𝕿𝖊𝖈𝖍𝖗𝖎𝖌𝖍𝖙𝖘 Bulletin for Friday, April 19, 2024 ┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅ Generated Sat 20 Apr 02:49:20 BST 2024 Created by Dr. Roy Schestowitz (𝚛𝚘𝚢 (at) 𝚜𝚌𝚑𝚎𝚜𝚝𝚘𝚠𝚒𝚝𝚣 (dot) 𝚌𝚘𝚖) Full hyperlinks for navigation omitted but are fully available in the originals The corresponding HTML versions are at 𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈 Latest in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒕𝒙𝒕 and older bulletins can be found at 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒕𝒙𝒕-𝒂𝒓𝒄𝒉𝒊𝒗𝒆𝒔 Full IPFS index in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒊𝒑𝒇𝒔 and as plain text in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒊𝒑𝒇𝒔/𝒕𝒙𝒕 Gemini index for the day: gemini://gemini.techrights.org/2024/04/19/ ╒═══════════════════ 𝐑𝐄𝐂𝐄𝐍𝐓 𝐁𝐔𝐋𝐋𝐄𝐓𝐈𝐍𝐒 ════════════════════════════════════╕ Previous bulletins in IPFS (past 21 days, in chronological order): QmbHjgPAAcGNUG9Sej4vSKhK8DfUYokfFkXLdKwr1JtGJG QmdLsuRLzrwb58dZaSmJah6oCmNNZ6cW4ick4chqJmHjmY QmTNR3uqcbMYjPAbbHjBqyNJb3ib8kytQvdFnATzkBFVvo QmfCHrqMLfMsHXYnQeAvVuNYt91Zw2AmMJ5mx4RqsrWy3b QmR2rr1yXDANjQBEz2oGtd2UMgy9U37FHdjpUhPfAk7h5z QmWE6ucdKk9Q1pi6ce3ko9xPWd9Y4BjpLij3W7tJ5TMjG3 QmaoEDiALTYYZdaq3SQ86aQpMwUji1nqCeLbXAoszFRYvJ QmSTkZUY74BcgbgqS6JKwwNbVnbzY5uqwpgWtYonGJua8s QmXZcp3rXLYa24pYd7jUu6sPDrhziRCNCok875WLJTLysP QmUE7nd24kx2soZFbSYKDsb1ik1wpirFTRTBhDTj6w9sjh QmdKeWBhfnjgQLYU48wto7DdStpXsB5mE1yEEnWcxQ53vu QmfSnnTnjcAe3YvtRsVgAwUJfpcEk1dM5J5yjJLyv7MxqM QmQ16CkpxBbMzPZ6wZcuKBUcxH1RZ8uAEhcvdBsPRpVZe9 QmT3gTQRv33wEDtJveL8DiqiacGeRaxEbRFDUyVSJEAvDL QmTs9qcwghZPs5oBh9qzsu8a11T4s6xHrJjVNyk5miFy3X Qmdqd6mb8mj27qVvQZRR7sjshrXYYirWm9vRttLkNB5rW6 QmSjY85vxbu9nNFHUMmuK7CxRame2VYuhb523CJaK5zRkj QmZwah9nZHVvSzbJWEAMxumYDpanFPqTahnqoNP83tuZbx QmQWSrGfeYwgf6HE9N3742DJrJwq8uNSCUAz469CnuUFGe QmcgTTyseF5zFd4MLquM4PtJZzkFcBEqaUbqDe4eaUx6Na QmZMEFKvpgvjxAcV9Pwu7yF74LYZwS7ktdLFdYb988Ncfu ╒═══════════════════ 𝐈𝐍𝐃𝐄𝐗 ═══════════════════════════════════════════════════╕ ⦿ Techrights - Chris Rutter, ARM Ltd IPO, Winchester College & Debian ⦿ Techrights - EPO “Technical” Meetings Are Not Technical Anymore, It's Just Corrupt Officials Destroying the Patent Office, Piecewise (While Breaking the Law to Increase Profits) ⦿ Techrights - G.A.I./Hey Hi (AI) Bubble Bursting With More Mass Layoffs ⦿ Techrights - IRC Proceedings: Thursday, April 18, 2024 ⦿ Techrights - [Meme] EPO “Technical” Meetings ⦿ Techrights - Over at Tux Machines... ⦿ Techrights - Red Hat Communicates the World Via Microsoft Proprietary Spyware ⦿ Techrights - Russell Coker & Debian: September 11 Islamist sympathy ⦿ Techrights - Sven Luther, Thomas Bushnell & Debian's September 11 discussion ⦿ Techrights - The Latest Wave of Microsoft Crime, Bribes, and Fraud ⦿ Techrights - [Video] Microsoft Got Its Systems Cracked (Breached) Again, This Time by Russia, and It Uses Its Moles in the Press and So-called 'Linux' Foundation to Change the Subject ⦿ Techrights - [Video] Novell and Microsoft 45 Years Later ䷼ Bulletin articles (as HTML) to comment on (requires login): https://news.techrights.org/n/2024/04/19/Chris_Rutter_ARM_Ltd_IPO_Winchester_College_Debian.shtml https://news.techrights.org/n/2024/04/19/EPO_Technical_Meetings_Are_Not_Technical_Anymore_It_s_Just_Corr.shtml https://news.techrights.org/n/2024/04/19/G_A_I_Hey_Hi_AI_Bubble_Bursting_With_More_Mass_Layoffs.shtml https://news.techrights.org/n/2024/04/19/IRC_Proceedings_Thursday_April_18_2024.shtml https://news.techrights.org/n/2024/04/19/Meme_EPO_Technical_Meetings.shtml https://news.techrights.org/n/2024/04/19/Over_at_Tux_Machines.shtml https://news.techrights.org/n/2024/04/19/Red_Hat_Communicates_the_World_Via_Microsoft_Proprietary_Spywar.shtml https://news.techrights.org/n/2024/04/19/Russell_Coker_Debian_September_11_Islamist_sympathy.shtml https://news.techrights.org/n/2024/04/19/Sven_Luther_Thomas_Bushnell_Debian_s_September_11_discussion.shtml https://news.techrights.org/n/2024/04/19/The_Latest_Wave_of_Microsoft_Crime_Bribes_and_Fraud.shtml https://news.techrights.org/n/2024/04/19/Video_Microsoft_Got_Its_Systems_Cracked_Breached_Again_This_Tim.shtml https://news.techrights.org/n/2024/04/19/Video_Novell_and_Microsoft_45_Years_Later.shtml ䷞ Followed by Daily Links (assorted news picks curated and categorised): https://news.techrights.org/n/2024/04/19/Gemini_Links_19_04_2024_Kolibri_OS_and_OpenBSD.shtml https://news.techrights.org/n/2024/04/19/Links_19_04_2024_Israel_Fires_Back_at_Iran_and_Many_Layoffs_in_.shtml https://news.techrights.org/n/2024/04/19/Links_19_04_2024_Running_a_V_Rising_Dedicated_Server_on_GNU_Lin.shtml ䷩ 𝚕𝚒𝚗𝚎 82 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/04/19/Chris_Rutter_ARM_Ltd_IPO_Winchester_College_Debian.shtml Gemini version at gemini://gemini.techrights.org/n/2024/04/19/Chris_Rutter_ARM_Ltd_IPO_Winchester_College_Debian.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Chris Rutter, ARM Ltd IPO, Winchester College & Debian⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Apr 19, 2024 [Article 7 months old] Reprinted with permission from disguised.work. ARM Ltd finally went public on 14 September, the_stock_jumping_25%_on_its_first day_of_trading. Volunteers have recently started picking over the story of Chris_Rutter, who was seen to be working up to 3am doing unpaid voluntary work for ARM Ltd & Debian at the same time he started his undergraduate studies in Cambridge. Rutter was killed crossing the road. Police suggested the driver was not at fault. Was Rutter burning both ends of the candle? Early investors and those employees who were given stock options have made a killing. Rutter, who invested his youth and gave his life, got nothing, either did his family. Some of the more startling revelations include the fact that Rutter was both underage and unpaid when he first started doing ARM Linux work. Here is the email from Wookey confirming that ARM Linux servers were running in Rutter's former high school, the posh Winchester College: To: Debian ARM Subject: ARM port rearrangements From: Wookey Date: Mon, 12 Mar 2001 13:52:37 +0000 (GMT) Message-id: Hello people, Due to the untimely demise of Chris Rutter we are now short of an ARM port leader, and need to do things about the ARM infrastrucutre in the reasonably short term. Fortunately the distributed nature of Debian is resistant to this sort of disaster so things are basically still working fine. As, in practice, Phil Blundell has been doing a great deal of the work recently then I suggest that unless he disagrees violently, or someone else is keen to get the title, that he becomes de facto leader. (This makes no practical difference except that I update the ARM port page to this effect shortly and we all have to buy him beer if we meet in the flesh.) Sorting out the build machines is slightly more complicated. Currently the machines medusa (a RiscPC, owned by chris) and inkvine (an x86 box, owned by the school) do most of the work. These boxes are both located at Winchester college (chris's old school) and got bandwidth for free. Ths arrangement was becoming increasingly tenuous anyway but now clearly ceases to be pratical. It's not in immediate danger of closure, but at some point we need to run this stuff on machines we have some control over. So, we are now casting about for resources to keep things going smoothly. Anyone want to offer bandwidth/co-location space, hardware etc? Essentially transferring the existing setup to new hosts is the path of least resistance. If we find out what's available we can work out how best to proceed. I suspect hardware isn't a problem - we need bandwidth and a keen webmaster/maintainer would be handy too. Wookey -- Aleph One Ltd, Bottisham, CAMBRIDGE, CB5 9BA, UK Tel (00 44) 1223 811679 work: http://www.aleph1.co.uk/ play: http://www.chaos.org.uk/~wookey/ Chris Rutter's home address and home phone number were placed in a public directory_as_an_official_contact_for_ARM_Linux_support. █ 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Chris Rutter, Duxford⦈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡏⢹⠛⠛⠛⠛⠛⠛⢛⠛⠛⡛⢛⠟⢛⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣉⢉⣉⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠯⠽⠧⠼⠷⠤⠤⠼⠦⠥⠵⠤⠤⠼⠦⠥⠥⠤⠤⠦⠿⠷⠥⠧⠬⠬⠽⠧⠬⠯⠶⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠧⠼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⣺⡏⡟⠐⢟⢸⠁⡏⢸⣜⠀⢸⣿⠻⠿⠟⡿⢿⠿⠿⡿⠿⢿⡿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⡿⢿⠻⢿⠛⡿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⠛⠙⠛⠓⠈⠛⠘⠂⠓⠘⠘⠀⠸⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠇⠀⠿⠿⠿⠿⠿⠿⠿⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⣿⡟⡈⠇⡸⢈⢸⡇⠿⠈⡍⠹⠩⡩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⣯⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣽⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⣿⣿⣿⡟⣛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⣿⣿⣿⣧⣒⣾⣿⣼⣦⣦⣽⣤⣤⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⣿⣿⣿⡿⢿⢿⠿⠿⢿⣿⠿⢿⠿⠿⡿⠿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⣿⣿⣿⣷⣾⣾⣶⣶⣾⣿⣾⣾⣶⣾⣷⣿⣶⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⣯⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣽⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢩⣭⢭⣭⣭⣭⣭⣭⣭⠉⠉⠉⠉⠉⠉⡍⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢹⣿⠀ ⠀⣿⣿⣿⣟⣟⣭⣉⣯⣛⣿⣏⣉⣩⣉⣉⣩⣯⣿⣉⣉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠛⠒⠚⠒⠒⠓⠒⠛⠀⠀⠀⠀⠀⠀⠘⡀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀ ⠀⣿⣿⣿⡟⠟⡿⢻⡟⠿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀ ⠀⣿⣿⣿⣟⠻⢻⡿⢿⠿⡿⡟⣿⢻⠿⣿⢿⡛⣿⠿⢻⣟⠿⢿⢿⡿⣿⡻⣿⣿⢟⠿⠿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀ ⠀⣿⣿⣿⡟⠛⢻⠟⡻⢷⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⠀⠂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀ ⠀⣿⣿⣿⡿⢿⣿⠿⢿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠠⠀⠀⠂⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⢠⠀⠐⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀ ⠀⣿⣿⣿⣿⣶⣾⣶⣶⣶⣶⣷⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠠⠀⠑⡀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠠⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀ ⠀⣿⣿⣿⡟⢻⠿⠿⠿⠿⢿⣿⣿⢿⡿⡿⣿⠿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠘⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀ ⠀⣿⣿⣿⣷⣾⣿⣷⣾⣶⣾⣷⣾⣶⣶⣷⣾⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠠⠈⢄⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⡄⢸⣿⠀ ⠀⣿⣿⣿⣧⣼⣬⣭⣿⣷⣿⣼⣤⣧⣧⣬⣴⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢀⢀⠀⠂⠀⠀⠀⠀⠀⠠⠐⠉⠈⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⣨⡇⢸⣿⠀ ⠀⣿⣿⣿⡟⢻⠻⠛⠻⣿⢻⣿⣿⢿⠻⢿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⠀⠀⠀⠀⠀⠀⠀⠡⡀⠀⢀⠤⠊⢀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠿⡇⢸⣿⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠁⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠄⠀⠀⠀⠀⠒⠄⠀⠘⠛⠛⠃⢸⣿⠀ ⠀⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠼⠿⠀ ䷩ 𝚕𝚒𝚗𝚎 216 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/04/19/EPO_Technical_Meetings_Are_Not_Technical_Anymore_It_s_Just_Corr.shtml Gemini version at gemini://gemini.techrights.org/n/2024/04/19/EPO_Technical_Meetings_Are_Not_Technical_Anymore_It_s_Just_Corr.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ EPO “Technical” Meetings Are Not Technical Anymore, It's Just Corrupt Officials Destroying the Patent Office, Piecewise (While Breaking the Law to Increase Profits)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Apr 19, 2024, updated Apr 19, 2024 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Abolition_of_conditions_of_employment_of_interpreters⦈_ Another pillar of the EPO is being knocked_down The Central Staff Committee of the EPO has contacted António_Campinos and his German enabler (who had previously enabled Benoît_Battistelli as well). In a message to colleagues it says to staff: Dear Colleagues, On Monday 15 April 2024, the administration has tabled in the General Consultative Committee (GCC), the document GCC/DOC 2/2024 (see Annexes to the letter) abolishing the whole section of the Codex related to the conditions of employment of interpreters. Regulations are removed from the Codex including: the statutory daily remuneration rates, working hours, the payment of overtime, the adjustment of the remuneration, protection in case of cancellations, reimbursement of travel costs and the entitlement to the daily substance allowance. The Office intends to shift to a new system consisting of “framework contracts concluded with individual interpreters” which are not made available. There is no guarantee that each interpreter will remain subject to the same conditions. The Office did not even consult any of its 160 “highly qualified” interpreters who are shocked that such proposals shall be discussed internally without any attempt to inform or consult them. The lack of consultation of those providing the service is difficult to reconcile with the announced aim to ensure business continuity and poses a risk as to the quality of service provided by the EPO to the users of the patent system. In this open letter, we urgently request that more time is allowed and that proper consultation is ensured. Sincerely yours, The Central Staff Committee - CSC The full_publication_contains_annexes and the key parts are reproduced below as plain text (bulletins), HTML, and GemText: European Patent Office 80298 Munich Germany Central Staff Committee Comité central du personnel Zentraler Personalausschuss centralSTCOM@epo.org Reference: sc24022cl Date: 18/04/2024 European Patent Office | 80298 MUNICH | GERMANY Mr António Campinos President of the EPO Mr Christophe Ernst Vice-President DG5 By email: president@epo.org vp5@epo.org § OPEN LETTER⠀➾ Abolition of the conditions of employment of interpreters Dear Mr President Dear Mr Vice-President, On Monday 15 April 2024, the administration has tabled in the General Consultative Committee (GCC), the document GCC/DOC 2/20242 abolishing the whole section of the Codex related to the conditions of employment of interpreters2. The administration did so after proposing a single “Technical” Meeting on Thursday 11 April 2024 with a planned PowerPoint presentation containing limited content and nothing about the technicalities3. As we already expressed by email4, the timeline of the consultation is tight and requires legal and fiscal analysis, and also input from those affected by the abolition, namely the interpreters themselves. The document presents as a starting point the question of the interpreters’ affiliation to national social security schemes raised in a contracting state. However, the document does not mention which contracting state is referred to, what was the question raised nor whether the state is a relevant country of employment of interpreters. ______ 1 GCC/DOC 2/2024 (CA/35/24) [Annex 1] 2 Conditions of Employment of Interpreters (January 2024) [Annex 2] 3 “New model for securing interpreting service”, 09-04-2024 [Annex 3] 4 CSC email to Social Dialogue, 11-04-2024 [Annex 4] ===================================================================== Legal and fiscal risks of the current system are presented as a justification for the change. However, no legal assessment and no fiscal assessment are provided. Section VIII mentions as legal basis the “Conditions of Employment for Interpreters”. This cannot be correct as the latter contain no provision for repealing themselves. The announced aim to ensure the Office’s competitiveness with respect to comparable international organisations is not substantiated by any benchmark presenting the organisations taken into account nor the conditions they offer. As a matter of fact, it appears that the administration has not made any market analysis or survey among the pool of interpreters working for International Organisations. The Office did not even consult any of its 160 “highly qualified” interpreters who are shocked that such proposals shall be discussed internally without any attempt to inform or consult them5. The lack of consultation of those providing the service is difficult to reconcile with the announced aim to ensure business continuity and poses a risk as to the quality of service provided by the EPO to the users of the patent system. The abolition of the conditions of employment of interpreters has far- reaching consequences which cannot be justified by an issue of affiliation to national social security scheme. For instance, regulations are removed from the Codex including; the statutory daily remuneration rates, working hours, the payment of overtime, the adjustment of the remuneration, protection in case of cancellations, reimbursement of travel costs and the entitlement to the daily substance allowance. The Office intends to shift to a new system consisting of “framework contracts concluded with individual interpreters”. The content of these “framework contracts” is not annexed to the GCC document. There is hence no information as to which parts of the abolished statute will remain in these framework contracts and no guarantee each interpreter will remain subject to the same conditions. The foreseen timeline of the reform is much too tight and does not allow anywhere near sufficient time for in-depth discussions and explanations. We repeat our request that the document is tabled in the GCC “for information” in order to ensure proper consultation. In addition, we request that the GCC is provided with: − the legal and fiscal assessments, − the information concerning the issues of the interpreters’ affiliation to national social security scheme in a contracting state, − the foreseen specimen “framework contract”, and that − the Office urgently consults its “highly qualified” 160 interpreters directly affected by the change. ______ 5 “Communication from EPO-accredited interpreters to Staff Representation”, 14-04-2024 [Annex 5] ===================================================================== We are looking forward to hearing from you. Sincerely yours Derek Kelly Chairman of the Central Staff Committee Annex 1: GCC/DOC 2/2024 (CA/35/24) Annex 2: Conditions of Employment of Interpreters (January 2024) Annex 3: Email from EPO Interpreters sent on 15-04-2024 Annex 4: CSC email to Social Dialogue, 11-04-2024 Annex 5: “Communication from EPO-accredited interpreters to Staff Representation”, 14-04-2024 Little by little, a la "boiling frog", they ensure there's no EPO left, only a cash register and collection point (digital) by which to receive requests for monopolies from international corporations, charging fees to give them monopolies over Europe (even when such requests are invalid, unlawful, and come from corporations outside of Europe about two-thirds of the time). This is corruption miles worse than ISDS and they have rendered fake, illegal_kangaroo courts_to_bypass_constitutions._Where's_the_outrage? █ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠠⠿⢿⡷⠀⢀⠀⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⡻⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣶⣆⠀⠀⠉⠙⠃⠼⠻⣿⣿⡏⠉⠉⠙⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡆⠀⠀⠀⡀⢄⡀⢀⣴⣿⣿⣿⣿⠿⠻⠙⣄⣽⣿⣿⣿⡇⣿⣿⠱⢾⡷⢸⣿⣿⣿⣿⣿⣿⠿⠻⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡶⢶⣦⣤⣄⣿⣿⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣷⠀⠀⢀⠔⣹⣿⣿⣿⠿⠟⡙⡈⣳⣥⡽⢿⣿⣿⢹⢣⢻⣼⣿⣿⣿⢴⣿⣿⣿⣿⣿⣿⣇⠀⠀⢀⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⡏⠀⣤⣤⣴⣼⣿⡿⠃⠀⠀⠀⠀⢀ ⣿⣦⡀⣀⠀⠀⠀⠀⢠⢴⣿⢸⣿⣿⣿⠿⠀⠀⠁⠀⠈⢿⡉⣇⢳⠴⠗⠋⣩⣴⣶⣿⣿⣿⡧⢎⡂⣁⣿⡿⢧⣤⡿⢿⡿⠋⢻⣿⣿⣷⣶⣿⣿⣿⣿⠋⣠⣶⣶⣤⡈⣻⣿⠟⢡⣿⣿⣿⣿⣿⣿⣿⣷⣬⡑⢿⣿⣿ ⡻⢿⣇⢿⣿⣘⡈⣡⣅⣸⣿⣾⣿⣿⢋⣴⢂⣀⡀⠀⢠⣂⣁⣁⣤⣴⣶⣿⣿⣿⣿⣿⣿⣏⣴⡿⣰⣿⡇⣴⡤⣽⢠⡌⣷⣴⡖⣿⣿⣿⣿⣿⣿⣿⡿⠘⢿⣿⣿⣿⣿⣿⣿⢇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣻⣿ ⣿⣿⣿⣷⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⢿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣷⣿⣿⣹⣿⢹⣿⢸⡇⣿⣿⣧⣿⣿⣿⣿⠿⠛⠉⢀⣤⣈⡉⠉⢹⡿⣿⠟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛ ⠻⠿⠿⣿⣿⣟⣿⣿⣿⣿⣷⠀⠘⢩⣿⣷⣄⠀⠁⠀⣿⠿⠿⠿⠿⠿⠿⠿⠛⠛⠡⠘⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣤⣶⣿⣿⣿⣿⣿⣿⡼⢁⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⣥⡟ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡤⠀⠿⢃⣀⡿⢃⡀⣀⣴⢣⢶⣶⣦⣤⣤⣤⣤⣤⠀⠀⡄⣠⣤⣀⣀⣉⣉⣉⣙⣻⣿⣿⣿⣿⠿⠟⢿⡿⢿⠟⢻⡿⠛⠛⠻⡟⣿⣿⡿⠛⢻⠟⢿⣿⠛⡟⢉⣩⣿⡋⢉⣉⣿⣿⡐⢾⡁ ⣦⡄⠨⠭⣍⣿⣿⣿⠿⣿⣷⠟⠚⠻⣿⣿⣿⣿⣿⡏⣾⢸⣿⣿⣿⣿⣿⣿⣿⡆⠀⢰⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⠀⠴⠾⢿⡇⠀⠀⢸⡇⠸⠿⠀⡇⢈⣽⢁⣾⠀⣧⠈⠇⣸⣇⠈⣉⣹⡇⢈⣉⣹⣿⣧⣩⠹ ⣿⡇⠀⠀⠟⠛⠿⠷⠏⠙⠻⣿⣿⠀⣿⣿⣿⣿⡿⢸⣿⠘⣿⣿⣿⣿⣿⣿⣿⠀⠄⢸⣿⣿⣿⣿⣿⣿⡇⣿⣿⢻⣿⣿⠀⣶⣶⣿⡇⢼⣷⠈⣷⠀⣶⣾⡇⢸⣧⠘⣿⠀⣿⣧⠐⣿⣿⠈⠿⢿⣇⠸⠟⢻⠏⡡⢒⡲ ⠿⠀⣤⣤⣦⣤⣤⣄⣤⣤⣀⣀⢸⢠⣿⣿⣿⣿⢃⣿⣿⠀⣿⣿⣿⣿⣿⣿⡟⢨⡁⢸⣿⣿⣿⣿⣿⣿⢰⣿⣟⢸⣿⣿⣀⣉⣉⣭⣇⣹⣿⣀⣿⣄⣿⣿⣧⣈⣭⣦⣤⣼⣿⣿⣤⣿⣿⣦⣴⡿⠿⣶⣾⣿⡅⠃⣉⡡ ⣶⣶⣶⣶⣶⣤⣤⣤⣌⣭⣉⣉⢥⣸⣿⣿⣿⡏⣼⣿⣿⡇⣿⣿⣿⣿⣿⣿⡇⠜⡂⢸⣿⣿⣿⣿⣿⡇⣼⣿⣿⢸⣿⣿⣿⣿⣿⡿⠟⠻⢿⡿⠟⠿⣿⠛⠛⣿⠛⣿⡛⢿⡛⠛⢉⠟⢉⣿⣿⡇⠀⣼⡟⠋⠑⢲⣴⣶ ⣿⠿⣿⣿⣿⠛⣿⣿⣿⣿⣫⣨⣩⣹⣊⣋⡏⣠⣉⣟⡹⡄⣙⣩⣉⣋⣛⣹⠀⠁⠀⣸⣩⣹⣋⣙⡙⢀⣛⣩⣉⠈⣛⣹⣉⣃⣿⡇⠸⠇⢸⣿⡆⢸⡏⢰⣿⣿⡀⠿⠇⢸⣿⣇⠸⡀⠛⢿⣿⡇⣼⣿⣆⡀⢀⣼⣿⣿ ⣶⣶⣶⣶⣶⣰⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⢁⣿⣿⣿⣷⡇⢻⣿⣿⣿⣿⡿⠀⣂⠁⣿⣿⣿⣿⣿⠇⣾⣿⣿⣿⡄⣿⣿⣿⣿⣿⡇⢠⡈⠻⣿⡇⢸⣧⠸⠉⣿⡇⢰⣆⠸⣿⣿⠀⡿⠇⢸⡏⠉⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡿⣿⣿⢷⢸⣿⣿⣿⣿⣿⡏⣼⣿⣿⣿⣿⣷⢸⣿⣿⣿⣿⡇⣨⠴⠀⣿⣿⣿⣿⡟⣸⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣧⣸⣿⣦⣼⣤⣴⣿⣦⣤⣿⣷⣾⣿⣾⣿⣿⣶⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⢿⣿⣿⡿⣷⡻⢟⠃⢸⣿⣿⣿⣿⡇⠠⣤⣤⣤⣤⣬⣭⣈⣉⢛⣿⣿⠃⢐⠀⠀⣿⣿⣿⠟⠰⠿⠿⠿⠿⠿⡇⢹⣿⣿⣿⣧⣀⠀⠀⠀⠀⠀⠀⠀⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣐⣊⢹⣿⣿⣿ ⢸⢸⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣄⡙⠙⠛⠛⠛⠛⠛⣂⣾⣿⣿⠀⢐⠀⠀⣿⣿⣿⡄⠘⣶⣶⣶⣶⣶⣶⣦⡆⢠⣿⣿⣿⣿⡿⣿⢻⠿⡟⢿⡿⣿⣿⣟⣿⢿⡿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋ ⠠⢬⠁⣿⣿⣿⣿⣿⣧⠈⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣦⣌⣉⠉⠙⠛⣃⣡⣾⣿⣿⣿⣿⣿⡇⢉⠸⠀⡇⣚⣻⣿⣿⣿⣿⢠⡁⣿⢸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠻⢿⣿⣿⣿⣿⣆⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠀⠀⠀⠀⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣼⣶⣶⣷⣾⢿⣿⣿⣿⣿⣿⣷⣿⣮⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠩⡍⢿ ⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣧⡈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢘⢘⠉⡏⢹⡀⣻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣫⡟⠰⠧⠹ ⠆⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣄⢹⣹⣿⣿⡿⣿⣿⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⠀⠀⠀⠀⠼⠿⠿⠉⠿⠻⠻⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⠲⣡⣼⣿⣷⣦ ⠠⠀⢀⣾⣿⣿⣿⠉⠉⢹⣿⣿⣿⣿⣿⣿⣿⣇⠹⣿⣿⣿⣿⡿⠿⣿⣿⡿⠿⠋⠉⠉⢉⢟⢻⢿⣿⣿⠀⠀⠀⠀⢰⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠻⣿⡿⢩⣄⢾⡝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⡿⠿⠿ ⠀⣠⡿⢿⣿⡇⠀⠀⠀⠀⠀⣠⣍⢹⣿⣯⣿⣿⣶⣿⣿⣿⣿⣷⢐⣤⣶⡄⠀⠀⠀⠀⡘⢊⢞⡴⢿⣿⣷⣤⡀⠀⠈⢻⣿⣿⡿⣿⣿⣿⣿⡟⠃⡀⠀⢀⣿⣧⠺⢷⠿⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣬⣭⣥⣶⣿⣿⡿⠃⠀⠀⠸⣿⣿⣿⢟⡽⡋⢻⣋⣿⣿⣿⣿⣿⣿⣿⣿⡇⠸⢮⡄⠀⠁⢜⣺⠔⣼⣿⣿⣿⣿⡆⠀⠀⠻⣿⡾⣿⣿⣿⣿⣿⣿⣾⡿⣿⢿⠿⡿⡶⣾⠟⢟⡿⢿⣻⣿⣿⣿⣿⡿⠿⠿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⠋⠀⠀⠀⢀⣠⣽⢿⣧⣼⣦⣵⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⡌⠐⠁⡃⠀⠙⡺⣡⣿⣿⣟⣹⣿⣇⡂⠀⠀⠈⢃⣿⣿⣿⣿⣿⣿⣿⣯⣹⢻⣸⣗⣧⣻⣦⣤⣧⣾⣿⣿⣿⣿⣿⣇⣛⣴⣿⡿⠿⠍⠙ ䷩ 𝚕𝚒𝚗𝚎 507 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/04/19/G_A_I_Hey_Hi_AI_Bubble_Bursting_With_More_Mass_Layoffs.shtml Gemini version at gemini://gemini.techrights.org/n/2024/04/19/G_A_I_Hey_Hi_AI_Bubble_Bursting_With_More_Mass_Layoffs.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ G.A.I./Hey Hi (AI) Bubble Bursting With More Mass Layoffs⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Apr 19, 2024 "Of course AI is a bubble. It has all the hallmarks of a classic tech bubble. Pick up a rental car at SFO and drive in either direction on the 101 – north to San Francisco, south to Palo Alto – and every single billboard is advertising some kind of AI company. Every business plan has the word “AI” in it, even if the business itself has no AI in it. Even as two major, terrifying wars rage around the world, every newspaper has an above-the-fold AI headline and half the stories on Google News as I write this are about AI. I’ve had to make rule for my events: The first person to mention AI owes everyone else a drink." - Cory_Doctorow * ⚓ Stability_AI_Lays_Off_10%_Of_Staff_—_Report [Ed: They say "GAI" or "Advanced" "hey hi" is the future; it clearly isn't. It's just a way to waste energy and money while getting sued for misuse of works.]⠀⇛ This has been a tough week on the layoffs front for AI startups. Troubled artificial intelligence startup Stability AI is laying off 10% — estimated to be about 20 people — of its workforce, per a report by CNBC. The layoffs are just the latest hit for the artificial intelligence-driven visual art startup. In 2022, Stability AI locked up a $101 million raise led by Coatue, Lightspeed Venture Partners and O’Shaughnessy Ventures. The company did not release a valuation at the time, but Bloomberg reported the new cash infusion valued the company at around $1 billion. * ⚓ The Register UK ☛ Stability_AI_decimates_staff_just_weeks_after_CEO leaves⠀⇛ Stability AI is laying off staff in its search of steadier footing following the sudden departure of its CEO late last month. The British generative AI builder revealed the layoffs Wednesday night in a memo to staff obtained by The Register. "Following a review of the global team, we have determined the need to restructure parts of the business, which will sadly mean saying goodbye to some colleagues," the letter signed by interim co-CEOs Shan Shan Wong and Christian Laforte reads. * ⚓ Stability_AI_announces_layoffs_following_CEO_departure,_say_sources⠀⇛ The company burst onto Europe’s AI landscape in October 2022 when it raised a $101m Series A from high-profile investors Lightspeed and Coatue, off the back of the release of the popular image generation model Stable Diffusion, which it helped finance. * ⚓ The Verge ☛ Stability_AI_lays_off_roughly_10_percent_of_its_workforce⠀⇛ Stability AI laid off 20 employees just a day after announcing the expansion of access to its new flagship model. This comes after weeks of upheaval that saw its founding CEO leave the company. CNBC reports that the layoffs at the UK-based AI company, which runs the Stable Diffusion text-to-image model, represent roughly 10 percent of its workforce. In a memo to staff, interim CEOs Shan Shan Wong and Christian LaForte say the decision to let go of employees is part of a “strategic plan to reduce our cost-base, strengthen support with our investors and partners, and enable teams to continue developing and releasing innovative products.” * ⚓ Tech Times ☛ Stability_AI_to_Announce_Layoffs,_Major_Restructuring Weeks_After_Audio_Generation_Tool_Launch_|_Tech_Times⠀⇛ According to an emailed memo sent by interim Chief Operating Officer Shan Shan Wong and Chief Technology Officer Christian Laforte, the planned layoffs come as the company works to cut costs. "Following a review of the global team, we have determined the need to restructure parts of the business, which sadly means saying goodbye to some colleagues," the email reads. * ⚓ Futurism ☛ Maker_of_Stable_Diffusion_Conducts_Mass_Layoffs⠀⇛ For months now, the company behind the Stable Diffusion AI image generator has been publicly falling apart — and now it's conducting mass layoffs. As CNBC reports, Stability AI — the creator of the image generator — laid off 20 people this week as the company attempts to "right-size" its business model in the wake of the publicity-garnering exit of its former CEO Emad Mostaque last month. ䷩ 𝚕𝚒𝚗𝚎 638 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/04/19/IRC_Proceedings_Thursday_April_18_2024.shtml Gemini version at gemini://gemini.techrights.org/n/2024/04/19/IRC_Proceedings_Thursday_April_18_2024.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ IRC Proceedings: Thursday, April 18, 2024⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Apr 19, 2024 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Lighthouse_against_bleak_sky⦈_ 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇GN 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇GNOME_Gedit⦈_ #techrights_log #boycottnovell_log 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇GN 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇GNOME_Gedit⦈_ #boycottnovell-social_log #techbytes_log =============================================================================== The corresponding text-only bulletins for_Tux_Machines and for_Techrights contain all the text. Enter_the_IRC_channels_now ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢀⣠⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣦⡀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣣⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⠛⠻⠿⢿⣿⣿⣿⣿⣿⣏⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿ 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⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ䷩ 𝚕𝚒𝚗𝚎 864 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/04/19/Meme_EPO_Technical_Meetings.shtml Gemini version at gemini://gemini.techrights.org/n/2024/04/19/Meme_EPO_Technical_Meetings.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ [Meme] EPO “Technical” Meetings⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Apr 19, 2024 The EPO remains_an_institution_full_of_despots_who_commit_or_enable illegalities for personal_gain. 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Chang Powerpoint No Yes by Year Community: I don't always talk to staff; When I do, I ignore them⦈ ⣤⣤⣤⣤⣤⣤⣄⣀⣀⣀⡀⣶⠀⣶⢶⣤⡶⣆⣶⣰⢰⢶⡶⠉⣰⣾⢱⡎⣾⣶⣽⣎⣶⣶⣶⣦⡶⣆⠰⣶⠶⣶⡆⣶⢹⣦⡶⠹⢶⡶⣴⣶⠉⣴⢶⠰⣶⢶⣶⣰⡶⢶⡶⠠⠤⠤⠤⠤⠤⠤⠤⠀⠀⠉⠉⠉⠉⠉ ⣿⣿⣿⣿⣶⣶⡶⠶⠿⠿⡇⣿⠈⣿⣸⣿⣇⡿⣿⣿⢸⣽⡇⡏⣿⣿⣸⣇⣿⡿⣿⢿⣿⡇⣿⢠⣝⣷⠓⣿⢰⡯⣧⣿⣸⣿⣧⠿⢿⡇⣿⣿⠀⣭⣻⡆⣿⢸⣿⣿⡟⢻⡟⠀⠀⠀⠐⠀⠀⠀⠂⠀⠀⠀⠀⢀⣀⣀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣖⣟⣷⣿⠈⣶⣾⣷⣶⠉⢸⣿⣿⣿⣷⡏⠈⠉⠉⣭⣶⣭⣵⣷⣭⣬⣥⣭⡍⠉⠁⠉⠀⠈⠁⠈⠁⠀⠈⠉⠀⠉⠉⠉⠉⠁⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣒⣒ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⣿⣿⣿⣯⡀⢸⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠠⠤⠤ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠈⠉⠉ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣀⠀ ⣾⣶⣶⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠐⠒⠒ ⣭⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠅⡟⠻⣿⣿⣽⣿⡿⠻⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠠⠤⠤ ⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠂⠀⠀⠙⣿⡿⡛⠀⠀⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠨⠭⠭ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠁⠀⠀⠀⠀⠀⠙⡇⣿⣆⠀⠀⢻⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢀⣀⣀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⡄⠀⠘⡇⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢐⡒⠒ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⡇⠀⠀⠃⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣯⢉⣉⣿⣿⣛⣿⣏⣉⣙⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⣾⠖⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠬⠭⠭ ⣦⠸⣼⣯⣤⣵⠤⢿⡥⠠⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⣿⠀⠛⠛⠟⠋⠉⠋⠉⠙⠻⢿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⣷⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⡐⢐⣒ ⠙⠀⠀⠀⠒⠒⠒⠒⠒⠒⠒⠚⢿⣿⣿⢛⣛⣋⣃⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠀⠀⠐⣷⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠍⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⠤⠀⠀⠠⠤⠤⠤⠤⠼⠭⠽⠤⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⠀⠀⠟⠘⢛⣛⣛⣛⣛⣛⣛⣛⣛⣒⣀⣀⣀⣀⣀⣀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⣠⡄⣤⣤⣤⣤⡄⣤⣤⢠⡄⣤⠀⢠⣤⠀⣠⣭⣝⢃⣤⣄⠀⠀⠀⣤⠀⢠⣤⢀⣤⣄⢠⣄⣤⡀⣠⣤⡀⣤⣼⡃⣤⣤⠀⢠⣤⣤⢠⡄⣤⢠⣤⡄⣤⣄⣠⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⠀⠀⠤⠸⣿⣿⣷⣿⢹⣿⣿⡇⣿⣥⢸⣷⣿⠀⢸⣿⠀⣿⡇⣿⢸⣿⣿⡇⠀⠀⣿⠀⢸⣿⣿⣇⣛⢸⣿⣿⣿⣿⣿⡇⣿⣼⡇⣿⣧⠀⠀⣿⡇⢸⣧⣿⢸⣿⡄⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⣿⣿⢸⣿⣿⡇⣿⣤⢸⡿⣿⠀⢸⣿⠀⣿⣧⣿⠸⣿⣿⢧⡄⠀⣿⠀⢸⣿⢿⣧⣿⢸⡏⣿⡿⣿⣿⠇⣿⢸⡇⣿⣧⡄⠀⣿⡇⢸⡇⣿⢸⣿⣤⣿⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ䷩ 𝚕𝚒𝚗𝚎 911 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/04/19/Over_at_Tux_Machines.shtml Gemini version at gemini://gemini.techrights.org/n/2024/04/19/Over_at_Tux_Machines.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Over at Tux Machines...⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Apr 19, 2024 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Closeup_of_a_snail_on_the_road⦈_ ⚓ Updated This Past Day⠀⇛ 1. ⚓ Graphics_and_Games:_OpenXR_1.1,_wayland-protocols_1.35,_Descent_3, Godot_4.2.2_&_4.1.4⠀⇛ 4 stories about games and graphics 2. ⚓ Windows_TCO_Tales⠀⇛ Cost of Windows ⚓ New⠀⇛ 3. ⚓ Different_Linux_Distributions⠀⇛ A distro provides the user with a desktop environment, preloaded applications, and ways to update and maintain the system 4. ⚓ Today_in_Techrights⠀⇛ Some of the latest articles ⚓ New⠀⇛ 5. ⚓ Security_Leftovers⠀⇛ Security incidents and more 6. ⚓ Free_Software_and_Open_Access_Leftovers⠀⇛ Some FOSS and more 7. ⚓ Programming_Leftovers⠀⇛ Programming related links 8. ⚓ Breeze_Icon_Updates_for_KDE_and_COSMIC_Updates⠀⇛ Some Desktop Environment stuff 9. ⚓ Devices/Embedded:_Wind_River_Linux,_Embedded_Update_Process,_Raspberry Pi,_and_OpenWrt⠀⇛ 4 stories regarding hardware 10. ⚓ Clonezilla_Live_Is_Now_Patched_Against_the_XZ_Backdoor,_Powered_by Linux_6.7⠀⇛ Steven Shiau released today a new version of his Clonezilla Live system for disk cloning/imaging based on the powerful Clonezilla software, Clonezilla Live 3.1.2-22. 11. ⚓ today's_howtos⠀⇛ a handful of howtos 12. ⚓ Security_Leftovers⠀⇛ FOSS centric 13. ⚓ PostgreSQL_Related_News_and_Releases⠀⇛ half a dozen PostgreSQL stories 14. ⚓ Mozilla:_Rust,_Thunderbird,_and_Firefox_WebDriver_Newsletter⠀⇛ 3 bits of news 15. ⚓ Red_Hat's_Corporate_Messaging_(Mostly_Proprietary)⠀⇛ RedHat.com promoting proprietary stuff 16. ⚓ Linux_Kernel_Space_and_Openwashing/Outsourcing_to_Microsoft_by_'Linux' Foundation⠀⇛ Some "Linux"-themed news 17. ⚓ Atlassian_Flaw⠀⇛ Some coverage today 18. ⚓ Android_Leftovers⠀⇛ The camera on this Android phone is confusing, but I love it 19. ⚓ Industrial_control_board_combines_Raspberry_Pi_CM4/CM5_with_STM32H7_MCU for_real-time_control⠀⇛ The Raspberry Pi CM4/CM runs Linux (Raspberry Pi OS) 20. ⚓ MPV_0.38.0_Launches_with_Advanced_Video_and_Audio_Upgrades⠀⇛ MPV 0.38.0 video player rolls out with new scripting options, enhanced macOS functionality, and Vulkan support 21. ⚓ AAEON_BOXER-8645AI_Jetson_AGX_Orin-powered_embedded_AI_system_supports up_to_8_GMSL2_cameras⠀⇛ AAEON says the BOXER-8645AI runs Ubuntu Linux as part of the NVIDIA Jetpack 5.0 or above like every other Jetson Orin system on the market 22. ⚓ Free,_Libre,_and_Open_Source_Software_and_Openness/Sharing⠀⇛ Openness-esque links 23. ⚓ Devices_and_Open_Hardware_Leftovers⠀⇛ Some hardware picks 24. ⚓ Programming_Leftovers⠀⇛ half a dozen picks 25. ⚓ Linux,_Openwashing,_and_More⠀⇛ today's leftovers 26. ⚓ unPhone_–_An_ESP32-S3_IoT_development_platform_with_LoRaWAN, touchscreen,_open-source_ecosystem⠀⇛ The project is completely open-source, with all files including schematics, board, firmware, and more available on their GitLab repository 27. ⚓ Best_Free_and_Open_Source_Alternatives_to_Google_Tasks,_IRC_Servers, and_ASCII_Art_Tools⠀⇛ We recommend the best free and open source alternatives to Google Tasks 28. ⚓ today's_howtos⠀⇛ a series of howtos for the day 29. ⚓ Games:_Stardust_Demon,_Roboden,_Adventure_of_Rikka_-_The_Cursed Kingdom,_and_More⠀⇛ 10 stories from gamingonlinux 30. ⚓ Kubernetes_v1.30:_Uwubernetes⠀⇛ new release 31. ⚓ Purism_Differentiator_Series,_Part_11:_Convergence⠀⇛ Purism’s innovations in creating a truly convergent operating system has spread far and wide into an ever increasing application list 32. ⚓ Wayland,_where_are_we_in_2024?_Any_good_for_being_the_default?⠀⇛ Fifteen years, and Wayland still isn't as good as X11. At this point, it's a bit sad 33. ⚓ Security_Incidents_(Windows_Mostly)⠀⇛ TCO and more ========================================================================= The corresponding text-only bulletin for Thursday contains all the text. 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🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Red Hat: Microsoft... or Microsoft⦈ Who needs Facebook or Google or Twitter or... whatever. To Red Hat, it's a Microsoft world anyway and "Open Source" like Mastodon does not exist. This is reflectively of a lot of what we've said lately. Red Hat hired people from Microsoft to become Red Hat managers and it shows. “People that use Red Hat, at least with respect to our intellectual property, in a sense have an obligation to compensate us.” --Steve Ballmer ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣺⣿⣿⣿⣿⢻⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠹⣜⣿⣿⣿⡟⢧⣿⣿⣿⡿⡽⣷⣷⣛⡯⡟⣻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣾⣿⣿⣿⢷⣺⣿⣿⣿⣿⣿⣾⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣚⡯⣿⣛⠷⣺⣿⣿⣿⣟⣯⣿⣿⣿⣿⣿⣯⣽⣺⡯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡙⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠀⠀⠀⢿⣿⠉⠍⠟⠻ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⣀⣀⣀⣿⣶⣷⣶⣾ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣹⣿⣿⣿⣿⡿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣧⣿⣿⣿⣿⣿⣍⣷⣾⣵⣻⣿⣿⣿⣿⣿⣎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣭⣽⣭⣿⣽⣿⣿⣼⣿⣯⣽⣵⣶⣽⣿⣿⣿⣯⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣯⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣻⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⣟⣭⣹⣿ 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═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/04/19/Russell_Coker_Debian_September_11_Islamist_sympathy.shtml Gemini version at gemini://gemini.techrights.org/n/2024/04/19/Russell_Coker_Debian_September_11_Islamist_sympathy.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Russell Coker & Debian: September 11 Islamist sympathy⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Apr 19, 2024 [Article 2 years old] Reprinted with permission from disguised.work. One of the more unusual discussions on the debian-private_(leaked)_gossip network are the numerous flame wars that erupted after the September 11 attacks in New York and the Pentagon. Some developers wanted to express sympathy, others wanted to condemn and some even demanded revenge. At a high level, this is the type of discussion that thought police have sought to banish by carpet-bombing free software organizations with codes of conduct/ obedience. Today we will sneak into the time machine and listen to the forbidden music. At the time Russell_Coker sent the email about Palestine, news reports were telling us about Palestinians_celebrating_the_attacks. Was Coker inspired by that or was his email a mere coincidence? The controversial_video_is_available here. The attacks were on the morning of 11 September. The news report appears at 10: 13am. A_fake_news_check_asserts_it_was_both_filmed_and_broadcast_on_11 September. Coker sent his email with references to Palestine the following day, 12 September. At least some people claim_the_celebrations_were_real_and_took offense_at_this. Anybody writing a message like this today would be expelled/banned/censored immediately by the thought police. █ Subject: Re: Comdemn or sympathize? Date: Wed, 12 Sep 2001 11:08:01 +0200 From: Russell Coker Reply-To: Russell Coker To: Nils Lohner , debian-private@lists.debian.org On Wed, 12 Sep 2001 09:29, Nils Lohner wrote: > The discussion regarding condemning the bombing have two sides, people > for and people against. But the sentiments are the same, here's why: > > Sympathy means 'inclination to think or feel alike : emotional or > intellectual accord'. This I think we all feel, and this I think is > fine to express by having the debian pages black for a day or so to > express our sympathy. This is NOT a political statement. I would like > Debian to express sympathy. Fine, then let's also express sympathy for people on the other side. Palestinean police officers killed or injured in attacks on police buildings, Columbian cocoa farmers who are getting royally screwed by the US government intervention (if they are to stop producing cocoa they should be protected from attack by the drug barons), Iraqi civilians who suffer from lack of food and medical treatment due to ongoing US bombing raids against their country, etc. I oppose expressing sympathy for only one side in a conflict, I believe that would have to be considered a political act. -- http://www.coker.com.au/bonnie++/ Bonnie++ hard drive benchmark http://www.coker.com.au/postal/ Postal SMTP/POP benchmark http://www.coker.com.au/projects.html Projects I am working on http://www.coker.com.au/~russell/ My home page § Video allegedly shows Palestinians_dancing_in_the_streets⠀➾ 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Palestinians_dancing_in_the_streets⦈_ § Russell Coker speaking about NSA Security Enhanced Linux at Linux.Conf.Au 2022⠀➾ 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Russell Coker, Debian, Linux, SE, NSA⦈ § 2001-09-11 scenes from New York City⠀➾ 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇September 11, plane⦈ 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇September 11, firefighters⦈ ⠀⠀⠀⠀⠉⠉⠁⠀⠈⠀⠀⠀⠀⠁⠈⠉⠀⠈⠀⠁⠀⠀⠀⠀⠀⠀⠉⠉⠀⠛⠻⠷⣶⣶⣾⣶⣷⣶⣶⣶⣶⣿⣿⣶⣶⠿⠷⢶⣿⣿⣷⣿⣶⣾⣶⣷⣶⣾⣶⣾⣷⣿⣾⣿⣿⣶⣶⣶⣾⣷⣶⣶⣶⣶⣶⣷⣶⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⢛⣻⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⣿⣿⡏⠀⢰⣶⡀⠈⣿⣿⣿⣿⣿⠯⠽⢷⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⢈⣉⣠⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠈⠩⢟⣩⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠳⠶⢤⣄⣀⣀⡀⠀⠀⠀⢈⣿⡇⠀⢀⣀⡀⣴⣶⣤⣾⣿⣿⣿⣿⣿⣿⣿⡏⠛⣿⣿⣷⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣶⣦⣤⣀⡀⠀⠀⠈⠉⠙⠛⠲⠶⠾⠿⠇⠴⠾⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⠿⣿⣿⣷⣾⣿⣿⡟⠛⣻⣿⣿⣿⣿⣯⣭⣿⣿⣿ ⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⡀⠀⠀⠀⢰⣶⠀⠀⢀⣶⣶⣤⣀⣀⡀⠀⢀⣀⣀⣴⣶⣿⣿⣿⣿⣿⣿⣭⣿⠀⠀⠀⠨⠅⠉⣿⣿⣿ ⣛⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡯⠉⢛⣛⣛⣻⣿⣿⣿⠄⠀⠀⢸⣿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣿⣿⣿ ⠛⠻⡿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣦⣶⣼⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠂⠀⠀⠀⣀⡀⣀⣀⣀⣿⣿⣿⣿⣿⣿⣿⣿ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣾⣿⠿⣿⣟⢻⣿⣿⣿⣿⣛⣿⣿⣿ ⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢿⣿⣷⣿⣿⣇⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣻⣿⣇⣀⣀⣁⣀⡀⠀⢀⠀⢀⣿⣿⠀⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⣶⣶⣶⣾⣿⣇⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡉⠉⠉⠙⠿⠿⢻⠿⠛⣻⣿⣿⣿⣿⣿⣿⠀⠀⣿⡀⢈⣙⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣉⣿⣿⣿⣿⣿⠀⢘⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⣰⡄⢀⣀⣸⣷⣶⣿⣿⣿⣿⣿⣿⣿⣤⣾⣿⡇⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠸⣿⣿ ⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⢀⡀⣴⣿⣿⣿⣿⣿⣿⣿⠄⢴⣠⣿⣿⣿⣿⡿⢁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⡟⠉⠉⠉⠉⠙⢻⣿⣿⣿⠀⢸⣿ ⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⣈⣁⡀⠈⠻⣿⣿⣿⣿⣿⣆⢸⣿⣿⣿⣿⣿⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢸⣿⠀⠀⢀⣤⣤⣤⣤⣿⣿⡿⠀⣾⣿ ⠀⠀⠀⠇⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⣻⣿⣿⣿⣿⡟⠸⣿⣆⠻⣾⣿⣿⣿⣿⣿⣿⣧⣴⣿⣿ ⠀⠀⢈⡇⠀⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢁⣤⣀⢠⣤⣴⣶⣾⣿⣿⣿⣯⠋⠀⣠⣿⣿⣷⣿⡟⠿⠿⠃⠀⠀⠀⣿⣿⣿ ⣀⠀⣸⡇⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠉⠉⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣷⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⢀⣴⣿⡏⠉ ⠛⠀⠈⠁⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡿⠓⠛⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⣾⣿⣿⣧⣶ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⢀⣿⣿⣿⣿⣿⣿⢩⢀⠀⡅⢀⠀⠀⡄⢹⢿⣿⣿⣿⣿⣿⣿⢻⢻⣻⢛⡛⢻⣿⡏⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣶⣰⣶⡆⠉⠉⠉⠙⠻⣿⣿⣿⣇⠀⣻⣿⣿⠿⠿ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣭⣉⣭⡅⠀⠀⠀⣿⣿⣿⣿⣿⣿⡏⢸⠸⠀⠇⣼⣰⣦⣧⣾⣿⣿⣿⣿⣿⣿⠿⠘⠘⠻⠸⠇⣸⣿⣷⣿⣿⣿⣿⣏⣿⣿⣿⡿⣿⣴⢾⡿⡇⠀⠀⠀⠀⠀⠈⢿⣿⣿⠀⠙⣛⠉⠀⣤ ⠀⠀⠀⠀⠀⠀⠀⢛⣿⢛⡟⠛⢿⣿⡿⠀⠀⠀⠙⠛⠛⠛⠛⠛⠒⠒⠒⠒⠒⠒⠚⠛⢛⡛⣛⡛⠛⣛⢻⣿⣟⡒⠒⢒⡒⡒⢒⡒⠒⠒⠒⠒⠒⠒⠒⠚⠚⠓⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⠀⢈⣿⣿⠟⠛ ⠀⠀⠀⠀⠀⣰⣷⣿⡏⠀⣧⢻⣶⣶⠂⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣧⢯⠿⣍⣿⣼⣿⡿⣧⡅⠸⣧⠇⠸⠻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣄⡀⣛⣃⣀⣀ ⠀⠀⠀⠀⢠⣿⣽⣯⡅⢸⣿⣼⣬⣯⡀⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⡶⣦⣶⣦⡴⠂⣶⣶⣶⡖⡖⣶⢲⡶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⣿⡿⢻⣿⣿⣿ ⠀⠀⠀⠀⠘⣿⡿⠿⠗⠸⠹⠿⠿⠛⠛⣿⡷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠃⠛⠛⠉⠉⠉⠛⠛⠋⠋⠁⠉⠉⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣦⣀⡀⠈⠀⠈⢿⣿⣿ ⠀⠀⠀⠀⠈⠉⠙⠛⠛⠐⠛⠛⠀⠋⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⠶⠶⠶⠤⠄⠀⠀⠀⠀⠈⢻⣿⣿⣶⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡐⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠿⠿⠟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠿⠄⠀⠀⠀⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⡟⠿⣿⣉⣛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣼⣿⣿⣿⣿⡿⠛⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⣩⣵⣲⡶⣖⢲⣲⡬⣭⣙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢿⣿⢻⣿⣿⡇⠀⣿⣿⣷⣖⢶⠆⠀⢿⡧⠿⠻⠝⠫⠏⠻⣻⣿⠿⠋⣡⠔⢐⣨⣯⣾⣦⣶⣾⣽⣷⣤⣷⣾⣮⠐⠨⡙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣼⡏⠈⣿⣿⠇⠀⠙⠙⣓⠚⠒⠂⠀⢸⣷⣤⢤⣔⣶⣦⣶⠜⠁⠀⠐⢁⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣷⣄⠐⠈⠙⢿⣿⣿⣿⣿⡿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢹⡇⠀⣿⣿⠀⠀⠀⠀⠉⠀⠀⠀⢸⢸⢰⡏⢈⣷⣿⡹⠁⠀⢠⠊⣡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠉⠉⠉⠙⠃⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⠂⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⣾⡇⣸⣿⠟⠀⠀⢠⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠸⠟⠀⠀⠀⠀⠀⠀⠀⠀⢸⠸⢿⡟⣿⣿⠀⣀⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⡀⡀⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣀⠀⠀⡀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠸⣿⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠠⠀⠀⣿⠗⠀⢳⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠸⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠁⠀⠀⣿⣿⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠈⡇⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢸⢻⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⡇⠀⠀⠀⠀⠀⠀⠀⣿⠇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠿⣟⠛⠛⡛⢛⣛⣛⠿⠀⠀⠀⠀⠀⠀⠀⠀⠑⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⠘⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⢪⣥⣾⠟⠛⠒⠲⣒⣒⠈⢹⣿⡔⠸⣯⣽⣬⣤⣿⣶⣾⣿⣶⡆⠀⠀⠀⠀⠀⠀⠀⢀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣸⣿⣾⣿⣿⣿⣿⣿⣿⠀⣿⣿⣷⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠰⡼⡟⠛⠛⠛⠛⠛⠻⠿⠿⠿⠿⠿⠿⠿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠳⠾⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⡿⠿⠿⣿⣿⣿⠛⠋⢉⣽⣿⣿⣿⣿⣿⠃⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠄⠂⠈⢿⣿⣿⣿⣿⣿⣿⣴⣤⣤⣤⣤⣴⣦⣾⣿⣿⣿⣿⡿⡁⠀⠀⠀⠃⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⡠⠀⡝⣿⡿⠋⠙ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠠⡶⠂⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠏⢀⣷⠀⠀⠀⠀⣿⣿⣶⣶⣦⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣶⡄⣿⠃⠀⠠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⠀⠈⠀⠀⠐⡿⡿⠛⠫⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⣠⣾⣿⡇⠀⠀⢸⣞⢿⣿⣿⣿⣷⣮⣛⠿⣶⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⡀⠀⢰⣾ ⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠛⠁⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⣠⣶⣿⣿⡿⠁⠀⠀⢼⣿⣷⣿⣿⣯⣯⣟⢿⣿⣿⣿⣿⣿⣿⣷⣶⣄⡀⠀⠀⢸⣿⣿⣧⠀⣾⣿ ⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠈⠛⠿⣿⣯⣽⣿⡿⣿⡟⣥⣴⣾⣿⣿⣿⡿⠁⡀⠀⠀⠸⠿⠿⢿⣿⣿⣿⣭⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⢸⣿⣿⡿⠀⠈⢻ ⠀⠀⠀⠀⠀⠀⠅⠀⠀⠀⠀⠄⠁⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡄⠄⠀⠀⠀⠀⠈⢛⣻⣻⣿⣿⣿⣿⣿⡿⣯⠟⠋⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⢀⣱⣍⡁⣼⠿⠿⠿⠟⠛⠿⠿⠿⣿⣿⣿⠧⠀⠀⠀⠠⣄⣀ ⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠴⠤⠤⠤⠤⠤⠤⠤⠬⠭⠤⠭⠭⠭⠭⠭⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⢿⠿⠯⠿⠥⠤⠤⠤⠤⠤⠤⠤⠯⠤⠤⢴⠤⠤⠤⠤⠄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠛⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⠀⠀⠀⠀⢨⣿⣿⣿⣶⣤⡆⠠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡏⠁⠀⠀⠀⠀⠀⠃⠀⠈⠃⠀⠀ ⠀⠀⠀⠀⠀⠻⣿⣿⣷⠏⢟⠗⢐⣼⠿⠿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⠿⠀⣀⠀⠀⠀⠀⠀⠀⠀⢀⠀ ⠀⠀⠃⠄⠐⠀⠈⢺⣿⠀⣿⠀⢰⠀⠀⢶⠰⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡎⣿⣿⡟⠃⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠐⠀⠼⠀⠹⠀⠠⠀⠀⠈⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⡇⠀⣿⠋⡀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠇⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢂⢀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⠿⠛⢻⣿⠟⠛⠟⠛⢻⣿⣶⣶⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠘⠈⠈⠃⠆⠰⠀⠀⢰⢰⠀⠀⠀⠀⠟⢑⣒⣄⣿⣿⣿⣿⣿⣿⣿⣿⠟⠻⢁⢨⠹⣿⣿⣿⡿⠇⠀⠀⠘⣿⣿⣿⡇⠀⠀⠹⠻⠿⠿⠟⠀⢀⣸⣿⡀⠀⠀⠀⠠⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠈⠀⠀⠀⠀⡀⠍⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⢺⣿⣿⡷⠄⠀⠀⠀⠻⠟⠁⠠⠀⠀⢴⡆⠀⠀⠀⠀⠈⢿⣿⡇⠀⠀⠀⠀⠈⠁⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⣿⣿⣿⣿⣿⡉⠙⠉⠉⠀⠀⠀⠠⣽⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⢀⠈⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠶⠀⠸⠱⢿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠈⠟⠀⠀⠀⠀⠀⠀⠀⠀⢀⢄⠀⠀⠀⠃⠀⠀⠀⠀⠉⠠⠔⠀⠀⠀⠀⠀⠀⠀⡠⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡟⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣠⠁⠁⠀⠀⠐⠂⠀⢀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⣿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⢸⡇⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⢀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⠀⠀⠀⡆⠀⢀⣤⣤⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⣇⠀⣨⡟⣧⡄⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⢉⣀⠨⠇⡿⠀⠀⠀⠀⠂⠀⠈⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⡿⡇⠀⠀⠀⠀⠀⠀⢀⢀⣀⣈⡉⡙⠁⠀⢀⡀⠀⠀⢀⢐⣂⠀⣀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠀⠀⠀⠀⠀⠀⠀⠀⠐⢶⣶⣶⠆⠀⠀⠀⠀⠀⠀⣄⣙⢲⣿⡾⢈⡙⢟⠀⠀⢒⠀⠀⠀⠀⠸⡿⢁⡀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡒⠂⠀⠈⠁⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⡁⡬⠇⠀⠀⠀⠀⠀⠠⢯⠻⠊⣒⢖⡀⢘⣠⣈⡄⠹⢶⣎⠐⡀⠀⠀⠀⠈⠀⠀⢰⣄⣄⣠⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠋⠐⠀⠁⠀⠀⠀⠀⠀⠘⠿⠓⠀⡈⣉⣒⡒⠶⠎⠠⠤⠤⠤⢌⡹⠒⠀⠀⠀⠂⠀⠐⠋⠁⠉⡹⠟⠉⠻⠉⠋⠅⠒⡔⠠⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠓⢒⢶⠿⢶⡴⠶⠻⠑⠀⠀⠙⢧⡴⠴⠤⠒⠐⠀⠀⢄⡀⡀⠀⠐⠚⠂⠐⠂⠔⠐⢒⣡⣘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠐⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠄⠀⠐⢺⠂⠤⠤⠖⠚⣉⠀⢀⡀⠔⡀⠀⣠⣦⣌⡼⢕⣂⠀⠂⠀⠴⠦⢄⣀⡀⢀⠠⠠⢼⣶⠤⠯ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⢀⠀⣄⣀⠀⠀⠰⠶⠀⢀⣀⠀⣀⡠⠎⣀⣐⣄⠂⠄⣠⣬⠁⠉⣴⣕⣆⣅⣻⣍⣙⠡⢵⠥⢄⣩⡑⣆⡀⠋⠀⢠⡖⠒⠶⣤⣐⢒ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠑⠒⢚⣛⠋⣀⡁⠀⠀⠤⠆⠐⠈⠉⢑⡲⣶⢛⡉⠿⢶⡿⢒⠛⠂⠤⢚⣲⢦⣤⣤⣭⡥⠂⠉⢉⣴⠖⠂⠒⠂⠐⠢⠐⣒⠈⣡⣥⣐⣀ ䷩ 𝚕𝚒𝚗𝚎 1549 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/04/19/Sven_Luther_Thomas_Bushnell_Debian_s_September_11_discussion.shtml Gemini version at gemini://gemini.techrights.org/n/2024/04/19/Sven_Luther_Thomas_Bushnell_Debian_s_September_11_discussion.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Sven Luther, Thomas Bushnell & Debian's September 11 discussion⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Apr 19, 2024 [7 months old] Reprinted with permission from disguised.work. Today [sic] is the anniversary of the tragic attacks on the United States, where we remember thousands of civilians who died, especially the emergency services who risked their lives trying to help the victims. We began to explore Debian's_relation_with_September_11_in_2022. It is interesting to look at the way people reacted to the crisis in the rest of the world. Many people added comments into multiple threads on the debian- private_(leaked)_gossip_network. Today we will simply look at an exchange between Sven_Luther and Thomas_Bushnell. Subject: Re: Comdemn or sympathize? Date: Thu, 13 Sep 2001 07:44:50 +0200 From: Sven To: Thomas Bushnell, BSG CC: David Starner , debian-private@lists.debian.org On Wed, Sep 12, 2001 at 09:32:09AM -0700, Thomas Bushnell, BSG wrote: > Sven writes: > > > Aren't the US the biggest weapon producer and exporters ? > > No. The big country in the free world which is known for selling guns > to terrorists is...FRANCE. Well, any weapon sold is sold for murder, there is no difference if it is so a US lunatic can slaughter a whole school, a israeli soldier can send missils on civilians or a terrorist can make an attentat, or does it ? And just because there is a scandal about french weapon dealers to africa right now doesn't make the fact that the 3 biggest weapon industries are US based, and they are bigger by a bg deal than the others. And they are known to influence the US governement without shame or doubt, like was done in the vietnam and iraqui case, among many others. Friendly, Sven Luther Ironically, the misfits insist that the best way to reduce conflict in the free software community is to assassinate people who ask questions about accountability. █ ䷩ 𝚕𝚒𝚗𝚎 1626 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/04/19/The_Latest_Wave_of_Microsoft_Crime_Bribes_and_Fraud.shtml Gemini version at gemini://gemini.techrights.org/n/2024/04/19/The_Latest_Wave_of_Microsoft_Crime_Bribes_and_Fraud.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ The Latest Wave of Microsoft Crime, Bribes, and Fraud⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Apr 19, 2024, updated Apr 20, 2024 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Facade_in_simple_styl⦈_ Moments ago: GNU/Linux_(and_ChromeOS)_Rise_to_Highest_Level_This_Year, Globally,_Based_on_statCounter SO Linus_Torvalds_now_openly_mocks_"AI" (which he calls hype) and an associate of ours has found another_example of "legalized bribery" by Microsoft (we gave other_such_examples); they nowadays disguise bribes to governments as "investment" in "AI" and sometimes they buy fake "clients" by basically "partnering" with companies, giving them money to give back to Microsoft, faking "demand". The above example ("Microsoft aims to triple datacenter capacity to fuel AI boom") is one of many. When you read about Microsoft partnering with an "AI" company read that as, Microsoft pays some company to buy "Azure" time (part_of_the_ongoing_fraud). Microsoft is also "donating" computer time under the guise of "investing" in Europe, Japan, etc. It's all a giant scam of Nadella et al. Windows is dying, so they desperately need some vapourware for fake "growth." Microsoft is still an evil, highly corrupt company. From an accounting perspective the above does not work (Microsoft paying people to "become" clients, so debt_has_truly_surged). They basically get shareholders to invest in an epic scam of unprecedented proportions. █ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⠛⠛⠛⠛⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣯⡭⢡⣤⣤⣤⣼⣿⣿⣿⠏⣩⣭⣭⠭⠭⣭⡿⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢰⣶⣶⣶⣿⣿⣿⣿⡿⠠⠶⠶⠶⠶⠶⠶⢶⣛⣛⣋⣛⣿⣷⢫⠶⠶⠶⠶⠶⠶⠶⢂⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡆⣦⣶⣶⣾⣿⣿⣥⣤⣴⣶⣶⣦⣤⣽⣦⣤⣾⣏⢭⣩⣭⣭⣥⣭⠭⠤⠏⠉⠉⡷⣀⢿⠿⣿⣿⠀⢰⣶⣶⣶⣶⣶⣿⣟⣿⣿⣟⣛⣷⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣶⣾⣿⣶⣾⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⢸⡿⠿⢟⣃⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠸⠿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡏⣴⡆⠉⠉⣽⡏⠉⠉⣉⣉⠉⢸⣿⣀⣀⡀⣾⣿⠻⡯⠉⠉⠉⠉⣉⣉⣉⣉⣉⣀⣀⣀⣄⣤⣤⣄⠿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣭⣙⡛⠻⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣇⣿⠃⡏⠉⣿⡇⠀⡇⠀⢸⠀⢸⣿⠁⢠⠃⣿⣿⠀⡅⢒⢲⣶⣾⣿⣿⣿⡿⠿⠿⠿⢿⣿⣿⣿⣿⣭⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⢹⣿⢰⠀⢰⣿⡇⣰⣧⣤⣾⠀⢸⣿⠀⢸⢠⣿⣿⢰⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣷⠀⢸⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⢸⡏⢸⠀⢸⣿⠠⠿⠿⢿⡟⠀⣾⡟⠀⠚⢸⣿⡟⢸⠏⡇⠀⣽⡏⣿⣿⣿⡧⣤⣿⡤⣼⣿⣿⣿⣿⡿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡟⣿⣥⣤⣶⣾⣿⣶⣶⣶⣶⣶⣶⣿⣷⣶⣿⣿⣿⣷⢸⣠⣄⣠⣤⣴⣶⣿⣿⣗⠃⣿⣛⣿⣿⣿⣿⣿⡧⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣭⣽⣽⣿⣿⣿⣿⣿⣿⣧⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣾⣿⣿⣿⣯⣿⣏⡉⣿⢉⣹⣿⣿⣿⣿⡯⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⣿⣿⣿⣿⣿⢳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡜⠈⢩⣿⣿⠿⠿⠿⠿⠿⠯⠿⠭⠼⠿⠿⠿⠿⠿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢠⣤⣼⣿⣿⡿⢸⣯⢉⠉⢩⣿⠈⠁⣀⣠⣤⠀⢸⣿⢀⣤⡀⣾⣿⡏⠏⠀⠓⠀⠘⡀⣀⣀⢀⣀⡀⣇⣀⣀⣀⣀⣀⣩⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⡿⠟⢿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣦⣮⡝⡨⣿⣯⣾⡇⢸⠉⣽⣿⠄⠙⢯⣽⣽⠀⣼⣿⢁⠉⠃⣿⣿⡇⣴⡆⣿⣿⣰⣿⢿⣿⣿⡛⣛⣛⣛⣻⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣀⠿⣿⡟⠋⠉⠃⠀⠈⡿⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⣿⢽⣁⠛⠛⠿⢓⠘⠷⣽⣎⢀⠁⢒⣩⣽⠀⣿⣿⡹⠻⠀⣿⣿⠁⣿⡇⣿⣿⣿⣿⢸⣿⣿⡧⡿⡿⠿⢿⣿⣿⢸⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠷⡀⠉⠀⠀⠀⠀⠀⠀⠈⢰⣿⣿⣿⣿⣿⣿⣿⣿ ⡍⠙⢣⠀⠀⠀⠜⠁⠈⠐⠑⢂⠄⠀⡪⠯⡇⠀⣾⣫⣀⡠⠀⣿⣿⠀⣿⣧⣿⣿⣿⣿⢸⣿⣿⡇⡄⣷⣶⣾⣿⣿⢸⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⢀⣀⣀⠀⠀⠀⠥⠠⠄⠉⢉⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢠⡂⣬⣄⠀⠀⠀⠲⢦⡀⠐⠂⢠⠔⠋⠀⢈⠱⠇⣀⣀⣀⣿⣿⠀⡿⣿⣿⣿⣿⣿⢸⣿⣿⡇⠀⡇⠁⢸⣿⣿⢸⣿⡿⠀⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⠀⠒⠀⠀⠂⠂⠀⠀⠄⠀⠀⡀⠽⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠐⠫⠉⠀⡔⡟⢀⣰⡿⠀⠔⠂⠀⣠⣶⡛⠀⣀⠙⠋⡩⠻⢫⣷⡅⢻⡇⠿⢿⡯⣼⠺⠻⣲⣿⣷⣶⣾⠣⣿⢸⡟⠃⠀⣿⣿⣿⣿⣿⣿⣿⣷⣾⣶⡖⠂⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⡤⠀⠀⢸⣿⣿⣿⣿⣿⣿ ⠂⠀⠀⠀⠀⠠⠀⠀⠀⠑⠀⠀⠀⢐⠂⠤⠀⣤⡇⠥⠀⠀⠐⣄⣿⣿⢃⣀⡀⠐⠴⠋⣪⢳⣿⣿⣿⣿⣿⣿⣿⣿⣸⣯⣻⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡆⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⣠⣽⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠈⠀⠀⠀⠄⠀⠄⠠⠲⠾⠀⠀⠲⡳⠀⠀⠀⠀⠀⠖⣋⣻⣿⣿⣿⣯⣹⣿⣿⡏⠉⠉⢉⡍⠉⠉⠉⠉⠉⢩⠉⠁⢛⣿⣟⠒⠳⠖⢓⠟⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠟⠋ ⠴⠖⠂⠀⠉⠚⠀⡀⠀⠀⠀⠀⠀⠀⢀⠀⠀⡠⠀⠀⠀⠀⠀⡀⣷⢀⠈⠉⠛⠋⠈⠉⠉⠀⠀⣀⣀⣂⣀⡀⠀⠀⠀⠢⠀⠀⢨⣿⣽⢰⣞⣄⣃⣄⠀⢠⣤⣤⣤⣤⣤⠀⠀⠀⠀⠀⢠⣐⣶⠀⢰⡾⠏⠉⢙⣠⣤⣤ ⠂⠰⠀⠒⠀⠀⠀⠂⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣹⣿⠀⠀⠄⣦⠀⣄⣶⣶⢸⣿⣿⣿⣿⣿⢰⡶⣦⠀⠀⠀⢸⣿⣿⣼⣥⠐⣁⣲⠀⢸⣿⣿⣧⣿⣿⠀⠖⠠⠀⠀⠀⣿⣿⠀⢸⣾⣿⡇⢸⣿⡿⢿ ⠃⠀⠀⠀⠀⡐⢀⠀⠘⠁⠀⠀⠁⠀⠀⠀⠀⠀⠀⢀⣠⡀⠀⢘⣿⡿⠀⠀⠀⠁⠀⠀⠈⠅⢸⣽⣿⣟⣿⣿⠈⠋⡀⡀⣀⡀⠘⠛⣋⣼⣿⣿⠿⣶⣀⢸⣿⣿⣿⣿⣿⠀⣶⣏⡀⠀⢸⣾⣿⣀⠀⣻⡿⣧⢸⣿⣇⣘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠘⠁⠀⠠⠀⠀⡀⣤⣄⠀⠀⢸⣿⣿⣏⣭⣿⣄⠈⠉⣁⠀⡠⠀⠀⡈⡀⠉⢀⡀⠀⠃⠀⠀⠙⠙⢿⠛⠊⠟⠉⠁⠈⣠⡈⠋⠛⠛⢻⠿⠿⢠⣿⣿⡿ ⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⠈⠀⠀⠀⠩⡼⠃⠀⢸⣿⣿⣿⣿⣿⡿⠁⠀⠀⢴⠧⠀⠈⠱⡀⢠⠅⠁⡄⠁⠀⠀⠀⠀⠀⠀⢀⠂⠠⡄⠂⠀⠀⠀⡀⢀⡀⢀⠀⢸⠿⢶⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡧⢀⢠⠤⣤⡄⠀⡌⠿⠀⠀⠀⠀⠈⠃⠀⠀⠀⢀⠀⠀⠀⠀⠀⠁⠀⢠⣤⡀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⢸⣦⡐⠀ ⠀⠆⠀⢀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⡇⠘⠀⠀⢠⠀⢈⠀⠁⠀⠀⠀⠠⡦⡇⣾⢸⠃⠸⡄⡅⡷⠀⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠀⠀⠀⠀⠀⡀⢀⠀⡇⣀⠀⡘⠀⠀⠀⢸⣿⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡗⡇⠁⠀⠁⠈⠀⠁⢣⢲⣿⠀⠘⠃⠛⠘⠀⠀⠐⠘⠛⠀⠂⠐⠀⠀⠀⠀⠂⠘⠐⠃⠒⠘⠃⠛⠚⠛⠛⠐⠃⠀⠀⠀⠈⣯⠋⡇ ䷩ 𝚕𝚒𝚗𝚎 1702 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/04/19/Video_Microsoft_Got_Its_Systems_Cracked_Breached_Again_This_Tim.shtml Gemini version at gemini://gemini.techrights.org/n/2024/04/19/Video_Microsoft_Got_Its_Systems_Cracked_Breached_Again_This_Tim.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ [Video] Microsoft Got Its Systems Cracked (Breached) Again, This Time by Russia, and It Uses Its Moles in the Press and So-called 'Linux' Foundation to Change the Subject⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Apr 19, 2024, updated Apr 19, 2024 Video_download_link | md5sum eba6c7b9ebb2b2e10fda19be8564cfec Microsoft_Staff_Does_Not_Speak_for_Linux Creative Commons Attribution-No Derivative Works 4.0 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Preview_for_Microsoft_Staff_Does_Not_Speak_for_Linux⦈_ TWO days ago we mentioned how_Microsoft_employees_kept_speaking_as_if_they_were spokespeople_for_Linux, in effect bashing it on behalf of Microsoft. Sounds familiar? At the moment Microsoft has plenty to distract from, especially after CISA published official communications to that effect ("CISA_Issues_Emergency Directive_24-02:_Mitigating_the_Significant_Risk_from_Nation-State_Compromise of_Microsoft_Corporate_Email_System", 2024-04-11). Very shortly later we saw lots of noise which we suspect can be attributed/ related to that. Microsoft tries hard to 'hide' reports like these: " US_Cyber Agency_Says_Russian_Hackers_Used_Microsoft_Access_to_Steal_Government_Emails", 2024-04-11. An associate spotted this_terrible_Microsoft_puff_piece, arguing that it misrepresents Microsoft as an authority on anything other than getting breached (by Russia). They speak about "Russia", but it has nothing to do with the breach, e.g. "Microsoft_Finds_Russian_Influence_Operations_Targeting_U.S. Election_Have_Begun", 2024-04-17. There are more instances like these, even in widely-read political sites, that we took note of and additional examples collected_yesterday. This serves to distract from the national security danger Microsoft is - the chaos and mayhem of political/industrial espionage, owing to ransomware and worse things (like attacks_on_the_water_supply). There are many_more_examples_of_this_one and the Linux_Foundation joined/chimed in on the same week. About 10 examples were amassed in the sister site, but quantity isn't what's important here. Nor does quality, but I saw close to a dozen blog posts and articles about "Xz" something, even 20 or so days after it was considered news. That's a lot more than I saw about the Russian breach/CISA affair (may be biased by the set of sites I've chosen to follow closely). In IRC, parsifal told me "the tin clanking continues," basically complaining that the Linux Foundation is at it again. Shouldn't the Linux Foundation be boasting that GNU/Linux is secure while encouraging its adoption? Well, not when Microsoft employees (still on Microsoft's payroll) claim to be speaking for "Linux". Judging by this_report, it's not only the Linux Foundation getting stacked but also the government. As an associate explains, the US government is worsening the Microsoft dependencies rather than ameliorating them and over at the Linux Foundation there are several Microsoft proxies with "Open" in their name, which means that the "Linux" Foundation is now a Microsoft mouthpiece that contributes to articles like "Open source groups fear Xz repeat as suspicious messages fly" (they're just looking for ways to_bring_up_Xz_again). This is a disgusting war of propaganda, which I decided to explain using the video above. The sad thing is that a group of Microsoft employees inside the Linux Foundation (LF) more or less 'spams' the media, googlebombing 'linux' and bringing up 'Xz' again. "Yes," an associate told me, "there is a lot of LF spam now, mostly pushing Microsoft or other_openwashing..." Of course they also love blaming "Linux" any time there is some malware found on some machine, no matter how it got there or whose fault it was (administration mistakes, bad software, misconfiguration, no patching etc). We can only hope that if we call out this kind of misdirection often enough, then writers will, perhaps in the future, be discouraged from repeating their error, either out of fear of backlash or merely recognition they got their stories wrong. But that's assuming that those writers are honest people, not just marketing and propaganda agents who get_assigned_PR/SPAM_pieces by the publisher, sponsored by companies such as Microsoft. Just to be clear, it's not only Microsoft bribing the media and nowadays the LF is yet another way in which Microsoft manipulates the media. If only they remembered who's behind_OpenSSF and OpenJS. Inside the Linux Foundation there are Microsoft groups and it is not limited to that. LWN is also run by Linux Foundation people (Jon), so they're amplifying so much of the same messaging. In fact, a lot of sites or news "sources" are financially controlled by very few companies, interests, and sociopathic people like Bill Gates, who also infiltrates_the_so-called_'Linux'_Foundation_in_several_ways_already. Then consider how Debian takes GAFAM money via SPI, so they too are unable to criticise the worst offenders, they actually actively suppress and censor people who 'disparage' sponsors (companies that bag hundreds of billions of dollars by spying and much worse). The really sad thing is that sometimes their censorship succeeds and they point to things like "Code of Conduct" to justify the censorship. People eventually lose_sight_of_the_ball. Back doors of Microsoft are presumed good; those who oppose these back doors are "zealots". Suddenly the media alleges that the real "back door" issue is in Linux. If they control the narrative (or buy the narrative), they can do anything. █ ⠀⠀⠀⡷⡜⢸⢠⠂⡆⢢⢢⠐⡂⡔⡄⡟⡗⠀⠪⢅⠒⢀⣢⢺⢻⠃⢸⠉⡆⡔⡄⣔⡤⣒⠀⢸⢆⣧⠒⣴⠂⠀⠯⡅⡔⡄⣔⣄⣒⣼⡤⠀⢰⢣⠢⣰⠂⠀⡇⢸⢰⢢⢰⢰⠰⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠀⠈⠈⠉⠁⠈⠉⠈⠁⠉⠁⠁⠉⠀⠉⠉⢈⣈⣉⣈⣈⡀⠈⠉⠁⠉⠁⡉⠉⠉⠀⠈⠈⠁⣉⣈⣁⣈⣉⣁⡋⢁⢉⢩⣩⣭⣈⠀⣈⣌⣭⢈⣀⣀⣉⣉⣈⣈⣈⣉⣈⣈⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢀⣄⣴⣿⣾⣿⣿⣿⠻⠀⣠⣴⣶⣾⣿⣿⣶⣦⣤⡀⠀⠀⠙⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢠⣄⡐⣤⣿⣽⣿⣿⣿⣿⣿⣿⠋⢡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠂⠘⡀⢽⢽⣿⣾⣿⣿⣿⣿⣿⣿⣿⡇⣬⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⢀⡌⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣱⡿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⢀⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠰⢘⡶⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣀⣀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠔⠰⣁⢸⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⠊⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡇⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠘⢚⣧⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠉⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠛⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⠁⠻⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢀⢔⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠀⠠⢄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢱⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢁⣿⣆⠀⢲⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢜⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⢀⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⡾⣶⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢲⡰⢟⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢴⣾⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣹⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠂⠁⠈⠁⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠻⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⣿⡿⠁⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠠⢀⡀⠀⢠⣄⣛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣘⠿⣿⠿⠿⡛⣩⡍⢉⡽⣿⣿⣿⣿⣿⠟⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠈⠙⠒⢌⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⡇⣾⣿⣾⣽⣿⡿⢃⣼⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⣿⣿⣿⣿⣷⣶⡿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣚⣿⣟⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢾⡇⢨⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⢷⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢘⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠟⠿⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⢸⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠀⠈⠈⠘⠓⠉⠉⢠⠄⠁⠀⠸⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢸⡇⠈⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣷⡻⢿⡿⣿⣿⢻⢿⢿⠟⣿⣛⣛⣛⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠨⠵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⠿⠿⠿⠿⠟⠙⠇⠘⠛⠀⠿⠿⠫⠾⠿⠿⠿⠿⠿⠿⠿⠿⠆⠀⠿⠛⠶⠾⠳⠓⠷⠾⠿⠾⠾⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣧⡜⢨⢠⠀⡤⢠⢠⢠⡀⡄⡄⡎⡆⠀⠦⢅⠀⢠⣠⢸⢱⠁⢸⠁⡆⡄⡄⣄⡤⣠⠀⢸⢆⣦⠤⣴⠀⠀⠮⡀⡄⡄⣄⡄⣤⣴⡠⠀⢰⢡⠤⣠⠄⠀⡆⢨⢠⢠⢠⢠⠠⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠠⠈⢈⡈⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠻⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⣿⡿⠃⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢈⡁⠀⢠⣄⣙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣘⠿⣿⠿⠿⡟⣩⡍⢉⡽⢿⣿⣿⣿⣾⠟⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠒⠌⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⡇⣾⣿⣶⣽⣿⡿⢃⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣿⣿⣿⣿⣷⣶⡿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢟⣴⣿⣿⣿⣮⣟⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⢿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⡟⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣚⣿⣛⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢻⡇⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢳⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠘⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠫⠛⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠈⠈⠈⠙⠉⠉⠀⡡⡤⠀⠀⠘⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢸⣇⠀⣿⣿⣿⢯⣿⣿⣿⣿⣿⣿⣿⡻⢿⠿⣿⣿⢻⢿⢿⠟⣿⣛⣛⣛⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠛⠻⠛⠿⠿⠿⠿⠿⠙⠇⠘⠛⠀⠻⠿⠣⠿⠿⠿⠿⠿⠿⠿⠿⠿⠆⠀⠿⠛⠶⠾⠳⠓⠿⠾⠿⠾⠾⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣦⡐⢠⢠⠤⡤⢤⢤⢠⡄⡤⡄⡮⡦⠀⠶⣀⠤⢠⣤⢴⢴⠅⢰⠐⡆⡤⡄⣤⡤⣤⠀⢰⢄⣦⠤⣰⠄⠀⢦⡂⡤⡄⣤⡄⣤⣰⡠⠀⢰⢥⠤⣠⠄⠀⡆⢠⢠⢤⢠⢠⠠⡠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⠁⠈⠈⠂⠁⠈⠊⠀⠀⠑⠁⠃⠑⠀⠑⠊⠐⠈⠘⠘⠘⠀⠘⠊⠁⠑⠁⠑⠁⠊⠀⠘⠈⠋⢛⣉⣂⣀⣓⣁⡇⠁⠁⢩⣬⣭⣈⠀⢨⢨⣬⢘⣀⢀⠓⡚⠘⠘⠈⠚⠈⠘⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⢰⣟⣰⣿⣾⣿⣿⣿⠿⠂⣠⣴⣶⣿⣿⣿⣷⣶⣤⣄⠀⠀⠈⢿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠈⠀⠙⠒⢌⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⡇⣾⣿⣶⣽⣿⡿⢃⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢐⠀⡦⢰⠄⡦⢨⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣼⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣛⣿⣛⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢼⡇⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢳⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⠽⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣩⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠋⠁⠀⠡⠄⠁⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡜⢹⡇⠘⣿⣿⣿⣳⣿⣿⣿⣿⣿⣿⣷⡻⢿⣿⣿⣿⢻⢿⢿⠟⣿⢛⣛⣛⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠨⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠛⠻⠿⠿⠿⠿⠿⠟⠛⠇⠸⠃⠀⠟⠟⠱⠿⠿⠿⠿⠿⠿⠿⠿⠿⠦⠀⠿⠛⠶⠾⠒⠓⠿⠾⠿⠾⠾⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣦⡰⢰⢠⠤⡠⢤⢤⢠⡄⡤⡄⡦⡦⠀⢔⣒⡤⢤⣤⢴⢴⠄⢰⠒⡆⡤⡄⣤⡄⡤⠀⢰⡄⣆⠤⣰⠄⠀⣖⡂⡤⡄⣤⡄⣤⣰⡠⠀⢰⢤⠤⣠⠤⠀⡆⢰⢠⢤⢠⢠⠠⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⠁⠘⠈⠂⠃⠈⠊⠐⠂⠑⠁⠃⠑⠀⠐⠊⠐⠘⠚⠘⠘⠀⠘⠒⠁⠑⠁⠓⠀⠚⠀⠘⠘⠋⠒⠉⠂⠀⠒⠁⠗⠁⠑⢨⣢⣭⡈⠀⢨⢌⣮⠙⠀⠀⠓⠚⠘⠘⠘⠚⠘⠑⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣤⣀⣣⣿⣿⣿⣿⣿⣿⠕⢀⣴⣾⣿⣿⣿⣿⣿⣶⣦⣄⠀⠀⠙⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣲⣤⣯⣽⣷⣿⣿⣿⣿⡿⠁⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⡄⣴⣿⣿⣿⣿⣿⣿⣿⣿⡿⢠⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⢰⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠠⣠⣾⣷⣾⣿⣿⣿⣿⣿⣿⣿⡏⠀⢠⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠁⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠐⠀⠀⢚⠂⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣼⣿⣲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⣀⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠐⠩⣥⢚⣓⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣿⡇⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠐⠂⠽⢾⣟⣻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠁⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠉⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠐⢠⠀⠜⢳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣠⣖⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⠋⠊⢻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣽⣷⣾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢠⣿⢀⠀⢶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠢⢤⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⢰⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣶⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢏⡙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡣⣶⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⡿⠟⣹⡿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠈⢀⠈⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠈⢿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢳⣿⡿⢙⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠈⠀⠀⢠⣄⣙⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⡙⢿⣿⠿⢿⢋⣩⠛⣉⠻⣿⣿⣿⣷⡿⠋⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠀⠉⠒⠌⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⠀⣿⣷⣮⣿⣿⡟⢁⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢸⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣚⣿⣟⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⡇⢸⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣸⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠻⣿⣿⣿⡿⣿⣿⣿⣿⡿⢿⡻⠿⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠈⠁⠈⠉⠋⠉⠉⠠⠄⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⢽⡇⢸⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣯⠿⣿⣿⣿⣿⢻⢿⢿⠟⣿⢛⣛⣛⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠻⠿⠿⠿⠿⠿⠏⠙⠃⠸⠇⠈⠿⠟⠼⠿⠿⠿⠿⠿⠿⠿⠿⠿⠆⠀⠿⠛⠶⠾⠗⠓⠻⠾⠿⠾⠾⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣦⡰⢰⢀⠄⡤⢄⢄⠠⠄⡠⡀⡶⡦⠀⢔⡂⠤⠠⢄⢴⢶⠆⢰⠒⡄⡤⡀⠤⣀⠤⠀⢰⡄⣆⠤⣰⠄⠀⣖⡂⡤⡀⡤⡀⠤⣰⣠⠄⢰⢆⢤⢠⠄⠀⡆⢰⢠⢤⢠⢠⢠⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⠁⠘⠘⠒⠃⠘⠚⠐⠃⠓⠃⠃⠓⠀⠒⠊⠐⠚⠚⠘⠘⠀⠘⠒⠃⠓⠃⠒⠒⠚⠀⠘⠘⠋⠒⠙⠂⠀⠒⠃⠗⠁⠓⢪⣳⡭⡁⠀⡸⢌⡒⠙⠀⠀⠓⠚⠘⠘⠘⠚⠐⠑⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⡀⣠⢠⣤⣜⣫⣿⣿⣿⣿⠻⠃⣠⣶⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠈⢻⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣤⣿⣳⣿⣿⣿⣿⣿⣿⢃⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣌⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⢇⣾⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠉⠈⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠠⠀⠴⠶⢼⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣿⡧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠐⠚⠓⢘⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠸⣿⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⢰⣇⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠈⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⠐⡈⢿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣠⢖⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢃⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⣥⠖⣽⡯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣱⣿⣦⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⣾⣇⠀⢲⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣜⡙⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⢀⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⡇⣧⡎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣘⣩⣋⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢹⣿⢳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠠⠂⢠⣬⢀⠀⠽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡈⠻⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢏⣾⣿⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠡⢈⡁⠀⠠⣄⣙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡘⢿⣿⣿⠿⡞⢙⡛⢛⡹⢿⣿⣿⣿⣼⠟⢁⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠀⠙⠒⠌⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣿⣿⡇⣼⣿⣶⣿⣿⣿⠋⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢁⣿⣿⣿⣿⣷⣴⣾⣿⣿⣿⣿⣿⣿⣿⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢟⣴⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣚⣿⣛⣛⣛⣛⣛⣛⣚⣙⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣸⣟⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢸⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⠯⠿⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣸⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠡⠤⠀⠀⠸⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⢻⣿⠀⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⡸⣿⠛⣻⣿⢻⢿⢿⡟⣿⢛⣛⣛⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠨⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠟⠿⠿⠿⠿⠿⠙⠋⠈⠛⠀⠻⠿⠟⠵⠿⠿⠿⠿⠿⠿⠿⠿⠦⠀⠼⠟⠲⠾⠖⠓⠳⠾⠷⠾⠾⠻⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣦⡰⢐⢀⠄⡀⢀⢄⠀⠀⡠⡀⡖⡤⠀⢔⡂⠤⢀⢄⢰⢲⠆⢰⠒⡄⡠⡀⡠⣀⠤⠀⢰⡄⣆⣤⣠⠄⠀⣔⠀⡤⡀⡠⡀⢤⣰⢀⠀⢠⢆⢄⢠⠄⠀⡆⢰⢠⢄⢠⢠⢠⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠋⠁⠘⠘⠒⠃⠘⠚⠘⠃⠓⠃⠃⠓⠀⠒⠚⠐⠘⠛⠘⠘⠀⠘⠒⠃⠓⠃⠛⠓⠛⠀⠘⠘⠛⠒⠙⠂⠀⠒⠃⡇⠃⠋⢣⣻⡭⡑⠀⢸⠈⣶⠙⠀⠀⠓⠚⠘⠘⠘⠚⠐⠑⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⡤⢤⣄⣴⣶⣿⣿⣿⣟⠕⢀⣴⣾⣿⣿⣿⣿⣷⣶⣤⡀⠀⠀⠹⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣤⣿⣿⣿⣿⣿⣿⣿⡟⠁⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣩⣤⣿⣿⣿⣿⣿⣿⣿⣿⡟⢠⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢰⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠐⢊⣷⢿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⢀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠈⠁⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠀⠩⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣄⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⡄⢢⣽⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡟⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⣿⡇⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⢳⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠋⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⠐⢻⣟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣠⢞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣀⠀⠀⠀⢀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢤⡀⢜⢚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣵⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢰⣿⠀⠈⢶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠰⠊⠐⣪⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⢠⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⢸⣶⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⢰⣏⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⣶⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⣻⡿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡬⢀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡘⢿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢳⣿⡿⢑⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⢀⢀⠀⢠⣄⣉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠻⣿⣿⣿⢷⠏⣛⠛⢛⢿⣿⣿⣿⣷⣾⠏⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠌⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣿⣿⠇⣿⣷⣽⣻⣿⡿⢁⣼⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢐⠀⡦⢰⠄⡦⢨⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⣿⣿⣦⣴⡟⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣚⣿⣟⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢿⡇⢸⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⢧⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸⣿⣿⠅⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠻⢿⣿⣿⣿⣿⣿⣿⣿⢿⢿⠫⠿⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢹⡇⢸⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⢸⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠀⠈⠈⠉⠀⠀⠡⡄⠂⠀⠸⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣗⠟⢸⡇⠸⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⡻⣿⡿⢿⣿⢻⢿⢿⡟⣿⢟⡛⣛⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠨⠵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠺⠿⠿⠿⠿⠿⠟⠙⠃⠘⠃⠀⠿⠿⠏⠾⠿⠿⠿⠿⠿⠿⠿⠿⠆⠀⠸⠟⠲⠶⠶⠓⠷⠾⠿⠾⠾⠻⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣄⠠⢐⢀⡀⣀⢀⣀⢀⡀⣀⡀⣔⣄⠀⣤⠀⣀⢀⣀⢠⢢⡂⢠⠠⡄⣀⡀⣀⣀⣀⠀⢠⡄⣄⣀⣠⡀⠀⣄⠄⣀⡀⣀⡀⣀⢠⢀⠀⢠⣂⣀⢀⡀⠀⡄⢐⢀⣀⢀⢀⢀⢀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠋⠁⠘⠘⠀⠃⠘⠘⠈⠃⠃⠃⠃⠃⠀⠂⠚⠐⠘⠛⠘⠘⠀⠘⠐⠃⠃⠃⠋⠓⠙⠀⠘⠘⠛⠒⠛⠀⠀⠒⠃⡇⠃⠋⢡⣩⡭⡑⠀⢸⣬⣴⠙⠀⠀⠃⠘⠘⠘⠘⠘⠐⠑⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣠⢀⣀⢰⣤⣶⣶⡶⠐⠀⣠⣶⣶⣾⣿⣷⣶⣦⣤⡀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡐⣦⣿⣿⣿⣾⣿⣿⡿⠋⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠀⢠⢠⣀⣶⣿⣽⣿⣿⣿⣿⣿⣿⢃⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⢀⡆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠐⢼⣶⣷⣶⣿⣿⣿⣿⣿⣿⣿⡇⢀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠉⠋⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢐⡔⢴⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣾⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⣠⣀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠠⣅⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡇⠀⠀⠀⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠐⢻⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠊⠙⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠛⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢻⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⡠⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢒⣞⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⣾⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣾⡇⡀⠰⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣄⠀⣎⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⣸⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣷⣦⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢈⠛⠑⢇⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠠⠀⠀⠀⠀⠀ ⠀⠀⠐⠃⡈⢀⠨⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠻⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣿⠏⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢄⠀⢀⠀⢠⣄⣙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠘⢿⣿⣿⣿⡾⠛⣛⠛⡻⣿⣿⣿⣿⣾⡿⢃⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⠁⠀⠀⠀⠀⠈⠁⠙⠒⠌⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣶⣿⣿⣿⢸⣷⣮⣿⣿⣿⠟⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢐⠀⡦⢰⠄⡦⢨⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣼⣿⣿⣿⣦⣥⣼⢻⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢟⣴⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢁⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣛⣿⣟⣛⣛⣛⣛⣛⣛⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡘⣿⠀⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣼⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⠟⠻⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠙⠀⠈⠈⠋⠁⠁⡡⡄⠀⠀⠸⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⣿⠀⢻⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣇⢿⣿⣿⣿⣿⢻⢿⢿⡟⡿⢛⡛⣛⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠨⠵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠻⠿⠿⠿⠿⠿⠟⠛⠀⠹⠃⠸⠿⠿⠱⠿⠿⠿⠿⠿⠿⠿⠿⠷⠄⠀⠿⠛⠶⠾⠶⠓⠷⠾⠿⠾⠾⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣄⢠⢠⢀⣀⣀⣀⣀⢀⡀⣀⡀⣄⣄⠀⣤⠤⣀⢀⣀⣠⣠⡀⢠⠤⡄⣀⡀⣀⡀⣀⠀⢠⡀⡄⣀⢠⡀⠀⡤⠄⣀⡀⣀⡀⣀⢠⢀⠀⢠⣀⣀⢀⡀⠀⡄⢠⢀⣀⢀⢀⢀⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠏⠃⠸⠘⠄⠇⠘⠜⠨⠅⠣⠃⠇⠣⠀⠠⠝⠠⠸⠽⠸⠸⠀⠸⠤⠃⠣⠃⠫⠁⠝⠀⠸⠙⠟⠴⠛⠄⠀⠬⠃⡇⠃⠋⢡⣭⡭⡑⠀⢸⣸⣤⠹⠀⠀⠧⠼⠸⠸⠘⠼⠰⠳⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⣰⣶⣴⣦⣴⣶⣶⣖⠔⢀⣤⣶⣶⣶⣾⣷⣶⣶⣤⣄⠀⠀⠐⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⣤⢤⣤⣾⣼⣿⣿⣿⣿⣿⡿⠁⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠡⣴⢤⣾⣿⣿⣿⣿⣿⣿⣿⡟⢠⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⢰⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢎⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⢀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠁⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⡀⠀⠀⢰⢦⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣽⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⡇⣀⣀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠨⠃⢘⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡇⠀⠀⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⢀⡒⢰⡇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠉⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⣾⢿⣶⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣠⢔⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢘⢹⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣵⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢱⣿⢀⠀⢶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣞⠁⢻⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⢰⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣸⣶⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢈⢳⡀⢊⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢣⣶⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⣽⡿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠁⠁⠈⢁⠀⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠘⢿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢱⣿⡿⠁⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⡤⠀⡀⠀⢀⣄⣛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠻⣿⣿⣿⣷⠟⢛⠛⢛⢿⣿⣿⣿⣷⣾⠟⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠀⠉⠒⠌⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣾⣿⣿⠄⣿⣷⣽⡿⣿⡿⢁⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⣿⣿⣦⣤⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣸⣿⣿⣿⣿⣿⣿⡧⣿⣿⣿⣿⣿⣿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣚⣿⣟⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣾⡇⢸⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⢳⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠘⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠟⠻⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢩⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠈⠀⠈⠙⠈⠁⢠⡄⠀⠀⠘⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢸⡇⢸⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⢻⢿⢿⡟⢿⢛⣛⣛⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠨⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠽⠿⠿⠿⠿⠿⠿⠛⠃⠸⠇⠈⠿⠿⠫⠾⠿⠿⠿⠿⠿⠿⠿⠿⠄⠈⠿⠟⠶⠾⠖⠓⠷⠾⠿⠾⠞⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣄⢠⢠⢀⡀⣀⣀⡀⢀⡀⢀⠀⣤⣄⠀⡠⠄⣀⣀⡀⣠⣤⡄⢠⠤⡀⣀⠀⣀⠀⣀⠀⢠⡀⡄⣀⢠⡀⠀⡤⠄⣀⠀⣀⠀⣀⢠⢀⡀⢠⡄⣀⢀⡀⠀⡄⢠⢀⣀⢀⢀⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠏⠃⠸⠸⠤⠃⠸⠼⠨⠆⠧⠇⠇⠧⠀⠬⠕⠠⠴⠽⠸⠸⠀⠸⠤⠃⠧⠇⠭⠭⠴⠀⠸⠱⠟⠤⠻⠄⠀⠭⠇⡧⠃⠭⢥⣭⡭⡩⠀⢸⣜⣬⠹⠀⠀⠧⠼⠸⠸⠸⠼⠸⠣⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡤⠀⢀⣦⣴⣦⣶⣶⣶⡦⠂⣠⣴⣶⣶⣶⣷⣶⣶⣶⣤⡀⠀⠀⠰⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠈⠀⠀⠀⠀⠈⠀⠙⠒⠌⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣶⣶⣾⣿⣿⢀⣿⣦⣽⣿⣿⡿⢁⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢸⣿⣿⣿⣿⣮⣴⢿⣿⣿⣿⣿⣿⣿⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣚⣿⣛⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡣⣿⡃⢸⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣷⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸⣿⣿⠅⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠻⢿⣿⣿⣿⣿⣿⣿⣿⠿⢿⠻⠿⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠀⠈⠁⠈⠓⠀⠁⠠⠤⠀⠀⠸⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⠇⣻⡅⢸⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⠿⣿⡿⣿⣿⢻⢿⢿⡟⣿⢛⣛⣛⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠨⠵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⠿⠿⠿⠿⠿⠟⠙⠂⠘⠇⠘⠿⠟⠱⠿⠿⠿⠿⠿⠿⠿⠿⠷⠆⠀⠿⠟⠶⠶⠖⠓⠷⠾⠿⠾⠾⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣄⢠⢠⠀⡀⡀⡀⡀⢀⡀⢀⠀⣤⣄⠀⡠⠄⣀⠀⡀⣠⣤⡄⢠⠤⡀⢀⠀⢀⠀⣀⠀⢠⡀⡄⣀⢠⡀⠀⡤⠄⣀⠀⢀⠀⣀⢠⠀⡀⢠⡄⣀⢀⡀⠀⡄⢠⢀⡀⢀⢀⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠏⠃⠸⠸⠤⠆⠸⠼⠠⠆⠧⠇⠇⠧⠀⠬⠵⠠⠰⠾⠸⠸⠀⠸⠤⠇⠧⠇⠷⠯⠶⠀⠸⠱⠿⠬⠻⠄⠀⠭⠇⡧⠇⠥⢥⣤⡭⡫⠀⢸⣼⣬⠸⠀⠀⠧⠼⠸⠸⠸⠼⠨⠣⢨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⢠⣆⣴⣶⣶⣶⣶⡢⠂⣠⣶⣶⣶⣾⣷⣶⣶⣶⣤⡀⠀⠀⠲⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣬⣤⣽⣿⣯⣿⣿⣿⣿⠋⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡀⢰⠄⡗⣮⣿⣿⣿⣿⣿⣿⣿⣿⠇⣼⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⣦⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠄⠐⢷⢺⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⡀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠉⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⠀⢰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢠⣄⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠰⣨⡆⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢸⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡴⢺⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠉⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠘⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⠉⠘⢿⣟⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⡠⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⡀⠀⠀⠀⢀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⠘⠸⣼⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⣾⣵⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡋⣰⣿⢀⠀⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠐⠀⠡⣏⣽⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣸⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣷⣿⣿⢸⣦⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠘⠉⣏⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢡⣶⣿⣿⣿⣿⢿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⡿⠟⣼⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢀⡉⠀⠚⢿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠹⣿⣿⣿⣿⡾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣵⣿⡿⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣜⣀⠀⣠⣄⣉⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡈⢿⣿⣿⣿⣿⠝⣛⠛⡛⢿⣿⣿⣿⣷⡿⠋⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠁⠉⠒⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣵⣶⣾⣿⣿⢀⣿⣦⣟⣿⣿⡟⢁⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢐⠀⡦⢰⠄⡦⢨⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢸⣿⣿⣿⣾⣭⣴⢿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⡿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣚⣿⣟⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠱⣿⠁⢸⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣱⢫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠘⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡛⠻⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠈⠀⠀⠈⠉⠀⠃⠠⡄⠀⠀⠨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠇⣿⡄⢸⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣯⠿⣿⠿⣿⣿⢻⢿⢿⡟⣿⢛⡛⣛⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠿⠿⠿⠿⠿⠿⠟⠛⠂⠸⠇⠘⠿⠟⠳⠿⠿⠿⠿⠿⠿⠿⠿⠷⠆⠀⠿⠟⠲⠾⠶⠓⠷⠾⠿⠾⠞⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡄⢀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⡀⠀⡀⠄⠀⠀⠀⢠⢤⠄⢠⠄⡀⠀⠀⠀⠀⠀⠀⢠⡀⡄⠀⢀⠀⠀⡠⡀⠀⠀⠀⠀⠀⢠⠀⠀⢀⠄⠀⠀⠀⠀⡄⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠟⠃⠸⠸⠀⠏⠸⠸⠸⠆⠇⠇⠇⠇⠀⠭⠵⠠⠸⠾⠸⠸⠀⠸⠠⠇⠇⠇⠗⠯⠲⠀⠸⠱⠿⠭⠿⠄⠀⠭⠆⡇⠇⠗⢧⣿⡭⡪⠀⠸⢸⣭⠸⠁⠀⠧⠼⠸⠸⠸⠼⠨⠪⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣤⣤⣤⣶⡠⠂⣠⣶⣶⣶⣶⣷⣶⣶⣶⣤⡀⠀⠀⠰⣶⣶⣶⣶⣶⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣄⣤⣶⣾⣯⣿⣿⣿⣿⠋⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⣉⣠⣿⣷⣿⣿⣿⣿⣿⣿⡇⣴⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⣧⣘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⠀⠰⢼⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⡀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠉⠘⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠂⢰⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢠⣄⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠂⢐⡒⢾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⢸⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣨⡍⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠙⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⣰⣌⢣⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⡠⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠀⣩⣧⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣸⣿⠀⠀⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⠈⢉⣽⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣸⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⢸⣦⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣤⣠⠉⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢡⣶⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⣽⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠈⠈⢀⠐⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠹⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣷⣿⡿⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠠⠘⠊⣀⠀⢠⣄⣙⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡈⢿⣿⣿⣿⣿⠟⣛⠛⣛⢿⣿⣿⣿⣷⣿⠋⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠒⠌⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣴⣴⣾⣿⣿⢀⣿⣦⣽⣿⣿⡿⢁⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢸⣿⣿⣿⣿⣬⣴⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣚⣿⣛⣛⣛⣛⣛⣛⣛⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢡⣿⠃⢹⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣷⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⡛⠻⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⠋⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣮⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠀⠈⠈⠉⠙⠁⠀⢠⠄⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⢻⡅⢸⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⣿⣿⢻⢿⢿⡟⣿⢟⡛⣛⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⡥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠻⠿⠿⠿⠿⠟⠟⠛⠀⠸⠇⠸⠿⠿⠳⠿⠿⠿⠿⠿⠿⠿⠿⠷⠆⠈⠿⠟⠶⠾⠒⠓⠷⠾⠿⠾⠞⠿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⡀⠀⣀⡀⠀⠀⠀⢀⢄⠄⢀⣀⡀⠀⠀⠀⠀⠀⠀⢀⡀⡀⠀⢀⠀⠀⣀⡀⠀⠀⠀⠀⠀⢀⠀⠀⢀⠄⠀⠀⠀⠀⡀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡟⠆⢸⠸⡉⠏⠹⡹⢘⠇⢏⠇⡏⢏⠀⢍⡲⢉⠸⣻⢹⢹⠁⢸⡀⠇⢏⠇⢟⠏⡻⠀⢸⠱⠿⣭⠾⡁⠀⣙⠆⡏⠇⢟⢣⣻⣬⡪⠀⢸⢽⣭⢸⠁⠀⣇⣸⢸⢹⠸⣸⢨⢮⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢠⢀⣤⣠⣤⣤⣤⣤⡤⠂⣠⣴⣶⣶⣶⣷⣶⣶⣤⣤⡀⠀⠀⠐⣶⣶⣶⣶⣶⣷⣶⣶⣶⣶⣶⣶⣴⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣷⣼⣿⣿⣿⣿⣿⠋⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡑⣋⢰⣿⣿⣿⣿⣿⣿⣿⣿⠏⣼⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⣰⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡀⣮⣖⣿⣼⣯⣿⣿⣿⣿⣿⣿⡇⠀⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠉⠙⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡑⣴⣶⣌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⣄⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠒⠦⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⢸⣿⠃⠀⠀⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠂⢨⡍⣹⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠉⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠈⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠘⠀⣼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⡠⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣀⠀⠀⠀⠈⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⡈⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⣾⣷⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⡟⣰⣿⢀⠈⢶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠎⣱⢋⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⣸⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣶⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⢞⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⣶⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⡿⠟⣽⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢬⢁⠘⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠙⢿⣿⣿⣿⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣵⣿⡿⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⣀⠀⢠⣄⣛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡌⢻⣿⣿⡿⢷⠋⣻⠛⣫⢿⣿⣿⣿⣷⡿⠋⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠁⠉⠒⠌⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣿⣿⣿⢀⣿⣷⣽⡻⣿⠟⢡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢸⣿⣿⣿⣷⣦⣴⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣚⣿⣛⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠳⣿⠁⢸⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣷⢏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⠿⠻⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⠁⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠁⠀⠉⠙⠉⠉⢠⡄⠀⠀⠸⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣿⡀⢸⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣷⠿⣿⣿⣿⣿⢻⢿⢿⡟⣿⢟⡛⢛⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠨⠵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠿⠿⠿⠿⠟⠿⠿⠏⠙⠀⠸⠇⠘⠿⠿⠳⠿⠿⠿⠿⠿⠿⠿⠿⠷⠆⠀⠿⠟⠶⠾⠶⠓⠷⠾⠿⠾⠾⠿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⢀⣀⠀⠀⠀⢀⣀⡀⢀⣀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⠀⢀⠀⠀⣀⡀⠀⠀⠀⠀⠀⢀⠀⠀⢀⡀⠀⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡟⠎⢸⢸⣁⡋⢹⡱⢘⡅⣏⡏⡏⣏⠀⣑⡢⢉⣩⣳⢹⢹⠁⢸⣀⠇⣏⡆⣛⡒⣫⠀⢸⢣⡷⣉⢾⡁⠀⣓⡆⣏⠇⣏⣣⣭⣬⣮⠁⢸⢵⣩⢸⠁⠀⣇⣸⢸⢹⢸⣸⢸⢎⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⡤⣤⡄⣤⣤⣤⣤⡠⠀⣠⣤⣴⣶⣾⣿⣶⣦⣤⣤⡀⠀⠀⠠⣤⣤⣤⣤⣤⣥⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠀⣤⣴⣟⣾⣿⣾⣿⣿⣿⠋⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢪⣀⣶⢶⣻⣿⣿⣿⣿⣿⣿⣿⡏⣴⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⣧⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡤⢴⢶⣿⣾⣿⣿⣿⣿⣿⣿⣿⡏⠀⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠉⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠒⡢⢴⡶⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢠⣄⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢲⡷⢴⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⠀⠀⠀⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⠩⣇⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠉⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠐⠀⠂⠘⢫⣟⣻⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⡠⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠐⢼⣃⢘⣹⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢋⣾⣷⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢰⣿⠀⠈⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠄⣤⣯⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⣸⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣸⣶⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠐⠀⠀⠀⠀⠀ ⠀⠀⠐⠉⣿⡙⢿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⣶⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⡿⠟⣼⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⢩⢀⠸⢿⣾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠹⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣵⣿⡿⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠀⠀⢀⠀⠠⣄⣙⠛⢿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣷⡈⢿⣿⣿⡿⠷⠙⣛⠛⡻⢿⣿⣿⣿⣽⡿⠋⣀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠌⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣾⣿⣿⢠⣿⣶⣽⣿⣿⠟⢡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣸⣿⣿⣿⣿⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣚⣿⣟⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠰⣿⠁⢹⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⢰⢏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠘⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⠫⠻⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠈⠉⠁⠉⠑⠁⠀⠡⠔⠁⠀⠸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⠇⣿⠀⢸⣿⣿⣿⢷⣿⣿⣿⣿⣿⣿⡧⢿⣿⣿⣿⣿⢻⢿⢿⡟⡿⢛⡛⢛⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠨⠵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⠫⠽⠿⠿⠿⠿⠿⠛⠙⠀⠻⠃⠸⠿⠻⠫⠿⠿⠿⠿⠿⠿⠿⠿⠷⠄⠀⠿⠛⠶⠾⠒⠓⠳⠾⠿⠾⠾⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⢀⡀⠀⠀⠀⢀⣀⡀⢀⣀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⠀⢀⠀⠀⣀⡀⠀⠀⠀⠀⠀⢀⠀⠀⢀⡀⠀⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡟⠎⢸⢰⣁⡏⢰⣱⢈⡅⣎⡆⡏⣏⠀⣑⣢⢉⣨⣱⢹⢹⠁⢸⣀⡇⣎⡆⣊⣒⣩⠀⢸⢣⡷⣉⢾⡁⠀⣓⡆⣏⠆⣉⣢⣭⣬⣌⠁⢸⠱⣭⢸⠁⠀⣇⣸⢸⢱⢸⣸⢘⢎⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠀⢠⣤⣤⣤⣤⣤⣤⠤⠄⣠⣤⣶⣶⣿⣿⣶⣦⣤⣤⡀⠀⠀⢠⣤⣤⣤⣤⣤⣥⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣯⣅⣶⣷⣿⣿⣿⣿⣿⠏⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠠⢀⡠⣤⣬⣿⣿⣿⣿⣿⣿⣿⣿⠏⣰⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⣧⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡄⢀⡠⣴⣤⣿⣾⣿⣿⣿⣿⣿⣿⣿⡏⠀⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠉⠈⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢈⠁⠬⠷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢀⣄⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡱⠢⡇⢚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢸⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠃⠈⠠⣞⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠈⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⠒⠈⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⡠⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠤⣀⣄⣸⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⣾⣷⣽⣿⣿⣿⣯⣭⣭⣿⣿⣿⣿⡏⣰⣿⠀⠐⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢈⡛⣑⣻⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⣸⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⢸⣴⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠍⠻⣿⡙⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢡⣶⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⡿⠛⣼⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡩⢀⠀⢹⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠙⢿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣴⣿⡟⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠠⠀⣀⠀⢠⣄⣛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡈⢻⣿⣿⡿⠿⢋⣛⠛⡻⢿⣿⣿⣿⣿⡿⢋⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠀⠀⠀⠀⠀⠈⠉⠉⠒⠌⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣾⣿⣿⢰⣿⣶⣽⣿⣿⠟⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣸⣿⣿⣿⣷⣦⣾⡟⣿⣿⣿⣿⣿⣿⣏⣾⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣛⣿⣟⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠰⣿⠀⣹⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣸⢫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⠿⢻⠛⠻⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⠀⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣏⣣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠁⠁⠈⠉⠙⠉⠀⠥⡤⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠇⣿⠀⢹⣿⣿⣿⢯⣿⣿⣿⣿⣿⣿⣯⠿⣿⣿⣿⣿⢻⢿⢿⡟⣿⢛⣛⣛⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠨⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠏⠻⠿⠿⠿⠿⠿⠛⠙⠀⠻⠇⠸⠿⠻⠱⠿⠿⠿⠿⠿⠿⠿⠿⠿⠄⠀⠿⠛⠶⠾⠖⠓⠿⠾⠿⠾⠾⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⢀⡀⠀⠀⠀⢀⣀⡀⢀⣀⠀⠀⠀⠀⠀⠀⠄⢠⠄⡤⠀⠤⠠⠤⣤⠤⠠⠤⠤⠤⠤⢤⠤⠀⢤⡠⠤⠤⠤⠠⡄⢤⠄⠤⠀⠠⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡷⠎⢰⢰⣀⡖⢰⣰⢠⡄⣆⡆⡇⣏⠀⣑⣢⢉⢰⣵⢸⢸⠁⢸⣀⡇⣆⡆⣦⣖⣤⠀⢸⢣⣷⣛⣾⡁⠀⣓⡄⡏⡆⣎⣦⣭⣬⣔⠀⢸⣵⣵⢸⠀⠀⣇⣸⢸⢱⢸⣸⢐⢞⢨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⣀⣠⣤⣤⣤⣤⡠⠀⣠⣤⣴⣶⣾⣿⣶⣦⣤⣤⡀⠀⠀⠠⣤⣤⣤⣤⣤⣧⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢀⣧⣠⣾⣼⣿⣿⣿⣿⣿⠋⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠁⣘⠈⢦⣤⣿⣿⣿⣿⣿⣿⣿⣿⡇⣼⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⣧⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠀⠀⠀⠀⢴⡰⣹⡖⢿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⡀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠉⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢩⠱⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣾⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢠⣤⠄⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡆⢜⡳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⡘⢀⡍⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠉⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠈⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⡠⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣀⠀⠀⠀⢀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠨⢿⣫⣝⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⣾⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢰⣿⠀⠈⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠠⠢⠉⢛⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⣸⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣸⣴⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠰⡠⣃⡙⢏⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢡⣶⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⣼⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠁⠨⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠹⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣱⣿⡿⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⡀⠀⠠⣄⣉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡈⢿⣿⣿⣿⠷⠟⣛⠛⣻⢿⣿⣿⣿⣶⡿⠋⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠒⠌⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣶⣾⣿⣿⢠⣿⣦⣝⣿⣿⡟⢡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣸⣿⣿⣿⣿⣬⣴⡟⣿⣿⣿⣿⣿⣿⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣚⣿⣟⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢡⣿⠁⢹⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣰⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠻⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣣⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠈⠈⠈⠉⠛⠁⠁⢠⠤⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠟⣻⡄⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠿⣿⣿⣿⣿⢻⢿⢿⡟⣿⢛⡛⣛⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠨⠵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⠻⠿⠿⠿⠿⠿⠛⠙⠀⠙⠃⠘⠿⠿⠋⠾⠿⠿⠿⠿⠿⠿⠻⠷⠆⠀⠿⠟⠲⠾⠖⠓⠿⠾⠿⠾⠾⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠄⠤⢀⡀⡀⠤⠤⠄⠀⠀⠀⠠⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⢤⠤⠤⠤⡤⠤⠤⠤⠤⠤⢤⠤⠤⠤⠤⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡷⠌⢰⢰⠂⡖⢰⢲⠰⡆⡖⡆⡗⡗⠀⡛⣠⢒⢰⣶⢸⢸⠂⢸⢈⡇⡖⡆⡶⣖⢶⠀⢸⢣⣷⣒⣼⠂⠀⡓⡅⡆⡆⡦⣦⣤⣬⢔⠀⢸⣠⣴⢰⠂⠀⡇⢰⢰⢲⢰⢰⢐⢔⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⡀⡀⣀⣀⣀⣀⣀⣀⡀⠀⣠⣤⣶⣶⣿⣿⣾⣤⣤⣄⡀⠀⠀⢠⣤⣤⣤⣤⣤⣧⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⣤⣀⣄⣀⣄⣠⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢦⣴⣤⣯⣴⣷⣼⣿⣿⡿⠁⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠤⣶⢿⣿⣿⣿⣿⣿⣿⣿⡿⢁⣎⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⣇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠠⣬⢬⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠉⠈⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⡼⡲⢾⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⢸⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢀⣄⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⢀⠄⢺⡄⢆⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢸⣿⠀⠀⠀⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠄⠀⠀⢸⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠉⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⠁⠰⣌⢨⣽⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⡠⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢃⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⢠⠴⢮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢫⣾⣶⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⣼⣷⡀⠐⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢈⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣼⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣏⣻⣦⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⢠⢰⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣾⣿⣿⣿⣷⣿⣿⣿⣿⣿⣟⣿⣾⣿⣿⣿⡿⢛⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠛⠀⠈⢀⠰⢿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡌⠻⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣶⣿⡟⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢄⠀⠀⣠⣄⣙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠘⢿⣿⣿⣿⡾⠛⣛⠛⡻⣿⣿⣿⣿⣼⡿⢋⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠁⠉⠒⠌⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣯⣤⣴⣿⣿⡿⢸⣿⣮⣿⢿⣿⠟⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣼⣿⣿⣿⣶⣥⣼⣯⣿⣿⣿⣿⣿⣿⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣛⣿⣛⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠻⢿⣿⣿⣿⣿⣿⣿⣿⠿⢿⠋⠻⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣫⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠀⠈⠀⠉⠉⠉⠀⠠⡤⠀⠀⠘⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⠇⣿⠀⢻⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣷⢿⣿⡿⣿⣿⢻⢿⢿⡟⣿⢟⡛⢟⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠨⠵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠻⠿⠿⠿⠿⠟⠋⠛⠀⠻⠀⠘⠿⠿⠏⠾⠿⠿⠿⠿⠿⠿⠿⠷⠄⠀⠿⠟⠲⠾⠗⠓⠳⠾⠿⠾⠾⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠤⠤⠤⠤⠀⠀⠀⠀⠠⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡷⡜⢸⢰⠒⡖⢲⢲⠰⠂⡖⡆⡟⡗⠀⠪⢭⠓⢲⢶⢺⢻⠃⢸⠉⡇⡖⡆⡶⠤⢖⠀⢸⢆⣧⠒⣼⠂⠀⠯⡅⡖⡄⠖⢤⣶⣬⣔⡄⢸⣧⣶⢰⠒⠀⡇⢸⢰⢲⢰⢰⢐⡔⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠀⠈⠈⠉⠁⠈⠁⠈⠁⢈⠁⣁⣉⣀⣉⣁⣈⣉⡉⠈⢈⣠⣾⣿⣿⣿⣿⣿⣧⣍⣀⠈⠈⠁⢉⣀⣁⣀⣉⣁⣋⣀⣈⣀⣁⣀⣀⣀⣈⣀⣉⣈⣀⣀⣉⣉⣈⣈⣈⣉⣈⣈⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⢽⣤⣿⣽⣿⣿⣿⣿⡟⠁⢴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⢠⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣤⢔⣿⣾⣿⣿⣿⣿⣿⡿⢡⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢀⡆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠨⣵⣾⣆⣿⡿⣿⣿⣿⣿⣿⣿⣿⠃⢀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠉⠈⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⠀⠂⢾⡷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡇⢠⣄⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠐⠲⡂⢿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡟⠀⠀⠀⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢜⠂⠘⢚⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠁⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠈⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⢆⠝⢻⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⡤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⡀⠀⠀⠀⠀⠈⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠡⡴⢟⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢫⣿⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣾⡧⡀⠰⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠂⠱⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣷⣦⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀ ⠀⠀⢠⣠⣏⡙⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣴⣾⣿⣿⣿⣇⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⠿⢻⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⠨⢀⠐⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡌⢻⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢏⣾⣿⠏⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠲⣈⣀⠈⠠⣄⣛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠙⣿⣿⣿⡿⡾⢛⡛⠛⡻⣿⣿⣿⣿⣾⡟⢁⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠁⠉⠐⠌⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣴⣶⣿⣿⡇⢸⣷⣮⣿⣿⣿⠏⣰⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣿⣿⣿⣿⣧⣥⣾⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣚⣿⣛⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢸⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢸⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⠻⠿⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠉⠁⠈⠉⠉⠉⠈⣠⡤⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡸⠏⣿⠀⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣟⢿⣿⣿⣿⣿⢻⢿⢿⡟⣿⢟⡛⢛⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠨⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠛⠿⠿⠿⠟⠿⠟⠛⠛⠀⠻⠀⠹⠿⠟⠱⠿⠿⠿⠿⠿⠿⠿⠿⠷⠀⠀⠿⠟⠢⠾⠷⠓⠳⠾⠿⠾⠾⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠤⠤⠠⠤⠤⠤⠄⠠⠀⠀⠠⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡷⡜⢸⢠⠂⡖⢢⢢⠐⡂⡔⡄⡟⡗⠀⠪⢅⠒⢒⢢⢺⢻⠃⢸⠉⡆⡖⡄⠖⠤⢒⠀⢸⢆⣧⠒⣼⠂⠀⠯⡅⡖⡄⠔⢤⣲⣬⣤⡄⢸⣧⣶⢰⠂⠀⡇⢸⢰⢲⢰⢰⢰⡔⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠀⠈⠈⠉⠁⠈⠉⠈⠁⠉⠁⣁⣉⣀⡉⣁⣈⣉⣉⠈⢈⣀⣾⣿⣿⣿⣷⣿⣭⣍⣀⠈⠈⠁⢉⣈⣁⣈⣉⣁⣋⣀⣉⣁⣉⣀⣀⣀⣈⣀⣉⣈⣀⣀⣉⣉⣈⣈⣈⣉⣈⣈⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⣤⣷⣾⣿⣿⣿⣿⡿⠃⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⢠⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡠⠄⢰⡀⢁⢠⣿⣿⣿⣿⣿⣿⣿⣿⠃⣄⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠠⠂⢠⠠⣬⠶⣿⣾⣿⣿⣿⣿⣿⣿⣿⡇⢀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠉⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠑⢀⡀⢀⠐⢾⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣰⣤⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣷⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡟⠀⠀⠀⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⠀⡈⢹⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠈⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⢂⣄⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⡠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⡀⠀⡀⠀⢀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢈⡁⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢫⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⣼⡷⡀⠐⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢈⣽⠾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣼⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢾⣶⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠠⠺⣑⣊⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣾⣿⣿⣿⣷⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿⣿⠟⣻⣿⡏⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⣀⠨⠀⠸⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠹⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣾⣿⠏⢳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠀⠀⠀⢠⣄⣛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡘⢿⣿⣿⠿⡟⣉⡍⢉⡝⢿⣿⣿⣿⣾⠟⢁⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠀⠙⠐⠌⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣾⣿⣿⡿⢸⣿⣶⣿⣿⡿⠋⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣿⣿⣿⣿⣷⣶⣾⣽⣿⣿⣿⣿⣿⣿⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣚⣿⣛⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⢫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢸⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠻⢿⣿⣿⣿⣿⣿⣿⣿⠿⢻⠟⠻⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣾⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠈⠀⠈⠈⠓⠈⠁⠠⡄⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣙⠹⣿⠀⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣯⢿⣿⣿⣿⣿⢻⢿⢿⡟⣿⢟⡛⣛⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠨⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⠿⠿⠿⠿⠟⠉⠓⠀⠻⠀⠻⠿⠛⠹⠿⠿⠿⠿⠿⠻⠻⠿⠷⠄⠀⠿⠟⠲⠾⠷⠓⠳⠾⠿⠾⠾⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠤⠤⠤⠠⠤⠀⠀⠀⠀⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣷⡘⢸⢠⠂⡄⢠⢢⢐⡂⡔⡄⡟⡖⠀⠪⢅⠒⢀⣢⢺⢻⠃⢸⠉⡆⡔⡄⣔⡤⣒⠀⢸⢆⣧⠲⣼⠂⠀⠯⡁⡆⡄⢄⢤⣠⣬⡠⡄⢸⢡⣤⢰⠂⠀⡇⢸⢰⢢⢰⢰⠰⡔⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠀⠈⠈⠉⠁⠈⠉⠈⠁⢉⠁⣁⣉⣀⣉⣉⣈⣈⣉⡈⠈⣀⣬⣿⣷⣿⣷⣿⣭⣍⣀⡈⠈⠁⠉⣈⣁⣈⣉⣁⣋⣁⣉⣁⣉⣀⣈⣀⣈⣀⣉⣈⣀⣀⣉⣉⣈⣈⣈⣉⣈⣈⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⣨⣬⣷⣺⣷⣾⣿⣿⣿⠋⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣆⡲⢤⣿⣿⣿⣿⣿⣿⣿⣿⠃⣾⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⣧⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⢸⡇⣵⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⡀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠉⠈⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⠀⠭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢀⣄⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠄⠐⠁⢴⣻⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⠆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⠀⠀⠀⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠰⠄⠀⠜⢺⣖⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠉⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠈⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡴⢖⢛⣿⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⡤⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠃⠛⣛⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢫⣾⣶⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣸⣿⠀⠀⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠂⣬⣩⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣼⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣶⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠰⠀⣋⡙⢻⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡿⢛⣼⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠀⠌⠁⠚⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠙⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣼⣿⡟⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠨⠄⢀⠀⣠⣄⣙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡈⢿⣿⣿⡿⠿⢉⣝⠋⡩⢿⣿⣿⣿⣾⡿⢋⣔⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠒⠈⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⢸⣿⣦⣟⣿⣿⠟⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣼⣿⣿⣿⣷⣦⣾⣿⣿⣿⣿⣿⣿⣿⣏⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣛⣿⣛⣛⣛⣛⣛⣛⣚⣙⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⢫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣟⠻⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠈⠈⠉⠉⠉⠁⠁⠠⠄⠁⠀⢰⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠛⣿⠀⢿⣿⣿⣿⢷⣿⣿⣿⣿⣿⣿⣟⠿⣿⣿⣿⣿⢻⢿⢿⡟⣿⢛⡛⣛⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠨⠥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠿⠿⠿⠿⠿⠋⠉⠙⠀⠻⠂⠸⠿⠻⠣⠿⠿⠿⠿⠿⠻⠿⠿⠷⠈⠀⠿⠟⠶⠾⠶⠓⠷⠾⠿⠾⠾⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠤⠄⠤⠤⠤⠤⠀⠀⠀⠀⠀⠤⠤⣤⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⢤⣤⣤⣤⡤⣤⠤⠤⡤⠤⠤⠤⠤⠤⠤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠂⠀⠉⠀⠐⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠘⢿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣹⣿⡟⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⢄⢑⡀⠀⠠⣄⣙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠻⣿⣿⡿⢷⢋⣙⠛⡩⢿⣿⣿⣿⣾⡿⠋⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠁⠀⠀⠀⠀⠈⠉⠉⠐⠌⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣿⣿⣿⢠⣿⣷⣿⣿⣿⠟⣀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣸⣿⣿⣿⣿⣦⣾⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣿⣿⣿⣿⣿⣿⣿⣺⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣚⣿⣟⣛⣛⣛⣛⣛⣛⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡰⣿⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢸⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡻⠻⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠐⠉⠈⠙⠃⠉⠁⠡⠤⠁⠀⠸⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠃⣿⠀⢻⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣧⠿⣿⣿⣿⣿⢻⢿⢿⡟⡿⢟⡛⢛⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠨⠵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠻⠿⠿⠿⠿⠿⠗⠙⠀⠙⠃⠸⠿⠟⠽⠿⠿⠿⠿⠿⠿⠿⠿⠗⠄⠀⠿⠟⠶⠾⠶⠓⠳⠾⠿⠾⠺⠿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⣀⣤⣤⣤⠤⠤⠤⠀⠀⠤⠤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣦⡰⢰⢠⠤⡤⢤⢤⢠⠄⡤⡄⡶⡦⠀⢔⣒⠤⢤⣤⢴⢶⠆⢰⠒⡆⡤⡄⣤⡄⡤⠀⢰⡄⣆⠤⣰⠄⠀⣖⡂⡤⡀⣤⣤⣤⣤⡠⡄⣰⢄⡤⢠⠤⠀⡆⢰⢠⢤⢠⢠⠠⡠⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⠁⠘⠈⠂⠂⠈⠊⠐⠂⠑⠁⠃⠓⠀⠐⠊⠐⠚⠚⠘⠘⣠⣼⣶⣷⣿⣷⣷⣶⣞⠀⠘⠈⠋⠒⠉⠂⠀⠒⠃⠗⠁⠒⠂⠒⠒⠈⠂⠘⠈⠒⠘⠀⠀⠓⠚⠘⠘⠘⠚⠘⠑⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠌⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⢸⣿⣷⣿⡿⣿⠏⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣼⣿⣿⣿⣿⣶⣾⢿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣿⣿⣿⣿⣿⣿⣿⢾⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣛⣿⣟⣛⣛⣛⣛⣛⣛⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡰⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠟⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⢟⠻⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠀⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⡯⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠀⠁⠉⠉⠉⠉⠠⡤⠀⠀⠸⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠃⣿⠀⢿⣿⣿⡿⣹⣿⣿⣿⣿⣿⣿⣇⢿⣿⣿⣿⣿⢻⢿⢿⡟⣿⢛⡛⢛⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠨⡡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠙⠛⠛⠟⠿⠿⠿⠯⠋⠙⠀⠛⠂⠸⠟⠛⠿⠿⠿⠿⠿⠿⠿⠿⠿⠷⠄⠀⠿⠟⠶⠾⠗⠓⠳⠾⠿⠾⠾⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢄⣠⣤⣤⣤⣤⠤⠤⠀⠀⠀⠠⠤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣦⡰⢰⢠⠄⡤⢤⢄⢠⠄⡤⡤⡶⡦⠀⢔⡒⠤⠤⣄⢴⢶⠆⢰⠒⡄⡤⡀⣤⣀⡤⠀⢰⡄⣆⠤⣰⠄⠠⣖⡂⡤⡀⣤⣠⣤⣤⡠⡄⢠⢆⣤⢠⠤⠀⡆⢰⢠⢤⢠⢠⢠⡠⢨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⠁⠘⠘⠒⠃⠘⠚⠐⠃⠓⠃⠃⠓⠀⠒⠊⠐⠚⠚⠘⠘⢀⣼⣶⣷⣿⣿⣷⣶⣾⡀⠘⠘⠋⠒⠙⠂⠀⠒⠃⠗⠃⠒⠂⠒⠒⠐⠂⠘⠈⠒⠘⠀⠀⠓⠚⠘⠘⠘⠚⠘⠑⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⣄⡠⠼⣼⣷⣬⣿⣿⣿⣿⣿⠋⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣄⣢⣠⣾⣿⣿⣿⣿⣿⣿⣿⠇⣼⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠀⢀⠀⢾⡦⣷⣾⣿⣿⣿⣿⣿⣿⣿⣏⠀⡄⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠉⠈⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠄⠉⠲⢾⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣤⠄⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠤⢆⢸⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⠀⠀⠀⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠊⠘⣓⢹⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠈⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠊⡙⢿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⡤⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⡀⠀⠀⠀⢀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣼⣿⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⣾⣶⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⣸⣿⡀⠘⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣸⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣼⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣶⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣈⣓⣟⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢛⣿⡟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠁⠉⢀⠘⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠹⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣾⣿⠟⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠠⢌⣁⠀⢠⣄⣙⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡈⢿⣿⣿⡿⠿⢉⣙⠋⡹⢿⣿⣿⣿⣿⡿⢃⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠁⠀⠀⠀⠀⠀⠀⠉⠒⠌⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⡿⢸⣿⣦⣽⣿⣿⠏⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢐⠀⡦⢰⠄⡦⢨⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣼⣿⣿⣿⣷⣤⣾⢻⣿⣿⣿⣿⣿⣿⣏⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣚⣿⣟⣛⣛⣛⣛⣛⣛⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⠀⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣸⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⡛⠿⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⠀⠉⠈⠛⠉⠁⠠⡄⠁⠀⠸⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠃⣿⠀⢿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣷⢿⣿⢿⣿⣿⢻⢿⢿⡟⣿⢛⡛⢛⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠨⠵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠙⠻⠿⠿⠿⠿⠿⠟⠙⠀⠻⠀⠸⠿⠟⠽⠿⠿⠿⠿⠿⠿⠿⠿⠷⠄⠀⠿⠛⠶⠾⠖⠓⠳⠾⠿⠾⠞⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⣠⣤⣤⣤⣤⣤⠤⠤⠤⠤⠤⠤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣦⡰⢰⢀⠄⡤⢄⢄⠠⠄⡠⡀⡶⡦⠀⢔⡂⠤⠠⢄⢴⢶⠆⢰⠒⡄⡠⡀⡠⣀⠤⠀⢰⡄⣆⠤⣰⠄⠠⣖⡂⡤⡀⠀⣠⣤⣤⣠⡄⢠⣦⣤⢠⠄⠀⡆⢰⢠⢄⢠⢠⢠⡠⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⠁⠘⠘⠒⠃⠘⠚⠐⠃⠓⠃⠃⠓⠀⠒⠚⠑⠚⠚⠘⠘⠀⣸⣶⣷⣿⣿⣿⣷⣾⣀⠘⠘⠋⠒⠙⠂⠐⠒⠃⠗⠃⠒⠂⠒⠒⠑⠀⠘⠘⠒⠘⠀⠀⠓⠚⠘⠘⠘⠚⠐⠑⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢄⣀⠀⠂⠠⣨⣤⣿⣾⣿⣿⣿⣿⣿⠟⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠀⢨⠁⣟⣤⣿⣿⣿⣿⣿⣿⣿⣿⡿⣰⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⢠⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡒⣾⡶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⣀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠈⠁⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠢⢔⡡⢀⠠⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣄⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⢤⡦⢾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡏⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣿⠇⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠋⢻⣶⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠉⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠐⠾⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⡠⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠐⠀⡀⢞⣬⡝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⣾⣶⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢰⣿⠀⠈⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣼⢿⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⣸⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⢸⣶⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠉⣩⣿⡙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⣾⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⣽⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⠈⠀⠐⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠙⢿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣵⣿⡿⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢊⣄⠀⠠⣄⣙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡌⢻⣿⣿⡿⢷⠋⣛⠛⡫⢿⣿⣿⣿⣶⡿⠋⣀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠈⠉⠒⠌⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣿⣿⢠⣿⣶⣝⣿⣿⠟⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣸⣿⣿⣿⣿⣦⣼⣯⣿⣿⣿⣿⣿⣿⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢟⣴⣿⣿⣷⣮⣟⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣛⣿⣟⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⣿⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⢫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠻⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣫⠻⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠈⠈⠉⠙⠑⠁⠁⢠⡤⠀⠀⠸⠯⣿⣿⣿⣿⣿⣿⣿⣿⡿⣗⠟⣿⠀⢹⣿⣿⣿⢷⣿⣿⣿⣿⣿⣿⣇⠿⣿⡿⣿⣿⢻⢿⢿⡟⣿⢟⣛⣛⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠨⠵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠻⠿⠿⠿⠿⠿⠟⠙⠂⠙⠂⠘⠿⠛⠱⠿⠿⠿⠿⠿⠿⠿⠿⠷⠆⠀⠿⠟⠶⠾⠖⠓⠿⠾⠿⠾⠞⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣠⣤⣤⣤⡤⠤⠤⠄⠠⠤⠤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣆⡰⢐⢀⠀⣀⢀⢀⠀⠀⡀⡀⡖⡄⠀⢔⡂⡤⢀⢀⢰⢲⠂⢰⠂⡄⡀⡀⡀⣀⠀⠀⢰⡍⣏⣍⣩⠍⠉⣟⠋⡉⡉⡉⣩⣭⣭⣉⡍⢡⣫⣭⢩⡁⠀⡆⢐⢈⢌⢀⢠⢀⣠⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠋⠁⠘⠘⠒⠃⠘⠚⠘⠃⠓⠃⠃⠓⠀⠒⠚⠐⠘⠛⠘⠘⢀⣼⣶⣷⣿⣿⣿⣷⣿⡄⠘⠘⠋⠒⠛⠂⠐⠒⠃⡗⠃⠓⠒⠓⠒⠑⠀⠘⠘⠒⠘⠀⠀⠓⠚⠘⠘⠘⠚⠐⠑⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢠⣦⣴⣶⣾⣷⣶⣿⣿⣿⠟⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠤⣫⣮⣿⣿⣿⣿⣿⣿⣿⣿⠏⣰⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣦⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠀⢐⡒⡚⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠉⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢈⠡⢤⡮⣽⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣤⡄⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⠐⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡇⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⠁⠀⠀⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠰⠂⠐⢯⠟⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠈⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⡠⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠠⠆⠉⣝⢺⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⣾⣷⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢸⣿⢀⠈⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡀⢐⣸⣹⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⣸⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⢸⣶⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢉⣁⣏⡉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢡⣶⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⡿⢛⣽⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⡉⢀⠰⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠙⢿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣿⡟⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⠀⢀⣄⣙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣌⢻⣿⣿⡿⢷⢋⣙⠛⣫⢿⣿⣿⣿⣽⡿⠋⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠁⠉⠒⠌⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣿⣿⣿⢠⣿⣶⣽⡿⣿⠟⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣸⣿⣿⣿⣿⣦⣾⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣶⣿⣿⣷⣮⣟⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣚⣿⣟⣛⣛⣛⣛⣛⣚⣙⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠰⣿⠀⣽⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣼⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢸⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⠯⠻⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠀⠀⠈⠁⠉⠀⠩⡄⠀⠀⠸⠫⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⠇⣿⡀⢻⣿⣿⡿⣹⣿⣿⣿⣿⣿⣿⣇⢿⣿⣿⣿⣿⢻⢿⢿⡟⣿⢛⡛⣛⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠻⠟⠿⠿⠿⠻⠝⠛⠀⠙⠃⠸⠿⠟⠵⠿⠿⠿⠿⠿⠿⠿⠿⠷⠆⠁⠿⠛⠶⠾⠖⠓⠿⠾⠿⠾⠾⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠀⠠⣄⣀⣤⣤⣤⣤⣤⠤⠤⠤⠤⠤⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣄⢠⢠⢀⣀⣀⣀⣀⢀⡀⣀⡀⣄⣄⠀⣠⠤⣄⣉⣈⣩⣩⡉⢩⠤⡄⣀⡀⣀⡀⣀⠀⢩⡉⡍⣉⢩⡉⠉⡭⠍⣉⡉⣉⣩⣩⣭⣉⡍⢩⣍⣭⢉⡉⠉⡍⢩⢉⣉⢉⢉⢉⢉⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠏⠃⠸⠘⠄⠇⠘⠜⠨⠅⠣⠃⠇⠣⠀⠠⠝⠠⠸⠽⠸⠸⢀⣼⣴⣷⣿⣿⣿⣿⣵⡀⠸⠐⠟⠴⠛⠄⠀⠬⠃⡧⠃⠯⠗⠽⠶⠑⠄⠸⠘⠴⠸⠀⠀⠧⠼⠸⠸⠸⠼⠰⠣⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠄⣄⣤⣤⣦⣶⣶⣶⣶⣶⣶⠖⠀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡆⠀⠀⣰⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⠀⠀⢈⡤⣞⣠⣿⣿⣿⣿⣿⣿⣿⣿⠏⣰⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⣠⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣰⠤⣾⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⣀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠉⠁⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠠⠀⠀⠀⢀⡐⠘⠳⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣄⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠍⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⠃⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠠⠀⢶⣸⡶⠿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠈⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠈⠉⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢒⠔⢛⡞⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⡠⣚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠰⠲⢘⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⣾⣷⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⣰⣿⢀⠈⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡒⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢀⣀⣊⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⢸⣶⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠨⣸⣏⡘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢡⣶⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⡿⠛⣾⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢀⠀⠀⠀⠀⠀ ⠀⠀⠈⢀⠨⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡙⢿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣶⣿⡟⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠀⢀⠀⢠⣄⣙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⢻⣿⣿⡿⠿⢋⣹⠋⡩⢿⣿⣿⣿⣼⡿⢋⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣿⣿⣿⢠⣿⣷⣽⡿⣿⠟⣠⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣸⣿⣿⣿⣷⣦⣾⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣚⣿⣟⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠠⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢸⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⢫⠻⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣥⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠈⠈⠉⠉⠙⠉⠉⠡⠤⠀⠀⠘⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣛⠏⢿⡀⢹⣿⣿⣿⢧⣿⣿⣿⣿⣿⣿⣧⠻⣿⣿⣿⣿⢻⢿⢿⡟⣿⢛⣛⣛⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠨⠥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠻⠿⠿⠿⠿⠿⠟⠙⠀⠸⠇⠘⠿⠿⠳⠿⠿⠿⠿⠿⠿⠿⠻⠿⠆⠀⠿⠛⠶⠾⠶⠓⠿⠾⠿⠾⠾⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⡀⠀⠀⣀⣀⣤⣤⣤⡤⠤⠤⠀⠀⠠⠤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣄⢠⢠⢀⣀⣀⣀⣀⢀⡀⣀⣀⣤⣄⠀⡠⠤⣀⣈⡉⣩⣭⡍⢩⠤⡄⣀⡀⣀⡀⣀⠀⢨⡉⡍⣉⢩⡉⢉⡭⠍⣉⠉⣉⢩⣩⣭⣉⡍⢩⣭⣭⢉⣉⠉⡍⢩⢉⣉⢉⢉⢉⢉⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠏⠃⠸⠸⠄⠇⠸⠜⠨⠆⠣⠇⠇⠧⠀⠬⠝⠢⠼⠽⠸⠸⢀⣼⣶⣿⣿⣿⣿⣿⣵⡀⠸⠱⠟⠤⠛⠄⠀⠭⠇⡧⠇⠯⠕⠬⠶⠳⠄⠸⠘⠴⠺⠀⠀⠧⠼⠸⠸⠸⠼⠰⠣⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⢠⣀⣤⣤⣠⣶⣶⣶⣶⣶⠂⠀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡆⠀⠀⣲⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠶⠯⢤⣻⣿⣿⣿⣿⣿⣿⣿⠇⡼⠼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣦⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠐⣸⡇⣾⣿⣿⣿⣿⣿⣿⣿⣿⡏⣀⣆⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠉⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡶⢀⡧⢼⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣤⡄⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠀⣀⠱⡗⢮⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠢⠈⢺⡟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡜⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⡤⣚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⡄⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀ ⠀⢀⣤⣀⣟⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⣾⣾⡼⣿⣿⣿⣾⣿⣿⣿⣿⣿⡿⡃⣼⣿⠀⠈⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠨⠉⢙⠾⣿⣏⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣸⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣸⣷⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠎⡈⢳⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠰⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣋⣾⠟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡭⢀⠐⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡘⢿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⢀⠀⢁⠀⢠⢄⣙⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⡻⣿⠿⠿⢟⣋⣭⠉⣹⢿⣿⣿⣿⣿⠟⢁⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⢸⣿⣷⣿⣿⡿⠋⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣼⣿⣿⣿⣿⣶⣾⢽⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣿⡿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣚⣿⣟⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡘⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡼⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢸⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠻⠻⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡇⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠈⠁⠀⠉⠉⠉⠁⠡⠤⠀⠀⠨⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣘⠃⣿⠀⢻⣿⣿⡿⣼⣿⣿⣿⣿⣿⣿⣷⠿⢿⣿⣿⣿⢻⢿⢿⠟⣿⣛⣛⣛⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⠿⠿⠿⠿⠿⠿⠙⠂⠸⠃⠸⠿⠛⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠂⠀⠟⠛⠶⠞⠷⠳⠿⠾⠿⠾⠾⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢀⠠⣤⣤⣤⣤⡤⠤⠤⠤⠤⠤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣄⢠⢠⠀⡀⣀⡀⡀⢀⡀⢀⠀⣤⣄⠀⡠⠄⣀⣈⡈⣩⣭⡍⢩⠥⡀⣀⠀⣀⠀⣀⠀⢩⡉⡍⣉⢩⡉⠉⡭⠍⣉⠉⢉⢩⣩⣭⣉⡍⢩⣭⣭⢉⡉⠉⡍⢩⢉⣉⢉⢉⢉⢉⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠏⠃⠸⠸⠤⠇⠸⠼⠠⠆⠧⠇⠇⠧⠀⠬⠕⠡⠴⠼⠸⠸⠀⣸⣴⣷⣷⣿⣿⣿⣴⢄⠸⠱⠟⠤⠻⠄⠠⠭⠇⡧⠇⠦⠕⠦⠶⠲⠄⠸⠸⠤⠺⠀⠀⠧⠼⠸⠸⠸⠼⠸⠣⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠌⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⠇⣿⣷⣿⣿⣿⠟⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢠⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣚⣿⣛⣛⣛⣛⣛⣛⣚⣙⣻⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⢻⠟⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢹⡇⢸⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠘⠁⠈⠙⠉⠁⠁⠠⠴⠀⠀⠘⠽⢿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡛⢸⡇⢸⣿⣿⡿⣳⣿⣿⣿⣿⣿⣿⣯⡻⢿⠿⣿⣿⢻⢿⢿⠟⣿⢛⣛⣛⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠨⠵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠹⠿⠿⠿⠿⠿⠿⠉⠃⠘⠃⠈⠛⠟⠽⠿⠿⠿⠿⠿⠿⠿⠿⠿⠆⠀⠿⠛⠶⠾⠷⠓⠿⠾⠿⠾⠾⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⣤⣤⡤⠤⠀⠀⠀⠀⠤⠤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣄⢠⢠⠀⡀⠀⠀⡀⢀⡀⢀⠀⣤⣀⠀⡠⠄⣈⠀⡈⣩⢭⡍⢠⠤⡀⢀⠀⢀⠀⣀⠀⢩⡉⡍⣉⢩⡉⠉⡭⠍⡉⠉⢉⢩⣩⣭⡉⡍⢩⣍⣭⢉⡉⠉⡍⢩⢉⡉⢉⢉⢉⢉⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠏⠂⠸⠸⠤⠇⠸⠼⠰⠆⠧⠇⠇⠧⠀⠬⠵⠡⠴⠾⠸⠸⣠⣼⣴⣷⣷⣷⣷⣯⣶⠀⠸⠱⠟⠭⠻⠄⠠⠭⠆⡧⠇⠶⠷⠶⠶⠪⠀⠸⠸⠤⠺⠀⠀⠧⠼⠸⠸⠸⠼⠨⠫⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢢⣶⣶⣶⣶⣶⣶⡖⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⠀⠀⢐⣶⣶⣶⣶⣶⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡤⣤⢶⣻⣾⣿⣿⣿⣿⣿⡿⢠⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⢸⡄⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠀⠀⠀⠈⡁⢠⠀⣼⡦⣾⣿⣿⣿⣿⣿⣿⣿⣿⠃⢀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠁⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡅⠀⠹⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣠⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡄⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡇⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠀⠐⠚⡥⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠁⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠒⠝⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⡠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢠⡀⠠⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣈⠁⣒⣼⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢫⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢁⣿⡇⡀⠰⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⢵⣀⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣾⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣷⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢪⣉⢛⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⣾⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣻⣿⢇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠁⠈⢁⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠻⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⢳⣿⣿⠇⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⣄⣉⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠘⣿⣿⣿⡿⡟⢉⡛⢋⡽⣿⣿⣿⣷⣿⠟⣁⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠈⠉⠒⠌⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣿⣿⡇⢸⣷⣬⡻⣿⡿⢃⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢠⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢃⣿⣿⣿⣿⣶⣴⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⡿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣚⣿⣟⣛⣛⣛⣛⣛⣛⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡏⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠛⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⢻⠛⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡾⡇⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠀⠀⠈⠉⠑⠉⠁⠠⠶⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡘⠃⣧⠀⣿⣿⣿⡿⣾⣿⣿⣿⣿⣿⣿⣇⢿⣿⣿⣿⣿⢻⣿⢿⡟⣿⢟⡟⢛⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠨⠵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠻⠿⠿⠿⠿⠇⠙⠀⠋⠀⠹⠿⠋⠾⠿⠿⠿⠿⠿⠿⠿⠿⠷⠀⠀⠿⠟⠶⠾⠷⠓⠷⠾⠿⠞⠺⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⡤⠄⠀⠀⠀⠀⠀⠀⠀⠤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⠀⣀⣀⡙⠓⠚⢛⢉⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⢀⠙⡛⠛⢛⠛⠛⣛⡛⠋⠉⠉⢩⣩⣭⠉⡍⢩⢍⡍⠙⠛⠛⡛⢛⠛⠛⠛⠛⠛⠛⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡟⠎⢸⠸⡉⠏⠹⡹⢘⡃⢏⠇⡏⢏⠀⢍⡲⢉⢸⣻⢹⢹⣥⣾⣶⣷⣿⣷⣿⣿⣿⠀⢸⠡⠷⣩⠾⡁⠀⣑⠆⣏⠇⢗⠧⡻⣶⠪⡀⢸⠰⣩⢺⠁⠀⣇⣸⢸⢹⠸⣸⢨⢮⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⣤⣤⣤⣤⣤⣤⣤⠄⡀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠠⢶⣶⣶⣶⣶⣷⣶⣶⣶⣦⣦⣶⣦⣦⣤⣴⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣰⠾⣿⣿⣿⣿⣿⣿⣿⡯⣸⡃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢠⣆⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⠀⠐⢰⠭⣾⣿⣿⣿⣿⣿⣿⣿⡿⠀⢀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠈⠉⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠀⠀⠈⠐⣦⣶⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣤⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⠄⠬⠆⣾⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⡿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢻⡿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠁⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠈⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⢂⣼⠯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⡴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⡄⠀⠄⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠨⣙⣳⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢫⣿⣾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⣼⣿⣄⠈⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀ ⠀⠀⢐⣑⣏⣻⣟⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⣾⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣶⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠮⣨⢏⡉⢭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣴⣾⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢛⣿⡟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠀⠬⠁⠸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣌⠻⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣾⣿⡟⢢⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠠⠀⢄⠀⢠⣄⣙⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠘⢿⣿⣿⡿⡾⠙⣛⠛⡻⣿⣿⣿⣿⣿⡿⠋⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠁⠉⠒⠌⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣶⣿⣿⣿⢸⣿⣮⣿⢿⣿⠟⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣼⣿⣿⣿⣷⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⡯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣛⣿⣛⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⣿⠀⣻⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣳⢏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢸⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠫⠿⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣩⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠋⠁⠀⡠⠤⠀⠀⠰⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⣿⠀⢹⣿⣿⣿⢷⣿⣿⣿⣿⣿⣿⣟⡻⣿⣿⣿⣿⢻⣿⢿⡟⣿⢟⡟⢟⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠛⠻⠟⠿⠿⠿⠿⠛⠙⠂⠘⠆⠸⠿⠿⠫⠿⠿⠿⠿⠿⠿⠿⠻⠿⠦⠀⠹⠿⠒⠼⠳⠷⠷⠾⠾⠺⠾⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣠⣤⣤⣤⣤⠤⠤⠤⠤⠤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠂⢀⣀⠀⠈⠚⢛⣛⡛⢉⣀⡀⠀⠀⠀⠀⠀⠈⢙⠛⡛⠛⢛⠛⠛⣛⡛⠋⠉⠉⢩⣩⣭⡉⡍⢩⠉⣭⠙⠛⠛⡛⢛⠛⠛⠛⠛⠛⠛⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡟⠎⢸⠸⡉⡏⢹⡹⢘⡁⢏⠏⡏⣏⠀⣑⡲⢋⣹⣻⢹⢹⠁⣸⣀⣧⣯⣧⣟⣃⣫⠀⢸⠣⡷⣉⠾⡁⠀⣓⡆⣏⠆⣟⡢⣛⣶⢮⡀⢸⠱⣩⢾⠉⠀⣇⣸⢸⢹⢸⣸⢨⢎⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣤⣤⣤⣤⣤⣤⣤⣤⣤⠄⢀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⢀⣤⣤⣤⣤⣤⣥⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠄⣥⢰⣿⣿⣿⣿⣿⣿⣿⣿⠇⡴⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⡆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⢬⠂⣿⣾⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠉⠈⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢨⡅⢘⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢠⣀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠓⣲⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⡿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠄⠡⠞⢮⣝⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠙⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⠁⠀⠀⠀⠀⠄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢐⣈⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣀⠀⠀⠀⢀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢉⠍⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣱⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣰⣿⠀⠈⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣰⣯⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⢠⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⢸⣶⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢛⠘⢋⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣴⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⣼⡿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⢀⡬⢀⠐⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡘⢿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣿⡿⢁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⠀⢠⣄⣉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠻⣿⣿⣿⢷⠟⣛⠛⡛⣿⣿⣿⣿⣿⡿⠋⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠐⠌⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣾⣿⣿⠀⣿⣶⣽⡿⣿⠟⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢸⣿⣿⣿⣿⣤⣴⣿⣿⣿⣿⣿⣿⣿⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣾⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣚⣿⣟⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⡇⢸⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣳⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢸⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⠟⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣷⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠈⠁⠀⠉⠉⠉⠁⠡⣤⠀⠀⠘⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠇⢹⡇⢸⣿⣿⡿⣹⣿⣿⣿⣿⣿⣿⣿⠿⣿⡿⣿⣿⢻⢿⢿⡟⣿⢛⣛⣛⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠨⠵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠿⠿⠿⠿⠿⠟⠙⠃⠸⠃⠘⠿⠛⠱⠿⠿⠿⠿⠿⠿⠿⠿⠿⠆⠀⠿⠛⠶⠾⠷⠓⠿⠾⠿⠾⠾⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⡤⠤⠤⠤⠤⠤⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⢐⣂⠙⠛⠛⢛⣛⡛⢁⣀⠀⠀⠀⠀⠀⠀⠈⢙⠛⡛⠛⢛⠛⠛⣛⡛⠋⠉⠉⢩⣩⣭⡉⡍⢩⣭⣭⠙⠛⠛⡛⢛⠛⠛⠛⠛⠛⠛⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡟⠎⢸⢸⣁⡏⢹⣱⢘⡅⣏⡏⡏⣏⠀⣑⡢⢉⣩⣳⢹⢹⢁⣸⣤⣧⣿⣷⣿⣖⣫⠀⢸⢣⡷⣉⢾⡁⠈⣓⡆⣏⡆⣞⡢⣟⣶⢶⡀⢸⠱⣙⢾⠉⠀⣇⣸⢸⢹⢸⣸⢸⢎⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⣤⣤⣤⣤⣤⣤⣤⣤⠄⢀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⠀⠀⢀⣤⣤⣤⣤⣤⣥⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡐⣣⢬⣿⣿⣿⣿⣿⣿⣿⣿⡇⣼⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠰⠘⠆⣷⢾⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠉⠈⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⢾⢶⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣶⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢠⣄⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠁⢀⠀⠀⠃⢺⡷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⡏⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⢸⣿⠀⠀⠀⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡄⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠙⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠈⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢺⡿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣀⠼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣠⣙⣜⣱⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣱⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢰⣿⢀⠈⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢰⣿⣮⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⢠⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⢸⣴⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢊⠠⣤⡙⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢇⣴⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⣽⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠠⠄⢀⣨⢁⠈⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠙⢿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣿⡿⢉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣀⠀⢠⣄⣙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⢻⣿⣿⣿⢷⠟⣛⠛⡛⢿⣿⣿⣿⣶⡿⠋⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠌⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣾⣿⣿⠀⣿⣦⣝⣿⣿⠟⢡⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢠⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢸⣿⣿⣿⣿⣤⣴⣿⣿⣿⣿⣿⣿⣿⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣚⣿⣟⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⠁⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠻⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⡻⠟⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣻⠁⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠈⠀⠉⠈⠙⠉⠈⠠⠴⠈⠀⠘⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⢟⠿⢺⡀⢸⣿⣿⣿⣣⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⢻⢿⢿⡟⣿⢟⡛⢛⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠨⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠙⠛⠟⠿⠿⠿⠿⠛⠙⠂⠹⠇⠸⠿⠟⠱⠿⠿⠿⠿⠿⠿⠿⠿⠷⠌⠀⠹⠟⠲⠾⠷⠓⠳⠾⠿⠾⠞⠿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⢤⣄⣤⣤⡤⠤⠤⠤⠤⠤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⢐⡊⠛⠋⠚⢛⣋⡁⢀⣀⠀⠀⠀⠀⠀⠈⠙⢛⠛⡛⠛⢛⠛⠛⣛⡛⠋⠉⠉⢩⣩⣭⠉⡍⢉⣩⣭⠙⠛⠛⡛⢛⠛⠛⠛⠛⠛⠛⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡟⠎⢸⢰⣁⡇⢱⣱⢈⡅⣎⡆⡏⣏⠀⣑⣢⢏⣨⣵⢹⣹⣥⣼⣶⣷⣿⣦⣮⣖⣭⠀⢸⢣⡷⣙⢾⡁⢀⣓⡆⣏⡆⣮⣦⣤⣶⢖⠀⢸⢱⣐⢼⠁⠀⣇⣸⢸⢱⢸⣸⢘⢎⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⣤⣠⣤⣤⣤⣤⣤⣤⣤⠀⢠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣷⣥⣄⠀⠀⢄⣤⣤⣤⣤⣤⣤⣥⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⢬⣿⣿⣿⣿⣿⣿⣿⢁⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⢸⣄⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡀⢴⡶⣾⣿⣿⣿⣿⣿⣿⣿⡇⠘⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢈⡀⠈⡸⢺⣷⣿⣿⣿⣿⣿⣿⣿⣿⢡⣼⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣤⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠐⠀⠥⣦⣓⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠀⠀⣰⡜⢫⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠛⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠆⣘⢿⣾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣄⠀⢀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠠⡝⣟⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢫⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢰⣿⢀⠀⢳⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠠⡈⢼⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢀⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⢹⣧⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⢀⠿⡙⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣤⣾⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⠟⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠊⠈⠈⠀⠘⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠙⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢱⣿⣿⠃⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢐⣄⡀⠀⢠⣄⣛⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡈⢿⣿⣿⣿⣷⠝⢛⠛⠛⣿⣿⣿⣿⣷⣿⠟⢡⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠁⠀⠀⠀⠀⠀⠉⠉⠒⠌⠛⢿⣿⣿⣿⣿⣿⣿⣿⣶⣯⣭⣥⣼⣾⣿⡇⣿⣦⣽⣿⣿⡿⢁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⣿⣿⣿⣿⣭⣤⣿⡟⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢸⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣚⣿⣛⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣾⡏⢹⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣼⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢸⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠻⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⡏⠿⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢽⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠈⠀⠀⠀⠋⠁⠁⡠⡤⠀⠀⠸⣟⣿⣿⣿⣿⣿⣿⣿⡿⠿⡿⢸⡇⢸⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⢿⡟⣿⠟⡟⢟⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠨⠕⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⠻⠿⠿⠿⠿⠍⠉⠂⠘⠃⠀⠿⠿⠿⠏⠾⠿⠿⠿⠿⠿⠿⠻⠶⠉⠈⠿⠟⠲⠼⠷⠓⠲⠾⠿⠾⠾⠿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢄⣤⣤⣤⣤⣤⠤⠤⠤⠤⠤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠘⠋⠻⠟⡛⡁⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⠿⠿⠿⠿⠿⠿⠿⠏⠉⠍⢩⣭⣭⡩⡉⢍⣭⣭⠹⠿⠿⠿⢿⠿⠿⠿⠿⠿⠿⢥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡷⠌⢰⢰⠒⡖⢰⢲⠰⡆⡖⡆⡗⡗⠀⡛⣥⠒⢰⣶⢸⢸⣢⣼⣾⣷⣶⣦⣶⣖⢶⠀⢸⢢⣷⣒⣾⠂⠀⡻⡅⡖⡆⡶⣆⣶⣴⢔⠀⢸⢲⣒⢴⠂⠀⡇⢰⢰⢲⢰⢰⢐⣔⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣈⣀⣁⣈⣀⣈⣁⣈⠀⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⠀⠀⢀⣭⣤⣥⣤⣭⣤⣯⣤⣬⣤⣥⣤⣤⣥⣬⣤⣥⣬⣤⣤⣭⣭⣬⣬⣤⣭⣤⣨⣸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⣻⣶⣿⣷⣿⣾⣿⣿⣿⠃⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⢸⣆⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠐⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠠⠰⢽⠷⣾⡾⣿⣿⣿⣿⣿⣿⣿⣿⢡⣼⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣤⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠠⠀⠒⠿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢸⣿⠀⠀⠀⠀⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠠⠠⠄⠚⢻⡿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠻⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠸⡝⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣀⠀⠂⠀⠀⢀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠠⠨⣈⣈⢽⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢫⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢰⣿⣦⡀⢱⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠭⣍⣩⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢀⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢢⣠⣏⡘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣤⣼⣿⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⣻⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠠⠈⢁⡍⢀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡙⢿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣱⣿⣿⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠐⠠⠀⢡⣄⣑⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠻⣿⣿⣿⣷⠿⢛⡛⠛⣿⣿⣿⣿⣿⣿⠟⢁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠌⠛⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣭⣤⣾⣾⣿⡇⣼⣷⣽⣿⣿⡿⢃⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢁⣿⣿⣿⣿⣾⣤⣾⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣶⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣚⣿⣟⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣼⡏⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⢻⣿⣿⣿⡿⣿⣿⣿⣿⠿⢿⠻⠿⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢳⣽⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠈⠉⠉⠉⠋⠁⠁⢠⠤⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⠸⢿⡇⠈⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⡇⢿⣿⡟⣿⣿⢻⣿⢿⠟⣿⢟⡿⢟⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠨⠕⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠟⠿⠿⠿⠟⠿⠟⠙⠃⠘⠗⠀⠿⠿⠿⠏⠾⠿⠿⠿⠿⠿⠿⠿⠗⠈⠁⠿⠿⠺⠮⠷⠗⠓⠾⠶⠚⠚⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢤⣤⣤⣤⡤⠤⠤⠤⠤⠤⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿⠿⠿⠿⠿⠿⠿⠏⠉⠉⢭⣭⣭⡭⡉⢭⣭⣭⠹⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡷⡜⢸⢰⠒⡖⢲⢲⠰⠆⡖⡆⡗⡗⠀⠚⢭⠖⢲⢶⢺⣺⣢⣼⣿⣷⣶⣦⣶⣦⢖⠀⢸⢂⣧⢒⣼⠂⠐⠫⡅⡖⡆⡶⣆⢶⣴⢔⠀⢸⢲⢒⣴⠂⠀⡇⢸⢰⢲⢰⢰⢐⡔⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠀⠈⠀⢁⠁⠀⠁⠈⠁⣈⣀⣁⣈⣀⣈⣁⣈⠈⣉⣾⣿⣿⣿⣿⣿⣿⣿⣿⣯⣏⡀⠈⠀⠁⣉⣀⣁⣀⣉⣀⣋⣀⣉⣁⣉⣉⣀⣁⣈⣀⣉⣈⣀⣀⣉⣉⣈⣈⣈⣉⣈⣈⣸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣡⢤⣿⣿⣿⣿⣿⣿⣿⢁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⢸⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⡿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣛⣿⣛⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢃⣿⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⢧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠻⡿⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣏⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠈⠁⠈⠉⠋⠉⠀⠡⠄⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠿⢻⡅⢸⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣏⣿⣿⠿⣿⣿⢻⣿⢿⡟⣿⢟⡟⢟⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠨⠥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠫⠯⠿⠿⠿⠿⠿⠏⠛⠂⠸⠃⠘⠿⠿⠿⠣⠿⠿⠿⠿⠿⠿⠿⠿⠶⠀⠀⠿⠿⠲⠮⠥⠗⠓⠾⠶⠚⠺⠿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ䷩ 𝚕𝚒𝚗𝚎 2580 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/04/19/Video_Novell_and_Microsoft_45_Years_Later.shtml Gemini version at gemini://gemini.techrights.org/n/2024/04/19/Video_Novell_and_Microsoft_45_Years_Later.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ [Video] Novell and Microsoft 45 Years Later⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Apr 19, 2024, updated Apr 19, 2024 Video_download_link | md5sum a23e271e3e991b9ef4022381fce4ff16 just Novell_and_History Creative Commons Attribution-No Derivative Works 4.0 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Preview_for_Novell_and_History⦈_ THE company we all know or remember as "Novell" (now in the ashtray of history) started "possibly informally in 1979 in Provo", i.e. 45 years ago... Long new stories_about_Novell's_history bring back memories about a company that technically if not legally predates my birth. This one story focuses on the 80s and 90s. Does it cover the Microsoft problems correctly? It does not seem so, an associate has told us. Microsoft's aggressive whisper campaign had a lot to do with the demise of Netware. Some corrections needed there... The way it seems (to me at least) on the surface, this long blog post, which was published earlier this week, mostly stops around SuSE and the "late Novell" (which more or less died in late 2010). 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Novell_Data_Systems_Nexus_1_from_Reddit_user_redruM69,_z80, 5MB_HDD,_CP/M⦈_ A pre-Microsoft Ars Technica wrote_about the later_(not_original)_case_against Microsoft, the associate said. However, it would be important to find the earlier case, where Microsoft was "punished" by having to write letters to Novell's remaining customers. Microsoft-connected sites that the associate saw [1, 2] are still online, but "there must be a lot of Groklaw material, if one can find it," e.g. [1, 2, 3]. "The anti-Netware whisper campaign ran around the time of NT5 aka Windows 2k." In the video above I mostly focus on the 90s (when I was a teenager) and what happened in 2006 when Novell's Ron Hovsepian (who had come from IBM) sealed the company's sad fate by taking the advice of Microsoft moles like Miguel_de Icaza. Sadly we nowadays see Canonical and Red Hat following similar footsteps. We need to do something about that. █ ⠀⠀⠀⡷⣸⡔⢢⢆⡄⣔⡄⣯⠀⢀⣢⢰⢢⢠⢺⠀⢸⠤⡇⡧⣒⢲⢢⢢⢰⠒⣤⠂⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠉⠈⠁⠈⠀⠉⠁⠁⠀⠈⠉⠈⢈⣈⣉⣀⣈⣀⣁⣉⣉⣈⣉⣉⣈⣀⣋⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢉⢍⣭⣭⣭⣭⠉⣭⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢀⡈⣩⣴⣽⣿⣿⣿⣿⣿⣿⣿⠟⠋⠉⠉⠉⠉⠉⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣭⣿⣽⣿⣾⣿⣿⣿⣿⣿⠋⠀⣀⣀⣤⣶⣤⣀⣀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠿⢾⣿⣷⣿⣿⣿⣿⣿⣿⣿⡿⠉⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠐⠀⢰⠐⢲⡖⢿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠈⠈⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⠀⠀⠁⢰⣾⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡈⠀⠀⢚⡗⢾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⣤⣆⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀ ⠀⠀⠀⠃⠒⢺⡩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢒⣺⣶⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠛⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠉⠀⠀⠀⢀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠠⢬⣭⢿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣠⡀⠐⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠃⢙⢿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢠⣿⡇⣄⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠐⢚⠀⣿⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢠⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⢈⠨⠁⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠸⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣽⣿⣿⣿⡿⣫⣽⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠠⠀⠄⣀⠀⢠⣄⣉⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠙⢿⣿⣿⣿⣟⢿⣿⣿⣿⣿⣿⣿⣿⣷⣿⠟⢡⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠁⠙⠒⠌⠛⣿⣿⣿⣿⣿⣿⣿⣿⣧⡈⢛⣛⣛⣻⣡⣴⠀⣴⢻⣿⣿⣿⡿⢃⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠢⢰⠀⡦⢰⠄⡦⢨⠻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⣿⣷⣿⣿⠟⣡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣛⣿⣟⣛⣛⣛⣛⣛⣛⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣿⠙⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸⣿⣿⠅⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡿⠃⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣜⣿⠀⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠈⠉⠈⠈⠛⠉⠉⠤⡴⠀⠀⠀⠰⠫⡟⣿⣿⣿⣿⣿⣿⣿⠇⡏⢿⠀⢻⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⢿⠟⣛⣿⢻⣿⢿⡟⣿⢟⣛⣟⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⡵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⠿⠿⠿⠿⠿⠆⠀⠀⠀⠘⠛⠿⠿⠿⠿⠟⠿⠛⠙⠻⠿⠿⠆⠸⠿⠛⠒⠺⠗⠷⠿⠺⠿⠾⠾⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡷⣰⡤⢄⠄⡄⣄⡄⣇⠀⢠⣠⢠⢠⢠⢸⠀⢸⠤⡇⡥⣠⢰⢠⢠⢠⠠⣀⠄⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠉⠈⠁⠈⠁⠁⠁⠁⠀⠈⠉⠈⠈⠈⠉⠀⢈⡀⣁⣉⣉⣈⣉⣉⣈⣀⣏⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⢍⣭⣭⣭⣩⠉⣍⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡉⠰⢢⣽⣯⣿⣿⣿⣿⣿⡿⠟⠋⠉⠉⠉⠉⠉⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣴⣾⣿⣽⣿⣿⣿⣿⣿⣿⣿⠋⠀⣀⣠⣤⣴⣤⣀⣀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠐⢈⣤⣽⣾⣿⣷⣿⣿⣿⣿⣿⣿⣿⡿⠊⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⠈⠩⢾⡳⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠈⠈⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠀⠀⢀⡁⣠⡞⣼⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠒⢮⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣤⣆⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⡿⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀ ⠀⠀⢀⠒⣛⢻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠛⠁⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠁⠀⠀⠀⢀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢌⣙⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣠⡀⠐⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢐⣩⣻⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢡⣿⡇⣄⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⣸⣟⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢀⣿⣿⣿⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⢉⣉⠁⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠸⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⣽⣿⣿⣿⡿⣫⣽⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠠⠈⢁⠀⢡⣄⣙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠙⢿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢡⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠂⠌⠙⣿⣿⣿⣿⣿⣿⣿⣿⣧⡈⢛⣛⣛⣻⣡⣴⠀⣼⢻⣿⣿⣿⡿⢃⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⢻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⣿⣿⣯⣛⡟⣡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣛⣿⣟⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣿⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣜⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠉⠈⠉⠓⠍⠀⠡⣤⠀⠀⠀⠸⢿⡿⢿⣿⣿⣿⣿⣿⣿⡇⡯⢿⠀⢿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⡿⠟⣛⣿⢻⣿⢿⡟⣿⢟⣛⣟⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠘⠛⠿⠿⠿⠿⠿⠇⠀⠀⠁⠘⠛⠿⠿⠿⠿⠟⠟⠛⠛⠛⠿⠿⠂⠸⠿⠛⠒⠺⠷⠷⠿⠺⠿⠾⠾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡦⢰⡠⢄⠄⡄⣤⡄⣶⠀⢠⣤⢠⢤⢠⢴⠀⢰⠤⡆⡤⣤⢴⢤⢤⢠⠤⣀⠄⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⠉⠁⠉⠈⠁⠑⠀⠉⠀⠈⠊⠘⠘⠈⠚⠀⠘⠀⠃⠉⠊⠘⠊⣊⠘⣠⣏⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢉⢍⢭⣭⣭⣭⠉⢩⣩⣭⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⣈⣷⣸⣯⣿⣿⣿⣿⣿⣿⠟⠋⠉⠉⠉⠉⠙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⢤⣽⣤⣿⣴⣿⣿⣿⣿⣿⣿⣿⠋⠀⣀⣄⣤⣦⣤⣀⡀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠐⠀⢬⣦⣮⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⠀⠀⢀⡀⢀⠲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠠⢔⡢⣼⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣤⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣘⣔⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⠀⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠦⣝⢻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠛⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⠁⠀⠀⠀⢀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣌⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣠⠀⠑⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢈⠰⣐⢞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⣿⠇⡄⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠀⠀⠀⠐⠀⠀⠀⠀⠀ ⠀⠀⢿⡕⢒⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠠⠄⠈⢩⢁⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠸⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣽⣿⣿⣿⡿⣫⣽⡟⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢂⢐⣀⠈⠠⣄⣛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠙⢿⣿⣿⣿⣟⢿⣿⣿⣿⣿⣿⣿⣿⣶⣿⠟⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠈⠁⠀⠀⠀⠈⠉⠙⠒⠌⠛⣿⣿⣿⣿⣿⣿⣿⣿⣷⡈⢛⣛⣛⣻⣡⣶⠀⣼⢻⣿⣿⣿⡿⢃⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⠻⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢰⣿⣿⣏⣻⡟⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣛⣿⣟⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣿⠉⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡿⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡎⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠈⠉⠀⠉⠙⠁⠁⢠⣤⠀⠀⠀⠈⢿⣟⣿⣿⣿⣿⣿⣿⣿⣻⡇⢻⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢛⣛⣿⢻⣿⢿⠟⣿⣛⣛⣛⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠻⠿⠿⠿⠿⠅⠀⠈⠀⠈⠛⠻⠿⠿⠿⠯⠟⠛⠛⠻⠿⠿⠦⠼⠿⠟⠒⠺⠷⠷⠿⠺⠿⠾⠾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡦⢰⡠⢄⡄⡀⣤⡄⣦⠀⠠⣤⢠⢤⢠⢴⠀⢰⣀⡆⣦⡤⢴⢤⢤⢠⠤⣀⠄⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⠙⠑⠊⠘⠁⠑⠂⠃⠀⠘⠚⠘⠘⠈⠚⠀⠘⠀⠃⠃⠚⠘⠊⠚⠘⠠⠏⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢉⢍⣭⣭⣭⣩⠉⢩⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣆⣈⣍⣽⣿⣿⣿⣿⣿⣿⡿⠟⠋⠉⠉⠉⠉⠙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⠙⣦⣷⣾⣷⣿⣿⣿⣿⣿⠿⠋⠀⣠⣠⣴⣤⣄⣀⡀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⠑⠀⣥⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⢁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠀⢸⡧⣾⣾⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠰⣰⢒⣟⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠠⢶⡶⣪⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢧⣴⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢠⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠀⡆⢸⡇⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⢒⢸⡟⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠛⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⠁⠀⠀⠀⢀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⡣⢛⣾⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣤⠀⠰⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠂⣸⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣱⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣰⣿⠣⡀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠠⠀⠀⠀⠀⠀ ⠀⠀⠈⢀⣮⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⢠⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠀⠈⠭⢁⠐⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⡿⣫⣽⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⣀⠀⢈⣄⣛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠙⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⠟⢁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠒⠌⠙⣿⣿⣿⣿⣿⣿⣿⣿⣧⠘⠻⠟⠛⣛⣁⣭⠁⣜⢿⣿⣿⣿⡿⢁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⢫⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⡿⢸⣿⣷⣝⡻⠟⣠⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣚⣿⣟⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⣿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢸⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠻⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⢻⡿⠃⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠁⠀⠈⠈⠙⠉⠁⠡⡤⠀⠀⠀⢀⠻⣿⣿⣿⣿⣿⣿⣿⣿⢻⡏⢿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢛⣛⣿⢻⣿⢿⡟⣿⣟⣛⣟⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠟⠛⠻⠿⠿⠿⠂⠀⠈⠀⠘⠻⠿⠿⠿⠿⠟⠟⠛⠛⠿⠿⠿⠆⠹⠟⠛⠒⠿⠷⠷⠿⠾⠿⠾⠾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣦⢰⡠⢄⡄⡀⡠⡀⣦⠀⠀⢄⢠⢤⢀⢴⠀⢰⣀⡆⣆⠤⢴⢄⢤⢠⠤⣀⠄⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⠛⠑⠊⠘⠁⠓⠂⠓⠀⠘⠚⠘⠘⠘⠚⠀⠘⠀⠃⠓⠚⠘⠚⠚⠘⠀⠟⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢉⢍⣭⣭⣭⣩⡉⡩⣍⣭⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠐⡄⠀⣀⣧⣿⣼⣾⣿⣿⣿⣿⣿⠟⠛⠉⠉⠉⠉⠙⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢀⢹⣤⣿⣽⣿⣿⣿⣿⣿⣿⡿⠋⠁⣀⣤⣤⣶⣦⣄⣀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⠀⣹⣼⣿⣶⣿⣿⣿⣿⣿⣿⣿⡿⠋⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡶⣾⠶⢿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠈⠈⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⡤⢨⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⡄⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣤⣇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠠⠀⠖⢘⡗⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠐⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠑⢢⡴⢬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠙⠃⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠉⠀⠀⠀⢈⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⢨⣌⣽⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣠⡀⠐⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢅⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⡈⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢱⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⢱⣿⡗⡄⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢈⡙⢱⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠀⢈⠩⠁⠸⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠸⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣫⣽⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢨⠀⣀⠀⣠⣄⣙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠙⢿⣿⣿⣿⣟⢿⣿⣿⣿⣿⣿⣿⣿⣽⣿⠟⢁⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠁⠀⠀⠀⠀⠈⠁⠉⠒⠌⠛⣿⣿⣿⣿⣿⣿⣿⣿⣧⠈⢛⣛⣛⣻⣡⣴⠀⣼⠻⣿⣿⣿⡿⢁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⢻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢰⣿⣿⣮⡛⡟⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣾⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣛⣿⣟⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣿⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⣿⡿⠃⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠊⠈⠉⠁⠛⠅⠃⠠⠤⠀⠀⠀⠈⣽⠿⣿⣿⣿⣿⣿⣿⣿⠗⡏⢿⠀⢻⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⠿⠛⣛⣿⢻⣿⢿⡟⣿⢟⣛⣟⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⡵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠟⠿⠿⠿⠿⠿⠀⠀⠀⠀⠘⠟⠿⠿⠿⠿⠯⠿⠟⠉⠻⠿⠟⠦⠸⠿⠟⠒⠾⠷⠷⠿⠺⠿⠾⠾⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣦⢰⡀⣀⡀⡀⡠⡀⡦⠀⢀⢄⢠⢄⢀⢴⠀⢰⣀⡆⣂⢄⢠⢄⢄⢠⢤⠀⠄⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⠛⠑⠊⠘⠁⠛⠃⠛⠀⠘⠛⠘⠘⠘⠚⠀⠘⠀⠃⠓⠛⠘⠚⠚⠘⠀⡟⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢉⢍⢭⣭⣭⣩⠉⣩⠉⣭⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⣐⣂⣼⣾⣿⣿⣿⣿⣿⣿⠿⠛⠉⠉⠉⠉⠉⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢀⣈⣀⣤⣿⣭⣿⣿⣿⣿⣿⣿⣿⡛⠁⢀⣠⣤⣤⣶⣤⣀⡀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⠤⠀⠀⠀⣵⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠗⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠂⢤⠡⣰⣖⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠁⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠌⡄⢨⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠐⠀⢠⣤⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢠⣼⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⠀⠆⢚⡏⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢾⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣾⡇⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣔⣺⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⠋⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠉⠀⠀⠀⢀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠐⣨⠀⢁⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢡⡀⠐⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠛⠑⢌⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢫⣿⣾⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⢃⣿⡇⣆⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⡹⠿⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢀⣿⣿⣿⡎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠂⠀ ⠀⠀⠊⠁⢈⢁⠰⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠰⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣋⣽⡿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣀⠀⠠⣄⡋⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡙⢿⣿⣿⣿⣟⢿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡿⢃⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠀⠀⠀⠁⠋⠐⠌⠙⣿⣿⣿⣿⣿⣿⣿⣿⣧⡈⠛⡟⠛⣻⣁⣼⠀⣤⠻⣿⣿⣿⡿⠋⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⢻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣿⣿⣮⡛⡟⣡⣾⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣛⣿⣟⣛⣛⣛⣛⣛⣛⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⠛⢿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸⣿⣿⠅⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡿⠁⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⠐⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠓⠈⠈⠉⠋⠉⠁⠡⡤⠀⠀⠀⠈⠻⠿⣿⣿⣿⣿⣿⣿⣿⡏⣿⢹⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⠟⣻⣿⢻⣿⢿⡟⣿⢟⡛⣟⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠙⠻⠿⠿⠿⠿⠿⠁⠀⠀⠀⠘⠛⠿⠿⠿⠿⠿⠚⠛⠛⠻⠿⠿⠦⠸⠿⠟⠒⠾⠷⠷⠿⠾⠿⠾⠾⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣄⢠⢀⡀⡀⡀⣀⡀⣦⠀⢀⣀⢀⣀⢀⣰⠀⢠⣀⡄⣂⣀⢠⣀⣀⢀⣀⠀⡀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⠛⠓⠊⠐⠃⠋⠃⠃⠀⠘⠙⠘⠘⠘⠘⠀⠘⠀⠃⠓⠙⠘⠘⠘⠘⢀⡟⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢉⢍⢭⣭⣭⣭⡉⣩⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡢⣠⠆⣶⣶⣶⣶⣶⣾⣾⣿⡿⠛⠉⠉⠉⠉⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠐⣴⣧⣽⣿⣿⣿⣿⣿⣿⣿⡟⠁⢀⣤⣤⣴⣶⣤⣀⣀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⢠⣿⣴⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⠟⢁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠰⠠⢶⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠁⠉⠉⠉⠉⠉⠉⠉⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠠⠀⠀⡨⠵⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠠⢀⣵⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢤⣴⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢀⣀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢐⠐⠀⡤⢝⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣾⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡇⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡘⠋⠡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⠋⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠙⠁⠀⠀⢁⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⡛⣊⣻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⡀⠀⢶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠛⠘⠿⢻⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢫⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣾⡇⣆⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⢞⡙⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢀⣾⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣷⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠠⠃⡁⡩⢁⠈⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠰⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣭⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⡘⢌⣀⠀⢠⣄⣙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡙⢿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢃⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠁⠀⠀⠀⠀⠀⠁⠉⠒⠌⠛⣿⣿⣿⣿⣿⣿⣿⣿⣧⡈⠻⠿⠛⢛⣉⣬⡍⣠⡻⣿⣿⣿⣿⠏⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⠻⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⠃⣿⣿⣾⣛⠿⢃⣼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣸⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣛⣿⣟⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣿⡏⢻⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢸⣿⣿⠅⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⡿⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣿⡗⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠈⠈⠁⠀⠉⠛⠍⠉⠨⣤⠈⠀⠀⠈⢿⣟⣿⣿⣿⣿⣿⣿⣿⡟⣿⢹⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⢛⣛⣿⢻⣿⢿⡟⣿⢛⣛⣟⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⡥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠘⠙⠿⠿⠿⠿⠿⠿⠁⠀⠀⠀⠘⠟⠻⠿⠿⠿⠿⠹⠛⠋⠙⠿⠿⠃⠸⠟⠛⠒⠾⠷⠷⠿⠺⠿⠾⠾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣄⢠⢀⡀⡀⠀⣀⡀⡤⠀⢀⣀⢀⣀⢀⣠⠀⢠⠀⡄⣄⣀⣠⣀⣀⢀⣀⠀⡀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠇⠺⠣⠜⠰⠃⠫⠁⠗⠀⠘⠽⠸⠸⠘⠼⠀⠸⠀⠇⠟⠝⠸⠜⠜⠸⢀⡟⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⢍⣭⣭⣭⣭⡉⣩⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣠⣰⣠⣶⣶⣶⣶⣶⣶⣶⣶⠶⠂⠀⠀⠀⠀⠉⠙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⢤⣄⣀⣽⣺⣿⣿⣿⣿⣿⣿⡿⡟⠁⣀⣤⣤⣶⣦⣤⣀⡀⠀⠀⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠖⢿⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡴⣘⠁⣽⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢄⡴⠼⠿⢼⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀ ⠀⠀⠀⠀⠀⢁⣊⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣤⣾⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣄⡀⠀⠀⠀⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀ ⠀⠀⠸⠷⠑⢳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣿⡇⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢘⣛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠉⠀⠀⠀⢀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀ ⠀⠈⢀⡉⢝⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢠⡄⠈⢶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢈⡼⢕⣌⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⣿⡇⣆⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡂⠀⠀⠀⠐⠂⠀⠀⠀⠀ ⠀⠀⢠⣤⣿⡘⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢀⣼⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣷⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⢉⠉⢁⠘⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠰⣿⣿⣿⣿⣷⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⣽⣿⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠘⠀⠀⢠⣄⣛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡿⢃⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠀⠀⠀⠀⠀⠉⠉⠙⠒⠌⠛⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⢛⣛⣛⣛⣉⣴⡄⣤⡻⣿⣿⣿⣿⠋⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⠻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣿⣿⣮⣛⡟⣡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣶⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣚⣿⣟⣛⣛⣛⣛⣛⣛⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣿⠋⢻⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠻⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⢿⡿⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⡗⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠘⠉⠙⠛⠋⠉⠉⢠⡤⠀⠀⠀⠀⠽⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⢹⡇⢸⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⡻⢛⣛⣿⢻⢿⢿⡟⣿⢟⣛⣟⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠨⡽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠻⠿⠿⠿⠿⠁⠀⠀⠁⠘⠛⠻⠿⠿⠿⠟⠾⠛⠉⠛⠿⠿⠧⠸⠟⠛⠒⠾⠷⠷⠿⠾⠿⠾⠾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣄⢠⢀⡀⡀⠀⢀⡀⣄⠀⢀⡀⢀⣀⢀⣠⠀⢠⠀⡄⡄⣀⣠⡀⣀⢀⣀⠀⡀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠏⠾⠣⠜⠱⠃⠧⠅⠟⠀⠰⠽⠸⠸⠸⠼⠀⠸⠉⠇⠯⠴⠸⠼⠼⠸⠀⡿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⢉⢭⣭⣭⣭⠉⣭⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⢰⣶⣶⣶⣶⣶⣶⣶⣶⡶⠂⠀⠀⠀⠀⠀⠉⠙⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡘⢕⢹⣶⣾⣿⣿⣿⣿⣿⣿⣿⠿⠉⢀⣀⣠⣶⣤⣄⣀⣀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠀⠀⣠⣪⣆⣿⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣀⡝⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢾⠧⣼⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢄⡀⢠⡤⢐⣷⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⣠⣤⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⢀⡘⢛⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢿⡿⠀⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⠹⣋⡄⠶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠛⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠁⠀⠀⠀⢀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⢶⣨⣟⣰⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣤⡄⠐⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡂⠀⠀⠀⢀⠀⠀⠀⠀⠀ ⠀⠀⣬⡉⠌⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⣿⡃⣆⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠠⠬⢳⣗⣙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠠⠒⠈⣨⢀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠸⣿⣿⣿⣿⡏⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣼⡟⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣐⡀⠀⠠⣄⣙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠙⢿⣿⣿⣿⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠀⠉⠀⠀⠀⠈⠉⠙⠒⠌⠙⣿⣿⣿⣿⣿⣿⣿⣿⣧⡈⣛⣛⣛⣹⣡⣴⠀⣼⠻⣿⣿⣿⡿⢃⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⣿⣿⣾⣟⡟⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣶⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣛⣿⣟⣛⣛⣛⣛⣛⣚⣙⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⣿⠉⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢸⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⢻⡿⠁⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⣿⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠙⠉⠈⠉⠋⠉⠉⢡⣤⠀⠀⠀⠘⣻⣿⣿⣿⣿⣿⣿⣿⣿⢻⠇⢿⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢛⣻⣿⢻⣿⢿⡟⣿⢟⣛⣟⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠙⠛⠻⠻⠿⠿⠿⠁⠀⠐⠀⠈⠛⠿⠿⠿⠿⠷⠿⠛⠛⠿⠿⠿⠦⠸⠿⠟⠲⠾⠶⠷⠟⠾⠿⠾⠾⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣄⢠⢀⡀⡀⠀⢀⠀⡤⠀⠀⡀⢀⡀⠀⣠⠀⢠⠀⡄⡄⣀⣀⡀⡀⢀⣀⠀⡀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠏⠾⠣⠜⠱⠃⠷⠇⠧⠀⠰⠾⠸⠸⠸⠼⠀⠸⠉⠇⠯⠶⠸⠼⠼⠸⠀⡿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢉⢍⢭⣭⣭⣩⠉⣭⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡰⣀⣶⣶⣶⣶⣶⣶⣶⣶⣶⠖⠂⠀⠀⠀⠀⠉⠙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢾⣌⣱⣼⣿⣽⣿⣿⣿⣿⡿⠋⠀⣠⣠⣴⣦⣤⣄⣀⡀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⠤⠛⢼⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⠉⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⢈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠄⠀⢼⠖⣯⣾⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠁⠈⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⡄⠸⢿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢐⣲⡳⢲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣤⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢀⣤⠄⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠀⠈⢙⡷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡘⡓⠞⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠉⠃⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠠⣁⣌⣹⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢠⡄⠈⢶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠰⣻⣏⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⣿⡗⣄⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣸⢿⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢀⣾⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣷⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠈⢀⡨⢁⠸⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡸⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⣽⣿⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣸⠅⢀⡀⢀⣄⣛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡈⢻⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣳⣿⡿⢃⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠀⠀⠀⠀⠈⠉⠙⠒⠌⠙⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⢛⣛⣛⣛⣭⣴⡄⣤⡻⣿⣿⣿⣿⠋⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⠻⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢁⣿⣿⣾⣻⡟⣡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣼⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣚⣿⣟⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢇⣿⠋⢻⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⡿⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣿⡖⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠘⠈⠙⠈⠋⠉⠉⠥⣦⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⠿⡏⢻⡂⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⣻⣿⢻⣿⢿⡟⣿⢟⣛⣛⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠨⠵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠻⠿⠿⠿⠿⠟⠀⠈⠂⠈⠛⠿⠿⠿⠿⠯⠿⠛⠋⠿⠿⠿⠇⠸⠿⠟⠒⠾⠷⠷⠟⠾⠿⠾⠾⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣄⢀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⢠⠀⢠⠀⡄⠄⠀⢀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠏⠾⠫⠕⠡⠇⠗⠇⠿⠀⠸⠾⠸⠸⠸⠼⠀⠸⠉⠇⠯⠾⠸⠼⠼⠸⠈⡶⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢉⢍⣭⣭⣭⣭⡉⣭⣩⣭⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣀⣤⣀⣤⣴⣤⣦⣶⣶⣶⡶⠂⠀⠈⠁⠀⠉⠉⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣆⣤⣶⣾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣟⠁⢀⣤⣤⣴⣦⣤⣀⣀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣄⣿⣤⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⠇⢁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡠⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠈⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⡥⠌⡻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⠀⠀⢘⣷⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢠⣼⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣠⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢐⡒⢰⣗⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢸⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡇⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠒⠚⣷⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠈⠙⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠙⠀⠀⠀⢀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⢐⣣⣞⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢣⡄⠀⢶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠨⠿⢙⡪⠽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⣾⡏⣠⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠦⢾⣛⡑⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢀⣼⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠊⢀⣭⢁⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡐⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣭⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⢺⣈⡠⠀⢡⣄⣛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡌⢻⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢃⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠁⠙⠒⠌⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣙⣛⣛⣉⣭⣴⡆⣤⡛⢿⣿⣿⣿⠋⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⠻⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣿⣿⣷⣛⡛⣡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣶⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣚⣿⣟⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡏⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⡿⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⡏⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠈⠉⠉⠉⠛⠍⠋⢡⣶⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⢹⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⣻⣿⢻⣿⢿⡟⣿⢟⣟⣟⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⡵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⠿⠿⠿⠿⠋⠀⠀⠁⠈⠛⠿⠿⠿⠿⠟⠿⠛⠛⠛⠿⠿⠢⠸⠿⠟⠒⠾⠷⠷⠟⠾⠿⠾⠾⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⢠⠀⢀⠀⡀⡀⠀⢀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡏⠼⠎⠑⢡⠇⢟⠃⠇⠀⠸⣻⢸⢹⠸⣹⠀⢸⠉⡇⡿⡻⢹⡹⡹⢸⠉⡶⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢉⢍⢭⣭⣭⣩⠉⣭⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⣤⣤⡄⣤⣤⣤⣤⣤⣤⣤⣤⡤⠀⠀⠀⠁⠀⠀⠉⠙⠛⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡛⣤⣾⣽⣿⣿⣿⣿⣿⣿⣿⢿⠁⢀⣠⣤⣴⣶⣦⣤⣀⡀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⠰⣙⢬⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⢴⡤⣿⣾⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠈⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⠂⠡⢾⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠁⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠴⠢⠁⢘⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣶⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣀⠀⠀⠀⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠐⢷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠄⢺⣍⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠉⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠈⠁⠀⠀⢀⠈⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀ ⠀⠀⠀⣪⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣄⠀⢲⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠂⣘⣍⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣸⣿⢠⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠠⢈⣩⣿⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢀⣼⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣩⢅⠨⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣭⣿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠒⠈⣄⠀⢠⣄⣛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡈⢻⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣏⣾⡿⠋⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠀⠀⠈⠉⠙⠒⠌⠛⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⢛⣛⣛⣋⣭⣴⡆⢠⡟⢿⣿⣿⣿⠟⣡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⢻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣿⣿⣷⣻⠻⢋⣴⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢸⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣛⣿⣟⣛⣛⣛⣛⣛⣛⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡏⢻⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⡿⠃⢸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡗⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠈⠉⠙⠉⠋⠉⠁⢡⣴⠀⠀⠀⠀⢻⡿⣿⣿⣿⣿⣿⣿⣿⡿⢻⢹⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠛⢻⣿⢻⣿⢿⡟⣿⢟⡟⣟⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠨⡵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⠿⠿⠿⠿⠋⠀⠀⠃⠀⠛⠿⠿⠿⠿⠿⠼⠟⠋⠛⠻⠿⠧⠸⠿⠿⠒⠾⠷⠷⠿⠾⠿⠾⠾⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⢀⠀⢀⠀⡀⡀⠀⢀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡟⣼⢎⡱⢣⠆⣞⡃⣇⠀⢨⣻⢸⢹⢸⣹⠀⢸⠒⡇⣗⣫⢹⣱⣹⢸⠉⣶⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢉⢍⢭⣭⣭⣩⠉⠩⣍⣭⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⣀⢄⣤⣤⣤⣤⣤⣤⣤⣤⡤⠀⠀⠀⠁⠀⠈⠉⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠄⢠⣧⣬⣶⣽⣷⣿⣿⣿⣿⣿⣿⣟⠁⢀⣤⣤⣤⣶⣤⣀⣀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⠤⠿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠄⢰⡶⢽⡧⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠈⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠀⠀⠀⠀⢤⣬⣸⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠄⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡀⠠⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢠⣴⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢠⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣸⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢸⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢸⣿⠠⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠲⠼⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠙⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⠁⠀⠀⢀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣴⣷⣞⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣄⠀⢲⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢋⢉⢩⣭⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⣾⣾⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⡏⣼⣿⢠⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠀⠀⠀⠀⠀ ⠀⠀⢄⣠⣈⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢀⣼⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠋⠀⡩⢁⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡐⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⢟⣭⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠚⠀⡀⠀⣠⣄⣛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡌⢻⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣟⣿⡿⠋⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠐⠀⠀⠀⠀⠀⠈⠉⠉⠒⠌⠙⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⢙⣛⣛⣋⣍⣴⡆⣠⡟⣿⣿⣿⣿⠟⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⠻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣿⣿⣷⣿⡿⢋⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣛⣿⣟⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡏⢻⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢸⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠻⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⢿⡿⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡗⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠘⠁⠉⠙⠋⠍⠁⢡⠴⠀⠀⠀⠈⣿⡟⣿⣿⣿⣿⣿⣿⣿⡟⣿⠹⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠛⢻⣿⢻⣿⢿⡟⣿⢟⡟⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠻⠿⠻⠿⠿⠿⠿⠛⠀⠀⠃⠈⠛⠿⠿⠿⠿⠿⠼⠟⠋⠹⠻⠿⠷⠸⠿⠿⠒⠾⠷⠷⠿⠾⠿⠾⠾⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⢀⠀⢀⠀⡀⡀⠀⢀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡟⣼⢎⡱⢣⠆⣎⡂⣿⠀⢠⣱⢸⢹⢰⣹⠀⢸⠒⡇⣗⣩⢹⣱⣹⢸⠉⣶⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢉⢍⢭⣭⣭⣩⠉⣭⠉⣭⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡤⠀⠀⠀⠁⠀⠉⠉⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⣸⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣟⠉⠀⣀⣀⣠⣤⣀⣀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠐⠀⠎⢴⣟⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢁⣰⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢲⣿⣷⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠈⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠒⢮⣷⢼⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠁⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠄⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢼⣆⢪⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢠⣴⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢠⣀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠐⠀⡣⣤⣢⡞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡇⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠟⡽⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠙⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠁⠀⠀⢀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⢰⣉⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢁⣄⠀⢲⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⡡⣇⣉⣹⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣼⣿⢀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠰⡹⢟⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣼⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣸⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠁⠈⢁⠸⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣾⣿⣿⣿⢟⣭⣿⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠘⠄⣀⡀⢨⣄⣛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠹⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠒⠌⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⢘⣛⣛⣋⣯⣴⡆⢠⡟⣿⣿⣿⣿⠏⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⠫⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣾⣿⣷⣙⡻⢃⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢸⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣛⣿⣟⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣾⡏⢹⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⠃⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡏⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠈⠉⠉⠙⠛⠁⠉⠡⠴⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⡟⠿⠸⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠛⣻⣿⢻⣿⢿⡟⣿⢟⣛⣟⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⠿⠿⠿⠿⠟⠃⠀⠁⠈⠛⠿⠿⠿⠿⠿⠿⠟⠋⠻⠿⠿⠷⠸⠿⠟⠒⠿⠷⠷⠿⠺⠿⠾⠾⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⢀⠀⢀⠀⡀⡀⠀⠀⠀⠀⠄⠀⠄⠠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡟⣼⢆⡲⢢⡄⣦⡆⣏⠀⢰⣵⢰⢰⢰⣹⠀⢸⠒⡇⣖⣵⢸⣱⣱⢸⠙⣤⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢉⢍⢭⣭⣭⣩⠉⣭⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⣀⢀⣀⣤⣄⣤⣤⣤⣤⣤⣤⣤⠤⠀⠀⠀⠁⠀⠉⠙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣥⣭⣿⣽⣿⣿⣿⣿⣿⣿⣿⡋⠀⠀⠀⢀⣤⣀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⡠⣼⢶⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⠍⢠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠐⢺⠆⣼⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠀⠀⢀⡄⠼⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠸⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠁⢀⡄⢰⡶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣀⡆⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢉⡼⢼⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡗⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠌⢋⣽⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠙⠃⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠋⠀⠀⠀⢀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠐⡠⢶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⡀⠐⢶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠠⢤⣤⠌⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢃⣿⡇⡄⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠂⠀ ⠀⠀⡌⠩⢆⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢀⣾⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⡧⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠂⠀⣭⢁⠘⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠰⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣋⣽⣿⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣀⣄⣀⡀⠠⣄⣛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⣿⡿⢃⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠁⠀⠀⠀⠈⠉⠈⠒⠌⠻⣿⣿⣿⣿⣿⣿⣿⣿⣷⡈⢛⣛⢛⣻⣁⣴⠀⣤⠻⣿⣿⣿⣿⠋⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣿⣿⣯⣿⠟⢡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣶⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣛⣿⣟⣛⣛⣛⣛⣛⣛⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢁⣿⠛⢻⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⡿⠃⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⣿⠀⣾⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠈⠉⠉⠉⠛⠍⠉⡠⣤⠀⠀⠀⠘⢛⣿⣿⣿⣿⣿⣿⣿⣿⢻⡇⢿⠀⢹⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⢿⠿⠿⣿⢻⣿⢿⡟⣿⢟⡟⢟⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠨⡵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠟⠿⠿⠿⠿⠿⠂⠀⠀⠀⠘⠛⠻⠿⠿⠿⠿⠾⠟⠛⠻⠿⠿⠧⠸⠿⠿⠒⠻⠷⠷⠳⠾⠿⠾⠾⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⡠⠤⠤⠤⠤⠤⠤⠤⠤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡗⣼⣔⡢⢂⡆⡶⡆⣷⠀⢰⢶⢰⢲⢰⢺⠀⢸⠒⡇⣖⢶⢸⢲⢲⢰⠒⣤⠂⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⢍⢭⣭⣭⣩⡉⢭⣩⣭⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣄⡤⠀⠀⠀⠃⠀⠉⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠠⣤⣶⣤⣷⣼⣿⣿⣿⣿⣿⣿⣿⠿⠉⠀⣀⣀⣤⣦⣀⣀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠀⠄⠀⢸⡶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⢁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡐⠢⡴⢿⣾⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠈⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⡒⠀⠔⢾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠐⣺⡟⢾⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢠⣸⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠛⠄⣘⡷⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢸⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡇⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠀⣞⠻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⠛⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠙⠁⠀⠀⢀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⡌⠹⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⡀⠀⢶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠒⢉⣏⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣾⡷⢀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢈⣩⢟⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⣼⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣸⣷⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠁⠈⢁⠨⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡱⢿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣛⣿⣿⣿⣿⣟⣩⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⣀⠀⣀⣄⣙⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡌⢻⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠒⠈⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⢙⣛⡛⣛⣉⣤⡄⣠⡿⣿⣿⣿⣿⠟⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⠻⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⠇⣿⣿⣮⣟⠿⢋⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣛⣿⣟⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡏⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠻⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⢻⡿⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣖⣿⡗⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠈⠉⠈⠉⠋⠉⠀⠤⠴⠀⠀⠀⠈⠛⣿⣿⣿⣿⣿⣿⣿⣿⠏⡿⢹⡇⢸⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣻⠿⠿⣿⢻⣿⢿⡟⣿⢟⡟⢟⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠿⠿⠿⠿⠿⠃⠀⠀⠃⠈⠛⠻⠿⠿⠿⠿⠛⠛⠛⠛⠻⠿⠧⠘⠿⠿⠒⠻⠷⠷⠷⠾⠿⠾⠾⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠠⠤⠠⠠⠤⠤⠤⠤⠤⠤⠤⠤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡷⣸⡔⢢⢆⡄⡶⠆⣯⠀⢐⢶⢰⢲⢰⢺⠀⢸⠤⡇⡷⢖⢺⢲⢲⢰⠒⣤⠂⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢉⢍⢭⣭⣭⣩⡍⣭⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠉⠈⠁⠈⠀⠈⠁⠁⠀⠈⡉⣈⣈⣈⣉⣀⣈⣀⣁⣉⣉⣈⡁⠉⠈⠀⠋⠀⠉⠙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠒⢄⣒⣴⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⣀⣀⣠⣦⣄⣀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡤⢀⣰⠅⣴⣾⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⡯⠁⣰⣾⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣄⡰⣴⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠈⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠀⢵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠄⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⠀⠤⡈⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢠⣴⢄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢀⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡀⢿⡗⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢸⣿⠐⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀ ⠀⠐⢠⠈⠰⣿⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠈⠛⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⠋⠀⠀⢀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠐⢂⡡⠟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⡀⠀⢲⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢡⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣸⡿⢠⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠘⢛⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣼⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣿⣿⣸⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠠⠀⢀⢬⠁⠸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡱⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣷⣿⣿⣿⡟⣫⣿⠏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠐⢀⢈⠀⠀⢡⣄⣙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡌⢻⣿⣿⣿⣿⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠒⠌⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢙⣟⠛⣛⣉⣤⡎⢠⡾⣿⣿⣿⣿⠟⣡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠈⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⢻⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣿⣿⣮⣟⡿⢋⣴⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣿⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣚⣿⣟⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡏⢻⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠻⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⢿⡿⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⡗⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠉⠁⠉⠙⠛⠅⠉⢡⣴⠄⠀⠀⠀⠿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⢹⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠻⣿⢻⣿⢿⡟⣿⢟⣟⣟⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠻⠿⠿⠿⠿⠇⠄⠀⠃⠈⠛⠻⠿⠿⠿⠿⠏⠛⠛⠛⠻⠿⠧⠸⠿⠿⠒⠻⠷⠷⠿⠾⠿⠾⠾⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠤⠤⠤⠤⠤⠤⠤⠤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡷⣸⡔⢢⢆⡄⡔⠄⡧⠀⢐⢲⢰⢲⢰⢺⠀⢸⠤⡇⡧⢒⢺⢢⢲⢰⠒⣤⠂⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⢍⣭⣭⣭⣭⡍⣭⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠉⠈⠁⠈⠀⠉⠁⠁⢀⡈⠉⣈⣈⣈⣉⣀⣈⣀⣁⣉⣉⣈⡉⠉⠈⠀⠋⠀⠉⠉⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⣴⣦⣾⣿⣿⣿⣿⣿⣿⣿⣟⠋⠀⣠⣤⣤⣶⣤⣀⡀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠄⣽⢭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢒⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠥⢳⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠈⠈⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠂⠀⠀⣀⣄⢊⣷⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠗⢻⠟⢿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢠⣴⣢⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢀⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢫⡍⢩⣕⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⢸⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠙⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⠋⠀⠀⢀⠈⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣝⣞⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣀⠀⢲⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠢⣼⣿⣵⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣸⣿⢀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡂⠀⠀⠀⠀⠂⠀⠀⠂⠀ ⠀⢐⢢⣬⣋⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⣼⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣷⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠁⠉⡩⢁⠸⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣛⣿⠟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠠⠦⣄⠀⠁⣄⣛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡌⢻⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⡟⣼⣿⠟⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠀⠈⠁⠀⠀⠀⠉⠙⠒⠌⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠙⣛⠛⣛⣏⣤⡍⢡⡿⣿⣿⣿⣾⠟⢡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣿⣿⣮⡟⠿⢋⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢸⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣛⣿⣟⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡟⢻⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡿⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⡗⢸⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠈⠉⠉⠙⠛⠍⠃⠡⣴⠄⠀⠀⠀⢟⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⢹⡇⢸⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣻⠟⠿⣿⢻⣿⢿⡟⣿⢟⡛⣟⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⠿⠿⠿⠿⠇⠀⠀⠃⠀⠛⠻⠿⠿⠿⠿⠇⠿⠛⠛⠿⠿⠧⠸⠿⠿⠒⠻⠷⠷⠷⠾⠿⠾⠾⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠤⠄⠤⠤⠤⠤⠤⠤⠤⠤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡷⣸⡔⢢⢆⡄⣔⡄⣇⠀⢠⣢⢰⢢⢠⢺⠀⢸⠤⡇⡧⣒⢲⢢⢢⢰⠲⣤⠂⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢉⢍⢭⣭⣭⣭⡍⢩⣩⣭⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠉⠈⠁⠈⠀⠉⠁⠉⠀⠈⡉⣈⠈⢈⣉⣀⣈⣀⣁⣉⣉⣈⣉⠉⠈⠀⠋⠀⠉⠉⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⣠⡤⣼⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⡋⠁⢀⣤⣤⣤⣶⣤⣀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⢦⣴⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠓⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠠⠀⠀⠀⠀⡄⠈⡰⣈⡛⣿⣷⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠋⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡰⠴⡯⢿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠠⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠰⣾⠄⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣶⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⡇⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀ ⠀⢠⠘⠨⠖⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠀⠈⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠋⠀⠀⢀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⣛⣖⢹⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣀⠀⢲⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠿⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣸⣿⢠⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢿⣋⢛⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣼⣿⣿⣷⣿⣿⣿⣿⣿⣿⡿⣿⣿⣷⣿⣿⣸⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠙⢁⣬⢁⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡓⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⡟⣫⣿⠟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠀⢨⣁⠀⠀⣄⣛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠻⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⠟⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠒⠌⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⢙⣛⣛⣛⣯⣤⡆⢠⡞⣿⣿⣿⣿⠟⣡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⠻⣯⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣾⣿⣾⣙⡿⢋⣴⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣶⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣾⣋⣛⣿⣟⣛⣛⣛⣛⣛⣚⣙⣻⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣾⡏⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⡿⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡗⢸⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠘⠙⠙⠉⠋⠍⠃⠡⣶⠀⠀⠀⢀⠿⠿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠹⡇⢸⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣻⠟⢻⣿⢻⣿⢿⡟⣿⢟⣛⣟⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⡵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠻⠿⠿⠿⠿⠿⠗⠂⠀⠀⠈⠭⠻⠿⠿⠿⠿⠻⠟⠙⠻⠿⠿⠧⠸⠿⠿⠒⠿⠷⠷⠿⠾⠿⠾⠾⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠤⠤⠤⠤⠤⢤⢤⣤⡤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡶⣰⡤⢄⠄⡄⣄⡄⣧⠀⢠⣠⢠⢠⢠⢸⠀⢸⠤⡇⡥⣠⢰⢠⢠⢠⠤⣀⠄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢉⢍⣭⣭⣭⣩⡍⢩⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠉⠈⠁⠈⠁⠁⠁⠉⠀⠈⠈⠈⠈⡈⠈⣀⠈⣀⣁⣉⣉⣈⣈⠉⠈⠀⠏⠀⠉⠉⠙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢠⣼⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠁⣀⣤⣤⣤⣶⣄⣀⡀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⠌⡁⢀⣤⣷⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠓⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠐⠂⠠⢄⡀⠿⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠁⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢄⡅⢼⡿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠠⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢐⠀⠀⠀⡰⡾⢧⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣶⣾⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠠⠀⡅⢸⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⡏⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⠇⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢘⠲⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠈⠁⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠋⠀⠀⢀⠂⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀ ⠀⠨⢈⣩⣽⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣀⠀⢰⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣅⠵⣬⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢰⣿⢠⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⠂⠀⠀⠀⠄⠀ ⠀⠀⠺⢻⣞⡛⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣷⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠂⣁⣉⢁⠸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣻⣿⣿⣿⣿⡿⣋⣿⡟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢁⠀⢀⣄⣙⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠻⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⠟⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠐⠌⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢙⣛⣛⣛⣏⣤⡎⢠⡜⣿⣿⣿⣿⡟⢁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⢻⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣼⣿⣾⣟⠿⠏⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣛⣿⣟⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⡟⢻⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⡿⠁⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢧⣿⡗⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠐⠉⠙⠙⠍⠉⢥⣴⠀⠀⠀⠀⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠛⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠟⠻⣿⢻⣿⢿⡟⣿⢟⣛⣟⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠹⠛⠿⠿⠿⠿⠿⠋⠀⠀⠀⠀⠛⠻⠿⠿⠿⠿⠇⠟⠙⠻⠻⠿⠧⠸⠿⠿⠒⠿⠷⠷⠿⠾⠿⠾⠾⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣦⢰⡠⢄⡄⡀⣤⡄⡆⠀⠠⣤⢠⢤⢠⢴⠀⢰⣀⡆⣦⡤⢴⢤⢤⢠⠤⣀⠄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢉⢍⢭⣭⣭⣭⡍⡩⣍⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⠙⠑⠊⠘⠁⠑⠂⠋⠀⠘⠚⠘⠘⠘⠚⠀⠘⠀⠃⠓⠚⠘⠊⠚⠘⠀⠏⠀⠈⠉⠙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠆⣠⣩⣼⣿⣴⣿⣿⣿⣿⣿⣿⣿⣿⡋⠀⣀⣠⣤⣴⣦⣀⣀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠬⢼⡴⣿⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⠀⡴⠸⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠋⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠠⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠐⠀⠱⠖⢾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣶⣇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠠⠀⢠⡬⢿⡟⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠠⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣤⢌⢳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠈⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠘⠋⠀⠀⢀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢾⠓⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣀⠀⢲⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⠈⠀⠀⠀⠀⠀ ⠀⢈⠿⡯⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣸⣿⢠⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠨⢗⣀⣉⡸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣸⣷⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠬⠁⢉⢁⠠⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣋⣿⠟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢾⢅⢀⠀⢠⣄⣛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡌⢻⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⠟⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠁⠁⠁⠀⠀⠈⠉⠉⠒⠌⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠙⣿⠟⢛⣏⣤⡍⢡⡾⣿⣿⣿⣿⡟⢡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⠻⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣾⣿⣾⣟⠿⢋⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣛⣿⣟⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣼⡟⢻⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢸⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡿⠁⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢿⡗⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠁⠉⠉⠛⠉⠁⢠⣴⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢸⡇⢸⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⢻⠛⣻⣿⢻⣿⢿⡟⣿⢟⣛⣟⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠻⠿⠿⠿⠿⠓⠀⠀⠀⠈⠛⠻⠿⠿⠿⠿⠛⠟⠛⠻⠿⠿⠣⠸⠿⠟⠲⠾⠷⠷⠟⠾⠿⠾⠾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢤⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣦⢰⡠⢄⡄⡀⣠⡄⣆⠀⠠⣤⢠⢤⢠⢴⠀⢰⣀⡆⣆⡤⢴⢄⢤⢠⠤⣀⠄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢉⢍⢭⣭⣭⣩⡍⣩⠉⣭⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⠛⠑⠊⠘⠁⠓⠂⠛⠀⠘⠚⠘⠘⠘⠚⠀⠘⠀⠃⠓⠚⠘⠚⠚⠘⠀⠏⠀⠉⠉⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠂⢠⣽⣦⣿⣾⣿⣿⣿⣿⣿⣿⣿⣟⠋⢀⣠⣤⣤⣶⣤⣄⣀⡀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣥⣾⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢂⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⣤⡴⣼⡦⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠈⠈⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠀⠀⢈⡁⢸⢶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠄⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠌⠀⢺⡟⢾⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣴⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢀⣀⠀⠀⠀⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⡀⢸⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⢸⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠂⢛⣺⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠙⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠁⠀⠀⢀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠄⢀⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢇⣄⠀⢲⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠀⣰⣿⣽⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⣼⣿⢠⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢠⣽⣿⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢀⣼⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠠⠈⠉⠈⢁⠸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡘⢿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣭⣿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢾⠂⠀⣠⣄⣛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡌⢻⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⠋⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠒⠌⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⢻⣛⣛⣋⣭⣴⡆⣠⡟⣿⣿⣿⣿⠟⣡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⠻⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣿⣿⣿⣽⡿⢋⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣛⣿⣟⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡏⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢸⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡿⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡗⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠚⠋⠙⠉⠛⠍⠃⠡⣴⠄⠀⠀⠀⢛⢿⣿⣿⣿⣿⣿⣿⣿⡟⣿⢹⡇⢸⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⢻⠛⢻⣿⢻⣿⢿⡟⣿⢟⡛⣟⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠽⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠘⠙⠛⠿⠿⠿⠿⠿⠋⠀⠀⠂⠀⠛⠿⠿⠿⠿⠿⠻⠟⠉⠙⠿⠿⠳⠸⠿⠿⠒⠾⠷⠷⠻⠾⠿⠾⠾⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠄⠄⠄⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣦⢰⡠⢄⡄⡀⡠⡀⣦⠀⠀⢄⢠⢄⢀⢴⠀⢰⣀⡆⣆⠤⢴⢄⢤⢠⠤⣀⠄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⢍⣭⣭⣭⣭⡍⣩⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⠛⠑⠊⠘⠁⠓⠂⠛⠀⠘⠚⠘⠘⠘⠚⠀⠘⠀⠃⠓⠛⠘⠚⠚⠘⠀⠟⠀⠈⠉⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⡀⣹⣴⣷⣼⣷⣿⣿⣿⣿⣿⣿⣟⠁⢀⣀⣠⣤⣶⣤⣀⣀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠀⣀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢂⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠅⢈⡄⣼⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠈⠈⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⢠⡀⢬⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠁⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠅⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠠⢠⣔⢼⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣾⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢀⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⠒⠀⢸⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢸⣿⠏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢄⡤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠉⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⠁⠀⠀⢀⠉⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢸⠿⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢃⡄⠀⢶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠀⣸⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢫⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⣼⡿⣄⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠠⠀⠀⠀⠀⠀ ⠀⠠⠶⠩⢾⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢀⣼⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣷⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠠⠷⠀⠉⢁⠐⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⢟⣹⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢲⢺⣀⡀⢀⣄⣙⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡌⢻⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠀⠀⠀⠉⠋⠒⠌⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⢛⣛⣛⣉⣭⣴⡄⣤⡻⣿⣿⣿⣿⠋⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢁⣿⣿⣾⣛⠿⢡⣾⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣶⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣼⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣛⣿⣟⣛⣛⣛⣛⣛⣛⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣿⠋⢻⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢸⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⢻⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⢻⡿⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣿⠒⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠐⠉⠉⠘⠉⠍⠋⢠⣴⠀⠁⠀⠈⠻⠿⢿⣿⣿⣿⣿⣿⣿⡇⡿⢻⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⢻⣿⢻⣿⢿⡟⣿⢟⣛⣟⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⡵⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⠿⠿⠿⠿⠟⠀⠈⠃⠘⠛⠿⠿⠿⠿⠿⠹⠛⠛⠿⠿⠿⠧⠸⠿⠟⠒⠾⠷⠷⠿⠾⠿⠾⠾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠠⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣦⢠⢀⡀⡀⠀⡀⡀⣦⠀⢀⢀⢀⢀⢀⢰⠀⢰⣀⡆⣂⢄⢠⢄⢄⢨⢬⠈⡌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⢍⣭⣭⣭⣩⡍⣩⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⠛⠑⠊⠘⠃⠛⠃⠛⠀⠘⠛⠘⠘⠘⠚⠀⠘⠀⠃⠓⠛⠘⠚⠚⠘⠀⡟⠀⠀⠉⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⣤⡤⣴⣶⣶⣸⣿⣿⣿⣿⣿⣿⣿⣟⠁⢀⣠⣤⣴⣦⣤⣀⣀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠤⣀⡀⣽⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠐⠿⢧⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠈⠈⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣥⣶⣽⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠄⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠀⠀⠪⣟⢿⣷⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣼⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢠⣀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠠⠀⠈⢲⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣾⡟⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠂⣀⣲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠉⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠙⠁⠀⠀⢀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⢛⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢃⡄⠀⢶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢶⣀⣜⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣼⣿⢀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢪⣿⣾⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢀⣾⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢼⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠛⠋⣩⢁⡐⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⢟⣩⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠨⣨⣅⠀⢠⣄⣛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣿⡿⠋⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠀⠁⠀⠀⠉⠉⠙⠒⠌⠛⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⢛⣛⣛⣛⣉⣤⡄⣠⡿⣿⣿⣿⣿⠟⣡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣿⣿⣾⡟⠿⢋⣴⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣚⣿⣟⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡟⢻⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡿⠁⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⡗⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠈⠉⠙⠉⠙⠍⠁⢡⣤⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⢸⡇⢸⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⠿⢛⣻⣿⢻⣿⢿⠟⣿⣛⣛⣛⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⡵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠟⠛⠿⠿⠿⠿⠓⠄⠀⠁⠘⠛⠿⠿⠿⠿⠿⠻⠟⠋⠛⠿⠿⠆⠼⠿⠛⠶⠾⠷⠷⠿⠾⠿⠾⠾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀ 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⠀⠀⠻⣿⣟⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢀⣾⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣸⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠉⠁⠨⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣩⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢄⢀⣄⠀⣀⣄⣛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⠋⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠒⠌⠛⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⢛⣛⢛⣛⣉⣴⡄⣤⡻⣿⣿⣿⣿⠏⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⠻⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣿⣿⣮⡿⠿⢃⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣶⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣸⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣛⣿⣟⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⠟⢻⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⢿⡿⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣖⣿⡒⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠈⠈⠈⠙⠋⠍⠁⠡⣤⠉⠀⠀⠘⢻⣿⣿⣿⣿⣿⣿⣿⣿⠟⣿⢻⡇⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠛⢻⣿⢻⣿⢿⡟⣿⢟⡛⢟⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠿⠿⠿⠿⠿⠃⠀⠀⠀⠈⠿⠻⠿⠿⠿⠿⠻⠛⠙⠛⠻⠿⠣⠸⠿⠿⠒⠿⠷⠷⠿⠾⠿⠾⠾⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠠⢀⢠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣄⢠⢀⡀⡀⠀⣀⡀⣄⠀⢀⣀⢀⣀⢀⣠⠀⢩⠉⡍⣍⣉⣩⣉⣉⢉⣉⠉⡉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢉⢍⢭⣭⣭⣩⡍⣭⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠏⠾⠣⠜⠱⠃⠫⠅⠿⠀⠰⠽⠸⠸⠸⠼⠀⠸⠉⠇⠯⠵⠸⠜⠼⠸⠀⡟⠀⠈⠉⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⢖⠀⢀⣠⣤⣤⣶⣦⣄⣀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠨⢠⠤⣶⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢈⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢐⠒⢶⠲⣿⣾⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠈⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡴⢶⡷⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣅⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢀⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠄⣠⠀⣘⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢸⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢸⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀ ⠀⠀⠚⢀⡘⣺⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠉⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⠁⠀⠀⢀⠁⠁⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣃⣟⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣀⠀⢲⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀ ⠀⠀⠀⠱⣮⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣸⣿⢀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡂⠀⠀⠀⢠⠀⠀⠀⠀⠀ ⠀⢀⢬⡷⢐⡘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣠⣾⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠠⠀⠀⠀⠀⠀ ⠀⠸⠃⠀⠨⢁⠘⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣾⣿⣿⣿⢟⣩⣿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣔⣀⠀⢠⣄⣙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡈⢻⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⡿⠋⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠂⠀⠀⠀⠀⠉⠉⠉⠒⠌⠻⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⢛⣛⣛⣛⣩⣴⡄⣤⡻⣿⣿⣿⣿⠟⣡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⠻⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢃⣿⣿⣾⣟⠿⢋⣼⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣶⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣛⣿⣟⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣿⠟⢻⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⡿⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣿⡆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠉⠉⠙⠛⠉⠁⠡⣴⠀⠀⠀⠈⢍⠿⣿⣿⣿⣿⣿⣿⣿⡏⣿⢹⡇⢸⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⡿⠛⣻⣿⢻⣿⢿⠟⣿⣛⣛⣟⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⡵⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⠿⠿⠿⠿⠃⠁⠀⠃⠘⠟⠿⠿⠿⠿⠿⠇⠟⠉⠛⠿⠿⠆⠸⠿⠟⠶⠾⠷⠷⠟⠺⠿⠾⠾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⢀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣄⢠⢀⡀⡀⠀⢀⡀⣤⠀⠀⣀⢀⣀⠀⣨⠀⢠⠉⡍⡍⣉⣩⡉⣉⢉⣉⠉⡉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢉⢍⢭⣭⣭⣭⡍⣭⣩⣭⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣪⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠏⠾⠣⠔⠱⠃⠧⠅⠿⠀⠰⠼⠸⠸⠸⠼⠀⠸⠉⠇⠯⠴⠸⠼⠼⠸⠀⡿⠀⠈⠉⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠠⣀⣰⣶⣶⣶⣴⣶⣶⣶⣶⣶⣶⣶⢖⠀⠀⣀⣤⣤⣴⣤⣀⡀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠄⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⡐⢊⡷⣾⢇⣿⣾⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠠⠼⠤⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠁⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡥⢰⣶⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣶⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⢓⡛⠭⡗⢿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⠏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⠐⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠉⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⠁⠀⠀⢈⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣀⠀⢲⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠄⠀ ⠀⠐⣖⠈⣷⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣸⣿⢀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠛⠰⢟⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢁⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣸⣷⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠚⢉⢩⢁⠸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡑⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣫⣿⠿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢄⢈⣀⠀⢠⣄⣛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠻⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣟⣾⣿⠏⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠃⠁⠁⠀⠀⠈⠁⠙⠒⠌⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠙⣛⣛⣋⣭⣤⡆⣠⡿⣿⣿⣿⣿⠟⣡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⢻⣷⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⠇⣿⣿⣮⣟⠿⢋⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣶⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣛⣿⣟⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡏⢻⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⡿⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠈⠉⠙⠙⠛⠅⠉⠥⣴⠇⠀⠀⠀⢨⣽⣿⣿⣿⣿⣿⣿⣿⠿⢸⠹⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠛⢻⣿⢻⣿⢿⡟⣿⢟⣛⣛⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠨⠵⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠁⠘⠛⠻⠿⠿⠿⠿⠇⠂⠀⠃⠈⠛⠻⠿⠿⠿⠿⠻⠛⠛⠛⠿⠿⠧⠸⠿⠟⠒⠿⠷⠷⠿⠺⠿⠾⠾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⡀⢀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣄⢠⢀⠀⡀⠀⢀⠀⣄⠀⠀⡀⢀⡀⠀⣠⠉⢡⠈⡍⡍⣉⣉⡉⡉⢉⣉⠉⡉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢉⢍⣭⣭⣭⣭⡍⣭⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠏⠾⠣⠜⠱⠃⠷⠇⠿⠀⠸⠾⠸⠸⠸⠼⠀⠸⠉⠇⠯⠶⠸⠼⠼⠸⠀⡶⠀⠉⠉⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢤⣶⣆⣶⣴⣶⣶⣶⣶⣶⣶⣶⣖⠀⢀⣤⣤⣴⣶⣤⣄⣀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠦⣆⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠗⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢈⠀⠛⢖⣵⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠈⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⢀⡂⢀⢠⢲⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠠⣸⣷⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣾⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢠⣀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⡒⢶⡟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡇⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢼⠛⡿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⠉⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠉⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀ ⠀⢠⣼⡟⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⡄⠐⢶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠨⡽⣽⣮⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢫⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⣾⡧⣄⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠐⠚⠙⣟⡚⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣷⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢁⠘⠽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣹⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⠰⢀⠀⢀⣄⣛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡘⢿⣿⣿⣿⣟⢿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⠏⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠈⠀⠀⠀⠀⠈⠁⠙⠒⠌⠛⣿⣿⣿⣿⣿⣿⣿⣿⣷⡈⠻⡿⠛⣛⣁⣬⡉⣁⢿⣿⣿⣿⣿⠟⣡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⢫⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢁⣿⣷⣯⢻⠿⢃⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣼⣿⣿⣿⣿⣷⣿⣿⣗⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣛⣿⣟⣛⣛⣛⣛⣛⣛⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣿⠛⢿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡿⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣿⡄⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠈⠉⠈⠛⠍⠉⠠⠴⠄⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⠏⣿⢻⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠿⣿⢻⣿⢿⡟⣿⢟⣟⣟⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠻⠿⠿⠿⠿⠇⠀⠀⠃⠈⠛⠿⠿⠿⠿⠿⠻⠟⠛⠻⠿⠿⠦⠸⠿⠿⠒⠾⠷⠷⠟⠾⠿⠾⠾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠠⠤⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⢐⠈⢘⠈⡛⡛⠛⢛⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⢍⣭⣭⣭⣭⡍⠩⣍⣭⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡏⢼⢎⡱⢡⠇⢟⠃⡿⠀⠸⣻⢸⢹⠸⣹⠀⢸⠀⡇⡿⡻⢹⡹⡹⢸⠉⡶⠁⠉⠉⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀⠀⣀⣤⣤⣥⣄⣀⡀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠐⠀⡘⣤⡔⢮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢐⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢤⡴⣺⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠈⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠥⢼⣿⣺⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠁⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠄⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠠⠀⠀⢱⡶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣼⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢀⡀⠀⠀⠀⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⠱⡤⢸⡝⢻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⡿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢲⡼⠾⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⠙⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⠁⠀⠀⠀⠈⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠤⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⡄⠀⢶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡬⢀⣮⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣸⣿⢀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠔⠊⢻⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢀⣼⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣷⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠠⠇⢀⣩⠀⠰⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡐⢿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣉⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢤⡎⣁⠀⢠⣄⣛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡌⢻⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⢟⣿⡿⠋⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠒⠌⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⢙⣛⣛⣋⣭⣴⡆⣠⡻⣿⣿⣿⣿⠟⣡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣿⣿⣮⣛⠿⢃⣼⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣛⣿⣟⣛⣛⣛⣛⣛⣛⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡟⢻⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡿⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⡗⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠈⠉⠉⠋⠍⠉⠡⠴⠆⠀⠀⠀⠹⠿⣿⣿⣿⣿⣿⣿⣿⡏⡿⢹⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠛⢻⣿⢻⣿⢿⡟⣿⢟⣛⣟⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⡵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⠿⠿⠿⠿⠟⠀⠀⠃⠈⠙⠻⠿⠿⠿⠿⠻⠟⠛⠿⠿⠿⠧⠸⠿⠟⠒⠾⠷⠷⠿⠾⠿⠾⠾⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⢠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⢀⠂⢙⠉⡚⡛⠛⢛⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢉⢍⢭⣭⣭⣭⡍⣭⠉⣭⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡏⢼⢎⡱⢣⠆⢟⡃⡿⠀⢨⣻⢸⢹⢸⣹⠀⢸⠒⡇⣟⣫⢹⡹⣹⢸⠉⡶⠁⠀⠉⠙⠛⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡠⠀⣠⣤⣤⣤⣥⣤⣤⣄⡀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠶⣼⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠐⠂⠀⠑⠀⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠈⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⠀⠠⡤⠴⣷⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡴⢠⡂⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢠⣀⠀⠀⠀⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡤⠺⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡏⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠈⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠀⠀⠀⢀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡐⣢⣞⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢁⡄⠀⢲⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢄⣩⣼⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⣾⡿⢀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢌⣡⢿⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢀⣾⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠠⠀⠀⠀⠀⠀ ⠀⠀⠑⠉⠩⢁⠸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⢟⣭⣿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠈⣀⣀⠀⢁⣄⣛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡌⢻⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠀⠀⠈⠁⠈⠒⠌⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢛⣛⣛⣋⣭⣴⡄⣤⡻⣿⣿⣿⣿⠏⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢃⣿⣿⣮⣻⠿⢃⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣶⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣼⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣛⣿⣟⣛⣛⣛⣛⣛⣛⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣿⠏⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢸⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠻⠿⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠈⠉⠈⠙⠋⠉⠉⠭⡴⠀⠀⠀⠀⠿⠿⣿⣿⣿⣿⣿⣿⣿⡏⣿⢹⡇⢸⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⠿⠛⣻⣿⢻⢿⢿⡟⣿⣟⡛⣟⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠵⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠿⠿⠿⠿⠿⠗⠀⠀⠃⠘⠛⠿⠿⠿⠿⠿⠼⠟⠋⠻⠿⠿⠦⠸⠿⠟⠲⠾⠷⠷⠿⠾⠿⠾⠾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⣀⠀⠐⠀⠀⠀⠀⢀⠀⢑⠛⡛⡛⠛⢛⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⢍⢭⣭⣭⣩⡍⣭⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡟⣼⢎⡡⢣⠆⣞⡃⣿⠀⢨⣻⢸⢹⢸⣹⠀⢸⠒⡇⣗⣫⢹⣹⣹⢸⠉⡶⠁⠀⠈⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⣤⠠⣤⢤⣤⣤⣤⣤⣤⣤⣤⣤⠄⣀⣤⣤⣤⣶⣥⣤⣤⣄⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⡔⡾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠐⣮⡴⢭⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡦⢶⣷⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠀⠀⠀⠀⣒⢶⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣤⡄⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠴⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⠁⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠠⠠⡼⣿⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠁⠀⠀⠀⢀⠈⠁⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⢌⡉⡨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣠⡄⠘⢶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢞⡰⢏⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣱⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣠⣿⡇⣄⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢈⣙⣞⡛⠯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⡇⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠈⣭⢁⠰⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣽⡿⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⢖⣀⠀⠠⣄⣙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠙⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⢃⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠀⠁⠀⠀⠈⠉⠙⠒⠌⠙⣿⣿⣿⣿⣿⣿⣿⣿⣧⡈⢛⣛⢛⣻⣡⣤⠀⣴⢿⣿⣿⣿⣿⠋⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⠻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⣿⣷⣝⢻⠟⣡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢟⣴⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣛⣿⣟⣛⣛⣛⣛⣛⣚⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢘⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⡿⠃⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡌⣿⠀⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠉⠘⠘⠛⠅⠉⠠⣴⠀⠀⠀⠈⠛⠿⣿⣿⣿⣿⣿⣿⣿⢿⡇⢿⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⣿⢻⢿⢿⡟⣿⢟⡿⢟⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⡵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠿⠿⠿⠿⠄⠄⠀⠀⠐⠛⠻⠿⠿⠿⠿⠸⠿⠛⠛⠻⠟⠧⠸⠿⠿⠒⠿⠷⠷⠿⠾⠿⠾⠾⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢀⠤⢤⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠂⢀⠀⢑⠋⡛⡛⠛⢛⠛⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⢍⢭⣭⣭⣩⡍⢭⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡟⣼⢎⡱⢣⠆⣎⡂⣿⠀⢠⣱⢸⢱⢰⣹⠀⢸⠒⡇⣗⣭⢹⣱⣱⢸⠉⣤⠁⠀⠉⠙⠛⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⡤⠄⠀⣠⣤⣤⣤⣥⣤⣤⣀⡀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣴⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠰⢺⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡀⠈⡁⠀⣁⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠠⠀⡤⢀⡄⢾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣶⣶⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣠⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀ ⠀⠀⣀⡀⡝⢺⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡯⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡇⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⠡⣶⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠈⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠉⠀⠀⠀⢀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⢏⠡⣛⣻⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢠⡄⠐⢶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡸⢰⢟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢱⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣁⣾⡇⣆⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⠒⢽⢏⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡷⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠌⠁⠘⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠸⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⢟⣹⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠠⠅⣀⠀⢠⣄⡛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠙⢿⣿⣿⣿⣟⢿⣿⣿⣿⣿⣿⣿⣿⢗⣿⡿⠃⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠒⢌⠛⣿⣿⣿⣿⣿⣿⣿⣿⣧⠈⠻⠿⠛⣻⣁⣬⠉⣤⢿⣿⣿⣿⣿⠏⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⢻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣿⣷⣿⣻⠿⢃⣾⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣴⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣼⣿⣿⣿⣿⣷⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣛⣿⣟⣛⣛⣛⣛⣛⣚⣙⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣿⠛⢿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢸⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⠁⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣔⣿⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠘⠉⠀⠉⠛⠉⠃⢠⣤⠈⠀⠀⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⢻⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠿⣿⢻⣿⢿⡟⣿⢟⣛⢟⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠟⠿⠿⠿⠿⠿⠗⠀⠈⠀⠸⠟⠿⠿⠿⠿⠿⠹⠿⠋⠿⠿⠿⠀⠸⠿⠟⠒⠾⠷⠷⠿⠾⠿⠾⠾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⢀⠊⠘⠋⠺⡿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⢍⢭⣭⣭⣩⡉⣭⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡗⣼⡔⡢⢂⠆⡶⡆⡿⠀⢰⢶⢰⢲⢰⢺⠀⢸⠒⡇⣖⢶⢺⢲⢲⢰⠒⣤⠂⠀⠈⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣁⣀⣀⣀⣁⣀⣈⣀⣡⣥⣡⠀⢀⣠⣤⣴⣧⣤⣤⣀⡀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠰⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠒⣹⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠈⠈⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡄⢀⡀⢴⣶⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⡀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠠⢉⣁⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣾⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢠⣀⠀⠀⠀⡀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡘⢊⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢸⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⢢⢼⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠈⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠁⠀⠀⢀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢢⢢⢞⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣄⠀⢲⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⣈⡈⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣼⣿⢠⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⣾⣻⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣼⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⣉⢁⠸⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡐⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⡟⣉⣿⠟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠰⢀⣀⠀⢠⣄⣛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡌⠻⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⢟⣾⣿⠏⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠀⠀⠈⠉⠉⠐⢌⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⢙⣛⣛⣛⣯⣤⡄⢠⡻⣿⣿⣿⣿⠟⣡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣿⣿⣾⣟⠿⢋⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣶⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣚⣿⣟⣛⣛⣛⣛⣛⣛⣙⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡟⢻⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⢻⡿⠃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡗⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠈⠁⠉⠉⠛⠍⠃⢡⣦⠀⠀⠀⠘⢻⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⠹⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⠛⣻⣿⢻⣿⢿⡟⣿⢟⣛⣟⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⠵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠻⠿⠿⠿⠿⠏⠀⠀⠀⠈⠛⠿⠿⠿⠿⠿⠹⠿⠋⠿⠿⠿⠧⠸⠿⠟⠒⠾⠷⠷⠿⠾⠿⠾⠾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⠀⠀⢀⢄⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠅⠀⠖⠲⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢉⢍⣭⣭⣭⣩⡉⣭⣭⣭⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡗⣸⡔⢢⢂⡄⡶⠆⣿⠀⢰⢶⢰⢲⢰⢺⠀⢸⠤⡇⡷⢖⢺⢲⢲⢰⠒⣤⠂⠀⠀⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠈⠈⠁⠈⠀⠈⠁⢁⣀⣈⣉⣈⣈⣀⣉⣀⣈⣀⣁⡁⠉⢈⣁⣡⣬⣴⣧⣄⣤⣤⣀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠁⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠐⠠⢀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠉⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡀⢐⡳⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠄⢰⣅⣎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢠⣄⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢴⢘⣻⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡇⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢐⢦⡜⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠀⠀⠀⢀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠐⢺⡏⢞⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢁⣄⠀⢲⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⣀⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⣾⣿⢢⡀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢡⢇⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣠⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠒⠀⣌⢁⠰⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠺⣿⣿⣿⣿⣇⣿⣿⣿⣿⡿⣻⣿⣿⣿⣿⢛⣭⣿⢋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠺⠆⣀⠀⠡⣄⣛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⣿⡿⢃⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠐⠈⠀⠁⠀⠀⠈⠉⠙⠒⠌⠻⣿⣿⣿⣿⣿⣿⣿⣿⣷⠈⣛⣛⣛⣹⣥⣴⠀⣤⡻⣿⣿⣿⣿⠋⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢰⠀⡦⢰⠄⡦⢨⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣿⣿⣮⣟⡟⢡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢿⣶⣿⣿⣷⣮⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣋⣛⣿⣟⣛⣛⣛⣛⣛⣛⣙⣻⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣿⠋⢻⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⠐⣾⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠈⠈⠉⠙⠛⠍⠉⢡⠦⠀⠀⠀⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⠇⣿⢻⠀⢹⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⠻⠛⡻⣿⢻⣿⢿⡟⣿⢟⣟⣟⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢨⡽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠙⠿⠿⠿⠿⠿⠿⠁⠀⠀⠀⠘⠛⠿⠿⠿⠿⠿⠓⠟⠛⠿⠿⠿⠧⠸⠿⠿⠒⠾⠷⠷⠷⠾⠿⠾⠾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠛⣿⣯⣽⣽⣏⣭⣭⣛⣿⣿⡿⠿⠿⠛⠋⠀⠀⠈⠉⠉⠉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠛⠉⣀⠀⠀⢼ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠤⠤⠤⠤⠤⠤⠴⠶⠶⠶⠶⠶⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⠀⠈⠀⠫⣿⣿⣻⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣿⣿⣿⣿⣿⣿⡆⣿⣿⣿⣿⣿⣿⠁⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⠀⢀⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣿⡟⣽⣿⡿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⣘⣀⣀⣸⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠫⠾⣿⣥⡿⢛⣁⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣻⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠟⠛⣉⣼⣾⡏⣿⣿⡟ ⠶⣦⣄⣀⣀⣀⣀⢀⣾⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠗⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⢠⣾⣿⣿⣿⠃⠀⠀⣰ ⣀⡀⢻⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⣠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡗⠂⠀⡍⠛⠛⢃⣀⡀⠀⠈ ⣀⣄⣸⠋⠻⠟⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢧⣠⣼⣿⣿⣿⣿⣿⣿⣿⠿ ⡿⣿⣿⡄⠀⠀⠀⣻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠙⠢⠍⠙⠛⠛⠛⠉⠉⠀⢰ ⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣰⡇⠀⢷⣀⠀⠰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠙⠈⠃⠀⠀⠀⠀⠀⣀⣤⣶⣾ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠛⠋⠀⠀⠈⠙⠛⠓⠒⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣤⡤⠤⠤⠤⠤⠚⠁⠀⠀⠀⠀⠀⠀⠀⠐⠕⡿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢈⠙⠟ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣴⣦⣶⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⢴⡤⣤⣄⡄⡄⠄⠀⠠⠀⠀⢀⢠⢀⣀⢀⠀⢀⢀⢀⠀⢀⠀⠀⠀⠀⠀⠀⣀⡠⡔⡠⡠⡉ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⣥⣤⣤⣤⣶⣦⣤⣌⡒⠠⠄⠉⠘⡀⠈⠄⠈⠀⠀⠀⠀⠐⠀⠀⠈⡀⠐⠅⡔ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣿⣿⡑⠀⢀⢀⠀⠀⢀⠀⠀⠠⠁⠁⠀⠀⠀⠀⠀⠀⠐⠘ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣛⣛⣛⣛⣛⢓⠟⠺⠗⠿⠾⠷⠿⠿⠷⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠟⠾⠿⠻⠿⠿⣿⡿⠿⣧⠀⠀⠀⠀⠀⠀⠀⠄⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⢿⠿⠿⠏⣥⣆⣿⡀⠀⠀⠀⠀⠀⠠⠀⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣭⡍⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣻⣟⣿⣿⣿⣻⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠷⠆⠶⢲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣯⣿⣽⣿⣽⣯⣭⣼⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⣼⣶⣶⡾⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣾⠶⠾⠾⠶⠿⢿⢿⢿⣿⡟⣇⠀⠚⠀⢀⠄⠁⢀⠀⠈⠀⢀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⡄⠘⢄⣢⢈⢲⠆⠆⢲⢀⢔⡀⢅⠐⠘⠀⡀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠈⣣⢾⠰⣛⣋⣳⣍⡆⢷⠰⣔⡌⡁⢡⠠ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣛⡿⠀⢠⣐⠏⢳⢴⠦⠔⠹⣙⡌⠁⠁⠈⠂⢠ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠻⠟⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠁⠀⠈⡇⠅⡫⠀⡊⠙⠢⠑⠠⠀⠄⠐⢄⣾ ⠸⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⡵⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠄⢠⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⡒⠡⡈⠅⠂⢖⠀⠀⠀⠀⠀⣀⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 3419 ╒═══════════════════ 𝐃𝐀𝐈𝐋𝐘 𝐋𝐈𝐍𝐊𝐒 ═════════════════════════════════════════════╕ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Gemini Links 19/04/2024: Kolibri OS and OpenBSD⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Apr 19, 2024 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇OpenBSD⦈_ 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈ § Contents⠀➾ * Gemini*_and_Gopher o Personal/Opinions o Technology_and_Free_Software # Internet/Gemini # Programming * § Gemini* and Gopher⠀➾ o § Personal/Opinions⠀➾ # ⚓ Earth_Abides;_Reading_Doesn't⠀⇛ Yesterday I was in a small-town library, perusing the shelves. I stumbled across the book "Earth Abides", and the title caught my attention. I'd never heard of it, but the plot summary reminded me of my favorite Jimi Hendrix song. I was onto something; apparently the book had inspired Hendrix to write "Third Stone From The Sun." (My favorite of his songs is "1983... A Merman I Should Turn To Be", which I kind of forgot was about living underwater. My next close favorite is "House Burning Down.") # ⚓ Four_day_weekend⠀⇛ Somehow my work schedule aligned so I have a 4 day weekend at home starting tomorrow. This rarely happens. My plan is just to hang out with my wife. I am in the midst of traveling home as I type this, feeling pretty zen. # ⚓ 🔤SpellBinding:_ACEFSPO_Wordo:_SHARP⠀⇛ # ⚓ Profectus_Alpha_0.6:_More_Animated_Images!⠀⇛ NOTE: Profectus is a new graphical browser for Gemini, Nex, and Scroll. # ⚓ April_19,_2024_-_Feria,_Mass_of_Preceding_Sunday,_Second Sunday_After_Easter_(W)⠀⇛ o § Technology and Free Software⠀➾ # ⚓ Kolibri_OS?⠀⇛ I heard of Kolibri OS a while back and I'm curious to know what anyone in the pub has to say about it. # ⚓ Kaleidoscope_of_opinions⠀⇛ I’m really treating this capsule as my public diary… Have I ever written that I change my opinions way too often? I’m person who constantly questions my own beliefs and opinions. So, they are easily swayed by occurring events. # ⚓ Embracing_the_universe_like_a_blazing_star⠀⇛ I have been so busy throwing myself into implementing my plans and goals for 2024 that I haven't even gotten a spare moment until just now - and, frankly, I'm just forcing a spare moment into existence by sheer force of will slash discounting the future to justify the opportunity cost - to actually sit down and tell you what those plans and goals are. Which is probably fine, because in all likelihood you don't care terribly much, but I'm going to inflict it on you anyway. I am going to be much busier than usual this whole year long, on multiple fronts, doing everything I can to cross items off a long, inter-connected TODO list with the ultimate goal of making substantial progress on the following inter-connected aims. Fair warning, the list is real, the items on it are concrete, I know full well the direction I am steaming in, but a concise and fully internally consistent written formulation of the whole shebang for public consumption is something I'm going to try to formulate on the fly right here right now, so it's not gonna be perfect, but again, that doesn't matter. # ⚓ exwm⠀⇛ Watched the [System Crafter video](https:// www.youtube.com/live/f7xB2fFk1tQ) on EXWM. I have wanted to use emacs as my window manager for a while now, but it seemed hard. Worked right away as I followed along with the video. Rad AF. # § Internet/Gemini⠀➾ # ⚓ Refining_the_quarterly_release_system⠀⇛ When I announced at the end of March that I was switching to a Hare-inspired quarterly release scheme with 0.YY.QQ numbering, YY being the year and QQ a zero-indexed quarter, I was aware that this was a little strange, arguably risky, because it didn't really allow for unscheduled bugfixes. I thought maybe I could get away with it by moving very slowly and making small changes. It hasn't taken long for this to backfire somewhat, as it has been pointed out to me that there is a bug in the new formal gemtext speficiation. Specifically, the ABNF specification indicates that a gemtext document consists of either zero or one line of gemtext, when of course it is supposed to be one or more. Thanks to Michael Nordmeyer for bringing this to my attention! # § Programming⠀➾ # ⚓ Come_for_OpenBSD,_Stay_for_Compilers⠀⇛ After sharing the beginning of my journey with OpenBSD last night, I received some very helpful and encouraging e-mails, including excellent resources. Thank you, Gemini, for all your help! I must confess that OpenBSD's installer intimidated me, at least initially. I've deployed a lot of Red Hat machines and am frankly used to a GUI. I was unsure how best to navigate configuring network settings over a command line alone. However, the installer is very easy to follow, and I quickly picked up on the flow. =============================================================================== * Gemini_(Primer) links can be opened using Gemini_software. It's like the World Wide Web but a lot lighter. ䷩ 𝚕𝚒𝚗𝚎 3612 ╒═══════════════════ 𝐃𝐀𝐈𝐋𝐘 𝐋𝐈𝐍𝐊𝐒 ═════════════════════════════════════════════╕ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Links 19/04/2024: Israel Fires Back at Iran and Many Layoffs in the US⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Apr 19, 2024 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈ § Contents⠀➾ * Leftovers o Science o Proprietary/Artificial_Intelligence_(AI) o Security # Privacy/Surveillance o Defence/Aggression o Environment # Energy/Transportation # Wildlife/Nature o Finance o Censorship/Free_Speech o Freedom_of_Information_/_Freedom_of_the_Press o Internet_Policy/Net_Neutrality o Digital_Restrictions_(DRM) o Monopolies/Monopsonies # Patents # Trademarks # Gemini*_and_Gopher # Personal/Opinions # Technology_and_Free_Software # Internet/Gemini * § Leftovers⠀➾ o ⚓ Slashdot ☛ 2024-04-14_[Older]_APT_Interface_'Revamped'_For_Ubuntu 24.10_and_Debian_Trixie_with_Colors_and_Columns⠀⇛ o § Science⠀➾ # ⚓ The Conversation ☛ 2024-04-11_[Older]_Peter_Higgs_was_one of_the_greats_of_particle_physics._He_transformed_what_we know_about_the_building_blocks_of_the_universe⠀⇛ # ⚓ The Conversation ☛ 2024-04-15_[Older]_Why_robots_can_be culturally_insensitive_–_and_how_scientists_are_trying_to_fix it⠀⇛ # ⚓ The Conversation ☛ 2024-04-15_[Older]_Five_tips_to_help_you start_new_hobbies_in_retirement⠀⇛ # ⚓ Vox ☛ 2024-04-14_[Older]_How_should_I_plan_for_retirement when_the_future_is_so_uncertain?⠀⇛ # ⚓ The Conversation ☛ 2024-04-15_[Older]_How_logic_alone_may prove_that_time_doesn’t_exist⠀⇛ # ⚓ The Conversation ☛ 2024-04-17_[Older]_The_rising_flood_of space_junk_is_a_risk_to_us_on_Earth_–_and_governments_are_on the_hook⠀⇛ # ⚓ The Conversation ☛ 2024-04-16_[Older]_Hoarding_can_start_in childhood_–_here’s_why_early_intervention_is_so_crucial_for all_age_groups⠀⇛ o § Proprietary/Artificial Intelligence (AI)⠀➾ # ⚓ Gizmodo ☛ 2024-04-12_[Older]_Tesla_Software_Update_Traps TikToker_Inside_115-Degree_Car⠀⇛ # ⚓ Jacobin Magazine ☛ 2024-04-12_[Older]_On_technological weapons,_truth,_and_how_TikTok_makes_teens_17%_more antisemitic⠀⇛ # ⚓ TruthOut ☛ 2024-04-11_[Older]_TikTok_Exposed_Youth_to Genocide_in_Gaza_—_Is_That_Why_Electeds_Want_It_Banned?⠀⇛ # ⚓ US News And World Report ☛ 2024-04-11_[Older]_Treasury Wants_to_Boost_Foreign_Investment_Review_Powers,_as_Congress Dissects_Nippon,_TikTok_Deals⠀⇛ # ⚓ IP Kat ☛ 2024-04-15_[Older]_Czech_court_finds_that_AI_tool DALL-E_cannot_be_the_author_of_a_copyright_work⠀⇛ # ⚓ Gizmodo ☛ 2024-04-15_[Older]_Apple_Pulls_Game_Boy_Emulator From_App_Store⠀⇛ # ⚓ Make Tech Easier ☛ 2024-04-15_[Older]_Game_Boy_Emulator iGBA_Removed_from_Apple_App_Store⠀⇛ # ⚓ Gizmodo ☛ 2024-04-11_[Older]_Apple_Softens_'State- Sponsored'_Cyberattack_Warnings,_Blames_Mercenaries_Instead⠀⇛ # ⚓ International Business Times ☛ 2024-04-15_[Older]_Microsoft Copilot_AI_Resumes_Auto-Launch_Testing_in_Windows_11_Startup [Ed: Microsoft desperately trying to fake usage levels of its flailing hype/bubble]⠀⇛ # ⚓ International Business Times ☛ 2024-04-17_[Older]_Microsoft Copilot_App_Mysteriously_Appears_in_Windows_Server_2022,_But Does_Nothing⠀⇛ # ⚓ The Hill ☛ UT_Austin_students_protest_layoffs_over_new_DEI ban⠀⇛ Students at the University of Texas at Austin protested Thursday after the school laid off more than 60 staff members to comply with Texas’s diversity, equity and inclusion (DEI) ban that went into effect earlier this year. About 200 students at the university disrupted a virtual faculty council meeting conducted by the university’s president Monday to oppose the layoffs, NBC News reported. # ⚓ Gannett ☛ University_of_Texas_confirms_nearly_60_workers were_laid_off,_most_in_former_DEI_positions⠀⇛ The layoffs have come as UT eliminates some programs and reorganizes its services after a state law banning diversity, equity, and inclusion offices at public universities went into effect. In addressing the employee layoffs for the first time since announcing earlier this month that the Campus and Community Engagement Division was closing, UT President Jay Hartzell took prewritten questions at a faculty council meeting on Monday and said 49 employees who had previously worked in DEI-related positions had been terminated and that eight associate or assistant deans whose work previously included related duties were returning to their faculty positions full time. # ⚓ Pax8_Layoffs_Hit_Mostly_in_North_America⠀⇛ Cloud marketplace Pax8 said it has reduced its global workforce by less than 5%, with most of the layoffs coming in North America. o § Security⠀➾ # § Privacy/Surveillance⠀➾ # ⚓ Fortune ☛ 2024-04-15_[Older]_ByteDance_Still_Receives Data_From_U.S._TikTok_Users⠀⇛ # ⚓ Gizmodo ☛ 2024-04-16_[Older]_Your_Mobile_Ad_Blocker Will_No_Longer_Stop_YouTube's_Ads⠀⇛ o § Defence/Aggression⠀➾ # ⚓ Federal News Network ☛ Since_recent_pay_raise,_fewer_feds leaving_TSA⠀⇛ The Transportation Security Administration has seen a 9% drop in attrition since the historic pay raises last year. # ⚓ The Strategist ☛ India_wants_strategic_engagement_with Southeast_Asia—but_how?⠀⇛ As India’s ‘Act East’ policy focussing on Southeast Asia moves into its 10th year, it is time for New Delhi to spell out more clearly how it aims to enhance its security and strategic partnerships [...] # ⚓ Project Censored ☛ 2024-04-12_[Older]_Corrupt_Police Officer_Candidate_for_Cook_County_Judgeship⠀⇛ # ⚓ ABC ☛ Israel-Gaza_live_updates:_Israel_retaliates_against Iran,_US_official_says⠀⇛ The missile launches follow Iran's attack last Saturday, where the country sent a volley of more than 300 uncrewed drones and missiles toward targets throughout the country, Israeli military officials previously said. All but a few were intercepted by Israel and its allies, including the United States, officials said. # § Russia, Belarus, and War in Ukraine⠀➾ # ⚓ Deutsche Welle ☛ 2024-04-17_[Older]_German_intel officer_denies_spying_for_Russia⠀⇛ # ⚓ Deutsche Welle ☛ 2024-04-17_[Older]_Russia withdrawing_from_Nagorno-Karabakh,_Kremlin_says⠀⇛ # ⚓ Deutsche Welle ☛ 2024-04-17_[Older]_Ukraine_updates: Deadly_Russian_strike_hits_Chernihiv⠀⇛ # ⚓ US News And World Report ☛ 2024-04-17_[Older] Belgium,_Czech_Republic_Want_Sanctions_for_Russian Interference_in_EU_Elections⠀⇛ # ⚓ US News And World Report ☛ 2024-04-17_[Older]_G7_Work on_Harnessing_Russian_Assets_'A_Work_in_Progress,'_US' Adeyemo_Says⠀⇛ # ⚓ US News And World Report ☛ 2024-04-17_[Older]_Germany Launches_Urgent_Appeal_to_Bolster_Ukraine's_Starved_Air Defences_Against_Russia⠀⇛ # ⚓ US News And World Report ☛ 2024-04-17_[Older]_Russia Jails_Four_Former_Prison_Officers_for_Abusing Detainees⠀⇛ # ⚓ US News And World Report ☛ 2024-04-17_[Older]_Russian Villagers_Build_Homemade_Dam_to_Keep_Out_Floods⠀⇛ # ⚓ International Business Times ☛ 2024-04-16_[Older] Russian_Blogger_Starved_Son_To_Death_By_Only_'Feeding Him_Sunlight'_Instead_Of_Food⠀⇛ # ⚓ US News And World Report ☛ 2024-04-16_[Older]_Russian Poetry_Prize_Bans_Entries_From_Transgender_People⠀⇛ # ⚓ Counter Punch ☛ 2024-04-15_[Older]_Where_Did_Vladimir Putin’s_Dream_Of_a_‘Russian_World’_Come_From?⠀⇛ # ⚓ Modern Diplomacy ☛ 2024-04-13_[Older]_United_States and_UK_Take_Action_to_Reduce_Russian_Revenue_from Metals⠀⇛ # ⚓ CPJ ☛ 2024-04-16_[Older]_Russia_orders_exiled journalist_Mikhail_Zygar’s_arrest_in_absentia⠀⇛ # ⚓ Scheerpost ☛ 2024-04-16_[Older]_Patrick_Lawrence: Could_the_Russians_Seize_Congress?⠀⇛ # ⚓ US News And World Report ☛ 2024-04-16_[Older]_Number of_Plane_Crash_Deaths_in_Russia_Hits_Decade_Low_in 2023⠀⇛ # ⚓ US News And World Report ☛ 2024-04-16_[Older]_Russia Arrests_Man_Over_'Ukraine-Backed'_Car_Bombing_of_Double Agent_in_Moscow⠀⇛ # ⚓ US News And World Report ☛ 2024-04-16_[Older] Ukrainian_President_Signs_Controversial_Law_to_Boost Conscription_to_Fend_off_Russia's_Aggression⠀⇛ # ⚓ Modern Diplomacy ☛ 2024-04-15_[Older]_Blurred_traces of_Democracy:_The_Bearish_Prospects_of_Russian_Polity⠀⇛ # ⚓ Deutsche Welle ☛ 2024-04-15_[Older]_Devastating floods_ravage_Kazakhstan_and_Russia⠀⇛ # ⚓ Deutsche Welle ☛ 2024-04-15_[Older]_Japan's_aid_for Ukraine_signals_new_distance_from_Russia⠀⇛ # ⚓ US News And World Report ☛ 2024-04-15_[Older]_Russia and_China_Trade_New_Copper_Disguised_as_Scrap_to_Skirt Taxes,_Sanctions⠀⇛ # ⚓ US News And World Report ☛ 2024-04-15_[Older] Exclusive-Russia_Restoring_Oil_Refining_Capacity Knocked_Out_by_Drones⠀⇛ # ⚓ US News And World Report ☛ 2024-04-15_[Older]_Floods Grip_Kazakhstan_and_Russia_as_Tributaries_of_Ob_Rise⠀⇛ # ⚓ US News And World Report ☛ 2024-04-15_[Older]_Russia Man_Sentenced_to_14_Years_in_Prison_for_Collaborating With_Ukraine⠀⇛ # ⚓ Deutsche Welle ☛ 2024-04-14_[Older]_Ukraine_updates: Iran,_Russia_'spreading_terror,'_Kyiv_says⠀⇛ # ⚓ International Business Times ☛ 2024-04-14_[Older] Russians_Pay_$750_For_'Luxury'_Round_Trip_Skiing_Trip in_N._Korea⠀⇛ # ⚓ US News And World Report ☛ 2024-04-14_[Older]_More Homes_in_Russia's_Orenburg_Flooded,_Water_Levels_Inch Down⠀⇛ # ⚓ US News And World Report ☛ 2024-04-14_[Older] Russian,_Iranian_Foreign_Ministers_Warn_Against_Further Escalation_in_Middle_East⠀⇛ # ⚓ US News And World Report ☛ 2024-04-14_[Older] Russia's_Kurgan_Governor_Calls_on_Residents_to_Evacuate Flooded_Areas⠀⇛ # ⚓ US News And World Report ☛ 2024-04-14_[Older]_Two Killed_by_Ukrainian_Strikes_in_Kherson_Region,_Says Russian-Installed_Official⠀⇛ # ⚓ US News And World Report ☛ 2024-04-14_[Older]_Ukraine Attack_on_Russia-Controlled_Town_Kills_16,_Official Says⠀⇛ # ⚓ US News And World Report ☛ 2024-04-14_[Older] Ukraine's_Top_Commander_Says_Russia_Aims_to_Capture Chasiv_Yar_by_May_9⠀⇛ # ⚓ Deutsche Welle ☛ 2024-04-12_[Older]_Belgium_probes Russian_'interference'_in_EU_elections⠀⇛ # ⚓ Deutsche Welle ☛ 2024-04-13_[Older]_Russia_floods: Water_level_reaches_new_high_in_Orenburg⠀⇛ # ⚓ US News And World Report ☛ 2024-04-13_[Older] Ukraine's_Military_Chief_Warns_of_'Significantly' Worsening_Battlefield_Situation_in_the_East⠀⇛ # ⚓ US News And World Report ☛ 2024-04-13_[Older]_Level of_Ural_River_in_Russia's_Orenburg_Reaches_11.83 Metres,_Say_Local_Authorities⠀⇛ # ⚓ US News And World Report ☛ 2024-04-13_[Older] Ukraine's_Army_Chief_Says_Eastern_Front_Under_Intense Russian_Assault⠀⇛ # ⚓ Deutsche Welle ☛ 2024-04-12_[Older]_As_Russia's_war drags_on,_Ukraine_tightens_mobilization_law⠀⇛ # ⚓ Deutsche Welle ☛ 2024-04-12_[Older]_China_fills Russia's_critical_war_gaps,_US_says⠀⇛ # ⚓ Deutsche Welle ☛ 2024-04-12_[Older]_Russia_floods: 'Critical'_mass_evacuations_ordered⠀⇛ # ⚓ US News And World Report ☛ 2024-04-12_[Older]_Russia- Installed_Official_Says_Six_Dead_in_Shelling_of_Town_in Occupied_Area⠀⇛ # ⚓ US News And World Report ☛ 2024-04-12_[Older]_The_US and_UK_Restrict_the_Trade_of_Russian-Origin_Metals⠀⇛ # ⚓ US News And World Report ☛ 2024-04-12_[Older]_US Intelligence_Finding_Shows_China_Surging_Equipment Sales_to_Russia_to_Help_War_Effort_in_Ukraine⠀⇛ # ⚓ US News And World Report ☛ 2024-04-12_[Older]_US_Says China_Is_Boosting_Russia's_War_Machine_in_Ukraine⠀⇛ # ⚓ US News And World Report ☛ 2024-04-12_[Older]_US,_UK Take_Action_Targeting_Russian_Aluminum,_Copper_and Nickel⠀⇛ # ⚓ Gizmodo ☛ 2024-04-11_[Older]_Russia’s_First_Post-Cold War_Rocket_Lifts_Off_from_Remote_Eastern_Launch_Site⠀⇛ # ⚓ Modern Diplomacy ☛ 2024-04-11_[Older]_China_and Russia_Renew_Anti-Western_Confrontation_and_Continue Building_Multipolar_World⠀⇛ # ⚓ Deutsche Welle ☛ 2024-04-11_[Older]_Reconstructing Ukraine,_even_as_Russian_bombs_fall⠀⇛ # ⚓ Deutsche Welle ☛ 2024-04-11_[Older]_Ukraine_updates: Russia_strikes_infrastructure_nationwide⠀⇛ # ⚓ US News And World Report ☛ 2024-04-11_[Older]_Putin Mocks_Planned_Ukraine_Conference_and_Says_Russia_Won't Accept_Any_Enforced_Peace_Plans⠀⇛ # ⚓ US News And World Report ☛ 2024-04-11_[Older]_Putin: Russia_Had_to_Attack_Ukraine_Energy_Sites_in_Response to_Kyiv's_Strikes⠀⇛ # ⚓ US News And World Report ☛ 2024-04-11_[Older]_Russia Sends_Military_Trainers_and_Air-Defence_System_to Niger,_Says_Niger_State_TV⠀⇛ # ⚓ Deutsche Welle ☛ 2024-04-10_[Older]_As_Russia's_war in_Ukraine_drags_on,_Zelenskyy's_term_is_up⠀⇛ # ⚓ The Age AU ☛ 2024-04-18_[Older]_Republic_House Speaker_faces_choice_between_losing_his_job_and_funding Ukraine⠀⇛ # ⚓ CPJ ☛ 2024-04-16_[Older]_Ukrainian_military_attempts to_intimidate_journalist_Yevhen_Shulhat,_reports_say⠀⇛ # ⚓ Deutsche Welle ☛ 2024-04-17_[Older]_EU_summit updates:_Leaders_to_discuss_Middle_East,_Ukraine⠀⇛ # ⚓ Deutsche Welle ☛ 2024-04-17_[Older]_Ukrainian_Romani people_are_facing_discrimination_in_Germany⠀⇛ # ⚓ US News And World Report ☛ 2024-04-17_[Older]_US House_Sets_Long-Awaited_Vote_on_Billions_for_Ukraine, Israel⠀⇛ # ⚓ US News And World Report ☛ 2024-04-17_[Older]_Germany Sending_More_Anti-Air_Missiles_to_Ukraine_Helps,_but_EU Must_Do_More,_Zelenskiy_Says⠀⇛ # ⚓ US News And World Report ☛ 2024-04-17_[Older]_House’s Ukraine,_Israel_Aid_Package_Gains_Biden's_Support_as Speaker_Johnson_Fights_to_Keep_His_Job⠀⇛ # ⚓ US News And World Report ☛ 2024-04-17_[Older] Pentagon_Leaders_Press_Congress_for_Ukraine_Funding, Saying_Battlefield_Situation_Is_Dire⠀⇛ # ⚓ Deutsche Welle ☛ 2024-04-16_[Older]_Ukraine's Zaporizhzhia:_How_safe_is_the_nuclear_plant?⠀⇛ # ⚓ Deutsche Welle ☛ 2024-04-16_[Older]_Ukraine_updates: Kyiv_'ran_out'_of_missiles_to_defend_plant⠀⇛ # ⚓ US News And World Report ☛ 2024-04-16_[Older] Uncertainty_Surrounds_US_Republicans'_Plan_for_Separate Ukraine,_Israel_Aid_Bills⠀⇛ # ⚓ US News And World Report ☛ 2024-04-16_[Older]_Facing a_Republican_Revolt,_House_Speaker_Johnson_Pushes_Ahead on_US_Aid_for_Ukraine,_Allies⠀⇛ # ⚓ US News And World Report ☛ 2024-04-16_[Older] Ukraine's_Zelenskiy_Signs_New_Army_Draft_Law_to Reinforce_Exhausted_Troops⠀⇛ # ⚓ NL Times ☛ 2024-04-15_[Older]_Gov't_confirms_extra billions_for_Ukraine_support_&_benefits_scandal, Groningen_victims⠀⇛ # ⚓ Deutsche Welle ☛ 2024-04-15_[Older]_Ukraine_updates: Kyiv_calls_for_'bold'_air_defense_support⠀⇛ # ⚓ US News And World Report ☛ 2024-04-15_[Older]_Ukraine Calls_for_'Bold'_Air_Defence_Support_From_Allies⠀⇛ # ⚓ US News And World Report ☛ 2024-04-14_[Older]_House Speaker_Mike_Johnson_Says_He_Will_Push_for_Aid_to Israel_and_Ukraine_This_Week⠀⇛ # ⚓ US News And World Report ☛ 2024-04-14_[Older]_More Civilians_Die_in_Ukraine_as_a_Think_Tank_Warns_Delays in_US_Aid_Will_Hamper_Kyiv's_Forces⠀⇛ # ⚓ US News And World Report ☛ 2024-04-14_[Older] Ukraine's_Zelenskiy_Condemns_Iranian_Attack,_Says Ukraine_Needs_Help,_Like_Israel⠀⇛ # ⚓ Deutsche Welle ☛ 2024-04-13_[Older]_Ukraine_says eastern_front_has_'deteriorated_significantly'⠀⇛ # ⚓ Deutsche Welle ☛ 2024-04-13_[Older]_Ukraine_updates: Germany_to_send_additional_Patriot_system⠀⇛ # ⚓ NL Times ☛ 2024-04-12_[Older]_Dutch_to_provide_extra €1_billion_in_military_aid_to_Ukraine_this_year⠀⇛ # ⚓ NL Times ☛ 2024-04-12_[Older]_Netherlands_pushing billions_into_NATO_defense_spending_standard,_Ukraine support⠀⇛ # ⚓ The Age AU ☛ 2024-04-12_[Older]_Australia_news_LIVE: Defence_minister_to_visit_Ukraine;_Morrison_pushed $500m_project_before_business_case_was_done⠀⇛ # ⚓ US News And World Report ☛ 2024-04-12_[Older]_House Speaker_Mike_Johnson_Is_Negotiating_With_White_House_to Advance_Ukraine_Aid⠀⇛ # ⚓ US News And World Report ☛ 2024-04-12_[Older]_House Speaker_Mike_Johnson_Negotiating_With_White_House_to Advance_Ukraine_Aid⠀⇛ # ⚓ NL Times ☛ 2024-04-11_[Older]_One_in_six_Ukrainian refugees_do_not_have_a_job_and_are_not_enrolled_in education⠀⇛ # ⚓ CBC ☛ 2024-04-11_[Older]_Ukraine's_new_mobilization bill_offers_no_reprieve_for_weary_troops⠀⇛ # ⚓ US News And World Report ☛ 2024-04-11_[Older]_Massive Attack_Destroys_One_of_Ukraine's_Largest_Power_Plants⠀⇛ # ⚓ Counter Punch ☛ 2024-04-10_[Older]_Gaza_and_Ukraine Exacerbate_the_Ethical_Problem_of_an_Already_Shaky International_Left!⠀⇛ o § Environment⠀➾ # ⚓ TruthOut ☛ 2024-04-16_[Older]_From_Florida_to_Australia, Global_Coral_Bleaching_Could_Soon_Be_Worst_on_Record⠀⇛ # ⚓ Jacobin Magazine ☛ 2024-04-16_[Older]_Kathy_Hochul_Is Leaving_a_Climate_Law_Off_the_NY_Budget⠀⇛ # ⚓ Scheerpost ☛ 2024-04-12_[Older]_As_Amazon_Eliminates Plastic_Packaging_Abroad,_It’s_Using_Even_More_in_the_US⠀⇛ # ⚓ Truthdig ☛ 2024-04-15_[Older]_What_Price_Should_Wealthy Nations_Pay_for_Climate_Aid?⠀⇛ # ⚓ Jacobin Magazine ☛ 2024-04-14_[Older]_Workers,_Not Technocrats,_Will_Secure_a_Sustainable_Planet⠀⇛ # ⚓ Truthdig ☛ 2024-04-12_[Older]_The_Climate_Clock_Is_Ticking in_the_Himalayas⠀⇛ # ⚓ Deutsche Welle ☛ 2024-04-16_[Older]_Germany:_Third_man joins_climate_hunger_strike_in_Berlin⠀⇛ # ⚓ US News And World Report ☛ 2024-04-17_[Older]_New_Study Calculates_Climate_Change's_Economic_Bite_Will_Hit_About_$38 Trillion_a_Year_by_2049⠀⇛ # ⚓ US News And World Report ☛ 2024-04-17_[Older]_Climate Change_Damage_Could_Cost_$38_Trillion_Per_Year_by_2050,_Study Finds⠀⇛ # ⚓ Deutsche Welle ☛ 2024-04-17_[Older]_Climate_change_to_wreck global_income_by_2050,_study_shows⠀⇛ # ⚓ Truthdig ☛ 2024-04-17_[Older]_The_Middle_East_Continues_to Fail_on_Climate_Action⠀⇛ # ⚓ Green Party UK ☛ 2024-04-15_[Older]_Green_Party_backs charities_calls_to_restore_nature⠀⇛ # ⚓ US News And World Report ☛ 2024-04-11_[Older]_More_Climate Experts_Object_to_Emissions_Target_Watchdog's_Offsets Policy⠀⇛ # ⚓ US News And World Report ☛ 2024-04-12_[Older]_Climate Targets_Group_Trustees_Seek_to_Calm_Governance_Storm⠀⇛ # ⚓ Off Guardian ☛ 2024-04-11_[Older]_Climate_Change_Court Cases_are_on_the_rise._Here’s_why.⠀⇛ # ⚓ US News And World Report ☛ 2024-04-12_[Older]_Peru's_Dengue Deaths_Triple_as_Climate_Change_Swells_Mosquito_Population⠀⇛ # ⚓ Deutsche Welle ☛ 2024-04-11_[Older]_Are_climate-neutral flights_a_realistic_scenario?⠀⇛ # ⚓ US News And World Report ☛ 2024-04-11_[Older]_European Climate_Ruling_on_Switzerland_Has_Global_Implications⠀⇛ # ⚓ University of Michigan ☛ 2024-04-12_[Older]_SEAS_hosts workshop_turning_climate_anxiety_into_climate_action⠀⇛ # ⚓ Scheerpost ☛ 2024-04-14_[Older]_A_Group_of_Women_Took Switzerland_to_Court_and_Won_the_First_Human_Rights_Case_on Climate_Change⠀⇛ # ⚓ CBC ☛ 2024-04-13_[Older]_Cattle_are_boosting_the_soil_on this_P.E.I._farm_—_and_fighting_climate_change⠀⇛ # § Energy/Transportation⠀➾ # ⚓ Fast Company ☛ More_trouble_for_Tesla:_Layoffs, severance_snafu,_and_a_painful_stock_downgrade⠀⇛ The EV maker saw its shares flirt with 52- week lows on Thursday as its troubles continued to mount. # ⚓ Modern Diplomacy ☛ 2024-04-12_[Older]_EU_Directive_to bring_down_energy_bills_and_reduce_emissions⠀⇛ # ⚓ Deutsche Welle ☛ 2024-04-12_[Older]_German_food_and energy_prices_fall,_inflation_sinks_to_2.2%⠀⇛ # ⚓ Modern Diplomacy ☛ 2024-04-13_[Older]_South_Africa Lacks_Energy_Power_in_Emerging_Multipolar_World⠀⇛ # ⚓ US News And World Report ☛ 2024-04-16_[Older]_2023 Was_a_Record_Year_for_Wind_Installations_as_World_Ramps up_Clean_Energy,_Report_Says⠀⇛ # ⚓ US News And World Report ☛ 2024-04-11_[Older]_US Surpasses_Renewable_Energy_Goal_for_Public_Lands⠀⇛ # ⚓ Mexico News Daily ☛ 2024-04-16_[Older]_Claudia Sheinbaum_pledges_to_‘accelerate’_transition_to renewable_energy_if_elected⠀⇛ # § Wildlife/Nature⠀➾ # ⚓ The Conversation ☛ 2024-04-16_[Older]_The_secret world_of_earthworms:_meet_the_tiger_worm_and_the nightcrawler⠀⇛ o § Finance⠀➾ # ⚓ Tesla_Stock_In_Free_Fall_Ahead_Of_Crucial_Q1_Earnings:_Here Are_Key_Levels_To_Watch_-_Tesla_(NASDAQ:TSLA)_-_Benzinga⠀⇛ The company’s challenges are partially due to a lack of visibility into its near-to-medium-term outlook. The Elon Musk-led company has been struggling with slowing sales volume, and efforts to boost sales have squeezed margins. # ⚓ Exclusive-UBS_shuts_some_China_private_funds,_will_lay_off staff,_sources_say⠀⇛ UBS is shutting down some of its China private funds business and will lay off one-third of the staff as the Swiss bank cuts operating costs in the country, said three sources with direct knowledge of the matter. UBS will shut up to 17 of its equity and bond private funds and return the money to the investors, out of 19 funds launched since the private fund management unit started in 2016, said two of the three sources. In China, private funds are equivalent to hedge funds and private equity funds, serving high net worth and institutional investors. # ⚓ US News And World Report ☛ 2024-04-17_[Older]_Amazon Removed_Just_Walk_Out_From_Many_of_Its_Own_Stores_but_Wants to_Sell_the_System_to_Others⠀⇛ # ⚓ Copenhagen Post ☛ 2024-04-11_[Older]_Online_banking_fraud doubles_in_one_year_–_older_women_particularly_targeted⠀⇛ # ⚓ Reuters ☛ Rivian_cuts_1%_of_workforce_in_second_round_of layoffs_this_year⠀⇛ Shares of Rivian, up as much as 3.4% on Wednesday, pared almost all of its gains after the news. The shares closed up 1% on Thursday. # ⚓ Fierce Pharma ☛ Sanofi_restructures_US_commercial_vaccine group⠀⇛ During a busy period of overhaul at Sanofi, the company is restructuring its U.S. vaccine commercial group. The company is "implementing a streamlined strategic sales structure" as the U.S. vaccine market continues to evolve, a spokesperson said. The move is "aimed at optimizing our commercial structure for greater efficiency and effectiveness," he added. "As with any change in our organization, we are providing multiple avenues of support to impacted employees, including both financial support, and outplacement assistance, as well as the opportunities to apply for the new positions," Sanofi's spokesperson said. Endpoints News first reported the development on Thursday. # ⚓ ESPN’s_Suzy_Kolber,_Other_Hosts_React_to_“Heartbreaking” Layoffs⠀⇛ ESPN personalities Suzy Kolber, Ashley Brewer and Jordan Cornette were among those taking to social media Friday to reflect on being part of the Disney-backed channel’s layoffs announced earlier in the day. # ⚓ The Independent UK ☛ Axed_Tesla_staffers_say_the_chaos_will lead_to_‘pretty_bad’_quality_only_getting_‘worse’⠀⇛ But instead at the office they were told they couldn’t drive — their job was to train the electric carmaker’s self-driving software by riding along with it as it navigated real city streets — and asked to wait around on standby until the issue was resolved. "Don’t worry about it," a manager told them. o § Censorship/Free Speech⠀➾ # ⚓ US News And World Report ☛ 2024-04-11_[Older]_What_to_Know About_Elon_Musk's_'Free_Speech'_Feud_With_a_Brazilian_Judge⠀⇛ # ⚓ US News And World Report ☛ 2024-04-13_[Older]_Some_Fear University_of_Michigan_Proposed_Policy_on_Protests_Could Quell_Free_Speech_Efforts⠀⇛ # ⚓ Jacobin Magazine ☛ 2024-04-13_[Older]_The_Speech_That_Got Me_Banned_From_Germany⠀⇛ # ⚓ NL Times ☛ 2024-04-16_[Older]_Supreme_Court:_Replacing_Star of_David_on_Israeli_flag_with_a_cockroach_is_hate_speech⠀⇛ # ⚓ TruthOut ☛ 2024-04-16_[Older]_University_of_Southern California_Cancels_Muslim_Valedictorian’s_Speech⠀⇛ # ⚓ US News And World Report ☛ 2024-04-16_[Older]_Citing Safety,_USC_Cancels_Speech_by_Valedictorian_Who_Has_Publicly Supported_Palestinians⠀⇛ o § Freedom of Information / Freedom of the Press⠀➾ # ⚓ CPJ ☛ 2024-04-17_[Older]_Ukrainian_journalists_Heorhiy Levchenko,_Anatasiya_Glukhovska_missing_since_Russia detention⠀⇛ # ⚓ US News And World Report ☛ 2024-04-17_[Older]_Widow_of Russia's_Alexei_Navalny_Hires_Bodyguard_After_Hammer_Attack on_Activist⠀⇛ o § Internet Policy/Net Neutrality⠀➾ # ⚓ Sorting_out_backup_internet_#2:_5G_modem⠀⇛ Having setup recursive DNS it was time to actually sort out a backup internet connection. I live in a Virgin Media area, but I still haven’t forgiven them for my terrible Virgin experiences when moving here. Plus it involves a bigger contractual commitment. There are no altnets locally (though I’m watching youfibre who have already rolled out in a few Belfast exchanges), so I decided to go for a 5G modem. That gives some flexibility, and is a bit easier to get up and running. I started by purchasing a ZTE MC7010. This had the advantage of being reasonably cheap off eBay, not having any wifi functionality I would just have to disable (it’s going to plug it into the same router the FTTP connection terminates on), being outdoor mountable should I decide to go that way, and, finally, being powered via PoE. For now this device sits on the window sill in my study, which is at the top of the house. I printed a table stand for it which mostly does the job (though not as well with a normal, rather than flat, network cable). The router lives downstairs, so I’ve extended a dedicated VLAN through the study switch, down to the core switch and out to the router. The PoE study switch can only do GigE, not 2.5Gb/s, but at present that’s far from the limiting factor on the speed of the connection. o § Digital Restrictions (DRM)⠀➾ # ⚓ Make Tech Easier ☛ 2024-04-16_[Older]_Amazon_Prime_Video Dealing_with_Catalog_Content_Error_Complaints⠀⇛ # ⚓ Game Rant ☛ Rumor_Claims_Target_is_Going_to_Stop_Selling Physical_Media⠀⇛ Target may be doing away with physical media for movies and video games next year, at least according to a new rumor. The discussion of whether or not physical releases still have a place in the gaming industry has only intensified in recent years, with most titles being made available to purchase digitally without having to ever step foot inside a brick-and-mortar retailer like Target. The advent of subscription gaming services like Xbox Game Pass has added a new wrinkle to the conversation, as gamers can now access an entire digital library of games for a fraction of the price of a single physical copy. § Monopolies/Monopsonies⠀➾ o ⚓ IP Kat ☛ 2024-04-14_[Older]_Book_Review:_The_Elgar_Companion_to Intellectual_Property_and_the_Sustainable_Development_Goals [Ed: Sustainable is the opposite of this lie they called "Intellectual Property" in order to completely mislead the public]⠀⇛ o ⚓ IP Kat ☛ 2024-04-16_[Older]_Meatless_in_Paris⠀⇛ o § Patents⠀➾ # ⚓ 2024-04-14_[Older]_Janssen_Pharmaceuticals,_Inc._v._Teva Pharmaceuticals_USA,_Inc._(Fed._Cir._2024)⠀⇛ o § Trademarks⠀➾ # ⚓ IP Kat ☛ 2024-04-17_[Older]_[Guest_post]_Can_a_trademarked mascot_drink,_smoke,_and_spray_graffiti_under_the_banner_of artistic_expression?⠀⇛ o § Gemini* and Gopher⠀➾ # § Personal/Opinions⠀➾ # ⚓ washing_and_anointment_of_the_feet⠀⇛ the intention of this ritual is to establish a bond of service (ideally mutual but without expectation or obligation), strength, and protection between two lovers through an act of humility. it reflects the affection one has for another, respecting both as cocreators of the relationship. it identifies a willing and acknowledged inequality in this relationship - a powerful being expressing subservience and desire to satisfy. # ⚓ Twilight_(Sunrise)_Photos,_Fairbanks,_AK,_USA,_2024- 04-17_(publ._2024-04-18)⠀⇛ Took these photos yesterday morning a few minutes before 6am AKDT on my way to work, stopping at few spots near UAF. I used the "dawn/dusk" setting on my S5300 for all these photos, cropped a few of them, and resized them all to 1920 width for a reasonable file size. # § Technology and Free Software⠀➾ # ⚓ Emacs:_Roaming_Roam_(publ._2024-04-18)⠀⇛ I feel like a big hole in the Org Roam paradigm, or at least the implementation, is how do you deal conveniently with multiple projects. I.e., you want to be able to keep your nodes segregated in some way, by project or context, but all your nodes will go into the same directory and database, creating a lot of noise during completions, or forcing you to add prefixes or such like onto node titles. # § Internet/Gemini⠀➾ # ⚓ Methods_for_expressing_emphasis_on_gemtext.⠀⇛ Anyone that might have read my blogpost about asynchronous gemini content by email, might be wandering: how did I manage to make 𝘪𝘵𝘢𝘭𝘪𝘤, and 𝗯𝗼𝗹𝗱 text apear on a gemtext documet. No it has nothing to do with gemtext markup. In fact if someone views the raw text of the article on their client, they will see that the emphasis is still there, and no markup is used to achive those effects. In fact it has nothing to do with the gemtext syntax, or how your Gemini client renders it. Those are simply utf-8 symbols, that anyone can write, and – 𝘩𝘰𝘱𝘦𝘧𝘶𝘭𝘭𝘺 – every client can support. =============================================================================== * Gemini_(Primer) links can be opened using Gemini_software. It's like the World Wide Web but a lot lighter. ䷩ 𝚕𝚒𝚗𝚎 4684 ╒═══════════════════ 𝐃𝐀𝐈𝐋𝐘 𝐋𝐈𝐍𝐊𝐒 ═════════════════════════════════════════════╕ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Links 19/04/2024: Running a V Rising Dedicated Server on GNU/Linux and More Post-"AI" Hype Eulogies⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Apr 19, 2024, updated Apr 19, 2024 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Wireless_router⦈_ 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈ § Contents⠀➾ * Leftovers o Science o Education o Hardware o Health/Nutrition/Agriculture o Proprietary/Artificial_Intelligence_(AI) o Security # Privacy/Surveillance # Confidentiality o Defence/Aggression o Transparency/Investigative_Reporting o Environment # Energy/Transportation # Overpopulation o Finance * AstroTurf/Lobbying/Politics * Censorship/Free_Speech * Freedom_of_Information_/_Freedom_of_the_Press * Civil_Rights/Policing * Internet_Policy/Net_Neutrality * Monopolies/Monopsonies o Copyrights * § Leftovers⠀➾ o ⚓ Benjamin Sandofsky ☛ Oh_the_Humanity⠀⇛ The pin shipped with fraction of the features promised at its unveiling eleven months ago, and what features that did ship fail most of the time. It's too heavy, and has atrocious battery life, with users expected to swap batteries every few hours as the device runs uncomfortably hot. Its projector is useless in daylight, and its input system is awkward and slow. For a device meant to replace your phone, you expect an experience faster than just whipping out your phone. o ⚓ Mandy Brown ☛ What_you_see_|_everything_changes⠀⇛ IN 1999, Christopher Chabris and Daniel Simons ran a simple research study: they screened a short video in which a group of people passed a basketball between them, and asked subjects to count the number of passes. At the conclusion of the video, they asked a few questions, among them: how many passes did you observe? And—did you notice the gorilla? Halfway through the video, a person in a gorilla suit had walked through the field of play. But in the initial and subsequent studies, more than half of the subjects hadn’t noticed the gorilla at all. Chabris and Simons refer to this phenomena as “inattentional blindness,” and note that we can consider it both a limiting factor of our perception, as well as a useful consequence of our ability to stay focused. That is, whether or not we are able to see something is as much a product of our attention as our eyes; just as importantly, the ability to focus on one task or object necessarily entails ignoring—even to the point of being entirely unaware of—other things that cross our path. In other words, we’re all of us, all of the time, watching out for our own version of the ball, the things that we’ve learned (or been taught) to care about, while at the same time remaining blissfully unaware of entire bands of gorillas thumping their chests before our eyes. o ⚓ Thomas Rigby ☛ Burn_folder_for_RSS_feeds⠀⇛ Earlier this year, I wrote about organising my RSS feeds to make them easier to manage. Basically, I group blogs by name alphabetically. Today I took it a step further. There are some blogs from news outlets that post a hundred times a day and it's 90% mainstream news I don't need/want to deal with when I'm super busy. o § Science⠀➾ # ⚓ USMC ☛ A_child_thought_he’d_found_a_rock_—_it_was_actually a_Marine’s_jawbone⠀⇛ With the assistance of the University of North Texas Center for Human Identification and Intermountain Forensics in Salt Lake City, a profile was developed last May and “uploaded to a portal supporting police and forensic teams with investigative comparisons, and FamilyTreeDNA, a Houston-based genetic testing company,” according to the Arizona news outlet AZ Family. # ⚓ New York Times ☛ The_Dusty_Magnets_ofthe_Milky_Way⠀⇛ A new map of the center of the Milky Way galaxy reveals details of its magnetic fields # ⚓ Reason ☛ A_Big_Panic_Over_Tiny_Plastics⠀⇛ Science can detect increasingly small particles of plastic in our air and water. That doesn't mean it's bad for you. # ⚓ Science Alert ☛ A_Gigantic_Snake_Prowled_India's_Jungles_47 Million_Years_Ago⠀⇛ Not to be messed with. # ⚓ Science Alert ☛ Prepare_Yourself._A_Massive_Wave_of_Cicadas Is_About_to_Erupt_in_The_US.⠀⇛ Two-for-one deal. # ⚓ Science Alert ☛ Could_Vitamin_D_Be_The_Secret_to_Slowing Human_Aging?⠀⇛ Here's what we know. # ⚓ Science Alert ☛ Scientists_Discover_2_Key_Brain_Systems Behind_Psychosis⠀⇛ New hope for treatments. # ⚓ Science Alert ☛ Vikings_Filed_Grooves_Into_Their_Teeth_as an_Unusual_Form_of_ID⠀⇛ Say cheese! o § Education⠀➾ # ⚓ New York Times ☛ University_of_Michigan_and_Other_Colleges Crack_Down_on_Student_Protests⠀⇛ university’s president, Santa J. Ono, issued a stern rebuke: Enough. “Like many of you, I am proud of our university’s history of protest,” he said. “But none of us should be proud of what happened on Sunday.” He announced that the school would draft a new policy to redefine what could be punished as disruptive behavior. The University of Michigan is not alone. # ⚓ Manuel Matuzović ☛ beyond_tellerrand:_One_of_my_favourite web_development_and_design_conferences_-_Manuel_Matuzovic⠀⇛ I don't attend beyond tellerrand to learn technical things I can implement in my projects afterward. Although I have to say that I always learn something because the dev talks are usually excellent. I go there for inspiration, for the conversations between talks, for the friendly atmosphere, to broaden my horizon, and most importantly, to recharge mentally. Attending a conference is exhausting: traveling, lots of walking around, listening to presentations, lack of sleep, etc. Still, BTConf somehow manages to recharge my batteries every time I'm there. # ⚓ YLE ☛ Too_much_screen_time?_School_tablet_provision_under fire⠀⇛ One month ago Munther decided to return the tablet. She said that it would not return to her home unless the family is able to limit screen time and block certain apps. "It is questionable that a school device has Minecraft and YouTube, for instance, where there is a lot of damaging material," said Munther. o § Hardware⠀➾ # ⚓ Hackaday ☛ LYFT:_Standing_Up_For_Better_IKEA_BEKANT Control⠀⇛ The IKEA BEKANT sit/stand desk is kind of a lifesaver — even if you don’t personally go between sit and stand much, the adjustability makes sharing the desk a breeze. Sharing was the case in [Matthias]’ house during the pandemic, as he and his wife took turns using the desk. Switching between their two preferred heights quickly became annoying, so [Matthias] engineered LYFT, a replacement controller that stores up to four settings. # ⚓ [Repeat] MIT Technology Review ☛ Why_it’s_so_hard_for China’s_chip_industry_to_become_self-sufficient⠀⇛ Within China, at least three companies are also developing similar insulator products. Xi’an Tianhe Defense Technology, which makes products for both military and civilian use, introduced its take on the material, which it calls QBF, in 2023; Zhejiang Wazam New Material and Guangdong Hinno-tech have also announced similar products in recent years. But all of them are still going through industrial testing with chipmakers, and few have recent updates on how well these materials have performed in mass-production settings. # ⚓ Jeff Geerling ☛ Resetting_and_upgrading_old_Hikvision_IP Cameras⠀⇛ This guide isn't definitive, but it is a good reference point as I am wiping out some Hikvision IP cameras I inherited in my new office space. They were all paired with an annoying proprietary Hikvision NVR, and I wanted to wipe them and use them on a new isolated VLAN with my new Raspberry Pi Frigate-based NVR setup. The cameras I have are Hikvision model number DS- 2CD2122FWD-IS, but this guide should apply to many of the cameras from that era. # ⚓ Boston Globe ☛ Boston_Dynamics_to_offer_commercial_version of_Atlas_robot⠀⇛ For years, the company has released wild videos of its human-shaped robot, Atlas, performing tricks such as dancing, doing back flips, and starring in a Super Bowl commercial. But the hydraulic-powered “research platform,” as the company called it, was never intended for sale. Until now. On Wednesday, Boston Dynamics announced it has created a commercial version of Atlas that will be be sold — eventually — to the manufacturing industry. The new Atlas is electric-powered and able to lift heavy items with strength exceeding an elite human athlete, the company said. The robot can also twist its body and move in ways that a human cannot, such as bending its knees backwards and spinning its torso 360 degrees. # ⚓ Matt Birchler ☛ Emulators_aren’t_new;_here’s_the_great_ones on_the_Mac⠀⇛ The core issue here is that game and the software is not even remotely new (the very popular mGBA turned 10 this year). It’s also not some sort of skeezy software category that you need to venture to the dark web to find. In fact, I would argue that some of the most impressive software I’ve ever run on my Mac and PC have been emulation apps. # ⚓ Ben Jojo ☛ Sysadmin_friendly_high_speed_ethernet switching⠀⇛ The goal that I now have is to run this relatively cheap (and power efficient at 60W) switch with as close to stock Debian as possible. That way I do not have to lean on any supplier for software updates, and I can upgrade software on the switch for as long as I need it. This does mean however that the bugs will be my responsibility (since there is no TAC to fall back on). # ⚓ SparkFun Electronics ☛ Centimeter_Level_Accuracy_and_Easy Survey-Grade_RTK_Connectivity_with_PointOne's_Polaris⠀⇛ Today Point One Nav is officially launching support for GIS product creators, surveyors, and GIS professionals on the Polaris RTK Network to reach centimeter level accuracy. See it in action with the RTK Facet! # ⚓ Hackaday ☛ Computing_Via_(Virtual)_Dominos⠀⇛ Back in 2012, [Matt Parker] and a team built a computer out of dominos for the Manchester Science Festival. [Andrew Taylor], part of the team that built the original,  has built a series of virtual domino puzzles to help explain how the computer worked. He also links to a video from the event, but be warned: the video contains some spoilers for the puzzles. If you are ready for spoilers, you can watch the video below. o § Health/Nutrition/Agriculture⠀➾ # ⚓ Science Alert ☛ WHO_Warns_Growing_Spread_of_Bird_Flu_to Humans_Is_'Enormous_Concern'⠀⇛ "The mortality rate is extraordinarily high." # ⚓ The Hill ☛ California_water_regulators_adopt_nation’s_first standard_for_‘Erin_Brockovich’_compound⠀⇛ When the State Water Board first proposed the 10 parts per billion MCL two years ago, Brockovich told The Hill that this threshold was insufficient, expressing her frustration “that nothing’s changed in 30 years.” # ⚓ Thacker_the_hack_keeps_Thacking_and_hacking⠀⇛ When I came across his latest additional hit piece on young physician Dr. Allison Neitzel, entitled Fake Physician Group Platformed Disgraced, Fake Physician Allison Neitzel on Their Fake Medical Journal Website, I debated about whether to write about Paul Thacker one more time. After all, I’ve now written three posts in the last two weeks about his brain-meltingly stupid and deceptive hit piece on young physician Dr. Allison Neitzel as somehow “not a physician” based on a pedantic, dishonest, cherry-picked legalistic definition of the word, as well as its aftermath, in which the usual suspects, including the grifting quacks at the Frontline COVID-19 Critical Care (FLCCC) Alliance, as well as much of the rest of the COVID-19 antivax quack crankosphere, amplified Thacker’s hack attack, as well as using Dr. Neitzel’s apology to the FLCCC in what appears to have been an orchestrated attack her as not credible. Of course, they didn’t mention that this apology had almost certainly come about as the result of legal bullying, the FLCCC having sent a process server to Dr. Neitzel’s apartment, a little context left out of all the posts by Thacker, the FLCCC, and its allies attacking Dr. Netizel. Then, Dr. Neitzel published a heartfelt response to Thacker, including a recounting of some of her personal history that had led her to combat misinformation, leading me to heap more deserved scorn on the FLCCC and Thacker, even as antivaxxers amplified Thacker’s attacks. o § Proprietary/Artificial Intelligence (AI)⠀➾ # ⚓ Simon Willison ☛ How_cheap,_outsourced_labour_in_Africa_is shaping_AI_English⠀⇛ Alex Hern theorizes that the underlying cause may be related. Companies like OpenAI frequently outsource data annotation to countries like Nigeria that have excellent English skills and low wages. RLHF (reinforcement learning from human feedback) involves annotators comparing and voting on the “best” responses from the models. Are they teaching models to favour Nigerian- English? It’s a pretty solid theory! # ⚓ The Guardian UK ☛ TechScape:_How_cheap,_outsourced_labour in_Africa_is_shaping_AI_English⠀⇛ I said “delve” was overused by ChatGPT compared to the internet at large. But there’s one part of the internet where “delve” is a much more common word: the African web. In Nigeria, “delve” is much more frequently used in business English than it is in England or the US. So the workers training their systems provided examples of input and output that used the same language, eventually ending up with an AI system that writes slightly like an African. And that’s the final indignity. If AI-ese sounds like African English, then African English sounds like AI-ese. Calling people a “bot” is already a schoolyard insult (ask your kids; it’s a Fortnite thing); how much worse will it get when a significant chunk of humanity sounds like the AI systems they were paid to train? # ⚓ Simon Willison ☛ AI_for_Data_Journalism:_demonstrating_what we_can_do_with_this_stuff_right_now⠀⇛ My focus in researching this area over the past couple of years has mainly been to forget about the futuristic stuff and focus on this question: what can I do with the tools that are available to me right now? # ⚓ Wired ☛ Meta_Is_Already_Training_a_More_Powerful_Successor to_Llama_3⠀⇛ Meta released two versions of Llama 3 today, one with 8 billion parameters—an industry term that roughly conveys a model’s power—and another with 70 billion parameters. LeCun said that bigger models are in the works and that the most powerful, with more than 400 billion parameters, is currently in training. # ⚓ Pi My Life Up ☛ Running_a_V_Rising_Dedicated_Server_on Linux⠀⇛ V Rising is an action role-playing survival game in which you play as a vampire. While it is possible to play this game by yourself, you can also run a server and play with up to 40 other players. Thanks to the team providing a dedicated server, it is possible to host one of those servers without keeping the game running on your machine. Unfortunately, while V Rising does not have an official Linux server, there are ways around this. In this guide, we will use a Docker container that uses Wine to run the V Rising Dedicated server. # ⚓ NYP Holdings Inc ☛ Netflix’s_True_Crime_Doc_‘What_Jennifer Did’_Accused_Of_Using_A.I._Manipulated_Images⠀⇛ What Jennifer Did, the new Netflix true crime documentary surrounding convicted murderer Jennifer Pan, quickly made its way into Netflix’s Top 10 films since its release last Wednesday (April 10). However, a new report from Futurism reveals that the doc may have employed pictures of Pan that were manipulated by artificial intelligence. # ⚓ The Telegraph UK ☛ Post_Office_Horizon_response_'could_be seen_as_cover-up',_legal_chief_admits⠀⇛ The inquiry was shown evidence of an apparent lack of effort to find out what the Post Office already knew about three bugs after they were highlighted in a 2013 report by forensic accountants Second Sight. Rodric Williams, who remains the Post Office’s head of legal for dispute resolution and brand, was asked if it was true that the Post Office had “entered a cover-up mode” in response to the report. # ⚓ Molly White ☛ AI_isn't_useless._But_is_it_worth_it?⠀⇛ As someone known for my criticism of the previous deeply flawed technology to become the subject of the tech world's overinflated aspirations, I have had people express surprise when I've remarked that generative artificial intelligence toolsa can be useful. In fact, I was a little surprised myself. But there is a yawning gap between "AI tools can be handy for some things" and the kinds of stories AI companies are telling (and the media is uncritically reprinting). And when it comes to the massively harmful ways in which large language models (LLMs) are being developed and trained, the feeble argument that "well, they can sometimes be handy..." doesn't offer much of a justification. # ⚓ Tech Central (South Africa) ☛ Telegram_to_hit_a_billion users_within_a_year,_founder_says⠀⇛ “We’ll probably cross a billion monthly active users within a year now,” Durov, who fully owns Telegram, told Tucker. The goal of the app is to remain a ‘neutral platform’ and not a ‘player in geopolitics’ The goal of the app, which has now 900 million active users, is to remain a “neutral platform” and not a “player in geopolitics”, Durov said. The Russia-born entrepreneur said he had fled Russia in 2014 citing government interference in a company he founded. o § Security⠀➾ # § Privacy/Surveillance⠀➾ # ⚓ Patrick Breyer ☛ Leak:_Privacy-friendly_and_encrypted messaging_services_are_to_be_penalised_with_chat control_bulk_scanning_orders⠀⇛ “Privacy-friendly communication services such as Protonmail which can so far be used anonymously are to become the most extremely monitored services by imposing chat control scanning on them. So far securely encrypted messenger services such as Signal are to be turned into bugs in our pockets by imposing ‘client-side scanning’,” denounces Pirate Party Member of the European Parliament and shadow rapporteur Patrick Breyer. “EU governments want to go to war against the confidentiality and security of our digital communications as such. Everything that makes up the internet and digital communication, all of the modern reality of the internet is considered a ‘risk’ and to be combatted in the opinion of the EU interior ministers. We Pirates will not stop fighting for our fundamental right to digital privacy of correspondence and secure encryption – this is exactly why we digital freedom fighters are in the EU Parliament.” # ⚓ Patrick Breyer ☛ Germany_will_not_introduce_IP_data retention_but_agrees_on_expedited_targeted_retention⠀⇛ „This decision is a success for the civil rights movement, which has been fighting for decades on the streets and in the courts against the idea of blanket collection of the entire population’s contacts, movements and Internet connections. The agreed solution focuses on effective and ad hoc data preservation. A blanket data retention of IP records would have been a frontal attack on our right to use the Internet anonymously, which countless people depend on. # ⚓ Vox ☛ Colorado_brain_data_bill:_How_a_new_law_will protect_the_privacy_of_our_thoughts⠀⇛ You may have heard that Elon Musk’s company Neuralink surgically implanted a brain chip in its first human. Dubbed “Telepathy,” the chip uses neurotechnology in a medical context: It aims to read signals from a paralyzed patient’s brain and transmit them to a computer, enabling the patient to control it with just their thoughts. In a medical context, neurotech is subject to federal regulations. But researchers are also creating noninvasive neurotech. Already, there are AI-powered brain decoders that can translate into text the unspoken thoughts swirling through our minds, without the need for surgery — although this tech is not yet on the market. In the meantime, you can buy lots of devices off Amazon right now that would record your brain data (like the Muse headband, which uses EEG sensors to read patterns of activity in your brain, then cues you on how to improve your meditation). Since these aren’t marketed as medical devices, they’re not subject to federal regulations; companies can collect — and sell — your data. Luckily, the brain is lawyering up. Neuroscientists, lawyers, and lawmakers have been teaming up to pass legislation that would protect our mental privacy. # ⚓ The Nation ☛ The_NSA_Wants_Carte_Blanche_for Warrantless_Surveillance⠀⇛ To understand the vast quantity of private data the NSA clandestinely intercepts, one only has to take a look at its massive Utah data center, more than five times the size of the US Capitol. Functioning partly as a sort of remote external hard drive, it has a storage capacity in the zettabytes—the equivalent of more than 100 million 1- terabyte personal computers. According to the data storage company Seagate Technology, “three zettabytes is enough space to hold 30 billion 4K movies—that’s so much cinema it’d take 5.4 million years to watch it! Or 60 billion video games—enough to let you enjoy nonstop gameplay for 86,700 lifetimes!” And by now the data center may have moved from zettabytes to yottabytes, beyond which names have not yet been created. But NSA is not interested in video games or Hollywood flicks; its zettabytes are for storing communications people believe—mistakenly—are private. # ⚓ US Court of Appeals, 9th Circuit ☛ United_States_v. Jeremy_Travis_Payne⠀⇛ The panel held that the CHP officers did not violate Payne’s Fifth Amendment privilege against self-incrimination when they compelled him to unlock his cell phone using his fingerprint. Payne established that the communication at issue was compelled and incriminating. The panel held, however, that the compelled use of a biometric to unlock an electronic device was not testimonial because it required no cognitive exertion, placing it in the same category as a blood draw or a fingerprint taken at booking, and merely provided the CHP with access to a source of potential information. Accordingly, the Fifth Amendment did not apply. # ⚓ NYOB ☛ Statement_on_EDPB_"Pay_or_Okay"_Opinion⠀⇛ Today, the EDPB has issued its first decision on "Pay or Okay" in relation to large online platforms such as Instagram and Facebook, as first reported by Politico. This decision prohibits Meta from using an unlawful consent request processing personal data. It seems that by now, Meta has run out of options to continue using people's data for advertising in the EU without a consent mechanism that actually complies with the law. # ⚓ The Register UK ☛ EU_tells_Meta_it_can't_paywall privacy⠀⇛ The EU's Data Protection Board (EDPB) has told large online platforms they should not offer users a binary choice between paying for a service and consenting to their personal data being used to provide targeted advertising. The EDPB opinion [PDF] published yesterday addresses whether it is valid in terms of data protection law to process personal data for the purposes of behavioral advertising in the context of "consent or pay" models as introduced by Meta. # ⚓ European Data Protection Board ☛ Opinion_08/2024_on Valid_Consent_in_the_Context_of_Consent_or_Pay_Models Implemented_by_Large_Online_Platforms:_Adopted_on_17 April_2024 [PDF]⠀⇛ The offering of (only) a paid alternative to the service which includes processing for behavioural advertising purposes should not be the default way forward for controllers. When developing the alternative to the version of the service with behavioural advertising, large online platforms should consider providing data subjects with an ‘equivalent alternative’ that does not entail the payment of a fee. If controllers choose to charge a fee for access to the ‘equivalent alternative’, controllers should consider also offering a further alternative, free of charge, without behavioural advertising, e.g. with a form of advertising involving the processing of less (or no) personal data. This is a particularly important factor in the assessment of certain criteria for valid consent under the GDPR. In most cases, whether a further alternative without behavioural advertising is offered by the controller, free of charge, will have a substantial impact on the assessment of the validity of consent, in particular with regard to the detriment aspect. With respect to the requirements of the GDPR for valid consent, first of all, consent needs to be ‘freely given’. In order to avoid detriment that would exclude freely given consent, any fee imposed cannot be such as to effectively inhibit data subjects from making a free choice. Furthemore, detriment may arise where non-consenting data subjects do not pay a fee and thus face exclusion from the service, especially in cases where the service has a prominent role, or is decisive for participation in social life or access to professional networks, even more so in the presence of lock-in or network effects. As a result, detriment is likely to occur when large online platforms use a ‘consent or pay’ model to obtain consent for the processing. # ⚓ Wired ☛ US_Senate_to_Vote_on_a_Wiretap_Bill_That Critics_Call_‘Stasi-Like’⠀⇛ Some of the nation’s top legal experts on a controversial US spy program argue that the legislation, known as the Reforming Intelligence and Securing America Act (RISAA), would enhance the US government’s spy powers, forcing a variety of new businesses to secretly eavesdrop on Americans’ overseas calls, texts, and email messages. Those experts include a handful of attorneys who’ve had the rare opportunity to appear before the US government’s secret surveillance court. The Section 702 program, authorized under the Foreign Intelligence Surveillance Act, or FISA, was established more than a decade ago to legalize the government’s practice of forcing major telecommunications companies to eavesdrop on overseas calls in the wake of the September 11, 2001, terrorist attacks. # ⚓ Patrick Breyer ☛ EU_privacy_experts_opinion_against surveillance_advertising_on_Instagram,_Facebook_and co.:_Pirates_call_on_Meta_to_give_in⠀⇛ “Meta’s privacy fee undermines the protection of privacy, presents users with a false choice and economically coerces them into consenting to extensive surveillance and exploitation of their online activities. Zuckerberg will not get away with forcing users to consent to this exploitation by making privacy unaffordable. The reason why Meta insists on an unlawful consent model is its business model based on ubiquitous tracking. Following the recommendation of the EU data protection authorities, Meta now needs to develop an alternative to its surveillance-capitalist business model, for example free access funded with contextualised and surveillance-free advertising. Meta needs to abandon its ‘pay or okay’ scheme and respect our fundamental right to use the internet anonymously!” # ⚓ EFF ☛ Fourth_Amendment_is_Not_For_Sale_Act_Passed_the House,_Now_it_Should_Pass_the_Senate⠀⇛ Everyday, your personal information is being harvested by your smart phone applications, sold to data brokers, and used by advertisers hoping to sell you things. But what safeguards prevent the government from shopping in that same data marketplace? Mobile data regularly bought and sold, like your geolocation, is information that law enforcement or intelligence agencies would normally have to get a warrant to acquire. But it does not require a warrant for law enforcement agencies to just buy the data. The U.S. government has been using its purchase of this information as a loophole for acquiring personal information on individuals without a warrant. Now is the time to close that loophole. At EFF, we’ve been talking about the need to close the databroker loophole for years. We even launched a massive investigation into the data broker industry which revealed Fog Data Science, a company that has claimed in marketing materials that it has “billions” of data points about “over 250 million” devices and that its data can be used to learn about where its subjects work, live, and their associates. We found close to 20 law enforcement agents used or were offered this tool. # § Confidentiality⠀➾ # ⚓ Nicolas Cropp ☛ Bank_security_stinks⠀⇛ Contrary to popular belief, even though banks advertise themselves as "secure" and other apps and sites tout their "bank-level security"....bank security fucking sucks. In this blog post I'll review my banks, of which I have quite the large swath, and why their security fucking sucks. o § Defence/Aggression⠀➾ # ⚓ The Register UK ☛ US_Air_Force_says_AI-controlled_F-16_has fought_humans⠀⇛ The US Air Force Test Pilot School and the Defense Advanced Research Projects Agency (DARPA) claim to have achieved a breakthrough in machine learning by demonstrating that AI software can fly a modified F-16 fighter jet in a dogfight against human pilots. The claims rest on the USAF and DARPA implementing machine learning in an X-62A VISTA, a plane built as a testbed as it can mimic the performance of other aircraft, and recognition of their work as one of four finalists for the National Aeronautic Association's 2023 Robert J. Collier Trophy, an annual award for exceptional feats of aeronautics or astronautics in America. # ⚓ Wired ☛ The_Trump_Jury_Has_a_Doxing_Problem⠀⇛ Unlike jurors in federal cases, whose identities can be kept completely anonymous, New York law allows the personal information of jurors and potential jurors to be divulged in court. Juan Merchan, the judge overseeing Trump’s prosecution in Manhattan, last month ordered that jurors’ names and addresses would be withheld. But he could not prevent potential jurors from providing biographical details about themselves during the jury selection process, and many did. Those details were then widely reported in the press, potentially subjecting jurors and potential jurors to harassment, intimidation, and threats—possibly by Trump himself. Merchan has since blocked reporters from publishing potential jurors’ employment details. # ⚓ New York Times ☛ 3_Reasons_This_Country_Is_a_Top_ISIS Recruiting_Ground⠀⇛ Hundreds of men from Tajikistan — a small, impoverished country in Central Asia controlled by an authoritarian president — have joined an affiliate of the Islamic State in Afghanistan known as the Islamic State Khorasan Province, or ISIS-K, analysts say. They point to three main reasons Tajiks are vulnerable to recruitment. # ⚓ Sightline Media Group ☛ Biden_says_uncle’s_remains_never found_during_WWII_due_to_cannibals⠀⇛ The president’s comments on cannibalism, meanwhile, are not far off. In 1992, nearly half a century after World War II, Japanese historian Toshiyuki Tanaka revealed that he had uncovered more than 100 cases of cannibalism committed by Japanese troops in Papua New Guinea. “These documents clearly show that this cannibalism was done by a whole group of Japanese soldiers, and in some cases they were not even starving,” Tanaka said. # ⚓ New York Times ☛ An_ISIS_Terror_Group_Draws_Half_Its Recruits_From_Tiny_Tajikistan⠀⇛ Many governments and terrorism experts are asking the same question. Tajik adherents of the Islamic State — especially within its affiliate in Afghanistan known as the Islamic State Khorasan Province (I.S.K.P.), or ISIS-K — have taken increasingly high-profile roles in a string of recent terrorist attacks. Over the last year alone, Tajiks have been involved in assaults in Russia, Iran and Turkey, as well as foiled plots in Europe. ISIS-K is believed to have several thousand soldiers, with Tajiks constituting more than half, experts said. # ⚓ New York Times ☛ Takeaways_From_a_Trove_of_ByteDance Records⠀⇛ Somehow, thousands of pages of sealed court documents relating to the birth of TikTok’s owner, ByteDance, were mistakenly released by a Pennsylvania court. Before they were made secret again, I read them. The documents — emails, chat transcripts and memos — are a fascinating window into ByteDance’s origins. They show that Susquehanna International Group, the trading firm of the Republican megadonor Jeff Yass, played a bigger role in the company than previously known. They also tell a new version of the ByteDance origin story, one with fits and starts on the way to becoming one of the world’s most highly valued start-ups. # ⚓ RTL ☛ Quick_recovery:_'You_are_my_son':_stabbed_Sydney bishop_forgives_attacker⠀⇛ The area is a hub for Sydney's small Christian Assyrian community, many of whom fled persecution and war in Iraq and Syria. Emmanuel has an online following of almost 200,000, courting controversy with his criticism of Covid-19 vaccines, lockdowns and Islam. # ⚓ Netzpolitik ☛ „Artificial_Intelligence“:_Automated_Warfare and_the_Geneva_Convention⠀⇛ Much attention has been focused on the bias, discrimination, and possible job losses introduced by automated technologies in the commercial space. However, understanding the use of these solutions in warfare should be at the top of such discussions: Automated Decision-making or Automated Weapons do not just automate war; they can change and shift the roles of citizens within the Geneva Conventions. # ⚓ The Register UK ☛ Europe_gives_TikTok_24_hours_to_explain its_latest_app⠀⇛ The Commission wants to understand "the potential impact of the new 'Task and Reward Lite' program on the protection of minors, as well as on the mental health of users, in particular in relation to the potential stimulation of addictive behavior." Also on the to-do list handed to TikTok is information about the measures the service adopted to mitigate such systemic risks. TikTok has reportedly said it will comply with the overnight deadline to provide its risk assessment of the Lite app, and the April 26 deadline for the other info outlined above. Which is sensible, given the DSA allows for colossal fines. # ⚓ India Times ☛ TikTok_quizzed_by_EU_on_TikTok_Lite_launch_in France,_Spain⠀⇛ The move by EU industry chief Thierry Breton under EU tech rules known as the Digital Services Act (DSA) comes two months after he opened an investigation into TikTok over possible DSA breaches. # ⚓ Site36 ☛ Flag_stress_among_Brandenburg_physicists_and fears,_that_Israeli_military_could_benefit_from_German technology⠀⇛ # ⚓ France24 ☛ 🔴_Live:_Iran_reports_'no_damage'_in_Isfahan after_suspected_Israeli_attack⠀⇛ Iran's state media reported explosions in the central province of Isfahan Friday as US media quoted officials as saying Israel had carried out retaliatory strikes on its arch-rival. No damage was caused in the overnight attack, a senior Iranian army commander told state TV. Israel had previously warned it would hit back after Iran fired hundreds of missiles and drones at Israel over the weekend. # ⚓ Reason ☛ Elica_Le_Bon:_Is_War_with_Iran_Coming?⠀⇛ Elica Le Bon, an attorney and Iranian-American activist, talks about Iran's recent strike on Israel on the latest episode of Just Asking Questions. # ⚓ France24 ☛ What_we_know_so_far_about_the_explosions reported_in_central_Iran⠀⇛ Iran's state media reported explosions in the central province of Isfahan on Friday, raising fears of a possible Israeli strike in retaliation for Tehran's unprecedented drone-and-missile assault on the country. Here's what we know so far. # ⚓ RFERL ☛ Israel_Reportedly_Launches_Retaliatory_Attack_On Iran⠀⇛ Israel has launched an attack in Iran, U.S. media reported quoting U.S. government officials, in what appears to be retaliatory strikes for the unprecedented air attack Tehran launched last weekend on its sworn enemy. # ⚓ TwinCities Pioneer Press ☛ Iran_fires_air_defense_batteries at_Isfahan_air_base_and_nuclear_site_after_drones_spotted⠀⇛ Iran has fired air defenses at a major air base and a nuclear site near its central city of Isfahan after spotting drones. The commotion early Friday raised fears of a possible Israeli retaliatory strike following Tehran’s unprecedented drone-and- missile assault on the country. It was unclear if the country had come under attack, as no Iranian official directly acknowledged the possibility and Israel’s military did not respond to a request for comment. However, tensions have remained high in the days since the Saturday assault on Israel amid its war on Hamas in the Gaza Strip and its own strikes targeting Iran in Syria. U.S. officials declined to comment as of early Friday, but American broadcast networks quoting unnamed U.S. officials said Israel carried out the attack. # ⚓ New York Times ☛ Reaction_to_Israel’s_Strike_in_Iran_Plays Down_Significance⠀⇛ In Israel, officials described the strike as a limited response designed to avoid escalating tensions. Iran state television said military and nuclear facilities were safe. # ⚓ France24 ☛ How_Israel_could_respond_to_Iran’s_drone_and missile_assault⠀⇛ Although the US has said that it would not take part in any retaliatory strike from Israel in response to Iran’s largely thwarted salvo over the weekend, the Biden administration’s “ironclad” support for the country could still prompt Israel to launch a direct attack on Iranian soil – with potentially disastrous results. # ⚓ IT Wire ☛ Google_sacks_28_staff_over_Israel_cloud_contract protest⠀⇛ Israel has been engaged in military action against the Palestinian extremist group Hamas after the latter killed about 120 Israelis in a raid on 7 October. Since then, Israel has killed more than 30,000 Palestinians, including extremists. # ⚓ LRT ☛ US-led_military_exercise_Saber_Strike_kicks_off_in Lithuania⠀⇛ Saber Strike, a military exercise organised by the US Armed Forces, kicks off in Lithuania on Friday. # ⚓ The Straits Times ☛ US_aims_to_begin_new_North_Korea sanctions_monitoring_regime_by_May⠀⇛ This came after Russia and China thwarted the renewal of monitoring activities. # ⚓ Marcy Wheeler ☛ WaPo_Gives_Bill_Barr_Platform_to_Attack_Joe Biden_without_Mentioning_Barr’s_Role_in_Framing_Biden⠀⇛ If you're going to make a big deal about Bill Barr supporting Trump in this year's election, at least mention that the side channel Barr set up for Russian disinformation on Hunter Biden in 2020 ended up framing Joe Biden. # § Russia, Belarus, and War in Ukraine⠀➾ # ⚓ The Straits Times ☛ EU_sees_signs_China_supplying dual-use_components_to_Russia⠀⇛ US officials said China was providing to Russia materials including drones and missile technology. # ⚓ Site36 ☛ Under_arrest_for_sabotage_plans:_Two Russian-Germans_allegedly_planned_attacks_on_behalf_of the_Kremlin⠀⇛ # ⚓ Meduza ☛ Foreign_agents:_the_movie_Russian_state_TV airs_fear-stoking_‘investigative_film’_about_exiled opposition_figures_and_journalists_—_Meduza⠀⇛ # ⚓ Meduza ☛ Despite_a_nationwide_labor_shortage,_Russian regions_are_further_restricting_the_types_of_jobs migrants_can_hold_—_Meduza⠀⇛ # ⚓ Meduza ☛ Kremlin_refuses_to_join_debate_over_research center_named_for_Hitler-sympathizing_philosopher_whom Putin_has_called_one_of_his_favorites_—_Meduza⠀⇛ # ⚓ Atlantic Council ☛ Putin’s_plan_to_depopulate Ukraine⠀⇛ Vladimir Putin's new plan for victory in Ukraine appears to rely on a strategic bombing campaign to render entire regions of the country uninhabitable, writes Peter Dickinson. # ⚓ European Commission ☛ Commission_allocates_additional €10_million_to_support_researchers_from_Ukraine_under Horizon_Europe⠀⇛ European Commission Press release Brussels, 18 Apr 2024 The Commission has topped up the budget of the MSCA4Ukraine initiative, set up to support researchers forced to flee Ukraine, with an additional €10 million. # ⚓ European Commission ☛ Opening_remark's_of Commissioner_Várhelyi_at_‘Ukraine's_future_summit'⠀⇛ # ⚓ Latvia ☛ Russian,_Belarusian_foodstuffs_could_be banned_from_public_procurement⠀⇛ Food and beverages are currently not included on the list of European Union sanctions against Russia and Belarus for their part in the invasion of Ukraine, but lawmakers in Latvia are considering the possibility of introducing measures at a national level to restrict their availability, at least in the sphere of public procurement. # ⚓ NYPost ☛ House_committee_advances_bipartisan_$95B foreign_aid_package_for_Israel,_Ukraine_and_Taiwan⠀⇛ In a rare move, Democrats in the minority on the House Rules Committee joined with Republicans in the majority to vote 9-3 on the passage of further military assistance funding and humanitarian aid for war-torn Ukraine and Israel, as well as vulnerable Taiwan. # ⚓ Atlantic Council ☛ Your_primer_on_the_US_House security_bills_for_Ukraine,_Israel,_the_Indo-Pacific, and_more⠀⇛ Our experts share their insights on what’s in the pending legislation and why it matters for US national security. # ⚓ Atlantic Council ☛ Grassroots_diplomacy_can_help unlock_international_support_for_Ukraine⠀⇛ Washington State’s ambitious new Sister State Agreement with Kyiv Oblast offers an attractive model that others can follow, both in the US and beyond, writes Benton Coblentz. # ⚓ France24 ☛ Ukraine_has_'urgent_need'_for_air_defence, says_NATO_chief_Stoltenberg⠀⇛ NATO Secretary General Jens Stoltenberg said Thursday that Ukraine had an "urgent, critical need for more air defence", at a G7 foreign ministers' meeting on the Italian island of Capri. # ⚓ France24 ☛ Moldovan_youth_is_more_than_ready_to_join the_EU⠀⇛ Brussels opened accession negotiations with Moldova in December 2023 – at the same time as Ukraine. Moldova’s youth is ready to break from its Soviet past and step into a European future. # ⚓ JURIST ☛ Poland_authorities_arrest_suspect_in_alleged Russia_plot_to_assassinate_Ukraine_president⠀⇛ The National Prosecutor’s Office of Poland announced Thursday that it brought charges against a man suspected of espionage for Russia and involvement in an alleged plot to assassinate Ukrainian President Volodymyr Zelensky. The investigation was carried out by both Ukrainian and Polish agencies. # ⚓ JURIST ☛ Germany_arrests_two_German-Russian_citizens suspected_of_preparing_sabotage_attacks⠀⇛ German federal prosecutors announced on Thursday the arrest of two German-Russian nationals suspected of spying and planning sabotage attacks on US military targets in an attempt to undermine military support for Ukraine. Reacting to this, German Foreign Minister Annalena Burbock summoned the Russian ambassador to the Foreign Ministry for an explanation. # ⚓ LRT ☛ Lithuanian_president_says_‘double_standards’_in play_in_Western_support_to_Israel,_Ukraine⠀⇛ Lithuanian President Gitanas Nausėda has said European countries and the US are using “unacceptable double standards” in their different approach to providing aid to Israel and Ukraine. # ⚓ RFERL ☛ Zelenskiy_Calls_For_More_Air_Defenses_After Deadly_Ukraine_Strike⠀⇛ President Volodymyr Zelenskiy has again appealed to Ukraine's Western allies and partners to urgently supply his embattled country with more air defense systems following more deadly Russian missile strikes on April 19 on Ukrainian cities and critical energy infrastructure. # ⚓ RFERL ☛ Two_Arrested_In_Germany_For_Planning_Sabotage In_Favor_Of_Russia⠀⇛ Two men with dual German-Russian citizenship have been arrested in Germany for allegedly plotting acts of sabotage aimed at undermining military support for Ukraine, the German prosecutor's office reported on April 18. # ⚓ RFERL ☛ 'Send_Them_To_Ukraine':_EU's_Borrell_Urges Europeans_To_Donate_Air_Defense_Systems⠀⇛ The EU's foreign policy chief called on EU member states to give Ukraine more air defense systems as the embattled country grapples with increasingly intense Russian air strikes on its infrastructure while its stocks of weapons and ammunition dwindle as critical U.S. aid remains stuck in Congress. # ⚓ teleSUR ☛ US_Aid_to_Ukraine_Not_to_Change_Situation in_the_Front:_Russia⠀⇛ This week the U.S. House of Representatives will consider a new 61-billion-aid bill for Ukraine. # ⚓ New Yorker ☛ Did_Mike_Johnson_Just_Get_Religion_on Ukraine?⠀⇛ The Speaker’s sudden willingness to bring foreign-aid bills to the House floor risks his Speakership—and Trump’s wrath. # ⚓ CS Monitor ☛ Rifts_in_both_parties_as_Congress_weighs aid_to_Ukraine,_Israel⠀⇛ Lawmakers face growing political pressure from their parties over aid to Israel and Ukraine. Some say politics have obscured serious security debates. # ⚓ New York Times ☛ In_Unusual_Vote,_Democrats_Rescue Measure_to_Allow_Vote_on_Ukraine_Bill⠀⇛ A resolution to pave the way for the foreign aid package was on track to die in committee amid Republican opposition when Democrats stepped in to save it. # ⚓ New York Times ☛ How_Mike_Johnson’s_Plan_for_Aid_to Ukraine,_Israel_and_Taiwan_Would_Work⠀⇛ The speaker, facing resistance from fellow Republicans, has devised a strategy for steering aid to Ukraine and Israel through the House. The key vote will take place before any of it hits the floor. # ⚓ New York Times ☛ Germany_Arrests_2_Men_Suspected_of Spying_for_Russia⠀⇛ The two men, dual citizens of both countries, were accused of being part of a plot to undermine aid to Ukraine by trying to blow up military infrastructure. # ⚓ Latvia ☛ Saeima_backs_moving_away_from_Russian language_in_schools⠀⇛ The Saeima on April 18 supported amendments to the Education Law in the second reading, which plan to stipulate that students will be able to refuse to learn Russian as a second foreign language, LETA reports. # ⚓ LRT ☛ Two_people_detained_on_suspicion_of_attacking Russian_opposition_activist_in_Vilnius⠀⇛ Two people have been detained in Poland on suspicion of attacking Russian opposition activist Leonid Volkov in Vilnius, Lithuanian President Gitanas Nausėda announced on Friday. # ⚓ LRT ☛ Lithuania_moves_to_ban_TV_from_Russia,_Belarus as_long_as_they_‘pose_threat’⠀⇛ Radio and television programmes produced by companies registered in Russia and Belarus are to be banned in Lithuania for as long as these countries are deemed a threat to national security. # ⚓ LRT ☛ European_court_rejects_Kirkorov’s_case_against Lithuania_entry_ban⠀⇛ The European Court of Human Rights (ECtHR) has decided to reject a complaint from Russian pop star Philipp Kirkorov against the migration authority’s decision to ban him from entering Lithuania. # ⚓ LRT ☛ Lithuanian_president_calls_for_tariffs_on Russian_food_to_make_it_‘uncompetitive’⠀⇛ Lithuanian President Gitanas Nausėda has called for higher tariffs on Russian and Belarusian agricultural products to make their imports in the EU uncompetitive. # ⚓ RFERL ☛ Russian_Prosecutors_Appeal_Suspended_Sentence For_Ex-Memorial_Chief⠀⇛ Prosecutors in the Russian city of Perm on April 18 appealed a local court decision to hand a three-year suspended prison term to Aleksandr Chernyshov, the ex-chief of the Center of Historic Memory, the successor entity of the Memorial human rights group. # ⚓ RFERL ☛ Bashkir_Activist_Alsynov_Loses_Appeal_Against Four-Year_Prison_Term⠀⇛ The Supreme Court of Russia's Baskortostan region on April 18 rejected the appeal filed by Bashkir activist Fail Alsynov against a four-year prison sentence he was handed in January on a charge of inciting hatred that he and his supporters call politically motivated. # ⚓ RFERL ☛ Russian_Hypersonic-Flight_Expert_Gets_7_Years On_Treason_Charge⠀⇛ A court in St. Petersburg on April 18 sentenced Aleksandr Kuranov, the former head of an institute researching hypersonic flight, to seven years in prison on a charge of high treason. # ⚓ RFERL ☛ After_6_Months_In_Russian_Detention,_RFE/RL Journalist_Still_Making_Sense_Of_It_All⠀⇛ For some 25 years, Alsu Kurmasheva worked as a journalist at Radio Free Europe/Radio Liberty’s Tatar-Bashkir Service. Then, six months ago, as she says, “in an instant, it turned into a crime.” # ⚓ RFERL ☛ Russian-American_Fined_For_Supporting Navalny's_Foundation⠀⇛ The Memorial human rights groups says that a court in Russia's western city of Oryol ordered Russian-American citizen Ilya Startsev to pay 400,000 rubles ($4,240) on a charge of financing an extremist group. # ⚓ The Straits Times ☛ North_Korea,_Belarus_deputy foreign_ministers_agree_to_strengthen_ties⠀⇛ They discussed bilateral cooperation in the economy and culture as well as mutual support on the global stage. # ⚓ New York Times ☛ An_ISIS_Terror_Group_Draws_Half_Its Recruits_From_Tiny_Tajikistan⠀⇛ Young migrants from the former Soviet republic were accused of an attack on a concert hall in Moscow that killed 145 people. o § Transparency/Investigative Reporting⠀➾ # ⚓ International Business Times ☛ Tesla_Cybertruck Whistleblower_Revealed:_Vehicle_Issues_Similar_To_Model_S Issues_10_Years_Ago⠀⇛ Balan's disclosures about safety concerns align with recent drone footage capturing a backlog of unfinished Cybertrucks at the Texas factory. This incident coincides with Musk's announcement that about 14,000 Tesla workers will be laid off, citing sluggish electric vehicle sales. o § Environment⠀➾ # ⚓ Omicron Limited ☛ Q&A:_Why_are_we_drowning_in_single-use plastics,_and_what_can_we_do_about_it?⠀⇛ Every year, the world produces nearly 400 million tons of plastic, a 19,000% increase from 1950. The amount is forecast to double by 2050 and 90% is never recycled. Over half of the plastics produced are used only once, for things like packaging, utensils and straws. # ⚓ Omicron Limited ☛ Fourteen_years_after_the_Gulf_of_Mexico oil_spill,_endemic_fishes_face_an_uncertain_future⠀⇛ The 2010 Gulf of Mexico Deepwater Horizon was the largest accidental oil spill in history. With almost 100 million gallons (379 million liters) of oil combined with dispersants suggested to remain in the Gulf, it is one of the worst pollution events ever. More than a decade later, its long- term effects are still not fully understood. # ⚓ American Academy of Neurology ☛ Two_Hunters_from_the_Same Lodge_Afflicted_with_Sporadic_CJD:_Is_Chronic_Wasting_Disease to_Blame?_(P7-13.002)⠀⇛ In 2022, a 72-year-old man with a history of consuming meat from a CWD-infected deer population presented with rapid-onset confusion and aggression. His friend, who had also eaten venison from the same deer population, recently died of CJD, raising concerns about a potential link between CWD and human prion disease. Despite aggressive symptomatic treatment of seizures and agitation, the patient’s condition deteriorated and he died within a month of initial presentation. The diagnosis was confirmed postmortem as sporadic CJD with homozygous methionine at codon 129 (sCJDMM1). The patient’s history, including a similar case in his social group, suggests a possible novel animal- to-human transmission of CWD. Based on non-human primate and mouse models, cross-species transmission of CJD is plausible. Due to the challenge of distinguishing sCJDMM1 from CWD without detailed prion protein characterization, it is not possible to definitively rule out CWD in these cases. Although causation remains unproven, this cluster emphasizes the need for further investigation into the potential risks of consuming CWD-infected deer and its implications for public health. # ⚓ Ruben Schade ☛ What_plastics_really_recycle:_myths⠀⇛ Clara and I have been very deliberate about the plastic we bring into our home now, to the point where we’ll pay significantly more for less food because it doesn’t come wrapped in redundant rubbish. We do the whole thing of buying refills instead of newer containers, even though it’s often messy or a massive pain. We’ve swapped hand soap for bars, and stopped buying certain foods altogether. # ⚓ [Old] CBC ☛ Recycling_was_a_lie_—_a_big_lie_—_to_sell_more plastic,_industry_experts_say_|_CBC_Documentaries⠀⇛ Although activists sounded the alarm about plastic waste in the 1970s, the documentary claims from 1990 to 2010, plastic production more than doubled. We've been sorting our trash for decades, believing it would be recycled. But the truth is the vast majority of the plastic we use won't be. Over the last seven decades, less than 10 per cent of plastic waste has been recycled. # ⚓ The Conversation ☛ The_rising_flood_of_space_junk_is_a_risk to_us_on_Earth_–_and_governments_are_on_the_hook⠀⇛ The outer space treaty of 1967 says that the country that authorised the launch (known as the “launching state”) is responsible for damage caused to people or things on Earth. The UN’s liability convention, which came into force in 1972, also makes this liability absolute for damage on Earth or to aircraft in flight. The concept of absolute liability means that responsibility applies regardless of whose fault it was. Countries are also liable for spacecraft and rocket sections launched by private companies. This is because article 6 of the outer space treaty makes nations responsible for the activities of their citizens in outer space. # § Energy/Transportation⠀➾ # ⚓ Tech Central (South Africa) ☛ No_load_shedding_for three_weeks_-_and_counting⠀⇛ “Load shedding will continue to be suspended until further notice. This follows a period of 21 consecutive days and, as of midday today, 535 hours without load shedding,” Eskom said in a statement. # ⚓ Deccan Chronicle ☛ Railways_marks_171_years_of service_in_India⠀⇛ On April 16, 1853, India inaugurated its first passenger train service, marking the beginning of the country's enduring railway legacy. Over the course of 171 years, the Indian Railways has evolved into the preeminent mode of transportation in the country. It facilitates the commute of 1.8 crore passengers. One of the largest rail networks in the world, Indian Railways connects 7,000 railway stations. It operates 16,000 trains criss- crossing the country’s length and breadth through its 1.35 lakh kilometre of rail track. The Indian Railways is the largest employer with a workforce of 14 lakh people. # ⚓ DeSmog ☛ Liz_Truss_Book_Calls_for_Climate_Laws_to_be Abolished_and_Boasts_of_Effort_to_Cancel_UK_COP Summit⠀⇛ The new book by former Prime Minister Liz Truss urges the UK, U.S. and EU to drop their landmark climate change laws, spreads falsehoods about green policies, and fondly recalls an attempt to cancel a major climate conference. Truss, who is the Conservative MP for South West Norfolk, resigned as prime minister in October 2022 after just 49 days in office. # ⚓ DeSmog ☛ Pathways_Alliance_Paid_Google_to_Advertise on_‘Greenwashing’_Searches⠀⇛ A major Canadian oil sands group has been running advertisements on Google that target people seeking information about oil industry “greenwashing,” the practice by which companies make false and misleading environmental promises.  The Pathways Alliance is a marketing and lobbying organization representing the country’s six largest oil sands producers: Imperial Oil, Suncor, ConocoPhillips, Cenovus, CNRL and MEG. # § Overpopulation⠀➾ # ⚓ CS Monitor ☛ Mexico_falls_shorts_on_1944_treaty_to provide_Texas_farms_with_water⠀⇛ Under the treaty designed to allocate shared water resources, Mexico is required to send 1.75 million acre-feet of water from the Rio Grande to the United States over a five-year cycle. Now in year four, Mexico has sent only about 30% of its expected deliveries, the lowest amount at this point of any four- or five- year cycles since 1992, according to data from the International Boundary and Water Commission (IBWC), which oversees the treaty. o § Finance⠀➾ # ⚓ LRT ☛ Despite_windfall_tax,_Lithuania’s_banks_see_profits double⠀⇛ Banks operating in Lithuania earned a net profit of 986 million euros last year, twice as much as in 2022 (491 million euros), according to unaudited data released by the Bank of Lithuania on Thursday. # A fire broke out at Lithuania’s Medininkai border checkpoint with Belarus in the early morning on Thursday. One customs employee was injured in the fire. * § AstroTurf/Lobbying/Politics⠀➾ o ⚓ CNBC ☛ AI_startup_Stability_lays_off_10%_of_employees_after_CEO exit⠀⇛ Stability AI made more than 20 of its employees redundant to "right-size" the business after a period of unsustainable growth, according to an internal memo obtained by CNBC. o ⚓ The Register UK ☛ Stability_AI_decimates_staff_just_weeks_after CEO_leaves⠀⇛ The layoffs come as the startup - best known for its work on the Stable Diffusion text-to-image generation model - scrambles to get its spending under control, even as it releases updated models and features. On Wednesday Stability rolled out API access to its third-generation Stable Diffusion model, presumably in bid to bring in new business from apps built atop the service. o ⚓ The Atlantic ☛ The_new_rules_of_political_journalism⠀⇛ This past weekend, I was on a panel at the annual conference of the International Symposium on Online Journalism, in beautiful downtown Austin. Several journalists discussed the question: Are we going to get it right this time? Have the media learned their lessons, and are journalists ready for the vertiginous slog of the 2024 campaign? My answer: only if we realize how profoundly the rules of the game have changed. Lest we need reminding, this year’s election features a candidate who incited an insurrection, called for terminating sections of the Constitution, was found liable for what a federal judge says was “rape” as it is commonly understood, faces 88 felony charges, and—I’m tempted to add “etcetera” here, but that’s the problem, isn’t it? The volume and enormity of it all is impossible to take in. o ⚓ India Times ☛ India’s_bumper_Apple_harvest;_GCCs_go_wider_to_hunt talent⠀⇛ By the numbers: Apple contributed 65%, or about $10 billion, double the $5 billion of phone exports from India in FY23 when the US major became the first smartphone brand to achieve this feat. o ⚓ India Times ☛ Apple_says_it_wants_to_spend_more_on_suppliers_in Vietnam⠀⇛ Apple Inc wants to boost its investment in Vietnam, state media quoted the US tech giant's CEO Tim Cook as saying in Hanoi on Tuesday, a day after the US company said it wanted to increase spending on suppliers in the Southeast Asian nation. Vietnam is already a key manufacturing hub for Apple and Cook was speaking while meeting Vietnamese Prime Minister Pham Minh Chinh, state media reported. o ⚓ The Register UK ☛ Google_laying_off_staff_again,_moving_some roles_to_'hubs'⠀⇛ The headcount cuts are being reported as "pretty large- scale" with some roles being moved abroad, including to lower cost job locations – borrowing from the playbook used by many legacy tech services vendors. Numbers have not been confirmed. Ruth Porat, CFO at Google parent Alphabet, told staff in a memo – seen by CNBC – that the plan is to create hubs to centralize ops for finance teams in Bangalore, Mexico City, Dublin, Chicago, and Atlanta. o ⚓ NDTV ☛ Google_Lays_Off_Employees,_Shifts_Some_Roles_Abroad_Amid Cost_Cuts⠀⇛ Google let go of hundreds of workers across multiple teams in January including its engineering, hardware and assistant teams as the company ramps up investment and builds its artificial intelligence offerings. Listen to the latest songs, only on JioSaavn.com Company CEO Sundar Pichai reportedly told employees at the start of the year to expect more job cuts. o ⚓ Wired ☛ Tesla's_Layoffs_Won't_Solve_Its_Growing_Pains⠀⇛ For many employees, the layoffs were a surprise. On Friday, Angela’s boss told her how great she was doing at her job, selling Teslas direct to customers in the US state of Georgia. Three days later, her role had been eliminated, effective immediately. “I expected more from Tesla, to at least give people a week or two’s heads-up,” says Angela, who requested to use a pseudonym in case she gets the chance to work for Tesla again. Angela says 40 percent of her team was laid off, and in shock. Around 14,000 people received that same email, which blamed rapid growth for the duplication of job roles. “We have done a thorough review of the organization and made the difficult decision to reduce our headcount globally,” the email said. o § Misinformation/Disinformation/Propaganda⠀➾ # ⚓ RFA ☛ Tibetan_political_leader_‘optimistic’_about_passage of_US_bill_on_Tibet⠀⇛ The Promoting a Resolution to the Tibet-China Dispute Act, also known as the Resolve Tibet Act, was passed by the U.S. House of Representatives on Feb. 15. The bill, which also empowers the State Department to counter disinformation on Tibet, was unanimously approved by the U.S. Senate Foreign Relations Committee on Tuesday, advancing the bill to the Senate floor. * § Censorship/Free Speech⠀➾ o ⚓ FAIR ☛ ‘I_Knew_They_Had_Fabricated_a_False_Narrative’:_Interview with_Estela_Aranha_on_'Twitter_Files_Brazil'⠀⇛ Libertarian pundit Michael Shellenberger on April 3 tweeted a series of excerpts from emails by X executives, dubbed “Twitter Files Brazil”, which alleged to expose crimes by Brazilian Supreme Court Justice Alexandre de Moraes. Moraes, he claimed, had pressed criminal charges against Twitter Brazil‘s lawyer for its refusal to turn over personal information on political enemies. Elon Musk quickly shared the tweets and they viralized and were embraced by the international far right, to the joy of former President Jair Bolsonaro and his supporters. o ⚓ The Nation ☛ The_Cop_City_Defendants_Are_Done_Being_Silent⠀⇛ “Speaking out is a really contentious and dangerous thing to do,” Dupuis says from their parents’ home in Massachusetts. (While defendants must return to Atlanta for trials, some were required to leave the state while the case is ongoing). “The prosecution loves to use people’s words against them. And so silence is the safest option. I reached a point where I didn’t want to take the safest option anymore.” o ⚓ Michael Geist ☛ Debating_the_Online_Harms_Act:_Insights_from_Two Recent_Panels_on_Bill_C-63⠀⇛ The Online Harms Act has sparked widespread debate over the past six weeks. I’ve covered the bill in a trio of Law Bytes podcast (Online Harms, Canada Human Rights Act, Criminal Code) and participated in several panels focused on the issue. Those panels are posted below. First, a panel titled the Online Harms Act: What’s Fact and What’s Fiction, sponsored by CIJA that included Emily Laidlaw, Richard Marceau and me. It paid particular attention to the intersection between the bill and online hate. o ⚓ El País ☛ A_‘tropicalized_Taliban_regime’_and_a_family_succession plan_underway:_Ortega_and_Murillo_radicalize_repression_in Nicaragua⠀⇛ Since 2018, the Nicaraguan police have stepped up repression every April, when citizens and government opponents commemorate the mass social protests that broke out against the regime of President Daniel Ortega and his wife, Vice President Rosario Murillo, and were crushed by a brutal paramilitary and police crackdown. This year is no different. Police have detained five people and increased their activities in the country’s main capital cities. The individuals arrested are relatives of protesters who died in the police crackdown and released political prisoners. o ⚓ Hong Kong Free Press ☛ HK_Tiananmen_vigil_activists_lose_bid_to challenge_convictions_at_top_court⠀⇛ Chow Hang-tung, a human rights lawyer and the former vice-chair of the Hong Kong Alliance in Support of Patriotic Democratic Movements, the group that once organised the city’s annual candlelight vigils in remembrance of the 1989 Tiananmen crackdown, represented herself in court on Wednesday. o ⚓ Deutsche Welle ☛ 'Not_safe':_Saudi_Arabia_slammed_after_jailing football_fans⠀⇛ "These laws have egregious sentences for basic freedom of expression issues," Joey Shea, Saudi Arabia researcher for Human Rights Watch, told DW. "Anything that can be interpreted as destabilizing the state or insulting the country's leaders can come with very big sentences that can be meted out. And, ultimately, it can be a political decision to decide which fans and which speech is cracked down upon. It's a really terrifying scenario." o ⚓ El País ☛ Salman_Rushdie’s_memoir_recounts_the_attack_that_almost killed_him:_‘I_just_stood_there_like_a_piñata_and_let_him_smash me’⠀⇛ It happened in August 2022, when the Indian-born, British-American author was about to give a talk in Chautauqua, in upstate New York. An assailant named Hadi Matar (in the book he prefers to call him only A.) ran on stage and stabbed Rushdie, who was standing in an amphitheater that could seat 4,000 people. Out of the corner of his right eye he perceived a man dressed in black, wearing a balaclava and running towards him. He was paralyzed, and still wonders why to this day. o ⚓ RFERL ☛ Taliban_Pulls_2_TV_Channels_For_'Violating_Islamic Values'⠀⇛ Two Afghan television channels have been taken off the airwaves for "violations against Islamic and national values," a spokesman for the Taliban-led government said on April 18. [...] * § Freedom of Information / Freedom of the Press⠀➾ o ⚓ Scheerpost ☛ CIA_Director_Claims_Lawsuit_Against_Alleged_CIA- Backed_Spying_on_Assange_Visitors_Could_Damage_US_Security⠀⇛ Four Americans, two attorneys and two journalists, allege that the CIA and CIA Director Mike Pompeo directed UC Global, a Spanish security company, to carry out a spying operation against Assange that violated their privacy. UC Global allegedly copied the contents of their electronic devices and provided the data to the CIA. o ⚓ El País ☛ US_provides_minimal_assurances_that_Assange_will_not_be sentenced_to_death_if_extradited⠀⇛ “The United States has issued a non-assurance in relation to the first amendment [the possibility that Assange could benefit from the right to freedom of expression enshrined in the U.S. Constitution], and a standard assurance in relation to the death penalty,” Stella Assange said in a statement on social media, shared as soon as she learned of the document delivered to the High Court. “Instead, the U.S. has limited itself to blatant weasel words claiming that Julian can ‘seek to raise’ the first amendment if extradited.” o ⚓ teleSUR ☛ London_Court_to_Resume_Assange_Extradition_Trial_in May⠀⇛ If, after hearing the arguments from both sides, the court accepts those assurances, Assange could be extradited to the U.S., which is charging him with 18 counts of espionage and computer intrusion due to the revelations from his WikiLeaks platform. However, if the court rejects them, the 52-year-old Australian could appeal his extradition in another legal process, which the British government already approved in 2022. o ⚓ RFERL ☛ Iranian_Journalist_Arrested_After_Recounting_Assault_By Morality_Police⠀⇛ Ghalibaf, a journalist and student of political science at Tehran’s Beheshti University, disclosed details of her arrest by law enforcement on April 15 for defying the compulsory hijab law, including that she was sexually assaulted during her detention. She was subsequently re- arrested by intelligence forces and taken to an undisclosed location. * § Civil Rights/Policing⠀➾ o ⚓ Pro Publica ☛ Movie_Exec_Ryan_Millsap_Sent_Racist,_Antisemitic Texts,_Records_Show⠀⇛ When Ryan Millsap arrived in Atlanta from California a decade ago, the real estate investor set his sights on becoming a major player in Georgia’s booming film industry. In just a few years, he achieved that, opening a movie studio that attracted big-budget productions like “Venom,” Marvel’s alien villain, and “Lovecraft Country,” HBO’s fictional drama centered on the racial terror of Jim Crow America. As he rose to prominence, Millsap cultivated important relationships with Black leaders and Jewish colleagues and won accolades for his commitment to diversity. But allegations brought by his former attorney present a starkly different picture. In private conversations, court documents allege, Millsap expressed racist and antisemitic views. o ⚓ EFF ☛ Two_Years_Post-Roe:_A_Better_Understanding_of_Digital Threats⠀⇛ Although many activists fighting for reproductive justice had been operating under assumptions of little to no legal protections for some time, the Dobbs decision was for most a sudden and scary revelation. Everyone implicated in that moment somewhat understood the stark difference between pre-Roe 1973 and post-Roe 2022; living under the most sophisticated surveillance apparatus in human history presents a vastly different landscape of threats. Since 2022, some suspicions have been confirmed, new threats have emerged, and overall our risk assessment has grown smarter. Below, we cover the most pressing digital dangers facing people seeking reproductive care, and ways to combat them. A case in Nebraska resulted in a woman, Jessica Burgess, being sentenced to two years in prison for obtaining abortion pills for her teenage daughter. Prosecutors used a Facebook Messenger chat log between Jessica and her daughter as key evidence, bolstering the concerns many had raised about using such privacy-invasive tech products for sensitive communications. At the time, Facebook Messenger did not have end-to-end encryption. o ⚓ Techdirt ☛ Cops_Claim_Body_Cam_Footage_Of_Wrong_Address_Raid Would_Be_‘Dangerous’_To_Release_To_General_Public⠀⇛ Cops continue to wonder why people don’t trust them. Go figure. o ⚓ Hamilton Nolan ☛ Killing_the_Middlemen_in_the_Rideshare Industry⠀⇛ Last month, the Minneapolis City Council passed a law guaranteeing a minimum wage for rideshare drivers in the city. In response, Uber and Lyft, being the caring employers that they are, announced that they would pull out of the city when the law takes effect on May 1. State politicians are still scrambling to find a compromise to appease the companies—but Forman and The Drivers Cooperative saw an opportunity. TDC is now one of several companies trying to fill the gap that would be left by Uber and Lyft’s exit. If successful, they could pave the way for the creating of the first major US city to move its rideshare business to a fully cooperative model, cutting out the middlemen and setting drivers up for a better living. I talked to Forman about the TDC’s plans, its efforts to change one of the most nakedly extractive industries in the world for the better, and what you can do to help. o ⚓ YLE ☛ Thursday's_papers:_Finnish_children_on_phones,_Olympic uniform_designs,_and_rage-inducing_Finglish⠀⇛ Väntönen pointed out that this is even enshrined in law in her state of Maryland, which states that children under the age of eight cannot be unattended at home or in a car. o ⚓ France24 ☛ Violent_arrests_seen_in_Iran_as_'morality_patrols' resume_in_nationwide_crackdown⠀⇛ Iran’s supreme leader, Ali Khamenei, has made pointed remarks about hijab in two recent speeches. On April 3, he said: “Hijab is a Sharia-based obligation that must not be abrogated [...] Hijab is also a legal obligation, and everyone must respect the law.” A week later, on April 10, he repeated in another speech: “We do not want to impose religion on anyone, but we will fight non- conformism”. These speeches were apparently the cue for Ahmad-Reza Radan, the Islamic Republic's national police chief. A former military officer known for years for his brutal imposition of hijab rules, Radan announced in a press release on April 11 that police would crack down on women without a hijab. “Women must wear a hijab as it should be worn, otherwise the police will confront them according to the hijab law,” he said, adding that the crackdown would begin April 13. His office issued a statement on April 14 saying that hijab patrols had started nationwide. * § Internet Policy/Net Neutrality⠀➾ o ⚓ Techdirt ☛ Biden’s_New_Net_Neutrality_Rules_Don’t_Prevent_Anti- Competitive_“Fast_Lanes”⠀⇛ One of the key reasons the net neutrality fight even became a thing was widespread concern that big ISPs would abuse their power to behave anti-competitively, picking winners and losers across the internet ecosystem, and nickel-and-diming consumers in a variety of obnoxiously creative ways. o ⚓ Techdirt ☛ No,_TikTok_Is_Not_‘Programmable_Fentanyl.’_Stop_It⠀⇛ What do Fentanyl and TikTok have in common? Well, the real answer is absolutely nothing. Nothing at all. But, if you want to push a nonsense moral panic, apparently, you compare the two. o ⚓ Zimbabwe ☛ Africa's_Digital_Divide:_The_Case_of_.africa_Top-Level Domain⠀⇛ At first glance, one might assume that the .africa TLD would be predominantly utilized by African nations and entities to showcase their presence on the internet. However, the reality is quite different. Only 9 .africa TLD registrars are on the African continent. Europe has some 40 .africa registrars. North America has 13. France, with all its colonial issues has double what SA has and 3 short of the entire continent. Africa’s engagement with its own digital identity is alarmingly low! o ⚓ Tech Central (South Africa) ☛ It's_time_to_share_scarce_spectrum in_South_Africa⠀⇛ South Africa, like many nations, faces a growing challenge: the ever-increasing demand for wireless data is straining the limited resource of radio frequency spectrum. Cellular networks, Wi-Fi and other wireless technologies all rely on this spectrum to function, and with data consumption doubling every two years, the pressure is on to use this resource more efficiently. § Monopolies/Monopsonies⠀➾ * ⚓ Riley Testut ☛ Introducing_AltStore_PAL⠀⇛ I’m thrilled to announce a brand new version of AltStore — AltStore PAL — is launching TODAY as an Apple-approved alternative app marketplace in the EU. AltStore PAL is an open- source app store made specifically for independent developers, designed to address the problems I and so many others have had with the App Store over the years. Basically, if you’ve ever experienced issues with App Review, this is for you! * § Copyrights⠀➾ o ⚓ New York Times ☛ Taylor_Swift’s_‘The_Tortured_Poets_Department’ Arrives⠀⇛ The pop superstar’s latest album was preceded by a satellite radio channel, a word game, a return to Fentanylware (TikTok) and an actual library. For her fans, more is always welcome. o ⚓ Wired ☛ How_One_Author_Pushed_the_Limits_of_AI_Copyright⠀⇛ The USCO’s notice granting Shupe copyright registration of her book does not recognize her as author of the whole text as is conventional for written works. Instead she is considered the author of the “selection, coordination, and arrangement of text generated by artificial intelligence.” This means no one can copy the book without permission, but the actual sentences and paragraphs themselves are not copyrighted and could theoretically be rearranged and republished as a different book. o ⚓ Torrent Freak ☛ Ex-Mangamura_Owner_Must_Pay_$11m_to_Publishers; He_Says_He_Won't⠀⇛ A court in Japan has ordered the former operator of pirate site Mangamura to pay 1.7 billion yen ($11m) in damages to manga publishers Shogakukan, Kadokawa, and Shueisha. In 2021, Romi Hoshino received a three-year prison sentence after a criminal prosecution but in a subsequent civil action, the publishers hoped to recoup millions in damages. Commenting outside the Tokyo District Court on Thursday, Hoshino was clear: "I have no intention of paying anything." o ⚓ Torrent Freak ☛ Uptobox_Was_Shut_Down_in_2023;_A_Court_Will Decide_Whether_to_Resurrect_It⠀⇛ Downtime at file-hosting platform Uptobox last September was initially described as a serious technical problem. It soon became apparent that several major Hollywood studios, StudioCanal, Apple and Amazon, had obtained a court order to seize Uptobox servers hosted at two cloud hosting companies. Seven months later, Uptobox's Dubai- based owner has just tried to convince a court that Uptobox should be resurrected. ╘══════════════════════════════════════════════════════════════════════════════╛ ¶ Lines in total: 7140 ➮ Generation completed at 02:49, i.e. 21 seconds to (re)generate ⟲