𝕿𝖊𝖈𝖍𝖗𝖎𝖌𝖍𝖙𝖘 Bulletin for Tuesday, September 10, 2024
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Generated Wed 11 Sep 02:49:18 BST 2024
Created by Dr. Roy Schestowitz (𝚛𝚘𝚢 (at) 𝚜𝚌𝚑𝚎𝚜𝚝𝚘𝚠𝚒𝚝𝚣 (dot) 𝚌𝚘𝚖)
Full hyperlinks for navigation omitted but are fully available in the originals
The corresponding HTML versions are at 𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈
Latest in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒕𝒙𝒕 and older bulletins can be found at 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒕𝒙𝒕-𝒂𝒓𝒄𝒉𝒊𝒗𝒆𝒔
Full IPFS index in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒊𝒑𝒇𝒔 and as plain text in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒊𝒑𝒇𝒔/𝒕𝒙𝒕
Gemini index for the day: gemini://gemini.techrights.org/2024/09/10/


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

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

⦿ Techrights  -  A Decade Ago Things Became So Bad at the European Patent Office (EPO) That Staff Jumped Out the Window During Working Hours

⦿ Techrights  -  Are Lawsuits Over EPO Corruption Next?

⦿ Techrights  -  COVID-19 Ushered in Attacks on Human Rights and Things They Said They Had Introduced Temporarily Are Still in Effect/Operation Today

⦿ Techrights  -  Crimes of the EPO Are Costing Everybody in Europe

⦿ Techrights  -  Difficult Times at Soylent News

⦿ Techrights  -  Europe's Second Largest Institution, the EPO, Exploits Lack of Oversight to Commit Crimes Every Day

⦿ Techrights  -  Free Software Foundation (FSF) Probably Has No Choice But to Shut Down Its Office

⦿ Techrights  -  IRC Proceedings: Monday, September 09, 2024

⦿ Techrights  -  Julian Assange's Father Turns 80 and They Show Themselves in Melbourne

⦿ Techrights  -  Nearly Two Years After Quitting My Job

⦿ Techrights  -  New Article in redhat.com: How to Install Microsoft Windows

⦿ Techrights  -  OSI's Blog is Still 100% Microsoft-Sponsored Attacks on Free/Open Source Software

⦿ Techrights  -  Over at Tux Machines...

⦿ Techrights  -  Quitting Academia When Its IT Systems Are Dominated by Clowns Who Outsource

⦿ Techrights  -  Red Hat is Suing to Protect From Patent Trolls

⦿ Techrights  -  Slow But Ongoing Mass Layoffs at EPO, Estimates That Nearly Half of the FOs Will be Made Redundant Soon

⦿ Techrights  -  [Teaser] EPO Tightening Its Belt

⦿ Techrights  -  Terms of Service (TOS) Under Scrutiny - Part XVIII - In Conclusion

⦿ Techrights  -  The Peril of the Electronic Frontier Foundation (EFF) Illuminates the Dangers of Founders Leaving or Being Forced Out

⦿ Techrights  -  Transcript of Latest Public Talk by Dr. Richard M. Stallman (RMS), Delivered Last Month at Web3 Summit 2024 Berlin

⦿ Techrights  -  Why the Free Software Foundation (FSF) Owning or Renting Office Space Mattered

 ䷼ Bulletin articles (as HTML) to comment on (requires login):
https://techrights.org/n/2024/09/10/A_Decade_Ago_Things_Became_So_Bad_at_the_European_Patent_Office.shtml
https://techrights.org/n/2024/09/10/Are_Lawsuits_Over_EPO_Corruption_Next.shtml
https://techrights.org/n/2024/09/10/COVID_19_Ushered_in_Attacks_on_Human_Rights_and_Things_They_Sai.shtml
https://techrights.org/n/2024/09/10/Crimes_of_the_EPO_Are_Costing_Everybody_in_Europe.shtml
https://techrights.org/n/2024/09/10/Difficult_Times_at_Soylent_News.shtml
https://techrights.org/n/2024/09/10/Europe_s_Second_Largest_Institution_the_EPO_Exploits_Lack_of_Ov.shtml
https://techrights.org/n/2024/09/10/Free_Software_Foundation_FSF_Probably_Has_No_Choice_But_to_Shut.shtml
https://techrights.org/n/2024/09/10/IRC_Proceedings_Monday_September_09_2024.shtml
https://techrights.org/n/2024/09/10/Julian_Assange_s_Father_Turns_80_and_They_Show_Themselves_in_Me.shtml
https://techrights.org/n/2024/09/10/Nearly_Two_Years_After_Quitting_My_Job.shtml
https://techrights.org/n/2024/09/10/New_Article_in_redhat_com_How_to_Install_Microsoft_Windows.shtml
https://techrights.org/n/2024/09/10/OSI_s_Blog_is_Still_100_Microsoft_Sponsored_Attacks_on_Free_Ope.shtml
https://techrights.org/n/2024/09/10/Over_at_Tux_Machines.shtml
https://techrights.org/n/2024/09/10/Quitting_Academia_When_Its_IT_Systems_Are_Dominated_by_Clowns_W.shtml
https://techrights.org/n/2024/09/10/Red_Hat_is_Suing_to_Protect_From_Patent_Trolls.shtml
https://techrights.org/n/2024/09/10/Slow_But_Ongoing_Mass_Layoffs_at_EPO_Estimates_That_Nearly_Half.shtml
https://techrights.org/n/2024/09/10/Teaser_EPO_Tightening_Its_Belt.shtml
https://techrights.org/n/2024/09/10/Terms_of_Service_TOS_Under_Scrutiny_Part_XVIII_In_Conclusion.shtml
https://techrights.org/n/2024/09/10/The_Peril_of_the_Electronic_Frontier_Foundation_EFF_Illuminates.shtml
https://techrights.org/n/2024/09/10/Transcript_of_Latest_Public_Talk_by_Dr_Richard_M_Stallman_RMS_D.shtml
https://techrights.org/n/2024/09/10/Why_the_Free_Software_Foundation_FSF_Owning_or_Renting_Office_S.shtml

 ䷞ Followed by Daily Links (assorted news picks curated and categorised):
https://techrights.org/n/2024/09/10/Gemini_Links_10_09_2024_DUIs_and_Useless_Analytics.shtml
https://techrights.org/n/2024/09/10/Links_10_09_2024_Big_Brother_Awards_Germany_2024_and_Telling_th.shtml

                    ䷩ 𝚕𝚒𝚗𝚎 108

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/09/10/A_Decade_Ago_Things_Became_So_Bad_at_the_European_Patent_Office.shtml
    Gemini version at https://techrights.org/n/2024/09/10/A_Decade_Ago_Things_Became_So_Bad_at_the_European_Patent_Office.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ A Decade Ago Things Became So Bad at the
European Patent Office (EPO) That Staff Jumped Out the Window During Working
Hours⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Sep 10, 2024


Colleagues saw the suicide; the EPO's response wasn't to tackle the causes but
to bolt down the windows (like factories in China installing controversial
'suicide nets')


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


We're back to covering patent issues on a more frequent basis.




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

                    ䷩ 𝚕𝚒𝚗𝚎 1109

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

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⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Are Lawsuits Over EPO Corruption
Next?⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Sep 10, 2024


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Woman_In_Lawsuit⦈_


Earlier this_week: Very_Large_EPO_Applicants_Now_Threaten_a_Boycott_of_the_EPO_
(the_EPO_Management_is_Trying_to_Bribe_Them_to_Change_Their_Plans/Minds_While
Hiding_It_From_Staff)


The EPO, unlike the U.S. Patent and Trademark Office (USPTO), is unjustifiably
immune and its executives also have diplomatic immunity, which they've long
exercised to_get_away_with_serious_crimes_in_places_like_Croatia. This means
they're exceptionally hard to sue (or it's very hard chase them) unless they
commit mass murder or something that bad (suicide clusters a la Benoît
Battistelli apparently don't count, except if you work for some French telecom
giant, which lacks immunity). António_Campinos came from the EU, just like
Michel_Barnier. Battistelli, Campinos and Barnier are all French and all have
played_a_considerable_role_in_pushing_illegal_and_unconstitutional_patent
courts. What level of damage have they done to the EU's reputation and are
grotesque acts like these causing people to vote for Brexit and demand similar
exits in other European countries? At no point should we assert that it's OK to
violate laws and constitutions in the name of "unity" - wherein "unity" just
means "easier for patent trolls to sue Europeans in unison".


This has been the most tragic development in the patent realm in Europe...
perhaps in decades. So now, in addition to having a patent office that commits
crimes every day its actions are assessed by a so-called "court" (UPC) that
exists against the law.


Will there be a lawsuit? Well, we filed two last Friday [1, 2], but they had
nothing to do with patents.


"We will soon need to do the same with UPC," one reader told us, as "this
monster should not be alive if politicians would care about the "Rule of Law"."


"I want to draft an open letter about Barnier, the fact that the EPO probably
bought the reform via the recruitment of Frohlinger in exchange of the EU not
participating is totally insane. The European Commission coming to the
conclusion that the EU cannot participate in the project as a conclusion of
Opinion 1/09 is a very creative reading, as there is nothing in there that
prevent it. It's now obvious that it is the EPO had an interest not having its
little Eponia kingdom not being under the realm of the CJEU."


The corruption here is so profound that, as far as patents in Europe are
concerned, the court (i.e. the legal system) is an illegality. It operates
outside the rule of laws and in violation of constitutions. Why does the
mainstream media not cover it? Well, duh, check who sponsors it and what for. █




⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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                    ䷩ 𝚕𝚒𝚗𝚎 1205

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/09/10/COVID_19_Ushered_in_Attacks_on_Human_Rights_and_Things_They_Sai.shtml
    Gemini version at https://techrights.org/n/2024/09/10/COVID_19_Ushered_in_Attacks_on_Human_Rights_and_Things_They_Sai.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ COVID-19 Ushered in Attacks on Human Rights
and Things They Said They Had Introduced Temporarily Are Still in Effect/
Operation Today⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Sep 10, 2024


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Ventura_beach_beginning_to_see_visitors_post_covid-19⦈_


Ventura beach beginning to see visitors post COVID-19


DEPENDING on whether you believe the "market/bat theory" or the "lab theory" or
whatever, COVID-19 turns 5 (half a decade) in a few weeks. To me, COVID-19 did
not cause much disruption because I worked from home (my job, my hobbies, my
activism). The main impact was, I stopped going to the gym and started working
out from home. But to a lot of people it had a profound impact/change - almost
always a very negative change.


The worst thing from my point of view is how human rights were suspended,
sometimes not temporarily. The reality of this varies across nations, but here
in the UK we still have a censorship unit originally commissioned to deal with
national health and is now dealing with racists and bigots instead (under a
similar premise and pretext).


COVID-19 changed a lot of things. COVID-19 is still a problem. COVID-19 still
infests and infects many people. It's killing people and here in the UK
mortality rose by over 10% (every week in 2024 we see deaths at more than 10%
the prior levels).


From a "rights" perspective, COVID-19 can have a corrosive effect for many
decades to come. More people ought to talk about it (against it). Once you lose
rights it is very difficult to regain them - that's history's lesson.


When analogue activities became digitalised we lost many rights. For instance,
if people pay "by card" (sometimes the sole option, at least in some places)
they lose the ability to pay anonymously or not have their purchasing data
sold. Now we see a pandemic (COVID-19) being exploited to worsen things some
more in the digital realm. People are forced to do more things "online" or with
an "app" (e.g. banking), having signed some horrible contract/TOS.


Where does all this lead to? See Helsinki_for_clues. █




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⠛⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠛⠛⠛
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⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣤⣤⠶⠶⠶⣶⣶⣶⣶⣶⣶⣦⣤⣶⣶⣶⣶⣞⣾⣟⣒⣳⣶⣒⣒⣶⣶⣶⣶⣶⣶⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣥⣤⣼⡏⢻⠉⠉⠉⢉⣿⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣾⣏⡉⠋⠋⠛⣻⣟⣿⣿⣿⡿⠿⠿⠛⠛⣿⣶⣶⡶⠶⡶⠶⠂⠀⠀⠀⠐⠂
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⡤⡄⠀⠈⠛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠿⣿⣿⣿⣶⣤⣤⣤⣤⣤⣄⣄⣀
⣿⣿⣇⠀⢠⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣞⡋⠉⠁⠉⣁⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣯⣤⣤⣤⣤⣀⣉⣉⣉⠉⠉⠉
⣧⣀⣀⠀⣀⣀⣀⣀⣀⣉⠉⠉⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⡿⢿⣿
⠉⠘⠛⠀⠈⠙⠘⢿⣿⣿⣿⣿⣷⣶⡬⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣿⣷⣾⣷⣶⣶⣿
⣀⣠⣄⣠⣀⣀⣠⣴⣿⣷⣾⣿⠛⠁⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠉⠻⣿⠀⠀⠘⠟⠛⠉⠁⢿⣇⣀⣠⣶⣄⣀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣷⣄⣀⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 1284

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/09/10/Crimes_of_the_EPO_Are_Costing_Everybody_in_Europe.shtml
    Gemini version at https://techrights.org/n/2024/09/10/Crimes_of_the_EPO_Are_Costing_Everybody_in_Europe.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Crimes of the EPO Are Costing Everybody in
Europe⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Sep 10, 2024,
updated Sep 10, 2024


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


THE EPO is continuing_its_decade-long_tradition_of_overt_corruption. It
actually started more than a decade ago when Benoît_Battistelli seized
(actually bought, as in bribed for) power, but it intensified around 2013 or
2014 when we started covering those things more closely. António_Campinos,
Battistelli's friend, has been more of the same.


Nowadays the EPO grants loads of illegal_European_software_patents under the
guise of "AI" (a deliberate loophole), which means that European software
companies can be sued in a kangaroo court anywhere in the EU (if they're based
in the EU) and have to pay huge court fees even if they don't infringe on any
patents at all, set aside the fact that software patents aren't meant to be
granted in Europe in the first place.


Since virtually everyone in Europe is a user of software (almost nobody is a
forest dweller like in countries near the equator), this impacts everybody. █




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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⢉⠀⠀⠁⠈⠁⠀⠀⠀⠀⠉⠀⠁⠀⠀⠀⠶⠶⢶⣶⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣷⣿⣿⣾⡈⠙⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡄⠀⠈⠉⠛⠉⢉⠉⠙⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⡉⠉⠀⠀⠠⠰⠚⠂⠀⠀⠀⠀⠀⠀⠀⠀⢶⣶⣄⣤⢐⣿⣿⣶⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⣤⣴⣿⡴⢀⣠⣄⠀⠀⠀⠀⠀⠀⣠⠐⠀⠀⠀⢀⣉⣙⣿⣿⣿⣿⣿⣿
⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠥⠀⠈⠉⣅⡀⠀⠀⠀⠀⠀⢀⣠⠤⠀⠲⠿⠿⠿⠿⠿⠿⠿⣿⣿
⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⠉⠀⠊⠀⣀⣀⣠⣾⢿⢻⡁⠀⠀⠀⠀⠈⠉⠘⠑⠂⠀⠉⠙⠃⠂⠀⠰⣷⣿⣿
⣿⡉⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡾⠿⠋⢁⢈⠀⠁⠀⠀⠀⠀⠁⠀⠀⠀⠀⠁⠀⢁⠀⠈⠿⣿⣶⣶⣶⣿⣿⣿
⣿⣿⣳⣧⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⣀⣠⣄⡔⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠠⠞⠁⠀⠀⠀⠚⠣⣶⣷⣾⣿⣿⣿⣿⣿⣿
⡯⢾⣛⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠀⠐⠳⠖⢀⡆⠀⠀⠀⠄⠀⠀⠀⠀⠀⠠⠂⠠⢾⣍⠉⠛⠛⠋⠛⠿⠿
⠲⠹⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠛⠉⢡⡾⠦⠤⠄⠀⠀⠀⠀⠀⠀⠠⢤⣀⡠⣄⠀⠀⡴⠀⠀⣈⣿⡧⠾⠷⠾⣶⣶⣶
⠀⢒⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣆⣶⣿⣿⣦⠤⠐⠂⠀⠀⠀⠀⠀⡴⠆⠀⠈⠂⢀⠀⠀⠀⠀⡀⠙⠃⢠⠀⢀⠀⠩⠼
⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⣿⠙⠋⠉⠙⡟⠀⠀⠀⠀⠀⠀⠚⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠋⠀⠀⠈⣿⣶⣶
⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠂⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠈⣿⡛⣿⣿
⢋⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡶⡀⣤⣠⣤⠀⠀⠀⣠⣶⠖⠛⢓⣄⣰⠆⠀⢳⡀⠀⠀⢀⢀⠀⠀⠀⠈⠛⠓⠀⠀⠀⠈⠙⠾⣿
⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢉⣿⣿⣡⣾⠿⠇⠀⠀⠀⣀⠜⣱⡶⠿⡅⠀⠀⠀⠀⣦⢀⠀⠀⠀⠀⣀⡂⣀⠀⡀⠀⠉
⢛⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠟⠉⠋⠈⠃⠀⠀⠀⠀⠈⠁⢲⡿⠀⠀⠁⠀⠀⠀⠈⢻⠿⣥⠀⠉⠉⠉⠉⠙⠛⡿⠄⠀
⣾⣿⣿⡀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⡤⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⣿⡄⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣦⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠉⠀⠰⠀⠀⠀⠀⣀⠀⠀⠀⠂⢠⣤⠔⢻⠀⠀⠀⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⣰⣦⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣅⣦⣀⣀⠄⠀⠤⠀⠀⠉⣠⣾⡿⠋⠀⠀⠀⡾⠋⠀⣼⠀⠀⠀⣸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠓⠿⣿⣿
⣿⣿⣿⣿⣿⠈⢻⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠋⣀⠀⠀⢀⣰⣾⡿⠀⠁⠀⠀⠀⠀⠁⠀⠘⠀⠀⠀⠀⠘⠉⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠉
⣿⣿⣿⣿⣷⠶⢄⠈⠧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⣿⣿⣿⣿⣿⣿⣷⣾⣿⣾⣿⣿⡾⠋⢀⡬⠄⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠠⡁⢠⣄⠄⠀⠄⠀⠀⠀
⡋⠙⠛⣿⣇⣿⠛⠀⣀⣂⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠆⢠⣿⣿⣿⣿⣿⣿⣿⡿⣟⣿⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠄⢀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡙⠳⠀⠀⢀⠀
⣄⣈⡀⣈⢻⣅⠰⣷⠏⠻⡧⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠀⢖⡰⠮⢿⣿⣿⣿⣿⣷⣦⣠⠀⠀⠀⠁⣠⠂⠀⠀⠀⠀⠀⠀⠀⡜⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⢿⣿⣧⠀⠀⠉
⠮⠏⠁⠚⢿⣿⡞⣃⡘⠷⠛⣾⣿⢻⣻⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⠺⣿⡷⡤⠠⠀⠐⣶⣿⣿⣿⣿⣿⣿⡿⠏⠀⠠⠄⠁⠀⠀⡀⢠⡀⠠⢀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⣿⣿⡧⣄⠀⠀
⠀⠀⠀⠀⢨⢻⣷⡀⡁⠀⠀⠙⠁⢀⢈⣿⣿⣿⣿⡋⣙⠻⠻⢻⡯⠰⢴⠏⠀⣁⠂⠀⠀⢺⣿⣿⣿⣿⣿⣿⣿⣷⣧⣀⣤⠄⠶⠂⠁⠀⠀⣰⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠐⣻⣄⠀⠀⠁⠀⡄⠀⠀⣿⣠⣿⡿⠧⠀
⣯⠉⠄⠀⣧⡞⠉⠀⠁⢢⡰⢶⡤⣉⠀⠉⠉⠙⠉⠈⡿⢧⡐⣌⢡⠀⠌⠲⠁⠄⢀⡀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠠⠔⠚⠀⣻⡿⠫⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠩⣀⠀⠀⠰⠀⠀⠘⡿⠁⢉⣷⠀⢠
⣽⣖⣁⡀⠁⠀⠀⠀⠀⠸⡿⣇⢙⡻⣷⡄⠀⠤⢀⣻⣷⣷⡝⠈⠆⠀⠀⠰⠀⠀⠀⠀⢠⢙⣿⣿⣿⣿⣿⣿⡿⠟⠛⠁⠸⠂⠀⠀⠀⢰⣟⠲⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⠀⠀⠀⠀⠀⠀⣀⠰⡿⠛⠃⢸
⡈⠙⠪⠷⠂⠀⠀⠀⠀⠨⣟⣻⡿⡟⠭⡟⠲⢶⣿⣇⡄⣽⣧⡖⠀⠀⣚⡤⠀⠔⠀⠀⠘⢣⣾⣿⣿⡟⠋⠁⠀⠀⠀⠄⠀⠀⢀⡀⣀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠗⠠⠀⠀⠀⠀⠀⠀⠀⠿⠛⣷⣻⣉⡀⠹⢶⣎⠙⢛⣃⠁⣮⣅⠈⠀⠷⠴⠤⠀⠀⠒⢁⣀⣿⣿⣥⡦⠄⠈⠀⠀⠀⠠⠔⠋⠈⣽⠏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀
⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣙⣛⣿⠿⠿⣼⣿⣧⣉⣳⡰⠟⣾⠆⠀⠀⠢⠄⠀⢀⣠⣿⡿⠁⠁⠀⠀⢰⠀⡆⢰⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠄⢲⡀⠈⠀⠀⠀⠀⠀⠀
⠁⠀⠀⡤⠀⠀⠀⠀⠀⠠⢿⣿⣿⣿⣷⢤⣤⣬⠉⠙⠛⠷⢶⡀⠀⠀⠀⠀⠀⠀⠘⠀⢠⡤⢠⣤⣠⣠⣾⠶⠉⠁⠀⠚⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⣠⡚⠀⠀⠀⠀⠀⠀⠀⠀⡴⢿⡀⣾⡿⠀⠘⠄⠀⠀⠀⠀
⣤⣄⡈⠀⠀⠀⠀⠁⠀⠀⣰⣿⣿⣿⠿⢿⢿⣿⣿⣷⣚⡁⠀⡠⠀⠀⠀⠀⠀⠀⠘⠁⠚⣐⢺⣿⠿⢟⠁⠢⠀⠀⠀⠀⢀⣶⡏⠀⠁⡀⠀⠀⠀⣠⢶⣼⣏⠁⠀⠀⠀⠀⠀⠀⠀⠀⣇⣈⡿⡿⢟⠴⠀⠀⢡⡀⠀⣀
⠈⡭⢿⣀⠀⠀⠀⠀⠀⠀⣩⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣠⣯⡑⠣⡄⠀⠀⠀⠄⢠⡄⡀⠈⡈⠁⠈⠠⣾⣷⣤⣶⣶⣶⣾⣿⣠⣆⠀⠋⢀⣿⡞⢁⣀⣟⡁⠀⠀⠀⠀⠀⠀⠀⠀⠐⠿⠃⠘⠛⠁⠚⠀⠀⠀⠻⠷⣶
⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠙⢳⣿⣷⣿⣿⣿⣯⣿⣿⣿⢬⡇⠾⠷⠗⠀⠀⠀⠲⠀⠉⣫⠸⢶⣿⡿⣟⣿⣶⣿⣿⣟⣉⣿⣿⣿⠿⠓⠃⣾⡿⢧⡞⠻⣦⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣧⡔⢢⠇⠀⠀⡀⠀⠛
⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣟⣿⣿⣿⣿⣿⣀⠚⢉⣀⣆⢠⠀⠀⠀⠀⠀⢉⣠⠀⣀⡙⣿⢿⣿⣿⣿⣿⣿⣿⡟⠋⠀⠘⠀⣸⡟⣇⠰⠀⠀⣬⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣁⣈⠉⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠤⠄⠀⠀⠀⠀⠀⠰⢯⣷⣿⣿⣯⣭⣬⠴⣄⠁⠤⢶⠄⠀⣤⠀⠐⠦⠀⠁⠉⠉⠉⠜⢻⣿⣾⣿⣿⣿⣿⠋⠉⠁⠀⠀⠂⠀⠿⡄⠀⠀⠀⠀⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠘⠿⠀⠐⠀⠀⣶⢿⣶⠀
⠐⠒⠚⠐⣤⠄⠐⠂⠀⠀⣀⠆⢹⠭⣉⢿⣿⣶⣶⣆⡵⠊⠀⠀⠀⠀⠀⠀⠁⠀⠀⣀⠀⠀⢀⠂⣈⣿⣷⣾⠿⠁⠀⠀⠀⠀⠁⠑⠀⠀⠀⠄⠀⠀⠸⠃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠷⣄⠀⠀⠀⠀⠙⠀⠀⢳⡌⠀⠈
⠀⠀⠀⠀⠁⢶⠀⠀⠀⠀⠈⠀⠈⡬⠤⣤⣤⠶⠒⠀⢶⡐⠛⠁⠀⠀⠀⡀⠀⠀⠀⠉⠢⠀⠲⡄⣽⢻⣿⠛⠀⢀⡀⠀⣀⣀⣴⠟⣀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⡋⠈⠁⠠⠀⠀⠀⠀⠙⠓⠀⠠
⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⣿⣿⣿⣿⠒⠀⠀⠊⠁⡉⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⢷⣦⣸⣳⣾⠛⠉⠀⠘⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠤⠀⠀⢀⣀⣰⡀⠀⣠⠄⠀⣴
⠀⠀⠘⣳⠀⠁⠀⠀⠀⢐⡀⠠⢦⣷⣉⠠⠿⠆⠤⢒⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠿⣦⣤⣻⡙⣿⣿⣷⣦⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⢀⠐⣾⣿⠟⠏⠀⠀⠁⠐⣧⣿
⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣏⠄⠆⠀⠀⣰⣾⣗⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⢀⠈⠫⣻⣴⣾⣿⣿⣽⠀⢠⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⠡⠄⠠⣀⠀⣄⢀⣽⣾
⠀⠀⠀⠀⠀⠀⠀⠑⠒⠀⠂⢈⡙⠆⠒⠤⠀⠤⠆⢀⠼⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⣀⢈⢉⣿⣿⣿⣿⣿⣿⠀⣸⡿⠋⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠐⠃⠀⠀⠀⠀⠀⠀⠐⠐⡂⣅⢻⠀⢻⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠒⠁⠀⠀⠀⠀⠀⠀⠴⠦⠀⠈⠀⣀⣀⣤⣀⣀⣀⣤⣤⣤⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⢋⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⣼⠀⠿⡿⠻⠿
⣶⣶⣶⣶⣶⢶⡾⣿⢶⣶⣶⣶⣿⣶⣶⣶⣶⣶⣿⣿⣿⣿⣏⣶⣿⠻⠿⣿⣿⡿⢀⠿⣿⣿⣟⣛⣿⣿⣿⠿⢿⣿⣿⣿⡿⣾⠀⢨⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠠⡾⠿⢿⡇⠿⠷⠶⠶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣭⣉⣉⣙⣛⣛⡻⠿⠿⣿⣷⣶⣶⣤⣀⣀⡀⠹⠿⠿⣿⣟⣣⣴⣀⣻⣿⣿⡆⠸⠀⠘⢇⡀⠀⠀⠀⠠⢶⠀⢸⡿⠀⠀⠀⠠⠀⠄⠀⢀⣀⠀⠀⠀⠉⠀⠀⠀⠀⣤⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣿⣭⣽⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢀⣿⣿⣶⣶⣶⣶⣷⡆⠀⠈⣿⣶⣶⣶⣾⣿⣯⣭⣷⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣻⣿⣿⣿⣦⣤⣴⣴⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 1383

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/09/10/Difficult_Times_at_Soylent_News.shtml
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⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Difficult Times at Soylent
News⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Sep 10, 2024,
updated Sep 10, 2024


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Soylentnews.org⦈_


What seems like a 90s throwback may have survival issues


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


TODAY, for the first time in weeks, non-authenticated users could access the
#soylent IRC channel again (in the Soylent News network). This wasn't the first
time such a restriction was placed and it seemed rather pointless as anyone
could just create an account for trolling/abuse purposes.


So I got back to the main channel and not many people were left there. I had
been trying without success for a while.


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


So it basically looks like Soylent News isn't doing too well and some
superficial Web survey (spyware) says_that_soylentnews.org_is_losing_readers.
While the above site (spyware) is "blocked by gratuitous javascript," as a
friend says, it suggests that readership is down sharply and "if I had to
guess," the friend says, "there are fewer accounts active at SN" (Soylent
News).


There's an explanation for this: "there were a couple noticeable drops related
to outages where not only was the site down for a while but a few days worth of
comments were lost. That was really demoralizing and it looks like more people
gave up each time. There is a sale coming up soon and that is not entirely
clear what that is about or to whom. That also led quite a few accounts to go
dormant."


"Discussion forums are not in vogue any more. There is so little news that the
aggregation function is only of marginal value any more. And many people,
especially, younger eschew independence and self-sufficiency and seek out
tightly controlled skinner box environments like bytdance's tiktok, ksa's
twitter (now 'x'), and zuckerberg's facebook and his other properties.
Apparently kids get their illegal drugs and such via instagram but the police
efforts seem to be against other services."


The bottom line is, Soylent News seems to have shed off many active users (or
readers) and in IRC many folks are gone after efforts to stave off trolls.


We hope that Soylent News will recover from this. █




⠂⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠐⠀⠀⠀⠂⠀⠐⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠐⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⢲
⣰⣶⣶⣶⣶⣶⣶⣶⣶⣆⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣸
⣿⠀⠀⠈⠉⠉⠉⠉⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠀⠀⠀⠈⡁⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠒⠒⠒⠒⠒⠒⡒⡒⠚⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡏⠠⠀⠀⠤⠀⠀⠀⠈⣍⣉⣉⢉⡉⢉⣉⣉⣉⢉⣉⣉⣉⣉⣉⡉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⠉⠉⠉⠉⠉⠉⠉⠉⢉⢙⣿⣿⣿⣿⣿⡏⠀⠤⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿
⣿⢉⣉⣹⣿⣿⣿⣿⣿⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢻⣯⣍⣍⣉⣉⣉⣍⣉⣹⣉⣍⣩⣉⣍⣉⣉⣽⣿⣿
⣿⠖⠒⠛⢻⣿⣿⣿⣿⣤⠤⠤⠤⠤⠄⠠⠤⠤⠤⠤⠤⠤⠠⠤⠤⠤⠄⠤⠤⠤⠄⢠⠀⠠⠀⠀⢠⠀⢠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⡗⢒⡖⠲⠒⡓⠒⡒⢲⠒⠒⡒⠒⠒⠒⠒⢺⣿⣿
⣿⠭⠭⢍⣩⣿⣿⣿⣿⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣁⣰⣶⣶⣶⣾⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠭⠭⢭⠭⠭⠭⠬⠭⠯⠭⠭⠽⠭⠭⢽⣿⣿⣿
⣿⣒⣒⣒⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠛⠻⠛⠛⠻⠛⠛⠛⠟⠛⢻⠛⠛⠛⠛⠛⠛⠛⠻⠟⠛⠛⠛⡟⠛⠛⠛⠟⠛⠛⠛⠻⠛⠛⠛⠻⠛⠛⠻⣿⠿⢻⣿⣿⣿⣗⣒⣒⣚⣒⣒⣚⣛⣚⣓⣒⣂⣚⣓⣒⣾⣿⣿⣿
⣿⠠⠤⠥⠤⣼⣿⣿⣿⣿⣏⣉⣙⣏⣉⣉⣹⣉⣉⣉⣉⣁⣉⣏⣹⣉⣹⣉⣉⣹⣉⣉⣹⣉⣍⣉⣉⣉⣏⣉⣉⣉⣉⣉⣉⣹⣉⣩⣉⣋⣉⣉⣿⣿⡀⠀⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿
⣿⣁⣀⣀⣀⣉⣻⣿⣿⣿⡇⠤⠴⠦⠤⠴⠶⠠⠤⡼⠦⠤⠦⠖⠤⠦⠴⠤⠤⠤⠷⠤⠴⠦⠤⠆⠤⡦⠶⠤⠦⠷⠠⣖⠠⠤⠦⠴⠄⠤⠶⠆⠤⢼⣿⣿⣿⣿⣧⣤⡤⣤⣤⡤⣤⢤⣤⣤⣤⢤⣤⣤⣤⣤⣤⣤⣤⣿
⣿⣟⡙⢛⣿⣿⣿⣿⣿⣿⣟⣛⣛⣛⣛⣟⣋⣏⣙⣋⣙⣙⣛⣟⣓⣙⣛⣉⣛⣛⣋⣓⣉⣋⣙⣛⣋⣛⣛⣋⣋⣏⣑⣙⣉⣉⣋⣙⣙⣛⣉⡋⣟⣛⣉⣋⣽⣿⣿⣿⣶⣖⢒⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿
⣿⣯⣉⣿⣿⣿⣿⣿⣿⣿⡧⠤⠤⠤⠧⠤⠤⠤⠤⠤⠼⢤⠤⠬⠤⠤⠤⢭⠤⠤⠥⠤⠧⠤⠤⠤⡧⠤⠤⠤⠧⢤⠤⠤⠤⢼⠥⠤⡧⠤⠤⠤⠤⠼⢤⠿⣿⣿⣿⣿⣿⣭⣉⣹⣯⣉⣉⣉⣍⣉⣉⣿⣿⣿⣿⣿⣿⣿
⣿⣗⠒⠒⠛⠛⣿⣿⣿⣿⣗⣒⣒⣒⣒⡒⣒⣒⣒⢚⣒⣚⣒⣒⣒⣓⣒⣾⣶⣶⣷⣶⣶⣿⣶⣶⣷⣶⣶⣶⣷⣾⣶⣶⣶⣾⣶⣶⣿⣶⣾⣶⣿⣶⣾⣶⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣯⠭⠭⢭⣭⣿⣿⣿⣿⡿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣟⣐⣒⣚⣛⣿⣿⣿⣿⣃⣀⣀⣀⣀⣀⣁⣀⣀⣀⣀⣀⣀⣀⣈⣀⣠⣤⣤⣤⣈⣀⣀⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣻⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿
⣿⡧⠤⠼⢿⣿⣿⣿⣿⣍⣏⠉⠉⠉⠉⠉⠉⠉⠉⠉⣋⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣙⣉⣉⣙⣉⣋⣉⣉⣉⣉⣉⣉⣛⣉⣹⣿⣿⣿
⣿⣯⣉⣉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣦⣶⣶⣶⣿⣿⣿⣿⣿⣿
⣿⣗⠒⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡯⠬⠭⠽⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿
⣿⣿⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣛⡟⣿⣛⣿⣿⣿⢻
⣿⣿⣿⣿⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠿⡻⢛⠠⠀⠤⡤⡄⠤⣠⠤⠤⠀⠀⣄⡀⢤⢰⢀⠄⡄⠤⣀⢤⠀⡀⡤⣜⣝⣿⣿⡟⣿⢿⣻⣿⣿⣿⢻⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢧⣮⢤⠫⣃⣀⣀⣃⣃⣒⣉⣀⣀⣀⣘⣈⣁⣒⣘⣀⣁⣃⣀⣱⣲⣀⣁⣃⣻⣿⣽⣿⣧⣿⣿⣕⢶⣿⣿⣶⣯⣽⣶⣿⣿⣽⣿⣿⣿⣿
⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣀⠀⠀⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠀⠀⣀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠿⠛⠉⠙⠛⠿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠉⣶⣶⣶⢶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡶⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣶⣀⠀⠀⠀⣛⣿⣿⣶⠀⣀⣶⣀⠀⣶⠀⣶⠀⣶⠀⠀⣶⣶⣶⠀⣶⣀⠀⣶⠀⣶⣶⣶⠀⠀⠀⠀⠀⣀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣄⠀⠀⠀⠿⣿⣿⠉⠀⠀⠀⣿⣿⣶⣀⠀⣿⠀⣿⠀⣿⣀⣿⠀⣿⠀⠀⣿⣶⣶⠀⣿⠛⣶⣿⠀⠀⣿⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⠀⠀⠀⢸⣿⣶⣀⠀⠀⠀⣿⣿⣀⣿⠀⣿⣀⣿⠀⠀⣿⠀⠀⣿⣀⠀⣿⣀⣀⠀⣿⠀⠀⣿⠀⠀⣿⠀⠀⠀⠀⠀⠀⣀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣀⢘⠉⣀⠀⠀⠀⠸⣿⣿⠛⠀⠀⠀⣿⠛⠛⠀⠀⠀⠛⠀⠀⠀⠛⠀⠀⠛⠛⠀⠛⠛⠛⠀⠛⠀⠀⠛⠀⠀⠛⠀⠀⠀⠀⠀⠀⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣾⣧⣾⣴⠇⠀⢀⣶⣿⣿⣶⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠿⣶⣶⠼⠀⣀⣿⣿⣿⣿⣿⠛⠀⠀⣀⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣀⠀⠀⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡇⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⣦⣤⡄⠀⠈⠙⠿⣿⣿⣿⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣇⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡧⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡇⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⠿⠿⣿⣿⣇⣃⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠈⠿⢿⣿⣿⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⢿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣄⢈⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⠿⠻⣿⣿⣿⣿⣿
⠀⡀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠾⢻⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⣿⣿⣿⣿⣿
⠀⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣤⣤⣤⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⡀⣿⣿⣿⣿⣿
⠀⠃⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⠿⣿⣿⠉⠉⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⡃⠀⠀⠈⢟⣛⣻⣿⡿⠿⠿⠿⠿⢿⣿⠿⡛⠻⠿⡇⣿⣿⣿⣿⣿
⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣀⠀⠀⠀⠀⠉⠉⠓⠶⠦⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⡄⠀⠀⠀⠈⠉⠉⠉⠉⠉⠛⠛⠛⠛⢻⣿⠀⠓⢼⡇⣿⣿⣿⣿⣿
⠀⠀⠀⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠫⠿⢿⣯⣟⡿⢿⣷⣦⣤⣀⠀⠀⠀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠐⠄⠀⠀⢸⡛⠛⠀⠀⠀⠀⠀⠀⢸⡯⡇⠀⢰⢸⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠈⠛⠛⠻⠿⠿⣿⣿⣿⠟⠋⠀⠀⡀⠙⠛⢻⢿⠶⢯⣝⡛⠿⣿⣶⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠈⠛⣷⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⢘⢸⣿⣿⡛⠟⠟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⡿⡄⢀⢿⠈⡫⣷⡅⠀⢸⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡥⠀⠀⠀⠀⠀⣿⣾⣿⠀⠀⢠⠀⠀⠀⣹⡇⠁⠀⢸⢸⣿⣿⣷⣶⣶
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠒⠤⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⠤⠤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⠿⡿⢿⡿⣿⠿⣿⣿⣿⣿⣿⠿⠿⣿⡿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⢿⣿⣿⢿⣿⣿⡿⠶⠾⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⢿⣿⣿⣿⠿⣾⡿⠿⠾⠿⠿⣿⢿⢿⣿⣿⣿⣿⣾⣿⣿⡿⢿⣿⣿⢿⣿⣿⡿⠿⠿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 1529

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/09/10/Europe_s_Second_Largest_Institution_the_EPO_Exploits_Lack_of_Ov.shtml
    Gemini version at https://techrights.org/n/2024/09/10/Europe_s_Second_Largest_Institution_the_EPO_Exploits_Lack_of_Ov.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Europe's Second Largest Institution, the
EPO, Exploits Lack of Oversight to Commit Crimes Every
Day⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Sep 10, 2024


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


Immunity begets impunity, which in turn begets crime


THIS week we're properly resuming EPO coverage. The corrupt politicians Benoît
Battistelli and António_Campinos are committing crimes with impunity while
Campinos boasts he has a law degree (as if it's a licence to break the law).
They've granted loads of European_software_patents - i.e. patents which are
both illegal and undesirable - and Battistelli still works in the shadows with
Campinos, who is covering up his crimes. How long can the crimes be hidden for?
Some have been exposed for everyone to see for over a decade already. Will
there be accountability before Battistelli passes away?


Just to be extra clear, a reader has advised us, we need to remind readers how
illegal_patents_are_being_granted. Or maybe, to quote him, the EPO "'illegally
grants invalid European software patents' [as it] is even more clear. It has to
be crystal clear every time software patents are mentioned in a European
context that they are illegal and, optionally, that they always have been."


"There must be no wiggle room for people to be able to assume that some how
software patents are allowed in Europe because that is exactly what the EPO is
trying to get people to think by illegally granting the invalid patents in high
volume."


They used to say 4IR, blockchain and other buzzwords to justify allowing these
sorts of patents; now they use "hey hi" (AI). That's still illegal. They are
granting monopolies on maths and even illegally_telling_examiners_to_ignore_the
legal_processes. This stunning_new_revelations should not result in sackings or
fines; EPO officials need to be arrested/detained. This is white-collar crime.
This is corporate crime.


What does the EU say about itself by tolerating this and even participating? █




⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢸⡗⣒⡛⠆⠀⠀⠤⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⣿⣿⣿⣿⣿⣷⣧⡹⣿⣷⣿⠀⠀⠀⠀⠀⠀⠀⠛⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠐⠂⣶⡗⢸⡧⠼⠧⣄⣠⣁⡀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠃⠙⠋⠉⠉⢉⡍⣯⣵⣼⢿⠯⠀⠀⠀⠀⠀⠀⠀⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⢠⡞⠀⠀⠀⠀⠀⠀⢀⣀⠠⣭⣙⣩⣿⣿⢸⣟⣾⣿⣿⣿⣿⣿⣿⣾⣧⣿⣇⢀⣀⣀⣀⡀⠀⠀⠀⢀⣇⣀⣤⣤⣤⣤⣼⣧⣿⣿⣿⣟⢇⠀⠀⠀⠀⠀⠀⠀⠐⠆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⣰⡾⠁⠀⠀⡀⠀⠀⠀⠀⢻⣶⣶⣷⣾⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣷⣷⣶⣆⣼⡟⢿⣉⣭⣭⣭⣿⣯⣭⣽⣿⣯⣦⠀⠀⠀⠀⠀⠀⠀⣠⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⢀⢀⢰⣿⡁⠀⠀⠀⠱⣄⣄⠤⡀⣤⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠹⣏⣩⣭⣿⣯⣭⣽⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⠻⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢀⣠⢄⣿⠷⣩⣤⡌⢟⣾⣿⣷⣾⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠘⠟⣩⣼⣯⣭⣿⣯⣭⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠠⣄⡀⡄⢾⣷⣼⠽⣾⣿⣿⣿⣗⡶⣷⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡄⠻⣿⣭⣿⣿⠯⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠐⣒⣛⠃⢸⣿⡭⣼⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⠀⣿⠃⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠓⠳⠖⢸⣿⣹⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠸⣿⣿⣷⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠾⢸⣿⣛⣛⣻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣄⣻⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣧⢻⣿⣿⣿⣿⣿⣿⡟⠿⡿⣿⣏⣻⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⡿⢭⣯⣷⣶⣶⣶⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⠀⠾⢿⡿⠀⣿⢿⠟⢿⣿⢿⣿⣏⠁⠀⠉⢻⣿⣿⢿⣿⡇⢉⣥⣴⣦⣷⣿⣟⠯⣿⣿⣿⣿⣭⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠈⠁⠀⠁⠀⠀⠈⠁⠀⣿⡀⠤⠤⢰⣒⣒⣊⣀⠀⠀⠀⠐⠙⠛⠛⠂⠀⢀⣀⣭⠽⠋⣛⣛⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣤⣬⣅⣀⣀⡀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠓⠒⠢⠾⠵⢰⢒⣳⡄⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⢀⠰⣾⣯⡿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⠿⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣠⣤⣤⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⣠⣼⣾⣷⡄⠀⠀⠀⠀⠀⠀⣀⢤⡄⠸⢿⣿⣿⣧⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⠃⠀⠀⠮⠿⠿⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⣚⢚⣉⣩⣭⣿⣿⣿⣿⡗⠀⡄⠀⠀⠀⠈⢻⠷⠃⠸⠆⢻⣿⣿⢸⡿⠿⠟⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠀⢠⣶⣄⠂⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠺⣿⣿⣿⣿⣿⣿⣿⣿⢃⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠂⠈⡩⣵⣦⣿⣰⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⢠⣿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣠⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⡏⣼⠀⢼⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠄⡉⠻⢿⣶⣌⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⣾⣣⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠟⢠⣿⣿⣿⣷⣦⡀⠀⠂⠀⠀⠀⠀⠀⠈⢁⣀⣉⡉⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣼⣿⣿⣿⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣴⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢠⣿⣿⣿⣿⣿⣿⡇⢀⣤⢄⣄⢰⣶⣾⣿⣾⣭⣿⣿⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⣁⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣼⣿⣿⣿⣿⣿⣿⡇⠸⣷⣿⣿⡜⣿⣿⣿⣿⣿⣿⡍⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠛⣙⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣻⣟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⠀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⣠⣿⡿⠁⠀⠀⠀⠾⠓⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⣸⡯⠋⠀⠀⠀⠄⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣷⠿⢿⠟⣻⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢿⣿⣿⣿⣿⣿⣿⣿⣿⠂⢠⣤⣰⣿⣿⠃⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠄⠘⣟⡛⢿⣽⣵⣿⣿⠻⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⢾⣿⡿⣿⣿⣿⣿⣿⢿⣿⣮⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣧⣸⣿⣿⣿⣿⣍⠀⠀⢀⠢⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠁⠀⠈⠩⠅⢒⡿⠶⢿⣿⣏⠽⢿⣷⣿⣿⣯⣿⣿⣟⢿⣿⣿⣿⣿⡿⣻⣿⣯⣿⣿⣯⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⢿⣿⣿⣿⣿⡻⣷⣟⡄⠀⡚⠣⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 1613

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/09/10/Free_Software_Foundation_FSF_Probably_Has_No_Choice_But_to_Shut.shtml
    Gemini version at https://techrights.org/n/2024/09/10/Free_Software_Foundation_FSF_Probably_Has_No_Choice_But_to_Shut.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Free Software Foundation (FSF) Probably Has
No Choice But to Shut Down Its Office⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Sep 10, 2024,
updated Sep 10, 2024


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


John Gilmore (EFF co-founder) recently joined_the_Board_of_the_FSF along with 2
others (one_left) and the_office_of_the_FSF_in_Boston_shut_down. The FSF's
office closing party has this_image_from_the_FSF. Someone who planned to go to
that party said she'd take photos and send us some.


GNU is turning 41 this month and its_founder_gave_a_public_talk_a_few_weeks
ago. The efforts to destroy him didn't quite succeed, but revenue of the Free
Software_Foundation_Inc decreased to a million bucks last year ("Net Income -
$686,366").


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


Looking at the_latest_filing, which is very recent, it has enough money left
for several more years, but expenses must be kept under control:


              🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇fiscal_year_ending_Sept._2023⦈_


How much will the office closure save? The answer is in page 10:


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


Many people can work from home anyway, especially in technical disciplines. █




⣷⣽⣻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⣿⣿⣿⣿⣿⣿⣿⢋⣽⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣷⣯⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣌⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠄⠀⢀⣀⣀⢀⣰⣶⣷⠀⠢⠿⢿⣿⣿⣿⣿⣿⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠙⢻⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠛⠛⠋⠉⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿
⠈⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⡃⠘⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣤⣤⣄⠀⠤⢤⣤⣤⣶⣶⣶⣶⣶⡿⠿⢽⣿⣿⣿⣿⣿⣿⣿
⣶⣦⣌⣉⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⡀⠤⠄⣼⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠯⠓⠀⠀⠈⠉⠉⠉⢉⣭⣥⣴⣶⠶⠀⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣷⣦⣄⠉⠉⠙⠛⠛⣻⣿⣿⣗⣋⣉⣉⣉⣛⣛⣉⣙⣿⣿⣿⣿⣿⣿⣿⡋⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠋⠁⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠴⠶⠿⠾⠿⠟⠃⠀⠺⠟⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡆⠀⠈⠀⠒⣦⠀⠀⠉⠙⠛⠿⠿⣿⣿⣿⡿⢿⣿⡿⢿⣿⣾⠿⠿⠿⠛⢻⣿⣿⣿⣿⣿⣿⣿⠶⠶⠶⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⣿⣿⣶⣦⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡿⠿⠀⠈⠿⠉⣿⣶⣶⣤⣤⠀⡀⡀⠀⠀⣀⡀⠀⠀⣠⣤⣤⣶⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿
⠿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣇⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡒⠚⠛⠛⠘⢹⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡇⠃⣠⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿
⠂⢸⣿⣿⣿⣿⣿⣧⣶⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⣰⠀⢸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿
⣀⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡆⢀⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣧⣾⣿⡇⣾⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠠⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⠇⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢼⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠀⠀⣤⣶⣶⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣧⣤⣿⣶⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⡧⠀⢀⣀⣀⡀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡏⠀⠀⢽⣿⣿⣿⣿⣿⣿⡿⡇⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⠽⠉⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠐⠶⢿⣿⣿⣿⣿⣿⣿⡗⠒⠚⠛⠛⠉⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠛⠚⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠒⠚⠚⠓⠒⠒⠚⠛⠃⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠭⡭⠭⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⡯⢭⠭⠭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠶⠶⠶⠶⠶⠶⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠇⠸⠧⠷⠶⠶⠷⠶⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⡇⢸⣿⡿⢿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣟⣛⣛⣛⣛⣛⣛⣛⣛⡃⠛⣛⣛⣛⣛⣻⡇⢸⣿⣭⣽⣿⣿⠿⠿⠿⠿⠿⠛⠉⠀⠉⠉⢸⣿⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣏⣍⡟⠋⠉⠉⠉⠉⠁⠀⠀⠉⠉⠉⠛⣿⡇⢸⣟⣓⣺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣤⣅⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⣀⣹⡇⢸⣿⣧⣼⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⣈⣿⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⡀⢈⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠉⡹⠉⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⡯⢍⠟⢉⣉⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠶⠶⠶⠾⠶⠦⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠇⠸⠧⠿⠶⠾⠴⠶⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⡇⢸⡿⠿⢻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡏⣭⣿⣿⣿⣿⣿⣿⣿⡟⠉⠛⠟⠿⣿⣿⡇⢸⣟⣛⣻⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⢘⣛⣛⣿⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡗⠒⡖⠒⠒⠒⠒⠒⠂⠀⠀⠀⠀⠀⠀⣾⡇⢸⣏⣉⣹⣿⣿⣿⣿⠿⠿⠿⠿⠿⠀⠸⡿⢹⣿⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣤⣅⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⣀⣹⡇⢸⣿⣧⣼⣉⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⣈⣿⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠻⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⡟⢻⠛⠛⡟⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣉⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣟⣛⣛⣛⣛⣛⣛⣛⣛⣛⠛⣉⣀⣀⣒⣀⣈⣉⠛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣿⠀⢸⢄⣒⣒⣒⣓⣲⣲⣟⣛⣋⣙⣋⣋⣻⣿⣿⣿⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡗⢶⠶⠾⠿⢿⣿⣿⣿⡇⣾⣿⡷⠶⠶⠶⠿⣿⡇⢹⣿⣿⣿⣿⠶⠶⠶⠾⠿⣿⣿⣿⣿⣿⣿⣿⠀⢸⠀⠀⠀⠀⢱⡤⠤⠤⠭⢭⢩⠭⢭⣿⣿⣿⣿⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣟⣛⢛⣛⣛⣛⣛⣛⣛⣃⡘⠛⢛⣛⣛⣛⠛⠛⣁⣛⣛⣛⣛⣛⣛⣛⢛⣛⣛⣛⣛⣛⣛⣛⣛⣿⠀⠘⠀⠀⠀⠀⠘⠉⠉⠉⠉⠉⠈⠉⠉⠛⠛⠛⠛⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡗⠒⠒⠒⠒⠒⠚⠒⠒⠚⠛⠓⠒⠂⠀⠐⠒⠛⠛⠛⠛⠛⠛⠒⠒⠒⠓⠒⠒⠒⠒⠛⠛⠛⠛⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣗⣒⣒⣒⣒⣒⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠉⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠰⠀⠀⠄⠀⠀⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠆⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡧⠤⠤⠤⠤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡤⢤⠤⣤⡤⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠈⠉⠁⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⣭⣭⣭⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣝⣭⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣗⣒⣐⣒⣒⣒⣲⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣒⣒⣒⣔⣒⣒⣒⣒⣶⣶⣶⣶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⡀⣀⣀⢀⣀⡀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡗⠒⠒⠒⠒⠒⠒⠒⠓⠚⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠓⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡷⠶⠶⠶⢶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠉⠏⠉⠉⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠉⠝⠉⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣟⣛⣛⣛⣛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠻⠙⠛⠛⠛⠛⠉⠛⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠙⠛⠛⠙⠻⠿⠟⠉⠋⠿⠿⠿⠋⠛⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⡀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⡀⢀⣀⣀⣀⠀⣀⣀⣀⣀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠁⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠈⠉⠉⠉⠀⠉⠉⠉⠉⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡗⠒⠒⠒⠒⠒⢲⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⢠⠤⠤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣏⣉⣉⣉⣩⣹⣿⣿⣿⣿⣿⣿⣇⡝⠩⠀⠃⢭⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⡒⣒⣛⣛⣛⣛⣛⣿⣿⡿⣿⣿⡿⣿⣿⣿⣿⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡗⠶⠶⢶⣶⣶⣶⣶⣶⣶⡶⢂⡄⠖⠶⠶⣶⣦⣄⠲⣶⣶⣶⣶⠲⠖⠶⢶⣶⣶⣶⣶⣶⣶⣶⣿⠀⢸⣒⣒⣒⣒⣖⣚⣚⣓⣶⣶⣶⣶⣶⣾⣿⣿⣿⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣏⣝⣉⣙⣉⣹⣿⣿⣿⣿⡇⢾⣯⣉⣉⣋⣩⣿⣿⡇⢸⣿⣿⣿⣉⣋⣩⣍⣉⣿⣿⣿⣿⣿⣿⣿⠀⢸⠀⠀⠀⠀⢸⠿⠭⠭⠭⠽⠰⠯⠽⡿⠭⠷⣿⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣗⣒⣒⣒⣒⣒⣒⣒⣒⣲⣶⣄⡐⠲⠶⠶⠶⠖⢂⣴⣶⣶⣶⣒⣒⣒⣒⣒⣒⣒⣒⣶⣶⣶⣶⣿⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣗⣒⣒⣒⣒⣒⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡗⠒⠛⠒⠒⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠓⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠰⠀⠀⠄⠀⠀⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠆⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⢀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠁⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⣭⣭⣭⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⣭⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣗⣒⣐⣒⣒⣒⣲⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣒⣒⣒⣐⣒⣒⣒⣒⣶⣶⣶⣶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡗⠒⠒⠒⠒⠒⠒⠒⠓⠚⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠓⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡷⠶⠶⠶⢶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠆⠀⠀⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠆⠐⠀⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣟⣛⣛⣛⣛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣏⣻⣙⣛⣛⣛⣛⣉⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣙⣛⣛⣙⣻⣿⣟⣉⣋⣿⣿⣿⣋⣛⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢀⠀⠀⢀⠀⠀⢀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⡀⢀⣀⣀⣀⠀⣀⣀⡀⢀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡗⠒⠒⠒⠒⠒⠓⠚⠓⠒⠚⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠒⠒⠚⠛⠛⠛⠒⠛⠛⠓⠓⠒⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡗⠒⠒⠒⠒⠒⢲⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⢠⠤⠤⣤⣤⣤⣤⣤⣤⣤⣤⠤⠤⠤⠤⠤⠤⢤⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⣬⣭⣭⣭⣽⣿⣿⣿⡿⠟⠛⣃⣈⣀⣀⡃⠈⠼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣒⣒⣛⣛⣛⣟⣛⣿⣿⣿⣶⣶⣶⣶⣶⣶⣾⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡗⠒⠒⢲⣶⣶⣶⡶⢠⣴⣶⣶⡖⠒⠒⠒⣶⣶⣶⣤⡐⣶⣶⣶⠒⠒⠒⢲⣶⣶⣶⣶⣶⣶⣶⣿⠀⢸⣐⣒⣒⣒⣖⣒⣒⣓⣶⣶⣶⣶⣶⣾⣿⣿⣿⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣏⣝⣉⣙⣉⣹⣿⡇⢿⣿⣿⣿⣯⣉⣉⣋⣩⣿⣿⣿⠇⣸⣿⣿⣉⣋⣽⣉⣉⣿⣿⣿⣿⣿⣿⣿⠀⢸⠀⠀⠀⠀⢸⠿⠭⠭⠭⠽⠸⠯⠽⡿⠭⠿⣿⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣗⣒⣒⣒⣒⣒⣒⣒⣂⡐⠲⠶⣶⣶⣶⣶⡶⠶⠒⣀⣴⣶⣶⣒⣒⣒⣒⣒⣒⣒⣒⣶⣶⣶⣶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡗⠒⠒⠒⠒⠒⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠓⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣗⣒⣖⣒⣒⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠈⠀⠀⠁⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣯⢉⠉⣍⠉⠉⢩⠉⠉⠉⣍⠉⠉⠉⣭⡍⡍⡉⠉⠉⠉⡍⠉⠉⠉⠉⠉⢉⠉⠉⠉⠉⢩⡍⠉⠉⠉⠉⠉⠉⡍⠉⠉⢉⠉⠉⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⡍⢉⢩⠉⡍⠉⠉⠉⢩⣿⣿⣿⣿⣿
⣷⣶⡶⠶⡶⢶⠶⣶⣶⣶⣶⣶⣶⣶⣶⡖⠲⠶⠲⠶⠶⢶⠶⢲⢖⠶⠶⠶⡶⠶⠶⠶⢶⠶⠶⡖⠲⠶⠶⠶⠶⠶⡖⠲⠶⠶⢶⡖⠶⠶⠶⠶⠶⢶⡒⠶⠶⣶⣶⣶⣶⣶⠰⠶⠒⠲⠒⠖⠒⠒⠲⠒⠶⣿⣿⣿⣿⣿
⣏⣻⣓⣁⣆⣠⣘⣼⣿⣿⣿⣿⣿⣿⣿⣷⢷⣶⣶⣶⣿⣾⠶⢾⢶⠶⢦⣶⡾⡶⣶⡶⣾⢶⣶⣷⣶⣶⠶⣿⣴⣶⣷⣷⣶⢾⣾⣷⣶⣶⣶⡶⣶⣾⣷⣶⣶⣿⣿⣿⣿⣿⢸⣿⡟⡛⢟⢻⠛⡟⡻⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣷⡶⢶⡾⡶⢶⠾⠶⡾⠾⠶⠶⠶⠶⢶⠶⠶⠶⠶⠶⠶⢶⠶⢶⠶⡶⠶⠶⠶⡶⠶⠶⠶⠶⢶⣶⣶⣶⣶⣿⣿⣿⣿⣿⢸⣿⡏⠐⡘⣘⣁⣏⣐⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠿⡿⡿⠿⢿⠿⡿⠿⠿⠿⠿⠾⠟⠿⠿⠿⠿⠿⠿⢿⠿⢿⠿⠟⠿⠿⡿⠿⠿⠾⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿
⡧⠤⠤⡤⠤⠤⠜⠤⠤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣷⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿
⡏⣭⠉⢩⠉⠉⠉⠉⠉⠉⠉⠉⡍⠉⢩⢩⠉⠉⠉⢩⠉⠉⠉⠉⢩⠉⠉⠍⠉⢩⣭⣭⠍⠉⠉⠉⠉⢩⠉⡍⠉⠉⠉⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿
⡟⣿⠿⢿⠿⠿⠿⠿⢿⢟⢠⡤⠤⠤⠴⠄⠤⠤⠤⠴⠶⡶⢶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣖⣖⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣲⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿
⣿⣛⣛⣛⣟⣛⢛⣿⣿⣷⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠟⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⢸⣏⣛⣛⣛⣛⣛⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠖⣶⣶⣶⣶⣾⣿⣿⣿⠸⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣯⡍⡉⠩⠩⠭⠭⠭⠭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣿⣿⣿⣿⣿
⣿⠭⣭⣯⣭⣽⣿⣿⣿⣿⢸⡗⢒⡒⣒⣲⣳⣒⣆⣚⣶⣷⣶⣾⣶⣶⣷⣾⣶⣶⣶⣷⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⢰⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠥⢿⠿⠿⠿⠿⠿⣿⣿⢘⡛⠛⡛⠛⠛⡛⠛⡛⡛⠛⠛⢛⠛⠛⠛⠛⠛⢛⠛⠛⠛⢛⠛⠛⡛⠛⣛⣛⣛⣛⣛⣨⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿
⣿⣍⣿⣿⣿⣿⣿⣿⣿⣿⠸⠯⠭⠭⠯⠭⠯⠭⠭⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠏⠏⠛⠛⠛⠛⠻⠛⠛⠻⠛⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿
⣿⡭⣭⣥⣽⣥⣭⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣯⠶⠟⠿⠿⡿⠿⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⢽⠯⠭⢭⠭⡭⠭⣭⣭⣭⣽⣭⣽⣭⣬⣤⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣉⣿⣏⣋⣛⣟⣛⣛⣻⣋⣛⣋⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣶⣶⣶⣿⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣉⣉⣉⣉⣉⢹⣿⣿⣿⣿⣿⣿⣿⣗⣃⣍⣹⣀⣈⣹⣿⣿⣿⣿⣿⣿⣿
⣟⣛⣛⣛⣛⣛⣛⣛⣛⣛⣘⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣻⣷⣤⣼⡗⠖⠒⠓⢲⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣷⣆⣍⣛⣷⣆⣙⣿⣿⣿⣿⣿⣿
⣿⣿⣶⣶⣶⣶⣷⣶⣾⣿⣒⣸⣩⣋⣉⣿⣇⣃⣿⣉⣉⣉⣏⣍⣉⣉⣉⣙⣿⣇⣛⣿⣹⣍⣉⣹⣹⣿⣛⣸⣉⣽⣿⣿⣿⣿⣿⣿⢿⣿⣏⣏⣉⣽⣉⣉⣉⣏⣙⣩⣉⣉⣉⣉⣉⣍⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣇⣶⣀⣒⣂⣒⣐⣶⣖⣒⣒⣂⣒⣲⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣷⣴⣿⣧⣤⣤⣧⣥⣤⣤⣤⣤⣤⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣯⣭⣭⣭⣭⣭⣭⣭⣭⣭⠭⣭⣭⣭⣭⣭⣭⠭⢭⣭⣭⡭⠭⣭⣭⣭⣭⣭⡭⠭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⢭⢭⣭⡭⣭⣭⣭⡭⠭⢭⣭⣭⡭⠭⣭⣭⠭⣭⢭⣭⣭⣭⢭⣭⣭⣭⣿⣿⣿⣿⣿
⣧⣯⣭⣯⣯⣭⣭⣭⣭⣿⣬⣿⣭⣭⣭⣭⣧⣿⣼⣭⣽⣿⣧⣯⣭⣭⣭⣽⣿⣧⣯⣭⣽⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⣾⣶⣶⣶⣶⣷⣶⣾⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣾⣶⣾⣿⣿⣿⣿⣿⣿⣿
⡏⠉⠉⠉⠉⠉⣽⣟⣛⣛⣛⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣷⣶⣶⢰⣖⣆⣒⣐⣆⣒⣂⣒⣀⣲⣒⣒⣒⣂⣒⣔⣒⣒⣒⣒⣖⣒⣒⣒⣒⣐⣒⣐⣂⣂⣒⣲⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿
⡿⢿⣿⢸⣿⡇⢤⠀⠆⠠⠃⠆⠣⠤⠠⠠⡔⠀⠠⡞⠀⠄⠗⡔⠀⠄⠄⠈⠂⠀⠘⠠⣤⣧⣦⣧⣴⣤⣧⣶⣤⣤⣦⣼⣴⣶⣤⣧⣴⣴⣤⣼⣤⣦⣤⣤⣧⣾⣦⣤⣤⣦⣦⣤⣤⣤⣤⣾⣦⣧⣤⣤⣤⣿⣿⣿⣿⣿
⡇⢸⣿⢸⣿⣗⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣒⣺⣿⣿⣿⣿
⡇⢸⣿⢸⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿
⡇⢸⣿⢸⡟⣿⡟⠿⢻⠛⠟⠿⡿⠟⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣗⣹⣿⢸⣯⣿⣭⣭⣭⣯⣬⣭⣍⣯⣤⣥⣭⣭⣽⣭⣏⣭⣭⣭⣹⣭⣏⣯⣭⣽⣽⣯⣭⣭⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣽⢸⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿
⡇⢸⣿⢸⣧⣿⣭⡭⣭⣯⣤⣥⣭⣭⣭⣥⣭⣬⣭⣭⣭⣬⣭⣯⣧⡽⣭⣭⣭⣭⣧⡭⣽⣤⣭⢯⣼⣭⣥⣤⣿⣽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣋⣙⢘⣛⣛⣛⣛⣛⣛⣛⣛⣸⣿⣿⣿⣿⣿
⡇⢸⣿⢸⡷⣿⢶⡶⣶⣶⢶⣶⢾⡶⣶⢾⣶⡶⣶⢶⡴⡾⢾⣷⣶⣶⡾⣶⣾⣶⣾⣧⣶⣾⣾⣶⣾⣶⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡷⣾⢸⣿⣿⣿⣿⣿⣿⣿⠿⢾⣿⣿⣿⣿⣿
⣧⣾⣿⢸⠷⣿⠶⠖⠶⠶⠲⠶⡾⠶⠶⠶⠶⠷⠶⠶⡶⠶⡷⠶⡶⠶⡶⠿⠾⠿⢺⢻⠻⢷⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡅⢬⢨⣭⣭⣭⣭⣭⣭⣥⣤⢼⣿⣿⣿⣿⣿
⣿⣿⣿⢸⡟⣿⠟⠻⠻⠛⠟⢻⠻⠛⠿⢿⠻⠟⠛⡟⠛⠛⠛⠿⢻⡛⠛⡟⠛⡟⣞⠚⡿⠛⢿⠛⣿⢿⣿⣿⡿⣿⡿⣿⣿⣿⢿⣿⢿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡟⢻⢸⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿
⣷⣶⣶⢰⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢰⣶⣶⣶⢒⠒⣒⡒⢲⣶⣶⣶⣶⣶⣶⣶⠒⠒⠒⢒⡒⢲⣶⣶⣾⣿⣿⣿⣿⣿
⣿⢻⣿⢸⣏⣿⣉⣉⣉⣋⣉⣹⣉⣉⣉⣉⣉⣍⣉⣍⣙⣉⣹⣉⣹⣿⣿⣿⣿⣻⣿⣿⣟⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠰⠶⠶⠶⠶⠶⠶⠶⠐⠀⠐⠀⠴⠶⠶⠶⠶⠶⠶⠶⠶⠆⠀⠦⠒⣿⣿⣿⣿⣿
⣿⢐⣿⢸⣏⣿⣭⣉⣉⣹⣉⣍⣉⣉⣉⣍⣹⣩⣩⣏⣉⣏⣉⣋⣹⣟⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣟⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⠸⠿⠆⠹⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠯⣿⣿⣿⣿⣿
⣟⣸⣿⢠⣤⣿⣤⣤⣤⣥⣼⣤⣤⣤⣤⣬⣴⣦⣽⣥⣥⣤⣴⣼⣤⣤⣬⣯⣧⣤⣶⣧⣿⣿⣯⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢘⣛⣛⣃⠘⣛⣛⣛⣛⣃⣈⣀⣚⣛⣛⣛⣛⣛⣛⣛⣛⣛⣀⣀⣐⣿⣿⣿⣿⣿
⣿⣿⣿⢨⣭⣿⣥⡤⣶⣴⣴⣤⣧⣦⡶⣶⣼⣤⣤⣴⣷⣬⣴⣤⣧⣧⣼⢤⣧⣼⣤⣬⣤⣶⣤⣤⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢘⣛⣛⣛⣓⡈⢛⣛⢛⠃⢊⢂⢘⣛⣛⣛⣛⣛⣛⣛⡛⡛⠒⠐⠒⣿⣿⣿⣿⣿
⣯⣭⣭⢨⡥⣭⡤⠤⢤⠤⢤⠤⠤⢤⠥⠤⠤⢤⠤⢤⠬⠬⡥⢤⠬⠤⠤⡬⢤⠭⠤⡬⡥⣤⣤⣥⣭⣤⣬⣤⣭⣭⣭⣭⣭⣭⣭⣭⢨⣭⣭⣭⣭⣭⡄⢩⣤⣤⣤⣤⣬⣭⣭⣭⣭⣭⣭⣭⣥⣤⣤⣤⡤⣿⣿⣿⣿⣿
⣿⣿⣿⢸⠾⣿⠾⠾⠺⠾⠞⠺⡿⢾⠾⡿⠾⠾⠶⠟⠾⢾⠿⡿⠖⠷⢿⠿⣶⠿⡷⢷⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢨⣭⣭⣭⣭⣭⣭⣄⠩⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⡭⣿⣿⣿⣿⣿
⣿⠛⣿⢸⣛⣿⢛⣛⣛⣳⣛⣛⣟⣛⢛⣛⣛⣛⣻⣓⢛⡛⠛⣟⣛⣛⣻⢚⢛⣿⣻⣚⣛⣛⣟⠿⣛⣛⣟⡟⠛⣿⣿⣿⣿⣿⣿⣿⢰⣶⣶⣶⣶⣶⣶⣶⡢⠐⡲⣒⣲⣶⣶⣶⣶⣶⣶⣶⡖⠖⣒⣶⣒⣿⣿⣿⣿⣿
⣿⠈⣿⢸⣛⣻⣛⣋⣛⣛⣛⣉⣛⣻⣛⣛⢋⣛⣛⣛⣛⣛⣟⣋⣛⣛⢙⣻⣛⣻⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠰⠶⠶⠶⠶⠶⠶⠶⠶⠦⠐⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠖⣿⣿⣿⣿⣿
⣿⠀⣿⢸⣯⣿⣭⣽⣭⣭⣭⣍⣭⣭⣭⣽⣭⣭⣯⣯⣭⣭⣍⣝⣭⣭⣍⣭⠭⠭⠽⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿
⣿⣶⣿⢸⣷⣿⣮⣭⣯⣭⣭⣭⣽⣤⣭⣿⣽⣭⣭⣭⣯⣼⣬⣭⣿⣭⣥⣬⣿⣧⣥⣭⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢘⣛⣛⣛⣛⣛⣛⣛⣛⣁⣘⣁⡀⢛⣛⣛⣛⣛⣛⣛⣛⣋⣁⣛⣉⣿⣿⣿⣿⣿
⣿⣿⣿⢸⣶⣿⢶⣶⣶⣴⣶⣶⣿⣶⣾⣶⡶⣶⣾⣿⡴⣶⣶⡦⣶⣷⣶⡿⢾⣶⣶⣶⣷⣮⣶⣾⣶⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢘⣛⣛⣛⣛⣛⣛⣛⣚⠒⢚⡒⢚⣂⠙⣛⣛⣛⣛⣛⣓⡑⠒⣒⣒⣿⣿⣿⣿⣿
⡯⠍⢩⢨⣤⣭⣤⣤⣤⣬⣤⣬⣤⣤⣤⣤⣥⣤⣤⣬⣥⣤⣥⣤⣤⣬⣤⣬⣬⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⢨⡍⠭⠭⠭⠭⠉⠭⠥⢤⠬⢤⣭⣭⣤⠉⡍⠭⡭⡍⠭⣤⣤⣥⣤⣿⣿⣿⣿⣿
⡗⠂⢸⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠧⠈⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿
⡇⢀⣸⢨⣭⣿⣬⣥⣭⣭⣭⣥⣭⣽⣽⣬⣽⣥⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣽⣤⣼⣵⣜⣿⣿⣿⡷⠈⠋⣿⣿⣯⣥⣯⣭⣿⣿⣿⣿⣿
⡏⠁⢸⢠⣬⣿⣤⣤⣤⣤⣤⣭⣴⣤⣤⣽⣬⣥⣤⣯⣿⣯⣿⣿⣿⣽⣿⣽⣿⣿⣯⣿⣯⣿⣿⣿⣽⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⢘⣛⣛⣛⣛⣛⣛⣛⣛⣃⣈⣀⣘⣛⣛⣛⣛⣂⡀⢙⣛⣃⣀⣁⣀⣿⣿⣿⣿⣿
⡗⠒⠚⠘⠒⠛⣒⡒⢒⣒⣒⣚⡒⠚⣒⢒⣒⣒⣓⣓⣒⣒⣒⣚⣒⣒⣒⣓⣒⣓⣚⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣘⣛⣛⣛⣛⣛⣛⣛⣛⣒⣚⣒⣚⣛⣛⣛⣛⣛⣛⣛⣓⣓⣒⣒⣚⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣟⣛⣻⣛⣛⣻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡯⠭⠽⠭⠿⠯⠿⠹⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠍⠉⠏⢹⣿⣿⣿⣿
⣿⣿⣿⣇⣀⣀⣀⣀⣀⣛⠀⠀⠀⡂⢀⠃⠀⡊⠀⠀⠀⠈⠃⠀⠉⠀⠀⠛⢛⢛⠛⠛⠛⠛⠛⠛⡛⠛⠛⢛⡛⡛⠛⢛⠛⠛⠛⠛⠛⠛⠛⢛⠛⠛⠛⢛⠛⠛⠛⠛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣾⣷⣶⣶⣶⣷⣶⣶⣶⣶⣷⣶⣶⣷⣶⣶⣾⣶⣶⣶⣾⣶⣶⣶⣿⣷⣷⣶⣶⣷⣶⣾⣶⣶⣶⣶⣶⣾⣶⣾⣶⣶⣶⣾⣶⣶⣶⣾⣾⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣟⢛⣛⣛⢛⣛⣛⣓⣒⣚⣒⣒⣒⣒⣒⢒⣒⢒⣒⡓⣒⣒⣒⣒⣒⣓⣒⣓⣓⣒⣒⡒⣒⣒⣓⣒⣛⣚⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⡛⢛⣛⣛⣛⡛⣛⣛⣈⣙⠛⣛⣛⣛⣛⣻⣿⣿⣿⣿
⣿⣿⣿⣟⠲⡗⢶⠒⡖⠒⡶⠒⠶⣖⠒⠒⠒⢶⣶⣾⣶⣶⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣛⣻⡐⣛⣛⣿⣿⣟⣛⢛⣻⣃⣚⣛⢛⣛⣛⣿⡿⠭⠭⠭⠬⠭⠭⣿⡇⣿⣿⣯⠯⠭⠭⣹⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣯⡭⢭⠉⢉⢩⢉⢩⠉⠉⠉⠉⠉⡉⢩⢩⠉⠉⠉⠉⠉⢉⠉⠉⠉⡍⡉⡍⠉⠉⠉⡅⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⠉⠁⠉⠉⠉⠉⠉⠉⠉⠁⠉⠉⠉⠁⠉⠉⠉⠉⠉⢹⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣩⣭⣭⣭⣭⣿⣭⣭⣭⣽⣽⣯⣽⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿
⣿⣿⣿⣿⣧⣿⠬⣽⣽⣭⣽⣭⣭⣭⣭⣭⣭⣽⣽⣭⣭⣥⣥⣯⣭⣬⣭⣧⣭⣷⣭⣧⣽⣬⡅⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿
⣿⣿⣿⣿⡿⣿⠻⢿⢿⠿⢿⠿⠿⠿⠿⠿⢿⢿⢿⠿⠿⣿⠿⠿⠻⠿⠿⢿⠿⠿⢿⣿⣿⣿⡇⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣉⣋⣙⣉⣍⣻⣛⣉⣛⣉⣉⣍⣋⣙⣋⣏⣙⣯⣉⣯⣹⣉⣙⣉⣟⣉⣉⣻⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿
⣿⣿⣿⣿⡿⣿⠿⠿⠿⡿⠿⡿⠿⠿⢿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿
⣿⣿⣿⣿⡟⣿⠒⠛⠓⡓⠚⠓⠓⠟⢚⠛⡟⠒⢛⢿⢛⠛⢛⢻⠛⠛⠛⠟⠛⡟⢛⣿⣿⣿⡇⣭⣭⣭⣭⣭⣭⣍⣩⣉⣭⣭⣭⣭⣭⣭⣭⣍⣍⣩⣤⣤⣤⣤⣤⣤⣤⣄⣀⡀⣤⣤⣤⣤⣤⣤⣄⣀⣀⣼⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣽⣭⣭⣭⣽⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣷⣿⢗⠒⡒⠒⠒⢲⠒⠒⠒⠒⡖⡓⠲⠒⢓⠳⠒⠒⠒⢶⢳⠒⠒⠚⡖⠓⠒⣶⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡿⣿⢬⣥⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣛⣛⣛⣛⣛⣛⡛⢛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⠃⣛⣛⣛⣛⣛⣛⡛⢛⢛⣻⣿⣿⣿⣿
⣿⣿⣿⣿⡿⣿⠷⠶⠷⡶⠶⡾⠶⠶⠶⡶⢾⠿⠿⠿⠿⠿⠿⠿⠿⢿⠿⠿⠿⡿⢿⠿⠿⢿⡇⣛⣛⣛⣛⣛⣛⣒⣒⣒⣛⣛⣛⣛⣛⣛⣛⣒⣒⣚⣛⣛⣛⣛⣛⣛⣛⣒⣒⡃⣛⣛⣛⣛⣛⣛⣓⣒⣒⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣷⣿⣁⣁⣲⣓⣂⣓⣲⣓⣒⣐⣚⣒⣱⣶⣶⣶⣶⣷⣶⣾⣶⣶⣾⣷⣶⣶⣶⣾⡇⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠇⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿
⣿⣿⣿⣿⣯⣿⣯⣭⣯⣭⣭⣭⣽⣭⣭⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣭⣭⣭⣿⣿⣿⣿⣿⣿⣿⣯⣯⣽⣿⣿⣿⣿⣿⣿⣿⣯⣭⡅⣿⣿⣿⣿⣿⣿⣿⣭⣭⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠤⣿⠧⠴⡼⠤⠴⠿⠿⡿⠿⡿⠿⠿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣛⣛⣛⣛⣛⣛⣛⣒⣓⣛⣛⣛⣛⣛⣛⣛⣛⣓⣚⣛⣛⣛⣛⣛⣛⣛⣓⣒⡂⣛⣛⣛⣛⣛⣛⣛⣒⣒⣻⣿⣿⣿⣿
⣿⣿⣿⣿⣶⢿⠷⠶⠷⠷⠾⢶⣶⣿⣾⣷⣶⣶⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⡅⣭⣭⣭⣭⣭⣭⣭⣭⣭⣽⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢻⠟⠛⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣟⣛⣛⣽⣿⣿⣿⣿⣿⣿⣟⣟⣻⣿⣿⣿⣿⣿⣿⣿⣟⣛⡇⣿⣿⣿⣿⣿⣿⣿⣟⣛⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣻⣙⣛⣛⣙⣻⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣻⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⡇⣶⣶⣶⣶⣶⣶⣆⣐⣀⢶⣶⣶⣶⣶⣶⣶⣆⣂⣴⣶⣶⣶⣶⣶⣶⣶⣆⣀⡀⣶⣶⣶⣶⣶⣶⣶⣆⣀⣾⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣹⣋⣉⣉⣹⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠇⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣼⣬⣭⣭⣭⣭⣯⣭⣭⣭⣭⣭⣯⣭⣽⣬⣽⣬⣽⣦⣧⣭⣶⣿⣿⣿⣿⣿⣿⡇⣛⣛⣛⣛⣛⣛⣛⣛⣛⣃⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⣛⣛⣛⣛⣛⣛⣛⣛⣛⣻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢾⠶⠶⢶⠶⠾⣶⡶⠴⠶⠶⡷⠶⠿⠿⠿⠿⠿⡿⢿⠿⡿⠿⠿⢿⠿⠿⠿⡿⠇⣿⣿⣿⣿⣿⣿⡿⢿⠿⣿⣿⣿⣿⣿⣿⣿⡿⡿⢿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠇⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣾⣒⣖⣳⣁⣳⣓⣒⣒⣒⣲⣇⣲⣒⣒⣆⣱⣷⣷⣾⣶⣷⣶⣶⣿⣷⣶⣶⣾⡆⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠇⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿
⣿⣿⣿⣿⣥⣿⣭⣭⣭⣭⣹⣭⣭⣭⣭⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣭⣭⣿⣿⣿⣿⣿⣿⣿⣿⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠤⣿⠵⠦⠤⠤⢴⠤⠼⠯⠿⢿⣿⣽⣿⣿⣯⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⠿⠟⠃⣛⣋⣉⣉⣉⣉⣙⢚⠒⠛⢛⣛⣛⣛⣛⣛⡓⡓⢚⣛⣛⣛⣛⣛⣛⣛⣛⠒⠂⣛⣛⣛⣛⣛⣛⣛⡓⠒⣻⣿⣿⣿⣿
⣿⣿⣿⣿⠶⣿⠶⠾⠷⢶⣿⣶⣶⣶⣶⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⠟⣩⣴⣾⣿⡇⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣤⣬⡉⢭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⡅⣭⣭⣭⣭⣭⣭⣭⣭⣭⣽⣿⣿⣿⣿
⣿⣿⣿⣿⠛⣿⠛⠚⠛⠛⢻⡿⣿⣿⣿⢿⣿⣿⡿⣿⣿⣿⢿⣿⣿⡿⣿⣿⣿⢸⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣟⣛⣛⣿⣿⣿⣿⡆⣿⣿⣟⣟⣻⣿⣿⣿⣿⣿⣿⣿⣟⣛⡃⣿⣿⣿⣿⣿⣿⣿⣛⣛⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣉⣿⣩⣋⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣌⠻⢿⣿⣿⡇⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠂⠴⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠆⠶⠶⠶⠶⠶⠶⠶⠶⠶⢾⣿⣿⣿⣿
⣿⣿⣿⣿⣭⣿⠭⢩⠭⠭⠯⢯⠭⠽⠽⣭⣭⣭⣭⣭⣽⣭⣭⣭⣭⣭⣯⣭⣭⣭⣭⣦⣬⣍⡁⣛⠛⠛⠛⠛⠛⠛⣛⣋⣩⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠛⣿⠺⠖⠶⠶⠶⠾⠶⠶⠶⠿⢿⠿⢿⡿⠿⠿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣭⣭⣭⣭⣭⣭⡍⠩⠉⣭⣭⣭⣭⣭⣭⣭⠍⠍⢭⣭⣭⣭⣭⣭⣭⣭⣭⠉⠁⣭⣭⣭⣭⣭⣭⣭⠉⠉⣽⣿⣿⣿⣿
⣿⣿⣿⣿⣛⣿⣛⣛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡆⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿
⣿⣿⣿⣿⣉⣿⣏⣉⣉⣉⣏⣏⣉⣉⣹⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⡇⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠇⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿
⣿⣿⣿⣿⣤⣿⣮⣭⣽⣭⣭⣯⣭⣬⣭⣽⣭⣭⣭⣭⣭⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣛⣛⣛⣛⣛⣛⣛⣈⣀⣛⣛⣛⣛⣛⣛⣛⣋⣉⣙⣛⣛⣛⣛⣛⣛⣛⣛⣀⡁⣛⣛⣛⣛⣛⣛⣛⣛⣀⣻⣿⣿⣿⣿
⣿⣿⣿⣿⠶⣿⠶⠶⠶⠶⠿⠿⢿⠿⠿⠿⡿⠿⠿⠿⡿⢿⠿⠿⠿⡿⠿⡿⣿⠿⣿⣿⣿⣿⡇⠛⠛⠛⠛⠛⠛⠛⠚⠒⠛⠛⠛⠛⠛⠛⠛⠛⠓⠚⠛⠛⠛⠛⠛⠛⠛⠛⠒⠂⠛⠛⠛⠛⠛⠛⠛⠛⠒⢻⣿⣿⣿⣿
⣿⣿⣿⣿⣶⣿⣆⣒⣓⣒⣒⣒⣚⣒⣒⣒⣶⣖⣲⣀⣻⣸⣒⣆⣐⣓⣒⣲⣓⣒⣛⣛⣟⣙⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣶⣶⣾⣾⣶⣶⣶⣯⣾⣶⣶⣶⣷⣾⣶⣶⣶⣷⣶⣶⣶⣶⣾⣶⣶⣾⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣯⣯⣭⣭⣭⣭⣯⣭⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣭⡅⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡯⣭⠭⠭⢭⠭⠭⢭⢩⠭⠭⢭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⡅⣭⣭⣭⣭⣭⣭⡭⠩⠍⣭⣭⣭⣭⣭⣭⣭⠭⡭⢩⣭⣭⣭⣭⣭⣭⣭⣭⠉⠅⣭⣭⣭⣭⣭⣭⣭⡭⠉⣽⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠇⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠇⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣧⣷⣤⣤⣧⣤⣧⣦⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣷⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣟⣟⣻⣛⣛⣛⣛⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣻⣛⣾⣿⣿⣿⣿⣿⣿⣟⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣛⡃⣿⣿⣿⣿⣿⣿⣿⣟⣛⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣟⣛⣛⡛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⡃⣛⣛⣛⣛⣛⣛⣛⠛⠛⣛⣛⣛⣛⣛⣛⣛⡛⡛⣛⣛⣛⣛⣛⣛⣛⣛⣛⠛⠃⣛⣛⣛⣛⣛⣛⣛⠛⠛⣻⣿⣿⣿⣿
⣿⣿⣿⣿⠿⣧⠥⠬⡤⠤⠥⠤⠤⠤⠬⠭⠭⣭⠭⠭⠭⢭⡭⠭⠭⢭⠭⢭⣭⣭⣭⣭⣭⣭⡅⣭⣭⣭⣭⣭⡭⡭⠤⠤⣭⣭⣭⣭⣭⣭⢭⠭⡬⢬⣭⣭⣭⣭⣭⣭⡭⠭⠤⡄⣭⣭⣭⣭⣭⣭⡭⠤⠤⣽⣿⣿⣿⣿
⣿⣿⣿⣿⠛⣿⠉⠉⡍⠉⠩⡍⢉⠭⠈⠍⠉⡍⢭⢉⣭⡉⠭⠍⠁⡩⠍⠍⣭⠭⠍⠍⠩⣭⡅⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣯⣭⣭⣥⣯⣭⣭⣭⣭⣭⣭⣽⣯⣭⣭⣭⠭⢭⣭⣭⣭⣭⣭⣭⣭⣯⣭⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡤⢥⡤⠴⣬⠤⣤⣤⣴⣧⣦⣤⣤⣤⣧⣿⣬⣼⣴⣤⣤⣤⣤⣤⣾⣤⣼⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣄⣄⣀⣰⣀⣀⣸⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 1891

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/09/10/IRC_Proceedings_Monday_September_09_2024.shtml
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⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ IRC Proceedings: Monday, September 09,
2024⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Sep 10, 2024


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


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


                                              #techrights_log                                                                                           #boycottnovell_log


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


                                         #boycottnovell-social_log                                                                                        #techbytes_log


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contain all the text.


                          Enter_the_IRC_channels_now




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

                    ䷩ 𝚕𝚒𝚗𝚎 2133

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/09/10/Julian_Assange_s_Father_Turns_80_and_They_Show_Themselves_in_Me.shtml
    Gemini version at https://techrights.org/n/2024/09/10/Julian_Assange_s_Father_Turns_80_and_They_Show_Themselves_in_Me.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Julian Assange's Father Turns 80 and They
Show Themselves in Melbourne⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Sep 10, 2024


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Melbourne_Skyline_At_Dusk⦈_ Family_photo_shows_Julian
Assange_lying_low_in_Melbourne:


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


2 days ago:


            🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Happy_80th_birthday_John_Shipton!⦈_


It seems like he's gradually coming back to city life and the limelight, having
spent a couple of months near the shore (allegedly up north). Will he be active
in Wikileaks soon?




⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠿⠻⣏⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠁⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠉⠀⠉⠈⠉⠻⠟⠛⠙⠚⢿⡿⠟⠛⠿⢿⡿⠁⠁⠀⠁⠀⠀⠛⠛⠻⣿⣿⣿⣿⣿⠘⢻⡠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠛⠻⢿⣿⠀⢸⠀⢿⡿⠛⠛⠛⢿⣿⢿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡀⠀⠀⠞⠀⠀⠀⠀⠀⠀⠀⠀⢀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣷⡖⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⠿⣿⣾⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡖⢒⢈⣁⠀⣀⠀⠀⠀⠀⡐⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠘⠀⡷⠚⠈⠢⣤⡬⢿⣿⣿⠛⠀⠈⠉⠙⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠄⠂⠠⠠⠤⠍⠀⠀⠈⠀⠁⠱⡖⠂⠀⠓⠘⠒⠢⠐⠶⠶⠶⢀⠴⣴⡤⡴⠄⡤⠠⢠⡤⢠⠀⢀⣀⣀⡀⠀⣀⠀⣀⠀⣄⡀⠁⠀⠀⠀⠙⠷⣿⣿⣿⣷⣶⣶⣶⣶⡶⣶⠀⣶⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢾⡏⠈
⠠⠠⠄⠄⠀⠀⠀⠀⠀⠀⠤⠴⠴⠶⠆⠀⠀⠀⠐⠒⠀⠀⠘⠉⠀⠀⠐⠂⠐⠋⠀⠂⠀⠘⠀⠈⠉⠉⠁⠤⠭⠖⠉⠲⠓⠛⢷⡄⠄⠀⡀⠋⠁⠀⠄⠀⠀⠒⢠⠉⠩⠛⠀⠛⠉⠉⠀⠀⠀⠀⠀⠠⠀⠈⠉⠙⠃⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠉⠈⠀⠀⠀⢀⠀⠀⡀⡀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠈⠉⠉⡟⢳⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⠀⢠⠠⡆⠀⠀⡆⢀⣀⣤⣦⢠⢠⣦⣶⣾⡷⣶⠄⠀⠀⡆⡤⠄⠀⠀⠀⢠⢸⣼⣷⣇⡇⠀⣐⣀⣀⣸⣦⣀⣀⣀⣠⣤⣤⣀⣤⣅⣸⣄⠀⠀⠀⠀⠀
⠀⡀⠀⠀⠀⠀⠀⠀⡀⠀⣠⢠⣠⡀⠀⡄⠀⠀⠄⣰⠾⣿⡏⠀⢿⠿⠏⢸⠃⠃⠈⠘⠿⠟⠘⠈⠉⠋⠛⠀⠹⠀⠀⠀⠇⢁⡆⠀⠀⠀⣼⠼⣿⣿⣿⡷⠊⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⡄⠀
⡆⠳⠐⠰⠀⠃⠀⠰⡇⠀⠿⠛⠹⠃⠀⠁⠀⠀⠀⠛⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⢀⠀⣸⣧⣀⡄⠀⢹⣀⣿⣿⣿⣷⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣶⣶⣾⣾⣿⣿⣿⡟⠀⢸⠿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⢤⣼⡇⢀⠀⠀⠀⠀⣀⠀⠠⢒⢻⣿⣿⣿⣿⣿⣿⣿⡏⠀⣧⣀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⡿⣿⢿⣿⣿⡿⠿⠛⠛⠛⠻
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣇⣿⣿⡇⢸⠀⠐⠀⢠⣿⠄⠈⠂⠀⣻⣿⣿⣿⣿⣿⣿⣧⡀⠿⢿⣿⣿⠿⠿⠿⠿⠿⠻⠛⠛⠛⠉⠉⠉⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⡜⠉⠛⡛⠁⢸⠅⠀⢸⣸⡿⠵⠀⠀⠀⠈⠁⠀⠈⠿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠄⢸⡃⠀⠀⠁⠀⠈⠀⠀⠸⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⣭⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣀⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⢿⣿⣿⣿⠧⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠋⣿⣿
⣿⣿⠝⠘⠀⡩⠈⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠉⠀⢀⠀⣿⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⡈⠀⣿⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⡤⠤⣀⠀⠀⠀⠀⠸⣿⣿⣿⡿⠏⠙⠻⡿⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠘⠀⠀⠀⠈⠃⠀⣿⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠘⣿⣿⣿⣶⣒⣲⣾⣿⣦⣖⣦⣿⣿⣿⠋⠭⠹⣻⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⠟⠛⠛⠉⣛⡋⠿⢿⣿⣿⣿⣿⣿⠁⣠⣜⣿⡻⣿⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⠟⣙⠛⠛⢻⡻⣿⣿⣿⡯⣅⡀⠀⠚⠻⠿⣿⣿⣿⡟⣠⢟⣼⡟⠡⠀⢈⣩⡁⠀⠬⣿⣿⠁⠤⡴⠀⠰⡴⣁⢂⢻⣿⣿⣿⣿⣿⣮⣏⡆⠈⣿⣿⣿
⣿⣿⢧⢤⣤⣴⡆⠆⣀⣀⠀⠀⠀⠀⠀⣅⣄⣀⣠⣤⡤⠙⣿⣷⣎⣭⡅⠀⢛⣓⣴⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠐⠸⠇⣴⡿⣿⣶⣦⣶⢞⣿⣷⢶⣿⣿⣿⠂⠐⢠⠀⣰⣾⣷⣷⣿⣿⣿⣿⠿⠿⣿⣿⣏⡔⡇⣿⣿
⣿⣿⠀⢈⠀⠀⠁⠒⠙⠛⢡⣶⣶⣾⣿⣻⣿⣿⣿⠏⡁⠀⠘⣿⣿⣿⣿⣾⣿⣿⡿⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⢻⣉⣀⠠⠉⠉⠉⠤⢄⢹⡏⠁⠀⠀⣾⡿⡿⢿⣿⠟⠋⠙⠛⠓⣟⠛⠁⠊⠈⢣⣿⣿
⣿⣿⠚⠁⠀⣀⣤⣴⣶⣶⣾⣿⣿⣿⢿⠛⠟⠚⠀⠀⣇⠀⣴⣿⣿⠛⠻⠛⠛⡻⠁⠈⠗⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠉⣿⣧⣤⣆⣤⣶⣦⣾⡌⠀⠀⠀⠀⢴⣾⣷⠄⢀⠀⠠⠀⢀⣶⣧⣤⣖⣟⢛⢃⣿⣿
⣿⣿⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠱⠀⠀⠀⠀⠙⣷⣿⣿⡿⠷⠄⠀⠈⠀⠀⠀⢀⣇⣦⠀⠀⠀⠀⠀⠀⠁⢀⠀⠀⠀⡜⢻⣿⡿⣿⡿⢿⣿⠛⣧⠀⠀⢲⣦⣀⣀⠻⠂⠁⡀⠒⠛⡁⠀⠃⠉⣙⠛⠉⠈⣿⣿
⣿⣿⡻⡵⡰⣦⠽⢿⢿⣿⣯⣿⢿⢶⠐⠀⠀⠀⠀⠀⠀⠈⠛⠋⠁⠀⠀⠀⠀⣀⣰⣾⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣷⢀⠀⠀⠀⢀⠐⠋⢸⣿⣆⠀⠈⠉⠹⡟⠷⣄⢀⡔⠒⠒⠛⠶⠧⠤⢷⢤⣤⢀⣿⣿
⣿⣿⣍⠟⣹⠏⡨⢥⣬⢟⠋⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⢀⣠⣠⠌⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣼⣷⣄⣀⣸⣷⣄⣼⡏⠁⠀⠀⠀⠀⠀⠀⠙⢻⠏⠀⠀⠀⠀⠀⠀⡀⠀⢆⠰⣿⣿
⣿⣿⠁⠁⠐⠛⠐⠉⠉⠛⠀⠀⠀⠀⠀⣀⠠⠈⠀⠀⠀⠀⠀⠈⢀⣹⣿⣿⣧⣻⣿⣿⣿⣟⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣂⣀⣤⣤⣴⣶⣶⣾⣿⣿⣿⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⡤⣾⡿⠿⣷⣿⣿⣿⢿⣿⡿⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢟⣿⣻⣿⣿⣿⠛⣩⡿⢡⡿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⣉⣿⣫⣿⣯⣿⠷⢇⣾⣿⠁⣾⣾⣿⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⡠⠀⠀⠀⠀⠀⠵⡿⠿⢻⠟⠋⠟⣹⡿⢁⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠊⢙⡻⢿⣿⣿⣿⣿⣿
⣿⣿⠀⠀⢀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⢀⡴⠋⢀⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣃⢸⣿⣶⣮⣝⠻⣿⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠶⠋⣀⣼⣿⣿⣿⣿⣿⣿⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠍⣤⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣾⣷⣾⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠟⠉⣶⣾⣿⣿⣿⣿⣿⣿⣿⣯⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⡙⣥⠬⢿⣿⣿⣿
⣿⣿⣏⣻⣟⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡼⣿⠻⣿⣿⣿⣿⠯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡀⠀⠉⠉⢉⠉⣿⣿
⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⢠⢽⡿⡏⡶⣯⠛⠛⢃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠀⠄⠀⠀⣿⣿
⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣷⣿⣷⣷⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣷⣾⣶⣶⣶⣶⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⢫⣿⡿⠟⢿⣿⡿⢻⣻⠛⠟⣿⠿⡟⡟⣟⣟⢻⢻⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡏⢺⠗⣧⣀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣷⣄⣀⣘⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣩⣿⡋⢟⣛⣟⢟⡱⣉⣯⣽⣿⣃⣿⣹⣏⡻⣈⣽⢿⡿⣯⣽⣿⣩⣿⢿⣿⣁⣿⣋⣯⣽⣟⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡿⠉⢹⡉⢛⢹⠋⠉⠙⠉⠉⠉⠉⠉⠉⠉⠙⢽⠋⢿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠉⠉⠉⠙⣿⣿⠉⠉⠉⠉⠉⠉⠉⢹⣿⠋⠉⠙⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⠿⠛⢿⣿
⣿⡏⠄⠊⠀⠐⠀⠀⠀⣀⣂⣀⣀⣀⣀⣀⣤⣄⡀⠀⠀⠛⠻⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⢀⠐⠀⠀⠀⣰⡇⠀⠀⠀⠀⠀⠀⠀⠀⢹⡿⠛⠉⠀⠀⢸⣿
⣿⣇⣐⠀⢶⣀⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⢶⣄⡘⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣛⣯⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⣿⣇⣶⣿⠿⢟⠛⢉⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠹⠛⠉⠉⢉⠛⣿⠼⣿⣿⡻⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣶⣶⣶⣶⣾⣿
⣿⡟⠉⠀⠈⠀⠀⡌⢀⣴⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⠈⣽⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⣿⡇⠀⠀⠀⠀⠀⠈⢹⣿⢿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣲⡎⠀⠀⣀⣰⠀⠀⠀⠆⢸⣿⣿⣿⣿⣿⣿⣿⣧⣤⣤⣤⣤⣶⣶⣶⣶⣶⣶⣾⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⣧⣄⠀⠒⠀⠀⢾⣼⠿⢿⠞⡲⠟⢹⢀⠀⢀⡀⠀⠀⢀⣀⢀⣠⣼⣹⡓⢲⠲⠒⣾⣿⣄⠀⠀⠪⠋⠑⠿⠿⠿⠿⠯⠭⠭⠽⢿⡿⠿⠿⠿⠿⠷⢶⣾⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠿⠿⢿⣿
⣿⡇⣈⠏⠀⠀⠀⠈⣿⡿⠹⡀⠀⢠⠆⠸⡗⠂⡁⡛⠛⠛⠃⡛⠛⠋⢓⣶⣴⣶⣶⣿⣷⣶⣿⣷⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⣿⣿⣿⡟⠛⢻⣷⣶⣔⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿
⣿⡇⠀⠀⠀⠀⠀⠀⠘⣿⠀⢧⠀⢸⣶⣦⣷⣶⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⠛⠻⣿⣿⣷⣶⣶⣶⢾⣿⣿⣿⣿⣿⣿⣿⠿⠻⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿
⣿⡇⠀⠀⠀⠀⠀⠀⠀⢹⡄⢸⡆⠽⠿⡿⣿⣿⢿⣿⣿⣷⣿⢿⢿⡿⣿⣿⢿⡿⢶⡯⣾⢿⡿⡿⣽⣿⣻⣿⣿⣿⡏⠰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣶⣶⣦⣸⣿⣿⣿⣿⣿⣿
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⡇⠈⣿⠀⢲⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣧⣠⣿⣿⣿⣿⣟⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⣿⣿⣿⣿
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣾⣿⣿⡷⣶⠀⠀⠀⠀⠐⢡⣾⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠋⠀⠀⠀⠀⠀⠈⠿⣿⡧⠀⠀⠀⢸⣿
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣤⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠠⠶⣇⡀⠀⣧⣶⢸⣿
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠢⠠⠂⠀⠀⠀⠀⠀⠀⠀⠻⣿⣤⣼⡏⢸⣿
⣿⣧⠀⠀⠀⠀⠀⠤⠂⠀⠀⠐⠉⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣾⣿⠀⠀⠀⠀⠀⠈⠻⡽⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⣠⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣞⢗⠚⠃⢸⣿
⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⢭⢷⡭⡭⣏⣻⣟⣛⡻⡛⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⣿⣤⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢾⠆⠀⠀⢻⣿
⣿⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⣓⣛⣿⡿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣟⣾⣾⣦⣬⣭⣽⣏⣏⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⡁⠀⠀⢸⣿
⣿⣿⣷⣤⣤⣶⡄⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣾⣿⣭⣭⣽⣿⡟⣛⣛⣿⡿⠿⠿⢿⣿⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⣿⣿⣿⣿⣯⡻⠅⠀⠀⠀⠀⢀⣟⣆⠄⢀⠀⠉⠉⠉⠉⠛⠛⠛⠛⠿⠿⠿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⢸⣿⣿⣷⡮⡅⠈⡄⠰⠂⠀⡀⠀⡠⢴⣷⣮⡢⣾⣿⣌⣍⣭⢝⡛⢛⣻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⣿⣿⣿⣿⣿⡟⡆⠀⠀⠀⠀⣾⣿⣟⠃⡨⣯⣯⣷⣦⣄⣠⡐⣷⢷⣜⣿⣿⣿⣿⣿⣿⣿⣿⣯⣧⣵⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⣿⣿⣯⣭⣽⣧⣽⣤⣤⣤⣤⣿⣿⣷⣴⣴⣦⣭⣿⣿⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣾⣿

                    ䷩ 𝚕𝚒𝚗𝚎 2250

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/09/10/Nearly_Two_Years_After_Quitting_My_Job.shtml
    Gemini version at https://techrights.org/n/2024/09/10/Nearly_Two_Years_After_Quitting_My_Job.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Nearly Two Years After Quitting My
Job⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Sep 10, 2024


  🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇I_know_everything..._Like_a_boss_[vs]_tech_person_makes
                           reasonable_suggestions⦈_


My last job I had held since 2011 (after being a postdoc) and I really wanted
to quit in 2019 when "SHTF". My colleagues and I were bullied by managers
(grievance complaint got filed) who didn't even know what "Linux" was. Looking
back, given that we now know they also embezzled our pension money (that's
pension fraud), there was no reason to stay there. Suing them for the stolen
money would be more expensive than the case is "worth" and the company now
hides in the US, so enforcing the law would be harder (we already reported this
to Action Fraud, MPs etc.) if not impossible.


Life has been good since leaving that job and nowadays health is a lot better.
Less overnight duties (except sites-related), no stress, and no more arguing
with a clueless boss about why Clown_Computing is nonsense, where company money
gets wasted in vain.


I have friends who did the same - they quit their job in "IT". Some of them
were made to work overtime for no extra pay and the pressure at work was
generally growing. Why put up with it? █




⠀⠀⠀⠀⢀⣀⣤⡏⢡⣬⠙⡏⣭⣭⣩⣭⣩⣭⢩⣭⢛⣭⣭⣝⢫⣭⢩⣭⡍⣭⣭⢻⢫⣭⣭⣭⣭⡍⣥⡤⣤⣤⡄⣤⣤⣤⡀⣤⡄⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⣤⡄⣤⣄⢠⣤⢀⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢠⣿⣿⣿⡇⢸⣿⠀⡇⣿⣿⣿⠇⣿⣿⣾⣿⢸⣿⢹⣿⣾⣿⣼⣿⣇⣿⡟⣼⢸⣿⣏⡹⣿⣿⣿⡇⣿⣏⡁⣿⣿⣿⡿⢹⣷⣿⠏⢹⣿⡏⢹⣿⣿⣿⡇⣿⡇⣿⣿⣼⣿⢸⣿⠸⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣼⣿⣿⣿⡇⢸⣿⠀⡇⣿⣿⣿⡆⣿⣿⣿⣿⢸⣿⢸⣿⡏⣿⣿⡿⣿⣿⡇⣿⢸⣿⡟⠃⣿⣿⣿⠃⣿⡟⠃⣿⣿⣿⣧⠀⣿⡟⠀⢸⣿⡇⢸⣿⣿⣿⡇⣿⡇⣿⡿⣿⣿⢸⣿⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣼⣿⣿⣿⣇⠸⠿⢄⡇⠿⠿⠿⠿⠿⠿⠻⠿⢘⠿⠾⠟⣀⠿⠿⠇⠿⠿⠇⠁⠸⠿⠿⢇⠻⠿⠿⡀⠿⠿⠷⠿⠿⠿⠿⠀⠿⠇⠀⠸⠿⠇⠸⠿⠿⠿⠇⠿⠇⠿⠇⠻⠿⠘⠿⠾⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣼⣿⣿⣿⣿⣿⣿⣿⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⢿⣿⠿⠛⠟⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣆⣿⣿⣶⣶⣿⣷⣶⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⠋⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⠥⢾⣿⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠋⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠻⠿⡿⠟⠋⢿⣾⠈⢢⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⡅⣧⠘⢿⡀⠀⣰⣿⡇⠀⠐⢿⡿⣿⣷⣶⣤⣤⣤⣒⡢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠇⠿⢆⠀⢷⣮⠆⠙⠀⠀⠀⡀⡄⠛⢻⣿⡿⠿⠋⢹⢿⣷⡕⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⠛⠛⠻⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠐⢠⣼⣿⣿⣏⣙⡀⠀⠀⠀⠀⠁⠀⠈⠉⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠠⣤⣤⣤⣤⣶⣶⣶⣴⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⡶⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡟⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢁⣴⣿⣿⣿⣟⡀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣯⠛⠃⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣻⣯⣿⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⢀⠸⣿⣿⡿⢿⡿⢟⣿⡀⠀⠀⠀⠀⠈⢿⢻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠈⠷⣼⠓⠀⠀⢀⣾⣿⡇⠀⠀⠀⠀⠀⢈⣽⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠙⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠠⠃⠀⢀⣾⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠘⠿⠿⠛⠛⠋⠉⠉⠀⠉⠉⠉⠁⠀⠀⠀⠀⠠⠒⠋⣭⣍⣀⡀⠀⠀⠀⠀⠀⠀⣀⣻⣠⣤⣤⣤⣤⣤⣤⣖⠲⣶⠾⠂⠃⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣶⣦⣤⣶⣾⣿⣿⣷⣶⢹⣷⣶⢱⣶⢻⣶⢲⣶⣶⡎⣿⢱⣶⣶⡾⠿⢳⣶⣶⣶⡄⣴⡶⣶⡄⣴⣶⣶⣆⣴⣶⣶⣆⠀⠼⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⡿⠿⠿⢿⡟⢸⣿⠘⣿⣿⢸⣿⣿⡏⢸⣿⣧⡌⣯⢸⣿⣿⡇⢠⢸⣿⣷⣿⡃⣿⡇⣿⣿⠻⣿⣯⡉⠻⣿⣯⡉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠶⠶⣶⣦⣤⣄⢸⣿⣀⣿⣿⢸⣿⢻⣿⢸⣿⣏⡁⠀⣿⣿⣿⣿⠈⢸⣿⣏⣿⡇⣿⣇⣿⡿⣶⣾⣿⣿⣶⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠘⠛⠛⠙⠛⠘⠛⠙⠛⠛⠛⠛⠃⠀⠛⣋⣘⣛⣤⠘⠛⠛⠛⠁⠉⠛⠛⠁⠈⠛⠛⠁⠈⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁
⠀⠀⢠⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠁⠀⠀
⠀⠀⢸⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠶⠿⠿⠿⠷⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⢀⣀⣀⣀⣀⣤⣤⣤⣶⣴⣶⣤⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⠉⢱⣶⣤⣀⣤⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣤⣾⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣴⣶⣄⡀⠀⠀⠀⠀⠀
⠀⣼⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⡀
⢰⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣀⣀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⡟⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣾⣿⣿⣿⠀⠀⣤⣤⣶⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣿⣿⣶⣦⣤⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⣿⣿⣿⠷⠶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣿⣇⣀⣀⣀⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢩⣯⣭⣭⣿⣿⣿⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢠⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⣿
⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢛⣛⣻⣿⣿⣷⣶⣶⣾⣿⡟⠛⣿⣿⣶⡆⠀⣿⣿⣿⣿⣿⣿⣷⣶⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣿⣿⣿⣿⣿⣉⣻⣿⣿⣿⠛⠁⠀⠿⢿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣹
⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⠀⠀⠶⠾⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠶⠆⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡊
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠛⢻⣿⣿⣿⣿⣿⣿⣿⣷⣀⡀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠁
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠿⢿⠀⠀⠀⢠⡤⠀⠘⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠈⠁⣤⡄⠀⠈⠉⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣛⣛⣛⣛⣛⡻⠿⣛⡻⠿⣛⡛⣛⡀⠀⣀⣀⡀⢀⣀⣀⢀⣛⣓⠲⠀⣀⡀⠘⠛⣛⠻⠟⣛⠛⣛⢿⡿⣛⡻⢿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣟⡻⠟⣃⡀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡜⢻⣿⠛⣿⡟⠃⣾⡟⣿⡆⣿⣿⣿⡇⠀⣿⡟⣿⣾⣿⠛⢸⣿⢻⣷⣾⣟⠿⠇⣿⣿⣿⣾⣿⣾⣿⠈⢸⣿⣿⣿⣿⡇⣿⣿⡇⢸⣿⣾⡏⣿⡟⠃⣿⣟⠿⠄⠀⣀⣸⣿⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⠀⣿⡟⠃⣿⡇⣭⡅⣿⣿⣿⡇⠀⣿⡟⠛⢹⣿⠛⢸⣿⢻⣧⣈⡻⣷⡆⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⢿⣿⣿⣧⣿⣹⣿⢸⣿⣿⡆⣿⡟⠃⣙⡻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⠿⢀⠿⠿⠧⠻⠷⠿⠃⠿⠿⠿⠇⠀⠿⠇⠀⠸⠿⠿⠸⠿⠸⠿⠹⠷⠿⠃⠻⠿⠿⠹⠿⠸⠿⠀⠸⠿⠸⠏⠿⠿⠿⡹⠿⠸⠿⡻⠷⠿⠿⢷⠻⠷⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣬⣭⣭⡉⣭⣭⡍⣭⣭⡝⢛⣭⣭⡛⢋⣭⣄⡀⣤⡄⣤⡄⣤⣤⡄⢠⣤⣤⡀⣤⣤⠀⣤⣤⡄⠀⣠⣤⣄⢠⣤⢠⣤⢀⣠⣤⡀⢀⣤⣭⡙⣯⣭⣽⣻⣭⣝⢻⣭⣭⣭⣭⡄⢀⣤⣄⡀⣤⡄⣤⣌⣡⣤⣀⠀⠀⠀
⠀⣿⣿⣿⠇⣿⣏⡁⣿⣿⣷⢸⣿⣟⠃⣿⡇⣿⡇⣿⣷⣿⡇⣿⢿⣇⢸⣿⣿⡇⣿⣿⠀⣿⣏⡁⠀⣿⣿⡛⢺⣿⢸⣿⢸⣿⠸⠿⢸⣿⠻⠿⣿⣿⣉⢿⣧⣛⢫⢹⣿⠉⣿⡇⣿⡇⣿⡇⣿⣷⣿⡿⣿⣜⡛⠠⠀⠀
⠀⣿⣿⣿⡇⣿⣏⣡⣿⣿⣿⢰⣿⣿⣧⣿⡇⣿⡇⣿⣿⣿⣿⣿⣾⣿⢸⣿⣿⣷⣿⣿⡀⣿⣏⡁⠀⣾⡟⣿⣾⣿⢸⣿⢸⣿⢹⣿⢸⣿⣻⣿⣿⣿⣉⣶⡟⣿⡏⢸⣿⠀⣿⡇⣿⡇⣿⡇⣿⣿⣿⣷⣾⢻⣿⠐⠀⠀
⠀⠛⠋⠛⠃⠛⠛⠛⠛⠘⣛⣋⣛⣛⣣⣝⡛⠛⠁⠛⠋⠛⠛⠛⠘⠛⠘⠛⠛⠃⠛⠛⠃⠛⠛⠃⠀⠙⠛⠛⠀⠙⠛⠋⠈⠛⠋⠛⠈⠛⣋⣻⣿⣛⣻⣽⣛⣻⣵⣼⣻⣶⣟⠃⠙⠛⠛⠁⠛⠋⡛⣃⡛⠛⠋⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 2347

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

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⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ New Article in redhat.com: How to Install
Microsoft Windows⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Sep 10, 2024


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇redhat.com⦈_


Yesterday:


 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇First_and_only_article:_Create_a_backdoored_Windows_golden
              image_for_OpenShift_Virtualization_at_redhat.com⦈_


That's just about as bad as that sounds...


 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇To_get_started,_we_are_going_to_need_to_get_the_Windows_11
                              ISO_download_link⦈_


Of course Microsoft will reciprocate for this marketing. It'll_brick_dual-boot
setups.




⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣶⣶⣷⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠟⠉⠀⠀⠀⠀⠀⠀⠉⠛⠷⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢸⡏⠉⠉⠉⠻⣷⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⣿⡇⠀⠀⠀⣀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢸⣇⣀⣀⣀⣰⡿⠀⣰⡞⠛⠛⢷⡄⠀⣠⡾⠛⠛⠳⣿⠀⠀⠀⠀⢸⣧⣀⣀⣀⣀⣿⡇⠀⠚⠛⠛⠻⣷⠀⠛⢻⡟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢸⡏⠉⠉⢻⣯⠀⠀⣿⠶⠶⠶⠾⠿⠀⣿⠀⠀⠀⠀⣿⠀⠀⠀⠀⢸⡏⠉⠉⠉⠉⣿⡇⠀⣤⠶⠶⠦⣿⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢸⡇⠀⠀⠀⢻⣧⠀⠻⣦⣀⣀⣤⠀⠀⠹⣧⣄⣀⣴⣿⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⣿⡇⠀⣿⣄⣀⣠⣿⠀⠀⢸⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠈⠁⠀⠀⠀⠀⠉⠁⠀⠀⠉⠉⠁⠀⠀⠀⠀⠉⠉⠀⠉⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠉⠁⠀⠀⠉⠉⠁⠉⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢠⣤⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢸⣿⠉⠉⠉⠻⣿⣆⠀⠀⣀⣤⣤⣄⡀⠀⣤⣄⠀⠀⠀⣤⡄⠀⢀⣤⣤⣄⡀⠀⢸⣿⠀⠀⢀⣠⣤⣤⣀⠀⠀⢠⣤⣠⣤⣤⡀⠀⠀⠀⣀⣤⣤⣀⠀⠀⢠⣤⣠⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢸⣿⠀⠀⠀⠀⢹⣿⠀⣼⣿⠋⠉⢹⣿⡀⠹⣿⡄⠀⣼⡿⠁⣸⣿⡋⠉⢹⣿⡄⢸⣿⠀⢠⣿⠟⠉⠙⢿⣧⠀⢸⣿⠋⠉⠙⣿⣦⠀⣾⣟⠉⠉⣻⣷⠀⢸⣿⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢸⣿⠀⠀⠀⣠⣿⡟⠀⢿⣿⠛⠛⠛⠛⠃⠀⢹⣷⣴⣿⠃⠀⢿⣿⠛⠛⠛⠛⠃⢸⣿⠀⢸⣿⡀⠀⠀⣸⣿⠀⢸⣿⠀⠀⠀⣼⡿⠀⣿⣟⠛⠛⠛⠛⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠸⠿⠿⠿⠿⠟⠋⠀⠀⠈⠻⠿⣶⠿⠗⠀⠀⠀⠻⠿⠃⠀⠀⠈⠻⠿⣶⠿⠗⠀⠸⠿⠀⠀⠙⠿⢿⠿⠟⠁⠀⢸⣿⠿⠾⠿⠟⠁⠀⠘⠻⢿⣾⠿⠆⠀⠸⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠤⠤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤
⣤⣄⡀⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣷⡄⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢉⠩⡭⡍⡉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡬⣬⣬⣬⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣶⣾⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣛⣝⣏⣿⣈⣟⣍⣿⣙⣍⣿⣯⣻⣙⣇⣹⣹⣹⣙⣉⣋⣏⣹⣿⣿⣋⣏⣻⣫⣽⣿⣩⣹⣿⣹⣻⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣻⡟⡟⣿⣻⢻⡿⡟⡿⢿⣿⣻⣻⢛⣿⣻⣻⢻⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠁⠀⠀⠁⠘⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡿⣛⣻⠿⠿⢿⠿⠿⢿⠿⣿⡿⢿⣟⠿⢻⠛⡿⠿⡿⠟⡿⢿⢿⢿⠿⢿⣿⠿⠿⠿⡟⡿⡟⡿⢿⠿⢿⡟⡿⠿⢿⠿⢿⠿⢿⠿⢿⡟⠽⠿⡿⢿⡟⣛⣻⠿⢿⠿⢿⠿⠟⢛⡛⠿⡟⠟⠽⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣝⣽⣸⣔⣾⣴⣼⣻⣔⣾⣗⣾⣿⣰⣆⣧⣿⣇⣬⣇⣼⣧⣦⣎⣷⣮⣧⠿⣠⣯⣄⣼⣇⣤⣲⣸⣼⣇⣿⣧⣇⣕⣼⠜⢸⣔⣾⣇⣧⣫⣇⣿⣧⣝⣵⢘⣵⣔⣾⣼⣨⣗⣤⣿⣇⣇⣿⣻⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡟⣿⢟⠻⠿⠻⢿⢿⡿⡟⡟⠿⢿⢿⠟⠟⣿⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣌⣾⣀⣿⣘⣘⣸⣉⣀⣇⣃⣋⣃⣇⣃⣜⣣⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⠿⠿⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣯⣴⣼⣽⣥⣾⣿⣵⣤⣿⣤⣽⣭⣬⣥⣶⣿⣿⣿⣿⣶⣿⣑⣁⣚⣃⣛⣛⣙⣘⣛⣙⣊⣋⣘⣈⣚⣷⣥⣿⣤⣿⣴⣿⣿⣵⣧⣿⣵⣬⣼⣧⣤⣴⣽⣶⣮⣧⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⡿⣿⣿⣿⡿⣿⣿⢿⣿⣿⣿⢿⡿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⢿⣿⣿⣿⣿⢿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣧⣶⣼⣦⣶⣴⣽⣯⣵⣵⣯⣧⣽⣿⣷⣯⣯⣿⣶⣿⣾⣷⣿⣿⣷⣽⣿⣮⣯⣯⣷⣷⣷⣷⣿⣿⣯⣯⣶⣼⣿⣿⣿⣵⣶⣾⣧⣷⣿⣯⣿⣿⣿⣾⣾⣾⣮⣷⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡿⣿⢿⣿⢿⢿⢿⠿⡿⢿⠿⡿⣿⢿⣿⣿⣿⣿⣿⣿⢿⡿⡿⣿⣿⣿⣿⣿⣿⡿⡿⡿⣿⡿⣿⡿⣿⣿⠿⣿⣿⡿⡿⣿⣿⡿⣿⠿⣿⣿⣿⢿⣿⡿⡿⡿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣶⣾⣶⣶⣶⣿⣼⣿⣷⣷⣷⣿⣶⣾⣿⣿⣶⣶⣿⣾⣷⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣾⣿⣿⣿⣷⣿⣿⣾⣾⣿⣿⣿⣿⣾⣿⣶⣷⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡿⡿⠿⠿⡿⢿⡟⠟⢛⣿⣿⣿⡿⠫⣿⣿⣿⡿⡿⠿⣿⣿⣿⣟⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣷⣷⣶⣾⣿⣯⣤⣾⣿⣿⣿⣿⣸⣿⣿⣿⣧⣧⣧⣿⣿⣿⣧⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤
⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿
⣿⣿⣧⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣏⢏⠋⡭⡏⡝⣿⣽⠍⡫⡟⢛⢹⣿⣿⠿⣟⠉⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣷⣎⣏⣏⣽⣩⣉⣯⣉⣉⣯⣭⣹⣉⣍⣏⣏⣍⣉⣯⣉⣯⣍⣉⣁⣯⣹⣉⣩⣩⣩⣉⣏⣱⣽⣩⣩⣉⣳⣿⣀⣗⣺⣹⣩⣭⣅⣹⣩⣹⣏⣉⣻⣯⣏⣽⣉⣏⣙⣉⣽⣹⣉⣯⣋⣹⣉⣉⣏⣏⣨⣍⣿⣿⣿⣿
⣿⣿⣏⣟⣿⣻⣛⣛⣿⣛⣿⣿⣿⣛⣻⣫⣹⣿⣟⣻⣿⣟⣟⣛⣻⣛⣹⣻⣏⣙⣿⣟⢿⣻⣿⣛⣿⣽⣍⣿⣟⣟⣋⣟⣙⣿⣿⣛⡟⣻⣟⣻⣟⣛⣹⣿⣻⣛⣻⣛⣟⣻⣟⣋⣟⣟⣿⣟⣛⣟⣟⣻⣟⣟⣿⣿⣿⣿
⣿⣿⡟⡛⠛⣻⢻⢿⡛⠛⠻⢻⣛⡛⣟⡟⠛⠋⡟⢻⢻⠛⠛⠟⢻⠋⠟⡏⢿⡟⡛⠛⠛⠙⡟⣋⣹⠋⢻⡟⡟⣛⣛⡟⡟⠋⣟⡛⡟⠻⡛⢻⡫⣛⣟⣟⠛⣟⡛⠙⠛⡛⢻⣛⠛⢿⠋⠛⠻⡟⢹⠛⢻⣿⣿⣿⣿⣿
⣿⣿⡿⢿⠻⣿⣿⡟⢻⣿⡟⠻⠿⠿⠟⡿⠿⣿⠟⣻⡿⠻⠿⠿⣟⣻⢛⡻⠿⣿⣿⡿⠿⠿⣿⡟⣟⢛⡟⠿⣿⢿⠻⢻⡟⢿⠟⣿⠿⢿⠿⢿⢛⡿⣿⢿⢿⠟⢿⡿⣿⡟⣿⢚⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣧⣢⣫⣩⣍⣝⣉⣃⣎⣰⣉⣁⣫⣉⣹⣶⣧⣢⣉⣽⣨⣍⣉⣉⣹⣒⣠⣢⣇⣝⣹⣉⣪⣸⣃⣩⣁⣋⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣛⢛⠛⢛⣛⢛⡙⡛⠛⠛⣛⢛⡛⢛⢛⣻⢛⣛⣛⢛⠛⠛⠛⠛⣛⢛⣛⣛⢛⣟⣛⡛⡟⡛⢛⡙⢛⣛⣛⢻⢛⡛⠛⣛⣛⣛⢻⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣯⣭⣉⣹⣉⣍⣩⣹⣋⣍⣍⣉⣍⣏⣩⣉⣏⣍⣩⣍⣹⣭⣏⣍⣏⣩⣩⣭⣉⣍⣩⣍⣩⣩⣍⣩⣍⣉⣩⣩⣉⣹⣉⣉⣉⣍⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣧⣴⣦⣤⣤⣤⣧⣤⣤⣤⣼⣤⣤⣤⣤⣤⣤⣤⣤⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡏⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠉⢹⣙⣛⣛⡟⣛⣛⡛⢛⣟⣛⣛⣙⣛⣙⢻⣛⣟⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡻⢿⡿⢟⢿⣻⠿⢿⣿⠿⣿⠿⡿⣿⠿⠿⢿⣻⡻⢿⢿⠿⠿⣿⢿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣾⣾⣶⣿⣷⣷⣾⣿⣷⣷⣿⣿⣾⣿⣾⣿⣿⣶⣷⣾⣾⣿⣾⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣯⣽⡟⠛⡏⣿⡿⡛⢻⢿⡛⠛⢻⢿⣛⣿⣿⡟⠛⢿⣫⢙⠋⠛⢛⣿⢝⢛⣻⣻⠛⢻⢫⣻⢻⢻⢻⢿⣏⣉⢙⡛⡛⣛⠛⣯⡟⠛⠛⡻⣛⢛⢫⣻⡛⠛⣿⢙⢍⣏⢻⣻⢛⢙⢹⢛⢛⡋⢛⠛⣿⣿⣿⣿⣿⣿
⣿⣿⡟⣟⣛⠛⣻⠟⡻⣻⢟⡟⡟⡟⣻⢻⠛⠟⠻⣟⠛⡟⡟⣟⠿⠛⢿⠻⣿⣛⣻⣻⡟⣟⠟⡟⡛⣟⠛⡻⢻⠿⡟⣟⢻⠛⡟⢿⡟⡻⡟⠟⢛⡻⡛⠛⡟⠛⡿⠛⢟⣟⣟⢻⣟⠛⢻⡟⠛⡛⣟⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡿⣿⠿⠿⢿⢿⡿⢿⢿⠿⢿⣿⠿⡟⡿⡿⡿⣿⢿⠿⠿⡿⡿⡟⠿⡿⢿⠿⠿⣿⡿⠿⣿⠿⡿⣿⢿⢿⢿⠿⢿⠿⡿⠿⡿⣿⢿⢛⠿⠿⠿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣷⣷⣷⣶⣷⣾⣶⣿⣾⣿⣾⣾⣶⣷⣷⣷⣷⣿⣾⣾⣾⣶⣷⣷⣶⣷⣾⣶⣾⣾⣿⣷⣿⣾⣷⣷⣾⣾⣾⣶⣾⣾⣷⣿⣿⣿⣿⣾⣷⣶⣷⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 2465

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/09/10/OSI_s_Blog_is_Still_100_Microsoft_Sponsored_Attacks_on_Free_Ope.shtml
    Gemini version at https://techrights.org/n/2024/09/10/OSI_s_Blog_is_Still_100_Microsoft_Sponsored_Attacks_on_Free_Ope.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ OSI's Blog is Still 100% Microsoft-
Sponsored Attacks on Free/Open Source Software⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█
⌧


posted by Roy Schestowitz on Sep 10, 2024,
updated Sep 10, 2024


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


This is the latest:


  🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Open_Source_AI_Definition_–_Weekly_update_September_9⦈_


Notice author:


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


Always doing the Microsoft-sponsored "hey hi" (AI) spiel:


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


OSI is a compromised, defunct body. It exists to serve the enemies of its
original mission. Just check where its money comes from...




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

                    ䷩ 𝚕𝚒𝚗𝚎 2729

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/09/10/Over_at_Tux_Machines.shtml
    Gemini version at https://techrights.org/n/2024/09/10/Over_at_Tux_Machines.gmi

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


posted by Roy Schestowitz on Sep 10, 2024


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇A_lap_top_computer_and_a_cup_of_coffee,_outside_on_a_patio
table,_with_green_trees_and_flowers_in_the_background.⦈_


⚓  Updated This Past Day⠀⇛


   1. ⚓ Programming_Leftovers⠀⇛


           Programming related picks for the day


   2. ⚓ Open_Hardware_Leftovers⠀⇛


           3 picks only for today


   3. ⚓ BSD:_fail2ban_and_self-hosting⠀⇛


           a pair of BSD-focused posts


   4. ⚓ Security_Leftovers⠀⇛


           only 3 picks for now


   5. ⚓ Software:_Hyprland,_Katalog,_and_More⠀⇛


           some FOSS picks


   6. ⚓ today's_howtos⠀⇛


           lots for Monday


   7. ⚓ Debian:_The_Latest_From_Debian_Developers⠀⇛


           4 new picks


   8. ⚓ Audiocasts/Shows:_GNU_World_Order,_LINUX_Unplugged,_This_Week_in
      Linux⠀⇛


           new episodes about GNU and Linux


   9. ⚓ GNOME_47.rc_released!⠀⇛


           "Final release is very close now!"


  10. ⚓ Programming_Leftovers_and_Free_Software⠀⇛


           FOSS and coding


  11. ⚓ Windows_TCO:_Critical_Infrastructure_and_Banks⠀⇛


           the true cost of Microsoft


  12. ⚓ The_Dream_of_Stock_Android_is_Dead,_and_That's_Okay⠀⇛


           Android Leftovers


  13. ⚓ 9to5Linux_Weekly_Roundup:_September_8th,_2024⠀⇛


           The 204th installment of the 9to5Linux Weekly Roundup is here
           for the week ending on September 8th, 2024.


  14. ⚓ Fastfetch_is_the_Perfect_Replacement_for_Neofetch⠀⇛


           When development on system info tool Neofetch was discontinued1
           earlier this year a slew of forks, alternatives, and upstart
           projects sprung up to fill the void


  15. ⚓ Banana_Pi_BPI-CM5_Pro_–_A_Rockchip_RK3576-powered_Raspberry_Pi_CM4
      alternative_with_up_to_16GB_RAM,_128GB_flash,_a_6_TOPS_NPU⠀⇛


           The company provides support for Android 14, Debian 12 Linux,
           Armbian (Debian and Ubuntu)


  16. ⚓ Best_Free_and_Open_Source_Software⠀⇛


           We only recommend free and open source software here


  17. ⚓ Review:_COSMIC_Desktop_(Alpha)⠀⇛


           My experiment with COSMIC had two distinct phases


  18. ⚓ KDE_Goals_-_A_New_Cycle_Begins⠀⇛


           The KDE community has charted its course for the coming years,
           focusing on three interconnected paths that converge on a
           single point: community


  19. ⚓ MNT_Pocket_Reform:_Linux-Powered_Mini_Laptop_with_Rockchip_RK3588_or
      Amlogic_A311D_CPU_Modules⠀⇛


           As with all MNT products, the Pocket Reform is fully open-
           source


  20. ⚓ NanoPi_R3S_is_a_$30_Router_Board_with_Dual_GbE_and_FriendlyWrt_OS
      Support⠀⇛


           The NanoPi R3S supports various operating systems, including
           FriendlyWrt (based on OpenWrt 21.02), Debian Bookworm Core
           (command-line only)


  21. ⚓ Stable_kernels:_Linux_6.10.9,_Linux_6.6.50,_and_Linux_6.1.109⠀⇛


           I'm announcing the release of the 6.10.9 kernel


  22. ⚓ Linux_6.11-rc7⠀⇛


           it's out now


  23. ⚓ Today_in_Techrights⠀⇛


           Some of the latest articles


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


                         Span from 2024-09-03 to 2024-09-09
      820 /n/2024/09/03/
          Audacity_3_6_2_Audio_Editor_Adds_Legacy_Effects_Section_Fixes_M.shtml


      727 /n/2024/09/05/Barry_Kauler_on_His_Distro_Development_Work.shtml


      727 /n/2024/09/02/
          Mozilla_Firefox_130_Is_Now_Available_for_Download_Here_s_What_s.shtml


      690 /n/2024/09/03/With_Windows_You_Don_t_Own_Your_Computer.shtml


      684 /n/2024/09/02/
          Rhino_Linux_2024_2_horns_in_on_Microsoft_Windows_11.shtml


      681 /n/2024/09/05/
          Debian_based_Q4OS_5_6_arrives_with_a_desktop_profiler_and_Calam.shtml


      677 /n/2024/09/04/today_s_howtos.shtml


      673 /n/2024/08/29/Retiring_from_the_Rust_for_Linux_project.shtml


      671 /n/2024/09/05/Ubuntu_24_10_Default_Wallpaper_Mascot_Revealed.shtml


      671 /n/2024/09/03/
          Firefox_131_Beta_Improves_Translations_Adds_Temporary_Site_Perm.shtml


      654 /n/2024/09/02/Kdenlive_24_08_0_released.shtml


      646 /n/2024/09/04/Tor_Browser_13_5_3_Hiring_for_Web_Standard.shtml


      645 /n/2024/09/05/
          Minimalist_Linux_distro_Peropesis_2_7_comes_with_archive_and_IS.shtml


      607 /n/2024/09/03/
          Samba_4_21_Launches_with_Enhanced_Security_Features.shtml


      599 /n/2024/09/04/Tellico_4_0_Released.shtml


      580 /n/2024/09/07/GNU_Linux_Leftoverss.shtml


      572 /n/2024/09/07/
          KDE_Slimbook_Plasma_VI_Linux_Ultrabook_Launches_with_AMD_Ryzen_.shtml


      570 /n/2024/09/07/Ubuntu_Pig.shtml


      563 /n/2024/09/07/Fedora_Red_Hat_IBM_Leftovers.shtml


      563 /n/2024/09/03/today_s_howtos.shtml


      553 /n/2024/09/07/
          NGINX_Has_Chosen_Proprietary_Entrapment_Microsoft_GitHub.shtml




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⣿⣿⣿⣿⣿⣿⣾⣿⠗⣿⣛⣟⢺⠀⢸⣿⣿⡍⠉⠀⠀⠀⠁⠀⠅⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠈⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣯⣼⣿⣿⣿⣿⣿⡿⣿⣻⡿⢿
⣿⣿⡻⠿⣿⣾⢿⣿⠿⠿⠿⢿⡿⡦⣿⣿⣿⢘⣃⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣷⠸⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣁⠀⠀⠨⡶
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣾⠿⡀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣯⣈⠉⣃⣻⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⠄⢸⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⢿⣿⣿⣿⠋⠈⣠⡷⢨⣤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠙⣴⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⣦⣷⣷⡤⣤⠀⢰⣷⠆⣈⠛⠩⣻⣿⣷⣦⣸⣿⣿⣿⢯⢤⣿⣿⣿⡞⣿⣿⣿⣿⣿⣺⣿⣿⡿⠄⢸⣿⡿⢸⡿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⢸⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⠗⠋⠀⠀⠉⠐⠿⠛⡀⢸⣯⣿⣿⠿⡿⢿⣿⣿⣟⣿⣿⣿⣷⣶⣿⢿⣿⣿⣿⣿⠛⠉⠄⣸⣯⡵⠾⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡿⠿⠀⠀⠀⠀⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢉⣴⣤⣄⠀⠐⣶⠤⡄⢸⣇⡌⣹⡿⠿⠂⢀⣰⢿⣿⡗⣿⣭⣿⣷⣿⣯⣿⡏⠻⣽⣿⣾⠿⠆⠻⡟⣗⢺⡡
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⡆⠀⠀⠃⠠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣟⠛⠛⣶⡦⣉⠀⠐⣾⣿⣿⣿⣯⣯⡆⢸⣿⣾⡿⡟⣻⣯⣿⡟⢸⣿⣿⣯⣾⣿⣛⣋⣴⣤⣶⣿⣟⣀⣤
⠠⠤⠀⠀⠀⠀⠀⠀⠀⠀⣀⢐⣶⡀⠀⠀⠀⢸⣿⣗⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣶⣷⡾⣉⠀⢰⣼⣯⣿⠿⢿⣳⣦⣸⣿⣿⣿⠟⠻⣿⣻⠉⣩⣭⣿⡏⡿⢛⣻⣴⣮⠛⣻⡭⠎⠹⠟
⠐⡒⠀⠀⠐⠀⠀⠀⠀⠀⠀⠈⠯⡇⠀⠀⠀⢸⣿⣿⡄⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠿⠿⠿⠿⠟⠛⠛⡛⢛⢻⣧⡀⠀⠹⡿⢿⣿⣿⠏⠀⠀⢿⣵⣿⣷⢿⣥⣏⢿⠏⠀⠀⠉⠀⠀⠀⠀⠀⢀
⠀⠠⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⣿⣳⠀⠀⠀⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢇⠀⠀⠰⠀⢿⠟⠀⠀⠈⠺⢿⣾⣿⣾⣦⣼⣿⣦⠀⠀⠀⠀⢴⣾⣿⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠾⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣌⠀⣀⠀⠀⠴⠄⠀⠀⢐⡂⣺⣾⣯⣿⣿⣿⣿⣿⡆⠀⠀⠀⢸⣿⣿⡇⠀
⠀⢐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣭⡅⠀⠀⠀⢸⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⣰⣿⣿⡛⠙⢿⣿⣿⣿⣿⣇⠀⠀⠀⠘⣿⣿⣇⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠀⡀⠀⠀⡀⣺⣷⠀⠀⠀⠸⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⣰⣿⣿⠋⣴⣶⣾⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⠀
⠀⠀⠀⢀⠀⢀⠀⠀⡒⢂⠀⠢⠄⢸⢿⡀⠀⠀⠀⣿⣿⠀⠀⠀⠀⢠⣤⡤⠐⠒⠒⠒⠒⠒⠂⠐⠦⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⣿⣿⣿⣿⣿⣿⡿⣡⣾⣿⣿⣿⣿⡿⣿⣿⣿⠆⠀⠀⠀⢸⣿⣷⡄
⠀⠀⢐⣂⠀⠀⠂⠀⠀⠄⠀⠌⢍⠸⣿⡇⠀⠀⠀⢸⣿⠀⠀⠀⠀⠆⠀⠀⠀⠀⠈⠉⠉⠉⠉⠀⠁⠀⠀⠹⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣟⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⣝⡇⠀⠀⠀⠀⢀⣀⣀
⡂⠀⠐⡲⠄⠠⠬⠁⢀⣅⡀⢐⣒⡀⣿⣷⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣦⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⠿⠛⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣤⣤⣤⣀
⣧⠀⠀⣭⣥⠀⣭⣶⠐⣖⡖⢰⣷⡇⢛⣛⡀⠀⠀⠀⣭⣭⣒⣒⡤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠛⠿⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠛⠛⠿⠟⠛⠛
⣿⣂⡀⣿⣿⠦⠿⠿⠇⠿⠿⠀⠛⠓⠘⠉⠁⠀⠀⠀⢸⣭⣭⣭⣽⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣷⡆⠀⣤⣤⣀⣉⡉⠙⠉⠉⠉⠉⣀⣀⣀⣀⣀⡀⠀⣀⣀⣤⣤⣤⡤⣄⣠⣤⣀⡀⠀⠀⠀⠀⠀⠀
⣀⣀⣒⣂⣀⠀⠀⠀⠤⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠿⠁⣼⣿⣿⣿⣿⣿⠁⠈⣻⣿⣿⣿⣿⣿⣿⣿⠇⢘⣿⣿⣿⣿⣿⢿⡿⠛⠛⢛⠛⠀⠀⠀⣶⣶⣶
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠿⠋⣠⣾⣿⣿⣯⣽⣟⣻⡧⢼⣿⣿⣿⣿⣿⣿⣿⡿⠀⣾⣿⣿⣿⣭⣷⣶⣦⣶⣯⣿⣿⡄⠀⠀⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣯⣭⣟⣛⣿⠧⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠿⠿⠿⢿⣿⢿⣿⣛⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣭⣽⣛⣻⠿⠿⣿⣿⣿⣿⡇⠀⠀⣾⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⣴⣾⡿⣿⡿⠯⢭⣙⡛⠀⠀⣀⠀⠀⡤⠄⠀⠀⠀⠀⠀⠀⠀⠈⠸⡙⠛⠉⠁⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣭⣭⣛⣒⠲⠿⢿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡒⠶⢭⣍⡳⠀⠀⠀⠀⠉⠁⠒⠢⢤⣤⣥⣿⣃⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠢⠬⢍⣙⣒⣛⣒⣀⣤⣤⣤⣤⣴⣶⣶⣾⣿⣿⣿⣿⣿⣷⣶⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠟⠛⠛⣛⣋⣉⣽⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 3008

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

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⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Quitting Academia When Its IT Systems Are
Dominated by Clowns Who Outsource⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Sep 10, 2024


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


ABOUT 4 weeks ago Dr._Andy_Farnell_published_"Clown_Computing". He wrote it on
his own with some input/feedback/advice from others. We reprinted with
permission from him and he said we had inspired his piece.


Dr. Farnell quit his job for very similar reasons to the ones that_led_to_my
resignation_in_2022. I know others who did the same, usually for the same or
very similar reasons.


The piece from Dr. Farnell is packed with a lot of seemingly minor but very
important details, for instance he says "Volkswagen, Boeing and Fujitsu lie
about their products" (proprietary) and this results in actual deaths.


"A common theme not addressed in the post," an associate noted, "maybe on
purpose, is the decommodification of Linux or tivoization of sorts that
Microsoft had dreamed about and still aims for. Clown computing is central to
that because it locks the OS deep under a layer of ever-changing proprietary
cruft rather than continued access via commodity tools such as SSH and the
normal Core Utilities."


"I wonder if the educator-turned-clown who was discarded in petty revenge in
"The Blue Angel" is relevant in Andy's post." "Der blaue Engel" (German)


I'm very eager to revisit the subject in the coming days because, like Andy, I
used to work in a university (2001-2012). Over time things changed and I
observed with concern what was happening. Sometimes I_wrote_about_that. It
seems like a common trajectory. █




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

                    ䷩ 𝚕𝚒𝚗𝚎 3787

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

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⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Red Hat is Suing to Protect From Patent
Trolls⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Sep 10, 2024,
updated Sep 10, 2024


Why doesn't Red Hat (IBM) also lobby to eliminate all software patents once and
for all*?


As noted_here_the_other_day:


 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Red_Hat_files_suit_after_tech_firm_targets_IBM,_Google_and
                                   Amazon⦈_


At least, unlike Novell, Red Hat says "no" and fights back:


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


But it does not tackle the core, underlying issue. █


____


* The U.S. Patent and Trademark Office (USPTO) is currently run by a
Microsofter, so the Office mostly ignores 35 U.S.C. § 101 and grants loads of
illegal (and likely invalid) software patents.




⣿⣿⡿⠿⡿⢿⠛⡿⠿⠿⠿⢿⠟⢛⡿⢿⢿⡿⠿⠿⠻⢿⡿⡟⠻⠿⠿⢿⠿⡿⡿⠟⠿⡿⠛⠿⠿⠿⣿⠿⠿⠿⡿⠿⢿⢿⢿⡿⡿⢿⢿⠿⣿⡿⠿⡿⡿⢿⠿⣻⠿⣿⢿⠿⣿⠛⣿⢿⠿⠿⡿⢿⠿⡿⡿⢿⣿⣿
⣿⣿⣧⣤⣤⣤⣥⣧⣦⣧⣼⣼⣿⣼⣧⣤⣮⣧⣤⣥⣼⣼⣵⣤⣧⣧⣼⣾⣤⣤⣤⣤⣧⣧⣧⣤⣿⣼⣿⣬⣤⣧⣨⣠⣼⣤⣮⣧⣧⣬⣤⣦⣹⣧⣤⣬⣤⣔⣄⣧⣤⣯⣦⣼⣤⣥⣧⣦⣧⣼⣧⣼⣬⣬⣤⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⡷⢶⡶⠶⠶⠶⣶⣶⣶⣶⣶⣾⣶⣿⣾⣾⣶⣶⣾⣾⣶⣶⣶⣾⣶⣾⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢻⣿⣿⢿⣿⣿⣿⡿⣿⣿⣿⣿⣿⡿⣿⣿⡿⣿⠿⣿⣿⣿⠿⣿⡿⡿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠘⣿⣿⠒⢲⢲⠒⠛⣶⣶⣶⣶⣶⣷⣶⣶⣷⣶⣶⣶⣶⣾⣾⣾⣴⣶⣶⣶⣶⣾⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣤⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⢿⢿⣿⣿⣿⣿⢿⣿⣿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣶⣶⣶⣶⣶⣶⣾⣶⣶⣶⣿⣷⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⠿⠿⠿⠿⠿⠿⠿⠿⡿⠿⠿⠿⠿⢿⠿⠿⢿⠿⠿⠿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⡿⠿⠿⢿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⡿⠟⠿⡛⠟⠿⡶⠿⠿⠿⠿⠿⢿⡿⠿⡿⠿⠻⢿⠿⡞⠿⢷⠾⢿⠿⢿⡻⠿⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⡿⠋⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣭⣿⣭⣿⣭⣭⣭⣭⣯⣯⣭⣧⣥⣥⣡⣥⣭⣭⣼⣭⣭⣯⣯⣭⣭⣭⣼⣭⣭⣥⣽⣽⣭⣽⡤⢉⣤⣦⣭⣽⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣤⣤⣤⣤⣦⣤⣤⣧⣤⣤⣦⣤⣶⣤⣤⣤⣤⣤⣴⣼⣤⣤⣤⣼⣤⣤⣤⣤⣧⣤⣤⡤⡤⢃⣤⣤⣤⣤⣤⣬⣿⣿⣿⣿⠿⠟⢋⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⢛⠛⡛⠛⢛⠛⢻⠟⠛⠛⠛⢻⠛⢛⡛⠛⡟⠛⠛⡛⠛⡟⢛⠛⣛⣛⢻⠛⡛⡟⠛⠀⢀⠛⡟⠛⠛⠛⢻⡿⠟⢛⣉⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣛⣛⣛⡟⣿⣛⣛⣛⣛⣋⣛⣹⡛⣛⣟⣛⣙⡟⣛⣙⣫⣿⣛⣻⣛⣯⢛⣛⣉⣊⣟⣛⣙⡻⠙⠛⢉⣡⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⣍⣋⣋⣉⣉⣉⣉⣛⣉⣉⣉⣉⣉⣉⣉⣏⣉⣉⣏⣉⣉⣉⣋⣉⣉⣉⣋⣉⣛⣉⠙⠋⣉⣁⣐⣎⣉⣋⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣩⣍⣩⣍⣿⣽⣭⣋⣉⣉⣿⣭⣏⣽⣭⣩⣏⣭⣝⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠡⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⡿⠿⣿⠿⢿⠿⢿⠿⠿⠿⢿⡿⠿⠿⠿⠿⠿⡿⠿⠿⢿⠷⠿⠿⠿⡿⢿⠿⠿⢿⡿⡿⠿⢿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠻⠟⢟⠿⠻⠻⠾⠟⠻⠿⠿⠿⡿⠿⠿⠿⠿⢾⠿⠻⠿⠿⡿⡿⠛⠷⠻⢿⠿⡿⠿⠿⣿⠿⡿⠿⠿⠿⠿⠿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⢻⠛⠛⠛⠛⠛⠛⢻⠛⠛⠛⢛⠛⠛⢻⠛⢻⠛⠛⠛⠛⡛⠛⠛⠛⠻⠛⠻⠛⠛⠛⠛⠟⠛⠛⠛⠛⠛⠟⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣛⣛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⢿⡿⠿⣿⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡶⢶⠾⡶⢶⡶⠾⠶⠶⠶⠾⠶⢶⡾⣶⡵⢶⠷⢶⢾⢷⠶⣶⣶⣾⣶⣵⣶⣾⣾⣦⣷⣾⣾⣶⣶⣾⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣶⣶⣶⣷⣶⣶⣶⣶⣶⣶⣶⣷⣾⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣽⣿⣿⣿⣿⣴⡐⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠉⠋⠁⠉⠉⠈⠉⠐⠀⣿⣿⣿⣿⣿⡅⡄⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡿⣿⣿⣿⣿⠿⠟⠁⠉⠙⠉
⣷⣄⣷⡀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⣿⣆⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣼⣿⣿⣶⣾⣿⣷⣤⠀⠀
⣿⣿⣿⣿⣦⡀⠶⢤⠀⣿⣿⣿⣿⣿⡇⣿⣿⣆⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢶
⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⡇⣿⣿⣿⣆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⢶⠷⠾⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠈⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⡿⠛⣾⣿⠀⠀⢸⣿⣿⣿⣿⣿⣼⣿⠀⢹⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⠿⠛⠛⢿
⣿⡿⣿⣿⣿⣿⡿⣆⣦⣧⢵⣮⣶⣾⢗⣾⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣼⠟⣷⣽⣿⣿⡟⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣦⡈⣿⣿⣿⣿⣿⣿⣿⡇⣀⡀⠀⢀⣀⠀⠼⣿⣿⣿⣿⣿⣿⣆⠜⠁⣤⠤⢶⠀⢼
⠀⢰⠟⣻⣿⣟⡃⣰⣿⣿⣄⠾⣿⣷⠄⣤⣿⣿⣌⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠶⢯⣿⣶⣾⣿⣿⣧⣴⣤⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣟⣸⣿⣿⣿⣿⣿⣶⣷⣿⣿⣿⣿⣆⢀⣭⣶⣿⣿⣾
⣿⣿⣿⣿⣿⣝⣳⣿⢹⣿⢻⠀⢻⣿⢰⣿⣿⣿⣿⢸⢸⣿⣿⣿⣿⣿⣿⣿⣿⠂⣸⢻⣿⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣾⡟⣿⢠⣯⣭⣸⣿⣿⣿⣿⣾⢸⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⠘⣿⣷⣥⡿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣽⣿⣿⣭⡉⠙⡏⣿⣿⣧⡽⢸⣿⣇⢿⣿⣿⣿⣿⢛⣸⣿⢿⣿⣿⣿⣿⣿⣿⢿⣿⣶⡾⢻⣿⣿⣮⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣷⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⢸⣿⠈⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣮⣿⣿⣟⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣝⣿⠰⠿⠿⠻⢹⣿⣿⣿⣿⢸⠘⢻⡄⠙⣿⣿⣿⣛⣋⢹⣿⣿⣿⣿⣿⠉⢨⣭⣭⣽⣿⣾⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠋⢸⣿⣿⣿⣿⣿⣿⣿⣧⡄⣤⢀⡄⣌⢉⠉⠉⠉⠀⠀⠘⠀⠀⠻⣻⣏⠻⠿⢿⣿⠏⠍⠟⠻⠀⢸⢻⡟⠿⠟⢻⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⣼⣿⡟⣿⣿⣿⣿⣿⣿⣢⣥⣤⣧⣧⣼⣅⡸⢀⣀⠀⠀⠀⠀⠀⠀⠉⠛⢻⡿⣿⠶⢦⣦⡄⠀⢸⣴⣤⡅⠀⣰⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⣿⣘⣛⣄⡇⠀⢸⣽⢩⠃⠀⠀⠀⢻⡟⣿⣿⣿⡿⣿⠿⢿⣿⣿⣿⣿⡝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢻⡏⣾⣿⣿⣿⣿⣿⠘⣿⣿⣿⣿⣿⣿⣿⣿⣯⠁⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣽⣿⣿⣿⡇⣀⣸⣿⣿⠁⠀⠀⢀⣾⣷⣿⣿⣿⣧⣽⣄⣹⣟⣛⣛⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢸⢧⣿⣿⣿⣿⣿⣿⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣷⣐⠒⠒⠒⠒⠒⠒⣪⠍⠙⠛⠛⠛⠛⠓⠛⣿⣷⣄⠀⠒⠒⠒⣿⣿⣿⣿⣿⣿⣿⡗⠒⠒⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠈⢸⣿⣿⣿⣿⣿⣿⣆⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣉⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣆⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠁⠈⠉⠉⠈⠉⠉⠈⠀⠁⠈⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠈⠉⠉⠉⠉⠉⠁⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣽⣿⣿⢩⣯⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡯⣾⢿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⣶⣿⣿⣿⢻⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠉⠁⠉⠉⠉⠉⠉⠉⠉⠈⠁⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⡿⣾⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣫⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣤⣤⣤⣤⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢸⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠠⠀⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢸⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⣛⠋⠛⠉⠋⣉⠉⣡⣶⣶⣶⣶⣶⣾⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠛⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⠛⢿⢿⣿⣿⣿⣿⡿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣷⣟⣿⣿⣿⡿⠉⠀⢰⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠒⠊⠙⠛⠛⡽⢛⡻⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⣄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠇⣴⢋⡛⣿⣿⡿⠉⠀⠀⠀⠀⠀⠀⢿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⢠⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⠸⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⢸⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠉⠉⠙⠋⠉⠉⠉⠙⠋⠉⠉⠙⠙⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 3924

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/09/10/Slow_But_Ongoing_Mass_Layoffs_at_EPO_Estimates_That_Nearly_Half.shtml
    Gemini version at https://techrights.org/n/2024/09/10/Slow_But_Ongoing_Mass_Layoffs_at_EPO_Estimates_That_Nearly_Half.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Slow But Ongoing Mass Layoffs at EPO,
Estimates That Nearly Half of the FOs Will be Made Redundant
Soon⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Sep 10, 2024,
updated Sep 10, 2024


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Restructuring_of_formalities_officers_teams_in_2025⦈_


When you cease to care about validity and quality of patents you're granting
why bother with humans at_all?


  🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇You're_sacked._Love_from_Steve._Europe's_best_employer,
                              according_to_IAM.⦈_


THE EPO's FOs (Formality/ies Officers) have long_been_at_risk. António_Campinos
does not care about formalities. He just needs to pretend that he does.


Circulated among EPO staff today is the following alarming message (albeit not
surprising to some) from the Central Staff Committee, i.e. elected staff
representation:


     § Restructuring of formalities officers teams in 2025⠀➾


     Dear Colleagues, dear All sites,


     A restructuring of the formalities officers (FO) teams announced in
     April this year is scheduled to take effect in January 2025. Under
     the new structure, the current 37 FO teams will be consolidated into
     23 teams. As a result, at least 14 team managers (TMs) may be
     rendered redundant.


     However, the actual number of affected TMs could be even higher, as
     some teams currently have up to 4 TMs. This data could not be
     confirmed as the FOs teams overview page is currently reviewed and
     inaccessible.


     The TMs and team members report having only limited knowledge of the
     impending changes. FO team managers have been informed that
     additional details on the restructuring will be shared throughout
     September 2024, with the final structure to be officially announced
     before November 2024.
     However, there is significant concern about the limited information
     provided thus far and the short time available to prepare and adapt.


     The instability and uncertainty caused by repetitive restructuring
     and changes in managerial styles present psychosocial risks,
     including emotional exhaustion, disrupted team dynamics, reduced
     cohesion, decreased job satisfaction, and communication challenges.
     Despite the CSC’s publication in May 2024, the social dialogue
     concerning job groups 5 and 6 has not yet resumed.


     The CSC is concerned about the stress and potential psychosocial
     risks this situation poses for staff and TMs, particularly given the
     limited timeframe for preparation and adaptation.


     Read more in our open letter to Mr Rowan (VP1).


     Sincerely yours,


     The Central Staff Committee - CSC


The open latter is dated 5 days ago, i.e. last Thursday, and here it is as
plain text, GemText, and HTML (depending on how you're reading this):


     European Patent Office
     80298 Munich
     Germany


     Central Staff Committee
     Comité central du personnel
     Zentraler Personalausschuss


     Tel. +49 -89- 2399 - 2120
     +49 -170- 2251 - 7271


     centralSTCOM@epo.org


     Reference: sc24055cl


     Date: 05.09.2024


     European Patent Office | 80298 MUNICH | GERMANY


     Mr Steven Rowan
     Vice President of the EPO
     The Hague Main – Room M26A20


     § Open letter⠀➾


     § Upcoming formalities officers team restructuring in January 2025⠀➾


     Dear VP1, dear Steve,


     According to staff, the restructuring of the formalities officer (FO)
     teams announced in April this year is scheduled to take effect in
     January 2025. Under the new structure, the current 37 FO teams will
     be consolidated into 23 teams. As a result, at least 14 team managers
     (TMs) may be rendered redundant.


     However, the actual number of affected TMs could be even higher, as
     some teams currently have up to 4 TMs. This data could not be
     confirmed as the FOs teams overview page is currently reviewed and
     inaccessible.


     The TMs and team members report having only limited knowledge of the
     impending changes. FO team managers have been informed that
     additional details on the restructuring will be shared throughout
     September 2024, with the final structure to be officially announced
     before November 2024.


     However, there is significant concern about the limited information
     provided thus far and the short time available to prepare and adapt.


     The instability and uncertainty caused by repetitive restructuring
     and changes in managerial styles present psychosocial risks,
     including emotional exhaustion, disrupted team dynamics, reduced
     cohesion, decreased job satisfaction, and communication challenges.
     Despite the CSC’s publication in May 2024, the social dialogue
     concerning job groups 5 and 6 has not yet resumed.


     =====================================================================
     The CSC is concerned about the stress and potential psychosocial
     risks this situation poses for staff and TMs, particularly given the
     limited timeframe for preparation and adaptation.


     In light of these developments, we urgently seek clarification on the
     following points:


     • What support will be offered to team members to maintain team
     process continuity and alleviate the negative impact?


     • What solutions will be available for team members encountering
     difficulties adapting to this new change?


     • How will situations be managed when colleagues who were transferred
     out of certain teams need to return to their original team or team
     manager?


     • How will the TMs be selected, and which criteria apply?


     • What support will be provided to TMs who lose their managerial
     tasks and teams?


     • Which alternative roles/tasks will be offered to displaced TMs and
     will they be able to choose their new roles?


     • Will FO teams be assigned TMs from different PoEs?


     Given the short timeframe, we are looking forward to your prompt
     response.


     Sincerely yours,


     Derek Kelly
     Chairman of the Central Staff Committee


According to a recent publication, the number of patent applications processed
at the EPO (and/or patents granted) nearly doubled in the same period staff
headcount decreased by about 10%. That says a lot about what the EPO really
aims for and how. █




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

                    ䷩ 𝚕𝚒𝚗𝚎 4222

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/09/10/Teaser_EPO_Tightening_Its_Belt.shtml
    Gemini version at https://techrights.org/n/2024/09/10/Teaser_EPO_Tightening_Its_Belt.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ [Teaser] EPO Tightening Its
Belt⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Sep 10, 2024


The EPO faces potential_boycotts_from_large_applicants; who didn't see this
coming?


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




⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡇⠀⠀⠀⠀⠀⢠⣄⡐⢦⡀⠀⠀⠀⠀⠄⠀⠀⠀⠰⠦⠀⠄⠄⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣌⠻⣆⢻⡄⠀⠀⠀⠖⠆⠰⠐⠂⠖⠒⠆⠀⠀⠀⠀⠸⢿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡇⠀⠀⠀⠀⣠⢤⡌⣷⢹⡎⣷⠀⠀⠀⡄⠀⠠⠀⠀⡀⠀⠀⠀⠀⠀⠀⢠⣭⣤⠤⠄⠀⠞⠟⠻⠿⠿⠿⠿⠿⢿⢿⠿⡏⣟⣿⣞⣙⣟⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡇⠀⠀⠀⢸⠃⣰⢇⡿⣸⢇⡟⠀⠀⠀⠖⠄⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡽⡛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢕⠉⠉⠉⠉⠛⠙⠛⠛⠛⣿⠟⠛⠻⡿⠿⢿⡿⠿⢿⡿⢿⡿⣿⣿⣿
⣿⣿⣿⡇⠀⠀⣀⡘⢓⣫⡾⣡⡟⣼⠃⠀⠀⠀⡀⡀⠀⠀⠀⠀⠀⠀⡀⠀⡀⠀⠀⣴⠄⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⢲⣿⠀⠀⢀⠁⠀⠈⠀⠀⠀⠀⠀⠀⣼⣿⣿
⣿⣿⣿⡇⠀⢠⣌⣉⣉⣥⠾⠋⠀⠀⠀⠀⠀⠀⣨⠀⡀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠍⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠸⡟⠁⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠘⣿⣿⣿
⣿⣿⣿⣇⣀⣀⣀⣉⣁⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠘⢊⣮⠾⡍⢻⡱⡀⠀⢂⠥⠀⠊⢂⣆⠀⣰⡦⡄⠠⡄⠀⠠⢤⡆⣠⣤⣄⣤⣀⣄⣿⣤⣀⣤⣠⣆⣀⣀⣀⣀⣀⣀⢀⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣠⣾⣿⣾⣶⡄⠀⠐⠜⢩⠡⡁⢳⠵⡀⡀⠁⡀⠂⠡⡈⣆⠀⡁⡝⢇⠧⢂⣴⣿⣾⣄⠗⣶⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢀⣾⣿⣿⣿⣿⡗⠊⠀⠀⠀⡨⡡⣙⢎⣀⠘⠴⠀⡀⡠⠀⠐⡈⠄⠁⡀⢸⠁⡉⠋⠀⢈⢕⢼⡟⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠂⠀⢾⣿⣿⣟⢋⠙⠋⠀⠀⠀⠀⢖⡡⢳⣯⡖⣃⡡⡉⠐⡈⠌⢄⢢⢨⣄⠂⡈⠈⠉⠁⠙⠆⠐⣗⢌⠻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⡀⠀⠉⠋⠁⠀⠀⠀⠀⠀⠀⠀⠈⢺⠵⢀⢢⣶⡃⣢⠈⡘⠧⠀⠇⢀⠇⠀⠀⠉⠉⠐⠂⠀⢀⠓⡗⠓⠻⢶⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⣀⠽⢀⢃⢗⢳⣊⢐⡘⡄⠀⢤⠅⠀⠀⠀⠀⠀⠀⠀⡈⠀⠀⠈⡲⠰⣙⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⣿⣿⣽⡻⠿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢋⠌⢂⢊⢆⠔⠆⠣⠊⠀⠈⡏⠀⠀⠀⠀⠀⠀⠐⠀⠀⠐⡱⠝⠀⢠⠏⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠀⠉⠉⠉⠂⠀⠀⠘⠛⠓⠿⢛⣵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⠀⡎⢏⣄⣐⠁⠄⠀⠀⢑⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠈⠀⠀⠌⢐⢀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣟⡟⠉⠛⢙⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡈⠀⠀⠀⢸⣿⠃⠀⠀⠀⠀⠰⡂⠄⡬⢵⣿⠀⢨⡤⠀⠀⠘⠂⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠐⢀⠍⡻⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠟⠛⢁⣴⣿⣿⠿⣿⣧⣄⣀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠁⢂⡠⠌⠨⢐⢕⢀⣈⠀⠀⠀⠉⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠆⠎⡻⢿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠛⠉⢠⣿⣿⣿⣿⣶⣿⡟⢿⠛⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣦⡀⠀⠀⠀⠕⡣⠓⠬⣳⠁⠀⠑⠀⠀⢀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠘⢝⣿⣿⣿⣿⣿⣿
⣿⢿⣿⡿⠿⠑⠀⠀⣿⣿⡟⣿⣿⣿⡿⠿⠏⠀⠀⠀⣿⣿⠝⢀⣾⣿⣿⢿⣿⣿⣿⣿⣀⣿⠀⠀⠐⡗⠙⢊⠈⠚⠁⠀⠀⢀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣻⣿⣿⣿⣿⣿
⣿⣿⣯⡁⠀⠀⠀⠀⢿⣟⣖⠉⠙⠈⠀⠀⠀⠀⠀⠀⠙⠉⣴⠈⠀⣿⣿⠤⣿⣿⣿⠿⣿⣿⠀⠀⢀⠔⠐⠀⠀⠀⠀⠀⠀⠈⣠⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣶⣶⣶⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⢃⢰⡥⠻⣿⣿⣻⣿⣿⣿⡿⠀⠀⠀⠀⠀⣀⣤⣤⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⣀⣀⣀⣀⣀⣀⣀⠀⣀⠈⠀⠀⠀⠬⠛⠉⠙⠓⣸⣿⣤⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 4268

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

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⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Terms of Service (TOS) Under Scrutiny -
Part XVIII - In Conclusion⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Sep 10, 2024


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Coronavirus_Covid-19_Warning_Notice⦈_


YESTERDAY there was a "Personal_Perspective", which basically boiled down to,
minimise TOS signing (digitally pressing "OK" or something similar). It's
nearly impossible for anyone in 2024 not to sign any TOS/equivalent, unless one
moves to the jungle and has no power/water supplied by some company. However,
minimisation is both feasible and worthwhile. There are toxic elements in every
food we eat (not poisons, just unhealthy components/ingredients), but we still
need to eat something.


Last month, for the first time ever, we had to use "Zoom" (because we filed
lawsuits [1, 2] and needed to speak to the barrister). We only used the Web
interface and had to press "OK" on some thing. The Web version does_not_collect
voiceprints. Similarly, when booking a flight we need to accept some terms (not
the same when you book a train ticket at the station, which can be done
anonymously and with cash). It's just impossible to live in a complete vacuum,
but if we could avoid stuff like Zoom until 2024, then maybe it's possible to
avoid most of these things. The less, the merrier.


The term TOS should be a warning sign, a turn-off, even cause for deterrence.
If someone asks you to sign or agree to one, then be suspicious of the motives.
Usually the aim it to proactively thwart potential lawsuits by you, or even
participation in class action, protest etc.


Many activities can be done offline without having to sign anything. For
instance, you can shop offline, travel without booking anything, meet a person
at a coffee shop/restaurant without signing anything, work_out_without_"apps"
or_gadgets and so on. Making life simpler does not mean adding more tech, which
typically makes a false promise of making life simpler when in practice it
means more trips to a repair store, anxiety over "low battery" etc.


To recall how this series came about, go back to early parts; recall the
overview, Forced_Arbitration_in_TOS (taking away your rights, with your
"consent"), lack_of_clarity_in_TOS, censorship, and so on.


TOS is almost always a bad thing. It's something to be avoided if at all
possible. █




⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⢨⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠂⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣤⣤⡤⣴⢶⠶⠶⠒⠒⠒⠚⠛⠋⠉⠉⠋⠙⠛⢻⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠘⠛⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⡀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡆⡀⠁⠀⠀⠘⠄⠀⢤⣠⣀⣸⣿⣿⣿⣿⣿⣿
⠀⠀⢖⣒⣒⣒⣒⣒⣊⣩⣭⣭⣭⣭⣭⣭⣭⠿⠶⠶⣶⠇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣉⣉⣉⣉⡁⡀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉
⠀⠀⢸⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡜⡼⠗⣟⡆⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣯⣶⣴⣶⣾⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣤⣭⣭⣥⣤⣤⡄⠄⠄⠀⠠⠠⠤⠀⠶⣿⣿⣿⣿⣿⣿⡏⠀⠀
⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡿⠶⠖⠆⠌⠼⠻⠗⠃⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀
⠀⠀⡿⣿⣿⣿⣿⣿⣛⣛⣟⣛⣛⣍⣝⣝⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣷⣽⢭⢽⠭⠽⢶⠶⢼⠶⠶⢶⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣒⣒⣒⣒⣓⣊⣀⣅⣀⣀⣄⣄⡀⣾⣽⣿⣿⣿⣿⣿⠀⠀⠀
⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠀⠀⢸⣿⣿⣿⣿⣟⣚⣟⣛⣻⣓⣺⣛⣛⣯⣟⣻⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⡿⠯⠽⠭⠭⠭⠭⠭⠭⠅⠄⠀⠀⠐⠀⢒⣒⣒⣾⣿⣿⣿⠀⠀⠀
⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀⢸⣿⣿⣿⣿⢟⢿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣭⣭⣽⣭⣭⣭⣭⣭⣥⣼⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀
⠀⠀⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀⢸⣿⣿⣿⣼⣬⣼⣤⣴⣦⣿⣶⣷⣧⣴⣶⣶⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣛⣛⣙⣻⣉⣉⣹⣉⣹⠉⣈⣈⣁⣈⣁⠈⣉⣹⣿⣿⣿⣿⠀⠀⠀
⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀⢸⣿⣿⣟⣟⣿⣿⣿⣿⣿⣿⣿⣟⣟⣻⣿⣟⣟⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣭⣭⣭⣬⣤⣧⣤⣴⣦⣤⣤⣤⣤⣴⣤⣾⣿⣿⣿⣿⣿⠀⠀⠀
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⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠀⠀⢸⣿⣿⡗⢪⢛⣛⡛⣿⣛⣿⡛⢿⡏⢛⠍⡟⣛⣛⠻⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⡥⣾⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀
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                    ䷩ 𝚕𝚒𝚗𝚎 4351

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/09/10/The_Peril_of_the_Electronic_Frontier_Foundation_EFF_Illuminates.shtml
    Gemini version at https://techrights.org/n/2024/09/10/The_Peril_of_the_Electronic_Frontier_Foundation_EFF_Illuminates.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ The Peril of the Electronic Frontier
Foundation (EFF) Illuminates the Dangers of Founders Leaving or Being Forced
Out⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Sep 10, 2024,
updated Sep 10, 2024


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇John_Gilmore,_John_Perry_Barlow_and_Mitch_Kapor,_founders_of
the_Electronic_Frontier_Foundation⦈_


SOME TIME next year we'll have some stories about the EFF.


The founders of the EFF are no longer involved or very barely involved (one
died and another joined the Board of the FSF [1, 2]), so it's hardly surprising
that the mission changed. We've seen the same in "FSFE" and "OSI"; the "Linux"_
(not!)_Foundation deteriorates all the time. They optimise for money at their
mission's expense. This means they're willing to sell out to corporations and
radicals that fervently work against their mission.


Generally speaking, there's a good reason to be suspicious of organisations
whose founders are no longer involved. Here in the UK, there's this thing
called O.R.G. - an organisation originally meant to emulate the EFF but is
nowadays run by immigration lawyers and people who advocate mass immigration,
even encouraging undocumented immigration. It's basically following the
footsteps of SPLC, Greta (XR), and Green Party UK. Whatever you may think they
stand for, you risk being fixated on what they originally were and perhaps what
their Web sites still say but not what they now stand for.


"Apropos the upcoming EFF article," an associate has said, "Notice_the_outreach
efforts,_which_have_now_dried_up."


"The_Woz_helped_found_it," the added, and "Wikimedia Foundation trustees vote
closes next week and the preliminary results will be Oct 9, a long way out from
now." █


Image licence: JD_Lasica_from_Pleasanton,_CA,_US, CC_BY_2.0, via Wikimedia
Commons




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                    ䷩ 𝚕𝚒𝚗𝚎 4433

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/09/10/Transcript_of_Latest_Public_Talk_by_Dr_Richard_M_Stallman_RMS_D.shtml
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⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Transcript of Latest Public Talk by Dr.
Richard M. Stallman (RMS), Delivered Last Month at Web3 Summit 2024
Berlin⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Sep 10, 2024


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇RMS⦈_


Summary and video: [Video]_Richard_Stallman's_New_Talk_in_Germany_Covers_What
Free_Software_Means,_Why_LLMs_are_"Bullshit",_and_Lots_More_(Web3_Summit_2024
Berlin)


Video only (WebM): Closing_Keynote_Day_3_-_Dr._Richard_Stallman_-_Web3_Summit
2024_Berlin


Click below to play:


 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Closing_Keynote_Day_3_-_Dr._Richard_Stallman_-_Web3_Summit
                                 2024_Berlin⦈_


Full transcript, including questions and answers (Closing Keynote Day 3 - Dr.
Richard Stallman - Web3 Summit 2024 Berlin)


     RMS: I'd like to point out that Free Software is a morally stronger
     idea and Open Source was an attempt later to co-opt the ... work of
     the community and de-politicize the philosophy. So that's why I have
     never supported Open Source in any way. I still support the Free
     Software Movement, that software should respect users' freedom. So,
     first of all, I'd like to say more about the difference between Free
     Software and open source because it's a topic of great confusion. I
     founded the Free Software movement in 1983 with the announcement. The
     term Open


     [01:00]


     Source was coined fourteen years later in 1998 when Free Software was
     becoming widely used and starting to be something people knew about.
     But not everyone who worked on or used or promoted Free Software
     agreed with the philosophy of freedom behind it. And the people who
     didn't agree wanted to get out of connection with it by and many of
     them were working for businesses or with businesses that didn't care
     about freedom at all. So, they found a new term, Open Source, which
     they defined differently but it overlapped a lot. Most Free programs
     are Open Source. At the time it seemed all Free programs were open
     source, and most open source


     [02:00]


     programs were Free. So, it is easy to get confused and think of these
     two as identical, but they are not. But the biggest difference is
     that the term Open Source has never had any implications about right
     and wrong. It was, that idea was launched that way by people who
     didn't see it as a matter of right and wrong. So that's why I decided
     I would not start using that term. They asked me to and I said, "no".
     Because Freedom, in my view, is what it's all about and I want the
     idea of Freedom to reach everybody who comes in contact with it. So
     what this means to you is that you have a choice. If you talk about
     Free/Libre software you will be saying I'm talking about Freedom.
     Freedom is what this is about.


     [03:00]


     And if you use that term consistently you will spread that message.
     If you use the term Open Source you'll spread a different message.
     Well, what you say is up to you. But if you care about Freedom,
     please find opportunities to show that you care because we are
     competing with a different idea which has a lot of businesses
     promoting it. In order for use to keep the idea of Free Software
     alive, it helps if we work at it. So that's why you'll never hear me
     use the term Open Source. I mention it in order to criticize it, but
     I don't describe software that way. Now, there's a new confusion
     which has sprung up in the last couple of


     [04:00]


     years. There are various kinds of artificial intelligence programs
     that within specific domains can understand a problem and can
     understand how to get the correct answer for that kind of problem at
     least usually as often as humans can do it or more but one kind of
     program which is not intelligence is the Large Language Models
     because intelligence implies understanding and those programs
     generate output but they have no idea what the output means. They're
     thinking of word usage only. And so we shouldn't be surprised that
     they generate statements that are false


     [05:00]


     very often or even statements that are almost nonsensical. They're
     grammatical but they don't mean anything. They present imaginary
     fictitious events as if they were real, and yet they are being called
     artificial intelligence and most people on seeing that assume that
     the output of these programs can be believed. But it can't be. They
     have no idea of what's true. They don't understand the statements
     they generate an so we shouldn't call them A I and I never do.
     Sometimes I call them bullshit generators. Bullshit is defined as
     generating statements, producing statements with indifference to
     their truth or falsehood.


     [06:00]


     Of course if you can't understand truth and falsehood, you can't be
     anything but indifferent to it. And that's what those programs are
     like. There are also humans that output bullshit who are presumably
     capable of understanding whether they're true or not but don't care.
     For instance, Trump. [applause]


     But I suppose as a human being, he would be capable of caring about
     the truth of his statements if it ever occurred to him to care. You
     know Trump has no heart but he still needs a defibrillator. But a
     program that can't have any idea of what is true certainly can't
     care. So we know that those bullshit


     [07:00]


     generators are not intelligence they can't understand. So, moving on
     from that, one thing we can see is that a web site should never use a
     bullshit generator to do any job that depends on accuracy or validity
     or truth, because it's going to go wrong and more often than you
     might think. So it's a very bad thing to change a web site to be so-
     called smarter by having it pass what you tell it through a bullshit
     generator or having it pass what other people have published through
     a bullshit generator and giving you a summary that might be total
     nonsense.


     [08:00]


     It'll be written in good English though. Now when you are doing your
     computing you must not entrust that to somebody else's server because
     users including you should have control over their own computing but
     you can never have control over what somebody else's server does
     because somebody else installs software in that computer and
     configures it and thus decides what computing it is going to do. So
     it may be useful to talk with somebody else's server as a way of
     communicating


     [09:00]


     with her with somebody else. Servers are fine for that. If I want to
     publish something that I say and you want to see what I said
     connecting to my server stallman.org is a fine way to do it. And
     running a server for that purpose is a fine way of conveying the
     information to those who are interested. The GNU Project has its own
     things to say different to my personal views so it has a different
     server gnu.org and again it is fine for the GNU Project to use a
     server as a way of enabling you to see what the GNU Project has to
     say if you're interested. And the Free Software Foundation has
     another server fsf.org which gives other information about a related
     part of the issue of Free


     [10:00]


     Software. But when it comes to doing your computer you shouldn't
     entrust anyone else's server, not stallman.org, not gnu.org, not
     fsf.org, not google.com, or apple.com, or basically any one else that
     sets up a server that is not you. And that person or organization's
     server is not your computer, it's not under your control, and so you
     shouldn't depend on that server to do your computing. Which means
     that a very wide spread architecture that is quite commonly
     recommended by the people who don't think about this issue is a bad
     way to do computing.


     [11:00]


     It might be perfectly fine to use a certain Free program by running
     it on your computer. That way you can change it if you want. But to
     have the same program running on somebody else's server, and you just
     connect to that server, well, you can't change the version of that
     program that's running on that server because that server is not
     yours. So it's not just which program you're talking to, it's who's
     running it that matters in terms of your freedom. For your freedom it
     should be you running that free program, so you can modify it. If
     it's running in my server, well, that's my copy and I can modify it
     but you can't. At least you can't put the modifications into the copy
     running on my server. That's not good for your freedom.


     [12:00]


     Now one very visible aspect of this danger is that there are a lot of
     programs which people think of as sort of like Free or Open Source
     which impose limits on what users can do with them. Now that can't be
     the case if you install a Free program and run it. A Free program
     respects Freedom Zero, which is the freedom to run the program
     however you wish. But there are programs such as Ollama or is it
     llama? I don't know. But the point is it's not Free Software because
     in its license it says that you have to agree to a contract in order
     to use it and that contract has a long list of


     [13:00]


     things that you're committing never to use it for. It makes no
     difference whether those things are bad things or ok things the point
     is that companies should never have that kind of power over society.
     What would happen if society were to pick up the use of this quote
     "Open Source" unquote program and everybody was expected to agree to
     the license's restrictions on use that are included in that Ollama
     license. It wasn't easy for me to get to see it. You have to run non-
     Free software in order to download a copy of the license. I had
     someone send it to me. I hope


     [14:00]


     that person won't get sued for copyright infringement for sending me
     a copy of the license. The point is that we may want to place
     restrictions on things people are allowed to do with that program but
     if those restrictions are justified then they're not justified only
     for one program. In order for them to be justified there has got to
     be a powerful reason that would apply to any program that can do
     those same things and it should be adopted by governments
     democratically legislated not simply proclaimed by a business and
     imposed on society. So if we want, and I think we should have, some
     laws about what we are allowed to do


     [15:00]


     with certain computer programs we should make them general enough
     that they apply regardless of which program you might use and we
     should not let businesses decide what they say. We must not farm out
     legislation to powerful businesses they have no right to have that
     power. Consider for instance fraud. Fraud is wrong. It's wrong
     whether it's carried out using a pen and paper or with a text editor,
     with an e-mail client, whatever. And in fact, it's prohibited
     regardless of those details because the crime is fraud. The crime is


     [16:00]


     not misuse of a text editor or misuse of e-mail or misuse of a pen.
     And that's the way it should be. It means that we don't need to
     update the law against fraud to apply specifically to all the
     programs you might use to commit fraud with. They're all covered
     because those details are irrelevant to that law and that law was not
     decided by a company. It's not imposed on us by a company that
     everyone feels is inevitable to be a customer of. We should do the
     same thing any abuse of digital technology which is bad enough that
     it needs this kind of correction to be done by laws that are


     [17:00]


     general not associated with the release of any particular program.
     And not a matter for the developer of the program to choose. The
     developer should not have the power to impose such restrictions at
     all. Only governments who get the power to legislate should be
     allowed to do that because with governments we can have democracy but
     businesses will never be governed by our votes.


     Now, another problem we have with the Web as it is today is that it
     has become common for web sites to send software to run in users'
     browsers. The World Wide Web originally


     [18:00]


     operated by transmitting declarative data to a browser and the
     browser would then, I can't remember the word, render that data as
     some sort of picture on the screen. And the browser would do this
     according to code that runs in the users' machines so once there was
     a free browser users could control how that data would be rendered.
     The web was designed to let users control how that data would be
     rendered but businesses didn't like that. Businesses wanted to be
     able to control how their pages would look to users. And they
     redesigned things to give


     [19:00]


     the business more and more say in how its pages would look when
     rendered by a user. Well to some extent it's optional, as long as it
     was only CSS you could turn it off, you could delete it, various
     things ultimately you were not under the business' control. But with
     Javascript it's much worse. Javascript as it's normally used is a
     program sent by a business or other organization to your computer to
     run there and practically speaking it is very hard to be able to
     change it. There are ways. It's a kludge though. And you could hardly
     ever have the time to study the sometimes very


     [20:00]


     large programs that so many different web sites send you. You may
     look at that site only for a few minutes and then you're looking at
     something else no one can feasibly look at these and there's no easy
     way to distribute to people recommended changes and you don't
     normally get the real source code either. You get obfuscated code or
     you get compiled code in the form of assembler language or just
     numbers. This is no good. We need to go back to a system more like
     the original web where what you get sent is declarative data, which
     is then realized as


     [21:00]


     standard kinds of behavior so that normally web sites can work
     without any specific Javascript code. This means we have to come up
     with general constructs that can be combined to get a lot of useful
     results, something like the 1990s windowing toolkits. You combine
     those, you can get the behavior you want, and it will display
     reasonably fast but always using code that is part of the system you
     installed and so we can build up a suitable library of general
     constructs with various parameters to be set for each one each time
     it is used and out of those you could build your web page.


     [22:00]


     It would do the specific things it is supposed to do but the
     thousands of web pages you would look at would be using a finite list
     of general constructs that can be developed and maintained as Free
     Software. And who's community verification and maintenance would give
     you a reason to trust it. In this way, we would have much less
     malware in the world's web sites.


     Now the decentralized web, if it is to be for everyone, must make web
     pages accessible to everyone. Including stalwarts like me who


     [23:00]


     don't run non-Free Javascript code. So, one thing you've gotta do for
     a world like this that everyone can participate in is to make sure
     your web sites are accessible without running non-Free Javascript.
     And ideally accessible without running non-standard constructs so
     that your system could include implementations of it.


     When I first looked at your web site for this event, I couldn't see
     most of it because it wouldn't display much without running non-Free
     Javascript. I think that that was fixed because later on I could see
     most of the site. This should be a


     [24:00]


     criterion we make sure we fully follow and you have to watch out for
     making a web site use another web site to do part of the job because
     you could make all of your Javascript code Free and forget to check
     whether the other web site's code is Free and the solution for this
     is to try browsing the site LibreJS enabled. Which will tell you
     about and block non-Free Javascript. That way you can make sure
     you've made your web site fully accessible to stallwarts, freedom
     defending stallwarts.


     [25:00]


     Now, decentralization must include decentralization of what software
     is running. The July 19th Crowdstrike disaster shows what happens
     when lots and lots of web sites are running the same piece of
     software that gives special access to the same people. They might all
     go down the same day. And who can fix them? There are only a few
     people who are even authorized to try to fix them. We better learn
     our lesson from that as a world and not get into that sort of power
     of some few.


     [26:00]


     We have to recognize that letting a few have such power over our
     computing activities is not only threatening to be oppressive but
     threatening to wreck things completely.


     Anti-social media platforms all put a lot of effort into their
     recommendation engines. And these are examples of programs that I
     consider to be truly artificial intelligence because they do
     understand the field that they are supposed to understand, they're
     designed to understand, and that is which kinds of recommendations
     will enable the company to make more money. That's what the companies
     want, and the programs can figure that out pretty well.


     [27:00]


     For instance, anything that is upsetting, controversial, makes some
     people angry, is likely to keep people on the site and that's what
     the company wants. More time on the site means more ads seen and so
     on. And yet that pattern turns out to be very harmful for society. It
     has boosted right wing extremists and puts democracy in danger. I
     have a recommendation for how to solve that. The platforms themselves
     should not be allowed to have recommendation engines. This is
     something like anti-trust law. No, you shouldn't have one company
     able to let people post things and


     [28:00]


     also choose what to recommend what people watch. Instead the
     recommendatio should have to be separate. And the two should operate
     at arm's length through a publicly specified interface so that anyone
     else can make a recommendation engine. Anyone could, there'll be
     competing recommendation engines you could use with the same platform
     or perhaps with various platforms and that way yes there will surely
     be a right wing extremist recommendation engine but it won't be the
     only one and you won't be shoved straight into that whether you like
     it or not. Some US states are considering passing laws


     [29:00]


     that platforms can't direct their recommendation engines to quote
     children unquote which means people it's not clear what age. They're
     not all actually children but the problem with that is these
     recommendations are dangerous for adults too. So you're not really
     solving the whole problem if you try to protect only children. But
     I'm not saying ban recommendation engines, I'm saying disconnect them
     from platforms so platforms can't dump recommendation engines on poor
     users, or on any user if the user doesn't choose it.


     [30:00]


     One other point to mention, GitHub is not a good site to use. Most
     operations on GitHub require running non-Free software. I can't get
     much information out of the GitHub URL. I mightg be able to download
     and clone a repository if I wanted to study in that much detail which
     I never do. I never have time for that but to get the general
     information about the program, like what does it do, what is its
     license, what does it depend on, that's not easy to get. That's a
     very bad thing. In


     [31:00]


     gnu.org/software/repo-criteria-evaluation.html you can see our
     criteria for judging a repository site and our evaluations of various
     repository sites including GitHub. GitHub gets an F, and you can see
     exactly why. So please don't put your work on GitHub. Please put it
     somewhere else on a site that matches up to the criteria for a good
     and Freedom respecting repository .


     What about payments? I've never used cryptocurrency. There were
     things I found disappointing and worrisome


     [32:00]


     when I learned about BitCoin. And it's not clear to me that others
     are much better. One thing is that BitCoin tries to make the payer
     and payee, both of them, anonymous. Now it may not do a very good job
     of them. Basically it's the wallet doesn't have to be identified with
     anyone but since all the transactions can be tracked, the money can
     be tracked around from one person to another and unless you are a
     miner how did you get it? That's one reason why I prefer GNU Taler.
     GNU Taler is an anonymous payment system developed in the GNU
     Project. You can get more information at


     [33:00]


     taler.net It's not a currency. It's for payments denominated in
     currencies that people use. So if it were implemented here in Germany
     it would probably be trading with Euros. But it's not an investment
     vehicle. It's not meant for currency speculation because it's not a
     currency. If you get say a hundred Euros in Taler tokens well the
     only fluctuation in their value will be the fluctuation of the Euro
     which is much less than the fluctuation of a cryptocurrency. I don't
     want to do currency speculation myself at all. I'm not a fan of risk.
     I don't gamble. Now with Taler the payer is anonymous


     [34:00]


     but the payee is always identified, which means that Taler does not
     help millionaires hide lots of money from taxation. The world has a
     tremendous problem with wealth that is hidden and cannot be taxed.
     It's part of the way that billionaires have been transferring more
     and more of the world's wealth to them leaving less and less for
     everyone else. And this change is on the order of twenty percent of
     the world's wealth. It's an enormous change that impoverishes people
     who are not rich but even worse it gives the rich people the power of
     oligarchy, the power to buy governments


     [35:00]


     and that threatens democracy. That threatens the rights of all of us
     but if we insist on payment systems that don't permit the hiding of
     large amounts of wealth, that problem will get less instead of more.
     Taler is not designed for paying a million dollars or a million
     Euros. It's designed for buying things every day.


     So, I went to an event in October and saw somebody wearing a shirt
     that said tax me if you can. His reason to advocate cryptocurrencies
     was essentially to try to


     [36:00]


     exclude his money from contributing a share to the needs of having a
     good society. Their states have very important responsibilities and
     in order to carry those out they need taxes. Letting the rich get out
     of the taxes and dump those on the non-rich leads to disaster. So I'm
     happy that GNU Taler will not have that flaw.


     So that's that.


     Now I'm ready to tell you one final word, which is please join


     [37:00]


     the Free Software Foundation. The FSF needs your support, and if you
     join at fsf.org we've gone to a lot of work to make sure that you can
     do that payment without running any non-Free Javascript code. It's
     important for us to practice what we preach. So please join or
     donate, and after the questions I have a gnu to auction but since the
     funkhaus does not allow selling inside I'm going to invite people to
     go outdoors with me and I will have the auction somewhere else not
     far away. But in the mean time. Walking distance basically. But right
     now it's


     [38:00]


     time for questions and I would like the organizers to tell me they've
     handed out pieces of paper to write the questions on.


     MC: Yes, we have the questions on paper. Would you like me to read
     them to you?


     RMS: No. No. No. No. No. No. Hand me the pieces of paper. I have
     hearing problems. I can read better than I can hear. Bring the papers
     to me and let me read them.


     MC: Coming right up.


     RMS: And please keep going around. Every time there are more papers,
     collect some and bring them to me. We can have them in a queue. Thank
     you. Keep seeing if people may be writing more questions now.


     [39:00]


     Your thoughts about Web3? Are cryptographic guarantees sufficient to
     trust personal information? Doesn't it contradict with Free Software?
     Well, there's no contradiction in principle between free software and
     non-published personal information. First of all, the personal data
     is normally not software and in the Free Software Movement we don't
     say that every piece of information has to be published. In general
     we are in favor of privacy for our personal information and your
     personal information. We don't say even that every program must be


     [40:00]


     released. You are free to write programs and never show them to
     anybody. We never said you shouldn't. In fact, Free licenses, part of
     being Free with freedom one is that you can make a modification and
     never publish the modified version or the diff or anything. You're
     never required to publish Sany version. What Freedom three says is
     that you have the freedom to publish your modifications or your
     modified version, but you don't have to. You can get a copy of GNU
     Emacs and make edits to serve your convenience and you don't have to
     publish those. Now Copyleft


     [41:00]


     says that if you do publish those, and others download that, or get
     copies of it, they also must likewise get the four freedoms. But you
     don't have to give a copy to any particular person. You don't ever
     have to offer copies to anybody. Freedom three doesn't say you must
     publish your modified version. It only says you are free to do so, if
     you choose. So there is no even hint of conflict between Free
     Software and Copyleft and privacy for things that are personal. If
     you write a program for your personal use, by all means, keep it
     private if that helps you. Now if it were a program of some general
     usefulness


     [42:00]


     such that having it would be a help to a lot of people then I would
     urge you make the program more general, make the things that you
     personally like, be controlled by parameters which you could specify
     one way and I could specify a different way and then release your
     program contribute it to the community. But it's never required that
     you publish a program or distribute it to anybody at all. So I think
     that means there is no actual contradiction between them.


     Could you think about how block chain tech can help defend human
     rights related to Free Software.


     [43:00]


     I am not sure. Bruce Schneier a few years ago said that in his view
     block chain didn't make possible anything that couldn't be done
     without it. I'm not an expert in that field and I don't know, because
     my concern is not about software like that it's about making sure the
     software we use is Free. So I saw that the various cryptocurrencies
     people were talking about were implemented with Free Software and I
     said, ok that's good on that score it's being handled the right way.
     And I didn't look at it any further because that is the aspect of


     [44:00]


     things that I focus on.


     Is bullshit ok if people agree on it, with a consensus system. I'm
     not completely sure what a consensus system is. Bullshit may be ok as
     humor and dissociated press is fun. So maybe so. The point is that
     bullshit becomes dangerous when it's presented as truth. So perhaps
     if every bullshit generator's output was interspersed with lines
     saying, this is output from a


     [45:00]


     bullshit generator don't assume anything in it is veritical [sic]
     then it might be harmless. I'm not sure.


     Have you heard of the term quote fair source unquote? I don't know. I
     don't think I have. And the functional source license? I'm not sure
     what that is. Sorry. Maybe you could look at gnu.org/licenses/
     license-list.html and see if those licenses are listed there. If they
     are, you could maybe tell us what they say or if they're not maybe
     you could e-mail me those licenses so


     [46:00]


     we at the FSF could think about them and judge whether they are free
     licenses. Can't we just call it Free and Open Software? Well, if
     that's what you want to say, I can't stop you but I think it's
     misleading. First of all do you mean the set that includes free
     programs and open source programs. Or does it mean programs that are
     at once both free and open source. You can see one of these is a
     conjunction one of these is a disjunction. Free or you could take
     that as meaning Free is synonymous with open source but they are not
     synonymous. They're very different. I recommend reading gnu.org/
     philosophy/open-source-misses-the-point.en.html


     [47:00]


     which explains thoroughly every aspect of the relationship between
     Free Software and Open Source Software.


     How much do you know about Web3? Not a tremendous amount, that's not
     my field.


     Have you ever written a smart contract and if no why? Well first of
     all I've never used Ethereum and as far as I know that's the only way
     smart contracts get implemented. I have not had a hunger to do it
     because the idea makes me worry. In society contract


     [48:00]


     can be dissolved, they can be voided, and this is sometimes a very
     good thing. For instance it makes possible bankruptcy that means that
     if you sign up for a contract that requires that you work for the
     rest of your life it can be declared invalid because legally one
     can't bind oneself for the rest of one's life like that. I am worried
     about whether some sort of computerized contracts will eliminate
     protections and freedoms such as bankruptcy law. I expect that a lot
     of businesses would jump at the chance to set up contracts and invite
     people to sign them which will trap them forever and they can't get
     out.


     [49:00]


     Some software is advertised as open but not open source.


     How do you apply the Free Software definition for AI models. Well
     we're thinking about that question right now. So I'm not sure. It has
     to be in principle the same freedoms. So how do you apply it to some
     sort of computer system where part of in addition to programs there
     are also collections of data which were not written by anyone but
     were


     [50:00]


     produced by operation of the system, which is what we mean by
     training. And the result is data which is useful for achieving a
     certain result when the program operates on it but was never designed
     by humans so there is no source code or anything comparable to it.
     Well, one way of looking at it is, can you change that data. If it
     were a program with source code you could change the source code and
     so yes you could change the thing and how it would behave. Well for
     machine learning control data, it would have to give you a way to
     change it. One possible way is continuing the training, incremental


     [51:00]


     training. You could use that to change how the system would behave.
     But it's a fact that since these people can't understand the meaning
     of the data in that collection there's no way to try to get a precise
     result. You train one of these recognition systems and later you'll
     get surprising behavior some of the time, and that may be a general
     rule. I'm not an expert in that field. But if


     [52:00]


     the most you could ever expect is a sort of approximate correctness
     an approximate fit with the specifications you want to achieve, well
     maybe it's good enough if incremental training gives you that much.
     If it's the most you could ever hope for in that field, it'd better
     be enough or else you don't want to do the thing that way.


     How to make people care? I think that's care. You can't, as far as I
     know. You can't make people feel this or that. People's own minds
     contribute to what they care about to their choice about what they
     care about. What I find is that. It's good to present the issue in
     ways that relate to things that people care about in other areas of
     life. And in the 14-minute video you can see where I got to


     [53:00]


     following that approach.


     Should I have the freedom for creating, distributing, and supporting
     proprietary software? Well, first of all, I think you shouldn't do
     those things but that doesn't mean you should be prohibited to do
     them. I tend to think that if there is something people want,
     prohibiting it is often not a very good solution. Look what happens
     from prohibiting dangerous drugs. On the other hand, maybe you can
     figure out why you see a lot of people trying to use dangerous drugs
     maybe you can see what leads them to go in that dangerous direction


     [54:00]


     and maybe make something else available that would be better than a
     drug maybe people wouldn't be drawn to those drugs. I don't know. The
     method of supplying drugs to addicts so as to wipe out the black
     market for drugs and then it would be harder for anyone who is not an
     addict to get her hands on some drug. That seems to work pretty well
     in countries that try it. So maybe a similar general approach could
     work with non-Free software as a way of discouraging it from being a
     successful business.


     What did you learn from the attempt to cancel you? Well, I learned


     [55:00]


     first of all it's not clearly a thing of the past. I wish it were.
     There are still people who make it their business to try to stop me
     from getting invited to speak, and it's a slow process working back
     from that. However, I learned the ability to stay calm and not react
     by getting upset and instead think carefully about what I should do.
     I am much, much better at keeping my self control when I respond to
     antagonistic attitudes. In fact it was amusing. I got a hate phone
     call about that time and


     [56:00]


     someone I didn't know said, "you defended Epstein", I said I didn't
     and a couple of interchanges like that and I brought it into a
     reasonable conversation. I felt pretty good about that. We went on
     for a while talking about various questions of right and wrong and
     how I had tried to do the right thing in connection with them. And
     what I thought, because I certainly did not approve of Epstein and I
     appreciate that his actions were quite hurtful and I never said
     otherwise. So she was able to understand me too.


     [57:00]


     This question seems to be written in such a way I can't see it. Or
     maybe just a blank sheet of paper got in.


     How or in what capacity does Web3 movement influence Free Software
     initiatives. Well, if you develop some Free Software, those are Free
     Software initiatives and you're influencing each other. Basically,
     nobody is in charge of Free Software, in general because every person
     or group contributing is free. That's the whole idea. Because of that
     I don't know how I could answer more than that but if you think it
     would be a good idea for me, the GNU Project, or the FSF to


     [58:00]


     recommend people hey please try to develop something to do this if
     you can, we can think about it and maybe do that. That might help
     out.


     More and more software is produced it says using AI. I don't know
     whether this refers to things I would call AI or things I would call
     bullshit generators. As these apps have become so easily created they
     have become a commodity and copyright and licenses become irrelevant.
     I don't see that that's true. But it's so vague I couldn't tell.


     How can people here donate to the cause of Freedom?


     [59:00]


     Well, the cause of freedom includes lots of political causes. There
     are many different freedoms, such as freedom of speech, the freedom
     to have a fair trial, that are tremendously important to all of us,
     not particularly related to software directly. There is freedom to
     have an abortion, which is not directly pertinent to me but it's very
     important cause and there are so many others. I can't give you an
     answer to a question that broad. But if you're talking about
     computing freedom and software freedom, well most of these issues
     there is nothing but the FSF that campaigns for it. At least that's


     [01:00:00]


     the the big visible organization but there are also lots of local
     organizations that promote software freedom in the area where they're
     at and there are a lot of those and you can join those. You can also
     donate to the Free Software Foundation. Please do. We need your
     support. You can also become an activist yourself, but donating to
     the FSF you can do through fsf.org.


     How do you see freedom of transaction in your terms? I'm sorry, I'm
     not sure what that means. I can imagine various possible meanings for
     it. Maybe write another question as a follow on.


     What would you say to people who think AI is


     [01:01:00]


     sentient and equal to us? Well, the real AI systems that I've heard
     about operate in very narrow domains. A program that can look at an
     image of some cells and report whether it's cancerous at least as
     accurately as a human pathologist, that can be very useful. But it's
     in now way comparable to the mental breadth of a human mind. And no
     one would ever think it was. I suspect that the person who wrote this
     question was thinking of bullshit generators. And there, well there
     are a lot of things I can say to them. I saw a wonderful


     [01:02:00]


     lecture by professor Zittrain of Harvard showing just how little
     bullshit generators actually understand of what they output and I
     think it got the message across very clearly. But I don't know
     whether he's published that. But I think that the first step is stop
     calling them AI. That's why I put so much emphasis on what we should
     call them. After all, what we call them doesn't change what they are.
     If you call it a bullshit generator or you call it AI it will still
     be the same system, whichever one it happens to be it'll still be the
     same. Whichever system you're talking about, it'll still be the same
     whether you call it AI or a bullshit generator but what people expect
     from it will be different.


     [01:03:00]


     The practice of calling these things intelligence and repeating this
     many times a day to people leads most people unthinkingly to assume
     that that's true. That's why it makes a difference which one we call
     them. That's why it's not enough to say yeah they call them AI but
     it's not true and then go on calling them AI. If we want to change
     the direction of the public of what to think, we have to be heard on
     this whenever people talk with us about this things and call it AI.
     We've got to be there and say, that's a misnomer they are not
     anything like what we think.


     I suspect GitHub is


     [01:04:00]


     the tip of the iceberg, from here freedom is perhaps too expensive as
     it will require full stack chain. I don't know what you mean by a
     stack in this context. But if you don't want to host on GitHub there
     are better repository sites more respecting of freedom that are
     listed in that same page gnu.org/software/repo-criteria-
     evaluation.html sorry I don't remember if there is an 'S'


     Outside of tech, what do you like to do? What are your hobbies? Well,
     I used to have some hobbies which I found inevitably I would give up.
     I used to love


     [01:05:00]


     international folk dancing but an injury meant I couldn't do it any
     more or other kinds of dancing that I used to enjoy. I used to enjoy
     playing music on a recorder but ten years ago or so I found that even
     when I practiced up I couldn't play tunes and have them come out
     right that even the same tunes that I had loved and learned how to
     play. I don't know why that is. I gave up. I still enjoy eating
     delicious food. It's not as easy as it was because I don't dare eat
     indoors with other people around I can catch COVID that way and I
     could end up dead.


     [01:06:00]


     So I can only eat with people in outdoor restaurants at outdoor
     tables and that limits what's available. Or if they come to my house
     I can turn on the HEPA filter that I've got for this purpose. Ok,
     sometimes one or the other will work but it's a lot more constraining
     than it had been.


     Bullshit generators are objectively helping users with efficiency.
     Are they? How does the Free Software Movement reconcile with this
     fact? Is it a fact? I don't know that it's helping them. What I hear
     is that it's


     [01:07:00]


     often making users frustrated but I have no personal experience of
     this since you have to run non-free software also and to generally
     talk to them. And since they are running on someone else's server, I
     wouldn't be willing to actually use them. To actually use someone
     else's server to do computing for real use rather than just playing
     it's what we call service as a software substitute and it's a way of
     doing your computing and losing your freedom in it. So I won't do it.
     So I have no experience of my own with using those systems but I read
     plenty from people who do. Which


     [01:08:00]


     casts doubt on whether they're really helping people in a useful way,
     saying if I wanted to try to write something and make it sound like
     good English without actually having to write it, it might save me
     some time but I'd have to read it very carefully to make sure it
     hadn't made any mistakes. Semantic mistakes that is.


Transcriber's disclaimer: "This is an unofficial quick-and-dirty
transcription."


"He [RMS] had some very good points," he said, "but due to the length of the
session they get lost."


We'll refrain from making any further comments and instead refer to the
comments_made_yesterday. There is an outline of the topics there.




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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡿⠃⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⢀⢾⢎⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢸⠀⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢻⠄⢶⠀⣟⠂⢩⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠜⠀⢠⠀⠇⠂⠀⠀⢸⡇⠀⠉⠉⠉⠙⠛⠛⠋⠹⣿⣇⢞⠀⠸⠂⠙⣵⣾⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⢟⠘⠢⠄⠀⣀⣸⣿⡄⠀⠀⠀⢠⣴⣾⣿⣾⣿⣏⣸⡄⠀⠀⢰⢦⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⣴⣾⣿⣿⣿⣿⠛⣠⠃⣀⣼⣿⣿⣿⣷⣦⣤⣤⣼⣛⣩⣴⣾⣿⣿⡿⠀⠁⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤
⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠛⠛⠛⠛⣻⣿⣿⣿⣿⣿⣿⣿⢇⠀⣀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣀⡀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣰⣿⣆⢠⣾⣆⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀
⠖⠶⣄⠀⠀⣴⣿⣿⣿⣿⣿⣿⣦⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⡆⠐⠻⠟⠉⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀
⠀⠀⣿⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣧⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀
⠒⠛⠁⠚⠛⠛⠛⠛⠛⠛⠛⠛⢛⣻⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡐⠒⠴⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⣻⣿⣿⡇⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀
⣿⣷⡿⢿⣿⣾⠿⣿⣶⠿⣿⣷⣿⣽⡻⢿⣿⣿⣿⣾⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠄⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠹⣿⣿⣿⣿⣿⣿⣤⣿⣿⣿⣿⣿⣿⣿⣛⣉⡉⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀
⢸⣿⡇⠈⣿⡇⠀⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⢉⡍⠙⠛⢀⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀
⠸⠿⠃⠀⠿⠇⠀⠿⠟⢰⠟⢫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⢸⡇⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠦⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀
⣶⣶⣶⣶⣶⣶⣶⣶⣶⣧⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡬⠟⠀⢀⣀⣤⣄⣼⣧⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⢀⡜⣽⣿⣿⡟⢻⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣶⡆⢾⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀⢀⣴⣿⣿⣿⣿⣿⡇⢸⡇⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠉⠛⠛⠛⠿⠿⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣶⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣁⡉⠙⣛⣿⣿⣿⣿⣿⡿⣛⡟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⣼⣿⡄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⣼⣧⣤⡄⣿⣤⢼⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢠⣤⣤⣤⣤⣤⣤⣤⣿⣿⣿⣿⣧⣿⣿⣿⣿⣧⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣦⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣭⣭⣭⣭⣤⣤⣤⣤⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣭⣭⣭⡉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢠⣤⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣭⣭⣭⣽⣭⣭⣄⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠈⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣉⡉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠉⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠉⠉⠛⠛⠛⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⣿⣯⣩⣍⣽⣽⣶⣭⣮⣍⣉⣉⠉⣹⣭⣿⣷⣦⡄⢶⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠀⠛⠛⠓⠛⠛⠓⠚⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 5557

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/09/10/Why_the_Free_Software_Foundation_FSF_Owning_or_Renting_Office_S.shtml
    Gemini version at https://techrights.org/n/2024/09/10/Why_the_Free_Software_Foundation_FSF_Owning_or_Renting_Office_S.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Why the Free Software Foundation (FSF)
Owning or Renting Office Space Mattered⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Sep 10, 2024


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇FSF30_—_The_Journey_Continues_by_John_W._Sullivan_(FSF)⦈_


HAVING just_mentioned the finances (purely fiscal aspect) involved with the
office shutdown at the Free Software Foundation (FSF), consider a recent
message from an FSF supporter. "The free software foundation is closing its
doors at the end of the month," she told us, "likely you have heard."


Yes, that was weeks ago.


"I’m gonna try to swing this because it’s the fsf closing their doors… At least
their physical location..."


Another person said, by means of analogy, that another known (but redacted)
institution "is relatively old. It survived a couple of really dry periods and
hard times when cooperatives, and especially the ideology behind them, passed
out of fashion for a while. There had been many more similar institutions which
had been far more dedicated and/or radical but they all vanished. Pretty much
the sole reason was that they owned their own property so closing the doors was
not as simple as stopping to write checks."


"Without owning its own office space, the FSF can easily succumb to hard times,
it's just matter of stopping writing checks and then packing up a few boxes.
And without even renting, it becomes as simple as not getting around to logging
in. In the long term, the FSF needs to own its future office space, but then
the deadly risk is that the property ownership becomes the end goal rather than
software freedom." █




⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢂⣸⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠟⠟⠻⠛⠟⠋⠁⠀⠀⠀⠀⠀⠀⡀⣔⠟⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠁⠀⣿⣿⣿⠿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 5629

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Gemini Links 10/09/2024: DUIs and Useless
Analytics⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Sep 10, 2024


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


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


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


          o § Personal/Opinions⠀➾


                # ⚓ 🔤SpellBinding:_AHOSTWU_Wordo:_MOLAS⠀⇛


                # ⚓ Lies_and_DUIs⠀⇛


                       welp


                       i finally did it


                       i got my first dui


                       stupidly decided to drink


                       and drive


                       and speed


                       and proceed to get arrested


                # ⚓ Pale_September,_may_energy_return⠀⇛


                       My favorite season, The Harvest, is here. Cooler
                       more now, so happy. Raining. Here's a playlist.


          o § Technology and Free Software⠀➾


                # § Internet/Gemini⠀➾


                      # ⚓ Useless_Analytics⠀⇛


                             I don't have any fancy analytics on my site.
                             I've been told I don't need them[1]. In any
                             case, installing some such software is
                             against the hand-rolled approach I take with
                             this site.


                             I do still want to look at stats. I do this
                             by grepping through my server logs. I even
                             set up a way to log webmentions. I know it's
                             best not to obsess too much, but I want such
                             Internet Points[2] as I can get.


                      # ⚓ One_Year⠀⇛


                             I had to renew hosting and domains for
                             hearsay.tech today.


                             Time feels long. When I think back to
                             starting this gemlog, it feels like... ages
                             ago. A different epoch. Even when time goes
                             fast, it goes slow in many ways. Sometimes I
                             get to the end of the week and am slightly
                             surprised it's Friday, but when I look back
                             at Monday, I feel the gulf.


                             Going through the motions of renewal poked a
                             reflective part of me, and I thought back to
                             how I felt about the last 12 months.


                             There were some gradual but large changes
                             this year.


                             I gained energy that I didn't expect to have.


                      # ⚓ How?_How_do_people_not_know_their_own_email
                        addresses?⠀⇛


                             I'm still receiving emails from strangers [1]
                             who for some reason or another, think their
                             email address is “seanconner@gmail.com” (no
                             [2], really [3], I [4] get [5] so [6] many
                             [7] emails [8]). This time, it's from someone
                             who's TikTok account was accessed on a new
                             device: [...]


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





                    ䷩ 𝚕𝚒𝚗𝚎 5765

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Links 10/09/2024: Big Brother Awards
Germany 2024 and Telling the Unemployed to 'Drive
Uber'⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Sep 10, 2024


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


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * Leftovers
          o Science
          o Education
          o Hardware
          o Health/Nutrition/Agriculture
          o Proprietary/Artificial_Intelligence_(AI)
    * § Leftovers⠀➾


          o ⚓ Ruben Schade ☛ George_Fame:_I_Love_the_Life_I_Live⠀⇛


                 Keen-eyed viewers may recognise the cover as being a
                 similar style to Ben Sidran’s Cool Paradise, released
                 around the same Go Jazz label. They also toured together,
                 and appeared on each others concert albums. There’s
                 something so magical about that late 80s mix of
                 electronic synth and jazz/big band I can’t get enough of.


          o ⚓ New York Times ☛ James_Earl_Jones_Dies_at_93;_His_Acting
            Resonated_Onstage_and_On-screen⠀⇛


                 From destitute days working in a diner and living in a
                 $19-a-month cold-water flat, Mr. Jones climbed to
                 Broadway and Hollywood stardom with talent, drive and
                 remarkable vocal cords. He was abandoned as a child by
                 his parents, raised by a racist grandmother and mute for
                 years in his stutterer’s shame, but he learned to speak
                 again with a herculean will. All had much to do with his
                 success.


          o ⚓ Lou Plummer ☛ How_to_Get_Lots_of_Internet_Points⠀⇛


                 I follow the IndyWeb tenet of POSSE - Post on (your)
                 Site, Syndicate Elsewhere, and it works for me. The only
                 social media site I spend any meaningful time on is
                 Mastodon. I have listed my blogs on a few blog
                 directories and I help my friend Jedda maintain one as
                 well. I don't do any kind of search engine optimization
                 to drive traffic to my blogs.


          o ⚓ Jim Nielsen ☛ Seeing_Others_in_Data,_But_Not_Ourselves⠀⇛


                 In other words: we believe data is a reflection of
                 others, but not ourselves.


          o ⚓ Dhole Moments ☛ Doesn’t_Matter_-_Dhole_Moments⠀⇛


                 To be a little more blunt: It’s overwhelmingly likely
                 that nothing I write here will ever directly be on the
                 final exam for any course you study. Your academic,
                 career, romantic, and life success will not depend on my
                 musings in any significant way.


          o ⚓ Catherynne M Valente ☛ Stop_Talking_to_Each_Other_and_Start
            Buying_Things:_Three_Decades_of_Survival_in_the_Desert_of_Social
            Media⠀⇛


                 I’ve always rather liked the year I was born, 1979. The
                 cuspy Oregon trail Xennial micro-generation to which I
                 belong. It means I’ve seen a lot of transitions I might
                 have missed had my parents not both been oldest children
                 who had me young. All my siblings are significantly
                 younger than me and missed a great deal of what I
                 remember. Add to that a very politically active mother, a
                 digital early-adopter father, and a creepily good memory
                 and you have an elder millennial who nevertheless recalls
                 some key Gen X touchpoints from a tiny child’s point of
                 view. I’ve always valued that perspective as time and the
                 internet has gone on, and it sure as fuck makes me madder
                 now than I ever would’ve been if MySpace was my
                 introduction to social media networks.


                 So this clown car isn’t just going back to the turn of
                 the millennium or GeoCities, but to Granddaddy Prodigy.


          o § Standards/Consortia⠀➾


                # ⚓ Sean Conner ☛ How?_How_do_people_not_know_their_own_email
                  addresses?⠀⇛


                       I don't know why this should surprise me any more,
                       but it still does. I just … why? How? What's the
                       angle here?


          o § Science⠀➾


                # ⚓ Hackaday ☛ The_Science_Of_Coating_Steel⠀⇛


                       [Breaking Taps] has a look at “parkerization” — a
                       process to coat steel to prevent rust. While you
                       commonly see this finish in firearms, it is usable
                       anywhere you need some protection for steel parts.
                       The process is relatively easy. It does require
                       heat and a special manganese solution made for the
                       purpose. You scuff up the surface of the steel and
                       degrease and wash it.


                # ⚓ Not_exactly_“sensible_medicine”_for_Elle_Macpherson’s
                  breast_cancer⠀⇛


                       A few days ago, I wrote about how the news was
                       abuzz with stories about an interview that
                       supermodel turned “wellness” entrepreneur Elle
                       Macpherson gave to The Australian Women’s Weekly as
                       part of the promotional campaign for her new book
                       Elle. Specifically, the stories were about the part
                       of the interview where Macpherson revealed that she
                       had been diagnosed with some form of breast cancer
                       in 2017, which had been surgically excised
                       (apparently), but then made a decision that I
                       wouldn’t consider “sensible” by refusing
                       mastectomy, radiation, and chemotherapy. If you
                       read my post, you’ll know that I was a bit confused
                       about what, exactly, it was that Macpherson had
                       been diagnosed with, given that at one point she
                       referred to it as “intraductal carcinoma” (which is
                       a premalignant, not a malignant lesion) but then
                       said that doctors had recommended that she undergo
                       mastectomy with reconstruction, chemotherapy, and
                       radiation. Why? For one thing, chemotherapy is not
                       in the treatment armamentarium for “intraductal
                       carcinoma,” more commonly referred to as ductal
                       carcinoma in situ, or DCIS for short. For another
                       thing, radiation therapy after a mastectomy is also
                       not in the treatment armamentarium for DCIS, even
                       DCIS so extensive that it requires a mastectomy to
                       clear. postmastectomy radiation is generally
                       indicated for large invasive cancers that involve
                       skin or muscle and/or have metastasized to the
                       axillary lymph nodes (the lymph nodes under the
                       arm, not DCIS.


                # ⚓ Science Alert ☛ Astronomer_Reveals_The_Dangers_of_SpaceX's
                  Polaris_Dawn_Mission⠀⇛


                       As the commercial space industry takes off, there
                       will be accidents and people will die. Polaris
                       Dawn, planned to launch early in September 2024,
                       will be a high-risk mission using only civilian
                       astronauts. So, now is a good time to assess the
                       risks and rewards of leaving the Earth.


                # ⚓ Hackaday ☛ One_Giant_Steppe_For_Space_Flight⠀⇛


                       In a recent photo essay for the New Yorker
                       magazine, author Keith Gessen and photographer
                       Andrew McConnell share what life is like for the
                       residents around the launch facility and where
                       Soyuz capsules land in Kazakhstan.


                # ⚓ Hackaday ☛ DOOM_On_A_Volumetric_Display⠀⇛


                       There’s something magical about volumetric
                       displays. They really need to be perceived in
                       person, and no amount of static or video
                       photography will ever do them justice.
                       [AncientJames] has built a few, and we’re reporting
                       on his progress, mostly because he got it to run a
                       playable port of DOOM.


          o § Education⠀➾


                # ⚓ Henrique Dias ☛ Fear_of_Deep_Water⠀⇛


                       It feels weird to do swimming lessons as an adult,
                       a bit embarrassing even, especially when everyone
                       around me can swim. But if you look at the stats,
                       you’ll see that 40-55% of adults don’t know how to
                       swim (ranging from study to study). So it’s
                       actually not out of the ordinary. I just happened
                       to come from a sea-side country to another sea-side
                       country and therefore the majority of people in
                       both countries know how to swim.


          o § Hardware⠀➾


                # ⚓ Hackaday ☛ This_Tiny_Steam_Engine_Takes_A_Watchmaker’s
                  Skill_To_Build⠀⇛


                       When your steam engine build requires multiple
                       microscopes, including those of the scanning
                       electron variety, you know you’re building
                       something really, really tiny.


                # ⚓ Tom's Hardware ☛ The_GPU_benchmarks_hierarchy_2024:_Ten
                  years_of_graphics_card_hardware_tested_and_ranked⠀⇛


                       Our GPU benchmarks hierarchy ranks all the current
                       and previous generation graphics cards based on
                       real-world gaming tests. Find out how the latest
                       GPUs from Nvidia, AMD, and defective chip maker
                       Intel stack up, with this comprehensive look at
                       over 80 GPUs from the past decade.


                # ⚓ CNX Software ☛ Mayhem_v2_expansion_for_Flipper_Zero_adds
                  Wi-Fi,_BLE,_camera,_microSD_card_slot,_and_NRF24_or_CC1101
                  radio_support⠀⇛


                       Erwin Ried‘s Mayhem v2 is an all-in-one ESP32 and
                       NRF24L01-based expansion board designed for Flipper
                       Zero. This board adds Bluetooth and Wi-Fi through
                       an ESP32-S module, features 2MP camera with
                       flashlight, a microSD card slot, and support for
                       either an NRF24L01 module (for sniffing and
                       mousejacking) or a CC1101 module (for external
                       radio communication).


                # ⚓ CNX Software ☛ Jetway_MF32_3.5-inch_SBC_is_offered_with
                  defective_chip_maker_Intel_Core_i5-1335UE_or_defective_chip
                  maker_Intel_Processor_U300,_four_2.5GbE,_M.2_expansion⠀⇛


                       Jetway MF32 is a 3.5-inch single-board computer
                       (SBC) offered with either an defective chip maker
                       Intel 13th Gen Core i5-1335UE or an defective chip
                       maker Intel Processor U300. It includes four
                       defective chip maker Intel 2.5GbE LAN ports and
                       optional dual PoE with a max output of 40W. The
                       board supports up to 32GB of DDR5 memory, offers
                       various M.2 expansion slots, and comes with a Nano
                       SIM card slot.


          o § Health/Nutrition/Agriculture⠀➾


                # ⚓ Pro Publica ☛ Which_Brands_Want_to_Loosen_the_Definition_of
                  “Recyclable”?⠀⇛


                # ⚓ JURIST ☛ Biden_administration_finalizes_new_rules_to
                  improve_mental_healthcare_access⠀⇛


                       The Biden administration on Monday finalized
                       several modifications to the existing legal
                       framework governing mental healthcare, aiming to
                       close loopholes in the existing law and improve
                       access to treatment for mental illness and
                       addiction.


                # ⚓ New York Times ☛ How_a_Rural_Maine_County_Jail_Helped
                  Prisoners_Blunt_Opioid_Cravings⠀⇛


                       A sheriff fought to give prisoners addicted to
                       opioids a shot that suppresses cravings for a
                       month. Upon release, they were more likely to
                       continue treatment.


                # ⚓ NYPost ☛ Slash’s_stepdaughter_Lucy-Bleu_Knight_left_suicide
                  notes_at_death_scene:_medical_examiner⠀⇛


                       Slash's stepdaughter Lucy-Bleu Knight left suicide
                       notes before tragically taking her life in a rental
                       unit, the medical examiner confirmed to The Post.


                # ⚓ Pro Publica ☛ Biden_Admin_Strengthens_Protections_for
                  Mental_Health_Care_Coverage⠀⇛


                # ⚓ New York Times ☛ The_Trade-Off_for_Mountain_Tranquillity_in
                  California?_Increasing_Fire_Risk.⠀⇛


                       Many Southern Californians have moved to San
                       Bernardino County for more affordable homes and
                       calmer lifestyles, but some also face disaster
                       risks.


                # ⚓ Science Alert ☛ Timing_Chemotherapy_With_Cancer_Cell_Clocks
                  May_Improve_Treatments⠀⇛


                       Tumors have a ticker, too.


                # ⚓ New York Times ☛ Greed,_Gluttony_and_the_Crackup_of_Red
                  Lobster⠀⇛


                       How missed opportunities, a $1.5 billion real
                       estate deal, all-you-can-eat shrimp and the global
                       pandemic sank the country’s largest seafood chain.


                # ⚓ Press Gazette ☛ Telegraph_Ukraine_podcast_presenter_David
                  Knowles_dies_aged_32⠀⇛


                       Knowles died aged 32 after suffering a suspected
                       cardiac arrest.


                       >


                # ⚓ European Commission ☛ EU_and_Canada_launch_Health_Policy
                  Dialogue_to_advance_Health_Priorities⠀⇛


                       European Commission Press release Brussels, 09 Sep
                       2024 Today, Commissioner for Health and Food
                       Safety, Stella Kyriakides, and Canada's Minister of
                       Health, the Honourable Mark Holland, held a virtual
                       meeting to launch the EU-Canada Health Policy
                       Dialogue under the EU-Canada Strategic Partnership
                       Agreement.


                # ⚓ Latvia ☛ Local_diphtheria_outbreak_detected_in_Latvia⠀⇛


                       A local outbreak of diphtheria has been detected in
                       Latvia, the Children's Clinical University Hospital
                       (BKUS) said in a release on September 9.


                # ⚓ Science Alert ☛ A_Deadly_Pandemic_Now_Threatens_The_Most
                  Remote_Place_on_Earth⠀⇛


                       Just as we feared.


                # ⚓ New York Times ☛ Adams_Tests_Positive_for_Covid,_Prompting
                  Him_to_Scale_Back_Schedule⠀⇛


                       Mayor Eric Adams canceled two planned events as
                       federal investigations swirl around him and his
                       inner circle.


                # ⚓ CS Monitor ☛ East_Africa’s_mpox_responders_fight_stigma
                  with_‘love_and_dignity’⠀⇛


                       Drawing on lessons from past epidemics like HIV and
                       COVID-19, communities in East Africa are fighting
                       stigma around mpox to stop the disease’s spread.


                # ⚓ Ruben Schade ☛ Brewed_coffee_over_espresso⠀⇛


                       I’d say most coffee people like both espresso and
                       brewed coffee, but we all have a preference towards
                       one or the other. Espresso is made from water
                       forced through coffee at high pressure, whereas a
                       brewed coffee is allowed to steep and filter its
                       way to your cup. Both have their pros and cons, and
                       have such diverse taste that I classify them as
                       different drinks, just as I do boba and green tea,
                       or my beloved Pilsner or a Weißbier.


          o § Proprietary/Artificial Intelligence (AI)⠀➾


                # ⚓ Embracer's_Lost_Boys_Interactive_Hit_With_Layoffs_-_News⠀⇛


                       “Today is a challenging day for Lost Boys
                       Interactive as we face the difficult decision to
                       reduce our workforce,” said the CEO of Lost Boys
                       Interactive Shaun Nivens. "We recognize the impact
                       of this decision on our team members, who have
                       contributed greatly to our success. Decisions
                       involving staff reductions are never made lightly,
                       and this action was taken only after considering
                       all other options. We are committed to supporting
                       them in every way we can during this transition."


                # ⚓ Xe's Blog ☛ Reflection_is_cooked⠀⇛


                       Generative Hey Hi (AI) is in its Cambrian Explosion
                       phase. So many people are taking the models and
                       messing around with them in so many ways to try and
                       see if they can make something work. There's just
                       one problem: how do you tell if a model is good or
                       not without actually setting it up and using it?


                       One of the biggest points of comparison is the ELO
                       score that each model gets when it's added to the
                       LMSYS_Chatbot_Arena leaderboard. This is generally
                       seen as a consistent way to evaluate models, but
                       it's kinda costly to do these evaluations and takes
                       a fairly long time to converge on a ranking that
                       "makes sense". My favorite model Hermes_3_70b isn't
                       currently on the leaderboard (probably because it
                       was released like two weeks ago), but the model
                       it's based on (Facebook's Llama 3.1 70b Instruct
                       model) currently ranks 16th.


                # ⚓ Kevin Boone ☛ Comparing_Dropbox,_pCloud,_and_rsync.net_for
                  off-site_storage_for_Linux_users⠀⇛


                       I will consider three off-site backup and
                       synchronization services that have some claim to be
                       Linux-friendly: Dropbox, pCloud, and rsync.net. By
                       ‘Linux-friendly’ I mean that they either provide
                       specific software for Linux (Dropbox and pCloud),
                       or use protocols that are widely used in the Linux
                       world (rsync.net). I’m specifically not including
                       Google Drive, because it offers no official support
                       for Linux at all. There are third-party Linux tools
                       that provide some measure of integration with
                       Google Drive, and Linux users can still use its web
                       interface. Nevertheless, I’m focusing on services
                       that specifically target Linux – if only in a half-
                       hearted way – rather than those that actively
                       repudiate it.


                       The three services I describe in this article are
                       ones that I have used extensively, over the last
                       ten years or so. I have most experience with
                       Dropbox so, if I seem particular hard on that
                       service, it’s probably because I’ve had longer to
                       get familiar with its faults.


                # ⚓ [Old] The Verge ☛ Social_media_is_doomed_to_die⠀⇛


                       This cycle has become all too familiar to me after
                       growing up on AIM and Myspace, going to college on
                       Facebook, and watching dozens of social companies
                       rise and fall as a reporter at Insider and The
                       Verge. Each platform began honorably, with young
                       founders enthusiastically revealing that if you
                       aren’t paying for the product, you are the product.
                       “We’re going to do things differently around here!”
                       they say through a grin.


                       And then the founders discover, one by one, that
                       there’s something not quite right about the
                       business of social media. They made their apps free
                       to scale their community, and then they found there
                       was no turning back. Unfettered growth became the
                       only way forward, no matter how unrecognizable the
                       product had to become to get there.


                # ⚓ It's FOSS ☛ What_is_Hugging_Face?⠀⇛


                       Hugging Face is a crucial platform for Hey Hi (AI)
                       models. But, what is it? And, what can you expect?
                       Here, we tell you.


                # ⚓ Qt ☛ Examples_of_local_LLM_usage [Ed: Peddling the cargo
                  cult du jour (and Wall Street valuation Ponzi scheme, based
                  on lies and false promises)]⠀⇛


                       While researching for my Qt_Contributors_Summit
                       2024_talk I have learned about llamafile (and
                       Mozilla’s_Huggig_Face_repository), which allows you
                       to distribute and run large language models (LLMs)
                       with a single file.


                # ⚓ IGN ☛ Ex-PlayStation_Chief_Criticized_for_Saying_Laid_Off
                  Developers_Should_‘Drive_an_Uber’_or_‘Go_to_the_Beach_for_a
                  Year’⠀⇛


                       The former boss of Sony’s European PlayStation
                       business has come under fire for saying video game
                       developers who are laid off should drive an Uber or
                       go to the beach for a year until the industry
                       recovers.


                       Chris Deering, who was boss of Sony Computer
                       Entertainment Europe from 1995 to 2005 and in
                       charge of the business for the launch of the
                       original PlayStation in Europe, appeared on the My
                       Perfect Console podcast to discuss the brutal
                       layoffs that have seen tens of thousands out of a
                       job in recent years. He downplayed the role of
                       corporate greed in the layoffs, and had some
                       controversial advice for those who have found
                       themselves made redundant.


                       "I don't think it's fair to say that the resulting
                       layoffs have been greed," Deering said. "I always
                       tried to minimise the speed with which we added
                       staff because I always knew there would be a cycle
                       and I didn't want to end up having the same
                       problems that Sony did in electronics."


                # ⚓ Those_Affected_By_Layoffs_Should_Drive_Uber,_Says_EX-Sony
                  President⠀⇛


                       X-Sony President Chris Deering explains in a
                       podcast that the layoffs in the gaming industry
                       aren't due to corporate greed.


                # ⚓ Jakub Steiner ☛ Jakub_Steiner:_Autonomous_Cameraman⠀⇛


                       It’s been a while since I’ve annoyed you by
                       mentioning drones, but here we are with DJI’s
                       latest creation—the Neo. DJI is a giant, soulless
                       corporation, but they’ve made some clever design
                       decisions with this drone. It’s a flying camera
                       that works without a phone or remote, and for about
                       half the price of a GoPro, you get a self-
                       sufficient, button-operated flying cameraman. Take
                       it out, push a button, and off it goes, capturing
                       footage like it knows what it’s doing. It might
                       also just simply be a response to the actually
                       innovative HoverAir X1, just made extremely
                       affordable.


                # § Privatisation/Privateering⠀➾


                      # ⚓ New Statesman ☛ Could_the_UK's_water_bosses_really_go
                        to_prison?⠀⇛


                             The Great Stink, as it has since come to be
                             known, was a disgusting natural phenomenon in
                             which that summer’s hot weather exacerbated
                             the inescapable smell of untreated human
                             waste and industrial chemicals that had
                             seeped onto the banks of the Thames. The
                             centre of London being thrown into chaos by
                             the inexorable stench of human excrement that
                             summer could have been avoided. It was
                             largely down to the capital’s ageing and
                             inadequate sewage system emptying directly
                             into the famous river, and the episode led to
                             a major upgrade of the wastewater network led
                             by the engineer Joseph Bazalgette.


                # § Security⠀➾


                      # § Privacy/Surveillance⠀➾


                            # ⚓ BIA Net ☛ Turkey_seeks_help_from_Google_as_108
                              million_people’s_info_stolen_in_massive_breach⠀⇛


                                   Among the stolen data are the Turkish
                                   identification numbers of 108 million
                                   people, residential addresses of
                                   82,322,190 people, and mobile phone
                                   numbers of 134,817,279 individuals.


                                   The five files, encompassing data of
                                   all individuals registered with any
                                   official body in Turkey, regardless of
                                   their citizenship status, have a total
                                   size of 42.18 GB.


                            # ⚓ Scheerpost ☛ You_Really_Do_Have_Some
                              Expectation_of_Privacy_in_Public⠀⇛


                                   This is where mass surveillance comes
                                   in. While it is unreasonable to assume
                                   that everything you do in public will
                                   be kept private from prying eyes, there
                                   is a real expectation that when you
                                   travel throughout town over the course
                                   of a day—running errands, seeing a
                                   doctor, going to or from work,
                                   attending a protest—that the entirety
                                   of your movements is not being
                                   precisely tracked, stored by a single
                                   entity, and freely shared with the
                                   government. In other words, you have a
                                   reasonable expectation of privacy in at
                                   least some of the uniquely sensitive
                                   and revealing information collected by
                                   surveillance technology, although
                                   courts and legislatures are still
                                   working out the precise contours of
                                   what that includes.


                            # ⚓ EDRI ☛ Save_the_date:_Freedom_not_Fear_2024⠀⇛


                                   Freedom not Fear (FNF) is an annual
                                   self-organised conference on privacy
                                   and digital rights. People from all
                                   across Europe meet and work towards
                                   more freedom in the digitalised world,
                                   plan actions against increasing
                                   surveillance and other attacks on civil
                                   rights.


                            # ⚓ EDRI ☛ BigBrotherAwards_Germany_2024⠀⇛


                                   Watch as the worst offenders on privacy
                                   and surveillance are being slammed at
                                   the German BBA gala. The
                                   BigBrotherAwards are presented to
                                   companies, institutions and persons who
                                   act in a prominent and sustained way to
                                   invade people’s privacy, sell personal
                                   data or use it beyond the permitted
                                   purpose.


                            # ⚓ BIA Net ☛ Turkey_seeks_help_from_Surveillance
                              Giant_Google_as_108_million_people’s_info_stolen
                              in_massive_breach⠀⇛


                                   The company has reportedly complied
                                   with Turkey’s request to delete data
                                   stored in Surveillance Giant Google
                                   Drive.


                            # ⚓ Venture Beat ☛ Oracle_Database_is_in_many
                              enterprises_and_now_it’s_in_Surveillance_Giant
                              Google_Cloud_too⠀⇛


                                   The Oracle Database@Google Cloud
                                   service is now generally available
                                   enabling Surveillance Giant Google
                                   users to bring AI, data analytics and
                                   other applications to Oracle data.


                # § Defence/Aggression⠀➾


                      # ⚓ JURIST ☛ UN_warns_of_escalating_humanitarian_crisis
                        in_Sudan_amid_ongoing_conflict⠀⇛


                             The United Nations issued a dire warning on
                             Sunday about the worsening crisis in Sudan,
                             emphasizing the devastating impact of ongoing
                             conflict and the inadequate international
                             response. Dr. Tedros Adhanom Ghebreyesus,
                             director-general of the World Health
                             Organization (WHO), reported that over 20,000
                             people have died since the conflict began in
                             April 2023.


                      # ⚓ Hong Kong Free Press ☛ China_to_train_3,000_overseas
                        police_officers_as_it_seeks_to_cement_role_as_global
                        security_provider⠀⇛


                             China will train thousands of law enforcement
                             officers from different countries over the
                             next 12 months, its police chief said Monday,
                             as it seeks to cement its role as a global
                             security provider.


                      # ⚓ New Yorker ☛ “In_the_Dark”_Reports_on_the_Lack_of
                        Accountability_for_a_U.S._War_Crime⠀⇛


                             The podcast investigates the events in
                             Haditha, Iraq, and compiles a database to
                             show the inherent problem of the military
                             judging its own members.


                      # ⚓ RFERL ☛ Heavy_Fighting_Breaks_Out_Again_On_Afghan-
                        Pakistan_Border⠀⇛


                             Fighting erupted again on September 9 between
                             Taliban forces and Pakistani security forces
                             in the Kurram-Khost border areas, with
                             eyewitnesses saying the violence includes
                             heavy weaponry and one elder saying a
                             Pakistani soldier had been killed, although
                             that could not be confirmed.


                      # ⚓ France24 ☛ Israeli_military_says_it_detained_UN
                        convoy_in_northern_Gaza_to_question_'Palestinian
                        suspects'⠀⇛


                             Israel's military has detained a United
                             Nations convoy in the northern Gaza Strip,
                             saying that it has intelligence that several
                             "Palestinian suspects" are in the vehicles. A
                             UN spokesperson said he was aware of an
                             "ongoing incident" and said that he was
                             trying to establish the facts.


                      # ⚓ RFERL ☛ Police_Block_Pakistani_Highway_Over_Military,
                        Intelligence_Meddling⠀⇛


                             Hundreds of policemen in northwestern
                             Pakistan were blocking the Indus Highway that
                             links Peshawar with the port city of Karachi
                             on September 9 to protest alleged
                             interference by Pakistan's military and its
                             intelligence agencies in their daily work.


                      # ⚓ France24 ☛ Israeli_airstrikes_kill_more_than_a_dozen
                        in_Syria,_state_media_says⠀⇛


                             Israeli air strikes on Syria's Masyaf region
                             late Sunday killed at least 16 people, Syrian
                             state media reported. The strikes, which
                             destroyed military facilities, wounded at
                             least 36 others, according to a local health
                             official cited by the SANA news agency. Iran
                             on Monday accused its regional arch-foe
                             Israel of carrying out what it called a
                             "criminal" act in central Syria.


                      # ⚓ New York Times ☛ Airstrikes_Hit_Syrian_City_Said_to
                        Be_a_Weapons_Research_Hub,_Killing_18⠀⇛


                             Syria accused Israel of carrying out the
                             attacks in and around Masyaf, where experts
                             say missiles and unconventional weapons are
                             developed. Israel did not comment.


                      # ⚓ The Straits Times ☛ North_Korea’s_Kim_Jong_Un_says
                        country_to_increase_number_of_nuclear_weapons:_KCNA⠀⇛


                             He gave a speech on North Korea’s founding
                             anniversary on Sept 9.


                      # ⚓ Semafor Inc ☛ To_woo_China,_Saudi_Arabia_may_accept
                        yuan_for_oil⠀⇛


                             Saudi Arabian officials expressed willingness
                             to accept the Chinese yuan as payment for
                             crude oil ahead of Premier Li Qiang’s visit
                             to the kingdom on Sept. 9, as Saudi seeks to
                             deepen ties with China to help its economy
                             diversify from oil.


                      # ⚓ New York Times ☛ Trump_Steps_Up_Threats_to_Imprison
                        Those_He_Sees_as_Foes⠀⇛


                             Over the past month, he has shared a post
                             calling for former President Barack Obama to
                             be subject to “military tribunals” and
                             reposted fake images of well-known Democrats
                             clad in prison garb. He has threatened the
                             Facebook founder Mark Zuckerberg with a life
                             sentence for helping state and local
                             governments fund elections in 2020. He stoked
                             fears of voter intimidation by urging police
                             officers to “watch for the voter fraud” at
                             polling places because some voters may be
                             “afraid of that badge,” and warned that
                             people deemed to have “cheated” in this
                             election “will be prosecuted to the fullest
                             extent of the law.”


                      # ⚓ Marcy Wheeler ☛ In_One_Week,_Trump_Suggests_He'll
                        Eliminate_Sanctions_on_Iran_and_Lies_about_Iran_Hack_to
                        Supporters⠀⇛


                             I’m interested in the response, generally,
                             because if there was a quo that Trump was
                             supposed to provide after Russia helped Trump
                             win in 2016, it was sanctions relief. Trump
                             went to some effort — with an attempt to
                             script Steve Bannon’s HPSCI testimony, Don
                             Jr’s refusal to testify before a grand jury,
                             Trump’s complete blow-off of a sanctions
                             question from Mueller, and the attempt to
                             reverse the Mike Flynn prosecution — to
                             prevent Mueller from substantiating that
                             Trump had taken steps to deliver that quo
                             before the Russian investigation became
                             overt.


                             Yet here he is again, suggesting he’ll end
                             sanctions on Russia during the election.


                             But I’m particularly interested in Trump’s
                             affirmative inclusion of Iran in the comment.


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


                            # ⚓ Meduza ☛ Maria_Lvova-Belova,_the_Russian
                              children’s_rights_commissioner_wanted_for_war
                              crimes,_reportedly_marries_monarchist_media
                              billionaire_—_Meduza⠀⇛


                            # ⚓ Meduza ☛ Ukraine_holds_its_ground_in_Russia’s
                              Kursk_region_as_defense_crisis_in_Donbas_grows_—
                              Meduza⠀⇛


                            # ⚓ RFERL ☛ Russian_Rapper_In_Exile_Under
                              Investigation⠀⇛


                                   Russian state media quoted sources in
                                   law enforcement over the weekend as
                                   saying that a probe was launched in
                                   absentia against rapper Morgenshtern
                                   (real name Alisher Valeyev) on a charge
                                   of failure to comply with Russia's
                                   "foreign agent" law.


                            # ⚓ RFERL ☛ Poland_Neutralizes_Sabotage_Group
                              Linked_To_Belarus,_Russia⠀⇛


                                   Polish security services have
                                   neutralized a sabotage operation
                                   orchestrated by Russia and Belarus that
                                   aimed to destabilize Poland, Deputy
                                   Prime Minister Krzysztof Gawkowski said
                                   on September 9.


                            # ⚓ RFERL ☛ Former_Siberian_Official_Sentenced_On
                              Corruption_Charge⠀⇛


                                   A court in the Russian city of Tomsk on
                                   September 9 sentenced the former
                                   governor of the Siberian Tomsk region,
                                   Dmitry Gurdin, to four years in prison
                                   on embezzlement charges.


                            # ⚓ New Yorker ☛ Russia’s_Espionage_War_in_the
                              Arctic⠀⇛


                                   For years, Russia has been using the
                                   Norwegian town of Kirkenes, which
                                   borders its nuclear stronghold, as a
                                   laboratory, testing intelligence
                                   operations there before replicating
                                   them across Europe.


                            # ⚓ Marcy Wheeler ☛ Discerning_Russian_Trolls
                              Appreciate_Truth_Social’s_Treatment_of_Fake
                              Accounts⠀⇛


                                   Deep in the Doppelganger dossier, it
                                   described that the social control media
                                   company of Candidate A -- Trump -
                                   - doesn't require Russian trolls to use
                                   perishable accounts to evade
                                   moderation.


                            # ⚓ RFERL ☛ U.S._Accuses_Laser_Tech_Salesman_Of
                              Illegal_Exports_To_Russia⠀⇛


                                   A former salesman for a manufacturer of
                                   laser welding machines was arrested on
                                   September 9 on charges that he
                                   conspired to evade U.S. export-control
                                   laws in order to sell his company's
                                   products to a division of the Russian
                                   state nuclear company Rosatom.


                            # ⚓ New York Times ☛ A_Tug_Between_Russia_and
                              Europe_Divides_Montenegro⠀⇛


                                   A falling-out between former political
                                   allies in Montenegro has complicated
                                   the country’s efforts to join the
                                   European Union and curb pro-Russian
                                   influence.


                            # ⚓ RFERL ☛ More_Belarusian_Activists_Go_On_Trial
                              Amid_Crackdown⠀⇛


                                   More Belarusian activists went on trial
                                   on September 9 on charges including
                                   allegations of support for a group
                                   called INeedHelpBy that assists
                                   political prisoners and their families.


                            # ⚓ RFERL ☛ Serbian_Deputy_PM_Meets_With_Shoigu_In
                              Moscow_To_Discuss_BRICS_Invite⠀⇛


                                   Serbian Deputy Prime Minister
                                   Aleksandar Vulin on September 9
                                   discussed the upcoming BRICS summit
                                   with Sergei Shoigu, formerly Russia's
                                   defense minister, who now serves as the
                                   secretary of the Security Council.


                            # ⚓ LRT ☛ Lithuania_calls_for_beefed_up_Baltics’
                              air_defence_after_Russia_drone_crashes_in
                              Latvia⠀⇛


                                   Lithuanian President Gitanas Nausėda
                                   has condemned violations of NATO
                                   airspace and called for strengthening
                                   air defence in the Baltic countries
                                   following the crash of a Russian
                                   military drone in Latvia on Saturday.


                            # ⚓ LRT ☛ Russia_war_symbols_appear_on_objects_in
                              Lithuania’s_Klaipėda⠀⇛


                                   Police in Lithuania’s port city of
                                   Klaipėda on Saturday received reports
                                   of Russia’s war symbol, the letter Z,
                                   having appeared on a number of objects.


                            # ⚓ Latvia ☛ Latvian_Defense_Ministry_statement_on
                              Russian_drone_incursion⠀⇛


                                   The full statement issued by the
                                   Latvian Ministry of Defense about the
                                   incursion of a Russian drone into
                                   Latvian airspace is reproduced below.
                                   The statement was issued on the
                                   afternoon of September 8, 2024,


                            # ⚓ Latvia ☛ Russian_drone_that_fell_in_Latvia_had
                              explosives_attached⠀⇛


                                   The Russian drone that fell in the
                                   Rēzekne region on Saturday, September
                                   7, was a "Shahed" type drone equipped
                                   with explosives, representatives of the
                                   National Armed Forces (NBS) said at a
                                   press conference Monday, September 9.


                            # ⚓ New York Times ☛ Russian_Forces_Capture_2
                              Villages_in_Eastern_Ukraine,_Analysis_Shows⠀⇛


                                   Russia appears to be trying to cut off
                                   Ukrainian soldiers around the strategic
                                   city of Pokrovsk, a focal point of the
                                   war in recent months.


                            # ⚓ CS Monitor ☛ Ukraine’s_push_into_Russia_did
                              wonders_for_morale._But_will_it_change_the_war?⠀⇛


                                   History will judge whether Ukraine’s
                                   bold incursion into Russian territory
                                   will pay off in military terms, but it
                                   has cheered the public mood.


                            # ⚓ RFERL ☛ EU_Hints_At_'Swift'_Response_Over_Iran
                              Missile_Supplies_To_Russia⠀⇛


                                   The European Union on September 9
                                   described as "credible" information
                                   provided by allies suggesting Iran has
                                   supplied short-range ballistic missiles
                                   to Russia to help Moscow wage war in
                                   Ukraine and hinted at a "swift"
                                   response.


                            # ⚓ RFERL ☛ Ukraine_Says_Overnight_Russian_Drone
                              Attack_On_Kyiv_Was_Fifth_This_Month⠀⇛


                                   The head of Ukraine's military
                                   administration in the capital said on
                                   September 9 that an overnight drone
                                   attack was Russia's fifth aerial
                                   assault on Kyiv this month.


                            # ⚓ RFERL ☛ UN_Rights_Commissioner_Decries_Dire
                              Path,_Highlighted_By_Afghan_And_Ukraine
                              Suffering⠀⇛


                                   UN rights chief Volker Turk launched a
                                   four-week session of the Human Rights
                                   Council with a call for global
                                   leadership to avert a "dystopian
                                   future," invoking urgent warnings about
                                   the treatment of women in Taliban-led
                                   Afghanistan and Ukrainians under near-
                                   constant Russian attack.


                            # ⚓ Scoop News Group ☛ Russian,_Kazakhstani_men
                              living_in_Miami_indicted_over_cybercrime_training
                              service⠀⇛


                                   The pair stand accused of administering
                                   WWH Club, a major Russian-language
                                   cybercrime marketplace.


                            # ⚓ LRT ☛ Lithuania_to_provide_€10m_to_Ukraine_for
                              purchase_of_long-range_weaponry⠀⇛


                                   Lithuania will provide 10 million euros
                                   to Ukraine for the acquisition of long-
                                   range weapons from its own
                                   manufacturers.


                            # ⚓ France24 ☛ EU_says_it_received_'credible'
                              reports_that_Iran_sent_ballistic_missiles_to
                              Russia⠀⇛


                                   The European Union is looking into
                                   "credible" reports from allies that
                                   Iran has supplied Russia with ballistic
                                   missiles to use in its war in Ukraine.
                                   Tehran has rejected the allegation
                                   while the US State Department warned
                                   that such a move would mark a "dramatic
                                   escalation" engendering "significant
                                   consequences".


                # § Environment⠀➾


                      # ⚓ The Revelator ☛ ‘The_Mountain_Wagtail’:_How_Pollution
                        and_Mining_Are_Destroying_Kyrgyzstan⠀⇛


                      # ⚓ DeSmog ☛ Inside_the_Anti-Climate_Culture_War_Led_by
                        Jordan_Peterson_and_Project_2025⠀⇛


                      # ⚓ Hong Kong Free Press ☛ Greenpeace_finds_microplastics
                        in_85%_of_wild_mammal_faeces_in_Hong_Kong⠀⇛


                             Polyethylene particles made up 47.9 per cent
                             of the particles found, while polypropylene
                             particles made up 36.6 per cent, the study
                             showed. The highest concentration of
                             microplastics was found in cattle, with a
                             median concentration of 65.5 microplastic
                             particles per gram of dry faeces in samples
                             found in Cheung Sha.


                      # ⚓ Jacobin Magazine ☛ Democrats_Don’t_Need_to_Back
                        Fracking_to_Win_Pennsylvania⠀⇛


                             Kamala Harris has come out against a fracking
                             ban, in line with the media narrative that
                             voters in the crucial swing state of
                             Pennsylvania love fracking. But public
                             support for the environmentally destructive
                             practice in the state is thin and on the
                             decline.


                      # ⚓ RFA ☛ Scores_killed_by_Asia’s_most_powerful_storm_of
                        the_year⠀⇛


                             Typhoon Yagi ripped through Vietnam after
                             leaving trail of destruction across the
                             Philippines and China .


                      # § Energy/Transportation⠀➾


                            # ⚓ New York Times ☛ Battery_Maker_Northvolt_to_Cut
                              Costs_as_E.V._Demand_Slumps_in_Europe⠀⇛


                                   The Swedish battery manufacturer said
                                   it would eliminate jobs and seek
                                   partnerships as it grappled with
                                   competition from China.


                            # ⚓ Hackaday ☛ Hard_Lessons_Learned_While_Building
                              A_Solar_RC_Plane⠀⇛


                                   Although not the first to try and build
                                   a DIY solar-powered remote control
                                   airplane, [ProjectAir]’s recent attempt
                                   is the most significant one in recent
                                   memory. It follows [rctestflight]’s
                                   multi-year saga with its v4 revision in
                                   2019, as well as 2022’s rather big one
                                   by [Bearospace]. With so many examples
                                   to look at, building a solar-powered RC
                                   airplane in 2024 should be a snap,
                                   surely?


                            # ⚓ H2 View ☛ Sungrow’s_alkaline_electrolyser
                              starts_operation_at_Chinese_chemical_park⠀⇛


                                   Sungrow Hydrogen has begun operating
                                   its alkaline electrolyser at the Shanxi
                                   Yulin Coal Chemical Industry base in
                                   China.


                            # ⚓ Science Alert ☛ Astronomer_Reveals_The_Dangers
                              of_SpaceX's_Polaris_Dawn_Mission⠀⇛


                                   "Now is a good time to assess."


                            # ⚓ Science Alert ☛ Boeing_Starliner_Returns_Home
                              With_No_Crew:_NASA_Expert_Explains_Why⠀⇛


                                   The latest developments.


                      # § Wildlife/Nature⠀➾


                            # ⚓ Science Alert ☛ Artists_Recorded_Haunting
                              Sounds_From_The_World's_Largest_Living_Thing⠀⇛


                                   The giant has something to say.


                            # ⚓ Science Alert ☛ Amazing_Footage_Shows_How_Eels
                              Escape_Death_After_Being_Swallowed⠀⇛


                                   We've never seen this before!


                            # ⚓ Science Alert ☛ US_Confirms_First_Human_Case_of
                              Bird_Flu_With_No_Known_Animal_Trace⠀⇛


                                   Here's what we know.


                            # ⚓ Science Alert ☛ Mass_Die-Off_in_Bats_Across_US
                              Linked_to_Over_1,000_Human_Infant_Deaths⠀⇛


                                   A catastrophe with deadly consequences.


                            # ⚓ Science Alert ☛ Stunning_Video_Shows_How_Much
                              Earth_Has_Changed_in_1.8_Billion_Years⠀⇛


                                   We've never looked so far back in time.


                      # § Overpopulation⠀➾


                            # ⚓ Atlantic Council ☛ Brazil_2050:_A_vision_for
                              global_food_security⠀⇛


                                   How can the world meet the growing
                                   demand for food while also adapting to
                                   climate change?


                            # ⚓ RFA ☛ To_raise_birth_rate,_North_Korea_punishes
                              abortion_doctors_and_contraceptive_sellers⠀⇛


                                   2 doctors who performed secret
                                   abortions were sentenced to prison.


                # § Finance⠀➾


                      # ⚓ Hong Kong Free Press ☛ Claims_against_Hong_Kong_gym
                        chain_Physical_Fitness_reach_HK$31m_as_8_personal
                        trainers_take_case_to_police⠀⇛


                             Hong Kong’s consumer watchdog has received
                             1,000 complaints with claims amounting to
                             about HK$31 million against gym chain
                             Physical Fitness, days after the company
                             announced a “temporary shutdown.” Physical
                             abruptly closed 23 fitness and health centres
                             across Hong Kong last Friday, blaming high
                             rents.


                      # ⚓ Latvia ☛ Inflation_was_0.7%_in_August_in_Latvia⠀⇛


                             The latest data published by the Central
                             Statistical Bureau (CSB) September 9 show
                             that in August 2024, compared to August 2023,
                             the average level of consumer prices in
                             Latvia increased by 0.7 %.


                      # ⚓ Federal News Network ☛ IRS_announces_$1.3B_recovered
                        from_high-income_wealthy_individuals_under_IRA
                        initiatives⠀⇛


                             The IRS is tapping into Inflation Reduction
                             Act funds to support these enforcement
                             efforts.


                      # ⚓ Hong Kong Free Press ☛ China_consumer_prices_reach_6-
                        month_high_in_August_but_fall_short_of_expectations⠀⇛


                             Chinese consumer inflation ticked up slightly
                             in August to a six-month high, official data
                             showed Monday, but the reading missed
                             expectations and did little to soothe worries
                             about sluggish spending in the world’s number
                             two economy.


                # § AstroTurf/Lobbying/Politics⠀➾


                      # ⚓ RFA ☛ EXPLAINED:_What_is_‘China_Week’_at_the_US
                        Congress?⠀⇛


                             American lawmakers have 28 China-related
                             bills they want to pass.


                      # ⚓ RFA ☛ China_slams_Germany’s_reported_plan_to_sail
                        through_Taiwan_Strait⠀⇛


                             China’s foreign ministry says it “firmly
                             opposes” attempts to provoke under the guise
                             of freedom of navigation.


                      # ⚓ RFA ☛ Xi’s_latest_message_to_North_Korea’s_Kim_hints
                        at_cooling_ties⠀⇛


                             It marked the Chinese president’s first
                             message to the North Korean leader since
                             January.


                      # ⚓ Marcy Wheeler ☛ Discerning_Russian_Trolls_Appreciate
                        Truth_Social's_Treatment_of_Fake_Accounts⠀⇛


                             But I was interested in the post for another
                             reason.


                             The most interesting details from the
                             Doppelganger dossier released with a takedown
                             request last week pertain to how the Russian
                             [astroturfers] described efforts by social
                             media companies to police inauthentic
                             content.


                      # ⚓ The Center for Investigative Reporting ☛ She_Ate_a
                        Poppy_Seed_Salad_Just_Before_Giving_Birth._Then_They
                        Took_Her_Baby_Away.⠀⇛


                             Horton didn’t realize that she would be drug
                             tested before her child’s birth. Or that the
                             poppy seeds in her salad could trigger a
                             positive result on a urine drug screen, the
                             quick test that hospitals often use to check
                             pregnant patients for illicit drugs. Many
                             common foods and medications—from antacids to
                             blood pressure and cold medicines—can prompt
                             erroneous results.


                      # ⚓ Federal News Network ☛ How_Labor_solved_its_IT
                        modernization_funding_puzzle⠀⇛


                             Another big change brought on by this
                             collaboration and coordination effort with
                             the budget office and lawmakers is Labor’s
                             annual IT modernization funding is now two-
                             year money. Previously, Labor’s funding would
                             expire in a year.


                             Ahluwalia said over the last three-plus years
                             since Labor received IT working capital fund
                             authority, it has turned its IT spending
                             around. When he got to Labor in 2016, the
                             agency spent about 90% of its now $939.1
                             million IT budget on operations and
                             maintenance (O&M) and 10% development,
                             modernization and enhancement (DME) projects.


                      # ⚓ The Strategist ☛ The_US_election_will_overturn
                        Europe’s_strategic_status_quo⠀⇛


                             With the US election just two months away,
                             European decision-makers have gone from
                             grappling with Trumpian nightmare
                             scenarios—new trade wars, abandoning Ukraine
                             and withdrawing from NATO—to experiencing an
                             emotion they had almost forgotten: hope.


                      # ⚓ The Kent Stater ☛ Kolya_Project_helps_war_refugees
                        find_a_home_in_Kent⠀⇛


                             The founders of the Kolya Project have helped
                             relocate war refugees from Ukraine to Kent
                             since the war between Russia and Ukraine
                             escalated in 2022.  Becky Gibson met Kolya
                             Koretskyy when her and her husband helped
                             sponsor him to enter the seminary in Ukraine.


                      # ⚓ Latvia ☛ Ambulances_arrive_in_Ukraine_from_Latvia⠀⇛


                             Any kind of support is important for Ukraine,
                             and especially ambulances that save
                             lives, representatives of the Ganta
                             Foundation told Latvian Television in
                             Ukraine. LTV met them in Kyiv, where another
                             convoy of ambulances had arrived from Latvia
                             and was handed over to the medics of the
                             Ukrainian Armed Forces.


                      # ⚓ Latvia ☛ Latvian_public_media_campaign_raises_EUR_334
                        thousand_for_Ukraine⠀⇛


                             In the charity campaign organized by the
                             public media - Latvian Television, Latvian
                             Radio, and the portal LSM.lv - in cooperation
                             with "Ziedot.lv", 334,733 euros have been
                             donated in three weeks to support Ukraine,
                             Latvian Television reports September 9.


                      # ⚓ Latvia ☛ Nearly_30,000_Ukrainians_have_turned_to
                        Latvian_employment_body_since_2022⠀⇛


                             This year the State Employment Agency has
                             already provided support to 3,700 Ukrainian
                             war refugees, the State Employment Agency
                             (NVA) told LETA September 8.


                      # ⚓ RFERL ☛ Two_More_Ex-Cons_Recruited_By_Wagner
                        Mercenary_Group_Sentenced_For_Murders⠀⇛


                             Two more former convicts recruited by the
                             Wagner mercenary group have been handed
                             lengthy prison terms for murders in Siberia.


                      # ⚓ RFERL ☛ Kremlin_'Not_Interested'_In_Granting
                        Interview_With_Putin_To_Reporter_Gershkovich⠀⇛


                             The Kremlin is currently "not interested" in
                             granting an interview with President Vladimir
                             Putin to Wall Street Journal reporter Evan
                             Gershkovich, Kremlin spokesman Dmitry Peskov
                             said on September 9.


                      # ⚓ Latvia ☛ 'Women,_Peace_and_Security_Agenda_in
                        Latvia’s_Defense_and_Internal_Affairs_Sectors'_seminar
                        upcoming⠀⇛


                             On September 11, the Latvian Ministry of
                             Foreign Affairs will host a one-day seminar
                             titled: “Women, Peace and Security Agenda in
                             Latvia’s Defense and Internal Affairs
                             Sectors”.


                      # ⚓ New York Times ☛ Harris_Said_She_Is_Ready_for_the
                        Debate⠀⇛


                             Also, the U.S. argued that Surveillance Giant
                             Google has an ad-tech monopoly. Here’s the
                             latest at the end of Monday.


                      # § Misinformation/Disinformation/Propaganda⠀➾


                            # ⚓ EDRI ☛ News_Impact_Summit:_Fighting_climate
                              misinformation⠀⇛


                                   Since 2014, the EJC has organised 36
                                   News Impact Summits. The Summits have
                                   inspired communities of journalists and
                                   media organisations in 29 cities in 20
                                   countries across Europe and the Middle
                                   East, featuring 400+ speakers from
                                   leading international news
                                   organisations.


                            # ⚓ EDRI ☛ Disinformation_&_Democracy_Conference
                              2024⠀⇛


                                   The conference seeks to address the
                                   critical issue of disinformation and
                                   its impact on democratic processes. It
                                   will bring together experts from the
                                   public sector, private industry,
                                   academia, and non-governmental
                                   organizations to discuss strategies for
                                   combating disinformation and enhancing
                                   strategic communication.


                            # ⚓ EDRI ☛ DisinfoCon_2024_–_Taking_stock_of
                              information_integrity_in_the_age_of_AI⠀⇛


                                   DisinfoCon is a forum for civil
                                   society, policymakers, journalists and
                                   Hey Hi (AI) practitioners to meet,
                                   exchange and align on a values-based
                                   approach to the Hey Hi (AI) revolution
                                   affecting our democracies.


                            # ⚓ EDRI ☛ Call_for_papers:_Cambridge
                              Disinformation_Summit_2025⠀⇛


                                   The 2025 Cambridge Disinformation
                                   Summit is designed to convene global
                                   thought leaders to discuss research
                                   regarding the efficacy of potential
                                   interventions to mitigate the harms
                                   from disinformation.


                            # ⚓ New Eastern Europe ☛ Russia_in_the_trenches_of
                              cognitive_warfare⠀⇛


                                   As Włodzimierz Bączkowski, one of the
                                   most astute Polish Sovietologists,
                                   noted in his 1938 article “Notes on the
                                   essence of Russian power”, the
                                   definition of war in Russia is much
                                   broader than in the West. Aware of the
                                   relative weakness of its army, Russia
                                   has always tried to bring it into play
                                   only in the final phase of a long
                                   process of preparing the ground for
                                   aggression through subversion and
                                   propaganda campaigns.


                            # ⚓ Press Gazette ☛ Online_overtakes_TV_as_biggest
                              source_of_news_in_UK_for_first_time⠀⇛


                                   It has now narrowly been overtaken by
                                   the internet, with 71% of adults
                                   getting news online in the past year.
                                   This is up from 68% last year and 64%
                                   in 2018 and has primarily been driven,
                                   Ofcom said, by the rise in people
                                   accessing news [sic] through social
                                   media.


                # § Censorship/Free Speech⠀➾


                      # ⚓ Michael Geist ☛ The_Law_Bytes_Podcast,_Episode_211:
                        Carlos_Affonso_Souza_on_the_Unprecedented_Brazilian
                        Court_Order_Blocking_Twitter/X_and_VPN_Use_to_Access
                        the_Service⠀⇛


                             The Law_Bytes_podcast is back with a deep
                             dive into a high profile case coming out of
                             Brazil, where Ex-Twitter or X has been under
                             a blocking order this month. Not only is the
                             service blocked, but individuals face
                             significant fines if they try to circumvent
                             the order to access the service by using a
                             VPN. The case raises many questions about
                             enforcing domestic laws, political and tech
                             power, and the impact on individual rights
                             and freedoms.


                      # ⚓ JURIST ☛ Former_Brazil_president_leads_‘free_speech’
                        rally_amid_X’s_suspension⠀⇛


                             Former President of Brazil Jair Bolsonaro led
                             a political rally on Saturday, Brazil’s
                             Independence Day, amid growing dissent over
                             the suspension of social control media
                             platform X (formerly Twitter) in the country.


                      # ⚓ El País ☛ The_‘torture’_of_Alexey_Soldatov,_the
                        father_of_the_Russian_Internet,_terminally_ill_and
                        imprisoned_without_a_bed⠀⇛


                             Although he was part of the government during
                             the Putin era as Deputy Minister of
                             Telecommunications (2008-2010) under
                             President Dmitry Medvedev, he did not rise
                             very far due to his opposition to creating a
                             vertical Russian Internet capable of
                             separating itself from the global one, on the
                             orders of the Kremlin. Finally, in 2019, he
                             was accused of alleged appropriation of
                             Internet domains by the head of the
                             presidential department for the Internet,
                             Andrei Lipov. The accuser would later be
                             promoted to head of the Internet censorship
                             agency, Roskomnadzor.


                             “I think my father’s case is related to the
                             policy of the Russian authorities to
                             nationalize the Internet infrastructure. I
                             think it has nothing to do with me,” says
                             Andrei Soldatov, a well-known investigative
                             journalist who lives in exile because he is
                             on the Kremlin’s wanted list.


                      # ⚓ Tor ☛ Artikel_5_e.V._-_Another_police_raid_in_Germany
                        -_general_assembly_on_Sep_21st_2024⠀⇛


                             These were once again one and a half hours
                             with armed police in a personal living room,
                             threatening to de-facto kill a livelihood and
                             software business (carrying a truckload
                             hardware away) of an non-profit board member
                             to force cooperation.


                             As a consequence, I am personally no longer
                             willing to provide my personal
                             address&office-space as registered address
                             for our non-profit/NGO as long as we risk
                             more raids by running exit nodes. That is a
                             risk I am just no longer willing to take
                             anymore.


                      # ⚓ RFA ☛ Whistleblowing_pandemic_journalist_Zhang_Zhan
                        back_in_detention⠀⇛


                             Sources say Zhang is at risk of further
                             prosecution, just 3 months after her release
                             from prison.


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


                      # ⚓ Hong Kong Free Press ☛ German_activist_and_HKU
                        journalism_grad_David_Missal says_Hong_Kong_denied_him
                        entry_despite_travelling_freely_to_China⠀⇛


                             An award-winning German journalist, activist
                             and University of Hong Kong (HKU) graduate
                             has said he was barred from entering the
                             city. David Missal said on X, formerly known
                             as Twitter, that he was denied entry on
                             Sunday evening: [...]


                      # ⚓ RFA ☛ Hong_Kong_turns_away_German_activist_as_US
                        warns_of_growing_risks⠀⇛


                             ‘I feel like Hong Kong is the same as
                             mainland China now, or it may be more
                             strict,’ says David Missal.


                      # ⚓ VOA News ☛ Turkey’s_media_regulator_says_journalists
                        on_YouTube_need_licenses ⠀⇛


                             A requirement by Turkey’s media regulator for
                             journalists on YouTube to have a broadcast
                             license is being criticized as a way for
                             authorities to more easily censor content.


                             In a TV interview earlier this month,
                             Ebubekir Sahin, the head of Turkey’s Radio
                             and Television Supreme Council, or RTUK, said
                             that a 2019 regulation means that all
                             broadcasts, including those on the internet,
                             “are under our supervision.”


                # § Civil Rights/Policing⠀➾


                      # ⚓ CS Monitor ☛ Afghan_women_sing_freedom⠀⇛


                             The Taliban’s harsh laws that even command
                             women not to sing at home have led many women
                             to sing on social control media – with a
                             melody of equality and dignity.


                      # ⚓ RFA ☛ EXCLUSIVE:_5_teenage_Tibetan_monks_attempt_to
                        take_own_lives⠀⇛


                             Five young Tibetan former monks who were
                             forced to leave their monastery by Chinese
                             officials and attend a local government-run
                             boarding school attempted to kill themselves
                             in early September, saying they found it
                             “unbearable” to stay in the school’s “prison-
                             like conditions,” people with knowledge of
                             the situation told Radio Free Asia.


                      # ⚓ Bridge Michigan ☛ As_US_Postal_Service_bleeds_money,
                        some_in_Michigan_will_drive_miles_for_mail⠀⇛


                             Stacer’s situation will become a bigger deal
                             on Oct. 16. That’s when the contract postal
                             service will close in his Washtenaw County
                             community, forcing him and 45 other neighbors
                             to make a 14-mile round trip to get their
                             mail from a post office in Northville.


                      # ⚓ JURIST ☛ HRW_criticizes_Malaysia’s_detention_of
                        children_in_refugee_centers⠀⇛


                             Malaysia’s Baitul Mahabbah initiative to move
                             children to dedicated refugee centers is no
                             different from detention and continues to
                             violate children’s rights, said Human Rights
                             Watch deputy Asia director Byrony Lau on
                             Monday. These centers were introduced by the
                             Malaysian government a year ago to move
                             children aged 10 and under from immigration
                             depots.


                # § Internet Policy/Net Neutrality⠀➾


                      # ⚓ EDRI ☛ Enforcing_the_European_Union’s_new_digital
                        platform_laws:_How_it_is_going_so_far⠀⇛


                             It’s already September and the European
                             Parliament’s summer break is officially over.
                             While the legislature was sleeping, the
                             European Union’s (EU) tech enforcers and
                             their counterparts—Big Tech lobbyists—have
                             been busy plotting their next moves.


                # § Digital Restrictions (DRM)⠀➾


                      # ⚓ Hackaday ☛ PC_Floppy_Copy_Protection:_Softguard
                        Superlok⠀⇛


                             Many have sought the holy grail of making
                             commercial media both readable and copy-
                             proof, especially once everyone began to copy
                             those floppies. One of these attempts to make
                             floppies copy-proof was Softguard’s Superlok.
                             This in-depth look at this copy protection
                             system by [GloriousCow] comes on the heels of
                             a part 1 that covers Formaster’s Copy-Lock.
                             Interestingly, Sierra switched from Copy-Lock
                             to Superlok for their DOS version of games
                             like King’s Quest, following the industry’s
                             quest in search of this holy grail.


            § Monopolies/Monopsonies⠀➾


                # ⚓ New York Times ☛ U.S._Argues_Surveillance_Giant_Google
                  Created_Ad_Tech_Monopoly⠀⇛


                       The tech giant went to court on Monday in a second
                       antitrust trial, this one focused on its dominance
                       in advertising technology software. The case could
                       reshape its business.


                # ⚓ New York Times ☛ Google’s_Legal_Scorecard_Before_New
                  Antitrust_Fight⠀⇛


                       How the tech giant has fared in its major legal
                       battles across the U.S. and Europe so far.


                # ⚓ New York Times ☛ Google’s_Ad_Technology_to_Be_Challenged_in
                  Second_Antitrust_Trial⠀⇛


                       In a second antitrust trial that starts on Monday,
                       the Justice Department has called for a breakup of
                       the tech giant, which it says controls the vast
                       majority of online advertising.


                # ⚓ Wired ☛ Google’s_Next_Antitrust_Trial_Could_Make_Online_Ads
                  Less_Annoying⠀⇛


                       The government contends that controlling
                       DoubleClick enabled Google to corner websites into
                       doing business with its other services. That has
                       resulted in Google allegedly monopolizing three big
                       links of a vital digital advertising supply chain,
                       which funnels over $12 billion in annual revenue to
                       websites and apps in the US alone.


                # § Patents⠀➾


                      # ⚓ Digital Music News ☛ Breaking:_Blue_Spike_and_Warner
                        Music_Settle_Their_Patent_Infringement_Battle_—_As_the
                        Blue_Spike-Universal_Music_Dispute_Rages_On⠀⇛


                             Warner Music Group (WMG) has hammered out a
                             settlement in the years-old patent monopoly
                             complaint filed against it by Blue Spike. But
                             the latter company’s separate legal action
                             against Universal Music Group (UMG) is still
                             in full swing. The WMG-Blue Spike settlement
                             came to light in a recent dismissal order
                             from the presiding judge.


                      # ⚓ Kluwer Patent Blog ☛ Brazil_–_Digital_Health_and
                        patent_monopoly_enforcement⠀⇛


                             Co-authored by Dara Offrede The first Over-
                             the-Counter Continuous Glucose Monitor (CGM)
                             ever cleared in the United Stated by the FDA
                             was launched by Dexcom.


                      # § Kangaroo Courts⠀➾


                            # ⚓ JUVE ☛ BSH_case_could_lead_to_greater
                              competition_among_patent_monopoly_courts [Ed:
                              Some of these are neither legal nor
                              constitutional; they constitute high-level
                              crime]⠀⇛


                                   The dispute between the German company
                                   BSH Hausgeräte and the Swedish company
                                   Electrolux is currently in its second
                                   round at the CJEU. The key question is
                                   whether a Swedish court can rule on the
                                   parts of a European patent monopoly
                                   that have not been validated for Sweden
                                   when it comes to invalidity arguments.


                      # § Software Patents⠀➾


                            # ⚓ Unified Patents ☛ IP_Investments_entity
                              DigiMedia_Tech_H.264/AVC_patent_monopoly_found
                              invalid⠀⇛


                                   On September 3, 2024, the Central
                                   Reexamination Unit (CRU) entered a
                                   notice of intent to issue a
                                   reexamination certificate canceling the
                                   challenged claims (claims 1-2, 4-5, and
                                   8-9) of U.S._Patent_6,606,287, owned by
                                   DigiMedia Tech, LLC, an NPE and an IP
                                   Investments_Group entity.


                # § Trademarks⠀➾


                      # ⚓ TTAB Blog ☛ TTABlog_Test:_Which_of_these_Three
                        Section_2(d)_Refusals_Was/Were_Reversed?⠀⇛


                             Here are three recent TTAB Decisions in
                             Section 2(d) appeals. At least one of the
                             appeals led to a reversal. How do you think
                             they came out?


                             In_re_Liberty_Orchards_Company._Inc, Serial
                             No. 97840459 (September 3, 2024) [not
                             precedential] (Opinion by Judge Catherine
                             Dugan O'Connor). [Section 2(d) refusal of
                             COCOZEN (Stylized) for "Coconut milk; coconut
                             milk for culinary purposes; coconut milk-
                             based beverages; dried coconuts; grated
                             coconut; coconut oil for food; coconut butter
                             for food; coconut chips; pressed fruit paste;
                             coconut, processed; condensed milk," in Class
                             29, and "coconut water; coconut-based
                             beverages not being milk substitutes, in
                             Class 32, in view of the registered mark
                             COCOZEN for "Dietary supplements."]


                # § Copyrights⠀➾


                      # ⚓ Digital Music News ☛ Verizon_Moves_to_Dismiss_Major
                        Label_Infringement_Litigation,_Calling_Entire_Action
                        ‘Legally_Deficient’⠀⇛


                             Verizon is now filing a motion to dismiss the
                             major labels’ infringement lawsuit, calling
                             the entire action ‘legally deficient.’


                      # ⚓ Digital Music News ☛ Major_Music_Publishers_Fire_Back
                        Against_Anthropic_Dismissal_Motion_in_High-Stakes
                        Infringement_Dispute⠀⇛


                             A little over a month out from the one-year
                             anniversary of its start, the copyright
                             monopoly suit levied by major music
                             publishers against Anthropic is heating up
                             amid the Hey Hi (AI) giant’s renewed push for
                             dismissal.


                      # ⚓ Digital Music News ☛ Today_in_Copyright_Lawsuits_—
                        APM_Sues_Johnson_&_Johnson_Over_‘Rampant_Copyright
                        Infringement’⠀⇛


                             Pharmaceutical company Johnson & Johnson is
                             being sued for ‘rampant copyright monopoly
                             infringement’ by production music house APM.


                      # ⚓ The Guardian UK ☛ White_Stripes_sue_Trump_over
                        ‘flagrant_misappropriation’_of_hit_song⠀⇛


                             The White Stripes’ Jack White and Meg White
                             have filed a lawsuit against Donald Trump for
                             what they allege is the “flagrant
                             misappropriation” of a recording of their hit
                             song Seven Nation Army in a campaign video.


                             In an Instagram post on Monday, Jack White
                             shared the first page of the lawsuit, filed
                             in court in New York, with the caption: “This
                             machine sues fascists.”


                      # ⚓ Torrent Freak ☛ Pirate_IPTV_Arrests_in_Sweden_Should
                        Include_Users,_Rightsholders_Tell_Govt.⠀⇛


                             Swedish anti-piracy group Rights Alliance has
                             just announced the prosecution of a man
                             allegedly behind pirate IPTV service 'Ghost
                             Farmer TV'. The case is one of several
                             initiated in Sweden in recent years but, for
                             rightsholders, a few prosecutions simply
                             isn't enough. Sweden's Justice Minister
                             considers calls from anti-piracy groups to
                             start going after subscribers premature. That
                             said, the government isn't ruling it out.


                      # ⚓ Torrent Freak ☛ Hollywood_and_Netflix_Report_Piracy
                        Threats_to_the_EU,_Call_for_'Intermediary'_Action⠀⇛


                             The Motion Picture Association (MPA) has
                             submitted its latest overview of piracy
                             threats to the European Commission. The
                             submission details many of the usual targets,
                             including torrent sites, streaming portals,
                             and piracy apps. The main theme, however,
                             concerns the role of third-party
                             intermediaries. According to the MPA, these
                             companies should take more responsibility,
                             whether they like it or not.




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