢉⣿⣿⢿⠛⡛⢛⠛⢻⡄⡂⠈⡿⣾⡿⢳⠀⠁⠀
⠀⠿⠧⠀⠀⠀⠀⠀⣰⣖⡂⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢠⣤⠀⢶⡄⢶⡄⣴⣆⣴⣦⢸⠊⣤⣄⣠⣼⣠⣿⠗⢸⣷⣦⠀⠀⠀⡀⣀⡀⠽⠯⠅⠀⠻⣿⣿⣾⣿⠀⠃⢰⣫⣵⢦⣾⢄⠀⠀
⠀⠚⠃⠀⠀⠀⠀⠀⠿⠿⠀⠀⠀⠚⠀⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠘⣿⣿⣿⣾⡂⠛⢿⢹⣿⣿⠁⠀⠸⣿⣿⢣⠀⠀⢠⣤⡔⠀⣲⣾⠙⣷⣿⣿⡛⠟⠀⠈⢹⣿⣿⣾⡟⠀⠀⠀
⠉⠉⠭⠀⠀⠀⠀⠀⢲⣶⡢⠀⠀⠀⠀⠸⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⢀⡀⢀⡿⢿⣿⣿⠇⠀⢀⠸⣿⣿⣆⠀⡀⣿⠏⢸⠀⠀⠸⡋⢰⣿⣿⡇⢰⣿⣿⣿⣿⣿⠇⠀⢸⣿⣿⡟⠀⠀⠀⠀
⠰⠿⠿⠀⠀⠀⠀⠀⠸⠿⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣶⣿⣍⠀⠘⠀⠀⠚⠁⠿⠿⠏⠁⠸⣿⡿⠿⣿⣽⡇⠀⠸⣿⣿⠁⢠⠀⠀⠀
⠀⠀⢰⣶⣶⠆⠀⠀⠀⠀⠀⠀⢲⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣥⣬⣥⣥⣴⣽⣿⣿⣿⣿⣿⣿⣿⣟⣿⠛⢻⣯⣭⡿⠉⠁⠀⠀⠀⠀⠀⠀⠀⠰⠢⠴⠿⣶⣶⣶⢴⠶⠤⠤⠷⠖⠀⠀⠀⠀⠀
⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣏⠉⢿⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠶⠒⠀⠀⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠈⢻⣿⣧⠀⠀⢀⠀⠀⠀⠀⠀⠀⠠⢤⢴⡆⠀⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠠⠄⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⣿⣿⠟⢉⣭⣁⡈⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠉⠉⠀⠀⠀⠰⣶⣴⣤⣦⠀⠤⠄⢈⠁⠀⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣦⡀⠀⠀⢈⣛⣲⣶⣶⣾⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⡟⣿⠳⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⠀⣀⡸⠿⣿⠻⢓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⡿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣬⣭⣵⣽⣿⣿⣿⣿⣷⣛⠛⠿⠿⠹⠇⠿⢸⣿⡿⣿⣻⡿⣿⣼⣿⡟⣿⠁⠀⠀⠀⢿⠿⠋⠀⢲⣤⣤⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣟⠻⣮⡑⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⠟⠛⠻⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠁⠉⠀⠀⠀⠀⠛⢀⣠⡀⠉⢛⣶⣷⣬⣶⣦⣤⣄⣤⣤⣤⣀⣄⣤⣄⣀⣀
⣌⡻⠷⠈⠳⡌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠈⠀⠀⠘⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠾⠿⣿⣿⠛⡣⢸⣿⣿⣿⣿⣿⡿⡛⢿⣿⣿⢿⣿⣿⣿⣿
⠻⠛⠀⠀⠣⡙⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⢿⣿⣿⣿⣟⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⣦⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠐⠃⢀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣀⣀⠀⠀⠀⠀⠉⠙⠛⠿⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣶⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢳⡀⠈⠀⢰⡾⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠈⠀⠀⣴⡄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠿⠿⠛⠻⠻⢻⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣈⣀⣄⣈⣁⣀⣀⣀⣀⣁⣀⣉⣀⣉⣀⡘⢃⣀⠀⠀⠉⠀⠀⠀⠀⠀⣀⣀⣀⢀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠉⢉⣭⣭⣭⣭⣭⣭⣭⣭⣩⡍⠈⠀⢼⡏⢀⡉⠉⢉⠉⡉⡉⣉⡉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣾⣿⣿⣿
⠀⣿⣿⣿⣿⣿⡿⠿⠛⠛⠛⠛⠒⠀⠈⡇⢈⣟⠀⢿⡇⢻⣣⠙⣿⠘⡷⠘⣇⡀⣦⡀⣤⡐⢴⡄⢲⡄⢶⡀⣶⠀⣀⠀⣸⣿⣿⣿⣿⣿⣿⣿⢿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⠀⢻⣿⣿⣿
⠀⠿⠿⡿⠿⠿⠇⠿⠃⠀⠀⠀⠀⠀⠀⡇⠈⢻⠇⠸⠇⠈⠿⠀⠿⠀⣿⠃⠹⠇⠘⠃⠘⠃⠈⠁⠈⠀⠈⠀⠉⠀⠋⢰⣿⣿⢟⣿⣿⣿⣿⣿⡆⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡟⢻⣿⢻⣶⣜⠻⠛⠛
⠈⠻⠋⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⢇⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠠⠤⠤⠤⠤⠤⠤⠤⠄⠀⠀⠀⠀⠒⠒⡄⡼⣿⡟⢽⠛⣏⡇⢸⣿⡞⠈⠈⠉⠉⠉⠉⢉⣿⣿⢿⠛⠛⢛⠛⠻⡄⡆⠀⡿⢺⠿⢳⠀⠁⠀
⠀⠿⠧⠀⠀⠀⠀⠀⣰⣖⣂⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⠀⢰⡄⢰⡄⢴⣆⣴⣦⢸⠂⣤⣂⢠⣽⣠⠙⠁⢸⣷⣦⡀⠀⠀⡀⣀⡀⠹⠏⠅⠀⠻⢻⣿⣾⣿⠀⠃⢰⣫⣵⢦⣾⢄⠀⠀
⠀⠀⠁⠀⠀⠀⠀⠀⠺⠿⠀⠀⠀⠚⠀⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⠂⠻⢻⢺⣿⡏⠀⠀⠸⣿⣿⢧⠀⠀⢠⣤⡐⠀⣰⣾⠋⣷⣿⣿⠛⠛⠀⠈⢹⣿⣿⣾⡟⠀⠀⠀
⠉⠉⠩⠀⠀⠀⠀⠀⢰⣶⡢⠀⠀⠀⠀⠸⠀⠀⣀⣀⣀⣀⣄⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⢀⡀⢀⡿⢿⣿⣿⠆⠀⢀⠸⣿⣿⣄⠀⡀⣿⠏⠸⠀⠀⠸⡋⢸⣾⣿⡇⢰⣿⡿⣿⣿⣿⠇⠀⢸⣿⣿⡿⠀⠀⠀⠀
⠐⠿⠿⠀⠀⠀⠀⠀⠘⠿⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣶⣿⣍⠀⠘⠀⠀⠚⠁⠿⠿⡿⠃⠸⣿⡷⠿⢿⠽⡇⠀⠈⣿⣿⠃⢠⠀⠀⠀
⠀⠀⢰⣶⣶⠆⠀⠀⠀⠀⠀⠀⢲⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣮⣤⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⠟⢛⣯⣭⡽⠃⠁⠀⠀⠀⠀⠀⠀⠀⠰⠲⠶⠿⣶⣶⣶⢴⠶⠤⠤⠿⠖⠀⠀⠀⠀⠀
⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣍⠉⢿⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠒⠒⠀⠀⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡄⠻⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢤⡄⠀⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠠⠄⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⠛⢋⣥⣀⡁⠉⠉⠉⠉⠉⠉⠉⠈⠀⠀⠉⠉⠀⠀⠀⠀⣤⣤⣤⣤⠀⠤⠄⢀⠁⠀⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀
⣷⣤⡀⠀⠀⢈⣛⣒⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⠀⣀⡐⠿⠿⠟⢓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⡿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣬⣭⣥⣿⣿⣿⣿⣿⣿⡟⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⣿⡟⣿⠁⠀⠀⠀⢿⡿⠋⠀⢶⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣟⠻⣮⡑⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⢻⣿⣿⣿⣿⣿⣿⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⠛⠄⣀⡀⠉⢛⣷⣧⣦⣶⣴⡤⣶⣶⣶⣒⣄⣀⣠⣤⣄⣀
⣌⠛⠗⠈⠻⣌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠷⠿⣿⣿⢛⣋⠽⣿⣿⣿⣿⣿⣷⠟⣺⣿⣛⣻⣿⣿⣿⣿
⠻⠑⠀⠀⠧⡙⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⢿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⣾⣦⣤⣦⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠐⠃⢀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣀⣀⠀⠀⠀⠀⠉⠙⠛⠿⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣿⣿⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢳⡀⠊⠀⢰⡞⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠈⠀⠀⣶⡄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠻⠟⠛⠻⠻⢛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠋⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣁⣆⣀⣁⣀⣀⣀⣀⣀⣀⣀⣀⣈⣁⣘⣃⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿
⠉⠉⣩⣽⣭⣭⣯⣤⣄⣄⣠⡄⠀⠀⠼⣿⠀⣀⠀⣀⠀⢀⡀⢀⣀⢀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡗⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿
⠀⣾⣿⣿⣿⣿⡿⠛⠛⠛⠛⠛⠃⠂⠃⣿⢠⢏⡆⢻⣇⠸⣿⠸⣿⡀⣿⡈⣧⡀⢷⡄⢦⡄⢰⡆⢸⡆⢸⡆⢲⡄⣠⠀⣸⣿⣿⣿⣿⣿⣿⣿⠿⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣥⠀⢹⣿⣿⣿
⠀⢿⠿⠿⠿⠿⠇⠛⠃⠀⠀⠀⠀⠀⠀⢻⠈⢸⡇⠸⠯⠀⠿⠀⠿⠁⢹⠇⠸⠇⠘⠃⠘⠃⠈⠁⠀⠀⠀⠀⠈⠀⠈⠠⣿⣿⡏⣹⣿⣿⣿⣿⡆⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠻⣿⣟⣿⣮⠛⠛⠛
⠈⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡀⠀⠀⠀⠀⠠⠄⠤⠤⠤⠤⠤⠤⠤⠤⠤⠄⠀⠀⠀⠐⠒⠒⠒⠒⡀⡔⢿⡿⣿⠋⣍⣘⠀⣿⣼⠀⠀⠀⠀⠀⠀⢀⣿⣿⠿⠟⣛⢛⡛⡋⡇⡄⠀⡿⣻⠿⢷⠆⠃⠀
⠀⠼⠧⠀⠀⠀⠀⠀⣰⣶⠆⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣦⡀⠰⠆⠰⠆⢴⣦⣴⣧⣸⡇⣴⣤⣠⣽⣦⠌⠙⢰⣥⣤⡆⠀⠀⠀⣄⠀⠸⠯⠀⠀⠻⢻⣿⣿⣿⠀⠃⢰⣫⣷⣆⣾⠆⠀⠀
⠀⠈⠀⠀⠀⠀⠀⠀⠸⠷⠀⠀⠀⠘⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣯⣿⡇⠙⠹⠹⣿⡏⠀⠀⠀⣿⣿⡇⠀⠀⡄⣦⠄⠀⣹⡿⠋⣷⣿⣿⣛⣛⠀⠀⠀⣿⣿⣿⡟⠀⡀⠀
⠈⠉⠉⠀⠀⠀⠀⠀⢸⣿⠦⠄⠀⠀⠀⠈⠀⢀⣀⣠⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⠀⢀⡀⢀⣸⣿⣿⣿⣇⠀⢀⡀⢿⣿⣦⠀⣀⣾⡟⠀⠀⠀⠸⡃⢘⣿⣿⡃⠀⣿⡿⣾⣿⣿⡇⠀⠀⣿⣿⡿⠁⠀⠃⠀
⠂⠿⠿⠂⠀⠀⠀⠀⠀⠛⠃⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣏⡀⠀⠀⠀⠘⠁⠚⠿⠟⠁⠀⢿⠿⠿⢿⣽⡇⠀⠀⣿⣿⠃⠀⡆⠀⠀
⠁⠀⠐⣶⣶⠆⠀⠀⠀⠀⠀⠀⢲⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣤⣤⣤⣥⣽⣯⣿⣿⣿⣿⣿⣿⣟⣝⡛⠛⣿⣿⣿⠃⠀⠀⠀⡆⠀⠀⠀⠀⠐⠒⠶⠿⠶⠶⣶⠴⠶⠶⠴⠞⠒⠀⠀⠀⠀⠀
⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⠈⢹⣷⣶⡀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠛⠀⠀⠲⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀
⢿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠹⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⣀⡆⠀⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀
⠂⠀⠀⠤⠀⠀⢀⠀⠀⠀⠀⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⠛⢋⣥⣈⡁⠉⠉⠉⠉⠉⠉⠉⠈⠀⠀⠈⠉⠀⠀⠀⠀⣶⣶⣶⣴⡄⠄⠄⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣶⣄⠀⠀⢀⣻⣷⣾⣶⣶⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⡀⣀⣈⠟⠛⠟⢛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⡿⢭⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣭⣬⣭⣡⣽⣽⣿⣿⣿⣿⣛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⢿⡟⣿⠁⠀⠀⠀⢸⠿⠋⠀⢰⣤⡤⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⡻⢶⣝⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠋⠛⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⠀⢠⣤⣀⡈⢙⣿⣷⣿⣵⣥⣦⢠⣀⡖⣆⣂⣠⣠⣤⣄⣀
⣦⡙⠿⠢⠙⣦⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠛⠿⠿⣿⣟⢛⠼⢿⣿⣿⣿⢿⣏⡊⠁⣙⣛⣿⣿⣿⣿⣿
⠻⠉⠀⠀⠐⡄⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠸⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢼⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⡀⠀⠀⡀⠋⢀⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣀⣀⡀⠀⠀⠈⠉⠛⠻⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣾⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢱⡄⠀⠀⠠⣾⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣷⣶⣶⣤⣦⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⣰⡆⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠽⠟⠛⠻⠻⢛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠋⠀⠀⠀⠀⠀⢀⠀⣀⣀⣀⣀⣀⣀⣁⣆⣀⣁⣀⣀⣀⣀⣀⣀⣀⣀⣈⣁⣈⣃⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠉⢉⣭⣿⣭⣭⣽⣤⣤⣄⣠⡄⠀⠀⠼⣿⠀⣀⠀⣀⠀⢀⡀⢀⣀⢀⡀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡗⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿
⠀⣾⣿⣿⣿⣿⡿⠛⠛⠛⠛⠛⠓⠁⠃⣿⢠⢏⡆⢿⣇⠸⣿⠸⣿⡀⣿⡈⣧⡀⢷⡄⢦⡄⢰⡆⢸⡆⢰⡆⢲⡄⣠⠀⣸⣿⣿⣿⣿⣿⣿⣿⠿⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣥⠁⢹⣿⣿⣿
⠀⢿⠿⡿⠿⠿⢇⠛⠃⠀⠀⠀⠀⠀⠀⢻⠈⢸⡇⠸⠯⠀⠿⠀⠿⠁⢹⠇⠸⠇⠘⠃⠘⠃⠈⠁⠀⠀⠀⠀⠈⠀⠈⠠⣿⣿⡟⣹⣿⣿⣿⣿⡆⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⣿⣟⣿⣮⠛⠛⠛
⠈⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡀⠀⠀⠀⠄⠠⠤⠤⠤⠤⠤⠤⠤⠤⠤⠀⠀⠀⠀⠐⠒⠒⠒⠂⡀⡔⢿⡿⣻⠋⣏⣸⠀⣿⣼⠀⠀⠀⠀⠀⡀⣀⣿⣿⠿⠟⣛⢛⡛⡋⡇⡄⠀⡿⢿⠿⢳⠆⠃⠀
⠀⠽⠧⠀⠀⠀⠀⠀⣰⣶⠆⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣦⡀⠰⠆⠰⠆⢴⣦⣴⣧⣸⡇⣤⣠⢠⣽⣤⠜⠙⢰⣥⣤⡆⠀⠀⡀⣄⠀⠸⠯⠀⠀⠹⢻⣿⣿⣿⠀⠃⢰⣫⣷⣆⣾⠆⠀⠀
⠀⠈⠀⠀⠀⠀⠀⠀⠸⠗⠀⠀⠀⠘⠀⢸⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣯⣿⠇⠙⠹⡻⣿⣏⠀⠀⠀⣿⣿⡇⠀⠀⡄⣄⠔⡀⣹⡿⠋⣿⣿⢿⣛⣛⡀⠀⠀⣿⣿⣿⡟⠀⡀⠀
⠈⠉⠉⠀⠀⠀⠀⠀⢸⣿⡦⠄⠀⠀⠀⠘⠀⢀⣀⣠⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⠀⢀⡀⢀⣸⣿⣿⣿⡇⠀⢀⡀⢿⣿⣦⠀⣀⣾⡟⠀⠀⠀⠸⡋⢘⣿⣿⡇⠀⣿⡿⣾⣿⣿⡇⠀⠀⣿⣿⡿⠁⠀⡁⠀
⠀⠿⠿⠂⠀⠀⠀⠀⠀⠛⠃⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣏⣀⠀⠀⠀⠘⠁⠚⠿⠿⠃⠀⢿⠿⠿⢿⣷⡇⠀⠀⣿⣿⠃⠀⡆⠀⠀
⠁⠀⠐⣶⣶⠆⠀⠀⠀⠀⠀⠀⢒⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣤⣤⣤⣬⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠛⣿⣯⣽⠃⠀⠀⠀⡆⠀⠀⠀⠀⠐⠒⠶⠿⠶⠶⣶⠵⠶⠶⠴⠞⠒⠀⠀⠀⠀⠀
⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⡉⢹⣶⣶⡀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠛⠀⠀⠲⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀
⢿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠄⠹⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⣀⡆⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀
⠂⠀⠀⠤⠀⠀⢀⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⠛⢋⣥⣈⡉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠈⠉⠀⠀⠀⠀⢶⣶⣶⣶⡄⠤⠤⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣶⣄⠀⠀⢀⣻⣷⣴⣶⣶⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣿⡿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⡀⣀⣈⠟⡛⠛⢛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⡿⢽⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣬⣍⣡⣽⣽⣿⣿⣿⣿⣛⠛⠿⠿⠹⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⢿⡟⣿⠁⠀⠀⠀⢸⠿⠋⠀⢲⣦⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⡻⢷⣝⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠍⠙⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⠘⠠⣤⣀⡈⣙⣿⣷⣮⣾⣭⡶⣴⣄⣴⣶⣦⣀⣤⣤⣄⣀
⣦⡙⠿⠢⠙⣮⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠛⠿⢿⣿⡟⢻⠽⢿⣿⣿⣿⢿⣟⣫⡛⢝⣻⣿⣿⣿⣿⣿
⠻⠉⠀⠀⠐⡄⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠹⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢼⣶⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⡀⠀⠀⡀⠋⢀⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⣀⣀⡀⠀⠀⠈⠉⠛⠻⠧⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢱⡄⠀⠀⠠⣾⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⣰⡆⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠵⠟⠛⠻⠛⢻⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠉⠀⢀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣀⣆⣈⣁⣀⣀⣀⣀⣀⣀⣀⣀⣈⣁⣈⣃⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠉⠀⣤⣾⣶⣶⣶⣶⣦⣂⣀⣄⠀⠀⠼⡇⠀⣀⠀⣀⠀⣀⡀⣀⡀⢀⡀⢀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿
⠀⣾⣿⣿⣿⣿⡟⢛⡛⠛⠛⠛⠛⠁⠀⡇⢠⢟⡄⢻⣇⠻⣵⠸⣿⡈⣟⡘⣗⡀⣷⡄⣦⡌⢶⡆⢻⡆⢲⡆⢲⠀⣠⠀⣸⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣅⠀⢹⣿⣿⣿
⠀⣿⣿⠿⠿⠿⠇⠛⠓⠀⠀⠀⠀⠀⠀⡇⠈⠹⠇⠸⠏⠀⠿⠀⠿⠁⠻⠇⠸⠇⠘⠃⠘⠃⠈⠁⠀⠀⠀⠀⠈⠀⠋⢰⣿⣿⣟⣹⣿⣿⣿⣿⣆⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡟⢻⣿⢿⣷⣬⠛⠛⠛
⠈⠛⠂⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠄⠀⠀⠀⠐⠒⠒⠒⠒⠂⡄⡔⣿⡟⣿⠋⣇⡇⠸⣿⣾⠀⠀⠀⠀⢀⡀⢀⣿⡿⢿⠛⣛⢛⠛⡋⡇⡄⠀⡿⠿⠿⢳⠆⠃⠀
⠀⠿⠇⠀⠀⠀⠀⠀⢰⣶⠆⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠰⣦⠀⠲⠆⠰⠆⢴⣦⣴⣧⣼⡂⣆⣠⢠⣿⣦⠉⠛⢰⣥⣤⡆⠀⠀⡀⡄⠂⠼⠏⠄⠀⠻⢻⣿⣿⣿⠀⠃⢰⣫⣷⣦⣾⠆⠀⠀
⠀⠉⠀⠀⠀⠀⠀⠀⠸⠗⠀⠀⠀⠘⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣯⣿⠃⠙⠹⢹⣿⡇⠀⠀⠀⢿⣿⠇⠀⠀⢠⣦⠔⠁⣹⡿⠁⣷⣿⢿⣛⣛⠀⠀⠉⣿⣿⣿⡟⠈⡀⠀
⠈⠉⠁⠀⠀⠀⠀⠀⢸⣿⠤⠄⠀⠀⠀⠘⠀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⡀⣀⡀⢀⣻⣿⣿⣿⡃⠀⢀⠀⢿⣿⣦⠀⣀⣿⠏⠀⠀⠀⠸⡃⢸⣿⣿⠇⠀⣿⡿⣿⣿⣿⡇⠀⠀⣿⣿⡿⠀⠀⠁⠀
⠐⠿⠿⠀⠀⠀⠀⠀⠀⠛⠁⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣶⣶⣿⣏⡀⠀⠀⠀⠈⠀⠛⠿⠟⠁⠐⢻⠿⠿⢿⣿⡇⠀⠀⣿⣿⠃⢠⠂⠀⠀
⠀⠀⠰⣶⠶⠆⠀⠀⠀⠀⠀⠀⢰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣤⣤⣬⣥⣭⣿⣿⣿⣿⣿⣿⣿⣏⣟⡛⠻⣿⣯⣽⠃⠀⠀⠀⡆⠀⠀⠀⠀⠐⠲⠶⠿⠶⠶⣶⠶⠶⠦⠶⠞⠒⠀⠀⠀⠀⠀
⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⡈⢹⣶⣶⡀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠛⠀⠀⠲⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀
⢿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠻⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⣐⡂⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀
⠃⠀⠠⠤⠀⠀⣀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⣿⣻⠛⢋⣥⣀⡉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠈⠉⠀⠀⠀⠐⣶⣶⣶⣦⠆⠦⠤⠀⠀⠀⠐⠛⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣦⣄⠀⠀⣀⣺⣯⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⡀⣀⣈⠿⠟⠛⢋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢿⣿⡿⢭⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣭⣽⣬⣭⣥⣽⣽⣿⣿⣿⣿⡛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⢿⡟⣿⠁⠀⠀⠀⢸⠿⠋⠀⢳⣤⣤⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣯⡛⢷⣍⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠏⠉⢻⣿⣿⣿⣿⣿⣿⡿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⠘⠠⣠⣀⣈⣙⣿⣷⣾⣾⣧⣥⣦⣦⣴⣦⣄⣤⣤⣤⣄⣀
⣦⡙⢿⠢⠙⣦⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠂⠀⠀⠀⠀⣘⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠛⠿⢿⣿⠛⡹⠿⢿⣿⣿⣿⢿⣽⣻⣛⣟⣹⣿⣿⣿⣿⣿
⠻⠉⠀⠀⠐⡌⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠺⠿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⣽⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⡀⠀⠀⡀⠋⢀⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣀⣀⣀⡀⠀⠈⠉⠙⠛⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢹⡄⠈⠀⠠⣿⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⣴⡆⠈⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠻⠟⠛⠻⠛⢛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠉⢀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣀⣆⣈⣁⣀⣀⣀⣀⣀⣀⣀⣀⣈⣁⣘⣃⣀⣀⣀⣉⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠉⢉⣭⣿⣷⣶⣶⣶⣶⣒⣠⡄⠀⠀⢼⡇⠀⣀⠀⣀⠀⣀⡀⣀⡀⢀⡀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿
⠀⣿⣿⣿⣿⣿⡿⢛⠛⠛⠛⠛⠉⠁⠂⡇⢀⢟⡄⢿⣇⠻⣷⠹⣿⡈⣿⠘⣗⡀⣦⡄⣦⡜⢶⡆⢺⡆⢲⡄⢶⠀⣀⠀⣸⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⠀⢻⣿⣿⣿
⠀⣿⣿⡿⠿⠿⠇⠛⠃⠀⠀⠀⠀⠀⠀⡇⠘⠹⠇⠸⠏⠀⠿⠀⠿⠁⠿⠇⠸⠇⠘⠃⠘⠃⠈⠁⠀⠀⠀⠀⠈⠀⠋⢰⣿⣿⣟⣹⣿⣿⣿⣿⣆⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡟⢻⣿⢻⣶⣌⠛⠛⠛
⠈⠛⠃⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠠⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠄⠀⠀⠀⠀⠒⠒⠒⠒⡄⡼⣿⡟⢻⠫⣍⡇⠠⣿⣶⠈⠈⠈⠁⠀⡁⢀⣿⣿⢿⠛⣛⢛⠛⠋⡅⡅⠀⡿⠾⠿⢳⠆⠃⠀
⠠⠿⠇⠀⠀⠀⠀⠀⢴⣶⡦⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠰⣦⠀⠲⠆⠲⠆⢴⣦⣴⣧⣸⠂⣤⣠⢠⣼⣦⣻⠙⢰⣥⣤⡄⠀⠀⣀⣀⡂⠽⠯⠤⡀⠻⢻⣿⣿⣿⠀⠃⢰⣫⣽⣆⣾⠄⠀⠀
⠈⠋⠀⠀⠀⠀⠀⠀⠸⠗⠀⠀⠀⠘⠀⢸⠈⠀⠈⠀⠀⠀⠁⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⡃⠙⠹⢹⣿⣏⠀⠀⠀⢿⣿⢧⠀⠀⢠⣤⡔⠀⣸⡿⠉⣷⣿⢿⣛⠛⠀⠀⠉⣿⣿⣾⡟⠐⡀⠀
⠈⠉⠁⠀⠀⠀⠀⠀⢸⣿⠥⠄⠀⠀⠀⠸⠀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⠀⣀⡀⢀⣻⣿⣿⣿⠇⠀⢀⠘⢿⣿⣆⠀⣀⣾⠏⠈⠀⠀⠸⡋⣺⣿⣟⠃⢠⣿⡿⣿⣿⣿⡇⠀⠀⣿⣿⡿⠀⠀⠀⠀
⠒⠿⠿⠀⠀⠀⠀⠀⠘⠛⠃⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣶⣶⣿⣏⡀⠀⠀⠀⠚⠀⠿⠿⠟⠁⠘⢿⠷⠿⢟⢿⡇⠀⠀⣿⣿⠃⢀⠀⠀⠀
⠀⠀⠲⣶⠶⠆⠀⠀⠀⠀⠀⠀⢲⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣤⣤⣭⣤⣬⣽⣿⣿⣿⣿⣿⣿⣏⣟⡛⠛⣯⣯⡿⠃⠀⠀⠀⡄⠀⠀⠀⠀⠐⠲⠴⠿⢶⣶⣶⠶⠶⠦⠴⠾⠖⠀⠀⠀⠀⠀
⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣮⠉⢹⣶⣧⡀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠒⠀⠀⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠹⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣴⡆⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀
⠂⠀⠠⠤⠀⠀⣀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⡿⣛⠛⢃⣤⣁⡉⠉⠉⠉⠁⠉⠁⠉⠁⠀⠀⠉⠉⠀⠀⠀⠀⣶⣶⣶⣶⠄⠤⠄⢀⠀⠀⠐⠛⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣦⣄⠀⠀⣘⣛⣿⣽⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣟⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⠀⣀⡘⠿⠿⠛⢛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⡿⣭⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣭⣬⣉⣥⣽⣽⣿⣿⣿⣿⡛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⣿⡟⣿⠁⠀⠀⠀⢹⠿⠋⠀⢲⣤⡤⡄⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣏⡻⢷⡝⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠋⠃⠹⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⠚⠀⣠⡀⢈⣛⣷⣼⣮⣽⣧⣷⣐⣴⣶⣆⣂⣀⣠⣤⣀⣀
⣦⡙⢿⠢⠙⣎⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠻⠿⣿⣿⣛⡹⠽⢿⣿⣿⣿⣿⣟⣿⣿⢿⣿⣿⣿⣿⣿⣿
⠻⠉⠀⠀⠳⡘⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢺⣦⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⡀⠀⠁⡀⠁⢠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣄⣀⣀⡀⠀⠀⠈⠉⠛⠻⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣾⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢱⡄⠈⠀⢰⣿⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣦⣦⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⣴⡆⡈⠁⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠻⠟⠛⠻⠛⢻⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠉⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣈⣀⣆⣈⣁⣀⣀⣀⣀⣀⣀⣀⣀⣈⣁⣘⣃⣀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠉⢉⣭⣭⣭⣭⣧⣥⣤⣤⣤⠀⠀⠀⢼⡇⢀⣀⠀⣉⠉⣉⡉⣉⡉⠉⠉⢉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⢸⡷⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⣾⣿⣿⣿⣿⡿⠛⠛⠛⠛⠓⠒⠂⠂⡇⢀⣟⡄⢿⡇⠻⣵⠙⣿⠈⡷⠸⣇⡀⣦⡄⣦⡜⣴⡄⢲⡆⢶⡄⢶⠀⣀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⠀⢻⣿⣿⣿
⠀⠿⠿⠿⠿⠿⠇⠛⠃⠀⠀⠀⠀⠀⠀⡇⠘⢹⡇⠸⠏⠈⠿⠀⠿⠁⢿⠃⠹⠇⠘⠃⠘⠃⠈⠁⠈⠁⠈⠁⠈⠀⠋⢰⣿⣿⠟⣻⣿⣿⣿⣯⡄⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⢾⣿⢛⣶⣜⠿⠿⠿
⠈⠛⠃⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⢧⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠤⠤⠤⠤⠤⠤⠤⠤⠤⠀⠀⠀⠀⠐⠂⡀⡼⣿⡿⢿⠛⣏⡏⠹⣿⣼⠉⠉⠉⠉⠉⠉⢉⣿⣿⢿⠟⠛⠛⠛⠟⡄⡁⠈⡿⣾⣿⢣⠀⠃⠀
⠀⠿⠇⠀⠀⠀⠀⠀⣰⣶⡀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢠⣤⠀⢰⡄⢲⡄⢴⣆⣠⣦⣸⠆⣅⣈⢀⣵⣢⠛⠟⢸⣗⣣⡄⠀⠀⠀⡀⡄⣹⠏⠁⠀⠻⢿⣾⣾⣯⠁⠃⢰⣷⣥⣆⣾⣄⠀⠀
⠁⠑⠀⠀⠀⠀⠀⠀⠺⠗⠀⠀⠀⠚⠀⢸⠡⠀⠀⠀⠀⠀⠁⠀⠄⠀⠀⠀⠀⠁⠀⠈⠀⠀⠀⠀⠀⠘⣿⣿⣟⣿⡃⠙⢻⢸⣿⡏⠀⠀⠀⣿⣿⢧⠀⠀⢠⣤⡤⠂⣲⣶⠛⣷⣿⣿⠻⠿⠀⠀⢹⣿⣿⣾⡟⠘⡀⠀
⠈⠉⠁⠀⠀⠀⠀⠀⢸⣿⠤⠄⠀⠀⠀⠘⠀⢀⣀⣠⣤⣤⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⢀⡀⢀⠿⠿⣿⣿⠆⠀⠀⠘⣿⣿⣆⠀⠀⣿⡟⠘⠀⠀⠸⢋⢼⣿⣿⠇⢠⣿⣿⣿⣿⣿⠇⠀⢸⣿⣿⡿⠀⠀⠀⠀
⠐⠿⠿⠀⠀⠀⠀⠀⠀⠯⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣾⣿⣥⣤⣿⣏⠀⠀⠀⠀⠊⠰⠛⡿⡻⠃⠸⢿⡷⠿⡿⠿⡇⠀⠸⣿⣿⠃⢀⠀⠀⠀
⠀⠀⢰⣶⡶⠆⠀⠀⠀⠀⠀⠀⢲⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣤⣬⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣟⣿⠛⠛⣯⣟⡻⠇⠉⠀⠀⡀⠀⠀⠀⠀⠠⠶⠴⣿⣦⣦⣾⣤⣤⠤⠤⠾⠤⠀⠀⠀⠀⠀
⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣍⠉⢹⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠐⠲⠶⠒⠀⠀⠶⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀
⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⡀⠻⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠤⠄⠀⠀⠶⠀⠀⠀⠀⠀⠀⠀⠀
⠂⠀⠠⠤⠀⠀⣀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⣿⣟⠛⢉⣤⣈⡉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠉⠉⠁⠀⠀⠰⣦⣤⣦⣤⠀⢤⣄⢈⠁⠀⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣦⣄⠀⠀⣘⣛⣷⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⠀⣀⠘⠿⠿⠟⢓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣭⣌⣉⣥⣽⣽⣿⣿⣿⣷⡛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⣿⡟⣿⠁⠀⠀⠀⢽⡿⠛⠀⢦⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣟⠻⣮⡝⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠁⠿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⠚⠀⣀⠀⠘⢻⣿⣿⣯⣿⣟⣲⣤⢶⡦⣂⣀⣀⣠⣄⣀⣀
⣮⡙⢟⠊⠳⣌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠺⠶⣿⡿⢛⢫⢽⣿⣿⣿⣿⣟⡛⡻⠊⡿⣿⢿⣿⣿⣿⣿
⠻⠙⠀⠀⠥⡘⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠻⣿⣿⣿⣿⣂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠫⠀⣼⣦⣤⣤⣾⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿
⠀⠀⠀⠀⡐⠃⢠⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣄⣀⣀⠀⠀⠀⠉⠙⠛⠿⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣶⣷⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢳⡄⠈⠀⢰⣿⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⣴⡄⠐⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠻⠟⠛⠻⠛⣻⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠉⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣈⣀⣆⣈⣁⣀⣀⣀⣀⣀⣀⣀⣀⣈⣁⣘⣃⣀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠉⢉⣭⣭⣭⣭⣯⣤⣤⣤⣠⠀⠀⠀⢼⡇⢀⢀⠀⣉⠉⣉⡉⣉⡉⠉⠉⢉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⢸⡷⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⣾⣿⣿⣿⣿⡿⠛⠛⠛⠛⠓⠒⠀⠂⡇⢀⢟⡄⢿⡇⠻⣷⠙⣿⠈⡷⠸⣷⡐⣦⡄⣦⡼⣴⡄⢲⡆⢶⡄⢶⠀⣀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⠀⢻⣿⣿⣿
⠀⠿⠿⠿⠿⠿⠇⠛⠃⠀⠀⠀⠀⠀⠀⡇⠈⢹⡇⢸⠏⠈⠿⠀⠿⠁⢿⠃⠹⠇⠘⠃⠘⠃⠈⠁⠈⠁⠈⠁⠈⠀⠋⢰⣿⣿⠟⣻⣿⣿⣿⣯⡄⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⢾⣿⢛⣶⣜⠿⠿⠿
⠈⠛⠃⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⢧⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠤⠤⠤⠤⠤⠤⠤⠤⠤⠄⠀⠀⠀⠐⠒⡀⡼⣿⡿⢿⠻⣏⡏⠙⣿⣼⠉⠉⠉⠉⠉⠉⢉⣿⣿⢿⠟⠛⠟⠛⠟⡀⡁⠈⡿⣾⣿⢣⠀⠃⠀
⠠⠿⠇⠀⠀⠀⠀⠀⣰⣶⡄⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⢠⣤⠀⢰⡄⢰⡄⢴⣆⣠⣦⢸⠆⣄⣈⢀⣵⣢⢛⠻⢰⣗⣣⡄⠀⠀⡀⡀⡀⣹⠏⠁⠈⠻⢿⣾⣾⣿⠁⠃⢰⣷⣥⣆⣾⢄⠀⠀
⠀⠁⠀⠀⠀⠀⠀⠀⠺⠇⠀⠀⠀⠘⠀⢸⠁⠀⠀⠀⠀⠀⠃⠀⠄⠀⠀⠀⠀⠁⠀⠈⠀⠀⠀⠀⠀⠘⣿⣿⣟⣿⡃⠙⢻⢸⣿⡏⠀⠀⠐⣿⣿⢧⠀⠀⢠⣤⡤⠂⣲⣶⠛⣷⣿⣿⠻⠿⠀⠀⢹⣿⣿⣾⡟⠘⠀⠀
⠈⠉⠁⠀⠀⠀⠀⠀⢸⣿⠤⠄⠀⠀⠀⠘⠀⢀⣀⣠⣤⣤⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⢀⡀⢀⠿⠿⣿⣿⠃⠀⠀⠘⣿⣿⣄⠀⠀⣾⡟⠘⠀⠀⠸⢋⢼⣿⣿⡇⢠⣿⣿⣿⣿⣿⠇⠀⢸⣿⣿⡿⠁⠀⠀⠀
⠐⠿⠿⠀⠀⠀⠀⠀⠀⠫⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣶⣿⣥⣤⣿⣏⠀⠀⠀⠀⠊⠁⠿⣿⠿⠄⠸⢿⡷⠿⡿⠿⠇⠀⠸⣿⣿⠃⢀⠀⠀⠀
⠀⠀⢰⣶⣶⠆⠀⠀⠀⠀⠀⠀⢲⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣤⣤⣥⣤⣤⣬⣿⣿⣿⣿⣿⣿⣿⣟⣿⠟⠛⣯⣿⡿⠇⠉⠀⠀⡀⠀⠀⠀⠀⠠⠶⠴⣿⣶⣦⣾⣦⣤⠤⠤⠿⠤⠀⠀⠀⠀⠀
⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣍⠉⢽⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠐⠲⠶⠒⠀⠀⠶⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀
⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⡀⠻⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠤⠄⠀⠀⠶⠀⠀⠀⠀⠀⠀⠀⠀
⠂⠀⠠⠤⠀⠀⣀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⣿⣛⠟⢋⣤⣉⡉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠉⠉⠁⠀⠀⠰⣤⣤⣶⣤⠀⢤⣄⢈⠁⠀⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣦⣄⠀⠀⣘⣺⣷⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⡿⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⠀⣀⠙⠿⠿⠿⢒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣭⣌⣉⣥⣽⣿⣿⣿⣿⣷⡛⠛⠿⠿⠹⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⣿⡟⣿⠁⠀⠀⠀⢽⡿⠛⠀⢦⣀⣄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣟⠻⣦⡝⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠟⠉⠻⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⠚⠀⣀⠀⠘⠛⣿⣧⣿⣼⣧⢶⣠⡶⠶⣆⣀⣀⣀⣀⣀⣀
⣮⡙⠟⠊⠱⣌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠲⢾⣿⣿⣻⣯⢹⣿⣿⣿⣿⣽⡟⡗⣟⠛⠟⢿⣿⣿⣿⣿
⠻⠙⠀⠀⠡⡘⠺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠺⣿⣿⣿⣟⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⣼⣦⣤⣤⣾⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⣿⣿
⠀⠀⠀⠀⡐⠃⢠⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣀⣀⡀⠀⠀⠀⠉⠙⠛⠻⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣾⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢳⡄⠈⠀⢰⣿⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⣴⡄⠐⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠻⠿⠛⠻⠛⢻⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠋⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣈⣁⣆⣈⣉⣀⣀⣀⣀⣀⣀⣀⣀⣈⣁⣘⣃⣀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠉⢉⣭⣭⣭⣭⣭⣭⣥⣄⣤⠄⠀⠀⠼⣿⠀⣁⠁⣈⠉⣉⡉⣉⡉⠉⠉⢉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠸⡷⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿
⠀⣾⣿⣿⣿⣿⡿⠛⠛⠛⠛⠛⠒⠃⠂⣯⢀⢏⡆⢿⣇⠹⣷⠸⣿⡈⢷⠈⣷⡀⣧⡄⣦⡌⣰⡄⢲⡆⢲⡆⢰⠄⣀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⠀⢻⣿⣿⣿
⠀⢿⠿⠿⠿⠿⢇⠻⠓⠀⠀⠀⠀⠀⠀⢻⠈⢸⡇⠸⠯⠀⠿⠀⠿⠁⢻⠇⠸⠇⠘⠃⠘⠃⠈⠁⠈⠁⠈⠁⠈⠀⠉⢠⣿⣿⡟⣻⣿⣿⣿⣯⡆⡈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⢷⣿⣛⣶⣜⠻⠿⠿
⠈⠛⠃⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⢸⣀⣀⣀⣀⣀⣀⣀⡀⠀⠄⠀⠤⠤⠤⠤⠤⠤⠤⠤⠤⠄⠀⠀⠀⠐⠒⡀⡤⣿⡿⢿⠛⣏⡉⠉⣿⣼⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⡟⠛⠛⠛⠛⡇⡀⠀⣿⣾⣿⢣⡆⠇⠀
⠀⠿⠧⠀⠀⠀⠀⠀⣰⣶⡄⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠠⣤⠀⠰⡄⢰⡆⢴⣦⣤⣦⣸⡆⣅⣈⢀⣽⣦⠟⠛⢰⣗⣃⡄⠀⠀⠀⡀⡂⣹⠟⠁⠀⠻⢿⣾⣿⣿⠁⠃⢠⣿⣦⣆⣾⡄⠀⠀
⠁⠓⠀⠀⠀⠀⠀⠀⠺⠿⠀⠀⠀⠘⠀⢸⠠⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠐⠀⠀⠀⠈⠀⠀⠀⠀⠀⠘⣿⣿⣟⣯⡃⠙⠙⠸⣿⡏⠀⠀⠀⣿⣿⡇⠀⠀⣄⣤⡤⠂⣲⣶⠛⣷⣾⣿⠻⠿⠀⠀⠁⣿⣿⣾⡿⠐⡀⠀
⠈⠉⠉⠀⠀⠀⠀⠀⢸⣿⠦⠄⠀⠀⠀⠸⠀⢀⣀⣠⣤⣤⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⢀⡀⠀⢻⠿⣿⣿⡆⠀⠀⠀⢿⣿⣆⠀⠀⣿⡟⠀⠀⠀⠸⢯⢼⣿⣿⡿⠀⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⠁⠀⠅⠀
⠀⠿⠿⠀⠀⠀⠀⠀⠘⠻⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣶⣿⣥⣤⣿⣏⠀⠀⠀⠀⠈⠁⠿⣿⠿⠁⠸⢿⡷⠿⡿⠿⡇⠀⠀⣿⣿⠃⢀⠄⠀⠀
⠀⠀⠰⣶⣶⠆⠀⠀⠀⠀⠀⠀⢲⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣤⣤⣤⣤⣼⣯⣿⣿⣿⣿⣿⣿⣟⣻⠿⠛⣯⣬⣻⠇⠉⠀⠀⡄⠀⠀⠀⠀⠠⠶⠦⣿⣦⣶⣶⣦⣤⠤⠤⠭⠥⠀⠀⠀⠀⠀
⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣯⠉⢹⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠶⠒⠀⠀⠦⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀
⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠻⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠤⡄⠀⠀⠶⠀⠀⠀⠀⠀⠀⠀⠀
⠂⠀⠠⠤⠀⠀⢀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⣿⣿⣛⠛⢋⣤⣁⡉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠉⠉⠁⠀⠀⠠⣤⣤⣦⣤⠄⠤⣄⢈⠁⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣦⣄⠀⠀⢈⣙⣓⣦⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⠀⠀⠘⠿⠿⠟⢒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⡿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣭⣬⣉⣥⣿⣽⣿⣿⣿⣿⣟⠛⠿⠿⠹⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⣿⡟⣿⠁⠀⠀⠀⢵⡿⠟⠀⢦⣄⣈⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣟⠻⣦⡝⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠻⠉⠻⣿⣿⣿⣿⣿⣿⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⠚⠀⣀⠀⠘⠻⣿⣷⣴⡽⣯⣆⣦⣶⣤⣤⣄⣀⣄⣠⣀⣀
⣮⡙⢟⠂⠻⣌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠶⠿⣿⣿⡟⢫⣿⣿⣿⣿⣿⣿⣿⣗⢿⣺⣿⠿⣿⣿⣿⣿
⠛⠙⠀⠀⠡⡑⠞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢺⣿⣿⣿⣿⡓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⣾⣦⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠃⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣄⣀⣀⠀⠀⠈⠉⠙⠛⠿⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣴⣾⣿⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢳⡄⠀⠀⢠⣿⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠈⠀⠀⣴⡄⠘⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠻⠿⠛⠻⠻⢻⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠋⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣈⣁⣆⣈⣁⣀⣀⣀⣀⣀⣀⣀⣀⣈⣁⣘⣃⣀⡀⢀⣉⣀⣀⠀⠀⠀⠀⢀⡀⢀⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠉⢉⣭⣽⣭⣭⣭⣥⣴⣀⣤⠀⠀⠀⠼⣿⢀⣀⠀⣈⠉⢉⡉⣉⡉⠉⠉⢉⠉⠉⠉⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠸⡷⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿
⠀⣾⣿⣿⣿⣿⡿⠛⠛⠛⠛⠛⠒⠃⠂⣏⢠⢟⡄⢿⣇⠹⣷⠸⣿⡈⡷⠈⣷⡐⣧⡄⣦⡜⣴⡄⢲⡆⢲⡆⢲⠀⣀⠀⣸⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⠀⢻⣿⣿⣿
⠀⢿⠿⠿⠿⠿⢇⠛⠓⠀⠀⠀⠀⠀⠀⢻⠈⢸⡇⠸⠯⠀⠿⠀⠿⠁⢻⠇⠸⠇⠘⠃⠘⠃⠈⠁⠈⠁⠈⠁⠈⠀⠉⢰⣿⣿⡟⣻⣿⣿⣿⣯⡆⡈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⢷⣿⣛⣶⣜⠻⠟⠿
⠈⠛⠃⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⢸⢀⣀⣀⣀⣀⣀⣀⣀⠀⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠀⠀⠀⠀⠂⠒⡀⡤⣿⡿⢿⠛⣏⡍⠉⣿⣼⠉⠉⠉⠉⠉⠉⢉⣿⣿⢿⡟⠛⠛⠛⠛⡇⡀⠀⣿⣾⣿⢣⠄⠇⠀
⠀⠿⠧⠀⠀⠀⠀⠀⣰⣶⡄⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠠⣤⠀⢰⡆⢰⡆⢴⣦⣰⣦⣸⡆⣅⣈⢰⣼⣦⠙⠻⢰⣷⣃⡄⠀⠀⠀⡀⡂⢹⠏⠁⠀⠻⢿⣾⣿⣿⠁⠃⢰⣷⣥⣆⣾⣄⠀⠀
⠀⠑⠂⠀⠀⠀⠀⠀⠸⠿⠀⠀⠀⠘⠀⢸⢠⠀⠈⠀⠀⠀⠁⠀⠀⠀⠀⠘⠀⠀⠀⠈⠀⠀⠀⠀⠀⠘⣿⣿⣟⣿⡇⠙⢹⠛⣿⡏⠀⠀⠀⣿⣿⡇⠀⠀⢄⣤⡤⡂⣰⣶⠋⣷⣾⣿⠛⠿⠀⠂⠁⣿⣿⣾⡟⠐⡀⠀
⠈⠉⠉⠀⠀⠀⠀⠀⢸⣿⡦⠄⠀⠀⠀⠸⠀⢀⣀⣠⣤⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⣀⡀⠀⠀⢀⡀⠀⣻⠿⣿⣿⡇⠀⠀⠀⣿⣿⣆⠀⠀⣾⡟⠀⠀⠀⠸⣫⣼⣿⣿⠇⠀⣿⡿⣿⣿⣿⡇⠀⠀⣿⣿⡿⠁⠀⠁⠀
⠀⠿⠿⠀⠀⠀⠀⠀⠘⠟⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣥⣤⣿⣏⠀⠀⠀⠀⠚⠁⠾⣿⣿⠀⠨⣿⡷⠿⡿⡿⡇⠀⠀⣿⣿⠃⢀⠄⠀⠀
⠀⠀⠰⣶⡶⠆⠀⠀⠀⠀⠀⠀⢲⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣬⣤⣬⣥⣭⣿⣿⣿⣿⣿⣿⣿⣟⣿⠟⠛⣯⣭⣻⠇⠉⠀⠀⡄⠀⠀⠀⠀⠠⠲⠦⣿⣶⣶⣶⣶⡤⠤⠤⠭⠥⠀⠀⠀⠀⠀
⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣮⠉⢹⣶⣶⡀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠶⠒⠀⠀⠦⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀
⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠻⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠤⡄⠀⠀⠶⠀⠀⠀⠀⠀⠀⠀⠀
⠂⠀⠠⠤⠀⠀⢀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⣿⣿⣛⠛⢋⣬⣈⡉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠘⠋⠁⠀⠀⠠⣤⣤⣴⣤⠄⠤⣄⢈⠁⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣦⣄⠀⠀⢈⣱⣳⣦⣶⣶⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⠀⢀⠘⢿⠿⠿⢓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⡿⣽⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣌⣉⣥⣽⣽⣿⣿⣿⣿⣛⠛⠿⠿⠹⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⣿⡟⣿⠁⠀⠀⠀⢵⡿⠟⠀⢢⣄⣀⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣟⠻⣦⡝⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠻⠉⠻⢿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⠚⠀⣀⡀⠘⠻⣾⣷⣥⣥⣿⣄⣰⣖⢦⣠⣀⣀⣠⣤⣀⣀
⣦⡙⢿⠢⠹⣎⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠷⠾⣿⡿⠛⢯⢽⣿⣿⣿⣾⢯⣿⣿⠷⣼⠿⡿⣿⣿⣿⣿
⠻⠉⠀⠀⠴⡘⢚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠺⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⣽⣦⣤⣴⣼⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿
⠀⡀⠀⠁⡀⠋⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣄⣀⡀⠀⠀⠀⠉⠙⠛⠿⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣾⣿⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢳⡄⠈⠀⢠⣿⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⣴⠄⠘⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠻⠿⠛⠻⠛⢻⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠉⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣀⣆⣈⣁⣀⣀⣀⣀⣀⣀⣀⣀⣈⣁⣈⣃⣀⣀⣀⣈⣀⣀⣀⣀⣀⣀⣀⣀⣀⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠁⢀⣤⣶⣶⣶⣶⣶⣶⣂⣠⣀⠀⠀⠼⣿⠀⣀⠀⣀⡀⢀⡀⣀⡀⢀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡷⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿
⠀⣾⣿⣿⣿⣿⡿⢛⡛⠛⠛⠛⠉⠁⠂⣯⢠⢏⡆⢻⣇⠹⣷⠘⣿⡈⣿⡈⣷⡀⣷⡄⣦⡌⢶⡆⢸⡆⢲⡆⢲⠀⣠⠀⣸⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣅⠀⢹⣿⣿⣿
⠀⣿⡿⠿⠿⠿⠇⠛⠓⠀⠀⠀⠀⠀⠀⢇⠈⠸⠇⠸⠏⠀⠿⠀⠿⠁⠹⠇⠸⠇⠘⠃⠘⠃⠈⠁⠀⠀⠀⠀⠈⠀⠈⢰⣿⣿⣟⣻⣿⣿⣿⣿⡆⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⢻⣿⢛⣶⣌⠻⡛⠛
⠈⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠀⠀⠀⠐⠒⠒⠒⠒⡀⡴⣿⡿⢿⠛⣍⡅⠀⣿⣶⠀⠀⠀⠀⠀⠀⢀⣿⣿⠿⠟⢛⢛⠋⠋⡇⡅⠀⡿⠾⠿⢳⠆⠃⠀
⠀⠙⠃⠀⠀⠀⠀⠀⣴⣶⠤⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠰⣦⠀⠰⠆⠲⠆⢴⣦⣴⣧⣸⡆⣄⣄⢰⣵⣦⠛⠙⢰⣥⣤⡄⠀⠀⣀⣀⠂⠼⠿⠤⠀⠻⢻⣿⣿⣯⠁⠃⢰⣫⣽⣆⣾⢦⠀⠀
⠁⠀⠀⠀⠀⠀⠀⠀⠸⠗⠀⠀⠀⠘⠀⢸⠠⠀⠀⠀⠀⠀⠁⠀⠄⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⡃⠙⠹⠙⣿⣏⠀⠀⠀⣿⣿⠇⠀⠀⢤⣤⡴⡀⣸⣿⠉⣷⣿⢿⣛⠛⠀⠀⠉⣿⣿⣾⡟⠈⡀⠀
⠀⠉⠑⠀⠀⠀⠀⠀⢸⣿⡧⠄⠀⠀⠀⠘⠀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⢀⣻⣿⣿⣿⡇⠀⢀⠁⢿⣿⣦⡀⣀⣾⡏⠀⠀⠀⠸⣫⢾⣿⣿⡃⢀⣿⡿⣿⣿⣿⡇⠀⠀⣿⣿⡿⠁⠀⠁⠀
⠐⠿⠿⠀⠀⠀⠀⠀⠈⠛⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣏⡀⠀⠀⠀⠚⠁⠟⢿⠿⠃⠠⢿⡿⠿⢿⢽⡇⠀⠀⣿⣿⠃⢠⠆⠀⠀
⠀⠀⠲⣶⠶⠆⠀⠀⠀⠀⠀⠀⢲⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣤⣤⣤⣤⣭⣽⣿⣿⣿⣿⣿⣿⣏⣿⡛⠛⣯⣯⣹⠃⠀⠀⠀⡆⠀⠀⠀⠀⠐⠲⠴⠿⠶⣶⣶⠴⠶⠦⠤⠾⠖⠀⠀⠀⠀⠀
⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣮⠉⢹⣶⣶⡀⠀⠀⠀⠀⠀⠀⠀⠐⠚⠛⠒⠀⠀⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠹⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣠⡆⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀
⠃⠀⠠⠤⠀⠀⣀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⣿⣿⣛⠛⢉⣥⣈⡀⠉⠈⠉⠈⠉⠉⠉⠉⠀⠀⠈⠉⠀⠀⠀⠐⣶⣶⣶⣦⠀⠤⠄⢀⠁⠀⠐⠓⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣦⣄⠀⠀⣈⣻⣽⣽⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⠀⢀⡘⠿⠿⠟⢛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⡿⣽⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣬⣉⣥⣽⣿⣿⣿⣿⣿⡛⠛⠿⠿⠹⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⢿⡟⣿⠁⠀⠀⠀⢻⡿⠋⠀⢢⣄⣄⡀⢀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣏⡻⢶⡝⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠻⠋⠛⢿⣿⣿⣿⣿⣿⣿⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⠚⠄⣠⡀⠈⢛⣧⣧⣶⣿⣷⡄⣴⠰⣴⣶⣆⣤⣤⣤⣀⣀
⣦⡙⢿⠂⡹⣎⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠻⠿⢿⣿⡛⢫⠿⣿⣿⣿⣷⣽⣿⡾⢿⡹⣿⣿⡿⣿⣿⣿
⠻⠉⠀⠀⠵⡐⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠺⣿⣿⣿⣯⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢾⣶⣴⣶⣾⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿
⠀⡀⠀⠁⡀⠃⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣄⣀⣀⣀⠀⠀⠈⠉⠛⠻⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣾⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢳⡄⠀⠀⢰⣿⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣶⣶⣶⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⣶⡂⡈⠂⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠻⠟⠛⠻⠛⢻⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠉⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣀⣆⣈⣁⣀⣀⣀⣀⣀⣀⣀⣀⣈⣁⣈⣃⣀⣀⣀⣈⣀⣀⣀⣀⣀⣀⣀⣀⣀⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠁⢀⣬⣶⣶⣶⣶⣶⣶⣔⣤⣀⠀⠀⠼⣿⠀⣀⠀⣀⠀⢀⡀⣀⡀⢀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿
⠀⣾⣿⣿⣿⣿⡿⢛⡛⠛⠛⠛⠈⠁⠂⣿⢠⢏⡆⢿⣇⠹⣷⠘⣿⡀⣗⡈⣷⡀⢷⡄⢦⡌⢶⡆⢸⡆⢲⡆⢲⠀⣠⠀⣸⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣅⠀⢹⣿⣿⣿
⠀⣿⡿⠿⠿⠿⠇⠛⠓⠀⠀⠀⠀⠀⠀⢇⠘⠸⠇⠸⠏⠀⠿⠀⠿⠁⠹⠇⠸⠇⠘⠃⠘⠃⠈⠁⠀⠀⠀⠀⠈⠀⠈⢰⣿⣿⣝⣻⣿⣿⣿⣿⡆⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡟⢻⣿⢛⣶⣌⠻⡛⠛
⠈⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠀⠀⠀⠐⠒⠒⠒⠒⡀⡴⣿⡿⢿⠙⣏⡇⠀⣿⣶⠀⠀⠀⠀⠀⠀⢀⣿⣿⠿⠟⢛⢛⠋⠋⡇⡄⠀⡿⠿⠿⢳⠆⠃⠀
⠀⠝⠃⠀⠀⠀⠀⠀⣴⣶⠤⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠰⣦⠀⠰⠆⠲⠆⢴⣦⣴⣧⣸⡆⣄⣄⢰⣷⣦⠃⠛⢰⣥⣤⡄⠀⠀⣀⣀⠂⠸⠿⠤⡀⠻⢻⣿⣿⣿⠀⠃⢰⣫⣽⣆⣾⢆⠀⠀
⠁⠁⠀⠀⠀⠀⠀⠀⠸⠗⠀⠀⠀⠘⠀⢸⢨⠀⠈⠀⠀⠀⠁⠀⠄⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⡃⠙⠹⠙⣿⣏⠀⠀⠀⣿⣿⠇⠀⠀⣤⣤⡴⠁⣸⣿⠉⣷⣿⢿⣛⠛⠀⠀⠉⣿⣿⣾⡟⠈⡀⠀
⠀⠉⠑⠀⠀⠀⠀⠀⢸⣿⡧⠄⠀⠀⠀⠘⠀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⢀⣻⣿⣿⣿⡇⠀⢀⠀⢿⣿⣮⠀⣀⣾⡟⠀⠀⠀⠸⣫⢾⣿⣿⠃⢀⣿⡿⣿⣿⣿⡇⠀⠀⣿⣿⡿⠀⠀⠃⠀
⠐⠿⠿⠀⠀⠀⠀⠀⠘⠛⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣏⡀⠀⠀⠀⠚⠀⠻⠿⠏⠅⠀⣿⡿⠿⢿⠽⡇⠀⠀⣿⣿⠃⢠⠄⠀⠀
⠀⠀⠲⣶⠶⠆⠀⠀⠀⠀⠀⠀⢲⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣤⣤⣬⣤⣬⣭⣽⣿⣿⣿⣿⣿⣟⣿⡛⠛⣯⣭⣹⠃⠀⠀⠀⡆⠀⠀⠀⠀⠐⠲⠴⠿⠶⣶⣶⠴⠶⠤⠴⠾⠗⠀⠀⠀⠀⠀
⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣮⠉⢹⣶⣶⡀⠀⠀⠀⠀⠀⠀⠀⠘⠚⠛⠒⠀⠀⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠄⠹⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣠⡆⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀
⠂⠀⠠⠤⠀⠀⣀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⣿⣛⠛⢉⣤⣀⡀⠉⠉⠈⠈⠀⠁⠉⠉⠁⠀⠈⠉⠀⠀⠀⠐⣶⣶⣶⣦⠀⠤⠄⢀⠁⠀⠐⠓⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣦⣄⠀⠀⣘⣻⣯⣭⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⡿⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⠀⢀⡘⠿⠻⠟⢛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⡿⣿⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣬⣉⣥⣿⣽⣿⣿⣿⣿⣛⠛⠿⠿⠹⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⣿⡟⣿⠁⠀⠀⠀⢻⡿⠋⠀⢢⣤⢀⣄⣀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣏⡻⢶⡝⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠉⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⠚⠄⣠⡀⠈⢛⣧⣷⣯⣮⣿⣦⣦⣴⣦⣲⣆⣠⣤⣤⣄⣀
⣦⡙⢿⠢⠹⣎⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠛⠿⢿⣿⡛⢯⠼⣿⣿⣿⣿⣿⣾⡷⠟⣟⠻⢿⣿⣿⣿⣿
⠻⠙⠀⠀⠰⡐⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠺⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢺⣶⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⡀⠀⠀⡀⠃⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣄⣀⣀⡀⠀⠀⠈⠉⠛⠻⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣾⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢳⡄⠀⠀⢰⣿⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣶⣶⣶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⣶⠂⡈⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠿⠿⠛⠻⠛⢻⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣁⣀⣀⣀⣀⣀⣀⣀⣀⡠⠤⠤⠤⠤⠤⣶⠤⠤⠤⠤⣤⣤⣤⣤⡤⢤⡤⡤⠤⠥⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⡆⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿
⠀⢀⣴⣶⣶⣶⣶⣶⣶⣠⣶⣆⠀⠀⠐⣿⢀⣤⡀⣠⡄⢠⣄⢠⣤⠠⣄⢀⡄⠀⡀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠇⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⢿⣿⣿⣿
⠀⢸⣿⣿⣿⣿⡿⣛⣋⠉⠉⠉⠉⠁⠀⢻⠘⢹⣇⠸⣿⠘⣿⡌⢷⡇⢻⡄⢿⣄⢻⡦⢹⣆⢾⡇⠸⠇⠸⡇⢸⡇⢰⠆⣰⣿⣿⣿⣿⣿⣿⣿⠟⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣷⣄⠠⣿⣿⣿
⢀⣘⣛⠛⠛⠛⠻⠙⠋⠀⠀⠀⠀⠀⠀⢸⠀⠸⠇⠀⠛⠀⠛⠂⠘⠃⠸⠇⠘⠃⠈⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣏⣽⣿⢿⠯⣿⠟⠤⠾⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠉⣿⣇⣿⡷⠈⠉⠉
⠀⢉⡁⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⢸⠤⠤⠤⠤⠤⠤⠄⠒⠐⠒⠒⠒⠒⠒⠒⠒⠒⠒⠀⠀⠀⠀⠉⠉⠉⠉⡄⠆⠻⠟⣻⡃⢺⣼⠀⡿⣾⠀⠀⠀⠀⠀⠄⢠⣿⠿⠫⢋⣩⣉⣍⣩⡗⣤⠀⡾⡽⠛⢃⠇⠀⠀
⠀⢘⠛⠀⠀⠀⠀⠀⠨⣿⠅⠀⠀⢀⠀⢸⠀⡀⠀⠀⠀⠀⠀⠀⡄⠀⠀⢀⠀⠀⠀⠷⠆⠘⠷⠘⠓⠸⣿⣶⣿⡮⡏⢸⣶⡄⣾⣷⠅⠘⠀⣶⣶⡆⠀⠀⠠⠄⠀⢐⢛⣀⡀⣈⢻⣿⣿⣾⡇⠀⠀⣷⣾⣇⣿⡏⠀⠀
⢀⣙⣁⡀⠀⠀⠀⠀⠘⠛⠁⠀⠀⠈⠁⢸⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣯⣿⡏⠈⠉⠟⣿⣿⡀⡀⠀⠻⣿⠇⡆⠀⠀⣿⢟⣄⣼⡿⠃⣼⣿⣿⣯⣭⣤⠀⠀⣿⣿⣿⡟⠀⠀⠀
⠀⣀⣐⠀⠀⠀⠀⠀⠨⣿⠏⠀⠀⠀⠀⠀⢀⣀⣤⣴⣶⣶⣶⣶⣶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣄⣠⣤⣀⣼⣿⣿⣿⣇⣀⣀⣄⣛⣿⡿⠄⣠⣾⠏⠀⡇⠀⢀⡡⢨⣿⣿⡟⠀⣿⣿⣿⣿⣿⣯⠀⠀⣿⣿⡿⠁⠀⠀⠀
⠀⠛⠛⠃⠀⠀⠀⠀⠀⠛⠃⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠻⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠤⠀⠁⠀⠈⠀⠉⠙⠉⢀⠀⢫⡟⠛⠻⡽⠧⠀⠀⠻⡻⠃⠀⠇⠀⠀
⠀⠀⠀⠿⠿⠗⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣮⣍⣉⡹⡿⣾⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣛⣛⣛⠛⠛⠛⠛⢛⡚⠉⠉⠁⠀⠀⠀⠀
⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠘⢿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡻⠷⠄⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⢿⡿⣿⣿⣿⡷⠆⠈⠻⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠯⠀⠀⣉⡁⠀⠀⠀⠀⠀⠀⠀
⣉⡀⠀⠒⠀⠀⣀⡄⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⣿⣿⣛⠛⢋⣥⣀⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣇⡚⠒⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀
⣿⣷⣦⣀⣀⣀⣭⣽⣷⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⢠⣠⣤⡙⠛⠉⠩⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⡻⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣭⣌⡉⣡⣭⣽⣿⣿⣿⣿⣛⠛⠿⠿⠹⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⢿⡟⣿⠁⠀⠀⠀⢘⠟⠋⠀⢘⣷⣲⣔⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡿⣿⣝⠻⣮⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠉⠈⢻⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⢀⣈⣁⣶⣦⣀⣈⣽⣿⣯⣾⣴⣴⢦⣶⣮⣨⣥⣶⣶⣷⣶⣤
⣷⣌⠛⠃⠌⢳⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢙⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠯⠳⡟⠛⠿⢿⣿⣿⣿⣭⣽⣿⣿⣿⣿⣽⣿⣿
⠙⠁⠀⠀⠈⢢⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠘⠻⢿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⢺⣿⣿⣿⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢀⠀⠀⡀⠉⢀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣤⣄⣀⣀⣀⣀⢈⡉⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠘⡦⠀⠀⠀⢿⠁⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⣰⠓⠀⡁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠙⠟⠛⠻⠓⠛⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣉⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⣤⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣥⣤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⡄⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿
⠀⢀⣴⣶⣶⣶⣶⣶⣶⣤⣶⣖⠀⠀⠰⣿⢀⣤⡀⣤⡄⢠⣄⢠⣤⠀⣀⢀⡀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠇⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⣿⣿⣿⣿
⠀⢸⣿⣿⣿⣿⣿⣛⣛⠉⠉⠉⠉⠁⠀⢻⠘⢸⣇⠘⣿⠘⣿⡌⢻⡇⢹⡄⢿⣄⢻⡦⢰⡆⢾⡇⠸⡇⠸⡇⢸⡇⢰⡆⣠⣿⣿⣿⣿⣿⣿⣿⠟⠛⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣷⣄⠨⣿⣿⣿
⢀⣸⣟⡻⠿⠛⠻⠙⠋⠀⠀⠀⠀⠀⠀⢸⠀⠸⠏⠀⠛⠀⠚⠂⠘⠃⠸⠇⠘⠃⠈⠁⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⣿⣿⣏⣽⣿⢿⠯⣿⠟⠤⠾⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠉⣿⡏⣿⣷⠌⠋⠉
⠀⢙⡃⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⢸⠤⠤⠤⠤⠤⠤⠤⠤⠀⠐⠒⠐⠒⠒⠒⠒⠒⠒⠒⠂⠀⠀⠉⠉⠉⠉⡀⡆⠻⠟⣻⡃⢺⣼⡀⡿⢾⠀⠀⠀⠀⠀⠄⢠⣿⡿⠛⢃⣩⣉⣍⣩⡷⣴⠀⣹⡝⠛⢋⡇⠀⠀
⠀⢘⠛⠀⠀⠀⠀⠀⢨⣿⡤⠀⠀⢀⠀⢸⡀⡀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠠⠀⠀⠀⢷⠆⠘⠷⠘⠓⠸⣿⣶⣷⡎⡏⢴⣴⣄⣿⣧⠏⠛⠁⣶⣶⡆⠀⠀⠠⠄⠈⢐⢛⣒⡀⢈⢻⣿⣿⣿⡇⠀⠀⣯⣾⣇⣿⡏⠀⠀
⢀⣘⣁⡀⠀⠀⠀⠀⠘⠛⠁⠀⠀⠈⠁⠈⢘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣯⣿⠏⠈⠉⠁⣿⣿⡀⡀⠀⢻⣿⡇⡆⠀⠀⣾⢟⣅⣴⣿⠃⣼⣿⣿⣯⣭⣅⠀⠀⣿⣿⣿⡟⠀⠀⠀
⠀⣀⣐⠀⠀⠀⠀⠀⠈⣿⡟⠀⠀⠀⠀⠀⢀⣀⣤⣴⣶⣶⣶⣶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣀⣠⣤⣀⣼⣿⣿⣿⡏⣀⣀⣄⣹⣿⡿⠄⣠⣾⡟⠀⡇⠀⠀⡩⢨⣿⣿⡛⠀⣿⣿⣿⣿⣿⣯⠀⠀⣿⣿⣿⠁⠀⠀⠀
⠀⠛⠛⠃⠀⠀⠀⠀⠀⠛⡃⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠟⠿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠤⠀⠁⠀⠈⠀⠉⠛⠛⠂⠀⢫⠟⠛⠛⡽⠯⠀⠀⠻⡿⠃⠀⠇⠀⠀
⠀⠀⠀⠿⠿⠿⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣾⣍⣉⠻⡿⣾⡋⢀⠀⠀⠄⠀⠀⠀⠀⠀⠉⣛⣛⣛⠛⠛⠛⠛⢛⡚⠋⠉⠁⠀⠀⠀⠀
⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠘⢿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡻⠷⠄⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⡄⠈⠻⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠿⠀⠀⣉⡁⠀⠀⠀⠀⠀⠀⠀
⣋⡀⠀⠒⠀⠀⣀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⣿⣿⣛⠛⢋⣥⣀⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣇⡘⠒⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣦⣀⣀⣀⣨⣿⣿⣾⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⡿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⠠⣠⣤⡝⢏⠋⠉⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⡻⣝⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣭⣌⣉⣡⣽⣽⣿⣿⣿⣿⣟⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⣿⡟⣿⠁⠀⠀⠀⢀⠟⠋⠀⠈⣿⣶⣴⢢⣠⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡿⣿⣝⠻⣦⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠿⠛⠋⠙⣻⣿⣿⣿⣿⣿⡿⠇⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⣈⣑⣶⣦⣀⣬⣽⣿⣿⣿⣿⣶⣵⣿⣿⣧⣯⣷⣶⣷⣶⣶
⣷⣌⠙⠗⠈⢳⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡤⠀⠀⠀⠀⢙⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⢿⣯⢿⡟⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠙⠂⠁⠀⠐⢢⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠀⠀⠀⠀⠘⠻⣿⣿⣿⣭⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣁⢻⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢀⠀⠀⠀⠉⠀⡦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣤⣄⣀⣀⣀⣀⠈⡉⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠈⡷⠀⠀⠀⢾⡅⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⣰⠓⠀⡁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠹⠟⠛⠻⠛⠛⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣉⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣦⣄⣤⣄⣤⣠⣄⣠⣤⣀⣀⣀⣀⣈⣁⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⣀⡄⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿
⠀⢀⣴⣶⣶⣶⣶⣶⣶⣲⣴⡂⠀⠀⠸⣿⠀⣠⠀⣤⡀⢤⡄⢠⣄⢀⡀⢀⡀⠀⡀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡗⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿
⠀⣾⣿⣿⣿⣿⡟⣛⡛⠋⠉⠉⠉⠁⠁⣿⢰⢏⡇⢻⣇⠘⣿⠘⣯⡄⣿⡀⢿⡄⢷⡆⢷⡆⢸⡆⢸⡇⢸⡇⢸⡂⢠⠄⣸⣿⣿⣿⣿⣿⣿⣿⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡿⣿⣥⡀⢨⣿⣿⣿
⢀⣻⣿⡿⠿⠿⠧⠛⠃⠀⠀⠀⠀⠀⠀⢸⠀⠸⠅⠘⠟⠀⠛⠀⠘⠃⠸⠅⠸⠇⠈⠁⠈⠁⠈⠁⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣋⣽⣿⣿⣿⣿⡇⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠉⣿⢯⣿⡦⠙⡉⠉
⠀⠙⠃⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⢸⠀⠠⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠄⠐⠒⠒⠒⠒⠒⠒⠒⠒⠀⠀⠀⠀⡀⡞⢿⠟⠻⠉⢧⣼⠀⡿⡾⠀⠀⠀⠀⠀⠀⣠⣿⡿⠛⣋⣩⣉⣉⣉⡇⡤⠀⡿⣿⠿⢡⠃⠃⠀
⠀⠘⠓⠀⠀⠀⠀⠀⢸⣿⡤⠀⠀⠀⠀⢸⠀⡀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠐⣶⡄⠸⠦⠸⠇⢺⣷⣴⣷⣼⡇⣶⣤⣠⣾⣷⠊⠈⠰⣯⣥⡆⠀⠀⠀⠤⠀⠘⠛⠀⣀⡙⢻⣿⣿⣿⠁⠁⡰⣧⣶⣇⣿⠇⠀⠀
⣀⣛⣀⣀⡀⠀⠀⠀⠸⠟⠁⠀⠀⠘⠀⢸⢰⠁⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣯⣷⠇⠈⠘⠉⣿⣿⠀⠀⠀⢿⣿⠇⠀⠀⢆⣦⢂⣅⣽⣿⠁⣽⣿⢿⣍⣋⡀⠁⠀⣿⣿⣿⡟⠀⡄⠀
⠀⣀⠐⠀⠀⠀⠀⠀⢸⣿⡯⠀⠀⠀⠀⠈⠈⣀⣠⣤⣤⣶⣶⣤⣤⣤⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⣄⣀⣜⣛⣿⣿⡇⣀⣀⣀⠿⣿⣷⡄⣠⣿⠏⠀⠀⠀⠸⡫⢺⣿⣿⡏⠀⣿⡿⣿⣿⣿⡇⠀⠀⣿⣿⡿⠁⠀⡇⠀
⠒⠛⠿⠃⠀⠀⠀⠀⠀⠛⡃⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⢿⠿⣻⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣧⣀⠀⠀⠀⠈⠀⠘⠛⠛⠁⠀⢿⠟⠛⠛⠛⠇⠀⠀⢿⡿⠃⠀⠇⠁⠀
⠀⠀⠀⠶⠾⠇⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣦⣤⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣯⣽⣛⡉⢿⣾⣽⠃⠀⠀⠀⠆⠀⠀⠀⠀⠀⠙⠚⠛⠿⠿⠿⠿⠟⠒⠒⠛⠛⠀⠀⠀⠀⠀
⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠸⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠉⠁⠀⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠻⣥⡀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠘⢿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠖⡗⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀
⠃⡀⠀⠤⠀⠀⣀⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⠟⢋⣤⣉⡀⠁⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣷⣾⣶⣆⠒⠆⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀
⣿⣷⣤⡀⢀⣀⣘⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⣀⣠⣀⡛⠟⠋⠩⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣟⢿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣌⣭⣥⣿⣽⣿⣿⣿⣿⣛⠛⠿⠿⠹⠇⠿⢸⣿⡿⣿⣹⡿⣿⣼⣿⡟⣿⠁⠀⠀⠀⢸⠿⠋⠀⢹⣥⣰⡄⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢿⣿⣝⠷⣎⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⠛⣻⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⠈⣐⣤⣄⣀⣉⣿⣿⣧⣾⣭⣔⣴⣭⣧⣽⣥⣦⣶⣶⣦⣤
⣷⣌⠻⠓⠘⢷⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡄⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠻⣿⣯⢽⡚⠿⠿⠿⣿⣶⣿⣯⣅⣾⣿⣿⣿⣿⣿⣿
⠙⠉⠁⠀⠔⢆⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⠀⠙⢿⣿⣿⣿⣎⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠈⢻⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⡀⠀⠀⠀⠉⠀⡌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣀⣀⣀⡀⢀⠈⠉⠙⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠸⡦⠀⠀⠠⣿⡁⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⣰⡓⢀⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠻⠟⠛⠻⠻⢛⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣉⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣦⣄⣤⣄⣤⣠⣄⣠⣤⣀⣀⣀⣀⣈⣁⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⣠⡄⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿
⠀⢀⣴⣶⣶⣶⣶⣶⣶⣲⣴⡂⠀⠀⠸⣿⠀⣠⠀⣤⡀⢤⡄⢠⣄⢀⡀⢀⡀⠀⡀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡗⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿
⠀⣾⣿⣿⣿⣿⡟⢛⡛⠋⠉⠉⠉⠁⠁⣿⢰⢋⡇⢻⣇⠘⣿⠘⣯⡄⣿⡀⢿⡄⢷⡆⢷⡆⢸⡆⢸⡇⢸⡇⢸⡂⢠⠄⣸⣿⣿⣿⣿⣿⣿⣿⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡿⣿⣥⡀⢩⣿⣿⣿
⢀⣻⣿⡿⠿⠿⠧⠛⠃⠀⠀⠀⠀⠀⠀⢸⠀⠸⠇⠘⠟⠀⠛⠀⠘⠃⠸⠅⠸⠇⠈⠁⠈⠁⠈⠁⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣋⣽⣿⣿⣿⣿⡇⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠉⣿⢯⣿⡦⠙⡉⠉
⠀⠛⠃⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⢸⠀⠠⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠀⠐⠒⠒⠒⠒⠒⠒⠒⠒⠀⠀⠀⠀⡄⡖⢿⠟⡻⠋⢧⣼⠀⡿⡾⠀⠀⠀⠀⠀⠀⢀⣿⡿⠛⣋⣩⣉⣉⣉⡇⡤⠀⡿⣿⠿⢫⠇⠃⠀
⠀⠘⠓⠀⠀⠀⠀⠀⢼⣿⡤⠀⠀⠀⠀⢸⠀⡀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠐⣶⡄⠸⠦⠸⠇⢺⣷⣴⣷⣼⡆⣶⣴⢰⣷⣷⠈⠈⠰⣯⣥⡆⠀⠀⠀⠤⠄⠘⠛⠐⣀⡙⢻⣿⣿⣿⠁⠁⣰⣧⣶⣇⣿⠇⠀⠀
⣀⣛⣀⣀⡀⠀⠀⠀⠸⠟⠁⠀⠀⠘⠀⢸⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣯⣷⠇⠈⠘⠉⣿⣟⠀⠀⠀⢿⣿⠇⠀⠀⣄⣦⢎⣁⣽⣿⠁⣽⣿⢿⣍⣋⡀⠁⠀⣿⣿⣿⡟⠀⡄⠀
⠀⣀⠐⠀⠀⠀⠀⠀⢸⣿⡯⠀⠀⠀⠀⠈⠈⣀⣠⣤⣤⣶⣶⣦⣤⣤⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⣄⣀⣘⣛⣿⣿⡇⣀⣀⣀⠿⣿⣷⡄⣠⣿⠏⠀⠀⠀⠸⡋⢺⣿⣿⡏⠀⣿⡿⣿⣿⣿⡇⠀⠀⣿⣿⡿⠁⠀⡇⠀
⠒⠛⠿⠃⠀⠀⠀⠀⠈⠛⠃⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠿⡿⣛⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡶⣿⣧⣀⠀⠀⠀⠈⠀⠘⠛⠛⠂⠀⢻⠟⠛⠛⠟⠇⠀⠀⢿⡿⠃⠀⠇⠁⠀
⠀⠀⠀⠶⠾⠇⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣦⣤⣤⣴⣷⣿⣿⣿⣿⣿⣿⣿⣯⣽⣛⡉⢿⣾⣽⠃⠀⠀⠀⠆⠀⠀⠀⠀⠀⠙⠚⠛⠿⠿⠿⠿⠟⠒⠒⠛⠛⠀⠀⠀⠀⠀
⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠸⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠉⠁⠀⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠻⣥⡀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣷⠄⠘⢿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠖⡗⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀
⠃⡀⠀⠤⠀⠀⣀⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⠟⢋⣤⣉⡀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠞⢾⣶⣶⣆⠒⠆⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀
⣿⣷⣤⡀⢀⣀⣙⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⣀⣠⣄⡛⠟⠹⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣟⢯⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣬⣭⣡⣽⣽⣿⣿⣿⣿⣛⠛⠿⠿⠹⠇⠿⢸⣿⡿⣿⣹⡿⣿⣼⣿⡟⣿⠁⠀⠀⠀⢸⠿⠋⠀⢘⣵⣰⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢿⣯⣙⠷⣮⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠋⠛⣻⣿⣿⣿⣿⣿⠿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⠈⣐⣤⣄⣀⣉⣿⣿⣷⣿⣦⣭⣷⣽⣿⣯⣧⣤⣶⣶⣦⣤
⣷⣌⠻⠓⠑⢷⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⠀⠀⠀⠀⠀⢽⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣍⢵⡞⠿⠿⠿⣿⣾⣿⡿⣗⣿⣿⣿⣿⣽⣿⣿
⠙⠉⠁⠀⠜⢆⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠙⢿⣿⣿⣿⣻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠈⢻⣿⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⡀⠀⠀⠀⠉⠀⡌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣀⣀⣀⡀⠀⠈⠉⠙⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠸⡦⠀⠀⠠⣿⡁⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⣰⠓⢀⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠻⠟⠛⠻⠓⠛⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣁⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣦⣀⣤⣀⣀⣄⣀⣀⣀⣀⣀⣀⣀⣉⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿
⠀⢠⣴⣶⣶⣶⣶⣶⣖⣠⣖⣄⠀⠀⢼⡇⢠⣄⢀⣤⠀⣤⡀⣤⡄⢀⡀⣀⠀⢀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⣿⣿⣿⣿
⠀⣿⣿⣿⣿⣿⡟⣛⡛⠛⠉⠉⠉⠀⠘⡇⠉⣟⡀⢻⡇⢻⣧⠙⣿⠈⣇⠘⣧⡘⣷⡄⣶⠸⣶⠖⢿⠀⢻⠀⣿⠀⣤⠀⣼⣿⣿⣿⣿⣿⣿⣿⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣤⠀⢹⣿⣿⣿
⣀⣿⣿⠿⠿⠿⠏⠛⠃⠀⠀⠀⠀⠀⠀⡇⠀⠿⠅⠸⠇⠀⠛⠀⠛⠀⠿⠀⠿⠁⠙⠁⠈⠁⠈⠀⠀⠀⠀⠀⠀⠀⠁⢸⣿⣿⢋⣿⣿⣿⣿⣷⢦⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⢻⣿⢹⣿⡮⠛⡋⠛
⠈⠛⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⣧⠀⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠄⠀⠀⠒⠒⠒⠒⠒⠒⠒⠀⠀⠀⢀⢴⠚⣿⠟⣿⠡⣧⡇⢸⣿⡇⠀⠀⠀⠀⠀⠀⣠⣿⡿⠻⣉⣙⢉⢉⣹⢄⡄⠀⣟⡿⠯⢱⠀⠀⠀
⠀⠛⠃⠀⠀⠀⠀⠀⢾⣷⡤⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠄⠀⠀⠰⣦⠀⠲⠆⠺⠆⢾⣦⣴⣦⢸⠂⣦⣆⣠⣾⡶⠃⠋⢸⣭⣵⡀⠀⠀⠀⠄⠆⠾⠃⠀⡄⡙⣿⣿⣿⣿⠈⢁⣸⣽⣾⢱⣿⠂⠀⠀
⣈⣓⣀⣀⠀⠀⠀⠀⠸⠏⠁⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣯⡾⡅⠙⠹⢸⣿⡇⡀⠀⠘⣿⣿⢱⠀⠀⢰⡶⢎⣅⣽⡿⠈⣿⣿⣿⣙⣛⡀⠀⢸⣿⣿⣿⠏⠀⠀⠀
⠀⣁⠂⠀⠀⠀⠀⠀⢼⣿⠅⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⣀⣀⣄⣠⣛⣛⣿⣿⣃⡀⣀⡘⢿⣿⣦⠀⣄⣿⠃⢸⠀⠀⠘⠅⣹⣿⣿⡇⢸⣿⡿⣿⣿⣿⡃⠀⢸⣿⣿⡟⠀⠀⠀⠀
⠘⠛⠿⠀⠀⠀⠀⠀⠘⠛⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡻⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣆⣀⠈⠀⠀⠁⠀⠙⠻⠛⠀⠸⣻⠟⠛⢛⠛⠃⠀⠘⣿⠿⠁⠰⠀⠀⠀
⠀⠀⠰⠶⠾⠆⠀⠀⠀⠀⠀⠀⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣯⣟⣋⠩⣶⣮⣝⠃⠀⠀⠀⠀⠀⠀⠀⠀⠘⠙⠚⠿⠿⠿⠿⠳⠶⠒⠒⠛⠒⠀⠀⠀⠀⠀
⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⢻⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠊⠉⠛⠉⠀⠀⠋⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀
⢿⣤⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠻⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⢲⡆⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀
⠃⠀⠀⠄⠀⢀⣀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⣿⣛⠛⢉⣬⣀⡀⠁⠀⠀⠉⠉⠈⠀⠀⠀⠀⠈⠁⠀⠀⠀⠐⢶⣶⣶⣶⡀⠢⠦⠠⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣶⣄⡀⣀⣐⣻⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⣀⣄⣈⠻⠟⠋⠩⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⡷⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣭⡬⣉⣥⣿⣿⣿⣿⣿⣷⡛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⢿⡟⣿⠁⠀⠀⠀⢺⠟⠋⠀⢹⣦⣤⣤⡠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣯⡻⢷⡝⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠛⠛⣿⣿⣿⣿⣿⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠁⠉⠀⠀⠀⠀⠉⣠⣤⣄⣈⣩⣿⣿⣦⣾⣿⣿⣿⣶⣿⣶⣶⣤⣴⣶⣤⣤
⣦⡙⠿⠢⠙⣎⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⣿⣿⣩⣿⠿⠿⠿⢿⣿⣿⣿⣛⣻⣿⣿⣿⣿⣿⣿⣿
⠻⠈⠂⠀⠷⡌⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠻⣿⣿⣿⣯⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠑⠙⣿⣷⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⡀⠀⠀⡀⠁⢠⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣄⣀⣀⣀⣀⡀⠉⠉⠛⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢹⡄⠀⠀⠰⣿⡈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣤⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⣾⠂⡈⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠟⠿⠛⠻⠛⢻⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣁⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣰⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣉⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿
⠀⣠⣴⣶⣶⣶⣶⣶⣶⣤⣲⣂⠀⠀⢾⡇⢀⣄⠠⣀⠀⣤⡀⣤⡀⢀⡀⣀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⠺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢟⣿⣿⣿⣿
⠀⣿⣿⣿⣿⣿⡟⣛⠛⠙⠉⠉⠉⠀⠘⡇⠏⣿⠈⣯⡆⢻⣧⢛⣷⠘⣇⠸⣧⡘⣷⠀⣶⢰⣶⠀⣿⠀⣿⠀⣷⠀⣤⠀⣼⣿⣿⣿⣿⣿⣿⡿⠿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣄⠈⣹⣿⣿⣿
⣀⣿⣿⠿⠿⠿⠟⠛⠃⠀⠀⠀⠀⠀⠀⡇⠀⠿⠁⠸⠇⠘⠋⠀⠟⠀⠿⠀⠿⠁⠛⠀⠙⠀⠉⠀⠀⠀⠀⠀⠀⠀⠁⢸⣿⣿⢋⣿⣿⣿⣿⣷⢂⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⢻⣿⢹⣷⡌⠛⠋⠛
⠈⠛⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⡧⠀⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠠⠀⠐⠐⠒⠒⠒⠒⠒⠒⠂⠀⢀⢰⠺⣿⢿⡿⠩⣇⡇⢸⣧⡇⠀⠀⠀⠀⠀⠀⣸⣿⡿⡻⣉⣙⢛⢙⣻⢄⡄⢸⢏⡿⠟⣰⠘⠀⠀
⠀⠛⠃⠀⠀⠀⠀⠀⣾⣷⠤⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⡀⠀⠀⢰⣦⠀⠶⠆⠶⠄⣾⣦⣼⣦⣾⢀⣦⣆⢨⣾⣴⠁⠃⢸⣭⣵⠀⠀⠀⡠⠄⠆⠶⠂⠀⡀⠛⣽⡿⣿⣿⠈⢁⢸⣼⣾⣰⣷⠂⠀⠀
⣘⣛⣀⣀⠀⠀⠀⠀⠸⠋⠀⠀⠀⠛⠀⠃⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡾⠀⠙⢛⢸⣿⡇⠀⠀⠸⢿⣿⢰⠀⠀⢰⡶⢎⢀⣿⡿⠁⣿⣿⣿⣛⣋⡀⠀⢸⣿⣿⣿⠇⠀⠀⠀
⠀⣁⠂⠀⠀⠀⠀⠀⢽⣿⠅⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⣠⣛⣛⣿⣿⢃⠀⣀⠘⢿⣿⣆⢀⣰⣿⠃⢸⠀⠀⢘⠑⣻⣿⣿⡇⢸⣿⣷⣿⣿⣿⡃⠀⢸⣿⣿⡏⠀⠀⠀⠀
⠚⠻⠿⠀⠀⠀⠀⠀⠘⠛⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⢿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣄⡀⠈⠀⠀⠃⠀⠛⠿⠋⠀⠸⣻⠟⠛⢟⠛⠂⠀⢸⣿⠿⠀⠰⠀⠀⠀
⠀⠀⠰⠶⠾⠂⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣤⣤⣬⣤⣽⣿⣿⣿⣿⣿⣿⣿⣯⣟⡋⠩⣷⣯⡝⠀⠀⠀⠐⠀⠀⠀⠀⠀⠘⠓⠺⠿⠶⠷⠿⠶⠶⠒⠒⠓⠒⠀⠀⠀⠀⠀
⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⢻⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠊⠉⠋⠉⠀⠀⠊⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀
⢿⣤⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠻⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⢲⡂⠀⠐⠓⠀⠀⠀⠀⠀⠀⠀⠀
⢁⡀⠠⠄⠀⢀⣀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⣿⣛⠛⢋⣥⣀⡀⠀⠁⠀⠈⠀⠀⠈⠀⠀⠀⠈⠁⠀⠀⠀⠐⣶⣶⣶⣶⠀⠲⠄⠠⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣦⣄⠀⣀⣈⣻⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⢀⣀⣄⣘⠛⠛⠛⠍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⡿⢽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣭⡬⣉⣥⣿⣿⣿⣿⣿⣷⡟⠛⠿⠿⠹⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⣿⡟⣿⠁⠀⠀⠀⢺⠟⠉⠀⢛⣶⣤⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣏⡻⢶⡕⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠋⢻⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⠑⢠⣤⣀⣈⣩⣿⣾⣷⣦⣶⣷⣮⡷⣖⣴⣤⣤⣴⣴⣤⣤
⣦⡙⢟⠢⠹⣎⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠿⢿⣿⡉⠵⠷⠿⠿⢿⣿⢯⣽⣙⣒⣸⣿⣿⣿⣽⣿⣿
⠃⠈⠀⠠⠶⡐⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⠀⠀⠩⢿⣷⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⡀⠀⠀⠀⠁⢠⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣀⣀⣀⣀⡀⠈⠉⠙⠛⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢳⠄⠀⠀⢴⣏⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣤⣴⣴⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⢀⣶⠀⡈⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠟⠿⠛⠻⠛⢻⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣁⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣰⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣉⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿
⠀⣠⣴⣶⣶⣶⣶⣶⣖⣦⣔⣀⠄⠠⢾⡇⢀⡄⢠⣄⠀⣤⠀⣄⡀⢀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿
⢰⣿⣿⣿⣿⣿⠟⣛⠛⠛⠛⠉⠉⠀⠸⡇⡟⣸⠘⣿⡀⢻⣇⢻⣷⠘⣃⠹⣇⠐⣶⠠⣶⢠⣶⠀⣿⠀⣷⠀⣶⠀⣤⢀⣿⣿⣿⣿⣿⣿⣿⡿⠿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣯⣄⠈⣻⣿⣿⣿
⣈⣿⣿⠿⠿⠿⠜⠛⠁⠀⠀⠀⠀⠀⠀⡇⠀⠿⠀⠹⠇⠸⠃⠀⠛⠀⠿⠀⠿⠀⠛⠀⠉⠀⠉⠀⠀⠀⠀⠀⠀⠀⠁⢼⣿⣿⢋⣿⣿⣿⣿⣷⢂⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⢻⣿⣹⣷⡍⠛⠛⠛
⠘⠛⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⡇⠀⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠄⠐⠐⠒⠒⠒⠒⠒⠒⠒⠀⢀⢰⠺⣿⠿⠟⢫⣄⡇⢸⢧⡇⠀⠀⠀⠀⢀⢀⣸⣿⠿⠻⢋⡙⣛⢙⣹⢠⡀⢸⠟⡿⠿⣶⠘⠀⠀
⠀⠛⠃⠀⠀⠀⠀⠀⣾⣧⠤⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⢲⣦⠀⠶⠄⠶⠀⣾⣦⣾⣦⣿⢠⣤⣄⣴⣶⡴⠅⠃⢮⣭⣴⠀⠀⢀⡠⠀⠀⠶⠀⢀⠈⠛⣿⣿⣿⡏⢘⠀⢾⣽⣶⣰⣷⠀⠀⠀
⣘⣃⣀⣀⠀⠀⠀⠀⠿⠋⠀⠀⠀⠃⠀⡇⡆⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣽⡾⡀⠋⠛⢹⣿⡁⠀⠀⠸⣿⣿⠀⠀⢠⢰⡶⢊⣡⣿⡏⢩⣿⡿⣟⣛⣃⠈⠀⢸⣿⣿⣿⠃⠀⠀⠀
⠀⡁⠂⠀⠀⠀⠀⠀⣿⣯⡥⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⢀⣀⣛⣻⣿⣿⢀⠀⣀⠸⢿⣿⣆⢀⣰⣿⠃⠀⠀⠀⢟⠅⣾⣿⣿⠃⢸⣿⢷⣿⣿⣿⠀⠀⢸⣿⣿⠏⠀⠘⠀⠀
⠚⠻⠟⠀⠀⠀⠀⠀⠘⠛⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣄⡀⠀⠀⠀⠁⠐⠻⠿⠟⠀⠸⡿⠿⠿⣫⢿⠀⠀⢸⣿⠟⠀⢰⠈⠀⠀
⠀⠀⠲⠶⠾⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣤⣤⣤⣤⣬⣭⣿⣿⣿⣿⣿⣿⣭⣟⡋⢫⣷⣯⡛⠀⠀⠀⢰⠀⠀⠀⠀⠀⠚⠒⠾⠷⠶⠶⠾⠶⠶⠶⠒⠓⠒⠀⠀⠀⠀⠀
⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠈⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠊⠛⠙⠁⠀⠐⠎⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀
⢯⣄⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠈⢻⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⣲⠂⠀⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀
⢀⠀⠠⠄⠀⢀⣀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⣿⣛⠛⢉⣬⣀⡀⠀⠀⠈⠀⠁⠀⠈⠀⠀⠀⠈⠁⠀⠀⠀⠱⣶⣶⣶⣶⠠⠶⠄⠠⠀⠀⠈⠋⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣦⣄⠀⣀⣘⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡿⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⢀⣀⣄⡘⠿⠛⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣭⣬⣩⣥⣿⣿⣿⣿⣿⣷⡛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⣿⡟⣿⠁⠀⠀⠀⡿⠟⠁⠀⣻⣴⣤⣤⡄⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣝⠻⣦⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠛⠛⢻⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⠑⣠⣤⣀⣈⣹⣿⣷⣶⣾⣾⣾⣾⣶⣶⣶⣦⣤⣶⣶⣤⣤
⣌⡛⠿⢌⠻⡜⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠿⣿⣿⣛⠿⠿⠿⠿⣿⡿⣿⣿⣟⣿⣿⣻⢿⣿⣿⣿⣿
⠫⠑⠀⠠⠦⡙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠻⣿⣿⣿⣟⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠈⠀⠛⢿⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢀⠀⠀⢀⠐⠁⢠⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣀⣀⣀⠀⠀⠈⠉⠛⠛⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢷⠄⠀⠀⢼⣏⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⣶⣶⣶⣶⣶⣦⣦⣤⣤⣴⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⢠⣖⠀⠙⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠟⠿⠛⠻⠛⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣁⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣸⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣉⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿
⠀⣠⣴⣶⣶⣶⣶⣶⣖⣠⡖⡀⠀⠀⢾⡇⢀⡄⢠⣄⠀⣠⠀⣤⡀⣀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿
⢰⣿⣿⣿⣿⣿⠟⣛⠛⠛⠛⠉⠉⠈⠸⡇⡞⣸⠘⣿⡀⢻⣇⢻⣷⠘⣃⠹⣇⠘⣷⠈⣶⢠⣶⠀⣿⠀⣷⠀⣷⠀⣤⢀⣿⣿⣿⣿⣿⣿⣿⡿⠿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣯⣄⠈⣻⣿⣿⣿
⣘⣿⣿⠿⠿⠿⠜⠛⠁⠀⠀⠀⠀⠀⠀⡇⠀⠿⠀⠹⠇⠸⠃⠀⠛⠀⠿⠀⠿⠀⠛⠀⠉⠈⠉⠀⠀⠀⠀⠀⠀⠀⠁⢼⣿⣿⣋⣿⣿⣿⣿⣷⢂⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⢻⡿⣹⣷⡍⠛⠛⠛
⠘⠛⠀⠀⠀⠀⠀⠀⠍⠀⠀⠀⠀⠀⠀⡇⠀⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠀⠀⠐⠒⠒⠒⠒⠒⠒⠒⠀⢀⢰⠺⣿⠿⠟⢩⣅⡇⢸⣧⡇⠀⠀⠀⠀⢀⢀⣸⣿⠿⠻⢋⡙⣛⢙⣹⢠⡀⢸⠟⡿⠟⣶⠘⠀⠀
⠀⠛⠃⠀⠀⠀⠀⠀⣾⣯⠤⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⡀⠀⠀⢰⣦⠀⠶⠄⠶⠀⣾⣦⣾⣦⣷⢠⣤⣄⣤⣶⡴⠃⠃⢮⣭⣴⠀⠀⢀⠠⠀⠀⠶⠀⢀⠈⠛⣿⡿⣿⡍⢈⠀⢞⣽⣾⣰⣷⠀⠀⠀
⣙⣃⣀⡀⠀⠀⠀⠀⠿⠋⠀⠀⠀⠃⠀⡇⡎⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣽⡾⡀⠋⠋⢹⣿⡃⠀⠀⠸⣿⣿⠀⠀⠠⢰⡶⢊⢁⣿⡏⢨⣿⡿⣟⣛⣃⠘⠀⢸⣿⣿⣿⠃⠀⠀⠀
⠀⡉⠂⠀⠀⠀⠀⠀⣿⣯⠥⠀⠀⠀⠀⠁⢀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⢀⣀⣛⣻⣿⣿⢀⡀⣀⠸⢿⣿⣤⢀⣰⣿⠃⠀⠀⠀⢟⠁⣿⣿⣿⠃⢸⣿⢷⣿⣿⣿⠀⠀⢸⣿⣿⠏⠀⢈⠀⠀
⠚⠿⠟⠀⠀⠀⠀⠀⠘⠛⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣄⡀⠀⠀⠀⠁⠐⠻⠿⠿⠀⠸⡿⠿⠿⣏⢻⠀⠀⢸⡿⠟⠀⢰⠈⠀⠀
⠀⠀⠲⠶⠾⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣦⣤⣤⣤⣤⣬⣽⣿⣿⣿⣿⣿⣿⣭⣟⡋⢻⣶⣯⡟⠀⠀⠀⢰⠀⠀⠀⠀⠀⠚⠓⠾⠷⠶⠶⠮⠶⠶⠶⠒⠓⠒⠀⠀⠀⠀⠀
⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠈⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠊⠋⠛⠁⠀⠐⠎⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀
⢯⣄⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠈⢻⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⣲⠂⠀⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀
⢀⠀⠠⠄⠀⢀⡀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⣿⣛⠛⢉⣥⣀⡀⠀⠀⠀⠀⠈⠀⠉⠀⠀⠀⠈⠁⠀⠀⠀⠐⡶⣶⣶⣶⠠⠶⠄⠀⠀⠀⠈⠋⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣦⣄⠀⣀⣘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡏⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⣀⣄⡘⠻⠛⠩⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣭⣨⣩⣥⣿⣿⣿⣿⣿⣷⡛⠛⠿⠿⠹⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⣿⡟⣿⠁⠀⠀⠀⡿⠟⠁⠈⣿⣤⣤⡤⡀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣝⠻⣦⡙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠙⢻⣿⣿⣿⣿⣿⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⠑⣠⣤⣀⣈⣹⣿⣷⣾⣷⣾⣾⣾⣶⣶⣶⣦⣤⣶⣶⣤⣤
⣌⡛⠷⢌⠻⡜⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⣻⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠻⠿⣿⣟⣛⡿⠿⠿⠿⣿⡿⣿⣿⣟⢿⣿⣻⣻⣿⣿⣿⣿
⠫⠑⢀⠠⠦⡙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠻⣿⣿⣿⣟⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠈⠈⠛⣿⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢀⠀⠀⢀⠘⠁⢠⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣀⣀⡀⠀⠀⠈⠉⠛⠛⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢷⠀⠁⠀⢼⡏⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⣶⣶⣶⣶⣶⣶⣦⣤⣤⣴⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⢀⣖⣀⡉⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠟⠿⠛⠻⠛⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣁⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣤⣀⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣉⣁⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿
⠀⣠⣴⣶⣶⣶⣶⣶⣶⣢⣶⠀⠀⠀⢼⡇⢠⣄⠀⣄⠀⣤⡀⣤⡀⢀⡀⣀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⣿⣿⣿⣿
⠀⣿⣿⣿⣿⣿⡟⣛⡛⠙⠋⠉⠉⠀⠘⡇⠋⣿⡀⣻⡇⢻⣧⠙⣿⠘⣇⠘⣇⡘⣶⡄⣶⢸⣶⠄⢿⠀⢻⠀⣷⠀⣤⠀⣸⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣄⠀⣹⣿⣿⣿
⣀⣿⣿⡿⠿⠻⠏⠛⠃⠀⠀⠀⠀⠀⠀⡇⠀⠿⠁⠸⠇⠘⠛⠀⠟⠀⠿⠀⠿⠁⠙⠁⠉⠁⠉⠀⠀⠀⠀⠀⠀⠀⠁⢸⣿⣿⢋⣿⣿⣿⣿⣷⢆⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⢻⣿⢹⣷⡌⠛⠋⠛
⠈⠛⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⡧⠀⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠀⠒⠒⠒⠒⠒⠒⠒⠒⠂⠀⢀⢰⡚⣿⠟⡿⠉⣇⡇⢸⣧⡇⠀⠀⠀⠀⢀⠀⣸⣿⡿⠻⣉⡙⢛⢙⣻⢄⡄⢨⠟⠿⠿⢰⠀⠀⠀
⠀⠛⠃⠀⠀⠀⠀⠀⣾⣿⠤⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⡀⠀⠀⠰⣦⠀⠲⠆⠶⠄⣾⣦⣼⣦⣸⢂⣦⣄⣤⣶⣴⠃⠃⢸⣭⣵⠀⠀⠀⡠⠄⠆⠶⠆⠀⡀⠛⣿⣿⣿⣿⠈⠁⢸⣽⣶⢴⣷⠂⠀⠀
⣈⣓⣀⣀⠀⠀⠀⠀⠸⠋⠀⠀⠀⠛⠀⠅⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣾⡀⠙⠃⢸⣿⡃⠀⠀⠸⢿⣿⢰⠀⠀⢰⡶⢆⢁⣿⡟⢈⣷⣿⣿⣛⣛⡀⠀⢸⣿⣿⣿⠇⠀⠀⠀
⠀⣁⡂⠀⠀⠀⠀⠀⢽⣯⡅⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣛⣛⣿⣿⢂⠀⣀⠘⢿⣿⣆⢀⣐⣿⠃⢸⠀⠀⢜⡑⣸⣿⣿⠇⢸⣿⣷⣿⣿⣿⡃⠀⢸⣿⣿⡏⠀⠀⠀⠀
⠚⠛⠟⠀⠀⠀⠀⠀⠘⠛⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⢿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣄⡀⠘⠀⠀⠃⠐⠛⠻⠛⠀⠸⣻⠟⠿⢟⠛⠃⠀⠸⣿⠿⠀⢰⠀⠀⠀
⠀⠀⠰⠶⠾⠂⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣤⣤⣤⣤⣽⣿⣿⣿⣿⣿⣿⣿⣯⣟⡛⢻⣷⣾⡟⠀⠀⠀⠐⠀⠀⠀⠀⠀⠘⠓⠺⠿⠶⠶⠾⠶⠶⠖⠒⠓⠒⠀⠀⠀⠀⠀
⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⢿⣾⣷⡀⠀⠀⠀⠀⠀⠀⠀⠊⠉⠉⠉⠀⠀⠊⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀
⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠹⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⢲⡂⠀⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀
⢁⡀⠀⠄⠀⢀⡀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⣿⣛⠛⢉⣬⣀⡈⠁⠀⠀⠁⠀⠀⠀⠁⠀⠀⠈⠁⠀⠀⠀⠐⡶⣶⣶⣶⠀⠶⠄⠠⠀⠀⠈⠛⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣶⣄⠀⣀⣈⣽⣯⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⣀⣄⣘⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⡿⢽⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣭⣬⣉⣥⣿⣿⣿⣿⣿⣷⡛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⣿⡟⣿⠁⠀⠀⠀⣿⠟⠁⠀⣻⣂⣀⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢿⣭⡻⢷⡝⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠋⠻⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⠙⣠⣤⣀⣈⣙⣿⣿⣷⣦⣾⣢⣴⣦⡲⣲⣢⣠⣤⣤⣤⣤
⣦⡙⢟⠂⠹⢌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣤⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⢿⠿⣉⡴⠶⠿⠿⣿⣿⣹⣿⡓⡋⣘⣿⣛⣻⣿⣿⣿
⠻⠈⠀⠠⠶⡐⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠻⣿⣿⣿⣭⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠐⠓⢺⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⡀⠀⠀⠀⠁⢠⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣤⣀⣀⣀⡀⠀⠈⠉⠙⠛⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢳⠄⠀⠀⢴⣏⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣦⣤⣤⣤⣤⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⢀⣾⠂⠈⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠟⠿⠛⠻⠛⣻⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣁⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣰⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣉⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿
⠀⣠⣴⣶⣶⣶⣶⣶⣶⣤⣶⠀⠀⠀⢼⡇⢀⣄⠀⣄⠀⣄⡀⣤⡀⢀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿
⠀⣿⣿⣿⣿⣿⡟⣛⡛⠛⠉⠉⠉⠀⠘⡇⠏⣿⡈⣻⡇⢻⣧⠙⣿⠘⣇⠙⣇⡘⣷⡄⣶⢰⣶⠀⣿⠀⣻⠀⣶⠀⣤⠀⣸⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⣹⣿⣿⣿
⣀⣿⣿⠿⠿⠿⠟⠛⠃⠀⠀⠀⠀⠀⠀⡇⠀⠿⠁⠸⠇⠘⠛⠀⠛⠀⠿⠀⠿⠁⠙⠁⠙⠁⠉⠀⠀⠀⠀⠀⠀⠀⠁⢸⣿⣿⢋⣿⣿⣿⣿⣷⢆⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⢻⣿⢹⣷⣌⠛⠛⠛
⠘⠛⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⣧⠀⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠀⠐⠒⠒⠒⠒⠒⠒⠒⠒⠀⢀⢰⠚⣿⠟⠿⠩⣇⡇⢸⣧⡇⠀⠀⠀⠀⢀⠀⣰⣿⡿⠻⡙⡙⢛⢙⣻⢄⡄⢸⠟⠿⠟⢲⠐⠀⠀
⠀⡛⠃⠀⠀⠀⠀⠀⣾⣿⠤⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⡀⠀⠀⢰⣦⠀⠲⠆⠶⠄⣾⣦⣴⣦⣺⠂⣦⣄⣠⣶⡴⠃⠋⢸⣭⣵⠀⠀⠀⡠⠀⠂⠾⠆⠀⡀⠛⣿⣿⣿⣿⠈⠁⢸⣽⣶⢰⣷⠂⠀⠀
⣈⣁⣀⣀⠀⠀⠀⠀⠹⠋⠀⠀⠀⠛⠀⠃⡆⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡾⠀⠉⠋⢸⣿⡃⠀⠀⠸⢿⣿⢰⠀⠀⢰⣶⢂⢁⣿⡿⢘⣷⣿⣿⣛⣛⡀⠀⢸⣿⣿⣿⠇⠀⠀⠀
⠀⣀⠂⠀⠀⠀⠀⠀⢽⣯⠅⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣛⣻⣿⣿⢃⡀⣀⠘⢿⣿⣄⠀⣰⣿⠃⢸⠀⠀⠜⡁⣸⣿⣿⡇⢸⣿⣿⣿⣿⣿⡃⠀⢸⣿⣿⡏⠀⠀⠀⠀
⠚⠛⠟⠀⠀⠀⠀⠀⠘⠛⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣄⡀⠘⠀⠀⠂⠐⠿⠿⠻⠀⠸⣻⠿⠿⢟⠿⠃⠀⠸⣿⠿⠀⢰⠀⠀⠀
⠀⠀⠰⠶⠾⠂⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣤⣤⣤⣤⣬⣭⣿⣿⣿⣿⣿⣿⣭⣝⡋⠩⣷⣯⡟⠀⠀⠀⠐⠀⠀⠀⠀⠀⠐⠓⠾⠷⠶⠶⠾⠶⠶⠦⠒⠓⠒⠀⠀⠀⠀⠀
⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠈⢿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠊⠋⠛⠉⠀⠀⠊⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀
⢿⢤⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠻⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⢰⡂⠀⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀
⢁⡀⠠⠄⠀⢀⣀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⣿⣛⠛⢉⣤⣀⡀⠀⠀⠉⠁⠀⠀⠉⠀⠀⠀⠈⠉⠀⠀⠀⠐⠶⣶⣶⣶⠠⠢⠤⠠⠀⠀⠈⠛⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣶⣄⠀⣀⣈⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⣀⣄⣘⠻⠛⠋⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⡿⢿⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣭⣬⣩⣥⣽⣿⣿⣿⣿⣧⡛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⢿⡟⣿⠁⠀⠀⠀⣾⠟⠁⠀⣻⣦⣤⡤⢄⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣯⡻⢶⡝⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠙⢻⣿⣿⣿⣿⣿⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⠑⣢⣤⣀⣈⣹⣿⣷⣵⣾⣾⣿⣾⣶⣶⣶⣶⣠⣶⣶⣤⣄
⣦⡙⢿⠂⠻⡎⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡡⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠻⣿⣿⣹⡿⠿⠿⠿⣿⣿⣿⣿⣟⣿⣟⣟⣟⣻⣿⣿⣿
⠻⠉⠀⠀⠳⡘⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠻⣿⣿⣿⣅⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⢀⠈⠙⠻⣿⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⡀⠀⠀⠈⠁⢠⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣀⣀⣀⠀⠀⠈⠉⠙⠛⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢳⠄⠀⠀⢴⣯⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣦⣤⣤⣤⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⢀⣞⡂⠈⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠟⠿⠛⠻⠛⢻⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣁⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣰⣄⣈⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣀⣉⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⣠⣴⣶⣶⣶⣶⣶⣦⣦⣔⡀⠀⠀⢾⡇⢀⡀⢀⣀⠀⣀⠀⣀⡀⣀⠀⣀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⣾⣿⣿⣿
⠀⣿⣿⣿⣿⣿⠟⣛⠛⠛⠋⠉⠉⠀⠸⡇⡞⣸⠘⣿⡆⢻⣇⢻⣇⠸⣃⠹⣇⠘⣦⠠⣦⢠⣶⠀⣿⠀⣷⠀⣶⠀⣄⠀⣿⣿⣿⣿⣿⣿⣿⡿⠿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣏⣀⠈⣻⣿⣿⣿
⣘⣿⡿⠿⠿⠿⠜⠛⠁⠀⠀⠀⠀⠀⠀⡇⠀⠿⠀⠹⠇⠸⠇⠀⠟⠀⠿⠀⠿⠀⠛⠀⠛⠈⠉⠀⠀⠀⠀⠀⠁⠀⠁⢰⣿⣿⡿⣿⣿⣿⣿⣷⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⢻⣿⣳⣷⡝⠛⠛⠛
⠘⠛⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⡇⠀⠠⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠀⠐⠒⠒⠒⠒⠒⠒⠒⢀⢠⠚⣿⣿⠟⢩⣅⡇⢸⣧⡇⠀⠀⠀⠀⢀⢀⣰⣿⡿⠿⠛⡛⢛⠙⢹⢀⡀⢸⠟⠿⠟⡲⠸⠀⠀
⠀⠛⠁⠀⠀⠀⠀⠀⣾⣶⠤⠀⠀⠀⠀⡇⢀⠀⠀⠀⠀⢀⠀⢀⠀⠀⠀⠀⠀⠀⢰⣆⠀⠶⠄⠶⠀⣶⣦⣼⣦⣶⢰⣄⡌⣭⣇⡀⠈⠁⣬⣤⣴⠀⠀⢀⠀⡐⠀⠿⠇⠀⠘⠟⣿⣿⣿⡍⠘⠁⢼⣬⣶⣰⣷⠀⠀⠀
⣘⣃⣀⣀⠀⠀⠀⠀⠾⠃⠀⠀⠀⠃⠀⡇⡄⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣻⡾⠈⠋⠃⣿⣿⠀⠀⠀⢸⢿⣿⠀⠀⠀⢰⡤⠀⢁⣾⡏⢸⣷⣿⣟⣛⠃⠈⠈⢸⣿⣿⣿⠇⢀⠀⠀
⠀⡁⠂⠀⠀⠀⠀⠀⣿⣯⠥⠀⠀⠀⠀⠀⠁⣀⣀⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⢀⣀⠀⣀⣿⣿⣿⣿⡀⠀⣀⠸⢿⣿⣄⢀⣰⣿⠃⠀⠀⠀⠟⡑⣿⣿⡟⠂⢸⣿⢷⣿⣿⣿⠀⠀⢸⣿⣿⡏⠀⠘⠀⠀
⠚⠿⠟⠀⠀⠀⠀⠀⠘⠛⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣷⣶⣾⣿⣁⠀⠀⠀⠀⠀⠚⠿⠟⠏⠀⠸⣻⠿⠿⣿⣿⠀⠀⢸⣿⡟⠀⢰⠀⠀⠀
⠀⠀⠲⠶⠶⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣤⣤⣤⣤⣬⣭⣿⣿⣿⣿⣿⣿⣭⣛⠛⢻⣶⣭⡟⠀⠀⠀⢰⠀⠀⠀⠀⠀⠐⠲⠼⠷⠶⢶⡮⠶⠶⠤⠶⠷⠒⠀⠀⠀⠀⠀
⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡆⠈⣿⣶⣆⠀⠀⠀⠀⠀⠀⠀⠀⠚⠛⠛⠃⠀⠐⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢯⣄⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠈⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢀⣰⠀⠀⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀
⢀⡀⠠⠄⠀⣀⡀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⡿⣛⠛⢁⣥⣀⡉⠉⠉⠉⠈⠁⠀⠈⠀⠀⠀⠉⠁⠀⠀⠀⢰⠶⣦⣶⣦⠠⠠⠄⠀⠀⠀⠘⠓⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣦⣄⠀⣀⣀⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡟⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⢀⣀⣀⡸⠟⠻⠻⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⡷⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣭⣬⣭⣥⣿⣿⣿⣿⣿⣧⡛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⢿⡟⣿⠁⠀⠀⠐⡿⠟⠁⠈⣆⣠⢄⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣝⠻⣦⡑⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠉⠿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠐⠃⣠⣄⣀⣉⠻⣿⣷⣤⣤⣴⡦⣶⣶⣶⣆⡀⣤⣤⣤⣀⣀
⣌⡛⠗⢈⠳⡜⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡄⠀⠀⠀⠀⠠⢿⣿⣿⣿⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠿⣿⣟⣫⡥⠿⢿⣿⡿⡿⣿⣿⡙⡻⣙⣻⣻⢻⣿⣿⣿
⠃⠁⠀⠠⠢⡙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠈⠻⢿⣿⣿⣟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢷⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢀⠀⠀⢀⠐⠁⢠⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣄⣀⣀⡀⠀⠀⠉⠉⠛⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⣧⠀⠀⠀⢼⡏⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⢠⣖⡀⠑⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠛⠿⠛⠻⠛⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣁⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣰⣄⣈⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣀⣉⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⣠⣴⣶⣶⣶⣶⣶⣶⣶⣖⢀⠀⠀⢿⡇⢀⡀⢀⣀⠀⣀⠀⣄⡀⣀⠀⣀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢾⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣾⣿⣿⣿
⢠⣿⣿⣿⣿⣿⠟⣛⠛⠛⠛⠉⠉⠀⠸⡇⡞⣹⠘⣿⡆⢿⣇⢹⣅⠸⣃⠹⣇⠘⣦⠠⣦⢠⣶⠀⣿⠀⣷⠀⣶⠀⣄⠀⣿⣿⣿⣿⣿⣿⣿⡿⠿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣏⣀⠈⣻⣿⣿⣿
⣘⣿⣿⠿⠿⠿⠜⠛⠁⠀⠀⠀⠀⠀⠀⡇⠁⠿⠀⠹⠇⠸⠇⠈⠟⠀⠿⠀⠿⠀⠛⠀⠛⠈⠉⠀⠀⠀⠀⠀⠁⠀⠁⢰⣿⣿⣿⣿⣿⣿⣿⣷⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⢻⣿⣳⣷⡝⠛⠛⠛
⠘⠛⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⡇⠀⠠⠠⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠀⠐⠂⠒⠒⠒⠒⠒⠒⢀⢰⠚⣿⣿⠟⠫⣅⡇⢸⣧⡇⠀⠀⠀⠀⢀⠀⣰⣿⠿⠿⠛⡛⢛⠙⢹⢀⡀⢸⠏⠿⠟⡲⠸⠀⠀
⠀⠛⠃⠀⠀⠀⠀⠠⣾⣷⡤⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢀⠀⢀⠀⠀⠀⡀⠀⠀⢲⣦⠀⠶⠄⠶⠀⣶⣦⣼⣦⣶⢰⣔⣌⣥⣷⡴⠋⠃⣬⣤⣴⠀⠀⢀⠠⡀⠀⠿⠧⠄⠘⠟⣿⣿⣿⡏⠘⠁⢼⣬⣷⣰⣷⠀⠀⠀
⣘⣃⣀⣀⠀⠀⠀⠀⠾⠃⠀⠀⠀⠃⠀⡇⡆⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠁⠀⠀⠈⠀⠀⠀⠀⠀⠀⠘⣿⣿⣻⡾⠈⠋⠗⣿⣿⡀⠀⠀⢸⢿⣿⠀⠀⢠⢰⡦⢎⢁⣿⡟⢸⣷⣿⣟⣛⠃⠈⠈⢹⣿⣿⣿⠇⢀⠀⠀
⠀⡁⠂⠀⠀⠀⠀⠀⣿⣯⠥⠀⠀⠀⠀⠁⠁⣀⣀⣤⣤⣤⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⣀⣿⣿⣿⡿⠀⠀⣀⠹⣿⣿⣄⢀⣰⣿⠃⠀⠀⠀⢟⡕⣿⣿⣻⠇⢸⣿⢷⣿⣿⡿⠀⠀⢸⣿⣿⡏⠀⢘⠀⠀
⠚⠿⠟⠀⠀⠀⠀⠀⠘⠛⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣷⣶⣾⣿⣁⠀⠀⠀⠀⠁⠘⠿⠟⠋⠀⠸⣻⠿⠿⣿⣿⠀⠀⢸⣿⡟⠀⢰⠐⠀⠀
⠀⠀⠲⠶⠶⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣥⣤⣥⣥⣬⣭⣿⣿⣿⣿⣯⣿⣭⣛⠛⢻⣿⣭⡟⠀⠀⠀⢰⠐⠀⠀⠀⠀⠐⠲⠾⠷⠶⢶⣮⠶⠶⠤⠶⠷⠒⠀⠀⠀⠀⠀
⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠈⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠚⠛⠛⠃⠀⠐⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢯⣄⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠈⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢀⣰⠀⠀⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀
⢀⡀⠠⠄⠀⣀⡀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⣿⣛⠛⢃⣥⣀⡉⠉⠉⠁⠉⠉⠉⠉⠀⠀⠀⠉⠁⠀⠀⠀⢰⢶⣶⣶⣶⠠⠤⠀⠀⠀⠀⠘⠓⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣦⣄⠀⣀⣈⣿⣯⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⡟⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⢀⢀⣀⡸⠟⠿⠟⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⡷⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣭⣬⣭⣥⣿⣿⣿⣿⣿⣧⡛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣼⣿⡟⣿⠁⠀⠀⠐⡿⠟⠁⠈⣦⣤⣄⡄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣝⠻⣦⡑⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠛⠿⣿⣿⣿⣿⣿⣿⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠐⠃⢠⣄⣀⣉⣻⣿⣷⣤⣤⣴⣶⣶⣶⣦⣄⣀⣤⣤⣤⣄⣀
⣌⠛⠗⢈⠳⡜⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⢿⣿⣫⡷⠾⣿⣿⣿⡿⣿⣿⣖⡿⣻⣟⣿⣻⣿⣿⣿
⠋⠑⠀⢠⠢⡘⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⠈⠿⣿⣿⣿⣟⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠲⣷⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢀⠀⠀⢀⠘⠁⢠⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣄⣀⣀⡀⠀⠀⠉⠉⠛⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⣧⠀⠁⠀⢼⣏⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣴⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⢠⣖⠀⠙⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠟⠿⠛⠻⠛⣻⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣁⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣁⣰⣄⣈⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣀⣙⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⣠⣴⣶⣴⣶⣶⣶⣖⣆⣴⢂⠀⠠⢿⡇⢀⡀⢀⣀⢀⣀⠀⣀⡀⣀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿
⢰⣿⣿⣿⣿⣿⠛⣛⠛⠛⠛⠉⠁⠀⢸⡅⣾⣱⠘⣿⡀⢻⡆⢻⣇⠸⣃⠹⣂⠰⣤⢰⣤⢀⣶⠐⣷⠐⣶⠐⡦⢀⡀⠀⣿⣿⣿⣿⣿⣿⣿⡿⠿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡀⠘⣿⣿⣿⣿
⣸⣿⡿⠿⠿⠿⠘⠛⠀⠀⠀⠀⠀⠀⠸⡇⠁⠿⠀⠿⠅⠸⠇⠸⠏⠈⠿⠀⠿⠀⠛⠀⠛⠀⠉⠀⠀⠀⠀⠀⠁⠀⠁⢀⣿⣿⣿⣿⣿⣿⣿⣷⢀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠻⣿⣟⣳⣦⡙⢟⠛⠻
⠘⠛⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠠⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠄⠀⠀⠀⠀⠐⠒⠒⠒⢂⢠⠚⣿⡿⡿⢫⣉⠁⢸⣷⡆⠁⠉⠉⠉⠉⠉⣹⣿⡿⠟⠛⡛⠛⠛⢻⢀⠀⢸⠗⣿⠟⡴⠸⠀⠀
⠈⠛⠀⠀⠀⠀⠀⠠⣶⡶⠄⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢀⠀⢀⠀⠀⠀⠀⢀⠀⢶⣄⠀⠶⠀⠶⠠⣶⣤⣾⣄⡟⣰⣮⡈⣧⣇⡨⠙⠃⣮⣤⣤⠀⠀⢀⢀⣐⠀⠿⠭⠄⠘⠟⣿⣿⣿⡍⠘⠀⣞⣭⣷⣰⣧⠀⠀⠀
⠘⢃⣀⣀⠀⠀⠀⠀⠾⠀⠀⠀⠀⠃⠀⡇⡄⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣻⡇⠘⠛⠋⣷⣿⠁⠀⠀⢸⣿⣿⠀⠀⠀⣠⣄⢒⢠⣶⠏⢸⣶⣿⣟⠻⠃⠀⠈⢹⣿⣷⣿⠃⢂⠀⠀
⠈⠁⠂⠀⠀⠀⠀⠠⣿⣯⠥⠀⠀⠀⠀⠁⠀⣀⣀⣠⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⣀⠀⣈⣿⣿⣿⡷⠀⠀⡀⠿⣿⣷⡀⢀⢰⣿⠃⠀⠀⠀⠟⠁⣾⣿⣿⠀⢸⣿⢷⣿⣿⡿⠀⠀⢸⣿⣿⠏⠀⠘⠀⠀
⠚⠿⠇⠀⠀⠀⠀⠀⠛⠛⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣷⣶⣾⣿⣁⠀⠀⠀⠀⠊⠘⠿⠟⠛⠀⠸⣻⠾⠿⡿⢿⠀⠀⢸⣿⡟⠀⡠⠀⠀⠀
⠀⠀⢶⠶⠶⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣤⣬⣤⣤⣤⣭⣽⣿⣿⣿⣿⣿⣿⣽⡛⠛⢿⣯⣽⠟⠀⠀⠀⢠⠀⠀⠀⠀⠀⠐⠦⠾⢷⣶⣶⣶⡶⠦⠤⠼⠧⠆⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡅⠹⣷⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠓⠚⠒⠂⠀⠰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡤⠘⢿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣴⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀
⣀⠀⠤⠄⠀⣀⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⣿⣛⠛⢉⣤⣈⡁⠉⠉⠉⠉⠉⠉⠉⠀⠀⠈⠉⠁⠀⠀⠀⢰⣤⣤⣤⡤⠠⠤⠀⡈⠀⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀
⣷⣦⡀⠀⣀⣈⣿⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡟⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⢀⣀⠹⠿⠟⠛⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⠿⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣭⣬⣭⣥⣿⣿⣿⣿⣿⣧⡛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⣿⡟⣿⠁⠀⠀⠐⡿⠟⠁⠐⣆⣀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣝⠻⣮⠫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠝⠛⢿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠁⠉⠀⠀⠀⠘⠃⣤⣄⣀⣉⣻⣵⣮⣤⣼⣍⡤⣤⡤⣦⢂⢀⡠⣤⣄⣀⣀
⣌⠻⡗⠌⢶⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠨⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠻⠿⢿⡟⢫⠾⢿⣿⣿⡿⢾⡇⢿⠶⡿⢻⣛⣻⣿⣿⣿⣿
⠧⠁⠀⠀⢦⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠐⠿⣿⣿⣿⡛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣷⣶⣶⣶⣿⣿⣿⣿⣷⣷⣿⣿⣿⣿⣿⣿⣿
⢀⠀⠀⢀⠘⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣀⣀⡀⠀⠀⠈⠉⠙⠛⠷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠈⣦⠀⠁⠀⢾⡇⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⢠⣶⣀⠙⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠻⠛⠿⠛⠻⠛⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣁⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣰⣄⣈⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣀⣙⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⣠⣴⣶⣶⣶⣶⣦⣶⣦⣴⢂⠀⠠⢾⡇⢀⡀⢀⣀⢀⣀⢀⣀⡀⣀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿
⢸⣿⣿⣿⣿⣿⠛⣛⠛⠛⠛⠁⠉⠈⢸⡅⡾⣱⠘⣿⡀⢿⡆⢻⣇⢸⣃⠹⣂⠰⣤⢠⣤⠁⣶⠐⣷⠀⣶⠐⡦⢀⡀⠀⣿⣿⣿⣿⣿⣿⣿⡿⠿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡀⠘⣿⣿⣿⣿
⣸⣿⡿⠿⠿⠿⠜⠛⠀⠀⠀⠀⠀⠀⠸⡇⠁⠿⠀⠿⠅⠸⠇⠸⠏⠈⠿⠀⠿⠀⠛⠀⠛⠀⠉⠀⠀⠀⠁⠀⠁⠀⠁⠀⣿⣿⣿⣿⣿⣿⣿⣷⢀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⣿⣟⣳⣦⡙⠟⠛⠻
⠘⠛⠀⠀⠀⠀⠀⠀⠅⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠠⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠄⠀⠀⠀⠐⠒⠒⠒⢢⢠⠜⣿⣿⡾⢿⣉⠁⢸⣷⡆⠁⠉⠉⠉⢉⠉⣹⣿⡿⠟⠛⡛⠛⠛⢻⣀⠀⢸⠗⣿⠟⡴⠸⠀⠀
⠈⠛⠀⠀⠀⠀⠀⠀⣾⣶⠄⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣄⠀⠶⠀⠶⠠⣶⣤⣶⡄⡟⣠⣬⡘⣿⢇⡔⠹⠃⣮⣦⣤⠀⠀⠀⢀⣐⠈⠿⠯⠄⠘⠟⣿⣿⣿⡍⠸⠀⣜⣨⣷⣰⣧⠀⠀⠀
⠙⢂⣀⣀⠀⠀⠀⠀⠿⠁⠀⠀⠀⠃⠀⡇⡄⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣻⡗⠘⠛⡁⣿⣿⡀⠀⠀⢸⣿⣿⠀⠀⠠⣠⡤⢖⢀⣶⡏⢸⣾⣿⣟⠻⠃⠈⠈⢹⣿⣷⣿⠃⢀⠀⠀
⠈⠁⠂⠀⠀⠀⠀⠀⣿⣿⠅⠀⠀⠀⠀⠁⠀⣀⣀⣠⣤⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⣀⠀⣈⣿⣿⣿⡟⠀⠀⡀⠿⣿⣷⡀⢀⢰⣿⠃⠀⠀⠀⠟⡁⣿⣿⣿⠀⢸⣿⢷⣿⣿⡿⠀⠀⢸⣿⣿⠏⠀⠘⠀⠀
⠚⠿⠇⠀⠀⠀⠀⠀⠛⠛⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣷⣶⣿⣿⡁⠀⠀⠀⠀⠈⠸⠿⠿⠟⠀⠸⣿⠾⠿⡿⢿⠀⠀⢸⣿⡟⠀⡀⠀⠀⠀
⠀⠀⢶⠶⠶⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣤⣤⣬⣤⣤⣭⣽⣿⣿⣿⣿⣿⣿⣻⣛⠛⢻⣭⣽⠟⠀⠀⠀⢠⠀⠀⠀⠀⠀⠐⠶⠾⢷⣶⣶⣶⣶⠦⠤⠼⠧⠆⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡅⠹⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠒⠂⠀⠰⠆⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀
⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠘⢿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢤⢴⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀
⣀⠀⠤⠄⠀⣀⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣭⣿⣽⣿⣿⣿⣿⣿⣿⢿⣿⣛⠛⢁⣤⣉⡉⠉⠉⠉⠉⠁⠀⠉⠀⠀⠀⠉⠁⠀⠀⠀⢠⣤⣤⣤⡄⠠⠤⠀⡉⠀⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣦⡀⠀⣀⣈⣻⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡟⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⢀⣀⠻⠿⠛⠟⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⠯⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣭⣭⣬⣭⣵⣿⣿⣿⣿⣿⣷⡛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⣿⡟⣿⠁⠀⠀⠘⡿⠟⠁⠐⣦⣀⠀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣝⠻⣮⠫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠛⠛⢿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠘⠃⢤⣄⣀⠉⣻⣿⣮⣄⣼⣷⣀⣤⣴⣦⣦⢀⣀⣠⣄⣀⣀
⣌⠻⠗⠌⢷⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠳⠾⠿⣿⣟⢫⡴⢿⣿⣿⣿⣿⢽⢿⢻⡿⢻⣿⢿⣿⣿⣿⣿
⠧⠁⠀⠰⢆⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠐⢿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢱⣷⣦⣶⣶⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿
⢀⠀⠀⢀⠘⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣀⣀⠀⠀⠀⠉⠉⠙⠛⠷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠘⣦⠀⠀⠀⢾⡇⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣶⣶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⢠⣖⣀⠑⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠻⠛⠟⠛⠻⠛⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣁⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣰⣄⣈⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣀⣙⣀⣀⣀⣀⣁⣀⣀⣀⣀⣀⣀⣀⣀⣠⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⣠⣴⣶⣦⣶⣦⣴⣖⣠⡔⠀⠀⠠⢾⡇⢀⡀⢀⣀⠀⣀⠀⣀⡀⣀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿
⢰⣿⣿⣿⣿⣿⠛⣛⠛⠛⠛⠁⠈⠀⠸⡇⡞⣹⠐⣿⡀⢻⣇⢻⣃⠸⣇⠹⣂⠸⣤⠠⣤⢁⣶⠀⣷⠀⣶⠀⣦⠀⣈⠀⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡀⠘⣿⣿⣿⣿
⣸⣿⣿⠿⠿⠿⠜⠛⠂⠀⠀⠀⠀⠀⠀⡇⠀⠿⠀⠽⠇⠸⠇⠈⠟⠈⠿⠀⠿⠀⠛⠀⠛⠈⠉⠀⠀⠀⠈⠀⠉⠀⠁⠀⣽⣿⣿⣿⣿⣿⣻⣷⢀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠷⢾⣿⣳⣦⡙⠿⠿⠿
⠘⠛⠀⠀⠀⠀⠀⠀⠥⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠠⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠀⠀⠀⠐⠒⠒⠒⢂⢠⠼⣿⣿⣿⢿⣉⡇⢸⣧⡆⠉⠉⠉⠉⠉⠉⣹⣿⡿⠿⠛⠛⠛⠛⢻⢀⠀⢸⣗⣿⡟⡠⠸⠀⠀
⠀⠛⠀⠀⠀⠀⠀⠠⣾⣶⠄⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⢀⠀⢴⣄⠀⠶⠀⠶⠠⣶⣤⣴⡄⡏⣠⣬⡘⣿⠀⡀⠛⠃⣬⣶⣠⠀⠀⢀⢀⡐⠈⠿⠉⠀⠘⠿⣷⣿⣿⡍⠸⠀⣼⣺⣵⣰⣧⠀⠀⠀
⠘⢃⣀⡀⠀⠀⠀⠀⠾⠊⠀⠀⠀⠃⠀⡇⡄⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣻⣗⠘⠛⠇⣿⣾⠀⠀⠀⢸⣿⣿⠀⠀⠠⣠⡄⠔⢠⣶⡎⢰⣶⣿⡟⠻⠇⠐⠈⢸⣿⣿⣿⠇⢁⠀⠀
⠈⠁⠂⠀⠀⠀⠀⠀⣿⣯⠤⠀⠀⠀⠀⠃⠁⢀⣀⣀⣤⣤⣤⣄⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⣀⠀⢀⣿⣿⣿⡗⠀⠀⡀⢿⣿⣷⡀⢀⢸⣿⠃⠀⠀⠀⠿⠡⣿⣿⣿⠀⢸⣿⢷⣿⣿⣿⠀⠀⢸⣿⣿⡏⠀⠘⠀⠀
⠚⠿⠇⠀⠀⠀⠀⠀⠛⠛⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣷⣿⣿⣿⣿⣿⣷⣶⣿⣯⡁⠀⠀⠀⠀⠊⠰⠿⠿⠋⠀⠹⣿⠾⠿⠿⢿⠀⠀⢸⣿⡟⠀⡀⠀⠀⠀
⠀⠀⢲⠶⠶⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣬⣥⣭⣥⣤⣭⣿⣿⣿⣿⣿⣯⣿⣻⡛⠛⢻⣭⣭⠟⠀⠀⠀⢠⠀⠀⠀⠀⠀⠔⠦⠾⣷⣶⣶⣶⣤⡤⠤⠬⠧⠄⠀⠀⠀⠀⠀
⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡅⠹⣷⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠒⠂⠀⠰⠆⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀
⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠘⢿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠤⠀⠀⠰⠆⠀⠀⠀⠀⠀⠀⠀⠀
⣂⠀⠤⠄⠀⣀⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣿⣿⣿⣿⣿⣿⢿⣿⣛⠛⢉⣬⣉⡉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠈⠉⠁⠀⠀⠀⠠⣤⣤⣤⡤⠠⢠⡀⡉⠀⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣦⡀⠀⣀⣘⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡟⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⢀⢀⣀⠹⠟⠿⠿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⠿⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣽⣬⣩⣥⣽⣿⣿⣿⣿⣷⡛⠛⠿⠿⠹⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⣿⡟⣿⠁⠀⠀⠰⡿⠟⠁⠀⣢⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣝⠿⣮⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠋⠛⠿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠁⠉⠀⠀⠀⠘⠃⣤⣄⢈⠙⣻⣿⣧⣄⣝⣶⣦⣤⣤⣤⣆⣀⣄⣀⣀⣀⣀
⣌⠻⠗⠌⢳⡙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡈⠀⠀⠀⠀⠨⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠲⠾⢿⣿⡿⢫⣶⣿⣿⣿⣿⣿⣾⢞⢷⣣⡛⢻⠿⢿⣿⣿⣿
⠧⠁⠀⠴⢆⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠘⢿⣿⣿⣿⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠹⣷⣤⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢀⠀⠀⢀⠘⠀⣠⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⣀⣀⠀⠀⠀⠉⠉⠛⠛⠷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠈⣦⠀⠀⠀⣾⡇⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⣶⣶⣶⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⢠⣖⡀⠑⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠻⠛⠿⠛⠻⠛⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣁⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣰⣄⣈⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣀⣙⣀⣀⣀⣀⣁⣀⣀⣀⣀⣀⣀⣀⣀⣠⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⣠⣴⣶⣶⣶⣶⣶⣶⣄⣔⠀⠀⠠⢼⡇⢀⡀⢀⣀⠀⣀⠀⡀⡀⣀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿
⢰⣿⣿⣿⣿⣿⠛⣛⠛⠛⠛⠉⠈⠀⠸⡇⡞⣹⠐⣿⡀⢿⣇⢹⣃⠸⣃⠹⣂⠰⣤⠰⣤⢁⣶⠀⣷⠀⣶⠀⣦⠀⣀⠀⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡀⠘⣿⣿⣿⣿
⣸⣿⣿⠿⠿⠿⠜⠛⠁⠀⠀⠀⠀⠀⠀⡇⠀⠿⠀⠹⠅⠸⠇⠈⠟⠈⠿⠀⠿⠀⠛⠀⠛⠀⠉⠀⠀⠀⠈⠀⠉⠀⠁⠀⣿⣿⣿⣿⣿⣿⣻⣷⢀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠷⢾⣿⣳⣦⡙⠿⠿⠿
⠘⠛⠀⠀⠀⠀⠀⠀⠡⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠠⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠀⠀⠀⠒⠒⠒⠒⢂⢠⠼⢿⣿⣿⢿⣉⡇⢸⣧⡆⠉⠉⠉⠉⠉⠉⢹⣿⡿⠿⠛⠛⠛⠛⢻⢀⠀⢸⣗⣿⠟⡠⠸⠀⠀
⠈⠛⠀⠀⠀⠀⠀⠀⣶⣦⠤⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢴⣄⠀⠶⠀⠶⠠⣶⣤⣴⣄⡟⢠⣮⡜⢿⠀⡠⠛⠃⣬⣶⣤⠀⠀⠀⢀⡐⠈⠽⠉⢀⠘⠿⣷⣿⣿⡍⠘⠀⣼⣸⣵⣰⣧⠀⠀⠀
⠘⢃⣀⣀⠀⠀⠀⠀⠾⠋⠀⠀⠀⠃⠀⡇⡄⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣻⡗⠘⠛⠁⣿⣿⠀⠀⠀⢸⣿⣿⠀⠀⠠⣠⣤⠐⢀⣶⡞⢰⣶⣿⡟⠿⠇⠘⠈⢸⣿⣿⣿⠇⢀⠀⠀
⠈⠁⠂⠀⠀⠀⠀⠀⣿⣿⠄⠀⠀⠀⠀⠃⠀⢀⣀⣀⣤⣤⣤⣄⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⣀⠀⢀⣿⣿⣿⡗⠀⠀⡀⢿⣿⣷⡀⢀⢰⣿⠃⠀⠀⠀⠿⢁⣿⣿⣿⠀⢸⣿⢷⣿⣿⣿⠀⠀⢸⣿⣿⡏⠀⠘⠀⠀
⠚⠿⠇⠀⠀⠀⠀⠀⠛⠛⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣷⣿⣿⣿⣿⣿⣷⣶⣿⣯⡁⠀⠀⠀⠀⠊⠸⠿⠿⠏⠀⠹⣿⠾⠿⠿⢿⠀⠀⢸⣿⡟⠀⡀⠀⠀⠀
⠀⠀⢲⠶⠶⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣤⣥⣬⣥⣤⣽⣽⣿⣿⣿⣿⣿⣿⣻⡛⠛⢫⣭⣽⠟⠀⠁⠀⢠⠀⠀⠀⠀⠀⠔⠦⠾⣷⣶⣶⣶⣤⡤⠤⠬⠧⠄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡍⠹⣷⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠒⠂⠀⠰⠆⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀
⣯⡄⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠘⢿⣿⣆⠀⠀⡀⠀⠀⠀⠀⠀⠀⠤⠤⢴⠀⠀⠰⠆⠀⠀⠀⠀⠀⠀⠀⠀
⣀⠀⠤⠄⠀⣀⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣿⣿⣿⣿⣿⣿⢿⣿⣛⠛⢁⣥⣁⡁⠉⠉⠉⠉⠉⠈⠙⠀⠀⠈⠉⠁⠀⠀⠀⢠⣤⣤⣤⡤⠠⢠⡀⡉⠀⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀
⣷⣦⡀⠀⣀⣀⣿⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡏⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⢀⣀⠹⠿⠛⠛⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⠮⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣭⣬⣭⣥⣿⣿⣿⣿⣿⣧⡛⠛⠿⠿⠹⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⣿⡟⣿⠁⠀⠀⠰⡿⠟⠁⠐⣆⣀⡀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣝⠻⣮⠫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠛⠛⠿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠘⠃⣤⣄⢈⡙⣻⣿⣦⣼⣽⣿⣦⣄⣤⣴⣀⣀⣀⣠⣄⣀⣀
⣌⠻⠗⠌⢶⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠨⣿⣿⣿⣿⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠲⠿⢿⣿⡿⢛⣥⣿⣿⣿⣿⣿⢿⡿⠻⠷⣹⡻⡿⣿⣿⣿⣿
⠧⠁⠀⠠⢆⠒⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠘⢿⣿⣿⣿⣛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⣷⣤⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢀⠀⠀⢀⠘⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣄⣀⡀⠀⠀⠀⠉⠉⠛⠛⠷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⣾⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠈⣦⠀⠁⠀⣾⡇⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⢠⣖⣀⠙⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠻⠛⠟⠛⠻⠛⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣁⣰⣀⣈⣀⣀⣀⣀⣀⣀⣀⣀⣀⣉⣀⣛⣀⣀⣀⣈⣁⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⣤⣶⣶⣤⣶⣦⣤⣔⣠⣄⠀⠀⠠⢿⠀⢀⡀⢀⡀⢀⢀⢀⣀⠀⣀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿
⢸⣿⣿⣿⣿⣿⠛⣛⠛⠛⠛⠉⠉⠀⢸⠈⣸⣡⠈⣿⠈⣿⡆⢻⡇⢹⡂⠻⣀⢰⣤⢰⣤⠣⣦⠒⣷⠐⣦⠰⡆⢀⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠘⣿⣿⣿⣿
⣸⣿⣿⠿⠿⠿⠘⠛⠂⠀⠀⠀⠀⠀⢸⠀⠉⠿⠀⠿⠀⠸⠇⠸⠇⠘⠏⠀⠿⠀⠛⠀⠛⠀⠉⠀⠀⠀⠁⠈⠁⠘⠁⠀⣿⣿⣿⣿⣿⣿⣿⣷⢀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠷⣿⡿⣳⣤⡻⠿⠿⠿
⠙⠓⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠈⡄⠀⠀⠀⠠⠄⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠀⠀⠀⠐⠒⠒⠒⢂⢠⠬⣿⣿⣋⣿⢹⠁⢿⣧⡌⠉⠉⠉⠉⠉⠉⣹⣿⡿⡟⠛⠟⠛⠻⣃⢘⠀⢹⢷⣿⡟⡥⠈⠀⠀
⠘⠛⠀⠀⠀⠀⠀⠠⣷⣦⠄⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⡄⠐⢦⠐⠶⠠⣶⣤⣶⡄⡗⣤⣴⡸⡿⠉⠈⠿⢀⣯⣓⡤⠀⠀⠀⢀⢠⠈⡽⠉⠀⠘⢟⣷⣿⣿⡏⠙⠀⣾⣢⣤⣰⡧⠀⠀⠀
⣛⣂⣀⡀⠀⠀⠀⠀⠿⠁⠀⠀⠘⠃⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣟⣣⡇⠙⠹⢩⣿⡜⠀⠀⠀⠸⣿⡿⡄⠀⠀⣤⢤⠔⢠⣶⡎⢹⣾⡿⡟⠿⠇⠀⠈⣿⣿⣷⣿⠃⠀⠀⠀
⢈⠑⠀⠀⠀⠀⠀⠠⣿⣯⠄⠀⠀⠀⠀⠁⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⣀⠀⣘⡿⣿⣿⡇⠀⠀⠀⢿⣿⣧⡀⢀⢰⡿⠁⡇⠀⠀⠟⠱⣷⣿⣿⠀⣾⣿⣿⣿⣿⡿⠀⠀⣿⣿⣿⠇⠀⠀⠀⠀
⠛⠿⠇⠀⠀⠀⠀⠀⠛⠋⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣿⣿⣿⣷⣿⣧⣶⣿⣯⡁⠀⠃⠀⠰⠈⠸⠿⡿⠟⠀⡿⣿⠿⢿⢯⠿⠀⠀⣿⣿⡟⠀⡄⠀⠀⠀
⠀⠀⠶⠶⠶⠀⠀⠀⠀⠀⠀⢀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣥⣬⣭⣭⣥⣤⣭⣿⣿⣿⣿⣿⣿⣟⣿⡛⠛⣿⣭⣺⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠤⢾⣧⣴⣴⣧⣤⡤⠤⠴⠭⠄⠀⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣮⠉⠹⣷⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠖⠂⠀⠰⠆⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀
⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠙⣿⣿⡄⠀⠀⡀⠀⠀⠀⠀⠀⠀⠤⠤⠤⠀⠀⠰⠄⠀⠀⠀⠀⠀⠀⠀⠀
⣀⠀⠤⠄⠀⣀⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣭⣿⣽⣿⣿⣿⣿⣿⣿⢿⡿⣛⠛⢁⣥⣉⡉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠈⠉⠁⠀⠀⠀⢤⣤⣤⣤⡄⠠⣤⡀⡉⠀⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀
⣷⣦⡀⠀⣀⣐⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡏⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⢀⣀⠿⠟⠻⠳⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⢮⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣭⣭⣬⣭⣵⣿⣿⣿⣿⣿⣧⡛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⢿⡟⣿⠁⠀⠀⠸⡿⠟⠁⠐⣦⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣙⢷⣮⠪⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠹⢿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠘⠣⣀⣀⠈⠙⣳⣿⣆⡍⣉⣵⣦⣖⣴⣶⣦⣀⣀⣤⣄⣀⡀
⣌⠻⠷⠈⢷⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⡀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠶⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡧⣿⢿⠿⠿⣿⣿⣿⣿
⠏⠁⠀⠾⢄⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠸⣿⣿⣿⣿⡃⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠩⠛⢻⣦⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠊⠀⡌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣀⣀⡀⠀⠀⠀⠉⠉⠛⠻⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣷⣿⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠘⡦⠀⠀⠠⣾⡁⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⣰⣆⣈⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠻⠛⠿⠛⠻⠋⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣁⣴⣀⣉⣀⣀⣀⣀⣀⣀⣀⣀⣀⣁⣀⣙⣀⣀⣀⣈⣁⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⣤⣶⣶⣶⣶⣶⣤⣶⣀⣀⡀⠀⠠⢿⠀⡀⡀⢀⡀⢀⢀⢀⣀⠀⣀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⣿⣿⣿⢛⣛⠛⠛⠛⠉⠁⠀⢸⠈⣸⣣⠈⣿⠘⣿⡆⢻⡇⢻⡂⢿⣀⢲⣤⢰⣄⠳⣦⠓⣷⠰⣦⢰⡆⢀⡀⠀⣿⣿⣿⣿⣿⣿⣿⡿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠘⣿⣿⣿⣿
⣸⣿⢿⠿⠿⠿⠙⠛⠂⠀⠀⠀⠀⠀⢸⠀⠩⠿⠀⠿⠀⠸⠇⠸⠇⠸⠏⠨⠏⠀⠛⠀⠛⠀⠉⠀⠀⠀⠁⠈⠁⠘⠁⠀⣿⣿⣿⣿⣿⣿⣿⣷⢀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠷⣿⡟⣷⣦⡻⠿⠻⠿
⠘⠛⠀⠀⠀⠀⠀⠈⠄⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠤⠠⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠀⠀⠀⠀⠒⠒⠒⢢⣄⠮⣿⣿⣋⣿⢹⠀⣿⣷⠄⠉⠉⠉⠉⠉⠉⣹⣿⡿⡟⠛⠟⠛⠻⣇⢀⠀⢻⢷⣿⡟⡅⠘⠀⠀
⠘⠛⠀⠀⠀⠀⠀⢰⣶⡦⠄⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⣶⡄⠐⠦⠰⠦⠰⣶⣤⣦⡄⡇⣅⣰⡸⡿⠉⠸⡛⢀⣿⣓⡄⠀⠀⠀⢀⡠⠈⠿⠉⢀⠘⢟⣷⣿⣿⡇⠙⠀⣞⣮⣦⣴⡧⠀⠀⠀
⢛⣂⣀⡀⠀⠀⠀⠀⠿⠁⠀⠀⠘⠃⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣟⣧⡇⠙⠹⠷⣿⡜⠀⠀⠀⢿⣿⡟⡄⠀⠀⣤⣤⢖⢰⣶⡎⢺⣾⡿⡟⠿⠇⠀⠈⣿⣿⣷⣿⠁⠀⠀⠀
⢈⠐⠀⠀⠀⠀⠀⠠⣿⣯⠄⠀⠀⠀⠀⠁⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⣀⠀⣸⡿⣿⣿⡇⠀⠀⠀⢿⣿⣦⡀⢀⢰⡿⠁⡇⠀⠀⠟⠤⣿⣿⣿⠀⣾⣿⣿⣿⣿⡿⠀⠀⣿⣿⣿⠇⠀⠀⠀⠀
⠛⠿⠇⠀⠀⠀⠀⠀⠛⠋⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣷⣿⣷⣶⣿⣯⡁⠀⠃⠀⠐⠁⠾⠿⠿⠇⠀⢿⣿⠿⢿⠯⣿⠀⠀⣿⣿⡏⠀⡄⠀⠀⠀
⠀⠀⠶⠶⠶⠀⠀⠀⠀⠀⠀⢐⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣬⣤⣬⣭⣭⣥⣬⣽⣿⣿⣿⣿⣿⣿⣟⣟⠛⠛⣿⣭⣹⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠖⠤⢾⣷⣶⣴⣦⣤⡤⠤⠼⠭⠄⠀⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣮⠉⠹⣶⣶⡄⠀⠀⠀⠀⠀⠀⠀⠠⠒⠒⠖⠂⠀⠰⠂⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀
⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠹⣿⣿⡄⠀⠀⡄⠀⠀⠀⠀⠀⠀⠤⡤⡤⠀⠀⠰⠄⠀⠀⠀⠀⠀⠀⠀⠀
⣀⠀⠤⠄⠀⣀⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣭⣿⣽⣿⣿⣿⣿⣿⣿⢿⡿⣛⠛⢉⣤⣈⡈⠉⠉⠉⠉⠉⠁⠑⠀⠀⠈⠉⠁⠀⠀⠀⢤⢤⣤⣀⡄⠠⣤⠀⡉⠀⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀
⣷⣤⡀⢀⣀⣛⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡏⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⢀⣀⠿⠿⠿⢃⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣭⣬⣭⣵⣿⣿⣿⣿⣿⣧⡛⠛⠿⠿⠹⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⣿⡟⣿⠀⠀⠀⢸⡿⠛⠁⠰⣃⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⡙⢷⣌⠪⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠛⢿⣿⣿⣿⣿⣿⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠘⠤⣤⡀⠈⠙⣿⣞⣦⡉⣉⣤⣖⣶⣖⣶⣤⣀⣄⣠⣀⣀⣀
⣍⠻⡗⠘⢧⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡍⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠲⠾⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣟⣿⣿⠿⢿⢿⣿⢿⣿⣿⣿
⠏⠀⠀⠼⢄⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡇⠀⠀⠀⠀⠺⣿⣿⣿⣿⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢾⣶⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡀⠀⠀⡀⠋⠀⡌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣀⣀⡀⠀⠀⠀⠉⠉⠛⠻⠧⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠸⡤⠀⠁⠠⣾⡁⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⡰⣆⡀⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠻⠛⠟⠛⠻⢛⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣁⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣰⣄⣈⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣀⣙⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⣠⣶⣶⣴⣶⣶⣶⣖⣠⣆⠀⠀⠠⢾⡅⢀⡀⢀⣀⠀⣀⠀⣀⡀⣀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⣿⣿⣿⠛⣛⠛⠛⠛⠁⠉⠐⢸⡁⡾⣱⠘⣿⡈⢻⡇⢹⣇⢹⣃⠹⣂⠸⣤⠰⣤⠁⣶⠀⣷⠀⣶⠐⡦⢀⡀⠀⣿⣿⣿⣿⣿⣿⣿⡿⠿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡀⠈⣿⣿⣿⣿
⣸⣿⣻⠿⠿⠿⠜⠛⠂⠀⠀⠀⠀⠀⠨⡃⠁⠿⠀⠿⠅⠸⠇⠘⠏⠈⠿⠀⠿⠀⠛⠀⠛⠀⠉⠀⠀⠀⠀⠀⠁⠀⠁⠀⣿⣿⣿⣿⣿⣿⣿⣷⢀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠛⣿⡟⣳⣦⡙⢟⠛⠛
⠘⠛⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠠⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠄⠀⠀⠐⠐⠒⠒⠒⠒⢂⢠⠚⣿⣿⡟⣽⣉⠂⢸⣷⡇⠁⠀⠀⠈⢈⢁⣹⣿⡿⠟⠛⡛⡛⠙⢩⢠⠀⢸⠗⢿⠟⡶⠘⠀⠀
⠈⠛⠀⠀⠀⠀⠀⠠⣾⣦⠄⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⢀⠀⢶⣄⠀⠶⠀⠶⠠⣶⣤⣶⣄⡇⣵⣮⡘⣿⠇⠈⠛⠀⣮⣤⣤⠀⠀⢀⢀⡐⠈⠿⠉⠄⠘⠟⣿⣿⣿⡅⠘⠀⣞⣬⣶⣰⡧⠀⠀⠀
⡘⣃⣀⣀⠀⠀⠀⠀⠿⠉⠀⠀⠀⠃⠀⡇⡄⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣻⡗⠘⠛⠋⣾⣆⠀⠀⠀⢸⣿⣿⠀⠀⠠⣠⠤⠆⢀⣾⡏⢘⣾⡿⣟⠛⠃⠀⠈⢸⣿⣷⣿⠃⢀⠀⠀
⢀⠀⠂⠀⠀⠀⠀⠠⣿⣯⠄⠀⠀⠀⠀⠃⠀⢀⣀⣀⣄⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⣀⠀⣈⣿⣿⣿⡗⠀⠀⡀⠿⣿⣦⡀⢀⢰⡿⠃⠀⠀⠀⠟⠡⣷⣿⣿⠀⢸⣿⢷⣿⣿⡿⠀⠀⢸⣿⣿⠇⠀⠀⠀⠀
⠚⠿⠇⠀⠀⠀⠀⠀⠛⠛⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣷⣶⣿⣿⣁⠀⠀⠀⠐⠊⠸⠿⠛⠋⠀⠹⣿⠿⠿⡿⢾⠀⠀⢸⣿⡟⠀⡄⠀⠀⠀
⠀⠀⠶⠶⠶⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣤⣬⣬⣥⣤⣭⣿⣿⣿⣿⣿⣿⣿⣽⡛⠛⢷⣯⣽⠇⠀⠀⠀⢠⠀⠀⠀⠀⠀⠒⠦⠾⠷⣶⣶⣶⠶⠦⠤⠴⠷⠂⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠁⠹⣷⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠒⠚⠓⠂⠀⠰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠄⠘⢿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢤⣴⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀
⣀⠀⠤⠄⠀⣀⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⡿⣛⠛⢉⣭⣈⡈⠉⠉⠉⠉⠉⠈⠉⠁⠀⠈⠉⠁⠀⠀⠀⠠⣤⣤⣴⡄⠠⠤⠀⡈⠀⠀⠚⠂⠀⠀⠀⠀⠀⠀⠀⠀
⣷⣦⡀⠀⣀⣘⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡟⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⢀⢠⣀⡻⠟⠟⠛⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⠮⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣭⣬⣩⣷⣿⣿⣿⣿⣿⣧⡛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⣿⡟⣿⠁⠀⠀⠰⡿⠛⠁⠀⣂⡠⢠⣀⡀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣝⠿⣮⡫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠻⢿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠘⠃⣤⣄⣀⣉⣻⣮⣿⢬⣔⣵⢶⢴⣶⢦⣄⣀⣄⣠⣄⣀⣀
⣌⠻⠓⠌⢶⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠿⠿⢿⣟⢻⡵⣿⣿⣿⣿⣿⣽⣞⡶⡓⣻⠿⠿⢿⣿⣿⣿
⠏⠁⠀⠐⢆⠚⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠸⢿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢽⣶⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢀⠀⠀⢀⠈⠀⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣀⣀⡀⠀⠀⠀⠉⠉⠛⠻⠷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠘⣦⠀⠁⠀⣾⡅⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⣶⣶⣶⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⢰⣖⣀⠙⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠻⠛⠟⠛⠻⠋⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣁⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣰⣄⣈⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣀⣙⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⣠⣶⣶⣴⣶⣶⣤⣤⣀⣄⡀⠀⠠⢾⡅⢀⡀⢀⣀⠀⣀⠀⣀⡀⣀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢸⣿⣿⣿⣿⣿⠛⣛⠛⠛⠛⠉⠉⠐⢸⡇⣾⣱⠘⣿⡈⢻⡇⢻⣇⢹⣃⠸⣂⠸⣤⠰⣤⠁⣶⠀⣷⠀⣶⠐⡦⢀⡀⠀⣿⣿⣿⣿⣿⣿⣿⡿⠿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡀⠈⣿⣿⣿⣿
⣸⣿⣿⠿⠿⠿⠜⠛⠂⠀⠀⠀⠀⠀⠨⠃⠁⠿⠀⠿⠅⠸⠇⠘⠏⠈⠿⠀⠿⠀⠛⠀⠛⠀⠉⠀⠀⠀⠀⠀⠁⠀⠁⠀⣿⣿⣿⣿⣿⣿⣿⣷⢀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠛⣿⡟⣳⣦⡙⢟⠛⠛
⠘⠛⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠠⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠄⠀⠀⠐⠒⠒⠒⠒⠒⢂⢰⠞⢿⣿⡟⣿⣉⠀⢸⣷⡇⠀⠀⠈⠈⢀⢉⣹⣿⡿⠟⠛⡛⡛⠙⢻⢠⠀⢸⠗⢿⠟⡴⠘⠀⠀
⠈⠛⠀⠀⠀⠀⠀⠠⣾⣷⠄⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣄⠀⠶⠀⠶⠠⣶⣤⣶⣄⡇⣵⣮⡘⣿⠏⠀⠟⠀⣮⣤⣤⠀⠀⢀⢀⡐⠀⠿⠉⢄⠘⠟⣿⣿⣿⡇⠘⠀⣞⣬⣶⣰⡧⠀⠀⠀
⡘⢃⣀⡀⠀⠀⠀⠀⠿⠁⠀⠀⠀⠃⠀⡇⡄⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣻⣇⠘⠛⠋⣾⡆⠀⠀⠀⠸⢿⣿⠀⠀⠠⣠⡤⢂⢀⣾⡟⢸⣾⡿⣟⠛⠃⠀⠈⢸⣿⣷⣿⠃⢀⠀⠀
⢀⠀⠀⠀⠀⠀⠀⠠⣿⣯⠄⠀⠀⠀⠀⠃⠁⢀⣀⣀⣀⣠⣄⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⣀⠀⣈⣿⣟⣿⡗⠀⠀⡀⠿⣿⣦⡀⢀⢰⣿⠁⠀⠀⠀⠟⠑⣻⣿⣿⠀⢸⣿⢷⣿⣿⡿⠀⠀⢸⣿⣿⠇⠀⠀⠀⠀
⠚⠿⠇⠀⠀⠀⠀⠀⠛⠋⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣷⣶⣿⣿⣁⠀⠀⠀⠐⠀⠘⠻⠿⠉⠀⠹⣿⠺⠿⡿⢿⠀⠀⢸⣿⡟⠀⡄⠀⠀⠀
⠀⠀⢶⠶⠶⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣥⣬⣬⣥⣤⣭⣿⣿⣿⣿⣿⣿⣿⣽⡛⠛⢷⣯⣽⠃⠀⠀⠀⢠⠀⠀⠀⠀⠀⠒⠶⠾⠷⣶⣶⡶⠶⠦⠤⠴⠷⠂⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡁⠹⣷⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠒⠚⠒⠂⠀⠰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠘⢿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣴⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀
⣀⠀⠤⠄⠀⣀⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⡿⣛⠛⢋⣭⣁⡉⠉⠉⠉⠀⠉⠀⠉⠀⠀⠈⠉⠁⠀⠀⠀⢠⢦⣶⣤⡄⠠⠤⠀⡈⠀⠀⠚⠃⠀⠀⠀⠀⠀⠀⠀⠀
⣷⣦⡀⠀⣀⣘⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡟⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⢀⢠⣀⡻⠿⠟⠟⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⠮⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣭⣭⣬⣭⣵⣿⣿⣿⣿⣿⣷⡛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⣿⡟⣿⠁⠀⠀⠰⡿⠛⠁⠀⣆⡀⢠⣀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣝⠿⣮⠫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⠿⠛⠛⢿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠘⠃⣤⣄⣀⣉⣻⣵⣇⣝⣄⣶⣲⣶⣶⣦⣂⣠⣤⣠⣄⣀⣀
⣌⠻⡗⠌⢦⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠺⠿⣿⣟⣻⡵⢿⣿⣿⣿⣼⣿⣾⣛⣏⣟⢻⠿⠿⣿⣿⣿
⠏⠁⠀⠐⢆⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠐⢿⣿⣿⣿⣞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢀⠀⠀⢀⠈⠀⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣀⣀⡀⠀⠀⠀⠈⠉⠛⠛⠷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣾⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠘⣦⠀⠁⠀⣾⡅⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⣠⣖⣀⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠻⠛⠟⠛⠻⠛⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣁⣰⣀⣉⣀⣀⣀⣀⣀⣀⣀⣀⣀⣁⣀⣙⣀⣀⣀⣀⣁⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⣠⣴⣶⣴⣶⣶⣦⣆⣤⣄⡀⠀⠠⢿⠀⢀⡀⢀⡀⢀⣀⢀⣀⠀⣀⠀⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿
⢸⣿⣿⣿⣿⣿⠛⣛⠛⠛⠋⠉⠉⠀⢸⠈⣼⣣⠈⣿⠘⣿⡎⢻⡇⢹⡃⢻⣀⢲⣤⢰⣤⠣⣦⠐⣷⠐⣆⢰⡆⢀⡀⠀⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡀⠘⣿⣿⣿⣿
⣸⣿⡿⠿⠿⠿⠙⠛⠂⠀⠀⠀⠀⠀⢸⠀⠉⠿⠀⠿⠀⠸⠇⠸⠇⠸⠿⠀⠿⠀⠛⠀⠛⠀⠉⠀⠀⠀⠀⠀⠁⠘⠁⠀⣿⣿⣿⣿⣿⣿⣿⣷⣀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠷⣿⡟⣷⣦⡛⠟⠻⠻
⠙⠛⠀⠀⠀⠀⠀⠀⠅⠀⠀⠀⠀⠀⠨⡄⠀⠀⠀⠠⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠄⠀⠀⠐⠒⠒⠒⠒⢢⢠⠮⣿⣿⡟⣻⣹⠀⢿⣷⡁⠉⠉⠉⠉⠉⢉⣹⣿⡿⡟⠛⠛⡛⠛⢣⢈⠀⢹⢷⣿⠟⡄⠘⠀⠀
⠘⠛⠀⠀⠀⠀⠀⢠⣾⣦⠄⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⡄⠐⠶⠐⠶⠠⣶⣤⣶⣄⡗⣵⣴⠸⣿⠏⠉⠻⢀⣯⣤⣤⠀⠀⢀⢀⣰⠈⠿⠩⠄⠘⢟⣿⣿⣿⡇⠙⠀⣞⣭⣶⣴⡧⠀⠀⠀
⠙⢋⣀⡀⠀⠀⠀⠀⠿⠈⠀⠀⠘⠃⠀⡃⠀⠀⠀⠀⠀⠠⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣟⣣⡇⠙⠻⢳⣾⡄⠀⠀⠀⢺⣿⡟⡄⠀⠀⣤⠤⣂⢀⣾⡏⢸⣾⡿⡟⠿⠃⠀⠉⣿⣿⣷⣿⠃⠀⠀⠀
⢈⠑⠀⠀⠀⠀⠀⠠⣿⣯⠄⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣠⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⣀⠀⣘⣿⣿⣿⡇⠀⠀⠀⢿⣿⣦⡀⣀⢰⡿⠁⡇⠀⠀⠟⢐⣿⣿⣿⠀⣾⣿⣿⣿⣿⡿⠀⠀⣿⣿⣿⠇⠀⠀⠀⠀
⠛⠿⠇⠀⠀⠀⠀⠀⠛⠋⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣯⣁⠀⠁⠀⠐⠉⠸⠿⠿⠏⠀⢿⡿⠿⠿⡿⢿⠀⠀⢻⣿⡏⠀⡄⠀⠀⠀
⠀⠀⢶⠶⠶⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣬⣭⣬⣤⣬⣽⣿⣿⣿⣿⣿⣿⣿⣿⡛⠛⣿⣭⣽⠃⠀⠀⠀⢀⠀⠀⠀⠀⠀⠒⠶⠾⠷⣶⣶⡶⡶⠦⠤⠴⠷⠄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠁⠹⣷⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠒⠚⠒⠂⠀⠰⠆⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀
⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠙⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⣶⠀⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀
⣀⠀⠤⠄⠀⣀⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣭⣿⣽⣿⣿⣿⣿⣿⣿⢿⡿⣛⠛⢉⣭⣈⡈⠉⠉⠉⠉⠉⠀⠉⠀⠀⠈⠉⠀⠀⠀⠀⢤⣤⣤⣦⡄⠠⠤⠀⡉⠀⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀
⣷⣦⡀⠀⣀⣘⣽⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⡏⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⢀⢀⣀⠻⠿⠻⠛⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⢮⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣭⣬⣭⣵⣿⣿⣿⣿⣿⣧⡛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⣿⡟⣿⠁⠀⠀⠸⡿⠋⠁⠸⣦⡀⣠⡀⡀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣝⠷⣮⠫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠿⠛⠻⢿⣿⣿⣿⣿⣿⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠘⠂⣤⣄⣀⣉⣿⣤⣥⣥⣘⣧⣲⣴⣶⣒⣤⣀⣠⣤⣄⣀⣀
⣌⠻⡓⠌⢷⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠻⠷⢿⣿⣟⢻⠴⣿⣿⣿⣿⣿⢿⢿⡻⣻⣟⡛⡿⣿⣿⣿⣿
⠇⠁⠀⠀⢆⠚⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡦⠀⠀⠀⠀⠘⣿⣿⣿⣿⣛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢸⣶⣶⣶⣶⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿
⢀⠀⠀⢀⠈⠀⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣀⡀⠀⠀⠀⠉⠉⠛⠻⠷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠘⣦⠀⠁⠀⣾⡇⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⣾⣶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⣰⣖⡀⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠻⠛⠟⠛⠻⠓⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢀⣒⣒⣒⣒⣐⣂⣰⣀⣉⣀⣀⣀⣀⣀⣀⣀⣀⣀⣁⣀⣙⣀⣀⣀⣈⣁⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠠⣤⣤⣤⣤⠀⠀⢸⠀⡀⡀⢀⡀⢀⣀⢀⣀⠀⣀⢀⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠘⣙⡛⠛⠋⠙⠈⢸⠈⢸⣃⠘⣽⠘⣿⡌⢻⡇⢹⡀⢻⣀⢳⣤⢰⣄⠴⡦⠒⣗⠰⣆⢰⡆⢀⡀⠀⣿⣿⣿⣿⣿⣿⣿⡿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡀⠙⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠻⠯⠽⠥⠬⠩⠉⢹⠀⠩⠯⠀⠿⠀⠺⠇⠸⠇⠸⠏⠸⠟⠈⠛⠀⠋⠀⠉⠀⠀⠀⠁⠈⠁⠘⠁⠀⣿⣿⣿⣿⣿⣿⣿⣶⣀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠷⣿⡟⣷⣦⡻⠟⠻⠿
⠘⠃⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠠⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠄⠄⠀⠀⠀⠐⠒⠒⠒⢢⡄⢮⣿⣿⠟⣿⢹⠀⣿⣷⠈⠉⠉⠉⠉⠉⢉⣹⣿⡿⠟⠛⠛⠛⠛⣇⣀⠀⢻⢳⣿⠟⡄⠄⠀⠀
⠘⠛⠀⠀⠀⠀⠀⢠⣾⡦⠄⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⡄⠐⢶⠰⠦⠠⣶⣤⣦⣄⡇⣗⣤⠸⣿⠇⠩⠟⢀⣧⣤⡄⠀⠀⢀⢀⡠⠈⠿⠡⠀⠘⢟⣿⣿⣿⡇⠛⠀⣗⣭⣦⣴⡧⠀⠀⠀
⠘⢂⣀⡀⠀⠀⠀⠀⠯⠀⠀⠀⠘⠃⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣟⣿⡇⠙⠻⢳⣿⡀⠀⠀⠀⠻⣿⡏⡄⠀⠀⣤⠤⡂⢀⣶⡏⢸⣾⣿⡛⠿⠇⠀⠉⣿⣿⣷⣿⠁⠀⠀⠀
⢈⠑⠀⠀⠀⠀⠀⠠⣿⣯⠄⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⢀⣀⠀⣸⣿⣿⣿⡇⠀⠀⠈⢿⣿⣦⡀⣀⢰⡿⠁⡇⠀⠀⠟⢐⣷⣿⡿⠀⣿⣿⣿⣿⣿⡿⠀⠀⣿⣿⣿⠃⠀⠀⠀⠀
⠘⠿⠇⠀⠀⠀⠀⠀⠛⠃⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣶⣶⣿⣯⡁⠀⠃⠀⠐⠁⠘⠿⠿⠏⠀⢿⡿⠿⠿⠿⣿⠀⠀⢿⣿⠏⠀⡄⠀⠀⠀
⠀⠀⢶⠶⠶⠀⠀⠀⠀⠀⠀⢀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣬⣥⣭⣤⣬⣽⣿⣿⣿⣿⣿⣿⣏⣟⡛⠛⣿⣭⣽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠦⠾⢷⣶⣶⡶⡶⠦⠤⠼⠷⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠉⠹⣶⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠒⠂⠀⠰⠆⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀
⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠹⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⡦⠀⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀
⣀⠀⠤⠄⠀⣀⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⡿⣛⠛⢉⣤⣈⡁⠉⠉⠉⠉⠉⠈⠁⠀⠀⠈⠉⠀⠀⠀⠀⢤⣤⣤⣤⡄⠤⠤⠀⠁⠀⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀
⣷⣦⡀⠀⣀⣙⣯⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⡏⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⢀⣀⠿⠿⠛⢋⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⢮⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣭⣬⣭⣵⣿⣿⣿⣿⣿⣧⠛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⣿⡟⣿⠀⠀⠀⠸⡿⠋⠁⠰⣆⡄⣀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⡙⢷⣌⢪⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠿⠟⠋⠛⢿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠘⠢⣤⣄⣈⡙⣫⣵⣐⣀⣈⣕⣔⡢⠦⢔⢄⢀⣀⣠⣀⣀⣀
⣍⠻⠁⠈⢧⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡂⠀⠀⠀⠀⠀⠨⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠓⠾⡿⣿⢛⣫⠴⣿⣿⣿⣿⣮⣿⣼⠹⢫⠻⡟⠻⣿⣿⣿⣿
⠅⠁⠀⠘⢄⠚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠆⠀⠀⠀⠀⠸⢿⣿⣿⣟⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠜⣦⣦⣶⣶⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿
⡀⠀⠀⠀⠊⠀⡌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣀⣀⡀⠀⠀⠀⠉⠉⠛⠻⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠘⡤⠀⠀⠠⣾⠁⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣷⣶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⣰⣆⡀⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠻⠛⠟⠛⠻⢓⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢀⣒⣒⡒⣒⣐⡂⣰⣀⣉⣀⣀⣀⣀⣀⣀⣀⣀⣀⣁⣀⣙⣀⣀⣀⣀⣁⣀⣀⣀⣀⣀⣀⣀⣀⣠⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠠⣤⣤⣤⡤⠀⠀⢸⠀⣀⡀⢀⡀⢀⣀⢀⣀⠀⡀⢀⡀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠘⣙⡛⠛⠋⠙⠈⢸⠈⣼⣣⠈⣿⠘⣿⡌⢻⡇⢹⡂⢻⣀⢺⣤⢰⣤⠡⣶⠑⣗⠐⣆⢰⡆⢀⡀⠀⣿⣿⣿⣿⣿⣿⣿⡿⠿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡀⠘⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠻⠯⠽⠥⠬⠩⠉⢹⠀⠩⠿⠀⠿⠀⠸⠇⠸⠇⠸⠏⠈⠟⠀⠛⠀⠛⠀⠉⠀⠀⠀⠁⠀⠁⠘⠁⠀⣿⣿⣿⣿⣿⣿⣿⣷⣀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠓⣿⡟⣷⣦⡛⠟⠛⠻
⠘⠃⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⢨⡄⠀⠀⠀⠠⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠀⠀⠀⠐⠒⠒⠒⠒⢢⡠⠪⣿⣿⠟⣻⣹⠀⣿⣷⠀⠁⠉⠉⠉⠈⢉⣹⣿⠿⡟⠛⠛⡛⠛⢧⢀⠀⢸⠳⡿⠟⡆⠈⠀⠀
⠘⠛⠀⠀⠀⠀⠀⠰⣾⣦⠄⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⡄⠐⠶⠐⠶⠠⣶⣤⣶⣄⡗⣕⣤⠸⣿⠇⠉⠟⢀⣧⣤⡄⠀⠀⢀⢀⡰⠨⠿⠁⠄⠘⢟⣿⣿⣿⡇⠙⠀⣞⣭⣶⣴⡧⠀⠀⠀
⡀⢂⣀⡀⠀⠀⠀⠀⠿⠀⠀⠀⠘⠃⠀⠁⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣟⣻⡇⠙⠻⢳⣿⡀⠀⠀⠀⠻⣿⡟⡄⠀⠀⣤⡠⠂⢀⣾⡏⢸⣾⡿⡟⠿⠇⠀⠉⣾⣿⣷⣿⠁⠀⠀⠀
⠀⠐⠀⠀⠀⠀⠀⠠⣿⣯⠄⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⣀⠀⣘⣿⣿⣿⡇⠀⢀⠘⢿⣿⣦⡀⣀⢰⡿⠁⡇⠀⠀⠟⢔⣿⣿⣿⠀⣾⣿⣿⣿⣿⡿⠀⠀⣿⣿⣿⠇⠀⠀⠀⠀
⠛⠟⡁⠀⠀⠀⠀⠀⠛⠃⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣯⣁⠀⠁⠀⠐⠀⠘⠿⠛⠃⠀⢿⡿⠿⠿⠿⢿⠀⠀⢿⣿⠏⠀⡄⠀⠀⠀
⠀⠀⢶⠶⠶⠀⠀⠀⠀⠀⠀⢐⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣬⣤⣤⣭⣬⣤⣬⣽⣿⣿⣿⣿⣿⣿⣟⣟⡛⠛⣿⣭⣽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠶⠾⢷⣶⣶⡶⡶⠤⠤⠼⠧⠂⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠁⠹⣷⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠒⠓⠒⠂⠀⠰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠘⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⣶⠀⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀
⣀⠀⠤⠄⠀⣀⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⡿⣛⠛⢉⣤⣀⡉⠉⠉⠉⠉⠀⠈⠉⠁⠀⠈⠉⠁⠀⠀⠀⢤⣤⣦⣤⡄⠠⠤⠀⡉⠀⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀
⣷⣦⡀⠀⣀⣘⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⡏⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⢀⢀⣀⠿⠿⠻⠙⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⢯⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣭⣬⣭⣵⣿⣿⣿⣿⣿⣧⡛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⣿⡟⣿⠁⠀⠀⠸⡿⠋⠁⠐⣦⡀⢠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣙⠷⣮⠪⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠋⠛⢿⣿⣿⣿⣿⣿⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠈⠂⢤⣄⣈⣙⢻⣤⣔⣀⣸⣥⡴⢦⣴⡖⢀⢄⣠⣠⣀⣀⣀
⣌⠻⠃⠈⢷⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⡀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠓⠾⣿⣿⣛⢛⡴⣿⣿⣿⣿⣿⣭⣿⠶⢧⡻⣟⠻⣿⣿⣿⣿
⠉⠁⠀⠐⢄⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠸⢿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠼⣶⣦⣶⣶⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠊⠀⡌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣀⣀⠀⠀⠀⠀⠈⠉⠛⠻⠷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣷⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠘⡦⠀⠁⠀⣾⡅⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⣰⣆⡀⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠻⠛⠟⠛⠻⢓⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢀⣒⣒⣒⣒⡐⢂⣰⣀⣉⣀⣀⣀⣀⣀⣀⣀⣀⣀⣁⣀⣙⣀⣀⣀⣀⣁⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠠⣤⣤⣤⣤⠀⠀⢸⠀⡀⡀⢀⡀⢀⣀⢀⣀⠀⣀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡘⣙⡛⠛⠋⠙⠘⢸⠈⣼⣣⠈⣿⠘⣿⡌⢻⡇⢹⡂⢿⣀⢻⣤⢰⣤⠳⣦⠒⣗⠐⣆⢰⡆⢀⡀⠀⣿⣿⣿⣿⣿⣿⣿⡿⠿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡀⠘⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠻⠯⠽⠥⠭⠩⠉⢹⠀⠩⠿⠀⠿⠀⠸⠇⠸⠇⠸⠏⠈⠟⠀⠛⠀⠛⠀⠉⠀⠀⠀⠁⠀⠁⠘⠁⠀⣿⣿⣿⣿⣿⣿⣿⣷⣀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠓⣿⡟⣷⣦⡛⠟⠛⠻
⠘⠃⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⢈⡄⠀⠀⠀⠠⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠀⠀⠀⠀⠒⠒⠒⠒⢢⡠⠪⣿⣿⠟⣻⣹⠀⢿⣦⠄⠁⠉⠉⠉⠈⢉⣹⣿⡿⠟⠛⠛⡛⠛⢧⢀⠀⢸⠷⠿⠟⡄⠈⠀⠀
⠘⠛⠀⠀⠀⠀⠀⠠⣶⣦⠄⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⣶⡄⠐⠶⠐⠶⠠⣶⣤⣶⣄⡗⣕⣦⠸⣿⠇⠩⠽⢀⣧⣤⡄⠀⠀⢀⢀⡠⠨⠿⠁⢄⠘⢟⣿⣿⣿⡇⠙⠀⣞⣭⣶⣴⡧⠀⠀⠀
⡀⢃⣀⡀⠀⠀⠀⠀⠞⠁⠀⠀⠘⠃⠀⡁⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣟⣻⡇⠙⠻⢻⣾⡀⠀⠀⠀⢻⣿⡟⡄⠀⠀⣤⡤⡂⢀⣾⡏⢸⣾⡿⡟⠿⠃⠀⠉⣿⣿⣷⣿⠁⠀⠀⠀
⠈⠐⠀⠀⠀⠀⠀⠠⣿⡯⠄⠀⠀⠀⠀⠃⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⣀⠀⣘⣿⣿⣿⡇⠀⠀⠘⢿⣿⣦⡀⣀⢰⡿⠁⡇⠀⠀⠟⢔⣿⣿⣿⠀⣿⣿⣿⣿⣿⡿⠀⠀⣿⣿⣿⠇⠀⠀⠀⠀
⠛⠟⡁⠀⠀⠀⠀⠀⠛⠋⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣯⣁⠀⠁⠀⠐⠀⠸⠿⠿⠇⠀⠿⡿⠿⠿⠫⢿⠀⠀⢿⣿⡏⠀⡄⠀⠀⠀
⠀⠀⢶⠶⠶⠀⠀⠀⠀⠀⠀⢀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣬⣯⣤⣤⣤⣽⣿⣿⣿⣿⣿⣿⣟⣟⡛⠛⣽⣯⣽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠦⠾⢷⣶⣶⡶⡶⠤⠤⠴⠷⠂⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡁⠹⣷⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠒⠓⠒⠂⠀⠰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠄⠙⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⣶⠀⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀
⣀⠀⠤⠄⠀⣀⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣭⣿⣽⣿⣿⣿⣿⣿⣿⢿⡿⣛⠛⢁⣤⣈⡀⠉⠉⠉⠉⠉⠉⠉⠀⠀⠈⠉⠁⠀⠀⠀⢢⣤⣦⣤⡄⠠⠤⠀⠉⠀⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀
⣷⣦⡀⠀⣀⣛⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⡏⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⢀⣀⠿⠟⠻⠛⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⢯⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣏⣭⣬⣭⣵⣿⣿⣿⣿⣿⣧⠛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⣿⡟⣿⠁⠀⠀⠸⡿⠋⠁⠰⣷⡤⢄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣯⣙⠷⣮⠫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠻⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠁⠉⠀⠀⠀⠘⠀⣤⣄⣈⣉⣿⣧⣌⣭⣣⣥⣴⣲⣶⣶⡂⢤⣠⣤⣠⣀⣀
⣌⠻⠓⠈⢧⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣂⠀⠀⠀⠀⠀⠤⢿⣿⣿⣿⡿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠻⠿⣿⣿⣟⣛⡼⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿
⠏⠁⠀⠐⢆⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠰⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠩⣿⣶⣦⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠊⠀⡌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣤⣀⣀⡀⠀⠀⠀⠉⠉⠛⠻⠷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠘⡦⠀⠁⠠⣾⡁⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⣶⣶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⣰⣆⡀⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠻⠛⠟⠛⠻⢓⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢀⣒⣒⣒⣒⣐⡂⢰⣄⣈⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣀⣙⣀⣀⣀⣀⣁⣀⣀⣀⣀⣀⣀⣀⣀⣠⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠠⣤⣤⣤⣤⠀⠀⢸⡀⢀⡀⢀⣀⠀⣀⠀⣀⠀⣀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠘⣙⡛⠛⠋⠙⠈⢸⠄⣼⣱⠘⣿⡀⢿⡆⢻⣇⢹⣃⢹⣀⠸⣤⠰⣤⠁⣶⠐⣷⠀⣶⠐⡦⢀⡀⠀⣿⣿⣿⣿⣿⣿⣿⡿⠿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡀⠘⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠻⠯⠽⠥⠬⠩⠉⢹⠇⠁⠿⠀⠿⠁⠸⠇⠸⠏⠈⠿⠀⠿⠀⠛⠀⠛⠀⠉⠀⠀⠀⠁⠀⠁⠀⠁⠀⣿⣿⣿⣿⣿⣿⣿⣷⢀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠛⣿⡟⣳⣦⡙⠟⠛⠻
⠘⠓⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠠⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠄⠀⠀⠀⠀⠒⠒⠒⠒⢂⢠⠪⣾⣿⡟⣻⣉⠀⢸⣧⡆⠁⠉⠉⠉⠈⠉⣹⣿⡿⠟⠛⡛⡛⠙⢻⢀⠀⢸⠗⠿⠟⡴⠘⠀⠀
⠀⠈⠀⠀⠀⠀⠀⠠⣶⡦⠤⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣄⠀⠶⠀⠶⠠⣶⣤⣶⣄⡏⣕⣤⠸⣿⠇⠉⠝⠀⣬⣤⣤⠀⠀⢀⢀⡐⠈⠿⠍⠀⠘⠟⣿⣿⣿⡇⠘⠀⣞⣭⣶⣰⡧⠀⠀⠀
⠀⠀⢀⣀⠀⠀⠀⠀⠦⠀⠀⠀⠀⠃⠀⡇⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣻⡇⠙⠻⢳⣾⡀⠀⠀⠀⠸⣿⣿⠀⠀⠀⣤⡤⠂⢀⣶⡏⢸⣶⡿⣟⠻⠃⠀⠈⢸⣿⣷⣿⠃⠀⠀⠀
⠀⠐⠘⠀⠀⠀⠀⠠⣿⣯⠄⠀⠀⠀⠀⠁⠀⢀⣀⣀⣀⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⣀⠀⣘⣿⣿⣿⡗⠀⠀⡀⢿⣿⣦⡀⢀⢰⡿⠁⠀⠀⠀⠟⢁⣷⣿⣿⠀⢸⣿⢷⣿⣿⡿⠀⠀⢸⣿⣿⠇⠀⠀⠀⠀
⠘⠿⠇⠃⠀⠀⠀⠀⠛⠋⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣯⣁⠀⠀⠀⠀⠉⠸⠿⠟⠋⠀⠸⣿⠿⠿⡿⣾⠀⠀⢸⣿⡟⠀⡄⠀⠀⠀
⠀⠀⢶⠶⠶⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣤⣬⣤⣤⣤⣭⣽⣿⣿⣿⣿⣿⣿⣝⡛⠛⣿⣭⣽⠇⠀⠀⠀⢠⠀⠀⠀⠀⠀⠒⠶⠾⠷⣶⣶⡶⡶⠦⠤⠼⠦⠂⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡁⠹⣷⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠒⠂⠀⠰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢰⡄⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠘⢿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⣴⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠤⠄⠀⣀⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⡿⣛⠛⢁⣬⣀⡀⠁⠉⠉⠉⠁⠈⠁⠀⠀⠈⠉⠁⠀⠀⠀⢠⢤⣦⣤⡤⠠⠤⠀⠈⠀⠀⠚⠂⠀⠀⠀⠀⠀⠀⠀⠀
⣶⣦⡀⠀⣀⣘⣯⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⡏⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⢀⢀⣀⠹⠟⠛⠛⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⠮⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣭⣭⣬⣭⣥⣿⣿⣿⣿⣿⣧⠛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⣿⡟⣿⠀⠀⠀⠰⡿⠛⠁⠐⣆⡀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣝⠿⣮⠫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠋⠻⠻⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠘⠂⣤⣄⣀⣉⣻⣍⣒⢠⡔⣠⣤⡲⢶⢦⢀⡀⣠⣤⣄⣀⣀
⣌⠻⠓⠌⢷⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠚⠿⢿⣿⡛⡋⡤⢾⣿⣿⣿⣿⣕⣔⢮⢿⣽⣟⢿⣿⣿⣿⣿
⠏⠁⠀⠀⢆⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠠⢿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣤⣴⣶⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿
⢀⠀⠀⢀⠈⠀⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣀⣀⠀⠀⠀⠀⠉⠉⠛⠛⠧⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠈⣦⠀⠁⠀⣾⡇⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⣰⣖⡀⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠻⠛⠟⠛⠻⠓⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢀⣒⣒⣒⣒⣐⢂⣰⣄⣈⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣀⣙⣀⣀⣀⣀⣁⣀⣀⣀⣀⣀⣀⣀⣀⣠⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢠⣤⣤⣤⣤⠀⠀⢸⠁⢀⡀⢀⣀⠀⣀⠀⣀⠀⣀⠀⡀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠘⣙⡛⠛⠋⠙⠈⢸⠀⣼⣱⠘⣿⡀⢿⡆⢻⣇⢹⣃⠹⣀⠸⣤⠨⣤⠁⣶⠐⣷⠀⣶⠐⡦⢀⡀⠀⣿⣿⣿⣿⣿⣿⣿⡿⠿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡀⠘⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠻⠯⠽⠭⠬⠩⠉⢹⠀⠁⠿⠀⠿⠃⠸⠇⠸⠏⠈⠿⠀⠿⠀⠛⠀⠛⠀⠉⠀⠀⠀⠀⠀⠁⠀⠁⠀⣿⣿⣿⣿⣿⣿⣿⣷⢀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠛⣿⡟⣳⣦⡙⠟⠛⠛
⠈⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠠⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠄⠀⠀⠀⠐⠒⠒⠒⠒⢂⢠⠪⣾⣿⡟⣻⣉⠀⢸⣧⡄⠁⠉⠉⠉⠀⠁⣹⣿⡿⠟⠛⡛⡛⠛⢫⢀⠀⢸⠗⣿⠟⡤⠘⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠠⣶⣦⠄⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣄⠀⠶⠀⠶⠠⣶⣤⣶⣄⡏⣔⣠⠸⣿⠇⠩⠙⠀⣬⣤⣤⠀⠀⢀⢀⠐⠈⠿⠉⠀⠘⠟⣿⣿⣿⡍⠘⠀⣾⣭⣵⣰⡧⡀⠀⠀
⠀⠀⠠⣄⠀⠀⠀⠀⠮⠀⠀⠀⠀⠃⠀⡇⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣟⣻⡇⠙⠻⢳⣾⡀⠀⠀⠀⠸⣿⣿⠀⠀⠠⣠⡤⠀⢀⣾⡏⢸⣶⣿⣟⠻⠃⠀⠈⢸⣿⣷⣿⠃⢀⠀⠀
⠀⠀⠈⠃⠀⠀⠀⠠⣿⣯⠄⠀⠀⠀⠀⠃⠀⢀⣀⣀⣀⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⣀⠀⣘⣿⣿⣿⡇⠀⠀⡀⢿⣿⣦⡀⢀⢰⡿⠁⠀⠀⠀⠟⢑⣷⣿⡛⠀⢸⣿⢷⣿⣿⡿⠀⠀⢸⣿⣿⠇⠀⠀⠀⠀
⠀⠿⠇⠛⠀⠀⠀⠀⠛⠛⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣯⣁⠀⠀⠀⠀⠁⠘⠻⠟⠋⠀⠸⣿⠾⠿⡿⢿⠀⠀⢸⣿⡟⠀⡀⠀⠀⠀
⠀⠀⢶⠶⠶⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣬⣭⣤⣤⣬⣽⣽⣿⣿⣿⣿⣿⣿⣿⡛⠛⢿⣭⣽⠇⠀⠀⠀⢠⠀⠀⠀⠀⠀⠒⠶⠾⠷⣶⣶⡦⠶⠦⠤⠼⠧⠂⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡁⠹⣷⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠒⠚⠒⠂⠀⠰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠘⢿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢤⣴⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀
⠁⠀⠤⠄⠀⣀⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⡿⣛⠛⢁⣤⣁⡈⠈⠉⠉⠈⠉⠈⠉⠀⠀⠈⠉⠁⠀⠀⠀⢠⣤⣦⣤⡤⠠⠤⠀⠈⠀⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀
⣷⣦⡀⠀⣀⣘⣯⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⡏⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⢀⣀⠹⠟⠛⠛⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⠮⣝⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣭⣌⣭⣥⣿⣿⣿⣿⣿⣧⠛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⣿⡟⣿⠀⠀⠀⠸⡿⠛⠁⠐⣦⡀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣝⠿⣮⠫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠇⠛⠻⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠘⠂⢤⣄⣀⣉⣻⡆⣀⢀⣈⣥⣤⡢⣶⢄⢀⣀⣠⣤⣄⣀⣀
⣌⠻⠓⠌⢧⡙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⡀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠓⠲⢿⣿⣟⢛⡴⢿⣿⣿⣿⣵⣧⢼⠺⢞⠹⡛⠻⣿⣿⣿⣿
⠏⠁⠀⠈⢆⠚⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠿⣿⣿⣿⡓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢸⣷⣤⣶⣶⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿
⢀⠀⠀⢀⠈⠀⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣀⣀⡀⠀⠀⠀⠉⠉⠛⠛⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠈⣦⠀⠀⠀⣾⠇⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⢰⣖⣀⠑⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠻⠛⠟⠛⠻⠓⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢀⣒⣒⣒⣒⣐⣂⣰⣄⣈⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣀⣙⣀⣀⣀⣀⣁⣀⣀⣀⣀⣀⣀⣀⣀⣠⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢠⣤⢤⣤⣤⠀⠀⢸⡇⢀⡀⢀⣀⠀⣀⠀⣀⡀⣀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢘⣛⡋⠛⠋⠙⠈⢸⡇⡜⣰⠘⣿⡀⢳⣇⢹⣇⠸⣃⠹⣂⠐⣥⠰⣦⠁⣶⠀⣿⠀⣶⠀⣶⠀⣀⠀⣿⣿⣿⣿⣿⣿⣿⡿⠿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣏⡀⠈⣻⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠻⠯⠽⠥⠬⠩⠉⠁⡇⠀⠿⠀⠹⠇⠸⠇⠈⠟⠀⠿⠀⠿⠀⠛⠀⠛⠈⠉⠀⠀⠀⠀⠀⠁⠀⠁⠀⣹⣿⣿⣿⣿⣿⣿⣷⢀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⢻⣿⣳⣦⡙⠟⠛⠛
⠈⠁⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⡇⠀⠠⠀⠤⠠⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠀⠀⠀⠐⠂⠒⠒⠒⠒⢂⢠⠒⣾⣿⡿⢻⣉⡇⢸⣧⡆⠀⠀⠀⠀⠀⠀⣰⣿⡿⠿⠛⡛⠛⠙⢻⢀⠀⢸⠗⠿⠟⡶⠸⠀⠀
⣶⠀⠀⠀⠀⠀⠀⠀⣶⣶⠤⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣄⠀⠶⠄⠶⠠⣶⣤⣶⣤⡏⣔⣮⠸⣿⠇⢉⠟⠀⣬⣤⣤⠀⠀⢀⢀⡀⠀⠿⠇⠄⠘⠟⣿⣿⣿⡏⠘⠀⣜⣭⣴⣰⣧⡀⠀⠀
⡹⠀⠀⢰⣆⠀⠀⠀⠾⠃⠀⠀⠀⠃⠀⡇⡄⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣻⡇⠙⠹⠻⣾⡈⠀⠀⠀⢸⣿⣿⠀⠀⢠⢠⠀⢀⢀⣾⡟⢸⣶⣿⣟⠛⠃⠀⠈⢸⣿⣷⣿⠃⢀⠀⠀
⣄⠀⠀⠘⠋⠀⠀⠀⣿⣯⠄⠀⠀⠀⠀⠁⠀⢀⣀⣀⣤⣤⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⣀⠀⣀⣿⣿⣿⡗⠀⠀⡈⠿⣿⣦⡀⢀⢰⣿⠁⠀⠀⠀⠟⠁⣺⣏⢿⠀⢸⣿⢷⣿⣿⣿⠀⠀⢸⣿⣿⠏⠀⠘⠀⠀
⠇⠀⠇⠈⠃⠀⠀⠀⠛⠛⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⠿⣿⣿⢿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣷⣶⣿⣿⣁⠀⠀⠀⠀⠂⠘⠿⠿⠏⠀⠸⣿⠾⠿⡿⢿⠀⠀⢸⣿⡟⠀⢰⠀⠀⠀
⠀⠀⢲⠶⠶⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣤⣬⣤⣤⣤⣭⣿⣿⣿⣿⣿⣯⣿⣹⡛⠛⢽⣯⣽⠟⠀⠀⠀⢰⠀⠀⠀⠀⠀⠒⠶⠶⠷⢶⣶⣦⠶⠶⠤⠴⠷⠂⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠹⣿⣾⣆⠀⠀⠀⠀⠀⠀⠀⠀⠒⠛⠓⠒⠀⠰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠈⢿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀
⡿⠇⠠⠄⠀⣀⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⣿⣛⠛⢁⣬⣀⡉⠉⠉⠉⠀⠀⠀⠉⠀⠀⠀⠉⠁⠀⠀⠀⢰⢤⣠⣤⡤⠠⠤⠀⡈⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣦⡀⠀⣀⣘⣿⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⡏⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⢀⢀⣀⡹⠟⠻⠛⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣻⣿⠾⣽⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣭⣭⣬⣭⣵⣿⣿⣿⣿⣿⣧⡛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⣿⡟⣿⠁⠀⠀⠰⡿⠟⠁⠀⣀⡀⡠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣝⠻⣮⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠛⠛⠿⣿⣿⣿⣿⣿⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠈⠃⢤⣄⣀⣉⣱⣬⣀⣀⣀⣄⣀⢴⣄⢀⠀⠀⢀⣀⣀⣀⣀
⣌⠻⢓⠌⢳⡙⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⢀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠲⠶⠾⣿⡛⠛⡥⢾⣿⣿⣿⣯⢳⠅⠾⣵⠭⠛⠛⢿⣿⣿⣿
⠏⠑⠀⠀⢦⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠐⢿⣿⣿⣿⣎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿
⢀⠀⠀⢀⠈⠁⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣀⣀⣀⠀⠀⠀⠈⠉⠙⠛⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠈⣧⠀⠁⠀⢾⠇⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⢰⣖⣀⠐⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠛⠿⠛⠻⠛⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢀⣒⣒⣒⣒⣐⢂⢰⣄⣈⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣀⣙⣀⣀⣀⣀⣁⣀⣀⣀⣀⣀⣀⣀⣀⣠⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢠⣤⣤⣤⣤⠀⠀⢸⡇⢀⡀⢀⣀⠀⣀⠀⣀⡀⣀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢘⣙⡛⠛⠋⠙⠘⠸⡇⡞⣸⠘⣿⡀⢳⡇⢹⣅⠸⣃⠹⣂⠘⣤⠰⣤⠀⣶⠀⣿⠀⣶⠀⣶⠀⣄⠀⣿⣿⣿⣿⣿⣿⣿⡿⠿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣏⡀⠈⣻⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠻⠯⠽⠥⠬⠩⠉⠁⡇⠀⠿⠀⠹⠇⠘⠇⠈⠟⠀⠿⠀⠿⠀⠛⠀⠛⠈⠉⠀⠀⠀⠀⠀⠁⠀⠁⠀⣹⣿⣿⣿⣿⣿⣿⣷⢀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⢻⣿⣳⣦⡙⠛⠛⠛
⠈⠁⠀⠀⠀⠀⠀⠀⠅⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠀⠀⠀⠀⠐⠒⠒⠒⠒⢂⢠⠒⣾⣿⡿⢻⣉⡇⢸⣧⡆⠀⠀⠀⠀⠀⠀⣰⣿⡿⠿⠛⡛⠛⠙⢹⢀⠀⢸⠗⠿⠟⡶⠸⠀⠀
⣦⠀⠀⠀⠀⠀⠀⠀⣾⣶⠤⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣄⠀⠶⠀⠶⠀⣶⣤⣶⣤⡏⣔⣾⠸⣿⠇⠉⠙⠀⣬⣤⣤⠀⠀⢀⢠⡀⠀⠿⠇⠄⠘⠟⣿⣿⣿⡏⠘⠀⣜⣬⣵⣰⣧⡄⠀⠀
⡹⠀⠀⢰⣆⠀⠀⠀⠾⠁⠀⠀⠀⠃⠀⡇⡆⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣻⡇⠙⠹⢻⣾⡈⠀⠀⠀⢸⣿⣿⠀⠀⢠⣠⠀⢒⢀⣾⡟⢸⣶⣿⣟⠛⠃⠀⠈⢸⣿⣷⣿⠃⢀⠀⠀
⣄⠀⠀⠘⠋⠀⠀⠀⣿⣯⠅⠀⠀⠀⠀⠁⠀⢀⣀⣀⣤⣤⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⣀⠀⣀⣿⣿⣿⡗⠀⠀⡀⠻⣿⣦⡀⢀⢸⣿⠁⠀⠀⠀⠟⠁⣺⣯⣟⠀⢸⣿⢷⣿⣿⣿⠀⠀⢸⣿⣿⠏⠀⠐⠀⠀
⠇⠀⠇⠈⠃⠀⠀⠀⠛⠛⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣷⣶⣿⣿⣁⠀⠀⠀⠀⠂⠘⠿⠿⠏⠀⠸⣿⠾⠿⡿⢿⠀⠀⢸⣿⡟⠀⢰⠀⠀⠀
⠀⠀⢲⠶⠶⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣤⣥⣬⣤⣤⣭⣽⣿⣿⣿⣿⣯⣿⣻⣛⠛⢿⣯⣭⠏⠀⠀⠀⢰⠀⠀⠀⠀⠀⠒⠶⠶⠷⢶⣶⣦⠶⠦⠤⠴⠷⠂⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡀⠹⣿⣾⣆⠀⠀⠀⠀⠀⠀⠀⠀⠒⠛⠓⠒⠀⠰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⢿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀
⡿⠇⠠⠄⠀⣀⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⡿⣛⠛⢉⣥⣈⡈⠁⠀⠉⠀⠀⠀⠉⠀⠀⠀⠉⠁⠀⠀⠀⠢⢦⣤⣤⡤⠠⠤⠀⡈⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣦⡀⠀⣀⣐⣻⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⡏⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⢀⢀⣀⡹⠟⠛⠛⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣻⣿⠿⣽⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣭⣬⣩⣵⣿⣿⣿⣿⣿⣷⡛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⣿⡟⣿⠀⠀⠀⠰⡿⠟⠁⠀⣠⣀⡠⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣝⠻⣮⡣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠛⠛⠻⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠘⠃⢤⣄⣀⣉⣱⣼⣄⣀⣀⣀⡤⡠⣄⣠⠀⡀⣀⣀⣀⣀⣀
⣌⠻⠓⠌⢳⡙⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠺⠶⠿⣿⡟⠋⠤⢾⣿⣿⣿⣿⢎⠼⠵⠦⡝⠻⠛⢻⣿⣿⣿
⠏⠑⠀⠀⢦⠘⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠘⢿⣿⣿⣿⣟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠹⣷⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿
⢀⠀⠀⢀⠈⠁⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣄⣀⡀⠀⠀⠀⠈⠉⠙⠛⠷⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣶⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠈⣧⠀⠁⠀⢾⠃⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⢰⣖⢀⠑⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠛⠟⠛⠻⠛⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢀⣒⣒⣒⣒⡐⡂⣰⣄⣈⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣀⣉⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠠⣤⣤⣤⣤⠀⠀⢸⡇⢀⡀⠀⣀⠀⣀⠀⣀⡀⣀⠀⣀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⣾⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠘⣙⡋⠛⠋⠙⠈⠸⡇⠎⣼⠀⣯⡀⢻⣇⢻⣵⠸⣇⠹⣆⠘⣦⠀⣦⢰⣶⠠⣿⠀⣶⠀⣶⠀⣄⠀⢻⣿⣿⣿⣿⣿⣿⣿⠿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣟⣀⠈⣻⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠻⠯⠽⠥⠬⠩⠉⠁⡇⠀⠿⠀⠹⠇⠘⠏⠈⠟⠀⠿⠀⠿⠁⠛⠀⠛⠈⠉⠀⠀⠀⠀⠀⠉⠀⠁⠀⣸⣿⣿⣿⣿⣿⣻⣷⢀⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⢺⣿⣻⣷⡝⠛⠛⠛
⠈⢉⡀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠤⠠⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠄⠀⠀⠐⠐⠒⠒⠒⠒⢂⢠⠒⣾⣿⡿⢻⣁⡇⢸⣧⡇⠀⠀⠀⠀⢀⠀⣰⣿⡿⠾⠛⡛⢛⠙⢹⣀⡀⢸⡟⠿⠿⠲⠘⠀⠀
⣿⣿⠇⠀⠀⠀⠀⠀⣶⣶⠄⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣦⠀⠶⠄⠶⠀⣶⣦⣶⣤⡎⣔⣮⡸⣿⠇⠉⠙⠁⣨⣤⣴⠀⠀⠀⣠⣀⠀⠿⠇⠀⠈⠟⣿⣿⣿⡟⠘⠁⢼⣬⣶⢰⣷⠀⠀⠀
⣿⣿⠀⠀⢰⣆⠀⠀⠾⠃⠀⠀⠀⠋⠀⡇⡆⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣻⡗⠘⠛⢷⣾⡌⠀⠀⠀⢸⣿⣿⢠⠀⠠⢠⡄⢂⢀⣾⡟⢘⣶⣿⣟⣛⠃⠈⠈⢸⣿⣿⣿⠇⠀⠀⠀
⣿⣿⡀⠀⠘⠋⠀⠀⢿⣯⠤⠀⠀⠀⠀⠀⠁⢀⣀⣀⣤⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⣀⠀⣀⣿⣿⣿⡗⠀⠀⡀⠻⣿⣷⡀⢀⢰⣿⠃⠈⠀⠀⠘⡁⣚⣿⣿⠁⢸⣿⣷⣿⣿⣿⠀⠀⢸⣿⣿⡏⠀⢈⠀⠀
⣿⡿⠃⠀⠸⠀⠀⠀⠘⠛⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⡿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣷⣶⣾⣿⣁⡀⠀⠀⠀⠂⠠⠿⠻⠋⠀⠸⣻⠿⠿⡿⣿⠀⠀⠸⣿⡟⠀⢰⠘⠀⠀
⡇⠀⠀⠀⠷⠀⠀⠀⠀⠀⠀⠀⣲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣤⣭⣥⣤⣤⣭⣽⣿⣿⣿⣿⣯⣿⣻⣛⠛⢻⣿⣭⡟⠀⠀⠀⢰⠀⠀⠀⠀⠀⠐⠢⠶⠷⠶⢶⢮⠶⠶⠤⠶⠗⠒⠀⠀⠀⠀⠀
⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠈⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠚⠛⠛⠓⠀⠐⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢀⢰⠂⠀⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⡿⠇⠀⢀⡀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⣿⣛⠛⢁⣤⣀⡈⠉⠉⠉⠉⠉⠈⠈⠁⠀⠀⠉⠀⠀⠀⠀⠠⢤⣤⣦⣴⠠⠠⠄⠀⠀⠀⠘⠓⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣦⠀⢀⣘⣻⣥⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⡏⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⢀⢀⣀⡘⠟⠻⠙⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⠿⣝⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣭⣬⣩⣥⣽⣿⣿⣿⣿⣧⡛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⣿⡟⣿⠁⠀⠀⠐⠿⠟⠁⠀⢆⣤⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣍⠻⣦⡑⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠛⠙⠛⣿⣿⣿⣿⣿⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⠒⢠⣤⣀⣈⣹⣬⣧⣁⣁⣦⡐⢦⣔⣖⢆⣀⣠⣤⣄⣀⣀
⣌⡛⠓⠈⠳⠜⢤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠛⠿⡿⢿⣛⡥⠯⣿⣿⣿⡿⢳⣞⣎⣵⡟⡛⡟⣛⣿⣿⣿
⠋⠁⠀⠀⠦⡑⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠿⣿⣿⣿⣍⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢀⠀⠀⢀⠐⠁⣠⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⣀⡀⠀⠀⠀⠀⠉⠙⠛⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⣧⠀⠀⠀⢼⠏⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣷⣶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⢠⣶⡀⠑⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠛⠟⠛⠻⠛⣻⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢀⣒⣒⣒⣒⣐⠂⣰⣄⣈⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣀⣙⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢠⣤⣤⣤⣤⠀⠀⢸⡇⢀⡀⠀⣀⠀⡀⠀⣀⡀⣀⠀⣀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⣾⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢘⣙⡛⠛⠋⠙⠈⠸⡇⡎⣸⠘⣯⡀⢻⣇⢛⣵⠘⣃⠸⣇⡘⣤⠀⣦⢰⣶⠠⣿⠀⣶⠀⣶⠀⣄⠀⢹⣿⣿⣿⣿⣿⣿⣿⠿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣟⣀⠈⣻⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠻⠯⠽⠥⠭⠩⠉⠁⡇⠀⠿⠁⠹⠇⠘⠏⠀⠿⠀⠿⠀⠿⠁⠛⠀⠛⠈⠉⠀⠀⠀⠀⠀⠉⠀⠁⠀⢸⣿⣿⣿⣿⣿⣻⣷⢀⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⢺⣿⢻⣷⡝⠛⠛⠛
⡈⢉⣀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠄⠀⠀⠀⠀⠒⠒⠒⠒⢂⢠⠒⣾⣿⡿⢻⣇⡇⢸⣧⡆⠀⠀⠀⠀⢀⠀⣰⣿⡿⠻⠙⡛⢛⠙⢻⢀⡀⢸⡟⠿⠟⠲⠘⠀⠀
⣿⣿⡿⠀⠀⠀⠀⠀⢶⣶⠄⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣆⠀⠶⠄⠶⠀⣶⣦⣴⣦⡎⣱⣼⠸⣿⠇⠉⡙⠃⣨⣤⣤⠀⠀⠀⢀⣀⠀⠽⠇⠄⠀⠟⣿⣿⣿⡟⠘⠁⢼⣮⣷⢰⣷⠀⠀⠀
⣿⣿⡇⠀⢠⣶⠀⠀⠺⠁⠀⠀⠀⠋⠀⡇⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣻⡇⠘⠛⢿⣾⡄⠀⠀⠀⢸⢿⣿⢠⠀⠠⢠⠄⢀⢀⣾⡟⢈⣶⣿⣟⣛⠃⠀⠈⢸⣿⣿⣿⠇⠀⠀⠀
⣿⣿⣇⠀⠈⠟⠀⠀⢿⣿⠥⠀⠀⠀⠀⠀⠁⢀⣀⣀⣤⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⣀⠀⣀⣿⣿⣿⡷⠀⠀⡀⠻⣿⣶⡀⢀⢰⣿⠃⢸⠀⠀⠘⠁⣸⣿⣿⠀⢸⣿⣷⣿⣿⣿⠀⠀⢸⣿⣿⡏⠀⠀⠀⠀
⣿⣿⠟⠀⠘⠇⠀⠀⠘⠛⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⠿⢿⣿⢿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣷⣶⣾⣿⣅⡀⠀⠀⠀⠂⠀⠻⠿⠛⠀⠘⣿⠿⠿⡿⣿⠀⠀⠸⣿⡿⠀⢰⠀⠀⠀
⣿⠀⠀⠀⠑⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣤⣬⣤⣤⣤⣭⣭⣿⣿⣿⣿⣯⣿⣻⣛⠛⢻⣿⣭⡟⠀⠀⠀⢐⠀⠀⠀⠀⠀⠐⠢⠶⠷⠶⢶⢦⠶⠶⠤⠴⠖⠒⠀⠀⠀⠀⠀
⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠉⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠚⠛⠛⠓⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠈⢻⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⢰⠂⠀⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀
⢚⣿⡿⢇⠀⢀⣀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⣿⣛⠛⢉⣤⣀⡀⠈⠉⠉⠉⠈⠀⠉⠀⠀⠀⠉⠁⠀⠀⠀⠠⢴⣤⣤⣦⠠⠦⠄⠀⠀⠀⠘⠓⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣧⠀⡆⣘⣻⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡯⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⢀⣀⡘⠿⠛⠟⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⠿⣽⡌⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣭⣭⣬⣩⣵⣿⣿⣿⣿⣿⣷⡛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⣿⡟⣿⠁⠀⠀⠐⠿⠟⠁⠀⣒⣀⠠⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣝⠻⣦⡑⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⠿⠛⠛⠻⣿⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⠓⢠⣤⣀⣈⣩⣦⣶⣀⣤⣔⣶⣤⣶⣶⣀⣆⣤⣤⣤⣄⣀
⣌⠛⠗⠀⠻⡜⢤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠧⡄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠛⠿⣿⣿⢛⡽⠿⣿⣿⣿⡿⣿⣛⡙⣿⣿⣛⣿⣿⣿⣿⣿
⠋⠁⠀⠠⠢⠘⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣎⠀⠀⠀⠀⠀⠻⣿⣿⣿⣍⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠻⣷⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢀⠀⠀⢀⠐⠁⢠⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⣀⣀⡀⠀⠀⠀⠉⠙⠛⠷⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠈⣧⠀⠀⠀⢴⠏⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣷⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⢀⣶⡀⠘⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠛⠿⠛⠻⠛⣻⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢀⣒⣒⣒⣒⣐⣂⣰⣀⣈⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣀⣙⣀⣀⣀⣀⣁⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠠⣤⢤⣤⣤⠀⠀⢸⡇⢀⡀⢀⣀⠀⣀⠀⣀⡀⣀⠈⡈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠘⣙⡛⠛⠋⠙⠈⢸⡇⡞⣱⠐⣿⡀⢻⡇⢻⣃⠸⣇⠹⣂⠰⣤⠠⣤⠀⣶⠀⣷⠀⣶⠀⣦⠀⣀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡀⠈⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠻⠯⠽⠥⠬⠩⠉⠁⡇⠁⡿⠀⠻⠇⠸⠇⠈⠏⠈⠿⠀⠿⠀⠛⠀⠛⠀⠉⠀⠀⠀⠁⠀⠁⠀⠁⠀⣻⣿⣿⣿⣿⣿⣻⣷⢀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠳⣾⣟⣳⣦⡙⠿⠛⠻
⡋⢀⣠⣀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠀⠀⠀⠀⠐⠒⠒⠂⢠⢬⣾⣿⡿⢿⡉⡇⢸⣧⡆⠁⠉⠉⠉⠈⠉⣹⣿⡿⠿⠛⡛⠛⠛⢻⢀⠀⢸⠗⢿⡟⡤⠸⠀⠀
⣿⣿⣿⡇⠀⠀⠀⠀⣶⣶⠄⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣄⠀⠶⠀⠶⠠⣶⣤⣶⣤⡏⣤⣴⠸⣿⠆⢹⠻⠁⣬⣦⣤⠀⠀⠀⢀⡀⠀⠿⠉⠄⠘⠟⣿⣿⣿⡍⠘⠀⣼⣨⣵⣰⣧⠀⠀⠀
⣿⣿⣿⣅⠀⣼⡆⠀⠾⠂⠀⠀⠀⠃⠀⡇⡆⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣻⡇⠙⠿⣷⣿⡀⠀⠀⠀⢸⣿⣿⠀⠀⠠⢠⠄⢀⢀⣶⡏⢨⣶⣿⣟⠻⠃⠀⠈⢸⣿⣷⣿⠃⢀⠀⠀
⣿⣿⣿⡅⠀⠙⠃⠀⣿⣿⠤⠀⠀⠀⠀⠃⠀⢀⣀⣀⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⣀⠀⢀⣿⣿⣿⡧⠀⠀⠈⢿⣿⣦⡀⢀⢰⣿⠃⠀⠀⠀⠟⠁⣾⣟⣫⠀⢸⣿⢷⣿⣿⣿⠀⠀⢸⣿⣿⠏⠀⠀⠀⠀
⣿⣿⠿⠁⠈⠃⠀⠀⠘⠛⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣶⣾⣿⡁⠀⠀⠀⠀⠂⠀⠻⠉⠃⠀⠸⣻⠾⠿⡿⢿⠀⠀⠸⣿⡟⠀⢰⠀⠀⠀
⣿⣗⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⣲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣤⣭⣤⣥⣤⣭⣽⣿⣿⣿⣿⣯⣿⣻⡛⠛⢻⣭⣽⠟⠀⠀⠀⢠⠀⠀⠀⠀⠀⠐⠶⠶⠷⣶⣶⣶⡶⠦⠤⠴⠧⠆⠀⠀⠀⠀⠀
⣻⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡉⠩⣷⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠒⠚⠒⠂⠀⠰⠆⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠘⢿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢤⢴⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀
⢀⢻⣿⣧⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⡿⣛⠛⢉⣤⣀⡈⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠉⠉⠀⠀⠀⠠⢤⣤⣤⡄⠠⠤⡀⠈⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣶⣶⠈⡆⣀⣘⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡏⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⢀⢀⣀⡸⠟⠋⠋⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⠯⣝⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣭⣌⣩⣥⣿⣿⣿⣿⣿⣷⡛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⣿⡟⣿⠁⠀⠀⠀⡿⠟⠁⠀⣆⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣙⠻⣮⡳⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠙⠙⠛⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠐⠂⢠⣄⣀⡉⣻⣬⣃⣦⣄⣺⣶⣤⣠⣤⣀⣀⣀⣀⣀⣀⣀
⣌⠻⠓⠌⢲⡜⣭⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠺⠿⢿⣿⡟⠛⡡⢼⣿⣿⣿⣿⢏⢙⠛⢩⣟⣿⢿⣿⣿⣿⣿
⠏⠑⠀⠀⠢⠙⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠿⢿⣿⣿⣍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣷⣤⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢀⠀⠀⢀⠀⠁⣠⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣀⣀⣀⠀⠀⠀⠈⠉⠙⠛⠧⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣶⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠈⣧⠀⠀⠀⢼⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⢀⣶⡀⠑⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠛⠟⠛⠻⠛⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢀⣒⣒⣒⣒⡐⠂⣰⣀⣈⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣀⣙⣀⣀⣀⣀⣁⣀⣀⣀⣀⣀⣀⣀⣀⣠⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠠⣤⣤⣤⣤⠀⠀⢸⡇⢀⡀⢀⣀⠀⣀⠀⣀⡀⣀⠀⡉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠘⣙⡛⠛⠋⠙⠈⢸⡇⡞⣱⠐⣿⡀⢻⡇⢻⣃⠸⣃⠹⣂⠰⣤⠠⣤⢀⣶⠀⣷⠀⣶⠀⣦⠀⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡀⠈⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠻⠯⠽⠥⠬⠩⠉⠁⡇⠁⡿⠀⠽⠇⠸⠇⠈⠏⠈⠿⠀⠿⠀⠛⠀⠛⠀⠉⠀⠀⠀⠁⠀⠁⠀⠁⠀⣻⣿⣿⣿⣿⣿⣻⣷⢀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠳⢾⣟⣳⣦⡙⠿⠛⠻
⡋⢁⣠⣀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠀⠀⠀⠀⠐⠒⠒⢂⢠⢬⣾⣿⡿⢿⡉⡇⢸⣧⡆⠁⠉⠉⠉⠉⠉⣹⣿⡿⠿⠛⡛⠛⠛⢻⢀⠀⢸⡗⢿⠟⡤⠸⠀⠀
⣿⣿⣿⡏⠀⠀⠀⠀⣶⡶⠄⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣄⠀⢶⠀⠶⠠⣶⣤⣶⣄⡏⣤⣴⠹⣿⠆⢙⡻⠁⣼⣦⣤⠀⠀⠀⢀⡀⠀⠿⠋⠄⠐⠟⣿⣿⣿⡍⠘⠀⣼⣨⣵⣰⣧⠀⠀⠀
⣿⣿⣿⡅⠀⣴⡆⠀⠾⠀⠀⠀⠀⠃⠀⡇⡆⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣻⡇⠙⠻⣷⣿⡀⠀⠀⠀⢸⣿⣿⠀⠀⠠⢠⢄⢀⠀⣶⡏⢰⣶⣿⣟⠻⠃⠀⠈⢸⣿⣷⣿⠃⠀⠀⠀
⣿⣿⣿⡅⠀⠙⠃⠀⣿⣿⠤⠀⠀⠀⠀⠃⠁⢀⣀⣀⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⣀⠀⢀⣿⣿⣿⡗⠀⠀⠈⢿⣿⣦⡀⢀⢰⣿⠃⠀⠀⠀⠟⠁⣺⣿⣻⠀⢸⣿⣷⣿⣿⣿⠀⠀⢸⣿⣿⠏⠀⠈⠀⠀
⣿⣿⡿⠁⠈⠃⠀⠀⠘⠋⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣶⣾⣿⣁⠀⠀⠀⠀⠂⠐⠻⠻⠇⠀⠸⣻⠾⠿⡿⢿⠀⠀⢸⣿⡟⠀⢰⠀⠀⠀
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣤⣥⣤⣥⣤⣭⣽⣿⣿⣿⣿⣯⣿⣻⡛⠛⢫⣯⣽⠟⠀⠀⠀⢠⠀⠀⠀⠀⠀⠐⠶⠶⠷⣶⣶⣶⡶⠦⠤⠴⠧⠂⠀⠀⠀⠀⠀
⣻⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡉⠩⣷⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠒⠚⠒⠒⠀⠰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠈⢿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢤⢴⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀
⢀⠻⣿⣧⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⡿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⣿⣛⠛⢋⣥⣀⡀⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠉⠉⠀⠀⠀⠠⢠⣤⣤⡤⠠⠤⠀⠈⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣶⣶⠊⡆⣀⣘⣭⣽⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡏⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⢀⢀⣀⡹⠿⠏⠋⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢿⣿⠯⣽⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣭⣬⣩⣥⣿⣿⣿⣿⣿⣧⡛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⢿⡟⣿⠀⠀⠀⠐⡿⠟⠁⠀⣤⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣙⠻⣮⡳⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠉⠙⠛⣿⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠐⠃⢠⣄⣀⣉⣻⣄⣅⣠⣠⣶⣐⣄⣄⢠⠀⣀⡠⣀⣀⣀⣀
⣌⠻⠓⠌⢳⡜⣭⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⢀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠺⠿⢿⣿⡟⡛⠡⢼⣿⣿⣿⣿⡏⡊⡻⣫⡛⣛⡿⣿⣿⣿⣿
⠏⠁⠀⠀⠢⠙⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡅⠀⠀⠀⠀⠀⠿⣿⣿⣿⣊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⣷⣤⣴⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢀⠀⠀⢀⠀⠁⣠⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣀⣀⣀⠀⠀⠀⠈⠉⠙⠛⠧⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠈⣧⠀⠀⠀⢼⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⢀⣶⡀⠙⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠛⠟⠛⠻⠛⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢀⣒⣒⣒⣒⡐⢂⣠⣀⣉⣀⣀⣀⣀⣀⣀⣀⣀⣀⣁⣀⣓⣀⡀⢀⡈⡁⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠠⣤⣤⣤⡤⠀⠀⢸⠀⣀⠀⢀⡀⢀⡉⢈⣉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠈⡇⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠘⣙⡛⠓⠋⠙⠈⢸⠐⢱⡇⢘⣵⠘⣿⡈⢻⡆⢻⡀⢷⡀⢤⣄⢠⡄⣦⡆⢴⣆⠰⡆⢰⡆⢀⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠫⠯⠽⠥⠬⠩⠉⢹⠀⢸⡟⠀⠿⠀⠻⠇⠸⠇⢸⡇⠨⠏⠘⠛⠐⠋⠈⠁⠀⠁⠀⠁⠈⠁⠘⠁⠀⣿⣿⣿⣿⣿⣿⣿⣥⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠮⣿⡿⣵⣌⠿⠿⠿⠿
⣏⢁⣠⣴⡆⠀⠀⠈⠀⠀⠀⠀⠀⠀⢸⡀⢀⣀⠀⢀⠀⠀⠠⠠⠠⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠀⠀⠀⠀⠀⢀⡄⢬⣿⣿⠿⣿⢹⠉⣿⣷⠉⠉⠉⠉⠉⠉⠉⣽⣿⡯⡟⠟⠿⠟⠿⣇⢀⠀⢻⢧⣿⡯⡄⠄⠀⠀
⣿⣿⣿⣿⠁⠀⠀⢰⣶⠦⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡄⠰⣦⠰⡦⢠⣦⣠⣦⣀⠗⣥⡆⢿⣿⠀⠘⠛⢀⣟⣛⡄⠀⠀⠀⠀⠁⢨⣿⠁⠀⠰⢾⣶⣷⣽⡇⠛⠀⣎⣲⡄⣴⡄⠀⠀⠀
⣿⣿⣿⣿⠃⠀⣿⠿⠗⠀⠀⠀⠘⠃⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⢿⣿⣟⣻⡂⠻⢿⢦⣇⠀⠀⠀⠀⣿⣿⡇⡄⠀⠀⣤⠤⠀⢠⣶⠂⢰⣼⡿⡿⠿⠁⠀⠀⣿⣿⣷⣿⠁⠀⠀⠀
⣻⣿⣿⣿⠀⡀⠋⠰⣿⡧⠄⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣤⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⡀⠀⣸⠿⣿⣿⡆⠀⠀⠘⣿⣷⣄⠀⡀⢰⡿⠁⡇⠀⠀⠟⢀⣷⣷⡋⠀⣾⣿⣽⣿⣿⡷⠀⠀⣿⣿⣿⠃⠀⠀⠀⠀
⢿⣿⡿⡿⠀⠃⠀⠀⠛⠃⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣷⣶⣿⣯⣵⣿⣏⠁⠀⠃⠀⠀⠀⠸⠻⠇⠁⠀⣿⣷⣿⡿⠯⡇⠀⠀⣿⣿⡏⠀⡄⠀⠀⢘
⢸⣿⡆⢐⡀⣀⡀⠀⠀⠀⠀⢐⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣤⣤⣉⣬⣴⣬⣿⣿⣿⣿⣿⣿⣿⣟⣻⠿⠛⣯⣭⣻⠏⠉⠀⠀⠄⠀⠀⠀⠀⠀⠴⠤⣾⣤⣤⣤⣪⣥⣤⡠⠬⠭⠄⠀⠁⠀⠀⠐
⢸⣿⣿⠾⠿⢿⣷⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣏⠉⢹⣶⣶⡀⠀⠀⠀⠀⠀⠀⠀⠠⠖⠲⠖⠀⠀⠠⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣧⠀⠀⢸⣿⡆⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠹⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠄⡤⠀⠀⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢸⣷⠀⠀⠈⠛⠁⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⡿⣛⠛⢉⣤⣀⡉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠈⠋⠁⠀⠀⠀⢀⣤⣀⣄⡄⡠⣀⠀⠁⠀⠀⠶⠄⠀⠀⠀⠀⠀⠀⠀⠀
⣷⣤⣿⡇⣴⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⡏⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⢀⠀⠿⠻⠛⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⡿⢭⡃⠳⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣩⣭⣌⣭⣵⣿⣿⣿⣿⣿⣦⠛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⣿⡟⣿⠀⠀⠀⢱⡿⠟⠁⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣯⡙⢷⣍⢺⣆⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠁⠛⢻⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠐⠄⢀⡀⠈⠙⣢⢄⠀⠀⠀⠠⠄⠀⣀⠀⠀⠀⠀⠀⡀⠀⠀
⡙⠫⠂⡑⢤⠫⣥⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⡀⠀⠀⠀⠀⠘⣻⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠲⠶⢿⣿⠛⠋⢰⣷⣿⣿⣷⠧⠐⠳⠄⡕⠛⠓⠟⠿⢿⣿⣿
⠉⠀⠀⠀⠄⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⠀⠰⣿⣿⣿⣯⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⢰⣤⣤⣤⣼⣿⣿⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿
⡀⠀⠀⡀⠊⠀⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣤⣀⡀⠀⠀⠀⠀⠈⠙⠛⠿⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢸⡄⠀⠀⠠⡾⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⣤⣤⣤⣴⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⣠⣆⡈⠂⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠋⠞⠛⠻⠓⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢀⣒⣒⣒⣒⡐⣂⣠⣀⣉⣀⣀⣀⣀⣀⣀⣀⣀⣀⣁⣈⣛⣀⡀⢀⡈⡁⡀⠀⠀⠀⢀⠀⠀⠀⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢠⣤⣤⣤⡤⠀⠀⢸⠀⡀⠀⢀⡀⢀⢉⢉⣁⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠚⣙⡛⠓⠋⠙⠈⢸⠐⢱⡇⢘⣵⠘⣟⡈⢻⡆⢻⡀⢷⣀⢢⣄⢠⡄⣰⡆⢴⣆⠰⡆⢰⡆⢀⡀⠀⣿⣿⣿⣿⣿⣿⣿⡿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠙⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠻⠯⠽⠥⠬⠩⠉⢹⠀⢸⡟⠀⠿⠀⠻⠃⠸⠇⢸⡇⠨⠏⠘⠛⠀⠛⠈⠁⠀⠁⠀⠁⠈⠁⠘⠁⠀⣿⣿⣿⣿⣿⣿⣿⡤⡀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠷⣿⡟⣷⣌⠻⠿⠿⠿
⣿⡋⣀⣴⣷⠀⠀⠈⠀⠀⠀⠀⠀⠀⢸⣀⢀⡀⠀⠀⠀⠀⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠀⠀⠀⠀⠒⠒⠂⡄⢬⣿⣿⠿⣿⢹⠁⣿⣷⠁⠉⠉⠉⠉⠉⠉⣹⣿⡿⡟⠛⠛⠟⠛⣇⢀⠀⣻⢳⣿⠏⡄⠄⠀⠀
⣿⣿⣿⣿⡟⠀⠀⢀⣶⠦⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡄⠰⣦⠰⠦⢠⣶⣠⣦⣄⠇⣥⡄⢿⣿⠐⠙⠛⢀⣷⣒⡄⠀⠀⠀⣀⠀⢈⠿⠁⠀⠸⢿⣷⣷⣿⡇⠛⠀⣇⣢⡄⣴⡤⠀⠀⠀
⣿⣿⣿⣿⡷⠀⢸⡿⠿⠀⠀⠀⠘⠃⠨⢱⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⢻⣿⣟⣻⠃⠻⢻⣶⣇⠀⠀⠀⠀⣿⣿⡇⡄⠀⠀⡤⠀⠀⢰⣶⠎⢸⣾⡿⡞⠿⠁⠀⠀⣿⣿⣷⣿⠁⠀⠀⠀
⠘⣻⣿⣿⡇⢀⠈⠉⣿⡯⠤⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⣀⠀⡸⠿⣿⣿⡇⠀⠀⠘⢿⣷⣄⠀⡀⢴⡿⠁⡇⠀⠀⠟⠠⣱⡣⡇⠀⣿⣿⣽⣿⣿⡗⠀⠀⣿⣿⣿⠃⠀⠀⠀⠀
⠻⣿⣿⢿⠇⠈⠀⠀⠛⠃⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣷⣿⣯⣶⣿⣏⠁⠀⠃⠀⠀⠀⠘⠿⠓⠁⠀⢿⣿⢿⣿⠯⡇⠀⠀⣿⣿⠏⠀⡄⠀⠀⠰
⠀⣻⣷⠐⣆⣴⣦⠀⠀⠀⠀⢐⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣤⣅⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣟⣛⠛⠛⣯⣥⣹⠇⠁⠀⠀⡄⠀⠀⠀⠀⠀⠶⠤⣾⣦⣴⣤⣢⣤⡤⠠⠬⠬⠄⠀⠀⠀⠀⠀
⠀⣿⣿⡿⠿⢿⣿⡇⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣮⠉⢹⣶⣶⡀⠀⠀⠀⠀⠀⠀⠀⠠⠒⠒⠒⠂⠀⠠⠂⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀
⣧⣿⣿⡀⠀⠀⣿⣿⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠹⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⡤⠀⠀⠴⠄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢸⣷⡉⠀⢀⠙⠛⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⡿⣛⠛⢀⣤⣀⡁⠉⠉⠉⠁⠈⠈⠁⠀⠀⠈⠉⠁⠀⠀⠀⢠⣤⣤⣠⡄⠤⣄⠀⠁⠀⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀
⣷⣤⣿⡇⢀⣀⣀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⡇⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⢀⡀⠮⠛⠛⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⡿⢭⡣⠸⣿⡇⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣍⣩⡌⣩⣵⣿⣿⣿⣿⣿⣇⠛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⣿⡟⣿⠀⠀⠀⢸⡿⠛⠁⠐⡀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣯⡛⢷⣍⢒⣿⣿⣦⡄⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠻⠋⠁⠛⢻⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⠀⣀⡀⠈⠙⣣⣤⠀⡀⣀⡀⠀⠀⡀⠀⠀⠀⠀⣀⣀⣀⠀
⡙⠻⠢⡑⠢⢣⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠶⠿⡟⠛⠋⣸⣿⣾⣷⣟⣻⡀⠑⠁⡿⠛⠛⠛⠿⣿⣿⣿
⠉⠀⠀⠐⠌⠓⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠰⢿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣰⣤⣤⣤⣼⣿⣷⣿⣾⣿⣷⣷⣿⣿⣿⣿⣿⣿
⡀⠀⠀⡀⠊⠀⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣄⣀⡀⠀⠀⠀⠀⠈⠙⠛⠿⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣾⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢹⡄⠀⠀⠠⣾⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⡠⣆⡀⠂⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠋⠞⠛⠻⢓⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢀⣒⣒⣒⣒⡐⡂⢠⣀⣉⣀⣀⣀⣀⣀⣀⣀⣀⣀⣁⣈⣃⣀⣀⣀⣈⣁⣀⣀⣀⣀⣀⣀⠀⣀⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠠⣤⣤⣤⡤⠀⠀⢸⠀⡀⠀⢀⡀⢀⠀⢀⣀⠈⠉⢉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠘⣙⡛⠓⠋⠙⠈⢸⠸⢸⡃⢘⣵⠘⣟⡈⢻⡆⢻⡀⢳⣀⢦⣄⢠⡄⣶⡆⢶⣆⠰⡆⢰⡆⢀⡀⠀⣿⣿⣿⣿⣿⣿⣿⡿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠙⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠻⠯⠽⠥⠬⠩⠉⢹⠀⢸⠟⠀⠿⠀⠻⠇⠸⠇⢸⠇⠨⠏⠘⠛⠀⠋⠈⠁⠀⠁⠀⠁⠈⠁⠈⠁⠀⣿⣿⣿⣿⣿⣟⣿⡦⡀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠷⣿⡟⣷⣬⠻⠿⠻⠿
⣿⣎⢀⣴⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⢀⣀⠀⠀⠀⠀⠠⠠⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠄⠀⠀⠀⠀⠒⠒⢠⡄⢮⣿⣿⠽⣿⢹⠀⣿⣷⠁⠉⠉⠉⠉⠉⠉⣽⣿⠿⡟⠛⠛⠛⠛⣇⣀⠀⢻⢳⣿⠟⡄⠆⠀⠀
⣿⣿⣿⣿⡿⠃⠀⠀⣶⡦⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⡄⠰⣦⠰⠦⢰⣶⣠⣦⣄⠇⣥⣆⢿⣿⠀⠙⠛⢀⣷⣖⡄⠀⠀⠀⣀⠠⠨⠿⠡⠀⠸⢿⣷⣷⣽⡇⠛⠀⣇⣧⡆⣼⡤⠀⠀⠀
⢿⣿⣿⣿⣿⡆⠀⣿⠿⠀⠀⠀⠘⠃⠈⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣟⣿⡇⠻⢻⣦⣷⡉⠀⠀⠀⢿⣿⡇⡄⠀⠀⣤⠀⠂⠠⡶⠎⢺⣾⡿⡞⠿⠁⠀⠈⣿⣿⣷⡿⠁⠀⠀⠀
⠀⢻⣿⣿⡇⠀⡈⠉⣿⡧⠤⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⣀⠀⣸⠿⣿⣿⡆⠀⠀⠘⣿⣷⣄⠀⣀⢰⡿⠁⡇⠀⠀⠟⠀⣵⣿⡀⠀⣿⣿⣽⣿⣿⡟⠀⠀⣿⣿⣿⠃⠀⠀⠀⢀
⠻⢿⣿⣿⡯⠀⠁⠀⠛⠃⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣶⣿⣏⡁⠀⠃⠀⠐⠀⠘⠿⠿⠃⠀⠿⣿⠿⠿⠯⡇⠀⠀⣿⣿⠏⠀⡄⠀⠀⢠
⠀⢸⣿⡘⢲⣴⣶⡀⠀⠀⠀⢐⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣤⣤⣤⣤⣤⣽⣿⣿⣿⣿⣿⣿⣟⣿⠛⠛⣯⣥⣹⠇⠀⠀⠀⡄⠀⠀⠀⠀⠀⠶⠤⠾⣶⣶⣶⣦⡤⠤⠤⠴⠤⠄⠀⠀⠀⠀⠀
⠀⢸⣿⣿⠿⠿⣿⣿⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣮⠉⢹⣷⣶⡀⠀⠀⠀⠀⠀⠀⠀⠠⠒⠒⠒⠂⠀⠰⠂⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀
⣧⣸⣿⣅⠀⠀⢹⣿⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠹⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⡤⠀⠀⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠘⣿⡝⠀⢀⡘⠛⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⡿⣛⠛⢁⣬⣀⡀⠈⠉⠁⠈⠉⠀⠁⠀⠀⠈⠉⠁⠀⠀⠐⢠⣄⣤⣀⡄⠤⣄⠀⠁⠀⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀
⣷⣤⣿⡇⢀⣂⣠⣄⠁⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⡇⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⢀⣀⠺⠻⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⡿⢭⡣⠸⣿⣿⣿⣦⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣭⣭⣬⣩⣵⣿⣿⣿⣿⣿⣧⠛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⢿⡟⣿⠁⠀⠀⢰⡿⠟⠁⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣯⡛⢷⣍⠲⣿⣿⣿⣯⣷⣽⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠛⠓⠛⢻⣿⣿⣿⣿⣿⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠐⠀⣠⡀⠀⠙⣢⣔⣀⠀⣀⣠⢀⡠⠀⡀⠀⡀⣀⣀⣀⡀⠀
⡙⠫⠂⡑⠢⠣⣭⣴⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⣇⡀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠲⢿⢟⠟⢛⢵⣿⣿⣿⣷⣮⠓⠓⠓⠃⢟⠛⠛⢿⣿⣿⣿
⠈⠀⠀⠐⠄⠓⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡂⠀⠀⠀⠀⠸⢿⣿⣿⣿⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣴⣤⣤⣴⣿⣯⣿⣿⣷⣷⣿⣶⣾⣿⣿⣿⣿
⡀⠀⠀⠀⠊⠀⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣄⣀⣀⠀⠀⠀⠀⠉⠙⠛⠻⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⣴⣶⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢸⡄⠀⠀⠠⡾⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣤⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⣠⣆⡀⠂⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠻⠛⠟⠛⠻⠃⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢀⣒⣒⡒⣒⡐⣂⣠⣀⣉⣀⣀⣀⣀⣀⣀⣀⣀⣀⣁⣈⣃⣀⣀⣀⣈⣁⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠀⣤⢤⣤⡤⠀⠀⢸⠀⡀⠀⢀⡀⢀⡀⢉⣀⠉⠉⢉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠘⣙⡛⠛⠋⠙⠈⢸⠘⢰⡃⢘⣵⠘⣟⡈⢻⡆⢻⡀⢳⣀⢦⣄⢠⡄⣶⡦⢶⣆⠰⡆⢰⡆⢀⡀⠀⣿⣿⣿⣿⣿⣿⣿⡿⠿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠙⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠻⠭⠽⠥⠬⠩⠉⢹⠀⢸⠟⠀⠿⠀⠻⠃⠸⠇⢸⠇⠨⠏⠘⠛⠀⠋⠈⠁⠀⠁⠀⠁⠈⠁⠈⠁⠀⣿⣿⣿⣿⣿⣟⣿⡦⡀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠗⣿⡟⣵⣮⠛⠟⠛⠻
⣿⣿⠁⣠⣾⣆⠀⠀⠀⠀⠀⠀⠀⠀⢸⣀⢀⣀⡀⠀⠀⠀⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠀⠀⠀⠐⠒⠒⠒⢂⡄⢮⣿⣿⠿⣿⢹⠀⣿⣴⠀⠉⠉⠉⠉⠉⠉⣿⣿⠿⡟⢛⠛⡛⠛⣇⣀⠀⣻⠓⣿⠗⡆⠆⠀⠀
⣿⣿⣿⣿⣿⠟⠀⠀⢲⠦⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⣦⡄⠐⠦⠰⠦⢰⣶⣠⣶⣤⢇⣥⡆⢿⣿⠀⠙⠟⢀⣧⣦⡄⠀⠀⠀⢀⡠⠨⠿⠡⠀⠘⢿⣿⣿⣿⡇⠙⠀⣇⣭⡆⣼⡆⠀⠀⠀
⣿⣿⣿⣿⣿⡇⠀⣾⡿⠀⠀⠀⠘⠃⠈⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣟⣿⠇⠻⢻⣦⣷⡀⠀⠀⠀⢿⣿⡇⡄⠀⠀⣤⠀⠂⢰⣶⠏⢺⣾⡿⡚⠟⠁⠀⠉⣿⣿⣿⡿⠁⠀⠀⠀
⠃⠻⣿⣿⣿⠋⣀⠋⢻⡧⠤⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⣀⠀⣸⡿⣿⣿⠆⠀⠀⠘⢿⣿⣄⡀⣀⢰⡿⠁⡇⠀⠀⠏⢐⣿⢻⡂⠀⣿⣿⣽⣿⣿⡟⠀⠀⣿⣿⣿⠃⠀⠀⠀⢀
⠻⠿⣿⣿⡿⠀⠉⠀⠘⠃⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣷⣶⣿⣏⡁⠀⠃⠀⠐⠀⠚⠻⠛⠃⠀⠿⡿⠿⠿⠯⡇⠀⠀⣿⣿⠏⠀⡄⠀⠀⢸
⠀⠘⣿⡇⢲⣤⣦⣄⠀⠀⠀⢐⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣤⣤⣤⣤⣤⣯⣿⣿⣿⣿⣿⣿⣟⣟⠛⠛⣯⣭⣸⠇⠀⠀⠀⡀⠀⠀⠀⠀⠀⠒⠦⠾⢶⣶⣶⡶⡶⠤⠤⠴⠴⠀⠀⠀⠀⠀⠀
⠀⠀⣿⣿⡿⠿⣿⣿⡆⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣮⠉⢹⣷⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠒⠂⠀⠰⠂⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀
⣧⡀⣿⣯⠀⠀⢸⣿⣇⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠹⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⡤⡦⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⣟⠁⢀⡀⠻⠇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⡿⣛⠛⢁⣭⣀⡀⠉⠉⠉⠈⠉⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠠⣤⣤⣤⡄⠤⠤⠀⠁⠀⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀
⣷⣄⣼⣷⠀⣐⣠⣤⡌⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⡏⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⢀⣀⠻⠙⠋⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⡿⢭⡫⠸⣿⣿⣿⣿⣦⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣯⣭⡬⣩⣵⣿⣿⣿⣿⣿⣄⠛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⣿⡟⣿⠁⠀⠀⠰⡿⠛⠁⠐⣂⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣯⡛⢷⣍⠲⣿⣿⣿⣿⣿⣷⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠉⠁⠉⠻⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⠂⢤⣄⡀⠙⣥⣴⣃⣀⣀⣀⡄⠠⡄⠀⡀⡀⣀⣀⣀⣀⡀
⡙⠫⠂⡑⠧⠣⣭⣴⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣣⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠲⠶⢾⣿⠛⢃⠤⢿⣿⣿⣷⣭⢒⢁⠠⣸⢛⣿⣛⣿⣿⣿⣿
⠉⠀⠀⠐⠌⠓⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠸⢿⣿⣿⣯⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣶⣦⣤⣶⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡀⠀⠀⡀⠊⠀⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣄⣀⣀⠀⠀⠀⠀⠉⠉⠛⠻⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢸⡄⠀⠀⠠⡾⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⣠⣆⡀⠂⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠻⠋⠿⠛⠻⢃⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢀⣒⣒⡒⣒⡐⢂⣰⣀⣈⣀⣀⣀⣀⣀⣀⣀⣀⣀⣉⣀⣛⣀⣀⣀⣈⣁⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢠⣤⢤⣤⣤⠀⠀⢸⠀⠀⡀⢀⡀⢀⣀⢀⣀⠀⠀⠀⡀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢯⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠘⣙⡛⠛⠋⠙⠘⢸⠀⡼⣱⠸⣿⡀⢟⡆⢿⣃⢸⡂⢹⣀⠠⣤⢰⣤⠁⣶⠐⣷⠐⣶⠰⡆⢀⡀⠀⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣯⡀⠈⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠻⠯⠽⠥⠬⠩⠉⢹⠀⠁⡿⠀⠿⠅⠸⠇⠸⠏⠘⠿⠀⠿⠀⠛⠀⠛⠀⠉⠀⠀⠀⠁⠀⠁⠀⠁⠀⣿⣿⣿⣿⣿⣿⣿⣷⢀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⣿⡟⣷⣦⡙⠛⠛⠛
⢿⣿⣽⢂⣤⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⡄⣀⣀⠀⠀⠀⠀⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠄⠀⠀⠀⠐⠒⠒⠒⢢⠠⢪⣾⣿⡟⢿⣹⠀⢸⣧⡆⠁⠀⠀⠀⠀⠀⣸⣿⠿⠟⢛⡛⡛⠛⢡⢠⠀⢸⠳⠿⠟⡆⠘⠀⠀
⣴⣿⣿⣾⣿⣿⡿⠀⠀⢒⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⡄⠀⠶⠀⠶⠠⣶⣤⣶⣄⡇⣔⣴⢹⣿⠂⠉⠛⠀⣮⣤⣤⠀⠀⢀⢀⡀⠀⠿⠁⠀⠘⠟⣿⣿⣿⡄⠘⠀⢞⣭⡶⣴⡷⡀⠀⠀
⣿⣿⣿⣿⣿⣿⡅⠀⣾⡿⠀⠀⠀⠃⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣟⣻⡇⠙⠻⣶⣿⡈⠀⠀⠀⢸⣿⡿⠄⠀⠀⣤⡀⠀⢠⣿⠏⢸⣾⡿⣞⡛⠃⠀⠈⢸⣿⣷⣿⠃⠁⠀⠀
⡙⠋⠻⣿⣿⣿⠃⡀⠛⡷⠤⠀⠀⠀⠀⠃⠀⢀⣀⣀⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⣀⠀⣘⣿⣿⣿⡇⠀⠀⠈⠻⣿⣦⡀⢀⢰⡿⠁⠀⠀⠀⠟⠡⣾⣿⣯⠀⢸⣿⢷⣿⣿⣿⠀⠀⢸⣿⣿⠇⠀⠀⠀⠀
⠻⠿⠗⣿⣿⡿⠀⠃⠀⠉⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⠿⠿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣁⠀⠀⠀⠀⠀⠘⠿⠟⠋⠀⠹⡿⠻⠿⡫⣿⠀⠀⢸⣿⡟⠀⡄⠀⠀⠀
⠀⠐⢶⣿⡟⣷⣴⣶⡀⠀⠀⠐⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣤⣬⣤⣤⣤⣮⣿⣿⣿⣿⣿⣿⣿⣿⡛⠛⢿⣭⣼⠗⠀⠀⠀⢠⠀⠀⠀⠀⠀⠒⠦⠾⠷⢶⣶⡦⠶⠶⠤⠴⠖⠂⠀⠀⠀⠀⠀
⠀⠀⠀⣿⣿⣿⣿⣿⣿⡤⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠁⠹⣷⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠓⠂⠀⠰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣷⡀⠀⣿⡗⠀⠀⠻⣿⡇⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠈⢿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠤⣿⡏⠀⡀⠀⠻⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⡿⣛⠛⢉⣤⣀⡀⠀⠉⠁⠀⠁⠁⠁⠀⠀⠀⠉⠁⠀⠀⠀⢀⢤⣤⣤⡄⠠⠤⠀⠀⠀⠀⠚⠃⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣤⣀⣿⠂⢀⣃⣥⣴⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⡏⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⢀⢀⣀⠹⠛⠙⠉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⢯⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣭⣭⣬⣭⣷⣽⣿⣿⣿⣿⣧⠛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⢿⡟⣿⠀⠀⠀⠰⡿⠟⠁⠐⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⡙⢷⣌⠣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠙⠙⢻⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠘⠂⢠⣄⣀⡉⣩⣤⣊⣠⡤⣀⣤⣀⡀⠀⣀⠀⣀⣠⣤⣀⣀
⣍⠻⠓⠉⠗⡹⣭⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠾⢿⣿⠛⠋⠤⢾⣿⣿⣧⢖⢇⠃⠃⠗⡙⠛⣛⣻⣿⣿⣿
⠏⠁⠀⠈⢄⠓⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠐⢿⣿⣿⣟⣗⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣶⣶⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⢀⠊⠀⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣀⣀⡀⠀⠀⠀⠈⠉⠛⠛⠷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⣾⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠘⣦⠀⠀⠀⣾⠅⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⢠⣆⡀⠂⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠻⠛⠟⠛⠻⠛⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢀⣒⣒⡒⣒⡐⠂⢰⣄⣈⣁⣀⣀⣀⣀⣀⣀⣀⣀⣉⣀⣛⣀⣀⣀⣀⣁⣀⣀⣀⣀⣀⣀⣀⣀⣠⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠠⣤⢤⣤⣤⠀⠀⢸⡇⢀⡀⢀⣀⠀⣀⠉⣈⡉⠉⠉⡉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠘⣙⡛⠛⠋⠙⠈⠸⡇⡜⣸⠘⣯⡀⢻⣇⢛⣣⠸⣃⠹⣆⠨⣤⠈⣤⢠⣶⠀⣷⠀⣶⠀⣶⠀⣀⠀⣻⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣟⡀⠈⣻⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠻⠯⠽⠥⠬⠩⠉⠁⡇⠀⣿⠀⠹⠇⠸⠏⠀⠿⠀⡿⠀⠿⠀⠛⠀⠛⠈⠉⠀⠀⠀⠈⠀⠉⠀⠁⠀⢹⣿⣿⣿⣿⣿⣻⣷⢀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⢺⣿⣻⣶⡝⠛⠛⠛
⠘⢿⣿⣻⡇⣠⣴⡄⠀⠀⠀⠀⠀⠀⠀⣇⣀⣀⣀⡀⣀⠀⠠⠠⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠀⠀⠀⠐⠒⠒⠒⠂⢠⠐⣾⣿⡯⢻⣁⡇⢸⣷⡆⠀⠀⠀⠀⢀⠀⣰⣿⡿⠻⠛⡛⢛⠙⢹⢀⡀⢸⠟⠟⠿⠲⠸⠀⠀
⠀⣶⣿⣿⣼⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣄⠀⠶⠄⠶⠀⣶⣄⣴⣤⡎⣤⣦⠸⣿⡇⠈⠻⠁⣨⣤⣤⠀⠀⠀⢀⡀⠀⠿⠏⠀⠈⠟⣿⣿⣧⡟⠘⠁⢼⣨⣴⢰⣷⠀⠀⠀
⠀⣿⣿⣿⣿⣿⣿⡇⠀⣶⡿⠀⠀⠓⠀⡇⡄⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣻⡷⠘⠟⣷⣾⣔⠀⠀⠀⢸⣿⣿⢀⠀⠀⢠⠀⢀⢀⣾⡟⢀⣷⣿⣟⡛⠃⠀⠈⢸⣿⣿⣿⠇⠀⠀⠀
⣈⠙⠋⠻⣿⣿⣿⢁⡀⠛⠧⠀⠀⠀⠀⠁⠁⢀⣀⣀⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⣀⠀⢀⣿⢿⣿⡟⠀⠀⠀⠻⣿⣦⣀⢀⣰⣿⠃⠀⠀⠀⠔⠁⢘⣾⣇⠀⢸⣿⣧⣿⣿⣿⠀⠀⢸⣿⣿⡏⠀⠀⠀⠀
⠟⠿⠷⠀⣻⣿⡇⠐⠃⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⠿⡿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣶⣾⣿⣁⠀⠀⠀⠀⠀⠐⠋⠿⠛⠀⠸⣿⠿⠿⠿⣿⠀⠀⠸⣿⡿⠀⢰⠀⠀⠀
⠀⠀⢲⣶⣾⡿⣧⣠⣶⡀⠀⠀⣲⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣥⣤⣤⣥⣥⣤⣽⣭⣿⣿⣿⣿⣯⣿⣹⡟⠛⢻⣭⣭⡟⠀⠀⠀⢠⠀⠀⠀⠀⠀⠐⠢⠴⠷⢶⣶⣦⠶⠶⠤⠴⠶⠂⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣧⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡅⠉⣷⣶⣆⠀⠀⠀⠀⠀⠀⠀⠀⠚⠛⠓⠒⠀⠐⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣷⣄⠀⠀⣿⡗⠀⠙⢿⣿⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠈⢿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢰⠀⠀⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠠⢤⣿⠃⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⡿⣛⠛⢁⣤⣀⡀⠈⠉⠀⠈⠉⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⣠⣄⣤⣄⠠⠤⠄⠀⠀⠀⠘⠓⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣦⡀⢸⡿⠀⣀⣢⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⡟⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⠀⣀⡸⠏⠋⠋⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢿⣿⠯⣝⠇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣭⣬⣍⣥⣿⣿⣿⣿⣿⣧⡛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⢿⡟⣿⠁⠀⠀⠀⣾⠟⠉⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣝⠷⣮⡓⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠋⠙⠻⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⠁⢠⣤⣀⣉⢙⢤⡨⢂⡄⠠⠄⠀⢄⠀⢀⡀⢀⣀⣄⣀⣀
⣌⠻⡑⠌⠳⡜⣭⣥⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠾⣿⠛⠛⡠⠬⣿⣿⣿⠦⠄⠐⠀⠸⡘⠋⢋⣻⣿⣿⣿
⠏⠁⠀⠀⠦⠘⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢿⣿⣿⣿⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣶⣶⣴⣴⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿
⢀⠀⠀⢀⠐⠁⢠⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣀⣀⡀⠀⠀⠀⠀⠉⠛⠛⠷⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠈⢧⠀⠀⠀⢰⠏⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⢀⣴⠀⠐⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠟⠟⠛⠻⠛⢻⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠀⣒⣒⡒⣒⡐⠂⢰⣄⣈⣁⣀⣀⣀⣀⣀⣀⣀⣀⣉⣀⣛⣀⣀⣀⣀⣁⣀⣀⣀⣀⣀⣀⣀⣀⣠⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠠⣤⢤⣤⣤⠀⠀⢸⡇⢀⡀⢀⣀⠉⣉⠉⡉⡉⠉⠉⡉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠘⣙⡛⠓⠋⠙⠘⠸⡇⡜⣸⠘⣯⡀⢳⣇⢻⣃⠸⣃⠹⣆⠸⣤⠰⣤⢀⣶⠀⣷⠀⣶⠀⣶⠀⣀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣏⡀⠈⣻⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠻⠯⠽⠥⠬⠩⠉⠁⡇⠀⣿⠀⠹⠇⠸⠏⠈⠯⠀⡿⠀⠽⠀⠛⠀⠛⠈⠉⠀⠀⠀⠈⠀⠉⠀⠁⠀⢹⣿⣿⣿⣿⣿⣻⣷⢀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⢺⣿⣳⣶⡝⠛⠛⠛
⠙⢿⣿⣟⡷⣀⣤⣄⠂⠀⠀⠀⠀⠀⠀⣇⣀⣀⣀⡀⣀⣀⠀⠀⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠄⠀⠀⠀⠐⠒⠒⠂⢠⠐⣾⣿⡿⢿⡉⡇⢸⣷⡆⠀⠀⠀⠀⠀⠀⣸⣿⡿⠿⠛⡛⠛⠙⢻⢀⡀⢸⠗⠟⠟⠲⠸⠀⠀
⠠⠿⣿⣿⣿⣿⣿⣿⢀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣄⠀⢶⠄⠶⠀⣶⣄⣴⣤⡎⣠⣶⠸⣿⡆⠀⠹⠁⣨⣤⣤⠀⠀⠀⢀⡀⠀⠿⠏⠀⠈⠟⣿⣿⣯⡟⠘⠁⢼⣨⣴⢰⣷⠀⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣇⠀⢰⣶⠇⠀⠓⠀⡇⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠁⠀⠀⠀⠀⠀⠙⣿⣿⣻⡷⠘⠿⣷⣾⣈⠀⠀⠀⢸⣿⣿⠀⠀⠀⢠⠄⠀⢀⣾⡟⠈⣷⣿⣟⡛⠃⠀⠈⢸⣿⣯⣿⠇⠀⠀⠀
⢈⡉⠋⠹⣿⣿⣿⡇⡀⠚⠫⠄⠀⠀⠀⠀⠁⢀⣀⣀⣠⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⣀⠀⢀⣿⢿⣿⡗⠀⠀⠀⠻⣿⣦⡀⢀⣰⣿⠃⠀⠀⠀⠘⠁⢰⡿⣦⠀⢸⣿⣧⣿⣿⣿⠀⠀⢸⣿⣿⡏⠀⠀⠀⠀
⠿⠿⠷⠀⢘⣿⣿⠀⠋⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣶⣾⣿⣁⠀⠀⠀⠀⠀⠀⠛⠟⠑⠀⠸⣿⠿⠿⡿⢿⠀⠀⠸⣿⡿⠀⢠⠀⠀⠀
⠀⠀⢲⣶⣶⣿⢿⣄⣤⡆⠀⠐⣲⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣤⣭⣥⣤⣤⣬⣯⣿⣿⣿⣿⣯⣿⣛⣟⠛⢫⣭⣬⡟⠀⠀⠀⢀⠀⠀⠀⠀⠀⠐⠲⠶⠷⢶⣶⣦⠶⠶⠤⠴⠶⠂⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡌⠉⣷⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠒⠛⠓⠒⠀⠐⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣄⠀⠀⢸⣿⠃⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠈⢿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢰⠀⠀⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠠⠤⣼⡟⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⣿⣛⠛⢁⣭⣈⡀⠈⠉⠁⠁⠈⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⢀⢠⣤⣤⣤⠠⠤⠀⠀⠀⠀⠘⠓⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣤⡀⢠⣿⠁⣀⣠⣤⣶⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⡟⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⠀⣀⡸⠟⠉⠛⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢿⣿⠯⣟⠏⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣭⣭⣬⢩⣥⣿⣽⣿⣿⣿⣥⡛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⢿⡟⣿⠁⠀⠀⠀⣿⠟⠉⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣝⠷⣮⡳⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠋⠉⠛⢿⣿⣿⣿⣿⣿⠗⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⠓⢠⣤⣀⣈⣙⣆⣆⣠⣀⣠⡄⠀⣤⠀⢀⣀⢀⣠⣤⣀⣀
⣌⠻⠓⠌⠲⡜⣭⣭⣷⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠲⠾⣿⠟⠋⡡⠬⣿⣿⣿⢵⣇⠁⠊⢐⠘⠛⢛⢙⣿⣿⣿
⠆⠁⠀⠀⠦⠐⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⠀⠀⠀⠀⠀⠿⣿⣿⣿⣫⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣶⣦⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢀⠀⠀⢀⠐⠁⢠⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣀⣀⡀⠀⠀⠀⠀⠉⠛⠛⠷⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠈⣧⡀⠀⠀⢰⠏⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⢀⣴⠀⠐⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠟⠟⠛⠻⠓⢻⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠀⣒⣒⡒⣒⡐⠂⢰⣀⣈⣁⣀⣀⣀⣀⣀⣀⣀⣀⣉⣀⣛⣀⣀⣀⣀⣁⣀⣀⣀⢀⣀⣀⣀⣀⣠⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠠⣤⢤⣤⡤⠀⠀⢸⡇⠀⡉⢀⣈⠉⣉⠉⡉⠉⠉⠉⡉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠘⣙⡛⠓⠋⠙⠘⢸⡇⡜⣰⠈⣿⡀⢻⡇⢻⣃⠸⡃⠹⣆⠰⣤⠠⣤⢀⣶⠀⣶⠀⣶⠀⣦⠀⣀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣏⡀⠈⣻⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠻⠯⠽⠥⠬⠩⠉⠁⡇⠀⣿⠀⠹⠇⠸⠇⠈⠯⠀⡿⠀⠿⠀⠛⠀⠛⠀⠉⠀⠀⠀⠉⠀⠉⠀⠁⠀⢻⣿⣿⣿⣿⣿⣻⣷⢀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⢻⣿⣳⣦⡝⠛⠛⠛
⠉⠻⣿⣾⣷⢀⣠⣤⠂⠀⠀⠀⠀⠀⠀⣇⣀⣀⣀⣀⣀⣀⢀⠀⠀⠄⠠⠤⠤⠤⠤⠤⠤⠤⠄⠀⠀⠀⠐⠒⠒⠂⢠⠐⣾⣿⡯⢿⡉⡇⢸⣧⡆⠁⠀⠀⠀⠀⠀⣸⣿⡿⠿⠛⡛⠛⠉⢻⢀⡀⢸⠗⠟⠟⡲⠸⠀⠀
⠠⠿⢏⣿⣮⣿⣿⣿⡔⡀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣄⠀⢶⠄⠶⠀⣶⣄⣴⣤⡎⣤⣲⠸⣿⡆⠈⠻⠁⣨⣤⣤⠀⠀⠀⢀⣀⠀⠿⠏⠄⠈⠟⣿⡿⣿⡏⠘⠀⢜⣬⣴⢰⣷⠀⠀⠀
⠀⠁⣿⣿⣿⣿⣿⣿⡁⠀⣶⡾⠀⠃⠀⡇⡄⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠁⠀⠀⠀⠁⠀⠀⠀⠀⠀⠙⣿⣿⣻⡷⠘⠟⣷⣾⣀⠀⠀⠀⢸⣿⣿⠀⠀⠀⢠⢄⠀⢀⣾⡏⠈⣷⣿⣟⡛⠃⠀⠈⢸⣿⣷⣿⠇⠀⠀⠀
⠉⣉⠛⠙⢿⣿⣿⡟⢀⠘⠻⠁⠀⠀⠀⠂⠃⢀⣀⣀⣤⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⣀⠀⢀⡿⢿⣿⡟⠀⠀⠀⠻⣿⣦⡀⢀⣸⣿⠃⠀⠀⠀⠙⠁⢺⣿⢇⠀⢸⣿⣷⣿⣿⣿⠀⠀⢸⣿⣿⡏⠀⠀⠀⠀
⠿⠿⠿⠀⠀⢻⣿⡇⠚⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⣿⡿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣶⣾⣿⣁⠀⠀⠀⠀⠂⠀⠛⠇⠁⠀⠸⣿⠿⠿⡿⣾⠀⠀⠸⣿⡿⠀⠰⠀⠀⠀
⠀⠀⢰⣶⣶⣼⣿⣧⣠⣴⠀⠀⣲⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣤⣥⣥⣤⣤⣽⣭⣿⣿⣿⣿⣿⣿⣻⡛⠛⢻⣭⣭⡟⠀⠀⠀⢀⠀⠀⠀⠀⠀⠐⠶⠶⠷⢶⣶⣦⠶⠶⠤⠴⠶⠂⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣷⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡍⠉⣷⣶⣆⠀⠀⠀⠀⠀⠀⠀⠀⠚⠛⠓⠒⠀⠐⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣷⣄⠀⠀⠀⣿⡟⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠈⢿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢰⠀⠀⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠠⠤⢠⣿⠃⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⣿⣛⠛⢉⣤⣀⡀⠀⠈⠉⠁⠁⠀⠀⠁⠀⠀⠉⠁⠀⠀⠀⢀⣤⣤⣤⣠⠠⠤⠀⠀⠀⠀⠘⠓⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣆⡀⠀⣿⡇⢀⣠⣤⣴⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⡟⣾⣇⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⠀⣀⡘⠍⠋⠋⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢿⣿⢯⣛⢿⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣍⣭⣬⣉⣥⣿⣿⣿⣿⣿⣧⡛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⣿⡟⣿⠁⠀⠀⠀⣿⠟⠉⠀⢂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣛⠷⣮⡳⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠃⠉⠛⢿⣿⣿⣿⣿⣿⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⠐⠀⣤⣀⣉⠹⣤⣄⣡⣀⠔⣤⠀⠤⠀⢀⣀⢀⣀⣄⣀⣀
⣍⠳⡕⠌⠳⡜⣭⣭⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⡿⡗⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠶⠿⣿⡛⠋⠠⠾⣿⣿⣿⢡⠂⢒⠂⣣⢎⠛⢛⢛⣿⣿⣿
⠎⠁⠀⠀⢆⠡⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢆⠀⠀⠀⠀⠀⠿⢿⣿⣿⣃⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣷⣶⣴⣶⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⢀⠐⠁⢠⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣀⡀⠀⠀⠀⠈⠉⠛⠛⠶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣾⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠈⣦⡀⠈⠀⢰⠏⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠈⠀⢀⣴⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠟⠟⠛⠻⠓⢻⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠀⣒⣒⡒⣒⡐⠂⣰⣀⣈⣁⣀⣀⣀⣀⣀⣀⣀⣀⣉⣀⣛⣀⣀⠀⢀⣁⣀⢀⣀⢀⣀⣀⣀⣀⣠⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠠⣤⢤⣤⡤⠀⠀⢸⡇⢈⡉⢉⣉⠉⣉⠉⣉⠉⡉⠉⡉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠘⣙⡛⠛⠋⠙⠘⢸⡇⡚⣸⠘⣿⡀⢻⡇⢻⣃⠸⡇⢹⣆⠰⣤⠠⣤⢀⣶⠀⣶⠀⣶⠀⣶⠀⣀⠀⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣏⡀⠈⣻⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠻⠯⠽⠥⠬⠩⠉⠉⡇⠁⣿⠀⠹⠇⠸⠇⠈⠯⠀⡿⠀⠿⠀⠛⠀⠛⠀⠉⠀⠀⠀⠉⠀⠉⠀⠁⠀⢻⣿⣿⣿⣿⣿⣻⣷⢀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⢻⣿⣳⣶⡝⠛⠛⠛
⠉⠻⣿⣦⣾⡆⢀⣀⡂⠀⠀⠀⠀⠀⠀⣇⣀⣀⣀⣀⣀⣀⣀⠀⠀⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠀⠀⠀⠐⠒⠒⠂⢠⠐⣾⣿⡯⢿⡉⡇⢸⣧⡆⠁⠈⠀⠀⠀⠀⣰⣿⡿⠿⠛⡛⠛⠉⢻⢀⡀⢸⠗⠟⠟⡲⠸⠀⠀
⠠⠶⠮⢛⣿⣧⣿⣿⣿⢀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣄⠀⢶⠄⠶⠀⣶⣤⣴⣤⡎⣤⣴⠸⣿⡆⠀⠻⠃⣬⣤⣤⠀⠀⠀⣀⣀⠀⠽⠏⠀⠘⠟⣿⣿⣿⡟⠘⠀⢜⣬⣴⢰⣷⠀⠀⠀
⠀⠛⠀⣿⣿⣿⣿⣿⣿⠈⢠⣶⡗⠃⠀⡇⡄⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠁⠀⠀⠀⠁⠀⠀⠀⠀⠀⠙⣿⣿⣻⡗⠘⠿⣷⣾⣈⠀⠀⠀⢸⣿⣿⠀⠀⢀⢠⡀⠀⢀⣿⡏⢘⣷⣿⣟⡛⠃⠀⠈⢸⣿⣷⣿⠇⠀⠀⠀
⠉⠉⡁⠛⠻⣿⣿⣿⡏⣀⠘⠛⠁⠀⠀⠁⠃⢀⣀⣀⣠⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⣀⠀⢀⡿⢿⣿⡗⠀⠀⠀⠻⣿⣦⡀⢀⣰⣿⠃⠀⠀⠀⠟⠁⣺⣿⣿⠁⢸⣿⣷⣿⣿⣿⠀⠀⢸⣿⣿⡏⠀⢈⠀⠀
⠻⠿⠿⠗⠀⠀⢻⣿⣃⣻⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣶⣾⣿⣁⠀⠀⠀⠀⠂⠐⠛⠿⠛⠀⠸⣿⠿⠿⡿⣿⠀⠀⢸⣿⡟⠀⠰⠀⠀⠀
⠀⠀⢰⣶⣶⠀⢸⣿⣯⣤⣤⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣤⣬⣥⣤⣤⣬⣽⣿⣿⣿⣿⣿⣿⣻⣛⠛⢫⣭⣭⡟⠀⠀⠀⢠⠀⠀⠀⠀⠀⠐⠶⠾⠷⢶⣶⣦⠶⠶⠤⠴⠶⠂⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡉⠉⣷⣶⣆⠀⠀⠀⠀⠀⠀⠀⠀⠚⠛⠓⠒⠀⠐⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣷⣄⠀⠀⠀⠀⣿⡟⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠈⢿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢰⠀⠀⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠠⠤⠀⢠⡿⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⡿⣛⠛⢁⣤⣁⡀⠁⠉⠁⠀⠉⠁⠀⠀⠀⠀⠉⠁⠀⠀⠀⠠⢠⣤⣤⣤⠠⠤⠀⠀⠀⠀⠘⠓⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣦⡀⠀⠀⡿⠃⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⡟⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⠀⣀⡸⠏⠋⠉⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢿⣿⢯⣛⢿⣇⡀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣭⣬⣩⣥⣿⣿⣿⣿⣿⣧⡛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⢿⡟⣿⠁⠀⠀⠀⣿⠟⠉⠀⢖⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣙⠷⣮⡻⠿⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠛⠻⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⠑⠀⣤⡀⡈⣙⣶⣦⣷⣀⡄⣦⡀⢤⢀⢀⣀⣀⣤⣀⣀⣀
⣍⠻⠑⠌⢳⠔⣭⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⡀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠶⠾⣿⠛⠋⣀⠞⣿⣿⣿⢾⣲⠂⠘⣻⠜⠛⢛⣛⣿⣿⣿
⠎⠁⠀⠀⢦⠠⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡂⠀⠀⠀⠀⠀⢿⣿⣿⣿⣟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⢀⠐⠁⢠⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣀⡀⠀⠀⠀⠈⠉⠛⠛⠷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣾⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠈⣦⡀⠈⠀⢰⠏⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣤⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠈⠀⢀⣴⠀⠐⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠟⠟⠛⠻⠗⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠀⣒⣒⡒⣒⡐⠒⢰⣀⣈⣁⣀⣀⣀⣀⣀⣀⣀⣀⣉⣀⣛⣀⣀⢀⣀⣁⣀⣀⠀⠀⣀⣀⣀⣀⣀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠠⣤⢤⣤⣤⠀⠀⢸⡇⢀⡉⠉⣀⠈⣉⠉⣉⠉⠉⠉⠉⠉⠉⠉⠁⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠘⣙⡛⠛⠋⠙⠘⠸⡇⠞⣰⠈⣿⡀⢿⡇⢻⣣⠸⡃⢹⣆⠰⣤⠰⣤⢀⣶⠀⣶⠀⣶⠀⣶⠀⣀⠀⣻⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣟⡀⠈⣻⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠻⠯⠽⠥⠬⠩⠉⠁⡇⠀⣿⠀⠹⠇⠸⠏⠈⠯⠀⡿⠀⠿⠀⠛⠀⠛⠈⠉⠀⠀⠀⠈⠀⠉⠀⠁⠀⢻⣿⣿⣿⣿⣿⣻⣷⢀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⢺⣿⣻⣶⡝⠛⠛⠛
⠙⠛⢷⣾⣤⣧⠀⣀⣂⠀⠀⠀⠀⠀⠀⣇⣀⣀⣀⣀⣀⡀⢀⠀⠀⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠀⠀⠀⠐⠒⠒⠂⢠⠔⣾⣿⡿⢿⡉⡇⢸⣧⡆⠁⠈⠀⠀⠀⠀⣸⣿⡿⠿⠛⡛⢛⠙⢹⢀⡀⢸⠟⠾⠿⡲⠸⠀⠀
⠠⠿⠮⠙⣿⣟⣰⣿⣿⡷⡄⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⠀⢶⠄⠶⠀⣶⣤⣶⣤⡞⣤⣠⠸⣿⡆⠈⠻⠃⣨⣤⣤⠀⠀⢀⣀⣀⠀⠿⠏⠄⠘⠟⣿⣿⣿⡟⠘⠁⢼⣬⣴⣰⣷⠀⠀⠀
⠀⠋⠀⢸⣿⣿⣿⣿⣿⡇⠀⢰⣿⠗⠀⡇⡄⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠁⠀⠀⠀⠁⠀⠀⠀⠀⠀⠙⣿⣿⣻⡗⠘⠿⣿⣾⡀⠀⠀⠀⢸⣿⣿⠀⠀⢠⠠⡄⢀⢀⣾⡟⢈⣷⣿⣟⡛⠃⠀⠈⢸⣿⣿⣿⠇⠀⠀⠀
⠉⠉⠉⠘⠛⠿⣿⣿⣿⠃⡀⠛⠏⠀⠀⠁⠁⢀⣀⣀⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⣀⠀⢀⡿⢿⣿⡿⠀⠀⠀⠹⣿⣦⡀⢀⣰⣿⠃⠀⠀⠀⠘⠁⢾⣿⣿⠀⢸⣿⣷⣿⣿⣿⠀⠀⢸⣿⣿⡏⠀⢀⠀⠀
⠀⠿⠿⠿⠃⠀⠀⢻⣿⢀⡧⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣶⣾⣿⣁⠀⠀⠀⠀⠀⠐⠛⠿⠛⠀⠸⣿⠿⠿⡿⣾⠀⠀⠸⣿⡟⠀⢰⠀⠀⠀
⠀⠀⢰⣶⣶⠀⠀⢸⣟⣧⣤⡆⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣤⣬⣥⣤⣤⣬⣯⣿⣿⣿⣿⣯⣿⣹⣛⠛⢫⣭⣭⡟⠀⠀⠀⢠⠀⠀⠀⠀⠀⠐⠶⠾⠷⢶⣶⣦⠶⠶⠤⠴⠶⠒⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡍⠉⣿⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠚⠛⠓⠒⠀⠐⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣷⣄⠀⠀⠀⠀⠀⣿⡟⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠈⢿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢰⠂⠀⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠤⠤⠀⠀⢠⡿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⡿⣛⠛⢁⣤⣈⡀⠈⠈⠉⠉⠉⠉⠀⠁⠀⠀⠉⠉⠀⠀⠀⠀⢤⣤⣤⣤⠠⠤⠄⠀⠀⠀⠘⠓⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣦⡀⠀⠀⢈⣛⠁⠀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⡟⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⠀⣀⡸⠯⠙⠉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣻⣿⢯⣛⢿⣿⣿⣤⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣭⣭⣬⣭⣵⣿⣽⣿⣿⣿⣧⡛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⣿⡟⣿⠁⠀⠀⠀⣿⠟⠉⠀⢆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣙⠷⣮⡻⣿⡿⠟⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠟⠋⠛⣿⣿⣿⣿⣿⣿⡿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⠐⢠⣤⡀⡉⢹⣆⣰⢢⣀⣄⢦⣀⡤⠄⢀⡀⣀⣀⣀⣀⣀
⣍⠻⡑⠌⢳⠜⣤⣤⣶⣾⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣯⡀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠒⠿⣿⡛⠋⡨⠜⣿⣿⣿⣏⡟⢞⠊⡡⠘⠛⢋⣛⣿⣿⣿
⠎⠁⠀⠀⢦⠐⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢆⠀⠀⠀⠀⠀⢿⣿⣿⣿⣫⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣷⣶⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⢀⠐⠁⢠⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣀⡀⠀⠀⠀⠈⠉⠛⠛⠧⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣾⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠈⣦⡀⠊⠀⢰⡏⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠈⠀⢀⣴⡀⠐⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠟⠟⠛⠻⠗⣻⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠀⣒⣒⡒⣒⡐⠂⢠⣄⣈⣁⣀⣀⣀⣀⣀⣀⣀⣀⣉⣀⣙⣀⣀⣀⣀⣁⣀⣀⣀⣀⣀⣀⣀⣀⣠⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠠⣤⢤⣤⣤⠀⠀⢸⡇⢈⡉⢉⣉⠉⣉⠉⣉⡉⠉⠉⠉⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣾⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠘⣙⡛⠛⠋⠙⠈⠸⡇⠊⣾⠀⣿⡆⢻⣃⠙⣱⠸⣃⠸⣆⠘⣤⡀⣤⢠⣶⠀⣶⡀⣶⠀⣶⠀⣀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣟⡄⠈⢻⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠻⠯⠽⠥⠬⠩⠉⠁⡇⠀⣿⠃⠸⠇⠸⠏⠀⠯⠀⣿⠀⠿⠁⠛⠀⠙⠁⠉⠀⠀⠀⠈⠀⠉⠀⠋⠀⢸⣿⣿⣿⣿⣿⣻⣷⢆⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⢺⣿⢻⣷⡜⠛⠛⠛
⠉⠛⢹⣾⣢⣵⡄⣀⣂⡀⠀⠀⠀⠀⠀⣇⣀⣀⣀⡀⣀⣀⣀⡀⠀⠤⠤⠤⠤⠤⠤⠤⠤⠤⠄⠀⠀⠀⠀⠒⠒⠂⢠⠐⣼⣿⣿⢻⣇⡇⢸⣧⡆⠀⠀⠀⠀⢀⠀⣰⣿⡿⠿⠙⡛⢛⠉⢻⢄⡀⠘⡟⠾⠟⢲⠀⠀⠀
⠀⠶⠦⠙⣿⣿⣱⣿⣿⣿⣄⠀⠀⡀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⠀⢶⠄⠶⠄⣶⣦⣴⣤⡺⢠⣢⡘⣿⡇⠀⠛⠃⣸⣤⣤⠀⠀⠀⢀⣀⠄⠽⠧⠄⠀⠻⣿⣿⣯⣿⠀⠃⢸⣪⣵⢠⣷⠀⠀⠀
⠈⠉⠀⠀⣿⣿⣿⣿⣿⡇⠀⢠⣾⡟⠀⡋⠆⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣻⡿⠈⠻⠷⣾⣦⠀⠀⠀⠸⢿⣿⢠⠀⠀⢠⡄⠀⢀⣽⡿⠈⣷⣿⣿⣛⠛⠀⠈⢸⣿⣿⣿⠏⠀⠀⠀
⠈⠉⠉⠀⠛⠛⠿⣿⣿⡇⢀⠘⠛⠁⠀⠀⠀⢀⣀⣀⣤⣤⣤⣄⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⢀⡀⢀⣿⢿⣿⣿⠀⠀⠀⠹⣿⣧⣄⠀⡀⣿⠏⢸⠀⠀⠸⡃⢸⣿⣿⠇⢸⣿⣯⣿⣿⣿⠃⠀⢸⣿⣿⡟⠀⠀⠀⠀
⠈⠻⠿⠿⠟⠀⠀⠨⣿⡇⣾⠄⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⢿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣶⣾⣿⣍⠀⠈⠀⠀⠂⠐⠻⠟⠟⠀⠘⢿⠿⠿⢟⣿⡁⠀⠸⣿⡿⠁⢰⠀⠀⠀
⠀⠀⢰⣶⣶⠀⠀⠀⣿⣿⣴⡶⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣤⣤⣤⣤⣤⣬⣽⣿⣿⣿⣿⣿⣿⣛⣛⠛⢻⣯⣭⡿⠀⠀⠀⢀⠀⠀⠀⠀⠀⠐⠲⠴⠷⠶⣶⣦⠶⠶⠦⠴⠶⠒⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣌⠈⢿⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠒⠀⠀⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣆⠀⠀⠀⠀⠀⢸⣿⠇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡆⠈⢻⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢰⡂⠀⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀
⠂⠀⠠⠤⠀⠀⠀⣸⡗⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⡿⣛⠛⢉⣥⣀⡀⠈⠉⠉⠉⠉⠉⠁⠀⠀⠀⠉⠉⠀⠀⠀⠀⣠⣤⣤⣤⠠⠤⠄⢀⠀⠀⠘⠓⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣦⡀⠀⠀⢈⣓⣛⠁⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⡟⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⠀⣀⡐⠟⠋⠋⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⠯⣟⢿⣿⣿⣿⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣭⣭⣬⣩⣥⣿⣿⣿⣿⣿⣷⡛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⢿⡟⣿⠁⠀⠀⠀⢾⠟⠋⠀⢣⣄⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣝⠳⣮⡓⣿⣿⡿⠛⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠛⠙⠻⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⠓⢠⣤⣀⣈⣙⣷⣖⣄⣦⣶⣶⣶⣖⣶⣄⣀⣠⣤⣤⣤⣄
⣌⠻⠗⢈⠻⡌⢯⣤⣴⣶⣾⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⢇⢀⠀⠀⠀⠀⠀⡾⣿⣿⣿⣿⡛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠺⢿⣿⣿⡋⡻⠿⣿⣿⣿⣿⣿⣿⡿⣻⣻⢿⣿⣿⣿⣿⣿
⠏⠓⠀⠀⠦⠘⠺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⠀⠀⠀⠀⠀⢿⣿⣿⣿⣓⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⣿⣶⣦⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⢀⠐⠃⢀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⣀⣀⠀⠀⠀⠀⠉⠙⠛⠷⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣾⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢣⡀⠈⠀⢰⡟⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠈⠀⢀⣶⠀⠘⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠿⠟⠛⠻⠛⢻⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠀⣒⣒⡒⣒⡐⠂⢠⣄⣈⣁⣀⣀⣀⣀⣀⣀⣀⣀⣉⣀⣙⣀⣀⣀⣀⣁⣀⣀⣀⣀⣀⣀⣀⣀⣠⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠠⣤⢤⣤⣤⠀⠀⢸⡇⢈⡉⠉⣉⠉⣉⠉⣉⡉⢉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣾⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠘⣙⡛⠛⠋⠙⠈⠸⡇⠊⣾⠀⣿⡆⢿⣃⠹⣱⠘⣃⠸⣆⠸⣤⡀⣤⢠⣶⠀⣶⡀⣶⠀⣶⠀⣀⠀⢹⣿⣿⣿⣿⣿⣿⣿⠿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡄⠀⢻⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠻⠯⠽⠥⠬⠩⠉⠁⡇⠀⣿⠃⠹⠇⠸⠏⠀⠿⠀⣿⠀⠿⠁⠛⠀⠙⠁⠉⠀⠀⠀⠈⠀⠉⠀⠉⠀⢸⣿⣿⣿⣿⣿⣿⣷⢆⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⢻⣿⢻⣷⡌⠛⠛⠛
⠉⠛⢱⣾⢧⣱⡄⣀⣂⡀⠀⠀⠀⠀⠀⣇⣀⣀⣀⣀⣀⣀⣀⠀⠀⠤⠤⠤⠤⠤⠤⠤⠤⠤⠄⠀⠀⠀⠀⠒⠒⠒⢠⠰⣼⣿⣿⢻⣇⡇⢸⣧⡆⠀⠀⠀⠀⢀⡀⣰⣿⡿⠿⠙⡛⢛⠉⢻⢄⡀⠸⡟⠾⠟⢲⠀⠀⠀
⠀⠿⠧⠙⢿⣿⣃⣿⣿⣿⣦⠀⠀⣀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⠀⢶⡄⠶⠄⣶⣆⣴⣤⡺⢪⣢⡘⣿⡇⠀⢙⠃⣸⣤⣤⠀⠀⠀⡀⡀⠀⠾⠏⠄⠀⠻⣿⣿⣿⣿⠀⠃⢸⣪⣵⢠⣷⠀⠀⠀
⠀⠉⠀⠀⣼⣿⣿⣿⣿⣿⠄⠀⣾⡟⠀⠉⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣻⡾⠈⠛⡷⣾⣦⠀⠀⠀⠸⣿⣿⢠⠀⠀⢠⡄⢀⢀⢼⡿⠀⣷⣿⣿⣛⠛⠀⠀⢸⣿⣿⣿⠏⠀⠀⠀
⠉⠉⠉⠀⠘⠟⠿⡿⣿⡟⢀⡘⠛⠃⠀⠀⠀⢀⣀⣀⣤⣤⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⢀⡀⢀⣿⢿⣿⣿⠀⠀⠀⠹⣿⣧⣀⠀⣀⣿⠏⢸⠀⠀⠸⠣⢐⣿⣿⠅⢸⣿⣯⣿⣿⣿⠃⠀⢸⣿⣿⡟⠀⠀⠀⠀
⠀⠛⠿⠿⠿⠂⠀⠀⢿⡗⣸⠥⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣾⣿⣶⣾⣿⣍⠀⠘⠀⠀⠂⠐⠛⠿⠋⠀⠈⣿⠿⠿⢟⣿⡃⠀⠸⣿⡿⠁⢰⠀⠀⠀
⠀⠀⢰⣶⣶⠄⠀⠀⢺⣷⣶⣶⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣤⣥⣤⣤⣤⣬⣿⣿⣿⣿⣿⣿⣿⣛⣛⠛⢻⣭⣥⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠲⠶⠷⠶⢶⢦⠴⠶⠦⠶⠖⠒⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣌⠈⢿⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠚⠛⠛⠒⠀⠀⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣆⠀⠀⠀⠀⠀⠀⣿⡟⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠻⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢰⡂⠀⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀
⠂⠀⠠⠤⠀⠀⠀⠀⣿⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣭⣻⣿⣿⣿⣿⣿⣿⣿⣛⠛⢋⣭⣀⡀⠈⠉⠉⠉⠉⠉⠉⠀⠀⠀⠉⠉⠀⠀⠀⠀⢤⣤⣤⣤⠠⠤⠄⢀⠀⠀⠘⠓⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣤⡀⠀⠀⢈⣋⣐⡋⠀⢸⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⠀⣀⡐⠿⠋⠋⣉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⠯⣟⢿⣿⣿⣿⣧⣤⢴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣭⣬⣭⣥⣽⣿⣿⣿⣿⣷⡛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⢿⡟⣿⠁⠀⠀⠀⢾⠟⠋⠀⢲⣠⡠⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣝⠻⣮⡓⢻⣿⣿⠿⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠋⠋⠻⢿⣿⣿⣿⣿⣿⡿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⠓⠠⣤⣀⣈⣹⣷⣦⣡⣦⣴⣶⣶⣖⣶⣤⣀⣠⣤⣤⣠⣤
⣌⠛⠗⠈⠻⡌⢿⣧⣤⣶⣶⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿⣿⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠺⠿⣿⣿⡋⡽⠿⣿⣿⣿⣿⣿⣿⡿⣿⣻⣿⣿⣿⣿⣿⣿
⠯⠑⠀⠠⠦⡘⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡆⠀⠀⠀⠀⠀⠺⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠡⣾⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠐⠃⢀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣀⡀⠀⠀⠀⠈⠉⠙⠛⠿⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢣⡀⠀⠀⢠⣟⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠈⠀⢀⣴⠄⠘⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠿⠟⠛⠻⠛⢻⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠀⣒⣒⡒⣒⡐⠂⢀⣆⣈⣁⣀⣀⣀⣀⣀⣀⣀⣀⣈⣁⣘⣃⣀⣀⣀⣈⣀⣀⣀⣀⣀⣀⣀⣀⣀⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠠⣤⢤⣤⣤⠀⠀⠸⣏⠀⣈⠉⣈⠉⣉⡉⣉⡉⢉⠉⢉⠉⠉⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡗⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠘⣙⡛⠛⠛⠙⠈⠀⡿⢀⢏⡆⢿⣇⠸⣵⠘⣟⡈⣗⠈⣷⡀⣦⡄⣧⡌⣰⡆⢺⡆⢲⡆⢲⠀⣠⠀⢸⣿⣿⣿⣿⣿⣿⣿⠿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣥⠀⢹⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠻⠯⠽⠥⠬⠩⠉⠁⣿⠈⢸⡇⠸⠯⠀⠿⠀⠽⠁⢹⠇⠸⠇⠘⠃⠘⠃⠈⠁⠀⠀⠀⠀⠈⠀⠈⠀⢸⣿⣿⣿⣿⣿⣿⣿⡆⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠻⣿⢯⣿⣮⠛⡛⠛
⠈⠛⠉⣤⡞⡐⣄⢀⣐⣀⠀⠀⠀⠀⠀⢸⣀⣀⣀⣀⣀⠀⡀⠀⠀⠤⠤⠤⠤⠤⠤⠤⠤⠤⠄⠀⠀⠀⠐⠒⠒⠒⡀⡔⢱⣿⣿⠻⣏⡀⠀⣿⣾⠀⠀⠀⠀⠀⡀⢀⣾⡿⠿⠟⣛⢛⠛⡋⡇⡄⠀⡿⢼⠿⢳⠆⠃⠀
⠀⠼⠇⠛⢿⣿⡟⣸⣿⣿⡷⡄⠀⣀⡀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣦⡀⠰⡆⠰⠆⢴⣦⣴⣦⣸⢠⣦⡆⢿⡷⠀⠈⠃⢰⣥⣤⡆⠀⠀⡀⣄⠀⠼⠮⠄⠀⠹⢻⣿⣯⣧⠀⠃⠰⣫⣷⣦⣾⠆⠀⠀
⠀⠋⠀⠀⠀⣿⣿⣿⣿⣿⡇⡀⢸⣿⠃⢸⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠈⠀⠀⠀⠀⠀⠈⣿⣿⣛⣿⠀⠛⠿⣶⣇⡀⠀⠀⠀⣿⣿⠇⠀⠀⢀⡖⠐⢀⣸⣿⠁⣷⣿⢿⣛⣛⡀⠀⠀⣿⣿⣾⡟⠀⡄⠀
⠈⠉⠉⠀⠀⠿⠿⢿⣿⣿⠇⣰⡌⠉⠀⢸⠈⠀⣀⣀⣤⣤⣤⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⢀⡀⢀⣸⣿⣿⣿⠂⠀⠀⠙⢿⣷⣄⡀⣀⣾⡏⠀⠀⠀⠸⠋⢨⣿⣿⡇⠀⣿⡿⣾⣿⣿⡇⠀⠀⣿⣿⡿⠀⠀⠁⠀
⣀⠛⠿⣶⣾⠶⠀⠀⠘⣿⢻⠿⠃⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⢿⡿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣶⣶⣿⣏⡀⠀⠀⠀⠈⠀⠚⠛⠛⠀⠀⢻⠿⠿⢟⢵⡇⠀⠀⣿⣿⠃⠀⠀⠀⠀
⠁⠀⠀⣶⣶⡆⠀⠀⠀⣿⣿⣴⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣤⣤⣤⣤⣬⣭⣿⣿⣿⣿⣿⣽⣏⣟⡛⠋⣯⣯⣼⠃⠀⠀⠀⡆⠀⠀⠀⠀⠐⠒⠶⠿⠶⠶⠶⠴⠶⠶⠶⠒⠒⠀⠀⠀⠀⠀
⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⠈⢹⣷⣶⡀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠛⠛⠀⠀⠲⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀
⢿⣦⠀⠀⠀⠀⠀⠀⠀⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠹⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⢐⡂⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀
⠂⠈⠠⠤⠄⠀⠀⠀⠀⣿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⣿⣿⣻⠛⢋⣥⣀⡀⠁⠈⠉⠉⠀⠁⠁⠀⠀⠀⠈⠉⠀⠀⠀⠀⠠⣤⣤⣤⠀⠦⠤⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣧⣄⠀⠀⢈⣋⣐⣤⣏⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⡀⣀⣀⠻⠛⠙⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡿⣿⡿⣍⡻⣿⣿⣿⣿⣯⡴⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣭⣬⣩⣡⣽⣿⣿⣿⣿⣷⡛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⢿⡟⣿⠁⠀⠀⠀⢺⠿⠋⠀⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣏⠻⢶⡝⢿⣿⣿⡿⠟⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠙⠋⠙⢿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⠒⠂⣤⣄⣈⣉⣧⣢⣎⣢⣀⡄⣢⠐⡆⣄⣀⡀⣤⣤⣄⣀
⣮⡙⠟⠢⠹⠊⢻⣿⣤⣶⣶⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⢿⣀⡀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠲⠿⠿⡟⠛⢹⠾⠿⣿⣿⣷⢗⣣⣁⠃⢏⠙⣻⣿⣿⣿⣿
⠻⠉⠀⠀⠴⡀⠗⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⠀⠀⠀⠀⠀⠻⢿⣿⣿⣟⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣶⣶⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⡀⠊⢀⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣀⣀⠀⠀⠀⠀⠉⠉⠛⠻⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢱⡄⠀⠀⢠⣾⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠈⠀⠀⣠⠆⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠹⠟⠛⠻⠻⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠀⣒⣒⡒⣒⡐⠂⢀⣆⣀⣉⣀⣀⣀⣀⣀⣀⣀⣀⣈⣁⣘⣃⣀⣀⣀⣈⣀⣀⣀⣀⣀⣀⣀⣀⣀⡄⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠠⣤⢤⣤⡤⠀⠀⠨⣿⠀⣈⠉⣉⡉⢉⡉⢉⣉⠉⠉⢉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠘⣙⡛⠛⠋⠙⠈⠀⣿⢰⢃⡇⢺⣇⠘⣿⡘⣟⡀⢟⠀⢷⡀⢦⡄⢦⡌⣰⡆⢸⡆⢰⡆⢰⡆⢀⡀⢸⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣥⡀⢙⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠺⠯⠽⠥⠬⠩⠉⠁⢸⠀⢸⡇⠈⠿⠀⠿⠁⠹⠅⢸⡇⠸⠇⠘⠃⠘⠃⠈⠁⠀⠀⠀⠀⠈⠀⠈⠀⢈⣿⣿⣿⣿⣿⣟⣿⡆⣀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⣿⡏⣿⣮⠙⠛⠛
⠈⠙⠉⢠⣴⠀⣄⠀⢀⣀⠀⠀⠀⠀⠀⢸⣀⣀⣀⣀⣀⣀⣀⡀⠀⠠⠤⠤⠤⠤⠤⠤⠤⠤⠤⠀⠀⠀⠀⠒⠒⠒⠀⡄⢲⣿⣿⠿⣿⣸⠀⣿⣴⠀⠀⠀⠀⠀⡀⢀⣾⣿⠟⠟⢛⠛⡛⠋⡇⣀⠀⡿⠹⠿⢗⠆⠂⠀
⠀⠼⠧⠻⣿⣶⡿⠛⣿⣿⡿⠦⠀⢠⣦⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⡀⠰⡦⠰⠆⢰⣦⣤⣦⣴⠇⣴⣆⢿⣿⠀⠀⠋⢀⣥⣤⡆⠀⠀⠀⣀⠀⠸⠷⠀⠀⠸⢻⣿⣿⣯⠃⠉⠠⣧⣵⡆⣾⡆⠀⠀
⠀⠙⠂⠀⠈⣿⣷⣾⣿⣿⣯⠀⠀⢻⣿⢸⢱⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠈⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⢻⣿⣟⣿⠆⠛⢿⢶⣧⡄⠀⠀⠀⢿⣿⡇⠄⠀⠀⣦⠀⡀⣸⣿⠃⣻⣾⣿⣟⣛⡀⠀⠀⣿⣿⣿⡿⠀⠀⠀
⠈⠉⠉⠁⠀⠿⠿⠿⣿⣿⣿⢀⣿⡏⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⢀⡀⢀⣸⣿⣿⣿⡇⠀⠀⠈⠿⣿⣆⡀⣀⣾⡟⠀⠀⠀⠠⠋⠠⣿⣿⡏⠀⣿⣿⣾⣿⣿⡇⠀⠀⣿⣿⣿⠁⠀⠀⠀
⢠⠛⠻⣦⣶⡦⠀⠀⠀⢾⣿⣨⠿⠃⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣷⣶⣿⣯⣀⠀⠀⠀⠀⠀⠚⠟⠛⠃⠀⢻⡿⠿⠿⣿⡇⠀⠀⢿⣿⠇⠀⡆⠀⠀
⠀⠁⠀⣶⣶⡆⠀⠀⠀⠈⣿⣧⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣤⣤⣤⣤⣬⣭⣽⣿⣿⣿⣿⣿⣟⣽⡛⠛⣽⣭⣽⠃⠀⠀⠀⡄⠀⠀⠀⠀⠀⠒⠶⠾⠶⠶⠶⠵⠶⠶⠴⠖⠒⠂⠀⠀⠀⠀
⡀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠁⠹⣷⣷⡄⠀⠀⠀⠀⠀⠀⠀⠐⠛⠛⠛⠂⠀⠰⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀
⢿⣧⡀⠀⠀⠀⠀⠀⠀⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠙⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⣒⠀⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀
⠗⠀⠀⠤⠄⠀⠀⠀⠀⢸⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣝⣻⣿⣿⣿⣿⣿⣿⣿⣟⠛⢋⣤⣀⡀⠁⠈⠉⠉⠉⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠠⣤⣤⣤⡄⠄⠤⠀⠀⠀⠀⠛⠂⠀⠀⠀⠀⠀⠀⠀
⣿⣷⣄⠀⠀⠀⣙⣁⣦⣼⠁⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⠀⢀⣀⠺⠛⠙⢉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡿⣿⡿⢍⡻⣿⣿⣿⣿⣿⣤⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣭⣬⣍⣥⣽⣿⣿⣿⣿⣷⡛⠛⠿⠿⠹⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⢿⡟⣿⠁⠀⠀⠀⠰⡿⠋⠁⠐⣄⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣯⡻⢶⣍⢚⣿⣿⡿⠟⠃⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠋⠛⠻⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠁⠉⠀⠀⠀⠀⠈⠂⢠⣄⣀⣉⣳⣤⣱⣅⣇⢴⣆⡀⣀⣀⣀⣀⣀⣤⣤⣀
⣦⡙⠯⠢⡙⠣⠺⣿⣦⣴⣶⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⡿⠀⡀⠀⠀⠀⠀⢈⣿⣿⣿⣿⢿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠐⠻⢿⣿⠋⢉⠰⠻⢿⣿⣾⠶⣨⣇⠃⣈⡉⣝⣛⣿⣿⣿
⠳⠈⠀⠀⠐⠄⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠸⢿⣿⣿⣟⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠚⠀⡈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣀⣀⡀⠀⠀⠀⠉⠉⠛⠻⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠘⣄⠀⠀⠠⣾⡁⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠁⠀⣠⡆⠀⠂⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠹⠟⠛⠻⠛⠛⡛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠀⣒⣒⡒⣒⡐⠂⢀⣆⣈⣉⣀⣀⣀⣀⣀⣀⣀⣀⣈⣁⣘⣃⣀⣀⣀⣉⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠠⣤⣤⣤⣤⠀⠀⠸⣿⠀⢉⠉⣉⡉⣉⡉⣉⡉⠉⡉⢉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡗⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠘⣙⡛⠛⠛⠙⠈⠀⣿⢠⢏⡆⢻⣇⠸⣷⠘⣟⡈⢟⠈⣷⡀⣧⡄⢦⡄⣰⡆⢸⡆⢰⡆⢲⡄⣀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠿⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣅⠀⢙⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠺⠯⠽⠥⠬⠩⠉⠁⢹⠈⢸⡇⠈⠿⠀⠿⠀⠹⠅⢹⠇⠸⠇⠘⠃⠘⠃⠈⠁⠀⠀⠈⠀⠈⠀⠈⠀⢘⣿⣿⣿⣿⣿⣿⣿⡆⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⣿⢏⣿⣮⠛⡛⠛
⠈⠻⠉⢀⣠⠀⡀⠀⢐⣀⠀⠀⠀⠀⠀⢸⣀⣀⣀⣀⣀⣀⣀⡀⠀⠠⠤⠤⠤⠤⠤⠤⠤⠤⠄⠀⠀⠀⠀⠒⠒⠒⡀⡔⢳⣿⣿⠽⣏⣸⠀⣿⣴⠀⠀⠀⠀⠀⡀⢀⣾⣿⠿⠟⢛⠛⡛⠋⡇⣀⠀⡿⠿⠿⢓⠆⠃⠀
⠀⠼⠧⢿⡟⣶⣿⢶⣿⣿⣿⠦⠀⢠⣶⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⡀⠰⡦⠰⠆⢴⣦⣤⣦⣴⢇⣴⡆⢿⣷⠀⠈⠏⢠⣥⣤⡆⠀⠀⠀⣀⠀⠸⠷⠀⠀⠹⢻⣿⣿⣿⠁⠋⠠⣧⣵⣆⣾⡆⠀⠀
⠀⠙⠀⠀⠈⣿⣷⣾⣿⣿⣿⠀⢀⣼⣿⢿⢰⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠈⠀⠀⠀⠈⠀⠀⠀⠀⠀⠈⢻⣿⣟⣿⠂⠻⢿⣶⣇⡀⠀⠀⠀⣿⣿⡇⠀⠀⠀⣖⠀⡀⣸⣿⠉⣻⣾⣿⣛⣛⠀⠂⠀⣿⣿⣿⡟⠀⠀⠀
⠈⠉⠉⠀⠀⢿⠿⢿⣿⣿⣿⣀⣿⣿⠀⠘⠀⠀⣀⣀⣠⣤⣤⣤⣄⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⢀⡀⠀⣸⣿⣿⣿⡆⠀⠀⠘⢿⣷⣄⠀⣀⣿⡟⠀⠀⠀⠠⠋⢀⣟⣿⠇⠀⣿⡿⣾⣿⣿⡇⠀⠀⣿⣿⣿⠀⠀⠀⠀
⢠⠙⠻⣶⣶⡤⠀⠀⠀⠾⣿⢠⡿⠏⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣷⣶⣿⣯⡀⠀⠀⠀⠀⠀⠛⠙⠛⠀⠀⢻⡿⠿⢿⢿⡇⠀⠀⢿⣿⠃⠀⠆⠀⠀
⠀⠀⠀⣶⣶⡆⠀⠀⠀⠀⣯⣿⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣤⣤⣤⣤⣤⣽⣽⣿⣿⣿⣿⣿⣟⣝⡛⠛⣽⣯⣽⠃⠀⠀⠀⡆⠀⠀⠀⠀⠀⠒⠶⠾⠶⠶⠶⠵⠶⠦⠴⠖⠒⠂⠀⠀⠀⠀
⡀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⠁⠹⣷⣶⡄⠀⠀⠀⠀⠀⠀⠀⠐⠛⠛⠛⠀⠀⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢿⣦⡀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠙⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢀⡖⠀⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀
⠗⠀⠀⠤⠄⠀⠀⠀⠀⢸⡗⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⣿⣿⠛⢋⣤⣀⡈⠁⠈⠈⠉⠉⠀⠁⠀⠀⠀⠈⠉⠀⠀⠀⠀⢤⣤⣤⣤⡄⠤⠤⠀⠀⠀⠀⠛⠂⠀⠀⠀⠀⠀⠀⠀
⣿⣧⣄⠀⠀⠀⣉⣑⣦⣼⠁⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⠀⢀⣀⠻⠙⠙⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⡿⣝⡻⣿⣿⣿⣿⣿⣤⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣭⣬⣉⣥⣽⣿⣿⣿⣿⣿⣟⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⢿⡟⣿⠁⠀⠀⠀⠸⡿⠋⠁⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣯⡻⢶⣝⢸⣿⣿⡿⠟⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠣⠊⠚⠿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⠘⠂⣤⣄⣀⡉⣳⣦⣰⣤⡔⡦⣆⠰⠀⣀⣀⣀⣠⣤⣀⣤
⣦⡙⢿⠢⠙⣦⢺⣿⣤⣴⣶⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣅⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠙⠿⠿⡿⡋⢁⠵⢿⣿⣿⣷⢿⣌⡦⠁⡝⠛⢙⣻⣟⣿⣿
⠻⠉⠂⠀⠰⠄⠗⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠸⢿⣿⣿⣟⣊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⡀⠊⠀⡌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣄⣀⡀⠀⠀⠀⠉⠉⠛⠻⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠸⣄⠀⠀⠀⣾⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⣠⡆⠀⠂⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠻⠟⠛⠻⠛⠛⡛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠀⣒⣒⡒⣒⡐⠂⢀⣆⣈⣁⣀⣀⣀⣀⣀⣀⣀⣀⣈⣁⣘⣃⣀⡀⣀⣉⣀⡀⠀⠀⢀⣀⣀⣀⣀⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠠⣤⢤⣤⣤⠀⠀⢸⡟⠉⢉⠉⣉⠉⡉⡉⢉⡉⠉⠉⢉⠉⠉⠉⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡷⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠘⣙⡛⠛⠛⠙⠈⠀⡷⢀⢟⡄⢻⣇⠸⣵⠸⣟⡈⣗⠈⣇⡀⣦⡄⣦⡔⣴⡄⢺⡆⢲⡆⢲⠀⣀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣅⠀⢹⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠺⠯⠽⠥⠬⠩⠉⠁⢻⠈⢸⡇⠸⠯⠀⠿⠀⠿⠁⢹⠃⠸⠇⠘⠃⠘⠃⠈⠁⠈⠀⠈⠁⠈⠀⠉⠀⢸⣿⣿⣿⣿⣿⣿⣿⡆⡈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠻⣿⢋⣷⣬⠛⠛⠛
⠉⠛⠋⠀⢠⠀⠀⠀⠐⣂⠀⠀⠀⠀⠀⢸⣀⣀⣀⣀⣀⣀⣀⡀⠀⠠⠄⠠⠤⠤⠤⠤⠤⠤⠤⠀⠀⠀⠀⠒⠒⠒⡀⡴⢱⣿⣿⠿⣏⣹⠀⣿⣴⠈⠈⠀⠀⠀⠀⢀⣾⣿⠿⠟⣛⢛⠋⠋⡇⡄⠀⡿⠾⠿⢓⠆⠃⠀
⠀⠼⠇⢾⡿⣤⣿⣴⣿⣿⣿⠦⠀⢠⣿⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⡀⠰⡆⠰⡆⢴⣦⣴⣦⣸⢠⣴⡎⢿⡷⠀⠘⠋⢰⣥⣤⡄⠀⠀⡀⣀⡂⠸⠯⠤⠀⠻⢻⣿⣿⣯⠀⠃⢰⣫⣵⣆⣾⠆⠀⠀
⠀⠙⠀⠀⠙⣿⣷⣼⣿⣿⣿⡀⢀⢺⡿⠟⢠⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠘⣿⣿⣛⣿⠀⠻⢿⣶⣇⡀⠀⠀⠀⣿⣿⡇⠀⠀⠀⣤⠐⣀⣸⣿⠉⣷⣿⢿⣛⠛⠀⠀⠁⣿⣿⣾⡟⠀⠀⠀
⠈⠉⠉⠁⠀⣿⠿⣿⣿⣿⣿⠤⣾⣿⡃⢀⠀⠀⣀⣀⣠⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⢀⡀⠀⣸⢿⣿⣿⡂⠀⠀⠙⢿⣷⣄⠀⡀⣾⡟⠀⠀⠀⠸⠋⢈⣾⣿⡇⠀⣿⡿⣾⣿⣿⡇⠀⠀⣿⣿⡿⠀⠀⡀⠀
⠢⠈⠻⣶⣶⡤⠀⠀⠉⠽⣿⣇⣿⠟⣁⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣷⣶⣿⣏⡀⠀⠀⠀⠐⠀⠚⠿⠿⠁⠀⢿⠷⠿⢿⠽⡇⠀⠀⣿⣿⠃⠀⠀⠀⠀
⠀⠀⠀⣶⣶⡆⠀⠀⠀⠀⣯⣿⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣤⣤⣤⣤⣤⣬⣭⣽⣿⣿⣿⣿⣿⣟⣟⡛⠛⣯⣭⣽⠃⠀⠀⠀⡄⠀⠀⠀⠀⠐⠲⠶⠿⠶⣶⣶⠴⠶⠦⠤⠶⠖⠀⠀⠀⠀⠀
⡀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⠉⢹⣷⣶⡀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠛⠒⠀⠀⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢿⣆⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠹⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡆⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀
⠆⠈⠠⠤⠄⠀⠀⠀⠀⢸⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⣿⣻⠛⢋⣤⣀⡀⠁⠉⠉⠉⠁⠀⠈⠁⠀⠀⠈⠉⠁⠀⠀⠀⠤⣤⣤⣤⠄⠤⠤⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣧⣠⠀⠀⠀⣋⣐⣦⣞⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⠀⢀⣀⠿⠟⠙⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡿⣿⡿⣝⡻⣿⣿⣿⣿⣿⣤⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣭⣬⣭⣥⣿⣽⣿⣿⣿⣿⣛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⢿⡟⣿⠁⠀⠀⠀⢲⡿⠋⠀⠐⣄⡀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣾⣍⠻⣦⡝⢽⣿⣿⡿⠟⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠑⠛⠻⢿⣿⣿⣿⣿⣿⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⠐⠢⣠⣀⠈⢙⣣⢆⣠⣄⣤⡴⣄⡢⠠⢀⣀⣀⣠⣤⣄⣀
⣮⡙⢟⠦⠙⠆⢻⣿⣤⣴⣶⣾⣿⣟⣻⣿⣿⣿⣿⣿⣿⣯⡀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠲⠶⢿⡟⠛⠩⠵⢿⣿⣿⣧⢛⣴⠈⠀⠸⡙⡛⢻⣟⣿⣿
⠻⠉⠀⠀⡴⠀⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⡒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣶⣦⣶⣾⣿⣽⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⡀⠊⠀⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣤⣀⣀⡀⠀⠀⠀⠉⠉⠛⠻⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢱⡄⠀⠀⢠⣾⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣴⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⣠⡆⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠱⠿⠛⠻⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠀⣒⣒⡒⣒⡐⠂⢀⣆⣈⣉⣀⣀⣀⣀⣁⣀⣈⣀⣈⣁⣘⣃⣀⠀⢀⠉⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠠⣤⢤⣤⡤⠀⠀⢸⡏⠉⢉⠉⣉⠉⡉⡉⣉⡉⠉⠉⢉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⢸⡷⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠘⣙⡛⠛⠛⠙⠈⠀⡇⢀⢟⡆⢻⡇⠸⣵⠘⣿⡈⣗⠈⣧⡀⣦⡄⣦⡔⣴⡄⢲⡆⢲⡆⢶⠀⣀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⠀⢹⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠻⠯⠽⠥⠬⠩⠉⠁⣷⠈⢸⡇⠸⠯⠀⠿⠀⠿⠁⢻⡇⠸⠇⠘⠃⠘⠃⠈⠁⠈⠁⠈⠁⠈⠀⠋⠀⢸⣿⣿⣿⣿⣿⣿⣿⡆⡈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡟⢻⣿⣛⣶⣌⠛⠛⠛
⠉⠹⠍⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⢀⢨⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠠⠤⠤⠤⠤⠤⠤⠤⠤⠀⠀⠀⠀⠒⠒⡀⡤⢱⣿⣿⠿⣏⡋⠈⣿⣤⠈⠈⠉⠉⠁⠈⢉⣿⣿⠿⠛⢛⢛⠋⠋⡇⡁⠀⡿⠾⠿⢓⠆⠇⠀
⠀⠼⠇⢰⣼⣀⣦⣠⣶⣿⣿⡶⠆⠀⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⠀⢰⡄⠰⡆⢴⣦⣴⣦⣸⢂⣴⡆⢿⣷⠀⠙⠋⢠⣥⣤⡄⠀⠀⡀⣀⠂⠸⠯⠁⠀⠻⢻⣿⣿⣯⠀⠃⢰⣳⣵⣆⣾⠆⠀⠀
⠀⠉⠀⠘⠫⣿⣿⣁⣿⣿⣿⡇⢠⣼⡴⢇⢀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠘⣿⣿⣛⣿⠀⠻⢿⣮⣇⡀⠀⠀⠀⣿⣿⡇⠀⠀⡀⣤⠀⡀⣰⣿⠁⣷⣾⢿⣛⠛⠀⠀⠁⣿⣿⣾⡟⠀⠀⠀
⠉⠉⠍⠁⠀⣿⣿⣿⣿⣿⣿⡇⠉⢿⣓⣼⠀⠀⣀⣀⣠⣤⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⢀⡀⠀⣸⠿⣿⣿⡆⠀⠀⠙⢿⣷⣄⠀⡀⣿⡟⠀⠀⠀⠸⠋⢨⣿⣿⡇⠀⣿⡿⣾⣿⣿⠇⠀⠀⣿⣿⡿⠀⠀⠀⠀
⠃⠀⢻⣤⣤⣀⠀⠀⠙⠟⢿⣿⢨⡿⣁⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣷⣿⣷⣶⣿⣏⡀⠀⠀⠀⠐⠀⠛⠿⠿⠁⠀⢿⡿⠿⢿⠿⡇⠀⠀⣿⣿⠃⠀⠀⠀⠀
⠃⠀⠈⣿⣿⡇⠀⠀⠀⠀⣿⣿⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣤⣤⣥⣥⣤⣤⣽⣽⣿⣿⣿⣿⣿⣟⣟⠛⠛⣽⣭⣹⠃⠀⠀⠀⡄⠀⠀⠀⠀⠐⠲⠶⠾⠶⣶⣶⠴⠶⠤⠤⠶⠖⠀⠀⠀⠀⠀
⡀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣎⠉⢹⣷⣶⡀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠓⠒⠀⠀⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣂⠀⠀⠀⠀⠀⠀⠀⣸⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡦⠀⠹⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡆⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀
⠆⠈⠀⠤⠀⠀⠀⠀⠀⣿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⣿⣛⠟⢋⣥⣀⡀⠁⠈⠉⠉⠉⠀⠈⠁⠀⠀⠈⠉⠁⠀⠀⠀⡠⣤⣤⣤⡄⠤⠄⠀⠁⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣧⣄⠀⠀⠀⣉⣐⣶⣞⠔⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⡿⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⠀⢀⣀⠿⠛⠛⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⡿⣝⡿⣿⣿⣿⣿⣯⡴⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣭⣬⣉⣥⣽⣽⣿⣿⣿⣿⡛⠛⠿⠿⠹⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⢿⡟⣿⠁⠀⠀⠀⢰⡿⠋⠁⠰⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣟⠻⣦⡕⢽⣿⣿⡿⠟⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⠏⠋⠛⠛⠿⣿⣿⣿⣿⣿⡿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⠘⠢⣤⡀⠈⢙⣣⣤⣀⣀⣶⣴⢤⢀⣤⣄⣀⣀⣀⣤⣄⣀
⣮⡙⠟⠦⠹⠎⢿⣿⣤⣴⣶⣾⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠲⠶⢿⣿⡛⢡⠼⢿⣿⣿⣿⢯⣼⠺⢿⢅⣟⢛⣟⣿⣿⣿
⠻⠙⠀⠀⡡⡐⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠺⣿⣿⣿⣟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢸⣶⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⡀⠊⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣀⣀⠀⠀⠀⠈⠉⠙⠛⠷⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢱⡄⠀⠀⢠⡾⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠈⠀⠀⣰⡆⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠻⠟⠛⠻⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠀⣒⣒⡒⣒⡐⠒⢀⣆⣈⣉⣀⣀⣀⡀⣁⣀⠈⣀⡈⢁⡘⠃⡀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠠⣤⢤⣤⣤⠀⠀⢸⡟⠉⢉⠉⣉⠉⡉⡉⢉⡉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠹⡷⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠘⣙⡛⠛⠋⠙⠈⠀⡇⢀⢟⡆⢻⣇⠸⣵⠸⣿⠈⡗⠈⣇⡀⣦⡄⣦⡔⣴⡄⢲⡆⢲⡆⢴⠀⣀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⠀⢻⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠾⠯⠽⠥⠬⠩⠉⠁⣿⠈⢸⡃⠸⠯⠀⠿⠀⠿⠁⢻⡃⠸⠇⠘⠃⠘⠃⠘⠃⠈⠁⠈⠁⠈⠀⠋⠀⢸⣿⣿⣿⣿⣿⣿⣿⡄⡈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⢾⣿⣛⣶⣌⠻⠛⠛
⠉⠻⠏⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⣀⣸⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠤⠤⠤⠤⠤⠤⠤⠤⠠⠀⠀⠀⠒⡀⡤⢽⣿⣿⡿⣏⡉⠉⣿⣤⠉⠈⠉⠉⠉⠉⢉⣿⣿⠿⠛⢛⠛⠛⠛⡇⡀⠀⡿⣾⣿⢃⠄⠇⠀
⠀⠼⠦⢀⣰⠀⣄⢀⣴⣾⣿⣷⠦⠀⢻⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⠀⢰⡄⢰⡆⢴⣦⣰⣦⣸⢐⣤⡎⢿⣯⠀⠉⠃⢠⣗⣂⡄⠀⠀⠀⣀⡀⠸⠏⠁⠀⠻⢻⣿⣿⣯⠁⠃⢰⣧⣭⣆⣾⡄⠀⠀
⠀⠻⠀⠸⣟⣶⣾⠟⣿⣿⣿⡟⡁⢿⠈⢱⢠⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠘⣿⣿⢛⣿⠈⠻⣿⣮⣇⠀⠀⠀⠀⣿⣿⡇⠀⠀⡀⣤⠄⡀⣰⣾⠁⣶⣾⣿⡛⠟⠀⠀⠁⣿⣿⣾⡟⠀⡀⠀
⠉⠉⠩⠁⠀⢹⣿⣿⣿⣿⣿⣿⡄⣽⢓⣼⠀⠀⣀⣀⣠⣠⣤⣄⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⢀⡀⠀⠸⠿⣿⣿⠆⠀⠀⠙⢿⣷⣄⠀⡀⣾⡟⠀⠀⠀⠸⢋⢜⣿⣿⡇⠀⣿⡿⣾⣿⣿⡇⠀⠀⣿⣿⡿⠁⠀⠀⠀
⠰⠆⠘⣀⣀⠈⠛⠉⠙⠛⢻⣿⡇⡿⣃⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣶⣿⣯⣶⣿⣏⠀⠀⠀⠀⠀⠐⠞⠿⠿⠃⠀⢿⡷⠿⣿⠿⡇⠀⠀⣿⣿⠃⢀⠀⠀⠀
⠁⠀⠠⣿⣿⣿⠆⠀⠀⠀⣸⣟⣃⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣤⣀⣤⣤⣴⣿⣿⣿⣿⣿⣿⣿⣟⣟⠛⠛⣯⣥⡹⠃⠉⠀⠀⡄⠀⠀⠀⠀⠠⠲⠶⠿⣶⣶⣶⣦⡶⠤⠤⠿⠵⠀⠀⠀⠀⠀
⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣏⠉⢹⣶⣶⡀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠒⠒⠀⠀⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢿⣂⠀⠀⠀⠀⠀⠀⠀⣸⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠹⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⡤⡆⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀
⠆⠈⠀⠤⠀⠀⠀⠀⠀⣿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⣿⣟⠛⢋⣥⣀⡈⠁⠉⠉⠉⠉⠉⠉⠁⠀⠀⠈⠉⠁⠀⠀⠀⣠⣤⣤⣤⡄⠤⣄⠀⠁⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣧⡄⠀⠀⠀⢉⣐⣢⣏⠄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⠀⢀⡀⠿⠛⠛⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢿⢿⡿⣝⡿⣿⣿⣿⣿⣿⣴⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣭⣬⣭⣡⣽⣽⣿⣿⣿⣿⣛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⢿⡟⣿⠁⠀⠀⠀⢹⡿⠛⠀⠒⡀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣟⠻⣦⡕⢿⣿⡿⠿⠿⠛⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⠟⠿⠛⠻⢿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⠈⠠⣤⡀⠈⠙⣣⣤⣀⣀⣂⢤⣆⣄⣀⢀⠀⠀⣠⣤⣄⣀
⣮⡙⠟⠦⠹⢎⢿⣷⣶⣶⣶⣾⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⡄⡀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠲⠾⢿⣿⠛⠙⠷⣿⣿⣿⣏⣿⢉⠞⡃⠝⡛⢟⢟⣻⣿⣿
⠻⠙⠀⠀⢥⡀⠞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠃⠀⠀⠀⠀⠺⣿⣿⣿⣟⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢱⣶⣤⣤⣼⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿
⠀⠀⠀⠀⡀⠋⠀⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣤⣀⡀⠀⠀⠀⠈⠉⠙⠛⠷⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢱⡄⠀⠁⢠⡾⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣠⣤⣤⣤⣤⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠈⠀⠀⣠⡄⠁⠁⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠱⠟⠛⠻⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠀⣒⣒⡒⣒⡐⠂⢀⣆⣈⣉⣀⢀⡀⠀⠁⠀⠈⠀⠈⠁⠘⠃⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠠⣤⢤⣤⣤⠀⠀⢸⣿⠉⢉⠉⣉⠉⡉⡉⢉⡉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠹⡷⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠘⣙⡛⠛⠛⠙⠈⠀⣿⢀⢏⡄⢻⣇⠸⣳⠘⣿⡈⡗⠈⣗⡠⢦⡄⣦⡄⢠⡄⢰⡆⢰⡄⢴⠀⣀⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⠀⢻⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠾⠯⠽⠥⠬⠩⠉⠁⢻⠈⢸⡃⢸⡿⠀⠿⠀⠽⠇⢹⡇⠸⠇⠘⠃⠘⠃⠘⠃⠈⠁⠈⠁⠈⠁⠉⠀⢸⣿⣿⣿⣿⣿⣿⣿⡄⡈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠶⣿⣛⣶⣜⠻⠟⠻
⠉⠹⠋⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⣀⣸⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠠⠄⠤⠤⠤⠤⠤⠤⠤⠀⠀⠀⠀⡀⡤⢽⣿⣿⠿⡏⡩⠉⣿⣵⠉⠉⠉⠉⠉⠉⠉⣿⣿⠿⠿⠛⠛⠛⠟⡇⡀⠀⡿⣺⣿⢃⡄⠇⠀
⠀⠼⠇⠀⢠⠀⡀⠀⣤⣶⣶⣷⠶⠀⢿⡛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⠀⢰⡄⢰⡄⢴⣆⣠⣦⣸⠁⣥⡎⢿⣯⠀⠙⠟⢠⣗⣋⡄⠀⠀⠀⡀⡀⢸⡏⠁⠀⠻⢿⣾⣿⣯⠁⠃⢠⣇⣮⣆⣾⡄⠀⠀
⠀⠚⠀⢸⡿⣤⣿⡖⣿⣿⣿⣿⠁⣲⠀⢸⢠⠁⠀⠀⠀⠀⠁⠀⠀⠀⠀⠐⠀⠀⠀⠈⠀⠀⠀⠀⠀⠘⣿⣿⢛⣿⠂⠻⣿⣮⡇⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⣤⡀⠀⣲⣶⠃⣶⣾⣿⠛⠿⠀⠀⠁⣿⣿⣾⡿⠀⠀⠀
⠉⠉⠩⠁⠈⢻⣿⣶⣿⣿⣿⣿⡤⣿⡗⣼⠈⠀⣀⣀⣀⣠⣤⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⡀⠀⡸⠿⣿⣿⠇⠀⠀⠙⢿⣷⣄⠀⡀⣽⡟⠀⠀⠀⠸⢏⢴⣿⣿⡏⠀⣿⣿⣾⣿⣿⡇⠀⠀⣿⣿⣿⠁⠀⠀⠀
⠠⠿⡟⠀⠀⠈⠿⠿⠛⠘⢿⣿⣿⡿⣃⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣾⣷⣶⣿⣯⣤⣿⣏⠀⠀⠀⠀⠐⠀⠾⠿⡿⠄⠀⢿⡷⡿⡿⠿⡇⠀⠀⣿⣿⠇⢀⠀⠀⠀
⠁⠀⠠⣴⣿⣿⣶⣤⠀⠀⢸⣟⢋⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣬⣤⣄⣀⣠⣤⣤⣿⣿⣿⣿⣿⣿⣿⣟⣻⠿⠛⣿⣭⡹⠏⠉⠀⠀⡀⠀⠀⠀⠀⠠⠲⠤⢾⣤⣶⣶⣦⡤⠤⠤⠥⠤⠀⠀⠀⠀⠀
⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣯⠉⢹⣶⣶⡀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠒⠒⠀⠀⠦⠀⠒⠒⠀⠀⠀⠀⠀⠀⠀
⢿⣂⠀⠀⠀⠀⠀⠀⠀⣸⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠻⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠄⠀⠀⠶⠀⠀⠀⠀⠀⠀⠀⠀
⠆⠉⠀⠤⠀⠀⠀⠀⠐⣿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⣿⣟⠟⢋⣥⣉⡁⠉⠉⠉⠉⠉⠉⠉⠈⠀⠀⠉⠋⠁⠀⠀⠀⣠⣤⣤⣤⡀⠤⣄⠀⠁⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣧⡀⠀⠀⠀⢉⣒⣠⣇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣟⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⠀⢀⠀⠾⠛⠛⢓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⡿⣕⣿⣿⣿⣿⣿⣿⣴⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣬⣭⣥⣽⣽⣿⣿⣿⣿⣛⠛⠿⠿⠹⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⢿⡟⣿⠁⠀⠀⠀⢹⡿⠟⠀⠠⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣟⠻⣮⡑⢽⣿⣿⠿⠿⠟⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠗⠋⠿⢿⣿⣿⣿⣿⣿⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⠘⠀⣀⡀⠈⠙⣦⣀⣀⣀⣤⣤⣤⣄⡠⠀⠀⠀⣀⣠⣀⣀
⣮⡙⠟⠊⠹⠎⢿⣿⣶⣶⣶⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⡿⣧⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠶⢾⢿⡿⠛⢉⣽⣿⣿⣿⡟⣟⣗⠓⡸⡙⠛⠻⠛⣿⣿⣿
⠛⠙⠀⠀⠤⠀⠞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢹⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣦⣤⣤⣼⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⡀⠋⠀⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⠀⠀⠀⠈⠉⠛⠛⠿⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣾⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢳⡄⠀⠁⢠⡾⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⣶⣶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣄⣀⣠⣤⣤⣤⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠈⠁⠀⣠⡄⠁⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠳⠟⠛⠻⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠀⣒⣒⡒⣒⡐⠒⢀⣆⠈⠉⠀⠀⠀⠀⠉⠀⠈⠀⠈⠁⠘⠃⠀⠀⠀⠉⠀⠈⠀⠀⠀⠀⠀⠀⠀⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢠⣤⢤⣤⡤⠀⠀⢨⣿⠉⢉⠉⣉⠉⠉⡉⢉⡉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢹⡧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠘⣙⡛⠓⠛⠙⠈⠀⣿⢠⠏⡄⢻⡇⠸⣵⠘⣿⡈⡗⠈⣧⠀⣤⡀⣦⡐⢠⡄⢰⡆⢰⡄⢴⠄⢀⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⠀⢻⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠾⠯⠽⠥⠭⠩⠉⠁⢹⠈⢸⡃⠘⡿⠀⠿⠀⠿⠇⢸⡇⢸⡇⠸⠇⠘⠃⠘⠃⠈⠁⠈⠁⠈⠁⠉⠀⠸⣿⣿⣿⣿⣿⣿⣿⡄⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠾⣿⡟⣶⣜⠻⠿⠿
⠉⠹⠋⠁⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⡀⢸⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠠⠤⠤⠤⠤⠤⠤⠤⠤⠀⠀⡀⡤⢼⣿⣿⠿⡏⢹⠉⣿⣵⠉⠉⠉⠉⠉⠉⠉⣿⣿⠿⠟⠻⠟⠟⠟⡇⡀⠀⣿⣺⣿⢏⡄⠆⠀
⠀⠼⠇⠀⢀⠀⠀⠀⣠⣴⣶⣶⠆⠸⡟⠺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⠀⢰⡄⢰⡄⢰⣆⣠⣆⢰⠅⣥⡎⢿⣯⠀⠉⡏⢠⣓⣋⡄⠀⠀⠀⡀⠀⢸⡏⠁⠀⠲⢿⣾⣿⣛⠁⠃⢠⢗⣦⣄⣾⡄⠀⠀
⠀⠚⠀⢰⣿⣤⣷⣴⣿⣿⣿⣟⡠⣶⠀⢸⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠉⠀⠀⠀⠀⠀⠈⣿⣿⣟⣿⠂⠻⣷⣮⣇⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⣤⢄⠀⢰⣶⠂⣶⣾⣿⠿⠿⠀⠀⠀⣿⣿⣼⡿⠀⠀⠀
⠈⠉⠭⠈⠑⠿⣯⣤⣿⣿⣿⣿⡄⣿⣧⣸⠈⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⣿⣿⡆⠀⠈⠙⢿⣷⣄⠀⡀⣿⡟⠀⠀⠀⠰⢟⢰⣷⣟⡉⠀⣿⣿⣼⣿⣿⡇⠀⠀⣿⣿⣿⠁⠀⠂⠀
⠠⠿⢿⠆⠀⠀⢿⣿⡿⠃⠛⣿⣧⠹⢋⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⣾⣷⣶⣿⣯⣥⣿⣏⠀⠀⠀⠀⠀⠀⠾⠿⠩⠀⠀⢿⡧⡿⡿⢿⡇⠀⠀⣿⣿⠇⠀⠀⠀⠀
⠁⠀⠠⣴⣤⡤⣴⣦⣤⣤⢀⣖⢛⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣬⣤⣀⣀⣈⣤⣤⣿⣿⣿⣿⣿⣿⣿⣟⡻⠿⠛⣯⣍⣻⠏⠉⠀⠀⡄⠀⠀⠀⠀⠠⠦⠤⣾⣤⣤⣼⣦⣤⡤⠤⠭⠤⠀⠀⠀⠀⠀
⡀⠀⠀⠀⠀⠀⠀⠉⠁⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣏⠉⢻⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠠⠒⠒⠒⠀⠀⠤⠂⠒⠒⠀⠀⠀⠀⠀⠀⠀
⢿⣂⠀⠀⠀⠀⠀⠀⠀⣸⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠻⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠄⠄⠀⠀⠶⠀⠀⠀⠀⠀⠀⠀⠀
⠆⠉⠀⠄⠀⠀⠀⠀⠀⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⢿⣿⣿⠛⢋⣤⣀⡉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠉⠋⠁⠀⠀⠀⣀⣀⣠⣤⡀⡄⣄⠀⠁⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣧⡀⠀⠀⠀⢉⣀⣠⣏⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⡿⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⠀⢀⠀⠾⠟⠛⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⣿⡿⣕⣿⣿⣿⣿⣿⣿⣤⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣭⣬⣩⣡⣽⣽⣿⣿⣿⣿⡛⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⢿⡟⣿⠁⠀⠀⠀⢱⡿⠟⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣟⠻⣮⡕⢽⣿⣿⡿⠿⠟⠂⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠓⠈⠛⢿⣿⣿⣿⣿⣿⡿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⠀⠄⣀⡀⠈⠛⣦⢀⣀⣀⣀⣤⡀⡀⠀⠀⠀⠀⠀⣀⣀⣀
⣎⡙⠟⠊⠹⠎⢿⣿⣶⣶⣶⣾⣿⣟⣻⣿⣿⣿⣿⣿⣿⡿⣀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠶⠶⣿⡿⠛⠙⢵⣽⣿⣿⡟⣌⡏⡑⡐⠀⠛⠛⢟⢿⣿⣿
⠛⠑⠀⠀⡥⠀⠎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⢸⣿⣿⣿⣟⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⣦⣤⣤⣼⣿⣿⣿⣷⣶⣾⣿⣷⣿⣿⣿⣿
⠀⠀⠀⠀⡀⠊⠀⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⡀⠀⠀⠀⠀⠉⠛⠻⠷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣷⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢱⡄⠀⠁⢠⡾⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣄⣀⣀⣤⣤⣤⣴⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠈⠁⠀⣠⡄⠑⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠹⠟⠛⠻⠓⢛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠀⣒⣒⡒⣒⡐⠒⢀⣆⠈⠋⠀⠀⠀⠈⠉⠀⠈⠁⠈⠃⠘⠃⠀⠀⠀⠉⠀⠈⠁⠀⠀⠀⠀⠀⠀⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠠⣤⠤⣤⡤⠀⠀⢨⣿⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢹⡧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠈⣝⡛⠛⠋⠙⠈⠀⣿⢀⠏⡆⢿⡇⠸⣳⠘⣿⠈⡗⠘⣦⠀⢠⡀⣤⡐⢠⡄⢰⡆⢰⡄⢤⡀⢀⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⠀⢻⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠾⠯⠽⠥⠭⠩⠉⠁⢻⠘⢘⡃⢘⡿⠀⢿⠀⢿⠇⢸⡇⢸⡇⠸⠇⠸⠇⠘⠃⠈⠁⠈⠁⠘⠁⠉⠀⢸⣿⣿⣿⣿⣿⣿⣿⡄⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠾⣿⡟⣦⣜⠿⠿⠿
⠉⠹⠏⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⢸⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠤⠤⠤⠤⠤⠤⠠⠀⡀⡤⢮⣿⣿⠿⡏⠉⠉⣿⣵⠉⠉⠉⠉⠉⠉⠉⣽⣿⠿⠿⠿⠿⠟⠟⡇⡀⠀⣿⣸⣿⢏⡄⠆⠀
⠀⠲⠆⠀⠀⠀⠀⠀⣠⣶⣶⣀⣰⣶⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⠀⢠⡄⢠⡄⣰⣄⣠⣆⣰⠑⣥⡎⣿⣯⠀⠘⡏⢠⣋⣋⡄⠀⠀⠀⡀⠁⢸⣍⣁⠀⢲⢿⣾⣷⣗⠁⠇⢠⢗⣦⡄⣼⡄⠀⠀
⠀⠞⠀⣤⡖⣤⣄⣾⣿⣿⣿⡏⣩⠹⠀⢸⢠⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠈⣿⣿⣟⣿⡎⠻⣿⣬⣇⠀⠀⠀⠀⣿⣿⡇⠀⠀⠁⣤⢤⠀⢰⣶⠂⣦⣾⣿⠟⠿⠀⠀⠀⣿⣿⣽⡿⠀⠀⠀
⠉⠉⠩⠿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣦⢸⢨⣀⣀⣤⣶⣶⣔⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡆⠀⠀⠸⣿⣧⡀⠀⠀⣵⡟⠀⠀⠀⢸⠟⠔⣷⣿⡏⠀⣿⣿⣼⣿⣿⡇⠀⠀⣿⣿⣿⠁⠀⠁⠀
⠠⠿⣷⠀⠀⠁⠸⣿⣿⡏⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣷⣶⣾⣶⣶⣿⣭⣤⣿⣏⠀⠀⠀⠀⠀⠀⠾⣿⡿⠃⠀⢿⣧⣿⡿⣿⡇⠀⠀⣿⣿⠇⠀⠀⠀⠀
⠀⠀⠠⣤⣤⡆⠀⠈⠻⣤⣶⣄⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣬⣅⣉⣀⣁⣁⣬⣿⣿⣿⣿⣿⣿⣿⣟⡻⠿⠿⣿⣟⡻⠏⠁⠀⠀⡄⠀⠀⠀⠀⠠⠤⣤⣿⣤⣤⣬⣡⣥⣄⣤⡭⠭⠀⠀⠀⠀⠀
⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣏⠉⢻⣶⣤⠀⠀⠁⠀⠀⠀⠀⠀⠠⠶⠶⠶⠀⠀⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣂⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠻⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⠄⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀
⠆⠉⠀⣀⠀⠀⠀⠀⠀⣾⢿⣿⣿⣿⡿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣽⣻⣿⣿⣿⣿⣿⣿⣿⣟⠛⢋⣥⣁⡉⠉⠉⠉⠉⠉⠉⠋⠋⠁⠀⠙⠛⠁⠀⠀⠀⢀⣤⣠⣄⡀⣤⣀⠈⠁⠀⠀⠶⠀⠀⠀⠀⠀⠀⠀⠀
⣾⣧⡀⠀⠀⠀⢉⣐⣒⣿⠀⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⣶⣄⣤⣤⡀⠀⠀⠀⠀⠀⠀⠼⠿⠿⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢿⣿⡯⣕⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣭⣬⣭⣥⣽⣿⣿⣿⣿⣿⣟⠛⠿⠿⠸⠇⠿⢸⣿⡿⣿⣹⡿⣿⣸⢿⡟⣿⠁⠀⠀⠀⢴⣿⠟⠀⠠⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣟⠳⣮⡑⢿⣿⣿⡿⠿⠿⠇⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠻⣿⣿⣿⣿⣿⣿⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⠐⠄⣀⠀⠘⠛⢢⡀⣀⡠⡀⣀⣀⣀⢀⠀⠀⠀⣀⣀⡀⠀
⣌⠻⢗⠌⠻⢌⢿⣿⣶⣶⣶⣾⣿⣟⣿⣿⣿⣿⣿⣿⣿⡿⠏⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠲⢶⣿⡿⠿⢊⢹⣿⣿⣿⣿⢅⣝⢠⠄⠽⠛⠛⡻⣿⣿⣿
⠿⠑⠀⠀⠡⠈⠚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠄⠀⠀⠀⠀⢼⣿⣿⣿⡛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⢠⣤⣤⣭⣽⣿⣾⣿⣶⣷⣶⣷⣿⣾⣿⣿⣿
⠀⠀⠀⠀⠀⠃⠀⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⠀⠀⠀⠀⠉⠉⠛⠻⠿⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣷⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢳⡀⠀⠁⢀⡾⠑⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣤⣤⣤⣤⣤⣄⣀⣀⣄⣀⣀⣀⣠⣤⣤⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠈⠁⠀⣠⡄⠁⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠳⠟⠛⠻⠓⢛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠀⣐⠂⡒⢒⠐⠂⠀⡄⠈⠃⠀⠀⠀⠀⠁⠀⠈⠀⠈⠁⠐⠂⠀⠀⠀⠉⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠀⢠⠤⣤⡤⠀⠀⢸⣯⠉⠉⠉⢉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⡤⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣱⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠀⠙⠃⠃⠉⠉⠀⠀⡧⠀⡟⡌⢻⡇⢹⣡⠀⣰⠀⠀⠀⠀⠀⢀⡀⣀⡀⢠⡄⢰⡄⢰⠀⢤⠀⢀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⢻⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⠺⠯⠭⠥⠬⠩⠉⠁⠇⠈⢻⡃⢹⣿⠰⣿⠀⠿⠀⢻⠂⢸⠃⠸⠃⠘⠃⠘⠂⠈⠁⠈⠁⠈⠀⠉⠀⢸⣿⣿⣿⣿⣿⣿⣯⡄⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠶⢶⣿⠋⣤⣜⠿⠿⠿
⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢨⣿⣿⠻⡏⠉⠉⡏⣀⠉⠉⠉⠉⠉⠉⠉⣭⣽⠭⠛⠛⠛⠛⠛⡀⠀⠀⡻⠘⠻⠁⠀⠀⠀
⠀⠐⠀⠀⠀⠀⠀⢀⣤⣤⡀⠀⣀⡀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣄⠀⢠⡄⢠⡄⣠⣄⣀⣄⢠⠀⠀⠈⣿⡏⠀⠈⠁⠠⣁⣁⠀⠀⠀⠀⠀⠀⠀⡉⠁⠀⠲⢛⣚⢀⠂⠁⠃⢠⢆⡠⠀⣴⡄⠀⠀
⠀⠀⢀⠀⠀⠀⣀⣾⣿⡿⠷⢿⢿⠷⠀⢸⢀⠀⠀⠀⠀⠈⠃⠈⡗⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠘⠹⣿⣿⣟⣽⠀⠗⢧⣈⡁⠀⠀⠀⠀⠿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣘⢈⠏⠿⠀⠀⠀⣿⢇⣼⡟⠀⠀⠀
⠀⠀⢸⣮⣼⣿⡿⣿⣿⠇⣠⣄⣴⣷⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢀⣿⣿⣿⣿⡄⠀⠀⠙⣷⣦⡀⠀⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⣼⢻⣷⠆⠀⠀⣿⣾⡿⠀⠀⠀⠀
⠠⢶⣶⠈⠙⠉⢵⣿⠏⠀⢹⣿⣿⣿⠟⠛⣀⣀⣀⣀⠤⠤⠤⠤⠤⠤⠴⠖⡒⠒⠒⠒⠒⣒⣛⣿⣿⣿⣿⣻⣿⣿⣷⣶⣶⣶⣤⣽⣍⣄⣳⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡅⡟⠺⠡⠆⠀⠀⢻⣿⠃⠀⠀⠀⠀
⠀⠀⢤⣤⣤⡄⠈⠂⠀⠸⣿⣿⣷⣄⠀⢻⣿⢠⣶⣿⣿⣿⣿⣤⣐⠀⠿⠄⠃⢠⣶⣘⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⡿⢏⡉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⣄⣤⣤⣤⣄⠀⡅⠀⠀⠤⠤⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⡆⠀⠙⣾⣿⣿⣾⣿⣿⣿⣿⣷⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⣡⣠⣄⠀⠀⠘⠛⣷⢀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠠⠲⠶⠶⠀⠀⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣂⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⢻⢯⣤⡄⠀⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⡿⠿⠿⠷⢿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢤⣤⡄⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀
⠎⠉⢀⣀⠀⠀⠀⠀⠀⣼⡿⠛⢸⢸⡷⢼⣏⣿⣾⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⣿⣿⢟⣿⣛⡙⠛⠛⠛⠛⡃⠄⠀⠀⠈⢻⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣌⣉⠁⠀⠠⠶⠀⠀⠀⠀⠀⠀⠀⠀
⣖⡷⠦⠀⠀⢰⣷⣶⣶⣾⡇⠀⢶⣿⠷⠺⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⢶⡄⣤⣤⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠁⠀⠆⠀⢻⣿⣿⣿⣿⣿⣷⣶⣾⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⠇⠿⢸⣿⡿⣿⣹⡟⣿⣸⢿⡟⣿⠀⠀⠀⢸⣷⣿⠗⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠀⠉⠀⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠙⠛⠛⠻⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⣒⢂⡀⡀⠀⢀⣀⡀⠀⠀⢒⣒
⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣶⣤⣤⣤⣶⣿⣿⡿⢿⣛⣿⣭⣿⣧⣦⣦⣄⣀⣘⣛
⠀⢂⡀⠀⠀⢀⡆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣦⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣽⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠈⠀⠀⣀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠀⠞⠉⠛⠃⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠀⣐⢒⡒⣒⠐⠂⠀⡄⠀⠃⠀⠀⠀⠀⠁⠀⠈⠀⠈⠁⠐⠂⠀⠀⠀⠉⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠀⢠⠤⣤⡤⠀⠀⢨⣯⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠉⠹⡤⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣱⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠀⢙⡁⠃⠉⠉⠀⠀⣇⢀⡟⡀⢨⡂⠘⣠⠀⣔⠀⠀⠀⠀⠀⢀⡀⣀⡀⢠⡄⢰⡄⢰⠄⢤⠀⢀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⠀⢛⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣯⠺⠯⠭⠥⠬⠩⠉⠁⠟⠈⢸⡃⢘⡟⠀⠿⠀⠻⠁⢺⠃⠸⠃⠸⠃⠘⠃⠘⠃⠈⠁⠈⠁⠈⠀⠈⠀⠸⣿⣿⣿⣿⣿⣿⣯⡄⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠷⠶⣷⢋⣶⣌⠻⠟⠛
⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⢀⢀⣀⣀⣀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢌⣿⣟⠹⡏⠉⠉⣟⣤⠉⠉⠉⠉⠉⠉⠉⣽⣿⠯⠛⠛⠛⠛⠛⡄⠀⠀⡻⠘⠛⠃⠀⠀⠀
⠀⠐⠂⠀⠀⠀⠀⠀⠠⠀⠀⠀⡀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⢠⡄⢠⡄⢠⣄⣀⣄⣠⠥⠃⠘⣿⣯⠀⠁⠆⠀⣁⣁⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠲⢛⣚⢀⢃⠁⠃⠠⢆⡠⠀⣼⡄⠀⠀
⠀⠀⢠⢤⠀⢀⣴⣿⣷⣄⣴⣿⠋⠰⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠈⣿⣾⣟⣿⠀⡆⣄⠘⠃⠀⠀⠀⠀⠿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢁⠊⠟⠀⠀⠀⣯⠇⣼⡟⠀⠀⠀
⠀⠲⣿⣿⣲⣿⣿⣿⠋⠛⠋⣩⣽⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⠀⠀⠀⠀⢠⣀⠀⠀⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⣼⢻⣿⡇⠀⠀⣿⣾⡿⠀⠀⠀⠀
⠀⣶⣶⠎⠙⠹⣿⣷⡆⠲⣾⣿⣿⣿⠃⠀⣀⡀⠀⠀⠀⠤⠤⠤⠤⠤⠤⠖⡒⠒⠒⠒⠒⣻⡉⣩⣧⣽⣯⣍⣿⣿⣦⣤⣤⣤⣈⣿⠗⠀⣰⡍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡅⠟⠺⠫⠆⠀⠀⢻⣿⠃⠀⠀⠀⠀
⡂⠀⢶⣤⣤⡄⠈⠈⠰⣶⣿⣿⡟⣿⣾⣻⡇⠀⣠⠂⠀⠀⠀⣀⠀⠀⠻⠆⣿⣴⣶⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠄⠀⣤⣶⡔⠀⠀⠀⠠⠤⠤⢤⣤⣤⣄⡠⠄⠀⠀⠤⠤⠀⠀⠀⠀⠀
⣧⡀⠀⠉⠀⠀⠀⠀⠀⢈⣿⣿⣿⣿⣿⣷⡅⠀⠙⡀⠀⠰⠀⠻⣷⠂⠰⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⣿⣦⡁⠀⠀⠀⠈⠛⠁⠀⠀⠀⠀⠰⠒⠒⠒⠀⠀⠤⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣶⢶⠀⠀⠀⠀⠀⢨⣿⣿⢻⣯⣥⡄⠀⠀⠀⠘⠦⠤⠀⠼⠏⠀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣧⣦⣦⣿⣿⣷⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⣤⣦⠀⠀⠶⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣟⣠⣤⣤⡀⠀⠀⢾⠛⠁⠸⢸⡷⢼⣇⣿⣾⡶⣴⢶⣦⣶⣶⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⡀⠀⠀⠉⠉⠉⠙⠹⠿⢿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣉⡉⠀⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀
⡜⠿⠿⣿⣿⣿⣿⣿⣿⣏⠀⠀⣶⡾⠷⠺⣿⣿⣿⣇⣿⣾⢿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⡟⣿⠱⣿⣷⣿⣿⣿⣴⢶⡄⣤⣬⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠉⠀⠀⠈⢻⣿⣿⣿⣿⣿⡄⠀⣿⣧⣤⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⠛⠿⠿⣸⢇⣿⣸⣿⡿⣿⣹⡿⣿⣸⢿⡟⣿⠀⠀⠐⢶⣤⣴⡶⠀⢀⣀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⢺⣿⣿⣿⣿⣿⣿⣶⡄⠀⠀⠀⠁⠈⠁⠉⠀⠀⠀⠘⠟⠋⠀⠀⠀⠘⠗⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡙⠁⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⣀⣠⣾⣿⣿⣿⣿⣿⣟⣀⣀⣀⣀⣤⣦⣴⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⠑⠒⢀⡀⠀⢀⢀⡠⠀⠀⣐⣀
⠀⠀⠀⠀⠀⠀⠀⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣄⣀⣠⣤⣤⣴⣤⣤⣤⣤⣶⡿⣿⣿⣛⣿⣿⣯⣤⣴⣶⣤⣄⣈⡛
⠀⠐⡀⠀⠀⠀⡴⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠁⠀⣀⠄⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠛⠀⠞⠉⠛⠃⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 4404

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/12/09/This_Week_We_Focus_Again_on_European_Patent_Office_EPO_Scandals.shtml
    Gemini version at https://techrights.org/n/2024/12/09/This_Week_We_Focus_Again_on_European_Patent_Office_EPO_Scandals.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ This Week We Focus Again on European Patent
Office (EPO) Scandals⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Dec 09, 2024


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


Get ready!


Nothing can stop us, not even a_party or SLAPP


WHEN we covered EPO scandals at_the_end_of_last_month we highlighted some
political aspect (e.g. "D&I: Gender-neutral language"), but this week we'll be
covering employment and patent aspects. Having begun this in-depth series in
the summer of 2014 (over a decade ago, no kidding!), we do not plan to stop or
slow down. I've been writing a lot about patents for well over 20 years.


The EPO still employs some very smart people; some of them become
whistleblowers, as they put morality first (ahead of immediate financial
comfort). They do not measure their "success" or "worth" (as people) based on
money. The EPO's corrupt regime has already cost many SMEs and people in Europe
their life savings if not more. The EPO's corrupt regime is a major contributor
to inequality worldwide, not just in Europe. The_illegal_patent_tribunals
merely serve to highlight_rotting_of_the_EU. If nothing gets done to rectify
things, there will be no EU left. It can collapse very quickly, just like the
leadership in France, Germany, South Korea, and now Syria.


Our first part or installment for this week shall commence later tonight. █




⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠘⠛⠛⠛⠿⢿⣿⣿⠟⡻⠿⠟⠁⠀⠉⠻⢿⣿⣿⣿⣿⣿⣠⣄⣤⣴⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠁⠈⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣶⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠉⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠻⠿⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⠟⠉⠣⠷⣿⣿⣿⣿⣿⣿⢿⢿⣿⣿⣿
⠠⡤⠀⠈⠻⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⡿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣖⢀⠀⠀⠀⠀⠊⣜⢻⠋⡋⠉⠉⢹⣿⣿⣿
⠀⠀⠀⠀⠀⠁⠐⠂⠀⠙⣿⣿⣿⣿⣿⣷⣦⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⢀⣶⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠈⡈⣧⠁⠉⠉⡟⠧⠤⢰⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠛⢿⣿⣿⣿⣿⣿⣿⣿⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣤⣶⣧⣶⣿⣿⣿⣿⣿⣿⣿⣿⠂⠀⠈⣿⣿⣿⣿⣿⡏⣻⣿⣿⣿⣿⡄⠀⠀⠀⠇⠀⠀⠀⢤⢀⠀⠐⢸⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡔⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⣀⣀⣀⣀⣀⣤⣶⣶⣾⣿⣿⡅⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⡀⢸⣿⡟⠉⠉⠁⣊⡛⠙⣿⠿⠀⠠⢁⠀⠀⠀⠀⠀⠂⠉⡠⡤⡜⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡀⢠⢴⣥⢵⣖⣄⢀⡀⠀⠀⠈⠀⠀⠀⠀⠀⢈⠃⡀⣠⣹⣿⣿⣿
⣦⣶⣤⣀⣴⣶⣾⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠁⠀⠰⠋⣁⣁⠉⠈⡄⠀⡆⠀⠀⠠⠠⠀⠀⠀⠨⠁⣜⣿⣷⣹⣿⣟
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⢇⠃⠀⡀⠡⡾⠃⠀⢀⣨⠀⡄⣄⡠⠀⠈⠎⡏⠋⠅⠛⠣
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⢾⠏⠟⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣷⡡⠀⠀⡴⠁⠠⢁⣦⣿⡆⠀⠉⣿⢿⣟⡎⠄⠂⠀⠀⠀⠀⠀⠈⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⢠⣀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢇⠀⣱⡄⠀⠀⠀⠰⠀⠞⢟⢿⠱⠀⡀⡘⣻⣝⣹⣧⣄⠄⡁⠀⣹⢎⡤⠆
⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣾⣿⣿⣾⣷⣶⣿⣿⠿⠿⠿⢛⣉⠉⠉⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⡿⣉⢳⡇⢠⣏⠄⠀⢿⣞⠢⠀⠉⠠⠀⠌⠻⠃⠁⠀⠰⠂⠝⢢⠄⠐
⠀⠀⠘⠿⠟⢻⣿⣿⡿⠟⠋⠛⠛⠛⠛⠉⠙⠛⠛⠿⠿⢿⡟⠒⢶⣿⣿⠛⠛⠋⠀⠠⣬⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⠿⣿⣿⣿⣿⡇⡰⠀⣠⣼⢹⢙⠀⠀⠈⢀⠀⣄⠀⠃⠴⠰⠿⣶⣷⠆⠇⠀⠀⠀⠋⡅
⠀⠀⠀⠀⠀⠀⠛⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠂⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⢛⠁⡀⠀⠈⢉⠹⠋⡛⠐⠛⢋⠁⣵⠀⠀⠀⠨⢻⡑⠂⠂⢨⣿⣯⡧⡂⡀⠀⠀⠀⠰⡠⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠁⠀⠉⠉⠉⠿⣿⣿⣷⣏⠈⠁⠀⠀⠀⠁⢪⠀⠀⠀⠐⠈⠊⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⡛⣭⣾⡆⠀⣠⡄⠈⠿⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡄⣠⣰⣼⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠨⠶⠙⢙⠤⠏⠈⠈⠂⡑⠐
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣾⣿⣿⣿⣿⡿⠁⠀⡀⢄⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⠄⠀⡌⠀⠁⠈⠀⠀⠀⠀⠉⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⡅⠠⠣⢀⠀⠀⠀⠀⠀⠀⠤⠀⠀⠠⠀⠀⠀⠀⠉⠁⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⡀⠀⠂⠀⠀⠀⡀⠀⠀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⡛⢿⠋⠉⠉⠋⠳⠳⡀⠀⡰⠄⡀⠁⠀⠀⠁⠀⠀⡀⠀⠀⡀⠀⠁⠀⠀⠀⠀⠠⢴⠸⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡦⢤⣴⣿⣷⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡠⡄⠐⠀⠀⠀⠀⠀⢧⠦⠐⢹⣶⣗⠠⠀⠀⢀⠀⠘⠀⠆⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠈⠀⠀⢄⣠⢥⣧⡀⠠⠁⠉⠳⠁⠁⠀⢀⠈⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠻⠿⠿⢿⣿⣿⣿⣿⣿⣿⡿⠋⠟⠉⣻⣿⣿⣿⣿⣿⡆⠄⠄⠀⠐⠂⢻⣿⣿⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⡀⣄⡀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⣻⠿⠛⠿⣿⡅⢁⢀⣠⡈⠀⠚⠙⢻⠟⠁⠀⠁⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⣴⠂⠀⠀⠀⠀⠀⠀⠀⠸⠿⣵⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣾⣿⣿⠄⠀⠀⠀⠀⠀⠺⡅⡀⠐⡟⠁⢸⣿⠋⠁⡅⠀⠀⠐⠀⠄⠐⠂⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⡀⠀⠀⠈⠀⡿⠉

                    ䷩ 𝚕𝚒𝚗𝚎 4481

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/12/09/Tunisia_is_Android_Windows_is_Waning_There.shtml
    Gemini version at https://techrights.org/n/2024/12/09/Tunisia_is_Android_Windows_is_Waning_There.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Tunisia is Android, Windows is Waning
There⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Dec 09, 2024


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


Tunisia is a small country, but it has a lot of impact on Europe.


In fact, yesterday I met a friend who had come back from Tunisia about a week
ago (it was an escape from the bad weather) and said it was nice and worth
vacationing in. Tunisia is one of Africa's "better off" economies, which causes
Tunisia some problems with immigration. However, we're not a political site, so
let's focus on the "tech" side of things.


Last year Windows_was_measured_below_20%_in_Tunisia (it happened_again_this
past_summer) and Android hovers around 60%.


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


Also revisit "GNU/Linux_Reaches_All-Time_High_in_Tunisia" and consider the
trends which propel Android to the top, bearing market share about 10 times
higher than that of iOS (Apple). At one_point_last_year "Desktop" was measured
at only 23% there. █




⣿⣛⣛⣻⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣻⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣷
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣭⣿⣿⣿⣿⣿⣷⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢾⣿⣿⣿⣿⣻
⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣻⣟⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣻⣿⣿⣿⡿⢿
⣿⣿⣿⣿⣏⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣍⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⣿⣿⣿⣿⣾⣿⣶⣿⣿⣿⣶⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⡿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣟⣿⣿⣿⣿⣿⣿⣯⣭⣭⣭⣭⣭⣭⣽⣯⣽⣯⣽⣾⣿⣿⣿⣿⣾⣿⣿⣭⣵⣿⣿⣛⠛⢿⣿⡯⠯⢿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢛⣿⣿⣿⡿⢯⣲⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⡿⠻
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡭⠹⢭⣛⣂⣽⣿⣿⣿⣿⣿⣿⣟⣻⣷⣿⣿⣿⣿⣿⣿⣯⣭⠵⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⡿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠖⠒⡚⠿⣿⣿⣿⣉⣏⣛⣋⣛⣶⣤⣔⣚⠋⠞⣻⣭⣁⠀⠀⢑⠈⡀⠀⢬⠉⠥⠀⡶⠂⣀⡀⣡⣭⣭⣭⣭⣭⡀⠈⠙⡻⢿⡟⠛⠂⣐⠛⠙⠛⠙⠛⠉⠉⠛⠋⠛⢛⠉⣻⣿⠟⢉⣛⣛⠀⠀⠈⣉⣉⣙⠹⠿⣿⣛
⣶⣾⣿⣏⣩⣭⣿⣿⢿⣿⣿⣿⣿⣿⣿⣗⣲⡾⠭⢉⠉⠉⠁⣰⣾⣂⣰⣯⣭⣽⠟⠁⠀⠈⠛⣿⣭⣭⣽⣿⣛⣴⣖⣢⣶⡶⣾⣻⣟⣅⣒⣂⣀⣠⣤⣦⣾⣶⣾⣿⣛⣿⣿⣴⣿⣿⣿⣿⡖⡲⣶⣤⣯⣭⣴⡄⡤⠤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣤⣶⣶
⣿⣿⣛⣛⣻⣿⣿⣿⣿⣟⣛⣻⣿⣿⣿⣿⣿⣿⣿⢾⣿⣿⣿⣿⣿⣿⣾⣿⣿⣷⡤⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣟⣻⣿⣿⣾⣾⣿⣿⠿⠿⣟⢛
⣿⠿⡿⠿⠿⠛⠛⠿⠿⠿⠟⠛⣟⣫⣭⣿⣯⣭⣭⣍⣭⣌⣿⣆⣈⣉⣉⣩⣭⣭⣥⠀⠀⠀⠀⣿⣿⣿⣿⠿⣿⣿⣿⣟⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠭⠉⠉⠋⠉⠀⡁⢀⣀⣀⢀⣰⣤⠀
⣶⣶⣿⣧⣤⣤⣤⣴⣶⣾⣿⣿⣿⠟⠛⠛⣛⣿⣿⣿⣿⣫⣍⡩⠬⠵⠚⠋⠀⠀⠀⢀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⢁⡈⣀⣀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣷⣶⣤⣶⣶⣶⣾⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣯⣿⣿⣯⣽⣿⣭⣽⣶⣦⣭⣥⣶⠶⠶⣟⣿⣿⣿⣋⣙⣁⣀⣠⡤⠀⠀⠀⢀⠀⠎⠀⠂⠀⠐⣲⣖⣲⣾⡿⢟⢻⣿⡟⣉⣙⣙⣙⣙⣋⣙⣿⣿⣿⣶⣶⣿⣿⣿⣿⣷⠷⠿⠗⠒⣂⣤⣾⠿⠿⠿⠛⠻⠿⠿⠿⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣻⣿⣿⣿⣿⣯⣯⣭⣯⣽⣿⣿⣿⣷⣤⣬⣴⣿⣿⠇⠠⠀⢿⣿⣿⣿⣿⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⡿⣿⣿⣿⣶⣶⣶⣷⣿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣗⠿⠛
⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⠟⠓⠿⡒⠲⠚⠗⠆⠈⠙⠋⠛⢫⣾⣯⠿⣽⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⡿⢿⠿⠛⠋⡛⠉⠨⠿⠻⠿⠭⢿⣿⠶⢶
⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠟⠋⠀⠀⠄⠤⠄⠄⠀⠀⠄⠄⠒⠭⢉⢊⠙⠓⠒⡚⠺⠒⠞⠻⡷⠤⠴⠶⠦⠒⠒⠀⠉⠉⠙⠿⠟⠃⠓⠀⢀⠈⠁⠀⠀⠀⠄⠐⢀⠋⣠⢀⣘
⠁⠀⠀⢻⣿⣿⣿⣿⣿⣿⠛⢛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠖⠮⠁⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠘⠛⠢⠈
⠀⠀⠀⠀⠒⠚⠻⠿⠏⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢠⠤⠄⠀⠤⠀⠀⡄⠀⠀⠉⠋⠛⠻⣶⣶⣤⣶⣦⣤⣤⣶⣶⣶⣿⠀⠀⠀⢠⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣬⣦⣤⣄⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠙⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠿⠟⠛⠛⠻⠿⣿⣿⣿⣿⣿⣶⣤⡄⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀
⠈⠙⠛⣶⣶⣤⣤⣀⣀⣀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡈⠉⠉⠙⠉⠉⢿⡿⠿⠂⠐⠐⠺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠐⠀⠀⠀⠀⠀⠀⠀⠂⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠤⠐⠒⠈⠁⣀⠠⠄⠒⠂⠊⠀⠀⠀⠐⠊⠉⠁⠉⠁⠈⠁⢀⠶⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠔⠂⠉⠀⢀⣀⠀⠴⠒⠚⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠭⢿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⣠⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⣀⠤⠐⠊⣁⣀⣀⣤⠤⠖⠉⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢠⣿⣿⣿⠿⠻⢿⣿⣿⣿⡷⠀⣻⣯⣿⣡⣽⣷⣿⡱⣏⡱⣟⣻⣹⣿⡗⡟⣿⣿⣟⣿⣟⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⣯⠽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢸⣿⣿⣿⡀⠀⣸⣿⣿⣿⡇⠀⣩⠥⣌⣁⣉⡭⣚⣩⡭⣗⣉⣁⣈⣁⡵⣋⠽⣛⡁⢈⣁⡩⠤⠤⠄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠴⠒⠊⠉⢀⣤⣤⠤⠖⢒⣒⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⢿⣿⣿⣿⣿⣿⣿⡟⠀⠁⠀⢓⡽⠛⢟⡹⠟⢟⣻⠽⠛⠺⢷⡟⠕⠻⠞⠯⠓⠊⠉⠀⠀⠀⠀⠀⠈⢗⣶⣶⡆⠀⠀⠀⠀⠀⠀⢀⡠⠤⠒⠉⠀⠀⠀⠀⠀⠀⠉⠋⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⡀⠔⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣴⣮⣿⣤⣾⣿⣾⣾⣯⣽⣶⣭⡯⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣥⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣭⣹⣯⡻⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 4570

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

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    Gemini version at https://techrights.org/n/2024/12/09/Why_Mike_Magee_Created_and_Was_Involved_in_So_Many_News_Sites_A.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Why Mike Magee Created and Was Involved in
So Many News Sites About Technology⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Dec 09, 2024


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


British legend


For the record, Mr. Magee created many news sites: The Register, The Inquirer,
TechEye, ChannelEye, and maybe more (he was at least involved in several more).


Against all odds he survived till age 74 and his_first_"baby" will turn 35 in a
few years (it was founded in 1994).


Here's one thing people must remember:


  🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇In_December_2000,_Magee_suffered_a_heart_attack._When_he
   returned_to_work,_he_stated_publicly_that_he_disagreed_with_the_editorial
                          direction_of_The_Registe⦈_


Wikipedia has many issues of its own (it's basically a Public Relations
platform there days, probably still the Web's most reputable Public Relations
platform), but that's just what_it_says_about_Magee (until some PR agency
decides to omit that part about him [1, 2], even posthumously, citing_some
excuses_like_"it's_old"_or_"it's_not_important").


The erratic and unpredictable nature of Wikipedia (it depends on who pays the
bribes [1, 2]) is why we have made the screenshot above. █




⢲⢙⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣛⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⢀⠿⣿⣿⡿⣿⣿⣿⣉⡚⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣤⣬⣉⠟⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠘⠛⢿⣿⣧⣿⣿⣿⣿⣵⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣝⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠲⣶⣤⣤⣤⣨⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⢹⣿⡿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣷⣽⠟⠛⠙⠋⠳⢿
⡀⡀⢀⡈⢉⣹⣿⣿⣿⣿⣽⢿⣿⣿⣿⠿⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⡿⣿⣿⡿⠛⣿⣿⠿⠛⡁⠨⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣫⣿⣿⣿⣿⠿⠓⠙⠞⠈⠂⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠒⢀⣻⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⡹⠛⢻⣿⣿⣯⢀⡀⠙⠃⠀⢁⡈⠀⠀⠀⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠛⠛⠛⢉⣉⣀⡀⣀⡀⢠⡄⠀⡀⣠
⡻⠿⣿⣿⡇⡽⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣱⡛⠛⠉⠋⢽⣿⣼⣧⣩⣻⣿⣿⣿⣿⣿⠇⠀⠸⣿⣿⡿⠻⠃⠀⠀⡀⠘⠇⠀⠄⠀⠠⠚⠀⠈⡉⠉⠙⠻⣿⡿⢿⣇⣳⣀⣠⡀⠀⠀⢨⣿⣿⣿⣿⣥⣾⣿⣽⣿⣿
⢄⡤⣾⣯⣻⣿⠦⢿⣿⠿⣾⣿⣿⣿⣿⣿⣦⡀⠱⠀⠀⠀⠀⠈⠉⠛⢿⣿⣿⠃⠈⣼⣯⠄⠀⠰⣿⣶⣶⣦⣄⠀⠘⠂⠀⢀⠀⠀⠀⠀⠀⠀⣀⠀⢀⣤⡄⠉⠀⢠⣽⣄⣀⡿⣦⣾⢾⣿⣿⣿⣿⣿⠟⠛⣿⣿⣿⣿
⠀⠀⠀⠹⠋⠉⠀⠐⠆⢫⡿⣿⣿⣿⣿⣿⣿⣿⣶⠶⢦⡀⠀⠀⠀⠀⠈⢀⣁⠀⠀⠸⢷⣄⢲⣦⡟⠻⣿⣿⣿⣿⣦⣄⣴⣬⣑⡄⠀⣠⣾⣛⣿⣷⣬⣾⣿⣿⣶⣶⣍⢫⣻⣾⣿⣧⣴⣿⣿⣿⣿⣿⣴⣾⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⢦⡛⠙⢿⣿⣿⣿⣿⡏⠀⠀⠙⢶⣦⡴⠦⠞⣿⣿⣧⠶⣶⣿⣿⡉⠉⣛⣻⣾⣿⣿⣿⣿⣿⣿⣿⡟⣧⣾⣿⣿⣿⣿⣿⣿⣭⣭⢹⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣀⡁⠀⠀⣈⠻⠿⣿⣂⣀⣄⣤⣿⣿⣿⣷⣶⣞⣧⣼⣿⣏⣾⣽⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⠿⠟⣿⣿⣿⣿⣇⢜⠋⢿⣿⣿⣿⡟⠛⠛⠙⠋⠉⠉⠉
⠀⠀⠀⠀⠀⠀⢀⠀⠀⢹⡛⠛⢳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠻⠿⠈⠟⣿⣿⡿⣿⣿⣿⠉⠿⠛⠛⠋⡏⡥⢼⠅⠀⠀⠀⠀⢸⣿⣿⣙⡛⢋⡓⢢⡽⠟⠏⠀⠀⠀⠀⠀⠀⠀⢀
⣀⣀⣀⣀⣀⣀⣈⣀⣀⣀⣤⣷⣿⣿⣿⣿⣿⣿⡿⠿⠻⠛⠛⠛⠋⠛⠛⠻⠟⠛⠿⡟⢿⢿⣥⣼⡀⠀⠀⠀⠈⠉⠁⠉⠉⠉⢰⣶⢻⠿⠻⢥⠓⠛⠀⠤⠀⠀⠀⠐⠓⠀⠏⠓⠚⠓⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉
⠛⠛⠛⠛⠛⠛⠛⠻⠛⠛⠛⠛⠛⠋⠛⠋⡀⠀⠀⠠⠀⢠⣤⡐⡖⡶⠀⠀⠀⠀⠀⠀⠀⠾⠿⠏⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣠⠀⡀⢀⠀⠀⢀⢀⡀⢠⡄⢀⡀⣀⢠⣀⡀⠀⠀⠀⠀⠀⠀⡀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠗⣿⠇⠏⠉⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⡏⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠁⠸⠁⠈⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡂⠀⠀⠀⠈⠻⠟⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⡀⠀⠀⠀⠖⠀⠒⠈⠆⠃⣀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠃⠀⠀⠠⠀⠀
⣀⣀⣀⣀⣀⣀⠀⣀⣤⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠄⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠉⠉⠉⠉⠁⠀⠀⣀⣀⣀⣠⣤⡐⠒⠀⠤⠭⣀⡈⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀
⠘⠉⠉⠉⠉⠀⠒⠛⠙⠛⡛⠛⠻⠿⠛⢓⢒⣞⣿⣛⣟⣛⣟⣛⣛⣛⣟⡛⢛⡛⣻⣿⣿⠿⢿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣛⣛⠛⠛⠛⠛⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⠁⠀⠀⠀⠀⠐⠻⠿⠹⣯⣿⠿⣿⣿⣷⣶⡾⣶⣿⠿⠾⣷⣿⣿⣿⣿⣿⠶⠶⠶⠛⠊⠉⠒⣒⣒⣶⣲⣲⣭⠭⠭⠽⢷⣶⢷⣶⣿⡿⣿⣿⣽⣽⣶⣶⣶⣴⣤⣶⣠⣤⣤⣠⣤⣄⣤⣠⠥
⠀⠀⠀⠀⠀⠀⠀⣀⣖⣒⣂⡀⠤⣤⣤⣴⣷⠾⣭⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣾⣥⣭⣴⣴⣦⣶⠿⠿⢿⠿⠿⠿⠴⠶⠚⠛⠉⢭⣭⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣟
⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠛⢻⣿⣟⣛⣿⣻⣿⣿⣍⢶⣾⣽⣻⡹⠿⠋⣭⣝⣟⣷⣦⣬⣬⣶⣶⣤⣶⣒⠒⣦⣠⣄⣠⣐⣒⣲⣛⣈⠉⠉⠉⠙⠛⢛⣻⣿⣻⡛⣋⣉⡙⠋⠻⠿⢿⣟⣯⡿⣿⡿⣿⣿⣿⣿⣿⡳
⣿⠿⠭⠍⠋⠉⠠⠾⠛⢉⣉⣉⣀⣤⣒⣀⣀⣴⣿⣅⣀⣠⢼⢦⠴⠴⠴⣶⣿⣿⣿⣿⣬⣿⣧⣭⡿⣿⣞⣿⣦⠴⢭⢿⣏⣶⡶⣶⣾⣗⢆⡲⢲⣆⡀⠬⠍⠉⠙⠛⠫⢵⣿⢧⠶⣾⡙⣛⣿⡿⣿⣿⣿⣪⣹⣿⣿⣿
⣶⣾⡿⢟⢿⣟⣙⡟⣛⣋⣋⣉⡉⣭⠽⣿⣍⣉⣈⡩⢈⠘⣎⣐⣋⣛⣋⣼⣽⣿⣭⡭⡽⣽⣷⣾⣷⡈⣩⣍⣹⣿⣾⡭⣿⠾⡾⠟⠿⠿⢿⣿⡷⠼⣵⣦⣦⣤⢀⣰⣦⣀⣢⡤⢴⡖⢦⡀⢈⡃⠛⠀⠙⡋⡙⠯⡩⠿
⡿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⡿⡿⢿⡿⠿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⢿⣿⡿⢿⣿⣿⢿⣿⢿⡿⢿⣿⣿⣿⢿⣿⣿⣿⡿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿
⣧⣿⣼⣬⣤⣤⣤⣤⣶⣧⣤⣤⣿⣵⣬⣬⣮⣌⣧⣤⣷⣄⣠⣤⣼⣧⣽⣶⣤⣤⣧⣤⣼⣷⣿⣤⣤⣵⣷⣼⣷⣤⣼⣦⣤⣤⣽⣧⣴⣤⣤⣼⣿⣤⣤⣿⣦⣤⣯⣤⣼⣧⣤⣼⣾⣤⣧⣤⣤⣼⣼⣽⣴⣤⣿⣿⣿⣿
⡟⠋⠟⠋⠻⡻⢹⠛⠻⡿⠋⠙⠏⢛⡏⢿⠛⠋⣿⡙⠛⡟⠉⠉⠏⠋⠉⠉⠋⠋⢹⡛⠋⡽⡝⡏⣿⡟⢻⠛⡻⣯⠝⠟⡏⠛⢹⠻⣿⡟⠛⠏⢟⠟⡛⡟⢟⣽⢩⠹⠻⣿⡉⠻⠻⠋⠻⠙⠛⡿⡏⣻⠛⡏⠛⣯⢽⣿
⡿⠿⣿⠿⢿⡿⠿⡾⣿⢿⠿⡿⣿⠾⢿⢿⣿⡿⡿⡿⡿⡿⣿⢿⠿⢷⢾⠿⢿⠿⢿⡿⣿⢿⠿⡿⣿⢿⢿⢿⡿⡿⡿⠿⠿⢿⢿⢿⠿⡿⣿⡿⡿⠿⡿⠿⢿⡿⣿⡿⠿⣿⣿⡿⣷⢿⠿⡿⣿⠿⡿⡿⠿⠿⢿⢿⢿⣿
⣷⣥⣼⣴⣽⣥⣴⣤⣿⣼⣦⣤⣿⣿⣤⣠⣽⣽⣤⣼⣯⣬⣿⣧⣤⣷⣤⣭⣽⣯⣤⣤⣷⣵⣧⣀⣿⣧⣤⣼⣤⣬⣿⣥⣤⣿⣤⣼⣨⣿⣿⣬⣤⣤⣄⣤⣿⣨⣿⣥⣼⣿⣷⣥⣼⣼⣬⣤⣿⣦⣤⣎⣦⣼⣥⣤⣯⣿
⣏⠙⣭⣿⢽⡍⡇⢙⢙⠍⡏⠉⠉⠽⢉⠍⠉⢉⢽⠉⢸⠩⠉⡯⣫⠍⠉⡏⣯⡟⡉⠉⠉⢭⡍⠉⢩⡭⢿⣦⢯⡋⢹⠉⠙⢍⠍⢉⡉⣋⣿⡍⠉⠍⠉⡉⡋⡫⣿⠉⢩⢽⠉⡏⣽⣽⠉⢩⡫⠉⣝⢽⢿⠩⡻⡭⣿⣿
⡿⠟⠿⣿⡿⠿⡿⡿⠿⠿⢿⢿⠟⡟⠿⢿⠿⢿⢿⠿⢿⡿⢿⡿⡿⠿⠟⠿⣿⠻⠻⢿⠿⠿⠿⡿⢿⡿⡿⣿⠟⠿⢿⡿⠿⠟⢿⡿⢻⠟⢻⠿⠻⠿⡿⣿⠿⠿⢿⠿⠻⠿⠿⢿⢿⣿⣛⠻⡿⣿⠿⠾⠻⡿⠿⣿⣿⣿
⣯⣴⣵⣿⣧⣼⣮⣿⣤⣤⣴⣴⣥⣧⣮⣾⣤⣶⣼⣦⣴⣧⣼⣯⣾⣤⣼⣯⣽⣴⣶⣼⣥⣤⣦⣿⣤⣧⣧⣿⣥⣶⣼⣯⣦⣤⣧⣿⣧⣤⣴⣮⣤⣼⣧⣿⣤⣤⣿⣵⣤⣦⣶⣴⣼⣿⣿⣼⣦⣿⣤⣤⣮⣿⣦⣿⣿⣿
⣏⣭⣉⡉⢙⣽⣹⣯⣉⣹⣉⣉⣩⣹⣨⣋⣩⣋⣉⣹⣯⣫⣹⣨⣍⣉⣹⣉⣯⣉⣍⣹⣍⣙⣨⣯⣉⣨⣩⣁⣉⣩⣍⢿⣯⣋⣉⣽⣏⣩⣉⣀⣾⣉⣉⣩⣿⣯⣍⣏⣙⣭⣫⣉⣩⣅⣍⣈⡉⢹⣏⣛⣩⣍⣹⣿⣿⣿
⡿⢿⡿⠻⠿⠿⡿⠿⠿⠿⢿⡯⠽⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣷⣾⣶⣶⣶⣶⣷⣷⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 4657

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Links 09/12/2024: Burned, Uncertain Future,
and Failure⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Dec 09, 2024


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


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


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


          o § Personal/Opinions⠀➾


                # ⚓ Burned⠀⇛


                       **2024-12-05**: Two days ago I got myself a second
                       degree burn about one inch in diameter from our
                       Raclette oven. I hadn’t burned myself in about
                       forty years, I think and I feel like a kid again,
                       observing the body as it reacts. The healing powers
                       are so weird.


                       Also I’m thankful for these self-healing
                       capabilities we have! And thankful for this
                       accident to be a curiosity instead of an emergency.
                       A good reminder to be thankful for all the good
                       days we have and I hope you’re having a good day!
                       Live long and prosper. Or, as I usually tell me
                       wife: healthy, happy, and in love. Be well.


                       **2024-12-07**: I went to the pharmacy and got a
                       disinfectant cream and wound pads. This was
                       Saturday afternoon and no more doctors were
                       available. Since this isn't an emergency, there's
                       no rush.


                # ⚓ Little_suns⠀⇛


                       Little suns to shine on my days:


                       - Oranges, bright, sweet, juicy and tasty oranges.
                       A simple pleasure but that's all the better.


                       - My friends who send me messages, friends who just
                       want to talk for a while. Even those I haven't seen
                       in a while, they want to see me, and catch up.


                # ⚓ Playfulness_as_a_Signal_of_Attractiveness⠀⇛


                       During the 2020 COVID lockdowns, several cultural
                       fads broke through around the same time: sea shanty
                       music, Taylor Swift's cottage core aesthetic,
                       and... "eating ass." It's what a real man does.
                       It's what a good boyfriend does. You don't love her
                       if you don't do it.


                       I think there was a deeper motivation behind that
                       meme: playfulness as a signal of attractiveness.
                       Playfulness is a universally pro-social behavior,
                       it works in both dating and doing business. The
                       more playful a person is in socially aware ways,
                       the more attractive they must be. Why?
                       Vulnerability.


                # ⚓ 🔤SpellBinding:_AISMNPK_Wordo:_WAVED⠀⇛


                # ⚓ Schadenfreude_over_my_employer,_Christmas_Edition⠀⇛


                       The Corporation at which I work, has just cancelled
                       the Christmas raffle, due to very low attendance.


                       My country, probably most western countries, have a
                       culture of that you have to love your work and you
                       have to love being at work, we have to feel like a
                       family. They then refuse to give you raises,
                       promotions or benefits and give you poor end of
                       year reviews to justify it.


                       So it just makes me a little happy, that in an
                       office with 12000 employees, they couldn't get
                       attendance to give stuff away. 😂


          o § Politics and World Events⠀➾


                # ⚓ Planning_for_an_Uncertain_Future⠀⇛


                       I just want to make clear that this entry does not
                       constitute a return to writing. I'm still taking a
                       step back¹ from writing. I'm only writing this
                       entry now because it's important for people to get
                       this message now rather than later.


                       [...]


                       We are at a unique moment in human history. It's
                       more likely than ever that one of the following
                       occurs:


                       * A global catastrophic event or existential risk
                       to the human species is realized * New technology
                       radically transforms society


                       Given the combined probability of all the events in
                       both of these categories occurring, certain courses
                       of action and plans that were considered good
                       common sense historically, might no longer apply in
                       the modern world.


                       Let's see an example.


                       [...]


                       I am 25 years old. If I retire at age 60, I will
                       retire in 35 years. Suppose there is a 1%
                       probability of global nuclear war in any given
                       year.


                       That works out to a 1-(1-0.01)^35 ≈ 30% chance that
                       global nuclear war happens before I retire, meaning
                       that I can't enjoy any of the money I saved and I
                       would've been better off spending it instead.


                       In this hypothetical, there's a 70% chance that
                       global nuclear war doesn't happen and I still need
                       the retirement money. So I'd probably save. But
                       what if we factor in other risks? Let's pick one
                       from the second category: new technology.


                       [...]


                       Imagine spending years compiling and organizing a
                       large dataset. You finally finish it. Then, a week
                       later, a new powerful open-source AI model is
                       released which could've accomplished the same task
                       in minutes, and done a better job.


                       [...]


                       If you commit crimes that could land you in jail or
                       prison for years, you should consider stopping if
                       you can. A few years incarcerated starting in 2024
                       could amount to a de facto life sentence due to the
                       global catastrophic risk level.


                       [...]


                       I'm in a situation where it's critical for me to
                       advance career-wise and any extra time/energy spent
                       writing is not spent on my career. When I stopped
                       writing prolifically a year ago⁴, I planned to come
                       back to writing later after I'd made enough
                       progress in my career and other personal life goals
                       that I felt ready to return.


                       [...]


                       Understand that when it comes to global
                       catastrophic risk, there are a very small number of
                       people who will determine whether those risks are
                       realized or not. Most of us aren't in a position to
                       change the outcome. So just do what you can, and
                       don't panic or worry excessively about it. That
                       won't do any good.


          o § Technology and Free Software⠀➾


                # ⚓ Probably_the_best_engineer's_wristwatch_of_today⠀⇛


                       As more and more circumstances out there are
                       forcing me to stay home, I asked myself a question:
                       "which watch out of my current collection would I
                       really wear all day long with the least troubles?"
                       To be honest, any of the watches in the collection
                       wouldn't give me a lot of troubles (otherwise it
                       wouldn't stay there), but some watches are still
                       more suitable to the current lifestyle than the
                       others. Of course, one doesn't need a diver's or a
                       field watch for the activity happening mostly
                       indoors. And this is when I remembered about the
                       type of watches that I called "engineer's watch".


                # ⚓ ed_is_the_standard⠀⇛


                       `ed` is a window in the past. This is a line-based
                       editor, not a screen-based editor. It can be used
                       with a line-printer instead of a screen. This also
                       means that working with it is very different. I'll
                       try to collect some interesting command sequences
                       on this page.


                       I use `ed` to send mail from the command line. One
                       way I do this is by using `mail` on the server.
                       It's a line-oriented mail client. You can use any
                       editor with it, but the default feels very close to
                       `ed`.


                       When I started reading newsgroups again, I used
                       `tin` and made it use `ed` as the editor.


                # § Programming⠀➾


                      # ⚓ I_Failed⠀⇛


                             Well, I failed. If you read my last post you
                             know I was doing a short game jam with my
                             friend to motivate us to get writing some
                             code. My friend used Unreal and was able to
                             get a nice MVP working with a single level.
                             It was all very well done, and I feel very
                             comfortable saying I lost. As I was going
                             along creating my game, I ran into a few
                             different road bumps.


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





                    ䷩ 𝚕𝚒𝚗𝚎 4942

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Links 09/12/2024: Health Care Anger and
Power Vacuum in Syria⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Dec 09, 2024


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


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * Leftovers
          o Science
          o Hardware
          o Health/Nutrition/Agriculture
          o Proprietary/Artificial_Intelligence_(AI)
          o Security
          o Defence/Aggression
          o Environment
                # Energy/Transportation
                # Wildlife/Nature
          o Civil_Rights/Policing
          o Internet_Policy/Net_Neutrality
          o Monopolies/Monopsonies
                # Patents
    * § Leftovers⠀➾


          o ⚓ Hackaday ☛ The_Audiophile_Carrot⠀⇛


                 The widely quoted carrot factoid that the vegetable’s
                 orange colour is the result of patriotic Dutch farmers
                 breeding them that way may be an urban myth, but it’s
                 certainly true that they can pass an audio signal in a
                 time of need. [Julian Krause] follows up on a Reddit meme
                 of a carrot being used to join two phono plugs, and
                 appears to find the organic interconnect to be of good
                 quality.


          o ⚓ Hackaday ☛ New_Tullomer_Filament_Claims_To_Beat_PEEK⠀⇛


                 Recently a company called Z-Polymers introduced its new
                 Tullomer FDM filament that comes with a lofty bullet list
                 of purported properties that should give materials like
                 steel, aluminium, and various polymers a run for their
                 money. Even better is that it is compatible with far
                 lower specification FDM printers than e.g. PEEK.
                 Intrigued, the folks over at All3DP figured that they
                 should get some hands-on information on this filament and
                 what’s it like to print with in one of the officially
                 sanctioned Bambu Lab printers: these being the X1C & X1CE
                 with manufacturer-provided profiles.


          o § Science⠀➾


                # ⚓ Science Alert ☛ Mysterious_Fossils_Suggest_Neanderthals
                  Were_Capable_of_Abstract_Thought⠀⇛


                       Why did they collect these things?


                # ⚓ Science Alert ☛ Quantum_Censorship_Could_Hide_The_Awful
                  Truth_of_What_Lies_Inside_a_Black_Hole⠀⇛


                       Don't look!


                # ⚓ Science Alert ☛ Record-Breaking_Super-Earth_Has_The_Density
                  of_Lead,_Scientists_Say⠀⇛


                       The densest known planet in its class.


          o § Hardware⠀➾


                # ⚓ Hackaday ☛ Tiny_NFC-Powered_Keychain_Thermometer⠀⇛


                       What if your keychain could tell you the
                       temperature, all while staying battery-free? That’s
                       the essence of this innovative keychain ‘NFC_temp’
                       by [bjorn]. This nifty gadget harnesses energy from
                       an NFC field—like the one created by your
                       smartphone—to power itself just long enough to take
                       a precise temperature reading. Using components
                       like an ATTiny1626 microcontroller, a TMP117
                       thermometer, and an RF430CL330H NFC IC, NFC_temp
                       cleverly stores harvested power in a capacitor to
                       function autonomously.


                # ⚓ Ruben Schade ☛ Acceptable_public_use_cases_for_smartphone
                  speakers⠀⇛


          o § Health/Nutrition/Agriculture⠀➾


                # ⚓ New York Times ☛ What_Doctors_Like_Myself_Know_About
                  Americans’_Health_Care_Anger⠀⇛


                       As a doctor, I’ve been on both sides of frustrating
                       health care debacles.


                # ⚓ CS Monitor ☛ UnitedHealthcare_tragedy_sparks_conversations
                  about_insurance_reform⠀⇛


                       The fatal shooting of UnitedHealthcare's CEO has
                       sparked a wave of frustration over the insurance
                       industry. Patients are sharing personal stories,
                       with many hoping the amplified voices lead to
                       change in an industry often criticized for
                       prioritizing profits over people.


                # ⚓ New York Times ☛ NYPD_Releases_New_Images_of_Suspect_in
                  UnitedHealthcare_CEO_Shooting⠀⇛


                       The manhunt for the gunman who fatally shot Brian
                       Thompson, chief executive of UnitedHealthcare,
                       entered its fifth day, and the police released two
                       new images.


                # ⚓ The Straits Times ☛ India’s_craving_for_baked_chips,
                  protein_bars_spurring_growth_of_health_food_market⠀⇛


                       India today has the world’s fastest-growing health
                       food and wellness market.


                # ⚓ JURIST ☛ Canada_high_court_rules_that_suspected_drug_sales
                  justify_warrantless_searches_amid_‘opioid_crisis’⠀⇛


                       The Supreme Court of Canada ruled that a suspected
                       drug sale constitutes an “exigent circumstance”
                       that justifies warrantless search, which would
                       otherwise be considered a violation of privacy
                       under the Canadian Charter of Rights and Freedoms.


                # ⚓ RFERL ☛ Afghan_Women_Say_Ban_On_Midwife_Training_Will_Mean
                  Health_Risks⠀⇛


                       A Taliban shutdown on midwife and nurse training in
                       Afghanistan has students worried over the health
                       consequences for women. Medical trainees have
                       launched singing protests and taken to social
                       control media to decry the latest restriction on
                       Afghan women's education.


                # ⚓ Science Alert ☛ Mysterious_Fatal_'Disease_X'_Outbreak_in
                  Congo_Still_Can't_Be_Explained⠀⇛


                       Here's what we know.


                # ⚓ Science Alert ☛ An_Ancient_Killer_Is_Rapidly_Becoming
                  Resistant_to_Antibiotics,_Study_Warns⠀⇛


                       This is a global problem.


                # ⚓ Science Alert ☛ Promising_New_Malaria_Vaccine_Can_Be
                  Injected_by_Mosquito_Bite⠀⇛


                       Close to a 90 percent success rate.


          o § Proprietary/Artificial Intelligence (AI)⠀➾


                # ⚓ Tom's Hardware ☛ Intel_XeSS_2_DLL_files_leaked_days_before
                  launch_—_Frame_Generation_and_Low_Latency_libraries_surface
                  at_Nexus_Mods⠀⇛


                       DLL files for Intel's XeSS 2 suite of technologies
                       has been leaked but are likely still dependent on
                       support from game developers.


          o § Defence/Aggression⠀➾


                # ⚓ Deutsche Welle ☛ 2024-11-27_[Older]_Thousands_of_Lebanese
                  return_home_as_ceasefire_takes_hold⠀⇛


                # ⚓ Deutsche Welle ☛ 2024-11-26_[Older]_Egypt:_4_bodies_found
                  after_tourist_boat_capsizes_in_Red_Sea⠀⇛


                # ⚓ The Straits Times ☛ S._Korean_commander_involved_in_martial
                  law_says_soldiers_were_‘victims’_of_ex-defence_minister⠀⇛


                       South Korea's former defence minister Kim Yong-hyun
                       stepped down from his role on Dec 4.


                # ⚓ The Straits Times ☛ South_Korea’s_martial_law_plans_were
                  drawn_up_in_November,_says_lawmaker⠀⇛


                       The plans were directed by the chief of the
                       military counter-intelligence unit.


                # ⚓ NYPost ☛ South_Korea_martial_law_fallout_deepens_as
                  President_Yoon_Suk_Yeol_targeted_in_criminal_probe⠀⇛


                       South Korea's leadership crisis deepened on Sunday
                       as prosecutors named President Yoon Suk Yeol as a
                       subject of a criminal investigation over last
                       week's martial law attempt.


                # ⚓ New York Times ☛ South_Korea_Unsure_Who_Is_Running_the
                  Government⠀⇛


                       President Yoon Suk Yeol’s ill-fated bid to impose
                       martial law has created a power vacuum in his
                       governing camp, pushing the country deeper into
                       what analysts call a constitutional crisis.


                # ⚓ The Straits Times ☛ Yoon’s_impeachment_motion_puts_focus_on
                  South_Korea’s_generational_gap⠀⇛


                       At the heart of the divide are two very different
                       experiences of life in South Korea.


                # ⚓ The Straits Times ☛ South_Korea_martial_law_fallout_deepens
                  as_prosecutors_close_in_on_President,_ex-defence_minister⠀⇛


                       His party says it obtained his agreement to step
                       down in exchange for blocking impeachment.


                # ⚓ The Straits Times ☛ South_Korea’s_opposition_brands_ruling
                  party’s_plan_to_fill_in_for_Yoon_unconstitutional⠀⇛


                       “South Korea cannot be safe unless Yoon is no
                       longer president,” said a Democratic Party
                       representative.


                # ⚓ The Straits Times ☛ Can_South_Korea’s_President_Yoon_Suk
                  Yeol_be_suspended_without_impeachment?⠀⇛


                       Impeachment is often perceived as the most severe
                       form of political accountability.


                # ⚓ The Straits Times ☛ South_Korean_interior_minister_resigns:
                  Media⠀⇛


                       President Yoon Suk Yeol accepted his resignation,
                       the paper said.


                # ⚓ The Straits Times ☛ South_Korean_opposition_will_again_try
                  to_impeach_Yoon⠀⇛


                       Lee Jae-myung, leader of the main opposition
                       Democratic Party, said it will try again on Dec 14.


                # ⚓ The Straits Times ☛ Visually_impaired_South_Korean_lawmaker
                  tried_to_scale_walls_on_martial_law_day⠀⇛


                       Ms Kim Yea-ji was among only three lawmakers from
                       the ruling People Power Party to participate in the
                       vote.


                # ⚓ The Straits Times ☛ South_Korea_turmoil:_What_next?⠀⇛


                       South Korea’s main opposition is plannning a new
                       push to impeach President Yoon Suk Yeol.


                # ⚓ The Straits Times ☛ After_failed_martial_law,_South_Koreans
                  ask:_Who’s_in_charge?⠀⇛


                       Its Constitution does not allow for the president
                       to be replaced unless he resigns or is impeached.


                # ⚓ France24 ☛ Parisians_gather_to_celebrate_the_fall_of
                  Assad's_regime_in_Syria⠀⇛


                       Syrian rebels declared they had ousted President
                       Bashar al-Assad after seizing control of Damascus
                       on Sunday, forcing him to flee and ending his
                       family's decades of autocratic rule after more than
                       13 years of civil war. This event resonates around
                       the world, including in Paris, where people have
                       gathered at Place de la République to celebrate.


                # ⚓ France24 ☛ What_is_the_stance_of_the_Syrian_rebels_who_have
                  toppled_Assad?⠀⇛


                       Celebrations erupted around Syria and crowds
                       ransacked President Bashar al-Assad's home after
                       Islamist-led rebels swept into Damascus and
                       declared he had fled the country. International
                       actors have, on their part, been more cautious in
                       their reaction, as the main rebel group who has
                       ousted Assad is a globally designated terrorist
                       organization. Analysis by Mariam Benraad, professor
                       of international relations at Schiller
                       International University.


                # ⚓ France24 ☛ Lebanon_says_boosting_troops_on_Syria_border
                  after_Assad's_fall⠀⇛


                       The Lebanese army said it was reinforcing its
                       presence on the border with neighbouring Syria,
                       after the government of longtime President Bashar
                       al-Assad fell and rebels took the capital Damascus.
                       More information with FRANCE 24 correspondent in
                       Beirut, Rawad Taha.


                # ⚓ France24 ☛ Suspected_Israeli_strikes_hit_Syrian_capital
                  Damascus⠀⇛


                       Suspected Israeli airstrikes hit Mazzeh district of
                       Damascus on Sunday, one Lebanese and one Syrian
                       security source said. Additionally, jets believed
                       to be Israeli bombed the Khalkhala air base in
                       southern Syria that was evacuated by the Syrian
                       army overnight. Details with FRANCE 24
                       correspondent in Jerusalem, Noga Tarnopolsky.


                # ⚓ France24 ☛ What_role_did_Israel_play_in_the_toppling_of
                  Syria's_Assad?⠀⇛


                       Israeli Prime Minister Benjamin Netanyahu said the
                       overthrow of Bashar al-Assad in Syria was a
                       "historic day in the... Middle East" and the fall
                       of a "central link in Iran's axis of evil". He also
                       took part credit for the the fall of Assad, saying
                       it is a direct result of blows dealt to Hezbollah
                       and Iran by Israel. What role did Israel really
                       play in the toppling of Syria's Assad? Answer by
                       FRANCE 24 Kethevane Gorjestani.


                # ⚓ France24 ☛ What_did_life_look_like_in_Syria_under_Bashar
                  al-Assad's_regime?⠀⇛


                       Syrian rebels declared they had ousted President
                       Bashar al-Assad after seizing control of Damascus
                       on Sunday, forcing him to flee and ending his
                       family's decades of autocratic rule after more than
                       13 years of civil war. What did life look like
                       under Assad's regime? FRANCE 24's Erin Ogunkeye
                       asked Radwan Ziadeh, executive director at the
                       Syrian Center for Political and Strategic Studies.


                # ⚓ France24 ☛ What_will_become_of_Bashar_al-Assad_now_that_he
                  has_been_ousted_by_Syrian_rebels?⠀⇛


                       Syrian rebels have toppled President Bashar al-
                       Assad after a lightning offensive which in under
                       two weeks has seen major cities slip from
                       government's fingers, culminating in rebels
                       capturing the capital Damascus. What will become of
                       the former president now? Answer by Radwan Ziadeh,
                       executive director at the Syrian Center for
                       Political and Strategic Studies.


                # ⚓ France24 ☛ Israel's_Netanyahu_hails_fall_of_Assad_as
                  'historic_day'⠀⇛


                       Israeli Prime Minister Benjamin Netanyahu hailed
                       the ousting of Syria's Bashar al-Assad as an
                       "historic day" that followed the blows delivered by
                       Israel against Assad's supporters Iran and
                       Hezbollah in Lebanon.


                # ⚓ France24 ☛ Iran's_embassy_in_Damascus_stormed_by_Syrian
                  rebels⠀⇛


                       Iran's embassy in Syria was vandalised after
                       Islamist-led rebels declared the fall of Tehran
                       ally Bashar al-Assad following a sweeping offensive
                       that culminated in Damascus. Details by FRANCE 24
                       correspondent in Tehran Saeed Azimi.


                # ⚓ France24 ☛ The_fall_of_Syria's_Assad_resonates_all_the_way
                  to_Paris,_where_people_are_gathering_to_celebrate⠀⇛


                       The fall of Bashar al-Assad in Syria is resonating
                       worldwide. Across Europe, people are gathering to
                       celebrate. FRANCE 24’s Clovis Casali reports from
                       Paris, France.


                # ⚓ Hong Kong Free Press ☛ China_says_hopes_Syria_‘returns_to
                  stability_as_soon_as_possible’⠀⇛


                       China’s foreign ministry said Sunday it hopes Syria
                       “returns to stability as soon as possible”, after
                       Islamist-led rebels announced they had taken
                       Damascus and sent President Bashar al-Assad
                       fleeing.


                # ⚓ New Yorker ☛ The_Fall_of_Assad’s_Syria⠀⇛


                       In the wake of President Bashar al-Assad’s
                       remarkable abdication of power, jubilation and fear
                       collide as the country—and the region—faces an
                       uncertain future.


                # ⚓ New York Times ☛ Biden_Weighs_Approach_to_Rebels_in_Syria
                  Amid_Secret_Message_Exchange⠀⇛


                       President Biden faces the challenge of deciding how
                       to engage the main armed group that toppled
                       President Bashar al-Assad, even though it remains
                       designated a terrorist organization by the United
                       States.


                # ⚓ New York Times ☛ With_Assad’s_Fall,_Iran’s_‘Axis_of
                  Resistance’_Unravels⠀⇛


                       Tehran’s main regional allies are weakened or
                       collapsing: Syria’s president, Bashar al-Assad, has
                       fled his country, Hezbollah is battered by conflict
                       with Israel, and Hamas is still at war.


                # ⚓ New York Times ☛ Syrians_Mourn_All_They_Have_Lost,_Even_as
                  They_Celebrate⠀⇛


                       Thoughts of loved ones dead or missing complicate
                       joyous relief at the prospect of Bashar al-Assad’s
                       losing power.


                # ⚓ New York Times ☛ Syria’s_Army_Was_Hollowing_Out_Long_Before
                  Rebels’_Advance⠀⇛


                       While multiple factors contributed to the fall of
                       President Bashar al-Assad, corrosion inside his own
                       military did not help, analysts say.


                # ⚓ New York Times ☛ Who_Is_Abu_Mohammad_al-Jolani,_Leader_of
                  Syrian_Rebel_Offensive?⠀⇛


                       Abu Mohammad al-Jolani spearheaded a lightning
                       assault that led to the fall of President Bashar
                       al-Assad.


                # ⚓ New York Times ☛ As_Syrian_Rebels_Take_Charge,_Freeing
                  Prisoners_of_Assad_Is_a_Priority⠀⇛


                       Many people want to determine the fates of loved
                       ones who disappeared into a notorious military
                       prison that was a symbol of human rights abuses
                       under President Bashar al-Assad.


                # ⚓ New York Times ☛ Syria_Civil_War:_What_to_Know_About_the
                  Rebels_and_the_Fall_of_Assad⠀⇛


                       President Bashar al-Assad fled the country as
                       rebels claimed the capital, Damascus.


                # ⚓ New York Times ☛ The_Assad_Family’s_Legacy_Is_One_of_Savage
                  Oppression⠀⇛


                       A dynasty bombed and detained thousands of
                       opponents, building fearsome internal security
                       agencies to quash unrest.


                # ⚓ France24 ☛ Syrians_wake_up_to_a_new_country,_after_rebels
                  ousted_Assad_during_the_night⠀⇛


                       Syrians poured into streets echoing with
                       celebratory gunfire after a stunning rebel advance
                       reached the capital, ending the Assad family's 50
                       years of iron rule but raising questions about the
                       future of the country and the wider region. Story
                       by Emily Boyle.


                # ⚓ Off Guardian ☛ DISCUSS:_Syrian_Government_Falls,_Assad
                  Flees_Damascus⠀⇛


                       Syrian “Rebels” have declared total victory after
                       claiming to have taken Damascus. In a television
                       broadcast on Syria’s state broadcaster opposition
                       leaders said Syria has been “liberated”. President
                       Bashar al-Assad has reportedly fled the capital and
                       country, with some social control media accounts
                       sharing unconfirmed reports that his plane crashed.


                # ⚓ Atlantic Council ☛ Experts_react:_Rebels_have_toppled_the
                  Assad_regime._What’s_next_for_Syria,_the_Middle_East,_and_the
                  world?⠀⇛


                       Syrian dictator Bashar al-Assad has been ousted as
                       opposition forces quickly took the Syrian capital.
                       Atlantic Council experts share their insights on
                       the developments.


                # ⚓ France24 ☛ Why_the_Assad_regime_collapsed_in_Syria_–_and
                  why_so_fast⠀⇛


                       Syrian insurgents toppled President Bashar al-
                       Assad's on Sunday after a stunning, two-
                       week offensive that saw major cities slip from the
                       regime’s fingers one by one, until rebel forces
                       captured the capital Damascus almost without a
                       fight.


                # ⚓ New York Times ☛ Monday_Briefing:_Al-Assad_Flees_Syria_as
                  Rebels_Claim_Power⠀⇛


                       Plus, Notre-Dame reopens.


                # ⚓ France24 ☛ Trump_says_Russia_abandoned_Syria's_Assad,_never
                  should_have_been_involved⠀⇛


                       U.S. President-elect Donald Trump said that
                       Russia's abandonment of Syrian President Bashar al-
                       Assad led to his downfall, adding Moscow never
                       should have protected him in the first place and
                       then lost interest because of a war in Ukraine that
                       never should have started. Details with FRANCE 24
                       correspondent in New York, Fraser Jackson.


                # ⚓ France24 ☛ 🔴_Syria's_Assad_and_his_family_in_Moscow_after
                  Russia_granted_them_asylum,_says_Kremlin_source⠀⇛


                # ⚓ RFERL ☛ Syria's_Assad_Flees_To_Moscow,_Reportedly_Granted
                  Asylum⠀⇛


                       Syrian President Bashar al-Assad and his family
                       have arrived in Moscow, a Russian diplomat said, as
                       rebels took control of the capital, Damascus,
                       bringing to an end the brutal, half-century rule of
                       the Assad family.


                # ⚓ RFERL ☛ Russia_Says_Syria's_Assad_Granted_Asylum_In
                  Moscow⠀⇛


                       Syrian rebels claimed early on December 8 to have
                       taken control of the capital, Damascus after
                       launching a lightning offensive in recent days that
                       advanced quickly through the country.


                # ⚓ RFERL ☛ Georgescu,_Supporters_Protest_Outside_Bucharest
                  Polling_Station_After_Runoff_Scrapped⠀⇛


                       Romania’s far-right, pro-Russian presidential
                       candidate Calin Georgescu and dozens of his
                       supporters staged a protest at a shuttered polling
                       station in Bucharest after an election runoff was
                       scrapped by the country's Constitutional Court.


                # ⚓ Tom's Hardware ☛ Russian_Ex-ASML_employee_indicted_for
                  stealing_critical_trade_secrets_—_currently_in_custody,_faces
                  20-year_Netherlands_entry_ban⠀⇛


                       A Russian engineer at ASML has been accused of
                       stealing trade secrets at the company and now faces
                       litigation and an entry-ban.


                # ⚓ CS Monitor ☛ Ousted_Syrian_President_reportedly_in_Moscow
                  after_rebel_takeover⠀⇛


                       Syrian President Bashar Assad has reportedly
                       arrived in Moscow with his family, granted asylum
                       by Russia after rebel advances. Russian state media
                       says Assad fled Syria following negotiations with
                       rebels, sparking celebrations nationwide.


                # ⚓ New York Times ☛ As_Assad’s_Dictatorship_in_Syria_Ends,_New
                  Risks_for_the_Middle_East_Are_Huge⠀⇛


                       The overthrow of the Assad government could mean
                       Russia’s bases in Syria are closed and Iran’s
                       pathway to Hezbollah is cut off. Now Iran, newly
                       vulnerable, will have to decide between negotiation
                       and the bomb.


                # ⚓ New York Times ☛ Assad_Arrives_in_Russia_After_Fleeing
                  Syria,_Russian_Media_Says⠀⇛


                       President Bashar al-Assad landed in Russia,
                       according to state media outlets there and two
                       Iranian officials, after fleeing the country as
                       rebels took control of Syria’s capital.


                # ⚓ New York Times ☛ Bashar_al-Assad_of_Syria_Falls_to_Rebels⠀⇛


                       President Bashar al-Assad had kept opposition
                       forces at bay for a decade with help from Russia
                       and Iran. But rebels struck at a moment of weakness
                       for those countries.


                # ⚓ New York Times ☛ As_Syrian_Government_Loses_Control,_the
                  Skies_Above_Go_Quiet⠀⇛


                       For years, people lived in terror of airstrikes by
                       Syrian and Russian planes that helped keep the
                       country’s authoritarian leader in power.


                # ⚓ Meduza ☛ Former_Syrian_President_Bashar_al-Assad_in_Russia,
                  state_media_reports_—_Meduza⠀⇛


                # ⚓ Meduza ☛ Syrian_rebels_reportedly_capture_Jableh,_city_near
                  Russia’s_Khmeimim_Air_Base_—_Meduza⠀⇛


                # ⚓ Meduza ☛ Moscow_confirms_that_Assad_has_stepped_down_as
                  Syria’s_president_and_fled_the_country_—_Meduza⠀⇛


                # ⚓ France24 ☛ Syrians_celebrate_end_of_Assad's_brutal_reign
                  after_the_president_flees⠀⇛


                       Syria's Bashar al-Assad fled to Moscow as Islamist-
                       led rebels captured Damascus Sunday, ending five
                       decades of Baath party rule. Celebrations erupted
                       nationwide. Assad's luxurious home was overrun as
                       the government collapsed 11 days into a surprise
                       rebel offensive, over 13 years after Syria's civil
                       war began.


                # ⚓ NYPost ☛ What’s_at_stake_for_America_in_Syria_after_Bashar
                  al-Assad⠀⇛


                       Bashar al-Assad, Syria’s murderer-in-chief, has
                       fled to Moscow. The people are celebrating, tearing
                       down posters of Assad and statues of his equally
                       vicious father, who founded the regime.


                # ⚓ New York Times ☛ Bogged_Down_in_Ukraine,_Russia_Pays_a
                  Price_in_Syria⠀⇛


                       With the fall of President Bashar al-Assad of
                       Syria, Vladimir V. Putin has suffered one of the
                       biggest geopolitical setbacks of his quarter-
                       century in power.


                # ⚓ The Straits Times ☛ Taiwan_reports_near_doubling_of_Chinese
                  warships_nearby⠀⇛


                       Security sources expect this to be a new round of
                       war games.


                # ⚓ The Straits Times ☛ Australia_PM_says_suspected_synagogue
                  arson_appears_to_be_terrorist_act⠀⇛


                       Police are still looking for two people suspected
                       of deliberately starting the fire.


                # ⚓ The Straits Times ☛ Yoon’s_signature_industrial_policies_at
                  risk⠀⇛


                       Ongoing impeachment proceedings have raised doubts
                       about the future of these initiatives.


                # ⚓ New York Times ☛ Sexual_Abuse_Lawsuit_Against_Linda
                  McMahon,_Trump’s_Education_Secretary_Pick,_Is_Paused⠀⇛


                       Linda McMahon is accused of failing to stop abuse
                       in the 1980s within W.W.E., which she led at the
                       time. The suit is on hold pending a ruling over a
                       state law related to such cases.


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


                      # ⚓ Atlantic Council ☛ Ukraine’s_entrepreneurial_class
                        can_drive_the_country’s_economic_recovery⠀⇛


                             The Ukrainian SME sector has demonstrated
                             remarkable wartime resilience and is poised
                             to be at the forefront of efforts to create a
                             modern, innovative, postwar economy, writes
                             Anton Waschuk.


                      # ⚓ France24 ☛ Trump_discusses_cutting_Ukraine_aid,_mass
                        deportations_in_first_post-election_TV_interview⠀⇛


                             US President-elect Donald Trump said in an
                             NBC interview aired Sunday that his incoming
                             administration would "probably" reduce aid to
                             Ukraine and deport all undocumented
                             immigrants in the United States. Trump also
                             said he would consider taking the US out of
                             the NATO alliance.


                      # ⚓ LRT ☛ Disappointed_with_Berlin,_Poland_seeks_new
                        partners_in_Baltics_and_Scandinavia⠀⇛


                             Disappointed with Germany, Poland is
                             reorienting its security policy. Warsaw wants
                             to work with the Scandinavian and Baltic
                             countries to help Ukraine, and stand up to
                             Russia.


                      # ⚓ New York Times ☛ 43,000_Ukrainian_Soldiers_Killed
                        Since_Russia_Invaded,_Zelensky_Says⠀⇛


                             The tally differs sharply from estimates by
                             U.S. officials and military analysts, who
                             have said the number is closer to 70,000.


                      # ⚓ New York Times ☛ Ukraine’s_Aggressive_Draft_Efforts
                        Are_Facing_a_Backlash⠀⇛


                             After being left for dead by Russian
                             soldiers, Mykola Kulichenko doesn’t think he
                             should be forced to serve. His experience
                             highlights the vagaries of Ukraine’s
                             aggressive mobilization.


                      # ⚓ Meduza ☛ Trump,_Zelensky,_and_the_Kremlin_spar_over
                        ceasefire_talks_and_how_many_soldiers_have_died_in
                        Russia’s_invasion_of_Ukraine_—_Meduza⠀⇛


                      # ⚓ Latvia ☛ Two_Latvian_writers_attend_congress_in
                        Moscow⠀⇛


                             The Latvian Writers' Union has suspended two
                             members, Vija Laganovska and Sergejs Moreino.
                             The reason is their trip to Russia and their
                             participation in the Congress of Translators
                             in Moscow this autumn. The Writers' Union is
                             still waiting to hear from the State Security
                             Service on the possible expulsion of the two
                             members, Latvian Television reported December
                             7.


                      # ⚓ RFERL ☛ Trump_Says_Russia,_Iran_In_'Weakened_State,'
                        Calls_On_Putin_To_Make_Ukraine_Deal⠀⇛


                             Trump said Russia and Iran are in a “weakened
                             state” and called on Russian President
                             Vladimir Putin to make a deal to end the war
                             in Ukraine.


                      # ⚓ Meduza ☛ Trump_was_‘reluctant’_to_meet_with_Zelensky
                        in_Paris,_but_Macron_talked_him_into_it_—_Axios_—
                        Meduza⠀⇛


          o § Environment⠀➾


                # § Energy/Transportation⠀➾


                      # ⚓ The Straits Times ☛ Malaysia_Airlines_pilots_praised
                        on_social_control_media_after_difficult_UK_landing⠀⇛


                             They were seen performing a “crabbing”
                             technique before safely landing the aircraft.


                      # ⚓ 3_years_on,_displaced_families_await_compensation_for
                        Lao-China_Railway_project⠀⇛


                             At least 371 families have rejected what they
                             say is an inadequate offer by the government.


                      # ⚓ New York Times ☛ Steve_Mensch,_President_of_Tyler
                        Perry_Studios,_Dies_at_62⠀⇛


                             Mr. Mensch, a longtime supporter of the film
                             industry in Georgia, died in a plane crash on
                             Friday in Florida, according to officials.


                      # ⚓ Hackaday ☛ Silicon_Carbide_May_Replace_Zirconium
                        Alloys_For_Nuclear_Fuel_Rod_Cladding⠀⇛


                             Since the construction of the first
                             commercial light water nuclear power plants
                             (LWR) the design of their fuel rods hasn’t
                             changed significantly. Mechanically robust
                             and corrosion-resistant zirconium alloy
                             (zircalloy) tubes are filled with ceramic
                             fuel pellets, which get assembled into fuel
                             assemblies for loading into the reactor.


                      # ⚓ Deutsche Welle ☛ 2024-11-26_[Older]_Costa_Rica_plane
                        crash_kills_5⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-11-27_[Older]_Volkswagen_to
                        exit_China's_Xinjiang,_sell_factory⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-11-27_[Older]_Unlicensed_German
                        driver_lets_boy_steer,_tries_to_flee_cops⠀⇛


                      # ⚓ Deutsche Welle ☛ 2024-11-27_[Older]_Surprise_solar
                        surge_in_Pakistan_shocks_experts_and_grid⠀⇛


                # § Wildlife/Nature⠀➾


                      # ⚓ NYPost ☛ Shelter_staff_rescue_stray_dog_found_1,200
                        miles_and_four_states_away_from_home⠀⇛


                             Staff at a shelter in Indiana rescued a stray
                             dog — and were floored to discover the pup
                             had trekked all the way from Colorado. The
                             adventuring stray, named Diva, turned up at
                             the Oak Knoll Vet Clinic in late November.


          o § Civil Rights/Policing⠀➾


                # ⚓ JURIST ☛ Brazil_court_sentences_three_officers_for
                  asphyxiation_death_of_Black_man⠀⇛


                       The Public Ministry of the Brazilian state of
                       Sergipe announced Saturday that three former police
                       officers have been sentenced to long prison terms
                       for the death of Genivaldo de Jesus Santos, a Black
                       man with schizophrenia, in 2022.


          o § Internet Policy/Net Neutrality⠀➾


                # ⚓ APNIC ☛ IXP_from_scratch:_Part_1_—_Building_a_new_IXP⠀⇛


                       Guest Post: How to build an IPv6-only IXP from
                       grassroots including technical design decisions.


      § Monopolies/Monopsonies⠀➾


          o § Patents⠀➾


                # ⚓ Dennis Crouch/Patently-O ☛ Dual_Sanctions:_Courts_Can_Layer
                  Inherent_Power_Sanctions_on_Top_of_§_285_Awards⠀⇛


                       In PS Products, the Federal Circuit has affirmed
                       that district courts may impose deterrence
                       sanctions under their inherent powers even after
                       (or in addition to) awarding attorney fees under 35
                       U.S.C. § 285. PS Prods. Inc. v. Panther Trading
                       Co., No. 2023-1665 (Fed. Cir. Dec. 6, 2024).





                    ䷩ 𝚕𝚒𝚗𝚎 5953

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Links 09/12/2024: UnitedHealthcare C.E.O.'s
Killer Still Unknown, Syrian Regime Change
Completed⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Dec 09, 2024


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


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * Leftovers
          o Science
          o Career/Education
          o Hardware
          o Health/Nutrition/Agriculture
          o Proprietary/Artificial_Intelligence_(AI)
          o Security
                # Licensing_/_Legal
                # Integrity/Availability/Authenticity
                # Privacy/Surveillance
          o Defence/Aggression
          o Transparency/Investigative_Reporting
          o Environment
                # Energy/Transportation
                # Overpopulation
          o Finance
          o AstroTurf/Lobbying/Politics
          o Censorship/Free_Speech
          o Freedom_of_Information_/_Freedom_of_the_Press
          o Civil_Rights/Policing
          o Digital_Restrictions_(DRM)
          o Monopolies/Monopsonies
                # Patents
                      # Kangaroo_Courts
                      # Software_Patents
                # Trademarks
                # Copyrights
                # Gemini*_and_Gopher
                      # Personal/Opinions
                      # Technology_and_Free_Software
                            # Internet/Gemini
    * § Leftovers⠀➾


          o ⚓ Unicorn Media ☛ How_Many_People_In_Your_State_Are_Trying_to_Get
            the_Same_Tech_Job_That_You’re_Seeking?⠀⇛


                 What percentage of the workforce in your state are IT
                 Professionals? How many people per square mile work in
                 tech? Where does your state rank?


          o ⚓ Ruben Schade ☛ Stymied_by_legacy_measurements_in_the_morning⠀⇛


                 We’re getting a delivery from a Swedish furniture
                 manufacturer this morning, so I was doing some
                 measurements and calculations to confirm where they’d go
                 in the apartment. One cabinet is going to be a place to
                 display some of our retrocomputers, and I wanted to make
                 sure they’d fit.


          o ⚓ Vox ☛ 2024-11-27_[Older]_Is_it_possible_to_have_both_pride_and
            humility?⠀⇛


          o ⚓ Bob Monsour ☛ Tagging_posts_and_'futzing'_with_my_site⠀⇛


                 I spent a few hours mulling over this website and futzing
                 with it. I tweaked some CSS to simplify things. And I
                 decided to add more tags to some of my posts. The
                 personal category was a bunch of odd stuff. Those posts
                 also have tags like travel, politics, and health.


          o ⚓ Amit Patel ☛ SDF_Halos⠀⇛


                 These outlines are called “halos” in the cartography
                 world. There are many styles one can use. A solid outline
                 is the simplest thing to implement, so I started with
                 that. Apple Maps and Google Maps use a solid outline too.
                 However, a solid color outline can be distracting, and
                 Cartographer Tom Patterson instead uses background
                 blurring with feathering (variable strength) to produce
                 nicer looking halos. That article made me want to try
                 other styles.


          o ⚓ Ruben Schade ☛ The_Who:_Back_to_serif_again⠀⇛


                 Remember Bookman Old Style? I did all my high school
                 assignments in that. I loved it for its serif flourishes,
                 and for taking up more space on a page. If you tell a
                 student there’s a font size and page length requirement,
                 they’re going to figure out ways around it. I remember Ms
                 Gravina giving me full marks once on an English project,
                 and commenting that she respected my chutzpah.


          o ⚓ Lou Plummer ☛ The_Modern_Miracles⠀⇛


                 Like most people, I take all of this for granted and
                 seldom take the time to consider what a true miracle it
                 is and how rapidly it has all evolved. I even get
                 irritated when my mind can conceive of an idea that no
                 one has invented yet. Actually, that rarely happens.
                 People seem to come up with ideas and make them realities
                 faster than I can master the skills to take advantage of
                 them.


          o ⚓ Jeremy Cherfas ☛ Sign-up_Spam⠀⇛


                 The numbers go up, but I am still hoping this is not a
                 trend. And the complainers worry me. Presumably these are
                 people whose actual email addresses have been used
                 without their knowledge. I wonder, do they blame me, the
                 innocent party is all this? And if they do, could there
                 be any consequences?


          o ⚓ Sean Goedecke ☛ I_don't_know_how_to_build_software_and_you_don't
            either⠀⇛


                 Are microservices better than monoliths? Should teams set
                 their own technical direction, or is it better to have
                 that dictated by some external architect? Should you
                 write long-term complex projects in an untyped language?
                 If you’re on the internet for ten seconds, you’ll see
                 many engineers who argue about these topics as if the
                 answer was obvious.


                 The longer I work in tech, the less confident I get about
                 any of these big questions. I’ve seen enough things work
                 that I thought were terrible ideas, and vice versa. In
                 fact, I’m not convinced it’s even possible to be
                 justifiably confident that there’s a right answer to
                 these questions. Nobody knows!


          o § Science⠀➾


                # ⚓ Science Alert ☛ Popular_Fitness_Regime_May_Reduce_Need_For
                  Prescription_Drugs⠀⇛


                       Strong stuff!


                # ⚓ Science Alert ☛ Scientists_Reveal_a_Very_Compelling_Reason
                  to_Use_Your_Air_Fryer⠀⇛


                       We had no idea.


                # ⚓ Science Alert ☛ The_Opposite_of_Déjà_Vu_Exists_And_Is_Even
                  More_Uncanny⠀⇛


                       The weird world of jamais vu.


                # ⚓ Science Alert ☛ Huge_Experiment_Gives_First_Glimpse_of_The
                  Internal_Structure_of_a_Neutron⠀⇛


                       A monumental step forward.


                # ⚓ Science Alert ☛ Timekeeping_Is_on_The_Verge_of_a_Giant_Leap
                  in_Accuracy._Here's_Why.⠀⇛


                       We're counting down!


          o § Career/Education⠀➾


                # ⚓ University of Michigan ☛ Are_textbook_prices_too_high?_A
                  look_into_UMich’s_textbooks⠀⇛


                       Textbooks are an essential part of nearly every
                       college student’s experience. Whether an online
                       version, a tattered used book or a copy borrowed
                       from fellow classmates, these reading materials
                       serve as a base for many college courses. However,
                       some classes impose a total textbook cost as high
                       as $297.50, according to The Michigan Daily’s data
                       team. The Daily looked into how textbook prices at
                       the University of Michigan compare between classes,
                       departments and course levels, utilizing course
                       syllabi from the University’s course guides and
                       data from U-M Barnes & Noble and Amazon for 146
                       courses offered in the fall 2024 semester and
                       winter 2025 semester.


                # ⚓ The Independent UK ☛ Universities_urging_foreign_students
                  to_return_to_US_campuses_before_Trump_inauguration⠀⇛


                       The institution is asking pupils to return to
                       campus by January 13, when the semester begins.


                       “This is especially important given that a new
                       presidential administration will take office on
                       January 20 and — as is common — may issue one or
                       more executive orders impacting travel to the US
                       and visa processing,” a statement sent out by USC
                       read.


          o § Hardware⠀➾


                # ⚓ Hackaday ☛ Printing_In_Multi-material?_Use_These_Filament
                  Combos⠀⇛


                       If one has a multi-material printer there are more
                       options than simply printing in different colors of
                       the same filament. [Thomas Sanladerer] explores
                       combinations of different filaments in a fantastic
                       article that covers not just which materials make
                       good removable support interfaces, but also which
                       ones stick to each other well enough together to
                       make a multi-material print feasible. He tested an
                       array of PLA, PETG, ASA, ABS, and Flex filaments
                       with each in both top (printed object) and bottom
                       (support) roles.


                # ⚓ Hackaday ☛ Tis_The_Season⠀⇛


                       ’Tis the season for soldering! At least at my
                       house. My son and I made some fairly LED-laden
                       gifts for the immediate relatives last year, and
                       he’s got the blinky bug. We were brainstorming what
                       we could make this year, and his response was “I
                       don’t care, but it needs to have lots of LEDs”.


                # ⚓ Hackaday ☛ Liquid_Metal_Ion_Thrusters_Aren’t_Easy⠀⇛


                       What do scanning electron microscopes and
                       satellites have in common? On the face of things,
                       not much, but after seeing [Zachary Tong]’s latest
                       video on liquid metal ion thrusters, we see that
                       they seem to have a lot more in common than we’d
                       initially thought.


                # ⚓ US Navy Times ☛ How_recovering_a_Japanese_Zero_at_Pearl
                  Harbor_added_to_its_mystery⠀⇛


                       Surprisingly few hard facts were revealed by the
                       examination of AI-154.


          o § Health/Nutrition/Agriculture⠀➾


                # ⚓ Off Guardian ☛ Bird_Flu:_The_“Next_Pandemic”_is_right_on
                  schedule⠀⇛


                       We haven’t published anything about bird flu since
                       June. There hasn’t been much to say. Nevertheless,
                       I still regularly comb through journals and news
                       sites, ensuring we don’t miss anything potentially
                       important.


                # ⚓ New York Times ☛ Canada’s_988_Crisis_Hotline,_a_‘Pathway_to
                  Survival,’_One_Year_Later⠀⇛


                       The hotline responded to more than 300,000 calls
                       and texts in its inaugural year, reinforcing
                       appeals for Canada to establish a national suicide
                       prevention strategy.


                # ⚓ New York Times ☛ In_Congo,_a_Medical_Mystery_Offers_Clues
                  to_the_Mpox_Epidemic⠀⇛


                       In a remote Congolese town, a medical mystery led
                       to the discovery of alarming changes in the mpox
                       virus and, eventually, to a global health
                       emergency.


                # ⚓ The Straits Times ☛ Malaysia’s_health_ministry_records
                  10,272_cases_of_waterborne_diseases_in_six_flood-hit_states⠀⇛


                       More than 100 healthcare facilities have also been
                       affected by the floods in Malaysia.


                # ⚓ Science Alert ☛ Mushroom_Extract_Shows_Promising_Effects
                  Against_Prostate_Cancer⠀⇛


                       It's not even an exotic mushroom.


                # ⚓ Deutsche Welle ☛ 2024-11-26_[Older]_Type_2_diabetes:_South
                  Asians_genetically_at_risk_—_study⠀⇛


                # ⚓ Deutsche Welle ☛ 2024-11-26_[Older]_Laughing_gas:_How
                  dangerous_is_the_"balloon_drug"?⠀⇛


                # ⚓ Deutsche Welle ☛ 2024-11-26_[Older]_Kiss_away_the_calories:
                  11_fun_facts_about_kissing⠀⇛


                # ⚓ Deutsche Welle ☛ 2024-11-26_[Older]_Hypothermia:_What
                  happens_when_your_body_freezes?⠀⇛


                # ⚓ Rolling Stone ☛ UnitedHealthcare_CEO_Shooting_Suspect_Had
                  Monopoly_Money_in_Backpack⠀⇛


                       The investigation into the murder of the
                       UnitedHealthcare CEO took another bizarre twist
                       Saturday as it was reported that a backpack linked
                       to the alleged killer contained only two items: A
                       jacket and Monopoly money.


                # ⚓ The Age AU ☛ Some_see_suspect_in_UnitedHealthcare_CEO
                  killing_as_a_folk_hero⠀⇛


                       Instead, the executive’s killing has released a
                       tide of online frustration towards the health
                       insurance industry, with some people even voicing
                       their support for the gunman.


                       It is unclear what motivated the killing or whether
                       it was tied to Thompson’s work in the industry.
                       Police have yet to identify the shooter, and he
                       remained at large as of Sunday (Monday AEDT).


                # ⚓ CBC ☛ 1_in_7_ER_visits_could_have_been_a_doc_visit;_New_Air
                  Canada_carry-on_rules:_CBC's_Marketplace_cheat_sheet⠀⇛


                       Now, CIHI has developed a new indicator to gauge
                       how hard it is to access care: emergency department
                       visits for conditions that could potentially be
                       managed in primary care.


          o § Proprietary/Artificial Intelligence (AI)⠀➾


                # ⚓ Make Tech Easier ☛ 2024-11-28_[Older]_5_Reasons_Why_I_Steer
                  Clear_of_Apple_Products⠀⇛


                # ⚓ Modern Diplomacy ☛ 2024-12-03_[Older]_Balancing_Growth_and
                  Regulation:_Apple’s_Investment_Struggles_in_Indonesia⠀⇛


                # ⚓ Futurism ☛ Mariah_Carey_Denies_That_Her_Holiday_Video_Is_AI
                  Slop,_But_We're_Not_Convinced,_for_Obvious_Reasons⠀⇛


                       Christmas queen Mariah Carey has released her
                       latest yuletide dispatch — and it looks an awful
                       lot like it was made with AI.


                       As part of Spotify's annual "Wrapped" campaign,
                       which calculates users' top songs, the "All I Want
                       For Christmas" singer provided a video to her top
                       fans that appeared to show the star perching in
                       front of a holiday tree while rocking some Santa-
                       style red and white threads.


                # ⚓ New York Times ☛ Apple_Faces_Lawsuit_Over_Child_Sexual
                  Abuse_Material_on_iCloud⠀⇛


                       The notice arrived months after Apple had unveiled
                       a tool that allowed it to scan for illegal images
                       of sexual abuse. But it quickly abandoned that tool
                       after facing criticism from cybersecurity experts,
                       who said it could pave the way to other government
                       surveillance requests.


                       Now, the woman, using a pseudonym, is suing Apple
                       because she says it broke its promise to protect
                       victims like her. Instead of using the tools that
                       it had created to identify, remove and report
                       images of her abuse, the lawsuit says, Apple
                       allowed that material to proliferate, forcing
                       victims of child sexual abuse to relive the trauma
                       that has shaped their lives.


          o § Security⠀➾


                # § Licensing / Legal⠀➾


                      # ⚓ Alex Ewerlöf ☛ Mapping_reliability_to
                        accountability⠀⇛


                             I have spent the past 2 years rolling out
                             Service Levels across a large organization
                             (110+ teams). During this time I sat down
                             with the majority of those teams face to face
                             to identify their service, methodically
                             discover their reliability metrics (SLI), and
                             set reasonable expectations (SLO) and
                             establish full ownership.


                # § Integrity/Availability/Authenticity⠀➾


                      # ⚓ Tom's Hardware ☛ US_govt_says_Cisco_gear_often
                        targeted_in_China's_Salt_Typhoon_attacks_on_8
                        telecommunications_providers_—_issues_Cisco-specific
                        advice_to_patch_networks_to_fend_off_attacks⠀⇛


                             The U.S. CISA released special guidelines to
                             help organizations stay safe from attacks,
                             releasing specific instructions for Cisco
                             devices.


                # § Privacy/Surveillance⠀➾


                      # ⚓ New York Times ☛ UnitedHealthcare_CEO_Shooting:
                        Detectives_Scour_Video_Record_of_Suspect’s_Movements⠀⇛


                             Cameras are everywhere in Manhattan and they
                             helped lead investigators to a distinctive
                             backpack in Central Park that could be a key
                             piece of physical evidence.


                      # ⚓ New York Times ☛ In_Grim_Twist,_Some_Root_for_Suspect
                        in_UnitedHealthcare_CEO’s_Killing⠀⇛


                             The authorities have pleaded for help in
                             finding the person who killed Brian Thompson,
                             the chief executive of UnitedHealthcare. But
                             some seem more interested in rooting for the
                             gunman.


                      # ⚓ TwinCities Pioneer Press ☛ Search_for_Brian
                        Thompson’s_killer_yields_evidence,_but_few_answers⠀⇛


                             They have seen him smiling on a security
                             camera, but don’t know his name. They found
                             the backpack he discarded, but don’t know
                             where he’s gone.


                      # ⚓ New Yorker ☛ What_the_Murder_of_the_UnitedHealthcare
                        C.E.O._Means_to_America⠀⇛


                             What the death of a health-insurance C.E.O.
                             means to America.


                      # ⚓ NYPost ☛ Police_find_monopoly_money,_jacket_in
                        backpack_believed_to_belong_to_UnitedHealthcare_CEO
                        Brian_Thompson’s_assassin⠀⇛


                             Thompson, 50, was gunned down outside the
                             Hilton Hotel in Midtown just before dawn on
                             Wednesday.


                      # ⚓ The Straits Times ☛ US_alleges_China_hacked_calls_of
                        ‘very_senior’_political_figures,_official_says⠀⇛


                             October reports said Trump family members and
                             Biden administration officials had been
                             targeted by China hackers.


                      # ⚓ INTERVIEW:_An_Ex-FBI_agent_helps_unravel_the
                        mysteries_of_a_spy_swap⠀⇛


                             The former head of the bureau's Beijing
                             office explains the recent exchange of
                             prisoners between China and the U.S.


                      # ⚓ The Register UK ☛ How_Chinese_insiders_exploit_its
                        surveillance_state⠀⇛


                             Chinese tech company employees and government
                             workers are siphoning off user data and
                             selling it online - and even high-ranking
                             Chinese Communist Party officials and FBI-
                             wanted hackers' sensitive information is
                             being peddled by the Middle Kingdom's
                             thriving illegal data ecosystem.


          o § Defence/Aggression⠀➾


                # ⚓ The Straits Times ☛ Taiwan_reports_near_doubling_of_Chinese
                  warships_nearby⠀⇛


                       Taiwan's defence ministry said on Sunday that China
                       had nearly doubled the number of its warships
                       operating around the island in the previous 24
                       hours, ahead of what security sources expect will
                       be a new round of war games.


                # ⚓ JURIST ☛ European_Commission_orders_Fentanylware_(TikTok)
                  to_retain_information_following_controversial_Romanian
                  election⠀⇛


                       The European Commission announced on Thursday that
                       it would step up monitoring of the Fentanylware
                       (TikTok) platform’s compliance with the Digital
                       Services Act (DSA). The move comes in the context
                       of the ongoing Romanian elections and aggressive
                       online campaign of front-runner candidate Calin
                       Georgescu.


                # ⚓ New York Times ☛ On_These_Apps,_the_Dark_Promise_of_Mothers
                  Sexually_Abusing_Children⠀⇛


                       Smartphone apps downloaded from Fashion Company
                       Apple and Surveillance Giant Google can allow
                       parents and other abusers to connect with
                       pedophiles who pay to watch — and direct — criminal
                       behavior.


                # ⚓ Deutsche Welle ☛ 2024-11-26_[Older]_Myanmar:_How_far_will
                  China_go_to_keep_junta_afloat?⠀⇛


                # ⚓ Deutsche Welle ☛ 2024-11-26_[Older]_Merkel_defends
                  controversial_decisions_at_book_launch⠀⇛


                # ⚓ The Straits Times ☛ Six_Pakistani_soldiers,_22_militants
                  killed_in_clashes_near_Afghan_border,_army_says⠀⇛


                       Six Pakistani soldiers and 22 militants were killed
                       in armed clashes in a northwestern region near the
                       Afghan border on Saturday, the army said, as
                       Islamist fighters increase their attacks on
                       security forces in the area.


                # ⚓ The Local SE ☛ 2024-11-29_[Older]_EXPLAINED:_How_Sweden
                  wants_to_make_it_easier_to_find_and_deport_paperless
                  migrants⠀⇛


                # ⚓ New York Times ☛ Records_Seized_by_Israel_Show_Hamas
                  Presence_in_U.N._Schools⠀⇛


                       But interviews and an analysis of the records
                       shared with The Times by the Israeli military and
                       foreign ministry indicate that Mr. al-Khatib was
                       one of at least 24 people employed by UNRWA — in 24
                       different schools — who were members of Hamas or
                       Islamic Jihad, another militant group. Before the
                       war, the agency was responsible for a total of 288
                       schools, housed in 200 different building
                       compounds, in Gaza.


                       A majority were top administrators at the schools —
                       principals or deputy principals — and the rest were
                       school counselors and teachers, the documents say.
                       Almost all of the Hamas-linked educators, according
                       to the records, were fighters in the Qassam
                       Brigades.


                # ⚓ Jacobin Magazine ☛ Can_Democracy_Survive_Online?⠀⇛


                       The dream of a democratic web has turned into a
                       nightmare of moderation crises, content mines, and
                       billionaire overlords. Rebuilding digital spaces
                       for meaningful participation in a post-X future
                       will require nothing less than reclaiming the
                       digital commons.


                # ⚓ YLE ☛ PM_Orpo_on_Syria's_regime_change:_"People_can_no
                  longer_just_come_to_Europe_like_before"⠀⇛


                       Islamist rebels toppled Bashar al-Assad's regime on
                       Sunday. In response to the news, Orpo said It was
                       too early to determine whether this will lead to an
                       influx of Syrians to Europe and Finland.


                       "Europe is prepared. Lessons have been learned
                       since 2015. People can no longer just come to
                       Europe like before," Orpo told reporters during the
                       prime minister's traditional question hour on Yle
                       Radio 1.


                # ⚓ Michigan Advance ☛ Federal_appeals_court_upholds_rapidly
                  approaching_TikTok_ban⠀⇛


                       The law Congress passed this year to force the
                       Chinese parent company of social media giant TikTok
                       to either sell the service or face a U.S. ban is
                       constitutional, a panel of federal appeals judges
                       ruled Friday.


                       The order from a three-judge panel of the D.C.
                       Circuit Court of Appeals preserves the bipartisan
                       law President Joe Biden signed in April forcing
                       ByteDance, the parent company of TikTok, to cease
                       operations in the United States over concerns the
                       platform’s data gathering could be obtained and
                       used by the Chinese Communist Party.


                # ⚓ BoingBoing ☛ Muhammed_now_the_most_popular_baby_name_in
                  England⠀⇛


                       Muhammed is the most popular baby name in England
                       for the first time. It pipped Noah for the top spot
                       by less than 100, though when you include variants
                       such as Mohammed it's been way ahead for years.


                # ⚓ Coda Media Inc ☛ Legendary_Kenyan_lawyer_takes_on_Meta_and
                  Chat_GPT⠀⇛


                       Tech platforms run from Silicon Valley, and the
                       handful of men behind them, often seem and act
                       invincible. But a legal battle in Kenya is setting
                       an important precedent for disrupting the Big
                       Tech’s strategy of obscuring and deflecting
                       attention from the effect their platforms have on
                       democracy and human rights around the world.


                       Kenya is hosting unprecedented lawsuits against
                       Meta Inc., the parent company of Facebook,
                       WhatsApp, and Instagram. Mercy Mutemi, who made
                       last year’s TIME 100 list, is a Nairobi-based
                       lawyer who is leading the cases. She spends her
                       days thinking about what our consumption of digital
                       products should look like in the next 10 years.
                       Will it be extractive and extortionist, or will it
                       be beneficial? What does it look like from an
                       African perspective?


                # ⚓ Deutsche Welle ☛ Can_Europe_build_itself_a_rival_to
                  Google?⠀⇛


                       When it comes to searching the [WWW], there's
                       little that Europeans can do without America.


                       When Europeans go looking for information, 90% of
                       them


                       rely on US tech giant Google to find what they're
                       after. Around 5% use Microsoft's Bing.


                       Even if they choose a web browser based in Europe,
                       it's most likely using Google or Bing's
                       infrastructure, meaning requests are sent to the US
                       companies and their rankings are displayed.


                # ⚓ Deutsche Welle ☛ NATO_to_revise_strategy_on_how_to_tackle
                  hybrid_warfare⠀⇛


                       NATO allies have decided to increase intelligence
                       sharing, enhance cooperation with private
                       companies, and make critical infrastructure more
                       resilient to tackle hybrid warfare as cases of
                       suspected sabotage increase on NATO territory.


                # ⚓ RFERL ☛ Romanian_Court_Annuls_Presidential_Election,_Throws
                  Process_Into_Chaos⠀⇛


                       Georgescu's victory sent shock waves across the
                       West after Romania's Supreme Council of National
                       Defense (CSAT) declassified documents said to prove
                       a massive, Moscow-orchestrated cybercampaign in his
                       favor on TikTok that largely went under the radar
                       of Romanian authorities.


                # ⚓ Deutsche Welle ☛ The_role_of_TikTok_in_Romania's
                  presidential_election⠀⇛


                       The Supreme Court of Romania has pulled the
                       ripcord: On Friday, the judges annulled the results
                       of the first round of the presidential election in
                       November.


                       “The procedure for the election of the President of
                       Romania will be completely reopened,” the
                       Constitutional Court announced. It made the
                       decision “to ensure the correctness and legality of
                       the electoral process.”


                       The video app TikTok is said to have played a role
                       in this: The far-right and pro-Russian presidential
                       candidate Calin Georgescu had been massively
                       promoted via TikTok with the help of coordinated
                       accounts, recommendation algorithms and paid
                       advertising.


                # ⚓ Deutsche Welle ☛ US_court_upholds_law_ordering_sale_of
                  TikTok⠀⇛


                       President-elect Donald Trump — who takes office on
                       January 20 — was unsuccessful in banning TikTok
                       during his previous term in 2020. But in a change
                       of stance, he said before the November presidential
                       election that he would not allow the TikTok ban.


                # ⚓ RTL ☛ Edging_closer:_TikTok_closer_to_US_ban_after_losing
                  court_appeal⠀⇛


                       The law, signed by President Joe Biden in April,
                       would block TikTok from US app stores and web
                       hosting services unless ByteDance sells the
                       platform by January 19.


                       While recognizing that "170 million Americans use
                       TikTok to create and view all sorts of free
                       expression," the three-judge panel unanimously
                       upheld the law's premise that divesting it from
                       China's control "is essential to protect our
                       national security."


                # ⚓ NL Times ☛ Film_director,_Muppet_Show_puppeteer_Frank_Oz_to
                  open_World_War_II_expo_in_The_Hague⠀⇛


                       American puppeteer and film director Frank Oz, the
                       man behind various characters in Sesame Street and
                       the Puppet Show, is opening an exhibition on
                       Tuesday in the National Archive in The Hague about
                       the war history that his parents, the puppeteers
                       Isidore Oznowicz and Françoise Ghevaert, went
                       through.


                # ⚓ Los Angeles Times ☛ One_of_the_last_Pearl_Harbor_survivors
                  recalls_that_infamous_day⠀⇛


                       It’s believed there are fewer than 20 Pearl Harbor
                       survivors still alive.


                # ⚓ El País ☛ Pearl_Harbor_Day:_A_timeline_of_the_event_that
                  lead_the_United_States_into_World_War_II⠀⇛


                       The attack was carried out before Japan made a
                       formal declaration of war. Although the military
                       intended to declare war 30 minutes before the
                       attack, the message did not reach Washington until
                       hours later.


                # ⚓ Deutsche Welle ☛ AI_fakes,_cyberattacks_threaten_German
                  election⠀⇛


                       Cyberattacks on prominent individuals and
                       organizations may pose a significant threat to the
                       election, experts say. Once obtained, sensitive
                       data can be used in coordinated "hack-and-leak"
                       operations, in which stolen material — often
                       altered or taken out of context — is released to
                       undermine the credibility of political candidates
                       or parties.


                       "Against the backdrop of the Russian war of
                       aggression against Ukraine, Russia probably has the
                       greatest and most obvious interest in influencing
                       the election in its own favor," Germany's domestic
                       intelligence agency, the Federal Office for the
                       Protection of the Constitution (BfV), warned in
                       late November.


                       But domestic actors operating from within Germany
                       pose an equally significant risk to the integrity
                       of the election, Lentsch said.


                # ⚓ Deutsche Welle ☛ Iran_'dramatically_increasing'_enrichment,
                  IAEA_warns⠀⇛


                       IAEA chief Rafael Grossi said that Iran is
                       "dramatically" increasing enrichment up to 60%
                       purity, close to the roughly 90% needed for a
                       nuclear weapon.


                # ⚓ RFERL ☛ UN_Nuclear_Watchdog_Says_Iran_Planning_To
                  'Dramatically_Increase'_Uranium_Enrichment⠀⇛


                       The IAEA report said the effect of the change
                       "would be to significantly increase the rate of
                       production of uranium enriched up to 60 percent,"
                       according to news agencies quoting the report on
                       December 6.


                       This means the rate of production will jump to more
                       than 34 kilograms of highly enriched uranium per
                       month at its Fordow facility alone, compared to 4.7
                       kilograms previously, the report to the IAEA's
                       board of governors says.


                # ⚓ NYPost ☛ Syrian_President_Bashar_al-Assad_flees_Damascus_as
                  rebels_move_into_country’s_capital:_report⠀⇛


                       Syrian President Bashar al-Assad boarded a plane
                       and left Damascus for an unknown destination on
                       Sunday, two senior army officers told Reuters, as
                       rebels said they had entered the capital with no
                       sign of army deployments.


                # ⚓ The Straits Times ☛ South_Asian_Symphony_Orchestra_strikes
                  the_right_notes_for_peace⠀⇛


                       Helmed by a Singaporean conductor, the orchestra
                       brings together musicians from the region.


                # ⚓ The Straits Times ☛ South_Korea_ruling_party_vows_to
                  engineer_‘orderly_exit’_for_Yoon⠀⇛


                       The announcement was made at a joint press briefing
                       on Dec 8.


                # ⚓ The Straits Times ☛ South_Korea’s_PM_to_convene_Cabinet
                  meeting,_issue_joint_statement_with_ruling_party_leader⠀⇛


                       An extraordinary Cabinet meeting will be convened
                       at 2pm after the joint statement is released.


                # ⚓ New York Times ☛ Opposition_Grows_to_South_Korea’s
                  President_as_He_Faces_Impeachment⠀⇛


                       The leader of President Yoon Suk Yeol’s own party
                       has backed impeachment, on which the National
                       Assembly is set to vote on Saturday.


                # ⚓ France24 ☛ South_Korea_president_escapes_impeachment_over
                  martial_law_fiasco⠀⇛


                       South Korean President Yoon Suk Yeol escaped
                       impeachment Saturday over his brief declaration of
                       martial law, after lawmakers from his ruling party
                       boycotted a vote despite huge protests outside
                       parliament. Story by Emily Boyle.


                # ⚓ New York Times ☛ Protesters_Vow_to_Keep_Pressure_on_South
                  Korean_President_Yoon_Suk_Yeol⠀⇛


                       Demonstrations in the city and nationwide demanding
                       the president’s ouster intensified through the
                       week, and Saturday’s rally was the largest yet.


                # ⚓ The Straits Times ☛ S._Korea’s_Capital_Defence_Command_was
                  strong_choice_to_detain_top_lawmakers:_Source⠀⇛


                       Under martial law, the Defence Counterintelligence
                       Command chief can detain and investigate
                       individuals.


                # ⚓ New York Times ☛ South_Korean_President_Yoon_Survives
                  Impeachment_Vote_After_Martial_Law⠀⇛


                       The country was thrown into deeper uncertainty
                       after the governing party changed its stance and
                       refused to oust him. Protesters vowed to keep the
                       pressure on.


                # ⚓ New York Times ☛ South_Korean_Leader’s_Deal_to_Avoid
                  Impeachment_Signals_Bigger_Turmoil_Ahead⠀⇛


                       President Yoon Suk Yeol survived an opposition-led
                       attempt to remove him by getting his party members
                       to back him. But his troubles could now become
                       theirs too.


                # ⚓ CS Monitor ☛ South_Korean_President_Avoids_Impeachment:
                  What’s_Next?⠀⇛


                       Most lawmakers in President Yoon's ruling party
                       boycotted a vote Saturday to deny a two-thirds
                       majority needed to suspend his presidential powers.
                       With growing protests, polls show most South
                       Koreans support his removal.


                # ⚓ The Straits Times ☛ South_Korea’s_impeachment_history
                  offers_clues_to_President_Yoon’s_political_fate,_future
                  course⠀⇛


                       Mr Yoon has become the country’s third leader to
                       face impeachment proceedings.


                # ⚓ The Straits Times ☛ K-Pop_group_Girls’_Generation_2007_song
                  resurfaces_as_South_Korea’s_protest_anthem⠀⇛


                       Into the New World, the debut single by Girls’
                       Generation, was sung in rallies and protests this
                       week.


                # ⚓ The Straits Times ☛ K-pop,_carols,_guillotines_up_the_tempo
                  at_S._Korea_impeachment_protests⠀⇛


                       Ahead of the crucial impeachment vote, S. Korean
                       protesters are massing outside the National
                       Assembly.


                # ⚓ The Straits Times ☛ South_Korea_President_Yoon_apologises
                  for_martial_law_declaration;_to_let_party_decide_his_term⠀⇛


                       He promised there will not be a second martial law
                       declaration.


                # ⚓ The Straits Times ☛ Full_text_of_South_Korean_President
                  Yoon_Suk_Yeol’s_address_to_the_nation⠀⇛


                       President Yoon Suk Yeol promised there will not be
                       a second martial law declaration.


                # ⚓ The Straits Times ☛ South_Korea_opposition_leader
                  ‘disappointed’_by_Yoon’s_address,_presses_him_to_step_down⠀⇛


                       Yoon’s term is scheduled to end in May 2027, but he
                       might be forced to end his term prematurely.


                # ⚓ The Straits Times ☛ Is_S._Korea_President_Yoon’s_apology
                  enough_to_save_him_from_impeachment_vote?⠀⇛


                       As expected, Mr Yoon's public address does not
                       appear to have had any significant effects on the
                       opposition.


                # ⚓ The Straits Times ☛ S._Korea_President_Yoon_Suk_Yeol’s_old
                  high_school_suspends_uniform_policy_to_protect_students⠀⇛


                       The school also encouraged students to remain
                       composed if confronted with unfair treatment.


                # ⚓ The Straits Times ☛ Atrocities_made_a_South_Korean_city
                  infamous;_a_novelist_made_it_immortal⠀⇛


                       When President Yoon declared martial law this week,
                       the outrage was deepest in Gwangju.


                # ⚓ The Straits Times ☛ S._Korea_President_Yoon_Suk_Yeol_close
                  to_averting_impeachment⠀⇛


                       Lawmakers from Yoon’s ruling People Power Party
                       streamed out of the Parliament’s main chamber.


                # ⚓ The Straits Times ☛ South_Korean_opposition_party_files
                  motion_to_impeach_interior_and_safety_minister⠀⇛


                       The vote on the minister’s impeachment is expected
                       on Dec 10.


                # ⚓ The Straits Times ☛ ‘Do_your_job’:_South_Korean_protesters
                  frustrated_by_floundering_impeachment_vote⠀⇛


                       Nearly 150,000 people were estimated by police to
                       have filled the streets around the National
                       Assembly.


                # ⚓ The Straits Times ☛ South_Korea_president_escapes
                  impeachment_over_martial_law_fiasco⠀⇛


                       The motion did not meet the required two-thirds
                       majority after Yoon's party boycotted the vote.


                # ⚓ The Straits Times ☛ South_Korea’s_Yoon:_Embittered_survivor
                  staggers_on_after_impeachment_vote⠀⇛


                       Yoon's struggles at home have overshadowed the
                       relative success he has had on the global stage.


                # ⚓ The Straits Times ☛ President_Yoon’s_impeachment_motion
                  puts_focus_on_South_Korea’s_generational_gap⠀⇛


                       At the heart of the divide are two very different
                       experiences of life in South Korea.


                # ⚓ The Straits Times ☛ Martial_law,_protest,_walkout:_South
                  Korea’s_wild_week⠀⇛


                       A look at recent events in a country thought to
                       have consigned dictatorships to history.


                # ⚓ The Straits Times ☛ Singapore_Embassy_in_Seoul:_Stay
                  vigilant_in_case_of_further_protests⠀⇛


                       Singaporeans should avoid areas with large crowds
                       and keep up to date on local South Korean news.


                # ⚓ The Straits Times ☛ South_Korean_opposition_to_propose_new
                  impeachment_Bill_after_bid_to_impeach_President_Yoon_fails⠀⇛


                       Nearly 150,000 people gathered to protest, calling
                       for the impeachment and arrest of Mr Yoon.


                # ⚓ The Straits Times ☛ Yoon_to_depart_office_early,_will_not
                  participate_in_state_affairs_before_then,_says_party_leader⠀⇛


                       The announcement was made at a joint press briefing
                       on Dec 8.


                # ⚓ The Straits Times ☛ Impeachments,_coups_and_deaths:_The
                  dark_side_of_South_Korean_presidency⠀⇛


                       Park Geun-hye and Lee Myung-bak are among the
                       disgraced ex-presidents.


                # ⚓ The Straits Times ☛ Who_are_the_ruling_party_lawmakers_in
                  South_Korea_who_voted_on_Yoon’s_impeachment?⠀⇛


                       Three lawmakers from the ruling party cast their
                       vote on the impeachment motion on Dec 7.


                # ⚓ The Straits Times ☛ South_Korean_protesters_offered_prepaid
                  coffees,_snacks_as_support_poured_in_from_far_away⠀⇛


                       One supporter paid for 90 bowls of soup for
                       protesters outside the National Assembly in Seoul.


                # ⚓ The Straits Times ☛ South_Korea’s_ruling_party_floor_leader
                  offers_to_resign⠀⇛


                       Mr Choo Kyung-ho was among 105 People Power Party
                       lawmakers who boycotted the impeachment vote on Dec
                       7.


                # ⚓ The Straits Times ☛ South_Korea’s_PM_to_convene_cabinet
                  meeting;_issue_joint_statement_with_ruling_party_leader⠀⇛


                       An extraordinary Cabinet meeting will be convened
                       at 2pm after the joint statement is released.


                # ⚓ The Straits Times ☛ South_Korea_police_raid_ex-defence
                  minister’s_official_residence,_office⠀⇛


                       Mr Kim was put under emergency arrest, and had his
                       phone confiscated.


                # ⚓ JURIST ☛ Impeachment_motion_against_South_Korea_president
                  fails_in_National_Assembly⠀⇛


                       An impeachment motion against South Korean
                       President Yoon Suk Yeol failed to proceed in the
                       country’s National Assembly on Saturday after the
                       session fell short of the required quorum. Only 195
                       members were present at the session, below the two-
                       thirds threshold of 200 lawmakers needed to
                       initiate the impeachment process.


          o § Transparency/Investigative Reporting⠀➾


                # ⚓ The Dissenter ☛ Biden's_Legacy:_Enhancing_The_'State
                  Secrets_Privilege'_To_Protect_The_National_Security_State⠀⇛


                # ⚓ El País ☛ Dozens_of_the_world’s_most_cited_scientists_stop
                  falsely_claiming_to_work_in_Saudi_Arabia⠀⇛


                       This newspaper unveiled that Saudi universities
                       were paying up to €70,000 a year to prestigious
                       researchers to artificially pump up Arab
                       institutions in international academic rankings


          o § Environment⠀➾


                # ⚓ Wired ☛ These_3_Things_Are_Standing_in_the_Way_of_a_Global
                  Plastics_Treaty⠀⇛


                       While no deal was agreed in Busan, South Korea,
                       where the talks took place, there was a feeling of
                       renewed determination to create an ambitious and
                       robust plastics treaty. In a memorable moment
                       during the debate, a delegate from Rwanda spoke
                       about the need for reductions in plastic production
                       to confront mounting pollution, and was met with a
                       standing ovation.


                # ⚓ Deutsche Welle ☛ Why_fertile_land_is_turning_to_desert⠀⇛


                       These already-arid lands are marked by low rainfall
                       yet support 45% of the world's agriculture. Now,
                       extreme drought linked to human-made global heating
                       is helping to transform this area into an infertile
                       wasteland.


                       With one in three of the world's people living in
                       these drylands, experts say that food insecurity,
                       poverty, and mass displacement will accompany
                       desertification.


                # § Energy/Transportation⠀➾


                      # ⚓ Deutsche Welle ☛ 2024-11-26_[Older]_Japan_space
                        agency_aborts_Epsilon_S_rocket_test_after_fire⠀⇛


                      # ⚓ Kevin Boone ☛ Kevin_Boone:_They_don’t_make_’em_like
                        that_any_more:_things_you_can_switch_off⠀⇛


                             Back in the day, most electrical or
                             electronic appliances had an on/off switch.
                             When you switched an appliance off, it was
                             really off; it consumed no energy.


                             In 2024, the only electrical appliance in my
                             house that I can actually switch off when I’m
                             not using it, without disconnecting it from
                             the electricity supply, is my toaster.
                             Everything else, without exception, consumes
                             some small amount of energy, even when it
                             appears to be switched off. In this article I
                             consider how much energy I’m wasting, and
                             whether it really matters. Of course, any
                             wasted energy is a bad thing for the natural
                             environment; a more pragmatic question is how
                             significant is our abandonment of on/off
                             switches, compared to other ways in which we
                             waste energy every day?


                      # ⚓ Wired ☛ To_Build_Electric_Cars,_Jaguar_Land_Rover_Had
                        to_Redesign_the_Factory⠀⇛


                             Halewood has now been modded for cars of the
                             future. A fleet of 750 robots (“our version
                             of the Terracotta Army,” says Ford), laser
                             alignment technology, and cloud-based
                             infrastructure join 3,500 JLR employees on
                             the factory floor, expanded by 32,364 sqm
                             (348,363 sq ft) to produce the manufacturer’s
                             next-generation vehicles. New calibration
                             rigs measure the responsiveness of a
                             vehicle’s advanced driver-assistance systems,
                             such as its cameras and sensors. Safety
                             levels can be calibrated for future
                             autonomous driving, says Ford.


                      # ⚓ Modern Diplomacy ☛ There_is_no_AI_without_energy⠀⇛


                             The rise of AI is quickly emerging as one of
                             the most important energy trends today. AI is
                             already helping to accelerate the discovery
                             of new energy materials and technologies, and
                             it can be utilised to improve how energy is
                             produced, consumed and distributed. At the
                             same time, expanding AI and the digital
                             economy requires huge data centres, which can
                             each consume as much electricity as 100,000
                             households. Although data centres currently
                             account for just 1% of electricity usage
                             globally, there are already significant
                             challenges to the grid in areas where they
                             are concentrated, and demand is expected to
                             keep growing. For example, in Ireland, data
                             centres already account for 20% of
                             electricity demand, while in the US state of
                             Virginia, the share is over 25%.


                      # ⚓ Deutsche Welle ☛ Trenitalia_tops_list_of_Europe's
                        rail_operators_—_study⠀⇛


                             The ranking was published by the European NGO
                             Transport & Environment (T&E).Trenitalia was
                             followed by Swiss operator SBB and Czech
                             company RegioJet. Austria's ÖBB came in
                             fourth, ahead of France's SCNF.


                # § Overpopulation⠀➾


                      # ⚓ The Straits Times ☛ ‘Having_3_kids_is_the_coolest’:
                        China_ramps_up_push_for_more_babies,_but_are_couples
                        biting?⠀⇛


                             Couples and experts say the government's
                             measures to build a “birth-friendly society”
                             aren't all that enticing.


          o § Finance⠀➾


                # ⚓ Deutsche Welle ☛ 2024-11-26_[Older]_Germany_needs_288,000
                  foreign_workers_annually_until_2040_—_study⠀⇛


                # ⚓ Deutsche Welle ☛ 2024-11-26_[Older]_El_Salvador_plots_its
                  future_economic_miracle⠀⇛


          o § AstroTurf/Lobbying/Politics⠀➾


                # ⚓ Off Guardian ☛ WATCH:_Repersoning_Whitney_Webb⠀⇛


                       Whitney Webb is being digitally repersoned. What
                       does this mean for the future of Hey Hi (AI) and
                       digital ID? What does this mean for the future of
                       humanity? And can it motivate us to create a post-
                       social control media internet landscape?


                # ⚓ Deutsche Welle ☛ 2024-11-26_[Older]_Senegal's_optimism
                  rises_with_Diomaye's_reform_mandate⠀⇛


                # ⚓ Deutsche Welle ☛ 2024-11-26_[Older]_Namibia's_SWAPO_faces
                  new_challenges_in_tight_election⠀⇛


                # ⚓ Deutsche Welle ☛ 2024-11-26_[Older]_Pakistan:_Imran_Khan
                  supporters_storm_capital⠀⇛


                # ⚓ Deutsche Welle ☛ 2024-11-26_[Older]_Pakistan:_Pro-Khan
                  protests_stoke_fear_of_military_takeover⠀⇛


                # ⚓ Deutsche Welle ☛ 2024-11-26_[Older]_Pakistan_protests:_Khan
                  supporters_reach_central_Islamabad⠀⇛


                # ⚓ India Times ☛ Reverse_flip_in_cart,_Flipkart_plans_IPO
                  delivery_in_12-15_months⠀⇛


                       Flipkart, India’s largest ecommerce firm valued at
                       $36 billion, is preparing for an initial public
                       offering (IPO) in the coming year with a definite
                       timeline of 12-15 months, multiple people aware of
                       the development said. The proposed listing, which
                       is likely to be the largest share issue by a new-
                       economy company, will mark a seminal moment for the
                       country’s startup sector that is now regarded as
                       the third largest worldwide.


                # ⚓ Tech Central (South Africa) ☛ Practical_cybersecurity:
                  moving_beyond_fear-based_awareness⠀⇛


                       Cybersecurity programmes often emphasise awareness
                       without providing clear, actionable steps. This
                       approach can lead to “awareness fatigue”, where
                       employees feel overwhelmed and disengaged. Anna
                       Collard, senior vice president for content strategy
                       and evangelist at KnowBe4 Africa, explains:
                       “Constant warnings about cyberthreats can leave
                       employees feeling like there’s no safe way forward,
                       which leads to inaction.”


                       When employees see cyber risks as insurmountable,
                       they may avoid addressing them altogether. Instead
                       of creating a proactive culture, organisations
                       inadvertently foster paralysis. To counter this,
                       companies must focus on strategies that build
                       confidence rather than fear.


                # § Misinformation/Disinformation/Propaganda⠀➾


                      # ⚓ The Washington Post ☛ The_‘ghost_engineers’_haunting
                        Silicon_Valley_programming_payrolls⠀⇛


                             Denisov-Blanch shared his findings, from
                             ongoing research not yet published in peer-
                             reviewed form, after a Silicon Valley
                             investor reignited a long-running debate over
                             the existence of ghost engineers.


                             “Everyone thinks this is an exaggeration but
                             there are so many software engineers … who I
                             know personally who literally make ~2 code
                             changes a month, few emails, few meetings,
                             remote work, < 5 hours/ week, for ~$200-
                             300k,” Deedy Das said in an X post one
                             morning last month.


                      # ⚓ The Register UK ☛ China_launches_AI_that_writes
                        politically_correct_documents⠀⇛


                             Xuexi is an app that offers info about
                             Chinese president Xi Jinping's life and
                             thoughts – plus tools that allow users to
                             chat about them together.


                             Reports from Hong Kong and China claim Baidu
                             teamed with Xuexi to create a tool that
                             Chinese bureaucrats can use to check
                             documents they create to ensure they properly
                             reflect Xi Jinping's thoughts – and that
                             references to his ideas come from fact-
                             checked sources.


                      # ⚓ Deutsche Welle ☛ Fact_check:_Image_does_not_show
                        torture_in_Syria⠀⇛


                             A reverse image search shows the photo
                             appears online in a Farsi language article
                             which can be found here and alocal website
                             report about an exhibition at the Ebrat
                             Museum in Tehran, Iran. We found photos with
                             the same setting on the museum's own website


                             as well.


                             We confirmed the results by looking at other
                             sources and information on the Ebrat Museum
                             in the Iranian capital. The museum displays
                             wax figures in scenes showing how political
                             prisoners were held in horrible conditions
                             and subjected to torture and inhumane
                             treatment by Mohammed Reza Shah Pahlavi's
                             secret police (SAVAK) during the 1970s.


          o § Censorship/Free Speech⠀➾


                # ⚓ JURIST ☛ Hong_Kong_court_rejects_protester’s_bid_for_early
                  release_under_national_security_law⠀⇛


                       The Hong Kong Court of First Instance upheld prison
                       authorities’ refusal to grant remission to a
                       prisoner convicted of offenses “endangering
                       national security” on Friday. The case marks the
                       first judicial review against the Safeguarding
                       National Security Ordinance (SNSO) enacted by the
                       region’s legislature in March of this year.


                # ⚓ Project Censored ☛ 2024-12-03_[Older]_#5._Abortion_Services
                  Censored_on_Social_Platforms_Globally⠀⇛


                # ⚓ TruthOut ☛ 2024-11-30_[Older]_Berkeley_Free_Speech_Movement
                  Forged_an_Organizing_Blueprint_That’s_Relevant_Now⠀⇛


                # ⚓ EFF ☛ 2024-12-03_[Older]_🍿_Today’s_Double_Feature:_Privacy
                  and_Free_Speech⠀⇛


                # ⚓ Project Censored ☛ 2024-12-03_[Older]_#20._Kids_Online
                  Safety_Act_(KOSA)_Poses_Serious_First_Amendment_Concerns⠀⇛


                # ⚓ VOA News ☛ Georgian_journalists_allege_brutal_beatings;
                  protests_rage_against_ending_EU_talks⠀⇛


                       Police have been using increasing force in their
                       attempts to curb the demonstrations, which have
                       centered on the parliament building in the capital,
                       Tbilisi. Riot police have used water cannons and
                       tear gas every day to disperse the rallies, beating
                       scores of protesters who threw fireworks at police
                       officers and built barricades on the Georgian
                       capital’s central boulevard.


                # ⚓ The Atlantic ☛ Appeasement_in_the_New_Age_of_Trump⠀⇛


                       It is a very ominous thing if our leading forums
                       for discussion of public affairs are already
                       feeling the chill of intimidation and responding
                       with efforts to appease.


                       I write these words very aware that I’m probably
                       saying goodbye forever to a television platform
                       that I enjoy and from which I have benefited as
                       both viewer and guest. I have been the recipient of
                       personal kindnesses from the hosts that I have not
                       forgotten.


                       I do not write to scold anyone; I write because
                       fear is infectious. Let it spread, and it will
                       paralyze us all.


                       The only antidote is courage. And that’s
                       infectious, too.


                # ⚓ RFERL ☛ Georgian_Pro-EU_Protesters_On_Streets_Again_After
                  Violent_Government_Crackdown⠀⇛


                       Tensions have been running high in Georgia since
                       the ruling Georgian Dream party won an election on
                       October 26 that the pro-Western opposition and
                       Georgian President Salome Zurabishvili say was
                       rigged with the help of Moscow.


                       Earlier on December 6, Zurabishvili called on Prime
                       Minister Irakli Kobakhidze to step down as pressure
                       mounts on the government amid a violent crackdown
                       on unrest.


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


                # ⚓ US News And World Report ☛ The_US_Believes_Journalist
                  Austin_Tice_Is_Alive_After_Disappearing_in_Syria_in_2012,
                  Biden_Says⠀⇛


                       The United States has no new evidence that Tice is
                       alive, but continues to operate under that
                       assumption, according to a U.S. official. The
                       official, who was not authorized to comment
                       publicly and spoke on condition of anonymity, said
                       the U.S. will continue to work to identify where he
                       is and to try to bring him home.


                # ⚓ BIA Net ☛ Journalism:_Self-defense_of_society⠀⇛


                       With the emergence of a strong social vein in
                       Kurdish politics, the Özgür Gündem newspaper, which
                       began its publication life in May 1992 to reach a
                       wide audience, became a constant target of the
                       rulers of the state. Despite the killing of child-
                       aged newspaper distributors, reporters, the arrest
                       of its employees, and its repeated closures, the
                       newspaper, which started again under different
                       names, created the Free Press (Özgür Basın)
                       tradition through its stubbornness.


                       On Dec 3, 1994, although the İstanbul and Ankara
                       offices were bombed simultaneously by the written
                       order of then Prime Minister Tansu Çiller, we are
                       talking about a newspaper that was published the
                       next day. In essence, this newspaper engraved on
                       its masthead a defense of truth that produces,
                       resists, and never gives up against pressure,
                       closures, and censorship.


          o § Civil Rights/Policing⠀➾


                # ⚓ Project Censored ☛ 2024-12-03_[Older]_#9._Controversial
                  Acquitted-Conduct_Sentencing_Challenged_by_US_Commission⠀⇛


                # ⚓ Project Censored ☛ 2024-12-03_[Older]_#16._Activists_Rally
                  outside_Insurance_Giants,_Denouncing_Fossil_Fuel
                  Investments⠀⇛


                # ⚓ Project Censored ☛ 2024-12-03_[Older]_#15._Bottled_Water
                  Consumption_Exacerbates_Socioeconomic_Inequalities⠀⇛


                # ⚓ The Telegraph UK ☛ White_British_students_not_allowed_to
                  apply_for_security_services_internship⠀⇛


                       “I understand the need to encourage applications
                       from a wide range of backgrounds, including
                       underrepresented minorities,” he said.


                       “But this is an overtly racist policy and it should
                       be immediately discontinued. It implies it is
                       impossible for any white person to be deprived or
                       deserving of assistance.”


                       One former senior Royal Air Force (RAF) officer
                       said he believed the decision not to allow poor
                       white students to apply is “blatant
                       discrimination”.


                # ⚓ RFA ☛ Tibetan_monk_in_poor_health_after_his_release_from
                  prison_–_Radio_Free_Asia⠀⇛


                       Chinese authorities consider it illegal for
                       Tibetans to contact exiles. They are particularly
                       sensitive about contacts made with the Dalai Lama,
                       who fled to northern India in 1959 and has been
                       living there ever since.


                # ⚓ SBS ☛ Over_half_of_Australian_teens_have_experienced_sexual
                  harassment:_Report_|_SBS_News⠀⇛


                       Sexual harassment refers to when a person behaves
                       in a sexual manner that is unwelcome and makes
                       another person feel intimidated, uncomfortable,
                       degraded or offended, according to the Australian
                       Bureau of Statistics (ABS). It can take different
                       forms, including touching and grabbing, sexual
                       remarks and showing sexually explicit images.


                       The report is the first Australian evidence from a
                       nationally representative sample on young people's
                       experience of sexual harassment, including those
                       under 18 years, according to AIFS.


                # ⚓ The Walrus ☛ When_Your_Landlord_Is_a_Billion-Dollar
                  Corporation_|_The_Walrus⠀⇛


                       That’s not much reassurance for tenants like Ali
                       who, across many parts of Canada, are feeling
                       squeezed by financialized landlords. Essentially,
                       the financialization of housing refers to the
                       process of turning housing into a tool primarily
                       for profit. Deep-pocketed entities, like REITs,
                       amass cheap housing stock. Their investors, in
                       turn, expect high returns on that investment, which
                       is why these landlords deploy strategies that
                       squeeze out higher rents from tenants.


          o § Digital Restrictions (DRM)⠀➾


                # ⚓ Techdirt ☛ Steam_Adds_Timeline_Requirements,_Refunds_Around
                  Its_Pre-Order_And_Season_Pass_Policies⠀⇛


                       Valve’s Steam PC gaming storefront appears to be on
                       a bit of a pro-consumer kick as of late and I like
                       it. We recently discussed the platform’s update to
                       its purchase process, which now specifically
                       includes explicit language around how the purchase
                       is that of a revokable license to play the game,
                       rather than any misleading or buried language that
                       would lead a consumer to think they were actually
                       buying the game outright. This doesn’t solve the
                       problem of non-ownership of digital goods itself,
                       of course, but it at least is a step in the
                       direction of better informing the customer as to
                       what they are getting in exchange for their
                       dollars.


      § Monopolies/Monopsonies⠀➾


          o § Patents⠀➾


                # § Kangaroo Courts⠀➾


                      # ⚓ IP Kat ☛ 2024-11-26_[Older]_Pharma_&_Biotech_Patent
                        Litigation_Summit_(&_UPC_Litigation_Forum)_returns_to
                        Amsterdam_in_January_with_15%_IPKat_readers’_discount
                        [Ed: Event about fake and illegal court, passing EPO
                        corruption to the EU level]⠀⇛


                # § Software Patents⠀➾


                      # ⚓ University of Michigan ☛ Professors’_perspectives_on
                        textbook_prices⠀⇛


                             Electronic Resources Officer Kathleen Folger
                             told The Daily that despite the burden of
                             textbook prices, students should not pirate —
                             or illegally download without patent or
                             copyright permission — textbooks because of
                             the computer safety risk.


          o § Trademarks⠀➾


                # ⚓ IP Kat ☛ 2024-11-30_[Older]_CJEU:_Commission_could_disagree
                  with_national_authorities_on_GI_applications_under_Regulation
                  1151/2012_(but_not_under_Regulation_2024/1143)⠀⇛


                # ⚓ IP Kat ☛ 2024-11-27_[Older]_[Book_review]_Design_law:
                  Global_Law_and_Practice⠀⇛


                # ⚓ IP Kat ☛ 2024-11-30_[Older]_Wine-maker's_opposition_against
                  EUTM_of_an_elderly_man's_face_found_by_EUIPO_to_be_nothing
                  more_than_sour_grapes⠀⇛


          o § Copyrights⠀➾


                # ⚓ Torrent Freak ☛ 'Historic_Decision'_to_Imprison_Pirate_IPTV
                  User_Smells_of_Propaganda⠀⇛


                       Greece is buzzing with news of a historic, landmark
                       decision by a local court, to imprison a person for
                       five months for subscribing to a pirate IPTV
                       service. The news warrants an informed conversation
                       about creators' rights and how the judicial system
                       has sharpened its response to piracy. However,
                       until evidence is produced to the contrary, the
                       story should be stamped "propaganda" and noted for
                       an offense of its own: a distraction from genuine
                       progress in the fight against piracy.


                # ⚓ US News And World Report ☛ 2024-11-29_[Older]_Canadian_News
                  Companies_Challenge_OpenAI_Over_Alleged_Copyright_Breaches⠀⇛


                # ⚓ CBC ☛ 2024-11-29_[Older]_Media_outlets,_including_CBC,_sue
                  ChatGPT_creator_—_but_copyright_law_is_unclear_on_AI,_experts
                  say⠀⇛


                # ⚓ US News And World Report ☛ 2024-11-29_[Older]_Canadian_News
                  Publishers_Sue_OpenAI_Over_Alleged_Copyright_Infringement⠀⇛


          o § Gemini* and Gopher⠀➾


                # § Personal/Opinions⠀➾


                      # ⚓ Why_would_anyone_be_a_henchman_for_an_evil
                        organization?⠀⇛


                             Years ago I asked how evil corporations hire
                             people [1], but there's the other side: why
                             work for an evil corporation? This After
                             Hours video [2] attempts to answer that
                             question.


                      # ⚓ Grief⠀⇛


                             We got the sympathy card from the vet clinic
                             today. It spoke of the rainbow bridge and the
                             reunion to come. It's so damn _tempting_ to
                             believe that the loved ones you lost are in
                             in fact restored to health and waiting for
                             you to join them on the other side of this
                             life. When you're grieving, that hope is like
                             a fucking knife in the heart. You'd give so
                             much, believe any goddamn ridiculous thing,
                             betray any trust, just for that to be true.


                             I wasn't raised in any particular faith
                             tradition. I'm weeping as I write this,
                             uncertain what to believe, what to want,
                             where to find comfort. I intuit that life is
                             in some sense a circle, that the lives we
                             absorb for our continuance must at some point
                             be returned to the earth to nourish new life,
                             that space must be made. I _know_ this.


                # § Technology and Free Software⠀➾


                      # § Internet/Gemini⠀➾


                            # ⚓ Happy_Two_Years⠀⇛


                                   In less than a week I'll have been
                                   writing here for two years. My first
                                   online journal, on the web and on a
                                   variety of domains, lasted just a
                                   smidge more than that. Two and a half
                                   years? Between the first entries I've
                                   found in the wayback (I think I was
                                   writing before that, but, nothing
                                   archived) and when I shifted to
                                   LiveJournal. I've said it here before,
                                   but LiveJournal was the slow death of
                                   everything I loved about life-writing
                                   online. Everything forced into the same
                                   template, the same flow. A harbinger of
                                   what was to come, really, with CMSs and
                                   blogs and standardized designs giving
                                   rise to the WordPress Web. I wrote
                                   there for almost a decade, but really,
                                   only regularly for a few years at the
                                   start.


                                   2-3 years has been in the past my
                                   limit. Hoping that isn't true here as
                                   well. I've been keeping up on the small
                                   web, and it'll be two years there early
                                   next year. That feels closest to my old
                                   site (being, you know, an actual
                                   website), even though there, the
                                   community feels a lot smaller, though I
                                   suspect it's actually larger, just less
                                   inclined to email or drop a guestbook
                                   note. The quiet, there and here, has
                                   been the happiest part. No constantly-
                                   lit notification icons. No emails to
                                   say that someone's left a comment. Just
                                   what I find if I remember to check.
                                   Slower, better. I've changed tildes
                                   once. I was at rawtext.club at the
                                   start. But after the disk failure (and
                                   subsequent total data loss), I decided
                                   to move elsewhere. Thank goodness I'd
                                   been diligent about backing things up,
                                   putting them in private git repos. The
                                   developer's instinct, I guess: if it's
                                   worth doing, it's worth versioning.


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




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