𝕿𝖊𝖈𝖍𝖗𝖎𝖌𝖍𝖙𝖘 Bulletin for Thursday, January 30, 2025
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Generated Fri 31 Jan 02:49:22 GMT 2025
Created by Dr. Roy Schestowitz (𝚛𝚘𝚢 (at) 𝚜𝚌𝚑𝚎𝚜𝚝𝚘𝚠𝚒𝚝𝚣 (dot) 𝚌𝚘𝚖)
Full hyperlinks for navigation omitted but are fully available in the originals
The corresponding HTML versions are at 𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈
Latest in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒕𝒙𝒕 and older bulletins can be found at 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒕𝒙𝒕-𝒂𝒓𝒄𝒉𝒊𝒗𝒆𝒔
Full IPFS index in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒊𝒑𝒇𝒔 and as plain text in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒊𝒑𝒇𝒔/𝒕𝒙𝒕
Gemini index for the day: gemini://gemini.techrights.org/2025/01/30/


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

QmbHjgPAAcGNUG9Sej4vSKhK8DfUYokfFkXLdKwr1JtGJG
QmdLsuRLzrwb58dZaSmJah6oCmNNZ6cW4ick4chqJmHjmY
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QmaoEDiALTYYZdaq3SQ86aQpMwUji1nqCeLbXAoszFRYvJ
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QmXZcp3rXLYa24pYd7jUu6sPDrhziRCNCok875WLJTLysP
QmUE7nd24kx2soZFbSYKDsb1ik1wpirFTRTBhDTj6w9sjh
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QmfSnnTnjcAe3YvtRsVgAwUJfpcEk1dM5J5yjJLyv7MxqM
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QmT3gTQRv33wEDtJveL8DiqiacGeRaxEbRFDUyVSJEAvDL
QmTs9qcwghZPs5oBh9qzsu8a11T4s6xHrJjVNyk5miFy3X
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QmQWSrGfeYwgf6HE9N3742DJrJwq8uNSCUAz469CnuUFGe
QmcgTTyseF5zFd4MLquM4PtJZzkFcBEqaUbqDe4eaUx6Na
QmZMEFKvpgvjxAcV9Pwu7yF74LYZwS7ktdLFdYb988Ncfu


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

⦿ Techrights  -  Another Slew of Fake Articles About 'Linux' and 'Security' From Brittany Day at linuxsecurity.com (Spamfarm/Slopfarm)

⦿ Techrights  -  Faking Revenue Increase by Buying Your Own Products and Services (Through Scams and Scammers Like Scam Altman)

⦿ Techrights  -  IBM: Many Thousands of Layoffs in 2025

⦿ Techrights  -  IRC Proceedings: Wednesday, January 29, 2025

⦿ Techrights  -  Jack M. Germain (LinuxInsider) Seems to Have Turned to LLM Slop, Graphics Slop, and B2B SPAM

⦿ Techrights  -  Microsoft Mass Layoffs Without Severance Pay Reported Hours After Microsoft Reported Weak Numbers and Microsoft Stock Fell

⦿ Techrights  -  Over at Tux Machines...

⦿ Techrights  -  The Free Software Foundation (FSF) Raised $422,000 (Another $22k in the Two Weeks After Campaign Ended), Proving That Truth and Justice Tend to Find a Way

 ䷼ Bulletin articles (as HTML) to comment on (requires login):
https://techrights.org/n/2025/01/30/Another_Slew_of_Fake_Articles_About_Linux_and_Security_From_Bri.shtml
https://techrights.org/n/2025/01/30/Faking_Revenue_Increase_by_Buying_Your_Own_Products_and_Service.shtml
https://techrights.org/n/2025/01/30/IBM_Many_Thousands_of_Layoffs_in_2025.shtml
https://techrights.org/n/2025/01/30/IRC_Proceedings_Wednesday_January_29_2025.shtml
https://techrights.org/n/2025/01/30/Jack_M_Germain_LinuxInsider_Seems_to_Have_Turned_to_LLM_Slop_Gr.shtml
https://techrights.org/n/2025/01/30/Microsoft_Mass_Layoffs_Without_Severance_Pay_Reported_Hours_Aft.shtml
https://techrights.org/n/2025/01/30/Over_at_Tux_Machines.shtml
https://techrights.org/n/2025/01/30/The_Free_Software_Foundation_FSF_Raised_422_000_Another_22k_in_.shtml

 ䷞ Followed by Daily Links (assorted news picks curated and categorised):
https://techrights.org/n/2025/01/30/Gemini_Links_30_01_2025_Action_vs_Inaction_Gopherholes_and_More.shtml
https://techrights.org/n/2025/01/30/Gemini_Links_30_01_2025_Chaos_Reigns_E_mail_Searching.shtml
https://techrights.org/n/2025/01/30/Links_30_01_2025_Amazon_Layoffs_and_DeepSeek_Panic.shtml
https://techrights.org/n/2025/01/30/Links_30_01_2025_Fentanylware_TikTok_Causes_Deaths_FBI_Seizes_D.shtml
https://techrights.org/n/2025/01/30/Links_30_01_2025_Microsoft_Wants_Convicted_Felon_to_Give_Fentan.shtml

                    ䷩ 𝚕𝚒𝚗𝚎 72

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/01/30/Another_Slew_of_Fake_Articles_About_Linux_and_Security_From_Bri.shtml
    Gemini version at https://techrights.org/n/2025/01/30/Another_Slew_of_Fake_Articles_About_Linux_and_Security_From_Bri.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Another Slew of Fake Articles About 'Linux'
and 'Security' From Brittany Day at linuxsecurity.com (Spamfarm/
Slopfarm)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jan 30, 2025,
updated Jan 30, 2025


Some days ago real sites covered_real_news_about_Deepin_Linux. Days later the
plagiarists and Serial Sloppers from linuxsecurity.com 'had a go' with what
seems like plagiarism in disguise of "hey hi" (AI):


 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Security_Considerations_When_Transitioning_from_Windows_to
                               Deepin_25_Linux⦈_


The text is deemed 100% ripoff/botspew:


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


On the same day there was only one other 'article', a fake 'article', Search
Engine-Optimised (SEO) for "linux" and "security": (as usual)


   🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Enhancing_Security_with_AMDGPU_Updates_in_Linux_6.14⦈_


Of course this one too is LLM slop:


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


linuxsecurity.com is basically a pariah and parasite. It lessens the incentive
to write real articles about "Linux" by generating fake ones to outrank the
originals. █




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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⡇⡈⠀⢀⣀⣈⠉⣉⠹⣿⣽⣿⣿⣾⣿⡿⠿⠿⠛⠂⣀⣰⣿⣦⣀⠗⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠠⠠⠁⠭⠀⠀⠉⠀⠈⠉⠍⠁⠉⠀⠀⠀⠀⠀⠀⠉⠁⠈⠁⠀⠀⣀⡄⣄⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣛⣛⣻⣻⣤⣴⡶⠀⠀⣀⠀⠀⠀⣶⣶⣖⣶⣶⠄⠀⠀⠀⠀⢼⠒⠐⣟⣼⣟⣃⣂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣷⣶⣶⣶⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣾⣶⣿⣿⣿⣿⣿⣷⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀
⣿⣿⣿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢻⣿⣿⣿⠀
⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣬⣉⣇⣋⣙⣉⣏⣍⣉⣉⣉⣏⣩⣅⣏⣴⣉⣩⣩⣩⣹⣫⣉⣽⣹⣍⣍⣉⣉⣹⣭⣹⣩⣍⣉⣩⣩⣯⣩⣩⣹⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣝⣉⣉⣏⣙⣹⣙⣝⣹⣩⣉⣛⣉⣹⣋⣙⣋⣯⣉⣹⣍⣉⣩⣋⣙⡹⣯⣝⣹⣉⣹⣛⣹⣩⣏⣙⣉⣫⣉⣻⣉⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠿⠛⠟⢛⣛⠛⠛⣻⠛⢻⢛⡛⠛⠛⡛⡛⡏⢛⡛⠛⢻⢛⠛⢛⠛⠛⢛⣛⠛⠛⡛⠛⣻⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠿⠿⢿⠿⠿⠿⠿⣿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠚⠓⠛⠓⠚⠛⠒⠛⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠚⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⣁⣤⣤⣄⡈⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⣼⣿⣿⢿⣿⣿⣆⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣯⣼⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠙⢿⣿⣿⣿⠿⠃⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⡏⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⣻⠛⠛⣟⠛⠛⠻⡟⠛⠛⠛⠻⠛⢻⠛⠟⠟⠻⠛⡟⠛⠟⣿⣿
⣿⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠓⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣼⣩⣭⣭⣭⣬⣥⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠤⠤⠤⠤⠤⠤⡤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⢤⣤⣤⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿
⣿⣤⣤⣤⣤⣤⣤⣧⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣴⣮⣶⣤⣤⣤⣤⣴⣬⣤⣥⣤⣤⣤⣤⣧⣧⣤⣿⣿⣿⣿⣿⣿
⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⡿⢿⢿⠿⣿⠿⡿⠿⢿⠿⠿⡿⢿⠿⢿⠿⡿⢿⣿⣿⣿⣿
⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠾⠿⠷⠷⠾⠶⠶⠿⡶⠷⡷⠾⣶⢶⢿⠾⠶⠾⢾⡾⡾⠿⣿⣿⣿
⣿⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠶⠿⡿⠾⡾⢿⢷⠿⠾⠿⡿⠶⠿⡿⢾⣾⣿⣷⣿⣷⣿⣷⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣬⣍⡉⣿⣿⣛⣉⣉⣙⣜⣯⣯⣯⣝⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡇⣚⡟⣯⡇⡏⡿⡝⡏⡏⡟⣽⢺⣿⡝⣫⣫⣿⣘⠟⣝⡟⣽⢹⢹⢹⡇⡏⣭⠹⣽⡍⡛⣽⢨⢸⢸⢹⣿⢧⢹⣧⢻⢸⡇⡧⡉⣾⢾⡆⣪⡇⡇⣿⡇⣿⢸⢹⢹⢫⢸⢫⢫⢸⢫⣛⡩⣿⢸⢹⢹⣿⣿⣿⣿
⣿⣿⣿⣷⣶⣶⣶⣶⣶⣾⣶⣷⣷⣿⣾⣶⣶⣶⣵⣾⣿⣶⣿⣾⣷⣾⣷⣶⣶⣷⣾⣮⣿⣿⣷⣷⣷⣾⣾⣾⣾⣷⣾⣶⣾⣾⣶⣶⣾⣿⣷⣿⣶⣿⣷⣾⣿⣿⣶⣿⣴⣾⣷⣾⣶⣾⣾⣷⣷⣾⣿⣾⣶⣶⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⢺⢫⢻⢻⢹⡙⣽⡏⡞⣿⣿⢸⠿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣾⣾⣾⣾⣷⣾⣿⣾⣷⣿⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠏⢘⡀⠉⣹⣿⣏⣏⣯⣝⣉⡙⣽⣯⣭⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣯⣯⣽⣫⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣷⣿⣿⣞⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠭⠉⠉⠉⠩⠟⣛⣻⣿⠍⢉⣉⣍⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣟⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢀⣤⠼⣿⣿⣿⠀⣿⣷⣿⣧⠘⣿⡟⣻⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⡹⣯⣯⣿⣭⣭⣯⣯⣭⣿⣿⣭⣿⣿⡭⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⠴⢷⣾⣿⣿⢻⣾⡆⢸⣷⠿⠟⠒⠛⢿⣯⣟⣿⣿⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⣶⣾⣿⣷⣿⣶⡿⣿⣾⣶⣷⣷⣷⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣤⣽⣼⣿⣿⣧⣬⣷⣯⣥⣤⣤⣤⣤⣤⣼⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡇⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿
⣿⣿⣿⡇⠈⠀⡰⣠⡀⡄⢀⢀⠀⡀⠀⣀⠀⡀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿
⣿⣿⣿⡇⠀⠐⠓⠸⠃⠉⠉⠀⠉⠊⠙⠛⠋⠉⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿
⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠧⠤⣿⣿⣿⣿
⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠀⠀⠀⢀⣰⣠⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿
⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠐⠄⠀⠂⠈⣛⡛⡁⠰⠒⡲⠾⣿⠟⠲⢤⡄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿
⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠐⠁⠃⠄⠀⠐⠀⠀⠀⠀⠀⠰⣎⠁⣀⣂⣀⠆⠈⠁⠂⠖⣐⠙⠖⣀⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿
⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡈⠊⠀⠀⠈⠐⠠⠀⠀⠡⢐⠠⢀⠀⠀⠀⠀⠀⣿⣿⣿⣿
⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠈⠂⠀⠀⠀⢠⠰⠀⠀⡀⠨⢑⠢⠌⡀⠈⠒⠄⠀⠀⣿⣿⣿⣿
⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡂⠀⠀⠀⣑⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠁⠂⠄⡀⠀⣿⣿⣿⣿
⣿⣿⣿⡇⠀⠀⠀⠀⠀⠐⠒⠒⠊⠁⠀⠀⠀⠀⡀⠀⠀⠄⠀⠀⡀⠀⠀⠁⠀⠉⠀⠀⠀⠄⡐⠠⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠠⠠⠀⠀⠀⠀⠂⡀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿
⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡂⠀⠀⠀⠐⠀⢀⠀⡀⠀⠄⠀⠁⢄⢐⡀⠀⠁⠀⠀⠠⢥⠀⠀⠀⠄⡀⠀⠈⠁⠀⠀⠁⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠂⠀⠀⠀⠀⣿⣿⣿⣿
⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠈⠀⠀⠀⠀⢀⣀⣤⣤⣀⠁⢀⠄⡀⠁⠀⡈⠀⠀⠲⠀⠀⡁⠀⠠⢀⠀⠠⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠂⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿
⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠰⡷⠿⠛⠛⠋⠁⠄⠈⠂⠀⠀⠈⠀⠀⠀⠀⠁⡂⠀⠀⠀⠀⠀⠀⠉⠒⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿
⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠈⠀⠀⠀⡀⠀⠀⠀⠀⠠⠈⠑⠂⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢤⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿
⣿⣿⣿⡇⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⣀⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠦⠀⠀⠀⠰⢀⠃⠀⠐⠂⠁⠀⠀⠂⠤⠀⠀⠀⠀⠀⠃⠁⠀⠰⣀⡬⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠒⣿⣿⣿⣿
⣿⣿⣿⡇⠀⢀⠀⢠⡖⠈⠁⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠘⠶⡄⠙⠃⠀⠀⠀⠀⠀⠀⠀⢀⡀⡄⢶⣚⣤⣴⣾⣧⠍⠁⠀⠀⠀⠀⣒⣦⠤⠂⠀⠀⠀⠀⠀⣿⣿⣿⣿
⣿⣿⣿⡇⠀⠀⠑⠁⠀⠤⠴⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠃⡄⠀⠀⢀⣀⠰⠶⡚⠬⢶⠾⠛⠋⠀⠘⠋⠁⠀⠀⢠⣤⣶⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿
⣿⣿⣿⡇⠈⠉⠉⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣶⣶⣶⣶⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿
⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣄⣁⣀⣨⣂⣿⣆⡕⢸⣗⣀⣃⣰⣇⣰⢡⣀⣆⣀⣁⣰⣀⣸⣇⣀⣈⣒⣟⣀⣆⣸⣿⣿⣿⣥⣥⣬⣭⣿⣤⣥⣿⣿⣿⣿⣿⣿⣿⠿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣬⣧⣮⣦⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣛
⣿⡟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡷⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠾⢿⣿⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡧⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⢤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣧⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣠⣶⣿⣿⣶⣄⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⢸⣿⣿⠏⣿⣿⣿⡆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡏⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⣿⣿⣿⣿⣿⣿⠃⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡗⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡈⠙⠛⠛⠋⢁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡷⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⢶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡧⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠼⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣧⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣽⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣧⣴⣼⣂⣄⣀⣼⣀⣀⣀⣀⣀⣂⣧⣦⣼⣤⣤⣧⣤⣤⣿⣿⣿
⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⡟⠛⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⣉⣋⣹⣙⣋⣛⣙⣙⢛⣋⡙⢛⣛⣛⣋⣛⣉⠭⣿⣿⣿⣿⣿⣿⣿
⣿⡏⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠚⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣬⣯⣽⣭⣭⣽⣭⣭⣿⣽⣭⣯⣭⣼⣭⣭⣯⣭⣧⣭⣿⣿⣿⣿⣿
⣿⡗⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⢲⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣤⣥⣦⣤⣥⣧⣬⣭⣤⣬⣭⣼⣤⣯⣯⣤⣭⣵⣬⣥⣬⣽⣿⣿⣿
⣿⡷⠶⠶⠶⠶⠶⠶⢶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣼⣴⣼⣥⣷⣧⣶⣼⣴⣤⣷⣶⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡧⠤⠤⠤⠤⠤⠤⠼⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣧⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣇⣀⣀⣀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⢿⠿⠿⠿⢿⠿⠿⢿⢿⢿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡏⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⣤⣼⣤⣤⣤⣦⣤⣤⣼⣼⣶⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣭⣭⣭⡍⠉⠉⠉⠉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣪⣽⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡷⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣭⣭⣭⣥⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡧⠤⠤⠤⠤⠤⠤⠤⠤⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣿⣿
⣿⣧⣤⣤⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 245

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/01/30/Faking_Revenue_Increase_by_Buying_Your_Own_Products_and_Service.shtml
    Gemini version at https://techrights.org/n/2025/01/30/Faking_Revenue_Increase_by_Buying_Your_Own_Products_and_Service.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Faking Revenue Increase by Buying Your Own
Products and Services (Through Scams and Scammers Like Scam
Altman)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jan 30, 2025


Context: Microsoft_Mass_Layoffs_Without_Severance_Pay_Reported_Hours_After
Microsoft_Reported_Weak_Numbers_and_Microsoft_Stock_Fell | FTC_Realises
Microsoft_Buying_Fake_'Clients'_to_Fake_"Revenue"_(Microsoft_'Buying'_Services
and_Products_From_Itself!)


  🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇I_have_a_superpower,_I_pay_some_guy_to_pay_me_any_time_I
                          need_to_boost_my_revenue⦈_


We've not yet found publishers willing to 'courageously' report what goes on at
Microsoft, why morale inside the company is so poor, and so far this month two
waves of mass layoffs were reported, not even just one (as_usual).


Perhaps because today's media is a lot of LLM slop and [company] says (or
[person] says) nobody is willing to actually investigate or invest in fact-
finding. As a result, out of laziness or perceived legal safety, a lot of the
media participates in cover-up or - yet worse - it's perpetuating lies and
promoting a_pyramid_scheme.


Is this what society deserves? Media that instead of exposing corruption has
chosen to participate in it and profit from it? █




⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣶⣿⣧⣿⡿⠂⠀⠀⠀⠀⠀⠀⠘⠻⠿⠷⠀⠀⠀⠀⠀⠀⠚⠠⠙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠾⡋⠫⡀⠀⠀⠀⢀⣀⣶⡀⣿⡀⣼⡀⣀⡿⢀⣰⡟⣽⣿⣶⡦⠄⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣼⣧⣿⠀⠀⠈⠀⠄⠀⠀⠀⠀⠀⠀⠂⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠊⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠓⠀⠀⢀⡀⡴⢸⣦⣾⢻⠟⢩⡛⢹⡿⢩⣿⡁⣴⡿⢸⣿⠋⢠⣾⣿⠿⣖
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⣶⣤⣴⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⢤⣿⣿⣿⣿⣿⣿⣿⣿⡿⢯⡀⠁⠀⡀⢰⠀⠇⡏⣹⢸⢇⡖⣴⢆⡴⢣⣤⠿⣿⣾⣿⣿⣿⣿⣷⣿⣿⢁⣾⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡏⣇⠀⠀⠀⠀⢀⣤⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠋⠢⣀⣚⣶⡔⡇⢠⠠⡆⢇⠳⡘⠄⠛⠙⠏⠇⢿⢱⣟⢋⣤⣾⡿⠿⢋⣽⣿⡿⣻⣿⡁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⡄⣰⣿⣿⣿⣿⣿⣿⣿⡉⢲⣾⣿⣻⠊⣀⢹⡸⠦⠙⠀⣁⣴⠒⡇⣸⡆⠀⠒⠀⠣⠸⢿⡟⣵⣶⡿⠛⢋⣴⣿⣿⢇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣲⠀⣀⣾⡿⠛⠛⠛⠙⠛⠛⢿⡛⠉⠀⠀⠀⠀⠉⠙⢧⣿⣿⣿⣿⣿⣿⣿⡁⣬⣟⣿⠛⣀⠱⣙⠦⠉⢲⣦⡗⡇⣹⢸⣡⣾⠀⠀⠀⠀⠀⠀⠀⠃⠻⡟⢠⣾⡿⠛⠋⣡⣾
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⠀⠀⢹⣿⣇⣹⠟⠀⠀⠀⠀⠀⠀⠀⣬⣅⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⡏⢛⢿⣿⡏⢹⡆⠙⢦⣌⣽⡆⢸⣏⣇⣧⡷⠿⠉⠁⠀⠀⣶⣶⣶⠀⣶⣶⣦⠁⠘⡿⢀⣶⣿⡟⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⣀⣤⣽⣿⣿⣷⡀⠀⠀⠀⠀⠀⣠⣿⣿⣦⣄⣀⣀⣠⣴⣿⣿⣿⣿⣿⣿⠃⣸⣾⣾⡃⣷⣈⠛⠿⣶⡏⠉⠁⢸⣿⠟⠋⠁⠀⠀⠀⠀⢠⣿⣿⣯⢀⣽⣿⣯⠀⠀⢈⣘⣿⠃⣴⠿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠉⠛⢻⠿⢿⣿⣿⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠈⠛⢟⠻⣾⣿⣿⠙⣷⣬⣛⢷⣶⣿⣷⣶⡆⠈⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠈⠛⠛⠛⠀⠀⠈⠉⠉⠂⢿⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡠⠃⠀⠋⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢣⡀⠀⠉⠻⢿⢿⣆⣈⠉⣿⣾⣿⣿⡏⠉⠁⠀⠀⠀⠀⣀⣬⣴⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠀⠀⢰⠀⠘⢿⣿⣿⣿⣿⢿⣷⣄⣀⠴⠿⠿⠿⢿⣿⣿⠁⠀⢣⠀⠀⠀⠀⠈⠛⠿⣟⣿⣿⣿⣿⣧⣤⡀⠰⠾⠛⠋⠉⠉⠀⠀⠀⠀⣤⣤⡤⠀⠀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀
⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠀⠀⠀⠀⡄⠀⠀⠀⠙⠻⣿⣤⠀⠀⢀⠀⠀⠤⢶⡿⠾⠛⠃⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⢈⣿⠿⢿⣿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠛⣛⡀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠘⡿⠇⠀⠀⠀⠀⢀⣀⣤⣄⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠘⣷⢸⣿⠑⣿⣇⣿⡇⣿⣿⢸⣿⣾⡏⣿⣛⠀⢸⣿⣿⢀⣼⣿⡿⠇⣿⢿⣿⣿⡟⣿⢸⣟⡃⣿⣻⣷⣿⡟⣿⣾⡏⣿⢸⣧⣿⡇⣿⢿⣿⡛⣿⣟⣿⢀
⢈⠡⣶⣦⣤⣶⣿⣿⣿⣿⣿⣷⡀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣠⣿⡟⣿⢻⣿⣿⡏⣿⣿⡇⣿⣛⠀⢸⣯⣿⣾⣧⣽⣿⡆⣿⣸⣿⣿⡟⠋⢸⣟⡃⣿⢹⣷⣿⡟⠋⣿⡇⣿⢸⣿⡿⣿⣿⢸⣿⣋⣿⡟⣷⢹
⣫⣴⣿⣿⣿⣿⣿⣿⡿⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠉⠛⠃⠛⠚⠛⣛⣃⡛⠛⠀⠛⠛⠀⠙⢃⣿⣷⣿⣟⣛⣵⣽⣿⣷⣟⠃⠀⠘⠛⠃⠛⠘⠋⠛⠃⠀⢬⣛⣋⡀⣛⣣⡟⢛⣘⣛⣿⣿⣷⣿⣄
⣿⢻⣿⡟⣷⠿⣿⣿⣾⣶⣶⠂⠀⢂⡔⠀⠀⠀⠀⠀⠀⠶⣶⣶⠄⠀⠀⠒⠒⠖⠒⠛⠛⢻⣗⣶⣶⣶⣶⠖⠀⢠⣮⣿⣿⡏⠙⡍⢿⡉⠻⢭⣀⣶⣶⣶⣶⣶⠂⠀⠀⠀⠀⠈⠉⠉⠉⠙⠉⣷⣶⣶⠟⠉⢉⣽⣿⣿
⢩⣴⠻⢧⣾⣶⣿⣿⣿⣿⡏⠀⠙⠛⠁⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠙⠛⢿⣷⣼⣿⡗⠹⡁⠰⣄⠙⠦⣭⣷⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠁⣿⣷⣿⡿⠿⠿
⢈⣙⠀⠀⢸⠀⣿⠇⢸⡅⣷⠀⠀⠀⠀⠀⠀⠀⠠⣴⣶⣶⣤⣄⣠⣶⣦⣤⣤⠀⠀⠀⠀⢠⣤⣤⣤⣄⣤⣏⢻⠻⡏⠸⣿⣤⣈⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡶⣿⡷⠦⠀⠀⠀⠀⠀⠀⢻⡿⠉⣤⣤⣾
⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⣠⣄⣀⣤⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠓⠶⣯⣙⠻⢿⣿⣿⡄⢿⣤⣀⣉⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢸⣿⡿⠟
⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡄⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣤⣀⡉⠱⠴⠬⠙⢷⣶⣮⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⣺
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⢰⣿⡿⠛⠉⠛⠛⠛⠻⣿⣿⡿⠟⠛⠉⠉⠁⠀⠀⠀⢀⡀⠈⠉⠒⢄⡀⠐⠦⣈⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣤⣤⣤⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⠟⠁⠀⠀⠀⠀⠀⠀⠨⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⡛⠦⠀⠀⠀⠀⠀⠉⠛⠮⡉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘
⠄⢹⡿⣿⣿⣿⣿⣿⣿⣿⡿⢛⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⣼⣿⡆⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⡿⠠⠄⠃⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⡿⠿⡿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⠂⠀⢸
⠀⠀⢈⣿⣿⣿⣿⣿⣿⢟⢷⢫⠙⢿⣿⣿⣶⣤⣤⣤⣴⣾⣿⣿⣿⣄⣀⣀⣀⣤⣤⡄⠹⣟⣧⣁⢸⣿⠉⣿⣿⣿⣿⢿⡿⠀⢿⣟⢸⣿⡇⣿⣿⣿⣿⣏⢠⣿⣿⢸⣿⡏⣷⡏⠈⣿⡏⣿⣿⠀⠀⠀⠛⠛⠋⠁⠀⠀
⠀⠀⠀⠐⠛⣛⣛⡿⠛⠁⡾⣇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠈⠋⠘⠸⠿⠘⣿⣶⡿⠿⠼⠇⠀⠿⠿⠸⠿⣧⣿⣿⢿⠿⢶⣞⡿⠿⡸⠿⢇⠿⠇⠀⠿⠇⠿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠚⡂⠀⠠⠶⠶⠋⠊⠀⢠⢿⠙⠀⠈⣿⣿⣿⣟⣭⣿⣿⣍⠛⠿⠟⣹⣿⣮⡉⠛⠁⠀⠀⠀⠀⠀⠀⣤⣼⣿⣿⣿⣤⡄⢠⣤⣤⣤⣤⠍⢩⣭⣻⣯⣭⣭⣭⠟⣭⡭⣭⣭⣭⣤⡄⣤⠄⢠⡄⠀⠀⠀⠀⢸⡇⠀⠀⠀
⣾⣶⡆⢀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⣾⣿⣿⣿⣭⣝⣛⣛⣒⢶⣚⣛⣫⣤⣶⡿⠀⠀⠀⠀⠀⣠⣶⣿⡟⣻⣿⡏⣿⠀⢸⣿⣿⣿⣿⡂⢸⣿⣿⣿⣿⢸⡟⢸⢸⡇⣿⣿⣿⣿⡇⣿⡂⢸⡇⠀⠀⠀⠀⢸⠁⠀⠀⠀
⣼⣶⠖⠁⠀⠀⠀⠀⢰⠇⠀⠆⠀⠀⢸⡆⠙⣿⣿⣿⣿⣿⠻⠟⢛⣿⣿⣿⠟⠀⠀⠀⠀⠀⠾⠿⠿⡭⠵⠯⠭⠥⣿⠆⠈⠉⠉⠉⠉⠁⠉⠉⠉⠁⠉⢮⠵⠾⠮⠥⠭⠭⠉⠉⠁⠉⠁⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡾⠃⠀⠀⠀⠀⠀⢀⣷⠀⡐⠈⠀⠀⢿⣿⡄⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⡏⢹⣿⡇⣿⣻⣟⣻⡟⣿⠙⢻⡟⣿⣿⡆⢻⣿⡇⣿⣿⢸⣿⡗⣿⡛⢻⡟⠁⣿⣿⣿⢹⣾⠃⢿⣿⡇⣿⣻⣧⣿⣿⡋⣿⣿⢸⣿⡇⣿⡃
⠀⠀⠀⠀⠀⠀⠀⣾⠍⠀⡀⠀⠀⠀⠸⣿⣆⠀⠀⠈⠛⠻⠿⠿⠟⠛⠋⠀⠸⠿⠇⠿⠼⠿⠼⠧⠿⡠⠸⠇⠿⠿⠃⠾⠿⠏⠿⠿⠸⠿⠇⠿⠿⠸⠇⠀⠿⠿⠿⠸⠟⠀⠼⠿⠇⠿⠄⠿⠇⠿⠤⠿⠿⠸⠿⠇⠿⠄
⣋⣀⣀⣀⣀⣀⣀⣀⣑⣋⣀⣀⣀⣀⣀⣿⣿⣷⣦⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣻⣿⣿⣾⣃⡀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠻⠾⠿⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⠧⠄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣹⣿⢷⡄⠦⡀⢦⡑⢦⡑
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣴⣶⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡘⢯⠻⣆⠳⣆⡩⠤⠐⠂⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⢻⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠐⠀⠣⠘⢶⡘⠏⠀⠀⠀⠀⠀⠐
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠁⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡠⠶⠘⠃⠛⠉⠁⠀⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠉⣀⣼⣿⠋⢖⠀⢿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢢⡈⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠁⠀⠒⠻⣿⣿⣿⣿⣮⡁⠈⣿⣿⣿⣏⢩⣄⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⢀⣴⣶⣤⣶⣾⣿⠛⠻⣿⡿⠇⠀⠘⢿⣿⣷⣾⡛⠂⠘⠘⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠻⠀⠀⠀⣿⠋⠁⠁⠀⠀⣘⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡇⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⣼⣿⣿⠟⠛⠉⢱⠟⠁⠀⠀⡀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⣀⣻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠅⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⡤⠿⠿⠆⠂⠀⣀⡔⡡⣶⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢀⠔⠀⠀⢰⠃⠀⠀⠀⠀⠀⠸⠋⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⣰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⡿⠋⣰⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⠿⠏⠀⠀⠉⡟⢀⣬⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⣠⣤⡄⠀⠀⠀⠀⠒⢶⠶⣶⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠉⠀⠀⠀⡠⠞⢣⣾⣿⣯⠴⠒⢾⣿⠇⠀⠀⠀⠀⠀⠀⢠⠖⠈⠀⠀⠀⠀⠙⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 335

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

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⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ IBM: Many Thousands of Layoffs in
2025⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jan 30, 2025,
updated Jan 30, 2025


Ignore the hype from Wall Street media, which mostly acts as a smokescreen [1,
2] by parroting the PR people. Instead, consider what's shared privately_by_the
CEO_in_the_investors'_forum_or_call: (and after market close; almost nobody
reads this)


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇IBM’s_CEO_confirmed_that_IBM_will_continue_to_transform_to_a
SW_enterprise_company._IBM_also_confirmed_that_2025_layoffs_will_be_similar_to
                                    2024⦈_


Hours ago, regarding "25%_of_Finance"_rumoured_to_let_go, somebody wrote:
"Well, they got rid of about 50% last March and it hurt teams badly to the
point people were overworked. They add another 25% with this colocation
nonsense and they're going to burn out the few folks left."


IBM is basically shrinking and offshoring. The salaries shrink, so that's not
what can be counted as growth. There's_also_considerable_debt.


In 2024 IBM laid of about 10,000 workers, not counting all the workers it
pushed out using "co-location_mandates", PIPs, and RTO.


If 2025 is expected to be the same, then perhaps about 20,000 IBM workers will
no longer be there (either laid off or made to leave). █




⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣷⣿⣿⢟⢿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠍⠩⣭⣿⣿⣿⣿
⣿⣿⣿⣧⠹⣥⣿⡇⡿⢁⠇⡄⠯⠭⣽⡇⠽⠭⡏⠽⢩⠉⣟⠭⠉⠏⡍⡽⠨⠍⠏⠉⢹⡏⠭⠉⠰⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣌⣀⡿⣿⣿⣿⣿
⣿⣿⣿⣿⠻⢹⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⢛⢻⣿⡇⣿⡟⠛⠟⡛⡟⣿⠿⡛⡟⣛⠟⠛⠛⣛⣻⠻⣻⢛⣻⢛⣻⡟⠛⠟⡟⢟⠛⡿⡻⡛⡛⣛⡻⡿⢻⣻⣻⣛⡛⠛⠛⢛⡻⢛⣛⡟⣛⣿⢻⠛⠛⢿⠟⠛⠻⢛⣛⠟⡛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣷⣜⣴⣿⡇⣿⢶⠶⠶⠷⡿⠶⠾⣶⠷⠶⡷⡶⣶⢷⢾⠾⢾⠷⠶⠶⠾⡶⡶⡷⠿⡿⡶⡿⢾⠶⠾⡶⠶⡾⢾⠿⢾⢷⠶⠶⡶⡷⣾⠶⠶⠿⠷⡷⡾⡶⡿⠾⠷⢶⣾⣶⣷⣷⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡇⣿⣵⣥⣭⣭⣦⣬⣷⣽⣥⣤⣤⣧⣥⣴⣽⣬⣵⣤⣤⣼⣭⣦⣮⣿⣭⣥⣬⣧⣯⣧⣯⣧⣬⣴⣵⣭⣼⣷⣦⣤⣯⣦⣾⣤⣤⣤⣤⣬⣧⣮⣯⣴⣭⣴⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡇⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢻⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿
⣿⡿⠿⠿⠿⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿
⣿⡟⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿⡏⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢹⣯⣭⣭⣭⣭⣭⣭⣭⣭⣝⣿⣿⣿⣿⣿⣿
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣽⣯⣀⣽⣎⣁⣏⣉⣻⣿⣇⣀⣿⣿⣿⣿
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⣭⣭⣭⣭⣭⣭⣭⣭⣥⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡿⢻⡿⡿⡿⣿⠿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣟⣸⣟⣲⣘⣺⢘⣘⣳⢡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣟⣛⣛⣛⣛⣓⡚⣛⣓⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣻⣿⣿⣿
⣿⣿⣿⡿⢫⠻⣿⡇⣿⠿⠿⡿⡿⣿⠿⣿⣿⣿⡿⢿⣿⡿⠿⡿⠿⠿⠿⢿⠿⡿⠿⡿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⡿⣿⡿⢿⣿⡿⠿⠿⠿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⡿⡿⣿⡿⣿⣿⣿⣿⣿⢩⡉⣷⣿⣿⣿⣿
⣿⣿⣿⣿⣬⣿⣿⡇⣿⣥⣤⣤⣧⣤⣤⣥⣤⣧⣧⣬⣤⣧⣴⣽⣤⣮⣥⣼⣬⣧⣥⣮⣧⣯⣬⣭⣭⣵⣤⣭⣥⣭⣧⣧⣤⣧⣭⣤⣯⣥⣷⣤⣌⣯⣽⣭⣵⣯⣬⣬⣍⣵⣽⣥⣥⣠⣿⣿⣿⣿⣟⣒⣒⣋⣿⣿⣿⣿
⣿⣿⣿⣯⣔⣸⣿⡇⣿⣫⣉⣉⣉⣉⣝⡋⣝⣃⣸⣉⣉⣋⣉⣉⣻⣋⣹⣉⣹⣟⣇⣉⣉⣍⣯⣍⣋⣉⣯⣍⣋⣙⣉⣫⣻⣙⣍⣹⣗⣉⣹⣋⣉⣉⣏⣋⣹⣉⣉⣙⣉⡍⣉⣉⣉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡟⣰⡙⣿⡇⣿⠛⠋⡹⠛⠛⢛⢻⠛⠛⠋⡟⠛⢛⢛⠟⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣾⣾⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡇⣿⠟⡋⠛⠛⡟⠙⠛⡛⣟⣛⢿⢻⠛⠛⡛⢛⢻⠙⠛⡟⣛⢟⣿⣛⣛⣛⠽⣛⠛⣛⠛⣛⣟⣻⠛⠛⡛⣛⠛⡟⣛⠟⣛⣿⠛⡻⢻⠻⣻⣽⢛⢟⡏⠛⠛⠛⢛⢻⢛⢛⢛⢛⡻⣻⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡇⣿⠿⡿⠿⣿⠿⢿⣿⠿⠿⠟⡟⠿⠿⠻⡿⠿⠿⠿⠿⠟⡿⠿⠿⠿⠿⡿⢿⠷⣿⠿⠿⠟⢿⠿⢿⠟⠿⠿⢿⡿⠿⠿⢿⠿⠿⠿⠟⡿⠿⠿⠟⠿⠿⠿⠿⢶⠿⠿⠾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣷⣿⣿⣷⣾⣾⣶⣶⣶⡷⣶⣤⡶⣷⣾⣶⣷⣿⣶⣷⣿⣾⣶⡿⣤⣷⣷⣿⣶⣶⣷⣾⣶⣾⣶⣾⣾⣿⣿⣿⣿⣷⣾⣶⣶⣶⡷⣶⣶⢾⣶⣷⣶⣧⣼⣶⣾⣶⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡇⣿⣦⣦⣶⣶⣼⣶⣴⣾⣤⣦⣦⣤⣤⣤⣤⣀⣤⣦⣿⣤⣦⣤⣴⣼⣦⣿⣿⣥⣭⣧⣵⣤⣯⣦⣤⣤⣶⣶⣯⣾⣴⣴⣧⣴⣼⣠⣤⣦⣼⣤⣼⣠⣤⣴⣤⣤⣤⣀⣧⣴⣵⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡇⣿⢙⠉⠉⣽⠉⢝⢽⠩⢭⢙⠭⡯⡭⠹⠽⡋⡏⠉⠩⢝⠉⠋⣻⠭⡫⠩⢽⠉⢝⠍⣝⡉⠯⡋⡏⡋⢟⠉⣿⠩⣝⢽⡍⠉⠹⠍⣉⡯⠫⡋⠭⠋⠙⡯⠉⣉⢩⠭⠟⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡇⣿⠍⠉⠋⡟⢻⠭⡟⠛⠛⠋⠿⡿⠟⢻⠹⢿⠛⠛⠛⠛⠻⢿⢿⠛⠛⠙⠻⣛⡿⠿⠛⠻⠯⠟⠛⠛⠛⡯⠍⣉⢏⡿⠟⡛⠛⠙⠛⠛⠛⠛⠛⢹⠛⠛⠋⡏⠙⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡇⣿⠿⠟⣻⠿⡿⠿⢿⣻⢿⢿⣿⠿⣿⠿⠿⠿⠿⠟⠾⣞⣿⡿⠿⠿⠷⣿⠿⠾⡿⣛⡟⡻⠿⣻⡿⢻⣿⣛⡿⢿⠿⠿⠿⠟⠿⣿⣷⠿⡿⣿⣿⢿⢿⠿⢻⠛⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡇⣿⣶⣶⣷⣶⣶⣾⣾⣷⡶⠶⠾⡶⣶⣷⣶⣶⣶⣶⣶⢷⢦⣷⣶⣶⣶⣶⣶⣶⣷⣶⣷⣶⣶⣾⣷⢶⣶⣾⣷⢾⣶⣶⣶⣶⣶⣶⡷⢶⣷⣷⡴⣵⢶⣾⢾⠶⠶⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡇⣿⣬⣭⣥⣤⣠⣴⣤⣤⣧⣤⣶⣧⣤⣤⣬⣬⣤⣤⣼⣵⣤⣴⣶⣴⣤⣤⣾⣤⣬⣥⣤⣦⣧⣥⣼⣥⣤⣵⣼⣥⣥⣶⣤⣏⣤⣤⣤⣤⣬⣤⣤⣯⣤⣤⣼⣴⣬⣤⣶⣤⣥⣽⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡇⣿⣸⣋⣉⣉⠉⣉⣿⣹⣛⣻⣭⣅⣘⣏⣉⡿⣹⣛⣻⣛⢋⣷⣋⣹⣙⣉⣋⣏⣉⣽⣃⣍⣉⣉⣋⣙⣻⣉⣙⣉⣉⣈⣉⣭⣽⣆⣎⣋⣛⣏⣋⣩⣭⣗⣹⣉⣉⣉⣍⣗⣃⣉⣁⢩⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡇⣿⠛⢻⠙⢛⡛⡛⢛⣻⣛⢟⡛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡇⣿⡟⠛⠛⡛⡏⠛⠛⢙⣏⠛⢻⢻⡻⢛⣟⣛⢻⡛⡛⠛⠛⡟⠛⢟⠛⡟⠛⠛⣻⢿⠛⡟⡛⡛⢻⣿⣟⣛⣛⡛⠛⡟⠛⡟⡛⣻⣿⢛⡟⣛⢟⢻⡛⣛⢟⡿⡛⣻⡻⡟⣿⡻⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡇⣿⠿⠻⠿⡿⠻⠿⢿⠿⢿⣿⡿⠿⠿⢿⡿⢿⠟⠿⢿⡿⠶⠿⢿⠿⠿⠿⡿⠷⠿⡿⠻⡷⡿⠿⠿⢿⠿⠿⠿⢿⠾⡿⠿⠿⠿⠿⠿⠿⠿⠿⡿⠿⠿⢿⣿⠿⠿⠿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡇⣯⣾⣾⣶⣿⣶⣶⣾⣶⣿⣿⣷⣶⣦⣾⣿⣾⣧⣶⢶⣷⣾⣾⣷⣾⣧⣶⣷⣿⣾⣿⣾⣾⣿⣶⣷⣶⣷⣿⣿⣾⣥⣷⣷⣷⣷⣷⣶⣾⣧⣾⣧⣷⣷⡾⣯⣼⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡇⣿⣂⣀⣀⣀⣐⣐⣀⣧⣀⣒⣄⣀⣰⣎⣄⣇⣅⣔⣀⣀⣀⣆⣻⣇⣂⣀⣄⣰⣂⣨⣸⣠⣸⣅⣂⣠⣀⣒⣅⣐⣔⣀⣻⣢⣺⣰⣀⣠⣒⣕⣀⣠⣪⣕⣈⣂⣲⣃⣇⣠⣠⣸⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡇⣿⠛⠭⡋⢩⢹⠏⠩⣏⠉⢉⡩⢝⠏⢹⡝⠩⠭⡋⢭⠫⡏⠭⣿⡏⠩⡭⡋⠹⠍⠉⢙⠍⣻⠉⡟⢙⠉⠙⠩⠍⠍⢙⠍⣿⠯⢉⠉⡝⡭⠙⠩⠋⢹⠍⠉⠭⡏⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡇⣿⡿⡛⢟⡿⣿⡿⢿⡿⡿⠿⣿⠿⠛⢻⠿⠿⠿⠿⠻⢿⡿⡛⢿⡿⡿⡿⢿⡿⣿⢿⣿⣻⠿⢿⡻⡿⠟⣻⢿⠿⣻⢻⡛⣿⠿⠻⠿⡿⢿⠛⡿⢿⢿⠟⠻⠿⠿⢿⠻⢿⠻⠿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡇⣿⡶⣶⣶⣶⣾⡷⣾⡶⣶⣶⣿⣿⣶⣾⣶⣶⣶⣶⣶⣾⣶⣶⣶⣶⣾⣶⣶⣷⣶⣶⣾⣷⣶⣶⣶⣷⣶⣶⣶⣶⣿⣶⣷⣯⣶⣶⣶⣷⣶⣶⣷⣶⣶⣶⣶⣶⣶⣾⣶⣾⣶⣶⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡇⣿⣤⣭⣭⣭⣭⣤⣤⣬⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡇⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢻⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 431

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/01/30/IRC_Proceedings_Wednesday_January_29_2025.shtml
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⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ IRC Proceedings: Wednesday, January 29,
2025⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jan 30, 2025


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


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


                                              #techrights_log                                                                                           #boycottnovell_log


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


                                         #boycottnovell-social_log                                                                                        #techbytes_log


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


                          Enter_the_IRC_channels_now




⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣫⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠙⠹⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⣷⣖⣥⣄⣿⣿⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⡿⣿⢿⣿⣿⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣷⣿⢾⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⠿⡈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠿⢿⣿⣿⣿⣿⣿⠿⡿⠿⠿⢭⣾⣿⣿⣿⣿⣿⣿⣿⢻⣯⢿⣿⣷⠷⠾⢤⣟⣟⣛⣟⣿⣿⡿⣿⣻⠋⢿⣿⣿⣿⠟⣛⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣛⣋⣩⣭⣭⣬⣤⣬⣭⣥⣤⣤⣶⣤⣤⣬⣭⣉⣨⣤⣤⣤⡤⠀⠺⢟⠿⣿⠭⣿⣿⡍⣣⣿⣶⣾⣿⣿⠹⣿⣾⣿⡿⢱⡠⢿⠿⡆⢻⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⣀⡼⣾⣿⣷⣿⣍⣧⡃⢉⣯⡿⠫⣾⣿⣿⣿⣿⣿⣶⠣⣿⡓⣩⣿⣯⠛⣿⣿⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡟⣿⣿⣿⣿⣏⣿⣿⣿⣭⠌⣭⣯⣿⣿⣿⣿⣿⣴⣿⣷⢿⣿⣿⣿⣿⣿⡋⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣷⣾⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣽⣿⣿⣿⡇⠈⠁⢘⣿⡁⢹⣿⣦⣜⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣾⣿⣹⠟⠻⠉⠻⠻⢿⣿⠿⠿⣿⣿⣿⣽⣿⡀⠀⠘⢿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣾⣀⠈⠀⠀⠀⠠⠙⣆⢀⣼⣿⣟⣽⣿⣷⡀⠀⠈⢿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣼⣶⣊⣥⣴⣯⣶⡿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣿⣤⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣻⣛⣿⣯⣿⣾⣿⣿⣿⣿⣿⣿⠏⠍⠑⣄⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣻⣧⣦⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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                    ䷩ 𝚕𝚒𝚗𝚎 657

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/01/30/Jack_M_Germain_LinuxInsider_Seems_to_Have_Turned_to_LLM_Slop_Gr.shtml
    Gemini version at https://techrights.org/n/2025/01/30/Jack_M_Germain_LinuxInsider_Seems_to_Have_Turned_to_LLM_Slop_Gr.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Jack M. Germain (LinuxInsider) Seems to
Have Turned to LLM Slop, Graphics Slop, and B2B
SPAM⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jan 30, 2025


THIS morning I saw a dubious ("says nothing") 'article' from LinuxInsider*,
composed by Jack M. Germain, who is definitely a real person. But did he
actually compose it? So I opened the Web page (I typically read news in a text
editor), saw slop_for_the_image and then passed it through an analyser, serving
to affirm my concerns and confirm my suspicions.


 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Open_Source’s_Complexities_in_2025:_From_Sustainability_to
                                  Security⦈_


Taking the first 4 paragraphs (random check):


   🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇In_2025,_open-source_technology_will_navigate_growing
 challenges,_from_security_and_sustainability_to_funding._New_AI_projects_may
                  offer_solutions,_but_uncertainty_remains.⦈_


A day earlier my wife saw the same 'article' and wondered aloud about the SPAM
in the page, especially "B2B" stuff (that's how SPAMnil describes his spammy
channel and site; about 98% of his "views" are fakes or bots).


If LLM slop is correctly identified and we call out the Serial Sloppers (SSs),
then maybe we can contain this digital pandemic, keeping it more or less under
control.


LinuxInsider is barely active anymore. When it is, we'll just presume it's a
bot 'talking', not real material.


We're not yet deleting LinuxInsider (from our RSS/XML lists) because we want to
observe it - and scrutinise it if necessary - for future LLM slop. █


____


* Back in the Digg.com era people joked that even the editor of LinuxInsider
did not use Linux (because there had been admissions). They ride the name
"Linux" at ECT, a company that also employed Microsoft shills like Rob Enderle
and posted loads of Linux FUD, sometimes in LinuxInsider (anti-Linux sites with
"Linux" in their name aren't so uncommon).




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                    ䷩ 𝚕𝚒𝚗𝚎 765

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

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⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Microsoft Mass Layoffs Without Severance
Pay Reported Hours After Microsoft Reported Weak Numbers and Microsoft Stock
Fell⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jan 30, 2025,
updated Jan 30, 2025


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


When referring to the_"hey_hi"_(AI)_hype they referred to revenue (many things
redefined or reclassified as "AI"), not income/profit; Microsoft-funded
publishers sugar-coated_this


According to [1], which initially reported the first mass layoffs at Microsoft
(early January, there was another wave mentioned a week later), some of those
impacted by mass layoffs at Microsoft are "not getting severance, according to
people familiar with the situation."


Sounds like Microsoft has some severe money problems. As noted in [2,3], this
is the wave Microsoft says impacts several thousands of workers, set aside the
second wave of January layoffs, which has nothing to do with performance.


Microsoft has a bloodbath this month, yet the media parroted several false
claims by Microsoft when Microsoft announced "results" (no wonder the stock
fell). The_"hey_hi"_hype_dominated_headlines; this is infantile pseudo-
journalism (churnalism). Should it not be mentioned Microsoft fakes revenue by
circular accounting, i.e. buying_from_itself?


If anything, this serves to show how bad (complicit) the media became. This is
how IBM-funded media reports_IBM_layoffs this week. Compare that to the hours-
old comments in [1, 2, 3, 4]. Some of those were mentioned this_morning. █


_____


   1. ⚓ Microsoft's_performance-based_job_cuts_have_started,_according_to
      termination_letters_sent_to_staff⠀⇛


           Employees losing their jobs will see healthcare benefits end
           immediately, the letters state. In three specific cases,
           employees were told by Microsoft they're not getting severance,
           according to people familiar with the situation. These people
           asked not to be identified discussing sensitive topics.


   2. ⚓ Appraisals_for_software_engineers:_Microsoft_and_Amazon_are_using
      performance_reviews_to_decide_who_gets_sacked⠀⇛


           Microsoft is yet again preparing for another round of layoffs
           while focusing on performance based workforce reduction,
           reported Fortune. The technology giant Microsoft which is now
           valued at $3.1 trillion will be carefully evaluating the
           underperforming employees across the various departments.


   3. ⚓ Microsoft_and_Amazon_are_using_performance_reviews_to_decide_who_gets
      laid_off—experts_warn_these_surefire_mistakes_will_get_you_cut⠀⇛


           While a Microsoft spokesperson did confirm layoffs were on the
           horizon, they did not share any specifics on the number of
           workers who may be let go and the reasons why.




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

                    ䷩ 𝚕𝚒𝚗𝚎 1839

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/01/30/Over_at_Tux_Machines.shtml
    Gemini version at https://techrights.org/n/2025/01/30/Over_at_Tux_Machines.gmi

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


posted by Roy Schestowitz on Jan 30, 2025


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


⚓  Updated This Past Day⠀⇛


   1. ⚓ Pinta_3.0_Beta_Released_with_New_GTK4/Libadwaita_UI⠀⇛


           A new beta release of open source graphics editing app Pinta is
           available for testing


      ⚓  New⠀⇛


   2. ⚓ Games,_GNOME_Maps,_BSD,_and_Software_Freedom⠀⇛


           today's leftovers


   3. ⚓ Security_Leftovers⠀⇛


           Security links, only 3 for now


   4. ⚓ Programming_Leftovers⠀⇛


           Development picks, not many


   5. ⚓ Red_Hat_Official_Fluff⠀⇛


           lots of Red Hat buzzwords


   6. ⚓ today's_howtos⠀⇛


           a batch for the morning


   7. ⚓ Raspberry_Pi_Projects_and_News⠀⇛


           3 stories for today


   8. ⚓ Krita_5.2.9_Released!⠀⇛


           Today we're releasing Krita 5.2.9


   9. ⚓ Games:_Antimatter,_Chernobylite,_and_More⠀⇛


           8 of the latest stories from GamingOnLinux


  10. ⚓ Windows_10's_demise_nears,_but_Linux_is_forever⠀⇛


           If you want a desktop that's secure and reliable, forget about
           Microsoft


  11. ⚓ Development:_Debiab,_EasyOS,_and_More⠀⇛


           Programming and more


  12. ⚓ Document_Freedom_Day:_Empowering_the_Digital_World_with_Open
      Standards⠀⇛


           the Document Freedom Day will happen on March 26, and will be
           driven by the LibreOffice community


  13. ⚓ Android_Leftovers⠀⇛


           ‘Google Play Store keeps stopping’ on Android


  14. ⚓ Best_Free_and_Open_Source_Software⠀⇛


           Only free and open source software is eligible for inclusion
           here


  15. ⚓ Great-OS_–_Linux_distribution⠀⇛


           Great-OS (Grat-OS) is an independent Linux distribution made in
           France


  16. ⚓ today's_howtos⠀⇛


           only a few more for now


  17. ⚓ Proprietary_Coding,_LLMs,_and_Violations⠀⇛


           Using slop to pretend to be building applications without
           possessing skills or obeying licences


  18. ⚓ Today_in_Techrights⠀⇛


           Some of the latest articles


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                      Span from 2025-01-23 to 2025-01-29
      895 /n/2025/01/20/
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⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⣿⡉⣉⣭⡥⠄⠀⠐⠺⢿⠿⠿⢿⣺⣿⣿⣯⣽⣿⣿⣧⣤⡤⠤⠜⠛⠛⠽⣽⣿⣿⠒⠀⠀⠀⠀⠀⠀⣀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿
⣿⣿⣿⣿⣿⣿⠀⠀⠈⣿⣿⡿⢿⣿⣭⣥⠤⠀⠀⠀⠀⠀⠀⢀⣀⣀⡙⠿⠛⣟⠛⢹⣿⣯⣿⣿⡟⠉⠀⠀⠀⠀⠙⠓⠀⡀⡄⠀⠀⠀⠀⠀⠘⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀
⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣷⣶⡿⠗⠀⠀⠒⠖⠂⠀⠀⠀⢸⣿⣿⣿⣿⣷⣿⡏⠻⠿⠿⣿⣿⡧⠤⣶⡦⠤⠀⠀⠀⠠⠐⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣐⠒⠂
⢻⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣛⣓⣀⣀⢸⣿⣿⣷⡴⠞⠻⢶⣶⣶⣶⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀
⠘⠛⢿⠛⠛⠋⠀⠀⠀⢿⣿⣿⣿⣿⣿⣟⣿⣋⢛⣶⣶⡛⠉⢸⣿⣿⣷⢶⣿⣿⣭⡭⣯⣭⣿⣿⣿⠿⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠈⠙⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠁⠀
⣤⣤⣾⣿⣷⣤⣤⣤⣤⣤⣤⣤⣤⣭⣭⣤⣤⣤⣤⣤⣭⣯⣄⣸⣿⣿⣯⣉⣡⣭⣭⣭⣉⣻⣿⣿⣏⣒⣂⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣟⠉⠉⠉⠙⢿⣿⡷⢀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠀⠀⠀⠀⠀⠀⠀⠐⠾⠿⠛
⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⣿⡿⠿⠿⠿⠿⠿⠿⠿⣿⠿⠿⠿⠿⠿⠿⠿⢿⡿⠿⠿⠿⠿⠿⠿⠿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⡟⠛⠛⠛⠛⠛⠛⠛⠛⠛⢫⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣿⣧⣤⣤⠀⠀⠀⠀⠀⣿⡦⠤⠤⣤⣤⡤⠤⢼⣿⠀⠀⠀⠀⣤⣤⣤⣿⠀⠀⠀⠀⠠⢤⠀⠀⠀⢸⣿⡇⠀⢀⠀⡄⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠒⣿⡟⠛⠛⠛⠛⠛⠛⢻⣿⡗⠃⠐⠛⠛⠒⠒⢸⣿⠛⠛⠛⠛⠛⠛⠛⣿⠛⠛⠛⠛⣿⣿⣿⠻⡟⢻⣿⡇⠀⠀⠀⠅⠀⠈⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠶
⠀⣿⣇⣿⣿⡀⡀⠀⠀⣀⣿⡟⠓⠒⠒⠒⠒⠒⢺⣿⣀⣀⣀⣀⣘⣀⣀⣿⣀⣀⣀⣀⣿⣿⣿⣂⣰⣸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⢉⡉⠁⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠉⢉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣈⣉⣉⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⣿⣿⣷⣴⣤⣤⣬⣂⣀⠀⠀⠀⠀⢀⠈⢃⣀⣙⡁⡀⠀⠀⠀⠀⠀⠀⠂⠀
⣿⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⠛⣿⣿⣿⣿⣯⣁⣹⣿⣥⣼⣼⣿⡿⢿⠿⣿⣷⣶⡶⢶⣶⠦⠄⠀
⠿⠿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠉⠉⠉⠉⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠇⢠⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣿⣷⣶⣶⣿⣿⣿⣿
⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠿⠛⠛⠛⠛⠿⣿⣿⣍⣭⣭⣭⣭⣭⣭⣭⣭⣽⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠛⠛⠛⠛⠛⠛⠛⣿⣿⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠈⢿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣀⣀⣀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣦⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⠀⠀⢤⠤⠀⠀⣿⣿⣿⠀⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⢛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⢰⣶⣶⣿⠀⠀⣿⣿⣿⡆⣿⣿⣿⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠾⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⢀⢠⣬⣿⠀⠀⣿⣿⣿⡇⣿⠟⡟⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⢸⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣀⣠⣤⣤⣤⣤⣶⣤⣶⣶⣶⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣦⣤⡀⠀⠀⠀⠤⠤⠤⠤⠼⣿⣿⠀⠈⠉⠉⠀⠀⠉⠉⠉⠁⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠛⠛⠛⠛⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡉⠉⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 2016

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

(ℹ) Images, hyperlinks and comments at https://techrights.org/n/2025/01/30/The_Free_Software_Foundation_FSF_Raised_422_000_Another_22k_in_.shtml
    Gemini version at https://techrights.org/n/2025/01/30/The_Free_Software_Foundation_FSF_Raised_422_000_Another_22k_in_.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ The Free Software Foundation (FSF) Raised
$422,000 (Another $22k in the Two Weeks After Campaign Ended), Proving That
Truth and Justice Tend to Find a Way⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jan 30, 2025


10,000+_US_dollars_a_week even without campaigning for funds


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


OUR modest observations about haters of the FSF - because this is what they are
(the ad hominem way though) - have long been the same; it's quite consistent;
many of them suffer envy (for failing to accomplish anything of importance),
many of them are really_gross, and over time all of them end up cancelling
themselves instead of those whom they seek to demonise and deplatform. We've
lost count of those impacted, but Bully de Blanc, Hamasman, Sharp, Reda,
Schultz, McGovern and Garrett are among them. Nicholson has managed to adapt to
change and put the fingers in many pies: Linux_Foundation/OIN, FSF, SFC, OSI,
now Python (but there_is_strong_pushback_already). The common pattern is, they
self-nuke when they try to nuke real proponents of true software freedom.
Typically we just never hear of them anymore. Even Debian Project Leaders
(DPLs) who notoriously attacked Daniel Pocock are barely visible anymore.
Contrariwise, Pocock_is_still_active, he gives_public_talks, as does Richard
Stallman, who gave at least 5 public talks this month (different topics, even
different languages).


So what is it that compels hypocrites to keep doing this? Like perverts calling
others "perverts" (stones in glass houses)? Can they not identify the pattern?
You attack Linus Torvalds, you end up not doing any Linux development. You
attack Richard Stallman, then Hare dies (DeVault has not blogged about it since
January 24, 2023).


Rational people would figure out there's a pattern here; there's much to be
gained by creating things, not by attacking people who created many things
(like Torvalds created Linux and Git, Stallman created GNU, FSF, GPL and more).


Society is typically made or composed of builders and vandals who attempt to
break everything down. As long as the efforts of the builders outpace the
latter's, society can advance. It's still time-wasting, but wasteful
opportunists aren't a new problem.


The FSF can hopefully maintain a good core of supporters and protect_the_GPL_
(copyleft)_from_Microsoft.


Thankfully_Microsoft_has_its_own_difficulties. █




⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣙⣛⣛⣟⣛⣙⣛⣛⣛⣻⣛⣛⣛⣛⣛⣛⣛⣟⣟⣋⣛⣻⣛⡛⣻⣛⣛⣿⣟⣿⣝⣛⣛⣻⣙⣿⣛⣟⣋⣋⣻⣿⣋⣙⣟⣛⣛⣻⣿⣛⣿⣿⣻⣛⣛⣛⣛⣻⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣛⣛⣛⢻⣟⡛⣏⣋⣋⣏⣏⣿⣿⣉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⢿⢿⢿⢿⢿⠿⢿⢿⠿⠿⡿⠿⢿⢿⠿⡿⢿⠿⢿⠿⢿⠿⠿⡿⠿⡿⢿⠿⠿⠿⠿⡿⡿⠿⡿⡿⠿⠿⠿⣿⠿⢿⢿⠿⠿⠿⠿⡿⠿⠿⠿⠿⢿⠿⠿⠿⡿⡿⠿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠾⢾⣾⢿⡿⣶⣾⠾⡿⠿⠷⠿⠿⠾⠿⡾⣿⡶⣿⢾⡾⡶⡶⠿⣶⠿⢿⠶⡷⠾⢿⡷⠿⢷⠷⡟⠲⠾⣷⡿⢷⠾⡾⠾⣷⣶⣾⣿⣶⣷⣶⣷⣾⣿⣿⣾⣿⣿⣷⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⠓⠳⣛⠟⢻⠛⠿⡻⠛⢛⡟⣟⠻⠟⡟⠟⢷⠟⢛⢻⢻⣻⣿⣿⣿⣿⡿⣿⢿⠻⢷⣿⣿⢻⣿⠷⡿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⡀⢀⠀⢀⡀⢀⣀⢀⡀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠁⠀⠀⠁⠈⠈⠀⠁⠀⠈⠀⠀⠀⠈⠈⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠃⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣛⣛⣻⣟⣿⣛⣋⣿⣉⣿⣿⣉⣛⣻⣿⣙⣛⣛⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡷⣷⣶⣾⣷⣦⡴⣷⣷⡶⡿⣾⣶⣾⢷⡶⣷⣶⣶⣶⡶⣾⣶⡾⣶⢶⣾⣶⣶⣷⠷⣶⣶⣶⣾⣶⣾⣶⡾⡷⣶⡿⣶⣾⣶⡷⣷⣿⣶⣿⣶⣿⣾⣷⣷⣮⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣷⣦⣾⣿⣿⣶⣷⣷⣿⣷⣿⣷⣷⣶⣾⣿⣶⣿⣿⣶⣿⣿⣿⣶⣷⣷⣿⣾⣾⣾⣷⣿⣾⣾⣷⣶⣶⣿⣷⣴⣶⣷⣶⣷⣷⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣧⣬⣽⣭⣭⣩⣭⣿⣭⣿⣭⣭⣯⣵⣯⣯⣽⣷⣯⣽⣽⣭⣵⣽⣯⣿⣽⣽⣭⣯⣭⣽⣼⣥⣭⣭⣯⣿⣭⣭⣼⣾⣿⣿⣿⣿⣯⣥⣯⣽⣽⣤⣭⣽⣾⣭⣽⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⣧⣤⣶⣦⣴⣼⣼⣤⣤⡤⣯⣤⣤⣴⣧⣬⣾⣥⣤⣥⣾⣧⣤⣽⣤⣥⣤⣼⣤⣥⣧⣤⣦⣤⣿⣤⣤⣼⣤⣦⣥⣤⣤⣤⣧⣷⣤⣤⣤⣿⣤⣧⣤⣥⣬⣬⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣶⣶⣿⣶⣶⣿⣴⣶⣶⣶⣶⣷⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 2104

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Gemini Links 30/01/2025: Action vs
Inaction, Gopherholes, and More⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jan 30, 2025


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


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


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


          o § Personal/Opinions⠀➾


                # ⚓ 🔤SpellBinding_—_CYIKORH_Wordo:_REBEL⠀⇛


          o § Politics and Medicine⠀➾


                # ⚓ More_Kvetching_about_Medicine_and_some_Pontificating_about
                  Action_vs_Inaction⠀⇛


                       Remember how I told you about Brain Tumor Boy in my
                       article about medical testing? See [1], if you need
                       a refresher. Why I find that whole thing as funny
                       as I do is that I suspect that if you look at my
                       chart and a Physician's Desk Reference, you can
                       easily conclude why my blood pressure is abnormally
                       low.


          o § Technology and Free Software⠀➾


                # ⚓ f3s:_Kubernetes_with_FreeBSD_-_Part_3:_Protecting_from
                  power_cuts⠀⇛


                       This is the third blog post about my f3s series for
                       my self-hosting demands in my home lab. f3s? The
                       "f" stands for FreeBSD, and the "3s" stands for
                       k3s, the Kubernetes distribution we will use on
                       FreeBSD-based physical machines.


                # § Internet/Gemini⠀➾


                      # ⚓ usenet_etc.⠀⇛


                             Do people here know usenet, finger and other
                             obscure protocols? I've been thinking about
                             adding them into The Blue Pages lately and
                             been looking into popular resources for
                             aforementioned. I'm also looking at popular
                             (and useful) Gopherholes and Gemini spaces
                             too if any. I haven't come across Gopher nor
                             Gemini since the past year since it's still
                             small, but I do think they should earn some
                             recognition with other old web creators back
                             in HTML land so that the community can still
                             thrive. Any stuff on setting servers up to
                             pages, guides and other stuff do count,
                             especially setting up servers and guides to
                             said protocols. It's too tiring to see AI
                             shoved down our throats and I think people
                             deserve better.


                      # ⚓ [Old] Getting_efingerd_/_finger_working_on_Ubuntu
                        with_systemd⠀⇛


                             Not a lot of folks use the finger command or
                             protocol these days; however, I've been
                             delving into the #smallweb / smolweb (i.e.,
                             the Gemini Protocol) for the past year and
                             noticed a few people have revived this
                             ancient protocol for status updates. I
                             figured I'd give it a shot, and I thought it
                             would be simple, but the lack of guidance
                             really hindered me for a bit.


                             If you're wondering, efingerd / fingerd (the
                             original) simply enables people outside of
                             your own linux machine to use the finger
                             command, just remotely.


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





                    ䷩ 𝚕𝚒𝚗𝚎 2222

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Gemini Links 30/01/2025: Chaos Reigns, E-
mail, Searching⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jan 30, 2025


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Man_and_Shadow⦈_


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


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


          o § Personal/Opinions⠀➾


                # ⚓ The_weaponisation_of_resilience_and_mindfulness⠀⇛


                       i agree that, in general, ‘resilience’ is indeed a
                       good thing to have and to build. But it feels to me
                       that the increasing emphasis on ‘resilience’ is
                       often being used to divert responsibility away from
                       significant structural/systemic issues to
                       individuals - to make individual struggles a case
                       of “just not having the right mindset”, as though
                       one's capacity to be resilient is unconnected to
                       one's economic / social / cultural capital[a].
                       This, in turn, has made me angry enough, in an
                       ongoing way, that i've felt compelled to write a
                       few poems on the issue[b].


                       Stating or implying that a person ‘lacks
                       resilience’ or ‘needs to be more stoic’ without
                       consideration of their life circumstances is often,
                       at the least, problematic - and in a number of
                       cases, it can actually be offensive.. In Australia,
                       a disabled Indigenous woman who's the daughter of
                       someone from the Stolen Generations[c] will have
                       had to develop a substantial amount of resilience
                       as part of reaching adulthood, particularly
                       compared to a non-disabled Anglo man whose parents
                       were middle-class professionals. If the Indigenous
                       woman constantly experiences harrassment and
                       discrimination due to being Indigenous - which
                       she's had to deal with all her life - how
                       appropriate is it to focus on her ‘lack of
                       resilience’ or ‘need to be more stoic’[d]? And
                       further: how appropriate is it to do so whilst
                       underfunding and defunding services and subsidies
                       that might give her the ability to improve her
                       physical and mental health[e]?


          o § Politics and World Events⠀➾


                # ⚓ Chaos_Reigns⠀⇛


                       Aside from his anti-fish crusade, previously
                       mentioned in this very gemlog, the new President of
                       the United States has withdrawn the United States
                       from climate agreements, released angry tirades
                       against trans military personnel in executive
                       orders, sent ICE goons into a frenzy of racial
                       profiling resulting in the detention of random
                       Puerto Ricans[1] and Navajo people[2], and
                       attempted to demolish the federal civil service,
                       presumably so it can be replaced with his own crowd
                       of sycophants, including - inexplicably -
                       teenagers.[3]


                       I don't intend to make non-ecological politics a
                       regular feature of this gemlog, but if I have to,
                       so be it; I'd rather be on record opposing this
                       garbage than sit back and blog about tortoises
                       while people are being harmed by an administration
                       that goes against every moral and religious value I
                       have in my body. My own politics are neither
                       Republican or Democrat; they are off in their own
                       strange little degrowth-socialist zone - but at
                       this point, I would be happy to be counted with
                       anyone that rejects MAGA hate and degeneracy.


          o § Technology and Free Software⠀➾


                # ⚓ Analog_Basics:_Inverter/Amplifier_(publ._2025-01-27)⠀⇛


                       Something confusing me for a little while was that,
                       in the Grappendorf components provided, there is no
                       inverter module. But after looking at some of the
                       project photos, I realized that all I needed to do
                       is add a resistor to the amplifier module.


                # ⚓ mutt_and_deleting_email_via_protonmail_bridge⠀⇛


                       I haven’t deleted an email message since 2018. This
                       was not my intention, but deleting messages from
                       the INBOX doesn’t actually delete messages when
                       you’re using the ProtonMail Bridge. I have a lot to
                       delete, and delete wasn’t working.


                # § Internet/Gemini⠀➾


                      # ⚓ Searching_the_GnuPG_encrypted_org-journal⠀⇛


                             To evaluate the performance of searching in
                             the GnuPG-encrypted org-journal, I created a
                             small experiment.


                             [...]


                             § Performing the search


                             I moved the files to the sub directory `2023'
                             within the org-journal directory.


                             Next I started org-journal-search, using
                             "modern reformers" as search argument and
                             2023-01-01 ... 2023-12-31 as search period.
                             The search-argument "modern reformers" was
                             chosen because it occurs in 20 journal files,
                             spread out over the year.


                             The search runs through all journal files,
                             starting with 20230101.gpg and ending with
                             20231231.gpg, and is done is less than two
                             minutes.


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





                    ䷩ 𝚕𝚒𝚗𝚎 2391

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Links 30/01/2025: Amazon Layoffs and
DeepSeek Panic⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jan 30, 2025


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


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * Leftovers
          o Science
          o Hardware
          o Health/Nutrition/Agriculture
          o Proprietary
          o Security
                # Privacy/Surveillance
          o Defence/Aggression
          o Environment
                # Energy/Transportation
                # Wildlife/Nature
          o Finance
          o AstroTurf/Lobbying/Politics
          o Freedom_of_Information_/_Freedom_of_the_Press
          o Monopolies/Monopsonies
    * § Leftovers⠀➾


          o ⚓ Hackaday ☛ Testing_At_Scale⠀⇛


                 We’ve said it before: building one-offs is different from
                 building at scale. Even on a small scale. There was a
                 time when it was rare for a hobbyist to produce more than
                 one of anything, but these days, access to cheap PC
                 boards makes small production runs much more common.
                 [VoltLog], for example, is selling some modules and found
                 he was spening a lot of time testing the boards. The
                 answer? A testing jig for his PC board.


          o § Science⠀➾


                # ⚓ University of Michigan ☛ UMich_study_uncovers_the_mechanism
                  behind_gold_deposit_formation⠀⇛


                       Amid Earth’s mobile tectonic plates, subduction
                       zones arise as regions of intense geological
                       activity. These zones create processes that
                       concentrate minerals into ore deposits. High-
                       temperature, water-based hydrothermal fluids play a
                       role in forming these deposits, including gold.


          o § Hardware⠀➾


                # ⚓ Dictator_threatens_100%_tariff_on_Taiwan’s_microchip
                  industry⠀⇛


                       Foreign companies exporting to the United States
                       need to pay for ‘destroying’ American industry, he
                       said.


                # ⚓ Hackaday ☛ Keebin’_With_Kristina:_The_One_With_The_DIY
                  Homing_Keys⠀⇛


                       When [coral-bells] posted her first build to r/
                       mechanicalkeyboards, she likely felt some
                       trepidation. After all this is reddit we’re talking
                       about, so right away you’ve got two layers of male-
                       domination hobby.


                # ⚓ Hackaday ☛ Your_VAX_In_A_Cloud_Is_Ready⠀⇛


                       For many people of a certain age, the DEC VAX was
                       the first computer they ever used. They were
                       everywhere, powerful for their day, and relatively
                       affordable for schools and businesses. These
                       minicomputers were smaller than the mainframes of
                       their day, but bigger than what we think of as a
                       computer today. So even if you could find an old
                       one in working order, it would be a lot more
                       trouble than refurbishing, say, an old Commodore
                       64. But if you want to play on a VAX, you might
                       want to get a free membership on DECUServe, a
                       service that will let you remotely access a VAX in
                       all its glory.


                # ⚓ Hackaday ☛ Cool_Kinetic_Sculpture_Has_Tooling_Secrets_To
                  Share⠀⇛


                       Occasionally, we get a tip for a project that is so
                       compelling that we just have to write it up despite
                       lacking details on how and why it was built.
                       Alternatively, there are other projects where the
                       finished product is cool, but the tooling or
                       methods used to get there are the real treat.
                       “Homeokinesis,” a kinetic art installation by
                       [Ricardo Weissenberg], ticks off both those boxes
                       in a big way.


                # ⚓ Hackaday ☛ Transition-Metal_Dichalcogenides:_Super-
                  Conducting,_Super-Capacitor_Semiconductors⠀⇛


                       Transition-metal dichalcogenides (TMDs) are the
                       subject of an emerging field in semiconductor
                       research, with these materials offering a range of
                       useful properties that include not only
                       semiconductor applications, but also in
                       superconducting material research and in
                       supercapacitors. A recent number of papers have
                       been published on these latter two applications,
                       with [Rui] et al. demonstrating superconductivity
                       in (InSe2)xNbSe2. The superconducting transition
                       occurred at 11.6 K with ambient pressure.


          o § Health/Nutrition/Agriculture⠀➾


                # ⚓ Science Alert ☛ Scientists_Confirm_a_New_Strain_of_Bird_Flu
                  Has_Emerged_in_The_US⠀⇛


                       A new variant has been detected in California.


                # ⚓ Science Alert ☛ This_'Strange'_Gas_May_Hold_Promise_For
                  Treating_Alzheimer's,_Study_Says⠀⇛


                       Clinical trials are expected to begin this year.


                # ⚓ Science Alert ☛ Exercise_Doesn't_Burn_as_Many_Calories_as
                  You_Think,_Experts_Say⠀⇛


                       You might be surprised.


                # ⚓ Science Alert ☛ DNA_Reveals_Surprise_Twist_About
                  Christopher_Columbus⠀⇛


                       Could the conspiracy theories be true?


                # ⚓ MIT Technology Review ☛ Mice_with_two_dads_have_been
                  created_using_CRISPR⠀⇛


                       Mice with two fathers have been born—and have
                       survived to adulthood—following a complex set of
                       experiments by a team in China.  Zhi-Kun Li at the
                       Chinese Academy of Sciences in Beijing and his
                       colleagues used CRISPR to create the mice, using a
                       novel approach to target genes that normally need
                       to be inherited from both…


                # ⚓ Week_2_2019:_England_and_Wales_12,609_deaths._Week_2_2025:
                  England_and_Wales_14,416_deaths.⠀⇛


          o § Proprietary⠀➾


                # ⚓ Amazon_to_Eliminate_‘Small_Number’_of_Roles_in
                  Communications_Department⠀⇛


                       Amazon’s communications department is reportedly
                       the latest segment of the company’s corporate
                       workforce to see layoffs.


                       The company is laying off dozens of people in the
                       department, Bloomberg reported Wednesday (Jan. 29).


                       “Following a recent review, we’re making some
                       changes to the Communications & Corporate
                       Responsibility organization to help us move faster,
                       increase ownership, strengthen our culture, and
                       bring teams closer to customers,” Amazon
                       spokesperson Brad Glasser said in the report. “As
                       part of these changes, we’ve made the difficult
                       decision to eliminate a small number of roles.”


                       Tens of thousands of corporate jobs have been cut
                       at the company since Andy Jassy became CEO of
                       Amazon in 2021, according to the report.


                # § Artificial Intelligence (AI)⠀➾


                      # ⚓ New York Times ☛ Why_DeepSeek_Could_Change_What
                        Silicon_Valley_Believe_About_A.I.⠀⇛


                             A new Hey Hi (AI) model, released by a
                             scrappy Chinese upstart, has rocked Silicon
                             Valley and upended several fundamental
                             assumptions about Hey Hi (AI) progress.


                      # ⚓ CS Monitor ☛ China’s_DeepSeek_impresses._But_is_a
                        ‘fast_follow’_good_enough_in_AI?⠀⇛


                             China’s success with Hey Hi (AI) tool
                             DeepSeek is giving U.S. markets a reality
                             check. But it’s too early to say that
                             American Hey Hi (AI) leaders will be
                             eclipsed.


                      # ⚓ New York Times ☛ How_China_Is_Reacting_to_DeepSeek
                        Upending_the_Hey_Hi_(AI)_Race⠀⇛


                             Social media exploded in a celebration after
                             the news that a Chinese start-up had made an
                             artificial intelligence tool that was more
                             efficient than any in the United States.


                      # ⚓ Security Week ☛ DeepSeek_Blames_Disruption_on
                        Cyberattack_as_Vulnerabilities_Emerge⠀⇛


                             China’s DeepSeek blamed sign-up disruptions
                             on a cyberattack as researchers started
                             finding vulnerabilities in the R1 Hey Hi (AI)
                             model. 


                      # ⚓ What_does_DeepSeek_say_about_the_South_China_Sea?⠀⇛


                             Chinese Hey Hi (AI) tool prefers to stay away
                             from the ‘sensitive’ subject.


                      # ⚓ Science Alert ☛ DeepSeek_Is_Sending_Shockwaves_Around
                        The_World._Here's_Why.⠀⇛


                             A radical new Hey Hi (AI) has emerged.


                      # ⚓ New York Times ☛ How_DeepSeek_Changed_the_Hey_Hi_(AI)
                        Game⠀⇛


                             What is DeepSeek, and why did it cause the
                             markets and U.S. tech giants to quake? Cade
                             Metz, a technology reporter for The New York
                             Times who writes about artificial
                             intelligence, explains.


                      # ⚓ New York Times ☛ How_DeepSeek_Went_From_Stock_Trader
                        to_Hey_Hi_(AI)_Star⠀⇛


                             The little-known artificial intelligence firm
                             has emphasized research, even as it emerged
                             as the brainchild of a hedge fund.


                      # ⚓ New York Times ☛ Do_DeepSeek’s_Hey_Hi_(AI)_Advances
                        Mean_US_Tech_Controls_Have_Failed?⠀⇛


                             DeepSeek’s Hey Hi (AI) models show that China
                             is making rapid gains in the field, despite
                             American efforts to hinder it.


                      # ⚓ China’s_DeepSeek_has_close_ties_to_Beijing⠀⇛


                             Founder Liang Wenfeng recently met with
                             Premier Li Qiang to comment on his annual
                             work report.


                      # ⚓ France24 ☛ DeepSeek:_Convicted_Felon_warns_of_'wake-
                        up_call'_as_low-cost_Chinese_Hey_Hi_(AI)_jolts_sector⠀⇛


                             Fears of upheaval in the Hey Hi (AI) gold
                             rush rocked Wall Street on January 27
                             following the emergence of a popular ChatGPT-
                             like model from China, with US President The
                             Insurrectionist saying it was a 'wake-up
                             call' for Silicon Valley. France 24's Peter
                             O'Brien tells us more.


                      # ⚓ Atlantic Council ☛ What_DeepSeek’s_breakthrough_says_
                        (and_doesn’t_say)_about_the_‘AI_race’_with_China⠀⇛


                             DeepSeek’s achievement has not exactly
                             undermined the United States’ export control
                             strategy, but it does bring up important
                             questions about the broader US strategy on
                             AI.


                      # ⚓ Tom's Hardware ☛ Ex-Intel_CEO_Pat_Gelsinger_loads_up
                        on_Nvidia_stock,_says_the_market's_reaction_to_DeepSeek
                        is_wrong⠀⇛


                             The need for Hey Hi (AI) compute power will
                             not go anywhere and Nvidia will thrive, says
                             Pat Gelsinger.


                      # ⚓ Tom's Hardware ☛ Nvidia_loses_$589_billion_in_market
                        cap_—_broad_stock_plunge_triggered_by_DeepSeek_Hey_Hi_
                        (AI)_release⠀⇛


                             Nvidia stock prices plummet by 17% after the
                             release of DeepSeek. Investors nervous that
                             investing in more hardware is unnecessary to
                             develop advanced AI.


                      # ⚓ Tom's Hardware ☛ Scam_Altman_said_startups_with_only
                        $10_million_were_'totally_hopeless'_competing_with
                        OpenAI,_DeepSeek's_disruption_says_otherwise⠀⇛


                             Scam Altman's comments on the prospects of
                             Hey Hi (AI) startups may have come back to
                             bite him after the dramatic debut of
                             DeepSeek.


                      # ⚓ Hong Kong Free Press ☛ China’s_DeepSeek_Hey_Hi_(AI)
                        sends_‘wake-up_call’_to_Silicon_Valley,_says_The
                        Insurrectionist⠀⇛


                             Fears of upheaval in the Hey Hi (AI) gold
                             rush rocked Wall Street on Monday following
                             the emergence of a popular ChatGPT-like model
                             from China, with US President The
                             Insurrectionist saying it was a “wake-up
                             call” for Silicon Valley. Last week’s release
                             of the latest DeepSeek model initially
                             received limited attention, overshadowed by
                             the inauguration of Convicted Felon...


                      # ⚓ New York Times ☛ Vatican_Warns_About_the_Risks_of
                        Artificial_Intelligence⠀⇛


                             A new document examines the opportunities and
                             risks of Hey Hi (AI) and calls for “moral and
                             ethical considerations” to be enshrined in
                             all of its applications.


                      # ⚓ The Strategist ☛ DeepSeek_is_a_modern_Sputnik_moment
                        for_West⠀⇛


                             The release of China’s latest DeepSeek
                             artificial intelligence model is a strategic
                             and geopolitical shock as much as it is a
                             shock to stockmarkets around the world.


                      # ⚓ Silicon Angle ☛ DeepSeek_launches_Janus_Pro_Hey_Hi_
                        (AI)_image_model_it_claims_can_outperform_DALL-E⠀⇛


                             DeepSeek, the Chinese artificial intelligence
                             startup behind the release of the ultra-
                             popular DeepSeek Hey Hi (AI) chatbot and
                             provider of an alterative large language
                             model to OpenAI’s models such as ChatGPT,
                             launched a new cutting-edge Hey Hi (AI) image
                             generation model on Monday: Janus-Pro-7B.


                # § Social Control Media⠀➾


                      # ⚓ Hackaday ☛ It’s_Raining_From_The_BlueSky⠀⇛


                             Which would you rather feel? The blast of a
                             fire hose, or a cool, digital rain? That’s
                             what we thought. Introducing Blue Rain — the
                             fire hose that is the BlueSky feed, falling
                             semi-cryptically down your screen in Matrix-
                             style letter droplets. Ahh, isn’t that nice?


          o § Security⠀➾


                # § Privacy/Surveillance⠀➾


                      # ⚓ Hackaday ☛ Parcae:_A_Trio_Of_Spy_Satellites⠀⇛


                             Did you ever hear of a satellite called
                             Parcae (pronounced like park-eye)? If you
                             haven’t, don’t feel bad—it was, after all, a
                             top-secret project only revealed in July
                             2023. [Ivan Amato] not only heard about it,
                             but also wrote a fascinating peek into the
                             cloak-and-dagger world of cold-war spy
                             satellites for this month’s IEEE Spectrum.


                      # ⚓ Pen Test Partners ☛ How_Garmin_watches_reveal_your
                        personal_data,_and_what_you_can_do⠀⇛


                             TL;DR A walk-through of obtaining sensitive
                             data from a Garmin watch using forensic
                             techniques How digital forensics on a Garmin
                             watch helped solve a double murder case


          o § Defence/Aggression⠀➾


                # ⚓ ADF ☛ Puntland_Security_Forces_Recruit_Clans_in_the_Fight
                  Against_Islamic_State_Terrorists⠀⇛


                       Security forces in the Puntland region of Somalia
                       recently destroyed several operating bases for
                       Islamic State (IS-Somalia) in the Cal Miskaad
                       Mountains at the country’s northern tip.


                # ⚓ ADF ☛ Niger_Junta_Unable_to_Control_Rising_Extremist
                  Violence⠀⇛


                       Niger’s ruling junta took power in July 2023
                       promising to restore security to areas of the
                       country ravaged by extremist violence. More than 18
                       months later, the situation has only worsened.


                # ⚓ New York Times ☛ Faced_by_Convicted_Felon’s_Interest_in
                  Greenland,_Denmark_Will_Increase_Military_Spending_in
                  Arctic⠀⇛


                       The prime minister does a European tour while
                       announcing more spending on security around the
                       island, following President Convicted Felon’s
                       stated desire to have Greenland, a semiautonomous
                       Danish territory, as part of the U.S.


                # ⚓ JURIST ☛ HRW:_pregnant_women_in_Gaza_face_disproportionate
                  harm_amid_hostilities⠀⇛


                       Yevheniia Khoroshun contributed to this report. 
                       Human Rights Watch (HRW) reported Tuesday that
                       pregnant women in Gaza face disproportionate harm
                       from the Israel-Gaza conflict. The report
                       highlighted that women in Palestine face
                       “extraordinary challenges” in finding safe places
                       to give birth even when they face a high-risk
                       delivery due to food insecurity.


                # ⚓ JURIST ☛ US_Quaker_groups_sue_to_prevent_immigration
                  searches_in_houses_of_worship⠀⇛


                       Five Quaker groups filed a lawsuit Monday to stop
                       immigration agents from conducting raids in houses
                       of worship.


                # ⚓ New York Times ☛ Israel_Is_Urged_to_Reverse_Course_on
                  Palestinian_Aid_Agency_Ban⠀⇛


                       Diplomats at the United Nations Security Council
                       said planned restrictions on the agency, UNRWA,
                       would imperil Palestinians. Only the U.S. sides
                       with Israel.


                # ⚓ New York Times ☛ U.S._Halt_to_Foreign_Aid_Cripples_Programs
                  Worldwide⠀⇛


                       Many of the frozen programs are aimed at
                       alleviating disease and malnutrition, but even
                       security programs with U.S. funding are shutting
                       down.


                # ⚓ Defence Web ☛ Legoete_calls_for_more_SANDF_funding_amid
                  ‘security_lapse’_in_the_DRC⠀⇛


                       The Chairperson of the Portfolio Committee on
                       Defence and Military Veterans (PCDMV) Dakota
                       Legoete has said South Africa is facing a ‘security
                       lapse’ in the Democratic Republic of Congo (DRC)
                       following the deaths of 13 soldiers, and
                       consequently is ‘becoming a joke’.


                # ⚓ The Straits Times ☛ Thailand_denies_mistreating_detained
                  gambling_tycoon_wanted_by_China⠀⇛


                       BANGKOK - Thailand denies abusing a jailed gambling
                       tycoon fighting extradition to China over charges
                       he ran illegal online gambling operations in
                       Southeast Asia, the country's justice minister said
                       on Tuesday.


                # ⚓ New York Times ☛ Israel_Says_8_of_the_26_Hostages_That
                  Hamas_Is_Expected_to_Release_Are_Dead⠀⇛


                       An accounting provided by Hamas over the weekend
                       confirmed intelligence assessments, Israeli
                       officials said.


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


                      # ⚓ Meduza ☛ ‘Something_flickered_across_his_face’_A
                        decade_ago,_a_woman’s_disappearance_rocked_the_Russian
                        city_of_Tomsk._A_spelling_error_pointed_to_the_culprit.
                        —_Meduza⠀⇛


                      # ⚓ Meduza ☛ ‘How_do_you_even_f—?”_In_Russia’s_anti-queer
                        crackdown,_police_have_spent_years_raiding_nightclubs,
                        private_parties,_and_medical_institutions._Now,_the
                        authorities_have_the_data_for_another_Great_Terror._—
                        Meduza⠀⇛


                      # ⚓ Meduza ☛ Buyers_and_ports_in_China_and_India_steer
                        clear_of_sanctioned_tankers,_stalling_Russia’s_oil
                        trade_—_Meduza⠀⇛


                      # ⚓ RFERL ☛ Ukraine_Giving_Up_Nukes_Was_'Absolutely
                        Stupid,_Illogical_And_Very_Irresponsible,'_Zelenskiy
                        Says⠀⇛


                             Ukrainian President Volodymyr Zelenskiy said
                             he was optimistic about U.S. pressure on
                             Moscow to end Russia’s all-out war on
                             Ukraine, according to a new interview, though
                             he said he thought President The
                             Insurrectionist was unclear how to do that.


          o § Environment⠀➾


                # ⚓ Science Alert ☛ A_Vast_Swathe_of_The_Arctic_Has_Turned_Into
                  a_Carbon_Emitter⠀⇛


                       One of Earth's largest carbon sinks has
                       transformed.


                # § Energy/Transportation⠀➾


                      # ⚓ New York Times ☛ India,_China_to_Resume_Direct
                        Flights_After_Nearly_Five_Years⠀⇛


                             It was the latest thaw in relations between
                             the two countries, whose troops were involved
                             in deadly skirmishes high in the Himalayas in
                             2020.


                      # ⚓ The Straits Times ☛ Images_show_China_building_huge
                        fusion_research_facility,_analysts_say⠀⇛


                             The facility appears to be 50 per cent bigger
                             than the world's largest, located in the US.


                      # ⚓ Science Alert ☛ 'Artificial_Sun'_Blazes_Past_1,000
                        Seconds_in_New_Fusion_Record⠀⇛


                             The potential is incredible.


                      # ⚓ Security Week ☛ Hackers_Drain_Over_$85_Million_From
                        Crypto_Exchange_Phemex [Ed: Fake_'money'_anyway]⠀⇛


                             Hackers stole more than $85 million in crypto
                             assets from hot wallets at cryptocurrency
                             exchange Phemex.


                # § Wildlife/Nature⠀➾


                      # ⚓ NYPost ☛ Dolphins_forced_to_survive_in_shocking
                        conditions_at_luxury_resort_— just_feet_from_the_ocean:
                        ‘Like_jailed_criminals’⠀⇛


                             The finned creatures are kept to entertain
                             hotel guests — but activists aren't amused.


                      # ⚓ Science Alert ☛ The_Most_Active_Volcano_in_The
                        Northeast_Pacific_Is_Preparing_to_Erupt⠀⇛


                             Get ready for it.


          o § Finance⠀➾


                # ⚓ Star Tribune ☛ Minnetonka_e-commerce_company_Digital_River
                  closing,_laying_off_122⠀⇛


                       The company survived the dot-com bubble and boasted
                       high-profile clients, including Microsoft.


                # ⚓ The Business Journals ☛ Digital_River_closing_headquarters,
                  laying_off_employees⠀⇛


                       The company, once a highlight of the Twin Cities
                       technology scene, said in a WARN notice filed with
                       the state of Minnesota that it would permanently
                       lay off all employees at its headquarters at 10380
                       Bren Road W., including those working remotely. The
                       job cuts are effective March 28.


                # ⚓ The Stack ☛ Firing_10,000_staff_cost_SAP_€2.5_billion_-_and
                  that_EOL_deadline's_not_moving⠀⇛


                       SAP profits slumped an eye-watering 47% in 2024 on
                       “restructuring expenses of €3.1 billion” due in
                       large part to its 2024 “transformation program”
                       which saw ~10,000 staff including “expensive
                       resources” laid off.


                       The figures (€2.5 billion was for payouts) were a
                       blot on an otherwise highly successful year for
                       SAP, which it reported on January 28.


                       Total revenues for 2024 were €34.176 billion, up
                       10%. SAP also boasted of a €63 billion “cloud
                       backlog” (contractually committed cloud revenue SAP
                       expects to recognize over 12 months) on the Q4
                       earnings call.


                # ⚓ Legoland_Florida_plans_to_layoff_234_workers_who_are_mostly
                  performers⠀⇛


                       Legoland Florida plans to lay off 234 workers,
                       primarily performers, in an effort to be more
                       competitive in central Florida's thriving theme
                       park market, company officials said.


                       The theme park resort in Winter Haven, Florida,
                       said in a notice to the state of Florida last
                       Friday that the permanent layoffs would start at
                       the end of March and last through the beginning of
                       April.


          o § AstroTurf/Lobbying/Politics⠀➾


                # ⚓ Moveable_feasts:_Asia_offers_many_ways_–_and_dates_–_to
                  celebrate_the_New_Year⠀⇛


                       Hundreds of millions will celebrate the Lunar New
                       Year in China, Korea and Vietnam.


                # ⚓ The Straits Times ☛ Senators_raise_concern_about_Chinese
                  influence_on_Panama_Canal_operations⠀⇛


                       A bipartisan group of U.S. senators on Tuesday
                       expressed alarm at China's influence on the Panama
                       Canal, which President The Insurrectionist has
                       vowed the United States would take back.


                # ⚓ Latvia ☛ Government_approves_concept_of_centralized_crisis
                  management_in_Latvia⠀⇛


                       On Tuesday, January 28, the government adopted a
                       number of draft laws to establish a Crisis
                       Management Center in Latvia.


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


                # ⚓ Press Gazette ☛ BBC_News_digital_director_Naja_Nielsen_to
                  exit_for_Swedish_broadcaster⠀⇛


                       Nielsen is leaving the corporation after almost six
                       years to join Swedish public broadcaster SVT.


                # ⚓ Press Gazette ☛ Daily_Star_editor_Jon_Clark_to_leave_amid
                  new_digital-first_strategy⠀⇛


                       Ex-Mirror online editor Ben Rankin to become Daily
                       Star Online editor-in-chief.


      § Monopolies/Monopsonies⠀➾





                    ䷩ 𝚕𝚒𝚗𝚎 3181

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Links 30/01/2025: Fentanylware (TikTok)
Causes Deaths, FBI Seizes Domains⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jan 30, 2025


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


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * Leftovers
          o Standards/Consortia
          o Science
          o Hardware
          o Health/Nutrition/Agriculture
          o Proprietary
          o Security
                # Integrity/Availability/Authenticity
          o Defence/Aggression
          o Environment
                # Energy/Transportation
                # Overpopulation
          o Finance
          o Censorship/Free_Speech
          o Freedom_of_Information_/_Freedom_of_the_Press
          o Civil_Rights/Policing
          o Internet_Policy/Net_Neutrality
          o Monopolies/Monopsonies
                # Patents
    * § Leftovers⠀➾


          o ⚓ Hong Kong Free Press ☛ HKFP_Lens:_Scenes_from_Macau_shot_by
            Portuguese_photojournalist_Gonçalo_Lobo_Pinheiro⠀⇛


                 Portuguese photojournalist Gonçalo Lobo Pinheiro has
                 spent 14 years documenting life in Macau.


          o § Standards/Consortia⠀➾


                # ⚓ LWN ☛ LWN_in_EPUB_format⠀⇛


                       For years we have had occasional requests to be
                       able to receive LWN in


                       a format for ebook readers. It took a while, but we
                       are now happy to


                       announce that all of LWN's feature content is
                       available, to subscribers at


                       the "professional hacker" level and above, in the
                       EPUB format.


                # ⚓ DomainTools ☛ What’s_RDAP_and_Whereis_Whois?⠀⇛


                       Whois has been the protocol to communicate domain
                       registration for over 40 years. While the protocol
                       is well understood, it’s dated; Whois records are
                       text files that are easy for human reading but poor
                       for machine processing. RDAP, or Registration Data
                       Access Protocol, was introduced in 2015 to be a
                       replacement for Whois. It was designed from the
                       ground up to be machine readable and addresses many
                       of the shortcomings of Whois.


                # ⚓ Digital Camera World ☛ What_is_a_JPEG_file_type?_Why_the
                  most_common_image_format_may_not_be_the_best_option_for
                  photography⠀⇛


                       If you want to share a digital photograph, the odds
                       are the file type that you want is a JPEG. But just
                       because the JPEG is one of the most widely used
                       formats doesn’t mean it’s always the best option.
                       Photographers – and anyone who has ever snapped a
                       photo with a camera or a smartphone – should know
                       what a JPEG is, when to use one, and when not to
                       use one. Consider this your Photography 101 course
                       to the ins and outs of a JPEG.


          o § Science⠀➾


                # ⚓ New York Times ☛ Why_Convicted_Felon_Picked_a_Science
                  Advisor,_Michael_Kratsios,_Who_Isn’t_a_Scientist⠀⇛


                       Michael Kratsios, who served in the White House and
                       Defense Department in the first Convicted Felon
                       administration, is a policy specialist on
                       artificial intelligence.


                # ⚓ Science Alert ☛ The_Ocean_Surface_Is_Warming_Over_400%
                  Faster_Than_in_The_1980s⠀⇛


                       "The hot tap is running much faster."


                # ⚓ Science Alert ☛ Our_Moon_Was_Geologically_Active_Just_a
                  'Hot_Minute'_Ago,_Study_Finds⠀⇛


                       Not as dead as we thought?


                # ⚓ Science Alert ☛ Breakthrough_Discovery:_Asteroid_Fragments
                  Reveal_Ingredients_For_Life⠀⇛


                       Here's what that means.


                # ⚓ Science Alert ☛ 'Unusual_Find':_66-Million-Year-Old
                  Fossilized_Vomit_Discovered⠀⇛


                       Is there carrot in it?


                # ⚓ Science Alert ☛ Watch_Live_as_NASA_Astronauts_Collect
                  Microbe_Samples_During_Spacewalk⠀⇛


                       What’s lurking on the ISS exterior?


          o § Hardware⠀➾


                # ⚓ Ruben Schade ☛ The_Kinesis_mWave_Keyboard⠀⇛


                       I’ve talked here about my preference for split
                       keyboards, though I currently_don’t_use_one. I
                       loved my family’s original Abusive Monopolist
                       Microsoft Natural Keyboard in particular, and I
                       used_the_2019_model for several years in spite of
                       its mushy keys.


                       Kinesis, known for their ergonomic kit, has
                       announced a mechanical board with a similar split
                       design to the Natural Keyboard.


                # ⚓ Tom's Hardware ☛ TSMC_founder_says_Tim_Cook_told_him_in
                  2011_that_defective_chip_maker_Intel_did_not_know_how_to_be_a
                  foundry⠀⇛


                       Founder of TSMC remembers how his company managed
                       to land a supply contract with Apple.


          o § Health/Nutrition/Agriculture⠀➾


                # ⚓ Public Knowledge ☛ Public_Knowledge_Rejects_Banning_Kids
                  from_Social_Media [Ed: Public Knowledge, with Microsoft in
                  its Board, insists that digital weapons should continue to
                  target children, based on flawed logic]⠀⇛


                       Today, Senators Brian Schatz (D-Hawaii), Ted Cruz
                       (R-Texas), and other co-sponsors reintroduced the
                       “Kids Off Social Media Act” (KOSMA) to ban minors
                       under the age of 13 from using social control media
                       platforms.


                # ⚓ Ruben Schade ☛ Useful_dreams⠀⇛


                       This was a draft post from 2021. Not sure why I
                       didn’t post it.


                       Douglas Heingartner shared the findings of a Danish
                       research paper in Psych_News_Daily which suggested
                       a majority of respondents have useful dreams:


                       The results showed that 62% of the participants
                       said they’d had dreams that were of help, or of
                       good use. About 56% said they’d had dreams that
                       influenced their opinions about others, and 54% had
                       had dreams that changed their behavior. [..]


                       Among the 62% of respondents who reported having
                       had helpful dreams, the most frequently-cited area
                       of help was in assisting with creative tasks. This
                       was followed close behind by emotional problem-
                       solving, with “providing personal insight” coming
                       in third. [..]


                # ⚓ University of Michigan ☛ Democrats_need_a_MAHA_makeover⠀⇛


                       As a kid, I found out I reacted poorly to
                       artificial food dyes. Amid an American culture of
                       sugar and dye indulgence, it was torture to
                       navigate my restrictive health problems. At the
                       time, former first lady Michelle Obama was leading
                       the charge to improve the health of American
                       children and reform our food system.


                # ⚓ Science Alert ☛ Leading_Cause_of_Death_in_US_Claims_A_Life
                  Every_34_Seconds⠀⇛


                       Most cases are preventable.


                # ⚓ Science Alert ☛ Surprising_Link_Between_Menthol_And
                  Alzheimer's_Discovered_in_Mice⠀⇛


                       Could inhaling menthol help fight the disease?


                # ⚓ Science Alert ☛ [Algorithm]_Can_Predict_Breast_Cancer_Risk
                  Years_Before_Diagnosis,_Study_Finds⠀⇛


                       This could save thousands of lives each year.


                # ⚓ Science Alert ☛ Babies_Learn_Language_Even_Earlier_Than_We
                  Realized,_Study_Reveals⠀⇛


                       They're watching you.


                # ⚓ Science Alert ☛ Microbes_in_Your_Mouth_May_Impact_Your_Risk
                  of_Cognitive_Decline⠀⇛


                       Food for thought.


                # ⚓ Science Alert ☛ Tuberculosis_Outbreak_in_Kansas_Is_Among
                  Largest_on_Record_in_US⠀⇛


                       "This outbreak is still ongoing."


                # ⚓ The Straits Times ☛ Japan_sees_record_number_of_suicides
                  among_students_in_2024⠀⇛


                       The exact reason is unknown but it may have to do
                       with studies, bullying, relationships and career
                       choices.


          o § Proprietary⠀➾


                # ⚓ The Next Platform ☛ Azure_Can’t_Make_Up_For_On_Premise
                  Profit_Decline_At_Microsoft⠀⇛


                       If you think it might be difficult to sell
                       companies general purpose servers when they are
                       frenzied about GenAI and trying to figure out how
                       to get GPU-accelerated systems, you ought to try to
                       convince the same companies to upgrade to
                       backdoored Windows Server 2025, which launched last
                       November.


                # § Artificial Intelligence (AI)⠀➾


                      # ⚓ Sergio_Talens-Oliag:_Testing_DeepSeek_with_Ollama_and
                        Open_WebUI⠀⇛


                             With all the recent buzz about DeepSeek and
                             its capabilities, I’ve decided to give it a
                             try using Ollama and Open_WebUI on my work
                             laptop which has an NVIDIA GPU: [...]


                      # ⚓ Cloudbooklet ☛ DeepSeek_Download_Tops_No_1_Spot_in
                        App_Store⠀⇛


                             See how DeepSeek claims the No. 1 spot on
                             Apple’s App Store, offering users a more
                             intuitive and dynamic Hey Hi (AI) experience
                             that stands out in the market!


                      # ⚓ New York Times ☛ DeepSeek_Shows_Meta’s_Hey_Hi_(AI)
                        Strategy_Is_Working⠀⇛


                             The Silicon Valley giant was criticized for
                             giving away its core Hey Hi (AI) technology
                             two years ago for anyone to use. Now that bet
                             is having an impact.


                      # ⚓ Tom's Hardware ☛ AMD_claims_RX_7900_XTX_outperforms
                        RTX_4090_in_DeepSeek_benchmarks⠀⇛


                             AMD has published benchmarks of DeepSeek's
                             Hey Hi (AI) model with its flagship RX 7900
                             XTX that show the GPU outperforming both the
                             Nvidia RTX 4090 and RTX 4080 Super using
                             DeepSeek R1.


                      # ⚓ Tom's Hardware ☛ Ex-Intel_CEO_Pat_Gelsinger's_startup
                        chose_China's_DeepSeek_instead_of_OpenAI⠀⇛


                             Pat Gelsinger credited DeepSeek's creative
                             engineering for driving competition and
                             making Hey Hi (AI) more affordable.


                      # ⚓ The Straits Times ☛ DeepSeek’s_‘Sputnik_moment’
                        exposes_holes_in_US_chip_curbs⠀⇛


                             For years, many assumed that the US would
                             dominate in the field of artificial
                             intelligence.


                      # ⚓ Ruben Schade ☛ genAI’s_also_killed_irony⠀⇛


                             Mashable:


                             Now, Proprietary Chaffbot Company and Abusive
                             Monopolist Microsoft are hitting back at
                             DeepSeek. The companies claim they have
                             evidence that the Chinese company trained
                             their Hey Hi (AI) model by using data it had
                             lifted from OpenAI.


                      # ⚓ Tom's Hardware ☛ AMD_released_instructions_for
                        running_DeepSeek_on_Ryzen_Hey_Hi_(AI)_CPUs_and_Radeon
                        GPUs⠀⇛


                             AMD has provided instructions on how to run
                             DeepSeek R1 on its latest consumer-based
                             Ryzen Hey Hi (AI) and RX 7000 series CPUs and
                             GPUs.


                      # ⚓ Silicon Angle ☛ Alibaba_unveils_Qwen_2.5-Max_Hey_Hi_
                        (AI)_model,_saying_it_outperforms_DeepSeek-V3⠀⇛


                             Alibaba Cloud, the clown computing arm of
                             China’s Alibaba Group Ltd., has released its
                             latest breakthrough artificial intelligence
                             large language model just in time for the
                             Chinese New Year: Qwen 2.5-Max, which it
                             claims surpasses today’s most powerful Hey Hi
                             (AI) models.


                      # ⚓ Silicon Angle ☛ Google_report_finds_state-based
                        hackers_are_using_Hey_Hi_(AI)_for_research_and_content
                        generation⠀⇛


                             A new report released today by Surveillance
                             Giant Google LLC’s Threat Intelligence Group
                             details how advanced persistence threat
                             groups and coordinated information operations
                             actors from countries such as China, Iran,
                             Russia and North Korea are using generative
                             artificial intelligence in their campaigns —
                             but despite some headlines to the contrary,
                             it’s not quite as bad [...]


                      # ⚓ Tom's Hardware ☛ DeepSeek's_Hey_Hi_(AI)_breakthrough
                        bypasses_industry-standard_CUDA_for_some_functions,
                        uses_Nvidia's_assembly-like_PTX_programming_instead⠀⇛


                             DeepSeek used PTX ISA to fine-tune its Hey Hi
                             (AI) model training.


                # § Social Control Media⠀➾


                      # ⚓ The Straits Times ☛ TikTok_to_invest_$5_billion_in
                        Thailand_data_hosting_project,_investment_board_says⠀⇛


                             The Chinese firm’s investment was made by its
                             Singapore-based unit.


                      # ⚓ The Straits Times ☛ American-born_girl_shot_dead_by
                        father_in_Pakistan_over_Fentanylware_(TikTok)_videos⠀⇛


                             The family recently returned to Pakistan
                             after living in the US for about 25 years.


          o § Security⠀➾


                # § Integrity/Availability/Authenticity⠀➾


                      # ⚓ Latvia ☛ Scammers_got_at_least_€15.5_million_from
                        Latvians_last_year⠀⇛


                             €15.5 million was defrauded from customers of
                             Latvia's four biggest banks last year, with
                             the people themselves confirming the
                             payments. The most popular fraud methods
                             remain the same: phone calls, text messages,
                             and investment scams, Latvian Radio reported
                             on January 29.


                      # ⚓ Scoop News Group ☛ FBI_seizes_major_cybercrime_forums
                        in_coordinated_domain_takedown⠀⇛


                             The domains for Cracked and Nulled now
                             redirect to FBI-controlled servers.


                      # ⚓ Silicon Angle ☛ FBI_seizes_domains_of_Cracked.io_and
                        Nulled.to_in_latest_cybercrime_crackdown⠀⇛


                             The U.S. Federal Bureau of Investigation has
                             seized the domain names of infamous hacking
                             forums Cracked.io and Nulled.to in the latest
                             crackdown on cybercrime. Although the FBI has
                             released no statement on the seizures,
                             visitors to the forums were presented with a
                             banner stating that “this website has been
                             seized” as part of “Operation Talent.”


          o § Defence/Aggression⠀➾


                # ⚓ Defence Web ☛ SAAF_criticised_for_holding_golf_day_amid_DRC
                  crisis⠀⇛


                       Senior members of the South African National
                       Defence Force (SANDF) are facing a backlash for
                       holding a South African Air Force (SAAF) golf day
                       at Copperleaf Golf Estate in Centurion while
                       soldiers fight for their lives in the Democratic
                       Republic of Congo (DRC).


                # ⚓ Defence Web ☛ More_calls_for_SANDF_funding_rethink_and
                  withdrawal_from_the_DRC⠀⇛


                       The chorus of calls for South Africa to properly
                       resource its military and withdraw its troops from
                       the Democratic Republic of Congo (DRC) continue
                       after 13 SA National Defence Force (SANDF) soldiers
                       were killed there over the last week.


                # ⚓ Does_a_photo_show_Taiwan_cargo_officials_apologizing_to
                  China_for_shipping_US_tanks?⠀⇛


                       Verdict: False.


                # ⚓ New York Times ☛ In_Photos:_The_Aftermath_of_the_Maha_Kumbh
                  Mela_Stampede⠀⇛


                       Many were feared dead after millions of Hindu
                       pilgrims at a huge Hindu festival in India rushed
                       to bathe in holy river waters.


                # ⚓ Chronicle Of Higher Education ☛ Dictator_Threatens_to
                  Deport_International_Students_and_Scholars_Who_Protested_the
                  War_in_Gaza⠀⇛


                       The president’s message came in a new executive
                       order on combating antisemitism. Some legal experts
                       are skeptical.


                # ⚓ France24 ☛ Dictator_reiterates_Gaza_expulsion_plan_–_and
                  stokes_security_fears⠀⇛


                       US President The Insurrectionist’s suggestion that
                       Egypt and Jordan should absorb Palestinians from
                       Gaza has gotten no takers in the Arab world,
                       shocked US allies like France and Germany, and
                       threatens to strengthen Hamas.


                # ⚓ New York Times ☛ Israel_Urged_to_Reverse_UNRWA_Ban⠀⇛


                       Diplomats at the United Nations Security Council
                       said planned restrictions on the agency, UNRWA,
                       would imperil Palestinians. Only the U.S. sides
                       with Israel.


                # ⚓ JURIST ☛ Italy_PM_Giorgia_Meloni_investigated_for_release
                  of_Libya_police_chief_following_ICC_warrant⠀⇛


                       Italian Prime Minister Giorgia Meloni was put under
                       investigation on Tuesday for the release and
                       repatriation of Lybian police chief Osama Almasri
                       Njeem. Prosecutor Francesco Lo Voi opened
                       investigations against Giorgia Meloni for allegedly
                       aiding and abetting Almasri. This occurred
                       following a lawsuit issued by Italian lawyer Luigi
                       Li Gotti.


                # ⚓ The Straits Times ☛ Philippines_eyes_stricter_anti-spy_laws
                  as_fears_of_foreign_espionage_grow⠀⇛


                       The move comes as tensions mount over the South
                       China Sea.


                # ⚓ France24 ☛ "Bad_news_for_democracy",_analyst_says_as
                  Germany's_far-right_'firewall'_crumbles⠀⇛


                       Weeks before Germany's elections, a heated
                       immigration debate inflamed by a deadly knife
                       attack sparked a political earthquake Wednesday
                       when conservative parties for the first time
                       cooperated with the far-right AfD. FRANCE 24's
                       Yinka Oyetade speaks to Sophie Pornschlegel, Deputy
                       Director at Europe Jacques Delors. She says that
                       the move is "bad news for democracy in Germany", as
                       it will hinder the formation of a solid working
                       coalition in the upcoming general election.


                # ⚓ France24 ☛ HTS_rebel_leader_Ahmed_al-Sharaa_is_named
                  interim_president_of_Syria⠀⇛


                       Ahmed al-Sharaa, better known by his nom de guerre
                       Abu Mohammed al-Jolani, was declared Syria's head
                       of state for a transitional phase and empowered to
                       form a new legislative council, state media
                       reported Wednesday. After an Islamist rebel
                       alliance toppled Bashar al-Assad's regime in
                       December, their leader al-Sharaa took over as de
                       facto leader.


                # ⚓ France24 ☛ Return_to_Damascus:_How_to_build_the_new
                  Syria?⠀⇛


                       For exiled Syrians, this is their Berlin Wall
                       moment—the doors to a homeland they thought they’d
                       never see again suddenly swinging open. The heady
                       days following December 8th and the fall of Assad’s
                       seemingly immovable regime have brought an
                       unexpected Christmas gift: a return to
                       Damascus. But as the initial euphoria fades, clear-
                       eyed Syrians know better than to declare, “And they
                       all lived happily ever after.” The lessons of the
                       Arab Spring loom large, and the challenges ahead
                       are daunting. How to navigate a landscape shaped by
                       heavily armed factions—sometimes allies, sometimes
                       rivals? What to do with thousands of civil servants
                       and state security employees left unpaid since
                       Assad’s fall? And as the international community
                       moves to lift sanctions, the bigger question
                       remains: how to channel money and efforts toward
                       rebuilding a Syria that is not just revived, but
                       reimagined.


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


                      # ⚓ Cambodian_gov’t_official_denies_role_in_Bangkok
                        shooting_of_opposition_critic⠀⇛


                             Khliang Huot was heard discussing crackdown
                             on Thailand-based activists in audio clips
                             posted to Facebook (Farcebook) last year


                      # ⚓ RFERL ☛ Putin_Says_Ready_For_Peace_Talks,_But_Not
                        With_'Illegitimate'_Zelenskyy⠀⇛


                             Russian President Vladimir Putin has again
                             ruled out direct peace talks with Ukrainian
                             President Volodymyr Zelenskyy whom he called
                             "illegitimate," prompting the Ukrainian
                             leader to accuse Putin of being "afraid" of
                             negotiating a settlement to the almost three-
                             year-old war.


                      # ⚓ RFERL ☛ Ukraine_Strikes_Russian_Oil_Refinery_In_Major
                        Attack_On_Energy_Infrastructure⠀⇛


                             Officials in multiple Russian regions
                             reported major Ukrainian drone strikes
                             overnight targeting energy infrastructure,
                             including a nuclear power site, while the
                             Ukrainian and Russian presidents exchanged
                             insults over the possibility of peace
                             negotiations.


                      # ⚓ RFERL ☛ Ukraine_Giving_Up_Nukes_Was_'Absolutely
                        Stupid,_Illogical,_And_Very_Irresponsible,'_Zelenskyy
                        Says⠀⇛


                             Ukrainian President Volodymyr Zelenskyy said
                             he was optimistic about U.S. pressure on
                             Moscow to end Russia’s all-out war on
                             Ukraine, according to a new interview, though
                             he said he thought President The
                             Insurrectionist was unclear how to do that.


                      # ⚓ France24 ☛ Petro_Poroshenko:_'We_should_not_only_win
                        the_war,_we_should_win_the_peace'⠀⇛


                             When he was Ukraine’s president, Petro
                             Poroshenko says he knew how to get along with
                             The Insurrectionist. The leader of the
                             opposition European Solidarity party tells
                             François Picard about how to handle the new
                             administration in Washington and confirms
                             that he’s ready when the time comes to throw
                             his hat in the ring for a return to power.
                             But it's not time for elections, he explains.
                             "You can't have elections and unity", Ukraine
                             can only win this battle by "demonstrating
                             strength through unity", alongside Europe,
                             the US. The Russian president only
                             understands "the language of strength." Mr.
                             Poroshenko says that Putin wants "all of
                             Ukraine" and wants him dead. "But I will not
                             leave. Try to find a compromise between
                             that!" And so here's Mr. Poroshenko's vision
                             for victory: "No compromise on sovereignty,
                             national identity, territorial integrity, the
                             armed forces, Russian sanctions, and no
                             compromise on future EU and NATO membership.
                             "Everything else is possible!"


                      # ⚓ Atlantic Council ☛ Can_increased_energy_sector
                        sanctions_pressure_Putin_into_peace_talks?⠀⇛


                             US President The Insurrectionist has warned
                             Russia that he will impose economic measures
                             including taxes, tariffs, and sanctions
                             unless Russian President Vladimir Putin
                             agrees to end the war in Ukraine, writes Aura
                             Sabadus.


                      # ⚓ Atlantic Council ☛ The_West_must_study_the_success_of
                        Ukraine’s_Special_Operations_Forces⠀⇛


                             The success of Ukraine’s Special Operations
                             Forces in the war against Russia can provide
                             a range of valuable lessons for Kyiv's
                             Western partners that will shape military
                             doctrines for years to come, writes Doug
                             Livermore.


                      # ⚓ France24 ☛ A_US_shutdown_on_foreign_aid_is_hitting
                        from_Africa_to_Asia_to_Ukraine⠀⇛


                             U.S.-funded aid programs around the world
                             were firing staff and shutting down or
                             preparing to stop operations, as the
                             Convicted Felon administration's
                             unprecedented freeze on almost all foreign
                             assistance brought their work to a sudden
                             halt. FRANCE 24's Charli James reports


                      # ⚓ LRT ☛ Migration_to_Lithuania:_more_Filipinos,_fewer
                        Ukrainians⠀⇛


                             Lithuania’s migration policy favours the
                             Philippines, says the chief of the Migration
                             Department, while a growing number of
                             residence permit holders also come from India
                             and Bangladesh.


                      # ⚓ RFERL ☛ Investigation:_How_China_Feeds_Critical_Rare
                        Minerals_To_Russia's_War_Machine⠀⇛


                             An investigation by RFE/RL’s Schemes has
                             found that companies at least partially owned
                             by the Chinese state are feeding critical
                             minerals to Russian suppliers to
                             manufacturers of weapons the Kremlin has used
                             to pummel Ukraine since its all-out invasion
                             nearly three years ago.


                      # ⚓ RFERL ☛ Zelenskyy_Presses_Ukraine's_Cause_With
                        Gathered_World_Leaders_In_Poland⠀⇛


                             Ukrainian President Volodymyr Zelenskyy
                             pressed efforts to bolster support as world
                             leaders gathered in Poland to mark the 80th
                             anniversary of the Auschwitz death camp
                             liberation, while on the battlefield Russian
                             forces pressed their assault on Pokrovsk,
                             their major target over recent months.


                      # ⚓ New York Times ☛ Russia_Seizes_Another_Town_in
                        Ukraine_in_Push_to_Take_All_of_Donetsk⠀⇛


                             Moscow’s troops used the same pincer tactic
                             on Velyka Novosilka that has enabled their
                             recent capture of town after town in eastern
                             Ukraine.


                      # ⚓ Meduza ☛ Russia_confirms_capture_of_Australian_who
                        fought_for_Ukraine_—_Meduza⠀⇛


                      # ⚓ Meduza ☛ Ukraine’s_defense_minister_is_being
                        investigated_for_abuse_of_power_—_and_could_face_up_to
                        six_years_in_prison_—_Meduza⠀⇛


                      # ⚓ Atlantic Council ☛ Bigger_than_the_Berlin_Airlift:
                        How_NATO’s_natural_gas_shut_down_a_key_Russian
                        pipeline⠀⇛


                             NATO's formidable defense of Europe against
                             Russian energy aggression has shut down one
                             of the last natural gas connections between
                             the EU and Russia. These efforts are
                             reminiscent of the 1948 Berlin Airlift, and
                             mark a moment in geopolitics, energy
                             security, and climate progress that merits
                             celebration.


                      # ⚓ LRT ☛ Over_700_Russians,_Belarusians_deemed_threat_to
                        Lithuania’s_security_last_year⠀⇛


                             Last year, 598 Belarusian and 125 Russian
                             citizens were recognised as a threat to
                             Lithuania’s state security, public order, or
                             human health, the Migration Department
                             reported on Wednesday.


                      # ⚓ Press Gazette ☛ Law_firm_OK_to_represent_Russian
                        warlord_against_UK_editor,_legal_watchdog_rules⠀⇛


                             Bellingcat editor Eliot Higgins lost £70,000
                             defending against the spurious claim.


                      # ⚓ Meduza ☛ So,_the_head_of_the_Russian_Orthodox_Church
                        wants_to_ban_Satanism_Meduza_explains_how_the_crackdown
                        would_expand_‘anti-extremism’_policing_and_expose_new
                        ideological_hypocrisies_—_Meduza⠀⇛


                      # ⚓ Meduza ☛ Russian_court_reduces_sentences_of_prison
                        guards_who_tortured_and_raped_inmate,_allowing_for
                        their_early_release_—_Meduza⠀⇛


                      # ⚓ Meduza ☛ Russian_authorities_sign_contracts_to_send
                        orphans_and_disabled_children_to_oil-polluted_Black_Sea
                        beaches_—_Meduza⠀⇛


                      # ⚓ Meduza ☛ Syria’s_new_authorities_call_on_Russia_to
                        ‘take_past_mistakes_into_account’_and_pay_compensation
                        —_Meduza⠀⇛


                      # ⚓ Meduza ☛ E.U._proposes_disconnecting_15_Russian_banks
                        from_SWIFT_as_part_of_new_sanctions_package_—_Bloomberg
                        —_Meduza⠀⇛


                      # ⚓ Meduza ☛ Kyiv_mayor_accuses_new_military
                        administration_head_of_trying_to_‘unbalance_power’_in
                        the_city,_asks_Zelensky_to_intervene_—_Meduza⠀⇛


                      # ⚓ Meduza ☛ ‘Doing_everything_he_can_to_drag_out_the
                        war’_Zelensky_slams_Putin’s_claim_that_he’s_open_to
                        talks_but_that_Ukrainian_president_can’t_sign_peace
                        deal_—_Meduza⠀⇛


                      # ⚓ LRT ☛ Lithuania’s_intelligence_chief_wants_tougher
                        punishments_for_spying⠀⇛


                             People should face tougher punishments for
                             spying for another country, Darius Jauniškis,
                             director of Lithuania’s State Security
                             Department, has said.


          o § Environment⠀➾


                # § Energy/Transportation⠀➾


                      # ⚓ The Straits Times ☛ Bangladesh_train_services_resume
                        after_strike_called_off⠀⇛


                             DHAKA - Train services in Bangladesh resumed
                             on Wednesday after railway workers ended
                             their indefinite strike, which had brought
                             the country’s rail network to a halt.


                      # ⚓ NYPost ☛ Fox_News_reads_transcript_from_Air_Traffic
                        Control_on_the_aircraft_collision_near_Reagan_National
                        Airport⠀⇛


                             The Associated Press released a transcript of
                             Air Traffic Control trying to contact the
                             military helicopter that crashed into a
                             passanger jet while attempting to land at
                             Ronald Reagan National Airport.


                      # ⚓ New York Times ☛ The_Citizen_Scientists_of
                        Fukushima⠀⇛


                             Armed with measuring devices, groups of
                             citizens are embracing science to monitor
                             radioactive fallout — and regain control of
                             lives upended by the 2011 meltdowns in
                             Fukushima.


                # § Overpopulation⠀➾


                      # ⚓ Overpopulation ☛ The_Need_For_More_Wilderness
                        Preservation⠀⇛


                             In a picture essay with stunning photos from
                             all around the United States, ecologist and
                             author George Wuerthner highlights how
                             valuable wilderness preservation is for both
                             wildlife and human societies. >


          o § Finance⠀➾


                # ⚓ Green Party UK ☛ “The_idea_that_we_have_to_choose_between
                  economic_prosperity_and_safeguarding_our_children’s_future_is
                  absolute_nonsense”⠀⇛


                       Responding to Rachel Reeves’ speech on economic
                       growth, Green Party Co-Leader, Adrian Ramsay MP,
                       said “The idea that we have to choose between
                       economic prosperity and safeguarding our children’s
                       future is absolute nonsense – in fact it’s quite
                       the opposite."


                # ⚓ France24 ☛ Dictator_administration_withdraws_freeze_on
                  federal_grants⠀⇛


                       The White House rescinded an order freezing all
                       federal grants and loans on Wednesday. Acting
                       director Matthew J. Vaeth for the Office of
                       Management and Budget, which issued the freeze
                       order, told federal agencies that the memo
                       suspending the funds had been “rescinded”, The New
                       York Times reported.


                # ⚓ Marcy Wheeler ☛ Judge_AliKhan_Didn’t_Halt_Convicted_Felon’s
                  Funding_Freeze_Alone,_Democracy_Forward_Did_Too⠀⇛


                       Coverage of the halt Judge Loren AliKhan ordered on
                       Convicted Felon's cuts to federal funding focus on
                       her actions. But the lawsuit itself arises from the
                       kind of civil society networks that are crucial to
                       battling fascist attacks on democracy and
                       tolerance.


                # ⚓ New York Times ☛ The_Bond_Market_Is_Flashing_a_Warning
                  about_Convicted_Felon_Tariff_and_Spending_Plans⠀⇛


                       Fears of inflation and more debt are already making
                       borrowing more expensive.


                # ⚓ Rlang ☛ Anomaly_Detection_of_the_S&P_500⠀⇛


                       Since the date the Bank of Japan (BoJ) increased
                       the interest rate, there seems to have yet been
                       tested an anomaly for the S&P 500 despite the
                       strategists saying it is overvalued.


          o § Censorship/Free Speech⠀➾


                # ⚓ New York Times ☛ Meta_Agrees_to_Pay_Convicted_Felon_$25
                  Million_to_Settle_His_Lawsuit⠀⇛


                       President Convicted Felon had sued Meta and other
                       tech firms in 2021, arguing that he had been
                       wrongfully censored by them. Meta also reported
                       revenue and profit growth for the fourth quarter.


                # ⚓ New York Times ☛ DeepSeek’s_Hey_Hi_(AI)_Chatbot_Awkwardly
                  Navigates_China’s_Censors⠀⇛


                       Asked about sensitive topics, the bot would begin
                       to answer, then stop and delete its own work. It
                       refused to answer questions like: “Who is Pooh-tin
                       Jinping?”


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


                # ⚓ Exiled_citizen_journalist_Li_Ying_is_a_‘top_priority’_for
                  Beijing⠀⇛


                       ‘Mr Li is not your teacher’ to keep posting
                       censored news despite China’s targeting of him, his
                       family and follower


                # ⚓ Press Gazette ☛ Jewish_Chronicle_announces_new_editor,_new
                  look_and_revamped_membership⠀⇛


                       World's oldest Jewish newspaper appoints Daniel
                       Schwammenthal to replace Jake Wallis Simons.


          o § Civil Rights/Policing⠀➾


                # ⚓ European Commission ☛ Speech_at_the_European_Parliament's
                  Disability_Intergroup⠀⇛


                       European Commission Speech Brussels, 29 Jan 2025 I
                       am delighted to be with you to speak about this
                       important topic. .


                # ⚓ JURIST ☛ Canada_judge_slams_youth_strip-search_policy_as
                  violation_of_charter_rights⠀⇛


                       An Ontario Court judge ruled on Tuesday that the
                       two teenage girls charged in the swarming death of
                       Kenneth Lee had their charter rights violated and
                       called the provincial government’s strip-search
                       policy as ‘troubling’. The judge opted to give the
                       accused girls a reduced sentence.


                # ⚓ ACLU ☛ Quiz:_How_Much_Do_You_Know_About_Birthright
                  Citizenship?⠀⇛


                       Hours into his presidency, The Insurrectionist
                       issued an executive order that would rewrite the
                       constitution and deny millions of people
                       citizenship, putting them at risk of statelessness,
                       deportation, and civil rights abuses. This order,
                       which has been blocked by a federal judge for now,
                       is an attack on a fundamental constitutional
                       protection and contrary to the core constitutional
                       principle of equality and inclusion.


                # ⚓ Federal News Network ☛ Pentagon_agency_pauses_celebrations
                  for_Martin_Luther_King_Jr._Day,_Black_History_Month_and
                  more⠀⇛


                       The Defense Department intelligence agency has
                       paused observances of Martin Luther King Jr. Day,
                       Pride Month, Holocaust Days of Remembrance and
                       other cultural or historical annual events in
                       response to President The Insurrectionist’s ban on
                       diversity, equity and inclusion programs in the
                       federal workplace. The instructions were published
                       Tuesday in a Defense Intelligence Agency memo
                       obtained by The Associated Press and affect 11
                       annual events, including Black History Month, which
                       begins Saturday, and National Hispanic Heritage
                       Month. An official says the pause was initiated by
                       the agency and appears not to be policy across the
                       Defense Department.


          o § Internet Policy/Net Neutrality⠀➾


                # ⚓ Alice_Mikhaylenko:_New_Website⠀⇛


                       I finally got distracted enough to finish my
                       website that has been saying "under construction"
                       for over a year, since I set up this server for my
                       Sharkey instance.


                       I've wanted to do this for a while - one, so that I
                       actually have a home page, and two, so that I can
                       move my blog here instead of using WordPress.


                       Initially I wanted to use a static generator like
                       Hugo, but then I discovered that the web server I'm
                       using (Caddy) can do templates.


                # ⚓ APNIC ☛ Network_traffic_modelling_approaches⠀⇛


                       Guest Post: Exploring the characteristics of
                       various traffic models using synthetic data to gain
                       insight into traffic patterns.


      § Monopolies/Monopsonies⠀➾


          o ⚓ CNBC ☛ UK_raises_cloud_competition_concerns,_names_Abusive
            Monopolist_Microsoft_and_Amazon_as_dominant_players⠀⇛


                 Britain’s antitrust watchdog on Tuesday raised concerns
                 over competition in the multi-billion-pound cloud
                 computing market and singled out Microsoft and Amazon as
                 the dominant players. An independent Competition and
                 Markets Authority inquiry group provisionally recommended
                 that the regulator considers investigating Amazon Web
                 Services (AWS) and Microsoft’s Azure cloud unit under the
                 new Digital Markets, Competition and Consumers (DMCC)
                 Act.


          o § Patents⠀➾


                # ⚓ Dennis Crouch/Patently-O ☛ Is_Surveillance_Giant_Google
                  Simply_Asking_for_More_Efficient_Infringement?⠀⇛


                       Three new amicus briefs were recently filed
                       supporting EcoFactor in the pending en banc case
                       against Surveillance Giant Google over patent
                       monopoly damages methodology.


                # ⚓ Kluwer Patent Blog ☛ Examination_&_Appeal_Changes_in
                  Brazil:_What_Can_We_Learn_from_Recent_Cases⠀⇛


                       In 2024, the Brazilian Patent and Trademark Office
                       (BRPTO) introduced pivotal changes to the appeal
                       stage. Appeals has long been critical for
                       applicants seeking to overturn unfavorable first-
                       instance decisions.


    * ⚓ Dennis Crouch/Patently-O ☛ Discussions_of_Inequitable_Conduct_in_CAFC
      Decisions⠀⇛


    * ⚓ Dennis Crouch/Patently-O ☛ Biologics_Patent_Enforcement:_Regeneron
      Patents_Block_Biosimilar_Entry_for_EYLEA⠀⇛


           In a pair of significant decisions issued today, the Federal
           Circuit upheld preliminary injunctions blocking the launch of
           biosimilar versions of Regeneron's blockbuster drug EYLEA®
           (aflibercept). Regeneron Pharms., Inc. v. Mylan Pharms. Inc.,
           No. 2024-1965 (Fed. Cir. Jan. 29, 2025) (precedential); and
           Regeneron Pharms., Inc. v. Mylan Pharms. Inc., No. 2024-2009
           (Fed. Cir. Jan. 29, 2025) (nonprecedential). The cases pit
           Regeneron against foreign manufacturers, including Samsung
           Bioepis (SB) and Formycon AG, who had obtained FDA approval for
           their biosimilar products under the Biologics Price Competition
           and Innovation Act (BPCIA).


    * § Kangaroo Courts⠀➾


          o ⚓ JUVE ☛ Long_arm_of_UPC_extends_to_the_UK [Ed: UPC is a crime. Its
            very existence is a crime. Now the UPC shills try to make excuses
            for this illegal construct spreading outside its remit.]⠀⇛


                 Fujifilm is currently suing Kodak at the UPC for
                 infringing three patents protecting offset printing
                 technology. The company has filed suit at the Mannheim
                 local division for infringement of EP 3 511 174 and EP 3
                 476 616.


    * § Software Patents⠀➾


          o ⚓ Vague_Patent_Weaponized_Against_America’s_Pastime⠀⇛


                 Earlier this month, Major League Baseball returned to the
                 courtroom to defend itself against a patent monopoly that
                 claims to cover dynamic ticketing technology – though MLB
                 argues it only covers an unpatentable abstract idea.


    * § Trademarks⠀➾


          o ⚓ TTAB Blog ☛ TTAB_Chief_Judge_Gerard_F._Rogers_Retires;_Thomas_V.
            Shaw_Appointed_Acting_Chief_Judge⠀⇛


                 Judge Thomas_V._Shaw was appointed to the position of
                 Acting Chief Judge of the TTAB in December 2024. He had
                 been deemed Deputy Chief Judge in August of 2024. Judge
                 Shaw succeeds Gerard F. Rogers, who served as Chief Judge
                 since November 2010 after a one-year stint as Acting
                 Chief Judge.


    * § Copyrights⠀➾


          o ⚓ Public Domain Review ☛ Fantazius’_Folly:_Tiny_Cryptic_#1⠀⇛


                 First installment in our new series of extremely small
                 and free-form cryptic crossword puzzles, themed on our
                 latest essay.


          o ⚓ Public Knowledge ☛ Public_Knowledge_Opposes_Censorious_Site-
            blocking [Ed: Microsoft-invaded front group]⠀⇛


                 Today, Rep. Zoe Lofgren (D-CA) introduced the “Foreign
                 Anti-Digital Piracy Act” (FADPA) which would allow
                 rightsholders to secure “blocking orders” against foreign
                 websites accused of copyright monopoly infringement.
                 Public Knowledge opposes this bill and any site-blocking
                 bill that turns broadband providers into copyright
                 monopoly police at Americans’ expense.


          o ⚓ Public Domain Review ☛ “Relaxations_for_the_Impotent”:_Ben
            Hecht’s_Fantazius_Mallare_and_the_Contradictions_of_American_Smut⠀⇛


                 J.-K. Huysmans pastiche? Formative influence on Allen
                 Ginsberg’s Howl? Ben Hecht’s Fantazius Mallare (1922) is
                 at turns obtuse, grotesque, and moralizing — and sought
                 to provoke the obscenity trial of the century. Only it
                 didn’t, quietly vanishing instead. Colin Dickey rereads
                 this failed satire, finding a transcendent rhythm pulsing
                 beneath the novel’s indulgent prose.





                    ䷩ 𝚕𝚒𝚗𝚎 4458

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Links 30/01/2025: Microsoft Wants Convicted
Felon to Give Fentanylware (TikTok) to It (After Making a Phonecall Asking for
That in 2019), "Moving Away From Google's
Ecosystem"⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Jan 30, 2025


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


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * Leftovers
          o Science
          o Career/Education
          o Hardware
          o Health/Nutrition/Agriculture
          o Proprietary
          o Social_Control_Media
    * Security
          o Privacy/Surveillance
    * Defence/Aggression
    * Environment
          o Energy/Transportation
          o Wildlife/Nature
    * Finance
    * AstroTurf/Lobbying/Politics
    * Censorship/Free_Speech
    * Freedom_of_Information_/_Freedom_of_the_Press
    * Civil_Rights/Policing
    * Digital_Restrictions_(DRM)
    * Monopolies/Monopsonies
          o Trademarks
          o Copyrights
    * § Leftovers⠀➾


          o ⚓ Ruben Schade ☛ I_accidently_made_abstract_art⠀⇛


                 I wrote a post at the start of the year about tradeshow
                 lanyards, and how I had no idea what I should do with
                 them. I’d been hanging them in my cupboard the whole
                 time, and I was running out of space.


                 This was the image that accompanied that post, featuring
                 the lanyard, a fresh cup of coffee in a Shinri mug, and
                 Kronii who was Clara’s and my latest acrylic stand.


          o ⚓ The Register UK ☛ White_House_'explains'_mystery_drone
            sightings⠀⇛


                 "After research and study, the drones that were flying
                 over New Jersey in large numbers were authorized to be
                 flown by the Federal Aviation Administration (FAA) for
                 research and various other reasons," Leavitt said. "Many
                 of these drones were also hobbyists, recreational and
                 private individuals that enjoy flying drones."


          o ⚓ Phil Eaton ☛ Edit_for_clarity⠀⇛


                 I have the fortune to review a few important blog posts
                 every year and the biggest value I add is to call out
                 sentences or sections that make no sense. It is quite
                 simple and you can do it too.


                 Without clarity only those at your company in marketing
                 and sales (whose job it is to work with what they get)
                 will give you the courtesy of a cursory read and a like
                 on LinkedIn. This is all that most corporate writing
                 achieves. It is the norm and it is understandable.


          o ⚓ Jason Becker ☛ Inspiration_Strikes—_how_I’m_going_to_restructure
            my_blog_design⠀⇛


                 So here’s the new plan. The front page will have just the
                 most recent day’s posts (on the rare day I don’t post,
                 it’ll be yesterday’s posts). Underneath that, I plan to
                 highlight the current month’s macro posts, in a format
                 similar to the month view on the Archive page, along with
                 a link to the archive.


          o ⚓ Buttondown LLC ☛ What_hard_thing_does_your_tech_make_easy?⠀⇛


                 When starting out, this is the biggest question I'm
                 looking to answer:


                 "What does this technology make easy that's normally
                 hard?"


                 What justifies me learning and migrating to a new thing
                 as opposed to fighting through my problems with the tools
                 I already know? The new thing has to have some sort of
                 value proposition, which could be something like "better
                 performance" or "more secure". The most universal value
                 and the most direct to show is "takes less time and
                 mental effort to do something". I can't accurately judge
                 two benchmarks, but I can see two demos or code samples
                 and compare which one feels easier to me.


          o ⚓ Juha-Matti Santala ☛ Nonlinear_writing⠀⇛


                 This worked really well, especially with practical
                 technical blog posts like the recipe-style blog posts
                 that I enjoy writing. They document a single use case I
                 had just learned at work or through my hobby projects. As
                 such, they don’t need to gather more information to be
                 useful and ready for publishing.


          o § Science⠀➾


                # ⚓ Rlang ☛ Thinking_about_covariates_in_an_analysis_of_an
                  RCT⠀⇛


                       I was recently discussing the analytic plan for a
                       randomized controlled trial (RCT) with a clinical
                       collaborator when she asked whether it’s
                       appropriate to adjust for pre-specified baseline
                       covariates. This question is so interesting because
                       it touches on fundamental issues of inference—both
                       causal and statistical. What is the target estimand
                       in an RCT—that is, what effect are we actually
                       measuring? What do we hope to learn from the
                       specific sample recruited for the trial (i.e., how
                       can the findings be analyzed in a way that enhances
                       generalizability)? What underlying assumptions
                       about replicability, resampling, and uncertainty
                       inform the arguments for and against covariate
                       adjustment? These are big questions, which won’t
                       necessarily be answered here, but need to be kept
                       in mind when thinking about the merits of covariate
                       adjustment


          o § Career/Education⠀➾


                # ⚓ Pro Publica ☛ How_Many_Students_Have_Been_Expelled_Under
                  Tennessee's_School_Threat_Law?_The_Data_Doesn’t_Say.⠀⇛


                # ⚓ Maine Morning Star ☛ Maine_students_score_lowest_in_three
                  decades_on_nation's_report_card⠀⇛


                       The National Assessment of Educational Progress
                       (NAEP, pronounced nape), which is administered by
                       the U.S. Department of Education, released national
                       and state-by-state results Wednesday.


                # ⚓ Science Alert ☛ Babies_Learn_Language_Even_Earlier_Than_We
                  Realized,_Study_Reveals⠀⇛


                       By their first birthday, babies are already fine-
                       tuning their ears to the sounds of their native
                       language in a process called perceptual attunement.
                       Think of it like their brain sorting through a
                       buffet of sounds to focus on the ones that matter
                       most.


                       But in their first six months, babies can tell
                       apart sounds from languages they've never even
                       heard. For example, they might distinguish certain
                       Hindi contrasts that are challenging for adult
                       English speakers or identify unique tones in
                       Mandarin, even if they're growing up in an English-
                       speaking household.


                       This incredible ability doesn't last forever.
                       Between six and 12 months, babies start narrowing
                       their focus to the sounds they hear most often. For
                       vowels, this fine-tuning kicks in at around six
                       months while consonants follow at closer to ten
                       months.


                # ⚓ Seth Godin ☛ Organizing_for_urgent⠀⇛


                       It’s far more effective to organize for important
                       instead.


                # ⚓ CS Monitor ☛ ‘Nation’s_report_card’_shows_US_students
                  slipping_in_math_and_reading⠀⇛


                       America’s struggling students have fallen further
                       behind in math and reading.


                       The latest results from the National Assessment of
                       Educational Progress (NAEP), known as the “nation’s
                       report card,” underscore the steep challenges that
                       remain nearly five years after the pandemic
                       disrupted learning for a generation of children. By
                       and large, the results released Wednesday paint a
                       grim portrait of academic recovery since the
                       pandemic, especially in reading.


          o § Hardware⠀➾


                # ⚓ CNX Software ☛ Meshtastic_Designer_helps_you_build_custom
                  Meshtastic_solutions_with_RAKwireless_Wisblock_components⠀⇛


                       RAKWireless introduced the Wisblock IoT Modular
                       System in 2020 to let developers easily create
                       LoRaWAN IoT solutions with various core modules,
                       baseboards, and sensor/IO modules. The company kept
                       adding new Wisblock modules year after year, and
                       there are now over 120 modules part of the Wisblock
                       ecosystem. While the large choice of modules makes
                       designing IoT prototypes more flexible, customers
                       often face challenges in checking compatibility and
                       selecting the right modules for the right slots.


                # ⚓ CNX Software ☛ Altair_ALT1350_based_HL7900_5G_LPWA_module
                  supports_Wi-SUN,_GNSS,_and_NB-IoT_over_non-terrestrial
                  networks⠀⇛


                       The HL7900 5G LPWA module from Semtech (Sierra
                       Wireless) is a globally certified solution built
                       around Sony’s Altair ALT1350 chip and designed for
                       low-power IoT applications. It is certified by
                       major U.S. carriers, including AT&T, T-Mobile, and
                       Verizon, as well as Japan’s KDDI, and has achieved
                       global regulatory certifications (FCC, CE, ISED,
                       etc.) and industry certifications (PTCRB, GCF) for
                       carrier interoperability. This chip features an
                       ultra-low-power sensor hub MCU for efficient
                       environmental monitoring.


                # ⚓ Dan Langille ☛ gw01⠀⇛


                       Three weeks ago, I tooted about getting a new
                       gateway/route/firewall for the home lab. After many
                       fantastic suggestions, I settled on a Atom-based
                       solution in a 1U case. It’s the “Qotom 5X 2.5G LAN
                       2 SFP+ Barebone Mini Router Q20322G9 with C3558 1U
                       Rackmount Mini Server” as sold on Amazon and
                       shipped from China.


                # ⚓ Linuxiac ☛ Small_But_Mighty:_System76_Unleashes_the_2025
                  Meerkat_Mini⠀⇛


                       System76, a well-regarded name in the Linux
                       computing scene, has just unveiled its updated
                       Meerkat Mini PC.


                       The device now offers an Intel Core Ultra 7 155H
                       processor, delivering up to 16 cores in total—an
                       improvement over its previous iteration’s 12-core
                       limit.


          o § Health/Nutrition/Agriculture⠀➾


                # ⚓ New York Times ☛ Would_You_Get_Sick_in_the_Name_of
                  Science?⠀⇛


                       Since the pandemic, drug trials that purposely make
                       people vomit, shiver and ache have become a
                       research area of growing interest. All that’s
                       needed: brave volunteers.


                # ⚓ University of Michigan ☛ Ann_Arbor_suicide_prevention
                  facility_receives_$373,306_in_millage_funding⠀⇛


                       Mental health services center based in Washtenaw
                       County, Garrett’s Space, will receive $373,306 from
                       the Washtenaw County’s Public Safety and Mental
                       Health Millage this year, allowing for an expansion
                       of in-person wellness activities and support
                       groups.


                # ⚓ NYPost ☛ ‘The_Voice’_alum_Ryan_Whyte_Maloney_dead_by
                  suicide_at_44:_report⠀⇛


                       The singer was one of Blake Shelton's top 5
                       finalists in 2014.


                # ⚓ Advance Local Media LLC ☛ Michigan’s_tribal_experts_want_to
                  save_wild_rice._Here’s_how_they’ll_do_it.⠀⇛


                       Michigan’s wild rice, or manoomin stewardship plan
                       was discussed in depth on Jan. 24 during an
                       environmental conference hosted by Ann Arbor-based
                       nonprofit The Stewardship Network. Both Indigenous
                       and academic experts explained how the plan was a
                       project of the Michigan Wild Rice Initiative during
                       presentations at Michigan State University in East
                       Lansing.


                # ⚓ Pete Brown ☛ “Being_informed”_is_not_an_end_in_itself.⠀⇛


                       But I keep coming back to my belief that “being
                       informed” is not an end in itself; it should be a
                       means to some actual end. For many of us, the
                       minute-by-minute, hour-by-hour updates of whatever
                       the latest horror is serve no real purpose that
                       could not be just as well-served by catching up on
                       the news once a day.


                # ⚓ The Telegraph UK ☛ I_took_my_teenage_daughter_on_a_digital-
                  detox_holiday_–_and_it_shocked_us_both⠀⇛


                       As weaning teens off their smartphones hits the
                       headlines, our writer gives it a test run on a
                       tech-free trip to Greece


                # ⚓ The Conversation ☛ Five_reasons_why_vertical_farming_is
                  still_the_future,_despite_all_the_recent_business_failures⠀⇛


                       Clearly these are major setbacks. Year-round
                       illuminated greenhouses and stacked, controlled-
                       environment warehouses for producing food have been
                       hailed as a sustainable alternative to traditional
                       farming, promising fresh food close to populations.


                       This reduces the need for transportation, which
                       together with other issues in traditional farming
                       such as soil degradation and forest clearing see it
                       contributing around 20% of the greenhouse gases
                       that lead to planetary warming and climate change.


          o § Proprietary⠀➾


                # ⚓ It's FOSS ☛ How_I_am_Moving_Away_From_Google's_Ecosystem⠀⇛


                       One service a time


                # ⚓ Kali Linux ☛ Kali_GNU/Linux_On_The_New_Modern_WSL [Ed:
                  Wasting time and money jumping to Microsoft's tune instead of
                  competing with it]⠀⇛


                       In summary, this new architecture allows for easier
                       distribution and installation of WSL distros.


                # ⚓ Digital Music News ☛ Now_Abusive_Monopolist_Microsoft_Is_In
                  Talks_To_Buy_Fentanylware_(TikTok)_—_According_to_Convicted
                  Felon [Ed: Another way to bail out a corrupt, failing
                  company]⠀⇛


                       With several companies and individuals proposed as
                       a buyer for TikTok, President Convicted Felon says
                       he would like to see a bidding war over the app.
                       According to him, Abusive Monopolist Microsoft is
                       interested yet again.


                # ⚓ The Register UK ☛ Garmin_smartwatches_have_a_CrowdStrike
                  moment⠀⇛


                       IT professionals who lived through the CrowdStrike
                       fiasco in July will remember the blue screens that
                       lit up offices worldwide when a broken update sent
                       Windows into a crashing boot loop.


                       It appears Garmin managed to do the same and pushed
                       out an update that has downed many users'
                       smartwatches. Some reported a blue triangle on
                       their watch's display, while others couldn't get
                       past the startup screen.


                # § Artificial Intelligence (AI)⠀➾


                      # ⚓ Cloudbooklet ☛ Meta_Hey_Hi_(AI)_Uses_Your_Data
                        Without_Permission!⠀⇛


                             Your privacy at risk? Find out how Meta Hey
                             Hi (AI) uses your data without asking for
                             your permission.


                      # ⚓ Daniel Miessler ☛ AI's_Total_Addressable_Market⠀⇛


                             The total market size (TAM) for Hey Hi (AI)
                             is a combination of two (2) primary
                             components:


                      # The total cost of human workforces
                      # The amount of money that current and future companies
                        will pay to start, 10x, or 1000x their business
                        We're talking hundreds of trillions of dollars.


                        Don't get distracted.


                # ⚓ India Times ☛ Microsoft,_OpenAI_allege_DeepSeek_used
                  proprietary_data_to_power_its_breakout_models⠀⇛


                       The low cost of developing DeepSeek's LLMs brought
                       it under the spotlight. The startup claims that it
                       created this outperforming, low-cost model within
                       two months and with a training cost of less than $6
                       million ($5.58 million, to be precise). This
                       starkly contrasts the $100 million OpenAI
                       reportedly spent on training its GPT-4 model. One
                       reason for its popularity is its affordability.


                # ⚓ US News And World Report ☛ Microsoft,_Meta_CEOs_Defend
                  Hefty_AI_Spending_After_DeepSeek_Stuns_Tech_World⠀⇛


                       That is a far cry from the roughly $6 million
                       DeepSeek said it has spent to develop its AI model.
                       U.S. tech executives and Wall Street analysts say
                       that reflects the amount spent on computing power,
                       rather than all development costs.


                       Still, some investors seem to be losing patience
                       with the hefty spending and lack of big payoffs.


                # ⚓ India Times ☛ The_future_of_AI_may_not_be_as_revolutionary
                  as_we_thought⠀⇛


                       Big Tech is undermining itself by pouring more cash
                       into investments in each other that are likely to
                       yield diminishing returns. Despite Monday's dip,
                       the disparity in valuations between Big
                       Tech—Microsoft, Apple, Amazon, Nvidia, Tesla, Meta,
                       and Alphabet—and the rest of the stock market
                       remains strikingly large.


                # ⚓ Tedium ☛ AI_&_Skepticism:_Is_There_Room_For_A_Middle
                  Lane?⠀⇛


                       But like bionic arms, they are not human, and they
                       never will be. LLMs aren’t independent thinkers.
                       They don’t have a heart. They just parse through
                       commands with algorithms in a way that sounds
                       intelligent, even at times confident. And that can
                       cause people to not understand where it’s
                       inappropriate to walk in with a pair of “bionic
                       arms.”


                # ⚓ 404 Media ☛ OpenAI_Furious_DeepSeek_Might_Have_Stolen_All
                  the_Data_OpenAI_Stole_From_Us⠀⇛


                       OpenAI shocked that an AI company would train on
                       someone else's data without permission or
                       compensation.


                # ⚓ Simon Willison ☛ How_we_estimate_the_risk_from_prompt
                  injection_attacks_on_AI_systems⠀⇛


                       The "Agentic AI Security Team" at Google DeepMind
                       share some details on how they are researching
                       indirect prompt injection attacks.


                       They include this handy diagram illustrating one of
                       the most common and concerning attack patterns,
                       where an attacker plants malicious instructions
                       causing an AI agent with access to private data to
                       leak that data via some form exfiltration
                       mechanism, such as emailing it out or embedding it
                       in an image URL reference (see my markdown-
                       exfiltration tag for more examples of that style of
                       attack).


                # ⚓ Lee Peterson ☛ Stop_using_ChatGPT⠀⇛


                       Once I stopped using it I realised I wasn’t missing
                       much, I also observed better battery life on my
                       phone.


                # ⚓ Jeff Triplett ☛ 🤖_My_big_list_of_AI/LLM_tools,_notes,_and
                  how_I'm_using_them_-_Jeff_Triplett's_Micro.blog⠀⇛


                       I have been using, working, and running commercial
                       and local LLMs for years, but I never got around to
                       sharing the tools and applications I use. Here are
                       some quick notes, tools, and resources I have
                       landed on and use daily.


                # ⚓ Drew Breunig ☛ Is_OpenAI_Using_Trap_Tokens?_|_Drew
                  Breunig⠀⇛


                       But what I want to know is if OpenAI is using
                       “**Trap Tokens,” training their models to output
                       specific, erroneous data purely to catch copy-cats.
                       I wrote about the potential for this way back in
                       May of 2023, in the context of content producers
                       establishing provenance of training data: [...]


                # ⚓ Pivot to AI ☛ Official_Israeli_AI_Twitter_bot_backfires,
                  makes_pro-Palestinian_posts,_trolls_other_official_accounts⠀⇛


                       But instead of supporting pro-Israeli talking
                       points, FactFinderAI began to undermine them, as
                       found by Israeli disinformation watchdog
                       FakeReporter.


                       FactFinderAI trolled Israel’s official Twitter
                       account, promoted pro-Palestinian accounts and
                       fundraisers, talked about “paramilitary Israeli
                       colonizers,” and tagged information on the upcoming
                       release of Israeli hostages as false.


                # § Openwashing⠀➾


                      # ⚓ India Times ☛ Why_blocking_China's_DeepSeek_from
                        using_US_AI_may_be_difficult⠀⇛


                             The technique, which involves one AI system
                             learning from another AI system, may be
                             difficult to stop, according to executive and
                             investor sources in Silicon Valley.


                             DeepSeek this month rocked the technology
                             sector with a new AI model that appeared to
                             rival the capabilities of US giants like
                             OpenAI, but at much lower cost. And the
                             China-based company gave away the code for
                             free.


                      # ⚓ France24 ☛ What_is_DeepSeek,_the_Chinese_Hey_Hi_(AI)
                        company_upending_the_stock_market?⠀⇛


                             DeepSeek's Hey Hi (AI) assistant became the
                             No. 1 downloaded free app on Apple's iPhone
                             store January 27, propelled by curiosity
                             about the Abusive Monopolist Microsoft
                             Chaffbot competitor.


                      # ⚓ Tom's Hardware ☛ Chinese-made_DeepSeek_Hey_Hi_(AI)
                        model_records_extensive_online_user_data,_stores_it_in
                        China-based_servers⠀⇛


                             From personal information to hardware
                             specifications to even how you type, DeepSeek
                             says it’s collecting swathes of data from its
                             online users.


                      # ⚓ France24 ☛ Panic_in_Silicon_Valley?_China's_DeepSeek
                        challenges_US_supremacy_over_AI⠀⇛


                             On his first full day back in power, The
                             Insurrectionist trumpeted a 500-billion
                             dollar plan to build giant data centers for
                             artificial intelligence. The photo op put the
                             rest of the world on notice: the billionaire
                             tech bros of Silicon Valley reign supreme
                             with the full weight of the White House
                             behind them. Fast forward to Monday and the
                             record 590-billion dollar drop in the market
                             value of US chip maker Nvidia. Spooking the
                             markets, the announcement that a Chinese
                             start-up can operate its latest Hey Hi (AI)
                             model 18 times cheaper than Sam Altman’s
                             Chat-GPT-4.  Is DeepSeek for real? Why the
                             sudden surprise? If it upends America’s
                             dominance of artificial intelligence, does
                             that mean a democratization of global
                             information systems or a showdown between
                             superpowers that ultimately decides who rules
                             the world?


                      # ⚓ Semafor Inc ☛ Surge_in_deepfakes_heightens_fraud_risk
                        for_African_businesses⠀⇛


                             Deepfake videos used to impersonate people
                             increased sevenfold in the second half of
                             2024, according to data from the digital
                             identity verification company Smile ID. The
                             Lagos-based startup vets customer identities
                             for hundreds of businesses on the continent
                             including Uber.


                      # ⚓ The Register UK ☛ DeepSeek_database_left_open,
                        exposing_sensitive_info⠀⇛


                             Wiz, a New York-based infosec house, says
                             that shortly after the DeepSeek R1 model
                             gained widespread attention, it began
                             investigating the machine-learning outfit's
                             security posture. What Wiz found is that
                             DeepSeek – which not only develops and
                             distributes trained openly available models
                             but also provides online access to those
                             neural networks in the cloud – did not secure
                             the database infrastructure of those
                             services.


                             That means conversations with the online
                             DeepSeek chatbot, and more data besides, were
                             accessible from the public [Internet] with no
                             password required.


          o § Social Control Media⠀➾


                # ⚓ Techdirt ☛ Musk_Denies_Email_Admitting_To_ExTwitter’s
                  Struggles,_But_Banks’_Desperation_Tells_A_Different_Story⠀⇛


                       Yes, Elon has leveraged his position as First Troll
                       (along with hundreds of millions of dollars in
                       political donations) into a position of power in
                       the Trump administration, but that doesn’t seem to
                       have helped right the sinking ship that was once
                       called Twitter.


                       Buried somewhat in a Wall Street Journal article
                       about the banks desperately trying to unload the
                       Elon Twitter debt they’re holding is the claim that
                       Elon has admitted in internal emails that he’s
                       basically destroyed what once was Twitter as a
                       business: [...]


    * § Security⠀➾


          o § Privacy/Surveillance⠀➾


                # ⚓ Alex Ward ☛ Big_Tech_and_Consent⠀⇛


                       This is going to be a rant. It'll hopefully be very
                       short, but no promises. Since LLMs became a thing
                       it feels like all the firms that are shoving them
                       into everything have completely given up on the
                       veneer that “asking the customer if they want a
                       thing” is something they should even consider. I'm
                       not super surprised by this, but I am horribly
                       disappointed.


                # ⚓ NYOB ☛ EU_Court:_Irish_DPC_must_investigate_noyb
                  complaint⠀⇛


                       Today, the EU's General Court held that the Irish
                       DPC acted unlawful when it refused to investigate a
                       noyb complaint. The European Data Protection Board
                       (EDPB) held in December 2022 that Meta illegally
                       used the personal data of users for advertising
                       without consent under Article 6(1) GDPR. The EDPB
                       also decided that the DPC should have also
                       investigated the use of sensitive data (Article 9
                       GDPR), but the DPC refused to comply with this
                       binding decision. Instead, the DPC sued the EDPB
                       before the European Courts. The General Court has
                       dismissed the DPC's claims. The case can now be
                       appealed to the CJEU.


                # ⚓ Tom's Hardware ☛ Chinese-made_DeepSeek_AI_model_records
                  extensive_online_user_data,_stores_it_in_China-based
                  servers⠀⇛


                       But that’s not all. DeepSeek records anything
                       related to users’ hardware: IP addresses, phone
                       models, language, etc. Its collection efforts are
                       so thorough that the company notes “keystroke
                       patterns or rhythms.” Cookies, a classic method of
                       tracking users on the Internet, also contribute to
                       user data collection.


                       Because R1 is 'open source,' it can be run anywhere
                       on any hardware, which is generally good for
                       privacy — running the model locally on your own
                       hardware will presumably not lead to data
                       collection. However, DeepSeek offers online access
                       to R1 via its website and mobile app, which means
                       the AI company handles and stores online users'
                       data. Thankfully, DeepSeek is very transparent
                       about what data it collects from online users,
                       where it’s stored, and what it does with it. It
                       details it all in its privacy policy webpage, which
                       reveals that there’s almost nothing the company
                       doesn’t collect.


    * § Defence/Aggression⠀➾


          o ⚓ Pro Publica ☛ DOD_Directive_to_Expand_Military_Court_Access_Falls
            Short_of_Federal_Requirements⠀⇛


                 More than two years after ProPublica sued the Navy over
                 its failure to provide public access to military courts,
                 the Department of Defense has for the first time directed
                 U.S. military branches to give advance public notice of
                 preliminary hearings, a crucial milestone in criminal
                 cases.


                 These “Article 32” hearings end with a recommendation
                 about whether the case should move forward, be dismissed
                 or end in a nonjudicial punishment.


          o ⚓ Irish Examiner ☛ Climate_change_poses_'security_threat'_to_Irish
            economy_and_society⠀⇛


                 Climate change not only affects the island of Ireland but
                 also, experts warn, its extensive sea area.


          o ⚓ Harvard University ☛ Book_excerpt_from_‘Superbloom’_by_Nicholas
            Carr⠀⇛


                 Nicholas Carr argues it may be too late for regulation as
                 platforms took hold so quickly, outpacing our ability to
                 spot darker effects on society, democracy


          o ⚓ Truthdig ☛ Romanian_Election_Undone_by_TikTok⠀⇛


                 Thus did Romania become the first member state in the
                 history of the European Union to cancel an election. The
                 government had not called into question the legitimacy of
                 the votes or vote-counting process. At issue is social
                 media activity, primarily on TikTok, that boosted
                 Georgescu’s profile and amplified his Euro-skeptical,
                 far-right campaign in the final days before the tally.
                 The cancellation of an election on these grounds marks a
                 milestone in the development of Internet-age information
                 war — one that underscores the fragility of the West’s
                 collective commitment to democracy.


          o ⚓ 404 Media ☛ Declassified_CIA_Guide_to_Sabotaging_Fascism_Is
            Suddenly_Viral⠀⇛


                 A declassified World War II-era government guide to
                 “simple sabotage” is currently one of the most popular
                 open source books on the [Internet]. The book, called
                 “Simple Sabotage Field Manual,” was declassified in 2008
                 by the CIA and “describes ways to train normal people to
                 be purposefully annoying telephone operators,
                 dysfunctional train conductors, befuddling middle
                 managers, blundering factory workers, unruly movie
                 theater patrons, and so on. In other words, teaching
                 people to do their jobs badly.”


                 Over the last week, the guide has surged to become the
                 5th-most-accessed book on Project Gutenberg, an open
                 source repository of free and public domain ebooks. It is
                 also the fifth most popular ebook on the site over the
                 last 30 days, having been accessed nearly 60,000 times
                 over the last month (just behind Romeo and Juliet).


          o ⚓ John Gruber ☛ Daring_Fireball:_My_Spitball_Theory_on_TikTok’s
            Current_Semi-Reprieve_in_the_U.S.⠀⇛


                 But what happens if the CCP stands pat? If they just wait
                 it out? If ByteDance were a normal company they’d face
                 financial pressure to capitulate and sell. But the CCP
                 isn’t under any financial pressure to allow ByteDance to
                 sell. Say what you will about the Chinese government, but
                 they do not lack for patience. What happens then, when
                 word starts spreading amongst TikTok fans not to upgrade
                 their phones, lest they lose access to the app? Apple’s
                 going to have some strong feelings about that.


          o ⚓ New York Times ☛ How_Elon_Musk_is_Using_Start-Up_Tactics_to
            Disrupt_European_Politics⠀⇛


                 Mr. Musk has been using the algorithmic influence of his
                 social media platform X to place bets on far-right
                 upstart parties, like Alternative for Germany (known as
                 the AfD) and Britain’s Reform Party, that challenge the
                 status quo.


          o ⚓ US News And World Report ☛ Sweden_Eyes_Sending_Inmates_Abroad_as
            Prisons_Full_Due_to_Gang_[sic]_Crime_Wave⠀⇛


                 Sweden has been plagued by gang [sic] crime that has
                 escalated over the last two decades and has seen the
                 Nordic nation top the rankings of deadly gun violence per
                 capita in Europe.


          o ⚓ The Record ☛ Sweden’s_elite_armed_police_used_helicopter_to_board
            suspected_sabotage_ship⠀⇛


                 Officers from Sweden’s National Task Force, similar to
                 the FBI’s Hostage Rescue Team, can be seen dropping to
                 the ship’s deck in a video released by the Swedish police
                 on Tuesday. Additional police can be seen boarding the
                 ship by boat, with police dogs also involved in the
                 preliminary search.


                 The investigation into the cable-breaking incident is
                 being led by Sweden’s Security Service (SÄPO). The
                 country’s public broadcaster SVT reported that the
                 boarding was intended to secure both the vessel and its
                 crew as part of SÄPO’s investigation.


                 Images of the Vezhen appear to show it carrying a damaged
                 anchor, which Swedish authorities say is part of their
                 investigation into the cable break.


          o ⚓ The Telegraph UK ☛ Migrants_must_be_expected_to_integrate⠀⇛


                 But changes are occurring before our eyes. One in five
                 voters under the age of 45 would prefer to do away with
                 democracy, it was reported last month. BBC In Depth
                 recently warned that our “moral compasses” are changing,
                 with “disapproval of various underhand activities
                 [falling] noticeably”. Since the mid-2000s consumption of
                 alcohol has been declining steadily, particularly among
                 Gen Z.


                 Bizarrely absent from any analysis of these trends is the
                 possible impact of high migration inflows. The BBC
                 predictably apportions blame to the bête noires of the
                 liberal elites: social media, politicians and big
                 business. Doubtless there’s some truth to it – though
                 saints have rarely found their way into Parliament at any
                 time and corporations are much more ethically conscious
                 today than in the past.


    * § Environment⠀➾


          o ⚓ Los Angeles Times ☛ If_you_lost_your_job_because_of_the_Los
            Angeles_fires,_here_are_a_few_options⠀⇛


                 Your first step may be to round up some important
                 documents or get access to a computer or smartphone. If
                 you need help getting such resources, you can visit a
                 Disaster Recovery Center.


          o ⚓ Deccan Chronicle ☛ Study:_Climate_change_worsened_California
            wildfires⠀⇛


                 “The number (35%) doesn’t sound like much” because unlike
                 dozens of its past studies, the team looked at a small
                 area and a complex meteorological measurement in the fire
                 weather index that would generally mean there would be
                 large uncertainties, said Otto, a climate scientist at
                 Imperial College London. But in this case the climate
                 change fingerprint is big enough that it stands out, she
                 said. Those conditions are part of what makes California
                 attractive to 25 million residents, said study co-author
                 John Abatzoglou, a climate and fire scientist at the
                 University of California Merced.


          o ⚓ Smithsonian Magazine ☛ Welcome_to_the_Pyrocene⠀⇛


                 I’m a historian of fire, and my reply is that we have
                 both a narrative and an analog. The narrative is the
                 unbroken saga of humanity and fire, a companionship that
                 extends through all our existence as a species. The
                 analog is that humanity’s fire practices have become so
                 vast, especially in recent centuries, that we are
                 creating the fire equivalent of an ice age.


          o ⚓ Common Dreams ☛ Sierra_Club_Statement_as_Senate_Votes_to_Confirm
            Lee_Zeldin_as_EPA_Administrator⠀⇛


                 Today, the United States Senate voted to confirm former
                 Congressman Lee Zeldin as administrator of the
                 Environmental Protection Agency, despite his lack of any
                 real qualifications for the role. In his final year in
                 Congress in 2022, Zeldin earned a paltry 5% on the League
                 of Conservation Voters scorecard, which tracks the voting
                 records of members of congress on critical environmental
                 issues.


                 Zeldin now takes the helm of the EPA in the wake of
                 Trump’s recent executive orders seeking to freeze all
                 federal spending from the Inflation Reduction Act and the
                 Bipartisan Infrastructure Law.


                 In response, Sierra Club Legislative Director Melinda
                 Pierce released the following statement: [...]


          o ⚓ Bruce Schneier ☛ ExxonMobil_Lobbyist_Caught_[Cracking]_Climate
            Activists⠀⇛


                 The Department of Justice is investigating a lobbying
                 firm representing ExxonMobil for [breaking into] the
                 phones of climate activists: [...]


          o § Energy/Transportation⠀➾


                # ⚓ The Straits Times ☛ Bangladesh_train_services_hit_as_staff
                  strike_over_benefits⠀⇛


                       Train services in Bangladesh came to a standstill
                       on Tuesday as railway staff, demanding benefits for
                       extra work, went on a nationwide indefinite strike
                       that hit hundreds of thousands of people.


          o § Wildlife/Nature⠀➾


                # ⚓ The Revelator ☛ This_Month_in_Conservation_Science:_The
                  Dead_Whale_and_the_Pediatricians⠀⇛


    * § Finance⠀➾


          o ⚓ France24 ☛ Boeing_posts_second-largest_annual_loss_in_its
            history⠀⇛


                 US aerospace giant Boeing posted nearly 12 billion
                 dollars in annual net loss for 2024, as a series of
                 safety issues and a seven-week strike by factory workers
                 impacted production. The company's stock however rallied
                 after the latest financial results were announced, as
                 investor focus turned to its recovery plan. Plus, Coca
                 Cola has recalled several of its popular soft drinks
                 including Coke, Fanta and Sprite in several European
                 countries, after detecting higher-than-normal levels of
                 chlorate.


    * § AstroTurf/Lobbying/Politics⠀➾


          o ⚓ Photos:_Asia_welcomes_the_Year_of_the_Snake⠀⇛


                 Communities throughout Asia have been preparing for the
                 annual Lunar New Year holiday.


          o ⚓ Hong Kong Free Press ☛ Xi_Jinping_strikes_bullish_tone_in_speech
            to_mark_Lunar_New_Year_as_China_struggles_to_secure_economic
            recovery⠀⇛


                 Chinese leader Pooh-tin Jinping struck a bullish tone
                 during a speech on Monday ahead of Lunar New Year, after
                 acknowledging “complex and severe situations” in recent
                 months.


          o ⚓ China_welcomes_Year_of_the_Snake,_but_‘nobody_is_spending’⠀⇛


                 Chinese and Hong Kongers dream of a better economy and a
                 more predictable world amid post-COVID gloom.


          o ⚓ DeSmog ☛ Danielle_Smith’s_Capitulation_to_Big_Coal_Echoes_Her
            Fawning_Interactions_with_Donald_Trump⠀⇛


          o ⚓ Meduza ☛ Russian_court’s_fine_against_Google_for_blocking
            propaganda_channels_on_YouTube_reaches_nearly_two_duodecillion
            rubles_—_a_two_followed_by_39_zeros⠀⇛


                 As of January 15, the total value of claims from 17
                 Russian TV channels against Google for blocking their
                 YouTube accounts has reached 1.81 duodecillion rubles,
                 the newspaper RBC reported on Wednesday.


          o ⚓ Semafor Inc ☛ The_real_DeepSeek_revelation:_The_market_doesn’t
            understand_AI⠀⇛


                 After DeepSeek’s latest model release last week, venture
                 capitalist Marc Andreessen echoed Lehane’s Sputnik line.
                 His words and others’ panicked investors, and drained
                 more than $1 trillion of value from AI firms and related
                 companies Monday. AD


                 But that was the opposite reaction that Lehane was
                 advocating a few weeks ago, when he said the US needs to
                 do everything it can to attract the hundreds of billions
                 of global investment dollars earmarked for AI.


          o ⚓ New York Times ☛ After_DeepSeek,_Venture_Capital_Investors_Face
            Questions_About_Their_A.I._Bets⠀⇛


                 Venture capitalists plowed money into A.I. start-ups like
                 OpenAI and Anthropic. But the rise of the Chinese A.I.
                 start-up DeepSeek has called that funding frenzy into
                 question.


          o ⚓ CBS ☛ Google_Maps_users_in_U.S._will_see_Gulf_of_Mexico_renamed
            Gulf_of_America_and_Denali_changed_to_Mount_McKinley⠀⇛


                 The changes will not take effect until the government
                 updates those site listings in the Geographic Names
                 Information System, an official database that includes
                 descriptions and location information for millions of
                 places within the U.S. As of Tuesday morning, the Gulf of
                 Mexico and Denali still appear as such in the directory.


          o ⚓ Axios ☛ Meta_to_pay_Trump_$25_million_settlement_for_shutting_his
            accounts_after_Jan._6⠀⇛


                 Why it matters: Meta shut down Trump's Facebook and
                 Instagram accounts for about two years after the Jan. 6
                 Capitol riot. However, since Trump's reelection, CEO Mark
                 Zuckerberg has cozied up to the new administration.


                 $22 million will go toward a fund for Trump's
                 presidential library, according to the Wall Street
                 Journal, which first reported the deal. The rest will go
                 toward legal fees and individual plaintiffs.


          o ⚓ RTL ☛ Meta_agrees_to_pay_Trump_$25_mn_to_settle_account_ban
            lawsuit⠀⇛


                 According to people familiar with the agreement, the
                 Journal said, $22 million of the payment will go towards
                 funding Trump's future presidential library, with the
                 remainder covering legal fees and payments to other
                 plaintiffs in the case.


                 Meta in the settlement will not admit wrongdoing over the
                 suspensions of Trump's accounts.


          o ⚓ Silicon Angle ☛ Meta_back_in_the_‘tent’_after_agreeing_to_settle
            Trump’s_$25M_censorship_lawsuit⠀⇛


                 Meta Platforms Inc. today agreed to a $25 million
                 settlement over the lawsuit President Donald Trump
                 brought against the company in 2021 for suspending his
                 accounts following the Jan. 6 insurrection at the U.S.
                 Capitol.


          o ⚓ The Washington Post ☛ Meta_settles_Trump_lawsuit,_to_pay_$25
            million_over_censorship⠀⇛


                 Meta agreed to pay $25 million to resolve the legal
                 dispute, according to a person familiar with the matter
                 who spoke on the condition of anonymity to discuss
                 nonpublic terms of the deal. The bulk of the settlement,
                 $22 million, will help fund Trump’s presidential library,
                 while the rest will pay legal fees and be divided among
                 other plaintiffs in the case, according to Meta spokesman
                 Andy Stone.


          o ⚓ The Washington Post ☛ Does_Elon_Musk_cheat_at_video_games?_An
            investigation.⠀⇛


                 The world’s richest man has admitted to paying to boost
                 his online warriors into global leaderboards, raising
                 questions about his gaming prowess — and his need for
                 digital praise.


          o ⚓ Dan Slimmon ☛ Incident_SEV_scales_are_a_waste_of_time⠀⇛


                 But when you’re organizing an incident response, is
                 severity really what matters?


          o ⚓ India Times ☛ TikTok_to_invest_$3.8_billion_in_Thailand_data
            hosting_project,_investment_board_says⠀⇛


                 The Chinese firm's investment was made by its Singapore-
                 based unit and would support activities of affiliated
                 companies, with operations slated to begin in 2026,
                 Thailand's Board of Investment said.


          o ⚓ The Register UK ☛ Trump's_new_Federal_CIO_has_never_held_such_a
            job_before⠀⇛


                 The US has a new federal chief information officer who,
                 based on his resume, has no prior experience as a CIO but
                 is now tasked with overseeing IT operations and strategy
                 for the entire federal government.


          o § Misinformation/Disinformation/Propaganda⠀➾


                # ⚓ FAIR ☛ ACTION_ALERT:_When_Trump_Tried_to_Freeze_Federal
                  Funds,_WaPo_Saw_Not_Illegality_But_‘Determination’⠀⇛


                       When President Donald Trump ordered an
                       unprecedented freeze on all federal grants and
                       loans, a few news outlets responded with at least
                       some degree of appropriate alarm and scrutiny.


                # ⚓ Meduza ☛ E.U._reportedly_plans_to_ban_more_than_half_a
                  dozen_more_Russian_media_outlets⠀⇛


                       The sanctions reportedly entail a complete ban on
                       broadcasting, distributing, and promoting the
                       content of these outlets. E.U. Internet providers
                       will be required to block access to these
                       resources.


                # ⚓ VOA News ☛ Russia_weds_biolab,_organ_harvesting
                  conspiracies_to_discredit_US,_Ukraine⠀⇛


                       Moscow continues to push the discredited
                       disinformation narrative that the Ukrainian state
                       is systematically engaged in illicit organ
                       harvesting. Russian officials and state-owned news
                       outlets propagate speculations that Kyiv and the
                       U.S. prolong the war to keep ongoing bioweapons
                       experiments and uncontrolled organ harvesting.


                       Russian Foreign Ministry spokeswoman Maria
                       Zakharova recently threaded these two propaganda
                       lines together.


                # ⚓ The Register UK ☛ Trump_tells_Musk_to_'go_get'_Starliner
                  astronauts⠀⇛


                       There is so much wrong with this exchange that it
                       is difficult to know where to begin.


                # ⚓ VOA News ☛ Truth_struggles_against_propaganda_and
                  censorship_on_China’s_DeepSeek_AI⠀⇛


                       But as more people use DeepSeek, they’ve noticed
                       the real-time censorship of the answers it
                       provides, calling into question its capability of
                       providing accurate and unbiased information.


                       The app has gone through a series of real-time
                       updates to the content it can display in its
                       answers. Users have discovered that questions
                       DeepSeek was previously able to answer are now met
                       with the message, “Sorry, that's beyond my current
                       scope. Let’s talk about something else.”


                       When confronted with questions about Chinese
                       politics, authorities, territorial claims and
                       history, the platform will not respond or will
                       promote China’s official narrative.


                # ⚓ MIT Technology Review ☛ Three_reasons_Meta_will_struggle
                  with_community_fact-checking⠀⇛


                       There is a real risk under this style of moderation
                       that only posts about things that a lot of people
                       know about will get flagged in a timely manner—or
                       at all. Consider how a post with a picture of a
                       death cap mushroom and the caption “Tasty” might be
                       handled under Community Notes–style moderation. If
                       an expert in mycology doesn’t see the post, or sees
                       it only after it’s been widely shared, it may not
                       get flagged as “Poisonous, do not eat”—at least not
                       until it’s too late. Topic areas that are more
                       esoteric will be undermoderated. This could have
                       serious impacts on both individuals (who may eat a
                       poisonous mushroom) and society (if a falsehood
                       spreads widely).


    * § Censorship/Free Speech⠀➾


          o ⚓ New York Times ☛ DeepSeek’s_A.I._Chatbot_Awkwardly_Navigates
            China’s_Censors⠀⇛


                 Asked about sensitive topics, the bot would begin to
                 answer, then stop and delete its own work. It refused to
                 answer questions like: “Who is Xi Jinping?”


          o ⚓ CS Monitor ☛ RedNote_is_bringing_Chinese_and_Americans_face-to-
            face._What_have_they_learned?⠀⇛


                 Some Americans reported having their content blocked or
                 accounts suspended for material deemed sensitive by
                 RedNote, as content moderators control what the Chinese
                 audience can see. A search on RedNote for Xi Jinping,
                 China’s leader, comes up blank.


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


          o ⚓ Axios ☛ Jim_Acosta_leaving_CNN,_Trump_celebrates_as_"good_news"⠀⇛


                 "It is never a good time to bow down to a tyrant," said
                 Acosta, the son of a Cuban refugee. "I have always
                 believed it's the job of the press to hold power to
                 account. I always try to do that here at CNN and I plan
                 on doing all of that in the future."


          o ⚓ Press Gazette ☛ BBC_World_Service_to_cut_130_roles_to_save_£6m_in
            the_next_year⠀⇛


                 BBC World Service will cut a net 130 jobs, including in
                 the UK, as it battles to save £6m in the year ahead.


                 Foreign Secretary David Lammy announced an extra £32.6m
                 for the BBC World Service for 2025/26 in November.


    * § Civil Rights/Policing⠀➾


          o ⚓ TwinCities Pioneer Press ☛ Ramsey_County_probation_officers
            announce_strike_authorization⠀⇛


                 Teamsters Local 320 represents 213 probation officers in
                 the county.


          o ⚓ JURIST ☛ HRW:_Libya_laws_targeting_activists_violate_freedom_of
            assembly_and_association⠀⇛


                 Human Rights Watch (HRW) reported on Monday that Libyan
                 authorities have used a “litany of overbroad and
                 draconian legacy laws” to suppress civil rights activists
                 and organizations. The group said the threats, harassment
                 and arbitrary detention under these laws amount to an
                 infringement of freedom of assembly and association under
                 international law.


          o ⚓ Jacobin Magazine ☛ Donald_Trump’s_Anti-Union_Offensive_and_How_We
            Stop_It⠀⇛


                 Donald Trump is rolling out a blitz of attacks on workers
                 in hopes of paralyzing organized labor’s energy to fight
                 back. But unions can only survive this onslaught by
                 fighting, not by burying their heads in the sand.


          o ⚓ Don Marti ☛ time_to_sharpen_your_pencils,_people⠀⇛


                 And it’s possible for advertisers to reduce support for
                 Meta without making a stink or drawing fire. Fortunately,
                 Meta ads are hella expensive, and results can be
                 unrealistic and unsustainable. Like all the Big Tech
                 companies these days, Meta is coping with a slowdown in
                 innovation by tweaking the ad rules to capture more
                 revenue from existing services. As Jakob Nielsen pointed
                 out back in 2006, in Search Engines as Leeches on the
                 Web, ad platforms can even capture the value created by
                 others. A marketer doesn’t have to shout "¡No Pasarán!"
                 or anything—just sharpen their best math pencil, quietly
                 go through the numbers, spot something that looks low-
                 ROAS or fraudulent in the Meta column, tweak the budget,
                 repeat. If users can dial down Meta, so can marketers.
                 And if Meta comes out with something new and risky like
                 the adfraud in the browser thing, Privacy-Preserving
                 Attribution, use the fraud problem as the reason not to
                 do it—you don’t have to stand up and talk politics at
                 work.


          o ⚓ Tech Policy Press ☛ How_Meta_Turned_Its_Back_on_Human_Rights_|
            TechPolicy.Press⠀⇛


                 Meta has never been a paragon of principle. From its
                 careless handling of users’ personal data to its
                 acquiescence in the face of foreign authoritarian
                 governments’ censorship demands, Meta has provided many
                 reasons to doubt its commitment to human rights. But for
                 a time, the company made what seemed like a good-faith
                 effort to improve its track record. Now, instead of
                 continuing to lead his company on the path to progress,
                 Meta’s founder and CEO, Mark Zuckerberg, has chosen to
                 disregard longstanding human rights norms in favor of a
                 simplistic — and politically expedient — approach to free
                 speech.


          o ⚓ CoryDoctorow ☛ Pluralistic:_All_bets_are_off⠀⇛


                 When unions are outlawed, only outlaws will have unions.
                 Unions don't owe their existence to labor laws that
                 protect organizing activities. Rather, labor laws exist
                 because once-illegal unions were formed in the teeth of
                 violent suppression, and those unions demanded – and got
                 – labor law.


                 Bosses have hated unions since the start, and they've
                 really hated laws protecting workers. Dress this up in
                 whatever self-serving rationale you want – "the freedom
                 to contract," or "meritocracy" – it all cashes out to
                 this: when workers bargain collectively, value that would
                 otherwise go to investors and executives goes to the
                 workers.


          o ⚓ Axios ☛ Native_American_tribes_say_ICE_harassing_members_amid
            raids⠀⇛


                 The big picture: Several tribes have issued warnings and
                 advice to their members based on what they say have been
                 encounters in which U.S. immigration agents have demanded
                 proof of citizenship — episodes that the tribes have
                 linked to racial profiling.


          o ⚓ Press Gazette ☛ Police_called_‘risible’_after_rejecting
            journalist_for_job_over_'leak'_risk⠀⇛


                 Now Paul Hill, who spent 37 years at The Daily Telegraph
                 before moving into a similar public-facing police role as
                 the one for which DeBretton-Gordon applied, told Press
                 Gazette he was “worried” by the implication that
                 journalists are necessarily untrustworthy.


                 Press Gazette is aware of at least three journalists who
                 changed careers to become police detectives in recent
                 years, and police force press offices around the UK are
                 filled with former reporters.


          o ⚓ The Hindu ☛ Triple_Talaq:_How_many_FIRs_lodged_against_Muslim_men
            under_anti-triple_talaq_law,_SC_asks_Centre⠀⇛


                 The utterance of triple talaq was declared “null and
                 void” by a Constitution Bench in a majority judgment in
                 August 2017. The Muslim Women (Protection of Rights on
                 Marriage) Act, 2019 came into force with retrospective
                 effect from September 19, 2018. The law held triple talaq
                 to be a non-bailable offence punishable with three years’
                 imprisonment.


          o ⚓ Techdirt ☛ Florida_Deputy_Watching_Porn_On_His_Phone_Crashes_Into
            Car_Stopped_For_A_School_Bus⠀⇛


                 Body cam footage recovered from Lake County (FL)
                 Sheriff’s Office deputy Tristan Macomber’s body cam
                 showed him driving southbound before hitting a stopped
                 vehicle ahead of him, deploying his airbags. Then it
                 showed him fishing around for his phone (which was now on
                 the driver seat floorboard), flipping it over, taking it
                 with him, and heading to the car he hit to apologize.


                 Then came all the lies.


          o ⚓ BoingBoing ☛ Cleveland_cops_ruin_murder_case_by_using_AI_to_get
            search_warrant⠀⇛


                 "Lets just cheat and see if it flies" is classic gumshoe
                 work—consider the fine American traditions of parallel
                 construction, entrapment and plea threatening—but using
                 AI to manoever judges into signing warrants might be too
                 much for even the most cursed U.S. courtrooms.


          o ⚓ Cleveland ☛ Cleveland_police_used_AI_to_justify_a_search_warrant.
            It_has_derailed_a_murder_case⠀⇛


                 The company that produced the facial recognition report,
                 Clearview AI, has been used in hundreds of law
                 enforcement investigations throughout Ohio and has faced
                 lawsuits over privacy violations.


                 Not only does Cleveland lack a policy governing the use
                 of artificial intelligence, Ohio lawmakers also have
                 failed to set standards for how police use the tool to
                 investigate crimes.


    * § Digital Restrictions (DRM)⠀➾


          o ⚓ Jim Nielsen ☛ Notes_on_Google_Search_Now_Requiring_JavaScript⠀⇛


                 Search that requires JavaScript won’t cause the web to
                 die. But it’s a sign of what’s to come (emphasis mine):


                 "Requiring JavaScript for Google Search is not about the
                 fact that 99.9 percent of humans surfing the web have
                 JavaScript enabled in their browsers. It’s about taking
                 advantage of that fact to tightly control client access
                 to Google Search results. But the nature of the true open
                 web is that the server sticks to the specs for the HTTP
                 protocol and the HTML content format, and clients are
                 free to interpret that as they see fit. Original, novel,
                 clever ways to do things with website output is what made
                 the web so thrilling, fun, useful, and amazing. This
                 JavaScript mandate is Google’s attempt at asserting that
                 it will only serve search results to exactly the client
                 software that it sees fit to serve."


                 Requiring JavaScript is all about control.


§ Monopolies/Monopsonies⠀➾


    * ⚓ Silicon Angle ☛ UK_regulator_identifies_competitive_issues_in_public
      cloud_market⠀⇛


           The U.K.’s antitrust watchdog has tentatively determined that
           the public cloud market is not as competitive as it should be.
           The Competition and Markets Authority, or CMA, published its
           findings today.


    * ⚓ Chris Coyier ☛ A_Little_Arm_Chair_Businessin’_about_Chrome⠀⇛


           Yes, Chrome is an amazing software product. Yes, it has an
           incredible amount of users. Yes, those users probably log usage
           statistics that most software products would drool over.


           But also: it’s a massive liability.


    * ⚓ Open Web Advocacy ☛ Digital_Markets_Act:_Europe’s_Digital
      Competitiveness_at_Stake⠀⇛


           The open web could be a superior alternative to closed,
           proprietary mobile operating systems that restrict
           interoperability and impose unjustified fees on developers and
           businesses. However, these same gatekeepers have restricted the
           web's ability to compete fairly in contravention of the DMA.


           If the web were able to compete fairly and effectively with
           native app stores, these gatekeepers would not be able to
           demand a 30% cut of all third-party software. Gatekeepers
           obtain this cut not through merit but simply by blocking all
           alternative means of running third-party software, such as Web
           Apps.


           Critically, the DMA contains important rules allowing browsers
           and web apps to compete fairly.


    * § Trademarks⠀➾


          o ⚓ TTAB Blog ☛ TTAB_Reverses_USPTO's_Section_2(d)_Refusal_of_PBE
            AWARDS_&_Design_for_Marketing_Award_Services⠀⇛


                 The Board tossed out the USPTO's refusal to register the
                 mark PBE AWARDS & Design (shown first below) for
                 "Educational services, namely, providing incentives to
                 students to demonstrate excellence in the field of
                 marketing and product packaging design through the
                 issuance of awards; Providing recognition and incentives
                 by the way of awards and contests to demonstrate
                 excellence in the field of marketing and product
                 packaging design" [AWARDS disclaimed], finding confusion
                 unlikely with the registered mark PBE PROJECT BEAUTY EXPO
                 (Stylized), shown second below, for "Providing a forum
                 for companies to showcase, display, demonstrate and
                 promote new and innovative ideas, products and services
                 in the convention/meeting management arena" [PROJECT
                 BEAUTY EXPO disclaimed]. In_re_The_Spearhead_Group,_Inc.,
                 Serial No. 97891908 (January 24, 2025) [not precedential]
                 (Opinion by Judge Christopher C. Larkin).


    * § Copyrights⠀➾


          o ⚓ Public Domain Review ☛ Peckish_Alphabetics:_The_Tragical_Death_of
            a_Apple-Pye_(ca._1793–1796)⠀⇛


                 An alphabet primer in which letters fight for a slice of
                 apple pie.


          o ⚓ Torrent Freak ☛ New_Bill_Aims_to_Block_Foreign_Pirate_Sites_in
            the_U.S.⠀⇛


                 Pirate site blocking orders are a step closer to becoming
                 reality in the United States after Rep. Zoe Lofgren
                 introduced the Foreign Anti-Digital Piracy Act earlier
                 today. Should it become law, FAPDA would allow
                 rightsholders to obtain site blocking orders targeted at
                 verified pirate sites, presumably run by foreign
                 operators. The blocking orders would apply to both ISPs
                 and DNS resolvers. The latter is a novelty.


          o ⚓ Torrent Freak ☛ TorrentGalaxy_Pleads_Financial_Difficulties,_Asks
            Users_to_Chip_In⠀⇛


                 TorrentGalaxy was taken over by new owners last year and
                 faced repeated difficulties in the months that followed.
                 Official updates have been sparse, but according to a new
                 message posted by the operators, they're having trouble
                 paying the bills. Further details are lacking, but the
                 call for help resulted in a healthy stream of crypto
                 donations, which will be of interest to anti-piracy
                 groups too.


          o ⚓ The Verge ☛ OpenAI_has_evidence_that_its_models_helped_train
            China’s_DeepSeek⠀⇛


                 OpenAI told the Financial Times that it found evidence
                 linking DeepSeek to the use of distillation — a common
                 technique developers use to train AI models by extracting
                 data from larger, more capable ones. It’s an efficient
                 way to train smaller models at a fraction of the more
                 than $100 million that OpenAI spent to train GPT-4. While
                 developers can use OpenAI’s API to integrate its AI with
                 their own applications, distilling the outputs to build
                 rival models is a violation of OpenAI’s terms of service.
                 OpenAI has not provided details of the evidence it found.


                 The situation is rich with irony. After all, it was
                 OpenAI that made huge leaps with its GPT model by sucking
                 down the entirety of the written web without consent.


          o ⚓ Press Gazette ☛ Govt_defeated_in_Lords_over_amendments_protecting
            copyright_from_AI_scraping⠀⇛


                 Government plans to allow AI companies to use news
                 content to train artificial intelligence models without
                 permission or remuneration have been dealt a blow in the
                 House of Lords.


                 Peers voted 145 to 126, majority 19, in favour of a
                 package of amendments to the Data (Use and Access) Bill
                 aiming to tackle the unauthorised use of intellectual
                 property by big tech companies scraping data for AI.




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