𝕿𝖊𝖈𝖍𝖗𝖎𝖌𝖍𝖙𝖘 Bulletin for Sunday, August 10, 2025
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Generated Mon 11 Aug 02:49:19 BST 2025
Created by Dr. Roy Schestowitz (𝚛𝚘𝚢 (at) 𝚜𝚌𝚑𝚎𝚜𝚝𝚘𝚠𝚒𝚝𝚣 (dot) 𝚌𝚘𝚖)
Full hyperlinks for navigation omitted but are fully available in the originals
The corresponding HTML versions are at 𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈
Latest in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒕𝒙𝒕 and older bulletins can be found at 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒕𝒙𝒕-𝒂𝒓𝒄𝒉𝒊𝒗𝒆𝒔
Full IPFS index in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒊𝒑𝒇𝒔 and as plain text in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒊𝒑𝒇𝒔/𝒕𝒙𝒕
Gemini index for the day: gemini://gemini.techrights.org/2025/08/10/


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

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

⦿ Techrights  -  IBM's Strategy: Cull 'Expensive' Workers, Replace Them With Cheaper Ones

⦿ Techrights  -  If You Attack Somebody Too Much You Legitimise and Strengthen That Somebody

⦿ Techrights  -  IRC Proceedings: Saturday, August 09, 2025

⦿ Techrights  -  Over at Tux Machines...

⦿ Techrights  -  Simpler is Better When Simple is Enough

⦿ Techrights  -  Sloppy Reporting About Slop, or How The Register MS Lowers Its Standards

⦿ Techrights  -  Slopwatch: LinuxSecurity, Brian Fagioli, and Other Serial Sloppers

⦿ Techrights  -  Sometimes Newer is Worse

⦿ Techrights  -  The Code Used to Make Techrights Fits on a Seventh of a Floppy Disk (or 100KB When Compressed)

⦿ Techrights  -  The Man Who Helped Microsoft Kill Linux is Trying to Delay Our Lawsuits Against Him

⦿ Techrights  -  What They Tell Young Programmers

 ䷼ Bulletin articles (as HTML) to comment on (requires login):
https://techrights.org/n/2025/08/10/IBM_s_Strategy_Cull_Expensive_Workers_Replace_Them_With_Cheaper.shtml
https://techrights.org/n/2025/08/10/If_You_Attack_Somebody_Too_Much_You_Legitimise_and_Strengthen_T.shtml
https://techrights.org/n/2025/08/10/IRC_Proceedings_Saturday_August_09_2025.shtml
https://techrights.org/n/2025/08/10/Over_at_Tux_Machines.shtml
https://techrights.org/n/2025/08/10/Simpler_is_Better_When_Simple_is_Enough.shtml
https://techrights.org/n/2025/08/10/Sloppy_Reporting_About_Slop_or_How_The_Register_MS_Lowers_Its_S.shtml
https://techrights.org/n/2025/08/10/Slopwatch_LinuxSecurity_Brian_Fagioli_and_Other_Serial_Sloppers.shtml
https://techrights.org/n/2025/08/10/Sometimes_Newer_is_Worse.shtml
https://techrights.org/n/2025/08/10/The_Code_Used_to_Make_Techrights_Fits_on_a_Seventh_of_a_Floppy_.shtml
https://techrights.org/n/2025/08/10/The_Man_Who_Helped_Microsoft_Kill_Linux_is_Trying_to_Delay_Our_.shtml
https://techrights.org/n/2025/08/10/What_They_Tell_Young_Programmers.shtml

 ䷞ Followed by Daily Links (assorted news picks curated and categorised):
https://techrights.org/n/2025/08/10/Gemini_Links_10_08_2025_Gen_Con_2025_and_Framework_Laptop.shtml
https://techrights.org/n/2025/08/10/Gemini_Links_10_08_2025_Residents_Management_Company_Automation.shtml
https://techrights.org/n/2025/08/10/Links_10_08_2025_AOL_Ending_Dial_up.shtml
https://techrights.org/n/2025/08/10/Links_10_08_2025_From_Social_Control_Media_to_Prison_New_Exampl.shtml
https://techrights.org/n/2025/08/10/Links_10_08_2025_Webrings_AI_Sunglasses_and_AI_Eyeglasses_US_Ad.shtml

                    ䷩ 𝚕𝚒𝚗𝚎 81

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/08/10/IBM_s_Strategy_Cull_Expensive_Workers_Replace_Them_With_Cheaper.shtml
    Gemini version at gemini://gemini.techrights.org/n/2025/08/10/IBM_s_Strategy_Cull_Expensive_Workers_Replace_Them_With_Cheaper.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ IBM's Strategy: Cull 'Expensive' Workers,
Replace Them With Cheaper Ones⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Aug 10, 2025,
updated Aug 10, 2025


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


Tactically speaking, IBM isn't trying to grow, as it cannot. To maintain
profits (which it then spends buying companies for their revenue, hence faking
revenue_growth; it also borrows_a_lot_of_money_to_do_this) it needs to cut
costs, which means cutting staff.


So far we saw not even one rebuttal or challenge to the claim of Red Hat
layoffs scheduled for tomorrow. That is certainly not "proof" that it's
happening; however, it increases the probability of it. █


  🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇RedHat_has_had_employees_in_low-cost_countries_for_many
                                   years.⦈_


    * If_You_Attack_Somebody_Too_Much_You_Legitimise_and_Strengthen_That
      Somebody
    * Sloppy_Reporting_About_Slop,_or_How_The_Register_MS_Lowers_Its_Standards


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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠶⠶⡟⣛⣟⣻⣛⣻⢛⡛⣛⢻⢛⣿⢟⣛⣟⣛⣿⣿⢸⣿⢺⢛⡛⡟⣿⣟⠿⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢃⡠⠫⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣛⣇⣿⣿⣻⣝⣽⣼⡇⣛⣼⣼⣿⣝⣢⣦⣫⣿⣿⣘⣛⣼⣸⣇⣇⣫⣟⣤⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠿⠟⠛⠛⠛⠛⠛⠛⠛⠛⠛⢉⠩⠐⠁⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣉⣭⣴⠶⠶⠶⠶⠶⠶⠶⡶⢶⠆⠀⠉⠀⠀⢀⠔⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠙⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠠⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣝⣛⣛⣛⣛⣛⣃⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣸
⣿⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣽⣿⢿⡿⢿⣿⣿⣿⣿⡏⡿⠿⣿
⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣧⣤⣧⣦⣿⣤⣦⣼⡇⣇⣠⣿
⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡿⡿⣿⣿⣿⣿⣿⣿⡟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡇⠆⣿⠶⣆⠤⡇⠆⡇⡇⡇⢤⠀⢸⡇⡷⢰⢉⠎⡁⡃⢾⠯⡆⢼⠶⡡⠼⠆⡇⣿⡱⠹⡆⣿⠰⠱⣱⠎⣎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡿⠿⠿⠿⠿⠿⠷⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠷⠿⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿
⣿⣾⣿⡿⣛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠶⠶⢾⣿
⣿⣿⣿⣶⣃⣾⣿⣿⣿⣀⣛⣃⣻⣚⣔⣀⣻⣺⣀⣀⣁⣏⣉⣉⣁⣁⣏⣉⣩⣍⣻⣇⣋⣉⣙⣿⣙⡫⣹⣉⣉⣉⣘⣟⣙⣹⣝⣛⣷⣛⣉⣩⣁⣯⣉⡉⣉⣉⣉⣍⣉⣯⣽⣃⣉⡩⣽⣋⣉⣉⣺⣜⣻⡿⠾⠶⢞⣿
⣿⣿⣿⣟⡋⢹⣿⣿⣿⠟⠟⠟⠋⡏⢝⠟⠿⡿⠻⡟⠛⠛⠉⠟⠟⠻⢻⠛⠛⠟⠋⡟⢟⠛⠛⠫⡟⠟⢻⠏⠛⢛⣻⠛⢟⠿⠻⢯⠛⠩⣿⢟⠟⢻⠏⠝⠛⠋⠟⡟⠛⡛⠟⢿⠛⠙⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⠿⡍⢿⣿⣿⣿⠿⠿⠿⠿⣿⢿⠿⢿⣿⡿⡿⠿⠿⡿⠿⢿⠿⠿⢿⣿⠿⠿⢿⢿⠿⠿⢿⠟⠿⢿⠿⢻⣷⠿⢿⠿⢿⠿⢿⢿⠿⢿⠟⠿⠿⠿⠿⠿⠿⣿⠿⠿⠿⢿⠿⠟⠿⠿⢿⣿⡿⢿⡿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣮⣫⣼⣿⣿⣿⣷⣶⣿⣾⣿⣶⣶⣶⣿⣿⣿⣶⣿⣾⣶⣶⣾⣧⣿⣿⣶⣾⣷⣿⣶⣷⣿⣷⣶⣿⣾⣶⣷⣾⣾⣷⣿⣾⣾⣷⣷⣿⣷⣶⣷⣶⣾⣿⣶⣽⣵⣾⣷⣷⣿⣷⣶⣾⣥⣿⣷⣾⣷⣾⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣄⣦⣄⣼⣠⣤⣧⣧⣠⣯⣥⣗⣆⣷⣮⣮⣪⣼⣬⣦⣤⣬⣮⣵⣶⣵⣷⣷⣤⣥⣰⣝⣧⣴⣄⣠⣷⣴⣽⣱⣮⣿⣶⣇⣅⣵⣷⣶⣽⣂⣤⣤⣬⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣉⣉⣗⣈⣘⣸⣶⣩⣩⣋⣁⣇⣌⣁⣈⡉⣿⣉⣇⣌⣉⣉⡉⣽⣙⣝⣉⡙⣗⣌⣉⣉⣉⣸⣈⣉⣑⣈⣉⣻⣧⣑⣙⣉⣹⣝⣏⣷⣩⣹⣈⣝⣨⣋⣉⣉⣇⣉⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⡛⡟⢟⠻⡛⠟⠟⢿⡛⢛⣛⠻⡿⠛⡻⣻⢛⢛⡛⠟⣟⣛⢟⢟⡛⣛⡻⠛⡛⢟⣟⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡏⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢹
⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣹⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣸
⣿⣫⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣍⣉⣉⣉⣽
⣿⣿⣿⣋⡖⣹⣿⣿⣿⣻⡿⣿⢿⡿⢻⣻⣿⠿⣿⠿⠿⠿⢿⣿⣿⣿⡿⠻⣿⡿⣿⢿⣿⠿⡿⣿⡿⠟⠛⡿⠿⠿⡟⣿⠿⣿⡿⡿⢿⠟⠿⡿⢿⣟⡛⠿⠿⠿⡿⠿⠿⡿⢿⢿⣿⠿⣿⡿⣿⣿⣿⣿⣿⣿⣩⣉⣽⣿
⣿⣿⣿⣿⡶⢿⣿⣿⣿⣶⣾⣾⣶⣶⣶⣷⣶⣶⣷⣶⣾⢷⣶⣷⣷⢶⢦⣶⣷⣷⣶⣶⣾⣾⣾⣶⡿⢶⣶⣷⣷⣷⢷⣶⣷⣿⣶⣷⣶⣶⣶⣶⣶⣷⣷⣶⣶⣶⣷⣶⣷⣷⣶⣾⣶⣶⣶⣶⣿⣿⣿⣿⣿⣯⣭⣭⣽⣿
⣿⣿⣿⣷⠦⣼⣿⣿⣿⣦⣥⣵⣥⣀⣤⣴⣼⣤⣦⣤⣼⣤⣦⣮⣤⣼⣤⣼⣤⣤⣤⣤⣤⣮⣠⣼⣥⣦⣧⣦⣤⣼⣬⣤⣤⣔⣾⣤⣤⣥⣶⣤⣤⣤⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡫⡧⢻⣿⣿⣿⣉⣏⣉⣍⣏⣡⣏⣈⣉⣉⣽⣭⣍⣉⣝⡉⢉⣉⣉⣏⣭⣉⣸⣍⣉⣭⣉⡋⣩⣭⣹⣩⣱⣭⣝⣉⣝⡉⢉⣉⣍⣏⣭⣉⣸⣉⣉⣉⣉⣉⣩⣉⣹⣭⣭⣉⣉⣉⣉⣍⣏⣉⣩⣹⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣶⣿⣿⣿⣿⠛⣛⠟⠛⠟⡟⠛⣻⠻⡻⣻⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣷⣾⣿⣾⣾⣾⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡏⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢹
⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣻⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣸
⣿⣫⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣍⣉⣉⣩⣻
⣿⣿⣿⣋⡖⣹⣿⣿⣿⠛⠿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣙⣉⣹⣿
⣿⣿⣿⣿⡶⢿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣭⣭⣿
⣿⣿⣿⣷⣦⣼⣿⣿⣿⠿⣿⠿⢿⢿⠿⡿⡿⡿⠿⢿⠿⠿⡿⠿⡿⠿⡿⣿⠿⠿⡿⡿⠿⠿⡿⠿⡿⣿⠿⡿⡿⠿⢿⠿⠿⡿⢿⡿⠿⡿⠿⠿⢿⢿⢿⡿⢿⡿⠿⡿⢿⡿⢿⣿⢿⣿⣿⠿⣿⣿⠿⡿⢿⠿⠿⢿⣿⣿
⣿⣿⣿⡻⣧⢿⣿⣿⣿⣭⣼⣥⣴⣼⣵⣧⣦⣦⣼⣼⣴⣭⣬⣧⣿⣥⣤⣾⣤⣤⣦⣧⣴⣤⣭⣤⣯⣮⣬⣤⣷⣤⣼⣬⣯⣦⣥⣧⣴⣭⣶⣶⣽⣾⣽⣮⣶⣦⣼⣧⣮⣷⣵⣽⣵⣿⣶⣯⣮⣭⣥⣯⣽⣤⣴⣽⣿⣿
⣿⣿⣿⣿⣶⣿⣿⣿⣿⣋⣫⣉⣛⣻⣋⣹⣉⣋⢻⣛⣉⣀⣊⣉⣹⣊⣩⣍⣉⣱⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣙⣝⣍⣯⣋⣉⣝⣭⣽⣏⣹⣉⣩⣝⣙⣭⣍⣫⣿⣍⣹⣉⣩⣫⣹⣭⣋⣙⣹⣉⣉⣩⣹⣭⣙⣙⣯⣏⣉⣉⣏⣭⣋⣭⣯⣛⣟⣙⡭⣏⡍⣹⣙⣹⣍⢩⣯⣋⣏⣭⡟⣍⣋⣩⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⠛⡿⠿⢿⡛⡛⠟⠿⠟⠻⠻⢛⣻⣛⢟⡿⠛⡟⣿⢻⠿⡟⠟⠿⠟⠛⣟⠟⡿⣟⣟⣟⣛⡟⣛⢿⠛⣿⠛⢛⣟⡟⣟⣛⡻⢛⢛⢟⢻⣛⢟⣿⣟⣿⠛⠟⣛⠟⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣷⣶⣶⣷⣾⣶⣶⣶⣾⣾⣾⣿⣶⣿⣷⣶⣶⣷⣾⣶⣶⣷⣶⣶⣿⣷⣷⣶⣷⣾⣷⣶⣶⣾⣶⣾⣾⣶⣶⣾⣶⣾⣾⣿⣶⣾⣶⣾⣶⣷⣷⣷⣾⣶⣶⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⡿⢿⢿⡟⠿⠿⡿⠿⣿⠿⢿⣿⢿⢿⠿⠿⠿⠟⡿⠿⠿⠿⠿⠿⠿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⡿⠿⠟⠿⣿⡿⠿⠿⠿⣿⠿⠿⠿⠿⠿⡿⠿⠿⣿⠿⢿⡿⡿⢿⠿⠿⠿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣶⣷⣶⣶⣶⣾⣿⣷⣿⣷⣾⣼⣶⣶⣶⣶⣷⣶⣿⣶⣶⣦⣴⣾⣿⣷⣶⣦⣿⣶⣶⣶⣾⣷⣷⣶⣶⣾⣿⣼⣾⣾⣿⣶⣶⣶⣷⣾⣿⣶⣶⣶⣷⣦⣷⣿⣾⣿⣦⣿⣶⣾⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣒⣃⣓⣶⣂⣓⣊⣗⣚⣪⣒⣁⣗⣑⣀⣂⣺⣐⣸⣐⣀⣰⣇⣁⣀⣀⣈⣀⣀⣃⣻⣨⣒⣞⣇⣔⣺⣻⣇⣸⣇⣀⣨⣒⣁⣇⣄⣅⣀⣸⣚⣍⣸⣀⣇⣪⣰⣒⣃⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠻⠟⠻⠟⠟⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⡛⡛⣛⣿⠛⠛⠙⣛⡛⠛⠛⠛⣻⡛⠋⠛⣻⡟⡻⡟⡻⡛⠛⡋⢛⡟⠋⢻⢛⠛⡛⣿⣿⣟⣟⣿⢛⡻⣛⠛⣿⡛⢟⣻⠙⢛⢻⣻⡛⠛⢋⣻⣛⡻⣋⣿⠛⣛⡟⣛⢻⠿⣛⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⢿⣿⣿⣿⡿⣿⣿⣿⣿⡿⣿⢷⣿⣿⣷⣷⣿⣿⣷⣿⣿⣿⢿⢿⣷⣿⣿⣿⣿⢿⡿⣿⣿⣿⣿⡿⣾⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⢿⡷⣾⣿⣿⠿⡿⣿⣿⡿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⣧⣼⣬⣽⣼⣬⣼⣤⣤⣬⣽⣥⣧⣵⣭⣭⣭⣯⣥⣵⣥⣥⣬⣬⣧⣤⣤⣼⣼⣤⣤⣤⣭⣼⣭⣧⣼⣵⣭⣽⣥⣤⣼⣤⣤⣤⣤⣤⣤⣬⣴⣦⣿⣥⣿⣥⣬⣽⣥⣽⣥⣤⣼⣬⣯⣯⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⣙⣏⣙⣛⣅⣚⡉⢹⣉⡏⣉⣁⣉⣉⣛⣉⣒⢍⣏⣉⣉⣉⣉⣉⣁⣛⣛⣛⣏⣈⣩⣭⣁⣉⣉⣏⣛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣏⣿⣿⣙⣉⣉⣙⣹⣯⣏⣋⣏⣭⣋⣩⣛⣍⣭⣭⣉⡉⠹⣏⣭⣋⣭⣻⣍⣭⣭⣉⡉⠹⣟⣫⣽⣫⣯⣯⣍⣿⣏⣏⣉⣋⣏⣩⣉⣹⣭⣽⣩⣍⣹⣏⣯⣝⣽⣫⣩⣝⣹⣽⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⡿⡿⡿⡿⠿⡿⡟⣻⡿⡿⡿⠿⠿⡻⠿⠛⠻⡿⣿⠿⢿⡿⢿⡿⠿⠿⠿⠿⢿⠿⠿⠿⡿⠿⢟⡿⢿⡿⢿⢿⡿⣿⡿⡿⠿⠿⠟⠿⠿⠿⡿⠿⠛⡻⣿⣿⢿⣿⠻⠿⢿⠿⢿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡶⣶⣶⣿⣾⣶⣶⣶⣷⣶⣶⣶⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣴⣷⣶⣶⣶⣶⣶⣶⣾⣶⣾⣶⣷⣷⣶⣶⣶⣷⣾⣶⣶⣶⣷⣶⣵⣿⣷⣶⣶⣷⣿⣿⣶⣶⣷⣷⣾⣵⣶⣶⣾⣶⣾⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣵⣬⣥⣄⣀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢻
⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⢷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢿
⣿⣾⣿⢟⣝⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢷⣿
⣿⣿⣿⣷⣃⣾⣿⣿⣿⣿⣿⣷⣧⣼⣥⣠⣥⣴⣼⣴⣾⣧⣧⣼⣷⣮⣾⣦⣼⣮⣼⣴⣮⣼⣤⣥⣤⣾⣤⣤⣥⣧⣴⣬⣷⣾⣧⣠⣤⣥⣤⣤⣷⣥⣀⣧⣥⣧⣴⣭⣷⣶⣧⣶⣶⣮⣤⣵⣭⣤⣿⣿⣿⣿⣿⣿⣟⣿
⣿⣿⣿⣏⣗⣼⣿⣿⣿⣿⣿⡿⠟⢛⢛⢻⣛⣛⣛⣛⣻⣿⣽⣽⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⠿⡍⢿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣷⣭⣾⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡏⠉⠛⠛⠿⠿⠿⢿⣿⣿⣿⣿⣯⣭⣭⣭⣭⣭⣍⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣭⣭⣭⣭⣭⣭⣿⣿⣿⣿⣿⠿⠿⠿⠛⠛⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢹
⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣝⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣸
⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣛⣛⣽
⣿⣿⣿⣋⡖⣹⣿⣿⣿⣻⠿⡿⠿⠿⢿⢿⡟⢻⡿⢿⠻⣿⣿⢿⢿⠿⣿⢟⣿⠻⠿⡿⠿⠿⢿⣟⠛⠻⢻⠛⠛⢿⢿⡻⠿⠟⢿⠿⠟⣿⡻⠿⢻⢿⢿⠛⠛⢿⣿⡿⠟⣿⣿⠿⢿⡿⠿⢿⠿⠿⠿⠿⢿⣿⣩⣉⣽⣿
⣿⣿⣿⣿⢶⠿⣿⣿⣿⣾⣾⣶⣶⣶⡶⣶⣷⡶⣶⣾⣶⣷⣶⣶⣿⡶⣷⣷⣷⣶⡶⣷⢶⣾⠿⣷⢶⢶⠾⠶⡿⢿⣶⠶⣾⡷⣶⣶⣶⣾⣷⢶⠾⠶⡾⣶⡿⢾⣶⢶⣶⣶⣾⣶⣾⣷⣶⣾⣶⣶⣾⣷⣾⣿⣿⣿⣷⣿
⣿⣿⣿⣶⠿⣧⣿⣿⣿⣤⣄⣄⣤⣥⣦⣧⣭⣯⣬⣷⣤⣤⣧⣥⣤⣤⣧⣤⣤⣤⣤⣵⣤⣤⣿⣷⣥⣥⣽⣤⣧⣤⣤⣤⣤⣤⣧⣠⣦⣦⣽⣭⣴⣤⣧⣤⣯⣤⣤⣽⣄⣽⣤⣥⣿⣥⣼⣤⣤⣤⣭⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡉⠧⣹⣿⣿⣿⣽⣉⣅⢍⣯⣉⣉⣏⣹⡉⣉⣉⣉⣉⣉⣍⣏⣡⡏⢭⣉⣍⣍⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣾⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿
⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣮⣿⣿⣿⣿⣿⣧⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼

                    ䷩ 𝚕𝚒𝚗𝚎 226

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/08/10/If_You_Attack_Somebody_Too_Much_You_Legitimise_and_Strengthen_T.shtml
    Gemini version at gemini://gemini.techrights.org/n/2025/08/10/If_You_Attack_Somebody_Too_Much_You_Legitimise_and_Strengthen_T.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ If You Attack Somebody Too Much You
Legitimise and Strengthen That Somebody⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Aug 10, 2025


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Renata_Avila_at_Digital_Future_Society,_September_2020⦈_


Since Monday we've had another productive week (about 140 pages/articles) and
next week ought to be the same. We don't lack topics as much as we lack time/
capacity and our ability to produce material grows as a function of the attacks
on us. The harsher the attacks on us, the more people can sympathise and
recognise the importance of our work. I've long felt the same about Richard
Stallman, who has faced far more attacks than Linus Torvalds ever faced.


Why?


Well, I think that deep inside many people know he was right for decades
already and if they don't like what's happening or if they refuse to accept
what's happening, then they start attacking the 'prophet'. But that just
doesn't work; at the end those attacks add up to a "martyr" status.


         🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Another_productive_week;_Sunday_already!⦈_


There are several names_for_this_phenomenon, which was studied in political
spectra in particular. Why did Julian Assange get so widely feared and/or
revered? What propelled him to fame? Think about it for a moment. From
Wikipedia:


  🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇A_martyr_(Greek:_μάρτυς,_mártys,_'witness'_stem_μαρτυρ-,
     martyr-)_is_someone_who_suffers_persecution_and_death_for_advocating,
 renouncing,_or_refusing_to_renounce_or_advocate,_a_religious_belief_or_other
                   cause_as_demanded_by_an_external_party⦈_


4 years ago Renata Avila (Mr. Assange's close friend and ally) wrote_in
relation_to_Dr._Stallman (RMS): "Some people taking part in the mob lynching
RMS for sure hate his guts. Because he is “weird” and they think he is
“creepy,” because he doesn't obey to any of the social conventions of our
times, because he isn’t considerate towards them, etc. Anti-conformists,
anarchists and neuro-divergent people often face this kind of hate. Some take
part because they want to get the social credit of being on the side of
“justice.” Maybe they fear that such lynching could happen to them as well, so
they hope they are buying their place in “paradise” by encouraging and fueling
the mob. (Historical examples may actually prove otherwise...) But most
importantly, what many of the lynchers hate is Richard’s uncompromising way of
defending Free/Libre software, therefore his way of pointing out their own
contradictions."


For lack of an analogy: (comparing phenomena, not people)


  🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇How_the_Hillary_Clinton_campaign_deliberately_“elevated”
                 Donald_Trump_with_its_“pied_piper”_strategy⦈_


The latest_public_talk_from_RMS (in Italy) was attended by almost 500 people
despite it being announced at very short notice (a weekend) and scarcely
advertised. The post below is hours old. RMS wrote to me, boasting that the
room wasn't even big enough and many people waited for him outside (after the
talk). Mob tactics may have unintended_consequences. █


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Throwback_to_2005:_that_is_me_on_the_right_(yes,_with_hair!)
  twenty_years_ago_meeting_Richard_Stallman,_the_founder_of_the_Free_Software
                  movement_and_creator_of_the_GNU_Project.⦈_


This past week:


   1. 2025-08-04 03:27 Gemini_Links_04/08/2025:_Qubes_OS_and_Curious_crypto
      case_of_certificates_(CCCC)
   2. 2025-08-04 03:28 IRC_Proceedings:_Sunday,_August_03,_2025
   3. 2025-08-04 03:29 Over_at_Tux_Machines...
   4. 2025-08-04 03:46 It_Looks_Like_Managers_at_Oracle_Now_Use_LLM_Slop_to
      Write_Blog_Posts
   5. 2025-08-04 04:37 Protecting_GNU/Linux-Centric_Journalism_From_Serial
      Sloppers
   6. 2025-08-04 04:53 In_Spain,_Microsoft's_Search_Engine_Market_Share_Fell_to
      2%
   7. 2025-08-04 05:40 "For_Five_decades;_For_freedoms;_For_all_users"_
      (Original_EMACS_Turns_50_Next_Year)
   8. 2025-08-04 05:53 Groklaw_Static_Site_Relaunches_With_New_Theme,_But_Many
      Pages_and_All_the_Comments_Are_Missing
   9. 2025-08-04 06:14 Links_04/08/2025:_80_Years_Since_Last_Nuclear_War,_IPv6
      in_China
  10. 2025-08-04 06:40 Microsoft's_Stock_is_Like_a_Religion,_Microsoft_Goes
      Into_'Hiding'_(From_Shareholders)
  11. 2025-08-04 15:49 Gemini_Links_04/08/2025:_Misiamisia_and_Mobile_Linux
  12. 2025-08-04 15:50 Links_04/08/2025:_Very_Bad_Weather_and_Travel
      Restrictions_in_China
  13. 2025-08-04 16:35 Flagging_or_Tagging_Slop_That_We_Find_Online
  14. 2025-08-04 17:24 Microsofters'_Lawyers_Are_Name-calling_and_Insulting
      Microsoft_Critics,_Even_Their_Spouses
  15. 2025-08-04 17:32 In_Many_Countries_Vista_11_Adoption_Stalled_or_Became
      Negative
  16. 2025-08-04 19:17 Microsoft_and_Windows_Have_Many_Back_Doors,_But_LLM_Slop
      Keep_Claiming_That_Linux_Has_"Backdoor"
  17. 2025-08-05 01:19 Microsoft_Layoffs_Continue_in_August_2025
  18. 2025-08-05 01:37 Dr._Andy_Farnell_Explains_How_Google_Turned_From
      "Librarian"_Into_"Oracle",_Telling_Us_What_to_Think_Instead_of_Where_to
      Look
  19. 2025-08-05 01:46 The_Register_MS_Links_to_the_Wrong_statCounter_Page
  20. 2025-08-05 01:59 ChatGPT_in_Trouble
  21. 2025-08-05 02:05 IRC_Proceedings:_Monday,_August_04,_2025
  22. 2025-08-05 02:06 Over_at_Tux_Machines...
  23. 2025-08-05 02:12 Gemini_Links_05/08/2025:_Zombie_Threat_and_Switching_to
      NixOS
  24. 2025-08-05 02:30 About_a_Quarter_of_Today's_"linux"_News_in_Google_News
      Came_From_One_Domain_and_It's_a_Slopfarm
  25. 2025-08-05 04:41 Mongolia:_Microsoft_Windows_at_All-Time_Low
  26. 2025-08-05 04:53 Shouting_is_an_Indication_of_a_Lack_of_Convincing
      Argument
  27. 2025-08-05 05:00 Why_We_Also_Include_Gopher_Links_in_Our_Gemini_
      (Protocol)_Links
  28. 2025-08-05 05:15 Microsoft_Windows_Fell_to_19%_"Market_Share"_in
      Montenegro
  29. 2025-08-05 05:42 When_The_Register_MS_Says_"Linux_Backdoor"_It_Actually
      Talks_About_Malware
  30. 2025-08-05 06:24 Tesla's_Debt_More_Than_Doubled_in_2_Years_and_the
      Company_Will_Operate_in_the_Red_(at_a_Loss)_Quite_Soon
  31. 2025-08-05 06:27 The_Debian_Language_Police_Department_(PD)
  32. 2025-08-05 06:51 IBM_is_Shutting_Down_(Piecewise)
  33. 2025-08-05 07:08 Rumours_of_Mass_Layoffs_at_Red_Hat_Next_Week_(August
      11th,_2025)
  34. 2025-08-05 09:06 Links_05/08/2025:_Samsung_and_Microsoft_Layoffs
  35. 2025-08-05 12:31 Links_05/08/2025:_Hey_Hi_(AI)_Passing_Fads_and_GAFAM
      "Embracing_the_Military"
  36. 2025-08-05 15:00 Slopwatch:_WebProNews,_LinuxSecurity,_and_Some_Success
      Stories
  37. 2025-08-05 15:16 Introducing_Mission:Libre_and_FreeXR_(and_BreakXR)
  38. 2025-08-05 15:20 Some_Cola_Formulas_Aren't_Secret,_But_the_Barrier_is_the
      Branding
  39. 2025-08-05 16:14 The_Register_is_Desperate_for_Money,_According_to_The
      Register_[updated]
  40. 2025-08-05 16:23 The_Register's_Editor_in_Chief_(Who_Left_for_Google)
      Told_Me_"AI"_Was_a_Bubble,_But_Now_The_Register_Gets_Paid_to_Participate
      in_Inflating_This_Bubble
  41. 2025-08-05 16:34 Gemini_Links_05/08/2025:_Lagrange_v1.18.6,_No_Stagnation
      in_Geminispace,_and_Fake_Coding_(Slop)
  42. 2025-08-05 17:05 Microsoft's_Washington_Layoffs_Aren't_Everything,
      They're_Definitely_Not_Happening_in_Just_One_State_in_the_US
  43. 2025-08-05 17:23 Zimbabweans_Aren't_Into_Windows_or_Microsoft
  44. 2025-08-05 17:42 Geminispace_Promises_Simplicity_But_Also_Provides_a
      "bunch_of_forums_that_get_flood-filled_by_agitation_against_the_very
      essence_of_Gemini_itself"
  45. 2025-08-05 17:58 Calling_Plagiarism_"Intelligence"_is_Pure_Genius,
      Brilliance!
  46. 2025-08-05 18:16 Stricter_Enforcement_of_Worker_Adjustment_and_Retraining
      Notification_(WARN)_Act_is_Sorely_Needed
  47. 2025-08-05 18:33 Shortly_After_a_Microsofter_Took_Over_The_Register_as
      Editor_in_Chief_Microsoft_Tim_(Tim_Anderson)_is_Back_and_It's_Still
      Microsoft_Propaganda,_Sometimes_Funded_by_Microsoft
  48. 2025-08-05 18:57 IRC_Turns_37
  49. 2025-08-05 20:43 Microsoft_v_Planet_Earth
  50. 2025-08-05 20:53 The_Inflammatory_Influence_of_Social_Control_Media
      Giants
  51. 2025-08-05 21:05 Gemini_Links_05/08/2025:_Opel_Zoo_near_Frankfurt_and
      Alhena_5.2.5
  52. 2025-08-05 21:16 On_"Tragedy_of_the_Commons_in_the_Production_of_Digital
      Artifacts"
  53. 2025-08-05 21:31 Openwashing_Slop..._Using_Slop!
  54. 2025-08-06 02:19 IRC_Proceedings:_Tuesday,_August_05,_2025
  55. 2025-08-06 02:22 Over_at_Tux_Machines...
  56. 2025-08-06 02:42 Windows_All-Time_Lows,_Android_All-Time_Highs_in_Kuwait
  57. 2025-08-06 03:04 Gemini_Links_06/08/2025:_BitTorrent_and_Feedly_Bots
  58. 2025-08-06 03:32 Richard_M._Stallman_Has_Published_AI_Memos_Since_1980_
      (45_Years_Ago)
  59. 2025-08-06 04:07 Microsoft_is_Apparently_Sending_Gag_Orders_or_NDAs_to
      Staff_That_Got_Laid_Off_(“We_were_told_not_to_post_on_LinkedIn._Not_to
      say_anything.”)
  60. 2025-08-06 04:21 New_"US_Editor_for_The_Register"_is_80%_Microsoft_and
      Windows
  61. 2025-08-06 04:34 The_Mainstream_Media_Talks_About_Spotify_Share_Price_and
      Price_Hikes,_Not_Its_Debt_Increasing_by_About_33%_in_Just_12_Months
  62. 2025-08-06 05:11 Apple's_iOS_Bigger_Than_Microsoft_Windows_in_Many
      Countries
  63. 2025-08-06 05:27 66_Countries_Where_More_People_Use_iPhones_(or_iPads)
      Than_Microsoft_Windows,_According_to_statCounter_Data
  64. 2025-08-06 05:51 A_Blow_for_Patent_Ambitions_of_Bill_Epsteingate
  65. 2025-08-06 05:58 Staying_Productive
  66. 2025-08-06 06:19 How_to_Quadruple_Your_"Goodwill"_Value_and_Grow_Your_
      (Wall)_Street_"Value"_From_$152B_to_$4000B_Without_Producing_a_Single
      Successful_Product/Service
  67. 2025-08-06 06:34 They_Want_You_To_Talk_About_Trump_or_'The_Other_Bill'_in
      Relation_to_Trafficking_of_Underage_Girls_for_Sexual_Exploitation
  68. 2025-08-06 06:50 Ask_Google_(Jeeves)
  69. 2025-08-06 07:10 Microsoft's_Favourite_Pay-to-Say_'Analyst'_Firm_Has_Just
      Collapsed
  70. 2025-08-06 07:32 FOSSY_2025_Conference_Safety
  71. 2025-08-06 11:50 Links_06/08/2025:_Faked_Values_of_Slop_Companies_and
      Government_Bailouts
  72. 2025-08-06 18:54 Gemini_Links_06/08/2025:_Pinephone,_Reverse-Engineering,
      and_More
  73. 2025-08-06 18:56 Links_06/08/2025:_Substack_in_Trouble,_Slop_Sceptic
      Shira_Perlmutter_Seeks_Emergency_Injunction_Pending_Appeal
  74. 2025-08-06 19:02 Red_Hat_Layoffs_Expected_in_5_Days_(Monday)
  75. 2025-08-06 19:35 Slopwatch:_Slow_Day_for_LLM_Slop,_Serial_Sloppers_Still
      at_It_in_Their_Slopfarms
  76. 2025-08-06 20:04 August_Hits_Microsoft_Hard:_Dead_Divisions,_Dead
      Products,_Layoffs_Again_(on_Week_1)
  77. 2025-08-07 02:41 IRC_Proceedings:_Wednesday,_August_06,_2025
  78. 2025-08-07 02:42 Over_at_Tux_Machines...
  79. 2025-08-07 05:14 IBM_is_Obliterating_Fedora
  80. 2025-08-07 05:38 Microsoft,_Already_Borrowing_3_Billion_Dollars_a_Month,
      is_Trying_to_Cause_Many_People_to_Resign
  81. 2025-08-07 05:58 Gemini_Links_06/08/2025:_Replacing_a_Pocket_Watch_and
      Buying_in_Bulk
  82. 2025-08-07 06:12 Slopfarms_Are_Typically_Fake_News
  83. 2025-08-07 06:36 Non-Free_JavaScript_Programs_in_Banks_Aren't_Even_the
      Biggest_Problem
  84. 2025-08-07 07:13 Criticising_Social_Control_Media_in_Social_Control_Media
  85. 2025-08-07 07:48 Quit_Perpetuating_the_Narrative_of_Gemini_Protocol
      'Dying'_(It's_False)
  86. 2025-08-07 08:10 They_Want_Activists_to_Just_Barely_Walk_and_Eat,_Not_Do
      Activism_Anymore
  87. 2025-08-07 09:31 The_Register_MS_Does_More_Microsoft_Sez_or_GitHub_Sez_
      (Says)_Pieces
  88. 2025-08-07 09:51 OSS_Didn't_Always_Mean_Open_Source_Software
  89. 2025-08-07 11:30 Links_07/08/2025:_Apple_Makes_False_Promises,_More
      Trouble_for_Microsoft
  90. 2025-08-07 13:42 GAFAM_'Says'_is_Front_Page_"News"
  91. 2025-08-07 14:25 For_the_First_Time_in_a_Month_OSI's_"OpenSource.org"
      Blogs_and_It's_Basically_a_Microsoft_Blog_Post_(Microsoft_Controls_OSI)
  92. 2025-08-07 15:05 Gemini_Links_07/08/2025:_"Right_To_Manage"_and_LoRa
      Analysis
  93. 2025-08-07 15:06 Links_07/08/2025:_Hardware_Wars,_Mass_Recall_of_Colgate
      Total_Clean_Mint,_More_Microsoft_Holes_Found
  94. 2025-08-07 18:11 Once_a_Site_About_BSD_and_GNU/Linux,_and_After_Months_of
      Silence,_LinuxBSDos.com_Comes_Back_Only_as_a_Slopfarm
  95. 2025-08-07 18:21 Read_Us_in_Geminispace_as_Well
  96. 2025-08-07 19:35 Links_07/08/2025:_US_Punishes_India_Instead_of_Russia,
      Attacks_Law_Firms_to_Prevent_Scrutiny
  97. 2025-08-08 00:53 Gemini_Links_08/08/2025:_KDE/Qt_Development_and_What's
      Missing_From_"Retro"
  98. 2025-08-08 01:13 The_Register_MS_Promotes_Microsoft_Slop,_Assumes_All
      Readers_Use_Microsoft_Windows
  99. 2025-08-08 01:22 When_Google's_Googlebombing_of_"Gemini"_Was_Not_Enough;
      They_Now_Also_Googlebomb_"Gemini_Space"?
 100. 2025-08-08 01:26 Fake_'Linux'_Articles,_Written_by_Bots_to_Take_Traffic
      Away_From_Real_Articles
 101. 2025-08-08 01:47 IRC_Proceedings:_Thursday,_August_07,_2025
 102. 2025-08-08 01:49 Over_at_Tux_Machines...
 103. 2025-08-08 02:32 Struggling_to_Cut_Costs,_Microsoft_Continues_Shutting
      Down_and_Cancelling_Stuff_This_Month
 104. 2025-08-08 02:38 Censorship_Regarding_Red_Hat_Layoffs
 105. 2025-08-08 02:54 Microsofters_Filed_Two_SLAPPs_Against_Us,_Now_They
      Cannot_Keep_Up_With_Judges'_Orders
 106. 2025-08-08 03:29 It's_a_Lot_Easier_to_Participate_in_the_Unethical_System
      Than_to_Oppose_Injustices_in_It
 107. 2025-08-08 03:49 Why_Gemini_Protocol_Has_a_Bright_Future
 108. 2025-08-08 06:45 Good_Morning,_Readers_of_The_Register_MS
 109. 2025-08-08 07:59 Links_08/08/2025:_"Quit_Facebook"_and_High_Cost_of
      Microsoft/Windows_Shown_Again_("BlackSuit")
 110. 2025-08-08 11:12 Red_Hat's_Latest_Talent_Hunt,_Day_Ahead_of_Mass_Layoffs,
      is_Yet_Another_Microsoft_Executive
 111. 2025-08-08 15:32 Gemini_Links_08/08/2025:_Cracking_a_Family_Member's
      Password_and_Overdose_of_Slop
 112. 2025-08-08 16:36 Links_08/08/2025:_China_King_of_Plastics_and_US_Dictator
      Plans_to_Meet_Russian_Dictator
 113. 2025-08-08 17:10 Slopwatch:_LLM_Sloppers_in_Google_News,_LinuxSecurity,
      and_More
 114. 2025-08-09 00:35 Gemini_Links_09/08/2025:_Water_Painting_and_Political
      Violence
 115. 2025-08-09 01:49 IRC_Proceedings:_Friday,_August_08,_2025
 116. 2025-08-09 01:50 Over_at_Tux_Machines...
 117. 2025-08-09 02:13 Besieged_by_Plagiarists_Who_Play_With_LLMs_and_Image
      Fusions
 118. 2025-08-09 02:26 Microsoft_Lunduke_is_Just_Provoking_People_for
      Provocation's_Sake
 119. 2025-08-09 02:58 Informal_Open_Letter_to_the_Lawyer_of_the_Microsofters_
      (on_Who's_Funding_the_SLAPPs_Against_Techrights)
 120. 2025-08-09 03:21 Hate_Mail_From_Anonymous_Cowards
 121. 2025-08-09 05:25 There_Are_Probably_Over_a_Million_Pages_in_Geminispace
 122. 2025-08-09 05:55 The_Register_MS:_We_Know_Slop_is_a_Bubble_and_Mindless
      Hype,_But_We_Get_Paid_to_Participate
 123. 2025-08-09 06:41 Eventually_UEFI_'Secure_Boot'_Will_be_Dropped_(Users
      Will_Demand_Its_Removal_and_Boycott_Its_Pushers)
 124. 2025-08-09 07:06 Most_of_Geminispace_Can_Probably_Fit_on_a_CD-ROM_or_a
      DVD_(the_Textual_Part)
 125. 2025-08-09 08:06 After_Shutting_Down_Studios,_Divisions,_Applications_
      (e.g._Skype)_Microsoft_is_Also_Shutting_Down_'Apps'
 126. 2025-08-09 10:21 Links_09/08/2025:_Apollo_13_Astronaut_Jim_Lovell_Dies,
      Slop_Future_Bleak
 127. 2025-08-09 13:27 Gemini_Links_09/08/2025:_Rethinking_Aliases_and_Posting
      on_Gopher_vs._the_Web
 128. 2025-08-09 15:40 Follow_the_Money:_The_Register_MS_Gets_Paid_to_Promote
      "Hey_Hi"_Ponzi_Scheme/Hype,_Some_Fake_'Articles'_Might_Be_Composed_by
      LLMs_Already
 129. 2025-08-09 16:36 Slopwatch:_Linux_Journal,_LinuxSecurity,_and_Google_News
      With_Its_Slopfarms_of_Choice
 130. 2025-08-09 17:02 Seductive_Mirage_or_Allure_of_Complex,_Proprietary
      Coffee_Machines_(or_Similar_White_Elephants)
 131. 2025-08-09 17:51 Links_09/08/2025:_Putin_Allegedly_to_Visit_Alaska_(Which
      He_Deems_Part_of_Russia),_Mike_Tyson_Sued_for_Copyright_Infringement
 132. 2025-08-09 18:31 The_Goal_of_Coopetition_Assumes_You're_Friends
 133. 2025-08-09 18:57 The_Hype_That_Microsoft_and_The_Register_MS_(Among
      Others)_Promote_Helps_Stage_DDoS_Attacks_on_Free_Software_Sites
 134. 2025-08-09 19:21 Sales_of_Windows_on_PCs_(Windows_Licences)_Go_Down
 135. 2025-08-09 19:55 Is_Red_Hat_About_to_Give_the_Boot_to_GNOME_People_Who
      Helped_Microsoft_'Secure'_(Monopolised)_Boot?
 136. 2025-08-09 20:37 The_Register_MS_(Microsoft)_or_The_Register_AI_(Slop)?
    * The_Man_Who_Helped_Microsoft_Kill_Linux_is_Trying_to_Delay_Our_Lawsuits
      Against_Him
    * IBM's_Strategy:_Cull_'Expensive'_Workers,_Replace_Them_With_Cheaper_Ones


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

                    ䷩ 𝚕𝚒𝚗𝚎 1486

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

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⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ IRC Proceedings: Saturday, August 09,
2025⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Aug 10, 2025


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


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


                                              #techrights_log                                                                                           #boycottnovell_log


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


                                         #boycottnovell-social_log                                                                                        #techbytes_log


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


                          Enter_the_IRC_channels_now


    * The_Register_MS_(Microsoft)_or_The_Register_AI_(Slop)?
    * Over_at_Tux_Machines...


⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠛⠿⢿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶
⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠋⠙⠓⠛⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣧⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⢀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠻⠛⣻⣿⡿⣿⣿⣿⣿⣿⢩⡿⢯⣿
⣿⣿⣿⡄⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡻⢁⠄⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠻⢛⡛⣿⡷⣿⣷⣴⡉
⠿⣿⣿⡇⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⡟⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠑⠀⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠳
⣶⣾⠟⠁⠀⠀⠀⠀⠙⢻⣿⣿⣿⣿⣿⡄⢸⣿⣿⣿⣿⣿⣿⣿⡿⠹⠃⠈⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⡀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣡⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⠻⣿⣿⣿⣿⣿⣿⣧⡏⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡏⠁⠀⢻⣿⣿⣿⢿⣿⢸⠃⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢀⣦⠐⠇⠀⠀⠀⠀⠀⠀⠙⠿⢿⣄⡀⠀⠈⢿⣿⣿⣾⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀
⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠈⠓⠃⠀⣼⠉⠀⠀⠸⣿⣿⣿⣿⣶⣄⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢻⣿⣷⠀⠀⠀⠀⠀⠀⠀⣿⡀⢸⡇⠀⠀⠀⠀⠹⣿⢀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⣿⣆⠀⠀⠀⠀⠀⠀⠈⣧⣤⣤⣤⣤⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡉⠁⠀⠀⠀⠀⠉⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣸⣿⣿⣦⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣀⠀⠀⡦⡀⠈⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠁⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠆⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⢿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿
⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⡟⠋⠋⠻⣿⣿⡿⠟⠁⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠏⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⠟
⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⡿⠉⠀⠀⠀⠈⠋⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣥⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⠀⠀⠀⠀⢀⣴⣿⣿⣿⡿⠟⠁⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣷⡍⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⣰⣿⣿⣿⡿⠋⠀⠀⠀⠀
⣩⣿⣿⣿⣿⣿⣿⣅⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⣤⣤⡀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀
⣿⠟⠋⢡⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠄⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⣴⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠏⠙⠉⢹⣿⣿⡿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⢰⣿⣿⢿⡃⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⡆⡰⠀⠀⠀⢉⣁⢔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢫⠿⣷⡄⠀⢀⣤⠬⠓⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣷⣄⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⠎⠀⠀⠀⠒⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷
⠀⢀⣀⣠⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⣡⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣴⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣶⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣯⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠉⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣶⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣶⣄⣀⣾⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⣀⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⣰⣶⣶⣆⣀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⢹
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣉⣤⣴⣶⣿⣿⣿⣿⣿⠁⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⡀⣠⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠏⡿⠛⠛⠛⠃⠀⠀⠀⠀⣀⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣼⣿⣿⣿⣿⣿⣿⡏⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡶⠂⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⡿⣿⢹⣿⣿⡇⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⡿⠟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡏⣿⡇⣿⡿⣿⢸⣧⣿⢸⣿⣿⣿⣿⢿⣿⣿⠋⠀
⣿⣿⣿⣿⣿⣿⠿⠟⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡏⣿⡇⣿⣧⣿⡧⣿⡇⣿⢸⡏⣿⢸⣿⣿⠟⠁⠀⠀⠀⢀⣤
⡿⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠊⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⢸⣿⡇⣿⡇⣿⣷⢿⣿⣻⣷⣿⡇⣿⢸⡇⣿⢸⠟⠁⠀⠀⠀⠀⠀⠿⠟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⢻⣿⡟⣿⣇⣿⣿⢸⣿⢸⣿⢸⣿⣿⡇⣿⢸⡇⣿⢨⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣶⠶⣦⣤⣀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣏⣿⣿⡿⣿⣿⢸⣿⡇⣿⣿⢸⣿⡇⣿⣿⢹⣿⣸⣿⣸⣿⢸⣿⢸⡇⣿⢸⣷⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠈⠙⠛⠶⠄⠀⢸⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⢸⣿⣿⢿⣿⡷⣿⣿⣼⣿⣿⢻⣿⡟⣿⣷⢿⣿⢸⣿⡟⣿⡇⣿⡾⣿⣸⣿⣿⡾⣿⢿⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⣠⢿⣿⣿⣿⣿⣿⣿⡇⣿⣿⡞⣿⣿⢸⣿⣿⢸⣿⡇⣿⣿⢸⣿⡇⣿⣿⢸⣿⡟⣿⡇⣿⡇⣿⡇⣿⣿⣿⢸⡇⣿⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⢛⣿⣿⣿⣿⣿⣷⢹⣿⡇⣿⣿⡏⣿⣿⡘⣿⣷⢹⣿⡆⣿⣿⢸⣿⡞⣿⡇⣿⣷⣿⣧⢿⡇⣿⡿⣿⢸⡇⣿⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠸⡿⣿⣿⣿⣿⠸⣿⣿⢸⣿⣇⢻⣿⡇⣿⣿⢸⣿⡇⢿⣿⢸⣿⡇⣿⣧⢻⣿⢸⠿⣾⣇⢻⡇⣿⢸⡇⢿⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠘⢿⣿⣿⣿⡇⣿⣿⡌⣿⣿⢸⣿⣧⢹⣿⡇⣿⣿⢸⣿⡇⣿⣇⢻⣿⢸⣿⣸⠀⠋⢹⢸⡇⣿⡄⣇⢸⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠌⢋⢯⣿⣧⢸⣿⣇⢿⣿⡆⣿⣿⢸⣿⡇⢿⣿⡘⡿⠓⠛⢿⢸⡿⣼⠋⣹⠀⡇⣸⢸⡇⢹⡇⣿⢸⡆⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⡈⢦⠸⢽⣿⡈⣿⣿⢸⣿⣇⢻⣿⡆⣿⣿⢸⣿⡟⠁⣴⣤⠾⠎⠀⣸⠆⢸⣧⡞⣿⠈⣿⢸⡇⣿⠘⡇⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡘⣿⡇⢻⣿⡄⣿⣿⢸⣿⡇⢿⣿⡘⣿⠁⠘⠛⡅⠀⣄⢀⡴⣴⡇⢿⡇⠿⠇⠿⠘⠇⢹⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 1740

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/08/10/Over_at_Tux_Machines.shtml
    Gemini version at gemini://gemini.techrights.org/n/2025/08/10/Over_at_Tux_Machines.gmi

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


posted by Roy Schestowitz on Aug 10, 2025


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇CH-53E_Super_Stallion⦈_


⚓  Updated This Past Day⠀⇛


   1. ⚓ Linuxiac_Apparently_Tackled_the_LLM_Slop_Problem [original]⠀⇛


           We are now going to link to Linuxiac (as before)


      ⚓  New⠀⇛


   2. ⚓ Debian_13_"Trixie"_Released,_This_Is_What’s_New⠀⇛


           Exactly 2 years, 1 month, and 29 days after the release of
           Debian 12 “Bookworm,” Debian 13 “Trixie” is now here


   3. ⚓ Debian_13_“Trixie”_Is_Now_Available_for_Download,_Here’s_What’s_New⠀⇛


           The Debian Project released today the final version of the
           Debian 13 “Trixie” operating system, a major release that
           brings new features, updated components, and numerous other
           improvements.


   4. ⚓ GNU/Linux_and_BSD_Leftovers⠀⇛


           mostly GNU/Linux, as usual


   5. ⚓ DRM_and_Fake_Security_as_Attack_Vector_Against_Games_on_GNU/Linux⠀⇛


           2 new stories


   6. ⚓ Free,_Libre,_and_Open_Source_Software_Leftovers⠀⇛


           FOSS picks


   7. ⚓ Standards/Consortia:_OpenDocument_Format_(ODF),_HTTP,_EU's_New_Radio
      Equipment_Directive,_and_More⠀⇛


           a handful of new articles


   8. ⚓ Security_Leftovers⠀⇛


           Security picks


   9. ⚓ GNOME_49_Backlight_Changes,_GNOME_Foundation_Report,_and_This_Week_in
      GNOME⠀⇛


           new in GNOME


  10. ⚓ Open_Hardware/Modding:_Framework,_SBCs,_and_2025_One_Hertz_Challenge⠀⇛


           some hardware picks


  11. ⚓ Applications:_Image_Editors,_RapidRAW,_Himitsu,_Istio⠀⇛


           Software news


  12. ⚓ today's_howtos⠀⇛


           Instructionals/Technical picks


  13. ⚓ Fedora_and_Red_Hat_Leftovers_(Hype,_Fake_'Studies'_Ahead_of_Rumoured
      Monday_Layoffs)⠀⇛


           mostly RedHat.com


  14. ⚓ GCC_15.2_Released⠀⇛


           by Richard Biener


  15. ⚓ HandBrake_1.10_Open-Source_Video_Transcoder_Brings_New_“Social_10MB”
      Presets⠀⇛


           HandBrake 1.10 was released today as a major update to this
           free and open-source video transcoder application for
           converting between a multitude of video file formats.


  16. ⚓ GNU/Linux_and_More⠀⇛


           leftovers for today


  17. ⚓ Android_Leftovers⠀⇛


           Android 17 codename: Our survey reveals your top dessert choice


  18. ⚓ MariaDB_12.0_Lands_with_InnoDB_Fixes_and_Expanded_Platform_Support⠀⇛


           MariaDB 12.0 open-source RDBMS is out, fixing InnoDB and
           replication issues


  19. ⚓ 3_Ways_to_Test_a_Linux_Distro_Without_Using_a_USB_Drive⠀⇛


           You might think that booting a Linux live USB is the only way
           to test a distro out on your computer


  20. ⚓ 6_mistakes_I_made_when_choosing_a_Linux_distro_for_my_PC⠀⇛


           There are approximately 600 actively maintained flavors of
           Linux available


  21. ⚓ PeaZip_10.6_Introduces_Dynamic_Virtual_Mode,_Improves_Archive_Pre-
      Parsing⠀⇛


           PeaZip 10.6 has been released today as the latest stable
           version of this open-source, free, and cross-platform file and
           archive manager, a release that introduces new features and
           various enhancements.


  22. ⚓ Best_Free_and_Open_Source_Software⠀⇛


           This is free and open source software


  23. ⚓ This_Week_in_Plasma:_quick_toggles_in_System_Settings⠀⇛


           Every week we cover the highlights of what’s happening in the
           world of KDE Plasma and its associated apps like Discover,
           System Monitor, and more


  24. ⚓ Games:_Steam_for_Chromebook,_OpenLinkHub,_and_More⠀⇛


           latest from GamingOnLinux


  25. ⚓ Linux_Mint_22.1_Xia_Cinnamon_review_-_Reasonable,_rounded⠀⇛


           Mint 22.1 Xia is a pretty reasonable distro. I like the
           consistent approach to ordinary users having a stable


  26. ⚓ Today_in_Techrights⠀⇛


           Some of the latest articles


  27. ⚓ openSUSE_Linux:_20_Years_Strong⠀⇛


           Novell’s plan to launch a community-driven Linux distribution
           based on SUSE, and it would be called OpenSuSE


  28. ⚓ MocaccinoOS_v1.8.4⠀⇛


           MocaccinoOS v1.8.4 release


      =========================================================================
      The corresponding text-only bulletin for Saturday contains all the text.
    * IRC_Proceedings:_Saturday,_August_09,_2025
    * Gemini_Links_10/08/2025:_Gen_Con_2025_and_Framework_Laptop


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⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⢀⣿⣿⣧⡀⠀
⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⠛⣿⣿⣿⣿⣿⣿⣿⠃⠀⣼⣿⣿⣿⣷⡀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⢿⣿⡟⠀⣰⣿⣿⣿⣿⣿⣷
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣛⡿⠿⠟⢡⣥⠄⠐⢠⠌⠀⠀⠀⠀⠐⠂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠉⠉⠁⠈⠉
⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢟⣛⡛⠛⠻⠿⠿⢿⣿⣿⠛⠻⠿⠿⠷⠿⠚⠛⠛⠛⠛⠛⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⢀⣠⣤⡤⢄⣀⣀⣤⣤⣶⣶⣤⠀⡀⣤⡜⡆⠀⠀⠀⠀⠀⠀⠀⠀⣶⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⣴⣤⣤⣤⣶⣶⣦⣴⣶
⠀⠀⢀⣀⣀⣀⣤⣤⣤⣤⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠃⠈⠛⠛⠋⠉⠙⠛⠿⡿⠿⠇⡇⠀⠀⠀⠘⠃⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⢀⣀⠂⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣭⣍⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣁⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣇⠀⠒⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠁⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡆⠀⠀⠀⠉⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⡿⠀⠀⢸⠂⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⢿⣤⣤⠾⠿⢺⣿⣿⣿⠃⢠⠀⡼⠀⠀⠀⠀⠀⢠⢰⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠿⠟⠃⠀
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢗⠊⠻⣷⠀⠀⠀⡄⣿⠀⠀⠀⠢⡀⠀⠀⠀⠀⠠⠄⡀⣴⣶⣶⣶⣶⣶⣶⣶⣦⣴⣤⣤⣤⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣄⠀⢠⠟⠓⢤⣀⣀⣿⠀⠀⠀⠀⠙⣶⣿⠀⡔⠂⠁⠊⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣇⣀⣀⣀⣀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠃⠀⠀⠀⠀⠉⠡⠀⠀⠤⠄⠀⣼⣷⣿⡿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡟⠛⠛⠉⢻⣿⠏⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⠀⠀⠀⠀⠸⡄⠀⠀⠀⣼⣏⣽⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⡟⢹⣿⣿⣿⡻⠃⠀⠂⠀⠀⠸⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⢷⣄⡀⠀⠀⠉⠢⠤⢀⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⡏⢸⣿⢻⣀⠀⣄⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠁⠀⠈⢻⣷⣶⣶⣦⣤⣼⣿⣿⣿⣿⣿⣗⡀⢀⣽⣿⣿⣿⣿⣤⣼⣿⣶⣷⣶⣶⣶⣶⣶⣶⣶⣿⣦⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⠋⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠙⢿⣿⣿⣿⣿⣿⣿⣿⠃⠀⣤⠀⠀⠀⠀⠀⠀⢹⣿⣇⣀⣸⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣠⣿⣿⣿⣿⣿⣿⣷⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹
⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢠⡰⣿⣿⣿⣿⣿⣿⠀⢀⣿⡀⠀⢠⡀⠠⣂⠘⣿⣿⣿⣿⢈⣹⣷⣿⣿⣿⣿⠏⢿⣿⣿⣿⡟⠛⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸
⠀⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⢸⣿⣮⠻⣿⣿⣿⣿⡄⢸⣿⠇⠀⢸⠃⠀⣿⣶⣼⠿⠿⢿⣯⣍⣾⣿⣿⣿⠟⠀⠘⣿⣧⣾⣧⣤⣽⣿⣿⣭⣭⣠⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠘⠛⠛⠳⠙⣿⣿⣿⣷⣿⠃⠀⠀⣾⡇⠀⢻⣿⣿⣿⣶⣾⣽⡿⡿⣿⡿⠏⠀⠀⠀⢻⡿⠿⠿⢿⣿⡿⠿⠛⠁⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠈⠙⠿⢿⣿⣿⣿⣿⣿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠀⠀⢸⢿⡇⠈⠿⠿⠿⠏⠀⠀⠀⠀⠁⠈⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 1985

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/08/10/Simpler_is_Better_When_Simple_is_Enough.shtml
    Gemini version at gemini://gemini.techrights.org/n/2025/08/10/Simpler_is_Better_When_Simple_is_Enough.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Simpler is Better When Simple is
Enough⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Aug 10, 2025


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Emacs⦈_


Over-complicating things to "sell" new versions is so_1990s.


This past week we served about 100,000 requests per day in Gemini Protocol,
plus another ~20,000 in the sister site (capsule). There's no doubt the number
of users - set aside capsules (they too grow) - is increasing. Many people come
to our IRC network not because they found the Web site but because they read
the_Gemini_capsule.


To those of us who prefer things simple,_noise-free,_and_easier_to_maintain a
real need is filled by Gemini Protocol, which we've used for over 4.5 years so
far.


Parts of what we wrote yesterday praised modularity, citing UNIX and noting its
considerable age. As an example of bloat I used or cited WordPress. We included
many references and quotes at the bottom and it seems "some quotes tacked on at
the end" could be expanded upon or, to paraphrase an associate, perhaps the
quotes could be worked into the body. We're instead doing a separate, more
detailed post about it.


The simple example I like to use when speaking to people is that of a word
processor, which virtually everyone has used at some point (schools teach
pupils how to use these at a relatively young age). In order to write some
short letter, which is a very common use case, why would anyone want an
expensive, bloated program? Using LATEX is hard for the "average user", but
there are so many lightweight programs one can use to produce a letter. In many
cases, a plain text E-mail is also enough for composing a letter.


There is a push, however, to get rid of simple programs and frameworks like C,
calling_them_"insecure"_(because_they_are_simple), instead offering people a
bunch of bloated programs which themselves contain many security holes. Then,
instead of teaching people to code better (programming and building better
systems with better practices), they try to sell us slop as "code" and even
come up with buzzwords such as "vibe coding", which creates a maintenance
nightmare, set aside bugs and performance problems.


At this stage it's hard not to sympathise with the rants of Microsoft Lunduke,
who typically complains about Rust for all the wrong reasons (calling many
things "Woke" where the technical details alone make a better argument). The
MElonazi page of Microsoft Lunduke:


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


I looked into Rust in the past. I tried to build it on the laptop. It was a
catastrophe. It was a circus. See, for most people the idea of using Rust
ignores the hundreds of megabytes of cruft which almost nobody bothers building
(revisit "Rewriting_Things_in_Rust").


People like to ignore the mess, dismissing it as "mere details" (abstracted
away).


Back in the 1990s the "framework" we needed to program could easily fit on a
margin or 'corner' of one floppy disk, complete with editor, compiler, and
basic libraries. Can't we do this again? Of course we can, but that would not
give Microsoft GitHub control over us.


Beware the promise of "modern" things; those people want you to buy a brand new
Intel PC to run an expensive program to write a letter. The last thing they are
willing to tolerate is billions of people exercising control over their
computers, which have been functional for decades and have programs built to be
compatible with decades-old systems. If the latest GTK or Qt demand hardware
acceleration of some kind, maybe we're heading in the wrong direction, based on
someone else's interests. █


    * Links_10/08/2025:_From_Social_Control_Media_to_Prison,_New_Examples_of
      Windows_TCO
    * What_They_Tell_Young_Programmers


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

                    ䷩ 𝚕𝚒𝚗𝚎 2213

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/08/10/Sloppy_Reporting_About_Slop_or_How_The_Register_MS_Lowers_Its_S.shtml
    Gemini version at gemini://gemini.techrights.org/n/2025/08/10/Sloppy_Reporting_About_Slop_or_How_The_Register_MS_Lowers_Its_S.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Sloppy Reporting About Slop, or How The
Register MS Lowers Its Standards⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Aug 10, 2025,
updated Aug 10, 2025


His profile has a typo on the second word:


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇His_only_article_ever_is_Microsoft_LLMs_when_he_joined:_Matt
  is_editor_in_chief_of_The_Register_and_its_sibling_titles._He_is_a_veteran
 technology_journalist,_having_served_as_global_managing_Editor_of_techCrunch,
 editor_in_charge_of_technology_and_climate_coverage_for_CNBC,_founding_editor
 of_CITEworld_for_IDG_Enterprise,_and_exeuctive_editor_at_Business_Insider._He
  was_also_an_analyst_at_Directions_on_Microsoft_from_2000-2010,_and_got_his
                           start_at_CNET_in_1995.⦈_


From the front page today:


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


Also in the front page right now:


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


New paid-for (spam) articles aside, this is is also in the front page:


   🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Why_rapid_proliferation_of_cloud_native_apps_requires
                       faster,_more_efficient_toolsets⦈_


That's further down in the front page, and is detected as slop:


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Slop_or_fake:_Cloud_native_environments_provide_the_elastic
 infrastructure_needed_to_handle_the_demanding_computational_resources_of_AI⦈_


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Slop_or_fake:_Agility_and_faster_innovation:_The_modularity
  and_automation_offered_by_cloud_native_practices_enable_faster_development,
     testing,_and_deployment_of_AI_applications,_accelerating_the_pace_of
                                 innovation.⦈_


More from the same sponsored 'article':


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Slop_or_fake:_NKP_is_a_full-featured_solution_for_deploying
  and_managing_Kubernetes_clusters_across_various_environments,_including_on-
 premises_environments,_edge_locations,_and_public_clouds._Key_assets_included
                           in_the_new_NKP_package⦈_


If the structure alone isn't a giveaway (Microsoft LLM), use a scanner:


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


The Register MS, now led by Matt_the_Microsofter (who brought_in_more
Microsofters), seems to be already gravitating not just towards slop marketing
(which it_gets_paid_to_do). They may already be using slop to write about slop.
Maybe the management isn't even aware of this. So in a sense we are perhaps
helping them catch cheaters on the payroll. █


    * IBM's_Strategy:_Cull_'Expensive'_Workers,_Replace_Them_With_Cheaper_Ones
    * Links_10/08/2025:_From_Social_Control_Media_to_Prison,_New_Examples_of
      Windows_TCO


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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠛⠛⠛⣿⢻⠋⠀⠀⠀⠀⠀⠀⠃⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢻⣿⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢻⣇⣇⠀⠀⠈⣾⣧⣤⣤⣤⣀⣛⣻⣿⣿⣿⣿⡿⢿⣿⠿⣿⡿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⡿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢾⣷⡀⠀⠀⢿⣿⣿⣿⣿⣿⣿⢿⠉⠿⠛⠈⠁⣼⣿⣿⣿⣷⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣶⣖⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠘⠇⠀⠀⢸⣿⣿⣿⠿⠋⠁⢰⠧⠼⠀⣠⣾⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡷⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠈⠛⠋⠀⠀⠀⠀⠀⠀⠀⠛⢿⣿⣿⣿⣿⢇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠉⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⢀⠀⠠⠀⠀⠀⠘⣿⣿⣿⣿⣿⣆⠈⠛⠛⠿⠿⠿⠶⠾⠿⠿⠿⠟⠛⠁⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠀⠠⡴⠞⠛⠀⠀⠀⠀⠀⠀⠟⣿⣿⣿⠘⢹⣬⣶⣶⣆⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⣤⣤⣤⠀⠀⢸⠒⠐⢿⣿⣿⠋⠀⣀⠈⠈⠀⠀⠀⠄⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣷⣤⣿⣿⣿⣤⣤⣤⣤⣤⣼⣿⣥⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⣥⣤⣤⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢏⡚⡇⣟⠏⡏⢹⢱⡇⣿⠨⢜⠢⡇⠅⣿⢹⢸⣇⠶⡈⠏⡏⢽⢩⠛⣊⠇⣿⢩⠏⣿⢸⠹⣹⡇⢝⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣪⣜⣇⣼⣜⣦⣱⣜⣆⣃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⣿⣿⡿⣿⡿⣿⢿⢿⢿⡿⡿⣿⣿⣿⠿⣿⣿⣿⢿⠿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣾⣧⣵⣷⣾⣿⣼⣿⣧⣮⣼⣿⣧⣼⣾⣿⣯⣤⣤⣿⣇⣼⣿⣧⣼⣿⣤⣿⣷⣦⣿⣧⣤⣷⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⢻⡟⢻⣿⠋⣿⡏⢹⢻⣻⣿⠻⣿⡟⠹⡟⡏⢻⢻⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣥⣿⣿⣬⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣧⣤⣴⣴⣤⣾⣼⣸⣧⣼⣿⣻⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⢛⡻⡿⢿⡿⡿⡟⡿⠟⣿⡿⢿⠿⢿⡿⢿⠿⢿⠻⢻⠿⢿⣿⢟⢿⢻⣿⠿⢿⠿⡿⡿⠿⠿⣿⡿⡿⡿⢿⣿⠛⠿⠿⠿⡿⠿⠿⣿⠟⡟⠿⡿⠿⣿⡿⢿⢿⢿⠻⢿⠿⢿⠿⡿⢿⠿⡟⡿⢿⢻⠿⢿⢛⢻⣿⣿⣿
⣿⣘⣫⣔⣣⣇⣃⣇⣜⣃⣿⣙⣘⢘⢸⣘⣺⣸⣸⣘⣸⣘⣻⣟⣬⣜⣸⣿⣚⣩⣁⣳⣡⣇⣓⣿⣇⣃⣗⣩⣿⣸⣰⣇⣃⣇⣇⣇⣿⣇⣇⣇⣇⣓⣿⣄⣻⠎⣼⣘⣸⣘⣺⣸⣜⣻⣸⣇⣖⣹⣸⣚⣹⣗⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣴⣷⣷⣏⣿⣾⣾⣾⣾⣾⣷⣮⣾⣽⣾⣿⣵⣷⣿⣯⣭⣾⣮⣿⣿⣿⣵⣷⣿⣯⣼⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣼⣽⣭⣭⣿⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣽⣽⣽⣯⣽⣿⣿⣿⣽⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣽⣭⣿⣿⣭⣿⣽⣭⣿⣽⣽⣿⣿⣯⣭⣿⣴⣭⣯⣏⣬⣯⣽⣯⣽⣿⣿⣭⣯⣿⣽⣯⣽⣽⣭⣯⣭⣽⣝⣿⣽⣽⣯⣭⣿⣿⣯⣹⣜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡏⠭⢹⠹⢛⢹⡟⢟⠿⣛⢻⡟⡋⣛⠿⠛⣿⡿⡙⣿⣿⡟⡛⡟⡟⡟⡛⣻⠛⠟⢛⢟⣻⣻⡟⡟⠟⡏⡛⡻⠟⣿⢹⠛⢿⠛⡟⡋⡟⠛⡟⡻⢛⣿⣟⠻⠛⡟⠻⣿⢹⠟⢻⢙⢙⢹⢛⢻⢛⢻⣿⢙⢹⣿⣿⣿⣿
⣿⣧⣷⣼⣴⣬⣼⣧⣿⣔⣉⣼⣧⣥⣿⣴⣭⣿⣧⣶⣼⣿⣧⣥⣧⣥⣧⣧⣿⣬⣧⣿⣼⣽⣽⣿⣼⣴⣧⣧⣇⣼⣿⣼⣬⣥⣥⣥⣥⣧⣭⣧⣯⣥⣿⣧⣥⣼⣧⣭⣿⣼⣬⣽⣼⣬⣼⣼⣼⣈⣸⣿⣼⣼⣿⣿⣿⣿
⣿⡟⡍⡿⡿⡿⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣧⣧⣧⣥⣧⣴⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⠿⡿⢿⠿⢿⡿⢿⡿⣿⢿⢿⠿⢿⠿⢿⢿⣿⢿⠿⠿⡿⣿⣿⡿⣿⢿⢿⠿⣿⡿⣿⡿⣿⠿⡿⣿⠿⣿⢿⢿⠿⢿⠿⣿⡿⠿⡿⣿⢿⣿⠿⡿⣿⢿⡿⢿⡿⡿⡿⡿⣿⢿⡿⡿⢿⠿⡿⡿⢿⠿⠿⡿⡿⣿⣿⣿
⣿⣧⣷⣮⣬⣬⣼⣶⣵⣥⣿⣴⣽⣶⣼⣼⣷⣼⣷⣼⣤⣧⣦⣯⣿⣦⣷⣽⣴⣥⣤⣯⣾⣤⣿⣯⣾⣧⣯⣮⣼⣿⣥⣶⣼⣧⣤⣬⣧⣽⣶⣽⣽⣤⣾⣤⣾⣽⣯⣧⣯⣮⣾⣼⣧⣷⣿⣼⣤⣧⣷⣬⣧⣧⣬⣿⣿⣿
⣿⣏⣶⣿⣿⣭⣴⣼⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣷⣴⣼⣯⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣼⣾⣯⣼⣶⣤⣿⣶⣶⣶⣷⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣯⣿⣯⣿⣯⣮⣿⣯⣬⣿⣯⣷⣿⣥⣧⣽⣿⣧⣭⣧⣼⣦⣦⣼⣬⣵⣼⣦⣯⣤⣥⣧⣦⣥⣦⣬⣤⣿⣷⣥⣤⣴⣤⣮⣼⣥⣷⣤⣥⣬⣦⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡿⡿⢿⢿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⡟⢻⣿⣿⣿⣿⣿⣿⡟⣟⡟⣻⣿⣿⣿⣿⣿⢿⣻⣿⣿⣿⣿⣿⣿⣿⡟⣻⣿⣿⡟⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⠿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣷⣁⣌⣸⣸⣸⡎⣸⣿⣰⣇⣁⡇⣇⣇⣇⣇⣸⡇⢸⣸⣸⣔⣇⣇⣇⣇⣇⣅⣇⣞⣈⣸⣸⣸⣸⣢⣰⣆⣿⣅⣇⣇⣿⣇⣓⣂⣇⣗⣀⣘⣸⣸⣸⣿⣰⣆⣠⣘⣐⣇⣆⣡⣅⣅⣿⣠⣘⠀⣇⡇⣇⣇⣅⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⡿⣿⣿⣿⣷⣿⣿⡿⢿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣷⣿⣿⣿⣿⣿
⣿⣿⡇⣽⠑⢹⠱⢹⠸⠇⡇⡏⡎⠊⡯⡊⣿⡇⡎⠀⠯⠒⠇⢞⢑⢹⢰⢿⣿⢸⢹⢸⠱⠏⡏⡎⠊⣿⡏⠊⡇⣶⢸⢸⠱⢽⢘⠑⢹⢱⢹⠰⣿⠰⡋⠎⡏⠮⡃⡯⡊⡏⠊⡇⠮⠒⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡏⢿⣿⠟⠛⢻⣿⡟⠟⠛⢿⢻⣿⣿⠛⠋⠛⠻⡟⣿⣿⣿⢿⣿⣿⠛⠛⠛⡿⡽⢹⠿⣿⣿⢻⠏⢻⡛⢻⡟⣿⡟⡟⠛⡟⣿⣿⣿⠛⠟⠙⠛⣟⣿⣿⣿⣿⠛⢻⠛⣟⣿⣿⣿⣟⡛⡟⡟⢿⣿⣿⠹⠛⣿⣿⡽
⣿⣿⣿⠿⡿⠟⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣷⣿⣷⣶⣶⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⢿⣿⡿⡿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⢿⣿⡿⣿⣿⣿⡿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣷⣿⣿⣿⣿⣿⣿⣾⣷⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣾⣷⣾⣿⣿⣿⣾⣿⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡿⡿⡿⡿⣿⢿⢿⢿⢿⢿⡿⡿⡿⡿⢿⡿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⢿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣷⣿⣷⣿⣶⣿⣾⣿⣷⣷⣿⣿⣿⣾⣷⣿⣿⣶⣿⣿⣾⣷⣿⣶⣽⣿⣶⣿⣿⣶⣾⣿⣮⣾⣶⣾⣿⣷⣷⣿⣶⣷⣶⣿⣾⣾⣮⣷⣶⣿⣶⣾⣾⣧⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠉⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⠟⠟⠿⢿⣿⡿⠻⣿⡿⣿⢿⠿⠿⠿⠿⠿⢿⣿⣻⡿⣻⣿⡿⠿⡿⣿⣿⣿⢿⠿⠿⣿⡿⠿⠿⡿⠛⠋⠙⠛⡧⠀⢺⠿⠂⠀⠿⡿⣿⣿⡿⠿⠟⡿⢟⡻⠟⣿⣿⠿⢿⡿⠿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣾⣶⣦⣿⣷⡷⣷⣿⣷⣶⣿⣶⣶⣶⣾⣶⣾⣿⣿⣷⢿⣿⡷⣶⣷⣾⣿⣿⣾⡶⢶⣿⣿⣶⡞⠀⣴⣶⣷⡀⠐⣆⠀⢤⣶⣶⣶⣾⣿⣿⣶⣶⣶⣷⣿⣷⠶⣿⣿⣮⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣥⣿⣤⣤⣤⣥⣿⣿⣦⣤⣾⣿⣴⣦⣤⣤⣿⣿⣷⣽⣤⣯⣾⣿⣿⠇⠀⠀⢠⡄⠀⢿⣴⣤⣥⠀⠱⢥⡾⠀⢀⣾⣄⣠⣯⣵⣿⣯⣧⣼⣿⣻⣿⣿⣮⣿⣤⣽⣤⣤⣧⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣹⣻⣿⣩⣋⣏⣉⣉⣟⣿⣿⣹⣟⣈⣙⣸⣏⣹⣁⣉⣽⣋⣟⣙⠁⠐⠛⠐⠈⠩⡀⠈⣛⠝⠁⢣⣠⣀⣠⣀⣉⣫⣉⣝⣏⣋⣉⣉⣇⣏⣁⣉⣹⣉⣩⣏⣟⣿⣿⣻⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢿⢛⠿⡟⢿⣿⠛⡟⠛⠛⠛⠛⡟⡝⣿⢟⢟⠛⠛⠛⣿⢛⠓⡤⠤⡖⠆⠀⢷⠀⣀⣤⣶⡾⣻⢟⣻⣿⢿⡟⢻⡏⣭⡟⡿⡻⠙⣻⣿⠻⣟⡟⣛⡟⠛⣻⡽⣻⣿⡟⢿⡻⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡿⡿⣿⣿⣿⡿⡿⣟⢿⣿⣿⡟⣿⠿⢿⠿⣿⡿⡟⣿⡿⣿⣿⣄⣀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣷⣷⣶⣶⣾⣷⣷⣿⣿⣿⣾⣿⣷⣿⣷⣶⣾⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⢿⠿⢿⠿⡿⣿⣿⣿⡿⠿⢿⢿⠿⢿⢿⠿⣿⠿⡿⣿⠿⠿⡿⠿⠿⠿⠿⠿⡿⡿⠿⣿⢿⡿⡿⠿⡿⢿⡿⠿⠿⡿⢿⢿⠿⡿⠿⠿⣿⠿⡿⠿⠿⡿⡿⢿⣿⡿⣿⢿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣷⣿⣷⣶⣶⣾⣿⣾⣿⣧⣷⣶⣶⣾⣾⣿⣶⣷⣾⣿⣿⣷⣷⣿⣾⣶⣷⣶⣦⣿⣷⣷⣶⣿⣿⣿⣿⣷⣾⣿⣿⣾⣾⣿⣿⣿⣿⣾⣶⣾⣿⣷⣾⣷⣾⣿⣿⣾⣾⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣷⣯⣧⣤⣤⣴⣿⣿⣾⣴⣴⣴⣤⣾⣾⣮⣾⣤⣤⣤⣾⣵⣧⣤⣴⣷⣷⣷⣮⣤⣤⣼⣾⣺⣵⣤⣶⣷⣿⣮⣤⣴⣵⣷⣼⣤⣶⣵⣿⣿⣦⣶⣼⣾⣿⣬⣿⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣛⣫⣉⣙⣽⣝⣭⣹⣯⣿⣉⣛⣍⡉⢹⣩⣫⣯⣫⣉⣹⡍⢹⣋⣙⣯⣯⣯⣯⣭⣭⣿⣽⣹⣉⣽⣽⣽⣝⣽⣉⣉⣍⣯⣯⣍⣉⣹⣍⣉⢍⣯⣫⣍⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡿⣿⠿⠿⡟⠻⠿⡿⠿⠿⢻⠻⠿⡿⠿⢿⠻⠿⠿⠿⠿⠿⠻⠿⠿⣿⡿⠿⢿⣿⣿⠿⢿⢿⣿⣿⣿⠿⠿⣿⣿⣿⠿⠿⠿⠿⣿⡿⢿⠿⠛⣿⣿⣿⣿⡿⢿⢿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣷⣿⣶⣦⣷⣶⣵⣷⣶⣶⣾⣶⣶⣶⣾⣿⣶⣶⣶⡶⣷⣶⣶⣶⣶⣿⣿⣶⣿⣿⣿⣶⣶⣾⣾⣿⣾⣶⣷⣿⣿⣿⣷⢶⣶⣶⡿⣷⣿⣶⣾⣿⣿⣿⢿⣿⣿⣾⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣼⣽⣿⣯⣤⣼⣿⣽⣤⣤⣯⣿⣤⣧⣥⣿⣿⣼⣬⣤⣶⣽⣮⣤⣤⣤⣾⣿⣿⣮⣬⣼⣿⣹⣯⣤⣬⣼⣿⣿⣥⣤⣽⣿⣦⣤⣼⣤⣿⣮⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣙⣻⣻⣉⣟⣏⣉⣉⣹⣿⣩⣋⣏⣏⣉⣋⣉⣿⣻⣇⣏⣹⣉⣉⣫⣹⣉⣸⣿⣿⣝⣭⣙⣻⣫⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡿⣿⣟⠿⢿⡿⣿⣿⠿⡿⣿⠿⠿⢻⠛⠿⢿⠟⠿⢻⡿⣿⣟⡻⠿⣿⢿⢿⠿⠿⣿⢿⡿⠿⢿⢿⣿⣿⢿⠿⡿⠿⢿⣿⡿⠿⡿⣿⣿⣿⣿⠿⡟⠿⣿⡿⢿⡿⠻⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣾⣷⣾⣶⣶⡿⡾⣷⣷⣶⣶⡾⣶⣶⣶⣶⣷⣿⣶⣿⢷⣶⣾⣷⣶⣾⣶⣶⣾⣾⣶⣾⣾⣶⣿⣾⣷⣾⣾⣶⣷⣷⣷⢷⣾⣿⣷⣿⣾⣶⣶⣾⣷⣿⣾⣶⣶⣷⡾⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣽⣼⣽⣮⣿⣷⣤⣿⣿⣵⣷⣴⣼⣿⣮⣶⣦⣧⣷⣵⣾⣼⣧⣿⣿⣮⣮⣿⣯⣧⣥⣮⣾⣯⣦⣴⣽⣵⣿⣿⣵⣵⣧⣼⣴⣿⣵⣴⣤⣾⣿⣼⣿⣮⣽⣤⣵⣥⣴⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣩⣯⣮⣭⣧⣫⣫⣿⣻⣿⣽⣯⣿⣭⣤⣹⣿⣯⣿⣍⣭⣭⣝⣽⣿⣿⣹⣿⣿⣯⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠗⠀⠸⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿
⣿⣿⠂⠐⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠐⠒⠒⠒⣶⣶⣶⣶⣶⣶⣶⠶⣦⣶⣶⣶⠀⢠⣶⣦⣄⠀⢢⠀⠠⣴⣶⣶⣶⣶⣶⣶⣶⣦⣶⣶⣶⣶⣶⣦⣴⣶⣶⣶⣴⣦⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣿⣿⣉⣉⣁⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⠉⠉⠉⠉⢁⠀⢉⣉⣉⣉⡀⠈⠉⡉⠉⠀⣈⣁⣀⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠠⠀⠀⠠⠄⠀⢻⠿⠟⠻⣦⣄⣠⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠤⣴⠦⠀⢸⡄⣀⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠶⠶⠶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠉⠉⠉⠀⠉⣯⣿⣬⣿⣿⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⠿⣿⠛⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠉⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣯⣭⣯⣭⣭⣭⣭⣭⣭⣭⣽⣭⣍⣽⣭⣽⣽⣭⣭⣭⣯⣭⣭⣯⣽⣯⣭⣽⣭⣽⣭⣭⡭⠋⠋⠙⠩⣥⠀⢨⠭⠂⢀⣍⣉⣭⣭⣭⣭⣭⣯⣭⣯⣭⣭⣭⣍⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣿⣿⣿⢿⣿⣿⢿⡟⠀⣴⣿⢶⡀⠘⣆⠀⢤⣴⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣟⣚⣊⣓⣋⣘⣀⣃⣁⣘⣂⣀⣀⣙⣂⣂⣃⣀⣘⣑⣀⣐⠛⠃⠙⠠⡄⠀⢤⣪⣴⣄⠀⠠⢤⡼⠂⢀⣴⣄⣠⣴⣇⣧⣤⣥⣤⣴⣾⣴⣤⣤⣧⣤⣥⣼⣤⣦⣧⣤⣴⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣯⣉⣩⣙⣝⣉⣏⣹⣝⣨⣉⣍⣿⣏⣉⣉⣿⣏⣉⣹⣋⠀⠀⠲⠀⠉⠇⡀⠈⣭⠏⠉⢁⣄⣀⣀⣤⣝⣩⣉⣉⣽⣏⣙⣏⣙⡙⣍⣇⣉⣛⣁⣈⣽⣉⣻⣉⣍⣻⢉⣉⣈⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡟⠋⢟⠟⠛⢻⣟⠝⡻⡟⠛⠻⠛⠛⢻⣿⠛⡿⠛⠛⠋⣦⣤⠀⡀⠀⠀⢃⠀⣀⠀⠴⣼⡿⠛⠛⡻⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⢻⡟⢻⢿⡻⡛⣛⢟⠛⡛⢻⠛⠛⣻⠻⣟⠻⠛⢛⠛⠛⠛⠋⠛⢻⠻⠛⠛⣻⣛⢟⡛⠛⢻⡟⢟⢻⡛⢻⡛⡟⠛⢛⢿⠛⡛⢻⣛⡟⠛⠛⡻⡛⡻⢛⢟⠛⣿⣻⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡟⡿⠿⡟⠿⡿⡿⠿⢿⠿⠿⡿⡿⠿⢿⣿⢿⠿⡿⠿⢿⠿⡿⠻⡟⢿⢿⢿⣿⢿⠿⠿⡿⠿⠿⠻⡿⠿⠿⢿⠿⣿⠿⢿⢿⠟⡿⠿⡿⢿⡿⠿⠿⠿⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣷⢶⣷⣷⣷⣷⣿⣷⣾⣶⣶⣾⣿⣶⣶⣷⣿⣶⣧⣾⣶⣶⣿⣶⣷⣶⣿⣶⣿⢶⣶⣷⣷⢶⢶⣾⣷⡶⢶⡾⣿⣿⣶⡾⣶⣶⣷⣵⣷⡾⣿⣷⣶⣶⣦⡷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣧⣄⣾⣤⣤⣴⣽⣤⣤⣼⣿⣤⣥⣤⣴⣤⣼⣧⣦⣤⣦⣭⣴⣼⣧⣤⣴⣥⣽⣤⣧⣾⣤⣤⣤⣮⣧⣤⣶⣤⣤⣧⣯⣤⣤⣽⣼⣄⣧⣴⣧⣧⣠⣤⣮⣥⣴⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣏⣉⣉⣫⣋⣍⣉⣹⣿⣏⣙⣟⣨⣏⣉⣿⣚⣠⣘⣟⣿⣿⣙⣯⣹⣉⣋⣩⣫⣉⣍⣹⣍⣋⣉⣸⣈⣩⣏⣃⣉⣽⣏⣹⣉⣏⣈⣉⣏⡩⣭⣽⣉⣍⣻⣛⣨⣈⣩⣇⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡟⢻⢟⠏⠛⣿⡿⢻⢏⢿⠋⠛⢛⠛⠛⠛⣻⠛⣻⠹⣟⠝⠋⠛⣻⡟⠛⠛⠻⡟⠋⠛⠻⠻⣟⠋⡟⠻⠻⡏⠿⠋⠹⣻⠻⡏⠛⡿⡛⣿⢻⠏⢻⡿⠻⠋⠛⠙⡛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⡿⠿⣿⡿⡟⡟⢿⡿⡿⡿⡿⡿⣿⣿⢿⠿⢿⡿⡿⡟⡿⡿⡿⢿⡿⣿⢿⡟⠻⠿⡿⢿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣾⣶⣾⣾⣶⣶⣷⣷⣾⣾⣶⣶⣾⣷⣿⣿⣶⣶⣿⣶⣾⣾⣶⣾⣷⣾⣷⣷⣶⣾⣷⣷⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣽⣧⣼⣤⣤⣥⣤⣮⣦⣤⣧⣵⣷⣵⣷⣷⣵⣽⣮⣾⣤⣤⣤⣤⣤⣤⣤⣤⣤⣧⣮⣾⣤⣼⣿⣧⣦⣴⣼⣆⣸⣤⣼⣮⣾⣶⣠⣤⣾⣵⣦⣧⣼⣴⣾⣷⣧⣧⣯⣮⣦⣬⣼⣻⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣯⡉⣍⣉⣩⡻⣏⣯⣫⣏⣿⣝⣍⣏⣉⣉⣯⣝⣍⣹⣉⣩⣫⣫⣏⣹⣝⣽⣉⣿⣩⣩⣉⣉⣯⣽⡹⣯⣛⢍⣍⡫⣩⣍⣝⢽⣏⣉⣯⣭⣫⣩⣭⣋⣭⣫⣏⣍⣟⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡟⠛⣻⣻⡛⠛⡛⣻⣟⠛⣛⣟⠟⡛⣻⡛⠛⠛⠛⣟⠟⠛⡛⡻⣻⡟⢛⣟⡻⠛⡛⢛⢿⠟⣿⣛⠟⢛⢛⣻⣟⠛⠛⢻⠻⡛⠛⢛⡟⣟⢟⡟⡟⣟⠻⠛⣟⠟⠛⡻⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡿⣿⠿⠿⠷⡾⠿⠾⢿⣿⠿⣿⠿⠿⠿⠻⡿⡿⣿⡿⠿⣿⣿⣿⡿⣿⠿⣿⣿⠻⢿⡿⡿⢿⠿⠻⠿⣿⢿⣿⢿⠿⠿⣟⡿⡿⢿⣻⠻⢿⠿⠿⡿⠻⠿⢿⠿⠿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡷⣷⡷⣶⣶⣾⣷⣧⣼⣿⣶⣿⢷⣶⣶⣾⣿⣷⣿⢾⠶⣿⣿⡿⣥⣤⣥⣬⣤⣤⣬⣭⣥⣥⣥⣤⣥⢭⣥⣭⣥⣤⣬⣯⣿⣶⣾⣽⣶⣶⣾⡶⣷⣶⣶⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣧⣥⣥⣤⣶⣾⣼⣤⣤⣯⣥⣤⣤⣿⣤⣤⣤⣰⣷⣭⣴⣦⣧⣴⣧⣤⣤⣤⣬⣽⣧⣤⣽⣥⣤⣼⣾⣴⣼⣴⣯⣦⣯⣤⣴⣤⣮⣧⣴⣼⣯⣤⣤⣽⣆⣸⣮⣧⣿⣥⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣏⣉⣉⣭⣹⢝⣏⣙⣏⣘⣉⣹⣩⠉⣯⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⢿⡟⢿⢻⢻⠿⡿⣿⡿⣻⠿⠿⢿⠿⠿⡿⠿⣿⣿⠿⠿⠿⡿⢿⢿⢿⣿⡿⢻⢿⢿⡟⢿⡟⣿⢿⠿⣿⢟⢿⢿⣟⣿⣿⡛⠿⢛⡿⡿⣿⡿⣿⠿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡷⢶⡷⡾⡶⣿⢾⡿⣶⡶⣶⠿⣶⢶⡶⣷⢿⡿⣷⡾⡶⣷⢶⣷⢿⠿⣿⠶⡶⡶⡷⢶⠷⠾⢿⠶⢷⡾⡶⡾⣾⡾⣿⢷⡿⣶⣷⣶⢾⡷⠷⣶⠷⢾⣿⣿⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣧⣶⣥⣦⣾⣷⣼⣦⣶⣯⣷⣤⣾⣴⣧⣽⣼⣧⣵⣤⣬⣿⣿⣶⣤⣼⣾⣬⣾⣯⣾⣵⣦⣧⣼⣴⣤⣾⣧⣧⣶⣯⣮⣾⣼⣶⣴⣧⣮⣧⣿⣶⣥⣴⣦⣿⣿⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣇⣴⣬⣦⣯⣦⣴⣵⣿⣬⣿⣮⣤⣦⣽⣤⣴⣼⣺⣶⣮⣴⣼⣬⣼⣷⣮⣼⣤⣤⣤⣼⣶⣥⣬⣤⣼⣮⣄⣦⣵⣽⣴⣥⣧⣻⣬⣯⣦⣽⣼⣼⣤⣤⣿⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣏⣻⣉⣉⣝⣩⣋⣹⣹⣝⣩⣩⣉⣽⣯⣽⣋⣉⣙⣍⣽⣹⣝⢉⣝⣙⣙⣍⣟⣋⣉⣹⣭⣽⣏⣍⣉⣹⣝⣝⣉⣩⡫⣟⣉⣩⣿⣉⣉⣩⣙⣍⣏⣝⣉⠍⣽⣍⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⢿⡿⡟⠿⠿⠿⠿⠻⠿⡿⠿⠿⢻⠿⠿⠿⠿⠻⠛⠻⠿⢿⢿⠿⠿⢿⠿⡿⠿⠿⣿⢿⠿⣿⠿⠿⠿⢿⠿⠿⠿⢿⠿⠿⢿⠿⢿⡿⠿⠿⡿⠿⡿⠿⠿⠟⠿⠿⠻⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣾⣷⣷⣶⡶⣶⣶⡶⣵⣷⣶⣶⣾⣴⣶⣶⣶⣶⣶⣶⣴⣾⣷⣶⣶⣾⣿⣾⣶⣶⣾⣷⣾⣿⣶⣾⣾⣷⣾⣶⡷⣾⣿⣷⣶⣾⣾⣷⣷⣶⡷⣶⣷⣶⣾⣶⣶⡶⣶⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣧⣤⣽⣧⣤⣼⣤⣼⣽⣤⣰⣤⣼⣤⣤⣯⣤⣤⣧⣿⣿⣽⣦⣤⣼⣼⣬⣥⣧⣤⣶⣧⣤⣤⣧⣴⣬⣿⣤⣥⣼⣤⣧⣤⣤⣤⣥⣧⣶⣦⣦⣤⣤⣯⣤⣤⣤⣤⣿⣦⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣇⣿⣷⣰⣇⣙⣏⣹⣿⣿⣋⣉⣈⣹⣟⣧⣋⣏⣋⣉⣉⣿⣋⣉⣨⣫⣏⣻⣫⣋⣏⣉⣸⣙⣿⣩⣍⣽⣝⣏⣉⣙⣿⣿⣙⣘⣝⣈⣙⣝⣏⣃⣍⣉⣩⣃⣉⣹⣟⣏⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡟⢛⠹⣿⡏⠿⢻⡛⠛⢻⢿⠛⠛⡋⠛⣛⠛⠛⡟⠛⢻⡟⢿⠋⡟⠙⠿⢻⠛⠛⢟⠛⠛⠹⢻⡿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⠿⢿⢿⡿⠿⢿⡿⠿⠿⣿⢿⢿⠿⡿⡿⡿⢿⡿⢿⡿⢿⡿⠿⢿⢿⢿⠿⡿⢿⡿⡷⠿⣿⠿⡿⡿⣿⢿⢿⢿⡿⠿⢿⣿⢿⠿⣿⠿⣿⣿⢿⢿⣿⣿⢿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣾⣿⣧⣤⣤⣴⣤⣦⣤⣤⣤⣴⣦⣾⣵⣵⣥⣿⣮⣷⣼⣮⣼⣮⣴⣦⣤⣼⣤⣤⣥⣼⣼⣾⣦⣶⣶⣬⣮⣶⣤⣴⣷⣽⣯⣧⣵⣵⣽⣤⣤⣽⣴⣶⣴⣵⣤⣶⣶⣮⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣧⣴⣵⣧⣾⣴⣦⣤⣤⣿⣦⣤⣶⣷⣶⣴⣷⣵⣬⣦⣦⣤⣿⣤⣼⣶⣬⣾⣤⣤⣦⣤⣷⣽⣧⣴⣵⣧⣬⣷⣵⣵⣤⣤⣴⣷⣧⣧⣌⣯⣦⣤⣵⣽⣤⣂⣷⣵⣦⣴⣜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣏⣉⣍⣩⣹⣉⣉⣭⣿⣽⣭⣉⣭⣿⣝⣍⣉⣉⣉⣍⣽⣉⣉⣉⣯⡋⢉⣉⣯⣯⣫⣝⣍⣋⣩⣍⣩⢻⣿⣯⣩⣿⣭⣉⣉⣹⣋⣿⣉⣉⣉⣯⣫⣯⣏⣉⣩⣿⣝⣉⣉⣉⣹⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡟⢛⣿⠟⣟⢟⢛⡻⡛⢛⡻⣟⡟⣻⢟⠛⣛⣛⡟⠛⣛⣻⡟⠛⠛⡻⡛⣛⢻⣛⣿⢻⠛⠛⡻⢛⠛⠛⠛⠛⡻⡛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⢿⣿⣿⣿⢿⣿⢿⠿⠿⡿⣿⣿⣿⠿⣿⣿⣿⢿⡿⡿⣿⡿⡿⡿⢿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣾⣧⣤⣤⣄⣾⣤⣴⣴⣧⣦⣦⣤⣤⣤⣧⣴⣯⣾⣷⣤⣤⣤⣤⣤⣽⣥⣴⣧⣧⣤⣧⣼⣤⣥⣦⣽⣧⣼⣦⣾⣬⣿⣿⣿⣴⣧⣼⣤⣤⣤⣷⣥⣧⣿⣤⣠⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣄⣇⣿⣓⣍⣁⣋⣉⣹⣉⣉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠿⠿⡿⠿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣷⣶⣶⣿⣿⣿
⣿⣿⣿⣿⣿⠿⠿⠿⢿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⠒⠚⡖⠒⠒⠒⢲⠒⢲⠒⠒⢲⠒⠒⠚⣖⠒⡒⠒⠒⠒⠒⠒⠒⢒⢲⠒⠒⠒⠒⠒⢒⠒⠒⠒⠒⢲⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢿⢿⣿⡿⣿⢿⣿⢿⣿⡿⢿⣿⣿⠿⣿⣿⣿⢿⣿⡿⢿⢿⠿⢿⢿⢿⣿⡿⣿⣿⣿⢿⣿⣿⣿⣿⡿⢿⡿⣿⣿⣿⣿⣿⡿⣿⣿⣿⡿⠿⣿⣿⠿⣿⡿⢿⣿⣿⢿⣿⣿⢿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⠶⠶⠾⠶⠲⠶⠖⠶⠶⠲⠶⠶⠾⠶⠲⠶⠶⠶⡞⠶⠶⡞⠶⠶⠒⠶⠞⠲⠲⢶⠖⠶⠲⠷⠲⠵⠶⠶⠲⠶⠶⠶⠶⠶⡷⠶⠦⠶⠶⠒⠒⠲⠶⠶⢶⠶⠶⠾⠲⠾⠖⠒⠳⠗⠢⠷⠿⢻⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣉⣉⣉⣉⣉⣋⣉⣉⣋⣉⣉⣉⣩⣉⣋⣉⣉⣉⣉⣉⣉⣹⣉⣉⣉⣉⣉⣋⣉⣉⣉⣻⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣏⣉⣉⣉⣏⣉⣉⣉⣉⣉⣉⣉⣉⣙⣉⣉⣉⣋⣉⣉⣙⣉⣉⣉⣹⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⠤⠤⠽⠿⢿⠿⠿⠿⠿⠿⡿⠿⠿⠿⠿⠿⠿⡿⢿⡿⠿⠿⢿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⡿⠿⠿⢿⠿⡿⠿⠿⠿⠿⢿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣂⣚⣑⣚⣚⣒⣐⣛⣛⡓⣙⢲⣚⡓⣒⣺⣚⣛⣛⣒⣐⣚⣘⣛⣒⣚⣐⣗⣖⣙⣛⣘⣘⣚⢒⣙⣲⣂⣳⣆⣚⣺⣚⣒⣚⣓⣚⢒⣂⡓⣛⣓⣚⣚⣙⣒⣛⣓⣓⣖⣓⣺⣂⣓⣲⣾⣾⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⠬⠬⠽⠬⠭⠭⠧⠤⠤⠯⠭⠥⠤⠥⠦⠬⠽⠬⡬⠭⠭⠭⠭⡭⠤⠬⡭⡭⠤⠤⢭⠬⡭⠭⠭⠭⠽⢭⠽⠤⠭⢭⠥⠭⠬⠭⡭⠽⠥⠥⡭⠧⠭⠯⠭⠭⠥⢭⠽⠭⠥⢭⢼⠽⠴⠿⢿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡒⠒⠒⠒⠒⠒⠲⠒⠒⠒⢲⠒⠒⠒⠒⠒⢶⠒⢳⠒⠒⠒⠒⠒⡖⠒⠒⠒⠒⢲⠚⠒⡗⠒⠒⠒⠒⠚⠒⠒⠒⡖⠒⠒⠒⡒⠓⠒⠚⡖⠒⠒⠒⠒⠒⠒⠒⠚⠒⠒⠒⠒⠚⠓⠒⢲⣾⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣉⡉⡉⣉⣉⡉⣉⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⣿⣿⣿⣿⣿⡿⣿⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠿⣿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⠖⠲⠖⡦⠶⠲⠔⠶⠲⢶⣐⠶⠶⠖⠶⠶⠲⠖⠲⡶⠶⠶⠲⠖⠶⢶⠶⠶⠞⠶⠲⠲⠒⠶⠖⠾⠖⠺⠶⠖⠖⠦⠶⠲⢶⠲⢲⠖⠦⠲⠶⠶⠖⡷⠶⠲⠶⠶⠶⠴⠶⠲⠲⠶⣶⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣛⣛⣛⣛⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠄⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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                    ䷩ 𝚕𝚒𝚗𝚎 2495

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/08/10/Slopwatch_LinuxSecurity_Brian_Fagioli_and_Other_Serial_Sloppers.shtml
    Gemini version at gemini://gemini.techrights.org/n/2025/08/10/Slopwatch_LinuxSecurity_Brian_Fagioli_and_Other_Serial_Sloppers.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Slopwatch: LinuxSecurity, Brian Fagioli,
and Other Serial Sloppers⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Aug 10, 2025


It's Sunday, hence slow news, but bots don't rest, nor do cheaters and
plagiarists. The online con artists like to spew words out, combined with slop
images, then call that "articles".


Here's the slopfarm LinuxSecurity:


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


Does not even remotely look like a real article. Bot spam.


The Serial Slopper Brian Fagioli heard Debian 13 got released and threw a robot
at it. Also LLM slop:


 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Slop_or_fake:_Debian_13_trixie_arrives_with_RISC-V_support
                          and_updated_Linux_kernel⦈_


Another slopfarm did the same:


  🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Slop_or_fake:_Debian_13_‘Trixie’_Released:_Linux_Kernel
                           6.12,_Boosted_Security⦈_


And ripped off Phoronix, as usual.


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Slop_or_fake:_Intel_Layoffs_Orphan_Key_Linux_Kernel_Drivers,
                               Exposing_Risks⦈_


  🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Slop_or_fake:_Bcachefs_Integration_in_Linux_Kernel_6.18
                              Hangs_in_Balance⦈_


Fake images, fake authors, fake text.


Welcome to the Web. Maybe Microsoft wants to dub this "Web5", knowing its slop
offshoot is rapidly running out of money and debt grows even faster due to
computation strain. All they have left is more buzzwords and hype, plus
"version+1" (version inflation). █


    * Gemini_Links_10/08/2025:_Residents_Management_Company,_Automation,_and
      Politics
    * next


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⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣲⠤⠀⠤⣾⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠲⠆⠀⠀⠀⠀⢰⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢠⠀⠀⠀⠀⣶⠀⠀⠀⣴⣶⡄⠀⠀⣵⣦⠀⠀⠀⠀⠀⠀⠀⢠⡭⡆⠀⠀⢰⣶⡄⠀⠀⣴⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⡆⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠛⠛⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠈⠉⠀⠀⠀⠈⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⠀⠀⢀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡄⠀⠀⢠⣤⣄⠀⢀⣠⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣦⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠘⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⣀⠄⠀⠀⠀⠀⠀⠉⠀⠀⠀⠘⠉⠁⠀⠀⠈⠙⠀⠀⠀⠀⠻⠂⠀⠀⠀⠀⠀⠀⠈⠙⢃⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣀⠀⠀⠀⠀⣤⠀⠀⠀⣠⣤⠀⠀⠀⠀⠀⠀⠀⢀⣤⡄⢰⠁⣸⣀⣁⠈⠂⠀⠠⠀⠀⠀⠀⠀⠀⠀⣼⣟⣛⢆⠀⢉⣤⣄⠀⠀⣠⣤⡆⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠉⠀⠀⠀⠈⠙⠀⠀⠀⠙⠛⠀⠀⠀⠀⠀⠀⠀⠀⠙⠃⠘⣄⣿⣷⣿⠠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠟⠛⠀⠀⠀⠛⠃⠀⠀⠈⠛⠇⠈⠃⠀⠀⠀⠀⠀⠄⠀⠀⠀⠈⠛⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣄⡀⠀⠀⢀⣀⡀⠀⠀⢠⠠⠀⠀⠀⢠⣌⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣶⣦⠀⠀⢠⣶⣮⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠉⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠸⣸⠹⡇⢏⣏⠻⢹⣯⣿⡆⣗⢕⣿⢸⢹⢹⣉⡇⡯⢽⣟⠏⣯⡏⡏⣏⢻⡹⣭⠟⠛⠉⠉⡇⠀⢰⠹⠇⠀⡇⡧⢕⡱⢗⣯⣥⢃⣿⡯⢻⢹⠉⠏⡏⢏⡹⢹⢹⡰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⢿⣿⡿⣿⣿⣿⡿⣿⢿⣟⣿⣿⣿⣿⣿⣿⢿⣿⣿⠁⣰⣶⣶⡄⠘⣇⠀⢠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣁⣇⣇⣜⣸⣧⣃⡇⣣⣔⣸⣘⣠⣣⣓⣇⣃⣿⣘⡇⠘⠘⠘⡀⠀⢻⣠⣣⣃⠀⠀⣇⣝⠂⢀⣿⣆⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠶⠶⠾⠿⡄⠈⣿⣿⠿⢳⣄⣀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣤⣤⠀⣱⡀⣀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⣀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣡⣿⣯⣽⣿⣰⣼⣧⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡖⠿⣶⣤⡀⠀⠀⠀⢀⣤⡤⣤⣄⠀⠀⠀⠀⠈⠀⠄⠈⠀⠂⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⣶⣿⣿⣿⣷⣦⣿⣿⣷⣶⣄⡻⣧⣤⡴⠏⠀⠀⠀⠀⠀⠀⠀⠈⠀⠂⢀⠀⠁⠠⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠊⠓⠿⣾⣹⣿⣿⣿⣿⣿⣿⡿⠟⠋⠀⣀⢂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠠⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⣿⣿⣿⠀⠀⠀⠀⣀⣴⣾⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⡿⠋⠉⠀⠀⠀⠀⠥⣨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠐⠀⡀⠈⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⣿⣿⣿⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠀⠀⠠⠀⠠⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⣿⣿⣿⠀⠈⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠑⡢⠦⠉⢀⠀⢀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⢀⠈⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⣿⣿⣿⠀⠀⠀⠀⠈⠙⠿⣿⣿⡿⠻⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡀⠉⠀⠀⠁⠈⢀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⣿
⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠘⢠⡀⡔⠃⠔⠁⢀⢠⠶⠂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠈⠀⠀⠈⠠⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠔⠈⠁⠠⠀⠊⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣀⣀⠀⠀⠀⠀⣿
⣿⣿⣿⣿⣠⣴⡤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⢒⢶⣂⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠊⠐⠀⠀⠀⠀⠀⠀⠀⠠⢠⡀⠀⠀⠀⡠⠀⠀⠀⠀⡀⠀⠀⡞⠉⠉⢻⣦⢀⡀⣿
⣿⣿⣿⣿⡯⣄⣽⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠱⢍⡮⢚⡇⡀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠊⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠥⠐⠀⠀⠀⠀⠀⠒⡀⠝⠓⡒⡛⢁⠙⠁⣿
⣿⣿⣿⣿⣾⣿⣿⣿⠿⡛⢷⣷⡦⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠉⠑⠽⣒⢝⡠⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠨⠁⠀⠀⣀⠀⠀⠀⢀⣠⠺⠿⠷⣱⣦⡄⠀⠀⠀⠀⠀⠀⠀⢔⠄⠀⠠⡀⠈⠀⠀⠀⠀⠀⣿
⣿⣿⣿⣿⠀⠙⠫⣵⣨⠵⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠖⠁⠀⠀⠀⠀⠀⠀⠠⢄⠀⠁⠀⠀⠀⠀⠈⠱⢗⢆⣀⡉⠻⠀⠟⣛⡛⠉⠀⠀⠀⠀⠀⠀⠀⢀⠐⡀⠈⠂⠀⠐⠀⠀⠀⠀⠀⣿
⣿⣿⣿⣿⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⡐⢀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠁⠋⢪⠒⠤⡈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿
⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⠀⣀⠤⠀⠁⢄⡀⠁⠂⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠋⠁⠈⠀⠀⠠⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⢲⠡⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⣿
⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠠⠀⠀⠀⠈⠀⠀⠀⠀⠄⠄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠑⠀⠀⠀⠀⠀⠀⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠀⠀⠀⠀⠀⠄⠠⢄⠀⠀⡀⠂⠀⣿
⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢀⠤⢾⣿⣤⣀⠀⠀⠂⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠀⠀⠀⠀⠁⠐⠈⠂⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠐⠁⠠⠀⠀⠀⠀⠀⠀⡀⠀⠑⠀⠀⠀⠀⠀⣿
⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠪⣵⣿⣿⣿⣿⣿⣷⣆⣀⠂⠐⠀⠀⢀⠠⠐⠀⡀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢂⡴⠄⠈⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠀⠀⠀⠀⠀⠀⠀⣿
⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣫⣵⠼⠋⠀⠀⠠⡐⠄⠀⠀⠀⠀⠐⢔⠀⠀⡀⠀⠀⠀⠀⠄⠀⠀⠂⠁⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⣿⠿⣿⣿⠿⢿⢿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣧⣏⢊⣼⣽⣽⢰⡁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠉⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣀⣄⣀⣀⣀⣀⣀⣀⣀⡀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⠛⢿⡆⠐⣿⠿⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⣈⣀⣀⣀⣀⣉⣀⣀⣈⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⠇⢠⣾⣿⣦⠀⢻⡀⠠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠛⢿⠀⠹⣿⣿⣿⡇⠈⢿⣿⡿⠀⢸⣷⣀⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⡿⡿⣿⢿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠲⠷⠶⠿⣧⠀⢻⣿⠿⠻⣦⣄⣀⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡤⣤⣤⠄⢸⣆⢀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣀⣀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⢻⢿⠏⡿⢿⣿⡿⡿⣿⡛⣿⠟⣿⣻⡟⡿⣿⡿⢿⢽⢿⣯⣿⢻⢻⡿⡏⢿⢿⡿⡿⣿⢿⡿⡏⣿⣿⢻⡯⢿⢿⢿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⣾⣮⣧⣵⣼⣼⣦⣧⣿⣧⣿⣵⣿⣿⣧⣧⣿⣧⣮⣼⣮⣿⣿⣴⣵⣭⣧⣮⣷⣥⣯⣼⣮⣷⣧⣿⣿⣬⣧⣼⣼⣴⣧⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢘⢼⢛⡏⡍⡟⢛⣻⢸⡏⡟⣿⡍⣯⢏⣿⣿⢐⢹⢻⡟⡝⣫⢯⡝⣟⣯⢸⡯⣛⠟⣝⢫⠛⡏⡟⡇⡍⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠟⠛⠛⠋⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣼⣿⣧⣤⣶⣶⣶⣶⣿⠿⠿⠿⠿⠛⠛⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢻⣿⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⠀⠀⣿⣷⣦⠄⠀⠀⠀⠀⣶⣾⠿⠿⠿⠿⠿⠟⠛⠛⠛⠛⠋⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠀⠘⠛⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⡀⠀⠀⠠⠤⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠉⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠐⠀⢀⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢀⢐⠀⠀⠀⠀⣀⠀⠀⠠⠤⠤⠤⠠⠴⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠦⡄⠀⣰⢀⣆⣀⢘⢀⣀⢠⣠⡀⠀⢀⠀⢀⠀⠀⠒⡆⠀⠊⢱⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢈⣀⠃⢼⢸⡞⡏⣸⣼⡴⢺⢸⢸⠇⠀⢸⢀⣹⠀⠀⠀⡇⠀⠈⢱⠀⠀⠀⠀⠀⠀⠀⠘⠓⠳⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠄⠀⠀⠈⠉⠈⠉⠁⠉⠈⠉⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⡠⣀⡀⡄⣤⠀⢀⡀⡄⠤⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⢙⣉⢁⢁⡈⠁⠁⠁⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠐⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⣀⡀⠀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⢠⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠀⠀⠀⢀⡀⡠⠠⠠⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠃⢉⠀⠀⠠⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠠⠀⠀⠀⠀⣀⢈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠠⠠⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⠿⣿⣿⠿⠿⢿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣧⡍⠌⣼⣿⣼⢠⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⢀⣀⣀⣀⡀⣀⣀⣀⡀⠀⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠛⢿⣆⠀⣿⠿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⣈⣀⣉⣉⣉⣁⣉⣉⣁⣀⣀⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢠⣾⣿⣦⠀⢻⡄⠀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⢿⡀⠘⣿⣿⣿⣇⠀⢿⣿⡿⠃⠸⣷⣀⣹⢿⣿⣿⣿⣿⢿⣿⣿⡿⣿⢿⡿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⢿⡿⠿⢿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠁⠰⠶⠶⠿⢧⠀⠹⣿⡿⠿⣦⣀⣀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣤⡄⢈⣆⠀⣀⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⢀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⡟⡻⢙⠛⠏⣿⢹⡟⠛⡻⡛⡛⣋⡋⡟⢻⡏⡍⡟⡛⡻⢙⢛⠛⢛⢻⡏⠫⡟⢻⠛⣿⢹⡏⡟⣻⢻⢛⢿⣿⠋⡝⠻⢛⢛⢻⠛⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⣷⣶⣶⣶⣿⣶⣶⣶⣧⣷⣶⣿⣷⣷⣾⣷⣶⣷⣧⣾⣾⣶⣶⣾⣾⣷⣷⣷⣾⣼⣿⣶⣶⣷⣿⣶⣶⣿⣿⣿⣶⣶⣾⣾⣾⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢇⡏⡏⡏⣙⠭⡏⡯⢹⢿⡇⠽⠉⡏⢽⡹⣩⢋⢹⠉⡏⠍⣿⢐⠌⡯⢹⢈⠯⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠶⠀⠶⠶⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣒⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣀⣠⣤⢠⣶⡢⡤⠄⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢀⡀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⠀⠀⠀⣀⣀⣠⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠉⠉⠁⠁⠀⠀⡀⡀⡠⣠⣤⣠⢠⠤⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⣄⢠⣤⣠⢤⣶⣵⠿⣾⠄⠛⠙⠐⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡈⡉⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣥⣶⣶⡆⠀⠀⢰⠲⠶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣢⢆⡶⢲⡾⡿⣻⡾⣾⠻⠾⠟⠱⠪⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⡇⠀⠀⢸⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠈⠈⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢴⣶⣴⡔⣴⣴⣤⡦⠤⠤⠤⠤⠠⠄⠤⠤⠠⠄⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶
⣿⣿⣿⣿⣆⢏⢋⡎⣓⡇⡝⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠋⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⢉⣉⠉⠉⡉⠉⢉⡉⠉⠉⢹⣿⣿
⣿⣿⣿⣿⣿⣿⣾⣷⣿⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠛⠿⣧⠀⢺⡿⠃⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠉⠈⠉⠉⠉⠁⠉⠁⠉⠀⢸⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣴⣿⣷⡄⠹⣆⠀⢤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⢻⡄⠈⢿⣿⣿⣷⠀⠻⣿⡿⠇⢀⣿⣄⣸⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠰⠿⠶⠿⢿⡀⠘⣿⡿⠿⢷⣤⣀⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣶⡄⠀⣷⢀⣀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⣀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠠⣋⢽⠉⡏⢽⠈⡏⢽⢸⠍⣿⢸⡍⡇⡋⢝⠍⣯⡏⢹⠈⡏⢝⢩⢻⢹⢩⣿⠸⠏⡏⣽⠹⡏⣹⡇⡕⡏⢽⣽⡍⡏⢽⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣿⡿⣿⠛⣿⢻⣿⠿⡿⢿⠿⠿⢿⡟⡿⢿⡖⡻⡿⢿⢻⢿⠿⣿⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣯⣿⣿⣤⣿⣼⣾⣤⣧⣿⣈⣤⣼⣧⣧⣼⣧⣧⣧⣼⣬⣼⣼⣤⣽⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠉⢀⠀⠀⠀⠀⠉⠛⠻⢿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠧⠀⢀⣴⣿⣿⣿⣿⣿⣷⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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                    ䷩ 𝚕𝚒𝚗𝚎 2726

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/08/10/Sometimes_Newer_is_Worse.shtml
    Gemini version at gemini://gemini.techrights.org/n/2025/08/10/Sometimes_Newer_is_Worse.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Sometimes Newer is
Worse⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Aug 10, 2025


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Floppy_disk⦈_ We generally need to reject this dumb notion
that "old" means bad


Yesterday I learned from a friend that he had silently lost old E-mail s(over 2
decades old). I still have E-mail messages from around that time (I seldom need
to look at these though) and I dread the idea of losing them without realising
this (due to disk/surface/storage device corruption). I've long made regular
backups and generally do my best to keep separate copies on separate devices. I
wrote a number of lengthy articles about it last month when I purchased a 8TB
"spinning rust" HDD.


One recurring theme in those articles was the durability and "endurance" of
various modalities, if that's even the right term to use (it is not). I don't
trust SSDs, I generally have a good experience with CD-ROMs (all the ones I
have from the 90s still seem to work flawlessly; some contain backups of my 90s
files).


Floppy disks are magnetic. I still have some diskettes lying about. I no longer
have a device that can read those.


We generally need to reject this dumb notion that "old" means bad. The
companies that push this narrative stand to gain from selling us more and "new"
as in recently-patented (i.e. more expensive) stuff. █


    * The_Code_Used_to_Make_Techrights_Fits_on_a_Seventh_of_a_Floppy_Disk_(or
      100KB_When_Compressed)
    * Links_10/08/2025:_Webrings,_“AI_Sunglasses”_and_“AI_Eyeglasses”,_US
      Administration_Intensifies_Attacks_on_Science_and_Research


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⣿⣿⣶⣶⣶⣿⡼⣿⣿⣿⣿⣿⣿⣿⡿⣟⢿⣾⣿⣿⣿⣿⣿⢷⣿⣿⣿⣿⣿⣾⣿⣷⣌⣻⢟⠛⣿⣿⡿⣻⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣧⢿⣽⣿⣿⣿⣏⣭⢶⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠔⣉⣉⣤⣾⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡿⣟⣯⣶⣷⣻⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣻⢿⣿⣯⣭⣭⣾⣿⣟⣤⡹⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣯⣬⣭⣯⡏⣼⣦⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣾⣿⣿⣾⣿⣿⣿⣿⣶⣷⣿⣿⡿⣽⡍⣝⣹⣿⣿⡻⠀⠀⣀⣀⣤⣤⣐⡶⣶⣦⣤⣤⣄⣀⣀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡇⣿⣿⡅⡝⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣽⣿⣿⣨⡻⣿⣝⢓⣤⣤⣭⣽⣿⣭⣿⡿⣶⣽⣻⣿⣿⣿⣿⣿⣿⣷⣶⣦⣀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣇⢿⢘⣱⣳⡿⣋⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣵⣧⡹⡏⣿⣿⣿⡝⣿⡼⣿⣿⣿⣿⣿⣿⣿⣿⣾⡿⣿⣿⣿⣿⣿⣿⣛⣛⣛⣛⣿⠷⠀⠀⢸⣿⣿⣿⣿⡏⣾⡦⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣜⢘⠃⢫⣾⣿⣿⢺⡯⣛⡿⢿⣿⣿⣿⣿⣿⡿⢿⣟⢫⣵⣶⣮⣹⢯⣾⣇⠿⣼⡿⠋⠘⠇⠹⣿⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢛⣭⣩⣯⣭⣟⡀⠀⢸⣿⣿⣿⣿⣷⢂⡎⢿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡇⠿⠟⣐⠿⢿⣟⣸⣾⣿⣯⣾⡞⣿⣿⢰⣮⣾⣷⡛⣾⣿⣿⣿⣗⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠹⣛⣿⢿⣿⣿⣛⣭⣾⣿⣿⣿⣏⢿⣿⣿⢇⣿⣿⣿⣿⣦⠸⠟⢫⣾⣿⡿⢸⣿⡘⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡘⢿⣾⣷⣤⣉⡛⠻⢿⣿⣷⣿⣿⣸⠏⣿⣿⣿⣿⣿⣿⣿⣿⡮⣻⠋⠀⢠⠲⣷⠄⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣝⡻⢿⠿⣿⡴⣻⢿⣿⣿⣿⡿⠟⠋⢰⣢⠸⢛⣭⣤⣼⣿⣧⢹⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡘⢟⡿⠟⠛⠁⠁⠀⠀⠀⠸⡟⢋⡎⣿⣿⣿⣿⣿⣿⡿⢫⣾⢏⡀⠀⠀⠙⣴⡇⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⡻⣿⣿⣿⣿⣿⣿⣿⡶⠂⠀⠀⠀⠀⠈⠙⠀⠀⠀⠂⠙⠊⢻⢡⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡝⠂⠀⠀⠀⠀⠀⠀⠀⠀⣀⣣⣤⡁⠙⠿⢋⣿⣿⡿⣱⡿⣱⣿⣿⣦⣤⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⢰⣿⣷⣄⠀⠀⠀⠀⠉⠜⢻⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢁⣤⣶⣶⣀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣷⡀⢸⣿⣿⢱⡿⢁⣭⣿⣭⣽⡻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣷⣾⣭⣽⣿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢝⣿⠏⣴⣶⣦⡀⠈⣵⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣷⠀⠀⢻⣿⣿⣿⣿⣿⡿⠃⣾⣿⡇⣿⢼⢟⣋⣁⣒⣒⡲⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣴⣦⡉⠽⠟⠀⢠⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⢿⣿⣿⣿⡿⠟⠀⠀⠈⠙⠛⠛⠋⠉⠀⢀⡻⢿⣷⢹⣼⣼⣿⡛⣻⣙⡻⠦⢹⡆⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠿⠿⠏⠛⠀⠀⠀⠀⠀⠀⣹⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣦⢲⡍⣃⢻⣿⣿⣧⠰⣹⣿⣿⣿⢟⣲⣤⣶⣿⣿⣵⣿⣿⣿⣿⡿⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣼⣿⣿⣷⣿⣿⣿⡆⢟⣽⣾⣿⣿⣿⣿⣿⣿⠛⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡴⣢⡄⡀⠀⠀⠀⠀⣰⡇⣿⣿⣿⣿⡟⣼⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢀⡀⠀⠀⢲⡆⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⣰⣿⣷⣿⣿⣶⣾⣿⣿⠇⣿⣿⣿⣷⣱⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠼⠃⠀⠃⠈⣈⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣿⣿⣿⠙⣿⣿⣿⣿⣿⣾⣿⣿⣿⢣⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⣶⡤⠀⡛⢀⣯⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⡏⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣏⣼⣿⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣼⣿⡇⣿⣿⡻⠿⣿⣿⣿⣿⣟⡿⣼⣿⣿⣿⣿⡇⣝⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣧⢻⣿⣿⣿⣶⣾⣿⣿⣿⢳⣿⣿⣿⣿⣿⣇⣿⣯⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 2815

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/08/10/The_Code_Used_to_Make_Techrights_Fits_on_a_Seventh_of_a_Floppy_.shtml
    Gemini version at gemini://gemini.techrights.org/n/2025/08/10/The_Code_Used_to_Make_Techrights_Fits_on_a_Seventh_of_a_Floppy_.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ The Code Used to Make Techrights Fits on a
Seventh of a Floppy Disk (or 100KB When
Compressed)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Aug 10, 2025


Out of curiosity, after complaining about bloated programs [1, 2], I decided to
compress the latest files in Git and sum up the totals.


-rwxr-xr-x   1 roy  roy    7312 Aug 10 06:19 tr-add-entry-sql.pl.gz
-rwxr-xr-x   1 roy  roy    4491 Aug 10 06:19 tr-extract-global-index.pl.gz
-rwxr-xr-x   1 roy  roy    9743 Aug 10 06:19 tr-extract-posts-sql.pl.gz
-rwxr-xr-x   1 roy  roy    3123 Aug 10 06:19 tr-extract-summary.pl.gz
-rwxr-xr-x   1 roy  roy     366 Aug 10 06:19 tr-find-deduplicate-files.pl.gz
-rwxr-xr-x   1 roy  roy    5531 Aug 10 06:19 tr-generate-feed.pl.gz
-rwxr-xr-x   1 roy  roy    2276 Aug 10 06:19 tr-initialize-static-site-
generator.pl.gz
-rwxr-xr-x   1 roy  roy    5878 Aug 10 06:19 tr-old-extract-mysql-to-html-cref-
comments.pl.gz
-rwxr-xr-x   1 roy  roy   10210 Aug 10 06:19 tr-old-extract-wiki.pl.gz
-rwxr-xr-x   1 roy  roy    3320 Aug 10 06:19 tr-parse-old-static-html.pl.gz
-rwxr-xr-x   1 roy  roy    6013 Aug 10 06:19 tr-scale-and-process-image.pl.gz
-rwxr-xr-x   1 roy  roy     545 Aug 10 06:19 tr-ssh-wrapper.pl.gz
-rwxr-xr-x   1 roy  roy    1957 Aug 10 06:19 tr-stats-weekly-pages.pl.gz
-rwxr-xr-x   1 roy  roy    5846 Aug 10 06:19 tr-update-entry-sql.pl.gz


$ du -sh
100K    .
It'll even compress better if all the files are tarred/combined, then
compressed. Then it's a lot_less than 100KB.


For the sake of comparison I've just downloaded the latest version of
WordPress. The ZIP file is 27.2MB in size, or ~27,200KB. █


    * What_They_Tell_Young_Programmers
    * Sometimes_Newer_is_Worse



                    ䷩ 𝚕𝚒𝚗𝚎 2867

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/08/10/The_Man_Who_Helped_Microsoft_Kill_Linux_is_Trying_to_Delay_Our_.shtml
    Gemini version at gemini://gemini.techrights.org/n/2025/08/10/The_Man_Who_Helped_Microsoft_Kill_Linux_is_Trying_to_Delay_Our_.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ The Man Who Helped Microsoft Kill Linux is
Trying to Delay Our Lawsuits Against Him⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Aug 10, 2025


While moonlighting with the people who try_to_cancel_the_founder_of_GNU/Linux
(for personal_gain):


             🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇FOSSY_2025:_Wait,_I_can_explain⦈_


As noted here yesterday, Microsoft_money is being leveraged against us in an
effort_to_silence_us. By conservative estimates, and based on court documents
submitted by them, they're prepared to spend over a million dollars on lawyers,
fighting against me and my_wife.


Does this sound insane? Because they_are_insane, and they serve_Microsoft from
within_our_ranks. If you talk about it, they'll issue_threats and defame you.


 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇I_found_a_new_sponsor._That's..._So_he_strangles_women,_so
                                    what?⦈_


And what is it that we oppose anyway? Consider this_new_report: "Battlefield 6
requires Secure Boot to run and it's coming to more games soon, including Call
of Duty Black Ops 7: here's what it is, why Linux gamers are mad about it, and
how to enable it" (wrong solution).


We saw more reports to the_same_effect ("DRM and Fake Security as Attack Vector
Against Games on GNU/Linux") in recent days. Microsoft influence in gaming
studios? Notice what it says below: "It's a Windows thing."


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Battlefield_6_requires_Secure_Boot_to_run_and_it's_coming_to
  more_games_soon,_including_Call_of_Duty_Black_Ops_7:_here's_what_it_is,_why
             Linux_gamers_are_mad_about_it,_and_how_to_enable_it⦈_


They try to turn "Linux" into Windows or put Microsoft in control of GNU/Linux.
That's what 'secure'_boot is all about; Microsoft gets to remotely brick
people's_GNU/Linux_setups while blackmailing_people_who_oppose_that. MJG has
been doing this for many years already [1, 2]. He's the prime proponent of
'secure' boot, who is moreover tag-teaming_with_a_Microsoft_employee_who
strangled_women. That says a lot about his_poor_view_of_women (they too learn
it_the_hard_way).


"The clock is ticking down in regards to the certificate time bomb which
Microsoft planted in restricted boot with the help of MJG," a reader has told
us regarding yesterday's article entitled "Eventually_UEFI_'Secure_Boot'_Will
be_Dropped_(Users_Will_Demand_Its_Removal_and_Boycott_Its_Pushers)".


Secure boot ("Restricted boot" is the_term_used_by_the_FSF, which does not
recognise it as a security feature at all!) "will only remain optional for a
while longer," the reader opines. "Turning it off will cease to be a
possibility when the interests working via Microsoft decide they can get away
with making it mandatory and lock out Linux and *BSD from the desktop
permanently."


See the report about computer games above. Whose decision was that? 'Former'
Microsoft staff? What's the logic here? Modifying a program makes that program
illegal? An act of 'piracy'? As the_FSF_put_it: "we are concerned that
Microsoft and hardware manufacturers will implement these boot restrictions in
a way that will prevent users from booting anything other than Windows. In this
case, we are better off calling the technology Restricted Boot, since such a
requirement would be a disastrous restriction on computer users and not a
security feature at all." They spoke of "freedom to install free software", not
just distros in a state approved by Microsoft. There are already OEMs that ship
computers which refuse to boot anything other than Windows, so what the FSF
said turned out to be true. It's the "Stallman was right" phenomenon, albeit at
an institutional level/scale.


Last month we said in relation to this: Our_Three_Lawsuits_Against_Microsofters
Are_About_to_Become_a_Lot_More_Relevant_to_GNU/Linux


Remember that 'secure' boot is not - and never was - about security. It's about
Microsoft controlling people's hardware, no matter what they run on that
hardware. █


             🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Secure_boot:_Putin_can't_see_me⦈_


    * Gemini_Links_10/08/2025:_Gen_Con_2025_and_Framework_Laptop
    * If_You_Attack_Somebody_Too_Much_You_Legitimise_and_Strengthen_That
      Somebody


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

                    ䷩ 𝚕𝚒𝚗𝚎 3117

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/08/10/What_They_Tell_Young_Programmers.shtml
    Gemini version at gemini://gemini.techrights.org/n/2025/08/10/What_They_Tell_Young_Programmers.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ What They Tell Young
Programmers⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Aug 10, 2025


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Hackathlon⦈_


Coding in 2025


Coding "by hand" is hard
It makes you a retard


Here, try an LLM
You won't even notice the code is so lame


Get the latest framework from Microsoft GitHub repos
Never mind if it is POS


Compiling things is for greybeards
Every line does as it appears


GitHub Actions is NSA compiler
Machine code produced by a liar


Code has nationality
Judge it by flags, not rationality


Reading code is bad
Failing to comprehend it makes you sad


Zemlin is the master
An anti-geek buster


Let the Pentagon decide what's safe to use
A program made by oneself is clear misuse █


    * Simpler_is_Better_When_Simple_is_Enough
    * The_Code_Used_to_Make_Techrights_Fits_on_a_Seventh_of_a_Floppy_Disk_(or
      100KB_When_Compressed)


⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢀⡀⠤⣄⢀⠠⣀⡀⢤⣀⠀⣀⡀⠀⡀⡀⢀⢀⠀⠠⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡄⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣤⣤⣀⣀⣀⣀⣠⣤⣤⣶⣾⣿⣿⣿⡿⡿⠿⡿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⣤⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠿⣿⣻⣿⣿⢿⡿⡿⣻⣿⣿⣿⢻⠹⡏⣿⣷⢸⣇⡇⢭⡇⣘⣿⣿⣷⣦⣤⣴⣶⣶⣦⣄⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣵⡿⠀⠀⠀⠀⠀⠀⣼⢸⣿⡀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡇⣿⢹⡛⡇⣧⢹⣇⣿⣿⣿⣿⣾⣭⣷⣿⣿⣾⣿⣿⣿⠿⢿⠿⣻⢻⢻⢫⢻⢉⠏⣿⣿⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⣴⣦⣽⣿⣇⣿⣿⡅⠀⡤⣄⡀⠀⠀⠀⠀⠀⠀⠘⣿⣷⣿⣿⣷⣷⣿⣿⣿⣿⣿⣿⣿⡿⢿⢿⢟⠻⡟⣽⠉⢽⢬⣌⣷⣿⣾⣷⣷⣾⣾⣿⣿⠟⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠶⠠⠶⠮⠝⠻⣣⣿⣿⣿⡦⣚⡋⠭⠥⠤⠀⠀⠀⠀⠀⠀⢹⡟⡟⣿⡯⣵⣿⣿⣿⢓⡹⣿⣿⣿⢸⣾⣰⣧⣷⣾⣿⣿⢿⠿⢿⢿⢋⠍⣿⣿⡟⠉⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠐⡤⣶⣾⠰⠶⣸⣿⣿⠆⣸⢿⣿⣿⢀⠶⣶⣜⣡⣿⠖⠀⠀⠀⠀⠀⠈⣷⣟⣦⣷⣽⣿⣿⣿⣾⣿⠿⣿⣿⣿⣿⡿⢉⡋⣿⣿⣾⢸⣜⣨⣬⣼⣴⣾⣿⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡾⣄⢁⣄⣨⣙⡻⠿⠿⠟⣛⠁⣰⣟⣛⣿⣿⣮⣷⣶⡵⠄⠀⠀⠀⠀⠀⠀⠀⠀⣿⣻⡟⢿⢻⢻⢹⡟⣶⣿⡸⢶⣿⣿⣿⣷⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠘⠋⢿⣿⣿⣿⡭⣽⣿⣿⣿⣾⣿⣿⣿⣿⡿⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣏⣽⣷⣾⣷⣼⣿⣿⣿⡿⢿⡛⣻⣿⣿⣿⡿⠛⠉⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣦⣶⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣛⢟⢫⡝⢫⣿⢉⣚⣌⣻⣿⣼⣽⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣄⠙⢿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣏⣿⣾⣶⣷⣾⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡘⡆⡄⠙⠻⣿⣿⣿⣿⣯⣶⣴⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠿⠛⠉⠉⠁⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣸⣎⣱⣰⣠⣄⡉⠛⠿⢿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⢧⣿⣿⣿⣿⣿⣟⠿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢾⣿⣾⣿⣿⣿⣿⣿⣿⣇⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⢎⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣔⣿⣿⣯⣿⣿⣯⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⣿⡷⡈⢾⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⢟⣻⣿⣿⣷⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⠀⠙⢿⣷⣆⠙⠝⠻⡿⣿⣿⣿⣿⣻⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣯⣽⣿⣿⣿⠛⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠐⢀⣴⢾⣿⣿⣷⠀⢘⣿⣿⠷⡀⠖⣽⣾⣿⣿⣿⣿⣷⣦⡐⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣽⡿⣿⣿⣿⣮⣿⣶⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡠⢠⠞⣡⣾⣍⡙⢿⣷⠀⢻⡇⢎⠌⠆⣽⣿⣿⣵⣶⣿⣿⣿⡇⡌⢸⠀⡄⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣷⣽⣿⣿⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⡜⣰⢃⣼⣿⣿⣿⣿⣌⠻⡇⠈⠾⡖⣯⠀⣿⣿⣿⣿⣶⣾⣿⣿⣷⣷⢸⢐⠃⠻⢄⠀⠀⠀⠀⠀⠀⠀⠉⠛⠓⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠘⣼⣵⣿⣿⣿⣿⣿⣷⣬⣻⣿⣦⠀⣶⠌⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⢸⠀⢆⡁⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⡄⢼⣿⣿⣿⣿⣿⣿⠟⢿⣛⣹⣿⡆⢰⣾⡆⢡⡙⢿⣿⣿⣿⣿⣿⣿⣿⢸⢸⡒⠸⡇⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⡇⢸⣿⣿⣿⣿⣿⣧⢹⡈⣿⣿⠿⣷⠀⣿⣯⢘⣟⣶⣜⡻⢿⣿⡼⢿⣿⢸⢀⡃⡀⠻⡌⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠂⡌⣿⡟⣥⡝⠿⠇⠘⠇⣉⣭⣶⣶⡆⢹⡿⠀⣷⣦⡙⠿⣶⣽⡋⢳⡿⠘⠈⡦⠃⠆⢧⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢰⢀⠸⡇⣯⡛⡀⣩⣴⢿⣿⣛⣛⣭⣄⠈⣟⡇⢻⣿⣿⣶⣍⡻⢿⣦⡄⡇⠀⣧⣋⣴⠸⣇⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢸⡎⡀⢻⡘⢁⡾⢟⣿⣾⡿⠟⠛⢃⣖⡄⢹⣷⠈⢿⣿⣿⣿⣿⣷⣮⢡⠁⣄⣿⣿⣿⡆⣿⡈⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢸⣿⢀⠈⣱⣿⡶⠛⠡⠊⠐⣆⢹⡎⣧⢃⠈⣿⡀⠹⣿⣿⣿⣿⣿⡏⡎⢦⢸⣿⣿⡿⡆⢸⡇⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢨⢸⣿⣄⠄⢻⡿⢫⡀⣴⣧⡄⢺⠸⡇⡇⢸⡂⣿⣧⠀⢿⣿⣿⣿⡿⣹⠐⡌⣾⣿⣿⣿⡗⢸⡇⡆⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢸⠐⣿⣿⡀⠀⠀⠌⠁⢱⣿⣿⣆⣸⣇⢃⢸⡅⠘⣿⣄⠘⣿⣿⡿⣱⠇⡐⢰⡿⠿⣿⣿⠃⣼⣿⠃⢸⣧⠀⠀⠀⠀⠀⣸⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠈⠘⣿⣿⣧⢢⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⢰⢀⣇⢈⢷⣆⠘⡍⣰⢏⠠⣠⣾⡿⣿⣿⡏⠀⣹⣿⡦⢸⣿⡆⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⡟⣿⣿⡎⡆⠀⠟⣽⣿⣿⣿⣿⡿⢿⣎⣼⣿⡀⡆⡹⠇⣴⢏⠢⢱⣿⣿⠹⣿⣿⡇⠀⢸⣿⡇⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣷⡘⣿⣷⢹⠂⠀⢻⣿⣿⣿⣶⣾⣯⣿⡟⡡⢣⠰⢃⠞⣱⠃⣠⣿⣿⣿⣼⣿⣿⡇⠀⡈⣿⡇⢠⣿⣿⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⡘⢷⣌⢿⣇⡄⡄⢸⢹⣿⣿⣿⣿⣿⣿⣾⣥⣿⠀⠑⠋⠁⠐⣿⣭⣭⣭⣿⣿⣿⣦⠀⢐⠸⣷⠘⠽⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⢌⠦⣌⡂⠿⢰⡇⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣶⣞⣴⣶⣶⣄⣭⣍⣉⠛⢿⣿⣿⣿⠠⠸⡀⣿⠀⡸⣻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⡆⣙⠺⢭⣽⣗⡢⠄⠀⠢⡙⢻⣿⣙⠻⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣷⣆⠄⣐⣒⣐⣀⡐⡀⠠⠍⢉⣛⡛⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣝⣯⠑⠦⡐⣶⣶⣏⠠⠥⠄⠹⢿⣿⣿⣿⣿⣿⡇⠿⠿⣿⡏⣿⢻⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 3220

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Gemini Links 10/08/2025: Gen Con 2025 and
Framework Laptop⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Aug 10, 2025


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Sleep_child⦈_


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


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


          o § Personal/Opinions⠀➾


                # ⚓ excision⠀⇛


                # ⚓ Gen_Con_2025⠀⇛


                       My oldest daughter (I'll just say "Daughter") and I
                       went to Gen Con last week. It is the first time
                       either than us have been there, and it was a huge
                       event. The central room in the Indiana Convention
                       Center was filled with booths to buy everything
                       from games to clothes and everything in between. A
                       couple stores had great Cosplay outfits. You could
                       spend a lot of money on Cosplay, including sets of
                       armor and shields which I enjoyed looking at and
                       trying on. Note, the armor was expensive. So were
                       the hats in one of the stores (running hundreds of
                       dollars for a hat).


                       We spent a lot of time the first day there.
                       Daughter really enjoyed the Warhammer booth. I
                       headed by the Critical Role booth, and checked out
                       their new game Solar Gardens. I saw a demo on how
                       it is played, and picked up a copy to try out with
                       my family.


                # ⚓ regular⠀⇛


                       being a regular to a place is interesting. you get
                       to keep a tab on who the familiar faces are. get a
                       chance to know the staff, and their hours. who
                       makes the better latte, who has the better stories.
                       and they get to keep a similar tab on you: when you
                       usually come in, what do you order when you're
                       feeling down, where you usually sit…


                       I like those intricacies. it makes a place feel
                       like home, even if you don't know anyone's name.
                       there is a certain belonging you feel, a certain
                       trust. an unspoken contract with your usual spot,
                       for it knows when you will be sitting there.
                       sometimes, you bring friends over. sometimes, they
                       also stick around. now, it's a bigger family. most
                       of the time though, they will be the one-off
                       characters to your play. they are meant to spark
                       new conversations in your mundane relaxation.


          o § Finance⠀➾


                # ⚓ credit_cards_are_weird⠀⇛


                       My parents, who got themselves into trouble with
                       credit cards in their early 20s, warned me away
                       from all the offers I got in college. I got my
                       first credit card at age 25 but rarely used it. My
                       debit card had a higher limit (because I possessed
                       more than $500 US dollars in any given month) and
                       didn't require me to keep track of what I'd spent.
                       I ended up closing that first credit card a few
                       years after I got it, having used it maybe twice.


                       For years, I didn't bother getting a credit card
                       because I assumed no bank would give me one.
                       Lenders don't like working with the "self-
                       employed." For some reason, they think it's a safer
                       bet that a single employer won't fire me than that
                       a dozen clients won't walk all at once. Weird.


                       Anyway, I decided to try again on the credit card
                       front - nearly 20 years later - when my bank
                       offered a zero annual fee card with cash back on
                       stuff I actually buy, like gas and groceries.


          o § Technology and Free Software⠀➾


                # ⚓ review_the_vision⠀⇛


                       I'd like to think that the deepest parts of my soul
                       have been touched more by conversations and books
                       than by comment sections and memes. But at this
                       point, who knows?


                       I should know better. Shouldn't I? Why do I keep
                       consuming that same intoxicating mix of rage bait
                       chased by reaction commentary? When I come to, my
                       cortisol is spiked, I feel like shit, and I can't
                       entirely account for the last few hours. God, I
                       really need to quit. I swear, that's the last time.
                       I will never scroll again...


                       I have to be careful around YouTube. It's a mixed
                       bag; there's some valuable and wholesome stuff
                       sprinkled in with the poison. And just now it
                       occurs to me that how it's cut has been
                       algorithmically optimized for me. It's precisely at
                       the edge of my tolerance and always will be.


                # ⚓ 🖥️_Framework_Laptop_-_First_Big_Upgrade⠀⇛


                       I’ve had my Framework 13 for 2.5 years, and it’s
                       performed like a champ, throughout. I don’t use it
                       every day – I work from home, and have a rig – but
                       it’s done everything I’ve wanted from it when I’m
                       on the road.


                       But it’s started to pant a bit. Software is as
                       Software does; things get fatter, slower, and more
                       Electron, and lately, it’s not taken all that much
                       to get the fans going. Obviously, the whole point
                       of going with a Framework was to get to this point,
                       wanting to upgrade, but without spending a whole
                       load of coin on a new machine, generating e-waste,
                       or adding to a shelf of Thinkpads. Since I’ve
                       finished a project, and got a new job, I thought
                       I’d treat myself and see if the dream could come
                       true.


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


    * Over_at_Tux_Machines...
    * The_Man_Who_Helped_Microsoft_Kill_Linux_is_Trying_to_Delay_Our_Lawsuits
      Against_Him



                    ䷩ 𝚕𝚒𝚗𝚎 3396

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Gemini Links 10/08/2025: Residents
Management Company, Automation, and Politics⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Aug 10, 2025


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Get_in⦈_


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


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


          o § Personal/Opinions⠀➾


                # ⚓ Everflow⠀⇛


                # ⚓ wholewheat_pancakes⠀⇛


                       There are two ingredients I quite like, freshly
                       ground whole wheat flour and really good extra
                       virgin olive oil (EVVO). I have replaced all other
                       added fats in my cooking with EVOO, even in ice
                       cream!


                # ⚓ mirroring⠀⇛


                # ⚓ Have_I_turned_into_a_"Prepper"⠀⇛


                       The reality is that my life in the past 5 years has
                       been slowly evolving to more self sufficient
                       lifestyle. Hobbies and projects that I have been
                       interested in have been moving me naturally towards
                       a more self reliant future.


                # ⚓ 🔤SpellBinding:_ADIYTUS_Wordo:_GUESS⠀⇛


                # ⚓ Hostage_families_call_to_shut_down_Israeli_economy_in
                  protest_of_Gaza_takeover_plan⠀⇛


                       Family members of hostages held in the Gaza Strip
                       called on Saturday for a shutdown of Israel's
                       economy following the Israeli security cabinet
                       decision of the security cabinet to take control of
                       Gaza City.


                       Anat Angrest, whose son Matan is being held captive
                       in the Gaza Strip, addressed the Israeli public and
                       business leaders in a statement issued Saturday.


                # ⚓ ‘Self-termination_is_most_likely’:_the_history_and_future
                  of_societal_collapse⠀⇛


                       “We can’t put a date on Doomsday, but by looking at
                       the 5,000 years of [civilisation], we can
                       understand the trajectories we face today – and
                       self-termination is most likely,” says Dr Luke Kemp
                       at the Centre for the Study of Existential Risk at
                       the University of Cambridge.


                       “I’m pessimistic about the future,” he says. “But
                       I’m optimistic about people.” Kemp’s new book
                       covers the rise and collapse of more than 400
                       societies over 5,000 years and took seven years to
                       write. The lessons he has drawn are often striking:
                       people are fundamentally egalitarian but are led to
                       collapses by enriched, status-obsessed elites,
                       while past collapses often improved the lives of
                       ordinary citizens.


                       Today’s global civilisation, however, is deeply
                       interconnected and unequal and could lead to the
                       worst societal collapse yet, he says. The threat is
                       from leaders who are “walking versions of the dark
                       triad” – narcissism, psychopathy and
                       Machiavellianism – in a world menaced by the
                       climate crisis, nuclear weapons, artificial
                       intelligence and killer robots.


          o § Residential Rights⠀➾


                # ⚓ Taking_back_control_of_a_Residents_Management_Company,_a
                  case_study,_Part_2⠀⇛


                       This has pretty serious implications. Residents
                       cannot ascertain which of their neighbours are
                       members of the RMC and thus have formal control
                       over board of directors that chooses the estate
                       manager.


                       Roughly speaking, we'd expect one member per
                       dwelling (i.e., if we count up the number of houses
                       on the estate, and add it to the number of flats,
                       that's how many members there should be). But the
                       RMC's articles suggest there may be non-residential
                       units that carry RMC membership rights/obligations
                       too.


                # ⚓ Taking_back_control_of_a_Residents_Management_Company,_a
                  case_study,_Part_3⠀⇛


                       There's a widespread misconception about the role
                       of leases and transfer deeds in relation to
                       membership of the RMC. Specifically, that if it
                       says in a lease or a transfer that the owner of the
                       lease (or of the property transferred) that the new
                       owner has a right or an obligation to join the
                       company, then that means that person must be a
                       member.


                       Just to step back and think about it in the
                       abstract: being a member of a company brings
                       benefits (e.g., dividends) and risks (having to
                       bail out the company if it goes bankrupt). It's
                       therefore untenable that anyone could become a
                       member of a company except by their agreement with
                       the company itself or by trading places with an
                       existing member. (In the case of RMCs, the benefit
                       is having a say in the governance, and the risk is
                       potentially unlimited liability for meeting the
                       RMC's running costs).


                # ⚓ Taking_back_control_of_a_Residents_Management_Company,_a
                  case_study,_Part_4⠀⇛


                       As it happens, the *original* tenant named on the
                       leases is a company that seems to have been a
                       subsidiary of the Housing Association. When flats
                       were sold on a 100% basis, the new tenant stepped
                       into the shoes of this subsidiary.


                # ⚓ Taking_back_control_of_a_Residents_Management_Company,_a
                  case_study,_Part_5⠀⇛


                       So far, we've been through some ways of making
                       informed guesses about who is a member of the RMC
                       that the residents need to take back under control.


                       This is all assuming that the directors are
                       actually following the rules, but the rules are
                       vague about what land constitutes the relevant
                       "Estate" and what constitutes a "unit". It seems
                       the directors may be able to designate commercial
                       premises as units for the purposes of enrolling
                       people as members of the RMC.


                # ⚓ Taking_back_control_of_a_Residents_Management_Company,_a
                  case_study,_Part_6⠀⇛


                       Even if one doesn't know who the members of the RMC
                       are, knowing an upper bound on how many of them
                       there could be is itself useful: if five percent of
                       the voting members of a company demand a general
                       meeting, then the directors must call one, or those
                       members can call it themselves.


                # ⚓ Taking_back_control_of_a_Residents_Management_Company,_a
                  case_study,_Part_7⠀⇛


                       Having gone through the whole rigmarole of how one
                       might work out who is a member of the estate's RMC
                       and why, how does it all fit together with day-to-
                       day management?


                # ⚓ Taking_back_control_of_a_Residents_Management_Company,_a
                  case_study,_Part_8⠀⇛


                       So a group of, say, 300 homeowners would elect a
                       smaller group of half a dozen or so, to hire and
                       fire a single individual or firm. It basically
                       can't work any other way. Yet the situation, though
                       it recurs across the country, is constantly
                       misrepresented: [...]


          o § Technology and Free Software⠀➾


                # ⚓ What_I'm_playing_🐭📖_Moss:_Book_II_|_You_can_high-five_the
                  mouse!⠀⇛


                       Moss is a VR "third-person" platformer set in a
                       story book where you help a little mouse on a big
                       adventure. All six VR players liked it so much that
                       there's a sequel! Moss: Book II picks up right
                       after the events of the first game, after you
                       helped Quill kill the big bad snake.


                # ⚓ intelligent_machines⠀⇛


                       Open up your laptop or desktop computer, or even
                       your tablet or smartphone, and strip it down to the
                       basics. (Careful, this may void your warranty.)
                       You’ll find a motherboard : a hard board with
                       circuits printed on it. This board, also called a
                       logic board, is like the soil of a garden. Not a
                       garden of vegetables, though—a garden of chips.
                       Now, the indigenous peoples of the Americas figured
                       out long ago that if you plant certain vegetables
                       next to each other, they will enrich the soil and
                       help each other grow: for example, squash, corn,
                       and beans—the “Three Sisters”. Look over your
                       motherboard and you’ll see a whole family of chips
                       spread throughout: RAM chips, ROM chips, a CMOS or
                       two, EEPROMs for flash memory, and so forth. Each
                       of these has a specific job to do and helps your
                       device function. Without each part, the whole would
                       be little more than an expensive brick. But like
                       Sauron’s ring, one chip rules them all: the CPU, or
                       central processing unit. Often called the “brain”
                       of a computer, it carries out billions of
                       instructions per second, conducting a digital
                       orchestra that gives your device a life of its own.


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


    * Links_10/08/2025:_AOL_Ending_Dial-up
    * Slopwatch:_LinuxSecurity,_Brian_Fagioli,_and_Other_Serial_Sloppers



                    ䷩ 𝚕𝚒𝚗𝚎 3670

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Links 10/08/2025: AOL Ending Dial-
up⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Aug 10, 2025


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Found_it⦈_


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * Leftovers
          o Science
          o Hardware
          o Health/Nutrition/Agriculture
          o Proprietary
                # Artificial_Intelligence_(AI)_/_LLM_Slop_/_Plagiarism
                # Social_Control_Media
                # Windows_TCO_/_Windows_Bot_Nets
          o Security
                # Privacy/Surveillance
          o Defence/Aggression
          o Environment
                # Energy/Transportation
                # Wildlife/Nature
          o Finance
          o AstroTurf/Lobbying/Politics
          o Censorship/Free_Speech
          o Internet_Policy/Net_Neutrality
          o Monopolies/Monopsonies
    * § Leftovers⠀➾


          o § Science⠀➾


                # ⚓ New York Times ☛ How_Older_People_Are_Reaping_Brain
                  Benefits_From_New_Tech⠀⇛


                       Overuse of digital gadgets harms teenagers,
                       research suggests. But ubiquitous technology may be
                       helping older Americans stay sharp.


                # ⚓ Science Alert ☛ NASA_Rovers_Keep_Getting_Stuck,_And_We
                  Finally_Know_Why⠀⇛


                       It was right in front of us.


                # ⚓ Science Alert ☛ Wild_New_Theory_Suggests_Gravitational
                  Waves_Shaped_The_Universe⠀⇛


                       This could revolutionize cosmology.


                # ⚓ Science Alert ☛ Washing_Your_Hands_Is_Even_More_Important
                  in_Summer._Here's_Why.⠀⇛


                       Heat comes with hidden risks.


                # ⚓ Science Alert ☛ Meet_The_'Genital_King'_Tarantula_And_Its
                  Record-Breaking_Sexual_Organ⠀⇛


                       All in the name of safe sex.


          o § Hardware⠀➾


                # ⚓ Hackaday ☛ Hacking_Printed_Circuit_Board_To_Create_Casing
                  And_Instrument_Panels⠀⇛


                       Over on Hackaday.io our hackers [Angelo] and
                       [Oscarv] are making a replica of the PDP-1. That is
                       interesting in and of itself but the particularly
                       remarkable feature of this project is its novel use
                       of printed circuit boards for casing and instrument
                       panels.


                # ⚓ Hackaday ☛ SparcStation_1+_Finally_Gets_Attention⠀⇛


                       We can’t throw stones. [Leaded Solder] picked up a
                       SparcStation 1+ in 2018 and found it only produced
                       illegal instruction errors. We’re sure he’s like us
                       and meant to get back to it, and, instead, it sat
                       on the bench, taking up space. You eventually have
                       to move it, though, so seven years later, it was
                       time for another go at it.


                # ⚓ Hackaday ☛ A_Love_Letter_To_Prototype_Zero⠀⇛


                       An old friend of mine at my hackerspace introduced
                       me to the concept of Prototype Zero: The Version
                       that Even Your Own Sweet Mother Isn’t Allowed to
                       See. The idea is that when you’re building
                       something truly new, or even just new to you, your
                       first take will almost always be ugly, and nothing
                       will work the way it will by the time you make your
                       second one. But it’s also important to the exercise
                       that you see it all the way through to the end if
                       you can.


                # ⚓ Hackaday ☛ The_Kilopixel_Display⠀⇛


                       Despite the availability of ready-made displays
                       never being better, there are still some hardy
                       experimenters who take on the challenge of making
                       their own. In [Ben Holmen]’s case the display he
                       built is somewhat unusual and not the most
                       practical, but for us a giant-sized wooden
                       kilopixel display is exactly what the world needs.


                # ⚓ Hackaday ☛ Desk_Top_Peltier-Powered_Cloud_Chamber_Uses
                  Desktop_Parts⠀⇛


                       There was a time when making a cloud chamber with
                       dry ice and alcohol was one of those ‘rite of
                       passage’ type science projects every nerdy child
                       did. That time may or may not be passed, but we
                       doubt many children are making cloud chambers quite
                       like [Curious Scientist]’s 20 cm x 20 cm Peltier-
                       powered desktop unit.


                # ⚓ Tom's Hardware ☛ Battlefield_6_keeps_crashing_on_defective
                  chip_maker_Intel_Arc_GPUs_—_here_are_some_workarounds_until
                  defective_chip_maker_Intel_releases_a_fix⠀⇛


                       Battlefield 6’s open beta is crashing on defective
                       chip maker Intel Arc A-series GPUs, with issues
                       tied to the game’s default Borderless mode.
                       defective chip maker Intel is working on a driver
                       fix, but players can avoid crashes by switching to
                       Full Screen/Windowed or using a risky legacy
                       control panel tweak.


                # ⚓ Tom's Hardware ☛ Enthusiast_builds_'AMD_gaming_PC'_entirely
                  made_of_cardboard_—_specs_include_unreleased_AMD_5800GT_CPU,
                  DDR8_RAM,_PCIe_6.0_SSD,_and_2,400W_power_supply⠀⇛


                       A Redditor built several PC components out of
                       cardboard with intricate detail to build a
                       cardboard PC that spins and lights up. It's not a
                       real computer, though.


          o § Health/Nutrition/Agriculture⠀➾


                # ⚓ New York Times ☛ This_Blood_Drive_Might_Be_a_Way_into
                  Hollywood’s_Exclusive_Magic_Castle⠀⇛


                       The Hollywood landmark has hosted blood drives
                       since 2014. Donors do a good deed, but the perk is
                       entry into the private club.


                # ⚓ NYPost ☛ Washington_hospital_fires_fifteen_nurses_after_12-
                  year-old_patient’s_suicide⠀⇛


                       A 12-year-old girl died by suicide after slipping
                       out of her room at a Washington state children’s
                       hospital, prompting the firing of fifteen nurses.
                       The girl’s family has sued, while the nurses’ union
                       claims the firings were retaliation.


          o § Proprietary⠀➾


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


                      # ⚓ Kubernetes Blog ☛ Introducing_Headlamp_Hey_Hi_(AI)
                        Assistant [Ed: Peak hype, peak stupidity? Of course, as
                        usual, Kubernetes projects outsource everything to
                        Microsoft and to proprietary software.]⠀⇛


                             This announcement originally appeared on the
                             Headlamp blog.


                             To simplify Kubernetes management and
                             troubleshooting, we're thrilled to introduce
                             Headlamp_Hey_Hi_(AI)_Assistant: a powerful
                             new plugin for Headlamp that helps you
                             understand and operate your Kubernetes
                             clusters and applications with greater
                             clarity and ease.


                # § Social Control Media⠀➾


                      # ⚓ New York Times ☛ The_Secret_to_One_Swing_State
                        Democrat’s_Rise?_Wonky_Fentanylware_(TikTok)_Videos.⠀⇛


                             Jeff Jackson was elected to attorney general
                             in North Carolina the same year that Hell
                             Toupée won the state for the third time.
                             Supporters see lessons for Democrats in Mr.
                             Jackson’s rise.


                # § Windows TCO / Windows Bot Nets⠀➾


                      # ⚓ Tom's Hardware ☛ California_man_sues_Abusive
                        Monopolist_Microsoft_for_discontinuing_backdoored
                        Windows_10_—_says_company_is_doing_this_to_“monopolize
                        the_generative_Hey_Hi_(AI)_market”⠀⇛


                             Microsoft is ending support for backdoored
                             Windows 10 by October 2025, but someone is
                             suing the company to stop it from doing so.


          o § Security⠀➾


                # § Privacy/Surveillance⠀➾


                      # ⚓ !_Avi_Alkalay_¡:_Thank_you_algorithm [Ed: Celebrating
                        surveillance]⠀⇛


                             I love it when the algorithm delivers me a
                             beloved song that I didn’t even remember
                             existed, didn’t know who made it, and didn’t
                             know the name of.


                             Thank you, algorithm.


                             Or should I thank the data scientist who
                             organized music data into a space of about 20
                             to 50 dimensions and optimized and trained
                             decision trees to infer the next song to
                             play?


                      # ⚓ New York Times ☛ What_to_Know_About_Instagram_Map,
                        Location_Sharing_and_Privacy_Concerns⠀⇛


                             The service rolled out this week, prompting
                             confusion and safety concerns. Meta, which
                             owns Instagram, said the feature was turned
                             off unless users activated it.


          o § Defence/Aggression⠀➾


                # ⚓ JURIST ☛ ICC_unseals_arrest_warrant_for_Libya_militia
                  officer⠀⇛


                       The International Criminal Court (ICC) on Friday
                       unsealed an arrest warrant for a militia officer
                       who allegedly committed war crimes in Libya during
                       non-international armed conflict, including murder,
                       torture, and outrages upon personal dignity.


                # ⚓ France24 ☛ Thousands_rally_in_Tel_Aviv_against_Israeli
                  government's_plan_to_expand_Gaza_war⠀⇛


                       Thousands marched through the streets of Tel Aviv
                       on Saturday to demand an end to the war in Gaza,
                       just a day after the Israeli government pledged to
                       seize control of Gaza City. Protesters held signs
                       and displayed photos of hostages still held in the
                       Palestinian enclave, urging the government to
                       obtain their release.


                # ⚓ CS Monitor ☛ Haiti_declares_3-month_state_of_emergency_as
                  gangs_ravage_country’s_central_region⠀⇛


                       The measure covers Haiti’s West, Artibonite, and
                       Center departments to “fight against insecurity and
                       respond to the agricultural and food crisis,” a
                       government statement says.


                # ⚓ New York Times ☛ A_Small_European_Nation_Has_a_Big
                  Explosions_Problem⠀⇛


                       Three bombs go off on an average night in the
                       Netherlands, blowing out windows and sometimes
                       causing injury or death. “It is not normal,” a
                       security guard says.


                # ⚓ France24 ☛ Syria_withdraws_from_Paris_talks_on_integrating
                  Kurds⠀⇛


                       Syria will not take part in Paris talks on
                       incorporating the Kurdish semi-autonomous
                       administration into the Syrian state, a Syrian
                       government official said Saturday. The decision
                       comes a day after the Kurdish administration, which
                       governs large parts of the north and northeast,
                       hosted a conference involving several Syrian
                       minority communities.


                # ⚓ The Straits Times ☛ 2_Malaysian_tourists_critically_injured
                  after_being_set_on_fire_in_Bangkok⠀⇛


                       The suspect, reportedly a former boxer, came up
                       from behind and poured thinner onto the pair.


                # ⚓ The Straits Times ☛ North_Korea_starts_dismantling_some
                  border_loudspeakers,_South_Korea_says⠀⇛


                       This comes after the South began removing
                       loudspeakers blaring anti-North Korea broadcasts
                       along the border.


                # ⚓ New York Times ☛ Is_Kim_Jong-un_Preparing_a_Successor?⠀⇛


                       Kim Jong-un, the leader of North Korea, might be
                       preparing his young daughter, Kim Ju-ae, to become
                       his successor. Choe Sang-Hun, the ​Seoul bureau
                       chief for The New York Times, analyzed North Korean
                       state propaganda to find out.


                # ⚓ New York Times ☛ C.D.C._Workers_Say_Shooting_Manifests
                  Worst_Fears_About_Anger_Among_Public⠀⇛


                       Employees expressed horror at a shooting at the
                       agency’s headquarters, and some said they viewed it
                       as part of a pattern of threats and assaults on
                       health workers.


                # ⚓ New York Times ☛ Gunman_in_Deadly_C.D.C._Shooting_Fixated
                  on_Covid_Vaccine,_Officials_Say⠀⇛


                       The shooting in Atlanta, which killed a police
                       officer, followed the spread of false information
                       around Covid vaccines and animosity directed at the
                       agency, public health workers say.


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


                      # ⚓ European Commission ☛ Joint_statement_by_High
                        Representative/Vice-President_Kallas_and_Commissioner
                        Kos_on_the_fifth_anniversary_of_the_fraudulent
                        presidential_elections_in_Belarus⠀⇛


                             European Commission Statement Brussels, 09
                             Aug 2025 Today marks five years since the
                             fraudulent presidential elections in Belarus.
                             Hundreds of thousands peacefully stood up for
                             democracy but faced brutal repression.
                             Recently released political prisoners have
                             shared horrific stories of torture. While
                             some have been freed, over 1,000 remain
                             imprisoned under cruel conditions.


                      # ⚓ Marcy Wheeler ☛ How_John_Durham_Buried_Evidence_He
                        Had_Been_Doing_the_Work_of_Russian_Spies_…_and_then
                        Tulsi_Gabbard_Buried_More⠀⇛


                             There are a lot of pieces of evidence that
                             Durham not only chased a Russian conspiracy
                             theory to frame Hillary Clinton, but did so
                             knowingly. Most telling is the way Durham
                             obscured the timeline showing that the draft
                             report he claimed to be chasing was created
                             at least a day after a Russian discussion
                             about creating a Deep State conspiracy
                             theory.


                      # ⚓ New York Times ☛ Russia_Goes_After_Ukraine_With
                        Distant_Strikes_and_New_Tactics⠀⇛


                             Assaults on Ukraine have been intensifying
                             even as Hell Toupée has threatened new
                             sanctions on Moscow, and now is preparing to
                             meet with Russia’s leader.


                      # ⚓ New York Times ☛ Zelensky_Rejects_Ceding_Territory_to
                        Russia_After_Convicted_Felon_Suggests_a_Land_Swap⠀⇛


                             The Ukrainian leader’s blunt comments risk
                             angering Hell Toupée, who has made a peace
                             deal between Ukraine and Russia one of his
                             signature foreign policy goals.


                      # ⚓ LRT ☛ PLJS_Chair_Agita_Beržanskaitė:_diaspora_youth
                        show_the_value_of_the_fight_for_freedom⠀⇛


                             This summer, the World Lithuanian Youth
                             Congress (PLJK) took place, where delegates
                             adopted resolutions on bolstering national
                             security, promoting civic engagement, and
                             supporting Ukraine. Re-elected for a second
                             term, PLJS chair Agita Beržanskaitė shared
                             insights into the organisation’s current
                             activities and the aspirations of active
                             diaspora youth.


                      # ⚓ France24 ☛ US,_Russian_leaders_set_for_talks_on
                        Ukraine_peace_deal⠀⇛


                             Ukraine will not cede its land, President
                             Volodymyr Zelensky said on August 9,
                             rejecting US suggestions that a deal with
                             Russia could involve swapping territories as
                             Washington and Moscow prepared for talks
                             between their leaders on ending the war.
                             France 24's Andrew Hilliar tells us more.


                      # ⚓ New York Times ☛ A_Sidelined_Europe_Seeks_a_Voice_as
                        Convicted_Felon_and_Putin_Prepare_to_Meet⠀⇛


                             Ukraine and its allies are concerned that
                             Hell Toupée and President Vladimir V. Putin
                             of Russia will do a deal without them and
                             then try to impose it on Kyiv.


                      # ⚓ RFERL ☛ Zelenskyy_Rejects_Suggestions_Of_Land_Swap_As
                        Convicted_Felon_Announces_Alaska_Summit_With_Putin⠀⇛


                             US President The Insurrectionist says he will
                             meet Russian President Vladimir Putin in
                             Alaska on August 15 to discuss the war in
                             Ukraine as Convicted Felon seeks a
                             breakthrough in his effort to end the war.


                      # ⚓ RFERL ☛ European_Leaders_Urge_More_'Pressure'_On
                        Russia_As_Zelenskyy_Rejects_Land_Swaps⠀⇛


                             European leaders reiterated support for
                             Ukraine after Kyiv pushed back against US
                             suggestions it would need to cede some
                             territory to Russia, with French President
                             Emmanuel Macron saying Ukraine’s future
                             "cannot be decided without the Ukrainians.”


                      # ⚓ France24 ☛ Dihydroxyacetone_Man_and_Putin_to_meet_to
                        discuss_Ukraine_peace_deal_in_Alaska⠀⇛


                             US President The Insurrectionist will meet
                             with Russian President Vladimir Putin on
                             August 15 in Alaska to negotiate an end to
                             the war in Ukraine, Convicted Felon said on
                             August 8.


                      # ⚓ France24 ☛ War_in_Ukraine:_Convicted_Felon_flags
                        'swapping_of_territories'_ahead_of_Alaska_talks⠀⇛


                             President Volodymyr Zelensky on August 9
                             warned that "decisions without Ukraine" would
                             not bring peace and ruled out ceding
                             territory to Russia. "Ukrainians will not
                             give their land to the occupier," he said on
                             social control media, as US President The
                             Insurrectionist and Russian President
                             Vladimir Putin prepare to hold a summit next
                             week. The Guardian's Washington bureau chief
                             David Smith tells us more.


                      # ⚓ France24 ☛ Putin-Dihydroxyacetone_Man_summit:
                        Zelensky_warns_against_'decisions_without_Ukraine'⠀⇛


                             President Volodymyr Zelensky on August 9
                             warned that "decisions without Ukraine" would
                             not bring peace and ruled out ceding
                             territory to Russia. "Ukrainians will not
                             give their land to the occupier," he said on
                             social control media, as US President The
                             Insurrectionist and Russian President
                             Vladimir Putin prepare to hold a summit next
                             week. France 24's Emmanuelle Chaze tells us
                             more.


                      # ⚓ France24 ☛ Dihydroxyacetone_Man_and_Putin_to_hold
                        talks_on_Ukraine_in_Alaska⠀⇛


                             US President The Insurrectionist and Russian
                             President Vladimir Putin are set to hold
                             talks next Friday in Alaska. Ukraine’s
                             President Volodymyr Zelensky has not been
                             invited, but reiterated that he would not
                             cede any land to Russia, following Convicted
                             Felon’s remark that there could be some
                             territorial exchanges. For more on this,
                             FRANCE 24 spoke with Theresa Fallon, Director
                             of the Centre for Russia Europe Asia Studies
                             (CREAS).


                      # ⚓ Atlantic Council ☛ Dihydroxyacetone_Man_and_Putin
                        just_announced_a_meeting_in_Alaska._What_does_that_mean
                        for_the_war_in_Ukraine?⠀⇛


                             As attention turns to the tête-à-tête in the
                             last frontier, we turn to our experts for
                             their insights on what to expect.


                      # ⚓ NYPost ☛ White_House_weighs_inviting_Zelensky_to
                        Convicted_Felon’s_face-to-face_meeting_with_Putin_in
                        Alaska⠀⇛


                             "Everyone is very hopeful that would happen,"
                             an insider said.


                      # ⚓ European Commission ☛ Statement_by_President_Macron,
                        Prime_Minister_Meloni,_Chancellor_Merz,_Prime_Minister
                        Tusk,_Prime_Minister_Starmer,_President_von_der_Leyen
                        and_President_Stubb_on_Peace_for_Ukraine_ahead_of_Hell
                        Toupée's_planned_meeting_with_President_Putin⠀⇛


          o § Environment⠀➾


                # ⚓ The Straits Times ☛ Death_toll_from_north-west_China_floods
                  rises_to_13⠀⇛


                       The number of missing people is now listed as 30.


                # § Energy/Transportation⠀➾


                      # ⚓ Henri Bergius ☛ Rigging-suspended_installation_of_a
                        marine_wind_generator⠀⇛


                             We cruise on a small boat, a 31ft_double-
                             ender. As we’re off-grid the vast majority of
                             the time, all electricity needs to be
                             produced from renewable sources. Solar
                             produces a lion’s share, but other sources
                             are needed for overcast days. We don’t have
                             space for a permanently mounted wind
                             generator, so we converted a Superwind_350 to
                             rigging-suspended.


                # § Wildlife/Nature⠀➾


                      # ⚓ New Yorker ☛ The_Futility_of_Simulating_Nature⠀⇛


                             In “The Anthropocene Illusion,” the
                             photographer Zed Nelson captures how the
                             natural world has been reproduced,
                             reshuffled, and repackaged, sold to visitors
                             in the form of spectacle.


          o § Finance⠀➾


                # ⚓ Hong Kong Free Press ☛ Chinese_tech_financier_Bao_Fan
                  released_after_probe:_former_colleague⠀⇛


                       Chinese tech financier Bao Fan has been released by
                       Chinese authorities after vanishing from public
                       view over two years ago while “cooperating” with an
                       investigation, a former colleague told AFP
                       Saturday.


          o § AstroTurf/Lobbying/Politics⠀➾


                # ⚓ France24 ☛ Chadian_court_sentences_former_prime_minister,
                  opposition_leader_to_20_years_in_jail⠀⇛


                       A court in Chad sentenced former prime minister and
                       opposition figure Succes Masra to 20 years in
                       prison on Saturday, finding him guilty of hate
                       speech, xenophobia, and inciting a massacre. The
                       court in N'Djamena held Masra, a prominent critic
                       of President Mahamat Idriss Deby Itno, responsible
                       for encouraging inter-communal violence that left
                       42 people dead on May 14.


          o § Censorship/Free Speech⠀➾


                # ⚓ New York Times ☛ The_Head_of_the_A.D.L._on_Antisemitism,
                  Anti-Zionism_and_Free_Speech⠀⇛


                       How Jonathan Greenblatt thinks about the line
                       between legitimate protest and anti-Jewish hate.


          o § Internet Policy/Net Neutrality⠀➾


                # ⚓ Tom's Hardware ☛ AOL_will_end_dial-up_internet_service_in
                  September,_34_years_after_it's_debut_—_AOL_Shield_Browser_and
                  AOL_Dialer_software_will_be_shuttered_on_the_same_day⠀⇛


                       Dial-up connectivity stalwart AOL has set a date
                       for cutting off the remainder of its old-tech
                       internet holdouts.


                # ⚓ Unicorn Media ☛ AOL_Says_‘Sayonara’_to_Dial-Up,_Ending_an
                  Internet_Era⠀⇛


                       After 34 years of beeps, boops, and busy signals,
                       AOL is finally hanging up on dial-up. One last
                       ‘you’ve got mail’ before an internet era fades into
                       history.


      § Monopolies/Monopsonies⠀➾


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


    * Links_10/08/2025:_Webrings,_“AI_Sunglasses”_and_“AI_Eyeglasses”,_US
      Administration_Intensifies_Attacks_on_Science_and_Research
    * Gemini_Links_10/08/2025:_Residents_Management_Company,_Automation,_and
      Politics



                    ䷩ 𝚕𝚒𝚗𝚎 4388

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Links 10/08/2025: From Social Control Media
to Prison, New Examples of Windows TCO⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Aug 10, 2025


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Interview⦈_


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * Leftovers
          o Science
          o Hardware
          o Health/Nutrition/Agriculture
          o Proprietary
                # Social_Control_Media
                # Windows_TCO_/_Windows_Bot_Nets
          o Security
          o Defence/Aggression
          o Environment
                # Energy/Transportation
          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 Monopolies/Monopsonies
    * § Leftovers⠀➾


          o § Science⠀➾


                # ⚓ Science Alert ☛ A_Nuclear_Winter_Could_Destroy_Much_of_The
                  World's_Food_Supply⠀⇛


                       Some regions fare better than others.


                # ⚓ Science Alert ☛ Concerns_Emerge_Over_Potential_Cancer_Links
                  to_Drugs_Like_Ozempic⠀⇛


                       Here's what we know so far.


                # ⚓ Science Alert ☛ Parkinson's_Link_to_Gut_Bacteria_Hints_at
                  an_Unexpected,_Simple_Treatment⠀⇛


                       Inching closer to the full picture.


                # ⚓ Science Alert ☛ Alzheimer's_Breakthrough:_Lithium_Reverses
                  Memory_Loss_in_Mice⠀⇛


                       "Deficiency could be a cause of Alzheimer's
                       disease."


                # ⚓ Science Alert ☛ A_Routine_Vaccine_May_Lower_Dementia_Risk
                  by_as_Much_as_20%⠀⇛


                       Scientists say this could lead to other
                       breakthroughs.


          o § Hardware⠀➾


                # ⚓ Kai Uwe ☛ New_Hardware_Fun⠀⇛


                       The device shipped with backdoored Windows 11 and
                       whenever I touch a backdoored Windows machine I’m
                       baffled that people put up with this. I connected
                       it to Wifi (beginner’s mistake apparently) since I
                       wanted to install all firmware updates and salvage
                       a couple of things from it before formatting the
                       SSD (ICC profiles, Dolby audio presets, etc). The
                       first run wizard asked me for my choice of locale,
                       then went looking for updates. Once done, the
                       system rebooted. After that it asked me to give the
                       computer a name. Guess what? Another reboot, and
                       more updates. And then the dreaded compulsory
                       Abusive Monopolist Microsoft account I had no
                       intention of creating. You can open a terminal by
                       pressing Shift+F10 but the old bypassnro trick just
                       led to a reboot and it asking the same questions
                       again. Just when I was about to give up, Bhushan
                       showed me another trick how to create a local
                       account. Indeed, after yet another reboot and
                       clicking away like 10 individual nag screens about
                       privacy and cloud stuff, I was able to log into the
                       system.


                # ⚓ New York Times ☛ Dihydroxyacetone_Man_Attack_on_Intel’s
                  C.E.O._Could_Compound_Factory_Struggles⠀⇛


                       The challenges in Ohio highlight the risks that
                       federal and state officials took when they
                       financially backed Intel, a once-powerful force in
                       chip manufacturing.


                # ⚓ Tom's Hardware ☛ Intel's_chairman_reportedly_tried_to_sell
                  fabs_to_TSMC,_CEO_Lip-Bu_Tan_opposed⠀⇛


                       Intel CEO Lip-Bu Tan's push to retain in-house chip
                       manufacturing has put him at odds with chairman
                       Frank Yeary and other directors who explored
                       spinning off or selling defective chip maker Intel
                       Foundry to TSMC.


                # ⚓ Hackaday ☛ Tearing_Down_A_Mysteriously_Cheap_$5_Fiber_Optic
                  To_Cable_TV_Adapter⠀⇛


                       In his regular browsing on AliExpress, [Ben
                       Jeffrey] came across something he didn’t
                       understand—a $5 fiber optic to RF cable TV adapter.
                       It was excessively cheap, and even more
                       mysteriously, this thing didn’t even need power. He
                       had to know how it worked, so he bought one and got
                       down to tinkering with it.


                # ⚓ Hackaday ☛ Clock_Of_Clocks_Expands,_Goes_Digital⠀⇛


                       Some people just want to have their cake and eat it
                       too, but very few of us ever get to pull it off.
                       [Erich Styger] has, though with V5 of his
                       “MetaMetaClock”— a clock made of clocks, that uses
                       the orientation of the hands to create digits.


          o § Health/Nutrition/Agriculture⠀➾


                # ⚓ Science Alert ☛ Massive_Study_Links_8_Genetic_Signals_to
                  Chronic_Fatigue_Syndrome⠀⇛


                       Relief for all who've been stigmatized.


                # ⚓ Pro Publica ☛ Funding_for_Landmark_Maternal_Health_Program,
                  ERASE_MM,_Is_at_Risk⠀⇛


                       Seven years ago, when President Donald Trump signed
                       the Preventing Maternal Deaths Act into law, it was
                       hailed as a crucial step toward addressing the
                       nation’s maternal mortality crisis.


                       The law pumped tens of millions of dollars a year
                       into a program to help fund state committees that
                       review maternal deaths and identify their causes.
                       The committees’ findings have led to new protocols
                       to prevent hemorrhage, sepsis and suicide. Federal
                       money has allowed some states to establish panels
                       for the first time.


                # ⚓ New York Times ☛ Dihydroxyacetone_Man_Just_Shrugs_as
                  Kennedy_Undermines_His_Vaccine_Legacy⠀⇛


                       Hell Toupée’s laissez-faire approach is notable,
                       given that the development of the Covid vaccine was
                       seen as one of his first term’s most notable
                       achievements.


                # ⚓ Deutsche Welle ☛ 2025-08-02_[Older]_How_India's_Gen_Z_is
                  redefining_spirituality⠀⇛


          o § Proprietary⠀➾


                # § Social Control Media⠀➾


                      # ⚓ Hong Kong Free Press ☛ Hong_Kong_man’s_incitement_to
                        subversion_case_under_nat._security_law_transferred_to
                        District_Court⠀⇛


                             A Hong Kong man charged with inciting
                             subversion under the Beijing-imposed national
                             security law will have his case transferred
                             to the District Court, where he faces up to
                             seven years’ imprisonment if convicted. Chan
                             Ho-hin, a former waiter, appeared at the West
                             Kowloon Magistrates’ Courts on Wednesday in a
                             case linked to social control media posts
                             [...]


                # § Windows TCO / Windows Bot Nets⠀➾


                      # ⚓ Pen Test Partners ☛ Thumbnail_forensics._DFIR
                        techniques_for_analysing_backdoored_Windows
                        Thumbcache⠀⇛


                             TL;DR Introduction backdoored Windows
                             thumbnail cache, or thumbcache, is a well-
                             known forensic artifact, but often one that
                             is overlooked. The thumbcache stores small
                             previews of images, videos and documents and
                             can persist even after the original files are
                             deleted, which offers analysts an opportunity
                             to uncover traces of user activity.


                      # ⚓ Hackaday ☛ One_File,_Six_Formats:_Just_Change_The
                        Extension⠀⇛


                             Normally, if you change a file’s extension in
                             Windows, it doesn’t do anything positive. It
                             just makes the file open in the wrong
                             programs that can’t decode what’s inside.
                             However, [PortalRunner] has crafted a file
                             that can behave as six different filetypes,
                             simply by swapping out the extension at the
                             end of the filename.


          o § Security⠀➾


                # ⚓ Security Week ☛ In_Other_News:_Nvidia_Says_No_to_Backdoors,
                  Satellite_Hacking,_Energy_Sector_Assessment⠀⇛


                       Noteworthy stories that might have slipped under
                       the radar: federal court filing system hack, Chanel
                       data breach, emergency CISA directive.


                # ⚓ Security Week ☛ Help_Desk_at_Risk:_Scattered_Spider_Shines
                  Light_on_Overlook_Threat_Vector⠀⇛


                       As attackers target help desks and identity
                       systems, traditional security perimeters are
                       proving insufficient against agile, socially-
                       engineered threats.


                # ⚓ Security Week ☛ French_Telecom_Firm_Bouygues_Says_Data
                  Breach_Affects_6.4M_Customers⠀⇛


                       Bouygues has been targeted in a cyberattack that
                       resulted in the personal information of millions of
                       customers getting compromised.


                # ⚓ Security Week ☛ CodeSecCon_2025:_Where_Software_Security’s
                  Next_Chapter_Unfolds⠀⇛


                       Taking place August 12-13, CodeSecCon is the
                       premier virtual event bringing together developers
                       and cybersecurity professionals to revolutionize
                       the way applications are built, secured, and
                       maintained.


                       >


          o § Defence/Aggression⠀➾


                # ⚓ Deutsche Welle ☛ 2025-08-02_[Older]_Romania_ready_to_talk
                  about_Sinti_and_Roma_genocide⠀⇛


                # ⚓ Deutsche Welle ☛ 2025-08-06_[Older]_Why_is_Saudi_Arabia
                  leading_push_for_Palestinian_statehood?⠀⇛


                # ⚓ US News And World Report ☛ 2025-08-04_[Older]_France_and
                  Saudis_Vow_to_Keep_up_Momentum_for_'Two-State_Solution'_to
                  Israel-Palestinian_Conflict⠀⇛


                # ⚓ Scoop News Group ☛ Federal_courts_to_ramp_up_filing_system
                  security_after_‘recent_escalated_cyberattacks’⠀⇛


                       The statement from the U.S. court system follows
                       reports that the judiciary suffered a recent cyber
                       breach.


                # ⚓ The Strategist ☛ Friends_to_all:_Tonga_values_independence
                  while_being_reliable_security_partner⠀⇛


                       Tonga’s unique political structure helps ensure its
                       foreign partnerships are among the region’s most
                       stable.


                # ⚓ The Straits Times ☛ Australia_urges_Israel_not_to_take
                  military_control_of_Gaza⠀⇛


                       The comments come as Israel's security Cabinet
                       approved a plan to take over Gaza City.


                # ⚓ CS Monitor ☛ Israeli_security_Cabinet_expands_the_war_in
                  Gaza⠀⇛


                       Israel’s security Cabinet decides to expand Gaza
                       War in bid to destroy Hamas


                # ⚓ New York Times ☛ Israeli_Security_Cabinet_Approves_Military
                  Takeover_of_Gaza⠀⇛


                       The announcement appeared to stop short of saying
                       explicitly that Israel would take full control of
                       the Gaza Strip, which Prime Minister Benjamin
                       Netanyahu said was his intention earlier.


                # ⚓ New York Times ☛ What_to_Know_About_the_Israeli_Hostages
                  Still_Held_in_Gaza⠀⇛


                       A group representing many of the hostages’ families
                       has said the Israeli security cabinet’s plan to
                       take control of Gaza City could further endanger
                       their loved ones.


                # ⚓ France24 ☛ What's_Israeli_PM's_plan_to_control_Gaza_and_end
                  the_war?⠀⇛


                       Israeli Prime Minister Netanyahu’s conditions to
                       end the war include defeating and disarming Hamas,
                       releasing all hostages, and maintaining Israeli
                       security control over Gaza. While Israel plans to
                       keep military oversight, civilian governance would
                       be handed to a third party supported by Arab
                       states. The Israeli cabinet has officially approved
                       Netanyahu’s plan.


                # ⚓ France24 ☛ Israel_cabinet_approves_plan_to_take_over_Gaza
                  despite_army_misgivings⠀⇛


                       Israel’s military will take control of Gaza City
                       under a plan by Prime Minister Benjamin Netanyahu,
                       approved by his security cabinet, to 'defeat' Hamas
                       while delivering aid outside combat zones. Nearly
                       two years into the war, Netanyahu faces growing
                       pressure for a truce to avert famine and free
                       hostages. FRANCE 24's Noga Tarnopolsky has more
                       from Jerusalem.


          o § Environment⠀➾


                # ⚓ Deutsche Welle ☛ 2025-08-02_[Older]_Japan_braces_for_more
                  heat_after_hottest_July_on_record⠀⇛


                # ⚓ BIA Net ☛ 2025-08-01_[Older]_Turkey_records_all-time_high
                  temperature_in_July_heatwave⠀⇛


                # § Energy/Transportation⠀➾


                      # ⚓ WhichUK ☛ Which?_calls_for_Citroën_to_urgently
                        improve_shameful_recall_handling⠀⇛


                             Repair delays and unclear compensation just
                             two of many flaws with Stellantis' recall
                             campaign


                      # ⚓ Tom's Hardware ☛ Tesla_scraps_custom_Dojo_wafer-level
                        processor_initiative,_dismantles_team_—_MElon_to_lean
                        on_Nvidia_and_AMD_more⠀⇛


                             Tesla is shutting down its Dojo supercomputer
                             program, reassigning staff and leaning more
                             on AMD and Nvidia. Tesla's eventual designs
                             expected to rely on a unified architecture
                             spanning from edge devices to data centers.


          o § Finance⠀➾


                # ⚓ Mexico News Daily ☛ Central_bank_slows_rate_cuts,_but_still
                  brings_interest_rate_to_a_3-year_low⠀⇛


                       The rate cut was half the size of the four previous
                       cuts as the bank's governors seek a balance between
                       lowering inflation and boosting the economy.


                # ⚓ Latvia ☛ Annual_inflation_rate_remained_at_3.8%_during_July
                  in_Latvia⠀⇛


                       July saw Latvia's annual inflation rate remaining
                       at 3.8%, according to data published by the Central
                       Statistics Bureau (CSB) on August 8th.


          o § AstroTurf/Lobbying/Politics⠀➾


                # ⚓ New Yorker ☛ Your_Questions_Answered:_Convicted_Felon_vs.
                  the_Rule_of_Law⠀⇛


                       Jeannie Suk Gersen and Ruth Marcus, who write about
                       the law for The New Yorker, address listeners’
                       pressing questions about the Convicted Felon
                       Administration’s legal controversies.


          o § Censorship/Free Speech⠀➾


                # ⚓ Hong Kong Free Press ☛ Hong_Kong_activist_Joshua_Wong’s
                  second_nat._security_case_to_be_transferred_to_High_Court⠀⇛


                       Hong Kong activist Joshua Wong’s second national
                       security case will be transferred to the High
                       Court, where he may face life imprisonment if
                       convicted. Wearing a white T-shirt and a black
                       jacket, Wong appeared at West Kowloon Magistrates’
                       Courts on Friday.


                # ⚓ JURIST ☛ Arrest_of_former_Macao_lawmaker_under_national
                  security_law_sparks_international_concern⠀⇛


                       Human Rights Watch (HRW) on Wednesday called for
                       the immediate and unconditional release of a former
                       Macao lawmaker following his arrest under national
                       security charges. The arrest marked the first time
                       Macao, a Special Administrative Region of China,
                       has invoked its sweeping Law on Safeguarding
                       National Security. 


                # ⚓ Digital Music News ☛ Court_Grants_Drake’s_Motion_to_Serve
                  Kojo_Menne_Asamoah_in_UMG_Lawsuit⠀⇛


                       Drake’s motion to subpoena Kojo Menne Asamoah in
                       his defamation suit against UMG has been granted,
                       with discovery forthcoming. Drake and his legal
                       team have been granted permission to serve alleged
                       key witness Kojo Menne Asamoah after filing a
                       motion requesting to subpoena him last month.


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


                # ⚓ Press Gazette ☛ Leon_Hickman:_‘Peerless’_journalist_who
                  headed_up_sport_at_Birmingham_Post_for_decades⠀⇛


                       Leon Hickman has died aged 84 and worked at
                       Birmingham Mail for 29 years.


                # ⚓ Press Gazette ☛ 2025_journalism_job_cuts_tracked:_August
                  starts_with_layoffs_at_Vox_Media_and_Wyoming_local
                  newspapers⠀⇛


                # ⚓ Press Gazette ☛ Nearly_1,000_journalists_sign_new_petition
                  urging_end_to_Gaza_‘information_blackout’⠀⇛


                       Move comes as press freedom groups say Gaza
                       journalists starving to death.


          o § Civil Rights/Policing⠀➾


                # ⚓ Deutsche Welle ☛ 2025-08-02_[Older]_Germany_updates:
                  Domestic_violence_at_all-time_high_—_report⠀⇛


                # ⚓ US News And World Report ☛ 2025-08-01_[Older]_Turkey,_Italy
                  and_Libya_Leaders_Discuss_Mediterranean_Migration_Route,
                  Cooperation⠀⇛


                # ⚓ BIA Net ☛ 2025-08-05_[Older]_The_women_of_the_land:_The
                  silent_revolution_of_ecofeminism_in_Turkey⠀⇛


                # ⚓ BIA Net ☛ 2025-08-06_[Older]_Rights_group_documents_over
                  26,000_violations_in_Turkey’s_prisons_in_2024⠀⇛


                # ⚓ ANF News ☛ 2025-08-07_[Older]_Petition_for_immediate
                  suspension_of_Mehmet_Çakas'_deportation_from_Germany_to
                  Turkey⠀⇛


                # ⚓ US News And World Report ☛ 2025-08-06_[Older]_Turkey
                  Arrests_Youth_Activist,_Drawing_European_Protest⠀⇛


          o § Internet Policy/Net Neutrality⠀➾


                # ⚓ Michael Geist ☛ Carney’s_Digital_Recalibration:_How_the
                  Government_is_Trending_Away_from_Justin_Trudeau’s_Digital
                  Policy⠀⇛


                       Digital policies did not play a prominent role in
                       the last election given the intense focus on the
                       Canada-U.S. relationship. Prime Minister Mark
                       Carney started as a bit of a blank slate on the
                       issue, but over the past few months a trend has
                       emerged as he distances himself from the Justin
                       Trudeau approach with important shifts on telecom,
                       taxation, and the regulation of artificial
                       intelligence. Further, recent hints of an openness
                       to re-considering the Online News Act and
                       heightened pressure from the U.S. on the Online
                       Streaming Act suggests that a full overhaul may be
                       a possibility.


                # ⚓ Internet Society ☛ The_Internet_of_Wonder:_How_a_Scientific
                  Livestream_Became_a_Cultural_Phenomenon⠀⇛


                       A scientific expedition in Argentina is becoming a
                       cultural phenomenon thanks to the Internet, pulling
                       in thousands of livestream viewers.


      § Monopolies/Monopsonies⠀➾


    * Sloppy_Reporting_About_Slop,_or_How_The_Register_MS_Lowers_Its_Standards
    * Simpler_is_Better_When_Simple_is_Enough



                    ䷩ 𝚕𝚒𝚗𝚎 4985

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Links 10/08/2025: Webrings, “AI Sunglasses”
and “AI Eyeglasses”, US Administration Intensifies Attacks on Science and
Research⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Aug 10, 2025


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Core_dumped⦈_


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * Leftovers
          o Science
          o Career/Education
          o Health/Nutrition/Agriculture
          o Proprietary
          o Privatisation/Privateering
          o Security
                # Integrity/Availability/Authenticity
                # Privacy/Surveillance
                # Confidentiality
          o Defence/Aggression
          o Transparency/Investigative_Reporting
          o Environment
                # Energy/Transportation
                # Wildlife/Nature
          o AstroTurf/Lobbying/Politics
          o Censorship/Free_Speech
          o Freedom_of_Information_/_Freedom_of_the_Press
          o Civil_Rights/Policing
          o Internet_Policy/Net_Neutrality
          o Digital_Restrictions_(DRM)
          o Monopolies/Monopsonies
                # Patents
                # Trademarks
                      # Right_of_Publicity
                # Copyrights
    * § Leftovers⠀➾


          o ⚓ The Independent UK ☛ New_York_state_could_owe_$10m_for_[Internet]
            famous_P’Nut_the_Squirrel’s_execution⠀⇛


                 On October 30, Longo claimed he was trying to get the
                 proper licensing for Peanut to be certified as an
                 educational animal. However, he had failed to comply with
                 state laws that require owners to get a license for a
                 wild animal in time.


          o ⚓ Nick Heer ☛ ‘Mood_Machine’⠀⇛


                 The goals of art and commerce are basically opposite. Art
                 fills our soul; it gives us emotional life. I have rarely
                 heard anyone describe commerce similarly.


          o ⚓ Joel Chrono ☛ Webrings,_Clubs_and_Blogrolls_I'm_part_of⠀⇛


                 Nowadays I still keep the last two, with a simple
                 redirect, but I have been exploring around looking for
                 websites linking to me and sending emails for them
                 requesting to update my web address and so.


                 Because of this process, I’ve encountered websites that
                 have added me to their blogrolls or linked me in some
                 way, and I thought it’d be fun to share some of those.
                 While we are at it, I have linked to some other sites
                 that I’m a part of, from clubs, webrings, viral
                 challenges, independent search engines and some other
                 mentions I found.


          o ⚓ University of Toronto ☛ My_policy_of_semi-transience_and_why_I
            have_to_do_it⠀⇛


                 Some time back I read Simon Tatham's Policy of transience
                 (via) and recognized both points of similarity and points
                 of drastic departure between Tatham and I. Both Tatham
                 and I use transient shell history, transient terminal and
                 application windows (sort of for me), and don't save our
                 (X) session state, and in general I am a 'disposable'
                 usage pattern person. However, I depart from Tatham in
                 that I have a permanently running browser and I normally
                 keep my login sessions running until I reboot my
                 desktops. But broadly I'm a 'transient' or 'disposable'
                 person, where I mostly don't keep inactive terminal
                 windows or programs around in case I might want them
                 again, or even immediately re-purpose them from one use
                 to another.


          o ⚓ YLE ☛ Flags_fly_for_Moomin_creator_on_Saturday⠀⇛


                 Jansson, beloved worldwide for her Moomin stories, was
                 also a celebrated painter, illustrator and cartoonist. As
                 a Swedish-speaking Finn, she wrote in Swedish, but her
                 tales have wandered into more than 50 languages, carrying
                 Moominvalley far beyond Finland's borders.


                 She published the first Moomin book, The Moomins and the
                 Great Flood, just after the Second World War in 1945.


          o ⚓ Today_I_Learned_About_“AI_Sunglasses”_and_“AI_Eyeglasses”⠀⇛


                 We all love to joke about buzzwords like “AI” spinning
                 out of control.


                 Sometimes some of us joke about hypothetical “AI”
                 products.


          o § Science⠀➾


                # ⚓ Los Angeles Times ☛ Trump_order_gives_politicians_control
                  over_federal_grants,_alarming_researchers⠀⇛


                       An executive order signed by President Trump this
                       week aims to give political appointees power over
                       the billions of dollars in grants awarded by
                       federal agencies.


                       Scientists say it threatens to undermine the
                       process that has helped make the U.S. the world
                       leader in research and development.


          o § Career/Education⠀➾


                # ⚓ Unmitigated Risk ☛ Talent_Isn’t_a_Security_Strategy⠀⇛


                       One of the best parts of Black Hat is the hallway
                       track. Catching up with friends you’ve known for
                       years, swapping war stories, and pointing each
                       other toward the talks worth seeing. This year I
                       met up with a friend who, like me, has been in the
                       security world since the nineties. We caught up in
                       person and decided to sit in on a session about a
                       new class of AI attacks.


                # ⚓ Nebraska Examiner ☛ NU_will_offer_tenured_faculty_buyout
                  program_to_help_close_budget_gaps⠀⇛


                       This is the fourth buyout program NU has offered
                       since 2010, the others in 2014 and 2019.


          o § Health/Nutrition/Agriculture⠀➾


                # ⚓ Futurism ☛ Scientists_Fed_One_Group_of_People
                  Ultraprocessed_Foods_and_Another_Group_Whole_Foods,_and_the
                  Difference_in_What_Happened_to_Them_Was_Wild⠀⇛


                       And zooming in a bit, the researchers found that
                       losses in fat mass, body fat percentage, visceral
                       fat rating and total body water mass were
                       "significantly lower" on the whole food diet, but
                       not the ultraprocessed one. Participants on the
                       processed diet also reported a greater number of
                       "adverse events," like constipation, acid reflux,
                       fatigue, and infections.


                # ⚓ Science Alert ☛ Microplastics_Are_Infiltrating_Your_Brain.
                  What_Are_The_Effects?⠀⇛


                       The effects that microplastics and even smaller
                       nanoplastics have on human health is not yet fully
                       understood, but researchers have been working to
                       find out more in this relatively new field.


                       The most prominent study looking at microplastics
                       in brains was published in the journal Nature
                       Medicine in February.


                       The scientists tested brain tissue from 28 people
                       who died in 2016 and 24 who died last year in the
                       US state of New Mexico, finding that the amount of
                       microplastics in the samples increased over time.


                # ⚓ Los Angeles Times ☛ California_farmworkers_still_die_from
                  heat_illness_20_years_after_law⠀⇛


                       Cal/OSHA says it is working to improve enforcement,
                       even as several lawmakers say that laborers
                       continue to be exposed to brutally hot working
                       conditions.


                # ⚓ Science Alert ☛ A_Nuclear_Winter_Could_Destroy_Much_of_The
                  World's_Food_Supply⠀⇛


                       A new study shows just how badly global food
                       production would fare under different nuclear
                       winter scenarios.


                       Nuclear winter is a devastating climate effect
                       theorized to follow large-scale nuclear conflict
                       where blasts of nuclear weapons and the resulting
                       firestorms inject huge amounts of soot and dust
                       into the atmosphere. This would reduce the amount
                       of sunlight reaching the surface for years at a
                       time, in turn killing off many plants and animals –
                       including those we rely on for food.


                # ⚓ Science Alert ☛ Plastic's_Impact_on_Health_Costs_$1.5
                  Trillion_Every_Year,_Report_Warns⠀⇛


                       Plastic pollution is a "grave, growing and under-
                       recognised danger" to health that is costing the
                       world at least $1.5 trillion a year, experts warned
                       in a report on Monday.


                       The new review of the existing evidence, which was
                       carried out by leading health researchers and
                       doctors, was published one day ahead of fresh talks
                       opening in Geneva aiming to seal the world's first
                       treaty on plastic pollution.


          o § Proprietary⠀➾


                # ⚓ The Register UK ☛ The_inside_story_of_the_Telemessage
                  saga⠀⇛


                       DEF CON On Saturday at DEF CON, security boffin
                       Micah Lee explained just how he hacked into
                       TeleMessage, the supposedly secure messaging app
                       used by White House officials, which in turn led to
                       a massive database dump of their communications.


                # ⚓ Security Week ☛ Free_Wi-Fi_Leaves_Buses_Vulnerable_to
                  Remote_[Cracking]⠀⇛


                       They demonstrated various scenarios, including how
                       [attackers] could track the exact location of a bus
                       or access the onboard camera, which is protected by
                       easy-to-guess default passwords.


                # ⚓ Wired ☛ A_Misconfiguration_That_Haunts_Corporate_Streaming
                  Platforms_Could_Expose_Sensitive_Data⠀⇛


                       Independent researcher Farzan Karimi first realized
                       years ago that misconfigurations in application
                       programming interfaces, or APIs, exposed streaming
                       content to unauthorized access. In 2020 he
                       disclosed a set of such flaws to Vimeo that could
                       have allowed him to access close to 2,000 internal
                       company meetings along with other types of
                       livestreams. The company quickly fixed the issue at
                       the time, but the finding left Karimi with concerns
                       that similar problems could be lurking in other
                       platforms.


                # ⚓ Politico LLC ☛ Federal_court_filing_system_hit_in_sweeping_
                  [breach]⠀⇛


                       The Administrative Office of the U.S. Courts —
                       which manages the federal court filing system —
                       first determined how serious the issue was around
                       July 4, said the first person. But the office,
                       along with the Justice Department and individual
                       district courts around the country, is still trying
                       to determine the full extent of the incident.


                # ⚓ Simon Willison ☛ When_a_Jira_Ticket_Can_Steal_Your
                  Secrets⠀⇛


                       Zenity Labs describe a classic lethal trifecta
                       attack, this time against Cursor, MCP, Jira and
                       Zendesk. They also have a short video demonstrating
                       the issue.


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


                      # ⚓ Futurism ☛ Tesla_Shutting_Down_Its_AI_Supercomputer
                        As_Staff_Leaves_in_Droves_to_Join_Competitor⠀⇛


                             As Bloomberg reports, the head of the
                             project, dubbed Dojo and which CEO Elon Musk
                             used to hype up immensely, is leaving the
                             company. The team has already lost around 20
                             workers to a separate data center firm that's
                             been poaching former Tesla executives.


                             The rest of the team will reportedly be
                             reassigned to other data center projects.


                      # ⚓ The Washington Post ☛ Fooled_by_trampoline_bunnies?
                        Why_tips_to_spot_AI_videos_don’t_work.⠀⇛


                             But these sleuthing tactics are rapidly
                             becoming obsolete. Technology that can
                             conjure people, animals and entire scenes is
                             advancing so quickly that professionals warn
                             it’s hard for them to tell what’s real or AI.


                             “The tech has gotten so good that even the
                             Ivy League PhDs on our team can’t tell the
                             difference,” said Ben Colman, CEO of AI
                             detection company Reality Defender. “And if
                             they can’t tell the difference with their
                             naked eyes, how can my parents or my kids
                             ever stand a chance?”


                             We must stop trying to be AI detectives. It
                             won’t work. So now what?


                      # ⚓ Pivot to AI ☛ AI_Alexa+_rolls_out_at_last!_…_It’s_not
                        so_great⠀⇛


                             Alexa+ randomly ignores you mid-conversation
                             and gives wrong answers about where to find
                             its own settings.


                      # ⚓ Pivot to AI ☛ OpenAI_announces_GPT-5!_Please
                        Microsoft,_don’t_kill_us⠀⇛


                             But I think the main reason OpenAI did a big
                             splash GPT-5 announcement now is because
                             OpenAI has to keep showing momentum —
                             especially when there isn’t any.


                             OpenAI needs to keep the funding coming in.
                             In particular, OpenAI needs to turn from a
                             non-profit into an ordinary for-profit
                             company by the end of the year to get the
                             full funding from SoftBank — and Microsoft
                             isn’t keen. A big part of the GPT-5 push is
                             to help convince Microsoft that OpenAI is
                             worth keeping around as a separate entity.


                      # ⚓ [Old] Julien Simon ☛ Why_MCP’s_Disregard_for_40_Years
                        of_RPC_Best_Practices_Will_Burn_Enterprises_|_by_Julien
                        Simon_|_Jul,_2025⠀⇛


                             MCP advocates position the protocol as
                             production-ready infrastructure, but its
                             design philosophy, prioritizing ease of
                             adoption over operational robustness, creates
                             a ticking time bomb for enterprises. The same
                             simplicity that enables a developer to
                             integrate a tool in an afternoon becomes a
                             liability when that tool handles millions of
                             requests with real business impact.


                             The AI hype cycle has accelerated adoption
                             beyond the architectural maturity of MCP.
                             Companies are deploying MCP not because it
                             meets their operational requirements, but
                             because the AI gold rush demands immediate
                             action. This mismatch between expectations
                             and capabilities will lead to painful
                             production failures.


                # § Social Control Media⠀➾


                      # ⚓ The Zambian Observer ☛ “I’m_Not_on_Social_Media”:
                        Kuda_Tagwirei_Disowns_All_Social_Media_Accounts⠀⇛


                             In a statement issued by Sakunda’s Public
                             Relations Department on his behalf, Dr
                             Tagwirei made it clear that he currently does
                             not have any presence on any social media
                             platform, including X (formerly Twitter),
                             Facebook, Instagram, YouTube, or others.


                             The statement warns that these fake accounts
                             are being used to spread false information
                             and, in some cases, scam unsuspecting people
                             out of money. Members of the public have been
                             strongly advised not to engage with or trust
                             any pages claiming to represent him.


                # § Windows TCO / Windows Bot Nets⠀➾


                      # ⚓ The Record ☛ Embargo_ransomware_gang_has_handled_at
                        least_$34_million_in_about_a_year,_report_says_|_The
                        Record_from_Recorded_Future_News⠀⇛


                             Like BlackCat, Embargo is a ransomware-as-a-
                             service operation, providing affiliates with
                             the tools they need to conduct attacks while
                             taking a cut of any proceeds.


                             Embargo, however, “retains control over core
                             operations — including infrastructure and
                             payment negotiations,” TRM Labs said. “This
                             model enables threat actors to rapidly scale
                             their operations and target a broad range of
                             sectors and geographies.”


                      # ⚓ The Register UK ☛ Ex-White_House_cyber_guru_talks
                        Microsoft_security_fails⠀⇛


                             "The Chinese are so well prepared and
                             positioned on Microsoft products that in the
                             event of hostilities, we know for a fact that
                             Chinese actors will target our critical
                             infrastructure through Microsoft products for
                             two reasons," he said. "One: [Microsoft
                             products] are everywhere within our digital
                             ecosystem. And two: they are so vulnerable
                             that the Chinese familiarity of them makes it
                             a door already open. So that's what gives me
                             the political aneurysm here."


          o § Privatisation/Privateering⠀➾


                # ⚓ Wired ☛ Private_Companies_Are_Now_Gathering_Weather_Data
                  for_NOAA⠀⇛


                       If private services take the place of, rather than
                       supplement, the agency’s core data assets, that
                       could prove problematic, because “less data is
                       bad,” he said. “Are we actually saving money or
                       just giving taxpayer dollars to a private company?”


          o § Security⠀➾


                # § Integrity/Availability/Authenticity⠀➾


                      # ⚓ PC World ☛ This_PC_security_guru_fell_for_a_scam.
                        Here_are_3_lessons_from_his_mistake⠀⇛


                             You can read the full details of what
                             happened in the post, but I was most struck
                             by the lessons to take away from Hunt’s clear
                             account of the incident. Not just the things
                             to watch out for, but how to set up your
                             digital life so you’re still safe if you slip
                             up. Let’s dig in: [...]


                # § Privacy/Surveillance⠀➾


                      # ⚓ 404 Media ☛ It_Looks_Like_a_School_Vape_Detector._A
                        Teen_Hacker_Showed_It_Could_Become_an_Audio_Bug⠀⇛


                             The Halo 3C is a vape detector installed in
                             schools and public housing. A young hacker
                             found it contains microphones and that it can
                             be turned into an audio bug, raising privacy
                             concerns.


                      # ⚓ The Verge ☛ RFK_Jr._wants_a_wearable_on_every
                        American_—_that_future’s_not_as_healthy_as_he_thinks⠀⇛


                             Mine isn’t a unique experience. Several
                             studies and reports have found that wearables
                             can increase health anxiety. Anecdotally,
                             when a friend or acquaintance gets a new
                             wearable, I usually get one of two types of
                             messages. The first is an obsessive
                             recounting of their data and all the ways
                             they monitor food intake. The other is a
                             flurry of worried texts asking if their low
                             HRV, heart rate, or some other metric is a
                             sign that they’re going to die. Most of these
                             messages come from people who have had a
                             recent health scare, and I usually spend the
                             next hour teaching them how to interpret
                             their baseline data in less absolute terms.
                             And therein lies the rub. These devices
                             overloaded the people in my life with too
                             much information but not enough context. How
                             can anyone effectively “take control of their
                             health” if they’re struggling to understand
                             it?


                      # ⚓ The Register UK ☛ UK_passport_database_images_used_in
                        facial_recognition_scans⠀⇛


                             Big Brother Watch says the UK government has
                             allowed images from the country's passport
                             and immigration databases to be made
                             available to facial recognition systems,
                             without informing the public or parliament.


                             The group claims the passport database
                             contains around 58 million headshots of
                             Brits, plus a further 92 million made
                             available from sources such as the
                             immigration database, visa applications, and
                             more.


                      # ⚓ The Register UK ☛ UK_unveils_plans_to_'transform'_the
                        smart_meter_experience⠀⇛


                             The Department for Energy Security and Net
                             Zero plans "tough new obligations" for energy
                             suppliers to boost the long-delayed and
                             heavily over-budget UK rollout of smart
                             meters, while promising better support for
                             those who have already received such a
                             device.


                # § Confidentiality⠀➾


                      # ⚓ Dhole Moments ☛ Improving_Geographical_Resilience_For
                        Distributed_Open_Source_Teams_with_FREON_-_Dhole
                        Moments⠀⇛


                             In a recent blog post, I laid out the
                             argument that, if you have securely
                             implemented end-to-end encryption in your
                             software, then the jurisdiction where your
                             ciphertext is stored is almost irrelevant.


                             Where jurisdiction does come into play,
                             unfortunately, is where your software is
                             developed and whether or not the local
                             government will employ rubber-hose
                             cryptanalysis to backdoor your software.


                             If you’re a European, you probably already
                             assumed this sort of attack is inevitable in
                             America under the Trump administration.


          o § Defence/Aggression⠀➾


                # ⚓ The Independent UK ☛ ‘Children_like_me_had_to_carry
                  bodies’:_Japan_A-bomb_survivors_urge_world_not_to_forget_80
                  years_on⠀⇛


                       Ogura’s family had moved a year earlier to the far
                       side of a small hill just outside the city centre –
                       a decision, made by her father to avoid air raids,
                       that ultimately saved their lives. The hill stood
                       between their home and the bomb’s hypocentre,
                       shielding them from the full force of the blast.


                # ⚓ The Zambian Observer ☛ Spanish_town_bans_Muslim_religious
                  festivals_from_public_spaces⠀⇛


                       The proposal states “municipal sports facilities
                       cannot be used for religious, cultural or social
                       activities alien to our identity unless organised
                       by the local authority”.


                # ⚓ France24 ☛ Japan_marks_80_years_since_atomic_bombing_of
                  Nagasaki⠀⇛


                       Thousands observed a moment of silence on Saturday
                       to mark the 80th anniversary of the atomic bombing
                       of the Japanese city of Nagasaki as two of the
                       city’s cathedral bells chimed in unison for the
                       first time since the atrocity that ended World War
                       II – and changed the world forever.


                       [...]


                       Historians have debated whether the bombings
                       ultimately saved lives by bringing an end to the
                       conflict and averting a ground invasion.


                # ⚓ Deutsche Welle ☛ Nagasaki_warns_of_nuclear_war_on_80th_A
                  bomb_anniversary⠀⇛


                       Speaking at the ceremony, Nagasaki Mayor Shiro
                       Suzuki said humanity faced an imminent "existential
                       crisis," warning that the world is plagued with a
                       "vicious cycle of confrontation and fragmentation,"
                       Japan's Kyodo News reported.


                # ⚓ The Register UK ☛ Feds_blame_'coding_error'_for_deleting
                  parts_of_Constitution⠀⇛


                       It would be a simple matter to take the Library's
                       word when it said a coding error caused the issue,
                       but some [Internet] denizens weren't willing to
                       accept that excuse, as all three missing bits
                       related to one Trump controversy or another.


          o § Transparency/Investigative Reporting⠀➾


                # ⚓ Futurism ☛ What_Actually_Happens_If_You_Sign_Up_for_One_of
                  Those_Scammy_"Online_Jobs"_Is_Pretty_Fascinating⠀⇛


                       Deciding to see where those messages led, Sammon
                       responded and was soon introduced to "Cathy," his
                       "coach" who claimed, from a Los Angeles area code,
                       to be from Enschede, the Netherlands — though
                       strangely, she spelled it "Enksod," which wasn't
                       even the wildest misspelling she dropped on Sammon
                       by the end of the tale.


                # ⚓ 404 Media ☛ Congress_Launches_Investigation_into_Flock
                  After_404_Media_Reporting⠀⇛


                       Congressman Raja Krishnamoorthi's office said this
                       was “a formal investigation into Flock Group Inc.
                       over its role in enabling invasive surveillance
                       practices that threaten the privacy, safety, and
                       civil liberties of women, immigrants, and other
                       vulnerable Americans.”


          o § Environment⠀➾


                # ⚓ Deseret Media ☛ Utah_has_water_problems_now._What_if_the
                  megadrought_lasts_another_25_years?⠀⇛


                       The megadrought that's lasted 25 years so far could
                       continue parching Utah and the Southwest until
                       2050. Or maybe even the end of the century.


                       New research from the University of Texas indicates
                       global warming may disrupt a key atmospheric
                       pattern that brings winter precipitation to the
                       West — and could do so for decades to come.


                # ⚓ The Atlantic ☛ America_Is_Living_in_a_Climate-Denial
                  Fantasy⠀⇛


                       The United States and the rest of the planet are
                       now in “completely separate worlds” in terms of
                       legal understanding of climate responsibility, the
                       human-rights attorney Lotte Leicht, who works as
                       the advocacy director of the nonprofit Climate
                       Rights International, told me. “I think almost
                       nothing could have painted a starker picture,”
                       Nikki Reisch, an attorney and the Climate and
                       Energy Program director at the Center for
                       International Environmental Law, agrees.


                # ⚓ Los Angeles Times ☛ JD_Vance_went_kayaking_for_his
                  birthday._Secret_Service_had_the_river_level_raised⠀⇛


                       The U.S. Secret Service said it requested the
                       increased waterflow for the Little Miami River,
                       first reported by the Guardian, to ensure motorized
                       watercraft and emergency personnel “could operate
                       safely” while protecting the vice president, whose
                       home is in Cincinnati.


                       But critics immediately blasted the action as a
                       sign of the vice president’s entitlement,
                       particularly given the Trump administration’s focus
                       on slashing government spending.


                # ⚓ YLE ☛ Smoke_from_Canadian_wildfires_drifting_over_Finland⠀⇛


                       In some areas, the sunset may appear more intensely
                       red than usual, caused by smoke particles
                       scattering the sun's rays.


                # § Energy/Transportation⠀➾


                      # ⚓ Kansas Reflector ☛ Trump_EPA_claws_back_$7B_in_solar
                        funding_already_promised_to_states⠀⇛


                             “We are appalled and outraged at the U.S.
                             Environmental Protection Agency’s (EPA)
                             blatant and unlawful termination of $7
                             billion in federal funding for the 60
                             organizations that received awards through
                             the Solar for All program,” the five
                             Democratic members of Oregon’s congressional
                             delegation wrote in a Friday letter to Zeldin
                             and White House Budget Director Russell
                             Vought.


                             “Solar for All funding has been approved by
                             Congress and signed into law, and cancelling
                             or rescinding these obligated funds is a
                             violation of the law and the Constitution.”


                      # ⚓ The Guardian UK ☛ OpenAI_will_not_disclose_GPT-5’s
                        energy_use._It_could_be_higher_than_past_models⠀⇛


                             But experts who have spent the past years
                             working to benchmark the energy and resource
                             usage of AI models say those new powers come
                             at a cost: a response from GPT-5 may take a
                             significantly larger amount of energy than a
                             response from previous versions of ChatGPT.


                # § Wildlife/Nature⠀➾


                      # ⚓ Futurism ☛ Torn_Apart:_Robot_Crab_Meets_Terrible_Fate
                        When_Its_True_Nature_Is_Discovered_by_Real_Crabs⠀⇛


                             Initially, the males left Dave alone,
                             possibly because his larger claw was bigger —
                             and therefore more likely to win the
                             attention of females or pose a threat — than
                             their own. At some point, however, "the
                             females realized [the robot] was a bit odd,"
                             Wilde said, which led some of the male
                             fiddlers to confront him.


                             Unfortunately, things didn't turn out so well
                             for the little crab robot.


          o § AstroTurf/Lobbying/Politics⠀➾


                # ⚓ Michigan Advance ☛ EU’s_new_AI_code_of_practice_could_set
                  regulatory_standard_for_American_companies⠀⇛


                       American companies are split between support and
                       criticism of a new voluntary European AI code of
                       practice, meant to help tech companies align
                       themselves with upcoming regulations from the
                       European Union’s landmark AI Act.


                       The voluntary code, called the General Purpose AI
                       Code of Practice, which rolled out in July, is
                       meant to help companies jump-start their
                       compliance. Even non-European companies will be
                       required to meet certain standards of transparency,
                       safety, security and copyright compliance to
                       operate in Europe come August 2027.


                # ⚓ [Old] Bruce Schneier ☛ Security_and_the_Internet_of
                  Things⠀⇛


                       The scenarios I’ve outlined, both the technological
                       and economic trends that are causing them and the
                       political changes we need to make to start to fix
                       them, come from my years of working in [Internet]-
                       security technology and policy. All of this is
                       informed by an understanding of both technology and
                       policy. That turns out to be critical, and there
                       aren’t enough people who understand both.


                       This brings me to my final plea: We need more
                       public-interest technologists.


                # ⚓ The Zambian Observer ☛ Namibia_and_Zambia_to_allow_citizens
                  to_travel_using_ID_cards_only⠀⇛


                       In a landmark move to enhance regional integration,
                       Namibia and Zambia have agreed to allow their
                       citizens to travel between the two countries using
                       only national identity cards, eliminating the need
                       for passports.


                # § Misinformation/Disinformation/Propaganda⠀➾


                      # ⚓ Wired ☛ Truth_Social’s_New_AI_Chatbot_Is_Donald
                        Trump’s_Media_Diet_Incarnate⠀⇛


                             Truth Social owner Trump Media & Technology
                             Group launched the chatbot, called “Truth
                             Search AI,” on Wednesday. The bot is powered
                             by Perplexity AI, a search engine that
                             answers questions using large language models
                             and live web search. The company has garnered
                             investments from Amazon founder Jeff Bezos
                             and former Coinbase CTO and influential
                             investor Balaji Srinivasan.


          o § Censorship/Free Speech⠀➾


                # ⚓ BIA Net ☛ Court_blocks_access_to_detained_journalist_Fatih
                  Altaylı's_YouTube_channel⠀⇛


                       Altaylı, who was arrested on June 22 under charges
                       of allegedly threatening the president, continues
                       to draw significant attention despite his
                       incarceration. According to YouTube’s ratings
                       reports, Altaylı's channel saw a notable increase
                       in viewership since his arrest, with a rise of
                       7,938,846 viewers in July compared to June. As of
                       July, his monthly viewership reached over 28
                       million.


                # ⚓ The Moscow Times ☛ Award-Winning_Violinist_Placed_Under
                  House_Arrest_Over_Navalny_Donations⠀⇛


                       Sources cited by the local news outlet Chesnok said
                       Sorshneva, 42, had pleaded guilty to donating to
                       the late opposition leader Alexei Navalny’s banned
                       Anti-Corruption Foundation between August 2021 and
                       February 2022.


                # ⚓ The Verge ☛ What’s_a_smut_peddler_to_do_these_days?⠀⇛


                       To some creators, the most disheartening thing
                       about itch.io removing thousands of pages of adult
                       content is that it’s relatively unsurprising. The
                       storefront is one of several in recent years that
                       have embraced adult content only to shun it later
                       when payment processors start asking questions.
                       They’ve now found themselves booted from platform
                       to platform, moving from Tumblr to Patreon to
                       Gumroad, only to have the rug pulled out from under
                       them each time.


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


                # ⚓ The Record ☛ EU_law_to_protect_journalists_from_spyware
                  takes_effect⠀⇛


                       A landmark law meant to protect journalists in the
                       European Union from spyware and other forms of
                       surveillance came into effect Friday, but critics
                       at press freedoms groups say the measure could
                       ultimately prove toothless.


                       EU countries have done little to “align domestic
                       legislation with the rules outlined by the EMFA
                       (the European Media Freedoms Act), despite having
                       had more than one year to do so,” a coalition of
                       press freedom groups said in a joint statement,
                       referring to EMFA’s adoption in March 2024.


                # ⚓ Rolling Stone ☛ Michael_Lydon,_Founding_'Rolling_Stone'
                  Editor,_Dead_at_82⠀⇛


                       Lydon’s articles, including an investigation into
                       lost funds from the Monterey Pop Festival, began
                       appearing in the magazine’s first issue


                # ⚓ RFERL ☛ Kyiv_Mourns_Journalist_Tortured_Before_Dying_In
                  Russian_Detention⠀⇛


                       Roshchyna, a 27-year-old freelance journalist who
                       had previously worked with RFE/RL and other
                       prominent Ukrainian media outlets, went missing in
                       early August 2023. A year later, she called her
                       family from Russian custody, the only time they
                       heard from their daughter after her disappearance.


          o § Civil Rights/Policing⠀➾


                # ⚓ TruthOut ☛ 11_Years_After_Invasion,_Thousands_of_Yazidi
                  Women_and_Kids_Are_Still_Missing_|_Truthout⠀⇛


                       ISIS branded them heretics — fueling the militant
                       group’s campaign of mass killings, enslavement, and
                       attempted extermination.


                       Within days of the Sinjar takeover, thousands of
                       Yazidis were killed; almost half were executed by
                       shooting, beheading, or burning. The rest died from
                       starvation, dehydration, or injuries during the
                       ISIS siege of Mount Sinjar, where tens of thousands
                       had sought refuge from the invasion. Nearly 7,000
                       Yazidis were kidnapped. Women and girls, some as
                       young as nine, were sold into sexual slavery, while
                       boys were indoctrinated as child soldiers.


                # ⚓ Jamie Zawinski ☛ A_brief_history_of_the_FBI⠀⇛


                       It took a hundred years to create the Bureau as we
                       knew it. And it took one dinner at the White House
                       to destroy it.


                # ⚓ Asha Rangappa ☛ The_FBI_As_We_Knew_It_is_Gone⠀⇛


                       In February, I wrote a piece for Substack called “A
                       Battle for the Soul of the FBI.” That battle is
                       (pretty much) over, and I’m sad to say that the FBI
                       — at least the one we knew — lost. Weirdly, I’m
                       writing this on the same evening that William
                       Webster, the FBI’s third director, died at the age
                       of 101, a little more than a century after the
                       FBI’s first and longest-serving director, J. Edgar
                       Hoover, was appointed to lead the agency. It is
                       sort of a fitting marker of an end of an era, given
                       that as I write, FBI supervisors across the country
                       are receiving letters from current FBI Director
                       Kash Patel informing them that they are being
                       “summarily dismissed” in what is widely seen as an
                       agency-wide purge of agents deemed insufficiently
                       loyal to President Trump.


                # ⚓ The Independent UK ☛ Ride-share_apps_have_upped_safety
                  features._But_women’s_sexual_assault_claims_keep_coming⠀⇛


                       Uber received reports of sexual misconduct every
                       eight minutes from U.S. riders from 2017 through
                       2022, documents first reported by The New York
                       Times revealed this week. Over six years, that
                       totaled more than 400,000 Uber trips in the U.S.
                       resulting in reports of sexual assault and sexual
                       misconduct, according to the report.


                       Uber’s 2022 safety report disclosed 12,522 sexual
                       assault and misconduct reports over the same time
                       period. The tech company addressed the large
                       discrepancy in a statement posted on the company
                       website Wednesday after the Times published its
                       report.


                # ⚓ The Scotsman ☛ 'Please_help_us':_Why_Scotland_must_hear
                  voices_of_Afghan_women_suffering_under_Taliban's_gender
                  apartheid⠀⇛


                       A tube of red lipstick is a symbol of resistance –
                       and hope – in Afghanistan. In the country where
                       women are denied the most basic of human rights,
                       such as access to education, freedom of movement
                       and free speech, many women and girls carry out
                       hidden acts of rebellion every day.


                # ⚓ The Age AU ☛ US_Defence_Secretary_Pete_Hegseth_reposts
                  video_featuring_pastors_saying_women_shouldn’t_be_allowed_to
                  vote⠀⇛


                       The report featured a pastor from Wilson’s church
                       advocating the repeal of women’s right to vote from
                       the Constitution, and another pastor saying that in
                       his ideal world, people would vote as households.


                # ⚓ US Navy Times ☛ Hegseth_reposts_video_featuring_pastors
                  against_women’s_voting_rights⠀⇛


                       In the post, Hegseth commented on an almost seven-
                       minute-long report by CNN examining Doug Wilson,
                       co-founder of the Communion of Reformed Evangelical
                       Churches, or CREC. The report featured various
                       pastors of the denomination advocating the repeal
                       of women’s right to vote from the Constitution and
                       congregants saying that women should “submit” to
                       their husbands.


                # ⚓ Jacobin Magazine ☛ Childcare_Is_Not_Just_an_Economic_Fix.
                  It’s_a_Social_Good.⠀⇛


                       Even strong defenders of childcare sometimes rely
                       on the economic case that childcare programs keep
                       workers in the labor force. While it’s not wrong,
                       that argument misses the true role of childcare:
                       social infrastructure that keeps families
                       connected.


                # ⚓ Vintage Everyday ☛ Selk’nam_Woman_Carrying_Her_Child_on_Her
                  Back,_1923⠀⇛


                       The Selk’nam were victims of a brutal genocide in
                       the late 19th and early 20th centuries, especially
                       during European colonization and the gold rush era.
                       Ranchers and settlers saw them as obstacles to
                       development and often hunted them for bounties.


                       Missionaries attempted to “civilize” them by
                       forcibly relocating survivors and assimilating
                       them, leading to the loss of language and culture.
                       By the mid-20th century, the Selk’nam people were
                       functionally extinct as a distinct community.


          o § Internet Policy/Net Neutrality⠀➾


                # ⚓ America Online ☛ Dial-up_Internet_to_be_discontinued_-_AOL
                  Help⠀⇛


                       AOL routinely evaluates its products and services
                       and has decided to discontinue Dial-up Internet.
                       This service will no longer be available in AOL
                       plans. As a result, on September 30, 2025 this
                       service and the associated software, the AOL Dialer
                       software and AOL Shield browser, which are
                       optimized for older operating systems and dial-up
                       [Internet] connections, will be discontinued.


          o § Digital Restrictions (DRM)⠀➾


                # ⚓ Tech Central (South Africa) ☛ South_African_streaming_music
                  showdown⠀⇛


                       TechCentral’s latest analysis looks at pricing for
                       the individual plans of five streamers: Spotify,
                       Apple Music, YouTube Music, Deezer and Tidal.
                       Pricing for international markets, including the
                       US, the UK, Germany and Kenya, are given to give a
                       broader perspective about the cost of music
                       streaming around the world.


                # ⚓ Michigan News ☛ When_is_Amazon's_free_TV_app_shutting_down?
                  Service_coming_to_an_end_soon⠀⇛


                       Time is running out for users of the streaming TV
                       service Freevee as the platform is set to be shut
                       down soon. The free service -- which is owned by
                       Amazon -- offers a variety of ad-supported content
                       such as TV shows, movies and documentaries.


      § Monopolies/Monopsonies⠀➾


          o ⚓ Tom's Hardware ☛ Google_to_kill_Steam_for_Chromebook_beta_in_2026
            —_Installed_games_will_'no_longer_be_available_to_play'⠀⇛


                 Google has just announced that it will end its Steam for
                 Chromebook Beta program on January 1, 2026, with devices
                 losing access to installed games on that date. According
                 to 9to5Google, you can still install Steam on your
                 Chromebook through the ChromeOS Launcher, but it will
                 show a warning saying that support for the service is
                 ending soon.


          o ⚓ CoryDoctorow ☛ Pluralistic:_Millionaire_on_billionaire_violence⠀⇛


                 For the past year, I've been increasingly fascinated by a
                 political mystery: how has antitrust enforcement become a
                 global phenomenon after spending 40-years in a
                 billionaire-induced coma?


          o § Patents⠀➾


                # ⚓ US News And World Report ☛ Exclusive-Harvard_Patents
                  Targeted_by_Trump_Administration⠀⇛


                       Lutnick also said the Commerce Department has begun
                       a "march-in" process under the federal Bayh-Dole
                       Act that could let the government take ownership of
                       the patents or grant licenses.


          o § Trademarks⠀➾


                # § Right of Publicity⠀➾


                      # ⚓ Axios ☛ AI_deepfakes_after_death_could_help_grieving
                        families,_but_some_don't_want_it⠀⇛


                             Why it matters: As cheap and free generative
                             AI tools become capable of replicating
                             voices, faces and personalities, some people
                             are adding clauses to their wills to prevent
                             the creation of their digital likeness after
                             they die.


                      # ⚓ The Register UK ☛ Dead_need_right_to_delete_their
                        data_against_AI,_lawyer_says⠀⇛


                             People die but their data may endure, which
                             troubles legal scholar Victoria Haneman.


                             The emergence of generative AI means a
                             person's digital presence can be recreated
                             and revived, even if they or their family
                             don't want that kind of memorial.


          o § Copyrights⠀➾


                # ⚓ Torrent Freak ☛ Publishing_Giants_Escalate_War_on_'Shadow
                  Libraries'_With_Broad_Cloudflare_Subpoena⠀⇛


                       Major academic publishers, including Elsevier and
                       Springer Nature, are trying to unmask the operators
                       of several shadow libraries including Anna’s
                       Archive, Z-Library and Libgen. They're also
                       targeting SLUM, a third-party uptime monitor for
                       these unofficial libraries. A DMCA subpoena, issued
                       by a D.C. federal court, requires Cloudflare to
                       hand over identifying user data for possible legal
                       action.


    * Sometimes_Newer_is_Worse
    * Links_10/08/2025:_AOL_Ending_Dial-up


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