𝕿𝖊𝖈𝖍𝖗𝖎𝖌𝖍𝖙𝖘 Bulletin for Thursday, July 28, 2022
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Generated Fri 29 Jul 02:39:52 BST 2022
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/2022/07/28/


╒═══════════════════ 𝐑𝐄𝐂𝐄𝐍𝐓 𝐁𝐔𝐋𝐋𝐄𝐓𝐈𝐍𝐒 ════════════════════════════════════╕
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╒═══════════════════ 𝐈𝐍𝐃𝐄𝐗 ═══════════════════════════════════════════════════╕

⦿ Antitrust Action Against Microsoft is Well Overdue | Techrights

⦿ Twitter is Dying, Based on Its Own Numbers (Which It Can Barely Fake Anymore, for Fear of Getting Caught by Elon Musk and His Lawyers) | Techrights

⦿ IRC Proceedings: Wednesday, July 27, 2022 | Techrights

 ䷼ Bulletin articles (as HTML) to comment on (requires login):
		http://techrights.org/2022/07/28/antitrust-dual-booting/#comments
		http://techrights.org/2022/07/28/gradual-death-of-twitter/#comments
		http://techrights.org/2022/07/28/irc-log-270722/#comments

 ䷞ Followed by Daily Links (assorted news picks curated and categorised):
		http://techrights.org/2022/07/28/canonical-promoting-microsoft/#comments
		http://techrights.org/2022/07/28/code-of-ethics-at-fsf/#comments
		http://techrights.org/2022/07/28/ventoy-expansion/#comments

                    ䷩ 𝚕𝚒𝚗𝚎 55

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

(ℹ) Images, hyperlinks and comments at http://techrights.org/2022/07/28/antitrust-dual-booting/#comments
    Gemini version at gemini://gemini.techrights.org/2022/07/28/antitrust-dual-booting/

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 07.28.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


Gemini_version_available_♊︎


✐ Antitrust_Action_Against_Microsoft_is_Well_Overdue⠀✐


Posted in Antitrust, Microsoft at 2:52 am by Dr. Roy Schestowitz


     🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇It’s_Time_to_Stop_Dual-Booting_Linux_and_Window⦈_


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


Summary: The solution is to file more antitrust complaints, not simply_accept
Microsoft’s abuses_which_are_disguised_as_"security"; but Microsoft bribes
Canonical to play along and push Ubuntu as “WSL”, so who’s going to file such
complaints?


Related stories:


    * Will_your_computer’s_“Secure_Boot”_turn_out_to_be_“Restricted_Boot”?
    * Microsoft_accused_of_locking_out_Linux_in_EU_antitrust_complaint
    * Linux_users_file_EU_complaint_against_Microsoft
    * 1.4_UEFI…_The_Microsoft_Kill_Switch
    * Matthew_Garrett_makes_noise_about_Lenovo_attacking_GNU/Linux_six_years
      after_accusing_me_of_“spewing_nonsense”_for_taking_action_against_Lenovo.
    * Written_questions_by_Members_of_the_European_Parliament_and_their_answers
      given_by_a_European_Union_institution
    * Written_questions_by_Members_of_the_European_Parliament_and_their_answers
      given_by_a_European_Union_institution (See “E-000162/13 by Amelia
      Andersdotter to the Commission”)
    * UEFI_Secure_Boot_and_European_Union_standardisation
    * Official_EU_document [PDF]
    * Dilbert_Comics_1999
    * Dilbert_Comics_1999 (another one, familiar_pattern)
    * Dilbert_Comics_1997
    * Dilbert_Comics_1997
    * LoJax:_First_UEFI_rootkit_found_in_the_wild,_courtesy_of_the_Sednit_group
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡏⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢠⣤⣤⣤⣤⣤⣤⣤⡤⡤⣤⣤⡤⣤⣤⣤⢤⣤⡤⣤⣤⣤⢤⢤⣤⣤⣤⡤⡤⣤⢤⣤⣤⣤⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠘⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡟⣿⣿⣿⣿⣿⣿⣻⣻⣿⣿⣿⣿⡿⡏⣿⣟⣟⣿⣻⣏⣿⣿⣹⡿⣗⣿⣿⣿⡿⣟⡻⣟⣿⣿⡏⡏⣿⢹⢹⣿⣿⣿⣟⣿⣻⡟⣿⣿⣿⣿⡿⣿⣿⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⡿⡛⣿⣿⡟⣿⣿⡿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣾⣿⣿⣿⣿⣿⣿⣼⣧⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡿⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠉⢿⣿⣿⡿⠀⠀⢸⣿⣿⣿⣿⣿⣽⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢤⣴⣶⣿⣿⣿⠁⠀⠀⢉⣛⣁⡀⠀⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⢷⡀⠀⠀⠀⠀⠈⢠⡀⠘⠿⡶⣤⣙⣿⣿⣿⡻⠀⠀⠀⠀⢉⣿⣝⢧⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠉⠉⡄⠀⡀⠁⠀⠀⠀⠀⠘⣿⣿⣯⣶⣷⣾⣿⣿⣥⣾⡇⠀⠀⠀⢀⣿⣿⣿⣧⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠐⠧⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⢿⢿⣿⣿⣿⣿⠃⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠽⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠘⠛⢅⠙⠛⢿⠏⡿⠋⠀⠀⢰⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡿⠓⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣷⡤⢀⠈⢛⣿⡷⠋⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠈⠛⠛⠛⠛⠻⠻⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠀⠀⠀⠀⠀⢿⣏⣀⣽⡿⠁⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠑⠀⠀⠀⠀⠀⠙⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠁⠁
⠀⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣶⣶⠎⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⠀⠀⠀⠈⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣾⢻⣿⠇⣰⡄⠀⠀⢿⠁⢷⣶⣶⡶⠶⠶⠶⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢠⣶⣦⣤⣶⣶⣦⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣾⣿⠁⠀⠀⠸⣇⠀⠀⠈⠛⠲⠦⠀⡀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠘⠛⠛⠻⠿⠟⠛⠛⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣦⣼⣿⣿⡟⠁⢿⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⣉⣢⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠺⠋⣼⡿⠉⠀⠀⠀⢸⠀⠀⠀⠀⣀⣀⡰⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⢀⣀⣀⣀⣠⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡓⠁⠐⣿⣷⣶⣶⣾⣿⢸⠀⠀⠀⢸⣿⣿⡟⠛⠛⠛⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡾⠒⠴⣿⡿⠛⠉⠉⠁⣼⣶⣤⣴⣾⣋⡉⠀⠀⠀⠈⠻⠿⠿⠟⠉⠉⠉⠉⠛⠛⣿⣿⣿⣿⣿⣿
⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣇⠀⠀⡼⠋⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣄⡀⠀⠈⠉⠉⠉⠉⠉
⠀⠛⠛⠛⠋⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣿⠿⡟⠃⠀⢀⣀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⡿⣿⣿⣷⣦⡀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣦⣄⣀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⡷⠃⠀⠀⠀⠸⣿⣿⣷⣶⣶⣾⡟⡟⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣽⣾⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⢀⠀⣠⣴⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⡷⢿⣿⠿⠾⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠿⢿⣇⠼⠿⠿⢿⣿⠿⠿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠟⠛⣛⡥⠀⠄⠐⣬⠭⠧⠿⡿⡿⢿⡿⠿⢿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣶⡆⣶⣶⣶⠀⣶⣶⡆⣠⣾⡿⣷⣦⡁⣶⣶⣶⣶⣦⠀⣴⣾⣿⣷⣦⢀⣶⣿⢿⣶⡄⢀⣶⣿⣿⣶⡌⢰⣶⣶⣶⣶⣶⣶⣶⣶⡆⣶⣶⣶⣶⣶⣦⣬⣭⣤⣤⣤⣴⣾⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣇⣿⣿⣿⠀⣿⣿⡇⣿⣿⡇⣿⣿⡇⣿⣿⣇⣿⣿⠀⣿⣿⠀⣿⣿⠸⣿⣿⣜⠛⠃⢸⣿⡇⢸⣿⡇⢸⣿⣟⣀⢤⢸⣿⣿⢠⣤⣭⣭⣭⣭⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⣿⣿⡇⣀⣀⡀⣿⣿⡟⣿⣧⠀⣿⣿⠀⣿⣿⠀⠙⠻⣿⣿⣆⢸⣿⡇⢸⣿⡇⢸⣿⡿⠿⣸⢸⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⣿⡟⣿⣿⠀⣿⣿⡇⣿⣿⣇⣿⣿⠇⣿⣿⡇⣿⣿⠀⣿⣿⣀⣿⣿⠘⣿⣿⣸⣿⣿⢸⣿⣇⣸⣿⡇⢸⣿⣿⠈⠉⢸⣿⣿⠘⠛⠛⠛⠛⠛⠛⠛⠿⠿⠿⠿⠿⠿⠿⠿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠃⠛⠃⠛⠛⠀⠛⠛⠃⠈⠛⠛⠛⠋⠀⠛⠛⠃⠛⠛⠀⠈⠛⠛⠛⠁⠀⠙⠛⠛⠛⡁⠀⡙⠛⠛⠋⠀⠘⠛⠛⠀⠀⠘⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣷⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣤⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡟⣿⣿⣿⣿⣿⣿⣻⣻⣿⣿⣿⣿⡿⡏⣟⢟⣟⣿⣻⣏⣿⣿⡹⡿⡗⣿⣿⣿⡿⣟⡻⣟⣿⣿⡏⡏⣿⢹⢹⣿⣿⣿⣟⣿⣿⡟⣿⣿⣿⣿⡿⣿⣿⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣻⣿⡿⡛⣿⣿⡟⣿⣿⡿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣾⣿⣿⣿⣿⣿⣿⣼⣧⣯⣿⣿⣿⣿⣾⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢻⣿⣿⣿⠁⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣤⣤⣶⣾⣿⣿⠀⠈⢉⣛⣁⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⣀⠀⠲⠶⣤⣈⢻⣿⣿⣿⡇⠀⠀⠀⢉⣿⣝⢦⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠉⢁⠀⠀⠘⠀⠀⠀⠀⠀⢰⣿⣦⣳⣾⣦⣿⣿⣿⣩⣿⡅⠀⠀⢀⣿⣿⣿⣆⣽⣿⣻⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⡿⠿⣿⣿⣿⣿⣿⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢛⠀⠿⢿⣿⢛⡿⠃⠀⢠⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣦⠀⠀⠑⢶⣾⡵⠊⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠘⠛⠛⠛⠻⠿⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡀⠀⠀⠀⠀⢸⣧⢀⢈⣿⡟⠁⠀⠀⠀⠀⠀⠀⠘⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠙⠿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠋⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉
⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣶⠂⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠈⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡿⢿⣾⣆⣀⠀⠀⣿⠉⢷⣶⣶⣶⠶⠶⠶⠾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢠⣴⣤⣤⣴⣦⣤⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣴⣿⣿⣿⠏⠀⠀⢸⣇⠀⠀⠉⠛⠶⠤⠀⡀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠘⠛⠻⠿⠿⠿⠿⠿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣦⣼⣿⣿⡿⠋⢻⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⣈⣂⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠋⣹⡿⠉⠁⠀⢀⣸⠄⠀⠀⠀⠀⣀⠠⢶⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⢀⣀⣀⣀⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠘⣿⣷⣶⣶⣿⣿⣿⡆⠀⠀⢸⣿⣿⡿⠛⠛⠛⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣯⣤⠒⠀⣿⣿⡟⠉⠉⠀⣼⣷⣤⣤⣾⣋⠉⠀⠀⠀⠈⠻⠿⠿⠏⠉⠉⠉⠉⠛⠛⣿⣿⣿⣿⣿⣿
⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣏⠀⠀⢰⠟⠉⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣄⣀⠀⠉⠉⠉⠉⠉⠉
⠀⠻⠟⠛⠛⠋⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣿⣿⡟⠓⠐⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣦⣀⡀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⡧⠈⠀⠀⠀⣿⣿⣶⣶⣦⣼⡟⣟⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⡀⣠⣴⣿⣿⣿⣿⣿⠿⠉⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⡿⢯⣿⠼⠾⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⢿⡿⠠⠶⠾⢿⣿⠿⠿⠿⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠟⠛⢛⡫⠀⠄⠠⠬⠭⠇⢿⣿⠿⢿⡿⠿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣶⡆⣶⣶⣶⠀⣶⣶⡆⣠⣾⡿⣷⣦⡁⣶⣶⣶⣶⣦⠀⣴⣾⣿⣷⣦⢀⣶⣿⢿⣶⡄⢀⣶⣿⣿⣶⡌⢰⣶⣶⣶⣶⣶⣶⣶⣶⡆⣶⣶⣶⣿⣭⣭⣭⣭⣭⣭⣥⣤⣾⣾
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣇⣿⣿⣿⠀⣿⣿⡇⣿⣿⡇⣿⣿⡇⣿⣿⣇⣿⣿⠀⣿⣿⠀⣿⣿⠸⣿⣿⣜⠛⠃⢸⣿⡇⢸⣿⡇⢸⣿⣯⣀⢤⢸⣿⣿⢠⣤⣭⣭⣿⣛⣿⣿⣿⣛⣟⣻⣿⣽⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢻⣿⣿⣿⣿⠀⣿⣿⡇⣿⣿⡇⣀⣀⡀⣿⣿⡟⣿⣧⠀⣿⣿⠀⣿⣿⠀⠙⠻⣿⣿⣆⢸⣿⡇⢸⣿⡇⢸⣿⡿⠿⣸⢸⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠸⣿⡏⣿⣿⠀⣿⣿⡇⣿⣿⣇⣿⣿⠇⣿⣿⡇⣿⣿⠀⣿⣿⣀⣿⣿⠘⣿⣿⣸⣿⣿⢸⣿⣇⣸⣿⡇⢸⣿⡟⠈⠉⢸⣿⣿⠘⠛⠛⠛⠛⠟⠛⠟⠿⠿⠿⠿⠿⠿⠿⠿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠃⠛⠃⠛⠛⠀⠛⠛⠃⠈⠛⠛⠛⠋⠀⠛⠛⠃⠛⠛⠀⠈⠛⠛⠛⠁⠀⠙⠛⠛⠛⠁⠀⠙⠛⠛⠋⠀⠘⠛⠛⠀⠀⠘⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣷⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡟⣿⣿⣿⣿⣿⣿⣻⣻⣿⣿⣿⣿⡿⡏⣿⢟⣟⣿⣻⣏⣿⣿⡹⡿⡗⣿⣿⣿⡟⣟⡻⣟⣿⣿⡏⡏⣿⢹⢹⣿⣿⣿⣟⣿⣻⡟⣿⣿⣿⣿⡿⣿⣿⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣻⣿⡿⡛⣿⣿⡟⣿⣿⡿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣾⣿⣿⣿⣿⣿⣿⣼⣧⣯⣯⣿⣿⣿⣾⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢸⣿⣿⡿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣾⣿⣿⠀⠀⢀⣿⣿⣿⣿⣿⣽⣽⣿⣿⠃⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣴⣶⣾⡇⠀⢙⣻⣋⠀⠀⠀⢿⣿⣿⣯⣿⣿⣿⣿⣿⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⡀⠠⢶⣤⣈⠙⣿⣿⣿⡿⡇⠀⠀⢉⣿⣛⣶⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠉⢀⠀⠀⠃⠀⠀⠀⠀⠐⣶⣷⣔⣦⣶⣼⣿⣿⣟⣻⣿⠀⠀⢀⣾⣿⣿⣆⣝⣏⣛⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⢿⠀⠘⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠟⠋⠰⠾⣿⡿⢿⡿⠁⢠⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⡀⠀⠀⠦⣴⣎⡵⠉⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠘⠛⠛⠛⠿⠿⠿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠀⠀⠀⠀⠀⢿⡁⠀⢒⣶⠟⠁⠀⠀⠀⠀⠀⠙⠟⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠈⠻⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠛⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉
⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠈⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⡿⠀⠀⠀⠀⠀⣿⠉⢷⣤⣶⣶⠶⠶⠶⠶⠾⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿
⠀⢀⣤⣤⣤⣤⣤⣤⣤⣤⣤⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡟⣀⣤⣾⣷⠆⠀⢹⡇⠀⠀⠉⠻⠶⠤⡀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠘⠻⠿⠿⠿⠿⠿⠿⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣿⣿⣿⠿⢿⠁⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⣉⣂⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠟⣩⡿⠛⠋⠁⣀⣸⡆⠀⠀⠀⠀⠀⠠⢶⣾⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⣀⣀⣀⣠⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣶⣶⣿⣿⢿⡇⠀⠀⢸⣿⣿⡿⠿⠛⠻⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣜⣠⠀⠀⣿⣿⡿⠉⠀⠀⣼⣧⣤⣤⣾⠏⠉⠁⠀⠀⠈⠻⠿⠿⠿⠛⠋⠉⠉⠛⠛⣻⣿⣿⣿⣿⣿
⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⡁⠀⢠⡾⠋⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣄⣀⠀⠉⠉⠉⠉⠉⠉
⠀⠻⠿⠿⠟⠛⠛⠋⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⠷⠒⠊⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣦⣀⡀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣯⠍⠁⠀⠀⢹⣷⣶⣶⣤⣼⡟⣟⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣽⣿⣿⣽⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⢯⣿⡼⠮⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⢾⡿⠧⠬⠵⣾⣿⡿⠿⠿⠿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠛⠻⠿⢛⣋⠁⠄⠠⠬⠯⠇⢿⣿⠿⠿⡿⠿⣿⣻⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣶⡆⣶⣶⣶⠀⣶⣶⡆⣠⣾⡿⣷⣦⡁⣶⣶⣶⣶⣦⠀⣴⣾⣿⣷⣦⢀⣶⣿⢿⣶⡄⢀⣶⣿⣿⣶⡌⢰⣶⣶⣶⣶⣶⣶⣶⣶⡆⣶⣶⣮⣭⣭⣭⣭⣭⣭⣭⣭⣭⣾⣾
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣇⣿⣿⣿⠀⣿⣿⡇⣿⣿⡇⣿⣿⡇⣿⣿⣇⣿⣿⠀⣿⣿⠀⣿⣿⠸⣿⣿⣜⠛⠃⢸⣿⡇⢸⣿⡇⢸⣿⣏⣀⢤⢸⣿⣿⢠⣤⣽⣟⣛⣛⣛⣛⣛⣛⣛⣛⣿⣭⣿⣾
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢻⣿⣿⣿⣿⠀⣿⣿⡇⣿⣿⡇⣀⣀⡀⣿⣿⡟⣿⣧⠀⣿⣿⠀⣿⣿⠀⠙⠻⣿⣿⣆⢸⣿⡇⢸⣿⡇⢸⣿⡿⠿⣸⢸⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠸⣿⡟⣿⣿⠀⣿⣿⡇⣿⣿⣇⣿⣿⠇⣿⣿⡇⣿⣿⠀⣿⣿⣀⣿⣿⠘⣿⣿⣸⣿⣿⢸⣿⣇⣸⣿⡇⢸⣿⣏⠈⠉⢸⣿⣿⠘⠛⠛⠛⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠃⠛⠃⠛⠛⠀⠛⠛⠃⠈⠛⠛⠛⠋⠀⠛⠛⠃⠛⠛⠀⠈⠛⠛⠛⠁⠀⠙⠛⠛⠛⠁⠀⠙⠛⠛⠋⠀⠘⠛⠛⠀⠀⠘⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣷⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡟⣿⣿⣿⣿⣿⣿⣻⣻⣿⣿⣿⣿⡿⡏⣿⢟⣟⣿⣻⣏⣿⣿⡹⡿⡟⣿⣿⣿⡟⣟⡻⣟⣿⣿⡏⡏⣿⢹⢹⣿⣿⣿⣟⣿⣻⡟⣿⣿⣿⣿⡿⣿⣿⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⡿⡛⣿⣿⡟⣿⣿⡿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣾⣿⣿⣿⣿⣿⣿⣼⣧⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠌⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢻⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⣿⣿⠋⠀⠀⣿⣿⣿⣿⣿⣽⣿⣿⣿⠇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣴⣶⠆⢀⣿⡏⠀⠀⠘⣻⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠐⡅⠀⠀⠀⠀⠀⠀⠀⠀⢤⣤⣌⠙⢿⣿⣿⣿⣿⠀⠈⢙⣿⣛⣿⡊⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠃⡀⠀⠘⠀⠀⠀⠀⠀⢴⣾⣆⢦⣤⣏⣿⣾⣿⠟⣳⡎⠀⠀⣾⣿⣿⣆⣵⣯⣹⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠰⣷⠀⠓⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠿⠋⣶⣿⣿⡿⣿⡿⢠⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⠀⠀⠠⣤⣬⢏⡔⠋⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠘⠻⠿⠿⠿⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡟⠀⠐⢤⣾⠟⠁⠀⠀⠀⠀⠙⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠀⠀⠀⠀⠀⠹⣶⣶⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠛⠛⠃⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉
⠉⠉⠙⠛⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠋⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢿⣿⠀⠀⠀⠀⠀⢿⠉⢷⣤⣴⣶⡶⠶⠶⠶⢶⣿⣿⣿⣿⣷⣶⣶⣶⣿⣿⣿⣿
⠀⢀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣸⠏⣀⣤⣦⣄⠀⢸⡇⠀⠀⠉⠻⠶⠤⡀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠘⠿⠿⠿⠿⠿⠿⠿⢿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣼⣿⣿⣿⣿⢿⠟⠁⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⣉⣢⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡿⢛⣿⠟⠛⠉⢀⣸⡇⠀⠀⠀⠀⠀⠠⣴⣾⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⢀⣀⣀⣀⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣶⣶⣾⣿⣿⡗⠀⠀⢸⣿⣿⡿⠾⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣀⡀⠀⢸⣿⣿⠏⠉⠀⢸⣧⣤⣤⣾⠟⠋⠁⠀⠀⠀⠻⡿⠿⠿⠛⠛⠉⠙⠛⠛⣻⣿⣿⣿⣿⣿
⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⡋⠀⢀⣾⠟⠁⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣄⡀⠀⠉⠉⠉⠉⠉⠉
⠀⠻⣿⠿⠿⠛⠛⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⡿⠦⠐⠁⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣷⣶⣶⣤⣀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⡍⠉⠁⠀⠸⣶⣶⣤⣤⣴⡟⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣻⣿⣾⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣰⣾⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⢯⣿⣽⡮⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢶⣾⠿⠴⠷⣶⣿⡿⠿⠿⠿⠿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠘⠻⠿⢟⣛⠁⠈⠠⠼⠿⠇⢿⣿⠿⠿⡿⢿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣶⡆⣶⣶⣶⠀⣶⣶⡆⣠⣾⡿⣷⣦⡁⣶⣶⣶⣶⣦⠀⣴⣾⣿⣷⣦⢀⣶⣿⢿⣶⡄⢀⣶⣿⣿⣶⡌⢰⣶⣶⣶⣶⣶⣶⣶⣶⡆⣬⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣽⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣇⣿⣿⣿⠀⣿⣿⡇⣿⣿⡇⣿⣿⡇⣿⣿⣇⣿⣿⠀⣿⣿⠀⣿⣿⠸⣿⣿⣜⠛⠃⢸⣿⡇⢸⣿⡇⢸⣿⣏⣀⢤⢸⣿⣿⢠⣴⣿⣛⣛⣛⣛⣛⣻⣻⣟⣛⣿⣯⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢻⣿⣿⣿⣿⠀⣿⣿⡇⣿⣿⡇⣀⣀⡀⣿⣿⡟⣿⣧⠀⣿⣿⠀⣿⣿⠀⠙⠻⣿⣿⣆⢸⣿⡇⢸⣿⡇⢸⣿⡿⠿⣸⢸⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠸⣿⡟⣿⣿⠀⣿⣿⡇⣿⣿⣇⣿⣿⠇⣿⣿⡇⣿⣿⠀⣿⣿⣀⣿⣿⠘⣿⣿⣸⣿⣿⢸⣿⣇⣸⣿⡇⢸⣿⡟⠈⠙⢸⣿⣿⠘⠛⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠃⠛⠃⠛⠛⠀⠛⠛⠃⠈⠛⠛⠛⠋⠀⠛⠛⠃⠛⠛⠀⠈⠛⠛⠛⠁⠀⠙⠛⠛⠛⠁⠀⠙⠛⠛⠋⠀⠘⠛⠛⠀⠀⠘⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣧⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⣿⣿⣿⡇⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡟⣿⣿⣿⣿⣿⣿⣻⣻⣿⣿⣿⣿⡿⡏⣿⢟⣟⣿⣻⣏⣿⣿⡹⡿⡟⣿⣿⣿⡟⣟⡻⣟⣿⣿⡏⡏⣿⢹⢹⣿⣿⣿⣟⣿⣻⡟⣿⣿⣿⣿⡿⣿⣿⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⡿⡛⣿⣿⡟⣿⣿⡿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣾⣿⣿⣿⣿⣿⣿⣼⣧⣯⣯⣿⣿⣿⣾⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⠝⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠘⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠇⠀⠀⣿⣿⣿⣿⣿⣿⣽⣿⣿⠇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣴⠀⢘⡋⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⢠⡆⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠙⠿⣿⣿⣿⣿⡟⠀⢙⣿⡛⣧⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠃⡀⠀⠓⠀⠀⠀⠀⠠⣤⣦⡠⣈⣭⢱⣶⣿⣿⠿⣽⠇⠀⣾⣿⣿⣎⣑⣆⢙⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⢸⡇⠼⠂⠀⠀⠀⠀⠀⠹⣿⣷⣾⣿⣿⣿⣿⣿⣾⣿⣥⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠟⢩⣽⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⢀⣉⣽⢋⡜⠋⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠘⠻⠿⠿⠿⠿⠿⠿⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠃⠀⠤⣤⣿⠗⠉⠀⠀⠀⠹⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠀⠀⠀⠀⠐⢷⣴⣼⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⠟⠻⠃⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉
⠉⠉⠙⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡿⠁⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢾⣿⣀⠀⠀⠀⠀⣿⠉⢷⣤⣤⣤⣶⠶⠶⠶⢶⣾⣿⣿⣿⣷⣶⣶⣶⣾⣿⣶⣶
⠀⢀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⢾⠟⢀⠀⠀⠀⢹⡆⠀⠀⠉⠳⠦⢤⡀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠘⠿⠿⠿⠿⠿⠿⠿⢿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣰⣿⣿⣥⣤⣾⣾⣶⠄⠀⠛⠀⠀⠀⠀⠀⠀⠀⣙⣂⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠟⣿⠿⠟⠛⢉⣹⡏⠀⠀⠀⠀⠀⠠⣴⣶⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⣀⣀⣀⣀⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣶⣶⣾⣿⣿⡟⠀⠀⢰⣿⣿⡿⠾⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⡀⠀⠸⣿⣿⡟⠉⠀⢸⣧⣤⣤⣾⠿⠋⠁⠀⠀⠈⠻⣿⣿⡟⠛⠛⠋⠛⠛⠛⣻⣿⣿⣿⣿⣿
⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣮⡎⠁⠀⣴⡿⠋⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣄⣀⠀⠉⠉⠉⠉⠉⠉
⠀⢻⣿⢿⠿⠿⠛⠛⠛⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⠦⠤⠋⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣟⠛⠉⠀⠀⣶⣶⣤⣤⣰⡟⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣿⣿⣿⣿⣿⣿⣻⣿⣮⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣯⣿⣽⣮⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣶⠾⠃⠴⣤⣶⡿⠿⠿⠿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠈⠛⠿⢿⣛⠁⠈⠀⠴⠾⠇⢿⣿⠿⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣶⡆⣶⣶⣶⠀⣶⣶⡆⣡⣾⡿⣷⣦⡁⣶⣶⣶⣶⣦⠀⣰⣾⣿⣷⣦⢀⣶⣿⢿⣶⡄⢉⣶⣿⣿⣶⡌⢰⣶⣶⣶⣶⣶⣶⣶⣶⡆⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣽⣷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣇⣿⣿⣿⠀⣿⣿⡇⣿⣿⡇⣿⣿⡇⣿⣿⣇⣿⣿⠀⣿⣿⠀⣿⣿⠸⣿⣿⣜⠛⠃⢸⣿⡇⢸⣿⡇⢸⣿⣏⣀⢤⢸⣿⣿⢀⣐⣛⣛⣛⣛⣛⣛⣻⣻⣟⣟⣻⣿⣭⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢻⣿⣿⣿⣿⠀⣿⣿⡇⣿⣿⡇⣀⣀⡀⣿⣿⡟⣿⣧⠀⣿⣿⠀⣿⣿⠀⠙⠻⣿⣿⣆⢸⣿⡇⢸⣿⡇⢸⣿⡿⠿⣸⢸⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠸⣿⡟⣿⣿⠀⣿⣿⡇⣿⣿⣇⣿⣿⠇⣿⣿⡇⣿⣿⠀⣿⣿⣀⣿⣿⠘⣿⣿⣸⣿⣿⢸⣿⣇⣸⣿⡇⢸⣿⡟⠘⠛⢸⣿⣿⠘⠛⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠃⠛⠃⠛⠛⠀⠛⠛⠃⠈⠛⠛⠛⠋⠀⠛⠛⠃⠛⠛⠀⠈⠛⠛⠛⠁⠀⠙⠛⠛⠛⠁⠀⠙⠛⠛⠋⠀⠘⠛⠓⠀⠀⠘⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣧⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣶⣾⣿⣿⡏⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡟⣿⣿⣿⣿⣿⣿⣻⣻⣿⣿⣿⣿⡿⡟⣿⢟⣟⣿⣻⣏⣿⣿⡹⡿⡟⣿⣿⣿⡟⣟⡻⣟⣿⣿⡏⡏⣿⢹⢹⣿⣿⣿⣟⣿⣿⡟⣿⣿⣿⣿⡿⣿⣿⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⡿⡛⣿⣿⡟⣿⣿⡿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣾⣿⣿⣿⣿⣿⣿⣼⣧⣯⣯⣿⣿⣿⣾⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣫⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠄⢸⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⡏⠀⢀⣽⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⡄⠀⠰⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠐⠶⣿⣿⣿⣿⣿⠇⢐⣿⣓⡦⠀⢺⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠂⡀⠘⠆⠀⠀⠀⠀⢀⣠⡀⣈⢩⡓⣦⣼⣿⣿⢿⣽⠂⣾⣿⣿⣆⣥⡆⢙⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⢼⣷⡿⠀⠀⠀⠀⠀⠘⢿⣷⣼⣿⣿⣿⣿⣿⣶⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠉⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠘⣿⡿⠋⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢀⣉⣹⡿⢁⠿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠅⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠘⠻⠿⠿⠿⠿⠿⠿⠿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡗⠀⠀⣀⣩⣿⠖⠁⠀⠀⠹⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠀⠀⠀⠀⠀⠲⣤⣤⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⡀⠟⠻⠋⠉⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉
⠉⠉⠙⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡠⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡟⠁⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢾⣿⠀⠀⠀⠀⠀⣿⠉⢳⣤⣤⣤⣤⡴⠶⠶⢶⣶⣾⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶
⠀⢀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣠⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⡷⠀⠀⠀⢹⡆⠀⠀⠙⠻⠦⢤⡀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠘⠿⠿⠿⠿⠿⠿⠿⢿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣶⣿⣟⣡⣼⣧⣤⡄⠀⠛⠀⠀⠀⠀⠀⠀⠀⣈⣂⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡿⢻⡿⠿⠟⠛⣻⣟⠋⠁⠀⠀⠀⠠⣴⣶⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⢀⣀⣀⣀⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠹⣿⣷⣴⣶⣾⣿⡿⠀⠀⢰⣿⣿⣿⠾⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⠉⠀⢸⣧⣄⣀⣼⠿⠋⠁⠀⠀⠀⠻⣿⣿⣿⠛⠛⠛⠛⠛⠛⣻⣿⣿⣿⣿⣿
⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣮⡞⠉⠀⣰⣿⠋⠁⠀⠀⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣄⣀⠀⠉⠉⠛⠛⠛⠛
⠀⢻⣿⣿⡿⠿⠿⠿⠿⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⡷⠤⠜⠁⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⣠⣶⣾⣿⣿⣿⣿⣿⣿⣶⣤⣤⡀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣟⠛⠋⠀⠀⢰⣤⣤⣀⣐⡟⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣾⣿⣿⣿⣿⣿⣿⣿⣮⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣯⣿⣿⣯⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⠶⠏⠴⣧⣴⡾⠿⠿⠿⢿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠻⢿⢿⣟⠁⠀⠠⠴⠶⠇⢿⣿⠿⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣶⡆⣶⣶⣶⠀⣶⣶⡆⣡⣾⡿⣷⣦⡁⣶⣶⣶⣶⣦⠀⣰⣾⣿⣷⣦⢀⣶⣿⢿⣶⡄⢉⣶⣿⣿⣶⡌⢰⣶⣶⣶⣶⣶⣶⣶⣶⡆⣭⣭⣭⣭⣭⣭⣭⣉⣉⣉⣭⣭⣽⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣇⣿⣿⣿⠀⣿⣿⡇⣿⣿⡇⣿⣿⡇⣿⣿⣇⣿⣿⠀⣿⣿⠀⣿⣿⠸⣿⣿⣜⠛⠃⢸⣿⡇⢸⣿⡇⢸⣿⣏⣀⢤⢸⣿⣿⢀⣐⣛⣛⣛⣛⣛⣛⣿⣿⣿⣿⣟⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢻⣿⣿⣿⣿⠀⣿⣿⡇⣿⣿⡇⣀⣀⡀⣿⣿⡟⣿⣧⠀⣿⣿⠀⣿⣿⠀⠙⠻⣿⣿⣆⢸⣿⡇⢸⣿⡇⢸⣿⡿⠿⣸⢸⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠼⣿⡏⣿⣿⠀⣿⣿⡇⣿⣿⣇⣿⣿⠇⣿⣿⡇⣿⣿⠀⣿⣿⣀⣿⣿⠘⣿⣿⣸⣿⣿⢸⣿⣇⣸⣿⡇⢸⣿⡟⠘⠛⢸⣿⣿⠘⠻⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠃⠛⠃⠛⠛⠀⠛⠛⠃⠈⠛⠛⠛⠋⠀⠛⠛⠃⠛⠛⠀⠈⠛⠛⠛⠁⠀⠙⠛⠛⠛⠁⠀⠙⠛⠛⠋⠀⠘⠛⠛⠀⠀⠘⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣦⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣀⣀⣠⣤⣤⣤⣤⣤⣴⣶⣶⣶⣾⣿⣿⡏⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡟⣿⣿⣿⣿⣿⣿⣻⣻⣿⣿⣿⣿⡿⡟⣿⢟⣟⣿⣻⣏⣿⣿⡻⡿⡟⣿⣿⣿⡟⣟⡻⣟⣿⣿⡏⡏⣿⢹⢹⣿⣿⣿⣟⣿⣿⣟⣿⣿⣿⣿⡿⣿⣿⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⡿⡛⣿⣿⡟⣿⣿⡿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣾⣿⣿⣿⣿⣿⣿⣼⣧⣯⣯⣿⣿⣿⣾⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢑⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⠀⢻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠈⣽⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠐⠲⣶⣾⣿⣿⣿⡿⠀⣴⡿⡆⠀⢺⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠓⠀⠀⠱⠀⠀⠀⠀⠀⣠⡀⣈⢙⡓⢦⢼⣿⣿⣿⣭⡷⣼⣿⣿⣆⣅⡀⢻⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⣾⣿⡇⠀⠀⠀⠀⠈⢿⣿⣬⣿⣷⣾⣿⣿⣧⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠉⠀⠀⠀⠀⠘⠈⠀⠀⠀⠀⠀⠀⠈⢿⣿⠟⣛⢻⣿⡿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠉⠙⣿⠇⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠘⠻⠿⠿⠿⠿⠿⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⣀⣉⣽⣯⠖⠁⠀⠹⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⠀⠀⠀⠀⠀⣦⣠⣤⣿⠟⠁⠀⠀⠀⠀⠀⠀⡀⠿⠿⠏⠉⠁⠀⠀⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉
⠉⠉⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⡀⠀⠈⠙⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠐⢶⣿⠀⠀⠀⠀⠀⣿⠉⢳⣤⣤⣤⣤⣤⠴⠶⢶⣶⣶⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶
⠀⠀⣤⣤⣀⣤⣤⣤⣀⣤⣄⣀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡄⠀⠀⢹⡆⠀⠀⠙⠻⠦⢤⡀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠘⠿⠿⠿⠿⠿⠿⠿⢿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⣀⣀⣀⣴⣾⣿⣿⣹⣁⡀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⢘⣂⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⢿⣿⣿⠿⠿⢿⣿⣿⠆⠀⠀⠀⠠⣤⣶⣾⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⣿⣷⢤⣤⣶⣼⡿⠃⠀⢰⣿⣿⣿⠾⠿⠿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⠋⠀⢸⣧⣄⣀⣼⠿⠛⠁⠀⠀⠀⠻⣾⣿⡿⠛⠛⠛⠛⠻⠛⢻⣿⣿⣿⣿⣿
⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣵⠋⠀⢠⣿⠟⠁⠀⠀⣾⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣄⣀⠀⠙⠛⠛⠛⠛⠛
⠀⢻⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣶⣿⣿⣿⣷⡄⠼⠃⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⣠⣶⣶⣿⣿⣿⣿⣿⣿⣦⣤⣤⡀⠀⠀
⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⡛⠛⠁⠀⠀⣀⣀⡀⠐⡞⡟⣿⣿⣻⣿⣿⣿⣿⣿⣿⣤⣾⣿⣿⣿⣿⣿⣿⣿⣮⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⡿⠛⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣧⣿⣿⣯⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠶⠶⠡⢶⣤⡾⠿⠿⠿⢿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠸⣿⡿⣟⠁⠀⠠⢔⠒⠇⠿⣿⠿⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣶⡆⣶⣶⣶⠀⣶⣶⡆⣠⣾⡿⣷⣦⡁⣶⣶⣶⣶⣦⠀⣰⣾⣿⣷⣦⢀⣶⣿⢿⣶⡄⢈⣶⣿⣿⣶⡌⢰⣶⣶⣶⣶⣶⣶⣶⣶⡎⣭⣭⣭⣭⣭⣭⣉⣙⣛⣋⣉⣭⣽⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣇⣿⣿⣿⠀⣿⣿⡇⣿⣿⡇⣿⣿⡇⣿⣿⣇⣿⣿⠀⣿⣿⠀⣿⣿⠸⣿⣿⣜⠛⠃⢸⣿⡇⢸⣿⡇⢸⣿⣏⣀⢠⢸⣿⣿⢀⣐⣛⣛⣛⣛⣛⣟⣿⣿⣿⣿⣟⣻⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢻⣿⣿⣿⣿⠀⣿⣿⡇⣿⣿⡇⣀⣀⡀⣿⣿⡟⣿⣧⠀⣿⣿⠀⣿⣿⠀⠙⠻⣿⣿⣆⢸⣿⡇⢸⣿⡇⢸⣿⡿⠿⣸⢸⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠸⣿⡟⣿⣿⠀⣿⣿⡇⣿⣿⣇⣿⣿⠇⣿⣿⡇⣿⣿⠀⣿⣿⣀⣿⣿⠘⣿⣿⣸⣿⣿⢸⣿⣇⣸⣿⡇⢸⣿⡟⠘⠛⢸⣿⣿⠘⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠃⠛⠃⠛⠛⠀⠛⠛⠃⠈⠛⠛⠛⠋⠀⠛⠛⠃⠛⠛⠀⠈⠛⠛⠛⠁⠀⠙⠛⠛⠛⠁⠀⠙⠛⠛⠋⠀⠘⠛⠓⠀⠀⠘⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣦⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⣀⣀⣀⣀⣠⣤⣤⣤⣤⣴⣶⣶⣶⣾⣿⣿⡟⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡟⣿⣿⣿⣿⣿⣿⣻⣻⣿⣿⣿⣿⡿⡟⣿⢟⣟⣿⣻⣏⣿⣿⡻⡿⡟⣿⣿⣿⡟⡟⡻⣟⣿⣿⡏⡏⣿⢹⢹⣿⣿⣿⣟⣿⣿⡟⣿⣿⣿⣿⡿⣿⣿⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⡿⡛⣿⣿⡟⣿⣿⡿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣾⣿⣿⣿⣿⣿⣿⣼⣧⣯⣯⣿⣿⣿⣾⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣊⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠃⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠈⣽⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⡄⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠃⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⣶⣾⣿⣿⣿⣿⠇⢀⡰⡄⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠷⢀⡸⡦⠀⠀⠀⠀⢀⡀⣀⠉⡁⢄⠸⣿⣿⣿⣫⣽⣴⣿⣿⣆⠀⡀⢹⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⢀⣾⣿⠀⠀⠀⠀⠀⢻⣿⣬⣽⣷⣾⣶⣿⣯⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠁⠀⠀⠀⠀⠛⠁⠀⠀⠀⠀⠀⠀⢻⣿⡟⢋⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠘⢿⡿⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠘⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠆⠀⢀⢈⣛⣿⣡⠞⠉⠹⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⣀⣀⣽⡿⠋⠀⠀⠀⠀⠀⠀⡈⠿⠿⠏⠉⠁⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉
⠉⠉⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠁⠀⠀⠀⠀⠐⢶⣿⠀⠀⠀⠀⠀⣿⠉⢳⣤⣤⣤⣤⣤⣴⡶⢶⣶⣶⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶
⠀⠀⣠⣤⣀⣠⣤⣄⣀⣠⣄⣀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣄⠀⠀⢹⣆⠀⠈⠙⠻⠦⣤⡀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠘⠿⠿⠿⡿⠿⠿⠿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣴⣶⣿⣿⣻⣉⡀⠀⠈⠻⠀⠀⠀⠀⠀⠀⠀⢘⠢⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⡿⣿⣿⡿⠿⣿⣿⣷⡄⠀⠀⠀⠠⣤⣶⣾⣷⣶⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⣿⣷⣖⣤⣴⢼⡟⠃⠀⢰⣾⣿⣿⠶⠿⠿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠋⠀⢸⣧⣄⣀⣼⠿⠟⠁⠀⠀⠀⠻⣾⣿⣿⠛⠛⠛⠛⠻⠟⢻⣿⣿⣿⣿⣿
⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣠⠋⠀⢀⣾⠟⠁⠀⠀⣾⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣀⡀⠀⠙⠛⠛⠛⠛⠛
⠀⢻⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣷⣄⠬⠋⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⣀⣴⣶⣿⣿⣿⣿⣿⣿⣦⣤⣤⡀⠀⠀
⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠿⠟⠋⠀⠀⡀⠀⠀⠀⡾⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣾⣿⣿⣿⣿⣿⣿⢿⣯⣿⣯⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⢻⣿⣿⣶⣿⣿⣿⣿⣯⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠶⠶⠡⢶⣤⡶⠿⠿⠿⠿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⠁⠀⠂⣔⠒⠆⢿⣿⠿⡿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣶⡆⣶⣶⣶⠀⣶⣶⡆⣠⣾⡿⣷⣦⡁⣶⣶⣶⣶⣦⠀⣰⣾⣿⣷⣦⢀⣶⣿⢿⣶⡄⢀⣶⣿⣿⣶⡄⢰⣶⣶⣶⣶⣶⣶⣶⣶⡎⣭⣭⣭⣭⣿⣟⣛⣛⣛⣛⣉⣩⣽⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣇⣿⣿⣿⠀⣿⣿⡇⣿⣿⡇⣿⣿⡇⣿⣿⣇⣿⣿⠀⣿⣿⠀⣿⣿⠸⣿⣿⣜⠛⠃⢸⣿⡇⢸⣿⡇⢸⣿⣏⣀⢀⢸⣿⣿⢀⣐⣛⣛⣛⣛⣻⣿⣿⠿⠿⣿⣿⣛⣯⣽
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢻⣿⣿⣿⣿⠀⣿⣿⡇⣿⣿⡇⣀⣀⡀⣿⣿⡟⣿⣧⠀⣿⣿⠀⣿⣿⠀⠙⠻⣿⣿⣆⢸⣿⡇⢸⣿⡇⢸⣿⡿⠿⣸⢸⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠸⣿⡏⣿⣿⠀⣿⣿⡇⣿⣿⣇⣿⣿⠇⣿⣿⡇⣿⣿⠀⣿⣿⣀⣿⣿⠘⣿⣿⣸⣿⣿⢸⣿⣇⣸⣿⡇⢸⣿⡏⠘⠛⢸⣿⣿⠸⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠂⠛⠃⠛⠛⠀⠛⠛⠃⠈⠛⠛⠛⠋⠀⠛⠛⠃⠛⠛⠀⠈⠛⠛⠛⠁⠀⠙⠛⠛⠛⠁⠀⠙⠛⠛⠋⠀⠘⠛⠛⠀⠀⠘⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠈⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣶⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣄⣀⣀⣀⣀⣀⣤⣤⣤⣤⣤⣶⣶⣶⣾⣿⣿⡟⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡟⣿⣿⣿⣿⣿⣿⣻⣻⣿⣿⣿⣿⡿⡟⣿⢟⣟⣿⣻⣏⣿⣿⡻⡿⡟⣿⣿⣿⡟⡟⡻⣟⣿⣿⡏⡏⣿⢹⢹⣿⣿⣿⣟⣿⣿⡟⣿⣿⣿⣿⡿⣿⣿⢻⣿⣟⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⡿⡛⣿⣿⡟⣿⣿⡿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣾⣿⣿⣿⣿⣿⣿⣼⣧⣯⣯⣿⣿⣿⣾⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠟⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢑⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⠄⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡃⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣽⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡅⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠆⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⣶⣾⣿⣿⣿⣿⡏⠀⠀⣆⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠄⢀⣶⡆⠀⠀⠀⠀⡀⢀⠉⡁⢤⠈⣿⣿⣟⣋⣭⣧⣼⣿⣆⢀⡀⢹⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⡏⠀⠀⠀⠀⠻⣿⣬⣽⣷⣾⣶⣿⣿⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠁⠀⠀⠀⠘⠉⠀⠀⠀⠀⠀⠀⢻⣿⡿⢋⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⢿⣿⠋⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠘⠿⠿⠿⠿⠿⣿⢿⡿⠿⠿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⢀⠈⢛⣻⣇⣴⠟⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⣀⣹⣿⠿⠋⠀⠀⠀⠀⠀⡈⡿⢿⠏⠉⠉⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉
⠉⠋⠙⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠉⠻⠛⠉⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡷⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⠀⠈⠀⠀⠀⠀⠀⢶⣿⠀⠀⠀⠀⠀⢿⠉⢳⣤⣤⣤⣤⣤⣴⠶⢶⣶⣶⣾⣿⣷⣶⣶⣶⣶⣶⣶⣶
⠀⠀⣠⣤⣀⣠⣤⣄⣀⣠⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⠀⠀⢸⣇⠀⠈⠙⠻⠦⣤⡀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠘⠿⠿⠿⡿⠿⠿⠿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣰⣾⣿⣿⣻⣇⣀⠀⠀⠻⠀⠀⠀⠀⠀⠀⠀⢘⠂⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣟⣿⣿⠿⠿⣿⣿⣿⡆⠀⠀⠀⠠⣤⣶⣾⣷⣶⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⢿⣿⣆⣤⣶⠶⡟⠁⠀⢰⣿⣿⣿⠶⠿⠿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠋⠀⢠⣧⣤⣀⣼⠿⠛⠁⠀⠀⠀⠻⣾⣿⣿⠛⠛⠛⠛⠻⠟⢻⣿⣿⣿⣿⣿
⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣠⠊⠁⠀⣾⡿⠁⠀⠀⣸⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣀⣀⠀⠙⠛⠛⠛⠛⠛
⠀⢻⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⢿⣿⣿⣿⡦⠤⠋⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⣀⣴⣶⣿⣿⣿⣿⣿⣿⣦⣤⣤⡀⠀⠀
⠀⠀⠉⠁⠁⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⡟⠟⠋⠀⠀⠀⠀⠀⠀⡞⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣾⣿⣿⣿⣿⣿⣿⢿⣯⣿⣿⣿⣿⣿⣿⣶
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⢸⣿⣶⣶⣿⣿⣿⣿⣯⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠶⠎⢴⣦⠴⠿⠿⠿⢿⣿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⠁⠀⠈⣐⡒⠂⢿⣿⠯⡿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣶⡆⣶⣶⣶⠀⣶⣶⡆⣠⣾⡿⣷⣦⡁⣶⣶⣶⣶⣦⠁⣴⣾⣿⣷⣦⢀⣶⣿⢿⣶⡄⢁⣶⣿⣿⣶⡄⢰⣶⣶⣶⣶⣶⣶⣶⣶⡎⣭⣭⣭⣭⣏⣛⣛⣛⣛⣛⣋⣩⣭⣽
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣇⣿⣿⣿⠀⣿⣿⡇⣿⣿⡇⣿⣿⡇⣿⣿⣇⣿⣿⠀⣿⣿⠀⣿⣿⠸⣿⣿⣜⠛⠃⢸⣿⡇⢸⣿⡇⢸⣿⣏⣀⢀⢸⣿⣿⢀⣐⣛⣛⣛⣛⣛⣿⢿⠿⡿⢿⣿⣛⣯⣽
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢻⣿⣿⣿⣿⠀⣿⣿⡇⣿⣿⡇⣀⣀⡀⣿⣿⡟⣿⣧⠀⣿⣿⠀⣿⣿⠀⠙⠻⣿⣿⣆⢸⣿⡇⢸⣿⡇⢸⣿⡿⠿⣸⢸⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠸⣿⡏⣿⣿⠀⣿⣿⡇⣿⣿⣇⣿⣿⠇⣿⣿⡇⣿⣿⠀⣿⣿⣀⣿⣿⠘⣿⣿⣸⣿⣿⢸⣿⣇⣸⣿⡇⢸⣿⡟⠘⠛⢸⣿⣿⠸⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠃⠛⠃⠛⠛⠀⠛⠛⠃⠈⠛⠛⠛⠋⠀⠛⠛⠃⠛⠛⠀⠈⠛⠛⠛⠁⠀⠙⠛⠛⠛⠁⠀⠙⠛⠛⠋⠀⠘⠛⠛⠀⠀⠘⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠐⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣦⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⣀⣀⣀⣀⣀⣠⣤⣤⣤⣤⣶⣶⣶⣾⣿⣿⡟⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡟⣿⣿⣿⣿⣿⣿⣻⣻⣿⣿⣿⣿⡿⡟⣿⢟⣟⣿⣻⣏⣿⣿⡻⡿⡟⣿⣿⣿⡿⣟⡻⣟⣿⣿⡏⡏⣿⢹⢹⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡛⣿⣿⣿⣿⣿⡿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣾⣿⣿⣿⣿⣿⣿⣼⣧⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡟⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢓⡘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠄⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣽⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣶⣾⣿⣿⣿⣿⡿⠀⠀⢴⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠧⠀⣲⣴⠀⠀⣀⡠⡀⣈⠙⡒⢄⠘⣿⣿⣿⣛⣭⣷⣴⣿⣎⢌⣌⣻⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⠁⠀⠀⠈⢿⣿⣬⣿⣷⣾⣶⣿⣿⣥⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠋⠀⠀⠀⠀⠛⠃⠀⠀⠀⠀⠈⢻⣿⡿⢛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠘⠘⢿⣿⠏⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠘⠿⠿⠿⠿⠿⣿⣿⡿⡿⢿⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠆⠀⠀⠀⠒⣻⣏⣤⠞⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣹⣿⡿⠋⠁⠀⠀⠀⠀⣈⡿⢿⡏⠉⠉⠀⠈⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠉⠉⠙⠉⠙⠉
⠋⠋⠛⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠟⠋⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠀⠀⠃⠀⠠⠀⠀⢶⣿⠀⠀⠀⠀⠀⣿⠋⢳⣤⣤⣤⣤⣤⣴⡶⢶⣶⣶⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶
⠀⠀⣠⣤⣀⣠⣤⣤⣀⣠⣄⣀⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⠀⠀⢹⣇⠀⠈⠙⠻⠦⣤⡀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠘⠿⠿⠿⡿⠿⠿⠿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠀⣀⣀⣀⣰⣾⣿⣿⣻⣇⣀⠀⠈⢿⠀⠀⠀⠀⠀⠀⠀⣙⢦⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⡿⠿⣿⣿⣿⡦⠀⠀⠀⠠⣤⣶⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⢿⣿⣶⣤⣶⠶⡟⠉⠀⢰⣿⣿⣿⠾⠿⠿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠏⠀⢠⣧⣤⣠⣼⠿⠟⠉⠀⠀⠐⢿⣾⣿⣿⠟⠛⠛⠛⠿⠟⢻⣿⣿⣿⣿⣿
⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣦⠎⠁⠀⣾⡿⠉⠀⠀⣸⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣀⣀⠀⠙⠛⠛⠛⠛⠛
⠀⢻⣿⣿⣿⣿⣿⠿⠿⠿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣦⠤⠟⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣦⣤⣤⡀⠀⠀
⠀⠈⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠉⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⡞⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣶⣿⣿⣿⣿⣿⠿⠃⠀⠀⠀⠀⢸⣷⣶⣶⣿⣿⣿⣿⣯⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣾⣴⣦⣶⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡁⣐⠩⣕⣒⣆⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⠛⠓⢶⡿⢿⣿⣿⣿⣿⣿⣿⣿⣤⣬⣭⣭⣭⣭⣭⣯⣿⣛⣛⣛⣛⣋⣩⣭⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠾⠿⠟⠛⠟⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣲⣶⣶⣤⣤⣤⣤⣭⣭⣭⣭⣿⣿⣛⣛⣛⣛⣛⣛⣛⣻⣿⣿⣿⡿⡿⣿⣿⣻⣯⣽
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠛⠛⠛⠛⠛⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣶⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣄⣀⣀⣀⣠⣤⣤⣤⣤⣴⣶⣶⣶⣾⣿⣿⡿⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡟⣿⣿⣿⣿⣿⣿⣻⣻⣿⣿⣿⣿⡿⡟⣿⢟⣟⣿⣻⣏⣿⣿⡻⡿⡟⣿⣿⣿⡟⡟⡻⣟⣿⣿⡏⡏⣿⢹⢹⣿⣿⣿⣟⣿⣿⡟⣿⣿⣿⣿⡿⣿⣿⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⡿⡛⣿⣿⡟⣿⣿⡿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣾⣿⣿⣿⣿⣿⣿⣼⣧⣯⣯⣿⣿⣿⣾⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡟⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡂⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢓⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⠄⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣹⣿⣿⣿⣿⣽⣽⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡆⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣤⣶⣾⣿⣿⣿⡟⠀⠀⢤⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢠⠠⠀⠀⠀⠀⠀⠀⠂⠀⡀⢹⣿⣿⡿⢛⣻⣧⣴⣿⣆⢀⡀⢙⣿⣿⣿⣿⣿⣿⣿⡅⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⣰⡧⠀⠀⠀⠘⢾⣦⣑⣶⣧⣤⣼⣿⣿⣉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⡿⠿⠛⠁⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⢿⣿⡿⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣭⣥⣽⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠚⠸⣿⣿⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠘⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡀⠀⠀⠀⠴⣾⡏⣠⠾⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠟⠁⠀⠀⠀⠀⣈⡿⢿⡏⠉⠉⠀⠀⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉
⠉⠋⠙⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠻⠿⠛⠁⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣶⡶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠟⠁⠀⠐⠀⠀⠂⠀⢶⣿⠀⠀⠀⠀⠀⢿⠉⢳⣤⣤⣤⣤⣤⣴⡶⢶⣶⣶⣾⣿⣷⣶⣶⣶⣶⣶⣶⣶
⠀⠀⣠⣤⣀⣠⣤⣤⣀⣠⣄⣀⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣦⠀⠀⢸⣇⠀⠀⠉⠻⠦⢤⡀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠘⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠁⣀⣀⣀⣠⣾⣿⣿⣹⣇⣀⠀⠀⠻⠀⠀⠀⠀⠀⠀⠀⢙⢢⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣟⣿⣿⡿⠿⣿⣿⣿⡦⠀⠀⠀⠠⣤⣶⣾⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⢀⣀⣀⣀⣠⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⢿⣿⣖⣤⣴⠶⣿⠋⠀⢰⣿⣿⣿⠶⠿⠿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠏⠀⢠⣯⣤⣀⣼⠿⠛⠁⠀⠀⠀⠻⣾⣿⣿⠛⠛⠛⠛⠻⠛⢻⣿⣿⣿⣿⣿
⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⠊⠁⠀⣼⡿⠉⠀⠀⣸⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣀⣀⠀⠉⠛⠛⠛⠛⠛
⠀⢻⣿⣿⣿⣿⣿⡿⠿⠿⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⢿⣿⣿⣿⡦⠤⠟⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⢀⣤⣶⣾⣿⣿⣿⣿⣿⣦⣤⣤⡀⠀⠀
⠀⠈⠙⠉⠉⠀⠀⠀⠀⠀⠀⠀⠈⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣟⠛⠋⠀⠀⠀⠀⠀⠀⣞⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣶⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⠿⠃⠀⠀⠀⠀⠀⣿⣶⣶⣿⣿⣿⣿⣯⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⣎⣴⣢⣴⣾⣿⣿⣿⢿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡁⡀⠀⣔⣒⣂⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⡆⠀⢀⣴⣶⣶⣤⠀⣶⣶⡄⣴⣶⡆⣶⣶⣶⡎⢩⣴⣶⣶⣤⠀⠀⠀⣶⣶⡄⠀⣶⣶⡆⣴⣶⡍⢰⣶⠀⣶⣶⡆⣶⣿⢸⣶⣯⢰⣶⡎⣭⣭⣭⣭⣭⣙⣛⣛⣛⣛⣉⣩⣭⣽
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⡇⣿⣿⡇⣿⣿⡇⣿⣿⡇⣿⣿⡏⠉⢸⣿⣇⠿⠿⠀⠀⠀⣿⣿⡇⠀⣿⣿⡇⣿⣿⣷⢸⣿⠀⣿⣿⡇⣿⣿⡀⣿⣿⣾⣿⢁⣛⣛⣛⣛⣛⣿⣿⠿⡿⣿⣿⣻⣯⣽
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⡇⣿⣿⡇⢸⣿⣧⣿⣿⠀⣿⣿⣿⡇⠈⠻⣿⣿⣦⠀⠀⠀⣿⣿⡇⠀⣿⣿⡇⣿⣿⣿⣿⣿⠀⣿⣿⡇⣿⣿⠃⣽⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣇⣀⢸⣿⡇⣿⣿⡇⠸⣿⣿⣿⣿⠀⣿⣿⣇⣀⢸⣿⡇⣿⣿⡇⠀⠀⣿⣿⣇⡀⣿⣿⡇⣿⣿⢹⣿⣿⠀⣿⣿⡇⣿⣿⢀⣿⣿⢻⣿⡆⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠿⠿⠈⠻⠿⠿⠟⠁⠀⠿⠿⠿⠇⠀⠿⠿⠿⠿⠘⠻⠿⠿⠟⠁⠀⠀⠿⠿⠿⠇⠿⠿⠇⠿⠿⠀⠿⠿⠀⠙⠿⠿⠿⠋⠸⠿⠿⠘⠿⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠐⠚⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣶⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣄⣀⣀⣀⣀⣠⣤⣤⣤⣤⣶⣶⣶⣾⣿⣿⡟⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡟⣿⣿⣿⣿⣿⣿⣻⣻⣿⣿⣿⣿⡿⡟⣿⢟⣟⣿⣻⣏⣿⣿⡹⡿⡟⣿⣿⣿⡟⣟⡻⣛⣿⣿⡏⡏⣿⢹⢹⣿⣿⣿⣟⣿⣻⣟⣿⣿⣿⣿⡿⣿⣿⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⡿⡛⣿⣿⡟⣿⣿⡿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣾⣿⣿⣿⣿⣿⣿⣼⣧⣯⣯⣿⣿⣿⣾⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠟⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠷⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡆⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣴⣶⣿⡇⠀⠀⡄⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⡿⢿⣀⣴⣿⣆⣁⣈⢙⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⢀⠀⠀⠀⠀⠀⣄⠠⣄⣤⣐⡀⣻⣿⠟⠒⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠀⠀⠀⠀⠁⠀⠀⠀⠀⢻⣷⣶⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⡿⣽⣯⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠛⠡⡄⣿⣿⣟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠘⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣙⣿⠇⢀⡿⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣿⠔⠋⠀⠀⠀⠀⡈⡿⢿⡏⠉⠉⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉
⠋⠋⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢦⣦⣾⠟⠁⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣴⣶⠆⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠋⠀⠐⠄⠀⠈⠀⢶⣿⠀⠀⠀⠀⠀⢻⠉⢳⣤⣤⣤⣤⣤⣴⠶⢶⣶⣶⣾⣿⣷⣶⣶⣶⣶⣶⣶⣶
⠀⠀⣠⣤⣀⣠⣤⣤⣀⣤⣄⣀⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⠀⠀⢸⣇⠀⠀⠉⠻⠦⢤⡀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠘⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣀⣄⣀⣠⣶⣿⣿⣋⣿⣀⠀⠀⠻⠀⠀⠀⠀⠀⠀⠀⢈⢢⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣧⠀⠀⠀⠠⣤⣶⣾⣷⣶⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣤⣤⣴⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣆⣠⣤⠦⣿⠋⠁⢰⣿⣿⣿⠶⠿⠿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣿⣿⠏⠀⢠⣿⣄⣀⣼⡿⠛⠁⠀⠀⠀⠻⣾⣿⣿⠛⠛⠛⠛⠻⠛⢻⣿⣿⣿⣿⣿
⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣦⠞⠁⠀⣰⡿⠉⠀⠀⣸⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣄⣀⠀⠉⠛⠛⠛⠛⠛
⠀⢻⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⢿⣿⣿⣿⡧⠤⠘⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⢀⣤⣶⣾⣿⣿⣿⣿⣿⣦⣤⣤⡀⠀⠀
⠀⠈⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠉⠻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⣿⣿⣿⣟⠛⠋⠀⠀⢀⡀⠀⠀⣞⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣶⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣯⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣾⣯⣴⣷⣶⣿⣿⣿⠿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⢹⡿⣿⡁⣀⠈⣔⣒⣆⢿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⡆⠀⢀⣴⣶⣶⣤⠀⣶⣶⡄⣴⣶⡆⣶⣶⣶⡦⢩⣴⣶⣶⣤⠀⠀⠀⣶⣶⡄⠀⣶⣶⡆⣴⣶⡍⢰⣶⠈⣶⣶⡆⣶⣿⢸⣾⣯⢰⣶⡎⣭⣭⣭⣭⣭⣝⣛⣛⣛⣋⣉⣩⣭⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⡇⣿⣿⡇⣿⣿⡇⣿⣿⡇⣿⣿⡏⠁⢸⣿⣇⠿⠿⠀⠀⠀⣿⣿⡇⠀⣿⣿⡇⣿⣿⣷⢸⣿⠀⣿⣿⡇⣿⣿⡀⣿⣿⣾⣿⢁⣛⣛⣛⣛⣛⣿⣿⡿⣿⣿⣿⣻⣯⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⡇⣿⣿⡇⢸⣿⣧⣿⣿⠀⣿⣿⣿⡇⠈⠻⣿⣿⣦⠀⠀⠀⣿⣿⡇⠀⣿⣿⡇⣿⣿⣿⣿⣿⠀⣿⣿⡇⣿⣿⠄⣽⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣇⣀⢸⣿⡇⣿⣿⡇⠸⣿⣿⣿⣿⠀⣿⣿⣇⣀⢸⣿⡆⣿⣿⡇⠀⠀⣿⣿⣇⡀⣿⣿⡇⣿⣿⢹⣿⣿⠀⣿⣿⡇⣿⣿⢀⣿⣿⢻⣿⡆⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠿⠿⠈⠻⠿⠿⠟⠁⠀⠿⠿⠿⠇⠀⠿⠿⠿⠿⠘⠻⠿⠿⠟⠁⠀⠀⠿⠿⠿⠇⠿⠿⠇⠿⠿⠀⠿⠿⠀⠙⠿⠿⠿⠋⠸⠿⠿⠘⠿⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠈⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣶⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣄⣀⣀⣀⣀⣤⣤⣤⣤⣤⣴⣶⣶⣾⣿⣿⡟⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡟⣿⣿⣿⣿⣿⣿⣻⣻⣿⣿⣿⣿⡿⡟⣿⢟⣟⣿⣻⣏⣿⣿⡹⡿⡟⣿⣿⣿⡟⡟⡻⣟⣿⣿⡏⡏⣿⢹⢹⣿⣿⣿⣟⣿⣻⡟⣿⣿⣿⣿⡿⣿⣿⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⡿⡛⣿⣿⡟⣿⣿⡿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣾⣿⣿⣿⣿⣿⣿⣼⣧⣯⣯⣿⣿⣿⣾⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠟⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡅⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢁⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⣽⣿⣿⣿⣿⣽⣿⣿⣿⡇⠀⠀⠀⢈⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠀⠀⠀⡄⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡃⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣶⣶⣿⣿⣿⡏⠀⣠⣿⣆⢀⡈⢙⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⠿⠿⢛⣻⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⢰⣄⠳⣾⣤⣤⣼⣿⡍⢠⣼⣿⣿⣿⣿⣿⣿⣽⣯⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⠿⠓⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠈⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠃⠻⣿⣿⠈⠻⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⡇⣠⠞⠁⠀⠀⠀⡈⣿⢿⡏⠈⠁⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉
⠋⠋⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣀⣿⡿⠋⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⡌⠙⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠈⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠟⠀⠀⠠⠀⠀⠀⢶⣿⠀⠀⠀⠀⠀⢻⠉⢳⣤⣤⣤⣤⣤⠴⠶⢶⣶⣶⣾⣿⣷⣶⣶⣶⣶⣶⣶⣶
⠀⠀⣠⣤⣀⣤⣤⣤⣀⣤⣄⣀⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣤⣶⠀⠀⢸⣇⠀⠀⠉⠻⠦⢤⡀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠘⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣀⣴⣿⣿⣋⣷⣀⠀⠀⠻⠀⠀⠀⠀⠀⠀⠀⢘⢢⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡟⣿⣿⣿⠿⣿⣿⣿⣧⠄⠀⠀⠠⣤⣶⣾⣿⣶⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⢀⣀⣀⣀⣠⣤⣤⣴⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣧⢠⣤⠦⣾⠛⠁⢠⣿⣿⣿⠶⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣿⣿⠏⠀⢠⣿⣤⣀⣼⡿⠏⠁⠀⠀⠀⠻⣾⣿⣿⠛⠛⠛⠛⠻⠛⢻⣿⣿⣿⣿⣿
⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣦⠊⠀⠀⣰⡿⠁⠀⠀⣸⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣀⣀⠀⠉⠛⠛⠛⠛⠛
⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⠷⠀⠊⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⢀⣤⣴⣾⣿⣿⣿⣿⣿⣦⣤⣤⡀⠀⠀
⠀⠈⠛⠛⠋⠉⠁⠀⠀⠀⠀⠉⠉⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⡏⠉⠁⠀⠀⢠⣄⣀⣀⣞⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣶⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣽⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢀⣀⣶⣾⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣯⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⣧⣦⣴⣾⣿⣿⡿⠿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠹⠿⣿⡁⡀⠀⣔⣒⣂⢿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⡆⠀⢀⣴⣶⣶⣤⠀⣶⣶⡄⣴⣶⡆⣶⣶⣶⡆⢩⣴⣶⣶⣤⠀⠀⠀⣶⣶⡄⠀⣶⣶⡆⣴⣶⡍⢰⣶⠀⣶⣶⡆⣶⣿⢸⣶⣯⢰⣶⡎⣭⣭⣭⣭⣭⣍⣙⣛⣛⣉⣉⣭⣽⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⡇⣿⣿⡇⣿⣿⡇⣿⣿⡇⣿⣿⡏⠁⢸⣿⣇⠿⠿⠀⠀⠀⣿⣿⡇⠀⣿⣿⡇⣿⣿⣷⢸⣿⠀⣿⣿⡇⣿⣿⠀⣿⣿⣾⣿⢁⣛⣛⣛⣛⣛⣻⣿⣿⣿⣿⣟⣻⣯⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⡇⣿⣿⡇⢸⣿⣧⣿⣿⠀⣿⣿⣿⡇⠈⠻⣿⣿⣦⠀⠀⠀⣿⣿⡇⠀⣿⣿⡇⣿⣿⣿⣿⣿⠀⣿⣿⡇⣿⣿⡅⣽⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣇⣀⢸⣿⡇⣿⣿⡇⠸⣿⣿⣿⣿⠀⣿⣿⣇⣀⢸⣿⡆⣿⣿⡇⠀⠀⣿⣿⣇⡀⣿⣿⡇⣿⣿⢹⣿⣿⠀⣿⣿⡇⣿⣿⢀⣿⣿⢻⣿⡎⠻⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠿⠿⠈⠻⠿⠿⠟⠁⠀⠿⠿⠿⠇⠀⠿⠿⠿⠿⠘⠻⠿⠿⠟⠁⠀⠀⠿⠿⠿⠇⠿⠿⠇⠿⠿⠀⠿⠿⠀⠙⠿⠿⠿⠋⠸⠿⠿⠘⠿⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣶⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣄⣀⣀⣀⣀⣤⣤⣤⣤⣤⣶⣶⣶⣾⣿⣿⡟⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡟⣿⣿⣿⣿⣿⣿⣻⣻⣿⣿⣿⣿⡿⡟⣿⢟⣟⣿⣻⣏⣿⣿⡻⡿⡟⣿⣿⣿⡟⣟⡻⣟⣿⣿⡏⡏⣿⢹⢹⣿⣿⣿⣟⣿⣿⡟⣿⣿⣿⣿⡿⣿⣿⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⡿⡛⣿⣿⡟⣿⣿⡿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣾⣿⣿⣿⣿⣿⣿⣼⣧⣯⣯⣿⣿⣿⣾⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡟⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢧⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠀⠉⣹⣽⣿⣿⣿⣽⣽⣿⣿⡇⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣄⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠇⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣾⠇⠀⢠⣿⣎⢀⡂⢙⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣴⣾⣿⣿⣿⣿⣿⣄⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⡀⠀⠘⣿⡟⠿⠩⣶⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⣤⣽⣿⠳⣴⣿⣷⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠘⠿⠿⠿⠿⠿⢿⡿⠿⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⠋⢁⢠⣿⣿⡟⢿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠇⢀⡽⠃⠀⠀⠀⣈⣿⢿⡏⠈⠁⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉
⠉⠉⠙⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣿⡴⠋⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠠⣤⣾⠿⠋⠀⠀⠀⠀⠀⠀⠀⠈⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⡟⠀⠀⠠⠀⠀⠀⠰⣿⠀⠀⠀⠀⠀⢻⠉⢳⣤⣤⣤⣤⡤⠴⠶⢶⣶⣶⣾⣿⣷⣶⣶⣶⣶⣶⣶⣶
⠀⠀⣠⣤⣀⣤⣤⣤⣀⣤⣄⣀⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⡶⠀⠀⢸⣇⠀⠀⠉⠻⠦⢤⡀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠘⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣤⣴⣿⣿⣭⣼⣀⡀⠀⠻⠀⠀⠀⠀⠀⠀⠀⢘⢢⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠟⣿⡿⠿⠿⠿⣿⣿⣷⠆⠀⠀⠠⣤⣶⣾⣷⣶⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⢀⣀⣀⣀⣠⣤⣤⣴⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⣠⠴⠦⣿⠋⠀⢰⣿⣿⣿⠶⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣿⣿⠇⠀⢠⣿⣤⣀⣼⡿⠍⠁⠀⠀⠀⠻⣾⣿⣿⠛⠛⠛⠛⠻⠛⢻⣿⣿⣿⣿⣿
⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣀⠀⠀⢰⠟⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⣀⠀⠉⠛⠛⠛⠛⠛
⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣻⣿⣿⣿⠓⠐⠉⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⢀⣤⣴⣾⣿⣿⣿⣿⣿⣶⣤⣤⡀⠀⠀
⠀⠈⠛⠛⠋⠉⠁⠀⠀⠀⠉⠉⠛⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⡏⠀⠀⠀⠀⢰⣦⣤⣄⣞⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣶⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣯⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣣⣴⣴⣿⣿⣿⡿⠻⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⣛⡁⠀⠠⢔⣒⣂⢿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⡆⠀⢀⣴⣶⣶⣤⠀⣶⣶⡄⣴⣶⡆⣶⣶⣶⡆⢩⣴⣶⣶⣤⠀⠀⠀⣶⣶⡄⠀⣶⣶⡆⣴⣶⡍⢰⣶⠈⣶⣶⡆⣶⣿⢸⣷⣯⢰⣶⡎⣭⣭⣭⣭⣭⣭⣍⣉⣛⣉⣉⣭⣽⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⡇⣿⣿⡇⣿⣿⡇⣿⣿⡇⣿⣿⡏⠁⢸⣿⣇⠿⠿⠀⠀⠀⣿⣿⡇⠀⣿⣿⡇⣿⣿⣷⢸⣿⠀⣿⣿⡇⣿⣿⠀⣿⣿⣾⣿⢁⣛⣛⣛⣛⣛⣻⣿⣿⣿⣿⣛⣻⣯⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⡇⣿⣿⡇⢸⣿⣧⣿⣿⠀⣿⣿⣿⡇⠈⠻⣿⣿⣦⠀⠀⠀⣿⣿⡇⠀⣿⣿⡇⣿⣿⣿⣿⣿⠀⣿⣿⡇⣿⣿⡂⣽⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣇⣀⢸⣿⡇⣿⣿⡇⠸⣿⣿⣿⣿⠀⣿⣿⣇⣀⢸⣿⡆⣿⣿⡇⠀⠀⣿⣿⣇⡀⣿⣿⡇⣿⣿⢹⣿⣿⠀⣿⣿⡇⣿⣿⢀⣿⣿⢻⣿⡎⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠿⠿⠈⠻⠿⠿⠟⠁⠀⠿⠿⠿⠇⠀⠿⠿⠿⠿⠘⠻⠿⠿⠟⠁⠀⠀⠿⠿⠿⠇⠿⠿⠇⠿⠿⠀⠿⠿⠀⠙⠿⠿⠿⠋⠸⠿⠿⠘⠿⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠚⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣶⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣄⣀⣀⣀⣠⣤⣤⣤⣤⣤⣶⣶⣶⣾⣿⣿⡟⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡟⣿⣿⣿⣿⣿⣿⣻⣻⣿⣿⣿⣿⡿⡟⣿⢟⣟⣿⣻⣏⣿⣿⡹⡿⡟⣿⣿⣿⡟⣟⡻⣟⣿⣿⡏⡏⣿⢹⢹⣿⣿⣿⣟⣿⣿⣟⣿⣿⣿⣿⡿⣿⣿⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⡿⡛⣿⣿⡟⣿⣿⡿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣾⣿⣿⣿⣿⣿⣿⣼⣧⣯⣿⣿⣿⣿⣾⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡟⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠩⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢑⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡿⠁⠈⣹⣽⣿⣿⣿⣿⣽⣿⣿⡇⠀⠀⠀⢈⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡄⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⢀⣿⣆⣀⡀⢙⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⣾⣿⣿⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡿⠿⣛⣿⣶⣿⣿⣿⣟⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠢⢴⣄⣀⣸⣿⡁⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠈⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣶⡾⠏⢁⣿⣿⣿⣾⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠂⢸⣿⣿⠎⠻⣿⠟⠀⠀⠀⣈⣿⢿⡏⠈⠁⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉
⠋⠋⠙⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣏⢀⡴⠋⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠟⠃⠀⠀⠀⠀⠀⠀⠈⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⡤⠈⠛⠉⡁⠀⠀⠀⣿⠀⠀⠀⠀⠀⢹⠉⢱⣤⣤⣤⣤⡤⠴⠶⢶⣶⣶⣾⣿⣷⣶⣶⣶⣶⣶⣶⣶
⠀⠀⣠⣤⣀⣤⣤⣤⣀⣤⣄⣀⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠁⠀⠀⠀⠀⠀⠀⠀⢀⢀⣤⣶⠀⠀⢸⣇⠀⠀⠉⠻⠶⢤⡀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠘⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⡤⣴⣾⣿⣎⣹⣆⠀⠀⠻⠀⠀⠀⠀⠀⠀⠀⢈⢢⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠿⢿⡿⣿⠿⢿⣿⣿⣷⠄⠀⠀⠠⣤⣶⣾⣿⣶⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⢀⣀⣀⣀⣠⣤⣤⣴⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣀⠤⠦⣾⠛⠁⢰⣿⣿⣿⠶⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣿⣿⠏⠀⢠⣿⣤⣀⣼⡿⠉⠁⠀⠀⠀⠻⣾⣿⣿⠛⠛⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿
⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣶⡀⠀⠀⢰⠟⠁⠀⠀⣸⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⣀⠀⠉⠛⠛⠛⠛⠛
⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣻⣿⣿⡿⠓⠀⠈⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣶⣤⣤⡀⠀⠀
⠀⠈⠛⠛⠋⠉⠉⠀⠀⠉⠉⠛⠛⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⠉⠈⠀⠀⠀⢳⣶⣦⣤⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣴⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⣀⣤⣾⣿⣿⣿⣻⠟⠋⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣯⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣣⣼⣴⣿⣿⣿⡿⠻⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⣛⡁⠈⠀⢔⣒⡂⢿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⡆⠀⢀⣴⣶⣶⣤⠀⣶⣶⡄⣴⣶⡆⣶⣶⣶⡆⢩⣴⣶⣶⣤⠀⠀⠀⣶⣶⡄⠀⣶⣶⡆⣴⣶⡍⢰⣶⠈⣶⣶⡆⣶⣷⢸⣿⣯⢰⣶⡆⣭⣭⣭⣭⣭⣭⣍⣉⣋⣉⣉⣭⣽⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⡇⣿⣿⡇⣿⣿⡇⣿⣿⡇⣿⣿⡏⠁⢸⣿⣇⠿⠿⠀⠀⠀⣿⣿⡇⠀⣿⣿⡇⣿⣿⣷⢸⣿⠀⣿⣿⡇⣿⣿⡀⣿⣿⣾⣿⢁⣛⣛⣛⣛⣛⣻⣿⣿⣿⣿⣟⣻⣯⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⡇⣿⣿⡇⢸⣿⣧⣿⣿⠀⣿⣿⣿⡇⠈⠻⣿⣿⣦⠀⠀⠀⣿⣿⡇⠀⣿⣿⡇⣿⣿⣿⣿⣿⠀⣿⣿⡇⣿⣿⠃⣽⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣇⣀⢸⣿⡇⣿⣿⡇⠸⣿⣿⣿⣿⠀⣿⣿⣇⣀⢸⣿⡆⣿⣿⡇⠀⠀⣿⣿⣇⡀⣿⣿⡇⣿⣿⢹⣿⣿⠀⣿⣿⡇⣿⣿⢀⣿⣿⢻⣿⡎⠻⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠿⠿⠈⠻⠿⠿⠟⠁⠀⠿⠿⠿⠇⠀⠿⠿⠿⠿⠘⠻⠿⠿⠟⠁⠀⠀⠿⠿⠿⠇⠿⠿⠇⠿⠿⠀⠿⠿⠀⠙⠿⠿⠿⠋⠸⠿⠿⠘⠿⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠚⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣶⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣄⣀⣀⣀⣠⣤⣤⣤⣤⣤⣶⣶⣶⣾⣿⣿⡟⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡟⣿⣿⣿⣿⣿⣿⣻⣻⣿⣿⣿⣿⡿⡟⣟⢟⣟⣿⣻⣏⣿⣿⡹⡿⡟⣿⣿⣿⡟⣟⡻⣟⣿⣿⡏⡏⣿⢹⢹⣿⣿⣿⣟⣿⣻⡿⣿⣿⣿⣿⡿⣿⣿⢻⣿⣟⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⡿⡛⣿⣿⡟⣿⣿⡿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣾⣿⣿⣿⣿⣿⣿⣼⣧⣯⣯⣿⣿⣿⣾⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡟⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠛⠻⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡅⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢧⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡟⠁⠈⣹⣽⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢈⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣄⢀⡂⢙⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣶⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠃⠀⠀⠀⠐⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣾⣿⣿⣿⣿⣿⣀⣴⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⠀⠀⢹⣟⠙⠋⠩⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢐⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠈⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣦⣌⣹⡟⠖⣾⣿⣦⣰⣾⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠟⠋⡀⢰⣿⣿⡿⣿⣿⣿⠃⠀⠀⣈⣿⢿⡏⠈⠁⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉
⠉⠋⠙⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡿⠁⢈⡿⠁⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣧⠔⠋⠀⠀⠀⠀⠀⠈⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠠⠤⠾⠟⠁⠀⠀⢻⠀⠀⠀⠀⠀⢿⠉⢱⣤⣤⣤⣤⡤⠴⠶⢶⣶⣶⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶
⠀⠀⣠⣤⣀⣤⣤⣤⣄⣤⣄⣠⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠁⠀⠀⠀⠀⠀⠀⠀⢀⠀⢀⣠⡀⠀⢸⣇⠀⠀⠉⠻⠶⠤⡀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠘⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⢤⣴⣦⣿⣻⡁⠀⠀⠻⠀⠀⠀⠀⠀⠀⠀⢈⢢⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⡿⣷⣿⣿⣿⣿⣿⣿⣧⡄⠀⠀⠠⣤⣶⣾⣿⣶⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⢀⣀⣀⣀⣠⣤⣤⣴⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢡⣾⣧⢀⡀⠤⣽⠟⠉⢱⣿⣿⣿⠶⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⠏⠀⢠⣿⣄⣀⣼⡿⠍⠁⠀⠀⠀⢻⣾⣿⣿⠛⠛⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿
⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⡀⠀⠀⢰⡟⠁⠀⠀⣸⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⣀⠀⠉⠛⠛⠛⠛⠛
⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⠃⠀⠈⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣶⣤⣤⡀⠀⠀
⠀⠈⠛⠛⠋⠉⠉⠈⠉⠉⠉⠻⢻⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⣿⣿⣿⡋⠉⠁⠀⠈⢶⣶⣦⣤⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣶⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⢀⣤⣾⣿⣿⡿⣻⠿⠋⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣯⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣿⣣⣤⣴⣿⣿⣿⡿⠛⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⣙⡁⡈⠠⢔⣒⡂⢿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⡆⠀⢀⣴⣶⣶⣤⠀⣶⣶⡄⣴⣶⡆⣶⣶⣶⡆⢩⣴⣶⣶⣤⠀⠀⠀⣶⣶⡄⠀⣶⣶⡆⣴⣶⡍⢰⣶⠈⣶⣶⡆⣶⣷⢸⣿⣯⢰⣶⡆⢭⣭⣭⣭⣭⣭⣍⣉⣉⣉⣉⣭⣽⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⡇⣿⣿⡇⣿⣿⡇⣿⣿⡇⣿⣿⡏⠁⢸⣿⣇⠿⠿⠀⠀⠀⣿⣿⡇⠀⣿⣿⡇⣿⣿⣷⢸⣿⠀⣿⣿⡇⣿⣿⠀⣿⣿⣾⣿⢁⣛⣛⣛⣛⣛⣿⣿⣿⣿⣿⣛⣻⣯⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⡇⣿⣿⡇⢸⣿⣧⣿⣿⠀⣿⣿⣿⡇⠈⠻⣿⣿⣦⠀⠀⠀⣿⣿⡇⠀⣿⣿⡇⣿⣿⣿⣿⣿⠀⣿⣿⡇⣿⣿⠀⣽⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣇⣀⢸⣿⡇⣿⣿⡇⠸⣿⣿⣿⣿⠀⣿⣿⣇⣀⢸⣿⡆⣿⣿⡇⠀⠀⣿⣿⣇⡀⣿⣿⡇⣿⣿⢹⣿⣿⠀⣿⣿⡇⣿⣿⢀⣿⣿⢻⣿⡎⠻⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠿⠿⠈⠻⠿⠿⠟⠁⠀⠿⠿⠿⠇⠀⠿⠿⠿⠿⠘⠻⠿⠿⠟⠁⠀⠀⠿⠿⠿⠇⠿⠿⠇⠿⠿⠀⠿⠿⠀⠙⠿⠿⠿⠋⠸⠿⠿⠘⠿⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠚⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣶⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣀⣀⣀⣤⣤⣤⣤⣤⣤⣶⣶⣶⣾⣿⣿⡟⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡟⣿⣿⣿⣿⣿⣿⣻⣻⣿⣿⣿⣿⡿⡟⣟⢟⣟⣿⣻⣏⣿⣿⡹⡿⡟⣿⣿⣿⡟⣟⡻⣟⣿⣿⡏⡏⣿⢹⢹⣿⣿⣿⣟⣿⣿⡿⣿⣿⣿⣿⡿⣿⣿⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⡿⡛⣿⣿⡟⣿⣿⡿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣾⣿⣿⣿⣿⣿⣿⣼⣧⣯⣯⣿⣿⣿⣾⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡟⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠈⠉⠀⠈⠉⠉⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠻⡟⠉⠨⣽⣽⣿⣿⣿⣿⣽⣿⣿⡇⠀⠀⠀⢈⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢀⣆⢛⣿⣿⣿⣿⣿⣿⣿⡅⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠀⠀⢠⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠃⠀⠀⠀⠐⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣴⣶⣿⣿⣏⠀⣠⣾⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡿⠿⠿⢟⣻⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢈⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠘⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⡈⠲⣦⣄⣀⣼⣦⠀⣠⣽⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡿⠟⠀⣸⣿⣿⣷⣿⣿⣿⠃⠀⣈⣿⢿⡏⠈⠁⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉
⠉⠋⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡿⠈⢻⡿⠁⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣽⠁⠰⠊⠀⠀⠀⠀⠘⣧⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣿⠟⠃⠀⢿⠀⠀⠀⠀⠀⢿⠉⢱⣦⣤⣤⣤⡤⠶⠶⠶⣶⣾⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶
⠀⠀⣠⣤⣀⣤⣤⣤⣄⣤⣄⣠⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠂⠀⠈⠈⠁⠀⠀⠀⢀⠀⠀⣠⡀⠀⢸⣆⠀⠀⠉⠻⠶⠤⡀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠘⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⢤⣤⣦⣿⣽⣁⠀⠀⠻⠀⠀⠀⠀⠀⠀⠀⢉⣢⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⣷⣾⣿⣿⣿⣿⣿⣧⡄⠀⠀⠠⣤⣶⣾⣿⣶⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⢀⣀⣀⣀⣠⣤⣤⣴⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢡⣾⣧⢀⠀⠤⣽⠟⠉⢰⣿⣿⣿⠶⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠏⠀⢠⣿⣤⣀⣼⡿⠉⠁⠀⠀⠀⠻⣿⣿⣿⠛⠛⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿
⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⡀⠀⠀⠠⡟⠁⠀⠀⣸⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⣀⡀⠉⠙⠛⠛⠛⠛
⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⠇⠀⠈⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⢀⣠⣴⣶⣿⣿⣿⣿⣿⣷⣤⣤⡀⠀⠀
⠀⠈⠛⠙⠉⠉⠉⠈⠉⠉⠉⠛⠿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⡯⠉⠁⠀⠐⣶⣶⣤⣤⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣴⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⢀⣤⣾⣿⣿⡿⣿⠿⠋⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣯⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣿⣣⣤⣶⣾⣿⣿⡿⠻⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⣙⡁⡀⠀⢔⣒⡂⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⡆⠀⢀⣴⣶⣶⣤⠀⣶⣶⡄⣴⣶⡆⣶⣶⣶⡆⢩⣴⣶⣶⣤⠀⠀⠀⣶⣶⡄⠀⣶⣶⡆⣴⣶⡍⢰⣶⠈⣶⣶⡆⣶⣷⢸⣿⣯⢰⣶⡆⣭⣭⣭⣭⣭⣭⣍⣉⣉⣉⣉⣭⣽⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⡇⣿⣿⡇⣿⣿⡇⣿⣿⡇⣿⣿⡏⠁⢸⣿⣇⠿⠿⠀⠀⠀⣿⣿⡇⠀⣿⣿⡇⣿⣿⣷⢸⣿⠀⣿⣿⡇⣿⣿⠀⣿⣿⣾⣿⢁⣛⣛⣛⣛⣛⣻⣟⣟⣿⣿⣛⣻⣭⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⡇⣿⣿⡇⢸⣿⣧⣿⣿⠀⣿⣿⣿⡇⠈⠻⣿⣿⣦⠀⠀⠀⣿⣿⡇⠀⣿⣿⡇⣿⣿⣿⣿⣿⠀⣿⣿⡇⣿⣿⠁⣽⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣇⣀⢸⣿⡇⣿⣿⡇⠸⣿⣿⣿⣿⠀⣿⣿⣇⣀⢸⣿⡆⣿⣿⡇⠀⠀⣿⣿⣇⡀⣿⣿⡇⣿⣿⢹⣿⣿⠀⣿⣿⡇⣿⣿⢀⣿⣿⢻⣿⡎⠻⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠿⠿⠈⠻⠿⠿⠟⠁⠀⠿⠿⠿⠇⠀⠿⠿⠿⠿⠘⠻⠿⠿⠟⠁⠀⠀⠿⠿⠿⠇⠿⠿⠇⠿⠿⠀⠿⠿⠀⠙⠿⠿⠿⠋⠸⠿⠿⠘⠿⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣶⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣀⣀⣀⣤⣤⣤⣤⣤⣴⣶⣶⣶⣾⣿⣿⡟⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡟⣿⣿⣿⣿⣿⣿⣻⣻⣿⣿⣿⣿⡿⡟⣿⢟⣟⣿⣻⣏⣿⣿⡹⡿⡟⣿⣿⣿⡟⣟⡻⣟⣿⣿⡏⡏⣿⢹⢹⣿⣿⣿⣟⣿⣻⡟⣿⣿⣿⣿⡿⣿⣿⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⡿⡛⣿⣿⡟⣿⣿⡿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣾⣿⣿⣿⣿⣿⣿⣼⣧⣯⣯⣿⣿⣿⣾⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡟⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠸⠟⠋⠉⠛⠛⠙⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠀⠀⠹⠀⠉⣹⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢈⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠙⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⣼⣿⣿⣿⣿⣻⣿⣿⣿⣿⠃⠀⠀⠀⠐⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣶⣾⣿⠀⢀⣴⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⣿⣿⣿⣿⡿⢿⣿⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠘⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠀⠦⣴⣀⣀⣸⣿⠐⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⣶⡾⠉⢸⣿⣿⣷⣾⣿⣿⠇⣈⣿⠿⡏⠈⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉
⠉⠋⠙⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⢿⣿⣿⠙⢿⣿⠋⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣛⠃⢠⠞⠁⠀⠀⠘⣧⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡿⠛⣿⠂⠀⠀⠀⠀⢻⠉⠹⣦⣤⣤⣤⡤⠶⠶⠶⣶⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶
⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠃⠀⠀⡀⠉⠉⠀⠀⢠⡀⠀⣀⡀⠀⢸⣇⠀⠀⠉⠻⠶⠤⣄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠘⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⡤⣬⣶⣞⣿⣇⡀⠈⠻⠀⠀⠀⠀⠀⠀⠀⢈⣢⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣾⣿⣿⣿⣿⣿⣷⡄⠀⠀⠠⢴⣶⣿⣿⣷⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⣀⣀⣀⣀⣤⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣴⣿⣀⡀⠦⣼⠋⠉⢱⣿⣿⣿⠶⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⣿⣿⠏⠀⢠⣿⣤⣤⣼⠿⠉⠁⠀⠀⠀⠻⣿⣿⣿⠛⠛⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿
⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣷⡂⠀⠀⠠⡾⠁⠀⠀⣸⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⡀⠉⠉⠉⠛⠛⠛
⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⠇⠀⠈⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⢀⣤⣴⣶⣿⣿⣿⣿⣿⣷⣤⣤⡀⠀⠀
⠀⠈⠋⠉⠉⠉⠉⠁⠁⠉⠉⠛⠿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⡯⠉⠁⠀⢰⣦⣤⣄⣀⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣶⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣯⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⢟⣠⣤⣶⣿⣿⡿⠿⠟⠍⠉⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⣙⡁⡀⠀⢴⣲⣆⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⡆⠀⢀⣴⣶⣶⣤⠀⣶⣶⡄⣴⣶⡆⣶⣶⣶⡆⢩⣴⣶⣶⣤⠀⠀⠀⣶⣶⡄⠀⣶⣶⡆⣴⣶⡍⢰⣶⠈⣶⣶⡆⣶⣷⢸⣿⣯⢰⣶⡆⣭⣭⣭⣭⣭⣭⣍⣉⣭⣭⣭⣭⣽⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⡇⣿⣿⡇⣿⣿⡇⣿⣿⡇⣿⣿⡏⠁⢸⣿⣇⠿⠿⠀⠀⠀⣿⣿⡇⠀⣿⣿⡇⣿⣿⣷⢸⣿⠀⣿⣿⡇⣿⣿⡀⣿⣿⣾⣿⢁⣛⣛⣛⣛⣛⣛⣛⣛⣛⣟⣟⣻⣭⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⡇⣿⣿⡇⢸⣿⣧⣿⣿⠀⣿⣿⣿⡇⠈⠻⣿⣿⣦⠀⠀⠀⣿⣿⡇⠀⣿⣿⡇⣿⣿⣿⣿⣿⠀⣿⣿⡇⣿⣿⡆⣽⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣇⣀⢸⣿⡇⣿⣿⡇⠸⣿⣿⣿⣿⠀⣿⣿⣇⣀⢸⣿⡆⣿⣿⡇⠀⠀⣿⣿⣇⡀⣿⣿⡇⣿⣿⢹⣿⣿⠀⣿⣿⡇⣿⣿⢀⣿⣿⢻⣿⡎⠻⠿⠿⠿⠿⠿⠿⡿⢿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠿⠿⠈⠻⠿⠿⠟⠁⠀⠿⠿⠿⠇⠀⠿⠿⠿⠿⠘⠻⠿⠿⠟⠁⠀⠀⠿⠿⠿⠇⠿⠿⠇⠿⠿⠀⠿⠿⠀⠙⠿⠿⠿⠋⠸⠿⠿⠘⠿⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣶⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣶⣾⣿⣿⡟⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡟⣿⣿⣿⣿⣿⣿⣻⣻⣿⣿⣿⣿⡿⡟⣿⢟⣟⣿⣻⣏⣿⣿⡹⡿⡟⣿⣿⣿⡟⣟⡻⣟⣿⣿⡏⡏⣿⢹⢹⣿⣿⣿⣟⣿⣿⡟⣿⣿⣿⣿⡿⣿⣿⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⡿⡛⣿⣿⣟⣿⣿⡿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣾⣿⣿⣿⣿⣿⣿⣼⣧⣯⣯⣿⣿⣿⣾⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡟⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⠿⠛⠻⠟⠛⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡀⠀⠁⢉⣽⣽⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢙⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡅⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠐⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣶⣾⣿⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢾⣿⣿⣿⡿⢟⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢈⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠘⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠲⢴⣦⣀⣀⣿⡗⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣶⣾⠿⠉⣿⣿⣿⣾⣿⣿⡿⡿⠿⡿⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉
⠋⠉⠙⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⢸⣿⣿⡏⠻⣿⠟⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢛⡋⢀⠼⠁⠀⠈⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⠁⠀⠀⠀⠀⢿⠉⠱⣦⣤⣤⣤⡤⠶⠶⠶⣶⣿⣿⣿⣷⣶⣶⣶⣶⣾⣶⣶
⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠖⠁⠀⠀⠐⠈⠉⠁⣠⡀⠀⣀⣀⠀⢸⣇⠀⠀⠉⠻⠶⠤⣄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠘⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣶⣞⣿⣏⡀⠈⠻⠀⠀⠀⠀⠀⠀⠀⢈⣣⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣾⣿⣿⣿⣿⣿⣿⡄⠀⠀⠠⣴⣶⣿⣿⣷⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⣀⣀⣀⣀⣤⣤⣤⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣤⣿⡀⡀⠤⢼⠋⠉⢱⣿⣿⣿⠶⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⣻⣿⠟⠀⢠⣿⣤⣤⣼⠿⠍⠁⠀⠀⠀⠻⣿⣿⣿⠛⠛⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿
⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣷⡊⠁⠀⠀⡾⠃⠀⠀⣼⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⣀⠉⠉⠉⠛⠛⠛
⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⢀⣠⣴⣶⣿⣿⣿⣿⣿⣿⣦⣤⡀⠀⠀
⠀⠈⠋⠉⠉⠉⠉⠀⠀⠉⠉⠙⠻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⠉⠁⠀⢠⣀⣀⡀⠀⣟⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣮⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⡟⢁⣤⣶⣾⣿⣿⠿⠿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⣛⡁⠈⠀⠼⡾⣇⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⡆⠀⢀⣴⣶⣶⣤⠀⣶⣶⡄⣴⣶⡆⣶⣶⣶⡆⢩⣴⣶⣶⣤⠀⠀⠀⣶⣶⡄⠀⣶⣶⡆⣴⣶⡍⢰⣶⠈⣶⣶⡇⣶⣶⢸⣿⣯⢰⣶⡆⣭⣭⣭⣭⣭⣭⣍⣍⣩⣩⣭⣭⣽⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⡇⣿⣿⡇⣿⣿⡇⣿⣿⡇⣿⣿⡏⠁⢸⣿⣇⠿⠿⠀⠀⠀⣿⣿⡇⠀⣿⣿⡇⣿⣿⣷⢸⣿⠀⣿⣿⡇⣿⣿⡀⣿⣿⣾⣿⢁⣛⣛⣛⣛⣛⣛⣛⣻⣛⣟⣟⣻⣽⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⡇⣿⣿⡇⢸⣿⣧⣿⣿⠀⣿⣿⣿⡇⠈⠻⣿⣿⣦⠀⠀⠀⣿⣿⡇⠀⣿⣿⡇⣿⣿⣿⣿⣿⠀⣿⣿⡇⣿⣿⡇⣽⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣇⣀⢸⣿⡇⣿⣿⡇⠸⣿⣿⣿⣿⠀⣿⣿⣇⣀⢸⣿⡆⣿⣿⡇⠀⠀⣿⣿⣇⡀⣿⣿⡇⣿⣿⢹⣿⣿⠀⣿⣿⡇⣿⣿⢀⣿⣿⢻⣿⡎⠻⠿⠿⠿⠿⠿⠿⠿⢿⣿⢿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠿⠿⠈⠻⠿⠿⠟⠁⠀⠿⠿⠿⠇⠀⠿⠿⠿⠿⠘⠻⠿⠿⠟⠁⠀⠀⠿⠿⠿⠇⠿⠿⠇⠿⠿⠀⠿⠿⠀⠙⠿⠿⠿⠋⠸⠿⠿⠘⠿⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣶⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣀⣀⣠⣤⣤⣤⣤⣤⣴⣶⣶⣶⣾⣿⣿⡟⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡟⣿⣿⣿⣿⣿⣿⣻⣻⣿⣿⣿⣿⡿⡟⣿⢟⣟⣿⣻⣏⣿⣿⡹⡿⡟⣿⣿⣿⡿⣟⡻⣟⣿⣿⡏⡏⣿⢹⢹⣿⣿⣿⣟⣿⣻⣟⣿⣿⣿⣿⡿⣿⣿⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⡿⡛⣿⣿⡟⣿⣿⡿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣾⣿⣿⣿⣿⣿⣿⣼⣧⣯⣯⣿⣿⣿⣾⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡟⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⡿⠿⠿⠟⠛⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠸⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢂⠀⠩⣽⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠐⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣶⣿⣿⡇⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⡿⠿⣻⣷⣾⣿⣷⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢘⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠘⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⡀⠢⣶⣤⣀⣼⣿⡃⣀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣾⡿⠏⢹⣿⣿⣿⣿⣿⡿⠿⠿⠀⠁⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉
⠋⠋⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠂⢿⣿⣿⠙⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡛⢁⠴⠋⠈⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠁⠀⠀⠀⢹⠉⠹⣦⣤⣤⣴⡶⠶⠶⠶⣶⣿⣿⣿⣷⣶⣶⣶⣶⣾⣶⣶
⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠊⠀⠀⠀⠀⠛⠋⣥⡄⠀⣀⣀⠀⢸⣇⠀⠀⠉⠻⠶⠤⣄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠘⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣠⣤⣤⣤⣞⣻⣟⡀⠈⠻⠀⠀⠀⠀⠀⠀⠀⣈⣣⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠠⣴⣶⣿⣿⣷⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⣀⣀⣀⣀⣤⣤⣤⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⢡⣿⡉⡁⠤⢼⠋⠉⢱⣿⣿⣿⠶⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢸⣿⡿⠀⢠⣿⣤⣤⣼⠿⠍⠁⠀⠀⠀⠻⣿⣿⣿⠛⠛⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿
⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡄⠀⠀⠀⢼⠏⠀⠀⣼⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣄⣀⠉⠉⠉⠛⠛⠛
⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣶⠀⠀⠁⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⢀⣠⣤⣶⣿⣿⣿⣿⣿⣿⣤⣤⣀⠀⠀
⠀⠈⠋⠉⠉⠉⠁⠀⠀⠉⠉⠙⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⡋⠉⠁⠀⠀⠀⠀⠀⣟⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⢻⣷⣶⣶⣿⣿⣿⣿⡴⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⠞⣀⣤⣶⣿⣿⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠈⢿⣿⣟⡁⠈⠀⠼⣾⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⡆⠀⢀⣴⣶⣶⣤⠀⣶⣶⡄⣴⣶⡆⣶⣶⣶⡮⢩⣴⣶⣶⣤⠀⠀⠀⣶⣶⡄⠀⣶⣶⡆⣴⣶⡍⢰⣶⠈⣶⣶⡇⣶⣶⢸⣿⣯⢰⣶⡆⢭⣭⣭⣭⣭⣭⣍⣉⣭⣭⣭⣭⣽⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⡇⣿⣿⡇⣿⣿⡇⣿⣿⡇⣿⣿⡏⠉⢸⣿⣇⠿⠿⠀⠀⠀⣿⣿⡇⠀⣿⣿⡇⣿⣿⣷⢸⣿⠀⣿⣿⡇⣿⣿⡀⣿⣿⣾⣿⢁⣛⣛⣛⣛⣛⣛⣛⣛⣛⣿⣟⣻⣭⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⡇⣿⣿⡇⢸⣿⣧⣿⣿⠀⣿⣿⣿⡇⠈⠻⣿⣿⣦⠀⠀⠀⣿⣿⡇⠀⣿⣿⡇⣿⣿⣿⣿⣿⠀⣿⣿⡇⣿⣿⡆⣽⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣇⣀⢸⣿⡇⣿⣿⡇⠸⣿⣿⣿⣿⠀⣿⣿⣇⣀⢸⣿⡆⣿⣿⡇⠀⠀⣿⣿⣇⡀⣿⣿⡇⣿⣿⢹⣿⣿⠀⣿⣿⡇⣿⣿⢀⣿⣿⢻⣿⡆⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠿⠿⠈⠻⠿⠿⠟⠁⠀⠿⠿⠿⠇⠀⠿⠿⠿⠿⠘⠻⠿⠿⠟⠁⠀⠀⠿⠿⠿⠇⠿⠿⠇⠿⠿⠀⠿⠿⠀⠙⠿⠿⠿⠋⠸⠿⠿⠘⠿⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣶⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣄⣀⣤⣤⣤⣤⣤⣤⣴⣶⣶⣶⣾⣿⣿⡟⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡟⣿⣿⣿⣿⣿⣿⣻⣻⣿⣿⣿⣿⡿⡟⣿⢟⣟⣿⣻⣏⣿⣿⡹⡿⡟⣿⣿⣿⡟⣟⡻⣟⣿⣿⡏⡏⣿⢹⢹⣿⣿⣿⣟⣿⣿⣟⣿⣿⣿⣿⡿⣿⣿⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⡿⡛⣿⣿⡟⣿⣿⡿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣾⣿⣿⣿⣿⣿⣿⣼⣧⣯⣿⣿⣿⣿⣾⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡟⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⠿⠿⠛⠛⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⢸⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢃⠀⠩⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠄⠈⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠀⠀⢸⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠐⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣶⣿⣿⡏⠀⣠⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠛⠉⠁⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⡿⠿⣻⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠘⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠿⢿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⠐⣶⣦⣤⣰⣿⣟⢁⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡿⠟⢉⣿⣿⣿⣿⣿⣿⠿⠁⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉
⠋⠋⠙⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠐⠸⣿⣿⠏⢿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣺⢃⠴⠋⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠁⠀⠀⢹⠉⠹⣦⣤⣤⣦⡶⠶⠶⠶⣶⣿⣿⣿⣷⣶⣶⣶⣶⣾⣶⣶
⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠋⠀⠀⠀⢉⠛⣿⠅⠀⠀⡀⠀⢸⣧⠀⠀⠉⠻⠶⠤⣄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠘⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣤⣼⢿⣿⡀⠈⠻⠀⠀⠀⠀⠀⠀⠀⣈⣣⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⠀⠀⠠⣴⣶⣿⣿⣷⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⣀⣀⣀⣀⣤⣤⣤⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠟⣹⡛⢉⣭⢽⠟⠉⢱⣿⣿⣿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡿⠁⢠⣾⣤⣤⣼⠿⠍⠁⠀⠀⠀⠻⣿⣿⣿⠛⠛⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿
⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣁⠀⠀⠀⢨⡟⠁⠀⣼⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣀⡉⠉⠉⠙⠛⠛
⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣷⣶⡄⠀⠘⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⢀⣠⣤⣶⣿⣿⣿⣿⣿⣿⣦⣤⣀⠀⠀
⠀⠈⠉⠉⠉⠁⠀⠀⠀⠉⠉⠙⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⡟⠛⠋⠀⠀⠀⠀⠀⣟⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⢠⣤⣤⣤⣿⣿⣿⣿⡼⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⡖⢀⣠⣤⣾⣿⣿⣿⣿⠟⠊⠁⠀⠀⠀⠀⠀⠀⣿⣿⣟⡁⠈⡀⠼⠾⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⡆⠀⢀⣴⣶⣶⣤⠀⣶⣶⡄⣴⣶⡆⣶⣶⣶⡎⢩⣴⣶⣶⣤⠁⠀⠀⣶⣶⡄⠀⣶⣶⡆⣴⣶⡍⢰⣶⠈⣶⣶⡇⣶⣶⢸⣿⣯⢰⣶⡆⣭⣭⣭⣭⣭⣭⣍⣩⣭⣉⣭⣭⣽⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⡇⣿⣿⡇⣿⣿⡇⣿⣿⡇⣿⣿⡏⠉⢸⣿⣇⠿⠿⠀⠀⠀⣿⣿⡇⠀⣿⣿⡇⣿⣿⣷⢸⣿⠀⣿⣿⡇⣿⣿⡀⣿⣿⣾⣿⢁⣛⣛⣛⣛⣛⣛⣛⣛⣛⣟⣟⣻⣭⣷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⡇⣿⣿⡇⢸⣿⣧⣿⣿⠀⣿⣿⣿⡇⠈⠻⣿⣿⣦⠀⠀⠀⣿⣿⡇⠀⣿⣿⡇⣿⣿⣿⣿⣿⠀⣿⣿⡇⣿⣿⡇⣽⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣇⣀⢸⣿⡇⣿⣿⡇⠸⣿⣿⣿⣿⠀⣿⣿⣇⣀⢸⣿⡇⣿⣿⡇⠀⠀⣿⣿⣇⡀⣿⣿⡇⣿⣿⢹⣿⣿⠀⣿⣿⡇⣿⣿⢁⣿⣿⢻⣿⡆⠻⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠿⠿⠈⠻⠿⠿⠟⠁⠀⠿⠿⠿⠇⠀⠿⠿⠿⠿⠘⠻⠿⠿⠟⠁⠀⠀⠿⠿⠿⠇⠿⠿⠇⠿⠿⠀⠿⠿⠀⠙⠿⠿⠿⠋⠸⠿⠿⠘⠿⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣶⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣶⣾⣿⣿⡟⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡟⣿⣿⣿⣿⣿⣿⣻⣻⣿⣿⣿⣿⡿⡟⣿⢟⣟⣿⣻⣏⣿⣿⡹⡿⡟⣿⣿⣿⡟⣟⡻⣟⣿⣿⡏⡏⣿⢹⢹⣿⣿⣿⣟⣿⣿⣟⣿⣿⣿⣿⡿⣿⣿⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⡿⡛⣿⣿⡟⣿⣿⡿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣾⣿⣿⣿⣿⣿⣿⣼⣧⣯⣯⣿⣿⣿⣾⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡟⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⡿⠿⠿⠛⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⢸⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢃⠈⠹⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⠄⠈⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡅⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠀⠀⣸⣿⣿⣿⣿⣿⠁⠀⠀⠀⠰⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣶⣾⣿⣿⡏⠀⣤⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠛⠛⠋⠁⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣟⣻⣷⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢐⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠘⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⠿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠀⠀⠀⠀⠀⠠⣦⡈⣶⣿⣤⣤⣿⣿⣥⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⠿⠛⣿⣿⣿⣿⣿⣿⠋⠁⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉
⠉⠋⠙⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠐⠂⢿⣿⠏⢻⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⣺⢋⠴⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣲⣿⠟⠁⠀⢸⠉⠱⣦⣤⣤⣶⡶⠶⠶⠶⣾⣿⣿⣿⣷⣶⣶⣶⣿⣿⣶⣶
⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠖⠁⠀⠀⠀⠉⣿⠏⠁⠀⠀⠀⢸⣇⠀⠀⠉⠻⠶⠤⣀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠘⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣀⣀⣀⣼⣷⣿⡃⠈⠟⠀⠀⠀⠀⠀⠀⠀⣈⣢⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⠀⠀⠠⢴⣶⣿⣿⣶⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⣀⣀⣀⣀⣤⣤⣤⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠿⢙⡿⢋⣩⢽⡟⠉⣹⣿⣿⣿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠃⢠⣼⣥⣤⣾⠿⠍⠁⠀⠀⠀⠻⣿⣿⣿⠛⠛⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿
⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⠀⠀⠀⢀⡿⠃⠀⣾⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣄⡉⠉⠉⠉⠉⠉
⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣦⣄⠀⠀⠁⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⣠⣤⣶⣿⣿⣿⣿⣿⣿⣴⣤⣀⠀⠀
⠀⠈⠋⠉⠉⠉⠀⠀⠀⠈⠉⠻⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⡿⠟⠟⠁⠀⠀⠀⠀⣟⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⣀⣀⣀⣿⣿⣿⣿⠷⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⢀⣀⣠⣶⣿⣿⣿⣿⣟⠚⠉⠀⠀⠀⠀⠀⠀⢿⣿⣟⡁⠈⣀⠬⠿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⡆⠀⢀⣴⣶⣶⣤⠀⣶⣶⡄⣴⣶⡆⣶⣶⣶⡎⢩⣴⣶⣶⣤⠉⠀⠀⣶⣶⡄⠀⣶⣶⡆⣴⣶⡍⢰⣶⠈⣶⣶⡇⣶⣶⢸⣿⣯⢰⣶⡆⣭⣭⣭⣭⣭⣭⣍⣍⣭⣩⣭⣭⣽⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⡇⣿⣿⡇⣿⣿⡇⣿⣿⡇⣿⣿⡏⠁⢸⣿⣇⠿⠿⠀⠀⠀⣿⣿⡇⠀⣿⣿⡇⣿⣿⣷⢸⣿⠀⣿⣿⡇⣿⣿⠀⣿⣿⣾⣿⢁⣛⣛⣛⣛⣛⣛⣛⣛⣛⣿⣟⣻⣽⣷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⡇⣿⣿⡇⢸⣿⣧⣿⣿⠀⣿⣿⣿⡇⠈⠻⣿⣿⣦⠀⠀⠀⣿⣿⡇⠀⣿⣿⡇⣿⣿⣿⣿⣿⠀⣿⣿⡇⣿⣿⡅⣽⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣇⣀⢸⣿⡇⣿⣿⡇⠸⣿⣿⣿⣿⠀⣿⣿⣇⣀⢸⣿⡆⣿⣿⡇⠀⠀⣿⣿⣇⡀⣿⣿⡇⣿⣿⢹⣿⣿⠀⣿⣿⡇⣿⣿⢀⣿⣿⢻⣿⡆⠻⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠿⠿⠈⠻⠿⠿⠟⠁⠀⠿⠿⠿⠇⠀⠿⠿⠿⠿⠘⠻⠿⠿⠟⠁⠀⠀⠿⠿⠿⠇⠿⠿⠇⠿⠿⠀⠿⠿⠀⠙⠿⠿⠿⠋⠸⠿⠿⠘⠿⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣶⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⣾⣿⣿⡟⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡟⣿⣿⣿⣿⣿⣿⣻⣻⣿⣿⣿⣿⡿⡏⣿⢟⣟⣿⣻⣏⣿⣿⡹⡿⡟⣿⣿⣿⡟⣟⡻⣟⣿⣿⡏⡏⣿⢹⢹⣿⣿⣻⣟⣿⣿⡟⣿⣿⣿⣿⡿⣿⣿⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⡿⡛⣿⣿⡟⣿⣿⡿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣾⣿⣿⣿⣿⣿⣿⣼⣧⣯⣯⣿⣿⣿⣾⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡟⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠿⠿⠛⠛⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⢸⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⣌⠻⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠥⠈⠻⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠨⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠀⠹⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡴⠀⠀⣿⣿⣿⣿⣿⠁⠀⠀⠀⠰⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣶⣾⣿⣿⣿⣿⡇⢠⣾⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠏⠉⠝⠛⠛⠊⠀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠈⣿⣿⣿⢛⣽⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢐⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠘⠛⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠻⠟⠀⠀⠀⠀⠀⠐⣶⣄⣻⣿⣶⣶⣿⣿⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⠟⠛⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉
⠉⠋⠙⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠈⠁⢻⣿⠃⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⣽⡥⢾⣅⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣿⡿⠋⠀⢸⠉⠹⣦⣤⣤⣶⠶⠶⠶⠶⣶⣿⣿⣿⣷⣶⣶⣶⣷⣿⣷⣶
⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡶⠊⠁⠀⠀⠀⢬⠏⢉⠀⠀⠀⢸⡇⠀⠀⠈⠻⠶⠤⡄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠘⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡀⢀⣀⣀⣀⣼⣿⣿⡀⠘⠇⠀⠀⠀⠀⠀⠀⠀⣈⣣⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣤⠀⠀⠠⢴⣶⣿⣿⣷⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⣀⣀⣀⣀⣤⣤⣤⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠿⢙⡿⢋⣩⢽⡟⠉⣿⣿⣿⣿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠃⢠⣼⣤⣤⣿⠿⠍⠁⠀⠀⠀⠻⢿⣿⡿⠛⠛⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿
⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⢀⣿⠃⠀⣾⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣄⡉⠉⠉⠉⠉⠉
⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣦⡄⠀⠀⠃⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⣠⣤⣶⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀
⠀⠈⠉⠉⠉⠉⠁⠀⠉⠉⠙⠻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⡿⠟⠟⠁⠀⠀⠀⠀⣟⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⣿⡿⣿⣿⠴⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⠆⣀⣠⣴⣾⣿⣿⣿⡟⡓⠋⠀⠀⠀⠀⠀⠀⢹⣿⣿⠁⠈⣀⠬⢿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⡆⠀⢀⣴⣶⣶⣤⠀⣶⣶⡄⣴⣶⡆⣶⣶⣶⡆⢩⣴⣶⣶⣤⠉⠀⠀⣶⣶⡄⠀⣶⣶⡆⣴⣶⡍⢰⣶⠈⣶⣶⡅⣶⣶⢸⣿⣧⢰⣶⡆⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣽⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⡇⣿⣿⡇⣿⣿⡇⣿⣿⡇⣿⣿⡏⠁⢸⣿⣇⠿⠿⠀⠀⠀⣿⣿⡇⠀⣿⣿⡇⣿⣿⣷⢸⣿⠀⣿⣿⡇⣿⣿⡀⣿⣿⣾⣿⢁⣛⣛⣛⣛⣛⣛⣛⣻⣛⣿⣛⣻⣭⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⡇⣿⣿⡇⢸⣿⣧⣿⣿⠀⣿⣿⣿⡇⠈⠻⣿⣿⣦⠀⠀⠀⣿⣿⡇⠀⣿⣿⡇⣿⣿⣿⣿⣿⠀⣿⣿⡇⣿⣿⡀⣽⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣇⣀⢸⣿⡇⣿⣿⡇⠸⣿⣿⣿⣿⠀⣿⣿⣇⣀⢸⣿⡆⣿⣿⡇⠀⠀⣿⣿⣇⡀⣿⣿⡇⣿⣿⢹⣿⣿⠀⣿⣿⡇⣿⣿⢀⣿⣿⢻⣿⡆⠻⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠿⠿⠈⠻⠿⠿⠟⠁⠀⠿⠿⠿⠇⠀⠿⠿⠿⠿⠘⠻⠿⠿⠟⠁⠀⠀⠿⠿⠿⠇⠿⠿⠇⠿⠿⠀⠿⠿⠀⠙⠿⠿⠿⠋⠸⠿⠿⠘⠿⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠈⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣶⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣶⣾⣿⣿⡟⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡟⣿⣿⣿⣿⣿⣿⣻⣻⣿⣿⣿⣿⡿⡏⣿⢟⣟⣿⣻⣏⣿⣿⡻⡿⡟⣿⣿⣿⡟⣟⡻⣟⣿⣿⡏⡏⣿⢹⢹⣿⣿⣿⣟⣿⣿⣟⣿⣿⣿⣿⡿⣿⣿⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⡿⡛⣿⣿⡟⣿⣿⡿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣾⣿⣿⣿⣿⣿⣿⣼⣧⣯⣯⣿⣿⣿⣾⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡟⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠿⠛⠛⠛⠉⠙⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⢸⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⢏⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⢸⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠰⣝⢿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⢂⠙⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠨⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠩⠈⢿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⢼⣿⣿⣿⣿⡇⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣶⠇⠀⣸⣿⣿⣿⣿⠁⠀⠀⠀⠐⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠲⣿⣿⣿⣿⣿⣿⢀⣼⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠿⠛⠛⠓⠀⠀⠀⠀⢠⣤⡀⠀⠀⠀⠀⠀⠀⣀⡀⢀⣀⡅⢢⢸⣿⣿⠿⢭⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢐⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠘⠛⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⠁⠀⠀⠀⠀⠀⠙⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠟⢫⣹⣿⣿⣿⣿⣿⡏⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉
⠉⠋⠙⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣉⣿⠟⣡⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣼⡯⢾⣅⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢤⣀⣼⣿⠏⠀⢸⠉⠹⣦⣤⣤⣶⠶⠶⠶⠶⣾⣿⣿⣿⣷⣶⣶⣶⣾⣿⣷⣶
⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⠉⠀⠀⠀⢰⠎⢉⠀⣀⠀⢸⡆⠀⠀⠈⠻⠶⠤⡄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠘⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣠⣼⣟⣿⣀⠸⠇⠀⠀⠀⠀⠀⠀⠀⣈⣣⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣶⠀⠀⠠⢴⣶⣿⣿⣷⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⣀⣀⣀⣀⣤⣤⣤⣶⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠿⢙⡟⣋⡭⢽⡏⢩⣿⣿⣿⣿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠃⢠⣼⣤⣬⣿⠿⠍⠁⠀⠀⠈⠻⣿⣿⠿⠛⠛⠋⠛⠛⠛⢻⣿⣿⣿⣿⣿
⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⠀⠀⠀⠀⣻⠃⠀⣼⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣄⡈⠉⠉⠉⠉⠉
⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣦⣄⠀⠀⠁⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⣠⣤⣴⣿⣿⣿⣿⣿⣿⣤⣤⣀⠀⡀
⠀⠈⠙⠋⠉⠉⠉⠉⠉⠉⠙⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⡛⠟⠁⠀⠀⠀⠀⣟⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⣿⣿⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠴⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⡆⢀⣠⣴⣾⣿⣿⣿⣟⡟⠋⠀⠀⠀⠀⠀⠀⢸⣿⣿⠁⠈⣀⠬⠿⣧⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⡆⠀⢀⣴⣶⣶⣤⠀⣶⣶⡄⣴⣶⡆⣶⣶⣶⡆⢩⣴⣶⣶⣬⠉⠀⠀⣶⣶⡄⠀⣶⣶⡆⣴⣶⡍⢱⣶⠈⣶⣶⡅⣶⣶⢸⣿⣧⢰⣶⡆⣬⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣽⣷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⡇⣿⣿⡇⣿⣿⡇⣿⣿⡇⣿⣿⡏⠉⢸⣿⣇⠿⠿⠀⠀⠀⣿⣿⡇⠀⣿⣿⡇⣿⣿⣷⢸⣿⠀⣿⣿⡇⣿⣿⠄⣿⣿⣾⣿⢁⣛⣛⣛⣛⣛⣛⣛⣛⣛⣟⣛⣿⣽⣷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⡇⣿⣿⡇⢸⣿⣧⣿⣿⠀⣿⣿⣿⡇⠈⠻⣿⣿⣦⠀⠀⠀⣿⣿⡇⠀⣿⣿⡇⣿⣿⣿⣿⣿⠀⣿⣿⡇⣿⣿⠁⣽⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣇⣀⢸⣿⡇⣿⣿⡇⠸⣿⣿⣿⣿⠀⣿⣿⣇⣀⢸⣿⡇⣿⣿⡇⠀⠀⣿⣿⣇⡀⣿⣿⡇⣿⣿⢹⣿⣿⠀⣿⣿⡇⣿⣿⢀⣿⣿⢻⣿⡆⠻⠿⠿⠿⠿⠿⠿⠿⠿⢿⠿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠿⠿⠈⠻⠿⠿⠟⠁⠀⠿⠿⠿⠇⠀⠿⠿⠿⠿⠘⠻⠿⠿⠟⠁⠀⠀⠿⠿⠿⠇⠿⠿⠇⠿⠿⠀⠿⠿⠀⠙⠿⠿⠿⠋⠸⠿⠿⠘⠿⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣷⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⣾⣿⣿⡟⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡟⣿⣿⣿⣿⣿⣿⣻⣻⣿⣿⣿⣿⡿⡏⣿⢟⣟⣿⣻⣏⣿⣿⡹⡿⡟⣿⣿⣿⡟⣟⡻⣟⣿⣿⡏⡏⣿⢹⢹⣿⣿⣿⣟⣿⣿⡟⣿⣿⣿⣿⡿⣿⣿⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣻⣿⡿⡛⣿⣿⡟⣿⣿⡿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣾⣿⣿⣿⣿⣿⣿⣼⣧⣯⣯⣿⣿⣿⣾⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡟⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡅⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠿⠛⠛⠉⠉⠉⠙⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⢸⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢊⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⢸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢮⠿⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢨⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⢄⡻⣿⣯⣿⣿⣿⡇⠀⠀⠀⠨⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢹⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣶⣶⣿⡏⠀⣸⣿⣿⣿⣿⠁⠀⠀⠀⠠⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠤⡀⠙⣿⣿⣿⣿⡿⣇⣼⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠉⠛⠟⠛⠑⠀⠀⠀⠀⠠⣦⣤⡀⠂⠀⠀⠀⠀⠠⣤⣀⢤⣴⣈⣧⣿⣿⡟⣲⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢐⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠘⠛⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠃⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠟⠋⣆⣿⣿⡿⣿⣿⣿⠏⠀⠀⠀⠈⠁⠈⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉
⠋⠉⠙⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣴⡟⣡⠟⠛⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⣴⡿⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢦⣴⡿⠟⠀⢰⠀⠸⣦⣤⣴⡶⠶⠶⠶⠶⣿⣿⣿⣿⣷⣶⣶⣾⣿⣿⣷⣶
⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡿⠋⠀⠀⠀⠰⠂⢤⣀⡄⠀⣸⡄⠀⠀⠈⠛⠶⠤⡄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠘⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣤⣤⣞⣿⣯⣄⢻⠇⠀⠀⠀⠀⠀⠀⠀⣈⣣⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠀⠀⠠⢴⣶⣿⣿⣷⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⢀⣀⣀⣀⣠⣤⣤⣴⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠟⣹⣟⡥⠖⢺⠃⣴⣾⣿⣿⣿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠁⢠⣿⣬⣿⣿⠿⠉⠁⠀⠀⠈⠻⣿⣿⣿⠛⠛⠋⠙⠛⠛⢻⣿⣿⣿⣿⣿
⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⣽⠃⠀⣼⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣄⡈⠉⠉⠉⠉⠉
⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣿⣿⣦⡦⠀⠀⠁⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⣠⣤⣴⣿⣿⣿⣿⣿⣿⣶⣤⣄⣀⠀
⠀⠈⠋⠛⠋⠉⠉⠉⠉⠉⠛⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⡛⠋⠁⠀⠀⠀⠀⣟⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢻⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⣿⡿⣿⣿⣵⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡄⢀⣠⣴⣾⣿⣿⣿⣿⡳⠋⠀⠀⠀⠀⠀⠀⠈⣿⣿⡁⠈⣀⠬⠿⣇⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⡆⠀⢀⣴⣶⣶⣤⠀⣶⣶⡄⣴⣶⡆⣶⣶⣶⡆⢩⣴⣶⣶⣤⠙⠁⠀⣶⣶⡄⠀⣶⣶⡆⣴⣶⡍⢱⣶⠀⣶⣶⡅⣶⣶⢸⣿⣧⢰⣶⡆⢬⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣽⣷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⡇⣿⣿⡇⣿⣿⡇⣿⣿⡇⣿⣿⡏⠁⢸⣿⣇⠿⠿⠀⠀⠀⣿⣿⡇⠀⣿⣿⡇⣿⣿⣷⢸⣿⠀⣿⣿⡇⣿⣿⠀⣿⣿⣾⣿⢁⣟⣛⣛⣛⣛⣛⣛⣛⣛⣟⣟⣿⣽⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⡇⣿⣿⡇⢸⣿⣧⣿⣿⠀⣿⣿⣿⡇⠈⠻⣿⣿⣦⠀⠀⠀⣿⣿⡇⠀⣿⣿⡇⣿⣿⣿⣿⣿⠀⣿⣿⡇⣿⣿⠀⣽⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣇⣀⢸⣿⡇⣿⣿⡇⠸⣿⣿⣿⣿⠀⣿⣿⣇⣀⢸⣿⡆⣿⣿⡇⠀⠀⣿⣿⣇⡀⣿⣿⡇⣿⣿⢹⣿⣿⠀⣿⣿⡇⣿⣿⢀⣿⣿⢻⣿⡆⠻⠿⠿⠿⠿⠿⠿⠿⠿⢿⠿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠿⠿⠈⠻⠿⠿⠟⠁⠀⠿⠿⠿⠇⠀⠿⠿⠿⠿⠘⠻⠿⠿⠟⠁⠀⠀⠿⠿⠿⠇⠿⠿⠇⠿⠿⠀⠿⠿⠀⠙⠿⠿⠿⠋⠸⠿⠿⠘⠿⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣷⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⣾⣿⣿⡟⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 1115

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

(ℹ) Images, hyperlinks and comments at http://techrights.org/2022/07/28/gradual-death-of-twitter/#comments
    Gemini version at gemini://gemini.techrights.org/2022/07/28/gradual-death-of-twitter/

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 07.28.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


Gemini_version_available_♊︎


✐ Twitter_is_Dying,_Based_on_Its_Own_Numbers_(Which_It_Can_Barely_Fake_Anymore,
for_Fear_of_Getting_Caught_by_Elon_Musk_and_His_Lawyers)⠀✐


Posted in Deception at 2:15 pm by Dr. Roy Schestowitz


Video_download_link | md5sum 3165cba5a977477568cffb4e3472ec38
Twitter is Dying, But is All Social Control Media Dying?
Creative Commons Attribution-No Derivative Works 4.0


http://techrights.org/videos/twitter-dying-rapidly.webm


Summary: Judging by comparable trends in Twitter analytics, traffic is going
down as activity levels generally decrease; Facebook has experienced the same
thing lately and Microsoft lays off LinkedIn staff, so there's_consistency


THE state of Twitter as a company (never mind as a platform) is truly awful.
It’s a miracle that anyone at all would want to buy a company that operates at
a loss and almost always operated at a loss since its inception. The video
above explained the history of losses — billions in losses (cumulative)
shouldered by investors like the Saudi “royal” family.


A few months ago we started writing about what the Musk takeover bid meant [1,
2, 3, 4]. The short story is, he quickly realised he was going to pay for a
clickfarm, which lies about its size and importance. I’ve decided (after the
video) to reproduce the screenshot below for some context (that could not be
shown in the video above due to lack of clear annotation of key dates).


Hopefully that alone tells a story. Quite frankly, it seems rather clear to me
that Twitter is dying, having been there for 13 years (posted nearly a million
tweets with over 100,000,000 impressions). That’s how it is. I’m not in control
of that company’s fate and its fate isn’t something I have a personal stake in
anymore. I just share my sincere observations above (in a video with analytics
for the most part).


For those too busy to listen to a video, I seem to be seeing traffic about 30%
lower (at comparable times), analysing the baseline before Elon Musk’s
escapades and after that (lawsuit).


It seems clear that Facebook and YouTube are also having issues, but that’s a
different subject, better set aside for other videos. We’ve just included some
stories in the latest Daily Links about Facebook’s alarming SEC filing. Expect
layoffs, says the founder and CEO. LinkedIn (Microsoft) started firing many
workers several years ago… it seems like part of a trend across all social
control media. █


   🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇March 13; I quit Twitter start of March; I have posted
      anything in a month!!; Musk enters Twitter, then offers to buy; SEC
              investigation; Musk walks away as traffic is fake⦈
 It should say “have NOT posted anything in a month”; Notice how suddenly the
 number of impression quadrupled for no reason at all (as_I_noted_at_the_time)
  and stayed at that level until the blunder reached the press (plus the_SEC
                                investigation)


⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀
⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀
⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀
⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀
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⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀
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⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀
⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀
⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀
⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀
⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀
⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀
⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀
⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀
⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀
⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀
⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀
⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀
⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀
⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀

                    ䷩ 𝚕𝚒𝚗𝚎 1214

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

(ℹ) Images, hyperlinks and comments at http://techrights.org/2022/07/28/irc-log-270722/#comments
    Gemini version at gemini://gemini.techrights.org/2022/07/28/irc-log-270722/

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 07.28.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


Gemini_version_available_♊︎


✐ IRC_Proceedings:_Wednesday,_July_27,_2022⠀✐


Posted in IRC_Logs at 2:32 am by Needs Sunlight


Also available via the Gemini protocol at:


    * gemini://gemini.techrights.org/irc-gmi/irc-log-techrights-270722.gmi
    * gemini://gemini.techrights.org/irc-gmi/irc-log-270722.gmi
    * gemini://gemini.techrights.org/irc-gmi/irc-log-social-270722.gmi
    * gemini://gemini.techrights.org/irc-gmi/irc-log-techbytes-270722.gmi
Over HTTP:


                                      🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇H                                     🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇HTML5_logs⦈_


                                         #techrights_log_as_HTML5                                                                                  #boycottnovell_log_as_HTML5


                                      🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇H                                     🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇HTML5_logs⦈_


                                    #boycottnovell-social_log_as_HTML5                                                                               #techbytes_log_as_HTML5


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


                                          #techrights_log_as_text                                                                                   #boycottnovell_log_as_text


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


                                     #boycottnovell-social_log_as_text                                                                                #techbytes_log_as_text


                          Enter_the_IRC_channels_now


===============================================================================
§ IPFS Mirrors⠀➾


CID                                              Description     Object type


                                                 IRC log for
 QmRX3oaSf1ovftzQknSC5aVxzj39s4aXtyoLezYPNDhNir #boycottnovell  🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈
                                                 (full IRC log
                                                 as HTML)


                                                 IRC log for
                                                 #boycottnovell
 QmNxsks6jkVTP1DWSzAPNjw6ECh6TMXkFwBtRU8XLZBKCB (full IRC log   🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇text logs⦈
                                                 as plain/ASCII
                                                 text)


                                                 IRC log for
                                                 #boycottnovell-
 QmPQRrE4RwppG7Cj8vjtbr1VcPW4cbPhy4Krk37jP4AFSA social          🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈
                                                 (full IRC log
                                                 as HTML)


                                                 IRC log for
                                                 #boycottnovell-
 QmTbaEmwYeMEHtP9i6ocoviqp1ZrsSMqHJ4uScAKbujbiM social          🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇text logs⦈
                                                 (full IRC log
                                                 as plain/ASCII
                                                 text)


                                                 IRC log for
 QmWLVoyvegAqFNaN8nKoEce9Tm7UnpfSNEJsosjbnKs6PY #techbytes      🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈
                                                 (full IRC log
                                                 as HTML)


                                                 IRC log for
                                                 #techbytes
 QmVHcRfyGrYfMfEE7tW388Ai5FYZHMbyaoJaZ6FHYRAPQC (full IRC log   🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇text logs⦈
                                                 as plain/ASCII
                                                 text)


                                                 IRC log for
 QmZjcoXjaADwa4pexCvCafzQZo2FutHqSg7NqZVsSEJAk8 #techrights     🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈
                                                 (full IRC log
                                                 as HTML)


                                                 IRC log for
                                                 #techrights
 QmZ4wbJfGNFoUmdSo8Mr2BETs9tgudpceXa9pe8edUgfQS (full IRC log   🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇text logs⦈
                                                 as plain/ASCII
                                                 text)


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇IPFS logo⦈


§ Bulletin for Yesterday⠀➾


Local_copy | CID (IPFS): Qmd5sSa6zctA8RcuhbgaMD5PKt4K2aGr7vwBWUT9GrkoLL



                    ䷩ 𝚕𝚒𝚗𝚎 1341

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 07.28.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


Gemini_version_available_♊︎


✐ Links_28/07/2022:_Canonical_is_Promoting_Microsoft_Again,_OPNsense_22.7
Released,_and_Apache_ShenYu_Becomes_Top-Level_Project_(TLP)⠀✐


Posted in News_Roundup at 6:58 pm by Dr. Roy Schestowitz


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * GNU/Linux
          o Desktop/Laptop
          o Server
          o Audiocasts/Shows
          o Kernel_Space
          o Applications
          o Instructionals/Technical
          o Games
          o Desktop_Environments/WMs
                # K_Desktop_Environment/KDE_SC/Qt
                # GNOME_Desktop/GTK
    * Distributions_and_Operating_Systems
          o BSD
          o Fedora_/_Red_Hat_/_IBM
          o Canonical/Ubuntu_Family
          o Open_Hardware/Modding
          o Mobile_Systems/Mobile_Applications
    * Free,_Libre,_and_Open_Source_Software
          o Web_Browsers
                # Mozilla
          o Productivity_Software/LibreOffice/Calligra
          o FSF
          o Programming/Development
                # Python
                # Rust
    * Leftovers
          o Science
          o Pseudo-Open_Source
                # Openwashing
          o Security
                # Fear,_Uncertainty,
                  Doubt/Fear-mongering/Dramatisation
          o Internet_Policy/Net_Neutrality
    * Gemini*_and_Gopher
          o Personal
          o Politics
          o Technical
    * § GNU/Linux⠀➾


          o ⚓ Unix Men ☛ 6_Factors_that_Make_Linux_Important_for_your_Small
            Business⠀⇛


                 A huge number of modern companies know about Linux
                 firsthand. Many of them have been using various
                 distributions in one form or another for many years. It
                 is a large family of open-source operating systems
                 running on a single core. Initially, users used it on
                 their computers, and for many years large companies have
                 been using it to work with servers. Most companies using
                 Linux are large IT organizations.


                 Many people wonder why large companies use it. What are
                 its benefits? Maybe Linux is suitable not only for large
                 companies but also for small and medium businesses.


                 Linux is really of interest not only for large IT
                 companies but also for small and medium-sized businesses.
                 We will cover the top benefits of using this operating
                 system and explain why you should use it.


          o ⚓ Make Use Of ☛ 10_Common_Mistakes_First-Time_Linux_Users_Make⠀⇛


                 Switching to a new operating system is a whole different
                 experience. As the interface and features change, it can
                 take some time to explore and understand the new
                 environment you are working in.


                 Linux is more of a command line-based OS as compared to
                 Windows and macOS, which rely mostly on their graphical
                 user interfaces or GUI. This is one of the reasons why
                 new Linux users often find it confusing and make some
                 beginner mistakes that ultimately dampen their
                 experience.


                 To get the most out of your new Linux device, here are 10
                 mistakes you should avoid as a first-time Linux user.


          o § Desktop/Laptop⠀➾


                # ⚓ Computer World ☛ The_story_behind_Google’s_in-house_desktop
                  Linux_|_Computerworld⠀⇛


                       If you look around Google’s Mountain View, CA
                       offices, you’ll see Windows machines, Chromebooks,
                       Macs — and gLinux desktops. G what, you ask? Well,
                       in addition to relying on Linux for its servers,
                       Google has its very own Linux desktop distribution.


                       You can’t get it — darn it! — but for more than a
                       decade, Google has been baking and eating its own
                       homemade Linux desktop distribution. The first
                       version was Goobuntu. (As you’d guess from the
                       name, it was based on Ubuntu.)


                       [...]


                       To make all this work without a lot of blood,
                       sweat, and tears, Google created a new workflow
                       system, Sieve. Whenever Sieve spots a new version
                       of a Debian package, it starts a new build. These
                       packages are built in package groups since separate
                       packages often must be upgraded together. Once the
                       whole group has been built, Google runs a
                       virtualized test suite to ensure no core components
                       and developer workflows are broken. Next, each
                       group is tested separately with a full system
                       installation, boot, and local test suite run. The
                       package builds complete within minutes, but testing
                       can take up to an hour.


                       Once that’s done, all the new packages are merged
                       with the newest gLinux package pool. Then, when
                       Google decides it’s time to release it into
                       production, the team snapshots that pool. Finally,
                       it rolls out the fresh release to the fleet. Of
                       course, it’s not going to just dump it on users.
                       Instead, it uses Site reliability engineering (SRE)
                       principles such as incremental canarying to make
                       sure nothing goes awry.


                # ⚓ The Register UK ☛ Battle_of_the_retro_Unix_desktops:_NsCDE
                  pitted_against_CDE_•_The_Register⠀⇛


                       If the real CDE is too much hard work for you or
                       for your computer, there’s a new version of the Not
                       So Common Desktop Environment.


                       Very nearly a decade ago, we reported that the
                       official Common Desktop Environment had been made
                       open source. In its day, CDE was pretty much the
                       unified desktop environment for commercial Unix
                       OSes: it ran on almost every proprietary Unix and
                       Unix-like OS there was, from IBM AIX to DEC’s
                       Tru64, even on DEC’s OpenVMS.


                # ⚓ LWN ☛ Android_apps_on_Linux_with_Waydroid_[LWN.net]⠀⇛


                       It is not uncommon for users to want to run a
                       program targeted to one operating system on another
                       type of system. With the increasing prevalence of
                       smartphones, Android has become the world’s most
                       widely used operating system. So users may want to
                       run Android apps on Linux systems in order to get
                       access to a game or other app that is not available
                       in a Linux version or to develop mobile apps on
                       their desktop system. The Waydroid project provides
                       a way to run those apps on Linux, which means they
                       can run on a variety of devices, including Linux-
                       based smartphones like the PinePhone.


                       Waydroid is similar in concept to the Windows
                       compatibility layer Wine. The fact that Android
                       runs on the Linux kernel makes properly running
                       Android apps on other Linux systems much simpler
                       than doing so for Windows software. It is not
                       possible to simply run Android apps directly on a
                       regular Linux operating system, though, because
                       they depend on a different user-space environment.
                       However, by using kernel features such as
                       namespaces, it is possible to run the entire
                       Android user space in a container on a Linux
                       system. This is the technique used by Waydroid; it
                       runs a complete Android system in a container in
                       much the same way that it is possible to, for
                       example, run Debian in a container on Fedora. That
                       allows Waydroid to have better performance than it
                       would have running in a virtual machine or an
                       emulator.


                # ⚓ Digital Trends ☛ This_Lenovo_ThinkPad_with_Linux_just_got_a
                  $1,000_price_cut [Ed: While Lenovo BLOCKS Linux for booting
                  on other laptop, serving Microsoft's agenda...]⠀⇛


                       Linux users can get in on some of the laptop deals
                       taking place right now, as Lenovo has discounted
                       its popular ThinkPad X1 Carbon Gen 9 laptop, and
                       this model includes Linux. Right now you can
                       purchase the laptop for just $1,238, which is a
                       massive savings of nearly $1,100, as it regularly
                       costs $2,336. You’ll need to use the eCoupon code
                       THINKCTODEAL1 at checkout, and businesses,
                       students, and teachers are eligible to save up to
                       an extra 5% as well. If you’d like to expand your
                       screen real estate with this impressive laptop, you
                       can browse some of the desktop monitor deals taking
                       place alongside it.


          o § Server⠀➾


                # ⚓ PostgreSQL ☛ PostgreSQL:_pg_ivm_1.2_released⠀⇛


                       IVM Development Group is pleased to announce the
                       release of pg_ivm 1.2.


                       [...]


                       pg_ivm is an extension module that provides
                       Incremental View Maintenance (IVM) feature.


                       Incremental View Maintenance (IVM) is a way to make
                       materialized views up-to-date in which only
                       incremental changes are computed and applied on
                       views rather than recomputing. pg_ivm provides a
                       kind of immediate maintenance, in which
                       materialized views are updated immediately after a
                       base table is modified.


                # ⚓ Red Hat Official ☛ 5_things_sysadmins_should_know_about
                  software_development_|_Enable_Sysadmin⠀⇛


                       Traditionally, system administrators have been
                       responsible for designing, implementing, and
                       managing hardware and underlying operating systems.
                       However, advances in edge computing, machine
                       learning (ML), and intelligent applications have
                       broadened sysadmins’ scope of work and skillset
                       required for software development projects.


                # ⚓ 3_Cloud-Native_Database_Tools_From_CNCF_–_Container
                  Journal⠀⇛


                       Unless your application is entirely stateless, it
                       will need to store and retrieve persistent data.
                       This is where databases come in — they employ a
                       simple query language that allows authorized users
                       to retrieve and edit data. And now that inroads
                       have been made to enable stateful Kubernetes
                       deployments, many organizations are looking to
                       bring the same scalability advantages of
                       containerization and Kubernetes to database
                       management.


                       Cloud Native Computing Foundation (CNCF) is home to
                       a wide variety of helpful open source projects.
                       These tools span everything from cloud native
                       networking, to continuous integration, scheduling
                       and orchestration and many other areas. Below,
                       we’ll review three CNCF projects that can be used
                       to support cloud-native databases. These tools
                       specifically help scale the management of
                       distributed databases in the cloud.


                # ⚓ InfoQ ☛ Google_Cloud_Introduces_Optimized_Rocky_Linux
                  Images_for_Customers_Moving_Off_CentOS⠀⇛


                       Google recently announced the general availability
                       of Rocky Linux optimized for Google Cloud. The new
                       images are customized variants of Rocky Linux, the
                       open-source enterprise distribution compatible with
                       Red Hat Enterprise.


                       Developed in collaboration with CIQ, the support
                       and services partner of Rocky Linux, the new images
                       are a direct replacement for CentOS workloads.
                       Started by Gregory Kurtzer, the founder of the
                       CentOS project and CEO of CIQ, Rocky Linux is a
                       downstream, binary-compatible release built using
                       the Red Hat Enterprise Linux (RHEL) source code.
                       The distribution was born after Red Hat decided not
                       to provide full updates and maintenance updates for
                       CentOS 8 as initially announced.


                # ⚓ Netcraft ☛ July_2022_Web_Server_Survey [Ed: Microsoft
                  decimated to nothing in Web servers; down sharply on all
                  counts]⠀⇛


                       Apache continues to hold on to the top spot in the
                       market share of the top million busiest sites with
                       22.33%, with nginx in close second at 21.55%. Both
                       however have seen decreases in market share of
                       0.22pp and 0.1pp respectively, with Cloudflare
                       increasing by 0.08pp to 20.26%. If this trend
                       continues, we should expect to see Cloudflare
                       overtake its rivals within the next year.


                # ⚓ Dominique_Dumont:_How_I_investigated_connection_hogs_on
                  Kubernetes [Ed: The problem seems to be Microsoft Azure,
                  which is failing and has layoffs. Avoid Azure.]⠀⇛


                       My name is Dominhique Dumont, DevOps freelance in
                       Grenoble, France.


                       My goal is to share my experience regarding a
                       production issue that occurred last week where my
                       client complained that the applications was very
                       slow and sometime showed 5xx errors. The production
                       service is hosted on a Kubernetes cluster on Azure
                       and use a MongoDB on ScaleGrid.


                       I reproduced the issue on my side and found that
                       the API calls were randomly failing due to timeouts
                       on server side.


                       The server logs were showing some MongoDB
                       disconnections and reconnections and some time-out
                       on MongoDB connections, but did not give any clue
                       on why some connections to MongoDB server were
                       failing.


          o § Audiocasts/Shows⠀➾


                # ⚓ The BSD Now Podcast ☛ BSD_Now_465:_Deep_Space_Debugging⠀⇛


                       Debugging Lisp in Deep Space, 0 Dependency Websites
                       with OpenBSD & AsciiDoc, Deleting old snapshots on
                       FreeBSD, Full multiprocess support in lldb-server,
                       Basic fix between pf tables and macros, and more


                # ⚓ The TLLTS Podcast ☛ The_Linux_Link_Tech_Show_Episode_964⠀⇛


                       Joel and the orville.


                # ⚓ Video ☛ A_potato_can_run_antiX…Lightweight_Linux_ep._3_–
                  Invidious⠀⇛


                       Time to check out the most recommended lightweight
                       Linux distro from the audience – antiX! Color me
                       surprised.


                # ⚓ Video ☛ STOP_Using_Desktop_Icons_On_Windows,_Mac_&_Linux_–
                  Invidious⠀⇛


                       Do you still place icons on your desktop? If so,
                       stop! This isn’t 1990. Desktop icons are a paradigm
                       of the very distant past that no longer make sense
                       on modern operating systems and modern desktop
                       environments.


                # ⚓ Linux in the Ham Shack ☛ LHS_Episode_#476:_SO2SDR_Deep_Dive
                  |_Linux_in_the_Ham_Shack⠀⇛


                       Hello and welcome to the 476th installment of Linux
                       in the Ham Shack. In this deep dive episode, the
                       hosts interview Torsten Clay, N4OGW, the author of
                       so2sdr, a software application for doing single-op,
                       multi-radio contesting. The program allows for
                       logging, rig control, station mapping on a band
                       plot and much more. Thank you for listening to this
                       episode. We hope you find it informative and
                       enjoyable. Have a great week.


                # ⚓ Video ☛ Nokia_Forced_This_FOSS_Project_To_Change_It’s_Name
                  –_Invidious⠀⇛


                       Sometimes big corporations don’t care if small FOSS
                       projects make fan projects, other times there
                       attention will be grabbed as is the case with the
                       Notkia project which recieved a threatening email
                       from the Nokia corporation.


                # ⚓ Video ☛ THE_END_of_Big_Tech_gatekeeping,_and_Intel_ray
                  Tracing_goes_x100_–_Linux_and_open_Source_News_–_Invidious⠀⇛


          o § Kernel Space⠀➾


                # ⚓ LWN ☛ Long-lived_kernel_pointers_in_BPF_[LWN.net]⠀⇛


                       The BPF subsystem allows programmers to write
                       programs that can run safely in kernel space. All
                       memory accesses and function calls in BPF programs
                       are statically checked for safety using the in-
                       kernel verifier, which analyzes programs in their
                       entirety before allowing them to be loaded. While
                       this allows the kernel to safely run BPF programs,
                       it heavily restricts what those programs are able
                       to do. Among these constraints is a rule that
                       programs cannot store pointers into BPF maps for
                       use (such as dereferencing them or passing them to
                       the kernel in kfunc and BPF helper invocations) at
                       a later time. A patch set by Kumar Kartikeya
                       Dwivedi adds this capability to BPF.


                # ⚓ LWN ☛ Sharing_page_tables_with_msharefs_[LWN.net]⠀⇛


                       A page-table entry (PTE) is relatively small,
                       requiring just eight bytes to refer to a 4096-byte
                       page on most systems. It thus does not seem like a
                       worrisome level of overhead, and little effort has
                       been made over the kernel’s history to reduce page-
                       table memory consumption. Those eight bytes can
                       hurt, though, if they are replicated across a
                       sufficiently large set of processes. The msharefs
                       patch set from Khalid Aziz is a revised attempt to
                       address that problem, but it is proving to be a
                       hard sell in the memory-management community.


                       One of the defining characteristics of a process on
                       Linux (or most other operating systems) is a
                       distinct address space. As a result, the page
                       tables that manage the state of that address space
                       are private to each process (though threads within
                       a process will share page tables). So if two
                       processes have mappings to the same page in
                       physical memory, each will have an independent
                       page-table entry for that page. The overhead for
                       PTEs, thus, increases linearly with the number of
                       processes mapping each page.


                # ⚓ LWN ☛ The_BPF_panic_function_[LWN.net]⠀⇛


                       One of the key selling points of the BPF subsystem
                       is that loading a BPF program is safe: the BPF
                       verifier ensures that the program cannot hurt the
                       kernel before allowing the load to occur. That
                       guarantee is perhaps losing some of its force as
                       more capabilities are made available to BPF
                       programs but, even so, it may be a bit surprising
                       to see this proposal from Artem Savkov adding a BPF
                       helper that is explicitly designed to crash the
                       system. If this patch set is merged in something
                       resembling its current form, it will be the
                       harbinger of a new era where BPF programs are, in
                       some situations at least, allowed to be overtly
                       destructive.


                       As Savkov notes, one of the major use cases for BPF
                       is kernel debugging, a task which is also often
                       helped by the existence of a well-timed crash dump.
                       By making the kernel’s panic() function available
                       to BPF programs, Savkov is trying to combine the
                       two by allowing a BPF program to cause a crash —
                       and create a crash dump — when it detects the
                       conditions that indicate a problem that a developer
                       is looking for. Savkov is seemingly not the only
                       one wanting this capability; Jiri Olsa noted that
                       he has gotten a request for this feature as well.


                       Making panic() available to BPF has some obvious
                       hazards, so one would expect that there would be
                       some guard rails put into place. In this case, the
                       first step is a new flag, BPF_F_DESTRUCTIVE, that
                       must be provided when a program that will invoke
                       destructive operations (such as a panic() call) is
                       loaded. If this flag is not present, the BPF
                       verifier will reject the loading of a program that
                       contains calls to any destructive helper functions,
                       of which panic() is the only one (so far).


                       Even then, the panic() helper function is only
                       available to tracing programs. It makes little
                       sense, after all, for an infrared decoder to be
                       able to panic the system, though this restriction
                       will prevent a complete implementation in BPF for
                       remote controls featuring a “panic” button. Then,
                       there is a new sysctl knob
                       (kernel.destructive_bpf_enabled) that must be set
                       to a non-zero value; otherwise the panic() call
                       will not be allowed. Even when the sysctl knob has
                       been set, the process on whose behalf the BPF
                       program is running must have the CAP_SYS_BOOT
                       capability.


                # ⚓ WCCF Tech ☛ Intel_Sapphire_Rapids_Xeon_CPUs_To_Feature
                  Increased_Power_Saving_On_Linux_Thanks_To_New_Firmware⠀⇛


                       Intel has been preparing Idle driver support for
                       the company’s next-gen Xeon CPUs, codenamed
                       “Sapphire Rapids”, over the last five months.
                       Michael Larabel of Phoronix notes that there is
                       still a limitation within the upcoming Intel
                       Scalable CPUs. The processor power state handling
                       is mutually exclusive; specifically, core C-states
                       (C-states) C1 and C1E, or “C1 Enhanced”. The
                       company has been unable to activate both C-states
                       simultaneously, but with the current firmware
                       update published by Intel, it appears a fix has
                       been manufactured.


                # ⚓ WCCF Tech ☛ AMD_Adds_Last-Minute_RDNA_3_GPU_Driver_Support
                  Core_For_Linux_5.20⠀⇛


                       Leave it to AMD to continue to add some last-minute
                       coding before the merge window for Linux 5.20
                       opening next week, reports Michael Larabel of the
                       website Phoronix. Typically, cutoffs for any
                       feature work placed into the DRM-Next queue for
                       each Linux kernel cycle ends near the “-rc6″ point
                       of the cycle. The closing window has yet to stop
                       AMD from attempting to ensure any finalizing of
                       drivers for the upcoming Linux 5.20 kernel for
                       their upcoming RDNA 3 graphics architecture.


          o § Applications⠀➾


                # ⚓ Ubuntu Pit ☛ Notepad_Next:_The_Best_Substitute_to_Notepad++
                  for_Linux_Users⠀⇛


                       Undoubtedly, Notepad Next is an amazing alternative
                       to Notepad++ for Linux users. Notepad Next stands
                       out with a similar interface to Notepad++ and
                       cross-platform support. However, we all know
                       Notepad++ as a popular source code editor for
                       Windows users. It gradually becomes the best
                       alternative to Notepad for Windows because it has
                       more features. Alas! Notepad++ is not available for
                       Linux enthusiasts.


                       Though a Snap package of Notepad++ is available for
                       Linux users, it’s not up to the mark. Therefore, I
                       discovered something that tries to provide a
                       refined version of Notepad++ for Linux users. Yes,
                       I’m talking about Notepad Next.


                       Simply Put, for Linux users, Notepad Next is trying
                       to re-implement the features that Snap package
                       Notepad++ offers along with a similar-looking
                       interface. Isn’t it interesting? Let’s dig it deep
                       with me.


                # ⚓ Medevel ☛ EasyOCR:_A_Free_Open-source_OCR_That_Supports_80+
                  Languages⠀⇛


                       EasyOCR is a free developer-friendly OCR “Optical
                       Character Recognition” that supports 80+ languages
                       including Latin, Chinese, Arabic, and Cyrillic.


                       EasyOCR is written in the Python programming
                       language. It can be installed as a Python package,
                       and integrates well with other Python Frameworks
                       like Django, Flask, and others.


          o § Instructionals/Technical⠀➾


                # ⚓ H2S Media ☛ Solve_Error:_Cannot_initiate_the_connection_to
                  in.archive.ubuntu.com:80⠀⇛


                       If you are facing a problem “Cannot initiate the
                       connection to in.archive.ubuntu.com:80” error while
                       performing the system update or installing some
                       application then here is the solution.


                       Linux can make new users a little annoying when
                       some warning or error appears, however, resolving
                       errors is the best way to get one step closer to
                       becoming an experienced Linux user. However, coming
                       to the point, i.e how to solve this error.


                       Such an error appears when the default repository
                       servers are not reachable by our system. In such a
                       case, we can switch to the main servers of Ubuntu
                       to download and install the required packages on
                       our system.


                # ⚓ Medium ☛ A_Headless_computer_with_SSH_and_Linux_+_Bonus
                  [Ed: Microsoft proprietary spyware? No thanks ("+ BONUS
                  VSCode")]⠀⇛


                       The purpose of this article is to demonstrate how
                       to connect to a single-board-computer like
                       RaspberryPi, Rock64, or more generally a system
                       with a Linux OS. This connection via SSH allows the
                       user to execute commands on the remote machine from
                       another machine.


                # ⚓ AddictiveTips ☛ How_to_run_Apple_Safari_on_Linux⠀⇛


                       If you need Safari on your Linux PC, you’ll be
                       happy to know that it is possible to install it. In
                       this guide, we’ll show you exactly how you can set
                       up Apple Safari on Linux.


                # ⚓ TechRepublic ☛ How_to_install_Flatpak_and_Snap_on_Arch
                  Linux_and_why_you_should_|_TechRepublic⠀⇛


                       Arch Linux is powerful. It’s also very reliable,
                       secure and all the things that make Linux such a
                       great operating system. However, one thing that
                       prevents many new users from adopting this
                       distribution is its complexity. Arch Linux is
                       simply not Ubuntu. And while there are tools such
                       as the Octopi package manager GUI that make Arch
                       easier to use, it can still be difficult to get
                       applications such as Spotify installed with ease.


                       Sure, you can add the AUR repository, but even then
                       Arch makes you trudge through a never-ending cycle
                       of dependencies. Software installation alone on
                       Arch Linux can permanently turn a new user away
                       from the platform.


                       What do you do? You turn to Flatpak and Snap.


                # ⚓ TechRepublic ☛ How_to_deploy_the_Restya_Kanban_board_in
                  minutes_with_Docker_|_TechRepublic⠀⇛


                       Jack Wallen walks you through the process of
                       deploying Restya with Docker so you can start using
                       Kanban boards in minutes.


                       I love a good Kanban board. Whether you go with a
                       third-party host or host the boards yourself, there
                       are tons of options available. Given my penchant
                       for Linux, I tend to aim for open source solutions
                       whenever possible.


                       Restyaboard is one such open source option for
                       anyone looking to deploy an easy-to-use, feature-
                       rich Kanban platform. Restyaboard includes
                       everything you’ll need for a Kanban solution, such
                       as multiple books, drag and drop, list copy,
                       attachments, archive, private and public boards,
                       filters, deadlines, built-in calendar, labels, iCal
                       feed and custom board backgrounds. I show you how
                       you can get Restya deployed in minutes with the
                       help of Docker.


                # ⚓ HowTo Forge ☛ How_to_Set_Up_MariaDB_Master-Master
                  Replication_on_Debian_11⠀⇛


                       This tutorial will go over how to set up MariaDB
                       Master-Master Replication on Debian 11 Servers.
                       Additionally, we will go over how to synchronize
                       time using Chrony between MariaDB servers.


                # ⚓ Linux Capable ☛ How_to_Install_Citra_on_Ubuntu_22.04_LTS_–
                  LinuxCapable⠀⇛


                       Citra is an experimental open-source Nintendo 3DS
                       emulator/debugger written in C++. It is written
                       with portability, with builds actively maintained
                       for Windows, Linux, and macOS. Citra emulates a
                       subset of 3DS hardware and therefore is useful for
                       running/debugging homebrew applications, and it is
                       also able to run many commercial games!


                       The project was founded in 2014 and has since seen
                       over 150 contributors! The team is very active and
                       regularly releases new updates. The list of
                       contributors can be found on GitHub. Citra is not
                       affiliated with Nintendo. However, the company has
                       expressed support for the project. In 2019, a
                       Nintendo employee even contributed code to Citra!
                       This shows that Nintendo is open to unofficial
                       projects like Citra, as long as they are not
                       harmful to the company’s business. Thanks to the
                       hard work of the Citra team, fans of Nintendo 3DS
                       games can enjoy their favorite titles on their PC
                       or phone.


                       In the following tutorial, you will learn how to
                       install Citra on Ubuntu 22.04 LTS Jammy Jellyfish
                       using two different methods using the command line
                       terminal along.


                # ⚓ TecAdmin ☛ Running_a_Cron_job_every_5_minutes_–_TecAdmin⠀⇛


                       Running a cron job every 5 minutes is a commonly
                       used cron schedule. In this quick how-to article,
                       you will learn to schedule a cronjob to run every 5
                       minutes.


                # ⚓ TechRepublic ☛ Btop_is_a_much-improved_take_on_the_Linux
                  top_command⠀⇛


                       Over the years, I cannot tell you how many times
                       I’ve had to use the Linux top command to
                       troubleshoot problems on both server and desktop
                       deployments. Top has always been one of those tools
                       that never fails to feel as if it should be able to
                       do more but never can. That’s why I’m always on the
                       lookout for a top replacement.


                       When on the desktop, there’s always GNOME System
                       Monitor, which is a very well-designed GUI that
                       makes managing processes very simple. But even that
                       tool has its limitations.


                       So when I came across a tool named btop, I was
                       pretty thrilled to see that it took that old
                       standby and gave it some much-needed features. Not
                       only does btop list out various system usages
                       (memory, disks, network and processes), but it also
                       allows for interaction with the mouse. Even on a
                       server installation, you can point and click your
                       way around btop to view processes as a tree, hide
                       or reveal certain displays, and access an options
                       menu where you can tweak the look and feel of the
                       display.


                # ⚓ MakeTech Easier ☛ How_to_Program_an_Arduino_With_a
                  Raspberry_Pi_–_Make_Tech_Easier⠀⇛


                       Running a program on an Arduino is easy, but have
                       you tried doing it with a Pi? The Raspberry Pi is
                       powerful enough to be a standalone computer and
                       it’s also good enough to program a microcontroller.


                       Here, we’ll use a Raspberry Pi 3 Model B+ to make
                       an Arduino Uno blink an LED!


                # ⚓ TechRepublic ☛ How_to_deploy_the_Restya_Kanban_board_in
                  minutes_with_Docker_|_TechRepublic⠀⇛


                       I love a good Kanban board. Whether you go with a
                       third-party host or host the boards yourself, there
                       are tons of options available. Given my penchant
                       for Linux, I tend to aim for open source solutions
                       whenever possible.


                       Restyaboard is one such open source option for
                       anyone looking to deploy an easy-to-use, feature-
                       rich Kanban platform. Restyaboard includes
                       everything you’ll need for a Kanban solution, such
                       as multiple books, drag and drop, list copy,
                       attachments, archive, private and public boards,
                       filters, deadlines, built-in calendar, labels, iCal
                       feed and custom board backgrounds. I show you how
                       you can get Restya deployed in minutes with the
                       help of Docker.


                # ⚓ TechRepublic ☛ How_to_install_Flatpak_and_Snap_on_Arch
                  Linux_and_why_you_should_|_TechRepublic⠀⇛


                       Arch Linux is powerful. It’s also very reliable,
                       secure and all the things that make Linux such a
                       great operating system. However, one thing that
                       prevents many new users from adopting this
                       distribution is its complexity. Arch Linux is
                       simply not Ubuntu. And while there are tools such
                       as the Octopi package manager GUI that make Arch
                       easier to use, it can still be difficult to get
                       applications such as Spotify installed with ease.


                       Sure, you can add the AUR repository, but even then
                       Arch makes you trudge through a never-ending cycle
                       of dependencies. Software installation alone on
                       Arch Linux can permanently turn a new user away
                       from the platform.


                       What do you do? You turn to Flatpak and Snap.


                # ⚓ ID Root ☛ How_To_Install_KDE_Plasma_on_Ubuntu_22.04_LTS_–
                  idroot⠀⇛


                       In this tutorial, we will show you how to install
                       KDE Plasma on Ubuntu 22.04 LTS. For those of you
                       who didn’t know, KDE is a free, open-source desktop
                       environment for those unfamiliar with KDE Desktop.
                       It provides Linux users with an alternative
                       graphical interface to customize their desktop
                       environment and applications for everyday use
                       enhancement. The community of KDE developed 200
                       plus applications that are supported by Linux-based
                       operating systems such as Krita, Kdenlive,
                       Kdevelop, GCompris, and so on.


                       This article assumes you have at least basic
                       knowledge of Linux, know how to use the shell, and
                       most importantly, you host your site on your own
                       VPS. The installation is quite simple and assumes
                       you are running in the root account, if not you may
                       need to add ‘sudo‘ to the commands to get root
                       privileges. I will show you the step-by-step
                       installation of KDE Plasma on Ubuntu 22.04 (Jammy
                       Jellyfish). You can follow the same instructions
                       for Ubuntu 22.04 and any other Debian-based
                       distribution like Linux Mint, Elementary OS,
                       Pop!_OS, and more as well.


                # ⚓ HowTo Geek ☛ What_Is_umask_in_Linux,_and_How_Do_You_Use
                  It?⠀⇛


                       In Linux, all directories and files have access
                       permissions. You can use chmod to set your
                       preferred access rights for different users. But
                       what decides their default permissions? Let’s talk
                       about umask.


          o § Games⠀➾


                # ⚓ Godot Engine ☛ Godot_Engine_–_Release_candidate:_Godot_3.5
                  RC_8⠀⇛


                       The upcoming Godot 3.5 is now considered feature
                       complete, and has received a lot of bugfixes and
                       improvements over the past weeks thanks to all the
                       testers and developers who reported and fixed
                       issues. We are now at the Release Candidate stage,
                       finalizing everything so that we can release 3.5-
                       stable for all users.


                # ⚓ Godot Engine ☛ Godot_Engine_–_Dev_snapshot:_Godot_4.0_alpha
                  13⠀⇛


                       We just announced that we’ll enter feature freeze
                       next week to focus on stabilizing the existing
                       functionality in Godot 4.0 and prepare the first
                       beta release. But we’re not there yet and we’ll
                       keep having frequent alpha builds until we’re ready
                       to slap the beta label on the engine. So here we go
                       with 4.0 alpha 13!


                # ⚓ Godot Engine ☛ Godot_4.0_development_enters_feature_freeze
                  ahead_of_the_first_beta⠀⇛


                       We’re determined to deliver a stable release of
                       Godot 4.0 as soon as possible. To achieve this, we
                       need to shift the focus from implementing new and
                       exciting features towards stabilizing the existing
                       functionality and fixing bugs.


                       The road to Beta 1


                       With that in mind, effective August 3rd we’re
                       entering a feature freeze stage, and no changes to
                       the roadmap for Godot 4.0 will be expected. If you
                       have pending work that you absolutely want to see
                       in Godot 4.0, submit it before August 3rd. You can
                       either open a pull request or contact the
                       Production team directly for your work to be
                       considered.


                # ⚓ GCompris:_Progress_Blog_–_The_Gcompris_Ivy⠀⇛


                       In the last edition, I was talking about adding an
                       appropriate dataset to the Comparator Activity.
                       This blog majorly consists of its implementation
                       and the new changes that we now have in the
                       comparator.


                       [...]


                       Other issues investigated included making the
                       layout responsive for different screen sizes,
                       handling errors in the log, fixing the logic to
                       avoid multiple wins, adding consistency in variable
                       declarations and their datatypes, adding canvas to
                       the entire exercise view zone, and some issues that
                       arose as a result of the activity’s restructuring,
                       such as selection on tapping the rows and default
                       selection of the first row when the activity opens.


                       Apart from this, dividing the repeated code
                       snippets into a separate component file and
                       keyboard binding for the activity have also been
                       implemented this time.


          o § Desktop Environments/WMs⠀➾


                # § K Desktop Environment/KDE SC/Qt⠀➾


                      # ⚓ KF5’s_big_ramp_of_deprecations_to_KF6_|_Attracted_by
                        virtual_constructs⠀⇛


                             A major part of the on-going preparations of
                             version 6 of the KDE Frameworks is to see
                             that the API breakage due to happen versus
                             version 5 is mostly an API dropage. And
                             software using KDE Frameworks 5 can already
                             find and use the future-proof API in the
                             version 5 series, next to the legacy one. So
                             that the very hurdle to take on porting from
                             KF5 to KF6 is minimal, ideally just changing
                             “5” to “6”, once one has managed to get rid
                             of using the legacy API. This also matches
                             the approach taken by Qt for Qt5 & Qt6, so
                             there is a common API consumer experience.
                             And adding new API already in KF5 allows to
                             field-test its practicability, so KF 6.0
                             starts with proven API.


                # § GNOME Desktop/GTK⠀➾


                      # ⚓ Hari Rana ☛ libadwaita:_Fixing_Usability_Problems_on
                        the_Linux_Desktop_|_TheEvilSkeleton⠀⇛


                             libadwaita is a huge controversy in the Linux
                             desktop community, because of GNOME’s stance
                             towards themes.


                             I have heard a lot of misinformation
                             surrounding GTK4 and libadwaita, mainly based
                             on misunderstanding. I’d like to take some
                             time to explain what GTK4 and libadwaita are,
                             why GNOME decided to go this route and why
                             it’s a huge step in the right direction.


    * § Distributions and Operating Systems⠀➾


          o ⚓ The Register UK ☛ Garuda_Linux_‘Talon’:_Arch,_but_different,_and
            better_•_The_Register⠀⇛


                 Garuda Linux brings an important feature to the Arch
                 world: snapshots and rollback.


                 Garuda Linux is an Arch derivative founded by Indian
                 developer Shrinivas Vishnu Kumbhar, and named – as is the
                 national airline of Indonesia – after the Hindu demigod
                 who is the flying mount of Vishnu. Garuda is one of the
                 newer distros we’ve looked at, founded in 2020.


                 We have recently looked at Arch Linux itself, and a
                 couple of Garuda’s other relatives – Manjaro Linux and
                 EndeavourOS. Like its progenitor, Garuda is a rolling-
                 release distro, but it periodically issues updated ISO
                 images for installing new machines, so we took the new
                 mid-July snapshot, codenamed “Talon”, as a chance to take
                 a look. We tried the Xfce version, but the selection of
                 desktops is comprehensive: both a Mac-like tuned KDE
                 edition, a KDE Lite version and a KDE-Git edition, plus
                 GNOME, Cinnamon, LXQt, and MATE, and a choice of tiling
                 window managers: Wayfire, Sway, i3WM, and Qtile.


                 Up front, Garuda has quite startling system requirements:
                 it wants a full 30GB for its root partition, which is two
                 or three times more than most distros ask. There is a
                 good reason, though: Garuda formats the root partition
                 with Btrfs, and uses the Snapper tool developed by SUSE.


          o ⚓ Barry Kauler ☛ French_langpack_update⠀⇛


                 JJM (esmourguit in the forum) has sent me updates for the
                 French langpack.


          o ⚓ Barry Kauler ☛ Streaming_video_removed_from_pupRadio⠀⇛


                 pupRadio streamed online radio and TV stations; however,
                 it was discussed on the forum that most of the TV URLs
                 didn’t work. Philh (forum name) has contributed to
                 pupRadio over the years, and has now taken out the
                 “pupTelly” component, so it now only steams audio.


          o § BSD⠀➾


                # ⚓ OPNsense_22.7_released⠀⇛


                       For more than 7 and a half years now, OPNsense is
                       driving innovation through
                       modularising and hardening the open source
                       firewall, with simple
                       and reliable firmware upgrades, multi-language
                       support, fast adoption
                       of upstream software updates as well as clear and
                       stable 2-Clause BSD
                       licensing.


                       22.7, nicknamed “Powerful Panther”, features the
                       upgrade to FreeBSD 13.1,
                       PHP 8.0, Phalcon 5, stacked VLAN and Intel
                       QuickAssist (QAT) support,
                       DDoS protection using SYN cookies, MVC/API pages
                       for IPsec status and
                       Unbound overrides, new APCUPSD and CrowdSec plugins
                       plus much more.


                       LibreSSL flavour is scheduled for removal at the
                       end of this series
                       and will likely receive no further maintenance.
                       Software failing to
                       work properly starting with Tor will have its
                       plugin removed from the
                       flavour from now on to be able to keep updating the
                       software to their
                       latest versions in the OpenSSL flavour. The next
                       major upgrade will
                       automatically transition to the OpenSSL flavour,
                       but we would encourage
                       everyone to switch between 22.7.x for the least
                       amount of possible impact.


                       Download links, an installation guide[1] and the
                       checksums for the images
                       can be found below as well.


          o § Fedora / Red Hat / IBM⠀➾


                # ⚓ Red Hat Official ☛ Red_Hat_Satellite_6.11.1_has_been
                  released⠀⇛


                       We are pleased to announce that Red Hat Satellite
                       6.11.1 is generally available as of July 27, 2022.


                       Red Hat Satellite is part of the Red Hat Smart
                       Management subscription that makes it easier for
                       enterprises to manage patching, provisioning, and
                       subscription management of Red Hat Enterprise Linux
                       infrastructure.


                # ⚓ Enterprisers Project ☛ Soft_skills_in_IT:_10_CIOs_share
                  career_advice⠀⇛


                       What makes a great leader? Some of the most
                       important and inspirational qualities have little
                       to do with technology.


                       Recently, finalists in the 2022 National CIO of the
                       Year ORBIE Awards each shared a piece of advice
                       they had collected over their careers. We’ve
                       rounded up the ten best quotes on soft skills
                       below. Read on, or download the complete quote book
                       for advice on leadership, soft skills, career
                       development, strategy, and more.


                # ⚓ Enterprisers Project ☛ Low-code_data_science_platforms:_3
                  things_IT_leaders_should_know⠀⇛


                       Organizations across industries are turning to data
                       and analytics to solve business challenges. A
                       survey by New Vantage Partners found that 91
                       percent of enterprises have invested in AI.
                       However, the same study found that just 26 percent
                       of these firms have AI in widespread production.


                       Organizations are struggling to solve business
                       challenges with AI. They find that building machine
                       learning (ML) applications takes time and requires
                       expensive maintenance and talent that’s in short
                       supply. Leaders say that over 70% of data science
                       projects report minimal or zero business impact.


                       Here’s how low-code ML platforms can help tackle
                       these challenges.


                # ⚓ NeuroFedora ☛ The_NeuroFedora_Blog:_Next_Open_NeuroFedora
                  meeting:_1_August_1300_UTC⠀⇛


                       Please join us at the next regular Open NeuroFedora
                       team meeting on Monday 18 July at 1300 UTC. The
                       meeting is a public meeting, and open for everyone
                       to attend.


          o § Canonical/Ubuntu Family⠀➾


                # ⚓ Ubuntu ☛ Compassionate_doc_|_Ubuntu [Ed: Canonical Says It
                  “Want[s] to be the Best Open-Source Company in the World”,
                  Then Promotes Microsoft’s Proprietary Surveillance While
                  Microsoft Attacks Linux]⠀⇛


                       The wonderful people that make up Canonical have a
                       goal: We want to be the best open-source company in
                       the world, period.


                       I think it’s also a goal that’s espoused by our
                       management, but that doesn’t take away from the
                       fact that every person who works here probably
                       wants to make the world a better place, probably
                       through open-source software. It’s in our blood.


                       I’m really here because I want to write great
                       documentation. Technical writers sometimes enjoy a
                       rather low standard of excellence, to be honest.
                       I’m very happy when someone finds a tiny little
                       mistake in an obscure code example near the bottom
                       of a long article; that means they’re reading it,
                       and that’s often the main criteria of success for
                       documentation. But that’s not the main criterion
                       for me.


                # ⚓ Ubuntu ☛ Automotive_fleet_management:_what_OEMs_can_learn
                  from_software_companies_|_Ubuntu⠀⇛


                       One of the main challenges within the automotive
                       industry today is finding a solution that allows
                       for efficient automotive fleet management. As our
                       vehicles become more connected and require more
                       security and safety than ever before, it becomes
                       extremely important to have a fleet management
                       solution that provides seamless software updates,
                       data analysis and other functionalities.


                # ⚓ Neowin ☛ Ubuntu_Confidential_Virtual_Machines_come_to
                  Microsoft_Azure [Ed: Microsoft does not need to buy Canonical
                  if it already controls Canonical]⠀⇛


                # ⚓ Ubuntu ☛ Let’s_get_confidential!_Canonical_Ubuntu
                  Confidential_VMs_are_now_generally_available_on_Microsoft
                  Azure [Ed: Canonical, a division of Microsoft Corp. Microsoft
                  spying means "confidentiality", according to the sellouts at
                  Canonical, who are boosting those who actively attack GNU/
                  Linux instead of filing antitrust complaints.]⠀⇛


          o § Open Hardware/Modding⠀➾


                # ⚓ Hackster ☛ Dual-Core_RISC-V_Linux_at_Your_Fingertips:
                  Hands-On_with_the_StarFive_VisionFive_V1_8GB_SBC_–
                  Hackster.io⠀⇛


                       If you’ve been thinking about investigating the
                       free and open-source RISC-V instruction set
                       architecture, there’s never been a better time —
                       and StarFive is hoping its VisionFive, a single-
                       board computer built around a pair of SiFive RISC-
                       V processor cores, will be just the push you need
                       to jump in and play.


                       With 8GB of RAM, a number of acceleration
                       coprocessors, Linux support, and a familiar 40-pin
                       general-purpose input/output (GPIO) header, the
                       VisionFive ticks a lot of boxes, particularly in
                       the wake of SiFive’s discontinuance of the HiFive
                       Unmatched — but can it pass our hands-on testing?


          o § Mobile Systems/Mobile Applications⠀➾


                # ⚓ Android Police ☛ 8_of_the_best_horror_games_on_Android_in
                  2022⠀⇛


                # ⚓ Make Use Of ☛ 7_Reasons_Why_You_Shouldn’t_Buy_an_Android
                  Gaming_Phone⠀⇛


                # ⚓ Make Use Of ☛ The_10_Best_Online_FPS_Games_for_Android⠀⇛


                # ⚓ CNET ☛ Asus_Zenfone_9_Shows_a_Small_Android_12_Phone_Can
                  Still_Go_Fast_–_CNET⠀⇛


    * § Free, Libre, and Open Source Software⠀➾


          o ⚓ Apache Blog ☛ The_Apache_Software_Foundation_Announces_Apache®
            ShenYu™_as_a_Top-Level_Project_:_The_Apache_Software_Foundation
            Blog⠀⇛


                 The Apache Software Foundation (ASF), the all-volunteer
                 developers, stewards, and incubators of more than 350
                 open source projects and initiatives, announced today
                 Apache® ShenYu™ as a Top-Level Project (TLP).


                 Apache ShenYu is a Java-native API Gateway for service
                 proxy, protocol conversion, and API governance. It
                 provides a component-rich, easy to extend, and simple to
                 deploy API gateway that reduces costs. ShenYu Gateway is
                 written in Java and its components support multiple
                 languages including .NET, Python, Go, and Java, and
                 deployment with Lua, NGINX, Kubernetes, and Docker.


          o § Web Browsers⠀➾


                # § Mozilla⠀➾


                      # ⚓ Mozilla ☛ The_Mozilla_Blog:_Mozilla_celebrates
                        groundbreaking_creators_in_new_docuseries_“Firefox
                        Presents”⠀⇛


                             Different is dope. Firefox has always stood
                             by this. It’s also the mantra of Abby Wren,
                             the woman featured in the pilot episode of
                             our new docuseries, “Firefox Presents.”


                             Launching Friday, April 15, “Firefox
                             Presents” is a documentary series featuring
                             colorful and inspiring creators who each have
                             a unique journey of finding themselves or
                             their community online. We speak with them
                             about how they are using the internet to
                             overcome obstacles, challenge the status quo
                             and express themselves in a way that
                             encourages and inspires other people to feel
                             welcome and safer online.


          o § Productivity Software/LibreOffice/Calligra⠀➾


                # ⚓ Caolán_McNamara:_GTK4:_Toolbar_popups_via_GtkPopovers⠀⇛


                       Bootstrapped using GtkPopovers to implement popups
                       from LibreOffice’s main menubars for GTK4.


          o § FSF⠀➾


                # ⚓ FSF ☛ Free_Software_Directory_meeting_on_IRC:_Friday,_July
                  29,_starting_at_12:00_EDT_(16:00_UTC)⠀⇛


                       Help improve the Free Software Directory (FSD) by
                       adding new entries and updating existing ones.
                       Every Friday we meet on IRC in the #fsf channel on
                       Libera.Chat.


          o § Programming/Development⠀➾


                # ⚓ You_should_use_ReadonlyArray_in_your_React_state_|_Tiger
                  Oakes⠀⇛


                       If you’ve ever written any React code, you’ve
                       probably used arrays to represent state: an array
                       of todo items, articles fetched from the server,
                       and more. But sometimes React doesn’t update after
                       you change that state. Usually, that’s because you
                       mutated an array instead of copying it – a mistake
                       easily prevented by using read-only types like
                       ReadonlyArray. Here’s why you should start
                       switching to read-only!


                # ⚓ Medevel ☛ React_Studio:_A_Real-time_RAD_Editor_and
                  Prototyping_tool_for_React_Developers_and_Designers⠀⇛


                       React Studio is a free IDE and RAD tool for
                       designers and developers that allows them in
                       designing, prototyping, and building production-
                       ready React apps.


                       The app is currently available for macOS 10.12 and
                       later, it supports dynamic data, and comes with a
                       rich and advanced visual layout editor.


                       React Studio supports progressive web apps (PWA)
                       out-of-the-box, which work seamlessly on mobile
                       platforms such as iOS, Android, as well as
                       Chromebooks.


                # ⚓ Julia Evans ☛ A_toy_remote_login_server⠀⇛


                       Hello! The other day we talked about what happened
                       when you press a key in your terminal.


                       As a followup, I thought it might be fun to
                       implement a program that’s like a tiny ssh server,
                       but without the security. You can find it on github
                       here, and I’ll explain how it works in this blog
                       post.


                       the goal: “ssh” to a remote computer


                       Our goal is to be able to login to a remote
                       computer and run commands, like you do with SSH or
                       telnet.


                       The biggest difference between this program and SSH
                       is that there’s literally no security (not even a
                       password) – anyone who can make a TCP connection to
                       the server can get a shell and run commands.


                       Obviously this is not a useful program in real
                       life, but our goal is to learn a little more about
                       how terminals works, not to write a useful program.


                       (I will run a version of it on the public internet
                       for the next week though, you can see how to
                       connect to it at the end of this blog post)


                # ⚓ KDAB ☛ Android_Shared_Storage_Qt_Wrapper_–_KDAB⠀⇛


                       In this article, I’d like to talk about Android
                       storage.


                       In recent Android versions, Google decided, for a
                       good reason, to restrict the access to the SD card.
                       This means, even if your application will have the
                       old READ/WRITE_EXTERNAL_STORAGE permissions
                       declared and granted, you won’t be able to freely
                       access the SD Card contents like you used to.


                       In order to access the SD card or any other shared
                       storage places, you’ll have to use the Android
                       shared storage API. The good news is that, with
                       this API, you’ll be able to access any file from
                       any storage location (i.e. from gdrive), without
                       any special code.


                # ⚓ Hackster ☛ Hackster’s_FPGAdventures:_Experimenting_with
                  Microchip’s_PolarFire_SoC_Icicle_Kit_Linux_Code_Samples_–
                  Hackster.io⠀⇛


                       In our last look at Microchip’s flexible PolarFire
                       SoC Icicle Kit, which blends low-power high-
                       performance field-programmable gate array (FPGA)
                       technology with Linux-capable processing cores
                       built around the free and open source RISC-
                       V instruction set architecture (ISA), we built our
                       own Linux distribution using the Yocto board
                       support package (BSP) and ran a selection of
                       workloads to put the system through its paces.


                       The Icicle Kit isn’t designed as a single-board
                       computer you just pick up and use to run pre-built
                       binaries, though: it’s a development tool first and
                       foremost, and whether you’re a professional or a
                       hobbyist you’re going to want to get your hands
                       dirty coding in order to make the most of the
                       board’s capabilities.


                # ⚓ Going_to_Akademy!_|_espidev⠀⇛


                       I am going to be attending Akademy 2022 in person!


                       This is my first time going to Akademy in-person,
                       so it is quite exciting! I will be doing a talk
                       with Bhushan on the state of Plasma Mobile.


                       [...]


                       Through 2020, I worked on many Plasma Mobile
                       applications such as KWeather, and also started
                       poking around contributing to the shell. I also did
                       some work for the desktop, including some work on
                       adding fingerprint support to the users kcm.


                # ⚓ Jussi Pakkanen ☛ Nibble_Stew:_That_time_when_I_accidentally
                  social_engineered_myself_to_a_film_set⠀⇛


                       I spent the last week in Toronto in the Cpp North
                       conference. It was so much fun just to hang around
                       with people after such a long pause.My talk was
                       about porting large code bases from one build
                       system to another, using LibreOffice as an example
                       The talk should eventually show up on Youtube but
                       there is no precise schedule for that yet.


                       After the conference ended I had a few spare days
                       to do touristy stuff which was also fun. On the
                       last day when I was packing my stuff I noticed that
                       there was a film crew just outside the conference
                       hotel clearly shooting something. The area did not
                       seem to be closed off so obviously I went in to
                       take a closer look. It was past 9 pm and I only had
                       my phone camera so all the pictures below are a bit
                       murky. On the other hand you can clearly see just
                       how much lighting power you need to shoot high
                       quality video material.


                       [...]


                       I stood next to one of the pillars shown in the
                       middle of the picture next to a thing that looked
                       suspiciously like a director’s chair. I just leaned
                       against the wall perfectly still while remaining
                       calm and passive and nobody paid any attention to
                       me at all. I could observe the crew going about
                       their business, browse their monitors (which,
                       sadly, did not show anything interesting) and even
                       see their uncannily realistic looking baby prop up
                       close. I was probably there for around 30 minutes
                       or so until someone finally asked me if I was part
                       of the crew and then kindly asked me to leave which
                       I did.


                # ⚓ Common_GLib_Programming_Errors_–_Michael_Catanzaro’s_Blog⠀⇛


                       Let’s examine four mistakes to avoid when writing
                       programs that use GLib, or, alternatively, four
                       mistakes to look for when reviewing code that uses
                       GLib. Experienced GNOME developers will find the
                       first three mistakes pretty simple and basic, but
                       nevertheless they still cause too many crashes. The
                       fourth mistake is more complicated.


                       These examples will use C, but the mistakes can
                       happen in any language. In unsafe languages like C,
                       C++, and Vala, these mistakes usually result in
                       security issues, specifically use-after-free
                       vulnerabilities.


                # § Python⠀➾


                      # ⚓ LWN ☛ Leaving_python-dev_behind_[LWN.net]⠀⇛


                             It was not all that long ago that Python
                             began its experiment with replacing one of
                             its mailing lists with a forum on its
                             Discourse discussion site. Over time, the
                             Discourse instance has become more and more
                             popular within the Python community. It would
                             seem that another mailing list will soon be
                             subsumed within Discourse as the Python
                             steering council is planning to effectively
                             retire the venerable python-dev mailing list
                             soon.


                      # ⚓ Medevel ☛ OSMnx:_Analyze_and_Visualize_Street
                        Networks_with_Python_and_OpenStreetMap⠀⇛


                             OSMnx is a Python package that lets you
                             download geospatial data from OpenStreetMap
                             and model, project, visualize, and analyze
                             real-world street networks and any other
                             geospatial geometries.


                      # ⚓ Top_7_of_the_best_Python_IDEs_available_for_Ubuntu
                        20.04⠀⇛


                             Today most of the popular sites or
                             application software are powered by Python as
                             it is a widely used general-purpose
                             programming language. Now why it is popular
                             among users, all due to its simple yet easy-
                             to-understand nature. We prefer using it all
                             the time. As a bonus, it has many Integrated
                             Development Environments which are used for
                             editing and programming in it.


                             We usually suggest and prefer Vim/Nano for
                             the terminal but many other IDEs such as
                             PyCharm, GNU Emacs and PyZo are available for
                             Ubuntu.


                      # ⚓ Medevel ☛ Gradio:_Creates_Machine_learning_Web_Apps
                        in_Python⠀⇛


                             Gradio is an open-source Python library that
                             is used to build machine learning and data
                             science demos and web applications.


                # § Rust⠀➾


                      # ⚓ Rust Weekly Updates ☛ This_Week_In_Rust:_This_Week_in
                        Rust_453⠀⇛


    * § Leftovers⠀➾


          o § Science⠀➾


                # ⚓ CNX Software ☛ 5V_wireless_LED_lights_up_thanks_to_magnetic
                  resonance_coupling_technology_–_CNX_Software⠀⇛


                       Wireless power, no matter how inefficient it may
                       be, sounds good and even looks good with the “5V
                       remote wireless power supply LED pack” we feature
                       in this post. It also feels magical with the LEDs
                       lighting up thanks to magnetic resonance coupling
                       technology.


          o § Pseudo-Open Source⠀➾


                # § Openwashing⠀➾


                      # ⚓ Google ☛ SkyWater_and_Google_expand_open_source
                        program_to_new_90nm_technology_|_Google_Open_Source
                        Blog⠀⇛


                             Today, Google is announcing the expansion of
                             our partnership with SkyWater Technology. We
                             are working together to release an open
                             source process design kit (PDK) for SKY90-FD,
                             SkyWater’s commercial 90nm fully depleted
                             silicon on insulator (FDSOI) CMOS process
                             technology. SKY90-FD is based on MIT Lincoln
                             Laboratory’s 90 nm commercial FDSOI
                             technology, and enables designers to create
                             complex integrated circuits for a diverse
                             range of applications.


                      # ⚓ OSI Blog ☛ What_is_an_Open_Source_Program_Office_and
                        why_you_should_have_one [Ed: The openwashing hive known
                        as OSI is now more closely connected to LF via TODO
                        Group; these are proprietary people]⠀⇛


                             The rise of the Open Source Program Office
                             (OSPO) roughly mirrors the proliferation of
                             Open Source software to build and run the
                             most important technology applications within
                             organizations in the world today. A well-
                             designed OSPO is the center of competency for
                             an organization’s Open Source operations and
                             structure. Its role can include setting code
                             use, distribution, selection, auditing, and
                             other policies, as well as training
                             developers, ensuring legal compliance, and
                             promoting and building community engagement
                             that benefits the organization strategically.


          o § Security⠀➾


                # ⚓ LWN ☛ Security_updates_for_Thursday_[LWN.net]⠀⇛


                       Security updates have been issued by Debian
                       (firefox-esr), Fedora (chromium, gnupg1, java-17-
                       openjdk, osmo, and podman), Oracle (grafana and
                       java-17-openjdk), Red Hat (389-ds:1.4, container-
                       tools:rhel8, grafana, java-1.8.0-openjdk, java-11-
                       openjdk, java-17-openjdk, kernel, kernel-rt,
                       kpatch-patch, pandoc, squid, and squid:4),
                       Slackware (samba), and SUSE (crash, mariadb, pcre2,
                       python-M2Crypto, virtualbox, and xen).


                # ⚓ CISA ☛ Samba_Releases_Security_Updates_|_CISA⠀⇛


                       The Samba Team has released security updates to
                       address vulnerabilities in multiple versions of
                       Samba. An attacker could exploit one of these
                       vulnerabilities to take control of an affected
                       system.


                # ⚓ USCERT ☛ CISA_Releases_Log4Shell-Related_MAR [Ed:
                  Microsoft's friends at CISA trying to recycle FUD from last
                  year instead of cautioning about Windows back doors and
                  actively-exploited zero-days]⠀⇛


                       From May through June 2022, CISA responded to an
                       organization that was compromised by an
                       exploitation of an unpatched and unmitigated
                       Log4Shell vulnerability in a VMware Horizon server.
                       CISA analyzed five malware samples obtained from
                       the organization’s network and released a Malware
                       Analysis Report of the findings.


                # ⚓ Red Hat Official ☛ Automated_dynamic_application_security
                  testing_with_RapiDAST_and_cross-team_collaboration⠀⇛


                       Red Hat Product Security has been developing
                       RapiDAST, a tool that can be used for security
                       testing of products and services. It is also
                       helpful for developers or quality engineers (QEs)
                       to test the security of products during the
                       software development life cycle (SDLC).


                       As the name suggests, RapiDAST is focused on
                       performing rapid (automated) dynamic application
                       security testing (DAST). While there are many
                       security practices we can consider comprehensively
                       for improving security posture of development
                       environments — threat modeling, software
                       composition analysis (SCA), static application
                       security testing (SAST), fuzzing, penetration
                       testing, etc. — this article focuses on DAST.


                # ⚓ Hackster ☛ Stashing_a_Kali_Linux_Pentesting_Setup_Inside_a
                  Book⠀⇛


                       Kali is a Debian-based Linux distro designed
                       specifically for penetration testing. While one can
                       install the tools on any Debian distro to create an
                       equally capable pentesting system, Kali comes with
                       all of those tools built-in and is locked-down by
                       default for security. Over the last few years, Kali
                       has become a favorite of pentesters. And because it
                       is a Debian-based distro, it runs well on single-
                       board computers with ARM processors.


                       [...]


                       In this case, that is the new Raspberry Pi Zero 2 W
                       single-board computer. It’s paired with a Pimoroni
                       Hyperpixel 4.0″ TFT LCD touchscreen and a Solder
                       Party BlackBerry Q20 keyboard with built-in
                       trackpad. That is a full QWERTY tactile keyboard
                       with a breakout board that provides connectivity
                       options, including the USB connection used here. A
                       small USB hub provides USB-A connections, since the
                       Raspberry Pi only has micro USB ports.


                       All of that hardware fits inside of a book called
                       Supermind by Mark Phillips. Except it isn’t
                       actually a book. It’s a hollow wood box that looks
                       like a book. We can only imagine that grymoire
                       feels like a spy any time he pulls this book off a
                       shelf and open it up to reveal their pentesting
                       rig.


                # ⚓ Unix Men ☛ Cyber-Attacks_on_Industrial_Infrastructure_are
                  Intensifying⠀⇛


                       Cybercriminals are now attacking the whole world in
                       a very different way. In the past, they were just
                       limited to the normal power users but nowadays they
                       are targeting the critical infrastructures in our
                       society. In most cases, they are trying to take
                       down the whole industrial network and often ask for
                       heavy ransoms. Even if they manage to get hold of a
                       certain portion of the network, chances are that
                       the industrial leader will pay the fees and get
                       their system running again.


                       Such kind organized attacks on critical
                       infrastructures were not prominent in the past. But
                       things are changing fast and the hackers are trying
                       to attack the organizations as they know it can
                       help them to earn more money in a quicker way.


                # § Fear, Uncertainty,
                  Doubt/Fear-mongering/Dramatisation⠀➾


                      # ⚓ Beta News ☛ Linux_malware_reaches_an_all_time_high
                        [Ed: Microsoft boosters, as in this case, trying to
                        shift the subject/focus]⠀⇛


                             In the past cybercriminals have tended to
                             shun Linux in favor of more widely used
                             operating systems, but new data indicates
                             that this trend is starting to shift.
                             Statistics from the Atlas VPN team show new
                             Linux malware reached record numbers in the
                             first half of 2022, with nearly 1.7 million
                             samples being discovered.


          o § Internet Policy/Net Neutrality⠀➾


                # ⚓ Public Knowledge ☛ Public_Knowledge_Welcomes_Net_Neutrality
                  Bill_Bolstering_FCC’s_Ability_To_Regulate_Broadband_–_Public
                  Knowledge⠀⇛


                       Today, Senators Ed Markey (D-MA) and Ron Wyden (D-
                       OR), along with Rep. Doris Matsui (D-CA) and other
                       co-sponsors, introduced a bill to reinstate net
                       neutrality and the Federal Communications
                       Commission’s authority over broadband service. The
                       “Net Neutrality and Broadband Justice Act” would
                       codify broadband as a “Title II” communications
                       service, enabling the FCC to regulate it as such.


                       The bill effectively reverses the unprecedented
                       abdication of authority over broadband that FCC
                       Chairman Pai instigated in the agency’s 2017 repeal
                       of its 2015 Open Internet Order that established
                       the net neutrality rules under Chairman Tom
                       Wheeler. Those rules prevented broadband providers
                       from blocking websites, throttling web traffic, or
                       creating “fast lanes” only for those able to pay
                       for prioritization. This bill will not only restore
                       these “net neutrality” protections, but also
                       prevent a future-FCC from backtracking on other
                       broadband consumer protections – fundamental in an
                       increasingly online world. Public Knowledge urges
                       Congress to swiftly pass this bill.


                       The following can be attributed to Jenna Leventoff,
                       Senior Policy Counsel Public Knowledge:


                       “For over two decades, the FCC has worked
                       steadfastly to protect consumers’ access to a free
                       and open internet. Before Chairman Pai’s repeal of
                       the agency’s popular net neutrality rules, both
                       Democratic and Republican Commissions maintained
                       authority over broadband. It was only during the
                       Trump administration that the FCC, for the first
                       time, disavowed any authority to fulfill its
                       congressional mandate to ensure all Americans have
                       access to communications services. We’re thrilled
                       that Senators Markey and Wyden and Representative
                       Matsui are taking action to rectify this colossal
                       mistake.


    * § Gemini* and Gopher⠀➾


          o § Personal⠀➾


                # ⚓ SpellBinding_solver⠀⇛


                       Click on ‘cheat’ and enter the 7 letters of the
                       puzzle, with the anchoring (central) letter at the
                       end. The solutions, if any, will be shown after a
                       short delay.


                       Please do not look up SpellBinding answers of
                       today’s puzzle. And you don’t want to cheat anyway,
                       right?


                # ⚓ I_wish_I_could_taper_off_my_meds⠀⇛


                       What I really wish I could do is taper off my meds
                       as a sort of experiment. Sometimes I doubt whether
                       I really need them.


                       What that would look like is that I’d need to be
                       100% sequestered for the duration of the tapering
                       plus 6 months after the final dose. No
                       responsibilities other than self-care. Sort of like
                       a controlled rehab type thing.


                       I’d also need something like a benzodiazepine to
                       help with the surge in anxiety and paranoia, but
                       I’m not sure if that would be good because I don’t
                       want to become dependent on them.


          o § Politics⠀➾


                # ⚓ Manchin’s_victory_(on_the_cinder)⠀⇛


                       I’m relieved that Manchin signed, because we’re
                       getting a commitment of 40% emissions reduction by
                       2030, and that’s a hell of a lot better than what
                       it looked like we were getting a few hours ago (and
                       why I had been sobbing all week like the big old
                       moper snowflake I am)…


                       [...]


                       “Energy security” as Manchin defined it means
                       fossils (domestic fossils, which is the “security”
                       part). In other words, we are getting the opposite
                       of what we asked for; some of the money from our
                       precious bill is gonna go straight into the pockets
                       of oil, gas, and coal.


          o § Technical⠀➾


                # ⚓ CMD+Z:_Back_to_macOS⠀⇛


                       For Linux; if there is a company behind the hard-
                       and software like Valve with the Steam Deck or
                       Jolla with Sailfish OS, it could work. But it is
                       build as gaming console – damn this is a good
                       handheld! – or for a smartphone, not as work horse.
                       The folks at Tuxedo for example do a really good
                       job on their comupters here in europe. The
                       barebones from “Schenker” they use are just not as
                       good as a Macbook – nothing for a guy like me with
                       me who likes a good audio system for example. And
                       the problem with “hey, i’m creating a very nice
                       little program and use the latest and cutting edge
                       libraries so you can’t use it on your LTS linux”-
                       problem still remains. Maybe a Purism Laptop would
                       be a option, but they aren’t present in “the old
                       world” and getting a Librem 5 was a hassle.


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



                    ䷩ 𝚕𝚒𝚗𝚎 3372

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 07.28.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


Gemini_version_available_♊︎


✐ Links_28/07/2022:_Liferea_News_Reader_1.13.9_and_‘Code_of_Ethics’_at_FSF⠀✐


Posted in News_Roundup at 1:31 am by Dr. Roy Schestowitz


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * GNU/Linux
          o Desktop/Laptop
          o Audiocasts/Shows
          o Kernel_Space
          o Applications
          o Instructionals/Technical
          o Games
    * Distributions_and_Operating_Systems
          o SUSE/OpenSUSE
          o Canonical/Ubuntu_Family
          o Open_Hardware/Modding_(modifiable,_open-ended_modules]
          o Mobile_Systems/Mobile_Applications
    * Free,_Libre,_and_Open_Source_Software
          o Web_Browsers
                # Mozilla
          o FSF
          o Standards/Consortia
    * Leftovers
          o Hardware
          o Security_(For-Profit_FUD_Attacks_on_‘Linux’_Wrapped_Up_as_Advice_or
            News)
                # Privacy/Surveillance
          o Civil_Rights/Policing
          o Internet_Policy/Net_Neutrality
    * Gemini*_and_Gopher
          o Personal
          o Politics
          o Technical
                # Games
                # Internet/Gemini
                # Programming
    * § GNU/Linux⠀➾


          o § Desktop/Laptop⠀➾


                # ⚓ FOSSLife ☛ HP_Dev_One_Linux_Laptop_Reviewed⠀⇛


                       The HP Dev One Linux laptop is a reasonably priced,
                       user-repairable machine with plenty of attractive
                       features, says Scott Gilbertson, in this review.


                       “Combining HP’s hardware capabilities and industry
                       experience with System76′s Pop!_OS desktop has
                       produced the best all-around Linux laptop you can
                       buy right now,” Gilbertson says.


          o § Audiocasts/Shows⠀➾


                # ⚓ Video ☛ How_to_install_Minetest_on_Pop!_OS_22.04_–
                  Invidious⠀⇛


                       In this video, we are looking at how to install
                       Minetest on Pop!_OS 22.04.


                # ⚓ FLOSS_Weekly_691:_Subsea_Cloud_–_Maxie_Reynolds,_OSINT
                  Framework_and_Subsea_Cloud⠀⇛


                       Maxie Reynolds of Subsea Cloud tells Doc Searls and
                       Shawn Powers how the marine underworld is the
                       future of data centers as well as data
                       communications. Putting data centers under the
                       ocean? Yes, it’s a real thing, and it’s discussed
                       on this episode of FLOSS Weekly.


                # ⚓ Video ☛ I_Escaped_From_YouTube_Jail!!_–_Invidious [Ed:
                  Google ritually suppresses GNU/Linux videos]⠀⇛


                       As we all well know I am very Harmful and Dangerous
                       so youtube decided to bring me down a peg a slap a
                       strike on my channel, turns out though they have no
                       idea what they’re doing and removed the strike
                       anyway.


          o § Kernel Space⠀➾


                # ⚓ MakeTech Easier ☛ What_Is_XDP_(Express_Data_Path)_in
                  Linux⠀⇛


                       
                       XDP (or Express Data Path) is a networking utility
                       available in the Linux kernel. XDP is used in many
                       popular companies to solve some serious networking
                       issues they face while handling millions of
                       requests per second. This is an MIT licensed open
                       source program merged in the Linux kernel from
                       version 4.8.


                       XDP is a performance and programmable network data
                       packet processor. It comes into existence to
                       mitigate some serious server-side issues like DDoS
                       (Distributed Denial-of-Service) attacks or as a
                       load balancer.


          o § Applications⠀➾


                # ⚓ Ubuntu Handbook ☛ Liferea_News_Reader_1.13.9_Adds_Google
                  Reader_API_Support_|_UbuntuHandbook⠀⇛


                       The GTK feed reader Liferea released version 1.13.9
                       recently with generic Google Reader API support, UI
                       improvements, and bug-fixes.


                       This is the last release of the 1.13 unstable
                       series of Liferea (Linux Feed Reader). It makes
                       possible to import from FeedHQ, FreshRSS, Basquz,
                       and other feed readers using Google Reader API
                       (exclude Miniflux due to this bug).


                # ⚓ FOSS Post ☛ Watch_The_World_as_it_Collapses_From_Your_Linux
                  Desktop⠀⇛


                       We are happy to introduce our first in-house
                       developed program to the world: FOSS Post Collapse
                       Monitor.


                       There are many indicators for a possible collapse
                       in human civilization, motivated by climate change
                       and other elements. Many people started carefully
                       monitoring these elements in order remain alerted
                       as much as possible, and make sure they are
                       prepared for what is to come.


                       One can find many useful interactive maps online
                       which provide alerts about possible hazards,
                       accidents and natural disasters, but you don’t
                       always want to open them manually each time you
                       want to check them. Additionally, you may want to
                       keep your markings/edits on some of them (Which may
                       support that unlike the others), and hence, putting
                       all these maps in a different standalone window
                       would give the best experience.


                       This is the idea of this small app; it is a web
                       browser with 7 maps (Currently) which show
                       different hazards alerts, disaster alerts, future
                       projections for areas with high probability of
                       floodings, earthquakes, natural disasters and many
                       other interesting data.


                # ⚓ Unix Men ☛ The_Best_VPN_GUI_For_Linux⠀⇛


                       Setting up a VPN on Linux used to involve the
                       terminal, Stack Overflow and a computer science
                       degree. Nowadays, the process is a lot simpler and
                       some VPN providers have released graphical user
                       interfaces for Linux and simple installs via the
                       Snap Store or other click and play solutions. In
                       this post we’ll take a look at some of the easiest
                       ways to get a VPN on Linux and explain some of the
                       benefits that a VPN can bring to your Linux
                       experience.


                # ⚓ Medevel ☛ Stroll_Is_an_Outstanding_Roam-alike_Note-Taking
                  System⠀⇛


                       Roam note-taking aids busy minds to create, and
                       connect their created notes, which allows them
                       later easy browsing and organization of dozens of
                       notes.


          o § Instructionals/Technical⠀➾


                # ⚓ Trend Oceans ☛ Install_Proprietary_Graphics_Drivers_on
                  Ubuntu_Linux⠀⇛


                       Ubuntu and other major Linux distributions
                       automatically detect the system graphics card and
                       install their open-source driver by default. To
                       install a proprietary driver, you need to perform a
                       few more steps.


                # ⚓ RoseHosting ☛ How_to_Install_LAMP_stack_on_Ubuntu_22.04_–
                  RoseHosting⠀⇛


                       The LAMP is a shortcut to Linux, Apache, MySQL, and
                       PHP. The Linux operating system in this tutorial
                       will be the latest Ubuntu 22.04. Apache is an HTTP
                       web server used to serve the requests, MySQL is a
                       relational database management system used for
                       storing data, and PHP is the website’s language.
                       The LAMP stack is used for creating websites and
                       web applications. We are going to explain in more
                       detail how these four software are connected to
                       each other.


                # ⚓ Linux Journal ☛ How_to_use_Block_Storage_to_Increase_Space
                  on_Your_Nextcloud_Instance_|_Linux_Journal⠀⇛


                       In a previous article, I showed you how to build
                       your very own Nextcloud server. In this article,
                       we’re going to extend the storage for our Nextcloud
                       instance by utilizing block storage. To follow
                       along, you’ll either need your own Nextcloud server
                       to extend, or perhaps you can add block storage to
                       a different type of server you may control, which
                       would mean you’d need to update the paths
                       accordingly as we go along. Block storage is
                       incredibly useful, so we’ll definitely want to take
                       advantage of this.


                # ⚓ ID Root ☛ How_To_Install_Remmina_on_Ubuntu_22.04_LTS_–
                  idroot⠀⇛


                       In this tutorial, we will show you how to install
                       Remmina on Ubuntu 22.04 LTS. For those of you who
                       didn’t know, Remmina is a remote desktop client
                       written in GTK+, aiming to be useful for system
                       administrators and travelers, who need to work with
                       lots of remote computers in front of either large
                       monitors or tiny netbooks. Remmina works on
                       multiple protocols like RDP, VNC, NX, XDMCP, SPICE,
                       HTTP/HTTPS, SSH, and SFTP protocols.


                       This article assumes you have at least basic
                       knowledge of Linux, know how to use the shell, and
                       most importantly, you host your site on your own
                       VPS. The installation is quite simple and assumes
                       you are running in the root account, if not you may
                       need to add ‘sudo‘ to the commands to get root
                       privileges. I will show you the step-by-step
                       installation of the Remmina remote desktop on
                       Ubuntu 22.04 (Jammy Jellyfish). You can follow the
                       same instructions for Ubuntu 22.04 and any other
                       Debian-based distribution like Linux Mint,
                       Elementary OS, Pop!_OS, and more as well.


                # ⚓ Barry Kauler ☛ Limine_Installer_enhanced_EFI_chainload⠀⇛


                       The previously-installed mainstream Linux
                       distributions had installed GRUB2, so I have
                       enhanced Limine Installer to detect this and
                       chainload to it. In the earlier test, these were
                       the detected installations…


                # ⚓ TechRepublic ☛ How_to_quickly_deploy_the_Odoo_ERP_solution
                  with_Docker⠀⇛


                       Within the world of open source, there are plenty
                       of enterprise resource planning (ERP) tools
                       available to deploy for free that will help bring
                       your business’s resource planning to new levels of
                       efficiency and reliability. One such platform is
                       Odoo, which happens to be one of the most popular
                       open-source ERP solutions on the market.


                # ⚓ SUSE’s Corporate Blog ☛ The_brains_behind_the_books:_Jana
                  Jaeger_|_SUSE_Communities⠀⇛


                       After a brief stint at Tanner AG where I met my
                       friend and then and now colleague, Tanja Roth, I
                       rejoined SUSE to spend the next 8 years writing for
                       SUSE Linux Enterprise Server for IBM zSeries, and
                       for what later became SUSE Linux Enterprise
                       Desktop. The next years were fantastic—writing and
                       fighting alongside as part of the best team of
                       writers in the world ;).


          o § Games⠀➾


                # ⚓ 9to5Linux ☛ Latest_Steam_Client_Update_Brings_Linux_and
                  Vulkan_Fixes,_Support_for_New_Controllers⠀⇛


                       
                       It’s been two and a half months since the previous
                       stable Steam Client update and now Valve pushed a
                       new version that brings various bug fixes for Linux
                       gamers, including a fix for an issue where the
                       Steam Overlay “Force Quit” option wasn’t working
                       for some native Linux games.


                       Also for Linux gamers, the new Steam Client update
                       fixes an issue where some games were unable to
                       create desktop shortcuts, a resource usage issue of
                       the chat and browsers components when the Steam
                       Client is minimized or closed, as well as an issue
                       where the Steam Client triggered “split lock”
                       warnings.


    * § Distributions and Operating Systems⠀➾


          o § SUSE/OpenSUSE⠀➾


                # ⚓ MicroOS_Install_Workshop,_Feedback_Sessions_Planned⠀⇛


                       In an effort so gain more user insight and
                       perspective for the development of the Adaptable
                       Linux Platform (ALP), members of the openSUSE
                       community workgroup will have a MicroOS Desktop
                       install workshop on August 2.


                       There will be feedback sessions the following weeks
                       during the community workgroup and community
                       meeting.


                       Users are encouraged to install MicroOS Desktop
                       during the week of August 1. There will be a short
                       Installation Presentation during the ALP Workgroup
                       Meeting at 14:30 UTC on August 2 for those who need
                       a little assistance.


                       During the next two weeks’ meetings, follow ups
                       will be given with a final Lucid Presentation on
                       August 16 during the regularly scheduled workgroup.


          o § Canonical/Ubuntu Family⠀➾


                # ⚓ Make Use Of ☛ System76_Releases_Hefty_Pop!_OS_22.04
                  Technical_Preview_for_Tiny_Raspberry_Pi_4⠀⇛


                       Pop!_OS 22.04 is available for Raspberry Pi users
                       as a technical preview despite being labeled as an
                       “LTS” or Long-Term Support release by the company,
                       according to 9to5Linux. Pop!_OS is a customized
                       version of Ubuntu that uses a special desktop and
                       under-the-hood enhancements tuned for technical and
                       creative work.


                       The company used the Pop!_OS Twitter feed to
                       announce the technical preview:


                       While Pop!_OS is tailored to System76′s line of
                       preinstalled Linux PCs, the company has also made
                       it available as a standalone release for anyone to
                       download. System76 does not currently manufacture
                       any version of the single-board Raspberry Pi. The
                       release follows the release of the standard version
                       22.04 in April 2022, which System76 similarly
                       teased with its own beta release beforehand.


                # ⚓ OMG Ubuntu ☛ Ubuntu_Devs_Finally_Fix_Frustrating_Firefox
                  Snap_Flaw_–_OMG!_Ubuntu!⠀⇛


                       Ubuntu’s beleaguered Firefox Snap package is
                       tackling another of longstanding criticism of it,
                       namely its lack of native messaging support.


                       It’s this fancy-sounding feature that allows
                       Firefox add-ons to “exchange messages with a native
                       application, installed on the user’s computer”.
                       This enables things like desktop password managers
                       to function as expected in the browser.


                       But at last there’s change ahoy.


                       In a short update on the Snapcraft forum Ubuntu
                       developer Olivier Tilloy says integration of a new
                       WebExtensions XDG portal with the latest beta
                       builds of Mozilla Firefox is ready for wider
                       testing via the Snap store.


                       The patches mean Ubuntu users should be able, once
                       again, to install GNOME Shell extensions from the
                       GNOME Extensions website using Firefox (with the
                       relevant browser add-on and host connector, though
                       honestly: install gnome-shell-extension-manager
                       instead as it offers a superior experience).


                       Similarly, other Firefox add-ons like the KeePassXC
                       password manager should also work as intended. The
                       new XDG portal also benefits Flatpak apps. It may
                       also in time, be used by other popular web browsers
                       shipped in sandbox packaging formats, such as
                       Chromium.


                # ⚓ Ubuntu ☛ Design_and_Web_team_summary_–_15_July_2022_|
                  Ubuntu⠀⇛


                       The Web and design team at Canonical runs in two-
                       week iterations building and maintaining all of the
                       Canonical websites and product web interfaces. Here
                       are some of the highlights of our completed work
                       from this iteration.


          o § Open Hardware/Modding (modifiable, open-ended modules]⠀➾


                # ⚓ Arduino ☛ Centimeter-scale_lawn_mower_positioning_without
                  GPS_RTK_|_Arduino_Blog⠀⇛


                       GPS is perfect for navigating roads, because that
                       doesn’t require much precision. But GPS is only
                       accurate to several meters, which means that it is
                       unsuitable for applications that require more
                       precise positioning. GPS RTK (real-time kinematic)
                       systems can achieve much greater accuracy, but they
                       are complex and require a subscription to a
                       correction service. Viktor Kurusa needed accurate
                       positioning for his robotic lawn mower, but didn’t
                       want to resort to GPS RTK. Instead, he used a few
                       Arduino boards to enable UWB ranging for
                       centimeter-scale positioning.


                # ⚓ Arduino ☛ This_walking_machine_can_mosey_in_any_direction_|
                  Arduino_Blog⠀⇛


                       Wheeled vehicles are so common because they’re
                       efficient. If a vehicle will drive on a relatively
                       smooth and flat surface, wheels are the most
                       efficient option. But on rough terrain, wheels
                       don’t always cut it. For such terrain, tank tracks
                       and more exotic options often perform better than
                       wheels. Walking machines take that to the extreme,
                       climbing over rough ground in the same way as
                       animals do. But traditional walking machines
                       struggle to turn on the spot without using many
                       motors. To overcome that limitation, James Bruton
                       took inspiration from omni wheels to build a robot
                       that can move in any direction.


                       Bruton uses omni wheels in many of his projects.
                       Omni wheels have rollers around their
                       circumference, which lets them roll passively in
                       one direction and actively in another. A vehicle
                       equipped with four omni wheels can move in any
                       direction by spinning the individual wheels in
                       opposing directions. This walking robot utilizes a
                       similar concept. In each mechanism’s active
                       direction, it walks forward. But the feet have
                       freely rotating wheels, which lets each mechanism
                       roll passively to either side. The robot has three
                       of these walking mechanisms in a triangular
                       pattern, so it can move in any direction by
                       controlling which mechanisms are active and which
                       are passive at any given time.


                # ⚓ CNX Software ☛ T-Display-S3_board_offers_ESP32-S3_WiSoC,
                  1.9-inch_color_LCD,_and_LiPo_battery_support_–_CNX_Software⠀⇛


                       LilyGO T-Display-S3 is an ESP32-S3 WiFi and
                       Bluetooth LE IoT development board with a 1.9-inch
                       color LCD and support for LiPo batteries that
                       follows the company’s T-QT ESP32-S3 board with a
                       tiny 0.85-inch display introduced earlier this
                       month.


                       The new board offers the same layout as the
                       previous T-Display RP2040 or ES32 boards, but the
                       1.14-inch display has been replaced with a larger
                       1.9-inch display that covers most of the board, and
                       thanks to the ESP32-S3 microcontroller, gains
                       proper Bluetooth 5.0 support, as well as vector
                       instructions for AI acceleration.


          o § Mobile Systems/Mobile Applications⠀➾


                # ⚓ Hindustan Times ☛ Does_your_Android_phone’s_battery_drain
                  fast?_Here’s_how_to_check_battery_health_|_Tech_News⠀⇛


                # ⚓ SlashGear ☛ How_To_Take_Screenshots_On_Android_Auto⠀⇛


                # ⚓ 9to5Google ☛ How_to_recycle_your_old_Android_phone_and
                  maybe_make_some_money⠀⇛


                # ⚓ Android Police ☛ The_top_10_underrated_Android_13_features
                  you_need_to_try⠀⇛


                # ⚓ Android Authority ☛ Wallpaper_Wednesday:_Android_wallpapers
                  2022-07-27_–_Android_Authority⠀⇛


                # ⚓ Android Central ☛ Nubia_RedMagic_7S_Pro_review:_It’s
                  insanely_fast_|_Android_Central⠀⇛


                # ⚓ XDA ☛ Lenovo_Smart_Display_can_now_be_bootloader_unlocked,
                  run_Android_apps⠀⇛


    * § Free, Libre, and Open Source Software⠀➾


          o § Web Browsers⠀➾


                # § Mozilla⠀➾


                      # ⚓ Linux Magazine ☛ Firefox_Adds_Long-Anticipated
                        Feature⠀⇛


                             Firefox 103 has arrived and it now includes a
                             feature users have long awaited…sort of.


                             With the release of Firefox 103, a few new
                             additions aimed at greatly improving the
                             experience of some users. One of the biggest
                             additions to the open-source web browser is
                             two-finger horizontal swipe gesture support
                             for navigating back and forward with a
                             trackpad. This feature has been in the works
                             for some time and is now seeing the light of
                             day. However, there is a caveat to the new
                             addition. The goal of the developers was to
                             have the feature fully supported with version
                             103, however, upon release, the only way to
                             use the two-finger swipe gesture is to first
                             press and hold the Alt key on your keyboard.
                             Hopefully, somewhere in the next few updates,
                             that requirement will be removed and the
                             feature will work exactly as expected.


                      # ⚓ Mozilla ☛ Mozilla_Open_Policy_&_Advocacy_Blog:
                        Mozilla_submits_comments_in_OSTP_consultation_on
                        privacy-preserving_data_sharing [Ed: Such data should
                        not be collected or shared. Mozilla is just another
                        GAFAM drone now, posturing while spying.]⠀⇛


                             Earlier this month, the US Office of Science
                             and Technology Policy (OSTP) asked
                             stakeholders to contribute to the development
                             of a national strategy for “responsibly
                             harnessing privacy-preserving data sharing
                             and analytics to benefit individuals and
                             society.” This effort offers a much-needed
                             opportunity to advance privacy in online
                             advertising, an industry that has not seen
                             improvement in many years.


                             In our comments, we set out the work that
                             Mozilla has undertaken over the past decade
                             to shape the evolution of privacy preserving
                             advertising, both in our products, and in how
                             we engage with regulators and standards
                             bodies.


                      # ⚓ Mozilla ☛ Parents_want_to_keep_their_kids_safe
                        online._But_are_parental_controls_the_answer? [Ed:
                        Mozilla used to be fine engineers, now it's wannabe
                        politicians]⠀⇛


                             For our new series Parental Control, we’re
                             digging into the challenges technology poses
                             for parents and exploring all the ways that
                             can empower them. So we looked into digital
                             platforms and found ourselves, as many
                             parents do, in the parental control settings.


                             These settings, along with services that
                             promise to shield young people away from
                             “inappropriate” content, can give families
                             comfort in the face of the infinite feed.
                             They let adults limit screen time and
                             restrict mature content (although the way
                             platforms identify what that means is far
                             from perfect). But it is not so simple as
                             setting up the parental control settings and
                             walking away. It’s important for parents to
                             both understand their kids’ behaviors, and
                             explain to them why they’re using parental
                             controls.


                             The capabilities of these tools, as well as
                             their shortcomings, led us to question the
                             very name of our series: In a world where
                             technology’s hold over everything we do seems
                             uncontrollable, what does parental control
                             even mean?


                             Jenny Radesky, who studies the intersections
                             of child development, parenting and
                             technology at the University of Michigan,
                             takes issue with the phrase itself.


          o § FSF⠀➾


                # ⚓ FSF ☛ FSF_voting_members_release_and_sign_Code_of_Ethics
                  [Ed: Free Software Foundation: from revolutionary to
                  bureaucracy?]⠀⇛


                       The voting members of the Free Software Foundation
                       (FSF) have released and signed a voting member Code
                       of Ethics as the FSF prepares to solicit
                       nominations for its board of directors from FSF
                       associate members.


                       The new voting member Code of Ethics parallels the
                       Code of Ethics adopted by the FSF board of
                       directors in December. It lays out ten principles
                       that should guide decision-making for voting
                       members as they exercise their duties, which
                       include electing FSF board members and voting
                       members.


                       Provisions of the Code include an acknowledgement
                       of an unwavering commitment to software freedom and
                       affirmations to act in good faith, uphold privacy,
                       and not engage in harassment or discrimination when
                       acting on behalf of the organization.


                # ⚓ FSF ☛ Hackers_of_the_world_unite_at_HOPE_2022_—_Free
                  Software_Foundation_—_Working_together_for_free_software⠀⇛


                       Phreakers and hackers alike united for the Hackers
                       on Planet Earth (HOPE) conference at St. John’s
                       University in Queens, New York, and the Free
                       Software Foundation (FSF) was there to spread the
                       message of free software and do outreach to the
                       local community. As any hacker gathering is a prime
                       place to find free software activists, HOPE was
                       also the occasion for an FSF member meetup at a
                       nearby restaurant.


          o § Standards/Consortia⠀➾


                # ⚓ Tedium ☛ 10_Video_Format_Technologies_That_Didn’t_Make_It⠀⇛


                       So much of the content we experience on the modern
                       internet appears in video format, whether as a pre-
                       downloaded clip or, more commonly, though a
                       streaming interface. And while modern standards
                       have somewhat made the discussion around the “best”
                       video format somewhat moot, the side effect of that
                       is that it left a a whole bunch of dead or decaying
                       formats in its wake. As you know about us over at
                       Tedium HQ, we love things that didn’t make it, and
                       with that in mind, whether we’re talking codecs,
                       container formats, or the technologies that
                       delivered those things, today’s Tedium discusses
                       the video tech that didn’t see its way through to
                       the modern day. (Have complaints? See the
                       disclaimer.)


    * § Leftovers⠀➾


          o § Hardware⠀➾


                # ⚓ The Next Platform ☛ Strong-Armed_Into_HPC,_Like_It_Or_Not⠀⇛


                       If you are an HPC center in Europe, and
                       particularly one that is funded by public funds,
                       you are thinking about Arm-based CPUs in your
                       supercomputers. And that is despite Arm Holdings
                       being a British company and all of the issues with
                       the United Kingdom and its Brexit separation from
                       the European Union.


                       Arm is still the closest thing to a European
                       architecture that companies can deploy, and it is a
                       licensable architecture – even if it is not an open
                       one in the strictest sense – and that standard in
                       stark contrast to the X86 architecture that has
                       dominated HPC compute for three decades now.


                       This is particularly true given the A64FX processor
                       designed by Fujitsu, with its fat SVE vector
                       engines, and used in the “Fugaku” supercomputer at
                       RIKEN Lab in Japan and the intent by Arm Holdings
                       to add substantial vector processing performance in
                       its upcoming “Zeus” V1 core, which has already been
                       added to the 64-core Graviton3 (code-name unknown)
                       processor from Amazon Web Services.


                # ⚓ IT Wire ☛ iTWire_–_China’s_2Q_smartphone_sales_plumb_fresh
                  depths,_vivo_stays_top⠀⇛


                       Smartphone sales in China have fallen to a fresh
                       low in the second quarter of 2022, dropping 14.2%
                       year-on-year, the technology analyst firm
                       Counterpoint Research says.


                       No sales figures were provided, but going by the
                       figures published by Counterpoint for the second
                       quarter of 2021 — which was 75 million units — the
                       2Q 2022 figure would have been close to 64.4
                       million units.


                       The firm said the second quarter figure was less
                       than half the peak reached in the fourth quarter of
                       2016, adding that the last time sales were this low
                       was in the final quarter of 2012 when the iPhone 5
                       made its debut.


          o § Security (For-Profit FUD Attacks on ‘Linux’ Wrapped Up as Advice
            or News)⠀➾


                # ⚓ Make Use Of ☛ Linux_Malware_Found_To_Be_at_an_All-Time_High
                  in_2022 [Ed: A totally meaningless measure; unlike Windows,
                  there aren't known back doors and malware needs some way to
                  get in. This seems like commercially-motivated misinformation
                  from a private company peddling VPNs]⠀⇛


                       It has been found by AtlasVPN that new Linux
                       malware rose exponentially in the first half of
                       2022, reaching an all-time high with nearly 1.7
                       million samples discovered.


                # ⚓ LinuxSecurity ☛ Your_Linux_Firewall_Can’t_Stop_These_3
                  Attacks! [Ed: The domain linuxsecurity.com actively pushes
                  anti-Linux FUD to make sales; this is misuse of a domain]⠀⇛


                       Nowadays, Linux systems are considered fairly
                       secure, as people think that Linux rarely gets
                       infected with malware such as viruses, rootkits,
                       worms, etc. You might also see that we hardly ever
                       come across Antivirus software being sold for
                       Linux, giving the illusion that Linux is an
                       ultimately secure Operating System.


                # ⚓ CSO ☛ 8_top_SBOM_tools_to_consider [Ed: Steven J. Vaughan-
                  Nichols became LF-sponsored LF salesperson; he attacks the
                  founder of GNU with defamatory articles and belittles
                  Microsoft as a threat. Now this SBOM canard.]⠀⇛


                       To really secure software, you need to know what’s
                       inside its code. That’s why a software bill of
                       materials is essential today. It used to be that we
                       didn’t worry that much about our code’s security.
                       Bad binaries, sure. The code itself? Not so much.
                       We were so foolish.


                # ⚓ FOSSLife ☛ Cyber_Safety_Report_Outlines_Software_Security
                  Best_Practices [Ed: Biased, FOSS-hostile, self-serving FUD
                  from the SBOM profiteers. We're entered a time when FOSS-
                  hostile entities are 'lecturing' us on the risks and threats
                  of FOSS. This is what happens when organisations like LF and
                  OSI sell out.]⠀⇛


                       The recent (and persistent) Log4j incident
                       highlighted the need for standardized practices
                       that “lead to software that is secure by design,”
                       says the new report from the Cyber Safety Review
                       Board (CSRB). In this article, we’ll look at some
                       of the report’s recommendations for securing
                       software and managing vulnerabilities.


                # ⚓ Linux Foundation’s Site/Blog ☛ CRob_on_Software_Security
                  Education_and_SIRTs [Ed: Anti-Linux_people_like_Alan_Shimel
                  are used by the so-called ‘Linux’ Foundation to promote FUD;
                  this is despicable, but it’s what happens when Microsoft pays
                  the bills]⠀⇛


                # § Privacy/Surveillance⠀➾


                      # ⚓ Make Use Of ☛ 6_Privacy_Benefits_of_Using_[GNU/
                        ]Linux⠀⇛


                             
                             Open-source Linux distributions maintain your
                             privacy better than proprietary operating
                             systems. But how?


                             You may have heard that Linux is the
                             operating system to use if you care about
                             privacy. But why is that? Is your data
                             suddenly safe just because you use Linux?


                             Well, yes and no. Once you open up a web
                             browser, you can give all of your data away
                             just like you do on other platforms. But up
                             until that point, no one has any insight into
                             what you’re doing on your Linux-powered PC.
                             Let’s go through some of the reasons why.


                      # ⚓ Citizen Lab ☛ John_Scott-Railton_Delivers_Testimony
                        to_House_Permanent_Select_Committee_on_Intelligence_–
                        The_Citizen_Lab⠀⇛


                             On July 27, 2022, Citizen Lab senior
                             researcher John Scott-Railton was asked to
                             appear before the House Permanent Select
                             Committee on Intelligence. He was invited to
                             provide expert testimony on a hearing devoted
                             to combating threats to U.S. national
                             security from the proliferation of foreign
                             commercial spyware. What follows is the
                             written submission of that testimony.


                             [...]


                             This testimony is developed from a body of
                             evidence assembled by my colleagues and
                             peers, and a field of talented researchers in
                             academia, industry, and non-profit
                             organizations. Many more groups have helped
                             with victim outreach, collecting cases, and
                             collaborating in investigations.
                             Investigative journalists and reporting
                             collectives have also played a significant
                             role in shedding light on this secretive
                             world. I cannot speak for anyone else in this
                             growing ecosystem of accountability, but
                             without their critical work, this
                             conversation would not be happening. I would
                             also like to acknowledge the colleagues that
                             helped me prepare this testimony, as well as
                             Dr. Bill Marczak, whose work developing
                             techniques for scanning for various mercenary
                             spyware families has led to many of our
                             recent discoveries.


                             It is also very meaningful to me that Carine
                             Kanimba has been invited to testify. As a
                             victim of Pegasus spyware, she will be able
                             to tell you about the impact of being
                             targeted during her efforts to secure the
                             release of her father, Paul Rusesabagina,
                             from jail in Rwanda. Much of what we know
                             about mercenary spyware abuses come from
                             brave victims stepping forward, despite the
                             risks. We owe them a great debt.


          o § Civil Rights/Policing⠀➾


                # ⚓ AccessNow ☛ 15_stories_from_Tigray’s_internet_siege⠀⇛


                       It’s been two years — 20 months and counting —
                       since Tigrayans were cut off from the internet.
                       Ever since conflict broke out in November 2020,
                       they have been plunged into digital darkness that
                       puts their lives at risk, disconnects them from
                       their families, hampers their access to emergency
                       medical and humanitarian aid, and cuts them off
                       from the rest of the world. Here, we share their
                       stories and ask you to join us in the call for
                       urgent action.


                       One thing is clear from the stories collected
                       through our partners in Tigray for the Shutdown
                       Stories project: the internet shutdown is hurting
                       people. It is exacerbating violence, sowing fear
                       and confusion, and shrouding heinous crimes against
                       humanity. That includes murder, rape, and sexual
                       assault.


          o § Internet Policy/Net Neutrality⠀➾


                # ⚓ DaemonFC (Ryan Farmer) ☛ Comcast_tells_couple_they’ll_need
                  to_pay_$27,119_to_get_Home_Internet_even_though_the_rest_of
                  their_block_is_wired_for_it._–_BaronHK’s_Rants⠀⇛


                       n the United States, high speed Internet service
                       providers are like drug dealers that agree not to
                       operate in each other’s territory.


                       That way they can set prices as high as they want.


                       Comcast is getting even fatter off of the FCC’s
                       “Emergency Broadband Benefit” which gives out
                       “free” (taxpayer-subsidized) Internet to people on
                       government benefits or below 200% of the Federal
                       Poverty Line.


                       They also cut their Customer Support to the bone,
                       making people spend hours dealing with “chat
                       robots” and Interactive Voice Response systems
                       before they can get through to an agent, which is
                       often in another country, and can’t do anything
                       except schedule a lineman.


    * § Gemini* and Gopher⠀➾


          o § Personal⠀➾


                # ⚓ Church_without_church⠀⇛


                       I was raised christian, Baptist specifically, but
                       as I got older I began to question my religion. It
                       is hard to ignore all the good things that
                       christians do for people. Charities, compassion,
                       morals, hope in hard times, community support.
                       Living in Bible-belt America sometimes christianity
                       doesn’t just seem beneficial, but straight up
                       necessary. Churches dot the landscape often
                       outnumbering many other types of business and
                       organizations. Avoiding church is like avoiding
                       society in general. How do you get to know people?
                       How do you become part of the community if you
                       aren’t active in a church?


                # ⚓ Books_list⠀⇛


                       These are the books that I’m reading, have read, or
                       haven’t read. You may find many of them on
                       Gutenberg and/or Standard Ebooks, and some of them
                       in the care list. If I don’t forget, I’ll link to
                       their sources. Though less common, if I have a page
                       dedicated to a book of this list I’ll link to it
                       instead, like I did with How to Avoid a Climate
                       Disaster.


                # ⚓ Week_2:_We_Moved!⠀⇛


                       We moved to a new spot in West Philly! The new
                       place is _slightly_ bigger indoors, but I love that
                       we now have a porch to hang out in and a backyard
                       to do some gardening. I’m excited, but also super
                       tired. Moving isn’t pleasant to begin with and we
                       ended up moving during a heat wave! We’re also not
                       done yet. We have a lot of unpacking to do over the
                       next few weeks. Look at all this mess!


                # ⚓ Hard_Determinism⠀⇛


                       Thoughts on Hard Determinism, as described in
                       Philosophy 101, by Paul Kleinman.


                       Hard determinism, as described in the book, states
                       that everything is determined by past events. It is
                       not clear from the book if it’s meant to be applied
                       only to the physical world, beings’ behaviour, or
                       both, but it treats only human behaviour.


                       Applied to human behaviour, the idea holds that we
                       have no effect in future events, because we cannot
                       do anything other than what we’re predetermined to
                       do, essentially meaning that we have no free will.


          o § Politics⠀➾


                # ⚓ Sunset_Briefly_Gets_Political:_The_Dobbs_Decision⠀⇛


                       I have no intention of making politics a regular
                       feature of this gemlog – however, I felt the need
                       to comment on an issue that has been on my mind for
                       several months: namely, SCOTUS’s decision in Dobbs
                       v. Jackson Women’s Health Organization.


                       Research has shown that abortion prohibition does
                       not actually reduce abortion, but drives it
                       underground – and into the realm of unsafe
                       procedures that can result in the death of the
                       woman involved. Regardless of one’s personal
                       opinion on the morality of abortion itself,
                       abortion bans are directly harmful to women’s
                       safety and health. A compassionate society is one
                       that trusts people to make their own decisions on
                       reproductive healthcare.


                # ⚓ Nuclear_Disagreements⠀⇛


                       There is this vibe among the Swedish mainstream
                       rightwing politicians that climate change is real,
                       but, “isn’t gonna be a problem once we have enough
                       nuclear plants”.


                       As with all optimism, I sure hope they’re right,
                       but it’s scary because I don’t see it as that
                       credible since it’s such a slow and expensive
                       solution compared to faster tracks like sun and
                       wind. The recency bias of market capitalism put us
                       in this mess but might benefit us if it steers us
                       away from nukes.


                       A lot of the same battery and motor tech that’s
                       useful for nuclear in the distant future is useful
                       for sun and wind now, so people should really get
                       off the “lol, we’ll just wait for nuclear, and burn
                       gasoline until then” crazy train and start
                       switching to electric (and frugality) right now.
                       Whether as a stepping stone or as the be-all, end-
                       all.


          o § Technical⠀➾


                # ⚓ CPU_Performance:_1999-2007⠀⇛


                       The early 2000s were an interesting era – they
                       marked a widespread die-off of legacy high-end
                       RISCs and an exciting new entrant in the form of
                       the joint Intel/HP Itanium family. I decided to
                       throw together some graphs of performance by family
                       over time, drawn from SPECint and SPECfp base
                       results.


                # ⚓ My_Pi_0_clock⠀⇛


                       My electronics projects seem to consist mostly of
                       writing clocks. I have made one for an Arduino
                       Nano, an STM32, an ESP32, and a Raspberry Pi 0. I
                       am rather jealous of people who can make purely-
                       electronic projects. Other people make this seem so
                       easy, but I think they have a lot internalised
                       knowledge that they don’t present when they make
                       YouTube videos. I feel that I lack the kind of
                       foundational knowledge to bring their projects to
                       fruition. One outstanding project was a guy who
                       made a digital clock using resistors, capacitors,
                       etc., but no microcontroller. He got the timing to
                       work based on the fact that the British electrical
                       supply worked on 50Hz. I’d be too scared that I’d
                       electrocute my sorry arse.


                # ⚓ CHIP-8⠀⇛


                       The CHIP-8 looks to be much more primitive than the
                       aforementioned offerings. I haven’t used it. I
                       think there was a guy on YouTube that showed how to
                       create an emulator and assembler, probably in Rust.


                       The CHIP-8 has variants that improve it in various
                       ways. I think that there was one university
                       professor who taught historical game development,
                       and used CHIP-8 on one of his courses.


                       I had toyed with the idea of learning about CHIP-8,
                       and maybe incorporating it in my up-and-coming BBS.
                       Might be a little selling point to stir up a bit of
                       interest. Maybe. We’ll see.


                # ⚓ Code_Density_Compared_Between_Way_Too_Many_Instruction
                  Sets⠀⇛


                       A lot of code density claims I see online – “RISC-
                       V code density is best in class”, “x86 code density
                       is better than any RISC”, – have always struck me
                       as unlikely and inconsistent with what I’ve seen in
                       the trenches. After I tried and failed to find a
                       modern comparison with a broad range of instruction
                       sets, I decided to run my own. The cool-kid
                       approach to this would be to use SPEC or similar,
                       and look at density alongside dynamic and static
                       instruction counts, but I have a deep-seated
                       loathing of both SPECtools and the subtests
                       themselves and had no desire to try to make them
                       build for m68k or Xtensa. (nb: SPEC is actually a
                       great benchmark – the best available. It just isn’t
                       always much fun.) Instead, I did it the janky way:
                       do a buildroot run, with -Os and as few changes to
                       default settings as possible, and count the bytes
                       in the busybox executable. The results were
                       unsurprising in places – Thumb2 being excellent,
                       for instance – but I was surprised to see just how
                       terrible the density of the “classic” RISCs is.


                # ⚓ RE:_PICO-8_and_TIC-80⠀⇛


                       Pico-8 was my introduction to fantasy consoles like
                       these and it came through the PocketCHIP handheld
                       computer. Every PocketCHIP came with a copy of Pico
                       8 installed and it was a really fun way to play
                       some retro-style games on that rad geeky portable
                       computer. It wasn’t until quite a bit later that I
                       learned about other fantasy consoles but they are
                       something I find really cool and fun even as
                       someone who just likes playing games and doesn’t
                       program anything. The result of the hard artificial
                       limits is that there is a pretty rapid supply of
                       all kinds of creative, silly, fun and occasionally
                       impressively well done games to play. There are
                       quite a few different fantasy consoles now but
                       Pico-8 is still the top of the heap and I would
                       estimate that TIC-80 is second most popular.


                # ⚓ Why_you_should_not_disable_SELinux⠀⇛


                       This post is inspired by a 3 month blogpost[1]
                       suggesting you disable SELinux (and the comments
                       within and on the orange site) as well as the
                       Nobara project. For the uninitiated, Nobara is a
                       gaming focused Fedora remix designed to work “out
                       of the box” for gamers. However, one of the things
                       it does is set SELinux to permissive mode which I
                       do not recommend at all.


                # § Games⠀➾


                      # ⚓ Warpspawn_Games⠀⇛


                             Two years ago I stumbled into the website of
                             Warpspawn Games, and a few days ago (no… a
                             few months ago, as I did not get around to
                             complete this post until now) a thread on
                             Boardgamegeek reminded me that they exist. Or
                             existed. Warpspawn Games was mainly the work
                             of a Lloyd Krassner, who passed away in 2020.
                             I have no idea who he was, but I am
                             fascinated by what he achieved. BGG lists 924
                             games designed by him. Warpspawn as publisher
                             of 1032 games (a few others contributed games
                             as well). From what I can tell those were all
                             created from 1997 to 2017, and posted as free
                             print’n’play downloads.


                             Unfortunately the full catalogue of Warpspawn
                             is no longer available. A total of five Yahoo
                             Groups and Google Groups existed for hosting
                             some of the files, and both those sites are
                             long gone now. Some fan-made(!) materials
                             posted by others are also no longer available
                             or can only be found via archive.org.


                # § Internet/Gemini⠀➾


                      # ⚓ a_smol_mobile_post?⠀⇛


                             I never tried to post on S.p via my phone.
                             But that is what I am doing now. Seems to
                             being working just fine 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇:
                             )⦈


                             I didn’t have a pre-determined entry in mind
                             when I started though. So this is impromptu
                             text entry.


                      # ⚓ Whitespace,_part_3⠀⇛


                             The only data type in Whitespace is
                             “arbitrarily large integer” which can
                             represent a character or a heap address or a
                             plain old integer. It’s easy to get it wrong.
                             You want to do arithmetic on a heap value,
                             but you forget that you have an address, not
                             the number. You still have an integer waiting
                             for the next instruction, but it won’t be the
                             one you wanted. Thank heaven I have a
                             debugger.


                             I implemented a reverse Polish calculater,
                             and it was pleasing to write something
                             moderately useful. But with only integers, it
                             was not *that* useful. Then I thought I could
                             represnt a float as two integers, Value and
                             Scale, which represent V×10^S. So I
                             implemented a bunch of floating point
                             arithmetic macros, and now I have a floating
                             point calculator in a language that doesn’t
                             support floats.


                # § Programming⠀➾


                      # ⚓ Pangamebook_1.3.0⠀⇛


                             Minor update to Pangamebook again. Version
                             1.3.0 makes it possible to disable numbering
                             of gamebook sections by setting metadata
                             gamebook-numbers to false (similar to how
                             shuffling could already be disabled by
                             setting gamebook-shuffle to false).


                             This is intended for debugging. Leave
                             shuffling enabled, but disable numbering, and
                             it is easier to see where all sections ended
                             up.


                      # ⚓ gitclean_zsh_command⠀⇛


                      # ⚓ Update_on_Forth_RP2040_I2C_Driver_Project⠀⇛


                             I am still working on the I2C driver project
                             during my lunch breaks, to utilize the built-
                             in circuitry for I2C communication on my Rpi
                             Pico, for Mecrisp Stellaris Forth.


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



                    ䷩ 𝚕𝚒𝚗𝚎 4740

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 07.28.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


Gemini_version_available_♊︎


✐ Links_28/07/2022:_Ventoy_Expansions⠀✐


Posted in News_Roundup at 11:06 am by Dr. Roy Schestowitz


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * GNU/Linux
          o Desktop/Laptop
          o Instructionals/Technical
          o Games
    * Distributions_and_Operating_Systems
          o Fedora_Family_/_IBM
          o Debian_Family
          o Devices/Embedded
          o Open_Hardware/Modding
          o Mobile_Systems/Mobile_Applications
    * Free,_Libre,_and_Open_Source_Software
          o Productivity_Software/LibreOffice/Calligra
          o Content_Management_Systems_(CMS)
          o Openness/Sharing/Collaboration
                # Open_Access/Content
          o Programming/Development
                # Python
                # Shell/Bash/Zsh/Ksh
    * Leftovers
          o Science
          o Hardware
          o Health/Nutrition/Agriculture
          o Proprietary
          o Security
                # Privacy/Surveillance
          o Defence/Aggression
          o Transparency/Investigative_Reporting
          o Environment
                # Energy
                # Wildlife/Nature
                # Overpopulation
          o Finance
          o AstroTurf/Lobbying/Politics
          o Censorship/Free_Speech
          o Freedom_of_Information_/_Freedom_of_the_Press
          o Civil_Rights/Policing
          o Internet_Policy/Net_Neutrality
          o Digital_Restrictions_(DRM)
          o Monopolies
                # Patents
                # Trademarks
                # Copyrights
    * Gemini*_and_Gopher
          o Personal
          o Politics
          o Technical
                # Science
                # Internet/Gemini
    * § GNU/Linux⠀➾


          o § Desktop/Laptop⠀➾


                # ⚓ HowTo Geek ☛ It’s_Time_to_Stop_Dual-Booting_Linux_and
                  Windows⠀⇛


                       If you plan on using Linux on a PC all of the time,
                       instead of constantly switching back and forth
                       between Windows, one of the best Linux laptops
                       might be worth considering. Deleting Windows
                       entirely from a PC that shipped with Windows also
                       works, but computers built for Linux often have
                       fewer driver problems. The Dell XPS 13 Plus is now
                       certified for Ubuntu 22.04 (and optionally ships
                       with it), and HP just released the ‘Dev One’ in
                       partnership with System76, the developer of Pop!_OS
                       Linux.


          o § Instructionals/Technical⠀➾


                # ⚓ UNIX Cop ☛ How_to_install_PHP_7.4_on_Ubuntu_22.04?⠀⇛


                       Ubuntu 22.04 includes by default PHP 8.1 which is
                       one of the most recent versions of this language.
                       And if I want PHP 7.4 in Ubuntu 22.04, how do I do
                       it? Well, this post is to help you with that.


                # ⚓ How_to_add_mods_to_Stardew_Valley_on_the_Steam_Deck_–
                  WIN.gg⠀⇛


                       Looking to play Stardew Valley with mods on your
                       Steam Deck? It’s possible! Here’s how to add onto
                       the classic farming sim.


                # ⚓ HowTo Geek ☛ How_to_Use_the_arping_Command_on_Linux⠀⇛


                       The Linux arping command is like ping, but for
                       local networks only. Its advantage is it operates
                       at a lower networking level, sometimes getting
                       responses when ping cannot. Here’s how to use it.


                # ⚓ Citizix ☛ How_to_upload_files_and_Images_with_Python
                  Django⠀⇛


                       Django is a free and open-source, Python-based web
                       framework that follows the model–template–views
                       architectural pattern. Django advertises itself as
                       “the web framework for perfectionists with
                       deadlines” and “Django makes it easier to build
                       better Web apps more quickly and with less code”.
                       Django is known for the speed at which you can
                       develop apps without compromising on robustness.


                       Django makes it easy for us to perform file uploads
                       because it provides built-in library and methods
                       that help to upload a file to the server.


                # ⚓ Linux Made Simple ☛ How_to_install_Project+_v2.29_on_a
                  Chromebook⠀⇛


                       Today we are looking at how to install Project+
                       v2.29 on a Chromebook. Please follow the video/
                       audio guide as a tutorial where we explain the
                       process step by step and use the commands below.


                # ⚓ Linux Capable ☛ How_to_Install_ModSecurity_3_+_OWASP_with
                  Nginx_on_Rocky_Linux_9_–_LinuxCapable⠀⇛


                       ModSecurity, often referred to as Modsec, is a
                       free, open-source web application firewall (WAF).
                       ModSecurity was created as a module for the Apache
                       HTTP Server. However, since its early days, the WAF
                       has grown and now covers an array of HyperText
                       Transfer Protocol request and response filtering
                       capabilities for various platforms such as
                       Microsoft IIS, Nginx, and Apache. ModSecurity’s
                       primary role is to provide protection for web
                       applications by filtering incoming traffic and
                       blocking malicious requests. The WAF can also be
                       configured to monitor traffic for certain types of
                       activity, such as SQL injection attacks, and
                       generate alerts when such activity is detected. In
                       addition to its security benefits, ModSecurity can
                       improve web performance by caching rules and
                       eliminating the need to repeatedly process the same
                       request.


                # ⚓ Linux Capable ☛ How_to_Install_Sails.js_Framework_with
                  Nginx_on_Rocky_Linux_9_–_LinuxCapable⠀⇛


                       Sails.js is a robust Javascript framework that
                       makes it easy to build enterprise-grade Node.js
                       applications. It resembles the MVC architecture of
                       frameworks like Ruby on Rails but with improved
                       support for the more data-oriented modern style of
                       web development. Additionally, Sails.js is
                       compatible with a wide range of front-end
                       technologies, including Angular, React, iOS,
                       Android, and Windows Phone. This makes it ideal for
                       developing complex web applications that must run
                       on multiple platforms. With its robust features and
                       easy-to-use API, Sails.js is the perfect tool for
                       building high-quality Node.js applications.


                       In the following tutorial, you will learn how to
                       install Sails.js on Rocky Linux 9 and access the
                       web-based interface by installing and configuring
                       an Nginx reverse proxy setup.


                # ⚓ Linux Shell Tips ☛ How_to_Search_and_Replace_Text_in_Nano
                  Editor⠀⇛


                       As you grow and mature your computing skills and
                       prowess under the Linux ecosystem, you soon find
                       yourself comfortable with the productivity status
                       associated with the Linux command-line environment.


                       The fact is true, especially for users seeking to
                       master Linux administration footprints. The nano
                       editor is an important file editing tool for such
                       users. It even makes more sense to use nano editor
                       server environments where GUI is not available.


                       Nano text editor is not as advanced as the likes of
                       vim editor but it qualifies as the perfect starting
                       point before Linux users can transition to those
                       other text editors.


                       This article will walk us through searching and
                       replacing text on a file opened under the nano text
                       editor in Linux systems.


                # ⚓ HowTo Forge ☛ How_to_Install_Joomla_with_Apache_and_free
                  Let’s_Encrypt_SSL_on_Alma_Linux_8⠀⇛


                       Joomla is a free, open-source, and one of the most
                       popular Content Management systems. In this
                       tutorial, you will learn how to install Joomla CMS
                       with Apache and Let’s Encrypt SSL on Alma Linux 8.


                # ⚓ Linux Shell Tips ☛ How_to_Change_Default_User_Home
                  Directory_in_Linux⠀⇛


                       Before we can jump into changing the default user
                       home directory on a Linux operating system
                       environment, we should brief through some
                       theoretical and practical information related to
                       the Linux home directory.


                       By definition, Linux is a multi-user operating
                       system, which creates the need for a universal
                       directory called the Home directory where different
                       OS users can store and create personalized/user-
                       centered files and directories.


                       These files and directories are only accessible to
                       the homeowner (currently logged-in user).
                       Therefore, each time a new user is created on a
                       Linux environment, the user is associated with a
                       unique home directory accessible only to that user.


                       On the other hand, the existence of these universal
                       directories also permits a universal user (other
                       than the homeowner) to have access to them. This
                       user is known as root and can access all homeowner
                       directories within a Linux system.


                # ⚓ ID Root ☛ How_To_Install_Google_Chrome_on_Linux_Mint_21_–
                  idroot⠀⇛


                       In this tutorial, we will show you how to install
                       Google Chrome on Linux Mint 21. For those of you
                       who didn’t know, Google Chrome is a well-known,
                       secure, and efficient web browser. It is also
                       considered the fastest and most stable web browser.
                       Chrome has a ton of features that make browsing the
                       web a better experience and also Chrome is synced
                       with your Google account, so your bookmarks and
                       passwords will be available on all your devices.


                       This article assumes you have at least basic
                       knowledge of Linux, know how to use the shell, and
                       most importantly, you host your site on your own
                       VPS. The installation is quite simple and assumes
                       you are running in the root account, if not you may
                       need to add ‘sudo‘ to the commands to get root
                       privileges. I will show you the step-by-step
                       installation of a Google Chrome web browser on a
                       Linux Mint 21 (Vanessa).


                # ⚓ Ubuntubuzz ☛ OpenShot_Video_Editing_Part_1:_Getting
                  Started⠀⇛


                       This is the first part of beginner’s video editing
                       tutorial with OpenShot. OpenShot is a small, user
                       friendly, fast, multiplatform yet full-featured
                       video editor alternative to Movie Maker. In this
                       part, we will begin everything including installing
                       the program, running it, and getting started to the
                       user interface. Finally, this tutorial is intended
                       mainly for school teachers. Now let’s practice!


                # ⚓ Video ☛ Linux_CLI_in_60_Seconds_–_apt_–_Invidious⠀⇛


                       Linux Commands in 60 Seconds is a YouTube shorts
                       series that teaches you simple examples of common
                       Linux commands. In this video, the apt command is
                       shown.


                # ⚓ Linux Handbook ☛ What_is_Dash_Shell_in_Linux?⠀⇛


                       What is Dash Shell in Linux?


                       Dash is one of the least known names when you think
                       about shell family. But Dash is not meant to
                       replace your current shell and works under the
                       hood.


                       You must have many questions related to Dash such
                       as what is its use case, how it’s different from
                       your regular shell, and so on. So let’s dive deep
                       into Dash.


                # ⚓ Trend Oceans ☛ How_to_Create_Multiple_Files_and_Directories
                  at_Once_in_a_Linux_Terminal⠀⇛


                       If you are using Linux, then you know how to use
                       the mkdir command to create a directory, and for
                       files, we use the touch command, which creates an
                       empty file in a second without using any command
                       line editor.


                       Both commands are handy to use, but how do I use
                       this command to create multiple files and
                       directories at once? Because it’s easy to create
                       multiple files of 10 directories or files, but if
                       someone asks you to create 100 files, you cannot
                       easily do it until you find this article.


          o § Games⠀➾


                # ⚓ GamingOnLinux ☛ Steam_Deck_Beta_gets_Firefox_as_Flatpak,
                  mentions_“future_controller_hardware_revisions”⠀⇛


                       Valve has released a new SteamOS Beta update for
                       Steam Deck and it finally sorts out the Firefox
                       situation, along with hints of hardware changes, or
                       a new controller coming?


                # ⚓ GamingOnLinux ☛ The_Excavation_of_Hob’s_Barrow_has_some
                  real_fancy_pixel-art⠀⇛


                       Gimme! The Excavation of Hob’s Barrow is an
                       upcoming adventure from developer Cloak and Dagger
                       Games with publishing from Wadjet Eye Games and it
                       instantly grabbed my attention.


                # ⚓ GamingOnLinux ☛ September_will_bring_the_melee_focused
                  Steam_Bash_Bash_event⠀⇛


                       Valve has announced that the Steam Bash Bash event
                       will be going live between September 19 and
                       September 26. This particular event is more of a
                       violent one with the focus on hack and slash,
                       spectacle fighters and whatever games focus on some
                       form of melee fighting hence the bash bash.


                # ⚓ GamingOnLinux ☛ Hobo_Cat_Adventures_features_dark_humour
                  and_souls-like_combat_–_now_on_Linux⠀⇛


                       Here’s one missed from earlier in July, the
                       colourful 3D platformer Hobo Cat Adventures gained
                       Native Linux support. Looks pretty great too with
                       some dark humour and apparently souls-like combat
                       (in other words, difficult).


                # ⚓ GamingOnLinux ☛ Terminal-based_game_inspired_by_Pokémon
                  gets_a_big_upgrade_with_audio⠀⇛


                       Pokete is a game we introduced you too recently
                       that’s inspired by Pokémon but you play it in a
                       terminal. A new release is out bringing some nice
                       advancements.


                # ⚓ GamingOnLinux ☛ VRChat_adds_Easy_Anti-Cheat,_community_not
                  happy_but_Linux_and_Steam_Deck_work_fine⠀⇛


                       Despite the name, VRChat is not a VR-only space and
                       it’s incredibly popular. Recently though, they
                       added in Easy Anti-Cheat and the community is
                       currently very unhappy with it.


                # ⚓ GamingOnLinux ☛ Cancelled_space_sim_Limit_Theory_opens_up
                  the_source_code⠀⇛


                       Limit Theory was a once very promising looking
                       space sim that was funded on Kickstarter. Sadly the
                       developer cancelled it but now as promised they’ve
                       opened up the source code. Most of the code is
                       under the “The Unlicense”, which is OSI approved so
                       it is properly open source too.


    * § Distributions and Operating Systems⠀➾


          o ⚓ 9to5Linux ☛ Ventoy_Multiboot_USB_Creator_Adds_Support_for_Fedora
            CoreOS,_More_Than_940_ISOs⠀⇛


                 
                 The big news in Ventoy 1.0.79 is support for Fedora
                 CoreOS, a minimal Linux distribution developed by the
                 Fedora Project and sponsored by Red Hat after they
                 acquired the CoreOS Linux project back in January 2018.
                 This bumps the total officially supported ISOs to more
                 than 940.


                 The Ventoy 1.0.79 release also comes with several bug
                 fixes to address a bug that occurred when Red Hat
                 Enterprise Linux-based distributions used an external
                 kickstart file, a bug that made the VTOY_LINUX_REMOUNT
                 option to have no effect in openSUSE Linux, as well as a
                 bug that broke the autosel option.


          o ⚓ DebugPoint ☛ Top_10_32-Bit_Linux_Distributions_in_2022_
            [Compared]⠀⇛


                 A list of ten 32-bit Linux distributions which is still
                 going strong and can easily be adopted for older hardware
                 that supports i686.


          o ⚓ Its FOSS ☛ It’s_Time_to_Ditch_32-Bit_Linux_for_64-Bit⠀⇛


                 
                 We have plenty of Linux distributions tailored for 32-bit
                 systems.


                 So, why do I want to discourage using 32-bit and upgrade
                 to 64-bit Linux instead?


                 There are a couple of reasons, and one of the biggest
                 reasons came to the spotlight this week.


          o § Fedora Family / IBM⠀➾


                # ⚓ Bleeping Computer ☛ Fedora_ditches_‘No_Rights_Reserved’
                  software_over_patent_concerns⠀⇛


                       The Fedora Project has announced that it will no
                       longer permit Creative Commons ‘No Rights Reserved’
                       aka CC0-licensed code in its Linux distro or the
                       Fedora Registry.


                       Fedora is a Linux distribution, developed and
                       maintained by the Fedora Project, with sponsorship
                       support from Red Hat and other parties.


                       The decision to ditch CC0-licensed open source
                       software stems from the fact it could, in the
                       future, pose patent issues.


          o § Debian Family⠀➾


                # ⚓ CNX Software ☛ Review_of_SunFounder_TS7-Pro_7-inch
                  touchscreen_display_for_Raspberry_Pi_4⠀⇛


                       
                       SunFounder TS7-Pro is a 7-inch touchscreen display
                       designed for Raspberry Pi 4 board and the company
                       sent us one review sample for evaluation.
                       SunFounder has a wide range of Raspberry Pi and
                       Arduino accessories designed for makers, and the
                       TS7-Pro 7 is their latest offering that’s optimized
                       to work with Raspberry Pi 4 and Raspberry Pi 3.


                       Adding a touchscreen display to a Raspberry Pi may
                       be a bit messy with the display or other
                       accessories such as cameras and/or 2.5-inch drive
                       spread on the table, but the TS7-Pro display
                       simplifies all that with a neater assembly. Let’s
                       start the review with an unboxing


          o § Devices/Embedded⠀➾


                # ⚓ CNX Software ☛ 7.9-inch_ultrawide_HDMI_display_works_with
                  Raspberry_Pi_SBC⠀⇛


                       
                       If you are looking for an ultrawide display to show
                       information on your PC or Raspberry Pi, there’s a
                       7.9-inch IPS display with 1280×400 resolution that
                       may meet your requirements.


                       The display is powered through a USB port and
                       outputs video through an HDMI 1.4 input port, so it
                       should work with any hardware equipped with HDMI
                       input and a USB port.


                # ⚓ Linux Gizmos ☛ SolidRun_presents_SolidWAN_devices_with
                  ports_dedicated_Ethernet_SFP_support⠀⇛


                       Yesterday, SolidRun introduced the SolidWAN system-
                       level solutions for software-defined wide area
                       networks. The new products consist of two network
                       devices based on the LX2160A System on Chip (SoC)
                       from NXP.


                       The SolidWAN LX2160A and the SolidWAN Dual LX2160A
                       offer similar features. The first device features a
                       sixteen-core NXP LX2160A SoC while the dual version
                       offers up to 32-cores for increased performance.
                       According to the datasheet, both models can run on
                       Debian, Ubuntu, OpenWrt and they offer AES
                       acceleration and virtualization support. 


          o § Open Hardware/Modding⠀➾


                # ⚓ Hackaday ☛ DIY_Retrograde_Clock_Is_3D_Printed⠀⇛


                       Retrograde clocks are unique, in that they eschew
                       the normal fully-circular movement for the hands.
                       Instead, the hands merely sweep out a segment of a
                       circular arc, before jumping back to their start
                       position to begin again. They’re pretty rare to
                       find, but [Jamie Matthews] decided he had to have
                       one. Thusly, he elected to build his own!


          o § Mobile Systems/Mobile Applications⠀➾


                # ⚓ MakeTech Easier ☛ 4_Simple_Ways_to_Recover_Deleted_Phone
                  Numbers_on_Android_–_Make_Tech_Easier⠀⇛


                # ⚓ New_Android_Games:_Best_New_Android_Games_This_Week_–_Droid
                  Gamers⠀⇛


                # ⚓ TechRadar ☛ Millions_of_Android_devices_infected_with
                  wallet-draining_malware_|_TechRadar⠀⇛


                # ⚓ Kim Kommando ☛ Delete_these_36_malicious_apps_from_your
                  Android_phone_right_now⠀⇛


                # ⚓ SlashGear ☛ Google_Says_It’ll_Crush_The_Worst_Ads_On
                  Android⠀⇛


                # ⚓ Ghacks ☛ Opinion:_Firefox_for_Android_needs_best-in-class
                  ad-blocking_and_privacy_protections_to_compete_–_gHacks_Tech
                  News⠀⇛


    * § Free, Libre, and Open Source Software⠀➾


          o § Productivity Software/LibreOffice/Calligra⠀➾


                # ⚓ Its FOSS ☛ LibreOffice_vs_OpenOffice:_What’s_the
                  Difference?⠀⇛


                       
                       LibreOffice and OpenOffice are two popular open-
                       source alternatives to Microsoft Office.


                       Any of them can be recommended if you are looking
                       for an open-source office suite with a word
                       processor, spreadsheet, presentation, and a few
                       other programs.


                       However, to make the best of an office suite, you
                       should know the differences between them to decide
                       what’s best for you.


                       Should you use LibreOffice or OpenOffice? What are
                       the differences? Here, I explore more about that.


          o § Content Management Systems (CMS)⠀➾


                # ⚓ Linux Links ☛ 4_Best_Free_and_Open_Source_C_Static_Site
                  Generators⠀⇛


                       
                       LinuxLinks, like most modern websites, is dynamic
                       in that content is stored in a database and
                       converted into presentation-ready HTML when readers
                       access the site.


                       While we employ built-in server caching which
                       creates static versions of the site, we don’t
                       generate a full, static HTML website based on raw
                       data and a set of templates. However, sometimes a
                       full, static HTML website is desirable. Because
                       HTML pages are all prebuilt, they load extremely
                       quickly in web browsers.


                       There are lots of other advantages of running a
                       full, static HTML website.


          o § Openness/Sharing/Collaboration⠀➾


                # § Open Access/Content⠀➾


                      # ⚓ Times Higher Education ☛ Nature_and_University_of
                        California_expand_open-access_pact⠀⇛


                             The University of California system has
                             reached an open-access agreement with the
                             Nature journals, growing UC’s transformative
                             series of publisher pacts but also showing
                             its persistent cost-based limits.


                             UC’s new arrangement expands a relationship
                             first reached in 2020 with Springer Nature by
                             adding the company’s prestigious Nature
                             family of journals to the open-access options
                             available to UC authors.


                             The 2020 agreement led to a tripling of open-
                             access articles by UC authors publishing in
                             the journals that Springer Nature made
                             eligible for it, the company said in its
                             announcement of the expansion.


          o § Programming/Development⠀➾


                # ⚓ Raspberry Pi ☛ Young_people’s_projects_for_a_sustainable
                  future⠀⇛


                       This post has been adapted from an article in issue
                       19 of Hello World magazine, which explores the
                       interaction between technology and sustainability.


                # ⚓ Raspberry Pi ☛ What_we_learnt_from_the_CSTA_2022_Annual
                  Conference⠀⇛


                       From experience, being connected to a community of
                       fellow computing educators is really important,
                       especially given that some members of the community
                       may be the only computing educator in their school,
                       district, or country. These professional
                       connections enable educators to share and learn
                       from each other, develop their practice, and
                       importantly reduce any feelings of isolation.


                # ⚓ Bunnie Huang ☛ The_Plausibly_Deniable_DataBase_(PDDB):_It’s
                  Real_Now!_«_bunnie’s_blog⠀⇛


                       Earlier I described the Plausibly Deniable DataBase
                       (PDDB). It’s a filesystem (like FAT or ext4),
                       combined with plausibly deniable full disk
                       encryption (similar to LUKS or VeraCrypt) in a
                       “batteries included” fashion. Plausible deniability
                       aims to make it difficult to prove “beyond a
                       reasonable doubt” that additional secrets exist on
                       the disk, even in the face of forensic evidence.


                # ⚓ OpenSource.com ☛ Use_this_nifty_Unix_tool_to_process_text
                  on_Linux⠀⇛


                       Unix has always excelled at processing text, and
                       Linux is no different. And the tools to work with
                       and transform text files still exist on all Linux
                       systems.


                       Like other computer systems, early Unix printed on
                       paper, using a typewriter-style printing device.
                       These printers provided limited formatting options,
                       but with clever application of Unix tools, you
                       could prepare professional-looking documents.


                       One such tool was the pr tool, to prepare text
                       documents for printing. Let’s explore how to use
                       standard Unix tools, such as the pr processor and
                       the fmt text formatter, to prepare text files for
                       printing on a typewriter-style printer.


                # ⚓ OSTechNix ☛ A_Brief_Introduction_To_Dockerfile⠀⇛


                       In this guide, we will see a brief introduction to
                       Dockerfile and how to use Dockerfile to automate
                       the process of building custom docker images.


                # § Python⠀➾


                      # ⚓ Python Speed ☛ The_limits_of_Python_vectorization_as
                        a_performance_technique⠀⇛


                             Vectorization in Python, as implemented by
                             NumPy, can give you faster operations by
                             using fast, low-level code to operate on bulk
                             data. And Pandas builds on NumPy to provide
                             similarly fast functionality. But
                             vectorization isn’t a magic bullet that will
                             solve all your problems: sometimes it will
                             come at the cost of higher memory usage,
                             sometimes the operation you need isn’t
                             supported, and sometimes it’s just not
                             relevant.


                # § Shell/Bash/Zsh/Ksh⠀➾


                      # ⚓ TecMint ☛ 30_Ways_to_Validate_Configuration_Files_or
                        Scripts_in_Linux⠀⇛


                             Configuration syntax checking and/or testing
                             is a key step to perform after making changes
                             to an application’s or service’s
                             configuration file or even after running
                             updates. This helps to reduce the chances of
                             the service failing to restart due to
                             configuration errors.


                             Several applications/programs or service
                             daemons ship with commands to check
                             configuration files for syntax correctness.
                             We have put together a list of common
                             applications and services on Linux systems
                             and how to test or validate their
                             configuration files.


    * § Leftovers⠀➾


          o ⚓ Hackaday ☛ You_Can_Build_A_Giant_7-Segment_Display_Of_Your_Very
            Own⠀⇛


                 Sometimes you need to display a number nice and large,
                 making it easily readable at a good distance. [Lewis] has
                 just the thing for that: a big expandable 7-segment
                 display.


          o ⚓ Hackaday ☛ Simple_Universal_Modem_Helps_Save_And_Load_Data_From
            Tape⠀⇛


                 Back in the early days of the home computer revolution,
                 data was commonly saved on tape. Even better, those tapes
                 would make an almighty racket if you played them on a
                 stereo, because the data was stored in an audio format. 
                 The Simple Universal Modem from [Anders Nielsen] is built
                 to work in a similar way, turning data into audio and
                 vice versa.


          o ⚓ The Nation ☛ Pulling_Punches⠀⇛


                 As a mode of recommendation, the newspaper fiction review
                 has less to recommend it than ever before. Space
                 limitations, personal considerations, and editorial
                 preferences combine to force it to assume a somewhat
                 gaunt profile: What many readers encounter are cautious
                 judgments affixed to a skeletal summary, leaving little
                 opening for the decisive and expansive claims on a
                 reader’s attention that make a piece of criticism
                 valuable on its own, or even simply viral. Limited in
                 terms of space and energy, the newspaper review also
                 faces a raft of online competition better suited to the
                 digital age—sites like Amazon and Goodreads that
                 aggregate and quantify consumer-oriented opinion—as well
                 as those longer essay reviews or works of literary
                 criticism that appear in general-interest or so-called
                 little magazines and tend to situate the given book in a
                 political, intellectual, or aesthetic context.


          o ⚓ Counter Punch ☛ Biden_Should_Remove_Cuba_from_the_Infamous_State
            Sponsors_of_Terrorism_List⠀⇛


                 Being on this list subjects Cuba to a series of
                 devastating international financial restrictions. It is
                 illegal for U.S. banks to process transactions to Cuba,
                 but U.S. sanctions also have an unlawful extraterritorial
                 reach.  Fearful of getting in the crosshairs of U.S.
                 regulations, most Western banks have also stopped
                 processing transactions involving Cuba or have
                 implemented new layers of compliance. This has hampered
                 everything from imports to humanitarian aid to
                 development assistance, and has sparked a new European
                 campaign to challenge their banks’ compliance with U.S.
                 sanctions.


                 These banking restrictions and Trump-era sanctions,
                 together with the economic fallout from COVID-19, have
                 led to a severe humanitarian and economic crisis for the
                 very Cuban people the administration claims to support.
                 They are also a major cause of the recent increase in
                 migration of Cubans that has become a major political
                 liability for the Biden administration.


          o ⚓ Common Dreams ☛ Opinion_|_Biden_Should_Remove_Cuba_from_the
            Infamous_State_Sponsors_of_Terrorism_List⠀⇛


                 As the Cuban government celebrates the July 26 Day of the
                 National Rebellion–a public holiday commemorating the
                 1953 attack on the Moncada Barracks that is considered
                 the precursor to the 1959 revolution–U.S. groups are
                 calling on the Biden administration to stop its cruel
                 sanctions that are creating such hardship for the Cuban
                 people. In particular, they are pushing President Biden
                 to take Cuba off the list of state sponsors of terrorism.


          o ⚓ The Nation ☛ 10_Years_On,_London’s_Olympic_Legacy_Is_in
            Shambles⠀⇛


                 It was all so innocent then. Back in 2012, London was a
                 city filled with Olympic dreams. There was frivolity.
                 There was a measure of national unity. There were many
                 pints. No one had yet heard the word “Brexit.” And the
                 London mayor, a clownish lad by the name of Boris
                 Johnson, was several years away from leading a crisis-
                 ridden British political system down the sewer. He was
                 too busy getting stuck on a zip line. As everyone
                 laughed, they did not realize that 10 years later, the
                 joke would be on them.


          o § Science⠀➾


                # ⚓ IBM Old Timer ☛ Irving_Wladawsky-Berger:_The_2001_Hispanic
                  Engineer_of_the_Year_Award⠀⇛


                       In 2001, I had the honor of being named Hispanic
                       Engineer of the Year by Great Minds in Stem (GMiS),
                       – one of the proudest moments in my career. GMiS is
                       an organization dedicated to ensuring that Hispanic
                       students of all ages are inspired to pursue careers
                       in Science, Technology, Engineering and Math
                       (STEM). For 33 years, GMiS has recognized the
                       achievements of the top engineers and scientists in
                       the US Hispanic community that have been nominated
                       in more than 20 categories in industry, government,
                       academia and the military. Winners receive their
                       awards at a gala event that serves as the climax of
                       the annual GMiS conference.


                       A few weeks ago I received an email announcing that
                       the 2022 GMIS conference will take place in October
                       in Pasadena. A few days later a childhood friend
                       sent me an article about the great Afro-Cuban
                       singer Celia Cruz, whose music I’ve been listening
                       to since growing up in Havana and who like me left
                       Cuba in 1960. It reminded me that when we were
                       asked to pick the walk-in music we wanted played as
                       we approached the podium to receive our award and
                       give our acceptance speech, I picked a song by
                       Celia Cruz. Finally, earlier this year I signed up
                       to 23andMe which confirmed that my DNA is 99.7%
                       Ashkenazi Jewish, not surprising given my parents
                       background.


          o § Hardware⠀➾


                # ⚓ Hackaday ☛ Tiny_Arcade_Uses_Tiny_CRT⠀⇛


                       Restoring vintage electronics is a difficult hobby
                       to tackle. Even the most practical builds often
                       have to use some form of modern technology to work
                       properly, or many different versions of the machine
                       need to be disassembled to get a single working
                       version. Either way, in the end someone will be
                       deeply hurt by the destruction of anything antique,
                       except perhaps with [Marco]’s recent tiny arcade
                       with a unique CRT display.


                # ⚓ Hackaday ☛ Hackaday_Prize_2022:_Repairing_A_Vintage_Laptop
                  With_Modern_Components⠀⇛


                       Laptop computers may be ubiquitous today, but there
                       was a time when they were the exclusive preserve of
                       rich businesspeople. Back in the early ’90s, the
                       significant added cost of portability was something
                       that few were willing to pay. As a result, not many
                       laptops from those days survive; for those that do,
                       keeping them running can be quite a challenge due
                       to their compact construction and use of non-
                       standard components.


          o § Health/Nutrition/Agriculture⠀➾


                # ⚓ Salon ☛ Depression_may_not_stem_from_a_“chemical_imbalance”
                  after_all_—_suggesting_the_problem_is_social⠀⇛


                       Now, a new study has undermined the aforementioned
                       “serotonin hypothesis” — namely that, as the
                       American Psychiatric Association puts it,
                       “differences in certain chemicals in the brain may
                       contribute to symptoms of depression.” That
                       hypothesis motivated the pharmaceutical industry’s
                       drug formulations, and indeed, underpins the
                       chemistry of their anti-depressant drugs
                       (particularly SSRIs, or selective serotonin-
                       reuptake inhibitors), which were marketed to
                       correct said imbalance. Neurologically speaking,
                       these kinds of drugs perpetuate the presence of
                       serotonin, a neurotransmitter with a wide variety
                       of functions, in the brain; specifically, a
                       “reuptake inhibitor” prevents the serotonin from
                       being reabsorbed as quickly as it might naturally,
                       meaning more of it circulates for longer.


                # ⚓ TruthOut ☛ US’s_Reactive_Polio_Strategy_Could_Be_Silently
                  Putting_Many_at_Risk⠀⇛


                # ⚓ Counter Punch ☛ Traditional_Medicine_in_the_Modern_World⠀⇛


                       Of the over 476 million indigenous people in the
                       world today; an estimated 42 million live in the
                       Americas. They represent thousands of different
                       cultures and ethnic groups whose survival is due,
                       in part, to the efficacy of their traditional
                       health practices.


                       Indigenous peoples in this region have, over
                       several centuries, developed a complex series of
                       practices as well as an understanding of the human
                       body. During several trips to the region, I was
                       able to see the use of traditional medicine among
                       the population of the Andean countries.


                # ⚓ TruthOut ☛ CDC_Confirms_Massive_Racial_Disparities_in
                  Overdose_Deaths⠀⇛


                # ⚓ Common Dreams ☛ Opinion_|_Asbestos_Has_Been_a_Problem_for
                  Decades_—_Will_This_Congress_Do_Something?⠀⇛


                       For decades we have known there is no safe level of
                       exposure to asbestos.


          o § Proprietary⠀➾


                # ⚓ MakeTech Easier ☛ New_ChromeOS_Productivity_Features_Help
                  Chromebook_Compete⠀⇛


                       The tech world has become obsessed with
                       productivity – it’s quite the buzzword. Google is
                       joining the trend with new ChromeOS features,
                       including quite a few that will lead to greater
                       productivity. Many video-editing features are being
                       added as well.


                # ⚓ The Hill ☛ US,_Ukraine_sign_pact_to_expand_cooperation_in
                  cyberspace [iophk: Windows TCO]⠀⇛


                       CISA signed a memorandum of cooperation with the
                       Ukrainian State Service of Special Communications
                       and Information Protection of Ukraine (SSSCIP) amid
                       the eastern European country’s ongoing war with
                       Russia, an aggressor in the digital realm that has
                       attacked both Ukrainian and American cyber networks
                       and infrastructure in the past.


                       The cooperation pact bolsters information sharing
                       on cyber incidents and creates pathways between the
                       two agencies to share key data on critical
                       infrastructure. It also authorizes joint exercises
                       and training sessions between the two agencies.


                # ⚓ IT Wire ☛ Ransomware_attacks_enabled_by_malicious_insiders
                  warns_Gigamon [iophk: Windows TCO]⠀⇛


                       Nearly one-third of organisations have suffered a
                       ransomware attack enabled by a malicious insider, a
                       threat seen as commonly as the accidental insider
                       (35%), according to a new report from cloud
                       visibility and analytics company Gigamon.


                # ⚓ Broadband Breakfast ☛ Government_Should_Incentivize
                  Information_Sharing_for_Ransomware_Attacks,_Experts_Say
                  [iophk: Windows TCO]⠀⇛


                       The Cyber Incident Reporting for Critical
                       Infrastructure Act passed in March does not cover
                       private companies who do not operate in the
                       critical infrastructure sectors and does not
                       include safe harbor and shield laws that would
                       encourage private companies to engage in the
                       process.


                       Oftentimes, companies will avoid interacting with
                       law enforcement to avoid the stigma associated with
                       being a victim of a cyberattack and out of fear of
                       being held liable by regulators and investors, said
                       Trent Teyema, senior fellow at technology policy
                       university collaborative GeoTech Center.


                # ⚓ Kaspersky ☛ CosmicStrand:_a_UEFI_rootkit⠀⇛


                       Since UEFI firmware is embedded in a chip on the
                       motherboard and not written to the hard drive, it
                       is immune to any hard drive manipulations.
                       Therefore, it is very difficult to get rid of UEFI-
                       based malware: even wiping the drive and
                       reinstalling the operating system will not touch
                       UEFI. For this same reason, not all security
                       solutions can detect malware hidden in UEFI. Simply
                       put, once malware has made its way into the
                       firmware, it is there to stay.


                # ⚓ Security Week ☛ Chinese_UEFI_Rootkit_Found_on_Gigabyte_and
                  Asus_Motherboards⠀⇛


                       Security researchers with Kaspersky have analyzed a
                       UEFI firmware rootkit that appears to target
                       specific motherboard models from Gigabyte and Asus.


                # ⚓ Kapersky ☛ CosmicStrand:_the_discovery_of_a_sophisticated
                  UEFI_firmware_rootkit⠀⇛


                       Rootkits are malware implants which burrow
                       themselves in the deepest corners of the operating
                       system. Although on paper they may seem attractive
                       to attackers, creating them poses significant
                       technical challenges and the slightest programming
                       error has the potential to completely crash the
                       victim machine. In our APT predictions for 2022, we
                       noted that despite these risks, we expected more
                       attackers to reach the sophistication level
                       required to develop such tools. One of the main
                       draws towards malware nested in such low levels of
                       the operating system is that it is extremely
                       difficult to detect and, in the case of firmware
                       rootkits, will ensure a computer remains in an
                       infected state even if the operating system is
                       reinstalled or the user replaces the machine’s hard
                       drive entirely.


                       In this report, we present a UEFI firmware rootkit
                       that we called CosmicStrand and attribute to an
                       unknown Chinese-speaking threat actor. One of our
                       industry partners, Qihoo360, published a blog post
                       about an early variant of this malware family in
                       2017.


                # ⚓ Duo ☛ Jul_25,_2022_New_CosmicStrand_UEFI_Rootkit_Variant
                  Found_By_Dennis_Fisher⠀⇛


                       Earlier this year, Kasperksy identified anoother
                       UEFI rootkit called MoonBounce that was used
                       against one known victim.


                # ⚓ Bruce Schneier ☛ New_UFEI_Rootkit⠀⇛


                       Both links have lots of technical details; the
                       second contains a list of previously discovered
                       UFEI rootkits. Also relevant are the NSA’s
                       capabilities—now a decade old—in this area.


                # ⚓ Discovery_of_new_UEFI_rootkit_exposes_an_ugly_truth:_The
                  attacks_are_invisible_to_us⠀⇛


                       Researchers have unpacked a major cybersecurity
                       find—a malicious UEFI-based rootkit used in the
                       wild since 2016 to ensure computers remained
                       infected even if an operating system is reinstalled
                       or a hard drive is completely replaced.


                       The firmware compromises the UEFI, the low-level
                       and highly opaque chain of firmware required to
                       boot up nearly every modern computer. As the
                       software that bridges a PC’s device firmware with
                       its operating system, the UEFI—short for Unified
                       Extensible Firmware Interface—is an OS in its own
                       right. It’s located in an SPI-connected flash
                       storage chip soldered onto the computer
                       motherboard, making it difficult to inspect or
                       patch the code. Because it’s the first thing to run
                       when a computer is turned on, it influences the OS,
                       security apps, and all other software that follows.


          o § Security⠀➾


                # § Privacy/Surveillance⠀➾


                      # ⚓ The Verge ☛ Gmail’s_new_look_is_now_rolling_out_to
                        everyone⠀⇛


                             The changes are a part of Google’s overall
                             new approach to the Workspace suite
                             (including Docs, Sheets, etc.) that’s
                             supposed to provide a more unified style and
                             new AI-powered features like the Gmail search
                             improvements that were just announced.


                      # ⚓ India Times ☛ Ireland_to_appoint_new_commissioners_to
                        data_privacy_regulator⠀⇛


                             The Irish government on Wednesday said it
                             will appoint two additional commissioners to
                             Ireland’s Data Protection Commission, lead
                             regulator in Europe for tech giants Alphabet
                             Inc’s Google, Meta Platforms unit Facebook,
                             Apple Inc, Microsoft Corp and Twitter Inc).


                             Minister for Justice Helen McEntee said the
                             appointments will support existing
                             commissioner Helen Dixon and improve the
                             commission’s ability to handle an increased
                             workload and increasingly complex
                             investigative requirements.


                             Ireland regulates a number of large U.S.
                             internet giants because their European Union
                             headquarters are in the country, but its DPC
                             has been criticised for long, plodding
                             investigations into big tech multinationals.
                             Pressure has been building for a pan-European
                             approach to data and privacy protection.


                      # ⚓ Techdirt ☛ University_Of_Chicago_Researchers_Think
                        They’ve_Built_A_Better_Pre-Crime_Mousetrap⠀⇛


                             Here are just two of the many things the
                             Securities and Exchange Commission forbids
                             investment companies from putting in their
                             marketing literature:


                      # ⚓ Site36 ☛ Following_airplanes_and_drones:_Frontex
                        wants_helicopters_for_border_surveillance⠀⇛


                             The EU border agency wants to repeat a failed
                             tender to procure rotary-wing aircraft. These
                             could be used in areas where there is a lack
                             of runways. The scenarios fit a Greek border
                             river where many dead bodies wash up.


                      # ⚓ Techdirt ☛ Two_GCHQ_Employees_Suggest_The_Solution_To
                        CSAM_Distribution_Is…_More_Client-Side_Scanning⠀⇛


                             The font of not-great ideas continues to
                             overflow at Lawfare. To be fair, this often-
                             overflowing font is due to its contributors,
                             which are current and former members of spy
                             agencies that have violated rights, broken
                             laws, and otherwise done what they can to
                             make internet communications less secure.


                      # ⚓ Common Dreams ☛ ‘Critical’_Online_Privacy_Protections
                        for_Children_Advance_to_Senate_Floor_Vote⠀⇛


                             A key U.S. Senate panel on Wednesday took
                             what one leading child advocate called “an
                             important step toward creating a safer and
                             less exploitative internet for children and
                             teens.”


                             “We are hopeful that lawmakers are ready to
                             do what’s needed to protect young people from
                             the unacceptable risks they face online every
                             day in this country.”


                      # ⚓ Techdirt ☛ T-Mobile_Strikes_$500_Million_Settlement
                        For_Continued_Sloppy_Data_Practices⠀⇛


                             T-Mobile hasn’t been what you’d call
                             competent when it comes to protecting its
                             customers’ data. The company has
                             been hacked several different times over the
                             last few years, with hackers going so far as
                             to ridicule the company’s lousy security
                             practices.


          o § Defence/Aggression⠀➾


                # ⚓ Meduza ☛ ‘He_was_shot_by_his_own’:_A_Russian_soldier_was
                  killed_by_friendly_fire._Pro-Kremlin_media_covered_up_his
                  identity_and_blamed_Ukrainian_forces_for_his_death._—
                  Meduza⠀⇛


                       In the early days of the February invasion, pro-
                       Kremlin Russian news outlets shared a story about a
                       Russian soldier who had sacrificed himself to save
                       a young woman in Kharkiv. The woman, the reports
                       alleged, took cover along with her mother and the
                       “unknown soldier” after being fired upon by
                       Ukrainian troops. However, both the woman, 29-year-
                       old Karolina Perlifon, and another Russian soldier
                       who survived the attack said it was Russian troops
                       who opened fire on the civilians and their
                       comrades-in-arms. Though pro-Kremlin propagandists
                       never revealed the name of the soldier who was
                       killed, journalists from the independent Russian
                       media project Verstka managed to uncover his story.
                       With permission, Meduza published the investigation
                       in Russian, with minor edits. The following
                       translation has been further edited and abridged
                       for length and clarity. 


                # ⚓ Counter Punch ☛ Remember_When_it_Wasn’t_Normal_to_Punch
                  Flight_Attendants?⠀⇛


                       This is an important statement in any society, but
                       especially for our democracy.


                       Unfortunately, far too few of our leaders – or even
                       our neighbors – are making statements like this. As
                       a result, we’re normalizing the use of violence
                       more and more.


                # ⚓ TruthOut ☛ Trump_Calls_for_the_Execution_of_Drug_Dealers_in
                  DC_Rally_Speech⠀⇛


                # ⚓ Common Dreams ☛ House_Hearing_Exposes_Gun_Industry’s
                  Profiting_‘Off_the_Blood_of_Innocent_Americans’⠀⇛


                       Firearm companies have raked in over $1 billion
                       from selling AR-15-style rifles over the past
                       decade, a U.S. congressional committee revealed in
                       a report ahead of a Wednesday hearing, prompting
                       calls from Democratic lawmakers and gun control
                       advocates for a renewed assault weapons ban.


                       “The business practices of these gun manufacturers
                       are deeply disturbing, exploitative, and reckless.”


                # ⚓ TruthOut ☛ Report:_Cassidy_Hutchinson_Is_Cooperating_With
                  the_DOJ’s_Jan._6_Trump_Inquiry⠀⇛


                # ⚓ TruthOut ☛ Merrick_Garland’s_January_6_Investigation
                  Appears_to_Be_Zeroing_In_on_Trump⠀⇛


                # ⚓ The Nation ☛ Trump_Is_A_Criminal._Pence_Is_A_Coward.⠀⇛


                       It had to happen: Because of the January 6 select
                       committee’s disciplined, scripted, riveting rollout
                       of evidence that twice-impeached Donald Trump
                       schemed to overturn the results of the 2020
                       election, the media now talks about it like it’s a
                       hot new reality-TV show. Last Thursday’s tick-tock
                       of the 187 minutes of violence at the capitol,
                       during which Trump either did nothing or egged on
                       the crowd, wasn’t the “series finale,” we’re told,
                       but a “season finale” designed to keep us tuning in
                       to this hit show when it returns in the fall.


                # ⚓ Common Dreams ☛ ‘This_Is_Big_News’:_DOJ_Investigating_Trump
                  in_Criminal_Probe_of_Jan._6_Attack⠀⇛


                       The U.S. Department of Justice is directly
                       investigating Donald Trump’s actions as part of a
                       criminal probe into the January 6 attack on the
                       Capitol, news welcomed by lawmakers and watchdogs
                       who have accused the DOJ of dragging its feet
                       despite having a strong case for prosecuting the
                       former president.


                       The Washington Post reported late Tuesday that
                       “prosecutors who are questioning witnesses before a
                       grand jury—including two top aides to Vice
                       President Mike Pence—have asked in recent days
                       about conversations with Trump, his lawyers, and
                       others in his inner circle who sought to substitute
                       Trump allies for certified electors from some
                       states Joe Biden won.”


                # ⚓ Common Dreams ☛ Sanders_Warns_That_‘Like_Trump,_Bolsonaro
                  Is_Attempting_to_Undermine_Democracy_in_Brazil’⠀⇛


                       U.S. Sen. Bernie Sanders warned after meeting with
                       Brazilian civil society leaders on Tuesday that the
                       Latin American country’s far-right leader,
                       President Jair Bolsonaro, appears poised to
                       replicate Donald Trump’s attempt to subvert the
                       democratic process in a bid to stay in power as he
                       trails in the polls to leftist Luiz Inácio Lula da
                       Silva.


                       “Like Trump, Bolsonaro is attempting to undermine
                       democracy in Brazil, the largest country in Latin
                       America,” Sanders (I-Vt.) told the Washington
                       Post’s Ishaan Tharoor. “It is important that the
                       Biden administration and the U.S. Congress stand
                       for democracy and support the results of the
                       upcoming election. The enemies of democracy are
                       working together across borders, and supporters of
                       democracy must do the same.”


          o § Transparency/Investigative Reporting⠀➾


                # ⚓ Meduza ☛ Russia’s_open-data_regression_Freedom_of
                  information_rights_arrived_late_in_Russia._In_the_decade
                  since_Putin_returned_to_office,_they’ve_deteriorated._—
                  Meduza⠀⇛


                       According to estimates from the project To Be
                       Exact, at least 10 Russian government agencies have
                       removed data from open sources since the war began.
                       Retrieving a record from the Unified State Register
                       of Real Estate now requires permission from the
                       property owner, and Russia’s Finance Ministry plans
                       to allow over 1,300 companies not to publish any
                       information about themselves in the public domain —
                       “to counter sanctions,” according to officials.
                       Since 2012, the Moscow-based nonprofit Information
                       Culture has been one of the main organizations
                       advocating for information transparency in Russia.
                       Its director and cofounder, Ivan Begtin, told
                       Meduza about the decline of open data policies in
                       Russia.


          o § Environment⠀➾


                # ⚓ The Nation ☛ Republicans_Shouldn’t_Get_a_Pass_on_Climate⠀⇛


                       Manchin deserves all this condemnation and more,
                       but it is bizarre that his Republican counterparts
                       haven’t faced this intensity of criticism, even
                       though they are at least as culpable. Search the
                       news stories and public statements cited above, and
                       countless others from the same time frame, and
                       you’ll find that Republicans’ role in blocking
                       Build Back Better is rarely even mentioned—and
                       certainly not identified as the principal reason
                       climate legislation routinely dies on Capitol Hill.


                       Manchin is only one senator. His opposition to
                       Build Back Better mattered only because all 50
                       Republican senators stood in lockstep against
                       climate action, just as their party has done for 30
                       years.


                       And yet, today’s Republicans pay no political price
                       for torching the planet. In a democracy, elected
                       officials are free to vote for or against whatever
                       they please, but that doesn’t mean they shouldn’t
                       be held accountable for their choices. But most
                       political observers, journalists, and even
                       political adversaries simply accept the GOP’s
                       climate obstructionism as an immutable fact of
                       life, not worth calling out or wasting energy on.


                # ⚓ Common Dreams ☛ ‘What_The_Hell_Are_We_Waiting_For?’
                  Democrats_Urge_Climate_Emergency_Declaration⠀⇛


                       Progressive leaders in Congress and activists on
                       Wednesday came together to call on U.S. President
                       Joe Biden to declare a climate emergency, which
                       would give his administration more resources to
                       take on the global crisis.


                       “It couldn’t be clearer that the climate crisis is
                       here and needs to be addressed urgently,” said
                       Congressional Progressive Caucus (CPC) Chair
                       Pramila Jayapal (D-Wash.), who kicked off the event
                       a day her district endured extreme heat.


                # ⚓ Pro Publica ☛ Barbados_Resists_Climate_Colonialism_in_an
                  Effort_to_Survive_the_Costs_of_Global_Warming⠀⇛


                       Late on May 31, 2018, five days after she was sworn
                       in as prime minister of Barbados, Mia Mottley and
                       her top advisers gathered in the windowless
                       anteroom of her administrative office in
                       Bridgetown, the capital, for a call that could
                       determine the fate of her island nation. The group
                       settled into uncomfortable straight-backed chairs
                       around a small mahogany table, staring at framed
                       posters of Barbados’ windmills and sugar cane
                       fields. Mottley, who was then 52, can appear
                       mischievous in the moments before her bluntest
                       declarations, but on this evening her steely side
                       showed. She placed her personal cellphone on
                       speaker and dialed a number in Washington for the
                       International Monetary Fund. As arranged, Christine
                       Lagarde, the managing director, answered.


                # § Energy⠀➾


                      # ⚓ The Nation ☛ Down_With_Petroleum_Tyranny—or_We_Can
                        Expect_the_Worst⠀⇛


                             Now consider this: In 2020, oil accounted for
                             more global energy consumption than any other
                             source—approximately 30 percent—and the EIA
                             projects that, on our present course, it will
                             remain the world’s number-one source of
                             energy, possibly until as late as 2050.
                             Because it’s such a carbon-intensive fuel
                             (though less so than coal), oil was
                             responsible for 34 percent of global carbon
                             emissions in 2020 and that share is projected
                             to rise to 37 percent by 2040. At that point,
                             oil combustion will be responsible for the
                             release of 14.7 million metric tons of heat-
                             trapping GHGs into the atmosphere, ensuring
                             even higher average world temperatures.


                             With CO2 emissions from oil use continuing to
                             rise, there’s zero chance of staying within
                             that 1.5 degrees Celsius limit or of
                             preventing the catastrophic warming of this
                             planet, with all it portends. Think of it
                             this way: The stunning heat waves experienced
                             so far this year from China to India, Europe
                             to the Horn of Africa, and this country to
                             Brazil are only a mild foretaste of our
                             future.


                      # ⚓ Eesti Rahvusringhääling ☛ Economist:_Estonia’s
                        electricity_price_increase_inexplicably_large⠀⇛


                             Recent figures indicate that Estonia saw the
                             fastest spike in electricity prices in the EU
                             last month, but the historical relationship
                             of prices paid by Estonian consumers to
                             prices on the Nord Pool exchange indicate
                             that the increase in electricity prices in
                             Estonia is nonetheless inexplicably large,
                             Bank of Estonia economist Kaspar Oja said
                             Wednesday.


                      # ⚓ Common Dreams ☛ Opinion_|_Will_Civilization_Collapse
                        Because_It’s_Running_Out_of_Oil?⠀⇛


                             Will civilization collapse because it’s
                             running out of oil? That question was debated
                             hotly almost 20 years ago; today, not so
                             much. Judging by Google searches, interest in
                             “peak oil” surged around 2003 (the year my
                             book The Party’s Over was published), peaked
                             around 2005, and drifted until around 2010
                             before dropping off dramatically.


                      # ⚓ Counter Punch ☛ The_Enduring_Tyranny_of_Oil⠀⇛


                             For some perspective on this, recall that, in
                             those pre-fracking days at the start of the
                             century, many experts were convinced that
                             world petroleum output would hit a daily peak
                             of perhaps 90 million barrels in 2010,
                             dropping to 70 or 80 million barrels by the
                             end of that decade. In other words, we would
                             have little choice but to begin converting
                             our transportation systems to electricity,
                             pronto. That would have caused a lot of
                             disruption at first, but by now we would be
                             well on our way to a green-energy future,
                             with far less carbon emissions and a slowing
                             pace of global warming.


                             Now, compare those hopeful scenarios to the
                             latest data from the U.S. Energy Information
                             Administration (EIA). At the moment, world
                             oil production is hoveringat around 100
                             million barrels daily and is projected to
                             reach 109 million barrels by 2030, 117
                             million by 2040, and a jaw-dropping 126
                             million by 2050. So much, in other words, for
                             “peak oil” and a swift transition to green
                             energy.


                      # ⚓ Counter Punch ☛ Why_Coal_Power_is_Dying_and_the
                        Supreme_Court_Can’t_Save_It⠀⇛


                             But while some specific threats to the
                             industry have subsided, that doesn’t mean
                             coal-fired power plants will make a comeback.


                             As an economist, I analyze the coal industry,
                             including power plant construction and
                             retirement plans. I see three main reasons
                             U.S. coal plants will continue to close down.


                      # ⚓ Hackaday ☛ Probing_CAN_Bus_For_EV_Battery_Info⠀⇛


                             The widespread adoption of the CAN bus (and
                             OBD-II) in automobiles was largely a way of
                             standardizing the maintenance of increasingly
                             complicated engines and their needs to meet
                             modern emissions standards. While that might
                             sound a little dry on the surface, the
                             existence and standardization of this
                             communications bus in essentially all
                             passenger vehicles for three decades has led
                             to some interesting side effects, like it’s
                             usage in this project to display some extra
                             information about an electric car’s battery.


                      # ⚓ DeSmog ☛ Tory-Linked_Climate_Denial_Group’s_New
                        Advisor_Called_Environmentalism_‘Satan’s_Trick’⠀⇛


                             A charity with ties to senior Conservative
                             MPs has appointed a professor who said
                             protecting the environment was an “innovation
                             of the Devil” and has dismissed the science
                             of human-caused climate change.


                             Samuele Furfari, a former EU energy advisor,
                             this month joined the “academic advisory
                             council” of the Global Warming Policy
                             Foundation (GWPF) – the UK’s main climate
                             science denial group, which has ties to
                             several of the politicians who ran to replace
                             Prime Minister Boris Johnson. 


                      # ⚓ Common Dreams ☛ Biden’s_New_Low-Income_Solar_Power
                        Program_Hailed_as_‘Vital’_for_People_and_Planet⠀⇛


                             The Biden administration on Wednesday
                             announced a new initiative to bring solar
                             power to low-income families across the U.S.


                             “Deploying community solar is a vital move to
                             protect both our climate and the millions of
                             households most vulnerable to utility
                             shutoffs and dirty energy price spikes.”


                # § Wildlife/Nature⠀➾


                      # ⚓ Mexico News Daily ☛ Communal_landowners_refute_claim
                        that_monarch_butterflies_are_endangered⠀⇛


                             But residents of El Rosario, who are paid by
                             the government to protect the monarchs’
                             overwintering ground, refute that claim.
                             Instead, they insist that problems
                             threatening the butterflies exist along the
                             insects’ migratory routes in the United
                             States and Canada, a factor that was included
                             in the announcement from IUCN. However, IUCN
                             did also mention in that press release that
                             legal and illegal logging has already
                             destroyed “substantial areas” of the
                             butterflies’ winter shelter in Mexico and
                             California.


                      # ⚓ BBC ☛ Climate_change_killing_elephants,_says_Kenya⠀⇛


                             Kenya’s Wildlife and Tourism ministry says
                             that climate change is now a bigger threat to
                             elephant conservation than poaching.


                      # ⚓ The Revelator ☛ How_Outdoor_Enthusiasts_Can_Help
                        Scientific_Research_About_Climate_and_Wildlife⠀⇛


                      # ⚓ Counter Punch ☛ One_Major_Way_We_Can_Reduce_the
                        Suffering_of_Animals_Raised_for_Food⠀⇛


                             This method “requires farmers to cut off
                             airflow and heat their barns to 104 degrees
                             Fahrenheit until the animals die from
                             heatstroke,” states an article in Sentient
                             Media. The “plus” means that, in addition to
                             shutting down the ventilation system during
                             VSD+, the barns are also exposed to extreme
                             heat, humidity, and carbon dioxide (CO2) to
                             suffocate the animals and bake them alive.


                             Highly pathogenic avian influenza is a
                             recurring phenomenon in the poultry and egg
                             industries. The current outbreak in the U.S.,
                             which began in February, has antecedents in
                             2015, 2006, and 2003. Low pathogenic avian
                             flu outbreaks in chicken and turkey flocks
                             are routine events involving the mass culling
                             of millions of birds.


                # § Overpopulation⠀➾


                      # ⚓ RTL ☛ Alarm_as_Earth_hits_‘Overshoot_Day’_Thursday⠀⇛


                             It would take 1.75 Earths to provide for the
                             world’s population in a sustainable way,
                             according to the measure, which was created
                             by researchers in the early 1990s.


                             Global Footprint Network said Earth Overshoot
                             Day has fallen ever sooner over the last 50
                             years.


                      # ⚓ Frontpage Magazine ☛ Pakistan’s_Minister_of_Health:
                        Populate_the_World_with_Muslims⠀⇛


                             A report on the Pakistani Health Minister’s
                             plan is here: “An ‘out of Pakistan’ solution
                             for population control—produce kids in non-
                             Muslim nations,” by Akansha Sengupta, The
                             Print, July 20, 2022: [...]


                      # ⚓ The Print ☛ An_‘out_of_Pakistan’_solution_for
                        population_control—produce_kids_in_non-Muslim_nations⠀⇛


                             Minister of Health and PPP member Abdul Qadir
                             Patel Monday offered an ‘out of Pakistan’
                             solution to the population problem—couples
                             wanting more kids should leave the country
                             and add to the Muslim population in nations
                             where they are in minority.


                      # ⚓ TruthOut ☛ Hundreds_of_Thousands_of_Incarcerated
                        People_Are_in_Danger_Amid_Scorching_Heat⠀⇛


          o § Finance⠀➾


                # ⚓ Counter Punch ☛ How_the_Treasury_Department_Could_Prevent
                  Mass_Starvation_with_No_Cost_to_the_Taxpayers⠀⇛


                # ⚓ Counter Punch ☛ Michael_Hudson_–_The_Destiny_of
                  Civilization:_Finance_Capitalism,_Industrial_Capitalism_or
                  Socialism⠀⇛


                # ⚓ Telex (Hungary) ☛ I_left_the_last_two_apartments_in_tears⠀⇛


                       Even having a steady job and savings are irrelevant
                       for someone if they are gypsy: when it comes to
                       looking for a place to rent, they have such a
                       disadvantage from the outset that they need much
                       more perseverance and resilience than average in
                       order to succeed. It is against the law to exclude
                       someone from the pool of potential tenants solely
                       on the basis of the color of their skin, but these
                       are not situations where the law is easily
                       enforced. The Equal Treatment Authority has been
                       shut down, and the ombudsman receives one or two
                       complaints a year.


                # ⚓ Common Dreams ☛ Progressives_Slam_Senate_Passage_of_$76
                  Billion_‘Corporate_Giveaway’⠀⇛


                       The U.S. Senate on Wednesday passed sweeping
                       bipartisan legislation that Sen. Bernie Sanders and
                       progressive advocacy groups decried as a massive
                       giveaway to corporations such as Intel, whose CEO
                       has been lobbying aggressively in support of the
                       bill’s subsidies for the profitable microchip
                       industry.


                       “Congress should be ashamed to pass this corporate
                       giveaway after a year of complete failure to do
                       anything whatsoever for needy American families.”


                # ⚓ Common Dreams ☛ Opinion_|_Inflation_Is_Not_an_Excuse_to
                  Withhold_Support_for_Needed_Tax_Reforms_and_Investments⠀⇛


                       In recent months, a number of policymakers have
                       cited inflation concerns as the source of their
                       opposition to budget reconciliation proposals that
                       would raise taxes progressively and boost federal
                       spending on public investments and social
                       insurance. (Many of these proposals were once
                       collected together and named the Build Back Better
                       Act (BBBA), but since negotiations over the full
                       BBBA faltered there has been no single name for the
                       shifting permutations of tax and spending changes
                       that are under debate.)


                # ⚓ Common Dreams ☛ Opinion_|_The_Corporate_Narrative_on
                  Inflation_Is_Bogus⠀⇛


                       Republicans believe their laser focus on inflation
                       in the midterms will override voter anger over the
                       attempted coup, four years of Trumpism, multiple
                       regressive Supreme Court rulings especially on
                       reproductive rights, school shootings and other
                       mass shootings, and GOP state attacks on voting,
                       public education, and LGBTQ+ rights. But only if
                       we, and the Democratic Party leadership, let them
                       get away with it.


                # ⚓ Common Dreams ☛ Opinion_|_Myths_and_Reality_as_US_Oligarchs
                  Devour_Economy⠀⇛


                       Oligarchs of the dominate economic class in the
                       United States continue to pour billions of dollars
                       into the pockets of politicians. The drift towards
                       oligarchy was propelled in 1976 with the Supreme
                       Court’s Buckley v. Valeo decision. It continued in
                       1978 with the Bellotti v. Bank of Boston decision
                       and culminated with the dreadful Citizens United v.
                       FEC decision in 2010. Politicians were deemed
                       legally for sale to the highest bidder.


                # ⚓ Common Dreams ☛ Schumer_Pushed_to_Stop_Defending_‘Greedy
                  Monopolies’_and_Hold_Votes_on_Big_Tech_Bills⠀⇛


                       In the streets of the nation’s capital and on its
                       cable television networks, progressives are
                       demanding that Senate Majority Leader Chuck Schumer
                       immediately schedule votes on a pair of antitrust
                       bills designed to rein in Big Tech’s growing
                       power—something he promised to do by “early
                       summer.”


                       “Schumer has a choice: Side with greedy monopolies
                       or the American people.”


                # ⚓ Democracy Now ☛ Richard_Wolff:_Fed_Rate_Hikes_Are_“Body
                  Blow”_to_Workers_Reeling_from_Pandemic,_Growing_Inequality⠀⇛


                       We speak with Marxist economist Richard Wolff about
                       how experts forecast another economic recession in
                       the United States, with inflation at a historic
                       high and a federal minimum wage that hasn’t changed
                       for 13 years. The Federal Reserve plan to combat
                       rising inflation by raising interest rates delivers
                       a “body blow to a working class” already suffering
                       from decades of upward wealth redistribution and a
                       pandemic, says Wolff, emeritus professor of
                       economics at University of Massachusetts Amherst
                       and visiting professor at The New School. His
                       latest book is “The Sickness Is the System: When
                       Capitalism Fails to Save Us from Pandemics or
                       Itself.”


                # ⚓ Democracy Now ☛ Economist_Jayati_Ghosh:_Global_Debt_Crisis
                  Is_Perfect_Storm_of_Unrest,_Economic_Disaster,_Starvation⠀⇛


                       We look at the looming possibility of a global
                       recession amid rising inflation, the pandemic and
                       the Russian war in Ukraine. World financial
                       institutions and wealthier countries should take
                       stronger actions such as writing off debts that are
                       crippling developing nations, says Jayati Ghosh,
                       economics professor at the University of
                       Massachusetts Amherst. “This is just completely
                       lack of political will. It’s not because we don’t
                       know what to do.” Her piece in The Guardian is
                       headlined “There is a global debt crisis coming —
                       and it won’t stop at Sri Lanka,” and she also
                       discusses other countries on the brink of an
                       economic collapse, including Pakistan, Nepal,
                       Nigeria, Ethiopia, Panama and Argentina.


                # ⚓ Scheerpost ☛ Ellen_Brown:_Interest_Rate_Hikes_Will_Not_Save
                  Us_From_Inflation⠀⇛


                       Ellen Brown argues that tather than making money
                       harder to get, the U.S. government needs to focus
                       on the other side of the demand vs. supply
                       inflation equation.


                # ⚓ Common Dreams ☛ With_Latest_Rate_Hike,_Progressive_Critics
                  Say_Fed_‘Making_a_Big_Mistake’⠀⇛


                       The U.S. Federal Reserve is on the verge of causing
                       a disastrous surge in unemployment, progressives
                       said Wednesday after the nation’s central bank
                       raised interest rates for the second consecutive
                       month—doubling down on its dogmatic quest to reduce
                       prices even as slowing wage growth offers more
                       evidence that inflation is being driven by
                       corporate profiteering and supply chain issues
                       rather than excess demand.


                       “Our country’s lowest-paid, most vulnerable workers
                       have endured too much already to be sacrificed in
                       pursuit of severe rate hikes.”


                # ⚓ Common Dreams ☛ ‘Racism—Pure_and_Simple’:_Buffett_Lender
                  Redlined_Philly-Area_Homebuyers,_Says_DOJ⠀⇛


                       The U.S. Justice Department announced Wednesday
                       that a mortgage company owned by billionaire
                       businessman Warren Buffett engaged in an illegal
                       “pattern or practice of lending discrimination” by
                       “redlining” in the Philadelphia area, and will pay
                       $20 million in a settlement agreement.


                       “The complaint also alleges that Trident’s
                       employees exchanged emails where they referred to
                       neighborhoods of color as ‘ghettos’ and made racist
                       jokes.”


                # ⚓ TruthOut ☛ Fed_Rate_Hikes_Are_“Body_Blow”_to_Workers
                  Reeling_From_Pandemic⠀⇛


          o § AstroTurf/Lobbying/Politics⠀➾


                # ⚓ The Verge ☛ Microsoft_says_it_caught_an_Austrian_spyware
                  group_using_previously_unknown_Windows_exploits [iophk:
                  Windows TCO]⠀⇛


                       The new information about Microsoft’s tracking and
                       mitigation of DSIRF / KNOTWEED’s exploits was
                       published at the same time as a written testimony
                       document submitted to the hearing on “Combatting
                       the Threats to U.S. National Security from the
                       Proliferation of Foreign Commercial Spyware,” held
                       July 27th.


                # ⚓ The Hill ☛ Meta_revenue_drops_$28.8_billion_in_second
                  quarter⠀⇛


                       Meta Platforms met expectations but saw its total
                       revenues fall in the second quarter amid a downturn
                       in the economy and increased competition for
                       digital advertisers.


                       Total revenue for Meta was $28.8 billion in the
                       second quarter ending June 30, according to the
                       earnings report released Wednesday, down 1 percent
                       from the second quarter in 2021.


                       The social media and tech company also reported
                       total costs and expenses of $20.4 billion, a 22
                       percent increase year over year.


                # ⚓ [Old] False_Accusations_Against_Linux_Security_Continue⠀⇛


                       When we read articles on the Internet, we need to
                       become more aware that we are literally being
                       bombarded by a nuclear firestorm of lies. These
                       lies are designed to brainwash and manipulate us
                       into supporting multinational corporations that are
                       not at all interested in protecting us. Instead,
                       the writers of these false articles are hired to
                       protect corporations like Microsoft and maximize
                       their quarterly profits by producing a wave of
                       propaganda. We this in mind, let’s first look at
                       the Skidmap Malware claim.


                # ⚓ Computer World ☛ US_Senate_approves_$52_billion_for
                  chipmakers—but_not_designers⠀⇛


                       While $2 billion of the direct assistance funds is
                       already earmarked for legacy programs—specifically,
                       technologies that the Department of Defense wants
                       to produce within the US—the other $50 billion is
                       generally available for the development of
                       additional domestic silicon manufacturing in the
                       country.


                       The big winners, should the CHIPS Act be signed
                       into law, will be companies like Intel, who either
                       already have chip fabrication facilities in the US
                       or are planning to build them—but other chip
                       companies, particularly those that take a lead role
                       in chip design but don’t manufacture products
                       themselves, warn that the bill doesn’t go far
                       enough in helping the US silicon industry.


                # ⚓ Hollywood Reporter ☛ Mark_Zuckerberg:_“Many_Teams_Are_Going
                  to_Shrink”_at_Meta_Amid_Revenue_Decline⠀⇛


                       The company also saw net income fall by 36 percent,
                       landing at $6.7 billion for the second quarter,
                       while total costs and expenses rose by 22 percent
                       to hit $20.5 billion. And as the social media giant
                       faces heated competition from rivals like TikTok,
                       daily active users across Meta’s family of apps
                       were in the low single digits; Meta’s flagship
                       social platform, Facebook, saw a modest 3 percent
                       increase during the second quarter.


                # ⚓ The Verge ☛ Facebook_reports_drop_in_revenue_for_the_first
                  time⠀⇛


                       Zuckerberg said the company had seen “engagement
                       trends” that were “stronger than we anticipated” on
                       Facebook, thanks largely to an increase in the
                       consumption of videos. He said that Reels, the
                       company’s short-form video format aimed at TikTok,
                       is monetizing faster than Stories did after the
                       company copied that format from Snapchat several
                       years ago. In the long run, the company expects
                       Reels to be a revenue driver, but for now the
                       company is prioritizing Reels and not making much
                       money from them.


                # ⚓ TruthOut ☛ Texas_Republican_Seeks_to_Limit_HIV_Medication
                  Access_After_Winning_Abortion_Ban⠀⇛


                # ⚓ Common Dreams ☛ Woman_Targeted_by_Gaetz_Raises_$300K_(and
                  Counting)_for_Abortion_Rights⠀⇛


                       In the less than 72 hours since being publicly
                       ridiculed by right-wing Rep. Matt Gaetz, political
                       strategist and college student Olivia Julianna had
                       raised over $300,000 as of Wednesday for abortion
                       funds that offer direct financial assistance to
                       people who need abortion care.


                       “This is absolutely the most insane amount of
                       donations we have had thus far from individuals,
                       especially in such a short frame of time,” Olivia,
                       who goes by her first and middle names publicly,
                       told The Washington Post Wednesday. “On a broader
                       scale, this highlights the extreme power of social
                       media mobilization, and it shows Republican
                       politicians that their cheap attacks and political
                       theater will no longer be tolerated.”


                # ⚓ Meduza ☛ ‘To_run_away_is_to_humiliate_yourself’:_Former
                  Moscow_lawmaker_Yulia_Galyamina_on_what_it_will_take_to_build
                  a_democratic_Russia_—_Meduza⠀⇛


                       As the war in Ukraine has raged on, the Russian
                       authorities haven’t let up on their quest to stamp
                       out what’s left of the country’s domestic
                       opposition. In just the last month, Moscow
                       municipal deputy Alexey Gorinov has been sentenced
                       to seven years in prison for calling the war in
                       Ukraine a war; Helga Pirogova, a municipal deputy
                       from Novosibirsk, has been forced to leave the
                       country under threat of criminal prosecution, and
                       Moscow opposition figure Ilya Yashin has been sent
                       to jail on criminal charges of spreading “fake
                       news” for speaking truthfully about Russian
                       atrocities against civilians in Bucha. For insight
                       into where Russia’s democratic opposition went
                       wrong — and what it needs to do now — Meduza turned
                       to activist and former Moscow deputy Yulia
                       Galyamina.


                # ⚓ Common Dreams ☛ ‘We’ll_Believe_It_When_We_See_It_Pass,’
                  Skeptics_Say_of_Schumer-Manchin_Deal⠀⇛


                       While Democratic leaders on Wednesday celebrated a
                       surprise budget reconciliation deal with Sen. Joe
                       Manchin on new climate and tax policies,
                       progressive campaigners had a range of responses,
                       from cautious optimism, to skepticism, to outright
                       concern.


                # ⚓ Democracy Now ☛ A_Pelosi_Visit_to_Taiwan_Could_Inflame
                  Tensions_Between_U.S._&_China,_with_Little_Benefit_to
                  Taiwanese⠀⇛


                       China warned that there could be serious
                       consequences, including a military response, if
                       U.S. House Speaker Nancy Pelosi follows through on
                       plans to visit Taiwan in August, according to the
                       Financial Times. If the trip happens, Pelosi would
                       become the most senior U.S. official to visit
                       Taiwan in 25 years. “The question is: Is this
                       signal just intended to really stick it to China
                       very quickly, without actually benefiting Taiwan,
                       or is it something that should be best not done?”
                       says Taiwanese American journalist Brian Hioe.


                # ⚓ Telex (Hungary) ☛ Orbán’s_speech_in_Transylvania_–_a_video
                  summary⠀⇛


                       “The world owes us a debt, and we will make sure to
                       get it from them.” The Prime Minister spoke about
                       war, race, Europe, utility price cuts and his
                       vision of the future in his speech over the
                       weekend. Here’s Telex’s video summary of the main
                       points. (English subtitles available.)


                # ⚓ Common Dreams ☛ CPAC_Welcoming_Orbán_at_Dallas_Summit_Days
                  After_‘Pure_Nazi’_Speech⠀⇛


                       With right-wing officials suggesting there is not
                       yet enough evidence of Hungarian authoritarian
                       Viktor Orbán’s racist views despite his recent
                       speech which has drawn comparisons to Nazi
                       propaganda, the largest annual gathering of
                       conservatives in the U.S. is moving forward with
                       plans to host the prime minister next week.


                       “Let’s listen to the man speak,” Matt Schlapp,
                       chair of the Conservative Political Action
                       Committee (CPAC), said Tuesday, ahead of the
                       group’s summit scheduled to take place in Dallas
                       next week. “We’ll see what he says.”


                # ⚓ Common Dreams ☛ Progressive_Champion_Mandela_Barnes_Emerges
                  as_Dem_to_Take_on_Ron_Johnson_in_Wisconsin⠀⇛


                       The Democratic primary field in the race to unseat
                       Republican U.S. Sen. Ron Johnson of Wisconsin
                       shrank for a second time in less than a week on
                       Wednesday as Milwaukee Bucks executive Alex Lasry
                       announced he would end his campaign, leaving
                       progressive Lt. Gov. Mandela Barnes as the
                       frontrunner.


                       Barnes received key endorsements from Sens. Bernie
                       Sanders (I-Vt.) and Elizabeth Warren (D-Mass.) in
                       recent days, and on Monday fellow progressive
                       candidate Tom Nelson said he was throwing his
                       support behind the lieutenant governor after his
                       campaign ran out of money.


                # ⚓ TruthOut ☛ Democrats_Introduce_Bill_to_Place_18-Year_Term
                  Limits_on_Supreme_Court_Justices⠀⇛


                # ⚓ The Nation ☛ Crisis_in_Haiti,_Again⠀⇛


                # § Misinformation/Disinformation⠀➾


                      # ⚓ The Verge ☛ Facebook_and_Instagram_are_going_to_show
                        even_more_posts_from_accounts_you_don’t_follow⠀⇛


                             The push, which Zuckerberg calls building the
                             “Discovery Engine,” is a radical departure
                             from Facebook and Instagram’s historical
                             focus on showing posts from a user’s social
                             graph, or list of friends. The shift is
                             intended to compete with TikTok’s heavy use
                             of AI to serve up videos regardless of where
                             they come from. That approach has quickly
                             made TikTok one of the most used apps in the
                             world and spawned a whole new creator
                             economy.


          o § Censorship/Free Speech⠀➾


                # ⚓ WSWS ☛ WSWS_readers,_workers_and_students_denounce
                  “disciplining”_of_Dr_Berger_and_SEP_Twitter_lock⠀⇛


                       Dr David Berger, a respected Australian physician
                       and dedicated zero-COVID advocate who is being
                       threatened with deregistration by the Australian
                       Health Practitioner Regulation Agency (AHPRA) over
                       his social media condemnations of the government’s
                       “let it rip” coronavirus policies.


                       The campaign to restore the SEP_Australia’s Twitter
                       account was a success and after nearly a week of
                       being locked out, the account was restored late
                       last night. While Twitter admits the video did not
                       violate any rules, it fails to explain why it
                       censored the SEP or why it took so long to restore
                       the account.


                # ⚓ Frontpage Magazine ☛ Not_Without_My_Daughter:_Could_the
                  film_be_made_today?⠀⇛


                       The film is based on the true story of Betty
                       Mahmoody’s escape from Iran in 1986.


                # ⚓ Morning Star News ☛ Christian_Killed_after_Open-Air_Event
                  in_Uganda⠀⇛


                       Robert Bwenje had accompanied Assistant Pastor
                       Ambrose Mugisha of Elim Pentecostal Church in
                       Nyamiringa village, Kapeke Sub-County, Kiboga
                       District, to an open-air debate about Christianity
                       and Islam in Sirimula village, Kyankwanzi District
                       on July 6.


                       Following the debate, eight Muslims including two
                       women put their faith in Christ, said Pastor
                       Mugisha, 25.


                       “This angered the Muslims, but they could not
                       attack us because we had tight security from the
                       police,” he said.


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


                # ⚓ Counter Punch ☛ The_U.S._Is_“Close_To_Getting_Its_Hands_On
                  Julian_Assange:”_an_Interview_With_John_Pilger⠀⇛


                       It is a dangerous, unpredictable time. Since the
                       Home Secretary signed the extradition order, a
                       provisional appeal has been filed by Julian’s
                       lawyers. ‘Provisional’ is part of the tortuous
                       process of appeal. The lawyers must submit what are
                       known as ‘perfected grounds of appeal’ in the next
                       few weeks, then the US and the Home Secretary file
                       their responses. Only after that does it go to a
                       judge (not sitting in a court) to decide whether or
                       not he will accept it. It may sound meticulous but,
                       having observed it, it looks to me like a finely
                       spun blanket of obfuscation over a profoundly
                       biased system.


                       Until the High Court hearing last year, I believed
                       the country’s senior judges would reject the US
                       appeal and reclaim something of the mythologized
                       notion of British justice if only for the system’s
                       survival, which partly depends on ‘face’ within the
                       arcane reaches of the British establishment. This
                       show of ‘independence’ in support of justice has
                       happened in the past. In Julian’s case, the facts
                       are surely too outrageous — no properly constituted
                       court would even consider it — yet I was wrong. The
                       decision by the Lord Chief Justice of England and
                       Wales last October that the US in effect had the
                       right to fabricate and belatedly introduce
                       ‘assurances’ that had not even been part of
                       previous due process was quite shocking. There was
                       no justice, no process; the guile and ruthlessness
                       of US power was on show. Might is right.


                # ⚓ Counter Punch ☛ Humanizing_Julian_Assange⠀⇛


                       It didn’t bother me more than when I perceived it
                       for myself while watching Judy Woodruff of th PBS
                       NewsHour interview Assange from London’s
                       Ecuadoraian embassy  in August of 2016 — just
                       months before the election that resulted in Trump
                       getting elected as president under a cloud of
                       controversy that enveloped both candidates: His
                       sexual scandals; Her handling of emails.


                       Judy and I go back a long way; she has long been
                       one of my favorite newsreaders and interviewers on
                       the nation’s only network that is calm and rational
                       and mostly balanced; paid by “viewers like you” and
                       corporations, like the DNC. And though she never
                       crossed the line, it was clear that she didn’t
                       trust Assange and seemed to be openly questioning
                       how he received the first batch of emails from the
                       DNC that he’d already published on Wikileaks. He
                       begins by chiding the senior journalist for calling
                       a “leak” of material a “hack,” which was the line
                       that the Obama administration was pushing through
                       the MSM. This may be a moment when the media
                       posture toward Assange began to change, and it’s
                       valuable to watch this rare and revealing footage:


                # ⚓ Common Dreams ☛ US_Lawmakers_Want_to_Bar_Using_Espionage
                  Act_to_Target_Journalists⠀⇛


                       A trio of congressional lawmakers reintroduced the
                       Espionage Reform Act on Wednesday to prevent
                       reporters from being prosecuted for publishing
                       classified information—a common journalistic
                       practice used to expose government wrongdoing.


                       “Journalists should never be prosecuted by the
                       government for what they publish. Especially when
                       politicians abuse the law to keep the public in the
                       dark.”


          o § Civil Rights/Policing⠀➾


                # ⚓ Some_California_Communities_Lack_Access_to_Safe_Drinking
                  Water:_Report⠀⇛


                       “We’re talking about almost 400 water systems who
                       are failing to provide safe, drinking water to
                       their customers,” said Michael Tilden, Acting
                       California State Auditor. “That’s significant.”


                # ⚓ RFERL ☛ Iranian_Ministry_Announces_Ban_On_The_Presence_Of
                  Women_In_Advertising⠀⇛


                       Iran’s Guidance Ministry has told advertising
                       agencies that under the government’s tightening of
                       the so-called hijab and chastity law, women are now
                       prohibited from appearing in advertisements.


                       The ministry sent a letter to agencies over the
                       weekend following the release of a promotional
                       video by the Domino ice-cream company that featured
                       an actress wearing a sweater donning additional
                       layers of clothing while images of ice cream flash
                       across the screen.


                # ⚓ NPR ☛ What_it’s_like_being_a_woman_in_Afghanistan_today:
                  ‘death_in_slow_motion’⠀⇛


                       She was escaping threats of a forced marriage with
                       a local Taliban fighter in her district in northern
                       Afghanistan and relocating to another country. “One
                       of their commanders who was only being referred to
                       as ‘maulavi’ [a title given to a religious leader]
                       demanded that my parents marry me to him. They
                       wanted to control and punish me for my work against
                       them,” F.J. said, referring to her reporting
                       critical of the Taliban’s treatment of women and
                       minorities.


                       “When I refused, they were offended and at first
                       threatened to kill my parents, but then they
                       threaten to kidnap me,” she told NPR, speaking from
                       the location where she is in hiding.


                # ⚓ Amnesty International ☛ Afghanistan:_Taliban’s_‘suffocating
                  crackdown’_destroying_lives_of_women_and_girls_–_new_report⠀⇛


                       Since they took control of the country in August
                       2021, the Taliban have violated women’s and girls’
                       rights to education, work and free movement;
                       decimated the system of protection and support for
                       those fleeing domestic violence; detained women and
                       girls for minor violations of discriminatory rules;
                       and contributed to a surge in the rates of child,
                       early and forced marriage in Afghanistan.


                       The report, Death in Slow Motion: Women and Girls
                       Under Taliban Rule, also reveals how women who
                       peacefully protested against these oppressive rules
                       have been threatened, arrested, detained, tortured,
                       and forcibly disappeared.


                # ⚓ Amnesty International ☛ Afghanistan:_Death_in_slow_motion:
                  Women_and_girls_under_Taliban_rule⠀⇛


                       In less than a year, the Taliban have decimated the
                       rights of women and girls in Afghanistan. They have
                       violated women’s and girls’ rights to education,
                       work and free movement; demolished the system of
                       support for women and girls fleeing domestic
                       violence; arbitrarily detained women and girls for
                       infractions of the Taliban’s discriminatory rules;
                       and contributed to a surge in the rates of child,
                       early and forced marriage. Women who peacefully
                       protested against these restrictions and policies
                       have been harassed, threatened, arrested, forcibly
                       disappeared, arbitrarily detained and tortured.


                # ⚓ ABC ☛ Amnesty_International_report_finds_Afghan_women_are
                  being_tortured_under_the_Taliban’s_rule⠀⇛


                       They interviewed 90 women and 11 girls aged between
                       14 and 74 years of age across Afghanistan.


                       Among them were women detained for protesting who
                       described torture at the hands of Taliban guards,
                       including beatings and threats of death.


                # ⚓ RFERL ☛ ‘Death_In_Slow_Motion’:_Amnesty_Report_Documents
                  Taliban’s_‘Suffocating_Crackdown’_On_Women,_Girls⠀⇛


                       Amnesty said Afghanistan’s economic and
                       humanitarian crisis has deprived women and girls of
                       education and job prospects. The report documented
                       cases of forced marriages of women and girls to
                       Taliban members — under pressure by the Taliban
                       member or by the women’s families.


                # ⚓ CTV News ☛ Amnesty:_Taliban_crackdown_on_rights_is
                  ‘suffocating’_women⠀⇛


                       The Taliban seized Kabul as U.S. and NATO forces
                       were withdrawing from Afghanistan, ending a nearly
                       20-year war against the Taliban’s insurgency. The
                       world has refused to recognize the Taliban’s rule,
                       demanding it respect human rights and show
                       tolerance for other groups. The U.S. and its allies
                       have cut off billions in development funds that
                       kept the government afloat, as well as froze
                       billions in Afghan national assets.


                # ⚓ NBC ☛ For_wrongfully_convicted_Black_men,_exoneration_can
                  be_just_as_traumatizing_as_prison⠀⇛


                       “And you’re dropped into society so damaged that
                       you don’t know how to fit in,” he added. “That’s
                       the part of these exonerations that people don’t
                       realize. They think you’re fine because you’re
                       finally free, and you look, on the outside, like
                       you’re fine. But you’re not. On the inside, you’re
                       spinning. You’re lost and struggling with so much.
                       It’s hard.”


                # ⚓ Common Dreams ☛ ‘Beyond_Unacceptable’:_Progressives_Rip
                  Senate_Republicans_for_Blocking_Birth_Control_Bill⠀⇛


                       Democratic U.S. lawmakers and reproductive freedom
                       advocates on Wednesday denounced Senate Republicans
                       for blocking proposed legislation that would
                       safeguard access to contraception as GOP-led states
                       enact total abortion bans in the wake of Roe v.
                       Wade’s reversal.


                       “These extremists are pulling back the curtain to
                       reveal just how out of touch they are with
                       Americans. Voters won’t forget it come November.”


                # ⚓ FAIR ☛ ‘Privacy_Is_the_Entry_Point_for_Our_Civil_and_Basic
                  Rights’⠀⇛


                       Janine Jackson: The anticipated—but still
                       devastating—Dobbs decision aims to take
                       reproductive health care out of the hands of
                       countless people, and it’s already having that
                       effect. But one might think as terrible as that is,
                       at least a person can go online to learn how to get
                       to the nearest abortion access point, or order
                       pills from Canada. 


                # ⚓ Scheerpost ☛ ScheerPost_Celebrates_Norman_Lear’s_100th
                  Birthday⠀⇛


                       The six-time Emmy Award winner, television legend
                       and political activist adds another achievement to
                       his already monumental history: a century of life.


                # ⚓ The Nation ☛ Democrats_Can’t_Leave_Pro-Choice_Votes_on_the
                  Table⠀⇛


                       In the weeks following the Dobbs decision, national
                       polls showed that a significant swath of registered
                       voters are united over abortion rights as a
                       priority. But perhaps most vitally, recent research
                       makes it clear that the Roe reversal has brought to
                       the fore a potential coalition of abortion rights
                       supporters that, if successfully leveraged, could
                       prove a powerful challenge to the anti-abortion
                       movement.


          o § Internet Policy/Net Neutrality⠀➾


                # ⚓ Techdirt ☛ New_Bill_Would_Ban_U.S._Broadband_Caps._Sort
                  Of.⠀⇛


                       With the midterms looming, Democrats are apparently
                       once again embracing one of their favorite
                       “strategies”: pushing bills they know have no
                       chance of passing, that may not even do the thing
                       they claim to do, in a bid to make it look like at
                       least they’re “doing something.”


          o § Digital Restrictions (DRM)⠀➾


                # ⚓ Hollywood Reporter ☛ ITV_Ad_Revenue_Drops_5_Percent_in
                  Second_Quarter,_Studios_Unit_Grows_16_Percent_in_First_Half⠀⇛


                       U.K. TV giant ITV reported better-than-expected
                       first-half 2022 revenue on Thursday, including a
                       gain of 6 percent in total external revenue and a 5
                       percent improvement in advertising revenue, but the
                       latter declined in the second quarter amid
                       difficult comparisons with the year-ago period.


                # ⚓ Techdirt ☛ Politicians_Whining_About_Censorship_Are_All
                  Just_Trying_To_Dictate_The_Terms_Of_Debate⠀⇛


                       So, we just had a post mocking the Democrats for
                       whining about Hulu refusing their issue ads, and
                       falsely calling it “censorship.” And now we have
                       Republicans issuing a bullshit blustery threat
                       letter to Google not to limit searches for sketchy
                       fake abortion centers.


                # ⚓ Techdirt ☛ Hulu_Blocking_Democrats’_Ads_Is_No_More
                  ‘Censorship’_Than_Social_Media_Removing_Harassment⠀⇛


                       What a terrible world it would be if Republicans
                       and Democrats alike start pushing for 1st
                       Amendment-violating demands on websites that they
                       be compelled to carry speech they don’t want to.
                       Over the last few years, we’ve seen mainly
                       Republicans pushing for these kinds of “must carry”
                       / “can’t moderate” rules in response to what they
                       (without any actual evidence) believe is anti-
                       conservative bias in moderation. The end result
                       were some blatantly unconstitutional laws that have
                       been mostly… ruled unconstitutional.


          o § Monopolies⠀➾


                # ⚓ Next Cloud ☛ Nextcloud_in_the_Wall_Street_Journal:
                  Microsoft_and_cookies⠀⇛


                       One could question whether offering some
                       collaborative marketing was really meant to address
                       such deep-rooted anti-competitive behavior, or if
                       the goal was simply to let the complaint go away
                       with some marketing dollars.


                # ⚓ PC_UEFI_&_Microsoft_Monopoly⠀⇛


                       The PC Hardware + Microsoft Windows 8 with UEFI
                       (Unified Extensible Firmware Interface) will
                       monopolise amd64 hardware. If you (or your OS
                       project/supplier) make your own kernels for amd64,
                       you will not be able to boot them (unless you buy a
                       key from a company working with the monopoly, or
                       possibly go to arcane efforts, a deterrent to free
                       choice & supply).


                # ⚓ Hollywood Reporter ☛ FTC_Sues_to_Block_Meta’s_Bid_to_Buy
                  Virtual_Reality_Firm⠀⇛


                       In a lawsuit filed on Wednesday, the Federal Trade
                       Commission sued to block Meta, formerly known as
                       Facebook, from buying game developer Within in a
                       bid to limit the company’s reach in the virtual
                       reality market. The complaint advances relatively
                       untested theories arguing that antitrust laws
                       account for actions taken by a firm that isn’t yet
                       a monopolist but is positioned to become one. The
                       legal action potentially indicates a pivot from the
                       agency toward limiting acquisitions by dominant
                       firms in markets for growing technologies.


                # § Patents⠀➾


                      # ⚓ TruthOut ☛ Sanders:_Democrats’_Drug_Pricing_Plan
                        “Goes_Nowhere_Near_as_Far_as_It_Should”⠀⇛


                      # ⚓ Common Dreams ☛ GOP_‘Working_Hand_in_Hand_With_Big
                        Pharma’_to_Kill_Drug_Price_Reform_Behind_Closed_Doors⠀⇛


                             Republican lawmakers are working behind
                             closed doors to convince the Senate
                             parliamentarian—the chamber’s unelected rules
                             arbiter—to tank Democrats’ watered-down but
                             still potentially impactful proposal to
                             require Medicare to negotiate the prices of a
                             small number of prescription drugs directly
                             with pharmaceutical companies.


                             Sen. Mike Crapo (R-Idaho), a major
                             beneficiary of pharmaceutical industry
                             campaign cash, admitted as much in remarks to
                             reporters on Tuesday, saying that he and his
                             GOP colleagues are “going through line by
                             line, literally, making objections” in
                             private meetings with the Senate
                             parliamentarian, who is tasked with offering
                             advice on whether reconciliation provisions
                             comply with chamber rules.


                # § Trademarks⠀➾


                      # ⚓ Techdirt ☛ Girl_Scouts_Settle_Trademark_Suit_With
                        Scouts_BSA⠀⇛


                             For roughly the past four years, we have been
                             following the trademark lawsuit brought by
                             the Girl Scouts of America (GSA) against
                             Scouts BSA, formerly the Boy Scouts of
                             America. While these two organizations
                             coexisted peacefully for many years thanks to
                             BSA’s “girls have cooties” viewpoint, that
                             changed when BSA suddenly started allowing
                             girls to join and underwent the rebrand to
                             Scouts BSA. That rebrand often times included
                             putting “girl” and “scouts” next to each
                             other in recruiting branding, the use of Girl
                             Scout slogans, pictures of in-uniform Girl
                             Scouts in BSA recruiting material, and on and
                             on. GSA notably also provided real-world
                             examples of the above causing confusion in
                             the public.


                # § Copyrights⠀➾


                      # ⚓ Torrent Freak ☛ Pirates_Liberate_Games_From
                        Battle.net_To_Send_Message_To_Activision_Blizzard⠀⇛


                             Hacking, cracking, piracy group Blizzless
                             Project has released special versions of
                             Starcraft: Remastered, Warcraft III:
                             Reforged, and Diablo II: Resurrected,
                             enabling them to be played offline with no
                             connection to Battle.net. In what appears to
                             be a message to Activision Blizzard, the team
                             suggests it will put right what the company
                             has been doing wrong.


                      # ⚓ Torrent Freak ☛ GeoComply_Expands_VPN_‘Piracy’
                        Detection_By_Blocking_Residential_IP-Addresses⠀⇛


                             VPN detection service GeoComply helps
                             rightsholders and streaming platforms ban so-
                             called ‘geo pirates’, users who bypass
                             geographical restrictions using online tools.
                             Because some VPN providers use residential IP
                             addresses to circumvent such restrictions,
                             GeoComply is now blocking these as well. The
                             company bills it as a revolutionary
                             technology.


    * § Gemini* and Gopher⠀➾


          o § Personal⠀➾


                # ⚓ SpellBinding:_CEGUORH_Wordo:_OFFEN⠀⇛


          o § Politics⠀➾


                # ⚓ Flexibility_&_Life⠀⇛


                       To be able to withstand the punches life throws at
                       you, being flexible is helpful, methinks. It allows
                       you to focus on what matters to you, overlook what
                       doesn’t, and dodge them punches like a pro. Not
                       only that, but you can more easily experiment with
                       things and try to find what works best. “If you
                       don’t have the room to fail, you only have the room
                       to remain” (if it almost rhymes it’s true,
                       amirite?)


          o § Technical⠀➾


                # ⚓ Cybersecurity_sensationalism⠀⇛


                       Cybersecurity is a hot field and while we’ve made
                       leaps and bounds in the field, there’s also been a
                       growing number of clickbait and sensationalist
                       headlines making the rounds. Every “major”
                       vulnerability now seems like it needs to be
                       accompanied by a domain, logo and FAQ talking about
                       how dangerous it is. Similarly, on a weekly basis
                       news outlets mention some super sneaky cross
                       platform rootkit undetected by all anti-virus
                       vendors giving hackers full control of your system.


                       [...]


                       Recently, a cybersecurity “advisor” posted on
                       twitter a screenshot of a supposed Discord scam
                       where an image failing to load allows them to steal
                       your discord token and bypass 2FA. There was only a
                       screenshot, but no technical writeup or proof of
                       concept. One should be skeptical because there are
                       two major vulnerabilities implied here: the ability
                       for an automated script to bypass 2FA to steal your
                       token, and doing so via an image that would bypass
                       Discord’s content security policy and/or electron
                       sandboxing.


                # § Science⠀➾


                      # ⚓ Counter Punch ☛ We_are_One_Species⠀⇛


                             First, it should be uncontroversial to assert
                             the antiracist principle, anchored in basic
                             biology, that we are one species. There are
                             observable differences in such things as skin
                             color and hair texture, as well as some
                             patterns in predisposition to disease based
                             on ancestors’ geographic origins, but the
                             idea of separate races was created by humans
                             and is not found in nature.


                             There are no known biologically based
                             differences in intellectual, psychological,
                             or moral attributes between human populations
                             from different regions of the world. There is
                             individual variation within any human
                             population in a particular place (obviously,
                             individuals in any society differ in a
                             variety of traits). But there are no
                             meaningful biologically based
                             differences between populations in the way
                             people are capable of thinking, feeling, or
                             making decisions. We are one species. We are
                             all basically the same animal.


                      # ⚓ Hackaday ☛ Electrolytes,_They’re_What_Dehydrated
                        Hackaday_Writers_Crave!⠀⇛


                             The oddly prophetic 2006 comedy film
                             Idiocracy features an isotonic drink called
                             Brawndo, whose marketing continuously refers
                             to its electrolytes as a miraculous property.
                             Brawndo is revealed in the film to be useless
                             for agricultural irrigation, but yesterday
                             perhaps a couple of Hackaday writers could
                             have used a bottle or two. At the MCH hacker
                             camp, the record heat of a Dutch summer under
                             the influence of global warming caused us to
                             become dehydrated, and thus necessitated a
                             trip to the first aid post for some
                             treatment. We’d done all the right things,
                             staying in the shade, keeping as cool as we
                             could, eating salty foods like crisps, and
                             drinking plenty of liquids, so what had gone
                             wrong?


                # § Internet/Gemini⠀➾


                      # ⚓ Digital_Memory⠀⇛


                             But this all begs the question, why do we
                             need search? Is search good for the
                             community?


                             I myself am a datahoarder in some respects,
                             and the thought of content being lost to time
                             brings me no pleasure. However, I think it’s
                             worth considering that an immortal,
                             searchable archive of everything may not be
                             an unequivocally good thing.


                             [...]


                             This state of affairs accurately describes
                             the way that the internet currently
                             functions. Regardless of who controls the
                             internet or how decentralized platforms are,
                             the fact that you can always dig back in time
                             and find digital traces of everyone’s pasts
                             means that we are constantly participating in
                             an administrative surveillance state. (At
                             least, each of our online identities are —
                             what connection an online identity bears to
                             your personal identity is a topic for another
                             time.) The problem then, is not that a state
                             or corporation controls the internet, but
                             that the internet itself _assumes the state
                             form_. Everything can and will be held
                             against you in a court of law. Identities are
                             not allowed to be changing and dynamic — if
                             you change as a person, your only choice is
                             to discard an identity and take up a new one.


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


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