𝕿𝖊𝖈𝖍𝖗𝖎𝖌𝖍𝖙𝖘 Bulletin for Thursday, July 21, 2022 ┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅ Generated Fri 22 Jul 02:39:43 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/2022/07/21/ ╒═══════════════════ 𝐑𝐄𝐂𝐄𝐍𝐓 𝐁𝐔𝐋𝐋𝐄𝐓𝐈𝐍𝐒 ════════════════════════════════════╕ Previous bulletins in IPFS (past 21 days, in chronological order): QmcVu8iJ8yJqBwWTWX3TYY3ChamvbJm15Ne1VJxfTjdLY6 QmSDCize8znng3qFHzA4NgsDaeV7fzdXZrj1CKRp5JBbgK QmW2xppCHSDJtWfjB5RvaKrsEtS7w97YEMS3ePee6oW9Mp QmSGhRVAV44sV2y4ZAiDWo9kvmhjvgBBfpAKFP6AdRx6Pc Qmf7RX5zTm8khR5YEXJ6a48wsPiHG9zDm63S7nvMHXK1PE QmZQcpV8gJiG7uwAzM2U75TrNyBfZY4RZNaGfhLLDxdSqB QmajcAdRfWtgWFRoBM7yDJL3X8EJ5w8Wxf6CNnraP2EQo6 QmateHRg7s96CyDx4BcnezZSfn66P9YWrKiMv5VvFfNyEU QmehYSPymw58ozer2trPYvEomCKmEguPNgE3qdCbXcmNW9 QmP3Nw5usXTHPhcMx8yZ9TYsWzwSKRw9BNnbjhkoJ88gpe QmNt7g1pzLJJDE5MHZ21wEEuyos1W3DFP2LTSjB2FLPJPi QmXniW6uykwhxPzQFCih3ywbRTbNtozdD9MTkKJWNUUis7 Qmba4Ap4JVU96TSWT1jJZfQAasTyweA1EFu92C6ULqfYVF QmQDNYLCxwvKJsAAbaMfkydsH6iMivVs54xVt3e1WhRa4V QmZrgDSeEPr5Tk1kd6ixcTH5gK8gVF6UWZ8USDWkwExtL2 QmdVCZ22xUbZkpsSDmSDMrnFTMypCGWw1f2punvumLq2NJ QmXJTu6CfqTRzBWfbZAfQFS2Je8PJA65YsoWMZp6Z3WV8Z QmXptQogxzP3vUxmf2ttL7Vyb5aAwUT9Ux3nmXxPkuNRNp QmYTKahqtmH46iM3ZthdPvDKojc39tpTCiyk2GGs8Y29DU QmRRSvTcmYGSSCvpvxz5PTAHRT4fdRHip9uhxwcQXMWp9G QmQpoFyQcBb3KsKSZ3VzsMZsMmgcTqXq1zThATBh2bp3Yp ╒═══════════════════ 𝐈𝐍𝐃𝐄𝐗 ═══════════════════════════════════════════════════╕ ⦿ Right Now in Phoronix... All About AMD (Sponsor) | Techrights ⦿ Inside the Minds of Microsoft’s Media Operatives — Part II — Justifying a Career as a Microsoft Mouthpiece That Destroys Lives of People With Actual Facts | Techrights ⦿ Conspiracy of Silence: The Corporate Media Does Not Speak About Microsoft’s Chief Architect of GitHub Copilot | Techrights ⦿ Dell Wants Free Marketing of Its GNU/Linux (Preloaded) Laptops, But It Should Help With Advertising, Including in the Front Page of Its Web Site | Techrights ⦿ [Teaser] EPO President ’F’ Delivers Instructions to Georg Weber | Techrights ⦿ Git and Gemini: the Core of the New Sites (With Our Own CMS Running on Alpine) | Techrights ⦿ IRC Proceedings: Wednesday, July 20, 2022 | Techrights ⦿ The EPO Bubble — Part X — A Leaked E-mail Provides Some Clues... | Techrights ⦿ Links 21/07/2022: LibreOffice 7.3.5, Microsoft Teams Goes Offline Again, Dell Has Many Puff Pieces | Techrights ⦿ [Meme] “So I Wrote an Algorithm” | Techrights ⦿ What the Latest EPO Leaks Teach Us About the Management’s Plans for Software Patents in Europe | Techrights ䷼ Bulletin articles (as HTML) to comment on (requires login): http://techrights.org/2022/07/21/amd-blog/#comments http://techrights.org/2022/07/21/careers-as-microsoft-mouthpieces/#comments http://techrights.org/2022/07/21/conspiracy-of-silence-for-microsoft/#comments http://techrights.org/2022/07/21/dell-embargoes/#comments http://techrights.org/2022/07/21/georg-weber-joke/#comments http://techrights.org/2022/07/21/git-and-gemini/#comments http://techrights.org/2022/07/21/irc-log-200722/#comments http://techrights.org/2022/07/21/leaked-email-epo-swpats/#comments http://techrights.org/2022/07/21/libreoffice-7-3-5/#comments http://techrights.org/2022/07/21/removing-freedom-algorithm/#comments http://techrights.org/2022/07/21/video-swpats-epo-leaks/#comments ䷞ Followed by Daily Links (assorted news picks curated and categorised): http://techrights.org/2022/07/21/links-21072022-more-gnulinux-laptops-and-more-typical-fud-against-linux/#comments ䷩ 𝚕𝚒𝚗𝚎 77 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at http://techrights.org/2022/07/21/amd-blog/#comments Gemini version at gemini://gemini.techrights.org/2022/07/21/amd-blog/ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 07.21.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ Right_Now_in_Phoronix…_All_About_AMD_(Sponsor)⠀✐ Posted in Hardware, Marketing at 11:13 am by Dr. Roy Schestowitz Current screenshot of the top of the front page. This has become quite routine. 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇amd-phoroix-today⦈_One can be tempted to believe the company doing the most work on Linux is AMD Summary: Phoronix keeps_cherry-picking_commits_from_AMD and advertising jobs at AMD [1, 2] after bagging_a_lot_of_gifts ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡿⡛⣿⣿⣿⡿⣿⣿⣿⡿⣿⣿⣿⣿⣿⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠻⣿⣯⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿ ⣿⡄⠀⢸⣿⣿⣜⣿⣿⣿⣟⣼⣿⣿⣟⣭⣿⣿⣼⣧⣥⣤⣼⣷⣵⣿⣧⣈⡀⣹⣿⣇⣦⣒⣀⣀⣢⣱⣈⣤⣠⣤⣃⣀⣠⣂⣆⣄⣀⣀⣃⣒⣥⣀⣹⣠⣂⣠⣘⣀⣰⣗⣅⣐⣅⡕⣅⣥⣵⣀⣀⣴⣅⣿⣿⣿⣿⣑ ⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠓⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⢰⣆⣀⣀⣀⠀⠀⣀⣀⣀⡀⠀⢀⣀⠀⣀⣀⣀⡀⠀⢀⣀⣀⣀⠀⢐⠀⡀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⢹⢸⡇⠀⠀⠀⡇⣾⠀⠀⠀⢸⢸⡇⠀⣾⠀⠀⠀⢸⡄⡇⠀⠀⠀⡇⢸⠀⠈⣲⢴⡊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡗⠒⠒⠒⠋⠘⠃⠀⠀⠀⠃⠈⠒⠒⠒⠊⠘⠃⠀⠈⠒⠒⠒⠊⠀⠃⠀⠀⠀⠃⠘⠀⠊⠀⠀⠉⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣀⣀⠀⠀⠀⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⣶⠀⠀ ⠀⠀⢐⣒⣒⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀ ⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡆ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⢿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⢿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⢸⣿⢒⡂⡇⢴⠁⣂⣩⣒⢲⢰⣿⣿⢸⣿⢸⢠⡆⡇⢸⠇⡦⠡⣾⣿⢨⣭⢸⢒⡊⡇⣴⠡⡦⢰⠉⡜⢸⢒⡂⡇⣴⡃⣂⣹⣿⢈⡁⢿⢐⣊⡆⠏⣼⢸⢐⣂⡇⢇⠉⣬⣐⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣶⣶⣶⣶⣷⣶⣷⣶⣶⣶⣾⣶⣿⣿⣶⣶⣾⣾⣷⣿⣶⣶⣶⣷⣾⣿⣾⣿⣾⣶⣶⣷⣿⣷⣶⣾⣶⣷⣿⣶⣶⣷⣿⣷⣶⣾⣿⣾⣿⣾⣶⣶⣿⣶⣿⣾⣶⣶⣿⣾⣶⣷⣶⣾⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⢡⣤⢹⠛⡛⡿⢛⠻⠛⡛⣿⣿⡁⠤⣿⢛⠻⠛⣿⢻⢛⡛⣛⡻⢛⠻⣿⡇⡘⡇⡿⣛⢻⢻⠛⡟⡟⣛⣿⣿⠁⢬⢿⣿⡇⠤⢹⢟⡛⡟⢛⢻⠟⣛⡇⣛⢻⢛⡛⣛⢻⣛⠻⡟⣛⠈⢟⡟⣛⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣌⣋⣼⢈⣃⣧⣐⣲⣀⣇⣷⣶⣙⣃⣴⣘⣡⣆⣋⣸⣸⣧⣛⣣⣐⣒⣿⣇⣷⣀⣧⣐⣺⣆⣤⣰⣗⣂⣿⣿⣘⣂⣸⣿⣇⣛⣸⣄⣒⣇⣿⣸⣌⣛⣇⣿⣸⣸⣇⣿⣸⣐⣀⣇⣿⣀⣌⣓⣂⣽⣿⣿⣿⣿⣿⡇ ⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣿⣿⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⡏⠉⢉⠀⠈⢹⣿⢿⡿⣿⢿⠿⢿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⠿⠿⠿⣿⠿⢿⣿⠿⢿⠿⡿⠿⡿⠿⡿⣿⣿⡿⢿⠿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⡇⠈⡿⠀⠀⢸⡏⣂⠇⣌⢸⠸⢇⣿⠀⠀⡎⣹⠢⠆⠦⡇⡎⣿⡟⣼⣿⢨⡄⣅⢃⠿⢺⣿⠸⢹⠬⡲⠏⣇⠇⡇⠟⣿⣷⣾⣭⢺⠰⠅⣦⡆⡇⠆⡇⡖⠄⡇⡎⡱⢰⠰⣷⣿⡇⠿⢸⢰⢸⠿⠰⡁⣿⣿⣿⣿⡇ ⣿⣷⣶⣶⠀⠰⠾⠿⠿⠿⠿⠿⠿⠿⠿⠀⠀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⠩⠹⠂⠄⡀⡄⣀⢀⢠⢀⢀⢠⠀⡄⣰⢟⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣬⣶⣬⣧⣷⣷⣽⣼⣼⣼⣼⣴⣥⣧⣿⣶⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⢻⡟⠟⠿⢿⠿⠿⣿⠿⠿⠿⢿⣿⡟⠻⠿⢿⢿⠿⠿⠿⠿⠿⠿⣿⣿⠛⣿⢛⡿⠿⠿⡿⠿⡿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣵⣷⣷⣶⣮⣶⣧⣿⣶⣮⣶⣾⣷⣷⣿⣷⣵⣽⣴⣵⣵⣮⣾⣵⣷⣿⣵⣿⣮⣮⣶⣾⣾⣾⣦⣷⣶⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣏⠛⡟⢻⡏⡛⠛⢟⠛⡟⢛⢻⡏⡛⢛⢻⠙⡟⠻⡛⣿⢙⠙⡟⢻⡟⠹⠙⡉⢩⢹⡏⢹⠻⡛⡛⠛⢛⣿⡍⣽⡏⣉⡉⢫⡍⣿⡉⢏⢹⡉⢩⠉⡏⣿⣉⠉⠙⠛⢛⡛⣟⠛⡛⠛⢛⠟⣛⢹⣹⣿⣿⣿⣿⣿⡇ ⣿⣿⣿⣷⣷⣾⣷⣾⣶⣧⣼⣶⣾⣾⣷⣷⣶⣾⣾⣷⣿⣤⣿⣶⣶⣷⣾⣷⣷⣾⣷⣶⣾⣷⣷⣵⣷⣶⣶⣾⣿⣷⣿⣷⣿⣷⣷⣾⣿⣶⣷⣶⣶⣷⣿⣶⣿⣿⣾⣾⣶⣾⣷⣷⣶⣷⣶⣾⣷⣾⣾⣿⣿⣿⣿⣿⣿⡇ ⣿⡯⠐⠩⠉⠶⣿⠏⣏⢹⠅⠉⠉⣽⡿⠇⢩⠉⠏⠍⣿⠉⠋⡝⠉⣿⢨⠉⠙⠉⡏⢹⡏⠉⠍⢩⠉⡋⢹⡏⢹⣍⠉⢸⡏⣭⠁⢩⠙⠉⢩⡙⣽⠨⠉⢙⢩⠋⠅⡍⢩⡍⡏⠉⡅⠩⠉⣿⠍⣥⣯⠅⡍⠨⠉⣿⣿⡇ ⣿⡿⠿⣿⣿⣿⣿⠿⣿⣿⣿⣿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣷⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⢿⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣟⣑⣅⣀⣆⣿⣁⣯⣨⣿⣐⣰⣀⣗⣸⣇⣸⢀⣿⣀⡅⢘⣀⣸⣀⣇⣂⣺⣀⣹⣎⣄⣸⣰⣀⣈⣐⢁⣿⣀⣆⣿⣀⣎⣐⣀⣸⣇⣈⣰⣁⣺⣏⣌⣠⣄⣘⣪⣇⣎⣐⣁⣂⣈⣂⣑⣀⣊⣀⣇⣺⣑⣀⣆⣿⣿⡇ ⣿⣿⢿⡿⡿⢿⠿⣿⣿⢿⢿⢿⠿⠿⣿⢻⢿⡿⠟⢿⠿⣿⠟⡿⠿⠿⢿⡿⡿⢻⡿⡿⠿⡿⡿⡿⠿⢿⣿⡿⡿⠿⠿⡿⢿⠿⡿⣿⢿⠿⡿⡟⡿⠻⢿⡿⣿⡿⡿⢿⠿⠻⣿⢿⣿⢿⡿⡿⢿⢿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣧⣵⣤⣿⣤⣯⣿⣴⣤⣲⣼⣴⣿⣴⣮⣧⣧⣧⣴⣿⣼⣤⣷⣥⣿⣼⣤⣿⣦⣦⣶⣵⣴⣦⣧⣼⣿⣵⣤⣧⣧⣼⣼⣴⣶⣽⣼⣤⣼⣤⣼⣤⣧⣀⣿⣵⣤⣿⣼⣼⣤⣶⣯⣤⣵⣤⣼⣵⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⠛⢿⢿⠿⠿⠿⢿⣟⢻⡟⠛⠛⡟⣛⣿⠛⠟⢻⠛⡟⣻⢻⢻⣿⡟⠿⠿⡿⠿⣿⠿⠿⠿⠿⠻⠿⠿⠿⠿⡿⠿⠿⠿⡿⢿⡿⡿⠿⢻⠿⠿⢿⡿⢿⡟⡿⠿⠿⠿⠿⠿⠿⢿⣛⣛⠿⢿⠿⡿⠟⠛⠿⡿⢻⣿⡇ ⣿⣿⣷⣇⣦⣼⣤⣾⣼⣯⣾⣧⣿⣴⣴⣥⣿⣮⣦⣽⣥⣦⣼⣬⣾⣧⣥⣼⣴⣥⣴⣿⣨⣦⣼⣼⣴⣵⣼⣼⣧⣮⣤⣧⣮⣧⣼⣧⣴⣤⣼⣧⣎⣼⣧⣼⣧⣵⣤⣼⣤⣵⣶⣮⣼⣿⣿⣧⣾⣷⣷⣤⣿⣤⣧⣼⣿⡇ ⣿⣿⠉⡏⣯⡉⣿⢩⠝⠛⢛⢫⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣷⣷⣷⣶⣶⣿⣶⣶⣶⣾⣶⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⢋⢿⠹⠋⡏⣍⢿⠀⠀⢟⡻⢛⡋⡻⢛⣿⢉⠏⡟⠻⢻⢻⢻⡏⣿⢹⢛⢻⣿⢛⠟⣿⡟⡹⡿⡟⢟⢻⢹⢛⢿⡏⣭⢻⢛⢹⢿⠻⠛⡟⣻⡟⣭⡽⡛⡟⡋⠟⠻⣿⠩⠽⡛⡟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣯⣶⣼⣴⣧⣧⣥⣿⠀⠀⣮⣵⣭⣦⣭⣥⣿⣼⣦⣧⣭⣧⣧⣿⣧⣭⣼⣼⣼⣬⣬⣦⣿⣵⣦⣧⣥⣮⣼⣼⣬⣾⣧⣭⣾⣼⣼⣦⣷⣭⣧⣿⣷⣭⣷⣥⣧⣥⣮⣽⣿⣼⣷⣥⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣀⣀⠀⢀⣀⣀⣀⡀⣀⣀⣰⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣨⢺⠤⡇⠖⡇⡆⡧⢈⡡⢼⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣏⢜⣇⣅⣉⡹⣉⡍⣿⣈⡩⣉⣹⣟⣟⣘⣈⣀⢎⣿⣻⣁⣃⣁⣰⣹⣱⣉⡉⢍⣈⡫⣋⢁⣿⣈⣹⡯⣀⡩⣿⣰⣉⣭⣫⡉⣩⣟⣿⢾⣿⢶⡩⣫⣉⣯⣉⡩⣯⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⢿⡿⡿⠿⢿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⣿⣿⣿⣿⣿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣏⣤⣣⣄⣜⣣⣷⣂⣢⣐⣄⣸⢡⣿⢐⣕⣐⣠⣘⣀⣔⣸⣇⣸⣀⣎⣠⣿⣂⣔⣠⣀⣰⣨⣇⣀⣪⣀⣇⣔⣂⣀⣇⣛⣀⣆⣘⣃⣸⣇⣂⣰⣠⣱⣀⣴⣿⣐⣔⣀⣂⣀⣽⣶⣐⣇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⠿⠿⠿⢿⠻⡟⠻⠿⠿⢿⠿⠻⠿⠿⣿⠿⢿⠿⠟⠻⠿⣿⠿⠿⣿⠿⠿⠿⠿⠿⡿⠿⢿⠿⠿⡿⢿⢟⠟⡿⣛⢛⠛⣿⠿⡿⠛⠟⢿⡟⠟⢿⠿⣿⢿⠿⠿⠿⡿⠿⠿⢿⠻⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣷⣤⣼⣤⣼⣬⣦⣤⣧⣈⣼⣯⣼⣤⣤⣧⣤⣬⣤⣥⣤⣥⣿⣭⣬⣶⣨⣤⣧⣥⣬⣦⣤⣬⣤⣬⣦⣿⣼⣶⣤⣭⣴⣏⣿⣦⣼⣤⣥⣿⣧⣥⣧⣤⣿⣬⣄⣵⣬⣮⣤⣧⣧⣤⣧⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⠝⡟⠛⡛⢙⠛⠻⠛⠏⡿⡛⢹⠛⣛⢋⠛⣟⢛⢛⣿⠻⠟⠙⡋⣻⡟⡋⡻⠛⢿⠩⢛⠟⡛⠟⠻⡛⣿⡍⣏⠙⡉⢯⢻⡟⠛⠻⢛⠙⠻⠛⣿⢛⢟⢛⠛⣻⠛⡟⡟⠻⡛⢛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣷⣶⣦⣶⣾⣶⣶⣶⣷⣧⣶⣾⣶⣷⣾⣶⣿⣾⣾⣿⣷⣾⣶⣶⣿⣷⣶⣷⣶⣾⣾⣾⣼⣶⣶⣾⣷⣿⣾⣷⣾⣶⣷⣾⣷⣶⣶⣾⣶⣶⣶⣿⣶⣿⣶⣶⣾⣶⣶⣶⣶⣶⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⠩⢻⢋⢿⢩⡻⢻⢏⡇⠀⣽⢟⢿⢟⠟⣿⠽⠿⡿⡿⡿⡻⢟⣿⡟⣫⢻⢟⠟⣿⢻⢹⢟⠿⡻⣿⡏⠝⡿⡻⣿⢿⢟⢹⢿⢿⡟⠭⡿⠿⢿⣿⡹⡟⢿⣿⢹⠹⣿⡻⡿⡻⣿⡟⡟⠻⡿⡿⣻⢹⢿⣿⣿⣿⣿⡇ ⣿⣿⣴⣬⣶⣼⣬⣵⣧⣾⡇⠀⣭⣬⣼⣼⣼⣽⣤⣧⣧⣥⣧⣤⣥⣼⣷⣭⣼⣤⣼⣽⣬⣼⣼⣤⣁⣿⣧⣧⣥⣤⣧⣤⣬⣼⣂⣿⣧⣿⣯⣵⣼⣿⣧⣼⣮⣽⣼⣤⣥⣤⣧⣧⣿⣿⣾⣴⣤⣧⣤⣼⣼⣿⣿⣿⣿⡇ ⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⢀⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣷⠭⠃⡆⡗⠎⡱⠆⡑⢸⢰⣿⠬⢹⠸⢸⠰⡁⠦⡏⠎⡇⡆⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣟⢝⡏⡋⠉⡻⠉⠍⣿⣉⡫⠉⢹⣟⡏⣋⡋⠋⠉⢹⣟⡏⡫⢉⠯⢭⢋⣿⣉⠉⠉⠉⣽⡯⢛⡝⠉⡫⠉⠉⡍⢹⣻⡿⣹⡫⠟⢝⡍⡝⡍⢙⢙⡍⠩⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⢿⣿⣿⣿⢿⣿⣿⣿⢿⣿⢿⣿⣿⠿⢿⢿⡿⢿⢿⢿⡿⣿⣿⣿⡿⡿⣿⣿⣿⣿⣿⠿⡿⢿⡿⢿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣬⣈⣀⣰⠐⣇⣨⣂⣿⢌⣇⣈⣐⣐⣀⣱⣐⣀⣈⢌⣾⣸⣆⣐⣐⣹⣨⣘⣤⣃⣃⣌⣼⣆⣐⣀⣾⣠⣄⣁⣀⣘⣀⣿⣃⣏⣸⣟⣸⣿⣃⣸⣹⣄⣆⢐⣀⣁⣀⣦⣨⣀⣰⣀⣂⣰⡀⢂⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⡿⠿⢿⠿⢻⠿⡿⠿⡿⢿⠿⠻⣿⡿⡟⢿⠿⡿⢻⠿⠿⣿⠟⠿⠿⡿⢿⢿⠿⣿⢿⠿⠿⢿⢿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣥⣤⣤⣤⣥⣿⣼⣤⣶⣬⣼⣼⣤⣥⣿⣤⣬⣤⣤⣼⣿⣥⣼⣤⣤⣤⣿⣤⣮⣄⣤⣨⣤⣥⣼⣼⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣯⣯⣿⣽⣽⣽⣽⣽⣽⣽⣯⣯⣯⣯⣯⣯⣿⣽⣽⣽⣽⣽⣽⣽⣯⣯⣯⣯⣯⣯⣿⣽⣽⣽⣽⣽⣽⣽⣯⣯⣯⣯⣯⣯⣯⣿⣽⣽⣽⣽⣽⣽⣯⣯⣯⣯⣯⣯⣯⣿⣽⣽⣽⣽⣽⣽⣯⣯⣯⣯⣯⣯⣯⣿⣽⣿⡇ ䷩ 𝚕𝚒𝚗𝚎 179 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at http://techrights.org/2022/07/21/careers-as-microsoft-mouthpieces/#comments Gemini version at gemini://gemini.techrights.org/2022/07/21/careers-as-microsoft-mouthpieces/ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 07.21.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ Inside_the_Minds_of_Microsoft’s_Media_Operatives_—_Part_II_—_Justifying_a Career_as_a_Microsoft_Mouthpiece_That_Destroys_Lives_of_People_With_Actual Facts⠀✐ Posted in Deception, Microsoft at 2:13 pm by Dr. Roy Schestowitz Series parts: 1. Inside_the_Minds_of_Microsoft’s_Media_Operatives_—_Part_I_—_Bishops_in Rooks 2. YOU ARE HERE ☞ Justifying a Career as a Microsoft Mouthpiece That Destroys Lives of People With Actual Facts 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Peter Bright⦈ Summary: Moral dissent or conscientious leanings aren’t tolerated by Microsoft and its media operatives; diligent adherence to or insistence on facts are seen as an act of heresy and punished severely A couple of decades ago I started to more properly understand how Microsoft had controlled the media. I started writing more and more about it. It was a combination of blackmail and bribes, mostly the latter. The bribes aren’t as crude as one might expect (“here’s $1000! Write nice things about us!”), and herein lies the ‘art’ of bribery, e.g. advertising contracts or “consulting” [PDF] (“consultants” and “analysts” are just glorified marketing people in Microsoft’s eyes; often cited as experts by “the media”), invitation to events (flight tickets, hotel stays, “exclusives”), “gifts” for supposed (shallow and flattering) “reviews”, job for a spouse (or for oneself later on [1, 2]), business “partnerships” and so on… Maybe later in the series we’ll expand on this. We already have examples accumulated and listed in our wiki pages, e.g. [1, 2]. But that’s not the point, not today anyway… This series concerns a Microsoft whistleblower who confronted Microsoft’s media operatives, having witnessed journalistic misconduct and outright lies. While names are left out, people can connect_the_dots and de-anonymise a bit. It is not a huge deal, but nevertheless the key point is, we want to get the information out there… As we noted in the first part, a Microsoft whistleblower was “burned” by a so- called ‘publisher’ that’s in Microsoft’s bag/pockets. In response, he recently explained to the person who had burned him/her: “Mistakes, oversights, and coincidences are a thing. Correlation doesn’t always equal causation. And omission doesn’t always equal bad intentions. And not all trends allude to anything substantial. But coincidences can become suspicions when they’re seemingly of great benefit to the preeminent monopoly of the Information Age and a reporter with questionable ethics while being a severe detriment to one of Microsoft’s only internal sources of dissent.” We’ve long spoken to and worked with dissenters inside Microsoft. Weeks ago, for instance, we said that Microsoft had stopped hiring. The media didn’t mention it until this week! Anyway, back to the whistleblower. He/she wrote: “Suspicions can also evolve into concerns when greenhorn reporters do things like quote me out of context without contacting me prior or reaching out for further comment. Dox me in a manner that oddly meets the minimum criteria to violate Microsoft’s media policy while minimizing Microsoft’s exposure. Not to mention ignoring me for years after various attempts at clarification; both at Geekwire and Monica.” “And concerns of bias and conflict tend to warrant further consideration upon realizing that the same greenhorn reporter got a rare, hour_long_town_hall interview_with_Brad_Smith/one of the primary benefactors of my removal from Microsoft, that most veterans would kill for.” “That said, I’m sure you’d agree with me when I say that journalists have a duty to take extra care of whistleblowers, many of whom are working double- duty, on a tight-rope, and against all odds which journalists of all people should be able to empathize with. I’m also sure that you’d agree with me when I say that immediate dismissals like mine are the logical consequence of reckless-malicious coverage of this sort. I’m quite certain that you didn’t need me to write_a_rebuttal to your article about Kathleen Hogan, HR, and growth mindset either in order for you to see the plausibility in any of this. I’m also pretty sure that you can do math and realize and don’t need me to explain to you that this cost me millions in costing me my tech career. And I don’t think that you need me of all people to lecture you or point out the obvious problems in that article.” “Ultimately, what’s done is done. It was what it was. And is what it is. Since then, I’ve used my free time to improve on my writing and develop an organic albeit niche following by way of writing about Microsoft from the perspective of an internal employee during smoke breaks and/or happy hour. In fact, most of what I write about stems from internal conversations/vent sessions that I’ve had with friends/peers while working there; many of these conversations persist to this day.” This is how the person who burned the whistleblower attempted to defend himself or deflect from himself, by living in a state of denial, still lying about his supposed, so-called ‘objectivity’: “My work is out there for anyone to read and assess from 20 years of reporting on Microsoft. I do my best to be factual, fair, and skeptical. No doubt I’ve fallen short at times. Likewise, I don’t see a lot of value in trying to change anyone’s opinion of my reporting. I just hope that any conclusion is based on an adequate sample size.” He speaks of “20 years of reporting on Microsoft”; I’ve seen those 20 years of his in three sites (I’ve watched Microsoft news/noise closely for decades) and it was almost always just jingoism, intentional misinformation (disinformation/ lying), coverup and marketing (even bagging Microsoft money, such as sponsorships for the “news” site [1, 2]). It’s like another Microsoft Peter, sans the arrest for pedophilia [1, 2]. That’s Peter Bright, pictured above. He planted “stories” for Microsoft for nearly a decade while sexually abusing little children. Even his colleagues knew; did Microsoft miss it? The whistleblower responded: “My work at Microsoft has been out in the wild for 12 or so years after helping architect and build Office 365; none of which would be possible for a high school dropout like me unless I was objective, shrewd, and as good as they come with statistics. I’ve also been studying media bias since this experience and have a few observations about it broadly speaking.” “It’s like another Microsoft Peter, sans the arrest for pedophilia.”“For example, it’s quite obvious that dissent and the ad revenue model are incompatible; propaganda pays while dissent will get you anywhere from fired to sued. And to no surprise, I can’t seem to find a lot of articles from ad rev outlets such as Geekwire that publishes indictments of Microsoft with anywhere near the consistency or veracity of their Microsoft fluff articles. Bias of this sort is often only obvious via statistical analyses and benefits Microsoft and other heavyweights in two ways: 1. by creating a never-ending news cycle that naturally buries scathing articles with neutral-fluffy articles and 2. by disproportionately amplifying a positive image that distracts from negative impacts while allowing them to worsen these positions; ultimately enabling them to do bad while appearing good; I’m sure there are other ancillary benefits though.” “Another odd bias can be found in the double-standard given to current employees vs. ex employees. For example, you probably receive and publish tons of positive press about Microsoft, its employees, and partners all the time without credibility issues. No one questions their credibility despite them being monetarily incentivized to tow the company line while running the risk being culled if they don’t or at least keep their mouths shut when they go “Ra ra Microsoft”. Yet, when I publish articles or offer an opinion about Microsoft on matters completely unrelated to my firing and well within the realm of my extensive expertise, which begins and ends with Microsoft mind you, it’s often filed under the opinions of a disgruntled/bias ex-employee by default. And I have an uphill battle to offset this stigma despite my sentiment remaining the same during my employment and post-employment and my arguments rarely involving my experience with HR. Lots of whistleblowers have actually noticed and experienced this.” “When combining the two, extreme bias to the point of being a proxy for corporate PR isn’t much of a leap so much as it is the expectation. And it becomes even more compelling when you start factoring in profit/career motives, a complete lack of oversight, and seemingly non-existent protocols to actively prevent, identify, and remove conflicts from outlets. And I have yet to meet a legitimate journalist that would die on a hill in opposition of this sentiment. Most admit that they have to make ethical concessions for a paycheck just like the rest of us.” “They’re like moles inside publishers or simply publishers that operate like Microsoft propaganda mills.”“Every outlet maintains that they have integrity and operate without bias. None seem to believe this enough to turn an eDiscovery expert like me lose and tell me to me to prove them wrong though. None seem to want to show me protocols that they follow, instances of bias they’ve identified and addressed, or people that they’ve removed due observed bias and conflicts. In fact, the conversation about bias integrity seems to get real uncomfortable real quick for most reporters in ad revenue outlets and this is especially true whenever it isn’t presumed to exist by default; you just don’t make friends with journalists very often by questioning the biases and integrity that they’re quick to stand behind.” That should be enough for today, but there will be plenty more. We should certainly add that this pattern of Microsoft “interferences” disguised as journalism aren’t limited to one or few people; there are many dozens of people who do this 24/7, not just in English. They’re like moles inside publishers or simply publishers that operate like Microsoft propaganda mills. It’s not journalism, it’s not reporting, it’s just marketing or Public Relations, to put it politely… Therein lies their business model. █ ⠃⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡿⠛⠉⠁⠉⠉⠉⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⣱⣷⣦⣶⣾⣮⣤⣤⣀⡀⠉⠿⠀⠀⠀⣻⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣾⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠈⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠙⠒⠀⠒⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⡿⣿⠿⣿⢿⠿⡿⣿⢟⢿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣮⣜⣁⣁⣋⣧⣸⣂⣯⣼⣿⣼⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣛⡛⢻⣿⣿⣿⡿⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⣿⣿⡿⠟⠈⣉⢻⡋⠀⠀⠲⠖⠀⠀⠀⠀⠐⠒⠂⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣷⢺⣿⣷⣧⣤⣤⡏⣸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣟⣛⣻⣵⣿⣿⣧⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⢿⡿⠛⠀⠀⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡿⠛⠋⠈⠁⠀⠀⠀⠈⠻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢿⠟⡕⣠⣭⣭⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⣿⣿⡯⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠙⢿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 409 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at http://techrights.org/2022/07/21/conspiracy-of-silence-for-microsoft/#comments Gemini version at gemini://gemini.techrights.org/2022/07/21/conspiracy-of-silence-for-microsoft/ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 07.21.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ Conspiracy_of_Silence:_The_Corporate_Media_Does_Not_Speak_About_Microsoft’s Chief_Architect_of_GitHub_Copilot⠀✐ Posted in Deception, Microsoft at 12:19 am by Dr. Roy Schestowitz Recent: The_Person_Behind_Microsoft’s_GitHub/Copilot_Does_Not_Want_You_to_Know About_$25,000_for_Suffocating_Asian_Woman_(Almost_to_Death),_Repeatedly_in Fact,_and_There_Are_Prior_Victims_Too 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Balabhadra_(Alex)_Graveley:_Affidavit_and_Application_for Arrest_page_1⦈_ 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇microsoft-strangler⦈_ Summary: Later in our series (“Microsoft GitHub Exposé”) we’ll show how the mainstream or so-called ‘tech’ media helped Microsoft cover up big scandals; just look how_the_media_and_MIT_dealt_with_the_Bill_Gates-Jeffrey_Epstein scandals… they only pretend to care about women By Thomas_Lord, who died very recently: 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Sure,_let's_talk_about_Bushnell,_@migueldeicaza.__For context,_let's_begin_here:_a_variety_of_powerful_people_at_MIT_-_none_of_them RMS_-_knowingly_and_enthusiastically_sold_out_the_institution_to_a_millionaire pedophile_and_eugenicist,_and_attempted_to_cover_it_up.⦈_ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣄⣔⣄⣂⣄⣆⣤⣀⣀⣀⣀⣀⣇⣠⣀⣀⣂⣀⣠⣀⣀⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡟⡛⠛⢻⠛⠻⢛⠛⢻⠛⠛⡟⡛⡛⡛⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⠛⠛⠛⠟⠻⡟⠻⠟⠛⠛⢿⠛⠛⠛⢿⠻⠻⠻⠛⠟⠛⠿⠟⡿⣿⠋⡅⢬⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣾⣶⣶⣶⣾⣶⣶⣷⣷⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣶⣾⣶⣶⣶⣶⣶⣶⣶⣶⣾⣶⣾⣾⣾⣶⣶⣶⠒⠒⠒⠓⠒⠒⢠⡐⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣏⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⠔⣸⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⣁⣁⣁⣀⣈⣀⣀⣘⣜⣄⣀⣠⣁⣄⣀⣁⣀⣾⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣀⣀⣀⣆⣀⣇⣠⣂⣄⣀⣂⣠⣉⣘⣅⣀⣀⣀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡙⠿⢣⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⢛⠛⠛⠟⡛⡛⢛⡟⠛⠛⢻⠛⠛⠛⠟⢛⠟⡛⠛⠛⠛⠛⠛⠛⡿⠛⠛⠛⠛⠛⣛⠛⡟⠛⠛⠛⠟⠋⠙⢛⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡶⠖⠢⠐⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣯⣉⣉⣏⣉⣉⣉⣉⢉⣉⣉⣋⣉⣉⣉⣙⣉⣉⣹⣉⣉⣹⣉⣉⡉⣏⣉⠉⣏⣉⣙⣉⣍⢉⣉⣋⣏⣋⣏⣉⣉⢏⣙⣉⣙⣋⢙⠉⠀⢉⢀⣉⡙⢛⣋⢉⢉⣉⡋⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣷⣂⣉⣉⣹⣍⣉⣉⣹⣉⣅⣉⣀⣉⣉⡉⠉⠈⠈⠇⠉⠈⠉⠉⠁⠉⠹⠀⠉⣁⣁⣉⣈⣙⣀⣉⣉⣁⡩⣹⣇⣈⣀⣈⡇⠁⠀⢀⣀⣀⣁⣏⣈⣈⣈⣉⣉⣉⣉⣁⣉⣉⣻⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣯⣤⣥⣴⣤⣤⣤⣤⣄⣥⣤⣥⣤⣤⣸⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣋⣤⣁⣀⣙⣆⣀⣀⣸⣦⣠⣤⣅⡅⢈⢉⣀⣴⣀⣭⣍⣀⣈⣉⣩⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⠿⡿⠿⣿⣿⣿⣿⡿⣿⠿⣿⣿⣿⠿⢿⡿⡿⢿⣿⣿⣿⣿⠿⡿⠟⠠⣀⢲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣤⣤⣤⣴⣤⣄⣠⣤⣤⣤⣤⣤⣼⣬⣤⣤⣧⣥⣄⣠⣤⣼⠰⡄⠠⢠⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣟⠝⢻⠉⠉⠉⠫⠉⠉⢹⠛⠟⠛⠛⠛⠛⠛⠛⠋⢻⢹⠙⠉⠙⠛⡟⠋⠙⠛⠛⠛⠛⠛⠛⠋⠛⠟⢛⠛⠉⠑⠀⠀⠛⠛⠛⡟⠋⢹⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣋⣁⣉⣍⣁⣈⣉⣀⣏⣉⣈⣉⣹⣉⣉⣉⣉⣉⣁⣉⢩⣉⣉⣉⣉⣉⣉⣈⣉⣉⣉⣘⠁⣁⣌⣁⣈⣉⣃⣉⣉⣉⣈⣉⣇⡀⠀⠀⠀⠀⠀⠀⢐⣀⣈⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣧⠤⣬⣤⢤⣤⣤⠀⠀⠃⢠⣤⣤⣤⣥⣤⣤⣤⡤⡼⣄⠤⢤⣼⢤⣤⣥⣬⡤⣄⡦⣤⣤⡼⣤⢦⠋⡰⢠⣠⣤⣤⡣⣤⡤⢤⣤⠤⢥⣤⣤⣤⣤⣤⣥⣤⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣷⣵⣦⣦⣤⣤⣽⣤⣤⣤⣤⣦⣼⣤⣴⣤⣬⣤⣤⣧⣤⣤⣤⣤⣦⣤⣧⣤⣤⣥⣤⣤⣴⣤⡄⢠⡀⣠⣴⣤⣤⣤⣤⣧⣦⣤⣦⣤⣤⣤⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡏⠉⠉⠉⠙⠙⠛⠋⠙⠛⠛⡟⠛⢻⠋⠛⠛⠛⠛⠙⠛⠛⠙⠛⠛⠟⠛⠛⠛⠛⠛⠛⠛⠃⠈⠂⠙⠛⡟⠙⢛⠛⠛⠛⠙⠛⢻⠋⠛⠛⠋⠛⡟⠛⠛⡟⠛⠟⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡗⣀⣂⣀⣸⣏⣉⣉⣉⣉⣋⣉⡏⣉⣉⣙⠀⠀⠀⠀⢙⣉⣹⣉⣙⣉⣉⣏⡉⢹⠈⠉⠁⢀⡀⢹⠉⢉⡏⢙⣩⣉⢉⡋⢙⡉⠉⡎⣙⣉⡏⣙⢹⢉⡉⣉⣋⣙⡉⢹⠙⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣯⣉⣁⣉⣩⠁⡆⣉⡭⣁⡀⢃⢉⡁⣉⣉⣉⣈⣁⢁⣉⣙⢁⣉⣉⣁⣉⣩⢉⣉⠀⠀⠈⣸⡀⠀⠀⢈⣉⣁⣁⣉⣀⣈⣁⣁⣈⣉⡈⡩⣉⡉⣍⢉⠉⣉⡉⣉⣃⣉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣧⠤⠤⠜⠄⠤⠴⠤⢤⠠⠤⠧⠄⠧⢤⠤⠄⠤⠤⠤⠤⠄⠄⠄⠧⡤⠦⠤⠠⢽⠀⠀⢀⠤⠤⠼⠤⠤⠣⠤⠄⠤⠤⢤⠀⠀⠁⠠⠄⠇⠤⠃⠤⠤⢤⠄⠤⠤⠢⠤⠼⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡿⠒⠐⠖⠲⠂⠐⠒⠚⠒⠒⠒⠒⠂⠐⠒⠒⠒⠒⢒⠒⢒⠒⠒⠒⠳⠒⠂⠒⠀⠒⠚⠚⠒⠒⠐⠒⣶⣶⣶⣶⣶⣶⣾⣤⣤⣤⣴⣶⣶⣶⣶⣶⣶⣾⣶⣶⣶⣶⣾⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣷⣆⠙⠃⣼⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢉⣉⣉⣈⣈⡉⣉⣈⢉⣉⣉⣁⣉⣁⣉⣁⣉⣹⡈⣉⠉⠀⣁⢁⢉⣉⡈⣹⣈⡉⢅⣉⢉⣉⣋⣉⣉⣈⣉⡉⢉⣉⡩⠉⠁⢉⣇⠉⣈⡉⢉⣏⣉⡸⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡯⠤⠤⢤⠤⠤⠤⢄⠠⡤⢤⠤⠼⠤⡴⢤⠤⠤⢤⠄⠤⠤⠆⠠⠀⠤⠤⠬⠤⠤⠤⡤⠤⡤⠤⢼⠤⠄⠤⠤⠄⡤⢤⠤⠄⠨⠇⠀⠀⠰⢤⠤⠧⠤⠤⡤⠤⠤⠤⠤⣤⣄⣾⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡿⠶⠖⠾⠶⡖⠦⠘⠒⠶⠞⠒⠶⠲⠶⠖⠲⢶⡎⠀⠀⠀⠂⠤⠶⠶⠷⠲⠖⠲⠶⠲⠲⡗⢶⠲⠦⠦⡆⠶⠦⠷⠞⡶⠺⠶⠶⢶⠳⠲⠾⠶⠶⠶⢦⣷⣶⣷⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡗⠐⠒⠒⠒⠃⠒⢶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⠃⣦⡐⢦⣴⣶⣷⣶⣶⣶⣶⣶⣷⣶⣶⣷⣾⣶⣶⣶⣷⣶⣾⣶⣶⣷⣶⣾⣶⣾⣶⣶⣷⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡏⣾⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣾⣿⣿⣿⣿⣿⣷⢎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣷⣧⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠼⣶⠿⢿⢿⠿⡿⠿⠟⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⡛⢛⡉⣉⢉⡉⢉⡀⢈⣈⠀⣀⢀⠀⢀⣀⢀⣀⣀⠀⣀⢀⣀⢀⠀⣀⡀⢀⣀⠀⢀⡀⠀⣀⠀⢀⡀⢀⣀⣀⣈⡉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⡏⠘⣿⣿⣿⡇⣿⣿⢸⣿⡇⣿⣿⠀⢸⣿⡌⣿⠉⠈⣿⣾⣿⣿⣿⡏⠿⢸⣿⣷⣿⣿⠸⣿⡃⣿⣿⢸⣯⠙⣿⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠸⠧⠀⠿⠏⠿⠃⠿⠿⠸⠿⠇⠿⠿⠄⠾⠻⠇⠿⠄⠠⠿⠿⠿⠿⠟⠧⠟⠼⠿⠏⠿⠿⠸⠿⠇⠿⠿⠸⠇⠸⠿⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠚⠛⠉⢿⣿⣿⣿⣿⣇⠀⠀⠤⢴⣶⣦⣄⠰⡄ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣡⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣧⣶⣦⣼⣿⣿⣿⣷⣤ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢸⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣽⣇⣾⣿⣿⣿⣿⣿⢻⣿⡿⠿⣛⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⡞⣼⣿⣿⣿⣿⣿⣟⡞⠁⢀⣾⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⢱⣿⣿⣿⣿⣿⣿⠋⠀⣴⣿⣿⣿⣿⣿⣿ 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⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣷⣾⣥⢰⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⡼⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠐⠛⠿⠿⣼⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠁⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⡿⢽⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣤⣄⡀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠇⠡⠶⣶⣶⣷⣾⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠶⣾⣽⣻⢾⣮⣝⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⠛⢡⢠⣙⣓⣒⠒⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⠿⠟⢼⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠶⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠋⠉⠁⠀ ⢣⣾⢹⣷⢻⣺⣽⣾⡿⠡⢤⣭⣭⣽⣿⣿⣿⣿⣿⣿⠿⠟⠓⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⣿⠿⠛⠛⠉⠀⠀⠀⠈⠙⣻⣿⣿⣿⣿⣿⠟⢩⣾⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⡿⠿⣢⣴⣿⣿⣟⣿⠿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⣦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣐⡄⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⢈⡉⢉⡁⣀⢀⡀⢀⡀⢀⣀⠀⣀⢉⡉⢉⣁⢀⣀⣈⠉⣀⢀⣀⢀⠀⣀⡀⢀⣀⠀⢀⡀⠀⣀⠀⢀⡀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣏⣿⡄⢀⠘⢻⣶⣄⡀⠀⠀⠀⠀⠀⠈⠀⢸⡏⠈⣿⣿⣿⡧⣿⣿⢸⣿⡇⣿⣿⠀⢸⣿⡎⣿⠉⠀⣿⣾⣿⣿⣿⡏⠿⣿⣿⣷⣿⣿⠸⣿⡃⣿⣿⢸⣯⠙⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢿⣾⣿⣿⢿⠶⣿⡾⢿⣶⣄⠀⠀⠀⠀⠀⠸⠧⠀⠿⠟⠿⠃⠿⠿⠸⠿⠇⠿⠿⠄⠾⠻⠇⠿⠀⠠⠿⠿⠿⠿⠟⠧⠟⠿⠿⠏⠿⠿⠸⠿⠇⠿⠿⠸⠇⠸⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠿⣾⣿⣿⣿⣿⣿⣿⣆⠀⠦⠂⣄⠑⠏⣞⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⡿⣿⣿⣿⣿⣿⢟⣿⡿⢿⣿⠢⠀⠀⠈⠉⠙⠛⠿⠿⠦⡀⠀⠘⠗⢀⣌⠋⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⡇⣿⣿⣿⣿⠏⣘⠫⢾⣃⡙⠇⣤⣄⡲⣦⣤⣤⣶⣾⣿⠀⠢⠀⠀⢻⣜⣷⣌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢿⣿⡿⢋⠀⡻⢛⣻⣿⣿⣦⣘⣿⣿⣿⣿⣿⣿⣻⣧⣿⣷⣷⣄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠋⠀⠘⣿⠁⣾⢠⣆⣀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⣸⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤ ⠀⠀⣆⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿ ⠀⠀⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢻⡿⣿⣟⠿⠿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣷⣾⣥⢰⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⡼⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠛⠿⠟⣼⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠁⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣴⣤⡀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠅⠡⠶⣶⣶⣷⣾⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠿⠶⣾⣽⣻⢾⣮⣝⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⠛⢁⢠⣙⣓⣒⠒⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⡿⠿⠝⢼⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠶⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠋⠉⠁⠀ ⢣⣰⢹⣿⢻⣻⣵⣶⡷⠡⢬⣭⣭⣽⣿⣿⣿⣿⣿⣿⠿⠞⠓⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⡿⠿⠛⠛⠉⠀⠀⠀⠈⠛⣻⣿⣿⣿⣿⣿⠟⢩⣾⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⡿⠿⣢⣶⣿⣿⣟⣿⠿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⣦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣀⡄⡀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠕⢈⡉⢉⡁⣀⢀⡀⢀⡀⢀⣀⠀⣀⢉⡉⢉⣁⢀⣀⣈⠉⣀⢀⣀⢀⠀⣀⡀⢀⣀⠀⢀⡀⠀⣀⠀⢀⡀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣏⣿⣄⢄⠸⢻⣶⣄⡀⠀⠀⠀⠀⠀⠈⠀⢸⡏⠘⣿⣿⣿⡷⣿⣿⢸⣿⡇⣿⣿⠀⢸⣿⡎⣿⠉⠀⣿⣾⣿⣿⣿⡏⠿⣿⣿⣷⣿⣿⠸⣿⡃⣿⣿⢸⣯⠙⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⢿⣾⣿⣿⢿⠶⣿⡾⢿⣶⣄⠀⠀⠀⠀⠀⠸⠧⠀⠿⠟⠿⠃⠿⠿⠸⠿⠇⠿⠿⠄⠾⠻⠇⠿⠀⠠⠿⠿⠿⠿⠟⠧⠟⠿⠿⠏⠿⠿⠸⠿⠇⠿⠿⠸⠇⠸⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡟⠿⣿⣿⣿⣿⣿⣿⣷⣄⠐⠦⠢⣄⠑⠷⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⡿⣿⣿⣿⣿⣿⢻⣿⢎⢿⢟⠀⠀⠀⠈⠉⠛⠛⠿⠿⠦⠀⠀⠙⡗⢄⣌⠊⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠇⣿⣿⣿⣟⠃⣼⠫⢿⣃⡙⠆⣤⣔⡶⣦⣤⣤⣶⣾⡇⠀⢢⠀⠐⢳⣼⣷⡌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢿⣿⡿⢇⠀⡿⢛⣻⣿⣿⣤⣹⣿⣿⣿⣿⣿⣿⣻⣇⣿⣦⣶⣄⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠘⣿⠀⣿⢠⣆⣈⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⢸⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴ ⠀⠀⣦⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢻⡿⣿⣟⠿⠿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⣿⣾⣭⢰⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⡼⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠛⠿⡿⣼⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠁⠀⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⡿⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣴⢆⡀⠀⠀⠹⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠏⠡⠶⣶⣶⣿⣾⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠾⠿⢿⣿⣽⣻⢿⣯⡝⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⠛⢡⢠⣙⣓⣚⠲⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⡿⠟⢼⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠶⠦⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠋⠉⠁⠀ ⢳⣾⢹⣿⢻⣿⣽⣾⡿⠡⢬⣭⣭⣿⣿⣿⣿⣿⣿⣿⠿⠿⠗⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⡿⠿⠛⠛⠉⠀⠀⠀⠉⠛⣻⣿⣿⣿⣿⣿⠟⢩⣾⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⡿⠿⣣⣶⣿⣿⣟⣿⠿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣐⡄⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⢈⡉⢉⡁⣀⢀⡀⢀⡀⢀⣀⠁⣀⢉⡉⢉⣁⢀⣀⣈⠉⣁⢀⣀⢀⠀⣀⡀⢀⣀⠀⢀⡀⠀⣀⠀⢀⡀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⣧⣿⣄⣄⢸⢻⣶⣄⡀⠀⠀⠀⠀⠀⠈⠀⢸⡏⠘⣿⣿⣿⡷⣿⣿⢸⣿⡇⣿⣿⠀⢸⣿⡎⣿⠉⠀⣿⣾⣿⣿⣿⡏⠿⣾⣿⣷⣿⣿⠸⣿⡃⣿⣿⢸⣯⠙⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢿⣾⣿⣿⢿⠾⣿⡾⢿⣶⣄⠀⠀⠀⠀⠀⠸⠧⠀⠿⠟⠿⠃⠿⠿⠸⠿⠇⠿⠿⠄⠾⠻⠇⠿⠀⠠⠿⠿⠿⠿⠟⠧⠟⠿⠿⠏⠿⠿⠸⠿⠇⠿⠿⠸⠇⠸⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡟⠿⣾⣿⣿⣿⣿⣿⣷⣄⠐⠆⠂⣄⠙⠷⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⣿⣿⣿⣿⣿⢻⣿⢎⢿⣟⠀⠀⠀⠉⠉⠋⠛⠿⠿⠆⠀⠀⠙⠗⢄⣌⠊⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠇⣿⣿⣿⡟⠁⣜⠫⢿⣃⡘⠇⣤⣔⡶⣦⣤⣤⣶⣾⡇⠀⢢⠀⠐⢳⡼⣷⡌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢿⣿⣿⢇⠀⡿⢛⣻⣿⣿⣤⣹⣿⣿⣿⣿⣿⣿⣻⣇⣿⣦⣶⣄⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠈⣿⠁⣾⢠⣆⣈⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⢸⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴ ⠀⠀⣦⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢛⠿⣿⣟⠿⢿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣾⣥⢹⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠸⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠛⠿⢿⢸⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠁⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢔⡾⠽⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣴⣄⡀⠀⠀⠙⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⡣⣶⣶⣶⢶⣶⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠿⠿⣾⣽⣻⣶⣷⡽⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⠟⢡⢠⣙⣓⣚⠢⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⠿⠿⢫⣶⣶⣶⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠦⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠉⠉⠀⠀ ⢳⣾⢹⣿⠻⣿⣵⣶⡿⠋⢥⣭⣭⣿⣿⣿⣿⣿⣿⡿⠿⠿⠷⣂⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⣿⠿⠟⠛⠋⠀⠀⠀⠉⠛⣻⣿⣿⣿⣿⣿⠟⣱⣶⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⡿⠟⣠⣾⣿⣿⡿⣯⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⣀⡄⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⢈⡉⢉⡁⣀⢀⡀⢀⡀⢀⣀⠀⣉⢉⡉⢉⣁⢀⣀⣈⠉⣀⢀⣀⢀⠀⣀⡀⢀⣀⠀⢀⡀⠀⣀⠀⢀⡀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⣏⣷⡄⣄⠘⢻⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠈⣿⣿⣿⡷⣿⣿⢸⣿⡇⣿⣿⠀⢸⣿⡎⣿⠉⠈⣿⣾⣿⣿⣿⡏⠿⣿⣿⣷⣿⣿⠸⣿⡃⣿⣿⢸⣯⠙⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢿⡾⣿⣿⢿⠼⣿⡾⢿⣶⣄⠀⠀⠀⠀⠀⠸⠧⠀⠿⠟⠿⠃⠿⠿⠸⠿⠇⠿⠿⠄⠾⠻⠇⠿⠀⠰⠿⠿⠿⠿⠟⠷⠟⠿⠿⠏⠿⠿⠸⠿⠇⠿⠿⠸⠇⠸⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣷⣿⣿⣿⣿⣿⣿⣿⣾⡟⠷⣿⣿⣿⣿⣿⣿⣷⣄⠐⠆⠢⣄⠑⠷⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⣿⣿⣿⣿⣿⢻⣿⢎⢿⢟⠂⠀⠀⠉⠉⠙⠛⠿⠿⠦⠀⠀⠙⠗⢤⣌⠪⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⠇⣿⣿⣿⣟⠃⣜⠫⢿⣃⡙⠆⣤⣔⡶⣦⣤⣤⣶⣾⡇⠀⢢⠀⠀⢳⡼⣷⡌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢿⣿⡿⢇⠀⡿⢛⣻⣿⣿⣤⣹⣿⣿⣿⣿⣿⣿⣿⣇⣿⣦⣶⣄⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠈⣿⢀⣿⢠⣆⣈⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⣸⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴ ⠀⠀⣦⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢛⠿⣿⣟⠿⠿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣷⣾⣥⢹⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⡼⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠛⠿⢿⣼⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⡿⢽⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣴⢆⡀⠀⠀⠹⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠏⠡⠶⣶⣶⣻⣾⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠾⠿⠾⣾⣽⣻⢿⣯⡝⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⠛⢡⢠⣙⣓⣚⠲⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⡿⠿⠟⢼⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠶⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠋⠉⠁⠀ ⢳⣾⢹⣯⢻⣿⣵⣶⡿⠩⢭⣭⣭⣽⣿⣿⣿⣿⣿⣿⠿⠟⠓⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⣿⠿⠛⠛⠉⠀⠀⠀⠉⠛⣻⣿⣿⣿⣿⣿⠟⢫⣾⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⡿⠟⣣⣶⣿⣿⣟⣿⠿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⣀⡄⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⢈⡉⢉⡁⣀⢀⡀⢀⡀⢀⣀⠀⣁⢉⡉⢉⣁⢀⣀⣉⠉⣀⢀⣀⢀⠀⣀⡀⢀⣀⠀⢀⡀⠀⣀⠀⢀⡀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣏⣿⡔⣄⠘⢻⣶⣄⡀⠀⠀⠀⠀⠀⠈⠀⢸⡏⠘⣿⣿⣿⡷⣿⣿⢸⣿⡇⣿⣿⠀⢸⣿⡎⣿⠉⠀⣿⣾⣿⣿⣿⡏⠿⣿⣿⣷⣿⣿⠸⣿⡃⣿⣿⢸⣯⠙⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢿⡾⣿⣿⢿⠼⣿⡾⢿⣶⣄⠀⠀⠀⠀⠀⠸⠧⠀⠿⠟⠿⠃⠿⠿⠸⠿⠇⠿⠿⠄⠾⠻⠇⠿⠀⠠⠿⠿⠿⠿⠟⠧⠟⠿⠿⠏⠿⠿⠸⠿⠇⠿⠿⠸⠇⠸⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡟⠿⣾⣿⣿⣿⣿⣿⣷⣄⠐⠆⠢⣄⠑⠷⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣾⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⣿⣿⣿⣿⣿⢻⣿⢞⢿⣟⠂⠀⠀⠈⠉⠙⠛⠿⠿⠦⠀⠀⠙⡗⢄⣌⠊⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⠇⣿⣿⣿⣟⠃⣜⠫⢿⣃⡙⠇⣤⣔⡶⣦⣤⣤⣶⣾⡇⠀⢢⠀⠐⢻⡼⣷⡌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢿⣿⡿⢇⠀⡿⢛⣻⣿⣿⣦⣹⣿⣿⣿⣿⣿⣿⣿⣇⣿⣦⣶⣄⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠨⣿⢀⣿⢠⣆⣈⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⣸⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴ ⠀⠀⣦⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢛⠿⣿⣟⠿⠿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣷⣾⣥⢹⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⡼⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠛⠿⡿⣼⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠁⢀⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣴⢆⡀⠀⠀⠹⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠏⠡⢶⣶⣶⣻⣾⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠾⠿⠾⣿⣽⣻⢿⣯⡝⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⠛⢡⢠⣙⣓⣒⠲⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⢸⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠶⠦⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠋⠉⠁⠀ ⢳⣾⢹⣯⢻⣿⣵⣶⡿⠡⢬⣭⣭⣿⣿⣿⣿⣿⣿⣿⠿⠿⠓⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⣿⠿⠛⠛⠉⠀⠀⠀⠉⠛⣻⣿⣿⣿⣿⣿⠟⢫⣾⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⡿⠿⣣⣶⣿⣿⣟⣿⠿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣀⡄⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⢈⡉⢉⡁⣀⢀⡀⢀⡀⢀⣀⠁⣈⢉⡉⢉⣁⢀⣀⣈⠉⣀⢀⣀⢀⠀⣀⡀⢀⣀⠀⢀⡀⠀⣀⠀⢀⡀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⣯⣿⡔⢄⢘⢻⣶⣄⡀⠀⠀⠀⠀⠀⠈⠀⢸⡏⠘⣿⣿⣿⡷⣿⣿⢸⣿⡇⣿⣿⠀⢸⣿⡎⣿⠉⠀⣿⣾⣿⣿⣿⡏⠿⣿⣿⣷⣿⣿⠸⣿⡃⣿⣿⢸⣯⠙⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢿⡾⣿⣿⢿⠼⣿⡾⢿⣶⣄⠀⠀⠀⠀⠀⠸⠧⠀⠿⠟⠿⠃⠿⠿⠸⠿⠇⠿⠿⠄⠾⠻⠇⠿⠀⠠⠿⠿⠿⠿⠟⠧⠟⠿⠿⠏⠿⠿⠸⠿⠇⠿⠿⠸⠇⠸⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣟⠷⣾⣿⣿⣿⣿⣿⣿⣄⠀⠦⠣⣌⠙⠻⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⡿⣿⣿⣿⣿⣿⢻⣿⢎⢿⣿⠆⠀⠀⠈⠉⠙⠛⠛⠛⡦⠀⠀⠘⠗⢢⣌⠋⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⠃⣿⣿⣿⣿⠃⣼⠻⣟⣃⡘⠇⣤⣄⣲⣶⣤⣴⣶⣿⡇⡀⠢⠀⠐⢳⣼⣷⣌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⠀⢿⣿⡿⢇⠀⡿⢛⣛⣿⣿⣦⣸⣿⣿⣿⣿⣿⣿⣿⣇⣿⣷⣷⣄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠘⣿⢀⡿⢠⣆⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⣸⣡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼ ⠀⠀⣦⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣨⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿ ⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢛⡿⠿⣝⠻⠿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢻⣿⣷⣮⢹⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠜⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠛⠻⠿⣼⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠉⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⣾⡽⢟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣬⢤⣀⠀⠀⠙⣟⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠋⠱⣶⣶⣿⣻⣾⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠿⠿⠿⢷⣭⣛⠿⡶⠭⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⡴⠛⢱⢰⣙⣓⣛⠲⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠏⢼⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠶⠶⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠉⠉⠀⠀ ⢳⣿⣹⣿⢻⣻⣷⣾⡿⠁⢶⣿⣽⣿⣿⣿⣿⣿⣿⣿⠿⠛⢛⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⠿⡿⠿⠛⠛⠉⠀⠀⠀⠉⢉⣻⣿⣿⣿⣿⣿⠟⣫⣾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⡿⢟⣢⣾⣿⣿⣟⣿⠾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⣀⡄⡀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⢉⡉⢉⡉⣀⢀⡀⢀⡀⢀⣀⠁⣀⢉⡉⢉⣉⢀⣀⣉⠉⣀⢀⣀⢀⠀⣀⡀⢀⣀⠀⢀⡀⠀⣀⠀⢀⡀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣿⣄⢄⢸⢻⣶⣤⡀⠀⠀⠀⠀⠀⠈⠀⢸⡏⠈⣿⣿⣿⡷⣿⣿⢸⣿⡇⣿⣿⠀⢸⣿⡎⣿⠉⠈⣿⣾⣿⣿⣿⡏⠿⣿⣿⣷⣿⣿⠸⣿⡃⣿⣿⢸⣯⠙⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢿⣾⣿⣿⢿⠼⣿⡾⢿⣷⣄⡀⠀⠀⠀⠀⠸⠧⠀⠿⠟⠿⠃⠿⠿⠸⠿⠇⠿⠿⠄⠾⠻⠇⠿⠀⠠⠿⠿⠿⠿⠟⠧⠟⠿⠿⠏⠿⠿⠸⠿⠇⠿⠿⠸⠇⠸⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣟⠷⣶⣿⣿⣿⣿⣿⣿⣄⠘⠦⠣⣌⠙⠻⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣾⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⡿⣿⣿⣿⣿⣿⢻⣿⢎⢿⣿⠆⠀⠀⠈⠉⠙⠛⠛⠻⡇⠀⠀⠘⠗⢀⣌⠋⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⠃⣿⣿⣿⣿⠃⣼⠻⣟⣃⡘⠇⣤⣤⣲⣶⣤⣴⣶⣿⡇⡀⢢⠀⠀⢳⡼⣷⣌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢿⣿⡿⢇⠀⡿⢛⣛⣿⣿⣦⣸⣿⣿⣿⣿⣿⣿⣿⣇⣿⣷⣷⣄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠘⣿⢀⡿⢠⣆⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⣸⣡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼ ⠀⠀⣦⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣨⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿ ⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢛⡿⢿⣝⠻⠿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢻⣿⣷⣮⢹⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠜⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠛⠻⠿⣼⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠉⠽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠁⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⣾⡭⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣬⢄⣀⠀⠀⠙⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠏⠱⣶⣶⣿⣻⣾⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠿⠿⠿⢷⣭⣛⠿⡶⠽⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⡴⠛⢱⢰⣝⣓⣛⠲⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠏⢼⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠶⠶⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠉⠉⠀⠀ ⢳⣿⣹⣿⢻⣻⣷⣾⡿⠁⢶⣾⣽⣿⣿⣿⣿⣿⣿⣿⠟⠛⢛⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⠿⡿⠿⠛⠛⠉⠀⠀⠀⠉⢉⣻⣿⣿⣿⣿⣿⠟⣫⣾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⡿⠟⣣⣾⣿⣿⣟⣿⠾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⣀⡄⡀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⢉⡉⢉⡁⣀⢀⡀⢀⡀⢀⣀⠉⣈⢉⡉⢉⣉⢀⣀⣉⠉⣁⢀⣀⢀⠀⣀⡀⢀⣀⠀⢀⡀⠀⣀⠀⢀⡀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣿⣌⢄⢸⢹⣶⣤⡀⠀⠀⠀⠀⠀⠈⠀⢸⡏⠈⣿⣿⣿⡷⣿⣿⢸⣿⡇⣿⣿⠀⢸⣿⡎⣿⠉⠀⣿⣾⣿⣿⣿⡏⠿⣿⣿⣷⣿⣿⠸⣿⡃⣿⣿⢸⣯⠙⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢿⡾⣿⣿⢿⠼⣿⡾⢿⣷⣄⡀⠀⠀⠀⠀⠸⠧⠀⠿⠟⠿⠃⠿⠿⠸⠿⠇⠿⠿⠄⠾⠻⠇⠿⠀⠠⠿⠿⠿⠿⠟⠧⠟⠿⠿⠏⠿⠿⠸⠿⠇⠿⠿⠸⠇⠸⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣟⠿⣿⣿⣿⣿⣿⣿⣿⣄⠐⠦⠢⣌⠙⠻⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⡿⣿⣿⣿⣿⣿⢻⣿⢎⢿⣿⢆⠀⠀⠈⠉⠉⠛⠛⠻⡇⠀⠀⠘⡗⢄⣌⠫⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⠃⣿⣿⣿⣿⠃⣼⠻⢿⣃⡙⠇⣤⣔⡲⣦⣤⣴⣶⣾⡇⡀⢢⠀⠐⢳⡼⣷⡌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢿⣿⡿⢇⠀⡿⢛⣻⣿⣿⣦⣹⣿⣿⣿⣿⣿⣿⣻⣇⣿⣧⣶⣄⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠘⣿⢁⣿⢠⣆⣈⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⢸⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼ ⠀⠀⣦⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣨⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢛⠿⣿⣟⠻⠿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣷⣾⣭⢱⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠼⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠛⠿⠿⣼⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠁⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⢿⣟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣴⢤⡀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠱⢶⣶⣾⣻⣾⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠿⠿⠿⡿⣽⣻⢷⡦⠝⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⠟⢱⢠⣙⣓⣓⠲⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⢼⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠶⠦⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠋⠉⠀⠀ ⢳⣾⢹⣿⢻⣿⣵⣾⡿⠡⣭⣭⣽⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⡿⠿⠛⠛⠉⠀⠀⠀⠉⢙⣻⣿⣿⣿⣿⣿⠟⢫⣾⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⢟⣣⣶⣿⣿⣟⣿⠾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣀⡄⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡕⢊⡉⢉⡉⣀⢀⡀⢀⡀⢀⣀⠀⣁⢉⡉⢉⣉⢀⣀⣈⠈⣁⢀⣀⢀⠀⣀⡀⢀⣀⠀⢀⡀⠀⣀⠀⢀⡀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⣯⣿⣔⢄⢸⢻⣶⣄⡀⠀⠀⠀⠀⠀⠈⠀⢸⡏⠘⣿⣿⣿⡷⣿⣿⢸⣿⡇⣿⣿⠀⢸⣿⡌⣿⠉⠀⣿⣾⣿⣿⣿⡏⠿⣾⣿⣷⣿⣿⠸⣿⡃⣿⣿⢸⣯⠙⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢿⣾⣿⣿⢿⠾⣿⡾⢿⣶⣄⠀⠀⠀⠀⠀⠸⠧⠀⠿⠟⠿⠃⠿⠿⠸⠿⠇⠿⠿⠄⠾⠻⠇⠿⠀⠠⠿⠿⠿⠿⠟⠧⠟⠿⠿⠏⠿⠿⠸⠿⠇⠿⠿⠸⠇⠸⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣿⢿⣿⡟⠷⣿⣿⣿⣿⣿⣿⣿⣄⠐⠦⠲⣌⠙⠳⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⡿⣿⣿⣿⣿⣿⢻⣿⢎⢿⣿⠆⠀⠀⠈⠉⠉⠛⠛⠻⡧⠀⠀⠘⡗⢄⣌⠫⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⠃⣿⣿⣿⣿⠃⣼⠻⢿⣃⡙⠇⣤⣔⡲⣦⣤⣴⣶⣾⡇⡀⢢⠀⠐⢳⡽⣷⡌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢿⣿⡿⢇⠀⡿⢛⣻⣿⣿⣦⣹⣿⣿⣿⣿⣿⣿⣻⣇⣿⣧⣶⣄⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠸⣿⢀⣿⢠⣆⣈⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⢸⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼ ⠀⠀⣦⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣨⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿ ⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢛⠿⣿⣟⠻⠿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣷⣾⣭⢹⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠼⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠛⠿⠿⣼⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠁⠀⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⢿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣤⢦⡀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠏⠡⢶⣶⣾⣻⣾⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠿⠿⠿⣾⣽⣻⢷⡯⠝⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⠟⢱⢠⣙⣓⣓⠲⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⢼⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠶⠦⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠉⠉⠀⠀ ⢳⣾⢹⣿⢻⣿⣵⣾⡿⠡⣭⣭⣽⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⡿⠿⠛⠛⠉⠀⠀⠀⠉⢙⣻⣿⣿⣿⣿⣿⠿⢫⣾⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⢟⣣⣶⣿⣿⣟⣿⠾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⣀⡄⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠕⢊⡉⢉⡉⣀⢈⡀⢀⡀⢀⣀⠀⣈⢉⡉⢉⣁⢀⣀⣈⠉⣁⢀⣀⢀⠀⣀⡀⢀⣀⠀⢀⡀⠀⣀⠀⢀⡀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣯⣿⣔⢄⢸⢻⣶⣄⡀⠀⠀⠀⠀⠀⠈⠀⢸⡏⠘⣿⣿⣿⡷⣿⣿⢸⣿⡇⣿⣿⠀⢸⣿⡎⣿⠉⠀⣿⣾⣿⣿⣿⡏⠿⣾⣿⣷⣿⣿⠸⣿⡃⣿⣿⢸⣯⠙⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣿⡾⣿⣿⢿⠼⣿⡾⢿⣶⣄⠀⠀⠀⠀⠀⠸⠧⠀⠿⠟⠿⠃⠿⠿⠸⠿⠇⠿⠿⠄⠾⠻⠇⠿⠀⠠⠿⠿⠿⠿⠟⠧⠟⠿⠿⠏⠿⠿⠸⠿⠇⠿⠿⠸⠇⠸⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⡟⠷⣿⣿⣿⣿⣿⣿⣿⣄⠐⠦⠲⣌⠙⠳⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⡿⣿⣿⣿⣿⣿⢻⣿⢎⢿⣿⠆⠀⠀⠈⠉⠛⠛⠛⠻⡇⠀⠀⠙⡗⢄⣌⠫⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠇⣿⣿⣿⣿⠃⣼⠻⢿⣃⡙⠇⣤⣔⡲⣦⣤⣴⣶⣾⡇⡀⢢⠀⠀⢳⡽⣷⡌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢿⣿⡿⢇⠀⡿⢛⣻⣿⣿⣦⣹⣿⣿⣿⣿⣿⣿⣿⣇⣿⣧⣶⣄⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠘⣿⢀⣿⢠⣆⣈⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⢸⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼ ⠀⠀⣦⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣨⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿ ⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢛⠿⣿⣟⠻⠿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣾⣭⢱⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠼⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠛⠿⠿⣼⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠁⠀⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣿⢿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣼⢤⡀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠏⠡⢶⣶⣾⣻⣾⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠿⠿⠿⣿⣽⣻⢷⡦⠝⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⠟⢱⢠⣙⣓⣒⠲⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⢼⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠶⠦⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠋⠉⠀⠀ ⢳⣾⢹⣿⢻⣿⣵⣾⡿⠡⣬⣭⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⡿⠿⠛⠛⠉⠀⠀⠀⠉⢙⣻⣿⣿⣿⣿⣿⠟⣫⣾⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⢟⣣⣶⣿⣿⣟⣿⠾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⣀⡄⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡕⢈⡉⢉⡉⣀⢀⡀⢀⡀⢀⣀⠀⣀⢉⡉⢉⣉⢀⣀⣈⠈⣁⢀⣀⢀⠀⣀⡀⢀⣀⠀⢀⡀⠀⣀⠀⢀⡀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⣯⣿⣔⢄⢸⢻⣶⣤⡀⠀⠀⠀⠀⠀⠈⠀⢸⡏⠘⣿⣿⣿⡷⣿⣿⢸⣿⡇⣿⣿⠀⢸⣿⡎⣿⠉⠈⣿⣾⣿⣿⣿⡏⠿⣾⣿⣷⣿⣿⠸⣿⡃⣿⣿⢸⣯⠙⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢿⣾⣿⣿⢿⠼⣿⡾⢿⣷⣄⠀⠀⠀⠀⠀⠸⠧⠀⠿⠟⠿⠃⠿⠿⠸⠿⠇⠿⠿⠄⠾⠻⠇⠿⠀⠠⠿⠿⠿⠿⠟⠧⠟⠿⠿⠏⠿⠿⠸⠿⠇⠿⠿⠸⠇⠸⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⡟⠷⣿⣿⣿⣿⣿⣿⣿⣄⠐⠦⠲⣄⠙⠳⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⡿⣿⣿⣿⣿⣿⢻⣿⢎⢿⣿⠆⠀⠀⠈⠉⠋⠛⠛⠻⡇⠀⠀⠘⡗⢀⣌⠋⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠃⣿⣿⣿⣿⠃⣼⠻⢿⣃⡙⠇⣥⣔⡲⣦⣤⣴⣶⣾⡇⡀⢢⠀⠀⢳⡽⣷⡌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢿⣿⡿⢇⠀⡿⢛⣻⣿⣿⣦⣹⣿⣿⣿⣿⣿⣿⣿⣇⣿⣧⣶⣄⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠘⣿⢀⣾⢠⣆⣈⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⢸⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼ ⠀⠀⣦⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣨⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿ ⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢛⠿⣿⣟⠻⠿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣷⣾⣭⢱⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠼⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠛⠿⠿⣼⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠁⠀⠀⠁⠀⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⢿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣬⢦⡀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠡⢶⣶⣾⣻⣾⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠿⠿⠿⣿⣽⣻⢷⡦⠝⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⠟⢱⢠⣙⣓⣒⠲⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⢼⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠰⠶⠦⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠋⠉⠀⠀ ⢳⣾⢹⣿⢻⣿⣵⣾⡿⠡⣭⣭⣽⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⡿⠿⠛⠛⠉⠀⠀⠀⠉⢙⣻⣿⣿⣿⣿⣿⠿⢫⣾⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣷⣾⣭⢱⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠼⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠛⠿⠿⣼⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠁⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣴⢆⡀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠏⠡⢶⣶⣾⣻⣾⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠿⠿⠿⢾⣽⣻⢷⣮⠝⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⠟⢱⢠⣙⣓⣓⠲⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⢼⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠶⠦⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠋⠉⠁⠀ ⢳⣺⢹⣿⢻⣿⣵⣾⡿⠡⣬⣭⣽⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⡿⠿⠛⠛⠉⠀⠀⠀⠉⢙⣻⣿⣿⣿⣿⣿⠟⢫⣾⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⠟⣣⣶⣿⣿⣟⣿⠞⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⣀⡄⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠕⢈⡉⢉⡉⣀⢀⡀⢀⡀⢀⣀⠈⣁⢉⡉⢉⣁⢀⣀⣉⠉⣀⢀⣀⢀⠀⣀⡀⢀⣀⠀⢀⡀⠀⣀⠀⢀⡀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⣯⣿⣔⢄⢸⢻⣶⣄⡀⠀⠀⠀⠀⠀⠈⠀⢸⡏⠘⣿⣿⣿⡷⣿⣿⢸⣿⡇⣿⣿⠀⢸⣿⡎⣿⠉⠀⣿⣾⣿⣿⣿⡏⠿⣿⣿⣷⣿⣿⠸⣿⡃⣿⣿⢸⣯⠙⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢿⣾⣿⣿⢿⠼⣿⡾⢿⣷⣄⡀⠀⠀⠀⠀⠸⠧⠀⠿⠟⠿⠃⠿⠿⠸⠿⠇⠿⠿⠄⠾⠻⠇⠿⠀⠠⠿⠿⠿⠿⠟⠧⠟⠿⠿⠏⠿⠿⠸⠿⠇⠿⠿⠸⠇⠸⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⡟⠷⣿⣿⣿⣿⣿⣿⣿⣄⠐⠦⠣⣄⠙⠳⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⡿⣿⣿⣿⣿⣿⢻⣿⢎⢿⣿⠆⠀⠀⠈⠉⠛⠛⠛⠻⡧⠀⠀⠙⡗⢀⣌⠪⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠇⣿⣿⣿⣿⠃⣼⠫⢾⣃⡙⠇⣤⣔⡲⣦⣤⣴⣶⣾⡇⡀⢢⠀⠀⢳⡽⣷⡌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢿⣿⡿⢇⠀⡿⢛⣻⣿⣿⣦⣹⣿⣿⣿⣿⣿⣿⣿⣇⣿⣧⣶⣄⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠘⣿⢁⣿⢠⣆⣈⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⢸⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼ ⠀⠀⣦⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣨⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿ ⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢛⠿⣿⣟⠻⠿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣷⣾⣭⢱⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠼⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠛⠿⠿⣼⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠁⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⢿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣴⢤⡀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠟⠡⢶⣶⣾⣻⣾⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠿⠿⠿⣾⣝⣻⢶⣯⠝⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⠟⢱⢠⣙⣓⣛⠲⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⢼⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠶⠦⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠋⠉⠁⠀ ⢳⣾⢹⣿⢻⣿⣵⣾⡿⠡⣬⣭⣽⣽⣿⣿⣿⣿⣿⣿⠿⠟⠛⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⡿⠿⠛⠛⠉⠀⠀⠀⠉⢙⣻⣿⣿⣿⣿⣿⠿⢫⣾⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⠟⣣⣶⣿⣿⣟⣿⠾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⣀⡄⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡕⢈⡉⢉⡉⣀⢀⡀⢀⡀⢀⣈⠁⣈⢉⡉⢉⣁⢀⣀⣉⠉⣀⢀⣀⢀⠀⣀⡀⢀⣀⠀⢀⡀⠀⣀⠀⢀⡀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⣯⣿⣔⢄⢸⢻⣦⣤⡀⠀⠀⠀⠀⠀⠈⠀⢸⡏⠘⣿⣿⣿⡷⣿⣿⢸⣿⡇⣿⣿⠀⢸⣿⡎⣿⠉⠈⣿⣾⣿⣿⣿⡏⠿⣿⣿⣷⣿⣿⠸⣿⡃⣿⣿⢸⣯⠙⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣿⡾⣿⣿⢿⠼⣿⡾⢿⣷⣄⠀⠀⠀⠀⠀⠸⠧⠀⠿⠟⠿⠃⠿⠿⠸⠿⠇⠿⠿⠄⠾⠻⠇⠿⠀⠠⠿⠿⠿⠿⠟⠧⠟⠿⠿⠏⠿⠿⠸⠿⠇⠿⠿⠸⠇⠸⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡟⠿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠆⠣⣄⠛⢶⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣼⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⣿⣿⣿⣿⣿⢻⣿⠎⢿⣿⢆⠀⠁⠉⠉⠙⠛⠻⠿⠦⠀⠀⠙⠇⢄⣌⠊⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠃⣿⣿⣿⣿⠃⣼⠩⢾⣂⡙⠆⣤⣔⡲⣦⣤⣤⣶⣾⡇⡀⢢⠀⠀⢳⡼⣷⡌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⠀⢿⣿⡿⢇⠀⡳⢛⣻⣿⣿⣤⣸⣿⣿⣿⣿⣿⣿⣻⣇⣿⣦⣶⣄⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠘⢿⠀⣾⢠⣆⣈⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⢸⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼ ⠀⠀⣄⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣨⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿ ⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢛⠿⣿⣟⠿⠿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢻⣿⣾⣭⢹⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠛⠿⡿⣼⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠁⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢔⡾⠿⣻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣴⢤⡀⠀⠀⠹⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠏⠠⠶⣶⠶⢶⣾⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠿⠷⣮⣽⣻⢿⣶⠽⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⠛⢡⢠⣉⣓⣒⠢⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⢱⣶⣾⣶⣖⣿⣿⡿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠶⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠉⠉⠀⠀ ⢳⣞⢹⣯⢻⣛⣵⣶⡿⠁⡤⣭⣭⣽⣿⣿⣿⣿⣿⡿⠿⠛⢒⣠⣤⣶⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⣿⠿⠛⠛⠉⠀⠀⠀⠉⢘⣻⣿⣿⣿⣿⡿⢏⣵⡾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿⢇⣠⣾⣿⢿⢯⣿⠾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⣀⡄⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠈⠈⠀⠈⠈⠉⠉⠉⠉⠉⠉⠉⠉⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⣧⣿⣄⢄⢸⢹⣶⣄⠀⠀⣿⠀⣿⠿⢸⣿⢸⣿⡇⢸⣟⣃⣿⡍⣿⠁⢸⣿⡾⣧⣿⣿⢸⣿⠸⣿⠁⢻⣾⣿⡏⣿⢹⡏⣿⣿⠀⣸⣿⢸⣿⡏⣿⠏⣿⠉⣿⣿⣿⢸⣿⡇⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⣿⡾⣿⣿⢿⠼⣿⡾⠶⠆⠿⠀⠻⠟⠿⠻⠿⠻⠇⠘⠿⠟⠿⠆⠿⠀⠸⠿⠇⠿⠹⠟⠿⠻⠇⠿⠀⠸⠟⠿⠇⠿⠸⠇⠿⠻⠀⠿⠻⠺⠻⠇⠻⠀⠻⠀⠿⠿⠻⠸⠛⠇⠻⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡟⠿⣿⣿⣿⣿⣿⣿⣷⣄⠐⢆⠣⣄⠛⢷⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣼⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⣿⣿⣿⣿⣿⢻⣿⠎⢻⣿⠆⠈⠁⠉⠉⠙⠛⠿⠿⠦⠀⠀⠙⡗⢄⣌⠊⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠃⣿⣿⣿⣿⠃⣼⠩⢾⣃⡙⠆⣤⣔⡲⣦⣤⣤⣶⣾⡇⡀⢢⠀⠀⢳⡼⣷⡌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢿⣿⡿⢇⠀⡳⢛⣻⣿⣿⣤⣹⣿⣿⣿⣿⣿⣿⣻⣇⣿⣦⣶⣄⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠘⣿⠁⣾⢠⣆⣈⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⢸⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼ ⠀⠀⣄⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣨⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿ ⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢛⠿⣿⣟⠿⠿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢻⣿⣾⣭⢹⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠛⠿⡿⣼⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠁⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⡾⠿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣴⢤⡀⠀⠀⠹⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⠏⠠⠶⣶⣶⢶⣾⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠿⠷⣮⣽⣻⢿⣶⠽⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⠛⢡⢠⣉⣓⣓⠲⣬⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⡿⠿⠟⢱⣶⣶⣶⣖⣿⣿⡿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠉⠉⠀⠀ ⢳⣞⢹⣷⢿⣛⣵⣶⡿⠁⣬⣭⣭⣽⣿⣿⣿⣿⣿⡿⠿⠛⢒⣠⣤⣶⣾⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⣿⠿⠛⠛⠉⠀⠀⠀⠉⢘⣻⣿⣿⣿⣿⡿⢏⣵⡾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿⢇⣠⣾⣿⢿⢯⣽⠾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣀⡄⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠈⠈⠀⠀⠁⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⣧⣿⣄⢄⢸⢻⣶⣄⠀⠀⣿⠀⣿⠿⢸⣿⢸⣿⡇⢸⣟⣃⣿⡍⣿⠁⢸⣿⡾⣧⣿⣿⢸⣿⠸⣿⠁⢻⣾⣿⡏⣿⢹⡏⣿⣿⠀⣸⣿⢸⣿⡏⣿⠏⣿⠉⣿⣿⣿⢸⣿⡇⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣿⡾⣿⣿⢿⠼⣿⡾⠶⠆⠿⠀⠻⠟⠿⠻⠿⠻⠇⠘⠿⠟⠿⠆⠿⠀⠸⠿⠇⠿⠹⠟⠿⠻⠇⠿⠀⠸⠟⠿⠇⠿⠸⠇⠿⠻⠀⠿⠻⠺⠻⠇⠻⠀⠻⠀⠿⠿⠻⠸⠛⠇⠻⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡟⠿⣿⣿⣿⣿⣿⣿⣷⡄⠐⠆⠃⣄⠛⢶⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⢻⣿⢎⢻⣿⢆⠀⠀⠉⠉⠛⠛⠻⠿⠦⠀⠀⠙⡇⢄⣌⠊⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠇⣿⣿⣿⣿⠃⣌⠩⢾⣃⡙⠆⣤⣔⡲⣦⣤⣤⣶⣾⡇⡀⢢⠀⠐⢳⡼⣷⡌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢿⣿⡿⢇⠀⡳⢛⣻⣿⣿⣤⣹⣿⣿⣿⣿⣿⣿⣻⣇⣿⣦⣶⣄⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠸⡿⠁⣾⢠⣆⣈⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⢸⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼ ⠀⠀⣆⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿ ⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢛⠿⣿⣟⠿⢿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢻⣿⣾⣭⢹⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠐⠛⠿⢿⢸⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⡾⠽⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣤⢠⠀⠀⠀⠹⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠠⠶⢶⣶⢶⣴⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠿⠷⣾⣽⣻⢿⣷⠭⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⠛⢡⢠⣉⣓⣓⠲⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢣⣶⣶⣶⣞⣿⣿⣿⢿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠶⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠉⠉⠀⠀ ⢳⣲⢹⣯⢻⣛⣵⣶⡯⠁⣬⣭⣭⣽⣿⣿⣿⣿⣿⣿⠿⠛⠓⣂⣤⣶⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⣿⠿⠛⠛⠉⠀⠀⠀⠉⢙⣻⣿⣿⣿⣿⡿⠟⣡⣶⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿⢟⣠⣾⣿⣿⡟⣯⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣀⡄⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⢿⣄⢄⢸⢹⣶⣄⠀⠀⣿⠀⣿⠿⢸⣿⢸⣿⡇⢸⣟⣃⣿⡍⣿⠁⢸⣿⡾⣧⣿⣿⢸⣿⠸⣿⠃⢻⣾⣿⡏⣿⢹⡏⣿⣿⠀⣸⣿⢸⣿⡏⣿⠏⣿⠉⣿⣿⣿⢸⣿⡇⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢿⡾⣿⣿⢾⠼⣿⡾⠶⠆⠿⠀⠻⠟⠿⠻⠿⠻⠇⠘⠿⠟⠿⠆⠿⠀⠸⠿⠇⠿⠹⠟⠿⠻⠇⠿⠀⠸⠟⠿⠇⠿⠸⠇⠿⠻⠀⠿⠻⠺⠻⠇⠻⠀⠻⠀⠿⠿⠻⠸⠛⠇⠻⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡟⠿⣿⣿⣿⣿⣿⣿⣷⣄⠐⠆⠁⣄⠛⢶⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⣿⣿⣿⣿⣿⢻⣿⢎⢿⣿⢆⠀⠀⠈⠉⠙⠛⠛⠿⠦⠀⠀⠙⡗⢄⣌⠊⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠃⣿⣿⣿⣿⠃⣼⠫⢾⣃⡙⠇⣤⣔⡲⣦⣤⣤⣶⣾⡇⡀⢢⠀⠀⢳⡼⣷⡌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢿⣿⡿⢇⠀⡳⢋⣻⣿⣿⣤⣹⣿⣿⣿⣿⣿⣿⣻⣇⣿⣦⣶⣄⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠘⢿⠀⣾⢠⣆⣈⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⢸⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼ ⠀⠀⣆⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣨⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿ ⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢛⠿⣿⣟⠻⠿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣾⣭⢹⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠼⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠙⠿⠿⣼⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠁⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢔⡿⠿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣬⢤⡀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⠿⠾⠏⠡⠶⣶⣶⣻⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠿⠿⠶⣾⣽⣻⢾⣦⠝⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⠟⢡⢠⣙⣓⣛⠲⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⢸⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠶⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠋⠉⠀⠀ ⢳⣺⢹⣯⢻⣛⣵⣾⡿⠁⢬⣭⣭⣿⣿⣿⣿⣿⣿⣿⠿⠛⢓⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⡿⠿⠛⠛⠉⠀⠀⠀⠉⢉⣻⣿⣿⣿⣿⣿⠛⣫⣾⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿⠟⣠⣶⣿⣿⣟⣿⠶⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣀⡄⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠈⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⣧⣿⣄⢄⢸⢻⣶⣄⠀⠀⣿⠀⣿⠿⢸⣿⢸⣿⡇⢸⣟⣃⣿⡍⣿⠁⢸⣿⡾⣧⣿⣿⢸⣿⠸⣿⠁⢻⣾⣿⡏⣿⢹⡏⣿⣿⠀⣸⣿⢸⣿⡏⣿⠏⣿⠉⣿⣿⣿⢸⣿⡇⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⢿⡾⣿⣿⢿⠼⣿⡾⠶⠆⠿⠀⠻⠟⠿⠻⠿⠻⠇⠘⠿⠟⠿⠆⠿⠀⠸⠿⠇⠿⠹⠟⠿⠻⠇⠿⠀⠸⠟⠿⠇⠿⠸⠇⠿⠻⠀⠿⠻⠺⠻⠇⠻⠀⠻⠀⠿⠿⠻⠸⠛⠇⠻⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡟⠷⣿⣿⣿⣿⣿⣿⣷⣄⠀⢆⠃⣄⠚⠷⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⣿⣿⣿⣿⣿⢻⣿⢎⢿⣿⠆⠀⠀⠈⠉⠚⠛⠻⠿⠦⠀⠀⠙⡗⠄⣌⠊⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠃⣿⣿⣿⣿⠃⣼⠫⢾⣃⡙⠆⣤⣔⡲⣦⣤⣤⣶⣾⡇⡀⢢⠀⠀⢳⡼⣷⡌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⠀⢿⣿⡿⢇⠀⡳⢋⣻⣿⣿⣤⣸⣿⣿⣿⣿⣿⣿⣻⣇⣿⣦⣶⣄⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠘⢿⠀⣾⢠⣆⣈⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⢸⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼ ⠀⠀⣆⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣨⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿ ⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢛⠿⣿⣟⠻⠿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠿⣿⣶⣭⢹⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠼⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠛⠿⠟⣼⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣯⠁⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣬⢤⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠾⠊⠡⠶⣶⣶⣻⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠿⠿⠶⣾⣽⣻⢾⣦⠝⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⠛⢡⢠⣉⣓⡚⠲⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠏⢸⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠶⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠉⠉⠀⠀ ⢳⣒⢹⣿⢻⣛⣵⣾⡿⠁⢬⣭⣭⣭⣿⣿⣿⣿⣿⣿⠿⠛⢓⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⡿⠿⠛⠛⠉⠀⠀⠀⠉⢉⣻⣿⣿⣿⣿⣿⠟⣫⣾⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿⠟⣠⣶⣿⣿⣟⣿⠶⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠈⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⣇⣿⣄⢄⢘⢻⣶⣄⠀⠀⣿⠀⣿⠿⢸⣿⢸⣿⡇⢸⣟⣃⣿⡍⣿⠁⢸⣿⡾⣧⣿⣿⢸⣿⠸⣿⠁⢻⣾⣿⡏⣿⢹⡏⣿⣿⠀⣸⣿⢸⣿⡏⣿⠏⣿⠉⣿⣿⣿⢸⣿⡇⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⢿⡾⣿⣿⢿⠼⣿⡾⠶⠆⠿⠀⠻⠟⠿⠻⠿⠻⠇⠘⠿⠟⠿⠆⠿⠀⠸⠿⠇⠿⠹⠟⠿⠻⠇⠿⠀⠸⠟⠿⠇⠿⠸⠇⠿⠻⠀⠿⠻⠺⠻⠇⠻⠀⠻⠀⠿⠿⠻⠸⠛⠇⠻⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠿⣿⣿⣿⣿⣿⣿⣷⣄⠐⢆⠣⣄⠚⢷⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⣿⣿⣿⣿⣿⢻⣿⢎⢿⣿⢆⠀⠀⠈⠉⠙⠛⠿⠿⠧⠀⠀⠙⡗⢄⣌⠊⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠇⣿⣿⣿⣿⠃⣼⠫⢿⣃⡙⠇⣤⣔⡲⣦⣤⣤⣶⣾⡇⡀⢢⠀⠀⢳⡼⣷⡌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⠀⢿⣿⣿⢇⠀⡳⢛⣻⣿⣿⣤⣹⣿⣿⣿⣿⣿⣿⣻⣇⣿⣦⣶⣄⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠘⢿⠀⣾⢠⣆⣈⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼ ⠀⠀⣦⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿ ⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢛⠿⣿⣟⢿⢿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣾⣭⢹⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠰⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠛⠿⢿⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠈⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣾⠿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣤⢠⠀⠀⠀⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⠋⠠⠴⢶⣶⢶⣴⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠿⠷⣾⣽⣻⢿⣦⠭⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⠟⢡⢠⣉⣓⣛⠲⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠯⠻⢡⣶⣶⡶⣞⣯⣿⣿⢿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠶⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠉⠉⠀⠀ ⢳⣲⢹⣯⠿⣛⣵⣶⡿⠁⣬⣭⣭⣭⣿⣿⣿⣿⣿⣿⠿⠛⠓⣂⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⣿⠿⠛⠛⠉⠀⠀⠀⠉⠙⣻⣿⣿⣿⣿⡿⠟⣱⣶⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿⠟⣠⣾⣿⣿⡟⣯⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠁⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⣧⢿⣄⢄⢸⢻⣶⣄⠀⠀⣿⠀⣿⠿⢸⣿⢸⣿⡇⢸⣟⣃⣿⡍⣿⠁⢸⣿⡾⣧⣿⣿⢸⣿⠸⣿⠃⢻⣾⣿⡏⣿⢹⡏⣿⣿⠀⣸⣿⢸⣿⡏⣿⠏⣿⠉⣿⣿⣿⢸⣿⡇⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣿⡾⣿⣿⢿⠼⣿⡾⠶⠆⠿⠀⠻⠟⠿⠻⠿⠻⠇⠘⠿⠟⠿⠆⠿⠀⠸⠿⠇⠿⠹⠟⠿⠻⠇⠿⠀⠸⠟⠿⠇⠿⠸⠇⠿⠻⠀⠿⠻⠺⠻⠇⠻⠀⠻⠀⠿⠿⠻⠸⠛⠇⠻⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡟⠿⣿⣿⣿⣿⣿⣿⣷⣄⠘⢆⠣⣄⠚⠷⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⣿⣿⣿⣿⣿⢻⣿⢎⢿⣿⢆⠀⠀⠈⠉⠛⠛⠿⠿⠦⠀⠀⠙⡗⢄⣌⠊⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠇⣿⣿⣿⣿⠃⣼⠫⢾⣃⡙⠇⣤⣔⡲⣦⣤⣤⣶⣾⡇⡀⢢⠀⠀⢳⡼⣷⡌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⠀⢿⣿⡿⢇⠀⡳⢟⣻⣿⣿⣤⣸⣿⣿⣿⣿⣿⣿⣻⣇⣿⣦⣶⣄⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠸⢿⠁⣾⢠⣆⣈⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⢸⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼ ⠀⠀⣦⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿ ⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢛⠿⣿⣟⠿⢿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣾⣭⢹⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠰⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠛⠿⢿⢸⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠈⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣾⢿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣴⢠⠀⠀⠀⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠠⠶⢶⣶⢶⣴⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠿⠶⣾⣽⣻⢿⣷⠭⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⠟⢡⢠⣙⣓⣛⠲⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⢡⣶⣶⣶⣞⣯⣿⣿⢿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠶⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠉⠉⠀⠀ ⢳⣶⢹⣯⢿⣛⣵⣶⡿⠁⣬⣭⣭⣽⣿⣿⣿⣿⣿⡿⠿⠛⠛⣂⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⣿⠿⠛⠛⠉⠀⠀⠀⠉⢙⣻⣿⣿⣿⣿⡿⠟⣡⣶⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿⠟⣠⣾⣿⣿⡟⣯⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⣀⡄⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⣧⢿⣄⢄⢰⢻⣶⣄⠀⠀⣿⠀⣿⠿⢸⣿⢸⣿⡇⢸⣟⣃⣿⡍⣿⠁⢸⣿⡿⣧⣿⣿⢸⣿⠸⣿⠃⢻⣾⣿⡏⣿⢹⡏⣿⣿⠀⣸⣿⢸⣿⡏⣿⠏⣿⠉⣿⣿⣿⢸⣿⡇⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⣿⡾⣿⣿⢾⠼⣿⡾⠶⠆⠿⠀⠻⠟⠿⠻⠿⠻⠇⠘⠿⠟⠿⠆⠿⠀⠸⠿⠇⠿⠹⠟⠿⠻⠇⠿⠀⠸⠟⠿⠇⠿⠸⠇⠿⠻⠀⠿⠻⠺⠻⠇⠻⠀⠻⠀⠿⠿⠻⠸⠛⠇⠻⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠷⣿⣿⣿⣿⣿⣿⣷⡄⠐⢆⠢⣄⠚⠷⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣾⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⣿⣿⣿⣿⣿⢻⣿⢎⢿⣿⠆⠀⠀⠈⠉⠛⠛⠻⠿⠦⠀⠀⠙⡇⢄⣌⠊⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠇⣿⣿⣿⣿⠇⣼⠫⢾⣃⡙⠆⣤⣔⡲⣦⣤⣤⣶⣾⡇⡀⢢⠀⠀⢳⡼⣷⡌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⠀⢿⣿⡿⢃⠀⡷⢋⣻⣿⣿⣤⣹⣿⣿⣿⣿⣿⣿⣻⣇⣿⣦⣶⣄⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠘⢿⠀⣿⢠⣆⣈⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⢸⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼ ⠀⠀⣦⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣨⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿ ⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢛⠿⣿⣟⠻⠿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠿⣿⣾⣭⢹⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠛⠿⠟⣼⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⡿⠿⣟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣤⢤⡀⠀⠀⠹⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠾⠏⠡⠶⣶⣶⣫⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠿⠻⠷⣾⣽⣻⢷⣧⠝⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⠛⢡⢠⣙⣓⣛⠲⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⢸⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠶⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠉⠉⠀⠀ ⢳⣲⢹⣯⢿⣛⣵⣶⡿⠁⢬⣭⣭⣽⣿⣿⣿⣿⣿⣿⠿⠛⢓⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⠿⡿⠿⠛⠛⠉⠀⠀⠀⠉⢘⣻⣿⣿⣿⣿⣿⠟⣫⣾⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠿⠟⣠⣶⣿⣿⣟⣿⠶⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⣀⡄⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠈⠈⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⣧⣿⣄⢄⢸⢻⣶⣄⠀⠀⣿⠀⣿⠿⢸⣿⢸⣿⡇⢸⣟⣃⣿⡍⣿⠁⢸⣿⡾⣧⣿⣿⢸⣿⠸⣿⠃⢻⣾⣿⡏⣿⢹⡏⣿⣿⠀⣸⣿⢸⣿⡏⣿⠏⣿⠉⣿⣿⣿⢸⣿⡇⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢿⡾⣿⣿⢿⠼⣿⡾⠶⠆⠿⠀⠻⠟⠿⠻⠿⠻⠇⠘⠿⠟⠿⠆⠿⠀⠸⠿⠇⠿⠹⠟⠿⠻⠇⠿⠀⠸⠟⠿⠇⠿⠸⠇⠿⠻⠀⠿⠻⠺⠻⠇⠻⠀⠻⠀⠿⠿⠻⠸⠛⠇⠻⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠿⣿⣿⣿⣿⣿⣿⣷⣄⠘⢆⠣⣄⠚⠷⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣾⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⣿⣿⣿⣿⣿⢻⣿⢎⢻⣟⢆⠀⠀⠈⠉⠛⠛⠻⠿⠦⠀⠀⠙⡗⢄⣌⠊⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠇⣿⣿⣿⣿⠃⣼⠫⢿⣃⡙⠇⣤⣔⡲⣦⣤⣤⣶⣾⡇⡀⢢⠀⠐⢳⡼⣷⡌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⠀⢿⣿⡿⢏⠀⡷⢛⣻⣿⣿⣤⣹⣿⣿⣿⣿⣿⣿⣻⣇⣿⣦⣶⣄⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠸⢿⠀⣿⢠⣆⣈⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⢸⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼ ⠀⠀⣦⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣨⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿ ⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢛⠿⣿⣟⠻⠿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣾⣭⢹⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠼⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠛⠿⠿⣼⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠁⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣿⢿⣟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣬⢤⡀⠀⠀⠹⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠿⠏⠡⠶⣶⣶⣫⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠷⠿⠷⣾⣽⣻⢷⣯⠝⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⠛⢡⢠⣙⣓⡛⠲⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⡿⠿⠟⢸⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠶⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠉⠉⠀⠀ ⢳⣲⢹⣯⢻⣛⣵⣾⡿⠡⢬⣭⣭⣽⣿⣿⣿⣿⣿⣿⠿⠛⢓⣠⣴⣾⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⠿⡿⠿⠛⠛⠉⠀⠀⠀⠉⢙⣻⣿⣿⣿⣿⣿⠟⣫⣾⣛⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠿⠟⣠⣶⣿⣿⣟⣿⠶⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⣀⡄⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠈⠈⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⣧⣿⣄⢄⢸⢻⣶⣄⠀⠀⣿⠀⣿⠿⢸⣿⢸⣿⡇⢸⣟⣃⣿⡍⣿⠁⢸⣿⡾⣧⣿⣿⢸⣿⠸⣿⠃⢻⣾⣿⡏⣿⢹⡏⣿⣿⠀⣸⣿⢸⣿⡏⣿⠏⣿⠉⣿⣿⣿⢸⣿⡇⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢿⡾⣿⣿⢿⠼⣿⡾⠶⠆⠿⠀⠻⠟⠿⠻⠿⠻⠇⠘⠿⠟⠿⠆⠿⠀⠸⠿⠇⠿⠹⠟⠿⠻⠇⠿⠀⠸⠟⠿⠇⠿⠸⠇⠿⠻⠀⠿⠻⠺⠻⠇⠻⠀⠻⠀⠿⠿⠻⠸⠛⠇⠻⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠿⣿⣿⣿⣿⣿⣿⣷⣄⠐⢆⠃⣄⠚⠷⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⣿⣿⣿⣿⣿⢻⣿⢎⢿⣟⢆⠀⠀⠉⠉⠛⠛⠿⠿⠦⠀⠀⠙⡗⢄⣌⠊⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠇⣿⣿⣿⣿⠃⣼⠫⢿⣃⡙⠇⣤⣔⡲⣦⣤⣤⣶⣾⡇⡀⢢⠀⠐⢳⡼⣷⡌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢿⣿⡿⢇⠀⡳⢟⣻⣿⣿⣤⣸⣿⣿⣿⣿⣿⣿⣻⣇⣿⣦⣶⣄⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠸⢿⠀⣾⢠⣆⣈⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⢸⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴ ⠀⠀⣦⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿ ⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢛⠿⣿⣟⢿⢿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠿⣿⣾⣭⢹⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠼⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠙⠿⢿⢸⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⡾⢽⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣴⢠⠀⠀⠀⠹⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡯⣿⠏⠡⠴⢶⣶⢶⣴⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠷⣾⣽⣻⢷⣷⠭⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⠛⢱⢠⣙⣓⡛⠢⣬⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⡿⠿⠿⢡⣶⣶⢶⣞⣿⣿⣿⢿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠉⠉⠀⠀ ⢳⣲⢹⣿⢿⣛⣵⣾⡿⠁⣬⣭⣭⣽⣿⣿⣿⣿⣿⡿⠿⠛⠓⣀⣤⣶⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⣿⠿⠛⠛⠉⠀⠀⠀⠉⢙⣻⣿⣿⣿⣿⣿⠟⣡⣶⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿⠟⣠⣾⣿⣿⡿⣯⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⣀⡄⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⣧⢿⣄⢄⢸⢹⣶⣄⠀⠀⣿⠀⣿⠿⢸⣿⢸⣿⡇⢸⣟⣃⣿⡍⣿⠁⢸⣿⡾⣧⣿⣿⢸⣿⠸⣿⠃⢻⣾⣿⡏⣿⢹⡏⣿⣿⠀⣸⣿⢸⣿⡏⣿⠏⣿⠉⣿⣿⣿⢸⣿⡇⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⣿⡾⣿⣿⢾⠼⣿⡾⠶⠆⠿⠀⠻⠟⠿⠻⠿⠻⠇⠘⠿⠟⠿⠆⠿⠀⠸⠿⠇⠿⠹⠟⠿⠻⠇⠿⠀⠸⠟⠿⠇⠿⠸⠇⠿⠻⠀⠿⠻⠺⠻⠇⠻⠀⠻⠀⠿⠿⠻⠸⠛⠇⠻⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣷⣷⣿⣿⣿⣿⣿⣿⢿⣿⡟⠷⣿⣿⣿⣿⣿⣿⣷⣄⠀⠆⠂⣄⠚⠷⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⣿⣿⣿⣿⣿⢻⣿⢎⢹⢟⢂⠀⠀⠉⠉⠛⠛⠻⠿⠦⠀⠀⠙⡗⢄⣌⠊⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⠇⣿⣿⣿⣿⠃⣸⠫⢾⣃⡙⠇⣤⣔⡲⣦⣤⣤⣶⣾⡇⡀⢢⠀⠐⢳⡼⣷⡌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢿⣿⡿⢇⠀⡳⢛⣻⣿⣿⣤⣸⣿⣿⣿⣿⣿⣿⣻⣇⣿⣦⣶⣄⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠘⢿⠀⣾⢠⣆⣈⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⢸⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴ ⠀⠀⣦⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿ ⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢛⠿⣿⣟⢿⢿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿ ⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢻⣿⣾⣭⢹⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠙⠿⢿⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⡾⠿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣤⢠⠀⠀⠀⠙⢿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢏⣿⠏⠡⠴⢶⣶⢶⣴⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠷⠿⠷⣾⣽⣻⢷⣷⠭⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⠛⢡⢠⣙⣓⡓⠢⣬⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢡⣶⣶⢶⣞⣯⣿⣿⢿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠉⠉⠀⠀ ⢳⣒⢹⣿⢻⣛⣵⣶⡿⠁⡬⣭⣭⣽⣿⣿⣿⣿⣿⡿⠿⠟⠓⣀⣤⣶⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⣿⠿⠛⠛⠉⠀⠀⠀⠉⢙⣻⣿⣿⣿⣿⡿⠟⣱⣶⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿⠏⣠⣾⣿⣿⡿⣯⡷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⣀⡄⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⣧⢿⣄⢄⢘⢻⣶⣄⠀⠀⣿⠀⣿⠿⢸⣿⢸⣿⡇⢸⣟⣃⣿⡍⣿⠁⢸⣿⡿⣧⣿⣿⢸⣿⠸⣿⠁⢻⣾⣿⡏⣿⢹⡏⣿⣿⠀⣸⣿⢸⣿⡏⣿⠏⣿⠉⣿⣿⣿⢸⣿⡇⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⣿⡾⣿⣿⢾⠼⣿⡾⠶⠆⠿⠀⠻⠟⠿⠻⠿⠻⠇⠘⠿⠟⠿⠆⠿⠀⠸⠿⠇⠿⠹⠟⠿⠻⠇⠿⠀⠸⠟⠿⠇⠿⠸⠇⠿⠻⠀⠿⠻⠺⠻⠇⠻⠀⠻⠀⠿⠿⠻⠸⠛⠇⠻⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣷⣿⣿⣿⣿⣿⣿⣿⢿⣿⡟⠿⣿⣿⣿⣿⣿⣿⣷⣄⠘⢆⠣⣄⠚⠷⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⣿⣿⣿⣿⣿⢻⣿⢎⢿⢿⢆⠀⠀⠉⠉⠛⠛⠻⠿⠦⠀⠀⠙⡗⢄⣌⠊⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⠇⣿⣿⣿⣿⠃⣼⠫⢿⣃⡙⠇⣤⣔⡲⣦⣤⣤⣶⣾⡇⡁⢢⠀⠐⢳⡼⣷⣌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢿⣿⡿⢇⠀⡳⢟⣻⣿⣿⣤⣹⣿⣿⣿⣿⣿⣿⣻⣇⣿⣦⣶⣄⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠘⢿⠀⣾⢠⣆⣈⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⢸⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼ ⠀⠀⣦⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿ ⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢛⠿⣿⣟⢿⢿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣾⣭⢹⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠼⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠙⠿⢿⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⡾⢿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣴⢤⠀⠀⠀⠹⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣿⠏⠡⠴⢶⣶⢶⣴⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠿⠷⣾⣽⣻⢷⣷⠭⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⠟⢱⢠⣙⣓⣛⠢⣌⣽⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⠿⠿⢩⣶⣶⢶⣞⣿⣿⣿⢿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠶⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠉⠉⠀⠀ ⢳⣲⢹⣯⢻⣻⣵⣾⡿⠁⣬⣭⣭⣽⣿⣿⣿⣿⣿⡿⠿⠟⠓⣀⣤⣶⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⣿⠿⠛⠛⠉⠀⠀⠀⠉⢘⣻⣿⣿⣿⣿⣿⠏⣱⣶⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿⠟⣠⣾⣿⣿⡿⣯⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⣀⡄⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⣧⢿⣄⢄⢰⢻⣶⣄⠀⠀⣿⠀⣿⠿⢸⣿⢸⣿⡇⢸⣟⣃⣿⡍⣿⠁⢸⣿⡿⣧⣿⣿⢸⣿⠸⣿⠃⢻⣾⣿⡏⣿⢹⡏⣿⣿⠀⣸⣿⢸⣿⡏⣿⠏⣿⠉⣿⣿⣿⢸⣿⡇⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⣿⡾⣿⣿⢿⠼⣿⡾⠶⠆⠿⠀⠻⠟⠿⠻⠿⠻⠇⠘⠿⠟⠿⠆⠿⠀⠸⠿⠇⠿⠹⠟⠿⠻⠇⠿⠀⠸⠟⠿⠇⠿⠸⠇⠿⠻⠀⠿⠻⠺⠻⠇⠻⠀⠻⠀⠿⠿⠻⠸⠛⠇⠻⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣷⣿⣿⣿⢞⣾⡟⢷⢾⣿⣿⣿⣿⣿⣷⡄⠐⠄⠂⣄⠒⠷⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⣿⣿⣿⣿⣿⢻⣿⢎⢿⣟⢂⠀⠀⠉⠉⠉⠛⠻⠿⠤⠀⠀⠙⡇⢄⣌⠊⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⠇⣿⣿⣿⡿⠁⣼⠫⣾⣃⡙⠇⣤⣔⡲⣦⣤⣤⣶⣾⡇⠁⢢⠀⠐⢳⡼⣷⣌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢿⣿⡿⢃⠀⡱⢟⣹⣿⣿⣤⣸⣿⣿⣿⣿⣿⣿⣻⣇⣿⣦⣶⣄⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠨⣿⠁⣾⢠⣆⣈⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⢸⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣬ ⠀⠀⣦⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿ ⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢛⠿⣿⣟⠿⢿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣾⣭⢹⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠰⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠛⠿⣿⣸⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠁⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡾⠽⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣴⢀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠠⠴⢶⣶⢶⣴⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠿⢶⣾⣽⣻⢷⣶⠽⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⠟⢡⢠⣙⣓⣒⠲⣌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠷⢡⣶⣶⣶⣞⣿⣿⣿⢿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠦⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠉⠉⠀⠀ ⢳⣒⢸⣿⢻⣛⣵⣶⡷⠁⢭⣭⣭⣿⣿⣿⣿⣿⣿⡿⠿⠟⠳⣂⣤⣶⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⣿⠿⠛⠛⠉⠀⠀⠀⠉⢙⣻⣿⣿⣿⣿⡿⠟⣱⣾⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⠿⠟⣠⣾⣿⣿⡿⣯⡷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⡐⡄⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⢿⡄⢀⢸⢹⣶⣄⠀⠀⣿⠀⣿⠿⢸⣿⢸⣿⡇⢸⣟⣃⣿⡍⣿⠁⢸⣿⡾⣧⣿⣿⢸⣿⠸⣿⠁⢻⣾⣿⡏⣿⢹⡏⣿⣿⠀⣸⣿⢸⣿⡏⣿⠏⣿⠉⣿⣿⣿⢸⣿⡇⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣿⣾⣿⣿⢿⠼⣿⡾⠶⠆⠿⠀⠻⠟⠿⠻⠿⠻⠇⠘⠿⠟⠿⠆⠿⠀⠸⠿⠇⠿⠹⠟⠿⠻⠇⠿⠀⠸⠟⠿⠇⠿⠸⠇⠿⠻⠀⠿⠻⠺⠻⠇⠻⠀⠻⠀⠿⠿⠻⠸⠛⠇⠻⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣷⣿⣿⣿⢾⣾⡟⢷⣾⣿⣿⣿⣿⣿⣷⡄⠐⠄⠢⣄⠒⠷⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⣿⣿⣿⣿⣿⢻⣿⢎⢿⣏⢀⠀⠀⠉⠉⠉⠛⠟⠿⠤⠀⠀⠙⡇⢄⣌⠊⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠇⣿⣿⣿⣿⠁⣼⠫⣾⣃⡙⠆⣤⣔⡲⣦⣤⣤⣶⣾⡇⠁⢢⠀⠐⢳⡼⣷⣌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢿⣿⡿⢃⠀⡱⢟⣻⣿⣿⣦⣸⣿⣿⣿⣿⣿⣿⣻⣇⣿⣦⣶⣄⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠨⣿⠀⣾⢠⣆⣈⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⢸⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼ ⠀⠀⣦⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿ ⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢛⠿⣿⣟⠿⢿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣾⣭⢹⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠰⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠛⠿⣿⣸⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠁⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⡺⠽⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣴⢀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⠏⠠⠴⢶⣶⢶⣶⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠿⢶⣾⣽⣻⢷⣶⠭⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⠟⢡⢠⣙⣓⣒⠢⣌⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠯⠧⢡⣶⣶⣶⣞⣿⣿⣿⢿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠦⠦⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠉⠉⠀⠀ ⢳⣐⢸⣿⢻⣛⣵⣶⡷⠁⢭⣭⣭⣿⣿⣿⣿⣿⣿⡿⠿⠟⠳⣂⣤⣶⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⣿⠿⠛⠛⠉⠀⠀⠀⠉⢉⣻⣿⣿⣿⣿⣿⠟⣱⣾⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿⠟⣠⣾⣿⣿⡿⣯⡷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⡐⡄⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⢿⡄⢀⢸⢹⣶⣄⠀⠀⣿⠀⣿⠿⢸⣿⢸⣿⡇⢸⣟⣃⣿⡍⣿⠁⢸⣿⡾⣧⣿⣿⢸⣿⠸⣿⠃⢻⣾⣿⡏⣿⢹⡏⣿⣿⠀⣸⣿⢸⣿⡏⣿⠏⣿⠉⣿⣿⣿⢸⣿⡇⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⣿⣾⣿⣿⢿⠼⣿⡾⠶⠆⠿⠀⠻⠟⠿⠻⠿⠻⠇⠘⠿⠟⠿⠆⠿⠀⠸⠿⠇⠿⠹⠟⠿⠻⠇⠿⠀⠸⠟⠿⠇⠿⠸⠇⠿⠻⠀⠿⠻⠺⠻⠇⠻⠀⠻⠀⠿⠿⠻⠸⠛⠇⠻⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣟⠿⣿⣿⣿⣿⣿⣿⣷⡄⠐⠆⠢⣄⠒⠷⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⣿⣿⣿⣿⣿⢻⣿⢌⢿⣟⢂⠀⠀⠉⠉⠛⠛⠿⠿⠦⠀⠀⠙⠇⠄⣌⠊⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠇⣿⣿⣿⡿⠃⣼⠫⣾⣃⡙⠇⣤⣔⡲⣦⣤⣤⣶⣾⡇⡁⢢⠀⠐⢳⡼⣷⣌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢿⣿⡿⢃⠀⡳⢟⣻⣿⣿⣤⣸⣿⣿⣿⣿⣿⣿⣻⣇⣿⣦⣶⣄⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠘⣿⠁⣾⢠⣆⣈⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⢸⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼ ⠀⠀⣦⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿ ⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢛⠿⣿⣟⠿⠿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣶⣭⢱⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠛⠿⠿⣸⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⡾⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣴⢤⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠠⠴⢶⣶⢖⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠾⠿⠿⣮⣽⣻⢷⣶⠭⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⠛⢡⢠⣙⣓⣒⠢⣌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⢰⣶⣶⣶⣖⣿⣿⡿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠶⠦⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠉⠉⠀⠀ ⢳⣰⢸⣿⢻⣛⣵⣶⡷⠁⣬⣭⣭⣿⣿⣿⣿⣿⣿⡿⠿⠛⢒⣀⣤⣶⣿⣿⣿⣿⣿⣷⣻⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⣿⠿⠛⠛⠉⠀⠀⠀⠉⢙⣫⣿⣿⣿⣿⡿⢟⣵⡾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠛⠇⣠⣾⣿⢿⢯⣿⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⡐⡄⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠈⠈⠀⠈⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⢿⣄⢀⢸⢹⣶⣄⠀⠀⣿⠀⣿⠿⢸⣿⢸⣿⡇⢸⣟⣃⣿⡍⣿⠁⢸⣿⡾⣧⣿⣿⢸⣿⠸⣿⠁⢻⣾⣿⡏⣿⢹⡏⣿⣿⠀⣸⣿⢸⣿⡏⣿⠏⣿⠉⣿⣿⣿⢸⣿⡇⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣿⣾⣿⣿⢾⠼⣿⡾⠶⠆⠿⠀⠻⠟⠿⠻⠿⠻⠇⠘⠿⠟⠿⠆⠿⠀⠸⠿⠇⠿⠹⠟⠿⠻⠇⠿⠀⠸⠟⠿⠇⠿⠸⠇⠿⠻⠀⠿⠻⠺⠻⠇⠻⠀⠻⠀⠿⠿⠻⠸⠛⠇⠻⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣟⠿⣿⣿⣿⣿⣿⣿⣷⡄⠐⠆⠢⣄⠚⠷⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣾⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⣿⣿⣿⣿⣿⢻⣿⢎⢿⣟⢂⠀⠀⠈⠉⠘⠛⠿⠿⠦⠀⠀⠙⡇⢄⣌⠊⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠃⣿⣿⣿⣿⠃⣸⠫⣿⣃⡙⠇⣤⣔⡲⣦⣤⣤⣶⣾⡇⡁⢢⠀⠐⢳⡼⣷⣌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢿⣿⡿⢇⠀⡳⢛⣻⣿⣿⣦⣸⣿⣿⣿⣿⣿⣿⣻⣇⣿⣦⣶⣄⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠈⣿⢀⡿⢠⣆⣈⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⢸⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴ ⠀⠀⣦⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿ ⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢛⠿⣿⣟⠻⠿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢻⣿⣶⣭⢹⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠐⠛⠿⠿⣼⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣴⢦⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠏⠡⢶⣶⣾⣿⣾⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠿⠿⠿⣾⣽⣻⢷⣦⠝⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⠛⢡⢠⣙⣓⣚⠲⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠏⢼⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠶⠶⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠉⠉⠀⠀ ⢳⣖⢹⣯⢻⣿⣵⣶⡿⠡⢭⣭⣭⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⡿⠿⠛⠛⠉⠀⠀⠀⠉⢙⣻⣿⣿⣿⣿⣿⠟⣩⣾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⠿⠟⣠⣶⣿⣿⣟⣿⠾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⣐⡄⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠈⠈⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣿⡄⢀⢸⢻⣶⣄⠀⠀⣿⠀⣿⠿⢸⣿⢸⣿⡇⢸⣟⣃⣿⡍⣿⠁⢸⣿⡿⣧⣿⣿⢸⣿⠸⣿⠁⢻⣾⣿⡏⣿⢹⡏⣿⣿⠀⣸⣿⢸⣿⡏⣿⠏⣿⠉⣿⣿⣿⢸⣿⡇⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢿⣾⣿⣿⢾⠼⣿⡾⠶⠆⠿⠀⠻⠟⠿⠻⠿⠻⠇⠘⠿⠟⠿⠆⠿⠀⠸⠿⠇⠿⠹⠟⠿⠻⠇⠿⠀⠸⠟⠿⠇⠿⠸⠇⠿⠻⠀⠿⠻⠺⠻⠇⠻⠀⠻⠀⠿⠿⠻⠸⠛⠇⠻⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡟⠿⣿⣿⣿⣿⣿⣿⣷⡄⠐⢆⠢⣄⠚⠷⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣾⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⣿⣿⣿⣿⣿⢻⣿⢎⢿⣟⢂⠀⠀⠈⠉⠊⠛⠿⠿⠤⠀⠀⠙⠗⢄⣌⠪⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠇⣿⣿⣿⣿⠃⣜⠯⢿⣃⡙⠇⣤⣔⡲⣦⣤⣤⣶⣾⡇⡁⢢⠀⠐⢳⡼⣷⣌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢿⣿⡿⢇⠀⡳⢛⣻⣿⣿⣦⣹⣿⣿⣿⣿⣿⣿⣻⣇⣿⣧⣶⣄⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠨⣿⢀⡿⢠⣆⣈⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⢸⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴ ⠀⠀⣦⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿ ⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢛⠿⣿⣟⠻⠿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢻⣿⣶⣭⢹⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠛⠿⣿⣼⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠈⠀⢀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣴⢄⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠎⠡⢶⣶⣾⣿⣾⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠿⠿⠿⣾⣽⣻⢷⣦⠝⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⠛⢡⢠⣙⣓⡚⠲⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⢼⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠶⠶⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠉⠉⠀⠀ ⢳⣖⢹⣯⢻⣻⣵⣾⡿⠡⢬⣭⣭⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⣿⠿⠛⠛⠉⠀⠀⠀⠉⢙⣻⣿⣿⣿⣿⣿⠿⢫⣾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿⠟⣠⣶⣿⣿⣟⣿⠾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⣐⡄⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠈⠈⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣿⡄⢄⢸⢻⣶⣄⠀⠀⣿⠀⣿⠿⢸⣿⢸⣿⡇⢸⣟⣃⣿⡍⣿⠁⢸⣿⡿⣧⣿⣿⢸⣿⠸⣿⠃⢻⣾⣿⡏⣿⢹⡏⣿⣿⠀⣸⣿⢸⣿⡏⣿⠏⣿⠉⣿⣿⣿⢸⣿⡇⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢿⣾⣿⣿⢿⠼⣿⡾⠶⠆⠿⠀⠻⠟⠿⠻⠿⠻⠇⠘⠿⠟⠿⠆⠿⠀⠸⠿⠇⠿⠹⠟⠿⠻⠇⠿⠀⠸⠟⠿⠇⠿⠸⠇⠿⠻⠀⠿⠻⠺⠻⠇⠻⠀⠻⠀⠿⠿⠻⠸⠛⠇⠻⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣟⢿⣿⣿⣿⣿⣿⣿⣷⣄⠐⠆⠢⣄⠚⢷⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣾⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⡿⣿⣿⣿⣿⣿⢻⣿⢎⢿⣟⢆⠀⠀⠈⠉⠙⠛⠿⠿⠦⠀⠀⠘⡇⢀⣌⠪⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠃⣿⣿⣿⣿⠃⣼⠯⢿⣃⡙⠇⣤⣔⡲⣦⣤⣤⣶⣾⡇⡁⢢⠀⠐⢳⡼⣷⣌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢿⣿⡿⢇⠀⡻⢛⣻⣿⣿⣦⣹⣿⣿⣿⣿⣿⣿⣻⣇⣿⣦⣶⣄⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠘⣿⢀⣿⢠⣆⣈⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⢸⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴ ⠀⠀⣦⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿ ⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢛⠿⣿⣟⠻⠿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢻⣿⣶⣭⢹⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠼⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠐⠛⠿⠿⣼⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠈⠀⢀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣼⢦⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢾⠏⠡⢶⣶⣾⣿⣾⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠿⠿⠿⣾⣽⣛⢶⣦⠝⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⠛⢡⢠⣙⣓⣒⠲⣬⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⢼⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠶⠶⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠉⠉⠀⠀ ⢳⣖⢹⣯⢻⣿⣵⣶⡿⠁⢭⣭⣭⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⣿⠿⠛⠛⠉⠀⠀⠀⠉⢙⢻⣿⣿⣿⣿⣿⠟⢫⣾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿⠟⣠⣶⣿⣿⣟⣿⠾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⣔⡄⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠈⠈⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣿⣄⢄⢸⢻⣶⣄⠀⠀⣿⠀⣿⠿⢸⣿⢸⣿⡇⢸⣟⣃⣿⡍⣿⠁⢸⣿⡿⣧⣿⣿⢸⣿⠸⣿⠃⢻⣾⣿⡏⣿⢹⡏⣿⣿⠀⣸⣿⢸⣿⡏⣿⠏⣿⠉⣿⣿⣿⢸⣿⡇⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢿⣾⣿⣿⢾⠼⣿⡾⠶⠆⠿⠀⠻⠟⠿⠻⠿⠻⠇⠘⠿⠟⠿⠆⠿⠀⠸⠿⠇⠿⠹⠟⠿⠻⠇⠿⠀⠸⠟⠿⠇⠿⠸⠇⠿⠻⠀⠿⠻⠺⠻⠇⠻⠀⠻⠀⠿⠿⠻⠸⠛⠇⠻⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣟⠿⣿⣿⣿⣿⣿⣿⣷⡄⠐⢆⠢⣄⠒⠷⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣼⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⣿⣿⣿⣿⣿⢻⣿⢌⢿⣟⢆⠀⠀⠈⠁⠘⠛⠿⠿⠦⠀⠀⠙⠇⢄⣌⠊⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠇⣿⣿⣿⣿⠃⣜⠫⢿⣃⡙⠆⣤⣔⡲⣦⣤⣤⣶⣾⡇⡁⢢⠀⠐⢳⡼⣷⣌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢿⣿⡿⢇⠀⡳⢋⣹⣿⣿⣦⣹⣿⣿⣿⣿⣿⣿⣻⣇⣿⣦⣶⣄⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠘⣿⢁⣾⢠⣆⣈⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⢸⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼ ⠀⠀⣦⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⣨⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿ ⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢛⠿⣿⣟⠻⠿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣶⣭⢱⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠛⠿⢿⣸⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣯⠃⠀⠀⠀⠂⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⡾⠿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣴⢤⠀⠀⠀⠹⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠿⣾⠏⠡⠶⢶⡶⢶⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠿⠿⠷⢶⣽⣻⢷⣦⠭⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⠛⢡⢠⣙⣓⣒⠲⣌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⢱⣶⣾⣶⣖⣯⣿⡿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠶⠦⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠉⠉⠀⠀ ⢳⣔⢹⣯⢻⣻⣵⣶⡿⠁⢬⣭⣭⣿⣿⣿⣿⣿⣿⡿⠿⠛⢒⣀⣤⣶⣾⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⣿⠿⠛⠛⠉⠀⠀⠀⠉⠙⣻⣿⣿⣿⣿⡿⢟⣵⡾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠿⠏⣠⣾⣿⢿⢯⣿⠾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⡄⡄⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠈⠈⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⢿⣄⢀⢸⢹⣶⣄⠀⠀⣿⠀⣿⠿⢸⣿⢸⣿⡇⢸⣟⣃⣿⡍⣿⠁⢸⣿⡾⣧⣿⣿⢸⣿⠸⣿⠁⢻⣾⣿⡏⣿⢹⡏⣿⣿⠀⣸⣿⢸⣿⡏⣿⠏⣿⠉⣿⣿⣿⢸⣿⡇⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢿⡾⣿⣿⢾⠼⣿⡾⠶⠆⠿⠀⠻⠟⠿⠻⠿⠻⠇⠘⠿⠟⠿⠆⠿⠀⠸⠿⠇⠿⠹⠟⠿⠻⠇⠿⠀⠸⠟⠿⠇⠿⠸⠇⠿⠻⠀⠿⠻⠺⠻⠇⠻⠀⠻⠀⠿⠿⠻⠸⠛⠇⠻⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣟⠿⣾⣿⣿⣿⣿⣿⣷⡄⠀⢆⠢⣄⠚⠷⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣼⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⣿⣿⣿⣿⣿⢻⣿⢎⢿⣟⠂⠀⠀⠈⠁⠉⠛⠿⠿⠦⠀⠀⠙⡗⢄⣌⠊⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠇⣿⣿⣿⣿⠃⣜⠫⢾⣃⡙⠆⣤⣔⡲⣦⣤⣤⣶⣾⡇⡁⢢⠀⠐⢳⡼⣷⡌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢿⣿⡿⢇⠀⡳⢋⣻⣿⣿⣦⣹⣿⣿⣿⣿⣿⣿⣻⣇⣿⣦⣶⣄⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠈⣿⢁⣾⢠⣆⣈⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼ ⠀⠀⣦⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⣨⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿ ⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢛⠿⣿⣟⠻⠿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣶⣭⢹⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠼⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠐⠛⠿⢿⣼⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠁⠀⠀⠀⠂⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⡾⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣼⢦⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣾⠏⠡⠶⢶⡶⢶⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠿⠿⠷⢶⣽⣻⢶⣦⠭⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⠛⢡⢠⣙⢓⣒⠲⣌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠞⢰⣶⣾⣶⣶⣯⣿⡿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠶⠦⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠉⠉⠀⠀ ⢳⣔⢹⣯⢻⣛⣵⣶⡿⠁⢬⣭⣭⣽⣿⣿⣿⣿⣿⡿⠿⠛⢒⣀⣤⣶⣾⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⣿⠿⠛⠛⠉⠀⠀⠀⠉⠙⣻⣿⣿⣿⣿⡿⢟⣵⡾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⠿⠇⣠⣾⣿⢿⢯⣿⠾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⡐⡄⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠈⠈⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⢿⣄⢀⢸⢹⣶⣄⠀⠀⣿⠀⣿⠿⢸⣿⢸⣿⡇⢸⣟⣃⣿⡍⣿⠁⢸⣿⡾⣧⣿⣿⢸⣿⠸⣿⠁⢻⣾⣿⡏⣿⢹⡏⣿⣿⠀⣸⣿⢸⣿⡏⣿⠏⣿⠉⣿⣿⣿⢸⣿⡇⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢿⡾⣿⣿⢿⠼⣿⡾⠶⠆⠿⠀⠻⠟⠿⠻⠿⠻⠇⠘⠿⠟⠿⠆⠿⠀⠸⠿⠇⠿⠹⠟⠿⠻⠇⠿⠀⠸⠟⠿⠇⠿⠸⠇⠿⠻⠀⠿⠻⠺⠻⠇⠻⠀⠻⠀⠿⠿⠻⠸⠛⠇⠻⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣟⠿⣾⣿⣿⣿⣿⣿⣷⡄⠀⢆⠢⣄⠚⠷⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⣿⣿⣿⣿⣿⢻⣿⢎⢿⣟⠂⠀⠀⠈⠉⠋⠛⠿⠿⠦⠀⠀⠙⠗⢄⣌⠊⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠇⣿⣿⣿⣿⠃⣜⠫⢾⣃⡙⠇⣤⣔⡲⣦⣤⣤⣶⣾⡇⡁⢢⠀⠀⢳⡼⣷⣌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢿⣿⡿⢇⠀⡹⢋⣻⣿⣿⣦⣹⣿⣿⣿⣿⣿⣿⣻⣇⣿⣦⣶⣄⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠈⣿⢁⣾⢠⣆⣈⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⣸⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼ ⠀⠀⣦⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿ ⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢛⠿⣿⣟⠿⢿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣶⣭⢹⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠐⠛⠿⢿⢸⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠃⠀⠈⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣾⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣤⢠⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⠿⣾⠏⠡⠶⢶⣶⢶⣶⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠾⠿⠷⢦⣽⣛⠷⣦⠭⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⠛⢡⢠⣙⣓⣒⠲⣌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⠿⠾⢡⣶⣶⣶⣞⣯⣿⣿⢿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠶⠦⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠉⠉⠀⠀ ⢳⣔⢹⣿⠻⣛⣵⣶⡿⠀⢬⣭⣭⣿⣿⣿⣿⣿⣿⡿⠟⠛⠒⣂⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⣿⠿⠛⠛⠉⠀⠀⠀⠉⠙⣻⣿⣿⣿⣿⡿⠏⣱⣶⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠿⠏⣠⣾⣿⣿⡿⣯⡷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣔⡄⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠁⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⢿⣄⢀⢨⢳⣶⣄⠀⠀⣿⠀⣿⠿⢸⣿⢸⣿⡇⢸⣟⣃⣿⡍⣿⠁⢸⣿⡾⣧⣿⣿⢸⣿⠸⣿⠃⢻⣾⣿⡏⣿⢹⡏⣿⣿⠀⣸⣿⢸⣿⡏⣿⠏⣿⠉⣿⣿⣿⢸⣿⡇⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢿⡾⣿⣿⢿⠼⣿⡾⠶⠆⠿⠀⠻⠟⠿⠻⠿⠻⠇⠘⠿⠟⠿⠆⠿⠀⠸⠿⠇⠿⠹⠟⠿⠻⠇⠿⠀⠸⠟⠿⠇⠿⠸⠇⠿⠻⠀⠿⠻⠺⠻⠇⠻⠀⠻⠀⠿⠿⠻⠸⠛⠇⠻⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣟⠿⣾⣿⣿⣿⣿⣿⣷⡄⠀⢆⠢⣄⠚⠷⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣾⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⣿⣿⣿⣿⣿⢻⣿⢌⢿⣟⠂⠀⠀⠈⠁⠛⠛⠿⠿⠦⠀⠀⠙⠇⢄⣌⠊⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠇⣿⣿⣿⣿⠃⣜⠫⢾⣃⡙⠇⣤⣔⡲⣦⣤⣤⣶⣾⡇⡁⢢⠀⠀⢳⡼⣷⣌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢿⣿⡿⢇⠀⡻⢋⣻⣿⣿⣦⣹⣿⣿⣿⣿⣿⣿⣻⣇⣿⣦⣶⣄⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠈⣿⢀⣿⢠⣆⣈⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⢸⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼ ⠀⠀⣦⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣨⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿ ⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢛⠿⣿⣟⠿⠿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣶⣭⢹⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠼⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠐⠛⠿⠿⣼⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠁⠀⠈⠀⢀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣿⠿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣬⢦⠀⠀⠀⠹⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠟⣾⠏⠡⠶⣶⣶⣷⣾⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠿⠿⠷⣾⣽⣻⢷⣦⠝⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⠛⢡⢠⣙⢃⣒⠲⣌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⢸⣿⣿⣿⣻⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠶⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠉⠉⠀⠀ ⢳⣔⢹⣿⢻⣻⣵⣶⡿⠁⢬⣭⣭⣿⣿⣿⣿⣿⣿⣿⠿⠛⠒⣠⣴⣾⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⡿⠿⠛⠛⠉⠀⠀⠀⠉⠑⣻⣿⣿⣿⣿⣿⠿⣡⣾⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠿⠟⣠⣶⣿⣿⣟⣽⠶⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⣔⡄⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠈⠈⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣿⣄⢄⢸⢻⣶⣄⠀⠀⣿⠀⣿⠿⢸⣿⢸⣿⡇⢸⣟⣃⣿⡍⣿⠁⢸⣿⡾⣧⣿⣿⢸⣿⠸⣿⠁⢻⣾⣿⡏⣿⢹⡏⣿⣿⠀⣸⣿⢸⣿⡏⣿⠏⣿⠉⣿⣿⣿⢸⣿⡇⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢿⣾⣿⣿⢿⠼⣿⡾⠶⠆⠿⠀⠻⠟⠿⠻⠿⠻⠇⠘⠿⠟⠿⠆⠿⠀⠸⠿⠇⠿⠹⠟⠿⠻⠇⠿⠀⠸⠟⠿⠇⠿⠸⠇⠿⠻⠀⠿⠻⠺⠻⠇⠻⠀⠻⠀⠿⠿⠻⠸⠛⠇⠻⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠿⣾⣿⣿⣿⣿⣿⣷⡄⠐⢆⠢⣄⠚⠷⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⣿⣿⣿⣿⣿⢻⣿⢌⢿⣟⠂⠀⠀⠈⠉⠉⠛⠿⠿⠤⠀⠀⠙⠗⢄⣌⠊⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠃⣿⣿⣿⣿⠃⣜⠫⢾⣃⡙⠆⣤⣔⡲⣦⣤⣤⣶⣾⡇⡁⢢⠀⠐⢳⡼⣷⡌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢿⣿⡿⢇⠀⡻⢋⣻⣿⣿⣦⣹⣿⣿⣿⣿⣿⣿⣻⣇⣿⣦⣶⣄⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠘⡿⢁⣾⢠⣆⣈⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼ ⠀⠀⣦⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿ ⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢛⠿⣿⣟⠿⠿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣶⣭⢱⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠼⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠐⠛⠿⡿⣼⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠃⠀⠈⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⡾⠿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣬⢦⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣾⠇⠣⠶⢶⡶⢶⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠷⢾⣽⣻⢷⣦⠽⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⠛⢡⢠⣙⣓⣒⠲⣌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⢰⣶⣾⣶⣖⣯⣿⡿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠶⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠉⠉⠀⠀ ⢳⣔⢹⣯⢻⣛⣵⣶⡿⠁⢬⣭⣭⣽⣿⣿⣿⣿⣿⡿⠿⠛⢒⣀⣤⣶⣾⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⣿⠿⠛⠛⠉⠀⠀⠀⠉⠙⣻⣿⣿⣿⣿⡿⢟⣴⡾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⠿⠇⣠⣾⣿⢿⢯⣿⠾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⣔⡄⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠈⠈⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⢿⣄⢀⢸⢻⣶⣄⠀⠀⣿⠀⣿⠿⢸⣿⢸⣿⡇⢸⣟⣃⣿⡍⣿⠁⢸⣿⡾⣧⣿⣿⢸⣿⠸⣿⠁⢻⣾⣿⡏⣿⢹⡏⣿⣿⠀⣸⣿⢸⣿⡏⣿⠏⣿⠉⣿⣿⣿⢸⣿⡇⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢿⣾⣿⣿⢿⠼⣿⡾⠶⠆⠿⠀⠻⠟⠿⠻⠿⠻⠇⠘⠿⠟⠿⠆⠿⠀⠸⠿⠇⠿⠹⠟⠿⠻⠇⠿⠀⠸⠟⠿⠇⠿⠸⠇⠿⠻⠀⠿⠻⠺⠻⠇⠻⠀⠻⠀⠿⠿⠻⠸⠛⠇⠻⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣟⠿⣿⣿⣿⣿⣿⣿⣷⡄⠀⢆⠢⣄⠚⠷⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⣿⣿⣿⣿⣿⢻⣿⠌⢿⣟⠂⠀⠀⠈⠁⠛⠛⠿⠿⠦⠀⠀⠙⠗⢄⣌⠊⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⠇⣿⣿⣿⣿⠃⣜⠫⣾⣃⡙⠆⣤⣔⡲⣦⣤⣤⣶⣾⡇⡁⢢⠀⠐⢳⡼⣷⣌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢿⣿⡿⢇⠀⡳⢋⣹⣿⣿⣦⣸⣿⣿⣿⣿⣿⣿⣻⣇⣿⣦⣶⣄⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠘⣿⠀⣾⢠⣆⣈⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⢸⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼ ⠀⠀⣦⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿ ⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢛⠿⣿⣟⠿⢿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣾⣭⢹⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠼⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠐⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠐⠛⠿⢿⢸⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠃⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣾⠽⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣤⢠⡀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢾⠇⠡⠶⢶⣶⢶⣴⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠷⢮⣽⣻⢷⣧⠽⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⠛⢡⢠⣙⣓⣒⠲⣌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⢳⣶⣶⣶⣟⣯⣿⣿⢿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠶⠦⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠉⠉⠀⠀ ⢳⣖⢹⣯⠻⣻⣵⣶⡿⠁⢬⣭⣭⣽⣿⣿⣿⣿⣿⡿⠿⠛⠓⣂⣤⣶⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⣿⠿⠟⠛⠉⠀⠀⠀⠉⢙⣻⣿⣿⣿⣿⡿⠞⣱⡶⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⠿⠞⣠⣾⣿⣿⡿⣯⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⡄⡄⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⢿⣄⢀⢸⢹⣶⣄⠀⠀⣿⠀⣿⠿⢸⣿⢸⣿⡇⢸⣟⣃⣿⡍⣿⠁⢸⣿⡾⣧⣿⣿⢸⣿⠸⣿⠃⢻⣾⣿⡏⣿⢹⡏⣿⣿⠀⣸⣿⢸⣿⡏⣿⠏⣿⠉⣿⣿⣿⢸⣿⡇⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢿⣾⣿⣿⢿⠼⣿⡾⠶⠆⠿⠀⠻⠟⠿⠻⠿⠻⠇⠘⠿⠟⠿⠆⠿⠀⠸⠿⠇⠿⠹⠟⠿⠻⠇⠿⠀⠸⠟⠿⠇⠿⠸⠇⠿⠻⠀⠿⠻⠺⠻⠇⠻⠀⠻⠀⠿⠿⠻⠸⠛⠇⠻⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠿⣿⣿⣿⣿⣿⣿⣿⣄⠀⢆⠲⣄⠚⠶⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⢻⣿⢎⢿⣟⠆⠀⠀⠈⠉⠙⠛⠟⠿⠦⠀⠀⠙⡗⢄⣌⠊⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⡇⣿⣿⣿⣿⠃⣼⠫⣾⣃⡙⠇⣤⣔⡲⣦⣤⣤⣶⣾⡇⡀⢢⠀⠐⢳⡼⣷⣌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢿⣿⡿⢇⠀⡹⢋⣻⣿⣿⣦⣸⣿⣿⣿⣿⣿⣿⣻⣇⣿⣦⣶⣄⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠈⣻⠁⣾⢠⣆⣈⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⢸⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼ ⠀⠀⣦⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿ ⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢛⠿⣿⣟⠿⢿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣾⣭⢹⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠰⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠛⠿⢿⢸⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠁⠀⠈⠀⠀⣾⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢔⣾⢿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣤⠠⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⠿⢿⠎⠠⠴⢶⣶⢶⣴⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠿⠷⢾⣽⣻⢷⣶⠭⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⠛⢡⢠⢙⣓⣒⠲⢌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡿⠿⠿⢣⣶⣶⣶⣟⣿⣿⣿⢿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠴⠦⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠉⠉⠀⠀ ⢻⡔⢹⣷⠛⣛⣵⣶⡷⠁⢬⣭⣭⣿⣿⣿⣿⣿⣿⡿⠿⠛⠓⣂⣤⣶⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⣿⠿⠛⠛⠉⠀⠀⠀⠉⠙⣻⣿⣿⣿⣿⡿⠟⣡⣶⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⠿⠟⣠⣾⣿⣿⡿⣯⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⡄⡄⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠈⠁⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⢿⣄⢄⢰⢹⣶⣄⠀⠀⣿⠀⣿⠿⢸⣿⢸⣿⡇⢸⣟⣃⣿⡍⣿⠁⢸⣿⡾⣧⣿⣿⢸⣿⠸⣿⠃⢻⣾⣿⡏⣿⢹⡏⣿⣿⠀⣸⣿⢸⣿⡏⣿⠏⣿⠉⣿⣿⣿⢸⣿⡇⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢿⡾⣿⣿⢿⠼⣿⡶⠶⠆⠿⠀⠻⠟⠿⠻⠿⠻⠇⠘⠿⠟⠿⠆⠿⠀⠸⠿⠇⠿⠹⠟⠿⠻⠇⠿⠀⠸⠟⠿⠇⠿⠸⠇⠿⠻⠀⠿⠻⠺⠻⠇⠻⠀⠻⠀⠿⠿⠻⠸⠛⠇⠻⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣟⠿⣿⣿⣿⣿⣿⣿⣿⣄⠀⢆⠲⣄⠚⠶⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣾⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⣿⣿⣿⣿⣿⢻⣿⢎⢿⣟⢆⠀⠀⠈⠉⠘⠛⠿⠿⠦⠀⠀⠙⡗⢄⣌⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠃⣿⣿⣿⣿⠃⣼⠫⣾⣃⡙⠆⣤⣔⡲⣦⣤⣴⣶⣾⡇⡀⢢⠀⠀⢳⡼⣷⣌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢿⣿⡿⢇⠀⡵⢋⣻⣿⣿⣤⣹⣿⣿⣿⣿⣿⣿⣿⣇⣿⣦⣶⣄⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠈⢿⢀⣿⢠⣆⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⢸⣡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼ ⠀⠀⣦⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣨⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿ ⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢛⠿⣿⣟⠻⠿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣾⣭⢹⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠼⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠛⠿⠿⣼⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠁⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣤⠤⡀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⢿⠏⠡⢶⣶⣶⣻⣾⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠶⠿⠷⣮⣽⣻⢷⡧⠝⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⠛⢡⢠⣙⣓⣚⠲⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠶⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠉⠉⠀⠀ ⢳⣾⢹⣿⢻⣛⣵⣾⡿⠁⢮⣭⣭⣿⣿⣿⣿⣿⣿⣿⠿⠛⠒⣠⣴⣾⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⠿⡿⠿⠛⠛⠉⠀⠀⠀⠉⠙⣻⣿⣿⣿⣿⣿⠿⣡⣾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⠿⠟⣢⣶⣿⣿⣟⣽⠾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⡄⡄⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠈⠈⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣿⣄⢄⢸⢻⣶⣄⠀⠀⣿⠀⣿⠿⢸⣿⢸⣿⡇⢸⣟⣃⣿⡍⣿⠁⢸⣿⡾⣧⣿⣿⢸⣿⠸⣿⠁⢻⣾⣿⡏⣿⢹⡏⣿⣿⠀⣸⣿⢸⣿⡏⣿⠏⣿⠉⣿⣿⣿⢸⣿⡇⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢿⡾⣿⣿⢿⠼⣿⡾⠶⠆⠿⠀⠻⠟⠿⠻⠿⠻⠇⠘⠿⠟⠿⠆⠿⠀⠸⠿⠇⠿⠹⠟⠿⠻⠇⠿⠀⠸⠟⠿⠇⠿⠸⠇⠿⠻⠀⠿⠻⠺⠻⠇⠻⠀⠻⠀⠿⠿⠻⠸⠛⠇⠻⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠿⣿⣿⣿⣿⣿⣿⣷⡄⠐⢆⠲⣄⠚⠶⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣾⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⣿⣿⣿⣿⣿⢻⣿⢌⢿⣟⢆⠈⠀⠈⠉⠘⠛⠿⠿⠦⠀⠀⠙⡗⢄⣌⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠃⣿⣿⣿⣿⠃⣜⠫⣞⣃⡙⠇⣤⣔⡲⣦⣤⣴⣶⣾⡇⡁⢢⠀⠀⢳⡼⣷⣌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢿⣿⡿⢇⠀⡵⢋⣻⣿⣿⣦⣹⣿⣿⣿⣿⣿⣿⣿⣇⣿⣦⣶⣄⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠘⢿⢀⣿⢠⣆⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⢸⣡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼ ⠀⠀⣦⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣨⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿ ⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢛⠿⣿⣟⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣾⣭⢹⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠼⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠐⠛⠿⠿⣼⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠁⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⣿⠿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣤⠤⡀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⠏⠡⢶⣶⣶⣻⣾⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠷⠿⠿⣾⣽⣻⢶⡧⠝⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⢛⢡⢰⢙⣓⣒⠲⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠶⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠉⠉⠀⠀ ⢳⣺⢹⣿⢻⣛⣵⣾⡿⠀⢬⣭⣭⣿⣿⣿⣿⣿⣿⡿⠿⠛⠒⣠⣴⣾⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⠿⡿⠿⠛⠛⠉⠀⠀⠀⠉⠙⣻⣿⣿⣿⣿⡿⠟⣡⣾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠿⠟⣠⣶⣿⣿⣟⣽⠞⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⡔⡄⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠈⠀⠀⠈⠈⠉⠉⠉⠉⠉⠉⠉⠉⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⣿⣄⢀⢸⢻⣶⣄⠀⠀⣿⠀⣿⠿⢸⣿⢸⣿⡇⢸⣟⣃⣿⡍⣿⠁⢸⣿⡾⣧⣿⣿⢸⣿⠸⣿⠁⢻⣾⣿⡏⣿⢹⡏⣿⣿⠀⣸⣿⢸⣿⡏⣿⠏⣿⠉⣿⣿⣿⢸⣿⡇⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢿⡾⣿⣿⢾⠼⣿⡾⠶⠆⠿⠀⠻⠟⠿⠻⠿⠻⠇⠘⠿⠟⠿⠆⠿⠀⠸⠿⠇⠿⠹⠟⠿⠻⠇⠿⠀⠸⠟⠿⠇⠿⠸⠇⠿⠻⠀⠿⠻⠺⠻⠇⠻⠀⠻⠀⠿⠿⠻⠸⠛⠇⠻⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣟⠿⣿⣿⣿⣿⣿⣿⣿⣄⠀⢦⠲⣄⠚⠶⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⢻⣿⢎⢿⣟⠆⠀⠀⠈⠈⠋⠛⠿⠿⠦⠀⠀⠙⡗⢄⣌⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⠇⣿⣿⣿⣿⠃⣜⠫⣞⣃⡙⠇⣤⣔⡲⣦⣤⣤⣶⣾⡇⡀⢢⠀⠀⢳⡼⣷⣌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢿⣿⡿⢇⠀⡱⢋⣻⣿⣿⣤⣹⣿⣿⣿⣿⣿⣿⣿⣇⣿⣦⣶⣄⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠨⢿⠁⣾⢠⣆⣈⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⢸⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼ ⠀⠀⣦⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿ ⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢛⠿⣿⣟⠿⢿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣾⣭⢹⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠼⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠛⠻⢿⢸⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣾⠿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣤⢤⡀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⢿⠏⠡⠶⢶⣶⢖⣴⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠶⠿⠷⣾⣽⣻⢷⣷⠭⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⠛⢡⢰⣙⣓⣚⠲⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⢳⣶⣶⢶⣟⣿⣿⣿⢿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠶⠶⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠉⠉⠀⠀ ⢳⡖⢹⣿⢻⣻⣵⣶⡿⠁⢬⣭⣭⣽⣿⣿⣿⣿⣿⡿⠿⠛⠓⣂⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⣿⠿⠛⠛⠉⠀⠀⠀⠈⠙⣻⣿⣿⣿⣿⡿⠞⣱⣶⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⠿⠟⣠⣾⣿⣿⡿⣯⡷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⡀⡄⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⢿⣄⢀⢸⢹⣶⣄⠀⠀⣿⠀⣿⠿⢸⣿⢸⣿⡇⢸⣟⣃⣿⡍⣿⠁⢸⣿⡾⣧⣿⣿⢸⣿⠸⣿⠃⢻⣾⣿⡏⣿⢹⡏⣿⣿⠀⣸⣿⢸⣿⡏⣿⠏⣿⠉⣿⣿⣿⢸⣿⡇⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢿⡾⣿⣿⢿⠼⣿⡾⠶⠆⠿⠀⠻⠟⠿⠻⠿⠻⠇⠘⠿⠟⠿⠆⠿⠀⠸⠿⠇⠿⠹⠟⠿⠻⠇⠿⠀⠸⠟⠿⠇⠿⠸⠇⠿⠻⠀⠿⠻⠺⠻⠇⠻⠀⠻⠀⠿⠿⠻⠸⠛⠇⠻⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⢿⣾⣟⠿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠆⠲⣄⠚⠶⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣼⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⢻⣿⢌⢿⣟⠆⠀⠀⠈⠁⠋⠛⠿⠿⠦⠀⠀⠙⠗⢄⣌⠨⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠇⣿⣿⣿⣿⠃⣜⠫⣞⣃⡙⠇⣤⣔⡲⣦⣤⣤⣶⣾⡇⡁⢢⠀⠀⢳⡼⣷⣌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢿⣿⡿⢇⠀⡱⢋⣻⣿⣿⣤⣹⣿⣿⣿⣿⣿⣿⣿⣇⣿⣦⣶⣄⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠘⠿⠁⣾⢠⣆⣈⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢨⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴ ⠀⠀⣦⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿ ⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢛⠿⣿⣟⠿⠿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣶⣭⢱⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠼⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠛⠿⠿⣸⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠁⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣾⠿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣤⠤⡀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⠏⠡⠶⣶⣶⢖⣾⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠾⠷⢾⣽⣻⢷⣶⠭⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⠛⢡⢰⣙⣓⣚⠲⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⢰⣶⣶⣶⣖⣿⣿⡿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠶⠦⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠉⠉⠀⠀ ⢳⡖⢹⣿⢻⣻⣵⣶⡿⠁⢨⣭⣭⣿⣿⣿⣿⣿⣿⡿⠿⠛⢶⣀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⣿⠿⠛⠛⠉⠀⠀⠀⠉⢙⣻⣿⣿⣿⣿⡿⢏⣴⡾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠟⠇⣠⣾⣿⢿⢯⣽⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⡄⡄⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠈⠈⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⢿⣄⢀⢸⢹⣶⣄⠀⠀⣿⠀⣿⠿⢸⣿⢸⣿⡇⢸⣟⣃⣿⡍⣿⠁⢸⣿⡾⣧⣿⣿⢸⣿⠸⣿⠁⢻⣾⣿⡏⣿⢹⡏⣿⣿⠀⣸⣿⢸⣿⡏⣿⠏⣿⠉⣿⣿⣿⢸⣿⡇⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢿⡾⣿⣿⢿⠼⣿⡾⠶⠆⠿⠀⠻⠟⠿⠻⠿⠻⠇⠘⠿⠟⠿⠆⠿⠀⠸⠿⠇⠿⠹⠟⠿⠻⠇⠿⠀⠸⠟⠿⠇⠿⠸⠇⠿⠻⠀⠿⠻⠺⠻⠇⠻⠀⠻⠀⠿⠿⠻⠸⠛⠇⠻⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢷⣿⣿⣿⣿⣿⣿⣿⡄⠐⢆⠲⣄⠚⠶⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⣿⣿⣿⣿⣿⢻⣿⢎⢿⣟⠆⠈⠀⠈⠁⠋⠛⠿⠿⠦⠀⠀⠙⡗⢄⣌⠪⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⠇⣿⣿⣿⣿⠃⣼⠫⣞⣃⡙⠇⣤⣔⡲⣦⣤⣤⣶⣾⡇⡁⢢⠀⠐⢳⡼⣷⣌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⢿⣿⡿⢇⠀⡱⢋⣻⣿⣿⣦⣹⣿⣿⣿⣿⣿⣿⣿⣇⣿⣦⣶⣄⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠨⢿⠁⣾⢠⣆⣈⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⢸⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼ ⠀⠀⣦⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿ ⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢛⡿⣿⣟⠿⢿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣾⣭⢹⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠼⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠛⠿⠿⣸⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠉⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠁⠀⠀⠁⠀⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣾⢿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣤⠤⡀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⢿⢿⠏⠡⠶⣶⣶⢶⣴⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠾⠿⠷⢾⣽⣻⢷⣷⠭⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⣴⠛⢡⢠⣙⣓⣚⠲⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⢱⣶⣶⢶⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠦⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠉⠉⠀⠀ ⢳⡖⢹⣿⢻⣻⣵⣶⡷⠁⢬⣭⣭⣿⣿⣿⣿⣿⣿⡿⠟⠛⠓⣂⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⣿⠿⠛⠛⠉⠀⠀⠀⠉⠉⣻⣿⣿⣿⣿⡿⠟⣱⣶⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⠿⠟⣠⣾⣿⣿⡟⣯⡷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⡄⡄⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⢿⣄⢀⢸⢹⣶⣄⠀⠀⣿⠀⣿⠿⢸⣿⢸⣿⡇⢸⣟⣃⣿⡍⣿⠁⢸⣿⡾⣧⣿⣿⢸⣿⠸⣿⠃⢻⣾⣿⡏⣿⢹⡏⣿⣿⠀⣸⣿⢸⣿⡏⣿⠏⣿⠉⣿⣿⣿⢸⣿⡇⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢿⡾⣿⣿⢿⠼⣿⡾⠶⠆⠿⠀⠻⠟⠿⠻⠿⠻⠇⠘⠿⠟⠿⠆⠿⠀⠸⠿⠇⠿⠹⠟⠿⠻⠇⠿⠀⠸⠟⠿⠇⠿⠸⠇⠿⠻⠀⠿⠻⠺⠻⠇⠻⠀⠻⠀⠿⠿⠻⠸⠛⠇⠻⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣟⢷⣿⣿⣿⣿⣿⣿⣿⣄⠀⠆⠳⣄⠚⠶⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡟⣿⣿⣿⣿⣿⢻⣿⢎⢿⣟⢆⠈⠀⠈⠁⠙⠛⠿⠿⠦⠀⠀⠙⡗⢆⣌⠊⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣸⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠃⣿⣿⣿⣿⠃⣼⠳⣟⣂⡙⠇⣤⣔⡶⣦⣤⣤⣶⣾⡇⡁⢢⠀⠀⢳⡼⣷⣌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⠀⢿⣿⡿⢏⠀⡽⢋⣻⣿⣿⣤⣹⣿⣿⣿⣿⣿⣿⣿⣇⣿⣷⣶⣄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠸⢿⢀⣾⢠⣆⣈⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⣡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼ ⠀⠀⣆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿ ⠀⠀⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢻⠿⣿⣟⠿⢿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣶⣭⢹⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠜⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠐⠛⠿⠟⣼⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠉⠽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠁⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢐⣿⠿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣤⢤⡀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⠏⠠⠶⣶⡶⣢⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠺⠿⠷⣾⣽⣻⢷⡯⠽⠻⣿⣿⣿⣿⣿⣿⣿⣿⡿ ⡼⢋⢡⢠⣙⣓⣛⠒⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⢰⣿⣿⣷⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠶⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠋⠉⠁⠀⠀ ⢣⡿⢻⣿⢻⣻⣷⣶⡷⠁⢭⣭⣭⣿⣿⣿⣿⣿⣿⡿⠿⠛⠳⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⡿⠿⠛⠛⠉⠀⠀⠀⠉⢙⣻⣿⣿⣿⣿⡿⠟⣱⣾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿⠟⣠⣶⣿⢿⢿⣿⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⣀⡄⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠈⠈⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⢿⣄⢄⠀⢻⣶⣄⠀⠀⣿⠀⣿⠿⢸⣿⢸⣿⡇⢸⣟⣃⣿⡍⣿⠁⢸⣿⡾⣧⣿⣿⢸⣿⠸⣿⠁⢻⣾⣿⡏⣿⢹⡏⣿⣿⠀⣸⣿⢸⣿⡏⣿⠏⣿⠉⣿⣿⣿⢸⣿⡇⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢿⣾⣿⣿⢷⠼⣿⡾⠶⠆⠿⠀⠻⠟⠿⠻⠿⠻⠇⠘⠿⠟⠿⠆⠿⠀⠸⠿⠇⠿⠹⠟⠿⠻⠇⠿⠀⠸⠟⠿⠇⠿⠸⠇⠿⠻⠀⠿⠻⠺⠻⠇⠻⠀⠻⠀⠿⠿⠻⠸⠛⠇⠻⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢷⣿⣿⣿⣿⣿⣿⣿⣄⠀⠆⠳⣄⠚⠶⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡟⣿⣿⣿⣿⣿⢻⣿⢌⢿⣟⢆⠈⠀⠈⠁⠙⠛⠿⠿⠦⠀⠀⠙⡗⢄⣌⠊⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣸⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠃⣿⣿⣿⣿⠃⣼⠳⣟⣃⡙⠇⣤⣔⡶⣦⣤⣤⣶⣾⡇⡁⢢⠀⠐⢳⡼⣷⣌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⠀⢿⣿⡿⢇⠀⡽⢛⣻⣿⣿⣤⣹⣿⣿⣿⣿⣿⣿⣿⣇⣿⣷⣶⣄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠸⢿⢀⣾⢠⣆⣈⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⣸⣡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴ ⠀⠀⣆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿ ⠀⠀⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢛⠿⣿⣟⠿⢿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿ ⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣶⣭⢹⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠜⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠐⠛⠿⠿⣼⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠉⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠁⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣴⢤⡀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⣿⠾⠇⠠⠶⣶⡶⣢⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠾⠿⠷⣾⣽⣻⢷⡮⠽⠻⣿⣿⣿⣿⣿⣿⣿⣿⡿ ⡼⢋⢱⢠⣙⣓⣒⠒⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⢸⣿⣿⣷⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠶⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠋⠉⠁⠀⠀ ⢣⡾⢻⣿⢺⣻⣷⣾⡿⠀⢬⣭⣭⣿⣿⣿⣿⣿⣿⡿⠟⠛⠳⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⡿⠿⠛⠛⠉⠀⠀⠀⠉⢙⣻⣿⣿⣿⣿⡿⠟⣱⣾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿⠟⣢⣾⣿⢿⢿⣿⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⡀⡄⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠈⠈⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⢿⣄⢄⢀⢻⣶⣄⠀⠀⣿⠀⣿⠿⢸⣿⢸⣿⡇⢸⣟⣃⣿⡍⣿⠁⢸⣿⡾⣧⣿⣿⢸⣿⠸⣿⠁⢻⣾⣿⡏⣿⢹⡏⣿⣿⠀⣸⣿⢸⣿⡏⣿⠏⣿⠉⣿⣿⣿⢸⣿⡇⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢿⣾⣿⣿⢶⠼⣿⡾⠶⠆⠿⠀⠻⠟⠿⠻⠿⠻⠇⠘⠿⠟⠿⠆⠿⠀⠸⠿⠇⠿⠹⠟⠿⠻⠇⠿⠀⠸⠟⠿⠇⠿⠸⠇⠿⠻⠀⠿⠻⠺⠻⠇⠻⠀⠻⠀⠿⠿⠻⠸⠛⠇⠻⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣟⠿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠆⠳⣄⠚⠷⣝⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢠⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡟⣿⣿⣿⣿⣿⢻⣿⢎⢿⣟⢆⠈⠀⠈⠉⠛⠛⠿⠿⠦⠀⠀⠙⡗⡄⣌⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⠃⣿⣿⣿⣿⠃⣼⠳⣟⣃⡙⠢⣤⣐⢶⣦⣤⣤⣶⣾⡷⡁⢢⠀⠐⢻⣜⣷⣄⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⠀⢿⣿⡿⢇⠀⡽⢋⣻⣿⣷⣤⣹⣿⣿⣿⣿⣿⣿⣻⣇⣿⣷⣶⣄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠸⡿⢁⣾⢠⣆⣈⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⢸⣡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶ ⠀⠀⣄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿ ⠀⠀⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢛⠿⣿⣟⠿⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿ ⠀⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣷⣾⡭⢸⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠛⠿⠇⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠉⠽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠃⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣢⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣀⣤⢤⡀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣷⠆⣠⣤⣴⡶⣶⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠿⠿⢷⣾⣝⣻⢶⠯⠝⠻⣿⣿⣿⣿⣿⣿⣿⠿⠿ ⡼⠋⣡⢠⣙⣓⣓⠲⣬⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢰⣶⣶⡶⣶⣴⣶⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠶⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠉⠁⠀⠀⠀ ⢣⡿⢿⡿⢻⣻⣷⣶⡷⠠⢬⣭⣭⣿⣿⣿⣿⣿⣿⡿⠿⠛⠶⣂⣬⣷⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⡿⠟⠛⠛⠉⠀⠀⠀⠉⢙⣻⣿⣿⣿⣿⡿⠟⣱⣾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⡿⠿⡿⣢⣾⣿⢿⢿⡿⢞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⣄⡄⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠈⠀⠀⠀⠀⠉⠉⠉⠁⠉⠉⠉⠉⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⢿⣄⢄⢁⢳⣦⣄⠀⠀⣿⠀⣿⠿⢸⣿⢸⣿⡇⢸⣟⣃⣿⡍⣿⠁⢸⣿⡾⣧⣿⣿⢸⣿⠸⣿⠃⢻⣾⣿⡏⣿⢹⡏⣿⣿⠀⣸⣿⢸⣿⡏⣿⠏⣿⠉⣿⣿⣿⢸⣿⡇⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢿⣾⣿⣿⢿⠼⣿⡾⠶⠆⠿⠀⠻⠟⠿⠻⠿⠻⠇⠘⠿⠟⠿⠆⠿⠀⠸⠿⠇⠿⠹⠟⠿⠻⠇⠿⠀⠸⠟⠿⠇⠿⠸⠇⠿⠻⠀⠿⠻⠺⠻⠇⠻⠀⠻⠀⠿⠿⠻⠸⠛⠇⠻⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣯⠛⢿⣿⣿⣿⣿⣿⣿⣦⠀⠠⠡⢢⡈⠛⢿⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡏⣿⣿⣿⣿⣿⢿⣿⢯⢻⣯⠂⢀⠀⠀⠉⠙⠛⠻⠿⠳⡀⠀⠘⡇⣞⢦⣌⠚⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠁⣿⣿⣿⣿⠏⣸⠹⣟⣃⠙⢠⡀⢲⣶⣦⣤⣤⣴⣶⣿⢀⠠⡀⠘⣹⣮⣿⣷⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡟⠀⣿⣿⡿⢏⡄⡿⢋⣛⣿⣷⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⢸⡿⢁⣿⢇⣎⣀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠ ⠀⠀⠀⢀⣸⣯⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿ ⠀⠐⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⠿⣿⣟⠿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣷⣾⡍⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠑⠛⠿⢻⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠈⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠈⠀⣼⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣺⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣠⣾⠦⣀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠋⣀⣀⣤⣄⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠞⠿⠿⢶⣾⣝⠻⠷⠶⠙⠻⢿⣿⣿⣿⡿⠿⠛⠋⠉ ⡞⡋⣤⢰⣙⣋⣉⢲⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣛⣻⣀⣋⣉⣭⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠶⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀ ⢣⣯⣿⣿⣻⣯⣷⣾⡿⠱⢮⣭⣽⣿⣿⣿⣿⣿⣿⡿⠿⠿⠶⣆⣈⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⠿⠿⠛⠛⠋⠁⠀⠀⠀⠉⢛⢿⣿⣿⣿⣿⡿⢟⣵⣖⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⠿⠿⢀⣾⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⣄⡄⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠁⠁⠀⠁⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⢿⣔⢄⢁⢳⣤⣀⠀⠀⣿⠀⣿⠿⢸⣿⢸⣿⡇⢸⣟⣃⣿⡍⣿⠁⢸⣿⡾⣧⣿⣿⢸⣿⠸⣿⠃⢻⣾⣿⡏⣿⢹⡏⣿⣿⠀⣸⣿⢸⣿⡏⣿⠏⣿⠉⣿⣿⣿⢸⣿⡇⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢿⣾⣿⣿⢿⠾⣿⡾⢶⠆⠿⠀⠻⠟⠿⠻⠿⠻⠇⠘⠿⠟⠿⠆⠿⠀⠸⠿⠇⠿⠹⠟⠿⠻⠇⠿⠀⠸⠟⠿⠇⠿⠸⠇⠿⠻⠀⠿⠻⠺⠻⠇⠻⠀⠻⠀⠿⠿⠻⠸⠛⠇⠻⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣯⠛⢿⣿⣿⣿⣿⣿⣿⣦⠀⠠⠑⣢⣈⠛⠿⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡏⣿⣿⣿⣿⣿⢿⣿⣮⢻⣿⠂⢀⠀⠀⠉⠙⠛⠻⢿⠳⡀⠀⠘⡇⣜⢦⣌⠚⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠁⣿⣿⣿⣿⠏⣸⠻⣟⣃⠙⢠⡀⢲⣶⣦⣤⣤⣴⣶⣿⢀⠠⡀⠘⣹⣮⣿⣷⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡟⠀⣿⣿⡿⢏⡄⡿⢋⣙⣿⣷⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣄⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⢸⡿⢁⣿⢇⣎⣀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠ ⠀⠀⠀⢀⣸⣯⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿ ⠀⠐⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣛⠿⣿⣟⠿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣷⣾⡍⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠑⠛⠿⢻⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠈⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠈⠀⣼⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣊⣿⠿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣠⣾⠦⣀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⣀⣀⣤⣄⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠺⠿⠿⢷⣾⣽⠻⠶⠶⠙⠻⢿⣿⣿⣿⡿⠿⠛⠋⠉ ⡞⡋⣤⢰⣝⣛⣉⢲⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣛⣻⣁⣋⣉⣭⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠶⠶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀ ⢣⣯⣿⣿⣛⣯⣶⣾⡿⠱⢬⣭⣽⣿⣿⣿⣿⣿⣿⡿⠿⠿⠶⣆⣈⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⠿⠿⠛⠛⠋⠁⠀⠀⠀⠉⢛⣿⣿⣿⣿⣿⡿⢟⣵⣖⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⠿⡧⢀⣾⣿⡿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⣄⡄⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠁⠁⠀⠁⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⢿⣔⢄⢁⢳⣤⡄⠀⠀⣿⠀⣿⠿⢸⣿⢸⣿⡇⢸⣟⣃⣿⡍⣿⠁⢸⣿⡾⣧⣿⣿⢸⣿⠸⣿⠃⢻⣾⣿⡏⣿⢹⡏⣿⣿⠀⣸⣿⢸⣿⡏⣿⠏⣿⠉⣿⣿⣿⢸⣿⡇⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⢿⣾⣿⣿⢿⠾⣿⡾⠶⠆⠿⠀⠻⠟⠿⠻⠿⠻⠇⠘⠿⠟⠿⠆⠿⠀⠸⠿⠇⠿⠹⠟⠿⠻⠇⠿⠀⠸⠟⠿⠇⠿⠸⠇⠿⠻⠀⠿⠻⠺⠻⠇⠻⠀⠻⠀⠿⠿⠻⠸⠛⠇⠻⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⢿⣿⣿⣿⣿⣷⣿⢿⣿⣯⠙⠿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠙⢢⣈⠙⠶⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡇⣿⣿⣿⣿⣿⢟⣿⢧⢻⣯⠃⣄⠀⠀⠁⠈⠛⠻⢿⡗⠄⠀⠈⣇⣞⢳⣤⡪⢿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⠀⣿⣿⣿⣿⠏⡸⠳⢿⣃⠙⢠⡈⢴⣶⣶⣤⣤⣴⣶⣿⢀⠠⣄⠘⣹⣷⣿⣿⣎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡟⠀⣿⣿⡿⢋⡀⡽⢋⣛⣿⣷⣌⣿⣾⣿⣿⣿⣿⣿⣟⣿⣸⣷⣿⣆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢹⡿⢁⣾⠇⣴⣁⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰ ⠀⠀⠀⢠⣸⣯⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿ ⠀⠀⡀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣛⠿⣿⣟⠿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣿⣾⣥⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠽⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠛⠿⣸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠐⣺⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣠⡶⠆⣄⠀⠀⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠀⢀⣀⢤⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠾⠿⠿⢷⣾⡝⠻⠗⠓⠙⠻⠿⣿⣿⣿⠿⠛⠋⠉⠁ ⡞⡁⣤⢲⣽⣩⣍⣲⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣁⠒⢛⣛⣽⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠴⠶⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀ ⢣⣿⣿⣿⣻⣿⣶⣾⡿⠱⢬⣭⣽⣿⣿⣿⣿⣿⣿⡿⠿⠿⠾⣆⣈⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⠿⠿⠛⠛⠉⠁⠀⠀⠀⠙⠛⣿⣿⣿⣿⣿⡿⢏⣤⣖⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⣿⢿⡯⢀⣾⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⣄⡄⡀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠈⠀⠈⠁⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⢿⣞⢄⢣⢳⣤⣀⠀⠀⣿⠀⣿⠿⢸⣿⢸⣿⡇⢸⣟⣃⣿⡍⣿⠁⢸⣿⡿⣧⣿⣿⢸⣿⠸⣿⠃⢻⣾⣿⡏⣿⢹⡏⣿⣿⠀⣸⣿⢸⣿⡏⣿⠏⣿⠋⣿⣿⣿⢸⣿⡇⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢿⣾⣿⣿⢿⠾⣿⡾⠶⠆⠿⠀⠻⠟⠿⠻⠿⠻⠇⠘⠿⠟⠿⠆⠿⠀⠸⠿⠇⠿⠹⠟⠿⠻⠇⠿⠀⠸⠟⠿⠇⠿⠸⠇⠿⠻⠀⠿⠻⠾⠻⠇⠻⠀⠻⠀⠿⠿⠻⠸⠻⠇⠻⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⢿⣿⣿⣿⣿⣷⣿⢿⣿⣿⠙⠿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠁⣦⢈⠘⠷⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡇⣿⣿⣿⣿⣿⢟⣿⢧⢻⣯⠃⣄⠀⠀⠉⠘⠛⠿⢿⡷⡄⠀⠘⢇⣟⢳⣤⡪⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⠀⣿⣿⣿⣿⠏⡸⠳⢿⣃⠙⢠⡈⢴⣶⣶⣤⣤⣴⣶⣿⢐⠠⣄⠘⣸⣷⣻⣿⣎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡏⠀⣿⣿⡿⢋⡀⡽⢋⣛⣿⣷⣌⣿⣾⣿⣿⣿⣿⣿⣟⣿⣸⣷⣿⣦⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⡿⢁⣾⠇⣴⣁⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰ ⠀⠀⠀⢡⣸⣯⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿ ⠀⠠⡀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⠿⣿⣟⠿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣾⣥⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠝⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠛⠿⣸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠁⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠐⣾⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣠⡶⠆⣄⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠀⢀⣀⢠⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠖⠿⠿⠿⣾⠝⠻⠗⠒⠙⠻⠿⣿⣿⣿⠿⠛⠋⠉⠁ ⡞⣩⣴⢲⣭⣩⣍⣲⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⠿⣿⣂⠒⢛⣛⣽⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠴⠶⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀ ⢣⣿⣿⣷⣛⣯⣶⣾⠿⠹⣭⣭⣽⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⢆⣈⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⠿⠟⠛⠛⠉⠁⠀⠀⠀⠉⠛⢻⣿⣿⣿⣿⡿⢻⣥⣖⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⡿⣿⡯⢄⣾⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⡔⡄⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠈⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⢿⣜⢄⢃⢲⣤⡀⠀⠀⣿⠀⣿⠿⢸⣿⢸⣿⡇⢸⣟⣃⣿⡍⣿⠁⢸⣿⡾⣧⣿⣿⢸⣿⠸⣿⠃⢻⣾⣿⡏⣿⢹⡏⣿⣿⠀⣸⣿⢸⣿⡏⣿⠏⣿⠋⣿⣿⣿⢸⣿⡇⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣿⣾⣿⣿⢿⠾⣿⡾⢶⠆⠿⠀⠻⠟⠿⠻⠿⠻⠇⠘⠿⠟⠿⠆⠿⠀⠸⠿⠇⠿⠹⠟⠿⠻⠇⠿⠀⠸⠟⠿⠇⠿⠸⠇⠿⠻⠀⠿⠻⠾⠻⠇⠻⠀⠻⠀⠿⠿⠻⠸⠻⠇⠻⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⢿⣿⣿⣿⣿⣷⣿⣿⣿⣿⠙⠿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⣦⢈⠘⠲⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡇⣿⣿⣿⣿⣿⢟⣿⢦⢻⣯⠃⣄⠀⠀⠉⠙⠛⠿⢿⠷⡄⠀⠈⢇⣟⢳⣤⡊⣻⣿⣿⣿⣿⣿⣿⣿⣿⣦⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⠀⣿⣿⣿⣿⠏⠸⠳⢿⣃⠙⢠⡈⢴⣶⣶⣤⣤⣴⣶⣿⢀⠠⣄⠘⣸⣷⣻⣿⣎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡏⠀⣿⣿⡿⢋⡀⡽⢋⣛⣿⣷⣌⣿⣾⣿⣿⣿⣿⣿⣟⣿⣸⣷⣿⣦⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢉⡿⢁⣾⠇⣼⣁⣠⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰ ⠀⠀⠀⢡⣸⣯⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿ ⠀⠀⡀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣛⠿⣿⣟⠿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣾⣥⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠝⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠛⠿⣸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠈⠁⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠐⣺⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣠⡶⠆⣀⠀⠀⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠀⢀⣀⢤⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠾⠿⠿⠷⣾⡝⠻⠗⠒⠙⠻⠿⣿⣿⣿⠿⠛⠋⠉⠁ ⡞⣩⣴⢰⣭⣩⣍⣲⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⡿⠿⣿⣂⠒⢛⣛⣽⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠴⠶⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀ ⢣⣯⣿⣷⣛⣿⣷⣾⡿⠹⣭⣭⣭⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⢆⣀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⠿⠟⠛⠛⠉⠁⠀⠀⠀⠙⠛⢻⣿⣿⣿⣿⡿⢻⣥⣖⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⠿⡯⢤⣾⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⡔⡄⡀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠈⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⢿⣜⢄⢧⢲⣤⡀⠀⠀⣿⠀⣿⠿⢸⣿⢸⣿⡇⢸⣟⣃⣿⡍⣿⠁⢸⣿⡾⣧⣿⣿⢸⣿⠸⣿⠃⢻⣾⣿⡏⣿⢹⡏⣿⣿⠀⣸⣿⢸⣿⡏⣿⠏⣿⠋⣿⣿⣿⢸⣿⡇⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣿⣾⣿⣿⢿⠾⣿⡾⢶⠆⠿⠀⠻⠟⠿⠻⠿⠻⠇⠘⠿⠟⠿⠆⠿⠀⠸⠿⠇⠿⠹⠟⠿⠻⠇⠿⠀⠸⠟⠿⠇⠿⠸⠇⠿⠻⠀⠿⠻⠾⠻⠇⠻⠀⠻⠀⠿⠿⠻⠸⠻⠇⠻⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⠿⣿⣿⣿⣿⣿⣿⣧⡀⠐⠹⣦⡀⠙⠾⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⡇⣿⣿⣿⣿⣿⢟⣿⣧⠻⣯⢃⣄⠀⠀⠉⠉⠛⠿⢿⡷⡄⠀⠘⣏⣺⢶⣌⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⠀⣿⣿⣿⣿⠏⢸⠳⢟⣃⡙⢠⡈⣶⣶⣶⣤⣤⣴⣶⣿⢐⠠⣄⠸⣹⣮⣿⣷⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡏⠀⣿⣿⣿⢋⡄⡹⢏⣙⣿⣷⣄⣿⣾⣿⣿⣿⣿⣿⣟⣿⣸⣷⣿⣤⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢙⡿⢁⣾⡇⣴⣁⣠⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼ ⠀⠀⠀⢡⣼⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿ ⠀⠐⡀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⠿⣿⣟⡟⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣾⢹⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⡰⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠛⠟⣾⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠁⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠒⣺⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣠⡶⠆⣀⠀⠀⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠀⠀⣀⢸⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠿⠿⠿⠿⣾⠽⠻⠗⠃⠙⠻⠿⣿⣿⡿⠿⠛⠋⠉⠁ ⡞⣡⣤⢳⣽⣩⣍⣲⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⠿⠿⠂⠔⢚⣛⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠶⠶⠶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀ ⢣⣯⣿⣷⣛⣿⣷⣾⡿⠹⣭⣭⣽⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⢆⣀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⠿⠿⠛⠛⠉⠁⠀⠀⠀⠙⠛⢻⣿⣿⣿⣿⡿⢻⡭⣖⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⡯⢦⣿⣿⣿⣽⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⣔⡄⡀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠈⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⢿⣜⠄⣧⣷⣤⡀⠀⠀⣿⠀⣿⠿⢸⣿⢸⣿⡇⢸⣟⣃⣿⡍⣿⠁⢸⣿⡿⣧⣿⣿⢸⣿⠸⣿⠃⢻⣾⣿⡏⣿⢹⡏⣿⣿⠀⣸⣿⢸⣿⡏⣿⠏⣿⠋⣿⣿⣿⢸⣿⡇⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢿⣾⣿⣿⢿⢾⣿⡾⢶⠆⠿⠀⠻⠟⠿⠻⠿⠻⠇⠘⠿⠟⠿⠆⠿⠀⠸⠿⠇⠿⠹⠟⠿⠻⠇⠿⠀⠸⠟⠿⠇⠿⠸⠇⠿⠻⠀⠿⠻⠾⠻⠇⠻⠀⠻⠀⠿⠿⠻⠸⠻⠇⠻⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⠿⣿⣿⣿⣿⣿⣿⣧⡀⠐⠹⣦⡀⠘⠾⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⡇⣿⣿⣿⣿⣿⢟⣿⣣⠻⣯⢃⣄⠀⠀⠁⠉⠛⠿⢿⠷⡄⠀⠘⣏⣚⢶⣌⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⠀⣿⣿⣿⣿⡏⢸⠳⢟⣃⡙⢠⡈⣶⣶⣶⣤⣤⣴⣶⣿⢐⠠⣄⠸⣹⣮⣿⣷⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡏⠀⣿⣿⡿⢋⡄⡹⢏⣛⣿⣷⣄⣿⣾⣿⣿⣿⣿⣿⣟⣿⣸⣷⣿⣤⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢙⡿⢁⣾⡇⣴⣁⣠⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼ ⠀⠀⠀⢡⣼⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿ ⠀⠀⡀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⠿⣿⣟⡟⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣾⢹⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⡰⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠛⠟⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠁⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠒⣺⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣠⡾⠆⣄⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠀⠀⣀⢸⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⠿⠾⠿⢷⣾⡽⠻⠗⠃⠙⠻⠿⣿⣿⡿⠿⠛⠋⠉⠀ ⡞⣡⣦⢲⣽⣩⣍⣲⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⡿⠿⠿⠂⠔⢚⣛⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠶⠶⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀ ⢣⣯⣿⣷⣛⣿⣷⣾⡿⠹⣭⣭⣽⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⢆⣀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⠿⠿⠛⠛⠉⠁⠀⠀⠀⠙⠛⢻⣿⣿⣿⣿⡿⢻⡭⣖⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⡯⢠⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⣔⡄⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠈⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⢿⣜⠄⣇⣷⣤⡀⠀⠀⣿⠀⣿⠿⢸⣿⢸⣿⡇⢸⣟⣃⣿⡍⣿⠁⢸⣿⡾⣧⣿⣿⢸⣿⠸⣿⠃⢻⣾⣿⡏⣿⢹⡏⣿⣿⠀⣸⣿⢸⣿⡏⣿⠏⣿⠋⣿⣿⣿⢸⣿⡇⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣿⡾⣿⣿⢿⠾⣿⡾⢶⠆⠿⠀⠻⠟⠿⠻⠿⠻⠇⠘⠿⠟⠿⠆⠿⠀⠸⠿⠇⠿⠹⠟⠿⠻⠇⠿⠀⠸⠟⠿⠇⠿⠸⠇⠿⠻⠀⠿⠻⠾⠻⠇⠻⠀⠻⠀⠿⠿⠻⠸⠻⠇⠻⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣕⣄⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⢻⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⣶⡄⠀⠀⠀⢶⡦⣤⣤⣤⣤⣤⢰⣠⣤⣤⡆⣴⡦⡦⣤⣤⢤⣤⡄⢰⣤⢤⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣰⡄⣶⣤⣤⢰⣶⣶⣰⡄⠀ ⠀⠀⠀⠀⢸⣿⣿⡇⢀⣞⠀⣨⣄⢉⣉⣉⠉⠉⣌⣉⣩⢉⡁⣉⣁⢡⡌⡉⣈⢩⡉⣉⠁⣈⡁⢠⡀⣀⢀⣠⡀⣀⢀⣠⢠⠀⢀⣀⣀⣀⡀⣄⡀⣀⢀⣠⢀⡄⣀⡄⣀⣀⢀⣀⡀⠀⠈⣭⣅⣉⡉⠉⠈⠉⠉⠉⠀⠀ ⠀⠀⠀⠀⠸⡛⠋⡥⣻⠇⠀⠿⠟⠾⠏⠿⠳⠀⠿⠏⠏⠺⠇⠻⠿⠿⠟⠇⠿⠿⠟⠿⠰⠟⠇⠸⠗⠿⠿⠿⠁⠿⠸⠿⠸⠆⠸⠿⠻⠹⠇⢿⡇⠿⠻⠿⠻⠟⠿⠟⠿⠿⠸⠿⠿⠆⠀⠏⠻⠿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⠀⡄⠀⠀⠀⣴⣲⣦⣶⢺⣶⣶⣖⡇⡀⣧⣶⣗⢳⣆⢸⣲⣶⣴⡆⣷⠆⢸⢲⣶⣴⣶⣶⠀⣶⡆⢦⢶⣦⡖⣷⡶⡷⡴⢠⣶⡞⢰⣲⣖⣶⣦⢲⣶⢾⢳⡆⡇⣶⣶⣶⣶⣴⡆⣷⡆⢰⡆⣗⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢨⣠⡥⡤⠄⠈⢀⡀⣈⢀⣀⣉⠀⣀⣡⢠⣡⣈⣈⣁⣀⡀⢠⡄⡌⣄⣬⠁⠀⢨⣀⣀⣀⣁⡀⣠⣁⣈⣁⣄⣁⢀⣈⣁⢈⡄⢀⣈⣁⣠⣌⣀⢀⣉⡄⣁⣈⣨⣡⣀⣁⣨⣄⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠈⠛⠃⠃⠀⠁⠘⠘⠛⠘⠛⠛⠀⠚⠃⠘⠚⠘⠛⠛⠃⠃⠘⠓⠛⠓⠛⠀⠁⠘⠓⠘⠓⠛⠛⠙⠃⠻⠞⠫⠇⠘⠛⠃⠘⠃⠘⠛⠛⠘⠃⠛⠚⠛⠃⠛⠛⠛⠚⠓⠛⠛⠃⠏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣺⣶⡆⣷⡆⢰⣳⣦⢸⡂⣗⣷⢶⡆⢸⡞⣶⣾⣺⣗⣆⣾⣺⣶⢰⡆⢸⣲⡆⢰⡆⢰⢳⣾⢸⣿⣞⣶⢳⣶⢸⡞⣶⠀⣞⢶⡶⣿⢞⣶⣳⡟⣾⣷⣷⠀⣶⡖⣶⣻⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣠⣤⢠⣤⣤⣄⣤⢰⣤⣆⣤⣤⠀⢠⣤⣤⣤⡆⢠⣤⣤⣤⡄⣤⣄⣤⣠⣤⣄⣴⢠⣄⣤⢀⣤⣤⣀⣄⣤⣤⢰⣤⠀⡄⢡⡄⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠙⠋⠛⠿⠛⠛⠛⠘⠛⠛⠛⠛⠃⠙⠛⠘⠛⠃⠙⠛⠛⠛⠃⠘⠘⠟⠙⠛⠋⠛⠀⠋⠛⠈⠛⠛⠙⠋⠛⠃⠘⠘⠀⠛⠸⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⡔⢀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⡇⢸⣿⡿⠸⠿⢿⠿⠿⠿⠸⠿⠇⠿⠿⠿⠽⠆⠯⠇⠉⠿⠿⠿⠿⠿⠿⠪⠿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠼⠇⠿⠿⡿⠸⠿⠯⠼⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⡇⢤⢤⣠⣠⣄⣄⡄⣄⣤⣤⡀⣄⣄⢠⣄⣠⣀⣄⣤⣄⣤⣄⢠⣤⣠⣤⣄⣤⢠⣤⣠⢠⡤⣤⣤⠀⠠⡤⣄⣤⣤⣠⣠⢠⣠⣠⣠⡤⣄⣠⣠⣄⡄⣤⣤⣠⣠⣤⣠⢠⣤⣤⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⡇⢈⣈⣉⠁⣌⣉⢁⣉⡉⡉⣡⣉⡉⡠⣩⢩⢩⢩⣙⢉⣉⢉⣉⣈⣄⣅⣁⣀⡈⢁⢉⣈⣈⣉⣡⣠⣀⠡⣌⣩⣁⣉⣩⢨⡙⣉⢅⣉⣊⣍⡉⠉⠁⠉⠈⠀⠉⠉⠛⠈⠁⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⡇⢀⡉⡁⣃⡛⣙⡘⠉⡛⡃⢛⣉⣃⣙⢙⣋⣊⢘⠈⡛⠑⣈⣋⡑⣋⣛⠛⠋⠃⠙⠊⠛⠙⠛⠛⠚⠋⠈⠛⠛⠛⠙⠚⠈⠉⠊⠊⠛⠙⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⡇⠀⠙⠋⠚⠛⠛⠓⠛⠛⠛⠋⠓⠛⠛⠛⠛⠛⠛⠓⠛⠚⠛⠛⠛⠛⠋⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣈⣁⢀⠀⣀⡀⢀⣀⣀⣀⡀⠀⣀⣀⣀⡀⣀⣀⡀⡀⣀⣀⣀⠀⣀⣀⢀⣀⡀⡀⣀⣀⣀⡀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠛⠛⠛⠃⠛⠛⠐⠛⠒⠛⠃⠁⠛⠓⠓⠃⠋⠛⠁⠓⠃⠘⠒⠀⠘⠙⠛⠛⠛⠃⠋⠛⠛⠃⠛⠟⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣴⣶⢰⡀⠠⣶⣆⣶⣶⠀⢰⢰⢰⡆⠀⢶⡆⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣤⠃⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⢀⢀⣀⣀⡀⣠⣀⣄⢀⣀⣀⣀⡀⢠⣀⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⡀⣀⣀⣀⢀⣀⣀⢀⡀⠀ ⠀⠀⠀⠀⢸⣿⣿⡇⠀⡴⠀⠘⠋⠛⠛⠛⠛⠛⠘⠚⠛⠛⠃⠛⠃⠃⠓⠛⠘⠛⠳⠞⠚⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠚⠃⠛⠛⠟⠘⠛⠛⠚⠃⠀ ⠀⠀⠀⠀⢸⠿⢿⢃⢾⡏⠀⠾⠾⠇⠿⠿⠟⠿⠇⠿⠏⠿⠿⠿⠸⠷⠷⠿⠿⠃⠺⠾⠸⠷⢿⠷⠿⠟⠾⠿⡞⠸⠿⠀⠟⠈⠏⠸⠿⠿⠰⠿⠢⠸⠿⠇⠿⠿⠄⠻⠇⠿⠟⢾⠿⢾⡿⠿⠇⠀⠳⠸⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠂⠀⠁⠉⠀⠀⡖⢲⣶⣾⣷⡆⢶⣶⠐⣶⣶⣶⣷⡆⢲⢰⣶⣶⣾⡖⣶⢷⢸⣿⢾⣿⠄⠀⣷⡆⣷⢲⣷⠄⣶⣶⣶⣶⣶⡆⢶⣶⣦⢰⣾⣶⡆⢶⡿⢶⣶⣾⣖⡔⠄⣶⣷⣷⣶⣾⡖⡔⣶⣷⠆⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠛⠉⠈⠁⠀⠉⠉⠉⠀⠈⠈⠀⠀⠉⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⠇⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⢀⠀⠀⠀⡀⢀⡀⡀⠀⠀⠀⠀⠀⢀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⠀⣀⠀⠀⢀⢀⢀⢀⠀⠀ ⠀⠀⠀⠀⢰⣿⣿⡆⠀⣠⠀⠹⠏⠿⠿⠿⠿⠿⠸⠾⠿⠿⠇⠿⠏⠏⠫⠿⠹⠿⠧⠼⠿⠹⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠼⠇⠿⠿⠿⠸⠿⠿⠼⠃⠀ ⠀⠀⠀⠀⢸⣿⡿⠇⣴⡗⠀⡼⣴⣖⣶⣶⣷⣾⣾⡖⢔⣾⡶⡀⣶⣖⢰⡆⣾⡖⢲⣶⢰⣶⣷⣶⡶⢠⣶⣶⣶⡴⣶⣷⣶⠂⠀⡆⢐⣶⣾⣶⣶⢠⣺⣶⣶⣶⣶⢰⡖⣦⣶⢢⠆⣷⣖⠔⣶⢰⣷⣦⣦⣲⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠆⠀⠊⠚⠁⠀⣤⣤⠠⣤⡀⣤⣶⣤⡤⢈⣤⡇⣦⣶⢲⢢⡄⣦⣤⢰⣴⣤⡄⣤⣤⣤⣤⣦⣤⣤⣦⡄⣤⡖⡦⣤⣤⣤⠄⠠⣤⡍⣶⣰⣦⣶⢠⢰⣆⣠⣤⣦⣬⣤⣶⢰⢄⣤⣄⢴⣦⣤⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⡬⣬⣴⡆⣥⡅⡠⣮⣤⢴⣥⣤⡄⢰⣴⣴⣶⠆⡥⣤⡤⡨⣡⣡⣭⢨⡌⢤⣥⣥⡬⠤⣧⣤⠠⢮⣤⢤⣤⠰⠈⣥⣤⣦⢤⣥⣴⣤⠆⠁⠁⣴⡠⣬⣴⣤⠀⣷⡁⣤⣤⣬⣤⣴⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣝⡉⣉⣥⣉⣁⣉⢉⣩⣉⣉⢉⡅⣄⣉⣉⢉⣀⣩⡉⣁⣨⢉⣁⣉⣈⣅⣉⡉⢉⣉⣈⡍⣉⣄⡈⢩⣭⣭⠄⣈⣉⣉⣉⡀⣭⣉⣃⣄⣁⢀⡁⠙⠉⠉⠉⠁⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠉⠃⠙⠉⠙⠁⠈⠘⠉⠋⠋⠋⠁⠉⠈⠋⠘⠉⠋⠙⠙⠉⠘⠙⠉⠉⠉⠋⠃⠙⠉⠙⠁⠙⠉⠃⠈⠉⠉⠀⠛⠙⠈⠙⠁⠉⠛⠛⠉⠋⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣾⡷⢸⡄⠀⣤⡄⠀⡇⡇⠀⢾⠗⢸⣼⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⣤⡁⠀⠀⠀⢤⣤⣠⣠⣤⣄⣤⢠⢠⣤⣤⡄⣤⣤⣤⣠⣤⣄⣤⡄⢠⣄⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢠⡄⣤⣤⣤⢠⣤⣤⢠⡄⠀ ⠀⠀⠀⠀⢸⣿⣿⡇⠀⣖⠀⣈⣁⣉⣉⣉⡉⡉⡈⠉⢉⠉⣁⡙⡃⢁⣉⣉⣈⣉⢑⠊⡉⡈⣁⣀⣀⣀⢀⡀⣀⡀⡀⢀⣀⣀⡀⣀⣀⣀⢀⣀⢀⣀⡀⢀⢀⢀⡀⣀⣀⣀⣀⡀⣀⣀⣈⢉⣁⣉⣉⡋⢈⢉⡉⠉⠁⠀ ⠀⠀⠀⠀⢸⠟⠻⣁⣻⡟⠀⡛⡛⠛⢛⡛⠛⠃⠳⠀⠈⠃⡛⠙⠛⠘⢛⡛⠛⠛⠛⠁⠛⠃⠛⡛⠛⠋⠻⠇⠛⢙⠛⠘⡛⢛⣀⢛⣛⠛⠛⠋⠙⡻⠃⠛⢈⡛⠃⠛⠛⠛⡹⠛⠙⢛⡋⠛⢛⠛⠻⠇⠛⠛⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⠀⡁⠉⠀⠀⠻⠿⠿⠸⠿⠗⠺⠿⠿⠿⠿⠇⠏⠹⠿⠿⠿⠇⠫⠿⠏⠻⠿⠿⠿⠿⠁⠸⠿⠿⠿⠿⠿⠿⠸⠿⠻⠿⠆⠸⠕⠷⠏⠿⠿⠸⠏⠺⠇⠿⠿⠯⠹⠿⠿⠿⠟⠸⠿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⡿⠾⣷⠿⠘⠾⠾⠿⠿⠿⣳⠿⠾⠀⠻⠷⠿⠟⠸⠷⠿⠿⠿⠿⠿⠇⠾⠛⠸⠿⠿⠿⠿⢷⠇⠀⠿⠿⠸⠿⠿⠾⠀⠷⠿⣿⠿⠇⠿⢷⠃⠿⠿⠿⠿⠿⣾⠀⠷⠇⠿⠿⠿⠟⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⡿⣾⢾⣿⠃⣷⣶⣷⣶⢰⣶⡆⡷⣿⡖⣶⣷⣶⠰⣶⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣀⣀⢀⠀⠀⠀⠀⠀⡀⡀⠀⣀⣀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠛⠛⠘⠂⠀⠒⠂⠀⠃⠃⠀⠙⠋⠘⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣾⣿⡆⠀⣀⠀⠹⠗⢶⠶⠶⣶⡶⠸⠴⠶⢶⠇⣿⡗⠗⢶⠶⠲⠶⣆⡸⡶⢲⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢼⠇⡿⠶⡶⠸⢿⠿⢼⠇⠀ ⠀⠀⠀⠀⢸⣿⣿⡇⣠⡿⠀⣶⣴⣴⣶⢰⣤⣴⣤⣤⡄⣤⣤⢠⡄⣤⣦⣤⡄⢤⢰⣦⣤⢤⢰⣶⣤⣶⣶⢤⡄⣤⣤⣤⡄⣤⣤⣤⣤⣤⣤⣴⡀⢰⣴⣤⢰⣤⣴⣦⣤⣠⣤⣄⢰⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⡅⠀⠖⠽⠃⠀⣡⣭⣌⣭⣬⣭⣩⣩⣭⣥⣭⣭⣬⡅⣭⣅⣭⢡⣬⣬⣭⢩⣬⣬⣍⣭⣭⣭⡌⣥⣭⢨⣭⣥⣩⣍⢩⣥⣡⡍⣭⣥⣬⡌⢩⡌⢩⣩⢁⣅⠅⠩⡥⣌⣍⢩⣬⣥⣄⣄⡄⣤⣤⣤⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⣉⣍⣉⣉⣉⣠⡍⣉⣉⡁⡉⣉⣉⢡⣉⣨⡉⣈⣉⢩⣉⢈⣉⣁⠉⣉⡉⢉⣁⡈⣉⣈⣉⣁⣁⡉⣈⣭⣉⣁⢉⣩⣉⣡⡈⣄⣤⣉⣉⣟⣁⢀⣥⣨⠉⣈⣉⣙⣉⢉⣉⣈⡉⠉⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣙⢛⣛⡛⢛⣃⣃⡛⠛⣚⣀⢋⡋⣘⣛⢛⣂⣘⣛⣘⣛⡈⣛⣛⣈⢛⣋⡘⢛⣃⣛⢛⢛⣛⣛⣀⡛⠛⡛⢃⣀⣛⡛⡛⠃⠋⠛⠛⠛⠛⠋⠘⠛⠛⠀⠘⠛⠋⠛⠘⠛⠛⠃⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠛⠛⠘⠂⠈⠓⠋⠛⠀⠘⠘⠀⠈⠛⠁⠓⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣾⣿⡆⠀⣀⠀⠹⠗⢶⠶⠶⣶⡶⠸⢴⠶⢶⠇⣾⡗⠗⢶⠶⠲⠶⣆⡸⡶⢲⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢼⠇⡿⠶⡶⠸⢿⠿⢼⠆⠀ ⠀⠀⠀⠀⢸⣿⣿⡇⣠⡿⠀⢲⠢⣤⡄⣤⣤⡤⣠⣤⣤⡆⡤⣄⠠⢤⣤⣤⡄⣤⡆⣦⢤⢴⣄⢠⣦⣠⣤⢤⣤⣤⣤⢠⣤⣤⡆⡦⣤⣦⣤⣤⣠⣤⣤⡄⣶⢄⣤⡆⣶⣰⣴⣶⢰⣦⣤⡦⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⡍⠀⠖⠽⠃⠀⣬⣄⣭⣥⣭⣭⢡⣭⣩⣭⠁⣬⣬⢠⣭⣭⣬⡅⣭⣥⣍⣄⣍⢨⢨⣥⣥⣭⢨⣭⣩⣩⣬⢉⡍⣡⣨⣭⣭⣭⣬⣭⢩⣭⣥⣭⣬⣭⣡⣥⠉⣬⣭⣬⣭⢩⣩⣩⣭⣍⡅⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⣁⣌⣉⡉⣉⢩⣈⢁⣉⣈⣣⢉⣉⣈⡉⣉⣉⡅⣌⣉⣈⢉⣈⣈⣈⣉⣩⣉⣈⣅⢉⣉⡉⣈⣁⣉⡉⣝⣋⣉⣩⣉⣌⣉⣉⡍⣉⣉⢉⡍⣃⣬⢩⣉⣉⡈⣉⣍⣉⣉⣁⣀⣀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣑⡛⡘⣋⡛⠘⠛⠘⠛⠈⠚⠘⠛⠙⠑⠛⠛⠃⠓⠘⠛⠘⠛⠘⠛⠛⠛⠛⠛⠓⠙⠙⠃⠛⠙⠛⠃⠛⠛⠀⠛⠛⠛⠚⠛⠃⠛⠃⠘⠃⠛⠛⠘⠂⠛⠃⠛⠛⠙⠙⠛⠛⠛⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠉⠛⠃⠛⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣴⣶⢰⡀⠀⣀⡀⠀⡆⡆⠀⢶⡶⢰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠉⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣤⠃⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⢀⢀⣀⣀⡀⣀⣀⣀⢀⣀⣀⣀⡀⢠⣀⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⡀⣀⣀⣀⢀⣀⣀⢀⡀⠀ ⠀⠀⠀⠀⢸⣿⣿⡇⠀⡤⠀⠘⠋⠛⠛⠛⠛⠛⠘⠚⠛⠛⠃⠛⠃⠃⠓⠛⠙⠛⠳⠞⠛⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠚⠃⠛⠛⠟⠘⠛⠛⠚⠃⠀ ⠀⠀⠀⠀⢸⡿⢿⢃⢾⡯⠀⠹⠙⠾⠧⠸⠿⠿⠿⠇⠿⠾⠻⠸⠿⠾⠾⠾⢧⠸⠿⠃⠷⠷⠼⠿⠿⢧⠘⠿⠿⠿⠇⠿⠷⠿⠇⢨⠿⠟⠸⠾⢿⠇⠿⠟⠠⠿⢿⠸⠷⠟⠞⠷⠇⣾⠼⠶⠻⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠂⠀⠉⠙⠀⠀⢶⠞⣷⣶⣶⣶⡆⢶⠖⢰⣶⣺⣶⣶⡇⣶⣷⡄⡶⣷⣿⡶⠀⠀⣿⣦⢲⢸⡷⡄⣾⢲⣶⣶⣿⢳⡆⣶⣶⡖⣷⢶⡔⡆⣶⣷⣶⢶⣾⣶⣶⠀⣶⢰⣷⣶⡦⢲⡶⣶⣶⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣴⣴⣦⣶⣶⡆⣶⣦⣶⣶⣶⣦⡆⢰⣶⡆⣶⢦⣶⢠⣦⡆⣶⢦⣶⡆⢰⠆⢲⠂⣶⣶⡶⠆⢰⣆⢰⣶⠶⣴⣶⣶⢰⣶⣰⠀⣶⢦⢶⡀⣶⡶⣴⡆⣶⣆⣴⡶⠰⣴⣶⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣤⣤⣤⣦⣤⢠⣴⣤⢰⣤⣤⣤⣤⣤⢨⣤⠄⣤⢤⣤⣤⣦⡆⢠⠤⣤⣤⣤⢰⡦⣥⢤⢰⣤⢰⠄⣤⠀⢤⣬⣤⣵⣄⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠉⠈⠉⠉⠉⠈⠈⠁⠈⠉⠉⠁⠉⠉⠈⠉⠀⠉⠈⠉⠉⠉⠁⠀⠁⠉⠉⠁⠈⠁⠉⠈⠈⠉⠈⠀⠉⠀⠈⠉⠉⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠿⠿⠸⠄⠀⠤⠄⠀⠇⠇⠀⠻⠟⠸⠼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⣶⡄⠀⠀⠀⢲⡦⣤⣤⣤⣤⣤⢰⣠⣤⣤⡆⣶⡦⡦⣤⣤⢤⣤⡄⢰⣤⢤⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣰⡆⣶⣤⣤⢰⣶⣶⣰⡆⠀ ⠀⠀⠀⠀⢸⣿⣿⡇⢀⣿⠀⣀⡀⡈⢀⢠⣉⢡⣠⣀⡀⣈⣄⣉⣁⣠⡈⣀⣄⣀⣉⡅⡅⣈⣤⣄⣀⣠⡄⣤⡀⣀⣄⢀⣀⣠⡄⢠⣠⣀⣤⣄⣀⣄⣄⠀⣀⣀⢀⡄⡄⣀⣄⣀⣀⣀⣠⢨⣄⣁⢀⡁⣄⢈⣀⣈⠀⠀ ⠀⠀⠀⠀⠸⡋⠉⡥⣻⠇⠀⣛⠙⡋⢛⣘⣛⢘⣛⣛⢃⡛⢛⣛⢛⣛⣋⠛⣛⡛⢛⣃⢀⢛⡛⢛⢛⣃⣀⢛⣛⡛⣃⢀⢛⣛⢛⢘⢙⡛⣛⣛⣛⣛⣛⡃⣛⢃⣙⣃⢃⢛⣛⣛⣋⠛⠛⣘⣛⣃⣘⡃⣛⡀⣛⠛⠀⠀ ⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠙⠛⢃⠛⠛⢛⠘⠛⢋⡛⠛⠘⠛⠛⠛⠛⢘⣻⢃⣛⠛⠛⠸⠛⠚⠛⣛⢛⡘⣛⣃⣟⠛⡛⣛⣘⠛⠘⠃⢋⢛⠛⠋⠛⠙⠿⠘⢛⡛⠏⡸⠛⠛⡛⡂⠀⡘⠘⡛⢻⠃⠛⠛⠛⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠿⠿⠸⠟⠽⠿⠿⠿⠿⠇⠿⠿⠿⠟⠿⠸⠿⠻⠿⠐⠷⠿⠻⠾⠃⠿⠛⠁⠿⠣⠻⠆⠻⠿⠿⠐⠷⠹⠿⠸⠟⠗⠰⠿⠷⠿⠿⠿⠃⠿⠿⠺⠇⠿⠿⠿⠏⠱⠿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠟⠿⠿⠿⠿⠿⠇⠿⠘⠾⠇⠿⠿⠳⠳⠷⠗⠸⠾⠸⠿⠄⠃⠿⠿⠻⠾⠿⢧⠘⠿⠿⠟⠳⠸⠿⣳⠀⠷⠷⠿⠿⠰⠿⠇⠿⠿⠿⠿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⠀⠀⠀⠀⢠⣤⡄⢠⣤⡄⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠉⠀⠘⠛⠀⠈⠉⠁⠀⠉⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ䷩ 𝚕𝚒𝚗𝚎 2535 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at http://techrights.org/2022/07/21/dell-embargoes/#comments Gemini version at gemini://gemini.techrights.org/2022/07/21/dell-embargoes/ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 07.21.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ Dell_Wants_Free_Marketing_of_Its_GNU/Linux_(Preloaded)_Laptops,_But_It_Should Help_With_Advertising,_Including_in_the_Front_Page_of_Its_Web_Site⠀✐ Posted in Dell, GNU/Linux, Marketing at 5:56 am by Dr. Roy Schestowitz Video_download_link | md5sum bc5ae999453cb215363b57ef1d7fa6b6 Dell Wants Free Marketing Creative Commons Attribution-No Derivative Works 4.0 http://techrights.org/videos/dell-marketing.webm Summary: It’s fine that Dell offers people hardware without Windows; but it would be nicer if Dell also actively marketed GNU/Linux as a Windows substitute THE OEM known as Dell is typically a Windows shop (there are some Chromebooks, too). It wants us to think that Dell PCs with GNU/Linux are just some niche products for “developers”. Based on leaks we’ve published here before, Microsoft_controls_Dell_in_all_sorts_of_ways (it’s an open secret) and when Dell offers something without Windows it is pursuing free_marketing, outsourcing all the effort to grassroots sites. “People can now easily use BSDs and GNU/Linux distros on more hardware, ‘secure’ boot as a growing barrier notwithstanding.”But don’t get me wrong; it’s good that Dell has moved on (and beyond) that_horrible_patent_deal (Novell/Microsoft patent collusion). People can now easily use BSDs and GNU/ Linux distros on more hardware, ‘secure’_boot_as_a_growing_barrier notwithstanding. Several hours ago an embargo_was_lifted, resulting in at least 14 semi-prepared puff pieces in just a few hours. Those bear headlines such as “Dell XPS 13 Plus Developer Edition Now Available with Ubuntu 22.04,” so it’s basically just about a distro upgrade and little more than this. As I explain in the video above, those of us who wish to support ‘true’ GNU/ Linux companies, not Windows-centric OEMs, should look into those who offer no Windows options at all. That’s the better way to drive positive change/ progress. Dell isn’t the worst OEM out there; it was one of the first large OEMs (if not the very first one, depending on scale criteria) to offer GNU/Linux out of the box. However, some context and history may be needed. The above video provides some. █ ䷩ 𝚕𝚒𝚗𝚎 2602 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at http://techrights.org/2022/07/21/georg-weber-joke/#comments Gemini version at gemini://gemini.techrights.org/2022/07/21/georg-weber-joke/ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 07.21.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ [Teaser]_EPO_President_‘F’_Delivers_Instructions_to_Georg_Weber⠀✐ Posted in Europe, Patents at 5:00 pm by Dr. Roy Schestowitz 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Georg_Weber⦈_ http://techrights.org/wp-content/uploads/2022/07/Georg-HYDRA-Weber.mp4 Summary: The EPO‘s Georg_'HYDRA'_Weber looks like some of the “baddies” in Captain America; it makes jokes hard to resist ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣠⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀ ⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ䷩ 𝚕𝚒𝚗𝚎 2671 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at http://techrights.org/2022/07/21/git-and-gemini/#comments Gemini version at gemini://gemini.techrights.org/2022/07/21/git-and-gemini/ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 07.21.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ Git_and_Gemini:_the_Core_of_the_New_Sites_(With_Our_Own_CMS_Running_on Alpine)⠀✐ Posted in Site_News at 6:16 am by Dr. Roy Schestowitz Video_download_link | md5sum 2622e73eb94f7e1bf077fbd50e013143 Rebuilding Better Creative Commons Attribution-No Derivative Works 4.0 http://techrights.org/videos/new-sites-git-gemini.webm Summary: We’ve been Building_Back_Better so far this month; with site migrations ongoing the plan is to further expand the use of Git (self-hosted) and add support to facilitate Gemini, perhaps along with other emergent protocols HERE in Techrights we’re using Gemini Protocol to present_Git to the outside world. We’re tracking_other_capsules, sharing_all_of_our_posts_in_real_time (including past ones, going all the way back to 2006), and I personally use it to check the local weather several times per day [1, 2]. “At the current pace of growth, Techrights will have about 45,000 Gemini pages by year’s end.”Now that we're_moving_the_sites_to_Alpine we’ve taken Git to the next level and are planning further expansions in Geminispace, as the video above explains. Geminispace is nowhere as big as the World Wide Web, but it is steadily growing. So far this week (since Monday) we’ve served nearly 50,000 pages. It’s hardly “just a niche” anymore. It’s growing fast. As shown in the 3 images below, Gemini has largely rejected the centralised CA model and has instead chosen to trust capsules based on past certificates transmitted to visitors: 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Capsule_certificates_historic⦈_ Choice of certificates, historic (source) 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Capsule_certificates⦈_ Choice of certificates, at present 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Capsule_count_July_21⦈_ Largest known capsules, today (source) At the current pace of growth, Techrights will have about 45,000 Gemini pages by year’s end. If Tux Machines gets added to Gemini, it’ll be truly massive (the Tux Machines Web site has about 170,000 pages). █ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡿⡛⡏⣿⡟⢻⢿⡏⣻⣻⢯⠟⢿⡏⣿⡟⢻⠋⣿⣟⡻⣿⡏⡋⢛⣿⡟⢿⡟⢻⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⢻⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡻⣿⡇⣿⡏⠉⠉⢹⣿⡻⢛⣯⡟⣿⠟⡛⠛⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⠿⠿⢿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡿⢯⢰⣷⣿⡇⣿⣿⣿⣿⣿⣿⢿⠿⢿⢿⡟⠺⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⣋⣩⣵⣶⣶⣶⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣶⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣾⣾⣾⣷⣷⣷⣷⣷⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⢋⣭⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠿⣽⣿⡇⣿⣧⣤⣤⣼⣿⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣋⣩⣴⣶⣾⣿⣿⣿⠿⠛⠉⠁⠀⠀⠀⢸⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡳⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣡⣶⣿⣿⣿⣿⣿⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢋⣤⣾⣿⣿⣿⣿⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡿⢩⣡⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢛⣩⣴⣶⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⢿⣿⣷⣯⣾⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⣋⣩⣭⣴⣶⣿⣿⣿⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣵⣿⣿⣿⣿⡻⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢛⣯⣴⣿⣿⣿⣿⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣽⣿⣿⢯⢶⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⣛⣩⣴⣾⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡲⣿⣿⣷⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢛⣥⣶⣿⣿⡿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠂⣿⣿⣿⢟⣋⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣯⣾⡿⠿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠙⣻⣿⣫⣴⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣳⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣟⣽⣥⣿⡇⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣾⣿⣿⡇⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠟⣿⡇⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣬⣿⣿⡇⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿ 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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 2815 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at http://techrights.org/2022/07/21/irc-log-200722/#comments Gemini version at gemini://gemini.techrights.org/2022/07/21/irc-log-200722/ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 07.21.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ IRC_Proceedings:_Wednesday,_July_20,_2022⠀✐ Posted in IRC_Logs at 2:15 am by Needs Sunlight Also available via the Gemini protocol at: * gemini://gemini.techrights.org/irc-gmi/irc-log-techrights-200722.gmi * gemini://gemini.techrights.org/irc-gmi/irc-log-200722.gmi * gemini://gemini.techrights.org/irc-gmi/irc-log-social-200722.gmi * gemini://gemini.techrights.org/irc-gmi/irc-log-techbytes-200722.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  QmPwSQXohLucghbf7Y7YoBHnU3X8jjjzCCL9icMTR4dNko #boycottnovell 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈ (full IRC log as HTML) IRC log for #boycottnovell  QmeP4VJQ1tLeCJMuEJw9TpB2i4r9XEUt4YMFNUo68FWZzK (full IRC log 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇text logs⦈ as plain/ASCII text) IRC log for #boycottnovell-  QmePW9BnNhmE7n6fEWt8SZkC5LuizsvC3Q9ABnn6TJ7Awo social 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈ (full IRC log as HTML) IRC log for #boycottnovell- 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gemini://gemini.techrights.org/2022/07/21/leaked-email-epo-swpats/ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 07.21.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ The_EPO_Bubble_—_Part_X_—_A_Leaked_E-mail_Provides_Some_Clues…⠀✐ Posted in Europe, Patents at 5:26 pm by Dr. Roy Schestowitz Overview: [Teaser]_The_EPO’s_Deflating_Patent_Bubble_and_Pursuit_of_Illegal Software_Patents_(With_Kangaroo_Courts,_UPC,_and_Bullied_Examiners) Series parts: 1. The_EPO_Bubble_—_Part_I_—_An_“Unprecedented_Surge” 2. The_EPO_Bubble_—_Part_II_—_Signs_of_a_Deflating_Bubble? 3. The_EPO_Bubble_—_Part_III_—_Dividing_Up_the_Spoils… 4. The_EPO_Bubble_—_Part_IV_—_A_Cashflow_Problem_Looming_on_the_Horizon? 5. The_EPO_Bubble_—_Part_V_—_Propping_Up_the_Bubble? 6. The_EPO_Bubble_—_Part_VI_—_From_Humble_Examiner_to_CO³ 7. The_EPO_Bubble_—_Part_VII_—_A_Multifaceted_Man_of_Letters 8. The_EPO_Bubble_—_Part_VIII_—_The_“Algerian_Skirmisher”_Replaces_the “British_Grenadier” 9. The_EPO_Bubble_—_Part_IX_—_A_Well-Remunerated_Faustian_Pact? 10. YOU ARE HERE ☞ A Leaked E-mail Provides Some Clues… 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇EPO_software_patentge_grant_rate⦈_ Despite a significant surge from 2016 onwards, the grant rate for “IT methods for management” (G06Q) remains relatively low, currently hovering around the 10% mark. However, rumours on the EPO grapevine indicate that a recent “changing of the guard” at managerial level is likely to lead to dramatic changes on this front. Summary: European_software_patents have been ushered in by Benoît_Battistelli (grant rates soared from 2% to 10%) and leaked communications suggest that António_Campinos intends to take this disturbing trend a lot further (whilst attempting to replace European patent courts with his ‘UPC’ kangaroo courts) In this part we will discuss the contents of a leaked e-mail which reportedly emanates from a EPO directorate in the ICT sector. According to informed sources, the directorate in question is the one responsible for computer- implemented “business and administrative methods” (CPC class G06Q). The E-mail provides some clues about the results that António’s “Algerian Skirmisher” is expected to deliver from his side of the_Faustian_pact_with_the EPOnian_"deep_state". “…between 2015 and 2020 the G06Q grant rate rose from the ultra-low 2% mark to its current level around the 10% mark. Nevertheless, this figure remains far below the EPO’s overall grant rate of 69%.”As noted previously, grant rates in the G06Q area remain relatively low despite a noticeable upward “surge” from 2015 onwards. To be more precise, between 2015 and 2020 the G06Q grant rate rose from the ultra-low 2% mark to its current level around the 10% mark. Nevertheless, this figure remains far below the EPO’s overall grant rate of 69%. However, in recent months there has been been a “changing of the guard” at managerial level in the directorate in question. Rumours on the EPO grapevine suggest that this is likely to be accompanied by a dramatic shift in granting practice. During the recent EPO “reorganisation” which took effect on 1 April 2022, the previous director in charge of this area, Christian Platzer from Austria, was replaced by his compatriot Georg_Weber. 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Christian_Platzer_and_Georg_Weber⦈_ EPO director Christian Platzer (l.), formerly in charge of the G06Q area, and his successor Georg Weber (r.) Weber is known to be a zealous_advocate_of_"software_patenting". His reputation in this regard gives rise to a suspicion that he has been entrusted with the task of pushing through a major change in examination practice in the G06Q area. This suspicion is further fuelled by the contents of the leaked e-mail referred to above. 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Weber_for_G06Q⦈_ A leaked e-mail suggests that plans are already afoot to increase the grant rate in the G06Q area. According to reliable sources, the e-mail was not personally authored by Weber himself but is understood to reflect his views on how examiners under his authority should carry out their work. An excerpt from the e-mail is reproduced below with some emphasis added to highlight passages that are considered to be of particular significance. 1. Search stage — An all-feature whole application search consideration should be taken, with all necessary classes considered – leading to 2. ESOP/WOISA with comparison point by point with prior art in PSA [problem-solution approach] with all features which imply, involve or affect a real world application or use given full consideration in differentiation. All these features then taken towards constructing an objective technical problem and a positive appreciation of how they technically solve that OTP. [...] 3. For sufficiency (and clarity) it should be remembered that if there is a difference then it may well be that difference, however defined, which forms the inventive step. Care should be taken against unnecessarily limiting an applicant, if such a difference exists, to a narrowly construed version. 4. Where two options exist for how to analyse a claim (e.g. a priori consideration of what is technical/non-technical vs not doing so) then the former is considered to be ‘circular’ and would ‘never lead to allowable claims’. Accordingly the other option should be taken, to the benefit of the applicant. 5. The appropriate ‘test’ of the validity of approach is considered to be opposition, and appeaI-after-opposition. It should be remembered that the existence of appeals may be open to interpretation as a sign of low quality. 6. High levels of grant (99.6% in some cases) are not considered exceptional in the Office, and may even be a sign of high quality when user satisfaction is also high. 7. A change from a negative track to a positive one, even late in the substantive procedure, should be understood as a success in adherence to the high quality procedure above. The content of the E-mail is formulated in arcane EPO-Speak and managerial jargon, so its significance may not be immediately apparent to the uninitiated. “The content of the E-mail is formulated in arcane EPO-Speak and managerial jargon, so its significance may not be immediately apparent to the uninitiated.”Nevertheless, according to insiders, this internal communication – reportedly directed at EPO examiners – can be understood as heralding a significant change of policy for patent examination practice in the G06Q area. The most relevant points derivable from the e-mail can be summed up as follows: ◦ Examiners are advised that “[c]are should be taken against unnecessarily limiting an applicant” and that applications should be interpreted “to the benefit of the applicant”. ◦ Examiners are discouraged from issuing refusals. The rather dubious rationale given here is that this could lead to appeals and “the existence of appeals may be open to interpretation as a sign of low quality”. It is not explained who might advance such an interpretation and whether or not it might have any substance. It seems that the mere fact that someone might do so should be enough to deter examiners from refusing an application. ◦ Examiners are encouraged to regard “high levels of grant” as a desirable objective. A passing reference is made to 99.6% grant rates “which are not considered exceptional in the Office” but without any further details being provided as to the technical fields for which these grant rates apply. It is further asserted that such high levels of grant “may even be a sign of high quality when user satisfaction is also high”. ◦ Examiners are also encouraged to view “change from a negative track to a positive one” as a “success”. This means that wherever the examination procedure starts out with a negative opinion that points towards a refusal, if the examining division happens to change its mind later on in the procedure and decide to grant, then this will be considered as a “success” [by EPO management]. The underlying “takeaway” from all this is that – as far as EPO management is concerned – “refusals are bad” and “grants are good”. “The underlying “takeaway” from all this is that – as far as EPO management is concerned – “refusals are bad” and “grants are good”.”In other words, the E- mail sends a clear signal to examiners that “high levels of grant” are “a consummation_devoutly_to_be_wished” – irrespective of the kind of subject- matter contained in the patent application. There can be little doubt that examiners in the G06Q area are being gently “nudged” in the direction of less refusals and more grants. 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇G06Q:_EPO_operator⦈_ There can be little doubt that examiners in the G06Q area are being gently “nudged” in the direction of less refusals and more grants. Of course, it goes without saying that if such “nudging” fails to produce the desired results, then more drastic France-Télécom-style measures might have to be adopted in due course… In the next part we will take a look at the person entrusted with implementing the predicted shift in examination policy, namely Georg Weber, the EPO director who – according to inside sources – has recently taken over responsibility for the G06Q area. █ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣷⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣀ ⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⠛⠛⣛⣿⣿⣿⣿⣿⣿⣟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⡟⠓⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣧⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣶⠾⢿⣿⡿⣻⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠙⢃⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⣬⡉⣋⣯⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡿⣡⣤⣾⣿⣿⠿⡞⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡿⣽⣿⣚⣿⣿⡟⠻⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠫⣻⣿⣿⣿⣿⡾⠱⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣶⣶⣴⣿⣿⡅⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⢹⣿⣿⣿⣿⣿⣿ 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⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⠛⠻⠿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⢀⣠⣶⣾⣿⣿⣦⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡀⠀⠀⣀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢸⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣝⠐⠒⢲⢹⢻⡿⠻⢿⣟⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣔⣢⣵⣿⣷⡬⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⡿⢟⣵⢆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⢛⠁⣼⣿⣿⣿⣯⣿⣻⣿⣛⢺⣿⣿⣿⣿⡿⢟⠛⢻⣿⣿⡿⠁⠀⠘⢁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣫⣤⣼⣤⢻⣿⣿⣿⣭⣟⣛⠛⠛⣛⣿⣿⣿⣿⢇⣛⣠⣬⣭⣵⣖⡆⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣡⣾⣿⣿⣿⣿⡯⢿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⢿⣿⣿⣿⣿⠟⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⢿⣿⣿⣿⣿⡇⠿⠮⣥⣍⢙⠛⢿⣿⣿⡿⣿⣟⣛⣻⡟⠿⢛⣫⣥⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠻⢿⣿⣿⡏⠛⢿⣿⡇ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡜⠟⣿⣿⣿⣿⣿⣿⣿⣿⣭⣽⣳⢻⡿⣟⣽⢣⡍⡍⣭⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠈⣿⣿⡇⠀⠈⣿⡇ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣯⣵⣧⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⢸⣿⡇⠀⢠⣿⡇ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⢸⣿⠁⠀⣸⣿⡇ ⢸⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢮⡛⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣋⢋⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠉⢻⣿⣿⣿⣿⣿⣿⠀⢸⡿⠀⣰⣿⣿⡇ ⢸⣿⣿⣿⠉⢻⡇⠈⢿⣿⡏⠉⣿⣿⣿⣿⣿⡏⡎⢱⠐⣱⣶⣶⣭⣽⣿⣿⣛⣛⣛⣻⣯⣿⣾⣿⢏⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠈⠉⠛⠿⡿⠛⠀⠻⠃⣰⣿⣿⣿⡇ ⢸⣿⠀⠻⠇⠈⠁⠀⠈⠉⠀⢀⣿⣿⣿⣿⣿⣷⣑⠤⣚⡌⣿⣿⡯⣝⣛⣛⣛⣛⣛⣫⣭⣸⣿⡿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⢉⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⡇ ⢸⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⡗⠉⠉⠑⠿⠿⠿⣿⣿⣟⣛⣛⣁⠀⠀⠸⡿⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⠃⠘⠁⢀⡿⠁⢠⣾⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⡇ ⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⢠⢤⣶⣚⣻⢿⣯⣭⣭⡿⣿⣽⣿⣿⢿⡇⠀⠀⣰⠋⠁⠀⢹⣿⣿⣿⠿⠆⠀⠀⠀⠁⠀⠘⠛⢻⣿⣿⣶⣤⣤⣤⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡇ ⢸⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⢸⢨⣟⡻⢿⣿⣾⣝⡷⣾⣿⢟⣯⣾⣿⠁⢀⡼⠁⠀⢀⣴⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣾⣿⣿⣿⣿⡿⠋⠉⠙⣿⣿⣷⣦⠀⠀⠀⢠⣿⣿⣿⣿⡇ ⢸⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⢸⢸⣿⠋⠑⠋⢙⡿⣿⣿⣽⣻⢿⣿⡇⠀⡼⠁⢀⣴⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡟⠛⠿⠿⠛⠁⠀⠀⠚⣿⣿⣿⣿⠀⠀⠀⣾⣿⣿⣿⣿⡇ ⢨⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⣀⣠⣼⣿⣿⡿⠁⢸⡞⠁⠀⠀⠀⠀⠈⠛⠉⢉⣛⠃⠀⠀⠀⠀⠀⢾⣿⡿⠟⠛⠿⣷⣦⣤⣄⣀⠀⠀⠀⠀⠀⠙⢿⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⡏⠀⠀⠀⣿⣿⣿⣿⣿⡇ ⢸⡿⠿⠃⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⡀⠉⠋⠉⠀⠀⠀⠁⢤⣤⠀⠀⠀⠀⠀⠀⣭⣭⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢿⣿⣿⡿⠇⠀⠀⠀⠀⠀⠀⠈⠙⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠈⣿⠄⠀⠀⠀⠀⠀⠈⣿⡇⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⠈⠙⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠼⠏⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢩⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⠭⢭⡭⡭⢭⡭⢭⡭⠭⠭⢭⣭⡭⢭⠭⢭⣭⣭⡭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⢹ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⢰⢨⠀⠰⣿⣧⢈⡀⠀⡆⠀⡃⠅⡃⠼⢈⡠⣿⣂⠄⡆⠏⣀⠃⡄⠀⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸ ⢸⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⡿⡿⠻⣿⣿⣿⣿⣿⣿⠿⠻⠿⠿⠿⠻⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸ ⢸⣿⣿⣟⣟⣟⣟⣿⣇⣀⣄⣄⣆⣰⣾⣟⣟⣿⣻⣟⣟⣿⣀⣀⣐⣀⣄⣇⣞⣟⣿⣻⣻⣻⣟⡇⠧⣤⣤⣴⣦⣴⣽⣿⣯⣯⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⢟⣛⣛⣭⣛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠉⠀⠀⢀⣀⣀⣀⡈⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠂⠜⣿⣦⣭⣾⠫⢍⠍⣟⢿⣾⣽⡻⢿⣿⣿⣿⣿⣿⢸ ⢸⡟⠛⠛⠛⠛⠛⠛⠛⠛⠛⡛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⡟⠁⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠠⢀⡀⠀⠉⠛⠿⣄⡑⠰⢄⣰⣿⣿⣿⣷⣮⣝⡻⢿⣿⢸ ⢸⡇⠨⣽⣻⣟⠀⠦⣌⠳⡄⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡟⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⡇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠉⠑⠂⠀⠄⡀⠙⠛⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⣿⢸ ⢸⡇⠀⡾⣤⠀⢀⠒⡌⢧⢹⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠇⠀⠀⠀⢰⣿⣿⡿⢿⣿⡟⢻⣿⢃⢿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⡏⠠⠀⠠⢀⠁⠂⠄⠀⠀⠐⠶⠆⠐⠒⠒⠒⠒⠒⠒⠀⣿⢸ ⢸⡇⠀⡟⠀⡼⠉⡇⡿⢸⢸⠂⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠇⣊⠉⢢⡀⢸⣿⣿⣧⣼⣿⡷⢾⣿⠺⣸⣿⣿⣿⡏⠀⣠⠶⣶⣦⣍⢻⠿⠏⠀⠀⠘⠐⠈⠐⠠⠀⠀⠒⠋⠉⠉⠛⠛⠛⠛⠉⠀⠀⢿⢸ ⢸⡇⢸⠒⡀⠳⢚⡴⢣⠏⡞⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠸⣏⠵⠸⢟⣷⣿⣿⣿⣿⡟⢾⣷⢜⣎⢿⣿⣿⠛⡗⣄⡃⣾⣹⡟⠁⠀⠀⠤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠀⠀⠀⢿⢸ ⢸⡇⠀⠠⣌⣉⡭⠔⠋⣂⣠⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠓⢈⠱⣦⡻⢿⣿⡟⠿⠿⠟⢷⣶⡿⠏⣼⣿⡏⣹⡧⠹⢷⣶⡌⡁⠀⠀⠔⠐⠁⡃⠀⠀⢀⠠⣀⠠⠈⠉⠉⠁⠈⠉⣁⠀⠀⠀⠀⠀⢸⢸ ⢸⣧⣬⣤⣤⣤⣤⣤⣤⣤⣬⣬⣥⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⠑⢠⠂⢀⣿⣿⣦⡍⣘⠿⣿⠟⠸⢶⣶⣿⣿⣿⣿⡿⢐⣭⢛⢷⡸⣷⣄⠷⢂⠄⠟⠀⠀⠀⠂⠄⢀⢎⠀⠀⠀⠀⠒⠂⢠⠤⠥⠑⠂⠀⢸⢸ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⠭⡺⠆⡐⠿⠿⣟⢹⣦⣌⡛⠒⠉⡺⣷⢰⣶⣭⣭⠋⢠⡿⣱⣿⡆⣼⣿⣿⣿⣶⡆⠀⠀⠀⡃⠂⡔⣐⠀⠀⢀⠊⠉⠉⠉⣉⠁⠀⠤⠄⠀⣾⢸ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⢎⡘⢅⡴⣪⣶⣿⣿⣦⡛⠏⣄⠀⠀⣇⣋⣾⣿⣿⡟⣴⣿⣱⣿⡿⡸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠃⠆⡁⠈⠐⠀⠀⠀⠠⠰⠟⠿⠛⠛⠂⠀⣿⢸ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⣷⣶⠋⢸⣿⣿⣿⣿⣿⣿⣷⣿⠀⠀⠹⣿⣿⣿⣿⠇⠿⣇⣿⠟⡡⣱⣿⣿⣿⣿⣿⠅⠀⠀⠀⠐⠠⢀⠀⡁⠒⠀⠀⠀⠀⠲⠶⠶⣷⣀⣀⠀⣿⢸ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠸⣿⣿⣿⣿⢿⣿⣿⡇⠀⠀⠀⠹⣿⣻⣿⠁⠐⢩⣵⣾⣶⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠦⠀⠀⠛⠊⠠⠮⠭⠤⠀⣿⢸ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢢⡀⡙⠿⠿⠟⣼⣿⣿⠀⠀⠀⠀⠀⢻⣧⢉⣀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠂⠀⠀⡀⠀⠀⠀⠀⠠⠕⠐⠀⠀⠀⠀⠀⣿⢸ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⠘⢇⢿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣇⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀⠁⠂⠌⣐⠠⢈⠁⠀⠀⠀⠀⠀⠠⣤⢤⣤⠄⠀⣿⢸ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣸⢸⣿⣿⣿⣿⣆⠀⠀⣼⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠀⡀⡀⡈⠀⠈⠐⠀⠀⠀⠠⠤⠤⠤⠤⠄⠀⠠⠤⢻⢸ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⡇⣿⢸⣿⣿⣿⣿⣿⣆⣰⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠍⡕⡆⡀⡈⠀⢉⣸⣿⣿⣿⣿⣿⣯⣅⠀⢸⢸ ⢨⣭⣭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⢭⣭⣭⣭⣭⣉⡉⢉⣭⣭⣥⣬⣭⣥⣤⣭⣬⣭⣭⣭⣭⣭⣭⣥⣤⣬⣥⣤⣤⣤⣤⣤⣤⣤⡀⠠⣬⣭⣭⣭⡄⠀⠀⠀⠀⠐⠠⢩⣂⠀⢀⣀⡀⢀⢀⡠⠬⠥⠤⠀⠀⣸⢸ ⢸⣿⣵⣝⡻⣿⣦⣿⣿⣿⣿⣿⣿⡿⠛⠀⣉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡉⠀⢠⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣭⣭⣭⡻⣿⣿⣿⣷⣾⣿⣿⣿⡇⣿⣦⣄⡀⠀⠀⠄⡀⠀⠠⢤⠤⠤⠄⠀⠀⠀⠀⠀⠀⢹⢸ ⢸⣿⡇⢻⣿⣷⣤⣒⢶⣶⣶⣷⣿⣿⣿⣶⣝⢿⣾⡝⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⡻⣿⣿⣿⣿⣿⣿⣷⠹⣿⣿⣿⣶⣄⡀⠀⠁⠀⠀⠠⠀⠚⠉⠙⠉⠭⠭⠅⢸⢸ ⢸⣿⣷⡦⣙⢿⢛⣿⣷⣮⣛⠿⠿⠿⠿⠿⠿⠿⠮⠗⠿⠮⠛⢿⣿⣿⣿⣿⣿⣿⣿⣦⡘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣝⢿⣿⣿⣿⣿⣿⣷⣍⡻⣿⣿⣿⣿⣷⣄⣀⣀⡀⠀⠀⣀⣀⠀⠀⢀⠀⠘⢸ ⢸⣿⣿⡷⢟⣁⣼⡻⢿⢿⣿⡆⣾⣿⣤⣬⣤⣤⣤⣤⣤⣷⣄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⡻⣿⣿⣿⣿⣿⣿⣿⣶⣽⡻⣿⣿⣿⣿⣧⣴⣶⣶⣦⣶⣦⣷⣾⣷⡞⢸ ⢸⣿⣷⣾⣿⣿⣿⣿⣷⣬⣛⠅⠛⠿⣿⣿⣿⠏⢿⠿⠿⠿⠛⢀⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡈⠛⠛⠛⠛⢿⣛⣛⠛⠛⠛⠛⠛⠛⠛⡛⡛⠊⣻⣿⣿⣿⣿⣿⣿⣿⣿⣶⣭⡛⢿⣿⣿⡿⠀⡏⢙⣬⢸⣿⡿⡇⢸ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢸ ⣘⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣸ ䷩ 𝚕𝚒𝚗𝚎 3272 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at http://techrights.org/2022/07/21/libreoffice-7-3-5/#comments Gemini version at gemini://gemini.techrights.org/2022/07/21/libreoffice-7-3-5/ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 07.21.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ Links_21/07/2022:_LibreOffice_7.3.5,_Microsoft_Teams_Goes_Offline_Again,_Dell Has_Many_Puff_Pieces⠀✐ Posted in Site_News at 9:29 am by Dr. Roy Schestowitz 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈ § Contents⠀➾ * GNU/Linux o Desktop/Laptop o Instructionals/Technical o Games o Desktop_Environments/WMs # K_Desktop_Environment/KDE_SC/Qt * Distributions_and_Operating_Systems o SUSE/OpenSUSE o Red_Hat_/_IBM o Canonical/Ubuntu_Family o Devices/Embedded o Mobile_Systems/Mobile_Applications * Free,_Libre,_and_Open_Source_Software o Productivity_Software/LibreOffice/Calligra o Programming/Development # Perl_/_Raku # Python # Java * Leftovers o Science o Hardware o Health/Nutrition/Agriculture o Proprietary o Security # Privacy/Surveillance o Defence/Aggression o Transparency/Investigative_Reporting o Environment # Energy # Wildlife/Nature 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 # Patents # Copyrights * Gemini*_and_Gopher o Personal o Technical * § GNU/Linux⠀➾ o ⚓ Linux Links ☛ Linux-Based_Digital_Signage_Solutions:_Pros_& Cons⠀⇛  Using digital signage to interact with consumers and staff is a popular and productive strategy. Linux-based digital signage is one of the most common digital signage systems on the market today. It has numerous benefits, but Linux-based digital signage also has certain drawbacks that you should address before making a purchase. Here’s an overview of the pros and cons. o ⚓ Linux Links ☛ Linux_Around_The_World:_USA_–_Arkansas⠀⇛ We cover events and user groups that are running in the US state of Arkansas. This article forms part of our Linux Around The World series. o § Desktop/Laptop⠀➾ # ⚓ 9to5Linux ☛ Dell_XPS_13_Plus_Developer_Edition_Laptop_Is Now_Certified_for_Ubuntu_22.04_LTS [Ed: Many scripted_Dell ‘articles’_after_embargo]⠀⇛  In celebration of 10 years of partnership, Dell and Canonical announced today that starting from August, developers will be able to purchase Dell’s flagship XPS 13 Plus laptop with the Ubuntu 22.04 LTS operating system preinstalled. But the great news I want to share with you today is that existing Dell XPS 13 Plus owners will be able to install Ubuntu 22.04 LTS starting today. Dell and Canonical ensure users that they will enjoy the same hardware-optimized experience that will ship with the new Developer Edition next month. # ⚓ Beta News ☛ Dell_XPS_Plus_13_Developer_Edition_is_certified for_Ubuntu_Linux_22.04_LTS⠀⇛ Earlier this year, HP made waves in the Linux community by partnering with System76 on a developer-focused laptop. Called “Dev One,” the notebook comes pre-loaded with the Ubuntu-based Pop!_OS. This new HP machine is quite impressive, as you can read in our review. Of course, seasoned Linux veterans were already familiar with a different major computer manufacturer selling a Linux-based developer machine. Yes, Dell has been releasing XPS “Developer Edition” models for many years — these computers come with Canonical’s Ubuntu pre- installed. Dell’s XPS 13 in particular has been lauded by professional reviewers and consumers alike thanks to its balance of power and elegance. Next month, you will be able to buy the latest XPS “Developer Edition” from Dell in the USA, Canada, and parts of Europe. You see, starting in August, the company will begin selling the Dell XPS Plus 13 Developer Edition which is certified for (and comes with) Ubuntu Linux 22.04 LTS. The laptop is powered by Intel’s latest 12th-gen Core processors and can be configured with up to 32GB of 5,200 MHz LPDDR5 memory. For storage, you get a PCIe Gen 4 NVMe SSD standard. Fans of media will appreciate the quad- speaker setup and optional 4K+ OLED display. # ⚓ Neowin ☛ The_Ubuntu-certified_Dell_XPS_13_Plus_Developer Edition_is_set_to_launch_in_August_–_Neowin⠀⇛ Canonical has announced that the new Dell XPS 13 Plus Developer Edition has been officially certified to run Ubuntu 22.04 LTS. The Developer Edition laptop will be available from August with Ubuntu pre-installed, and owners of the current XPS 13 Plus can also install Ubuntu 22.04 LTS today and receive the same experience as the Developer Edition will get. Ubuntu certification means that all the components in the computer will work well with Ubuntu out of the box. As a certified device, the Dell XPS 13 Plus Developer Edition will receive specific software and drivers that don’t typically come with Ubuntu – as long as they are required. These devices may also run a different Linux kernel to ensure the best performance. # ⚓ Phoronix ☛ Dell’s_New_XPS_13_Plus_Developer_Edition_Now Certified_For_Ubuntu_22.04_LTS_–_Phoronix⠀⇛ Canonical and Dell are jointly announcing that the new Dell XPS 13 Plus Developer Edition laptop has been officially certified for Ubuntu 22.04 LTS. Beginning next month consumers can order the new Dell XPS 13 Plus Developer Edition laptop pre- loaded with Ubuntu 22.04 LTS. Or already those with the latest edition Dell XPS 13 can load Ubuntu 22.04 on it and receive the same “hardware- optimized experience.” The HWE OEM kernel with Ubuntu 22.04 LTS makes use of Linux 5.17 over the default 5.15 kernel as one of the primary changes. # ⚓ ZDNet ☛ The_Dell_XPS_13_Developer_Edition_will_soon_arrive with_Ubuntu_Linux_22.04_|_ZDNet⠀⇛ I’ve loved Dell’s Linux laptop for developers, the Dell XPS 13 since the first unit rolled out from the factory gate. Now, the latest Dell XPS 13 Plus Developer Edition will soon be rolling out the door with Ubuntu 22.04 Long Term Support (LTS). I can’t wait. The first will arrive on August 23rd. This means, of course, Canonical and Dell officially have been certified for Ubuntu 22.04 LTS. So if you already have a current XPS 13 Plus, you can install Ubuntu 22.04 and automatically receive the same hardware-optimized experience that will ship with the new Developer Edition. # ⚓ Ubuntu ☛ Dell_XPS_13_Plus_Developer_Edition_now_certified with_Ubuntu_22.04_LTS_|_Ubuntu⠀⇛ Canonical is excited to announce the new Dell XPS 13 Plus Developer Edition has been officially certified for Ubuntu 22.04 LTS. Starting from August, developers can buy Dell’s flagship XPS 13-inch laptop with the latest version of Canonical’s desktop Linux preinstalled. Also, from today current XPS 13 Plus owners can install Ubuntu 22.04 LTS and automatically receive the same hardware-optimised experience that will ship with the new Developer Edition. Ubuntu 22.04 LTS brings new features, performance and stability improvements backed by up to 10 years of software updates. # ⚓ The Verge ☛ Dell’s_XPS_13_Plus_is_the_first_laptop certified_for_Ubuntu_22.04_LTS_–_The_Verge⠀⇛ Ten years after launching a pioneering combination of Linux preinstalled on a commercial laptop with Project Sputnik, Dell and Canonical announced that the XPS 13 Plus is the first OEM PC certified for Ubuntu 22.04 Long-Term Support (LTS). That makes this a straightforward route to having a PC that just works without worrying about whether or not each component is ready to work with Linux. Linux-equipped Developer Edition models of the laptop were already available, with prices starting at $1,289.00, but currently ship with the older 20.04 LTS software. Long-term support releases deliver what it says on the tin, with the end of standard support for this version scheduled in 2027 and the end of life in 2032. Certified devices are lab tested to check the compatibility of each component, which means your device gets the specific drivers installed that will make all of its features work properly. # ⚓ Dell’s_XPS_13_Plus_Developer_Edition_gets Ubuntu_22.04_LTS certified_|_Ars_Technica⠀⇛ Dell is extending its love for Linux to the Dell XPS 13 Plus. The Developer Edition of the laptop has been Ubuntu 22.04 LTS-certified, Canonical announced today. That means the laptop will be sold starting in August with the latest version of Ubuntu, and owners of the XPS 13 Plus Developer Edition can download Ubuntu 22.04 LTS today (even if they bought it with Windows 11) for guaranteed performance. The XPS 13 Plus Developer Edition is the first 22.04 LTS-certified laptop, joining only some Raspberry Pi devices in certification. However, Dell has been certifying some of its XPS laptops, as well as other machines, for Ubuntu for generations. HP and Lenovo also have Ubuntu- certified systems. # ⚓ HowTo Geek ☛ You_Can_Now_Buy_the_Dell_XPS_13_Plus_With Ubuntu_Linux_22.04⠀⇛ Dell has been selling some of the best Linux laptops for over a decade now, and right on the heels of the HP Dev One, Dell is releasing an updated Linux variant of the premium XPS 13 Plus. Dell was already selling an XPS 13 Plus Developer Edition, which was largely unchanged from the Windows-powered XPS 13 Plus that arrived earlier this year, except that it comes with Ubuntu Linux 20.04 LTS instead of Windows. Starting this August, Dell will ship the XPS 13 Plus Developer Edition with a newer Ubuntu 22.04 LTS software experience, and people who already bought the Developer Edition will receive the same optimized update. # ⚓ XDA ☛ The_Dell_XPS_13_Plus_is_the_first_laptop_certified for_Ubuntu_22.04_LTS⠀⇛ Dell and Canonical have announced that the Dell XPS 13 Plus Developer Edition is the first laptop to be certified for Ubuntu 22.04 LTS (Long Term Support). This is the latest LTS release of Ubuntu, following version 20.04, which is what the Dell XPS 13 Plus Developer Edition currently ships with. Starting in August, you’ll be able to buy the Dell XPS 13 Developer Edition with Ubuntu 22.04 LTS out of the box. If you’ve already bought a Dell XPS 13 Plus with Ubuntu 20.04, you can install the upgrade to 22.04 manually right now, and when the new optimized experience starts rolling out, you’ll get it automatically. Ubuntu certification essentially means that devices have been tested and all of the features work as expected with Ubuntu. Certification is based on LTS releases, and that means you’ll get support for up to 10 years, as long as you stay on the same version of Ubuntu. While installing Ubuntu 22.04 right now should work fine, the hardware optimizations coming in August should make the experience a bit better. # ⚓ Liliputing ☛ Dell_XPS_13_Plus_Developer_Edition_will_ship with_Ubuntu_22.04_LTS_in_August_(or_you_can_install_it yourself_now)_–_Liliputing⠀⇛ The Dell XPS 13 Plus is a thin and light laptop with a 13.4 inch display and a 28-watt, 12th-gen Intel Core processor. It also features an updated design that gives the laptop a distinctive look. And like most recent Dell XPS 13 series notebooks, it’s available with a choice of Windows or Ubuntu Linux software pre-installed. When the Dell XPS 13 Plus first went on sale in April the company offered a Developer Edition model that shipped with Ubuntu 20.04 LTS. But starting in August it will ship with Ubuntu 22.04 LTS, although customers who already have the laptop will be able to install a fully supported version of the latest version of the popular GNU/Linux distribution starting today. # ⚓ FOSSBytes ☛ Dell_XPS_13_Plus_Gets_A_Developer_Edition Powered_By_Ubuntu_22.04_LTS⠀⇛ Ubuntu is one of the common choices among both beginners and manufacturers shipping Linux-powered laptops. You may know that Canonical (Ubuntu’s parent company) has partnered with HP, Lenovo, and Dell to bring Linux laptops to the market. The Dell XPS 13 Plus Developer Edition is the new addition to Dell’s popular lineup of Linux computers. The XPS 13 Plus DE is the first laptop to ship with Ubuntu 22.04 LTS (Long-Term Release), which was released recently. For starters, the original XPS 13 Plus was announced in April this year at CES 2022 and has gathered a lot of attention, thanks to its eerie and futuristic design. # ⚓ Dell_XPS_13_Plus_is_the_first_laptop_certified_for_Ubuntu 22.04_LTS⠀⇛ Ten years after releasing a groundbreaking suite of Linux pre-installed on a commercial laptop Sputnik ProjectDell and Canonical announced that XPS 13 Plus It is the first OEM computer A certified For Ubuntu 22.04 Long-Term Support (LTS). This makes this a straightforward path to just owning a working PC without worrying about whether or not every component is Linux ready. Developer Edition models of the Linux-equipped laptop were already available, with prices starting at 1,289.00 USD, but currently shipped with older 20.04 LTS software. Long-term support releases deliver what they say on the box, with the end of standard support for this release scheduled in 2027 and end of life in 2032. Certified devices are lab tested for compatibility of each component, which means your device gets specific drivers installed that make all of its features work properly. # ⚓ OMG Ubuntu ☛ Dell_XPS_13_Plus_Developer_Edition_Now Available_with_Ubuntu_22.04⠀⇛ The company’s boldly redesigned XPS 13 Plus is also now certified for Ubuntu 22.04 LTS. This means anyone who purchased the laptop with Windows 11 can install Ubuntu 22.04 LTS on it themselves and still benefit from the same hardware-optimisations that the pre-installed version offers. “By bringing the enhanced performance and power management features of Ubuntu 22.04 LTS to our most advanced premium laptop, Dell and Canonical reinforce our joint commitment to continue delivering the best computing experience for developers using Ubuntu,” Jaewook Woo, Product Manager at Dell Technologies says. # ⚓ GamingOnLinux ☛ Dell_XPS_13_Plus_Developer_Edition_gets certified_for_Ubuntu_22.04⠀⇛ Out for a new laptop and perhaps the HP Dev One didn’t take your fancy? Well now the Dell XPS 13 Plus Developer Edition has been properly certified for Ubuntu 22.04. Canonical announced the update today on their blog, noting that the roll-out will begin in August for those who want the up to date experience on solid hardware. As Canonical also showed, this is the first mainstream hardware to be certified for Ubuntu 22.04. While anyone can download Ubuntu (and other distributions) and attempt to run them on various devices, the point of the official certification is so that Canonical can ensure “that all of the components in a certified computer work as expected, so the user can be sure of the best experience out of the box”. Of course, buying one with Linux pre-loaded like this also shows there’s a market for more. o § Instructionals/Technical⠀➾ # ⚓ OpenSource.com ☛ How_I_use_the_Linux_fmt_command_to_format text⠀⇛ When I write documentation for a project, I often write the Readme file and Install instructions in plain text. I don’t need to use markup languages like HTML or Markdown to describe what a project does or how to compile it. But maintaining this documentation can be a pain. If I need to update the middle of a sentence in my Readme text file, I need to reformat the text so I don’t end up with a really long or short line in the middle of my other text that’s otherwise formatted to 75 columns. Some editors include a feature that will automatically reformat text to fill paragraphs, but not all do. That’s where the Linux fmt command comes to the rescue. # ⚓ Tips On UNIX ☛ Install_VirtualBox_6.1.36_on_Ubuntu_20.04_& Linux_Mint⠀⇛ This tutorial will be helpful for beginners to install VirtualBox 6.1.36 on Ubuntu 22.04 LTS and Linux Mint. Virtualbox is an open-source application for running operating systems virtually in our base system and this application is available for multiple operating systems (ie) Windows, Linux, and macOS. It has a large number of features, high-performing software used at the enterprise level, and is licensed under the General Public License (GPL). It is developed by a community based on a dedicated company. # ⚓ TecAdmin ☛ How_To_Install_phpMyAdmin_on_Ubuntu_22.04_– TecAdmin⠀⇛ You can use phpMyAdmin to manage your MySQL databases on a VPS. It’s an excellent tool for browsing, editing, creating, and dropping tables, as well as modifying columns and data. You don’t need to SSH into remote machines or load up some new terminal window to execute a few SQL queries every time you want to run some database queries. Instead, you can use a program like phpMyAdmin and keep everything in one place. This blog will show you how to install and set up phpMyAdmin on Ubuntu 22.04 server. # ⚓ Red Hat ☛ How_to_use_Go_Toolset_container_images_|_Red_Hat Developer⠀⇛ The Go Toolset package delivers the Go language with Federal Information Processing Standard (FIPS) support for cryptographic modules and the Delve debugger to Red Hat Enterprise Linux customers. We introduced this package a few years ago. Now we also provide Go Toolset in container images. This article illustrates how these images support modern Go development. # ⚓ H2S Media ☛ How_to_install_.Net_Core_on_Manjaro_Linux [Ed: Terrible idea of helping Microsoft after escaping Windows]⠀⇛ # ⚓ How_to_install_and_setup_SFTP_server_on_Ubuntu_22.04_– NextGenTips⠀⇛ SFTP (Secure File Transfer Protocol) is a file transfer protocol that provides secure access to a remote computer. Think of it as a tunnel provider, whenever you want to connect remotely, you use SFTP protocol to ensure your connection is secure from eavesdropping, we use Secure Shell (SSH) for that. FTP protocol is a client/server protocol that transfers files over the internet. FTP clients are used to sending and retrieving files to and from servers storing files and also responding to the clients’ needs. To get started with the installation, make sure ssh is installed, then set up sftp user group, configure ssh service, and lastly connect via sftp service. # ⚓ Linux Nightly ☛ How_to_Install_Telegram_on_Ubuntu_22.04_– Linux_Nightly⠀⇛ This tutorial will show you how to install Telegram on Ubuntu Linux. Telegram is a free program for text and video calls, as well as group chat, file sharing, and more features. The Telegram application on Ubuntu will also synchronize with your other devices, such as a phone. # ⚓ Linux Shell Tips ☛ How_to_Find_Graphics_Card_Version_in Linux⠀⇛ We can define a graphics card as a hardware expansion that directly feeds a display device like your computer or laptop monitor with resultantly generated images provide. A graphics card is also unofficially identified by many other names like display adapter, display card, video adaptor, video card, VGA card, GPU, and graphics adapter. However, we should not confuse the graphics processing unit (GPU) and the graphics card. GPU is at the core of a graphics card and is primarily responsible for all graphical computations. Any graphics card’s minimal/basic functionality is initiating a simple display output. However, the integrated graphics processor of other graphics cards lessens the computation strain of a computer’s central processing unit (CPU) by undertaking additional processing tasks. # ⚓ Linux Shell Tips ☛ How_to_Extract_a_WAR_File_in_Linux System⠀⇛ If you have had sufficient exposure to the world of software engineering, a WAR file; also known as Web application ARchive or Web Application Resource file, should not be a new concept. However, for those of us running into this concept for the first time, a proper introduction to this file archiving terminology is needed. # ⚓ Linux Shell Tips ☛ How_to_Mount_and_Unmount_Filesystems_in Linux⠀⇛ The Linux operating system is basically a file system and without these files’ formats and structures, the definition of this operating system environment would be incomplete. In other words, files are the central units of the Linux operating system architecture. The Linux filesystem stores OS-associated files and directories. Filesystems are also evident in USB and hard disk drives and a properly configured network can also permit the sharing of these filesystems among different machines. This article seeks to expose us to the mount and umount commands primarily used in attaching and detaching file systems from various mount points. # ⚓ Linux Hint ☛ Upgrade_Ubuntu_From_Command_Line⠀⇛ “Ubuntu releases periodical updates, and the current version you are using is likely not the latest release. Most systems retain the Ubuntu version installed when it got booted, but it’s advisable to upgrade Ubuntu to get the latest fixes for bugs and new tools. That said, if you are looking for the quickest way to upgrade Ubuntu, the command line is the solution. We will cover upgrading Ubuntu via the command line.” # ⚓ UNIX Cop ☛ How_to_Install_NixNote_on_Ubuntu_20.04_|_22.04 LTS⠀⇛ In this guide, we will show you how to install NixNote on Ubuntu systems. NixNote is an free, open source program designed to help you take notes and stay organized. With NixNote, you can create text notes, attach files or images, and enen synchronize with Evernote so you can have your notes wherever you go. # ⚓ Trend Oceans ☛ How_to_Reset_the_Root_Password_in_Ubuntu 20.04/22.04_–_TREND_OCEANS⠀⇛ All Linux users are well aware of how a root account is important to manage administrative tasks like creating users and adding users into a sudo group to perform other important system administrative tasks on behalf of root users. If you are a single user, you may have created a normal user for other purposes and also been added to the sudo group by the installer or manually for administrative tasks, but for some reason, you have self-removed your account from the sudo group and lost root access. Later, you discover that you don’t even know the root password to revert the changes, and you’re now stuck with your system where you don’t know the password for your root accoun # ⚓ Linux Capable ☛ How_to_Install_AngularJS_on_Rocky_Linux_9⠀⇛ Angular is a popular, open-source web application framework for building mobile and desktop apps. It was developed in 2009 by Google to help developers design complex applications from scratch without having expert knowledge of coding languages like C# or Java. It can take up valuable time when you want something simple with little functionality at first, but it grows as your project develops over time. Angular can be used for web, mobile, and desktop apps, making it a versatile tool for developers. Additionally, Angular has a large community of users and developers who maintain and contribute to the codebase, ensuring it remains up- to-date and reliable. While it may have a steep learning curve, Angular is a robust framework that can help you build sophisticated web applications. In the following tutorial, you will learn how to install AngularJS on Rocky Linux 9 using the command line terminal using the NodeSource repositories as the source for NodeJS and NPM. # ⚓ Linux Hint ☛ Basic_Linux_PAM_Modules⠀⇛ Linux PAM is a powerful API that comes with several merits. First, it provides a standard authentication scheme that is useable across various applications. It also provides unbeatable flexibility for application developers and system administrators alike. Finally, Linux PAM enables the development of programs without necessarily creating their respective authentication protocols. Like any typical authentication protocol, using PAM relies on understanding an array of concepts. The PAM components you should internalize and master include the control groups and control flags. # ⚓ Trend Oceans ☛ How_to_Exclude_Package_Update_from_Apt- Upgrade⠀⇛  Whenever you hit the apt upgrade command on your Ubuntu or other Debian-based distribution, it will update the existing package and application to the latest release. You might not have a problem updating the packages to their latest release. But let me remind you, “How many times did you break your packages after updating the system?” o § Games⠀➾ # ⚓ GamingOnLinux ☛ Valve_warns_about_Steam_Deck_temperatures, plus_a_Deck_Beta_Update_out⠀⇛ Valve put up a bit of a notice / warning recently, one for those of you experiencing a heat wave and trying to game on the Steam Deck might want to keep a note of. Plus a new Steam Deck Beta update. # ⚓ GamingOnLinux ☛ Visit_a_new_dimension_in_the_Avorion_–_Into The_Rift_expansion⠀⇛ Avorion – Into The Rift is a pretty big sounding expansion to the space sandbox game that will arrive in August. This is the second expansion, following on from Black Market released back in 2020. For those who haven’t played it, Avorion is a massive space exploration game where you build your ships block by block. Think a little Minecraft in space, plus a touch of Eve Online and you sort of get some of the idea. # ⚓ GamingOnLinux ☛ Fantasy_metroidvania_Nara:_Facing_Fire blends_Hollow_Knight_and_Ori⠀⇛ Love games like Hollow Knight, Ori and Celeste? Well, you’re going to want to take a look at Nara: Facing Fire as it takes inspiration from all of them. # ⚓ GamingOnLinux ☛ Epic_Games_now_supporting_the_O3D Foundation_and_Open_3D_Engine⠀⇛ The O3D Foundation, who oversee the free and open source Open 3D Engine, have announced that Epic Games are now officially one of their supporters. Epic Games has joined as a Premier member joining the likes of Adobe, AWS, Intel, Microsoft and others in supporting their mission to produce a AAA FOSS game engine. # ⚓ GamingOnLinux ☛ Classic_inspired_brawler_Pulling_No_Punches arrives_on_August_10⠀⇛ Ready for more beat ‘em up action? Pulling No Punches from developer BrainDead Broccoli is confirmed to be launching on August 10 along with Native Linux support. # ⚓ GamingOnLinux ☛ Baldur’s_Gate:_Dark_Alliance_II_is_out_now with_Linux_support⠀⇛ Square One Games Inc., Black Isle Studios and Interplay Entertainment are back with another classic revived. Baldur’s Gate: Dark Alliance II is now available with Native Linux support. # ⚓ GamingOnLinux ☛ Unreal_Engine_5_editor_quietly_gets_a proper_Linux_version⠀⇛ I’m not entirely sure when this went live but it appears that Epic Games have finally released a full proper download of Unreal Engine for Linux developers. Seems a lot of people noticed only today, although the page mentions the build was released Jul 12 – 2022, with GOL getting messages about it everywhere so it seems like a fair few find this quite exciting. o § Desktop Environments/WMs⠀➾ # § K Desktop Environment/KDE SC/Qt⠀➾ # ⚓ Ubuntubuzz ☛ What_Do_After_Installing_Kubuntu_22.04 and_KDE_Plasma_5.24⠀⇛  This article suggests several traditional things to do after we finished the installation of Kubuntu 22.04 with KDE Plasma 5.24. We have collected for you recommended printers, software applications, games, browser addons, adjustments, widgets and shortcuts to add, and several more. We hope this helps. Happy friendly computing! * § Distributions and Operating Systems⠀➾ o § SUSE/OpenSUSE⠀➾ # ⚓ DebugPoint ☛ Hands-on_With_openSUSE_MicroOS_–_Adaptable Linux_Platform_[First_Look]⠀⇛  We test drive the openSUSE MicroOS, which is the Adaptable Linux Platform (ALP) – an atomic, transactional Linux operating system. o § Red Hat / IBM⠀➾ # ⚓ The Register UK ☛ IBM_launches_Db2_operator_for_Kubenetes on_AWS_•_The_Register⠀⇛ IBM has launched a Db2 operator for Kubernetes running on AWS Elastic Kubernetes Service (EKS), while promising the same would be available for Azure AKS is targeted for the second half of 2022. The Big Blue stalwart database counts Bank of America, Natwest Group and Tesco among its users. But, despite large chunks of the western economies relying on the aging database, IBM does not like to shout about it. # ⚓ Enterprisers Project ☛ Burnout:_3_steps_to_prevent_it_on your_team⠀⇛ Between the pandemic effect, hustle culture, and work pressures, burnout has become commonplace. Robert Half research found that four in ten U.S. workers feel more burned out now than they did a year ago, impacting more than just their professional performance. Surveys have found that 66 percent of professionals skip at least one meal daily due to being too busy or stressed at work. Many cite their work stress levels as negatively impacting their relationships. Leaders should go beyond quick fixes and strive to radically improve employee well-being. Identifying the root cause of burnout is one of the first steps toward improving the employee experience – and it often boils down to re-evaluating workplace culture. # ⚓ Enterprisers Project ☛ IT_talent:_5_reasons_to_consider_a career_coach [Ed: IBM continues "The Great Resignation" lie/ myth while laying off a ton of its own workers]⠀⇛ As The Great Resignation continues, maybe you’ve been thinking about making a change in your professional life. Hiring a career coach could be the right move for you. Career coaches can offer valuable guidance as you look to change jobs. They can also help make the process more efficient and far less time-consuming. Here are five reasons you may want to engage the services of a career coach. # ⚓ Google ☛ Moving_off_CentOS?_Introducing_Rocky_Linux Optimized_for_Google_Cloud⠀⇛ As CentOS 7 reaches end of life, many enterprises are considering their options for an enterprise- grade, downstream Linux distribution on which to run their production applications. Rocky Linux has emerged as a strong alternative that, like CentOS, is 100% compatible with Red Hat Enterprise Linux. o § Canonical/Ubuntu Family⠀➾ # ⚓ GamingOnLinux ☛ Linux_Mint_21_Beta_now_available⠀⇛ The Linux Mint team are gearing up for another major release with Linux Mint 21 now available in Beta to download. This is their next long-term support release, so you’ll be able to continue running it until 2027 thanks to it being based upon Ubuntu 22.04. You will get Linux Kernel 5.15 and depending on which edition you go for Cinnamon 5.4, MATE 1.26 or Xfce 4.16. o § Devices/Embedded⠀➾ # ⚓ Linux Gizmos ☛ Forlinx_introduces_OK6254-C_SBC_based_on TI’s_Sitara_AM6254_processor⠀⇛ Last month at Embedded World 2022, Forlinx presented the OK6254-C Single Board Computer (SBC) compatible with a System-on-Module powered by the newest quad-core Sitara AM625 processor from Texas Instruments. This SBC offers 8GB of eMMC, triple displays ,dual LAN ports, and optional cellular connectivity.  # ⚓ Raspberry_Pi_Email_Server_using_Citadel_–_Pi_My_Life_Up⠀⇛ This Raspberry Pi email server tutorial will take you through the steps on how to set up your very own email server that is both low cost and relatively versatile. o § Mobile Systems/Mobile Applications⠀➾ # ⚓ CNX Software ☛ OSM_Size_L_SiP_Integrates_STM32MP1_MPU_for industrial_&_IoT_applications_–_CNX_Software⠀⇛ # ⚓ Android Headlines ☛ Top_10_Best_Anime_Android_Games⠀⇛ # ⚓ Android Police ☛ Android_Auto_streamlines_its_media_player, just_in_time_for_your_next_road_trip_sing-along⠀⇛ # ⚓ Android Central ☛ Google_improves_Android_security_with DNS-over-HTTP/3_update_|_Android_Central⠀⇛ # ⚓ Android Central ☛ Chrome_lets_you_try_out_the_new_System Photo_Picker_from_Android_13_|_Android_Central⠀⇛ # ⚓ Android_13_Beta_3_is_ready_to_download_for_the_OnePlus_10 Pro_–_TalkAndroid.com⠀⇛ # ⚓ 9to5Google ☛ YouTube_Music_for_Android_is_working_on_sleep timer_–_9to5Google⠀⇛ # ⚓ How_to_Use_Focus_Mode_on_Android⠀⇛ # ⚓ Tech Times ☛ Split_Screen_on_Android_Phone_2022:_Here’s_How to_Do_It_|_Tech_Times⠀⇛ # ⚓ Express ☛ Google_BANS_50_Android_apps!_Check_your_phone_and delete_them_now_|_Express.co.uk⠀⇛ # ⚓ Ghacks ☛ Media_Player_VLC_3.5_for_Android_has_been_released –_gHacks_Tech_News⠀⇛ # ⚓ Android Police ☛ OnePlus_10_Pro_gets_its_third_Android_13 Beta,_but_users_are_facing_issues_installing_it⠀⇛ # ⚓ Hackaday ☛ Nokia_5110_Gets_Android_Stowaway_And_A_Keyboard |_Hackaday⠀⇛ # ⚓ 5_Features_to_Consider_Before_Buying_An_Android_Gadget⠀⇛ # ⚓ Top_20_Android_games_with_controller_support_|_Pocket Gamer⠀⇛ # ⚓ Top_10_Ways_to_Fix_Android_Auto_Keeps_Disconnecting_– Guiding_Tech⠀⇛ # ⚓ Phone Arena ☛ Google_releases_its_new_Wallet_app_for Android_and_WearOS_with_an_annoying_bug_for_the_latter_– PhoneArena⠀⇛ # ⚓ Android Central ☛ Why_does_it_take_so_long_for_my_phone_to receive_Android_updates?_|_Android_Central⠀⇛ # ⚓ How_to_Recover_Data_After_Factory_Reset_on_Android_– Phandroid⠀⇛ # ⚓ The Verge ☛ 120fps_GeForce_Now_cloud_gaming_comes_to_all compatible_Android_phones_–_The_Verge⠀⇛ * § Free, Libre, and Open Source Software⠀➾ o § Productivity Software/LibreOffice/Calligra⠀➾ # ⚓ Document Foundation ☛ LibreOffice_7.3.5_Community_available for_download⠀⇛ LibreOffice 7.3.5 Community, the fifth minor release of the LibreOffice 7.3 family, targeted at personal productivity users, is available for download from https://www.libreoffice.org/download. Users of previous versions of LibreOffice should update immediately, as this is now the release suggested for deployment ction environments. The LibreOffice 7.3 family offers the highest level of compatibility in the office suite market segment, starting with native support for the OpenDocument Format (ODF) – beating proprietary formats in the areas of security and robustness – to superior support for DOCX, XLSX and PPTX files. # ⚓ 9to5Linux ☛ LibreOffice_7.3.5_Office_Suite_Released_with_83 Bug_Fixes,_Download_Now⠀⇛  LibreOffice 7.3.5 is here five weeks after LibreOffice 7.3.4 to address more bugs and further improve compatibility with proprietary document formats, such as DOCX, XLSX, and PPTX files. A total of 83 bugs were addressed in this update, and you can check out the RC1 and RC2 changelogs for details on these bug fixes, which should strengthen the LibreOffice 7.3 office suite series and offer users an extra layer of stability and reliability. o § Programming/Development⠀➾ # ⚓ Linux Hint ☛ Uppercase_in_R⠀⇛ You may need to convert or modify a string to uppercase at some point. All lower case letters will be changed to capital letters. To transform a string or character to uppercase in R, use the toupper() method. This method is used to convert full strings to uppercase format. When we call the toupper() method, the return value is in string format and has been transformed to uppercase. If there isn’t one, the values are turned into a string. When we set this to a value that is not a string, the toupper() function does not affect the initial string values. For different case scenarios, you could use toupper() and other methods on the String to transform String to uppercase. In this topic, we will explore how to alter the case of a string to uppercase. # ⚓ Linux Hint ☛ String_Contains_in_R⠀⇛ “The string allows you to access the series’ values as strings and implement a variety of methods on them. The str_contains() method is used to see if a string of a Sequence or Index contains a pattern or regex. If a provided pattern or regex is included inside a string of a Sequence or Index, the method returns a boolean Sequence or Index. This function is sensitive to cases by default. We can also utilize the contains methods with the select command. In R, there is a method called contains(). The string is an object method used to determine whether the string object includes the supplied string object and gives a Boolean response of True or False. In this article, we will explore more about the string contains() method in R language through various instances.” # ⚓ Linux Hint ☛ Remove_Columns_in_R⠀⇛ “A Data Frame will frequently contain columns that aren’t relevant to your investigation. To make it easier to emphasize the remaining columns, such columns must be removed from the Data set. By supplying label names and related axes or by directly defining index or column names, the columns can be eliminated. Labels on multiple stages can be removed using a multi-index by designating the level. In R, you may occasionally need to eliminate one or multiple specified columns from a data frame. Fortunately, there is some built-in method from the R module that makes that simple. Dropping columns from a data set is simply a method of removing unnecessary columns from the data frame. In this post, we will look at various distinct methods for removing columns by title from a Data set in R.” # ⚓ Linux Hint ☛ R_–_with()_and_within()_Functions⠀⇛ In this R tutorial, we will discuss with() and within() functions performed on the data frame. Let’s create a data frame with four rows and five columns. # ⚓ Undeadly ☛ Game_of_Trees_0.74_released⠀⇛ For those who have been paying attention to the Game of Trees development list, there has been a lot going on with got(1). Apologies here at undeadly for having missed some release announcements! # ⚓ OpenSource.com ☛ Build_Design_Thinking_into_your_team processes⠀⇛ Teams require some kind of process to coordinate work and ensure that the output of many focuses on a singular goal. Within the software industry, this has taken the form of teams following a methodology such as Agile. In industries from pharmaceutical to manufacturing, Lean is the philosophy followed to ensure that a process is adhered to. The difficulty with a process is that it’s prescriptive. It’s designed in such a way that you stay on the tracks that it provides. If you do, you achieve the prescribed benefits and ultimately a form of success. That doesn’t give much room for paradigm- level shifts in work behavior. In early 2020, one such shift hit the global workplace in the form of COVID-19. Many companies self-enforced a remote strategy as people were forced to adapt to working from home. Years later, that flexibility is here to stay. This disruptor has brought new challenges in how we facilitate our process, and the ceremonies associated with it. The engagement paradigm of trying to bring people together on a problem, and to keep them attentive, productive, and happy is challenging when your interaction medium is limited to the screenspace a person is using. Engagement through a camera lens masks the environmental conditions that could also be hampering participation, from suboptimal work space conditions to barking dogs, crying kids, or noisy neighbors. When you throw in the natural distractions that working on a computer can bring (instant messaging, emails, social media, cat memes, and more) the conditions for collaboration, innovation, and problem solving tends to suffer. Combining all of those elements gives you a perfect storm, especially when you ask a human to concentrate on just one topic for a prolonged period of time. # § Perl / Raku⠀➾ # ⚓ Linux Hint ☛ Use_of_PERL_substr()_Function⠀⇛ “PERL substr() function is mainly used to cut the particular portion of the main string. This function can also be used for replacing the portion of the main string with another string. Different ways to cut or cut and replace a particular portion of the string have been shown in this tutorial by using the PERL script.” # ⚓ Linux Hint ☛ Use_of_PERL_join()_Function⠀⇛ “The join() is a built-in function of PERL that is used to create a string value by combining multiple string values or the array values with a specific string value. The joining string value will be added between two values of the array. Different uses of the join() function have been shown in this tutorial.” # ⚓ Linux Hint ☛ Use_of_PERL_glob()_Function⠀⇛ “PERL glob() function is mainly used to retrieve all content or the particular content of a directory. The regular expression pattern can be used with this function to match the particular files and folders of a directory. Different symbols are used to define the pattern that will be used to retrieve the content of the current directory or the specific directory. The uses of the glob() function without pattern and with the pattern have been shown in this tutorial.” # § Python⠀➾ # ⚓ Check_if_a_File_Exists_Using_Python_–_Pi_My_Life_Up⠀⇛ If you plan on using files in your Python script, you will likely want to check whether the file exists before performing any file operations. Luckily, checking if a file exists is straightforward in Python, thanks to the pathlib and os modules. # § Java⠀➾ # ⚓ The Register UK ☛ Java_SE_6_and_7_devs_weigh_their options_as_support_ends_•_The_Register⠀⇛ Oracle Java Development Kit 6 and 7 support ends this week, leaving a sizable chunk of developers looking at their options. Around 15 percent of Java developers still use JDK 7, according to a survey by JRebel, which produces its own code development environment. That being the case, around a million developers could end up without software patches and security updates, potentially risking reliability, security, and productivity. Java SE 7 was the first release of the popular development environment since Oracle inherited the object-oriented language via the $7.4 billion acquisition of Sun Microsystems. * § Leftovers⠀➾ o ⚓ The Nation ☛ The_Life_and_Times_of_Cookie_Mueller⠀⇛ What is it about a certain sort of authoress that triggers a reader’s instinct for self-identification? Enough ink has been spilled on the topic of women who think they are Joan Didion to slouch us all the way towards Bethlehem and back. Eve Babitz, too, has become an eidolon for a certain set of bookish women who long to strip down to their skivvies for a game of chess with Marcel Duchamp. It seems to me that Cookie Mueller, who shares with Didion a talent for capturing a cultural scene, and with Babitz a life lived at the center of the party, is the latest writer to be elevated to this kind of type. Though Mueller is perhaps best known for starring in the early films of John Waters—and especially the infamous sex scene in Pink Flamingos involving a ménage à trois with a chicken—the publication of her collected stories and articles, Walking Through Clear Water in a Pool Painted Black, is sure to bring her writing to the fore.  o ⚓ Meduza ☛ ‘People_were_dancing_on_the_edge_of_a_volcano’_Historian Dan_Healey_explains_his_research_on_‘homosexual_desire_in revolutionary_Russia’_and_‘sexual_dissidents’_of_the_Soviet_era_— Meduza⠀⇛ The Garage publishing house in Moscow has released a new Russian-language translation of historian Dan Healey’s 2001 book, “Homosexual Desire in Revolutionary Russia: The Regulation of Sexual and Gender Dissent,” about the homosexual subcultures of St. Petersburg and Moscow and the ambiguous attitude of the late Tsarist regime and revolutionary rulers toward gay men and lesbians. The only previous translation was published in 2008, and Healey says this version is missing the voice he intended (though the troubled edition didn’t stop the book from becoming Russia’s most detailed biographical study of local queer culture from the era). Meduza spoke to Healey about how he’s studied the history of queer people in a country where it’s still safest not to mention them at all. o ⚓ Hackaday ☛ Hacking_A_Jack-in-the-Box_To_Be_Extra_Surprising⠀⇛ A Jack-In-The-Box is scary enough the first time. However, if you’ve seen the clown pop out before, it fails to have the same impact. [Franklinstein] decided that swapping out the clown for an alternative payload would deliver the fright he was after. o § Science⠀➾ # ⚓ Hackaday ☛ Transparent_Cylinder_Shows_You_What_You_Otto Know_About_4_Cycle_Engines⠀⇛ When we think of a typical four stroke internal combustion engine, we think of metal. And for any type of longevity or performance, that’s certainly the right choice. But [Integza] wanted to see what happens inside a 4 stroke engine, and it wasn’t enough to see it from a transparent cylinder head. No, he wanted to see it in the cylinder itself. Thanks to advances in material sciences, he got his wish as seen in the video below the break. o § Hardware⠀➾ # ⚓ Hackaday ☛ How_To_Make_A_Model_Roller_Coaster_Without_Any Moving_Parts⠀⇛ Roller coasters are not only great fun to ride, they’re also fascinating pieces of engineering. Building your own full-size coaster is sadly beyond most people’s means, so the average enthusiast will have to settle for simulation or modelling of their own designs. [Jon Mendenhall] is one of those who specialize in building model roller coasters and simulating their motion in intricate detail. His latest project is a scale model of VelociCoaster, a Jurassic Park-themed ride in Universal’s Islands of Adventure, that simulates the coaster’s ride without using any moving parts. # ⚓ Hackaday ☛ 3D_Printed_Skate_Trucks_Do_Surprisingly_Okay⠀⇛ If you can buy something off the shelf, there’s a good chance that someone has tried to 3D print their own version. [Daniel Norée] did just that with skateboard trucks, whipping up a design of his own. # ⚓ Hackaday ☛ Long-Range_Thermocouple_Sensor_Sips_Battery Power⠀⇛ Sometimes you need to know the temperature of something from a ways away. That might be a smoker, a barbecue, or even a rabbit hutch. This project from [Discreet Mayor] might just be what you’re looking for. # ⚓ Hackaday ☛ Ask_Hackaday:_Resin_Printer_Build_Plates⠀⇛ The early days of FDM 3D printing were wild and wooly. Getting plastic to stick to your build plate was a challenge. Blue tape and hairspray-coated glass were kings for a long time. Over time, better coatings have appeared and many people use spring steel covered in some kind of PEI. There seem to be fewer choices when it comes to resin printers, though. We recently had a chance to try three different build surfaces on two different printers: a Nova3D Bene4 and an Anycubic Photon M3. We learned a lot. # ⚓ Hackaday ☛ Cut_Just_About_Anything_With_This_Combination Lathe_And_Wire_EDM⠀⇛ They say that if you have a lathe, you have every other machine tool too. To some degree, that’s true — you can make almost anything on a lathe, including another lathe, and even parts best made on other machine tools can usually be made on a lathe in a pinch. But after seeing this lathe attachment for a DIY electric discharge machining tool, we might be inclined to see the EDM as the one machine tool to rule them all. o § Health/Nutrition/Agriculture⠀➾ # ⚓ Counter Punch ☛ The_Journo-Pushers_of_Prozac⠀⇛ Ms. Schwartz is a journo-pusher. She begins by quoting a nurse with two small children who says, “I should have gone back on medication sooner in the pandemic than I did.” According to Schwartz the nurse “weaned herself off in time for her first pregnancy” –implying, but not saying that it was easy.  When postpartum depression set in, the nurse went to a talk therapist who taught mindfulness and meditation.  “After a complicated second birth,” Schwartz goes on, “she decided she needed more than just talk… She turned to Prozac again. Now, she said, ‘I’m a different person.’” Schwartz informs us that “millions of Americans… started or restarted psychiatric medication during Covid’s long and dreary run” but can’t be more specific because, she says matter-of-factly, “Tracking exactly which pills Americans are swallowing these days is difficult because much of this information is privately held.”   # ⚓ Democracy Now ☛ New_988_Suicide_Hotline_Launches_Amid Mental_Health_Emergency,_Pandemic,_Gun_Violence,_Opioid Crisis⠀⇛ A new 988 suicide and crisis hotline launched Saturday that people can call, text or chat. The three-digit shortcut phases out the 1-800-273-TALK number. Until now, the 988 lifeline was only available in some parts of the United States. We speak with Congressmember Jamie Raskin, who helped introduce legislation that provides funding for states to implement the rollout. His son Tommy tragically died by suicide at the age of 25 in December 2020 after a battle with depression. “We’re living in a very tough time … with COVID-19, with the opioid crisis, with gun violence, with the civil division and polarization,” notes Rep. Raskin. “These things have made it very rough on young people. The surgeon general has declared a national mental health emergency.” o § Proprietary⠀➾ # ⚓ Computer World ☛ Will_new_EU_[cryptocurrency]_rules_change how_ransomware_is_played?⠀⇛ So what exactly has the EU done? The Council of the European Union said the bloc has reached a “provisional agreement” on a new landmark regulatory framework for cryptocurrencies. The agreement’s text is not final, so it’s not clear what will ultimately be included. An EU official told me “the text will be ready in time for the confirmation of the provisional agreement by ambassadors of EU member states at one of the Coreper meetings, not before September.” # ⚓ The Register UK ☛ Microsoft_blames_storage_error_for_Teams outage⠀⇛ The outage appears to be global, but Microsoft is perhaps a little fortunate that the incident struck when the working day was all but over in the US, and in the dark of the European night. Most of the reaction The Register can find is therefore from the Asia-Pacific region, where businesses such as an Australian horse-racing organization have been disrupted. # ⚓ India Times ☛ Microsoft_Teams_down_for_thousands_of_users, CIO_News,_ET_CIO⠀⇛ According to Downdetector.com, there were more than 4,800 cases of customers reporting troubles with Microsoft Teams. # ⚓ Microsoft_retains_commercial_open_source_apps_on_Window Store_–_New_Telegraph⠀⇛ Microsoft said it has decided not to implement a policy to ban developers from selling open source software on Windows Store. The policy to ban commercial open source apps was set to go into effect from July 16. Microsoft has now removes the mention of open source software from its… # ⚓ GeekWire ☛ Microsoft_eliminates_open_jobs_amid_economic downturn_–_GeekWire⠀⇛ # ⚓ The Verge ☛ Google_pauses_hiring_for_two_weeks_to_‘review our_headcount_needs’⠀⇛ Google has internally announced a hiring freeze that will remain in place for two weeks. According to a report from The Information, Prabhakar Raghavan, Google’s senior vice president, sent out an email to inform workers about the decision. This follows Google’s announcement of a hiring slowdown that will last until the end of this year. o § Security⠀➾ # § Privacy/Surveillance⠀➾ # ⚓ Malwarebytes Labs ☛ TikTok_is_“unacceptable_security risk”_and_should_be_removed_from_app_stores,_says_FCC⠀⇛ Brendan Carr, the commissioner of the FCC (Federal Communications Commission), called on the CEOs of Apple and Google to remove TikTok from their app stores. In a letter dated June 24, 2022, Carr told Tim Cook and Sundar Pichai that “TikTok poses an unacceptable national security risk due to its extensive data harvesting being combined with Beijing’s apparently unchecked access to that sensitive data.” # ⚓ The Sunday Times UK ☛ Breeze_through_border_control in_‘contactless_corridors’⠀⇛ An official said that passengers would barely notice they were being checked as they walked to the exit. Foreigners travelling to Britain would have to submit biometric details through a smartphone app as part of the new Electronic Travel Authorisation (ETA) scheme, ministers said. # ⚓ Mirror UK ☛ Tourists_must_send_photo_of_faces_to_Home Office_before_visiting_UK_from_next_year⠀⇛ # ⚓ Express ☛ From_makeup_to_hairstyles_-’unexpected’ reasons_your_passport_application_may_be_rejected⠀⇛ Perhaps the most well-known rule about passports is that you can not smile in your photograph. # ⚓ The Independent UK ☛ Home_Office_to_pilot ‘contactless_corridors’_to_allow_travellers_to_breeze through_border_control⠀⇛ The Times reported that this would be made possible through the use of facial recognition technology. Foreigners arriving in Britain would have to submit biometric details through a smartphone app as part of the new Electronic Travel Authorisation scheme, the paper reported. # ⚓ The Conversation ☛ Even_if_TikTok_and_other_apps_are collecting_your_data,_what_are_the_actual consequences?⠀⇛ But as Australian Strategic Policy Institute (ASPI) analyst Fergus Ryan has observed, it’s not about where the data are stored, but who has access. # ⚓ Techdirt ☛ EU_Commission_Sued_For_Violating_Its_Own Data_Protection_Rules⠀⇛ We’ve highlighted for years the problems with the data protection regime in the EU, mainly the GDPR, but other aspects as well. The underlying idea — that people have a right to have their data protected — may seem sound and logical, but in practice it’s generally been a total mess*, that has likely caused much more harm than its solved. We recently wrote about the surprising news that the EU’s top data protection official was finally admitting that the GDPR really hasn’t worked out the way anyone expected, which was so surprising since it’s become important for EU “data protection” experts to prop up the myth that the GDPR has been a success. # ⚓ Techdirt ☛ Lawmakers_Push_FTC_To_Crack_Down_On_Sleazy VPN_Industry⠀⇛ Given the seemingly endless privacy scandals that now engulf the tech and telecom sectors on a near-daily basis, many consumers have flocked to virtual private networks (VPN) to protect and encrypt their data. One study found that VPN use quadrupled between 2016 and 2018 as consumers rushed to protect data in the wake of scandals, breaches, and hacks. o § Defence/Aggression⠀➾ # ⚓ Counter Punch ☛ A_“Service_Candidate”_Showdown:_Post_9/11 Veterans_Against_Each_Other⠀⇛ Writing on behalf of About Face, a network of post- 9/11 veterans and active duty service members, the 31-year-old former Army captain lamented the fact that neither major party had fielded an “anti-war candidate.” According to DeBarros, who served in Afghanistan, there was no forgiving Biden for the enormous harm resulting from his initial support for open-ended warfare in the Middle East. “Many of us,” she wrote, “deployed under the Obama-Biden administration—where despite all their promises to end occupations—we witnessed their devastating expansion of militarism instead.” On the other hand, President Trump was “doubling down on those wars, by dropping record-breaking numbers of bombs on Afghanistan and beyond,” negotiating the largest arms deal in US history, and expanding “terrifying state violence” at home, directed at police brutality protesters. Even if Biden beat Trump, DeBarros predicted, “the realities of war and militarism” would remain pretty much the same. Anti-war veterans and the larger peace movement would still need to organize against ever-increasing Pentagon budgets and new opportunities to project U.S. military force around the globe, to the detriment of social programs and the fight against climate change. # ⚓ Rolling Stone ☛ Exclusive:_Jan._6_Committee_Plans_to Humiliate_MAGA_Lawmakers_Who_Cowered_During_Capitol_Attack⠀⇛ In the 18 months since the insurrection, Republican lawmakers have tried to whitewash the insurrection through a series of contradictory talking points. Republicans have alternately downplayed the attack by calling it “a peaceful protest,” claimed it was violent but that the violence was carried out solely by nonexistent “antifa” at the Capitol or federal informants, or that Democrats were to blame for failing to adequately defend the Capitol against the protesters they variously claim weren’t violent or a threat. # ⚓ CNN ☛ Secret_Service_gives_thousands_of_documents_to January_6_committee,_but_hasn’t_yet_recovered_potentially missing_texts⠀⇛ Before the phone migration, Secret Service employees were supposed to manually back up their text messages. If any employees skipped that step, their texts would have been permanently deleted when their phones got wiped during the migration. # ⚓ TruthOut ☛ The_Secret_Service_Has_Managed_to_Locate_Only One_Coup-Related_Text_Message⠀⇛ # ⚓ VOA News ☛ Al-Shabab_Attacks_Somali_Towns_Close_to Ethiopian_Border⠀⇛ A security official who requested anonymity because he is not allowed to speak with media told VOA’s Somali Service that al-Shabab first attacked a Liyu police camp in Aato town; a local Bakool region official confirmed the al-Shabab then carried out a second attack on Yeed, where militants again entered a Liyu police encampment. # ⚓ RTL ☛ Amnesty_urges_probe_into_‘horrific’_ethnic_massacre in_Ethiopia⠀⇛ The attackers unleashed a campaign of summary executions of ethnic Amhara, while also looting and burning homes, in claims corroborated by satellite imagery which showed evidence of fires breaking out in the area, Amnesty said. # ⚓ Common Dreams ☛ Electoral_Count_Reform_Hailed_as_‘Essential First_Step’_Toward_Safeguarding_US_Democracy⠀⇛ Democracy advocates on Wednesday welcomed as important progress the introduction of legislation to reform and modernize the Electoral Count Act, a 19th-century law that former President Donald Trump attempted to invoke in his failed attempt to overturn the 2020 presidential election.  “January 6 was a warning, and one that cannot be ignored. Failure to act is not an option and imperils the country’s future.” # ⚓ Democracy Now ☛ “Hit_Against_American_Democracy”:_Rep. Raskin_on_Purge_of_Secret_Service_Texts_Jan._6_Committee Sought⠀⇛ Ahead of the eighth hearing of the House Select Committee to Investigate the January 6th Attack on the United States Capitol, we speak with Congressmember Jamie Raskin, a member of the select committee, and get an update on how the Secret Service has only provided a single text exchange from the insurrection and may have purged the messages after oversight officials requested them. “We want all of the evidence, we’re determined to get all of the evidence, but the picture is very clear at this point about what happened. This was an organized hit against American democracy in order to overturn a presidential election,” says Raskin. The committee will hold its eighth hearing on Thursday. # ⚓ Democracy Now ☛ “Extremist_Ideology”:_Rep._Raskin_on_Trump- Backed_Dan_Cox’s_Victory_in_GOP_Gov._Primary_in_Maryland⠀⇛ We speak to Maryland Democratic Congressmember Jamie Raskin, member of the House January 6 select committee, about the pro-Trump Republican who won Tuesday’s gubernatorial primary in the state and helped organized buses to the insurrection. Dan Cox is the latest in a slate of Republicans across the U.S. to advance in the party after supporting Trump’s election lies. If elected, Cox has vowed to conduct a forensic audit of the 2020 election. He also wants to ban abortion in Maryland and end what he describes as “sexual indoctrination” in schools. “He obviously speaks to an extreme-right faction in our state that has swallowed Trumpist indoctrination,” says Raskin. “You could not have a purer distillation of dangerous extremist ideology than what is propounded by Dan Cox.” # ⚓ Common Dreams ☛ Docs_Expose_Trump’s_‘Illegal’_Effort_to Help_GOP_by_Weaponizing_Census⠀⇛ A U.S. House of Representatives panel probing the Trump administration’s attempt to add a citizenship question to the 2020 census on Wednesday released a memorandum underscoring that the failed effort was politically motivated. “The documents ultimately obtained by the committee… shed additional light on the depth of partisan manipulation in the 2020 census.” # ⚓ The Nation ☛ Biden’s_Unkind,_Rewind_Approach_to_the_Middle East⠀⇛ Two words describe Donald Trump’s legacy regarding America’s role in the world: discontinuity and disarray. If the Trump presidency had a signature, it was this: No one quite knew what he was going to do next. # ⚓ Counter Punch ☛ A_Gratuitous_Insult_in_Jeddah⠀⇛ In light of all the chaos, death and destruction which the United States has wreaked on the region over the past two decades, many in the region — and even at the table — might have wondered whether this pronouncement should be viewed as a promise or a threat. More importantly, it is remarkable that whoever wrote these words (presumably Tony Blinken and/or Jake Sullivan) did not grasp how insulting they were to the nine leaders to whom they were, at least formally, addressed and to their countries. # ⚓ Common Dreams ☛ Biden_Ripped_for_$1_Billion_UAE_Arms_Deal Days_After_Khashoggi_Lawyer_Sentenced⠀⇛ Progressives this week decried the Biden administration’s approval of a nearly $1 billion weapons support deal with the United Arab Emirates—a move that came days after an Abu Dhabi court controversially sentenced a Virginia civil rights lawyer to three years in prison. The U.S. State Department’s approval of the $980.4 million agreement for “upgrades and sustainment” of the UAE’s fleet of Boeing C-17 Globemaster III military transport planes was announced Tuesday, two days after the Abu Dhabi Criminal Court sentenced Asim Ghafoor to three years behind bars, a fine of over $816,000, and deportation upon completion of his sentence for alleged money laundering and tax evasion. # ⚓ Counter Punch ☛ Biden_in_the_Middle_East⠀⇛ For a U.S. president, it’s all in a day’s work. Let us look carefully at each of these situations, to better understand U.S. hypocrisy, dishonesty and disdain for diplomacy. # ⚓ The Nation ☛ Fighting_Military_Oppression⠀⇛ # ⚓ TruthOut ☛ Wisconsin_Lawmaker_Says_Trump_Is_Still Pressuring_Him_to_Decertify_2020_Election⠀⇛ # ⚓ TruthOut ☛ Giuliani_Ordered_to_Testify_in_GA_Inquiry_of Trump_Attempt_to_Overturn_Election⠀⇛ # ⚓ Meduza ☛ ‘Russia_keeps_making_the_same_mistakes’_Ukrainian comedian_Felix_Redka_on_telling_jokes_to_a_war-weary_country —_Meduza⠀⇛ 24-year-old Felix Redka lives with his family in Sumy, Ukraine, near the Russia border. Before Russia’s full-scale invasion of Ukraine, Redka’s job was arranging Russian comedians’ shows in Ukraine; he would also perform himself. In late March 2022, when there were still Russian troops stationed in his town, Redka and two other comedians arranged a standup comedy show in a Sumy bomb shelter. These days, he spends his time touring around the country, trying to give his compatriots some catharsis as Russia continues to shell Ukrainian cities. Redka spoke to Meduza about what it takes to make a grieving country laugh — and what Ukrainians think about Russians who fail to speak out against the war. # ⚓ Democracy Now ☛ Rep._Jayapal_on_Recent_Death_Threat_&_Gun Violence_Epidemic:_Take_Away_Tools_of_Violent_Racists⠀⇛ We speak with Congressmember Pramila Jayapal, chair of the Congressional Progressive Caucus, after a man was arrested on suspicion of hate crime after neighbors said he allegedly pointed a gun at her home and threatened to kill her. He was found outside of her home last Saturday night with a .40- caliber handgun yelling “Go back to India. I’m going to kill you,” and has since been released from jail as prosecutors say they lack evidence to bring a hate crime case against him, though his weapons have been seized. Jayapal is the first Indian American woman to serve in the House of Representatives. “We need to take away the tools from people who just find it too easy these days to express their hatred, their white supremacy, their racism in violent ways,” says Japayal, who blames the violence against her in part on former President Trump’s boosting of right-wing extremism. # ⚓ Democracy Now ☛ Progressive_Caucus_Chair_Rep._Jayapal_on Her_Own_Abortion_&_Why_Biden_Must_Protect_Right_to_Choose⠀⇛ On Tuesday, 17 Democratic lawmakers, almost all women, were arrested outside the Supreme Court while protesting the court’s recent decision overturning Roe v. Wade. We speak with Congressmember Pramila Jayapal, chair of the Congressional Progressive Caucus, who was one of several Democratic House members who has shared her personal experience of getting an abortion, about what a post-Roe America looks like. “Abortion and the right to make decisions about our own bodies is so innately tied to our ability to control everything in our lives,” says Jayapal. She argues Congress should be prepared to pass national legislation protecting other critical precedents that are now vulnerable to the ultra-conservative Supreme Court, like the right to contraception and marriage equality. # ⚓ Scheerpost ☛ Customary_Barbarity:_Britain’s_SAS_in Afghanistan⠀⇛ The insistence that there is a noble way of fighting war, one less bloody and brutal… # ⚓ Scheerpost ☛ ‘A_Possible_Coup’_Against_The_Labour Government?⠀⇛ Allegations that MI5 officers and sections of the media sought to bring down Britain’s Labour government in the 1960s and 70s have resurfaced, raising fresh questions about plots that remain hidden… # ⚓ Scheerpost ☛ House_Endorses_Expanding_NATO_Into_Sweden_and Finland⠀⇛ The Senate could vote on ratifying Sweden and Finland’s memberships as soon as next week o § Transparency/Investigative Reporting⠀➾ # ⚓ The Dissenter ☛ EPA_Verifies_Claims_Of_Colorado Whistleblowers_Who_Challenged_Corrupt_Air_Pollution_Control Division⠀⇛ o § Environment⠀➾ # ⚓ Mexico News Daily ☛ New_housing_proves_to_be_obstruction for_blue_crabs_heading_for_the_sea⠀⇛ It’s currently spawning season for female blue crabs, which leave mangrove forests when there is a full or new moon to deposit their eggs in the Gulf of Mexico. However, houses in new residential estates in the Riviera Veracruzana are blocking the path to the sea for some crabs. # ⚓ The Economist ☛ Today’s_heatwaves_are_a_warning_of_worse_to come⠀⇛ Increased intensity and frequency (America, for example, had two heatwaves a year in the 1960s and six in the 2010s) is bad enough. Increased simultaneity may be worse. Heatwaves damage agriculture. Simultaneous disruption of plantings or harvests in different places could create crises that cannot be dealt with by moving produce around the globe, because there is little to move. The latest heatwaves have also emphasised how built environments are designed for a bygone climate. To use Britain, again, as an example, parts of the rail network came close to paralysis because the rails on British track beds are optimised to be stress-free at 27°C. Temperatures in the high thirties are outside their comfort zone. Rails can be changed as societies adapt to rising temperatures. But the cost and disruption of upgrading all the infrastructure that will need it, from houses to hospitals to fire brigades, will be immense. Even in rich countries, governments struggle to commit the necessary resources, as America’s is showing with its beleaguered “Build Back Better” package. # ⚓ TruthOut ☛ Ocasio-Cortez_Says_Manchin_Has_Lost_All Credibility_on_Climate⠀⇛ # ⚓ Counter Punch ☛ Joe_Manchin_as_Alibi⠀⇛ Certain things we can stipulate: 1) That the senator from West Virginia is corrupt and a liar. He makes no bones about voting to support the industry that gave him his fortune; and he has broken multiple promises to his colleagues that he would, in the end, support Biden’s signature initiative, Build Back Better. 2) That Manchin’s refusal to support any climate change legislation in BBB is the height of irresponsibility. But is he the devil incarnate? “It seems odd,” says Bill Clinton’s former Chief of Staff and Obama whisperer John Podesta, “that Manchin would choose as his legacy to be the one man who single-handedly doomed humanity.” Sunrise Movement Executive Director Varshini Prakash writes: “This is nothing short of a death sentence.” Jamal Raad, executive director of Evergreen Action says: “He talked about his grandchildren. It turns out that’s all bullshit.” “Manchin is a modern-day villain,” says Penn State climate scientist Michael Mann, “who…is willing to see the world burn as long as it benefits his near-term investment portfolio.” “Mr. Manchin’s grandchildren” writes U.C Santa Barbara Professor Leah Stoke in the NYTimes, “will grow up knowing that his legacy is climate destruction.” Senator Ron Wyden of Oregon said: “This is our last chance to prevent the most catastrophic…effects of climate change.” # ⚓ DeSmog ☛ Aviation_Tycoon_Paid_for_Anti-Net_Zero_MP’s_Tory Gala_Ticket⠀⇛ A leading opponent of climate action in parliament accepted a £2,000 gift from a businessman in the aviation industry, highlighting concerns over the influence of high-carbon interests on British politics. Wycombe MP Steve Baker – who leads an anti-net zero grouping in parliament – attended the Conservative Party’s summer ball last month with a ticket paid for by aviation fuel executive Christopher Harborne, according to the latest register of interests.  # ⚓ Scheerpost ☛ Organizers_Don’t_Care_That_2028_Olympics_Could Be_on_Fire⠀⇛ In the face of climate catastrophe, the 2028 Olympics steam ahead unconcerned that they are making the crisis in Los Angeles County worse. # ⚓ Common Dreams ☛ Disappointed_by_Climate_Speech,_Activists Say_People_Are_Dying_‘While_Biden_Dithers’⠀⇛ Climate campaigners expressed frustration Wednesday after U.S. President Joe Biden announced new climate actions but refused to declare a national emergency, despite mounting public and political pressure. “This week’s apocalyptic heatwaves make it clear that these steps are overdue and way too small.” # ⚓ Common Dreams ☛ Nine_Senators_Urge_Biden_to_‘Act_Boldly’ and_Declare_Climate_Emergency⠀⇛ Just before U.S. President Joe Biden’s speech at a shuttered coal plant, nine U.S. senators on Wednesday demanded that he stop weighing his options and urgently declare a climate emergency. “Declare this crisis the national emergency that it is.” # ⚓ Common Dreams ☛ ‘No_More_Time_to_Lose’:_Biden_Rebuked_for Pushing_Off_Climate_Emergency_Declaration⠀⇛ The White House faced backlash from climate advocates on Wednesday after it confirmed that President Joe Biden won’t be declaring a climate emergency during his speech at a former coal-fired power plant in Massachusetts, remarks that will come as swaths of the Northern Hemisphere are grappling with punishing heatwaves and wildfires. Following reports that Biden was considering declaring a national climate emergency as soon as Wednesday, White House Press Secretary Karine Jean- Pierre told reporters Tuesday that the move is not, in fact, coming this week—if at all. # ⚓ DeSmog ☛ Voters_Agree:_Fossil_Fuel_Funding_in_Climate Research_Is_a_Massive_Conflict_of_Interest⠀⇛ By Celina Scott-Buechler, Common Dreams. Originally published on Common Dreams. Over the past few years, fossil fuel combustion has been responsible for approximately 73 percent of the United States’s greenhouse gas emissions and 89 percent of the world’s emissions. As these emissions have accumulated in the atmosphere, they have increased global average temperatures by more than 1 degree Celsius since preindustrial times — almost 10 percent — and with them the intensity and frequency of costly natural disasters. In 2020 alone, the United States spent $145 billion on disaster recovery — more than the federal government spent on transportation that year. While taxpayers have been forced to pick up the tab for the climate crisis, fossil fuel companies have continued to prosper. In 2021, leading fossil fuel companies made $205 billion in profits, of which their executives pocketed $394 million.  # § Energy⠀➾ # ⚓ The Verge ☛ Tesla_sold_75_percent_of_its_Bitcoin⠀⇛ Tesla already reported vehicle shipment numbers for the second quarter, and now its full Q2 2022 financial report (pdf) reveals it’s dealing with inflation and the overall economic downturn, combined with a plunge in prices of Bitcoin and other cryptocurrencies. In the letter to investors, Tesla execs reveal the company has sold 75 percent of its Bitcoin holdings, adding $936 million in cash to its balance sheet. Last year, Tesla made a $1.5 billion investment in Bitcoin and announced that it would accept Bitcoin as payment. Tesla started accepting Bitcoin in late March, then abruptly reversed itself in May, just 49 days later. # ⚓ Common Dreams ☛ Opinion_|_FERC:_It’s_Time_to_End_the Mountain_Valley_Pipeline⠀⇛ The permit that greenlit the Mountain Valley Pipeline is about to expire. This means Mountain  Valley is again seeking an extension from the Federal Energy Regulatory Commission (FERC). This wouldn’t even be the first time that Mountain Valley needed an extension, as FERC already granted a two-year extension in 2020 (FERC recently faced sharp questioning in federal court  for its handling of that review). On April 9, FERC approved the pipeline to bore under hundreds  of streams, but not before it obtains other necessary permits. FERC should not give Mountain  Valley any more bites at the apple. Prolonging this boondoggle would be unlawful because the  Mountain Valley Pipeline is not needed and its construction would lead to significant  environmental impacts that have been repeatedly ignored by FERC.  # ⚓ Common Dreams ☛ ‘Public_Pressure_Works’:_Postal Service_to_Boost_Electric_Vehicle_Purchases_After Backlash⠀⇛ Pressure from progressive advocacy groups and lawmakers bore fruit on Wednesday when the U.S. Postal Service announced that it would be making 40% of its new delivery vehicles electric, up from Postmaster General Louis DeJoy’s initial plan to electrify just 10% of the mail agency’s aging fleet. “The agency’s original plan for a fleet of 90% fossil fuel trucks should have never been a consideration.” # ⚓ TruthOut ☛ Progressives_Demand_Biden_Immediately_Ban New_Fossil_Fuel_Leases_on_Public_Lands⠀⇛ # § Wildlife/Nature⠀➾ # ⚓ Counter Punch ☛ Sacramento_Bee_Misleads_Readers_on Logging_in_Yosemite⠀⇛ The Sacramento Bee misinformed its readers about logging occurring in Yosemite National Park, and the current Washburn fire near the Mariposa giant sequoia grove (“Did thinning help the Yosemite forest survive the Washburn fire?”, July 17, 2022). First, the Bee’s article repeatedly conveys the notion that the so-called “thinning” occurring in Yosemite National Park’s forests pertains to “brush” and “small trees” the size of “Christmas trees”, and that only a “few larger logs” are being removed. That is inaccurate. I have been to the locations in the Merced giant sequoia grove, and Yosemite Valley, where “thinning” is occurring, and it is commercial logging that includes widespread removal of mature trees. In many areas the logging is so intensive that few, if any, trees remain. I communicated this to the Bee, and sent photos documenting this logging. In an interview last week, I informed the Bee that the John Muir Project’s lawsuit only asks Yosemite National Park to comply with their own 2017 Fire Management Plan, which prioritizes wildland fire and prescribed fire as the management approaches in 99% of the Park. Yosemite’s Fire Plan allows noncommercial thinning of small trees up to 6 inches in diameter, or up to 12 inches in diameter in a few locations, within this 99% if the Park deems it necessary in advance of fire. The lawsuit does not seek to change this, and only seeks to halt illegal commercial logging and clearcutting of mature trees in the Park. # ⚓ The Revelator ☛ Saving_Mother_Earth:_New_Books_About Feminism_and_Women_Protecting_the_Planet⠀⇛ o § Finance⠀➾ # ⚓ Common Dreams ☛ Opinion_|_An_Urgent_Message_for_the_Fed: Don’t_Get_Bullied_Into_Sparking_a_Recession⠀⇛ # ⚓ Common Dreams ☛ Sanders_Files_Amendment_to_Limit_$76 Billion_in_‘Corporate_Welfare’_for_Microchip_Industry⠀⇛ Sen. Bernie Sanders on Tuesday introduced an amendment that would impose restrictions on the billions of dollars in federal subsidies and tax credits that Congress is poised to hand to the profitable U.S. microchip industry, which has been lobbying aggressively for the handouts. Sanders’ proposed changes to the CHIPS Act, which cleared a key procedural hurdle in the Senate Tuesday evening, would prohibit companies that receive subsidies under the bill from using the funds to buy back their own stock, offshore U.S. jobs, or crack down on unionization efforts. The senator argues that no-strings-attached giveaways to the microchip industry would amount to “corporate welfare.” # ⚓ TruthOut ☛ Sanders_Moves_to_Limit_$76_Billion_in_“Corporate Welfare”_for_Microchip_Industry⠀⇛ # ⚓ Meduza ☛ ‘I_am_not_going_to_be_an_oligarch’_Why_Ukraine’s richest_man,_Rinat_Akhmetov,_is_saying_goodbye_to_his_media empire_—_Meduza⠀⇛ Last week, Ukraine’s richest man, Rinat Akhmetov, abruptly announced that he was getting out of the media business. In a statement, Akhmetov said that his media holding would transfer all of its licenses to the state and shutter its digital publications. The decision, he added, was driven by the new “anti-oligarch law” entering into force. “I have never been and am not going to be an oligarch,” he said. By relinquishing control over his media assets, Akhmetov no longer meets the legal definition of an oligarch set out in the law — allowing him to dodge the restrictions that come with it. Does Akhmetov’s departure from the media market mean the sun is setting on the era of oligarch-controlled media in Ukraine? Or does Akhmetov have an ulterior motive for giving up his media licenses? Journalist Konstantin Skorkin explains.  o § AstroTurf/Lobbying/Politics⠀➾ # ⚓ The Hill ☛ House_panel_advances_landmark_federal_data privacy_bill⠀⇛ The House Energy and Commerce Committee vote on the American Data Privacy and Protection Act (ADPPA) is a significant step forward after years of delay in lawmakers taking action on a federal data privacy law, but there are still hang ups that could complicate the proposal moving forward. # ⚓ Taiwan News ☛ US_Senate_moves_closer_to_passing_CHIPS_Act⠀⇛ While the final text of the bill was not made public before the procedural vote, Senate aides told Reuters the legislation includes around US$54 billion (NT$1.61 trillion) in subsidies for U.S. semiconductor firms, in addition to a new, four- year 25% tax credit to get chipmakers to build plants in America. The tax credit is estimated to be worth around US$24 billion. Chipmakers from Asia and the U.S. have said that they would delay or cut U.S. investment if the overdue legislation failed to be passed. Taiwan Semiconductor Manufacturing Co. said the speed of construction for its US$12 billion fab in Phoenix would be dependent on American subsidies, while Taiwan’s GlobalWafers Co. said it would only consider moving forward on a new US$5 billion plant in Sherman, Texas if it was able to secure subsidies. # ⚓ Reuters ☛ U.S._Senate_votes_to_move_ahead_on_chip_bill_to compete_with_China⠀⇛ The U.S. Senate on Tuesday voted to move ahead with a slimmed-down version of legislation to provide billions of dollars in subsidies and tax credits for the semiconductor industry, hoping to ease a shortage that has disrupted production in industries from automobiles to electronics and high-tech weapons. The Senate backed by 64 to 34 a procedural measure setting the stage for potential votes to pass the legislation in the Senate and House of Representatives by the end of next week. # ⚓ Counter Punch ☛ Democracy_is_Under_Siege_in_Small_Town USA⠀⇛ “It would be easier for people to understand what could have happened on January 6th in D.C. if they knew what actually happened on November 10th in 1898 in Wilmington,” Cedric Harrison told me. Harrison leads Black heritage tours around Wilmington. It was on a different scale from January 6th. In 1898, bleeding bodies filled the rivers and the streets. Men drove through residential neighborhoods with guns—including a machine gun—firing bullets. Families ran away and hid in the cemetery and the swamps. # ⚓ The Nation ☛ Merrick_Garland_Isn’t_Being_“Impartial”—He’s Helping_Trump⠀⇛ On Monday night, The Rachel Maddow Show got hold of a memo written by Attorney General Merrick Garland that appears to throw cold water on the idea that Trump or his closest cronies will face any accountability before the midterm elections. # ⚓ Scheerpost ☛ UAW_Delegates_Head_to_Convention_and_Prepare for_First_Direct_Elections⠀⇛ Members of the rank-and-file group Unite All Workers for Democracy leafleted in support of one member, one vote. … # § Misinformation/Disinformation⠀➾ # ⚓ Variety ☛ Instagram,_TikTok,_YouTube_Top_News_Sources for_U.K._Teens,_Ousting_BBC,_Media_Regulator_Report Reveals⠀⇛ Ofcom’s News Consumption in the U.K. 2021/22 report reveals that for the first time, Instagram is the most popular news source among teenagers, used by 29%. TikTok and YouTube are close behind, used by 28% of teenagers to follow news. BBC One and BBC Two — historically the most popular news sources among teens — have been knocked off top spot down to fifth place, below the ITV news cluster. Some 24% of teens 24% use these channels for news in 2022, compared to 45% five years ago. The proportion of teenagers using Instagram’s sister brand Facebook for news has decreased to 22% from 27% last year, and from 34% in 2018. # ⚓ BBC ☛ Teens_turning_to_TikTok_and_Instagram_for_news, Ofcom_says⠀⇛ Yih-Choung Teh, Ofcom’s group director for strategy and research, said in a statement that teenagers nowadays are “increasingly unlikely to pick up a newspaper or tune into TV news”, preferring to stay informed by “scrolling through their social feeds”. # ⚓ Reuters ☛ UK_teens_shun_traditional_news_for_TikTok, Instagram_–_regulator⠀⇛ Ofcom’s latest report on news consumption in Britain outlined how a range of age groups consumed news differently and showed for the first time that Instagram was the most popular news source among teenagers. o § Censorship/Free Speech⠀➾ # ⚓ BBC ☛ Killed_for_blasphemy_in_Nigeria:_‘It_felt_like_a spear_pierced_my_heart’⠀⇛ A mob of classmates beat her to death after accusing her of blasphemy over a voice note she had shared on WhatsApp. # ⚓ EFF ☛ Self-Proclaimed_Free_Speech_Platforms_Are_Censoring Nude_Content._Here’s_Why_You_Should_Care⠀⇛ Most sexually explicit and pornographic content is legal, and engaging with such content on social media platforms allows individuals to build communities and explore their identities. However, the moderation of sexual content has enabled social networks to become the arbiters of how people create and engage with nude content both offline and in the digital space. As a result of this flawed system, a crucial form of engagement for all kinds of users has been removed and the voices of people with less power have regularly been shut down. These companies position themselves as free speech extremists, often for the purpose of rushing to the defense of hateful speech, but even for them, speech around sexuality is beyond the pale. As private entities, these platforms have every right under U.S. law to censor lawful content, and the government can’t tell them what they must publish. But why position themselves as beacons of free speech while also hypocritically limiting content of a legal sexual nature and ignoring the importance of ensuring full access to free speech and expression? # ⚓ Techdirt ☛ As_The_Chinese_Government_Ramps_Up_Oppression, Citizens_Are_Pushing_Back⠀⇛ The Chinese government often seems like an unstoppable force of evil. Perhaps the word “seems” needs to be removed from the previous sentence. The government seems all too capable of keeping a few billion people in line, strongly suggesting it has obtained the oppression cheat codes. # ⚓ Project Censored ☛ THE_PROJECT_CENSORED_NEWSLETTER_July 2022_–_Censored_Notebook,_Newsletters⠀⇛ Macek discussed the work of Project Censored as part of a well-attended panel on “Agenda Cutting” sponsored by the Project’s German sister organization, the News Enlightenment Initiative. Also on the panel were Belorussian journalist and journalism professor Katja Artsiomenka, Munich University researcher Yosuke Buchmeier, and Deutsche Welle’s Head of News, Max Hofmann. The Initiative’s Dr. Hektor Haarkötter, a professor of communication at the Hochschule Bonn-Rhein-Sieg, moderated. # ⚓ EFF ☛ Nigerian_Twitter_Ban_Declared_Unlawful_by_Court: Victory_by_EFF_and_Partners⠀⇛ In June of 2021, Nigerian authorities directed internet service providers in Nigeria to block access to Twitter after the platform flagged and removed a tweet from Nigerian President Muhammadu Buhari for violating its rules. The deleted tweet was seen by some as a threat of genocide; Twitter labeled it abusive. The Nigerian government’s rationale for the ban was vague. The Minister of Information and Culture claimed “persistent use of the platform for activities that are capable of undermining Nigeria’s corporate existence.” ECOWAS joined several cases challenging the Twitter ban,  including prominent Nigerian NGO Paradigm Initiative, Media Rights Agenda, the Centre For Journalism Innovation & Development, International Press Centre, Tap Initiative for Citizens Development and four journalists, represented by Media Defence. Along with Access Now and the Open Net Association, EFF filed a joint application to file as amicus curiae in the case against the ban, brought by the Socio-Economic Rights and Accountability Project (SERAP). In the application, we argued that the suspension of Twitter was not based on any law or court order, nor was it clear what law was breached by the company. Additionally, the application explained the rights contained in several legal codes, including the Nigerian Constitution, the African Charter on Human and Peoples’ Rights (ACHPR), the International Covenant on Civil and Political Rights (ICCPR), and the International Covenant on Economic Social and Cultural Rights (ICESCR). In their decision, the Court agreed, ruling that the suspension unlawfully infringed on freedom of expression and access to information and the media contrary to the ICCPR and ACHPR. The Court ordered the government to ensure that acts of unlawful suspensions don’t happen again in the future; contradicting laws and policies must thus be amended.  The ban was lifted in January of this year after Twitter agreed to some conditions, including registering its operations in Nigeria. But the seven month-ban was particularly troublesome for the country: Twitter is one of the main outlets Nigerians have to criticize their government, and around 20% of the population have an account on the platform. It has played a large role in political discourse in the country: for example, in 2020, the platform was used by activists to organize the largest protests in a decade in the country, against police brutality.  # ⚓ AccessNow ☛ Free_expression_is_not_safe_in_India: government_must_not_slash_social_media_safe_harbour protection_–_Access_Now⠀⇛ In a severe blow to free speech, the Indian government is reportedly gearing up to strip “larger platforms” such as Twitter, Facebook, and Youtube, of immunity against third-party content posted on their websites. This would decisively tip the scales in favour of censorship and fundamentally alter the internet landscape to the detriment of people’s rights. Intermediaries — the platforms hosting the content — in major democracies have safe harbour protection, also known as an “immunity shield,” exempting them from liability for content posted by people who use their platforms. In India, such protection is granted under Section 79 of the Information Technology Act, and has been reinforced by the Supreme Court’s landmark Shreya Singhal judgment. “The safe harbour regime is crucial to strengthening democracy — in India and across the globe. It prevents pre-censorship and over- censorship by platforms, and allows people to exercise their fundamental right to freedom of expression,” said Raman Jit Singh Chima, Asia Pacific Policy Director and Senior International Counsel at Access Now, “With digital authoritarianism on the rise in India, and people’s online freedom hanging in the balance, slashing this immunity would have disastrous consequences. This action is not an effort to rein in big tech, it is a blatant attack on human rights by intimidating the online ecosystem into compliance with censorship.” o § Freedom of Information / Freedom of the Press⠀➾ # ⚓ Meduza ☛ Oligarch_Evgeny_Prigozhin_asks_Russia_to_outlaw Meduza_as_an_‘undesirable_organization’_—_Meduza⠀⇛ Kremlin-linked catering tycoon Evgeny Prigozhin has asked the Russian Prosecutor General’s Office to conduct an audit of Meduza’s activities and designate the news outlet as an “undesirable organization.” o § Civil Rights/Policing⠀➾ # ⚓ The Blind Spot ☛ Spotlight_on_the_‘Uber_Files’⠀⇛ What the gilet jaunes protests in France could not achieve, a recently published exposé about ride- hailing unicorn Uber is apparently on the verge of doing: getting French President Emmanuel Macron to resign. According to French media opposition leaders, incensed by revelations that Macron had backed and facilitated the rollout of the Silicon Valley darling in its heyday period from 2014 to 2016, are now calling for the president’s resignation. And yet, the big mystery at the heart of the whole story is why should “revelations” that have been known for years reemerge in such dramatic form today? Even more inexplicable is how an investigation of this scale could miss the actual story at the heart of the Uber phenomenon: the fact that Uber’s business model was patently suspect from the very beginning and should never have received the massive support from capital markets and the political and media establishment that it did. Let’s take a closer look at the details of the story but also at the media framing of the whole thing. # ⚓ Common Dreams ☛ Opinion_|_Right-Wing_Selfishness_Fuels_the War_on_Abortion_and_Other_Rights⠀⇛ The Supreme Court’s decision to overturn Roe v. Wade was as predictable as it was shocking. Right- wing forces have spent years working to erase the right to abortion, and—for now—they have won. # ⚓ TruthOut ☛ Jayapal_Shares_Her_Own_Abortion_Story_—_and_Why Abortion_Rights_Are_Vital⠀⇛ # ⚓ Common Dreams ☛ ‘Crushing_News’:_Appeals_Court_Greenlights Georgia’s_6-Week_Abortion_Ban⠀⇛ Abortion rights defenders on Wednesday were down but determined after a federal appeals court lifted an injunction on Georgia’s six-week abortion ban, allowing the draconian law to take immediate effect. “Patients… waiting for abortion care that was legal just this morning when they arrived now have lost their right to that medical care and control over their own bodies.” # ⚓ Common Dreams ☛ Opinion_|_The_Political_Power_of_Pro-Choice Activism⠀⇛ On July 8, President Joe Biden signed an executive order that directed the Department of Health and Human Services to take steps to protect and expand access to medical abortion and contraception while ensuring that patients are eligible to obtain emergency care. In addition, the order seeks to push back against threats posed by surveillance in states outlawing abortion by directing federal agencies to take additional actions to protect patient privacy. The order was in response to a two-week pressure campaign by leftists who were frustrated by the Democratic Party’s tepid response to the Supreme Court’s decision in Dobbs v. Jackson Women’s Health Organization, which overturned the 1973 Roe v. Wade ruling protecting abortion rights. Many threatened that they would not fund or vote for the Democratic Party unless leaders took action. # ⚓ Common Dreams ☛ Opinion_|_WaPo_Joined_Right-Wing_Propaganda in_Casting_Doubt_on_10-Year-Old’s_Post-Roe_Nightmare⠀⇛ The story of a ten-year-old child rape victim from Ohio who sought an abortion across the state line in Indiana caught fire in US media, and around the world, after President Joe Biden (7/8/22) brought it up in public remarks. Given the difficulty of defending a law and a culture that produces such a horrific situation, the right wing went into overdrive attacking the story’s veracity.  # ⚓ Pro Publica ☛ Texas_Says_It_Cares_About_Mothers,_but_Its Medicaid_Postpartum_Coverage_Lags_Behind_Most_Other_States⠀⇛ While celebrating last month’s U.S. Supreme Court decision overturning the constitutional right to an abortion, Texas Gov. Greg Abbott pointed to the millions of dollars in spending that state lawmakers approved during the 2021 legislative session to help pregnant women and new mothers. Among the measures he touted was a law that extended Medicaid health care coverage for pregnant women until six months after they give birth or miscarry, exceeding the federal government’s requirement that states provide at least two months of the benefit. # ⚓ Counter Punch ☛ Controlling_Bodies_and_Subverting Democracy⠀⇛ Since then, it has become increasingly clear that our society does not confer rights and dignity on we the people — as seen in the slashing of school food programs, the denial of Medicaid expansion in states that need it most, attacks on Black, Brown, and Native bodies by the police and border patrol, as well as the Supreme Court’s recent decisions to put fossil-fuel companies ahead of the rest of us, guns above kids, and deny sovereignty to indigenous people and tribes, while failing to protect our voting rights and ending the constitutional right to abortion. For millions of us, the Dobbs v. Jackson decision on abortion means that life in America has just grown distinctly more dangerous. The seismic aftershocks of that ruling are already being felt across the country: 22 states have laws or constitutional amendments on the books now poised to severely limit access to abortion or ban it outright. Even before the Supremes issued their decision, states with more restrictiveabortion laws had higher maternal-mortality and infant-mortality rates. Now, experts are predicting at least a 21% increase in pregnancy-related deaths across the country. # ⚓ Counter Punch ☛ The_Shameful_UN_‘List_of_Shame’:_Equating between_the_Israeli_Perpetrator_and_the_Palestinian_Victim⠀⇛ The experts’ statement was forceful and heartfelt. It accused Israel of depriving young Manasra “of his childhood, family environment, protection and all the rights he should have been guaranteed as a child.” It referred to the case as ‘haunting’, considering Manasra’s “deteriorating mental conditions”. The statement went further, declaring that “this case … is a stain on all of us as part of the international human rights community”. Condemning Israel for its ill-treatment of Palestinian children, whether those under siege in war-stricken Gaza, or under military occupation and apartheid in the rest of the occupied territories in the West Bank and East Jerusalem, is commonplace. # ⚓ Common Dreams ☛ Opinion_|_The_UN_Is_Failing_Palestinian Victims⠀⇛ “We regret we failed to protect you.” This was part of a statement issued by United Nations human rights experts on July 14, urging the Israeli government to release Palestinian prisoner Ahmad Manasra. Only 13 years old at the time of his arrest and torture by Israeli forces, Manasra is now 20 years old. His case is a representation of Israel’s overall inhumane treatment of Palestinian children. # ⚓ Common Dreams ☛ AIPAC_Spending_Helps_Corporate_Dem_Glenn Ivey_Beat_Progressive_Donna_Edwards_in_Maryland⠀⇛ Glenn Ivey, a corporate attorney and former top prosecutor in Prince George’s County, defeated his progressive opponent, former U.S. Rep. Donna Edwards, in the Democratic primary for Maryland’s 4th Congressional District thanks in large part to the millions of dollars that pro-Israel lobby groups invested to help him in Tuesday’s race. The United Democracy Project (UDP)—a super PAC launched in December by the American Israel Public Affairs Committee (AIPAC) as a way to legally shell out unlimited sums of money to directly influence elections and counter mounting criticism of Israeli apartheid from within the Democratic Party—spent almost $6 million to oppose Edwards, who served in the House for eight years as a member of the Congressional Progressive Caucus before losing her 2016 Senate bid. # ⚓ Counter Punch ☛ The_Long,_Messy_History_of_Religious Liberty_in_America⠀⇛ The Carson case came from Maine, where areas with too few students to justify a public high school used public money to pay private schools to educate their students. Under its policy, Maine only allowed nonsectarian private schools or nearby public school districts to receive the funds. Parents who wished to send their students to religious schools argued that the policy discriminated based on religion. The court’s majority agreed, ruling that denying state support to students attending religious schools because their schools were religious violated the First Amendment’s protections on religious freedom. In the Kennedy case, the court chipped away at decades of rulings that deemed school employees leading prayer an unlawful establishment of religion because it entangled church and state in the act. In the court’s revised view, coach Joseph Kennedy possessed a First Amendment right to privately prayafter football games on the 50-yard line, permissible even if students joined him in praying. # ⚓ EFF ☛ Letter_to_the_United_Nations_on_Inclusive_Civil Society_Participation⠀⇛ H.E. Ms. Faouzia Boumaiza Mebarki ChairpersonAd Hoc Committee to Elaborate a Comprehensive International Convention on Countering the Use of Information and Communication Technologies for Criminal Purposes Your Excellency, We, the undersigned, represent NGOs accredited to the Ad Hoc Committee to Elaborate a Comprehensive International Convention on Countering the Use of Information and Communication Technologies for Criminal Purposes (hereafter, AHC). Thus far, many of us have participated in both the first and second sessions of the AHC, as well as the intersessionals, whether remotely or in-person. We have also provided our expertise through written and oral input. At this point, we write with regard to the question of hybrid participation, and the ability to make oral interventions during future substantive sessions.  # ⚓ EFF ☛ EFF_Poker_Tournament_at_DEF_CON_30⠀⇛ Take a break from hacking the Gibson to face off with your competition at the tables—and benefit EFF! Your buy-in is paired with a donation to support EFF’s mission to protect online privacy and free expression for all. Play for glory. Play for money. Play for the future of the web. Seating is limited, so reserve your spot today. # ⚓ The Nation ☛ Why_Is_This_Union_Leader_Schmoozing_With_the Enemy?⠀⇛ Surrounded by the vistas of western Montana, the generals of the war against Starbucks baristas will gather on August 3 at a swanky Rocky Mountain resort for three days of discussing labor- management relations. Big Sky Resort is hosting the confab, and when attendees aren’t meeting, they can avail themselves of golf, guided trout fishing, luxurious dining, and spa treatments before retiring to their $600-a-night hotel suites. # ⚓ TruthOut ☛ Poll_Finds_Approval_of_Supreme_Court_Down_22 Points_Over_Past_Year⠀⇛ # ⚓ Common Dreams ☛ Opinion_|_A_Potential_Historic_Political Shift_Is_Taking_Place_Among_Evangelical_Christians⠀⇛ A potentially historic political shift is currently taking place within an unexpected group of Americans: evangelical Christians. In the wake of Donald Trump’s presidency, strains within the evangelical community, especially among people of color, have resulted in significant numbers of people defecting from the right and opening themselves to social justice stances on issues of race, immigration, climate and economic fairness. Should the trend escalate, it could send tremors that extend well beyond the religious community and reverberate throughout U.S. politics. # ⚓ The Nation ☛ SCOTUS_and_the_Catholic_Authoritarian Vanguard⠀⇛ Are Roman Catholics seeking to bring down American democracy? This might seem a strange question to pose during the presidency of Joe Biden, only the second Roman Catholic ever to govern the United States. Yet, try counting the number of times in the course of this Supreme Court term that Justices Samuel Alito, Clarence Thomas, and Amy Coney Barrett have clearly revealed themselves to be fundamentalist Catholics. Much ink was spilled during Barrett’s confirmation process over the likely consequences of the Catholic hyper-majority she would assure on SCOTUS. If we count the Catholic-baptized Gorsuch, the hyper-majority is undeniable: seven, in a court of nine. But the problem isn’t Catholicism itself (Sonia Sotomayor, after all, is one of those seven, and she practices the religion); it’s a nativist, nationalist, racist, sexist Catholic authoritarianism that now holds sway among the majority of lifetime appointees to the highest appellate authority in the republic. # ⚓ Meduza ☛ Russia’s_proposed_book_ban_How_a_new_law_against ‘denying_family_values’_would_spell_disaster_for_the_Russian literary_market_—_Meduza⠀⇛ On July 18, Russian State Duma deputies introduced a bill that would put “denying family values and promoting non-traditional sexual orientations” on par with “inciting ethnic hatred and propagating pornography.” If the bill gets signed into law, it’s sure to do serious damage to Russia’s cultural sphere; it requires, for example, that the government stop granting distribution licenses to films that “promote the denial of family values.” On the print media front, things are looking just as bleak. Meduza literary critic Galina Yuzefovich explains how the proposed law could affect Russia’s publishing industry. # ⚓ Techdirt ☛ One_Way_To_Lose_Judicial_Immunity:_Perform Impromptu_Warrantless_Searches_Of_People’s_Houses⠀⇛ Judicial immunity is one of a handful of absolute immunities. Like the name suggests, absolute immunity is a pretty tough shield to pierce. Every so often, someone will do something terrible enough to be stripped of immunity they assumed was absolute. But those cases are extremely rare. # ⚓ Techdirt ☛ Omnipresent_Fentanyl_Copaganda_Is_Turning_Normal Citizens_Into_Fainting_Goats⠀⇛ For a few years now, uninformed police officials have been making America stupider by pushing the narrative that fentanyl is so dangerous, simply being near it is possibly fatal. Ignoring the fact that drugs must be ingested in some form to do what they’re supposed to do, law enforcement agencies have repeatedly made absurd, completely false claims about the dangerousness of certain drugs merely existing in proximity of responding officers. # ⚓ Telex (Hungary) ☛ Transparency:_Justice_Minister’s proposals_insufficient_for_curbing_corruption⠀⇛ The European Commission launched the Rule of Law procedure against Hungary at the end of April. At the end of June, the Hungarian government addressed EU concerns about the public procurement system, the independence of the investigating and prosecuting authorities, the fight against corruption and agricultural subsidies in a letter sent to the Commission. This week, Justice Minister Judit Varga submitted two bill proposals (which were, of course accepted) to the Hungarian Parliament. # ⚓ TruthOut ☛ House_Passes_Bill_to_Protect_Same_Sex_Marriage With_Only_47_GOP_“Yes”_Votes⠀⇛ # ⚓ Counter Punch ☛ Brazil,_Amazon,_World:_Being_Black⠀⇛ And it’s even more complicated than that. Racism in Brazil is usually narrowly understood as being anti-Black. But prejudice against, and hatred of Indigenous peoples (around 900,000 in some 300 ethnic groups), isn’t considered as racially motivated but, it seems, as some other kind of hostility. So, when Lula introduced the Secretariat for Promotion of Racial Equality during his last mandate, it focused on people of “African descent” and ignored Indigenous peoples and also Asians, especially Chinese (250,000) and Japanese (2.1 million – the largest Japanese population outside Japan) people who also suffer from racism, as do immigrants from countries like Bolivia and Venezuela. The logic of this way of defining racism means that some groups are ignored and others are exempt. Hence, for example, reports of anti- Semitism are rare and Jews (about 120,000) lead an open religious life and are well integrated in all spheres of Brazilian society. After the horrors of Nazism, UNESCO published a document called “The Race Question”, drafted by a committee of white experts including Claude Lévi- Strauss, and revised by anthropologist Ashley Montagu after criticisms voiced by other experts, including Julian Huxley, Gunnar Myrdal, and Joseph Needham (and nary a woman in sight). The report muddied the waters further when the amended version, swapping ethnic group for race, came to the obfuscatory conclusion that, “it would be better when speaking of human races to drop the term ‘race’ altogether and speak of ethnic groups”, reserving race “for anthropological classification of groups showing definite combinations of physical (including physiological) traits in characteristic proportions”. And it declared that Brazil had an “exemplary situation” regarding race relations, and this “harmony” should be explored in further research. In fact, such “harmony” wasn’t all that far from what sociologist Gilberto Freyre fantasised in his book Casa-Grande e Senzala (The Grand House and Slave Quarters, 1933). It was “a near marvel of accommodation: of the slave to the master, of the black to the white, of the son to the father, of the woman to the husband”. # ⚓ Scheerpost ☛ VIDEO:_Police_Used_This_Dangerous_Restraint During_a_Fatal_Arrest,_so_Why_Isn’t_Anyone_Talking_About It?⠀⇛ The death of Christopher Robert Hensley while in custody of Fletcher, North Carolina, police has received little attention. PAR investigates the dangerous restraint police used during his arrest, a… # ⚓ Counter Punch ☛ The_Constitution_versus_“Independent_State Legislature”_Theory⠀⇛ While the case is nominally about who gets to decide whether newly drawn political district lines pass constitutional muster,  its particulars intersect with controversy over something called the “independent state legislature doctrine,” and therefore with disgraced former president Donald Trump’s scheme to overturn the 2020 presidential election using slates of fake alternate electors” to replace the real ones. If the Court gets this wrong, the Democratic Party line goes, state legislative majorities can just throw out presidential election results that don’t go their party’s way, and instead appoint presidential electors who support their preferred candidates. o § Internet Policy/Net Neutrality⠀➾ # ⚓ Broadband Breakfast ☛ Utility_Pole_Owners_Should_Test Structures_Before_Delivery_of_Federal_Funds:_Consulting Firm⠀⇛ Sean Middleton, director of strategy operations at Finley Engineering, said at a Fiber for Breakfast event Wednesday that utility pole operators must conduct a pole-ready analysis to understand the poles’ structural integrity and provide a high- level report of what the poles need to be ready for fiber builds. That includes whether the pole will withstand the weight and strain of additional equipment. o § Digital Restrictions (DRM)⠀➾ # ⚓ NPR ☛ Netflix_loses_nearly_1_million_subscribers._That’s the_good_news⠀⇛ The report notes that Netflix has been trying to transition its service from a library of shows which originated elsewhere, to a platform mostly fueled by its own original content. Their statement says they’re past the most “cash-intensive” part of that transformation, indicating the days of $15 billion budgets for programming may be passing. # ⚓ Hollywood Reporter ☛ Wall_Street_Debates_Netflix:_Is_the Worst_Over_Or_Has_Its_Growth_Stalled?⠀⇛ However, analysts response was more mixed. Some financial observers expressed relief about the results and argued that management was taking control of the company’s narrative again. Others warned that new business initiatives would take time to bear fruit and underlined the challenges for reaccelerating subscriber growth in mature and maturing markets — such as the U.S., Canada and Europe — meaning that investors should for now stay on the sidelines. # ⚓ Techdirt ☛ Netflix’s_Password_Sharing_Crackdown_Has_It Sounding_More_And_More_Like_Comcast⠀⇛ After years of saying password sharing wasn’t really a big deal and was akin to free advertising, Netflix recently announced it would be cracking down on password sharing. It started with a new trial in Chile, Costa Rica, and Peru, where users were forced to pay an additional fee if they shared their password with users outside of their home. o § Monopolies⠀➾ # ⚓ Scheerpost ☛ The_‘Dirty_Quid_Pro_Quo’_Between_Democrats_and Big_Tech⠀⇛ The relationship between tech giants and the Democratic party calls into question the motivation behind blocking legislation aimed at regulating social media. # § Patents⠀➾ # ⚓ Common Dreams ☛ Big_Pharma_Has_Raised_Drug_Prices 1,186_Times_This_Year,_Analysis_Shows⠀⇛ The U.S. pharmaceutical industry exercised its virtually unlimited pricing power to hike costs for patients again this month as Senate Democrats made progress toward a limited deal to regulate out-of-control prescription drug prices, which are forcing millions of people to ration their medication or go without it entirely. A new analysis released Wednesday by Patients for Affordable Drugs estimates that pharmaceutical companies in the U.S. have raised drug prices 1,186 times so far this year, further padding their bottom lines while intensifying the already overwhelming cost burden for patients. # ⚓ TruthOut ☛ Big_Pharma_Has_Raised_Drug_Prices_1,186 Times_This_Year,_Report_Says⠀⇛ # ⚓ Scheerpost ☛ Big_Pharma_Has_Raised_Drug_Prices_1,186 Times_This_Year,_Analysis_Shows⠀⇛ “We must put an end to drug corporations’ unfettered ability to dictate prices at the expense of patients.” # § Copyrights⠀➾ # ⚓ Torrent Freak ☛ Court_Orders_PayPal_&_Alipay_to Freeze_VPN_Company’s_Funds_in_Piracy_Lawsuit⠀⇛ A federal court in Virginia has granted a temporary restraining order that requires PayPal and Alipay to freeze the assets of VPN provider “VeePN”. The order was requested by several filmmakers, who accuse the VPN of promoting the piracy app Porcom Time, and advertising on notorious torrent site YTS.mx. # ⚓ Torrent Freak ☛ After_MPA_Chopped_Off_PrimeWire’s Head,_HydraWire.tv_Grew_Back⠀⇛ After filing a copyright lawsuit in 2021, this April several Hollywood studios and Netflix won a broad injunction to shut down illegal streaming site PrimeWire. It will come as no surprise to learn that is more easily said than done. The MPA says that after the head of PrimeWire was chopped off by an injunction, a new site called HydraWire emerged to mock both Hollywood and the court. # ⚓ Variety ☛ The_End_of_Ownership:_Why_the_Battle_Over Paying_TV_Creatives_Is_Only_Getting_Crazier⠀⇛ The solution for the end of the backend era is a newly imagined model of deal-making. The greatest hurdle in the coming years is access to data, so that talent representatives can assess the performance and value of a property. The cutting edge of making new deals includes a series of elaborately constructed performance bonuses that kick in over a period of years, plus longevity and award bonuses. Industry sources note that in this system, cancellation of a show after two or three seasons is the cruelest cut because bonus payments typically become significant from Season 4 on. * § Gemini* and Gopher⠀➾ o § Personal⠀➾ # ⚓ Talking_about_my_generation⠀⇛ The advantage of the current era is easier UI. Silents and boomers were overjoyed in the era of iPhone and Facebook since they were finally “let in”, and millennials and younger grew up in a Truman Show world where Insta and YouTube were as established and inescapable as TV, radio, roads, and grocery stores had been for us. It’s like that old story of what a fish thinks about water. (With plenty of individual exceptions in all directions because I’m talking cohort trends here; we have our pioneer elders, our non-nerdy peers, and people of all ages who wanna to see behind the curtain of how the tech world works.) # ⚓ Re:_Professional_Goals⠀⇛ Rob is asking themself the same question and comes to a similar conclusion that i do. what the frack do i want to do with my life? what is it that’s fulfilling and gives me meaning? [...] chances are, this has different roots. somewhere in the past. unless you dig deep you won’t be able to find out, but it doesn’t matter. during the time i was asking myself where to find that sign, i was in therapy for something else, but i brought up the topic and we talked about it for a while. the core essence of it all seemed to be, meanining is something you generate yourself, and there won’t be a sign, because you need to create it. my therapist urged me to take a leap of faith. into anything. back then i was sorta starting to paint miniatures. my way to stop playing computer games and waste my time on tv shows, as none of these seemed to make me happier. and painful as it was for me to go against anxiety, i went to a tabletop store and picked up a skirmisher i had never heard of before, but locally it has a community of 60 people. suffice to say, i am still painting those miniatures and i am still playing that game. not because there weren’t many other games that interested me or that i was hyped about. i stuck with that one game because i really wanted to see what will happen if i don’t give up. time and time again you hear people (successful people, famous people, medical practicioners, religious people) say that nothing comes easy or for free in life. when i stuck with one single tabletop for a year, and another year, for the first time in life i started to get what they meant by that. and that allowed me to move forward with the question. still got no clue about the right answer, but at least i stopped looking outwards. # ⚓ Positive_decisions⠀⇛ Recently I thought about decisions in general, and how I usually need motivation. But I think I actually need a positive state of mind, then I must make the decision and just stick to it. And so far, this works. It boils down to commodity and courage. In order to achieve the positive state of mind, I must get out of my comfort zone, and not fear changes. Fear, or lack of courage, is what stops a person from doing a change to their life style. Once the idea that there’s nothing to lose is understood, one can make decision freely, clear headed. # ⚓ The_Peace_of_Summertime.⠀⇛ I love our property in the summer. This is the second summer we have been on this property, and there is something magical about it. The flora grows up so much around the border, that our entire property disappears from outside view. My parents came out to visit, and couldnt find us at first, because all that is visible is a small unassuming driveway, and a wall of green. We set up chairs by the garden and talked about everything. Then I took them for a walk through the recently cleared field. Because we wanted to live as simply as possible when we moved here, I cleared the entire field with a Austrian scythe. I purchased it from a small company in the northeastern U.S. before we moved, had it fitted to my body, and learned how to keep the hand made blade peened and razor sharp. I’ve been cutting with the bush blade about 30 minutes a day, which is enough to keep our non forested area clear. o § Technical⠀➾ # ⚓ Using_another_CSS⠀⇛ # ⚓ Four_short-term_wishes_for_Fedi⠀⇛ I simultaneously want each instance to feel more like a tight-knit, local community (by showing the local timeline, and having each instance have their own style of moderation) while also making it even easier to use one account to follow your favorite Lemmy groups, Pixelfed posters, and fave people from all over, to like and boost posts. Best of both worlds. Your own “home” timeline which is a sprawling eclectic selection of all your own faves from all over, and a local timeline that’s what’s going on in your instance right now, maybe the latter doesn’t even show boosts. This list of four items are all my dreams for the relatively short-term horizon. Longer term, stuff like Bonfire’s attempt to revive visibility circles is interesting. Making social media a little more social and a lot less world- readable. # ⚓ Entertainment_Choices⠀⇛ After a long hiatus, I am back into both a reading (books… Gemini reading has still been daily) and a gaming kick. The reading was still going on a bit, just at a snail’s pace because I just could not get into the novel, The Scarlet Letter. I read this years ago and hated it and struggled to understand it, but wanted to try again. This time, the only thing I struggled to understand was the author’s intro, detailing some of his life and how he came to write the book. The plot, however, gave me little trouble this time around (from the comprehension perspective, at least… the plot itself is awful, hence the pace). I simply didn’t have the vocabulary when reading it all those years ago. Now I am reading a sci-fi novel and it is sucking me in, which is refreshing. =============================================================================== * Gemini_(Primer) links can be opened using Gemini_software. 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Benoît_Battistelli and António_Campinos have never valued patent compliance or quality; now we have concrete evidence of a coordinated effort to open/widen these floodgates THE latest (tenth) part of the series contained a lot of ‘meat’, namely a new leak from a notorious management ‘boot licker’, who had been promoting software patents for years. Now he’s elevated to a position of authority where he deserves none; without qualm — and not much of a pause either — he’s already pushing in the illegal direction he has long preached for. “Legally-invalid monopolies (non-compliant as per the law) would make nobody richer except deep-pocketed corporations and their lawyers. They profit from a hostile and noncompetitive landscape.”The video above covers/explains what this means to coders in Europe, why it should be resisted, and how the EPO basically renders itself obsolete by granting millions of patents, many of which would be rendered invalid if tested in court. A real court, not an EPO-controlled tribunal. The EPO leaves a lot of toxic waste and a mess for short-term financial gain. Legally-invalid monopolies (non-compliant as per the law) would make nobody richer except deep-pocketed corporations and their lawyers. They profit from a hostile and noncompetitive landscape. █ ䷩ 𝚕𝚒𝚗𝚎 7084 ╒═══════════════════ 𝐃𝐀𝐈𝐋𝐘 𝐋𝐈𝐍𝐊𝐒 ═════════════════════════════════════════════╕ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 07.21.22⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ Gemini_version_available_♊︎ ✐ Links_21/07/2022:_More_GNU/Linux_Laptops_and_More_Typical_FUD_Against_Linux⠀✐ Posted in News_Roundup at 3:09 pm by Dr. Roy Schestowitz 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈ § Contents⠀➾ * GNU/Linux o Desktop/Laptop o Google o Audiocasts/Shows o Kernel_Space o Applications o Instructionals/Technical o Desktop_Environments/WMs # GNOME_Desktop/GTK * Distributions_and_Operating_Systems o Red_Hat_/_Fedora_/_IBM o Debian_Family o Canonical/Ubuntu_Family o Devices/Embedded o Open_Hardware/Modding * Free,_Libre,_and_Open_Source_Software o Events o Web_Browsers # Chromium # Mozilla o Content_Management_Systems_(CMS) o Programming/Development # Perl_/_Raku * Leftovers o Hardware o Security # Fear,_Uncertainty, Doubt/Fear-mongering/Dramatisation # Privacy/Surveillance o AstroTurf/Lobbying/Politics # Misinformation/Disinformation o Internet_Policy/Net_Neutrality o Digital_Restrictions_(DRM) o Monopolies * Gemini*_and_Gopher o Personal o Technical * § GNU/Linux⠀➾ o ⚓ Linux Links ☛ Linux_Around_The_World:_Netherlands_–_LinuxLinks⠀⇛ We cover events and user groups that are running in Netherlands. This article forms part of our Linux Around The World series. o ⚓ Make Use Of ☛ macOS_vs._Linux:_5_Key_Differences_You_Should Know⠀⇛ Much as these two operating systems have in common, they are unique in their own ways. Let’s take a look at some key differences between macOS and Linux. Brief History of macOS and Linux The main parts of macOS and Linux are the kernel, core utilities, the GUI or desktop environment, and applications. macOS is based on a BSD Unix kernel known as Darwin which is open-source. The other parts of macOS (for example, the GUI and core applications) are closed-source and proprietary. Apple builds and maintains these software systems and they come as part of your Mac device. Apple adopted Unix into macOS in the early 2000s. Prior to that, macOS was based on a non-Unix operating system. Linux on the other hand started out as a personal project and as a clone of the Unix operating system in the early 90s by Linus Torvalds. Strictly speaking, Linux is just the kernel. The operating system itself is made up of core parts such as the GNU utilities, and desktop environments such as GNOME, KDE, etc. o § Desktop/Laptop⠀➾ # ⚓ 9to5Linux ☛ System76′s_Oryx_Pro_Linux_Laptop_Gets_a_12th Gen_Intel_CPU,_NVIDIA_RTX_3000_Ti_GPUs⠀⇛  It’s been ten months since the last Oryx Pro refresh and now System76 has updated its flagship Linux laptop with the new 12th Gen Intel Core “Alder Lake” i7-12700H processor that boasts 14 cores and 20 threads at a range of 1.7 to 4.7 GHz clock speeds, and 24 MB cache. But the Alder Lake processor isn’t the only component that was upgraded in the refreshed Oryx Pro as customers will now be able to configure the Linux laptop with either NVIDIA RTX 3070 Ti with 6144 CUDA Cores or NVIDIA RTX 3080 Ti with 7424 CUDA Cores dedicated graphics cards. # ⚓ Beta News ☛ System76_Oryx_Pro_gets_Intel_Core_i7-12700H_and GeForce_RTX_3070/3080_Ti⠀⇛ If you want a thin and light Linux laptop, there are plenty of options on the market these days, including the excellent HP Dev One. A svelte laptop is ideal for those that travel often and highly value having something lightweight. Some consumers, however, don’t care about the heft of a Linux laptop at all. These performance-junkies want hardcore specifications… weight be damned! For these folks, the System76 Oryx Pro has long been an excellent option. This hefty portable workstation is a great choice for both gamers and enthusiasts. Today, the Oryx Pro — which can weigh up to 6.17 pounds — gets a huge refresh. You see, the Linux laptop (available with either a 15.6-inch or 17.3- inch display) now comes with the powerful 12th gen Intel Core i7-12700H standard. Equally impressive are the GPU options — you can choose between an NVIDIA RTX 3070 Ti or RTX 3080 Ti. Wow! # ⚓ Its FOSS ☛ Dell_XPS_13_Plus_(Developer_Edition)_Gets Certified_for_Ubuntu_22.04_LTS_–_It’s_FOSS_News⠀⇛ Dell XPS is a premium lineup of laptops suitable for professionals and business users. And it is also one of the most preferred laptops to run Linux. But, if you have always wanted to get a Dell XPS laptop tailored for Ubuntu’s latest and greatest, the Dell XPS 13 Plus Developer Edition is for you. The developer edition for the 13-inch XPS laptop is now certified to work with Ubuntu 22.04 LTS. # ⚓ Yahoo News ☛ Dell’s_XPS_13_Plus_Developer_Edition_is_the first_laptop_certified_for_Ubuntu_22.04_LTS⠀⇛ # ⚓ The Register UK ☛ Dell_and_Ubuntu_certify_latest_model_of XPS_13_ultrabook_•_The_Register⠀⇛ Dell’s latest XPS 13 ultrabook is now certified for version 22.04 of Ubuntu’s operating system. Starting next month, the “developer edition” of Dell’s long-running XPS series of thin and light laptops, the Alder Lake-based 2022 XPS 13, will be available with “Jammy Jellyfish” pre-installed, but existing owners can install it now and get full driver support. This isn’t a big surprise, the previous version of the laptop was certified to run the previous Ubuntu LTS. The announcement is the latest installment in Dell’s decade-old “Project Sputnik” program, although there were some bumps and it did take a few years to reach worldwide availability. For now, five models of XPS 13 seem to be the only certified devices, but more will follow. Canonical lists three whole manufacturers – Dell, HP, and Lenovo. There are several reasons this matters. For one, if you’re a big customer buying thousands of units, you want assurance they will work. The certification lends legitimacy to both companies, and the work that went into the drivers will help compatibility on other machines. The device’s keyboard is “zero lattice” instead of a chiclet design. This means that there are no gaps between the keys. While that sounds good, the keyboard’s total flatness and 1mm key travel do not. The trackpad blends seamlessly into the glass fascia, which looks neat but will doubtless make it hard to locate by eye or by touch, especially the all-important tap zones in the lower corners. o § Google⠀➾ # ⚓ Video ☛ Google_wants_to_REPLACE_LINUX?,_GNOME_43,_and Unreal_Engine_on_Linux_–_Linux_and_Open_Source_News_– Invidious⠀⇛ # ⚓ AboutChromebooks ☛ How_to_install_ChromeOS_Flex_the_hard way⠀⇛ Now that Google ChromeOS Flex is generally available and supports more than 400 devices, I decided to give it a try. I grabbed my daughter’s old MacBook Air from 2013, which was collecting dust. And I went through the process, which is about as easy as it can be. Still, I learned how to install ChromeOS Flex the hard way during this process. Before sharing the often frustrating experience in this particular case, I want to be clear. I love what Google is doing with ChromeOS Flex. The ability to repurpose old computers from running macOS or Windows so they can continue on with ChromeOS is brilliant. It will reduce e-waste while also saving both consumers and businesses money since they can reuse computers they already own. o § Audiocasts/Shows⠀➾ # ⚓ Bad_Voltage_3×48:_Brave_Internet_Explorers⠀⇛ Stuart Langridge, Jono Bacon, and Jeremy Garcia present Bad Voltage, in which everyone’s middle name is Elaine, there is discussion of the nature of business in the modern age… # ⚓ Jupiter Broadcasting ☛ Linux_Action_News_250 [Ed: Microsoft hates Linux, but_they_cannot_tell_you_that]⠀⇛ Microsoft makes a hard about-face, a significant fix for Ubuntu 22.04 is in the works, and the recent breakthrough by the Asahi Linux project. # ⚓ The BSD Now Podcast ☛ BSD_Now_464:_Compiling_with_kefir⠀⇛ From 0 to bhyve on FreeBSD, Analyze OpenBSD’s Kernel with Domain-Specific Knowledge, OpenBSD Webzine: ISSUE #10, HardenedBSD June 2022 Status Report, two new C compilers: chibicc and kefir in OpenBSD, SSD TRIM in NetBSD HEAD, and more # ⚓ The TLLTS Podcast ☛ The_Linux_Link_Tech_Show_Episode_963⠀⇛ Joel is the pho. o § Kernel Space⠀➾ # ⚓ TechRepublic ☛ What_are_masked_services_in_Linux,_and_how do_you_manage_them? [Ed: Jack Wallen is conflating Microsoft systemd with Linux]⠀⇛ Have you ever gone to start or stop a service in Linux using the systemctl command only to see a warning such as: Failed to start postgresql.service: Unit postgresql.service is masked You know you installed the Postgresql database server and it was working properly, yet somehow you no longer have control over the service. You can’t manage it in any way. What happened? First of all, masks are a different way of disabling a service. Here’s the difference: When you disable a service with sudo systemctl disable, all symlinks for the service are removed. When masking a service, the symlinks are moved and then point to /dev/null. When you simply disable a service, it can still be started manually. When you mask a service, it cannot be started manually. In other words, masking a service renders the service permanently unusable until it’s unmasked. o § Applications⠀➾ # ⚓ Linuxiac ☛ LightDM_1.32_Display_Manager_Released,_Dropping Qt_4_Support⠀⇛ The LightDM project announced the release of the LightDM 1.32 display manager with a host of fixes. Here’s what is new! A display manager is a program that provides graphical login capabilities for your Linux distribution. It manages user logins and graphic display servers and is used to start an X server session on the same or another computer. LightDM is a popular display manager that is characterized by its ability to work with all desktop environments. It is a lightweight cross- desktop display manager designed to be simple, fast, secure, and flexible. LightDM can use various front-ends called Greeters, a GUI that prompts the user for credentials to draw a User Interface. Additionally, LightDM supports different display technologies, including X11 and Wayland. # ⚓ GNU ☛ LibreJS_–_News:_LibreJS_7.21.0_released_[Savannah]⠀⇛ GNU LibreJS aims to address the JavaScript problem described in Richard Stallman’s article The JavaScript Trap. LibreJS is a free add-on for GNU IceCat and other Mozilla- based browsers. It blocks nonfree nontrivial JavaScript while allowing JavaScript that is free and/or trivial. o § Instructionals/Technical⠀➾ # ⚓ Video ☛ How_to_install_KDE_neon_20220714_–_Invidious⠀⇛ In this video, I am going to show how to install KDE neon 20220714. # ⚓ RoseHosting ☛ How_to_Install_Joomla!_on_Ubuntu_22.04_– RoseHosting⠀⇛ Joomla! is a popular open-source CMS written in PHP. It is built on a model–view–controller web application framework, and it offers many features such as blogs, page caching, support for language internationalization, etc. A number of modules are also available for discussion forums, photo galleries, social media, etc. Joomla! makes it easy to create a personal blog and other personal or community online presences. Installing Joomla! is fairly easy, we will show you how to install Joomla! on Ubuntu 22.04. # ⚓ LinuxConfig ☛ How_to_repair_and_clone_disk_with_ddrescue⠀⇛ ddrescue is a tool that can be used to repair and clone disks on a Linux system. This includes hard drives, partitions, DVD discs, flash drives, or really any storage device. It performs data recovery by copying data as blocks. If ddrescue encounters errors from the data it’s trying to copy, it can discard them and keep only the good data. This makes it an ideal tool when trying to recover data from a corrupted disk. In this tutorial, you will learn how to install ddrescue and use it to clone a full disk or partition, and write that data to an empty storage space. # ⚓ LinuxTechi ☛ How_to_Install_LAMP_Stack_on_Fedora_36_(Simple Guide)⠀⇛ The step-by-step guide on this page will show you how to install LAMP stack on Fedora 36. # ⚓ LinuxConfig ☛ Ansible_Vault_Tutorial⠀⇛ In previous tutorials we discussed Ansible, a great tool we can use for automation and provisioning. We talked about basic Ansible concepts, we saw some of the most used Ansible modules, how to manage variables and how to perform basic loops in playbooks; now it’s time to see how to protect sensitive information which sometimes may be needed to accomplish some tasks. In order to protect sensitive information when using Ansible, we encrypt them with Ansible Vault. In this article we discuss the basics of Ansible Vault, and we see how we can use it to encrypt variables or entire playbooks. # ⚓ LinuxConfig ☛ How_to_run_commands_periodically_with_anacron on_Linux⠀⇛ When we need to schedule a task on a Linux system we can use utilities like cron or systemd-timers. Various implementations of cron exist, but they have in common the fact that they run as a system service, and are designed to be used on systems which are always up and running, like servers. When we need to schedule a task on a desktop or a notebook, which are turned off more often, we can use anacron instead. In this article we learn what is anacron, what are the differences between anacron and cron, and how to use anacron to schedule commands on Linux. # ⚓ LinuxConfig ☛ How_to_change_LibreOffice_language⠀⇛ The purpose of this tutorial is to show how to change the language in LibreOffice on a Linux system. Setting the language in LibreOffice will not only reflect changes in the menus of the application, but will also allow you to get auto correct recommendations in the target language, but these settings can be configured independently of each other. Follow the steps below to get started. # ⚓ LinuxConfig ☛ How_to_enable_language_spell_check_in LibreOffice⠀⇛ The purpose of this tutorial is to show how to enable the language spell check feature in LibreOffice on a Linux system. This will allow you to get spell check and auto correct suggestions in the language of your choosing. Follow the steps below to get started. # ⚓ LinuxConfig ☛ How_to_create_desktop_shortcuts_in_Linux⠀⇛ Many people find it useful to organize some of their most frequented applications as shortcuts on their desktop. This allows for quick launching of programs or custom shortcuts. Although most Linux systems rely on a sidebar app launcher or start menu, desktop shortcut launchers can allow you to open applications or websites super fast, since they live right on your desktop and make the targets only a click away. In this tutorial, you will see how to create desktop shortcuts on a variety of desktop environments, including GNOME, KDE Plasma, Xfce, Cinnamon, MATE, and LXQt. This will include setting a custom icon and name for your desktop shortcut, in order to make them easily identifiable and tailored to your tastes. # ⚓ AddictiveTips ☛ How_to_play_Hollow_Knight_on_Linux⠀⇛ Hollow Knight is a Metroidvania-style action- adventure game developed and published by Team Cherry. Here’s how you can play Hollow Knight on Linux. # ⚓ ID Root ☛ How_To_Install_Tabby_Terminal_on_Ubuntu_22.04_LTS –_idroot⠀⇛ In this tutorial, we will show you how to install Tabby Terminal on Ubuntu 22.04 LTS. For those of you who didn’t know, Tabby (formerly Terminus) is a highly configurable terminal emulator, SSH, and serial client for Windows, macOS, and Linux. Terminus was developed using web technologies and was primarily influenced by Hyper, another web- based terminal. It allows us to operate and automate computer processes without needing a graphical user interface. 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 Tabby Terminal 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. # ⚓ How_to_Install_and_Configure_Apache_on_Ubuntu_–_Pi_My_Life Up⠀⇛ Apache is a popular and powerful HTTP web server. In fact, it is one of the most widely used web servers around. One of the things that have made Apache so popular is its many powerful dynamic modules, easy integration, and robust support. If you want an alternative to Apache, be sure to check out our guide on installing Nginx on Ubuntu. These steps for installing Apache will work on all Ubuntu versions, including Ubuntu 22.04, 20.04, and 18.04. # ⚓ How_to_Add_or_Remove_the_Ubuntu_Universe_Repository_–_Pi_My Life_Up⠀⇛ Ubuntu has several different repositories that give you access to numerous more packages. However, these packages have been separated for various reasons. The Ubuntu universe repository contains community- maintained software. Additionally, the software in this repository must also be free and open-source. An example of a package that you will find within this repository is the open-source and free game SuperTuxKart. # ⚓ How_to_use_the_id_Command_in_Linux_–_Pi_My_Life_Up⠀⇛ The id command in Linux is extremely helpful for finding both the user ID (UID) and group IDs (GID) of a user. Knowing these IDs will be useful for tasks that involve user management. For example, checking if a specific user belongs to a group. For managing users on Linux, several other commands might interest you. For example, usermod, useradd, userdel, and passwd help with the creation and modification of users on a Linux operating system. # ⚓ How_to_Install_DOSBox_on_Ubuntu_–_Pi_My_Life_Up⠀⇛ DOSBox is an open-source emulator for the DOS operating system. It even emulates various features of hardware of the time, such as Tandy/Hercules/ CGA/EGA/VGA/VESA graphics, as well as SoundBlaster/ Gravis Ultra sound cards. # ⚓ Linux Capable ☛ How_to_Install_PHP_8.0_on_Rocky_Linux_9⠀⇛ PHP is a widely-used general-purpose scripting language especially suited for web development. Fast, flexible and pragmatic, PHP powers everything from your blog to the most popular websites in the world. PHP 8.0 is a significant release from PHP 7 series with improvements and changes to the language, including many long-awaited additions by developers everywhere! This includes named arguments; union types. It also boasts improved JIT compilation tools which will help optimize your application code even further than before while increasing performance. As always, this new PHP version comes with several fixes and improvements in addition to the new features. In the following tutorial, you will learn how to import the REMI PHP Module and install PHP 8.0 on Rocky Linux 9 server or workstation desktop, along with some tips about configuring Nginx with FPM using the command line terminal. # ⚓ Dignited ☛ How_to_Set_Date,_Time,_and_Timezone_on_Ubuntu_– Dignited⠀⇛ macOS and Windows absolutely dominate the desktop operating system space but Linux remains one of the most endeared platforms by its users. Of the numerous Linux distros available in the market today, Ubuntu is perhaps the most popular. This is geared towards Linux beginners but its simplicity endears it not only to these noobs but to the experts and pros as well, coders and developers alike. In this post, we look at a relatively simple concept but for immigrants from Windows or macOS, this could be a daunting task to accomplish. Here’s how to set the date and time on your Ubuntu computer. # ⚓ Julia Evans ☛ What_happens_when_you_press_a_key_in_your terminal?⠀⇛ I’ve been confused about what’s going on with terminals for a long time. But this past week I was using xterm.js to display an interactive terminal in a browser and I finally thought to ask a pretty basic question: when you press a key on your keyboard in a terminal (like Delete, or Escape, or a), which bytes get sent? As usual we’ll answer that question by doing some experiments and seeing what happens 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇:)⦈ o § Desktop Environments/WMs⠀➾ # § GNOME Desktop/GTK⠀➾ # ⚓ Ubuntu Handbook ☛ GNOME_43_to_add_‘Device_Security’ Settings_with_Secure_Boot_status_&_HSI_Level_| UbuntuHandbook⠀⇛ GNOME announced the first alpha for the next 43 stable series. See what’s new in this popular Linux desktop environments. GNOME is the default desktop environment for Ubuntu and Fedora Workstation, and optional for Debian, Arch Linux and so forth. The next v43 is planned for September 21, 2022. So far, it features new “Device Security” sub-settings page of “Privacy” in GNOME Control Center. With it, you can easily find out if “Secure Boot” is enabled in your machine. # ⚓ Mini-GUADEC_2022_in_Berlin_|_Philip_Withnall⠀⇛ GUADEC 2022 has been happening in person for the first time in two years, in Guadalajara. Twenty of us in Europe met up in Berlin for a mini-GUADEC, to attend the main conference remotely. There have been several talks given from here using the nice A/V setup in c-base, who are hosting us. I gave my talk this afternoon, on the threading rework which is ongoing in gnome- software. The slides are here, the notes are here (source is here), and the recording should be available soon on the GUADEC YouTube channel. * § Distributions and Operating Systems⠀➾ o § Red Hat / Fedora / IBM⠀➾ # ⚓ Red Hat Official ☛ Linux_fundamentals:_How_to_copy,_move, and_rename_files_and_directories_|_Enable_Sysadmin⠀⇛ Copying, moving, and renaming files and directories are standard tasks for sysadmins and end users. Depending on your Linux distribution, you can accomplish these operations in various ways. The Bash shell is usually the most efficient tool for file management. This article assumes you already have a basic understanding of how to open a Linux terminal and enter commands. (See How to access the Linux terminal if you want a refresher.) Connect to your Linux terminal with your regular user account, and get ready to reorganize. # ⚓ IBM Old Timer ☛ Irving_Wladawsky-Berger:_Web3_– Safeguarding_Our_Identity_and_Personal_Data_in_the_Digital World⠀⇛ Transformative technologies are generally accompanied by a mixture of excitement and confusion in their early years. Something important is going on out there, although there’s no consensus on what it is yet. A major reason for the lack of consensus is that there’s no single dimension around which to define an emerging technology or business model. It’s like the fable of the blind men and the elephant. Each one touches a different part of the elephant. They then compare notes on what they felt, and learn that they are in complete disagreement. This was the case with the advent of the commercial internet in the early 1990s. A lot was starting to happen around the internet, but we weren’t sure where things were heading. It was pretty clear that a communications revolution was underway: after all, the internet was fundamentally a network of networks, and email was one of its earliest and most popular applications. It was also an information revolution: anyone with a browser, a PC, and an internet connection could now access all kinds of content in the new World Wide Web. And, above all, it promised to be an economic revolution: the internet ushered a historical transition to a new kind of digital economy, including many innovative e-business applications. # ⚓ Fedora Project ☛ FWD_2022_call_for_volunteers_–_Fedora Community_Blog⠀⇛ Fedora’s Diversity, Equity, and Inclusion (DEI) team is starting to work on the Fedora Week of Diversity (FWD) 2022. This year, we’ll hold a live event on 14–15 October. We want the FWD to be the best one yet and you can help us accomplish this. This is a great opportunity for you to share your experiences with the Fedora community! The DEI team always welcomes new folks to join! We would love to have a larger group of volunteers to make Fedora Week of Diversity bigger and better this year. Help us celebrate our diverse and inclusive community, by signing up to volunteer. # ⚓ Red Hat Official ☛ Choosing_the_right_Camel_for_your_ride⠀⇛ Apache Camel has been around for more than a decade, and you are probably familiar with the name. But you might not realize that Camel has evolved into multiple innovative solutions, some built specifically to solve the challenges of integration in a Kubernetes and cloud-native environment. Consequently, Apache Camel is still an important developer toolbox for connectivity and digital transformation. o § Debian Family⠀➾ # ⚓ Martina_Ferrari_&_Debian,_DebConf_room_list:_who_sleeps with_who?⠀⇛ Dr Preining has raised fresh concerns about the relationship between Martina Ferrari (anti- harassment team) and Enrico Zini (Debian Account Managers). Credible organizations seek to establish a separation of powers between different decision making bodies, especially the bodies responsible for political prisoners like Dr Preining. Zini alleges Dr Preining has been expelled twice from Debian, this has never happened to anybody before. It is an outrage and the only way to respond is to look at Zini and Ferrari and their bed-buddies. Google and other Debian/DebConf sponsors insist that DebConf participants share rooms. This is a gimmick to prevent people bringing their wives and girlfriends. When we come to DebConf, they want us to do free work for them without distractions from family. For ninety percent of the population who are heterosexual this is an inconvenience and an insult. For the ten percent who have an LGBT+ lifestyle there is no inconvenience at all. o § Canonical/Ubuntu Family⠀➾ # ⚓ H2S Media ☛ Download_Linux_Mint_21_based_on_Ubuntu_22.04 LTS_to_Test⠀⇛ Here are the download links to get the Linux Mint 21 “Vanessa” Xfce, Cinnamon, and Mate editions ISO files based on Ubuntu 22.04 Jammy JellyFish. We already have a long-term version of Linux Mint that is based on Ubuntu 20.04 LTS Focal Fossa. However, as we know currently the latest LTS version of Ubuntu is 22.04 jammy jellyfish, then how can Linux Mint stay behind. Recently, in an official blog, the developers of Linux Mint announced that – The new Ubuntu-based Linux Mint Edition is ready for public download and testing. The project has been officially announced and the first mirror servers have already been loaded. That allows the users to download Linux Mint 21 bootable ISO images with the different Desktop environments. o § Devices/Embedded⠀➾ # ⚓ Ubuntu Pit ☛ 20_Best_Internet_of_Things_Projects_(IoT Projects)_in_2022⠀⇛ Internet of Things (IoT) is a new predominant technology for this advanced world. This technology can change the lifestyle people lead. The question is, what the Internet of Things is? IoT can be described as a network of physical objects connected through the internet. Physical objects could be anything that contains embedded electronics, software, sensor, etc., with the internet. Using the IP addresses, those smart objects can exchange data among the network and can make a decision. Research is going on over the IoT trends and projects. In this article, we will talk about a few IoT project ideas based on standard IoT protocols so that readers get basic knowledge about the Internet of Things. These internet of things examples are keen, useful, and interesting to build. o § Open Hardware/Modding⠀➾ # ⚓ Arduino ☛ Equipping_a_go-kart_with_an_omni_wheel_for endless_drifting_|_Arduino_Blog⠀⇛ An omni wheel, sometimes referred to by the more specific trade name “Mecanum” wheel, is a unique type of wheel with “tread” made up of several rollers oriented at an angle relative to the wheel’s spin direction. They allow for forward driving like any other wheel, but also sideways and rotational locomotion depending on the vectoring of all of a vehicle’s wheels working in concert. James Bruton used omni wheels on many of his robots in the past and in his most recent project he equipped a go-kart with an omni wheel for endless drifting. The go-kart has three drive motors. Two Hoverboard- style hub motor/wheel combos sit at the front of the go-kart on a steering rack. They provide normal front-wheel drive dynamics. But at the back of the go-kart there is a large omni wheel oriented perpendicular to the front wheels (at their neutral position). That means that the omni wheel’s rollers are inline with the vehicle. Those rollers spin freely, so the go-kart drives normally. But when Bruton spins the omni wheel motor, the rear end of the go-kart slides out in a drifting maneuver. # ⚓ Arduino ☛ This_coffee_machine_lets_you_know_when_you’ve_had too_much_caffeine_|_Arduino_Blog⠀⇛ You’ve probably heard that caffeine is a drug. That is true and it is possible to overdose on caffeine and die. Heathline reports that a lethal dose of caffeine is around 10 grams. But a typical cup of coffee only contains around 100-200 milligrams of caffeine, so you’d have to drink at least 50 cups to reach a lethal amount. However, some coffee, such as from Death Wish Coffee Co, contains much more caffeine and that makes it easier to overdose. With that in mind, Michael Pick used an Arduino to build a custom coffee machine. According to Pick, Death Wish coffee contains up to 728mg of caffeine per 12oz cup. Theoretically, that makes it possible for a person to drink enough coffee to overdose on caffeine. There aren’t many people out there who drink that much coffee, so this project is entirely tongue-in-cheek. But it is still fun to see an actual progress meter counting up to your death with every cup of joe that you brew. That is exactly what Pick’s coffee machine does. It tracks each cup of coffee brewed and displays the caffeine overdose progress on a small OLED screen attached to the front of the coffee machine. * § Free, Libre, and Open Source Software⠀➾ o § Events⠀➾ # ⚓ FSF ☛ Free_Software_Directory_meeting_on_IRC:_Friday,_July 22,_starting_at_12:00_EDT_(16:00_UTC)⠀⇛ Help improve the Free Software Directory (FSD) by adding new entries and updating existing ones. Every Friday we meet on IRC in the #fsf channel on Libera.Chat. o § Web Browsers⠀➾ # § Chromium⠀➾ # ⚓ Google ☛ Stable_Channel_Update_for_Desktop⠀⇛ The Stable channel has been updated to 103.0.5060.134 for Windows,Mac and Linux which will roll out over the coming days/ weeks. # ⚓ USCERT ☛ Google_Releases_Security_Updates_for Chrome⠀⇛ Google has released Chrome version 103.0.5060.134 for Windows, Mac, and Linux. This version addresses vulnerabilities that an attacker could exploit to take control of an affected system. # § Mozilla⠀➾ # ⚓ Make Use Of ☛ Are_Thunderbird_102′s_New_Features Enough_to_Make_You_Switch?⠀⇛ On June 28th 2022, popular open-source email client Mozilla Thunderbird released a major new version. An update so impressive that it skipped ten extra version numbers, going from v91 all the way to v102. It was announced that the application would receive a completely modernized user interface by version 114. While the user interface overhaul isn’t complete, this latest release has already kicked things off. So let’s find out what’s new in Thunderbird 102! # ⚓ Mozilla ☛ Support.Mozilla.Org:_Introducing_Smith Ellis⠀⇛ I’m so happy to introduce our latest addition to the Customer Experience team. Smith Ellis is going to join forces with Tasos and Ryan to develop our support platform. It’s been a while since we got more than 2 engineers on the team, so I’m personally excited to see what we can unlock with more engineers. o § Content Management Systems (CMS)⠀➾ # ⚓ CISA ☛ Drupal_Releases_Security_Update _|_CISA⠀⇛ Drupal has released security updates to address vulnerabilities affecting Drupal 9.3 and 9.4. An attacker could exploit some of these vulnerabilities to take control of an affected system.  o § Programming/Development⠀➾ # ⚓ GSoC_Post_1:_FlatpakKCM_Update_1⠀⇛ The previous blog post introduced my project for this summer. This blog post gives an update on the work that has been done so far in the past 5 weeks, and sketches out the plans for upcoming weeks. # ⚓ How_to_Install_PHP_on_Ubuntu_–_Pi_My_Life_Up⠀⇛ PHP is a dynamic programming language that helps drive a lot of the modern web. It allows you to write fast and flexible web applications. If you have browsed much of the internet, you will have run into a website that PHP drives. For example, any website that uses WordPress is driven by PHP. Best of all, PHP easily integrates into the Nginx and Apache web servers, complementing the features both provide. # ⚓ How_to_use_PHP_$_POST_Global_Variable_–_Pi_My_Life_Up⠀⇛ The $_POST super global (superglobal) variable within PHP is an associative array of variables containing data sent via an HTTP POST request. Using this variable, you can access data sent to your PHP script from a HTML form. You can also send form data via JavaScript. An alternative to $_POST is the $_GET super global variable. The $_GET variable allows you to access data sent via a GET request. The parameters for a GET request are included in the URL, for example, https://example.com/post.php?test=example. The “test” text is the parameter name and “example“, is the value. # ⚓ Using_the_htmlspecialchars()_Function_in_PHP_–_Pi_My_Life Up⠀⇛ The htmlspecialchars() function is incredibly useful in PHP, especially when you have text you intend to output. You can easily convert any special characters to their HTML entity equivalent using this function. One of the key reasons you will want to do this is to try and prevent XSS. “XSS” stands for cross-site scripting and is an attack when a bad actor attempts to inject malicious code onto your website. # § Perl / Raku⠀➾ # ⚓ Perl ☛ Climbing_the_Charts_(request_for_feature requests)_|_lichtkind_[blogs.perl.org]⠀⇛ Hurray, released another version of Chart without new features. Actually rewrote the complete documentation and I guess especially this page (with a little help of this list) is all what most people need. That also allowed us to drop the old PDF and HTML docs which took 8/9 of the distributions space (good side effect). * § Leftovers⠀➾ o § Hardware⠀➾ # ⚓ CNX Software ☛ PIX_NII_is_a_pocket-sized_mini_PC_powered_by an_Intel_Pentium_N6005_processor_(Crowdfunding)⠀⇛ PIX NII pocket-sized mini PC features an Intel Pentium N6005 Gemini Jasper Lake processor that should provide a nice upgrade to existing 2.4-inch mini PCs based on Gemini Lake processors such as Larkbox. The tiny computer is slightly larger (2.7×2.6 inch) than the previous 2.4-inch models, but ships with up to 16GB RAM, up to a 1TB NVMe SSD, and offers two 4K-capable HDMI 2.0 ports, Gigabit Ethernet & WiFi 6 connectivity, as well as a few USB 3.2 ports, plus a 3.5mm audio jack. # ⚓ CNX Software ☛ XRF16_Gen3_SOM_features_Xilinx_Zynq UltraScale+_ZU49DR_RFSoC_with_up_to_6GHz_bandwidth⠀⇛ We’ve written about Xilinx Zynq UltraScale+ MPSoCs that combine Arm Cortex-A53/R5 cores and Mali-400 GPU with Ultrascale FPGA fabric several times over the course of a few years. But AMD-Xilinx also offers the Zynq UltraScale+ RFSoC single-chip adaptable radio platforms that support up to 7.125GHz analog bandwidth. The topic came to my attention because of an upcoming ZU49DR SoM from iWave Systems that seems to be under development but also noticed Avnet had launched a solution last year with the XRF16 Gen3 SoM featuring the same third-generation Zynq Ultrascale+ ZU49DR RFSoC with 16 RF-ADC, 16 RF-DAC channels, and 6GHz RF bandwidth. o § Security⠀➾ # ⚓ Critical_flaws_in_GPS_tracker_enable_“disastrous”_and “life-threatening”_hacks_|_Ars_Technica⠀⇛ An assessment from security firm BitSight found six vulnerabilities in the Micodus MV720, a GPS tracker that sells for about $20 and is widely available. The researchers who performed the assessment believe the same critical vulnerabilities are present in other Micodus tracker models. The China- based manufacturer says 1.5 million of its tracking devices are deployed across 420,000 customers. BitSight found the device in use in 169 countries, with customers including governments, militaries, law enforcement agencies, and aerospace, shipping, and manufacturing companies. BitSight discovered what it said were six “severe” vulnerabilities in the device that allow for a host of possible attacks. One flaw is the use of unencrypted HTTP communications that makes it possible for remote hackers to conduct adversary- in-the-middle attacks that intercept or change requests sent between the mobile application and supporting servers. Other vulnerabilities include a flawed authentication mechanism in the mobile app that can allow attackers to access the hardcoded key for locking down the trackers and the ability to use a custom IP address that makes it possible for hackers to monitor and control all communications to and from the device. The security firm said it first contacted Micodus in September to notify company officials of the vulnerabilities. BitSight and CISA finally went public with the findings on Tuesday after trying for months to privately engage with the manufacturer. As of the time of writing, all of the vulnerabilities remain unpatched and unmitigated. # ⚓ Bruce Schneier ☛ Critical_Vulnerabilities_in_GPS_Trackers⠀⇛ I wouldn’t have buried “vehicle control” in the middle of that sentence. # ⚓ CISA ☛ Oracle_Releases_July_2022_Critical_Patch_Update_| CISA⠀⇛ Oracle has released its Critical Patch Update for July 2022 to address 349 vulnerabilities across multiple products. A remote attacker could exploit some of these vulnerabilities to take control of an affected system.  # ⚓ LWN ☛ Security_updates_for_Thursday_[LWN.net]⠀⇛ Security updates have been issued by Mageia (kernel and kernel-linus), SUSE (dovecot23), and Ubuntu (freetype, libxml-security-java, and linux-oem- 5.17). # ⚓ FOSSLife ☛ U.S._Cybersecurity_Apprenticeship_Sprint Launched [Ed: This is the same government which mandates back doors universally]⠀⇛ A 120-Day Cybersecurity Apprenticeship Sprint was announced at the recent National Cyber Workforce and Education Summit at the White House as part of new efforts to train “a skilled and diverse cybersecurity workforce.” “With approximately 700,000 cybersecurity positions open, America faces a national security challenge that must be tackled aggressively, the summit briefing said. # § Fear, Uncertainty, Doubt/Fear-mongering/Dramatisation⠀➾ # ⚓ Hacker News ☛ New_Linux_Malware_Framework_Lets Attackers_Install_Rootkit_on_Targeted_Systems [Ed: Unlike Windows, Linux does not have back doors and zero-days ignored by the vendor (Microsoft) for months, so for this malware to get to the system something dumb needs to happen]⠀⇛ A never-before-seen Linux malware has been dubbed a “Swiss Army Knife” for its modular architecture and its capability to install rootkits. This previously undetected Linux threat, called Lightning Framework by Intezer, is equipped with a plethora of features, making it one of the most intricate frameworks developed for targeting Linux systems. # ⚓ Bleeping Computer ☛ New_‘Lightning_Framework’_Linux malware_installs_rootkits,_backdoors [Ed: Microsoft propagandists still try to conflate malware with "backdoors", which is something Windows has by design; this is misleading, borderline defamatory]⠀⇛ A new and previously undetected malware dubbed ‘Lightning Framework’ targets Linux systems and can be used to backdoor infected devices using SSH and deploy multiple types of rootkits. # ⚓ USCERT ☛ CNMF_Discloses_Malware_in_Ukraine [Ed: As usual, CISA conveniently leaves out the fact that this is Microsoft Windows (from the original: “HKCU\Software\Microsoft\Windows\CurrentVersion\Run\java- sdk”; CISA: keep using things with back doors in them. It’s for “security”… “national security”, i.e. we being in control of all your systems and thus your life; today, Thursday, CISA disclosed almost half a dozen very severe flaws in Windows systems, without even once mentioning the words Microsoft or Windows. Several times the severity was almost 10 out of 10.]⠀⇛ CISA encourages users and administrators to review U.S. Cyber Command’s press release, Cyber National Mission Force discloses IOCs from Ukrainian networks, as well as their VirusTotal and GitHub pages for more information. See Mandiant’s report, Evacuation and Humanitarian Documents used to Spear Phish Ukrainian Entities, for additional information. # § Privacy/Surveillance⠀➾ # ⚓ AccessNow ☛ Post-Roe,_civil_society_calls_on_data brokers_to_do_no_harm⠀⇛ Yesterday, Access Now, Amnesty International USA, and Fight for the Future sent letters to four geolocation data brokers — Amazon Web Services Data Exchange, Oracle, Near, and Mobilewalla — about their data collection practices in a post-Roe world. Led by Representative Trahan, members of the U.S. Congress sent companion letters to the same companies. Now that Roe v. Wade is overturned, law enforcement agencies and prosecutors in states that have criminalized abortion will likely seek to access geolocation and other data to identify people who have sought abortions. This means that data collected by geolocation data brokers could easily be used by law enforcement to prosecute those who seek to exercise their reproductive rights. Law enforcement agencies are able to access this data without due legal process or a search warrant. “Since the U.S. government has failed to protect our reproductive rights and right to privacy, we call on the private sector to take a stand,” said Jennifer Brody (she/her), U.S. Policy and Advocacy Manager at Access Now. “Geolocation data brokers profit off of deeply sensitive and private information about our whereabouts, and this must stop. Our data will forever be weaponized against us if companies ignore the need for human rights safeguards.” “For too long data brokers have operated in the shadows, collecting and selling the personal information of hundreds of millions of people,” said Michael Kleinman (he/him), Director, Tech and Human Rights at Amnesty International USA. “We are asking them a simple question – what thought, if any, have you given to how your actions might undermine the privacy and reproductive rights of people across the U.S.?” o § AstroTurf/Lobbying/Politics⠀➾ # § Misinformation/Disinformation⠀➾ # ⚓ MakeTech Easier ☛ Amazon_Going_After_Fake_Reviews Brokered_on_Facebook⠀⇛ It’s a great status symbol for products to be listed on Amazon with four- or five-star ratings. The question is how they go about getting those ratings. Amazon is cracking down on that and is going up against Facebook and other social media companies to stop the fake reviews. o § Internet Policy/Net Neutrality⠀➾ # ⚓ Public Knowledge ☛ Public_Knowledge_Applauds_FCC_Inquiry Into_Data_Practices_of_Mobile_Providers_–_Public_Knowledge⠀⇛ This week, Federal Communications Commission Chairwoman Jessica Rosenrocel announced that the agency had sent letters of inquiry to the top 15 mobile providers requesting information about their data retention, data privacy policies, and general practices. According to the agency, the letters ask providers to share information about geolocation data policies, including how long geolocation data is retained and why and what the current safeguards are to protect this sensitive information. The letters also probe providers about their processes for sharing subscriber geolocation data with law enforcement and other third parties, and how the carriers combine geolocation data with other data to which they have unique access. Finally, the letters ask if and how consumers are notified when their geolocation data is shared with third parties. Carriers have until August 3 to respond to the inquiry. Unlike application access to GPS location data, carriers have access to uniquely precise geolocation data (A-GPS, or “assisted GPS”) to facilitate 911 response. Additionally, carriers can combine geolocation data with other customer- related data to provide more accurate information on a customer’s location and activities. This is why law enforcement and others, such as bounty hunters, prefer access to carrier information over that made available by applications on the phone. # ⚓ Public Knowledge ☛ Public_Knowledge_Welcomes_Bill Prohibiting_Predatory_Broadband_Data_Caps_–_Public Knowledge⠀⇛ Today, Senators Ben Ray Luján (D-NM) and Cory Booker (D-NJ) introduced the “Uncap America Act of 2022” to prevent broadband providers from applying predatory data caps to subscribers. To accomplish this, the bill would direct the Federal Communications Commission to create regulations that define when a data cap is tailored for network management and when it isn’t – as well as give the Commission enforcement authority when those conditions are violated. Public Knowledge applauds Sens. Luján and Booker for stepping up to end this predatory practice. o § Digital Restrictions (DRM)⠀➾ # ⚓ Right to Repair ☛ Misrepresentation_by_Deere_and_Company_to the_US_EPA_and_SEC⠀⇛ # ⚓ Right to Repair ☛ Repair.org_and_PIRG_call_on_the_EPA_to investigate_Deere_and_its_dealers_over_Right_to_Repair_for violating_the_Clean_Air_Act_—_The_Repair_Association⠀⇛ Tractor manufacturer John Deere has been preventing farmers from fixing their tractors in apparent violation of federal law, says Repair.org and the Public Interest Research Group (PIRG), independent advocacy groups promoting “right to repair” legislation. The groups called on the Environmental Protection Agency on Thursday to investigate Deere after discovering that Deere’s repair restrictions seem to run contrary to the Clean Air Act requirement for a company to state that it allows independent repair of the emissions control systems, and confirm in EPA certification filings that it does so. By restricting access to software necessary to make repairs, Deere forces farmers to pay a premium for repair, according to research compiled by Repair.org and PIRG. In doing so, the company violates the Clean Air Act, and long-standing federal regulations (CFR Section 1039.125 (f)). Moreover, Deere’s monopoly on repairs contradicts some of its own Operator’s Manuals. o § Monopolies⠀➾ # ⚓ AccessNow ☛ How_the_world’s_biggest_investors_could transform_Big_Tech [Ed: Notice how they skip Microsoft while using Microsoft lobbyists' vocabulary]⠀⇛ Big Tech’s 2022 Annual General Meeting (AGM) season has come and gone — and if there’s one takeaway from this year’s round of meetings, it’s that there’s an appetite and a pathway for delivering social change at (almost) every level. This year alone saw shareholders back proposals for amplifying independent shareholder voices at Meta, conducting a human rights assessment for data cloud centers at Google, and independently evaluating facial recognition risks at Amazon. However, even with a majority of “independent” shareholders — that is, non-executive or management level shareholders — supporting these proposals, none of them passed. Why? Because at companies like Meta and Google that have a dual-class share structure, power is often stacked against independent shareholders, making the companies immune to positive pressure. Under this structure, some executives, usually company founders, have outsized voting power compared to other shareholders. For instance, Mark Zuckerberg owns 14% of Meta’s shares, but holds a massive 58% of the voting power at the company. * § Gemini* and Gopher⠀➾ o § Personal⠀➾ # ⚓ SpellBinding:_AHNYRXP_Wordo:_DYADS⠀⇛ o § Technical⠀➾ # ⚓ Regarding_watches⠀⇛ Yesterday, I’ve seen a person wearing what looked like a traditional watch. But upon seeing them more, I saw it was a digital watch, too. The analog watch was controlled and set remotely by the program on a smartphone, basically making it connected to technology, thus being useless without technology nearby. That’s what happened, the respective person couldn’t check the time because the connection to the smartphone didn’t work. Why make it an analog watch then? Why not fully digital to get all the disadvantages? It’s beyond me. I don’t see why a watch should be connected to the internet, nor why it should send your pulse straight to some Big Tech server. # ⚓ Packaging_and_logging⠀⇛ For a while now I wanted to package all the work- related software into deb packages properly, with the dependencies just on packages from regular Debian repositories (and each other, in some cases). I used to build binary-only packages with ``cabal copy`` before, but it doesn't work with Cabal 3 (the software is in Haskell), so I decided it's the time for another attempt to package everything. I already knew that there still are unmet dependencies: a while ago wrote all those down, then worked on eliminating those, but a few were tricky to get rid of, so I figured I'd try packaging them too. =============================================================================== * Gemini_(Primer) links can be opened using Gemini_software. 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