𝕿𝖊𝖈𝖍𝖗𝖎𝖌𝖍𝖙𝖘 Bulletin for Friday, January 03, 2025
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Generated Sat 4 Jan 02:49:19 GMT 2025
Created by Dr. Roy Schestowitz (𝚛𝚘𝚢 (at) 𝚜𝚌𝚑𝚎𝚜𝚝𝚘𝚠𝚒𝚝𝚣 (dot) 𝚌𝚘𝚖)
Full hyperlinks for navigation omitted but are fully available in the originals
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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/2025/01/03/


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

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

⦿ Techrights  -  A Golden Opportunity that Canonical and IBM Intentionally Ignore (in Order to Appease Microsoft)

⦿ Techrights  -  Apple 'Articles' That Aren't... Just SPAM From Beta'News', Generated by LLMs

⦿ Techrights  -  A Salad of Microsoft FUD Against Linux, Published by LinuxSecurity.com Using LLM Slop/Copypasta

⦿ Techrights  -  Canada: Windows at All-Time Lows, ChromeOS and GNU/Linux Rise to Almost 8%

⦿ Techrights  -  Engineering Things to Last 70 Years in an 8-Bit, 16-Bit, and 32-Bit World

⦿ Techrights  -  GNU/Linux Rose to 5% in Belgium (It Was 1.66% Last January)

⦿ Techrights  -  In Hong Kong and Taiwan People Flock to GNU/Linux (Unlike Windows, GNU/Linux Doesn't Capture Screenshots of Everything You Do and Add Back Doors to Encryption)

⦿ Techrights  -  In Mexico, Windows Down to All-Time Low, GNU/Linux Up to All-Time High

⦿ Techrights  -  IRC Proceedings: Thursday, January 02, 2025

⦿ Techrights  -  Jeff Bezos (Washington Post) Spreads Political Propaganda Against the Internet (and the Web)

⦿ Techrights  -  [Meme] Be a Good and Obedient Citizen. Use Microsoft Windows.

⦿ Techrights  -  [Meme] Crushing Free Speech Before Even Taking Public Office...

⦿ Techrights  -  [Memes] Two Dictators. Donald Trump Loves TikTok.

⦿ Techrights  -  Over at Tux Machines...

⦿ Techrights  -  Slow News, But Not Slow for Us

⦿ Techrights  -  The Free Software Foundation Extends Cutoff Date (Two More Weeks), Raises About 330,000 Dollars

 ䷼ Bulletin articles (as HTML) to comment on (requires login):
https://techrights.org/n/2025/01/03/A_Golden_Opportunity_that_Canonical_and_IBM_Intentionally_Ignor.shtml
https://techrights.org/n/2025/01/03/Apple_Articles_That_Aren_t_Just_SPAM_From_Beta_News_Generated_b.shtml
https://techrights.org/n/2025/01/03/A_Salad_of_Microsoft_FUD_Against_Linux_Published_by_LinuxSecuri.shtml
https://techrights.org/n/2025/01/03/Canada_Windows_at_All_Time_Lows_ChromeOS_and_GNU_Linux_Rise_to_.shtml
https://techrights.org/n/2025/01/03/Engineering_Things_to_Last_70_Years_in_an_8_Bit_16_Bit_and_32_B.shtml
https://techrights.org/n/2025/01/03/GNU_Linux_Rose_to_5_in_Belgium_It_Was_1_66_Last_January.shtml
https://techrights.org/n/2025/01/03/In_Hong_Kong_and_Taiwan_People_Flock_to_GNU_Linux_Unlike_Window.shtml
https://techrights.org/n/2025/01/03/In_Mexico_Windows_Down_to_All_Time_Low_GNU_Linux_Up_to_All_Time.shtml
https://techrights.org/n/2025/01/03/IRC_Proceedings_Thursday_January_02_2025.shtml
https://techrights.org/n/2025/01/03/Jeff_Bezos_Washington_Post_Spreads_Political_Propaganda_Against.shtml
https://techrights.org/n/2025/01/03/Meme_Be_a_Good_and_Obedient_Citizen_Use_Microsoft_Windows.shtml
https://techrights.org/n/2025/01/03/Meme_Crushing_Free_Speech_Before_Even_Taking_Public_Office.shtml
https://techrights.org/n/2025/01/03/Memes_Two_Dictators_Donald_Trump_Loves_TikTok.shtml
https://techrights.org/n/2025/01/03/Over_at_Tux_Machines.shtml
https://techrights.org/n/2025/01/03/Slow_News_But_Not_Slow_for_Us.shtml
https://techrights.org/n/2025/01/03/The_Free_Software_Foundation_Extends_Cutoff_Date_Two_More_Weeks.shtml

 ䷞ Followed by Daily Links (assorted news picks curated and categorised):
https://techrights.org/n/2025/01/03/Gemini_Links_03_01_2025_GNU_Emacs_Key_Bindings_in_GNU_Midnight_.shtml
https://techrights.org/n/2025/01/03/Links_03_01_2025_Neil_Young_Drops_Out_of_Glastonbury_and_MElon_.shtml

                    ䷩ 𝚕𝚒𝚗𝚎 93

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/01/03/A_Golden_Opportunity_that_Canonical_and_IBM_Intentionally_Ignor.shtml
    Gemini version at https://techrights.org/n/2025/01/03/A_Golden_Opportunity_that_Canonical_and_IBM_Intentionally_Ignor.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ A Golden Opportunity that Canonical and IBM
Intentionally Ignore (in Order to Appease
Microsoft)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jan 03, 2025,
updated Jan 03, 2025


Older: IBM_and_Canonical_Leave_Money_on_the_Table_Because_Microsoft_Pays_Them
Not_to_Compete_and_Instead_Market_Windows,_WSL,_Microsoft_'Clown_Computing',
and_TPMs | Free_Software_Community/Volunteers_Aren't_Circus_Animals_of_GAFAM,
IBM,_Canonical_and_So_On...


Hours ago:


   🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇With_10_months_of_support_remaining,_Windows_10_still
                                  dominates⦈_


A day after we published this_article The Register noted the same, citing the
same source (statCounter). It said: "Microsoft's 2025 is off to a bad start
amid statistics that show users are still giving Windows 11 a wide berth as
Windows 10 continues to dominate the desktop operating system market."


As an associate has just put it: "The major distros need (MUST) begin
approaching the OEMs to break the Microsoft monopoly on OEMs."


Well, Microsoft resellers like Canonical won't do that. They're too dependent
on Microsoft "sweeteners" - to the point of promoting_Microsoft.


Where are the competition authorities and regulators? Also bribed/infiltrated
by Microsoft [1, 2, 3]? Even_the_courts? █




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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣴⣧⣤⣴⣴⣴⣶⣧⣼⣵⣬⣭⣵⣿⣥⣧⣤⣾⣧⣾⣷⣽⣤⣤⣤⣧⣤⣤⣴⣯⣤⣶⣿⣾⣷⣬⣤⣯⣦⣤⣤⣼⣤⣤⣤⣧⣤⣦⣴⣤⣧⣤⣤⣤⣤⣧⣬⣧⣼⣦⣾⣿⣀⣤⣤⣤⣀⣷⣮⣧⣧⣾⣤⣭⣴⣿⣿
⣿⠩⢿⠋⣯⡙⠉⠉⢹⠩⡋⣯⢭⣿⠙⠙⡟⡝⡍⡝⢝⢍⡙⠉⡯⠏⢽⠫⠩⢩⡍⢩⠹⡋⡋⣯⡫⣿⢝⢽⡍⢻⣽⠹⠍⢻⠉⠉⢹⡫⡋⠏⠉⠙⠍⢽⡫⡫⡋⣫⠉⠉⠉⠉⡏⠙⡉⠋⠙⡍⢹⣿⣿⣿⣿⣿⣿⣿
⣿⠿⡿⡿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣭⣗⣝⣷⣠⣠⣇⣀⣸⣟⣤⣠⣂⣀⣀⣐⣄⣵⣏⣚⣄⣢⣸⣀⣕⣵⣾⣟⣀⣠⣠⣢⣠⣃⣶⣄⣵⣯⣽⣀⣀⣠⣀⣇⣢⣠⣂⣤⣳⣠⣸⣠⣼⣕⣰⣪⣨⣢⣾⣷⣀⣨⣀⣤⣇⣰⣀⣀⣄⣇⣿⣿⣿⣿⣿⣿⣿
⣿⠿⠛⠛⠟⢛⡿⠟⠻⠛⡟⠛⠋⠛⠛⠛⣿⢿⡟⠛⠛⡟⠻⢛⠛⠛⠉⠋⠛⠛⡏⠻⣿⢟⠿⠻⢻⣿⠻⠛⠟⠟⢿⣿⡟⠛⠛⠋⠙⣿⣿⡝⠉⢙⠛⠙⠛⢛⠻⡯⠯⢹⢻⣿⣿⠻⡋⠛⠋⡟⢛⠛⠛⠛⣿⣿⣿⣿
⣿⢿⢿⢿⡾⢿⠿⢿⢿⢿⣿⡿⣿⠿⣿⠿⠿⡿⢿⠿⡿⡿⢿⢿⢿⢿⢿⢿⠿⡶⠿⠿⡿⡿⡿⠿⣿⠿⡿⣿⠿⢿⠿⡿⡿⢿⡿⡿⠿⡿⡿⠿⢿⣿⡿⢿⢿⢿⠿⡿⡿⡿⠿⣿⡿⢿⡿⡿⠿⢿⠿⠿⠿⢿⢿⣿⣿⣿
⣿⣿⣬⣼⣧⣷⣥⣷⣴⣽⣯⣬⣾⣭⣼⣤⣥⣽⣿⣬⣦⣿⣵⣼⣿⣽⣭⣵⣿⣤⣤⣤⣦⣮⣿⣭⣾⣽⣤⣼⣤⣴⣴⣤⣬⣤⣤⣧⣼⣮⣾⣯⣿⣧⣤⣧⣤⣼⣶⣼⣼⣮⣬⣤⣴⣼⣧⣥⣧⣼⣤⣤⣤⣤⣼⣿⣿⣿
⣯⣩⣇⣇⣉⣉⣅⣹⣈⣹⣣⣃⣿⣸⣺⣏⣩⣉⣉⣉⣩⣹⡷⣬⣉⣉⣹⣂⣁⣏⣚⣸⣯⣩⣯⣉⣉⣍⣸⣨⣹⣈⣩⣙⣍⣩⣍⣈⣉⣹⣷⣷⣗⣏⡋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⢟⢛⡛⡟⠙⠛⢻⢛⣟⣟⠟⠋⡛⡋⠛⠛⡛⢻⣻⢻⡛⡟⡻⡻⣛⢟⣟⣛⠛⡛⢛⡟⡋⡟⢙⢛⣿⡛⢛⣿⡛⣟⠛⠉⣿⡛⢟⣟⠛⣛⡟⢙⠟⣟⣿⣻⡛⠟⢛⢻⠋⡋⡛⡟⢙⠛⢛⡏⠛⡛⢻⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢿⣿⣿⣿⣶⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⠶⠿⡿⢿⢿⣿⣿⣿⣿⣿⣿⠿⣿⠿⣿⣿⣿⣷⣷⣾⣿⣿⣿⣿⣿⣿⣿⠿⡿⢿⢿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿
⣗⣤⣤⣤⣿⣣⣶⣿⣤⣦⣧⣼⣥⣭⣵⣵⣥⣧⣥⣴⣇⣤⣤⣡⣱⣴⣽⣿⣽⣤⣽⣥⣤⣥⣤⣼⣨⣤⣾⣥⣴⣧⣥⣽⣤⣧⣼⣯⣬⣽⣿⣽⣦⣿⣧⣤⣤⣿⣭⣧⣼⣤⣽⣬⣽⣿⣼⣬⣦⣤⣦⣼⣧⣿⣿⣿⣿⣿
⣿⣽⢙⠹⣽⠉⢹⠉⣙⠉⢩⡋⢟⠉⡍⢽⡝⣉⢩⠩⠩⠉⣉⢹⡯⠯⣹⠉⠉⢉⣹⠉⠉⠉⢩⣽⡏⡫⣫⣝⢙⣏⣻⡫⣯⢝⢙⢝⡍⡏⠉⠍⠉⡽⠉⠙⡍⡋⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 177

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/01/03/Apple_Articles_That_Aren_t_Just_SPAM_From_Beta_News_Generated_b.shtml
    Gemini version at https://techrights.org/n/2025/01/03/Apple_Articles_That_Aren_t_Just_SPAM_From_Beta_News_Generated_b.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Apple 'Articles' That Aren't... Just SPAM
From Beta'News', Generated by LLMs⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jan 03, 2025


A 'news' sites reduced to garbage crafted by bots


Here's the latest:


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


Both are deemed 100% LLM slop:


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


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Apple_Fitness+_has_expanded_its_offerings_for_2025_with_new
fitness_and_mindfulness_programs,_including_strength_training,_yoga_workshops,
  pickleball_conditioning,_and_breath_meditation._The_service_also_features_a
   collaboration_with_Strava,_enhancing_how_users_can_share_and_track_their
                                  workouts.⦈_


Crap like this is dooming the Web and killing journalism (slop versus humans).
The above 'articles' enter Google News, but they're not news and not articles.
They're just spam created by bots. █


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




⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤
⣿⣿⣿⠩⡋⣹⡯⢽⠭⣿⡹⠙⠛⢻⣟⣻⣟⠋⣏⠏⠛⡟⠛⠟⡟⠙⢻⠋⠟⠛⣿⢿⠻⡟⠛⢻⠋⠛⡟⢛⡟⠛⣿⠟⠛⢻⠟⣟⠛⢹⣟⡛⠛⡟⠛⣟⡟⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⠿⢿⡿⢻⢿⢿⢿⠻⣿⡿⠿⠻⢿⣿⣿⣿⣿⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣶⠚⠒⢾⣾⠾⣶⣶⡾⣷⣶⢶⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡇⠀⠀⢸⣿⣲⠺⣾⢶⠶⢿⣶⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣛⣛⣻⣿⣿⡿⣿⣛⣻⣝⣻⣟⣟⣻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣫⣯⣝⣙⣯⣙⣹⣉⣉⣏⣫⣉⣹⣉⣹⣻⣉⣯⣭⣽⣝⣹⣩⣉⣏⣏⣯⣏⣏⣏⣹⣉⣉⣍⣉⣭⣏⣹⣉⣩⣉⣉⣩⣉⣹⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣫⣭⣏⣯⣭⣯⣽⣩⣩⣭⣭⣯⣍⣯⣯⣭⣏⣭⣭⣍⣏⣿⣝⣽⣍⣏⣟⣭⣙⣏⣽⣭⣹⣽⣭⣭⣯⣭⣿⣽⣝⣭⣽⣝⣽⣏⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣭⣽⣽⣿⣯⣭⣜⣽⣽⣿⣯⣭⣭⣧⣽⣯⣽⣽⣿⣭⣭⣯⣿⣯⣽⣤⣭⣿⣽⣭⣯⣝⣿⣥⣍⣿⣽⣭⣯⣿⣽⣯⣽⣭⣽⣼⣿⡇⠀⠀⠀⠀⠀⠀⢠⣤⣤⡄⠀⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣦⡭⣭⣼⣤⣧⣴⣥⣭⣼⣬⡥⣬⣥⣽⣮⣵⣷⣭⣾⡼⣧⣬⣥⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⡿⢿⠀⣾⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⢛⠱⠹⠿⠛⡋⠻⢟⢛⡙⠻⡇⠿⢛⠙⢿⡻⠟⢋⣻⠇⡟⠛⢙⢻⠛⠛⡙⠿⠟⠸⠛⣙⢻⠛⣋⠻⠿⡋⠛⣿⠛⠙⠛⣙⢻⣿⣿⡿⠿⠿⢟⠓⠉⠀⠻⠿⠿⠃⢨⠭⠭⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⢃⡄⠤⢹⠐⠿⠃⣾⠘⠟⢸⠃⣇⠰⠖⢾⠻⠷⠶⠹⡇⠿⠸⠿⠘⡇⠻⠟⡸⢑⡿⠷⠢⢹⠘⠿⠃⡏⠶⠆⢾⢸⣿⠸⠟⠸⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⢻⠛⠻⢻⠘⠻⠛⠛⢘⢻⢻⢛⢛⡛⠛⡟⠛⠛⠻⠛⠟⡟⠟⡛⠛⢂⢛⡛⠛⠻⠛⢻⠛⢳⡘⡟⠻⢛⢻⠻⠛⡟⠛⡛⢟⠛⡟⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣛⢛⡛⠛⠛⡛⡟⡛⠛⡛⠛⢻⢛⣿⠛⠟⣟⣻⢻⣛⡛⡛⣟⢛⠛⢻⢛⣟⡛⡛⠛⠻⠛⡟⠛⢛⠛⣛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣬⣤⣿⣭⣭⣽⣯⣬⣼⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣁⣏⡉⣹⣿⣿⣠⣈⣯⣉⣉⣉⣹⣹⣏⣉⣽⣻⣉⣀⣉⣿⣽⣩⣫⣽⣀⣽⣍⣉⣉⣿⣿⣉⣹⣍⠉⣯⣉⣉⣽⣿⣏⣉⣉⣽⣇⣨⣯⣉⣝⣿⣿⣏⣩⣟⡏⢉⣯⣃⣈⣹⣍⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡟⠁⠀⢹⣿⣉⣻⣝⣛⣛⣏⣛⣛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⠃⠀⠀⠘⣿⣼⣬⣿⣭⣯⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⣼⣾⣿⣿⣭⣿⣭⣼⣽⣴⣦⣾⣴⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⢿⣿⢿⡿⡿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⡿⡿⢿⢿⡿⢿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⠶⢾⠶⠷⠶⣷⡶⠾⡷⡶⡾⡾⣾⠶⠷⠶⡿⢾⠷⢾⢶⠾⠶⠾⠶⢷⡿⠾⡾⠶⣾⢿⠶⠾⠶⠶⡶⡿⠶⡷⡷⠷⠷⣿⢶⠶⣶⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⠶⢶⢾⢶⠷⠾⡷⠶⠶⢾⡶⠷⠾⠾⠶⠶⠷⡶⠷⢷⠾⠿⠶⠶⢿⢶⠷⠾⠶⠶⠿⠶⠶⣶⡶⢶⠷⢶⢷⢷⡶⠷⠷⡿⠶⠶⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡶⠾⠠⠸⠷⠲⡓⠲⡗⢛⠓⢶⠆⢶⢟⠓⠷⡷⡶⠚⡓⠆⡶⠗⢚⠺⡖⢗⡒⢷⣷⢠⡞⣓⣺⡟⢒⡚⣶⣒⣓⢷⡗⣚⠲⣛⡺⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⢃⣭⣄⢿⠸⣿⢇⡇⠸⡿⢸⡇⣯⠨⣭⢼⣿⡷⣬⠙⡇⣿⠸⣿⢇⡇⠸⡿⢸⢇⣾⡷⣬⢹⡇⢿⠇⣿⢩⡭⢸⡇⣿⡇⣿⡇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣝⣈⣩⣉⣎⣈⣖⣩⣁⣀⣄⣏⣇⣍⣷⣶⣭⣉⣱⣄⣬⣡⣹⣭⣄⣉⣁⣀⣴⣉⣌⣭⣡⣴⣏⣅⣱⣎⣭⣣⣌⣈⣥⣿⣷⣿⣷⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣯⣯⣭⣬⣽⣽⣭⣽⣽⣭⣯⣿⣭⣟⣭⣭⣥⣽⣽⣬⣧⣽⣭⣹⣭⣭⣿⣭⣼⣭⣼⣼⣩⣭⣭⣭⣭⣿⣤⣭⣿⣭⣍⣯⣽⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣭⣯⣿⣭⣽⣯⣯⣹⣭⣯⣭⣽⣯⣭⣯⣭⣿⣿⣿⣽⣭⣿⣭⣿⣭⣯⣼⣭⣯⣭⣿⣟⣽⣭⣭⣿⣩⣯⣭⣽⣭⣯⣿⣭⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣾⣧⣶⣬⣯⣾⣭⣤⣥⣬⣷⣷⣭⣵⣬⣥⣬⣵⣬⣼⣴⣤⣭⣵⣼⣬⣼⣬⣧⣭⣵⣥⣤⣾⣥⣿⣬⣭⣬⣧⣴⣴⣭⣦⣥⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣴⣤⣤⣤⣽⣤⣤⣥⣬⣼⣤⣧⣴⣤⣤⣴⣿⣤⣥⣥⣬⣦⣤⣧⣵⣼⣬⣤⣴⣾⣤⣤⣷⣮⣼⣤⣶⣧⣧⣦⣬⣴⣼⣤⣤⣤⣥⣦⣽⣤⣧⣤⣧⣼⣴⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⠻⠛⣿⠿⠿⢿⡿⠻⢻⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣟⢝⡉⡩⡫⡏⠛⠛⡏⡛⢟⠛⠙⠛⡛⠋⡏⠟⣏⡙⠛⢻⡋⠙⢻⡹⠛⠛⠛⡛⡛⡏⠙⢻⠛⠛⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⠀⢰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡿⠛⠟⠟⠛⡻⠛⢿⢛⡟⠛⢟⠛⠻⠛⢟⠛⠟⡟⠛⠛⠛⠛⠻⢻⠛⢻⠛⠛⠛⢟⠛⣟⡻⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡿⢿⠿⠿⢿⠿⡿⠿⢿⣿⠿⡿⠿⠿⠿⠿⢿⢿⠿⠿⠿⠷⡿⡿⢿⢿⠿⠿⠷⡿⢿⢿⡟⠛⠛⠛⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⠀⢸⡿⠋⢿⣯⣝⠙⡟⠛⢻⠛⠛⡛⠛⣻⡋⢹⠛⠛⡋⠻⡛⡛⠛⣻⣛⠛⠛⢻
⣿⣿⡿⠷⠶⠶⠷⠶⠶⠶⠧⠷⠶⠷⠦⠶⠶⠶⠾⠶⠦⠶⠶⠶⠷⠶⠶⠾⠶⠶⠶⠷⠶⠶⠧⠤⠤⠤⠤⠤⠤⢤⣤⣤⣿⣿⣿⣿⠀⢸⣷⣶⣾⣏⣉⣉⣩⣉⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣸⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣸⣿⣿⣿⣿⠀⢠⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶
⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⡿⣋⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡿⠿⢿⠿⠿⠿⠿⠿⠿⠿⡿⠿⠿⢿⠿⠿⢿⠿⡿⠿⠿⠿⢿⠿⠿⠿⠿⠿⠿⡿⠿⢿⠿⠿⠿⢿⠿⠿⠿⠿⡿⠿⣿⣿⣿⠀⢸⣿⠀⣿⣿⣿⡿⠟⠉⢁⣀⠈⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣷⢶⣶⣶⣾⢦⣶⣾⢷⣷⣷⣶⢶⣾⢶⡶⢶⣴⣷⡿⣶⣶⣾⣶⣷⣶⢶⣶⢶⣷⣶⣶⠶⣶⣷⣾⣶⣶⡶⣶⣷⣶⣿⣿⣿⠀⢸⣿⠀⣿⣿⡟⠁⣠⣾⣿⣿⣿⣷⡄⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣧⣤⣤⣴⣤⣤⣤⣤⣷⣤⣤⣤⣼⣤⣤⣦⣤⣤⣴⣤⣧⣤⣾⣥⣤⣴⣼⣴⣧⣤⣤⠤⠼⠤⠤⢧⣤⣤⣤⣦⣤⣿⣿⣿⣿⣿⠀⢸⣿⠀⣿⣿⡇⠀⣿⣿⡟⡙⢹⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣯⣈⣉⣈⣩⣻⣭⣜⣍⣉⣏⣍⣀⣨⣉⣻⣉⣍⣸⣩⣉⣁⣩⣅⣏⣩⣩⣁⣈⣭⣻⣀⣀⣀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⠀⣿⣿⣇⠀⠻⣿⣿⣿⣿⣿⠏⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⠀⣿⣿⣿⣦⣀⠈⠙⠛⠋⠁⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡏⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⠀⣿⣿⣿⣿⣿⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡗⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⠀⣿⣿⣿⠿⣿⣿⣿⣿⢿⡿⣿⣿⣿⣿⡿⡿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿
⣿⣿⣧⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⠀⣿⣿⣧⣤⣼⣤⣤⣇⣠⣄⣀⣘⣀⣀⣀⣀⣀⣀⣠⣤⣤⣦⣤⣼⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⠀⣿⣿⣧⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⠀⣿⣿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⠀⣿⣿⣷⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⠀⣿⣿⡟⠛⠛⠛⡟⠿⠿⠟⠟⠛⢿⠛⠻⠿⠿⠿⠟⠿⢿⡟⢻⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⠀⣿⣿⣏⣉⣛⣋⣏⣛⣉⢙⣋⣙⣹⣙⣙⣟⣛⣹⣉⣏⣉⣋⣹⣉⣻⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⠀⣿⣿⡏⣋⣉⣉⣉⣙⣹⣉⣉⣙⣉⣉⣋⣙⣉⣍⣏⣉⣉⣙⣏⣙⣉⣋
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⠀⣿⣿⣏⣉⣍⣉⣋⣉⣉⣉⣉⣉⣉⣉⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⡆⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⠷⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⠃⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢹⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⢲⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠉⠉⠉⠉⠉⠉⠉⢹⡏⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⣀⣤⣶⣦⣄⡈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣼⣿⣿⣿⣿⣿⣿⡄⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠒⠒⠒⠒⠒⠒⠒⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣤⣼⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣤⣤⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠙⢿⣿⣿⣿⣿⠟⠁⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⣉⠉⢉⣁⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⡿⡿⣿⡿⣿⣿⣿⣿⠿⣿⣿⡿⣿⣿⣿⢿⣿⢿⣿
⣿⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⡖⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣶⣶⣷⣶⣤⣷⣴⣿⣶⣶⣶⣷⣶⣶⣿⣷⣾⣶⣷⣾⣿
⣿⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠧⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣷⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣉⣭⣋⣋⣋⣉⣉⡉⣽⣉⣉⣉⣉⣉⣉⣉⣉⣉⣿⣟⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 322

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/01/03/A_Salad_of_Microsoft_FUD_Against_Linux_Published_by_LinuxSecuri.shtml
    Gemini version at https://techrights.org/n/2025/01/03/A_Salad_of_Microsoft_FUD_Against_Linux_Published_by_LinuxSecuri.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ A Salad of Microsoft FUD Against Linux,
Published by LinuxSecurity.com Using LLM Slop/
Copypasta⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jan 03, 2025


"2024 was marked by numerous critical incidents..."


Said the bot:


      🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇2024_was_marked_by_numerous_critical_incidents⦈_


To a random visitor who "googles" something the above being chatbot slop/spew
would not be immediately, or overall (after careful reading), obvious:


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


That whole_"Xz"_thing was a Microsoft employee noting a Microsoft GitHub
incident, serving to distract from an imminent (days away) report from the US
government blasting Microsoft for getting cracked by China, exposing a lot of
data to and from the US government.


LinuxSecurity.com is an anti-Linux FUD site, powered by Microsoft chatbots on
the face of it. █




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⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡏⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢟⣛⣻⣛⡛⢛⠛⣛⡛⣟⣛⠛⢛⡛⡛⣛⡛⣟⠙⣿⣿⣿⣿⣿
⣿⣿⡏⠉⠉⠉⠉⠉⡏⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠚⠓⠛⠚⠓⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣯⣭⣿⣯⣍⣭⣭⣯⣿⣭⣽⣯⣭⣿⣽⣭⣭⣽⣯⣽⣿⣿⣿
⣿⣿⡗⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⢲⠒⠒⠒⠒⠒⠒⠒⠒⠒⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣽⣭⣽⣯⣽⣯⣽⣭⣽⣭⣭⣯⣯⣽⣽⣭⣭⣭⣽⣽⣿⣯⣯⣭
⣿⣿⡷⠶⠶⠶⠶⠴⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠾⠶⠶⠶⠶⠶⠶⠶⠶⠶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣯⣽⣭⣽⣯⣭⣯⣥⣯⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣧⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭
⣿⣿⣇⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣘⣁⣀⣀⣀⣀⣀⣀⡀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡏⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡏⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣻⢛⢙⢛⢟⡋⢙⢻⠙⢛⠛⠋⠟⠹⡛⠛⢻⣯⣽⣿⣿⣿⣿⣿
⣿⣿⡗⠒⠒⠒⠒⠒⢲⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡷⠶⠶⠶⠶⠶⠾⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⢶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣽⣩⣽⣉⣯⣭⣍⣿⣭⣹⣯⣭⣯⣽⣿⣩⣯⣽⣽⣭⣭⣯⣭
⣿⣿⡧⠤⠤⠤⠤⠤⠤⠤⠤⠤⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣽⣭⣻⣽⣿⣽⣽⣽⣭⣿⣽⣭⣭⣭⣭⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⢀⣴⣶⣶⣦⣄⠙⢿⣿⣿⣿⣉⣏⣹⣿⣉⣩⣽⣉⣽⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣿⣿⣿⣿⣿⣿⣇⠈⣿⣿⣿⠿⡿⢿⡿⠿⠿⢿⠿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠸⣿⣿⣿⣿⣿⣿⡟⢀⣿⣿⣿⣾⣷⣾⣷⣶⣶⣶⣶⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠙⠻⠿⠿⠿⠋⣠⣾⣿⣿⣿⣽⣝⣍⣝⣻⣙⣹⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⢟
⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣽⣛⠣⣿⣏⣟⣛⣛⣻⣟⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣫⡏⡏⡯⣫⠿⢹⣽⠿⣿⣏⢿⢹⢻⢻⡻⡏⣿⣿⢙⢽⡟⡟⣟⡟⡻⡻⣿⡏⣿⡗⡟⡟⡟⡟⣟⢿⣿⣙⢿⢻⡟⣟⡟⡟⡟⣻⢺⢹⠻⣿⡏⣟⡟⣿⢻⣻⢻⢻⢹⠻⣿⢏⢿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣷⣿⣷⣾⣿⣾⣿⣷⣿⣾⣾⣾⣾⣾⣿⣷⣿⣿⣾⣶⣷⣷⣷⣿⣷⣷⣿⣷⣿⣷⣷⣷⣷⣷⣷⣷⣿⣾⣾⣾⣷⣷⣷⣷⣷⣿⣾⣾⣿⣿⣷⣿⣿⣾⣾⣿⣾⣾⣾⣷⣿⣶⣷⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⢻⣻⠿⡿⠿⣿⢿⣿⣟⠿⣿⢰⢻⢻⢻⣿⡏⣿⡟⣿⣛⡟⣟⡿⣿⣿⣋⢿⢻⢸⢻⢻⢻⢺⢻⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣾⣶⣷⣾⣾⣶⣿⣿⣶⣷⣿⣾⣾⣾⣾⣿⣷⣷⣷⣿⣾⣷⣿⣵⣿⣷⣿⣾⣾⣾⣾⣾⣾⣾⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡿⡛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠃⣘⡈⠉⣿⣿⣿⣻⣫⣝⣿⣟⣏⣙⡛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣶⣿⣷⣟⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠉⠉⠉⠍⠭⢛⣛⣿⡯⠉⣉⣩⡉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣻⣻⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⣠⠬⢿⣿⣿⡇⢸⣿⣿⣿⡄⢿⣿⢻⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⡤⢾⣶⣿⣿⡿⣿⣿⠀⣿⠿⠿⠓⠚⠻⣿⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣾⣿⣿⣷⣿⣿⣿⣿⣷⣿⣷⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣴⣧⣿⣿⣿⣤⣽⣿⣭⣤⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⣿⣿⣿⠀⠀⠀⡰⣤⡀⡄⣀⣀⠀⡀⢀⣀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠈⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⣿⣿⣿⠀⠀⠐⠃⠛⠃⠉⠉⠀⠉⠀⠉⠛⠋⠉⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠑⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠄⠒⠒⠒⠂⠠⢀⡀⠀⠀⠀⠀⠀⠀⠀⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣘⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠂⠀⠀⠀⠀⠀⠀⠀⢀⣠⢪⣄⠀⠀⠀⠀⠀⠀⠀⢅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠊⢂⠀⠀⠀⡂⠀⠈⠀⠀⠀⠀⠀⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠠⢰⠐⠀⢀⣄⠀⠁⠄⠀⠀⠙⠀⠀⢱⠀⠀⠀⠀⠁⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣜⡿⠉⠀⠀⠀⠀⠀⠐⠀⠀⠈⠀⠀⠀⠀⢹⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⢩⣇⡀⠀⠀⡄⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠄⠀⠀⠀⠀⠀⠀⠀⠈⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣻⣶⡔⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠠⢀⠀⠀⠀⠁⠀⠀⠀⠈⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢠⠝⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⠀⠀⠀⠡⠀⠀⠀⠀⠈⠂⠄⢀⠀⠀⠀⢀⡀⠴⠂⠁⠀⠀⡀⠀⠀⠀⠀⠀⡠⠄⠀⢀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⡄⠉⠀⡠⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠄⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⡠⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠐⠉⠀⠀⠠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⢀⢀⠠⠠⠂⠁⠁⠀⢀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⣿⣿⣿⡀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠉⠉⠉⠉⡏⠉⣉⠉⢹⠉⢉⡉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠈⠁⠀⡇⠀⠘⠀⢸⠀⠘⠂⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣯⣿⣿⣿⣯⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⠏⢠⣼⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⢿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⠋⢠⣾⣿⣻⣿⣿⣿⣟⡟⣿⣿⣿⣿⣿⣿⣻⣻⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣿⢻⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⡿⢁⣴⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣻⣰⣩⣻⣟⣞⣏⣞⣿⣛⣧⣇⣇⣫⣿⣸⣸⣏⣝⣇⣝⣐⣇⣪⣰⣅⣾⣿⣻⣸⣧⣻⣇⣽⣝⣽⣐⣿⣼⣟⣞⣸⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 465

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/01/03/Canada_Windows_at_All_Time_Lows_ChromeOS_and_GNU_Linux_Rise_to_.shtml
    Gemini version at https://techrights.org/n/2025/01/03/Canada_Windows_at_All_Time_Lows_ChromeOS_and_GNU_Linux_Rise_to_.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Canada: Windows at All-Time Lows, ChromeOS
and GNU/Linux Rise to Almost 8%⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jan 03, 2025,
updated Jan 03, 2025


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


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


As noted in the_last_post, Windows is down to all-time_lows_in_Canada.


The interesting part, however, is ChromeOS and GNU/Linux. They're fast
approaching 10% of "the market". See the chart above, comparing Windows to GNU/
Linux PCs and Chromebooks combined. It is widely known that many schools in
Canada adopted ChromeOS. █




⡿⣛⣻⣽⣭⣿⣿⣭⣿⣭⣭⣿⣭⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⢿⢿⡿⠿⢿⣿⣿⣯⣛⡏⣿⡟⣿⣿⣿⣿
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⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠸⡎⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢩⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣯⣝⣿⣿⣿⣿⣿⠸⣿⣿
⡷⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⢿⣿⡟⣠⣿⣿⣮⣿⣿⠿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿
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⣿⡗⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡔⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢬⣿⣿
⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⣱⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⡻⢿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿
⣿⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣝⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣫⣾⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠼⣿⣿
⣿⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣮⡻⢿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣋⣵⣿⣿⣿⣿⣿⣿⣿⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣝⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣥⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿
⣿⢺⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⡿⢿⣟⣿⣿⠿⠿⣿⣿⣷⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢈⣏⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿
⣿⡎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣷⣶⣾⣿⣿⡇⢹⣿⣷⣶⣶⣶⣿⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿
⣿⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿
⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣟⢼⣿
⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢺⣿
⣿⣸⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣈⠻⢟⣻⠟⢿⠻⠿⠟⠿⣿⠿⢛⢻⠿⢻⡛⢿⠧⣿⣿
⣿⣶⣭⣯⣽⣭⣭⣽⣭⣴⣶⣽⣶⣧⣽⣵⣤⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿
⣿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣶⣾⣷⣿⡇⠁⠀⠀⠀⠀⠀⠀⠈⠈⠀⠁⠀⠀⠁⠀⠀⠀⠆⠐⠒⠖⠲⠶⡆⠆⡆⠀⠰⢰⢰⢰⣶⢰⢰⡆⣶⡆⠀⣶⢰⠀⡆⢰⡆⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠀⠈⠘⠇⠻⠇⠀⣿⢸⠀⡇⢸⡇⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠈⠀⠀⠀⠁⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣷⣮⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣽⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣟⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣟⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣻⣯⣯⣽⣟⣽⣿⣿⣏⣿⣿⣿⣟⣏⣿⣿⣹⣯⣋⣫⣝⣩⣿
⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣽⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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                    ䷩ 𝚕𝚒𝚗𝚎 554

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

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⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Engineering Things to Last 70 Years in an
8-Bit, 16-Bit, and 32-Bit World⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jan 03, 2025


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


Nowadays they make things that barely last 7 years, for instance because the
so-called 'Linux'_Foundation decides to revoke a stupid certificate (fake
'security'), rendering millions of well-functioning devices unable_to_access
the_Web_for_dumb_"reasons"


"If Y2K happened today, it would be far, far worse" according to a reader
citing this_new_article_by_Brandon_Vigliarolo. Vigliarolo writes: "The Y2K
problem was actually pretty straightforward to fix: At its core, it was a
practical choice - driven by awareness of memory constraints - made by computer
programmers in the 1960s, 70s, and 80s. They built their systems with little
regard for what would happen when the world entered a new millennium - they
coded all those legacy systems with two-digit year dates, meaning when the year
changed from 99 to 00, systems could interpret the change as a return to 1900 -
not 2000."


"The 1LzYear 2038 problem is going to be a big problem," according to the
reader, "because embedded devices with 32-bit time are still being deployed and
it is quite feasible that a large number of them will still be in use by then."


It impacts not only GNU/Linux (especially the latter) but UNIX in general. It's
not only essential to tackle this; it can be a matter of life and death in some
domains. If only the UNIX creators foresaw the long life of their creation. See
"64-bit Time on OpenBSD" [1, 2] (the latter fixes the issue).


Nothing_lasts_forever, but that should not be an excuse for sloppy design. The
time system was not sloppily designed, it just made different assumptions about
the hardware.


Sometimes we see UNIX "bashed" for this; but why? Think about how long this
time system/scheme has lasted. In relative terms, that's spectacular!


A lot of things aren't made to last even a tenth of that duration.


The "old" cars used to last a lot longer than the so-called "modern" or "smart"
cars (components aren't manufactured anymore, so spare parts are harder to find
or more expensive to buy). "Repair and replace" isn't the sole aspect; the
materials of the assembled parts and the total number of parts are among many
other factors.


What_happened_to_good_engineering? We now have planes_exploding because they
lack "feet" (or wheels). Are pilots using "apps" for that now? █




⣿⠀⠀⠘⣿⣿⡇⢸⣿⣷⣿⠯⢤⣶⣶⣿⠿⠻⣿⠄⠰⣏⣽⣿⣛⣛⠛⠛⣻⣶⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⢿⣿
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⣿⠁⠀⣄⠿⠃⠀⠀⣿⡟⠀⠘⡡⢤⡇⣆⠀⠀⠀⠠⣤⠄⢰⣿⣿⣿⣿⡿⢸⡇⠙⠓⠀⠋⠙⠋⠈⠛⣃⣈⣛⠂⢚⣛⣛⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⠀⠀⡒⡒⠂⠐⣛⡒⠚⠛⣛⣛⡛⠛⠘⣛⣛⣓⣛⣛⣛⣛⣛
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⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⡰⣿⡿⠛⠈⠇⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠈⢃⠀⠈⢿⣿⣷⣿⣶⣦⣄⠹⣿⣧⡿
⣿⣿⣿⣿⣿⣽⡾⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣛⣻⡿⠟⠋⣸⣫⡏⠠⠀⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⣤⣤⣤⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⡉⣿⣿⣶
⣭⣭⣭⣭⣿⡿⣴⣒⣒⠹⣿⣿⣿⣿⣿⣿⡿⠟⠛⠉⠉⠙⣿⣿⣿⣿⣗⣿⣿⣿⣿⣅⣀⣀⣉⣽⣀⢀⣉⠀⠉⠀⠉⠀⠐⣀⡤⠤⠒⠒⠚⠉⠉⠉⠉⢉⢁⣠⡀⠇⣀⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣷⣿⣿⣿
⠿⣿⣿⣿⣿⣧⡹⣿⣿⠆⢫⣿⣿⣿⣿⡟⠀⠀⠀⠄⠀⠀⢘⣽⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⠏⠀⠀⣿⣏⣩⣉⣉
⠒⠀⠀⠀⠬⠉⠉⠀⠀⠒⠛⣛⢿⣿⣿⠁⠀⠀⣀⣵⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢠⡆⠀⣿⣿⣿⣿⣿
⠀⠀⣒⡼⢶⣲⣶⣲⣶⣒⣚⣿⣿⢿⣿⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠈⢮⡆⣿⣿⣿⣿⣿
⠤⠤⠤⠄⠸⣤⣤⣀⣀⠀⠄⣿⣵⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⢥⠽⡇⣿⣿⣿⣿⣿
⣶⣿⣿⣿⣆⠀⠀⠀⢀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⢹⣿⢰⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠟⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠉⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⣠⣦⡀⠀⠀⠀⢁⣾⣿⣿⣿⣿⣿
⠙⠋⠁⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠘⢿⣿⠇⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿
⣦⣼⣷⣶⣶⡶⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⠏⠀⠀⠀⠀⣀⠀⠀⠀⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠘⢸⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⠀⡀⠀⠀⠉⠉⠙⢛⣛⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⢀⣾⣶⡁⠀⢠⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢘⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣀⠁⠂⠀⠀⢠⠱⡜⡹⣩⡿⣠⠒⣖⢩⠉⠉⠉⠛⠛⠛⠛⠛⠻⠿⠿⠾⠯⠿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠁⠀⠀⠀⡼⢿⢿⣿⡀⠘⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⢰⡆⢸⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠉⠉⠓⠛⠩⠧⠝⢱⠇⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣼⣿⣿⣿⡿⠿⠛⣉⣤⡆⠀⠀⠀⠀⣆⢩⢏⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠿⡆⠀⠀⠘⠃⣸⣿⣿⣿⣿⣿
⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⢉⣀⣤⣴⣶⣿⣿⡟⠀⠀⠀⠀⠀⣤⡀⠺⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠤⠤⣄⣴⣶⣄⠀⠀⠸⣿⣿⣿⣿⣿
⠿⡿⠋⠀⠀⣾⣷⡄⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠈⠉⠻⠿⠿⠿⠟⠀⠀⠀⠀⠀⠀⢿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣤⣿⣿⣿⣿⣷⠀⢚⣹⣿⣿⣿⣯
⠀⠀⠀⠀⠀⠙⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⠿⠁⣀⣶⣿⣿⣿⡿⠿
⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⣿⣿⣿⣻⣗⣿⣿⣿⣿⣿⡿⠿⣯
⣀⠀⣯⣽⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⡯⣍⡉⠙⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 651

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/01/03/GNU_Linux_Rose_to_5_in_Belgium_It_Was_1_66_Last_January.shtml
    Gemini version at https://techrights.org/n/2025/01/03/GNU_Linux_Rose_to_5_in_Belgium_It_Was_1_66_Last_January.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ GNU/Linux Rose to 5% in Belgium (It Was
1.66% Last January)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jan 03, 2025


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


Trebling in 12_months, according_to_statCounter


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


Europe's unofficial "capital" was never a huge adopter of GNU/Linux. Microsoft
lobbyists were infesting the country, ensuring that every decision-making
person had Microsoft oozing out of his/her every orifice.


Are_things_starting_to_change? The most popular instance of Invidious,
yewtu.be, is run_by_a_Belgian. FFII is also run by a Belgian. FOSDEM is in
Belgium. Drupal started in Belgium.


Windows_apparently_fell_to_26% (see below). Android rose to 35%. █


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




⠙⠻⢻⣿⣿⠟⠟⠻⢟⠟⢿⣿⣿⣿⣿⡿⢿⡿⠿⠿⣿⣿⠿⠿⠿⢿⡿⠿⠟⢿⡏⠟⠷⣦⣼⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠯⡤⢤⣤⣴⣿⡿⢮⣿⠋⣽⣿⣿
⠀⠀⠾⣿⡇⠛⠀⢀⣿⡇⣀⠘⣿⡿⠻⠃⢠⣿⡇⠀⠀⠀⠀⠀⣤⡜⠁⡀⠀⠈⠀⠓⠚⠋⣿⣟⣿⣿⠟⣿⣿⣿⡍⠃⠀⢻⣿⡍⠹⠉⠀⠉⠁⠀⠐⠂⠀⠀⠀⠀⠀⠉⠙⠀⠀⠀⠀⠀⠉⠈⠉⠀⠺⠟⠀⠀⠀⠀
⠀⠀⠀⠈⡀⢀⠘⠿⣿⣿⣿⣷⣿⣿⠀⠀⢸⡿⠁⠀⠀⠀⠀⠀⠉⠀⠀⠁⡄⠀⠀⠀⠀⠀⠈⢿⣿⠷⠦⠈⠋⠛⠀⠘⢀⣾⠏⠉⠠⡄⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⣿⣿⣿⣾⡷⠉⣍⣿⣿⣿⣷⡿⢻⡇⣸⠘⠂⠀⠀⠀⠀⠀⣂⠀⠀⠂⠀⠀⠰⠄⠀⠈⢻⣶⡄⠀⠀⠀⠀⠀⠀⠀⢠⠀⢺⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠙⠉⢻⣿⣿⡿⣿⣏⣿⣿⡿⠙⠷⠊⠛⠁⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⣶⠀⠈⠛⠁⠀⠀⠀⠀⠀⠀⠀⠈⠀⠹⣿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠠⠀⠀⠀⢸⣿⠿⠀⣿⣿⠿⠿⠷⢶⣶⣤⠀⣶⣶⡶⠶⠶⠶⠶⠆⣶⣶⣆⡀⠀⠀⠈⠃⣦⣴⡶⠶⠶⠶⢶⣦⣄⠀⢴⣶⡆⢰⣶⣶⠀⠀⠀⠀⢰⣶⣶⠀⣶⣶⣶⣦⡀⠀⠀⣴⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠈⠛⠀⠀⣿⣿⠶⠶⠶⢾⣿⣏⡀⣿⣿⡷⠶⠶⠶⠶⠆⣿⣿⡿⢟⣤⠀⠀⣸⣿⣿⠀⠀⠠⣦⣴⣶⣶⠄⣸⣿⡇⠀⣿⣿⠀⠀⠀⠀⢸⣿⣿⠀⣿⣿⠘⢿⣧⠀⣼⡿⠁⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢰⣤⣶⠀⠀⠀⣿⣿⣦⣤⣤⣶⠿⠟⠁⣿⣿⣷⣶⣶⣶⣶⡤⢿⣿⣷⣶⣿⣿⣿⡿⠛⠿⣷⣦⣤⣴⡾⢿⣿⠄⢿⣿⡧⠀⠛⠿⣷⣦⣤⣴⡿⠿⠋⠀⣿⣿⠀⠈⢿⣿⡟⠁⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣴⡄⠀⣼⠁⠀⠀⠀⠀⡀⠛⢂⡀⠤⠀⠀⠀⠀⣠⣿⣶⡜⣻⣴⣦⣄⣀⢀⣠⣤⣿⣿⣿⣋⣀⢀⢠⣄⠐⠂⠀⠀⢠⡆⣠⣀⡄⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣦⣾⣿⣟⣂⣼⣒⣾⣡⡘⠛⣻⣿⣷⣼⣧⣬⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⢋⣭⣽⠛⣿⣬⢙⣾⣿⣧⣰⣾⣿⡿⣿⣿⠷⢠⡀⢠⣮⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⣿⣿⣿⡿⣿⣿⠿⢿⣿⣿⣿⣿⣾⣿⣷⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠻⣿⣿⣿⣿⢿⣿⣿⣿⢿⠟⣻⢿⣿⣿⢿⣿⣿⣷⠋⣠⢀⢦⢽⣿⣿⣿⣿⠏⠙⠛⠿⣋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⣽⣿⢯⠁⢰⣿⡟⠀⠀⠀⢯⣿⣿⣇⡈⠉⠙⢿⣿⣿⡿⠀⣸⣿⣿⣿⡇⠀⠀⣴⣾⣿⣥⣤⣬⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣿⡄⢰⠿⠁⠀⠀⠀⠀⠀⢹⣿⣿⠇⠀⠀⠀⠁⠹⣷⣄⣿⣿⣿⣿⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠉⠉⢹⣷⣿⠃⠀⢀⠀⠀⠀⢀⣀⣴⣯⡟⠀⠀⠀⣀⣀⡀⠀⠈⠙⠇⠻⣿⡧⠈⣹⠟⠋⠁⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢻⣿⡇⠀⠀⢀⣙⣯⣻⠀⠀⠀⠀⣴⣾⣿⣿⣿⣿⣦⣖⣲⣿⣿⣿⣿⣶⠀⠀⠀⠀⠈⠁⣀⠁⡀⠀⠀⠀⠀⠘⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣟⡛⡓⠂⠉⠁⠀⣠⣿⣿⠏⠁⠀⠀⢀⣾⣟⠙⠻⣿⣿⣿⣿⣿⡿⠋⠛⠛⢿⣿⣷⣴⠀⠀⠀⠘⢿⡻⣿⣆⠀⠀⠀⠀⠀⠐⠛⠿⠿⠿⠿⣟⠛⠛⠛⠛⠛⠛⠻⠛⠿⠟⠛⠛⠛⠛
⠉⠙⠋⠉⠋⠉⠋⠉⠉⠉⠉⠉⠉⠙⠉⠁⠀⠀⣾⣿⣿⠏⠀⠀⠀⠀⣼⣿⣿⡷⠀⢿⣿⣿⣿⣿⠁⠀⠀⠀⢶⠀⠉⢿⡆⠀⠀⠀⠀⠀⠛⠛⠇⠀⠀⠀⠀⠈⠁⠛⠛⠛⠛⠙⠁⠀⠀⠉⠉⠋⠉⠉⠙⠛⠉⠉⠉⠉
⣭⣭⣤⣭⣤⣔⣒⣲⣾⣶⣆⣀⣸⣇⣀⣀⠀⢸⣿⠟⠀⠀⠀⠀⠀⠀⠙⣟⡛⠛⠳⢶⣿⣿⣿⣷⠀⠠⠞⠛⠉⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠘⠠⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⣀⣀⣀⡀⣀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠁⠀⠀⠀⠀⠀⠀⣾⣤⡯⠀⠀⢀⣼⣿⣿⡟⣿⣯⡀⠀⢤⣀⣀⣠⣋⣩⣄⡀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⢀⣠⣀⠀⠀⠈⣿⣿⣶⣿⣿⣿⣿⠿⢷⢤⣌⣿⣤⣀⣻⣻⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⢀⣠⣴⣿⣿⣿⢀⣀⣾⣿⣿⣿⣿⣿⣭⣭⣤⣥⣄⣤⣯⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠖⠀⣴⣾⣿⣿⣦⣀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠻⠛⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠙⢿⣿⣿⣿⣿⣿⢿⢿⠿⣇⣶⠄⠀⠀⠛⠉⠹⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠽⣿⠿⢿⠿⠏⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⠿⣿⣿⡶⠆⠘⡷⠀⠀⠀⠀⠀⠀⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠖⠀⠀⣀⣴⡿⠑⠀⠀⢀⡀⠋⣴⣤⣤⣀⣀⠀⠀⠀⠀⠉⠁⠀⣤⡄⠠⣀⣶⡀⠀⣀⠀⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠿⠃⠀⠀⠘⠋⠁⠀⠀⢰⣿⡗⣲⣾⡿⠿⡟⡛⠁⠀⠀⠀⠈⠉⠀⠀⠂⠐⠊⠉⠱⡌⢠⡈⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⢀⡀⠀⠀⠀⠀⠀⢀⣾⣯⣽⣿⣿⣧⣰⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⣀⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣯⡅⠀⠈⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣉⣻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠓⣶⣶⣶⣶⣤⢠⣼⣿⣿⣿⣾⣿⣟⣛⣻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣷⣤⣠⣾⣻⣿⣿⣿⣶⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⣄⠀⠀⠀⠀⢀⣤⡀⠀⢠⡆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣽⣷⢸⣿⣿⣿⣿⣿⣿⣿⣿⣯⡍⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣙⣿⣿⣻⣿⣿⣿⣿⡆⠸⢿⣷⣤⣁⡀⣸⣿⡿⠀⢴⠓⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣸⣿⣸⣿⡿⣿⣿⣿⣿⣿⣏⡁⠉⠀⠀⠀⡈⢻⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡇⠰⠘⠿⣿⣿⣿⣿⣿⡁⣠⣶⡦⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠈⠉⢝⠛⢿⡿⠿⠿⠿⢿⠿⠇⢻⣿⣿⣿⣿⡟⠁⠀⠀⠀⠈⠁⢀⣿⣿⣿⣯⣹⣧⣿⡟⢿⣿⣿⣿⣿⡇⠀⠀⠀⣨⡿⠹⢿⣿⠃⠘⠲⠶⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⢀⠈⠁⣾⠇⣼⡿⣿⡄⢸⣿⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡏⠾⣿⠛⣿⣿⣬⣿⣿⣿⣿⡁⠀⠀⠀⠋⠛⠆⠈⣇⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠈⠁⢸⣿⢠⣿⠀⣸⡇⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣴⣁⣽⢾⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⠆⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠻⠿⠏⢸⡿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣟⣷⠀⠿⠿⣿⣿⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⣾⡇⣼⡿⣿⡀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣏⣿⣿⠀⢄⠃⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⠛⢿⣿⣿⣿⣿⣿⡿⠿⠋⠛⣿⣿⠃⠈⢉⣀⠀⣵⣻⣦
⠀⠀⠀⠀⠀⠸⣏⢀⣿⠀⣸⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⡿⣿⠀⣿⣤⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⣿⣿⣷⣆⡀⠀⠀⠀⠀⠘⠀⠀⠀⠆⠀⠈⠛⠀⠀
⠀⠀⠀⠀⠀⠀⠻⠿⠋⠰⠿⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡿⠋⠀⠱⠠⢿⣿⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠸⢿⣫⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠿⡿⠿⣿⣦⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡆⠀⠀⣀⠀⣼⣿⣝⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⡏⠀⠀⠀⣿⠀⣿⣿⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠀⠀⠀⠎⠙⠂⡀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣶⣶⣶⣶⡿⠁⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣇⣀⣹⣥⣤⣿⣼⣿⣇⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⣀⣴⣶⣀⣠⣴⣿⣿⣧⣤⣀⣀⣀⣼⣿⣄⣀⡀⠀
⠀⠀⠀⠀⠀⠀⣩⣯⣍⣭⣤⡄⠰⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡧⠄⠀⠀⠀⢀⣿⠉⣿⠋⠉⠁⠠⡇⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡿⣿⣿⣿⣿⣿⠟⠰⣯⣾⠁⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣴⣷⡓⠀⠀⢸⣿⣤⣿⣦⣤⡄⢰⣿⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⠁⠰⠻⡿⢿⡟⠀⠀⢨⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣶⣤⡄⣩⣭⣉⣭⣍⠁⢸⣿⣤⣷⠤⠀⠈⠀⣸⣿⣿⣿⣶⣄⠘⢿⣸⡄⣦⣦⢸⣷⡶⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣟⣿⣿⣯⣿
⠛⠛⠋⠉⠉⠀⣿⠛⣿⠋⢻⡎⠻⡟⠛⠂⠐⠒⠀⠀⠙⣿⣿⠿⠛⢻⣷⣿⣿⣿⣿⣿⠀⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠈⠛⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⣿⣤⣿⣤⣼⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⣨⣿⣿⣿⣽⢿⣟⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠙⠋⠙⠛⠛⠛⠛⠛⠋⠉⠉⠉
⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠁⠀⠃⠀⠀⠀⠀⠀⠀⠀⢻⣧⣰⠀⠈⣿⣿⣿⡏⠈⢀⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣤⡄⠀⠀⠀⣸⡗⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣸⢿⣿⡀⣀⣿⣿⣿⡇⠀⠸⣿⡧⠄⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⠉⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠉⢹⣿⣿⣿⣿⣿⣿⣿⣸⠾⠿⡿⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠋⣿⣿⣿⣿⠛⣔⠀⠉⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⠿⡿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢙⣱⣿⣿⣝⡇⣯⣏⣻⢩⡏⣋⣿⢨⣽⢙⣹⣏⣏⣿⢹⢿⢹⢹⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣷⣾⣾⣿⣶⣷⣿⣷⣾⣾⣿⣶⣿⣶⣾⣷⣾⣧⣥⣿⣷⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢸⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿
⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿
⠶⠶⠶⠴⠷⠦⠡⠤⠤⠈⠉⠉⠙⠛⠛⠛⠛⠛⠋⠟⠻⠿⠿⠿⠿⠟⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠻⠏⠩⠉⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢸⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣠⣿⣶⣶⣶⣶⣶⣷⡄⢻⠿⠟⠻⠟⣛⡛⠻⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠻⣿⠏⣠⡈⠋⣤⣶⣾⣿⣿⣇⠹⠉⠟⠏⣰⣶⡈⢻⡟⠻⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿
⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⣴⣶⣷⣾⣿⣿⣦⣤⣭⣉⣉⣡⣌⣡⣶⣶⣿⣶⣦⣶⣿⣿⣶⣿⣿⣿⣿⣿⣿⣷⣦⣤⢀⣿⣿⣷⡈⠀⣦⣭⣤⠘⠛⠛⣿⢸⣿⣿⣿
⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣰⣿⣿⣿⣿⣾⡆⢹⢸⣿⣿⣿
⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠈⢸⣿⣿⣿
⠀⠀⠀⢀⣛⡛⠛⠛⠋⠉⠛⠛⠛⠛⠋⠉⠛⡛⠛⠛⡛⠛⠛⢛⠛⢛⠛⠛⠛⠛⠛⠋⠙⢛⠛⠛⠛⡛⠛⢛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣂⢸⣿⣿⣿
⠀⠀⠀⢸⣿⡧⢈⠙⡇⠀⠿⠃⡉⠀⡇⠀⠿⠀⢾⠷⠀⠸⠇⢀⠀⠸⠀⠀⠀⡆⠀⡇⠸⢿⠀⢁⠤⡇⢰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿
⠀⣠⣤⣾⣿⣷⣤⣴⣿⣦⣴⣦⣴⣦⣷⣦⣴⣷⣤⣴⣷⣦⣴⣾⣦⣴⣦⣶⣶⣷⣶⣷⣤⣶⣶⣤⣶⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿
⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢸⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠘⣿⣿⣿⣿⣿⡇⣰⢸⣿⣿⣿
⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠻⠿⠟⠛⠿⠟⠁⠤⠶⠾⠷⠦⠤⠤⠉⠛⠛⠛⠛⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠠⠀⠟⠉⠛⠡⠤⠤⠿⢸⣿⣿⣿
⣿⣿⣿⣿⣿⡿⠿⣿⣿⠿⠿⣿⡿⠟⠛⠛⠋⣉⠃⡀⣉⣡⣉⣉⣡⡈⢋⣤⣄⣶⣶⣿⣷⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣈⣠⡄⠻⣿⣿⣿⣿⠟⢠⠈⠙⣿⡿⠿⠁⣾⣷⣶⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿
⣩⣌⣠⣈⣉⣤⣦⣤⣤⣶⣦⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣉⡉⠋⣁⣤⡟⣛⣂⣈⣁⣐⣚⣛⣛⣛⣛⣛⣛⣛⣛⣛⣘⡛⢻⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠯⠴⠥⠼⠧⠧⠧⠬⠿⠥⠾⠼⠤⠬⠿⠿⠇⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠘⠉⠿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⣿⡿⠟⠁⠠⠈⠙⠟⠛⠛⢋⡀⠂⠈⠛⠛⣛⣛⡋⠭⠭⠁⠚⠏⠛⢸⣿⣿⣿
⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣉⣉⣁⣈⣁⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣸⣿⣿⣿
⣿⢿⠿⢿⠿⠿⢧⣶⡶⡶⡶⠶⠶⠶⠶⠶⢾⣿⠿⡿⡿⡿⠿⠿⠿⢿⠿⢿⣿⡿⡿⠿⠿⢿⣿⡿⠿⢿⡿⠿⠿⢿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣶⣾⣾⣶⣶⣾⣿⣷⣶⣷⣶⣶⣶⣶⣶⣾⣿⣷⣶⣷⣾⣶⣶⣶⣾⣶⣶⣿⣿⣶⣷⣶⣶⣿⣿⣿⣿⣶⣾⣶⣾⣵⣶⣶⣶⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿
⣿⣿⣿⣫⣝⣟⣻⢟⢿⣻⡻⣛⣿⢛⠿⡛⣿⠯⡿⡿⢛⣛⣟⣻⣛⣟⣿⣟⡿⢹⡛⡿⣻⢿⣛⡟⣿⡯⣽⣛⣿⣻⢛⢟⢿⡏⠭⡿⣻⠹⡛⣿⣿⡟⡻⡻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿
⣿⣿⣿⣮⣵⣯⣵⣭⣽⣧⣤⣯⣿⣿⣄⢌⣿⣭⡴⣼⣥⣯⣮⣽⣿⣿⣿⣿⣼⣼⣤⣿⣷⣮⣭⣧⣿⣭⣼⣿⣧⣽⣼⣮⣽⣧⣭⣯⣽⣌⢄⣿⣭⣧⣧⣧⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⣿⣿⣿⣿
⣿⣿⣿⣶⣭⣩⣷⣾⣮⣆⣄⣿⡿⣯⣯⣹⣢⣱⣗⣧⣻⣿⣯⣅⣀⣭⣭⣭⣭⣥⣤⣤⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣤⣤⣼⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⢘⠛⠻⠿⠿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣶⣶⣦⣤⣉⣙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡏⣿⣿⡿⠿⢿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣌⡙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣿⣿⣿⣿
⡇⣿⣿⣷⣶⣶⢰⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣤⢐⠲⠶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡆⣿⣿⣏⣿⣿
⡇⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣌⣉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⢸⣿⣿
⡇⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⣿⡿⠿⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡟⣾⣿⣿
⡇⣿⣿⡟⠛⠻⠸⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠛⠁⠀⠈⠁⠼⠷⠶⠈⠛⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠇⣿⠇⣿⣿⣿
⡇⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⢀⠀⠀⠀⠀⢻⣿⣿⡷⣦⠈⡙⠻⢿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠏⣘⠻⣿⡏⢹⣿⣿⣿⣿⣿⡇⣿⢸⣿⣿⣿
⡇⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⡷⠀⠀⠀⣿⡧⠐⡆⠖⠀⢀⠰⡀⠐⠀⠀⠃⠇⠇⠄⢀⠰⡀⠤⠀⣾⣿⣿⣿⣿⣿⣿⠃⣤⣿⡄⠿⠁⠈⢹⣿⣿⣿⣿⡇⡏⣼⣿⣿⣿
⡇⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⣠⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣦⣼⣦⡉⢀⣉⠛⠻⠿⡟⠙⢋⠛⠏⡈⢸⣿⣿⣧⡀⢸⣶⠈⡿⣿⣿⣿⡇⠃⣻⣿⣿⣿
⡇⣿⣿⣏⣉⣛⢘⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣂⣀⣀⣀⣘⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣒⣂⣀⣚⣛⣓⣀⣓⣛⣛⣛⣛⣛⣛⣛⡃⠁⠙⡙⠛⠃⣴⣿⣿⣿⣿
⡇⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣿⣷⣆⠀⢻⣿⣿⣿⣿
⡇⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿
⡇⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢿⣿⠿⠟⠋⣍⣉⣁⣆⢈⠛⠋⣀⠻⣿⣿⣿⣿⢿⣿⣿⡟⠀⠙⣁⣡⠀⣸⣿⣿⣿⣿
⡇⣿⣿⣧⣤⣭⢨⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⠍⠉⠨⣭⣭⣭⣭⣭⣭⠩⣭⡭⠉⠠⢉⠉⠩⠄⠄⠁⠤⠤⢭⣭⣭⣭⠭⠭⢭⠭⠩⠅⠈⡉⠭⠍⠀⢨⠁⢀⣤⣤⣤⣤⡄⣿⣿⣿⣿⣿
⡇⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠟⡃⠙⠛⡛⠀⠁⠀⢠⣤⢴⡶⡶⠤⠶⢶⢾⡦⠐⠖⠀⠆⢁⣀⡀⠂⠐⠲⠶⢷⡾⢄⠃⢀⡠⢾⡄⢰⡞⠉⠿⠿⠿⠁⣿⣿⣿⣿⣿
⡇⣿⣿⣿⣿⣿⢸⠿⠿⠿⠛⠛⠛⣛⣉⣉⣭⣥⣤⣤⣤⣤⡴⠄⢂⣀⣠⠤⠀⠒⢃⣤⣀⣤⣤⣤⣴⣤⣴⣶⣶⣤⣶⣶⣶⣆⣴⢿⣶⣷⣶⣿⣿⣿⣿⣿⣿⣷⣦⣴⣄⣉⣉⣥⣦⠌⣩⣴⣷⣴⣶⣷⡇⣾⣿⣿⣿⣿
⡇⣿⣿⣿⣿⣿⠰⠶⠶⠶⠿⠿⠿⠿⠿⠿⠿⠟⠛⠋⠡⠀⠒⠊⠉⠭⠴⠶⠶⠾⠾⠿⠿⠿⠿⠿⠿⠟⠻⠿⠿⠿⠿⠿⠿⠿⠇⠘⠻⠟⠻⠿⠿⠿⠿⠿⠿⠿⠻⠿⠋⠉⠛⠟⠋⠀⠙⠿⠿⠿⠟⠻⠇⢿⣿⣿⣿⣿
⡇⣿⣿⣿⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡤⠀⣤⣤⣴⣶⣤⣤⣤⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡶⡲⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡖⡒⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿
⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢄⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣻⠛⠛⠛⠛⠛⣿⣟⠛⡟⠛⢻⣿⡛⢻⠛⠛⠛⣿⡛⣟⠟⠛⠛⠛⠛⣿⡟⢛⣿⠛⠛⢻⣿⠛⢻⠟⠛⠛⠛⠛⢻⣟⣛⡛⡛⠛⠛⡛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 805

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/01/03/In_Hong_Kong_and_Taiwan_People_Flock_to_GNU_Linux_Unlike_Window.shtml
    Gemini version at https://techrights.org/n/2025/01/03/In_Hong_Kong_and_Taiwan_People_Flock_to_GNU_Linux_Unlike_Window.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ In Hong Kong and Taiwan People Flock to
GNU/Linux (Unlike Windows, GNU/Linux Doesn't Capture Screenshots of Everything
You Do and Add Back Doors to Encryption)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jan 03, 2025,
updated Jan 03, 2025


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


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


In Windows, all your files are exposed, even if you (think you) encrypt them
[1, 2].


Under the guise of "hey hi" (AI) "innovation" Microsoft now captures
screenshots of everything you do in Windows, even when you type passwords,
enter credit card numbers, watch pornography, browse with Tor etc.


It's not hard to understand why people in Hong Kong and Taiwan would gradually
move away from Windows. Microsoft made a deal with China not only for censored
'search' but also access to Windows (some source code too).


Hong Kong and Taiwan have bright engineers. They know Windows is a joke. █




⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿
⣿⢰⡎⢉⣹⡉⡟⢩⢨⢩⣽⢩⢹⡏⣶⣎⢩⣽⢉⣹⣭⢍⢩⣽⡏⣭⡯⢭⣿⣔⢊⢏⣉⠍⣽⣉⡏⡍⡍⣿⣧⠟⣼⣉⠋⣽⠋⣏⣙⣭⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿
⣿⠶⡾⣷⣾⣶⣿⣷⣶⣶⢾⡴⣾⣿⣶⣾⣴⣾⣷⣾⢿⣶⣾⣾⣷⣿⣧⣤⣿⣶⣯⣾⣶⣿⣾⣶⣷⣷⣷⣿⣿⣾⣿⣶⣶⣿⣿⣶⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠬⡃⣶⡗⠆⢰⡦⠤⣿⢨⡅⡷⢎⣷⣾⠐⢼⣿⣔⠇⠶⣷⡆⡗⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠿⣿⣿⣿⣿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣾⣾⠿⡿⢿⠿⡿⢿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣶⣌⣔⣣⣟⣑⣜⣠⣃⣚⣼⣭⡿⣇⣸⣆⣿⣁⣟⣻⣁⣗⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠉⠫⡉⢻⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⡛⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣶⣴⣤⣄⣉⣉⡙⠻⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣈⠙⠿⣿⣿⠟⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣈⠙⢠⣦⣶⣤⣌⠙⠛⠟⠛⡿⠿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡿⢿⠿⢿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠾⠿⠿⠿⠿⠧⠴⠤⠦⠤⠦⠦⠄⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠇⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣷⣶⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠉⠙⠻⡿⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣠⣦⣀⣤⣤⡀⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣄⠉⠹⣿⣿⣿⣿⣿⣿⣿⣿⡟⠙⠻⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠏⢀⠁⣈⠙⠋⠻⠃⠀⣴⣄⣉⠉⠻⠛⠁⠀⢻⡿⢿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣠⣄⠀⠀⠀⢨⣿⠿⠟⠻⠿⠿⠟⢿⠿⢿⠿⢿⠿⠿⠄⠀⠘⢿⠿⢷⠾⢦⣴⣿⣿⣿⣿⡇⠀⣴⣿⣷⠀⢀⠈⠙⠃⠘⠋⠃⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣧⣤⣦⣽⢨⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣅⠀⠀⠀⠭⠭⠁⠀⢀⢨⣭⣀⣡⣈⣁⣀⣅⣁⣈⣡⣈⣠⣀⣀⣀⣅⣅⣁⣀⣀⣨⣭⣭⣭⣭⣭⣭⣭⣤⣭⣭⣭⣄⣬⣭⣅⢠⣄⣬⠀⢿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣾⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣏⠩⡉⢹⢘⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⡃⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⡿⢿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⢿⡟⠻⡿⠋⣀⣄⣠⠀⠟⣿⣿⣿⡇⠀⢿⣿⣿⣿⠻⡿⠟⠛⠻⣿⠇⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⢀⣠⣶⡄⠁⢠⣄⣴⣿⣿⣿⣄⡀⠘⠋⠙⠁⣠⣀⠉⠋⢀⣄⣠⣴⣶⣄⣄⡀⣾⣿⣿⣿⣿⣿⣿⣿
⣿⡟⠛⠛⢻⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠁⣀⣤⣾⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣷⣦⣤⣶⣶⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣷⣶⣷⣾⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡟⢀⡀⣀⣀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⡿⢿⠿⠿⠋⢉⣀⣁⣠⣀⢀⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢻⣿⣿⣿⣿⠟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠃⠛⠻⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⡿⢿⠿⠛⠛⠙⠉⣀⣀⣤⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⢸⣿⣿⣿⡇⢸⣏⣝⣉⣟⣏⣹⣛⣋⣹⣻⣉⣉⣏⣉⣹⣹⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⠸⠿⠛⠋⠙⠙⢉⣀⣤⣴⣶⣷⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⣿⣿⣿⣿⣿⣿⣿⠀⡇⠘⠉⢻⣿⣷⣤⣤⣤⣤⠤⠄⠀⡤⠤⣤⡤⠀⠀⠀⠀⠀⠀⠀⠀⢠⡰⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣷⢠⣶⣶⣾⡿⠿⠿⠿⠿⠟⠛⠋⠁⠤⠀⣿⣿⡿⠿⠛⠛⠛⠿⠿⠿⠿⠿⠛⠉⠀⠤⠄⠹⠿⠿⠿⠛⠻⠟⠀⠧⠤⠦⠀⠉⠛⠉⠁⡀⠀⢀⣠⣄⣀⣤⣄⣠⣴⣀⣤⣤⣆⣰⣶⡆⣯⡅⣿⣿⣿⣿⣿⣿
⣿⣿⣤⣦⣤⣤⣤⣤⣤⣄⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⣿⡘⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠟⡻⡟⠻⠻⠿⠻⠿⠿⢿⣿⣿⣿⣿⣿⡿⣛⢿⢟⠟⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⡻⡟⡿⠟⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⡿⣛⢿⢻⠻⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣾⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣷⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣶⣿⣾⣾⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣷⣷⣷⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣷⣷⣿⣾⣾⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣤⣣⣇⣘⣀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣛⣼⣠⣀⣀⣀⣀⣀⣿⣿⣿⣿⣿⣿⣿⣤⣤⣇⣣⣂⣀⣰⣔⣂⣢⣂⣀⣂⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⢛⡏⠿⡿⢿⠿⡿⢿⣟⣓⡻⢿⣿⢿⣿⠿⡿⠿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⣿⣿⣓⣄⣿⣗⣺⣸⣔⣺⣿⣿⣔⣼⣧⣴⣬⣂⣇⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⠭⠛⠏⣻⣿⢽⣩⢋⣝⠭⣿⢿⣿⠛⣟⣻⣯⢽⣭⣯⢹⡭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣾⣷⣿⣷⣾⣾⣶⣾⣷⣿⣿⣽⣶⣿⣿⣷⣿⣶⣷⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣤⣤⣦⣭⣀⣀⣀⣀⣀⣐⠒⠒⠶⠶⢶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣶⣶⣦⣄⣉⣉⠙⢠⣤⣤⣉⡙⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣦⣈⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⡈⠙⠿⣿⡿⠿⢿⡟⢁⣉⡉⠛⠿⠿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⡉⠁⣶⣄⢁⣿⣿⣿⣿⣶⣤⣤⡀⢸⡏⠉⠟⠻⠿⠿⢿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣇⣁⣌⣹⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⢨⠅⣭⣤⣥⣤⣤⣤⣄⣀⠉⢩⠭⢭⠭⢭⣭⡭⢭⣭⣭⣭⣭⣭⣭⣭⣭⣿⣿⣿
⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣰⣄⣤⣄⣁⣠⡈⠻⠿⠟⠛⡟⠻⠿⠿⢻⣿⣿
⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢰⣶⣧⣠⣦⣴⣄⢸⣿⣿
⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠁⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿
⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⡿⢿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿
⣿⣿⣏⣉⣉⡃⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⠀⠀⠀⢘⣛⣓⠀⠀⠀⢘⡋⠐⠂⠐⠂⠀⡂⠒⠀⠒⠀⠀⡃⠃⠀⢀⢐⠀⠂⠀⠁⢀⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⢸⣿⣿
⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠈⠉⠁⠀⢀⣶⣾⣿⣶⣿⣶⣷⣶⣷⣾⣷⣾⣷⣾⣷⣶⣶⣾⣾⣶⣾⣶⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿
⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⣀⠀⢀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿
⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿
⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿
⣿⣿⡟⠟⠛⠇⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢸⣿⣿
⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿
⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿
⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿
⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿
⣿⣿⡿⠿⠿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⡿⢿⣿⣿⣿⢸⣿⣿
⣿⣿⣷⣶⣷⡆⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⠂⠀⣶⣶⣶⣶⣶⣶⣶⣶⣶⡶⠶⠶⠒⠒⠒⠒⠂⣀⣠⣀⣤⣄⣠⣤⣄⢸⣿⣿
⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡿⠀⠀⣿⣿⠋⢁⡈⢉⡉⠉⣉⣠⣤⣤⣶⣾⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿
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⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⠋⠁⢀⠀⠁⣁⠀⢲⣾⣿⣿⣿⣿⣿⡇⢰⡄⠘⠛⢿⣿⣿⣿⡿⠘⠒⠛⠒⠚⠓⠒⠒⠒⠚⠛⠒⠛⠒⠒⠒⠛⠛⠛⠃⣸
⣿⣿⣿⣿⣿⡇⣿⡿⣿⡿⠿⠿⠛⠛⠛⠛⠉⠉⠉⠉⠉⢈⣉⡉⠀⠀⠀⠉⠁⠀⠀⠒⠒⠛⠛⠛⠛⠿⠿⠇⠈⠛⠛⠛⠋⠀⠋⠀⠸⠧⠴⠧⠀⠙⠛⠉⠁⠀⠀⠀⠀⠀⠈⢉⣀⠀⢁⣀⠀⠀⠀⣀⢀⡀⣀⢸⣿⣿
⣿⣿⣿⣤⣦⣥⣤⣤⣤⣤⣄⣀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣮⢻⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢾⡷⣷⣾⢶⣶⢶⢶⣿⣿⣿⣿⣿⣿⡷⢾⡷⠶⠾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⡷⢶⣷⣶⣶⠶⣶⡾⢿⣿⠿⣿⣿⣷⣾⣷⣶⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣹
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣽⣧⣤⣤⣴⣤⣤⣼⣿⣿⣿⣿⣿⣿⣮⣵⣧⣬⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣧⣥⣵⣤⣼⣀⣤⣤⣤⣤⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 922

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/01/03/In_Mexico_Windows_Down_to_All_Time_Low_GNU_Linux_Up_to_All_Time.shtml
    Gemini version at https://techrights.org/n/2025/01/03/In_Mexico_Windows_Down_to_All_Time_Low_GNU_Linux_Up_to_All_Time.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ In Mexico, Windows Down to All-Time Low,
GNU/Linux Up to All-Time High⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jan 03, 2025,
updated Jan 03, 2025


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


On_desktops/laptops:


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


Now toss in the Android users as well and it looks like_this:


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


A LOT more_people are moving to mobile, with some adopting_mobile_as_their
first-ever_computer. It's kind of a new reality and it means that desktops/
laptops aren't the cash cows they used to be. App stores (for mobile) are.


Yesterday we showed that in North America adoption of GNU/Linux is growing
fast. Windows is down to all-time_lows_in_Canada as well, but that's a subject
for the next post. █




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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣾⡿⣿⣿⠀⡆⢸⣿⣿⡿⠀⡀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⡿⣿⠍⠙⠏⠋⠁⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⠁⠀⠠⠁⠀⠈⠀⠀⠇⠘⠁⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢿⣿⣿⠛⠁⠀⠀⠀⠀⠀⣀⢈⣿⡟⠛⠹⠻⠿⠟⠉⠛⠻⠿⠤⢽⣿⣷⣶⣶⣶⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠈⠻⠿⠁⠀⠀⠀⠀⠀⠀⠀⠈⠁⠁⠀⠀⠀⠀⠀⣠⡚⠀⠀⠀⠾⣿⠏⠁⠛⠛⠐⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⡿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⡿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⡇⡿⢯⠑⡂⣧⡒⣏⡰⣶⡎⣶⢼⢰⡆⣿⡇⢿⡗⡇⢶⢸⢐⡊⢰⡞⣒⢰⢰⣿⢰⣦⡇⠒⣾⡷⣭⢻⡹⡰⣔⢲⣶⢐⡂⡇⡆⣶⢸⣿⢰⠋⡄⣗⡂⡇⣶⣏⠰⢐⡂⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⡿⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣼⣿⣿⣿⣿⣿⡧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣼⣿⣿⣿⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣬⡛⡇⣭⢹⢭⢹⢩⡍⣉⣹⣿⢈⠟⣼⣏⣉⣯⠫⡏⡏⣭⣯⣭⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣾⣷⣷⣿⣾⣾⣾⣾⣷⣿⣾⣿⣾⣶⣿⣷⣿⣷⣷⣷⣷⣿⣷⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⡯⠽⢛⢿⣛⢿⣯⡍⢫⡝⢫⡽⠩⢹⣿⣿⡏⣟⣻⢛⣻⣿⡭⠙⣭⢫⡍⡏⠭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣭⣽⣭⣾⣧⣬⣮⣵⣮⣽⣭⣼⣿⣿⣃⣯⣽⣼⣿⣿⣤⣵⣭⣮⣬⣯⣥⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⡛⢟⢟⠟⢻⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣷⣶⣶⣷⣶⡇⠿⠿⠿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣶⣦⣤⣤⣤⣤⣄⠉⠛⠛⠛⠛⠟⠛⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣾⣿⣿⣤⡈⠻⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⣰⣄⠈⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣀⡈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣄⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⡿⠿⠿⢿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠉⠛⢿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⢁⣸⣿⡇⠀⠹⠻⠿⠻⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣶⣾⣿⣶⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠶⠆⠈⠀⠄⠙⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⠁⢀⡀⠃⠈⠀⣿⣿⣿⡇⠀⣠⣦⣀⣀⠉⠛⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢸⣧⣀⡄⠀⣿⣿⣿⡇⠀⣿⣿⣿⣿⣇⠀⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⣿⣿⣿⣧⣼⣿⣿⣿⣇⠀⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢹⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⠿⠿⠿⢿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣤⣮⣦⣤⡇⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡆⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⡿⡿⠿⢿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⡿⡄⣿⣿⣿
⣿⣿⣿⣿⣤⣬⣤⣬⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⡗⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣹⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⡟⣼⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣯⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠁⣰⣤⡆⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⢼⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠀⠀⢀⣴⣾⣿⣿⣿⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣇⣼⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣥⣤⣤⣬⡇⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⠭⠉⡀⢠⠀⣀⣄⠀⢨⣭⣭⣭⣭⣭⠀⢨⣭⣭⣭⣭⣭⣭⣭⣭⠭⣭⣭⣭⣭⣭⡅⣿⠁⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢀⣾⣿⣿⣿⣿⡿⠻⣿⣿⣿⣿⣿⣿⠀⠸⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⠃⠻⢺⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠉⢀⣼⣿⣿⣿⣿⣿⡇⠀⢹⣿⣿⣿⣿⣿⣄⣠⣀⡁⠙⠙⣿⣿⣿⡇⠀⠟⠛⠿⠟⠉⠀⣀⠾⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠉⠉⠁⣀⣤⡾⠋⠛⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⢿⠃⠀⡈⠙⣿⠃⠀⢰⣶⣦⠄⠔⠀⡟⣵⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠛⠛⠛⠉⣁⠀⣤⣶⣶⣿⣿⣿⡏⠀⠁⣰⠀⢻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⠿⠿⠇⠀⠀⠀⠓⠀⠉⠀⠀⠈⠉⠀⢀⠀⠀⣾⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⠉⠉⣉⡀⠉⠀⣀⣤⣴⣶⡤⠤⠤⢴⣶⣶⣾⠟⠉⠹⠿⠟⠛⠉⠁⠠⠾⠿⠿⠄⠈⠙⠉⠙⠉⠙⠀⠸⠶⢾⡀⠉⠉⠉⠀⠀⠀⡀⢀⠀⠀⠀⠀⡠⠒⠐⠒⠉⠉⠉⠀⣼⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣐⣀⣈⣇⣀⣀⣀⣀⢀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣹⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡱⢆⣽⡀⢀⠈⠉⠅⠉⡉⠩⢹⣿⣿⣿⣿⣿⣿⣿⣏⠶⣨⣇⠆⠀⡺⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡱⢆⣽⡸⠈⡅⠨⠉⠩⠙⢉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡿⣿⢿⠿⢿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⢿⡿⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⣿⡿⡿⠿⠿⠿⢿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣥⣾⣼⣤⣧⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣭⣴⣧⣬⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣯⣾⣴⣥⣤⣥⣤⣥⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣛⣻⢩⠍⡏⠛⠛⢻⠋⡋⢛⠉⠙⠛⡋⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣾⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⢿⣿⣿⣿⣿⢻⣿⣿⣿⢿⣿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⡹⣿⠇⡇⡶⢸⢒⣺⢰⡖⡒⣷⣾⢸⢰⡆⡇⢂⣾⣷⡭⢣⠛⡤⡒⡆⣾⢐⣺⢰⡆⣶⣿⣿⣆⢏⣾⢓⡂⡇⣾⢈⢾⢐⣲⢰⣿⣷⡭⢻⣶⣾⢒⢺⣧⣾⢒⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣶⣾⣧⣶⣿⣶⣾⣾⣷⣾⣿⣶⣾⣾⣷⣴⣦⣼⣷⣶⣿⣼⣷⣶⣷⣾⣷⣾⣾⣷⣿⣿⣿⣿⣾⣿⣷⣶⣷⣿⣾⣷⣷⣾⣷⣿⣷⣶⣿⣿⣿⣶⣾⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⡇⢹⢣⣿⠭⢽⡙⣹⢸⣩⣽⣭⡝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣧⣧⣿⣿⣬⣽⣾⣾⣼⣮⣽⣮⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣯⣽⢛⢿⣛⢿⣯⡝⢫⡝⢫⡹⢩⢻⣿⣿⡏⣟⣻⢛⣻⣿⣭⠛⣭⢫⡍⡏⠭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣤⣼⣭⣼⣯⣬⣮⣵⣮⣵⣭⣼⣷⣾⢇⣧⣽⣼⣿⣿⣥⣵⣭⣮⣬⣯⣥⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣷⣾⣾⣿⣶⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣀⣈⣈⠙⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣶⣄⠈⢻⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣧⠈⠁⣀⠀⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⣿⣿⣷⣤⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⡿⡿⡿⢿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣥⣬⣦⣬⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢹⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣼⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⢀⣀⠀⠀⠀⠀⣻⡿⢿⠛⢿⠿⡟⠻⡿⢿⡿⢿⠿⡿⡿⠿⡟⠻⡿⢿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢾⣿⠆⠀⠀⠀⣿⠂⢐⡀⠂⠀⢃⠐⡀⢒⡐⢀⡀⠃⠀⡆⡄⠐⡀⢀⢰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣤⣦⡀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣀⣔⣄⣈⡇⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣥⠀⠭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⡅⠀⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠙⠏⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣀⡄⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⢻⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡇⠀⣿⡿⢿⡿⠛⡿⠋⠉⣿⣿⣿⣿⣿⣿⣿⠃⠈⢿⠟⠿⡛⣿⠀⣿⠀⠸⠿⠉⢻⠀⠀⠀⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⠈⠀⠀⠁⠀⠀⢰⡀⠸⠀⠈⠿⢿⠀⠿⠀⠀⠈⠈⣠⠠⠀⠀⣿⡄⠀⠀⢀⠠⢀⠀⠀⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣋⣉⣉⣙⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠠⢠⣶⠀⢸⣶⣿⣧⠀⢰⡀⡀⠀⢀⠀⠀⢰⠥⣼⣿⠇⠀⠀⣿⡇⡀⣼⣿⣿⣿⣀⡀⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢋⠄⠘⠿⣿⣿⣷⣾⣿⠇⠀⠀⠀⠀⠀⠀⠈⠻⠀⢠⠄⣿⠇⠁⠻⢻⡿⢿⣿⡇⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠡⢀⣄⣠⡄⡄⠠⠌⢻⠿⢿⠋⠀⣠⠀⣄⡀⢀⣆⠀⡀⠀⣿⠀⠁⠀⢀⠀⠀⠀⠀⣿⡇⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠇⢀⣿⣿⣿⣿⣤⣶⣆⡀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣆⣀⣷⣿⣿⣄⣼⠀⠀⠀⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠉⠃⠁⢠⣼⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⣴⣤⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⠍⠩⠉⠙⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠟⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡿⠟⠉⠉⢀⣀⣀⣤⠀⢠⠀⣿⣿⣿⡿⢿⣿⣿⣿⡿⠟⠛⠉⠙⠁⡄⠀⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠏⠀⣾⠿⠉⠙⠿⠛⠿⠛⡿⠿⠁⠈⠉⠁⠀⠀⢠⡤⠀⢸⣿⣿⣿⣶⣿⠀⠘⠉⠀⠁⠀⠉⠉⠟⠃⢠⣶⣾⣷⣾⡇⠀⢻⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠀⠐⠈⠀⠤⠴⠄⠤⠆⠀⠀⠀⠀⠂⢀⣄⣀⣀⣀⠈⡀⠀⠈⠉⠉⠋⠀⠈⠀⠐⠛⠻⠿⣷⣿⣷⣤⡆⠀⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⠿⠿⠿⠛⠻⠛⠛⠉⠉⠉⠉⠉⠉⠉⠁⠀⣀⠤⢀⣤⣤⣤⣤⣤⡤⠖⠀⠋⢀⠀⢿⣿⣿⣿⣿⣿⠁⠀⠀⠉⠀⣾⣿⣿⣦⣤⡶⠀⠀⠀⠀⠘⠛⠁⠀⠀⠀⠀⠈⠀⠀⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⢛⠛⠻⡇⠂⠐⠒⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠈⠉⠀⠉⠀⠉⠀⠈⠀⠘⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣷⣷⣶⣷⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⡛⢿⠛⠛⠻⠿⠟⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⡿⣻⡻⡿⢻⠿⠿⠻⠿⠟⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⡛⢿⢛⡛⢛⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣵⣿⣦⣴⣤⣤⣥⣤⣦⣬⣼⣿⣿⣿⣿⣿⣿⣿⣷⣭⣾⣧⣦⣤⣬⣤⣬⣦⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣵⣿⣮⣤⣴⣥⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡩⠏⣻⠉⠏⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠽⢙⡏⠏⢩⠉⠍⠉⠍⠋⡉⢹⣿⣿⣿⣿⣿⣿⣿⡩⠏⣻⢹⠉⡝⠉⠉⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⡿⣿⣿⣿⡿⡿⣿⠿⢿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣾⣜⣁⣃⣀⣀⣸⣀⣂⣐⣀⣀⣀⣂⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 1087

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/01/03/IRC_Proceedings_Thursday_January_02_2025.shtml
    Gemini version at https://techrights.org/n/2025/01/03/IRC_Proceedings_Thursday_January_02_2025.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ IRC Proceedings: Thursday, January 02,
2025⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jan 03, 2025


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


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


                                              #techrights_log                                                                                           #boycottnovell_log


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


                                         #boycottnovell-social_log                                                                                        #techbytes_log


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


                          Enter_the_IRC_channels_now




⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠿⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣦⣤⣤⣦⣤⣤⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡄⠀⠐⠂⠙⠂⠀⠀⠀⠀⣴⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿⣿⣿⣿⣶⣴⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣶⣄⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣠⣤⣀⠀⠀⠈⠙⠛⠻⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣤⣀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⠀⠀⠤⣶⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣿⣿⣿⣿⣿⣛⠉⠁⠀⠀⠀⢀⣀⣤⣤⣼⣿⣿⣿⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⣉⣛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣛⣛⣛⣛⣻⣩⣥⣤⣀⣀⣀⣀⡀⠀⠀⠉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣶⡶⠴⢾⣿⣿⣿⣿⣿⣿⣿⣿⣛⣻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣋⡉⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠉⠁⠀⠈⠉⠉⠋⠉⠉⠛⠉⠉⠀⠉⠙⠛⠛⣛⣛⣿⣟⣛⡛⠛⠛⠛⠋⠉⠙⠉⠉⠁⠈⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠉⠉⠉⠉⠉⠉⠛⠛⠉⠉⠉⠉⠉⠁⠉⠉⠁⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁
⠀⠀⠀⣀⣀⣒⠲⠷⠶⡤⠤⠀⠀⠤⠴⠶⠿⠿⠿⠿⠿⠿⠟⠳⠶⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐
⠐⠀⠉⠐⠂⠀⠂⠀⠀⠀⠀⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠰⠀⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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                    ䷩ 𝚕𝚒𝚗𝚎 1314

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/01/03/Jeff_Bezos_Washington_Post_Spreads_Political_Propaganda_Against.shtml
    Gemini version at https://techrights.org/n/2025/01/03/Jeff_Bezos_Washington_Post_Spreads_Political_Propaganda_Against.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Jeff Bezos (Washington Post) Spreads
Political Propaganda Against the Internet (and the
Web)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jan 03, 2025,
updated Jan 03, 2025


   🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Amazon_founder_Jeff_Bezos_says_Trump_showed_'grace_and
                courage'_in_response_to_assassination_attempt⦈_


The Bezos Post's apparent_'propaganda_mode' grabbed the attention of hundreds
of thousands of paying subscribers, who canceled their subscription over what
they perceived to be Jeff Bezos meddling or simply saw as Bezos 'endorsing'
Donald Trump, whom he had previously praised ("grace"). The Bezos Post is
basically a national and international disgrace.


Now, based on this_coverage, the propaganda carries on:


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇In_blow_to_Democrats,_federal_appeals_court_strikes_down_net
                                 neutrality⦈_


So now they tell people who identify as "Republicans" to cheer this, as it's a
"blow to Democrats", not a blow to Web users or whatever.


Amazon stands to benefit from it; as an Internet giant (not just AWS), it
doesn't have to worry about "pesky" net neutrality...


Suffice to say, small players stand to lose the most from erosion or complete
withdrawal of net neutrality. They cannot bribe ISPs to prioritise them. GAFAM
can. Sometimes GAFAM does.


"The Washington [Bezos] Post turns Net Neutrality in to a partisan football,"
an associate explains. "Harming Net Neutrality hurts *both* Democrats and
Republicans pretending otherwise is a lie."


Then people wonder why trust in the media has gotten so low. █




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                    ䷩ 𝚕𝚒𝚗𝚎 1406

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

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    Gemini version at https://techrights.org/n/2025/01/03/Meme_Be_a_Good_and_Obedient_Citizen_Use_Microsoft_Windows.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ [Meme] Be a Good and Obedient Citizen. Use
Microsoft Windows.⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jan 03, 2025


 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇'Recall'_told_me_what_sites_you_visit_in_Tor_and_Microsoft
                        gave_me_your_'bitlocker'_key⦈_


Context: In_Hong_Kong_and_Taiwan_People_Flock_to_GNU/Linux_(Unlike_Windows,
GNU/Linux_Doesn't_Capture_Screenshots_of_Everything_You_Do_and_Add_Back_Doors
to_Encryption)


China does not always prosecute dissidents and critics. It sometimes
'disappears' them, extrajudicially killing some of those. We don't hear so much
about it; China does not permit press freedom, either.


Microsoft actively works with China to censor search results and spy on
citizens worldwide (China's clout isn't limited to its homeland anymore).
Microsoft also - owing to infinite incompetence - gives China access to the
most sensitive data of the US government. Any time there's a major security
breach Microsoft blames "China" (which it collaborates with) rather than its
own back doors and lousy security practices. The photo op below was taken after
US-China relations had already deteriorated (and China was backing Russia's
invasions and sabotage in Europe). █


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


This was an article from a propaganda platform of Bill Gates, which has taken
bribes_from_Gates_for_over_a_decade_already. China cuts essential cables in
Europe (underwater warfare) while Gates is all smiles.




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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣭⣥⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⠀⠀⠀⢠⣶⣾⣷⣾⣿⣿⣿⡎⠉⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣙⠛⠛⠛⠿⠷⠦⢀⣠⣼⣿⣿⣿⣿⡏⠀⠀⠀⠀⠉⠛⠛⠿⣿⣿⣿⣷⣤⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⢀⣂⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠤⣦⣦⣤⣀⣀⡀⠈⠉⠛⠛⣉⣽⡇⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠈⠉⠉⠑⠖⣶⣶⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣮⣾⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠟⠉⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣥⣿⣿⠟⠛⠟⠛⠉⠁⠀⠀⠴⣄⠘⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡦⠀⠀⠀⠀⠀⠀⢠⣿⣯⣤⡀⠀⠀⠀⠈⠛⠻⠿⠿⠛⠋⠉⠁⠀⠀⠀⠀⠙⠿⠿⠿⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠾⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠟⠁⣰⣿⣿⣿⣿⣿⣿⢿⡿⠿⣿⣿⣿⣿⣿⣿⣛⠂⠀⠀⠀⠀⠀⠀⠈⠉⠙⠻⠶⡶⠆⠄⠀⠀⠠⠀⣀⣰⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣶⡆⣶⣿⢻⣻⡆⠀⣿⣿⣿⣿⣿⡿⣿⣇⠻⡄⠀⠛⠇⠛⢣⡁⠀⠀⠀⠀⢀⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣷⣿⠿⠸⠿⠇⠀⠸⣿⣿⣿⣿⣿⣌⢿⣄⠁⠀⠀⠀⠀⠀⠀⠀⢠⣴⣾⣿⣿⣿⣷⣦⣄⠈⠻⠶⢤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣛⣛⡛⣛⣻⣟⢲⣤⣀⡤⣄⣤⣤⣠⢶⣽⣿⣷⡾⣿⣿⣦⠹⣦⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⠟⠓⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⡻⣿⣿⡇⣿⣿⢛⣸⣿⡟⣧⣿⣽⣷⢼⣼⣿⣿⣿⣷⣿⣿⣿⣧⡈⠣⡄⠀⠀⠀⡀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠟⠛⠉⠀⠛⠃⠃⠛⠙⠛⠈⠉⠁⢉⣁⠈⣉⢀⡉⣀⡀⠹⣿⣿⣿⣿⣿⣿⣆⠀⣤⣖⣿⣿⣿⣶⣬⣍⣛⣿⣿⣿⣿⣿⣿⣶⣦⣤⣠⣤⣴⣤⣴⣤⣶⠞⠛⠀⠀⣀⣤⣴⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣷⣸⣿⢻⣼⢿⣯⠀⣿⣿⣿⣿⠆⠀⠙⣿⣿⡟⢻⠏⠀⡡⠚⠝⠛⠨⠭⠍⡻⢿⣧⡙⢿⣿⣿⣿⣿⣮⠟⠛⣻⣽⣶⣶⣾⣿⣟⣀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠿⠿⠿⠻⠾⠿⠘⠓⠀⠛⠛⠛⠛⠛⠀⠀⠘⣿⣁⡀⠀⠸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠹⢳⣄⣀⣈⠙⠟⠓⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⢀⣀⣀⣀⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣴⣦⡶⣆⣶⣶⢰⣶⡆⠀⠀⠀⠀⠀⠘⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢌⣿⣿⣿⣿⣷⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠸⣇⡿⢿⣿⢸⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠀⠀⠀⠀⠈⠙⠛⠋⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄
⠀⠀⠀⠀⠀⠀⣀⢀⣀⣀⣀⣀⢀⣤⡀⣤⣄⣤⣠⢤⡤⣴⢶⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠘⢹⣿⣻⡏⢹⡇⣿⢸⣿⡏⣷⣭⢻⣿⣸⣟⢻⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣿⣿⣿⣿⣿⡷⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠸⠛⠃⠛⠘⠃⠛⠋⠛⠁⠉⠉⠈⠉⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡝⠟⠻⠇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⡏⣿⡍⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠐⠀⠀⠂⠀⠀⢮⢹⣿⣿⣿⣿⣿⣿⣿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠷⠿⠦⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣼⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⡇⢰⣿⣿⣿⣿⣿⣿⣿⣿⡇⢿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡇⣸⣿⣿⣿⣿⣿⣿⣿⣿⠃⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣯⠩⢍⡯⣽⢹⡏⣿⡟⣭⣍⣿⡿⢿⢻⡿⣿⢿⢿⢿⣿⢿⠿⡿⡿⣿⢿⢿⢿⠋⡿⣿⢿⣯⡙⢏⣽⢽⣿⣿⠉⡯⣿⢿⡿⡿⢿⢿⢽⡿⣿⢿⢿⠿⣿⣿⡿⡿⡿⣿⣯⢹⣯⣽⠩⢍⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣟⣘⣣⣇⣻⣘⣃⣿⣧⣙⣢⣏⣲⣸⣜⣧⣒⣾⣒⣽⣟⣸⣃⣇⣣⣒⣺⣔⣺⣇⣻⣒⣽⣟⣱⣎⣻⣘⣿⣙⣠⣇⣻⣘⣃⡇⣛⣼⣘⣇⣛⣸⢘⡚⣿⣕⣂⣇⣂⣿⣿⣜⣫⣿⣙⣢⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡿⣻⡟⡟⡿⣿⢻⡿⡿⣿⡿⢿⣿⠟⢿⡿⢿⠿⠿⣿⠿⣿⢻⡿⢿⡿⡿⢿⡿⢿⣿⡿⢿⠟⡿⡿⠿⢿⡿⡿⡿⢿⡿⠿⡿⡷⣾⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣧⣻⣟⣇⣿⣸⣀⣇⣿⣸⣩⣸⣿⣇⣿⣨⣼⣇⣇⣟⣬⣹⣸⣘⣇⣇⣸⣸⣪⣝⣿⣪⣝⣇⣇⣸⣸⣇⣇⣿⣸⣸⣇⣥⣇⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⠿⠿⠿⠿⠿⠿⠿⢿⡿⠿⠿⡿⠿⢿⡿⢿⣿⡿⠿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⠿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⣿⣿⣿⠿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⠂⠀⠀⠃⣤⠀⠀⢿⣷⠀⠀⣧⡀⠰⠁⠈⢿⡄⣰⣬⣽⣿⣿⣿⠿⢛⢭⣿⣦⣽⣶⣩⣿⢹⣿⣯⣿⣿⣿⡟⠋⠀⠀⠈⠐⠉⢊⡟⢿⠿⡟⣗⠟⣻⣺⣿⣿⣓⣿⣿⣿⡟⣖⣫⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣇⣄⡀⠀⠐⢠⡂⠼⠻⡀⠚⠋⢁⡄⠀⠀⠀⣿⡿⣿⣿⣿⣿⣿⣿⣾⣞⣿⡿⣿⣿⣯⣿⣝⢾⡾⠿⠋⣩⠀⠀⣴⣶⣶⣶⣶⣿⡁⢸⣿⣿⣿⣿⣛⣿⢿⣯⣿⣾⣿⣿⡟⣿⣿⣿⣾⣿⣿⣿⣿⣿⣯⣭⣾⣿⣿
⣿⣿⠋⠉⠁⠠⠒⢬⢿⢷⣽⢿⡆⠀⢺⣷⠀⠀⠘⠑⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣷⣶⣿⣻⠁⢸⢿⠭⢹⡟⠭⠿⣧⣼⣿⣿⣿⣿⣿⣿⢿⠿⣿⣿⣷⢘⣟⣿⣿⣯⣭⣟⣿⣿⣿⣿⣿⢟⣻⣿⣿
⣿⣿⠉⠉⠔⠀⠆⠀⢉⡢⠌⠑⠉⠯⠹⠯⠂⠀⠀⢮⣲⣾⣷⣨⣤⣸⣠⣴⣾⣿⣻⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣷⠿⣿⡵⣻⣿⡲⢿⣿⣿⣟⣟⣿⣿⠙⣸⣸⢹⣿⣾⡿⠙⠛⣿⣸⣷⡿⡿⠛⠿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⠀⠀⠀⠀⢴⡁⡀⠒⠁⠀⠀⠀⡀⠀⠴⠂⠠⣼⢿⣿⣿⡛⠽⠝⠻⢹⣿⢿⠹⣿⠛⠛⠋⠙⢻⣿⣿⣿⣿⣿⣇⠀⢈⠒⣐⢂⠀⢠⣷⡿⡟⣿⣿⠀⠩⠀⢨⠿⠿⠁⠀⠀⠈⠘⠀⠀⡀⠀⠀⠻⠿⣿⣿⣿⣿⣿
⣿⣿⠀⠀⠀⠀⠀⠠⠀⠁⠀⠀⠀⠀⠐⠆⣴⡄⠀⠈⢯⡀⠘⠻⣿⣶⡎⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⢈⢻⣽⡿⠟⠋⢀⠉⠳⠶⠛⣠⡇⠀⠂⠀⢢⠂⠀⢀⣀⣤⣶⡀⠀⠀⠀⠀⠀⠒⣦⣤⣴⣄⠀⠀⠛⠛⢻⣿⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⠃⢤⡀⠀⢠⣠⣮⡄⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⠠⠘⠈⠁⠀⠀⠀⢸⣿⡆⢠⣾⣿⡇⠀⠀⠀⠀⠀⠀⠙⠻⣿⠿⢁⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⢂⠀⠀⠀⢸⣿⣿
⣿⣿⣴⣄⠀⠀⠀⠀⠀⠀⠀⠲⠀⠀⠉⠈⠁⠀⠀⠀⠀⠀⠈⠋⠁⠀⠀⠐⠛⠎⠃⣐⡾⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡶⣦⣾⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠂⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣦⠀⠀⢸⣿⣿
⣿⣿⣿⣿⣾⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣤⣤⣤⣤⣤⣾⣴⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⣀⣀⣀⣀⣀⣀⣀⣀⣷⣬⣀⣻⣿⣄⣸⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡟⠛⣛⣋⡛⣋⣋⣛⣛⣛⣛⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⢛⣛⣛⣛⣛⣛⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠆⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣉⣉⣉⣉⣋⣉⣀⣉⣉⣉⣉⣉⣙⠋⢹⣿⣿
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠩⢑⠒⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⡴⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠊⢸⣿⣿
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⠓⠀⠙⠛⠛⠛⠛⠋⠐⠀⠀⠀⢸⣿⣿
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠠⠲⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⠀⠀⠀⠀⠀⢸⣿⣿
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠤⠤⠤⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿
⣿⡇⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠒⠒⠒⠒⠒⠂⠀⠀⠀⠀⠀⠀⢸⣿⣿
⣿⣷⣶⣶⣶⣶⣶⣶⣶⡶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 1535

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

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    Gemini version at https://techrights.org/n/2025/01/03/Meme_Crushing_Free_Speech_Before_Even_Taking_Public_Office.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ [Meme] Crushing Free Speech Before Even
Taking Public Office...⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jan 03, 2025


Context: Bytedance/TikTok_is_a_Threat_to_Freedom,_Including_Free_Speech


Germany and the EU quickly (however belatedly) come to grips with what Social
Control Media - including_Fentanylware_(TikTok) and MElon_X - means to well-
functioning democracy. Meanwhile in the US, however, someone who isn't even
president is already meddling (through SCOTUS) to ensure that Putin- and Xi-
friendly censorship platforms can continue to flourish, "trending" and
basically promoting his agenda.


It's not January 20, it's January 3. The Web's role in undermining the will of
the people never seemed greater. █


       🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Make_XiTok_great_again,_I_guess_I'll_sign_it⦈_




⣷⡀⡈⡇⢿⣿⣼⣇⣿⡏⡇⣷⢹⣾⡇⢋⣴⣾⣿⣿⣿⡟⠻⠛⡿⢿⠛⢿⠿⢿⣟⠛⡛⢛⠛⡻⠿⡟⠻⣿⣿⣿⣶⣬⡙⠧⢻⡇⣿⡇⣿⡇⣿⡷⣿⣿⠠⣿⠀⠀⠀⢀⠀⢠⠆⠈⢯⣛⣻⡿⠿⠓⢺⣯⠉⠀⠀⠀
⣿⡇⠁⢻⢸⣿⣯⣿⢸⣇⣿⣿⢺⠏⣰⣿⣿⣿⣿⣿⣿⡇⡀⠀⠂⠀⠀⠸⠠⢒⡟⢀⠃⢸⠀⡇⠀⡀⠀⢿⣿⣿⣿⣿⣿⡄⢸⡇⢸⡇⣿⡇⣿⡇⣿⣿⢢⣿⠀⡠⠘⠈⠀⠀⠀⠈⠉⠀⡁⠀⠀⠀⢸⣿⠀⠀⠀⠀
⣿⡇⠃⠆⢸⣿⣿⣿⢸⣿⢿⣿⣺⡀⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⢿⠿⣿⠿⡿⢿⣿⠿⡿⠿⢿⠿⡟⠻⠿⣿⣿⣿⣿⣿⣿⡇⢸⣷⢸⡇⣿⡇⣿⡇⣿⣿⠈⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠁⢸⣿⠀⠀⠀⠀
⣿⡇⠇⠢⠞⣿⣿⣿⡏⣿⣸⣿⣿⣧⡘⢿⣿⣿⣿⣿⣿⡀⠀⠀⡆⠀⡐⠀⠀⢸⡗⠅⡇⠇⡖⠁⡇⠀⠀⢸⣿⣿⣿⣿⡟⢁⢸⣿⢸⣿⢸⡇⣿⣷⣿⡇⠀⠃⠀⠀⠀⠀⠀⠘⠚⠿⢆⠀⠀⠀⠀⠀⢸⡿⠀⠀⠀⠀
⣿⠇⠦⠰⠀⢿⣿⣿⣧⣿⣾⣿⣿⣿⣿⢤⡙⠻⢿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⡿⠟⢩⣴⣿⢸⣿⣸⣿⣾⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠄⠄⠈⠀⠀⠀⠀⠀⢸⡗⠀⠀⠀⠀
⣿⠠⠆⠢⢠⢸⣿⣿⣿⢺⡟⣿⣿⣿⢸⣿⣿⣿⣶⣬⣍⣛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⢿⣿⣿⣿⣧⡐⢿⢸⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠂⠀⠀⠀⠀⠀⠿⢦⡀⠐⠀⠀⣀⣀⣀⣼⣧⣴⣶⠶⠆
⣿⠰⠄⠤⠠⡈⣿⣿⣿⢸⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣶⣦⣍⣛⠿⢷⡌⢸⣿⣿⡇⣿⢿⣿⣿⣿⣿⣿⣿⣿⣟⡀⠀⠀⠂⢱⠁⣄⢷⣿⣾⡐⠛⠛⠋⠉⢩⠀⠀⠀⠀⠀
⣿⠰⠄⢤⢠⡄⣽⣿⣿⡏⣿⢿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⢀⣻⢻⡇⣿⡞⣿⣖⣻⣿⣿⣿⣿⣿⡇⠀⢰⣤⣶⢶⡿⠣⠳⣝⡟⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀
⡇⢠⠄⢠⢠⡀⠀⣿⣿⡇⣿⣿⣿⣿⡟⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡞⣿⣾⡇⣿⣧⣿⣿⣿⣿⣿⣿⣿⣶⠃⣼⣿⢿⡟⠈⠁⢠⠅⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀
⣿⣦⠀⣠⠀⣠⡀⠈⣿⣷⢻⣿⣿⡿⡇⣿⣿⠿⢟⣛⣩⣭⣭⣿⣯⣭⣽⣛⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣇⣿⣿⣿⡿⠯⢿⣿⣿⣿⠷⠘⠟⢕⢕⣗⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀
⡟⣿⣷⣄⠀⢻⣿⣆⣿⣿⢸⣷⣿⣿⠿⣫⣴⡎⣿⢛⢻⠛⠻⡛⡟⢻⢛⢿⣿⣷⣍⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡿⣿⣿⣿⣿⡇⢠⠞⠻⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⡀
⣷⠈⠻⣿⣦⠀⠹⣿⣿⣿⡼⣿⣿⢣⣾⣿⣿⣇⣿⡬⣸⣀⣡⣊⣇⣸⣐⣽⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⡇⢿⡇⣿⠸⠋⠀⠀⠀⠀⣾⡟⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⣀⣾⣇⣀⣀⠤⠄
⣿⣦⡀⠙⣿⣷⡀⠙⣿⣿⡇⣿⢡⣿⣿⣿⢹⡉⠉⣿⠛⣻⠻⠛⡟⡛⣿⢻⢹⣿⣿⣿⠚⠛⠋⠙⠛⢿⣿⣿⣿⡇⣿⣷⢸⣷⣿⠀⠀⠀⠀⠀⠄⠸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠉⠉⠉⣻⠀⠀⠀⠀⠀
⣿⣿⣷⣄⠈⢻⣿⣆⠈⣿⡇⣿⡘⣿⣿⣿⣼⣧⣤⣿⣵⣼⣔⣀⣧⣧⣿⣼⣼⣿⡿⠁⠀⠀⠀⠀⠀⠀⢹⣿⣿⣷⣿⣿⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠁⠀⠀⠀⢸⠀⠀⠀⠀⠀
⣿⡇⠻⣿⣦⠀⠻⣿⣦⣿⣷⢸⣧⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠄⠀⣾⣿⣿⣿⣿⣧⢠⣿⣿⣿⣘⣿⢸⣿⠿⠀⠀⠀⠀⠀⢀⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀
⣿⣷⡀⠘⢿⣷⡀⢘⢿⣿⣿⢸⣿⣿⡦⣝⡛⠿⢿⣿⣿⣿⣿⠿⠿⣛⣫⣝⣿⠿⢦⡸⣿⣟⣿⣿⣻⣿⣾⣿⣿⣿⢨⣿⣸⣟⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⠀⠀⠀⠀⠄
⣿⣿⣿⣄⠈⢻⣿⣎⠈⢻⢻⡼⣿⣿⡇⡏⣿⣿⣿⣶⣶⣶⣾⣿⣿⣿⣿⣯⣤⣤⣶⠄⠸⢿⣟⣿⣿⡿⢿⣿⣿⣿⣾⣿⣿⠇⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠄⠄⠀⠀⠀
⣿⣿⠹⣿⣧⠀⠻⣿⣦⡀⢸⡇⣿⣿⣇⣷⣇⠛⠛⠛⢻⣿⣿⣿⢻⣿⡿⠛⠋⠁⠀⠐⣄⠑⢶⣶⣫⠀⠀⠀⠈⠉⠙⠙⠀⠀⠀⢰⣲⣖⣾⣿⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⢻⠶⣿⠓⠒⠒⠒⠒
⣿⣿⣧⠈⢻⣷⡀⠘⢿⣿⡜⡇⣿⣿⣿⣻⣻⣶⣶⣾⣿⣿⣿⢹⠀⠉⠀⠀⠀⠀⠀⠀⢻⣿⠿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠉⡟⠛⢿⣿⡿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠅⠀⠀⠀⣀⣿⠀⠀⠀⠀⠀
⣗⣰⣿⣷⣄⠻⣿⣆⠀⠻⣿⣷⢹⡟⠿⠛⠻⠿⠿⠿⠿⠟⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠆⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠦⠁⠀⠀⠀⠉⠀⢿⣿⣿⠀⠀⠀⣀⠄⠀⠀⠐⠃⠀⠀⠈⠀⠀⠀⣿⠀⠀⠀⠀⠀
⠋⠹⠁⣹⣿⡄⠙⣿⣷⣄⣼⢿⠘⠿⠄⠤⠤⠴⠴⠒⠒⠚⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⢡⣽⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠰⢶⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀
⠀⠀⠀⢸⣿⣿⣆⠈⣻⣿⠋⢸⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⣿⣿⠀⠀⠀⢢⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⣿⠀⠀⠀⠀⠀
⠀⠀⢀⠀⣿⣿⣻⡿⠋⢸⠀⠀⡄⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣿⣿⡅⠀⢺⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⣿⣿⣿⣿⣿⣿⣿⣤⣦⣤⣤⣤
⠀⠀⠀⢀⣿⣿⣿⣿⠀⢸⡄⣾⡇⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡇⠀⠘⠛⠋⠉⠁⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⣿⣿⡿
⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⡇⣿⣷⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡿⠟⢉⠀⠀⡠⠂⠀⠉⢠
⣿⣿⣿⣿⣿⣿⣿⣿⠤⠀⠁⠀⢈⡀⣀⠀⠀⠀⠀⠀⠀⢀⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⣦⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠛⠉⠰⠈⠽⠓⠊⠀⠀⠀⠀⠀
⢿⣿⣿⣿⣿⡿⠿⠽⠷⡶⠞⠓⠚⠓⠚⠒⠒⠒⠲⠶⠾⠿⠿⣿⡖⠲⠒⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠒⠂⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠋⠛⠋⠃⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 1597

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/01/03/Memes_Two_Dictators_Donald_Trump_Loves_TikTok.shtml
    Gemini version at https://techrights.org/n/2025/01/03/Memes_Two_Dictators_Donald_Trump_Loves_TikTok.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ [Memes] Two Dictators. Donald Trump Loves
TikTok.⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jan 03, 2025,
updated Jan 03, 2025


         🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇They_say_my_platform_is_'free_speech'!!⦈_


  🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Vladimir_Putin,_Xi_Jinping_in_military_parade:_I'll_make
                      sure_it_goes_viral_in_TikTok,_ACK⦈_


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


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


              🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Xi_Jinping:_Oh,_no_more_likes?⦈_


  🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Sir_TikTok_has_TikTok_viral_button,_Censor,_Create_phony
                                   scandal⦈_


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


 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Xi_Pooh_Meme:_Thank_you_all_for_making_me_the_most_popular
                   leader,_I_couldn't_do_it_without_y'all⦈_


China is willing to lose as much money as it takes (TikTok/Bytedance does not
profit) to warp perceptions and feelings worldwide and, as Trump is a chronic
consumer of Social Control Media, he has a_"soft_spot"_or_"warn_spot"_for_any
Social_Control_Media_that_helps_him_get_voters, especially from young "addicts"
of Social Control Media. There's_a_clear_bias.


This_is_a_problem. █




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

                    ䷩ 𝚕𝚒𝚗𝚎 2771

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/01/03/Over_at_Tux_Machines.shtml
    Gemini version at https://techrights.org/n/2025/01/03/Over_at_Tux_Machines.gmi

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


posted by Roy Schestowitz on Jan 03, 2025


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Rose_Garden,_Werribee,_Australia⦈_


⚓  Updated This Past Day⠀⇛


   1. ⚓ Another_Celebration_This_Month [original]⠀⇛


           The year started well for us


   2. ⚓ Fedora_and_IBM:_Filipe_Rosset's_Bug_Fixes_and_Mark_J._Wielaard_Shills_a
      Front_Group_of_His_Employer⠀⇛


           Some Red Hat things


      ⚓  New⠀⇛


   3. ⚓ Kernel,_GNU/Linux_Distributions_and_Operating_Systems⠀⇛


           some more leftovers


   4. ⚓ Why_I'm_Not_Sold_on_Linux_Tiling_Window_Managers⠀⇛


           Many hardcore Linux users love tiling window managers meant to
           optimize screen space for productivity


   5. ⚓ Free,_Libre,_and_Open_Source_Software_Leftovers⠀⇛


           FOSS picks for today


   6. ⚓ Security,_Radio,_and_Hardware⠀⇛


           hacking and broadcast


   7. ⚓ Programming_Leftovers⠀⇛


           Development and Debian focus


   8. ⚓ Audiocasts/Shows:_FLOSS_Weekly_and_GAFAM_Discrimination⠀⇛


           2 new episodes


   9. ⚓ today's_howtos⠀⇛


           mostly idroot


  10. ⚓ Games:_Steam_Deck,_Gaming_With_Public_Domain,_and_DOOM⠀⇛


           3 stories for now


  11. ⚓ My_Linux_and_Open_Source_Resolutions_for_2025⠀⇛


           Here's what I have decided for 2025. What are your resolutions


  12. ⚓ Sparky_news_2024/12⠀⇛


           The 12th monthly Sparky project and donate report of the 2024


  13. ⚓ NerdFetch_–_fetch_script_using_Nerdfonts⠀⇛


           NerdFetch is a simple shell script which fetches information
           about your system


  14. ⚓ I_measured_KDE’s_commit_stats_and_the_results_surprised_me!⠀⇛


           Whilst commit numbers aren't a perfect measure of anything
           whatsoever


  15. ⚓ Programming_Leftovers⠀⇛


           Development picks


  16. ⚓ Algol_68_GCC_Front-End⠀⇛


           This WIP is a GCC front-end for Algol 68


  17. ⚓ This_Year_in_Linux,_Liam_Proven_on_Retro,_and_SCALE_22x’s_Colocated
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           today's leftovers


  18. ⚓ today's_leftovers⠀⇛


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  19. ⚓ Free,_Libre,_and_Open_Source_Software_Leftovers⠀⇛


           FOSS links


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           Some of the latest articles


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                          Span from 2024-12-27 to 2025-01-02
      2871 /n/2024/12/26/
           Logseq_privacy_first_platform_for_knowledge_management_and_coll.shtml




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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 2979

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/01/03/Slow_News_But_Not_Slow_for_Us.shtml
    Gemini version at https://techrights.org/n/2025/01/03/Slow_News_But_Not_Slow_for_Us.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Slow News, But Not Slow for
Us⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jan 03, 2025,
updated Jan 03, 2025


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇White,_black_and_gray_bird_walking_on_the_cobblestone_street
in_Ghent,_Belgium⦈_


TODAY is the third_day of the year and tomorrow starts the first weekend of
2025. So far we've kept on target, with more than 20 pages/articles per day or
with over 60 since the year began 56 hours ago. But today we'll take a break to
spend more time with the birds and many coffees in Town. Yesterday we managed
to attract - with food of course - over 40 birds to our home all at the same
time (a new record). Some of them have names (they are distinguishable by looks
and behaviour); most don't.


So far this year (maybe premature to say so because many journalists are still
on holiday) the news is very, very slow. Like, almost literally, each day
there's maybe a handful of real investigative journalism pieces. Yesterday we
noticed that two very large British newspapers, The Independent and Telegraph,
published exactly the same stories (probably licensed off some newswire or
feed). Last year quite a few papers got sold rather than dissolved (almost the
same thing, depending on the buyer) and the Press Gazette wants to tell us that
the "future of media" is LLM slop [1, 2]. We refuse to accept this foolishness
and we'll do our best to produce many stories about technology. █


“What is needed is the right to print what one believes to be true, without
having to fear bullying or blackmail from any side.” – George Orwell


===============================================================================
More from George Orwell:


1. “Man serves the interests of no creature except himself.” – George Orwell


2. “It is not possible for any thinking person to live in such a society as our
own without wanting to change it.” – George Orwell


3. “The nation is bound together by an invisible chain.” – George Orwell


4. “We have now sunk to a depth at which the restatement of the obvious is the
first duty of intelligent men.” – George Orwell


5. “To see what is in front of one’s nose needs a constant struggle.” – George
Orwell


6. “In practice nobody cares whether work is useful or useless, productive or
parasitic; the sole thing demanded is that it shall be profitable.” – George
Orwell


7. “Each generation imagines itself to be more intelligent than the one that
went before it, and wiser than the one that comes after it. This is an
illusion.” – George Orwell


8. “It is this fear of a supposedly dangerous mob that makes nearly all
intelligent people conservative in their opinions.” – George Orwell


9. “In general, the greater the understanding, the greater the delusion; the
more intelligent, the less sane.” – George Orwell


10. “The imagination, like certain wild animals, will not breed in captivity.”
– George Orwell


11. “In a time of deceit telling the truth is a revolutionary act.” – George
Orwell


12. “Think of life as it really is, think of the details of life; and then
think that there is no meaning in it, no purpose, no goal except the grave.
Surely only fools or self-deceivers, or those whose lives are exceptionally
fortunate, can face that thought without flinching.” – George Orwell


13. “Will the man in the street ever feel that freedom of the mind is as
important and as much in need of being defended as his daily bread?” – George
Orwell


14. “The mass of the rich and the poor are differentiated by their incomes and
nothing else, and the average millionaire is only the average dishwasher
dressed in a new suit.” – George Orwell


15. “One does not establish a dictatorship in order to safeguard a revolution;
one makes the revolution in order to establish the dictatorship.” – George
Orwell


16. “There was truth and there was untruth, and if you clung to the truth even
against the whole world, you were not mad.” – George Orwell


17. “Power is in tearing human minds to pieces and putting them together again
in new shapes of your own choosing.” – George Orwell


18. “In all the modern talk about energy, efficiency, social service and the
rest of it, what meaning is there except ‘Get money, get it legally, and get a
lot of it’? Money has become the grand test of virtue.” – George Orwell


19. “It appears to me that one defeats the fanatic precisely by not being a
fanatic oneself, but on the contrary by using one’s intelligence.” – George
Orwell


20. “Such concepts as justice, liberty and objective truth are still believed
in. They may be illusions, but they are very powerful illusions.” – George
Orwell


21. “There are occasions when it pays better to fight and be beaten than not to
fight at all.” – George Orwell


22. “Power is not a means; it is an end.” – George Orwell


23. "Journalism is printing what someone else does not want printed; everything
else is public relations." -Quote is attributed to George Orwell (whose real
name happens to be Eric Arthur Blair), but it seems there's no record of him
actually writing or saying it.


24. “Poverty frees them from ordinary standards of behavior, just as money
frees people from work.” – George Orwell


25. “We know that no one ever seizes power with the intention of relinquishing
it.” – George Orwell


26. “If liberty means anything at all, it means the right to tell people what
they do not want to hear.” – George Orwell


27. “That the choice for mankind lay between freedom and happiness, and that,
for the great bulk of mankind, happiness was better.” – George Orwell


28. “Intellectual honesty is a crime in any totalitarian country; but even in
England it is not exactly profitable to speak and write the truth.” – George
Orwell


29. “We are living in a world in which nobody is free, in which hardly anybody
is secure, in which it is almost impossible to be honest and to remain alive.”
– George Orwell


30. “You just got to say to yourself, ‘I’m a free man in here’ – he tapped his
forehead – ‘and you’re all right’.” – George Orwell


31. “All animals are equal, but some animals are more equal than others.” –
George Orwell


32. “The essence of being human is that one does not seek perfection.” – George
Orwell


33. “In the face of pain there are no heroes.” – George Orwell


34. “Perhaps one did not want to be loved so much as to be understood.” –
George Orwell


35. “Who controls the past controls the future.' 'An intelligent man can
convince himself of anything.” – George Orwell


36. “Here you come upon the important fact that every revolutionary opinion
draws part of its strength from a secret conviction that nothing can be
changed.” – George Orwell


37. “The best books… are those that tell you what you know already.” – George
Orwell


38. “It is the same in all wars; the soldiers do the fighting, the journalists
do the shouting, and no true patriot ever gets near a front-line trench, except
on the briefest of propaganda-tours.” – George Orwell


39. “It’s the one thing they can’t do. They can make you say
anything—anything—but they can’t make you believe it.” – George Orwell


40. “The masses never revolt of their own accord, and they never revolt merely
because they are oppressed. Indeed, so long as they are not permitted to have
standards of comparison, they never even become aware that they are oppressed.”
– George Orwell


41. “In every one of those little stucco boxes, there’s some poor bastard who’s
never free except when he’s fast asleep and dreaming,” – George Orwell


42. “For after all, what is there behind it, except money? Money for the right
kind of education, money for influential friends, money for leisure and peace
of mind, money for trips to Italy. Money writes books, money sells them. Give
me not righteousness, O lord, give me money, only money.” – George Orwell


43. “No one believes more firmly than Comrade Napoleon that all animals are
equal. He would be only too happy to let you make your decisions for
yourselves. But sometimes you might make the wrong decisions, comrades, and
then where should we be? – George Orwell


44. “Poverty is spiritual halitosis.” – George Orwell


45. “The distinguishing mark of a man is the hand, the instrument with which he
does all his mischief.” – George Orwell


46. “If you want to keep a secret, you must also hide it from yourself.” –
George Orwell


47. “No one can get up much enthusiasm for a Government which puts you in jail
if you open your mouth.” – George Orwell


48. “He is a slave with a semblance of liberty which is worse than the most
cruel slavery.” – George Orwell


49. “Faith, hope, money—only a saint could have the first two without having
the third.” – George Orwell


50. “Man is the only creature that consumes without producing… Yet he is lord
of all the animals. He sets them to work, he gives back to them the bare
minimum that will prevent them from starving, and the rest he keeps for
himself.” – George Orwell


51. “On the whole; human beings want to be good, but not too good, and not
quite all the time.” – George Orwell


52. “People can foresee the future only when it coincides with their own
wishes, and most grossly obvious facts can be ignored when they are unwelcome.”
– George Orwell


53. “This is the inevitable fate of the sentimentalist. All his opinions change
into their opposites at the first brush of reality.” – George Orwell


54. “Freedom is the freedom to say that two plus two make four. If that is
granted, all else follows.” – George Orwell


55. “All the war-propaganda, all the screaming and lies and hatred, comes
invariably from people who are not fighting.” – George Orwell


56. “I sometimes think that the price of liberty is not so much eternal
vigilance as eternal dirt.” – George Orwell


57. “Above all, there was a belief in the revolution and the future, a feeling
of having suddenly emerged into an era of equality and freedom.” – George
Orwell


58. “If all others accepted the lie which the Party imposed—if all records told
the same tale—then the lie passed into history and became truth.” – George
Orwell


59. “To die hating them, that was freedom.” – George Orwell


60. “A world in which it is wrong to murder an individual civilian and right to
drop a thousand tons of high explosive on a residential area sometimes make me
wonder whether this earth of ours is not a loony bin made use of by some other
planet.” – George Orwell


61. “In order to hate imperialism you have got to be part of it.” – George
Orwell


62. “Within certain limits, it is actually true that the less money you have,
the less you worry.” – George Orwell


63. “It is curious how people take it for granted that they have a right to
preach at you and pray over you as soon as your income falls below a certain
level.” – George Orwell


64. “For before you can be sure whether you are genuinely in favor of
socialism, you have got to decide whether things at present are tolerable or
not tolerable, and you have got to take up a definite attitude on the terribly
difficult issue of class.” – George Orwell


65. “If you set yourself to it, you can live the same life, rich or poor. You
can still keep on with your books and your ideas. You just got to say to
yourself, ‘I’m a free man in here’. . . and you’re all right.” – George Orwell


66. “You can possess money, or you can despise money; the one fatal thing is to
worship money and fail to get it.” – George Orwell


67. “Men can only be happy when they do not assume that the object of life is
happiness.” – George Orwell


68. “War is peace. Freedom is slavery. Ignorance is strength.” – George Orwell


“The really frightening thing about totalitarianism is not that it commits
“atrocities” but that it attacks the concept of objective truth; it claims to
control the past as well as the future.” – George Orwell


69. “You are free to be a drunkard, an idler, a coward, a backbiter, a
fornicator; but you are not free to think for yourself.” – George Orwell


70. “Looking at the whole world as a whole, the drift for many decades has been
not towards anarchy but towards the reimposition of slavery.” – George Orwell


71. “Doublethink means the power of holding two contradictory beliefs in one’s
mind simultaneously, and accepting both of them.” – George Orwell


72. “If there is hope, it lies in the proles.” – George Orwell




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                    ䷩ 𝚕𝚒𝚗𝚎 3373

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(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/01/03/The_Free_Software_Foundation_Extends_Cutoff_Date_Two_More_Weeks.shtml
    Gemini version at https://techrights.org/n/2025/01/03/The_Free_Software_Foundation_Extends_Cutoff_Date_Two_More_Weeks.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ The Free Software Foundation Extends Cutoff
Date (Two More Weeks), Raises About 330,000
Dollars⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jan 03, 2025


In the first two_days of 2025 the Free Software Foundation (FSF) raised nearly
15,000 dollars per day:


  🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Technological_freedom_is_more_important_than_ever._Your
contribution_helps_us_ensures_we_can_respond_to_new_threats._Donate_to_help_us
                  reach_our_goal_of_$400,000_USD_by_Jan_17.⦈_


So, as expected, the cutoff date was extended to "Jan 17" (see above) and
memberships/donations flow in, far more frequently or a lot faster in fact
since the FSF spoke_about_Microsoft. That really triggered the Microsofters who
keep defaming prominent people from the FSF.


To quote the Free Software Foundation: "What's crucial now is to keep putting
pressure on Microsoft, whether that's through switching to GNU/Linux, avoiding
new releases of their software, or actions as simple as moving your projects
off of Microsoft GitHub."


Isn't it predictable that people who worked for Microsoft GitHub gave money to
some unscrupulous lawyers in London to harass us?


Microsoft... where you get (apparently) murdered_in_your_own_home_for_saying
the_truth to keep the pressure on Microsoft. █




⡼⠧⠤⠤⠤⠤⠤⠤⠤⠤⠬⠿⠿⠿⠿⠿⠿⠭⠭⠽⠿⠿⠿⠭⠭⠭⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠭⠭⠭⠭⠭⠭⠭⠭⠭⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠭⠭⠭⠭⠭⠥⠤⠬⠿⠿⠿⠿⢿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 3436

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Gemini Links 03/01/2025: GNU Emacs Key
Bindings in GNU Midnight Commander's Mcedit and Gemini Editing Setup with
Vim⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jan 03, 2025


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


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


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


          o § Personal/Opinions⠀➾


                # ⚓ 🔤SpellBinding:_EFLNTUV_Wordo:_ABORT⠀⇛


                # ⚓ 📚_The_Night_Circus⠀⇛


                       The Night Circus is a book I had wanted to read for
                       a long time, as an enjoyer of other "magical
                       circus" stories inspired by it. It ended up giving
                       me mixed feelings, and so it was hard write a
                       satisfactory review that captured all that ought to
                       be said. Despite this, I thought it'd be awesome to
                       start a book-review series on my gemlog with this
                       book, and so I'll try my best to reproduce the
                       short review I wrote for it over a year ago.


                # ⚓ I_met_myself⠀⇛


                       When I see you and I start to cry.
                       Its not you.
                       It's your voice. Wonderful and light.
                       It's your breathtaking beauty.
                       It's your quiet laugh that cured me in the darkest
                       days I have ever felt.
                # ⚓ Resolution_January_2nd,_2024⠀⇛


                       The dance-craze of 2024 will be known as "The
                       Tomasino".


          o § Technology and Free Software⠀➾


                # ⚓ censorship_and_tracking⠀⇛


                       A law went into effect in my state where social
                       media sites are essentially banned to any
                       individuals under 16 and pornographic sites are
                       banned to anyone under 18. How do you get around
                       this? Before it was as simple as clicking a button
                       in a modal at the beginning of a session. Annoying,
                       but no big deal.


                       Now the method my state and 16 others mandate is a
                       third-party non-government entity verify an
                       uploaded picture of a government ID, ostensibly
                       uploaded and stored by the pornographic site. Maybe
                       it's the verification site is the one that has to
                       store it. I don't know, but it's a tremendous
                       breach of privacy and anonymity on the Internet.


                # ⚓ Electronic_goals_for_2025⠀⇛


                       Here's the second of my 2025 goal setting posts,
                       this time dealing with "electronic" goals, by which
                       I mean computer-related stuff and radio-related
                       stuff. For starters I guess it goes without saying
                       that any goals I set as part of Operation Blazing
                       Star last year which I didn't achieve get rolled
                       over, and also that Gemini spec finalisation is
                       still ongoing (although with a major previously set
                       deadline near the middle of this year which I'm
                       sure hoping to hit).


                       Computer-wise, I don't want to set anything too
                       ambitious. I have three main goals. The first is to
                       finally "properly launch" Smol Earth in some
                       instead of the domain just hosting a bunch of hand-
                       waving future promises. I have a very concrete plan
                       in mind, it's perhaps much less ambitious than what
                       I originally had in mind but I think it strikes a
                       good balance between doing something which might
                       make some kind of an impact and not wanting to
                       commit myself to any huge obligations or
                       responsibilities on my time. What I have in mind
                       will launch this Earth Day (April 22nd). Some of
                       you will hear about it well before then!


                # ⚓ Using_GNU_Emacs_Key_Bindings_in_GNU_Midnight_Commander's
                  Mcedit⠀⇛


                       I've been playing with the GNU Midnight Commander
                       (mc) lately (I'm editing this post in mc). I've
                       always had a soft spot for orthodox file managers
                       [0] since my DOS days using Norton Commander, and
                       mc has some great features, including remote
                       editing, familiar to anyone who uses GNU Emacs'
                       tramp mode. However, this feature only works with
                       mc's internal editor (mcedit, which can also be
                       used as a very capable standalone editor).


                       However, I've never cared for the default key
                       bindings in mcedit. Old versions of mc could be
                       configured to use Emacs key bindings in the editor
                       preferences, but newer versions have a much more
                       configurable way to change them.


                # § Internet/Gemini⠀➾


                      # ⚓ My_Gemini_Editing_Setup_with_Vim⠀⇛


                             Since Gemini is line-oriented, it means a lot
                             of my usual tricks for editing markdown-like
                             code don't work like I'm used to them
                             working.


                             But I *love* Vim and use it for everything,
                             so I'd like to get it into some kind of
                             working order for Gemini. My first thought
                             was that it couldn't do it and I'd have to
                             try something else. My second, more sensible
                             thought was that Vim has been around forever
                             and there are options for virtually
                             everything and surely it's possible to set
                             this up.


                             ChatGPT was of great assistance in helping
                             identify the options I wanted.


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





                    ䷩ 𝚕𝚒𝚗𝚎 3611

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Links 03/01/2025: Neil Young Drops Out of
Glastonbury and MElon Attacking the Free Press⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█
⌧


posted by Roy Schestowitz on Jan 03, 2025


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


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * Leftovers
          o Science
          o Career/Education
          o Hardware
          o Health/Nutrition/Agriculture
          o Proprietary/Artificial_Intelligence_(AI)
          o Security
                # Privacy/Surveillance
                # Confidentiality
          o Defence/Aggression
          o Environment
                # Energy/Transportation
                # Wildlife/Nature
          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
                # Copyrights
    * § Leftovers⠀➾


          o ⚓ Digital Music News ☛ Neil_Young_Drops_Out_of_Glastonbury,_Calls
            It_A_‘Corporate_Turn-Off’⠀⇛


                 “We will not be playing Glastonbury on this tour because
                 it is a corporate turn-off, and not for me like it used
                 to be,” he concluded, thanking his supporters for seeing
                 him play the festival back in 2009. Young also teased his
                 upcoming tour this year, adding, “Hope to see you at one
                 of the other venues on the tour.” Even with that, Young
                 didn’t elaborate on the specifics as to what the festival
                 organizers allegedly wanted him and his band to do that
                 led to him cancelling. Organizers for Glastonbury and the
                 BBC did not respond to media requests for comment.


          o ⚓ Variety ☛ Neil_Young_Pulls_Out_of_Glastonbury,_Blames_BBC's
            'Corporate_Control'⠀⇛


                 “The Chrome Hearts and I were looking forward to playing
                 Glastonbury, one of my all time favorite outdoor gigs,”
                 Young wrote on his website. “We were told that BBC was
                 now a partner in Glastonbury and wanted us to do a lot of
                 things in a way we were not interested in.”


          o ⚓ RTL ☛ Folk_legend:_Neil_Young_dumps_Glastonbury_alleging_'BBC
            control'⠀⇛


                 Folk legend Neil Young has pulled out of this year's
                 Glastonbury music festival, alleging it has fallen under
                 "the corporate control" of its partner the BBC.


                 The 79-year-old musician, who was once one of the line-up
                 of the supergroup Crosby, Stills, Nash & Young, said he
                 had been "looking forward to playing Glastonbury, one of
                 my all-time favourite outdoor gigs".


          o ⚓ Hindustan Times ☛ Neil_Young_dumps_Glastonbury_alleging_'BBC
            control'⠀⇛


                 But he added that the "BBC... wanted us to do a lot of
                 things in a way we were not interested in" at the
                 festival held in late June in southwest England.


          o ⚓ The Guardian UK ☛ Neil_Young_pulls_out_of_Glastonbury_2025,
            claiming_festival_is_‘under_corporate_control’_of_BBC⠀⇛


                 The 79-year-old Canadian musican wrote a letter on
                 Tuesday on his website, Neil Young Archives, detailing
                 why he and his band the Chrome Hearts were backing out of
                 the music festival, held each year at Worthy Farm in
                 Somerset.


          o ⚓ TwinCities Pioneer Press ☛ Steve_Hoffman_book_'Season_for_That':
            MN_family_relocates_to_France⠀⇛


                 Steve Hoffman was living a very ordinary life in
                 Shoreview when he decided to do something quite
                 extraordinary in 2012 — take a six-month hiatus from his
                 job and move his family to the rural French countryside.


          o ⚓ Common Dreams ☛ Further_|_The_Gävle_Goat_Lives_|_Opinion⠀⇛


                 While the Goat may have originated in Söder, a
                 neighborhood in Stockholm, local historians in Gävle say
                 he was conceived - and drawn on a pastry shop napkin - by
                 their merchants, either ad man Stig Gavlén, trader Harry
                 Ström, or Inga Ivarsson, whose family had already created
                 the world's largest chair and skis so why not a goat.
                 Local firemen grabbed the napkin drawing and ran with it,
                 the highly flammable beginning of "a long, unfortunate
                 relationship between the Gävle Goat and the local fire
                 department." On Dec. 1 in 1966, the first Goat was
                 laboriously put into place; it weighed three tons. On New
                 Year’s Eve, at midnight, the goat went up in flames. The
                 perpetrator was caught and charged with vandalism, but it
                 was the first of many such grim fates for Gävlebocken: In
                 57 years and incarnations, he's survived intact till New
                 Year's Day just 19 times.


          o ⚓ Stefan Zweifel ☛ Recap_2024⠀⇛


                 Another eventful year comes to an end. As it has become
                 tradition, here's my recap of 2024.


          o ⚓ The New Leaf Journal ☛ December_2024_at_The_New_Leaf_Journal⠀⇛


                 Yesterday marked the end of a month and year. As always
                 the end of the month means its time for our (mostly)
                 regular New Leaf Journal month-end review. I would have
                 waited a few more days to publish this but for the fact I
                 am publishing my full 2024 review later today and that
                 article depends in small part on having our December
                 statistics in order.


          o ⚓ The New Leaf Journal ☛ The_81_Most-Visited_Articles_of_2024⠀⇛


                 Welcome to my fifth annual review of the year that was at
                 The New Leaf Journal. I decided to handle our 2024 year-
                 end review a little bit differently than I did for our
                 2020-2023 editions. My year-end reviews count down our
                 most-visited articles of the year (see 2020, 2021, 2022,
                 and 2023 review articles). In this year’s edition, I will
                 work through our 81 most-visited articles from 81 to 1. I
                 settled on 81 because I set a threshold for total number
                 of views for consideration, combined with making the
                 final list divisible by three. Our 81st-ranked article of
                 2024 accrued close to the same number of views as our
                 54th-ranked article of 2023, so I decided to make that
                 the cut-off. Although 2022 still holds the mark for our
                 busiest year, 2024 was our deepest year.


          o ⚓ Michał Sapka ☛ 2024_in_retrospect⠀⇛


                 A good year is a boring year. A great year is a very
                 boring year. I look at future with growing distaste and
                 huge amount of panic. 2024 has bean a good year, as
                 nothing bad happened to me or the closest to me.


                 Here’s to another dull year!


          o ⚓ Jeff Triplett ☛ 🎊_Year_in_review_(short_version)_-_It_was_a_good
            year⠀⇛


                 I love end-of-year posts and reading everyone’s posts.
                 Every year, I draft one, and then I give up on publishing
                 it around March or April after a comically long time. I’m
                 going for shorter than longer this year because a lot
                 happened this year, but most important is how I felt
                 closing 2024 out. Overall, 2024 was a good year despite
                 its many ups and downs.


          o ⚓ Jeremy Cherfas ☛ Monthly_report:_December_2024⠀⇛


                 There's a temptation to review the whole year, not the
                 month, which I shall try to resist.


          o ⚓ Joel Chrono ☛ December_2024_Summary⠀⇛


                 My last monthly summary of 2024! What was I up to this
                 month? Well, a lot!


          o ⚓ Makoism ☛ Espresso_Shots_1-2-25⠀⇛


                 I've dumped all the other interesting links I couldn't
                 get to write about this year below for your reading
                 pleasure so I can start 2025 with my 'queue' empty.


          o § Science⠀➾


                # ⚓ Los Angeles Times ☛ Quadrantids_meteor_shower:_Best_viewing
                  time_for_Southern_California⠀⇛


                       The annual Quadrantids meteor shower is hitting
                       peak visibility, with around 25 meteors per hour,
                       one expert says.


                # ⚓ Science Alert ☛ Dark_Energy_May_Not_Exist:_Something
                  Stranger_Might_Explain_The_Universe⠀⇛


                       There might not be a mysterious 'dark' force
                       accelerating the expansion of the Universe after
                       all. The truth could be much stranger – bubbles of
                       space where time passes at drastically different
                       rates.


                       The passage of time isn't as constant as our
                       experience with it suggests. Areas of higher
                       gravity experience a slower pace of time compared
                       with areas where gravity is weaker, a fact that
                       could have some pretty major implications on how we
                       compare rates of cosmic expansion according to a
                       recently developed model called timescape
                       cosmology.


                # ⚓ The Register UK ☛ Boffins_ponder_meager_brain_data_rate_of
                  10_bits_per_second⠀⇛


                       Why, they ask, does the inner brain process thought
                       at about 10 bits per second while the outer brain –
                       which handles sensory information – operates 100
                       million times faster, at about 10^9 bits per
                       second.


          o § Career/Education⠀➾


                # ⚓ Jamie Zawinski ☛ ISBN⠀⇛


                       My scanning experience so far: Hardbacks: almost
                       all scan. Paperbacks from the 1990s: 80% have the
                       super-sekrit second barcode, the rest have only the
                       useless barcode. Anything earlier than that:
                       nothing at all, have fun manually transcribing a
                       14-digit number in a 6pt font, a task clearly
                       beyond the capabilities of any modern computer.
                       (I'm not doing that.)


          o § Hardware⠀➾


                # ⚓ The Drone Girl ☛ The_best_travel_drones_of_2025⠀⇛


                       When you’re packing for your next adventure, a
                       travel drone might just be your ultimate travel
                       companion. Whether it’s for capturing cinematic
                       landscapes or just upping your Instagram game,
                       travel drones are often the key to leveling up how
                       you document your travels.


          o § Health/Nutrition/Agriculture⠀➾


                # ⚓ Futurism ☛ Babies_Being_Found_in_Dumpsters_After_Texas
                  Abortion_Ban⠀⇛


                       Two years on, the consequences of the Texas
                       abortion ban are almost too grim to contemplate:
                       amidst a surge in infant mortality, babies are
                       being found discarded in dumpsters, ditches,
                       curbsides, and garbage trucks, the Washington Post
                       reports.


                # ⚓ The Washington Post ☛ A_spate_of_abandoned_babies_unsettles
                  Texas_but_prompts_little_action⠀⇛


                       Whether there’s a pattern or common link in these
                       tragedies is not clear. But they’re happening in a
                       state with one of the nation’s most restrictive
                       abortion bans — with no exceptions for rape or
                       incest — and one of the highest birth rates.


                # ⚓ Science Alert ☛ Vagus_Nerve_Stimulation_Shows_Lasting
                  Effects_in_People_With_Severe_Depression⠀⇛


                       While VNS has shown promise for treating depression
                       before, evidence of its success hasn't always been
                       clear cut, leaving treatment difficult to afford
                       for many in the US on insurance cover.


                # ⚓ [Repeat] Silicon Angle ☛ Judge_upholds_most_of_California’s
                  ban_on_‘addictive_feeds’_for_children⠀⇛


                       Tech industry trade group NetChoice has failed to
                       block California’s attorney general from enforcing
                       most of a law that will regulate how social media
                       firms deliver content to young people.


                       The Protecting Our Kids from Social Media Addiction
                       Act (SB 976) was signed into law by Governor Gavin
                       Newsom in September last year. The law is designed
                       to block social media companies from serving
                       “addictive feeds” to minors. This comes at a time
                       of widespread criticism regarding how overuse of
                       social media can harm a young person’s mental well-
                       being.


                # ⚓ Wired ☛ It's_Official:_Boring_Cities_Are_Bad_for_Your
                  Health⠀⇛


                       Their work was widely read by the construction
                       industry yet simultaneously marginalized. It was an
                       inconvenient truth that seemed to contradict
                       mainstream architectural thinking, with its austere
                       and frequently unfriendly aesthetic style. The
                       challenge was that, even though Jacobs and Gehl
                       were highlighting very real problems experienced by
                       specific communities, in the absence of hard
                       evidence, they could only rely on isolated case
                       studies and their own rhetoric to make a point. But
                       the recent availability of sophisticated new brain-
                       mapping and behavioral study techniques, such as
                       using wearable devices that measure our body’s
                       response to our surroundings, means it is getting
                       much harder for the construction industry echo
                       chamber to keep ignoring the responses of millions
                       of people to the places it has created.


                # ⚓ EcoWatch ☛ Fine_Particulate_Matter_Air_Pollution_Linked_to
                  Slower_Marathon_Times⠀⇛


                       Researchers at Brown University School of Public
                       Health have found a link between the amount of fine
                       particulate matter, or pollutants measuring less
                       than 2.5 microns in diameter, in the air on a race
                       day and slower average finish times for marathon
                       runners.


          o § Proprietary/Artificial Intelligence (AI)⠀➾


                # ⚓ New_year,_new_you:_Tango_Gameworks_reborn_as_Tango
                  Gameworks_Inc⠀⇛


                       Tango was shuttered by former owner Microsoft...


                # ⚓ Dolphin Publications B V ☛ Apple_Vision_Pro_production_may
                  have_ended:_is_‘spatial_computing’_dead?⠀⇛


                       In October, it was revealed that Apple was winding
                       down production of its Vision Pro headset. No new
                       units are expected to emerge from here on out. A
                       (much) cheaper model may yet usher in the era of
                       “spatial computing.” We’re not very hopeful,
                       however.


                       In early 2024, the Apple Vision Pro surprised many
                       with its crisp display, intuitive gesture controls,
                       and shockingly high price. The spatial computing
                       headset was launched only in the U.S. for $3,500.
                       It later rolled out to the UK, Australia, France,
                       and Germany, among others, although many other
                       countries have missed the boat. Apple CEO Tim Cook
                       admitted that the Vision Pro was an “early adopter”
                       product, implying that a cheaper model (Apple
                       Vision?) would suit the larger masses – eventually.


                # ⚓ TechSpot ☛ Apple_stops_Vision_Pro_production_amid_weak
                  demand_and_customer_dissatisfaction⠀⇛


                       Apple is believed to have ended production of its
                       Vision Pro headset amid weak demand from customers.
                       The news comes months after a report claimed that
                       the company would wind down manufacture of the
                       much-hyped mixed-reality headset by the end of
                       October.


                # ⚓ Apple_Drops_Vision_Pro_Headset_Production:_End_of_an_Era⠀⇛


                       Recent reports from the industry suggest that Apple
                       has stopped production of its Vision Pro mixed
                       reality headset, launched in February 2024. This
                       decision comes after lower-than-expected sales,
                       despite the device receiving numerous accolades.


                       The Apple mixed reality headset failed to capture
                       the mainstream market, with less than 500,000 units
                       shipped since its launch. Its price of $3,499 for
                       the base model, and a hefty 3999 euros in France,
                       has been a major barrier to adoption. Limited use
                       cases and a still restricted app ecosystem have
                       also contributed to its lackluster performance.


                # ⚓ The Register UK ☛ With_10_months_of_support_remaining,_Win
                  10_still_dominates⠀⇛


                       Even though Windows 11's percentage of the pie is
                       still bigger than it was this time last year (when
                       Statcounter pegged it at 26.54 percent), the fact
                       the new OS is still nowhere near to overtaking
                       Windows 10 may alarm some Microsoft executives.


                # ⚓ Pivot to AI ☛ Facebook:_Who_needs_users?_We_have_AI_slop!⠀⇛


                       Facebook is a dying mall. You go on to talk to your
                       old high school buddies and meet a wall of ads,
                       weird engagement bait vaguely related to your
                       interests, AI slop, and — occasionally — posts from
                       your friends.


                       Daily user numbers on Facebook have been plummeting
                       — enough so that they’ve stopped reporting daily
                       active users in their quarterly filings because the
                       number is no longer going up. The company now
                       reports other spurious numbers to hide the decline.


                # ⚓ Drew Breunig ☛ Beware_the_Cyren’s_Song⠀⇛


                       Sometimes you just want to put a word on something.
                       Crystalize it into a coherent shape so we can talk
                       about it better. Today that word is “Cyren.”


                       A cyren is a bot, masquerading as a human, designed
                       to engage you in a relationship for an ulterior
                       reason. Cyrens may be used to generate subscription
                       revenue, advertising impressions, spread
                       disinformation, or just waste your time. These bots
                       aren’t “honeypots”, because there isn’t an actual
                       human. They’re “cyrens”, portmanteau of “cyber” and
                       of “siren,” the mythical creatures with enchanting
                       voices and irresistible songs that lured passing
                       sailors to their doom.


                       Giving cyrens a name lets us better discuss and
                       consider them, both their benefits and dangers.
                       Recent developments suggest we’ll be needing the
                       help.


                # ⚓ Silicon Angle ☛ Encode_and_the_'godfather_of_AI'_join_Elon
                  Musk's_bid_to_block_OpenAI's_for-profit_switch⠀⇛


                       The youth-led advocacy group that represents people
                       in dozens of countries said today it’s filing an
                       amicus brief in support of SpaceX Corp.’s and Tesla
                       Inc. founder Musk’s ongoing lawsuit, which aims to
                       prevent OpenAI’s metamorphosis. The filing is
                       supported by one of the most prominent individuals
                       in the artificial intelligence industry, the Nobel
                       and Turing prize-winner Geoffrey Hinton (pictured),
                       who is often referred to as the “godfather of AI.”


                       In its brief, Encode argues that OpenAI’s
                       restructuring would undermine its longheld
                       commitment to prioritize public safety when
                       developing advanced AI systems. It adds that
                       OpenAI’s status as a nonprofit provides “essential
                       governance guardrails” that would effectively be
                       eliminated if the company were to transition to a
                       for-profit entity. Instead of being committed to
                       prioritize the interests of humanity, it says it
                       would be legally compelled to balance public
                       benefit with the interests of its investors.


                # ⚓ Silicon Angle ☛ Meta_plans_to_flood_social_media_with_AI-
                  generated_users_and_content⠀⇛


                       Meta Platforms Inc. plans to flood Facebook and
                       other social media platforms with artificial
                       intelligence-powered user profiles, one of its top
                       executives has said.


                       Over the last year, Meta has been developing and
                       promoting various new AI tools across Facebook,
                       Instagram and other sites. It has rolled out AI
                       chatbots in the Messenger app, and in July it
                       launched AI character creation tools that have
                       already been used to create “hundreds of thousands
                       of characters,” according to Connor Hayes, the
                       company’s vice president of product for generative
                       AI.


                # ⚓ International Business Times ☛ Uber_Driver_Exposed_for
                  Using_Fake_Vomit_Photo_to_Scam_Customer_Out_of_£80_Cleaning
                  Fee⠀⇛


                       An Uber driver has been accused of exploiting a
                       photograph of vomit to fraudulently charge a
                       customer an £80 cleaning fee. The shocking incident
                       has sparked outrage, with the victim pledging never
                       to use the ride-hailing service again.


                # § Windows TCO / Windows Bot Nets⠀➾


                      # ⚓ The Record ☛ Japan's_largest_mobile_carrier_says
                        cyberattack_disrupted_some_services⠀⇛


                             The Tokyo-based company said in a statement
                             that its system was targeted by a distributed
                             denial-of-service (DDoS) attack, which floods
                             a network with junk traffic from multiple
                             sources, rendering some services unavailable.


                             From early Thursday morning until late
                             afternoon, local users were unable to access
                             NTT Docomo’s news website, video streaming
                             platform, mobile payment and webmail services
                             and a golf enthusiasts' website. The company
                             reported that access to most services had
                             been restored, although some content updates
                             might still face delays.


                      # ⚓ The Register UK ☛ A_New_Year's_surprise_from
                        Microsoft:_Scanners_stop_working⠀⇛


                             Windows 11 24H2 is still causing problems
                             with multifunction devices despite Microsoft
                             marking an issue with the eSCL scan protocol
                             as resolved.


          o § Security⠀➾


                # § Privacy/Surveillance⠀➾


                      # ⚓ Techdirt ☛ Health_Giant_Ascension_Informs_5.6_Million
                        Patients_Their_Sensitive_Data_Was_Compromised_6_Months
                        Ago⠀⇛


                             I’ve been included in so many hacks I’ve
                             literally lost track of the companies now
                             offering me a year of free credit reporting.
                             Often from credit reporting companies who are
                             also curiously incapable of securing their
                             networks and systems themselves.


                             There are a lot of moving parts here. Our
                             for-profit healthcare system routinely cuts
                             corners on cybersecurity, creating a field
                             day for ransomware attackers. Our lax
                             antitrust reform means health giants
                             routinely prioritize giant, pointless mergers
                             that misdirect attention away from
                             cybersecurity (and health care). Then of
                             course you’ve got a country that’s simply too
                             corrupt to pass a privacy law.


                      # ⚓ The Register UK ☛ Apple_offers_$95M_settlement_in
                        Siri_privacy_lawsuit⠀⇛


                             The class-action case, Lopez et al v. Apple
                             Inc, was brought after a whistleblower at
                             Cupertino alleged in 2019 that Siri was
                             listening in on audio conversations without
                             the requisite "Hey Siri" spoken command or
                             manually activating the voice assistant.
                             Court filings [PDF] reference that California
                             requires consent from both parties for
                             recordings.


                      # ⚓ PC World ☛ The_future_of_VPNs:_Decentralized_and
                        post-quantum_security⠀⇛


                             Virtual private networks, or VPNs, are one of
                             the most effective ways to keep your data
                             private and secure while online. They encrypt
                             and hide our confidential web activity and
                             are a key component in helping us to navigate
                             safely while connected to the [Internet].


                             As VPN usage continues to increase globally
                             these apps are quickly becoming a cornerstone
                             of our online security. Due to this
                             importance, it’s worth looking at what’s in
                             store for the next-gen VPNs to see how
                             they’ll continue to provide us privacy and
                             security into the future.


                      # ⚓ Bruce Schneier ☛ Google_Is_Allowing_Device
                        Fingerprinting_-_Schneier_on_Security⠀⇛


                      # ⚓ Lukasz Olejnik ☛ Biggest_Privacy_Erosion_in_10_Years?
                        On_Google’s_Policy_Change_Towards_Fingerprinting⠀⇛


                             While I once hoped 2017 would be the year of
                             privacy, 2024 closes on a troubling note, a
                             likely decrease in privacy standards across
                             the web. I was surprised by the recent
                             Information Commissioner’s Office post, which
                             criticized Google’s decision to introduce
                             device fingerprinting for advertising
                             purposes from February 2025. According to
                             ICO, this change risks undermining user
                             control and transparency in how personal data
                             is collected and used. Could this mark the
                             end of nearly a decade of progress in
                             [Internet] and web privacy? It would be
                             unfortunate if the newly developing AI
                             economy started from a decrease of privacy
                             and data protection standards. Some analysts
                             or observers might then be inclined to wonder
                             whether this approach to privacy online might
                             signal similar attitudes in other future
                             Google products, like AI.


                             I can confidently raise this question, having
                             observed and analyzed this area for over 15
                             years from various perspectives. My
                             background includes experience in web browser
                             security and privacy, including in
                             standardization. I served in the W3C
                             Technical Architecture Group, and have
                             authored scientific papers on privacy,
                             tracking, and fingerprinting, as well as
                             assessments of technologies like Web APIs.
                             This includes the Privacy Sandbox’s Protected
                             Audience API. I was looking forward to the
                             architectural improvements of web privacy. In
                             other words, I am deeply familiar with this
                             context. The media so far have done a great
                             job bringing attention to the issue, but they
                             frame this development as a controversy
                             between Google’s policy change and the UK
                             ICO’s concerns. I believe that the general
                             public and experts alike would benefit from a
                             broader perspective.


                      # ⚓ 404 Media ☛ Elon_Musk_Uses_Cybertruck_Explosion_to
                        Show_Tesla_Can_Remotely_Unlock_and_Monitor_Vehicles⠀⇛


                             Surveillance capabilities used and justified
                             by extreme circumstances often trickle down
                             to be used on lesser crimes.


                      # ⚓ Security Week ☛ Apple_to_Pay_$95_Million_to_Settle
                        Lawsuit_Accusing_Siri_of_Snoopy_Eavesdropping⠀⇛


                             Apple has agreed to pay $95 million to settle
                             a lawsuit accusing the privacy-minded company
                             of deploying its virtual assistant Siri to
                             eavesdrop on people using its iPhone and
                             other trendy devices.


                      # ⚓ Reuters ☛ Apple_to_pay_$95_million_to_settle_Siri
                        privacy_lawsuit⠀⇛


                             A preliminary settlement was filed on Tuesday
                             night in the Oakland, California federal
                             court, and requires approval by U.S. District
                             Judge Jeffrey White. Mobile device owners
                             complained that Apple routinely recorded
                             their private conversations after they
                             activated Siri unintentionally, and disclosed
                             these conversations to third parties such as
                             advertisers.


                      # ⚓ NPR ☛ Apple_to_pay_$95_million_to_settle_Siri_privacy
                        lawsuit_:_NPR⠀⇛


                             Apple isn't acknowledging wrongdoing in the
                             settlement, which still must be approved by a
                             U.S. District judge. Lawyers in the case have
                             proposed scheduling a Feb. 14 court hearing
                             to review the terms.


                # § Confidentiality⠀➾


                      # ⚓ Noë Flatreaud ☛ Rolling_your_own_crypto⠀⇛


                             Don't. In production, you should use
                             something stable, audited, and updated. But
                             for educational purposes, why not? Just be
                             aware of some key points.


                             Rolling your own crypto might sound like a
                             fun and challenging project, but you first
                             need to understand the risks and complexities
                             involved. In this short post, we'll try and
                             discuss why you should avoid rolling your own
                             crypto for production and provide some
                             guidelines if you decide to do it for
                             educational purposes.


          o § Defence/Aggression⠀➾


                # ⚓ Pro Publica ☛ Donald_Trump_Wants_to_Build_More_Navy_Ships.
                  He_May_Deport_the_Workers_Who_Help_Make_Them.⠀⇛


                # ⚓ NYPost ☛ New_Orleans_terrorist_Shamsud-Din_Jabbar's_Houston
                  mosque,_Masjid_Bilal,_urge_members_to_refer_FBI_inquiries_to
                  CAIR⠀⇛


                       The local mosque in terrorist Shamsud-Din Jabbar’s
                       Houston community has urged its members to avoid
                       speaking with the media and to refer any potential
                       FBI inquiries to the controversial Council on
                       American-Islamic Relations.


                       Masjid Bilal sounded the alarm to congregants in a
                       statement posted to social media on Wednesday
                       addressing Jabbar’s heinous attack on Bourbon
                       Street in New Orleans that left 14 people dead.


                # ⚓ The Hill ☛ Have_there_been_other_ISIS-inspired_attacks_in
                  the_US?⠀⇛


                       The man who drove a truck into a New Orleans crowd
                       on New Year’s Day had recently pledged allegiance
                       to the Islamic State of Iraq and Syria (ISIS),
                       according to the FBI.


                       While most ISIS-linked attacks have occurred in the
                       Middle East and Europe, individuals connected to
                       the militant Islamic group have planned or carried
                       out attacks in the U.S.


                # ⚓ The Washington Post ☛ The_shadow_of_ISIS_will_loom_over_the
                  Trump_presidency⠀⇛


                       Even then, officials in the Trump administration
                       were more sanguine than their boss, telling
                       reporters that ISIS’s territorial losses didn’t
                       mean the group was extinguished and that an
                       enduring mission was needed to keep its militants
                       in check. More than six years later, a detachment
                       of U.S. troops still operates in Syria as part of
                       that continued mission, and may remain as Trump
                       starts his second term later this month. A low-
                       level counterinsurgency carries on — just this past
                       week, separate U.S. and French missile strikes
                       targeted ISIS positions in Syria.


                # ⚓ TMZ ☛ Vet_Says_Ex-Military_Are_Easy_Target_For_ISIS
                  Radicalization⠀⇛


                       He also explains how ISIS preys on people with
                       specific skills and character traits -- like Jabbar
                       and former Special Forces vet Matthew Livelsberger,
                       who carried out the Cybertruck bombing the same
                       day.


                # ⚓ Vox ☛ New_Orleans_attack:_What_does_it_mean_to_join_ISIS_in
                  2025?⠀⇛


                       The deadly attack in New Orleans on New Year’s Eve
                       that left 15 people dead feels like a disturbing
                       reminder of a past era, one when the transnational
                       terrorist organization known as the Islamic State,
                       or ISIS, dominated the nation’s attention and
                       resources.


                # ⚓ Modern Diplomacy ☛ The_Influence_on_European_Union_Politics
                  of_China’s_Expanding_Digital_Presence⠀⇛


                       China’s Digital Silk Road (‘DSR’), an integral
                       component of their Belt and Road Initiative
                       (‘BRI’), seeks to facilitate global digital trade
                       and thereby further solidify China’s position as a
                       leader in digital technology. Although not the
                       first to develop the 5G technology, China has
                       securely positioned itself as the leading global
                       provider with 10 million advance orders recorded as
                       of October 19th 2019.iv Its digital presence in the
                       EU is evident through substantial investment in
                       infrastructure, telecommunications, and technology
                       by Chinese corporations such as Huawei and Tencent,
                       making it a key player in the EU’s digital
                       transformation.v Importantly, the EU-China
                       Agreement on 5G networks, signed in 2015,vi
                       initially indicated cooperative intentions.


                       However, growing concerns have emerged within
                       certain EU States regarding cybersecurity, cyber-
                       espionage, data privacy, infrastructure integrity,
                       and potential financial leverage by China,vii with
                       critics warning that China’s access to the EU’s
                       innovative technologies and economic assets poses
                       risks to its security and policy-making.viii
                       Politically, China’s digital expansion has created
                       divisions within the EU with some member States
                       supporting its technological investments, while
                       others advocate for stricter measures to ensure
                       that “EU Digital Sovereignty” is upheld. This essay
                       examines the influence of China’s digital expansion
                       on the EU’s politics and analyses the resulting
                       policy measures and their broader political
                       implications.


                # ⚓ Defence Web ☛ Commercial_satellites_are_changing_the
                  battlespace_and_the_balance_of_power⠀⇛


                       Speaking on day one of the inaugural Africa
                       Aerospace and Defence (AAD) Conference, organised
                       by defenceWeb, Nel said these aren’t military
                       satellites but civilian ones and they are using
                       Synthetic Aperture Radar (SAR), first developed in
                       1951 to create two dimensional images, to see
                       through day and night, clouds, smoke and even
                       trees, in ways that other technology can’t.


                # ⚓ India Times ☛ Albania_TikTok_ban_sparks_debate_over_freedom
                  of_speech⠀⇛


                       Prime Minister Edi Rama announced the ban on
                       December 21 after a 14-year-old boy was stabbed to
                       death in November by a fellow pupil, a crime that
                       local media reports said occurred after the boys
                       clashed online. TikTok is expected to be taken down
                       in the coming weeks.


                # ⚓ India Times ☛ Social_media_companies_face_global_tug-of-war
                  over_free_speech⠀⇛


                       Already, the president-elect's newly chosen
                       regulators at the Federal Communications Commission
                       and the Federal Trade Commission have outlined
                       plans to stop social media platforms like Facebook
                       and YouTube from removing content the companies
                       deem offensive -- and punish advertisers that leave
                       less restrictive platforms like X in protest of the
                       lack of moderation.


          o § Environment⠀➾


                # ⚓ Silicon Angle ☛ AI-powered_mineral_exploration_company
                  KoBold_Metals_raises_$527M⠀⇛


                       The Series C funding round was co-led by existing
                       investor T Rowe Price and joined by Durable Capital
                       Partners. Other existing backers including
                       billionaire Bill Gates’ Breakthrough Energy
                       Ventures and venture capital group Andreessen
                       Horowitz also participated in the round, along with
                       new investors, including StepStone.


                # § Energy/Transportation⠀➾


                      # ⚓ DeSmog ☛ Midwest_Wins_Funding_for_a_New_Hydrogen_Hub.
                        Not_Everyone_Is_Convinced_It’s_‘Clean.’⠀⇛


                      # ⚓ Dan Langille ☛ Eaton_5PX_console_booting_screen
                        shots⠀⇛


                             I was trying to clear the Replace Battery
                             warning on my UPS after recently replacing
                             the batteries.


                             At present, the warning message has been
                             cleared, I’m not sure how or why.


                      # ⚓ International Business Times ☛ Uber_CEO_Open_To_Tesla
                        Collaboration_Amid_Robotaxi_Race_Because_'Competing
                        With_Elon_Musk_Is_No_Easy_Matter'⠀⇛


                             Uber previously attempted to develop its own
                             driverless cars; however, the project was
                             abandoned in 2020. Since then, Uber has
                             partnered with independent driverless car
                             makers Waymo and Cruise in the US and Wayve
                             in Great Britain.


                      # ⚓ MIT Technology Review ☛ How_wind_tech_hopes_to_help
                        decarbonize_cargo_shipping⠀⇛


                             They’re not alone, of course. Cargo shipping
                             is responsible for about 3% of the world’s
                             annual greenhouse-­gas emissions, and at the
                             current rate of growth, the global industry
                             could account for 10% of emissions by 2050.


                      # ⚓ The Register UK ☛ Schneider_report_looks_at_how_AI
                        energy_demand_may_play_out⠀⇛


                             Policymakers need to carefully guide the
                             future consumption of electricity by AI
                             datacenters, according to a report that
                             considers four potential scenarios and
                             suggests a number of guiding principles to
                             prevent it from spiraling out of control.


                             The research published by energy
                             infrastructure biz Schneider Electric follows
                             the IEA Global Conference on Energy & AI last
                             month. Titled Artificial Intelligence and
                             Electricity: A System Dynamics Approach, it
                             looks at the emerging schools of thought
                             relating to AI and the associated impact on
                             electricity consumption.


                # § Wildlife/Nature⠀➾


                      # ⚓ El País ☛ The_strange_Ethiopian_nectar-eating_wolf:_A
                        predator_that_may_also_act_as_a_pollinator⠀⇛


                             Ethiopian wolves love to roam the flower
                             fields of the Bale Mountains in the south of
                             this African country. Some of them can do so
                             for up to an hour and a half, excited by the
                             bright orange spikes of a plant typical of
                             that area. Attracted by its sweet nectar,
                             they eagerly lick the ripest flowers, while
                             their muzzles become covered in the sticky
                             yellow pollen that tastes like honey. For the
                             first time this behavior, so peculiar for a
                             large predator, has been documented thanks to
                             a study carried out by a team of scientists
                             led by Sandra Lai, a biologist at the
                             University of Oxford (United Kingdom).


          o § AstroTurf/Lobbying/Politics⠀➾


                # ⚓ The Register UK ☛ 20_years_since_Oracle_bought_two_software
                  rivals_in_one⠀⇛


                       Twenty years ago next week, Oracle closed the $10.3
                       billion deal to buy HR and finance software
                       specialist PeopleSoft after a fraught, drawn-out,
                       hostile takeover.


                       It marked the high point in a period of tech
                       industry takeover mania, and the zenith of Oracle’s
                       transition from a database company which also does
                       applications to a business apps giant also present
                       in the database market. Days after its completion,
                       Oracle announced it was laying off around half of
                       PeopleSoft’s workforce.


                # ⚓ The Nation ☛ Beijing_Calls_Washington’s_Bluff_on_Strategic
                  Metals⠀⇛


                       Among the minerals are antimony (which is used in
                       night-vision goggles and bullets), gallium
                       (precision-guided weapons and radar systems), and
                       germanium (powerful sensors that are mounted on
                       tanks, ships and helicopters). Superhard metals
                       like tungsten may also be included in the
                       restrictions, as is graphite, a type of carbon
                       familiar from its use in pencils. Certain types of
                       graphite are used in gun barrels, and others are
                       dispersed on the battlefield as a sort of smoke
                       that confuses electromagnetic wave detection
                       devices.


                # ⚓ The Verge ☛ Meta_appoints_new_Trump-friendly_policy_chief⠀⇛


                       Meta is shaking up its policy team ahead of
                       President-elect Donald Trump’s inauguration, with
                       global policy head Nick Clegg stepping down after
                       seven years at the company. He’ll be replaced by
                       Joel Kaplan, a prominent Republican and Meta’s
                       current vice president of policy.


                       In a post on Facebook, Clegg says it’s the “right
                       time” for him to leave Meta, adding that he’ll
                       spend the next few months “handing over the reins”
                       to Kaplan. “Joel is quite clearly the right person
                       for the right job at the right time — ideally
                       placed to shape the company’s strategy as societal
                       and political expectations around technology
                       continue to evolve,” Clegg says.


                # ⚓ Tom's Hardware ☛ 50%_of_TSMC's_Arizona_employees_are_from
                  Taiwan,_despite_recent_controversies_—_company_plans_to_hire
                  more_US_workers_over_time⠀⇛


                       About half of the 2,200 employees at TSMC's Fab 21
                       in Arizona come from Taiwan. When announcing the
                       project in 2020, TSMC assured the public it would
                       create jobs for locals, so bringing over 1,000
                       employees from Taiwan contradicts the foundry's
                       promise to hire talent from Arizona, which
                       naturally angered unions.


                # ⚓ India Times ☛ Elon_Musk_flummoxes_[Internet]_with_'Kekius
                  Maximus'_persona⠀⇛


                       The billionaire, an advisor to the incoming Trump
                       administration, has been tapped to run the new
                       Department [sic] of Government Efficiency (DOGE),
                       tasked with reducing government spending.


          o § Censorship/Free Speech⠀➾


                # ⚓ Techdirt ☛ Elon_Musk_Doesn’t_Like_Some_Headlines._But_That
                  Doesn’t_Make_Them_Defamatory⠀⇛


                       Musk’s legal threats over these headlines are not
                       just baseless, but dangerous. They show a disregard
                       for free speech and an attempt to intimidate the
                       press. And unfortunately, he’s not alone in pushing
                       this censorial theory.


                # ⚓ Techdirt ☛ Censorial_Citizen_Partially_Prevails_In_Lawsuit
                  Against_Equally_Censorial_Gov’t_Officials⠀⇛


                       There are no winners here. There are only varying
                       levels of losses. The government sustains the most.
                       As it should. When there needs to be an adult in
                       the room, the government bears that responsibility,
                       no matter how irritating the proverbial child might
                       be.


                       That means the most childish person will learn
                       nothing from this experience. But we expect our
                       fellow Americans to be irrational weirdos with
                       absolutely abhorrent views on pretty much every
                       social issue. What we should expect — much less
                       become accustomed to — is the government bringing
                       its weight to bear on people who are more stupid
                       than dangerous.


                # ⚓ Molly White ☛ Elon_Musk_and_the_right’s_war_on_Wikipedia⠀⇛


                       When Elon Musk launched his latest crusade against
                       Wikipedia this Christmas Eve, it wasn’t just
                       another of the billionaire’s frequent Twitter
                       tantrums. His gripes about the community-written
                       encyclopedia expose something far more significant:
                       the growing efforts by America’s most powerful
                       right-wing figures to rewrite and control the flow
                       of information. While Musk’s involvement began with
                       grievances about his own coverage on the website,
                       his recent attacks reveal his growing role in this
                       broader campaign to delegitimize Wikipedia, and the
                       right’s frustration with platforms that remain
                       resilient against such control.


                # ⚓ PC World ☛ Best_VPN_for_Florida:_Pornhub_workarounds⠀⇛


                       This is following a trend that has seen more than a
                       dozen states lose access to the incredibly popular
                       NSFW site. Similar bans occurred in March of this
                       year when access was blocked to residents in Texas,
                       in June when Indiana, Idaho, and Kansas also lost
                       the ability to visit the site, in July for
                       Nebraska, and in October when Alabama was hit the
                       ban hammer as well.


                # ⚓ IT Wire ☛ iTWire_-_ICT_market_revenue_in_Malaysia_to
                  witness_15.5%_CAGR_over_2023-28,_forecasts_GlobalData [Ed:
                  Malaysia, the world's capital of Net censorship]⠀⇛


                       Among the three IT infrastructure
                       segments—hardware, software, and services—the
                       services segment is anticipated to see the highest
                       cumulative revenue growth over the forecast period.
                       This surge will be primarily driven by the strong
                       performance of cloud computing services in terms of
                       revenue which is expected to grow at a CAGR of
                       23.8%, during the forecast period.


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


                # ⚓ CPJ ☛ Al-Qaeda_executes_Yemeni_journalist_after_9_years_of
                  enforced_disappearance⠀⇛


                       “The killing of Mohamed Al-Maqri highlights the
                       extreme dangers Yemeni journalists face while
                       reporting from one of the world’s perilous conflict
                       zones. Enforced disappearances continue to endanger
                       their lives,” said Yeganeh Rezaian, CPJ’s interim
                       MENA program coordinator. “CPJ demands that those
                       responsible for Al-Maqri’s killing be held
                       accountable. It is long overdue for all factions in
                       Yemen to immediately end the abhorrent practice of
                       subjecting journalists to years of enforced
                       disappearance.”


                # ⚓ Techdirt ☛ Court_Tosses_Another_Bogus_Libel_Lawsuit_Brought
                  Against_The_Washington_Post_By_Donald_Trump⠀⇛


                       With the exception of ABC News being weird and just
                       throwing cash at Trump for no apparent reason,
                       every libel lawsuit filed by Donald Trump (or his
                       various business holdings) has failed. This is
                       another one for the loss column. And, despite all
                       these losses, Trump will continue filing lawsuits
                       whenever and wherever there’s a chance to cause
                       some pain, because there’s no national anti-SLAPP
                       legislation in place. With him taking office
                       (again!) this year, there’s no reason to believe
                       we’ll see anti-SLAPP bills go up for a vote for at
                       least the next four years.


                       Trump has sued the Washington Post before,
                       represented by Charles Harder, and it didn’t go
                       well.


                # ⚓ The Dissenter ☛ Asheville_Blade_Journalists_Sue_Over
                  Illegal_Arrests⠀⇛


                       Both journalists appealed their conviction, but
                       their cases remain pending in the North Carolina
                       Court of Appeals.


                       According to the complaint [PDF] filed in the
                       United States District Court for the Western
                       District of North Carolina, Asheville officers
                       violated their First Amendment and Fourteenth
                       Amendment rights to record police activities, to
                       gather and report news in public spaces, to engage
                       in speech and expression critical of government
                       officials, and to equal protection of the laws.”


                # ⚓ Press Gazette ☛ Ex-Computer_Weekly_journalist_given_OBE_for
                  Post_Office_reporting⠀⇛


                       A former Computer Weekly journalist who helped kick
                       off the title’s reporting on the Post Office
                       scandal has been recognised in the King’s New Year
                       honours list for 2025.


                       Rebecca Thomson has been awarded an OBE for
                       services to justice because of her early work on
                       the scandal that saw hundreds of subpostmasters
                       wrongly prosecuted because of the Horizon IT
                       system.


                # ⚓ Digital Music News ☛ Atlanta_Christian_Radio_Station_WFSH-
                  FM_Shutting_Down⠀⇛


                       Salem announced the sale was part of a “strategic
                       decision to exit the contemporary Christian music
                       format” and pay off the entirety of the company’s
                       long-term debt.


          o § Civil Rights/Policing⠀➾


                # ⚓ Techdirt ☛ Oklahoma_AG_Steps_Up_To_Ensure_Cop_Who_Broke_71-
                  Year-Old_Man’s_Neck_Won’t_Face_Criminal_Charges⠀⇛


                       The man, Lich Vu, was definitely much smaller than
                       the cop that assaulted him. He was very definitely
                       much older. A discussion about who was at fault
                       occurred, hampered by Vu’s limited English skills.
                       Vu’s wife came out of where she was working and
                       attempted to help translate, but Officer Gibson
                       chose to escalate past his limited Vietnamese
                       language skills, with the final result of the
                       “interaction” being this:


                       Prosecutors said Vu suffered a brain bleed and a
                       broken neck and eye socket.


                # ⚓ VOA News ☛ VOA_Kurdish:_Three_Kurdish_women_reportedly
                  tortured_in_Turkish_prison⠀⇛


                # ⚓ Omicron Limited ☛ Modern_slavery_is_endemic_in_global
                  supply_chains._Companies_should_be_praised,_not_shamed,_for
                  detecting_it⠀⇛


                       Given these reporting incentives and outcomes, it's
                       hardly surprising that self-detection remains the
                       exception rather than the rule. And while inferring
                       no risk from no detection is reasonable when
                       dealing with rare events, it is not appropriate in
                       the face of an endemic problem like modern slavery.


                       The reporting focus and responsibility needs to be
                       flipped. Disclosures should attract appropriate
                       scrutiny, but not outrage and shame by default.
                       Detection is evidence of a well-functioning due-
                       diligence process. We must avoid shooting the
                       messenger.


                # ⚓ International Business Times ☛ FinTech_Company_to_Begin
                  Drug_Testing_Swedish_Employees_In_January_Ahead_of_IPO_Move⠀⇛


                       Swedish fintech company Klarna has announced plans
                       to introduce randomised drug testing for its
                       employees as part of a wider effort to bolster
                       workplace security [sic]. The move comes as the
                       company prepares for its initial public offering
                       (IPO) in the United States.


                # ⚓ New Yorker ☛ “Mandalas:_Mapping_the_Buddhist_Art_of_Tibet,”
                  Reviewed⠀⇛


                       A millennium ago, India was still a Buddhist
                       headwater. Various schools flowed north and east,
                       to China and Japan, but one, Vajrayana Buddhism,
                       left its richest deposits on the Tibetan Plateau.
                       It’s a nice irony of this show that remoteness can
                       speed up transmission: the Himalayas were
                       uncrossable for a quarter of the year, but
                       travellers needed to get through all the same, and
                       many of them spent months near the southern side of
                       the mountains, waiting out the snow and soaking up
                       Buddhist culture. By the thirteenth century,
                       Vajrayana was close to extinct in its own
                       birthplace, and Tibet, the ex-satellite, had become
                       the new center. Ideologically, too, remoteness
                       worked to the school’s advantage. Its leaders
                       stressed Tantric chanting, ritualized sex, and
                       other secretive practices, but, as Christian
                       Luczanits suggests in an eloquent catalogue essay,
                       they could be flashy about those secrets. Some of
                       the most ravishing works here were painted in
                       distemper on cloth, so that they could be rolled
                       up, transported anywhere, unfurled, and re-hidden
                       the second they started to dazzle.


                # ⚓ VOA News ☛ Zimbabwe_president_signs_death_penalty_abolition
                  into_law⠀⇛


                       Parvais Jabbar, executive director of the London-
                       based NGO called the Death Penalty Project, said
                       Zimbabwe has joined two-thirds of the world that no
                       longer uses capital punishment as a lawful
                       sanction.


          o § Internet Policy/Net Neutrality⠀➾


                # ⚓ New York Times ☛ FCC’s_Net_Neutrality_Rules_Struck_Down_by
                  Federal_Appeals_Court⠀⇛


                       A federal appeals court struck down the Federal
                       Communications Commission’s landmark net neutrality
                       rules on Thursday, ending a nearly two-decade
                       effort to regulate broadband [Internet] providers
                       as utilities.


                # ⚓ The Register UK ☛ Court_decision_kills_net_neutrality_in
                  the_US_yet_again⠀⇛


                       The prolonged fight for net neutrality in America
                       has shifted once again, with the FCC's resurrected
                       regulations struck down by a panel of appeals court
                       judges today.


                       The decision from the 6th Circuit Court of Appeals,
                       filed today, formally killed the FCC's April order
                       that once again classified [Internet] service
                       providers as common carriers required to be
                       impartial in the offering of their services
                       regardless of what a customer was doing online.


                       It's the second time the communications regulator
                       has attempted to pass net neutrality regulations
                       and the second time the rules have been tossed, but
                       the first time federal judges have been the ones to
                       do it.


                # ⚓ The Verge ☛ Net_neutrality_eviscerated_by_appeals_court
                  ruling⠀⇛


                       The three-judge panel ruled that the Federal
                       Communications Commission (FCC) does not have the
                       authority to impose net neutrality rules on
                       [Internet] service providers (ISPs). The FCC sought
                       to reclassify ISPs as common carriers under Title
                       II of the Communications Act in order to impose
                       policies meant to prevent them from discriminating
                       against different [Internet] traffic, like by
                       slowing speeds or blocking content.


                # ⚓ VOA News ☛ US_appeals_court_blocks_Biden_administration
                  effort_to_restore_net_neutrality_rules⠀⇛


                       Net-neutrality rules require [Internet] service
                       providers to treat [Internet] data and users
                       equally rather than restricting access, slowing
                       speeds or blocking content for certain users. The
                       rules also forbid special arrangements in which
                       ISPs give improved network speeds or access to
                       favored users.


                       The court cited the Supreme Court's June decision
                       in a case known as Loper Bright to overturn a 1984
                       precedent that had given deference to government
                       agencies in interpreting laws they administer, in
                       the latest decision to curb the authority of
                       federal agencies. "Applying Loper Bright means we
                       can end the FCC’s vacillations," the court ruled.


                # ⚓ US Court of Appeals, 6th Circuit ☛ IN_RE:_MCP_No._185;
                  FEDERAL_COMMUNICATIONS_COMMISSION,_IN_THE_MATTER_OF
                  SAFEGUARDING_AND_SECURING_THE_OPEN_INTERNET,_DECLARATORY
                  RULING,_ORDER,_REPORT_AND_ORDER,_AND_ORDER_ON
                  RECONSIDERATION,_FCC_24-52,_89_FED._REG._45404,_PUBLISHED_MAY
                  22,_2024. [PDF]⠀⇛


                       3. In sum, mobile broadband does not qualify as
                       “commercial mobile service” under § 332(d)(1) and
                       therefore may not be regulated as a common carrier.


                       III. For these reasons, we grant the petitions for
                       review and set aside the FCC’s Safeguarding Order.


          o § Digital Restrictions (DRM)⠀➾


                # ⚓ Luke Harris ☛ Too_many_subscriptions_(2025_edition)⠀⇛


                       It’s a new year and I’m between jobs, which means
                       it’s doubly important that we eliminate recurring
                       bills we don’t need right now. We can always resub
                       later.


                # ⚓ Jeremy Cherfas ☛ Listen_to_What⠀⇛


                       What this extended exercise did, more than
                       anything, was to remind me of something I have
                       wanted since my first, click-wheel iPod: a way
                       easily to summon up an entire album when one track
                       I like crops up in a playlist. As far as I know,
                       such a thing does not exist.


      § Monopolies/Monopsonies⠀➾


          o § Copyrights⠀➾


                # ⚓ Torrent Freak ☛ TV_Group_Couldn't_Force_U.S._ISPs_to_Block
                  Pirates,_UK_ISPs_May_Offer_Help⠀⇛


                       In 2022, a group of Israel-based TV companies
                       obtained a court order in the U.S. It compelled
                       every ISP in the country to block three resilient
                       pirate sites that blocking in Israel had failed to
                       stop. Intervention by Cloudflare ended that dream
                       and 2.5 years later, despite other measures
                       targeting the sites, it appears that at least one
                       is still going strong. The TV companies are now
                       taking legal action against UK ISPs; they're
                       unlikely to put up a fight, they may not even turn
                       up in court.


                # ⚓ Duke University ☛ January_1,_2025_is_Public_Domain_Day_In
                  The_U.S.⠀⇛


                       On January 1, 2025, thousands of copyrighted works
                       from 1929 will enter the US public domain, along
                       with sound recordings from 1924. They will be free
                       for all to copy, share, and build upon.[2] 2025
                       marks a milestone: all of the books, films, songs,
                       and art published in the 1920s will now be public
                       domain. The literary highlights from 1929 include
                       The Sound and the Fury) by William Faulkner, A
                       Farewell to Arms by Ernest Hemingway, and A Room of
                       One’s Own) by Virginia Woolf. In film, Mickey Mouse
                       speaks his first words, the Marx Brothers star in
                       their first feature film, and legendary directors
                       from Alfred Hitchcock to John Ford made their first
                       sound films. From comic strips, the original Popeye
                       and Tintin characters will enter the public domain.
                       Among the newly public domain compositions are
                       Gershwin’s An American in Paris, Ravel’s Bolero,
                       Fats Waller’s Ain’t Misbehavin’, and the musical
                       number Singin’ in the Rain. Below is just a handful
                       of the works that will be in the US public domain
                       in 2025.[3] To find more material from 1929, you
                       can visit the Catalogue of Copyright Entries.




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