𝕿𝖊𝖈𝖍𝖗𝖎𝖌𝖍𝖙𝖘 Bulletin for Friday, June 03, 2022 ┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅ Generated Sat 4 Jun 02:45:13 BST 2022 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/2022/06/03/ ╒═══════════════════ 𝐑𝐄𝐂𝐄𝐍𝐓 𝐁𝐔𝐋𝐋𝐄𝐓𝐈𝐍𝐒 ════════════════════════════════════╕ Previous bulletins in IPFS (past 21 days, in chronological order): QmYCG1uZdDgMXspdLbXDQngGQ4yhXE6HgWMFpDUPkCaRGd QmTdhVnRhcX2HJtHu7hvsFB2dPhh13SYWRaYKwBnekmLnn QmWGuKVt9tMTyye5MHtLdeBL5hHhvDZoSE9g4AF3tHEXLb QmV77UUsBEhooN1dsoMAMhGoY8sFLrHFAQyWzaCs8HqHct QmXwe8jeZh6Do5S8g1LTRjAN8HWyTrQYN5F55Z6MpCv1VJ Qmc8X4uW8RnLD5zrXfPvxwXw7Nq2ZFGY57D6sF8akoXBLz QmYmvpg18UDAFnTbdqNMiYxSDxC7nUtBFhuAe5VeRpxJza QmUDTqvqrXc6psJWBRDhpDQ7KmoWYpr5GJR3VrxvKhjqyc Qme5YRqRD2nNFguK86DA7U515gXMgkk7XTh9q848YXMD91 QmcydyTo5aL4HeiG6DafkjkaNTwgnDyQLR43x4KdNjfVKw QmQpJuAsuxM7rmt71cHrnPYHq3yDfDViu6N7MVLqXMKNFi QmQdANbcTEaZJ6my2fyMJy8z7hLkDG3PSmwrg5BgrSJUWE QmeiAoJp2bFLnfeXRMywwDqmFDpxrnccTw79hv3XpSU1WA QmesZFZtaQyPujdg2nTczATr3E45jULmh5GbNNGVzmgHLE QmbdHztStntudMnkVURYKTyZxgmnBTbeqCSGw55fNBDyoC QmaXs6nissBVhNYAYHVGqvFS4Kfy7Nq2ECoYf2jAVZYgbq QmSHHTdp6sLdmKQogL17XxUxtwd4yBjY2Lb634AgE8Uiij Qmcr7RG6Vn1Qk6so2Qqdx9upsB4AxyT1yb7f2Khqv4fKwT QmZ6LkeL4fZh9DTpRFrBNgmYKFoJn8TvGhP6J84MfkvYcP QmYUZtwpfW3SXobxRTXB4UAgicLysKVf5S6GPNsGsWJepo QmauiidagSC2rYNK3aXbfe9nRtvP5UNUndKdij7SmMpFkA ╒═══════════════════ 𝐈𝐍𝐃𝐄𝐗 ═══════════════════════════════════════════════════╕ ⦿ Working Document: Strategy for Tackling Tech Abuse and Our Long-term Plans | Techrights ⦿ IRC Proceedings: Thursday, June 02, 2022 | Techrights ⦿ A Sincere, Non-Revisionist History of Techrights | Techrights ⦿ [Meme] A Need for Father’s Discipline? | Techrights ⦿ EPO Staff Demands Release of the F***ing Recordings of António Campinos Breaching the Code of Conduct of the Office With Repeated Slurs/Swear Words | Techrights ䷼ Bulletin articles (as HTML) to comment on (requires login): http://techrights.org/2022/06/03/decade-proof/#comments http://techrights.org/2022/06/03/irc-log-020622/#comments http://techrights.org/2022/06/03/many-years-later/#comments http://techrights.org/2022/06/03/meme-a-need-for-fathers-discipline/#comments http://techrights.org/2022/06/03/no-recordings-for-you/#comments ䷞ Followed by Daily Links (assorted news picks curated and categorised): http://techrights.org/2022/06/03/gsoc-2022/#comments http://techrights.org/2022/06/03/notkia/#comments http://techrights.org/2022/06/03/replacing-wpa-with-iwd/#comments http://techrights.org/2022/06/03/steam-deck-at-5-pct/#comments ䷩ 𝚕𝚒𝚗𝚎 62 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at http://techrights.org/2022/06/03/decade-proof/#comments Gemini version at gemini://gemini.techrights.org/2022/06/03/decade-proof/ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 06.03.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ Working_Document:_Strategy_for_Tackling_Tech_Abuse_and_Our_Long-term_Plans⠀✐ Posted in Site_News at 11:47 am by Dr. Roy Schestowitz 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇A decade⦈ Preparing for the next decade Summary: We’re making plans for the coming decade or decades; generally speaking, we plan to write more not just about software freedom or software patents; the issue of Internet freedom (e.g. centralisation) becomes a high priority too THIS week we commenced the drafting of this crude_list_of_so-called_‘tech’ companies and what they do (for profit and to society). I put tech in scare quotes for reasons some people can guess; I’m very cynical about the direction technology has taken, not because I’m unfamiliar with tech (my degrees are in technical fields) but because I think it’s overused, misused and abused. One classic example of that is voting machines; who ever said paper ballots were so problematic? Is advancement defined as “embracing tech”? Automation? Counting a few millions of ballots once in several years isn’t a massive endeavour. In any event, we’re planning to present the data we’ve gathered more visually. There’s also this Free_Software_timeline from FigOSDev, who meticulously prepared the_Librethreat_Forecast and Librethreat_Database, dealing a lot with inside threats. tuxmachines.org turns 18 one week from now, we in Techrights turn 16 later this year, and it seems increasingly likely that I will be semi-retired (part time work) some time later this summer, which means I’ll be able to spend a lot more time reading and writing. 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇ICANN on tuxmachines.org⦈ Yes, tuxmachines.org is really that old and we’ve renewed the domain until 2027 Watch this space as we’ll probably have a lot to say in weeks to come. We’ve repeatedly stated that the number one priority is EPO coverage. It has had a profound positive effect and we wish to keep that. But when things are relatively calm at the EPO we want to issue 3-4 batches of Daily Links, aside from detailed articles, especially commentary about the state of Free software. Last week I registered our home as a high-priority address for power supply because we’re hosting Gemini and other services from home. The expectation is that I should be able to run the site, along with our associates and awesome geeks, for decades to come. If the Web is waning, that’s fine. We’ve been about more than the Web for 2 years already and we have our_own_IRC_network, our own Git server, and our self-signed certificates (the centralised CA model seems to be optimised for censorship in the long run). Stay tuned for further news and updates. █ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣴⣶⣶⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣶⣶⣶⣶⣶⠀⠀⠀⠀⣀⣴⣿⣿⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣶⣶⣶⣶⣶⠀ ⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⣾⣿⣿⣿⡇⠀⠈⠻⣿⣿⣿⣿⡄⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⠋⠀⠀⢻⣿⣿⣿⡇⠀⠀⣸⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⢰⣿⣿⣿⣿⠀⠀⠙⣿⣿⣿⣿⣇⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣷⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⠀⠀⠀⠈⠉⠉⠉⠁⠀⢀⣿⣿⣿⠁⣿⣿⣿⣿⡄⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⢹⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀ ⠀⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣏⣀⣸⣿⣿⣿⣧⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⠀⣿⣿⣿⣿⡇⠀⠀⣠⣿⣿⣿⣿⠇⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡀⠀⠀⢸⣿⣿⣷⡆⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⢸⣿⣿⣿⣿⠀⠀⢀⣿⣿⣿⣿⡟⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠟⠀⠀⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⠀⢻⣿⣿⣿⣷⣶⣶⣿⣿⣿⡿⠁⣾⣿⣿⡟⠛⠛⠛⢻⣿⣿⣿⣷⠀⢸⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⡟⠁⠀⢸⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠙⠿⣿⣿⣿⣿⣿⡿⠟⠁⢰⣿⣿⣿⠃⠀⠀⠀⠀⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤ ⣿⡧⢸⡇⢼⡇⡸⡇⡁⡏⠀⣹⢸⡏⢿⠰⢸⡱⢸⣏⢸⡸⢸⣗⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡇⣿⣤⣤⣤⣤⣤⣤⣤⣤⣄⣄⣤⣤⣄⣠⣄⣄⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡇⣿⠛⠿⠟⠻⠻⠿⡟⠻⠿⠿⠟⠿⡟⠛⠟⠻⠛⠛⠛⠛⠛⠻⠛⠟⡟⠟⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡇⣿⣶⣶⣤⣶⣶⣤⣷⣶⣶⣶⣶⣶⣷⣶⣶⣶⣶⣶⣶⣷⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡇⣿⠉⠉⠉⠉⠋⠙⠉⠉⠋⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡇⣿⠛⠛⠙⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡇⣿⣾⣶⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡇⣿⣈⣉⣉⣉⡉⣉⣉⡉⣩⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡇⣿⠉⠉⠙⠉⠉⠉⠉⠉⠉⠉⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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gemini://gemini.techrights.org/2022/06/03/irc-log-020622/ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 06.03.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ IRC_Proceedings:_Thursday,_June_02,_2022⠀✐ Posted in IRC_Logs at 2:24 am by Needs Sunlight Also available via the Gemini protocol at: * gemini://gemini.techrights.org/irc-gmi/irc-log-techrights-020622.gmi * gemini://gemini.techrights.org/irc-gmi/irc-log-020622.gmi * gemini://gemini.techrights.org/irc-gmi/irc-log-social-020622.gmi * gemini://gemini.techrights.org/irc-gmi/irc-log-techbytes-020622.gmi Over HTTP: 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇H 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇HTML5_logs⦈_ #techrights_log_as_HTML5 #boycottnovell_log_as_HTML5 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇H 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇HTML5_logs⦈_ #boycottnovell-social_log_as_HTML5 #techbytes_log_as_HTML5 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇t 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇text_logs⦈_ #techrights_log_as_text #boycottnovell_log_as_text 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇t 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇text_logs⦈_ #boycottnovell-social_log_as_text #techbytes_log_as_text Enter_the_IRC_channels_now =============================================================================== § IPFS Mirrors⠀➾ CID Description Object type IRC log for  QmXpno31yfmEraV2acjUTXksPNu6pgV7kEzRk98qgmYrq9 #boycottnovell 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈ (full IRC log as HTML) IRC log for #boycottnovell  QmVJnckficMDXg5ZScEZogfQZt4zGR7qz8NcMcHFTeJLvZ (full IRC log 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇text logs⦈ as plain/ASCII text) IRC log for #boycottnovell-  QmRZwQybuL5nZqWpurzksrBJHn1E366fnY3ehvsComtcJT social 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈ (full IRC log as HTML) IRC log for #boycottnovell-  QmVkhVdr9FkSWa3MjpswqcwmTufgScF8UrufVromyWtWym social 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇text logs⦈ (full IRC log as plain/ASCII text) IRC log for  QmeEv5r8Pijmeyh5G58cnZdqRJuzhVkVE9sFAnJs2zafyQ #techbytes 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈ (full IRC log as HTML) IRC log for #techbytes  QmRZuYVrZyS1rAj7JhHmrJtwgF4Cxx38XsSFD8cSKvsfRW (full IRC log 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇text logs⦈ as plain/ASCII text) IRC log for  QmPujF75xBX3ZftKq2Gw1ei9rpKDPSRZpf7uoeRH3oSLnY #techrights 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈ (full IRC log as HTML) IRC log for #techrights  QmQJabwJ2qGV2TNxnPeVfkuGdUAQY1BnD7MyV6njze1Rrq (full IRC log 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇text logs⦈ as plain/ASCII text) 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇IPFS logo⦈ § Bulletin for Yesterday⠀➾ Local_copy | CID (IPFS): QmauiidagSC2rYNK3aXbfe9nRtvP5UNUndKdij7SmMpFkA ䷩ 𝚕𝚒𝚗𝚎 310 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at http://techrights.org/2022/06/03/many-years-later/#comments Gemini version at gemini://gemini.techrights.org/2022/06/03/many-years-later/ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 06.03.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ A_Sincere,_Non-Revisionist_History_of_Techrights⠀✐ Posted in Site_News at 1:50 pm by Dr. Roy Schestowitz Video_download_link | md5sum caeec24fd1fc7619a513fbee14068ff7 Our History and Plans Creative Commons Attribution-No Derivative Works 4.0 http://techrights.org/videos/techrights-history-and-plans.webm Summary: Looking back at the progress made, including GNU/Linux becoming more mainstream and 35 U.S.C. § 101/Alice (SCOTUS) obliterating many software patents, we’re proud to say that there’s a potentially bright future ahead; there will also be a number of milestones and announcements, so we look back at what happened here since 2006 (33,611 blog posts ago) We are very excited by a number of things. As we noted moments_ago, Techrights turns 16 later this year. We must recognise the fact that many people aren’t familiar with the history and thus tradition of the site. It would not be the first time we tell the story, but looking back at 16 years perspective varies a tad bit. In 2006 I was very active in Digg.com (I was in fact ranked 17th in the entire site, which was a very major hub on the Web back then). Shane, like me, was very upset about what Novell had done with Microsoft. It was a patent collusion. Almost everyone in the GNU/Linux community was furious. Shane wanted me to join him in opposing the patent deal. So I did. That was way back in 2006. By that point I had already been very actively in USENET and in my own site. Social control media wasn’t quite a thing yet. It’s perfectly sincere to say this site was always about patents. It was also about GNU/Linux and the way Microsoft misused of patent schemes to undermine GNU/Linux (in retrospect it failed because GNU/Linux is very much iniquitous these days). Novell was sold or tentatively sold around 2010, so we refocused a bit on software patents and Microsoft’s misdeed, which soon haunted Nokia (2011) and other companies. The E.E.E. tactics culminated around 2015 with “Microsoft loves Linux” (a lie) and “joining” the Linux_Foundation not so long after that. In 2014 we started focusing on EPO abuses and one year later the gangster Benoît_Battistelli sent not one but several British law firms to intimidate me. This had the unpredictable effect of encouraging me to focus even more on the EPO — something we do to this very date with António_Campinos (a total phony, a friend of Battistelli) in charge. In November we can proudly say that we’ve survived 16 years. Since we never relied on social control media we have been very stable and relatively robust to censorship. We’ve received more legal threats than I care to recall, but we never got sued because the facts and the law were on our side. And the journey continues. █ ䷩ 𝚕𝚒𝚗𝚎 391 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at http://techrights.org/2022/06/03/meme-a-need-for-fathers-discipline/#comments Gemini version at gemini://gemini.techrights.org/2022/06/03/meme-a-need-for-fathers-discipline/ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 06.03.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ [Meme]_A_Need_for_Father’s_Discipline?⠀✐ Posted in Europe, Humour, Patents at 7:11 am by Dr. Roy Schestowitz 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Who_said_'Fuck'?_Tony⦈_ Summary: António_Campinos is breaking the rules, but don't_expect_his_fake supervisor_to_do_what's_required_to_rectify_things ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⣋⣀⣀⣰⣶⣾⢿⣿⡿⣿⣿⣿⢿⣿⡿⣿⣻⢿⣿⡿⣟⣻⢿⣿⣿⡿⣿⣿⢿⣿⣿⡿⣿⣧⣤⣼⡶⣫⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡿⠀⠈⠉⢻⣿⡏⣿⢸⣿⣇⣿⢹⣿⣸⣿⢸⣿⢹⣧⣿⢸⣿⡻⢇⢸⣿⣿⢹⣿⢸⣿⢹⣿⢹⣿⣿⢫⣾⠿⠿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠉⠉⠉⠛⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿ ⣿⡇⠀⠀⠰⣾⣿⣇⣿⣿⣿⣿⣿⢸⣿⢻⣿⢸⣿⢸⣿⣿⢣⣽⢿⡎⣿⣧⣿⢸⣿⢸⣿⢸⣿⢸⣿⣿⣷⡟⣵⣾⣿⣿⣿⣿⣿⣿⣟⢡⣶⣶⣶⣶⣿⣷⣦⠹⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿ ⣿⡇⠀⠀⠀⠈⢿⣿⣛⣛⣀⣛⣛⣜⣛⣘⣛⣬⣻⣟⣣⣿⣾⣻⣟⣃⣛⣃⣛⣛⣛⣘⣛⣛⣻⣾⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⠈⢿⣿⣿⣯⢫⡟⣭⣭⣿⣭⢫⣽⢛⣭⣭⡟⢯⡽⣫⡝⣭⣯⢛⣯⣭⡿⣿⣿⣿⣿⣿⡿⢸⣿⣿⣿⣿⣿⣿⣿⡟⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⢀⣸⣿⣿⣽⣼⡇⣿⣥⢸⣿⢸⣿⢸⣿⠸⠷⢸⣷⣿⢡⣯⣽⣜⣛⢸⣿⣿⣿⣿⣿⣿⣿⣶⣝⡻⣿⣿⣿⣿⣿⣧⠀⣿⣯⣽⣿⣿⣿⣧⣯⣿⢿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⠈⠉⠙⣿⣿⣿⡇⣿⢱⣸⣿⣸⣿⢸⣿⣰⡖⢸⡟⣿⡞⣿⣿⣟⣛⢻⣯⣿⣿⣿⣿⠟⡿⢿⣿⣿⣮⣝⢿⣿⣿⣿⠀⢻⣿⣿⣟⡻⣻⣿⣿⡿⢸⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⣼⠿⠛⠛⣷⣭⣿⣷⣭⣭⣷⣷⣭⣭⣷⣯⣵⣯⣽⣿⣿⣯⣭⣾⣿⣿⣿⣿⠋⠀⣿⣿⣶⣯⣭⣛⡷⠝⢿⣿⡄⠸⣿⣿⣛⣛⣛⣿⣿⣧⣾⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠘⠁⠀⠀⢰⠿⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⠈⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠿⠿⣿⣿⣿⢟⠟⠘⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠛⠛⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠿⠋⡁⠲⠀⠀⠐⣶⣶⣿⣶⣿⠀⠀⠀⠀⠨⠙⠿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⠋⢐⠀⠜⠂⠀⠀⠀⠀⠈⠛⠫⠟⠃⠀⠀⠀⠀⠀⠀⠂⠙⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠟⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠁⠀⠀⠀⠀⠀⢀⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠀⠀⠀⠀⠀⠀⠀⠐⣻⣿⣿⣿⣿⠃⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⢀⣰⣾⣏⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⣶⣄⠀⠀⠀⠀⠀⠘⠿⠿⣿⣿⡇⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢰⣦⡀⠀⠀⠀⠀⠀⠈⠙⠁⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠻⡎⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⢸⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⢸⣿⣿⣿⣄⡀⠀⠀⣀⣤⠀⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣶⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣦⣄⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⢸⣿⣿⣿⣿⣿⣿⣾⣿⣿⠀⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⡿⠿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⢰⣿⣟⡷⣶⡶⢎⣶⣿⣶⡁⣿⡆⣿⡘⣿⣸⡟⣾⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⣿⡇⡇⣿⡏⣿⡇⣿⣿⣿⣷⣹⣿⢳⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠘⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⡇⣇⣿⣧⣿⠇⣿⡜⣿⣟⡿⣿⣸⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣷⣿⣷⣿⣶⣿⣶⣿⣷⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣤⣭⣬⣟⠀⠀⠀⠀⠀⠀⠀⢀⣀⣉⣩⣭⣭⣭⣀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠿⠟⠛⠛⠛⢻⣿⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⠢⡉⣭⣭⡍⠀⠀⠀⠀⠀⠀⢠⣭⣭⣭⣭⣭⣭⣭⣭⣄⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣥⢞⣀⢝⡟⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣴⣶⣿⣿⠿⠛⠓⠂⣤⣿⠁⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠍⣛⠋⠉⠀⣀⣀⣤⣄⡻⠇⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡗⢷⢨⣿⠿⠿⢫⣵⣿⡷⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⠀⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢓⣨⣴⣶⣿⣿⣷⣌⠿⢃⣤⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠤⣀⠙⢿⣿⣿⣿⠀⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⡿⠛⠀⠉⠀⠀⠀⠀⠀⢰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠈⠂⢙⢿⣿⠀⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣾⣿⣷⠠⡄⢸⣿⣿⣿⣿⣿⣟⣥⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⡿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣜⡀⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣆⠻⣄⣛⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⢿⣿⣿⣿⣿⡿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠌⢻⣿⣿⣿⣿⣿⣿⣿⣸⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿ ⣿⣇⠀⠀⠀⢀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠋⠁⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣷⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿ ⣿⣿⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣰⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣉⣿⣿⣿⣿⣿⣿⣁⣀⣀⣠⣠⣀⣀⣤⣴⣶⣄⣀⣀⣀⣀⣤⣠⣈⣛⣁⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣤⣴⣾⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 457 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at http://techrights.org/2022/06/03/no-recordings-for-you/#comments Gemini version at gemini://gemini.techrights.org/2022/06/03/no-recordings-for-you/ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 06.03.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ EPO_Staff_Demands_Release_of_the_F***ing_Recordings_of_António_Campinos Breaching_the_Code_of_Conduct_of_the_Office_With_Repeated_Slurs/Swear_Words⠀✐ Posted in Europe, Patents at 7:06 am by Dr. Roy Schestowitz Video_download_link | md5sum bfda37307becbb658ed4d8c1505e139e Lack of Dialogue and Accountability Creative Commons Attribution-No Derivative Works 4.0 http://techrights.org/videos/campinos-survey.webm Summary: The Local Staff Committee Munich (LSCMN) and the Central Staff Committee (CSC) of the EPO are not tolerating the bad behaviour of António Campinos, who is acting in bad faith like his friend and predecessor Benoît Battistelli THE staff of the EPO (not the kakistocrats in management but staff which does all the actual work!) is too smart to fool and push around. Cursing at the staff isn’t just counterproductive; it is a serious violation of the rules of the Office. As usual, if the kakistocrats do all the enforcement of the Code of Conduct (as we saw in the Linux_Foundation), the Code_of_Conduct_will_only_even_be_used_to protect_the_powerful,_not_the_vulnerable. Selective enforcement. “The victims are being framed as “troublemakers” and those who constantly break the law are painted in media (which they bribe) as peacemakers.”This is exactly what’s happening at the EPO right now. The victims are being framed as “troublemakers” and those who constantly break the law are painted in media (which they bribe) as peacemakers. The Local Staff Committee Munich (LSCMN) has sent an open letter to the chief kakistocrat, stating: “Staff demands publication of the GCC recording of 26 April 2022″ (not a new request, but the kakistocrat keeps ignoring the request; it’s June already!). The LSCMN wrote to colleagues: “To further the earlier request of the CSC, the LSCMN had put the following question to staff: “Do you request Mr Campinos to publish the recording of the GCC meeting of 26 April 2022?” 306 participants answered yes (96%), 9 answered no and 4 abstained.” 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇European Patent Convention; I am the f***ing president!!⦈ It’s clear that people do want to hear and judge it for themselves. It’s also clear that the kakistocrat, António Campinos, is eager to hide what happened there. As if time alone will ‘fix’ things and amend the past… The LSCMN continued: “We conclude that the request of the CSC has found the overwhelming support of staff in Munich and urge the President to accede to it in this open letter.” The Central Staff Committee (CSC) also wrote to colleagues, in a message entitled “Meeting on 1 June: Professional conduct and meaningful dialogue” and sent some day ago: “The President has invited the CSC to inform him of any topics we would like to add on the agenda of the meeting with him scheduled for 1 June 2022. We think it is against the interest of staff if we simply return to a “business-as-usual” agenda after the GCC meeting of 26 April 2022. Rather, we see two problems that need to be urgently addressed in order to prepare a new beginning on a common basis: professional conduct and meaningful dialogue.” “Whether is is just a mental or instability issue (inability to control one’s language), or even connected to alcohol/narcotics… that’s not for us to judge. But there are rumours and whisper campaigns inside the Office about Campinos and drugs.”“Professional conduct” refers to the rudeness of António Campinos. There have been no_consequences_whatsoever_for_breaking_the_rules_of_the_Office and he’s seeking_to_extend_his_term. Insane! To remind readers what_he_said: “You will never have such a nice person being the f***ing President for the next fifty f***ing years. So you wake up and make agreements with me, or you never will for your f***ing life.” Sounds like an ego problem. He thinks he’s always right. He cannot come to grips with disagreement. This is another Battistelli. We don’t want to recklessly assert or claim a profound mental issue, e.g. God complex of sorts, as we never met him in person and diagnostic, arm chair psychiatry would not be our professional field, either. But do you want a megalomaniac to run Europe’s second-largest organisation? Is this going to be beneficial to peace and dialogue? Whether is is just a mental or instability issue (inability to control one’s language), or even connected to alcohol/narcotics… that’s not for us to judge. But there are rumours and whisper campaigns inside the Office about Campinos and drugs. “Either way,” an associate has noted, “it’s not a desirable trait in one in his ostensible role.” Does the Administrative Council get that? Does the Council serve any function at all? After four years of failure and growing_unrest, was anything learned? Here is what staff representatives wrote: Europäisches Patentamt 80298 München Deutschland Local Staff Committee Munich Comité local du personnel de Munich Lokaler Personalausschuss München Email: mnstcom@epo.org Date: 25.05.2022 sc22009ml Europäisches Patentamt | ÖPV München | GERMANY President of the Office Mr António Campinos Per E-Mail: PRESIDENT@epo.org SUBJECT: Request of Staff in Munich to publish the recording of the GCC Meeting of 26 April 2022 Dear Mr President, On 18 May 2022, the Local Staff Committee Munich (LSCMN) held an online General Assembly attended by 667 staff members. During the assembly, we presented the ”Mobility” Package (CA/32/22) to staff and detailed the events which took place during the GCC meeting of 26 April 2022 as reported by the Central Staff Committee (CSC). Reference was made to the ServRegs, in particular Article 38 (5), which stipulates that the meetings of the GCC shall be recorded. In that earlier publication by the CSC, it was requested that this recording be published. The LSCMN had put the following question to staff: “Do you request Mr Campinos to publish the recording of the GCC meeting of 26 April 2022?” 306 participants answered yes (96%), 9 answered no and 4 abstained. ===================================================================== From this, we conclude that the request of the CSC has found the overwhelming support of staff in Munich. It is our duty to convey this support to you, and ask that you proceed with the publication of the recording of this last GCC meeting. Sincerely yours, Michael Alex Kemény Chair of the Local Staff Committee Munich City, Haar and Brussels The staff representatives that staff represent other branches of the Office wrote this: European Patent Office 80298 Munich Germany Central Staff Committee Comité central du personnel Zentraler Personalausschuss centralSTCOM@epo.org Reference: sc22058cl Date: 19/05/2022 European Patent Office | 80298 MUNICH | GERMANY Mr António Campinos President of the EPO By email OPEN LETTER Agenda of the upcoming President / CSC meeting on 1 June 2022 Dear Mr President, In your email of 4 May 2022, you invited the CSC to inform you of any topics we would like to add on the agenda of the meeting with you scheduled for 1 June 2022. After the GCC meeting of 26 April 2022, your office informed us that the “consultation did take place in good faith” (email of 28 April 2022), that “the members of the GCC nominated by the administration do not share [our] recollection of this specific meeting” but that indeed “GCC meetings may be some times tense”(email of 29 April 2022). Later, your official report in the Intranet downplayed the incidents as “issues creating tensions at times”. Rarely has a recollection been so far removed from reality, and the draft minutes of the meeting that you sent us on 19 May evening even seem to ignore the matter completely. We see two problems that need to be urgently addressed in order to prepare a new beginning on a common basis: Firstly, professional_conduct would require you as Chair to refrain from ad hominem attacks against individuals for what they say or how they say it. It is up to the Chair to be flexible with the time constraints of a GCC meeting, and it may also be part of his duties to admonish inappropriate contributions. However, at no point in time did our behaviour go beyond normal conduct, which would even have justified such a response. For example, we cannot accept that you divide staff representatives into some who would engage into “lengthy monologues” and “other CSC members”, who would have “interacted openly”. ===================================================================== Secondly, meaningful_dialogue is also at stake. You suggest that the GCC should be the place for “direct discussions” on all agenda items “with the time required by their complexity”. Just taking the Professional mobility agenda item as an illustration, how can one reasonably expect a meaningful discussion to take place in such a short time on such a long and legally complex document (CA/32/22)? We expect a direct interaction in Working Groups, where our point of view would be genuinely taken into account before a version is submitted to the GCC. This happens much too seldom because your appointees often seem to have no leeway or mandate to really interact and have the “remarkably fruitful exchanges” you claim in your email of 29 April 2022. We think it is against the interest of staff if we simply return to a “business-as-usual” agenda after the GCC meeting of 26 April 2022, unless we address together some issues which have accumulated over the year s and culminated in this last GCC meeting. We have a genuine interest in finding better formats for bringing in the opinion of staff so that it can be taken into account in the decision-making process. In the interest of all stakeholders, and first and foremost of the staff itself, we are open to an educated discussion on such improvements. In conclusion, we believe that we need to address these issues first before we consider addressing the items on your social agenda. Yours sincerely, Alain Dumont Chairman of the Central Staff Committee Parts of these texts are discussed in the video above. █ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣍⡀⠀⠄⢘⡈⠀⠀⠈⡿⠰⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣄⣀⠀⠐⠇⢐⠂⢙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⣄⣌⣉⣉⡛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣭⣘⣻⡼⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠒⠀⠀⠀⠀⠀⠘⠋⠀⠀⢃⠁⣨⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⢀⣉⣙⡃⠒⠒⠂⠄⠀⠉⠉⠙⠛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣡⣄⡀⠀⢸⠀⠼⠿⠷⠇⣾⣀⣿⣿⡇ ⣤⣤⣤⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠂⠀⠀⢀⣀⣀⠀⠀⠀⠀⣉⣉⣟⣛⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⣠⣕⣾⣿⣿⣿⣿⣿⣿⣷ ⣿⣿⣿⣿⣿⣿⡇⢰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⣿⣿⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠁⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣾⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣶⣶⣿⣷⣷⣿⣷⣷⣿⣿⡀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡦⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣷⢠⠀⠀⠀⠀⠀⠀⢠⣶⣶⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⣬⣬⣧⣵⣶⣷⣿⣿⣿⣿⣏ ⣿⣿⣿⣿⣿⣿⡇⣿⣧⣻⣿⣿⣿⡏⢻⡄⠀⠀⠀⠀⠀⠀⠻⠿⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣟⠋⢡⣾⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⡇⢘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠙⢿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠃⣿⣿⡿⠿⡿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣸⠘⠀⢻⣿⣿⣿⣿⣿⣿⣶⣿⠁ ⠹⠻⠋⠛⠁⠙⠀⠉⠉⠀⠀⣀⣙⣿⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⠀⠀⣿⣿⣿⡿⠿⠿⠛⣻⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡍⠉⠉⠹⠿⠷⢀⣀⡄⠀⠀⠀⠀⠀⠈⠉⠈⠁⠀⠀⠀⠀⠀⠀⢸⣿⣅⣀⣀⠀⠀⢐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡏⣭⣭⣿⠛⢸⢣⣿⣏⠠⣀⢀⠬⢤⣚⣟⡂ ⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠉⢉⡁⢤⣴⡶⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⠇⠀⢸⣿⣿⣿⠈⠉⠉⠛⠛⠛⠛⠃ ⣠⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠫⠻⠃⠀⠀⠀⠉⠁⠈⠉⠛⠛⠛⠛⠛⢿⣿⣿⣿⣿⣷⣿⡿⠀⠀⢸⣿⣿⣿⠀⠿⠿⠿⢿⣷⡶⡦ ⣿⣿⣿⣷⠟⢶⠆⠰⠶⠶⠖⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣉⠀⠀⠀⢘⠁⠀⠀⠈⠿⠰⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣄⡀⠀⠀⡇⢀⠂⢛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢀⣀⢀⡠⡤⠀⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢤⣤⣈⣉⡙⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣮⣥⣸⡿⣽⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠒⠀⠀⠀⠀⠀⠘⠋⠈⠁⣃⠁⣵⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⢈⣉⣙⡒⠒⠂⠀⠀⠈⠉⠉⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣡⣄⡀⠀⢐⠀⠼⠿⠷⠂⣿⣀⣿⣿⡆ ⣤⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⣉⣙⣛⣛⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⣀⣒⣶⣿⣿⣿⣿⣿⣿⣧ ⣿⣿⣿⣿⣿⣿⡇⢰⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⣿⣿⣿⣯⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠁⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⣾⣿⣾⣶⣦⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣶⣶⣿⣿⣾⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡦⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣧⢀⠀⠀⠀⠀⠀⠀⢠⣶⣶⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⣤⣬⣧⣏⣶⣷⣿⣿⣿⣿⣏ ⣿⣿⣿⣿⣿⣿⡇⣿⣧⣻⠿⣿⣿⡿⢘⠀⠀⠀⠀⠀⠀⠀⠻⠿⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣟⠋⢥⣾⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⡇⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⢹⢻⣿⣿⣿⣿⣿⣿⣿⡏⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠇⣿⣿⡿⠿⠿⢿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣇⣹⠊⠂⠻⣿⣿⣿⣿⣿⣿⣷⡟⠀ ⠘⠛⠿⠋⠁⠈⠀⠀⠀⠀⠀⢀⣘⣿⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⡀⠀⢻⣿⣿⡿⠿⠿⠛⢃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡏⠉⠉⠹⠿⠷⢀⣀⡀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⢸⣿⣄⣀⣀⠀⠀⢐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣭⣭⣿⠛⠰⢇⣿⣾⢀⢁⠀⠄⢤⣒⣛⡒ ⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠉⢉⢁⣤⣴⡖⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⡇⠀⠀⣾⣿⣿⠈⠉⠉⠛⠛⠛⠛⠃ ⣠⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠟⠃⠙⠃⠀⠀⠈⠉⠉⠈⠉⠛⠛⠛⠛⠻⣿⣿⣿⣿⣿⡇⣿⣿⠀⠀⠀⣿⣿⣿⡄⠻⠿⢿⡿⣶⣶⡆ ⣿⣿⣿⣿⠟⢶⠆⠰⠶⠶⠖⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠴⠛⣿⣿⣿⣿⡇⣿⡇⠀⠀⠀⢹⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣉⠀⠀⠀⢘⠉⠀⠀⠈⡿⠸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣄⡀⠀⠀⡇⢀⠂⢛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢀⣀⢀⠠⠄⠀⠀⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠒⠂⠴⢴⣤⣉⢉⠙⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣦⣥⣘⣿⢽⡿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠒⠀⠀⠀⠀⠀⠘⠛⠀⠀⡋⠀⣃⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⢈⣉⣈⡀⠒⠢⠄⠀⠈⠉⠉⠛⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣡⣀⡀⠀⢂⠀⠾⠿⠷⢂⣿⣐⣿⣿⡆ ⣤⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⢀⣀⣀⠀⠀⡀⡈⣉⡹⣛⣻⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⣠⣲⣶⣿⣿⣿⣿⣿⣿⣧ ⣿⣿⣿⣿⣿⣿⡇⢰⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⣿⣿⣿⣯⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠁⠈⣿⣿⣿⣿⣿⣿⣾⣿⣿⣯ ⣿⣿⣿⣿⣿⣿⡇⣼⣷⣾⣮⣄⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣶⣾⣷⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡦⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣷⢠⠀⠀⠀⠀⠀⠀⢠⣶⣶⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⣤⣭⣧⣟⣶⣷⣿⣿⣿⣿⡧ ⣿⣿⣿⣿⣿⣿⡇⣿⣧⣻⢿⣿⣿⡿⢈⠀⠀⠀⠀⠀⠀⠀⠻⠿⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣟⠋⢥⣾⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⡇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⢨⢻⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣟ ⣿⣿⣿⣿⣿⣿⡇⣿⣿⢿⣿⣿⢿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣷⠙⡇⠃⠙⣿⣿⣿⣿⣿⣿⣿⡟⠁ ⠘⠻⠟⠋⠁⠈⠀⠀⠈⠀⠀⢀⣐⣻⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡀⠀⢸⣿⣿⣿⠟⠟⠛⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡏⠉⠉⠙⠿⠷⢀⣀⡀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⢸⣿⣄⣀⣀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⡍⣿⣿⣿⠟⠀⡟⣾⣿⡁⢅⣀⡤⢔⣒⣛⡒ ⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠉⢉⡁⣄⣴⣄⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⡏⠀⠀⣿⣿⣿⡏⠛⠛⠛⠛⠛⠛⠃ ⣀⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠏⢋⠋⠂⠀⠀⠈⠉⠁⠈⠉⠛⠛⠛⠛⠻⣿⣿⣿⣿⣿⡇⣿⣿⠁⠀⠀⢸⣿⣿⡇⠿⠿⣿⣿⣶⣶⡦ 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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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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⣷⡵⡄⠀⠀⠀⠈⠀⠀⠀⢺⣿⣿⣿⣿⣿⣿⠀⢸⡛⢿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⠃⢰⣿⣿⣆⣄⣀⣈⠉⠁⠈⠉⠐⠒⢒⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢡⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠿⣿⡿⠆⠀⠀⠙⠫⠋⠁⠈⠛⢿⣿⣿⣿⠟⠁⣴⣿⣿⣿⣿⡀⠠⠀⠄⠀⠀⠀⠀⢀⡉⣉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣶⣶⣶⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡿⠁⣰⣾⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠏⠀⣼⣿⣿⣿⣿⣿⡿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠖⠲⣶⠎⢶⠄⠰⠶⠶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠿⠿⣿⣿⡿⠿⠟⣛⣛⣛⣩⣭⣭⣭⣥⣤⣤⣤⣤⣀⣀⡀⠀⠀⠀⠀⠸⡇⠀⡧⣼⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⡀⠀⡄⡈⡿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡀⠀⣀⢀⣼⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢰⣿⣷⣶⣤⣹⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠘⠛⡌⣁⣀⣤⣿⣿⡄⠁⠀⠿⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠙⠛⠿⢿⣿⣿⣿⣿⣿⣿⡏⠉⠀⠀⠀⠀⣤⣤⣯⣿⣿⣿⣻⣿⣷⡦⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠒⣲⣤⣤⣀⣾⣿⣿⣿⣿⣯⣤⣄⠀⡅⠀⠈⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣟⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⣾⣿⣿⡿⣿⣻⣿⣿⣿⡿⠟⠃⢰⡃⠀⠀⠛⠈⡟⠛⣿⣿⣿⣿⣿⠻⠿⠿⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⢛⣉⣭⣍⣉⣉⣙⡛⠛⠓⠄⠀⢻⣿⣿⣧⣿⡿⠾⠉⠉⢀⣶⣾⣿⣿⣦⢀⣄⢰⣧⣄⣿⣿⣿⣿⣿⢛⢢⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣳⣤⡌⠉⠛⠛⠻⠿⠿⠿⠿⠿⠿⠿⠛⠟⠛⠛⠉⠉⠀⠀⠠⠍⢸⣶⣿⣿⣿⣿⣿⡇⠀⠀⠁⠀⢹⣿⣿⣿⣿⣿⣿⣆⣴⣿⣿⣿⣿⣿⣧⠒⣿⢹⣿⣟⣿⣿⣿⣿⣿⣽⡏⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⢸⣯⡿⡿⣿⣿⣿⡇⠀⠀⠀⠀⠈⣽⣿⣿⣿⣿⣿⡿⣹⣿⣿⣿⣿⣿⡇⢠⠀⠘⡟⠛⢻⠺⠛⠙⡟⠛⠃⠐⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⣶⠀⠀⠀⠀⠀⠀⣸⣾⢚⣾⣿⣿⣿⣁⣀⣀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⡆⠀⠀⠀⢘⢀⡀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⢿⣮⢦⠀⠀⠀⠀⠁⠀⠀⠘⣿⣿⣿⣿⣿⣿⠀⠐⡛⢿⣿⣿⣿⠛⣿⣾⣿⣿⣿⣿⣿⡿⠀⣾⣿⢠⣄⣀⣈⣉⣉⡉⣁⠒⠒⢒⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠍⡼⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⠿⠿⢻⣿⣿⡷⠀⠀⠙⠿⠝⠋⠀⠻⣿⣿⣿⣿⣿⡟⢁⣼⣿⣿⡆⠤⠤⠤⠤⠤⠤⠤⠀⣈⣍⡁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣶⣶⣶⣶⣦⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⠇⢠⣾⣿⣿⣿⣗⣄⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⠏⢠⣿⣿⣿⣿⢣⡏⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠖⠲⣶⠎⢶⠄⠰⠶⠶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣷⣿⣿⣿⣿⣿⢸⡇⢸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠿⠿⣿⣿⡿⠿⠟⣛⣛⣛⣩⣭⣭⣭⣤⣤⣤⣤⣤⣀⣀⡁⠀⠀⠈⠀⠈⠟⠀⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠈⠑⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⣂⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠈⠄⠻⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⣀⢀⣼⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢰⣿⣶⣦⣤⣹⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠘⠛⠈⣀⣀⣤⣿⣿⡄⠀⠀⠻⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠙⠛⠿⢿⣿⣿⣿⣿⣿⣿⡏⠉⠀⠀⠀⢠⣤⣤⣿⣿⣿⣿⣻⣿⣷⣦⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠒⢲⣦⣦⣄⣾⣿⣿⣿⣿⣯⣠⣄⠀⡁⠀⢨⣿⢹⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⣾⣿⣿⡯⣿⣻⣿⣿⣿⡿⠟⠃⢰⠀⠀⠘⠙⠈⡟⡟⣿⣿⣿⣿⣿⠹⠿⠟⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⣛⣉⣭⣍⣉⣉⣙⡛⠛⠓⠄⠀⢻⣿⣿⣯⣿⡿⠾⠉⠉⢀⣾⣾⣿⣷⡀⢰⣀⣰⣧⣅⣿⣿⣿⣿⣿⢛⢢⡀⢠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣤⣌⡙⠛⠛⠻⠿⠿⠿⠿⠿⠿⠿⠛⠛⠛⠛⠉⠉⠀⠀⠀⠉⠁⣿⣟⣿⣿⣿⣿⡏⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣰⣴⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⠈⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠈⣻⣿⣿⣿⣿⣿⢏⣿⣿⣿⣿⣿⣿⣧⠀⠂⠈⡟⠛⡿⠚⠛⠙⡟⠛⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢷⡄⠀⠀⠀⠀⠀⢨⣶⡎⣻⣶⣿⣿⣧⣤⣤⡀⠀⣰⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⡇⠀⠃⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⣷⡵⡄⠀⠀⠀⠈⠀⠀⠈⣿⣿⣿⣿⣿⣿⡇⢀⡛⢻⣿⣿⣿⠟⣿⣿⣿⣿⣿⣿⣿⣿⠏⢀⣗⢢⣤⣀⣈⣉⣉⣉⣉⡉⠉⢉⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣱⠋⠀⠀⠀⠀⡀⠀⠀⠀⠀⠹⠿⠿⣿⣿⣿⡿⠂⠀⠈⠛⠉⠹⣿⣿⣿⣿⣿⣿⣿⣿⡟⢀⣾⣿⠐⠴⠤⠤⠤⠀⠀⠤⠀⣤⡬⡡ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣷⣶⣶⣶⣶⣶⣶⣦⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡏⢀⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣟⠀⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠖⠲⣶⠎⢶⠄⠰⠶⠶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⣿⣿⣿⡇⢰⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠻⠿⣿⡿⠿⠟⣛⣛⣛⣩⣭⣭⣭⣭⣤⣤⣤⣤⣀⣀⡀⠉⠀⠀⠘⠀⢹⡇⢸⣇⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⢈⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣁⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⣀⠀⠠⡃⠘⢿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠄⢀⡀⠀⠀⣆⡀⠀⣤⢠⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢰⣿⣿⣶⣦⣭⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠈⢉⣄⣤⣤⣴⣿⣿⡆⠀⠀⠻⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠉⠛⠛⠿⢿⣿⣿⣿⣿⣿⡏⠉⠈⡇⠀⢀⣦⣴⣯⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠈⠐⢒⣶⣧⣤⣿⣿⣿⣿⣿⣯⣠⣄⠀⡅⠀⠀⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣟⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⢸⣿⣿⣿⣿⣻⣿⣿⣿⣿⠟⠃⣰⡇⠀⠀⠉⠈⡏⣏⣿⣿⣿⣿⣿⡹⠿⠏⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⣛⣉⣭⣍⣉⣉⣙⣛⠛⠓⠄⠉⢸⣿⣿⣿⣿⣿⠾⠋⠉⢀⣾⣾⣿⣇⠀⠀⣄⣸⣷⣄⣿⣿⣿⣿⣿⣉⢱⣄⢠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣙⡛⠛⠻⠿⠿⠿⠿⠿⠿⠿⠛⠛⠛⠛⠉⠉⠀⠀⠀⠀⠬⢸⣿⣿⣿⣿⣿⣿⠁⠀⠐⠀⠘⣿⣿⣿⣿⣿⣿⣠⣴⣿⣿⣿⣿⣿⣦⠀⣿⢹⣿⣿⣿⢿⣿⣿⣿⣿⠈⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢘⣿⣿⣿⣿⢸⢏⣿⣿⣿⣿⣿⣿⣿⡀⠀⠈⠙⠛⢻⠚⠛⠛⡟⠉⠉⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢿⡆⠀⠀⠀⠀⠀⢸⡿⠿⣿⣹⣿⣿⣤⣤⣤⠀⢀⣾⣿⣿⣿⡇⣬⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⠠⠄⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⢿⡎⠆⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠿⠀⠈⢿⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠸⠷⢦⠤⣤⠤⣀⣉⣉⣉⣉⣭⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠲⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠻⠿⣿⡦⠀⠀⠈⠻⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠘⠓⠶⠒⠲⠒⠖⠢⠤⠀⢤⡤⡤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠖⠲⣶⠎⢶⠄⠰⠶⠶⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠟⠻⠿⣿⠁⠀⡄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠿⠿⡿⠿⠟⣛⣛⣛⣩⣭⣭⣭⣭⣤⣤⣤⣤⣀⣀⡀⠉⠁⠀⠀⠋⠘⣿⠀⣯⣹⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠁⡇⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⣄⡀⠀⢌⠌⣻⣿⣿⣿⣿⣿⣿⡇⠀⠀⠠⣄⢀⡀⠀⠀⣦⣄⡀⣤⢠⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣰⣿⣿⣷⣶⣬⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠈⢉⣥⣤⣶⣶⣿⣿⣇⠀⠀⠻⠟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠉⠙⠛⠻⢿⣿⣿⣿⣿⣿⡏⠉⠈⡇⠀⠀⣮⣤⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠈⠁⠒⣾⣯⣷⣿⣿⣿⣿⣿⣯⣠⣄⠀⡅⠀⠀⣿⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣟⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⢀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠃⣰⡇⠀⠀⠉⠉⢹⣉⣿⣿⣿⣿⣿⣻⠿⠏⠁ 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⠀⠖⠲⣶⠎⢶⠄⠰⠶⠶⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠟⢿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢐⣿⡄⠀⠠⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠻⠿⡿⠿⠟⣛⣛⣋⣩⣭⣭⣭⣭⣤⣤⣤⣤⣀⣀⡀⠀⠀⠀⠉⠀⠀⢸⡇⢠⣇⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠁⠂⡇⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿ ⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⣅⡀⠀⢀⡋⠹⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⡀⠀⠀⣤⣀⠀⢀⠀⣼⣿ ⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣰⣿⣿⣷⣦⣬⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠘⠋⢡⣁⣴⣤⣿⣿⣇⠀⠀⠻⠿ ⢸⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠉⠙⠛⠿⢿⣿⣿⣿⣿⣿⡏⠉⠈⣿⠀⠀⣬⣥⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀ ⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠈⠈⠐⢒⣶⣶⣾⣿⣿⣿⣿⣯⣤⣄⠀⣽⠀⠀⣽⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣟⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⢟⠃⣰⣿⠀⠀⠉⠉⢹⢛⣻⣿⣿⣿⣿⣻⠿⠿⠉ ⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠋⢩⣭⣍⣉⣉⣙⠛⡛⠓⠄⠀⢻⣿⣿⣿⣿⡿⠿⠉⠉⢁⣼⣾⣿⣿⠀⠀⣠⣸⣾⣄⣸⣿⣿⣿⣿⣛⣳⣆⠀ ⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠻⠿⠿⠿⠿⠿⠿⠿⠿⠛⠛⠛⠛⠉⠍⠀⠀⠀⠀⠀⠀⠁⣿⣿⣿⣿⣿⣿⠀⠀⠀⠞⢸⣿⣿⣿⣿⡿⢀⣶⣿⣿⣿⣿⣿⣷⡄⣻⢽⢿⣿⣿⡿⣿⣿⣿⣿⡏⠁⠀ ⠘⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢩⣿⣿⣿⢡⣾⣿⣿⣿⣿⣿⣿⣿⣇⠀⠈⢸⠛⢻⡟⠛⠛⢻⠛⠁⠁⠀ ⢀⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡆⠀⠀⠀⠀⠀⣿⣿⢟⣿⣿⣿⣤⣤⣤⡄⢠⣾⣿⣿⢃⡾⣻⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢨⠀⠈⣡⠄⠀⢸⠀⠀⠀⠀ ⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⡿⠞⠆⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠃⣀⣽⣿⣥⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡾⠿⠶⠤⠤⠤⠬⠉⣭⣉⣍⣩⡥ ⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⣀⣐⣘⣁⣀⣀⡀⠀⠀⠀⠀⠀⠛⠛⠻⠫⡀⠀⠀⠹⠿⠛⠋⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠛⠲⠶⠒⠒⠒⠲⠀⠀⠤⡴⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠷⠶⣶⠊⢶⠄⠰⠶⠶⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿⣿⠛⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠻⠿⡿⠿⠟⣛⣛⣋⣩⣭⣭⣭⣥⣤⣤⣤⣤⣀⣀⡀⠀⠀⠀⠉⠃⠀⠂⡏⠀⡇⢰⣾⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢄⣀⣀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⢓⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿ ⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⣄⡀⠀⠀⠘⡹⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠀⣀⠀⣾⣿ ⢸⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣰⣿⣿⣷⣦⣥⣷⣿⣿⣿⣿⣿⣿⣿⠀⠀⠐⠛⢣⠁⣠⣠⣿⣿⣅⠈⠀⠹⠿ ⢸⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠉⠙⠛⠿⢿⣿⣿⣿⣿⣿⡏⠉⠈⣿⠀⠀⣤⣥⣽⣿⣿⣿⣿⣿⣿⣧⣄⡀⠀ ⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠰⣶⣰⣾⣿⣿⣿⣿⣯⣠⣄⠀⣽⠀⠀⢹⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⢟⠃⣰⣿⠀⠀⠈⠉⢹⣟⣻⣿⣿⣿⣿⣹⠿⠿⠋ ⢸⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠋⠩⣭⣍⣉⣉⣙⠛⠛⠓⠄⠀⠺⣿⣿⣿⣿⡿⠿⠉⠉⢡⣾⣾⣿⣿⡀⠀⣠⣀⣾⣅⣹⣿⣿⣿⣿⣛⣓⣄⡄ ⢸⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠻⠿⠿⠿⠿⠿⠿⠿⠿⠛⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠉⢸⣿⣿⣿⣿⣿⡇⠀⠀⠸⠛⣿⣿⣿⣿⡟⢀⣴⣿⣿⣿⣿⣿⣿⡄⢹⣿⢿⡿⣿⡿⣿⣿⣿⣿⡇⠋⠀ ⢸⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠈⣿⣿⡿⣡⡾⣿⣿⣿⣿⣿⣿⣿⣷⠀⠈⠀⠛⠛⡗⠛⠛⢻⠛⠃⠑⠀ ⢨⣿⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⣶⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣧⣤⣤⡄⠀⣼⣿⡟⢠⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⡧⠄⠀⢸⠀⠀⠀⠀ ⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⠷⠳⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣇⢀⣹⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡶⠽⠤⢤⠤⠍⠉⣉⣉⢉⣉⣩⡅ ⠸⠂⠾⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣀⣀⣋⣀⣀⣀⡀⠀⠀⠀⠀⠘⠛⠛⠛⠿⠟⠛⢿⣿⣿⠟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠣⠷⠒⠒⠒⠒⠂⠀⠄⠠⠠⣤⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣷⣶⣶⡏⢶⠄⠰⢶⣶⣖⣀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⣀⣀⣀⣀⣀⣀⢀⣀⡀⠀⢀⣀⣀⣀⣿⣿⣿⣿⣿⣻⣿⣟⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ䷩ 𝚕𝚒𝚗𝚎 2052 ╒═══════════════════ 𝐃𝐀𝐈𝐋𝐘 𝐋𝐈𝐍𝐊𝐒 ═════════════════════════════════════════════╕ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 06.03.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ Links_03/06/2022:_GSoC_2022_Projects_and_More⠀✐ Posted in News_Roundup at 2:04 pm by Dr. Roy Schestowitz 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈ § Contents⠀➾ * GNU/Linux o Desktop/Laptop o Applications o Instructionals/Technical o Games o Desktop_Environments/WMs # GNOME_Desktop/GTK * Distributions_and_Operating_Systems o Fedora_Family_/_IBM * Free,_Libre,_and_Open_Source_Software o Web_Browsers # Mozilla o SaaS/Back_End/Databases o Productivity_Software/LibreOffice/Calligra o GNU_Projects o Programming/Development # Perl_/_Raku # Python * Leftovers o Security o Civil_Rights/Policing o Internet_Policy/Net_Neutrality * § GNU/Linux⠀➾ o § Desktop/Laptop⠀➾ # ⚓ HowTo Geek ☛ HP_and_System76_Teamed_Up_to_Build_a_Powerful Linux_Laptop⠀⇛ System76 has been selling some of the best Linux laptops for years, but now the company is teaming up with HP to sell the ‘HP Dev One’ — a laptop built for developers with System76’s custom flavor of Linux. System76 has plenty of its own laptops and desktops, and in 2017, it started developing its own variant of Ubuntu Linux called Pop!_OS. Pop is now a popular Linux distribution in its own right, with a customized desktop interface and additional built-in drivers, and the OS can be installed on third-party PCs. However, the only computers that shipped with Pop were from System76 itself… until now. HP has started accepting pre-orders for the HP Dev One, a new laptop primarily aimed at development work. It appears to be a slightly-customized version of the HP EliteBook 845 G8, with an 8-core/ 16-thread AMD Ryzen 7 Pro 5850U processor, a 14- inch LED screen (without touch), a glass touchpad, a 1TB NVMe SSD for storage, 16GB RAM, and a 720p camera. That amount of RAM might be too little for some development work, but System76 confirmed that the SSD, Wi-Fi card, and RAM can be easily replaced or upgraded. o § Applications⠀➾ # ⚓ Medevel ☛ MyDrive_is_an_open-source_self-hosted_Google Drive_alternative_and_DMS⠀⇛ MyDrive is an Open Source cloud file storage server (Similar To Google Drive). Host myDrive on your own server or trusted platform and then access myDrive through your web browser. MyDrive uses mongoDB to store file/folder metadata, and supports multiple databases to store the file chunks, such as Amazon S3, the Filesystem, or just MongoDB. MyDrive is built using Node.js, and Typescript. The service now even supports Docker images! # ⚓ Medevel ☛ GrapesJS:_an_Outstanding_Open-source_Web_Visual Builder⠀⇛ GrapesJS is an open-source, multipurpose, Web Builder Framework which combines different tools and features with the goal to help you (or users of your application) to build HTML templates without any knowledge of coding. [...] GrapesJS is released under the BSD 3-clause License. # ⚓ Medevel ☛ Uppy_is_an_Open-source_self-hosted_file uploader⠀⇛ Uppy licensed under the MIT license. It is written with JavaScript. o § Instructionals/Technical⠀➾ # ⚓ Network World ☛ Use_bash_to_change_an_IP_address_from dynamic_to_static_on_Linux⠀⇛ Changing the IP address of a Linux system from dynamic to static is not difficult, but requires a little care and a set of commands that you likely rarely use. This post provides a bash script that will run through the process, collect the needed information and then issue the commands required to make the changes while asking as little as possible from the person running it. The bulk of the script focusses on making sure that the correct settings are used. For example, it collects the 36-charater universally unique identifier (UUID) from the system so that you never have to type it in or copy and paste it into place. # ⚓ Video ☛ How_to_install_Linux_Lite_6.0_–_Invidious⠀⇛ In this video, I am going to show how to Linux Lite 6.0. # ⚓ ID Root ☛ How_To_Install_VirtualBox_on_AlmaLinux_9_– idroot⠀⇛ In this tutorial, we will show you how to install VirtualBox on AlmaLinux 9. For those of you who didn’t know, VirtualBox is a free and open-source virtualization software commonly used at the desktop level to create a test environment. Using VirtualBox you can run Windows on Linux Machine and Linux on a Windows machine without getting into complications of installing a dual boot operating system. VirtualBox may be installed on Windows, macOS, Linux, and Solaris. This article assumes you have at least basic knowledge of Linux, know how to use the shell, and most importantly, you host your site on your own VPS. The installation is quite simple and assumes you are running in the root account, if not you may need to add ‘sudo‘ to the commands to get root privileges. I will show you the step-by-step installation of the VirtualBox virtualization on AlmaLinux 9. You can follow the same instructions for CentOS and Rocky Linux. # ⚓ ByteXD ☛ How_to_Flush_DNS_Cache_in_Ubuntu_22.04_–_ByteXD⠀⇛ In this article you will learn what is the purpose of DNS caching and why it is important to flush it. Additionally you’ll be acquainted with how to clear DNS cache using the system-resolved service. In order to understand the importance of flushing your DNS cache, first we need to break down some several components. # ⚓ Linux Hint ☛ Improve_SD_Card_Lifespan_Using_Log2RAM_– Raspberry_Pi⠀⇛ The Raspberry Pi uses the SD-card as a primary storage device allowing users the space to install different applications or packages on the device. However, it also gets hammered with the presence of excess log files (system record files) that may reduce the performance and lifespan of the SD-card. Log2RAM is a bunch of scripts designed especially for the Raspberry Pi users that changes the physical location of log files to RAM in order to increase the SD card performance. # ⚓ Linux Hint ☛ How_to_Configure_and_Run_Stadia_on_Raspberry Pi⠀⇛ Stadia is a google cloud gaming service that provides the service to play different high-end AAA games online. You can access Stadia on any device using a web browser. However, on the Raspberry Pi device, you will require to set up a few things so that you would be able to run the platform on the device. If you don’t know how to run Stadia on Raspberry Pi, go through this article’s guidelines. # ⚓ Linux Hint ☛ How_to_build_your_first_Raspberry_Pi Cluster?⠀⇛ Raspberry Pi is an extremely lightweight device utilized to explore computing and learning how to program. However, its processor isn’t that powerful in performing multiple high-computational tasks all at once. For example, if you are using this device for mining purposes, it may heat up too early because it doesn’t have much capacity to perform these tasks single handily. In that case, you will surely need to build a Raspberry Pi cluster to speed up the performance of your Raspberry Pi device. This article will guide you in building your first Raspberry Pi cluster. However, before going into the details, let’s first discuss the Raspberry Pi cluster. # ⚓ How_To_Remove_Your_Personal_Information_From_The_Internet⠀⇛ Today you’ll learn how to opt-out and remove your personal data from people search engine sites. The opt-out procedures will be shown at the bottom of this post, for those who want to skip ahead. In case you didn’t know. Your sensitive personal information, including your name, phone number, home address and even financial records are visible on the web. # ⚓ Ubuntu Handbook ☛ How_to_Easily_Zoom_in/out_Your_Screen_in Ubuntu_22.04_LTS_|_UbuntuHandbook⠀⇛ Want to zoom in or zoom out your screen content? It’s easy to do the job via the system built-in magnifier tool. If you just want to magnify your web pages, press Ctrl and + key combination on keyboard can do the trick in the most web browsers. For others, Ubuntu has a built-in screen magnifier. It’s definitely the GNOME feature that also works in Fedora Workstation, and other Linux with the desktop environment. Which, can be useful when recording video tutorials. # ⚓ ID Root ☛ How_To_Install_CSF_Firewall_on_Ubuntu_22.04_LTS_– idroot⠀⇛ In this tutorial, we will show you how to install CSF Firewall on Ubuntu 22.04 LTS. For those of you who didn’t know, ConfigServer Security & Firewall (csf) is an open source software firewall application. It is working based on iptables. Firewall configuration script created to provide better security for your server while giving you an easy to use, advanced interface for managing your firewall settings. CSF configures your server’s firewall to lock down public access to services and only allow certain connections. This article assumes you have at least basic knowledge of Linux, know how to use the shell, and most importantly, you host your site on your own VPS. The installation is quite simple and assumes you are running in the root account, if not you may need to add ‘sudo‘ to the commands to get root privileges. I will show you the step-by-step installation of the CSF Firewall on Ubuntu 22.04 (Jammy Jellyfish). You can follow the same instructions for Ubuntu 22.04 and any other Debian- based distribution like Linux Mint, Elementary OS, Pop!_OS, and more as well. # ⚓ Install_Wine_7.9_On_Ubuntu_22.04_&_Linux_Mint_|_Tips_On UNIX⠀⇛ This tutorial will be helpful for beginners to install wine 7.9 on Ubuntu 22.04 LTS, Ubuntu 20.04, and Linux Mint 20.3. # ⚓ Linux Capable ☛ How_to_Install_Sails.js_Framework_with Nginx_on_AlmaLinux_9⠀⇛ Sails.js is a Javascript framework that you can easily and quickly build customized enterprise- grade for Node.js. It resembles the MVC architecture from such frameworks as Ruby on Rails but with improved support for the more data- oriented modern style of developing web applications and is compatible with other front- end, including Angular, React iOS, Android, Windows Phone, and much more. In the following tutorial, you will learn how to install Sails.js on AlmaLinux 9 and how to access the web-based interface by installing and configuring an Nginx reverse proxy setup. # ⚓ FOSSLife ☛ The_Linux_cheat_Command⠀⇛ The Linux cheat command lets you search for and display a list of example tasks you might do with a command, writes Seth Kenlon. # ⚓ Network World ☛ Connecting_to_your_Linux_system_with_your Android_phone_|_Network_World⠀⇛ While using your cell phone to connect to your Linux system might not seem like much of a priority, it is possible and you might have a good reason to do this from time to time. If you have an Android cell phone, you can install a tool that will allow you to connect, open a terminal session on your Linux box and run commands just like you would if you were sitting in front of the system. Well, almost. The tool that I recommend is called JuiceSSH. It installs easily and leaves an icon with an image of a lemon with its name below it on your screen. Click on that icon and select Quick Connect to set up your connection. # ⚓ Using_Gandi_DNS_for_Let’s_Encrypt_certbot_verification⠀⇛ I had some problems getting the Gandi certbot plugin to work in Debian bullseye since the documentation appears to be outdated. o § Games⠀➾ # ⚓ Boiling Steam ☛ New_Steam_Games_with_Native_Linux_Clients_– 2022-06-03_Edition_–_Boiling_Steam⠀⇛ Between 2022-05-27 and 2022-06-03 there were 31 New Steam games released with Native Linux clients. For reference, during the same time, there were 290 games released for Windows on Steam, so the Linux versions represent about 10.7 % of total released titles. Here’s a quick pick of the most interesting ones… o § Desktop Environments/WMs⠀➾ # § GNOME Desktop/GTK⠀➾ # ⚓ Utkarsh_Gandhi:_Inrotductory_Post⠀⇛ I’m Utkarsh Gandhi, a 20-year-old, second- year B.Tech student. I have been coding for a few years now but had never contributed to an open-source project before. My seniors advised me to participate in GSoC as it is the best way to start contributing to open source projects. I looked at a lot of organisations, but none of them seemed right. Then finally, GNOME caught my eye. I had been using the GNOME desktop environment and its applications for a year, so this seemed like the perfect opportunity for me to give back to this organisation. I knew this would be the right fit for me. I started contributing to GNOME (more specifically Nautilus) around mid-February this year. I chose Nautilus as it is one of those applications which I use on a daily basis, and it just seemed logical to try and contribute to the app which is really important to me. * § Distributions and Operating Systems⠀➾ o § Fedora Family / IBM⠀➾ # ⚓ 9to5Linux ☛ Help_Shape_Fedora_Linux’s_Future_by_Taking_the Fedora_Contributor_Survey_2022⠀⇛ If you’re a Fedora Linux user or a Fedora Project contributor, the development team behind this popular and powerful GNU/Linux distribution would love to hear from you and they invite anyone interested in shaping Fedora Linux‘s future to take the annual Fedora Contributor Survey. Powered by LimeSurvey, the Fedora Contributor Survey has a total of 44 questions and it’s split into several sections, starting with basic details about you as a Fedora contributor, member, or user, your familiarity with Linux-based operating systems, what social network you use, and what do you use Fedora Linux for. # ⚓ Fedora Magazaine ☛ Fedora_Linux_editions_part_1:_Official Editions_–_Fedora_Magazine⠀⇛ Fedora Linux provides several variants to meet your needs. You can find an overview of all the Fedora Linux variants in my previous article Introduce the different Fedora Linux editions. This article will go into a little more detail about the Fedora Linux official editions. There are five editions — Fedora Workstation, Fedora Server, Fedora IoT, Fedora CoreOS, and Fedora Silverblue. The Fedora Linux download page currently shows that three of these are official editions and the remaining two are emerging editions. This article will cover all five editions. # ⚓ Red Hat Official ☛ High_availability_for_SAP_on_Red_Hat Enterprise_Linux⠀⇛ Red Hat Enterprise Linux (RHEL) has been providing high availability (HA) for business critical workloads at the application and database (DB) level for years, helping maximize uptime and minimize unplanned disruptions of service, making critical environments more resilient. # ⚓ Fedora Project ☛ Fedora_Community_Blog:_CPE_Weekly_Update_– Week_22_2022⠀⇛ Purpose of this team is to take care of day to day business regarding CentOS and Fedora Infrastructure and Fedora release engineering work. * § Free, Libre, and Open Source Software⠀➾ o § Web Browsers⠀➾ # § Mozilla⠀➾ # ⚓ Mozilla ☛ Introducing_Ryan_Johnson⠀⇛ Please join me to welcome Ryan Johnson to the Customer Experience team as a Staff Software Engineer. He will be working closely with Tasos to maintain and improve the Mozilla Support platform. o § SaaS/Back End/Databases⠀➾ # ⚓ PostgreSQL ☛ PostgreSQL:_pgtt_v2.8.0_has_been_published⠀⇛ pgtt is a PostgreSQL extension to create, manage and use Oracle-style Global Temporary Tables. The main interest of this extension is to reproduce Oracle behavior with GTT when you can not or don’t want to rewrite the application code when migrating to PostgreSQL. In all other case best is to rewrite the code to use standard PostgreSQL temporary tables. # ⚓ PostgreSQL ☛ PostgreSQL:_pgcluu_v3.3_released⠀⇛ pgCluu is a Perl program used to perform a full audit of a PostgreSQL Cluster performances. It is divided in two parts, a collector used to grab statistics on the PostgreSQL server using psql and sar, a reports builder that will generate all HTML and charts output. This release is a maintenance release that fixes issues reported by users since past nine months. It also adds new reports and features. o § Productivity Software/LibreOffice/Calligra⠀➾ # ⚓ Document Foundation ☛ LibreOffice_project_and_community recap:_May_2022⠀⇛ Here’s our summary of updates, events and activities in the LibreOffice project in the last four weeks – click the links to learn more… o § GNU Projects⠀➾ # ⚓ GSoC_2022_project_announced:_CMYK_features⠀⇛ The cat is out of the bag: Nikc, a Google Summer of Code student, is working this year on getting CMYK features into GIMP. Let’s talk about this in a little more detail. For the record, we only requested this unique project slot to Google. Nikc discussed beforehand with us to understand the needs, the project current state as well as the wanted direction. They also contributed patches before GSoC selection so we knew how they interact during code review. If anyone is interested in GSoC in future years, please consider communicating with us like this, not just dropping a proposal without contacting us on our mailing lists or IRC. o § Programming/Development⠀➾ # ⚓ OpenSource.com ☛ How_static_linking_works_on_Linux_| Opensource.com⠀⇛ Code for applications written using C usually has multiple source files, but ultimately you will need to compile them into a single executable. You can do this in two ways: by creating a static library or a dynamic library (also called a shared library). These two types of libraries vary in terms of how they are created and linked. Your choice of which to use depends on your use case. In a previous article, I demonstrated how to create a dynamically linked executable, which is the more commonly used method. In this article, I explain how to create a statically linked executable. # ⚓ Linux Hint ☛ Dart_Conditionals⠀⇛ Decision-making expressions are those which let programmers choose which statement to execute under different circumstances. Conditional statements are used in different programming languages to inform the computer on what factors to make when certain conditions are met. These decisions are taken only if the already stated conditions are true or false: it depends on the functions in the mind of the programmer. The if statement, if-else statement, and if-else-if statements are often used in Dart to introduce the conditional implementation of statements based on one or more Boolean expressions. The syntax within the example of the Dart If statement, If-Else statement, If-Else-If ladder, and nested If-Else statement will be covered in this tutorial. # ⚓ Linux Hint ☛ Dart_Interfaces⠀⇛ An interface in the Dart programming language is considered as a way of creating abstraction within your code. The Dart interface acts as a blueprint for all the classes that wish to implement this interface. Afterwards, these classes are required to provide their own implementations for all the interface methods. In this article, we will teach you the use of the interfaces in the Dart programming language in Ubuntu 20.04. # ⚓ Linux Hint ☛ Dart_Sets⠀⇛ A set in the Dart programming language is defined as a collection of multiple elements of the same data type. However, each of these elements needs to be unique. In this guide, we will study the usage of the Dart sets in Ubuntu 20.04 by going through some simple yet helpful examples. # ⚓ Linux Hint ☛ Dynamic_Memory_Allocation_in_C⠀⇛ In DMA, the decision on memories that are allocated cannot take during the compile time. This decision or memory is allocated during the Runtime. Whenever we create any variable through DMA, that type of variables do not have any name; we access these variables through address or pointer. In SMA, Programmer knows from earlier time that how many Variables or How many memories are required for his/her program. But In DMA, programmer does not know from earlier state that how many variables or memory is required, it depends upon the user’s requirement. # ⚓ Linux Hint ☛ Arithmetic_Operator_in_C⠀⇛ There are several types of operators are present in C languages. With these operators, we can manipulate different types of operands or data with different procedure. Arithmetic operator is one of the operators by which we can operate different types of mathematical values. First, we have to see that what the position of arithmetic operator in operator groups is. # ⚓ Qt ☛ VR_with_Qt_Quick_3D—source_code_now_available⠀⇛ Some of that work is already part of Qt: Qt Quick 3D Physics will be released as Tech Preview in Qt 6.4. The VR part is not currently on the roadmap, however, so we haven’t got to the stage where we polish the module to Qt levels of quality. But it is still a lot of fun to play around with, and it is amazing to be able to experience a Qt Quick 3D scene in VR by just adding a couple of lines of code. # ⚓ Barry Kauler ☛ User_override_of_top-level_zram⠀⇛ This means that as you use the applications, download packages, etc., it will all be happening in zram, with no writes to the drive. Instead, there is a “save” icon on the desktop, and save is offered at shutdown, when or if you want to save the work to the drive. This is great for a flash drive, where you likely want to limit writes to the drive; however, if Easy is installed to a HDD or a high-quality SSD, it will not be such a concern. In that case, you might prefer the previous behaviour with direct writes to the drive, and no “save” icon on the desktop. I know that some people prefer to have a “save” icon anyway, as a security measure. That is, if something happens that you don’t like, just shutdown without saving. Anyway, there is now a mechanism for users to override the default setting for top-level-zram… # § Perl / Raku⠀➾ # ⚓ Perl ☛ Enlarging_the_Perlosphere⠀⇛ # § Python⠀➾ # ⚓ Linux Hint ☛ Numpy_Np.Apply_Along_Axis⠀⇛ The apply_along_axis() function is used to apply a specific function to a 1D slice along a specified axis. # ⚓ Linux Hint ☛ Numpy_Np.Add.At⠀⇛ The add.at a function in NumPy allows you to perform an in-place operation on the left- side operand. In the case of an addition operation, the function will add the right operand to the left operand at the specified array index. # ⚓ Linux Hint ☛ Numpy_Fromfile⠀⇛ This article will discuss saving and reading a NumPy array to and from a binary file. # ⚓ Linux Hint ☛ NumPy_Count_True⠀⇛ We have an array containing Boolean elements. The goal is to determine how many of those elements in the array are True. # ⚓ Linux Hint ☛ Find_Strings_in_Pandas⠀⇛ This article will help you understand various methods we can use to search for a string in a Pandas DataFrame. # ⚓ Linux Hint ☛ Pandas_Combine_Date_and_Time⠀⇛ This short article will discuss how you can create a Pandas timestamp object by combining date and time strings. * § Leftovers⠀➾ o § Security⠀➾ # ⚓ LWN ☛ Security_updates_for_Friday_[LWN.net]⠀⇛ Security updates have been issued by Debian (cifs- utils, debian-security-support, and pypdf2), Fedora (fapolicyd, mariadb, openssl, and qt5-qtbase), Oracle (firefox, maven:3.5, maven:3.6, postgresql: 10, postgresql:12, and postgresql:13), Red Hat (.NET 6.0, firefox, gzip, java-1.8.0-openjdk, java- 11-openjdk, java-17-openjdk, pcs, rsync, subversion, thunderbird, and zlib), Scientific Linux (thunderbird), Slackware (mozilla), SUSE (firefox, hdf5, suse-hpc, kernel-firmware, libarchive, patch, php8, and redis), and Ubuntu (cifs-utils and vim). # ⚓ Diffoscope ☛ Reproducible_Builds_(diffoscope):_diffoscope 215_released⠀⇛ The diffoscope maintainers are pleased to announce the release of diffoscope version 215. This version includes the following changes: [ Chris Lamb ] * Bug fixes: - Also catch IndexError (in addition to ValueError) when parsing .pyc files. (Closes: #1012258) - Strip "sticky" etc. from "x.deb: sticky Debian binary package […]". Thanks to David Prévot for the report. (Closes: #1011635) - Correctly package diffoscope's scripts/ directory, fixing the extraction of vmlinuz kernel images. (Closes: reproducible-builds/diffoscope#305) - Correct the logic for supporting different versions of argcomplete in debian/rules. * New features: - Support both PyPDF 1.x and 2.x. * Codebase improvements: - Don't call re.compile and then call .sub on the result; just call re.sub directly. - Clarify the logic around the difference between --usage and --help. * Testsuite improvements: - Integrate test coverage with GitLab's concept of artifacts. - Re-enable Gnumeric tests as its now available again. - Test --help and --usage, and additionally test that --help includes the programmatically-generated file format list as well. [ Holger Levsen ] * Bump Standards Version field in debian/control to 4.6.1. ⚓ eSecurity Planet ☛ Millions_of_MySQL_Servers_are_Publicly_Exposed [Ed: Something being reachable does not imply it being breached, unlike with Microsoft; you might say this enables DDOS attacks, but then again those databases can be connected to sites that are publicly exposed and which can be DDOSed too]⠀⇛ More than 3.6 million MySQL servers are publicly exposed on the internet, security researchers noted this week. Shadow Server Foundation researchers reported that they simply issued a MySQL connection request on default port 3306 to see if a server responded with a MySQL Server Greeting, rather than intrusive requests that pentesters use to break into databases. ⚓ Raphaël_Hertzog:_Freexian’s_report_about_Debian_Long_Term_Support,_April 2022⠀⇛ Two projects are currently in the pipeline: Gradle enterprise and Tryton update. Progress is quite slow on the Gradle one, there are technical difficulties. The tryton one was stalled because the developer had not enough time but seems to progress smoothly in the last weeks. § Civil Rights/Policing⠀➾ * ⚓ TheNewArab ☛ Syrian_regime_arrests_citizens_under_new_cybercrime_law⠀⇛ * ⚓ AccessNow ☛ U.S.-Canadian_firm_Sandvine_fosters_Russian_censorship infrastructure⠀⇛ Infamous Canadian-American company, Sandvine Corporation, owned by a notorious Silicon Valley investment firm, Francisco Partners, was providing Russia with Deep Packet Inspection (DPI) technologies, according to a Bloomberg investigation published today. Access Now calls on Sandvine to immediately withdraw all technology from Russia that could be used for censorship and surveillance, and for the U.S. government to launch a full investigation into Sandvine’s involvement in Russia and other countries with human rights abuses, and implement robust regulations of technologies that can be misused for human rights violations. Sandvine has been selling DPI technologies through its Russian partners, state-owned Tele2 Russia and Megafon. Sandvine’s DPI tech has helped facilitate human rights abuses in more than a dozen countries, including Egypt, Syria, Turkey, and, most recently, in Belarus—where the company was forced to pull out its business in 2020 after scandal and pressure from U.S. officials, diaspora groups, and human rights organizations, led by Access Now. § Internet Policy/Net Neutrality⠀➾ * ⚓ Some_Thoughts_on_Spartan⠀⇛ Spartan is seeing a fair bit of adoption it would seem, including some software that I author and now my own Gemini capsule being mirrored on Spartan as of last night. It is an interesting protocol and very easy to work with, and handily solves certain issues that one might have with Gemini in a clever way. That said, I have mixed feelings about Spartan, especially when taken together with Gemini. On the one hand, the simplification that goes hand in hand with ditching tls makes the protocol even simpler than one might expect, and the prompt line idea is a nice way to skip a round trip to the server. I also rather like the fact that cross site redirects are not allowed, and rather wish that Gemini had gone this way to begin with. * ⚓ The Record ☛ It’s_exam_time_in_Syria_—_and_that_means_internet shutdowns⠀⇛ As hundreds of thousands of Syrian high school students sit to take national exams, their government is taking an extreme proctoring measure: shutting down national internet access. Syria’s authoritarian regime has long kept a tight grip on the country’s internet access via government-affiliated Syrian Telecom, which controls the primary routes web traffic can transit in and out of the country. Internet shutdowns became common during the ongoing Syrian Civil War — but have been deployed in the country for years to prevent academic misconduct. How well Syrian students do on their final high school exams is a primary factor in what higher education options they can access — defining the economic futures of many. That puts a lot of pressure on students and even family members who may be looking to help the next generation gain whatever advantage possible amidst years of conflict. “The stakes for the exams are so high and there’s an assumption that everyone is cheating,” said Doug Madory, director of internet analysis at Kentik. Prior to Syria implementing the exam blackouts, “questions would begin appearing on social media 30-60 minutes before each exam, thus allowing cheaters to circulate correct answers and compromise the integrity of the test,” Madory wrote in a 2016 blog post chronicling what’s believed to be the first round of Syrian academic internet outages. The way the exam blackouts typically operate in Syria is by blocking fixed line and mobile internet access in the hours before the exams as paper tests are printed and physically distributed across the country. Mobile service remains down while students take the tests, according to Madory. The recent outages appear to be implemented by taking down the routes that announce how internet traffic comes into the country, he said. Local state-funded outlet Syria TV noted the outages are happening again, despite Syria’s education minister saying last summer they would be canceled in the coming year. ䷩ 𝚕𝚒𝚗𝚎 3089 ╒═══════════════════ 𝐃𝐀𝐈𝐋𝐘 𝐋𝐈𝐍𝐊𝐒 ═════════════════════════════════════════════╕ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 06.03.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ Links_04/06/2022:_Notkia_and_Severe_Flaws_in_Dominion_Voting_Systems⠀✐ Posted in News_Roundup at 6:14 pm by Dr. Roy Schestowitz 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈ § Contents⠀➾ * GNU/Linux o Audiocasts/Shows o Instructionals/Technical o Desktop_Environments/WMs # GNOME_Desktop/GTK * Distributions_and_Operating_Systems o New_Releases o BSD o Fedora_Family_/_IBM o Devices/Embedded o Open_Hardware/Modding o Mobile_Systems/Mobile_Applications * Free,_Libre,_and_Open_Source_Software o Web_Browsers # Mozilla o Productivity_Software/LibreOffice/Calligra o Programming/Development # Perl_/_Raku * Leftovers o Science o Hardware o Health/Nutrition/Agriculture o Security # Privacy/Surveillance o Defence/Aggression o Environment # Energy o AstroTurf/Lobbying/Politics o Digital_Restrictions_(DRM) o Monopolies # Copyrights * § GNU/Linux⠀➾ o ⚓ Liliputing ☛ Notkia_puts_a_Linux_PC_inside_the_shell_of_a_Nokia 1680_cellphone⠀⇛ he Nokia 1680 classic is a basic cellphone that was released in 2008 just as smartphones were starting to become a thing. Designed for phone calls, texting, and not much else, the phone has a small screen, a numeric keypad, and support for 2G networks. But a hardware hacker going by Remu NotMoe has scooped out the guts of the phone and replaced them with a custom printed circuit board (PCB) and other components to transform the Nokia 1680 classic into the Notkia: a pocket-sized Linux computer/communication device. o § Audiocasts/Shows⠀➾ # ⚓ Video ☛ Write_A_Script_To_Search_the_Arch_Wiki_(OFFLINE!)_– Invidious⠀⇛ Every few weeks, I get the sudden urge to do some bash scripting. Today, I’m going to create a simple bash script that uses dmenu to search an offline copy of the Arch Wiki. Follow along with me, and we should be able to knock this script out in under 30 minutes. # ⚓ Video ☛ The_official_Steam_Deck_Dock_was_DELAYED!_– Invidious⠀⇛ # ⚓ Video ☛ A_BRAND_NEW_Steam_Deck_update_just_hit!_– Invidious⠀⇛ # ⚓ Video ☛ The_Story_of_the_Internet_and_How_it_Broke_Bad:_A Call_For_Public-Interest_Technologists_–_Invidious⠀⇛ Bruce Schneier at the International Symposium on Technology and Society, November 12, 2020. o § Instructionals/Technical⠀➾ # ⚓ markaicode by Mark ☛ How_to_Install_Fail2ban_on_Ubuntu 22.04_|_Mark_Ai_Code⠀⇛ Fail2ban is a free and open-source IPS that helps administrators safeguard Linux servers against brute-force assaults. Python-based Fail2ban has filters for Apache2, SSH, FTP, etc. Fail2ban blocks the IP addresses of fraudulent login attempts. Fail2ban scans service log files (e.g. /var/log/ auth.log) and bans IP addresses that reveal fraudulent login attempts, such as too many wrong passwords, seeking vulnerabilities, etc. Fail2ban supports iptables, ufw, and firewalld. Set up email alerts for blocked login attempts. # ⚓ HowTo Geek ☛ How_to_Use_the_scp_Command_on_Linux⠀⇛ The scp command makes copying files between Linux computers easy and secure. It uses SSH security, but best of all, it is simple. If you can use cp, you can use scp. # ⚓ TechRepublic ☛ How_to_deploy_Joomla_with_Docker_| TechRepublic⠀⇛ Joomla is a world-class, open-source content management system that is search-engine and mobile- friendly, multilingual and flexible; it also offers unlimited design potential. With more than 110 million downloads, 10,000+ extensions and templates, Joomla is used on 2 million+ websites. You might deploy Joomla for business websites or portals, e-commerce or online publications. With the help of Docker, you can quickly deploy a containerized version of Joomla and use it for just about anything. Let’s do just that. # ⚓ Setup_Replicated_GlusterFS_Volume_on_Ubuntu_– kifarunix.com⠀⇛ Follow through this tutorial to learn how to setup replicated GlusterFS volume on Ubuntu. There are different types of Volume architectures that you may want to consider. # ⚓ How_to_Add_User_in_Linux_–_Linux_Nightly⠀⇛ In this tutorial, you will see how to create a new user in Linux from command line and GUI. # ⚓ Easy_multifactor_authentication_in_Django_–_Oli_Warner⠀⇛ Use django-multifactor to make your Django websites extra-secure by requiring a secondary authentication factor. Disclaimer: I made this. # ⚓ Linux Made Simple ☛ How_to_install_AbiWord_on_a Chromebook⠀⇛ Today we are looking at how to install AbiWord on a Chromebook. Please follow the video/audio guide as a tutorial where we explain the process step by step and use the commands below. # ⚓ TechRepublic ☛ How_to_manage_Flatpak_permissions_with Flatseal_|_TechRepublic⠀⇛ Flatpak apps are gaining serious popularity on Linux distributions but managing the permissions of those apps can be a challenge. But with this handy GUI tool, those permissions are simple to deal with. # ⚓ Nasdaq ☛ Why_You_Should_Use_A_Computer_Specifically_Meant For_Bitcoin_Transactions_And_How_To_Do_It⠀⇛ Tails is an operating system that boots from a USB thumb drive and temporarily takes over the hardware of any computer. It uses Tor connections only, so you’d need to be comfortable using Tor. None of the data that you write to memory during your session is saved to the drive (it starts fresh every time), unless you tweak the settings and create a permanent storage option (on the USB thumb drive), which you lock with a password. It’s not a bad option and it’s free, but it’s a little clunky for our purposes. Installing new software on it is not a breeze. One good feature is that it comes with Electrum, but the downside of this is that you didn’t install it yourself. Make sure the USB drive you use is at least 8GB. Your flexibility is reduced if you use Tails. You may not be able to follow various guides to set up what you need and get it working properly. For example, if you follow my guide to installing Bitcoin Core, there are modifications needed to make it work. I don’t think I’ll be making a Tails specific guide, so you’d need to build your skills and do it alone. I also am not sure how well hardware wallets will interact with this OS. Having said all this, a Tails computer for bitcoin transactions is a nice additional option, and it will certainly help your overall privacy skills to learn to use Tails. o § Desktop Environments/WMs⠀➾ # ⚓ State_of_the_Budgie:_May_2022⠀⇛ One of the biggest developments this month is that we held our first two workshops, where we talked about a wide range of topic from our Core Values, Consensus Creation, organization structure, Budgie 10 development items, Budgie 11 – and more. The goal of these workshops was to provide a transparent process for everyone to get involved and express their thoughts / opinions, whether they were brand new faces to the community, long-time contributors, or just folks dropping by in Twitch chat. These were held over Google Meet and used Miro for our collaborative whiteboard. # ⚓ OS News ☛ Budgie_team_details_plans_for_Budgie_10,_11⠀⇛ Joshua Strobl, the lead developer of Budgie, the (currently) Gtk+-based desktop, posted a lengthy article about the state of the project and the future it’s embarking on. Budgie had been in a feature-freeze and maintenance mode for a long time, but now that Strobl is no longer involved with the Linux distribution Solus, Budgie has become truly independent, and development can pick up again. The article touches upon a lot – such as the way the Budgie developers intend to lead the project, how they want to involve the community as much as they can, and similar things. They don’t want to mandate defaults or force distributions into “stock” Budgie. They intend to take this pretty far. # § GNOME Desktop/GTK⠀➾ # ⚓ #46_Going_Mobile_·_This_Week_in_GNOME⠀⇛ Update on what happened across the GNOME project in the week from May 27 to June 03. # ⚓ ep0:_The_Journey_Begins_|_My_Blog⠀⇛ Hey! I’m Thejas Kiran P S, a sophomore pursuing my Bachelor’s in Computer Science. I have been selected to GNOME organization as a GSoC’22 contributor and will be working on Pitivi. Pitivi is a non-linear video editor based on the GStreamer Editing Services library. # ⚓ My_Vacation_in_Android_Land_|_Indulgent_Ramblings⠀⇛ Recently I was pulled into a project to build an Android app at Endless. While Android is Linux, it’s quite a bit different than “traditional” Linux. In our case, we’re trying to assemble a Python app into an Android app using python-for-android (aka, p4a). As you might imagine, this adds a couple more layers to the mix, which is always fun. * § Distributions and Operating Systems⠀➾ o § New Releases⠀➾ # ⚓ LWN ☛ NixOS_22.05_released⠀⇛ Version 22.05 of the NixOS distribution is out. “”NixOS is already known as the most up to date distribution and is the distribution with the most packages. This release saw 9345 new packages and 10666 updated packages””. Significant changes include an update to version 2.8.0 of the Nix package manager with experimental support for flakes, GNOME 42, and many new services; see the release notes for details. o § BSD⠀➾ # ⚓ TechRepublic ☛ pfSense_vs_Netgear_Router:_Compare_Features &_Pricing⠀⇛ pfSense is a fully open-source network firewall solution that is free to use and is based on the FreeBSD operating system. It works with a host of routers and appliances, and you can even build your own if you need the added customization and options. pfSense also offers its own routers under the name Netgate for those who want an experience closer to a bundled hardware and software option, such as with Netgear, but with the added options and flexibility pfSense offers. o § Fedora Family / IBM⠀➾ # ⚓ Fedora Project ☛ Fedora_Community_Blog:_Friday’s_Fedora Facts:_2022-22 [Ed: As a matter of fact, IBM has scared or even banned a lot of Fedora volunteers]⠀⇛ Here’s your weekly Fedora report. Read what happened this week and what’s coming up. Your contributions are welcome (see the end of the post)! Fedora Linux 34 reaches end of life on Tuesday 7 June. I have weekly office hours on Wednesdays in the morning and afternoon (US/Eastern time) in #fedora- meeting-1. Drop by if you have any questions or comments about the schedule, Changes, elections, or anything else. See the upcoming meetings for more information. o § Devices/Embedded⠀➾ # ⚓ Digital Trends ☛ The_Astro_Slide_phone_is_a_throwback you’ll_want_to_throw_away_|_Digital_Trends⠀⇛ If you really want a smartphone with a physical keyboard, just how much are you prepared to forgive about the rest of it to get one? That’s the dilemma with Planet Computers’ Astro Slide 5G phone, as sure enough it has a slide-out mechanical keyboard, but the rest of the phone leaves a lot to be desired. o § Open Hardware/Modding⠀➾ # ⚓ Arduino ☛ GetFit_is_a_DIY_fitness_tracker_based_on_the_Nano 33_BLE_Sense_|_Arduino_Blog⠀⇛ When it comes to fitness tracking, the average consumer would most likely reach for a smartwatch or similar wearable band. These all work by using their internal accelerometers and gyroscopes to sense motion and detect when a certain action, such as stepping or lifting a weight, has been completed. But to further simplify the process by eliminating the need to select a workout before starting an exercise routine, Nekhil and Shebin Jacob have worked together to come up with the GetFit fitness tracker. The GetFit is a battery-powered device that uses machine learning to detect not only when an action has been done, but also what kind of workout is being performed. They achieved this by gathering plenty of samples from a Nano 33 BLE Sense’s onboard accelerometer and training a Keras model with the help of the Edge Impulse Studio. It can accurately identify between arm circles, pushups, squats, and anything else in the future while also disregarding anomalous data. # ⚓ Arduino ☛ A_real-world_health_bar_for_Old_School_RuneScape |_Arduino_Blog⠀⇛ For those of us of a certain age, RuneScape provides a deep sense of nostalgia. The original RuneScape MMORPG died off in popularity many years ago, but Old School RuneScape, which launched in 2013, recently gained traction once again. As with most MMORPGs, Old School RuneScape gives the player a health readout in the form of hit points. Austin Blake wanted to see his character’s health in the real world and turned to Arduino to make it happen. Blake chose to display his hit points on a heart- shaped LED array. It indicates health through both color and level. At full health, all of the LEDs light up in green. At half health, only half of the LEDs are lit and they light up in amber. The LEDs are strips of Adafruit NeoPixels and Blake controls them with an Arduino Nano Every board running the FastLED library. Those mount into a 3D-printed frame that Blake designed in Autodesk Fusion 360. o § Mobile Systems/Mobile Applications⠀➾ # ⚓ The Register UK ☛ Murena_and_/e/_Foundation_launch_privacy- centric_smartphones_•_The_Register⠀⇛ The /e/ Foundation’s de-Googled version of Android 10 has reached the market in a range of smartphones aimed at the privacy-conscious. The idea of a privacy-centric version of Android is not new, and efforts to deliver are becoming friendlier all the time. The Register interviewed the founder of the /e/ Foundation in 2020, and reported on /e/ OS doing rather well in privacy tests the following year. Back then, the easiest way to get the OS was to buy a Fairphone, although there was also the option of reflashing one of a short list of supported devices. Now there’s another option: a range of brand-new Murena phones. The company supplied The Register with a Murena One for review, with a pre-release version of the /e/ OS installed. * § Free, Libre, and Open Source Software⠀➾ o ⚓ Adopting_Open_Source_Firmware_Approach_for_Intel_FSP⠀⇛ We have heard you, and we agree with you: “Innovation thrives in an open, democratized environment where people can connect, collaborate, and respond together to new stimuli.…. This free exchange increased our ability to learn from one another.” [1] Under this exact sentiment, we hereby request a pledge from Intel to adopt an open source friendly development approach for silicon firmware delivery. According to the published technical article by Subrata Banik from Google (Open Source Firmware Development: Reduce Firmware Support Package (FSP) boundary on Intel® SoC Platform) [2], there are imminent and industry-wide demands calling for a more open source approach in the host firmware space. Let’s examine the current situation and define the most feasible path forward. o ⚓ Why_the_State_of_Diversity_in_Open_Source_Is_Improving⠀⇛ o ⚓ LinuxCNC_translators_life_just_got_a_bit_easier⠀⇛ Back in oktober last year, when I started looking at the LinuxCNC system, I proposed to change the documentation build system make life easier for translators. The original system consisted of independently written documentation files for each language, with no automated way to track changes done in other translations and no help for the translators to know how much was left to translated. o § Web Browsers⠀➾ # § Mozilla⠀➾ # ⚓ Mozilla ☛ Trevor_Project’s_Kevin_Wong_Shares_What’s In_His_Corner_of_the_Internet⠀⇛ o § Productivity Software/LibreOffice/Calligra⠀➾ # ⚓ ZDNet ☛ ONLYOFFICE_is_the_Google_Workspace_for_your_home office_|_ZDNet⠀⇛ Jack Wallen explains why ONLYOFFICE might be a great Google Workspaces alternative and how to deploy it to a local server with Docker. o § Programming/Development⠀➾ # ⚓ I Programmer ☛ Why_Is_Go_Good?⠀⇛ The five co-creators of the Go language, Russ Cox, Robert Griesemer, Rob Pike, Ian Lance Taylor and Ken Thompson, have co-authored a paper in this month’s edition of Communications of the ACM in which they address the question, Why has Go grown in popularity when so many other language projects have not? As outlined in The Go Programming Language and Environment which is freely accessible online, Go was created at Google in late 2007 and released as open source in November 2009. Since then, it has operated as a public project, with contributions from thousands of individuals and dozens of companies. It is a garbage-collected, statically compiled language with support for concurrency and parallelism, which helped take advantage of the multicore machines that were becoming mainstream during its early years. It initial popularity must have been helped by its Google connections. # § Perl / Raku⠀➾ # ⚓ Perl ☛ The_File_Access_Operators:_To_Use,_or_Not_to Use⠀⇛ The file access operators are, for the purpose of this blog entry, the file test operators -r, -w, -x, -R, -W, and -X. The upper case operators test the ability of the user’s real UID to read, write, or execute the file being tested. The lower case operators do the same for the user’s effective UID. Though Perl provides these, their documentation comes with cautions about their use. The rest of this blog entry represents my thoughts on their use or avoidance. The primary limitation on these operators is that they only test the mode bits returned by the stat() function. The result of this test does not guarantee what will happen if you actually try to operate on the file. For example, most operating systems support Access Control Lists (ACLs) on files, and these can override the mode bits. Even without these, a file system can be mounted read-only, and this will probably not be reflected in the results of the -w and - W tests. An executable file can be corrupt in various ways, including something as simple as a shebang line that points to a non- existent executable. * § Leftovers⠀➾ o § Science⠀➾ # ⚓ ‘Mind-boggling’_scrambled_genome_found_in_octopus_and squid._It_could_explain_their_smarts._|_Live_Science⠀⇛ Squid, octopus and cuttlefish have scrambled-up genomes that may help explain how these cephalopods evolved the most complicated nervous systems of any invertebrate. New genetic sequencing reveals that these animals’ genes are mixed up, arranged in strange orders not seen in other, non-cephalopod species. This DNA mixing and matching may have given evolution a new sandbox to play in, study co-author Caroline Albertin, a biologist at the University of Chicago Marine Biological Laboratory, told Live Science. # ⚓ The Register UK ☛ Quantum_computing_startup_probed_in report,_securities_suit⠀⇛ Quantum computing startup IonQ is facing a securities fraud lawsuit after a barrage of accusations came to light in a blistering report from Scorpion Capital, which claims the company lied about the maturity (and even existence of) its quantum device in addition to a smattering of claimed financial fictions. The Scorpion Capital report, issued May 3, provides a rigorously scathing assessment of the IonQ technology, which is described as “a useless toy that can’t even add 1+1″ as assessed by internal experiments run by unnamed but numerous quantum experts hired by Scorpion and exhaustively detailed in the full report [PDF]. o § Hardware⠀➾ # ⚓ The_Era_of_Exascale_Computing_Has_Arrived._What_Does_That Even_Mean?⠀⇛ FLOPS or floating point operations per second is a measurement of computing performance particularly important in the field of scientific computing where floating point operations are a requirement. An exaflop translates to 10^18 flops and 1.1 exaflops equates to 1,100,000,000,000,000,000 flops. That is a lot of operations per second! There are so many moving pieces to Frontier and I am proud to say that I am part of a smaller team that works on the Lustre file system that runs on the Cray Clusterstor E1000 storage system on the backend of Frontier. So, what does this mean? o § Health/Nutrition/Agriculture⠀➾ # ⚓ How_COVID-19_Raised_Indonesian_Society’s_Awareness_of_Green Architecture⠀⇛ A decreasing number of COVID-19 patients and easing travel restrictions have begun in several countries across the globe, including Indonesia. In May 2022, the Indonesian government dropped the outdoor mask mandate as the pandemic got more and more under control. Soon, this pandemic will end and people will move on, but the question is: what will happen then? This question emerges as a result of many aspects of life in Indonesia being affected by the pandemic itself, such as the economy, business, politics, health, etc., with the adjustments needed in each. What about architecture? [...] Present-day, The Breeze BSD has become one of the most sought-after destinations among Jakarta and South Tangerang residents. Other aspects closely related to architecture are adjusting as well. Property developers have begun marketing a new commercial shophouse concept that provides outdoor space. For example, Melody Shophouses in BSD has a balcony and a terrace as an outdoor area. In landscape architecture, many places around Jakarta, such as Mangrove Park Kapuk and San Antonio Promenade PIK, highlight their outdoor experiences. o § Security⠀➾ # ⚓ USCERT ☛ CISA_Releases_Security_Advisory_on_Dominion_Voting Systems_Democracy_Suite_ImageCast_X⠀⇛ CISA has released an Industrial Controls Systems Advisory (ICSA) detailing vulnerabilities affecting versions of the Dominion Voting Systems Democracy Suite ImageCast X, which is an in-person voting system used to allow voters to mark their ballot. # ⚓ USCERT ☛ Vulnerabilities_Affecting_Dominion_Voting_Systems ImageCast_X⠀⇛ This advisory contains mitigations for Improper Verification of Cryptographic Signature, Mutable Attestation of Measurement Reporting Data, Hidden Functionality, Improper Protection of Alternate Path, Path Traversal: ”../filedir’, Execution with Unnecessary Privileges, Authentication Bypass Spoofing, Incorrect Privilege Assignment, and Origin Validation Error vulnerabilities in versions of Dominion Voting Systems Democracy Suite ImageCast X software. # ⚓ USCERT ☛ Atlassian_Releases_New_Versions_of_Confluence Server_and_Data_Center_to_Address_CVE-2022-26134 [Ed: Microsoft leaves actively-exploited holes unpatched for months or years; Atlassian is at least tackling bugs]⠀⇛ Atlassian has released new Confluence Server and Data Center versions to address remote code execution vulnerability CVE-2022-26134 affecting these products. An unauthenticated remote attacker could exploit this vulnerability to execute code remotely. Atlassian reports that there is known exploitation of tmhis vulnerability.. # ⚓ How_to_prevent_future_cyber_incidents_in_local_schools [Ed: Delete Windows]⠀⇛ Despite local schools going online following the pandemic, the cybersecurity threat prevails – here’s how to prevent future cyber incidents # ⚓ The Register UK ☛ EnemyBot_malware_adds_enterprise_flaws_to exploit_arsenal⠀⇛ Alien Labs recommends enterprises reduce the exposure of Linux servers and IoT devices to the internet, use properly configured firewalls, enable automatic updates, and monitor network traffic. # ⚓ The Register UK ☛ That_critical_vulnerability_might_not_be the_first_you_should_patch [Ed: This seems more like an ad than reporting...]⠀⇛ Startup Rezilion suggests enterprises should change prioritization strategies # § Privacy/Surveillance⠀➾ # ⚓ Toyota_Connected_‘Cabin_Awareness’_Concept_Uses_New Tech_to_Detect_Occupants⠀⇛ Toyota Connected North America (TCNA), an independent software and innovation center of excellence, today introduced its Cabin Awareness concept technology that uses millimeter-wave, high-resolution 4D imaging radar to help detect occupants (including certain pets) in cars and has the potential to detect them if ever they’re left behind. # ⚓ The Register UK ☛ Millions_of_people’s_info_stolen from_MGM_Resorts_dumped_on_Telegram_for_free⠀⇛ Miscreants have dumped on Telegram more than 142 million customer records stolen from MGM Resorts, exposing names, postal and email addresses, phone numbers, and dates of birth for any would-be identity thief. The vpnMentor research team stumbled upon the files, which totaled 8.7 GB of data, on the messaging platform earlier this week, and noted that they “assume at least 30 million people had some of their data leaked.” MGM Resorts, a hotel and casino chain, did not respond to The Register’s request for comment. o § Defence/Aggression⠀➾ # ⚓ ‘Zombie_clause,’_ban_on_nuclear_weapons_hidden_in_these tech_user_agreements⠀⇛ Imagine if you entered a restaurant and the manager asked you to sign a contract blocking you from suing the business if everyone falls ill, and barring you from writing a bad online review. The agreement might even spell out what happens if zombies invade. You might dine elsewhere or just go back home. Fortunately, restaurants don’t try to impose demands like that (well, not usually). Yet we routinely agree to similar restrictions by clicking “yes” to long and tangled agreements on websites or simply by using software and gadgets. And yes, one tech powerhouse even includes a clause about reanimated corpses. Even if you’re distrustful of all that turgid legal prose, you may still be surprised by some of the clauses in terms of service and end-user license agreements, including the ones spelled out below. A number of them are odd but relatively harmless. In other cases, these agreements try to take away important consumer rights. o § Environment⠀➾ # ⚓ The Daily Star ☛ Rail_transit_for_India_thru’_Bangladesh: Railways_of_2_countries_to_work_on_one_route⠀⇛ After a proposal from Indian Railways (IR), Dhaka and New Delhi have agreed to work out the details of the possibility of India using rail transit through Bangladesh. # ⚓ Seattle Times ☛ How_a_Sound_Transit_contractor_is_trying_to make_light-rail_construction_easier_on_the_environment⠀⇛ Sound Transit boasts about creating the first “100% carbon-free light rail service” in the nation. Yet when the contractors build concrete columns and stations, they burn fossil fuels that reduce the electric trains’ net climate benefit. In a tiny experiment to limit greenhouse gas, crews building the north half of Sound Transit’s 2024 Northgate-to-Lynnwood extension are fueling two forklifts and a dirt loader in Mountlake Terrace with renewable plant-based diesel. It performs as well as petroleum, the crew says. # § Energy⠀➾ # ⚓ Nasdaq ☛ Bitcoin_Miner_Bitzero_To_Build_$500_Million Headquarters_In_North_Dakota [Ed: Burning power for no purpose at all]⠀⇛ Bitzero Blockchain Inc., a 100% renewable bitcoin mining company, is making North Dakota the central headquarters for its North American operations. The miner distilled the plans on Thursday in a joint press release with the governor of North Dakota’s office and notable investors such as Kevin O’Leary. o § AstroTurf/Lobbying/Politics⠀➾ # ⚓ How_should_we_remember_Sheryl_Sandberg’s_Facebook_tenure? It’s_complicated⠀⇛ o § Digital Restrictions (DRM)⠀➾ # ⚓ Right_to_Repair_is_Real⠀⇛ What began as a dream in 2012 has finally blossomed into reality. Today, New York passed Asm. Patricia Fahy and Sen. Neil Breslin’s Fair Repair Act, making it the first state in the country to pass an electronics Right to Repair Bill. Everyone in NY is going to benefit from this landmark legislation. We’ll all be able to fix the stuff we like, stop being forced to buy new things we don’t want, and it will be possible for the secondary market to provide high quality options for reuse. The NY bill that just passed is a huge first step that covers a lot of ground—including cell phones, tablets and IT equipment. The future looks bright for more state legislatures to pass similar legislation and take up some of the equipment categories that didn’t get taken up in NY. We know that legislators like to advance bills they know are winners, and a vote of 145 to 1 in favor is a clear endorsement of a winning bill. o § Monopolies⠀➾ # § Copyrights⠀➾ # ⚓ let’s_talk_about_AI_art_i_guess⠀⇛ there are two areas in which machine learning can be exploitative: hardware and software. hardware can’t quite be helped, in some ways, because the entire electronics production chain hinges on exploitation of the environment and workers around the world (but mainly, keeping with imperialism, in the global south), and as such can anyone truly have spotlessly clean hands when tweeting from their phone? of course, AI research is part of the push for “better”, more powerful new hardware, and with more compute power comes more energy use, and i’m certainly not denying that [3]. as for software, the path splits. what people are probably most aware of when it comes to image generation is stuff like dall-e, neuralblender (stole code for profit btw [4]) and artbreeder (the site where i first encountered GANs). these large models use fittingly large datasets like imagenet, that attempt to collect and classify the entirety- ish of our world (specifically imagenet builds on wordnet and uses just nouns because they’re supposed to be possible to illustrate with e.g. a photo. it’s based on image classification because that’s what makes it possible to use prompts). ䷩ 𝚕𝚒𝚗𝚎 4104 ╒═══════════════════ 𝐃𝐀𝐈𝐋𝐘 𝐋𝐈𝐍𝐊𝐒 ═════════════════════════════════════════════╕ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 06.03.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ Links_03/06/2022:_Replacing_WPA_with_IWD⠀✐ Posted in News_Roundup at 10:26 am by Dr. Roy Schestowitz 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈ § Contents⠀➾ * GNU/Linux o Desktop/Laptop o Audiocasts/Shows o Applications o Instructionals/Technical * Distributions_and_Operating_Systems o SUSE/OpenSUSE o Fedora_Family_/_IBM o Debian_Family o Canonical/Ubuntu_Family o Mobile_Systems/Mobile_Applications * Free,_Libre,_and_Open_Source_Software o GNU_Projects o Programming/Development o Standards/Consortia * Leftovers o Defence/Aggression o Finance o Censorship/Free_Speech o Internet_Policy/Net_Neutrality o Monopolies # Copyrights * § GNU/Linux⠀➾ o § Desktop/Laptop⠀➾ # ⚓ Trend Oceans ☛ Pre-order_HP_Dev_One_laptop_specially crafted_for_developers_with_a_POP!_OS⠀⇛  System76 announced its collaboration with HP, which attracted much public interest. Why not developers’ folk get excited when the two best of their industries collaborate with each other and develop the best product for the consumers? Three months back, one of the users on Reddit posted a question on the subreddit of pop_os: “Some kind of partnership between HP and System76 on the horizon?” To be honest, we were all sure something interesting was happening between HP and System76, and today’s curtain gets lifted with a new line of products called “HP Dev One”. # ⚓ Liliputing ☛ HP_Dev_One_laptop_with_Pop!_OS_Linux_now available_for_$1099⠀⇛ The HP Dev One is a notebook designed for professional developers. The 3.24 pound notebook has a 14 inch full HD display, a backlit spill- resistant keyboard with a pointing stick in the center as well as a glass-covered clickpad below it, and an AMD Ryzen 7 Pro 5850U processor. But the main thing that marks this as a developer- centric laptop (other than the name)? It ships with a Linux distribution called Pop!_OS rather than Windows. First announced in may, the HP Dev One is now available for $1099. o § Audiocasts/Shows⠀➾ # ⚓ Jupiter Broadcasting ☛ First_Account_is_Free_|_Self-Hosted 72⠀⇛ A quick-fire round of projects this week, your feedback, and a discussion about the future of Self-Hosting. # ⚓ Video ☛ Live_–_Making_the_Ugliest_Linux_Distro_Look_Good_– Invidious⠀⇛ Raspberry Pi distros look UGLY! Let’s fix it with transforming the basic distro that comes with the pi400 into a desktop powerhouse! # ⚓ Video ☛ Ranking_your_favorite_Chrome-derivatives_after going_hands-on._Can_any_of_them_beat_Firefox?_–_Invidious⠀⇛ And I even LIKED one of them. Watch my screed against the MIT license… # ⚓ Video ☛ GNOME’s_Secret_New_Terminal_App_in_Ubuntu_22.04: Here’s_What_it_Looks_Like_–_Invidious⠀⇛ GNOME 42 introduces a new terminal application called Console. It’s a “simple, user-friendly terminal emulator” with fewer features than the GNOME Terminal but a few good ones of its own. # ⚓ Video ☛ Steam_Deck_Dock_Delayed!_Plus_Spider-Man_on_PC!_– Invidious⠀⇛ o § Applications⠀➾ # ⚓ Linux Links ☛ Essential_System_Tools:_btop++_–_resource monitor⠀⇛  The top utility needs little introduction to seasoned Linux users. top is a small utility that offers a dynamic real-time view of a running system. It allows users to monitor the processes that are running on a system. top remains a useful utility. It helps with system administration by identifying users and processes that are hogging the system. It is also useful for non-system administrators, helping to track and kill errant processes. However, top is showing its age and there are a bunch of utilities that offer a more feature-laden and visually attractive alternative. btop++ is an alternative to top. It’s a resource monitor that shows usage and stats for processor, memory, disks, network and processes. It’s a continuation of bashtop and BpyTOP. It’s free and open source software written in C++. o § Instructionals/Technical⠀➾ # ⚓ Techtown ☛ How_to_Install_Pycharm_on_Debian_11_–_The_best IDE_for_Python!_–_Atechtown⠀⇛ It is no lie to say that Python is one of the most important and widely used programming languages in the world. And to take full advantage of it, we need to have an IDE up to the highest demands. Today, you will learn how to install PyCharm in Debian 11 and thus have one. # ⚓ Linux Hint ☛ How_to_Change_Your_Display_Name_and_Username in_Roblox⠀⇛ Roblox is a widely used gaming platform where you can find tons of games of different genres. If you are new to this platform and want to change your display name with username then follow this guide as I have explained the process of changing the username as well as the display name of your Roblox account. # ⚓ Linux Shell Tips ☛ How_to_Get_Current_System_Time_Zone_in Linux⠀⇛ For social, commercial, and legal purposes, areas on the world map that share a uniform standard time complete the definition of a time zone. Therefore, the implementation of a time zone depends on the divisions and boundaries that separate different countries and regions. This approach of identifying time zones is more convenient than strictly relying on longitudes. Enough with the geography lesson, let us get back to solving computing problems the Linux way. Linux is smart enough to identify the time zone you are under; whether you are a Linux developer on the move or a Linux enthusiast that embraces a change in their environment from time to time. Under the Linux operating system environment, you will never fail to come across time management utilities like date and timedatectl. It is through such time management utilities that we can be able to run various Linux command tweaks to reveal the exact current system time zone associated with our environment. # ⚓ Linux Shell Tips ☛ How_to_Convert_Videos_to_GIFs_Using FFmpeg⠀⇛ Since the onset of GIF or Graphical Interchange Format back in 1987, the internet fell in love with this technological approach of making an image exist in a state of continuous motion. With this brief fact, Gif’s popularity on business and social platforms is becoming impossible to ignore, and for good reasons. This article guide will explore their importance and how to effortlessly create them via the FFmpeg tool. # ⚓ Linux Hint ☛ How_to_dual_boot_on_Raspberry_Pi_–_Step_by Step_Guide⠀⇛ Raspberry Pi device is a portable mini-computer where you can easily install an operating system. It includes a robust processor with a large memory storage that can go up to 8GB thus keeps your system performance well up to the mark. However, most people are unaware about running multiple operating systems on Raspberry Pi devices. This article is written to help you in running multiple operating systems on your Raspberry Pi using the dual boot process. # ⚓ GNU_Linux_bash_–_get_root_partition⠀⇛ # ⚓ GNU_Linux_bash_–_get_distribution_OS_version⠀⇛ # ⚓ ID Root ☛ How_To_Install_Wiki.js_on_Ubuntu_22.04_LTS⠀⇛ In this tutorial, we will show you how to install Wiki.js on Ubuntu 22.04 LTS. For those of you who didn’t know, Wiki.js is open-source wiki software that is robust and adaptable, written in javascript, and powered by a Node.js engine. Wiki.js offers support for various databases such as MySQL, MariaDB, and MSSQL with the primary support for PostgreSQL. This article assumes you have at least basic knowledge of Linux, know how to use the shell, and most importantly, you host your site on your own VPS. The installation is quite simple and assumes you are running in the root account, if not you may need to add ‘sudo‘ to the commands to get root privileges. I will show you the step-by-step installation of the Wiki.js on Ubuntu 22.04 (Jammy Jellyfish). You can follow the same instructions for Ubuntu 22.04 and any other Debian-based distribution like Linux Mint, Elementary OS, Pop!_OS, and more as well. # ⚓ Linux Hint ☛ How_to_run_Windows_applications_on_Raspberry Pi_using_Wine⠀⇛ Want to run Windows application on your Raspberry Pi desktop? Try out Wine. It’s a multi-format reader designed specially to run Windows applications on different platforms such as Linux, Debian, Fedora and so on. It’s a lightweight compatibility layer that efficiently runs on your Raspberry Pi desktop without reducing the device performance. This guide will show you how you can install Wine on your Raspberry Pi device and install Windows applications with ease. # ⚓ Linux Hint ☛ Install_Jellyfin_on_Raspberry_Pi_|_Watch_media from_a_web_browser⠀⇛ Jellyfin is a free and open-source online media solution designed to manage, organize and share media files to other networked devices. It lets you run your media files directly onto your browser via its web dashboard. You can install it on any platform, such as Windows, Linux and macOS. If you want to install Jellyfin on Raspberry Pi, you should follow the guidelines provided in the article so that you will be able to access the Jellyfin web interface. # ⚓ Linux Hint ☛ How_to_install_Box64_on_Raspberry_Pi?_–_4_Easy Steps⠀⇛ Raspberry Pi OS is an ARM based operating system that won’t allow you to directly run Windows applications on its environment. However, with the inclusion of Box64, the users will be able to run x64 applications with ease. Box64 is an emulation platform that converts the x64 program instructions to ARM instructions, allowing users to easily run x64 applications on Raspberry Pi desktop. This tutorial guides you in installing Box64 on Raspberry Pi. # ⚓ Linux Hint ☛ How_to_Install_Grafana_–_Visualization_Tool_on Raspberry_Pi⠀⇛ Grafana is a multi-platform open-source visualization tool with an online web-based interface allowing users to monitor their system metrics on their Raspberry Pi device. It has a built-in alert manager that keeps you updated whenever the server receives data. It also includes visualization options like charts and graphs which are generated from data source and you can view them directly onto your browser tab. With the inclusion of different built-in plugins, you can also use Grafana service on a cloud environment. # ⚓ Linux Hint ☛ How_to_Install_Ly_Window_Manager_on_Debian 11⠀⇛ Ly is a free, open-source, minimalistic, and lightweight terminal-based display manager for Linux. Ly is a great alternative to those who are used to staring at the terminal window all day. Let us now discuss how to install it on Debian 11. * § Distributions and Operating Systems⠀➾ o ⚓ DebugPoint ☛ Titan_Linux:_A_Blend_of_Debian_Stable_and_KDE Plasma⠀⇛ A review of Titan Linux which is a mix of Debian stable branch with lightweight KDE Plasma desktop and brings additional tools. o ⚓ Ubuntu Pit ☛ MX_Linux:_Try_This_Linux_Distro_for_A_Snappy_Desktop Experience⠀⇛ Are you looking for a clean and snappy Linux-based desktop experience? Then take a look at MX Linux, which is known for its light yet powerful package for all types of hardware specifications. This distribution is great for old PC, and low-end laptops yet offers the latest software support. Additionally, the advertisement-free user interface makes it even more appealing to many PC enthusiasts. If you are new to Linux, then skip this all over and settle down with Ubuntu or distros like Linux Mint. This is for pre-exposed users from intermediate level to experts. There are some tips and tricks to cope with it, even if you are new and coming from a Windows environment. I hope this article on MX Linux will help you know a bit more about the overall ecosystem. o § SUSE/OpenSUSE⠀➾ # ⚓ SUSE’s Corporate Blog ☛ openSUSE_Conf_2022_–_Day_Two:_ALP Roast_–_An_open_discussion_with_the_ALP_Steering_Committee_| SUSE_Communities⠀⇛ On Day two, June 3, of the openSUSE Conf 2022 the main event was the discussion of the ALP Steering Committee with the openSUSE community. ALP, the Adoptable Linux Platform, stands for the next generation of the SUSE Linux family. As intro to the event Michal Svec, SUSE Product Manager for SLES, explained what it is all about. ALP stands for a new approach, for a new thinking out of the Box when it comes to Linux, especially to the openSUSE/SUSE Linux distro. Michal is member of the Steering Committee together with Anja Stock, Director Program Management Linux Systems, and her team: Jiri Srain, Alex Herzig, Lubos Kocman, Pavel Niahodkin, Stefan Weiberg, all SLE Release and Project Managers. They all were available on Stage to answer the community questions. # ⚓ openSUSE_Tumbleweed_–_Review_of_the_weeks_2022/21_&_22_– Dominique_a.k.a._DimStar_(Dim*)⠀⇛ Dear Tumbleweed users and hackers, Last week, I skipped the review as over here, Thursday was a holiday and I decided to take Friday off as well and make for a long weekend (for a $random value of ‘off’ as it turned out). In total, Tumbleweed has seen 13 snapshots since the last review, which means it was ‘almost daily’ with one gap {0519..0601, except for 0529 – and 0526 was published, but never made it to the mirrors due to a config error) o § Fedora Family / IBM⠀➾ # ⚓ Red Hat Official ☛ Getting_started_with_RHEL_9, interpreting_system_log_files,_and_more_sysadmin_tips_| Enable_Sysadmin⠀⇛ Today, we are looking back at our top 10 articles of May to give you a chance to catch up on any of the great content you might have missed. In this list, you will see various topics covered, and we are confident that some, if not all, will be of interest to you. # ⚓ Red Hat Official ☛ 6_deprecated_Linux_commands_and_the tools_you_should_be_using_instead_|_Enable_Sysadmin⠀⇛ Swap your old Linux commands for new and improved alternatives that provide the same functionality, if not more. # ⚓ Enterprisers Project ☛ 4_ways_digital_transformation enables_a_diverse,_future-ready_workforce⠀⇛ To remain competitive, today’s businesses must use digital systems to improve efficiencies and meet customer needs. As people increasingly expect digital options in their daily lives, companies are reevaluating their workforces and ensuring that their employees and internal processes are prepared for digital transformation. While it can be daunting to embrace changes brought on by technology amidst the pandemic, doing so will position your business to grow and flourish in the 21st century. One of the greatest benefits it brings is the ability to create a diverse workforce that is prepared for the future. Here are four examples of how digital transformation helps organizations do that. # ⚓ Enterprisers Project ☛ What_it_takes_to_lead_today’s digital_ecosystem:_CIOs_share_advice⠀⇛ After years of accelerated digital transformation, CIOs are now playing a central and critical role in defining the digital future – but the best IT leaders would quickly tell you that they could not have gotten here on their own. Success in this new normal takes collaboration, smart partnerships, and an unwavering focus on the people who make up a strong digital ecosystem. For the past 15 years, in conjunction with its annual event, the MIT Sloan CIO Symposium has recognized excellence in IT leadership through its CIO award program. This year, we had a chance to ask each of the award finalists what they believe is required to lead in today’s digital ecosystem. From celebrating setbacks, to building a culture of curiosity, to leading with empathy, learn how leading CIOs are driving innovation and positioning their organizations for success. # ⚓ IBM Old Timer ☛ IBM_Emeritus:_The_Digital_Divide_in_How_We Use_the_Internet⠀⇛ A few weeks ago I attended an MIT seminar by Esteban Moro, professor at Universidad Carlos III in Madrid and visiting professor at MIT. Moro’s talk discussed the socio-economic digital divide based on how we use the internet, focused on two key questions: how profound is the digital usage gap in our society?; and can we use mobile phone traffic to infer socioeconomic status? His seminar was based on a recently published article in the Journal of the Royal Society Interface co-authored with four collaborators, – News or social media? Socio-economic divide of mobile service consumption. “Inequality is a central societal problem, especially within rapidly expanding urban areas,” wrote the authors. “While it is a crucial driver for economic growth, the progressive clusterization of workers, industries, companies and services in cities has a tremendous cost in terms of segregation and discrimination. This cost is not only economic: in the same city, different areas can have a 10- to 15-year imbalance in life expectancy and highly divergent education levels, with little chances of social mobility.” o § Debian Family⠀➾ # ⚓ Trend Oceans ☛ Armbian_22.05_added_support_to_Orange_PI, Banana,_and_other_arm_devices⠀⇛ Armbian community has rolled up a new version of Armbian 22.05 after three months of v(22.02). In this release, they have added support to several arm devices like DevTerm A06, Orange Pi R1+ LTS, Orangepi 3 LTS, Radxa Rock 3A, and Zero. Apart from that, they have even made improvements to the Allwinner A20, Allwinner H5, Odroid N2, and Orange Pi Zero. # ⚓ CNX Software ☛ Armbian_22.05_release_adds_support_for Orange_Pi_R1_Plus_LTS,_Radxa_Zero_&_Rock_3A,_DevTerm_A06⠀⇛ The latest release of Armbian, version 22.05, is now out with hundreds of Linux kernel and user space-related bug fixes, a focus on stabilizing existing platforms, while still adding four new boards with Orange Pi R1 Plus LTS (RK3328), Radxa Zero (Amlogic S905Y2), Radxa Rock 3A (RK3568), and DevTerm A06 (RK3399). The community also added two new maintainers for ESPRESSObin and Radxa Rock Pi 4 (Model A) SBCs which should mean the images for those boards will be tested more regularly and potential issues fixed more quickly. You may want to read the more detailed changelog to see if any changes may impact the board(s) you are using. The new Armbian 22.05 release succeeds Armbian 22.02 outed on February 28, 2022. o § Canonical/Ubuntu Family⠀➾ # ⚓ DebugPoint ☛ Ubuntu_22.10_Plans_to_Replace_WPA_with_IWD_for Wireless_Connectivity⠀⇛ Ubuntu 22.10 Kinetic Kudu plans to introduce IWD by replacing the WPA for wireless connectivity and management. # ⚓ Beta News ☛ Say_goodbye_to_Microsoft_Windows_11_and_wave hello_to_Ubuntu-based_Linux_Lite_6.0⠀⇛ Is Windows 11 a good desktop operating system. Absolutely. Is it the best desktop operating system? Well, that is harder to answer. Ultimately, if you are 100 percent dependent on Windows software, then yes, Windows 11 is the best operating system… for you. If you can get by without using software designed for Microsoft’s OS, however, a Linux-based operating system might be the better option — especially if you have an older computer. You see, Windows 11 is very polarizing. The operating system features radical changes to the user interface (such as a centered task bar) which some users do like, but many others do not. Not to mention, the system requirements will leave many still-capable computers unable to upgrade without using unofficial hacks. Even worse, computers deemed incompatible could eventually stop getting updates! Linux doesn’t have these problems. But if you want to switch to Linux after only using Windows your entire life, what distribution should you choose? While there are many good options, I often recommend Linux Lite. Why? Because that distro (which uses the Xfce desktop environment), is one of the best Linux distributions for Windows- switchers; it is lightweight, modern, and very familiar. Seriously, folks, Linux Lite is a dream. o § Mobile Systems/Mobile Applications⠀➾ # ⚓ CNX Software ☛ Nokia_1680_phone_gets_new_PCB_with_MIPS_SoC, runs_mainline_Linux⠀⇛  Reimu NotMoe has designed the “Notkia” PCB based on Ingenic X1000E MIPS processor with 64MB built-in RAM and following the exact same dimensions as the PCB found in Nokia 168x phones (1680, 1681, 1682), and allowing the phone to run mainline Linux. The board also comes with 32MB NOR flash, a 4GB SLC NAND flash, and supports LoRa, 2.4 GHz WiFi, Bluetooth, and GNSS connectivity, but no cellular modem. The initial design was Combining Nokia 168x phone with Notkia PCBA creates a phone with the following specifications… # ⚓ SlashGear ☛ Is_Your_Android’s_5G_Service_Slow?_Here’s_How To_Turn_It_Off⠀⇛ # ⚓ CNET ☛ Not_All_Samsung_Phones_Will_Get_Android_13:_See_the List_–_CNET⠀⇛ # ⚓ How_to_set_up_Guest_mode_on_Android_–_Phandroid⠀⇛ # ⚓ Phone Arena ☛ Vote_now:_What_version_of_Android_is_your phone_currently_running?_–_PhoneArena⠀⇛ # ⚓ Android Police ☛ Here’s_what_you_can_expect_from_the_new Android_Automotive_12L⠀⇛ * § Free, Libre, and Open Source Software⠀➾ o ⚓ Its FOSS ☛ Spotify_Introduces_an_Open-Source_Tool_to_Fix_a_Big Problem_for_Modern_Musicians⠀⇛ Spotify is a leading music streaming platform with several open-source projects. While most of the projects/tools are built for niche users, they have finally introduced something that seems enticing to all the modern musicians involved with digital music production. ‘Basic Pitch’ is a new free and open-source tool by Spotify that lets you convert any audio file to its MIDI (Musical Instrument Digital Interface) version. o § GNU Projects⠀➾ # ⚓ Second_second⠀⇛ In GNU’s parse-datetime.y, or as it used to be called, getdate.y, the second ordinal is commented out. I guess for English ambiguity reasons. o § Programming/Development⠀➾ # ⚓ sss:_simple_spartan_server⠀⇛ I wanted to play around with the Spartan protocol. To that end, I bodged together a simple server written in Go. o § Standards/Consortia⠀➾ # ⚓ Re:_A_reader_friendly_browser⠀⇛ I think that’s one reason why Gemini is succeeding. (It’s already as much of a success as it needs to be. Smol. Anything else that happens is gravy.) With fewer line types and a narrower grammar for semantics, it’s less easy to mess it up and there’s less data to scrape and exploit. I’ve ranted before on how many Markdown sites will have you render for italic things that aren’t emphasis at all, like titles and foreign names. * § Leftovers⠀➾ o ⚓ 28_day_months⠀⇛ I’m starting to notice that more and more subscription services are opting to use a 28-day monthly renewal period. At first, I thought it was just a lazy way to make sure the business gets the best end of the deal each month, but the result means they can charge an extra monthly fee per year. o § Defence/Aggression⠀➾ # ⚓ MakeTech Easier ☛ Axon_Wants_to_Use_Armed_Drones_to_Stop School_Shootings⠀⇛ The news of yet another school shooting shook much of the U.S. and confused the rest of the world. Ideas to remedy the situation range from arming teachers to limiting access to guns. The CEO of Axon, the company behind Taser stun guns, has another idea. He wants to stop the shootings with armed drones. o § Finance⠀➾ # ⚓ Wiley ☛ So_you_say_our_work_is_essential:_Essential_workers and_the_potential_for_transformative_learning_in_the_wake_of COVID‐19_social_and_economic_disruption_–_John_Wiley⠀⇛ o § Censorship/Free Speech⠀➾ # ⚓ Pages_on_Fire⠀⇛ Sweden’s chief prosecutor Per-Erik Rinsell calls the racist inciter’s deportation rants and book burning a “constitutionally protected right”, and calls protests against it unacceptable violence. If only the book-burning inciter would’ve put his complaints in a Washington Post op-ed instead. Then he would’ve become the Internet’s most hated woman, and sentenced to pay his ex-husband $10000000. That’s one dollar per second in four months. o § Internet Policy/Net Neutrality⠀➾ # ⚓ MeitY_publishes_and_then_withdraws_a_proposal_to_amend_IT Rules,_2021⠀⇛ On June 2nd, 2022, the Ministry of Electronics and Information Technology (‘MeitY’) proposed amendments to IT Rules, 2021 to ‘address the gaps identified’ and invited comments on the proposal. Instead of addressing the gaps, the proposals perpetuated the already existing illegalities in the IT Rules, and sought to impose impractical obligations on social media platforms and subjected them to direct government oversight. As soon as the proposed amendments were published, we summarised our concerns on Twitter. Later in the day, it was reported that MeitY had decided to withdraw the proposal and that the proposal may be released again next week. o § Monopolies⠀➾ # § Copyrights⠀➾ # ⚓ AI_art_is_bad⠀⇛ If AI art ever becomes good, that’s fine too because even though all human endeavor and expression will become meaningless, at least we’ll have some pretty darn neat art to look at while we’re screaming through the cosmos. Yeah, that’s the bar I’ve set for AI art to beconsidered good or worthwhile. I’m not worried it’ll get there any time soon. AI- assisted art, sure, but humans have used tools for art since Lasceaux. The camera did strike a pretty huge blow against art; for example, Millais’ Ophelia is unmatched by the works in its shadow. But the camera has also created art, like Star Wars, or The Bride Wore Black. ䷩ 𝚕𝚒𝚗𝚎 4982 ╒═══════════════════ 𝐃𝐀𝐈𝐋𝐘 𝐋𝐈𝐍𝐊𝐒 ═════════════════════════════════════════════╕ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 06.03.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ Links_03/06/2022:_Steam_Deck_at_5%_of_GNU/Linux_Users_on_Steam⠀✐ Posted in News_Roundup at 4:33 am by Dr. Roy Schestowitz 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈ § Contents⠀➾ * GNU/Linux o Desktop/Laptop o Instructionals/Technical o Games * Distributions_and_Operating_Systems o Devices/Embedded o Open_Hardware/Modding * Free,_Libre,_and_Open_Source_Software o Education o Programming/Development # Shell/Bash/Zsh/Ksh * Leftovers o Education o Hardware o Health/Nutrition/Agriculture o Proprietary o Security # Privacy/Surveillance o Defence/Aggression o Transparency/Investigative_Reporting o Environment # Energy # Wildlife/Nature # Overpopulation o Finance o AstroTurf/Lobbying/Politics o Censorship/Free_Speech o Freedom_of_Information_/_Freedom_of_the_Press o Civil_Rights/Policing o Internet_Policy/Net_Neutrality o Digital_Restrictions_(DRM) o Monopolies # Copyrights * § GNU/Linux⠀➾ o § Desktop/Laptop⠀➾ # ⚓ GamingOnLinux ☛ System76_and_HP_bring_the_HP_Dev_One_with Pop!_OS_Linux⠀⇛ As we reported previously, The HP Dev One is a new laptop collaboration from System76 and HP that brings Pop!_OS Linux to even more people. It’s now available to order. o § Instructionals/Technical⠀➾ # ⚓ uni Toronto ☛ Setting_up_Linux_fair_share_CPU_scheduling with_systemd_and_cgroup_v2⠀⇛ In cgroup v2, fair share CPU scheduling for a cgroup is enabled by enabling the ‘cpu’ controller in that cgroup. However, systemd doesn’t provide any good direct way to enable specific cgroup controllers; instead it seems to enable them when it thinks that it needs them due to some property that you set. In the case of the cpu controller, you get it enabled in a specific cgroup by setting CPUWeight to some value on a child unit. Normally you’ll want to set CPUWeight to the default value of ’100′, so that that child unit and all of its peers get a predictable value for cpu.weight that’s the same. # ⚓ Jeff Geerling ☛ Using_LibreELEC_like_a_pro—management_via SSH⠀⇛ The default user is root and the default password is libreelec. No wonder they don’t have SSH enabled by default 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇:P⦈ # ⚓ UNIX Cop ☛ How_to_install_NodeJS_on_CentOS_9_Stream⠀⇛ Hello, friends. In this post, you will learn how to install NodeJS on CentOS 9 Stream. NodeJS is a JavaScript runtime environment (hence its .js ending, alluding to the JavaScript language). This real-time runtime environment includes everything you need to run a program written in JavaScript. Thanks to NodeJS, good functional applications have been created thanks to JavaScript. In addition, this interpreter allows us to somehow execute JavaScript on the server. Yes, as you read it. For many it is the most used software platform currently being above in execution environments, even above PHP and others. o § Games⠀➾ # ⚓ GamingOnLinux ☛ Splitgate_the_free_online_FPS_with_portals has_Season_2_live_now⠀⇛ Mixing together some fast-paced shooter with a bit of a Halo feel and portals like out of Valve’s Portal series, Splitgate has a big new update out now. # ⚓ GamingOnLinux ☛ Proton_Experimental_updated_for_Linux_and Steam_Deck,_improving_Final_Fantasy_XIV_Online⠀⇛ Today there’s another fresh build of Proton Experimental available, which pulls in some more bug fixes for playing Windows games on Linux and Steam Deck. # ⚓ GamingOnLinux ☛ Valve_reveals_the_top_10_most_played_Steam Deck_titles_and_they’re_all_fully_Verified⠀⇛ Valve just put up another of their round-up posts going over all the recent work on the Steam Deck, and they also revealed the current most popular titles. # ⚓ GamingOnLinux ☛ Steam_Deck_already_hits_over_5%_of_Linux users_on_Steam⠀⇛ The latest Steam Hardware & Software Survey is out for May 2022, and while it sees a tiny drop in the overall Linux user share, we can see the Steam Deck rising up. As usual, our dedicated Steam Tracker has been updated for the latest figures, with a screenshot of the current status below for all to see: # ⚓ GamingOnLinux ☛ Valve_delay_the_Steam_Deck_Docking Station⠀⇛ In a move that’s not exactly unexpected, Valve has now delayed the launch of the official Steam Deck Docking Station. * § Distributions and Operating Systems⠀➾ o ⚓ HaikuOS ☛ [GSoC_2022]_ARM_port_and_device_tree_support⠀⇛ This summer I will port Haiku to ARM and support some device tree-based storage device. o ⚓ Systemd Free ☛ 2022_hardcore_list_of_linux_distributions_without elogind_and_other_systemd_parts⠀⇛ This list is going to be short and there may be a sublist of distros with a medium strict standard. We shall explain what the object is, below the short list (which we hope the community will assist in making longer as we have not been able to currently review the work of every distro and fork). o ⚓ Ruben Schade ☛ Linux_is_native_to_the_PC,_FreeBSD_isn’t?⠀⇛ But let’s get to the good stuff. Niggling technical issues aside, does Linux feel like you’re using a PC OS, and does FreeBSD make your machine feel more like a big iron UNIX box from back in the day? Liam writes: [...] o § Devices/Embedded⠀➾ # ⚓ Linux Gizmos ☛ ICP_NV1_Network_Video_Recorder_features Tiger-Lake_processor_and_iRIS_Xe_GPU⠀⇛ Germany based ICP unveiled a Network Video Recorder built around Intel’s 11th Gen Core (Tiger-Lake) combined with Xe graphics processor unit. The NVI supports up to 64GB DDR4 RAM (dual SO-DIMM slots) available in commercial grade and industrial grade. The NV1 supports a wide variety of Intel processors including 11th Gen Core-i3, i5, i7 and even the CeleronTM 6305E. The device also incorporates Intel’s iRIS Xe graphic units which is capable of decoding/recording and playback in 1080p on up to 64 channels. Additionally, the NV1 has support for deep learning for up to 10 channels at 7.1 TOPS. o § Open Hardware/Modding⠀➾ # ⚓ Old VCR ☛ So_long,_home_T1_line;_hello,_hacking_the_T1 router⠀⇛ Floodgap has had a T1 line since I moved into this house in 2011. I’m one of those weirdos who runs my own hardware and prefers to avoid co-lo so that I can access things whenever I want despite the additional logistical complexity, and also acts as useful immunity against acquiring other expensive hobbies. The area was boonies-ish when I moved here (big house, cheap price, bottom of the market after the housing crash), arguably still is, and for at least several years there was no DSL due to its distance from the central office (fiber? hahahaha). Cable was around, but the only cable provider at the time refused to pull a run or even quote me a price to do so despite sending contractors on three separate occasions to scope out the site. After several weeks of downtime culminating in me making a formal complaint to the Public Utilities Commission, they agreed to stop messing around and released me from the contract. Of course, by then I was down for nearly a month. * § Free, Libre, and Open Source Software⠀➾ o ⚓ LibreBoot ☛ MacBook2,1_and_MacBook1,1⠀⇛ There is an Apple laptop called the macbook1,1 from 2006 which uses the same i945 chipset as the ThinkPad X60/T60. A developer (Mono Moosbart) ported the Macbook2,1 to coreboot, working alongside Vladimir Serbinenko. The ROM images also work on the macbook1,1. Libreboot’s support and documentation for this is based on the Libreboot project, which also supports macbook2,1 Some macbook2,1 models are late 2006, others are early 2007. You do not need to use external flashing equipment when flashing the MacBook2,1 but the MacBook1,1 requires external flashing equipment while running Apple EFI firmware. Macbook2,1 laptops come with Core 2 Duo processors which support 64-bit operating systems (and 32-bit). The MacBook1,1 uses Core Duo processors (supports 32-bit OS but not 64-bit), and it is believed that this is the only difference. o § Education⠀➾ # ⚓ BSDCan ☛ Conference_Schedule_–_BSDCan_2022⠀⇛ You can find the full conference information at the conference website. This schedule is subject to changes. This page will be updated when any changes occur. o § Programming/Development⠀➾ # ⚓ On_language_package_managers⠀⇛ On one hand, I totally agree with Drew here. The fact that there are virtually no security measures in place for publishing packages to a registry is a source of our problems here. However, I’m also of the opinion that regardless of what protections a package manager puts into place for consumers, the ultimate responsibility falls on the consumer to properly vet their dependencies. I’m all for having standard practices put into effect to make it easier to follow a secure path, but that’s about where I draw the line. [...] I know Drew uses golang quite a bit, I wonder what he thinks about the no-registry paradigm that golang employs. I think it’s even easier to use than npm, but that comes with a big downside: there is no friction between creating a git repo with a golang package and a consumer using it. No review step and no further scrutiny. # ⚓ Duncan Lock ☛ Supply_Chain_Attacks_&_Package_Managers⠀⇛ I think I agree with this, essentially. We do need to change the way we do dependencies when developing – and having someone else review packages would help reduce supply chain attacks. I wanted to try and figure out if this solution – use official Linux distribution packages instead of language ones – would work in practice, what that might look like, and how that might scale. # ⚓ NLNet Foundation ☛ Open_source_R&D_programme_contributes 9.6_million_€_to_“digital_commons”⠀⇛ Today a coalition of 12 not-for-profit organisations from across Europe launches the first open call for a large new research programme, NGI Zero Entrust. The ambitious programme is part of the Next Generation Internet initiative which was initiated by the European Commission in 2016. The programme is the next iteration of NGI Zero, which is one of the most ambitious funding programme designs of its kind — providing bottom-up funding to create digital commons such as free and open source software, libre hardware and open standards with a pipeline of tailored support to help mature the technologies in question. # ⚓ Amos Wenger ☛ The_curse_of_strong_typing⠀⇛ So whereas Python has an “integer” and “float” type, Rust has different widths of integer types, like C and other system languages. # ⚓ Tom’s Hardware ☛ Hot_Pi_projects_for_hot_weather.⠀⇛ It’s hard to believe that summer is already here but it’s not hard to believe that makers have been super busy churning out some super cool Raspberry Pi projects. As the weather warms up for those in the northern hemisphere, so do the soldering irons of makers around the world. The makers featured in our list this month pulled out all the stops, using the best of the best Raspberry Pi accessories, HATs and more with some of the most creative concepts we’ve seen yet. Even if you don’t have cool accessories, these will show you how a little bit of ingenuity and programming can take your project to the next level. # § Shell/Bash/Zsh/Ksh⠀➾ # ⚓ Francesco Mazzoli ☛ How_fast_are_Linux_pipes anyway?⠀⇛ Section 4 is the heaviest on Linux kernel internals, so it might be interesting even if you’re familiar with the other topics treated in the post. For readers not familiar with the topics treated, only basic knowledge of C is assumed. * § Leftovers⠀➾ o ⚓ RFERL ☛ Russian_Journalist_Muratov_To_Auction_Nobel_Medal⠀⇛ The editor in chief of the independent Moscow-based newspaper Novaya gazeta, Dmitry Muratov, will be selling his Nobel Prize medal later this month to help Ukrainian refugees, Dallas, Texas-based Heritage Auctions says. The current bid for the medal that will be auctioned on June 20 is $260,000, Heritage Auctions said. o ⚓ The Nation ☛ First_Thought,_Best_Thought?_Not_for_Elon_Musk.⠀⇛ I have to admit to a fleeting moment of sadness when I clicked on The Hill recently only to discover that the center-right political news site had stopped running comments on all its articles. The Hill didn’t give any reason for the springtime shutdown, merely suggesting that readers head to Twitter or Facebook if they wanted to “participate in the conversation.” o ⚓ The Nation ☛ Raw_Speech,_Raw_Stories:_A_Conversation_With Fernanda_Melchor⠀⇛ Fernanda Melchor says she’s done empathizing with her characters. o § Education⠀➾ # ⚓ CS Monitor ☛ Benjamin_Franklin_bankrolled_200_years_of small_business_loans⠀⇛ His plan was simple: Both cities were to lend the money in small amounts to tradesmen who needed funds to set themselves up in business. The borrowers were to repay the loans over 10 years at 5% interest. According to Franklin’s calculations, the fund would grow dramatically. After 100 years, some of the funds would be distributed by the city leaders and after 200 years, all the remaining money would be given away. o § Hardware⠀➾ # ⚓ Hackaday ☛ 3D_Printed_Protection_Against_“Under-Door” Attacks⠀⇛ “Under-door” style attacks are when an attacker slides a tool through the gap underneath a door, hooks the interior handle from below, and opens the door by pulling the handle downward. This kind of attack works on the sort of doors and locks commonly found in hotels, where turning the handle from the inside always results in an open door. [Michal Jirků] found himself in a hotel room with a particularly large gap underneath the door, and decided to quickly design and print a door guard to protect against just such an attack. # ⚓ Hackaday ☛ Surprisingly_Stomp-able_Soft_Switches⠀⇛ Competition sure brings out the brute in people, doesn’t it? So what do you do when you need a bunch of switches you can let people fist-pound or stomp on repeatedly without them taking damage? You could look to the guitar pedal industry and their tough latching switches, or you could simply build your own smash-resistant buttons as [wannabemadsci] has done. # ⚓ Hackaday ☛ LED_Heart_Keeps_Tabs_On_Your_RuneScape Character⠀⇛ The MMORPG RuneScape holds a special place in the hearts of those who played it in the early 2000s. Sure it might seem exceptionally quaint by modern standards, but at the time it was groundbreaking stuff. Plus you could play it for free, which certainly helped get people onboard. While there’s a more modern build available, many who played the game from the early days prefer to stick with what they know, and continue to run a version of the game that has now become known as Old School RuneScape. # ⚓ Hackaday ☛ Practical_Transistors:_JFETs⠀⇛ Transistors come in different flavors. Tubes used an electric field to regulate current flow, and researchers wanted to find something that worked the same way without the drawbacks like vacuum and filament voltages. However, what they first found — the bipolar transistor — doesn’t work the same way. It uses a small current to modulate a larger current, acting as a switch. What they were looking for was actually the FET — the field effect transistor. These come in two flavors. One uses a gate separated from the channel by a thin layer of oxide (MOSFETs), and the other — a junction or JFET — uses the property of semiconductors to deplete or enhance carriers in the channel. [JohnAudioTech] takes a decidedly practical approach to JFETs in a recent video that you can watch below. # ⚓ Hackaday ☛ 3D_Printing_With_Sound,_Directly⠀⇛ Canadian researchers at Concordia University want to change how you do 3D printing. Instead of using light or thermal mechanisms, they propose using ultrasound-activated sonochemical reactions. Sounds wild? You can see a video about it below, or read the paper in Nature. # ⚓ Hackaday ☛ Power_Up_Your_Pencil_With_The_30,000_RPM_Erase- O-Matic⠀⇛ There are some inventions that look completely pointless to the untrained eye: who would ever need a motorized garbage can, an electric pencil sharpener or a battery-powered eraser? Quite often, it turns out that there is some niche use case where such tools make complete sense, as is the case for motorized erasers. Having a tiny piece of rubber spinning at high speed gives artists and drafters a way to very precisely delete or lighten bits of their drawing, something that’s nearly impossible to do with a regular eraser. o § Health/Nutrition/Agriculture⠀➾ # ⚓ Common Dreams ☛ Opinion_|_Inspector_General,_AMA_and_AHA Agree:_Some_Medicare_Advantage_Plans_Are_Endangering_Their Enrollees’_Lives⠀⇛ Medicare Advantage plans are endangering the lives of older adults and people with disabilities. The HHS Office of the Inspector General (OIG), which works to fight waste, fraud and abuse, recently issued a devastating report showing that these corporate health plans, which contract with the government to deliver Medicare benefits, are denying large amounts of care inappropriately.  # ⚓ ABC ☛ Nightclub_needle_attacks_puzzle_European authorities⠀⇛ The police official, who was not authorized to be publicly named according to national police policy, said: “At this stage, we can’t talk about a specific modus operandi. There aren’t any similarities between the cases. The only thing similar is that people are being injected with a needle in a festive context in different places in France.” # ⚓ Counter Punch ☛ Epidemic_on_Wheels:_Rising_Deaths_and Injuries_from_Road_Crashes⠀⇛ Around 1.35 million people die each year on the world’s roads, and another 20 million to 50 million are seriously injured. Half of these deaths and many of the injuries involve pedestrians, cyclists and motorcyclists – the most vulnerable users of roads and streets. Around the world, someone dies from a road accident every 25 seconds. The head of the United Nations Road Safety Fund has called road deaths and injuries a “silent epidemic on wheels”. # ⚓ The Revelator ☛ On_the_Clean_Water_Act’s_50th_Birthday, What_Should_We_Celebrate?⠀⇛ # ⚓ The Nation ☛ 550…_and_Counting⠀⇛ In March 1983, Larry Kramer published a piece in the New York Native called “1,112 and Counting”—a call to arms about a new virus circulating among gay men in the United States. One thousand one hundred and twelve was the number of cases at the time of this new disease, Acquired Immunodeficiency Syndrome (AIDS). Larry’s piece is a classic of what would be his over-the-top style throughout the AIDS epidemic, right up until a few months before his death in the midst of another plague, Covid-19. He takes aim with unsparing ire at everyone and anyone who might be implicated in the spread of this new disease, from the Centers for Disease Control to New York’s City Hall to the National Institutes of Health, Congress, and the White House—and then gay men themselves for sitting on their hands, ignoring the burgeoning crisis, underplaying the risk of what was unfolding in real time. # ⚓ Techdirt ☛ Automated_Moderation_Means_Distance_Learning Students_Are_Being_Called_Cheaters_Because_Reasons⠀⇛ The response to the COVID-19 pandemic in America was, at best, inadequate. Many voters who felt subservient to a failed businessman chose to view the pandemic as a conspiracy meant to unseat Donald Trump. Millions died. Many more millions continue to suffer. o § Proprietary⠀➾ # ⚓ Matt Rickard ☛ Product_Velocity_of_Alternative_Cloud Platforms⠀⇛ Product velocity is the number one indicator of a successful platform. One source of product velocity comes from having a differentiated backbone that creates the opportunity to bolt on existing functionality in a new way quickly. You built a differentiated backbone by holding one primitive constant (the network, database, metrics, etc.) and optimizing around that. # ⚓ Silicon Angle ☛ Serious_Windows_diagnostic_tool vulnerability_allows_[crackers]_to_take_over_a_computer [iophk: Windows TCO]⠀⇛ Known as CVE-2022-30190 in the Microsoft Support Diagnostic Tool, it was first reported May 27 by Nao Sec and then further detailed May 29 by security researcher Kevin Beaumont, who dubbed it “Follina.” The vulnerability primarily relates to Office but also spills into a core Windows function. The vulnerability, in this case, allows hackers to target Windows users via malicious Word documents. The malicious Word document uses the remote template feature to fetch an HTML file from a remote server. The download exploits the Microsoft Support Diagnostic Tool protocol scheme to download additional code and execute malicious PowerShell code. o § Security⠀➾ # § Privacy/Surveillance⠀➾ # ⚓ Common Dreams ☛ Civil_Rights_Groups_Demand_Google_End Complicity_in_‘Criminalization_of_Abortions’⠀⇛ More than 40 civil rights groups on Thursday warned that Google’s practice of collecting and storing the location data of its customers is likely to endanger people who seek abortion care if the U.S. Supreme Court overturns Roe v. Wade, as it’s expected to this summer, and demanded the company put human rights ahead of its profit-driven marketing tools. “Google’s collection and storage of location data will make the company complicit in the criminalization of people seeking abortions in a post-Roe world,” said the groups, including Fight for the Future, MediaJustice, and Amnesty International. “The company must immediately stop unnecessary collection and retention of our location data.” # ⚓ Techdirt ☛ Being_A_Supreme_Court_Clerk_Now_Hazardous To_Your_Privacy⠀⇛ As you certainly remember, last month Politico published a draft opinion, written by Justice Alito, overturning Roe v. Wade. The final ruling has not yet come out, but is expected soon (as the Supreme Court session is nearing its conclusion). There has been tremendous speculation over who leaked the draft (and why). There has been lots of pointing fingers and assumptions, but the truth is that almost no one actually knows other than whoever leaked it, and the journalists who received it. Much of the speculation has fallen on the law clerks at the Supreme Court — the recent law school grads who often do a lot of the work on the cases that come before the court. # ⚓ Adventure Rider ☛ UK,_EU_Cars_(But_Not_Bikes,_Yet) Fitted_With_Speed_Limiters⠀⇛ This comes as part of the General Safety Regulation passed in the EU. Mandates state “new models/types of vehicles introduced on the market,” beginning in July 2022, must arrive outfitted with this software. It will be mandatory for all new cars beginning in July 2024, ostensibly to give manufacturers time to retrofit their existing production models. # ⚓ NYOB ☛ Statement_on_4_Years_of_GDPR⠀⇛ GDPR did not change a culture of non- compliance. When the GDPR became applicable on 25 May 2018, it was perceived as a watershed moment. Comments were somewhere between the EU getting serious about privacy and the internet breaking down at midnight. The past four years have shown that a law alone does not change business models that are based on the abuse of personal data and a culture within the privacy profession that is often focusing on covering up non-compliance. After a first moment of shock, large part of the data industry has learned to live with GDPR without actually changing practices. This is mainly done by simply ignoring users’ rights and getting away with it. # ⚓ Site36 ☛ New_regulation:_Europol_becomes_the_Big_Data police⠀⇛ Comparatively quickly, EU member states and the Parliament have launched a new Europol regulation. Once set up to fight drug trafficking, the agency is being given even more powers. However, the agency in The Hague is still not a „European FBI“. At the end of 2020, the Commission had presented its proposal for the new regulation; in May this year, the three EU decision-making bodies agreed on a final version. After the Parliament, the EU interior ministers also confirmed the final version last week. Now only the publication in the Official Journal is missing, then the new law will apply. # ⚓ Patrick Breyer ☛ Data_Retention:_NGOs_call_on_German Minsters_to_Stop_Mass_Surveillance⠀⇛ In an open letter to the German Conference of Interior Ministers 13 organisations call for an end to mass data retention of citizen‘s connection and location data in Germany and the EU. Patrick Breyer, Member of the European Parliament (Pirate Party/Greens/EFA group) and digital rights activist comments: „The large-scale collection of information on day-to-day communication and location data of innocent citizens is an unprecedented attack on our right to privacy. This is the most intrusive method of the mass surveillance. For effective child protection we need child protection officers, child protection programme as well as competent and fast investigations – mass surveillance is not the solution. The steady violation of fundamental rights through the continuation of data retention policies, governmental pressure on judges and ignoring facts is an attack on the rule of law, which we need to stop.“ # ⚓ Site36 ☛ EU_instead_of_EC:_New_directive_facilitates cross-border_data_exchange⠀⇛ The 2006 „Swedish Initiative“ is being replaced by a new set of rules. This „Lisbonization“ of EU-wide information exchange comes with a uniform case management system and file format, and requires shorter deadlines for processing requests. # ⚓ EFF ☛ San_Francisco_Police_Nailed_for_Violating Public_Records_Laws_Regarding_Face_Recognition_and Fusion_Center_Documents⠀⇛ The Sunshine Ordinance Task Force further ordered SFPD to conduct a fresh search for records and respond point-by-point to EFF’s original records request within 5 days or potentially face sanctions. In the summer of 2019, San Francisco became the first major U.S. city to ban government use of face recognition, a technology that extracts information about a person’s face and compares that data to a database of images in order to establish identity. SFPD’s compliance with the ban came into question in September 2020 when the San Francisco Chronicle reported that SFPD had circulated a bulletin containing a surveillance camera image of a suspect, and in response, NCRIC staff used face recognition on the image and forwarded the results to SFPD. EFF and other organizations were concerned that this practice could constitute an end-run around the ban. EFF followed up by submitting a public records request to SFPD under the San Francisco Sunshine Ordinance asking for 11 different categories of documents, ranging from original bulletins and correspondence regarding the original case, general discussions over face recognition between SFPD and external parties, and all documents that establish the relationship between NCRIC and SFPD. o § Defence/Aggression⠀➾ # ⚓ Meduza ☛ A_Russian_man_with_a_facial_birth_defect_signed_a military_contract_to_pay_for_plastic_surgery._He_died_in Ukraine.⠀⇛ Anton Fedoseyev, a 21-year-old from Russia’s Leningrad region, died near Kharkiv in May 2022. Fedoseyev was born with a birth defect that affected his face and had long dreamed of getting plastic surgery. He signed a contract with the army to earn money to pay for the operation. He spoke to Sever Realii, a division of Radio Free Europe/Radio Liberty, before his death. # ⚓ Meduza ☛ What_has_been_achieved?_Russia’s_invasion_of Ukraine_is_about_to_mark_100_days._Meduza_sources_say_the Kremlin_told_state_media_‘not_to_focus_attention’_on_this fact.⠀⇛ Tomorrow, June 3, will mark 100 days since Russia launched its full-scale invasion of Ukraine. On the eve of this milestone, sources tell Meduza that Putin’s administration has “asked” state-controlled and pro-Kremlin media outlets “not to focus attention” on the duration of the “special military operation.” Meduza’s sources say this is an attempt to elide the fact that Russian troops haven’t been able to make significant gains after more than three months of war. # ⚓ Atlantic Council ☛ Russia’s_war_on_global_food_security⠀⇛ Russia has blocked and mined all of Ukraine’s Black Sea ports and hindered nearly all of Ukraine’s exports, notably of grain. Russia’s blockade of Ukraine’s grain exports may cause starvation of up to 47 million people. # ⚓ Spiegel ☛ How_Russia_Is_Slaughtering_Civilians_on_the African_Front⠀⇛ Moscow has become deeply involved in Mali, with its notoriously brutal Wagner Group showing little signs of restraint. The country is collapsing and the people live in fear. Meanwhile, Germany’s military may soon follow the French out of the country. # ⚓ CNN ☛ Opinion:_The_Republican_blueprint_to_steal_the_2024 election⠀⇛ That objective is not somehow to rescind the 2020 election, as they would have us believe. That’s constitutionally impossible. Trump’s and the Republicans’ far more ambitious objective is to execute successfully in 2024 the very same plan they failed in executing in 2020 and to overturn the 2024 election if Trump or his anointed successor loses again in the next quadrennial contest. The last presidential election was a dry run for the next. # ⚓ Paul Schaub ☛ foss_–_vanitasvitae’s_blog:_Europe_Trip Journal_–_Entry_30:_Thank_You_for_Traveling_with_Deutsche Bahn⠀⇛ So the obvious solution is less weapons. However, how does this solution apply to Russias war against Ukraine? Isn’t it double-standard to call for less weapons in the USA, while at the same time demanding delivery of weapons to Ukraine? # ⚓ Scheerpost ☛ Destroying_the_Town_Is_Not_Saving_It⠀⇛ Although the keynote speaker at this year’s Air Force Academy graduation was delivered by Secretary of Defense Lloyd Austin, historian and retired Air Force lieutenant colonel William Astore gives his own speech to the class leaving the institution where he once taught. # ⚓ Scheerpost ☛ Corporate_Media_Hypocrisy_Revealed_in_Buffalo Shooting_Coverage⠀⇛ Mainstream media has taken a political approach to exposing the ideologies, rather than searching for objective truth…Digging deeper into Gendron’s manifesto, it becomes questionable whether Carlson had anything to do with inspiring the bigoted views. # ⚓ Common Dreams ☛ Opinion_|_10_Negative_Consequences_of Boundless_US_Militarism_and_Imperialism⠀⇛ In recent years, the U.S. has seen great numbers of people and mass movements take to the streets to challenge the status quo. While domestic outrage grows, resistance to the U.S. war machine remains limited, even as President Joe Biden is looking to pass a military budget of $813 billion. This bloated budget proposal comes as inflation makes basic products unaffordable and funds for the ongoing pandemic are gutted.  # ⚓ Democracy Now ☛ Mass_Shootings_at_Home,_Mass_Arms_Exports Abroad:_A_Look_at_Deadly_Role_of_U.S._Weapons_Across_Globe⠀⇛ As U.S. lawmakers struggle to reach a consensus on legislation to curb gun violence in the wake of mass shootings, the U.S. also remains the largest international supplier of arms, funneling billions in military weaponry into wars in Ukraine and Yemen. Until there is a serious curtailment of U.S. militarism, it will continue to prioritize U.S. lives over lives abroad, says Norman Solomon, national director of RootsAction and executive director of the Institute for Public Accuracy, whose new piece is headlined, “How About Some Gun Control at the Pentagon?” International arms control advocate Rebecca Peters describes U.S. efforts to block weapons control efforts at the United Nations and adds that New Zealand’s swift action on gun control following the Christchurch mosque killings in 2019 should give the U.S. impetus to do the same. # ⚓ TruthOut ☛ US_Arms_Trade_Fuels_Mass_Shootings_at_Home_and Around_the_World⠀⇛ # ⚓ Common Dreams ☛ ‘Madness’:_Ohio_GOP_Passes_Bill_to_Arm Teachers⠀⇛ With Democrats decrying the proposal as “madness,” Republican state lawmakers on Thursday pushed through House Bill 99, which would allow school districts to send teachers and other staff to school with firearms. The legislation, which Republican Gov. Mike DeWine said he “looks forward to signing,” wold let school employees carry guns to school after undergoing just 24 hours of training. # ⚓ Common Dreams ☛ ‘Let_Us_Finally_Do_Something’:_Biden_Pleads for_Gun_Control_Amid_Mass_Shooting_Surge⠀⇛ President Joe Biden on Thursday delivered an urgent appeal for what advocates say are common-sense firearm control measures in the wake of recent massacres and a national culture of violence in which guns have claimed more lives over the past half-century than all the wars in U.S. history combined. “For the children we’ve lost. For the children we can save. For the nation we love. Let’s hear the call and the cry. Let’s meet the moment.” # ⚓ TruthOut ☛ The_Gun_Lobby_Sponsors_Majority_Leader_Steny Hoyer’s_Secretive_Island_Club⠀⇛ # ⚓ TruthOut ☛ Days_After_Uvalde,_Mass_Shooting_in_Tulsa_Leaves 4_Dead⠀⇛ # ⚓ Common Dreams ☛ Opinion_|_The_US_Supreme_Court_Also_Has Blood_on_Its_Hands⠀⇛ If you’re looking for someone or something to blame for the mass shootings that have left our schools, streets and communities soaked in blood, don’t just point your finger at the deranged punks who pull the triggers, or the NRA and their lackeys in the Republican Party. Save at least some of your ire for the Supreme Court.  # ⚓ Common Dreams ☛ Opinion_|_Toxic_Masculinity,_A_Root_Cause for_Mass_Shootings⠀⇛ In 2009, I wrote a short op-ed for The Oregonian on why men—and it is almost always men—become mass shooters. Re-reading the piece, I think it still holds up fairly well, though what is distressing is how 13 years later, we still find ourselves with this disturbing phenomenon. Considering the massacre of little children at Robb Elementary School and the Buffalo massacre, I felt compelled to re-visit my thoughts, amplify some key points. Most pointedly, like so many others, I am especially tormented by this recent atrocity, the killing of children aged 9 thru 11. Like how I felt about the Sandy Hook tragedy, I cannot fathom how such horrors can be inflicted on our children. And like so many others, I am with those who stress guns as the simplest way to ameliorate these mass shootings. Gun regulation is absolutely essential to at least cutting down on the number of mass shootings, legislation like background checks and assault rifle bans especially—obviously—key to keep weapons of war out of the hands of potential deranged killers. # ⚓ Counter Punch ☛ Welcome,_Children⠀⇛ American children, welcome to the shame of a country that, outrageously, requires you to endure lock-down drills against a random lottery of death for the sake of Second Amendment “freedom.” Those in power fanatically deny the root cause of massacres, which is, obviously, the sheer number and availability of guns in our country—400 million of them. Welcome to a culture that is beyond embarrassing in its hypocrisy, that fusses and fumes and even kills over the rights of fetal life but is apparently indifferent to your safety in the classroom. Where an infantile ex-president panders to the NRA by nattering on about mental illness when he himself is in dire need of intervention for pathological malignant narcissism. # ⚓ Counter Punch ☛ Guns_in_the_U.S.:_the_Chronic_Nightmare⠀⇛ With all my 22 year-old wisdom, six weeks of teacher training and three months of actual experience, I responded: “My man, I have three options. One, I can go for the gun and one of us will probably get shot. Two, I can try to reach behind me for the telephone and call the police during which you may shoot me. Or, three, I could ask you to leave the room and go outside to get your fix. I’m going to continue teaching the class for five minutes and leave you the option. It’s up to you.” Always give them options, I had been instructed, during the very short lesson we novice teachers had been given about similar situations in our brief apprenticeship. I then turned back to teaching the class. There was no panic in the students’ eyes. The scene was familiar to them, perhaps not in school, but definitely in their daily lives. # ⚓ Democracy Now ☛ Anatol_Lieven_on_Why_the_U.S._Must_Avoid_a “Permanent_Crusade_Against_Russia”_over_Ukraine⠀⇛ Friday marks the 100th day of the Russian war in Ukraine, and the United States warns the war could continue for many more months. We speak with Anatol Lieven, senior fellow at the Quincy Institute for Responsible Statecraft. His latest piece for The Atlantic argues that the U.S. is right to support Ukraine in its fight against Russia; however, without a clear strategy for peace and ending the war, the U.S. is at risk of repeating the mistakes made during the Cold War, when “containment of the Soviet Union in Europe was turned into a global crusade against communism.” # ⚓ Meduza ☛ ‘An_economic_crisis_will_sober_them_up’_Economist Andrei_Yakovlev_on_the_nature_of_Russia’s_ruling_coalition_— and_why_elites_have_failed_to_stop_the_war⠀⇛ It’s been more than three months since Russia invaded Ukraine and there haven’t been any major resignations from the Russian government. Indeed, no top officials have publicly spoken out against the war. Meduza spoke to the economist and Gaidar Prize laureate Andrei Yakovlev about what Russia’s elites are thinking, why they aren’t trying to influence the President, where the war is headed, and why the ruling class replacement system fell apart as soon as the Soviet Union collapsed. # ⚓ TruthOut ☛ Chomsky:_We_Must_Insist_That_Nuclear_Warfare_Is an_Unthinkable_Policy⠀⇛ # ⚓ Common Dreams ☛ Opinion_|_Putin’s_Foolish_War,_Poorly Waged⠀⇛ A blitzkrieg Russian invasion of Ukraine it was not. Marshall Zhukov, the Soviet Union’s famed tank general, must be rolling in his grave. Had Stalin still been in the Kremlin, Russia’s generals and defense minister would have by now been shot. At that time, the Red Army and its 50,000 tanks were believed able to burst through Germany’s Fulda Gap and central Austria and reach the key US supply base at Rotterdam in a week. # ⚓ EFF ☛ Axon_Must_Not_Arm_Drones_with_Tasers⠀⇛ EFF has stated strongly before that drones and robots, whether they be autonomous or remote- controlled, should not be armed–either with lethal or “less-lethal” weapons. And we’re far from the only group to do so. Police currently deploy many different kinds of moving and task-performing technologies. These include flying drones, remote control bomb-defusing robots, and autonomous patrol robots. While these different devices serve different functions and operate differently, none of them—absolutely none—should be armed with any kind of weapon. Mission creep is very real. Time and time again, technologies given to police to use only in the most extreme circumstances make their way onto streets during protests or to respond to petty crime. For example, cell site simulators (often called “Stingrays”) were developed for use in foreign battlefields, brought home in the name of fighting “terrorism,” then used by law enforcement to catch immigrants and a man who stole $57 worth of food. Likewise, police have targeted BLM protesters with face surveillance and Amazon Ring doorbell cameras.  # ⚓ Counter Punch ☛ War_as_Terrorism:_Conflicts_We_Can’t_Win, Suffering_We_Don’t_See⠀⇛ We kids had no way of faintly grasping that, in its essence, war actually involves civilian deaths galore. And why should we have? In that era when the only foreign conflict most of us knew about was the 1991 U.S. tromping of Iraq, mainly an air-power war from the American point of view, we certainly didn’t think about what we would now call war crimes. It might have been cause for a therapy referral if one of us had taken a G.I. Joe and pretended to shoot a child, whether armed with a suicide bomb or not. Having lived through more than a century and a half of relative peace in our homeland while fighting endless conflicts abroad, only in the past 20 years of America’s post-9/11 war on terror, waged by U.S. troops in dozens of countries around the world, have some of our children begun to grapple with what it means to kill civilians. # ⚓ Counter Punch ☛ Biden,_Taiwan,_and_Strategic_Ambiguity⠀⇛ At a stopover in Tokyo during his Asia trip, President Biden was asked whether the US would “defend Taiwan” if it were attacked. He said yes, because “that’s the commitment we made.” Actually, there is no formal “commitment,” unlike defense obligations in US security treaties with Japan and South Korea. Biden has made the same incorrect assertion twice before, but this time it was in the context of the war in Ukraine, suggesting—but by no means confirming—what defending Taiwan might actually mean. Biden did, however, provide just enough fuel to raise questions about his adherence to previous policy based on “strategic ambiguity.” Let’s keep in mind that US presidents have supported Taiwan’s defense for many years, not just by way of substantial military aid and active responses in crisis situations, such as in 1996 when China deployed missiles in an attempt to intimidate Taiwan during a presidential election. Presidents are also bound by the 1979 Taiwan Relations Act, which requires provision of defense assistance to Taiwan in the context of defining Taiwan as a US national security interest. The Act: # ⚓ Counter Punch ☛ An_Unspeakable_Crime⠀⇛ Four months ago, two days before the civilized world celebrated one year since the Treaty on the Prohibition of Nuclear Weapons came into force on January 22, officials here at the Kansas City National Security Campus hosted a virtual celebration of a different milestone with partners from across the National Nuclear Security Administration and U.S. Air Force. “With great pride and excitement,” they recognized the completion of the B61-12 bomb’s Life Extension Program’s first production unit. This plant is responsible for producing 39 major non-nuclear component assemblies of the B61-12. The trillion-dollar program of extending the lives of nuclear weapons is at odds with the Nuclear Non- Proliferation Treaty, ratified into law by the United States, flouting Article VI of the treaty, which requires “all Parties undertake to pursue good-faith negotiations on effective measures relating to cessation of the nuclear arms race, to nuclear disarmament, and to general and complete disarmament.” In the nine years since the B61-12 Life Extension Program was put into action, the life expectancy of humans in this country has plummeted. Undaunted, the NNSA boasts that it has extended the life expectancy of the B61-12 by at least 20 years! # ⚓ Counter Punch ☛ New_York_Times_Admits_Truth_of_Haitian Coup⠀⇛ French ambassador Thierry Burkard admits that President Jean-Bertrand Aristide’s call for the restitution of Haiti’s debt (ransom) of independence partly explains why he was ousted in 2004. Burkard told the Times the elected president’s removal was “a coup” that was “probably a bit about” Aristide’s campaign for France to repay Haiti. Other major outlets have also investigated the coup recently. In 2020 Radio-Canada’s flagship news program “Enquête” interviewed Denis Paradis, the Liberal minister responsible for organizing the 2003 Ottawa Initiative on Haiti where US, French and Canadian officials discussed ousting the elected president and putting the country under UN trusteeship. Paradis admitted to Radio-Canada that no Haitian officials were invited to discuss their own country’s future and the imperial triumvirate broached whether “the principle of sovereignty is unassailable?” Enquête also interviewed long time Haitian Canadian activist and author Jean Saint-Vil who offered a critical perspective on the discussion to oust Aristide. # ⚓ Counter Punch ☛ Love_in_Vain⠀⇛ On this Memorial Day, 2022, I found myself thinking, as we are asked to do, of those people who lost their lives to war. Memorial Day is dedicated specifically to those in the military who lost their lives but my mind cannot think of them without thinking of all the others who died in war, the civilians, men, women, children and not just here In the US as our waving flags would suggest that we should but, again, seeing the over-all connection between each and every one of us, from here to there, around the globe and across time, I think of them. I thought of my father and my grandfather, your fathers and grandfathers. I thought of wars being fought today and of those wars that we have been fighting throughout time. I thought of the Lakota brave fighting against the Cree, I thought of the Chinese peasant being over-run by the Mongol hoards. I stretched my mind to consider any and every battle that has ever been fought and the dead. # ⚓ Common Dreams ☛ Opinion_|_Why_This_Google_Shareholder_Wants an_End_to_Project_Nimbus⠀⇛ Yesterday, for the first time in company history, Google shareholders like me voted on a resolution that calls into question a contract with the Israeli government and military known as Project Nimbus. Hundreds of Google’s own employees have spoken out against this controversial contract, which provides advanced technology that will be used to further oppress and harm millions of Palestinians. # ⚓ Common Dreams ☛ Opinion_|_The_Ethnic_Cleansing_of_Masafer Yatta:_Israel’s_New_Annexation_Strategy_in_Palestine⠀⇛ The Israeli Supreme Court has decided that the Palestinian region of Masafer Yatta, located in the southern hills of Hebron, is to be entirely appropriated by the Israeli military and that a population of over 1,000 Palestinians is to be expelled. # ⚓ The Nation ☛ War_Is_a_Form_of_Terrorism⠀⇛ Anyone who grew up in my generation of 1980s kids remembers G.I. Joe action figures—those green- uniformed plastic soldiers you could use to stage battles in the sandbox in your backyard or, for that matter, your bedroom. In those days, when imagery of bombed-out homes, bloodied civilians, and police violence wasn’t accessible on TV screens or in video games like Call of Duty, war in children’s play took place only between soldiers. No civilians were caught up in it as “collateral damage.” o § Transparency/Investigative Reporting⠀➾ # ⚓ Common Dreams ☛ Opinion_|_Supreme_Court_Sides_With Government_Secrecy_Powers_in_Torture-Related_Case⠀⇛ The U.S. Supreme Court ruled recently on the government’s use of the state secrets doctrine in an opinion that will make it easier for intelligence agencies to evade accountability in future individual rights cases. In U.S. v. Zubaydah, government torture policy and state secrets converge. A torture victim requested information related to his treatment at a CIA “black site,” and the government blocked that request, citing national security interests. Seven members of the Court joined parts of an opinion siding with the government, with only Justices Sotomayor and Gorsuch dissenting. The case has implications for other torture-related cases and for government accountability more broadly as it expands state secrecy powers based on a doctrine that was already overbroad, and suspect in its origins. o § Environment⠀➾ # ⚓ NPR ☛ California_cracks_down_on_water_use_as_it_sees_its most_severe_drought_ever⠀⇛ About 27 million Californians get their water from the State Water Project, “a multi-purpose water storage and delivery system that extends more than 705 miles — two-thirds the length of California,” according to the California Department of Water Resources. # ⚓ Common Dreams ☛ Scientists_Urge_‘Transformative_Change’_to Stave_Off_Climate,_Biodiversity_Collapse⠀⇛ Building on a landmark report from last year, 18 top scientists this week emphasized “the need for transformative change” to take on the connected biodiversity and climate crises—and that “bringing about transformative change requires transformative governance.” “We need urgent and decisive action amidst the accelerating climate and biodiversity crises.” # ⚓ Democracy Now ☛ Climate_Crisis,_Ukraine_War_Worsen_Food Crisis_in_East_Africa;_Someone_Dies_of_Hunger_Every_48_Secs⠀⇛ In a devastating new report, Oxfam says one person is likely dying from hunger every 48 seconds in drought-ravaged Ethiopia, Kenya and Somalia. We speak with Shannon Scribner, director of humanitarian work at Oxfam America, about how the hunger crisis has worsened since an earlier report was released 10 years ago. She says climate change and the recent war in Ukraine have worsened already dire conditions in East Africa. Researchers have been warning for years that drought and famine would be on the horizon, says Scribner. “We really need a system that is more responsive to those early warnings.” # ⚓ Common Dreams ☛ Critics_Warn_GOP_Climate_Plan_‘Farce’_Is Recipe_for_Planetary_Disaster⠀⇛ Climate campaigners and progressive U.S. lawmakers reacted with disdain and derision Thursday to news that House Republicans would put forth a purported climate strategy that calls for increased fossil fuel production and sets no targets for reducing planet-heating greenhouse gas emissions. “This stunt is a not-even-thinly veiled attempt to bullshit the press and the public. It’s time to stop falling for it.” # § Energy⠀➾ # ⚓ Helsinki Times ☛ Forum_for_fossil-free_transport focused_on_the_green_transition_in_heavy_transport⠀⇛ The Finnish Ministry of Transport and Communications organised a round table on the green transition in heavy transport on 30 May 2022, to hear the views of various interest groups on the needs of heavy-duty vehicles and heavy transport in general when transport is moving towards a fossil-free era. The discussion also focused on the current situation in the fuel markets, EU legislation related to fuels and vehicles as well as forms of support that promote the green transition in heavy transport. # ⚓ Common Dreams ☛ ‘Atrocious’:_Green_Groups_Blast_UK Approval_of_Jackdaw_Gas_Field⠀⇛ Climate activists in the U.K. announced emergency protests in London and Edinburgh for Thursday in response to the government’s regulatory approval of Shell’s new Jackdaw gas drilling project in the North Sea. “Approving Jackdaw was a desperate and destructive move from [Prime Minister] Boris Johnson’s government,” said Greenpeace U.K., declaring its intention to “fight back and stop” the gasfield including through possible legal action. # ⚓ Hungary ☛ EU_Russian_oil_ban_held_up_because_Hungary objected_to_sanctioning_Patriarch_Kirill⠀⇛ After long negotiations, the European Union finalized its decision to ban purchases of all seaborn Russian oil and refined products for six to eight months on Monday. The deal exempts Hungary from the embargo, allowing it to continuously purchase crude from Russia, which has invaded the neighboring country, Ukraine. Hungary’s nationalist Prime Minister Viktor Orban celebrated the outcome of the negotiations on his Facebook page: “Hungary is exempt from the oil embargo!” Since Hungary accounts for only a fraction of the flow of Russian oil to the European Union, the ban means billions of dollars in loss for Russia. # § Wildlife/Nature⠀➾ # ⚓ Counter Punch ☛ Who_Cashes_in_After_a_California Wildfire?⠀⇛ # ⚓ Common Dreams ☛ Codify_Arctic_Refuge_Protections,_Say Campaigners_Amid_Big_Oil_Exodus⠀⇛ Conservationists and climate campaigners on Thursday welcomed the news that another fossil fuel company has canceled a controversial Trump-era lease to drill for oil in Alaska’s Arctic National Wildlife Refuge, while calling on policymakers to permanently protect the pristine wilderness from future threats. “As oil companies terminate and cancel leases, it’s time for Congress to stop the leasing program for good.” # § Overpopulation⠀➾ # ⚓ The Guardian UK ☛ ‘Consequences_will_be_dire’: Chile’s_water_crisis_is_reaching_breaking_point⠀⇛ In hundreds of rural communities in the centre and north of the country, Chileans are forced to rely on emergency tankers to deliver drinking water. “Water has become a national security issue – it’s that serious,” said Pablo García- Chevesich, a Chilean hydrologist working at the University of Arizona. “It’s the biggest problem facing the country economically, socially and environmentally. If we don’t solve this, then water will be the cause of the next uprising.” # ⚓ Overpopulation ☛ What_have_you_learned_in_school about_population?_Please_tell_us!⠀⇛ Many of our readers may have memories from their school years of lessons about population growth – or perhaps memorable situations when population talk was avoided. As far as we know, there are few studies regarding how population is taught around the world. TOP wants to know more about this, whether your memories are from elementary school, university, or any level in between. o § Finance⠀➾ # ⚓ Scheerpost ☛ The_Chris_Hedges_Report:_How_to_Defeat_the Billionaire_Class⠀⇛ Seattle City Councilmember Kshama Sawant describes how her party has mobilized ordinary people to win victories in the war being waged on the working class and the poor—despite opposition from Democrats. # ⚓ TruthOut ☛ Seattle_City_Council_Passes_US’s_First_Minimum Wage_Guarantee_for_Gig_Workers⠀⇛ # ⚓ Common Dreams ☛ ‘We’re_Fighting_for_Everybody,’_Say_Former Corinthian_Students_as_Biden_Cancels_Their_Debt⠀⇛ The Biden administration announced late Wednesday that it will wipe out $5.8 billion in federal loan debt held by half a million borrowers who attended Corinthian Colleges, a for-profit education business that shut down in 2015 after defrauding students across the country. The victory for an estimated 560,000 borrowers is a product of seven years of relentless campaigning and organizing by the Corinthian 15, a group of debtors who teamed up in 2015 and refused to pay off their loans as a protest against the federal government’s inaction—and, in the case of the Trump administration, brazen efforts to block avenues toward relief. # ⚓ TruthOut ☛ As_Biden_Cancels_Corinthian_Students’_Debt,_They Urge_Cancellation_for_All⠀⇛ # ⚓ Counter Punch ☛ Will_US_Rate_Hikes_Harm_Developing Countries?⠀⇛ # ⚓ Pro Publica ☛ Atlantic_City_Casinos_Pled_Poverty_to_Get_a Huge_Tax_Break⠀⇛ Last fall, amid the second year of the pandemic, Atlantic City’s casino executives painted a dire picture for New Jersey’s Legislature. Their brick- and-mortar properties were struggling. And despite thriving online gaming businesses, casinos said they were losing most of that revenue to companies that operate the internet gambling sites. If policymakers didn’t cut casinos’ tax burdens, industry leaders forecast “grave danger” ahead. The state Senate president went further, warning that four of the city’s nine casinos could close. # ⚓ Pro Publica ☛ New_Jersey_Officials_Refused_to_Provide_the Numbers_Behind_New_Casino_Tax_Breaks._So_We_Did_the_Math.⠀⇛ When New Jersey officials passed sweeping tax cuts for Atlantic City’s casinos last year, they offered broad claims but little evidence. At issue, they said, was just how much the industry’s taxes were going to rise under the system that determines how much casinos pay in lieu of property taxes. # ⚓ Common Dreams ☛ ‘Disaster_for_Millions_of_Kids’_Looms_as GOP_Obstruction_Threatens_School_Meal_Programs⠀⇛ In fewer than 30 days, a slew of federal waivers that have enabled schools across the United States to provide free breakfast and lunch to students during the coronavirus pandemic are set to expire, potentially leaving millions of children without easy access to critical meals. And to the dismay of advocates, Congress—which is currently on recess—doesn’t appear poised to act. o § AstroTurf/Lobbying/Politics⠀➾ # ⚓ The Nation ☛ Talk_Me_Down_Here:_Can_This_Country_Be Saved?⠀⇛ May was an awful month. From the leak of the draft Supreme Court ruling striking down abortion rights in the United States on May 3, to the massacre of 10 Black people in Buffalo, N.Y., by a white supremacist May 14, to the slaughter of 19 children and two teachers in Uvalde, Tex., just last week, it’s hard to escape the conclusion that we are, increasingly, two nations, where the minority is trampling the rights of the majority, and is literally willing to kill some of us to establish its rule. # ⚓ ANF News ☛ Turkish_occupation_discussed_in_Sulaymaniyah⠀⇛ The meeting in Sulaymaniyah’s Mêrgepan region drew a large number of writers, journalists, academics, activists, and politicians from Southern Kurdistan, as well as members of the Democratic Union Party (PYD) Representative Office and representatives of the Autonomous Administration of North and East Syria (AANES). The meeting discusses the dangers of the occupation on the status of the Kurdistan Region, as well as the attacks of the Turkish state. # ⚓ France24 ☛ ‘End_of_an_era’:_Facebook_No._2_Sheryl_Sandberg steps_down_after_14_years⠀⇛ Meta’s second most powerful executive Sheryl Sandberg made the shock announcement Wednesday she will leave after a 14-year tenure that included helping steer scandal-prone Facebook to advertising dominance. # ⚓ Lee Yingtong Li ☛ A_conceptual_primer_on_the_single transferable_vote_–_1:_Building_a_fair_voting_system⠀⇛ The single transferable vote (STV) is a family of multiple-winner voting systems which provide proportional representation by allowing voters to rank candidates in order of preference. This series provides a primer on the principles of STV, from its conceptual foundations through to contemporary developments in STV systems (such as the weighted inclusive Gregory and Meek methods of STV). # ⚓ Lee Yingtong Li ☛ A_conceptual_primer_on_the_single transferable_vote_–_2:_Andrae’s_and_Hare’s_methods⠀⇛ At the end of part 1, we provided an outline of STV: a voting system which mimics the effect of repeated SNTV, where each voter has only 1 vote at a time, but where the voting system automatically redirects wasted votes from candidates elected with more votes than they need, and from candidates with no hope of election, without voters needing to physically vote again In this part, we turn this outline into a complete (albeit primitive) implementation of STV. # ⚓ Lee Yingtong Li ☛ A_conceptual_primer_on_the_single transferable_vote_–_3:_Refining_random_transfer_STV⠀⇛ In part 2, we described the original 1873 implementation of STV by Thomas Hare, noting that the method then proposed was highly influenced by the effect of random chance. In this part, we will introduce some strategies to reduce this effect somewhat. For the sake of illustration, we will slightly adjust the votes in the Suburbia Pet Owners’ Association election to be slightly less homogeneous: [...] # ⚓ Lee Yingtong Li ☛ A_conceptual_primer_on_the_single transferable_vote_–_4:_Exclusive_Gregory_method⠀⇛ In part 3, we discussed a refinement to random transfer STV, noting that even in refined form it is still subject to random effects. In this part, we introduce a method which eliminates randomness from STV completely. # ⚓ Purism ☛ Is_Ethical_Advertising_Possible?⠀⇛ Is ethical advertising possible? We all certainly know unethical advertising is possible, we live with it every day. The ad-driven Internet has created an insatiable hunger for personal data and as a result most of what the average person does in their web browser, or on their phone, and in real life is being measured, tracked, and sold to some degree. Yet if a company actually cared about your privacy and wanted to advertise its products, could it do so ethically? Can you track what a visitor does on your website without violating their privacy? We have been thinking about these issues heavily at Purism as we consider how to expand our marketing and in this article I’m going to explore where we currently are in our thinking. # ⚓ Hungary ☛ Orbán:_Hungary’s_stance_on_sanctioning_Patriarch Kirill_has_been_well_known⠀⇛ # ⚓ Common Dreams ☛ Probe_Aimed_at_Trump-Appointed_Social Security_IG_Who_Targeted_Poor_and_People_With_Disabilities⠀⇛ An independent watchdog group launched a probe into Trump-appointed Social Security Inspector General Gail Ennis and her staff this week after reporting shined light on the massive fines they have imposed on poor people and people with disabilities, ostensibly in an effort to punish “fraud.” The fines in question were levied as part of the Civil Monetary Penalty Program, an obscure anti- fraud initiative run by Ennis’ office. Documents obtained by the Washington Post show that over a seven-month period ending in mid-2019, 83 people were charged a total of $11.5 million in penalties under Ennis’ watch. # ⚓ TruthOut ☛ Leaked_Tapes_Reveal_GOP’s_Plan_to_Train_Right- Wing_Operatives_to_Be_Poll_Workers⠀⇛ # ⚓ Counter Punch ☛ Election_Gambit:_Australia,_Sri_Lanka_and Politicising_Asylum⠀⇛ When it comes to policy Down Under, the United Nations Refugee Convention is barely worth a mention.  Politicians are proudly ignorant of it; the courts pay lip service to the idea while preferring rigid domestic interpretations of the Migration Act; and the United Nations is simply that foreign body which makes an occasional noise about such nasties as indefinite detention. It should therefore have come as no surprise that, in the dying days of the Morrison government, another chance to stir the electorate by demonising refugees arose – somewhat conveniently.  As voters were, quite literally, heading to the polls, the commander of the Joint Agency Task Force Operation Sovereign Borders, Rear Admiral Justin Jones, revealed that a vessel had “been intercepted in a likely attempt to illegally enter Australia from Sri Lanka.” # ⚓ TruthOut ☛ Progressive_Jamie_McLeod-Skinner_Triumphs_Over Big_Pharma_Ally_Kurt_Schrader⠀⇛ # ⚓ The Nation ☛ Biden’s_Executive_Order_on_Police_Reform_Is Too_Little,_Too_Late⠀⇛ Last week, a day after local police in Texas threatened to Taser parents instead of going into Robb Elementary School to stop a mass murderer from killing their children, President Joe Biden signed an executive order on police reform. The order came two years after a police officer in Minnesota crushed the life out of George Floyd in broad daylight, and many months after Senators Joe Manchin and Kyrsten Sinema joined every Republican in the Senate to protect their precious filibuster and kill the George Floyd Justice in Policing Act. # ⚓ The Nation ☛ MAGAhead⠀⇛ # ⚓ Meduza ☛ ‘It’s_lucky_we_managed_to_open_up_at_all’_Russia’s most_audacious_cultural_project_in_recent_years,_GES-2, opened_in_Moscow_last_December._On_February_24,_its_future was_forever_altered.⠀⇛ Six months ago, GES-2, an arts and culture center housed in a decommissioned Moscow power station, opened on Moscow’s Bolotnaya Embankment. It was the brainchild of Leonid Mikhelson, one of Russia’s richest businessmen, and was initially headed by Italian curator Teresa Iarocci Mavica. The building, which was originally built in 1907, was reconstructed by influential architect Renzo Piano. In December 2021, after seven years of design and construction work followed by a private showing for Vladimir Putin, the center was officially opened to the public. GES-2 instantly became the center of Moscow’s cultural life — until Russia launched its war in Ukraine. Cut off from the West, the institution found itself in isolation, while its philosophy suddenly appeared incompatible with Russia’s new reality. The staff, from curators to executives, began to resign. Ksenia Korobeynikova, an art critic and author of the Ku-ku Telegram channel, spoke to Meduza about the center’s uncertain prospects. # § Misinformation/Disinformation⠀➾ # ⚓ Axios ☛ Infowars’_bankruptcy_law_shell_game⠀⇛ Context: It’s not uncommon for companies to file for bankruptcy as a way to consolidate and settle onerous litigation damages (think Purdue Pharma’s opioid liabilities, and the wildfire-related claims against PG&E). Why it matters: Still, Infowars’ April bankruptcy — filed by three corporate entities related to Jones and the publication — seeks to use a new section of the law in a way that could break through previously understood boundaries of what the bankruptcy code is intended to accomplish. # ⚓ CISSAR ☛ War_on_Ukraine:_Tackling_disinformation⠀⇛ Disinformation threatens democracy, security, social cohesion and public health worldwide. The ongoing war in Ukraine is the latest example of disinformation being weaponized to sow confusion and division both at home and abroad. Experts discuss the threat of disinformation to peace and democracy in Ukraine: [...] o § Censorship/Free Speech⠀➾ # ⚓ Meduza ☛ Meduza’s_brief_guide_to_accessing_VPNs_blocked_by the_Russian_authorities⠀⇛ On June 2, Russia’s censorship agency confirmed that it is working to block VPN services that allegedly “violate Russian law.” Given the high degree of Internet censorship in Russia today, many people rely on VPNs (virtual private networks) to circumvent online blocks. As of this writing, users in Russia are already reporting problems accessing several services, including ProtonVPN, Lantern, and Outline VPN.  # ⚓ Techdirt ☛ Lawsuit_Alleges_Massachusetts_School_Officials Violated_First_Amendment_By_Abusing_State’s_Wiretap_Law⠀⇛ An interesting case involving the First Amendment right to record is working its way through the federal court system. It involves a man who recorded his interactions with public school officials, posted that video to Facebook (along with his commentary), and was subsequently threatened with prosecution under Massachusetts’ oft-abused wiretap law. # ⚓ Bloomberg ☛ Turkey’s_Digital_‘Fake_News’_Proposal_Fuels Censorship_Fears⠀⇛ Turkey’s ruling party has sent to parliament a draft bill seeking prison terms of as much as three years for the spread of “disinformation” and “fake news” on digital platforms, a move government critics say would enable censorship and stifle dissent. # ⚓ YLE ☛ Russia_blocks_access_to_[YLE]_websites⠀⇛ Russia’s federal communications supervision authority, Roskomnadzor, has blocked most [YLE] services in Russia. The yle.fi website appeared in Roskomnadzor’s register of banned sites on Thursday. The decision to block the yle.fi domain was made by the office of the Prosecutor-General of Russia on 27 May. # ⚓ RiskyBiz ☛ Risky_Biz_News:_Russia_orders_Google_to_remove Tor_Browser_from_Russian_Play_Store⠀⇛ Roskomnadzor, Russia’s telecommunications watchdog, has ordered Google to remove the Tor Browser Android app from the Russian version of the Play Store, the agency said in a message posted on its official Telegram channel on Tuesday. The agency said that the Tor Browser allows users to access the Tor network, which it had previously ruled that it contains “content prohibited in Russia.” # ⚓ RFA ☛ Tiananmen_massacre_vigil_organizer_says_Hongkongers ‘refuse_to_forget’_despite_ban⠀⇛ Chiu Yan-loy, a community officer in Hong Kong’s Tsuen Wan district and former leading member of the now-disbanded Hong Kong Alliance in Support of Patriotic Democratic Movements of China, won’t be lighting candles in Victoria Park this year. The once-annual vigil commemorating those who died at the hands of the People’s Liberation Army (PLA) as it crushed a weeks-long peaceful protest on Beijing’s Tiananmen Square has been effectively banned for the third year running. Chiu has already served eight months in prison for taking part in an unauthorized vigil in 2020. Instead, Hongkongers will be remembering the dead in private, amid a city-wide crackdown on public dissent under a draconian national security law. # ⚓ RFERL ☛ Homes_Of_Moscow_Anti-War_Activists_Searched_Amid Crackdown⠀⇛ Police in Moscow have searched the homes of several journalists and activists who have openly protested Russia’s ongoing unprovoked invasion of Ukraine. The June 2 searches were linked to a probe launched into the alleged distribution of false information about the use of Russia’s armed forces for the war in Ukraine. # ⚓ The Gamer ☛ Magic:_The_Gathering_Censors_Demon_Nipple_In New_Card⠀⇛ Artist Sam White shared their original piece on Twitter, nipples and all. They followed up by noting that Wizards of the Coast censored the card itself. “Cant say im shocked tbh,” White tweeted. # ⚓ SCMP ☛ Tencent_restructures_its_news_team_as_online censorship_and_competition_with_short_video_outfits_such_as Douyin_grows_in_China⠀⇛ Intensifying online censorship and mounting competition from Douyin and others have changed the newsroom’s focus o § Freedom of Information / Freedom of the Press⠀➾ # ⚓ Sydney Morning Herald ☛ Pressure_on_Anthony_Albanese_to stick_to_his_word_on_Julian_Assange⠀⇛ Government MP Julian Hill has urged Prime Minister Anthony Albanese to stick to his principles and encourage the United States to drop its extradition of Julian Assange. # ⚓ Dawn Media ☛ Speech_and_censorship⠀⇛ Pakistan’s ranking fell a further 12 places on the Reporters Without Borders Press Freedom Index released earlier this month. This has to be a point of introspection for Pakistanis, especially those who wield power in the civil-military bureaucracy as well as political leaders in the recent merry- go-round of governments. # ⚓ CPJ ☛ Taliban_intelligence_agents_detain_four_media_workers in_Kabul,_Herat,_and_Paktia_provinces⠀⇛ Taliban authorities must investigate the beating and detention of journalist Roman Karimi and the detention of his driver, who goes by the single name Samiullah, and immediately and unconditionally release radio station owner Jamaluddin Dildar and former radio station owner Mirza Hasani, the Committee to Protect Journalists said Tuesday. o § Civil Rights/Policing⠀➾ # ⚓ Business Insider ☛ Elon_Musk_said_working_from_home_during the_pandemic_‘tricked’_people_into_thinking_they_don’t_need to_work_hard._He’s_dead_wrong,_economists_say.⠀⇛ provider NordVPN Teams suggested that in many economies, working from home meant people worked longer hours. Albrecht Ritschl, an professor of economic history, also said cutting out commuting was a bonus to worker productivity, and added that working from home led to fewer hours spent in “pointless meetings.” # ⚓ YLE ☛ Illegal_sales_calls_made_by_robots_still_a_problem, says_consumer_authority⠀⇛ Sales calls made through automated calling systems, or “robocalls,” are on the rise in Finland. However the recipients’ consent is not always obtained even though this is required by law, according to the Finnish Competition and Consumer Authority. In contrast to human telemarketers, non-human callers must obtain the recipient’s consent before contacting them. # ⚓ Counter Punch ☛ The_Culture_Wars_After_Roe⠀⇛ On a bitter cold day, the newly installed president held a signing ceremony for the new law in the White House Rose Garden.  Literally freezing, Trump signed the bill into law before a large gathering of pro-life campaign supporters and leading Republican politicians as well as friends, family and major doners.  Giant overhead heaters had been installed so that some of those attending were actually sweeting. Like a world-championship sporting event, the ever-attentive media carried the event live, including on TV, radio and innumerable streaming services. One commentator noted that Trump reminded him of former Pres. Ronald Reagan. “Reagan was dubbed the ‘Evangelist in Chief,’” recalled the reporter. “Like Reagan, Trump is the leader of the so-called ‘Christian Nation movement.’”[1]  Another excited journalist reminded her audience that some Republicans considered the new legislation “moderate” because it allows individual states to determine the degree of anti-abortion enforcement that would be maintained. “Some states adopted an absolutist approach, prohibiting all abortions under any circumstance,” she noted.  “Others were more moderate, permitting abortions for medical reasons or due to rape, whether by a stranger or parent.” # ⚓ TruthOut ☛ Most_Americans_Identify_as_“Pro-Choice”_Ahead_of Midterms,_New_Poll_Finds⠀⇛ # ⚓ Techdirt ☛ Prosecutors_Lose_Drug_Conviction_After_Appeals Court_Reminds_Them_They_Can’t_Ignore_The_Presumption_Of Innocence⠀⇛ There are several things prosecutors can’t do when handling criminal trials. They still do them, of course. They suborn perjury. They deny defendants access to exculpatory evidence. They present junk science as actual science. And, every so often, they ignore the presumption of evidence that’s supposed to be the foundation of the American justice system. # ⚓ Techdirt ☛ DOJ_Updates_Force_Policy,_Creates_Affirmative Duty_To_Intervene_When_Officers_Violate_Rights⠀⇛ A little more than a week ago, the Department of Justice updated its policy regarding CFAA (Computer Fraud and Abuse Act) prosecutions. For years, the DOJ had been complicit in the punishment of security researchers for doing their jobs, reasoning that unauthorized access was the only criminal element it needed to satisfy. The guidance — which had not been completely updated for years — reversed this course, affirmatively stating the DOJ would no longer seek prosecution of good faith security research efforts, making it a bit less dangerous to be a security researcher. # ⚓ The Nation ☛ How_We_Brought_Ethnic_Studies_to_My_High School⠀⇛ Two summers ago, I was going through old binders when I came across a worksheet from my fifth-grade social studies unit on Christopher Columbus. A chart took up most of the page, dividing it into two sections: one for the pros and one for the cons of Columbus’s colonizing voyages. My thick, slanted, 10-year-old writing was clustered on the “cons” side, where I listed five negatives, including “Christopher Columbus put the Taínos into enslavement and if they could not give him gold they were executed.” I wrote just one positive: that “he discovered most of Central America,” which, of course, is not true. o § Internet Policy/Net Neutrality⠀➾ # ⚓ Internet Society ☛ “Old_Rules_in_New_Regulations”_–_Why “Sender_Pays”_Is_a_Direct_Threat_to_the_Internet⠀⇛ The basic idea of the Internet is a network of independent networks that interconnect to form a shared system of connectivity across all participants. This model has proven its value time and time again over the last decades, and most recently during the COVID-19 pandemic. The voluntary inter-networking arrangements allows network operators to optimize their connectivity with others to meet their customers’ needs. The result has been an efficient and resilient network that is able to evolve to host new applications (like voice calls or gaming), and to deploy innovative services at a global scale. And this happens without prior contracting with everyone in the system. It’s quite literally the result of the Internet “way of networking”. # ⚓ Techdirt ☛ 6G_Hype_Begins_Despite_Fact_5G_Hasn’t_Finished Disappointing_Us_Yet⠀⇛ Fifth-generation wireless (5G) was supposed to change the world. According to carriers, not only was it supposed to bring about the “fourth industrial revolution,” it was supposed to revolutionize everything from smart cities to cancer treatment. Simultaneously, conspiracy theorists and internet imbeciles declared that 5G was responsible for everything from COVID-19 to your migraines. o § Digital Restrictions (DRM)⠀➾ # ⚓ Digital Music News ☛ Social_Messaging_App_TIYA_Integrates Spotify_Music_Sharing⠀⇛ TIYA is a subsidiary of LIZHI INC., which has created an audio-based social ecosystem like Clubhouse. The Spotify update enables TIYA users to listen to music or podcasts together in a room by sharing Spotify features between mobile devices in the app. o § Monopolies⠀➾ # ⚓ Counter Punch ☛ The_Invisible_Power_vs._The_Invisible Hand⠀⇛ Herein lies the real promise of wealth: that capitalism will make everything so cheap that material goods approach the cost of zero. Forbes describes this situation as “bad news.” The magazine of “affluent lifestyles,” Forbes argues, “If it costs less to produce goods, companies can make more of them for the same price. This can result in more supply than demand and lower prices.” Sounds like a disaster, doesn’t it? The only thing stopping capitalism from reaching this goal is capitalism. Successful corporations have taken over the mechanism of the state to gain unfair competitive advantage, which they use to suppress or eliminate competitors, including competition from their own employees and contractors for an equitable share of the revenue. # ⚓ Common Dreams ☛ House_Dems_Say_Amazon_‘Obstructing’_Probe of_Warehouse_Collapse_That_Killed_Six⠀⇛ A trio of Democrats from the U.S. House Committee on Oversight and Reform on Thursday accused Amazon of “obstructing” its investigation into the December 2021 collapse of a warehouse in Illinois that killed six employees. “The committee’s investigation is of crucial importance to the American people.” # § Copyrights⠀➾ # ⚓ Deutsche Welle ☛ Germany:_YouTube_could_be_sued_for failing_to_tackle_illegal_uploads,_court_rules⠀⇛ While the BGH largely ruled in Peterson’s favor, it didn’t make a final decision on whether YouTube was liable. The matter will return to the Higher Regional Courts of Hamburg and Munich for re-examination considering the guidelines now provided. # ⚓ Creative Commons ☛ Episode_35:_Open_Culture_VOICES_– Josée_Plamondon⠀⇛ Welcome to episode 35 of Open Culture VOICES! VOICES is a vlog series of short interviews with open GLAM (galleries, libraries, archives, and museums) experts from around the world. The Open Culture Program at Creative Commons aims to promote better sharing of cultural heritage in GLAMs collections. With Open Culture VOICES, we’re thrilled to bring you various perspectives from dozens of experts speaking in many different languages on what it’s like to open up heritage content online. In this episode, we hear from librarian and digital information consultant, Josée Plamondon, from Québec, Canada. As a digital information consultant, Josée conducts diagnoses and proposes methods to improve the organization of information for digital environments, such as search engines, relational databases and semantic web. # ⚓ Torrent Freak ☛ YouTube_and_Uploaded_Could_be_Liable For_Pirating_Users,_Court_Rules⠀⇛ Platforms such as YouTube and Uploaded could be directly liable for the copyright- infringing uploads of their users. The German Federal Court of Justice came to this conclusion based on advice from the EU’s top court. Several liability lawsuits will now besent back to the lower court to decide whether damages are indeed warranted. # ⚓ Torrent Freak ☛ Shueisha_&_VIZ_Media_Target_Massive Manga_Piracy_Site_‘Manganato’⠀⇛ Manga publishing giants Shueisha & VIZ Media are preparing legal action against two large manga piracy platforms. The primary target is Manganato.com, a massive site pulling in 167 million visits per month, more than The Pirate Bay and Fmovies combined. The second target, Manganelo.com, is a comparatively smaller player with ‘just’ 24 million visits per month. # ⚓ Techdirt ☛ Nintendo_Does_Another_DMCA_Blitz_On YouTube_Video_Game_Music_Not_Available_Elsewhere⠀⇛ Earlier this year, we discussed Nintendo — dubbed by me as “the Disney of video gaming” — having gone on a DMCA blitz on YouTube videos that are essentially just new and classic video game music. This has been something Nintendo has ramped up over the years, taking down 100 videos in 2019, more than that in 2020, and then over 1,300 in 2022. That last one mostly targeted a single YouTube account, that of GilvaSunner, who later shut down his account due to all this nonsense. ╘══════════════════════════════════════════════════════════════════════════════╛ ¶ Lines in total: 7523 ➮ Generation completed at 02:48, i.e. 203 seconds to (re)generate ⟲