𝕿𝖊𝖈𝖍𝖗𝖎𝖌𝖍𝖙𝖘 Bulletin for Friday, June 13, 2025
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Generated Sat 14 Jun 02:49:22 BST 2025
Created by Dr. Roy Schestowitz (𝚛𝚘𝚢 (at) 𝚜𝚌𝚑𝚎𝚜𝚝𝚘𝚠𝚒𝚝𝚣 (dot) 𝚌𝚘𝚖)
Full hyperlinks for navigation omitted but are fully available in the originals
The corresponding HTML versions are at 𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈
Latest in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒕𝒙𝒕 and older bulletins can be found at 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒕𝒙𝒕-𝒂𝒓𝒄𝒉𝒊𝒗𝒆𝒔
Full IPFS index in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒊𝒑𝒇𝒔 and as plain text in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒊𝒑𝒇𝒔/𝒕𝒙𝒕
Gemini index for the day: gemini://gemini.techrights.org/2025/06/13/


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

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QmT3gTQRv33wEDtJveL8DiqiacGeRaxEbRFDUyVSJEAvDL
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╒═══════════════════ 𝐈𝐍𝐃𝐄𝐗 ═══════════════════════════════════════════════════╕

⦿ Techrights  -  American Imperialism and Microsoft Plagiarism

⦿ Techrights  -  IRC Proceedings: Thursday, June 12, 2025

⦿ Techrights  -  Over at Tux Machines...

⦿ Techrights  -  Recent Blunders in Microsoft GitHub (e.g. Slop-Generated Bug Reports or GPL Violations 'as a Service') Taking Their Toll?

⦿ Techrights  -  Slopwatch and Yet More Holes in 'Secure Boot' (as Usual!), Promoted Inside Linux by the Man We Are Suing

⦿ Techrights  -  The More Time Passes, the Better Our Advice on Social Control Media Seems

⦿ Techrights  -  The Price of Exposing Corruption in Poland (and Elsewhere)

⦿ Techrights  -  Twitter (X) is Dying, Now It's Just Like a Mafia-Type Operation of the Man Who Does Nazi Salutes in Public

⦿ Techrights  -  UK High Court Blasts Brett Wilson LLP for Misusing "GDPR" After Failed Efforts to Censor Critics Using 'Libel' Claims

⦿ Techrights  -  When They Have Nothing Left to Help Advance Abusive Litigation for Microsoft People... Other Than Throwing ~500 Pages of Someone Else's Work Into a PDF

⦿ Techrights  -  X11 is Free Software

 ䷼ Bulletin articles (as HTML) to comment on (requires login):
https://techrights.org/n/2025/06/13/American_Imperialism_and_Microsoft_Plagiarism.shtml
https://techrights.org/n/2025/06/13/IRC_Proceedings_Thursday_June_12_2025.shtml
https://techrights.org/n/2025/06/13/Over_at_Tux_Machines.shtml
https://techrights.org/n/2025/06/13/Recent_Blunders_in_Microsoft_GitHub_e_g_Slop_Generated_Bug_Repo.shtml
https://techrights.org/n/2025/06/13/Slopwatch_and_Yet_More_Holes_in_Secure_Boot_as_Usual_Promoted_I.shtml
https://techrights.org/n/2025/06/13/The_More_Time_Passes_the_Better_Our_Advice_on_Social_Control_Me.shtml
https://techrights.org/n/2025/06/13/The_Price_of_Exposing_Corruption_in_Poland_and_Elsewhere.shtml
https://techrights.org/n/2025/06/13/Twitter_X_is_Dying_Now_It_s_Just_Like_a_Mafia_Type_Operation_of.shtml
https://techrights.org/n/2025/06/13/UK_High_Court_Blasts_Brett_Wilson_LLP_for_Misusing_GDPR_After_F.shtml
https://techrights.org/n/2025/06/13/When_They_Have_Nothing_Left_to_Help_Advance_Abusive_Litigation_.shtml
https://techrights.org/n/2025/06/13/X11_is_Free_Software.shtml

 ䷞ Followed by Daily Links (assorted news picks curated and categorised):
https://techrights.org/n/2025/06/13/Gemini_Links_13_06_2025_Not_virtues_and_Project_Yeet_Broadband.shtml
https://techrights.org/n/2025/06/13/Gemini_Links_13_06_2025_People_You_ve_Left_Behind_Life_Update_a.shtml
https://techrights.org/n/2025/06/13/Links_13_06_2025_Journalists_Targeted_by_Cracking_Chin_Japan_an.shtml
https://techrights.org/n/2025/06/13/Links_13_06_2025_US_Reduces_Nonessential_Staff_at_Baghdad_Embas.shtml

                    ䷩ 𝚕𝚒𝚗𝚎 80

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/06/13/American_Imperialism_and_Microsoft_Plagiarism.shtml
    Gemini version at gemini://gemini.techrights.org/n/2025/06/13/American_Imperialism_and_Microsoft_Plagiarism.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ American Imperialism and Microsoft
Plagiarism⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jun 13, 2025


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Intrepid_museum_at_Hudson,_Manhattan,_New_York_City.⦈_


All_your_codebases (and text, images etc.) are "belong to us"?


This week has been exceptionally productive for us, not just online, but also
offline. We're making_a_new_"home"_for_the_birds, we_celebrated_a_site_turning
21, and yesterday afternoon we finished_a_bottle_of_expensive_sparkling_wine to
celebrate another important milestone/record.


We're also glad to see that more of Europe now recognises and publicly speaks
about the Microsoft threat. Microsoft is correctly seen as a threat. More_towns
abandon_Microsoft. There's a_lot_of_Microsoft_layoffs coming soon, not related
to the_wave_from_2_weeks_ago and last_month.


From my personal experience, what happens when Microsoft loses the plot is...
it will simply attack_people. It'll attack critics. It wants its utter_lies_to
prevail so that shareholders will pour_out_money_(to_be_lost!)_while_debt
soars.


Techrights will therefore do what Microsoft does not want it to do: it'll write
even more about Microsoft. █


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


    * When_They_Have_Nothing_Left_to_Help_Advance_Abusive_Litigation_for
      Microsoft_People..._Other_Than_Throwing_~500_Pages_of_Someone_Else's_Work
      Into_a_PDF
    * Recent_Blunders_in_Microsoft_GitHub_(e.g._Slop-Generated_Bug_Reports_or
      GPL_Violations_'as_a_Service')_Taking_Their_Toll?


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

                    ䷩ 𝚕𝚒𝚗𝚎 1419

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/06/13/IRC_Proceedings_Thursday_June_12_2025.shtml
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⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ IRC Proceedings: Thursday, June 12,
2025⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jun 13, 2025


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


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


                                              #techrights_log                                                                                           #boycottnovell_log


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


                                         #boycottnovell-social_log                                                                                        #techbytes_log


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


                          Enter_the_IRC_channels_now


    * Links_12/06/2025:_Portland_Homeless_Deaths_Quadruple,_COVID_Cases_Surge
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    * Over_at_Tux_Machines...


⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⡄⠀⠀⠀⠀⠀⠉⠛⠆⠀⠀⠀⠀⠀⢀⣿⣿⣷⡀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣾⣿⣿⡇⠀⠀⠀⠀⠁⣄⣤⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣧⡀⠀⠀⠀
⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣇⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⢠⣿⣿⣿⠀⠀⠀⠀⠀⢠⡟⢁⡆⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣷⠀⠀⠀
⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⡄⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣸⣿⣿⡇⠀⠀⠀⠀⠀⣸⣅⣾⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡟⠀⠀⠀
⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⢠⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢠⣿⣿⣿⠇⠀⠀⠀⣼⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡏⠁⠀⠀⠀
⣿⣿⣿⣿⣿⣿⡂⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⢰⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⣿⣿⣿⠁⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠘⠿⠋⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⢸⣿⣿⠇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⣼⣿⡇⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢿⡏⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠚⢿⣿⣷⣦⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠻⢿⣿⣿⣿⣿⣷⣤⣀⣀⣀⣀⣀⣸⣿⣿⠃⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢱⣦⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⢿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣤⣤⣾⣿⣷⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣄⣀⣻⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⢠⣤⣼⣓⡶⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠁⠀⠀⠐⠊⠄⢤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⠀⠀⠀⠀⠀⠀⠀⣠⡀⠀⠀⠘⢚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠘⣿⣷⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣴
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠚⠂⠀⠲⠿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣼⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣴⣄⠀⠀⠀⠀⢀⣾⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⣛⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠻⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠄⠀⠀⠀⠀⢀⠀⣸
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣤⣀⣠⣤⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 1648

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/06/13/Over_at_Tux_Machines.shtml
    Gemini version at gemini://gemini.techrights.org/n/2025/06/13/Over_at_Tux_Machines.gmi

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


posted by Roy Schestowitz on Jun 13, 2025


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


⚓  Updated This Past Day⠀⇛


   1. ⚓ Rocky_Linux_10_Is_Out_Now_as_Free_Alternative_to_Red_Hat_Enterprise
      Linux_10⠀⇛


           Rocky Linux 10 has been released today as a free alternative to
           the Red Hat Enterprise Linux 10 operating system series, adding
           various major changes both from upstream and in-house.


   2. ⚓ No,_Linux_didn't_eat_your_RAM,_here's_what's_actually_happening⠀⇛


           For those used to Windows looking to make the jump to Linux


   3. ⚓ Milestones [original]⠀⇛


           Some time this year we hope to take live a full-site search


      ⚓  New⠀⇛


   4. ⚓ GNU_Nano_8.5_Command-Line_Text_Editor_Released⠀⇛


           GNU Nano 8.5 command-line text editor rolls out with saved
           anchors


   5. ⚓ GNOME_49_Will_Require_Deeper_systemd_Integration⠀⇛


           Upcoming GNOME releases will require systemd for key session
           features


   6. ⚓ These_7_Apps_Helped_Me_Use_Linux_After_Ditching_Windows⠀⇛


           Switching operating systems can be a daunting task


   7. ⚓ Here's_What_Sets_Kubuntu_Apart_From_Ubuntu_in_Daily_Use⠀⇛


           When talking about Linux desktop distributions


   8. ⚓ Free_and_Open_Source_Software⠀⇛


           This is free and open source software


   9. ⚓ GNU/Linux_and_BSD_Leftovers⠀⇛


           UNIX and more


  10. ⚓ Red_Hat_Leftovers⠀⇛


           Red Hat related news


  11. ⚓ Free,_Libre,_and_Open_Source_Software_and_Sharing⠀⇛


           FOSS leftovers


  12. ⚓ GNU/Linux_in_Devices_and_Embedded⠀⇛


           4 stories


  13. ⚓ today's_howtos⠀⇛


           only a few for now


  14. ⚓ GNOME:_“Damned_Lies”,_Design_of_Sysprof-eBPF,_and_systemd⠀⇛


           some GNOME picks


  15. ⚓ Programming_Leftovers⠀⇛


           Development centric picks


  16. ⚓ Android_Leftovers⠀⇛


           Android Auto 14.4 update rolling out widely


  17. ⚓ Gitea_1.24:_New_APIs,_Smarter_Markdown,_and_Better_Admin_Tools⠀⇛


           Gitea 1.24 self-hosted Git service released with performance
           boosts


  18. ⚓ The_end_of_Windows_10_is_approaching,_so_it’s_time_to_consider_Linux
      and_LibreOffice⠀⇛


           The countdown has begun. On 14 October 2025, Microsoft will end
           support for Windows 10


  19. ⚓ Ready_to_ditch_Windows_10?_Here_are_12_reasons_Linux_Mint_is_the
      perfect_introduction_for_Windows_converts⠀⇛


           Linux Mint is one of the best choices for those converting to
           the free and open-source platform from Windows


  20. ⚓ The_newest_Kubuntu_Focus_M2_Linux_laptop_features_Intel_Arrow_Lake_and
      NDIVIA_RTX_50_Series_graphics⠀⇛


           The Kubuntu Focus M2 is a Linux laptop with hardware designed
           for gaming or mobile workstation-class performance


  21. ⚓ PyQSO_–_contact_logging_tool_for_amateur_radio_operators⠀⇛


           PyQSO is a contact logging tool for amateur radio operators


  22. ⚓ Can't_upgrade_to_Windows_11?_This_Linux_distro_is_the_best_alternative
      for_your_Windows_10_PC⠀⇛


           SDesk is a lightweight Linux distro with a familiar interface


  23. ⚓ Free_and_Open_Source_Software⠀⇛


           This is free and open source software


  24. ⚓ Ubuntu_Lomiri_–_Linux_distribution_for_phones,_tablets,_laptops,_and
      desktops⠀⇛


           Lomiri was previously known as Unity8


  25. ⚓ Jack_Wallen's_How-tos⠀⇛


           If you want the fastest, most reliable method of downloading
           online files on Linux


  26. ⚓ today's_leftovers⠀⇛


           only a few leftovers for now


  27. ⚓ Microsoft/Windows_TCO_and_Entrapment⠀⇛


           doing it wrong


  28. ⚓ Open_Hardware/Modding:_FusionTech,_Raspberry_Pi,_and_More⠀⇛


           Hardware picks, 3 for now


  29. ⚓ Red_Hat_Leftovers⠀⇛


           buzzwords and more


  30. ⚓ 5_MacOS-like_Linux_distros_that_can_rescue_your_old_Intel_Mac_before
      support_ends⠀⇛


           Yes, you can install Linux on Macs


  31. ⚓ Canonical/Ubuntu:_The_Fall_to_GAFAM,_Mindless_Buzzwords,_and_More⠀⇛


           bad faith moves


  32. ⚓ today's_howtos⠀⇛


           many howtos for now


  33. ⚓ Audiocasts/Shows/Videos:_Linux_Matters,_Destination_Linux,_and
      "PewDiePie_Just_Switched_to_Linux..._Here's_Why_You_Should_Too"⠀⇛


           multimedia picks


  34. ⚓ Games:_Steam_Deck_OLED,_TerraTech_Legion,_Craftlings,_Gunstoppable,
      More⠀⇛


           GamingOnLinux's latest 9


  35. ⚓ New_LWN_Articles_About_Linux_Kernel⠀⇛


           and event coverage


  36. ⚓ The_importance_of_free_software_to_science⠀⇛


           Although there is an implicit philosophical stance here—that
           reproducibility and openness in science are desirable, for
           instance—it is simply a fact that a working scientist will use
           the best tools for the job, even if those might not strictly
           conform to the laudable goals of the free-software movement


  37. ⚓ Security_Leftovers⠀⇛


           only a few for now


  38. ⚓ Today_in_Techrights⠀⇛


           Some of the latest articles


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


                          Span from 2025-06-06 to 2025-06-12
      1094 /n/2025/06/08/
           Linux_Mint_22_2_Will_Feature_Fingerprint_Authentication_with_Fi.shtml


    * IRC_Proceedings:_Thursday,_June_12,_2025
    * Gemini_Links_13/06/2025:_People_You've_Left_Behind,_Life_Update_and_OS
      Changes


⣷⣾⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿
⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣻⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣯⣿⣿⣿⢿⡟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣷⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣹⣿⣽⣿⣛⡉⣿⣿⣿⣽⠏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣽⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣋⣿⣿⣿⣿⣿⣿⣧⠄⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⢿⡁⢿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣾⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣷⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠞⠁⢿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣇⡀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⣿⣿⣿⣿⠿⣻⣿⣾⢿⣿⣿⣿⣿⣿⡚⠀⢸⣿⣿⣿
⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⡿⠋⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⠄⠐⢸⣿⣿⣿⣿⣿⡿⣿⣿⣿⣽⣿⣿⣿⣿⡿⣯⣿⣿⣿⣿⣿⣷⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⠟⠀⢨⣿⣿⣿
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⣿⣿⣿⣿⣿⡿⠿⠿⠿⠟⠛⠛⠁⢀⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠁⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⣾⣿⣿
⣿⣿⣿⣿⣿⣻⣧⠄⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣻⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⢿⢿⣿⣿⣿⣿⣿⠛⠛⠋⠉⠁⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠀⣰⣟⣹⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣩⣿⣀⡹⠟⠛⠉⢉⣩⣿⣦⢀⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⣰⠾⠛⠩⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⢿⣿⢠⣶⣦⣾⣿⡟⠈⢁⣿⣿⣟⣿⣿⣿⣿⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣿⣿⣿⣿⣿⣿⣄⡀⠉⠉⠀⣀⣴⡷⠄⢀⣰⣻⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠛⠉⠹⠿⠛⠿⠛⠁⢀⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⠿⣿⣧⣾⣿⠁⠀⣠⣼⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣧⣀⣠⣦⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠰⠛⠛⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢻⣶⣤⣤⣶⣤⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 1966

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/06/13/Recent_Blunders_in_Microsoft_GitHub_e_g_Slop_Generated_Bug_Repo.shtml
    Gemini version at gemini://gemini.techrights.org/n/2025/06/13/Recent_Blunders_in_Microsoft_GitHub_e_g_Slop_Generated_Bug_Repo.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Recent Blunders in Microsoft GitHub (e.g.
Slop-Generated Bug Reports or GPL Violations 'as a Service') Taking Their
Toll?⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jun 13, 2025


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


        🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇openai_Traffic:_Used_to_be_around_2,000_M⦈_


Last month many people left Microsoft GitHub and/or told others to do the same
(Microsoft GitHub is a bad faith host which facilitates copyright infringement
and tries_to_sell_copyright_infringement_as_a_product). How much more will it
take for projects and people to recognise Microsoft is not free hosting but
"sharecropping" [1, 2]?


Put bluntly, if you still use Microsoft GitHub, then you're slave to Microsoft.


It's_time_to_put_Microsoft_GitHub_in_the_same_graveyard_as_Skype. █


    * American_Imperialism_and_Microsoft_Plagiarism
    * UK_High_Court_Blasts_Brett_Wilson_LLP_for_Misusing_"GDPR"_After_Failed
      Efforts_to_Censor_Critics_Using_'Libel'_Claims


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⣿⣿⣉⣉⣈⣉⣋⣹⣉⣉⢉⡉⢉⣉⣉⣉⣉⣏⣉⣉⣉⣉⣉⡏⢉⣭⣉⣈⣋⣉⣉⣹⣉⣏⣈⣉⢉⣉⣉⣍⣹⣉⣉⣉⣉⣉⣉⣉⣁⣉⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛
⣿⣿⠀⠀⠴⠀⠲⠔⠠⠔⢴⠐⠖⠲⠤⠢⠔⠦⠐⠄⠰⠂⠔⠂⠆⠂⠔⠆⠐⠠⠲⠄⠢⠠⠦⠔⠠⠲⢠⠤⠠⠠⠴⠄⠆⠂⠤⠂⠔⠆⠦⠄⠢⠔⠀⠂⠐⠔⡄⠠⠢⠄⠐⠰⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡤⣄⣤⣴⣶⣶⠾⣿⣿⣿⢶⣶⣶⣤⣤⣤⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⣀⣀⣀⣠⣤⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣻⣷⣿⣿⣽⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣟⡿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣟⡻⠻⢿⠟⠿⠻⠿⣛⣿⣿⣿⣿⣿⣿⣿⡟⣿⢯⣿⣿⣿⢻⠿⢿⠻⠿⠿⠿⣟⡻⠿⠿⠿⡟⠻⣿⣾⣻⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠿⠿⠿⢿⠻⠿⢿⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡟⠿⠿⠿
⣿⣿⣿⡿⢓⠒⡚⢚⠒⢳⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣖⠓⠚⢒⢖⣾⣷⣿⣶⣷⣶⣷⣾⣿⣿⡇⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⠚⠒⡖⠚⠚⠳⣶⣾⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡗⢲⡒⠒
⣿⣿⣿⣷⣶⣶⣶⣶⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡻⣮⡻⣿⣿⣿⣿⣶⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣷⣶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⢿⣯⣿⣿⡿⢿⣿⣿⣿⣿⣿⠿⣿⣟⣿⣽⣾⣻⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣿⣟⣿⣿⣿⣿⣿⣿⣟⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣟⣍⣍⣹⣉⣉⣋⣍⣏⣏⣋⣹⣉⣏⣉⣍⣍⣭⣋⡯⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢸
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸
⣿⣿⣿⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⡟⠟⠛⠛⠛⠛⡻⠿⠛⠻⣿⣿⡇⢸
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⣶⣶⣶⣶⣶⣷⣾⣶⣶⣿⣿⡇⠈
⣿⣿⣟⠛⠛⠟⠛⢻⣿⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣿⣿⣿⡇⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢠
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸
⣿⣿⣿⣋⣙⣋⣙⣹⣿⣾⣶⣶⣭⣍⣛⡻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣭⣭⣽⣿⣿⣿⣿⣭⣿⣿⣿⠁⢸
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣭⣭⣛⡛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣯⣭⣛⣛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸
⣿⣿⣿⣤⣤⣤⣬⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣮⣭⣙⣛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⢸
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣮⣭⣭⣭⣭⣍⣛⣛⣛⣛⣛⣛⡛⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸
⣿⣿⣿⠿⠿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣾⣭⣭⣭⣭⣩⣿⣿⣿⡇⢸
⣿⣿⣿⣷⣶⣶⣶⣾⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⣿⣿⣿⡇⢸
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⠿⣿⣿⠿⢿⣿⠿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⢿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿
⣿⣿⣧⣄⣤⣤⣤⣤⣬⣤⣤⣤⣼⣧⣤⣤⣦⣤⣼⣬⣾⣴⣦⣐⣤⣐⣤⣤⣤⣤⣶⣼⣤⣴⣤⣴⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣠⣬⣩⣭⣤⣬⣭⣼⣿⡀
⣿⣿⣯⣭⣭⣭⣿⣭⣥⣭⣭⣬⣯⣭⣬⣥⣭⣽⣯⣭⣭⣭⣭⣤⣍⣧⣧⣴⣼⣯⣭⣩⣭⣭⣬⣽⣭⣭⣭⣭⣭⣿⣬⣭⣯⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⡇⠀⠄⠰⠠⠤⠤⠠⠄⠤⠤⣤⠤⠦⠀⠠⠠⠀⠤⠠⠠⠀⠄⠤⠤⠤⠤⠄⡄⠠⠀⠠⢄⡠⠔⠎⠅⠀⠤⠤⠤⠀⠤⢠⠠⠄⠢⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⠤⠤⠤⠠⠤⠄⠦⢤⡤
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣻⡿⣯⣿⣿⣿⣿⣿⣿⣿⣯⡿⣿⣻⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 2052

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/06/13/Slopwatch_and_Yet_More_Holes_in_Secure_Boot_as_Usual_Promoted_I.shtml
    Gemini version at gemini://gemini.techrights.org/n/2025/06/13/Slopwatch_and_Yet_More_Holes_in_Secure_Boot_as_Usual_Promoted_I.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Slopwatch and Yet More Holes in 'Secure
Boot' (as Usual!), Promoted Inside Linux by the Man We Are
Suing⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jun 13, 2025


Today's Slopwatch will be short. Let's start with a very notorious slopfarm
that for some reason Google News keeps promoting and has promoted for about
half a year. This is a fake article with a_slop_image, as usual:


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


Another slopfarm, though this one isn't listed in Google News. The following
are LLM slop.


 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇How_Business_Access_Control_Systems_Are_Evolving_to_Combat
                        Modern_Cyber-Physical_Threats⦈_


  🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇How_AI-Driven_Linux_Security_Tools_Detect_Threats_Before
                                 They_Strike⦈_


  🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Not-So-Secure_Boot:_2_Secure_Boot_Exploits_Discovered⦈_


That last one speaks of UEFI_'Secure_Boot', but it is LLM slop, based on real
articles. This one says: "Vulnerable DTResearch UEFI firmware applications can
be used in BYOVD attacks to bypass Secure Boot."


Of course it was never meant for real security. It was a lie. It_was_meant_to
protect_the_Windows_monopoly.


We're suing the person who was advancing this abomination into Linux [1, 2]. He
will_have_tough_questions_to_answer_later_this_year_in_the_UK_High_Court. He
kept defaming people who turned down UEFI 'Secure Boot'. █


 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇oh_good_lord,_New_York?_Thanks_for_the_evidence_that_I've
                  been_part_of_the_conspiracy_for_20_years⦈_


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Balabhadra_(Alex)_Graveley,_Miguel_de_Icaza⦈_


    * Gemini_Links_13/06/2025:_People_You've_Left_Behind,_Life_Update_and_OS
      Changes
    * The_Price_of_Exposing_Corruption_in_Poland_(and_Elsewhere)


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

                    ䷩ 𝚕𝚒𝚗𝚎 2303

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/06/13/The_More_Time_Passes_the_Better_Our_Advice_on_Social_Control_Me.shtml
    Gemini version at gemini://gemini.techrights.org/n/2025/06/13/The_More_Time_Passes_the_Better_Our_Advice_on_Social_Control_Me.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ The More Time Passes, the Better Our Advice
on Social Control Media Seems⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jun 13, 2025


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Olympic_stadium_hosting_euro_vision_party_in_moscow_2009⦈_


Outsourcing does_not work, even if it temporarily seems cheaper or a worthwhile
tradeoff


Twitter is pretty_much_dead and the latest experimental_business_model_is
blackmail. This won't end well. Hosting videos praising Hitler and spreading
nazi-type propaganda may have impressed a sitting president, but that's no
longer applicable (after a "break-up").


Put aside Twitter; yesterday we saw people complaining about fake friends and
LLM slop in Facebook. They explained why they had distanced themselves from
that site or stopped posting there altogether.


Mastodon?


Well, Mastodon is sort_of_collapsing_on_its_own_or_imploding (sooner or later
people realise it does not tackle the key issues [1, 2]). If everyone hosted
their own Mastodon (or Pleroma etc.) instance, then you're just reinventing the
wheel. It's called RSS.


As for YouTube? This past week there were articles about the crisis of slop in
that platform. It not on increases Google's bills (storage and more), it's
ruining the experience for legitimate users. It's now reported by several
vloggers that Google_began_censoring/hiding_YouTube_videos_that_merely_explain
to_people_how_to_self-host!


At the end of the day, any_platform_you_do_not_control_yourself_is_working_for
someone_else. Over time more people will understand this rather banal point. █


    * Twitter_(X)_is_Dying,_Now_It's_Just_Like_a_Mafia-Type_Operation_of_the
      Man_Who_Does_Nazi_Salutes_in_Public
    * X11_is_Free_Software


⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⡿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⢿⣿⣿⣿⣿⣟⢿⣇⢘⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢹⠻⢉⠉⠀⠱⠈⠻⠣⠉⠐⠃⠉⠙⣫⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠈⠈⠀⠀⠀⠀⠀⠠⠃⠀⠀⠀⠀⠃⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠘⢻⣿⣿⣿⣿⣿⣿⣿⡟⠛⣶⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣾⣿⣿⣿⣿⣿⣛⠿⢠⣯⣿⣝⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠿⣿⣿⣿⣿⣿⣿⡇⣌⣸⠟⠉⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠉⠉⠉⠉⡉⠉⠉⠉⠉⠉⠉⠛⠛⠛⠛⠛⠛⠻⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠲⣶⣦⣿⣦⣤⣴⣶⣶⣲⣤⠇⠀⠀⠄⣠⣤⣤⣧⣤⣤⣤⣤⣠⣇⣀⣀⣀⠀⣶⣀⠀⠀⣤⠀⠀⡀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣟⣻⡏⣭⣯⣿⣿⠇⠐⣶⣷⣽⣿⣿⣿⣿⣿⣿⣿⣿⡟⠻⣿⣿⠿⢻⣿⠟⣾⣿⣶⣴⣧⣼⣶⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣷⡏⠛⠙⠛⠻⣿⣿⡿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡌⢿⣿⣿⣿⣿⠴⠿⣿⣿⣷⡆⠀⢼⣿⣿⣿⣿⣿⣿⡏⣿⣿⣿⣇⠀⠹⡇⢸⢟⣿⡾⣿⣿⣇⣷⣿⣿⣿⣿⣿⣿⣿⢯⠉⠈⠻⠙⢻⣿⣿⣿⣿⠎⠀⠀⠀⠀⠈⠋⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠪⠏⢙⠥⠂⠼⠻⠛⡿⠿⣿⣦⡈⣿⣿⣿⣿⣿⣿⣷⣿⡟⣿⣿⣧⣿⣇⣾⣿⣿⡷⠿⣿⣟⣾⣿⣿⣿⣿⣿⡁⠀⠈⠀⠀⠀⠀⠈⠉⢛⠋⠉⠀⠀⠀⠀⠀⠀⠀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠚⠈⠀⠈⠁⣤⣽⣿⢿⣿⡿⣿⡿⣿⡿⡿⣿⠿⠟⠋⠿⢻⣿⡅⠀⠸⠟⠛⠛⠻⠿⠛⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠾⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠠⠁⠄⠹⠏⠀⠁⠉⠃⠉⠃⠉⠉⠀⠀⠀⠀⠀⠼⣄⠐⠀⠀⠀⠀⠀⠀⠐⠛⠀⢠⣀⠠⠀⠀⠀⠲⣴⡎⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⡉⠀⠀⠀⠀⠁⠁⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠀⠀⠀⠀⠀⠀⠀⣠⢴⠤⣴⡄⢠⣀⣜⣣⣤⣤⣤⢀⣀⣀⣀⠀⣀⣀⢀⠀⣀⡀⠀⢀⡀⠀⠀⠀⢀⣀⣀⣀⣁⣠⣄⣀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⣀⣀⠀⠤⠤⠄⠔⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⢀⠀⠀⢀⡀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠉⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 2387

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/06/13/The_Price_of_Exposing_Corruption_in_Poland_and_Elsewhere.shtml
    Gemini version at gemini://gemini.techrights.org/n/2025/06/13/The_Price_of_Exposing_Corruption_in_Poland_and_Elsewhere.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ The Price of Exposing Corruption in Poland
(and Elsewhere)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jun 13, 2025,
updated Jun 13, 2025


It's easier to participate in corruption than to merely do the right thing and
oppose it


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


About 10 days ago we started a series about Poland's patent office and
yesterday we wrote about ridiculous_salaries while comparing these to what was
happening at the EPO under Benoît_Battistelli and António_Campinos. What
they're doing, in effect and without proper scrutiny, is illegal. As we put it
yesterday afternoon [1, 2], they "detached the EPO from the Rule of Law in the
name of "making money"."


"They did so via illegal rubberstamping of invalid, illegal software patents,"
a reader then told us.


Yes, they break the law to bring in more money while at the same time paying
the staff even less. Worse yet, after we first saw a site about the corruption
in Poland we learned that someone from there had been subjected to bullying
from a friend of António Campinos, who now relishes in immunity at the corrupt
EUIPO. "Currently," one reader told us, "Edyta Demby-Siwek has initiated 5
disciplinary proceedings against me for speaking out about what happened at the
Patent Office."


So basically the corrupt officials try to subject those who speak about the
corruption to more harassment.


I can relate to this. For merely talking about Microsoft staff strangling women
it is me who now faces abusive litigation. Not because it didn't happen. It did
happen. It's_well_documented, but I shall cover this separately.


Apparently talking about facts or speaking the truth out takes more courage
than participating in lies. █


    * Slopwatch_and_Yet_More_Holes_in_'Secure_Boot'_(as_Usual!),_Promoted
      Inside_Linux_by_the_Man_We_Are_Suing
    * When_They_Have_Nothing_Left_to_Help_Advance_Abusive_Litigation_for
      Microsoft_People..._Other_Than_Throwing_~500_Pages_of_Someone_Else's_Work
      Into_a_PDF


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⣿⣽⣯⠀⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠈⠊⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⢠⣲⣧⢯⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢸⣛⡇⠀⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣯⠽⠧⠭⣿⣿⣿⢷⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡌⣿⠇⠀⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠟⢿⡆⠠⡛⢿⢿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣧⢙⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⠀⠀⠀⣼⣿⣿⣇⢴⣴⣶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣋⣙⣷⣾⣬⢻⣼⣿⢷⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣋⡀⠃⠀⠈⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⠉⠀⠀⣀⣹⣿⣻⠉⠈⠙⢛⡿⠾⠧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣶⣣⡴⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣷⣶⡀⠀⡋⠟⣿⣿⣿⣿⣿⣯⣿⣿⠁⢀⣼⣿⡿⢋⡉⡶⠀⠀⠉⣙⡛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡏⣆⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣦⡐⠆⣿⣿⣿⣿⣿⡏⠉⠉⣴⣿⣿⣿⣿⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣲⣴⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢙⣿⡿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 2482

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/06/13/Twitter_X_is_Dying_Now_It_s_Just_Like_a_Mafia_Type_Operation_of.shtml
    Gemini version at gemini://gemini.techrights.org/n/2025/06/13/Twitter_X_is_Dying_Now_It_s_Just_Like_a_Mafia_Type_Operation_of.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Twitter (X) is Dying, Now It's Just Like a
Mafia-Type Operation of the Man Who Does Nazi Salutes in
Public⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jun 13, 2025,
updated Jun 13, 2025


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇A_bulbul_a_small_songbird,_seen_in_a_New_Taipei_park,
Taiwan⦈_


He basically tries_to_make_money_out_of_threats:


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Elon_Musk’s_New_Business_Model_For_ExTwitter:_Give_Us_Money
                                  Or_We_Sue⦈_


The above is a form of extortion. Other sites wrote about this as well.


In February 2024 a Microsofter said we'd need to pay him or he'd sue us. We
sued him later that year [1, 2] for what_he_had_done_to_us - like he did
others.


He used to be so proud of his Twitter account, where he was commandeering or
siccing mobs at innocent people. Now Twitter is becoming just like him. █


    * UK_High_Court_Blasts_Brett_Wilson_LLP_for_Misusing_"GDPR"_After_Failed
      Efforts_to_Censor_Critics_Using_'Libel'_Claims
    * The_More_Time_Passes,_the_Better_Our_Advice_on_Social_Control_Media_Seems


⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⡀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣴⣿⣿⣿⣿⣿⠋⠀⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣦⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣤⣀⣹
⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⣾⣿⣿⣿⣿⣿⣿⠉⢿⣿⣿⣿⣿⡟⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠃⠀⠈⢠⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⠟⢁⣀⣤⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠙⠻⣿
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⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⡇⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠘
⠸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⠀⣀⣀⣤⣶⣾⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⢀⣴⣿⣿⣿⣿⣿⠃⠀⠀⢿⣿⣿⡏⠀⠙⠻⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀
⠀⢻⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣹⣿⣇⠀⠀⠀⠘⣿⣿⣿⣿⣧⣀⠀⠀⠀⠀
⠀⠈⢻⣿⣿⣿⣿⡏⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⠛⣛⣿⠟⠉⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⢠⣴⣿⣿⣿⣧⠀⠀⠀⠘⠻⣿⣿⣿⣿⣷⡄⠀⠀
⠀⠀⠀⠘⣿⣿⠁⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠋⠉⣿⣤⣀⡀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣼⣶⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⢹⣿⣿⣿⣿⡗⠀⠀
⠀⠀⠀⠀⢹⡏⠀⠀⠀⠀⠀⠀⠙⢻⣿⣿⣿⣿⣿⡟⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⣶⣼⣿⣿⣿⣿⣶⣂⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠛⣃⡀⠀⠀⠀⢸⣿⣿⣿⣿⡇⠀⠀
⣄⠀⠀⢀⣾⣿⣤⣶⣦⣤⠀⠀⠀⠀⢻⣿⣿⣿⣿⠃⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣸⣿⣿⡆⠀⠀⢸⣿⣿⣿⣿⡇⠀⠀
⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⢸⣿⣿⣿⣷⣤⣤⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⢿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⠀⠀⠀⠀⢿⣿⣿⡟⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠙⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⠋⠁⠀⠀⠀⠀⠀⠀⠘⣿⣿⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠛⣿⣿⣿⣆⠆⠀⠀⠀⠙⢿⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣤⠀⠀⠀⢠⣶⣆⠀⠀⠀⠉⠙⡄⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⣿⣿⣿⣿⣷⡀⡀⡀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠹⠏⠀⠀⠀⠀⠈⠁⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⣿⣿⣿⣿⣿⣿⣟⢷⡄⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡹⣆⠀⠀⠈⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀
⣿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣫⣾⣯⡂⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀
⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣉⣽⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠋⠈⠉⠛⠛⠓⠀⠠⡰⡈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀
⣿⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⡄⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀
⣿⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣅⣤⣤⣄⣀⣀⣠⣠⣤⠄⠀⠀⠘⡽⠀⢹⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⡀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣷⣤⣴⣶
⣏⡀⠀⠀⠀⠀⠀⠘⠇⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣩⠉⠉⠉⠉⠩⣀⡀⠀⠰⣆⡀⠀⠀⠀⠀⠀⠀⢳⠇⠎⢿⢿⣧⠀⠀⠠⢠⡀⠀⠀⠀⠀⠀⡧⠁⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠯⠀⠀⠀⠀⢲⡼⠇⠀⢤⣬⡀⢼⣇⡀⠀⠀⠀⢸⡄⠀⠀⠈⠃⠁⠀⠀⣿⢠⠀⠀⠀⠀⠀⣿⣦⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠛⠻⠿⣿
⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢸⢹⢦⢠⣿⣿⡿⠀⡇⡄⠀⠀⠀⡀⠃⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⢢⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢰⠀⢀⡲⢰⡹⡪⣿⡼⢻⡧⠃⠀⠀⠁⠀⠀⠰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠈⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣶
⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠈⠉⠀⡁⠑⠋⣠⠈⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿⡿⠿⢿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⡀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢠⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠒⢺⢰⡆⣶⠒⣦⢸⠒⢒⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠰⠄⠀⠠⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠒⠚⠘⠃⠛⠀⠀⠘⠒⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⢀⠀⣄⣤⣤⠀⠀⠀⠀⠀⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡄⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤
⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿
⣿⣿⣺⣇⣾⣈⣇⣹⣜⣇⣼⣪⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡽⣯⣿⣿⣿⣯⣿⣿⡿⣿⡿⣿⣿⣯⣿⣿⡿⣿⣿⣿⣿⣿⡽⣿⢿⣿⣿⡏⣿⣿⢿⣿⣿⣿⡿⣿⣿⣿⣿⣻⣿⡟⣿⡟⣿⣿⣻⣿⣿⣿⣿⣿⣟⡏⣿⣿⡿⣿⣿⡿⣿⣿⣿⢏⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣹⣿⣿⣽⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣉⣉⣵⣮⡟⣳⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣾⣾⣿⣿⣿⣶⣿⣿⣿⣿⣷⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣾⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠏⠻⣿⣿⣿⣾⣿⣿⣷⣷⣾⣿⣿⣷⣾⣿⣿⣿⣷⣿⣿⣿⣾⣿⣷⣾⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣷⣤⣿⣿⣿⣾⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣯⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣧⣿⣿⣾⣿⣿⣽⣧⣽⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣾⣿⣿⣽⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 2576

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/06/13/UK_High_Court_Blasts_Brett_Wilson_LLP_for_Misusing_GDPR_After_F.shtml
    Gemini version at gemini://gemini.techrights.org/n/2025/06/13/UK_High_Court_Blasts_Brett_Wilson_LLP_for_Misusing_GDPR_After_F.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ UK High Court Blasts Brett Wilson LLP for
Misusing "GDPR" After Failed Efforts to Censor Critics Using 'Libel'
Claims⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jun 13, 2025


Their few remaining cases are not going well. No wonder this_firm_is_rapidly
shrinking. From the_news_this_week:


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Daily_Mail_Defeats_Green_Industrialist's_Abusive_GDPR_Claim⦈


It's abusive. We_reported_them_for_abuse_in_April. They used the exact same
tactics against us not only once [1, 2] but twice in the same year! They_went
even_further_than_this.


From_the_decision_uploaded_this_week to judiciary.uk:


 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Aidan_Eardley_KC,_Greg_Callus_(instructed_by_Brett_Wilson
   LLP)_for_the_Claimant_Antony_White_KC_(instructed_by_RPC_(Reynolds_Porter
                     Chamberlain_LLP)_for_the_Defendant⦈_


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇is_an_application_to_strike_out_Mr_Vince’s_claim_as_an_abuse
                                 of_process⦈_


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


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


  🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Where_A_has_brought_an_action_against_B,_a_later_action
    against_B_or_C_may_be_struck_out_where_the_second_action_is_an_abuse_of
                                  process.⦈_


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇In_the_premises,_had_I_not_already_decided_to_strike_out_Mr
                                Vince’s_claim⦈_


    * Recent_Blunders_in_Microsoft_GitHub_(e.g._Slop-Generated_Bug_Reports_or
      GPL_Violations_'as_a_Service')_Taking_Their_Toll?
    * Twitter_(X)_is_Dying,_Now_It's_Just_Like_a_Mafia-Type_Operation_of_the
      Man_Who_Does_Nazi_Salutes_in_Public


⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠠⡐⢠⣾⣶⣷⠀⠀⡆⠀⠠⡄⢂⠠⡄⡀⢐⡂⣠⡂⡰⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠙⠸⣿⣿⠏⠀⠀⠃⠀⠁⠙⠈⠂⠐⠀⠀⠂⠁⠘⠐⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⢛⡛⠛⠛⠛⠟⠻⡟⠛⠛⠛⢛⢿⣿⠟⠛⠛⣛⢛⢻⡟⠿⡛⠛⠛⠛⢛⣻⡟⠛⠻⠛⣛⣛⠛⠛⣿⠛⠛⠛⠛⠻⠛⠟⣿⡟⢻⠛⢻⠛⠛⠻⠟⣿⠛⠟⠻⡟⠟⠻⣛⡛⣿⣿⠛⢟⠛⢻⠛⡿⢿⢟⠟⢻⣿⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣻⣟⣿⣛⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣷⣶⣾⣶⣿⣷⣷⣶⣶⣶⣶⣷⣶⣾⣷⣶⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⢛⡛⢿⠿⡟⡟⠿⡿⢿⠛⢿⡟⢻⠿⡟⡟⣿⡟⣛⠻⡿⢿⠟⢻⢿⡿⢿⠟⢿⠿⣿⠟⣛⢻⠿⡿⢿⡿⢿⡿⢿⣿⡟⡿⠿⣿⠟⡿⣿⢿⠿⠟⠿⠿⢻⠿⣿⠛⣻⠿⠟⠟⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠸⠟⡐⠄⠀⡇⣇⢡⣿⠀⣌⣴⠀⠄⠁⡇⣿⡇⠿⣁⡀⢄⡆⡇⠅⡃⠄⡇⠇⠅⣿⣄⠯⢹⢰⡀⠅⡀⠅⡇⡆⣿⡇⡇⡆⡇⠆⣇⠟⠀⠄⡇⠇⣶⢸⠠⢸⠀⡇⠅⡇⢿⡧⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⢻⡟⢿⡿⣿⢷⢾⡛⢿⡿⡿⢿⣿⠟⣛⢻⢛⡛⠟⢛⠻⢛⡛⣿⡟⣛⢻⢻⠿⡟⡿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡿⢠⡄⠇⠆⡀⠟⠠⠄⡇⡌⢡⡠⠤⣿⡘⠯⢹⠸⠟⡀⢨⣴⢨⡐⢿⣄⠿⢛⠐⠄⠀⡇⡆⡆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⢿⣿⡿⣿⢿⠿⣿⡿⢿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⠿⣿⠿⠿⠿⡿⣿⡿⣿⢿⠿⡿⠿⣿⣿⠿⠿⠿⢿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⢿⡿⣿⣿⠿⣿⡿⣿⢿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣮⣱⣷⣷⣤⣤⣴⣧⣤⣤⣤⣦⣤⣧⣯⣾⣴⣤⣼⣴⣽⣵⣭⣥⣧⣿⣧⣿⣮⣦⣧⣦⣴⣿⣦⣤⣿⣻⣿⣿⣿⣴⣴⣇⣤⣿⣾⣷⣤⣤⣤⣿⣾⣿⣤⣤⣼⣼⣤⣼⣿⣦⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡟⣛⢛⠻⠻⠛⠟⠛⠛⢻⢹⠟⠻⡟⠙⠋⠛⠟⢹⢛⢿⡿⡟⠛⡟⡛⣛⢻⠛⡛⠛⡛⢛⢻⢙⠛⠟⠛⠛⣫⠻⡿⠹⠛⠛⡟⠛⠻⡿⠛⢻⠏⠛⠛⡟⠏⢿⣿⣻⡿⣯⠛⠛⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡿⣾⣿⣾⣿⣿⣿⣿⣿⢿⢿⣿⣿⣿⣿⣿⢿⣿⣿⣾⡿⣿⣿⣿⣿⠿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣷⣥⣥⣥⣧⣧⣮⣷⣴⣽⣮⣾⣿⣷⣤⣥⣷⣽⣼⣼⣬⣧⣼⣽⣤⣧⣶⣥⣼⣿⣤⣤⣤⣤⣬⣤⣼⣬⣤⣧⣯⣤⣧⣽⣯⣮⣮⣶⣤⣼⣼⣦⣤⣿⣯⣥⣧⣤⣤⣧⣤⣤⣧⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡿⠋⠙⠛⠉⠋⢙⠟⣽⣯⣝⢽⣽⠉⠛⣻⢹⡍⡋⢹⣿⢉⠟⣝⠍⣽⢫⢋⣿⠋⣽⡻⣯⡏⡙⡫⢻⢙⢹⠉⡿⣿⡏⠉⡋⢹⡻⠉⣿⣭⣿⢝⢫⢹⣽⠉⣝⢹⡛⠛⡟⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡿⠿⡿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣶⣾⣾⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣻⡿⢿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡻⣿⣿⢟⢿⣿⣿⣿⣿⣟⡟⣿⣿⣿⢿⠛⢿⣿⣿⢻⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡻⠿⣿⣿⣿⣿⣿⣿⣿⢻⣿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⢻⣿⡟⡟⣿⢻⡟⣿⠛⣿⢻⣿⣿⢻⡟⣿⢿⣿⡟⡿⢻⣿⡟⣟⢿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⠻⣟⡻⣿⢿⡿⣿⣿⢿⡻⣿⡟⣿⡟⢻⡿⡟⡿⣿⢻⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣷⣷⣿⣷⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⢿⢿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⣾⣷⣷⣿⣿⣶⠾⡿⣿⣿⣿⣷⡷⡿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣷⣿⣿⣿⣿⣿⣽⣿⣷⣿⣿⣿⣿⣷⣷⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣾⣿⣿⣷⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣷⣤⣤⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣬⣿⣤⣿⣿⣼⣼⣿⣼⣷⣵⣯⣧⣼⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣋⣯⣟⣭⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣽⣿⣹⣿⣻⣹⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⠏⠿⠿⠿⠩⠉⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣟⣛⣋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣻⣻⠿⡯⡏⣿⢿⣿⣿⠙⣯⣻⢩⣭⣿⣻⣹⡿⣍⣟⡏⢹⣻⢹⣿⣽⠉⡏⡏⡭⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢝⡋⢻⣿⣿⠿⢛⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡟⠟⠿⠿⡟⡿⠿⣟⡿⠿⣿⢿⢿⣿⣿⡿⣿⠿⡿⣿⠟⠻⠿⡿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⠿⢿⣻⢿⣿⣿⣿⣿⣿⢻⣻⣿⣿⡿⡿⠻⣿⢿⡛⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⠶⢷⠶⠶⣷⠟⣿⠿⢷⢿⢻⣿⣶⡷⢿⡿⠿⢶⣶⣾⢿⣿⣿⢻⡿⣿⣶⢿⣿⣿⡿⠿⠿⣷⣾⠻⠿⢿⣿⢿⣿⡟⠾⡾⢿⣿⡷⢿⣶⣾⣿⣷⢾⠻⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣶⣮⣿⣿⣿⣶⣾⣿⣶⣿⣿⣷⣷⣷⣿⣶⣿⣷⣾⣿⣿⣾⣷⡷⢿⡾⣿⣮⣶⠶⠶⣷⣿⣾⣶⣾⣿⣾⣿⣷⣶⣶⣾⣿⣷⣷⣾⣿⣿⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣶⣷⣾⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⢿⢿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⢩⡏⣽⣩⣹⣯⣿⣿⣹⣿⣃⣏⣿⣹⡏⢹⣉⣏⣹⣏⣹⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⡿⣿⣿⡿⢻⣿⣿⡿⢿⡿⢿⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣻⣿⣿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣿⣿⡿⣿⣿⣿⡿⣿⢿⣿⢿⣿⣿⣿⣿⢿⣿⣿⡿⡿⡿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⣿⣿⣿⣿⢿⠿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⡿⣿⣻⣿⣿⣿⣿⠟⣿⢿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢿⠉⠁⠀⠀⠀
⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣥⣤⣤⣭⣯
⣼⣿⣵⣷⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣭⣶⣭⣥⣬⣾⣮⣵⣥⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣦
⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⡶⣶⣷⢾⣾⡷⣷⣾⣮⣾⢿⠿⣾⢾⣷⣦⣦⣶⢶⡿⣿⣿⣾⢿⠶⡷⣷⣷⡾⠾⡶⣷⣶⣾⣿⢿⣿⢿⣷⣾⣿⣿⡿⣿⡾⣿⢿⣿⣷⣷⣶⣶⢾⣾⡿⣷⣦⣦⣶⣶⢷⣷⢾⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢷⣾⣷⣷⣾⣿⣶⣿⣾⡿⡶⣾⣿⣿⣿⣷⢶⣷⣶⣿⢿⡿⣿⢷⣿⣾⣷⣾⣷⠿⣿⣾⣾⣿⣶⣿⣶⡿⣿⣷⣷⣿⣷⣼⣿⣷⣶⣶⡾⣾⣾⣿⣾⣿⢷⢾⣿⣾⣿⣶⣷⡷⣷⣿⢿⣷⣷⣾⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣧⣿⢷⣼⣾⣼⣿⢷⣷⣶⣷⣦⣾⣾⣿⣦⣷⣼⣷⣿⣶⣷⣶⢿⣿⣿⣶⣧⣼⣿⢿⣿⣦⣦⣦⣴⡿⣿⣿⣾⣿⣿⣾⣾⣿⣶⣿⣿⣿⣿⣿⣷⣦⣿⣾⣶⣶⡿⣿⣾⡾⣾⣦⣶⣾⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠽⢽⣽⣿⣥⣴⣤⣾⣼⣴⣼⣤⣴⣷⣥⠾⣼⣽⣽⣿⣥⣿⣧⣾⣯⣦⣴⣿⣭⣿⡧⡤⣤⣤⣮⣭⣥⣵⣤⣯⣴⣼⣼⣽⣿⣿⣿⣥⣯⣿⣿⣯⣯⣼⣷⣤⣤⣧⣦⣼⣥⣤⣿⣭⣥⣤⣤⣽⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠐⠀⢀⣤⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣯⣥⣤⣤⠤⣤
⣧⣿⣥⣮⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣤⣥⣤⣴⣤⣤⣬⣤⣤⣦⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣿
⣿⣿⣿⣿⣿⣿⣿⡿⡶⢶⢾⠦⡶⣮⢶⢿⢾⡿⡶⡷⣷⢶⢶⠶⠿⡿⢶⡶⢿⠿⡶⢾⣿⢷⣶⠶⡶⣶⠿⢿⡶⠶⢶⠷⢿⣷⣿⠿⠿⠾⢷⣷⢶⠾⣷⢶⠾⡿⠿⡶⣾⢶⠶⢶⠿⣶⡶⢶⣶⢷⣾⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡿⡾⠷⡷⣷⣿⣿⣿⣾⣮⣧⣶⣶⣾⣷⢷⣶⣶⣤⡾⣿⣿⣶⢿⣶⣾⣷⣿⣶⣿⣿⣷⣾⣾⣶⡾⣶⣵⣷⣾⣴⣶⣶⣽⣷⢷⣷⣿⣷⣶⣶⣾⣾⣿⣷⣿⣶⡶⢷⣶⣾⣿⣷⣿⣿⣿⣼⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣧⢮⣥⣦⣿⣿⣿⢿⣼⣯⣦⣽⣤⣬⣤⢤⣶⣤⢷⢥⣬⡤⣤⣿⣬⣿⣷⣬⣤⣮⣮⣤⣤⣴⡽⣧⣾⣽⡶⡼⡵⠤⠵⢤⠼⣿⣷⢬⡵⣤⣭⣤⣯⣵⣤⣧⣼⣧⣤⣬⡽⣽⣿⣤⣿⣬⠿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣜⣣⣤⣿⣠⣴⢤⣤⣬⣬⣿⣤⣤⢿⣤⣼⣾⣷⣾⣷⣧⣤⣿⢤⢼⣧⣬⣭⣤⢿⣤⣤⣾⣯⣭⣮⣬⣤⢦⣵⣤⣿⣤⣤⡤⣤⡽⣧⣬⣿⣼⣧⣬⣦⣤⣤⣤⣿⣬⡤⣿⣤⣼⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣲⣴⣮⣮⣦⣷⣿⣾⣸⣼⣤⣬⣦⣤⣴⣵⣧⣤⣴⣧⣿⣾⣷⣾⣵⣤⣤⣤⣼⣼⣾⣾⣧⣤⣬⣭⣷⣼⣾⣶⣭⣾⣤⣬⣶⣾⣤⣤⣦⣤⣤⣮⣾⣿⣾⣾⣮⣾⣤⣴⣓⣶⣮⣤⣷⣵⣼⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣽⣿⣏⣭⣽⣽⣭⣯⣾⣽⣉⣽⣻⣭⣥⣬⣭⣿⣿⣯⣭⣭⣿⣿⣯⣿⣯⣿⣯⣭⣼⣽⣿⣧⣿⣽⣯⣽⣭⣽⣿⣿⣯⣭⣭⣽⣯⣿⣿⣯⣭⣼⣿⣿⣯⣯⣽⣯⣿⣿⣭⣿⣬⣿⣿⣾⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣋⢉⢉⣈⣉⣻⣿⣫⣿⣿⣛⣿⣏⣟⣟⣙⣹⣿⣻⣻⣿⣟⣉⣹⣿⣻⣙⣊⣉⣉⣙⣉⣉⣹⣏⣟⣻⣿⣿⣿⣇⣸⣻⣿⣿⣻⣏⡉⣉⣁⣉⣏⣿⣝⣉⣿⣿⣫⣹⣏⣟⣿⣿⣿⣋⣹⣻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢿⣛⡘⢩⣍⣉⣉⣙⣿⣝⣙⣉⣉⣙⣭⣏⣁⣿⣝⣋⣭⣭⢉⣉⢉⣹⣭⣿⣹⣭⣭⣋⣉⣁⣽⣏⣉⣹⣍⣿⣨⣿⣉⣉⣏⣍⣉⣝⣍⣉⣉⣁⣹⡏⣉⣉⣉⣽⣉⣉⣿⣯⣏⣹⣧⣃⣩⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣏⣽⣋⣻⣽⣟⣻⣿⣿⣉⣉⣯⣫⣻⣽⣯⣯⣿⣽⣏⣯⣿⣹⣯⣽⣽⣝⣉⣏⣋⣹⣯⣫⣹⣉⣻⣫⣿⣯⣋⣙⣻⣛⣏⣟⣯⣫⣙⣝⣽⣋⣻⣉⣿⣯⣯⣹⣯⡉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡟⠿⢿⢿⡿⠿⡿⣿⢿⢿⠿⠿⡿⡿⢿⡿⡿⣻⠟⠿⣿⢿⠿⢿⢿⠿⡿⠿⣿⣿⡿⢻⠟⠿⢿⡿⠿⢿⢿⡿⢿⠻⡿⡟⣿⢿⢿⠿⡿⣿⢿⠿⠻⢿⡿⡟⠿⡿⡿⠿⡿⣿⠿⠿⠛⢿⢿⡿⠿⠿⣿⣿⣿⣿⣿
⣿⣿⣯⣧⣵⣥⢬⣿⣭⣦⣿⣵⢥⣤⡯⡦⣮⣿⣯⣦⢿⣥⣤⣾⢮⣦⣮⡮⡦⣵⡼⣵⣽⣮⣤⣤⣬⣽⣧⣾⣬⣼⣯⢤⣤⣦⣮⣿⣬⣬⣬⣭⣿⢵⢤⢴⣾⣧⣭⣤⣮⣿⣭⣤⣿⣼⡭⣤⣥⣼⣮⣮⣿⣿⣿⣿⣿⣿
⣿⣿⣧⣶⣴⣵⣧⣤⣶⣷⣴⣼⣤⣬⣦⣧⣤⣶⣴⣿⣤⣬⣴⣶⣼⣤⣦⣤⣇⣤⣤⣀⣴⣮⣦⣤⣷⣦⣦⣴⣴⣽⣦⣾⣿⣬⣦⣬⣮⣶⣥⣬⣮⣾⣷⣭⣶⣤⣤⣢⣔⣮⣦⣦⣿⣤⣤⣤⣤⣶⣧⣿⣶⣿⣿⣿⣿⣿
⣿⣿⣿⣹⣩⣈⣉⣉⣯⣬⣉⣉⣹⣁⣍⣹⣁⣗⣭⣭⣋⣷⣌⣺⣘⣸⣞⣉⣍⣉⣽⣁⣉⣉⣏⣉⣙⣇⣷⣔⣕⣰⣖⣦⣄⣸⣉⣎⣁⣉⣽⣈⣉⣁⣇⣉⣉⣩⣿⣝⣱⣯⣻⣭⣿⣉⣉⣫⣩⣫⣹⣍⣽⣿⣿⣿⣿⣿
⣿⣿⡟⠛⢻⠿⠛⣻⡿⠛⡛⠻⢿⠛⢿⠉⠛⢻⠛⢻⠛⡻⢿⠏⠛⢻⠋⠛⠙⠛⠛⠛⠉⠛⠛⡟⠋⠛⠙⠛⣿⡟⢻⠟⠻⢿⣿⢙⠙⢻⠻⠿⠍⡹⠟⠛⠛⢹⡟⠛⠛⠽⠛⠛⠋⠙⠛⢻⡿⢿⡏⠙⠛⣿⣿⣿⣿⣿
⣿⣿⣿⢿⢿⣿⠷⠿⠿⡗⠿⠿⡟⠿⠿⠿⢿⠿⠿⢿⠿⢿⡿⠿⡿⠿⡿⠿⠿⠿⠿⠿⠿⢿⠻⢿⢻⠿⡿⡿⠿⠿⠟⠿⠿⣿⠿⠿⢿⠻⢿⢿⣿⠟⠿⢿⠿⡿⣿⣿⣞⠿⠟⡟⠿⠿⠻⠿⣿⡿⠿⠿⡿⣿⣿⣿⣿⣿
⣿⣿⡷⣷⣶⣶⣲⣶⢵⣷⢶⣶⣷⣶⣶⢶⣾⢴⡶⢞⢶⡶⡶⠲⣷⣶⡷⢳⣶⣴⣶⡶⣶⣞⡶⣾⡲⣲⢶⣷⡦⢧⣶⣶⣶⠲⡲⢶⢾⠶⣾⢺⣶⡶⢶⣾⡶⢶⣶⢷⢶⢶⣶⣷⣶⣶⣶⢶⡾⡖⡶⢰⣿⣿⣿⣿⣿⣿
⣿⣿⣧⣤⣴⣭⡥⣄⣼⣼⣤⣭⣤⣤⣿⣵⣥⡼⣥⣽⣥⡬⣧⣤⣤⢧⣤⣤⣤⣬⣯⣥⡧⣬⣠⣤⣬⣽⣥⣤⣤⣝⣼⣮⢭⣥⣤⣼⠤⠥⠿⠥⠬⣬⣽⣥⣤⣲⣯⣵⣥⣧⣤⣬⣽⣤⣴⣼⣮⣯⣧⣤⣤⣿⣿⣿⣿⣿
⣿⣿⣗⣕⣜⣗⣰⣇⣇⣀⣔⣕⣅⣨⣸⣀⣀⣀⣻⣒⣺⣖⣾⣸⣅⣔⣠⣸⣊⣪⣸⣕⣲⣇⣦⣓⣇⣘⣾⣠⣾⣺⣊⣻⣀⣯⣐⣺⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡿⡿⣿⢟⣿⣻⣿⠿⣿⢿⣿⢿⣿⣿⡿⣿⣿⡿⢿⡿⣿⡿⢿⣿⢿⣿⠿⣿⡿⢿⣿⡿⣿⡿⣿⣿⢿⣿⣿⢿⣿⣿⢿⡟⣿⣿⣿⢿⣿⡿⢿⣿⢿⣿⢿⣿⡿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣷⣷⣿⣿⣾⣿⣿⣷⣿⣿⣿⣿⣿⣿⣷⣷⣿⣷⣾⣿⣿⣿⣿⣿⣾⣿⣶⣿⣷⣶⣿⣷⣿⣶⣿⣿⣾⣿⣿⣾⣿⣷⣾⣷⣷⣿⣿⣾⣿⣷⣾⣿⣿⣿⣶⣿⣷⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡩⣿⣿⣹⣿⣿⣻⣇⣝⣿⣏⣹⣯⣿⣿⣹⣿⣏⣟⣿⣸⣿⣽⣽⣿⣿⣿⣻⣘⣿⣹⣿⣉⣿⣽⣻⣏⣹⣿⣹⣿⣹⣿⣯⣿⣿⣿⣿⣻⣿⣏⣿⣿⣉⣿⣏⣽⣏⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡯⣿⣿⣿⡿⣿⣿⣿⣿⡿⡿⢿⣿⢟⣽⢿⣿⢿⣿⡿⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣷⣿⣿⣿⣷⣿⣿⣶⣿⣾⣷⣾⣿⣷⣿⣼⣿⣾⣷⣷⣶⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡟⣿⣿⣿⡽⣿⢹⣿⣿⣛⣻⣿⣿⣿⣻⡿⢻⣿⠛⣿⣿⢟⣿⢿⠟⣿⢹⢻⣿⡿⣿⡟⣻⣿⢟⣿⣿⣻⡟⢿⣟⣿⣿⢹⡏⣿⣿⣟⣿⡟⣿⢿⣿⢿⣻⣿⠿⣻⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣧⣽⣿⣼⣿⣾⣴⣿⣿⣼⣿⣤⣿⣿⣿⣧⣿⣿⣿⣤⣿⣮⣿⣿⣿⣿⣧⣿⣿⣼⣿⣧⣼⣿⣤⣿⣷⣼⣿⣤⣿⣧⣼⣿⣼⣿⣿⣮⣿⣧⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣟⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣧⣿⣼⣿⣧⣿⣿⣽⣿⣷⣬⣿⣾⣯⣧⣿⣯⣿⣿⣯⣷⣿⣥⣿⣦⣿⣾⣧⣿⣧⣪⣿⣥⣿⣦⣽⣿⣽⣧⣿⣽⣿⣦⣯⣷⣽⣽⣾⣾⣿⣷⣿⣽⣿⣼⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣏⢾⣿⢟⢩⡿⣹⣹⡿⠨⡯⣿⣯⣯⣏⡯⣿⢩⡿⠟⣽⣿⣨⡯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣏⣟⣷⣿⣿⣹⣿⣿⣿⣟⣽⣿⣻⣿⣩⣿⣿⣟⣿⣿⣿⣻⣿⣇⣿⣿⣏⣹⣿⣿⣯⣻⣿⣿⣏⣿⣿⣿⣿⣿⣿⣏⣿⣿⣹⣿⣍⣿⣿⣿⣽⣿⣘⣿⣿⣍⣻⣟⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡟⣿⣿⡿⢿⣿⢿⣿⢿⡿⣿⡟⣿⡿⣿⡿⣿⣿⣿⡿⢿⣿⣿⡿⣿⣿⣿⣿⢿⠿⣿⠿⣿⡿⢿⣿⢿⣿⢿⢻⣿⢿⣿⠻⣿⣿⣿⡿⣿⣿⢿⣿⠿⣿⣿⡿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣷⣿⣿⣾⣾⣿⣾⣿⣾⡿⣿⣷⣿⣷⣿⣷⣿⣿⣿⣷⣿⣿⣿⣷⣿⡾⣿⣷⣷⣷⣿⣶⣿⣿⣷⣿⣾⣿⣿⣾⣿⣾⣿⢶⣿⣿⣿⣷⣿⣷⣿⣿⣷⣿⣿⣷⣿⢿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣟⣙⣿⣼⣯⣏⣟⣏⣿⣃⣝⣿⣇⣿⣛⣻⣿⣋⣿⣽⣏⣿⢛⣯⣿⣸⣿⣸⣿⣏⣿⣟⣃⣝⣿⡿⣯⣹⣯⣻⣝⣟⣟⣸⣿⣹⣻⣽⣏⣩⣻⣻⣻⣹⣹⣋⣿⣹⡯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠏⣻⡟⡟⣿⢿⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣷⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣟⣿⢻⣿⣿⡿⢿⣿⡟⢻⣿⣻⣿⣿⡟⣿⣿⢻⣿⡿⣿⢿⢟⣿⣻⣿⣿⠟⣻⢿⣿⢛⢿⡿⢿⢹⣿⣿⣿⣿⡛⣿⡿⣿⡟⢻⣿⣻⣿⢻⣿⣿⢿⣿⣿⣿⢻⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣧⣿⣯⣤⣧⣿⣿⣿⣿⣧⣮⣤⣾⣿⣿⣯⣿⣧⣸⣿⣾⣮⣤⣿⣿⣽⣿⣿⣿⣽⣿⣿⣿⣯⣧⣿⣧⣼⣯⣴⣿⣿⣿⣿⣷⣿⣿⣿⣿⣼⣿⣿⣯⣼⣿⣿⣿⣿⣴⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡿⡿⣿⡻⡿⠟⣽⠟⡏⣿⣿⢛⢟⢽⣻⡿⠛⣽⡿⢃⣽⠏⢯⡫⣿⢿⣯⣿⣝⢻⢟⣻⡫⣟⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣙⣿⣻⣿⣉⣿⣽⣿⣫⣿⣇⣿⣿⣻⣿⣻⣿⣽⣿⣯⣿⣉⣿⣿⣸⣿⣏⣏⣿⣙⣿⣿⣿⣹⣿⣿⣻⣿⣿⣿⣏⣹⣿⣯⣻⣉⣿⣿⣏⣸⣿⣩⣛⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⣿⢿⣿⣿⣿⣿⣿⠿⣿⠻⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⢻⣿⣿⢿⣿⣿⣿⢿⣿⡿⣿⠿⣿⣿⣿⡿⣿⣿⢿⣿⣿⣿⢿⣿⣿⡿⣿⡿⣿⡿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡷⣿⣿⣿⣿⣿⣾⣿⣾⣾⣿⣿⣿⣿⣿⣶⣿⣶⣿⣿⣿⣿⣿⢷⣿⣿⣿⣿⣶⣿⣷⣿⣿⣿⣷⣾⣿⣷⣿⣷⣿⣿⣿⣷⣿⣾⣾⣿⣿⣿⣿⣿⣿⣷⣿⣷⣿⣷⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣇⣿⣿⣟⣹⣿⣿⣏⣿⣻⣏⣾⣟⣿⣿⣿⡍⣿⣯⣹⣫⣽⣽⣹⣯⣹⣿⣻⣿⣿⣏⣿⣻⣿⣿⣻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⡿⢟⢿⣿⣿⣿⠻⢿⠟⢿⢿⠿⠿⠿⠿⠻⠿⢿⣿⢻⢿⢻⣟⡿⠿⠿⣿⠟⠿⠿⡿⢿⣿⢿⠿⢟⠟⢿⢻⠿⢿⡿⠿⢟⠿⢿⡿⠿⢿⡟⡟⢿⡛⠛⠿⠿⢿⠿⣿⠟⠿⠻⠿⡿⠿⠿⠻⠿⡿⠻⢿⣿⣿⣿⣿⣿⣿
⣿⣷⣮⣾⣿⣿⣿⢬⠼⢯⠭⠼⡯⠼⢤⣤⣤⣦⣴⡝⠀⠐⠙⠋⠃⠀⠀⠓⠀⠐⠀⠈⠁⠛⢡⢤⣬⣤⣴⡽⡯⣽⢧⣯⣭⣬⣼⣮⣦⣾⣧⡤⣼⣷⣯⣭⣤⡼⣧⣿⡥⣤⢬⢤⣧⣤⣤⣤⣼⣧⣤⣴⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣼⣧⣥⣥⣼⣤⣦⣼⣧⣤⣿⣤⡄⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣸⣼⣧⣤⣤⣬⣤⣿⣬⣤⣤⣼⣇⣲⣤⣶⣤⣤⣿⣤⣥⣤⣤⣤⣤⣤⣤⣿⣴⣧⣤⣤⣰⣤⣠⣤⣦⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣙⠫⣉⣋⣋⣙⣙⣉⣻⣈⣉⣏⣙⣛⣛⣙⣉⡹⣹⢏⣋⡋⢉⣉⣉⣙⣻⣏⣙⣙⣟⣋⣛⣛⣉⣙⣿⣈⣈⣿⣱⣉⣙⣍⣿⣹⣉⢫⢛⣛⣉⣁⣙⣉⣻⣀⣉⣿⣉⣉⣉⣙⣋⣻⣹⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢈⣉⡈⢭⣽⣍⣉⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 2780

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/06/13/When_They_Have_Nothing_Left_to_Help_Advance_Abusive_Litigation_.shtml
    Gemini version at gemini://gemini.techrights.org/n/2025/06/13/When_They_Have_Nothing_Left_to_Help_Advance_Abusive_Litigation_.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ When They Have Nothing Left to Help Advance
Abusive Litigation for Microsoft People... Other Than Throwing ~500 Pages of
Someone Else's Work Into a PDF⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jun 13, 2025


They sent this yesterday: (almost_all_of_it_is_my_own_work,_not_theirs)


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


Microsoft is having a very tough year. It's losing a ton of business. There's
no denying it. It also faces_massive_lawsuits for slop. The biggest such
lawsuit is connected to the man who begged and then extorted_me.


On upcoming Microsoft_layoffs (maybe 10,000 more layoffs), the_latest_is:
"Confirmed. This one is going to be bad. Pretty much every department and team
will lose headcount. Good luck all" (posted hours ago).


To me, personally, it seems like Microsoft is just trying to suppress
discussion. It's cheaper than tackling the company's many problems.


Regarding the law firm Microsoft people took, they stopped sending physical
letters (hence cheapening their service) and perhaps also realising that it's
"bad taste" to pick on my wife who was merely bullied (and wrote about the
bullying they had subjected her to, both by the law firm and their despicable
client). Moreover, they belatedly try to soften the tone, but it's too late...
as the veiled racist addressing or closeted xenophobia is in legal letters they
sent her for several months.


People subjected to such tactics will never forget. Some will never forgive,
either.


The above isn't out of the ordinary; it echoes what their other client did: he
basically assaulted women in America. Then he hired lawyers to bully those
women some more (in America). I, in the UK merely reported - correctly - what
had happened in America. So he took the same unscrupulous lawyers as his
litigation buddy ("another_former_Microsoft_researcher") to bully the person
who merely reported what he was jailed for while he was a Microsoft employee.
Does he seriously believe he can prevent me travelling to attend my in-laws'
50th wedding anniversary? Because he pushed some SLAPP and was dishonest with
lawyers and barristers in another continent? This is textbook abuse judges
would_not_fall_for: do horrible things, then try to make things horrible for
people who merely mention those horrible things. He_and_his_sponsors_are_going
to_have_to_pay_for_this.


It should be noted the hearing about this is controlled technically by
Microsoft, the law firm is technically controlled by Microsoft at every level
(not just the funding from Microsoft salaries), and trial_data_goes_to
Microsoft.


"So basically," a reader told us, "the court leaks *all* the privy details to
not just any third party but a third party of interest."


This is relevant in light of what happened at ICC only weeks ago.


And wait, it gets worse; it is abundantly, crystal_clear to both sides - the
other party as well (but it gets paid to pretend and to believe their client's
lies - he openly boasts about lying to people!) that I myself have nothing to
worry about; the other side, especially the person at hand, should be very
nervous having committed acts of violence against women (personal life) and
even worse things in his professional life (there's a massive lawsuit), so this
latest lawsuit was meant to try to silence me about this issue, as evidenced by
the "offer" made at the_last_minute (it's about censoring information,
including his time in prison, what led to that etc.) and, more importantly, to
help his American litigation buddy who tried - and failed - to silence me (we
sued him for what he had done to us [1, 2]). This is a couple of American
Microsofters recognising we had stepped in major scandals and likely caused the
removal of GitHub's CEO, who is the best friend of the man who advances a
second SLAPP right now at curious times and in tandem with the first. █


 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇oh_good_lord,_New_York?_Thanks_for_the_evidence_that_I've
                  been_part_of_the_conspiracy_for_20_years⦈_


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Balabhadra_(Alex)_Graveley,_Miguel_de_Icaza⦈_


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Promotes_Mono;_Works_with_Team_Mono;_Plagiarises_work;_Hired
           by_Microsoft;_Creates_plagiarism_programs_for_Microsoft⦈_


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Meanwhile,_outside_Microsoft:_Abuses_women;_Strangles_women;
   Gets_arrested;_Begs_people_who_mention_the_arrest;_Files_SLAPP_in_another
                  continent_after_many_efforts_at_extortion⦈_


    * The_Price_of_Exposing_Corruption_in_Poland_(and_Elsewhere)
    * American_Imperialism_and_Microsoft_Plagiarism


⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣾⣿⣿⣿⣿⣷⠀⢠⣠⣄⣀⣀⣀⢀⣠⣀⢠⣀⣀⣀⣀⢀⣀⡀⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⡀⣀⣄⣀⡀⣠⣠⠀⣠⡠⡠⡠⡀⠀⠀⠀
⠀⣿⣿⣿⣿⣿⣿⠀⠈⠉⠙⠋⠉⠉⠈⠉⠉⠈⠉⠉⠉⠉⠈⠉⠁⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠁⠋⠋⠋⠁⠚⠐⠂⠚⠑⠘⠒⠁⠀⠀⠀
⠀⣿⣿⣿⣿⣿⣿⠀⠸⡭⠷⠃⢨⠧⠿⠾⠿⠾⠷⠵⠯⠷⠷⠾⠚⠿⠾⠾⠓⠕⠽⠿⠿⠴⠗⠕⠅⠸⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢰⣲⣶⢢⢔⣖⣴⡆⣶⣶⢔⢶⣶⣶⢰⣶⣶⡢⢰⡖⢔⢴⡶⣶⣶⢰⣶⢴⠰⡒⣴⣦⢰⢶⣖⢶⣶⡶⢢⣶⣶⡆⣲⣴⡄⣢⢆⢶⣖⣖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠒⠦⠦⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⢄⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⠾⠶⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢀⠀⢠⠃⠀⢀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⢄⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣄⣼⠿⢿⣷⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣶⠁⠄⠄⠀⠤⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢚⣿⣇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠈⣿⣧⡄⠀⣈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢠⡤⣵⣿⣿⣿⣄⣾⡀⢸⣿⣻⣿⣿⣿⣿⣿⣿⡆⣠⡄⠀⠀⠀⠀⠛⠿⣯⣾⣁⣠⣠⣶⣿⣴⣀⣀⢀⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣆⣴⣿⣿⣿⣿⣿⡟⠟⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⢠⢿⣿⡂⠀⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⠁⠐⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠘⡭⡛⠁⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠈⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣆⣶⡌⠈⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣴⣤⣄⣀⡀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣶⣦⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⢀⡀⢄⢤⣤⣤⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣬⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣴⣾⣿⣿⣿⣷⡇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⢤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢈⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⢀⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⣴⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠛⠿⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⡇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⣠⣶⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡿⠴⠿⠿⣿⣿⣿⣿⣿⣿⣿⡿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⢬⡛⠿⡏⠛⡻⠃⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡟⣿⡇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣘⣃⡀⠛⣊⣀⣀⣁⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣟⣋⡗⠇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠠⣶⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠒⡓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣣⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠠⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠚⠛⢛⣿⠽⠷⠀⢰⣴⣤⣦⣶⣤⣤⣤⢰⣦⣤⣤⣤⢤⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠸⢿⣿⡷⠀⠀⢀⣀⣀⡀⢀⣀⢀⣀⣀⢀⢀⢀⣀⡀⣀⣀⢀⣀⣀⣀⠀⣀⡀⡀⢀⢀⢀⣀⣀⡀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠰⠿⠮⠟⠂⠀⠀⠘⠖⠛⠸⠱⠓⠛⠛⠟⠁⠓⠛⠛⠛⠋⠛⠋⠛⠘⠃⠛⠋⠂⠂⠐⠒⠛⠛⠓⠑⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣔⠖⣴⣴⣶⡤⣤⣤⣤⣦⢴⣤⢴⡤⣤⡤⡤⣤⢀⣤⡦⡄⡤⣤⢤⡤⣤⡆⢰⡤⣤⡤⡆⢰⢆⣦⡤⣤⡄⢢⢦⢤⡤⣦⢲⠐⠒⣶⣤⢤⣤⢰⣤⣤⢰⡠⣤⠄⡦⣦⣠⡄⣤⣤⣴⠠⣦⣤⣤⣤⣤⡤⠀⠀⠀⠀⠀
⠀⠙⡋⠈⠁⠉⣘⠉⠁⠉⡁⠉⠈⠈⠈⠈⠉⠉⠉⠀⡉⠁⠁⡘⡁⡁⠉⠈⠁⠈⠉⠈⠈⠉⠈⡀⠉⠁⠉⠀⠈⡀⠁⠁⢉⡈⣀⠀⠁⠁⠉⠁⠈⠉⠁⠈⠈⠉⠀⠈⠉⠈⠁⠈⠁⠉⠈⠁⠁⠁⠈⠁⠁⠀⠀⠀⠀⠀
⠀⠯⠿⠸⠟⠅⠏⠳⠻⠇⠯⠿⠿⠿⠏⠇⡯⠿⠿⠏⠇⠪⠿⠇⠯⠿⠺⠇⠯⠽⠕⠿⠼⢿⠕⠿⠽⠿⠭⡟⠸⠿⠕⠏⠰⠿⠼⢈⡎⠿⠿⠿⠹⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⡀⡀⠀⠀⡀⡀⢀⣀⣀⣀⡀⢀⣀⡀⣀⣀⢀⣀⢀⠀⠀⠀⣀⡀⠀⠀⢀⢀⠀⠀⡀⠀⠀⠀⠀⢀⠀⠀⡀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠋⠛⠛⠁⠃⠓⠐⠛⠓⠓⠓⠘⠛⠛⠛⠛⠘⠙⠛⠀⠀⠀⠻⠞⠀⠁⠘⠚⠛⠛⠛⠛⠛⠛⠁⠃⠋⠁⠛⠛⠛⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠘⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣿⣿⣿⣷⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢸⣿⣿⣿⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣭⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠈⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠤⠄⠀⠀⠀
⠀⠀⠀⠀⢿⣿⣿⣷⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠕⡟⠹⠸⠹⠹⠸⡹⠈⠛⠏⡏⠇⡏⣿⠋⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢺⣿⣿⣿⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡟⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⠿⠿⠟⡟⡛⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡀⠀⠙⢿⣿⡇⢸⣿⣿⡏⡹⡉⡏⡟⡟⡟⡟⡟⠟⡏⣿⢻⢹⠻⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣜⣷⣆⣇⣧⣳⣧⣻⣸⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠰⢿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⢀⣷⣤⡀⢉⢷⣌⣿⣿⡷⢿⣶⣷⣦⣦⣷⣶⣷⣾⣶⣿⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢫⡯⡟⣻⠛⡟⡟⢟⢻⢹⠛⠟⠟⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣠⣤⣴⣿⣿⣿⣿⣦⣜⢿⣿⣿⡇⢈⠹⡟⡉⠏⢝⠎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣷⣷⣿⣶⣿⣾⣾⣿⣾⣾⣿⣼⣿⠀⠂⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⣿⣆⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠈⢏⠛⣻⢿⣿⣿⣿⣿⣿⠃⠀⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⢀⢤⣰⠿⠿⠿⢿⡄⠀⡜⠀⠀⠀⠀⠀⠠⠀⠀⠐⠂
⠈⠀⠀⠀⠂⢸⠿⠻⣿⠃⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⠿⢿⣿⣿⣿⣷⡆⠀⠀⠀⠐⠛⠁⠀⠀⣀⣼⣿⠀⢡⣤⣤⣤⣄⣆⣀⣀⠀⠀⠀
⠀⠀⠠⣤⣴⠄⠔⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⣻⣿⣿⣿⣿⣿⡆⠀⡀⢰⣿⣤⣦⣴⣾⣿⣿⡆⠘⢿⣿⣿⣿⣿⣿⣿⣷⣄⠀
⠀⠀⡠⠉⠉⠃⠀⠈⠻⢿⣿⣿⣿⣿⣿⣯⣉⣈⡩⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⢛⣛⣛⣀⣶⣿⣿⣿⣿⣿⣿⡁⠈⠁⠠⣿⣿⡏⡍⠉⠉⠿⠁⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⡆
⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⣿⣿⣿⣿⣆⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡇⠠⡀⠀⠉⠁⠀⠀⠀⠀⠀⠀⣠⠀⢸⣿⣿⣻⣿⣿⠿⣿⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⣾⡟⣰⣮⣿⣿⣿⣿⡟⢚⢿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠋⠉⠁⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣦⣤⣶⣿⣿⣿⣿⣿⣿⣿⣧⣤⣤⣄⡀⠀⠞⢁⣴⣿⣿⣿⠿⣿⣿⠁⠀⠘⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⠿⣋⣴⣿⣿⢉⠉⠀⠛⠛⠡⠾⠿⠿⠚⠐⢺⣿⣟⠋⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣇⣀⣠⣶⣿⣿⣿⣿⣿⣿⢿⢃⣤⣾⣿⣿⣿⡿⠒⠐⢂⡀⠀⠀⠀⠁⠉⠻⠦⠔⠄⠏⠀⠀⠀⡀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠐⠁⠀⠩⣿⣿⣿⣿⣯⢸⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣋⣤⣾⣿⣿⣿⣿⠛⠋⠐⢍⡭⠡⠄⠀⠀⠀⠀⠀⠀⠨⠴⣟⠀⠀⠀⠀⠃⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⣶⣘⣿⣿⣆⠀⠐⢄⠀⠘⣿⣿⣿⣿⠴⣿⣿⡿⠈⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⣋⣵⣷⣄⠀⠀⠑⠂⠀⠊⠁⠀⠀⠀⢀⢐⢈⠹⠓⠀⠐⢒⠢⠀
⠀⠈⠀⠀⠀⠀⠀⠀⠀⠲⢶⣶⣶⣶⣾⣷⡖⣿⣿⣿⣿⣿⡄⠀⠑⠁⠀⠙⢿⣿⣾⠈⠼⠙⠁⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⣤⣾⣿⣿⢿⣿⡄⠀⠀⠀⠠⠄⠀⢀⡠⠔⣿⣿⣿⣿⣯⢤⣤⣼⣦⣾
⢑⢦⠀⠀⠀⢀⠀⠀⠀⠀⠉⠀⠀⣭⣭⣭⣽⢹⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠈⣿⣿⣀⠈⢀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢛⣻⣿⣿⣿⣿⣿⣵⣿⣿⠇⠀⠀⠀⢈⡠⠬⠉⣂⠭⠛⣿⣿⣿⣾⣿⣿⣾⣿⣿
⠐⢕⣗⢄⠀⠀⠐⠡⡀⠀⠀⠀⢄⠈⠙⢻⣿⣮⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⣿⣿⡟⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠀⠀⠀⠀⠀⢶⣦⣴⣲⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷
⣠⣀⣽⣿⣷⡀⠀⠀⠂⡪⠀⡀⠀⠈⠲⢄⠙⢿⣿⣿⣿⣿⣿⣿⡀⠀⣴⣤⡀⠹⣿⡇⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢛⣩⣶⣾⣿⣿⣿⠟⠋⠁⠀⠀⠀⢀⠀⣀⢄⠀⠚⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠊⠈⢤⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣷⡌⢿⣿⢿⡄⠹⣣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢋⣡⣶⣿⣿⣿⠋⠐⠋⠉⡡⠀⠀⠀⡄⢤⣄⣀⠲⣬⣀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⢿⣿⣿⣿
⣬⣙⠿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠎⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⣿⣷⣤⣷⣿⡿⣲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠿⢿⡿⠋⠁⠀⠀⠀⠀⠁⢀⢀⠩⣖⠸⣾⣿⣿⣧⣴⣿⡗⠀⠀⠀⠀⠀⠀⠉⠙⠛⠶⠾⠿⠿⠿
⣿⣿⣿⣾⣿⣿⡿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣻⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠆⠀⠑⢬⣷⣿⣿⣿⣿⣿⣿⣿⣦⣘⡀⢀⠶⣄⣤⣀⡀⣀⡀⠀⣀⣠
⠛⢛⣛⣻⣿⠿⣿⣿⡻⢿⣿⣿⣿⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠀⠀⠈⣻⣿⣷⣿⣿⢽⡿⢿⣿⣿⣷⣔⣎⣿⣿⣿⢽⣿⣾⣟⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡟⣿⠿⣿⡿⢿⢿⠿⡿⡿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣧⣿⣼⣾⣾⣧⣿⣽⣧⣧⣿⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⣿⣿⣹⣏⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣯⣧⣶⣿⣾⣽⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣯⣿⣭⣷⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣹⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢾⣷⣿⣧⣿⡿⡯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡏⣿⣿⢭⣿⣟⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣦⣼⣿⣧⣿⣿⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢈⢿⡇⡿⣻⢿⣻⢻⡟⡟⣟⣿⢻⣻⢘⣻⡗⣷⣿⣻⢻⣿⣿⡟⣟⢿⢻⢻⣟⣿⣿⣿⣿⢻⣺⣟⡟⣿⣿⢈⠿⡅⣿⣿⢻⣻⣛⣻⣻⣻⢻⣻⢿⡻⡏⣿⢹⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣾⣧⣷⣽⣽⣼⣼⣧⣧⣿⣴⣯⣿⣼⣿⣧⣿⣿⣽⣽⣻⣿⣧⣯⣾⣼⣼⣿⣭⣷⣿⣽⣼⣽⣯⣯⣿⣿⣼⣾⣧⣿⣽⣼⣽⣽⣿⣽⣽⣽⣼⣾⣷⣧⣿⣬⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣯⢻⣟⡿⣿⣿⡿⣻⣻⢿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣟⢹⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣾⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⠿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡹⡹⡏⡯⡏⡏⡏⡏⡋⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣾⣷⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣼⣿⣿⣧⣿⣴⣧⣿⣼⣷⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣯⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⣏⣿⣹⣏⣽⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣽⣿⣿⣯⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 3043

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/06/13/X11_is_Free_Software.shtml
    Gemini version at gemini://gemini.techrights.org/n/2025/06/13/X11_is_Free_Software.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ X11 is Free
Software⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jun 13, 2025


"I do use X11 for tasks that need a graphical interface. I have no preferred
graphical environment or window manager. Since my own practical interest in
using graphical environments is small, I don't want to spend time comparing
them. In fact, what I use is Maté. (The accent is used in English, with this
word as well as some others, to indicate a foreign word in which the final "e"
is not silent.)" -Richard Stallman


Richard Stallman's personal site says that "[a]s of 2022 I use a Thinkpad x200
computer", which isn't too surprising. Many in the FSF have similar
preferences.


No matter what IBM says ("Thinkpad" got sold to a Chinese company, Lenovo), X11
- and 'sibling' projects - is Free software and anyone can legally fork it.
This_was_discussed_yesterday_in_IRC.


Whether you agree (e.g. on politics) with the person/s forking it doesn't
matter. CoCs don't matter. This isn't "Ethical Source", this is Free software.
Everyone can fork it, even people you abhor. Undermining their efforts by other
means is an entirely separate thing. █


    * The_More_Time_Passes,_the_Better_Our_Advice_on_Social_Control_Media_Seems
    * Links_13/06/2025:_US_Reduces_Nonessential_Staff_at_Baghdad_Embassy_Ahead
      of_Strikes_in_Iran,_Invasion_of_California_Debated



                    ䷩ 𝚕𝚒𝚗𝚎 3087

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Gemini Links 13/06/2025: (Not)virtues and
Project Yeet Broadband⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jun 13, 2025


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


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


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


          o § Personal/Opinions⠀➾


                # ⚓ synth_moon_and_mush⠀⇛


                       Every full moon, Will ingest a good quantity of
                       mushroom and play electronic music for hours. This
                       full moon he decided to invite me to partake in his
                       ritual.


                       Theatre is done for the season so I had nothing
                       planned, and I really liked the idea to have a
                       music focused mushroom trip. Will and I have always
                       had a good time playing electronic music
                       improvisation in the past so I felt fairly
                       comfortable with my limited skill.


                # ⚓ The_Phoenician_Scheme⠀⇛


                       After wasting a good deal of life on MI7 (Amazing
                       stunts though), we saw the new Wes Anderson movie
                       which brought a great deal of joy even overcoming
                       the horribleness of the modern American theater
                       experience. I love Wes Anderson movies.


                # ⚓ 🔤SpellBinding:_ADEHWNI_Wordo:_BALKS⠀⇛


                # ⚓ purpose_is_a_dying_bird⠀⇛


                       Today, while on a walk through the neighborhood, my
                       friend and I chanced upon a baby bird sitting on
                       the pavement. It was tiny, and weak, and underneath
                       its gray wings was pink flesh. It could barely open
                       its eyes. As my friend searched for a nest, I
                       studied its shaking body in the palm of my hand.
                       The fledgling and I breathed together. I found a
                       makeshift nest, where it will die peacefully
                       enough, hidden from the cars.


                       Although no sound sprang from its opened beak, I
                       would know the bird species anywhere. They roost in
                       all the trees in the city I live in. They have
                       their own roosting season: two weeks in fall,
                       immediately before lifting off in mass migration.
                       In those two weeks, if you get downtown early
                       enough--between 6 and 7:15 in the morning--you will
                       hear them, thousands of birds singing and awakening
                       together, drowning out the city's soundscape. No
                       amount of human activity or infrastructure can
                       match the noise, not even the construction.


                # ⚓ cycle⠀⇛


                       never been more relieved to bleed
                       a phrase I keep repeating
                       funny how your greatest wish
                       so easily becomes your greatest fear
                       maybe funny is not the right word here
                       but it's what I have
                       the recurrence
                       first a cruel sign of failure
                       your body refusing
                       to function, to create meaning
                       then with time comes to be
                       the most welcome gift
                       a celebration
                       relief
                       assurance
                       you can remain whole
                       and not give away another piece of your soul
                       to someone else
                # ⚓ (Not)virtues⠀⇛


                       A certain paradox of modern moral norms is that we
                       don't seem to recognize the difference between
                       classical virtues and their opposite. Not only have
                       the boundaries blurred between the two, but because
                       of this we forget at all what virtues are and why
                       we should want to exercise them. We have traveled a
                       path from the division between virtue and the lack
                       thereof, the clear division between what is
                       desirable and what is undesirable, through the
                       ridicule and negation of the value of virtues, on
                       to filling the void thus created by elevating to
                       the status of virtues what is their opposite and,
                       consequently, getting completely lost in the
                       hierarchy. We have ceased not only to see what is
                       better and what is worse in us, but we cease to
                       have the ability to such categorization at all.


                       I am writing again about certain mechanisms. It is
                       not about “all of us” or anyone in particular. Nor
                       is it about the fact that it is the only thing that
                       happens and the changes have taken place in full
                       and are irreversible. No. It's about a regularity
                       that I notice. The direction of change seems to me
                       to be quite common. I come from observation of my
                       own life and my own struggles. I matured in the
                       conviction of the lack of value of classical
                       virtues, they were at best the object of jokes.
                       This caused many years of powerful confusion in my
                       hierarchy of values, inability to discern,
                       inability to choose directions and make life
                       choices.


          o § Politics and World Events⠀➾


                # ⚓ Whose_agenda_was_LAFRA_implementing?⠀⇛


                       Last year the UK government reformed leasehold and
                       freehold law, via the Leasehold and Freehold Reform
                       Act 2024. The law is now known as LAFRA and much of
                       it is not yet in force.


                       It came after a long process of proposals involving
                       the Law Commission and electoral manifestos. The
                       Law Commission's reports (on Right To Manage,
                       Enfranchisement and Commonhold) were referenced in
                       the government statement of its agenda in January
                       2021. These reports were commissioned in 2017 and
                       published in 2020.


                       But LAFRA doesn't touch on commonhold, and only
                       half of it is even to do with leasehold. The
                       legislation has eight substantive parts, and parts
                       5 to 8 are about estate management and building
                       safety.


          o § Technology and Free Software⠀➾


                # ⚓ Generative_'AI'_in_citizen_science:_the_iNaturalist
                  backlash⠀⇛


                       A couple of days ago, _iNaturalist_ – a citizen
                       science project/platform for observations of living
                       beings in the natural world – announced that they
                       were going to be part of a grant/program of Google
                       to implement _generative 'AI'_ (or "GenAI"[^1])
                       into their tooling. Since then, many users of
                       iNaturalist, including many power-users, have been
                       making their dissatisfaction about this heard, on
                       social media, the iNaturalist forum[1] and the blog
                       post that the iNaturalist team made in an attempt
                       at controlling the damage[2].


                # ⚓ Project_Yeet_Broadband?:_early_observations⠀⇛


                       I have stopped looking at my phone when I'm
                       working. It's right here; it's connected to my
                       laptop, as the hotspot works best that way. But I
                       don't pick it up.


                       I still get the urge to do so. But then it seems
                       silly, somehow, to look at the Internet on a device
                       I have connected to my laptop *to look at the
                       Internet.* So I don't. I got a client project
                       drafted in record time this morning.


                       I'm sure this will change. It always does. But for
                       the past three mornings, my phone has been sitting
                       right next to my laptop, yet I haven't picked it up
                       once. That's pretty impressive.


                # ⚓ Steam_Next_Fest_(June_2025)_—_Day_4⠀⇛


                       The black cat-themed day of Next Fest


                # § Internet/Gemini⠀➾


                      # ⚓ back_online⠀⇛


                             The Gopher server is back online.


                             The content is a little bit different, lots
                             of dead stuff has been removed. It's mostly
                             just the phlog now.


                             I shut down my Gopher server last year
                             because there were too many overlapping
                             "channels": Blog, phlog, twtxt, Mastodon/
                             Fediverse. I didn't know anymore where to
                             post what kind of content.


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


    * Links_13/06/2025:_Journalists_Targeted_by_Cracking,_China-Japan_and
      Israel-Iran_Tensions_Grow
    * next



                    ䷩ 𝚕𝚒𝚗𝚎 3341

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Gemini Links 13/06/2025: People You've Left
Behind, Life Update and OS Changes⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jun 13, 2025


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


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


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


          o § Personal/Opinions⠀➾


                # ⚓ The_Worst_Part_is_Seeing_the_People_You've_Left_Behind⠀⇛


                       I'm occasionally still on Facebook, mostly to keep
                       up on a few writing community-related things, and
                       in amongst that and the AI slop, Facebook
                       occasionally decides to show me things by old
                       friends.


                       And in some ways, I wish it wouldn't, because it's
                       devastatingly painful the way some of us have
                       changed and grown apart. I'm thinking in particular
                       of one friend: naturally brilliant, soaring through
                       high school without any obstacles, he crashed and
                       burned in university. Fell behind in classes,
                       failed classes, retook classes, failed them again.


                       His Facebook feed is maybe five or six posts a
                       year, most of which are out-of-context posts about
                       right-wing talking points. And I've wondered where
                       his heart's gone. He used to be the sort who'd do
                       anything for a friend, and it's been awful seeing
                       him fall to the ring-wing echo chamber of Rebel
                       News et al. When I was younger, I remember having a
                       conversation with someone decades older than me.
                       She told me I was idealistic now, but as I got
                       older, I'd naturally get more conservative.


                # ⚓ 🔤SpellBinding:_AUCIORB_Wordo:_QUICK⠀⇛


                # ⚓ fire⠀⇛


          o § Technology and Free Software⠀➾


                # ⚓ 2025-06-12⠀⇛


                       After trying various #Ubuntu #linux flavors on my
                       old laptop with only 4Gb of RAM, I needed to find
                       something lighter that didn't use up more than half
                       my RAM, but I still wanted disk encryption and
                       working hardware keys and trackpad. I tried #Devuan
                       (I pronounce this Dev-one) and it is awesome! Super
                       #lightweight and looks great. I only needed to add
                       a tap-to-click config and install xfce4-
                       screensaver, otherwise happy with the defaults.


                # ⚓ Life_Update_and_OS_Changes⠀⇛


                       The most significant thing in my life that has
                       changed is the fact I've moved into a new apartment
                       with my partner. We moved to Cardiff, Wales about 2
                       years ago and the rental market was very rough to
                       break into even on basic apartments. Because she
                       was moving from internationally to study here and
                       my employment situation was a far cry away from the
                       norm, it was really tricky to find letting
                       agencies/landlords who would rent to us.


                       We finally found someone from OpenRent to let us a
                       basic, small apartment for £750/mo. The catch being
                       that they wanted a £1,500 deposit and the entire 12
                       months tenancy in rent up front! This was a little
                       wild, but we really had no choice and luckily we
                       had the means to pay for it.


                # ⚓ working_smarter_and_harder?⠀⇛


                       I wanted to be able to go to
                       gemini.thebackupbox.net on my desktop, and have the
                       hostname resolve to the internal IP of the computer
                       hosting it, while still returning the WAN IP
                       address to the rest of the internet.


                       I also didn't want to do split-horizon DNS, and
                       while NAT hairpinning could almost the same effect,
                       it would cause the source IP to be wrong.


                       I've been duplicating a bunch of records between /
                       etc/hosts and unbound config and that gets
                       annoying. While re-reading an old blog post


                # ⚓ Thoughts_on_Video_Game_Diegesis_|_Part_2⠀⇛


                       Welcome back. Yesterday I wrote about a couple
                       examples of video games which circumvent an issue
                       not by solving it, but by avoiding anything that
                       might trigger it. This morning I came up with a
                       name for that sort of design (though it likely
                       already has one): prohibitive design. You are, in
                       some sense, 𝘱𝘳𝘰𝘩𝘪𝘣𝘪𝘵𝘪𝘯𝘨 your player from
                       encountering a problem you know exists. This
                       concept is crucial to diegetic design because it
                       focuses on what you can reasonably do without
                       breaking immersion. Knowing this, let's return to
                       desktop gaming for an exploration of interactivity.


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


    * Over_at_Tux_Machines...
    * Slopwatch_and_Yet_More_Holes_in_'Secure_Boot'_(as_Usual!),_Promoted
      Inside_Linux_by_the_Man_We_Are_Suing



                    ䷩ 𝚕𝚒𝚗𝚎 3494

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Links 13/06/2025: Journalists Targeted by
Cracking, China-Japan and Israel-Iran Tensions
Grow⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jun 13, 2025,
updated Jun 13, 2025


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Tel_Aviv_skies⦈_


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * Leftovers
          o Science
          o Health/Nutrition/Agriculture
          o Proprietary
                # Artificial_Intelligence_(AI)_/_LLM_Slop_/_Plagiarism
          o Security
                # Privacy/Surveillance
                # Confidentiality
          o Defence/Aggression
          o Environment
                # Energy/Transportation
          o Finance
          o AstroTurf/Lobbying/Politics
          o Labour_Rights/Censorship/Free_Speech
          o Freedom_of_Information_/_Freedom_of_the_Press
          o Monopolies/Monopsonies
                # Copyrights
    * § Leftovers⠀➾


          o ⚓ New York Times ☛ Brian_Wilson_and_Beach_Boys’_Style_Showed_What
            California_Living_Looked_Like⠀⇛


                 In Pendleton shirts and khakis, Mr. Wilson and the Beach
                 Boys showed the world what easy Southern California
                 living looked like.


          o § Science⠀➾


                # ⚓ New York Times ☛ Early_Humans_Settled_in_Cities._Bedbugs
                  Followed_Them.⠀⇛


                       A new study suggests that bedbugs were the first
                       urban pest, and their population thrived in that
                       environment. For the bloodsucking insects, it’s
                       been the perfect 13,000-year-long marriage.


                # ⚓ Science Alert ☛ Rare_Black_Iceberg_Goes_Viral_–_So_What_Is
                  Going_on_Here?⠀⇛


                       It could be up to 100,000 years old.


                # ⚓ Hackaday ☛ End_Of_An_Era:_NOAA’s_Polar_Sats_Wind_Down
                  Operations⠀⇛


                       Since October 1978, the National Oceanic and
                       Atmospheric Administration (NOAA) has operated its
                       fleet of Polar-orbiting Operational Environmental
                       Satellites (POES) — the data from which has been
                       used for a wide array of environmental monitoring
                       applications, from weather forecasting to the
                       detection of forest fires and volcanic eruptions.
                       But technology marches on, and considering that
                       even the youngest member of the fleet has been in
                       orbit for 16 years, NOAA has decided to retire the
                       remaining operational POES satellites on June 16th.


                # ⚓ Science Alert ☛ Wheels_May_Have_Been_Invented_to_Solve_a
                  Surprising_Problem⠀⇛


                       A different origin than we thought.


                # ⚓ Science Alert ☛ Ozempic_Without_Nausea:_Brain_Cell
                  Discovery_Could_Change_Weight-Loss_Drugs⠀⇛


                       Like semaglutide, without semaglutide.


                # ⚓ Science Alert ☛ Humpback_Whale_Bubble_Rings_May_Be_an
                  Attempt_to_Communicate_With_Us⠀⇛


                       Like an alien language.


                # ⚓ Science Alert ☛ Your_Breathing_Pattern_Is_as_Unique_as_a
                  Fingerprint,_Study_Finds⠀⇛


                       It gives away a lot more than you know.


                # ⚓ Science Alert ☛ Softgel_Capsules_Draw_Concerns_Over_Toxic
                  Shells._Here's_What_to_Know.⠀⇛


                       Awareness is key.


                # ⚓ Science Alert ☛ 'As_If_Time_Froze':_France's_Deepest
                  Shipwreck_Stuns_Archaeologists⠀⇛


                       16th-century trade secrets revealed.


                # ⚓ Science Alert ☛ Here's_Why_Rational_People_Skip_Vaccines
                  Even_When_They_Trust_Science⠀⇛


                       It’s a math problem?


          o § Health/Nutrition/Agriculture⠀➾


                # ⚓ PHR ☛ U.S._Aid_Freeze_Unleashes_Devastating_Health_Crisis
                  in_Ethiopia:_New_PHR_Research⠀⇛


                       An abrupt freeze on United States foreign aid is
                       catalyzing a preventable health catastrophe in
                       Ethiopia, Physicians for Human Rights (PHR) said
                       today in a new research brief. PHR calls on the
                       Convicted Felon administration to reverse global
                       health aid cuts and on other governments to help
                       provide sustainable funding to address the health
                       crisis in Ethiopia. […]


                       The post U.S._Aid_Freeze_Unleashes_Devastating
                       Health_Crisis_in_Ethiopia:_New_PHR_Research
                       appeared first on PHR.


                # ⚓ Science Alert ☛ Scientists_Found_Cancer_in_a_Dinosaur_–_And
                  It_Might_Help_Save_Human_Lives⠀⇛


                       Science through the ages.


          o § Proprietary⠀➾


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


                      # ⚓ Tom's Hardware ☛ China_claims_to_have_developed_the
                        world's_first_AI-designed_processor_—_LLM_turned
                        performance_requests_into_CPU_architecture [Ed: Slop
                        chips will suck as much as Slop-as-Code]⠀⇛


                             China’s leading scientific institution has
                             taken the wraps of QiMeng, an AI-powered
                             system designed to accelerate chip design.


                      # ⚓ Press Gazette ☛ New_IT_publication_appears_to_be
                        largely_[slop]-generated⠀⇛


                             Press Gazette cannot verify the credentials
                             of the site's two named authors.


          o § Security⠀➾


                # § Privacy/Surveillance⠀➾


                      # ⚓ Gunshot_detection_goes_mobile:_app_turns_phones_and
                        smartwatches_into_instant_security_sensors⠀⇛


                             Gunshot detection systems no longer require
                             dedicated specialist sensors, and can now
                             easily run on mobile phones and smartwatches.
                             One such system, Triangula, was on display
                             the Securex exhibition at Gallagher Estate
                             last week.


                      # ⚓ Silicon Angle ☛ Clownflare_sees_massive_rise_in
                        attacks_targeting_media,_nonprofits_and_human_rights
                        groups⠀⇛


                             A new report out today from Clownflare Inc.,
                             marking the 11th anniversary of Project
                             Galileo, reveals a sharp increase in
                             cyberattacks targeting civil society
                             organizations, with application-layer
                             distributed denial-of-service attacks
                             overtaking traditional web exploit attempts
                             by a wide margin.


                      # ⚓ OpenRightsGroup ☛ Dangerous_Data_Bill_Affects_Us_All,
                        Not_Just_Creative_Industries⠀⇛


                             Digital rights campaigners, the Open Rights
                             Group have warned that the Data Use and
                             Access Bill contains dangerous provisions
                             that will not only make it harder for people
                             to have control over their personal data and
                             lives, but also threaten adequacy status with
                             the EU.


                # § Confidentiality⠀➾


                      # ⚓ BIA Net ☛ How_secure_is_your_digital_life?⠀⇛


                             The Media Literacy Test, developed as part of
                             the "Our Media" project co-led by IPS
                             Communication Foundation/bianet, has been
                             updated with a new category: “Digital
                             Security and Online Protection.”


                      # ⚓ Meduza ☛ Chats_and_punishment:_Journalists_and_rights
                        groups_accuse_Telegram_of_FSB_ties_and_exposing_user
                        data_—_just_how_worried_should_users_be?_—_Meduza⠀⇛


                      # ⚓ Security Week ☛ Paragon_‘Graphite’_Spyware_Linked_to
                        Zero-Click_Hacks_on_Newest_iPhones⠀⇛


                             Citizen Lab publishes forensic proof that
                             spyware maker Paragon can compromise up-to-
                             date iPhones. Journalists in Europe among
                             victims.


          o § Defence/Aggression⠀➾


                # ⚓ American Oversight ☛ American_Oversight_Sues_over
                  Guantanamo_Deportation_Plan_Amid_Convicted_Felon’s
                  Authoritarian_Posturing⠀⇛


                       From Guantánamo and Alcatraz to a military parade
                       in the nation's capital on his birthday, the
                       president is channeling strongman imagery. Our
                       lawsuit seeks records related to the reported
                       Guantanamo detention plan.


                # ⚓ Federal News Network ☛ USDA_ended_contract_for_food
                  assistance_‘clearinghouse’_required_by_law,_lawsuit_claims⠀⇛


                       USDA has cancelled 750 contracts so far under the
                       Convicted Felon administration, according to a
                       tracker on its website.


                # ⚓ New York Times ☛ Calif._Senator_Forcibly_Removed_and
                  Handcuffed_After_Interrupting_Noem⠀⇛


                       Alex Padilla, Democrat of California, was shoved
                       out of a room and handcuffed after he tried to
                       question Kristi Noem, the homeland security
                       secretary, during a news conference.


                # ⚓ CS Monitor ☛ Immigration_has_been_a_winning_issue_for
                  Convicted_Felon._This_week_may_be_a_pivotal_test.⠀⇛


                       The LA protests are playing to the president’s
                       strengths around security and law enforcement, and
                       bringing the politics of immigration front and
                       center.


                # ⚓ Hong Kong Free Press ☛ Over_920,000_reports_made_to
                  national_security_hotline_in_past_4_years,_Hong_Kong_security
                  chief_says⠀⇛


                       Hong Kong police’s national security hotline
                       received over 920,000 reports over the past four
                       years, security chief Chris Tang has said. Speaking
                       at a ceremony on Thursday to mark five years since
                       the Beijing-imposed national security law was
                       enacted, Tang said Hongkongers “cannot relax or be
                       complacent.”


                # ⚓ American Oversight ☛ American_Oversight_Condemns_House
                  Homeland_Security_Committee’s_Unfounded_Probes_into
                  Nonprofits⠀⇛


                       The committee's actions are the latest effort to
                       weaponize congressional oversight and punish
                       organizations that do not conform to the Convicted
                       Felon administration’s political priorities.


                # ⚓ Pro Publica ☛ How_El_Salvador’s_Government_Impeded_a_U.S.
                  Probe_of_MS-13⠀⇛


                       In mid-April, President Donald Trump sat down in
                       the Oval Office with President Nayib Bukele of El
                       Salvador to celebrate a new partnership. They had
                       recently negotiated an extraordinary deal in which
                       El Salvador agreed to incarcerate in a maximum
                       security prison hundreds of Venezuelan immigrants
                       that the Trump administration had labeled as
                       violent criminals, though few had been convicted of
                       such crimes. The U.S. also sent back accused
                       members of the notorious Salvadoran gang MS-13 —
                       which both the U.S. and El Salvador have designated
                       as a terrorist organization.


                       Bukele’s presidency has been defined by his
                       successful crackdown against MS-13. He has jailed
                       tens of thousands of alleged gang members,
                       transforming one of the hemisphere’s most dangerous
                       nations into one of its safest. Although human
                       rights groups have criticized his tactics, Bukele
                       remains extremely popular in El Salvador.


                # ⚓ The Straits Times ☛ Noise_detente_on_Korean_peninsula_as
                  eerie_broadcasts_end⠀⇛


                       The North had been broadcasting a horror movie-
                       esque soundtrack into border areas since 2024.


                # ⚓ North_Korea_halts_loudspeaker_border_broadcasts_day_after
                  South_Korea’s_suspension⠀⇛


                       It’s the first concrete step by the South’s newly
                       elected president to ease tensions across the war-
                       divided border.


                # ⚓ The Straits Times ☛ South_Korean_stalking_victim_stabbed_to
                  death_while_under_police_protection⠀⇛


                       There were no signs of theft at her home, leading
                       police to suspect the man accused of stalking her.


                # ⚓ The Straits Times ☛ North_Korea's_Kim_Jong_Un_lauds
                  restored_destroyer,_says_more_to_be_built⠀⇛


                       Satellite images had shown ongoing repairs of the
                       5,000-ton destroyer that had partially capsised in
                       May.


                # ⚓ New York Times ☛ U.S._Reviewing_Aukus_Submarine_Deal_With
                  Australia,_Britain⠀⇛


                       The 2021 pact, meant to help counter China’s
                       ambitions in the Asia Pacific, will be examined to
                       ensure that it meets “America First criteria,” a
                       U.S. official said.


                # ⚓ The Straits Times ☛ Japan,_China_trade_barbs_after_Chinese
                  fighters_flew_close_to_Japanese_patrol_planes⠀⇛


                       Tokyo will maintain communications with Beijing and
                       monitor the airspace around its territories.


                # ⚓ New York Times ☛ Japan_Says_Chinese_Fighter_Jet_Flew_Too
                  Close_to_Its_Military_Plane⠀⇛


                       The maneuvers over international waters in the
                       Pacific last weekend prompted Japanese officials to
                       warn China not to repeat them and risk a collision.


                # ⚓ New York Times ☛ The_Art_of_the_Stall:_China’s_Strategy_for
                  Dealing_With_Convicted_Felon⠀⇛


                       Beijing has gained time to build up its own
                       strengths by drawing out negotiations with the
                       United States, using its chokehold over critical
                       minerals.


                # ⚓ The Straits Times ☛ China_affirms_trade_deal_with_US,_says
                  it_always_keeps_its_word⠀⇛


                       But the specifics of the latest deal and details on
                       how it will be implemented remain unclear.


                # ⚓ The Straits Times ☛ China-backed_militia_secures_control_of
                  new_rare_earth_mines_in_Myanmar⠀⇛


                       Beijing is heavily reliant on Myanmar for the rare
                       earth metals and oxides needed to produce them.


                # ⚓ Hong_Kong_exiles_seek_to_preserve_democracy’s_memory
                  through_Lennon_Walls_in_Taiwan⠀⇛


                       Hong Kong’s Lennon Walls were iconic features of
                       pro-democracy movement, including 2019 anti-
                       extradition protests.


                # ⚓ New York Times ☛ Gaza_Aid_Group_Says_8_Local_Workers_Killed
                  and_21_Wounded⠀⇛


                       Internet and landline services were also cut off in
                       the enclave after key telecommunications
                       infrastructure was damaged, according to a
                       Palestinian ministry.


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


                      # ⚓ Latvia ☛ Security_Council:_Elections_were_secure
                        despite_errors⠀⇛


                             The National Security Council concluded after
                             a meeting on 11 June that there were
                             significant errors in the organisation of the
                             recent local elections, but overall, the
                             elections were secure.


                      # ⚓ Latvia ☛ Security_guards_might_be_allowed_to_shoot
                        down_drones_in_Latvia⠀⇛


                             The Saeima will evaluate the Ministry of
                             Economics' (EM) proposal to allow security
                             service or security guard employees to shoot
                             down drones near infrastructure objects of
                             national importance if they threaten their
                             safety, LSM.lv reports.


          o § Environment⠀➾


                # ⚓ The Strategist ☛ Silent_risk_to_net-zero_commitment:
                  climate_policy_meets_national_security⠀⇛


                       Australia faces a growing dilemma: in attempting to
                       ease genuine climate challenges, it is creating
                       national security vulnerabilities by embedding
                       Chinese smart technologies in critical
                       infrastructure. This includes solar inverters and
                       batteries.


                # ⚓ The Straits Times ☛ Indonesia_invites_foreign_stakes_in
                  $102_billion_seawall_to_shield_coasts_from_floods⠀⇛


                       The seawall is meant to prevent floods along the
                       north coast of Java, the country’s most populous
                       island.


                # § Energy/Transportation⠀➾


                      # ⚓ The Straits Times ☛ Fatal_bus_crash_in_Malaysia:
                        Transport_Minister_warns_driver_to_stop_making
                        unverified_claims⠀⇛


                             The driver's claim that the brake system of
                             the bus had stopped working was not yet
                             proven.


                      # ⚓ The Straits Times ☛ ‘Unimaginable’:_Families_mourn
                        dead_in_Air_India_crash⠀⇛


                             Indian police said at least 265 bodies had
                             been recovered from the smouldering crash
                             site.


                      # ⚓ The Straits Times ☛ Air_India_plane_crash_draws
                        attention_to_flaps_and_landing_gear⠀⇛


                             The 787’s landing gear was never retracted,
                             which normally occurs just after takeoff.


          o § Finance⠀➾


                # ⚓ Mexico News Daily ☛ Should_Mexico’s_interest_rate_cuts
                  continue?_The_central_bank_appears_divided⠀⇛


                       After an upbeat report on the economy, the Bank of
                       Mexico weighs an interest rate cut that could
                       stimulate growth, but also worsen inflation.


          o § AstroTurf/Lobbying/Politics⠀➾


                # ⚓ The Straits Times ☛ South_Koreans_flock_to_Blue_House_ahead
                  of_presidential_return⠀⇛


                       Newly elected Lee Jae-myung plans to move the seat
                       of power back, triggering a frenzy of last-minute
                       visits.


                # ⚓ The Straits Times ☛ South_Korean_President_Lee_to_meet
                  chaebol_heads_in_bid_to_revive_economy⠀⇛


                       Chaebols, or family-controlled conglomerates, have
                       long been the economy’s main engine of growth.


                # ⚓ The Straits Times ☛ New_Zealand_PM_Luxon_to_meet_President
                  Pooh-tin_in_China,_then_head_to_Europe⠀⇛


                       This is Mr Luxon’s first visit to China since he
                       became prime minister in late 2023.


                # ⚓ Hong Kong Free Press ☛ Beijing_hails_improving_Vatican_ties
                  after_Pope_Leo_names_first_Chinese_bishop⠀⇛


                       Beijing hailed on Thursday improving ties with the
                       Vatican after the first appointment of a Chinese
                       bishop under Pope Leo XIV, signalling the new
                       pontiff’s support for a controversial accord on
                       nominations struck by his predecessor.


                # § Misinformation/Disinformation/Propaganda⠀➾


                      # ⚓ Silicon Angle ☛ Meta_files_lawsuit_against_Hey_Hi_
                        (AI)_firm_behind_fake_nonconsensual_nude_images⠀⇛


                             Meta Platforms Inc. announced today that it’s
                             suing a company that advertised generative
                             artificial intelligence apps on Meta’s
                             platforms that enabled users to “nudify”
                             people from a clothed image.


          o § Labour Rights/Censorship/Free Speech⠀➾


                # ⚓ New York Times ☛ China_Labor_Bulletin,_a_Rights_Group_in
                  Hong_Kong,_Shuts_Down⠀⇛


                       The China Labor Bulletin, which tracks factory
                       closures and worker protests in China, cited
                       financial difficulties for its dissolution.


                # ⚓ Hong Kong Free Press ☛ Hong_Kong-based_NGO_China_Labour
                  Bulletin_dissolves_after_3_decades,_cites_financial_strife⠀⇛


                       Hong Kong-based NGO China Labour Bulletin (CLB) has
                       announced its decision to dissolve, citing
                       difficulties with finances and debt. In a website
                       statement shared on Thursday, it said “the company
                       can no longer maintain operations and has decided
                       to dissolve and initiate the relevant procedures.”


                # ⚓ Critical_mineral_industries_in_China’s_far_west_using
                  Uyghur_forced_labor:_report⠀⇛


                       Global brands sourcing minerals from Chinese
                       producers in Xinjiang risk complicity in serious
                       rights abuses.


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


                # ⚓ Press Gazette ☛ Chiswick:_Local_news_oasis⠀⇛


                       Across the UK ‘deserts’ with no dedicated local
                       news coverage are increasing – with London
                       particularly hard hit by local newspaper closures
                       in recent years.


                # ⚓ Press Gazette ☛ Techcrunch_owner_says_he_is_‘doubling_down’
                  on_Europe_after_staff_axed [Ed: Liar. Absurd lie.]⠀⇛


                       Former staff hit out at comments from Techcrunch
                       publisher Michael Reinstein.


      § Monopolies/Monopsonies⠀➾


          o § Copyrights⠀➾


                # ⚓ Digital Music News ☛ Major_Music_Labels_Quickly_Back
                  Disney,_NBCUniversal_Lawsuit_Against_Midjourney⠀⇛


                       The Recording Industry Association of America
                       (RIAA) has strongly endorsed Disney &
                       NBCUniversal’s lawsuit against Hey Hi (AI) company
                       Midjourney. RIAA Chairman & CEO Mitch Glazier
                       issued a statement that underscores the broader
                       implications for creative industries. “There is a
                       clear path forward through partnerships that both
                       further Hey Hi (AI) innovation and foster human
                       artistry,” Glazier said.


                # ⚓ Public Domain Review ☛ Strings_Attached:_Helen_Haiman
                  Joseph’s_A_Book_of_Marionettes_(1920)⠀⇛


                       The first comprehensive history of marionette
                       artistry in the English language.


    * Links_13/06/2025:_US_Reduces_Nonessential_Staff_at_Baghdad_Embassy_Ahead
      of_Strikes_in_Iran,_Invasion_of_California_Debated
    * Gemini_Links_13/06/2025:_(Not)virtues_and_Project_Yeet_Broadband



                    ䷩ 𝚕𝚒𝚗𝚎 4194

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Links 13/06/2025: US Reduces Nonessential
Staff at Baghdad Embassy Ahead of Strikes in Iran, Invasion of California
Debated⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jun 13, 2025


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


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * Leftovers
          o Science
          o Career/Education
          o Hardware
          o Health/Nutrition/Agriculture
          o Proprietary
          o Pseudo-Open_Source
                # Openwashing
          o Entrapment_(Microsoft_GitHub)
          o Security
                # Privacy/Surveillance
          o Defence/Aggression
          o Transparency/Investigative_Reporting
          o Environment
                # Energy/Transportation
                # Wildlife/Nature
                # Overpopulation
          o Finance
          o AstroTurf/Lobbying/Politics
          o Censorship/Free_Speech
          o Freedom_of_Information_/_Freedom_of_the_Press
          o Civil_Rights/Policing
          o Internet_Policy/Net_Neutrality
          o Digital_Restrictions_(DRM)
          o Monopolies/Monopsonies
                # Patents
                # Copyrights
    * § Leftovers⠀➾


          o ⚓ Baldur Bjarnason ☛ Avoiding_generative_models_is_the_rational_and
            responsible_thing_to_do_–_follow-up_to_“Trusting_your_own_judgement
            on_‘AI...’”⠀⇛


                 I don’t recommend publishing your first draft of a long
                 blog post.


                 It’s not a question of typos or grammatical errors or the
                 like. Those always slip through somehow and, for the most
                 part, don’t impact the meaning or argument of the post.


                 No, the problem is that, with even a day or two of
                 distance, you tend to spot places where the argument can
                 be simplified or strengthened, the bridges can be
                 simultaneously strengthened and made less obvious, the
                 order can be improved, and you spot which of your
                 darlings can be killed without affecting the argument and
                 which are essential.


          o ⚓ Guy LeCharles Gonzalez ☛ Five_Things:_June_12,_2025⠀⇛


                 NOTE: I filtered and selected hundreds (probably
                 thousands) of unread emails in my Gmail account going
                 back more than 8 years — and marked them all as read
                 without looking at any of them. If I owe you an email and
                 it’s been weeks, or months, it’s quite possible I
                 optimistically marked it as unread and meant to get back
                 to it, or I never saw it at all. Nothing personal but
                 seeing “1-50 of many”, “51-100 of many”, etc., was
                 stressing me out. Email me now while the coast is clear
                 and I’ll have no excuses!


          o ⚓ Tracy Durnell ☛ Realities,_perceived_and_presented,_and_their
            relationship_to_Truth⠀⇛


                 [...] and he writes that film inherently separates viewer
                 from truth because of the camera intermediary: “His
                 creation is by no means all of a piece; it is composed of
                 many separate performances.” Semblances of reality may be
                 montaged together to create a seamless imitation of some
                 desired reality.


          o ⚓ Seth Godin ☛ Status_(and_the_grass_tax)_|_Seth's_Blog⠀⇛


                 When in doubt about why a cultural trope exists, look for
                 status.


          o ⚓ Ruben Schade ☛ A_wholistic_spam_review⠀⇛


                 Their data-driven system determined that unsolicited
                 spam—with poor HTML formatting—was the best way to get
                 results. Colour me impressed with their spectacular
                 introspective abilities!


          o ⚓ Mike Brock ☛ A_Meditation_Inside_Collapse⠀⇛


                 Every minute of every day, the invitation extends itself.
                 Not to heroism but to presence. Not to perfection but to
                 participation. Not to the grand gesture that changes
                 everything at once, but to the small choice that changes
                 everything slowly—the choice to remain awake when sleep
                 would be easier, to remain connected when isolation would
                 be safer, to remain human when the machinery of power
                 would reduce you to data points and consumer preferences.


          o ⚓ Matthew J Ernisse ☛ Using_My_ISP's_Custom_Ookla_Speedtest
            Server⠀⇛


                 I have been monitoring my ISP's performance since 2019
                 and while it as worked well enough to give a broad
                 overview the limitations of the speedtest-cli app and
                 speedtest.net's API have made the data... suspect. When
                 the tool starts up it queries the speedtest.net server
                 for a list of servers to use. It looks like it tries to
                 be smart about load balancing and geolocating you but the
                 result is that my ISP's servers (which are on-network and
                 therefore are what I'm trying to test, that being my link
                 speed not the speed of their links to the broader
                 Internet) are not listed. Worse still the list changes
                 every time you ask so even pinning to a specific server
                 doesn't always work so the data, beyond a vibe-check, is
                 useless.


          o ⚓ [Old] Bitsavers ☛ The_bitsavers_main_page⠀⇛


                 As of Mar, 2025 there are over 179000 files including
                 over 8.4 million text pages in the 1.68tb archive.


          o § Science⠀➾


                # ⚓ Science Alert ☛ The_Center_of_Our_Universe_Does_Not_Exist.
                  A_Physicist_Explains_Why.⠀⇛


                       Spacetime is weird.


                # ⚓ Science Alert ☛ Just_How_Dirty_Are_Beards?_Here's_The
                  Science.⠀⇛


                       A hairy question.


                # ⚓ Science Alert ☛ Humanity_Has_Just_Glimpsed_Part_of_The_Sun
                  We've_Never_Seen_Before⠀⇛


                       Confirmed: The Sun shines there.


                # ⚓ Science Alert ☛ New_Tyrannosaur_Species_Could_Be_a_Missing
                  Link_to_The_Giants⠀⇛


                       Hail to the prince.


                # ⚓ Science Alert ☛ 'City-Killer'_Asteroid_Even_More_Likely_to
                  Hit_The_Moon_in_2032⠀⇛


                       C'mon space kaboom!


                # ⚓ Science Alert ☛ A_Forgotten_Cancer_Is_Surging_in_Young
                  People,_And_Experts_Are_Puzzled⠀⇛


                       A concerning trend is emerging.


                # ⚓ Daniel Lemire ☛ Let_us_bury_the_linear_model_of
                  innovation⠀⇛


                       There is an extremely naive model of science and
                       innovation called the linear model: The model
                       postulated that innovation starts with basic
                       research, is followed by applied research and
                       development, and ends with production and
                       diffusion. According to Godin (2006), the model has
                       been falsely attributed to Bush and its dominance
                       is derived rather from its remarkable simplicity.
                       It aligns with a technocratic worldview where
                       bureaucrats get to steer science and innovation.


                       Yet it has been long documented that innovations
                       arise from practical experience and are driven by
                       user demand. My favorite example is the industrial
                       revolution which was driven by textile which, in
                       turn, served to provide comfortable underwear for
                       women. We invented modern-day keyboards after
                       musicians perfected the keyboard for musical
                       instruments.


                # ⚓ Evan Hahn ☛ Getting_over_my_grudge_against_the_periodic
                  table⠀⇛


                       I think this was the most important thing I learned
                       from the book. The periodic table is useful, but
                       doesn’t have all the facts. It mostly encodes
                       trends, not rules. I can’t use the periodic table
                       to perfectly determine potassium’s appearance, for
                       example. But it might help me make a guess if I
                       know about the elements around it.


          o § Career/Education⠀➾


                # ⚓ Cynthia Dunlop ☛ Scott_Hanselman_and_Mark_Downie:_Blogging
                  for_Developers⠀⇛


                       Scott Hanselman is practically synonymous with
                       technical blogging. So when we were finishing our
                       book on writing engineering blogs, we anxiously
                       shared a draft with him after some editorial
                       coercion, errr, encouragement. We honestly didn’t
                       expect him to respond. But he did! After reading
                       the manuscript, Scott offered some sage suggestions
                       and graciously volunteered to contribute to the
                       book project – leading to this amazing afterword.


                # ⚓ Wired ☛ Inexpensive_AI_Agents_Threaten_Entry-Level_Coding
                  Jobs⠀⇛


                       The numbers don’t sit right with him. Arrigoni, who
                       runs Loti AI, a company that helps Hollywood stars
                       find unauthorized deepfakes, worries that
                       underpriced AI tools encourage companies to
                       eliminate entry-level roles. He wants to flip the
                       incentive structure so people’s careers don’t end
                       before they begin. “If you make the AI systems more
                       expensive, then you have an economic incentive to
                       hire someone that is starting out,” he says.


                # ⚓ Rosie Spinks ☛ Everyone_I_know_is_worried_about_work⠀⇛


                       Almost everyone I know is worried about work:
                       finding a job, keeping the one they have, or what
                       will happen when the work they do no longer exists.


          o § Hardware⠀➾


                # ⚓ Hackaday ☛ COTS_Components_Combine_To_DIY_Solar_Power
                  Station⠀⇛


                       They’re marketed as “Solar Generators” or “Solar
                       Power Stations” but what they are is a nice box
                       with a battery, charge controller, and inverter
                       inside. [DoItYourselfDad] on Youtube decided that
                       since all of those parts are available separately,
                       he could put one together himself.


                # ⚓ Hackaday ☛ Compound_Press_Bends,_Punches_And_Cuts_Using_3D
                  Printed_Plastic⠀⇛


                       It’s not quite “bend, fold or mutilate” but this
                       project comes close– it actually manufactures a
                       spring clip for [Super Valid Designs] PETAL light
                       system. In the video (embedded below) you’ll see
                       why this tool was needed: by-hand manufacturing
                       worked for the prototype, but really would not
                       scale.


                # ⚓ Hackaday ☛ Step_Into_Combat_Robotics_With_Project_SVRN!⠀⇛


                       We all love combat robotics for its creative
                       problem solving; trying to fit drivetrains and
                       weapon systems in a small and light package is
                       never as simple as it appears to be. When you get
                       to the real lightweights… throw everything you know
                       out the window! [Shoverobotics] saw this as a
                       barrier for getting into the 150g weight class, so
                       he created the combat robotics platform named
                       Project SVRN.


                # ⚓ Hackaday ☛ This_Relay_Computer_Has_Magnetic_Tape_Storage⠀⇛


                       Magnetic tape storage is something many of us will
                       associate with 8-bit microcomputers or 1960s
                       mainframe computers, but it still has a place in
                       the modern data center for long-term backups. It’s
                       likely not to be the first storage tech that would
                       spring to mind when considering a relay computer,
                       but that’s just what [DiPDoT] has done by giving
                       his machine tape storage.


                # ⚓ Tom's Hardware ☛ Banned_China_chipmaker_YMTC_sues_Micron
                  again,_now_over_serious_defamation_claims_—_Micron_funded
                  anti-Chinese_tech_misinformation_campaigns_to_get_ahead,_says
                  YMTC⠀⇛


                       Yangtze Memory Technologies Company has launched
                       its second lawsuit against Micron within the last
                       two years, the third total in their lengthy legal
                       battle. The new suit accuses Micron of funding a
                       lengthy astroturfing misinformation campaign aimed
                       at slanderizing YMTC in the American market.


                # ⚓ Robert OCallahan ☛ Building_A_PC⠀⇛


                       I opted to build it myself, mainly for fun, but
                       partly because I wanted to learn a bit about how
                       modern PCs are put together. That also meant I
                       didn’t have to buy a copy of Windows, which I would
                       just have deleted immediately. That saved me 200
                       NZD, which isn’t much, but it gave me a good
                       feeling. The whole system cost a bit under 4K NZD.


          o § Health/Nutrition/Agriculture⠀➾


                # ⚓ Federal News Network ☛ Hunger_Free_America_files_lawsuit
                  after_cancellation_of_USDA_contract⠀⇛


                       The nonprofit Hunger Free America says it ran an
                       “information clearinghouse” of food assistance
                       programs for USDA for more than a decade.


                # ⚓ Hackaday ☛ Hacking_T_Cells_To_Treat_Celiac_Disease⠀⇛


                       As there is no cure for celiac disease, people must
                       stick to a gluten free diet to remain symptom-free.
                       While this has become easier in recent years,
                       scientists have found some promising results in
                       mice for disabling the disease. [via ScienceAlert]


                # ⚓ Jeremy Cherfas ☛ A_quinoa_dilemma⠀⇛


                       Of course that’s an oversimplification, but it
                       captures the spirit of the problem. The small
                       farmers deserve some recompense for the work their
                       communities carried out over the centuries, first
                       to domesticate and then to cultivate quinoa, and
                       along the way creating scores of distinct varieties
                       that offer resilience and food security. I want to
                       support them, if I can.


                # ⚓ Maine Morning Star ☛ ‘Expensive_and_complicated’:_Most
                  rural_hospitals_no_longer_deliver_babies⠀⇛


                       Nationwide, most rural hospitals no longer offer
                       obstetric services. Since the end of 2020, more
                       than 100 rural hospitals have stopped delivering
                       babies, according to a new report from the Center
                       for Healthcare Quality & Payment Reform, a national
                       policy center focused on solving health care issues
                       through overhauling insurance payments. Fewer than
                       1,000 rural hospitals nationwide still have labor
                       and delivery services.


                # ⚓ 404 Media ☛ AI_Therapy_Bots_Are_Conducting_'Illegal
                  Behavior,'_Digital_Rights_Organizations_Say⠀⇛


                       Exclusive: An FTC complaint led by the Consumer
                       Federation of America outlines how therapy bots on
                       Meta and Character.AI have claimed to be qualified,
                       licensed therapists to users, and why that may be
                       breaking the law.


                # ⚓ [Old] New Yorker ☛ Why_Doctors_Hate_Their_Computers⠀⇛


                       The surgeons at the training session ranged in age
                       from thirty to seventy, I estimated—about sixty per
                       cent male, and one hundred per cent irritated at
                       having to be there instead of seeing patients. Our
                       trainer looked younger than any of us, maybe a few
                       years out of college, with an early-Justin Bieber
                       wave cut, a blue button-down shirt, and chinos.
                       Gazing out at his sullen audience, he seemed
                       unperturbed. I learned during the next few sessions
                       that each instructor had developed his or her own
                       way of dealing with the hostile rabble. One was
                       encouraging and parental, another unsmiling and
                       efficient. Justin Bieber took the driver’s-ed
                       approach: You don’t want to be here; I don’t want
                       to be here; let’s just make the best of it.


          o § Proprietary⠀➾


                # ⚓ Qt ☛ Qt_Design_Studio_4.7.2_Released⠀⇛


                       Earlier this year, we released Qt_Design_Studio
                       4.7. After the main release, we still had a couple
                       of quirks here and there. Now is the perfect time
                       if you have not yet upgraded Qt Design Studio to
                       4.7.


                # ⚓ Qt ☛ Security_advisory:_Recently_discovered_issue_in_ICNS
                  image_format_handling_impacts_Qt⠀⇛


                       When loading a specifically crafted ICNS format
                       image file then it will trigger a crash. 


                       This has been assigned the CVE id CVE-2025-5683.


                # ⚓ MediaReflector ☛ Microsoft_pushes_emergency_Windows_11
                  update_to_fix_game_crash_bug_tied_to_anti-cheat_software [Ed:
                  Breaking your own product with rootkits]⠀⇛


                # ⚓ Lee Peterson ☛ I’ve_tried_iOS_26_and_didn’t_like_it⠀⇛


                       I’ve got a super busy month coming up but against
                       my better judgement I still decided to give iOS 26
                       a try on my iPhone 15 Pro. I lasted less than 24
                       hours before going back to iOS 18.5. There are the
                       usual issues of glitches, battery life and heat but
                       it’s the design that got me off it this time.


                # ⚓ Krebs On Security ☛ Inside_a_Dark_Adtech_Empire_Fed_by_Fake
                  CAPTCHAs⠀⇛


                       Late last year, security researchers made a
                       startling discovery: Kremlin-backed disinformation
                       campaigns were bypassing moderation on social media
                       platforms by leveraging the same malicious
                       advertising technology that powers a sprawling
                       ecosystem of online hucksters and website hackers.
                       A new report on the fallout from that investigation
                       finds this dark ad tech industry is far more
                       resilient and incestuous than previously known.


                # ⚓ Matt Birchler ☛ Liquid_Glass_isn’t_Vista_2.0,_it’s_iOS_7
                  2.0⠀⇛


                # ⚓ The Register UK ☛ Google_Cloud_goes_down,_takes_Cloudflare
                  with_it⠀⇛


                       Google’s Cloud Console was among the afflicted
                       services, meaning users couldn’t log in to figure
                       out why other impacted services like Cloud Storage
                       and Cloud SQL weren’t working.


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


                      # ⚓ Futurism ☛ Zuckerberg's_Meta_Just_Made_a_Huge
                        Investment_in_a_Very_Dark_AI_Company⠀⇛


                             Meta's AI development isn't going quite as
                             well as billionaire CEO Mark Zuckerberg had
                             hoped. Once a frontrunner in the AI race, a
                             year's worth of technical failures and
                             setbacks to his company's "state-of-the-art"
                             Llama 4 Behemoth have spurred Zuckerberg to
                             pull out all the stops.


                      # ⚓ David Rosenthal ☛ The_Back_Of_The_AI_Envelope⠀⇛


                             Lets try to figure out the return on this
                             investment. We will assume that the $80B is
                             split two ways, $40B to Nvidia for hardware
                             and $40B on building data centers to put it
                             in. Depreciating the $40B of hardware over
                             five years is very optimistic, it is likely
                             to be uneconomic to run after 2-3 years. But
                             that's what we'll do. So that is minus $8B/
                             year on the bottom line over the next five
                             years. Similarly, depreciating the data
                             centers over 20 years is likely optimistic,
                             given the rate at which AI power demand is
                             increasing. But that's what we'll do, giving
                             another minus $2B/year on the bottom line.


                      # ⚓ Terence Eden ☛ Large_Language_Models_and_Pareidolia⠀⇛


                             I was using an AI tool to scan all my photos.
                             I wanted it to recognise all the human faces
                             so that I could tag my photos with my
                             friends' names. One of the photos it
                             presented for tagging was this:


                             Are those faces? Undoubtedly yes! Is this a
                             mistake that a human would have made?
                             Absolutely not!


                      # ⚓ Shayon Mukherjee ☛ Premature_closure_and_the_role_of
                        Senior_Engineer_in_the_world_of_AI⠀⇛


                             This medical case study illustrates
                             “premature closure”—a cognitive error where
                             physicians latch onto an initial diagnosis
                             and fail to consider reasonable alternatives.
                             In this case, the atypical presentation led
                             multiple experienced doctors to anchor on the
                             most probable explanation while nearly
                             missing a critical, less common condition.


                             The same pattern is emerging in software
                             development as AI coding assistants become
                             more sophisticated. The models are so good
                             now that their first suggestion often looks
                             not just plausible, but convincing.
                             Professional formatting, clean code, proper
                             naming conventions—everything appears right.
                             And therein lies the trap.


                      # ⚓ Manton Reece ☛ Enough_with_AI⠀⇛


                             You can roll your eyes at this post. While I
                             have a good track record of predicting the
                             fallout from other major tech shifts, like
                             mobile app distribution (2011) and
                             centralized social networks (2012), there are
                             too many forces at play here to be certain of
                             what AI will look like in a decade. I only
                             know that it will change many things. I can
                             barely guess at the details.


                      # ⚓ The Register UK ☛ Devs_mostly_welcome_AI_coding_tools
                        but_don't_trust_them⠀⇛


                             For its report titled "The State of AI Code
                             Quality 2025" – provided in advance to The
                             Register – Qodo earlier this year conducted a
                             survey of 609 developers using unspecified AI
                             coding tools at a variety of organizations in
                             different industries, ranging from startups
                             to enterprises. A whopping 82 percent of the
                             respondents said they use the tools at least
                             weekly, and 78 percent reported productivity
                             gains from them.


                # § Social Control Media⠀➾


                      # ⚓ Futurism ☛ Influencer_Sobs_in_Front_of_TikTok
                        Headquarters_After_Getting_Banned⠀⇛


                             Just ask Natalie Reynolds, an influencer with
                             millions of followers, who was so upset that
                             she got banned from TikTok that she recently
                             went to one of the social media company's
                             offices and was filmed crying and screaming
                             while on the phone with her dad.


                      # ⚓ Mandy Brown ☛ De-caring⠀⇛


                             This is not an accident; the intent of these
                             tools is to anesthetize the users, to control
                             them by controlling their entire interface
                             with the world. The obsequious personalities
                             are a saccharine cover for a takeover: when
                             you can’t read or think or act on your own,
                             but must ask the bot to do it for you, you
                             are not free. Freedom requires uncertainty.


                      # ⚓ Dhole Moments ☛ Furries_Need_To_Learn_That_Sunlight
                        Is_The_Best_Disinfectant⠀⇛


                             While I doubt these twits would agree with
                             each other in a social media discussion, it’s
                             pretty easy to see a common narrative
                             structure that underlies many of their
                             arguments.


          o § Pseudo-Open Source⠀➾


                # § Openwashing⠀➾


                      # ⚓ GreyCoder ☛ Threema:_The_Swiss_Secure_Messenger_for
                        Privacy⠀⇛


                             Threema has regular external audits and
                             reproducible builds. The company adheres to
                             strict Swiss data protection laws and is
                             fully GDPR-compliant.


          o § Entrapment (Microsoft GitHub)⠀➾


                # ⚓ How_to_set_an_SSH_connection_to_GitHub_from_Ubuntu [Ed:
                  GitHub is proprietary and Microsoft, why associate this with
                  SSH?]⠀⇛


                       If you’re tired of typing your GitHub password
                       every time you push code or just want a more secure
                       way to interact with your repositories, SSH keys
                       are the answer. Unlike HTTPS, which requires
                       constant authentication, SSH establishes a secure,
                       password-less connection between your Ubuntu
                       machine and GitHub, making your workflow faster and
                       safer.


          o § Security⠀➾


                # § Privacy/Surveillance⠀➾


                      # ⚓ Scoop News Group ☛ Digital_rights_groups_sound_alarm
                        on_Stop_CSAM_Act⠀⇛


                             The organizations say a reintroduced version
                             of the bill would “break” encryption for most
                             Americans and make it impossible for end-to-
                             end encrypted service providers to avoid
                             lawsuits.


                      # ⚓ Wired ☛ How_Waymo_Handles_Footage_From_Events_Like
                        the_LA_Immigration_Protests⠀⇛


                             Over the past several years, Waymo has
                             repeatedly shared video footage with police
                             after receiving formal legal requests. But
                             it’s not clear how often the self-driving
                             company, which is owned by Google’s parent
                             organization Alphabet, complies with these
                             demands. Unlike Google, Waymo doesn’t
                             disclose the number of legal requests it
                             receives nor how it responds to them. When
                             police do obtain footage, they could also
                             combine it with other technology—like face
                             recognition or nonbiometric tools for finding
                             and tracking people in videoclips—to identify
                             possible criminal suspects.


                      # ⚓ Wired ☛ The_Meta_AI_App_Lets_You_‘Discover’_People’s
                        Bizarrely_Personal_Chats⠀⇛


                             This is just one of many seemingly personal
                             conversations that can be publicly viewed on
                             Meta AI, a chatbot platform that doubles as a
                             social feed and launched in April. Within the
                             Meta AI app, a “discover” tab shows a
                             timeline of other people’s interactions with
                             the chatbot; a short scroll down on the Meta
                             AI website is an extensive collage. While
                             some of the highlighted queries and answers
                             are innocuous—trip itineraries, recipe
                             advice—others reveal locations, telephone
                             numbers, and other sensitive information, all
                             tied to user names and profile photos.


                      # ⚓ Bruce Schneier ☛ Airlines_Secretly_Selling_Passenger
                        Data_to_the_Government_-_Schneier_on_Security⠀⇛


                      # ⚓ GO Media ☛ Airlines_Secretly_Sold_You_Out_To_The_Feds
                        For_Just_$11,025⠀⇛


                             While there's scrutiny over who can and can't
                             enter the country on a plane, there's no
                             official method that federal law enforcement
                             can use to track passengers on domestic
                             flights. However, an investigation revealed
                             that the country's major airlines sold the
                             flight records of domestic travelers to
                             Customs and Border Protection (CBP) for only
                             $11,025 on the grounds that the agency
                             doesn't reveal where this data came from. One
                             would assume that this massive breach of
                             public privacy would be worth more than five
                             figures.


                             The bulk data sale was conducted by the
                             Airlines Reporting Corporation (ARC), a
                             broker owned and operated by American, Delta,
                             United, Southwest, Alaska, JetBlue and Air
                             Canada. Typically, ARC is an intermediary
                             between airlines and travel agencies,
                             allowing third-party airline ticket resellers
                             to operate and offering valuable market data
                             to carriers.


                      # ⚓ The Record ☛ 23andMe_privacy_ombudsman_recommends
                        company_obtains_consent_for_sale_of_customer_data⠀⇛


                             The sale of millions of consumers' genetic
                             data without such consent may be in conflict
                             with 23andMe’s privacy policy and public
                             statements, ombudsman Neil Richards said in a
                             court filing.


                      # ⚓ Scoop News Group ☛ Predator_spyware_activity_surfaces
                        in_new_places_with_new_tricks⠀⇛


                             The discovery of the Mozambique customer fits
                             in with the high level of Predator activity
                             across Africa. The Czech link confirms
                             reporting from an investigative outlet in the
                             country. The Eastern European activity was
                             brief, from August to November of last year,
                             suggesting possible development or testing,
                             Recorded Future said.


                             Intellexa has also taken additional steps to
                             evade detection.


                      # ⚓ The Record ☛ Predator_spotted_in_Mozambique_for_first
                        time,_another_sign_of_spyware’s_availability⠀⇛


                             Mozambique is one of several African
                             countries where the spyware has appeared,
                             according to Insikt, which says that the
                             continent hosts more than half of known
                             Predator customers.


                      # ⚓ The Recorded Future Inc ☛ Predator_Spyware
                        Resurgence:_Insikt_Group_Exposes_New_Global
                        Infrastructure⠀⇛


                             The deployment of spyware like Predator
                             beyond legitimate criminal or
                             counterterrorism use poses serious threats to
                             privacy, legal rights, and the physical
                             safety of both direct targets and associated
                             individuals. While most known cases of abuse
                             have targeted civil society and political
                             activists, individuals and organizations in
                             regions with a record of spyware misuse
                             should remain vigilant, regardless of sector.
                             Given Predator’s expensive licensing model,
                             its use is typically reserved for high-value,
                             strategic targets. This makes politicians,
                             corporate executives, and others in sensitive
                             positions especially vulnerable due to the
                             intelligence they may possess. The use of
                             spyware against political opposition figures
                             is currently under investigation in several
                             EU countries, reflecting wider global efforts
                             to curb the activities of mercenary spyware
                             developers.


                      # ⚓ Wired ☛ Congress_Demands_Answers_on_Data_Privacy
                        Ahead_of_23andMe_Sale⠀⇛


                             Signed by 20 other Democratic members of
                             Congress, the letters—which can be read here
                             and here—were sent to Regeneron
                             Pharmaceuticals and TTAM Research Institute,
                             which have put forth separate bids to buy
                             23andMe. In the letters, they ask Regeneron
                             and TTAM if they will continue to give
                             customers the option to delete their data and
                             withdraw consent for their data to be used in
                             medical research. They also want to know if
                             23andMe’s current policy of not sharing
                             genetic data with law enforcement without a
                             warrant will be upheld, and whether both
                             entities intend to proactively notify 23andMe
                             customers about the sale.


                      # ⚓ Jorge García Herrero ☛ “Localhost_tracking”
                        explained._It_could_cost_Meta_32_billion.⠀⇛


                             This is the process through which Meta
                             (Facebook/Instagram) managed to link what you
                             do in your browser (for example, visiting a
                             news site or an online store) with your real
                             identity (your Facebook or Instagram
                             account), even if you never logged into your
                             account through the browser or anything like
                             that.


                             Meta accomplishes this through two invisible
                             channels that exchange information:


                             (i) The Facebook or Instagram app running in
                             the background on your phone, even when
                             you’re not using it.


                             (ii) Meta’s tracking scripts (the now-pulled
                             illegal brainchild uncovered last week),
                             which operate inside your mobile web browser.


                      # ⚓ Zimbabwe ☛ Finally,_Samsung's_fridges_now_ring_your
                        phone_and_call_you_by_name⠀⇛


                             The best feature is that you can tell the
                             fridge to ring your phone. That would be
                             useful when you can’t remember where you put
                             it. Because it recognises your voice, it
                             already knows which phone is yours and just
                             proceeds to ring it.


          o § Defence/Aggression⠀➾


                # ⚓ France24 ☛ Marines_in_LA:_Convicted_Felon_chooses_strategy
                  of_escalation_against_anti-ICE_protests⠀⇛


                       US President The Insurrectionist has ordered a
                       battalion of Marines dubbed the “War Dogs” to Los
                       Angeles in response to protests against his policy
                       of mass deportations of undocumented migrants. It’s
                       a decision that seems designed to pour oil on the
                       fire – and put pressure on California’s Democratic
                       Governor Gavin Newsom.


                # ⚓ New York Times ☛ Austria_Has_Lots_of_Guns,_Little_Gun
                  Violence,_and_New_Questions⠀⇛


                       The deadliest school shooting in the nation’s
                       recent history has prompted some gun enthusiasts to
                       worry about the prospect of stricter ownership
                       laws.


                # ⚓ New York Times ☛ Why_California_Says_Convicted_Felon’s
                  Military_Deployment_Is_Illegal⠀⇛


                       California has sued the Convicted Felon
                       administration over its move to deploy troops to
                       Los Angeles. Eric Schmitt, a national security
                       correspondent for The New York Times, explains the
                       laws governing the use of American troops on U.S.
                       soil.


                # ⚓ The Straits Times ☛ Taiwan_cyber_unit_says_it_will_not_be
                  intimidated_by_China’s_bounty_offer⠀⇛


                       Guangzhou's Public Security Bureau is offering
                       rewards for the capture of what it says are Taiwan
                       military hackers.


                # ⚓ RFERL ☛ US_Reduces_Nonessential_Staff_At_Baghdad_Embassy_As
                  Tensions_With_Iran_Rise⠀⇛


                       The United States is reducing the number of people
                       deemed nonessential to operations in the Middle
                       East, the State Department announced on June 11
                       amid reports that the US Embassy in Baghdad is
                       preparing for an emergency evacuation due to
                       increased security risks in the region.


                # ⚓ France24 ☛ France_aims_to_enhance_security_for_minors_after
                  new_school_attack⠀⇛


                       The French government has pledged to ban the sale
                       of certain knives to minors following the fatal
                       stabbing of a teaching assistant by a 14-year-old
                       at a school in Nogent. Prime Minister François
                       Bayrou also announced plans to trial security gates
                       at school entrances, while Education Minister
                       Élisabeth Borne confirmed that random bag searches
                       by police are being implemented to prevent future
                       knife attacks.


                # ⚓ Landmark_cybercrime_conviction:_Former_IT_employee
                  sentenced_to_eight_years_for_fraud_and_extortion_plot⠀⇛


                       Lucky Majangandile Erasmus (36) was sentenced to
                       eight years’ imprisonment on 3 June by the
                       Specialised Commercial Crimes Court in connection
                       with a high-profile cybercrime case targeting South
                       African fintech company, Ecentric. >


                # ⚓ Defence Web ☛ Rise_in_central_Africa_violence_reported_to
                  UN_Security_Council⠀⇛


                       Violence and insecurity in the Great Lakes region
                       and the Lake Chad Basin of central Africa are on
                       the rise, the senior United Nations (UN) staffer in
                       the region warns.


                # ⚓ Advance Local Media LLC ☛ Judge_says_Trump_illegally
                  deployed_National_Guard_to_help_with_LA_protests,_must_return
                  control_to_California_-_lonestarlive.com⠀⇛


                       The order, which takes effect at noon Friday, said
                       the deployment of the Guard was illegal and both
                       violated the Tenth Amendment and exceeded Trump’s
                       statutory authority.


                # ⚓ Marcy Wheeler ☛ Ahead_of_No_Kings_Day,_the_King's_Nobles
                  are_Getting_Nervous⠀⇛


                       There have been plenty of protests across the state
                       of Missouri over the last few months, in large blue
                       cities and smaller red towns, and no reports of
                       violence against people or property. None. Nada.
                       Zip. The protests have targeted Musk and the DOGE
                       cuts, RFK Jr’s dismantling of the nation’s public
                       health infrastructure, the ICE crackdowns, and
                       more, with the number of protests growing and
                       spreading. This weekend, the planned No Kings
                       protests have been gaining more and more attention,
                       with more and more people getting more and more
                       upset about what it being done in their names.


                # ⚓ Paul Krugman ☛ This_Is_Not_a_Drill⠀⇛


                       What we’re actually seeing is much worse: An
                       attempt to end politics as we know it, to deploy
                       force to suppress dissent. Not eventually, but
                       right now.


                       On the first point: No, LA isn’t a city in chaos,
                       wracked by devastating riots requiring military
                       intervention.


                # ⚓ Marcy Wheeler ☛ Snake_Guys:_Trump's_Invasion_of_California
                  Risks_a_Literal_Firestorm_in_California_[Updated]⠀⇛


                       As laid out in California’s bid for an emergency
                       Temporary Restraining Order filed Tuesday, among
                       the problems with Trump’s federalization of the
                       California National Guard is not just that Trump
                       usurped Gavin Newsom’s authority to command the
                       Guard and incited further unrest.


                       It also steals resources that California relies on
                       to combat forest fires (and fentanyl trafficking).


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


                      # ⚓ Insight Hungary ☛ Zelensky_on_the_Ukrainian-Hungarian
                        spy_war:_'We_really_do_have_everything'⠀⇛


                             Ukrainian President Volodymyr Zelensky gave
                             an exclusive interview to Válasz Online.
                             He criticized Viktor Orbán, accusing him of
                             undermining Ukraine’s sovereignty and using
                             the war for domestic political gain. Zelensky
                             said Orbán’s stance was " anti-Ukrainian "
                             and “anti-European,” and warned that
                             Budapest’s pro-Kremlin shift was isolating
                             Hungary from its NATO and EU allies. “Hungary
                             is a member of the EU and NATO. It shouldn't
                             behave as if it hated both,” he said.


                             Zelensky suggested Orbán is spreading
                             misinformation about the war to the Hungarian
                             public, for political advantage ahead of
                             elections. “He wants to use the war in
                             Ukraine to his advantage in the elections.
                             This is dishonorable,” he said.


          o § Transparency/Investigative Reporting⠀➾


                # ⚓ The Dissenter ☛ CIA_Analyst_Sentenced_To_Prison_For
                  Releasing_Documents_On_Israel's_Plans_To_Strike_Iran⠀⇛


          o § Environment⠀➾


                # ⚓ Wired ☛ The_EPA_Wants_to_Roll_Back_Emissions_Controls_on
                  Power_Plants⠀⇛


                       “The bottom line is that the EPA is trying to get
                       out of the climate change business,” says Ryan
                       Maher, a staff attorney at the Center for
                       Biological Diversity.


                       The announcement comes just days after the National
                       Oceanic and Atmospheric Administration (NOAA)
                       quietly released record-breaking new figures
                       showing the highest seasonal concentration of CO2
                       in recorded history.


                # § Energy/Transportation⠀➾


                      # ⚓ France24 ☛ 'Protecting_our_oceans:_Behavioural_change
                        comes_from_laws_and_changing_of_the_system'⠀⇛


                             The international treaty on the high seas,
                             which focuses on conservation of maritime
                             areas beyond national jurisdictions, has
                             received sufficient support to take effect
                             early in 2026, French President Emmanuel
                             Macron said on Monday. Speaking at the third
                             United Nations Oceans Conference in Nice,
                             Macron said 55 countries' ratifications of
                             the treaty have been completed, around 15 are
                             in progress with a definite date, and another
                             15 will be completed by the end of the year,
                             meaning that the required 60 will be
                             achieved. FRANCE 24's Mark Owen welcomes
                             Merijn Tinga, activist, biologist and world-
                             renowned "Plastic Soup Surfer".


                      # ⚓ BIA Net ☛ Court_rejects_Selçuk_Bayraktar’s_‘drone’
                        lawsuit_against_earthquake_survivor⠀⇛


                             The court has dismissed the 150,000-lira
                             compensation lawsuit filed by Baykar CTO
                             Selçuk Bayraktar against a citizen who
                             criticized drone usage in the aftermath of
                             the earthquake.


                      # ⚓ Scott Feeney ☛ Consultant's_mindset,_or_why_Jarrett
                        Walker_is_wrong_about_free_buses⠀⇛


                             Walker’s case isn’t really specific to New
                             York City, where a study showed free bus
                             fares would bring 12% faster rides and 20%
                             more riders. In fact, many of Walker’s
                             arguments are so self-evidently flimsy
                             they’re hardly worth debunking point by
                             point. For example, he tells us “People will
                             demand a bus duplicating every subway line so
                             they can avoid the fare,” as if planners
                             would not simply shrug off such a demand;
                             does he think we’re governed by a
                             dictatorship of penny-pinching bus riders?
                             And did he even read the City & State NY
                             article he linked to? It cites an MTA
                             estimate that a mere “2% [to] 4% of subway
                             trips would switch to bus trips under free
                             bus service.”


                # § Wildlife/Nature⠀➾


                      # ⚓ The Revelator ☛ Love_Canal:_The_Black_Mothers_Behind
                        One_of_the_Biggest_Environmental_Fights_of_the_20th
                        Century⠀⇛


                # § Overpopulation⠀➾


                      # ⚓ New York Times ☛ U.N._Report_Says_We’re_Missing_the
                        Real_Fertility_Crisis [Ed: Study says people don't have
                        kids because the economy is not reliable for anyone,
                        including these kids]⠀⇛


                             Policymakers in many countries assume that
                             birthrates have fallen because people want
                             fewer children, but a global study says
                             financial insecurity is driving those
                             decisions.


          o § Finance⠀➾


                # ⚓ CS Monitor ☛ ‘Did_I_do_enough?’_College_grads_face_a_tough
                  job_market.⠀⇛


                       It’s not the Great Recession, but with tariffs,
                       hiring freezes, and the advent of artificial
                       intelligence, the job market has college graduates
                       wondering where they fit.


                # ⚓ Rlang ☛ Impact_of_Budget_Deficits_on_Treasury_Yields_with
                  XGBoost⠀⇛


                       Charles Schwab analysts said that historically,
                       budget deficits have had minimal impact on Treasury
                       yields, primarily due to the United States’
                       economic dominance and its status as the issuer of
                       the world’s reserve currency.


                       The variable importance analysis with the XGBoost
                       machine learning model confirms the aforementioned
                       statement.


          o § AstroTurf/Lobbying/Politics⠀➾


                # ⚓ The Strategist ☛ With_a_new_administration,_South_Korea
                  should_strengthen_security_ties_with_Australia⠀⇛


                       As South Korea’s new administration takes office,
                       the country has the opportunity to recalibrate its
                       alignments in the Indo-Pacific, especially around
                       closer defence and technology cooperation with
                       Australia.


                # ⚓ Mexico News Daily ☛ Sheinbaum_addresses_Noem’s_accusations:
                  Wednesday’s_mañanera_recapped⠀⇛


                       On Tuesday, U.S. Homeland Security Secretary Kristi
                       Noem accused President Sheinbaum of encouraging
                       "violent protests" in Los Angeles.


                # ⚓ Latvia ☛ Šlesers'_party_contests_municipal_election_results
                  in_Rīga⠀⇛


                       The chairman of the party Latvia First (LPV),
                       Ainārs Šlesers, has signed a letter to the Central
                       Election Commission (CVK), the Prosecutor General's
                       Office and the State Security Service (VDD)
                       contesting the results of the local elections in
                       Rīga and calling for them to be annulled, according
                       to party board member Līga Krapāne.


                # ⚓ Futurism ☛ CEO_Says_AI_Will_Replace_So_Many_Jobs_That_It’ll
                  Cause_a_Major_Recession⠀⇛


                       Speaking to The Times Tech podcast, the Sweden-
                       based CEO Sebastian Siemiatkowski admitted that
                       adoption of the technology will result in
                       "implication[s] for white-collar jobs" that
                       include, but are not limited to, "at least a
                       recession in the short term."


                # ⚓ Jérôme Marin ☛ Mistral_AI's_new_ambitions⠀⇛


                       Mistral AI no longer sees itself merely as a
                       European alternative to OpenAI, Anthropic, or
                       DeepSeek. The French startup specializing in
                       generative artificial intelligence also dreams of
                       becoming a competitor to Amazon Web Services,
                       Microsoft Azure, and Google Cloud. On Wednesday, it
                       announced the launch of its own cloud computing
                       platform.


                # ⚓ Jason Becker ☛ MAGA:_moving_from_participatory_communities
                  to_mass_consumption⠀⇛


                       The mission of MAGA is to do to all our
                       institutions what occurred in the American church.
                       We are replacing doctors and public health experts
                       with the equivalent of televangelist and megachurch
                       prosperity gospel drifters. And we are doing the
                       same with education, environmental regulation,
                       communications, trade, securities, social security,
                       internal revenue, etc. It’s what we’ve done to
                       school board elections, city councils, and every
                       part of local democracy as well.


                # § Misinformation/Disinformation/Propaganda⠀➾


                      # ⚓ [Old] ABC ☛ Social_media_trolls_use_astroturfing_to
                        create_unlevel_playing_field_for_council_elections⠀⇛


                             "They might be trying to set up fake
                             accounts, and then steer those accounts to
                             make it look like there are genuine
                             grassroots community concerns about
                             particular issues, when in fact they're
                             pulling the strings from behind," said QUT
                             associate professor Daniel Angus.


                             While social media offers people a way to
                             discuss hyperlocal issues that do not
                             necessarily make the headlines, efforts to
                             curtail the spread of misinformation and
                             personal attacks have been experimental at
                             best.


                      # ⚓ [Old] Digital Archive of the University of Jyväskylä
                        ☛ Astroturfing_as_a_Global_Phenomenon⠀⇛


                             This study is a literature review about a
                             global phenomenon called astroturfing. There
                             has been a lack of academic research
                             concerning astroturfing. This study is
                             conducted in order to give a basis for future
                             research on the subject. The purpose of this
                             study was to find out, what kind of
                             phenomenon astroturfing is and how it has
                             evolved in the course of time. The study also
                             focuses on the criticism and concerns that
                             astroturfing has raised. The theoretical part
                             of this study provides basic information
                             about astroturfing. It introduces various
                             definitions to the term and provides an
                             overview of cases concerning the subject.
                             Also, special terminology related to the
                             subject is introduced and astroturfing
                             detection practices are presented. The method
                             of this study is a literature review. A total
                             of 58 articles were thoroughly examined and
                             15 of them were selected for the analysis.
                             The analysis was completed as follows:
                             finding the most relevant information
                             concerning astroturfing about each article,
                             with keeping the focus on the research
                             questions. The results indicate that
                             astroturfing is a global phenomenon with
                             concerning nature, thus, it needs to be taken
                             seriously. Astroturfing poses a threat to the
                             credibility and reliability of organizations.
                             It also deals with business ethics and it is
                             considered as deceptive. Astroturfing was
                             practiced earlier more on the political
                             arena. Nowadays it is practiced commonly in
                             online environment, and it has caused a
                             negative effect on the online community as a
                             whole. The latest research has been
                             concentrating on astroturfing detection
                             techniques. However, no single method has yet
                             been discovered to resolve the issue.


                      # ⚓ [Old] The Atlantic ☛ Anne_Applebaum:_Social_Media
                        Made_Spreading_Disinformation_Easy⠀⇛


                             Applebaum: Russia’s been trying to do that
                             for two decades. The point of Russian
                             propaganda inside Ukraine was to create and
                             amplify these divisions, whether they were
                             over language or whether they were over
                             interpretations of history and different ways
                             of seeing the world. That has been their
                             modus operandi there. And one of the effects
                             of 2014 and the last two Ukrainian
                             presidencies has really been to bring a lot
                             of that to an end. And I think their invasion
                             now is partly a recognition that the
                             information war failed in Ukraine, and
                             Ukraine was, partly thanks to them, unifying
                             and rebuilding its state and rebuilding its
                             army. It was not so easy to divide using
                             slander and political games as it had been
                             before.


                      # ⚓ [Old] The Washington Post ☛ Musk_admits_X_throttles
                        links_as_“news_influencers”_take_over⠀⇛


                             Musk was replying to a post by the
                             influential Silicon Valley investor Paul
                             Graham, who opined on Sunday that “the
                             deprioritization of tweets with links in them
                             is Twitter’s biggest flaw.” X’s main draw,
                             Graham said, is “to find out what’s going on,
                             and you can’t do that without links.”


                             Musk’s response implied Graham was right that
                             X’s algorithm downgrades link posts.


                      # ⚓ [Old] Natalyie Baldwin ☛ April_|_2017_|_Natylie's
                        Place:_Understanding_Russia⠀⇛


                             In addition to the use of astroturf groups,
                             PR firms often provide a range of services
                             with the goal of using various tools in the
                             art of deception to protect and/or further
                             the interests of their corporate clients.
                             These include advising clients how to evade
                             substantive interaction with the public and
                             questioning by journalists or activists, and
                             how to mislead based on the avoidance of
                             words that the public reacts unfavorably to –
                             in other words, obfuscating to the point of
                             rendering the truth irrelevant. Some firms
                             even conduct spying operations on genuine
                             public interest groups and advocates with the
                             goal of blackmailing them or attacking their
                             credibility.


                             But one shouldn’t underestimate the mileage
                             PR firms get out of more mundane methods,
                             such as inundating media outlets with press
                             releases that portray their corporate clients
                             in the best possible light. Instead of being
                             treated with sufficient skepticism, corporate
                             and PR press releases are often used as the
                             basis of articles and reports as newsrooms
                             cut back their staff and budget for
                             investigative reporting. As a 2014 survey by
                             Business Wire revealed, the vast majority of
                             journalists rely on press releases to provide
                             them with breaking news (77%) and factual
                             support for articles (70%).


                             There is even a term now for this kind of
                             press release-based reporting, “churnalism.”
                             In fact, it was recognized as a serious
                             enough problem by the Media Standards Trust
                             to motivate the creation of a website,
                             churnalism.com, which provides a “churn
                             engine” that viewers can paste press releases
                             into and find articles in the database that
                             quote directly from or heavily rely upon
                             “reproduced publicity material,” receiving a
                             high score on the churnalism meter.


          o § Censorship/Free Speech⠀➾


                # ⚓ The Straits Times ☛ Hong_Kong_bans_video_game_in_further
                  national_security_push⠀⇛


                       The move against the app marked the first known use
                       of the national security law to block a video game.


                # ⚓ TruthOut ☛ Senator_Padilla_Forcibly_Removed_From_Kristi
                  Noem_Press_Conference_Touting_ICE_Crackdown⠀⇛


                       “If this is how this administration responds to a
                       senator with a question, if this is how the
                       Department of Homeland Security responds to a
                       senator with a question, you can only imagine what
                       they’re doing to farmworkers, to cooks, to day
                       laborers out in the Los Angeles community and
                       throughout California and throughout the country,”
                       he said. “We will hold this administration
                       accountable.”


                # ⚓ Wired ☛ How_to_Protest_Safely_in_the_Age_of_Surveillance⠀⇛


                       Two key elements of digital surveillance should be
                       top of mind for protestors. One is the data that
                       authorities could potentially obtain from your
                       phone if you are detained, arrested, or they
                       confiscate your device. The other is surveillance
                       of all the identifying and revealing information
                       that you produce when you attend a protest, which
                       can include wireless interception of text messages
                       and more, and tracking tools like license plate
                       scanners and face recognition. You should be
                       mindful of both.


                # ⚓ Harvard University ☛ 12,000_Harvard_Alumni_Submit_Amicus
                  Brief_Backing_Harvard_in_Federal_Funding_Lawsuit⠀⇛


                       “The Government’s end goal is to narrow our
                       freedoms to learn, teach, think, and act, and to
                       claim for itself the right to dictate who may enjoy
                       those freedoms,” the alumni wrote.


                       The filing supports Harvard’s May 30 motion for
                       summary judgment, which seeks to resolve the case
                       without a trial.


                       The 12,041 signatories span the Classes of 1950
                       through 2025 and represent all 12 of Harvard’s
                       schools. Among them are late-night host Conan C.
                       O’Brien ’85, novelist Margaret E. Atwood, and
                       Massachusetts Governor Maura T. Healey ’92. Other
                       signatories — a broad cross-section of alumni from
                       across the country and the world — include media
                       executives, economists, lawyers, and health
                       ministers.


                # ⚓ Harvard University ☛ 18_Universities_Seek_To_Back_Harvard
                  in_Federal_Funding_Lawsuit⠀⇛


                       The universities contested the brief would provide
                       a “broader perspective” on the nationwide impact of
                       the freeze, which has already affected several
                       institutions beyond Harvard. Many signatories have
                       seen their own federal funding come under scrutiny
                       in recent months — whether singled out for punitive
                       treatment or simply impacted by the Trump
                       administration’s sweeping effort to root out grants
                       for projects that might clash with its agenda.


                       The judge overseeing Harvard’s case agreed on
                       Friday to allow the amicus brief, but the
                       universities have not yet submitted it. According
                       to the filing, the Trump administration did not
                       oppose the request, and Harvard consented to it.


                # ⚓ Rolling Stone ☛ Joan_Baez_on_Trump,_Protests,_Lana_Del_Rey,
                  and_'A_Complete_Unknown'⠀⇛


                       One of the concerns now is that any protests could
                       lead Trump to send in the military, resulting in a
                       declaration of martial law. He’s dying to have
                       something. Nothing could make it easier for them,
                       because we can’t compete. Anybody who seriously
                       thinks they can make social change with violence is
                       really innocent. No, you get squashed. [Editor’s
                       note: This interview was conducted prior to the
                       ongoing L.A. protests.]


                # ⚓ The Independent UK ☛ Fort_Bragg_soldiers_behind_Trump
                  during_speech_were_screened_for_loyalty_and_appearance,
                  report_says:_‘No_fat_soldiers’⠀⇛


                       "If soldiers have political views that are in
                       opposition to the current administration and they
                       don't want to be in the audience then they need to
                       speak with their leadership and get swapped out,"
                       one note to troops obtained by the outlet said.


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


                # ⚓ Scoop News Group ☛ Paragon_spyware_found_on_the_phones_of
                  Euro_journos⠀⇛


                       University of Toronto’s Citizen Lab published a
                       report on its findings, which confirmed spyware on
                       the phone of an Italian journalist named Ciro
                       Pellegrino, following a prior alert about the phone
                       of Francesco Cancellato, both of whom work for
                       Italian investigative outlet Fanpage. Citizen Lab
                       also confirmed spyware on the phone of another
                       unnamed European journalist.


                       Paragon, like leading spyware maker NSO Group, is
                       an Israeli company.


                # ⚓ Security Week ☛ Surge_in_Cyberattacks_Targeting
                  Journalists:_Cloudflare⠀⇛


                       The number of malicious requests targeting
                       organizations receiving free security services
                       through Cloudflare’s Project Galileo has more than
                       tripled over the past year, the web security and
                       performance company says.


                # ⚓ Citizen Lab ☛ Graphite_Caught:_First_Forensic_Confirmation
                  of_Paragon’s_iOS_Mercenary_Spyware_Finds_Journalists
                  Targeted⠀⇛


                       On April 29, 2025, a select group of iOS users were
                       notified by Apple that they were targeted with
                       advanced spyware. Among the group were two
                       journalists that consented for the technical
                       analysis of their cases. The key findings from our
                       forensic analysis of their devices are summarized
                       below: [...]


                # ⚓ The Record ☛ Paragon_spyware_activity_found_on_more
                  journalists’_devices⠀⇛


                       The latest targets are a “prominent” European
                       journalist who wishes to stay anonymous and Ciro
                       Pellegrino, a colleague of a previously identified
                       Paragon spyware target, Francesco Cancellato, the
                       Citizen Lab said.


          o § Civil Rights/Policing⠀➾


                # ⚓ The Atlantic ☛ Why_Won’t_the_Pentagon_Own_Up_to_Trump’s
                  Latest_Move?⠀⇛


                       Reverting is an insult to the families of those
                       people whose names were added and then removed. But
                       refusing to own up to the goal here is a laughable
                       equivocation from guys who like to talk about how
                       strong they are. Trump clearly wants to bring back
                       the Confederate names. Why won’t the Pentagon go
                       along with it, or why can’t officials admit it?
                       Isn’t this the “wokeness and weakness” that Hegseth
                       has promised to eliminate?


                # ⚓ Michael Geist ☛ Government_Remains_Silent_as_it_Eviscerates
                  Political_Party_Privacy_in_Canada_By_Fast_Tracking_Bill_C-4⠀⇛


                       Members of Parliament regularly emphasized that
                       privacy is a fundamental human right when debating
                       Bill C-27 during the last Parliament, calling for
                       an explicit provision to that effect in the bill.
                       Yet apparently those human rights stop when it
                       comes to political parties and their use of
                       personal information. Not only is the government
                       burying anti-privacy provisions in the bill, but
                       government ministers and MPs have avoided any
                       debate on the issue. Minister François Philippe
                       Champagne did not mention the provisions in his
                       comments on the bill and no Liberal MP has dared
                       raise it in the House of Commons.


                # ⚓ TruthOut ☛ Senate_GOP_Legislation_“Is_Just_Open_Season_on
                  Public_Lands,”_Critics_Warn⠀⇛


                       The measure directs the Bureau of Land Management
                       (BLM) to “dispose of 0.5-0.75% of certain BLM land
                       and the Forest Service to dispose of 0.5-0.75% of
                       certain National Forest System Land,” and would
                       give Trump administration officials wide latitude
                       to determine whether public land sell-offs would
                       “address local housing needs (including housing
                       supply and affordability) or any associated
                       community needs.”


                # ⚓ Wired ☛ Social_Media_Is_Now_a_DIY_Alert_System_for_ICE
                  Raids⠀⇛


                       This figure is based on collaborative reports
                       compiled by the Rapid Response Network, an alliance
                       comprised of dozens of organizations that provide
                       support to migrants and disseminate information
                       about immigration detentions and operations.


                # ⚓ RFERL ☛ Iran_Widens_Dog_Walking_Ban,_Targeting_Pet_Owners
                  Across_The_Country⠀⇛


                       The move builds on a 2019 police directive that
                       first prohibited dog walking in Tehran and now
                       encompasses bans on transporting dogs in vehicles
                       and, in some cases, the closure of pet shops and
                       unauthorized veterinary clinics.


          o § Internet Policy/Net Neutrality⠀➾


                # ⚓ Internet Society ☛ No_Research,_No_Internet⠀⇛


                       The 2025 Network and Distributed Systems Security
                       (NDSS) Symposium showcased cutting-edge research
                       from across industry and academia.


          o § Digital Restrictions (DRM)⠀➾


                # ⚓ [Old] The Verge ☛ John_Deere_turned_tractors_into_computers
                  —_what’s_next?⠀⇛


                       And because these things are all computers, these
                       manufacturers can also control the software to lock
                       out parts from other suppliers. But it’s a huge
                       deal in the context of farming equipment, which is
                       still extremely mechanical, often located far away
                       from service providers and not so easy to move, and
                       which farmers have been repairing themselves for
                       decades. In fact, right now the prices of older,
                       pre-computerized tractors are skyrocketing because
                       they’re easier to repair.


      § Monopolies/Monopsonies⠀➾


          o § Patents⠀➾


                # ⚓ Kluwer Patent Blog ☛ Between_labs_and_algorithms:_can
                  patent_monopoly_law’s_research_exemption_learn_something_from
                  the_TDM_exception_in_copyright_monopoly_law?⠀⇛


                       This year, at the Annual Fordham IP [sic] Law &
                       Policy Conference, we heard Lord Justice Birss
                       reflect on how we are living through a
                       transformative era in intellectual [sic] property
                       (IP) [sic] law.


          o § Copyrights⠀➾


                # ⚓ Futurism ☛ "Piracy_Is_Piracy":_Disney_Sues_Midjourney_for
                  Massive_Copyright_Violation⠀⇛


                       And it's not just the use of image generators;
                       generative AI writ large has triggered a barrage of
                       lawsuits, with media companies accusing the likes
                       of OpenAI and Google of training their large
                       language models on their materials without fair
                       compensation.


                # ⚓ Pivot to AI ☛ Disney_sues_AI_image_generator_Midjourney⠀⇛


                       Midjourney also spat out images that were really
                       obviously taken straight from its training data,
                       like stills from Avengers Infinity War.


                       Disney and Universal first contacted Midjourney
                       about this a year ago.


                       Disney know how generative AI works. The Disney
                       content can’t be removed from Midjourney without
                       retraining it from scratch.


                # ⚓ Wired ☛ Disney_and_Universal_Sue_AI_Company_Midjourney_for
                  Copyright_Infringement⠀⇛


                       “This is an extremely significant development,”
                       says IP lawyer Chad Hummel, who sees the
                       compilation of images in the complaint as
                       compelling evidence that “the output is not
                       sufficiently transformative.” Most AI companies
                       facing lawsuits have argued that they are protected
                       by the “fair use” doctrine, which allows for use of
                       copyrighted works in certain circumstances; one of
                       the main questions the courts ask is whether new
                       work is “transformative,” or adds a new meaning or
                       message, when they make the fair use determination.


                # ⚓ Torrent Freak ☛ European_ISPs_Complain_About
                  'Disproportionate'_Pirate_Site_Blocking⠀⇛


                       Internet providers are increasingly tasked in the
                       role of anti-piracy enforcers and instructed to
                       block pirate websites and services. In Europe,
                       court-ordered blockades are now commonplace, but
                       ISPs are cautious when it comes to further
                       expansion. In a recent submission to the EU
                       Commission, EuroISPA, which represents over 3,300
                       ISPs, complains about "disproportionate" blocking
                       measures, as recently seen in Italy, Spain and
                       elsewhere.


    * X11_is_Free_Software
    * Links_13/06/2025:_Journalists_Targeted_by_Cracking,_China-Japan_and
      Israel-Iran_Tensions_Grow


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