𝕿𝖊𝖈𝖍𝖗𝖎𝖌𝖍𝖙𝖘 Bulletin for Tuesday, October 29, 2024 ┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅ Generated Wed 30 Oct 02:49:16 GMT 2024 Created by Dr. Roy Schestowitz (𝚛𝚘𝚢 (at) 𝚜𝚌𝚑𝚎𝚜𝚝𝚘𝚠𝚒𝚝𝚣 (dot) 𝚌𝚘𝚖) Full hyperlinks for navigation omitted but are fully available in the originals The corresponding HTML versions are at 𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈 Latest in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒕𝒙𝒕 and older bulletins can be found at 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒕𝒙𝒕-𝒂𝒓𝒄𝒉𝒊𝒗𝒆𝒔 Full IPFS index in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒊𝒑𝒇𝒔 and as plain text in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒊𝒑𝒇𝒔/𝒕𝒙𝒕 Gemini index for the day: gemini://gemini.techrights.org/2024/10/29/ ╒═══════════════════ 𝐑𝐄𝐂𝐄𝐍𝐓 𝐁𝐔𝐋𝐋𝐄𝐓𝐈𝐍𝐒 ════════════════════════════════════╕ Previous bulletins in IPFS (past 21 days, in chronological order): QmbHjgPAAcGNUG9Sej4vSKhK8DfUYokfFkXLdKwr1JtGJG QmdLsuRLzrwb58dZaSmJah6oCmNNZ6cW4ick4chqJmHjmY QmTNR3uqcbMYjPAbbHjBqyNJb3ib8kytQvdFnATzkBFVvo QmfCHrqMLfMsHXYnQeAvVuNYt91Zw2AmMJ5mx4RqsrWy3b QmR2rr1yXDANjQBEz2oGtd2UMgy9U37FHdjpUhPfAk7h5z QmWE6ucdKk9Q1pi6ce3ko9xPWd9Y4BjpLij3W7tJ5TMjG3 QmaoEDiALTYYZdaq3SQ86aQpMwUji1nqCeLbXAoszFRYvJ QmSTkZUY74BcgbgqS6JKwwNbVnbzY5uqwpgWtYonGJua8s QmXZcp3rXLYa24pYd7jUu6sPDrhziRCNCok875WLJTLysP QmUE7nd24kx2soZFbSYKDsb1ik1wpirFTRTBhDTj6w9sjh QmdKeWBhfnjgQLYU48wto7DdStpXsB5mE1yEEnWcxQ53vu QmfSnnTnjcAe3YvtRsVgAwUJfpcEk1dM5J5yjJLyv7MxqM QmQ16CkpxBbMzPZ6wZcuKBUcxH1RZ8uAEhcvdBsPRpVZe9 QmT3gTQRv33wEDtJveL8DiqiacGeRaxEbRFDUyVSJEAvDL QmTs9qcwghZPs5oBh9qzsu8a11T4s6xHrJjVNyk5miFy3X Qmdqd6mb8mj27qVvQZRR7sjshrXYYirWm9vRttLkNB5rW6 QmSjY85vxbu9nNFHUMmuK7CxRame2VYuhb523CJaK5zRkj QmZwah9nZHVvSzbJWEAMxumYDpanFPqTahnqoNP83tuZbx QmQWSrGfeYwgf6HE9N3742DJrJwq8uNSCUAz469CnuUFGe QmcgTTyseF5zFd4MLquM4PtJZzkFcBEqaUbqDe4eaUx6Na QmZMEFKvpgvjxAcV9Pwu7yF74LYZwS7ktdLFdYb988Ncfu ╒═══════════════════ 𝐈𝐍𝐃𝐄𝐗 ═══════════════════════════════════════════════════╕ ⦿ Techrights - Computer Science Can Outlive This Wave of "AI" Hype ⦿ Techrights - Debian Moving to Static Pages for Everything ("Migrate the Debian Main Website to HuGo") ⦿ Techrights - Emilien ("unixfox") Manages to Bring yewtu.be (Big Instance of Invidious) Back ⦿ Techrights - Focusing on Getting Stuff Done ⦿ Techrights - IRC Proceedings: Monday, October 28, 2024 ⦿ Techrights - Linus Torvalds is Basically Explaining That OSI, Sponsored by Microsoft to Lobby for Microsoft, is Openwashing a Marketing Scam ⦿ Techrights - Linux Fork or Community Fork of Linux in Russia ⦿ Techrights - [Meme] Change the Name, Change History ⦿ Techrights - [Meme] In Serious Trouble With Law Enforcement (for Trying to Censor People) ⦿ Techrights - [Meme] "Modern" Cars Are Plasticware That May Only Last Years, Not Decades ⦿ Techrights - [Meme] No Cupholders ⦿ Techrights - [Meme] To 'Cancel' the GPL They Need to Cancel Its Guardian ⦿ Techrights - More on What Caused Volkswagen to Lose So Much Money (Proprietary Software) ⦿ Techrights - Over at Tux Machines... ⦿ Techrights - Rebranding Products/Services/Vapourware as a Sign of Failure ⦿ Techrights - Techrights Will Only Cover More of What Microsofters Don't Want It to Talk About ⦿ Techrights - "Volkswagen refused to help police locate a stolen car with a 2-year-old inside because the owner's subscription fee was not paid." ⦿ Techrights - Volkswagen's Mass Layoffs Have a Lesson Somewhere (in the 1960s) ⦿ Techrights - You Know That Microsoft's LinkedIn is Struggling When It Starts Spamming Users and Disguises the Spam as Personal Messages ䷼ Bulletin articles (as HTML) to comment on (requires login): https://techrights.org/n/2024/10/29/Computer_Science_Can_Outlive_This_Wave_of_AI_Hype.shtml https://techrights.org/n/2024/10/29/Debian_Moving_to_Static_Pages_for_Everything_Migrate_the_Debian.shtml https://techrights.org/n/2024/10/29/Emilien_unixfox_Manages_to_Bring_yewtu_be_Big_Instance_of_Invid.shtml https://techrights.org/n/2024/10/29/Focusing_on_Getting_Stuff_Done.shtml https://techrights.org/n/2024/10/29/IRC_Proceedings_Monday_October_28_2024.shtml https://techrights.org/n/2024/10/29/Linus_Torvalds_is_Basically_Explaining_That_OSI_Sponsored_by_Mi.shtml https://techrights.org/n/2024/10/29/Linux_Fork_or_Community_Fork_of_Linux_in_Russia.shtml https://techrights.org/n/2024/10/29/Meme_Change_the_Name_Change_History.shtml https://techrights.org/n/2024/10/29/Meme_In_Serious_Trouble_With_Law_Enforcement_for_Trying_to_Cens.shtml https://techrights.org/n/2024/10/29/Meme_Modern_Cars_Are_Plasticware_That_May_Only_Last_Years_Not_D.shtml https://techrights.org/n/2024/10/29/Meme_No_Cupholders.shtml https://techrights.org/n/2024/10/29/Meme_To_Cancel_the_GPL_They_Need_to_Cancel_Its_Guardian.shtml https://techrights.org/n/2024/10/29/More_on_What_Caused_Volkswagen_to_Lose_So_Much_Money_Proprietar.shtml https://techrights.org/n/2024/10/29/Over_at_Tux_Machines.shtml https://techrights.org/n/2024/10/29/Rebranding_Products_Services_Vapourware_as_a_Sign_of_Failure.shtml https://techrights.org/n/2024/10/29/Techrights_Will_Only_Cover_More_of_What_Microsofters_Don_t_Want.shtml https://techrights.org/n/2024/10/29/Volkswagen_refused_to_help_police_locate_a_stolen_car_with_a_2_.shtml https://techrights.org/n/2024/10/29/Volkswagen_s_Mass_Layoffs_Have_a_Lesson_Somewhere_in_the_1960s.shtml https://techrights.org/n/2024/10/29/You_Know_That_Microsoft_s_LinkedIn_is_Struggling_When_It_Starts.shtml ䷞ Followed by Daily Links (assorted news picks curated and categorised): https://techrights.org/n/2024/10/29/Gemini_Links_29_10_2024_Covid_in_the_Office_Narcolepsy_Node_to_.shtml https://techrights.org/n/2024/10/29/Gemini_Links_29_10_2024_Electric_Boogaloo_and_UCEPROTECTL3.shtml https://techrights.org/n/2024/10/29/Links_28_10_2024_TSMC_Blunder_and_Volkswagen_Layoffs.shtml https://techrights.org/n/2024/10/29/Links_29_10_2024_Bikepacking_Adventures_and_Citrus_Assessment.shtml https://techrights.org/n/2024/10/29/Links_29_10_2024_Election_War_and_Monopoly_Coverage.shtml ䷩ 𝚕𝚒𝚗𝚎 105 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/10/29/Computer_Science_Can_Outlive_This_Wave_of_AI_Hype.shtml Gemini version at https://techrights.org/n/2024/10/29/Computer_Science_Can_Outlive_This_Wave_of_AI_Hype.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Computer Science Can Outlive This Wave of "AI" Hype⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Oct 29, 2024 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Evento_presencial:_«La_normalización_en_los_centros_de datos_y_el_Sofware_Libre»/_Jueves_31_de_octubre_–_7:20_p.m.⦈_ Computer Scientists and scientists in_general don't need this hype THE likely last_RMS_talk_in_Peru (this coming_Thursday) will cover the Free software movement and GNU operating system. If there's one thing that RMS (Dr. Stallman) and Torvalds agree on these days (there's a lot more than one), it is "AI"_being_nonsense_and_hype. In the context of text, it's just grammatically- correct pure nonsense. In the case of images, it's just computer-generated (CG) assembly of lifted ("stolen") art, passed off as "Fair Use". They're not really "AI", they're just LLMs (old concept) and CG art based on prior work, without the necessary attribution or monetary compensation. "AI" - as in machine learning - is older than GNU itself. In some form or another, classifiers derived from data have been devised for decades, but they have severe limitations. I've worked in this area for over 20 years, so I know the limitations. The undermined corporate media is intentionally downplaying the limitations and, to make matters worse, it starts calling "AI" just about anything that a computer does, even if there's no training done and no data upon which classifiers are built. To them, anything with if/else statements is "logic" and thus "AI". Today I looked for about 20 images that are Halloween themed and this year I'm more disturbed than last year to find almost 80% of the images can be categorised as CG (I won't say "AI") and they use more or less the same objects, e.g. the exact same pumpkin art. That's not even original, they just use some stochastic process to determine the location of objects and then mix- and-match some objects to make a supposedly original scene. It's as boring as LLMs, which spew out the same lies, albeit with permutations and a plausibly- sounding tone. My wife says they'll make society dumber and dumber (and then ingest the stupidity that it generated itself). But there's also some big news beneath the surface. Good news. I've noticed that I'm not the only one to boycott or blacklist publications that got caught using LLMs. They typically perish very fast once they do this. The word spreads, people take action, and then the publishers perish. In effect, they have struggle, they try to fool their readers, but at the end it all gets much worse because readers won't bother reading bots. In the case of LinuxSecurity.com, recently I've noticed they've reverted back to mostly original articles, but it's too late. The damage was done. We'll never link to them (ever!) again. The trust is gone. The bottom line is, reputations will be damaged if people fake their work or pass off some bot "spew" as their own. Don't do it. It's just not worth it. █ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣾⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣀⣀⣀⣀⣀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠄⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⠏⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠶⡦⠶⡖⠦⡲⠠⠠⠶⠶⠆⠀⠀⠀⠀⠀⠀⠉⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠋⠋⠛⠛⠋⠋⠋⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⡆⠀⣤⡄⠀⣤⣤⣀⣤⣄⣤⡄⣤⣤⣤⡀⠤⣄⣶⢰⡦⣤⡄⣤⣄⣠⣤⣾⢠⣾⡄⣤⣤⠀⢠⣤⡄⣤⣤⠀⢰⣆⣤⣄⣠⡤⠀⢠⣤⢠⣤⣀⣤⣄⢰⡤⣤⡄⣠⣄⢠⣤⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⠷⠞⠿⠇⠀⠿⠸⠛⠷⠟⠿⠀⠟⠻⠸⠗⠿⠿⠻⠸⠷⠿⠞⠿⠟⠻⠶⠿⠙⠿⠋⠟⠿⠀⠸⠿⠇⠿⠿⠀⠸⠟⠷⠟⠺⠟⠀⠻⠶⠙⠿⠛⠇⠿⠸⠷⠿⠀⠻⠟⠸⠿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣼⡇⣤⣤⠀⣠⢼⡇⣤⣄⢴⡄⣤⣤⢠⣤⠀⢠⣀⡄⠀⣤⣤⣿⠀⢰⣖⣂⡤⣄⢼⡧⣶⢤⣤⣄⡤⢠⣤⢠⡤⢠⣤⡀⠀⡆⠀⣧⣸⢤⣠⡤⢄⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠚⠃⠛⠟⠀⠙⠚⠛⠛⠛⠘⠆⠻⠛⠐⠟⠀⢈⡿⠁⠈⠻⠟⠛⠀⠐⠚⠋⠓⠋⠘⠀⠛⠂⠛⠙⠃⠛⠛⠘⠃⠘⠛⠀⠀⠓⠂⠛⠘⠚⠙⠃⠘⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⣠⣤⣤⣬⣤⣥⡄⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⢶⣶⣶⣤⣄⡲⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⡿⠋⢁⣀⣠⣤⡙⢿⣿⣿⣮⡻⣿⣿⣿⣿⣿⣿⣿⣽⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⣿⣷⣯⣿⣿⣿⣿⣽⣿⣿⣯⣿⣿⣿⣿⣭⣭⣿⣿⣿⣬⣭⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠁⢠⣿⣿⣿⣿⣿⠀⢹⣿⣿⣷⡹⣿⣿⣯⣾⣯⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣭⣿⣿⣿⣿⣯⣿⣿⣿⣯⣯⣿⣿⣭⣿⣽⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠠⠀⠀⢸⣿⣿⡟⠀⢸⣿⣿⣿⣿⣿⡇⠈⢻⣿⣿⣧⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣻⣯⣿⣽⣟⣿⣿⣿⣽⣿⣯⣿⣿⣯⣿⣯⣫⣭⣿⣯⣫⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⣿⣿⣿⡿⡽⣿⡟⠀⠈⢻⣿⣿⢸⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣭⣯⣿⣿⣿⣭⣽⣽⣯⣽⣿⣯⣿⣿⠀⠀⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣧⠀⣹⣻⣿⣿⣿⡇⠀⠀⠀⠠⣿⠇⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣯⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣽⣿⣿⣏⣿⣗⣿⣯⣻⣿⣿⠀⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⠟⠫⡀⣿⡿⣿⣿⠇⠀⠀⠀⠀⠀⢋⣼⣿⣿⣿⣿⣿⣯⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣯⣿⣿⣯⣿⣿⣿⣿⣿⣽⣉⣿⣫⣯⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠂⠀⠀⠈⠛⠇⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣤⣤⣶⣾⣶⣶⣷⣶⣶⣶⣿⣿⣿⣿⣿⡛⠛⠛⠛⠛⠛⠛⠻⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⡿⡟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠁⠀⠀⠀⢀⡀⠀ ⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⡄⢀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⠋⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠀⠀⠈⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠘⡋⣟⣿⣿⣿⣿⣿⣿⣿⣿⣙⡛⣿⣿⢸⠀⡇⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⠚⠁⠀⠀⠒⣀⣄⠀ ⠀⠀⠀⠀⠀⠀⠰⠶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠄⠈⢠⡼⣿⣾⣿⣿⣿⣿⡉⠉⠉⢻⢻⢸⠀⡇⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠐⠋⢈⡝⠻⢶⣤⣴⠾⢋⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠰⡆⢠⣶⣤⡄⣤⣤⡤⣦⣤⣴⣦⣤⢤⣤⠀⠗⠀⡆⢠⣦⢸⣶⡆⣿⣿⣿⣿⣟⣿⣯⣤⣤⣼⣼⣼⣤⣯⡄⢸⠀⠀⠀⡅⠀⠀⠀⠀⠀⠀⠀⠸⢷⣤⣀⠀⣀⣤⡾⢧⠉⣴⣾⣿⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠁⠈⠁⠉⠀⠈⠁⠉⠉⠉⠉⠉⠉⢈⠉⠀⠄⠀⡇⠈⢉⣈⣉⣁⣉⣩⣈⣉⣁⣉⣌⣁⢁⣁⣀⣹⣉⡏⠁⢸⠀⠀⠀⡋⠀⠀⠀⠀⠀⠀⠀⠀⣦⣌⡙⠿⢋⣥⣶⢸⠀⣾⣿⣿⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⢈⠀⠀⡇⠀⠀⢀⣈⠉⠉⠉⠉⢩⣯⣭⠉⠉⠉⠉⠉⠉⠋⠋⠉⣇⠀⢸⠀⠀⠀⠳⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⣿⠀⣿⣿⣿⢸⠀⣽⣿⣿⡆⠀ ⠀⠀⠀⠀⠀⠀⢰⣱⠀⠺⠴⠾⠴⠆⢿⢲⠶⢶⡾⠷⡶⢶⣶⣶⡿⣾⠀⠀⡇⠀⠀⠸⠿⠠⢛⣻⣿⣿⣿⣿⣶⣶⣶⣶⠀⠀⠀⠀⠀⠷⠀⢸⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠄⢐⣿⣽⡿⠀⣿⣿⣿⢘⠀⣿⣿⣿⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⠀⠪⠽⠿⠃⠮⠿⠿⠸⠼⠷⠶⠶⢿⡀⠀⠀⢸⠂⠀⠀⠀⠀⠸⠽⠐⠿⢿⣿⢿⢿⣿⣿⣿⣿⡿⡁⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⡄⢸⣿⣿⡏⠀⣿⣿⣿⠸⠀⣿⡟⢋⣼⣶ ⠀⠀⠀⠀⠀⠰⠰⠴⠖⠸⠶⠖⠶⠶⡶⠶⠆⠼⠷⠷⠸⢽⠷⠼⠶⢾⠶⠶⠀⠀⠀⢸⠹⠰⣷⡶⣿⣷⣿⣿⣿⣾⣶⣿⣾⠶⠶⠶⠶⠶⠾⢾⡶⠷⠶⣿⠴⠶⡦⡶⠆⠀⣳⡀⠿⣿⡇⠀⣿⣿⠿⡶⣿⣿⣿⣿⡟⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠘⠀⠀⠀⣿⠀⠀⠀⠀⠀⠛⣿⣿⣶⣌⡉⠀⢉⣤⣶⣿⣿⣿⣿⣿⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡗⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⡝⠀⠙⠻⢿⣿⣿⠿⢿⣟⣿⣿⣿⣿⠷⠂ ䷩ 𝚕𝚒𝚗𝚎 214 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/10/29/Debian_Moving_to_Static_Pages_for_Everything_Migrate_the_Debian.shtml Gemini version at https://techrights.org/n/2024/10/29/Debian_Moving_to_Static_Pages_for_Everything_Migrate_the_Debian.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Debian Moving to Static Pages for Everything ("Migrate the Debian Main Website to HuGo")⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Oct 29, 2024 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇HuGo⦈_ Or almost all the important parts of its site. Linking to this_page, Debian has announced what seems like a_real,_concrete plan to migrate everything to static_pages_with_Go_(or_HuGo). 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Migrate_the_Debian_main_website_to_HuGo⦈_ EARLIER this month Debian_wrote: "Debian will participate in this year's December Outreachy round with the projects "Automatic Indi-3rd-party driver update" and "Migrate the Debian main website to HuGo". We are currently in the Intern selection period and are looking forward to start the work. See https:// wiki.debian.org/Outreachy/" The Debian wiki isn't static, whereas "news" and "bits" appear to be static. It'll probably be a big job migrating all the existing stuff to Hugo (or "HuGo"), but Google et al can supply underpaid or unpaid (slave) labour, compensating with "recognition" or "experience" very_laborious_and_mostly boring_work. █ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣦⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀ ⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⠀⠀⠀⢠⣤⣤⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣆⠀⢀⣸⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠘⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟ ⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀ ⣿⢛⠟⢟⠛⢻⡻⡿⠟⠛⡟⡛⠛⣛⢟⣿⡻⢻⡛⢻⣟⢿⣛⠋⠻⡿⡛⠟⢛⡟⣿⡟⠛⣛⠛⠛⡛⡻⠻⣻⣛⢻⣛⡛⠛⠛⣛⠛⢻⠛⡛⡟⡻⣻⡻⢟⣛⣻⣟⡛⠛⡟⠛⢛⠿⠻⣛⡛⣟⡟⣿⠛⢟⢛⣻⢛⣻⣻ ⣿⠲⠷⠗⠶⠚⠷⠷⠾⠶⠷⣶⠶⣷⠳⠻⠾⠾⡶⡾⡿⡾⢾⡶⢞⡷⠷⡷⣾⣓⠻⠚⠶⠶⠖⡶⣷⣾⠾⢿⣒⠷⢷⣷⢶⣶⣾⡮⢿⢶⣾⠶⠿⢺⠷⠚⡷⣿⣷⢷⠖⢷⢒⠳⢟⣾⣾⣶⣿⣾⣶⣶⣷⣾⣿⣾⣾⣾ ⣿⠶⠶⠶⠿⠶⠷⠾⣧⠶⠶⠷⢼⡷⠾⠾⠷⠶⣷⠦⠾⠶⢾⡶⠾⠷⠶⢷⡾⠿⠷⠶⣴⣷⣶⣶⣿⣾⣶⣾⣶⣶⣶⣷⣾⣿⣿⣷⣾⣾⣿⣶⣶⣶⣶⣶⠶⣿⣶⣿⣷⣶⣶⣶⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣀⣀⣀⣀⣀⣀⣀⣸⣀⣀⣀⣸⣀⣀⣀⣀⣀⣿⣛⣉⣉⣻⣓⣉⣉⣉⣻⣓⣘⣈⣉⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠒⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣶⠶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶ ⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢏⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣻⣛⢛⡛ ⣿⣧⠢⢊⣿⣯⣉⣩⣏⣍⣹⣹⣉⣉⣉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢣⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡛⠛⠛⢛ ⣿⣧⣽⣧⣽⣿⣭⣭⣽⣭⣽⣭⣭⣭⣭⣭⣯⣯⣭⣏⣭⣭⣽⣯⣭⣭⣭⣭⣭⣯⣭⢁⣌⣯⣽⣭⣯⣭⣽⣭⣽⣭⣍⣭⣭⣭⣭⣭⣭⣭⣽⣭⣭⣩⣭⣩⣭⣹⣭⣭⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣽⣭⣯⣭ ⣿⣿⣿⣿⣿⡧⠶⠶⢶⠷⠶⠷⠶⠤⡶⠾⢶⠾⢷⠶⠶⢷⠶⢶⠶⠶⠶⡶⠷⢶⠾⠶⠾⡷⠶⢶⠾⠾⠶⠶⢦⡷⠶⠶⠷⢶⠶⠾⠶⠶⠶⢶⣧⣶⣶⣾⣶⣾⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣷⣶⣶⣶⣾⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 281 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/10/29/Emilien_unixfox_Manages_to_Bring_yewtu_be_Big_Instance_of_Invid.shtml Gemini version at https://techrights.org/n/2024/10/29/Emilien_unixfox_Manages_to_Bring_yewtu_be_Big_Instance_of_Invid.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Emilien ("unixfox") Manages to Bring yewtu.be (Big Instance of Invidious) Back⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Oct 29, 2024, updated Oct 29, 2024 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Vintage_Halloween_card_or_invitation_template_with_pumpkin witch_on_broomstick_and_moon_cartoon⦈_ 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Emilien⦈_ Emilien ("unixfox"), apparently based in "Alpes, France - Wallonia, Belgium", has almost taken the sole lead in Invidious development (or fixes). We're grateful to "unixfox", who has been working more than anybody else this month on making Invidious work again (Invidious is being blocked by Google, so one must bypass restrictions). Latest Git commits: 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Merge_pull_request,_by_unixfox⦈_ Seeing that the Web is_going_down_the_drain (much of what's left is 'webapps', not Web pages) and Invidious_is_having_a_tough_time_surviving (it's not a 'webapp'), we're glad to see that yewtu.be, which is run by "unixfox", is gradually becoming more available and functional. It's not 100% functional or not functional 100% of the time. But it's a giant improvement. My wife is also very happy that yewtu.be is back online "proper". It has helped her a lot for years. As noted elsewhere_just_moments_ago, the future of the Web does not look bright, but workarounds exist and Invidious is one of them. Thanks to Invidious! And thank you, Emilien. Your hard work is being noticed and appreciated. █ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡟⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢻⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠿⣿⣿⣻⣿⣿⣿⣷⣤⣦⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣶⣤⡀⠀⠀⠀⠀⠀⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⣿⣷⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣀⣀⣤⣿⣿⣿⣽⣿⣽⣿⣿⣿⣿⣿⣿⣿⡏⠉⠛⠛⠛⠟⠛⠀⠀⠀⠀⠀⠀⢀⣠⣀⡀⠄⣸⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣟⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⢸⣿⣿⣿⣿⣿ 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⣿⣿⣿⣿⣿⣟⣿⣏⣽⣿⣿⣏⣿⣿⣟⣿⣏⣿⣿⣿⣉⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣯⣒⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⢿⡻⢿⣟⣿⠿⢿⣿⣿⣿⣿⣿⢿⢿⣿⣿⡿⢻⣿⣿⣻⣿⠿⣿⣿⢿⡻⢿⣿⣻⣿⠿⣿⣿⡿⡟⡿⠿⣿⡿⣿⡿⣻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣷⣾⣶⣿⣷⣾⣿⣿⣷⣿⣾⣿⣿⣿⣷⣾⣿⣷⣷⣿⣷⣷⣾⣿⣿⣿⣿⣾⣿⣿⣾⣷⣿⣿⣿⣿⣦⣿⣶⣿⣷⣷⣷⣿⣷⣾⣷⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡿⣻⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 464 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/10/29/Focusing_on_Getting_Stuff_Done.shtml Gemini version at https://techrights.org/n/2024/10/29/Focusing_on_Getting_Stuff_Done.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Focusing on Getting Stuff Done⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Oct 29, 2024 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Belle_epoque_vintage_art_victorian_women_antique illustration_public_domain_vintage⦈_ MANY people get flooded by notifications all day long. Social_control_media contributes a lot to this. It's designed to "addict" and to maximise "engagement" (or "screen time"). More_than_5_years_ago I had already figured out how to cope with it (hiding notifications is made intentionally hard due to "addictive" interfaces). In GNU/Linux, the desktop environments make it simple to occlude some parts of windows. Aside from spilling windows out of screen edges there are various options more advanced than stacking, e.g. always on top/bottom, shade etc. In KDE (Plasma), for instance, application- or windows-specific settings are extremely versatile. Another thing to be said about GNU/Linux is that reboots are seldom required unless your laptop/desktop is world-facing (accessible directly by IP address) and runs some badly broken stuff. How many people run Apache with some remotely exploitable hole on the desktop at home? Almost none. I did this at university, but that was almost 2 decades ago. And speaking of which, how many people run a public-facing server that's connected_to_a_physical_printer_and_takes_job_ (printing)_requests_from_any_random_address? There are people who reboot every day. Some reboot every week or so. I spoke to such people. They don't develop an evolved set of "activities" (kDE term) because they constantly start again from scratch. While it's true that some desktop environments can restore "sessions" upon reboot, there are severe limits to that. For instance, there's no trivial way to restore SSH sessions, even if the remote side has screen/tmux running. It's just not feasible to restore everything, it is infeasible to fully preserve a state. Speaking for myself, I very seldom reboot, except the machine that faces the outside world, regularly gets updated, and runs no "weird" software. My uptimes are as shown below. Main laptop: top - 01:37:16 up 385 days, 8:22, 43 users, load average: 0.24, 0.69, 0.80 Second laptop: top - 01:37:26 up 319 days, 17:49, 2 users, load average: 9.64, 8.42, 7.82 That's a combined uptime of 700+ days. My wife's laptop is approaching 300 days too (last reboot was probably last year or start of this year). The machine gets patched, but it still runs an old kernel. Since she's the sole user of that machine and it's not accessible from the outside, this is quite reasonable. GNU/Linux generally makes computer users more productive. It's a_force multiplier. █ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⠛⢛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣟⣛⣛⣻⣿⣿⣟⣛⣛⣻⣿⣿⣿⣿⣟⣿⣿⣿⣿⣟⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣧⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣻⣿⣿⣿⣿ ⣿⣿⢸⡿⠛⠉⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⠿⣿⣿⣿⡏⠈⠁⠀⠀⠿⠋⢿⣿⣿⠃⠀⠉⢻⣿⣿⣿⣿⣿⣿ ⣿⣿⢸⠁⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠃⠀⠀⠀⠀⠀⠙⠛⠁⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⠈⢹⠿⠛⡟⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢿⣿⣿⠀⣿⡟⠁⠀⠀⠀⠉⠋⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠇⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⡇⢸⣿⠏⣿⡏⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠀⠀⢀⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣎⢻⡏⠀⠈⠛⠀⠘⠁⠀⠙⣿⣿⣴⣶⣿⣤⣤⣴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠇⠀⢺⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⣠⣶⣶⣶⣶⣯⣿⣿⣿⡇⣿⠀⣿⡿⢻⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⠄⢾⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⢽⡍⠉⣸⣿⣏⣇⣿⣿⣿⣶⣿⣷⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡛⡧⢾⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢾⢸⣧⡟⢿⣿⡟⡏⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣼⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣿⣿⣿⠾⣿⣿⣿⣦⣤⣀⠀⠀⠀⠀⠀⣿⠘⠛⢲⣾⣿⣷⣷⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠠⢴⣶⣶⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡒⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿ ⣿⣿⣿⣶⣶⣿⣿⣿⣶⣷⣶⣾⣶⣽⠛⠿⢿⣿⣷⣾⣿⣿⣿⡿⢶⣶⣶⣿⣿⣷⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣀⣀⣠⣄⢠⠀⠁⢿⣿⣿⣿⣿⡄⣀⣀⣀⣀⣀⣤⣤⣤⣤⣼⣿⣄⣠⣤⣤⣤⣤⣤⣾⣾⣿⣿ ⣿⣿⣿⣿⣿⣿⡟⣿⡿⣿⣿⣿⣿⣷⠀⡀⠀⣠⣀⣠⣄⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢻⣿⣿⣿⣿⡟⣼⡄⠀⠀⠉⠛⠻⢋⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⣠⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣣⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⢿⣿⣿⣍⠂⣿⣒⣠⣀⡀⠀⣠⣿⣿⣿⣿⡿⢿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿ ⣿⣿⣿⠿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣤⣬⣬⣥⣼⣶⣟⠛⣿⣯⣭⣅⢲⣶⣷⣶⣶⣶⣦⣤⣤⣌⡁⠚⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣏⢿⣼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣧⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣛⣉⣨⣭⣍⢉⣉⣀⡹⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡏⣈⠙⠿⠿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣿⣿⣿⣿⣿⢏⣴⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣍⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡇⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⣻⣿⣿⣿⣞⣿⣿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿⣿⡟⢸⡟⢻⡇⢀⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⡈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠹⣿⣿⡟⢊⢿⡇⠀⠙⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣀⠋⣿⠀⠇⠸⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⡟⠡⠷⡤⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⣻⣿⣿⣎⢧⣤⣤⣄⣠⣈⣲⣿⣿⣿⣿⣿⣿⣿⣿⢋⡀⣿⡇⣿⠏⠀⠁⢀⣾⣿⣿⢻⣿⣿⣿⣿⡿⠀⠀⠀⠀⠘⣮⣙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠻⢁⡘⢿⣿⢿⡿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⢸⣧⣼⣷⠏⠀⠀⢀⡾⡿⣿⡏⣾⣿⣿⣿⢟⣽⣷⣦⡀⠁⠘⢉⣿⣷⡝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣂⠀⣠⣝⠺⢃⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣣⠘⣗⠀⢻⡿⠃⠀⠀⠀⢁⠄⠰⢿⢱⡿⣿⡿⢣⣾⣿⣿⠟⠁⠤⠀⠀⣸⣿⡟⣼⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢀⢸⣿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠸⣦⣽⣿⠞⣱⡀⠀⢀⠀⢠⠀⣀⣀⣼⣧⡀⠀⢹⡟⢉⢲⣿⣦⣤⣆⠴⣛⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⣿⣾⣿⢱⣿⣿⣿⣟⣿⣿⣿⣿⠟⣱⣷⣶⣼⣿⠟⣡⣾⣿⠇⠘⠋⣉⣈⡀⠉⣉⡉⣅⣠⣄⢉⢸⡏⡁⠿⢟⣫⣵⣾⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿ ⣿⡇⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⡟⢸⣿⣿⣿⣿⣿⣿⡿⠁⢾⣿⡿⠝⣋⣵⣿⣿⣿⡟⠰⠾⠟⠘⠛⠛⠻⠿⠇⢛⡩⠕⢫⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡇⣿⢷⣿⣿⣿⠿⠿⠟⠻⢿⣿⣿⣿⣿⣿⣿⡉⠙⢿⣿⣷⠟⠛⠉⠉⢱⣿⣿⡿⠌⠂⠁⠀⠚⢿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⢁⠀⢆⠠⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿ ⣿⡇⣭⠀⠈⠃⠈⠀⠀⣀⠀⠀⣾⣿⢫⣿⣿⣿⣿⣷⠸⣿⣿⣶⡄⢠⣤⣬⡉⠉⠀⠀⠁⢀⣀⣠⣴⣿⣿⣿⣿⠀⠐⢀⣀⣴⣿⣿⣿⣿⣧⣿⠀⠘⣆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿ ⣿⡇⣿⡀⠀⠀⠀⠀⠀⠀⠐⢡⣿⢧⣿⣿⣿⣿⣿⣿⣤⣿⣿⣿⣿⣿⣿⣿⣠⣤⠴⣶⣷⣾⣿⠿⢿⡿⠿⠿⠇⠰⠶⠿⠿⠿⠿⠿⠿⠿⠙⠧⠀⠀⠠⠀⢻⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣿⣿ ⣿⣿⣿⠀⠀⠀⢀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⡿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠃⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⢀⡎⢿⣿⣿⣿⣿⣿⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣿ ⣿⡇⡻⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⠻⣿⣿⣿⢿⣿⣣⣿⣿⣿⣿⣷⠐⠀⠉⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿ ⣿⡇⠇⠀⠀⠀⠀⠈⠀⣾⣿⣿⣿⣷⣬⡹⠿⠟⠻⠿⠿⠿⠿⣿⣿⡆⠀⠀⠀⠰⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣟⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿ ⣿⣿⠁⠀⠀⠀⠀⠀⣼⣿⣿⠟⠋⠉⠀⣀⣠⣤⣤⣤⣤⣤⣀⣀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠀⠉⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿ ⣿⣿⠀⠀⠀⠀⢀⣼⡿⠋⠀⢠⣴⠞⣋⡭⠽⠖⠒⠒⠒⠆⠉⠙⠛⠀⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⢂⡀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡄⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿ ⣿⣿⠀⠀⠀⢀⡾⠋⢀⣴⡿⡀⠘⣋⣵⣶⣾⠿⠿⣿⠿⢿⣷⡆⠀⠀⠙⢿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠒⠀⢀⡤⠠⠴⠶⠶⠀⢶⣶⠀⣒⠀⠀⠀⠀⣲⣿⣿⠀⠀⠀⠀⢀⠀⢠⡈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿ ⣿⣿⠀⠀⢠⡞⠁⣰⣿⡯⢊⣴⣿⣉⣞⢽⣶⣾⣿⣿⣷⣶⡌⠀⠠⡘⠳⠌⢿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠈⠀⠀⠀⠒⠂⢨⠀⠛⠃⠁⠀⢾⣿⣿⡏⠀⠀⠀⠀⣿⣧⠀⢻⣷⡈⠻⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿ ⣿⣿⠀⣰⡟⠀⢰⠟⡟⢠⣿⣿⣿⣿⣮⢿⣻⣿⣿⣿⣿⡟⠀⢠⣴⣮⡳⣶⣦⠻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠘⣿⣧⠀⢹⣿⣦⠘⢿⣿⣿⣿⣿⣿⡇⣿⣿ ⣿⣿⠘⢿⠁⠀⠻⣸⢡⣿⣿⣿⣿⣿⣿⣷⣿⡝⣿⣿⠏⠀⢠⣿⣿⣿⣷⡜⣿⣆⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠐⠀⠀⠀⠈⠀⢸⣿⣿⡇⠀⢠⠀⠀⠀⠸⣷⡠⠀⠡⣿⣷⠈⢿⣿⣿⣿⣿⡇⣿⣿ ⣿⣿⠀⠀⠈⠀⠀⡏⢼⣿⣿⣿⣿⣿⣿⣿⣿⡟⢨⡍⠀⠀⠛⡟⠿⠿⠿⠿⠙⠉⠈⡧⠄⠀⠀⠀⠀⠀⠀⡐⠂⠄⠀⠀⠀⠀⠌⠣⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⢸⡀⠀⠠⡀⠈⢧⠇⣄⠙⣹⣧⠀⢻⣿⣿⣿⡇⣿⣿ ⣿⣿⣤⠀⠀⠀⠀⡇⠀⢈⠀⠉⠉⠉⠉⠉⠉⢰⡀⠆⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⡶⠄⠀⠀⠈⠀⠀⠃⢻⣶⠲⣶⣶⣆⠀⣴⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠀⡇⠀⠀⢿⣦⠀⠀⢡⠜⢩⣿⣧⠈⢿⣿⣿⡇⣿⣿ ⣿⣿⣿⣇⣀⠀⠀⣇⠀⣨⣄⠀⠀⠀⢰⣶⣶⣦⣍⡋⠀⠀⢻⢷⡶⠶⣶⢶⣆⣠⢀⡀⠀⠀⠈⠀⠁⣠⠖⢈⣥⠀⣿⠸⣧⣌⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣧⠀⠈⠀⠀⠈⣿⣁⠑⢢⡖⣦⣾⣿⣇⠈⣿⣿⡇⣿⣿ ⣿⣿⢻⠛⠻⡄⢰⣿⡄⢩⡿⣿⠆⠀⠈⠙⠛⠻⠿⢿⣷⣤⠀⠈⠺⢯⣿⡛⢻⠏⠸⠀⠀⠀⠀⠂⡘⠁⠀⠚⠛⣰⣿⣧⣽⣷⡶⠀⠀⠀⠀⠀⠀⠀⢠⣯⣷⢽⣇⠀⠀⠀⠀⠈⠾⣿⢿⣹⣷⣾⣿⣿⠀⢹⣿⣿⣿⣿ ⣿⣿⣾⠀⠀⠀⠀⠻⣿⡄⢠⣝⣿⡂⠀⠀⠀⠀⠀⠠⣤⣀⠀⠀⠀⢈⠟⠹⠏⣴⡀⠀⠀⠀⢀⠐⠁⠀⠀⠀⠺⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⢠⣿⢿⡷⣶⣿⣆⠀⠀⡀⠀⠀⠀⠈⢻⣿⣻⣿⣿⡇⠀⠘⣿⣿⣿ ⣿⣿⣿⠀⠀⠀⠀⠀⠙⢿⣦⡉⠉⣿⣷⣶⣦⣤⣰⣤⣄⣹⣿⠷⠒⡁⠀⣠⣾⡟⠁⣴⣮⣿⣽⣠⠀⠀⠀⠀⠀⠈⠉⠉⢩⣴⣧⣄⣀⣠⠀⠀⠀⣿⠇⠀⠀⠻⣿⣿⣆⠀⠈⠀⠀⠀⠀⠀⠉⠻⣿⣿⡇⠀⠀⠟⣿⣿ ⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠙⠻⣶⣬⣙⠻⠿⢿⣿⣿⣿⡶⠾⠛⣉⣴⣾⠟⠃⡠⢾⠏⠉⠻⠍⠀⠐⠛⢠⣶⣶⣤⡀⠀⠀⠈⠉⠻⣿⣿⠀⢰⣦⣴⣀⣤⣀⠀⠈⠙⠻⣦⢀⣀⠀⠀⠀⠀⠀⠀⠈⢿⡇⠀⠀⠃⣿⣿ ⣿⣿⣿⣿⣿⣦⣀⣠⣤⣀⠀⠀⠈⠙⠿⢿⣶⣶⣶⣶⣶⣶⠾⠿⠛⠉⣀⣴⣾⣶⣤⣀⠀⢀⣤⣀⣤⣤⣤⣴⣾⣶⣶⣶⣶⣄⠙⠶⣄⡈⠈⠙⠛⠛⠻⣿⣷⣶⣶⣤⡀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠠⠰⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣦⣴⣶⣤⣤⣤⣄⣀⣀⣀⣤⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣽⣿⣶⣤⣤⣤⣤⣤⣼⣿⣿⣿⣥⣦⣀⣤⣄⣀⣀⣀⡀⠀⠀⠀⠀⠠⣠⡇⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢉⠍⠉⡙⢻⢉⣭⣍⠹⠋⡉⠟⠉⠙⡿⢋⣭⣉⠻⡏⣉⣩⣉⢻⡟⢋⣩⡉⢻⠏⣉⣭⣭⣭⣍⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣾⣷⣇⣿⣿ ⣿⣿⢿⠟⠛⡛⢻⡟⢻⠟⠛⣿⠛⣿⡟⠛⠛⡿⠛⠛⣿⠀⣀⣃⡷⢀⢸⣇⠐⢾⠀⠃⡆⢨⢀⠃⠚⣉⠙⢀⡇⢙⠩⠤⣴⠀⠟⣛⢻⡄⣦⣌⠛⣿⢛⣉⣄⢻⠛⠛⢻⢻⠛⠛⠛⠛⠛⠛⠟⢛⠛⢛⠛⠛⠟⣿⣿⣿ ⣿⣿⢸⠀⠿⢿⡄⢠⣏⠸⠿⢿⠀⠿⡇⠈⢽⡧⣌⠉⢿⠀⣿⢋⣤⣾⢸⡏⢠⣾⠀⣧⣠⣴⢸⠀⡀⠿⠋⠉⠃⢸⠋⠤⣿⢸⡀⠿⢀⡇⢸⣿⢀⣿⠘⣿⣿⠀⢸⠀⠘⠸⠀⠅⠀⠘⢸⠀⠀⠉⠀⢸⠀⠥⢰⡇⣿⣿ ⣿⣿⣿⣷⣤⣾⣷⣼⣿⣦⣴⣿⣦⣴⣷⣤⣴⣷⣤⣴⣿⠀⡏⢸⣿⣿⢸⣿⣦⠘⠀⣿⣿⡿⢸⡆⢻⣶⣿⠀⡇⢼⣷⣦⠈⡀⢿⣶⡿⠃⣿⡏⢸⣿⠄⣿⣿⣧⣶⣼⣶⣶⡖⢲⠖⠶⠾⡖⢳⠒⣾⣾⣶⣾⣾⡇⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣾⣿⣿⣤⣍⣡⣼⣷⣬⣉⣡⣾⣿⣦⣤⣄⣤⣷⣤⣉⣡⣴⣷⣤⣍⣤⣾⣿⣿⣤⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣟⡟⣿⢻⣿⣟⡟⣿⣻⢻⡟⣥⣿⢻⣿⡟⣿⣿⢛⠟⣿⢛⣿⢟⡻⣿⢛⠟⣿⣛⣿⣿⡟⠟⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣤⣰⣿⠰⣿⣧⣴⣿⣤⣺⣇⠶⣿⠧⢹⡇⢾⣇⣿⣆⣿⣸⣿⣨⣥⣿⣸⣆⣿⣿⣿⣿⣿⣾⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 598 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/10/29/IRC_Proceedings_Monday_October_28_2024.shtml Gemini version at https://techrights.org/n/2024/10/29/IRC_Proceedings_Monday_October_28_2024.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ IRC Proceedings: Monday, October 28, 2024⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Oct 29, 2024 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Hood_without_face_isolated_on_the_black_background⦈_ 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇GN 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇GNOME_Gedit⦈_ #techrights_log #boycottnovell_log 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇GN 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇GNOME_Gedit⦈_ #boycottnovell-social_log #techbytes_log =============================================================================== The corresponding text-only bulletins for_Tux_Machines and for_Techrights contain all the text. Enter_the_IRC_channels_now ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣸⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⡿⠟⠉⢹⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⡃⣿⣿⣿⠟⠁⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⣾⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⠉⠻⠇⠘⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣄⠀⠀⠀⠘⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣷⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣷⡴⣶⣤⡹⣿⣿⣿⣿⠤⠄⠀⠀⠀⠴⠾⠿⣿⠟⣋⣽⢻⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣷⡙⣿⣿⣿⣿⣿⣉⣤⣔⣸⣷⣶⣶⣶⣶⠀⣸⠁⢸⠀⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢀⣿⣇⣸⡇⠙⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣺⣿⣿⣿⠁⠀⢹⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣾⣿⣿⣿⣿⠀⠀⣸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⢰⣿⣿⣿⣿⠿⣿⣽⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣠⣶⡌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⢰⣿⣿⣿⣿⣷⠆⢸⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣟⡝⠃⠀⠉⠉⠉⠛⠿⣿⣿⣿⣿⣷⣥⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⣾⣿⣿⢽⣿⣿⠆⠈⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⢠⡆⢀⣈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢂⣼⠟⠽⣿⢈⣿⡟⠀⠀⠀⠻⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ䷩ 𝚕𝚒𝚗𝚎 824 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/10/29/Linus_Torvalds_is_Basically_Explaining_That_OSI_Sponsored_by_Mi.shtml Gemini version at https://techrights.org/n/2024/10/29/Linus_Torvalds_is_Basically_Explaining_That_OSI_Sponsored_by_Mi.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Linus Torvalds is Basically Explaining That OSI, Sponsored by Microsoft to Lobby for Microsoft, is Openwashing a Marketing Scam⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Oct 29, 2024 There's a whole_lot of garbage today [1-4] about what Richard Stallman (GNU founder) calls_"bullshit_generators" and Linus_Torvalds_(Linux_founder)_is repeatedly_blasting, even this month: 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇AI_Industry_Right_Now_Is_10%_Reality_And_90%_Marketing: Linux_Creator_Linux_Torvalds⦈_ 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Linux_lead_dev_says_we're_only_getting_10%_reality_of_the oversold_AI_hype_|_Windows_Central⦈_ 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇90%_marketing⦈_ More here (page updated over time). Shame on OSI for helping Microsoft. It took Microsoft money to lobby for Microsoft. OSI sold out and now works against software freedom, even for_GPL violations. █ ______ Related/contextual items from the news: 1. ⚓ Open-source_AI_must_reveal_its_training_data,_per_new_OSI_definition⠀⇛ The Open Source Initiative (OSI) has released its official definition of “open” artificial intelligence, setting the stage for a clash with tech giants like Meta — whose models don’t fit the rules. OSI has long set the industry standard for what constitutes open-source software, but AI systems include elements that aren’t covered by conventional licenses, like model training data. Now, for an AI system to be considered truly open source, it must provide: [...] 2. ⚓ The_Open_Source_Initiative_Announces_the_Release_of_the_Industry’s First_Open_Source_Hey_Hi_(AI)_Definition⠀⇛ Open and public co-design process culminates in a stable version of Open Source Hey Hi (AI) Definition, ensures freedoms to use, study, share and modify Hey Hi (AI) systems. 3. ⚓ Open_Source_Initiative_announces_Open_Source_Hey_Hi_(AI)_Definition 1.0⠀⇛ The Open_Source_Initiative (OSI) has announced the release of version_1.0 of the Open Source Hey Hi (AI) Definition: The OSAID offers a standard by which community-led, open and public evaluations will be conducted to validate whether or not an Hey Hi (AI) system can be deemed Open Source AI. This first stable version of the OSAID is the result of multiple years of research and collaboration, an international roadshow of workshops, and a year-long co-design process led by the Open Source Initiative (OSI). LWN covered the OSAID process, and final release candidate, on October 25. 4. ⚓ OSI’s_Open_Source_Hey_Hi_(AI)_Definition_1.0_Unveiled_at_All_Things Open⠀⇛ Today at All Things Open, Open Source Initiative announced the release of the Open Source Hey Hi (AI) Definition, possibly paving the way for open source Hey Hi (AI) licensing. ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠏⢹⢹⣿⢹⠛⠻⠋⠙⠛⠻⡛⠋⡛⠛⢻⢻⡏⡍⠃⡟⠛⡏⠛⡋⣻⡏⠋⠹⠛⡛⠛⠛⣿⠹⠛⣿⡋⢹⢩⢹⠉⠋⣿⣿⠉⡍⠟⠻⠛⠏⠁⠘⢙⢻⢻⡿⠙⡟⠛⡟⠉⣿⢉⠙⠋⠙⢩⠉⣽⣿⣿⣿⣿⣿⣿⣿ ⣿⢐⠸⢸⣿⢸⢸⢀⠀⢀⠀⠐⠌⡀⠇⣿⡀⣼⡇⠀⠇⡇⠇⡇⡇⡇⢿⡇⡄⢀⠃⡇⢀⢸⣿⢘⠈⣿⡇⠸⠸⢸⡶⢀⠆⣿⠀⡐⡀⢒⠁⠀⠀⢀⠸⡀⣼⡇⡃⠇⡇⡇⠀⣿⠲⢀⡀⢀⣶⢠⠀⣹⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣿⣿⣿⣿⣷⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠉⠏⠹⠛⡟⡛⠸⠻⠛⠏⡓⠘⠛⠻⠛⠛⣿⡏⡗⠘⠛⠛⠛⠛⠟⣿⠉⣙⠛⠛⠛⢛⢛⢙⠛⢻⠛⢻⡏⡗⠘⠛⠛⠛⡛⠟⣿⡍⡝⡛⡟⠛⠛⠛⠛⠀⠟⠀⢛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⢰⣰⢈⠀⡇⣿⢠⠁⠐⣂⠃⠀⠀⢀⠀⠘⣿⡇⠇⠀⠀⢀⠀⠈⡌⣿⡀⢉⢸⡇⢒⠡⢸⠘⡘⢸⢸⣿⡇⠇⠀⠀⢀⠀⠏⡌⣿⡇⣇⢃⡇⣿⠀⡏⠂⠀⡀⠀⠂⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣪⣯⣿⣶⣶⣿⣥⣼⣿⣽⣗⣇⣿⣷⣭⣿⣿⣏⣹⣿⣥⣦⣦⣽⣷⣷⣦⣿⣽⣼⣶⣿⣯⣷⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠠⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣭⣭⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣜⣙⣟⣫⣿⣝⣟⣅⣹⣿⣝⣘⣽⣹⣟⣽⣻⣫⣙⣩⣏⣿⣋⣿⡋⣻⣹⣽⣟⣇⣩⢏⣿⣱⣟⣝⣉⣽⣿⣨⣫⣿⣯⣿⣽⣻⣿⣅⣫⣩⣫⣘⣿⣟⣩⣽⣿⣏⣹⣻⣸⣽⣿⣻⣿⣿⣋⣉⣿⣛⣽⣟⣙⣽⣿⣿⣿ ⣿⠿⠿⢿⣿⣿⠿⣿⡿⣿⣿⢟⣿⡿⢿⣿⠿⣿⡿⢿⣿⡿⣿⢿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣴⣾⣾⣿⣷⣾⣿⣶⣿⣿⣾⣿⣶⣿⣿⣶⣿⣷⣾⣿⣾⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⡛⣻⠛⠿⠿⠿⠿⡿⢿⣟⡛⡛⠿⡿⠿⢿⠿⠿⡟⡿⠟⡿⠿⣿⠿⢿⠿⠿⡿⡿⡟⡿⠟⡿⠿⡟⠟⢿⡟⢿⠿⠿⠿⢿⠿⡟⠿⣿⣿⠛⣟⢛⡿⢿⠿⠟⡟⢟⠻⢿⣿⠿⣿⣿⠛⡟⡛⣿⡿⢛⠿⢿⠿⡟⢻⣿⠀ ⣿⣧⣯⣧⣧⣧⣧⣧⣷⣼⣿⣧⣧⣤⣤⣼⣦⣦⣦⣧⣧⣧⣧⣤⣿⣦⣤⣧⣧⣧⣧⣧⣧⣧⣧⣧⣿⣧⣽⣧⣥⣼⣼⣬⣤⣼⣧⣧⣿⣧⣦⣽⣼⣿⣤⣤⣧⣧⣭⣼⣼⣯⣤⣿⣿⣤⣧⣧⣶⣦⣼⣼⣤⣤⣤⣬⣿⠀ ⣿⡟⡛⠛⠛⠀⠻⢻⣿⢘⠛⠛⠛⣛⡿⠛⠛⠛⡛⠛⠛⢻⡇⠋⢹⣙⠻⣿⣏⠏⡏⡏⣉⠉⡻⣿⢛⢻⢻⠟⡟⢛⠀⢻⠻⢻⢹⠀⡟⡛⠛⠛⣿⠻⢻⢛⢻⢛⢸⣿⡍⣿⢹⢙⡉⢙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⣥⣶⣷⣾⣶⠶⡾⡿⣶⣾⣶⣶⡶⢷⠶⣷⠶⡶⣾⡶⣿⣷⡶⢶⣷⣶⠿⡷⠶⣷⢶⣷⣷⣾⣿⣶⣶⣶⡶⠶⢾⣶⣶⡶⣾⣶⡶⣶⣶⣧⣤⣿⣶⣶⡶⣶⢶⣶⣿⣶⣾⣶⣾⣷⣷⣾⣿⡿⣿⣿⣿⡿⣿⣿⣿⣿⠀ ⣿⣆⣆⣠⣇⣄⣇⣇⣇⣶⢀⣆⣿⣷⣾⣸⣿⣀⣃⣆⣇⣇⣀⣇⣀⣺⣏⣄⣻⣸⣿⣸⣠⣸⣇⣰⣀⣘⣀⣁⣸⣰⢀⣾⣇⣇⣆⣇⣊⣠⣁⣰⣠⣸⣄⣆⣶⣰⣰⣨⣐⠸⢻⣏⣀⣇⣀⣁⣂⣿⣇⣄⣇⣺⣿⣿⣿⠀ ⣿⡟⡏⠿⡿⡿⣿⠿⣿⡷⢾⠿⠿⠿⠿⣿⡟⣿⢹⠿⠿⠿⠿⢿⣿⡟⢻⣯⠹⢿⡿⢿⢻⢿⢿⣿⢻⠉⠿⢿⢿⣧⠸⢿⢿⡿⠿⠿⡿⣿⠿⡿⢿⠿⡿⡍⡿⠿⣿⢿⠶⠿⢿⡿⠿⠿⡿⡿⡿⡿⡍⠿⣿⣿⣿⣿⣿⠀ ⣿⣧⣥⣥⣥⣤⣿⣧⣴⣬⣬⣬⣤⣴⣤⣾⣧⣭⣬⣬⣬⣤⣤⣎⣿⣧⣼⣿⣬⣬⣬⣼⣬⣤⣼⣿⣬⣤⣤⣤⣼⣯⣬⣼⣠⣇⣡⣦⣤⣿⣦⣽⣢⣧⣭⣥⣦⣤⣿⣤⣴⣤⣾⣧⣥⣥⣥⣥⣥⣭⣥⣥⣿⣿⣿⣿⣿⠀ ⣿⡅⠅⡍⡏⡉⡅⢽⣷⢸⣿⢩⡍⡉⠉⢹⠀⠀⡉⢩⡟⠡⠘⠩⠉⠉⢡⡇⣽⣯⠙⠉⠉⢹⠉⢹⠀⢿⡇⠍⡍⣿⡏⡍⡏⡍⣿⡅⠅⡍⡏⠉⡍⣭⢉⢡⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⠽⣼⣴⠴⢦⣼⣿⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⣿⣄⣼⣃⣁⣒⣐⣒⣘⣘⣀⣀⣒⣀⣐⣈⣐⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⢙⣟⣁⣋⣛⣉⣈⣉⣙⣻⣚⣊⣿⣈⣙⣟⣉⣏⣹⣉⠉⣟⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⣶⣿⣏⣸⣾⢸⣻⣝⣻⣋⣿⣈⣉⣹⣠⣇⣿⣏⣉⣻⣹⣇⣒⣏⣩⣍⣉⣸⣾⣉⣉⣁⣿⣁⣩⣝⣽⣁⣉⢉⣹⣯⣿⣸⣸⣽⣋⣉⣷⣀⣉⣩⣻⣋⣈⣈⣿⣯⣙⡏⣍⣹⣀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⡫⡫⡯⠉⠩⠫⠉⠍⢉⠍⠉⠹⣿⠙⠉⠫⢿⠉⠭⠏⣉⣯⢹⢏⣍⢻⡯⠉⣯⠍⠝⢙⡏⢩⢩⢝⠉⡏⠉⠉⡫⢿⠉⢹⢭⠉⠉⠯⠉⡍⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⢿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⠿⢿⣿⣿⣿⣿⡿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⢿⡿⣿⣿⡿⡿⣿⣿⡿⣻⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⣿⢿⢿⣿⣿⡿⣿⡿⣿⠿⡿⣿⣿⣿⣿⣿⣿⣿ ⣿⣘⣃⣇⣇⣇⣃⣣⣸⣗⣁⣿⣘⣻⣰⣌⣸⣀⣀⣣⣂⣇⣿⣇⣻⣀⣆⣇⣃⣇⣸⣿⣸⣇⣪⣰⣇⣱⣈⣸⣀⣃⣇⣸⣇⣒⣥⣁⣇⣸⣈⣴⣡⣅⣸⣊⣸⣇⣅⣇⣿⣨⣸⡠⠂⣇⣇⣇⣿⣰⣁⣕⣸⣀⣀⣿⣿⣿ ⣿⢻⠿⣿⡟⢻⢛⢿⢛⢿⣻⢟⣿⡟⠿⢻⠿⡿⢿⢻⢿⢿⠿⡟⢿⢿⠿⢿⠛⣿⡿⣛⡿⢿⢿⢿⠻⡿⡿⠿⣿⡛⣻⠻⣿⠿⡟⢿⢻⡟⡿⢿⡿⣛⢿⠻⣿⠿⡿⢿⡿⢿⠿⡿⢿⣟⡛⣻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣼⣼⣽⣿⣿⣤⣴⣽⣼⣯⣷⣽⣧⣤⣼⣵⣤⣿⣤⣧⣧⣧⣧⣼⣼⡼⣸⣿⢻⣯⣦⣯⣦⠎⣼⣤⣧⣧⢇⣿⣧⣿⣼⣬⣧⣧⣿⣴⣦⣧⣾⣷⣽⣽⣼⣤⣧⣧⣧⣴⣵⣴⣧⣮⣿⣧⣧⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⢛⣛⡿⢿⠿⠿⠿⠿⡟⡿⢿⢻⢿⢿⠻⡿⣿⢻⠿⠿⠿⡿⡿⡿⡿⡿⣿⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣮⣵⣮⣼⣼⣼⣄⣥⣧⣧⣼⣬⣦⣼⣼⣠⣿⣼⣈⣠⣧⣧⣥⣧⣧⣴⣿⣴⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣽⣏⣽⣻⣯⣿⣿⣟⣿⣽⣽⣿⣿⣿⣿⣯⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⠛⠋⠉⠉⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠉⠉⠉⠉⠛⠻⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⢈⣟⣋⣊⠉⠛⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣷⣜⣇⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣿⡿⣛⠉⠻⣿⠋⠉⠹⢿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣽⣭⣤⣤⣰⣶⡤⣲⣬⣷⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡟⠛⢛⣳⣿⣿⣿⣧⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣿⣿⠻⠟⠓⠛⠛⣹⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣉⣭⣿⣷⣿⣿⠿⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⣿⡉⠛⠛⠛⠉⠁⠈⠀⠀⠈⠇⢻⠀⠢⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠜⠀⠹⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠈⠑⣛⠵⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⠏⢈⠜⠀⠀⠀⠈⠛⠦⠴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⡇⠀⣸⠃⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠁⠀⠀⠋⠀⠠⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢠⡄⠀⠀⠀⠀⠀⠀⡸⠁⠀⠀⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣾⡇⣼⢃⠁⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠼⠶⠯⣼⢛⣿⡀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠂⠀⢸⡁⣺⡿⠛⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠤⠀⠀⣇⣀⠀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡌⠘⠟⠉⠀⠭⠊⠁⠒⠉⠀⠤⠤⣤⡖⠂⣀⡀⠀⠀⠀⠠⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠙⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⣄⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣟⣻⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⢻⣿⣿⠿⣿⢿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⡿⣿⢻⣿⡿⣿⣿⣿⢿⣿⣿⣿⡿⠿⠿⠿⣿⣿⢿⢟⡿⢿⣿⠟⡟⢻⣿⣿⢿⣿⢿⠿⢿⡿⣿⣛⡻⣿⣻⣿⣿⣿⣿⢻⠿⡻⡿⡿⣻⣿⣿⣿⣿⣿⣿⣿⣿⡻⠿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣤⣬⣴⣿⣿⣽⣿⣤⣤⣴⣵⣥⣼⣽⣿⣯⣿⣿⣿⣮⣧⣤⣴⣶⣦⣤⣬⣬⣿⣿⣿⣿⣧⣷⣿⣵⣽⣧⣧⣤⣯⣬⣴⣾⣬⣿⣮⣮⣴⣤⣤⣥⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 1001 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/10/29/Linux_Fork_or_Community_Fork_of_Linux_in_Russia.shtml Gemini version at https://techrights.org/n/2024/10/29/Linux_Fork_or_Community_Fork_of_Linux_in_Russia.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Linux Fork or Community Fork of Linux in Russia⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Oct 29, 2024, updated Oct 29, 2024 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇An_attendee_at_the_Linux_Foundation_Europe_Member_Summit_in September_2024_in_Vienna._Image:_Linux_Foundation_/_Elena_Azzalini_/_CC_BY-NC 2.0⦈_ Free software, by its very nature (the licence is what gives it freedom; not a community but at least some rights), makes a sort of "insurance package" for volunteers, copyright assignment traps notwithstanding. So the news [1,2] below hardly seems surprising, except perhaps to those who don't understand the GPL. █ Related/contextual items from the news: 1. ⚓ The Record ☛ Russia_says_it_might_build_its_own_Linux_community_after removal_of_several_kernel_maintainers⠀⇛ Russia has called Linux’s recent delisting of several Russian kernel maintainers “an act of discrimination” and pledged to establish an independent development community for the open- source operating system. “We will strengthen cooperation and establish a dialogue with those countries that are ready to work with us,” Russia’s digital ministry said in a comment to local media, adding that they plan to build their own “alternative structure." “It is important to create conditions for cooperation, which can help develop a unique product,” the ministry’s representative added. It is unclear whether the creation of an alternative Linux community has been discussed with other countries and whether it is even possible. Leaders within the Linux project have not publicly commented on the Russian statement. 2. ⚓ Bryan Lunduke ☛ Will_Russia_Hard_Fork_Linux?⠀⇛ Russia's Ministry of Digital Development proposes hard Linux kernel fork after Russian Devs banned. ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⠃⣻⠀⠙⣋⣾⣿⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠘⣿⣿⠟⠋⣿⣿⢃⣾⣿⣿⣿⣿⡿⢛⣿⣿⣿⣿⣾⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⣦⢠⠁⠀⣿⠀⠈⢭⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢀⡿⢿⣦⣴⣿⠏⣸⣿⣿⣿⣿⠋⢠⣿⣿⣿⣿⣿⣿⡿⡆⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡎⢿⣾⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⡿⢺⡄⢰⡿⠀⠀⣼⣿⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⣼⣿⣈⣿⣿⡏⢀⣿⡿⠛⠁⠁⢠⣿⡿⠉⠐⢿⣿⣿⡇⡇⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣼⣿⣿⣿⣿⣿⣷⣶⣶⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣅⣸⡇⢸⡇⠀⢰⣿⡟⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢠⣿⣿⣿⣿⡟⠀⢸⠟⠀⠀⠀⢠⣿⠏⠀⠀⢸⣿⣮⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⢿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡱⠀⠀⠀⠀⣿⣿⠁⢸⡇⠀⢻⣿⡇⣾⣿⣿⣿⡿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⡿⠀⢺⣿⣿⣿⣿⠃⠀⠏⠀⠀⠀⢀⣾⠋⠀⠀⢀⣤⢻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣾⣿⣏⠀⠀⠀⠀⠀⢻⣿⡄⠚⠁⠀⠿⣿⢠⣿⣿⣿⣿⢁⡀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡏⢠⣿⣿⡇⣿⡏⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⢸⠛⠂⢿⢽⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣴⣶⡾⣿⡟⠀⠠⠀⠀⢹⡿⢸⣿⣿⣿⣿⡾⢿⢠⣿⣿⣿⣿⣿⣿⣿⣿⠁⣾⣿⡿⢐⣿⠁⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀⢀⡆⢀⣶⣼⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠈⡏⠀⢀⣿⠇⢀⡀⠀⠀⣿⡇⣾⣿⣿⣿⠋⣹⣾⣿⣧⡏⢿⣿⣿⣿⣿⣿⠨⠋⠁⠀⢘⡇⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⢠⣶⣾⠋⠀⣾⣧⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡏⣴⠇⠀⠀⠀⠀⢸⡏⠀⠸⡇⠀⠀⣿⡇⣿⣿⣿⣿⠀⢹⣿⣿⣿⡇⣾⣿⣿⣿⡿⡇⠀⠀⠀⠀⠞⠁⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠙⠩⣝⡄⢀⣿⠟⡇⡇⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣶⣌⠻⢿⣿⣏⠈⢋⣭⡿⠀⠀⠀⠀⢀⣿⡗⣦⠀⠁⠄⠀⢿⢰⣿⣿⣿⣿⠆⣿⣿⣿⣿⡇⠿⣿⣿⣿⠇⠁⠀⠀⠀⢠⣿⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡝⠣⣈⣿⠀⠁⢻⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠻⣿⠀⢚⣽⠏⠀⠀⠀⠀⣸⣿⡀⠹⣷⡄⠀⠀⢸⢸⡟⢻⣿⣿⣾⣿⣿⣿⣿⣷⠀⣿⣿⣿⠇⠀⠀⠀⠀⠸⡏⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⢸⠿⠋⠀⠀⠘⠟⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠘⡾⣿⣷⠂⠀⠀⠀⢰⣿⣿⢷⡀⠐⠇⠀⠀⢸⣼⠁⢰⣿⣿⣿⣿⣿⣿⣿⣿⡆⣿⣿⣿⠀⠀⠀⠀⠀⢰⡆⠀⠀⣠⡞⠀⠃⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠈⠀⠀⠀⠗⢢⠀⠀⠀⠀⠀ ⣿⣿⣿⣝⡿⣿⣿⣿⣿⡿⠟⠀⠲⣿⠇⠀⠀⠀⠀⣆⠙⠻⠷⠀⠀⠀⠀⠀⠀⡇⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⢻⠀⠀⠀⠀⠀⢀⠀⠀⠘⠛⠁⠀⠀⠀⠀⠀⠀⠀⣴⣿⠁⠀⠀⠀⠀⣤⣤⢈⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡙⠛⠉⠃⠀⠀⠀⠋⠀⠀⠀⠀⠀⣿⣷⣤⣄⣤⣤⣀⠀⠀⠀⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡄⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣰⣿⡟⠀⠀⠀⠀⣞⢂⣀⣼⠀⠀⠀⠀⠀⠀ ⣿⣿⣯⡉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⠝⠛⣉⣉⠉⠁⠈⠀⠀⠀⣿⣿⣿⣿⣿⢿⣿⣿⣿⡿⢿⣿⣿⣯⣀⡀⠀⠀⠀⠀⢸⠀⠀⠾⠟⢢⣤⣤⣤⣴⣾⣿⣿⣿⠇⠀⠀⠀⠀⣹⡿⠛⠉⠀⠀⠀⠀⠀⠠ ⠂⠈⠙⠛⠓⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠈⣹⠷⠦⠤⠀⠉⠒⠂⠠⠀⠀⣿⣿⣿⣿⣿⣼⣿⣿⣿⣧⣼⣿⣿⣿⣿⡧⠀⠀⠀⠀⣸⠀⠀⠀⠸⠿⢿⣿⣿⠿⠛⢿⣿⣿⠀⠀⠀⠀⠀⠁⠀⠀⠀⡀⣴⣤⣤⣤⡵ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡤⠶⠖⣛⣓⣒⣻⡽⠷⠒⠂⠤⠀⠀⢸⣿⣿⣿⣟⡻⠝⠿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣷⠀⠀⠀⡏⢠⣴⣶⣤⣴⠞⠁⠉⣠⣴⣾⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⠶⠊⠉⠀⠀⣠⣾⢿⣷⣶⣦⣤⣄⣈⡀⠀⠀⠀⢸⡟⣿⣿⣿⠀⣤⣤⣤⣀⣀⣿⡏⣻⣾⣿⠿⠋⠀⠀⢸⡇⠈⠙⠛⠉⠥⣤⣴⣾⣿⠻⠟⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠉⠙⠛⠛ ⠀⠀⠀⠀⠀⠀⠀⠾⠿⠁⠀⠀⠀⠀⠀⠙⠁⢸⣿⣿⣿⣿⣿⣿⡙⠳⣶⠀⢸⠻⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣈⣅⣙⠀⠀⠀⠾⠀⠀⢀⢀⣀⠀⠈⠉⠁⠀⠀⠀⢈⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀⠸⢾⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⠚⠛⠋⠀⠀⠈⣩⢴⣟⡛⣿⣿⣟⠲⢤⣤⣤⣴⡾⠏⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣶⣾⣿⣿⣿⠟⠁⠀⠀⠀⢸⣷⣤⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢤⣤⣤⣾⠹⣦⡀⠉⠉⠙⠻⠷⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡿⠋⠙⢦⡀⡀⠀⠀⠀⣀⣀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠰⠾⢿⣿⣿⣿⣷⣌⢻⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⠀⠀⠀⠀⠀⠀⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣬⣿⣿⣿⣿⡶⢤⣀⠈⠁⠀⠀⠀⢤⣉⡛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣾⡿⠿⠿⣿⣿⣿⣦⡉⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀⢀⣠⣴⣶⣿⡇ ䷩ 𝚕𝚒𝚗𝚎 1089 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/10/29/Meme_Change_the_Name_Change_History.shtml Gemini version at https://techrights.org/n/2024/10/29/Meme_Change_the_Name_Change_History.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ [Meme] Change the Name, Change History⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Oct 29, 2024 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇I_thought_Active_Directory_was_constantly_breached._Oh,_it's called_Entra_ID_now?⦈_ Context: Rebranding_Products/Services/Vapourware_as_a_Sign_of_Failure ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⢃⠶⡭⣙⢿⣿⡻⢻⢿⣿⣿⢀⣀⣀⣀⣠⣶⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠈⠀⠈⠈⢱⠙⡎⠪⠑⠝⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠛⠿⢿⣿⣿⣿⣛⡿⣿⣿⣿⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⢀⣴⣶⣷⣶⣤⣤⣀⠀⠀⠀⠀⢀⠀⣸⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣭⠁⢶⣶⢶⣦⣿⢸⡟⣷⢻⣿⣿⣿⣟⣃⣿⣾⣇⢹⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠏⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣇⡀⠀⠀⣽⣺⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡏⣿⠀⠸⣿⠸⣿⣿⣾⣧⣿⢸⣿⣿⡹⣿⢿⣿⣿⣿⣼⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠚⣤⣾⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣹⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣷⣛⣿⣦⣛⠀⠉⠉⣁⡈⣁⣚⣛⣿⣿⣻⣭⣭⣿⡿⠛⠉⠉⠉⠒⠂⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣼⣿⣷⠦⠀⠀⠉⠉⢿⣿⣿⣿⣿⣿⣿⣿⣯⠉⠀⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⢸⣏⠿⠍⣿⠙⣿⢹⣿⡏⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⣀⡴⠈⠁⠹⣿⣿⣿⣿⣿⣿⢀⡀⠉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⢾⡟⣿⣿⠇⡿⣇⣿⣎⣿⠇⠙⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⠟⠛⢙⣻⣿⣿⣿⠀⠀⠀⠈⢻⣿⣿⡿⡟⠈⠛⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⢿⣿⣿⣿⣿⣿⣿⠿⠿⠿⢿⢿⣒⣂⢀⣠⣀⣭⣿⣯⣽⠇⣶⣶⣴⣶⣶⢹⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢸⣿⣿⢋⣴⣶⡉⠿⢿⣿⡟⠓⢦⣀⣰⣦⣿⣿⡀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢸⣿⣿⣿⣿⣿⣿⢿⣿⣷⣿⣿⣿⣿⢸⣧⢼⣷⣛⡃⣿⠀⣿⢹⡏⣿⢿⡆⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣅⠉⠙⠀⠀⠈⠉⠁⠀⢘⣿⣿⣿⣿⠟⢐⣣⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢸⣿⣿⣿⣿⣿⣿⢸⣇⣿⢸⡇⣿⢿⠿⠿⠎⠻⠟⠃⠛⠃⠙⠛⠁⠉⠈⠁⡀⣀⣀⣀⡀⣤⢤⣤⡤⠀⠀⠀⠀⠀⠸⢸⣿⠛⠁⠀⠀⠀⠑⠗⠀⣠⣾⣿⣿⠛⣫⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠸⠏⠀⠛⠛⡈⢉⣀⣠⣔⣮⣽⢛⡤⣤⢰⣆⣶⣴⡲⠞⢻⡟⣿⣿⡼⣿⣿⡍⣿⠁⣿⠈⣿⡇⠀⠀⠀⠀⠀⠀⠈⠻⠆⠀⠀⠀⢸⠆⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣼⣿⣿⣿⡿⣇⢿⣽⡻⡿⣿⢛⣻⣷⣿⣸⣿⣿⢨⣿⣧⢸⣇⣿⣾⣧⣿⢿⠇⠿⠇⠿⠶⠹⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡶⣴⠾⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣸⣿⣿⣿⣸⣷⣿⡺⣿⠿⠀⠿⠾⠃⠛⠛⠙⠃⠛⠈⠉⠁⠈⣁⣀⣀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣶⣶⣶⡟⣤⣤⡀⣤⣤⣴⣶⠆⣶⣶⢰⡟⣷⢸⣯⣿⢻⣯⢸⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠻⣿⣿⣿⣿⣿⣿⡿⠋⠀⣿⣿⣇⣿⣾⡅⣿⠃⣿⣽⡾⣷⣶⢾⣯⣿⢸⡷⠾⠷⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠘⢿⣿⣿⣿⡿⠁⠀⠀⠸⠿⠟⠛⠛⠃⠛⠋⠉⠈⠁⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣯⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣀⣀⣀⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢡⡀⠙⢿⣿⣿⣿⣿⣿⡟⣿ ⣶⣶⣧⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡤⡤⠤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⠀⠀⠀⢘⣿⣿⣿⣿⣿⣧⣼ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠫⠊⠂⠖⣍⣿⠻⡻⣿⣿⣿⣿⠇⠀⠀⠀⣠⣦⣾⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⣛⡛⣛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⢀⣀⣀⣀⣀⠀⠁⠈⠁⠈⡌⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢱⣿⢹⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⣰⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠢⣧⣼⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣼⡿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠻⢧⠌⢉⡀⠈⣀⣲⣾⣿⣿⣿⣿⣿⣿⡿⣯⣭⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣡⣤⡾⠉⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠯⣫⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠷⣶⡿⣿⣾⣟⠿⢈⢸⣿⣿⡇⣿⣿⡞⣿⡆⣿⡏⢹⣿⡅⣿⣾⣿⠘⣟⠋⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣅⣀⠀⢀⣼⠏⠙⠿⣿⣿⣿⣿⣿⣿⡆⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡟⣿⡇⣿⡇⣿⢮⡟⣷⡌⢸⣿⣶⡆⣿⢾⣇⣿⣧⢻⣧⣼⣿⣤⣿⣿⡿⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠉⠻⣿⣿⣿⣿⣁⣤⠄⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣇⠿⣧⣟⣃⣿⣾⣟⣻⣽⣷⡝⠋⠉⠉⠼⠿⣿⣿⣶⣖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⠟⣡⡔⠿⣿⣿⡿⠷⣤⠀⠠⣤⣹⣿⡏⠘⠀⠙⠈⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡟⣷⡶⢰⣧⣿⡟⣿⡟⢻⣿⣿⡆⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⢿⣿⣿⡿⠿⠿⠇⠀⠀⠙⠃⠀⢻⣿⣿⣿⣿⣿⣴⣀⠄⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢹⣿⣿⣿⣿⣿⣿⣿⠀⣿⡿⢸⣿⣿⡇⢸⣧⢸⣿⢿⣶⣿⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡿⣿⣶⣤⡀⠀⠀⠲⣿⣆⠀⣸⣿⣿⣿⣿⡿⠉⢺⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⡀⠿⢿⣟⣛⣛⢃⡘⠛⠘⠛⠈⠉⠉⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣇⠀⠁⠀⠀⣄⠉⣏⣼⣿⣿⣿⡯⠉⣷⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠘⠛⢛⡿⠙⡟⢩⣥⣤⣤⣭⠛⢹⣯⣶⣆⣶⢷⡆⣿⢸⣿⢸⡇⠿⢹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠷⠀⠀⣀⡛⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⣶⣾⣿⣿⣿⣸⣿⣿⡇⣿⣾⣾⣿⣿⡇⣿⢸⣷⢿⣿⣿⣿⡇⢿⡾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠻⠿⠟⢛⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣹⣿⢸⡷⠿⡿⠹⠿⠻⠇⠻⠿⠋⠘⠛⠈⠛⠃⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢻⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠛⠛⠻⣿⡿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄ ⠀⠙⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⣶⣶⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠇⠀⠹⣿⣿⣿⣿⣿⣿⡿⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 1152 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/10/29/Meme_In_Serious_Trouble_With_Law_Enforcement_for_Trying_to_Cens.shtml Gemini version at https://techrights.org/n/2024/10/29/Meme_In_Serious_Trouble_With_Law_Enforcement_for_Trying_to_Cens.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ [Meme] In Serious Trouble With Law Enforcement (for Trying to Censor People)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Oct 29, 2024 It seems possible that "Author_of_"Stallman_Report"_Hit_Piece"_will_get arrested_soon*. His attempt to destroy RMS (Dr. Stallman) resulted in his own destruction, whereas RMS gives_many_public_talks_this_week. 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Take_down_this_article_about_me,_I_don't_like_it,_I'll_waste my_life_trying_to_censor_you⦈_ ______ * Militants who tried to harm Techrights also did many illegal things. At one point they tried peddling child pornography through the IRC channels. Notice a pattern? They accuse others of what they themselves are guilty of. ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠈⠀⠀⠀⠀⠐⠀⠀⠘⠀⠉⠀⢁⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡯⣿⣻⢻⣛⢿⣿⢿⢿⣿⣿⣿⣿⣻⡿⣿⣿⠿⣿⣝⣿⠟⢉⣭⢝⣻⣿⠿⣿⠿⣟⣿⣿⢿⣻⣯⣝⣟⣿⣿⡇⠀⠀⠀⠀⠀⡀⠀⢀⣤⣤⣶⣶⣾⣿⣿⣦⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢉⡽⠋⡎⢓⣖⣿⣞⣿⣾⣿⣿⣿⣿⣾⡿⠋⠀⠈⢿⣿⣿⡿⣺⡷⢿⣒⡷⣿⣬⣿⣿⣧⣴⡛⢑⣿⣯⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠒⠈⠙⠒⠛⠛⠓⠛⠛⠟⠙⠊⠛⠛⡿⠃⠀⠀⠀⠘⠛⠙⡛⠛⠙⠙⠓⠛⠙⢙⣙⠚⠃⠉⠓⠊⠉⠙⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⣼⣿⣿⣅⣼⣿⣿⣷⣾⣷⣾⣿⣿⣿⣿⣶⣷⣶⣶⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠿⠿⠿⢿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠙⠶⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣦⣶⣄⠨⣿⣿⣶⣿⠶⠿⠶⠶⠶⠿⠶⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⠟⠻⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⠀⠀⠀⠀⠀⠀⠀⠘⠻⣿⣿⣿⡏⠀⢿⣿⣿⣿⣤⣤⣤⣄⣀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡟⠀⠀⣘⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⡿ ⠀⠀⠀⠀⢸⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣠⣟⠃⠖⠿⠿⢿⣿⣽⣿⣿⣿⣯⣿⣿⣿⣯⣿⣭⣬⣼⣿⣯⣽⣭⣿⣶⣷ ⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⡀⣠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠛⠯⠒⢿⣿⣿⠟⣿⣿⣿⣉⣉⠛⠛⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢀⣀⣀⡘⣛⢟⡓⡐⣑⣛⡁⣀⣀⣀⡀⢀⢀⣀⡀⡀⣐⡛⣛⢛⣛⡛⣛⡛⣛⣛⣻⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠺⣿⣿⣿⣿⣾⢿⠟⣛⡋⣻⣄⣀⣀⣾⠃⠘⠲⠿⢉⠉⠙⢿⣿⣿⠀ ⠉⠉⠘⠚⠛⠛⢋⣚⣻⣛⡛⠛⠃⠛⠛⠛⠃⠛⠋⠛⠛⠚⢻⣃⣛⣻⣻⢛⣛⣃⣛⣛⣟⣼⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠚⣹⣽⣹⣯⣛⣬⣿⣿⣿⣿⣟⣛⣶⣀⠀⠀⢬⠀⡀⣈⣻⣯⣤ ⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣾⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣟⣿⣿⣿⣾⣿⣿⣿⣻⣿⣥⣾⣳⣩⣯⣍⣯⣯⣯⠿⠿⠿⣟⣟⣿⣿⡿⣿⢿⢿⣿⣭⡿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠈⠀⠀⠀⠀⠀⠀⢹⠅⠘⠋⠉⠙⢏⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣻⣷⣿⣿⣿⣿⡟⠀⠈⢻⢿⣿⣿⡿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣴⣾⣦⡀⠻⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⡽⠯⢝⠯⢫⠿⠭⢷⢟⣻⣟⣿⣿⠿⣟⣿⣻⣿⣿⣾⣿⣿⡿⠀⠀⠀⠨⣟⣶⠜⡛⣟⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣴⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠢⠀⠠⠄⠐⠈⠀⠐⠈⠀⠀⠢⠄⠀⠀⠀⠀⠀⣀⡀⠀⣿⣶⡇⠀⠀⠀⠀⡁⠙⠋⠙⠀⠅⠘⠇⠀⠯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣂⣀⣀⣀⠀⣀⣀⢀⣠⢤⣖⢶⣒⡖⣲⠟⣛⣹⣴⣷⣾⣿⣯⣤⠀⠀⠀⠘⢿⣿⣦⠀⣠⣤⣤⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⠀⠀⠀⠀⠀⠀⠠⡿⣎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣟⣿⡟⠋⢻⣶⣀⣭⣽⣷⣷⣿⣿⣿⣿⣿⡿⠟⠉⠩⡀⠀⠀⠀⠀⠉⠙⢿⣿⣿⣿⣿⣛⣿⣿⣿⠛⡟⠛⠋⠘⠑⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⢹⣏⠀⣒⣿⣿⣿⠋⠙⠛⠉⠉⠋⠉⠉⠉⠉⠉⠉ ⣿⣿⣿⣯⣭⣄⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣾⡆⠀⢸⣿⣿⣿⣿⣿⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⢬⣆⠄⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣶⣬⣧⣽⣿⣿⣿⣿⡿⡀⠀⠀⠀⠀⠀⠀⠿⠁⠀⠀⢿⣟⢿⣿⣷⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣭⣛⡿⢿⢿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠿⣿⣾⣿⣿⣿⣿⣿⡽⠿⣿⢿⡿⣿⠻⣟⡋⡙ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡄⠠⠄⠀⠸⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣴⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠶⢶⣾⢻⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣻⠿⢿⡻⠿⠿⠿⢟⠙⠀⣀⣀⣀⠀⠀⠀⢀⡀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢴⣶⣿⡿⢏⠀⠙⠛⣿⠛⢏⣉⣿⠿⠿⣿⣿⣿⡿⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⡇⣰⣻⣱⣿⣼⣿⠈⡿⢠⣏⣏⣿⢳⢿⠆⣼⣹⠃⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠁⠀⣠⣀⡀⠀⠀⠀⠀⠀⠀⠆⣔⢣⡆⢶⠊⡎⢹⢹⣎⣯⡇⣾⣇⣀⠀⠉⠁⠄⠀⠀⣿⣿⡇⢀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⣤⣭⣭⣽⣭⣭⣭⣬⣥⣈⣩⣍⣉⣈⣋⣀⣉⣉⣀⣀⣀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣀⣤⣤⣤⣾⣾⣿⣵⣤⣤⣀⣀⣀⣿⣦⣄⣠⣠⣠⣀⣀⣌⣈⣚⣿⣿⣿⣿⣷⣤⣀⣠⣤⣦⣦⣾⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠛⠛⠛⠛⠛⠛⠻⠟⠻⠛⠛⠛⢻⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠻⠋⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣴⣶⣶⣄⠈⣧⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣆⣽⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢀⢺⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⠀⠀⠀⠀⠀⠈⢻⣿⡛⣷⡶⢶⣶⠶⠶⣿⣿⣿⣿⣿⣿⣿⢿⣿⠋⠀⠀⠀⠀⠀⠀⠒⠲⠽⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿ ⠉⠉⠉⠿⠿⠿⠇⠿⠟⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⢿⠁⠠⡀⠀⠀⠀⠀⠀⠈⠛⣻⣧⣼⣭⣤⠂⣺⣿⠀⠀⠉⠁⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠠⡄⠀⢠⣯⡄⣀⣰⣻⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⡄⣴⣶⡆⡄⣤⣤⣤⡶⣿⣶⣾⣷⣿⣿⣼⣾⣿⣷⣾⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⢀⢐⠀⢼⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠐⣾⠇⠀⠘⣿⣿⣾⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠨⠿⡇⣭⣽⡇⠇⠋⠛⠛⠋⠙⠿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠤⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡄⠀⠀⠀⠀⠈⠀⠀⠀⢿⣯⢻⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶ ⣬⣯⣽⣿⣭⣥⣤⣤⣤⣤⣤⣤⣤⡿⠷⠗⠛⠛⠉⠁⠀⡀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠀⠀⠀⢸⣿⣽⣛⡟⠻⠿⢿⣿⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠺⠿⠿⡿⣿⣿⣻⣟⣛⣫⣿⣿⣳⣗⣻⣭⣥⣙⣿⣋⣿ ⣿⣿⣿⡿⠿⠿⠛⠛⠛⠛⣫⣤⠒⠀⠀⠀⠄⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡇⡀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣾⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣧⣶⣶⣤⣥⣤⣤⣤⣰⣝⣿⣦⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣤⣦⣤⣼⣿⣿⣿⣿⡿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⣤⣶⣿⣿⠿⢵⣿⣏⣘⠦⣾⡟⠛⠻⢿⣿⣿⠋⠹⣿⢿⣿ ⣿⣿⡏⡖⣶⢪⣭⣭⣭⡽⣭⢩⣭⣭⢱⣶⣦⣄⣦⢤⣴⣤⣤⢠⣤⢄⣤⣤⣤⣤⣤⡤⢩⣭⣭⡍⡻⠋⣿⣿⠁⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⣀⡙⡛⣁⣀⡀⣻⣹⣿⣿⣶⣾⣇⠀⠘⠿⣿⣀⣼⣿⣿⣿ ⣿⣿⣿⣧⣭⣬⣥⣭⣭⣥⣥⣯⣭⣥⣬⣭⣬⣬⣥⡍⡍⠉⠉⠈⠉⠈⠁⠁⠉⠉⠉⠁⡌⠈⠈⠁⠃⠀⣿⣿⡀⡀⣄⡿⣿⡇⣤⡀⠀⠀⠀⢸⣶⠤⡠⠁⡉⠍⢠⠉⠈⠁⡍⢻⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 1225 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/10/29/Meme_Modern_Cars_Are_Plasticware_That_May_Only_Last_Years_Not_D.shtml Gemini version at https://techrights.org/n/2024/10/29/Meme_Modern_Cars_Are_Plasticware_That_May_Only_Last_Years_Not_D.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ [Meme] "Modern" Cars Are Plasticware That May Only Last Years, Not Decades⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Oct 29, 2024 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Happy_Halloween_scene_with_three_black_cats_collage_on orange_stained_old_parchment_paper_background_with_mirror_frame⦈_ They want to sell the same thing over and over again 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Plasticware⦈_ 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Lifespan_of_NEVs_is_less_than_half_that_of_fuel_vehicles, according_to_China's_official_trade-in_measures⦈_ 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇EV_lifespan_is_getting_shorter._They_are_becoming_like smartphones⦈_ Context: The_Problem_Isn't_That_New_Cars_Use_Electricity_But_That_They_Use_Too Many_Bits_of_Electronics ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠿⠿⠿⠿⠿⣿⠿⠿⠿⡿⠛⠛⣛⠻⡿⠛⢛⣛⠻⠟⣛⠻⢛⡛⢻⣿⣿⣿⣿⠿⠿⠿⠿⠿⡿⠿⠿⢿⡟⠛⠻⣿⡟⠛⠻⣿⣿⠟⣛⣛⠻⠟⣛⠛⢛⣛⠻⢛⡛⠻⠿⠿⠿⠿⠟⠿⠿⠛⠛⠛⢛⡛⣿⣿⣿ ⣿⣿⡏⢸⣿⠀⣿⡇⡇⢸⣿⡇⡇⢹⣿⢻⣷⠀⢹⣟⢻⣷⠀⢻⡇⢸⡇⣾⣿⣿⣿⡇⣾⣧⢸⣿⠀⡇⣿⣿⡆⡇⣿⡇⣿⡇⣿⡇⣿⡇⣾⡟⣿⡗⠈⣿⠇⣼⣿⡇⣿⡇⢸⣿⢛⡃⢹⡿⢛⡀⢠⣫⣅⢸⡇⢸⣿⣿ ⣿⣿⣷⢸⣿⣴⣿⠇⠃⣿⢻⣧⠀⣾⣇⣸⣿⠀⣾⣇⣸⣿⢸⡌⣿⡿⢰⣿⣿⣿⣿⡇⣿⣳⣼⣿⢀⢠⡿⣿⡇⠀⣻⡇⣿⠃⣻⡇⣿⡇⣿⡇⢸⣿⠀⣿⣇⡿⣿⣧⣿⠁⢸⣿⣬⠁⢸⣧⣬⠁⢸⡿⡷⢼⡇⢻⣿⣿ ⣿⣿⣇⢸⣿⠉⣿⡆⢸⣿⡼⢿⠀⣿⡗⢉⣡⡄⣿⡗⢉⣡⣼⡇⣿⡇⢹⣿⣿⣿⣿⡇⣿⣿⢹⣿⠀⣸⡷⡾⢧⠀⣿⡇⣿⠀⣿⡇⣿⠁⣿⡇⢸⣿⠠⢹⣿⡃⢸⣿⣿⠀⣾⡿⢰⡆⣿⡏⢰⡆⣽⡇⢻⣾⡇⢸⣿⣿ ⣿⣿⣿⢸⣿⠀⣿⡆⣸⡇⠸⣿⡄⣼⡇⢸⣿⡇⣼⡇⢸⣿⣿⡇⣿⡇⣸⣿⣿⣿⣿⡗⣹⣷⢸⣿⠀⣿⠇⢸⣿⠀⣿⣧⣉⠀⣿⣧⣉⠀⢿⣧⣾⡟⣰⢸⣿⠇⢸⣿⡏⣰⢸⣷⣘⡁⢹⣷⣘⡁⣿⠇⢸⣿⡇⣿⣿⣿ ⣿⣿⣿⣬⣭⣤⣭⣥⣭⣥⣦⣭⣥⣤⣤⣾⣿⣷⣤⣤⣾⣿⣿⣷⣤⣤⣿⣿⣿⣿⣿⣷⣬⣥⣬⣭⣤⣭⣴⣬⣭⣤⣮⣭⣤⣶⣬⣭⣤⣾⣶⣤⣭⣴⣿⣶⣶⣾⣦⣴⣶⣷⣬⣥⣭⣥⣬⣤⣭⣴⣦⣴⣶⣤⣶⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⠛⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡿⠋⠁⠀⣀⣤⣤⣤⣤⣄⣹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⣿⣯⣭⣽⡙⠁⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠏⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⣰⣿⣿⣿⣿⣿⣿⣆⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠃⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢠⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿ ⡟⠀⢠⣿⣿⣿⣿⡿⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡇⠀⠸⣿⣿⣿⣿⣷⣤⣤⣤⣿⢿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡀⠀⢻⣿⣿⣿⣿⣿⣿⣿⡿⠾⢿⣿⣿⣿⣿⢿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣷⣄⠀⠙⢿⣿⣿⣿⣿⡿⠑⡗⣼⣿⣿⣿⡟⠄⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠝⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣧⣄⡀⠈⠉⠉⠁⠀⢈⣶⣿⣿⣿⡿⠄⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⢀⣄⠀⢀⠀⠀⠀⠀⠀⠘⠛⠟⢿⡽⠟⠛⠻⢽⣿⣿⠿⠷⢰⣦⡀⣤⣤⠀⡠⠖⠤⠸⠿⠽⣿⣿⢞⠿⠿⠛⠛⢿⠿⢿⣿⣿⣿⡿⠛⠟⠿⠛⠛⠙⠋⠈⠉⠉⠋⠁⠈⠁⠀⠀⠀⠀⠀⠀⢀⣀⠀⢀⠀⠀⠀⠀⠀⠂ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠁⠀⠘⢻⡙⠛⠃⠉⠀⠀⠀⠀⢀⣀⣀⣀⣠⣤⣤⣤⣤⣷⣶⠶⠾⠿⣛⣛⣛⣛⡛⣛⣛⡿⢿⣧⣄⣀⣀⡤⠤⠄⠀⢀⣀⣤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉ ⣿⣿⡿⢿⣿⠽⠏⠉⠙⠉⠁⠀⢀⣀⣀⣀⣀⣀⡀⣤⡀⠠⣷⡖⠒⣾⣿⣛⣻⣿⣿⣭⣭⣽⣿⣿⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⣷⣶⣶⣶⣾⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣤⣶⣮⣤⣶⣶⣶⠶⠿⠿⠿⠛⠛⠛⠛⠋⢩⢨⡿⢿⣶⣌⢣⣤⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣸⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡭⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠛⠉⠀⢸⣿⣿⣿⡇⠀⣄⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⠿⠟⠛⢛⣽⣿⣿⣿⣀⡀⣠⣤⡄⢠⣴⣶⣼⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠸⣿⣿⡟⠁⠘⠿⠉⠉⡇⠀⠀⠀⠀⠀⠀⠀ ⠉⢩⣿⡿⢹⣿⣿⣿⣿⣿⣧⣿⣿⡇⢸⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢠⠬⡍⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣿⠏⢠⣿⣿⣿⣿⣿⣿⢿⣿⢹⣿⢸⣿⡌⣿⡟⢿⣿⣻⣿⠟⣿⣿⣿⢻⣿⠿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣧⣤⣾⣿⣿⠟⠁⢸⣿⡘⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⡟⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⢤⣶⢶⣦⠀⠀⠀⠀⠈⠻⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢿⣿⣿⡛⠻⠛⠋⠀⠀⠀⢀⠀⠀⠀⢸⣯⣿⣇⡄⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠹⣿⡆⣸⡟⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⢿⣽⣿⣿⣿⣿⣿⣻⣫⡁⠠⠤⡤⠀⠀⠀⠀⠈⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⣠⡄⣿⣧⣿⣷⢸⣿⡟⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢛⢿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣭⣵⣼⣿⣿⣾⣶⣶⣶⣦⣄⡀⠀⢠⣤⣄⣀⣀⣀⣀⣀⠀⠀ ⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣧⣿⠇⡿⠿⠹⠿⠟⠟⠃⠛⠃⠀⢀⠀⠠⠤⠄⠀⠂⠀⡠⠄⣶⣾⣿⣿⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⢙⣿⣿⣿⣿⣿⣿⣿⣷ ⣿⣿⣗⠀⢰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣶⣿⣾⣶⣶⣬⣅⣀⡸⠛⠟⠉⠉⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣶⣾⣿⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣭⣤ ⣿⣟⣟⣧⠘⣟⠀⠀⠀⠀⠀⠠⣀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠛⠿⠿⠿⠛⠛⠋⠉⣉⣁⣤⣤⣤⡄⠀⠀⢠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣭⣥⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢻⣿⣿⣿⣦⣤⣀⣠⣤⣤⣀⡀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠂⠀⠀⠀⠀⠀⠀⢼⠿⠿⠛⠛⠋⠉⢁⣢⣤⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣀⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣷⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣤⣈⠀⠀⠀⠀⠈⠉⠉⠉⠉⠐⢴⣲⡶⡶⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿ ⣿⣿⣾⣿⣿⣿⣶⣻⣿⢿⣿⣿⣟⣷⣿⣿⡭⠇⠀⠀⠀⠀⠀⠀⠤⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣼⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⣿⣯⣽⣿⣟⣟⡿⠟⠛⠋⠁⠀⠀ ⣿⣿⢿⣿⣿⣭⣽⣿⣿⣾⠿⣿⣿⣿⣿⡿⠛⠆⠉⣤⡀⠄⠤⠄⠀⠀⠙⠿⡿⣿⣿⣿⣿⣿⣿⣿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣢⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣻⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀ ⠛⠛⠉⠈⢷⣿⣽⣽⣿⣭⣿⣿⣿⣿⣿⣿⣴⣥⣯⣽⣿⣿⡛⠙⠻⠆⠀⠀⠀⠘⠛⠛⠻⣿⣿⡿⠛⠉⠀⠀⠀⠀⠈⠍⠈⠈⠁⠋⠛⠻⣿⣗⣤⢀⣠⠙⡛⠙⠻⠿⢿⣿⡟⠳⠶⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣷⣦⣤⠀⠈⢁⣽⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢼⣶⣶⣻⣷⠂⠀⢠⣿⣃⡀⠛⢻⡟⠋⠉⠑⠂⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⢿⠿⠿⠛⠃⠀⠈⠙⡏⠛⠛⠀⠀⠀⢠⣄⣀⣀⣀⣠⣤⣤⣤⣽⣶⡶⠶⠾⣿⣛⣛⣛⣻⡯⠍⢭⣛⣛⠿⠶⠄⡤⠤⠤⠤⢀⠀⠀⠤⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁ ⣿⣿⠿⠿⠿⠟⠋⠉⠀⠀⠀⢀⣀⣀⣀⣀⣠⣤⢠⣤⣄⠰⢾⡶⠊⢛⣻⣿⣿⣯⣭⣭⣽⣿⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⣿⣿⣛⣿⡄⢻⠀⠀⠀⠀⠀⠠⢄⣀⡀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠙⡛⠛⠿⠟⠛⠛⠉⠉⣉⣉⣡⣤⣤⣤⡄⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣭⣥⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠛⣿⣿⣿⣷⣦⣤⣤⣴⣤⣄⣀⡀⠐⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠸⠿⠿⠛⠛⠉⠉⠁⣲⣤⣾⣿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣴⣶⣯⡀⠀⠀⠀⠀⠉⠁⠈⠈⠐⢿⣶⢶⡦⣬⣽⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿ ⣯⣿⣾⣿⣿⣿⣷⣿⣿⣿⣾⣿⣯⣻⣾⣟⣛⠳⢀⠀⠀⠀⠀⠀⠀⠶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⡛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡦⢃⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿⣿⣿⡿⠟⠛⠋⠁⠀⠀ ⣿⣿⡿⣿⣿⣯⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠓⠀⣀⣄⠀⠤⠆⠀⠀⠘⠻⠿⠿⣿⣿⣿⣿⣿⣿⣦⣤⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣹⣼⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⡿⢛⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀ ⠙⠋⠉⠀⠻⣾⣿⣿⣯⣯⣾⣿⣿⣿⣿⣿⣶⣯⣽⣿⣿⣿⡛⢉⠒⠃⠀⠀⠀⠈⠉⠉⠛⢿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠈⠀⠀⠀⠉⠛⢻⣟⣧⣦⠀⠁⢹⢛⠛⠻⠿⠿⣿⣿⠿⠖⠝⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣴⣶⡀⠈⠉⣼⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡶⣶⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣄⢚⣿⠃⠀⠀⣸⡎⣠⠀⠀⡽⠺⠑⠀⠀⠂⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠟⠛⠃⠀⠈⠉⢎⠉⠉⠀⠀⢀⣀⣀⣀⣀⣤⣤⣤⣤⣷⣶⡶⠶⠾⣿⣛⣛⣛⣻⣯⣭⣭⢭⣝⣛⡻⠶⠦⠤⠤⠤⢔⣒⡐⠠⠤⠤⠤⠀⠒⠒⠒⠂⠀⠀⠀⠀⠀⠀⠉⠁ ⣿⠿⠿⠛⠿⠗⠛⠁⠀⠀⣀⣀⣂⣀⣀⣤⣤⣤⢠⣰⣄⡐⠾⣾⠉⢹⣿⣿⣭⣽⣯⣿⣿⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣶⣶⣿⣴⣶⣿⣿⣟⠛⠛⠛⠛⠉⠉⠉⠉⢠⣄⠟⠿⣿⣦⣘⣰⣾⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣿⣿⣿⣿⣿⣿⣿⣿⢻⡿⣿⣿⣿⢿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⣯⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⣠⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠈⣷⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠉⠉⠀⠀⣿⣿⣿⠿⢀⣦⣢⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⣟⣛⣛⣉⣵⣿⣿⣿⣇⡀⣠⣤⡄⢠⣴⣶⣤⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢻⣿⠇⠀⠈⠋⠀⡀⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣼⡿⢋⣿⣿⣿⣿⣿⣧⣿⣿⡇⢸⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣾⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣿⠟⠁⣾⣿⣿⣿⣿⣿⢿⣿⢹⣿⢸⣿⡾⣿⡟⢿⣿⣻⣿⠛⣿⣿⣿⢻⣿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣶⣾⣿⣿⠟⠁⢸⣿⡘⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⡇⠀⠀⠀⠀⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⢤⣶⣶⣦⠀⠀⠀⠀⠀⠈⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡞⣿⣿⠿⠛⠋⠉⠀⠀⠀⠀⡄⠀⠀⠀⠿⠿⠶⠀⠀⠀⠀⠀⣴⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢹⣿⡆⣸⡿⣿⡄⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⠛⠻⠿⣿⣿⣯⣭⣽⣿⣿⣆⣀⣲⣬⢄⢀⠀⠀⠀⣠⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⣠⡄⣿⣧⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣉⡻⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣿⣿⣷⣿⣶⣶⣶⣄⠀⠀⢠⣤⣄⣠⣄⣄⣀⣀⣀⣀ ⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣧⣿⠇⠿⠿⠹⠿⠞⠟⢃⣛⣃⣀⣀⣀⠀⠀⠀⠀⠀⠄⣈⠰⠰⣿⣿⣿⣷⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣹⣿⣿⣿⣿⣿⣿⣿⣷ ⣿⣿⣿⡅⠀⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡼⠥⠠⠟⠛⠉⠁⠈⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣽⡇⠀⣸⣿⣿⣿⣿⣿⣿⣿⣷⣴ ⣿⣿⣿⣯⡄⠹⡇⠀⠀⠀⠀⠀⠤⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⡉⠉⠙⠛⠛⠋⠉⠉⣉⣀⣤⣤⣴⣶⣶⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣥⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠉⢿⣿⣿⣿⣶⣤⣤⣴⣶⣤⣄⣀⡀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠰⠿⠟⣛⠋⠉⠉⠁⣤⣤⣾⣿⠟⠻⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣀⣼⡿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⢿⣷⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣤⣶⣶⣦⡄⠀⠀⠀⠀⠉⠀⠀⠉⠐⢿⣿⡶⣷⣷⣽⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿ ⣿⣿⣿⣿⣿⣿⣿⣾⣿⣟⣿⣿⣿⣽⣿⣟⣓⠛⢤⡀⠀⠀⠀⠀⠐⠶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⡋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣾⣿⣿⣿⡿⠟⠛⠉⠁⠀⠀ ⣭⣽⣟⡿⣿⢿⣮⣽⣿⣷⣟⣻⣿⣿⣿⣿⠛⠙⠀⣒⣆⣒⠰⠖⣀⠀⠈⠛⠿⢻⢿⣿⣿⣿⣿⣿⣧⣤⡂⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣷⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠗⣒⢿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀ ⡈⠉⠁⠀⠸⣿⣷⣿⣯⣿⣾⣿⣾⣿⣿⣿⣷⣾⣾⣾⣿⣿⡟⠉⡀⠛⠀⠀⠀⠀⠉⠉⠙⠻⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢛⣻⣶⡆⠄⣄⢸⢟⠝⠟⠿⠻⣿⢿⠓⠖⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣽⣶⣀⠀⠄⣼⣿⣿⣷⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣭⢢⡹⣿⣇⠀⠀⣶⠝⢀⠐⠈⠶⠪⠀⠑⠒⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠟⠛⠛⠁⠀⠀⠈⢧⠉⠉⢀⣀⣀⣀⣀⣤⣤⣤⣤⣶⡶⠶⠶⠶⢿⣟⣛⣛⣛⣭⣭⣭⣭⣩⢩⣭⣽⣛⠻⠶⠤⢤⣒⣒⣒⡀⠀⠤⠶⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⠿⠟⠛⡛⠟⠉⠀⠀⣀⣀⣀⣀⣤⣤⣤⣤⣶⠰⢰⣦⡈⠻⣟⠉⢹⣿⣭⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣾⣿⣿⣶⣿⣿⣿⣟⠛⠛⠛⠉⠉⠉⠁⠀⠰⣄⡟⠻⣿⣧⣬⣶⣾⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⣇⡆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡖⠀⣤⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠉⠀⠀⠀⣿⣿⡿⠟⢠⣦⠤⢤⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣛⣛⣉⣉⣵⣿⣿⣿⣇⡀⣠⣤⡄⢠⣴⣶⣤⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢻⣿⠁⠀⠈⠁⠀⠼⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣾⡿⢉⣿⣿⣿⣿⣿⣧⣿⣿⡇⢸⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢞⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠟⠀⣾⣿⣿⣿⢿⣿⢿⣿⢹⣿⢸⣿⡖⣿⡏⢿⣿⢹⣿⠋⣿⣯⣭⢹⣿⡛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⣿⣿⣿⣿⣇⠘⠅⠀⠀⠀⠀⠀⡲⠠⢤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣅⡉⠙⠛⠁⠁⠁⠀⣤⣤⣴⣶⣶⣶⣾⠀⠀⢀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠉⢿⣿⣿⣿⣷⣶⣶⣾⣷⣦⣦⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠉⠉⠀⠀⠀⣬⣶⣿⣿⡛⡛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣤⣴⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⡿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣶⣶⣾⣿⣷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣯⣭⡙⠢⠀⠀⠀⠀⠀⠀⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⢄⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣷⡶⣿⣿⣿⣟⡿⠿⠛⠉⠁⠀⠀⠀ ⣿⣿⣿⡿⢿⣿⣶⣾⣿⣿⢿⣿⣿⣿⣿⣿⣋⢉⣉⣠⣦⣄⣒⣓⠀⣀⠀⠉⠛⠛⣿⣿⣿⣿⣿⣿⣷⣶⠍⠀⠀⠀⠀⠀⠀⢀⣤⢤⣴⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢭⢽⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣁⠀⠀⠸⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡀⠅⡉⠀⠀⠀⠀⠀⠀⠈⠛⠿⠟⠋⠀⠀⠀⠀⠀⣀⠂⢤⣀⣀⠀⠈⠉⣟⠓⠶⢦⣭⣤⡬⠥⠉⠛⢉⠿⠿⠟⠊⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣶⣿⣆⡀⠀⣼⣿⣿⣵⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⢀⢈⠠⡭⣿⣯⣽⣿⡷⠂⠀⣮⣵⣾⡄⢍⣽⠅⠀⠈⠉⠁⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠟⠟⠛⠛⠛⠉⠉⠀⠀⠀⢱⡀⣈⣀⣀⣠⣤⣤⣤⣤⣼⡶⠶⠶⢿⣿⣿⣛⣛⣿⣯⣭⣭⣭⣷⣶⣶⠲⣶⣭⣽⣛⣛⣒⣒⣒⣢⣭⡍⠀⠒⠒⠚⠋⠉⠉⠁⠁⠁⠀⠀⠀⠀⠀⠀⠀ ⠿⠟⠛⢛⡛⠋⠉⣁⣀⣀⣀⣠⣤⣤⣤⣴⣶⡶⠆⢼⣷⣌⡛⢿⠀⠨⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣶⣿⣿⣿⣿⡍⠉⠉⠉⠁⠀⠀⠀⠀⡇⡏⢛⣿⣷⣤⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢀⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠁⣴⣶⣶⠖⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣗⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⣿⡿⠛⠀⡿⠚⠓⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⣟⣛⠉⣭⣥⢼⣿⣿⣿⣇⡀⣠⣤⡄⢠⣴⣶⣤⣿⣿⡶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠙⠇⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⢀⣾⡿⢉⣿⣿⣿⣿⣿⣧⣿⣿⡇⢸⣿⢸⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡟⠁⣼⣿⣿⣿⢿⣿⢿⣿⢻⣿⢸⣿⡞⣿⡏⢻⣿⢹⣿⠉⣿⣯⣭⢹⣿⡙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣾⣿⣿⣿⠟⠁⢸⣿⡘⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠓⠀⠀⠀⠀⡇⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⣤⣶⣶⣦⠀⠀⠀⠀⠀⠀⠉⠉⢿⡿⢿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⠟⠋⢉⡀⡄⠀⠀⠀⡄⠀⠀⠀⠓⠂⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⢹⣿⡆⣼⡿⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠿⢿⣷⣶⣾⣷⣿⣯⣤⣍⣲⣦⡑⠄⠀⠄⣤⣤⣶⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⣤⡄⣿⣧⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣀⣀⣤⡌⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢺⣆⠀⢸⣷⣶⣴⣦⣴⣤⣤⣤⣤ ⣿⣿⣿⡇⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣧⣿⠇⠿⠿⠹⠿⠞⠛⢃⣻⣧⣤⣤⣤⣄⣀⣀⣀⣀⡀⢠⠂⠀⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠈⡏⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠿ ⣿⣿⣿⣧⡀⢸⡶⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠶⠔⠐⠋⠉⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡙⠛⠂⠀⢠⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣖⡈⠇⠀⠀⠀⠀⠀⢓⠂⠤⡄⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⡐⠐⠈⠉⠉⠀⠀⣤⣤⣴⣶⣾⣿⡿⠁⠀⢀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠈⠹⣿⣿⣿⣿⣷⣶⣾⣿⣶⣶⣤⣄⣈⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠉⠉⠀⠀⠀⣾⡿⠿⡿⣟⣙⠛⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣤⣤⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣴⣶⣶⣿⣿⡿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠐⡻⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟ ⣽⣿⣿⣿⣿⣿⢿⣿⣿⣿⣙⣿⣿⣾⣿⣿⣭⣍⠲⠄⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢦⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣶⣿⣿⣿⣿⡾⠿⠛⠉⠁⠀⠀⠀ ⣾⣿⣿⡿⢻⣟⣷⣾⢿⣿⠿⣽⢿⢿⣿⣿⣏⢉⣉⡩⣥⣬⣐⣋⣤⣄⠀⠉⠛⠙⣿⣿⣿⣿⣿⣿⣿⣶⠌⠀⠀⠀⠀⠀⠀⢀⣰⣶⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢩⣹⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⣄⣀⡀⠀⠰⢿⡿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣀⢌⣉⠀⠀⠀⠀⠀⠀⠈⠙⠻⠟⠋⠁⠂⠁⠁⠀⣀⡈⢂⣤⣀⡈⠁⢈⣿⡾⠿⢿⣿⣧⣼⢒⢈⠉⠛⠻⠿⠛⠋⠓⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣶⣿⣧⡀⠀⣼⣿⣿⣷⡿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⢀⣤⡄⢀⢀⡀⣲⣙⣿⣿⣿⣿⣿⣇⣀⢽⣿⣿⡎⠽⣯⢗⠀⠀⠈⠁⠐⡆⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⢿⣿⠿⠿⠿⠟⠛⠛⠛⠛⠛⠉⠉⠀⠀⠀⠹⡄⣀⣀⣀⣤⣤⣤⣤⣴⡶⠶⠶⣿⣟⣛⣛⣛⣿⣯⣭⣭⣭⣶⣶⣶⣦⣤⣶⣾⣭⣝⣛⣒⣒⣮⣭⣭⡅⠀⠐⠚⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⠛⠛⣋⡙⠋⣉⣁⣀⣀⣤⣤⣤⣤⣤⣶⣶⠶⠆⢾⣷⣤⡙⠻⡀⢀⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣶⣿⣿⣿⣿⡍⠉⠉⠉⠀⠀⠀⠀⠀⣇⡟⠉⣽⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠁⢴⣶⡶⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣻⠟⠋⢸⠟⠉⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⠯⠭⣭⣤⢸⣿⣿⣿⣇⡀⣠⣤⡄⢠⣴⣶⣤⢹⣿⡶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣁⣀⣾⡿⢉⣿⣿⣿⣿⣿⣧⣿⣿⡇⢸⣿⢸⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡟⠀⣼⣿⣿⣿⢿⣿⢿⣿⢹⣿⢸⣿⡟⣿⡏⢻⣿⢸⣿⠀⣿⣧⣤⢸⣿⡹⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣾⣿⣿⣿⠟⠁⢸⣿⡘⣿⢸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⠃⠀⠀⠀⠀⠃⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⢤⣶⣶⣦⠀⠀⠀⠀⠀⠀⠈⠉⠿⡿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⠿⠓⠀⠁⠀⡄⠀⠀⠀⠆⠀⠀⠀⠃⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⢹⣿⡆⣼⡟⣿⡆⢸⣿⣼⣿⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠿⢿⣿⣿⣿⣿⣾⣤⣬⣝⣓⣐⡤⠤⢄⣴⣶⣖⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⣤⡄⣿⣧⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣀⣤⣤⣎⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣆⠀⢸⣿⣿⣧⣦⣶⣶⣶⣦⣤ ⣿⣿⣿⣇⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣧⣿⠇⠿⠿⠹⠿⠞⠛⢣⣿⣧⣤⣤⣶⣄⣠⣤⣀⣀⡀⠰⠍⠁⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⡏⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡻ ⣿⣿⣿⣧⡀⢸⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠒⠒⠉⠈⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣟⠿⠿⠀⠀⠻⠧⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣷⣷⣗⡈⠂⠀⠀⠀⠈⠈⠙⡂⠲⠤⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠤⣄⠀⠈⠉⠉⠁⠀⠀⣤⣴⣶⣶⣿⡿⠿⠀⡀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠘⣿⣿⣿⣿⣷⣾⣿⣿⣷⣶⣦⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣋⠙⠉⠀⠀⠀⠀⡶⠿⠿⢿⣏⣉⣉⣉⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⣾⣟⣿⣿⣿⣿⣻⣻⣿⣿⣿⣿⣿⣟⣿⣿⠦⡀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣴⣶⣶⡿⣿⣿⡿⠒⠀⠀⠀⠀⠀⠀⠀⠀⠈⡹⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⢿⢿⣿⣿⣿⣿⣿⣿⡿⠟⠛ ⣽⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣷⣿⣿⣷⣍⡡⠄⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣻⣿⣿⣿⣿⡧⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢲⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⠾⠟⠋⠁⠀⠀⠀⠀ ⡶⣿⣿⠝⢻⣟⣿⢿⣿⣿⢿⣽⣿⣿⣿⣿⣍⠈⠤⡼⣷⣬⣭⣯⣤⣄⠀⠈⠙⠙⢿⣿⣿⣿⣿⣿⣿⡿⠦⠀⠀⠀⠀⠀⠄⠀⠼⢷⣾⣿⣿⣿⡻⠟⣾⡿⠿⡿⣿⣿⣿⣿⣿⣿⣛⡥⢹⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣄⣀⠀⠸⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⣂⣀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠛⠉⠈⠁⠡⠈⢀⣀⣀⣀⣤⣤⠂⠀⢈⣙⠓⠻⢶⣭⣱⠛⠤⣍⣉⠩⠽⠟⠛⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⣾⣿⣧⡄⡀⢼⣿⣿⣷⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⢀⣀⠀⣠⣤⡄⠠⢠⡀⢴⠬⠽⣯⢡⣯⣇⣲⣀⡭⣾⣿⠋⠹⢯⠍⠀⠀⠀⠁⠑⠁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠻⠛⠛⠛⠛⠛⠉⠉⠀⠀⠀⠀⣘⣆⣠⣤⣤⣤⣤⣾⡶⠶⠶⣶⣟⣛⣛⣻⣿⣿⣭⣭⣿⣷⣶⣶⣾⣿⣿⡏⣿⣶⣾⣭⣭⣭⣭⣭⣭⣤⣶⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠟⣛⣋⣉⡭⢙⣁⣀⣠⣤⣤⣤⣴⣶⣶⡶⠶⠿⠗⢳⣿⣦⣌⠻⡇⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠀⠀⠀⠀⠀⠀⠀⣷⠬⠈⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣏⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠁⢰⣾⡟⢉⡃⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⠛⠁⣳⠏⠙⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⠭⠥⣴⣶⢸⣿⣿⣿⣿⡀⣠⣤⡄⢠⣴⣶⣤⢸⣿⡶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣁⣠⣾⡿⠋⣿⣿⣿⣿⣿⣧⣿⣿⡇⢸⣿⢸⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡟⣁⣼⣿⣿⣿⢿⣿⢿⣿⢹⣿⢸⣿⡟⣿⡇⢻⣿⢸⣿⠀⣿⣧⣤⢸⣿⣸⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠋⠁⢸⣿⡘⣿⢸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⠿⠟⠋⠉⠙⠀⠀⠀⠀⠀⠀⠀⠀⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⢤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⣿⣿⡿⡿⠿⣿⡿⣽⡟⠋⣁⠀⠄⠄⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⢹⣿⡆⣼⡿⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⠿⢿⣿⣿⣿⣶⣶⣤⣽⣿⣂⣂⣠⣀⣴⣶⣿⣠⡀⠀⢀⣀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⣤⡄⣿⣧⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⣤⣤⣴⣆⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⢸⣿⣇⠀⢸⣿⣿⣾⣷⣶⣶⣶⣶⣶ ⣿⣿⣿⣇⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣧⣿⠇⠿⠿⠹⠿⠞⠟⢣⣿⣷⣶⣶⣶⣦⣨⣤⣤⣄⣌⠰⠋⠁⣿⣿⠿⠿⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣼⣿⡏⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣻ ⣿⣿⣿⣷⡄⢸⣏⠐⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠛⠛⠒⡀⢉⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⠿⠿⠀⠀⣿⡛⠷⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣀⠓⠀⠀⣀⠀⠀⠹⠀⠒⠦⠀⡀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠠⠦⠬⠈⠉⠀⠀⠀⠀⣶⣶⣶⣿⠿⠿⠿⢀⠀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣉⡉⠃⠐⠀⠀⠀⠶⠿⠻⢿⢯⣨⣉⣉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⣾⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⢿⣿⣿⣟⣷⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⣤⣴⣶⣶⣿⣿⣿⣿⠿⠓⠀⠀⠀⠀⠀⠀⠀⠀⢀⣽⡿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛ ⣾⣿⣿⣿⣿⣿⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣑⢂⠀⠀⠀⣀⠀⠈⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣲⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣟⣻⣿⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀ ⠿⠿⠿⠟⢻⣯⣿⣿⣿⢿⣛⣾⣿⣿⣿⣿⣯⣠⣤⣴⣶⣦⣭⡥⢄⣤⠀⠀⠉⠈⠿⠿⢿⣿⣿⣿⣿⡿⠂⠀⠤⠀⠀⠠⠀⠰⠽⠿⠿⣿⣿⣿⣟⣿⣿⣿⣿⢿⢿⣿⣿⣿⣿⣿⣿⣶⢻⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣦⣤⣄⡀⠘⠿⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣢⣤⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠁⠀⠀⢀⠢⢀⣤⣈⣠⣶⣖⡎⠀⢠⣿⡛⠛⣿⣷⡶⠾⢚⣊⣁⣈⠝⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⣯⣿⣷⡄⠀⠼⢿⣿⣷⣟⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⢀⣤⠀⣠⣤⣤⣄⢰⣶⣷⡵⠿⣟⣽⣿⢧⣦⣴⡿⣿⣿⡿⠞⠿⣫⠀⠀⠀⠀⠙⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣻⡿⠛⠛⠟⠛⠛⠋⠉⠉⠉⠁⠀⠀⡀⠀⣈⣆⡠⠤⣤⣤⣶⡷⢶⠶⢾⣟⣛⣛⣻⣿⣿⣭⣭⣿⣷⣶⣶⣶⣿⣿⣿⡇⣿⣷⣶⣭⣭⣭⣭⣭⣽⣶⣶⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢛⣋⣉⣩⡍⣉⣀⣤⣤⣤⣤⣴⣶⡶⡶⠾⠾⠿⠓⢳⣿⣶⣌⠛⡇⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢿⠨⠈⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣽⣿⣿⣯⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠁⢸⡿⠛⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⠘⠃⢹⠟⠛⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⠭⢐⣶⣶⢺⣿⣿⣿⣿⡀⣠⣤⡄⢠⣴⣶⣤⢸⣿⡶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣠⣾⡿⢉⣿⣿⣿⣿⣿⣧⣿⣿⡇⢸⣿⢸⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣟⣀⣼⣿⣿⡿⢻⣿⢿⣿⢹⣿⢸⣿⡏⣿⡇⢻⣿⢸⣿⠀⣿⣧⣤⢸⣿⡸⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡿⠋⠀⢸⣿⡘⣿⢸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⠿⠟⠉⠉⠙⠀⠀⠀⠀⠀⠀⢠⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⢤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⣿⣿⣿⣿⡿⡿⠿⠿⡟⣾⣟⠋⢁⡀⠄⠆⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢹⣿⡆⣸⡟⣿⡆⢸⣿⣼⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠿⢿⣿⣿⣿⣷⣶⣶⣿⣿⣌⣂⣀⣂⣰⣶⣿⣴⠀⠀⣀⣀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⣤⡄⣿⣧⣿⣷⢸⣿⡟⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⡀⣤⣤⣶⣇⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⢠⣿⣿⡇⠀⢸⣿⣿⣶⣷⣿⣿⣷⣶⣶ ⣿⣿⣿⡧⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣧⣿⠇⠿⠿⠹⠿⠞⠛⢣⣿⣷⣶⣶⣶⣦⣠⣤⣤⣤⣌⠰⠃⠁⣿⣿⠿⠟⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⢀⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣟ ⣿⣿⣿⣷⠄⢸⡇⠐⠀⠀⣀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠿⠿⢿⣿⣿⣿⠿⠿⠿⠟⠛⠛⢊⣈⣁⡀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡝⠻⢿⠟⠀⠀⣼⣯⣽⣟⠷⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⣿⣿⣿⣯⣄⡁⠀⢀⣀⡀⠀⠩⠀⢓⠆⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠰⠦⠌⠀⠀⠀⠀⠀⠀⣶⣶⣾⣿⠿⠿⠟⠀⣀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣾⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣩⡉⠂⠂⠀⠀⠀⠿⠟⠻⠿⠏⣬⣭⣭⣭⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣟⣳⡄⠀⠀⠀⠀⠀⣀⣀⣀⣀⣠⣤⣶⣶⣾⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠁⣼⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣟⣿⢿⣿⣿⣿⣿⡿⠿⠛⠋ ⢾⣿⣿⣿⣿⣿⣛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣘⢂⡀⢀⠀⣀⠀⠈⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢐⡛⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣟⣿⣿⣿⣿⠟⠛⠉⠀⠀⠀⠀⠀ ⠿⠿⠿⠛⢹⣯⣿⣿⣿⢿⣛⣾⣿⣿⣿⣿⣧⣠⣠⣴⣶⣶⣬⠥⠶⣦⠀⠀⠉⠈⠿⠿⢿⣿⣿⣿⣿⡿⠂⡠⡤⠀⠐⠰⡦⠹⠾⢿⠿⢿⣿⣿⣿⣛⡿⢿⡿⠿⣿⣿⣿⣿⣿⣿⣟⡲⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣦⣤⣄⡀⠘⠿⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣢⣤⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠁⠀⢀⣀⣶⣀⣤⣈⣠⣶⣶⡗⠀⠀⢛⡟⢛⣻⣿⣗⠾⠿⣫⣍⢩⡝⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⣬⣿⣷⡄⠀⠼⢿⣿⣷⣏⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⠀⢠⣠⣀⣴⣶⣤⣠⣴⣶⣽⡚⢟⣿⢷⣿⢭⣾⣴⣮⣽⡟⣟⡙⠛⣽⡀⠀⠀⠀⠘⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣻⡿⠛⠛⠛⠛⠛⠋⠉⠉⠉⠁⠀⠀⡀⠀⣈⣆⡠⠤⣤⣤⣶⡶⠶⠶⢾⣟⣛⣛⣻⣿⣿⣭⣭⣿⣷⣶⣶⣶⣿⣿⣿⡇⣿⣷⣶⣭⣭⣭⣭⣭⣽⣶⣶⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢛⣋⣉⣉⡍⣉⣀⣤⣤⣤⣤⣴⣶⡶⣶⠾⠾⠿⠓⢣⣿⣶⣌⠙⡇⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢺⠨⠈⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣽⣿⣿⣟⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠁⢸⠟⠻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⠘⠈⣿⠚⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡯⠍⢁⣶⣶⢺⣿⣿⣿⣿⡀⣠⣤⡄⢠⣴⣶⣤⢸⣿⡶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠁⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣠⣾⡿⠉⣿⣿⣿⣿⣿⣧⣿⣿⡇⢸⣿⢸⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡟⣀⣼⣿⣿⡿⢻⣿⢿⣿⢹⣿⢸⣿⡍⣿⡇⢻⣿⢸⣿⠀⣿⣧⣤⢸⣿⡸⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡿⠋⠀⢸⣿⡘⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⠿⠟⠋⠉⠙⠀⠀⠀⠀⠀⠀⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⢤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣻⣿⣿⣿⡿⡿⠿⠿⡿⣾⣟⠋⢁⡀⠄⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢹⣿⡆⣾⡿⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠻⢿⣿⣿⣿⣿⣶⣶⣿⣿⣎⣂⣀⣀⣰⣷⣿⡄⠀⠀⣀⡀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⣤⡄⣿⣧⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⢀⢀⣀⡀⠤⢄⡀⣤⣤⣶⣦⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⣼⣿⣿⡀⠀⢿⣿⣿⣶⣿⣾⣿⣶⣶⣶ ⣿⣿⣿⡧⠀⢠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣧⣿⠇⠿⠿⠹⠿⠞⠟⢣⣿⣷⣶⣶⣶⣦⣤⣴⣤⣤⣌⠰⠆⠁⣿⣿⠿⠟⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⢰⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣟ ⣿⣿⣿⣷⠄⢸⣇⠀⠄⠀⢀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠿⠿⢿⣿⣿⣿⠿⠿⠿⠟⠛⠛⢚⣉⣉⡀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣟⡻⢿⣿⡟⠀⢀⣾⣯⣿⣟⠳⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠾⣿⣿⣿⣯⣄⡁⠀⢀⣀⡀⠀⠨⠅⢓⠖⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠲⠦⠌⠀⠀⠀⠀⠀⠀⣶⣶⣾⣿⠿⠿⠟⠀⡀⣀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣭⣶⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣩⣉⠀⠀⠀⠀⠀⠺⠟⠛⠿⢯⣤⣭⣉⣍⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣯⣿⣿⣓⡄⠀⠀⠀⠀⠀⣀⣀⣀⣀⣠⣤⣶⣶⣾⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠠⢾⠟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠋ ⣾⣿⣿⣿⣿⣿⣛⢿⣿⣿⣾⣿⣿⣿⣿⣿⣶⣦⣐⢂⡀⢀⠀⣀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣛⣲⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⠟⠛⠉⠀⠀⠀⠀⠀ ⠿⠿⠿⠛⠹⣯⣿⣿⣻⢿⣛⣾⣟⣻⣿⣿⣧⣠⣰⣴⣾⣶⣮⠥⠶⣢⡀⠀⠉⠉⠻⠿⢿⣿⣿⣿⣿⡿⠒⣀⡄⠀⠀⠐⠔⠀⠼⢻⡿⢿⣿⣿⣛⣛⣿⣿⢿⣿⢿⣿⣿⣿⣿⣿⣟⣰⡾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣤⣄⡀⠐⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣠⣤⡀⠀⠀⠀⠀⠀⠀⠈⠙⠋⠁⠀⠀⣀⢄⢠⣤⣄⣠⣷⣶⠊⡀⣈⣸⣟⠛⣻⣾⣗⠟⠛⣧⣌⣬⡙⠛⠉⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⣨⣿⣳⡄⠀⠸⢿⣿⣷⣏⣽⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⣀⣀⣠⢶⣦⡄⣴⣦⣶⣿⠿⡿⠷⡿⡏⣯⣬⣿⣿⣟⣾⠟⠛⢫⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠛⠛⠛⠉⠉⠉⠉⠁⠀⠀⣀⠀⣈⣧⡠⠤⣤⣴⣶⠶⢶⢶⣿⣟⣛⣛⣿⣿⣿⣭⣭⣿⣷⣶⣶⣶⣿⣿⣿⣇⣿⣿⣶⣮⣭⣭⣭⣭⣽⣶⣶⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢛⣋⣉⣉⡭⢉⣀⣠⣤⣤⣤⣴⣶⡶⡶⠾⠿⠿⢓⢐⣿⣷⣌⠙⢇⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⠈⣴⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠃⠸⠟⢿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⢽⡷⠛⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠍⠐⣲⣶⣞⣿⣿⣿⣿⡀⣠⣤⡄⢠⣴⣶⣤⢸⣿⡷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠈⠀⠀⠛⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣁⣀⣼⡿⠉⣿⣿⣿⣿⣿⣧⣿⣿⡇⢸⣿⢸⣿⡟⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡟⣁⣰⣿⣿⣿⢿⣿⢿⣿⢹⣿⢸⣿⡍⣿⡇⢻⣿⢸⣿⠀⣿⣧⣤⢸⣿⡸⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠟⠁⢸⣿⡘⣿⠸⠿⠈⠻⠿⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⠿⠟⠋⠉⠉⠀⠀⠀⠀⠀⢀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⢤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣻⣿⣿⣿⣿⣿⠿⠿⢿⢾⣿⡛⢉⡀⠤⠰⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⢹⣿⡆⣾⡟⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠻⠿⣿⣿⣿⣿⣶⣶⣯⣯⣦⣐⣀⣐⣐⣷⣿⠀⠀⢀⣀⡀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⣤⡄⣿⣧⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠤⡀⣠⣤⣴⣶⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣷⠀⠈⣿⣿⣿⣷⣾⣾⣿⣷⣶⣶ ⣿⣿⣿⣧⢀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣧⣿⠇⠿⠿⠹⠿⠞⠛⢃⣿⣷⣶⣶⣶⣶⣤⣤⣦⣤⣬⠐⡆⠁⢸⣿⡿⠿⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⢸⣿⣿⣿⡆⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⢦⠘⡿⠃⠂⠀⢀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⠿⠿⣿⣿⣿⡿⠿⠿⠟⠛⠛⠛⣁⣉⡀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣝⡻⢿⣿⣿⠀⠀⣼⣯⣽⣟⠻⠆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⢿⣿⣿⣿⣤⣙⠀⠀⣀⡀⠀⠈⠏⠁⠒⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠒⠶⠬⠁⠁⠀⠀⠀⠀⣰⣶⣾⣿⠿⠿⠿⠃⠀⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣦⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠈⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣉⣉⠓⠒⠀⠀⠀⠸⠿⠛⠛⠟⢨⣭⣍⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢶⡾⣿⣿⣿⣿⣿⣿⢿⡿⣿⣿⣿⡿⣿⣿⣿⣛⡦⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣤⣴⣶⣾⣿⣿⣿⣿⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣻⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⡿⣿⣿⣿⣿⣿⠿⠟⠛ ⡶⣿⢿⣿⣿⣿⣟⡿⣿⣿⣯⣿⣿⣿⣿⣿⣷⣶⣔⠓⣀⠀⡀⣀⡀⠀⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢘⡶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣻⣿⣿⣿⠿⠛⠋⠁⠀⠀⠀⠀ ⠿⠿⠿⠟⠉⣿⣽⣿⣿⢿⣟⣷⣟⣿⣿⣿⣷⣄⣄⣤⣶⣶⣮⡭⠴⢶⡄⠀⠈⠁⠹⠿⠿⣿⣿⣿⣿⣿⠗⢀⠠⢀⠀⠲⠂⠀⠐⠿⡿⣿⣿⣿⣝⢙⠛⢻⣿⢿⢿⣿⣿⣿⣿⣿⢿⣁⣾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⣤⣤⣀⠀⠻⠿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣐⣤⡄⠀⠀⠀⠀⠀⠀⠀⠙⠛⠉⠀⠀⢠⡀⢠⣶⣌⣠⣶⣶⣎⠆⢀⡐⣿⠛⢻⣿⣿⡾⠪⣤⡄⣀⡌⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⢫⣿⣿⣤⠀⠸⠼⣿⣷⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⢀⡀⣠⣴⣦⣠⢴⣶⣿⣾⡟⢻⣷⣯⣭⣷⣶⣯⣷⣿⡯⠟⠊⢻⡅⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⠛⠛⠋⠙⠉⠉⠉⠀⠀⠀⠀⣀⣧⡠⠤⣤⣤⣤⣾⡶⠶⠶⢾⣟⣛⣛⣻⣿⣿⣭⣭⣽⣷⣶⣶⣾⣿⣿⣟⢹⣷⣶⣮⣭⣭⣭⣭⣭⣶⣶⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠟⢛⣋⣉⣩⢍⣁⣀⣠⣤⣤⣤⣴⣶⣶⡶⠷⠾⠿⠘⣿⣷⣌⠙⢯⠀⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⢸⡸⠈⢹⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣽⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠃⠐⠾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡿⣟⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠠⣮⠞⠿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠭⠭⢤⣶⡖⣿⣿⣿⣿⡆⣠⣤⡄⢠⣴⣶⣤⠐⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠁⠀⠐⠛⡆⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣃⣀⣴⣿⠟⣿⣿⣿⣿⣿⣧⣿⣿⡇⢸⣿⢸⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⢃⣠⣿⣿⣿⢿⣿⢿⣿⢹⣿⢸⣿⡟⣿⡇⢻⣿⢸⣿⠀⣿⣧⣤⢸⣿⣸⣿⡟⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠟⠁⢸⣿⡘⣿⠸⠿⠈⠻⠿⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣻⣿⣿⣿⣿⡿⠿⠛⠉⠉⠃⠀⠀⠀⠀⢀⣀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⢤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣿⣿⣿⣿⣿⣿⠿⠿⢿⢿⣿⡛⢉⡀⠤⠰⠀⠀⠀⠐⠀⠀⠀⠀⠈⠁⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢹⣿⡆⣼⡿⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠻⠿⣿⣿⣿⣿⣶⣶⣬⣿⣦⣑⣀⣔⣀⣶⣆⠀⠀⣀⡀⠀⠀⢀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⣤⡄⣿⣧⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠠⠀⢠⣤⣤⣶⡈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢰⣿⣿⡄⠀⠹⣿⣿⣿⣷⣾⣶⣷⣶⣶⣶ ⣿⣿⣿⣿⠄⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣧⣿⠇⠿⠿⠹⠿⠞⠟⠃⣿⣷⣶⣶⣶⣶⣄⣤⣤⣤⣬⠁⠾⠁⢸⣿⡿⠿⠛⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⣼⣿⣿⣿⡀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣦⠀⣿⡁⠂⠀⢀⠀⡀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠠⠿⠿⠿⣿⣿⣿⣿⠿⠿⠿⠛⠛⠓⣂⣉⡀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣽⣛⠿⣿⣿⣿⠀⠀⣿⣭⣽⣻⠿⠄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⣿⣿⣿⣿⣧⡘⠀⠀⢀⡀⠀⠈⠥⠐⠲⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠴⠤⠁⠉⠀⠀⠀⠀⢰⣶⣶⣿⡿⠿⠿⠇⡀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣈⣍⣀⣀⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣈⣉⠁⠐⠀⠀⠀⠸⠿⠛⠛⠟⢁⣭⢍⣉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⣶⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡿⣿⣿⣿⣛⡦⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣤⣴⣶⣶⣿⣿⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⡿⢿⣿⣿⣿⣿⠿⠟⠛ ⣶⣿⣿⣿⣿⣿⣟⡿⣿⣿⣧⣿⣿⣿⣿⣿⣷⣶⣌⡓⣀⠀⡀⢀⡀⠀⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣓⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣻⣿⣿⣿⡿⠛⠋⠁⠀⠀⠀⠀ ⠿⠿⠿⠿⠋⢿⣽⣿⣿⡿⣟⣳⣿⣿⣿⣿⣿⣄⣤⣤⣶⣶⣦⡭⠴⢶⡄⠀⠈⠁⠹⠿⠿⣿⣿⣿⣿⣿⠗⠀⡀⠀⠀⠐⠒⠀⠬⢾⡿⣿⣿⣷⣟⡛⠛⢻⠿⣿⣿⣿⣿⣿⣿⣿⡿⣣⣞⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⣤⣤⣀⠀⠺⠿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣔⣤⡄⠀⠀⠀⠀⠀⠀⠀⠙⠛⠋⠀⠀⣠⡄⢀⣠⣄⣀⣴⣶⡾⠂⢀⣠⣯⠛⢻⣿⣿⣽⠙⢙⢁⠀⣉⠛⠋⠁⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⢿⣿⣿⣦⠀⠀⠼⣿⣷⣿⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀⠀⠀⠀⢀⣀⣠⣴⣶⣤⢠⣶⣶⢥⠸⠿⣄⣾⣿⡣⡠⢬⣿⣮⡪⠍⠿⠑⠅⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⠛⠛⠉⠉⠉⠉⠉⠀⠀⢀⠀⢀⣱⣀⠤⢤⣤⣶⡶⠶⡶⣶⣟⣛⣛⣿⣿⣯⣭⣭⣿⣷⣶⣶⣶⣿⣿⣿⣿⢸⣿⣿⣶⣭⣭⣭⣭⣷⣶⣶⡆⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠟⢛⣉⣉⣩⠍⣁⣀⣠⣤⣤⣤⣴⣶⢶⠶⠿⠿⠟⠂⣾⣿⣦⡉⢻⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⢡⣾⣿⣶⣾⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣟⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⣷⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠀⢿⣿⣿⣿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⢹⠟⠛⣿⣿⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡯⠍⢒⣶⣶⣻⣿⣿⣿⡇⣠⣤⡄⢠⣴⣶⣤⠀⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠈⠉⠛⣘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣟⣀⣠⣿⠟⣿⣿⣿⣿⣿⣷⣿⣿⡇⢸⣿⢸⣿⡇⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⢏⣀⣾⣿⣿⣿⣿⢿⣿⢹⣿⢸⣿⡍⣿⡇⢻⣿⢸⣿⠀⣿⣧⣤⢸⣿⡸⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡿⠋⢸⣿⡘⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⡿⡿⠿⠛⠉⠉⠁⠀⠀⠀⠀⠀⣀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⢤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⣿⣿⣿⣿⣿⡿⡿⢿⡿⣿⣛⠉⣀⡀⡄⠆⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢹⣿⡆⣼⡟⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠿⢿⣿⣿⣿⣷⣶⣶⣯⣥⣌⣒⣐⣂⣾⠀⠀⣠⡀⠀⢀⡀⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⣤⡄⣿⣧⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⣀⣀⣀⡠⠄⠠⣀⢠⣤⣴⣶⣆⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣧⠀⠈⠻⣿⣿⣿⣿⣿⣶⣷⣿⣿⣿⣶ ⣿⣿⣿⣿⡤⡀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣧⣿⠇⠿⠿⠹⠿⠞⠟⠃⣻⣷⣶⣶⣶⣶⣆⣠⣶⣦⣤⡅⢒⠈⠀⣿⢿⠿⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣷⣄⠀⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣻⣿⣿⣿⡷⡄⢹⠟⠑⠀⠀⣀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠿⢿⣿⣿⡿⠿⠿⠿⠛⠛⠋⣉⣉⣀⠀⠀⠀⣀⣼⣿⣿⣿⣿⣯⣽⣛⠿⢿⣿⣧⠀⠀⣿⣿⣻⡿⣷⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠿⣿⣿⣿⣯⣌⡃⠀⢀⣀⠀⠀⠸⠉⢓⠂⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠲⠦⠁⠀⠀⠀⠀⠀⢀⣶⣶⣿⠿⠿⠟⠛⠀⣀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⣉⣀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣉⡐⠂⠀⠀⠀⠀⠟⠛⠛⠻⠁⢠⣤⣭⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠾⣾⣿⣯⣿⣿⣿⣿⡽⣿⢿⣿⣿⣿⢿⣭⣿⣟⣳⠄⠀⠀⠀⠀⠀⣀⣀⣀⣀⣤⣴⣶⣶⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠩⠿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣛⣿⣿⢿⣿⣿⣿⠿⠟⠛ ⣶⠾⡿⣿⣿⣿⣿⣛⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣦⠘⢂⡀⢀⢀⣀⠀⠈⠙⣿⣿⣿⣿⣽⣿⣿⣿⣿⣇⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣛⣤⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀ ⠿⠟⠿⠿⠋⢹⣭⣿⣿⡿⣿⣳⣾⣻⣿⣿⣿⣦⣠⣠⣶⣿⣶⣼⠕⠶⣦⠀⠀⠉⠈⠿⠿⢿⣿⣿⣿⣿⠟⠂⡀⠄⠀⢀⣶⠒⠒⠻⣿⠿⢿⣿⣏⣉⣹⣛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣃⣶⠾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣦⣦⣄⠀⠘⠻⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⣤⠀⠀⠀⠀⠀⠀⠀⠈⠙⠉⠀⠀⠀⡄⠀⢰⣦⣬⣴⣶⡶⡄⠀⢠⣿⡋⠙⣼⣿⣫⠓⢂⣤⡄⢄⠙⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡝⣟⣻⣷⡄⠄⠤⢿⣷⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⡠⣀⡴⣶⡆⠤⣶⣼⡗⣞⠟⡛⢛⢿⣿⢯⣔⣽⣯⣗⠾⠉⠫⢥⠀⠀⠀⠀⠈⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣻⡿⠛⠛⠛⠋⠉⠉⠉⠉⠉⠀⠀⣀⡀⠀⣘⣤⠤⠤⣴⡶⠶⢶⣶⣿⣛⣛⣿⣿⣯⣭⣭⣭⣿⣷⣶⣶⣾⣿⣿⣿⣷⠆⣿⣿⣷⣶⣭⣭⣽⣶⣶⣶⣇⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠟⣛⣋⣉⣡⡍⣁⣠⣤⣤⣤⣶⣶⣶⠶⠶⠿⠿⠛⡃⣻⣿⣶⣌⠹⡄⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⣧⡏⠀⣾⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠋⢀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠿⠿⣻⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠐⣷⠛⠛⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡟⠛⢒⣶⣶⢺⣿⣿⣿⣿⣠⣤⡄⢠⣴⣶⣤⠀⣾⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠈⠉⠛⣟⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⣟⣀⣤⣾⡟⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⢸⣿⡇⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⢏⣀⣼⣿⣿⣿⣿⢿⣿⢹⣿⢸⣿⡍⣿⡇⢻⣿⢸⣿⠀⣿⣧⣤⢸⣿⡸⣿⡏⣿⠿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡿⠋⢸⣿⡘⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⡿⡿⡿⠿⠛⠉⠉⠉⠀⠀⠀⠀⠀⣀⢀⣼⡇⠀⡅⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⢤⣶⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣟⢾⢟⠉⢀⣀⣀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠋⠈⠉⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢹⣿⡆⣸⡟⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠻⢿⣿⣿⣿⣿⣶⣶⣾⣭⣬⣄⣐⣤⣶⠀⠀⣄⠀⠀⣤⣄⠀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⣤⡄⣿⣧⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⢀⣀⡀⠠⢤⠄⣄⡀⣤⣶⣶⣇⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⡄⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡧⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣧⣿⠇⠿⠿⠹⠿⠞⠟⠃⢻⣷⣶⣶⣶⣿⣦⣴⣶⣦⣤⣄⣘⠃⠀⣿⢿⠟⠛⠱⢿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣄⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣹⣿⣿⡿⣿⣆⠸⡧⠈⠄⠀⠀⠀⣀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⠿⢿⣿⣿⡿⠿⠿⠛⠛⠛⢉⣉⣈⣀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣭⣟⣻⠾⣿⣯⡀⠀⢹⣿⢿⣷⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠿⢿⣿⣿⣯⣤⣉⢀⣀⣀⣀⠀⠈⠉⠉⠒⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠒⠦⠀⠀⠀⠀⠀⠀⠀⣶⣾⣿⠿⠿⠛⠛⠠⣄⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣨⣠⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣅⣐⠂⠀⠀⠀⠀⠛⠛⠛⠛⠁⠠⣄⣄⣼⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⢿⣿⣿⣿⣿⣿⣿⣽⣽⣿⣯⣿⣿⡿⣯⣿⠿⣛⡄⠀⠀⠀⠀⠀⠀⣀⣠⣠⣤⣶⣶⣾⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠏⠀⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣟⣿⣿⡿⣿⣿⠿⠿⠟⠋ ⣷⡾⣿⣿⣿⣿⣿⣛⣻⣿⣿⣾⣿⣿⣿⣿⣿⣿⢧⠤⠁⣀⠀⣀⣀⡀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣵⣾⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠁⠀⠀⠀⠀ ⠛⠛⠻⠛⠚⠙⣯⣿⣿⣻⣿⣫⣿⣿⣿⣿⣿⣷⣤⣒⣞⣿⣷⡶⠖⠲⠶⠀⠀⠈⠈⠻⠿⠿⣿⣿⣿⣿⠟⠃⠀⠀⠀⠀⠶⠀⠐⠒⠻⠿⠿⢿⣆⣭⣈⠛⡟⠿⠿⣿⣿⣿⣿⣿⣿⣭⡥⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣶⣶⣤⠄⠈⠛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣥⣴⡀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⢄⡀⢠⢴⣤⣤⣷⣖⡂⠀⢀⣲⣉⠉⣿⣾⣦⠒⠒⢦⠤⣀⡘⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣽⡌⢫⣒⣾⡆⠈⠀⠹⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⡃⠀⠀⠀⠀⠀⣤⣄⠴⢶⡦⣤⣶⣾⢯⡖⠛⠿⡎⡽⡷⣣⣶⡿⣿⠧⠇⠕⠛⢻⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠛⠋⡉⠉⠈⢉⠁⠀⢀⡀⢀⡀⠠⣼⣦⡤⠴⠶⣶⣶⣿⣛⣛⣛⣿⣯⣭⣭⣭⣭⣿⣶⣶⣿⣿⣿⣿⣿⣿⣾⣌⣿⣿⣿⣶⣶⣶⣶⣶⣶⣿⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢛⣋⣉⣉⣤⣆⣨⣤⣤⣤⣶⣶⡶⠾⠿⠿⠿⠛⠛⡃⡹⣿⣶⣌⠙⢄⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⣿⣿⣿⣷⠇⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⣉⡀⣽⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠿⠿⢿⣻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠺⠏⠉⣹⣿⣿⡳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡟⠒⢒⣶⣶⣹⣿⣿⣿⣇⣠⣤⡄⢀⣴⣶⣤⠀⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠈⠀⠙⠛⣼⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣤⣤⣿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣇⢸⣿⣸⣿⡇⣿⣿⢿⣿⠿⣿⡿⠿⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⢏⣤⣾⣿⣿⢿⣿⢿⣿⢹⣿⢸⣿⡌⣿⡇⢻⣿⢸⣿⠀⣿⣧⣤⢸⣿⠸⣿⡆⣿⠿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡟⠁⢸⣿⡘⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣯⣿⣿⣿⡿⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⣀⣠⣾⡇⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⣴⣶⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠻⠿⣿⣿⣿⣿⣟⣻⣻⣏⣿⠏⠁⢄⣀⡂⠂⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢹⣿⡆⣸⡿⣿⡆⢸⣿⣼⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⣿⣿⣿⣿⣿⣶⣾⣿⣦⣤⣤⣤⡆⠀⠀⠀⠀⣤⣤⣤⣤⣄⣠⣀⣀⠀⡀⠀⠀⠀⠀ ⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⣤⡄⣿⣧⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⣀⣀⠀⠤⣄⠂⣂⠀⣶⣶⣾⣧⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠸⣄⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡧⠀⢰⣄⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣧⣿⠇⠿⠿⠹⠿⠞⠟⠃⢻⣷⣶⣿⣿⣿⣦⣶⣶⣶⣦⣆⣘⠃⠀⡿⠿⠛⠋⠙⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⡄⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣻⣿⣿⡿⣿⣆⠸⡧⠈⠀⠀⠄⠀⣀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠚⠟⠿⢿⡿⠿⠿⠻⠛⠛⠛⢉⣉⣉⣀⣠⠀⠀⠀⣀⣼⣿⣿⣿⣿⣿⣿⣝⣛⡿⢯⣭⠀⠀⠹⣿⣦⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠛⠻⢿⣿⣿⣿⣤⣁⣀⣀⣤⣀⠀⠘⠉⠍⠓⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠈⠐⠓⠂⠀⠀⠀⠀⠀⠀⣿⣿⠿⠿⠛⠛⠛⠠⣄⣤⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣤⣼⣷⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣴⣆⡀⠀⠀⠀⠀⠛⠛⠉⠛⠂⢐⣒⠦⣬⣽⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠻⢿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣻⣿⣿⠯⠿⣂⠀⠀⠀⠀⠀⠀⣤⣤⣤⣴⣶⣾⣿⣿⣿⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⡉⠃⠩⣿⣿⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣟⣿⣿⣿⠿⠟⠛⠉ ⣿⣿⣟⣿⣿⣿⣿⣝⣻⣿⣿⣿⣿⣿⣿⣿⣿⡿⠷⠌⠡⠀⠠⢀⡤⠀⠀⠈⠿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣙⣹⣽⣿⡿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⠿⣽⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀ ⠛⠛⠛⠛⠋⠘⣷⣿⣿⣿⣻⣭⣿⣿⣿⣿⣿⣷⣴⣶⣾⣿⣷⡶⠒⠋⠧⠀⠀⠀⠀⠛⠛⠻⢿⣿⣿⡿⠛⠁⡀⠀⠀⠠⣥⠈⡙⠋⡸⠛⠛⠿⣧⣩⠝⢉⡺⣟⣿⣿⣿⣿⣿⣿⣿⢬⣼⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⣾⣶⣦⠄⠈⡚⢋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣵⣶⡀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠠⠤⠀⢀⣲⣦⢼⣿⣾⠋⣀⣀⣉⣏⡉⠿⣿⣿⠏⠑⠆⠄⢠⠌⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡄⣩⣸⣿⠆⠀⠀⠙⣿⣿⣯⣾⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⡛⠀⠀⠀⠀⠀⠐⣶⢤⣶⣿⣦⣶⣿⣿⣿⣩⠙⠛⢘⠩⡝⣳⣻⣯⢿⢷⠞⠓⠉⢴⠀⠀⠀⠀⠈⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⠿⠿⠋⠉⠉⠉⠀⠀⠀⠀⡀⣀⣀⢀⣀⡀⢤⣵⣤⠒⠶⣶⣶⣾⣛⣛⣛⣻⣿⣭⣭⣭⣭⣿⣷⣶⣾⣿⣿⣿⣿⣿⣷⡾⣸⣿⣿⣷⣶⣷⣿⣶⣶⣶⣾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣛⣉⣭⣤⣤⣔⣠⣤⣤⣶⡶⠶⠶⠿⠿⠿⠟⠛⠛⢋⢈⠿⣿⣦⣈⠳⣀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣯⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣜⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⣉⡁⢀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡿⠿⠿⠟⣯⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠘⣿⡇⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⢺⠏⠉⣻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡿⠀⠀⣼⣿⢋⣿⣿⣿⣿⣧⣤⡄⢠⣴⣶⣤⠀⣶⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠈⠈⠙⠛⢻⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣥⣤⣾⡿⣿⣾⣿⣿⣿⣿⣿⣿⣇⢸⣿⢸⣿⡆⣿⣿⢿⣿⠿⣿⡿⠿⢿⣿⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢈⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣤⣴⣿⣿⣿⣿⢿⣿⢹⣿⢸⣿⡌⣿⡇⢻⣿⢸⣿⠀⣿⣧⣤⢸⣿⠸⣿⡆⣿⠟⢿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡿⠋⢸⣿⡘⣿⠸⠿⠈⠻⠿⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⢿⠿⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⣴⣶⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣻⡟⡋⠡⣀⣀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠨⠏⠉⠉⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⢹⣿⡆⣼⡟⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⣿⣿⣿⣿⣷⣶⣶⣯⣥⣥⣂⣒⣀⠀⠀⠀⢠⣤⣤⣀⡀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⣠⡄⣿⣧⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⣀⡀⠠⠤⡀⢐⡀⢠⣶⣶⣾⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣶ ⢻⣿⣿⣿⣿⠂⠀⣦⡀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣧⣿⠇⠿⠿⠹⠿⠞⠟⠃⢛⣷⣶⣿⣿⣿⣷⣤⣶⣶⣤⣤⣀⡃⠀⢸⠿⠟⠛⠋⠺⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣬⣿⣿⣿⣿⣷⡀⢿⠀⠑⠀⠀⠀⢤⡀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠘⠻⠻⠿⣿⠿⠿⠿⠟⠛⠛⠛⢋⣉⣁⣀⡀⠀⠀⢀⣠⣿⣿⣿⣿⣿⣭⣟⣻⠿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠚⠛⢻⣿⣿⣿⣶⣤⣀⣀⣤⣤⣀⡁⠒⠈⠙⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠚⠒⠀⠀⠀⠀⠀⠀⢸⣿⣿⠿⠿⠛⠛⠃⢠⣀⣼⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣀⣁⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣤⡀⠀⠀⠀⠀⠘⠛⠛⠛⠃⠠⡀⠀⠤⣙⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠙⠛⣿⣿⣷⣿⣿⣿⣿⣿⣿⡿⣿⣿⣟⣿⣾⡿⠭⢗⡀⠀⠀⠀⠀⠀⢠⣤⣤⣤⣶⣶⣿⣿⣿⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⢰⣿⣾⣿⣅⣹⣿⣷⣾⣿⣿⣿⣿⣿⡿⢿⣟⣻⣿⣿⢿⣿⣿⣿⠿⠟ ⣿⣟⣻⣻⡿⣿⣿⣯⣽⣿⣿⣿⡿⣿⣿⣿⣿⡿⠿⠦⠉⠤⠠⠄⣠⠄⠀⠈⠹⢿⡿⣿⣿⣿⣿⣿⣿⣿⣀⡀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⢀⣶⣻⣿⣹⢯⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣻⣿⣿⣿⠿⠟⠉⠁⠀⠀⠀ ⠉⠙⠙⠛⠋⠀⣻⣾⣯⣯⣿⣯⣽⣯⣭⣿⣿⣿⣦⣶⣶⣽⣿⣷⠖⠒⠳⠆⠀⠀⠀⠘⠛⠛⠿⣿⣿⣿⠟⠛⠀⠀⠀⠀⠀⠆⠀⠉⠚⠻⠻⢿⢏⢠⣭⢁⠊⠻⢿⢿⣿⣿⣿⣿⣿⣿⣱⡾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣾⣿⣷⢤⡀⢈⣉⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣬⣶⡆⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⢠⣤⣤⢾⣶⡀⠀⠀⣨⣁⡈⠑⢿⣧⠄⠀⠆⠤⣀⣀⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣲⣤⠈⣀⣽⡇⠐⠀⠀⢻⣿⣿⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠃⠀⠀⠀⠀⠀⣤⠤⣰⡶⣶⡴⣲⢦⢇⠀⠐⠙⢙⣇⣋⠂⡀⣲⣯⡆⣳⠀⠋⢑⡀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡿⠿⠋⠉⠉⠉⠀⠀⠀⠀⡀⣀⣀⢀⢠⡀⠠⣽⣤⠒⢲⣶⣾⣛⣻⣟⣿⣿⣭⣭⣭⣿⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⣽⣿⣸⣿⣿⣿⣶⣶⣶⣶⣶⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣛⣉⣩⣤⣤⣴⣀⣤⣴⣶⡶⠶⠾⠿⠿⠻⠟⠛⠛⢉⠉⡿⣿⣶⣌⠹⣠⣼⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘⣻⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠐⠛⠛⣿⣿⣿⣷⣤⣁⣀⣤⣤⣀⣀⠐⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠀⠀⠀⠀⠀⠀⢸⣿⡿⠿⠟⠛⠛⠃⣄⣀⣼⣿⡿⢿⣿⣿⣿⣿⣿⣷⣶⣤⡀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣤⣄⠁⠀⠀⠀⠘⠛⠉⠙⠋⠀⠀⠀⠀⣈⣛⣻⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠙⠛⢿⣿⣷⣿⣿⣿⣿⣾⣿⡿⣾⣿⣿⣻⣾⣿⠯⠵⡀⠀⠀⠀⠀⠀⠠⣤⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⡇⣙⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣿⣛⣿⣻⣿⣿⡿⠿⠟⠛ ⣿⣿⣛⣿⡿⣿⣿⣯⣽⣿⣿⣧⡿⢿⣿⣿⣿⣿⠟⠶⠍⠤⡄⠤⢠⠄⠀⠀⠙⠿⡿⣿⣿⣿⣿⣿⣿⣿⣄⡀⠄⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⡶⢿⢿⠿⠫⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⠭⣿⣿⣿⠿⠛⠉⠀⠀⠀⠀ ⠋⠙⠉⠛⠋⠁⢸⣾⣯⣯⣿⣯⣽⣿⣽⣿⣿⣿⣦⣾⣴⣽⣽⣿⡟⠋⠋⠆⠀⠀⠀⠈⠛⠛⠿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠘⠘⠀⠀⠈⠛⠛⠿⠓⣠⣄⣁⡈⡙⠛⠛⢿⣿⣿⣿⣿⣻⣡⡾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣾⣿⣷⢶⣄⠈⡉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣆⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠄⠀⣰⣶⣤⠼⣷⡆⠄⠠⣀⢩⡉⢩⣿⣿⠇⠁⠄⠠⠄⣤⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢒⣤⠈⣀⡼⣗⠀⠀⠀⢻⣿⣿⣶⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣟⠣⠀⠀⠀⠀⠀⣦⣦⣴⠞⢿⠦⣶⣾⣵⣧⡀⠛⢓⡞⣃⠳⣂⢲⡏⢞⢫⠘⠈⠃⡃⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡿⠿⠋⠉⠉⠉⠉⠀⠀⠀⠀⢀⣀⠀⢠⡀⠠⣼⣤⠒⠲⣶⣾⣟⣛⣟⣛⣻⣯⣭⣭⣽⣿⣷⣶⣶⣿⣿⣿⣿⣿⣿⣽⣿⣨⣿⣿⣿⣶⣶⣶⣶⣶⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢛⣋⣩⣭⣤⣴⣂⣤⣤⣶⡶⠶⠶⠿⠿⠿⠟⠛⠛⢋⡉⡾⣿⣶⣌⠹⢀⣼⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣙⣺⣿⣿⣿⣿⣿⣿⣿⢿⡿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡂⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⡼⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⣙⠁⠀⣿⣿⣿⣿⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠿⠿⠟⣻⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠃⠚⡿⠉⢉⣿⣿⣿⣿⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠖⠂⣰⣿⢟⣽⣿⣿⣿⣧⣤⡄⢠⣴⣶⣤⠀⣶⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠁⠈⠟⠛⢛⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣧⣤⣴⣿⣿⣼⣿⣿⣿⣿⣿⣿⣇⢸⣿⣸⣿⡆⣿⣿⢿⣿⠿⣿⡿⠿⢿⣿⢿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠈⠁⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣡⣤⣿⣿⣿⣿⢿⣿⢹⣿⢸⣿⡌⣿⡇⢻⣿⢸⣿⠀⣿⣧⣤⢸⣿⠸⣿⡆⣿⡟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⠏⢸⣿⡘⣿⠸⠿⠈⠻⠿⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣽⣿⣿⣿⠿⠟⢃⡀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⣴⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠹⠿⣿⣟⣿⣿⣛⣛⣻⣳⡿⠉⠁⢄⣐⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠷⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⢹⣿⡆⣾⡟⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠻⢿⣿⣿⣿⣿⣷⣶⣿⣿⣬⣤⣤⡄⠀⠀⢠⣦⣤⣤⣤⣤⣀⣀⣀⣀⣀⢀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⣤⡄⣿⣧⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⣀⡀⠄⢤⡀⠐⣀⢰⣶⣶⣿⣤⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿ ⢸⣿⣿⣿⣿⡆⠀⣦⠀⡀⠀⠀⠀⠀⠀⠀⠘⢿⣧⣿⠇⠿⠿⠹⠿⠞⠛⠃⠛⣷⣾⣿⣿⣿⣿⣶⣶⣶⣦⣴⣄⡋⠀⢸⡿⠟⠛⠋⠙⢛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣤⣹⣿⣿⣿⣟⡀⢻⡃⠀⠀⠀⠀⠠⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠻⠛⡛⣿⠿⠿⠿⠛⠛⠛⠋⢉⣉⣁⣀⡀⠀⠀⠀⣠⣿⣷⣾⣽⡓⠿⣽⣛⡿⢿⡏⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠛⠛⣿⣿⣿⣷⣤⣁⣀⣠⣤⣀⡀⠚⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠒⠀⠀⠀⠀⠀⠀⢸⣿⡿⠿⠟⠛⠛⠃⢄⣀⣼⣿⡿⢿⣿⣿⣿⣷⣮⡍⠛⠷⠄⠀⢠⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣤⣄⠀⠀⠀⠀⠘⠛⠋⠉⠋⠀⠂⠀⠀⣠⣹⣻⣷⣀⢀⠀⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠙⠛⣿⣿⣷⣿⣿⣿⣿⣾⣿⡿⣿⣿⣿⣻⣾⡿⠯⠷⡀⠀⠀⠀⠀⠀⠠⣤⣤⣤⣶⣶⣿⣿⣿⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣯⣽⣿⣾⣷⣿⣿⣿⣿⣿⣛⣻⣿⣟⣛⣿⣿⣿⡿⠿⠿⠛ ⣿⣿⣛⣻⡿⣿⣿⣯⣝⣿⣿⣯⡿⣿⣿⣿⣿⣿⠿⠶⠍⠤⡀⠄⣠⠄⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣄⡀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠈⣀⣄⠐⢿⣿⡟⠤⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⠭⣿⣿⣿⠿⠛⠉⠀⠀⠀⠀ ⠛⠛⠙⠛⠋⠁⢹⣾⣯⣯⣿⣯⣽⣿⣭⣿⣿⣿⣦⣶⣶⣽⣿⣷⠖⠒⠩⠆⠀⠀⠀⠈⠛⠛⠿⣿⣿⣿⠿⠛⠀⠀⠀⠀⠐⠁⠀⠀⠀⠛⠛⠿⣟⣠⣄⣈⠉⡙⠻⢻⢿⣿⣿⣿⣿⡟⣁⣜⠗⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣶⣷⣶⢦⡄⢈⡙⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣶⣆⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⣰⣦⣤⡼⣷⡇⠀⠀⡀⢫⠉⠙⣿⢵⣊⠀⠁⠤⠀⣀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢂⣤⠈⣀⣬⣗⠀⠀⠀⢻⣯⣿⣶⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⢿⣿⣿⣟⠟⠀⠀⠀⠀⠀⢴⡤⠠⠲⣶⡶⢰⣴⣵⡴⠈⠛⠑⠙⡛⢣⣢⣗⣼⠓⠂⠓⠁⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠉⠉⠉⠉⠉⠈⠀⠀⠀⣀⢀⣀⡀⠠⣵⣤⠒⠲⣶⣶⣾⣛⣛⣛⣻⣯⣭⣭⣭⣿⣷⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣷⣶⣶⣶⣶⣶⣿⣿⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠛⣛⣉⣭⣥⣤⣂⣤⣤⣴⣶⣶⡶⠾⠿⠿⠿⠟⠛⢛⠈⠿⣿⣦⣈⠳⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘⣻⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢘⣗⡂⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⡼⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠸⣟⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠁⠀⣿⣿⣿⣿⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡿⠿⠿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠗⠰⣾⠖⠒⣦⢿⣿⣿⣿⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠓⠒⣲⣾⢏⣿⣿⣿⣿⣧⣤⡄⢠⣴⣶⣤⠀⣶⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠁⠀⠒⠛⢬⡟⠛⢻⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣧⣤⣴⡿⣿⣼⣿⣿⣿⣿⣿⣿⣇⢸⣿⢸⣿⡆⣿⣿⢿⣿⠿⣿⡿⠿⢿⣿⢿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣡⣤⣿⣿⣿⣿⢿⣿⢹⣿⢸⣿⡌⣿⡇⢻⣿⢸⣿⠀⣿⣧⣤⢸⣿⠸⣿⡆⣿⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⠏⢸⣿⡘⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣽⣿⣿⣿⠿⣁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⣽⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⢴⣶⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠻⢿⣿⣿⣿⣿⣛⣿⣿⣳⡿⠉⠠⣄⣐⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⢹⣿⡆⣾⡟⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⢿⣿⣿⣿⣿⣷⣶⣿⣧⣤⣤⣄⠀⠀⠀⣤⣦⣤⣤⣤⣤⢄⣀⣀⣀⣀⢀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⣤⡄⣿⣧⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⣠⡠⠤⠤⡀⢐⡀⢰⣶⣶⣿⣌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢹⣿⣿⣿⣿⠀⠀⣦⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣧⣿⠇⠿⠿⠹⠿⠞⠟⠃⠛⣷⣶⣾⣿⣿⣿⣴⣶⣶⣤⣦⣀⡋⠀⢸⠿⠟⠛⠋⠛⢛⣻⢿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣪⣿⣿⣿⣿⣷⡀⢿⠄⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠻⠿⣿⠿⠿⠟⠟⠛⠛⠛⢋⣈⣁⣀⡀⠀⠀⢀⣠⣶⣍⠛⠿⣾⣽⣝⣻⠟⠀⠀⡀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡘⠛⠻⣿⣿⣿⣷⣌⣁⣀⣠⣄⡀⠀⠊⠉⠑⠂⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠚⠒⠀⠀⠀⠀⠀⠀⢰⣿⡿⠿⠿⠛⠛⠃⢤⣀⣼⣿⣿⣿⡗⠤⠌⠛⠿⠿⠃⠀⣀⣀⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣂⠀⠀⠀⠀⠘⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠛⠻⣿⣿⣽⣿⣿⣿⣯⣽⣿⡿⣿⣿⣟⣿⣿⡿⠽⢗⡀⠀⠀⠀⠀⠀⢠⣤⣤⣤⣶⣶⣿⣿⣿⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣶⣶⣶⢀⣶⣾⣾⣿⣿⣿⣿⣿⣛⣻⣟⣻⣻⣿⣿⣿⡿⠿⠟⠛ ⣾⣶⣿⣻⣿⣿⣿⣯⣛⣿⣿⣿⡿⣿⣿⣿⣿⣿⠿⠦⠍⠠⠀⠄⣠⠄⠀⠈⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣀⡀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠨⣿⠟⠇⢯⣧⣿⣿⣿⣿⣿⣿⣭⣿⣿⠯⣿⣿⡿⠿⠛⠉⠀⠀⠀⠀ ⠛⠛⠛⠛⠋⠁⢻⣾⣿⣯⣟⣯⣽⣽⣿⣿⣿⣿⣦⣶⣶⣿⣿⣶⠶⠒⠡⠆⠀⠀⠀⠘⠛⠛⠿⣿⣿⣿⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⢄⣀⣀⠀⢙⠛⠻⠿⣿⣿⣿⣿⣿⣿⣅⡴⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣶⣷⣶⢤⡀⠈⠛⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣬⣴⣆⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠠⣤⡤⢰⣶⡈⠀⠀⡠⢪⡉⠹⣷⣷⠌⠈⠠⠤⠀⣄⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣤⠉⣀⣮⡇⠀⠀⠀⢻⣿⣿⣴⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⣤⡄⢀⠶⣶⢀⣴⣆⡤⠖⠘⠛⠓⠡⠑⠐⢤⣲⡟⣘⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⠋⠉⠉⠉⠈⠉⠀⠀⣀⢀⣀⡀⠠⣵⣤⠖⠲⢶⣶⣾⣟⣛⣛⣛⣿⣭⣭⣭⣽⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣷⣶⣶⣶⣶⣶⣾⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠛⣛⣉⣭⣥⣤⣂⣤⣤⣤⣴⣶⣶⠶⠿⠿⠿⠟⠛⢛⠈⢿⣿⣦⣈⠳⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣙⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⢘⣗⡂⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⡾⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠸⣟⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠟⠛⠁⠀⣿⣿⣿⣿⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡿⠿⠿⣻⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠅⣴⣦⠶⢤⡄⢿⣿⣿⣿⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠓⠒⣲⣶⢖⣿⣿⣿⣿⣧⣤⡄⢠⣴⣶⣤⠀⣶⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠙⠁⠀⠰⠃⣼⡟⠛⢻⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣧⣤⣴⣿⣿⣼⣿⣿⣿⣿⣿⣿⣇⢸⣿⢸⣿⡆⣿⣿⣿⣿⢿⣿⡿⠿⢿⣿⢿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣁⣤⣿⣿⣿⣿⢿⣿⢹⣿⢸⣿⡌⣿⡇⢻⣿⢸⣿⠀⣿⣧⣤⢸⣿⠸⣿⡆⣿⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⠟⢸⣿⡘⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣽⣿⣿⣿⢯⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⢴⣶⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠿⢿⣿⣿⣿⣿⣻⣿⣿⣱⡿⡋⠡⣈⣐⡐⠀⠀⠀⠀⠀⠀⡀⠀⠀⣤⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⢹⣿⡆⣾⡟⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠻⢿⣿⣿⣿⣿⣶⣶⣯⣥⣤⣴⡀⠀⠀⢰⣧⣦⣤⣬⣤⣄⢀⣀⣀⣀⣀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⣤⡄⣿⣧⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⣀⡀⠠⠤⡀⢐⣀⢠⣶⣶⣾⣌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢻⣿⣿⣿⣿⠀⠀⣦⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣧⣿⠇⠿⠿⠹⠿⠞⠛⠃⠛⣷⣶⣶⣾⣿⣷⣴⣶⣶⣤⣤⣀⡃⠀⢸⠿⠿⠛⠋⠚⢻⠿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣈⣻⣿⣿⡿⣷⡀⢿⠄⠁⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⠿⣿⣿⠿⠿⠿⠛⠛⠛⢋⣉⣁⣀⡀⠀⠀⠀⣠⣍⠛⠿⣿⣯⣭⣟⡿⠃⠀⢀⡄⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠘⠛⠿⣿⣿⣿⣧⣌⣁⣀⣠⣄⡀⠀⠊⠉⠙⠂⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠑⠒⠒⠀⠀⠀⠀⠀⠀⢰⣿⣿⠿⠿⠛⠛⠃⢤⣀⣼⣿⢿⣿⢂⠨⡙⠛⠿⠿⠀⠀⣀⣀⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣂⠀⠀⠀⠀⠘⠛⠋⠉⠃⠀⠂⠀⠀⠀⠀⠀⠀⠀⠈⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠛⠿⣿⣿⣽⣿⣿⣿⣯⣽⣿⣿⣿⣿⣟⣿⣯⡿⠿⢷⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣴⣶⣶⣿⣿⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣦⣶⣄⡀⣴⣾⣷⣿⣿⣶⣿⣿⡟⣻⣟⣛⣿⣿⣿⣿⡿⠿⠿⠛ ⣾⣷⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠦⠈⠀⠀⠀⣀⡄⠀⠈⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢐⠼⠟⢾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⣿⣿⣿⠿⠛⠉⠀⠀⠀⠀ ⠛⠛⠛⠟⠋⠁⢻⣿⣿⣟⣟⣯⣽⣿⣿⣿⣿⣿⣦⣶⣲⣿⣿⣶⠶⠒⠶⠆⠀⠀⠀⠘⠛⠛⠿⣿⣿⣿⡿⡛⠀⠀⠀⠀⠀⠀⠐⠐⢚⠛⠻⠿⡤⣀⣀⠙⠙⡛⡿⠿⣿⣿⣿⣿⣿⣿⣍⣶⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣴⣷⣶⢤⡀⠉⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣬⣴⣆⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠠⠀⠀⢖⣦⣤⠽⣶⣞⠀⠠⠀⢢⠉⠉⠻⡟⢍⠛⠚⣤⠀⣀⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢴⣤⠉⣀⣾⣷⠄⠀⠀⢻⣿⣿⣵⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⢿⣿⣿⣟⡛⠀⠀⠀⠀⠀⢄⢄⠀⣶⣶⡄⣴⣶⣢⣼⠘⠛⠛⠉⡣⢀⢤⣵⡿⡏⠃⠀⠚⠒⠠⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣟⡟⠛⠛⠛⠉⠉⠉⠈⠉⠁⠀⣀⢀⣀⡀⠠⣵⣤⠤⢶⣶⠶⣶⣿⣛⣛⣛⣻⣯⣭⣭⣭⣽⣷⣶⣶⣿⣿⣿⣿⣿⣷⣾⣸⣿⣿⣷⣶⣶⣶⣶⣶⣾⣾⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠟⢛⣉⣩⣩⣤⣃⣠⣤⣤⣤⣶⣶⣶⠾⠿⠿⠟⠛⢛⢈⣿⣿⣦⡈⢳⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣙⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣯⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠘⠛⠿⣿⣿⣿⣧⣌⣁⣀⣠⣄⡀⠀⠊⠈⠑⠂⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠐⠒⠒⠀⠀⠀⠀⠀⠀⢰⣿⣿⠿⠿⠛⠛⠃⢠⣀⣼⣿⠿⣷⠢⢙⢛⠛⡿⠇⠀⢀⣀⣀⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⡂⠀⠀⠀⠀⠘⠛⠛⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠛⠿⣿⣿⣽⣿⣿⣿⣯⣽⣿⣿⣿⣿⣟⣿⣿⡿⠿⢷⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣶⣶⣾⣿⣿⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣴⣦⡄⣀⣠⣿⣶⣿⣿⣿⣿⣿⣟⢻⣟⣛⣿⣿⣿⣿⡿⠿⠿⠛ ⣾⣶⣿⣿⣿⣿⣿⣿⣛⣿⣿⣯⣿⣿⣿⣿⣿⣿⠿⠦⠌⠀⠀⠀⣀⡄⠀⠈⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⣾⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⠭⣿⣿⣿⠿⠛⠉⠀⠀⠀⠀ ⠛⠛⠛⠛⠋⠁⢹⣿⣿⣟⣟⣯⣽⣿⣿⣿⣿⣿⣦⣶⣶⣿⣿⣶⠶⠒⠶⠆⠀⠀⠀⠘⠛⠛⠿⣿⣿⣿⡿⡛⠀⠀⠀⠀⠐⠂⠒⠀⠉⠟⠿⠿⡟⣠⣈⡈⢋⠟⠿⢿⢿⣿⣿⣿⣿⣿⣁⣦⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣴⣷⣶⢤⡀⠈⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣬⣴⣆⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⢠⣴⡤⢴⣶⡄⠄⠀⠔⠈⠉⠁⢟⡗⠍⠒⠂⣤⢀⣄⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢄⣤⠉⣀⣾⣷⠄⠀⠀⢻⣿⣿⣵⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⢿⣿⣿⣟⣛⠀⠀⠀⠀⠀⢠⣄⡐⣶⣶⡄⣴⣦⣦⡗⠚⠛⠑⠛⠇⠀⢢⣶⣿⢋⠃⠒⠚⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠛⠋⠉⠉⠈⠉⠁⠀⢀⠀⢀⡀⠠⣼⣤⠤⠴⢶⠶⣶⣾⣟⣛⣛⣿⣯⣭⣭⣭⣽⣷⣶⣶⣿⣿⣿⣿⣿⣿⣾⢨⣿⣿⣷⣶⣶⣶⣶⣶⣶⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠟⢛⣋⣩⣭⣤⣂⣠⣤⣤⣤⣶⣶⣶⠾⠿⠿⠟⠛⠛⡋⡺⣿⣶⣌⠹⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡏⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣾⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠛⠋⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠿⠿⢻⣫⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⠠⣜⣠⣤⣀⠀⢿⣿⣿⣿⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠟⠒⢒⣶⣶⣹⣿⣿⣿⣧⣤⡄⢀⣤⣶⣤⠀⣶⣿⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠹⠟⠀⠀⣹⡇⣤⣟⠛⠛⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣯⣤⣤⣿⣿⢹⣿⣿⣿⣿⣿⣿⣇⢸⣿⢸⣿⡆⣿⣿⣿⣿⢿⣿⡿⠿⢿⣿⢿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⣦⠊⠁⢸⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⢃⣤⣾⣿⣿⣿⢿⣿⢹⣿⢸⣿⡌⣿⡇⢻⣿⢸⣿⠀⣿⣧⣤⢸⣿⠸⣿⡆⣿⡟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⠟⢹⣿⡘⣿⠸⠿⠈⠻⠷⠟⠃⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⡿⣋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣀⠀⢠⣤⣤⠀⢴⣶⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠻⢿⣿⣟⣿⣿⣟⣿⣿⣷⡿⠋⠁⢅⣀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⢹⣿⡆⣾⡟⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠻⢿⣿⣿⣿⣿⣶⣶⣿⣬⣤⠀⠀⠀⢠⣾⣯⣦⣬⣿⣤⣄⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⣠⡄⣿⣧⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⣀⣀⠀⠤⠄⠐⣀⢠⣶⣶⣾⣇⢻⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿ ⢸⣿⣿⣿⣿⡄⠄⣤⠄⠀⠀⠀⠀⠀⠀⠀⠘⢿⣧⣿⠇⠿⠿⠹⠿⠞⠛⠃⠛⣷⣶⣶⣶⣿⣿⣦⣶⣶⣦⣶⣄⡚⠀⠈⡿⠿⠛⠋⠛⢿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣐⣹⣿⣿⡿⣿⡄⢹⠟⠐⠄⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⠿⢿⣿⠿⠿⠿⠛⠛⠛⠋⣉⣉⣀⣀⠀⠀⠀⣀⡺⢿⣭⣭⣿⣻⣿⠿⠁⠀⣠⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠛⠟⢿⣿⣿⣷⣄⣁⣀⣠⣄⣀⠀⠊⠉⠑⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠓⠀⠀⠀⠀⠀⠀⢰⣿⣿⠿⠿⠟⠛⠋⠠⣀⣰⣿⠿⣶⠈⠛⠛⢛⠿⠇⠀⠀⣈⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡀⠀⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣆⠀⠀⠀⠀⠀⠛⠛⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠙⠻⣿⣿⣽⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣯⡿⠿⠷⡀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣴⣶⣶⣿⣿⣿⣿⣿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⢄⣀⢀⣠⣵⣶⣾⣿⣿⣿⣿⣟⢻⣿⣛⣿⣿⠿⣿⣿⠿⠿⠛ ⣾⣶⣿⣟⣿⣿⣿⣿⣙⣻⣿⣿⣿⣿⣿⣿⣿⣿⡿⠦⠬⠀⠀⠀⣀⡄⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡾⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠯⣽⣿⣿⠿⠛⠋⠁⠀⠀⠀ ⠛⠛⠛⠛⠛⠃⢹⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣦⣴⣶⣿⣿⣶⠶⠒⠴⠦⠀⠀⠀⠈⠛⠛⠿⣿⣿⣿⡿⠛⠀⠀⠀⠀⠀⠀⠐⠀⠂⠋⠛⠟⣕⢀⣀⠁⠘⠹⠻⠿⡿⠿⣿⣿⣿⡿⣁⣴⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣴⣷⣶⢤⡄⠈⡚⢫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣦⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⣦⣤⠼⣷⡇⠄⠄⠀⡎⠉⠉⠲⡻⡆⠂⠀⢠⠀⣀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠕⣤⡌⣀⣼⣷⠄⠀⠀⠹⣿⣿⣧⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣛⠀⠀⠀⠀⠀⠀⡄⣀⣴⣶⡄⢰⣶⣠⣀⡀⠛⠓⠘⠫⠂⢲⣴⣿⡊⠛⠃⠘⠘⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠉⠉⠉⠉⠈⠀⠀⠀⢀⣀⠀⢠⡀⠠⣼⣦⠒⠲⣶⣾⣟⣛⣟⣛⣿⣭⣭⣭⣭⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣌⣿⣿⣿⣶⣶⣶⣶⣶⣿⣿⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠛⣛⣉⣭⣤⣤⣂⣤⣤⣴⣶⠶⠶⠾⠿⠻⠟⠛⠛⠋⡁⡽⣿⣷⣄⠙⢄⣬⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣻⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣟⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣮⠄⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠛⠛⠉⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠿⠿⠿⢻⣽⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢠⣤⡡⢤⣤⡀⠀⠿⣿⣿⣿⢺⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠗⠂⢠⣿⣟⣹⣿⣿⣿⣧⣤⡄⢀⣴⣶⣤⠀⣶⣿⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠈⠟⠃⠀⣸⡇⠀⣤⡿⠋⠛⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣯⣤⣴⣿⣿⢸⣿⣿⣿⣿⣿⣿⣇⢸⣿⢸⣿⡆⣿⣿⢿⣿⠿⣿⡿⠿⢿⣿⢿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⣥⣉⠁⣸⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣣⣤⣿⣿⣿⣿⢿⣿⢹⣿⢸⣿⡌⣿⡇⢻⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡆⣿⡟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⠟⢹⣿⡘⣿⠸⠿⠈⠻⠿⠟⠃⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣀⠀⢠⣤⣤⠀⣴⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠩⠿⢿⣿⣿⣿⣟⣛⣻⣗⡿⠏⠈⢧⡀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⢹⣿⡆⣼⡟⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⢿⣿⣿⣿⣿⣿⣷⣶⡆⠀⠀⠀⠀⣰⣿⣯⣶⣽⣤⣤⣤⣤⣤⣤⣄⣀⢀⡀⢀⠀⠀ ⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⣠⡄⣿⣧⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠐⢠⢠⣶⣾⣿⣧⣻⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠘⣿⣿⣿⣿⡆⠀⣴⣀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣧⣿⠇⠿⠿⠹⠿⠞⠛⠃⠛⣿⣿⣿⣿⣿⣿⣦⣶⣷⣶⣶⣄⡙⡀⢀⡿⠟⠛⠉⠙⢻⣿⣿⣿⣿⣿⣦⡀⠀⠀⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣀⣽⣿⣿⣿⣟⣆⢸⡋⠈⠀⠀⠀⠠⢄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠛⠛⠻⠿⠿⠟⠛⠛⠛⠉⣉⣉⣡⣤⣤⠀⠀⠀⣀⢩⣉⣛⣛⡛⠻⢿⡏⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠛⠛⢿⣿⣿⣷⣦⣅⣀⣠⣤⣀⣀⠘⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠂⠀⠀⠀⠀⠀⢰⣿⡿⠿⠟⠛⠛⠉⣄⣀⣴⣿⠷⠖⠙⠉⠉⠓⠊⠁⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣀⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣤⣄⡀⠀⠀⠀⠀⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠍⡛⢿⣿⣷⣿⣿⣿⣿⣾⣿⡿⣿⣿⣿⣻⣶⣿⠯⠵⠀⠀⠀⠀⠀⠀⠠⢤⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⠴⣄⣀⣤⣤⣴⣾⣿⣿⣿⣿⣟⣛⣿⣭⣿⣟⣟⣿⣿⠿⠟⠛ ⣿⣾⣛⣟⡿⣿⣿⣿⣭⣿⣿⣿⣿⢿⣿⣿⣿⣿⠿⠶⠌⠡⡄⠠⢠⡤⠀⠀⠉⠿⣿⢿⣿⣿⣿⣿⣿⣿⣧⣀⠤⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⡰⢿⢿⡝⢺⣽⣿⣿⣿⣿⣿⣿⣭⣿⣿⡯⣽⣿⡿⠟⠋⠉⠀⠀⠀⠀ ⠉⠉⠉⠛⠋⠁⢸⣶⣯⣯⣟⣯⣽⣿⣽⣿⣿⣿⣦⣤⣴⣭⣽⣿⡾⠊⠛⠴⠀⠀⠀⠈⠛⠛⠻⢿⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⠛⠇⢀⡀⢀⠀⠉⠋⠙⣻⠿⠿⣿⣿⡿⢤⣴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣶⣿⣷⢶⣄⠈⣉⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡤⡶⣿⡗⠀⠀⠀⠀⠀⠀⢘⡺⡇⠉⠀⠤⠀⠠⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠂⣤⡌⣀⡬⠗⠀⠀⠀⠙⣿⣿⣷⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⢰⣶⣴⣾⣿⡆⣠⣿⣷⣤⠈⠉⠁⠀⠁⡀⢰⣾⣶⡇⠈⠀⠁⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠉⠉⠉⠁⠀⠀⠀⠀⣀⣀⡀⢠⣄⠠⣼⣦⠒⠲⣶⣾⣟⣛⣿⣿⣿⣭⣭⣭⣿⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⣿⣿⣿⣶⣶⣶⣶⣶⣿⣿⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠛⣋⣩⣭⣤⣴⣂⣤⣤⣴⣶⠶⠶⠿⠿⠿⠟⠛⠛⠋⡁⡽⣿⣷⣄⡙⢄⣬⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣻⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⣟⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣇⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⠅⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⠛⠛⠉⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠿⠿⠿⢻⣽⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡍⣠⣮⡼⢶⣤⡀⠀⠸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠗⠂⢠⣿⣟⣹⣿⣿⣿⣷⣤⡄⢀⣤⣶⣤⠀⣶⣿⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠙⠋⠀⠀⠾⠇⠀⢠⣿⠉⠉⡮⠀⡄⠀⠀⠀⠀⠀⠀⠀ ⣿⣯⣤⣴⣿⣿⢹⣿⣿⣿⣿⣿⣿⣇⢸⣿⢸⣿⡆⣿⣿⢿⣿⠿⣿⡿⠿⢿⣿⢿⣿⠿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣼⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣉⠁⣸⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣣⣤⣾⣿⣿⣿⢿⣿⢹⣿⢸⣿⡌⣿⡇⢻⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡆⣿⡏⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⠟⢹⣿⡘⣿⠸⠿⠈⠻⠿⠟⠃⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣯⣿⣿⣿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡇⠀⡃⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣀⠀⢠⣤⣤⠀⣴⣶⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠿⢿⣿⣿⣿⣟⣛⣻⣏⣿⡯⠀⠲⡄⠀⠀⠀⠀⠀⠀⢀⣀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⢹⣿⡆⣺⡟⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠻⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⣴⣿⣿⣮⣷⣤⣤⣤⣀⣤⣤⣤⣀⠀⡀⣀⣀⠀ ⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⣠⡄⣿⣧⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⠠⠤⠄⠀⡂⠐⠠⠀⣶⣾⣿⣧⣽⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠘⣿⣿⣿⣿⡇⠀⢰⡄⠀⠀⠀⠀⠀⠀⠀⠘⢿⣧⣿⠇⠿⠿⠹⠿⠞⠛⠃⠛⣻⣿⣿⣿⣿⣿⣷⣾⣿⣶⣶⣆⣸⣀⢀⡿⠻⠛⠉⠙⢻⣿⣿⣿⣿⣷⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⣼⣿⣿⣟⣟⣆⠸⡃⠀⠂⠀⠀⠠⠄⣀⡀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠻⠿⠿⠟⠛⠛⠛⠉⣉⣁⣤⣤⣤⠀⠀⠀⣀⠘⣻⠿⠿⢿⣿⣿⡆⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠛⠛⢿⣿⣿⣷⣦⣄⣀⣤⣤⣄⣈⠀⠂⠈⠁⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠙⠓⠂⠀⠀⠀⠀⠀⠠⣿⠿⠿⠛⠛⠛⠋⣄⣀⣴⣿⠷⠀⠉⠙⠂⠙⠛⠁⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣀⡀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣤⣄⡀⠀⠀⠀⠀⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠍⡛⢻⣿⣷⣿⣿⣿⣷⣾⣾⣿⣷⣿⣿⣟⣶⣿⡯⠭⢂⠀⠀⠀⠀⠀⠠⢤⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣶⡖⣄⣀⣤⣼⡿⣾⣷⣿⣿⣿⡟⢛⣻⣭⣹⣛⣛⣿⣿⠿⠛⠛ ⣿⣿⣛⣿⣿⢿⣿⣿⣭⣿⣿⣿⣽⢿⣿⣿⣿⣿⠿⠳⠬⠡⣄⠠⢤⡤⠀⠀⠈⠻⣿⢿⣷⣾⣿⣿⣿⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣀⣲⠿⠾⡈⠷⠍⣽⣿⣿⣿⣿⣬⣭⡽⢿⠭⠭⣙⣿⠟⠋⠉⠀⠀⠀⠀ ⠉⠉⠉⠛⠉⠁⢘⣷⣿⣿⣿⣿⣼⣿⣽⣿⣿⣿⣷⣴⣬⣭⣽⣿⣟⠋⠛⠗⠀⠀⠀⠀⠛⠛⠻⢿⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠐⢀⣈⠀⠀⠘⠉⠉⠙⠛⠻⢿⢿⠋⠀⢀⠄⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣴⣿⣿⢶⣆⠀⢉⢉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡤⠐⠻⡇⠀⠀⠀⠀⠀⠀⠈⠂⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠒⣤⡌⣀⡬⠷⠀⠀⠀⠐⣿⣽⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡩⠀⠀⠀⠀⠀⠀⢴⠀⡔⠿⡂⠀⣨⣵⡀⠀⠉⠁⠀⠀⠀⠀⢀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡿⠽⠟⠉⠉⠉⠁⠀⠀⠀⢀⣀⣀⡀⣠⣄⠀⢬⣦⠒⠲⣶⣾⣛⣻⣿⣿⣯⣭⣭⣭⣿⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⣷⣶⣶⣶⣿⣿⣿⣏⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢛⣛⣩⣥⣤⣤⣆⣤⣤⣴⣶⠶⠶⠿⠿⠿⠛⠛⠛⠋⡁⡽⢿⣷⣆⡙⢆⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣻⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣟⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣧⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣯⠅⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠐⣿⣧⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⣿⠛⠛⠉⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠿⠿⠟⢻⣽⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢿⢿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣅⣴⣭⠻⢶⣤⠀⠀⠸⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠗⠂⢠⣿⣟⣹⣿⣿⣿⣿⣤⡄⢀⣴⣶⣤⠀⣶⣾⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠙⠁⠠⠴⠿⠀⠀⢠⡿⠍⠉⡮⠀⡀⠀⠀⠀⠀⠀⠀⠀ ⣿⣯⣤⣴⣿⣿⢹⣿⣿⣿⣿⣿⣿⣇⢸⣿⢸⣿⡆⣿⣿⢿⣿⠿⣿⡿⠿⢿⣿⢿⣿⠿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣉⡁⣸⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣣⣤⣾⣿⣿⣿⢿⣿⢹⣿⢸⣿⡌⣿⡇⢻⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡆⣿⡏⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⠟⢹⣿⡘⣿⠸⠿⠈⠻⠷⠟⠃⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⡁⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣀⠀⢠⣤⣤⠀⣴⣶⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠿⢿⣿⣿⣿⣟⣻⣻⣏⣿⡯⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⢹⣿⡆⣾⡟⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⡻⣿⣿⣿⣿⣿⡿⠀⠀⢀⠀⠀⢀⣴⣿⣧⣿⣶⣦⣤⣠⣀⣤⣤⣤⣀⠀⣀⢀⣀⡀ ⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⣠⡄⣿⣧⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠄⠠⠐⠀⠀⠢⠀⣶⣾⣿⣧⣹⣿⣿⣿⣿⡇⠀⠠⣿⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠈⣿⣿⣿⣿⡗⠀⢰⡤⠀⠀⠀⠀⠀⠀⠀⠘⢿⣧⣿⠇⠿⠿⠹⠿⠞⠛⠃⠛⣻⣿⣿⣿⣿⣿⣷⣾⣿⣶⣾⣦⣸⣀⢀⡿⠛⠛⠉⠙⢻⣿⣿⣿⣿⡄⠀⠙⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⣼⣿⣿⣿⣟⣆⠸⡇⠀⠂⠀⠀⠠⠄⣀⡀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠚⠛⠛⠻⠿⠿⠟⠛⠛⠛⠉⣉⣁⣤⣤⣤⠀⠀⠀⡀⢾⣿⣿⣿⣿⣷⠄⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠛⠛⢻⣿⣿⣷⣦⣄⣀⣤⣤⣄⣈⠀⠂⠈⠉⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠙⠓⠂⠀⠀⠀⠀⠀⠠⣿⠿⠿⠛⠛⠛⠉⣀⣀⣴⣿⠷⠀⠀⠈⠛⠁⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣀⡀⠀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣤⣄⡈⠀⠀⠀⠀⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠍⡛⢻⣿⣷⣿⣿⣿⣿⣾⣾⣿⣷⣿⣿⣟⣶⣿⡿⠭⢆⠀⠀⠀⠀⠀⠠⢤⣤⣤⣴⣾⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⣄⣶⠶⣦⢀⣤⣾⣿⣿⣿⠿⢾⣿⡿⣛⣿⣭⣽⣟⣛⣿⣿⠿⠛⠛ ⣿⣿⣛⣿⣿⢿⣿⣿⣭⣽⣿⣿⣿⢿⣿⣿⣿⣿⠟⠳⠮⠡⣄⠠⢠⡤⠀⠀⠈⠻⣿⢿⣿⣾⣿⣿⣿⣿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣞⠾⢿⡏⢿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣿⠯⢽⣿⡿⠟⠋⠉⠀⠀⠀⠀ ⠋⠉⠉⠛⠙⠁⢘⣷⣿⣿⣿⣿⣽⣿⣽⣿⣿⣿⣷⣴⣼⣭⣽⣿⣟⠋⠛⠷⠀⠀⠀⠀⠛⠛⠻⢿⣿⣿⠿⠋⠁⠀⠀⠀⠀⠄⡓⠀⠈⠉⠛⠛⠭⣠⡀⡀⠀⠈⠛⠛⢻⠿⠿⣿⣿⣿⡤⣤⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣴⣿⣿⢶⣦⠀⣉⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⣶⣦⢶⣿⡗⠀⠀⠀⣙⠀⠀⠐⠋⠄⠈⠀⠄⠄⢠⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢒⣤⡌⢀⡬⠷⠐⠀⠀⠀⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡩⠀⠀⠀⠀⠀⢐⣴⠄⣶⠿⣖⣴⣾⣟⣦⠀⠈⠀⡀⠉⡑⣰⡲⣿⡆⠃⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡿⠽⠟⠉⠉⠉⠁⠀⠀⠀⢀⣀⣀⡀⣠⣄⠀⢬⣦⠒⢒⣶⣞⣛⣻⣿⣿⣯⣭⣭⣽⣷⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⣿⣿⣿⣿⣶⣶⣾⣿⣿⣿⣏⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢛⣋⣩⣥⣤⣴⣂⣤⣤⣶⣶⠶⠶⠿⠿⠛⠛⠛⠛⠉⡅⡽⠿⣷⣦⡙⣆⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣻⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣟⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣧⡇⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣯⠅⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⢻⣿⣿⠛⠋⠉⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠿⠿⠟⢻⣽⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢿⢿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⣰⣭⠚⠻⣶⡄⠀⠀⠸⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠇⠀⢨⣿⣟⣹⣿⣿⣿⣿⣤⡄⢠⣤⣶⣤⠀⣶⣾⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠙⠉⠀⠐⠛⠀⠀⠀⢠⡿⠍⢉⡯⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣯⣤⣴⣿⣿⢹⣿⣿⣿⣿⣿⣿⣇⢸⣿⢸⣿⡆⣿⣿⢿⣿⠻⣿⡿⠟⢿⣿⢻⣿⠿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣉⣁⣸⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣣⣤⣾⣿⣿⣿⢿⣿⢹⣿⢸⣿⡌⣿⡇⢻⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡇⣿⡏⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⠟⢹⣿⡘⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⡁⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣀⠀⢠⣤⣤⠀⣴⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠿⠿⣿⣿⣿⣿⣻⣿⣏⣿⡭⠀⠀⠀⠀⠀⠀⠀⠀⠸⣓⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⢹⣿⡆⣾⡟⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⡻⣿⣿⣿⣿⠇⠀⣀⣴⣦⠀⠀⢠⣽⣿⣿⣾⣶⣶⣤⣤⣀⣤⣤⣤⣤⠄⣀⣀⣀⣀ ⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⣠⡄⣿⣧⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⡀⠀⠤⠤⠄⠐⠐⠀⠢⠀⣶⣿⣿⣧⣽⣿⣿⠏⠀⢠⣿⣿⡇⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠈⣿⣿⣿⣿⣗⠀⢰⡄⠀⠀⠀⠀⠀⠀⠀⠘⢿⣧⣿⠇⠿⠿⠹⠿⠎⠛⠃⠛⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣶⣦⣬⣀⢀⠟⠻⠛⠉⠙⢻⡟⠀⠀⣼⣿⣿⡇⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣼⣿⣿⣟⣛⣆⠸⣗⠀⠂⠀⠀⠠⠤⣀⣀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠚⠛⠛⠻⠿⠿⠟⠛⠛⠋⢉⣉⣀⣤⣤⣤⠀⠀⠀⠀⢆⢣⠀⢠⣿⣿⣿⠇⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠙⠛⢻⣿⣿⣷⣦⣤⣠⣤⣤⣄⣈⡀⠀⠀⠉⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠀⠀⠀⠀⠀⠀⠠⣿⠿⠿⠛⠛⠋⠉⣀⣤⣴⣿⠂⠀⠁⠘⠉⠛⠛⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣀⡀⢀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣤⣬⡁⠀⠀⠀⠀⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠍⡛⢻⣿⣷⣿⣿⣿⣿⣾⣿⣿⣶⣿⣿⣟⣷⣿⣟⠭⠆⠀⠀⠀⠀⠀⠀⠤⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⡶⡆⣀⣥⣴⣦⣿⣷⣿⣿⣾⣿⣛⣿⣭⣽⣟⣻⣿⣿⠿⠛⠋ ⣿⣿⣟⣿⣿⢿⣿⣿⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⠟⠳⠆⢡⣄⠀⠤⡤⠀⠀⠈⠻⢿⢿⣿⣾⣿⣿⣿⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣼⡿⣿⡯⢘⡿⣾⣿⣿⣿⣿⣿⣯⣿⣿⡯⢽⣿⡿⠟⠋⠉⠀⠀⠀⠀ ⠉⠉⠉⠛⠉⠁⠘⣷⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣷⣮⣭⣯⣿⣿⣟⠋⡛⠓⠀⠀⠀⠀⠛⠛⠻⢿⣿⣿⠿⠋⠁⠀⠀⠀⠈⠁⠀⠀⠀⠙⠙⠛⠻⣋⣤⡀⣘⢊⡛⠛⠛⠿⠿⣿⣿⣿⠤⢴⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣾⣿⣿⢶⣦⠀⢉⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠠⣴⣶⢚⣿⡟⡄⠀⠠⣩⠠⣠⢸⡛⠇⠁⠁⠠⠀⠠⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢒⣤⡌⢠⣬⠏⠐⠀⠀⠀⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡭⠄⠀⠀⠀⠀⢐⣶⡆⡾⠻⡷⣠⣿⣽⣾⡀⠉⠁⣀⠠⠀⣔⢾⣶⡏⠒⠋⠈⠉⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡿⢿⠿⠽⠟⠉⠉⠉⠀⠀⠀⣀⣀⣀⣀⡀⣠⣄⠀⢬⣷⠒⢒⣾⣟⣻⣿⣿⣿⣭⣭⣿⣷⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣛⣉⣭⣤⣤⣶⣆⣤⣶⣶⣶⠾⠿⠿⠿⠛⠛⠛⠉⠉⡅⡼⠿⣿⣦⡈⣦⣴⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣻⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣟⣿⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣇⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢀⣀⣀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⣿⣿⣿⠛⠉⠁⠀⢸⣿⣿⣿⡇⠐⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡿⠿⠟⠛⢻⣽⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⢐⣶⡴⠙⢻⣦⠀⠀⠀⠸⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠏⠉⢩⣿⣟⣹⣿⣿⣿⣿⣤⡄⢠⣴⣶⣤⠀⣶⣾⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠋⠀⠀⠈⠃⠀⠀⠀⠰⢿⡉⢉⡮⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣶⣶⣿⣿⢸⣿⣿⣿⣿⣿⣿⣇⢸⣿⢸⣿⡆⣿⣿⢿⣿⠻⣿⡿⠟⢻⣿⢻⣿⠻⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣀⣀⣸⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣣⣴⣾⣿⣿⣿⢿⣿⢹⣷⢸⣿⡄⣿⡇⢻⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡇⣿⡏⠻⢿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⠟⢸⣿⡘⣿⠸⠿⠈⠻⠿⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠟⠀⠀⠀⠀⠀⣤⡄⠀⠀⠀⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣀⠀⢠⣤⣤⠀⣤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⠿⢿⣿⣿⣿⣿⣿⣯⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⢹⣿⡆⣽⡟⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⡻⣿⣿⣿⠟⠁⠀⣠⣶⡆⠀⠀⣴⣿⣿⣿⣾⣶⣶⣶⣦⣀⣠⣤⣤⣤⣄⣀⣀⣀⣀ ⢿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⣠⡄⣿⣧⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⢀⠤⠀⣾⣿⣿⣧⣜⡿⠁⠀⢠⣾⣿⣿⡇⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠈⢿⣿⣿⣿⣗⠀⢸⡦⢀⠀⠀⠀⠀⠀⠀⠘⢿⣧⣿⠇⠿⠿⠹⠿⠎⠛⠃⠛⣻⣿⣿⣿⣿⣿⣷⣿⣿⣶⣶⣦⣬⣀⠀⠟⠛⠉⠁⠈⠁⠀⣴⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣼⣿⣿⣟⣿⣧⠘⡗⠀⠂⠀⠀⠀⢤⣀⣀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠻⠿⠯⠛⠛⠛⠉⣉⣁⣤⣤⣤⣤⠀⠀⠀⢠⢂⣼⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠉⠛⢻⣿⣿⣿⣶⣤⣤⣤⣦⣤⣀⣁⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠘⠓⠂⠀⠀⠀⠀⠀⠰⠿⠿⠛⠛⠉⠉⠁⣀⣤⣶⣿⠂⠁⠉⠉⠉⠉⠛⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣀⣀⣀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣤⣶⣢⡀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⣿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠉⣻⣿⣷⣿⣿⣿⣿⣾⣿⣿⣻⣿⣿⣽⣷⣿⣛⠛⠆⠀⠀⠀⠀⠀⠀⠤⣶⣴⣾⣿⣿⣿⣿⣿⣿⣿⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⡖⢄⣀⣠⣶⣶⢿⣽⣾⣾⣿⣯⣉⣻⣭⣽⣟⣛⣿⣿⠛⠋⠉ ⣿⣿⣿⣯⣿⣿⢿⡿⣮⣽⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠒⢀⣀⡀⠤⠴⠀⠀⠈⠛⠿⠿⣿⣿⣿⣿⣿⣿⣧⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⡼⡻⡿⠯⠱⢴⣾⣿⣿⣿⣿⣿⣧⣿⣿⠏⢻⣿⡿⠛⠉⠁⠀⠀⠀⠀ ⠉⠉⠉⠉⠉⠁⠈⢿⣿⣿⣿⣽⣶⣿⣿⣾⣿⣿⣿⣾⣿⣿⣿⣿⣟⠋⣙⠛⠀⠀⠀⠀⠉⠉⠛⠿⣿⡿⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⢿⣤⣄⢀⠐⠀⠉⠉⠹⠿⠿⢿⣿⡿⠦⠔⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⡶⢾⣿⣿⢷⣦⠀⠩⢡⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⣸⡶⠚⠿⠿⠀⠀⢀⢡⡀⣀⣉⡑⠇⠀⠀⠢⠀⠠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢂⣤⡆⢠⣌⠏⠀⠀⠀⠀⣿⣿⣷⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿⡟⣿⣿⣿⡯⠀⠀⠀⠀⠀⢰⣶⠆⠞⠛⡷⣲⣿⣿⣶⠄⠉⠁⠠⠀⠀⠔⢶⣷⡏⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠿⠿⠿⠟⠋⠉⠉⠀⠀⠀⣀⣀⣀⣀⣠⡄⣄⣤⡀⠲⣷⠖⠚⣻⣿⣿⣿⣯⣭⣭⣽⣷⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣋⣩⣥⣴⣶⣶⣮⣴⣶⣶⣶⠾⠿⠿⠛⠛⠛⠛⠉⠉⡅⡼⠿⣿⣦⣌⣃⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣭⣿⣿⣿⣿⣿⣿⣿⡟⣿⢿⣿⣿⡿⡯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣭⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢀⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⢻⣽⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⢛⢿⣿⣿⡛⠉⠁⠀⢸⣿⣿⣿⡇⠐⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠿⠿⠛⠛⢻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣑⣶⠎⠉⢿⡆⠀⠀⠀⠘⢿⣿⣿⡇⡃⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠏⠉⢩⣿⣟⣹⣿⣿⣿⣿⣤⡄⢀⣴⣶⣤⠀⣶⣾⣿⣦⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣃⠈⠉⠀⠀⠉⠁⠀⠀⠀⠰⢾⣉⢉⡁⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣶⣶⣿⣿⢸⣿⣿⣿⣿⣿⣿⣇⢸⣿⢸⣿⡆⣿⣿⢿⣿⠺⣿⡿⠟⢻⣿⢻⣿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣆⣀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣧⣶⣾⣿⣿⣿⢿⣿⢸⣷⢸⣿⡄⣿⡇⢻⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡇⣿⡏⠻⠿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⣀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⠟⢹⣿⠘⣿⠸⠿⠈⠻⠿⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢿⣿⡿⠟⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠸⠿⠿⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⣤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠿⠿⣿⣯⣽⣿⣧⣿⣃⡀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⢹⣿⡆⣽⡟⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡉⢻⣿⣿⡟⠁⠀⣠⣴⡆⠀⠀⣴⣿⣿⣿⣾⣶⣶⣶⣶⣆⣤⣤⣤⣤⣄⣄⣀⣀⣀ ⢿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⣠⡄⣿⣧⣿⣷⢸⣿⡏⣿⡇⠀⢀⣀⣀⣀⡀⠠⠖⠐⠂⠀⢀⡡⠀⣿⣿⣿⣷⣦⣽⣿⠀⠀⣼⣿⣿⡇⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢿⣿⣿⣿⣟⠀⢸⣆⠀⠀⠀⠀⠀⠀⠀⠘⢿⣧⣿⠇⠿⠿⠹⠿⠎⠛⠃⠛⢻⣿⣿⣿⣿⣿⣷⣿⣿⣿⣷⣦⠬⠁⠀⠛⠛⠉⠁⠀⠈⠁⢀⣾⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠤⣴⣿⣿⣿⣿⣥⠈⢟⠀⠁⠀⠀⠀⠤⡄⣀⡀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⢀⣈⠋⠛⠛⠛⠋⠉⠉⢉⣤⣤⣴⣶⣾⣿⣿⠀⠀⠀⢰⡀⢀⣾⣿⣿⣿⣿⠇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠈⠉⠉⠹⣿⣿⣿⣷⣦⣤⣤⣶⣤⣤⣈⡁⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠘⠛⠛⠋⠉⠀⠀⠀⣄⣴⣶⣾⠓⠀⠉⠉⠉⠉⠙⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣤⣄⣀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣤⣶⣶⣶⡄⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡒⣉⣹⣿⣿⣿⣿⣿⣿⣷⣿⣿⠻⣿⣿⣽⣿⣿⣓⡚⢧⡀⠀⠀⠀⠀⠀⠲⢶⣶⣾⣿⣿⣿⣿⣿⣿⣿⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣶⡶⡆⢀⣴⣮⣿⣿⣿⣿⣿⣿⣯⣍⣽⣭⣽⣽⣟⣟⡿⠛⠛⠉ ⣿⣿⣯⣿⣿⣻⢿⡿⣶⣽⣿⣿⣿⣻⣿⣿⣿⣿⡟⠛⠒⢐⣂⣐⠠⠖⢀⠀⠀⠛⠿⠻⣿⣿⣿⣿⣿⣿⣷⣤⡐⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⣤⣼⠿⠿⠿⣥⡶⣿⣼⣿⣿⣿⣿⣷⣾⡿⠯⢺⣿⡿⠟⠋⠀⠀⠀⠀⠀ ⠉⠁⢁⠉⠉⠀⠀⢿⣿⣾⣾⣽⣶⣿⣶⣾⣿⣿⣿⣾⣾⣷⣿⣿⣟⠋⡉⠚⠀⠀⠀⠀⠉⠉⠙⠻⣿⡿⠟⠉⠀⠀⠂⠀⠀⠀⠀⠀⠈⠈⠋⠛⢿⣕⣄⣀⣀⢉⠉⠉⠛⠿⠿⠿⣿⡽⠶⠠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡶⢾⣿⣿⢿⣶⡀⠬⢁⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⡄⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⢀⣀⢀⠠⣶⣷⠚⢻⠿⠀⠀⡠⢍⠄⣤⢌⣷⠕⠀⠀⠑⠄⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢂⣤⡆⠠⣤⠒⠉⠀⠀⠀⣿⣾⣿⣿⣿⣿⣿⣿⣿⡭⣿⣿⣿⣟⣿⣿⣿⡍⠀⠀⠀⠀⠀⠰⠶⢖⠞⠻⠿⢢⣿⣿⣷⡧⠈⠁⢐⠐⠀⣲⣾⣿⣯⡃⠈⠁⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠿⠿⠿⠟⠉⠉⠉⠀⠀⢀⣀⣀⣀⣀⣠⡄⣤⣤⡀⠲⣷⠖⠘⣿⣿⣿⣿⣯⣭⣭⣽⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣋⣩⣥⣴⣶⣶⣦⣴⣶⣶⣶⡾⠿⠿⠛⠛⠛⠋⠉⠉⡅⡜⠿⣿⣦⣈⣣⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣭⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⡿⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠃⢀⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⣛⣿⣿⣿⠛⠉⠁⠀⢸⣿⣿⣿⡇⠐⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠿⠿⠛⢛⢻⣽⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡎⣺⡶⠈⠙⣿⠀⠀⠀⠀⠘⣿⣿⣿⡇⡃⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠏⠉⢩⣿⢟⣹⣿⣿⣿⣿⣤⡄⢀⣤⣶⣤⠀⣶⣾⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⡀⠈⠀⠀⠈⠉⠀⠀⠀⠀⠰⢿⣉⢉⡇⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣶⣶⣿⣿⢸⣿⣿⣿⣿⣿⣿⣇⢸⣿⢸⣿⡆⣿⣿⢿⣿⠺⣿⡿⠟⢻⣿⢻⣿⠛⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣆⣀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣧⣶⣾⣿⣿⣿⢿⣿⢹⣷⢸⣿⡄⣿⡇⢻⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡇⣿⡏⠻⢿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠴⡆⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⠟⢸⣿⠘⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢿⣿⡟⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠿⠿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⣤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠛⠛⠿⠿⢿⣯⣿⣿⣧⣿⣃⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⢹⣿⡆⣽⡟⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡉⠹⣿⣿⣿⠋⠀⢀⣴⡆⠀⠀⣴⣿⣿⣿⣾⣶⣶⣶⣶⣆⣤⣤⣤⣤⣄⣀⣀⣀⣀ ⢿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⣠⡄⣿⣧⣿⣷⢸⣿⡏⣿⡇⠀⢀⣀⣀⣀⠀⠐⠀⠐⠐⠀⢈⠥⠀⣿⣿⣿⣷⣦⣽⣿⠏⠀⢠⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢿⣿⣿⣿⣇⠀⢸⡆⢀⠀⠀⠀⠀⠀⠀⠘⢿⣧⣿⠇⠿⠿⠹⠿⠎⠛⠃⠛⢻⣿⣿⣿⣿⣿⣷⣿⣿⣷⣶⣦⡬⡀⠀⠟⠻⠛⠛⠛⠛⠻⠀⣠⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠤⢬⣿⣿⣿⣿⣥⠘⣗⠀⠁⠀⠀⠐⠤⠀⣀⡀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⢀⣙⣛⠛⠛⠋⠉⠉⠉⢩⣤⣤⣴⣶⣶⣶⣿⠀⠀⠀⠀⣀⠀⢠⣿⣿⣿⣿⠃⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠈⠉⠉⠹⣿⣿⣿⣷⣤⣤⣤⣶⣤⣤⣈⡀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠋⠉⠉⠁⠀⣠⣄⣠⣤⠃⠀⠈⠉⠉⠉⠙⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢠⣀⣀⣀⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⡄⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡈⣉⣹⣿⣿⣿⣿⣿⣿⣶⣿⣟⣻⣿⣿⣽⣿⣿⣓⡚⢣⡀⠀⠀⠀⠀⠀⠲⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣶⡤⣂⣀⢠⣦⣷⣿⢿⢾⣾⣾⣯⢉⣿⣭⡭⢽⣛⣛⣿⠛⠛⠉ ⣿⣿⣯⣭⣿⣻⢿⡿⣶⣽⣿⣿⣿⣻⣿⣿⣿⣿⡟⠛⠂⢐⣂⡐⠠⠖⠀⠀⠀⠛⠿⠻⣿⣿⣿⣿⣿⣿⣧⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣼⢧⢺⠏⠂⣸⣿⣿⣿⣻⡿⢳⡯⡼⠟⠃⠐⢟⡿⠝⠋⠁⠀⠀⠀⠀ ⠉⠉⢁⠉⠉⠀⠀⢿⣿⣿⣾⣽⣶⣿⣾⣾⣿⣿⣿⣾⣿⣿⣿⣿⣟⠉⡑⠚⠀⠀⠀⠀⠉⠉⠙⠻⢿⡿⠟⠉⠁⠀⠀⠀⠀⠁⠀⠀⠀⠈⠈⠙⠳⢤⠄⡀⠀⠀⠉⠈⠉⠙⠙⠻⠗⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠶⢾⣿⣿⢷⣦⡀⠨⢁⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⣶⡶⠒⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢂⣤⡆⠠⣄⠋⠉⠀⠀⠀⣿⣿⣷⣿⣿⣿⣿⣿⣿⣭⣿⣿⣿⣟⣿⣿⣿⡏⠀⠀⠀⠀⠀⠐⣴⡶⡼⢛⠓⢢⡴⣿⡶⠂⠀⠀⠀⠀⠀⠀⢀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡿⠿⡿⠿⠟⠉⠉⠉⠀⠀⠀⢀⣀⣀⣀⣀⡀⣤⡀⠠⣷⡖⠒⣺⣟⣛⣿⣿⣿⣭⣭⣽⣷⣶⣶⣶⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢛⣋⣩⣥⣤⣴⣖⣤⣴⣶⣶⠶⠿⠿⠿⠛⠛⠛⠋⠉⢩⢠⡿⢿⣶⣌⢣⣤⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣻⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣸⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⢛⡻⣿⣿⣿⡛⠋⠉⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠿⠿⠛⢛⣯⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡂⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣱⣷⡖⠉⢻⣿⡇⠀⠀⠀⠐⢿⣿⣿⡯⡃⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡿⠉⠉⣽⣿⣋⣿⣿⣿⣿⣤⡄⢀⣤⣶⣤⠀⣶⣾⣿⣧⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠉⠀⠀⠉⠙⠃⠀⠀⠀⠀⠾⣏⠉⣱⠅⢰⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣥⣤⣾⣿⢹⣿⣿⣿⣿⣿⣿⣇⢸⣿⢸⣿⡆⣿⣿⢿⣿⠸⣿⡿⠟⢻⣿⢻⣿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣁⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣎⣁⣀⣿⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣟⣤⣴⣿⣿⣿⢿⣿⢹⣷⢸⣿⡄⣿⡇⢻⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡇⣿⡏⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⠘⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢿⣿⣿⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠘⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣀⠀⢠⣤⣤⠀⣤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣯⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢹⣿⡆⣼⡟⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢛⢿⣿⣿⣿⣿⡿⠀⠀⣠⠀⠀⣠⣼⣿⣿⣷⣶⣶⣶⣤⣀⣠⣤⣤⣤⡤⢀⣀⣀⣀ ⠿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⣤⡄⣿⣧⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠄⣴⣶⣾⣿⣆⠹⣿⣿⣿⠁⠀⣰⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢹⣿⣿⣿⣿⠀⠀⣧⠄⠀⠀⠀⠀⠀⠀⠘⢿⣧⣿⠇⡿⠿⠹⠿⠎⠛⠃⠛⢃⣿⣿⣿⣿⣿⣿⣶⣿⣷⣶⣶⣬⢅⡀⢸⠿⣿⣿⣿⣾⣿⣿⠃⠀⣰⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠄⢀⡿⣿⣿⣻⣷⡀⢟⠀⠐⠀⠀⠀⠤⣀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣛⡻⠛⠛⠛⠛⠛⠛⠿⠟⠛⠛⠻⠿⠷⠗⠍⠙⠀⠉⠙⠏⠀⢰⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠈⠛⠛⣿⣿⣿⣶⣤⣤⣤⣤⣤⣀⣁⠀⠀⠉⠁⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢠⠆⠀⠘⠛⠛⠃⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⣀⢀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠛⣿⣿⣾⣿⣿⣿⣶⣷⣿⣿⣾⣿⣿⣻⣾⣟⡫⠵⠀⠀⠀⠀⠀⠀⠠⢴⣦⣶⣶⣶⣶⣶⣶⣶⣶⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⠂⢀⣠⣤⣴⡾⣿⣹⡷⣾⡿⠛⣙⣭⣭⣟⣛⣛⣿⡿⠟⠛ ⣾⣿⣿⣻⣽⡿⣿⣿⣯⣭⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠂⠀⣤⡀⠤⠤⠄⠀⠀⠙⠿⡿⣿⣷⣿⣿⣿⣿⣿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠫⠏⠀⠈⡽⣟⣛⣻⡛⡭⣩⠍⠛⠭⠭⠁⢽⠴⠚⠉⠀⠀⠀⠀ ⠉⠉⠉⠙⠋⠉⠀⠻⣿⡯⣿⣯⣥⣿⣿⣿⣿⣿⣿⣶⣭⣭⣽⣿⣿⡛⢙⠛⠂⠀⠀⠀⠘⠛⠛⠿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⠙⠛⡤⠄⠀⠀⠀⠈⠉⠉⠈⠚⠟⠴⡑⠂⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀ ⣤⠴⣾⣿⠿⣶⡄⢈⠉⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡶⠔⠚⠟⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠖⣠⣬⠀⣤⡵⠝⠀⠀⠀⢻⣿⣿⣾⣿⣿⣿⣿⣿⡽⣿⣿⣿⣿⢿⣿⣿⡯⠅⠀⠀⠀⠀⠀⠖⠆⠰⠛⠓⠀⡠⡠⠀⡀⠀⠁⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠋⠉⠉⠉⠁⠀⠀⠀⠀⢀⣀⢀⣠⡀⠠⣵⡔⠒⢲⣶⣿⣟⣻⣛⣛⣿⣭⣭⣽⣿⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣯⣹⣿⣿⣿⣶⣶⣶⣶⣾⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠟⢛⣋⣩⣭⣤⣴⣂⣥⣤⣴⣶⡶⠶⠿⠿⠿⠟⠛⠛⢋⢈⠿⣿⣶⣌⠳⣠⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘⣻⣷⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣷⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣖⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⡬⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠺⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⢛⣿⣿⣿⣿⡟⠛⠋⠁⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠿⠿⠟⣻⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣑⣶⡆⠉⢿⣿⡇⠀⠀⠀⠀⢿⣿⣿⣿⠰⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠗⠒⣰⣿⣇⣿⣿⣿⣿⣧⡄⢠⣤⣶⣤⠀⣶⡶⣿⣧⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠈⠋⠀⠀⠉⠛⡇⠀⠀⠀⠀⣤⡟⠉⢻⠨⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣧⣤⣼⣿⠻⣿⣿⣿⣿⣿⣿⣇⢸⣿⢸⣿⡆⣿⣧⢿⣿⢸⣿⡿⠿⢿⣿⢿⣿⠿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⣁⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⣬⡉⠁⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣡⣴⣿⣿⣿⢿⣿⢹⣿⢸⣿⡌⣿⡇⢻⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡆⣿⡏⠻⢿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⡘⣿⠸⠿⠈⠻⠷⠟⠃⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣽⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣀⠀⢠⣤⣤⠀⢴⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣛⣟⣿⣹⡿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢹⣿⡆⣾⡟⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠻⣿⣿⣿⣿⣿⣷⠀⠀⢀⠀⠀⢠⣤⣿⣿⣧⣧⣤⣤⣤⣤⣤⣀⣀⣀⣀⢀⡀⠀⠀ ⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⣠⡄⣿⣧⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠐⡀⢠⣴⣶⣶⣎⠹⣿⣿⣿⡏⠀⢀⣾⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢹⣿⣿⣿⣿⠆⠀⣦⠀⠀⠀⠀⠀⠀⠀⠘⢿⣧⣿⠇⠿⠿⠹⠿⠎⠛⠃⠛⠋⣴⣶⣾⣿⣿⣷⣶⣶⣶⣶⣤⣀⡓⠀⢸⣿⣿⣿⣮⣤⣿⣿⣿⠃⠀⣼⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣀⣀⣽⣿⣿⣿⣟⡀⢻⠅⠐⠀⠀⠄⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣻⠿⠿⠿⠿⠿⡿⣿⣿⣿⣿⣿⣿⣷⣭⣿⣯⣟⠿⢿⣿⣿⡏⠀⢰⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠁⠐⠛⠛⣿⣿⣿⣷⣤⣁⣀⣠⣤⣀⡀⠚⠈⠝⠂⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⣤⣭⣍⣉⡉⠉⠁⠀⠀⠉⠀⠀⠛⠻⠇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣀⣀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠤⠝⠛⣿⣿⣷⣿⣿⣿⣿⣿⣿⠿⣿⣿⣟⣿⣾⡿⠭⠷⣀⠀⠀⠀⠀⠠⠤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⢄⣀⣀⣠⣤⣴⣽⣧⣶⣶⡾⠛⠛⣏⣙⣛⡻⢿⢿⡿⠿⠟ ⣾⣾⣿⣛⣿⡿⣿⣿⣯⣝⣿⣿⣿⡿⣿⣿⣿⣿⣿⠿⠦⠉⠤⡀⠄⣠⠄⠀⠀⠹⢿⡿⣿⣿⣿⣿⣿⣿⣿⣀⡀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠇⢗⠀⢕⣸⢟⣟⣿⣿⡭⢝⢉⢿⣿⠉⢝⢿⡯⠟⠋⠉⠀⠀⠀ ⠛⠋⠙⠙⠛⠋⠁⢹⣾⣯⣯⣿⣯⣽⣯⣭⣿⣿⣿⣦⣦⣶⣽⣿⣷⠖⠚⠫⠆⠀⠀⠀⠘⠚⠛⠿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⠘⠛⠹⢔⣀⠀⠀⠀⠈⠈⠈⠳⠿⠾⠿⡼⠄⠀⠀⠄⠈⠀⠀⠀⠀⠀⠀⠀ ⣤⣤⣶⣷⠶⣦⡄⠈⡙⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣮⣶⣆⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⢀⣤⠤⠐⠶⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠤⢀⣬⠀⣤⡥⡿⠀⠀⠀⢻⣯⣿⣶⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⢿⣿⣿⣟⠋⠀⠀⠀⠀⠀⠠⠠⠀⠒⠦⠄⣀⠀⡀⠀⠀⠁⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠋⠉⠉⠉⠉⠀⠈⠀⠀⢀⣀⢀⣀⡀⢠⣷⡤⠒⢶⣶⣶⣟⣻⣛⣛⣻⣭⣭⣭⣭⣿⣷⣶⣶⣿⣿⣿⣿⣿⣿⣿⣯⣹⣿⣿⣷⣶⣶⣶⣶⣾⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠟⢛⣋⣩⣭⣤⣴⣂⣤⣤⣴⣶⣶⠶⠾⠿⠿⠿⠛⠛⢛⢈⢿⣿⣦⣈⠳⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘⣻⣷⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣜⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⡾⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⡻⣿⣿⣿⣿⡟⠛⠋⠁⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠿⠿⠟⣻⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⣿⡇⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣁⣶⣵⠉⢻⣿⣿⡇⠀⠀⠀⠀⢿⣿⣿⣿⠰⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠒⠂⣰⣿⣏⣿⣿⣿⣿⣧⡄⢠⣤⣶⣤⠀⣶⡶⣿⣧⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠉⠙⠁⠀⠈⠛⢿⡇⠀⠀⠀⠀⣤⡟⠉⢻⠬⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣧⣤⣼⣿⠻⣿⣿⣿⣿⣿⣿⣇⢸⣿⢸⣿⡆⣿⣷⢿⣿⠸⣿⡿⠿⢿⣿⢿⣿⠿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣗⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⣤⠉⠁⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣡⣴⣿⣿⣿⢿⣿⢹⣿⢸⣿⡌⣿⡇⢿⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡆⣿⡏⠻⢿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⡘⣿⠸⠿⠈⠻⠷⠟⠃⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣽⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣀⠀⢠⣤⣤⠀⣴⣶⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠽⣿⣿⣿⣿⣿⣛⣛⣿⣹⡿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢹⣿⡆⣾⡟⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⢿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⣤⣤⣿⣿⣷⣧⣤⣤⣤⣤⣤⣀⣄⣀⡀⢀⠀⠀⠀ ⢿⣿⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⣠⡄⣿⣧⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢐⡀⢠⣤⣶⣶⣿⣿⣿⣿⣿⡟⠀⠀⡆⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡀⢹⣿⣿⣿⣿⠂⠀⣦⠄⠀⠀⠀⠀⠀⠀⠘⢿⣧⣿⠇⠿⠿⠹⠿⠎⠛⠃⠛⠋⣴⣷⣿⣿⣿⣷⣶⣿⣷⣶⣶⣄⡟⡈⢸⣶⣟⣛⡈⠹⣿⣿⣿⡇⠀⢸⡗⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡴⢨⣽⣿⣿⣿⣿⡄⢿⠄⠐⠀⠀⠀⠤⢀⢀⡀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠠⢽⣛⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣸⣿⣿⣷⣧⣤⣿⣿⣿⡇⠀⢸⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠁⠘⠛⠛⣿⣿⣿⣶⣤⣀⣠⣤⣤⣀⣁⠀⠀⠉⠁⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣉⣉⠛⠛⠓⠟⠿⠯⡍⠙⠲⠈⠙⠛⠁⠀⠛⠇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣀⣀⡀⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⠿⠿⢿⣿⣷⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠠⢙⠛⣿⣿⣷⣿⣿⣿⣷⣷⣿⣿⣾⣿⣿⣳⣾⣟⡫⠵⢀⠀⠀⠀⠀⠀⠤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⡀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⡤⠀⣀⣤⣶⣶⣻⣿⣿⣿⣿⣛⣛⣯⣉⣛⣻⣿⣿⡿⠿⠛ ⣾⣿⣿⣻⣿⡿⣿⣿⣯⣭⣿⣿⣯⣿⣿⣿⣿⣿⡿⠛⠶⠍⢤⡄⠤⢤⠄⠀⠀⠙⠿⡿⣿⣶⣟⣿⣿⣿⣯⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣴⠟⣇⠀⠚⣿⣷⣿⣿⣿⣯⣯⣭⣿⡿⠭⣿⣿⡿⠟⠋⠁⠀⠀⠀ ⠉⠉⠉⠙⠋⠉⠀⢻⣿⣿⣿⣿⣭⣿⣿⣿⣿⣿⣿⣦⣦⣭⣭⣿⣿⡛⠙⠫⠂⠀⠀⠀⠘⠛⠛⠿⣿⣿⡿⠟⡉⠰⠶⠶⢶⠆⢐⠀⠀⠀⠈⠛⢛⣔⣌⠠⠀⠀⡉⠛⠛⡿⠿⣿⣿⣿⣿⣆⡜⠈⠁⠀⠀⠀⠀⠀⠀⠀ ⣤⢴⣾⣿⠿⣶⡄⠈⡉⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⢠⣶⠐⢾⣿⡆⠀⠀⡘⢋⠉⡁⢸⠗⠀⠀⠠⠄⠀⢄⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠖⣠⣼⠀⣤⡱⠟⠀⠀⠀⢻⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣏⠭⠀⠀⠀⠀⠀⣶⣦⣴⣿⡷⣶⣾⣾⣷⣶⡈⠉⢂⡙⢻⣶⣶⣾⣿⣿⠔⠘⠐⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡿⠿⠿⢿⠟⠉⠁⠁⠀⠀⠀⣀⣀⣀⣀⣠⣀⢠⣄⠐⢾⣶⠒⢚⣿⣿⣿⣿⣯⣭⣭⣭⣿⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘⣿⣿⣿⣿⣾⣷⣿⣿⣿⣿⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣛⣉⣩⣤⣴⣶⣶⣧⣴⣶⣶⣿⠿⠿⠟⠛⠛⠛⠋⠉⠉⡅⡜⠿⣿⣦⣘⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣟⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣇⡇⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠁⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡛⡻⣿⣿⣿⣿⣟⠛⠉⠁⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡿⠿⠟⢛⣛⣹⣽⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣗⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣀⣶⡴⠉⢻⣿⣿⣏⠀⠀⠀⠀⠾⣿⣿⣿⢙⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠏⠉⣩⣿⡛⣼⣿⣿⣿⣧⡄⢀⣤⣶⣤⠀⣶⡶⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠉⠁⠀⠈⠙⢿⡇⠀⠀⠀⠀⠤⢯⡍⢉⡮⠀⡄⠀⠀⠀⠀⠀⠀ ⣿⣿⣷⣶⣾⣿⠻⣿⣿⣿⣿⣿⣿⣇⢸⣿⢸⣿⡆⣿⣧⢿⣿⠸⣿⡿⠟⢻⣿⢻⣿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣇⠀⠀⠀⠀⠀⢸⡗⠀⠀⠀⠀⣶⣉⣁⣸⡇⠀⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣵⣶⣿⣿⣿⢿⣿⢹⣷⢸⣿⡄⣿⡇⣿⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡇⣿⡇⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠃⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⡘⣿⠸⠿⠈⠻⠿⠟⠃⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡿⣿⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⣤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⠿⢿⣯⣿⣿⣿⣿⣿⣿⣟⡍⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢹⣿⡆⣾⡿⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣤⣤⣿⣿⣷⣷⣶⣶⣤⣄⣀⣤⣤⣤⣤⠀⡀⣀⣀ ⠽⢿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⣠⡄⣿⣧⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⣀⢀⡀⠀⠀⠀⠀⠀⠀⢈⢤⠀⢰⣶⣾⣿⣿⣿⣿⣿⣿⠀⠀⡄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠶⡨⣿⣿⣿⣿⣅⠀⣾⣂⠀⠀⠀⠀⠀⠀⠘⢿⣧⣿⠇⠿⠿⠹⠿⠎⠛⠃⠛⠃⢴⣿⣿⣿⣿⣿⣷⣿⣿⣷⣶⣦⣍⣀⣀⡞⠟⠋⠙⢿⣿⣿⣿⣿⠀⠀⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡶⠰⣾⣿⣿⣿⣯⡥⠸⡇⠀⠂⠀⠂⠐⢤⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠚⠯⠟⠛⠛⠿⠿⠿⢿⣿⣿⣿⡯⣿⢩⣿⣷⣶⣲⠀⢿⣿⣿⣿⠀⢀⡏⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠉⠉⠉⢿⣿⣿⣿⣷⣤⣤⣴⣶⣤⣄⣉⡀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣍⣉⣓⡘⠛⠿⠿⠟⠀⠀⠉⠛⠋⠀⠈⠃⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠤⣤⣀⣠⣴⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠿⠿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠒⢊⣉⣻⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣿⣯⣿⣿⣿⣒⠛⣄⠀⠀⠀⠀⠐⠒⠶⣦⣴⣤⣤⣤⣤⣤⣤⣀⣀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠀⡄⠄⢤⡴⡴⣼⢽⣴⣾⡾⠏⢛⣯⣭⢽⡛⢛⣟⣿⠿⠛ ⣿⣿⣿⣭⣿⣟⡿⣿⢿⣾⣿⣿⣿⣟⣻⣿⣿⣿⣿⠛⠓⠂⣒⣀⠂⠴⠂⡀⠀⠈⠻⠿⢿⣿⣿⣿⣿⣿⣿⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠁⠑⠀⠀⣾⣹⣛⣻⣿⣻⣌⢉⡿⠯⠍⠏⢿⡣⠚⠉⠁⠀⠀⠀ ⠈⠀⠈⡀⡉⠁⠀⠸⣿⣷⣷⣯⣷⣾⣿⣾⣿⣿⣿⣷⣾⣿⣿⣿⣿⡛⠉⠐⠃⠀⠀⠀⠈⠉⠉⠛⠿⣿⡿⠟⠭⠐⠺⠲⠓⠂⢂⡀⠀⠀⠈⠉⠙⢢⡀⠀⠀⠀⠁⠀⠈⠋⠻⠻⠾⡿⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀ ⠴⢶⢿⣿⠿⣿⣦⡠⠬⣼⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣷⡖⠚⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠂⢠⣼⠀⠤⡄⠙⠀⠀⠀⢸⣷⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠲⢦⡍⠙⢠⢄⣤⣄⠄⠀⠀⠀⠀⠀⠠⡢⣰⣼⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡿⠿⠿⢿⠛⠉⠁⠁⠀⠀⢀⣀⣀⣀⣀⣤⣀⢠⣄⠐⢾⣶⠒⢚⣿⣿⣿⣿⣯⣭⣭⣽⣷⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣛⣉⣭⣤⣶⣶⣶⣧⣶⣶⣶⣿⠿⠿⠛⠛⠛⠛⠋⠉⠉⡅⡜⠿⣿⣦⣘⣤⣼⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣽⣿⣿⣿⣿⣿⣿⡟⣿⣿⣟⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣇⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠁⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢛⣿⣿⣿⣿⣿⣟⠛⠉⠁⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡿⠿⠟⢛⣛⣽⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣱⣮⡎⠙⣿⣿⣿⣏⠀⠀⠀⠀⠿⣿⣿⣿⢺⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠋⠉⣹⣿⡋⣼⣿⣿⣿⣧⡄⢀⣤⣶⣤⠀⣶⡶⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡏⠈⠋⠀⠀⠉⠻⣿⡇⠀⠀⠀⠀⠤⢯⡍⢉⡮⠀⡆⠀⠀⠀⠀⠀⠀ ⣿⣿⣷⣶⣾⣿⠻⣿⣿⣿⣿⣿⣿⣇⢸⣿⢸⣿⡆⣿⣷⢿⣿⠸⣿⡿⠟⢻⣿⢻⣿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⡇⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⣶⣉⣀⣸⡃⠀⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣵⣶⣿⣿⣿⢿⣿⢹⣿⢸⣿⡄⣿⡇⣿⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡇⣿⡇⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠁⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⡘⣿⠸⠿⠈⠻⠿⠟⠃⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⣤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⠿⢿⣯⣿⣿⣿⣿⣿⣽⣟⡅⠀⠀⠀⠀⠀⠀⠀⡀⢀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢹⣿⡆⣾⡿⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣬⣴⣿⣿⣷⣷⣶⣶⣦⣄⣀⣤⣤⣤⣤⠀⡀⣀⣀ ⠹⢿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⣠⡄⣿⣧⣿⣷⢸⣿⡏⣿⡇⠀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⣨⢤⠀⢠⣶⣶⣾⣿⣿⣿⣿⡏⠀⠀⡀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠂⡩⣿⣿⣿⣿⣄⠂⣷⡀⠄⠀⠀⠀⠀⠀⠘⣿⣧⣿⠇⠿⠿⠹⠿⠎⠛⠃⠛⠓⢴⣿⣼⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣀⣀⡞⡟⠛⢿⣿⣿⣿⣿⣏⠀⠀⡇⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡆⠠⣾⣿⣿⣿⣿⡇⠹⡅⠀⠀⠀⠀⠐⠤⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠐⠛⠉⠛⠛⠛⠻⠿⠿⠿⢿⣿⣿⣿⡷⣿⣇⣀⣀⠙⣿⣿⣿⣿⠀⠀⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠈⠉⠉⢿⣿⣿⣿⣷⣤⣤⣶⣶⣤⣤⣉⡀⠈⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣶⣶⣤⣭⣤⣙⣉⠉⠛⠈⠀⠀⠉⠛⠁⠀⠀⠃⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠤⣤⣤⣤⣼⡿⣿⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⡉⠙⠛⠛⠻⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡐⣀⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣽⣿⣿⣒⠓⣠⠀⠀⠀⠀⠐⠒⠶⣶⣶⣶⣶⣤⣤⣤⣤⣤⣄⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡐⠂⠀⣀⠶⡶⣄⢻⣽⣶⣿⣿⡏⣛⣯⣭⣿⣛⣻⣿⡿⠿⠛ ⣿⣿⣿⣽⣿⣟⡿⣿⢷⣶⣿⣿⣿⣟⣿⣿⣿⣿⣟⠋⠓⣂⣒⣀⣂⠶⢂⣀⠀⠈⠻⠟⢿⣿⣿⣿⣿⣿⣿⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠂⠒⠃⡀⣴⣸⣽⣿⣿⣿⣿⣬⣭⡿⠿⠉⢿⣿⠿⠛⠉⠀⠀⠀⠀ ⠀⠀⢀⣀⣁⠀⠀⢸⣿⣷⣷⣿⣶⣿⣿⣿⣿⣿⣿⣷⣷⣶⣾⣿⣿⡋⢉⠑⠃⠀⠀⠀⠈⠉⠉⠛⠿⣿⠿⠛⠥⠰⠿⠟⠓⠉⠀⡀⠀⠀⠉⠙⠙⣷⣦⡤⠀⡉⠉⠉⠙⠿⠿⠿⣿⣿⠿⠠⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠶⢶⣿⣿⠿⣿⣆⡠⠤⣾⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⡐⡂⠀⣻⣾⡖⣿⣿⣿⢀⢀⣘⣣⣀⣄⠙⡟⠁⠀⠀⠂⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠋⣠⣾⠀⢤⡄⠉⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣽⠀⠀⠀⠀⠀⢀⣶⣶⣾⣿⡿⣿⣶⣿⣿⣷⠂⠉⠀⠚⠛⣿⣿⣿⣿⣿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠿⠿⠿⠟⠛⠉⠀⠀⠀⢀⣀⣀⣀⣀⣠⣤⣄⣠⣤⡐⠾⣷⠉⢙⣿⣿⣿⣯⣯⣭⣭⣷⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣋⣩⣥⣴⣶⣶⣾⣥⣶⣶⣿⣿⡛⠛⠛⠛⠛⠉⠉⠉⠉⡄⡞⠿⣿⣦⣈⣢⣾⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⡿⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣇⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣀⣠⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⢛⣿⣿⣿⣿⣿⣿⠛⠉⠁⠀⣺⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡿⠿⠛⣛⣋⣽⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⣰⣦⠎⠙⣿⣿⣿⣯⠀⠀⠀⠀⠺⣿⣿⣿⢟⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠋⠁⣰⣿⣋⣼⣿⣿⣿⣧⡄⢀⣤⣶⣤⠀⣶⡶⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡏⠉⠁⠀⠈⠛⠻⣿⡇⠀⠀⠀⠀⠶⢯⣉⢉⡮⠀⡆⠀⠀⠀⠀⠀⠀ ⣿⣿⣷⣶⣾⣿⠻⣿⣿⣿⣿⣿⣿⡇⢸⣿⢸⣿⡆⣿⣷⢿⣿⠸⣿⡿⠟⢻⣿⢻⣿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⡂⠀⠀⠀⠀⠀⢻⡗⠀⠀⠀⠀⣶⣁⣀⣼⡇⠀⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣵⣶⣿⣿⣿⢿⣿⢹⣿⢸⣿⡄⣿⡇⣿⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡇⣿⡇⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⠇⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⡃⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⡘⣿⠸⠿⠈⠻⠷⠟⠃⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠁⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⣤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⢿⣯⣿⣿⣯⣿⣿⣽⣟⣅⡀⠀⠀⠀⠀⠀⠀⡀⢀⣀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢹⣿⡆⣾⡿⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢠⣼⣶⣿⣿⣷⣷⣶⣶⣶⣦⣀⣤⣤⣤⣤⣀⡀⣀⣀ ⠙⢿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⣠⡅⣿⣧⣿⣷⢸⣿⡏⣿⡇⠀⣀⣀⣀⣀⡀⠀⠀⣀⠀⠀⠄⣈⢤⠀⢰⣶⣶⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠡⢸⣿⣿⣿⣿⣅⠀⢾⣄⢀⠀⠀⠀⠀⠀⠘⢿⣧⣿⠇⠿⠿⠹⠿⠎⠛⠃⠛⠃⢴⣿⣷⣿⣿⣿⣿⣿⣿⣷⣶⣦⣍⣀⣀⡞⠟⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡖⠠⣾⣿⣿⣭⣽⡧⠸⠅⠀⠀⠀⠀⢐⠦⠠⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠋⠉⠛⠛⠛⠛⠻⠿⠿⢿⣿⣿⣷⣿⣇⣀⣙⣿⣿⣿⣿⡿⠀⠀⡆⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠈⠉⠉⢿⣿⣿⣿⣷⣦⣤⣶⣶⣤⣤⣈⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣶⣶⣶⣤⣥⠀⠀⠀⠀⠀⠉⠋⠁⠀⠀⠃⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠤⣤⣤⣤⣴⡿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⢷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠉⠉⠉⠙⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡀⣀⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣿⣿⣿⣽⣿⣿⣓⠒⣀⡀⠀⠀⠀⠘⠒⠶⣶⣶⣶⣶⣶⣶⣦⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⣴⣿⣶⡽⡯⣿⣿⣿⡏⢙⣫⣭⣽⣟⣛⣟⡿⠛⠛ ⣿⣿⣿⣽⣿⣟⡿⢿⣿⣶⣿⣿⣿⢿⣻⣿⣿⣿⣿⠋⠛⠂⣐⣆⣂⠴⢂⣀⠀⠈⠛⠿⢿⣿⣿⣿⣿⣿⣿⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⡤⢤⠷⢇⢪⣕⣶⣿⣧⣿⣿⣿⢐⣄⢟⠏⠉⠹⣻⠽⠛⠉⠀⠀⠀⠀ ⠀⠀⢀⣀⣁⠀⠀⠸⣿⣷⣷⣿⣷⣿⣿⣿⣿⣿⣿⣷⣷⣾⣶⣿⣿⡏⠁⠁⠃⠀⠀⠀⠀⠉⠉⠙⠿⣿⠿⠛⠁⠐⠛⠉⠛⠑⠄⠀⢀⠀⠉⠉⠙⣷⣤⣀⠀⠀⠉⠉⠙⠛⠛⠻⢿⡿⠱⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀ ⠴⢖⢻⣿⠿⣿⣦⡀⠀⣼⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⣂⠄⣹⣷⡖⠚⣿⠏⠀⠀⢀⡁⠀⠀⠁⢂⠀⠀⠀⠠⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⢠⣼⠀⠤⣄⠙⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⢰⢷⢶⣙⠛⢃⣷⣿⣿⡖⠈⠁⠀⠀⠀⡙⣗⢶⣻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡿⠿⠿⠿⠟⠛⠉⠀⠀⠀⢀⣀⣀⣀⣀⣠⣤⣀⢠⣄⡐⠾⣶⠉⢙⣿⣿⣿⣿⣯⣭⣽⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣋⣩⣭⣴⣶⣶⣾⣥⣶⣶⣿⣿⠛⠛⠛⠛⠛⠉⠉⠉⠁⡄⡞⠿⣿⣦⣘⣢⣾⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣇⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣀⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⣟⠛⠉⠁⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠿⢛⣛⣋⣽⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠪⣬⣭⠻⢿⣿⣿⣿⡇⠀⠀⠀⠀⠻⣿⣿⣿⢝⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠋⠀⣰⣿⣋⣾⣿⣿⣿⣧⡄⢀⣤⣶⣤⠀⣶⡶⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⠋⠛⠁⠀⠿⠿⣿⣿⡇⠀⠀⠀⠀⠶⢿⡉⢉⡾⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣷⣷⣾⣿⠻⣿⣿⣿⣿⣿⣿⡇⢸⣿⢸⣿⡆⣿⣷⢿⣿⠸⣿⡿⠟⢻⣿⢻⣿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⡦⠀⠀⠀⠀⠀⢸⣿⡗⠀⠀⠀⠀⣶⣀⣀⣼⡅⠀⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣴⣶⣿⣿⣿⢿⣿⢹⣷⢸⣿⡄⣿⡇⢿⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡇⣿⡇⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⠀⠀⠀⠀⠀⠀⠿⡇⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡿⢹⣿⡘⣿⠸⠿⠈⠻⠿⠟⠃⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⣤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⢿⣯⣿⣿⣭⣿⣿⣽⣟⣛⠁⠀⠀⠀⠀⠀⠀⡀⢀⣀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢹⣿⡆⣿⡿⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⣴⣿⣶⣿⣿⣷⣷⣶⣶⣶⣦⣀⣤⣤⣤⣤⡀⡀⣀⣀ ⠺⢿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⣈⡅⣿⣧⣽⣷⢸⣿⡏⣿⣇⠀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠄⣈⢤⠀⢰⣶⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠣⠨⣿⣿⣿⣿⣅⠀⣿⡄⠄⠀⠀⠀⠀⠀⠘⢿⣧⣿⠇⠿⠿⠹⠿⠎⠛⠃⠛⠋⢰⣿⣾⣷⣶⣿⣷⣿⣿⣿⣶⣦⣅⣀⣀⡞⠟⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡖⠪⣾⣿⣿⣭⣿⡇⠸⠅⠀⠀⠀⠂⠐⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠛⠉⠉⠉⠙⠛⠛⡛⠻⠛⠿⡿⣱⣿⣇⠀⠙⣿⣿⣿⣿⣧⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠉⠉⢿⣿⣿⣿⣷⣶⣴⣶⣶⣤⣤⣈⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣶⡖⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠦⣤⣤⣤⣴⡿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⢷⣤⡀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⢀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠻⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡉⣈⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣑⠒⣠⡀⠀⠀⠀⠘⠓⠶⣶⣶⣶⣶⡶⣶⣶⣶⣶⣶⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡀⠀⠀⠠⠶⣶⣾⣿⢿⣾⣿⡿⠍⣙⣿⣭⣽⣛⣿⣿⡿⠛⠛ ⣿⣿⣿⣽⣿⣟⡿⢿⣿⣶⣿⣿⣿⢿⣿⣿⣿⣿⣿⠋⠛⣂⣲⣆⣒⡴⢂⣀⠀⠈⠻⠟⢿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣄⡵⠟⢮⢔⣶⣲⣾⣿⣿⣿⣿⣿⣬⣟⠯⠩⣹⣿⠿⠛⠉⠀⠀⠀⠀ ⠀⠀⢀⣀⣁⠀⠀⢸⣿⣿⣷⣿⣶⣿⣿⣿⣿⣿⣿⣷⣷⣾⣾⣿⣿⡏⢉⠑⠃⠀⠀⠀⠈⠉⠉⠛⠿⣿⠿⠋⠥⠐⠟⠋⠀⠀⠀⠀⠀⠀⠈⠉⢛⣒⣤⣠⣈⣃⠁⠁⡙⠽⠛⠿⣿⣟⠚⠢⠵⠈⠁⠀⠀⠀⠀⠀⠀⠀ ⠴⢖⣻⣿⠿⣿⣆⡀⠄⣾⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⢀⡀⠂⡀⢹⣿⡶⡻⣟⣃⣀⢠⣾⣯⣤⣄⡹⣿⠇⠀⠰⠶⠀⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⢠⡼⠀⠤⣄⠉⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠂⠀⠀⠀⠀⢐⣶⣷⢾⣿⣿⣿⣭⢿⣿⢱⠉⠙⠀⠛⠩⣾⣼⣿⣿⣿⠏⠉⠁⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠿⠿⠿⠿⠛⠉⠀⠀⠀⠀⣀⣀⣀⣀⣠⣤⣠⢠⣄⠐⢾⡶⠋⢹⣿⣿⣿⣿⣭⣭⣭⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣛⣉⣭⣤⣶⣶⣶⣥⣶⣶⣾⣿⠿⠿⠛⠛⠛⠛⠉⠉⢩⡀⠟⢿⣿⣦⣙⣠⣾⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⣿⣿⣿⣿⣿⣿⣿⣿⣻⡟⣿⣿⣿⣷⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⣇⡅⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣠⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠈⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣟⠋⠉⠀⠀⣿⣿⣿⣿⢂⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡿⠿⠟⣛⣛⣽⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡛⢤⣞⡝⠿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠻⣿⣿⣿⢘⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡿⠋⠉⣹⣿⣋⣿⣿⣿⣿⣧⡄⢀⣴⣶⣤⠀⣶⡶⣿⣷⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⠛⠟⠀⠰⠿⢽⣿⣿⡇⠀⠀⠀⠀⡶⣏⡉⣉⠼⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣷⣶⣾⣿⢻⣿⣿⣿⣿⣿⣿⣇⢸⣿⢸⣿⡆⣿⣷⢿⣿⠸⣿⡿⠟⢻⣿⢻⣿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⡆⠀⠀⠀⠀⠀⢻⣿⡇⠀⠀⠀⠀⣶⣀⣀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣴⣶⣿⣿⣿⢿⣿⢹⣷⢸⣿⡄⣿⡇⢿⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡇⣿⡇⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡷⠀⠀⠀⠀⠀⠸⠿⡇⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⡘⣿⠸⠿⠈⠻⠿⠟⠃⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⣤⣶⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⠿⢿⣯⣿⣿⣿⣿⣿⣽⣟⢵⡄⠀⠀⠀⠀⠀⠀⡀⣀⣀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢹⣿⡆⣾⡿⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⣿⣿⣿⣿⣧⠀⠀⠀⠀⢠⣾⣿⣶⣿⣿⣷⣷⣶⣶⣶⣆⣀⣤⣤⣤⣤⣀⡀⣀⣀ ⠽⢿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⣨⡅⣿⣧⣿⣷⢸⣿⡎⣿⣇⠀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⣨⢤⠀⢰⣶⣾⣾⣿⣿⣿⣿⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠣⡸⣿⣿⣿⣿⣓⠀⣷⡀⠀⠀⠀⠀⠀⠀⠘⢿⣧⣿⠇⠿⠿⠹⠿⠞⠛⠃⠛⠻⢰⣿⣼⣿⣶⣿⣿⣿⣿⣷⣶⣦⣍⣀⣠⡞⡟⠿⣿⣿⣿⣿⣿⡀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡶⠤⣾⣿⣿⣿⣯⡄⠹⡃⠈⠀⠀⠂⠢⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠐⠛⠉⠉⠛⠉⠙⠛⠛⠿⠿⠿⠿⡿⣽⣿⡇⠀⠈⣻⣿⣿⣿⡇⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠉⠉⠉⢿⣿⣿⣿⣶⣤⣤⣴⣦⣤⣄⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣷⣶⡆⠀⠀⠀⠀⠈⠋⠉⠁⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡤⣤⣀⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠄⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠒⢊⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣿⣯⣿⣿⣿⣒⠒⣄⠀⠀⠀⠀⠐⠒⠶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⡀⢀⡠⣾⣾⣾⣿⢿⣿⣿⣿⣭⣙⣯⣭⣽⣟⣛⣻⡿⠛⠛ ⣿⣿⣿⣽⣿⣟⡿⣿⢷⣾⣿⣿⣿⣟⣿⣿⣿⣿⣿⠛⠓⠂⣒⣀⡢⠴⠂⡀⠀⠘⠻⠟⢿⣿⣿⣿⣿⣿⣿⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⣀⣔⢾⡿⢟⣭⣻⣿⣿⣿⣿⣿⣿⣿⣾⡿⠏⠉⢙⣿⠽⠛⠉⠀⠀⠀⠀ ⠉⠉⠈⣈⡉⠁⠀⢸⣿⣿⣷⣯⣷⣾⣷⣾⣿⣿⣿⣷⣷⣿⣾⣿⣿⡋⢉⠐⠃⠀⠀⠀⠈⠉⠉⠛⢿⣿⡿⠛⠭⠰⠿⠙⠒⠪⠙⢀⡀⠉⠉⠋⢻⣿⣧⣤⣀⢋⠙⠉⠙⠻⠿⠿⣿⠟⠄⠠⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡴⢶⣿⣿⠿⣿⣆⠠⠌⣼⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⣂⠀⣾⣷⡶⣾⣿⣗⠀⣠⣨⣄⡀⠀⠙⠛⠂⠀⠀⠄⠀⢀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠒⢠⣮⠀⢤⣔⠙⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣻⣿⣿⣿⠁⠀⠀⠀⠀⠀⣶⣶⣶⣿⡿⣷⣾⣿⣿⡿⠉⠉⠚⠻⠃⡿⡿⣿⣿⣟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡿⠿⠿⠿⠛⠉⠀⠀⠀⠀⣀⣀⣀⣀⣠⣤⣠⢠⣄⠐⢾⡶⠛⢙⣿⣿⣿⣿⣭⣭⣭⣿⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣛⣉⣭⣤⣶⣶⣶⣥⣶⣶⣾⣿⠿⠿⠛⠛⠛⠛⠉⠉⢩⡀⠟⢿⣿⣦⣙⣠⣾⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⣿⣿⣿⣿⣿⣿⣿⣿⣻⡟⣿⣿⣿⣷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⣇⡅⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣀⣀⣠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠈⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣟⠛⠉⠁⠀⣿⣿⣿⣿⢂⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡿⠿⠟⣛⣛⣽⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡳⣦⣒⠙⢿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠻⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡿⠋⠉⣽⣿⣋⣿⣿⣿⣿⣧⡄⢠⣴⣶⣤⠀⣶⡶⣿⣷⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⠻⠋⠀⢸⣿⢿⣿⣿⡇⠀⠀⠀⠀⠶⢏⡉⢉⠼⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣷⣶⣾⣿⢻⣿⣿⣿⣿⣿⣿⡇⢸⣿⢸⣿⡆⣿⣷⢿⣿⠸⣿⡿⠟⢻⣿⢻⣿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣷⡆⠀⠀⠀⠀⠈⢿⣿⡇⠀⠀⠀⠀⣶⣁⣀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣴⣶⣿⣿⣿⢿⣿⢹⣷⢸⣿⡄⣿⡇⢿⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡇⣿⡇⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠸⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⡘⣿⠸⠿⠈⠻⠷⠟⠃⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⣤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⠿⢿⣿⣿⣿⣿⣿⣿⣽⣟⣀⣀⠀⠀⠀⠀⠀⠀⡀⢀⣀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢹⣿⡆⣾⡿⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⣿⣿⣿⣿⣷⠋⠀⠀⠀⣠⣮⣼⣶⣿⣿⣷⣷⣶⣶⣶⣄⣀⣤⣤⣤⣤⠀⡀⣀⣀ ⠽⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⣤⡕⣿⣧⣿⣿⢸⣿⡎⣿⣇⠀⠀⠀⠀⣀⡀⠀⠴⠖⠒⠒⠀⣠⠤⠀⢠⣶⣶⣾⣿⣿⣿⡿⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢷⣸⣿⣿⣿⣿⣅⠀⣷⡀⠀⠀⠀⠀⠀⠀⠘⢿⣧⣿⠇⠿⠿⠹⠿⠎⠛⠃⠛⠻⢰⣿⣽⣿⣷⣿⣿⣿⣿⣶⣶⣤⣍⣀⣠⡞⡟⠻⣿⣿⣿⣿⣷⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡶⠴⣾⣿⣿⣿⣯⡄⠹⡃⠈⠀⠀⠀⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠛⠩⠛⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⠃⠀⡈⠙⢿⣿⣿⡄⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠉⠉⠉⢿⣿⣿⣿⣶⣤⣤⣴⣦⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣶⣶⣶⣶⡄⠀⠀⠈⠉⠀⠙⠛⠁⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣤⣤⣄⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢄⣉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢒⢋⢉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣿⣯⣿⣿⣿⣒⠢⣄⠀⠀⠀⠀⠐⠒⢶⣶⣶⣶⣶⣶⣶⣶⣶⣴⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡤⣠⣀⣠⣤⣷⣿⣿⣿⣿⣿⣿⣟⣛⣯⣭⣽⣿⣿⣿⡿⠿⠛ ⣿⣿⣿⣽⣿⣟⡿⣿⢿⣮⣿⣿⣿⣟⣿⣿⣿⣿⣿⠛⠓⠂⣒⣀⠢⠴⠆⠀⠀⠘⠻⠿⢿⣿⣿⣿⣿⣿⣿⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⡿⠭⣽⣿⠿⠟⠋⠁⠀⠀⠀ ⠉⠉⠈⡈⠉⠁⠀⢸⣿⣿⣷⣯⣿⣾⣿⣾⣿⣿⣿⣷⣿⣿⣿⣿⣿⡛⢉⠚⠃⠀⠀⠀⠈⠉⠉⠛⢿⣿⡿⠟⡍⣴⠾⠓⠢⢲⢡⣀⠀⠈⠉⠋⣻⣿⣷⣄⣜⣛⣟⠛⠻⠿⠿⢿⣿⣿⡿⢧⡾⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⡴⢶⣿⣿⠿⣷⣆⠠⠬⣼⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠐⣖⣠⣰⣷⣶⣾⣿⡷⠠⣤⣾⣏⣄⣜⠻⣿⠿⠁⠴⠶⠀⣤⡉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠒⣠⣦⠀⢤⣄⠝⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿⣻⣿⣿⣿⠅⠀⠀⠀⠀⠀⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⠋⠙⡽⢻⠿⣿⣾⣿⣿⣿⡟⠋⠑⠸⠐⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠿⠿⢿⠛⠉⠁⠁⠀⠀⢀⣀⣀⣀⣀⣤⣠⢠⣄⠐⢾⣶⠚⢙⣿⣿⣿⣿⣭⣭⣭⣿⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⢴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣛⣋⣩⣥⣤⣶⣶⣥⣶⣶⣶⣷⠿⠿⠟⠛⠛⠛⠋⠉⠉⡅⡝⠿⣿⣦⣘⣠⣼⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣽⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣇⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣠⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⠋⠉⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠿⠿⠛⠛⣿⣽⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡃⣤⣫⠙⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⠻⣿⣿⣿⢝⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠏⠉⣩⣿⡟⣽⣿⣿⣿⣧⡄⢀⣤⣶⣤⠀⣶⡶⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⠻⠋⠀⢸⡿⢿⣿⣿⡇⠀⠀⠀⠀⠶⢿⣉⢉⡾⠀⡀⠀⠀⠀⠀⠀⠀ ⣿⣿⣷⣶⣾⣿⠿⣿⣿⣿⣿⣿⣿⣇⢸⣿⢸⣿⡆⣿⣧⢿⣿⠸⣿⡿⠟⢻⣿⢻⣿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⡆⠀⠀⠀⠀⠀⢿⣿⡗⠀⠀⠀⠀⣶⣀⣀⣼⡅⠀⠇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣥⣶⣿⣿⣿⢿⣿⢹⣷⢸⣿⡄⣿⡇⣿⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡇⣿⡇⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⡇⠀⠀⠀⠀⠀⠸⠿⡇⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⡁⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⡘⣿⠸⠿⠈⠻⠷⠟⠁⠙⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠿⠿⢿⣿⠇⠀⠃⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⣤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⢿⣯⣿⣿⣭⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢹⣿⡆⣾⡿⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⣿⣿⣿⣿⣶⠙⠁⠀⠀⢠⣶⣾⣶⣿⣿⣷⣷⣶⣶⣶⣶⣀⣤⣤⣤⣤⣄⡀⣀⣀ ⠽⢿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⣠⣭⣿⣧⣿⣿⢸⣿⡏⣿⣇⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⣈⢠⠀⢠⣶⣶⣿⣿⣿⣿⣿⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢲⠈⣿⣿⣿⣿⣗⠀⢼⣤⢀⠀⠀⠀⠀⠀⠘⢿⣧⣿⠇⠿⠿⠹⠿⠎⠛⠃⠛⣳⠠⣿⣷⣿⣷⣿⣷⣿⣿⣷⣶⣦⣭⣀⣀⡞⠟⠻⣿⣿⣿⣿⣿⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡦⠤⣾⣿⣿⣿⣯⡅⠸⡏⠀⠂⠀⠠⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠿⠭⠹⡛⠛⠛⠿⡿⠿⣿⠿⢿⣿⣿⣿⡇⠀⠈⠻⣿⣿⣿⡇⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠄⠈⠉⠙⢻⣿⣿⣿⣶⣤⣤⣴⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⢸⣶⣶⣶⣦⣬⣬⣍⠁⠀⠀⠐⠊⠙⠛⠁⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣤⣤⣀⣀⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⣍⠉⠉⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠒⡋⣉⣻⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣓⠲⣄⠀⠀⠀⠀⠐⠒⠶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡄⢀⡀⣤⣴⣶⣶⣿⣿⣿⣿⣿⣯⣙⣫⣭⣽⣟⣛⣟⡻⠛⠛ ⣿⣿⣿⣽⣯⣿⡿⢿⡿⣮⣽⣿⣿⣿⣿⣿⣿⣿⣿⠟⠓⠒⣒⣀⡂⠤⠆⠀⠀⠈⠻⠿⢿⣿⣿⣿⣿⣿⣿⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣜⣟⣶⣶⣾⣿⣿⣿⣿⣿⣿⣺⣏⣿⡟⠉⢽⣙⡼⠛⠉⠁⠀⠀⠀ ⠉⠉⠉⡈⠉⠉⠀⢸⢿⣿⣿⣿⣿⣾⣿⣾⣿⣿⣿⣷⣾⣿⣿⣿⣿⡛⠉⡒⠓⠀⠀⠀⠀⠉⠉⠛⠿⣿⡿⠟⠭⠐⠻⠛⠉⠈⠀⢀⡀⢁⠛⠋⢛⣿⣶⣤⡈⡉⢉⠋⠙⠻⠟⠿⢗⣟⠨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⠶⣾⣿⠿⣷⣦⠀⠍⣵⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⣖⢈⣽⣷⣶⢺⣿⡗⠀⠀⣈⠎⡀⢀⠈⠚⠃⠀⠀⠄⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠒⢀⣴⡂⢤⣄⠿⠀⠀⠀⠘⣿⣿⣷⣿⣿⣿⣿⣿⡯⢽⣿⣿⣿⣿⣿⣿⣿⠭⠀⠀⠀⠀⠀⣰⣶⣶⣿⣻⢷⡿⣾⣿⣿⠋⠉⠁⠫⠁⠸⠭⣽⣯⣫⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡿⣿⡿⠿⠟⠉⠉⠉⠁⠀⠀⠀⣀⣀⣀⣀⢠⣄⠀⢼⡶⠒⢚⣿⣛⣿⣿⣏⣭⣭⣽⣷⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⢴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠟⢛⣋⣩⣥⣤⣴⣂⣤⣶⣶⡶⠶⠿⠿⠿⠛⠛⠛⠛⠉⡅⣾⠿⣷⣦⣹⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣽⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣇⡇⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⠋⠉⠀⠀⣿⣿⣿⣿⢧⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡿⠿⠿⠟⣻⣽⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⡪⣭⣥⠹⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠻⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠏⠈⣩⣿⡟⣽⣿⣿⣿⣧⡄⢀⣴⣶⣤⠀⣶⡶⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠟⠛⠁⠀⢿⠯⣿⣿⣿⡇⠀⠀⠀⠀⡶⣟⡁⢉⡟⠀⡃⠀⠀⠀⠀⠀⠀ ⣿⣿⣯⣤⣼⣿⠿⣿⣿⣿⣿⣿⣿⣇⢸⣿⢸⣿⡆⣿⣧⢿⣿⠸⣿⡿⠟⢻⣿⢻⣿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⠀⠀⠀⠀⠀⠘⣿⣿⡗⠀⠀⠀⠀⣾⣤⣀⣼⡅⠀⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣣⣤⣾⣿⣿⢿⣿⢹⣷⢸⣿⡄⣿⡇⣿⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡇⣿⡇⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⠁⠀⠀⠀⠀⠀⠹⠿⡇⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡘⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠿⠿⠿⠿⠇⠀⠃⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⣤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⢿⣯⣿⣿⣯⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢹⣿⡆⣾⡿⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⢿⣿⣿⣿⣶⠞⠇⠀⠀⢰⣶⣶⣶⣿⣿⣷⣿⣶⣶⣶⣶⣤⣶⣶⣶⣤⣀⣄⣠⣤ ⠿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⣠⣭⣿⣧⣿⣷⢸⣿⡮⣿⣇⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⢈⠠⠀⢰⣶⣶⣷⣿⣿⣿⣿⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢦⡸⣿⣿⣿⣿⣗⠀⢸⣆⠀⠀⠀⠀⠀⠀⠘⢿⣧⣿⠏⠿⠿⠻⠿⠏⠛⠃⠛⢳⠀⣼⣿⣿⣿⣿⣿⣿⣿⣶⣶⣦⣭⣄⣀⡞⠛⠛⢷⣿⣿⣿⣿⡄⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡶⢬⣬⣿⣿⣟⣻⣇⠸⡗⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠐⠿⠟⠛⠻⠿⠿⢿⣿⣿⣿⣿⡿⣿⢿⣾⣇⠀⠀⠙⢿⣿⣿⣧⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠩⠀⠛⠛⢻⣿⣿⣷⣶⣤⣤⡀⠉⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠆⠀⠉⢩⣧⣌⣉⣙⣓⠛⠙⠓⠀⠀⠀⢀⠙⠛⠃⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣤⣄⣀⣀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣀⠀⠀⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠤⠤⠤⠟⢛⡛⠿⠿⠿⠿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢙⣙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡃⠝⣛⢻⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣷⣿⣒⠤⢄⠀⠀⠀⠀⠀⠒⠶⣶⣶⣶⣦⣤⣤⣤⣤⣤⣀⡀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⡠⣤⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣯⣽⣿⣿⣿⠿⠛⠋ ⣷⣿⣿⣟⣿⣿⣿⣿⣿⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⡿⠓⠒⢀⣤⡀⠤⠶⠀⠀⠈⠛⠿⠿⣿⣿⣿⣿⣿⣿⣧⣤⡀⠀⠀⠀⠀⣀⡀⢀⣀⣀⣠⣠⣿⣻⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣖⣺⣿⠿⠛⠉⠀⠀⠀⠀ ⠉⠉⠉⠉⠙⠉⠁⢈⣿⣿⣿⣿⣽⣽⣿⣿⣿⣿⣿⣿⣾⣭⣿⣿⣿⣟⠉⡚⠛⠀⠀⠀⠀⠉⠉⠙⠿⣿⡿⠿⠭⠥⢿⠿⢿⠿⠷⣏⣁⢉⡙⠛⠻⣿⣷⣶⣔⣍⣉⣫⡛⠿⠟⠿⢿⣿⣿⠷⠾⠚⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⣤⣾⣿⢿⢷⣦⠀⢉⢩⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⡄⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⣚⣆⣼⣿⣶⣞⣿⣿⣆⣀⣾⣿⣧⣤⡽⣿⣿⠁⠀⠿⠇⠠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠳⢀⣴⡂⢠⣄⠿⠅⠀⠀⠈⣿⣿⣷⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿⣟⣿⣿⣿⡯⠀⠀⠀⠀⠀⣰⣶⣶⣿⡻⣷⣿⣿⣿⣿⡟⠉⢽⣾⣿⣿⣿⣿⣿⣿⣿⢟⠉⠈⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠋⠉⠉⠀⠀⠀⠀⢀⣀⢀⢠⡀⠠⣼⣴⠒⢲⣶⣟⣛⣿⣟⣿⣭⣭⣿⣷⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⠟⢛⣉⣩⣥⣤⣂⣤⣤⣴⣶⣶⠶⠾⠿⠿⠿⠛⠛⠋⡉⡾⣿⣷⣄⠹⢤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣌⣿⣿⣿⣿⣿⣿⣿⣿⣻⡟⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⣇⡇⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣠⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠐⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⠋⠉⠀⠀⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡿⠿⠿⣻⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠫⣬⣥⠻⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠻⣿⣿⣿⢝⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠟⠒⣲⣿⡿⣹⣿⣿⣿⣧⡄⢠⣴⣶⣤⠀⣶⡶⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠟⠛⠁⠀⣾⠥⣿⣿⣿⡇⠀⠀⠀⠀⠶⢿⣉⢉⡾⠀⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣯⣤⣼⣿⠿⣿⣿⣿⣿⣿⣿⣇⢸⣿⢸⣿⡆⣿⣧⢿⣿⠼⣿⡿⠿⢿⣿⢻⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣷⠀⠀⠀⠀⠀⠘⣿⣿⡗⠀⠀⠀⠀⣶⣀⣀⣼⡇⠀⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣧⣤⣾⣿⣿⢿⣿⢹⣿⢸⣿⡌⣿⡇⣿⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡇⣿⡇⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⠀⠀⠀⠀⠀⠀⢻⠿⡇⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡘⣿⠸⠿⠀⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠿⠿⢿⣿⠇⠀⠇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⣴⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⣿⣯⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⢹⣿⡆⣾⣟⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⣿⣿⣿⣿⣶⠴⠖⠀⠀⢠⣶⣼⣶⣿⣿⣷⣿⣶⣶⣶⣶⣀⣤⣤⣤⣤⣤⣄⣀⣀ ⢻⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⣠⣍⣿⣧⣿⣷⢸⣿⡮⣿⣇⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⢐⢤⠀⢠⣴⣶⣾⣿⣿⣿⣿⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢆⠨⣿⣿⣿⣿⣗⠄⢰⡄⠀⠀⠀⠀⠀⠀⠘⢿⣧⣿⠏⣿⠿⢿⣿⠏⠟⠃⠛⢳⠀⣴⣿⣽⣿⣿⣿⣿⣿⣶⣶⣦⣭⣀⣀⡾⠟⠛⢷⣿⣿⣿⣿⡄⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣤⣍⣬⣿⣿⣿⣟⣂⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠠⡀⠀⠀⠐⢼⣛⠛⠿⠿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣾⣇⠀⠀⠙⢿⣿⣿⣧⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠉⠐⠛⠛⢿⣿⣿⣷⣦⣄⣀⠐⠶⢶⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⣉⣑⠛⠓⠚⠛⠛⠄⠀⠀⠀⠙⠛⠋⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣄⣀⣀⢀⣀⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣄⣀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣔⣒⣺⡿⠻⠿⠿⠿⣿⣷⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠥⠌⠛⢻⣿⣷⣿⣿⣿⣿⣾⣿⣿⣷⣿⣿⣿⣷⣶⣆⠤⠁⡀⠀⠀⠀⠐⠲⢶⣄⣤⣤⣤⣤⣭⣭⣥⣀⣀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣀⣀⣴⣷⣿⣿⣿⢿⣿⣿⣯⣙⣿⣯⣿⣿⣻⣿⡿⠛⠛ ⣷⣿⣿⣟⣿⣿⢿⣿⣿⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⠿⠳⠦⢡⣤⠠⠤⠤⠀⠀⠈⠻⠿⢿⣿⣿⣿⣿⣿⣿⣥⣄⡀⠀⠀⠀⠀⠀⡀⠀⣀⣀⣀⣀⣔⠿⣿⣖⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⠻⣿⣿⡿⠟⠋⠁⠀⠀⠀ ⠙⠛⠉⠋⠛⠛⠁⢘⣷⣿⣿⣽⣿⣽⣿⣿⣿⣿⣿⣷⣾⣭⣭⣿⣿⣟⠋⡛⠓⠀⠀⠀⠀⠙⠋⠻⢿⣿⣿⠿⢯⠡⡿⠿⠿⢿⠿⢍⡁⠈⠛⠛⠛⣿⣿⣦⡌⣋⣙⣛⢻⠿⠿⠿⢿⣿⡿⠷⠶⠍⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⣤⣴⣿⢿⢶⣦⠀⣉⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣦⣸⣶⣶⣾⣿⣿⢦⢀⣰⣼⣭⣨⡿⣿⡿⠀⠀⠷⠠⢤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠣⢄⣤⡀⢠⣄⠽⠆⠀⠀⠘⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠀⠀⠀⠀⠀⢰⣶⣶⣾⣿⣿⣿⣿⣿⣿⡟⠙⣩⢿⡟⢿⣿⣿⣿⣿⣟⠛⠁⢊⢗⠂⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠉⠉⠉⠁⠀⠀⠀⣀⣀⣀⣀⢠⣄⠀⢼⣶⠒⢲⣾⣟⣛⣿⣿⣯⣭⣽⣿⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠟⢛⣋⣩⣥⣤⣴⣆⣤⣴⣶⣶⠶⠿⠿⠿⠛⠛⠛⠛⠉⡅⣽⠿⣷⣆⠹⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣌⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣇⡇⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣀⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣟⠛⠉⠁⠀⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠿⠿⠟⣻⣽⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⠬⣌⡍⢻⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠻⣿⣿⣿⢝⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠏⠀⣩⣿⡟⣹⣿⣿⣿⣧⡄⢠⣴⣶⣤⠀⣶⡶⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠟⠛⠁⢰⣿⢽⣿⣿⣿⡇⠀⠀⠀⠀⠶⢯⡉⢉⡾⠀⠂⠀⠀⠀⠀⠀⠀ ⣿⣿⣯⣤⣼⣿⠿⣿⣿⣿⣿⣿⣿⣇⢸⣿⢸⣿⡆⣿⣧⢿⣿⠸⣿⡿⠟⢻⣿⢻⣿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣷⠀⠀⠀⠀⠀⠸⣿⣿⡗⠀⠀⠀⠀⣶⣁⣀⣼⡇⠀⡅⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣣⣤⣿⣿⣿⢿⣿⢹⣷⢸⣿⡄⣿⡇⣿⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡇⣿⡇⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⠀⠀⠀⠀⠀⠀⢿⢿⡇⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡘⡿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠿⣿⣿⣿⡇⠀⠃⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⣤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⣿⣯⣿⣿⣿⣿⣿⣽⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⣀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢹⣿⡆⣾⡿⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⣿⣿⣿⣿⣶⠰⠆⠀⠀⢠⣮⣬⣷⣿⣿⣷⣷⣶⣶⣶⣤⣀⣤⣤⣤⣤⣄⣀⣀⣀ ⠻⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⣅⣬⣿⣧⣿⣷⢸⣿⡮⣿⣇⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⢐⢤⠀⢠⣴⣶⣮⣿⣿⣿⣿⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣦⠘⣿⣿⣿⣿⡗⠄⢸⠀⠀⠀⠀⠀⠀⠀⠘⢿⣧⣿⠟⡿⠿⢿⡿⠎⠟⠃⠛⢳⠀⢤⣾⣽⣿⣿⣿⣿⣿⣷⣶⣦⣭⣀⣀⡾⠟⠛⠳⣿⣿⣿⣿⡀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣤⠯⣽⣿⣿⣟⣿⣆⠸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠒⠼⢛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠈⢻⣿⣿⣇⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠉⠀⠛⠛⢿⣿⣿⣷⣦⣄⡀⢀⣀⣀⣠⣴⣶⡾⠃⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⣈⣙⣛⠓⠛⠛⠓⠀⠀⠀⠀⠙⠿⠃⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣤⣠⣀⣀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠿⠿⠿⠿⣿⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⢝⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡃⠋⡛⢻⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣶⣶⣤⣄⣀⠀⢀⠀⠀⠀⠀⠐⠲⢶⣦⣤⣤⣤⡤⢤⣤⣤⣤⣄⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢀⢀⣀⣽⣾⣿⣿⣿⣿⣿⣿⣿⣛⣿⣯⣽⣿⣿⣿⡿⠛⠛ ⣷⣿⣿⣟⣿⣿⣿⣿⣿⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⠟⠳⠒⢡⣤⠠⠤⠤⠀⠀⠈⠻⠭⡠⠴⠾⢿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⢀⡀⠀⢀⣀⣀⣀⣾⣾⣿⣷⣿⣷⣿⣿⣿⣿⣿⣿⣯⣿⡿⡻⣿⣿⡿⠟⠋⠁⠀⠀⠀ ⠉⠉⠉⠉⠛⠉⠁⢸⣿⣿⣿⣿⣽⣼⣿⣿⣿⣿⣿⣿⣮⣭⣽⣿⣿⣟⠋⡛⠓⠀⠀⠀⠈⠛⠊⠻⢿⣿⣿⠿⢯⢥⢿⠿⣿⢿⡿⣝⠈⠉⠿⠛⠻⣿⣿⣢⣉⣙⣛⣟⡛⣿⠿⣿⣿⣿⣿⠿⠷⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⣤⣾⣿⠿⣷⣦⠀⢉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣁⣾⣷⣶⣾⣿⣿⡆⢠⣼⣾⣧⣨⣿⣿⡿⠊⠰⠷⠆⢠⣌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠳⢀⣴⡂⢤⣄⠿⠀⠀⠀⠘⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠭⠀⠀⠀⠀⢀⣴⣶⣶⣿⣻⢿⣾⣿⣿⣿⡟⠉⢽⡻⢿⣿⣿⣿⣿⣿⣿⠛⠉⠉⣥⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠋⠛⠋⠉⠉⠀⠁⠁⠀⣀⡀⣀⡀⠠⣼⣤⠖⠲⣶⣶⣿⣛⣟⣟⣿⣯⣭⣭⣿⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣘⣿⣿⣿⣷⣶⣶⣶⣾⣿⣿⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⠿⢛⣋⣩⣭⣤⣖⣨⣤⣤⣶⣶⣶⠾⠿⠿⠿⠟⠛⠛⡃⡹⣿⣷⣌⠙⢄⣬⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⣻⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⠅⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠉⠀⣽⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⢠⣚⡉⢻⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠺⣿⣿⣿⣗⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡟⠒⣒⣾⣿⣸⣿⣿⣿⣿⡄⢀⣴⣶⣤⠀⣶⡶⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠟⠁⢠⣿⣔⣿⣿⣿⣿⠀⠀⠀⠀⢠⣽⠍⠉⡮⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣤⣬⣿⡿⣷⣿⣿⣿⣿⣿⡇⢸⣿⢸⣿⡆⣿⣧⣿⣿⠼⣿⡿⠿⢿⣿⢿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣾⣷⠀⠀⠀⠀⠈⠹⣿⣿⣿⠀⠀⠀⠀⣸⣉⠁⣸⡇⠀⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣏⣤⣾⣿⣿⢿⣿⢹⣿⢸⣿⡌⣿⡇⢿⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡆⣿⡇⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⠃⠀⠀⠀⠀⠀⢿⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡘⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⢴⣶⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠻⢿⣿⣿⣿⣿⣟⣻⣻⣟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠠⠀⠀⢼⣿⠹⣿⡆⣾⣟⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠻⣿⣿⣿⣿⣤⠰⠆⠀⠀⢠⣤⣤⣥⣽⣿⣿⣾⣶⣤⣤⣤⣤⣤⣤⣤⣀⠀⣀⢀⣀ ⢻⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡅⣀⣜⣿⣧⣿⣷⢸⣿⡏⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠐⢠⠀⢠⣤⣴⣮⣿⣿⣿⣿⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⡈⣿⣿⣿⣿⡷⠄⢰⠀⠀⠀⠀⠀⠀⠀⠘⢿⣧⣿⠏⣿⠿⣿⣿⠏⠟⠃⠛⢳⠁⢂⣴⣿⣿⣷⣶⣶⣶⣶⣦⣇⣸⡂⠀⡶⠿⠟⠳⣿⣿⣿⣿⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣤⣽⣿⣿⣿⣿⣿⣂⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠇⠀⠈⠁⠀⠀⠀⠀⠀⠠⢼⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡾⠀⠀⠈⠻⣿⣿⣇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡉⠐⠛⠻⢿⣿⣿⣷⣦⣄⡀⠀⢀⣀⣀⣰⣤⡤⠲⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣉⣉⠓⠒⠛⠿⠿⠷⠄⠀⠀⠀⠙⠿⠋⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣀⣀⡀⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠁⠉⠒⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠿⠿⢿⣿⣷⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⢻⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠯⠽⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣶⣠⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠶⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⠀⠑⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⣀⡀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⠿⠟ ⣶⣿⣿⣟⣟⣿⢿⣿⣿⣭⣻⣿⣿⣿⢿⣿⣿⣿⣿⡷⠲⠤⠠⢀⠀⣠⡄⠀⠀⠉⠿⣿⠿⠿⢛⣿⣿⣿⣿⣧⣀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⡯⣽⣿⣿⠿⠛⠉⠀⠀⠀ ⠛⠛⠋⠋⠛⠛⠉⢘⣷⣿⣿⣽⣿⣭⣿⣽⣿⣿⣿⣷⣴⣴⣯⣿⣿⡿⠒⠻⠶⠀⠀⠀⠀⠒⠛⠻⣿⣿⣿⣿⢟⣡⣶⣶⣿⣿⣿⣟⠛⠛⣻⠟⠿⣿⣿⣯⣉⣹⣛⡛⢻⣿⣿⣿⣿⣿⣿⣿⣿⠊⠉⠀⠀⠀⠀⠀⠀⠀ ⢠⣤⣴⣿⢶⣶⣤⠀⣉⣋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣵⣶⡀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠉⠈⠀⢿⢏⣿⣷⣶⡼⣿⣿⠌⠀⣸⣿⣏⣉⣿⣿⣿⠋⠑⠶⠆⢀⡈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠧⠄⣠⡀⣠⣄⣽⠆⠀⠀⠚⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⣰⣶⣦⣾⣿⣷⣶⣿⣿⣿⣿⠛⠩⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⣟⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⡿⠛⠛⠛⠉⠉⠉⠉⠁⠀⢀⠀⢀⡀⠠⣼⣤⠤⠶⣶⣶⣾⣿⣛⣛⣻⣿⣭⣭⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣶⣶⣾⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⠿⠟⢛⣋⣉⣩⣍⣁⣤⣤⣤⣴⣶⣶⡶⠿⠿⠿⠛⠛⡋⡹⣿⣶⣌⠹⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣻⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣟⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⡇⡏⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠁⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠋⠉⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⠿⢿⣻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡧⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⢤⣞⡈⢻⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠺⣿⣿⣿⢏⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡟⠓⣒⣶⣶⣺⣿⣿⣿⣷⡄⢠⣴⣶⣤⠀⣶⡶⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠟⠁⢠⣿⣼⣿⣿⣿⣿⠀⠀⠀⠀⠠⢿⡉⢉⡮⠀⡂⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣠⣬⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⢸⣿⡆⣿⣧⣿⣿⢾⣿⡿⠿⢿⣿⢿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣾⣷⠀⠀⠀⠀⠀⠸⣿⣿⡿⠀⠀⠀⠀⣰⣉⣁⣸⡇⠀⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣏⣀⣼⣿⣿⣿⣿⢹⣿⢸⣿⡌⣿⡇⣿⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡇⣿⡇⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⠃⠀⠀⠀⠀⠀⢿⣿⣇⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡸⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠃⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⢴⣶⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠻⢿⣿⣿⣿⣿⣟⣻⣻⣟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⠹⣿⡆⣾⣟⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠻⣿⣿⣿⣿⣥⠰⠆⠀⠀⢀⣤⣤⣥⣽⣿⣿⣾⣶⣶⣤⣤⣀⣤⣤⣤⣤⡄⣀⣀⣀ ⢿⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠉⠀⢸⣿⡆⣀⣔⣿⣧⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠐⢂⡀⢠⣤⣴⣮⣿⣿⣿⣿⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣦⡭⣿⣿⣿⣿⡧⠀⢰⠀⠀⠀⠀⠀⠀⠀⠘⢿⣧⣿⠏⣿⠿⣿⣿⠏⠟⠃⠛⢓⠁⢆⣴⣖⣾⣷⣶⣶⣶⣶⣶⣆⣸⡂⠀⡶⢿⠟⠛⢿⣿⣿⣿⡄⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣨⣵⣟⣿⣿⣿⢿⣆⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠇⠀⠈⠉⠀⠀⠀⠀⠀⠠⢬⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡾⠀⠀⠈⠻⣿⣿⣧⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣙⡀⠻⠿⢿⣿⣿⣿⣤⣀⠀⠀⠀⠀⢀⣤⣤⡦⠔⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣉⣉⡒⠒⠛⠿⠻⠷⠤⠀⠀⠀⠈⠻⠋⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣀⣀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣾⣿⣿⠏⠉⠉⢤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠿⠿⢿⣿⣷⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠯⠽⠿⢿⣿⣿⣿⣿⣿⣿⣭⣿⣿⣿⣿⣦⡀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⣀⠀⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⣀⣀⣼⣿⣷⣿⣿⣿⣿⣿⣿⣛⣻⣿⣿⣿⣿⣿⣿⠿⠟ ⣶⣶⣿⣾⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠈⠁⠀⠀⣀⣤⠀⠀⠉⠿⣟⠛⠛⢻⣿⣿⣿⣿⣇⣀⠠⠀⠀⠀⠀⠀⢀⠀⣀⣀⡀⣀⣄⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⠿⣿⣿⣿⠿⠛⠉⠀⠀⠀ ⠛⠛⠛⠛⠻⠛⠛⠉⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣷⣴⣦⣄⣀⣀⠀⠀⠪⠶⠀⠀⠀⠀⠒⠈⠻⣿⣿⣿⣿⣟⣃⣶⣶⣿⡿⣿⣟⡋⠛⡻⠿⠿⣿⣾⣮⣉⣛⣛⣛⠻⣿⣿⣿⣿⣿⣿⣿⢎⠍⠉⠀⠀⠀⠀⠀⠀⠀ ⢀⣄⣤⣾⢶⣦⣄⠀⢛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣵⣶⡀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠈⠩⢺⢥⣻⣶⣶⣾⣿⣿⢁⢠⣰⣿⣯⣭⣿⣿⣿⠏⠹⠶⠆⢄⣌⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠯⠤⣦⣈⢩⣄⣽⡦⠀⠀⠚⣿⣿⣯⣾⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣟⠁⠀⠀⠀⠀⢰⣶⣦⣾⢿⣷⣴⣾⣿⣿⣿⠛⡏⠻⣻⣿⣿⣿⣿⣿⣿⠛⠛⢛⣻⡀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⠛⠛⠛⠉⠉⠉⠁⠀⠀⢀⡀⠀⣹⣤⠤⢤⣶⠶⣶⣾⣟⣛⣛⣿⣯⣭⣭⣭⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣷⣶⣶⣾⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡿⠿⠟⣛⣋⣉⡍⣉⣀⣠⣤⣤⣤⣶⣶⠶⠶⠿⠿⠛⡋⣺⣿⣦⣌⢻⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⣻⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣟⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⡇⡏⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠁⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠠⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣟⠛⠉⠁⠀⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⢤⣚⡈⢿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠻⣿⣿⣿⢝⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡿⠭⢥⣴⣶⣺⣿⣿⣿⣧⡄⢠⣴⣶⣤⠀⣶⡶⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠟⠁⢰⢿⣼⣿⣿⣿⡧⠀⠀⠀⠀⠤⢯⡉⢉⡮⠀⡂⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣁⣨⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⢸⣿⡆⣿⣇⣿⣿⣸⣿⡿⠿⢿⣿⢿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣶⠀⠀⠀⠀⠀⠹⣿⣿⡿⠀⠀⠀⠀⣶⣉⣀⣸⡇⠀⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣟⣀⣼⣿⣿⣿⣿⢹⣿⢸⣿⡌⣿⡇⢿⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡆⣿⡏⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡸⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⡃⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⢴⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⣿⣿⣟⣿⣿⣟⣻⣻⣗⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠹⣿⡆⣾⡟⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠻⣿⣿⣿⣿⣤⠲⠂⠀⠀⢠⣤⣤⣥⣿⣿⣷⣾⣶⣦⣤⣄⣀⣤⣤⣤⣤⣄⣀⣀⣀ ⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠐⠂⠀⢸⣿⡀⣀⣴⣿⣧⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠐⢀⠀⢠⣤⣴⣮⣿⣿⣿⣿⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣝⣝⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣧⣿⠟⣿⣿⣿⣿⠎⠟⠃⠛⢻⠀⢀⣴⣖⣾⣷⣶⣶⣶⣶⣦⣄⡛⡀⠀⡾⢿⣿⡿⣿⣿⣿⣿⡀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣉⣳⣹⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠁⠀⠈⠁⠀⠀⠀⠀⠈⠤⣌⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡞⠁⠀⠈⢿⣿⣿⣇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠛⠩⠿⠿⣿⣿⣿⣯⣄⡀⠀⠀⠀⠀⠀⣄⣀⡠⢤⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣉⣉⠛⠓⠫⠿⠻⠣⠄⠀⠀⠀⠙⠿⠏⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠁⠀⠀⠀⢈⣿⣿⣿⣿⣿⣷⣶⣶⣾⡿⢙⣯⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⠿⠿⣿⣿⣷⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣛⣛⠷⣾⣿⣿⣿⣿⣿⣿⣽⣿⢿⣿⣦⣀⠀⠁⠀⠈⠉⠁⠀⠀⠀⠀⠠⠤⣤⣤⣠⣤⣀⣀⣀⣀⣀⣀⣀⠐⠓⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⣀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣻⣿⣿⣿⣿⠿⠛ ⣤⣦⣾⡾⣿⣿⣿⣿⣿⣛⣿⣿⣿⣾⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠙⢿⣟⠻⠿⢿⣿⣿⣿⣿⣄⡀⠠⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⣀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⠿⣿⣿⣿⠿⠛⠉⠀⠀⠀ ⠿⠿⠟⠟⠿⠿⠚⢹⣯⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣶⣔⣂⣀⣀⣀⠀⠐⠶⠦⠀⠀⠀⠀⠂⠘⢿⣿⣿⣿⣿⣟⡣⣶⣶⣿⣶⣿⣟⠋⠛⣿⠿⠿⣿⣿⣋⣝⣟⢛⡻⠻⣿⣿⣿⣿⣿⣿⡿⡧⠍⠉⠀⠀⠀⠀⠀⠀⠀ ⢀⣀⣠⣶⢶⣤⣄⠈⠛⢛⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣥⣦⠀⠀⠀⠀⠀⠀⠀⠉⠉⠋⠛⠋⠡⢮⢅⢺⣶⣤⣴⣿⣿⡌⡠⣰⣾⣍⣙⣿⣿⣿⠇⠤⠶⠆⢠⣈⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢟⡠⣬⡉⢌⣐⣿⡤⠄⠠⠿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⠀⠀⠀⠀⠀⣠⣦⣤⣾⣿⣦⣶⣶⣾⣿⡿⠛⠫⣻⢿⣿⣿⣿⣿⣿⣿⡛⠛⠛⣛⡀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⠿⠿⠟⠛⠛⠛⠛⠋⠉⠁⠀⠀⠀⢀⣧⣀⡤⣤⣤⣤⣾⡶⠶⠾⣿⣛⣛⣿⣿⣭⣭⣭⣿⣶⣶⣶⣿⣿⣿⣷⡶⢼⣿⣿⣶⣾⣿⣷⣶⣶⣶⣾⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡿⠿⠟⠛⣋⡛⢋⣉⣀⣀⣤⣤⣤⣤⣶⣶⡶⠶⠿⠘⣿⣷⣌⡙⢯⠀⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣥⣶⣶⣿⣿⣿⣿⣾⣿⣿⣿⣯⠉⠉⠉⠀⠀⠀⠀⠀⢸⣼⠍⢹⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣟⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠃⠀⣿⣿⣿⣿⠀⠄⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⣀⠖⠻⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⢿⣿⣿⣿⠰⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡿⠯⠭⣥⣤⣾⣿⣿⣿⣧⡄⢠⣴⣶⣤⠀⣶⡶⣿⣷⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡿⠟⠁⣸⣟⣹⣿⣿⣿⡇⠀⠀⠀⠀⣬⡟⠛⢻⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡟⣁⣈⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⢸⣿⡆⣿⣧⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣄⠀⠀⠉⠈⠈⢿⣿⣿⡇⠀⠀⠀⠀⣥⠋⠁⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠏⢀⣾⣿⣿⣿⣿⢻⣿⢸⣿⡎⣿⡇⢿⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡆⣿⡟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠸⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡸⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⢤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠿⣿⣿⣿⣿⣿⣿⡿⡿⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠄⠀⢸⣿⠹⣿⡆⣼⡟⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠿⢿⣿⣿⣿⣿⡠⣶⠀⠀⠀⢀⣒⣒⣒⣾⣿⣯⣦⣤⣤⣤⣄⠀⣀⣀⣀⣀⠀⠀⠀⠀ ⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠄⠀⠀⢸⣿⠀⣀⣤⣿⣯⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣀⠀⢀⣀⣬⣽⣿⣿⣿⣿⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿ ⣙⢻⣿⣿⣿⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣧⣿⢿⣿⣿⣿⣿⠆⠛⠧⠛⢳⠀⠀⣠⡤⣴⣦⣤⣤⣤⣤⣤⡁⠶⠈⠀⣼⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣛⢯⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⠁⠁⠙⠋⠀⠀⠀⠀⠘⢄⣘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣶⣧⣽⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠏⠉⢿⣿⣿⣷⣿⣇⡀⠀⠀⠀⠀⠀⠀⡀⢀⢀⢠⡄⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠈⠉⠉⠉⠛⠛⠫⠿⠿⡿⣿⣟⠿⠛⠻⠻⢿⢿⡏⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠁⠀⠀⠀⠹⣿⣿⣿⣿⣷⣶⣴⣶⣶⣾⠛⣛⣀⣈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⣿⣿⣶⣦⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣟⣿⣶⣶⣾⣿⣿⣿⣿⣿⣻⣿⣿⣷⣄⡀⠈⠉⠀⠛⠂⠀⠀⠀⠀⠀⢠⣄⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠒⠢⠄⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣽⣷⣶⣿⣿⣿⣿⣿⣿⠿⣿⣛⣿⣿⣿⣿⣿⡿⠿ ⣔⣤⣦⣾⣿⣿⣿⣿⣿⠻⢿⣿⣿⣿⣿⣿⣷⣶⣤⣀⠀⠀⠀⠀⠀⢀⡀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⣻⣿⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀ ⠿⠿⠿⠿⠿⠿⠟⢻⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣤⣠⣤⣀⣂⣤⡤⠀⢴⣄⠀⠀⠉⠐⠬⠿⣿⣿⣿⣿⣿⡿⢂⣶⣶⣶⣶⣾⡖⠚⠸⣾⠿⣿⣿⣽⣛⣛⢻⣿⢿⢿⣿⣿⣿⣿⣿⣿⣟⣘⡛⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⢀⣠⣤⢤⣄⡀⠘⠽⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⣦⣦⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠫⠺⠁⣩⡽⢿⣯⣬⣽⣶⣶⠁⠠⣈⣿⡛⠻⣿⣿⣿⠋⢲⣯⣄⣈⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣚⣠⣌⡛⣏⣷⣿⣄⠀⠤⢿⣿⣿⣏⣽⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣠⣤⣠⣴⣶⣆⣴⣶⣾⣿⡿⠿⢟⢿⣿⣿⣧⣾⣿⣷⡿⠛⠋⢟⢃⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⠿⠿⠿⠛⠛⠛⠛⠛⠉⠉⠀⠀⠀⠀⣧⣀⣀⣤⣤⣤⣤⣷⡶⠶⠶⣾⣟⣛⣛⣿⣿⣯⣭⣽⣷⣶⣶⣾⣿⣿⣟⢻⣷⣶⣮⣭⣭⣭⣭⣭⣶⣶⠂⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡿⠿⠛⠛⣋⡛⢋⣉⣀⣀⣠⣤⣤⣤⣴⣶⣶⡶⠶⠸⣿⣦⣌⠛⢯⠀⣺⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣥⣶⣶⣿⣿⣿⣿⣾⣿⣿⣿⣯⠉⠉⠉⠁⠀⠀⠀⠀⢸⣸⠉⢹⣿⣷⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠃⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠸⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⡡⠏⢻⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⢤⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡿⠯⢭⣥⣤⣾⣿⣿⣿⣧⡄⢠⣴⣶⣤⠀⣶⡶⣿⣧⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⣹⣯⣿⣿⣿⣿⡇⠀⠀⠀⠀⣸⡿⠿⢿⡒⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡟⣀⣨⣿⡿⣿⣿⣿⣿⣿⣿⡇⢸⣿⢸⣿⡆⣿⣷⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣯⡀⠀⠀⠉⠉⠻⣿⣿⣿⡇⠀⠀⠀⠀⣛⠓⠂⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠏⢀⣿⣿⣿⣿⣿⢻⣿⢸⣿⡊⣿⡇⢿⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡇⣿⡟⠿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⢸⣿⣿⠇⠀⠀⠀⠀⣿⣷⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡸⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣜⣿⡟⠀⠀⠀⠀⠀⠀⠉⠉⠃⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⢤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⣿⣿⣿⣿⡿⠿⣿⣿⢿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠹⣿⡆⣼⡟⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠻⠿⣿⣿⣿⣿⣷⣠⡤⠀⠀⠀⢀⣀⣄⣀⣶⣾⣇⣆⣀⣀⣀⣀⢀⡀⣀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠅⠀⠀⠀⠀⠀⢀⡀⠀⠀⢸⣿⠀⣀⣤⣿⣿⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⢀⣀⣨⣻⣿⣿⣿⣿⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣷⣷⣶ ⣙⢻⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣧⣿⢿⣿⣿⣿⣿⠎⠛⢃⠛⠓⢠⠀⣠⣤⣶⣦⣤⣤⣤⣤⣤⠀⠾⠙⢀⣽⣿⣿⣻⣿⣿⣿⣇⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣛⢼⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠉⠛⠃⠀⠀⠀⠀⠁⣸⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣞⣧⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠏⠹⣿⣿⣿⣾⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠁⠈⠈⠙⠛⠛⠻⠿⢿⣟⡿⣿⡏⠿⠛⠿⠿⢿⢿⠇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠁⠀⠀⠀⢻⣿⣿⣿⣿⣷⣦⣴⣶⣶⠾⠻⠋⣈⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣷⣶⣶⣶⣤⡌⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣛⢿⣶⣶⣾⣿⣿⣿⣿⣟⣿⣿⣿⣷⣤⡀⠀⠀⠈⠛⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠰⠄⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣾⣿⡿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿ ⣢⣴⣦⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣀⠀⠀⠀⠀⠀⢀⡀⠈⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣶⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠉⠀⠀ ⠿⠿⠿⠿⡿⠿⠛⢿⣿⣿⣿⡿⣿⣳⣿⣿⣿⣿⣿⣄⣤⣤⣀⣤⣀⡈⠀⢤⡀⠀⠈⠉⠉⠩⠿⣿⣿⣿⣿⣿⠷⢠⣤⣴⣶⣶⣶⡶⠾⢿⣿⣿⣿⣿⣿⡛⡿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣺⡻⠛⠉⠀⠀⠀⠀⠀⠀ ⢀⢀⣤⣦⢤⣀⠀⠸⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣔⣤⡄⠀⠀⠀⠀⠀⠀⠙⠛⠛⠻⠟⠟⡩⣽⣯⢿⣏⣉⣿⣦⣆⠀⡀⢼⣿⠛⠻⣿⣷⡾⠘⢸⣽⢈⣉⠛⠟⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣛⣤⣜⠛⣉⢷⣶⡄⠠⠴⢿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⣀⣄⣠⣴⣶⣄⣤⣦⣿⣷⡿⢿⣿⣿⢿⣿⣦⣾⣿⣿⡿⠿⠚⠛⠃⠀⠀⠉⠈⠙⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠿⠿⠿⠿⠛⠛⠛⠛⠋⠉⠀⠀⠀⠀⢀⣧⣀⣀⣤⣤⣤⣼⣷⠶⠶⠶⣿⣛⣛⣛⣿⣿⣯⣭⣽⣷⣶⣶⣾⣿⣿⣟⢻⣷⣶⣮⣭⣭⣭⣭⣭⣶⣶⠂⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠿⠿⠛⣛⣉⠛⢋⣉⣀⣀⣤⣤⣤⣤⣶⣶⡶⠶⠿⠘⣿⣷⣌⠛⢯⠀⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠹⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣯⠉⠉⠉⠀⠀⠀⠀⠀⢸⣼⠉⢹⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠃⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠘⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⡡⠎⢻⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡿⠭⢭⣵⣦⣿⣿⣿⣿⣧⡄⢠⣴⣶⣤⠀⣶⡶⣿⣧⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⣹⣯⣿⣿⣿⣿⡇⠀⠀⠀⠀⣸⡿⠿⢿⢒⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣟⣀⣨⣿⡿⣿⣿⣿⣿⣿⣿⡇⢸⣿⢸⣿⡆⣿⣷⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣯⡄⠀⠀⠉⠉⠛⣿⣿⣿⡇⠀⠀⠀⠀⣻⠓⠂⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠏⣀⣾⣿⣿⣿⣿⢻⣿⢸⣿⡏⣿⡇⢿⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡆⣿⡟⠿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⢸⣿⣿⠇⠀⠀⠀⠀⣿⣷⣶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡸⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣟⠀⠀⠀⠀⠀⠀⠉⠉⠃⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⢤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⣿⣿⣿⣿⡿⠿⢿⣿⢿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠹⣿⡆⣼⡿⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠻⠿⣿⣿⣿⣿⣷⢠⡤⠀⠀⠀⢀⣠⣄⣠⣶⣾⣇⣆⣀⣀⣀⣀⢀⡀⣀⠀⠀⠀⠀⠀⠀ ⢿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⢀⠀⠀⠀⣸⣿⠀⣀⣤⣿⣿⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠠⠠⠀⢀⣀⣨⣻⣿⣿⣿⣿⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣷⣷⣶ ⣝⢻⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣧⣿⢿⣿⣿⣿⣿⠎⠛⢇⠛⡳⢠⠀⢠⡤⣶⣦⣤⣤⣤⣤⣠⠀⠾⠙⢀⣼⣿⣿⣻⣿⣿⣿⣧⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣛⣺⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⠀⠀⠛⠃⠀⠀⠀⠀⠀⣸⡈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣞⣧⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠋⠹⢿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠁⠀⠈⠉⠛⠛⠻⠿⢿⣿⡿⣿⡓⠿⠙⠿⠿⠿⣿⠇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠁⠀⠀⠀⢻⣿⣿⣿⣿⣿⣶⣶⣶⣶⠾⠻⠓⣈⣈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣷⣶⣶⣶⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣛⡿⢶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡄⠀⠀⠈⠛⠂⠀⠀⠀⠀⠀⢠⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠴⠤⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣾⣿⣾⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⣴⣶⣿⣿⣿⣿⣿⣟⡻⣿⣿⣷⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⢀⡀⠈⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⡿⠟⠛⠉⠀⠀ ⠿⠿⠿⠻⠿⠗⠋⢿⣽⣿⣿⡿⣟⣳⣿⣿⣿⣿⣿⣄⣄⣤⣀⣀⣀⠉⠀⠀⠀⠀⠈⠁⠹⠿⠛⣿⣿⣿⣿⣿⡷⢤⣤⣴⣶⣴⣶⡶⠾⠿⣿⢿⣿⣿⣟⡛⢛⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡾⠿⠛⠁⠀⠀⠀⠀⠀⠀ ⣀⣀⣤⣦⢤⣀⠀⠘⠿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣔⣴⡄⠀⠀⠀⠀⠀⠀⠙⠛⠻⠛⠝⠛⠸⡉⣉⣭⣭⣍⣿⣦⣜⠀⢀⣸⣟⠛⢻⣷⣿⣟⠁⢮⣍⡉⡉⠟⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣛⣤⣼⠛⣉⣿⣷⠤⠠⠴⢿⣿⣿⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠗⠀⠀⠀⠀⠀⣀⣄⣠⣶⣶⣤⣤⣶⣶⣾⠝⢿⠿⢿⣿⣿⣮⣤⣿⣿⣿⠗⠚⠛⠀⠀⠀⠀⠉⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⠛⠛⠛⠛⠛⠉⠉⠀⠀⠀⠀⢀⣣⣀⡤⣤⣤⣤⣾⡷⠶⠶⢾⣿⣛⣛⣛⣿⣿⣯⣭⣽⣷⣶⣶⣾⣿⣿⣟⢸⣷⣶⣮⣭⣭⣭⣭⣭⣶⣶⠂⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠿⠿⢛⣛⣋⣩⠍⣋⣀⣠⣤⣤⣤⣤⣶⣶⣶⠶⠾⠿⠘⣿⣷⣌⠛⢯⠀⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠁⠀⠀⠀⠀⠀⠀⢸⣼⠁⢹⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠃⠀⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⡩⠏⢻⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢀⣿⣿⣿⣿⢄⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠯⠭⢤⣶⡖⣿⣿⣿⣿⣧⡄⢠⣴⣶⣤⠀⣶⡾⣿⣧⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⢿⠿⠀⣹⡯⣿⣿⣿⣿⡇⠀⠀⠀⠀⣹⡿⠿⢿⠆⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣏⣀⣸⣿⠿⣿⣿⣿⣿⣿⣿⡇⢸⣿⢸⣿⡆⣿⣷⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣯⡀⠀⠀⠉⠉⠛⣿⣿⣿⡇⠀⠀⠀⠀⡫⠓⠂⣾⠁⢸⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⢃⣠⣿⣿⣿⢿⣿⢹⣿⢸⣿⡉⣿⡇⢻⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡆⣿⡟⠿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⢹⣿⣿⠇⠀⠀⠀⢠⣿⣶⣶⣿⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡘⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⡟⠀⠀⠀⠀⠀⠈⠉⠙⠃⠀⠀⠀⢸⣿⣿⣿⣿⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⢤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⣿⣿⢿⣿⡿⠿⣿⣿⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠈⠉⠙⠛⠛⠀⠈⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠹⣿⡆⣼⡟⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠻⠿⣿⣿⣿⣿⣷⢠⡄⠀⠀⠀⢀⣠⣄⣠⣶⣾⣣⣄⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⣠⣦⣿⣿⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⣀⣀⣨⢻⣿⣿⣿⡏⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⣶⣶ ⣭⢻⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠁⠀⠀⠀⢙⣿⣧⣿⢿⣿⣿⣿⡿⠎⠛⠇⠛⡗⠠⠀⣠⡤⣶⣤⣤⣤⣤⣤⣈⠀⠦⠁⢀⣽⣿⣿⣻⣿⣿⣿⡇⠀⠀⠀⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡙⢚⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⡘⠀⠈⠋⠁⠀⠀⠀⠀⠡⣸⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣦⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠋⠽⠿⢿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠁⠀⠉⠙⠛⠛⠿⠿⣽⣿⡿⣿⡻⢟⠙⠿⠿⣿⣿⠃⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⣻⣿⣿⣿⣿⣿⣶⣶⣶⣶⠾⠻⠃⣈⣈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣶⣶⣶⣦⣤⡀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣻⠿⢷⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣷⣦⡀⠀⠀⠈⠛⠀⠀⠀⠀⠀⠀⢤⣄⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠴⠤⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿ ⣶⣶⡷⢿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣷⣶⣤⢀⠀⠀⠀⠀⠀⣀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⠿⠛⠉⠀⠀ ⠿⠟⠟⠻⠿⠟⠉⣿⣽⣿⣿⣿⣟⣿⣿⣿⣿⣿⣷⣄⣄⣄⣐⣦⣤⠀⠀⠂⠀⠀⠈⠉⠻⠿⠛⢉⣭⣽⣿⣿⠖⣤⣤⣴⣦⣶⣶⠾⠻⠿⣿⢿⣿⣾⣟⡛⠿⢿⣿⡿⣿⣿⣿⣿⣿⣿⣟⣿⣛⠿⠛⠉⠀⠀⠀⠀⠀⠀ ⣀⢠⣴⣶⢤⣄⠀⠙⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣰⣴⡀⠀⠀⠀⠀⠀⠀⠚⠛⠛⠛⠿⠟⢋⡛⠉⣬⣭⣉⣷⣦⡖⠀⠀⣿⡿⠛⢿⣷⣿⡧⠥⢩⣉⠉⠉⠻⠟⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡫⢤⣌⢋⣬⣿⣶⠠⠠⠴⢿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⢠⣀⣤⣶⣶⣤⣴⣶⣶⡞⡽⠿⣟⣿⣿⣿⣤⣼⣿⣽⣷⠷⠊⠹⠀⠀⠀⠉⠈⠛⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⠛⠛⠛⠛⠛⠉⠉⠀⠀⠀⠀⢀⣣⣀⡤⣤⣤⣤⣾⣷⠶⠶⢶⣿⣛⣛⣛⣿⣿⣿⣭⣽⣿⣶⣶⣶⣿⣿⣿⢹⣷⣶⣯⣭⣭⣭⣭⣭⣥⣴⡂⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠿⠿⢛⣛⣋⣩⠍⣋⣀⣠⣤⣤⣤⣤⣶⣶⣶⠶⠾⠿⠘⣿⣷⣌⠛⢯⠀⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠁⠀⠀⠀⠀⠀⠀⢸⡼⠈⢹⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⠀⣶⣶⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⡩⠏⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢀⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡯⠭⢴⣶⡖⣿⣿⣿⣿⣧⡄⢠⣴⣶⣤⠀⣶⡾⣿⣧⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⢿⡿⠀⣹⡿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣹⡿⠿⢿⠆⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣏⣀⣸⣿⠿⣿⣿⣿⣿⣿⣿⡇⢸⣿⢸⣿⡆⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣯⡀⠀⠀⠉⠉⠻⣿⣿⣿⡇⠀⠀⠀⠀⡩⠓⠂⣾⠁⢸⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⢃⣠⣿⣿⣿⢿⣿⢻⣿⢸⣿⡈⣿⡇⢿⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡆⣿⡟⠿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⢹⣿⣿⠇⠀⠀⠀⢠⣿⣶⣶⣿⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡸⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⡟⠀⠀⠀⠀⠀⠈⠉⠙⠃⠀⠀⠀⢸⣿⣿⣿⣿⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡟⡛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⢤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⣿⣿⢿⣿⡿⢿⣿⣿⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠈⠉⠛⠛⠛⠀⠘⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠹⣿⡆⣼⡟⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⣿⣿⣿⣿⣷⢠⡄⠀⠀⠀⢀⡤⣤⣢⣶⣾⣧⣄⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⣠⣦⣿⣿⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠄⠄⠀⢀⣀⣨⣻⣿⣿⣿⡏⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣶⣶⣶⣶ ⣍⣻⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠰⠜⢿⣧⣿⢿⣿⣿⣿⡿⠎⠻⠇⠛⡗⠠⠀⢠⣤⣶⣤⣤⣤⣤⣤⣬⠠⠎⠁⢀⣽⣿⣿⣻⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣛⢞⣿⣿⣿⣿⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠄⠀⠀⡸⠀⠈⠋⠁⠀⠀⠀⠀⠡⣸⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣯⣿⢿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠫⠽⠿⢿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠉⠉⠉⠙⠛⠛⠿⠿⣿⣻⡿⣿⡙⠛⡙⠿⢿⣿⣿⠃⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⣻⣿⣿⣿⣿⣿⣶⣶⣤⣤⣴⣦⠆⠀⣀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣶⣶⣶⣦⣤⡀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣛⠿⢷⣿⣿⣿⣿⣿⣿⣯⣿⡿⣿⣿⣭⡀⠈⠉⠉⠙⠉⠀⠀⠀⠀⠀⣤⣄⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠴⠄⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⣶⡷⢿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣷⣶⣤⣀⠀⠀⠀⠀⠀⢀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢶⣦⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⠿⠛⠉⠀⠀ ⠿⠿⠟⠻⠿⠟⠉⣿⣽⣿⣿⣿⣟⣷⣿⣿⣿⣿⣷⣄⣄⣄⣒⣦⣤⠀⠀⠀⠀⠀⠉⠉⠻⠿⠟⠛⣛⣻⣿⣿⠶⣤⣤⣴⣶⣶⣶⠾⠿⣿⣿⣿⣷⣾⣟⠛⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀ ⣀⣠⣴⣶⢤⣄⠀⠙⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣐⣤⡀⠀⠀⠀⠀⠀⠀⠚⠛⠻⠛⠿⠻⠛⣯⣬⣿⣍⣉⣷⣦⡿⠀⠀⣿⣿⠛⢿⣾⣷⡟⠓⣻⡙⠉⡉⠿⠟⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡫⢤⣼⢋⣨⣿⣶⠤⠀⠴⢿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⢀⣤⣄⣠⣶⣶⣤⣴⣶⣧⣴⠿⢿⣿⣿⣿⣧⣤⣽⣿⣿⣷⠿⠟⠛⠀⠀⠈⠉⠙⠛⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠟⠟⠛⠛⠛⠛⠋⠉⠁⠀⠀⠀⢀⣳⣀⣤⣤⣤⣤⣴⣷⠶⠶⠶⣿⣛⣛⣛⣿⣿⣿⣭⣽⣿⣶⣶⣶⣿⣿⣿⢸⣷⣶⣮⣭⣭⣭⣭⣭⣥⣴⡆⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡿⠿⠛⣛⣋⣉⠍⣉⣀⣠⣤⣤⣤⣤⣶⣶⣶⡶⠾⠿⠚⣾⣷⣄⡙⢯⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠁⠀⠀⠀⠀⠀⠀⠸⡧⠅⢹⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠠⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⣶⣶⣿⣷⠀⡀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⡩⠍⢻⣿⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⣿⣿⣿⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡯⠭⢥⣶⡶⣻⣿⣿⣿⣧⡄⢠⣴⣶⣤⠀⣶⡶⣿⣷⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⡿⠀⣹⡿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣹⡿⠿⢿⠰⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣟⣀⣸⣿⡿⣿⣿⣿⣿⣿⣿⡇⢸⣿⢸⣿⡆⣿⣧⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣯⡀⠀⠀⠉⠉⠛⣿⣿⣿⡇⠀⠀⠀⠀⣫⠗⠂⣾⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⢏⣀⣿⣿⣿⣿⣿⢻⣿⢸⣿⡍⣿⡇⢿⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡆⣿⡟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢹⣿⣿⡇⠀⠀⠀⠀⣿⣶⣶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡸⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⠀⠀⠀⠀⠀⠀⠉⠙⠃⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⢿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⢤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⣿⣿⢿⣿⡿⠿⣿⣿⢿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠰⠂⠀⠀⠀⠉⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠸⠃⠀⠀⠀⠀⠀⠀⠀⠄⠀⢸⣿⠹⣿⡆⣼⡟⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⣿⣿⣿⣿⣷⢠⡤⠀⠀⠀⢀⣤⣤⣢⣶⣶⣇⣄⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⢸⣿⠀⣀⣦⣿⣿⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠠⠤⠀⢀⣀⣠⣻⣿⣿⣿⣿⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣶⣶⣶⣶ ⣭⣻⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⠘⢿⣧⣿⢿⣿⣿⣿⣿⠎⠛⠇⠛⡓⢠⠀⢀⣤⢶⣦⣤⣤⣤⣤⣤⠀⠾⠙⢀⣽⣿⣿⣻⣿⣿⣿⣏⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣛⢞⣿⣿⣿⡿⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⡀⠀⠀⣸⠀⠀⠛⠁⠀⠀⠀⠀⠁⣸⡄⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣞⣧⣿⢿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠋⠽⠿⢿⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠉⠉⠉⠙⠛⠛⠿⠿⢿⣿⡿⣿⡉⠛⡉⠿⠿⣿⣿⠇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⣹⣿⣿⣿⣿⣿⣶⣶⣤⣤⣤⣤⠤⠀⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣷⣶⣶⣶⣤⡀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣛⠿⢷⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣯⡉⠈⠉⠉⠈⠉⠁⠀⠀⠀⠀⢠⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠴⠄⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿ ⣴⣾⣷⢿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣷⣶⣤⣀⠀⠀⠀⠀⠀⢀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠶⣶⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢾⣿⣿⣿⣿⠿⠛⠋⠀⠀ ⠿⠟⠟⠻⠿⠗⠉⣿⣽⣿⣿⣿⣟⣷⣿⣿⣿⣿⣿⣄⣄⣄⣒⣦⣤⠀⠀⠀⠀⠀⠈⠁⠹⠿⠟⠛⣛⣻⣿⣿⠷⣤⣤⣴⣦⣴⣶⠶⠿⢿⣿⣿⣷⣾⣹⡛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⡽⡿⠛⠉⠀⠀⠀⠀⠀⠀ ⣀⣠⣴⣶⢤⣤⡀⠙⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣰⣤⡀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠛⠿⠛⠞⢿⣉⣬⣍⣉⣷⣦⡞⠀⠀⣽⡟⠛⢿⣷⣾⡯⠰⣿⡉⠉⡉⠿⠿⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡫⢤⣼⢋⡈⣿⣷⠤⠀⠤⢿⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⣠⣄⣠⣴⣶⣤⣤⣶⣷⣞⣻⡿⠟⣿⣿⣧⣭⣷⣿⣽⣿⠋⠛⠻⠁⠀⠈⠉⠉⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⠛⠛⠛⠛⠛⠉⠉⠁⠀⠀⠀⢀⣧⣀⣤⣤⣤⣤⣴⣷⠶⠶⠶⣾⣟⣛⣛⣻⣛⣿⣭⣭⣽⣷⣶⣶⣿⣯⣏⣹⣶⣶⣭⣭⣷⣯⣭⣭⣭⣵⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠿⠿⢛⣛⣋⣉⠍⣋⣀⣠⣤⣤⣤⣤⣶⣶⣶⡶⠶⠿⠘⣿⣷⣌⠙⢯⠀⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠉⠁⠀⠀⠀⠀⠀⢸⣼⠉⢹⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠇⠀⣶⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⠩⠏⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢀⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡯⠭⢥⣶⡖⣿⣿⣿⣿⣧⡄⢠⣴⣶⣤⠀⣶⡾⣿⣧⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⢿⡞⠀⣻⡿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣹⡿⠿⢟⠆⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣏⣀⣸⣿⠿⣿⣿⣿⣿⣿⣿⡇⢸⣿⢸⣿⡆⣿⣷⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣯⡀⠀⠀⠋⠋⠻⣿⣿⣿⡇⠀⠀⠀⠀⡩⠷⠀⣾⠁⢸⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⢋⣠⣿⣿⣿⢿⣿⢻⣿⢸⣿⡉⣿⡇⢿⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡇⣿⠟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⢹⣿⣿⠇⠀⠀⠀⢠⣿⣶⣶⣿⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡸⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⡟⠀⠀⠀⠀⠀⠈⠛⠛⠃⠀⠀⠀⢸⣿⣿⣿⣿⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⢤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠘⠛⠛⠛⠛⠀⠘⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⢻⣿⣛⠁⠀⠀⠀⠀⠀⠀⠀⠄⠀⢸⣿⠹⣿⡆⣼⡟⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⢿⣿⣿⣿⣿⣶⢠⡄⠀⠀⠀⢠⠄⠤⢠⣶⣶⣦⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣧⠻⣿⠀⠀⠀⠀⠀⠀⠀⡇⡀⠀⢸⣿⠀⣠⣬⣿⣿⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⢀⣀⣘⣿⣿⣿⣿⡏⠁⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣯⣴⣶⣶⣶ ⣍⢿⣿⣿⣧⡉⠀⠀⠀⠀⠀⠀⠀⢇⡀⠀⠘⢿⣧⣿⢿⣿⣿⣿⡿⠎⠻⠇⠛⡓⠠⠀⢀⣤⣶⣤⣠⣤⣤⣤⣀⠠⠎⠉⢀⣿⣿⣿⣻⣿⣿⣿⡇⠀⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡙⣚⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⡸⠀⠈⠛⠁⠀⠀⠀⠀⠃⣸⡀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣞⣭⣿⢿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠩⠽⠿⢿⣿⣶⣧⣄⠀⠀⠀⠀⠀⠀⠀⠙⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠉⠉⠉⠉⠙⠛⠛⠿⢿⣽⣻⣿⣿⠉⠛⠉⢿⢿⣿⣿⠇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⣻⣿⣿⣿⣿⣷⣦⣤⣤⣄⣀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣶⣶⣶⣦⣄⡀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣛⠿⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠉⠐⠚⠀⠐⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠄⠶⠈⠉⠉⠙⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿ ⣤⣶⡷⣿⣿⣿⣿⣿⣟⠿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠴⣤⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⡷⢾⣿⣿⣿⣿⠿⠛⠋⠉⠀ ⠿⠿⠟⠻⠿⠟⠉⣿⣽⣿⣿⣿⣟⣷⣿⣿⣿⣿⣯⣀⣤⣤⣶⣦⣤⠀⠀⠀⠀⠀⠉⠉⠻⠿⠿⠟⣛⣛⣿⣿⠦⣤⣤⣤⣤⣴⣶⠶⠶⢾⣷⣶⣶⣦⣟⠻⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣯⣽⡿⠟⠉⠁⠀⠀⠀⠀⠀ ⣀⢠⣴⣤⢤⣄⠀⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣰⣤⠀⠀⠀⠀⠀⠀⠀⠚⠻⠿⠻⠟⠟⡘⣯⣉⣩⣉⣉⣷⣴⡜⠀⠈⣽⡿⠿⢿⣶⣿⡯⠢⣝⡋⠙⠛⠿⠿⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣫⢤⣞⢋⣨⣷⣦⠀⠠⠴⣿⣿⣿⣭⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⠀⠀⠀⠀⣀⣀⣠⣴⣦⣤⣤⣴⣾⣴⠿⢿⡿⣿⣿⣳⣄⣾⣿⣿⢷⠾⠛⢟⠀⠀⠈⠁⠘⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠛⠛⠛⠛⠋⠉⠁⠀⠀⠀⢀⢣⣀⣀⣤⣤⣤⣤⣴⣶⠶⠶⢶⣿⣛⣛⣛⣛⣿⣯⣭⣭⣭⣶⣶⣾⣿⣷⣸⣶⣾⣭⣝⣓⣛⣯⣭⣭⣽⡄⠀⠊⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡿⠿⠛⣛⣋⣉⠍⣋⣁⣀⣀⣤⣤⣤⣴⣶⣶⡶⠶⠿⠘⣾⣧⣌⠙⢯⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠉⠁⠀⠀⠀⠀⠀⢸⣼⠍⢹⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠏⠀⣶⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢉⠝⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡿⠭⢭⣶⡦⣿⣿⣿⣿⣧⡄⢠⣴⣶⣤⠀⣶⡶⣿⣧⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣮⣿⡾⠀⣻⡿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢙⡿⠿⢿⠮⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣏⣀⣨⣿⡿⣿⣿⣿⣿⣿⣿⡇⢸⣿⢸⣿⡆⣿⣷⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣯⡀⠀⠀⠋⠋⠹⣿⣿⣿⡇⠀⠀⠀⠀⣭⠵⠀⣾⠉⢐⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⢋⣀⣿⣿⣿⣿⣿⢻⣿⢸⣿⡋⣿⡇⢿⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡇⣿⠟⠿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⢹⣿⣿⡇⠀⠀⠀⢀⣷⣶⣶⣿⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡘⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⡟⠀⠀⠀⠀⠀⠈⠛⠛⠃⠀⠀⠀⢸⣿⣿⣿⣿⠀⢀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⢤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠹⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠰⠄⠀⠀⠘⠛⠛⠛⠛⠀⠐⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠄⠀⢸⣿⠹⣿⡆⣼⡿⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠻⠿⢿⣿⣿⣿⣿⣷⢠⡄⠀⠀⠀⠠⠄⠤⢠⣴⣶⣦⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡄⢶⣶⣭⠀⠀⠀⠀⠀⠀⠀⡇⡀⠀⢸⣿⠀⣠⣬⣿⣿⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡀⠀⠀⢀⣀⣘⣿⣿⣿⣿⡏⠁⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣷⣦⣴⣶⣶⣶ ⡍⢻⣿⣦⡻⣿⠀⠀⡀⠀⠀⠀⠀⣇⡀⠀⠘⢿⣧⣿⢿⣿⣿⣿⡿⠎⠛⢧⠛⡓⢠⠀⢀⣤⣶⣤⣨⣤⣄⣤⣠⠠⠎⠉⢀⣿⣿⣿⣻⣿⣿⣿⡇⠀⠀⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡛⢺⣿⣿⣷⠌⠀⠀⠉⠀⠀⠀⠀⠹⠀⡆⠀⠀⠀⠀⡸⠀⠈⠛⠁⠀⠀⠀⠀⢃⣸⡀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣞⣭⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠩⠽⠿⢿⣿⣶⣦⣄⠀⠀⠀⠀⠀⠀⠲⡄⡀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠉⠉⠉⠉⠛⠛⠛⠿⢿⣽⣻⣿⣿⠙⢞⠙⢻⡿⣿⣿⠇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⣻⣿⣿⣿⣿⣷⣦⣤⣤⣀⡀⠈⠁⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣶⣶⣶⣦⣄⡀⠀⠀⠈⠀⠀⠀⠁⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣛⠿⢶⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⠃⠀⠒⠋⠀⠂⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠄⠴⠌⠉⠉⠙⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿ ⣦⣶⡶⣿⣿⣿⣿⣿⣟⡿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠠⠶⣤⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⠿⠛⠋⠉⠀ ⠿⠟⠟⠻⠿⠟⠉⣿⣽⣿⣿⣿⣟⣾⣿⣿⣿⣿⣯⣀⣤⣤⣶⣶⣤⠄⠀⠀⠀⠀⠉⠉⠹⠿⠿⠟⣛⣛⣻⣿⠦⣤⣤⣤⣤⣴⣶⠶⠴⢶⣿⣶⣶⣦⣯⠻⡿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣟⡫⡝⡿⠟⠉⠁⠀⠀⠀⠀⠀ ⣀⣠⣴⣤⢤⣄⠀⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣰⣤⠀⠀⠀⠀⠀⠀⠀⠚⠛⠻⠿⠽⠟⠘⠋⢍⣬⣉⣙⣦⣴⣞⠁⢈⣻⡿⠿⢷⣾⣽⡿⠏⡭⣍⠉⡛⠿⠿⠋⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣫⢤⣜⢋⡸⣷⣦⠠⠠⠴⣿⣿⣿⣭⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⠀⠀⠀⠀⣀⣀⣠⣶⣦⣠⣤⣴⣧⣮⡿⢿⡿⣿⣿⣇⣤⣲⣿⣿⣻⠻⠟⠛⠀⠀⠈⠉⠙⠇⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠟⠛⠛⠛⠛⠛⠉⠁⠀⠀⠀⠀⢧⣀⣀⣀⣤⣤⣤⣤⣤⣶⠶⠶⢶⣿⣟⣛⣛⣻⣿⣯⣭⣭⣭⣶⣶⣶⡦⢶⣶⣭⣝⣛⣓⣒⣒⣒⣬⣭⠄⠐⠒⠒⠛⠁⠀⠀⠀⠁⠀⠀⠀⠀⠀ ⣿⡿⠿⠛⣛⣋⣉⠍⣋⣁⣀⣀⣤⣤⣤⣤⣶⣶⡶⡶⠶⠘⣿⣧⣌⠛⢏⠀⣸⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠉⠉⠉⠀⠀⠀⠀⠀⢸⣼⠉⢹⣿⣷⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣷⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⣶⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠘⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢉⡝⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⢀⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠯⠭⢥⣶⡦⣿⣿⣿⣿⣧⡄⢀⣴⣶⣤⠀⣶⡾⣿⣧⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣬⣷⡶⠈⣻⡟⣿⣿⣿⣿⡇⠀⠀⠀⠈⢙⣿⣿⣟⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣏⣀⣸⣿⠿⣿⣿⣿⣿⣿⣿⡇⢸⣿⢸⣿⡆⣿⣷⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣏⠈⠀⠐⠋⠓⠻⣿⣿⣿⡇⠀⠀⠀⠀⠿⠧⠄⣼⠁⢸⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⢃⣠⣿⣿⣿⢿⣿⢻⣿⢸⣿⡋⣿⡇⢿⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡇⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⢻⣿⣿⠃⠀⠀⠀⢰⣷⣦⣴⣿⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡸⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠘⠛⠛⠂⠀⠀⠀⢸⣿⣿⣿⣿⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⢤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠘⠛⠛⠛⠛⠀⠘⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠹⣿⡆⣼⡟⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠻⠿⣿⣿⣿⣿⣾⣧⢀⡀⠀⠀⠀⠀⠀⠠⢀⣤⣴⢆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⠿⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣅⡀⠀⢸⣿⠀⣠⣬⣿⣿⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⢀⣘⣿⣿⣿⣿⡎⠁⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣤⣤⣤⣤ ⣭⢦⡑⢶⣬⡍⠀⠀⡄⠀⠀⠀⠀⡇⡀⠀⠘⢿⣧⣿⢿⣿⣿⣿⡿⠎⠻⠧⠛⡃⠀⠀⢀⣄⣶⣤⣠⣤⣄⣀⣐⠠⡎⠃⢀⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡛⢚⣿⣦⣝⠟⠂⠀⠙⠀⠂⠀⠀⠹⠐⡄⠀⠀⠀⠀⡸⠀⠈⠛⠃⠀⠀⠀⠀⢃⣰⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣜⣍⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠩⠽⠿⢿⣿⣶⣤⣀⠀⠀⠀⠀⢀⡀⠈⠁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠈⠉⠉⠉⠙⠛⠛⠿⠿⣿⣽⣻⣿⣿⠿⡽⠛⢻⣿⣿⣿⠆⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⣻⣿⣿⣿⣿⣷⣦⣀⡀⠉⠻⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣷⣶⣶⣦⣤⣄⡈⠀⠀⠁⠀⠀⠀⠉⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣛⠿⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⢶⡈⠀⠘⠃⠐⠂⠀⠀⠀⠀⣀⣀⣀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠤⠶⣉⡉⠉⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣦⣶⡾⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠉⠛⣿⣿⣿⣿⣿⣿⣿⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣤⣠⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣾⣿⣿⡿⠟⠋⠉⠁ ⠿⠟⠟⠻⠿⠞⠉⣿⣿⣿⣿⣿⣟⣾⣿⣿⣿⣿⣯⣀⣤⣤⣶⣦⣤⠄⠀⠀⠀⠀⠉⠉⠿⠿⠿⠟⣛⣛⣻⣿⠦⣤⣤⣤⣤⣤⣶⠦⡖⢴⣷⣶⣶⡶⡞⠾⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⢻⣿⠟⠋⠁⠀⠀⠀⠀⠀ ⣀⢠⣴⣴⢤⣄⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣰⣄⠀⠀⠀⠀⠀⠀⠀⠘⠛⠻⠻⠙⠛⣛⠫⢉⣩⣉⣃⣤⣤⡜⠁⠈⣽⠿⠿⢷⣶⣼⡭⠈⢍⡛⠙⠛⠿⠿⠛⠛⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡫⣤⣞⢋⣸⣷⣦⠀⠠⠼⣿⣿⣿⣽⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⡿⠆⠀⠀⠀⠀⠀⣀⣀⣠⣤⣄⣠⣤⣤⣦⣈⠿⠿⣿⣿⣿⣲⣀⣬⣿⣷⣶⡬⢻⠻⠀⠀⠈⠃⠚⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⠛⠛⠛⠉⠉⠉⠉⠁⠀⠀⠀⢀⣳⣀⡤⢤⣤⣤⣶⡷⠶⠶⢶⣿⣛⣛⣛⣻⣿⣿⣭⣭⣿⣷⣶⣶⣾⣿⣿⣸⣶⣶⣯⣭⣿⣿⣭⣭⣭⣽⡆⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⠿⠟⣛⣋⣉⣩⠍⣁⣀⣤⣤⣤⣤⣶⣶⣶⡶⠷⠾⠿⠚⣾⣷⣤⡙⢫⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠸⡇⠅⢹⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠼⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠏⠀⣶⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠩⠍⢿⣿⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⣿⣿⣿⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡟⠓⣒⣶⡗⣿⣿⣿⣿⣧⡄⢠⣴⣶⣤⠀⣶⡶⣿⣷⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣮⢿⠟⠀⣿⡿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢹⡿⠿⢿⠮⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣏⣄⣼⣿⠿⣿⣿⣿⣿⣿⣿⡇⢸⣿⢸⣿⡆⣿⣷⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣯⡀⠀⠐⠋⠋⠹⣿⣿⣿⡇⠀⠀⠀⠀⡩⠷⠀⣾⠁⢀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣃⣠⣿⣿⣿⢿⣿⢹⣿⢸⣿⡈⣿⡇⢻⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡆⣿⡟⠿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⢹⣿⣿⠇⠀⠀⠀⢠⣷⣶⣶⣿⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡘⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⡏⠀⠀⠀⠀⠀⠈⠋⠙⠃⠀⠀⠀⢸⣿⣿⣿⣿⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⢤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⣿⣿⢿⣿⡿⢿⣿⣿⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠘⠛⠛⠛⠛⠀⠘⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠹⣿⣆⣼⡟⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⣿⣿⣿⣿⣶⢠⡄⠀⠀⠀⢠⡤⠤⣢⣦⣶⣦⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⡇⡄⠀⢸⣿⠀⣠⣦⣿⣿⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⣀⣀⣨⣿⣿⣿⣿⡏⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣯⣴⣴⣶⣶ ⣬⢿⣿⣿⣿⣿⣄⠀⣤⠀⠀⠀⠀⣇⠄⠀⠘⢿⣧⣿⢿⣿⣿⣿⣿⠎⠛⠃⠛⡗⠀⠀⢠⣤⣶⣤⣤⣤⣤⣤⣤⠰⠎⠁⢀⣿⣿⣿⣻⣿⣿⣿⡇⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣙⣊⣿⣿⡿⠿⠧⠀⠿⠃⠂⠀⠀⠹⠐⡆⠀⠀⠀⠀⡈⠀⠈⠉⠁⠀⠀⠀⠀⠡⢰⡀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣤⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡀⠘⠿⢿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠉⠀⠉⠙⠛⠛⠻⠿⢽⣻⣿⣿⠭⠽⠛⠻⠿⠿⣿⠃⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣀⠀⠀⠈⣻⣿⣿⣿⣿⣿⣦⡀⠀⠢⢤⣄⣀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⣶⣶⣦⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠽⠿⢿⣿⣿⣿⣿⣿⣿⣭⣿⣿⣿⣿⣷⡦⢀⠀⠀⠉⠐⠂⠀⠀⠀⠀⣤⣤⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠠⠤⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿ ⣶⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣷⠦⠄⠀⡀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣃⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠤⠠⠶⢶⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⡿⠿⠛⠉⠁⠀ ⠛⠛⠛⠻⠛⠛⠉⣿⣿⣿⣻⣿⣯⣿⣿⣿⣿⣿⣷⣤⣒⣖⣻⣶⣶⠤⠤⠄⠀⠀⠈⠉⠻⠿⠛⢛⣛⣿⣿⣿⠂⣤⣤⣶⣶⣶⡶⠶⠿⢾⣶⣾⣷⣾⡛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⠿⠋⠉⠀⠀⠀⠀⠀⠀ ⣤⣤⣶⣶⢦⣄⠀⠘⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣆⣤⠀⠀⠀⠀⠀⠀⠀⠚⠛⠛⠛⠫⠍⢽⣉⢀⣶⣍⣩⣶⣤⡏⠀⠀⣿⡟⠿⣿⣾⣿⡿⠋⣽⡉⠉⠹⠿⠟⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠭⣤⡌⢁⣜⣿⡶⠄⠀⠸⣿⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣠⣄⣤⣶⣦⣠⣴⣶⣷⣴⠿⣿⣿⣿⣿⣷⣀⣾⣿⣿⣷⠿⠿⠟⠀⠀⠈⠁⠘⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠛⠛⠛⠉⠉⠉⠉⠁⠀⠀⠀⢀⣳⣀⠤⢤⣤⣤⣶⡶⠶⠶⢶⣟⣛⣛⣛⣿⣿⣿⣭⣭⣿⣶⣶⣶⣿⣿⣿⣸⣷⣶⣯⣭⣭⣭⣭⣭⣭⣵⡆⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⠿⠟⣛⣛⣉⣩⢍⣁⣀⣤⣤⣤⣤⣶⣶⣶⡶⠷⠾⠿⠚⣾⣷⣤⡙⢻⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠅⢹⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠴⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠏⠀⣶⣶⣶⣶⠀⡀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⠩⠍⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡟⠓⣒⣶⡖⣿⣿⣿⣿⣧⡄⢠⣴⣶⣤⠀⣶⡶⣿⣷⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣮⢿⠟⠀⣿⡿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣹⡿⠿⢿⠮⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣏⣀⣼⣿⠿⣿⣿⣿⣿⣿⣿⡇⢸⣿⢸⣿⡆⣿⣷⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣯⡀⠀⠀⠉⠋⠙⣿⣿⣿⡇⠀⠀⠀⠀⡩⠷⠂⣾⠁⢀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣃⣠⣿⣿⣿⢿⣿⢹⣿⢸⣿⡈⣿⡇⢿⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡆⣿⡟⠿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⢹⣿⣿⡇⠀⠀⠀⢠⣷⣶⣶⣿⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡘⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⡟⠀⠀⠀⠀⠀⠈⠛⠙⠃⠀⠀⠀⢸⣿⣿⣿⣿⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⢤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⣿⣿⢿⣿⡿⢿⣿⣿⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠈⠛⠛⠛⠛⠀⠘⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠹⣿⣆⣼⡟⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠻⠿⣿⣿⣿⣿⣶⢠⡄⠀⠀⠀⢠⡤⢤⣢⣦⣶⣢⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⡇⡄⠀⢸⣿⠀⣠⣦⣿⣿⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠤⠠⠀⣀⣀⣨⣻⣿⣿⣿⡏⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣴⣶⣶⣶ ⣌⢿⣿⣿⣿⣿⣄⠀⣤⠀⠀⠀⠀⣇⠄⠀⠘⢿⣧⣿⢿⣿⣿⣿⣿⠎⠟⠃⠛⡗⠠⠀⢠⣤⣶⣤⣤⣤⣤⣤⣨⠰⠦⠁⢀⣽⣿⣿⣻⣿⣿⣿⡇⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣉⣾⣿⣿⡻⠿⠧⠀⠿⠄⠂⠀⠀⠹⠐⡆⠀⠀⠀⠀⡈⠀⠈⠉⠁⠀⠀⠀⠀⠡⢸⡀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣦⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠘⠿⢿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠁⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠉⠀⠈⠉⠛⠛⠻⠿⢽⣻⣿⣿⡬⠽⠉⠙⠛⠿⣿⠃⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡀⠀⠀⠈⣻⣿⣿⣿⣿⣿⣆⡀⠀⠂⢠⣤⣠⠀⣀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣷⣶⣶⣦⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠻⠿⢿⣿⣿⣽⣿⣿⣿⣭⣿⣿⣿⣿⣶⣦⢀⡈⠀⠉⠐⠂⠀⠀⠀⠀⣤⣤⣀⣀⣀⣀⣀⣁⠀⠀⠀⠀⠀⠠⠄⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿ ⣴⣾⡿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣷⠦⠀⠀⡀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠠⠶⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⠿⠛⠉⠁⠀ ⠛⠛⠛⠻⠟⠚⠉⣿⣿⣿⣻⣿⣫⣿⣿⣿⣿⣿⣷⣠⣒⣖⣒⣶⣦⠤⠤⠄⠀⠀⠈⠉⠻⠿⠛⢛⣛⣿⣿⣿⠒⣤⣤⣴⣶⣶⣶⠶⠶⢿⣶⣾⣷⣿⣟⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⠻⠛⠉⠀⠀⠀⠀⠀⠀ ⣤⣤⣶⣶⢦⣤⠀⠙⠛⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣀⣤⠀⠀⠀⠀⠀⠀⠀⠚⠛⠛⠻⠟⢙⠝⣛⢥⣭⣍⣹⣷⣦⡎⠀⠀⢹⡟⠻⣿⣾⣿⡿⠉⣽⡉⢉⠹⠿⠟⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠭⣤⣌⢁⣜⣿⡶⠄⠀⠠⣿⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⣠⣀⣤⣶⣦⣤⣤⣾⣶⣵⣿⣿⣿⣿⣿⣷⣥⣿⣿⣿⣷⠿⠿⠟⠀⠀⠈⠁⠙⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠛⠛⠋⠙⠉⠉⠉⠀⠀⠀⠀⣀⣧⣠⠤⣤⣤⣤⣾⣶⠶⠶⢾⣟⣛⣛⣛⣿⣿⣯⣭⣭⣿⣶⣶⣶⣿⣿⣏⣻⣶⣶⣭⣭⣭⣭⣭⣭⣭⣵⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⠿⠟⣛⣋⣉⣩⢍⣃⣀⣤⣤⣤⣤⣶⣶⣶⣶⠶⠾⠿⠘⣿⣷⣌⠛⢇⠀⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⠸⠈⣽⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠃⢰⣶⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⠿⣟⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡯⠩⠝⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⡟⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠿⠉⣲⣶⣞⣿⣿⣿⣿⣤⡄⢠⣴⣶⣤⠀⣶⣾⣿⣧⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⣿⠟⠘⣿⡟⣿⣿⣿⣿⡆⠀⠀⠀⢈⣹⠿⠿⢏⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣃⣀⣼⣿⠿⣿⣿⣿⣿⣿⣿⡇⢸⣿⢸⣿⡆⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣏⡀⠀⠊⠋⠋⠻⣿⣿⣿⡅⠀⠀⠀⢈⡭⠗⠀⡾⠁⢀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣁⣰⣿⣿⣿⢿⣿⢹⣿⢸⣿⡉⣿⡇⢻⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡆⣿⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢿⣿⣿⠀⠀⠀⠀⢸⣷⣶⣾⣿⠀⠸⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡘⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⡇⠀⠀⠀⠀⠀⠈⠙⠛⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⢤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⢿⣿⡿⣿⣿⣿⣽⡇⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠘⠛⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠹⣿⣆⣼⡟⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⢿⣿⣿⣿⣿⡆⢠⡄⠀⠀⠀⣠⡤⢴⣠⣶⣶⣢⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⢸⣿⠀⣠⣮⣿⣿⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠤⠦⠀⣀⣀⣸⣿⣿⣿⣿⡏⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣧⣴⣴⣶⣶ ⣉⣿⣿⣿⣿⣷⣄⢀⡄⠀⠀⠀⠀⡇⡀⠀⠘⢿⣧⣿⣿⣿⣿⣿⡿⠎⠻⠇⠛⡇⠀⠀⢠⣤⣶⣤⣤⣤⣤⣤⣌⠰⠏⠁⢀⣿⣿⣿⣻⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡙⣛⣮⣭⡛⠿⠦⠘⠿⠃⠂⠀⠀⠻⡰⡀⠀⠀⠀⠀⡊⠀⠈⠋⠁⠀⠀⠀⠀⠣⣰⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⣺⣬⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠉⠽⠿⢿⣿⣷⣤⣄⠀⠀⠀⠀⠀⠀⠉⠁⠂⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠉⠉⠉⠉⠙⠛⠛⠿⠿⣿⣻⢿⣿⠿⢃⠀⠉⠘⠿⢿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⣿⣿⣿⣿⣿⣷⣄⠀⠀⠂⢀⡄⣀⠀⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣶⣶⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣻⠿⢶⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣷⣶⡬⣈⠀⠁⠈⠐⠀⠀⠀⠀⠀⣤⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠦⠄⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿ ⣶⣾⡾⣿⣿⣿⣿⣿⣛⣿⣿⣿⣾⣿⣿⣿⣿⣿⣶⡦⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠠⠶⣶⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⠿⠛⠉⠀⠀ ⠿⠟⠟⠻⠿⠚⠙⣯⣿⣿⣻⣿⣛⣾⣿⣿⣿⣿⣧⣠⣰⣔⣲⣶⣤⠤⠤⡀⠀⠀⠉⠉⠻⠿⠟⢛⣛⣻⣿⡿⠆⣤⣤⣤⣤⣶⡶⠾⠾⢿⡶⣶⣶⣾⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⠿⠋⠉⠀⠀⠀⠀⠀⠀ ⣀⣠⣶⣶⢤⣄⠀⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣢⣤⠀⠀⠀⠀⠀⠀⠀⠚⠛⠟⠫⠿⠫⢝⠽⢩⣿⣍⣹⣷⣴⡗⠀⢀⣽⡟⠻⣾⣶⣾⠷⠍⣝⡉⠉⠽⠿⠟⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠽⣤⡌⢋⣸⣷⡶⠀⠠⠼⣿⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠀⠀⠀⠀⠀⠀⣤⣀⣴⣶⣦⣤⣴⣾⣷⣟⠿⠿⢿⣿⣻⣤⣀⣾⣿⣶⡷⠮⠟⢻⠀⠀⠈⠉⠙⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠿⠿⠿⠟⠛⠛⠛⠛⠋⠉⠉⠀⠀⠀⠈⣇⣀⣀⣀⣤⣤⣤⣤⣴⡶⠶⢶⣿⣟⣛⣛⣛⣻⣿⣭⣭⣭⣶⣶⣶⣦⣦⣴⣶⣯⣭⣛⣓⣒⣲⣭⣭⣭⠀⠀⠒⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡿⠿⠛⢛⣋⣉⠋⣋⣉⣀⣀⣤⣤⣤⣤⣶⣶⣶⡶⠶⠸⣿⣦⣌⠛⣇⠀⣾⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣗⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣯⠉⠉⠉⠀⠀⠀⠀⠀⢸⢸⠋⣹⣿⣷⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠏⢠⣶⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢩⠽⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⢸⣿⣿⣿⣟⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠿⠭⢭⣶⡤⣿⣿⣿⣿⣤⡄⢠⣴⣶⣤⠀⣶⣾⣿⣧⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣬⣷⡖⠘⣿⡛⣿⣿⣿⣿⡂⠀⠀⠀⠈⢹⡿⢿⢇⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣏⣀⣸⣿⠿⣿⣿⣿⣿⣿⣿⡇⢸⣿⢸⣿⡇⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣏⠁⠀⠘⠋⠓⢿⣿⣿⣿⡅⠀⠀⠀⢸⡿⠭⠀⣼⠁⢠⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠃⣠⣿⣿⣿⢿⣿⢻⣿⢸⣿⡎⣿⡇⢿⣿⢸⣿⠈⣿⣧⣤⢸⣿⠘⣿⡇⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢿⣿⣿⠁⠀⠀⠀⢸⣷⣦⣴⣷⠀⠸⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡘⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠘⠛⠛⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⢤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢹⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣽⡇⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠘⠛⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠹⣿⡆⣼⡿⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠿⠿⣿⣾⣾⣿⣾⡇⢀⡀⠀⠀⠀⠠⠀⠄⢠⣦⣶⣆⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⢸⣿⠀⣠⣬⣿⣿⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢀⣚⣿⣿⣿⣿⡎⠁⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣶⣦⣶⣤⣦⣤ ⡝⣿⣿⣿⣿⣿⣀⢀⣀⠀⠀⠀⠀⡏⡁⠀⠈⢿⣧⣿⣿⣿⣿⣿⡿⠎⠻⡧⠛⡃⠀⠀⢀⣀⣴⣄⣠⣤⣄⣀⡐⠠⠎⠃⢀⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣓⣾⣮⣭⣛⠿⠇⠘⣷⠆⢄⠀⠀⢷⠰⠀⠀⠀⠀⠀⡙⠈⠙⠛⠁⠀⠀⠀⠀⢃⣠⠐⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣸⣝⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠉⠽⢿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠁⠁⠑⠂⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠊⠉⠉⠉⠙⠛⠻⠿⠿⣿⣿⣻⣿⣿⠝⡃⠀⠁⠙⢿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠘⣿⣿⣿⣿⣿⣶⡄⠀⠀⠤⢀⣀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣶⣶⣶⣤⣬⣀⡈⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣻⣶⣶⣶⣿⣿⣿⣿⣿⣛⣿⣷⣶⣶⣦⢍⡈⠁⠀⠘⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠠⢪⣉⠉⠙⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣤⣶⣾⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣄⡀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣟⣻⣿⣿⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣤⣔⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡶⣿⣿⣾⣿⣿⠿⠛⠋⠁⠀ ⠿⠿⠿⢿⠿⠿⠛⣿⣿⣿⢿⢿⢟⣿⣿⣿⣿⣿⣯⣀⠤⣴⣶⣦⣤⡤⣤⣀⠀⠀⠉⠉⠿⠿⠿⠿⢛⣛⣿⣷⠦⣄⣠⣤⣤⣤⡤⠤⠶⢶⣶⣶⣶⠶⠲⠾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀ ⡀⣀⣤⣤⢄⣀⠀⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣒⣀⠀⠀⠀⠀⠀⠀⠀⠜⠻⠛⠻⠹⠋⠙⢋⢉⣉⣛⣣⣤⣴⠐⠁⠨⣿⠿⠿⣿⣷⣿⡿⢟⣿⡛⠛⠻⠿⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣻⢤⡜⢛⢹⣷⣤⡀⠠⠾⣿⣿⣟⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠂⠀⠀⠀⠀⠀⣀⣀⣠⣤⣄⣠⣤⣬⣯⡭⣿⣿⣿⣿⣿⣿⣘⣿⣿⣿⣿⣾⣿⢟⠁⠈⠉⠑⠛⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠟⠛⠛⠛⠛⠋⠉⠀⠀⠀⠘⣆⢀⣀⣀⣀⣤⣤⣤⣤⣶⡶⠶⠶⣿⣿⣛⣛⣛⣿⣯⣭⣭⣽⣶⣶⣶⡄⣶⣮⣭⣝⣛⣓⣒⣒⣺⣭⣭⠁⠐⠒⠚⠋⠁⠀⠀⠈⠁⠀⠀⠀⠀⠀ ⣿⣿⠿⠿⠛⢛⣉⠛⢉⣉⣀⣀⣀⣤⣴⣤⣤⣴⣶⡶⠶⠠⣿⣦⡙⠻⡇⠀⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⣶⣾⣿⣿⣿⣷⣾⣿⣿⣿⣯⠉⠉⠉⠁⠀⠀⠀⠀⢸⢸⠙⣻⣿⣧⣭⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣸⣾⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⢠⣶⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣩⡻⣿⣿⣿⣿⣿⣿⣿⠍⠀⠀⠀⢸⣿⣿⣿⡇⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠿⠯⢭⣥⣴⣿⣿⣿⣿⣤⡄⢠⣴⣶⣤⠀⣶⣾⣿⣦⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣜⣶⡆⠸⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠈⢻⣿⣿⡇⡅⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣋⣀⣸⣿⢿⣿⣿⣿⣿⣿⣿⡇⢸⣿⢸⣿⡆⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣋⠁⠀⠘⠛⠛⢿⣿⣿⣿⠀⠀⠀⠀⠸⠻⠤⠠⡌⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠃⣰⣿⣿⣿⢿⣿⢻⣿⢸⣿⡞⣿⡇⢿⣿⢹⣿⠉⣿⣧⣤⢹⣿⠙⣿⡏⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠈⣿⣿⣿⠁⠀⠀⠀⢸⣷⣤⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣷⣿⣿⣿⢿⣿⡘⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⡇⠀⠀⠀⠀⠀⠘⠛⠻⠀⠀⠀⠀⢸⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⣤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢽⡿⢿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠘⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢸⣿⠹⣿⡆⣸⡟⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠈⠙⠛⠻⠿⢿⣿⣾⣿⣷⣿⡇⣀⡀⠀⠀⠀⠀⠀⠀⢠⣤⣶⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠠⢀⡀⠀⢸⣿⠀⣠⣬⣿⣷⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⣹⣿⣿⣿⣿⡎⠁⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣦⣦⣤⣤⣤ ⡿⣿⣿⣿⣿⣧⡀⢀⡀⠀⠀⠀⠀⡌⠁⠀⠈⢿⣧⣿⡟⣿⣿⣿⡿⠎⢿⡃⠛⡇⡀⠀⣀⣀⣤⣀⣀⣤⣌⣁⡐⢠⠎⠇⢀⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠳⡶⣦⣭⣛⠻⠅⢸⣧⠔⠀⠀⠀⣇⢰⠀⠀⠀⠀⠀⠏⠈⠙⠛⠁⠀⠀⠀⠀⢀⣧⠐⣾⣿⣿⣿⣿⣿⣿⣿⣿⣾⣴⣤⢻⣹⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠁⢿⣿⣿⣷⣦⣀⡀⠀⠀⠀⠀⠀⠁⠋⠰⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠉⠉⠉⠉⠛⠛⠿⠿⢟⣿⣿⣻⣿⡿⢝⡃⠀⠀⠻⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠘⣿⣿⣿⣿⣷⣦⡀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣶⣶⣤⣤⣍⣀⠉⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣻⣶⣶⣶⣿⣿⣿⣿⣿⣻⣻⣶⣶⣦⣬⣙⠘⠃⠐⠘⠤⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⣍⡉⠉⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣤⣶⣼⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣷⣷⣶⣤⡄⠀⠀⠀⠀⠀⠀⠉⠙⠻⣿⣿⣿⣟⣻⣷⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢠⣦⣤⣴⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣷⣾⣿⣿⠿⠟⠋⠉⠀ ⠿⠿⠿⣿⠿⠝⢻⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣥⣢⠤⡤⣵⣤⣤⡤⣄⡀⠀⠈⠙⠙⢿⠿⠿⠿⢿⣿⣿⣶⠄⣄⣠⣤⣤⣤⣤⡶⢶⣶⣶⣶⣶⡲⡶⠿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣻⡿⠟⠋⠁⠀⠀⠀⠀⠀ ⡀⣠⣤⣤⢄⡀⠀⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⣄⡄⠀⠀⠀⠀⠀⠀⠀⠼⠿⠟⠯⠷⠞⢻⣋⣉⣏⡛⣻⣤⣠⠄⠀⠩⣿⠿⢿⣶⣭⣭⠿⠩⣛⠛⠛⠻⠿⠿⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣫⣤⡟⣛⢼⣷⣤⡀⠤⢿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣄⣀⣠⣴⣷⠮⣿⣿⢫⢿⣟⣩⣤⣽⣽⣶⣦⣼⠿⣟⠀⠈⠙⠓⠲⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠛⠛⠉⠁⠀⠀⠘⡌⠉⢁⣀⣀⣀⣠⣤⣤⣤⣤⣼⡶⠶⠶⣿⣿⣟⣛⣻⣿⣭⣭⣭⣷⣶⡆⢶⣭⣭⣛⣛⣓⣒⣒⣒⣬⣭⠉⠐⠒⠒⠚⠉⠀⠀⠈⠁⠀⠀⠀⠀⠀ ⣿⣿⣿⠿⠿⠟⢛⠟⠟⠋⠀⢀⣀⣐⣀⣠⣤⣤⣤⣴⣶⢤⣶⣄⡙⠿⡏⠉⣭⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣭⣤⣶⣶⣾⣿⣿⣶⣿⣿⣿⣟⠛⠛⠋⠉⠉⠉⠁⠀⢰⢰⠙⣿⣿⣦⣵⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣯⣿⣹⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣼⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢠⣴⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢛⡻⣿⣿⣿⣿⣿⣿⣿⠍⠁⠀⠀⢸⣿⣿⣿⡟⡌⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣟⣛⣋⣩⣉⣷⣿⣿⣿⣤⡄⢠⣴⣶⣤⠀⣶⣾⣿⣦⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣐⣶⡆⠸⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠈⢿⣿⣿⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠏⠀⣰⣿⡿⣿⣿⣿⣿⣿⣿⡇⢸⣿⢸⣿⡇⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⡋⠉⠀⠘⠿⠟⢿⣿⣿⣿⠀⠀⠀⠀⠸⢻⠤⢀⡜⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠏⢠⣿⣿⣿⣿⣿⢿⣿⢸⣿⡖⣿⡇⢿⣿⢹⣿⠋⣿⣯⣭⢹⣿⠙⣿⡏⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⡆⠀⠀⠀⠀⠈⣿⣿⣿⠁⠀⠀⠀⢸⣧⣤⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⡘⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⡇⠀⠀⠀⠀⠀⠹⠛⠿⠀⠀⠀⠀⢸⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⣤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠘⠛⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⢀⠀⠀⢸⣿⠹⣿⡆⣸⡿⣿⡄⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⢿⣿⣿⣿⣿⣷⣿⡅⢀⡀⠀⠀⠀⢀⣀⡠⣀⣤⣴⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢸⣿⠀⣠⣔⣿⣷⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⠀⠀⠈⠹⣿⣿⣿⣷⡟⠁⠀⠀⢀⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣴⣶⣶⣶⣦⣤⣤⣤⣤ ⡻⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⣘⠃⠀⠈⢿⣧⣿⡯⣿⣿⣿⡿⠟⢿⡇⠛⡇⡀⠀⢀⣀⣤⡀⣐⣀⣈⠈⡀⢠⡖⠆⠀⣾⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢯⣴⣭⣙⡛⠯⡋⢸⣧⠠⡀⠀⠀⡇⢠⠀⠀⠀⠀⠀⡗⠘⠻⠿⠃⠀⠀⠁⠈⠁⣇⠠⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣤⢾⣻⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠊⣷⣿⣿⣯⣅⠀⠀⠉⠀⠀⠀⠀⠂⠞⠢⠄⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠙⠛⠛⠛⠻⠿⠿⢿⣿⣿⣿⢿⣿⣿⣻⠏⠙⠋⢿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠒⠈⠉⠹⣿⣿⣿⣷⣦⣄⡀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣦⣤⣬⣭⣉⡈⠉⠀⠀⠀⠀⠀⠙⠛⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⣤⣤⣤⣿⣿⣿⣿⣿⢿⢷⣤⣤⣤⣀⡚⠡⢂⠤⠰⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣉⢍⠛⠛⠛⠻⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣩⣬⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠙⠛⢿⣶⣷⣶⣶⣶⣶⣶⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢀⣠⣠⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣷⣾⣿⣿⡿⠟⠛⠉⠁ ⣿⣿⣿⣿⣿⡿⢿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣋⢁⣀⣠⣤⣀⣀⣀⡀⠀⠀⠙⠛⠻⣿⣿⣿⠿⠿⠿⣶⣦⣄⣀⣀⣄⣀⣤⣤⣴⣴⣶⣮⣴⣤⣴⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀ ⠀⢀⣀⣉⠀⠀⠘⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣶⣷⣿⣿⣯⠁⠭⡁⠀⠀⠀⠀⠀⠀⠀⠶⢿⢿⣿⣗⠒⢹⡻⢋⣛⠛⢷⣀⣀⡜⠉⠙⣿⣿⣶⣦⣭⣭⡿⣛⢟⠛⠻⣿⣿⡿⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢶⣤⣿⡿⣿⣧⣀⠤⣤⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣰⣿⡝⣿⣿⣿⣿⣿⣒⣐⣺⣿⣴⣦⣿⡿⡛⠁⠈⠛⠛⢲⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠛⠛⠛⠋⠉⠁⠀⠀⠘⣆⢈⣁⣀⣀⣠⣤⣤⣤⣴⣷⠶⠶⠾⣿⣿⣛⣛⣿⣿⣭⣭⣭⣷⣶⣶⡆⣶⣮⣭⣛⣛⣓⣒⣒⣲⣭⣭⠁⠒⠒⠒⠛⠁⠁⠀⠈⠁⠁⠀⠀⠀⠀ ⣿⣿⡿⠿⠛⠛⣛⠛⠉⢉⣀⣀⣀⣠⣤⣤⣤⣤⣶⣶⢶⢠⣿⣦⡙⠿⡇⠀⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣶⣶⣿⣿⣿⣷⣾⣿⣿⣿⣯⠉⠉⠉⠁⠁⠀⠀⠀⢸⢸⠙⣻⣿⣦⣭⣾⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣏⣿⣻⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣸⣾⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⢠⣶⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣻⠻⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⢸⣿⣿⣿⡇⡈⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠻⠯⢭⣭⣴⣿⣿⣿⣿⣤⡄⢠⣴⣶⣤⠀⣶⣾⣿⣦⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣼⣶⡆⠸⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⠈⣿⣿⣿⡧⡅⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠋⢀⣸⣿⢿⣿⣿⣿⣿⣿⣿⡇⢸⣿⢸⣿⡆⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⡃⠁⠀⠘⠛⠚⢿⣿⣿⣿⠀⠀⠀⠀⠸⠻⠤⢠⡇⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠃⣰⣿⣿⣿⢿⣿⢻⣿⢸⣿⡞⣿⡇⢿⣿⢹⣿⠉⣿⣯⣭⢹⣿⠙⣿⡏⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠘⣿⣿⣿⠀⠀⠀⠀⢸⣧⣤⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣷⣿⣿⣿⢿⣿⡘⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⠇⠀⠀⠀⠀⠀⠛⠛⠻⠀⠀⠀⠀⣼⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⣤⣶⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠀⠀⠀⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢸⣿⠹⣿⡆⣸⡟⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠉⠛⠛⠿⠿⣿⣷⣾⣿⣷⣿⡄⣀⡀⠀⠀⠀⠀⣀⡀⢠⣤⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡯⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⢸⣿⠀⣠⣌⣿⣷⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠈⡹⣿⣿⣿⣿⠋⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣷⣶⣶⣶⣦⣤⣤⣤⣤ ⡻⣿⣿⣿⣿⣇⠀⢀⠀⠀⠀⠀⠸⣈⠁⠀⠈⢿⣧⣿⡏⣿⣿⣿⡿⠞⢿⠇⢛⠇⡀⠀⣀⣠⣤⣀⣀⣩⣍⣉⡂⢠⡔⠂⢐⣻⣿⡟⣿⣿⣿⣿⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢇⢶⣶⣭⣙⡻⠅⢸⣏⠀⡀⠀⠀⡇⢠⠀⠀⠀⠀⠀⠇⠈⠙⠛⠁⠀⠀⠀⠘⠀⣇⠐⣾⣷⣿⣿⣿⣿⣿⣿⣷⣾⣴⣤⢫⣹⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢑⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠈⠀⠘⠠⠄⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠉⠉⠛⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣟⣻⡟⠻⠟⣿⣿⣷⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠹⣿⣿⣿⣿⣷⣦⡀⠀⠀⢀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣶⣤⣤⣬⣍⣈⠉⠀⠀⠀⠀⠀⠋⠁⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢶⣶⣴⣾⣿⣿⣿⣿⣿⣻⣿⣶⣶⣤⣬⡙⠲⡠⠄⠰⠒⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⣍⣉⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣥⣦⣽⣿⣿⣿⣿⣿⠿⣿⣿⣿⣻⣿⣿⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⣿⣿⣿⣶⣶⣶⣶⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣿⣷⣿⣿⣿⡿⠟⠋⠉⠀ ⣿⢿⠶⣿⡯⠟⢻⣿⣿⣿⣿⣿⢿⣽⢿⣿⣿⣿⣍⢉⣀⡤⢤⣤⣀⣀⡀⠀⠀⠉⠛⠙⢿⠿⠿⠿⠿⣿⣷⣦⣄⣀⣠⣄⣤⣤⣤⡶⣦⣶⣶⣶⣶⣖⠶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀ ⠀⣠⣄⣄⠀⠀⠘⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡀⣭⡁⠀⠀⠀⠀⠀⠀⠠⠾⠿⢿⣿⠓⠀⢿⠋⣙⣙⠛⣣⣤⣀⠋⠉⢹⣿⠿⠶⣦⣭⣟⢏⡻⣟⠛⠛⠿⢿⡿⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣤⡿⠋⣾⣧⣔⠀⣤⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⡀⠀⣀⣤⡀⣀⣀⣼⣵⢿⣿⣿⣿⣿⣿⣡⢀⣻⣿⣦⣦⣿⡟⠗⠀⠘⠛⠁⢲⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠛⠛⠀⠀⠉⢳⠉⠙⠁⠀⢀⣀⣀⣀⣀⣤⣤⣤⣤⣴⣶⡶⠶⠾⣿⣟⣛⣛⣛⣯⣭⣭⢩⣭⣛⣛⠷⠶⠤⠤⠤⢄⣒⡒⠂⠤⠤⠤⠆⠀⠐⠀⠂⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡿⠿⠿⠻⠿⠛⠛⠀⠀⢀⣀⣐⣀⣀⣠⣤⣤⡄⣤⣦⡀⢶⣷⠉⢉⣿⣿⣿⣭⣯⣿⣿⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣩⣥⣴⣶⣶⣾⣧⣶⣾⣿⣿⡛⠛⠛⠛⠋⠉⠉⠉⠁⡆⡾⠻⣿⣷⣌⣣⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣀⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠉⠁⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣟⣛⣛⣛⣩⣾⣿⣿⣿⣤⡄⢠⣤⣶⣤⠀⣶⣿⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣝⢵⣭⡌⢿⡿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠻⣿⣿⣿⢟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠟⠀⣰⣿⡿⣿⣿⣿⣿⣿⣿⡇⢸⣿⢸⣿⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠋⢀⠼⢿⢼⣿⣿⣿⣿⠀⠀⠀⠀⢶⣿⣉⢉⡾⠀⡆⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠃⢰⣿⣿⣿⣿⣿⢽⣿⢸⣿⡖⣿⡇⣿⣿⢻⣿⠛⣿⣿⣭⢻⣿⠛⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣷⠀⠀⠀⠀⠈⢹⣿⣿⡟⠀⠀⠀⠀⣶⣅⣀⣼⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⡘⣿⠸⠿⠈⠻⠷⠟⠃⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⠀⠀⠀⠀⠀⠀⠿⠿⡧⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⢤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠿⠿⣿⣿⡇⠀⡅⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠹⣿⡆⣸⡟⣿⡄⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⠿⣿⣿⣿⣯⣭⣭⣯⣿⠀⠀⠀⠀⠀⠀⠀⠀⡀⢁⣀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⢸⣿⠀⣠⣖⣿⣧⣽⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢿⣿⣿⣿⣦⠟⠀⠀⠀⢰⣶⣿⣶⣿⣿⣷⣿⣶⣶⣶⣶⣄⣤⣤⣤⣤⣄⣀⣀⣀⣀ ⢿⣿⣿⣿⣿⡇⠀⢀⠀⠀⠀⠀⢸⠘⠀⠀⠈⢿⣧⣿⡟⣿⣿⣽⠿⠟⣿⡇⠻⠃⠀⠀⠀⢀⡀⠀⠀⣀⠀⠀⠄⣈⠰⠀⢰⣶⣾⣷⣿⣿⣿⣿⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠇⣴⣭⣙⡛⢿⠂⢸⡷⢀⠀⠀⠸⡎⣀⠀⠀⠀⠀⠀⠇⠚⠻⠿⠂⠀⠈⠀⠸⠀⡀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣦⣍⣤⣀⡟⢻⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠚⣾⣿⣷⣯⣅⠀⠈⠉⠀⠀⠀⠀⠑⠚⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠳⠬⠛⠛⠛⠛⠿⢿⣿⣿⡿⣿⣿⣿⣿⡟⢿⣿⣿⣿⣿⣿⣧⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠈⠉⢽⣿⣿⣿⣶⣦⣄⠀⠀⠀⣀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣍⣉⣙⠛⠉⠓⠉⠁⠈⠉⠙⠟⠇⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣦⣤⣤⣴⣿⣿⣿⣿⡿⢿⣷⣤⣤⣌⣐⡲⠴⣀⠄⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣙⠛⠛⠻⠿⠿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣥⣭⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠿⣶⣶⣶⣶⣶⣶⣤⣤⣤⣤⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣠⣀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣟⣿⡿⠿⠛⠋ ⣿⣿⣿⣿⣿⡿⢿⣿⣶⣿⣿⣿⢿⣿⣿⣿⣿⣿⡛⢂⣀⣠⣄⣀⡀⠀⠀⠀⠈⠛⠟⢿⣿⣿⣿⣿⣿⣿⣦⣄⡂⠀⢀⣀⣀⣀⣀⣤⣄⣤⣤⣬⡩⠭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀ ⠀⢀⣄⣁⠀⠀⠘⣻⣿⣷⣿⣷⣿⣿⣿⣿⣿⣿⣷⣷⣾⣶⣿⣿⡯⠉⢙⠀⠀⠀⠀⠀⠁⠀⢀⣶⣾⡿⠿⡯⠼⡿⠿⠛⠻⠿⢏⡉⢉⡟⠛⠛⣿⣶⣦⣭⣻⣛⡛⣿⡿⠿⠿⣿⣿⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣤⠿⠿⣿⣦⡠⠤⣤⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠉⣀⣿⣄⣿⣿⣶⣿⣿⡿⠂⠀⣺⣋⣄⡭⣻⣿⡏⠙⠘⠲⠲⢤⠌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠁⠀⠉⢻⡙⠛⠃⠀⠀⠀⢠⣀⣀⣀⣠⣤⣤⣤⣤⣶⣶⠶⠿⣿⣟⣛⣛⣻⣯⣭⡍⣭⣛⣛⠷⠶⠤⠤⠤⠤⣒⣂⠂⠤⠤⠤⠖⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠿⡿⡿⠯⠉⠋⠉⠁⢀⣀⣀⣀⣀⣠⣄⣄⣤⡀⠲⣷⠖⠚⣻⣟⣿⣿⣯⣭⣭⣿⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣛⣉⣭⣤⣶⣶⣾⣴⣶⣶⣶⠾⠿⠿⠛⠛⠛⠛⠉⠉⣭⢸⡻⣿⣶⣌⣃⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣽⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⢸⣭⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⢠⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠈⢹⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠉⠁⠀⢸⣿⣿⣿⡇⠐⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡿⠿⣛⣛⣫⣿⣿⣿⣿⣤⡄⢠⣴⣶⣤⠀⣶⣾⣿⣦⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣹⢥⣭⡌⢻⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠘⣿⣿⣿⢏⠂⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡟⠉⢩⣿⡿⣿⣿⣿⣿⣿⣿⡇⢸⣿⢸⣿⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠏⠋⢀⠸⢿⢽⣿⣿⣿⣿⠀⠀⠀⠀⢰⣿⣉⢉⡏⠀⡄⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣶⣶⣿⠏⢠⣿⣿⣿⣿⣿⢹⣿⢸⣿⡄⣿⡇⢿⣿⣻⣿⠟⣿⣿⣿⢻⣿⠛⣿⡟⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⠀⠀⠀⠀⠀⢹⣿⣿⣿⠀⠀⠀⠀⢴⣤⣀⣼⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀ 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⢶⣤⣾⣿⣶⣄⠠⢄⣼⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⣢⣀⣹⣷⣶⣿⣿⡿⠀⠀⣶⣟⣄⣉⢻⢿⠅⠀⠐⠷⠐⢦⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠛⠃⠀⠈⠙⡎⠉⠋⠀⠀⠀⣠⣀⣀⣀⣠⣤⣤⣤⣴⣶⣶⡶⠾⢿⣿⣛⣛⣛⣿⡯⡭⣭⣛⣛⠷⠶⠦⠤⠤⠤⠤⣀⠀⠀⠤⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡿⠿⠟⠿⠗⠛⠃⠀⢀⣀⣀⣂⣀⣀⣤⣤⣤⢠⣴⣄⠰⢾⡎⠉⣻⣿⣿⣯⣭⣭⣿⣿⣷⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣩⣭⣴⣶⣶⣶⣿⣴⣾⣿⣿⣟⠛⠛⠛⠛⠉⠉⠉⠉⢸⢰⠛⢿⣿⣦⣙⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⡛⠋⠉⠀⢸⣿⣿⣿⡇⠐⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣛⣛⣫⣉⣷⣿⣿⣿⣤⡄⢠⣴⣶⣤⠀⣶⣾⣿⣦⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⠭⣬⡥⢹⣿⢿⣿⣿⣿⣿⠀⠀⠀⠀⠘⣿⣿⣿⡇⡃⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠟⠀⢠⣿⡿⣿⣿⣿⣿⣿⣿⡇⢸⣿⢸⣿⡆⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠟⠛⠁⠰⠿⢿⣿⣿⣿⣿⠀⠀⠀⠀⢰⢿⣉⢉⡅⠅⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠏⢠⣿⣿⣿⣿⣿⢿⣿⢸⣿⡖⣿⡇⣿⣿⢻⣿⠚⣿⣿⣭⢹⣿⠛⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣷⠀⠀⠀⠀⠀⠸⣿⣿⣿⠀⠀⠀⠀⢰⣎⣀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⡘⣿⠸⠿⠈⠻⠷⠟⠃⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠿⠿⣿⠀⠀⠀⠀⣸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣀⠀⢠⣤⣤⠀⢤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⠀⠀⠀⠀⠈⠀⠀⠀⠀⣀⠀⠀⠀⠾⢿⣿⣿⡇⠀⡀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢸⣿⠹⣿⡆⣸⡟⣿⡄⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⣿⣿⣯⣯⣭⣽⣧⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢁⣀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢸⣿⠀⣠⣖⣿⣧⣽⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢿⣿⣿⣿⣧⠟⠁⠀⠀⢠⣶⣿⣷⣿⣿⣿⣾⣶⣶⣶⣤⣀⣤⣤⣤⣤⣄⣀⣀⣀⣀ ⣻⣿⣿⣿⣿⣇⠀⢀⠀⠀⠀⠀⢸⠘⠀⠀⠈⢿⣧⣿⡟⣿⣿⣽⠿⠟⢿⣇⠻⠃⠀⠀⠀⢠⣄⠀⢀⣀⡀⠀⠄⣈⠰⠀⠰⣶⣶⡷⣿⣿⣿⣿⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢤⣶⡨⢝⣛⠿⠁⢸⡦⠀⠀⠀⠘⡎⢀⠀⠀⠀⠀⠀⡇⠚⠻⠿⠂⠀⠈⠁⠸⠀⡅⢠⣿⣿⣿⣿⣿⣿⣿⣿⣧⣼⣥⣀⣟⢻⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢚⣾⣿⣷⣧⣄⠀⠈⠉⠀⠀⠀⠀⠁⠚⠠⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠠⠛⠛⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣟⠿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠈⠉⢿⣿⣿⣿⣶⣦⣄⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣭⣉⣉⡛⠉⠓⠉⠁⠈⠉⠙⠛⠃⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⣤⣤⣴⣿⣿⣿⣿⡿⠿⣷⣤⣤⣄⣐⡛⠴⡀⠄⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⡛⠛⠻⠿⠿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣤⣌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠻⣷⣶⣶⣶⡶⣶⣦⣤⣤⣤⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⣤⣐⢿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣛⣿⡿⠟⠛⠉ ⣿⣿⣿⣾⣿⠿⣿⣿⣶⣿⣿⣿⢿⣿⣿⣿⣿⣿⡋⣠⣀⣤⣤⣀⣀⠀⠀⠀⠈⠛⠛⠿⣿⣿⣿⡿⠿⢿⣶⣄⡀⠀⢀⣀⣀⣀⣀⣠⣄⣤⣤⣭⡥⠭⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠿⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀ ⠀⣀⣀⣀⠀⠀⢘⣿⢿⣿⣷⣷⣿⣿⣿⣿⣿⣿⣿⣷⣾⣶⣿⣿⡭⠉⠉⠀⠀⠀⠀⠀⠀⠀⢀⠶⢾⢿⣛⠣⠔⣟⠛⠟⠻⠛⢉⡈⢉⠛⠉⢙⣿⣶⣄⣸⣹⣍⣟⡹⠿⠿⠿⣿⣿⡿⠾⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡤⠾⠻⣾⣄⡐⢤⣤⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⣀⣂⣀⢹⣿⣖⣾⣿⡟⠀⠠⣾⣳⣠⣨⣙⡿⠁⠀⠚⠲⠰⢦⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠟⠛⠁⠀⠉⢹⡙⠛⠃⠀⠀⠀⢠⣀⣀⣀⣀⣤⣤⣤⣤⣴⣶⣶⡶⠾⠿⢟⣛⣛⣛⣛⡛⣛⣛⠿⢿⣤⣀⣀⣀⡤⠤⠤⠄⣀⣀⣠⡤⠀⠀⠠⠤⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠿⠿⠻⠿⠛⠛⠁⠀⠀⣀⣀⣀⣀⣠⣀⣤⣤⣄⣤⡀⠲⣷⡞⠋⣻⣿⣿⣿⣯⣭⣭⣽⣿⣷⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⣿⣷⣶⣶⣶⣶⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣭⣥⣴⣶⣶⣾⣯⣶⣶⣿⣿⡛⠛⠛⠛⠋⠋⠉⠉⠉⣥⠸⠻⣿⣷⣄⣃⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣻⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣨⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⠇⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠈⢹⣾⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠉⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣟⣛⣛⣍⣩⣿⣿⣿⣿⣤⡄⢠⣴⣶⣤⠀⣶⣾⣿⣦⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡛⢥⣞⡍⢻⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠸⣿⣿⣿⡷⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠃⠀⣰⣿⠿⣿⣿⣿⣿⣿⣿⡇⢸⣿⢸⣿⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠟⠛⠁⢸⢿⣽⣿⣿⣿⣿⠀⠀⠀⠀⢠⢽⠉⠙⡾⠀⡄⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠃⢰⣿⣿⣿⣿⣿⢽⣿⢸⣿⡄⣿⡇⣿⣿⢻⣿⠛⣿⣿⣿⢻⣿⠛⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⠀⠀⠀⠀⠈⢹⣿⣿⡿⠀⠀⠀⠀⣸⣉⡁⣸⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⡘⣿⠸⠿⠈⠻⠷⠟⠃⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⠀⠀⠀⠀⠀⠈⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣀⠀⢠⣤⣤⠀⢤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⣿⣿⣿⣿⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠹⣿⡆⣸⡟⣿⡄⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⣿⣿⣿⣯⣿⣿⣯⣟⠀⠀⠀⠀⠀⠀⠀⠀⢀⢃⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⢸⣿⠀⣠⣖⣿⣧⣽⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⢿⣿⣿⣿⣤⠟⠀⠀⠀⢠⣮⣭⣥⣿⣿⣷⣷⣶⣶⣤⣤⣀⣤⣤⣤⣤⠀⡀⣀⣀⡀ ⠿⣿⣿⣿⣿⡇⠀⢀⠀⠀⠀⠀⢸⠚⠀⠀⠈⢿⣧⣿⡟⣿⣿⣽⠿⠟⣿⣇⠻⠃⠀⠀⠀⢀⡀⠀⠀⢀⡀⠀⠄⣈⠠⠀⢰⣶⣶⣷⣿⣿⣿⣿⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣼⣆⡪⢍⣛⠯⠁⢸⡦⢀⠀⠀⠸⡌⡄⠀⠀⠀⠀⠀⡇⠚⠻⠿⠂⠀⠈⠀⠸⠀⡄⢠⣿⣿⣿⣿⣿⣿⣿⣿⣧⣽⣅⣀⡞⢻⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢺⣾⣿⣷⣦⣄⠀⠈⠁⠀⠀⠀⠀⠑⠒⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠓⠤⠛⠛⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣧⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠂⠈⠉⢿⣿⣿⣿⣶⣦⣄⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣭⣉⣁⡛⠉⠛⠉⠁⠈⠋⠙⠛⠃⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⣤⣤⣾⣿⣿⣿⣿⡿⢿⣷⣤⣤⣄⣐⡛⠴⣀⠄⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢙⡛⠛⠛⠿⠿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣥⣌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠻⣷⣶⣶⣶⣶⣶⣦⣤⣤⣤⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣠⣀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⡿⠟⠛⠋ ⣿⣿⢿⣿⣿⠟⢿⣿⣶⣿⣿⣿⢿⣿⣿⣿⣿⣿⡋⢣⣀⣤⣤⣀⣀⢀⠀⠀⠈⠛⠛⠿⢿⣿⣿⡿⠿⢿⣶⣄⡂⠀⢀⣀⣀⣀⣠⣤⣤⣤⣤⣬⣥⢭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠁⠀⠀⠀⠀ ⠀⣀⣄⣀⠀⠀⠘⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣷⣿⣿⣭⠩⠍⠀⠀⠀⠀⠀⠀⠀⢀⣲⣾⢿⣿⠧⠶⢛⢛⠛⠛⠻⢋⣁⢀⠋⠉⠻⣿⣷⣦⣤⣿⢟⢋⡻⠿⠿⠿⣿⣿⡿⠿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡤⠾⠛⣿⣦⡐⢠⣤⣿⣿⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⣀⣻⣦⣻⣿⡖⣿⣿⣿⠀⢰⣾⣿⣦⣠⡽⣛⡃⠀⠈⠒⠂⢴⡌⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠟⠛⠀⠀⠉⢳⠙⠛⠃⠀⠀⠀⢠⣀⣀⣀⣀⣤⣤⣤⣤⣤⣶⣶⡶⠶⠿⠿⣛⣛⣛⣛⡛⣛⣻⠿⣿⣥⣀⣀⣀⣀⠤⠤⠄⣀⣀⣀⡤⠠⠤⠄⠄⠀⠠⠀⠀⠀⠀ ⣿⣿⣿⠿⠿⠿⠻⠿⠚⠛⠀⠀⣀⣀⣐⣀⣀⣠⣠⣤⣄⣤⣦⡀⠲⣷⠎⢙⣛⣿⣿⣿⣭⣭⣭⣽⣿⣷⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣶⣶⣶⣶⣶⣾⣿⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣭⣤⣶⣶⣶⣾⣧⣶⣾⣿⣿⡛⠛⠛⠛⠋⠉⠉⠉⠉⣄⡼⠻⣿⣷⣌⣣⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣻⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣭⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠉⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣟⣛⣛⣭⣹⣾⣿⣿⣿⣤⡄⢠⣴⣶⣤⠀⣶⣾⣿⣦⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡛⢤⣞⡌⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠼⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠋⠀⣸⣿⢿⣿⣿⣿⣿⣿⣿⡇⢸⣿⢸⣿⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠟⠛⠁⢰⢿⣸⣿⣿⣿⣿⠀⠀⠀⠀⢠⣽⠋⠛⡿⠀⡄⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠃⢰⣿⣿⣿⣿⣿⢹⣿⢸⣿⡖⣿⡇⢿⣿⢻⣿⠛⣿⣿⣽⢻⣿⠛⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣶⠀⠀⠀⠀⠈⢹⣿⣿⣿⠀⠀⠀⠀⣸⣉⠉⣸⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣷⣿⣿⣿⢿⣿⡘⣿⠸⠿⠈⠻⠷⠟⠃⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣟⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣀⠀⢠⣤⣤⠀⢤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⣿⣿⣿⣿⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠹⣿⡆⣸⡟⣿⡄⢸⣿⣼⣿⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠉⠛⠻⢿⣿⣿⣿⣯⣽⣿⣯⣟⠀⠀⠀⠀⠀⠀⠀⠀⢀⠁⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⢸⣿⠀⣠⣆⣿⣧⣽⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢿⣿⣿⣿⣤⠟⠀⠀⠀⢠⣯⣭⣥⣽⣿⣿⣿⣶⣦⣤⣤⣀⣤⣤⣤⣀⠀⡀⢀⠀⠀ ⠻⢿⣿⣿⣿⣇⠀⢀⠀⠀⠀⠀⢸⠙⠀⠀⠈⢿⣧⣿⡟⣿⣿⣽⠿⠟⣿⣇⠻⠃⠀⠀⠀⢠⣀⠀⢀⢀⡀⠂⡄⣈⠠⠀⢰⣶⣶⣷⣿⣿⣿⣿⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢬⢦⣒⠭⣝⠫⠁⢸⡶⠠⠀⠀⠘⡎⢀⠀⠀⠀⠀⠀⡇⠘⠻⠟⠂⠀⠈⠁⠸⠀⡄⢠⣿⣿⣿⣿⣿⣿⣿⣿⣧⣽⣅⣀⡞⢻⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣐⣿⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠚⠤⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠀⠛⠛⠛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣟⠿⣿⣿⣿⣿⣿⣧⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠈⠻⣿⣿⣿⣷⣶⣄⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣦⣤⣭⣉⣉⡛⠉⠓⠉⠁⠈⠋⠙⠛⠃⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢶⣦⣴⣾⣿⣿⣿⣿⣿⢿⣷⣶⣤⣤⣌⡛⠴⡠⠄⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⡛⠛⠛⠿⠿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣤⣦⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣻⣿⣷⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢷⣾⣶⣶⣶⣶⣶⣦⣤⣤⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣠⣤⣄⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⡿⠿⠛⠋ ⡿⠿⠾⣿⡯⠟⢿⣻⡿⣿⣿⣿⢯⣿⢿⣿⣿⣿⡛⢡⣀⣤⣤⣀⣀⣀⠀⠀⠀⠙⠛⠻⣿⣿⣿⡿⠿⠿⣶⣤⡀⡀⢀⣀⣀⣀⣠⣤⣤⣤⣬⣭⣥⣭⣭⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⠛⠉⠁⠀⠀⠀⠀ ⠀⣠⣤⣄⢀⠀⠘⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⠠⣭⠁⠀⠀⠀⠀⠀⠀⠀⠶⠿⢿⣿⠗⡺⡟⠛⠛⠿⠟⢫⣈⣉⠛⠉⠹⣿⣿⣦⣨⡍⣙⣋⠻⡿⠿⠿⣿⣿⡿⠽⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣄⠿⠋⢿⣧⣄⠀⣤⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⢀⣐⣻⣴⣾⣿⣞⣻⣿⣟⡀⢐⣼⣟⣆⣾⣛⢿⡿⠁⠀⠳⠂⢴⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠛⠛⠁⠀⠉⠹⡉⠙⠃⠀⠀⢀⣄⣀⣀⣀⣤⣤⣤⣤⣤⣷⣶⡶⠶⠾⠿⣛⣛⣛⣻⡟⠛⣛⣛⡿⢿⣤⣀⣀⣀⡠⠤⠤⠄⣀⣀⣀⡤⠠⠄⠄⠄⠀⠀⠀⠀⠀⠀ ⣿⣿⡿⠿⠿⠛⢛⠛⠛⠁⠀⢀⣀⣐⣀⣀⣠⣤⣤⣤⣄⣄⣶⣀⠲⣷⡏⠉⣿⣿⣿⣭⣭⣭⣽⣿⣷⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣷⣶⣶⣶⣶⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣴⣶⣾⣿⣿⣷⣾⣿⣿⣿⡛⠛⠛⠛⠉⠉⠉⠉⠀⣦⡸⠻⢿⣷⣄⣣⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣻⣼⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⠇⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠉⠀⢸⣿⣿⣿⡇⠠⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣛⢋⣩⣭⣽⣿⣿⣿⣿⣤⡄⢠⣴⣶⣤⠀⣶⣾⣿⣦⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡛⢥⣌⡌⢻⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠸⣿⣿⣿⡗⠆⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠋⢀⣸⣿⢿⣿⣿⣿⣿⣿⣿⡇⢸⣿⢸⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠟⠛⢁⠴⢿⢸⣿⣿⣿⣿⠀⠀⠀⠀⢠⣽⠋⠙⡯⠁⡀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡿⠁⣸⣿⣿⣿⢿⣿⢹⣿⢸⣿⡖⣿⡇⢿⣿⢹⣿⠋⣿⣯⣭⢹⣿⠙⣿⡟⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⠀⠀⠀⠀⠀⢹⣿⣿⣿⠀⠀⠀⠀⣸⣉⠉⣸⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡘⣿⠸⠿⠈⠻⠷⠟⠃⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⠀⠀⠀⠀⠒⠀⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣀⠀⢠⣤⣤⠀⣤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⣿⣿⣿⣿⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠹⣿⡆⣼⡿⣿⡄⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⣿⣿⣿⣯⣭⣿⣯⣟⠀⠀⠀⠀⠀⠀⠀⠀⢀⢃⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢠⢀⠀⠀⢸⣿⠀⣠⣇⣿⣧⣽⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢿⣿⣿⣿⣤⠟⠀⠀⠀⢠⣮⣭⣥⣿⣿⣿⣿⣶⣦⣤⣤⣀⣤⣤⣤⣀⠀⡀⢀⠀⠀ ⠛⠿⢿⣿⣿⣇⠀⢀⡀⠀⠀⠀⢸⠉⠀⠀⠈⢿⣧⣿⡟⣿⣿⣿⠿⠟⢿⣇⠻⠃⠀⠀⢀⢠⣄⠀⣀⣀⡀⠀⠄⣈⠰⠀⢰⣶⣶⣷⣿⣿⣿⣿⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢾⢦⣔⡢⢭⡋⠁⢸⣶⠠⠀⠀⠘⡎⢤⠀⠀⠀⠀⠀⠇⠈⠻⠟⠀⠀⠈⠀⠸⠀⡄⢠⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣥⣀⡟⢻⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠩⠿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠈⠈⠤⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠂⠙⠛⠛⠛⠿⠿⢿⣿⣿⣿⡿⣿⣿⣟⠿⣿⣿⣿⣿⣿⣇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠹⣿⣿⣿⣿⣷⣦⠀⠀⠀⠄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣤⣬⣍⣉⡋⠉⠃⠈⠁⠈⠉⠙⠛⠃⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡾⠶⣶⣾⣿⣿⣿⣿⣟⣻⣿⣶⣶⣦⣬⡑⠚⠤⠀⠒⠂⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⢉⡛⠛⠛⠻⠿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⣶⢿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢿⣿⣿⣶⣶⣶⣶⣶⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢀⣀⣀⣠⣄⣤⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣟⣿⣿⡿⠿⠛⠛ ⠿⠿⠻⠿⠿⠟⢻⣿⣿⡿⣿⡿⣻⣿⣿⣿⣿⣿⡝⡁⣤⡤⢤⣤⣀⣀⡀⠀⠀⠉⠛⠻⣿⣿⡿⠿⠿⠿⣶⣦⣀⣀⣀⣀⣀⣀⣤⣤⣦⣤⣥⣭⣭⣭⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⠿⠛⠉⠁⠀⠀⠀⠀ ⣀⣤⣦⣤⢀⠀⠈⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣉⡁⠀⠀⠀⠀⠀⠀⠠⠾⢿⡿⡿⢳⣾⡿⠛⠛⠿⠿⢭⣀⣩⠟⠋⢹⣿⣿⣶⣞⣟⣿⣙⠛⣿⠿⠿⣿⣿⡿⠿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡭⣤⠚⡉⢿⣧⡄⠀⠤⢿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⡀⣉⣿⣬⣽⣿⣿⣛⣿⣯⡢⣦⣷⣏⣦⣬⣟⣿⠏⠀⠒⠒⠒⢦⡍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠟⠛⠛⠀⠀⠁⠹⡈⠉⠁⢀⣀⣀⣀⣀⣠⣤⣤⣤⣼⣶⡶⠶⠾⢿⣿⣛⣛⣛⣫⣭⣭⣭⡍⣭⣝⣛⡻⠾⠤⠤⠤⢄⣒⣒⠂⠠⠤⠤⠶⠐⠀⠀⠐⠒⠀⠀⠀⠀⠀ ⣿⣿⣿⠿⠿⠟⢛⠛⠛⠃⠀⢀⣀⣀⣀⣀⣤⣤⣤⣤⣤⠆⣶⣀⠒⢿⡋⠉⣿⣯⣭⣽⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣥⣴⣶⣶⣿⣿⣷⣶⣿⣿⣿⡛⠛⠛⠛⠉⠉⠉⠁⠀⣦⣾⠛⢿⣷⣄⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣽⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⡿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⢠⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢻⢿⣿⣿⣿⣿⣿⣿⣿⠋⠉⠁⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣛⣛⣋⣍⣽⣾⣿⣿⣿⣤⡄⢠⣴⣶⣤⠀⣶⣿⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⣵⣭⡎⠻⣿⢿⣿⣿⣿⣿⠀⠀⠀⠀⠚⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡿⠃⠀⣼⣿⢿⣿⣿⣿⣿⣿⣿⡇⢸⣿⢸⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠀⠾⢿⢽⣿⣿⣿⣿⠀⠀⠀⠀⢰⣿⣉⢉⡞⠀⡆⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡿⠃⣸⣿⣿⣿⢿⣿⢹⣿⢸⣿⡖⣿⡇⢿⣿⢹⣿⠋⣿⣯⣭⢹⣿⠙⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⢹⣿⣿⡟⠀⠀⠀⠀⣴⣄⣀⣼⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣷⣿⣿⣿⢿⣿⡘⣿⠸⠿⠈⠻⠷⠟⠃⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⠀⠀⠀⠀⠀⠈⠿⠿⡧⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⣤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠿⠿⠿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢸⣿⠹⣿⡆⣸⡿⣿⡄⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⠿⣿⣿⣿⣯⣭⣽⣯⣿⠀⠀⠀⠀⠀⠀⠀⠀⡀⣁⣀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⣠⣖⣿⣧⣽⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢿⣿⣿⣿⣾⠛⠀⠀⠀⢰⣶⣾⣶⣿⣿⣷⣷⣶⣶⣶⣶⣤⣤⣤⣤⣤⣀⡀⣀⣀⣀ ⠿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⢠⠛⠀⠀⠘⢿⣧⣿⠟⣿⣿⣽⠿⠿⣿⡃⢻⠃⠀⠀⠀⢠⣄⠀⣀⣀⠀⠀⠄⣈⠰⠀⢰⣶⣾⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢴⣤⡪⢭⡛⠋⠀⣿⡁⢀⠀⠀⢸⠀⡄⠀⠀⠀⠀⢸⠀⠛⠿⠟⠀⠀⠉⠀⠘⢸⡀⢤⣿⣿⣿⣿⣿⣿⣿⣿⣦⣧⣄⡀⡟⢿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢺⣿⣿⣷⣤⣁⠀⠈⠁⠀⠀⠀⠈⠰⠃⠤⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠈⠛⠛⠛⠻⠿⠿⣿⣿⣿⣿⡿⣿⣿⡿⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠈⠉⢿⣿⣿⣿⣶⣦⣄⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣭⣉⣉⡋⠉⠃⠉⠀⠈⠁⠛⠛⠃⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢶⣤⣤⣾⣿⣿⣿⣿⡿⣿⣶⣤⣤⣬⣙⠣⠦⡠⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⡛⠛⠻⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣤⣬⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣷⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣷⣶⣶⣶⣶⣶⣶⣤⣤⣤⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣠⣠⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿⣿⣿⡿⠟⠛⠋⠉ ⣿⡿⣿⣾⣿⠿⣿⣿⣶⣿⣿⡿⣿⣿⣿⣿⣿⣟⡛⣀⣀⣤⣄⣀⣀⡀⠀⠀⠈⠛⠛⠿⣿⣿⣿⠿⠿⢿⣶⣴⢀⣀⣀⣀⣀⣠⣤⣶⣶⣦⣽⣤⣤⣭⠭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣻⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀ ⠀⣠⣀⣀⠀⠀⢛⣿⢿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⡍⠭⠍⠀⠀⠀⠀⠀⠀⠀⢰⣶⡿⢟⣿⣦⣾⡟⢛⢛⠻⠛⣉⡉⡽⠋⠙⣿⣿⣷⣦⣮⣩⣿⡝⣟⠿⠿⠿⣿⣿⠿⠾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡤⠾⢻⣿⣆⢰⢠⣼⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⣊⣻⣼⣿⣿⣿⢻⣿⡧⣷⣴⣽⣷⣤⣿⡫⣿⠋⠃⠛⠛⠰⣮⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠟⠛⠛⠀⠀⠁⠹⡌⠉⠁⠀⣀⣀⣀⣀⣠⣤⣤⣤⣼⣶⡶⠶⠾⣿⣿⣛⣛⣛⣫⣭⣭⣭⡍⣭⣝⣛⡻⠾⠤⠤⠤⢔⣒⣒⠂⠠⠤⠤⠶⠐⠀⠀⠒⠒⠀⠀⠀⠀⠀ ⣿⣿⡿⠿⠿⠟⢛⠛⠛⠃⠀⢀⣀⣀⣀⣀⣤⣤⣤⣤⣤⢆⣶⣀⠲⢿⡋⠉⣿⣯⣭⣽⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣥⣴⣶⣾⣿⣿⣷⣾⣿⣿⣿⡛⠛⠛⠛⠉⠉⠉⠉⠀⣦⣾⠛⢿⣷⣄⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣽⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⡿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⢠⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢻⢿⣿⣿⣿⣿⣿⣿⣿⠛⠉⠁⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣛⣛⣋⣍⣽⣾⣿⣿⣿⣤⡄⢠⣴⣶⣤⠀⣶⣿⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⣵⣭⡆⠻⣿⢿⣿⣿⣿⣿⠀⠀⠀⠀⠺⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡿⠃⠀⣼⣿⢿⣿⣿⣿⣿⣿⣿⡇⢸⣿⢸⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠋⠀⠾⠿⣼⣿⣿⣿⣿⠀⠀⠀⠀⢰⣿⣉⢉⡟⠀⡆⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡿⠁⣸⣿⣿⣿⢿⣿⢹⣿⢸⣿⡖⣿⡇⢿⣿⢹⣿⠋⣿⣯⣭⢹⣿⠙⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⢹⣿⣿⡟⠀⠀⠀⠀⣴⣄⣀⣼⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣷⣿⣿⣿⢿⣿⡘⣿⠸⠿⠈⠻⠷⠟⠃⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⠀⠀⠀⠀⠀⠈⠿⠿⡧⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⣤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠿⠿⠿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢸⣿⠹⣿⡆⣸⡿⣿⡄⢸⣿⣼⣿⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠉⠙⠻⠿⣿⣿⣿⣯⣭⣽⣯⣿⠀⠀⠀⠀⠀⠀⠀⠀⡀⣁⣀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⣠⣖⣿⣧⣽⣷⢸⣿⡟⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢿⣿⣿⣿⣾⠛⠀⠀⠀⢰⣶⣾⣶⣿⣿⣷⣷⣶⣶⣶⣶⣤⣤⣤⣤⣤⣀⡀⣀⣀⣀ ⠿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⢠⡛⠀⠀⠈⢿⣧⣿⠟⣿⣿⣽⠿⠿⣿⡃⢻⠃⠀⠀⠀⢠⣄⠀⣀⣂⠀⠀⠄⣈⠲⠀⢰⣶⣾⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⣤⡪⢭⡛⠋⠀⣿⡀⢀⠀⠀⢸⠀⡄⠀⠀⠀⠀⢸⠀⠛⠿⠟⠀⠀⠉⠀⠘⢸⡀⢤⣿⣿⣿⣿⣿⣿⣿⣿⣦⣧⣄⡀⡟⢿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢺⣿⣿⣷⣤⣁⠀⠈⠁⠀⠀⠀⠈⠰⠃⠤⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠈⠛⠛⠛⠛⠿⠿⣿⣿⣿⣿⡿⣿⣿⡿⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠉⢿⣿⣿⣿⣶⣦⣄⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣭⣉⣉⠋⠉⠃⠉⠀⠈⠁⠙⠛⠃⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢶⣤⣤⣾⣿⣿⣿⣿⡿⣿⣶⣤⣤⣬⣙⠣⠦⡠⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢙⡛⠛⠻⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣤⣬⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣷⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣷⣶⣶⣶⣶⣶⣶⣤⣤⣤⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣠⣠⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿⣽⣿⡿⠟⠛⠋⠉ ⣿⡿⣿⣾⣿⠿⣿⣿⣶⣿⣿⡿⣿⣿⣿⣿⣿⣟⡛⣀⣀⣤⣄⣀⣀⡀⠀⠀⠈⠛⠛⠿⣿⣿⣿⡿⠿⢿⣦⣄⢀⣀⣀⣀⣀⣠⣤⣴⣶⣶⣵⣤⣤⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣻⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀ ⠀⣠⣀⣀⠀⠀⢛⣿⢿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⡍⠭⢍⠀⠀⠀⠀⠀⠀⠀⢐⡶⣿⣿⣿⣦⣾⡟⡛⢛⠿⠛⣅⡉⣽⠋⠙⢿⣿⣷⣶⣮⣯⣝⡙⠻⠿⠿⠿⣿⣿⠷⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡤⠾⠻⣿⣆⢐⢤⣼⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠐⠀⠀⣀⣀⠀⢈⢋⣻⣦⣽⣿⣿⣻⣿⣯⣶⣤⣾⣷⣦⣚⢽⣿⠐⠉⠙⠛⠲⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠟⠛⠛⠛⠛⠋⠉⠁⠀⠀⠀⢳⣀⣀⣀⣀⣤⣤⣤⣤⣴⣶⠶⠶⣾⣿⣟⣛⣛⣿⣿⣭⣭⣭⣵⣶⣶⣶⠰⣶⣭⣭⣛⣛⣒⣒⣒⣮⣭⡍⠀⠒⠒⠚⠋⠁⠀⠀⠁⠁⠀⠀⠀⠀⠀ ⣿⡿⠿⠛⠛⣋⡙⠋⣉⣁⣀⣀⣤⣤⣤⣤⣤⣶⣶⠶⠆⢼⣷⣌⠛⢿⠀⢸⣿⣿⣷⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣶⣿⣿⣿⣿⣾⣿⣿⣿⣯⡍⠉⠉⠉⠀⠀⠀⠀⠀⡇⡏⢛⣿⣷⣬⣽⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣷⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠁⣴⣶⣶⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⣻⢿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⣿⣿⣿⣿⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡿⠿⠭⣭⣥⣾⣿⣿⣿⣧⣤⡄⢠⣴⣶⣤⠀⣶⣿⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣎⣲⣶⠆⢛⣟⣿⣿⣿⣿⡇⠀⠀⠀⠀⠙⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡿⣁⣀⣼⣿⢻⣿⣿⣿⣿⣿⣿⡇⢸⣿⢸⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣟⠉⠁⠀⠛⠻⠺⣿⣿⣿⣧⠀⠀⠀⠀⢛⠯⠤⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡟⠁⣼⣿⣿⣿⢿⣿⢻⣿⢸⣿⡞⣿⡇⢿⣿⢹⣿⠉⣿⣧⣬⢹⣿⠹⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⢹⣿⣿⡏⠀⠀⠀⠀⣿⣦⣤⣾⡇⠀⠁⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣾⣿⣿⣿⢻⣿⠘⣿⠸⠿⠈⠻⠷⠟⠃⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⠀⠀⠀⠀⠀⠀⠛⠛⠇⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣀⠀⢠⣤⣤⠀⣤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠛⠛⠛⠿⠇⠀⠃⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠹⣿⡆⣼⡿⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠉⠛⠛⠿⢿⣿⣷⣾⣿⣷⣿⠀⣀⠀⠀⠀⠀⠀⣀⠀⣠⣤⡦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢠⢀⠀⠀⢸⣿⠀⣤⣅⣿⣷⣿⣷⢸⣿⡟⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠈⡻⣿⣿⣿⣾⠋⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣶⣶⣶⣶⣦⣤⣤⣤⣤ ⠻⠿⣿⣿⣿⣇⠀⢀⠀⠀⠀⠀⢸⠉⠀⠀⠈⢿⣧⣿⡟⣿⣿⣿⠿⠟⢿⡧⢛⠇⠀⠀⣀⣠⣄⣀⣀⣀⣀⣀⠂⣤⠐⠀⢸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢮⢶⣔⡪⣍⡋⠁⢸⡶⠠⠀⠀⠘⡎⢤⠀⠀⠀⠀⠀⠇⠉⠛⠛⠁⠀⠀⠀⠘⡀⡄⢰⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣏⣹⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣚⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠈⠤⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠉⠙⠛⠛⠛⠻⠿⠿⣿⣟⡿⣿⣿⡟⢻⡿⠻⡿⣿⣿⡷⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠻⣿⣿⣿⣿⣶⣤⠀⠀⠀⠄⢀⡀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣶⣦⣤⣭⣉⣈⠉⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢶⣦⣶⣾⣿⣿⣿⣿⣿⣿⣷⣶⣶⣤⣭⡓⢺⡠⠀⠒⠂⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⣍⡉⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣤⣶⣽⣿⣿⣿⣿⣿⠿⣿⣿⣿⣻⣿⣿⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢿⣿⣿⣿⣿⣷⣶⣶⣶⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣠⣤⣠⣶⣴⣻⣿⣿⣿⣿⣿⣿⣿⣷⣼⣿⣿⣾⣿⣿⠿⠟⠋⠉⠀ ⣿⠿⠶⣿⡿⠟⢻⣻⣿⣿⣿⣿⢯⣽⢿⣿⣿⣿⡍⣩⢠⣤⢤⣤⣀⣀⡀⠀⠀⠉⠛⠛⢿⡿⠿⠿⠿⣿⣷⣦⢄⣀⣀⣤⣠⣤⣴⣶⣶⣤⣤⣦⣤⣲⠒⠯⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⡿⠛⠉⠀⠀⠀⠀⠀⠀ ⠀⣠⣤⣄⢀⠀⠘⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡀⣈⡁⠀⠀⠀⠀⠀⠀⠠⠾⠿⠿⣿⠖⣎⣟⠋⣙⣝⠛⢥⣤⣰⠏⠈⢉⣿⠶⢷⣤⣢⣬⡭⡉⡟⠛⠛⣻⢿⠟⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣻⣤⠾⠋⢿⣷⣔⠀⣤⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⣀⠀⣠⣤⡀⠀⡠⣤⣦⣨⣿⡿⠏⣿⣟⡁⢠⣯⣷⣶⣶⣽⢿⠗⠀⠐⠛⠑⠳⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠟⠛⠛⠋⠁⠀⠀⠈⢧⠉⣉⣀⣀⣀⣤⣤⣤⣤⣴⣶⠶⠶⠾⣿⣿⣛⣛⣿⣯⣭⣭⣭⣵⣶⣶⢰⣮⣭⣝⣛⣓⣒⣒⣒⣮⣭⠍⠐⠒⠒⠚⠉⠉⠀⠈⠉⠁⠀⠀⠀⠀⠀ ⣿⣿⠿⠿⠟⢛⡛⠟⠉⢀⣀⣀⣀⣠⣤⣤⣤⣤⣴⣶⠴⣶⣦⣈⠻⣟⠉⢩⣿⣿⣿⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣶⣶⣿⣿⣿⣶⣿⣿⣿⣿⠛⠋⠉⠉⠉⠉⠀⠀⢰⣤⡋⢻⣿⣷⣬⣴⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⢀⣇⡆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⣶⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⡿⣿⣿⣿⣿⣿⣿⣿⡏⠁⠀⠀⠀⣿⣿⣿⣿⢀⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣟⣛⢋⣭⣧⣾⣿⣿⣿⣧⣤⡄⢠⣴⣶⣤⠀⣶⣿⣷⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣕⣳⣶⠈⣻⣟⣿⣿⣿⣿⡇⠀⠀⠀⠀⢹⣿⣿⣿⢨⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡟⠁⢀⣾⣿⢻⣿⣿⣿⣿⣿⣿⡇⢸⣿⢸⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣟⠉⠀⠔⠛⠓⠿⣿⣿⣿⡇⠀⠀⠀⠀⠟⠧⠄⣼⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠟⠀⣾⣿⣿⣿⢿⣿⢻⣿⢸⣿⡞⣿⡇⢿⣿⢹⣿⠉⣿⣯⣭⢹⣿⠹⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡇⠀⠀⠀⠀⠀⢻⣿⣿⡇⠀⠀⠀⠀⣿⣤⣤⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⣯⣤⢚⡋⢿⣧⣔⠠⠼⢿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⠀⠀⠀⠀⣀⣀⢀⣤⣤⡀⢠⣬⣮⣾⣿⣿⣧⣾⣿⣏⡬⣾⣿⣶⣶⣮⣿⣿⡛⠀⠈⠉⠈⠲⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠛⠛⠛⠉⠁⠀⠀⠀⢧⠀⣁⣀⣀⣤⣤⣤⣤⣴⣷⠶⠶⣿⣟⣛⣛⣻⣿⣯⣭⣭⣭⣶⣶⢶⣶⣰⣶⣾⣭⣝⣛⣚⣦⣭⣭⣭⡆⠀⠚⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠿⠿⠛⢛⡛⠟⠉⣀⣀⣀⣀⣤⣤⣤⣤⣤⣶⣶⠴⣼⣦⣘⠻⢯⠀⢸⣿⣿⣷⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⣶⣶⣿⣿⣿⣶⣿⣿⣿⣿⠛⠉⠉⠉⠈⠁⠀⠀⢰⡆⡋⢻⣿⣷⣬⣼⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣽⣷⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⣷⡆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⣶⣶⣶⣶⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢉⡝⢿⣿⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⣿⣿⣿⣿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣟⣛⢩⣭⣥⣾⣿⣿⣿⣧⣤⡄⢠⣴⣶⣤⠀⣶⣿⣷⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣿⡶⠀⣻⡟⣿⣿⣿⣿⡇⠀⠀⠀⠀⡙⡿⠿⠿⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡟⠁⢀⣾⣿⢻⣿⣿⣿⣿⣿⣿⡇⢸⣿⢸⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣏⡈⠀⠐⠛⠛⠻⣿⣿⣿⡇⠀⠀⠀⠀⣩⠽⠀⣾⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡟⠀⣾⣿⣿⣿⢿⣿⢻⣿⢸⣿⡞⣿⡇⢿⣿⢹⣿⠉⣿⣧⣤⢹⣿⠸⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⡀⢹⣿⣿⡇⠀⠀⠀⠀⣿⣶⣶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣾⣿⣿⡿⢻⣿⠘⣿⠸⠿⠈⠻⠷⠟⠃⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⠀⠀⠀⠀⠀⠈⠛⠛⠃⠀⠀⠀⠀⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⢤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠉⠩⣿⢿⢿⣿⡿⣿⣿⣿⣿⣿⣯⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠛⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢸⣿⠹⣿⡆⢼⡿⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠈⠙⠛⠛⠿⢿⣿⣿⣿⣿⣷⢀⣄⠀⠀⠀⠀⠤⠠⣂⣴⣶⣖⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⡄⣀⠀⠀⢸⣿⡀⣤⣭⣿⣷⣽⣷⣸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠠⠄⠀⣀⣐⣻⣿⣿⣿⣿⠁⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣶⣦⣶⣶⣶ ⠻⠿⢿⣿⣿⣄⠀⣀⠀⠀⠀⠀⢡⠍⠀⠀⠈⢿⣧⣿⠟⣿⣿⣿⠿⠟⢿⠇⢻⢣⠀⠀⣠⣴⣦⣬⣭⣥⣀⣀⠀⠾⠙⠀⣸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢺⢷⣤⡊⠍⠋⠀⣿⡅⠢⠀⠀⢸⠀⡆⠀⠀⠀⠀⢸⠁⠉⠛⠋⠀⠀⠀⠀⠈⣸⡄⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣖⣯⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠸⣿⣿⣿⣶⣄⣀⠀⠀⠀⠀⠀⠀⠘⠁⠒⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠉⠉⠉⠉⠛⠛⠛⠿⢿⣿⣛⡿⣿⡏⢻⠟⠻⡿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⢻⣿⣿⣿⣿⣶⣦⠀⠀⠠⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣶⣶⣶⣦⣤⣀⠁⠀⠀⠀⠀⠈⠀⠁⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠶⣶⣶⣾⣿⣿⣿⣿⣟⣟⣿⣷⣶⣦⡭⠜⠓⠔⠂⠒⠀⠀⠀⠀⠀⢀⣀⣀⡀⢀⣀⠀⠀⠀⠀⠀⠀⠠⠤⠠⠉⠉⠉⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿ ⣴⣦⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠈⠙⢻⣿⣿⣿⣿⣿⣿⣿⣷⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠴⠤⠴⠶⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⠟⠛⠉⠀⠀⠀ ⠿⠿⠿⡿⠯⠟⢿⣿⣿⡿⣿⣿⣻⣿⣿⣿⣿⣿⣍⡴⣤⣶⣶⣤⣤⢤⣀⡀⠀⠈⠉⠙⠿⠿⠟⣛⣛⣻⣿⠷⢤⣤⣤⣤⣴⣶⡾⠿⠿⣿⣿⣷⣾⣿⡛⡛⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀ ⢀⣤⣤⣤⢀⠀⠨⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣔⣦⡄⠀⠀⠀⠀⠀⠀⠀⠛⠻⠛⠙⠛⢿⣟⠙⣥⣤⣉⣵⣦⣴⠉⡀⢺⣿⠛⠿⣟⣿⡻⠓⢥⣯⢉⣫⠿⠟⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣤⠚⡋⢿⣧⡔⠀⠤⢿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⣀⣀⣠⣤⣦⡄⢄⣶⣶⣷⡾⡿⣿⣿⣿⣯⡡⣴⡿⣶⣿⣿⢷⣿⡏⠀⠀⠀⠈⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⠿⠿⠿⠛⠛⠛⠛⠛⠋⠉⠁⠀⠀⠈⣆⢀⣀⣀⣠⣤⣤⣤⣤⣶⡶⠶⢶⣿⣟⣛⣛⣻⣿⣯⣭⣭⣭⣶⣶⣶⡦⢴⣶⣭⣍⣛⣓⣒⣒⣺⣭⣭⠀⠀⠒⠚⠋⠁⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀ ⣿⠿⠟⠛⠛⣉⠛⢉⣉⣀⣀⣠⣤⣦⣤⣤⣶⣶⡶⠶⠰⣿⣦⣈⠻⣇⠀⣾⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣯⠉⠉⠉⠁⠀⠀⠀⠀⢸⢸⠋⢹⣿⣷⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⢿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠏⠀⣶⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠸⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢋⡿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⣿⣿⣿⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡿⠯⢭⣥⣤⣾⣿⣿⣿⣧⣤⡄⢠⣴⣶⣤⠀⣶⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣵⣷⡶⠈⣻⡟⣿⣿⣿⣿⡇⠀⠀⠀⠀⠙⣿⡿⣿⠬⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣏⣀⣠⣿⣿⢹⣿⣿⣿⣿⣿⣿⡇⢸⣿⢸⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣏⠈⠀⠜⠛⠓⠻⣿⣿⣿⡇⠀⠀⠀⠀⡿⠧⠄⣼⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠏⢀⣾⣿⣿⣿⢿⣿⢻⣿⢸⣿⡟⣿⡇⢻⣿⢸⣿⠈⣿⣧⣤⢸⣿⠸⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⢻⣿⣿⡇⠀⠀⠀⠀⣷⣦⣴⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⠘⣿⠸⠿⠈⠻⠷⠟⠃⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⡟⠀⠀⠀⠀⠀⠈⠛⠛⠇⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⢤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠈⠉⠹⣿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠛⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⢸⣿⠹⣿⡆⢼⡿⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠈⠙⠛⠻⠿⣿⣷⣷⣿⣿⣿⢀⣀⠀⠀⠀⠀⠄⠠⠀⣴⣴⣦⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠄⣀⠀⠀⢸⣿⠀⣬⣥⣿⣷⣽⣷⣸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⢀⠤⠀⠀⢀⣘⣿⣿⣿⣿⣿⠁⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣷⣦⣴⣦⣶⣤⣤ ⢛⠻⠿⣿⣿⣄⡀⣀⡀⠀⠀⠀⢠⠅⠀⠀⠈⢿⣧⣿⠟⣿⣿⣿⠿⠟⢿⠇⢻⢣⠀⠀⣠⣴⣦⣬⣭⣭⣀⣀⠀⠾⠙⠀⣸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡺⢿⣦⣔⠪⠁⠀⢿⡆⠠⠀⠀⡸⠆⡆⠀⠀⠀⠀⢸⠁⠉⠛⠋⠀⠀⠀⠀⠈⣸⡄⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣖⣯⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠩⠿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠈⠉⠒⠂⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠉⠉⠉⠉⠛⠛⠻⠿⢿⣿⣟⣿⣿⡏⢻⡟⢿⡿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⢹⣿⣿⣿⣿⣷⣦⡀⠀⠰⢄⣀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣶⣶⣶⣤⣤⣀⠁⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠷⣶⢿⣿⣿⣿⣿⣿⣻⣿⣿⣶⣶⡬⠝⠓⠔⠂⠒⠀⠀⠀⠀⠀⢀⣀⣀⡀⢀⣀⠈⠀⠀⠀⠀⠀⠠⠴⠨⡉⠉⠉⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿ ⣴⣶⢿⣿⣿⣿⣿⣿⡻⢿⣿⣿⣿⣿⣿⣷⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣷⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣦⠠⠤⠶⢦⣴⣷⣾⣿⣿⣿⣿⣿⣿⠿⣿⣷⣾⣿⣿⣿⣿⠿⠟⠋⠉⠀⠀ ⠿⠻⠻⠿⠿⠏⢹⣯⣿⣿⡿⣿⣻⣿⣿⣿⣿⣿⣍⣤⣦⣶⣶⣤⣤⠤⣀⡀⠀⠀⠉⠙⠿⠿⠿⢛⣛⣻⣿⡷⢤⣤⣤⣦⣤⣶⡶⠯⠿⣿⣿⣷⣶⣿⡛⠻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀ ⣀⣤⣦⣤⢄⡀⠈⠻⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⣦⡄⠀⠀⠀⠀⠀⠀⠀⠛⠻⠟⠿⠛⣿⣿⠩⢡⣭⣙⣱⣦⣼⣋⠀⣹⣿⠟⢾⢿⣿⡶⠖⠅⣫⠉⡫⠿⠟⠋⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡯⣤⡞⣉⢸⣷⡬⠄⠤⠿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠀⠀⠀⠀⡀⢀⣀⣠⣤⣤⣤⣄⣴⣷⣴⡿⣿⢿⣷⣿⣯⢴⣴⣿⣷⣶⡷⠾⢿⣏⠀⠈⠁⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠟⠛⠛⠛⠋⠉⠁⠀⠀⠈⣆⣀⣀⣀⣤⣤⣤⣤⣶⠶⠶⢶⣿⣛⣛⣛⣻⣿⣯⣭⣭⣷⣶⣶⣾⣿⣇⣻⣶⣶⣯⣭⣭⣭⣭⣭⣵⣶⠂⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡿⠿⠟⠛⣛⠛⠋⢉⣀⣀⣀⣠⣴⣤⣤⣴⣶⡶⠶⠰⣿⣦⣈⠻⣇⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⣶⣾⣿⣿⣿⣾⣿⣿⣿⣯⠉⠉⠉⠉⠀⠀⠀⠀⢸⢸⠉⢹⣿⣷⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠋⠀⣾⣿⣿⣿⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠸⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢉⡽⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡿⠿⢭⣭⣥⣾⣿⣿⣿⣧⣤⡄⢠⣴⣶⣤⠀⣶⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣬⣿⡾⠀⣻⡟⣿⣿⣿⣿⡇⠀⠀⠀⠀⣘⡿⠿⠿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡟⠁⣀⣾⣿⢻⣿⣿⣿⣿⣿⣿⡇⢸⣿⢸⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣏⡀⠀⠊⠛⠛⠛⣿⣿⣿⡇⠀⠀⠀⠀⣋⠓⠂⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡟⠀⣾⣿⣿⣿⢿⣿⢻⣿⢸⣿⡞⣿⡇⢻⣿⢸⣿⠀⣿⣧⣤⢸⣿⠸⣿⡏⣿⠿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⡀⢹⣿⣿⡇⠀⠀⠀⠀⣿⣶⣶⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣾⣿⣿⡿⢻⣿⠘⣿⠸⠿⠈⠻⠷⠟⠃⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⡟⠀⠀⠀⠀⠀⠈⠉⠉⠃⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⢤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠁⠸⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣯⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠉⠙⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⢸⣿⠹⣿⡆⢼⡿⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⣿⣿⣿⣿⣷⢀⣤⠀⠀⠀⢀⣤⢤⣢⣴⣶⣗⣄⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⢸⣿⠀⣤⣥⣿⣷⣽⣷⣸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⡀⠠⠠⠀⢀⣀⣠⣿⣿⣿⣿⣷⠁⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣶⣶⣶ ⢻⠻⠿⣿⣿⣄⠀⣀⡀⠀⠀⠀⢰⢉⠀⠀⠈⢿⣧⣿⠟⣿⣿⣿⠿⠟⢿⠃⢻⢣⠀⠀⣤⣴⣦⣤⣥⣤⣤⣄⡀⠾⠙⠀⣸⣿⣿⣟⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⢿⣦⣔⠭⠉⠁⢿⡶⠠⠀⠀⠸⡆⡆⠀⠀⠀⠀⢸⠁⠉⠛⠋⠀⠀⠀⠀⠀⣸⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣖⣧⣽⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠘⢿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠘⠉⠒⠂⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠈⠉⠉⠉⠙⠛⠛⠻⠿⢯⣟⡿⣿⡟⢹⡟⠻⡿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠹⣿⣿⣿⣿⣷⣦⡀⠀⠠⢄⣀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣷⣶⣶⣶⣤⡄⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⣶⣶⣾⣿⣿⣿⣿⣿⣻⣿⣿⣶⣶⡬⠝⠓⠔⠂⠒⠀⠀⠀⠀⠀⢠⣀⣀⣀⢀⣀⣀⠁⠀⠀⠀⠀⠀⠠⠤⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⡿⣿⣿⣿⣿⣿⡿⠿ ⣤⣶⣿⣿⣿⣿⣿⣿⡻⢿⣿⣿⣿⣿⣿⣷⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⡀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠶⠠⠖⠶⢶⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⡿⠟⠛⠉⠀⠀⠀ ⠿⠿⠿⠿⠿⠟⢻⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣍⣤⣦⣶⣶⣦⣤⠤⣀⡀⠀⠀⠉⠙⠿⠿⠛⣛⣻⣿⣿⡷⢠⣤⣤⣶⣶⣶⠾⠿⠿⣿⣿⣿⣾⣿⣛⢻⣻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀ ⣀⣤⣤⣤⢄⡀⠈⠻⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⣦⡄⠀⠀⠀⠀⠀⠀⠑⠛⠛⠛⠹⠍⠓⣟⠻⣮⣯⣭⣵⣶⣶⣗⡀⣾⣿⡛⠻⢿⣿⡷⠛⢒⣼⠉⠉⠟⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡯⣤⡜⣋⠸⣷⣬⠄⠤⠿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢠⣤⣠⣴⣶⣦⣤⣶⣿⣿⡾⢿⣃⣾⣿⣽⣿⣿⣿⣷⣷⡟⠔⣿⠇⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⠛⠛⠛⠋⠉⠉⠉⠉⠁⠀⠀⡀⣀⠀⢬⣧⡤⠴⢶⡶⣶⣾⣟⣛⣛⣻⣿⣭⣭⣽⣿⣷⣶⣾⣿⣿⣿⣿⣿⣯⣿⣇⣿⣿⣿⣷⣶⣶⣶⣶⣿⣿⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⠟⢛⣛⣉⣩⣬⣉⣠⣤⣤⣤⣶⣶⣶⠶⠾⠿⠿⠛⣛⢱⣿⣷⣤⡙⢆⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢻⢸⠁⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⡯⢀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠋⠁⢸⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣓⣘⡘⢿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠸⢿⣿⣿⡧⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠛⠒⣲⣾⣞⣿⣿⣿⣿⣤⡄⢠⣴⣶⣤⠀⣶⣾⣿⣧⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡾⠻⠃⢠⣿⣺⣿⣿⣿⣿⠀⠀⠀⠀⢠⣼⠏⠉⢱⠇⠠⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣡⣤⣼⣿⢻⣿⣿⣿⣿⣿⣿⣇⢸⣿⢸⣿⡇⣿⣿⣿⣿⢸⣿⡿⠿⢿⣿⢿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣦⠀⠀⠀⠀⠀⠹⣿⣿⣿⠄⠀⠀⠀⢸⣏⡉⢀⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡟⣁⣴⣿⣿⣿⢿⣿⢹⣿⢸⣿⡈⣿⡇⢻⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡆⣿⡟⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⢻⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⠘⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢸⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⣴⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⣻⣿⣟⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠈⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⢸⣿⠹⣿⣦⣾⣟⣿⡆⢸⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⣿⣿⣿⣿⣇⢴⠆⠀⠀⠀⣤⣤⣬⣼⣿⣿⣷⣶⣦⣤⣤⣄⣤⣤⣤⣀⡀⣀⢀⣀⡀ ⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⢸⣿⠀⣘⡶⣿⣿⣿⣷⢸⣿⡏⣿⡇⠀⠀⠀⠀⠀⠀⣤⡤⠤⠶⢒⠂⠂⡄⠀⣤⣤⣾⣿⣿⣿⣿⡇⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠬⣯⡙⠛⠿⣿⢤⢠⡄⠀⠀⠀⠀⡇⠄⠀⠘⢿⣧⣿⡿⢿⢿⣿⠿⠮⠟⠃⠛⠇⡆⠀⣲⣖⣿⣶⣶⣾⣷⣶⣦⣘⢃⠀⢰⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣃⣿⣿⣷⣬⡂⠀⠘⠛⠁⠂⠀⠀⠙⡘⠀⠀⠀⠀⠀⠅⠀⠀⠀⠀⠀⠀⠀⠀⠐⢼⣄⠻⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣾⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠚⠛⢻⣿⣿⣷⣦⣀⡀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⣉⣙⡛⠛⠺⠻⠻⠑⠚⠉⠛⠛⠿⠿⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣀⣀⠀⣀⣿⣿⣿⣿⣿⣿⣦⣀⣀⡑⠲⢆⣤⡀⢀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠿⠿⠿⢿⣿⡶⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⢛⢻⣿⣿⣿⣿⣿⣿⣷⣿⣿⢿⣿⣿⣗⡈⠙⠁⠈⠁⠀⠀⠀⠀⠀⠶⢶⣤⣤⣤⣤⣤⣤⣄⣀⣀⣀⡀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣯⣿⣿⣟⣿⣿⠿⠛⠋ ⣿⣿⣟⣿⣿⢿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⡶⠦⠠⠀⢀⠀⠀⠀⠀⠀⠈⠻⠿⢿⣿⣿⣿⣿⣿⣿⣧⣄⡀⠀⠀⠀⠀⠀⣀⣀⢄⣄⣀⣀⣈⣩⣛⣟⣻⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣯⣽⣿⡿⠟⠋⠁⠀⠀⠀⠀ ⠛⠋⠉⠙⠛⠉⠀⣷⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣴⣭⣯⣽⣿⣷⡒⡒⠦⠀⠀⠀⠀⠘⠉⠉⢩⣴⣶⡿⠿⢍⣿⡿⠟⢿⡿⣟⠉⠉⠻⠛⠛⣿⣿⣷⣤⣺⢻⡟⢿⢿⣿⣿⣿⣿⣿⡿⡾⠎⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣴⣿⣾⢶⣦⡄⣉⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠁⢸⣆⣼⣿⣶⣖⣿⣿⣪⣀⣶⣿⣯⣩⢻⣿⣿⠍⠉⠾⠆⢰⣌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠖⣠⣦⢠⣄⡽⡿⠀⠀⠀⢻⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠅⠀⠀⠀⢀⢲⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⡟⣛⢻⢿⣿⣷⣿⣿⣿⣿⣿⠟⠋⣿⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠉⠉⠉⠉⠈⠁⠀⣀⣀⣀⣀⢠⡄⠠⣼⡴⠒⢲⣶⣟⣛⣿⣿⣿⣭⣭⣿⣿⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠛⣛⣉⣭⣥⣤⣂⣤⣤⣴⣶⡶⠶⠿⠿⠿⠟⠛⠛⠋⡉⡿⣿⣷⣍⠹⣤⣬⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⣇⡆⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣀⣠⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠉⠁⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡿⠿⡿⢻⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠓⣴⣋⡙⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠺⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡟⠒⢲⣿⣟⣹⣿⣿⣿⣧⣤⡄⢠⣴⣶⣤⠀⣶⣿⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠾⠋⠀⣼⢿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠴⢿⣉⢉⡯⠀⡆⠀⠀⠀⠀⠀⠀⠀ ⣿⣯⣤⣤⣿⣿⢹⣿⣿⣿⣿⣿⣿⣇⢸⣿⣸⣿⡇⣿⣿⢿⣿⠿⣿⡿⠟⢿⣿⢻⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣷⣦⠀⠀⠀⠀⠀⢻⣿⣿⣿⠀⠀⠀⠀⣴⣉⣀⣸⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣯⣤⣾⣿⣿⣿⢿⣿⢹⣿⢸⣿⡈⣿⡇⢻⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡇⣿⡏⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⠀⠀⠀⠀⠀⠈⣿⣿⣧⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⠟⢹⣿⡘⣿⠸⠿⠈⠻⠷⠟⠃⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⣿⣿⣿⣿⡇⠀⡃⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⣴⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⣿⣿⣿⣿⣿⣻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢸⣿⠹⣿⡦⣾⣟⣿⡆⢸⣿⣼⣿⠂⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⣿⣿⣿⣿⣧⠶⠂⠀⠀⠀⣬⣬⣥⣿⣿⣿⣿⣶⣶⣶⣤⣀⣤⣤⣤⣤⡄⣀⣀⣀⣀ ⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⠰⠀⠀⢸⣿⠀⣨⣗⣿⣿⣿⣷⢺⣿⡏⣿⡇⠀⠀⠀⢀⡀⠠⠤⠴⠀⠐⡂⢈⠬⠁⢠⣤⣶⣾⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡬⣯⣉⢛⠿⢷⠄⢰⡦⠀⠀⠀⠘⡔⠀⠀⠘⢿⣧⣿⡏⣿⣿⣿⠿⠞⠟⠃⢻⠃⡆⢀⣶⣾⣿⣷⣿⣿⣷⣷⣦⣽⣂⡀⡾⢿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣁⣿⣿⣷⣌⣀⠀⠘⠓⠀⠂⠂⠀⠃⠼⠀⠀⠀⠀⠠⠅⠀⠀⠀⠀⠀⠀⠀⠀⠐⠷⠈⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠛⠛⢻⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣬⣉⣙⣛⠓⠛⠛⠿⠐⠃⠉⠛⠻⠿⠏⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣀⣀⢀⣠⣿⣿⣿⣿⣿⣿⣦⣄⣈⣑⠲⢦⣄⠀⣀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠻⠿⠿⠿⣿⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠝⣙⢻⣿⣿⣿⣿⣿⣿⣾⣿⣿⣷⣿⣿⣇⡀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠲⢶⣦⣤⣤⣤⣤⣤⣤⣤⣀⣈⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⡀⠀⣠⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣟⣿⡿⠟⠛⠋ ⣿⣿⣟⣿⣿⢿⣿⣿⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⡶⠦⠀⢀⣀⠀⠀⠀⠀⠀⠈⠻⠿⢿⣿⣿⣿⣿⣿⣿⣥⣄⡀⠀⠀⠀⠀⣀⣀⣤⣤⣠⣅⣌⣉⣭⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⠛⠋⠁⠀⠀⠀⠀ ⠋⠉⠉⠙⠛⠉⠈⣷⣿⣿⣽⣿⣽⣿⣿⣿⣿⣿⣿⣾⣭⣿⣿⣿⣟⠛⣒⠂⠀⠀⠀⠀⠈⠉⠉⢥⣶⣶⡿⠯⢭⢿⡿⠿⢿⢿⣏⡉⢉⡿⠛⢻⣿⣿⣧⣌⣿⣿⣻⣻⢻⣿⢿⣿⣿⣿⣿⡿⠓⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⢶⣿⣿⢷⣦⡄⣉⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣷⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠰⢳⣤⣽⣿⡶⣞⣿⣿⣧⣀⣰⣿⣏⡹⣻⣿⣿⠍⠘⠶⠦⢐⡌⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠒⣤⣦⢠⣤⡽⡿⠀⠀⠀⣻⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠀⠀⠀⠀⣈⢰⣶⣶⣿⣿⣿⣾⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⢉⢹⣵⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡿⠿⠏⠉⠉⠉⠀⠁⠀⠀⣀⣀⣀⣀⢠⣄⠀⢼⡶⠒⢲⣿⣛⣿⣿⣿⣯⣭⣿⣷⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢛⣋⣩⣥⣤⣶⣂⣤⣴⣶⡶⠾⠿⠿⠿⠛⠛⠛⠛⢉⡅⣾⢿⣷⣦⣹⣤⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⣇⡇⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⣀⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠉⠁⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠿⠿⠟⣻⣽⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠃⣴⣃⠙⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠻⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠟⠋⢩⣿⣟⣹⣿⣿⣿⣧⣤⡄⢠⣴⣶⣤⠀⣶⣿⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠺⠋⠀⣾⣯⣿⣿⣿⣿⣿⠀⠀⠀⠀⠴⢿⣉⢉⡯⠀⡆⠀⠀⠀⠀⠀⠀⠀ ⣿⣯⣤⣴⣿⣿⢹⣿⣿⣿⣿⣿⣿⣇⢸⣿⢸⣿⡆⣿⣿⢿⣿⠻⣿⡿⠟⢻⣿⢻⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣷⡆⠀⠀⠀⠀⠀⢻⣿⣿⡿⠀⠀⠀⠀⣴⣉⣀⣸⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣧⣤⣾⣿⣿⣿⢿⣿⢹⣷⢸⣿⡀⣿⡇⢻⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡇⣿⡏⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⠀⠀⠀⠀⠀⠈⣿⣿⣧⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⠟⢹⣿⡘⣿⠸⠿⠈⠻⠷⠟⠃⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⣿⣿⣿⣿⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⣴⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢸⣿⠹⣿⡦⣾⣟⣿⡆⢸⣿⣼⣿⠂⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⣿⣿⣿⣿⣧⠶⠀⠀⠀⢀⣬⣬⣥⣿⣿⣿⣿⣶⣶⣶⣤⣀⣤⣤⣤⣤⡄⣀⣀⣀⣀ ⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⢸⠰⠀⠀⢸⣿⠀⣨⣗⣿⣿⣿⣷⢺⣿⡏⣿⡇⠀⠀⠀⢀⡀⠀⠤⠤⠐⠒⠂⢘⠬⠁⢠⣴⣶⣾⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡌⣯⣉⠛⡻⠿⠄⢸⡦⢀⠀⠀⠘⡔⠀⠀⠈⢿⣧⣿⡏⡿⢿⣿⠿⠞⠟⠃⢻⠃⡀⢀⣶⣾⣿⣿⣿⣿⣷⣶⣦⣭⣂⣀⡾⢿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠑⣽⣿⣷⣎⣀⠀⠘⠓⠀⠂⠂⠀⠃⡼⢀⠀⠀⠀⠠⠅⠀⠀⠀⠀⠀⠀⠀⠀⠒⠷⠌⠿⠿⠿⠿⣿⣿⣿⣿⣿⡿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠙⠛⢻⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣬⣉⣙⣛⠓⠛⠛⠏⠐⠃⠉⠛⠛⠿⠏⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣀⣀⣀⣠⣿⣿⣿⣿⣿⣿⣦⣤⣈⣑⠲⢦⣆⠀⣀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠻⠿⠿⠿⣿⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠛⣙⢻⣿⣿⣿⣿⣿⣿⣾⣾⣿⣿⣿⣿⣇⡀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠲⢶⣶⣤⣤⣤⣤⣤⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⠀⢀⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣟⣿⡿⠟⠛⠋ ⣿⣿⣟⣿⣿⣿⣿⣿⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⡶⠆⠀⢀⣀⠀⠀⠀⠀⠀⠈⠻⠿⢿⣿⣿⣿⣿⣿⣿⣥⣄⡄⠀⠀⠀⠀⣀⣀⣤⣤⣤⣠⣍⣉⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⡯⢿⣿⡿⠟⠋⠁⠀⠀⠀⠀ ⠋⠉⠉⠙⠉⠉⠀⢿⣿⣿⣿⣿⣵⣿⣿⣿⣿⣿⣿⣾⣭⣿⣿⣿⣟⠛⣒⠂⠀⠀⠀⠀⠈⠉⠉⣵⣶⣶⡿⠯⣭⢿⠿⠟⣿⢿⢯⣉⠘⡿⠛⢻⣿⣾⣧⣬⣿⣛⣛⢿⢿⣿⢿⣿⣿⣿⣿⡿⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⢶⣿⣿⢷⣶⡤⣩⣉⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠀⠈⢿⣅⣾⣿⣶⣶⣿⣿⣴⢀⣼⣿⣥⣍⣿⣿⣿⠍⠠⠿⠆⢤⣌⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠒⣤⣦⢠⣄⡼⡽⠀⠀⠀⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠀⠀⠀⠀⡈⣰⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣟⣟⣿⣿⣿⣿⣿⣿⣿⣿⡟⠙⠻⡷⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠉⠉⠉⠉⠁⠁⠀⢀⣀⣀⡀⣠⣄⠀⢬⣧⠒⢒⣾⣟⣛⣿⣿⣿⣭⣽⣿⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⢧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⢛⣋⣩⣭⣤⣔⣠⣤⣴⣶⣶⠶⠾⠿⠟⠿⠛⠛⠛⡁⣹⢿⣿⣦⡉⣆⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣭⣿⣿⣿⣿⣿⣿⣿⡟⣿⢿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣓⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡗⢠⣤⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠉⠁⠀⢸⣿⣿⣿⡿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠿⠿⢟⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡃⢤⣎⡌⢻⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠘⢿⣿⣿⡏⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠓⠒⣾⣿⣋⣿⣿⣿⣿⣤⡄⢠⣴⣶⣤⠀⣶⣾⣿⣧⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠟⠟⠁⢴⠿⣼⣿⣿⣿⣿⠀⠀⠀⠀⢰⢾⣋⡉⣹⠃⢠⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣥⣤⣼⣿⢻⣿⣿⣿⣿⣿⣿⣇⢸⣿⢸⣿⡆⣿⣿⢿⣿⠼⣿⡿⠟⢿⣿⢻⣿⠿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣦⠀⠀⠀⠀⠀⠸⣿⣿⣿⠂⠀⠀⠀⢸⣆⣀⣠⣯⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣤⣴⣿⣿⣿⢿⣿⢹⣿⢸⣿⡈⣿⡇⢻⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡇⣿⡏⠻⢿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠈⠀⠻⠿⢿⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠘⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⡘⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠸⠿⢿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⣴⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⢿⣿⣿⣿⣿⣿⣿⣯⣿⡃⠀⠀⠀⠀⠀⠀⠀⢀⠈⣀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠹⣿⡦⣿⣿⣿⡆⢸⣿⣼⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢻⣿⣿⣿⣧⡼⠆⠀⠀⠀⣴⣯⣷⣾⣿⣿⣾⣶⣶⣶⣶⣆⣠⣤⣤⣤⣤⣤⣀⣀⣀ ⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⡤⠆⠀⢸⣿⠀⣈⣿⣿⣿⣿⣿⢸⣿⡏⣿⡇⠀⠀⠀⢀⣀⠀⠤⠤⠒⠒⠂⢀⡭⠅⠀⣴⣶⣶⣿⣿⣿⣿⡇⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡤⢻⣍⠛⡻⢿⠦⠀⣦⡀⠀⠀⠀⣇⠄⠀⠘⢿⣧⣿⣿⢿⢿⣿⠿⠮⠟⠃⠛⠃⡇⢀⣶⣾⣿⣷⣿⣿⣷⣿⣦⣬⣁⣀⣴⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡌⣩⣿⣿⣮⣁⡀⠀⠛⠀⠁⠀⠀⠝⡜⠅⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠐⠻⠄⠻⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠁⠚⠛⢻⣿⣿⣷⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣍⣉⣛⡛⠚⠛⠻⠁⠃⠀⠙⠙⠿⠿⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣄⣀⣀⣀⣽⣿⣿⣿⣿⣿⣷⣤⣀⣙⡲⠆⣤⡀⢀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠿⠿⠿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠾⢋⣻⣿⣿⣾⣿⣿⣿⣶⣿⣿⣷⣿⣿⣟⣀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠖⠶⣶⣤⣤⣤⣤⣤⣤⣤⣀⣀⡉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⠟⠛⠉ ⣾⣿⣿⣻⣿⡿⣿⣿⣯⣭⣿⣿⣿⣿⣿⣿⣿⣿⡷⠢⠀⠀⣀⡀⠀⠀⠀⠀⠈⠛⠿⠿⣿⣿⣿⣿⣿⣿⣧⣤⡄⠀⠀⢀⠀⣀⣀⣤⣄⣠⣄⣠⣍⣨⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⠟⠋⠁⠀⠀⠀⠀ ⠛⠉⠉⠙⠛⠉⠀⢿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣶⣭⣿⣿⣿⣿⠋⣒⠒⠀⠀⠀⠀⠈⠉⠉⢡⣶⣶⡾⠿⠍⣿⣿⠟⠿⠿⢏⣁⢁⢛⠛⢛⣿⣿⣿⣄⣚⣫⣟⣛⣻⠿⠿⢿⣿⣿⡿⠿⠊⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣴⣿⣾⠿⣶⡤⢈⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⡄⠀⠀⠀⠀⠀⠀⠀⠁⠀⡀⠀⠀⢘⣤⣽⣿⣶⣶⣿⣿⡗⢀⣬⣿⣧⣬⣽⣿⣿⠍⠉⠻⠦⠠⣤⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠖⣠⣶⢀⣤⠤⠿⠀⠀⠀⢹⣿⣿⣾⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⡯⠅⠀⠀⠀⢨⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⢿⡿⣿⣷⣿⣿⣿⣿⣿⡙⠉⣺⠂⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠉⠉⠉⠉⠁⠁⠀⢀⣀⣀⡀⣠⣄⠀⢬⣧⠒⢒⣾⣟⣛⣿⣿⣿⣭⣭⣿⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⢧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⢛⣋⣩⣭⣤⣔⣠⣤⣴⣶⡶⠶⠾⠿⠟⠿⠛⠛⠋⡁⣹⢿⣿⣦⡉⣆⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣭⣿⣿⣿⣿⣿⣿⣿⡟⣿⢿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣓⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡗⢠⣤⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠉⠁⠀⢸⣿⣿⣿⡿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠿⠿⢟⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡛⢤⣎⡌⢻⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠘⢿⣿⣿⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠓⠒⣾⣿⣋⣿⣿⣿⣿⣤⡄⢠⣴⣶⣤⠀⣶⣾⣿⣧⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠟⠟⠁⢰⠿⣽⣿⣿⣿⣿⠀⠀⠀⠀⢰⢾⣋⡉⣱⠃⢰⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣥⣤⣼⣿⢻⣿⣿⣿⣿⣿⣿⣇⢸⣿⢸⣿⡆⣿⣿⢿⣿⠸⣿⡿⠟⢿⣿⢻⣿⠿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣦⠀⠀⠀⠀⠀⠸⣿⣿⣿⠂⠀⠀⠀⢰⣆⣀⣠⣯⠀⠸⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣤⣴⣿⣿⣿⢿⣿⢹⣿⢸⣿⡈⣿⡇⢻⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡇⣿⡏⠻⢿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠘⠀⢻⠿⢿⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠸⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⡘⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠸⠿⢿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⣴⣶⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⢿⣿⣿⣿⣿⣿⣿⣯⣿⡃⠀⠀⠀⠀⠀⠀⠀⢀⠀⣀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠹⣿⡦⣿⣿⣿⡆⢸⣿⣼⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢻⣿⣿⣿⣧⡼⠆⠀⠀⠀⣴⣧⣷⣾⣿⣿⣾⣶⣶⣶⣶⣆⣠⣤⣤⣤⣤⣤⣀⣀⣀ ⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⡤⠆⠀⢸⣿⠀⣈⣿⣿⣿⣿⣿⢸⣿⡏⣿⡇⠀⠀⠀⢀⣀⠀⠤⠄⠂⠒⠂⢀⡭⠅⠀⣴⣶⣶⣿⣿⣿⣿⡇⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡤⢻⣍⠛⡻⢿⠦⠀⣦⡀⠀⠀⠀⣇⠄⠀⠘⢿⣧⣿⣿⢿⢿⣿⠿⠮⠟⠃⠛⠃⡇⢀⣶⣾⣿⣷⣿⣿⣿⣷⣦⣬⣁⣀⣴⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡍⣩⣿⣿⣮⣁⡀⠀⠛⠀⠁⠀⠀⠝⡜⠅⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠐⠻⠄⠻⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠁⠚⠛⢻⣿⣿⣷⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣍⣉⣛⡓⠚⠛⠻⠁⠃⠀⠙⠙⠿⠛⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣀⣀⣀⣀⣽⣿⣿⣿⣿⣿⣷⣤⣀⣙⡲⠆⣤⡀⢀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠿⠿⠿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠨⠋⡻⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣿⣟⣀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠖⠶⣶⣤⣤⣤⣤⣤⣤⣤⣀⣀⡈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢀⠀⠀⠀⢀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⡿⠟⠛⠉ ⣾⣿⣿⣻⣿⣿⣿⣿⣯⣭⣿⣿⣿⣿⣿⣿⣿⣿⡷⠲⠀⠀⣀⡀⠀⠀⠀⠀⠈⠛⠿⠿⣿⣿⣿⣿⣿⣿⣧⣤⡄⠀⠀⢀⠀⢀⣀⣄⣠⣠⣄⣠⣉⣩⣭⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀ ⠛⠉⠉⠙⠛⠉⠀⢿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣷⣭⣿⣿⣿⣿⠋⣓⠒⠀⠀⠀⠀⠈⠉⠉⢡⣶⣶⡾⢿⣭⢿⡿⠟⠿⡿⢛⢉⡉⣹⠛⢛⣿⣿⣷⣄⣘⣫⣟⠻⠻⠿⠿⢿⣿⣿⡿⠾⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⢴⣿⣿⠿⣶⣤⢈⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠈⠉⢽⣤⣸⣿⣶⣶⣿⣿⡷⢀⣠⣿⣧⣄⣹⣿⣿⠏⠈⠮⠆⠰⣎⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠖⣠⣶⢀⣤⡤⠿⠀⠀⠀⢩⣿⣿⣾⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⡯⠅⠀⠀⠀⢠⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⡿⣿⣿⣿⣿⣿⣿⢟⠋⠙⣸⡂⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⠯⠿⠋⠉⠉⠁⠀⠀⠀⢀⣀⣀⣀⢀⣤⡀⠠⣷⡖⠒⣺⣟⣿⣿⣿⣭⣭⣽⣿⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠟⣛⣉⣭⣥⣤⣶⣡⣴⣶⣶⡶⠿⠿⠿⠟⠛⠛⠛⠋⢩⢨⡿⢿⣷⣌⢣⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣸⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡖⠀⣤⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠉⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡿⠿⠿⠟⣯⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⢸⣿⡂⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⠩⣬⡅⠻⣿⢿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢻⣿⣿⣿⣘⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠏⠉⣹⣿⣋⣿⣿⣿⣿⣧⡄⢠⣴⣶⣤⠀⣶⡾⣿⣧⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠟⠛⠁⠰⠿⠯⣿⣿⣿⣿⡇⠀⠀⠀⠀⣶⣋⡀⣹⠐⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣧⣦⣾⣿⢻⣿⣿⣿⣿⣿⣿⣇⢸⣿⢸⣿⡆⣿⣿⢿⣿⠸⣿⡿⠟⢻⣿⢻⣿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⡄⠀⠀⠀⠀⠈⣿⣿⣿⠇⠀⠀⠀⢀⣧⣄⣠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣤⣴⣿⣿⣿⢿⣿⢹⣿⢸⣿⡀⣿⡇⢿⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡇⣿⡇⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⡇⠀⠀⠀⠀⠀⠸⠿⠿⠅⠀⠀⠀⢸⣿⣿⣿⣿⠀⠐⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⡘⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠸⠿⠿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢠⣤⣤⠀⣤⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⠿⢿⣽⣿⣿⣽⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢸⣿⠹⣿⡶⣿⣿⣿⡆⢸⣿⣼⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠻⣿⣿⣿⣿⡼⠏⠀⠀⠀⣰⣾⣶⣾⣿⣿⣿⣷⣶⣶⣶⣦⣴⣦⣶⣤⣄⣠⣄⣄⣀ ⠿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⡇⠆⠀⢸⣿⠀⣀⣿⣿⣿⣿⣿⢹⣿⣯⣿⡇⠀⠀⠀⠀⣀⠀⠐⢒⠒⠒⠠⢀⡁⠄⠀⣶⣶⣿⣿⣿⣿⣿⡇⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⣹⣦⣉⢝⡻⠓⠀⣷⠀⡀⠀⠀⢳⢃⡀⠘⢿⣧⣿⢿⣿⠿⠿⠿⠞⠟⠃⠛⠇⢀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣷⣬⣡⣀⣸⠻⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡶⢵⣿⣿⣷⣤⡀⠀⠉⠀⠀⠀⠀⠊⠠⠇⣀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠈⠸⠦⠝⠛⠿⠛⠿⠿⣿⣿⣿⣿⢿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⡄⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠉⠉⠉⠙⣿⣿⣿⣷⣤⣤⡀⠀⠀⣀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣬⣍⣉⣛⠙⠙⠀⠙⠀⠉⠉⠛⠛⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢤⣤⣀⣤⣾⣿⣿⣿⣿⣿⣿⣦⣤⣬⣙⣫⠶⢄⡠⠠⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠿⠿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢛⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠒⣉⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣄⣈⠀⠀⠀⠀⠀⠀⠀⠀⠛⠻⢷⣶⣶⣶⣶⢶⣤⣤⣤⣤⡄⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣀⣀⡀⡀⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣭⣽⣿⣯⣿⣽⣿⡿⠟⠛⠉ ⣿⣿⣿⣽⣿⣟⠿⣿⢷⣾⣿⣿⣿⣟⣿⣿⣿⣿⣟⠓⣐⣀⣀⣀⡀⠀⠀⠀⠀⠙⠛⠿⢿⣿⣿⣿⣿⣿⣷⣦⣄⢀⡀⣀⣀⣀⣠⣤⡀⣦⣦⣠⣭⣤⣭⣻⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⢟⠚⣿⠿⠛⠉⠀⠀⠀⠀⠀ ⠉⠀⢀⣈⡉⠁⠀⢻⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣶⣿⣾⣿⣿⡉⠉⠑⠀⠀⠀⠀⠈⠁⠀⣰⣶⡿⡟⢻⡶⢿⠿⠛⢹⠿⠿⣅⣀⠽⠋⢙⣿⣿⣷⣶⣭⣭⣍⠛⠛⠻⠟⢿⣿⣿⠿⠿⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠶⢾⣿⠿⠿⣿⣦⡠⢤⣸⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⣀⣃⣤⣼⣿⣿⣿⣿⣿⣿⣠⣶⣿⣧⣤⣿⣿⣿⠯⠀⠛⠃⠠⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠋⣤⣾⠀⢤⡄⠹⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠂⠀⠀⠀⠐⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣛⢿⡿⢿⣿⣿⣿⣿⣿⠿⡀⠩⠸⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡿⠿⠿⡿⠋⠉⠈⡀⠀⢀⣀⣀⣀⣄⣤⣤⣀⣶⣀⠲⢿⡏⠉⣿⣿⣯⣽⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣛⣉⣭⣥⣶⣶⣾⣥⣶⣶⣾⣿⠿⠛⠛⠛⠛⠋⠉⠉⢰⢰⠻⢿⣷⣄⣑⣶⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⡿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣼⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⣶⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠀⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⢛⣻⣿⣿⣿⣿⣿⣿⣿⡏⠁⠀⠀⠀⣿⣿⣿⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡿⠿⢟⣛⣋⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣐⣾⡶⠙⣿⣻⣿⣿⣿⣿⡇⠀⠀⠀⠀⠹⣿⠿⣿⠬⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡿⠉⢉⣽⣿⣋⣿⣿⣿⣿⣧⡄⢠⣴⣶⣤⠀⣶⡾⣿⣧⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠋⠉⠀⠔⠟⠗⠿⣿⣿⣿⡇⠀⠀⠀⠀⡿⠧⠄⣼⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣷⣶⣾⣿⢹⣿⣿⣿⣿⣿⣿⡇⢸⣿⢸⣿⡆⣿⡿⢻⣿⠸⣿⡿⠏⢻⣿⢻⣯⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⢿⣿⣿⡇⠀⠀⠀⠀⣿⣦⣴⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣴⣾⣿⣿⣿⢿⣿⢹⣷⢸⣿⡀⣿⡇⢿⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡇⣿⡇⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⡇⠀⠀⠀⠀⠀⠘⠛⠛⠆⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡟⢹⣿⡘⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⣀⣀⣀⠀⣠⣤⣤⠀⣤⣶⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⠾⢿⣷⣾⣿⣿⣾⣧⠀⣀⠀⠀⠀⠀⠀⠀⠀⣤⣴⣆⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⡄⠀⠀⢸⣿⠹⣿⣖⣿⡿⣿⣆⣸⣿⣼⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢙⢿⣿⣿⣿⣾⠋⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣷⣮⣤⣦⣶⣶ ⠻⢿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠇⡋⠀⢸⣿⠀⣀⣼⣿⣿⣿⣷⢸⣿⣿⣿⡧⢀⠀⢀⣀⣤⣄⣀⣀⣉⣁⣰⠀⣤⠢⢀⣻⣿⣿⢿⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠾⣹⣷⣄⡩⢛⠛⠀⣿⡄⢄⠀⠀⢸⠀⡄⠘⢿⣧⣿⢿⡿⠿⠿⠿⠎⠛⠃⠛⠃⢸⡀⢲⣿⣾⣿⣿⣿⣿⣿⣿⣶⣶⣦⡜⣍⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡟⢻⣾⣿⣿⣦⣤⡀⠀⠁⠀⠀⠀⠈⠐⠃⠤⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠊⠙⠛⠉⠙⠛⠿⠿⢿⣿⣿⣟⣿⣿⡟⣻⠿⢿⣿⣿⣿⠇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠂⠀⠈⠉⢿⣿⣿⣿⣶⣦⣄⠀⠀⢠⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⣶⣶⣤⣭⣁⡈⠁⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠶⣶⣤⣤⣾⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣕⡺⠦⠤⠂⠖⠂⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣉⠉⠉⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣽⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣭⣥⣬⣿⣿⣿⣿⣿⣿⢿⣿⣿⣯⣿⣿⣷⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠈⠉⠻⢿⣿⣿⣿⣿⣷⣶⣶⣶⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠄⢤⣤⣤⣴⣼⣿⣿⣿⣿⣿⣿⠿⣿⣿⣾⣿⣿⣿⣿⠾⠛⠋⠀⠀ ⣿⣿⢿⠾⣿⣿⠟⢻⣻⣿⡿⣿⡿⢯⣿⣿⣿⣿⣿⡉⡁⢥⡤⣤⣤⣀⣀⣀⠀⠀⠉⠋⠛⡿⠿⠿⠟⣛⣻⣿⡦⢤⣤⣤⣤⣤⣶⡶⠟⢶⣿⣶⣷⣲⣦⠒⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠫⠭⡿⠛⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⣄⣀⣀⡀⠘⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣐⣨⡁⠀⠀⠀⠀⠀⠀⠨⠛⠟⠛⠙⠋⣩⣟⣣⣤⣜⣉⣣⣤⣴⡉⣀⣸⡿⠿⢿⣾⣶⡶⠏⢉⣊⢛⠛⠻⠟⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡾⣻⣟⡻⠻⠿⣿⣔⡒⢾⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⣷⣷⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⠾⢻⠿⡏⠀⠈⠁⠀⠑⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢠⠾⠂⠠⢄⣌⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣉⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡞⣟⣿⣻⣿⣿⣿⣿⣿⡢⡒⠙⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠿⠿⠛⢛⡛⠋⠉⣁⣀⣀⣤⣤⣤⣤⣤⣶⣶⠶⠆⢾⣷⣤⡙⢿⠀⢰⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣭⣤⣶⣾⣿⣿⣿⣷⣿⣿⣿⣿⡍⠉⠉⠉⠀⠀⠀⠀⠀⡇⡟⠉⣿⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣏⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣷⡇⠨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠉⠭⢻⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⡇⡄⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡛⠭⣭⣭⢼⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⢷⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣽⡿⠃⢸⣯⢿⣿⣿⣿⣿⠀⠀⠀⠀⢀⣻⠟⠻⡇⠂⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡿⠁⢀⣼⣿⣋⣾⣿⣿⣿⣿⡄⢠⣴⣶⣤⠀⣶⡶⣿⣿⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣏⡀⠀⠐⠉⠉⠙⢿⣿⣿⣿⠀⠀⠀⠀⢈⠛⠒⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⡇⢸⣿⠸⣿⡇⣿⡏⢻⣿⠘⣿⡷⠆⢹⣿⢻⣯⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠘⣿⣿⡇⠀⠀⠀⠀⣼⣿⣶⣿⡇⠀⡄⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⢿⣿⢹⣿⢸⣿⡀⣿⡇⢿⣿⢸⣿⠀⣿⣧⣤⢸⣿⠈⣿⡇⣿⡇⠿⠿⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⠀⠀⠀⠀⠀⠀⠉⠉⠋⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠃⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⠟⢹⣿⡘⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣯⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠉⠉⠉⠉⠁⠀⠁⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⣠⣤⣤⠀⣴⣶⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠻⠿⢿⣿⣿⣿⣷⡄⣠⡄⠀⠀⠀⣀⣀⣂⣴⣶⣟⣤⣀⣀⣀⣀⣀⡀⣀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢠⣀⠀⢸⣿⠹⣿⣦⣿⣿⣿⡆⢼⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⢀⣀⣀⣿⣿⣿⣿⣿⠉⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣷⣾⣶ ⣉⢻⡿⠿⣿⣿⣇⠀⢠⡀⠀⠀⠀⢸⢈⠀⢸⣿⠀⣀⣬⣿⣿⣿⣷⢸⣿⡿⣿⣷⠀⠀⠀⣤⣴⣦⣤⣤⣤⣤⣄⡁⠶⠉⠀⣸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢛⣰⢿⣶⣔⡪⠉⠁⢸⡗⠠⠀⠀⠸⡆⢦⠘⢿⣧⣿⢟⡿⠿⠹⠿⠎⠛⠃⠛⠛⣀⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣧⣽⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠏⠉⢿⣿⣿⣷⣶⣄⠀⠀⠀⠀⠀⠀⠘⠉⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠈⠉⠉⠉⠉⠛⠛⠛⠿⠯⣟⡿⣿⡏⠹⠟⠻⠿⢿⣿⡇⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠁⠁⠀⠀⠻⣿⣿⣿⣿⣷⣦⡀⠀⠰⢄⣤⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣷⣶⣶⣶⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣛⡻⢶⣶⣾⣿⣿⣿⣿⣟⣻⣿⣿⣷⣶⡮⠝⠓⠔⠂⠒⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠠⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣕⣵⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠿ ⣤⣴⣶⢿⡿⣿⣿⣿⣿⡻⢿⣿⣿⣿⣿⣿⣷⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠢⠤⣴⣤⣵⣿⣿⣿⣿⣿⣿⣛⣿⣿⣛⣿⣿⣿⡿⠛⠋⠁⠀⠀ ⠿⠟⠻⠻⠿⠿⠏⢻⣿⣿⣿⣿⣿⣻⣿⣻⣿⣿⣿⣄⣤⣤⣶⣶⣦⡤⠤⣄⡀⠀⠀⠉⠙⠿⠟⠛⣛⣻⣿⣿⡗⢠⣤⣴⢶⣶⣶⡟⠋⠲⡿⠿⣿⣶⣯⡁⠘⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣟⣦⠟⠋⠀⠀⠀⠀⠀⠀⠀ ⢀⣀⣤⣦⣤⣄⡀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⣤⡄⠀⠀⠀⠀⠀⠀⠐⠛⠛⠉⠀⠑⢊⣙⢁⣴⣮⣭⣴⣶⣶⡀⢀⣰⣿⡛⢻⣿⣷⣾⠒⢰⣬⢉⣉⠙⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣛⠽⣿⡛⠏⢛⣿⡮⠍⠷⠿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⣤⣤⣤⣶⣶⣦⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣮⣾⣿⣿⣿⣿⠿⡿⡇⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠞⠀⠀⠀⣌⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣟⣿⣿⣿⣿⣿⣤⡀⠀⠀⠀⣪⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣮⣻⣿⣿⣿⣿⣿⣿⣿⢗⠗⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠿⠿⠛⣛⣋⡹⢙⣉⣀⣀⣠⣤⣤⣴⣶⣶⡶⠶⠾⠇⢻⣿⣦⡉⠻⡅⢐⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡍⠉⠉⠀⠀⠀⠀⠀⠀⣇⡇⠉⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣼⣿⣿⣟⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠁⢸⣿⣿⣿⣗⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠍⠩⠻⣿⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⢸⣿⣿⣿⡏⡆⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡿⠯⠭⣵⣦⢼⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣽⣿⠃⢨⣿⢽⣿⣿⣿⣿⠀⠀⠀⠀⢀⣸⡟⠻⠃⡇⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣁⣀⣼⣿⣃⣾⣿⣿⣿⣿⡄⢠⣴⣶⣤⠀⣶⡶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣩⡁⠀⠀⠈⠉⠙⢻⣿⣿⣿⠀⠀⠀⠀⢸⡛⠒⢐⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⡇⢸⣿⠸⣿⡇⣿⡏⢹⣿⠘⣿⡷⠆⢹⣿⢻⣯⠈⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠈⣿⣿⣿⠀⠀⠀⠀⢸⣿⣷⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⢿⣿⢹⣿⢸⣿⡀⣿⡇⢻⣿⢸⣿⠀⣿⣧⣤⢸⣿⠈⣿⡇⣿⡇⠻⠿⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⠀⠀⠀⠀⠀⠀⠈⠉⠙⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⠟⢸⣿⡘⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⣿⣿⣿⣿⡿⢿⣿⡟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⣠⣤⣤⠀⣴⣶⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⣿⣿⣿⣿⡆⣠⡄⠀⠀⠀⣀⣀⣂⣰⣶⣿⣤⣀⣀⣀⢀⢀⣀⣀⡀⠀⠀⠀⠀⠀ ⢿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⠀⠀⢰⢀⠀⢸⣿⠹⣿⡶⣿⣿⣿⡆⢼⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠠⢄⠀⢀⣀⣀⣝⣿⣿⣿⣿⡎⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣾⣷ ⣨⡹⣟⠻⠿⣿⣧⡀⢠⡀⠀⠀⠀⢸⣠⠀⢸⣿⠀⣀⡄⣿⣿⣿⣿⣸⣿⡿⣿⣏⠂⡄⠀⣤⡴⣶⣤⣤⣦⣤⣄⡄⢰⠎⠃⣬⣿⣿⣯⣿⣿⣿⣿⡀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣙⠲⣻⣷⣤⡂⠁⠁⠸⠏⠐⠀⠀⠀⠇⢰⠘⢿⣧⡿⢇⡿⠿⠹⠿⠎⠛⠃⠛⠋⠄⣇⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣱⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠛⠩⠿⠿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠉⠐⠂⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠁⠈⠉⠉⠛⠛⠽⠿⠿⣿⠿⣿⠩⠟⠻⠟⢿⣿⡟⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡁⠀⠀⠀⢘⣿⣿⣿⣿⣿⣶⣄⠀⠐⠦⣤⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢿⣿⣿⣶⣶⣦⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣛⡿⠷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⠍⠛⠖⠁⠘⠉⠀⠀⠀⠀⠀⣤⣤⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠠⠄⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣷⣶⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠿ ⣶⣶⣾⠾⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⡀⡀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠂⠒⠶⣤⣮⣶⣿⣿⣿⣿⣿⣿⣛⣿⣿⣛⣻⣿⣿⠿⠛⠋⠁⠀⠀ ⠿⠿⠛⠛⠿⠿⠊⢹⣯⣿⣿⣿⣿⣻⣾⣿⣿⣿⣿⣦⣠⣢⣖⣲⣶⡦⠤⢤⡀⠀⠀⠈⠈⠛⠛⠛⣛⣫⣽⣿⣟⢂⣶⣶⢶⢶⣶⡿⠛⠐⢿⠿⢿⣿⣮⣑⢨⠻⠿⠿⢿⣿⣿⣿⣿⣿⣿⣯⡄⠈⠋⠁⠀⠀⠀⠀⠀⠀ ⢀⣀⣤⣦⣤⣤⣄⠈⠛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣆⠀⠀⠀⠀⠀⠀⠀⠛⠛⠋⠀⠁⠀⣫⠃⣴⣶⣬⣽⣶⣶⣇⠀⡸⣿⡛⡛⣿⣿⣿⠋⡚⣮⡉⣉⠙⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢯⠽⣯⡝⠭⠛⣿⡶⠍⠻⠿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⣤⣤⣤⣶⣶⣦⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⠿⠿⡇⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⠀⠀⠀⣤⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣟⣿⣿⣿⣿⣿⣦⡄⠀⠀⠀⢪⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⠟⡐⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⠿⠟⢛⣋⣉⣡⣜⣁⣤⣤⣤⣴⣶⣶⣷⠶⠶⠿⠿⠛⡃⣻⣿⣶⣌⠙⣆⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⢹⣿⣷⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⣧⡏⠀⣽⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⡛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠁⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡿⠿⣻⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠍⡽⠹⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⢸⣿⣿⣿⡏⡇⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡿⠓⢒⣶⣶⢺⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⡭⡿⠃⢨⣿⣹⣿⣿⣿⣿⠀⠀⠀⠀⢀⣸⡛⠛⢣⡃⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣟⣄⣠⣾⣟⣁⣿⣿⣿⣿⣿⡄⢠⣤⣶⣤⠀⣶⡶⣾⣿⢿⣿⡿⠿⣿⣿⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣩⣄⠀⠀⠈⠉⠉⢻⣿⣿⣿⠀⠀⠀⠀⢸⡖⠒⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⡇⢸⣿⠸⣿⡇⣿⡇⢹⣿⠘⣿⡷⠆⢹⣿⢻⣯⠀⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢿⣿⣿⠀⠀⠀⠀⢸⣿⣷⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⢸⣿⢸⣿⡀⣿⡇⢻⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡆⣿⡇⠻⠿⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⠁⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⠋⢸⣿⡘⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢟⣿⣿⣿⣿⣿⣿⢿⢿⡟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⣠⣤⣤⠀⣴⣶⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠻⠿⣿⣿⣿⣿⣆⣠⡄⠀⠀⠀⣀⣀⣂⣲⣶⣿⣴⣤⣄⣀⢀⠀⣀⣀⣀⠀⠀⠀⠀⠀ ⣻⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⢸⢠⠀⢸⣿⠙⣿⡖⣾⣿⣿⡆⢺⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⢐⡂⢀⣀⣤⣽⣿⣿⣿⣿⡎⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣾⣶ ⣤⠙⣏⠛⠻⢿⡷⡀⢰⣄⠀⠀⠀⠸⡴⠀⢸⣿⠀⣀⡀⣿⣿⣿⣿⣸⣿⡿⣿⣯⠀⡆⠀⣤⣼⣷⣦⣴⣶⣤⣤⣆⣸⠁⠀⣬⣿⣿⣯⣿⣿⣿⣿⡀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣭⣜⣻⣿⣦⣕⠀⠀⠘⠧⠈⠀⠀⠀⠇⣸⠘⢿⣧⣿⠧⡿⠿⠹⠿⠎⠛⠃⠛⠋⠠⣧⡘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣵⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣃⠀⠛⠿⢿⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣙⠛⠻⠿⠯⠿⠿⠷⠹⠏⠙⠟⢿⣿⡟⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣀⣀⠀⠀⣈⣿⣿⣿⣿⣿⣷⣄⣀⡐⠢⢤⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⢿⣿⣿⣷⣶⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠭⠿⠻⢿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣗⡊⠉⠊⠁⠈⠁⠀⠀⠀⠀⠀⠤⣤⣤⣠⣄⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣯⣧⣶⣾⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⡿⠿ ⣾⣿⣿⣻⣟⣿⣿⣿⣿⣝⣻⣿⣿⣿⢿⣿⣿⣿⣶⣦⠄⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡐⠒⣀⣲⡶⢿⣾⣿⣿⣿⣿⣿⣿⣛⣿⣿⣟⣿⣿⡿⠿⠛⠉⠁⠀⠀ ⠛⠛⠉⠉⠛⠛⠁⢸⣿⣿⣿⣿⣿⣭⣿⣿⣿⣿⣿⣷⣴⣶⣾⣿⣷⡶⠒⠤⠄⠀⠀⠀⠈⠙⠛⠛⣩⣭⣭⣿⣟⢃⣶⣶⠶⢶⣾⠟⠓⠘⠿⠿⢿⣷⣦⣁⡉⠿⠟⠿⢿⢿⣿⣿⣿⣿⣿⣧⡀⠘⠊⠀⠀⠀⠀⠀⠀⠀ ⣠⣤⣴⣷⣶⣶⣤⢀⣙⢫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣿⣦⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠐⠀⠩⢬⢄⢰⣷⣦⣴⣿⣿⢃⢀⡸⣿⣉⣙⣿⣷⣷⠋⠌⡦⠀⣈⡙⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠯⢚⣿⡏⠥⢩⢿⠗⠂⠙⠛⣿⣿⣷⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⡛⠀⠀⠀⠀⠀⣰⣦⣴⣾⣿⣶⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⠻⠿⢇⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠀⠀⠀⠤⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢯⣿⣿⣿⣽⣿⣦⣆⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢛⣛⣩⣭⣤⣤⣶⣠⣤⣴⣶⡶⠶⠾⠿⠿⠛⠛⠛⠛⠋⡍⡽⣿⣷⣌⠹⢄⣼⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡃⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣟⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠐⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡿⠿⢟⠛⣻⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢏⢅⡼⠻⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⡇⡄⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡿⠋⠉⣽⣿⠏⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣧⢿⡿⠁⣸⣿⣻⣿⣿⣿⣿⠀⠀⠀⠀⢀⣿⠛⠛⣝⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣷⣶⣾⣿⢁⣼⣿⣿⣿⣿⣧⡄⢠⣴⣶⣤⣀⣶⡶⣿⣿⢼⣿⡿⠟⣿⣿⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣯⡀⠀⠀⠉⠈⠉⢻⣿⣿⣿⠀⠀⠀⠀⢠⠓⠂⢰⡇⠀⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣯⣿⣿⡇⢸⣿⠸⣿⡇⣿⡇⢸⣿⠘⣿⡷⠆⢹⣿⢻⣯⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠘⣿⣿⡇⠀⠀⠀⠀⣿⣿⣷⣿⡇⠀⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⢿⣿⢹⣿⢸⣿⡀⣿⡇⢿⣿⢸⣿⠀⣿⣧⣤⢸⣿⠘⣿⡆⣿⡇⠿⠿⠈⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠁⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡏⠀⢸⣿⡘⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⣿⣿⣟⣿⣿⣿⣿⣿⣳⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⡀⠁⠀⠀⣀⣀⣀⠀⣤⣤⣤⠀⢴⣶⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠿⣿⣿⣿⣷⣀⣴⠀⠀⠀⢀⣔⣲⣥⣾⣿⣯⣦⣤⣤⣄⡀⠀⣀⣀⣀⢀⠀⠀⠀⠀ ⠿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⡇⠖⠀⢸⣿⠹⣿⣿⣿⣿⣿⡇⢹⣿⣼⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠤⠀⡐⢒⣲⠀⢠⣤⣴⣿⣿⣿⣿⣿⠁⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿ ⣶⣹⣦⣉⢙⡻⠗⠀⣷⠀⡀⠀⠀⢸⠁⡀⢸⣿⠀⣀⣼⣿⣿⣿⣿⢸⣿⡟⣿⡟⢸⠀⣰⣶⣾⣷⣶⣾⣶⣶⣶⣄⡟⡈⢠⠾⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡾⢽⣿⣿⣷⣤⣀⠀⠉⠀⠀⠀⠀⠘⠠⠇⣘⣿⣧⣿⠟⡿⠿⠹⠿⠎⠛⠃⠛⠃⠚⠧⠘⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣧⣷⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠉⠉⠙⢿⣿⣿⣷⣤⣤⡀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣍⣉⣛⡛⠓⠟⠛⠇⠚⠉⠙⠛⠿⠿⠁⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢦⣤⣤⣤⣾⣿⣿⣿⣿⣿⣿⣦⣤⣬⣙⡫⢴⣄⣀⠀⡀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢛⠿⠿⠿⢿⣷⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣐⣉⣍⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣯⣄⣈⠀⠀⠀⠀⠀⠀⠀⠀⠐⠲⢶⣦⣶⣶⣦⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛ ⣿⣿⣿⣽⣿⣿⠿⣿⢷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⠓⢂⣀⣀⣀⡀⠀⠀⠀⠀⠙⠛⠿⢿⣿⣿⣿⣿⣿⣿⣤⣄⠀⠀⢀⠀⢀⣀⣠⣀⣤⣬⣠⣉⣉⣽⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⢽⣿⣿⠿⠛⠉⠀⠀⠀⠀ ⠀⠀⣀⣀⣁⠀⠀⢙⣿⣿⣿⣷⣷⣿⣿⣿⣿⣿⣿⣷⣷⣿⣿⣿⣿⡍⢉⣓⠂⠀⠀⠀⠀⠉⠁⣰⣶⣶⣿⠛⠍⣿⣿⠟⠻⠿⢛⣉⣉⣹⠟⠛⣿⣿⣯⣬⣛⣻⣛⢿⡿⠿⢿⣿⣿⣿⢿⡽⠃⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⣿⣿⠿⠿⢿⣶⣂⢦⣾⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠁⣀⣓⣎⣼⣿⣿⣶⣿⣿⣿⣇⣰⣾⣯⣠⣩⣿⣿⠟⠀⠞⠂⢠⣌⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⢴⡿⠘⠳⢜⡛⢁⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠂⠀⠀⠀⠐⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣉⡉⠭⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⠀⠀⠀⠀⠀⠀⢀⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠚⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣉⣭⣤⣶⣶⣶⣮⣴⣶⣶⣿⣿⠛⠛⠛⠛⠛⠛⠉⠉⢩⢠⠻⢿⣷⣤⣙⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣻⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⡅⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣯⠇⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠉⠀⢸⣿⣿⣿⡇⠠⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡿⠟⣛⣛⣉⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠫⣢⣚⡙⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠸⣿⣿⣿⡇⠆⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡟⠉⢀⣾⡿⢣⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠻⠟⠁⣼⢷⣿⣿⣿⣿⣿⠀⠀⠀⠀⢠⡾⠋⠛⡮⠀⡀⠀⠀⠀⠀⠀⠀ ⣿⣿⣶⣶⣿⡟⢀⣿⣿⣿⣿⣿⣧⡄⢠⣴⣶⣤⠰⣶⡶⣿⣿⢸⣿⠟⠛⣿⣿⢻⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣶⡄⠀⠈⠀⠀⠀⢻⣿⣿⡿⠀⠀⠀⠀⣸⣉⠉⣸⡇⠀⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣧⣿⣿⡇⢸⣿⠸⣿⡆⣿⡇⢸⣿⠘⣿⡷⠆⢹⣿⢻⣯⠘⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣷⠀⠀⠀⠀⠀⠈⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⠟⢹⣿⢿⣿⢹⣿⢸⣿⡀⣿⡇⢿⣿⢸⣿⠀⣿⣧⣤⢸⣿⠈⣿⡇⣿⡇⠻⠿⠀⠙⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠏⠀⢸⣿⡘⣿⠸⠿⠈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣽⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⣀⣀⣀⣀⣮⣤⣤⠀⣴⣶⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠉⠉⠛⣿⣿⣿⣿⣤⡶⠂⠀⠀⢠⣭⣬⣤⣿⣿⣷⣷⣶⣤⣤⣄⣀⣤⣤⣄⡀⢀⡀⣀⠀ ⠛⣿⢿⣿⣿⣿⡀⠀⡀⠀⠀⠀⠀⠇⡃⠀⢸⣿⠹⣿⣿⣿⣿⣿⣇⢹⣿⣼⣿⢄⠀⠀⠀⠀⢀⡀⠀⠒⠒⠒⠒⠄⣨⢭⠀⢰⣶⣶⣾⣿⣿⣿⣿⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠣⣸⣶⣄⡩⢛⠉⠀⣿⠀⠄⠀⠀⢸⠀⡄⢸⣿⠀⣀⣼⣿⣿⣿⣿⢸⣿⡟⣿⡏⢸⡀⢬⣿⣽⣿⣿⣿⣿⣿⣾⣦⣍⣀⡰⡟⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠟⣺⣿⣿⣿⣦⣤⡀⠀⠁⠀⠀⠀⠈⠐⠃⠼⣿⣧⣿⠟⡿⠿⠹⠿⠎⠛⠃⠛⠃⠙⠓⠘⠛⠛⠛⠻⠿⢿⣿⣿⣿⣿⡿⣷⣿⡿⢿⣿⣿⣿⣿⣿⡆⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⢿⣿⣿⣿⣶⣦⣄⠀⠀⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣭⣉⣙⡋⠋⠃⠉⠀⠈⠉⠻⠛⠁⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠶⡶⣦⣴⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣕⡺⢇⠠⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠹⠛⠛⠛⠻⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣬⣤⣤⣿⣿⣿⣿⣿⡿⢿⣿⣿⣯⣿⣿⣷⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣷⣿⣷⣶⣶⣶⣶⣶⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⢀⣠⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿⣿⣿⡿⠛⠛⠉ ⡿⠿⠿⠺⡿⠯⠟⢿⣻⡿⡿⣿⡿⢿⣿⣿⣿⣿⣿⡉⡉⣅⡤⣤⣄⣀⣀⡀⠀⠈⠉⠛⠻⣿⣿⠿⠿⠿⣿⣶⣦⣀⣀⣀⣄⣠⣤⣴⣴⣦⣶⣤⣦⣴⣮⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⠿⠛⠁⠀⠀⠀⠀⠀ ⢀⣀⣠⣤⣤⣀⡀⠈⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣨⡁⠀⠀⠀⠀⠀⠀⠴⠿⠿⠿⡻⡶⣾⣿⣿⣿⣿⠿⣧⣤⣬⠉⠉⣿⣿⢿⣶⣿⣿⣿⣿⣿⡿⠿⢿⣿⡿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣛⡻⣿⡛⣛⢻⣿⡵⠓⠾⢿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠷⠀⠀⠀⠀⢀⣀⣀⣀⣤⣤⣀⣠⣽⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣷⣾⣿⣿⠟⠈⠛⠃⠳⡶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠚⠟⠃⠙⠻⣍⠠⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⠀⠀⠀⠠⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡉⠭⠇⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠄⣀⠀⠀⠀⠀⠀⠀⢴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣶⣶⣿⣿⣿⣷⣾⣿⣿⣿⡟⠋⠉⠉⠉⠉⠁⠀⠀⢰⢰⠙⣻⣿⣦⣭⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣽⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣴⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠃⢠⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠉⠀⠀⢸⣿⣿⣿⡇⠐⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣛⣋⣩⣭⡥⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡑⢵⣭⡌⢻⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠘⣿⣿⣿⣇⠃⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠏⠀⣠⣿⠟⣱⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⠙⠋⢀⠾⠿⠻⣿⣿⣿⣿⠀⠀⠀⠀⢰⣿⣉⢉⡇⠀⡀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠋⢠⣿⣿⣿⡿⣿⣧⡄⢠⣴⢶⣦⠐⣶⡶⣿⣏⢸⣿⠟⠋⣿⣿⢻⣿⢹⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⡆⠀⠀⠀⠀⠀⢹⣿⣿⡟⠀⠀⠀⠀⣴⣄⣀⣼⡇⠀⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⡇⢸⣿⠸⣿⡆⣿⡇⢸⣿⠘⣿⡷⠆⢹⣿⢻⣯⠈⣿⣿⣿⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⠀⠀⠀⠀⠀⠀⠿⠿⠇⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⠏⢸⣿⢿⣿⢹⣿⢸⣿⡀⣿⡇⢿⣿⢸⣿⠀⣿⣧⣤⢸⣿⠈⣿⡆⣿⠇⠻⠿⠀⠈⠛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠿⠿⠿⠿⠇⠀⠇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠇⠀⢸⣿⡸⣿⠸⠿⡈⠻⠷⠟⠁⠘⠛⠛⠉⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠘⠻⠿⢿⣿⣿⣯⣭⣽⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⣀⣀⣀⣄⣢⣤⣤⣀⣴⣶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠈⠹⢿⣿⣿⣿⣶⠿⠃⠀⠀⢠⣶⣶⣶⣿⣿⣷⣿⣶⣶⣶⣶⣤⣤⣤⣤⣤⣀⣄⣀⣀ ⣙⢻⠿⢿⣿⣿⣄⠀⣀⠀⠀⠀⠀⢣⠩⠀⢸⣿⠹⣿⣾⣿⣿⣿⣦⢸⣿⣼⣿⢢⢀⠀⠀⣀⣠⣄⣐⣂⣉⠉⠉⠈⣼⠒⠀⢰⣾⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣛⣼⢿⣦⣔⠉⠉⠁⢿⡄⠂⠀⠀⢸⡆⡄⢸⣿⠀⣀⣼⣿⣿⣿⣿⢸⣿⡍⣿⡏⠸⡀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⡤⣟⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠏⠹⢿⣿⣿⣷⣶⣀⠀⠀⠀⠀⠀⠈⠘⠁⠘⢿⣧⣿⠟⡿⠿⠹⠿⠎⠛⠃⠛⠃⠈⠓⠊⠙⠛⠛⠛⠻⠿⠿⢿⣿⣿⡿⣿⣿⡿⢿⡿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠁⠀⠀⠀⠻⣿⣿⣿⣿⣷⣦⡀⠀⠠⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣶⣦⣤⣬⣍⣉⠉⠃⠈⠁⠈⠁⠙⠛⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣋⡿⢶⣶⣾⣿⣿⣿⣿⣟⣻⣿⣿⣶⣶⡭⠝⠓⠴⠂⠒⠂⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣉⠙⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣦⣶⣶⢿⣿⣿⣿⣿⣿⡻⢿⣿⣿⣿⣿⣿⣶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠈⠉⠛⢿⣿⣿⣿⣿⣷⣶⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢤⣀⣀⣶⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿⣿⣽⠿⠛⠋⠉ ⠿⠿⠛⠛⠿⠿⠟⢻⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣥⡡⢦⣴⣶⣤⣤⣄⣀⡀⠀⠉⠉⠛⠿⠿⠿⠿⣛⣿⣿⡦⢄⣤⣤⣤⣤⣤⣶⣶⣷⣿⣶⣶⣶⣶⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⠟⠋⠉⠀⠀⠀⠀⠀ ⢀⣀⣤⣦⣤⣤⣄⠈⠛⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣔⣶⡄⠀⠀⠀⠀⠀⠀⠨⠿⠿⠟⠝⣿⣿⣿⣿⣿⣟⣛⣷⣦⣾⡋⢨⣿⣿⠿⣿⣾⣿⣿⣿⣿⣟⠛⠻⣿⠿⠿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢯⠭⣿⡝⣭⣛⣿⡾⠍⠻⠿⣿⣿⣯⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠀⠀⠀⠀⢀⣀⣄⣠⣴⣶⣤⣤⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠉⠋⠙⠷⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠐⠛⠁⠉⠛⣦⡀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣭⡄⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⡚⢱⣿⣿⣷⣤⡄⠀⠉⠀⠀⠀⠀⠊⠠⠇⣸⣿⡀⣀⣆⣿⣧⣽⣷⢸⣿⡌⣿⡇⠺⠦⠙⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣷⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠉⠩⢿⣿⣿⣷⣶⣤⡀⠀⠀⣀⠀⠀⠘⢿⣧⣿⠇⠿⠿⠹⠿⠎⠛⠃⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⣠⣍⣉⣛⡛⠚⠛⠻⠁⠚⠉⠛⠛⠿⠿⠁⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢶⣦⣤⣤⣾⣿⣿⣿⣿⡿⣿⣶⣤⣬⣙⣫⠶⢄⡀⠀⡀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠻⠿⠿⠿⣿⣶⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣍⣡⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣄⣈⠀⠀⠀⠀⠀⠀⠀⠀⠒⠲⢶⣦⣶⣶⣤⣤⣤⣤⣄⣀⡀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⢀⣀⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡻⣿⣿⣿⣿⡿⣿⣿⡿⠿⠟ ⣿⣿⡿⣿⣿⣿⠿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣟⡓⢂⣀⣀⣀⡁⠀⠀⠀⠀⠙⠻⠿⣿⣿⣿⣿⣿⣿⣧⣤⡀⠀⠀⢀⠀⣀⣀⣀⣤⣤⣄⣥⣈⣉⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠁⠀⠀⠀ ⠀⠀⣀⣀⣁⠀⠀⢻⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣶⣿⣶⣿⣿⠉⠙⠓⠂⠀⠀⠀⠈⠉⠉⣰⣶⣶⣾⣿⣭⣿⣿⣿⣿⣿⣿⣍⢉⠻⠟⠿⣿⣿⣯⣭⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⡽⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⣿⡿⠿⠿⢿⣦⣀⢤⣽⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⢀⣁⣉⠉⠙⣻⣿⣿⣿⣷⣾⣿⣿⣯⣠⣼⣿⣯⣽⣿⣿⣿⡟⠿⠿⢦⣤⣉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⢶⡿⠘⠻⣜⠛⡉⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠂⠀⠀⠀⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⠄⠀⠈⠓⠀⠀⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣺⣿⣿⣿⣿⣿⣿⣿⣤⡀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠭⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠉⠁⠀⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣼⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠅⢀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠋⠉⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣛⣛⣉⣉⣷⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡇⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠃⢠⣞⡝⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠸⢿⣿⣿⡇⠇⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠟⠀⢠⣾⡿⢡⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠻⠟⠁⣰⢿⢿⣿⣿⣿⣿⠀⠀⠀⠀⢠⣼⠉⠙⡇⠁⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣾⣿⣿⠟⢀⣿⣿⣿⣿⠿⠇⠀⠀⠀⠀⠀⠠⠀⠀⠛⠛⠚⠛⠛⠛⢛⣛⣛⡛⢛⣻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣶⡄⠀⠀⠀⠀⠀⢻⣿⣿⡿⠀⠀⠀⠀⣨⡉⠉⣸⡇⠀⡆⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣯⣶⣾⣿⣿⣛⡁⣠⣤⡄⢠⣴⢶⣤⠐⣶⡶⣶⣆⢸⣿⠟⠃⣿⣿⢻⣷⢸⣿⣧⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠈⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡟⢿⣿⣧⣿⣿⡇⢸⣿⢸⣿⡆⣿⡇⢸⣿⠘⣿⡷⠆⢹⣿⢻⣧⠈⣿⣿⣿⡇⠈⠛⠟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠇⠀⠁⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠃⠀⢸⣿⢿⣿⢹⣿⢸⣿⡈⣿⡇⢻⣿⣸⣿⠀⣿⣧⣤⢸⣿⠸⣿⡆⣿⡇⠿⠿⠀⠀⠀⠈⠙⠽⢿⣿⣿⣿⣿⣛⣛⣻⣹⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⡀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⡘⣿⠸⡿⠈⠻⠷⠟⠁⠘⡻⠛⠉⡀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⢻⣿⣿⣿⣷⣠⣶⠂⠀⠀⢠⣤⣦⣴⣿⣿⣯⣦⣤⣤⣄⣀⢀⣀⣀⣀⣀⠀⠀⠀⠀ ⠻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⡇⠂⠀⠀⣀⣀⣀⢹⣣⣤⣯⡉⢴⣶⣶⣦⣀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⣤⣤⣶⣽⣿⣿⣿⡟⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿ ⠗⣸⣦⣈⠝⡛⠓⠀⣷⠀⠀⠀⠀⢷⢃⡀⢸⣿⠹⣿⣿⣿⣿⣿⡇⢸⣿⣼⣿⡇⢨⠀⣰⣶⣿⣷⣾⣿⣷⣶⣶⣤⣗⡀⢰⠾⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡚⢱⣿⣿⣷⣤⡄⠀⠉⠀⠀⠀⠀⠊⠠⠇⢸⣿⡀⣀⣦⣿⣧⣽⣷⢸⣿⡌⣿⡇⠺⠦⠙⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣷⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠉⠩⢿⣿⣿⣷⣶⣤⡀⠀⠀⣀⠀⠀⠘⢿⣧⣿⠇⠿⠿⠹⠿⠎⠛⠃⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⣠⣍⣉⣛⡛⠺⠛⠻⠁⠚⠉⠛⠛⠿⠿⠁⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢶⣦⣤⣤⣾⣿⣿⣿⣿⡿⣿⣶⣤⣬⣙⣫⠶⢄⡀⠀⡀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠻⠿⠿⠿⣿⣶⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣍⣡⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣄⣉⠀⠀⠀⠀⠀⠀⠀⠀⠒⠲⢶⣦⣶⣶⣤⣤⣤⣤⣄⣀⡀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡛⣿⣿⣻⣿⣿⣿⣿⡿⠿⠟ ⣿⣿⡿⣿⣿⣿⠿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣟⠓⢐⣀⣀⣀⡀⠀⠀⠀⠀⠙⠻⠿⣿⣿⣿⣿⣿⣿⣧⣤⡀⠀⠀⢀⠀⣀⣀⣀⣠⣄⣤⣥⣈⣉⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠁⠀⠀⠀ ⠀⠀⣀⣀⣁⠀⠀⢻⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣷⣿⣷⣿⣿⠉⠙⠒⠂⠀⠀⠀⠈⠉⠉⣰⣶⣶⣾⢿⣭⣿⣿⣿⣿⣿⣿⣉⡋⣻⠟⢿⣿⣿⣿⣽⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⣿⣿⠿⠿⢿⣦⣠⢤⣾⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⢀⣀⣉⠉⢛⣻⣿⣿⣿⣷⣾⣿⣿⣯⣄⣾⣿⣭⣽⣿⣿⣿⠟⠿⠿⢆⣠⡈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⢴⡿⠘⠳⣜⡋⡉⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠂⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⠄⠀⠈⠁⠀⠀⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺⣿⣿⣿⣿⣿⣿⣿⣄⡀⠠⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠉⠁⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣸⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⢠⣶⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡛⣻⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⣾⣿⣿⣿⢇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡿⠿⠭⣭⣤⢴⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡉⣲⣶⠊⢿⡿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠙⣿⣿⣿⢨⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡿⠁⢀⣼⡿⠋⣼⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠟⠙⠁⠀⠾⠷⢿⣿⣿⣿⡇⠀⠀⠀⠀⡒⣳⠀⣠⠛⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡿⠁⣸⣿⣿⣿⠟⠛⠀⠀⠀⠀⠀⠀⠒⠂⠈⠉⠉⠉⠉⠉⠉⣉⣉⣉⡉⢉⣹⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡆⠀⠀⠀⠀⠀⢻⣿⣿⡇⠀⠀⠀⠀⣿⣤⣠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣟⣁⡀⣠⣤⡄⢠⣤⢶⣤⠀⣶⡶⣶⣆⢸⣿⡟⠃⣿⣿⢻⣷⢸⣿⣧⣿⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⡇⠀⠀⠀⠀⠀⠘⠿⠿⠅⠀⠀⠀⢰⣿⣿⣿⣿⠀⢰⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡇⢿⣿⣧⣿⣿⡇⢸⣿⢸⣿⡆⣿⡇⢸⣿⠘⣿⡷⠆⢹⣿⢻⣧⠈⣿⣿⣿⡇⠀⠉⠉⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠸⠿⠿⠿⠿⠀⠸⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡟⠀⠀⢸⣿⢿⣿⢹⣿⢸⣿⡄⣿⡇⢻⣿⣸⣿⠀⣿⣧⣤⢸⣿⣸⣿⡇⣿⡇⠿⠿⠀⠀⠀⠀⠁⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⣀⢀⣄⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⠘⡿⢸⠿⠀⠻⠷⠟⠁⢸⣛⡛⠛⣀⢉⠉⠉⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠉⠽⣿⣿⣿⣷⡖⠟⠀⠀⠀⣴⣶⣶⣾⣿⣿⣿⣿⣷⣶⣶⣦⣶⣶⣶⣤⣄⣤⣀⣀⣀ ⠻⡿⠿⣿⣿⣇⠀⢀⠀⠀⠀⠀⠘⣈⠁⠀⠀⣀⣀⣀⡏⣣⣾⣶⡄⣼⣶⣶⣶⡄⡀⠀⢀⣀⣤⣀⣐⣂⡀⠀⠀⢠⡖⠂⠀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣧⢿⣶⣔⠩⠙⠁⢸⡇⠀⠀⠀⠀⡇⢠⠀⢸⣿⠹⣿⡇⣿⡿⣿⡇⢹⣿⣼⣿⠁⣇⠀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣤⢾⣻⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢑⣿⣿⣿⣷⣶⣄⠀⠀⠀⠀⠀⠈⠁⠚⠠⢸⣿⡄⣈⡇⣿⣧⣽⣷⢸⣿⡌⣿⡇⠙⠒⠉⠛⠛⠛⠻⠿⠿⣿⣿⣿⡿⢿⣿⣿⠿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠚⣿⣿⣿⣿⣶⣦⡀⠀⠠⣄⣀⡀⠘⢿⣧⣿⠇⠿⠿⠹⠿⠎⠛⠃⠛⠃⠀⠀⠀⠀⠀⠀⠀⢀⣶⣦⣤⣭⣍⣉⠉⠉⠈⠁⠀⠉⠙⠛⠃⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⣶⣶⣾⣿⣿⣿⣿⣿⣻⣿⣷⣶⣦⣭⡒⢗⡤⠄⠠⠐⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣉⢍⠛⠛⠛⠻⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣥⣴⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⣿⣿⣷⣶⣶⣶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⣤⣀⣤⣤⣤⣦⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿⣿⣿⡿⠟⠋⠉⠁ ⠿⠿⠷⣿⠿⠝⢻⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣍⣉⢥⣤⢤⣤⣄⣀⣀⠀⠀⠉⠛⠻⣿⣿⠿⠿⢿⣿⣷⣶⣄⣀⣠⣤⣤⣤⣶⣶⣾⣿⣿⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀ ⠀⣠⣤⣤⣄⡀⠈⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⣬⣍⠀⠀⠀⠀⠀⠀⠢⡿⢿⢿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣮⣽⣿⡝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡿⣿⣿⡿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⡻⠿⣿⣿⣄⠀⣀⡀⢸⣿⡸⣿⢹⠿⠀⠻⠷⠟⠁⡟⢻⣿⣿⡀⠙⢯⣍⠀⡄⡀⠀⠀⢀⣀⠀⠐⣒⠒⠂⠠⢀⡭⡄⠀⣶⣶⣿⣿⣿⣿⣿⡇⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶ ⣿⣦⣔⠩⠉⠃⢿⡶⠢⠀⠀⠸⡎⢤⠀⠀⠀⣀⣀⣇⠈⢻⣿⣦⠀⣼⣶⢶⣦⣇⠠⣿⣿⣿⣿⣿⣿⣿⣿⣷⣬⣡⣀⣼⢻⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣷⣶⣀⠀⠀⠀⠀⠀⠈⠀⠚⠤⠄⢼⣿⢹⣿⡆⢸⡟⣿⡄⢸⣿⣼⣿⠛⠂⠙⠛⠛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠻⣿⣿⣿⣿⣶⣦⡀⠀⠠⣄⣀⡀⠀⢸⣿⡃⣠⡄⣸⣧⣿⣷⢸⣿⡞⣿⡇⠀⠀⠀⠀⠀⠀⢀⣤⣤⣭⣉⣙⡛⠙⠛⠁⠃⠈⠛⠹⠿⠏⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⣶⣾⣿⣿⣿⣿⣟⣻⣿⣷⣶⣦⣭⡾⠷⡸⢿⣧⣿⠇⠿⠿⠹⠿⠆⠛⠃⠛⠃⠀⠀⠀⠀⠀⠀⠈⢹⣟⠛⠻⠿⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣶⣤⣄⣀⠀⠀⠀⠀⢀⠀⠈⠉⠛⢿⣾⣷⣶⣶⣶⣶⣦⣤⣤⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣀⣀⣀⣠⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠋ ⠿⠻⡿⠿⠟⢻⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣏⢉⣥⣤⣤⣤⣀⣀⡀⠀⠀⠉⠛⠻⢿⣿⣿⡿⠿⠿⣷⣦⡆⣀⣠⣄⣀⣤⣤⣶⣶⣿⣿⣯⣭⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠉⠀⠀⠀⠀⠀ ⣤⣦⣤⣄⡀⠈⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣀⣭⣍⠀⠀⠀⠀⠀⠀⠔⣾⣿⣿⣿⣿⣾⣿⣿⣿⣿⡿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡟⣛⢻⣿⣵⡟⠾⢿⢿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠀⢀⠀⠀⣀⣂⣁⣤⣤⣌⣉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⠿⠿⠿⢶⣾⣍⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⠃⠙⠿⣍⠡⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡁⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡠⣄⠀⠀⠈⠁⠀⠀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿⣦⠄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣌⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠭⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢹⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠻⠿⢿⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣻⠟⠻⡛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡿⠿⠿⠛⣫⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡛⣻⣿⣿⣿⣿⣿⣿⣿⡟⠉⠁⠀⠀⣿⣿⣿⣿⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⠉⠉⣽⣿⠏⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡄⣗⣶⠛⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢿⣿⣿⣿⡑⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣥⣤⣾⡿⠃⣼⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢀⣀⣿⣿⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠃⠙⠃⠀⠿⠿⣿⣿⣿⣿⡇⠀⠀⠀⠠⠾⣏⠉⣹⠅⢰⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣡⣴⣿⣿⡿⠛⠉⠁⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⠀⠀⠀⠀⠀⠘⣿⣿⣿⠃⠀⠀⠀⢰⣎⣉⣠⣟⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⢀⣠⠈⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡆⠀⠀⠀⠀⠀⠻⠿⢿⠀⠀⠀⠀⢸⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡟⠁⢀⡀⣀⣀⡀⣠⣤⡄⢀⣤⢶⣤⠀⣶⡶⣶⣦⢸⣿⡟⠃⣿⣿⢻⣷⢸⣿⣧⣿⡇⠛⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠈⣿⠸⡇⢿⣿⣧⣿⣿⡇⢸⣿⠸⣿⡇⣿⣇⢺⣿⠸⣿⡷⠆⢻⣿⢻⣯⠘⣿⣿⣿⣗⠀⠀⠀⠉⠛⠻⠿⣿⣿⣿⣿⣭⣧⣇⡀⠀⠀⠀⠀⠀⠀⠀⢀⢉⣀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠂⠀⠀⠀⢸⣿⢿⣿⣽⣷⢸⣿⡀⣿⣇⣿⣿⣸⣿⠄⣿⣧⣤⢸⣿⡸⣿⡇⣿⡇⠿⠿⠀⠀⠀⠀⠀⢀⡀⠀⠀⠉⢿⣿⣿⣿⣧⠾⠏⠀⠀⠀⣾⣿⣶⣿⣿⣿⣿⣶⣶⣤⣤⣀⣤⣤⣤⣀⢀⡀⠀⠀⠀⠀ ⣍⠛⠿⢿⣦⠀⣦⡄⢸⣿⡸⣿⢸⠿⠀⠻⠷⠟⢹⡟⣿⣿⣿⠀⠉⢿⡯⢐⠀⠀⠀⣀⣠⣄⣀⣀⣤⣉⣁⡂⣠⡒⠂⢰⣾⣿⡷⣿⣿⣿⣿⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣷⣮⣁⠀⠁⠻⠄⠑⠀⠀⢸⢆⡆⠀⠀⠀⣀⣸⣃⠁⢹⣯⣤⠀⣴⣶⢾⣦⡆⢰⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣟⣻⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠛⠿⣿⣿⣿⣦⣀⡀⠀⠀⠀⠀⠈⠀⠂⠀⢺⣿⢹⣿⡆⢸⡟⣿⡄⢸⣿⣼⣿⠋⠀⠉⠉⠉⠙⠛⠻⠿⢿⣿⣿⡿⣿⣿⣿⢿⡿⣿⣿⣿⣿⡧⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣀⣀⣻⣿⣿⣿⣿⣿⣷⣀⣀⠐⠦⣤⣄⡀⢸⣿⡀⣀⡄⣼⣧⣿⣷⢸⣿⡟⣿⡇⠀⠀⠀⠀⠀⠀⣰⣶⣶⣤⣬⣭⣉⡉⠃⠈⠁⠈⠁⠙⠛⠃⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⠫⠡⠚⢿⣯⣿⠇⠿⠿⠹⢿⣎⣛⣃⢛⡋⠀⠀⠀⠀⠀⠠⠀⢭⣍⠉⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣻⣿⡿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⣄⣤⣤⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠋⠉ ⠉⠙⠛⠛⠁⢻⣿⣿⣿⣟⣿⣽⣿⣿⣿⣿⣿⣮⣜⣶⣖⣶⣶⡤⢤⣄⡀⠀⠈⠉⠙⠿⠿⠿⣟⣛⣻⣿⡶⢥⣥⣤⣤⣤⣴⣶⣿⣿⣿⣿⣶⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠉⠀⠀⠀⠀⠀⠀ ⣾⣿⣶⣶⣄⢘⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣼⣶⣄⠀⠀⠀⠀⠀⢐⠻⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⡿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣷⣭⣦⣹⣿⠗⠒⠛⢻⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠄⠀⣌⣬⣤⣤⣶⣶⣤⣤⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠙⠛⠛⠻⡷⠍⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠋⠀⠌⠻⢦⠐⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣤⡄⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠚⢇⠀⠀⠀⠀⠀⣰⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠟⢃⠉⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠁⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠠⠀⠀⠀⠀⠀⠁⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⠛⠛⠿⣧⡛⣛⣻⣿⣿⣿⡿⢿⠟⢛⠟⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣟⣛⣛⣋⣵⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡍⠿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⣿⣿⣿⣿⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⡟⠀⢀⣾⣿⢃⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡆⣯⣷⠉⢻⣿⣿⣿⣿⣿⠇⠀⠀⠀⠈⢻⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣶⣿⡟⠀⣾⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⢀⣀⠄⠿⠿⠤⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⠁⠈⠁⠀⠛⠻⢿⣿⣿⣿⡀⠀⠀⠀⢐⣞⣆⠀⣸⠂⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣶⣾⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠈⣿⣿⣿⠁⠀⠀⠀⢸⣧⣄⣰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⢀⣤⠀⣭⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⠆⠀⠀⠀⠀⠀⠹⠿⠿⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠏⠀⢀⡀⣀⣀⡀⣠⣤⡄⢀⣤⢶⣤⠀⣶⡶⣶⣆⢸⣿⡟⠃⣿⣿⢻⣷⢸⣿⣇⣿⡇⠛⠘⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠾⠿⠿⠿⠇⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠈⣿⠸⡗⢿⣿⣧⣿⣿⡇⢸⣿⠸⣿⡇⣿⣇⣻⣿⢸⣿⡷⠆⢻⣿⢿⣿⠘⣿⣿⣿⣧⠀⠀⠀⠈⠉⠛⠻⠿⢿⣿⣾⣿⣷⣇⡄⢀⣀⠀⠀⠀⢀⢀⡀⣠⣤⣤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠁⠀⠀⠀⢸⣿⢿⣿⢿⣷⢸⣿⡀⣿⣧⢿⣿⣸⣿⠆⣿⣧⣤⢸⣿⡸⣿⡇⣿⡇⠿⠿⠀⢀⠀⡀⢀⠀⠄⠀⠀⢀⡻⣿⣿⣿⣷⠸⠋⠀⠀⢀⣶⣶⣶⣿⣿⣿⣿⣿⣶⣶⣶⣤⣤⣤⣤⣤⡄⡀⣀⣀⡀⠀ ⣦⡉⢛⠻⠷⠀⣷⠄⣸⣿⡼⣿⠸⡿⠈⠻⠷⠟⢹⡟⣿⣿⣿⠀⠉⠿⠏⢨⠀⠀⠀⣤⣴⣦⣤⣤⣤⣤⣄⡂⠴⠙⠁⣸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣷⣌⣀⠀⠛⠂⠀⠀⠀⠼⢠⡇⠀⠀⠀⣀⣼⣁⠀⢩⣥⣤⠀⣴⣶⢾⣦⣆⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣯⣹⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠙⠛⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠉⠀⢼⣿⢹⣿⡆⢸⡟⣿⡄⢸⣿⣼⣿⠋⠉⠀⠉⠉⠉⠙⠛⠻⠿⢿⣿⣟⣿⣿⡿⢻⡿⢿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣀⣀⣽⣿⣿⣿⣿⣿⣷⣤⣄⣉⡲⢶⣤⡀⢸⣿⡀⣀⡄⣸⣷⣿⣷⢸⣿⡟⣿⡇⠀⠀⠀⠀⠀⠀⢼⣿⣷⣶⣶⣤⣅⣀⠁⠀⠀⠀⠀⠙⠛⠁⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣝⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣟⣈⠘⠘⢿⣯⣿⠇⠿⠿⠹⠿⢯⣿⣇⣛⣃⣀⣀⡀⠀⠀⠀⠠⠶⠎⠉⠉⠙⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣶⢦⠄⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⡀⠀⠀⠀⠀⠀⠀⢀⣀⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠉⠁ ⢁⡈⠉⠉⠁⢹⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣦⣾⣷⣿⣿⣶⠶⠲⠤⠄⠀⠀⠁⠙⠿⠛⢛⣛⣻⣿⣿⠷⣤⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠋⠁⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣷⣦⣬⣍⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣦⠀⠀⠀⠀⠀⢈⡙⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠴⢶⣼⠿⠛⠈⠉⢹⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠒⢀⣤⣼⣤⣴⣶⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠙⠛⠛⠻⡷⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⡀⠀⠙⠳⠌⠀⠀⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠙⠣⠀⠀⠀⠀⢀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⢟⣋⣁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠉⠷⠐⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⡉⠛⠻⠶⢍⣛⣿⡿⣿⣿⠿⣿⠟⣿⢟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣟⡛⠭⣭⣥⢼⣿⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢩⡩⢿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡟⠁⢀⣼⡿⢋⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⢸⣿⠃⢙⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠹⣿⣿⣿⢺⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡟⠁⣼⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠠⠤⠤⠘⠛⠃⠛⠛⠛⠛⠛⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣁⠀⠁⠐⠛⠛⠻⣿⣿⣿⡇⠀⠀⠀⠀⢟⣧⠄⣴⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣾⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⢿⣿⣿⠇⠀⠀⠀⢠⣿⣤⣤⣿⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⢀⣤⠀⣬⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⠇⠀⠀⠀⠀⠀⠘⠛⠻⠂⠀⠀⠀⢸⣿⣿⣿⣿⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡏⠀⢀⡀⣀⣀⡀⣠⣤⡄⢀⣤⢶⣤⠀⣶⡶⣶⣆⢸⣿⡟⠃⣿⣿⢻⣷⢸⣿⣧⣿⡇⠛⠘⠻⢻⣿⣿⣿⣿⣿⣿⣿⣿⡿⡍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠀⠀⠀⠸⠿⠿⠿⠯⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡏⣿⠸⡇⢿⣿⣧⣿⣿⡇⢸⣿⠸⣿⡇⣿⣧⣽⣿⠸⣿⡷⠆⢻⣿⢻⣿⠘⣿⣿⣿⣧⠀⠀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣧⡄⢀⣀⠀⠀⠀⢀⣀⣠⣠⣤⣴⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⣿⣿⣿⡀⠀⠀⠀⢸⣿⢿⣿⢻⣷⢸⣿⡀⣿⣇⣿⣿⣸⣿⠓⣿⣧⣤⢸⣿⡸⣿⡇⣿⡇⠿⠿⢀⣀⣀⡠⠤⠤⠴⠀⣀⣀⣺⣿⣿⣿⣷⠏⠉⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣦⣴⣤⣤⣤⣄⣀⣀⣀⠀ ⣷⣤⡩⢙⠛⠂⣿⡥⢼⣿⡼⣿⡼⡿⠈⠻⠷⠟⠁⡟⠿⢿⣿⠆⠉⠙⠋⢸⠁⡂⠀⣴⣾⣷⣦⣴⣶⣤⣦⡇⢰⠏⠃⣨⣿⣿⣟⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣦⣤⠀⠈⠁⠀⠀⠀⠐⠡⠵⣀⡀⠀⣀⣰⣁⠀⢠⣤⣤⠀⣤⣶⢾⣦⣧⡘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣻⣽⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠈⠉⢿⣿⣿⣿⣶⣤⣀⠀⠀⢀⠀⠀⠀⠀⢺⣿⢹⣿⡆⢸⣟⣿⡆⢸⣿⣼⣿⠂⠀⠀⠀⠀⠀⠉⠉⠛⠛⠿⠿⣟⣿⣿⡿⢻⡟⢿⡿⣿⣿⡷⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣤⣤⣾⣿⣿⣿⣿⡿⣿⣶⣤⣬⣙⡻⢴⣄⢸⣿⣄⣠⡄⣸⣿⣿⣷⢸⣿⡟⣿⡇⠀⠀⠀⠀⠀⠀⠸⢿⣿⣿⣶⣶⣤⣄⠀⠀⠀⠀⠀⠈⠉⠃⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣯⣅⣀⠙⢿⣧⣿⠇⠿⠿⠹⠿⠾⣿⣧⣿⣧⣄⣀⣀⣁⣀⠀⠐⠛⠶⠄⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⢿⣿⣿⡿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⠶⢂⡀⣀⣀⠀⠀⠀⠀⠈⠹⠿⣿⣿⣿⣿⣿⣿⣿⣿⣀⠀⡀⡀⠀⠀⠀⠀⠀⣀⣰⣶⣷⡶⠶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿⣿⣿⡿⠟⠛⠋⠉⠀ ⣀⣄⣁⡀⠀⢼⣿⣿⣷⣿⣷⣾⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢲⠶⠄⠀⠀⠀⠈⠛⠛⣛⣯⣭⣽⣿⣟⣲⣶⣿⣷⣾⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠋⠁⠀⠀⠀⠀⠀⠀ ⣿⠿⠿⣿⣷⣢⠦⣼⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣶⠀⠀⠀⠀⠀⣨⡽⠙⠛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⠟⠿⣾⡻⢉⠀⠈⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠀⠈⠉⢠⣶⣶⣶⣶⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠉⠙⠛⠻⠿⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⡀⠀⠈⠛⠂⠀⠀⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠓⠁⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡀⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠿⠟⠻⣟⣁⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣞⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠡⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣩⣭⣿⣿⣿⣻⣿⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠙⠛⠿⠍⣭⣿⡟⣿⡿⠿⠿⠟⠛⠋⠋⠁⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡯⠭⢤⣴⣶⢻⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢋⣠⣼⡻⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⣿⣿⣿⣿⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣟⣀⣠⣾⡟⢡⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠸⡿⠁⣠⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣈⡿⠿⢿⠺⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠟⢀⣾⣿⣿⣿⠟⠛⠀⠀⠀⠀⠀⠀⠒⠒⠊⠉⠁⠉⠉⠉⠉⠉⠉⠛⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣤⠀⠀⠈⠈⠉⠙⣿⣿⣿⡇⠀⠀⠀⢀⡟⠓⠂⣾⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⢻⣿⣿⠀⠀⠀⠀⢸⣿⣶⣾⣿⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⢀⣠⠀⣤⡌⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡟⠁⠀⠀⠀⠀⠀⠈⠉⠙⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡏⠀⢀⡀⣀⣀⡀⣠⣤⡄⢠⣤⢶⣤⠀⣶⡶⣶⣦⢸⣿⡟⠃⣿⣿⢻⣷⢸⣿⣧⣿⡇⠛⠘⠛⠻⢿⣿⣿⣿⣿⣟⣿⣿⣟⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠚⠀⠀⠀⠈⠙⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡏⣿⠸⡇⢻⣿⣧⣿⣿⡇⢸⣿⠸⣿⣇⣿⣧⢿⣿⢸⣿⡷⠆⢻⣿⢻⣿⠘⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠉⠉⠛⠻⢿⣿⣿⣿⣇⠛⠁⠀⠀⠀⣀⣠⣐⣴⣷⣿⣢⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡻⠿⣿⣿⣄⠀⣀⠀⢸⣿⢿⣿⢻⣷⢸⣿⡀⣿⡧⣿⣿⣼⣿⡉⣿⣧⣤⢸⣿⡸⣿⡇⣿⡇⠿⠿⠤⠤⠶⡖⠒⣺⡇⢀⣤⣤⣮⣿⣿⣿⣿⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣶⣤⣦⣴⣤⣤⣤ ⢿⣦⣐⠭⡉⠁⣿⡥⢸⣿⡼⣿⡾⣿⠀⠻⠷⠟⠁⡟⠛⠻⠿⠃⠉⠉⠉⢸⠁⡅⢀⣾⣿⣿⣷⣾⣿⣷⣶⣇⣸⣃⠁⡶⣿⣿⣯⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣷⣦⣀⠀⠀⠀⠁⠀⠀⠐⠚⠤⠄⠀⣀⣰⣀⠀⢠⣤⣤⠀⣴⣶⢶⣶⠷⠌⠻⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢻⣿⣿⣿⣷⣶⣄⠀⠀⢠⡀⠀⠀⠀⢸⣿⠹⣿⡆⢸⣿⣿⡆⢸⣿⣼⣿⠃⠀⠀⠀⠀⠀⠀⢀⣉⣉⣛⠛⠯⠿⠿⠿⠹⠏⠙⠟⢿⣿⡏⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⣶⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣙⡾⠦⣸⣿⡤⣤⡄⣸⣯⣿⣷⢸⣿⡍⣿⡇⠀⠀⠀⣀⠀⠀⠘⢻⠿⠿⢿⣿⣶⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣷⣤⣄⡘⣿⣧⣿⠇⡿⠿⠹⠿⠿⢿⣷⣿⣷⣤⣤⣤⣤⣄⣀⣈⠉⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⢀⣀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿ ⠿⠾⣿⡯⠟⢿⣻⣷⣿⣿⣿⢿⣿⣿⣿⣿⣿⡛⣣⣀⣠⣄⣀⠀⠀⠀⠀⠘⠛⠿⢿⣿⣿⣿⣿⣿⣿⣤⣀⠤⠄⢀⡀⠀⣀⣀⣠⣼⣽⣿⡟⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠋⠉⠀⠀⠀ ⣠⣤⣄⣀⠀⠸⢿⢿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⡏⢹⣓⡂⠀⠀⠀⠀⠉⢉⣭⣷⣶⣾⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡿⣛⢿⣿⣔⡒⣾⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⢂⠀⠀⠠⠊⠉⣉⣉⡛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⠿⠿⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⠋⠻⢾⣙⢁⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠀⠀⠉⡠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⡀⠉⠉⠙⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⡄⠀⠈⠙⠂⠀⢀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠑⠀⠀⠀⠀⣠⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠛⠛⠛⠛⠋⡥⢤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣞⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠈⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣨⣾⣿⣷⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⠈⠙⠛⣂⢶⣿⡟⣿⡟⠛⠛⠋⠉⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡿⠭⠵⣶⣶⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⢈⣤⡹⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⣿⣿⣿⣿⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣟⣀⣠⣾⡿⢃⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠘⠿⠃⢠⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣈⡿⠿⢿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡟⣀⣼⣿⣿⣿⠟⠛⠂⠀⠀⠀⠀⠐⠒⠒⠊⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣦⠀⠀⠈⠁⠉⠉⣿⣿⣿⡇⠀⠀⠀⠀⡟⠓⠂⣾⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡄⠀⠀⠀⠀⠀⢻⣿⣿⠀⠀⠀⠀⢸⣿⣷⣾⣿⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⢀⣠⠀⣤⡌⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠟⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡏⠀⢀⡀⣀⣀⡀⣠⣤⡄⢠⣤⢶⣤⠀⣶⡶⣶⣦⢸⣿⡟⠃⣿⣿⢻⣷⢸⣿⣧⣿⡇⠛⠘⠛⠛⢿⣿⣿⣿⣿⣟⣻⣿⣏⣠⢦⡦⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠈⠉⠙⠛⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡏⣿⢸⡇⢻⣿⣧⣿⣿⡇⢸⣿⠸⣿⣇⣿⣷⢾⣿⢸⣿⡷⠆⢻⣿⢻⣿⠘⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⢿⣿⣿⣿⣇⠀⠀⠀⠀⠀⣀⣀⣂⣰⣷⣿⣲⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡛⠿⢿⣿⣇⠀⢠⡀⢸⣿⢿⣿⢻⣷⢸⣿⡀⣿⡇⣿⣿⣼⣿⡌⣿⣧⣤⢸⣿⡸⣿⡇⣿⣇⠻⠿⠤⠶⠖⡒⠚⣻⡏⢀⣤⣤⣮⣿⣿⣿⣿⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣷⣤⣶⣴⣦⣤⣤ ⣿⣶⣔⡪⠉⠁⢻⡇⢸⣿⡼⣿⡾⣿⠀⠻⠷⠟⠁⡟⠛⠻⠿⠃⠉⠉⠉⠸⠁⡇⢠⣼⣯⣿⣿⣿⣿⣷⣶⣧⣼⣃⠁⡶⢿⣿⣧⣿⣿⣿⣿⡀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢿⣿⣿⣷⣶⣀⠀⠀⠀⠀⠀⠈⠀⠚⠤⠄⠀⣀⣨⣂⠀⢠⣤⣤⠀⣴⣶⢶⣷⠻⠤⠻⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣾⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠻⣿⣿⣿⣿⣷⣦⡀⠀⠠⣄⣀⠀⠀⢸⣿⠹⣿⡆⢸⣿⣿⡆⢸⣿⣼⣿⠃⠀⠀⠀⠀⠀⠀⢀⣭⣉⣛⣛⠻⠿⠻⠿⠚⠏⠙⠟⢿⣿⡏⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⣶⣿⣿⣿⣿⣿⣿⣻⣿⣷⣶⣮⣽⡺⠧⢸⣿⡦⣤⡄⣸⣯⣿⣷⢸⣿⡍⣿⡇⠀⠀⠀⠀⠀⠀⠘⢛⡿⠿⠿⣿⣷⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣷⣦⣤⣘⣿⣧⣿⠇⡿⠿⠹⠿⠟⠿⣷⣿⣷⣶⣦⣤⣤⣤⣄⣈⠉⠉⠂⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⢀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿ ⠻⠻⡿⠿⠟⢻⣿⣿⣿⣿⣿⢯⣽⢿⣿⣿⣿⣛⣫⣄⣤⣤⣀⣀⡀⠀⠀⠈⠛⠿⢿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⢀⡀⢀⣀⣠⣤⣤⣿⣿⣟⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠋⠉⠀⠀⠀ ⣤⣦⣤⣄⡀⠸⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣩⣟⡓⠀⠀⠀⠀⠉⠉⢭⣶⣶⣶⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡛⣛⢿⣿⣴⡒⢾⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣂⠀⠀⠰⠆⢉⣉⣉⣛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠻⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⠃⠛⢿⣍⠡⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡓⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣁⠈⠉⠉⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡤⡆⠀⠀⠉⠁⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⡀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠧⠨⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⠍⠀⠀⠀⠀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠚⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠉⠙⠻⢣⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣶⣾⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡈⠉⠛⢒⡲⣾⡟⣿⣟⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡯⠭⢴⣶⡾⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⡪⣎⡿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⢸⣿⣿⣿⣿⡆⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⣏⣀⣰⣿⠟⢱⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠹⠟⠀⣴⣿⣿⣿⣿⣿⠀⠀⠀⠀⢀⣹⡛⠻⢧⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠏⣀⣿⣿⣿⡿⠛⠓⠀⠀⠀⠀⠀⠒⠒⠒⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣦⠀⠀⠈⠀⠈⠹⣿⣿⣿⠀⠀⠀⠀⢸⡞⠒⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠘⣿⣿⣿⠀⠀⠀⠀⢸⣿⣷⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⢀⣠⠀⣤⡍⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡟⢁⣤⠀⠀⠀⠀⠐⠈⠉⠉⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡇⠀⢀⡀⣀⣀⡀⣠⣤⡄⢠⣤⢦⣤⠀⣶⡶⣶⣦⢸⣿⡟⠃⣿⣿⢻⣷⢸⣿⣧⣿⡇⠛⠘⠛⠻⢿⣿⣿⣿⣿⣟⣛⣿⣇⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠗⠀⠀⠀⠉⠉⠉⠉⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠏⣿⢸⡇⢻⣿⣧⣿⣿⡇⢸⣿⠸⣿⡇⣿⣷⢿⣿⣸⣿⡷⠆⢻⣿⢻⣿⠘⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⣿⣿⣿⣿⣠⠀⠀⠀⠀⢀⣖⣐⣂⣾⣾⣿⣤⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡛⠿⣿⣿⣄⠀⣀⡀⢸⣿⢿⣿⢿⣷⢸⣿⡀⣿⣿⣿⣿⣾⣿⠈⣿⣧⣤⢸⣿⡸⣿⡇⣿⡇⠿⠿⠤⠶⠒⡖⢲⢿⠁⢠⣤⣴⣮⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣷⣦⣶⣶⣦⣤ ⣿⣦⣔⠉⠉⠁⢿⡄⢺⣿⡼⣿⡼⡿⠀⠻⠷⠟⢹⠟⠛⠿⠟⠀⠉⠉⠉⠸⠈⡀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣦⣍⣂⠀⡾⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣷⣶⣀⠀⠀⠀⠀⠀⠀⠐⠓⠤⠄⠀⣀⣸⣀⠀⢠⣤⣤⠀⣤⣶⢶⣷⠷⠌⠻⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢻⣿⣿⣿⣿⣶⣤⠀⠀⠠⣀⣀⠀⠀⢸⣿⠹⣿⡆⢸⣿⣿⡆⢸⣿⣼⣿⠁⠀⠀⠀⠀⠀⠀⢠⣬⣉⣙⣛⠓⠟⠟⠏⠚⠋⠙⠛⢿⣿⠇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣮⣽⡺⠦⣸⣿⡦⣄⡄⣸⣧⣿⣷⢸⣿⡉⣿⡇⠀⠀⠀⠀⠀⠀⠛⣛⡻⠿⠿⢿⣷⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣷⣦⣤⣘⣿⣧⣿⠇⠿⠿⠹⠿⠟⠿⣷⣿⣷⣶⣶⣤⣤⣤⣤⣀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⣀⣀⣀⣀⣽⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿ ⠿⠻⡿⠿⠟⢻⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⡛⣩⣄⣤⣤⣀⣀⣀⠀⠀⠈⠛⠿⢿⣿⣿⣿⣿⣿⣿⣤⣄⠀⠀⣀⣀⣀⣀⣤⣴⣴⣿⣿⣟⣛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠋⠁⠀⠀⠀ ⣤⣦⣤⣄⡀⠺⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⣹⣽⡃⠀⠀⠀⠀⠉⠁⣵⣶⣾⣿⣿⣭⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡛⣛⢻⣿⣵⠳⠾⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⢀⣂⠀⡀⠰⠂⢀⣉⣉⣙⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⠃⠛⢿⣍⠠⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡒⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⠀⠀⠉⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡤⡆⠀⠀⠉⠁⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣧⣀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠦⠠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⠌⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠛⠉⠉⠙⢻⠦⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⢀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠈⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⣶⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠉⠙⣖⡲⢾⠏⣿⡛⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠐⠒⡆⡄⡤⠄⣤⢲⠂⡄⣄⢠⡄⡤⢤⡤⠀⠤⣄⢠⠄⠒⠠⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⠒⠃⠃⠓⠚⠛⠘⠀⠃⠋⠃⠃⠓⠐⠚⠀⠓⠚⠐⠛⠀⠘⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⢀⢀⢀⢀⡀⠀⠀⠀⠀⠀⠀⠀⡀⡀⢀⡀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⢀⠀⠀⠀⠀⢀⢀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠈⠉⠈⠈⠁⠀⠀⠀⠀⠀⠀⠀⠁⠁⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠈⠈⠉⠈⠀⠀⠁⠀⠀⠀⠀⠀⠀⠁⠁⠀⠀⠀⠀ ⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡶⣶⣶⠶⣶⣶⢶⣶⡶⡶⠶⣶⠶⡶⠶⣶⠶⢶⡶⣶⣶⠶⣶⣶⣶⢶⢶⠶⠶⡶⠶⣶⠶⣶⣶⣶⢶⡶⢶⡶⠶⢶⣶⢶⠶⣶⣶⢶⣶⣶⣶⠶⣶⡶⠶⣶⣶⣶⡶⡶ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣾⣷⣿⣿⣾⣿⣿⣾⣶⣾⣿⣿⣶⣷⣷⣷⣷⣶⣷⣿⣿⣿⣿⣶⣷⣿⣷⣷⣶⣷⣿⣿⣿⣿⣶⣿⣾⣿⣶⣾⣶⣿⣶⣾⣾⣿⣿⣿⣿⣶⣿⣧⣾⣿⣿⣿⣷⣶ ⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡇⠀⠆⠆⠦⠀⠦⠦⠄⠤⠖⠄⠆⢸⣿⣯⣉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣷⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡿⣿⣻⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣻⡿⢿⢿⢿⡿⣿⢿⣿⣿⣟⣿⣿⡟⣿⣿⣿⣿⣿⣿⡿⡟⣿⣿⣿⣿⣿⡿⣿⣿⣿⡟⡟⣿⡿⣿⣿⣿⣿⢿⣿⣿⡿⣻⡿⣻⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣇⣿⣸⣸⣠⣸⣀⡇⣆⣇⣈⣰⣸⣯⣒⣅⣿⣇⣮⣸⣰⣿⣈⣾⣀⣿⣇⣪⣸⣇⣇⣄⣣⣸⣠⣺⣇⣇⣆⣇⣈⣰⣸⣇⣶⣇⣅⣇⣇⣿⣖⣷⣎⣨⣸⣸⣯⣒⣅⣾⣇⣿⣛⣇⣄⣇⣿⣿⣿⣿⣿⣿⣿ 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⣿⣿⣿⣿⣿⠀⠀⠀⠀⠁⠠⠄⠐⠆⠀⣀⠐⠀⠀⠐⠀⠉⠁⠀⠤⠦⠀⠀⢠⣀⠀⠀⠀⠒⠈⠉⠀⠠⠐⠒⠀⠀⠠⠄⠀⠀⣈⠀⢀⠰⠾⠓⠀⠰⠦⠀⠀⣀⠀⠀⠀⠉⠉⠁⢀⣠⣀⠀⣤⣍⠉⠥⠌⠋⠃⢸⣿⣿ ⣿⣿⣿⣿⣿⠈⣃⡀⢠⠀⠀⠀⡀⠅⠀⠀⠀⠀⠙⠀⠀⣀⠤⠀⠀⠀⢀⡁⠀⠀⠀⠐⠀⠉⠀⡠⠤⠖⠀⣀⣠⡄⠀⠀⠘⠁⠁⠤⠿⠟⠂⠀⡤⠀⠀⠀⠀⠁⠁⠀⣴⡤⠄⠰⣦⣈⠔⠂⠈⠉⠀⠀⠀⠀⠒⢸⣿⣿ ⣿⣿⣿⣿⣿⠀⠀⠀⢀⠒⠂⠈⠁⡀⠰⠦⠄⠀⠀⠀⢀⠀⠀⠀⠀⠨⢉⣡⣤⠤⠄⢛⣀⣀⣠⡄⠀⣤⣉⠩⠡⠀⠘⠃⠃⠀⠺⠷⠌⠉⠁⠀⠀⠀⠠⣴⠶⠀⠸⣶⠶⡗⠲⢯⣉⣛⡋⠡⠀⠉⠀⠀⠀⠄⠀⢸⣿⣿ ⣿⣿⣿⣿⣿⠀⠀⠶⠀⠀⠀⠀⣤⡀⠀⠀⠀⠐⢉⠀⠠⠄⠀⠀⠙⢰⣶⣄⡶⠒⡀⡀⠄⠀⠠⠀⠂⠙⠉⠁⠀⠶⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠸⢶⣶⡖⠉⢉⠀⠀⠀⠀⠈⠉⠉⠀⠀⠶⠀⠀⠀⢀⣀⠀⢸⣿⣿ ⣿⣿⣿⣿⣿⠀⠀⠀⠀⡀⠈⣈⣀⠀⠀⠀⠈⠃⣀⠀⠀⠀⠀⠀⠀⠄⠀⣀⣤⣤⠥⠤⠤⣀⡆⠀⠀⠀⠀⠀⠀⢀⣠⣤⡦⠧⠠⣀⡠⣤⠀⠀⣀⣘⣛⣋⠁⠄⠉⠃⠀⠀⠰⠆⠀⠀⠀⡀⡀⠀⠀⠀⠈⠉⠀⢸⣿⣿ ⣿⣿⣿⣿⣿⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⢈⠀⠀⠀⣀⣠⣀⣙⣀⡀⢰⣦⣤⠆⠒⠀⠀⠈⠁⠀⠀⠘⠃⠀⠀⣶⣤⣔⠴⠒⠘⠀⠀⠀⠀⠀⠙⠻⠓⠀⠀⣤⠁⠀⠀⠀⠀⢀⠀⠀⢈⣥⣽⡤⠀⢀⣠⡄⠀⢸⣿⣿ ⣿⣿⣿⣿⣿⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠺⠀⠀⣌⣙⣛⣉⣠⣤⣶⠾⠏⠠⣭⣤⠀⠄⠁⠀⠈⠀⠄⠀⠀⠀⠐⠈⠐⠁⠀⠈⠰⠷⠀⠀⢀⡀⠐⠀⠀⠀⠀⠀⠀⠀⠀⣛⣁⣀⠀⣰⣤⡬⢥⡤⠒⠀⠁⠀⠀⢸⣿⣿ ⣿⣿⣿⣿⣿⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠛⠛⠚⣧⣤⠭⠄⠐⠀⠀⠀⠉⠀⠀⠀⠀⡚⠃⠀⠀⣤⠄⠈⠀⠀⠀⠁⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⢀⡄⠀⠀⢄⡙⠟⣋⣁⠠⠌⠛⠉⠀⠀⠀⠀⠈⠛⠀⢸⣿⣿ ⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣤⠈⠐⠶⠿⠛⠉⣉⣠⣬⣿⢋⣉⡁⠀⡤⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠒⠀⠈⠀⠀⠴⠆⠀⠀⠀⠀⠂⠄⠀⠀⠀⣤⣶⡿⠖⠒⠒⢿⠟⠛⠋⠁⠀⠀⠖⢠⡄⠀⠀⠀⠀⠂⠀⢸⣿⣿ ⣿⣿⣿⣿⣿⣴⡶⠤⠀⠠⣤⣴⡿⣷⣜⠛⠿⡛⢉⣁⣠⣤⣾⡿⠥⠠⢤⣄⡀⠠⠆⠀⠀⡄⢀⠡⠀⠀⠀⢀⠀⠉⠁⠀⠀⠀⠀⣚⡁⠀⠀⢠⣶⣤⡤⣧⠖⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠁⠆⠀⢸⣿⣿ ⣿⣿⣿⣿⣿⣀⣤⣤⣶⠶⠋⠭⢤⣄⡻⠿⣭⠟⢏⣉⠛⣋⡁⠠⠀⠀⠀⠈⠀⠀⠀⠀⣈⠐⠛⠀⠀⡰⢀⡌⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠈⠁⠀⠀⠀⠚⠁⠀⠀⠀⡀⠀⠁⠀⠀⡀⠀⠀⠀⠀⢀⣼⣿⣿ ⣿⣿⣿⣿⣿⠛⠋⣉⠀⠀⠀⠀⠚⠉⠀⠀⠀⠀⠛⠿⠿⠂⠀⡀⣀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡀⠀⠀⠀⢀⡴⢀⠈⠀⠀⠀⠀⣀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠛⠴⢾⣿⡿⠛⠉⠑⣶⠄⢸⣿⣿ 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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣭⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣟⣹⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣟⣽⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⢿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣯⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣤⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣏⣿⢹⣽⢸⡻⣿⣻⣯⢹⡍⢻⠻⢻⠄⡿⢻⠻⡟⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣸⣿⣸⣇⣟⣿⣿⣰⣶⣿⣸⣿⣀⣇⣸⣀⣇⣘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠉⠟⠻⠿⠿⠷⠛⣯⠭⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⣠⢠⣰⣖⣶⢚⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠒⠒⠋⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣻⢭⣿⣲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣟⠝⠘⣿⣿⣿⣟⡟⠛⢛⣛⣟⡿⡛⣛⣟⣿⣻⢛⣻⢻⣿⣿⣿⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠔⣲⣿⣿⣿⡿⠿⠹⢛⡵⠛⣽⡿⡏⡿⠙⠓⠂⡾⠴⠀⠀⢸⣿⣿⣟⣙⣙⣻⣙⣛⣉⣟⣉⣙⣙⣋⣻⣙⣟⣿⣿⣿⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠰⢂⡥⣜⠫⠯⠟⠊⠉⠀⠠⠖⡀⠀⠀⠉⠉⠊⠈⠀⠀⠐⠀⠀⠀⠑⢺⣿⣿⣯⣽⣿⣽⣿⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠠⠂⠂⠁⠀⠀⠅⠁⠘⠀⠀⠀⠀⠐⠀⠀⠀⠈⠊⠀⠉⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣧⣤⣤⡤⣤⣤⣶⣤⣤⣤⣤⡤⣤⢤⣤⣬⣤⢤⣴⣬⣤⣤⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣦⣤⣤⣤⣬⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 3451 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/10/29/Meme_No_Cupholders.shtml Gemini version at https://techrights.org/n/2024/10/29/Meme_No_Cupholders.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ [Meme] No Cupholders⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Oct 29, 2024, updated Oct 29, 2024 Cupholders and other gimmicks... 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇I've_had_the_same_car_since_the_1970s;_half_a_century? ...but_it_has_no_cupholders⦈_ 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇The_2019_Subaru_Ascent_will_have_19_of_them._Not_airbags, but_cupholders._That’s_more_than_any_mass-market_vehicle_ever_produced, amounting_to_almost_two-and-a-half_cupholders_for_each_passenger.⦈_ Give people more personal time/life. Or better salaries. Then they won't need to eat inside the car. ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢱⣿⣿⣿⣿⣧⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣠⠀⠀⠸⡿⠃⣠⣴⣾⣿⣿⣿⣧⣤⣌⠛⢛⣛⣻⣿⣿⣿⣿⣧⠀⠀⠀⣿ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⡎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢊⣴⡿⠛⢻⣿⣿⣿⣿⣿⡟⢩⣶⣶⡜⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⡁⠀⣾⣿⣅⣴⣿⢿⣿⣿⠟⣉⣤⣼⣟⠿⠃⢸⣿⣿⣿⣿⣿⠀⠀⠀⣿ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣧⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠛⠻⣿⣿⠁⣿⣿⣿⣷⣿⣿⣿⣿⣷⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⣿ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢩⣭⡍⠉⢩⣭⣥⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠈⣡⣄⠙⠻⠿⣳⣿⣿⣿⣿⣯⣤⣬⣻⣿⣿⣿⣿⠀⠀⠀⣿ ⣿⣿⣿⣿⡟⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠇⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠋⢱⣿⣿⣿⣿⣿⠀⠀⠀⣿ ⣿⣿⠃⠘⢠⣷⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠉⠻⠀⠀⠀⠀⢀⠀⠀⠷⣾⣿⣿⣿⡇⠈⠈⠉⠩⣰⣷⣆⢸⣿⣿⣿⣿⣿⠀⠀⠀⢻ ⣿⠇⡔⠀⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⢸⣿⣿⣿⣏⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠠⠇⠴⠀⠀⠀⠀⠀⠀⠁⠒⠈⣿⣿⣿⣿⣶⣤⣤⣴⢟⣿⣿⣯⣙⠻⣿⣿⣿⠀⠀⠀⢸ ⣿⡤⠁⢠⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⢸⣿⡏⠉⠁⠀⠈⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⡿⣿⣿⣏⡛⡿⣿⠀⠀⠀⢸ ⣿⢁⣤⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⠀⢸⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣴⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣬⡛⠿⠿⠿⠇⠿⠀⠀⠁⠸ ⠃⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⡇⠀⠀⠀⠂⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢀⣴⣼⣿⣧⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣹⣿⣦⠠⣤⠀⢠⠀⠀⠀⠀ ⠿⠛⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⣿⣷⣶⣶⡶⠶⠶⠦⣒⣤⣶⣶⡶⣆⣭⣭⣶⣶⣶⣶⣾⣯⣭⣽⣿⣿⣿⣿⣿⠀⢀⣴⣿⣿⣿⣿⣿⣞⠿⣿⣿⣿⡿⣫⣿⣿⣿⡿⣿⣿⣷⡙⠀⣦⠀⠀⠀⠀ ⣴⣶⣶⣶⣶⣴⡆⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⢸⠿⠛⠉⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠉⢉⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣾⣿⣿⣿⣿⣷⢿⣿⣿⣿⡄⣿⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠿⠀⠀⠀⠀⠀⠀⢀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⢰⣷⣄⣠⣶⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠛⠛⢿⣿⣟⣿⣿⣿⣿⡟⠀⠀⠀⠀ ⣤⡤⠄⠋⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠤⠤⣌⣩⠽⢭⣟⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⢈⣝⠟⠊⢽⣿⣿⣷⢠⡄⠀⠀ ⠁⢂⣤⣶⡾⠟⠃⠀⠀⠀⠀⠀⠀⣀⣀⣤⣴⣶⣾⣿⣿⣿⣿⣷⣦⣍⣙⣓⣒⣒⣚⣛⣉⣉⡉⠭⣝⠛⠋⠀⡂⢤⣿⣿⣿⣿⡿⠿⠿⠿⠛⢋⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣶⢿⡿⣿⣿⣿⡆⠀⠙⢿⣿⢸⣧⠀⠀ ⣴⠥⠂⠀⠠⠰⠂⠠⢤⣤⣤⣬⣭⣭⣍⣙⣛⣛⣛⣛⣛⣛⣛⡛⠛⣭⣭⢩⡭⣭⡝⣭⣭⢩⣥⣤⣄⡀⣤⣬⢠⣽⠛⣿⣭⣥⠀⣤⣤⣤⣄⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠹⣿⣿⣿⣿⣿⡇⠀⠀⣼⡟⣸⣿⡄⠀ ⠁⠀⢀⣴⣾⣿⡿⢋⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢛⣛⣭⣭⡅⣿⣿⠘⠃⣿⡇⣿⡿⢸⣿⣉⣴⣦⣿⣿⣸⣿⠀⣿⣿⣿⠀⣿⡇⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⣐⣻⣿⣿⣿⣿⡃⢀⠘⠉⠸⠟⠛⠃⠀ ⡀⠀⢛⠛⠛⣋⣴⣿⡿⠿⠿⠿⣿⣿⣿⣿⣿⡿⢋⣴⣿⣿⣿⠿⡁⣿⣿⢀⠄⢻⣷⣿⡇⢸⣿⠛⣿⠿⣿⣿⢹⣿⢠⣿⣧⣿⡄⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠙⠛⠷⠶⣤⣭⣙⣛⠃⠩⠭⠤⠿⢿⣿⣿⣯⣐⣛⣛⠛⠩⠥⠞⠃⠿⡿⢡⣶⠸⠿⠿⠇⠸⠿⠿⠇⠀⠾⠿⠸⠿⠸⠿⠏⠿⠇⠿⠷⠿⠟⠰⠶⣿⣿⣿⣿⣿⣷⣶⣾⣯⣭⣿⡛⠻⠿⠿⠿⠿⠿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠛⠓⠒⠒⠒⣒⣒⣀⣒⢒⣒⢚⣛⠉⣁⣀⡀⢿⡿⣀⣀⣀⠀⢀⣀⣀⠒⣉⣀⡀⣀⣀⡀⣀⣀⣀⠀⠀⢀⣀⣀⡀⠶⣆⣀⡈⢉⣉⣉⣉⢩⣷⣶⣶⣶⣿⣿⣿⣶⣶⣶⠀⢀⣀⣀⣤⣀⣀ ⠀⠀⠀⠀⠀⠀⠀⠐⠒⠒⠀⠤⠄⠀⠀⠙⣻⣿⠛⣸⣿⢸⣿⠀⣿⡟⠃⠈⢹⣿⡉⠿⠆⢸⡿⣿⡀⣿⣿⡇⣿⣿⡇⣿⣿⠛⠀⠀⣿⡏⢹⣿⢀⣿⣿⣷⠀⣿⡏⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢠⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⠀⢸⣿⢿⣿⠀⣿⡿⠇⠀⢀⣙⢿⣷⡄⣿⡇⣿⡇⣿⡏⣿⡿⣿⡇⣿⣿⠿⠀⠀⣿⡇⢈⣉⢸⣿⢸⣿⠀⣿⡟⣿⡅⢿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⠀⢸⣿⢸⣿⠀⣿⣧⣤⠀⠘⣿⣤⣿⢇⣿⡟⣿⣧⣿⡇⢿⡇⣿⡇⣿⣿⣤⠀⠀⢿⣧⣼⡿⣸⣿⢻⣿⡇⣿⡇⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠉⠛⠻⠿⠿⠛ 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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⠿⠿⣿⡿⣿⠻⣿⡿⣿⢿⣿⣿⣿⡿⣿⣿⢻⡿⣿⡿⠿⣦⣿⣿⢿⡿⢿⣿⣿⡿⣿⠿⢻⣿⣿⣿⢿⡿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢾⣷⣿⣾⣷⣿⣿⣿⣾⣷⣷⣿⣾⣾⣿⣿⣿⣿⣿⣶⢾⣿⣷⣿⣿⣿⣿⣶⣿⡆⠉⠉⠁⠉⠀⠈⠁⠉⠉⠁⠀⠁⠀⠉⠁⠁⠉⠉⠉⠉⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣾⣾⣿⣾⣾⣷⣿⣿⣿⣷⣾⣷⣿⣿⣷⣿⣶⣾⣶⣿⣿⣿⣿⣷⣷⣿⣿⣿⣾⣾⣿⣿⣾⣿⣷⣾⣿⣦⣾⣿⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣙⣽⣯⣭⡏⠽⠯⠿⠯⠃⠿⠿⠹⠯⠟⠟⠩⠽⠇⠻⠏⠿⠹⠯⠿⠿⠿⠏⠽⠿⠯⠽⠝⠿⢿⣯⣯⣙⣾⣯⣿⣍⣽⣿⣏⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣟⣿⣟⣿⣹⣿⣟⣻⣿⣿⣟⣿⣛⣿⣿⣛⣻⣛⣛⣿⣙⣿⣿⣿⣛⣿⣹⢙⡟⣟⣿⣯⢛⣿⣿⢛⣿⣿⣹⣿⣿⣋⣟⢿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 3599 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/10/29/Meme_To_Cancel_the_GPL_They_Need_to_Cancel_Its_Guardian.shtml Gemini version at https://techrights.org/n/2024/10/29/Meme_To_Cancel_the_GPL_They_Need_to_Cancel_Its_Guardian.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ [Meme] To 'Cancel' the GPL They Need to Cancel Its Guardian⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Oct 29, 2024 And its patron. 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Oops,_General_public_license⦈_ 2021: IBM_and_RMS_Are_Not_Compatible Last year: What_IBM_Does_to_RHEL_is_Neither_Surprising_Nor_Acceptable ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣤⠀⠀⠈⠈⠈⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢀⡀⠛⠍⠀⠀⠀⠀⠀⠀⢀⡭⠖⠓⠒⠒⠒⢦⣄⠀⠀⣆⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠟⠛⠛⠛⠛⠛⠉⠉⠉⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠽⠋⠉⠀⠔⠈⠀⠀⣠⡴⠞⣁⠀⠀⠀⠀⠀⠀⠀⠈⢷⣄⣻⣧⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢄⠀⠀⣀⣰⠤⠚⠙⢻⣿⣿⣿⡶⠀⠀⠀⠀⠀⠀⠀⢻⡻⢿⣷⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣷⠷⢟⣉⣱⣷⣿⣿⣷⣶⣿⣿⡿⢀⣠⣄⠀⢀⡀⠀⠀⣸⣿⡄⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠇⠀⠀⠀⠀⠀⠀⠀⠰⠞⢛⣭⣵⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣶⣾⣷⣿⣿⠛⢫⠹⣿⣿⣆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⡔⡂⡦⢠⢆⢳⠍⡬⠝⠬⠇⠇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡇⠀⠀⠀⠀⠀⢰⣿⣷⣾⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠛⠂⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠁⠁⣉⢈⠀⢀⢀⢠⠀⣄⠤⠄⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⢐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠀⠀⢰⠒⠹⠰⠸⠝⠤⠄⠙⠐⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⣤⡄⠀⠀⢹⣿⣿⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⣻⣿⣿⣿⣿⣿⣧⣀⣀⡄⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠠⠀⣄⠄⢤⣒⡤⡰⠦⡂⠮⠁⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⣿⡇⠀⠀⠀⣷⣿⡀⠀⠀⠘⢻⡿⣿⣿⣿⡟⠋⣙⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠃⠐⠘⠚⠘⠂⠁⠁⠉⠉⠉⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠤⠀⠒⠃⠚⠓⠊⠉⣿⣿⣧⠀⠀⠀⠀⠠⠙⠿⣿⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡀⠀⠀⠀⢸⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣄⠀⠀⠀⠀⠀⠀⠉⠉⠻⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⡦⣌⠙⢷⡶⣼⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠿⠿⠿⠿⠿⠟⠿⠿⠟ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢦⡈⢶⣄⣿⣾⠀⠀⠀⠀⠁⠈⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⢹⣿⣿⣛⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠙⠙⢿⣿⡿⣯⣅⠈⢧⠈⢯⠹⢾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠉⠉⠀⠉⠁⠁⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣒⣲⣶⣶⣶⣾⣦⣖⣀⣤⡀⠀⠀⠀⠀⠀⠀⣀⣶⣶⢲⡌⠛⢧⡘⡄⠈⢇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠛⠛⠿⠟⠛⠃⠀⠀⣀⠀⣠⣶⣶⣶⣾⣾⣿⢻⣅⠹⡄⠀⢻⣶⠀⠘⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠤⠤⠀⠒⠒⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣓⣐⣟⣛⣛⣿⣟⣿⡕⠀⢻⣦⠘⠀⠘⣿⣇⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡠⠤⠤⠔⠒⠒⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣴⣶⣦⣤⣴⣷⣿⣿⣿⣿⣿⣿⣿⣷⣆⣀⣿⣦⣤⣀⣹⣿⣀⣸⣤⣤⣴⣶⣒⣒⣋⣉⣉⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢀⡄⢸⣾⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⣂⣠⣤⣀⡐⣾⡟⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣷⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢸⡇⢹⣯⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⣙⣛⢿⣿⣿⣿⣴⡇⠀⠀⠀⠀⣀⣴⣧⣆⣀ ⣿⣿⣿⣿⣿⣿⣇⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢸⠿⣘⣁⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⢄⣠⣮⣣⣶⣾⣭⣟⣻⣿⠇⠀⠀⢀⣦⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣆⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣄⠞⠋⠁⠀⠀⠀⠀⠀⠈⠙⠳⢶⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣮⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣼⣶⣯⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⢻⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⠀⠀⡾⠁⠀⠀⡀⢠⠀⠀⠀⠀⠀⡘⣿⣿⣿⣿⣿⣿⠟⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠙⠉⠫⢨⠷⠙⢻⠻⠧⢹⡽⠹⡉⠽⡏⣾⣽⣟⣿⣽⠹⣿⢿⠀⠘⣇⠀⠀⢸⢣⢘⣦⣀⢠⣄⣠⣬⡌⠛⠻⢿⣿⡶⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢟⣋⣄⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠈⠁⢠⠐⠀⠀⠈⠘⢻⢼⡞⠀⠛⢸⠀⠀⠀⠀⠀⠈⢸⣄⣿⣾⣼⣿⣯⠛⡃⣰⣿⣟⣯⣦⣄⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡿⢛⣩⡴⣾⠟⠛⢛⣁⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠃⠈⢊⢸⠀⠀⠀⠀⠀⠀⠀⣷⣿⣿⣿⣿⣿⣯⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡿⠛⠁⠀⠉⠁⢀⣠⣴⣾⣿⣿⡿⠿⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠂⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⠁⠄⠀⠀⣠⣶⣿⣿⣿⣿⣿⡁⠀⣀⣤⣶⣾⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⠯⠽⠃⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠿⣿⣿⣿⣿ ⣿⣿⣇⠀⠀⠀⣾⣿⣿⣿⣿⢟⡛⠋⠦⢿⣿⣿⣿⣿⡟⠀⠀⠳⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠈⢹⣿⣿⣿⠟⠿⠏⠀⠀⠀⠀⠀⠀⠀⠹⢿⣟⠛⢿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠈⢿⣿⣿ ⣿⣿⣿⣄⠀⠀⢻⣿⣿⣿⣿⡌⠋⠀⠀⠀⠁⠀⠀⠈⠁⠀⠀⠀⠙⣿⣿⣿⣶⠀⢀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢀⠞⡹⠛⠁⠀⠀⠀⠐⠀⠀⠀⠘⠂⠀⠄⠀⠀⠀⠀⠈⣿⣿⣿⣿⡄⠀⠀⠀⠑⠢⣻⣿ ⣿⣿⣿⣿⣄⠀⠀⠹⣿⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿⣿⣷⡈⠲⠔⣦⣄⡀⠀⠀⢸⠀⠀⠀⠀⢀⣴⡏⢠⣿⠀⠀⠀⠀⠀⢰⠀⢠⠀⢠⡄⠀⣁⣠⡄⠀⠀⠈⢿⣏⣿⣿⣿⣆⠀⢄⡁⠳⢤⡙ ⢻⣿⣿⣿⣿⣧⡀⠀⠈⠃⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⡿⣿⣷⠀⠘⠈⣿⣿⣦⠀⢸⠀⠀⠀⣰⣿⣿⠇⣹⡏⠀⠀⠀⠀⠀⢰⡀⠀⠀⢀⠀⠀⣿⠿⠀⠀⠀⢀⣼⣿⣿⠏⣿⣿⣷⢾⣽⣷⣦⣿ ⠀⠙⢿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠀⠈⠙⢣⠀⠀⠘⣿⣿⣧⢸⠀⣠⣾⣿⣿⣿⠋⠚⡇⠀⠀⠀⠀⠀⠀⠙⠲⢾⠿⠟⠟⠛⠀⠀⢀⣴⣿⣿⣿⡟⠀⠙⣿⣿⣧⣻⣿⣿⣿ ⠀⠀⠀⠻⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣾⣿⣿⡿⣿⣿⠇⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⡿⠃⠀⣴⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣴⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢀⠀⠀⠙⢿⣿⣿⣿⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 3666 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/10/29/More_on_What_Caused_Volkswagen_to_Lose_So_Much_Money_Proprietar.shtml Gemini version at https://techrights.org/n/2024/10/29/More_on_What_Caused_Volkswagen_to_Lose_So_Much_Money_Proprietar.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ More on What Caused Volkswagen to Lose So Much Money (Proprietary Software)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Oct 29, 2024 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Volkswagen⦈_ TODAY we published a pair of articles about Volkswagen [1, 2]. The company is evidently in a state of crisis, which in turn means many working families (especially in Germany) face unemployment. "The closure of the VW [Volkswagen] plants in Germany dodge the question of what role the terrible, closed source software and software based surveillance and software based emissions cheating play in the public's willingness to consider buying VW cars," a reader told us. Volkswagen has been quite_a_lot in this news so far this week and the reader sent along the report "Volkswagen_may_close_plants_in_Germany_for_first_time_in its_history" and this reminder_of_the_'dieselgate'_emissions_scandal. It's not a solved issue yet. SFLC and many other organisations spoke out about how proprietary (secret) software enabled this scandal. The BBC says: "Martin Winterkorn was chief executive of the [Volkswagen] German company in 2015 when it was engulfed in a scandal that sent shockwaves through the entire industry. It emerged the company had been deliberately manipulating official emissions checks, building cars that could pass laboratory tests while producing illegal levels of pollution in daily use." So there are two lessons here about proprietary software: 1) don't buy cars that are heavily loaded with it. 2) don't trust companies that use it a lot to cheat and lie. █ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣤⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⡿⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⢿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⠿⠋⠁⠙⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⠏⠀⠙⠻⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣾⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣆⠀⠀⠀⠀ ⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀ ⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀ ⠀⠀⣼⣿⣿⡟⢻⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⡿⠻⣿⣿⣷⠀⠀ ⠀⢰⣿⣿⣿⠁⠀⢻⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣧⠀⠀⣼⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⡿⠁⠀⢻⣿⣿⡇⠀ ⠀⣾⣿⣿⡇⠀⠀⠀⢻⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣧⣴⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⡿⠁⠀⠀⠘⣿⣿⣿⠀ ⢀⣿⣿⣿⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⣿⣿⣿⡆ ⢸⣿⣿⡿⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⢸⣿⣿⡇ ⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⠿⠿⠿⠿⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇ ⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷ ⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣶⣶⣶⣶⣶⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡏ ⢸⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇ ⠘⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠇ ⠀⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⠏⠙⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⠀ ⠀⠸⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⡏⠀⠀⠸⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡇⠀ ⠀⠀⢿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡿⠀⠀ ⠀⠀⠘⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣆⠀⠀⠀⢠⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⡄⠀⠀⠀⣰⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⠃⠀⠀ ⠀⠀⠀⠸⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣆⠀⢠⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⡀⠀⣰⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⠏⠀⠀⠀ ⠀⠀⠀⠀⠹⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣦⣾⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣷⣴⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠁⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⣿⣿⣷⣶⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣴⣾⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ䷩ 𝚕𝚒𝚗𝚎 3753 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/10/29/Over_at_Tux_Machines.shtml Gemini version at https://techrights.org/n/2024/10/29/Over_at_Tux_Machines.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Over at Tux Machines...⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Oct 29, 2024, updated Oct 29, 2024 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Indian_red_corn_for_Halloween⦈_ ⚓ Updated This Past Day⠀⇛ 1. ⚓ Raspberry_Pi_OS_Now_Enables_Wayland_by_Default_on_All_Raspberry_Pi Models⠀⇛ The Debian-based Raspberry Pi OS distribution for Raspberry Pi single-board computers has been updated today with some exciting new features, updated components, bug fixes, and other changes. 2. ⚓ TDE_R14.1.3_released!⠀⇛ The Trinity Desktop Environment development team is pleased to announce the immediate availability of the TDE R14.1.3 release 3. ⚓ Our_Best_Week_Yet_(on_the_Web) [original]⠀⇛ GNU/Linux has grown a lot bigger in recent years ⚓ New⠀⇛ 4. ⚓ EasyOS_6.4_now_available_with_support_for_Zig,_a_new_kernel,_visual elements,_and_more⠀⇛ Now recompiled in OpenEmbedded, EasyOS 6.4 remains labeled "an experimental Linux distribution" for the time being. This update launches with support for the Zig programming language, the version 6.6.58 kernel, new desktop icon themes, support for the WEBP image format in mtPaint, and more. 5. ⚓ GNOME_48_Desktop_Environment_Release_Date_Slated_for_March_19th,_2025⠀⇛ While most of us are already enjoying the many new features and improvements of the GNOME 47 “Denver” desktop environment series, the GNOME project started working on the next major release, GNOME 48. 6. ⚓ Programming_and_Standards⠀⇛ mostly code related picks 7. ⚓ Security_Leftovers⠀⇛ Security picks 8. ⚓ Free_Software_and_Web_Leftovers⠀⇛ FOSS and WWW 9. ⚓ Open_Hardware/Modding:_PCBs,_Raspberry_Pi,_and_More⠀⇛ Hardware-centric stories 10. ⚓ today's_leftovers⠀⇛ misc. GNU/Linux links 11. ⚓ today's_howtos⠀⇛ many howtos again 12. ⚓ Mozilla_Firefox_132_Is_Now_Available_for_Download,_Here’s_What’s_New⠀⇛ Mozilla published today the final version of the Firefox 132 open-source web browser for all supported platforms ahead of tomorrow’s release, so it’s time to take a look at the new features and improvements. 13. ⚓ Linux_6.12-rc5⠀⇛ hours ago 14. ⚓ 9to5Linux_Weekly_Roundup:_October_27th,_2024⠀⇛ The 211th installment of the 9to5Linux Weekly Roundup is here for the week ending on October 27th, 2024. 15. ⚓ Using_Linux_Made_Me_a_Better_Windows_User,_Here’s_How⠀⇛ Linux taught me many things. Some of this knowledge made me rethink how I could fit them into Windows 16. ⚓ Free_and_Open_Source_Software⠀⇛ This is free and open source software 17. ⚓ Porteus_–_portable_Linux_distro⠀⇛ Porteus is a Linux distro that is optimized to run from CD, USB flash drive, hard drive, or other bootable storage media 18. ⚓ Review:_DebLight_OS_1⠀⇛ DebLight OS is a French distribution (with support for the English language) that is based on Linux Mint Debian Edition 19. ⚓ KDE_Apps_and_OSM_Hack⠀⇛ Welcome to a new issue of "This Week in KDE Apps" 20. ⚓ 9_Reasons_to_Learn_Linux⠀⇛ There are plenty of reasons for you to consider investing time to learn Linux. Here, we shed light on some of them 21. ⚓ Today_in_Techrights⠀⇛ Some of the latest articles ========================================================================= The corresponding text-only bulletin for Monday contains all the text. Top-read articles (excluding bot/crawler visits): Span from 2024-10-22 to 2024-10-28 1349 /n/2024/10/24/ Linus_Torvalds_affirms_expulsion_of_Russian_maintainers.shtml 864 /n/2024/10/23/ Linus_Torvalds_Rants_About_Defective_x86_Designs_and_AI_Being_J.shtml 851 /n/2024/10/23/ Parrot_OS_6_2_Ethical_Hacking_Distro_Introduces_Launcher_for_Do.shtml 707 /n/2024/10/22/ Clementine_Music_Player_Released_1_4_1_Stable_after_8_Years_of_.shtml 664 /n/2024/10/22/ HiFive_Premier_P550_mini_DTX_motherboard_features_ESWIN_EIC7700.shtml 632 /n/2024/10/22/ System76_Unveils_the_Thelio_Astra_ARM64_Ampere_Powered_Desktop_.shtml 596 /n/2024/10/24/today_s_leftover.shtml 515 /n/2024/10/26/Jumpdf_keyboard_focused_PDF_viewer.shtml 508 /n/2024/10/26/ PeaZip_10_Released_with_Revamped_GUI_Engine_Compression_Presets.shtml 503 /n/2024/10/20/ Slackware_Based_PorteuX_1_7_Launches_with_Linux_6_11_GNOME_47_1.shtml 496 /n/2024/10/20/GNUHealth_GNU_Boot_and_GNU_World_Order.shtml 482 /n/2024/10/22/today_s_howtos.shtml 480 /n/2024/10/24/ Vivaldi_Browser_7_0_Introduces_Redesigned_UI_and_Tools.shtml 466 /n/2024/10/25/today_s_howtos.shtml 462 /n/2024/10/20/Linux_6_12_rc4.shtml 462 /n/2024/10/22/ KDE_Plasma_6_2_2_Is_Out_Now_to_Improve_Compatibility_with_Speci.shtml 461 /n/2024/10/22/today_s_leftovers.shtml 454 /n/2024/10/22/ Conflict_of_interest_fear_as_Abusive_Monopolist_Microsoft_signs.shtml ⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⡿⠁⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣿⣿⣿⣿⣿⣿⠋⢹⣿⣿⣿⣿⣿⣿⠁⢿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇ ⣿⣿⣿⣿⣿⣿⣿⠁⠻⢿⠃⠀⠁⠀⣾⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⡏⠀⣾⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⡏⠀⢸⣿⣿⣿⣿⣿⣿⠈⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠃⣿⣿⣿⣿⣿⣿⣿⠀⢹⡿⠛⠻⠋⠀⢰⣿⣿⡿⠟⠉⠻⠁⠀⣾⣿⣿⣿⣿⣿⡇⠀⠘⣿⡿⠻⠛⠻⠿⠀⠈⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⡿⠋ ⠘⠿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡏⠀⣿⣿⣿⣿⣿⣿⣿⠀⠀⠃⠀⠀⠀⠀⢸⣿⠋⠀⠀⠀⡀⠀⠀⢿⣿⣿⡿⠿⠉⠁⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠈⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀ ⣤⣤⣀⠉⠙⢡⣴⣶⣿⣿⣶⣦⣄⠈⠟⠻⠿⡿⠿⠿⠏⠀⠀⠻⣿⣿⣿⣿⣿⠟⠀⠀⢀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠁⠀⠀⠀⠉⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⣰ ⣿⣿⣿⣷⡀⣿⣿⣿⣿⣿⣿⣿⣿⠆⢠⣶⣿⣷⣶⣄⠀⠀⠀⠀⣀⠁⠈⠉⢠⣶⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣽⡟⠛⠿⣿⣿⣿⣿⣿⡿⠿⠠⣾⣿ ⣿⣿⣿⣿⡇⠸⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⠀⢡⣾⣿⣿⣿⣷⡀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣾⣿⣿⣿⣷⣦⢀⣴⣿⣿⣿⣷⣆⠀⠀⠀⢀⣄⣀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣦⡀⠈⠛⡿⠿⠿⠁⠀⢀⣿⣿ ⣿⣿⣿⣿⡷⢀⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⠀⠸⣿⣿⣿⢙⣿⡇⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⢸⣿⣿⣿⣿⣷⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠈⠻⣿ ⣿⣿⣿⣿⡟⢸⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⣿⣿⣿⣟⠀⠀⣿⣿⣿⡿⢻⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⠋⣿⣿⣿⣿⣿⣿⠃⠈⣿⣿⣿⢻⣿⡇⠀⢻⣿⣿⣿⣿⠟⢿⣿⠀⠀⣰⣶⣶⣶⣦⡀⠀⠀ ⣿⣿⣍⣙⠀⢸⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⣿⣿⠏⠀⠀⣿⣿⣟⠀⠀⠃⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣸⣿⣿⣿⣿⣿⠀⠀⢻⣿⠅⠘⢻⠁⠀⢀⣿⣿⣿⣿⡷⢿⡏⠀⠀⣿⣿⣿⣿⣿⣿⣆⠀ ⣿⣿⣿⡉⠀⣼⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⠃⠀⠸⣿⠋⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⣿⣿⣿⣿⣿⣿⠀⠀⣼⣿⠀⠀⠀⠀⠀⢺⣿⣿⣿⠿⠛⠽⠁⠀⠀⣿⣿⣿⣿⣯⣛⣻⠇ ⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⡇⠀⣼⣿⣿⣿⣿⡏⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⡟⠈⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣀⠀⠀⠀⠀⠀⢿⣿⣿⡗⠆⡂⠀⠀⠀⣿⣿⣿⣿⡇⠈⠋⠀ ⣿⣿⣿⠇⢸⣿⣿⣿⣿⣿⣿⠇⠀⣿⣿⣿⣿⣿⡅⠀⠀⣀⣤⣷⠂⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⢱⣿⣿⣿⣿⣿⣿⡗⠀⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣯⠀⠀⠀⠀⠀⣸⣿⣿⠃⠀⠀⠀⠀⣾⣿⣿⣟⠀⠀⠀⠀⠀ ⠛⠿⠏⠀⠘⢿⣿⣿⣿⣿⡿⠀⠀⠻⣿⣿⣿⡿⠃⠀⠀⢻⣿⣿⠁⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⣼⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⡟⠀⠀⢻⣟⠻⠑⠂⠀⠀⠀⢻⣿⣿⣷⠀⠀⠀⢀⣿⣿⣿⣟⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⠇⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀⠀⠙⠏⠀⠀⠀⠀⠀⠘⢿⣿⣿⠟⠉⠀⣿⣿⣿⣿⣿⣿⡿⠃⢸⣿⣿⣿⣿⣿⠇⠀⠀⠀⠹⠦⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣷⣄⠀⠀⠀ ⠀⠀⠀⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠘⠿⢿⠿⠟⠋⠀⠀⠀⠻⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⠋⠀⠀⠀ ⠀⠀⣾⣿⣿⣿⣿⣿⣿⣆⠀⠀⢀⣠⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠀⠀⠀⠀⠀ ⡀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣷⠀⠀⢀⣴⣾⣿⣿⣷⣦⡀⠀⢰⣿⣿⣿⣿⣿⣿⠀⠀⠀⢀⣴⣶⣦⣤⡀⠀⠀⠀⢀⣀⠀⣀⠀⠀⠀⠀⠀⣀⣤⣤⡀⠀⠀⠀⣠⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠘⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣇⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⡆⠀⠀⢺⣿⣿⣿⣿⢏⠀⠀⠀⣿⣿⣿⣿⣷⠀⠀⠀⣾⣿⣿⣿⣿⡄⠀⢸⣿⣿⣿⣿⣶⣄⠀⠀⢀⣤⣀⣀⠀⠀ ⣿⠀⠀⣿⣿⣿⣿⣿⣿⠇⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⡄⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⠃⠀⠀⠀⢻⣿⣿⡟⠃⠀⠀⠀⣿⣿⣿⣿⣿⣿⡄⠘⣿⣿⣿⣿⣿⣿⡄⠀⣾⣿⣿⣿⣷⣴ ⡿⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⠇⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣶⠀⠀⠀⢸⣿⣿⣷⣾⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿ ⡏⠀⠀⢸⣿⣿⣿⡿⠁⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⠀⣼⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⡟⠀⠀⣿⣿⣿⣿⣿⡗⠀⠀⠀⠸⣿⣿⣿⡧⠀⠀⠀⣿⣿⣿⣿⣿⣿⡆⠀⣿⣿⣿⣿⣿⣿⠃⠀⣿⣿⣿⣿⣿⣿ ⡇⠀⠀⠸⣿⣿⡏⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⠀⢿⣿⣿⣿⣿⣿⣿⣯⠀⠸⣿⣿⣿⣿⣿⣿⡅⠀⠀⣼⣿⣿⣿⡿⠀⠀⠀⠀⢀⣿⣿⣿⠇⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⠆⠀⣿⣿⣿⣿⣿⣿ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡟⠀⠘⣿⣿⣿⣿⣿⣿⡿⠀⠀⣿⣿⣿⣿⣿⡿⠃⠀⠀⣿⣿⣿⣿⡷⠀⠀⠀⠀⣼⣿⣿⡏⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⠃⠀⢸⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠿⢿⣿⣿⡿⢏⣀⠀⠀⠈⠛⠿⠿⠿⠟⠃⠀⠀⠙⢿⣿⣿⡟⠀⠀⠀⠀⢻⣿⣿⠿⠃⠀⠀⠀⠀⠙⠿⠿⠃⠀⠀⠀⢰⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⠋⠀⠀⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣷⣶⣦⡀⠀⢀⣤⣴⣶⡄⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⠁⠀⠀⠈⠿⣿⠟⠋⠀⠀⣸⣿⣿⣿⣿⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 4024 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/10/29/Rebranding_Products_Services_Vapourware_as_a_Sign_of_Failure.shtml Gemini version at https://techrights.org/n/2024/10/29/Rebranding_Products_Services_Vapourware_as_a_Sign_of_Failure.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Rebranding Products/Services/Vapourware as a Sign of Failure⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Oct 29, 2024 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇The_site_was_born_out_of_his_frustration_at_seeing_members of_the_Microsoft_community_write_product_names_incorrectly._Often.⦈_ When even Microsoft apologists like Simon Sharwood moan_about the rebrands of a failing_family_of_products_vapourware you know something is amiss. We previously alluded to this phenomenon of constant rebranding, e.g. in: * Microsoft_Is_Rebranding_Its_'Chatbot'_Search_for_the_Third_Time_Because It_Fails_to_Gain_Adoption * Rebranding_and_Shutdowns;_Is_WSL_Next_to_Get_the_'Cull_Treatment'? * [Meme]_'Hey_Hi'_(AI)_is_the_New_'Metaverse'_(or_'Meta'),_Just_Hype_and Vapourware_(VR_and_Chatbots_Rebranded)_to_Keep_Shareholders_Waiting Whenever Microsoft changes the name of something you know that it's not doing well or it received a lot of negative publicity (the only way out of prior bad press is to start again with a new name). In more recent times even human beings started renaming themselves to dodge their past, then tried to enforce censorship of what they did before. █ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⡿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⢿⠿⣿⣿⣿⢿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿ ⣿⣧⣿⣤⣼⣬⣤⣤⣷⣦⣤⣤⣧⣵⣽⣷⣼⣬⣯⣿⣯⣾⣧⣤⣬⣧⣼⣽⣼⣿⣤⣤⣥⣼⣿⣼⣿⣼⣴⣤⣼⣤⣼⣼⣿⣼⣿⣤⣤⣤⣧⣿⣵⣿⣥⣤⣼⣷⣾⣯⣿⣵⣼⣵⣤⣷⣵⣥⣿⣿⣿⣥⣤⣤⣶⣿⣿⣿ ⣿⣍⣋⣭⣯⣿⣝⣍⣍⣽⣿⣽⣿⣝⣉⣉⣝⣽⣹⣏⣽⣝⣽⣭⣫⣫⣭⣝⣿⣹⣉⣙⣽⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡿⢿⢿⣿⡿⢿⡿⠛⣿⡿⣿⣿⡿⡿⢿⠻⣿⠿⠟⣿⡿⠿⠿⡿⣿⢿⠻⣿⣿⡿⢿⡿⠿⣿⠻⢿⡿⣿⣿⣿⣿⡿⣿⠿⢻⠿⡿⣟⢻⡿⠻⠿⡿⠿⢿⡿⡿⠿⡿⡿⢿⠻⠿⣿⣿⣿⠿⡟⢻⠿⣿⣿⢿⣿⠿⣿⣿ ⣿⣿⣿⣷⣿⣶⣶⣶⣶⣿⣶⣿⣿⣶⣶⣶⣶⣿⣷⣶⣾⣷⣶⣶⣶⣾⣶⣾⣾⣿⣷⣶⣷⣶⣾⣶⣾⣷⣾⣾⣿⣾⣷⣾⣶⣾⣶⣶⣿⣾⣶⣶⣿⣶⣽⣶⣷⣶⣶⣷⣶⣶⣶⣶⣿⣿⣿⣶⣷⣾⣷⣿⣾⣶⣾⣾⣿⣿ ⣿⣝⣿⣗⣻⣻⣫⣿⣫⣻⣏⣺⣙⣈⣉⣿⣹⣃⣇⣷⣩⣏⣉⣹⣾⣬⣿⣻⣟⣉⣋⣃⣾⣝⣪⣻⣻⣯⣻⣿⣟⣍⣇⣥⣯⣋⣟⣍⣟⣅⣸⣂⣝⣟⣷⣇⣫⣱⣟⣿⣉⣏⣸⣭⣍⣉⣹⣹⣹⣫⣏⣉⣯⣻⣩⣃⣿⣿ ⣿⢟⡟⣿⡛⠟⢛⡛⢟⡟⢟⣟⣻⡟⠻⣻⡟⣿⢛⢛⣿⢟⣻⣟⡟⠟⣛⠛⠛⢛⢻⡟⣟⣟⢿⠛⠛⡟⡻⣻⣟⣟⢟⠏⠛⡛⢛⢛⣟⠻⠛⢙⣟⣟⣟⣿⢛⡛⠛⡛⢻⢛⣻⣻⣻⠛⢛⢻⢻⢟⣟⣿⡻⢹⣿⣿⣿⣿ ⣿⡿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡿⣿⣿⣾⣿⣿⡿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⢿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣿ ⣿⣾⣥⣅⣿⣤⣿⣿⣿⣼⣤⣤⣼⣼⣿⣧⣥⣤⣤⣼⣾⣿⣿⣿⣽⣿⣤⣤⣿⣤⣿⣿⣮⣼⣿⣯⣴⣿⣧⣿⣴⣽⣧⣃⣧⣯⣦⣥⣼⣿⣿⣯⣤⣧⣿⣿⣼⣴⣧⣯⣿⣿⣬⣼⣬⣾⣼⣼⣿⣿⣴⣷⣦⣴⣥⣼⣿⣿ ⣿⡿⡟⡿⡟⢿⠛⠛⣟⢯⠻⠻⡋⠻⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 4079 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/10/29/Techrights_Will_Only_Cover_More_of_What_Microsofters_Don_t_Want.shtml Gemini version at https://techrights.org/n/2024/10/29/Techrights_Will_Only_Cover_More_of_What_Microsofters_Don_t_Want.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Techrights Will Only Cover More of What Microsofters Don't Want It to Talk About⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Oct 29, 2024 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Scary_halloween_food_with_spiders⦈_ Because what causes unwarranted pushback is a "barometer" for what needs even more coverage. Same as EPO... 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇CPB_Funds_Ideological_Overseers_at_NPR_in_Response_to_Right- Wing_Criticism⦈_ WE know that today should be very productive, with lots of articles already published in_the_first_3_hours_of_the_day. We're very much motivated by the observation that notorious Microsoft employees want us gagged. They're not even hiding it. The gagging tactics are a symptom. Consider the_attacks_on_the_FSF_as_of_late. We know what the goal is. There are hardly_any_pretences_about_that. Then consider the above news. There's an effort to turn the media into state propaganda of the "MAGA" crowd; shaming is the method, public shaming in particular. A reader has said that "this_is_the_harbinger_of_the_death_of_the_free_press_in the_US" (citing "CPB Funds Ideological Overseers at NPR in Response to Right- Wing Criticism"), adding that "it's also heavily about censorship." "I suppose there is a gag order from the top at NPR about it since nothing has been mentioned about it there." NPR has many issue, including the way that it takes bribes from Microsoft and from Bill Gates (in exchange for bias). But it's a shot in their own foot if their response to right-wing criticism is to simply "pivot" to the right. It's basically letting the critics feel like they're getting their way; they will then want more and more. The media can stick to facts, not emotions. That should be the sole compass. █ ⣆⠀⢿⣿⣧⠀⠀⠻⠿⠋⠀⢘⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⡏⠀⠀⠀⠀⠀⣿⣿⣿⠿⠀⠀⠀⠀⠀⠀⠙⠛⠋⠉⠀⠀⠀⠉⠛⠻⢿⣿⣶⣴⣶⣦⣄⣀⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⠘⠿⠋⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿⣿⣷⣶⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⢈⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣟⡛⠻⢿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣶⣄⣀⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⣠⣿⣿⣿⣿⣶⣤⣬⣿⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣋⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠁⠀⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣍⠛⠿⡿⠆⠀⠙⠋⠉⠀⠀⠀⠀⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⡆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣶⣦⡀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠟⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣦⣤⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣿⡄⠙⠻⠟⣻⣷⣶⣤⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⢘⣷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣶⣾⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠃⠀⠀⠀⠙⠻⠅⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣠⡾⠋⠀⠀⠀⠙⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⠀⣼⣿⣿⣿⣿⣿⣿⣿⡏⠙ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⣶⣦⣤⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠉⠉⠙⣿⣿⣿⣿⣿⡇⠀ ⠀⠀⣀⡠⣆⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣄⠀⠀⢀⣀⣻⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣶⠀⠀⠀⠀⠈⣸⣿⡿⢛⣛⣛⡛⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢦⡀⠈⠻⣿⣿⣿⠀⠀ ⠀⢰⣿⣾⡿⠛⠛⢿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⠁⢀⣿⣿⣿⣤⣄⣤⠶⠛⠉⠀⠈⠙⣿⣿⣿⣿⣿⣿⣷⣤⣤⣶⣶⣿⠏⣾⣿⣿⣿⣿⣿⡷⠶⣶⣶⣤⣄⠀⠈⠀⠀⠀⠀⠀⠀⠤⠀⠀⠀⠒⣈⣿⠃⠀⠀ ⣴⣾⠿⠋⣠⠆⠀⣸⣿⣿⣿⣶⣶⣶⣦⣤⡀⠀⠀⠀⠉⣷⣿⣯⡙⣿⣟⣫⡛⠛⠛⢛⣿⠿⠻⠧⣽⣿⣿⣿⣟⣿⣿⣿⣿⣿⣭⣾⣿⣿⣿⣿⣿⣿⣿⣿⣶⡼⠟⠃⢠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠄⠙⠃⠀⠀⠀ ⣥⣶⡿⢋⣵⣶⣿⢟⣛⣋⣉⣛⠛⢿⣿⣿⣷⣀⣠⣴⣾⣿⣿⣿⣿⣏⢻⡿⣷⣶⡄⢿⠇⣀⡀⠀⠀⢈⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠈⠻⠁⣸⣄⠀⠀⢀⣠⣿⣷⡀⠘⠀⠀⠀⠀⠀ ⣿⣿⢡⣿⣿⣿⢡⣿⡿⠛⢿⣿⣧⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣰⡾⠏⢀⡄⠀⠉⣿⣿⡿⠛⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣾⣧⣤⡾⠿⣹⣿⢏⣴⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀ ⣿⣿⢻⣿⣿⣿⣾⢟⣵⡇⢿⣿⣿⠀⡿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣤⣶⢨⡾⢠⡾⢁⣭⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡧⡦⠈⠁⢘⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⢸⣿⣿⣷⣿⣿⣿⣿⣸⣿⣿⣿⣶⣶⡶⢶⡶⠶⠶⣭⣛⠛⠿⠠⢁⠀⠋⠀⠾⠆⠀⠀⠁⠀⠉⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⣀⣠⣶⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡏⣾⣿⣿⣻⣿⣿⣿⣿⣿⡿⠛⠋⣀⣬⣶⣾⣿⣿⣿⣶⣭⠁⠀⠂⠈⠀⠀⠀⠤⠄⢀⡀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠿⢟⣡⣤⣶⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⢛⣿⠛⣉⣤⣤⣴⠶⢀⢰⣧⣸⠀⣄⠂⣀⠀⠈⠋⢀⣭⡍⣭⣥⣶⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣯⣶⣿⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀ ⣉⣉⡛⠛⠻⠛⠟⠻⠋⠁⠀⠀⣀⣠⠜⢉⣥⣾⣿⣿⣿⣡⣶⣿⡆⠁⠉⢀⣿⣆⠈⢸⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿ ⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣿⣿⣿⣵⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣦⣤⣿⣿⣿⣿⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿ ⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡍⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⡿⠿⠿⠟⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠃⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠿⣿⣿⣿⣿⣿⣿ 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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣧⣥⣬⣦⣧⣴⣴⣷⣽⣴⣥⣵⣷⣵⣮⣼⣮⣦⣵⣼⣦⣾⣦⣵⣾⣾⣤⣤⣤⣴⣾⣤⣀⣮⣾⣥⣤⣆⣸⣬⣶⣤⣤⣤⣱⣧⣾⣤⣤⣿⣄⣤⣤⣄⣸⣶⣵⣷⣼⣰⣰⣤⣮⣮⣾⣤⣷⣾⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣟⣻⣩⠫⣯⣻⣽⣹⣯⣉⣍⣹⣹⣍⣭⣝⣽⣩⣻⣍⣍⣹⣽⣟⣍⣉⣽⣹⣉⣙⣝⣫⣏⣉⣉⣍⣹⣙⡉⠹⣿⣿⣹⣿⣿⣋⢹⣙⣝⣽⣽⣿⣝⣍⣯⣯⣭⣫⣟⣉⠍⣉⣉⣉⣉⣉⣝⣝⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡿⠿⡿⡟⠟⣿⠿⢿⠿⠻⠛⠿⢿⡟⣻⡿⠿⠿⢿⠿⠿⠿⡿⢻⣿⣿⣿⢿⡿⢿⢿⢿⡿⣿⣿⢿⢿⠿⢻⡿⣿⠿⡿⠿⣿⣿⢿⣿⣻⡿⡿⢿⠿⠿⢿⢿⠿⠿⠿⢻⣿⡿⢿⠻⠿⠿⠻⡿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡿⢿⣾⣿⣿⡿⢷⣿⣿⣿⣿⣿⡶⣿⡿⣿⡷⣿⣿⢿⣾⣾⡷⣷⣾⣿⣷⣷⣿⣷⣷⣿⣿⡾⠾⣷⣷⣶⡿⣷⣿⢷⢿⣿⣾⣾⣿⣿⡷⣷⣿⡾⣿⣿⣷⣿⣿⢿⣿⣷⡿⣾⣾⢿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣧⣶⣦⣷⣾⣷⣾⣦⣿⣶⣧⣦⣷⣷⣵⣦⣶⣴⣧⣶⣿⣴⣴⣵⣶⣶⣿⣵⣿⣼⣾⣦⣶⣿⣧⣧⣮⣾⣤⣶⣴⣿⣴⣤⣾⣿⣿⣿⣴⣷⣶⣷⣧⣼⣶⣾⣼⣾⣵⣵⣷⣦⣾⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣇⣍⣃⣉⣁⣨⡙⣏⣋⣭⣙⣩⣿⣻⣾⣉⣍⣹⣿⣟⣩⣿⣋⣉⣏⣛⣻⣻⣋⣏⣛⣟⣷⣀⣉⣋⣿⣟⡝⠈⠉⠱⠇⣉⣁⣉⣉⣹⣟⣟⣋⣍⣟⣝⣟⣹⣍⣉⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣴⣶⣶⣶⣶⣶⣶⣶⣶⣤⣤⣤⣭⣭⣭⣭⣭⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 4219 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/10/29/Volkswagen_refused_to_help_police_locate_a_stolen_car_with_a_2_.shtml Gemini version at https://techrights.org/n/2024/10/29/Volkswagen_refused_to_help_police_locate_a_stolen_car_with_a_2_.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ "Volkswagen refused to help police locate a stolen car with a 2-year-old inside because the owner's subscription fee was not paid."⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Oct 29, 2024, updated Oct 29, 2024 Video from last year: ䷩ 𝚕𝚒𝚗𝚎 4244 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://techrights.org/n/2024/10/29/Volkswagen_s_Mass_Layoffs_Have_a_Lesson_Somewhere_in_the_1960s.shtml Gemini version at https://techrights.org/n/2024/10/29/Volkswagen_s_Mass_Layoffs_Have_a_Lesson_Somewhere_in_the_1960s.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Volkswagen's Mass Layoffs Have a Lesson Somewhere (in the 1960s)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Oct 29, 2024 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Vintage_Art_Deer_in_the_Forest_Old_Tapestry_Woven_Image Beautifully_Detailed⦈_ "The German automaker has announced plans that include a 10% reduction in pay across the board for its workers, along with wage freezes in 2025 and 2026." SO pretty much as expected (prior warnings aplenty) Volkswagen has announced cuts [1,2] and they go quite deep. As we've made some memes and articles about "modern" cars perhaps now is a good time to discuss the matter, not just blaming it all on "the economy". In Daily Links we've included some stories about how so-called 'consumers' learned how to buy cars that last longer and don't cost a fortune (for all the toys inside them). The world's leading automobile companies wrongly assumed people would buy whatever is mass-marketed and made available though the channels. They were wrong. Remember Windows Vista? 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Edsel⦈_ At one point Vista was compared to Ford_Edsel. Quoting the magazine (Time): "As it turned out, the Edsel was a classic case of the wrong car for the wrong market at the wrong time. It was also a prime example of the limitations of market research, with its “depth interviews” and “motivational” mumbo-jumbo." History is repeating itself. █ Related/contextual items from the news: 1. ⚓ Volkswagen_plans_major_layoffs,_to_shut_at_least_three_German_plants, works_council_head_says⠀⇛ Volkswagen plans to shut at least three factories in Germany, lay off tens of thousands of staff and shrink its remaining plants in Europe's biggest economy as it plots a deeper-than- expected overhaul, the carmaker's works council head said. 2. ⚓ Volkswagen_Plans_Job_Cuts_And_Plant_Closures_As_Vehicle_Sales_Slump⠀⇛ Volkswagen (VLKAF) is considering widespread layoffs and plant closures in its native Germany as the company’s vehicle sales decline. The German automaker has announced plans that include a 10% reduction in pay across the board for its workers, along with wage freezes in 2025 and 2026. Volkswagen is also proposing to close three factories and downsize all other plants in Germany, resulting in an unspecified number of layoffs at the company. Taken together, the proposed reductions are the biggest in Volkswagen’s home market of Germany in decades. ⠀⠀⠀⣀⣀⣀⣀⣀⣀⡀⣀⣀⣀⡀⠀⢀⣀⣀⡀⡀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣀⡀⡀⢀⣀⣀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⠀⣀⡀⢀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀ ⠀⠀⢿⣾⡋⣵⡖⣼⡭⣛⣽⠿⠉⠀⣠⠉⣬⢻⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⠀⢉⣌⠻⢿⠘⠿⣿⣿⢿⣯⣿⣿⣧⣤⣶⣶⣶⣾⣿⣿⠝⣯⠉⠷⣅⣵⣿⣿⠳⢢⣿⣯⡻⣡⢎⡙⣟⠿⠯⠩⣻⡃⠀ ⠀⢸⣿⣿⣿⣿⣒⣉⣿⢿⣶⢷⣆⠵⠇⠀⠀⠘⠊⠀⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠿⠁⠲⣯⣧⣝⣺⣇⣶⣯⣶⣿⣿⠟⡿⣿⡿⠿⣿⣿⣷⣽⣷⣶⣼⣿⣻⣯⣿⣿⢷⣅⣰⣿⣿⣶⣇⢸⡃⣿⣾⣿⣶⣾⣇⠀ ⠀⣿⣿⠛⣉⣿⣹⣿⣿⠛⢿⠆⠏⡤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⢺⡛⠷⢦⣺⡊⣠⡿⠟⠼⣿⣿⠛⠿⠿⢿⣧⣿⣻⡶⣯⣷⣿⢸⠿⠇⠙⣿⠛⣉⣝⠘⣾⡾⣫⣔⣽⢿⣿⢠⣴⣋⣹⣟⡋⣔⡦⠀ ⠀⠻⠿⣿⣡⣿⡽⠻⢿⡟⠪⠗⠀⠹⢾⣧⠐⢛⠂⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⢈⠒⢂⣅⣴⡆⣠⢤⡄⠙⠇⠀⠀⠀⣴⣪⠛⢷⣿⣷⣮⣾⣦⡆⣆⣼⣿⣿⣿⣿⣿⣿⢀⣤⣿⣿⡿⣽⣿⣷⡿⣗⢺⡼⢴⣦⠀ ⠀⣾⣷⡞⠁⠀⡴⠂⠀⠀⠀⠀⢐⠄⣀⣔⣄⠀⠂⠐⠀⠀⣂⣀⣀⣀⠀⠀⠀⠀⠀⣞⢴⠾⣿⠉⠀⠘⢠⠄⠀⠀⠀⠂⢀⠽⠛⠷⣶⢿⡿⠿⣿⣿⣿⣿⣿⣿⣻⣿⣟⣥⣾⣿⡿⠗⢰⠎⠙⣿⣿⣏⡋⠀⢀⡌⠋⠀ ⠀⢉⠉⢿⣧⠀⠀⢸⣶⣦⠀⣠⠽⡆⢙⠁⠈⣤⡤⠶⠒⠰⠮⠈⠀⢨⡉⠉⠓⠢⣉⠀⠀⡀⡸⣷⠀⠀⠀⡀⢀⠀⢀⠀⢿⣷⣤⡄⠀⠈⠁⢀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠘⢪⠁⠆⠛⠟⠁⠹⠿⠮⣷⡄⠀ ⠀⠘⣄⡎⠻⣶⣄⠀⢉⣿⠇⣿⠃⠀⣼⣴⣉⣿⣿⡆⠐⠖⠒⢀⣁⠻⣣⣶⣧⡌⢙⣿⣾⣿⠙⣷⣦⣾⣾⣝⢿⣠⡀⠿⡟⢃⡿⡁⠈⠀⣰⣌⠛⠙⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⢰⣶⠂⠐⢦⠀⠀⠀⣴⣀⡙⠇⠀ ⠀⠀⡿⠐⣤⡘⠿⣇⣯⣾⢗⡍⠹⣟⣦⠏⣀⣿⣿⣿⡀⢈⠄⠸⠗⢠⡄⣀⡄⠀⡈⠛⢘⡣⢷⡿⠉⡉⠻⠟⢊⠟⣁⣤⠶⣾⣿⣶⣿⣶⣿⣿⡶⠇⢻⣿⣿⣿⣿⣿⣿⠁⢀⣖⣘⠈⠟⣀⣠⡍⠰⣲⠀⢉⣛⠿⠃⠀ ⠀⠂⠀⠀⡉⠷⢀⢴⡗⣠⡜⢃⡔⣾⣾⣿⣿⣿⣿⣿⣧⠛⣟⡭⣦⣿⠟⣉⢘⢰⡇⠀⡈⠛⠮⠀⠱⣴⡼⢋⣴⡿⠇⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠸⣿⣿⣿⣿⣿⣿⡇⠰⣧⣄⣤⡆⢸⣿⠀⢚⣡⢔⠢⣾⣇⠇⠀ ⠀⢐⡶⠻⢭⡃⣘⣻⡼⡿⠂⣾⡁⢨⣙⠛⢻⣿⣿⣿⣿⣃⡟⣀⡈⢋⢀⠙⢸⡀⢴⠖⠙⣒⣞⣀⣀⣉⢠⡿⢿⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣿⣿⣿⣿⣿⣿⣇⠀⢿⣿⣍⣡⡰⣴⡦⣔⣇⢾⣇⠉⣤⡄⠀ ⠀⢸⡿⠲⣫⢏⢻⢯⣇⣵⣿⣿⣥⣾⣫⣶⣧⣿⣿⣿⣿⣿⣻⣥⡿⣍⣘⣡⣬⢟⣶⣿⣿⣿⣿⣿⣿⡿⣿⣶⣼⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡀⣿⣿⣿⣿⣿⣿⣿⣿⣮⣽⡿⠋⠁⢹⣿⣿⣿⢾⡿⢿⡋⡗⠀ ⠀⠈⠙⣚⠛⠢⡆⡸⢧⣿⠏⢙⣿⣟⠙⠩⣤⢿⣿⣿⣿⣿⣷⣷⣼⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⢿⣇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⣤⣼⣿⣿⣿⣿⣿⡟⠀⣾⡟⠻⢎⣤⢹⡿⠊⡇⠊⣴⣴⠮⠆⠀ ⠀⠀⠀⠛⠰⢖⡁⣿⣿⣧⣄⢸⣿⣷⠶⣧⣿⢏⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣾⡏⢸⣿⣿⣿⣿⣿⣷⡇⢈⣇⡈⣾⣿⣿⣠⣿⢷⣬⡿⠟⣿⡏⠀ ⠀⡔⣆⠈⠁⠉⠁⣿⣻⣿⣿⢆⣷⣣⣶⣿⠟⠻⣇⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡫⠁⢸⣿⣿⣿⣿⣿⣿⡇⠈⢿⣿⢛⣝⢭⣿⣯⣸⣟⣤⠱⡌⡴⠀ ⠀⠁⣹⡀⣰⣶⠐⢸⡿⣯⢙⢺⡿⢵⣹⢿⣴⠶⠮⣀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣷⡈⢿⡿⠿⠃⣺⣿⣿⣿⣿⣿⣏⠻⣦⣬⢡⡷⢻⣿⣻⡿⣯⡆⣽⣬⢑⡟⠀ ⠀⠀⠻⡆⠙⣡⣀⣾⣿⣿⣷⢸⣶⣷⣶⣾⡿⣡⣶⣲⠈⠿⣿⣿⣿⣿⣿⡟⣛⠙⠛⢛⣛⢿⣿⣿⢉⠟⣿⣿⣿⣿⣿⣿⣿⣿⣼⢦⣿⣿⣷⣿⡇⣁⡂⣻⣿⣿⣿⣿⣿⣿⡇⠀⠡⣿⡇⢸⣿⠏⣿⡟⢘⡿⢣⢯⠃⠀ ⠀⠘⠔⢢⣰⣿⣷⣻⡃⢉⢹⣼⠣⠙⠿⡏⠀⣿⣿⣏⠈⠐⣿⣿⠁⣿⣿⢷⢠⣠⣇⠴⠾⣿⣻⣿⣧⣬⠹⣿⣿⣿⣦⣸⣿⡿⢿⣯⣿⣿⡟⠿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⠇⠐⡓⢿⢻⠺⠿⢧⣿⡃⣠⡴⣎⡭⠇⠀ ⠀⢸⡁⣾⢌⠛⢛⣿⣟⢋⣾⣿⣟⢰⣼⣯⣀⣧⢀⠤⠬⣽⣿⣿⠟⣻⣿⠛⢾⣿⠿⢀⡿⣦⣄⣿⡿⣙⠀⣿⣿⢼⢿⣸⣿⡇⢠⣶⡟⣿⣯⣾⣿⣿⡇⣾⣿⣿⣿⣿⣿⣿⡆⠠⢿⣿⡄⢨⣁⣴⣿⣽⣾⣇⡿⠂⡀⠀ ⠀⢠⣤⣟⠋⢄⡆⢻⡿⢿⣿⡿⢿⡿⢻⡋⢿⣿⡱⠇⢠⢸⢿⠩⣷⣿⣿⢷⣜⢿⢰⡏⠀⣶⣼⣟⣦⣌⢠⣿⡏⡉⣻⣍⢿⣿⠈⠁⢸⡏⠉⢸⣿⡆⠀⡿⢻⣿⣿⣿⣿⣟⠁⠀⠀⠙⢷⢸⣿⢿⣾⣿⣿⣼⡿⠿⡅⠀ ⠀⣸⢻⠿⣳⡿⠃⣾⢳⡄⣆⣇⣄⣘⣿⢿⣟⢹⣷⣵⠐⣸⣾⣷⡛⣸⣿⣀⡬⢺⡤⢺⡄⣹⡿⡿⠟⠻⢸⡿⣧⣿⢿⡟⠈⣻⣦⣦⣿⠁⡀⢸⡏⠁⣸⡿⣼⣿⣿⣿⣿⣿⠀⠘⡴⠇⠀⡿⢡⣹⡿⣫⣾⠌⠑⢺⠃⠀ ⠀⠈⡾⢾⣿⣍⣠⣿⠛⣦⣽⢿⣿⣿⡿⣜⡋⢠⣿⡍⠀⣿⡥⠀⢠⣽⢿⡋⣰⣧⣄⠀⣵⣿⣤⣶⡞⠃⣾⢣⡉⠁⣸⣧⣾⣿⣿⡿⢍⣸⣿⣿⣧⢠⡿⠁⣿⣿⣿⣿⣿⣿⣧⠀⣀⢄⠀⣧⣿⣿⣿⣏⣹⣴⣶⣦⡇⠀ ⠀⢸⣵⡟⣏⣻⠟⢿⠀⣻⣿⣧⣾⢉⡿⢘⣿⣶⣿⡁⢰⡟⣹⣷⡉⢻⣿⣧⣈⣻⡉⠿⠛⢩⣊⠻⣇⣼⡟⢿⣷⢠⣿⡋⢉⡉⢿⣧⠙⠿⣿⠃⢠⠞⠃⠀⠛⣿⡿⣿⣿⣿⣿⡆⢹⣿⣦⢹⠋⢸⣿⣿⣿⠟⠁⠉⢁⠀ ⠀⢻⣿⠋⠈⠃⠠⣼⣱⣾⣿⠟⣟⣽⢟⠁⡟⣿⣮⣠⣾⠉⠉⠻⠿⡛⢹⣿⣿⢿⠙⠳⣿⡎⢿⡿⣼⣿⠗⢈⠛⡸⠛⢠⡿⠀⢀⣿⣆⠀⢸⣀⠀⠀⠀⠀⠀⠸⠆⠹⢿⣿⡛⠃⠈⢿⣿⣿⠀⢸⣘⣿⠁⠀⠀⠀⠹⠀ ⠀⠀⠀⠀⣠⣶⡄⢸⣭⣿⠇⡌⣯⣶⣿⡷⠷⠀⠉⠙⠟⠅⠂⢠⡄⡈⣾⠟⠹⣿⣿⣆⢘⠶⣶⣴⣿⣿⠆⠀⢇⡑⠀⠠⠀⢀⣿⣿⡿⡇⡄⢻⠀⠀⠀⢀⡀⠘⠻⢄⢑⡖⠀⠀⠀⠀⠉⢿⣴⣿⣿⡇⠀⣀⣀⡐⠶⠀ ⠀⠀⢀⠀⢿⣿⠁⢸⣿⣿⣤⡏⣿⣿⡟⠀⣷⠂⣦⣶⡿⣤⣄⠾⣷⣟⣩⣶⣿⣟⡅⠋⠃⢀⣐⢷⣾⣧⣦⣧⠈⣧⣶⣶⣿⣿⣿⡿⠃⣹⢀⣠⠞⠁⠐⠛⠁⢾⣿⠇⠘⢿⣤⣻⣷⣦⡀⠈⣿⣿⢻⣷⣾⣿⡿⠳⠀⠀ ⠀⠐⠊⢀⣼⠋⢰⢿⣿⣿⣿⣷⣟⣹⠁⠀⢿⣆⠿⠛⠛⢿⡧⠸⠟⢛⣿⡿⢟⢁⣧⡼⢿⣿⣿⠀⠉⡈⣬⣿⣷⣿⣿⢧⣿⣿⡟⣠⣿⣿⣿⣿⠀⠘⣿⣷⡄⢸⡟⢃⣤⡾⠟⠃⠈⠿⣿⡆⡿⣿⣿⣿⣿⠟⢱⣷⠘⠀ ⠀⠄⠈⠛⣏⠀⣀⣬⣿⣿⠿⣿⣿⣿⣶⣾⣿⣿⡗⣠⣆⠠⠇⢠⣶⣶⡷⠜⣾⣿⣿⡄⣷⣾⣽⣿⣾⠰⣿⡁⣻⣿⣿⣾⣿⢟⣶⣿⡿⢻⠁⣿⠀⠀⢨⣿⢷⣿⣿⣿⢇⡹⠇⠀⢀⣀⣨⣻⣏⣿⣿⠋⠀⣀⠀⡍⠓⠀ ⠀⣀⡀⠀⢿⣿⣯⢿⣟⣻⡃⣿⣶⣯⣽⣿⣿⣯⣴⢿⣿⣿⣦⢸⡿⢋⣾⣯⡬⢍⣿⡿⣿⣿⣿⣿⢻⣷⠹⣧⡘⣿⢿⣻⡟⣾⣿⣿⣷⡷⣿⣿⣷⡄⢠⣤⣼⢿⣭⣯⡾⣅⣤⢰⣿⣿⣯⣿⣿⣿⣿⢶⣿⣿⣿⡜⠦⠀ ⠀⢾⣷⡄⢾⡿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣟⡟⡟⢧⢇⠛⢻⡆⠦⢹⢾⠟⣿⡾⣿⣿⣿⣿⡿⢿⣿⠈⠙⠂⢨⣷⣿⣯⣿⡧⣿⣿⣿⢋⣵⡿⢀⣼⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⡏⡿⢿⣿⢻⣿⡟⠉⢿⣿⠉⠉⠃⠘⠀ ⠀⠈⠉⠃⠀⠀⠉⠉⠈⠉⠉⠉⠉⠁⠈⠉⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠁⠀⠀⠉⠃⠈⠀⠈⠁⠁⠀⠀⠀⠉⠉⠉⠉⠉⠉⠈⠁⠋⠛⠋⠀⠁⠀⠈⠉⠋⠉⠉⠁⠉⠉⠉⠀⠀⠈⠀⠀⠉⠀⠀⠀⠉⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣷⢠⣬⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣄⠠⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣛⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣄⣀⡄⡀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣲⡉⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⡥⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢍⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠛⠛⢻⣿⡿⠿⠿⠛⠉⠉⠩⠿⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣯⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⢲⠆⣿⣿⣿⢻⣿⣿⠀⢶⣲⡀⠀⠀⠙⠙⠉⠉⠐⣶⣶⣶⣶⣶⠀⠀⠈⠻⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠸⢰⣿⣿⣿⣿⣿⡇⠀⠀⠿⠛⠀⠰⠀⠀⡄⠀⠀⠈⠛⠛⠛⠛⠂⠀⠀⠀⠈⢻⣿⣿⣿⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣥⣤⣤⣼⣿⣿⣭⣅⣀⢀⣁⣀⡀⠀⡀⣧⠀⠀⠀⠀⣠⣤⣤⣤⣤⡀⠀⣀⣀⣀⣀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀ ⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣡⣾⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⡛⠉⠛⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⣿⣿⣇⣤⣦⣼⢿⣿⣿⠋⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠟⠛⠛⠋⠛⠛⠛⠉⠙⠉⠛⢋⣉⣉⣉⣩⣥⣤⣄⠀⠀⠐⢻⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠛⠉⠉⠁⠀⠀⠀ ⣿⣿⣿⣅⣙⠃⠀⠉⠉⠀⠈⠂⠀⠿⢿⣿⣿⡇⣤⡤⣈⡻⠿⠿⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠋⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠒⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡿⠛⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡿⠽⣿⡇⠀⠀⠤⠞⠛⠛⠋⢀⠀⠀⠀⠀⠀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣧⣾⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⠤⠀⠀⢀⡀⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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https://techrights.org/n/2024/10/29/You_Know_That_Microsoft_s_LinkedIn_is_Struggling_When_It_Starts.shtml Gemini version at https://techrights.org/n/2024/10/29/You_Know_That_Microsoft_s_LinkedIn_is_Struggling_When_It_Starts.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ You Know That Microsoft's LinkedIn is Struggling When It Starts Spamming Users and Disguises the Spam as Personal Messages⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Oct 29, 2024, updated Oct 29, 2024 Disguised as personal message (it's not, it's pure spam): 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Franklin_Tavarez⦈_ For context, LinkedIn had many rounds of layoffs, offices got shut down, and "engagement"_is_down. Now they ask users to pay money for jobs that don't exist (the spam is generic, not personalised). ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤ ⣿⣿⡿⠋⠁⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣷⣤⣀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⢐⡏⡍⢹⢩⠃⠫⢸⠈⡍⣿⡆⠎⢩⠋⠋⠉⣩⠉⠍⢽⠀⢠⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⢿⠿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⠿⣿⢿⣿⣿⣿⣿⣿⡿⠶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣌⣄⣀⣷⣎⣆⣰⣂⣰⡇⢺⣗⠀⣼⣘⣿⣠⣏⣂⣈⣂⣛⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡈⡄⢼⠀⡇⡁⠠⡇⡂⢎⢃⢡⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠋⠀⠀⠀⠀⠘⢿⣿⣀⢩⠉⣏⢹⠫⠀⠉⢹⣧⡌⢹⠋⠉⠋⡍⠩⢹⣧⠀⣼⣟⡏⢹⠍⠭⣽⢉⣏⡋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣆⡀⠀⠀⠀⣠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⡿⢿⣿⣿⢿⣿⣿⣿⣿⡿⣿⣿⣿⡿⡿⣿⣿⣿⣿⣿⠿⣿⣿⡿⢿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⡶⢱⣇⣇⣀⣿⣸⣇⣸⣿⣨⣇⣾⣆⣸⣶⣧⣃⣀⣇⣿⣇⣗⣸⣇⣾⣇⣳⣠⣁⣇⣻⣷⣸⣜⣀⣜⣘⣳⣾⣇⣾⣦⣩⣀⣇⣠⣃⣸⣆⣿⣣⣩⣀⣿⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣯⠏⢯⠛⡙⠛⢻⡟⡛⠻⣛⠛⢛⡋⣛⠟⡟⠻⠛⠛⣟⢻⡟⠛⣻⡏⢛⠛⡛⡛⠻⠛⠛⠟⢿⠙⡻⡏⣟⠋⡻⡟⡻⢛⠟⠋⣿⣛⢟⠛⢻⣟⢙⠛⢛⢹⣟⢛⣿⢛⡟⢛⣻⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣾⣶⣷⣶⣾⣷⣷⣶⣶⣶⣾⣷⣾⣼⣷⣶⣶⣶⣿⣾⣶⣶⣿⣷⣾⣶⣶⣷⣶⣶⣶⣶⣿⣶⣷⣧⣷⣶⣶⣧⣶⣶⣶⣶⣿⣿⣦⣴⣾⣷⣾⣶⣾⣾⣿⣾⣿⣤⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠍⡉⢹⠉⣿⠉⡯⢉⠍⠩⣿⢠⡅⣿⡏⡈⡌⢝⠏⣿⠍⣿⢫⠩⡉⢹⣿⠀⣹⠉⣯⠍⢽⡇⢭⡝⣽⢠⣯⡉⠉⣭⠁⡹⠉⡍⣽⡅⠩⡉⣽⢠⣍⠉⠉⣿⠍⢍⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⡿⠿⡟⠶⡿⠿⡿⠿⢿⢿⠿⢿⡿⡿⣿⡿⠟⠿⡿⢿⢾⠿⡿⠿⠿⢟⢻⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣯⣤⣬⣬⣧⣤⣤⣶⣧⣤⣥⣼⣇⣦⣤⣥⣿⣟⣯⣤⣥⣧⣬⣤⣤⣷⣬⣽⣼⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⣡⣾⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣶⡝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣇⢿⣿⣿⣿⣶⢀⣿⣰⣀⣂⣌⣄⣿⣰⣐⣀⣾⣆⣆⣆⣠⣀⣼⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣵⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⣿⣿⡿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡇⠀⠀⢸⡿⠙⢉⠛⠛⣛⢛⠛⠛⣟⡟⢻⡛⠛⣛⠛⢋⠛⠛⢛⠟⣿⡟⠛⠛⣻⠛⠛⣿⡟⡛⠛⢿⠟⡿⠋⠛⠛⢛⡟⡛⠙⠛⠋⠙⢻⠛⠋⠉⡏⠛⠛⡟⢛⠛⢻⡛⠛⠛⠋⡏⠛⢛⡿⢻⣿⣿⣿⣟⣉⡛⣿ ⣿⣿⣧⣤⣤⣼⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡟⢹⠏⠉⠉⠫⢩⡏⠋⠝⠙⡉⡟⢽⡝⡏⢹⢉⣽⠉⢩⡭⢉⣏⢻⠋⢋⡿⢹⡝⠉⡿⠏⠋⡏⠽⠙⠩⠋⡏⡏⡯⣏⠋⢽⠏⢩⡯⢭⡏⠉⠫⠉⣽⠹⢉⠉⠋⠋⠉⣏⠛⠝⠏⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠷⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠾⠿⠷⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠾⠿⠿⠿⠿⠿⠿⠷⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ䷩ 𝚕𝚒𝚗𝚎 4463 ╒═══════════════════ 𝐃𝐀𝐈𝐋𝐘 𝐋𝐈𝐍𝐊𝐒 ═════════════════════════════════════════════╕ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Gemini Links 29/10/2024: Covid in the Office, Narcolepsy, Node to Node copy (NNCP)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Oct 29, 2024 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇A_spooky_bat_in_a_jar⦈_ 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇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⠀➾ # ⚓ Eyeless_in_Hau_Hin,_or_Groundhog_Day_at_the_Quagmire⠀⇛ Most locals you meet in Thailand are polite to the extent of being painfully deferential; few tend to ask you questions about yourself, and it is rare to have a conversation that goes beyond the superficial. The legendary Thai friendliness and warmth seems genuine, but it is seldom more than surface deep. Most interactions are transactional, and never go beyond the functional. If you are buying something -- food or an item at a market - - the conversation is about the business at hand. If they are trying to offer more personal services, it's all about empty flattery and advertising their special skills. Too bad for them I'm somewhat impervious to flattery and not really interested in their special skills. # ⚓ Covid,_Birds_&_Fishing⠀⇛ So this week I got hit with Covid. 1 collegue came to the office ill and in 1 week over 30% of our entire workfore was sick at home. Please just stay at home when you are ill, especially if you have the option to work from home! I must add the disclaimer that we have paid sick days over here and WFH in my sector really isn't a problem most of the time. # ⚓ Hiatus_and...⠀⇛ Meanwhile, the march towards our imminent move overseas continues. To recap, Skeeter and Mr. Skeeter (hubby Matt) are moving to Ireland, hopefully by the end of the year. We are actually hoping to get there in time for Christmas. We did just do a quick 4 day stay to look at houses. We are back home, purging, sorting, tossing, and packing. I recently went through all of my original PC and PCjr floppies and copied off as much data as I could. I'm hoping to do some DOSBOX stuff when we get to the other side of the pond and maybe give some of these old programs a whirl. Sadly, my first machine, an IBM PCjr, won't be going with me at this time, but it will be stored safely stateside until the time is right. # ⚓ A_Short_Guide_to_Hermetic_Right-Living⠀⇛ As opposed to the reverent, Mind will "remain distant" from "the thoughtless and evil and wicked and envious and greedy and violent and irreverent". # ⚓ Narcolepsy⠀⇛ I've found out that the optimal time for me to sleep without losing my day is 15 minutes. I set a timer and nap anytime I feel a sleep attack coming on. But it all feels like it adds up. Time is a limited resource, why must I have it stripped from me to be a functioning person. I could clean my living room in 15. # ⚓ my_parents_are_not_divorcing!!⠀⇛ my parents have decided to try again, and they are doing so well. i don't live with them anymore, on account of my studies, but when i visit them for week-ends or holidays, i see them just how they were before. well, i suppose i should not say "how they were before", rather, they have overcome the hard times, and are making amends. they have evolved, progressed, and i am so happy to see them happy again. o § Politics and World Events⠀➾ # ⚓ On_our_watch⠀⇛ Terrible things are happening on our watch. I'm a bit over fifty years old and when I was a lot younger I felt that those over fifty had let us down. And now I'm seeing how easy this came to me. I don't feel strong enough to turn the tide. I can write. I can post. I can vote. 🗳️ I guess the frustration just builds up until one day a mob forms on the streets outside, no matter how small, and suddenly a lot of people will discover that where as they can't start a riot, they'll happily join one. o § Technology and Free Software⠀➾ # § Internet/Gemini⠀➾ # ⚓ NNCP_benefits_and_doubts⠀⇛ So, what are the benefits of Node to Node copy (NNCP)? What are my doubts? I have many doubts, now that I've been experimenting with NNCP for a while. NNCP is a way to securely store-and-forward files, mail and other commands. As such, it can replace Unix to Unix copy (UUCP). Since almost nobody uses UUCP these days, the question remains: what for? NNCP is based on the exchange of public keys, so you can’t reach strangers this way. Email, for example, allows you to reach strangers. A positive take would be that NNCP is allow- list based. If you send mail via NNCP, the nodes have to both agree to it before data can be exchanged. # ⚓ Tuesday-4⠀⇛ Yeah, I know it's not very nice to insert a gemini protocol link given you likely weren't reading this in a browser fluent in gemini... but then maybe it's no worse than an https site having a link an explanation of how to write "gemtext", including its non-inline link format? =============================================================================== * Gemini_(Primer) links can be opened using Gemini_software. It's like the World Wide Web but a lot lighter. ䷩ 𝚕𝚒𝚗𝚎 4665 ╒═══════════════════ 𝐃𝐀𝐈𝐋𝐘 𝐋𝐈𝐍𝐊𝐒 ═════════════════════════════════════════════╕ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Gemini Links 29/10/2024: Electric Boogaloo and UCEPROTECTL3⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Oct 29, 2024 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇The_Famous_Hollywood_Sign_as_viewed_from_the_grounds_of Griffith_Observatory⦈_ 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈ § Contents⠀➾ * Gemini*_and_Gopher o Personal/Opinions o Technology_and_Free_Software * § Gemini* and Gopher⠀➾ o § Personal/Opinions⠀➾ # ⚓ Salton_Sea_II:_Electric_Boogaloo⠀⇛ Just what we need, more sprawl that more or less lacks the tax revenue to cover maintenance, and that's ignoring the terraforming costs required to make the sprawl possible, to say less of the externalities, such as where does all the brine go, or what happens to the hypothetical lakes when the funding dries up or the maintenance fails? Anyways, there are sure to be short-term spending and building benefits, and who wouldn't want such a résumé-enhancing project associated with their name? # ⚓ 🔤SpellBinding:_EGHLUPO_Wordo:_BODED⠀⇛ o § Technology and Free Software⠀➾ # ⚓ Getting_the_1st_token_generated_on_Tenstorrent_with_GGML⠀⇛ I've been working on integrating Tenstorrent cards into GGML for a while, since early this year, on and off. I was at MOPCON 2024 in Kaohsiung during the weekends. I'm more to just meet people then attending the actual talks. Out of not knowing what else to do late night, after a meetup with the Open Culture Foundation (they are awesome guys!), I was downing coffee at the hotel's lobby hacking away. Error messages comes and go. They change, but that happens all the time. It wasn't until a stroke of skepticism hit me. Looking at the wall of text, "llama.cpp prints the prompt yes, but what's the thing next to it".. Wait a second, OMG, llama.cpp generated a token. I AM GOOOOOD! # ⚓ New_tool_for_making_Atom_feeds_from_Gemini_posts⠀⇛ Today I've publishd a new tool on Github for making Atom feeds for gemlogs. It is a reimplementation of "gemfeed" but in Rust. I used gemfeed extensively in my personal gemlog setup: I have several gemlogs, including the notorious "Heterodox Technology" gemlog which autoposts five normally pretty darn good links every Sunday, doubtless to the fury of some Antenna subscribers. But gemfeed runs on Python; it doesn't place severe demands on Python, but nevertheless, some combination of setup.py and Python dist_utils and Debian and Ubuntu decided that whatever way I'd been using Python for the last 20 years was always a terrible idea and no longer supported. After two or three breakages of this kind, I figured Python is just not worth the effort any more, even though after a while I did research the problem and find that the usage patterns the maintainers want to ban rightly deserve to be banned - it's just too much hassle for this kind of thing to keep happening when I have alternatives. # ⚓ UCEPROTECTL3_is_so_dumb⠀⇛ 1. My specific IP, idiomdrottning.org, is green because it doesn’t send spam email. 2. Even nearby IPs happen to be green which yay awesome but that’s not something I can affect either way. 3. But since Akamai bought Linode and on the Akamai network as a whole there are spammers, I’ve been blocklisted on the “level three” list which has lead to some emails not getting through. # ⚓ The_Lappy,_Email,_XMPP,_and_Twtxt⠀⇛ So... I'm on my Dell Latitude again. I've got emulators set up, and Pico-8, and I'm back to using terminal apps for nearly everything. I've been learning Alpine for my email, set up slrn for keeping track newsgroups, filled newsboat with my RSS feeds (and elfeed for a backup), imported my lynx files from my Mac to use, converted my MP3s to OGG files and set up cmus, installed timidity and modplug-tools for the rest of my music, set up Emacs (of course)... Getting back into a lot of my old habits, while gaining some new ones. # ⚓ Monday-7⠀⇛ I can't tell you how much I'm enjoying some monitoring tools I created. They're almost certainly not what experts in the field would do: no comments in the code, probably not nearly enough reuse, purely for the command line, and so on. But, wow, I can't tell you how good I feel seeing the likes of the following accumulating in a tmux pane due to having started what I'm calling "link monitors" against specific links in the background: [...] =============================================================================== * Gemini_(Primer) links can be opened using Gemini_software. It's like the World Wide Web but a lot lighter. ䷩ 𝚕𝚒𝚗𝚎 4826 ╒═══════════════════ 𝐃𝐀𝐈𝐋𝐘 𝐋𝐈𝐍𝐊𝐒 ═════════════════════════════════════════════╕ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Links 28/10/2024: TSMC Blunder and Volkswagen Layoffs⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Oct 29, 2024 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Vintage_kitten_cats_art_old_antique_public_domain illustration_poster_postcard_painting_cute⦈_ 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈ § Contents⠀➾ * Leftovers o Science o Education o Hardware o Health/Nutrition/Agriculture o Proprietary/Artificial_Intelligence_(AI) o Security # Privacy/Surveillance # Confidentiality o Defence/Aggression o Environment # Energy/Transportation # Wildlife/Nature o AstroTurf/Lobbying/Politics o Censorship/Free_Speech o Freedom_of_Information_/_Freedom_of_the_Press o Civil_Rights/Policing o Internet_Policy/Net_Neutrality o Digital_Restrictions_(DRM) o Monopolies/Monopsonies # Trademarks # Right_of_Publicity # Copyrights * § Leftovers⠀➾ o ⚓ Matt Webb ☛ Colophon_(Interconnected)⠀⇛ I roll my own blogging system. Each post is a text file in a directory named for the date. Today the files use Markdown with some metadata at the top. For example, here’s the Markdown version of this post. This format pre-dates “Markdown front matter” popularised by Jekyll which is why it doesn’t look the same. I’ve been writing here since 2000. Pre 2012 the files are still in XML, originally output by blogger.com. o § Science⠀➾ # ⚓ 404 Media ☛ Who’s_this_Medieval_Dead_Guy_at_the_Bottom_of_a Castle_Well?⠀⇛ Sverris Saga, an Old Norse epic, is packed with tales of heroic feats, marriage alliances, dynastic feuds, and bloody battles during the life of Sverre Sigurdsson, who reigned as King of Norway from 1177 to 1202. In one passage, the King’s enemies successfully infiltrate Sverresborg Castle, his fortress in Trondheim, setting it ablaze and tossing a corpse into the drinking well and covering it with boulders. In 1938, workers excavating the ruins of Sverresborg Castle found human remains under boulders at the base of its well, raising the eerie question of whether this was the same corpse mentioned in Sverris Saga. Now, more than 800 years after the violent conquest of the fortress, scientists have conducted radiocarbon-dating and DNA-sequencing on the remains to find out. # ⚓ Science Alert ☛ This_Secret_Pattern_Hidden_in_Sudoku_Will Blow_Your_Mind⠀⇛ The Phistomefel Ring (or the Phistomefel Theorem) is beautifully illustrated in a video by Numberphile that you'll find embedded below. It's named after a German sudoku constructor, and as well as being a super-smart pattern of digits, might also help you solve these puzzles more quickly in the future. # ⚓ Science News ☛ Two_teenagers_have_once_again_proved_an ancient_math_rule⠀⇛ Two years ago, a couple of high school classmates each composed a mathematical marvel, a trigonometric proof of the Pythagorean theorem. Now, they’re unveiling 10 more. For over 2,000 years, such proofs were considered impossible. And yet, undeterred, Ne’Kiya Jackson and Calcea Johnson published their new proofs October 28 in American Mathematical Monthly. o § Education⠀➾ # ⚓ Ruben Schade ☛ Tech_work_satisfaction_and_fulfillment⠀⇛ I keep seeing articles in newspapers and journals that Zoomers and Millennials are wanting more from their employment than previous generations. I’m not sure that’s broadly true; nobody wants to get nothing from what they spend a significant amount of their lives on. But these generations do seem more vocal about it, at least based on the recruiters and managers I know in Singapore and Australia. # ⚓ Max Levchin ☛ To_build_a_meritocracy_—_too_long_to_tweet⠀⇛ Maybe, but how do you do better? High performance culture is pretty easy to define: a culture of individuals doing productive work for the company in the most efficient way possible and helping others do the same, while generally having a good time. But what do you actually do [sir] to have such a culture? And what do you not do? So I jotted down a few incomplete one-liners of what that means to me as Affirm’s founder and CEO. This list is neither exhaustive (I reserve the right to add and remove things here) nor is it even especially well-organized, but culture is like obscenity in Jacobellis v Ohio: you know it when you see it. # ⚓ The Nation ☛ These_3_States_Could_Use_Millions_in_Public School_Funding_for_Private_Schools⠀⇛ Campaigns around “school choice”—or the ability for parents to use funding originally allocated for their child’s public education for a private school instead—have attracted millions in political donations during the 2024 election cycle. While proponents argue that it gives them greater control over their child’s education, school choice can divert funding away from public schools and opens the door to using taxpayer money to fund private, religious education. # ⚓ Bertrand Meyer ☛ Blog_Archive_Europe_asleep_(a_key-not)_- Bertrand_Meyer's_technology+_blog⠀⇛ It is too easy, however, to cast all the blame on outsiders. Perhaps the most important message that I would have wanted to convey to the department heads, deans, rectors and other academic decision- makers attending ECSS this week is that we should stop looking elsewhere and start working on the problems for which we are responsible. Academia is largely self-governed. Even in centralized countries where many decisions are made at the national level in ministries, the staff in those ministries largely consists of academics on secondment to the administration. European academia — except in the more successful countries, already alluded to, and by the way not exempt either from some of the problems of their neighbors — is suffocating under the weight of absurd rules. It is fashionable to complain about the bureaucracy, but many of the people complaining have the power to make and change these rules. The absurdities are everywhere. In country A, a PhD must take exactly three years. (Oh yes? I thought it was the result that mattered.) By the way, if you have funding for 2.5 years, you cannot hire a PhD student (you say you will find the remaining funding in due time? What? You mean you are taking a risk?) In country B, you cannot be in the thesis committee of the student you supervised. (This is something bequeathed from the British system. After Brexit!) Countries C, D, E and F (with probably G, H, I, J and K to follow) have adopted the horrendous German idea of a “habilitation”, a second doctorate-like process after the doctorate, a very effective form of infantilization which maintains scientists in a subservient state until their late thirties, preventing them during their most productive years from devoting their energy to actual work. Universities everywhere subject each other to endless evaluation schemes in which no one cares about what you actually do in education and research but the game is about writing endless holier-than-thou dissertations on inclusiveness, equality etc. with no connection to any actual practice. In country L, politicized unions are represented in all the decision-making bodies and impose a political agenda, censoring important areas of research and skewing scientist hires on the basis of political preferences. In country M, there is a rule for every elementary event of academic life and the rule suffers no exception (even when you discover that it was made up two weeks earlier with the express goal of preventing you from doing something sensible). In country N, students who fail an exam have the right to a retake, and then a second retake, and then a third retake, in oral form of course. In country O, where all university presidents make constant speeches about the benefits of multidisciplinarity, a student passionate about robotics but with a degree in mechanical engineering cannot enroll in a master degree in robotics in the computer science department. In country P (and Q and R and S and T) students and instructors alike must, for any step of academic life, struggle with a poorly designed IT system, to which there is no alternative. In country U, expenses for scientific conferences are reimbursed six months later, when not rejected as non-conformant. In country V, researchers and educators are hired through a protracted committee process which succeeds in weeding out candidates with an original profile. In country W, the primer criterion for hiring researchers is the H-indez. In country X, it is the number of publications. I would need other alphabets but could go on. # ⚓ Robert Birming ☛ The_Silver_Lining⠀⇛ A friend of mine lost his job. He had been working there for five years and was very upset about the situation. My response was: "Congratulations." o § Hardware⠀➾ # ⚓ PC World ☛ 8_critical_tips_for_extending_your_robot vacuum's_life_expectancy⠀⇛ Fortunately, the steps to extending your vacuum’s lifespan are simple, and many are directly recommended by manufacturers. Here’s what you need to know to get the most out of your robo-cleaner. # ⚓ The Drone Girl ☛ BotLab_Dynamics_drone_show_broke_5_world records_in_13_minutes⠀⇛ How is this for tech in action? This one single drone show broke five Guinness World Records in less than 13 minutes. BotLab Dynamics, an India- based drone light show company, put on the show, which was created for the Amaravati Drone Summit 2024 in Vijayawada, Andhra Pradesh. The show, which took place on Oct. 22, 2024, featured 5,500 drones. Those drones flew into seven formations, most of which were strategically planned to check multiple Guinness World Record boxes. That include an aerial recreation of the Amaravati Buddha Stupa and an aerial depiction of the Indian tricolor flag. And while each formation was a feat in its own right, the performance stood out by setting five world records. o § Health/Nutrition/Agriculture⠀➾ # ⚓ Antivaxxers_launch_a_frontal_assault_on_the_Killer_Rabbit of_plasmids⠀⇛ I admit that the title of this post might be straining an analogy a bit in the service of my love of old Monty Python sketches and movies, but what can I say? I first encountered them in the 1970s on late night PBS when I was a teenager, and they stuck with me. Also, it sort of reminds me of how antivaxxers keep coming back again and again to attack something about vaccines that they have mistakenly or falsely convinced themselves to be a the enemy, something that (to them) makes vaccines horrifically dangerous. The problem is that they don’t possess a Holy Hand Grenade of Antioch to destroy this particular killer rabbit, or, if they do, they proceed to count to five and blow themselves up, instead of the Killer Rabbit of Caerbannog. Such was my nostalgia-fueled take when I encountered yet another antivax screed about the dreaded “plasmid DNA in vaccines”—and SV40, too!—from one of the most inaptly named antivax Substack bloggers of all, the self-proclaimed 2nd Smartest Guy in the World (or, as I like to call him, 2ndSGitW). Yes, antivaxxers are launching another frontal assault on the Killer Rabbit of Plasmids, and, yes, they shouldn’t, because that rabbit’s dynamite. # ⚓ Bridge Michigan ☛ Up_to_3.2M_in_Michigan_may_be_getting water_from_PFAS-tainted_aquifers⠀⇛ Up to 3.2 million Michiganders get their water from aquifers containing detectible amounts of PFAS, according to a new federal report That’s 1-in- 3 state residents, a stat that highlights the prevalence of both household wells and polluting industries in Michigan # ⚓ Omicron Limited ☛ AI_algorithm_accurately_detects_heart disease_in_dogs⠀⇛ The research team, led by the University of Cambridge, adapted an algorithm originally designed for humans and found it could automatically detect and grade heart murmurs in dogs, based on audio recordings from digital stethoscopes. In tests, the algorithm detected heart murmurs with a sensitivity of 90%, a similar accuracy to expert cardiologists. # ⚓ USMC ☛ Marine_gender_study_reveals_importance_of_‘explosive strength’⠀⇛ The 700-page, $2 million study, commissioned by the Marine Corps and completed by the University of Pittsburgh, was completed in summer 2022 and released to Military Times several months later in response to a Freedom of Information Act request. This summer, after a lengthy publication review process, the study’s key findings were published in a special issue of the journal Military Medicine. # ⚓ Lou Plummer ☛ Inevitable_Things⠀⇛ I have got to say that I enjoy having been around enough to be retired from my career job. It's cool going to work these days because I want to, not because I have to. I could stop at any time. That's pretty empowering. It makes the crappy days that inevitably happen at work more bearable. I'm not even the oldest person in my office. Our database manager is three years my senior, and she takes no shit from anyone. She's my role model. o § Proprietary/Artificial Intelligence (AI)⠀➾ # ⚓ The Verge ☛ Gmail_will_now_help_you_write_an_email_on_the web_with_AI⠀⇛ On mobile, the option will replace the existing “Refine my draft” shortcut. Instead of swiping to see options to polish, formalize, elaborate, or shorten an email, the app will automatically refine the message when the “polish” shortcut is swiped. Users can then tweak the message further with Google’s other AI editing tools. # ⚓ Wired ☛ AI_Slop_Is_Flooding_Medium⠀⇛ Earlier this year, WIRED asked AI detection startup Pangram Labs to analyze Medium. It took a sampling of 274,466 recent posts over a six-week period and estimated that over 47 percent were likely AI- generated. “This is a couple orders of magnitude more than what I see on the rest of the internet,” says Pangram CEO Max Spero. (The company’s analysis of one day of global news sites this summer found 7 percent as likely AI-generated.) The strain of slop on Medium tends toward the banal, especially compared with the dadaist flotsam clogging Facebook. Instead of Shrimp Jesus, one is more apt to see vacant dispatches about cryptocurrency. The tags with the most likely AI- generated content included “NFT”—out of 5,712 articles tagged with this phrase over the last several months, Pangram found that 4,492, or around 78 percent, came back as likely AI-generated—as well as “web3,” “ethereum,” “AI,” and, for whatever reason, “pets.” # ⚓ Stefan Grund ☛ OnlyFans_>_Spotify⠀⇛ Imagine being an artist and having nearly 8 million monthly listeners on Spotify but earning more money from having 1,000 people subscribe to pictures of your feet. # ⚓ Pivot to AI ☛ Kunlun’s_Melodio_and_Mureka_AI_slop_music_— hear_the_audio_samples_–_Pivot_to_AI⠀⇛ Music slop from Melodio will probably do for someone. Would they pay for it? We doubt it. AI music being up to “yeah, it’ll do” is an interesting achievement — but it won’t give the slop cultural or even subcultural resonance. So we think music is no more unsafe than it was already. # ⚓ Society for Scholarly Publishing ☛ Silverchair_Buys ScholarOne_from_Clarivate⠀⇛ Manuscript submission and peer review management is not the sleepy category that an unfamiliar observer might imagine. It’s at the forefront of publisher efforts to transform the author experience in an open access environment while addressing the publisher imperative to screen out problematic submissions that threaten research integrity. It has also grown to incorporate conference management, both traditional conferences and in some cases virtual/hybrid conferences. o § Security⠀➾ # § Privacy/Surveillance⠀➾ # ⚓ EFF ☛ Cop_Companies_Want_All_Your_Data_and_Other Takeaways_from_This_Year’s_IACP_Conference⠀⇛ IACP, held Oct. 19 - 22 in Boston, brings together thousands of police employees with the businesses who want to sell them guns, gadgets, and gear. Across the four-day schedule were presentations on issues like election security and conversations with top brass like Secretary of Homeland Security Alejandro Mayorkas. But the central attraction was clearly the trade show floor.  Hundreds of vendors of police technology spent their days trying to attract new police customers and sell existing ones on their newest projects. Event sponsors included big names in consumer services, like Amazon Web Services (AWS) and Verizon, and police technology giants, like Axon. There was a private ZZ Top concert at TD Garden for the 15,000+ attendees. Giveaways — stuffed animals, espresso, beer, challenge coins, and baked goods — appeared alongside Cybertrucks, massage stations, and tables of police supplies: vehicles, cameras, VR training systems, and screens displaying software for recordkeeping and data crunching. # ⚓ The Strategist ☛ Encrypted_messaging_apps:_a persistent_challenge_in_fighting_organised_crime⠀⇛ Ghost represented a significant leap in the technological capabilities of organised crime. Allegedly developed by Jung as a business venture, it facilitated a range of illicit activities, from drug and weapons trafficking to money laundering. An estimated 800 devices were in circulation globally, 376 of which in Australia. Disguised as standard smartphones, they allowed users to create anonymous profiles and communicate securely. The breadth of activities coordinated through Ghost reinforces the escalating sophistication of organised crime groups and, just as importantly, their ability to adopt and operationalise new technology. # ⚓ DJ Bernstein ☛ 2024.10.28:_The_sins_of_the_90s⠀⇛ The talk says that, in the 1990s, "cryptosystems were still classified as munitions and subject to strict export controls". The talk describes the "crypto wars" as "a series of legal battles, campaigns, and policy debates that played out in the US across the 1990s", resulting in "the liberalization of strong encryption in 1999", allowing people to "develop and use strong encryption without being subject to controls". OK, that sounds familiar. Which parts are the "sins"? Answer: the talk claims that "the legacy of the crypto wars was to trade privacy for encryption—and to usher in an age of mass corporate surveillance". Wow. That sounds bad, and surprising, definitely something worth understanding better. If cryptographic export controls had instead remained in place after 1999, how would that have improved privacy and reduced corporate surveillance? Answer: the talk claims that, without strong cryptography, "the metastatic growth of SSL- protected commerce and RSA-protected corporate databases would not have been possible". Wait, what? Let's look at the facts. # § Confidentiality⠀➾ # ⚓ [Old] Cisco Systems Inc ☛ The_Quantum_Threat:_Options for_Migrating_to_Quantum_Safe_Cryptography⠀⇛ Like porridge, you don’t want to be too hot or too cold on migration. But what is “just right”? • Moving too soon will be challenging. You’ll be doing a lot of the implementation yourself, and you could be left without interoperability if you move before the ecosystem does. • Moving too late, you could very well be vulnerable to the quantum threat. Here’s what “just right” looks like to me: doing an assessment now, prioritising assets and being ready for a migration on your critical systems, products and data. And then doing nothing, except occasionally refreshing that assessment, and channelling your security energies elsewhere. # ⚓ [Old] Cisco Systems Inc ☛ Quantum-Safe_Cryptography_& Standards:_QSC,_PQC,_QKD_&_More!⠀⇛ Quantum computing is an entire field unto itself, and not something we can define in simple terms. The good news is that we can define quantum-safe cryptography! QSC refers to algorithms that cannot be cracked or weakened by a quantum computer (QC). Today, quantum-safe cryptography encompasses two types post-quantum cryptography and quantum key distribution. (For more on terminology and distinctions, do check out this excellent proposed standard on the subject.) There’s one important distinction I have to make: When I talk about “quantum”, I’m almost surely talking about post-quantum cryptography (PQC). When other people talk about “quantum”, they sometimes mean quantum key distribution (QKD). So let’s clear up this point: [...] o § Defence/Aggression⠀➾ # ⚓ RFERL ☛ NATO_Confirms_North_Korean_Troops_In_Russia,_Says It_Shows_Putin's_'Desperation'⠀⇛ Speaking in Brussels on October 28, NATO chief Mark Rutte called the move a "significant escalation" in Russia's full-scale invasion of Ukraine and said it shows Russian President Vladimir Putin's "desperation" after "more than 600,000 Russian soldiers have been killed or wounded" in the war. # ⚓ El País ☛ Hero_rats_save_lives_in_Angola:_Trained_rodents detect_mines_for_people_to_farm_again⠀⇛ They have been here since the civil war that ravaged Angola for almost three decades, from 1975 to 2002, and they still cause serious injuries to the population. That is why a team of workers from different parts of the country, with international participation, is dedicated to deactivating and removing the explosives, to transform the de-mined land into farms for residents. On the plot where the presence of reptiles was reported, Japanese and Belgian funds, through the NGO APOPO, are channelled to clear the land of hidden threats, including missiles or shrapnel. To do this, the team have metal detectors and the help of specially trained rats. # ⚓ The Atlantic ☛ The_Next_‘Stop_the_Steal’_Movement_Is_Here⠀⇛ Given that the MAGA right seeded election denialism after Trump lost his bid for the presidency in 2020, such claims are not surprising. Some kind of “Stop the Steal” redux has long seemed almost inevitable. Less obvious is what the downstream impacts will be. Claims that noncitizens are voting have already led to the erroneous removal of registered voters from the polls, as seen in Texas, but other effects are less clear. Intelligence officials have warned that they anticipate violence around the election. But what does that actually look like, especially if Trump loses? # ⚓ The Hill ☛ U.S._Intelligence_Alert:_Extremists_May_Disrupt 2024_Elections⠀⇛ Domestic violent extremists are considering a range of activities to disrupt the 2024 election and the peaceful transfer of power, with U.S. intelligence agencies seeing greater discussions around a future civil war and plans to destroy ballot drop boxes. # ⚓ The Atlantic ☛ Why_Does_Elon_Musk_Still_Have_a_Security Clearance?⠀⇛ Which brings me to Elon Musk, who runs SpaceX, America’s private space contractor and an organization presumably full of people with clearances. (I emailed SpaceX to ask how many of its workers have clearances. I have not gotten an answer.) Trump is surrounded by people who shouldn’t be given a clearance to open a checking account, much less set foot in a highly classified environment. But Musk has held a clearance for years, despite ringing the insider-threat bells louder than a percussion maestro hammering a giant glockenspiel. # ⚓ Nebraska Examiner ☛ Arson_destroys_hundreds_of_ballots inside_a_Washington_state_drop_box⠀⇛ “It’s heartbreaking. It’s a direct attack on democracy,” said Clark County Auditor Greg Kimsey. Kimsey said hundreds of ballots were destroyed. It was not immediately known exactly how many ballots were burned or damaged. The FBI is among the agencies investigating the incident. # ⚓ Michigan Advance ☛ Worries_grow_about_disinformation,_false claims_and_even_violence_as_election_nears⠀⇛ A pro-democracy organization warned Monday that disinformation and violent rhetoric could make the weeks that follow Election Day especially fraught, pushing the country past the upheaval that arose four years ago during the last presidential transition. # ⚓ NBC ☛ Extremists_inspired_by_conspiracy_theories_pose_major threat_to_2024_elections,_U.S._intelligence_warns⠀⇛ U.S. intelligence agencies have identified domestic extremists with grievances rooted in election- related conspiracy theories, including beliefs in widespread voter fraud and animosity toward perceived political opponents, as the most likely threat of violence in the coming election. In a Joint Intelligence Bulletin that was not distributed publicly but was reviewed by NBC News, agents from the FBI and the Department of Homeland Security warn state and local law enforcement agencies that domestic violent extremists seeking to terrorize and disrupt the vote are a threat to the election and throughout Inauguration Day. # ⚓ JURIST ☛ Netherlands_PM_to_tighten_permits_and_border controls_amid_'asylum_crisis'⠀⇛ Netherlands Prime Minister Dick Schoof announced on Friday his plan to limit temporary asylum permits to a maximum of three years and to introduce new border controls next month. Schoof said the cabinet had reached an agreement to alleviate the “asylum crisis” after the Council of Ministers meeting. # ⚓ Alabama Reflector ☛ Philadelphia_DA_Larry_Krasner_sues_to stop_Elon_Musk_$1_million_voter_sweepstakes⠀⇛ Krasner, a Democrat, filed the civil suit on behalf of the commonwealth in Philadelphia’s Court of Common Pleas alleging that the sweepstakes runs afoul of the state law that gives the state sole authority to operate a lottery and violates Pennsylvania’s consumer protection laws. “To be clear, this is not a case about whether Defendants have violated state or federal laws prohibiting vote-buying. Instead, this case is very simple because America PAC and Musk are indisputably violating Pennsylvania’s statutory prohibitions against illegal lotteries and deceiving consumers,” the lawsuit says. # ⚓ NPR ☛ Philadelphia_DA_sues_Elon_Musk_over_$1_million giveaway_to_registered_voters⠀⇛ “America PAC and Elon Musk are running an illegal lottery in Philadelphia (as well as throughout Pennsylvania),” the suit said. “In other words, America PAC and Musk are lulling Philadelphia citizens – and others in the Commonwealth (and other swing states in the upcoming election) – to give up their personal identifying information and make a political pledge in exchange for the chance to win $1 million. That is a lottery.” # ⚓ NPR ☛ Ballots_set_on_fire_in_three_states_as_Election_Day approaches⠀⇛ In the final stretch before Election Day, ballots have been set on fire and damaged in two ballot drop boxes and a Postal Service mailbox in three states. Federal officials have warned that in recent months, some social media users have encouraged sabotage of ballot drop boxes. # ⚓ Task And Purpose ☛ Military_absentee_ballots_in Pennsylvania_could_be_caught_in_lawsuit⠀⇛ The Republican congressmen say that Pennsylvania should not count any overseas absentee votes — including military votes — without directly verifying the identity of the voter behind the ballot. But Pennsylvania officials along with state and national Democrats say that Pennsylvania’s process for absentee ballots complies with federal law and has been in place for numerous elections with virtually no sign that illegal or otherwise invalid votes have been counted. One veterans group argues that any last-minute change would throw out thousands of votes cast correctly by military members overseas. # ⚓ NL Times ☛ Russia_and_China_are_"intensifying"_cyber attacks_on_the_Netherlands,_NCTV_warns⠀⇛ Russia and China are stepping up their cyber attacks on the Netherlands and its allies, warned the National Coordinator for Counter-Terrorism and Security (NCTV). They are “intensifying and broadening” their attacks. China is no longer limiting itself to espionage but also seems to be preparing for sabotage. In addition, new countries are joining the cyber risks front. Aggressive countries like Russia and China are using an increasingly broad arsenal of cyber weapons, said NCTV Pieter-Jaap Aalbersberg in his annual review of the Netherlands’ digital security. Moreover, according to this Cybersecurity Image, they are increasingly hiring companies and hacktivists. # ⚓ VOA News ☛ Around_40_killed_in_Chad_in_jihadist_attack_on army⠀⇛ A vast expanse of water and swamps, Lake Chad's countless islets serve as hideouts for jihadist groups, such as Boko Haram and its offshoot Islamic State in West Africa (ISWAP), who make regular attacks on the countries' army and civilians. Boko Haram launched an insurgency in Nigeria in 2009, leaving more than 40,000 people dead and displacing two million, and the organization has since spread to neighboring countries. # ⚓ VOA News ☛ For_Japanese_Unit_731_survivor,_speaking_truth carries_a_cost ⠀⇛ For decades, Shimizu kept his past hidden, not even telling his wife or the two daughters they raised together in a quiet corner of the Japanese Alps. But now, at 94, he is not remaining silent. Though not directly involved in the atrocities, Shimizu is speaking out about his experience with Unit 731, recently returning to China to apologize in person. # ⚓ Common Dreams ☛ Further_|_Fascism!_(Again)_|_Opinion⠀⇛ Replicating another racist, toxic, unnerving hate fest 75 years ago, Trump held a vitriolic rally Sunday in New York vowing to end "the migrant invasion of our country." His best people echoed him: Puerto Rico is "a floating island of garbage," Harris "the devil," and Dems "degenerates (we) need to slaughter" to create what his Goebbels calls an "America for Americans, and Americans only." In 1945, the feds sent pamphlets to World War ll soldiers to explain what "fascism" is. Now, we should know. # ⚓ Crooked Timber ☛ The_end_of_US_democracy:_a_flowchart⠀⇛ There’s not much I can do about it, but I still spend a lot of time thinking about what I, and others outside the US, should do if that country ceases to be a democracy. But, it doesn’t seem as if lots of other people are thinking this way. One possibility is that people just don’t want to think about it. Another, though, is that I’ve overestimated the probability of this outcome. To check on this, I set up a flowchart using a free online program called drawio. Here's what I came up with # ⚓ Task And Purpose ☛ The_Army_once_planned_for_an_armed_base on_the_Moon⠀⇛ In the early years of the Cold War, with the Space Race heating up, weapons testing ongoing and proxy conflicts raging around the world, the United States Army decided it needed to take a decisive step for national security. The plan? Conquer the Moon. Or at the very least establish a forward operating base on the lunar surface. This was a very real plan considered by the Army. In fact, the Army wanted a nuclear-powered intelligence base on the lunar surface in the middle of the 1960s, staffed by 12 soldiers who would be armed with several types of space weapons, including guns derived from claymores. ‘Project Horizon, A U.S. Army Study for the Establishment of a Lunar Military Outpost’ was a 1959 study by the Army Ballistic Missile Agency looking into this very real proposal that the military was considering. # ⚓ CS Monitor ☛ Why_NKorea_is_sending_troops_to_Ukraine_–_and how_it_risks_an_‘escalation_spiral’⠀⇛ “Those people might be somewhat pacified if North Koreans are being used in place of disproportionately used minorities,” he says. Some 600,000 Russians have been killed or wounded in the war, by U.S. estimates. # ⚓ Haaretz ☛ Under_Its_Fearless_Editor,_Lebanese_Newspaper_An- Nahar_Maintains_Its_Opposition_to_Syria,_Hezbollah_and Iranian_Influence⠀⇛ The atmosphere in Beirut was tense after the assassination of former Lebanese Prime Minister Rafik Hariri in February 2005. The public blamed Syria. Demonstrators took to the streets, calling for Syrian forces to get out of Lebanon and for an international investigation into the killing. On June 2, journalist Samir Kassir, who worked at the An-Nahar newspaper and had been critical of Syria's involvement in Lebanon, was murdered. o § Environment⠀➾ # ⚓ MIT Technology Review ☛ AI_will_add_to_the_e-waste_problem. Here’s_what_we_can_do_about_it.⠀⇛ Depending on the adoption rate of generative AI, the technology could add 1.2 million to 5 million metric tons of e-waste in total by 2030, according to the study, published today in Nature Computational Science. “This increase would exacerbate the existing e- waste problem,” says Asaf Tzachor, a researcher at Reichman University in Israel and a co-author of the study, via email. # ⚓ The Local SE ☛ Risk_to_Nordic_countries_of_Gulf_Stream collapse_is_'seriously_underestimated'⠀⇛ In addition, they wrote, a series of new papers have been published which indicate that the risk was higher than previously thought. "Recent research since the last IPCC report does suggest that the IPCC has underestimated this risk and that the passing of this tipping point is a serious possibility already in the next few decades," they wrote. # § Energy/Transportation⠀➾ # ⚓ Renewable Energy World ☛ Iowa_company_recycles_rare earth_materials_from_wind_turbines,_electronics⠀⇛ Most recycling facilities extract things like copper and aluminum from the same scraps, but few know how to break down the batteries, meaning those rare earth material components are often lost. Rare earth materials are a series of elements with properties like conduction or magnetism that make them essential to electronics. They’re also part of the 10%-15% of wind turbine materials that are not currently recycled. # ⚓ Los Angeles Times ☛ Lithium-ion_batteries_causing fires,_dangers_on_California_freeways⠀⇛ For more than two days, a vital shipping passageway in the Port of L.A. was shut down, and the cause was surprising to some. A big rig overturned, sparking a fierce lithium-ion battery blaze that spewed toxic gases, snarled port traffic and resulted in what one official said was massive economic losses from delayed shipments. # ⚓ Tech Central (South Africa) ☛ Big_fight_looming_over Free_State_solar_farm⠀⇛ The dispute highlights South Africa’s transition from dependence on coal to a wider range of technologies including natural gas, nuclear and renewable energy projects. The country is forecast to add 50GW of wind and solar stations by 2030 to replace some of the generation from the world’s dirtiest fossil fuel. # ⚓ Pi My Life Up ☛ Connecting_Enphase_to_Home Assistant⠀⇛ Enphase is a brand of solar microinverters and batteries. While one of the pricier solar power solutions, they are known for being of high quality. As part of a typical Enphase solar installation, you would have had an Enphase Envoy installed. This device tracks the power production of your system. Depending on how this system has been wired into your house, it can also track your house’s power consumption. # § Wildlife/Nature⠀➾ # ⚓ The Revelator ☛ Environmental_Muralist_Faunagraphic Brings_an_Urban_Oasis_to_the_Concrete_Jungle⠀⇛ # ⚓ New York Times ☛ If_You_Think_You_Can_Hold_a_Grudge, Consider_the_Crow⠀⇛ Ms. Joyce is far from alone in fearing the wrath of the crow. CrowTrax, a website started eight years ago by Jim O’Leary, a Vancouver resident, has since received more than 8,000 reports of crow attacks in the leafy city, where crows are relatively abundant. And such encounters stretch well beyond the Pacific Northwest. o § AstroTurf/Lobbying/Politics⠀➾ # ⚓ Reuters ☛ TSMC_suspended_shipments_to_China_firm_after_chip found_on_Huawei_processor,_sources_say⠀⇛ Taiwan Semiconductor Manufacturing Company (2330.TW) , opens new tab suspended shipments to China-based chip designer Sophgo after a chip it made was found on a Huawei AI processor, according to two people familiar with the matter. Sophgo had ordered chips from TSMC that matched the one found on Huawei's Ascend 910B, the people said. Huawei is restricted from buying the technology to protect U.S. national security. Reuters could not determine how the chip ended up on the Huawei product. # ⚓ Inside Towers ☛ White_House_Issues_Guidance_for_National Security_Use_of_AI_-_Inside_Towers⠀⇛ As part of formally designating NIST’s AISI, the NSM lays out strengthened and streamlined mechanisms for the institute to partner with national security agencies, including the intelligence community, the Department of Defense, and the Department of Energy. The memo calls on the AISI to collaborate with industry to test frontier AI models that might pose a threat to national security and issue guidance on a variety of topics. # ⚓ The Register UK ☛ WordPress_demands_conf_organizers_share social_media_logins⠀⇛ Organisers of WordCamps, community-organized events for WordPress users, have been ordered to take down some social media posts and share their login credentials for social networks. The order to share creds came from an employee of Automattic, the WordPress host whose CEO happens to be Matt Mullenweg, co-creator of WordPress. A letter sent to WordCamp organizers explains that the creds are needed due to "recurrent issues with new organizing teams losing access to the event's social media accounts." # ⚓ R Scott Jones ☛ Content_creators_vs_influencers⠀⇛ In my mind, content creators and influencers are quite different things. People can choose—and often do—to play both roles, but that doesn’t mean they’re the same thing. Both roles produce “content” to generate an audience, but for entirely different reasons. # ⚓ The Washington Post ☛ Volkswagen_may_close_plants_in Germany_for_first_time_in_its_history⠀⇛ Europe’s largest car manufacturer and Germany’s biggest employer intends to shut at least three of its 10 factories, permanently reduce staff at its remaining production sites and slash pay by 10 percent, Daniela Cavallo, chair of Volkswagen’s works council, told employees in Wolfsburg, Germany, according to a transcript seen by The Washington Post. # ⚓ [Old] BBC ☛ Trial_of_ex-VW_boss_begins_over_'dieselgate' emissions_scandal⠀⇛ Martin Winterkorn was chief executive of the German company in 2015 when it was engulfed in a scandal that sent shockwaves through the entire industry. It emerged the company had been deliberately manipulating official emissions checks, building cars that could pass laboratory tests while producing illegal levels of pollution in daily use. # ⚓ Tech Central (South Africa) ☛ Nvidia_overtakes_Apple_as world's_most_valuable_company⠀⇛ Nvidia’s stock market value briefly touched $3.53- trillion, slightly above Apple’s $3.52 trillion, LSEG data showed. Nvidia ended the day up 0.8%, with a market value of $3.47-trillion, while Apple’s shares rose 0.4%, valuing the iPhone maker at $3.52-trillion. # ⚓ India Times ☛ Microsoft's_AI_demand_under_scrutiny_as investors_seek_payday⠀⇛ Microsoft is expected to report its slowest quarterly revenue growth in a year on Wednesday, while investors await signs of AI demand amid growing worries about the slow payoff from hefty investments in the technology. # ⚓ The Register UK ☛ Microsoft_reshuffles_execs_in_EMEA⠀⇛ Microsoft has reshuffled its EMEA team, moving Clare Barclay from UK CEO to president of enterprise and industry, EMEA, while effectively swapping roles with Darren Hardman. Barclay, who has worked for Microsoft in the UK since 1998, was also appointed chair of the UK’s industrial strategy group last week. Microsoft said that as CEO of Microsoft UK, Barclay had built notable partnerships associated with its AI products, including arrangements with the London Stock Exchange Group, telco Vodafone and retailer Sainsbury’s. # ⚓ Semafor Inc ☛ Volkswagen_to_cut_Germany_footprint_amid broader_industry_struggles⠀⇛ The Wolfsburg-based automaker will reportedly close three German plants and reduce the size of its other factories in the country, and will lay off tens of thousands of employees, the representatives said. # § Misinformation/Disinformation/Propaganda⠀➾ # ⚓ The Verge ☛ Meta_is_reportedly_working_on_its_own_AI- powered_search_engine,_too⠀⇛ The Meta AI bot built into Instagram and Facebook currently uses Google — whose parent company, Alphabet, will report quarterly earnings tomorrow — and Microsoft Bing to answer questions about recent news and events. # ⚓ The Record ☛ EU_president_denounces_Russian_influence campaigns_targeting_Western_Balkans⠀⇛ Speaking at a press conference in Kosovo this weekend — part of her trip to aspiring European Union member states in the region — von der Leyen emphasized that the EU is working daily to debunk misinformation and expose Russian propaganda “for the benefit of the whole region.” “We see that Russia is trying to spread its false narrative without success, and that it is possible for us to stand up with the truth, with transparency, and with very clear messaging,” she added. # ⚓ Nebraska Examiner ☛ Worries_grow_about disinformation,_false_claims_and_even_violence_as election_nears⠀⇛ The comments from three members of the Defend Democracy Project came just days before voting ends on Nov. 5, though with several races extremely close, the country may not know for days who won the presidential contest as well as control of Congress. That could leave considerable space for speculation as state election workers count mail-in ballots and potentially undertake full recounts, similar to four years ago. “I think the biggest vulnerability will continue to be the mis- and disinformation that will happen in the aftermath of the election,” said Olivia Troye, who previously worked for Vice President Mike Pence as a special adviser on homeland security and counterterrorism. # ⚓ Wired ☛ Cybercriminals_Pose_a_Greater_Threat_of Disruptive_US_Election_Hacks_Than_Russia_or_China⠀⇛ Russian, Chinese, and Iranian state-backed hackers have been active throughout the 2024 United States campaign season, compromising digital accounts associated with political campaigns, spreading disinformation, and probing election systems. But in a report from early October, the threat-sharing and coordination group known as the Election Infrastructure ISAC warned that cybercriminals like ransomware attackers pose a far greater risk of launching disruptive attacks than foreign espionage actors. # ⚓ Michigan Advance ☛ Lying,_liars,_and_the_lies_that they_tell⠀⇛ When politicians and public figures lie to us, they are tacitly calling us stupid and weak. Stupid enough to believe their lies; weak enough to accept them. As such, lying is a contemptuous act. Humans are social creatures. Lying is anti-social, and a debasement of both human nature and the trust and order on which we have built civilization. You can’t conduct a sustainable business built on lies. You can’t build a home based on false measurements. # ⚓ Kansas Reflector ☛ ‘Firehose’_of_election_conspiracy theories_floods_final_days_of_the_campaign⠀⇛ Fanned by former President Donald Trump and notable allies such as tech tycoon Elon Musk, election disinformation is warping voters’ faith in the integrity of the democratic process, polls show, and setting the stage once again for potential public unrest if the Republican nominee fails to win the presidency. At the same time, federal officials are investigating ongoing Russian interference through social media and shadow disinformation campaigns. The “firehose” of disinformation is working as intended, said Pamela Smith, president and CEO of Verified Voting, a nonpartisan group that advocates for responsible use of technology in elections. “This issue is designed to sow general distrust,” she said. “Your best trusted source is not your friend’s cousin’s uncle that you saw on Twitter. It’s your local election official. Don’t repeat it. Check it instead.” o § Censorship/Free Speech⠀➾ # ⚓ ANF News ☛ Imprisoned_Iranian_Nobel_Peace_Prize_winner Narges_Mohammadi_taken_to_hospital⠀⇛ The years of imprisonment and solitary confinement had seriously damaged his wife's health and required prolonged treatment, wrote Rahmani, and again called for Mohammadi's immediate release. He did not provide any further details about her health. Mohammadi suffers from heart failure. However, it remained unclear when and where Mohammadi was taken to the hospital and how long the 52-year-old activist will be treated there. # ⚓ New York Times ☛ Iran_Executes_Jamshid_Sharmahd,_German- Iranian_Opponent_Who_Lived_in_U.S.⠀⇛ Mr. Sharmahd had permanent U.S. residency and was living in California at the time of his seizure. He operated the website of Kingdom Assembly of Iran, a little-known group also known as Tondar, and made videos claiming that the group was arming people to fight against Iran. The group is committed to overthrowing the government in Tehran and restoring the monarchy, and it has taken responsibility for attacks in Iran. # ⚓ Hindustan Times ☛ Jeff_Bezos_breaks_silence_over_WaPo's non-endorsement_after_200k_subscribers_cancelled_the_brand⠀⇛ According to NPR's recently updated report on how things have been faring at the publication, over 200,000 WaPo readers cancelled their digital subscriptions in light of the eyebrow-raising, unconventional decision. At the same time, the media outlet is also experiencing an internal upheaval, with a few opinion section staffers resigning from their posts. Bezos’ statement came hours after three editorial board members stepped down over the publication’s decision not to politically back Vice Presidential Kamala Harris’ presidential bid. A source privy to details of a previously planned endorsement of Democratic presidential hopeful Kamala Harris told CNN on Friday that the draft had ultimately been scratched. The resulting response was indisputably uproarious. Former Post executive editor Marty Baron, who helmed the paper's charge under Bezos-led operations during the first Trump administration denounced the move as one reflecting “cowardice.” # ⚓ Crooked Timber ☛ Washington_Post_cancellations⠀⇛ As of an hour ago, Jeff Bezos posted an editorial on WaPo talking about how Americans don’t trust the media. Okay, but the 200,000+ people who cancelled their subscription on Friday presumably trusted WaPo enough to pay for it until last Friday. As noted by David Folkenflik at NPR, if a paper wants to stop endorsing political candidates, fine, but making that announcement less than two weeks before a presidential election is not a convincingly neutral stance. Do it a year or two out and few will raise major concerns. Do it at this point in time and lose a big chunk of your subscriber base, not because we didn’t trust you to provide good news coverage, but because what you did here was spineless. # ⚓ NPR ☛ Over_200,000_subscribers_flee_'Washington_Post'_after Bezos_blocks_Harris_endorsement⠀⇛ The Washington Post has been rocked by a tidal wave of cancellations from digital subscribers and a series of resignations from columnists, as the paper grapples with the fallout of owner Jeff Bezos’s decision to block an endorsement of Vice President Kamala Harris for president. # ⚓ The Hill ☛ Washington_Post_loses_over_200,000_subscribers over_endorsement_outrage:_report⠀⇛ The decision not to endorse reportedly was made by Jeff Bezos, the newspaper’s billionaire owner, after its editorial board had already drafted and was planning to publish an editorial backing Vice President Harris. The decision has led to a handful of resignations, while scores of Post subscribers have taken to social media to share their decision to cancel a subscription. Many of those doing so have noted the newspaper’s “democracy dies in darkness” motto. # ⚓ NPR ☛ 'Washington_Post'_flooded_by_cancellations_after Bezos'_non-endorsement_decision⠀⇛ More than 200,000 people had canceled their digital subscriptions by midday Monday, according to two people at the paper with knowledge of internal matters. Not all cancellations take effect immediately. Still, the figure represents about 8% of the paper’s paid circulation of roughly 2.5 million subscribers, which includes print as well. The number of cancellations continued to grow Monday afternoon. A corporate spokesperson declined to comment, citing The Washington Post Co.'s status as a privately held company. o § Freedom of Information / Freedom of the Press⠀➾ # ⚓ VOA News ☛ UN_body_says_Vietnam_is_unlawfully_detaining journalist⠀⇛ The 58-year-old journalist is being held in a prison in Dong Nai province. Pham, a contributor to VOA Vietnamese, is also the founder and head of the Independent Journalists Association of Vietnam, or IJAVN. The group advocates for democracy, freedom of the press and expression, and against corruption in Vietnam. In the indictment against Pham, authorities described the IJAVN as “illegal.” # ⚓ Meduza ☛ For_10_years,_we’ve_fought_censorship_to_bring_you the_truth_about_Russia_To_celebrate_this_milestone,_we’re sharing_20_things_you_probably_didn’t_know_about_Meduza⠀⇛ For the past 10 years, we’ve covered Russia and beyond, despite the Kremlin’s ongoing efforts to silence us. To mark this milestone, we wanted to share a bit about ourselves with you, our readers. Over the past few days, you may have noticed a few pop-ups with these stories — funny, heartwarming, and sometimes difficult moments. Now, we’ve gathered them here so you can read them all in one place. o § Civil Rights/Policing⠀➾ # ⚓ New York Times ☛ Opinion_|_Trump’s_Biggest_Con:_Pretending to_Support_American_Workers⠀⇛ The truth is that to the extent that Trump’s policy plans — or, in some cases, concepts of plans — differ from G.O.P. orthodoxy, it’s because they are even more antilabor and pro-plutocrat than his party’s previous norm. Background: Since the 1970s our two main political parties have diverged sharply on economic ideology. In general, Democrats favor higher taxes on the rich and a stronger social safety net; Republicans favor lower taxes on corporations and the wealthy paid for in part by cutting social programs. # ⚓ SBS ☛ The_charts_that_show_why_owning_a_house_is_out_of reach_for_many_Australians⠀⇛ However, by his admission, Albanese is in a far "more privileged financial position" than most Australians as a recipient of a public salary for close to three decades. The wage price index, measuring median wage changes over time, has increased by 24 to 30 per cent — depending on where you live — over the past decade, according to the Australian Bureau of Statistics. # ⚓ YLE ☛ Food_couriers_demand_better_pay_and_working conditions⠀⇛ Nkunda noted that the fee Wolt pays to couriers for food deliveries has gradually decreased, from 4- 5 euros per delivery a few years ago to 3.20 euros today. "Next year it may be closer to two euros. Perhaps after that, closer to one euro. We are really concerned about this," he said, adding that making a decent living as a courier is becoming increasingly difficult. o § Internet Policy/Net Neutrality⠀➾ # ⚓ Techdirt ☛ Your_ISP_Now_Requires_A_Broadband_‘Nutrition Label’_To_Clearly_Show_You_You’re_Being_Ripped_Off⠀⇛ After countless years pondering the idea, the FCC in 2022 announced that it would start politely asking the nation’s lumbering telecom monopolies to affix a sort of “nutrition label” on to broadband connections. The labels will clearly disclose the speed and latency (ping) of your connection, any hidden fees users will encounter, and whether the connection comes with usage caps or “overage fees.” Initially just a voluntary measure, bigger ISPs had to start using the labels back in April. Smaller ISPs had to start using them as of October 10. In most instances they’re supposed to look something like this: [...] # ⚓ APNIC ☛ Revising_the_criteria_for_the_accreditation_of RIRs⠀⇛ In March 2024, I published an article discussing why the RIR system is under scrutiny. As self- regulatory bodies, the RIRs along with their respective communities increasingly need to prove that there are adequate checks and balances to ensure the stability and self-governance of the Internet Numbers Registry System. In the same article, I also shared the Number Resource Organization’s (NRO’s) plan to strengthen the accountability of the RIR system to this end. In this follow-up article, I want to share an update regarding the plan to revise the criteria for the accreditation of the RIRs. # ⚓ Jim Nielsen ☛ For_Sale:_Used_Domain_(Clean_Title)⠀⇛ At a societal level, it’s not really a problem we’ve had to wrestle with (yet). Imagine, for example, 200 years from now when somebody is reading a well-researched book whose sources point to all kinds of domains online which at one point were credible sources but now are possibly gambling, porn, or piracy web sites. If you take the long view, we’re still at the very beginning of the internet’s history where buying a domain has traditionally meant you’re buying “new”. # ⚓ YLE ☛ Unchecked_fibre_optic_cable_installation_threatens critical_infrastructure,_experts_say⠀⇛ “The number of damages has grown as the work pace has intensified. We’re talking about hundreds of incidents annually,” said Niklas Granholm, Regional Director at Elisa. “Damages wouldn’t happen if everyone followed the agreed-upon rules,” said Mikko Kannisto, Head of Broadband Operations at DNA. According to Kannisto, some companies either don’t request or don’t wait for a cable location service. This service involves excavation companies requesting infrastructure providers to mark where underground cables are located. The cable location service should be requested before excavation begins. o § Digital Restrictions (DRM)⠀➾ # ⚓ The Register UK ☛ Apple's_M4_iMac_will_ship_with_16GB_of memory_as_standard⠀⇛ In a surprise announcement on Monday, Apple unveiled a rainbow of new iMacs powered by its M4 processor with 16 GB of memory as standard, a 12 MP webcam, and no shortage of AI gimmicks… er… features. § Monopolies/Monopsonies⠀➾ o ⚓ EFF ☛ EU_to_Apple:_“Let_Users_Choose_Their_Software”;_Apple: “Nah”⠀⇛ Our favorite parts of the DMA are the interoperability provisions. IP laws in the EU (and the US) have all but killed the longstanding and honorable tradition of adversarial interoperability: that’s when you can alter a service, program or device you use, without permission from the company that made it. Whether that’s getting your car fixed by a third-party mechanic, using third- party ink in your printer, or choosing which apps run on your phone, you should have the final word. If a company wants you to use its official services, it should make the best services, at the best price – not use the law to force you to respect its business-model. It seems the EU agrees with us, at least on this issue. The DMA includes several provisions that force the giant tech companies that control so much of our online lives (AKA “gatekeeper platforms”) to provide official channels for interoperators. This is a great idea, though, frankly, lawmakers should also restore the right of tinkerers and hackers to reverse-engineer your stuff and let you make it work the way you want. One of these interop provisions is aimed at app stores for mobile devices. Right now, the only (legal) way to install software on your iPhone is through Apple’s App Store. That’s fine, so long as you trust Apple and you think they’re doing a great job, but pobody’s nerfect, and even if you love Apple, they won’t always get it right – like when they tell you you’re not allowed to have an app that records civilian deaths from US drone strikes, or a game that simulates life in a sweatshop, or a dictionary (because it has swear words!). The final word on which apps you use on your device should be yours. o ⚓ India Times ☛ Microsoft-Google_fight_is_out_in_the_open: Microsoft_exec_writes_'open_letter'_against_Google,_claims attacking_company_on_a_range_of_topics⠀⇛ According to Microsoft, Google has hired a European lobbying firm to establish this new organization, which is set to be unveiled this week. The software giant claims to have learned of this campaign through an unnamed European cloud provider who declined to participate and subsequently alerted Microsoft. This latest development comes shortly after Google filed an antitrust complaint against Microsoft with EU regulators in September. In its complaint, Google accused Microsoft of unfair licensing practices for Azure. This move followed Microsoft's settlement with CISPE, a group of European cloud infrastructure providers who had previously raised similar concerns about Microsoft's licensing terms. o ⚓ Techdirt ☛ Google_Antitrust_Remedies:_Promoting_Competition Without_Punishing_Users⠀⇛ This remedy would certainly allow for more competition to arise, which has proven difficult today. No one (not even Microsoft’s Bing) really has the reach and comprehensiveness of Google’s index. DuckDuckGo is mostly built on Bing (I know it insists it’s more than that, but in practice, it appears to be mostly Bing — as we discovered when Bing banned Techdirt, and we also disappeared from DDG). Every attempt to build competing search engines seems to run into the scale problem eventually without access to Google results. Even Kagi, which was briefly a darling among folks looking for a search alternative, apparently makes use of Google’s search tech on the backend. It seems like a pretty reasonable idea to make it so that others can license access to the API and build Google results into alternative search products, as this gets at the actual issues underlying this case. o § Trademarks⠀➾ # § Right of Publicity⠀➾ # ⚓ Variety ☛ Robert_Downey_Jr._Bans_Hollywood_From Creating_Digital_Replica:_I_Will_Sue⠀⇛ When host Kara Swisher said that “future executives certainly will” want to digitally recreate Downey on the big screen, the actor responded: “Well, you’re right. I would like to here state that I intend to sue all future executives just on spec.” “You’ll be dead,” Swisher noted, to which Downey replied: “But my law firm will still be very active.” o § Copyrights⠀➾ # ⚓ Torrent Freak ☛ Mysterious_"Theater"_Rips_Cause_Excitement in_Piracy_Circles⠀⇛ For two decades, high quality screener rips leaked on pirate sites toward the end of the year. That 'tradition' ended a few years ago. More recently, however, there's been some excitement around a seemingly new type of leak, tagged "Theater". Are these high quality copies ripped from DCPs, or is something else going on? # ⚓ Torrent Freak ☛ BeStreamWise:_Police,_BBC,_&_DAZN_Quietly Added_to_IPTV_Piracy_Campaign⠀⇛ Anti-piracy campaign BeStreamWise has been quietly expanding its membership since its launch just over a year ago. Hoping to suppress use of pirate IPTV, mostly in connection with live football, Sky, Premier League, and FACT have been busy driving the messaging home via the media. More quietly behind the scenes, however, the declared supporters list has been expanding with the BBC, DAZN, NBCUniversal, and the Police Intellectual Property Crime Unit, among others. # ⚓ The Verge ☛ Meta_signs_its_first_big_AI_deal_for_news⠀⇛ Axios reports that Reuters will be compensated for its content appearing in Meta’s AI chatbot, which is accessible through Facebook, Instagram, WhatsApp, and Messenger, and links to Reuters stories will begin appearing for US users on Friday. Many of Meta’s splashiest AI features have so far been character focused — celebrity chatbots the company recently scrapped, for example — instead of centered around current events. Radice didn’t respond to questions about safety measures in place for AI responses that deal with news and current events. # ⚓ 404 Media ☛ Scientists_and_Archivists_Worry_Epic_Games’ Control_of_the_3D_Model_Market_Will_‘Destroy’_Cultural Heritage⠀⇛ Scientists, artists, and archivists are panicking about Epic Games’ deprecating of Sketchfab, the internet’s leading repository for open access 3D models, saying that the uncertain future of the platform under Epic Games’ ownership could break or limit access to hundreds of thousands of free 3D models, severely impacting their role in education, research, and conservation. # ⚓ CoryDoctorow ☛ Pluralistic:_The_US_Copyright_Office_frees the_McFlurry⠀⇛ Under DMCA 1201, giving someone a tool to "bypass an access control for a copyrighted work" is a felony punishable by a 5-year prison sentence and a $500k fine – for a first offense. This law can refer to access controls for traditional copyrighted works, like movies. Under DMCA 1201, if you help someone with photosensitive epilepsy add a plug-in to the Netflix player in their browser that blocks strobing pictures that can trigger seizures, you're a felon: https://lists.w3.org/Archives/Public/public-html- media/2017Jul/0005.html But software is a copyrighted work, and everything from printer cartridges to car-engine parts have software in them. If the manufacturer puts an "access control" on that software, they can send their customers (and competitors) to prison for passing around tools to help them fix their cars or use third-party ink. ䷩ 𝚕𝚒𝚗𝚎 6762 ╒═══════════════════ 𝐃𝐀𝐈𝐋𝐘 𝐋𝐈𝐍𝐊𝐒 ═════════════════════════════════════════════╕ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Gemini Links 29/10/2024: Bikepacking Adventures and Citrus Assessment⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Oct 29, 2024 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Cobweb_On_The_Window._Black_And_White⦈_ 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈ § Contents⠀➾ * Gemini*_and_Gopher o Personal/Opinions * § Gemini* and Gopher⠀➾ o § Personal/Opinions⠀➾ # ⚓ More_Bikepacking_Adventures:_Nutmeg_Noreaster⠀⇛ This last weekend was the eighth annual Nutmeg Nor'easter, a fall bikepacking-adjacent event held in Connecticut. About 500 people convened at the former campgrounds of a boy scout camp in the woods, and camped and biked for the weekend. The event was organized by "Ronnie Romance" of Ron's Bikes and Ultradynamico Tires. The community of bikers that have coalesced in this particular bike niche tend to be focused on steel bikes, a combo of road and off-road, wool clothes, "retro-grouch" bikes. There were a lot of 80s and 90s mountain bikes and custom or handmade steel bike makers. For example, there wasn't a single bike jersey, gel bars, or aerodynamic road bike to be found at the event as far as I could tell. Instead, zines, retro bike products, mountain bike tires, old bikes and plenty of screenprinted bike tees were abundantly represented. [...] That evening I had some snacks with new friends in the hall, then biked down the mountain back to the train station to pick up my friend. Coming in late after dark and biking into the woods alone would be less fun than biking with a friend, so I wanted her to feel welcome and supported. We biked over to a supermarket to buy food supplies for the weekend. We purchase tuna and crackers, nuts, lots of apples, bananas, carrots, snap peas, and some beer. Then for dinner we bought sushi and my friend got a slice of individually wrapped piece of cake with lots of frosting. # ⚓ Twenty_races_and_still_not_decided_🏎️🏆⠀⇛ It's a big task for Norris. He has to solidly outscore Verstappen in all of the last four races. And if either fails to finish a race, it might be all over. Complicating the outcome is that there are three teams who can win races now, and occasionally four. In Mexico, Norris didn't win, but Verstappen did worse. # ⚓ A_Siren_Song⠀⇛ In swoon of my heat exhaustion, I find myself unseemingly cast among an deserted sea; a sailor fated to an ill odyssey Among a storm of doubts and unrecalled memories. Among a rocky outcrop, hailed a Siren Wailing to the top of her lungs like filling seawater. I felt myself lured to her curtain call; a shark drawn By a blood red scent. # ⚓ Citrus_ranking⠀⇛ Citruses are my favourite fruits. I like many other fruits too, but the citrus family keep releasing banger after banger. # ⚓ named_my_degu⠀⇛ The younger three are Romeo, Diego, and Fauna. Romeo loves attention and will basically climb into any hand that reaches into the cage. Diego is usually up for some sort of adventure and will either hop into a hand or use the hand as a means of getting to an arm that he can quickly scurry up. Neither Romeo nor Diego know fear. Fauna is a little more timid. She will allow herself to be picked up, but she doesn’t jump into any open hand she sees right away. She’s more cautious about it. Of the older two, Bram will cheerfully climb into a hand, but only when he decides to. If you reach for him, he tends to move out of the way. He’s more open to attention in the afternoon. Flora will sometimes climb into an open hand, but usually once she discovers there’s no food (left) in that hand, then she’ll wander away to do whatever she was doing before the cage was opened. I wonder if it’s an issue of age, or just how much attention they received in their respective pet shops. The little degu are much more social than the older degu I have. But the age difference isn’t really that much. =============================================================================== * Gemini_(Primer) links can be opened using Gemini_software. It's like the World Wide Web but a lot lighter. ䷩ 𝚕𝚒𝚗𝚎 6904 ╒═══════════════════ 𝐃𝐀𝐈𝐋𝐘 𝐋𝐈𝐍𝐊𝐒 ═════════════════════════════════════════════╕ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Links 29/10/2024: Election, War, and Monopoly Coverage⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Oct 29, 2024, updated Oct 29, 2024 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇A_bit_spooky_footpath_in_the_forest⦈_ 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈ § Contents⠀➾ * Leftovers o Science o Education o Hardware o Health/Nutrition/Agriculture o Games o Security # Integrity/Availability/Authenticity # Privacy/Surveillance o Defence/Aggression o Transparency/Investigative_Reporting o Environment # Energy/Transportation # Overpopulation o Finance o AstroTurf/Lobbying/Politics o Civil_Rights/Policing o Internet_Policy/Net_Neutrality o Monopolies/Monopsonies # Patents # Trademarks # Copyrights * § Leftovers⠀➾ o ⚓ Latvia ☛ Youth_photo_contest_winners_chosen_by_Saeima_jury⠀⇛ The winners of the photo contest for young people "My Latvia. My responsibility”, run by the Latvian Saeima (parliament) have been announced. o ⚓ Hackaday ☛ Word_Of_The_Day_Calendar_Is_Great_Use_Of_E-Paper⠀⇛ If you’re trying to learn a new language, there are always a lot of words to learn. A word-of-the-day calendar can help, and they’re often readily available off the shelf. Or, you can grab some hardware and build your own, as [daedal-tech] did! o ⚓ Hackaday ☛ The_Woodworker’s_Cyberdeck⠀⇛ Computers were supposed to be personal, customizable, and cool. At times, in this cold modern world, we forget that. However, the cyberdeck scene is chock full of people building creative, original computers that suit their own tastes, aesthetics, and needs. [DIY Tinkerer] is one such individual, and he made the most of his woodworking skills when it came time to build his own cyberdeck! o ⚓ Hackaday ☛ Turning_A_Quansheng_Handheld_Into_A_Neat_Desktop Transceiver⠀⇛ The Quansheng UV-K5 is a popular handheld radio. It’s useful out of the box, but also cherished for its modification potential. [OM0ET] purchased one of these capable VHF/UHF radios, but got to hacking—as he wanted to use it as a desktop radio instead! o § Science⠀➾ # ⚓ Science Alert ☛ Why_Do_People_Love_Horror_Movies?_These_6 Reasons_Explain_The_Paradox⠀⇛ We ordinarily avoid fear, don't we? # ⚓ Science Alert ☛ Greenhouse_Gas_Levels_Hit_Record_Highs_as Scientists_Sound_The_Alarm⠀⇛ CO2 is accumulating in the atmosphere faster than ever. # ⚓ Science Alert ☛ Mysterious_Craters_Appearing_in_Siberia Might_Finally_Be_Explained⠀⇛ We first noticed them in 2014. # ⚓ Science Alert ☛ Watch_This_Mysterious_Octopus_Boing_Across The_Ocean_Floor⠀⇛ What is it doing? # ⚓ Science Alert ☛ 'Exceptional':_Intense_Rainfall_Has Transformed_The_Sahara_Desert⠀⇛ But experts are concerned. # ⚓ Science Alert ☛ This_Skeleton_Is_The_First_Person_Ever Found_From_a_Norse_Saga⠀⇛ The legend was true after all. o § Education⠀➾ # ⚓ The Straits Times ☛ China’s_private_tutoring_firms_emerge from_the_shadows_after_crackdown⠀⇛ There has been no formal acknowledgement of a change in policy. # ⚓ Chronicle Of Higher Education ☛ Sharp_Decrease_in_Visas_to Indian_Students_Alarms_U.S._Colleges⠀⇛ o § Hardware⠀➾ # ⚓ Tom's Hardware ☛ China_tightens_export_controls_on_rare earth_metals_used_for_chipmaking_—_country_now_requires exporters_to_detail_how_they_use_restricted_materials⠀⇛ China imposes new rules for exporters of rare earth metals, consolidating its dominance in the market. # ⚓ New York Times ☛ China_Tightens_Its_Hold_on_Minerals_Needed to_Make_Computer_Chips⠀⇛ Already the dominant producer of rare minerals, Beijing is using export restrictions and its power over state-owned companies to further control access. o § Health/Nutrition/Agriculture⠀➾ # ⚓ Latvia ☛ Hospital_head_says_hospitals_should_bypass medicine_wholesalers⠀⇛ It is time to allow hospitals to buy medicines bypassing wholesalers, Normunds Stanevičs, Chairman of the Board of Riga East Clinical University Hospital (RAKUS), said on the Latvian Radio program "Good Morning" on October 28. # ⚓ Science Alert ☛ Brain_Scans_Show_Neuron_Structures_Look Different_in_Kids_With_Autism⠀⇛ A distinct pattern has been revealed. # ⚓ Science Alert ☛ Amazing_30-Year_Experiment_Shows_Evolution Unfolding_in_Slow_Motion⠀⇛ Darwin would've been proud. # ⚓ Science Alert ☛ McDonald's_Contamination_Outbreak_Spreads to_13_States_as_Cases_Mount⠀⇛ Investigators have yet to confirm the toxic ingredient. # ⚓ The Straits Times ☛ Seoul_aims_to_halve_current_suicide rate_by_2030⠀⇛ It looks to shift its current suicide prevention policy to addressing the broader public. # ⚓ Hong Kong Free Press ☛ Hong_Kong_concern_group_slams scholar_for_‘stigmatising’_student_suicide⠀⇛ A Hong Kong scholar has apologised for his remarks on student suicide, after a concern group said describing the act as “doing something stupid” laid blame on the students and stigmatised mental health issues. # ⚓ University of Michigan ☛ The_real_cost_of_an_apple:_Cheap food_comes_at_a_price⠀⇛ In Ann Arbor, an apple at a local supermarket costs, on average, less than a dollar. At Kroger, you can purchase a standard Gala apple for just 70 cents — 90 cents if you choose to go organic. We have come to view food, like apples, merely as commodities with a price tag.  o § Games⠀➾ # ⚓ [Old] Daniel Holden ☛ DeltaTime_is_a_frame_behind⠀⇛ Here is something I didn't realize until embarrassingly long into my gamedev career: when programming animation, physics or gameplay systems, the DeltaTime that gets passed through the game engine is a frame behind the actual DeltaTime we should be using. # ⚓ The Straits Times ☛ Gaming_firms_look_for_love_from_recast Creative_Economy_Ministry⠀⇛ In Indonesia, app and game development is expected to see annual revenue growth of 13.3 per cent incoming years. # ⚓ Tom's Hardware ☛ Lenovo_Legion_Go_now_down_to_just_$499_— 8.8-inch_behemoth_undercuts_Asus_ROG_Ally_X_and_Valve_Steam Deck_OLED⠀⇛ Lenovo Legion Go is now seen for as low as $499. o § Security⠀➾ # § Integrity/Availability/Authenticity⠀➾ # ⚓ JURIST ☛ Philadelphia_district_attorney_sues_Elon Musk_for_PAC_money_giveaways_for_illegal_lottery⠀⇛ Philadelphia District Attorney Larry Krasner filed a civil lawsuit against Elon Musk and America PAC on Monday. The lawsuit alleges that the petition, with an offer to pay Pennsylvania registered voters, amounts to illegal lottery. In the complaint, Krasner argues that this petition violates the State Lottery Law by organizing an unauthorized lottery. # § Privacy/Surveillance⠀➾ # ⚓ Michael Geist ☛ The_Law_Bytes_Podcast,_Episode_217: David_Fraser_on_the_Privacy_Implications_of_the_Federal Court_of_Appeal’s_Facebook_(Farcebook)_Ruling⠀⇛ It has been many years since the Facebook (Farcebook) and Cambridge Analytica privacy scandal captured headlines. The services at the heart of the case no longer exist, but the legal case in Canada continues to march on. Last month, the Federal Court of Appeal overturned a lower court decision that had largely sided with Facebook. In its place, it released a new decision that includes and analysis of reasonableness under the Canadian privacy law and engages with the notion of a potential trust but verify standard in some cases when data is transferred to third parties. o § Defence/Aggression⠀➾ # ⚓ Hong Kong Free Press ☛ Chinese_hackers_target_US presidential_candidate_Donald_Trump_and_running_mate_JD Vance⠀⇛ Chinese hackers have targeted phones used by Republican presidential candidate Donald Trump and his running mate J.D. Vance, US media reported Friday. The New York Times, quoting people familiar with the matter, said the hacking attempt appeared to be part of a wide-ranging intelligence collection effort by Chinese hackers. # ⚓ The Straits Times ☛ Beijing_stabbing_wounds_five_in_rare knife_assault,_Chinese_police_say⠀⇛ A knife attack in China's capital Beijing wounded five people including three minors on Monday, state television CCTV reported, citing local police. # ⚓ New York Times ☛ Bullied_by_China_at_Sea,_With_the_Broken Bones_to_Prove_It⠀⇛ A violent attack on a Vietnamese fishing boat tests Hanoi’s muted but resolute approach to China’s aggression in the South China Sea. # ⚓ CS Monitor ☛ Israeli_strikes_inside_Iran_cross_a_threshold. How_will_Iran_respond?⠀⇛ In over a year of conflict between Israel and Iran’s militia allies, a key brake on a regional war has been each side’s fear of what the other could do. Does Israel’s latest strike mean that brake is failing? # ⚓ New York Times ☛ Under_Trump_or_Harris,_U.S._Asylum_Curbs Are_Likely_to_Endure⠀⇛ As administrations of both parties have failed to overhaul the nation’s immigration laws, a reckoning for the asylum system, which some say is overdue, seems inevitable. # ⚓ France24 ☛ Israel_approves_two_bills_that_could_halt UNRWA's_aid_delivery_to_Gaza⠀⇛ Israel's parliament has passed two laws that could prevent the U.N. agency for Palestinian refugees, a main provider of aid to Gaza, from being able to continue its work. The laws ban the agency, UNRWA, from operating in Israel, designate it a terror organization, and cut all ties between the agency and the Israeli government. # ⚓ France24 ☛ Sudan:_Rapid_support_forces_attack_in_sudanese state_of_Al-Jazira⠀⇛ The UN Security Council met in New York on Monday to discuss the violence in Sudan. Civilians are increasingly affected. This is particularly the case since last Friday in the state of Al-Jazira, until now relatively spared from the killings of civilians. # ⚓ The Straits Times ☛ Philippines_confident_in_US_security policy_continuity_regardless_of_election⠀⇛ Philippine-US ties would remain strong regardless of the US election's outcome, said Teodoro. # ⚓ Bruce Schneier ☛ Criminals_Are_Blowing_up_ATMs_in_Germany⠀⇛ It’s low_tech, but effective. Why Germany? It has more ATMs than other European countries, and—if I read the article right—they have more money in them. # ⚓ [Repeat] The Straits Times ☛ Malaysian_pharmacist_found dead_in_Melbourne;_homeless_man_charged_with_murder⠀⇛ The suspect is believed to suffer from schizophrenia. # ⚓ The Strategist ☛ Mitigating_Australia’s_cloud-computing risks_is_still_work_in_progress⠀⇛ The appeal of clown computing is undeniable. # ⚓ JURIST ☛ UNICEF_official_calls_for_attention_towards humanitarian_crisis_in_Sudan_amid_civil_war⠀⇛ Deputy Executive Director of UNICEF Ted Chaiban on Friday called for more international attention directed towards the “forgotten crisis” in Sudan amid the country’s civil war. In a joint statement along with UNHCR Assistant High Commissioner for Operations Raouf Mazou, Chaiban noted the huge amount of displacement and damage caused by the war... # ⚓ New York Times ☛ Israeli_Forces_Withdraw_From_Northern_Gaza Hospital_After_3-Day_Raid⠀⇛ The Gaza health ministry said the staff of the facility, Kamal Adwan Hospital, had been expelled or detained and urged people in Gaza with surgical skills to go there to save those patients they could. # ⚓ New York Times ☛ Gérard_Depardieu’s_Sexual_Assault_Trial_Is Postponed_Until_March⠀⇛ The French movie star’s lawyer said poor health kept his client from court on Monday. # ⚓ France24 ☛ Sexual_assault_trial_of_French_film_star Depardieu_opens_in_his_absence⠀⇛ French actor Gérard Depardieu said on Monday that he would not be appearing before a criminal court in Paris due to health reasons. Depardieu is facing charges of sexual assault that allegedly occurred during a 2021 film shoot. The names of the two women accusing him have not been made public. # ⚓ France24 ☛ 'Altar_of_great_art':_French_cinema_granted_film veterans_'transcendent_permission_to_be_above_law'⠀⇛ The trial of French actor Gerard Depardieu on sexual assault charges has opened in the absence of the celebrity who had declared himself to be ill. His lawyer had said earlier that Depardieu was "extremely affected" by ill health, and that he had asked for proceedings to be delayed until he could attend in person. As the trial thrusts the entire film industry into the spotlight, known to be a hotbed for widespread sexual assault over many decades, FRANCE 24's Annette Young is joined by Dr Mary Harrod, Professor of French and Screen Studies at the University of Warwick. # ⚓ CS Monitor ☛ How_Trump’s_abortion_policies_could_be_felt around_the_world⠀⇛ Health practitioners in developing countries fear a reelected Donald Trump would cut U.S. funds, whatever their purpose, to any group promoting abortion. # ⚓ RFERL ☛ U.S._Warns_Iran_Of_'Severe_Consequences'_For_Any New_Attacks⠀⇛ The United States warned Iran at the UN Security Council on October 28 of "severe consequences" if it undertakes any further aggressive acts against Israel or U.S. personnel in the Middle East. # ⚓ Hong Kong Free Press ☛ Hong_Kong_activist_Chow_Hang-tung barred_from_calling_on_overseas_witnesses_in_national security_case⠀⇛ A Hong Kong court has barred activist Chow Hang- tung from calling on overseas witnesses to testify virtually in her national security trial. # § Russia, Belarus, and War in Ukraine⠀➾ # ⚓ France24 ☛ Georgia's_crucial_vote_was_marred_by intimidation,_European_monitors_say⠀⇛ European observers said Sunday that Georgia's election took place in a "climate of hatred and intimidation” with multiple election violations and cases of violence, undermining the outcome of the vote that could decide the country's future in Europe. further analysis with FRANCE 24's Andrew Hilliar. # ⚓ LRT ☛ First_North_Korean_troops_killed_in_Russia, says_Lithuanian_source⠀⇛ The first clashes between Ukrainian forces and North Korean troops took place in the Kyiv-controlled Kursk region in Russia on October 25, according to sources available to Jonas Ohman, head of the prominent Lithuanian Blue/Yellow NGO. # ⚓ RFERL ☛ Zelenskiy_In_Iceland_For_Talks_On_'Victory Plan'_To_End_War_In_Ukraine⠀⇛ Ukrainian President Volodymyr Zelenskiy has arrived in Iceland to attend a summit with leaders of the Nordic countries. # ⚓ The Straits Times ☛ South_Korea's_Yoon_says_North Korean_troops'_Ukraine_war_deployment_may_come_sooner than_expected⠀⇛ Yoon says South Korea hopes to seek "practical countermeasures" with the EU and member states. # ⚓ The Straits Times ☛ South_Korean_delegation_to_brief Nato_on_North_Korean_troops_for_Russia⠀⇛ Ukrainian military intelligence said on Oct 24 that 12,000 North Korean troops were in Russia. # ⚓ Defence Web ☛ Ramaphosa_explains_Putin_“friendship”⠀⇛ Elaborating on South Africa’s foreign policy at the weekend, President Cyril Ramaphosa made it clear he was not projecting “any particular country or bloc of countries as the enemy” when he declared Russian Federation President Vladimir Putin and his countrymen “valuable friends and allies”. # ⚓ France24 ☛ Back_to_Russia's_orbit?_Georgia's_EU_bid on_hold_amid_claims_of_'stolen'_elections⠀⇛ Could the nation that back in 2008 fought a war against Vladimir Putin be giving up on its EU dream? Packed crowds outside Georgia’s parliament to protest what the pro-Western president calls a stolen election. We will scrutinize Saturday’s vote which gave another outright majority to the Georgia Dream party of billionaire former prime minister Bidzina Ivanishvili. # ⚓ France24 ☛ NATO_chief_Rutte_confirms_North_Korean troops_deployed_to_Russia⠀⇛ NATO chief Mark Rutte on Monday confirmed the presence of North Korean troops in Russia, calling their deployment a "threat to security" and a "significant escalation" of the war in Ukraine. Rutte hinted the troops may be a sign of the "growing desperation" of Russian President Vladimir Putin, who did not deny the arrival of the troops in Russia. # ⚓ RFERL ☛ NATO_Confirms_North_Korean_Troops_In_Russia, Says_It_Shows_Putin's_'Desperation'⠀⇛ NATO chief Mark Rutte confirms that North Korean troops are in the Russian region of Kursk, calling it a "significant escalation" of the war in Ukraine. # ⚓ Latvia ☛ Latvian_basketball_player_Timma_agrees_to play_in_Russia⠀⇛ Latvian basketball player Jānis Timma confirmed October 28 he intends to play at a tournament in Russia despite that country's invasion of Ukraine, reported the LETA newswire. # ⚓ Latvia ☛ Should_Ukrainian_children_be_required_to attend_Latvian_schools?⠀⇛ Latvia's kindergartens and schools currently accommodate 3,829 children who have arrived from Ukraine since the start of Russia's full-scale plague war. Latvia does not have data on how many Ukrainian children are out of school and why. According to the Latvian Television's De Facto, the biggest difficulties for the children are learning in Latvian. # ⚓ Stanford University ☛ Former_ambassador:_Russia_has the_momentum_but_may_not_win_in_Ukraine⠀⇛ Former ambassador to Ukraine Steven Pifer expressed concern that a Trump presidency would end American assistance to Ukraine. # ⚓ Scoop News Group ☛ Suspected_Russian_hacking, influence_operations_take_aim_at_Ukrainian_military recruiting⠀⇛ Google’s Threat Analysis Group and Mandiant said one group is behind the hybrid campaign that takes aim at both recruits and broader recruiting efforts. # ⚓ France24 ☛ North_Korean_troops_deployed_to_eastern Russia_for_training,_US_says⠀⇛ North Korea has reportedly sent 10,000 troops to Russia for training, tripling prior estimates. NATO and the EU warned of an escalating Ukraine conflict, with President Volodymyr Zelensky speculating Pyongyang may soon deploy 12,000 soldiers. Joe Biden condemned the move as "very dangerous." # ⚓ France24 ☛ Bidzina_Ivanishvili_-_the_shadowy billionaire_behind_Georgia’s_ruling_party⠀⇛ Who is the shadowy billionaire, Bidzina Ivanishvili, behind the ruling Georgian Dream party - which claimed victory in Saturday's contested election? Emerald Maxwell takes a look at Georgia's richest man and one-time pro-Western Prime Minister, whose party has drifted towards Russia since the war in Ukraine, while becoming increasingly authoritarian. # ⚓ New York Times ☛ Ukraine_Braces_for_Russian_Assault in_Kursk_Using_North_Korean_Troops⠀⇛ Several thousand North Korean soldiers have arrived in Russia’s western Kursk region, where they are expected to support Moscow’s efforts to dislodge invading Ukrainian forces. # ⚓ New York Times ☛ Rally_Backlash_Puts_Trump_on_the Defensive⠀⇛ Also, North Korean troops were deployed to help Russian forces. Here’s the latest at the end of Monday. # ⚓ New York Times ☛ As_Russian_Forces_Turn_to_Glide Bombs,_Ukrainian_Civilians_Fear_a_New_Threat_From_the Skies⠀⇛ Cities in eastern and southern Ukraine are increasingly being hit by Russian glide bombs, converted gravity bombs that can be guided to targets, often landing without detection, residents and officials say. # ⚓ Meduza ☛ Photos_show_Russian_troops_with_Western military_equipment,_captured_in_Ukraine_—_Meduza⠀⇛ # ⚓ Atlantic Council ☛ How_the_US_can_counter_Russian_and Chinese_nuclear_threats_in_space⠀⇛ As China and Russia bolster their counterspace capabilities, the United States must modernize its space-based nuclear command. # ⚓ France24 ☛ Georgia_declared_result_'would_have_been impossible_without_blatant_vote-rigging':_analyst⠀⇛ Tens of thousands of Georgians massed outside parliament Monday night, demanding the annulment of the weekend parliamentary election that the president has alleged was rigged with the help of Russia. FRANCE 24's Mark Owen speaks to Tinatin Japaridze, Eurasian Political Risk Analyst at Eurasia Group. She says that the declared result would have been impossible without manipulation and blatant vote-rigging. # ⚓ JURIST ☛ Georgia_opposition_and_international observers_challenge_parliament_election_as ‘illegitimate’⠀⇛ Georgia President Salome Zurabishvili and opposition parties questioned the results of the country’s parliamentary election on Saturday. The election declared the pro- Russia ruling party Georgia Dream (GD) as the winner with opponents labelling the election illegitimate amid criticism from international observers that alleges violence, voter intimidation, breach of vote secrecy and obstruction of vote observers. # ⚓ JURIST ☛ EU_Commission_President_denounces_Russia misinformation_against_democracies⠀⇛ European Commission President Ursula von der Leyen denounced Russia’s alleged hybrid cyberattacks attacks against European democracies on Saturday, stating that the EU is constantly fighting misinformation. The statement comes a week after von der Leyen accused Russia of interfering with Moldova’s narrowly approved vote on joining the EU. # ⚓ LRT ☛ NATO_must_respond_‘not_just_with_statements’_to North_Koreans_in_Kursk_–_Lithuanian_rep⠀⇛ NATO must respond with concrete actions to the deployment of North Korean troops to Russia, says Deividas Matulionis, permanent representative of Lithuania to NATO. # ⚓ RFERL ☛ 'They_Stole_Your_Vote,'_Georgian_President Says,_As_Tens_Of_Thousands_Rally_To_Protest_Elections⠀⇛ Tens of thousands of Georgians took to the streets on October 28 after President Salome Zurabishvili accused the country’s ruling party of employing Russian-style tactics in parliamentary elections whose official results she refuses to recognize. # ⚓ RFERL ☛ Bulgaria's_GERB_Poised_To_Win_Vote,_But Tricky_Coalition_Talks_Ahead⠀⇛ Partial official results show that Bulgaria's center-right GERB party is poised to win the country’s parliamentary elections, but without enough support to break a prolonged political stalemate. # ⚓ The Straits Times ☛ North_Korea’s_foreign_minister leaves_for_Russia_amid_troop_dispatch⠀⇛ A delegation led by Ms Choe Son Hui left on Oct 28 for an official visit to Russia. # ⚓ The Straits Times ☛ North_Korea_blames_South’s military_for_drone_intrusion⠀⇛ Pyongyang said it was an infringement upon its sovereignty. # ⚓ European Commission ☛ Read_out_of_the_phone_call between_President_of_the_European_Commission_Ursula_von der_Leyen_and_President_of_the_Republic_of_Korea_Yoon Suk_Yeol⠀⇛ European Commission Read-out Brussels, 28 Oct 2024 President von der Leyen just spoke with President Yoon on the phone. o § Transparency/Investigative Reporting⠀➾ # ⚓ Press Gazette ☛ Secrecy_around_UK_gun_police_threatens_open justice_say_editors_and_reporters⠀⇛ The Society of Editors and Crime Reporters Association sought assurances the plan will not set a new precedent. o § Environment⠀➾ # ⚓ The Straits Times ☛ Malaysia’s_veggie_farmers_ready_for monsoon⠀⇛ Farmers have taken steps to safeguard their crops and maintain a steady supply of fresh produce for consumers. # ⚓ DeSmog ☛ Mapped:_How_Big_Ag,_Pharma,_Pesticides_and_Other Industries_Hope_to_Sway_the_UN_Biodiversity_Talks⠀⇛ # ⚓ DeSmog ☛ The_Friendly_New_Face_of_Dark_Money:_How_Fidelity, Schwab,_and_Vanguard_helped_wealthy_donors_pour_$171_million of_dark_money_into_Project_2025⠀⇛ # § Energy/Transportation⠀➾ # ⚓ JURIST ☛ Guadeloupe_government_extends_curfew following_strike_at_power_plant⠀⇛ The government of the French Caribbean island of Guadeloupe extended a territory-wide curfew on Saturday which applied from 7PM until 6AM Sunday for public safety reasons after a strike by workers at the EDF-PEI power plant shut down the island’s electricity supply on Friday. # ⚓ [Repeat] France24 ☛ Authorities_extend_curfew_in French_Guadeloupe_after_a_strike_prompted_a_blackout⠀⇛ The government of the French Caribbean island of Guadeloupe ordered a curfew on Saturday, a day after a strike by workers left 370,000 people in darkness for nearly 24 hours. Story by France 2 and Siobhán Silke. # ⚓ DeSmog ☛ Norway’s_Equinor_Admits_It_“Over-Reported” Amount_of_Carbon_Captured_At_Flagship_Project_for Years⠀⇛ # ⚓ DeSmog ☛ Fracking_Pioneer_Gwyn_Morgan_Gave_$530K_to Anti-Climate_Website_‘True_North’⠀⇛ # § Overpopulation⠀➾ # ⚓ The Straits Times ☛ China_looks_to_spur_births,_aid families_in_fight_on_shrinking_population [Ed: Overpopulation needs to be tackled, not worsened]⠀⇛ BEIJING - China outlined steps on Monday to improve family planning and parenting measures in an effort to boost the number of births, a statement from the state council, or cabinet, showed, after two consecutive years of a shrinking population. o § Finance⠀➾ # ⚓ Hong Kong Free Press ☛ Drop_in_China_orders_sees_Dutch medical_device_maker_Philips_lower_sales_outlook⠀⇛ Dutch medical device maker Philips lowered Monday its full year sales target, blaming drop in demand from Chinese hospitals as it released third quarter results. Markets reacted negatively to the announcement with Philips’s share price dropping by more than 11 percent in morning trading on the Amsterdam stock exchange’s blue-chip AEX index. o § AstroTurf/Lobbying/Politics⠀➾ # ⚓ New York Times ☛ The_Rebellious_Scientist_Who_Made_Kamala Harris⠀⇛ The presidential candidate’s mother, Shyamala Gopalan Harris, was a breast cancer researcher whose egalitarian politics often bucked a patriarchal lab culture. # ⚓ The Straits Times ☛ Japanese_government_in_flux_after_voter anger_leads_to_major_defeat_for_Ishiba’s_LDP⠀⇛ The LDP-Komeito coalition fell short of the 233 seats needed for a Lower House majority # ⚓ The Straits Times ☛ Malaysia’s_NS_3.0:_Parents_and potential_trainees_fret_over_safety,_academics_and_bullying⠀⇛ One interviewee expressed her fear of being drafted, due to past reports of bullying and fatalities. # ⚓ New York Times ☛ Missing_From_the_2024_Presidential Election:_Feminist_Media⠀⇛ The robust feminist blogosphere of 2016 is all but gone. Some of the creators are missing its perspective. # ⚓ Pro Publica ☛ Videos_Reveal_Trump_Adviser’s_“Shadow”_Plan for_Second_Administration⠀⇛ A key ally to former President Donald Trump detailed plans to deploy the military in response to domestic unrest, defund the Environmental Protection Agency and put career civil servants “in trauma” in a series of previously unreported speeches that provide a sweeping vision for a second Trump term. In private speeches delivered in 2023 and 2024, Russell Vought, who served as Trump’s director of the Office of Management and Budget, described his work crafting legal justifications so that military leaders or government lawyers would not stop Trump’s executive actions. # ⚓ Stanford University ☛ ‘Civil_War’_warns_us_against_defying democracy⠀⇛ The 2024 movie follows a group of photojournalists traveling through a war-torn U.S. to interview the president. # ⚓ Unicorn Media ☛ Supply_Chain_Focused_Startup,_Stacklok, Donates_Minder_Platform_to_OpenSSF [Ed: OpenSSF does not pursue real security, it lobbies_or_fronts_for_GAFAM]⠀⇛ StackloK's founders say that security software designed to help with open source issues should also be open source. # ⚓ Scoop News Group ☛ CISA_sees_elimination_of_‘bad_practices’ as_next_secure-by-design_step⠀⇛ Officials at the cyber agency are doubling down on shifting the security onus to software makers. # § Misinformation/Disinformation/Propaganda⠀➾ # ⚓ The Straits Times ☛ 4_students_in_S._Korea_arrested for_making,_having_deepfake_porn_content_of classmates⠀⇛ More than 1,700 digital sex offences in South Korean schools have been reported since 2021. o § Civil Rights/Policing⠀➾ # ⚓ The Straits Times ☛ South_Korean_adoptee_sisters_meet_for the_first_time_in_39_years⠀⇛ The sisters were adopted as infants and discovered each other through a MyHeritage DNA test. # ⚓ The Straits Times ☛ Rescued_cows_inspire_S._Korean village’s_vegan_move_to_draw_younger_residents⠀⇛ The project has received government funding and has seen an increase in visitor numbers. # ⚓ Federal News Network ☛ How_to_keep_employees_with disabilities_from_leaving_your_agency⠀⇛ "To have a good program for accommodating persons with disabilities, you need leadership buy in," said Karren Brummond. # ⚓ The Straits Times ☛ South_Korea’s_Incheon_Airport_scraps celebrity_security_lanes_amid_favouritism_dispute⠀⇛ This came after backlash from lawmakers and members of the public. o § Internet Policy/Net Neutrality⠀➾ # ⚓ Science Alert ☛ There_Are_3_Different_Kinds_of_Wikipedia User._Which_Are_You?⠀⇛ Time for a Wikipedia deep dive... § Monopolies/Monopsonies⠀➾ o ⚓ Bryan Lunduke ☛ No,_Abusive_Monopolist_Microsoft_Did_Not_Fire Employees_for_Holding_"Vigil_for_Palestinians"⠀⇛ Microsoft fired 2 Abusive Monopolist Microsoft Microsoft trap Azure employees who boycotted Abusive Monopolist Microsoft -- and organized anti-Microsoft protests (while being wildly antisemitic). o ⚓ The Straits Times ☛ iPhone_16_allowed_into_Indonesia_for_personal use,_not_to_be_sold,_says_govt⠀⇛ The phones cannot be sold in Indonesia as Fashion Company Apple has not met the country's local investment targets. o ⚓ Silicon Angle ☛ Apple_releases_first_batch_of_Fashion_Company Apple_Intelligence_features,_debuts_new_iMac⠀⇛ Apple Inc. today made more than a half-dozen Fashion Company Apple Intelligence features generally available on recent iPhones, iPads and Macs. The company also debuted a refreshed version of its iMac desktop, which combines a computer with a monitor. o § Patents⠀➾ # ⚓ Unified Patents ☛ $2,000_for_Querytron_Heggem_search_patent monopoly_prior_art⠀⇛ Unified Patents added a new PATROLL contest, with a $2,000 cash prize, seeking prior art on at least claim 1 of U.S._Patent_8,849,707, asserted by Querytron Heggem LLC, an NPE and entity of Eric Zautner. # ⚓ Kluwer Patent Blog ☛ Patent_case:_Pharmathen_Global_B.V. vs._Novartis_AG,_Netherlands⠀⇛ After Novartis had obtained a preliminary injunction against Pharmathen, it observed that there were still infringing acts being performed. In the first instance, the provisions judge sided with Novartis and ordered that Pharmathen had to pay EUR 7,500,000 as a penalty. # ⚓ Dennis Crouch/Patently-O ☛ Text_vs_Precedent:_Celanese_and the_Secret_Process_On-Sale_Bar⠀⇛ In a pending petition for certiorari, the Maltese company Celanese Int'l is poised to ask the Supreme Court to resolve an important question about the scope of the AIA's on-sale bar: whether sales of products made using a secret process can bar later patent monopoly protection for that process. The issue arises from a Federal Circuit decision upholding the ITC's invalidation of Celanese's patents covering methods for manufacturing the artificial sweetener Ace-K. Celanese Int'l Corp. v. Int'l Trade Comm'n, 67 F.4th 1361 (Fed. Cir. 2024).  The court recently granted Celanese with an extension of time to file its formal petition for writ of certiorari, due December 10, 2024.  As is typical, the petitioner used its request for extension as a first opportunity to highlight the importance of the case and preview its primary arguments. # ⚓ Dennis Crouch/Patently-O ☛ Trade_Secrets_vs._Patents: Pioneer’s_Plant_Patent_Strategy_Raises_Thorny_Issues_(Corny Issues?)⠀⇛ The ongoing dispute between Inari Agriculture and Pioneer Hi-Bred over utility plant patents has taken its next step, with Inari seeking Director Review of the PTAB's denial of institution in PGR2024-00020 -- arguing that a patentee's reliance on its own trade secret information when developing its invention (here a maize variety) is directly relevant to the question of obviousness. The case raises interesting and fundamental questions about the intersection of trade secrets and patent monopoly law in the context of plant breeding. Inari Agriculture, Inc. v. Pioneer Hi-Bred International, Inc., PGR2024-00020, Paper 19 (P.T.A.B. Oct. 24, 2024). # § Kangaroo Courts⠀➾ # ⚓ JUVE ☛ “Germany’s_patent_monopoly_market_is converging” [Ed: UPC is illegal, but this site got paid to promote this illegality]⠀⇛ Many law firms in Germany are currently transitioning between falling national case numbers and rising cases at the UPC. Our latest JUVE Patent ranking Germany 2024 shows law firms with very different set-ups, such as Maikowski & Ninnemann, Bardehle Pagenberg and Taylor Wessing, are particularly affected by this shift. o § Trademarks⠀➾ # ⚓ TTAB Blog ☛ TTAB_Finds_Energy_Drinks_Related_to_Nutritional Supplements_and_Pickles⠀⇛ Beverage behemoth PepsiCo knocked the stuffing out of Defendant Rockstar Industries in this consolidated opposition and cancellation proceeding. The Board granted PepsiCo's petitions for cancellation of three registrations for the mark ROCKSTAR for nutritional supplements and related products, and sustained an opposition to two applications for snack items and pickles, finding confusion likely with PepsiCo's identical mark for energy drinks. This blog post will attempt to hit the "highlights." PepsiCo,_Inc._v._Rockstar Industries_LLC, Opposition No. 91247241 and Cancellations Nos. 92075918 and 92076204 (October 25, 2024) [not precedential]. o § Copyrights⠀➾ # ⚓ Digital Music News ☛ ‘Pink_Pony_Club’_vs._Generic_LoFi Beats:_Activaire’s_Co-Founder_Explains_Why_the_Right_In-Store Music_Transforms_the_Customer_Experience⠀⇛ If you’re not obsessively thinking about the music inside your store, Activaire is. The behind-the- scenes science is impressive – as told by Adesh Deosaran, CEO and Co-Founder of Activaire. The following comes from Activaire, a company DMN is partnered with. # ⚓ Press Gazette ☛ Keir_Starmer:_Hey_Hi_(AI)_companies_should pay_publishers_for_content⠀⇛ Starmer also claimed the government will take action over SLAPP lawsuits designed to intimidate journalists. ╘══════════════════════════════════════════════════════════════════════════════╛ ¶ Lines in total: 8181 ➮ Generation completed at 02:49, i.e. 25 seconds to (re)generate ⟲