𝕿𝖊𝖈𝖍𝖗𝖎𝖌𝖍𝖙𝖘 Bulletin for Thursday, November 02, 2023 ┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅┅ Generated Fri 3 Nov 02:49:59 GMT 2023 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/2023/11/02/ ╒═══════════════════ 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 - Buying Apple PCs to Run GNU/Linux is a Bad Idea (It Always Was) ⦿ Techrights - Free Software Spreading Like Fire (GNU/Linux at 8% "Market Share" on the Client Side Now, Not Counting Mobile) ⦿ Techrights - The Negative Consequences from Clicking on “I Agree”- Understanding App, Social Media, and AI Terms of Service ⦿ Techrights - [Video] Daily Bulletins Now Compatible With the New Site ⦿ Techrights - Yleisradio Oy (Yle) Acting Like a Microsoft Mouthpiece (Legacy of Mikael Jungner is Likely) ䷼ Bulletin articles (as HTML) to comment on (requires login): https://news.techrights.org/n/2023/11/02/Buying_Apple_PCs_to_Run_GNU_Linux_is_a_Bad_Idea_It_Always_Was.shtml https://news.techrights.org/n/2023/11/02/Free_Software_Spreading_Like_Fire_GNU_Linux_at_8_Market_Share_o.shtml https://news.techrights.org/n/2023/11/02/The_Negative_Consequences_from_Clicking_on_I_Agree_Understandin.shtml https://news.techrights.org/n/2023/11/02/_Video_Daily_Bulletins_Now_Compatible_With_the_New_Site.shtml https://news.techrights.org/n/2023/11/02/Yleisradio_Oy_Yle_Acting_Like_a_Microsoft_Mouthpiece_Legacy_of_.shtml ䷞ Followed by Daily Links (assorted news picks curated and categorised): https://news.techrights.org/n/2023/11/02/Links_02_11_2023_Conde_Nast_Splunk_Layoffs.shtml ䷩ 𝚕𝚒𝚗𝚎 59 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2023/11/02/Buying_Apple_PCs_to_Run_GNU_Linux_is_a_Bad_Idea_It_Always_Was.shtml Gemini version at gemini://gemini.techrights.org/n/2023/11/02/Buying_Apple_PCs_to_Run_GNU_Linux_is_a_Bad_Idea_It_Always_Was.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Buying Apple PCs to Run GNU/Linux is a Bad Idea (It Always Was)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Nov 02, 2023 Reprinted with permission from Ryan_Farmer. Why You Shouldn’t Buy a Mac for Linux. Meanwhile, on the Fediverse, I found this. 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇A Mac for Linux⦈ 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇A Mac for Linux 2⦈ Buy a Mac! Run Linux on the piece of shit! It’ll be FUN! Just when I got done complaining about the Lenovo firmware garbage, with just two examples, Apple_proves_why_they’re_not_a_real_option. In the more serious of these two cases, they can’t even reliably update RecoveryOS, which is sort of like the “Recovery WIM” partition in Windows-land. It’s where you usually end up if your computer is fucked, and I think it can do some things to repair macOS or get a fresh copy on your computer by downloading one from Apple. The trouble with Apple’s buggy software is that when they screw up RecoveryOS it’s no longer safe to install Asahi Linux, and it wouldn’t be able to recover macOS either, likely, and you’d have to just take it to an Apple store and hope they do something for you. Maybe even charge you even though it was because of their bug. There are many bugs in Apple products, especially their most recent releases, and a lot of these are firmware bugs. They’re in there using the “Apple Tax” on their shareholder dividends and marketing, and I really don’t think their computers are a lot higher quality than a Lenovo. And it was these Asahi Linux people that were a major push for Rust support in the Linux kernel. Almost the only project using it much is to get Apple hardware working, when all of the effort is most likely futile anyway. Apple has gone from m68k, to ppc, to x86, to arm, and if they want to do it again they will. They don’t support anything. Even when they were on x86, they pointlessly dropped 32-bit x86 application support for no reason. If you say something is the way to run programs, you ought to support it for decades unless it was simply so horrible it’s impossible to live with. Apple didn’t have to do that to their Intel Mac customers, they just dropped it with no warning a few years ahead of getting off x86 because they’re Apple. Things like this, and all of these ridiculous bugs, are why Apple computers will never be anything beyond a joke. They pissed Ken Thompson (one of the inventors of UNIX, and C) off enough to just move from a Mac to Linux on a Raspberry Pi, and that’s before the RPi 5 came out with 4 times as much processing power, double the RAM, and better graphics. Once you put Linux on a Mac, you’ve still got a bad computer. The drivers are reverse engineered, and do not support the majority of Linux applications. They are particularly deficient in graphics, where you’re stuck with OpenGL ES. Not even real OpenGL. Just a deprecated subset that might be useful for a dumb Android phone game. On a desktop, almost completely useless except maybe for desktop effects. From my understanding, you don’t get real OpenGL, and you sure as Hell don’t get Vulkan. The hardware may not even support Vulkan. In my testing with Intel Xe GPUs, the Vulkan renderers on games usually run in the ballpark of twice as fast as the OpenGL ones. You couldn’t run really expect to run Yuzu, the Nintendo Switch emulator, on OpenGL ES on Linux on a Mac. First off, they’d have to write a new renderer, then they’d have to port the program itself to the M series CPUs, and it’s a pretty tall order, and is likely to happen on some new RPi before a Mac ever becomes a viable development target. Someone asked about Yuzu on a Mac with Linux, and the answer was “Port it yourself. There’s source code.” and that’s where the conversation stopped. I run Yuzu every day almost, on a 2020 Lenovo laptop. People who develop Linux programs like these do it because they’re using hardware that is a development target. So when you buy a Mac to run Asahi, you’ve got something you can’t even use for use cases that someone might target Mac OS itself for. Some people have asked about getting rid of the macOS entirely and running Linux as the only OS. From what I’ve gathered from the developers, this is possible, but they strongly advise against it. You can’t update the Mac’s firmware without macOS, so they recommend resizing the macOS partition which means it’s wasting some of the disk even if you never boot into macOS for anything. While not being able to update PC firmware after you get rid of Windows, this isn’t usually a big problem. If your computer’s in warranty to where the manufacturer has to support a fucked BIOS update or doing something so outrageous you can’t live with it, you update it once on the way out the door and generally never have to do it again. Linux will work. On an “Apple Silicon” Mac, system firmware is a much much larger problem. From the description of it I have from Asahi developers, I understand that you may be required to use macOS to update the Mac’s firmware (1) so that you can update Linux at all past a certain point, or (2) so you can use some feature (like more OpenGL ES features) at some future date, which may not be usable without a firmware update. So you’ve basically got an expensive pet rock that’s even more of a nightmare to deal with than a PC. And in return, you get all these Apple bugs and less software. When they don’t think PC users are listening, the Mac heads bitch and moan about bad design that’s pissing them off. Even JWZ does it, but for some reason thinks Linux is stuck with the same issues he experienced in 2008. The Mac is, sadly, not an option for Linux. If anything, it is polluting and bloating Linux with a meme language that people are using to write garbage with, and that could metastasize and become a problem for Linux later on. This is why I briefly considered buying a Mac and then talked myself out of it. You’ll never actually free it from the really awful OS it came with like you can with a PC, it’s ungodly expensive, and it’s got more laughable Linux support than a $100 RPi 5 computer I can buy at an electronics store in Chicago. What’s unbelievable, to me, is how much Apple has regressed from the point my editor, Howard, was sending me “Mac-formatted” floppies in the late 90s, and that people want to use Linux on this. █ ⠀⠀⠿⠿⠂⡟⠿⠻⡧⠷⠷⠿⠧⠸⠿⠶⠟⠿⠿⠆⠸⠻⠼⠾⠶⠿⠷⠾⡄⠎⠠⠟⠿⠟⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢼⠿⠿⠀⠶⠶⠶⠶⠷⠷⠶⠎⠨⠿⠧⠬⠤⠼⠿⠿⠦⠺⡢⠿⠤⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢾⣶⠶⠾⠶⠶⡿⠶⠶⠶⠶⠶⢖⡆⠰⠶⠷⠶⠾⠴⠶⡶⠀⠾⠾⠤⠝⠥⡟⠷⠔⠷⠴⢗⠾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠶⠶⣶⠿⠶⠀⠶⠶⠶⠖⠆⠰⠶⠶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⣀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣾⣴⣷⣼⣶⣴⣶⣴⣶⢀⣶⣶⡦⣦⣦⣦⢰⢶⣶⣦⣶⣶⣵⣴⠬⣶⠀⣶⣶⣦⣦⣦⣦⢰⣶⣦⣴⣶⣶⣿⣯⡄⢷⣮⢼⣦⣴⣾⣶⣼⣖⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠁⠀⠐⠀⠀⠀⠀⠀⠀⠢⠈⠀⠈⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⣤⢴⣤⣴⣤⣤⣦⠀⣦⣤⣤⣤⢠⣦⡄⢠⣤⣤⣴⣠⡴⣠⡄⣤⣤⣴⣤⣤⣤⠀⣤⣤⣤⣤⣤⣤⣄⢰⣦⣤⣤⣤⣴⣦⣤⣤⣴⠀⣶⣦⠀⣤⣤⣤⣦⣆⢠⣦⣤⣤⣤⣤⡄⢰⣠⣀⣴⠀⣤⣤⣴⠀⠀⠀⠀⠀⠀ ⣤⣤⣤⣤⣤⠀⣤⣤⣤⣤⣤⣭⣤⣠⣤⣄⣠⡌⣨⣤⣤⡄⣠⣤⣤⣥⣤⠀⣤⣤⣤⡧⢠⣤⣤⣤⣤⣤⡄⢠⣤⣤⣤⣤⣤⣤⣤⠄⣤⣤⠀⣤⣤⣤⢠⣤⣄⢠⣤⣤⣤⣤⣤⣤⡄⣤⣤⣤⣤⣤⣤⣄⣤⡀⠀⠀⠀⠀ ⢠⢤⠌⣬⣨⠀⣤⣭⣤⠀⣬⣤⣵⣄⢨⣄⡌⢩⣤⣬⣥⣢⣬⢤⡀⣬⠈⣤⣭⣤⠉⣤⣤⢍⣥⣄⢡⣥⣤⣴⡄⢸⣬⣠⣨⣠⣭⣤⣬⠀⣤⣤⣅⡤⣄⢠⣭⣤⣼⣄⢠⣬⣤⢩⣤⣩⣠⣬⣥⣬⣤⣀⠁⠃⠀⠀⠀⠀ ⣨⣭⣁⣉⣉⣂⠉⣉⣉⣀⣍⣉⢑⡡⡤⡍⢁⣈⣉⣩⣭⡍⣉⣉⣡⣍⣥⣉⣋⠉⣢⣋⣉⡴⣍⣡⣡⣍⡉⢉⣁⣌⡍⣩⣉⣉⡈⣍⣉⣂⣭⣭⡉⠩⣍⡤⢉⣭⣉⡑⢈⣉⣁⣭⣬⣙⣈⡈⣈⣉⣉⣋⣤⣀⣀⠀⠀⠀ ⣈⣈⣉⡉⣉⣩⣤⣭⠋⣏⣉⣃⣈⢉⣍⡁⢈⣉⣩⣭⡉⣁⣘⣩⣩⢭⠉⣭⣋⣀⡍⣉⢉⣭⣏⣉⣁⣉⢩⣨⣉⣩⣁⡈⣭⣊⣀⣉⣛⠉⣉⣉⣡⣀⣅⣁⢀⣉⣉⣉⣘⣉⣈⡉⠉⠉⠉⠁⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀ ⠚⠉⠉⠁⠉⠉⠉⠉⠀⠉⠉⠉⠉⠀⠉⠁⠈⠉⠉⠉⠁⠈⠉⠉⠉⠉⠀⠉⠋⠋⠉⠉⠀⠁⠉⠉⠉⠁⠈⠉⠉⠉⠉⠀⠉⠉⠛⠛⠋⠀⠉⠋⠉⠉⠉⠁⠘⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣀⣀⣀⠀⣠⣀⣀⣀⣀⣀⣀⣀⡄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠙⠉⠙⠁⠋⠉⠉⠋⠉⠉⠋⠁⠋⠋⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⢀⣀⠀⠀⠀⣀⣀⠀⡀⣀⠀⢀⠀⠀⠀⠀⢀⣀⢀⠀⡀⣀⡀⣀⠀⠀⠀⣀⣀⠀⠀⠀⡀⢀⣀⢀⡀⡄⠀⠀⣀⣀⠀⣀⠀⠀⠀⠀⠀⢀⡀⠀⢀⡀⢀⡀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠛⠙⠛⠟⠛⠛⠃⠋⠟⠛⠛⠛⠛⠓⠚⠛⠛⠛⠚⠛⠛⠛⠛⠓⠛⠛⠛⠛⠛⠛⠛⠛⠓⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠛⠛⠛⠛⠛⠛⠙⠛⠛⠛⠋⠙⠙⠛⠚⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣳⣹⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢻⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣮⣾⣿⣿⣿⣽⣷⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣷⣿⣿⣿⣯⣿⣿⣿⣻⢿⣿⣿⣿⣏⣾⣿⣿⣿⣿⣿⣯⣟⣿⣿⣿⣻⣿⣻⣟⣽⣿⣽⣿⣿⣼⣿⣿⣷⣿⣗⣸⣻⣿⣿⣾⣿⣿⣹⣮⣿⣛⣥⣿⣺⣊⣿⣿⣟⣹⢿⣹⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⡿ ⣿⣿⣿⣿⣿⣽⣿⣿⣿⢯⣿⣿⣷⣞⣛⣿⣯⣿⣿⣛⣷⣿⣻⣽⣿⣷⣿⣻⣿⣣⣿⣗⣻⣿⡿⢟⣿⣿⣛⣛⣿⣿⡿⣿⣟⣺⣿⡷⣾⣿⣻⣛⣻⣿⣻⣟⣿⣻⡻⣖⣿⣿⣿⢹⢷⣻⣻⣟⡷⣯⣻⢧⣿⣪⡧⣾⣿⣯ ⣿⣿⣿⣿⣿⣟⣿⣿⣿⡳⣿⣿⣿⣯⣿⣿⣷⣽⣻⣿⡽⣿⣿⣻⣿⡿⢻⣿⡿⣟⡿⣽⣻⣿⣟⣿⣜⣿⢟⢟⣿⣿⡿⣿⢿⣿⣷⣷⣿⢿⣿⣟⣿⣿⣾⣷⣟⣿⢯⣿⣷⣿⢿⣿⣿⡿⢯⠿⣿⣿⡿⢻⣿⣿⣟⣿⣿⣟ ⣿⣿⣿⣿⣾⣷⣿⣿⣾⣷⣿⣿⣿⣷⣿⣿⣶⣾⣿⣿⣷⣾⣶⣷⣿⣷⣾⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣷⣿⣾⣿⣷⣷⣿⣿⣷⣷⣿⣿⣷⣾⣿⣶⣾⣿⣶⣿⣾⣿⣿⣷⣷⣾⣾⣶⣶⣿⣷⣿⣾⣿⣿⣾⣿⣷ ⣿⣿⣿⣿⣿⣯⣿⣿⣿⡿⣿⣟⣿⣿⣿⣿⣷⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⡿⡿⢿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡿⣿⣿⣟⣾⣿⣟⣿⣯⣿⣛⣿⣿⣯⣿⣻⣿⣾⣻⣭⣿⣾⣛⣿⣿⣿⣿⣿⣿⣻⣾⣿⣯⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⣿⣟⢹⣿⣿⡟⣿⣿⣽⣟⢟⢿⢿⣿⣟⣿⢿⣿⣿⣿⣿⠿⣿⣿⣿⢿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⢽⣭⣯⣿⣻⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⡾⣿⣿⣫⣼⣿⣽⣭⣷⣯⣿⢍⣿⣽⣿⣮⣿⣿⣿⣼⢿⣟⡟⢹⣿⣽⣟⣾⡤⣷⣦⣻⣯⣾⣋⣟⣿⣿⣮⣿⣿⣗⣾⣿⣷⣙⣻⣯⣾⣿⣭⢴⣶⡞⣹⣬⣿⣿⣞⡟⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣷⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⠿⢿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣪⣻⠿⣮⣾⣿⢯⣟⣿⣛⣻⣻⡛⣛⣯⢧⢟⣛⣾⡛⣿⣞⣟⣿⣱⣟⣟⣿⣫⣿⣿⣿⣻⣟⣛⣿⣿⣯⣿⣿⣛⣿⣻⣟⣿⣋⣋⣟⣝⣙⣿⣿⣟⣙⣗⣿⣿⣚⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡟⣿⢿⣿⣿⣯⣶⣾⣻⣺⣾⣿⣵⣿⣿⣿⣿⣵⣴⣾⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣿⣿⢏⣿⣾⣿⣿⡿⡿⣿⣿⣟⣿⣿⢾⢷⣿⢿⣿⢿⣶⡶⣿⡿⡾⣿⢿⠿⣿⢾⣻⣳⢿⢾⣾⣿⣻⣽⡿⡾⣾⣿⡻⣿⣿⣻⣿⡟⡿⣿⡾⣾⣾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣷⣟⣿⣿⣯⣿⣿⣟⣟⣽⣿⢿⣿⣿⣿⣿⣟⢿⣿⣿⣷⣟⣽⣟⣟⣿⣿⣯⣻⣷⣿⣿⣽⣻⣛⣯⣿⣋⣯⣟⢾⣿⣯⣽⡻⣯⣿⣽⣿⣺⣿⣿⣿⣿⣿⣿⣿⣻⣝⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣾⣾⣽⣷⣧⣾⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣶⣿⣿⣿⣾⣿⣯⣿⣯⣿⣿⣷⣿⣿⣾⣽⣿⣿⣿⣽⣿⣿⣷⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡿⣯⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣻⣿⣯⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣷⣿⣿⣷⡼⣮⣿⣿⣿⡶⣸⣵⣷⣷⣾⣾⣶⣾⣷⣷⣾⣷⣶⣷⣾⣷⣿⣾⣷⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 281 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2023/11/02/Free_Software_Spreading_Like_Fire_GNU_Linux_at_8_Market_Share_o.shtml Gemini version at gemini://gemini.techrights.org/n/2023/11/02/Free_Software_Spreading_Like_Fire_GNU_Linux_at_8_Market_Share_o.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Free Software Spreading Like Fire (GNU/ Linux at 8% "Market Share" on the Client Side Now, Not Counting Mobile)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Nov 02, 2023 Like a wildfire (8%_of_Desktops_and_Laptops,_According_to_statCounter) 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNU/Linux growing⦈ ⣿⣥⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⢸⡇⣿⢹⢹⣿⣿⢹⡟⣿⣿⣿⡿⣿⢻⡟⣿⣿⣿⡟⣿⢿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣛⣟⣻⢘⡃⣛⢸⢘⣟⣻⢘⡃⣛⣻⣛⡇⣛⢘⡃⣟⣻⣛⡇⣛⢘⣛⣟⣻⢘⡃⣛⢸⣛⣟⣻⢛⡋⣛⣻⣛⡟⣛⢛⡛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⢸⡇⣿⢸⢸⣿⣿⢸⡇⣿⣿⣿⡇⣿⢸⡇⣿⣿⣿⡇⣿⢸⣿⣿⣿⢸⡇⣿⢸⣿⣿⣿⢸⡇⣿⣿⣿⡇⣿⢸⡇⣿⣿⣿⡇⣿⢸⡇⣿⣿⣿⡇⣿⢻⣿⣿⣿⢹⡏⣿⣿⣿⡿⣿⣿⣿⡭⠭⢭⣽⣿⣿⣿⣿ ⣿⠿⡿⢿⠸⠇⠿⢸⠸⡿⢿⠸⠇⠿⢿⠿⡇⠿⠸⠇⡿⢿⠿⡇⠿⠸⠿⡿⢿⠸⠇⠿⢸⠿⡿⢿⠸⠇⠿⢿⠿⡇⠿⠸⠇⡿⢿⠿⡇⠿⠸⠇⡿⢿⠿⠇⠿⢸⠿⡿⢿⠸⠇⠿⢿⠿⡇⠿⢿⣿⢯⡭⢭⣽⣿⣿⣿⣿ ⣿⣿⣿⣿⢸⡇⣿⢸⢸⣿⣿⢸⡇⣿⣿⣿⡇⣿⢸⡇⣿⣿⣿⡇⣿⢸⣿⣿⣿⢸⡇⣿⢸⣿⣿⣿⢸⡇⣿⣿⣿⡇⣿⢸⡇⣿⣿⣿⡇⣿⢸⡇⣿⣿⣿⡇⣿⢸⣿⣿⣿⢸⡇⣿⣿⣿⡇⣿⣿⣿⢽⠭⣭⣯⣽⣿⣿⣿ ⣿⡿⣿⣿⢸⡇⣿⢸⢸⣿⣿⢸⡇⣿⣿⣿⡇⣿⢸⡇⣿⣿⣿⡇⣿⢸⣿⣿⣿⢸⡇⣿⢸⣿⣿⣿⢸⡇⣿⣿⣿⡇⣿⢸⡇⣿⣿⣿⡇⣿⢸⡇⣿⣿⣿⡇⣿⢸⣿⣿⣿⢸⡇⣿⣿⣿⡇⣿⣿⣿⢽⠭⠭⠿⣿⣿⣿⣿ ⣿⣷⣿⣿⢸⡇⣿⢸⢸⣿⣿⢸⡇⣿⣿⣿⡇⣿⢸⡇⣿⣿⣿⡇⣿⢸⣿⣿⣿⢸⡇⣿⢸⣿⣿⣿⢸⡇⣿⣿⣿⡇⣿⢸⡇⣿⣿⣿⡇⣿⢸⡇⣿⣿⣿⡇⣿⢸⣿⣿⣿⢸⡇⣿⣿⣿⡇⣿⣿⣿⡽⠭⠽⠿⠿⠿⠿⢿ ⣿⣿⣿⣿⢸⡇⣿⢸⢸⣿⣿⢸⡇⣿⣿⣿⡇⣿⢸⡇⣿⣿⣿⡇⣿⢸⣿⣿⣿⢸⡇⣿⢸⣿⣿⣿⢸⡇⣿⣿⣿⡇⣿⢸⡇⣿⣿⣿⡇⣿⢸⡇⣿⣿⣿⡇⣿⢸⣿⣿⣿⢸⡇⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣶⣷⣾⢰⡇⣶⢸⢰⣷⣾⢰⡆⣷⣾⣶⡇⣾⢰⡆⣷⣾⣶⡇⣶⢸⣶⣷⣾⢰⡇⣶⢸⣶⣷⣾⢰⡆⣷⣾⣶⡇⣾⢰⡆⣷⣾⡶⡇⣶⢸⡆⣷⢺⢰⡇⣶⢸⡖⣷⢺⢰⡆⣷⢺⡆⡇⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⢿⠸⡇⣿⢸⡸⣿⢻⢸⡇⣿⢻⡟⡇⢻⢸⡇⣿⢻⡟⡇⣿⢸⡏⣿⢹⠈⡇⣿⢸⡏⣿⢹⢸⡇⣿⢸⡇⡇⢸⢸⡇⣿⢸⡇⡇⣿⢸⡇⣿⢸⢸⡇⣿⢸⡇⡿⢸⢸⡇⣿⢸⠃⡇⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣯⢯⠬⠤⠥⡭⡬⡥⠭⢬⢬⢥⢭⠬⠥⡥⡌⡬⡥⠭⢬⢠⢥⠭⠬⠥⡥⡬⡤⠥⠥⢬⢥⢥⢬⠬⠤⡭⡌⡤⠥⠬⢬⢤⢭⠬⠤⠥⡤⡬⠤⠥⢬⢤⢤⢤⠬⠤⡤⡤⡤⡤⠤⢤⢤⢠⠤⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣡⣡⣥⣤⣬⣌⣌⣬⣤⣥⣥⣡⣡⣥⣤⣎⣌⣌⣬⣤⣴⣡⣡⣡⣭⣬⣎⣌⣌⣬⣤⣵⣡⣡⣥⣤⣭⣎⣌⣬⣤⣤⣵⣡⣡⣥⣤⣬⣎⣌⣬⣤⣴⣡⣡⣡⣥⣤⣎⣌⣌⣬⣤⣴⣡⣡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 320 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2023/11/02/The_Negative_Consequences_from_Clicking_on_I_Agree_Understandin.shtml Gemini version at gemini://gemini.techrights.org/n/2023/11/02/The_Negative_Consequences_from_Clicking_on_I_Agree_Understandin.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ The Negative Consequences from Clicking on “I Agree”- Understanding App, Social Media, and AI Terms of Service⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Rianne Schestowitz on Nov 02, 2023, updated Nov 02, 2023 Over at Purism, Rex M. Lee writes about click-through licensing: We all have clicked on “I Agree” without reading the fine print when it comes to the collective terms of service that support operating systems, apps, social media platforms, and AI products such as ChatGPT, but do we really understand the negative consequences from clicking on “I Agree”? Before consumers of technology can understand the terms of service they are accepting when they click on “I Agree”, it is important for the consumer to understand that Alphabet (Google), Apple, and Microsoft are in the “Information Trafficking Industry”. The information trafficking industry is centered on the collection of highly confidential personal, business, medical, legal, employment, and location information from operating system (OS), application (app), social media, artificial intelligence (AI), and internet end users, you for example. Google, Apple, and Microsoft are the gate keepers to the internet meaning that they control access to global internet trade and commerce through their dominance over the OS, App, social media, and AI markets. Read_on ䷩ 𝚕𝚒𝚗𝚎 371 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2023/11/02/_Video_Daily_Bulletins_Now_Compatible_With_the_New_Site.shtml Gemini version at gemini://gemini.techrights.org/n/2023/11/02/_Video_Daily_Bulletins_Now_Compatible_With_the_New_Site.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ [Video] Daily Bulletins Now Compatible With the New Site⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Nov 02, 2023 Video_download_link | md5sum 9b91d137399a98f6e930292ab0cc9cd2 Daily_Bulletins_Expand_to_Tux_Machines Creative Commons Attribution-No Derivative Works 4.0 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Preview_for_Daily_Bulletins_Expand_to_Tux_Machines⦈_ TODAY we finalised (for now at least) the new version of the bulletins generator, so this week will be the first in a while that has (or resumes) the bulletins. Changes had to be made and there's a new_way_for_presenting_past bulletins, which works better than the prior way (not designed to properly deal with over a thousand files). For the first time in 19.5 years Tux Machines also has daily bulletins, but the subject will be covered separately in that site. I have had a few more things to say in the spontaneous video. These bulletins were a prerequisite for a whole bunch of other impending upgrade/migration tasks. █ ⡿⠸⠀⡏⢱⢐⣢⡄⡗⣄⠆⢰⠭⡂⡄⡆⣿⢠⣢⢰⢺⢰⢢⠰⣂⠀⡯⠅⢦⠆⡖⡄⣒⡄⠔⣄⠖⡇⠐⡖⡔⡄⠈⢹⠁⡆⡖⣦⠂⢸⣧⣾⢐⣢⡰⠂⡗⡆⣇⡖⡄⣔⡤⣒⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⠰⠀⠉⡁⠈⠉⠁⠁⠊⠀⠈⠉⠁⠉⠁⠉⠈⠉⠈⠉⠈⠈⠈⠁⠀⠉⠁⠁⠁⠋⠁⠉⠁⠀⠁⠉⠁⠀⠉⠉⠁⠀⠈⠀⠉⠁⢡⣡⣬⣀⠈⣌⣍⣬⠁⠁⣁⣁⣳⣅⣉⣉⣉⠀⠓⠐⣋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠞⠨⠊⠚⠃⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⣿⣿⣿⣿⣿⠀⠖⡾⣿⢰⠆⠀⠀⠺⠆⠄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⣾⣿⣿⣇⣳⠟⢘⡃⠛⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠀⠿⣿⣿⣿⣿⣿⣿⠏⢇⣿⢿⣿⣿⣟⣿⣟⣺⡗⣙⡂⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢀⡀⠀⠀⢀⣝⡻⣿⣿⣿⡯⡰⠀⣽⠿⣿⣿⣿⣿⣿⣿⡃⣿⡄⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠁⠻⣿⣟⣻⣛⡁⣿⠈⠂⠀⠉⠀⠈⠹⣿⣿⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⡈⢈⡕⣩⠀⢋⠀⣩⠀⣄⠂⠀⠀⠙⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠀⠀⠀⠀⠀⡀⠀⠅⠀⡄⠈⠁⠠⡄⢸⡆⡡⠀⠤⠀⣤⣠⡅⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⠁⠚⠀⠄⠀⠈⠜⠡⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠛⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠒⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⣌⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣤⣀⣠⣠⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣤⣤ ⣀⠀⠀⠀⡀⢀⡀⢀⣀⣀⡀⣀⠀⣀⢀⣀⢀⣀⣀⡀⢀⡀⢀⡀⡁⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⠏⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣸⣿⣿⣿⣿⣿⡿⠁⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣽⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣻⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢁⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡻⣽⡿⣾⢿⡟⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣷⣿⣷⣯⣽⠿⢻⢿⡿⡿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⡷⡔⣉⢨⣿⣶⣾⣷⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡷⣹⠀⡏⢲⢠⣤⡄⡇⣄⠄⢰⠭⡆⡄⡄⣿⢠⣠⢰⢨⢠⢠⢠⡀⠀⡯⠅⢄⠄⡄⡄⣤⡄⠄⣄⠤⡇⠀⡆⡄⡄⠈⢹⠁⡄⡄⣤⠄⢰⢧⣾⢠⣤⡠⠀⡇⡄⡅⡄⣄⣄⡤⣤⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⢀⠀⣸⣻⣿⣿⡇⣻⠏⢘⡃⡊⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⡟⠘⢇⣿⣿⣿⣿⣟⣿⣛⢸⠗⢄⠀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢀⡀⠀⠀⣹⣿⣿⣿⣿⣿⡧⡐⠀⢿⡿⣽⣿⣿⣿⣿⣾⡇⣶⡀⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣿⢟⣛⣛⠇⣿⠀⠀⠀⠉⠀⠉⢹⣿⣿⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠉⢈⡅⣭⠄⢋⠀⡩⠀⠄⢃⠀⠀⠹⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⡀⠠⠅⠀⠀⠀⠰⠠⡀⢨⡄⡡⠀⢴⠀⣤⣈⡅⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡆⠁⠂⠀⠆⠀⠈⠜⠡⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠛⠁⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⣌⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣿⣷⣼⣷⣠⣠⣠⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣤⣤ ⡀⠀⠀⠀⡀⢀⣀⢀⡀⣀⡀⣀⠀⣀⢀⣀⢀⣀⢀⡀⢀⡀⣀⣠⣦⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⠏⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣸⣿⣿⣿⣿⣿⡿⠁⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣽⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣻⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢁⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡻⣽⡿⣾⢿⡟⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⠟⢻⢿⣿⠿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⡷⡔⣉⢨⣿⣶⣾⣷⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⠵⠀⡖⢢⢠⣄⡀⡆⡄⠄⢰⣒⡆⡄⡄⣶⢠⣤⢴⢴⢠⢤⢠⡄⠀⣖⡂⢄⠄⡤⡄⣤⡀⠤⣄⠤⡆⠠⡦⡤⡄⠐⢲⠒⡄⡄⣤⠄⢰⣆⣴⢠⣤⡠⠄⡦⡄⡆⡤⡄⣤⣤⣤⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣻⠶⠀⠓⠊⠑⠚⠀⠃⠝⠀⠈⠒⠁⠓⠃⠛⠈⠒⠘⠚⠘⠘⠐⠊⠀⠓⠂⠋⠃⠗⠁⠒⠃⠀⠋⠒⠃⠀⠓⠑⠁⠀⠘⠀⠑⠃⢩⣦⣬⡈⠘⠰⢌⣥⠂⠃⠃⠻⠓⠃⠓⠃⠚⠀⠛⠰⣏⠀⠀⠐⠀⢀⠀⠀⠂⠀⠀ ⠗⠈⠚⠐⠁⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⠀⠠⢶⢸⣷⢲⠆⠀⠈⠺⠇⠄⠀⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⢀⠀⢈⣻⣿⣿⣧⣿⠟⢘⡃⡘⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⠈⢗⣿⢿⣿⣿⣿⣿⣛⣺⠗⣅⡠⡀⠀ 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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢫⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣍⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣻⣽⡿⣿⢿⡟⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⢟⢻⢿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⡾⣻⢸⣿⣶⣾⣷⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⢹⠀⡖⢠⠠⢄⠀⡆⡀⡄⢠⣒⠄⡀⡄⣶⢀⢄⢠⢴⢀⢄⢀⠄⠀⣖⡂⣄⡄⡠⡀⠠⡀⡠⡀⡀⡆⠀⡤⡠⡀⠙⢻⠋⡌⡍⣍⠍⢹⣏⣽⢩⣍⢁⠄⡦⡀⡆⡤⡉⡩⣉⣯⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⠖⠀⠓⠚⠘⠛⠃⠃⡹⠀⠘⠒⠃⠓⠃⠛⠘⠛⠘⠚⠘⠘⠘⠓⠀⠓⠂⠊⠂⠗⠃⠛⠃⠀⠋⠒⠃⠀⠓⠓⠃⠀⠘⠀⠓⠃⢪⣤⣬⠈⠘⢸⠛⣵⠂⠃⠃⡛⠃⠃⠛⠓⠛⠀⠃⢰⣇⠀⡀⠀⠀⠀⡀⠀⠀⠄⠀ ⠷⠠⠃⠒⠆⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⢀⣶⣿⣿⣿⣿⣿⣿⠀⠰⡾⢜⣿⠱⠆⢀⠀⠺⠆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣤⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⣰⣿⣿⣿⣧⣿⡟⢰⡇⡚⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⡏⠘⢟⣿⣿⣿⣿⣿⣿⣟⣺⡗⣜⡂⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢀⡀⠀⠀⢻⣿⣿⣿⣿⣿⡧⡰⠐⢿⡿⣽⣿⣿⣿⣿⣿⡇⣿⡔⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣿⣟⣻⣻⡇⣿⠀⠀⠀⠉⠀⠉⢿⣿⣿⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠉⢨⡅⣨⠀⢋⠀⣭⡀⡄⢃⠀⠀⠹⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠀⠀⠀⠀⠀⡀⠈⠄⠀⠀⠀⢰⢤⡄⢺⡄⡡⠀⣄⠀⣤⣀⡅⠀⠀⠀⠀⠀⠀⠀⠀ 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⣿⠄⠀⠧⠞⠪⠹⠃⠇⡳⠀⠘⠤⠃⠧⠇⠿⠘⠍⠸⠼⠸⠸⠨⠕⠀⠧⠄⠎⠆⡧⠃⠍⠇⠀⠏⠦⠇⠀⠧⠣⠃⠀⠸⠀⠃⠇⢺⣤⣬⡈⠹⢨⣹⣥⠀⠇⠇⠗⢷⠇⠫⠓⠽⠀⠃⢰⣟⠀⠀⠲⠄⢀⠀⠀⠂⠄⠀ ⠓⠀⠀⠀⠆⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⣴⣶⣶⣾⣿⣷⣶⡆⠀⠶⣾⣷⢳⠆⠀⠀⠲⠖⢆⠀⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣇⣀⣀⣷⣿⣿⣧⣻⡟⢘⡇⡛⠀⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⠛⢁⣿⣿⣿⣿⣿⣿⣗⣫⣗⢵⠠⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢀⡄⠀⠀⢰⣹⣿⣿⣿⣿⣧⡀⢠⢿⡿⣿⣿⣿⣿⣿⣿⡯⣿⠕⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠍⢻⣿⣟⡛⣻⡇⣿⠈⠀⠀⠁⠀⠈⠹⣿⣿⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠈⢨⡕⣤⠊⢛⠁⣩⠀⣄⢇⡀⠀⠙⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⢀⠀⡀⠈⠅⠀⠈⠈⠡⠬⡀⢸⠆⣩⠠⡄⠀⣨⣠⡅⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⢰⡄⠁⠊⠂⠄⠀⠀⠜⠣⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠣⠀⠀⠁⠉⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⣌⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣠⣠⣤⣠⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣴⣤⣤ ⡀⠀⠀⠀⡀⢀⣀⣀⣀⣀⡀⣀⠀⣀⢀⣀⣀⣀⣀⡀⢀⡀⣀⡀⡀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⡈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢏⢠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣾⣿⣿⣿⣿⣿⡿⠃⢲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢫⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣻⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡻⣽⡿⣿⢿⡟⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⠟⣻⢿⣿⡿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⡷⡮⣋⢨⣿⣶⣾⣷⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⢸⠉⡭⢄⢀⡀⠄⣄⠀⡀⢠⠤⡀⡀⡀⣤⠀⣀⣠⣠⢀⣀⢀⡀⠀⡤⠄⡀⡀⣀⠀⣀⠀⣀⠀⣀⡄⢀⣄⢀⡀⠩⢭⠭⡉⡉⡉⡉⢩⡍⣩⢉⡉⢁⡀⣄⡈⡍⣉⡉⣉⡉⣉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠚⠀⠧⠜⠲⠽⠄⠇⡳⠁⠸⠭⠇⠧⠇⠿⠸⠭⠸⠼⠸⠸⠨⠖⠀⠯⠥⠜⠄⡧⠇⠮⠇⠁⠟⠤⠇⠀⠧⠧⠇⠀⠸⠀⠥⠇⢽⣤⣬⡘⠹⢠⣽⣥⠄⠇⠇⠟⣷⠇⠯⠭⠵⠀⠃⠰⣞⠀⡀⠐⠄⠀⡀⠀⠀⠀⠀ ⠶⠘⠂⠐⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠠⠀⠀⠀⢀⣴⣶⣶⣾⣶⣶⣶⡆⠀⠶⣾⣷⢰⠆⠀⠂⠺⠆⠄⠀⠂⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣇⣀⣀⢿⣿⣿⣇⣷⠟⢘⡃⡉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⠋⢛⣿⢿⣿⣿⣿⣿⣟⣲⡗⣙⡃⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢀⡀⠀⠀⢈⣻⣿⣿⣿⣿⡧⡐⠀⣽⡿⣽⣿⣿⣿⣿⣾⡇⣿⡅⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⢟⡛⣚⠙⣿⡀⠀⠀⠉⠀⠈⠻⣿⣿⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠈⠨⡵⢽⠀⢛⠀⣩⠀⣄⠃⡀⠀⠙⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠀⠀⠀⠀⠀⡀⠈⠀⠀⠈⠈⢠⠠⡆⢨⠄⠡⠠⠄⠀⣤⣨⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡄⠀⠂⠠⢆⠀⠀⠜⠣⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠜⠣⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣌⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣠⣠⣠⣠⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣦⣤⣤⣤ ⡀⠀⠀⠀⡀⢀⡀⣀⣀⣀⣀⣀⢀⣀⢀⣀⣀⣀⣀⡀⢀⡀⣀⡀⡀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⠏⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣸⣿⣿⣿⣿⣿⡿⠁⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣽⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣽⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣁⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡻⣽⡿⣾⢿⡟⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣾⣷⣿⡽⠟⠻⢿⣿⡿⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⡷⡤⣉⢨⣿⣶⣾⣷⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⢽⠉⡭⢄⢀⡀⠀⡄⠀⡀⢀⠤⡀⠀⡀⣤⠀⡀⢀⣠⢀⡀⢀⡀⠀⡤⠄⡀⡀⣀⠀⣀⠀⢀⠀⣀⡄⢀⣀⢀⠀⠩⢭⠭⡉⡙⡛⡛⢩⡍⣩⢉⡛⠁⡀⣄⡉⣏⣉⠉⢛⠛⣛⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢿⠺⠀⠧⠜⠰⠾⠄⠇⡳⠁⠸⠭⠆⠧⠇⠿⠸⠾⠸⠼⠸⠸⠨⠆⠀⠯⠅⠝⠅⡧⠇⠶⠇⠁⠗⠥⠇⠀⠧⠧⠇⠀⠸⠀⠥⠇⢽⣤⣬⡘⠹⢰⣼⣬⠄⠇⠇⠇⠇⠇⠷⠯⠶⠀⠃⠰⣎⠀⠀⠐⠀⢀⠀⠀⠂⠀⠀ ⠿⠀⠒⠒⠂⠠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠀⠀⠀⢀⣴⣶⣷⣶⣶⣶⣶⠀⠰⢶⢝⣷⠳⠆⠀⠀⠻⠖⠤⠀⠂⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⢀⢀⣸⣻⣿⣿⣧⣿⡟⢘⡁⡛⠀⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⡯⠘⢗⣿⣿⣿⣿⣿⣿⣟⣻⡟⢍⡀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢀⡄⠀⠀⢻⣿⣿⣿⣿⣿⡧⡰⠀⢿⡿⣽⣿⣿⣿⣿⣿⣯⣿⡇⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣿⣿⡻⣻⡏⣿⠀⠀⠀⠁⠀⠉⢹⣿⣿⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡉⢈⡕⣨⠈⢛⠁⣨⡀⣄⢂⡀⠀⠙⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠅⠠⣤⢨⡆⢺⠆⡡⠠⠔⢄⣤⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⢸⡄⠁⠂⠀⠄⠀⠈⠜⠣⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠃⠀⠀⠀⠉⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⣄⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣠⣠⣤⣠⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣴⣤⣤ ⣀⠀⡀⠀⡀⠀⡀⣀⣀⣀⣀⣀⣀⣀⢀⣀⢀⣀⣀⡀⢀⡀⣀⡀⡀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢏⢠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣾⣿⣿⣿⣿⣿⡿⠃⢲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢫⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣻⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡻⣽⡿⣿⢿⡟⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⢟⣻⢿⣿⡿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⡷⡮⣋⢨⣿⣶⣾⣷⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⢹⠉⡭⣀⠀⠀⠀⡄⠀⠀⢀⠤⡀⠀⠀⣤⠀⠀⢀⠠⠀⠀⠀⠀⠀⡤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⡀⠀⠀⠫⢿⠍⠋⠛⠛⠛⢻⡟⣻⠛⠛⠁⠀⡄⠙⢏⠙⠛⠛⢛⢛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⠤⠀⠧⠼⠼⠿⠂⠇⢳⠁⠸⠭⠇⠧⠇⠿⠸⠾⠸⠸⠸⠸⠸⠦⠀⠏⠁⠕⠅⡧⠇⠷⠇⠁⠗⠭⠇⠀⠇⠇⠇⠀⠸⠀⠅⠇⢽⣤⣬⡐⠹⠸⢻⣬⠀⠇⠇⠧⠗⠇⠷⠯⠿⠀⠓⢰⣏⢀⠀⠐⠀⢀⡀⠐⠆⠀⠀ ⠞⠐⠀⠀⠄⠠⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⢀⣴⣴⣷⣶⣶⣶⣶⠀⠠⢶⣼⣷⠲⠆⠀⠀⠻⠆⠤⠀⠊⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣤⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⢀⠀⢈⣿⣿⣿⣧⣿⣟⢘⡃⡛⠂⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⠈⢏⣿⣿⣿⣿⣿⣿⣟⣺⡗⣬⡂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢀⡄⠀⠀⢻⣿⣿⣿⣿⣿⣧⡐⠐⢽⣿⣽⣿⣿⣿⣿⣿⡯⣿⡕⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠥⢻⣿⣟⡻⣻⣅⣿⣈⡁⠀⠉⠀⠉⢻⣿⣿⡿⠋⠀⠀⠀ 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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢋⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣅⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡻⣽⡿⣿⢿⡟⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣷⣿⡽⠟⢻⢿⣿⡿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⡷⡮⣛⢬⣿⣶⣾⣷⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣾⢷⠛⣛⣂⠀⠀⠀⡄⠀⠀⢀⣀⡀⠀⠀⣀⠀⠀⢀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡀⠀⠀⢛⣛⡛⠛⠛⠛⠛⢛⡛⣛⠛⠛⠁⠀⡖⠛⡟⠛⠛⠛⠛⣛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⠀⠀⣇⠼⢜⠷⠆⡇⢷⠁⠸⣉⠇⠇⡇⠿⠸⡛⠸⣹⢸⢹⠘⡣⠀⣏⡁⡕⡅⣏⠇⡟⡇⠉⡗⠍⡇⠈⣏⢏⠇⠀⢸⠀⠅⠇⢽⣡⣬⡱⠹⢸⢿⣬⠁⡏⠇⡇⡿⡇⢟⠯⡻⠀⠛⠀⣉⠀⠀⠰⠀⠀⡀⠀⠀⠀⠀ ⠟⠀⠀⠀⠀⠠⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣴⣷⣦⣴⣶⡦⠀⣤⣴⣷⠰⠄⢀⠀⠺⠆⠄⠈⠂⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣹⣿⣿⣇⡻⡟⢸⡃⠚⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠘⣿⣿⣿⣿⣿⣿⣿⠋⢏⣿⣿⣿⣿⣿⣿⣗⣺⡗⢉⡂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢀⡀⠀⠀⢘⣿⣿⣿⣿⣿⣿⡀⠐⢽⡿⣿⣿⣿⣿⣿⣾⡇⣾⡅⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠅⢹⣿⣟⣛⣻⡅⣿⢀⠀⠀⠁⠀⠈⢹⣿⣿⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢀⠈⢀⡅⣭⠀⢋⠈⡉⠀⢄⢃⠀⠀⠙⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠀⠀⠀⠀⠀⠀⠈⠄⠀⠄⠈⠀⠠⡎⢨⡄⣡⠀⠄⠀⣥⣈⡅⠀⠀⠀⠀⠀⠀⠀⠀ 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⣿⣿⣿⣿⣿⣿⣿⣷⣿⡽⠟⣻⢿⣿⡿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⡷⡤⣋⢨⣿⣶⣾⣷⣷⣿⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢿⠹⠛⣛⡂⠀⠀⠀⡀⠀⠀⢀⣀⡀⠀⠀⣀⠀⠀⢀⢀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡀⠀⠀⢛⣛⣛⠛⠛⠛⠛⢛⡛⢛⠛⠛⠁⠀⡒⠛⡛⠛⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣷⢴⠀⣇⡸⢜⣳⠅⡏⢦⠃⢸⣒⡇⣇⡇⣿⢰⣛⢹⣹⢸⢹⢘⡡⠀⣗⣂⡱⡁⣏⡆⣛⡆⠋⡶⣉⡇⠈⣏⣏⡇⠀⢸⠀⣁⡇⣵⣡⣬⡡⢻⢨⣷⣌⡁⡏⡇⡗⡟⡇⣟⣓⣫⠀⠓⠀⢉⠀⡀⠐⠀⠀⠀⠀⠀⠀⠀ ⠟⠈⠄⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⢀⣤⣤⣤⣧⣤⣤⣤⡄⠀⠶⣔⣷⠰⠆⠀⠀⠸⠆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣹⣿⣿⣇⢻⠟⢘⡃⡋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠘⣿⣿⣿⣿⣿⣿⣿⠃⢏⣿⣿⣿⣿⣿⣿⣿⢸⡗⣀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢀⡀⠀⠀⢈⣿⣿⣿⣿⣿⣿⡠⠀⢼⡿⣽⣿⣿⣿⣿⣾⡗⣿⡄⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠁⢻⣿⢟⡛⣛⡋⣿⢀⠀⠀⠉⠀⠈⠻⣿⣿⣿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢐⡉⢨⡕⣩⠀⢋⠈⣩⠀⣀⠂⠀⠀⠙⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠀⠀⠀⠀⠀⠀⠀⠅⠀⠄⠈⠀⠠⡄⢨⠄⡩⠀⢴⠀⣤⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠁⠐⠀⠆⠀⠈⠜⠣⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠇⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⣌⠢ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⣠⣠⣠⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤ ⣀⠀⠀⠀⡀⢀⣀⢀⡀⣀⡀⣀⢀⣀⢀⣀⢀⣀⣀⡀⢀⡀⣀⡀⡀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⠏⢀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣼⣿⣿⣿⣿⣿⡿⠃⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢋⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣽⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢁⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠻⣽⡿⣾⢿⡟⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣷⣿⡽⠟⠻⢿⣿⠿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⡷⡄⣋⢨⣿⣶⣾⣷⣷⣿⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡽⠛⣛⡂⠀⠀⡀⡀⠀⠀⠀⣀⠀⠀⠀⣀⠀⠀⢀⢀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢛⣛⣛⠛⠛⠛⠛⢛⡛⢛⠛⠛⠁⠀⡒⠛⣛⠛⠛⠛⢛⢛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⠞⠀⣇⡸⢬⣱⠆⡇⢦⠃⢸⣒⡇⣆⡇⣿⢰⣑⢸⣹⢸⢱⢘⡥⠀⣗⣂⡳⡃⣏⡆⣍⡆⠊⡶⣉⡇⠈⣏⣎⡆⠀⢸⠀⣁⡇⣳⣡⣬⡡⢻⢨⣱⣬⡁⡏⡇⡇⡟⡇⣏⣖⣩⠀⠚⠀⣻⢀⡀⠐⠄⢀⠀⠀⠄⠀⠀ ⠶⠡⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⢀⣤⣤⣬⣦⣤⣤⣤⡄⠀⢴⣖⣷⢲⡆⠀⠠⠻⠆⢄⠀⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣾⣧⣿⢟⢘⡁⠊⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠘⣿⣿⣿⣿⣿⣿⣿⠋⢋⣿⣿⣿⣿⣿⣿⣟⣫⣗⡄⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢀⡄⠀⠀⢈⣿⣿⣿⣿⣿⣯⡰⠀⢽⡿⣿⣿⣿⣿⣿⣿⣫⣿⡑⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠅⢻⣿⢟⠿⣻⡝⣷⢠⠁⠀⠁⠀⠈⢻⣿⣿⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢀⡈⢨⡥⣭⡊⢛⠁⡩⢀⣄⢃⡀⠀⠙⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠀⠀⠀⠀⠀⠀⠈⠅⠀⠀⠀⠄⠨⡎⢸⠆⡡⠀⡔⠀⣤⣠⡅⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠁⡊⠀⡆⠀⠈⠜⠣⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠘⠋⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⣈⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⣠⣤⣠⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣴⣤⣴ ⣀⠀⡀⠀⡀⢀⣀⣀⣀⣀⣀⣀⢀⣀⣀⣀⣀⣀⣀⡀⢀⡀⣀⡀⡀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⢏⢠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣾⣿⣿⣿⣿⣿⡿⠃⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢋⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣻⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣅⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡻⣽⡿⣿⢿⡟⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣷⣿⡽⢟⠻⢿⣿⡿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⡷⡮⣛⢬⣿⣶⣾⣷⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⣹⠟⣛⠂⠀⠀⠀⡀⠀⠀⠀⣀⠀⠀⠀⣀⠀⠀⠀⢀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢛⣟⣛⠛⠿⠿⠿⢿⡿⢛⠿⠻⠁⠀⡒⠻⡟⠻⠿⠿⠿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠞⠀⣇⣸⢠⣶⡄⡇⢦⠃⢸⣒⡇⣆⡆⣿⢰⣵⢸⣱⢰⢰⢰⣅⠀⣗⡂⡣⡃⣎⡆⣤⡆⠊⡦⣂⡇⠀⣇⣎⡆⠀⢸⠀⣀⡇⣲⣡⣬⡡⢻⢠⣵⣤⠁⡇⡆⡟⣟⡆⣮⣖⣿⠀⠛⠆⢉⠀⠀⠐⠀⢀⡀⠀⠀⠄⠀ ⠟⠘⢀⠀⠀⠀⠀⠀⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣽⣦⣤⣤⣤⠀⣠⣤⣷⡳⠆⠄⠀⠺⢗⠤⠀⠊⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢰⣿⣿⣧⣿⢟⢘⡣⡛⠘⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⢿⣿⣿⣿⣿⣿⣿⠏⢇⣿⢿⣿⣿⣿⣿⣿⣻⣷⣍⡠⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢀⡄⠀⠀⢠⣻⣿⣿⣿⣿⡿⡠⠰⢽⡿⣽⣿⣿⣿⣿⣿⡿⣿⡑⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣿⢟⡛⣻⡝⣿⡀⠃⠀⠉⠀⠙⢻⣿⣿⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢀⠈⠨⡵⣽⠨⢋⠉⠩⢀⣄⢢⡀⠀⠹⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⢀⠀⠀⠈⠅⠀⠄⠈⠀⠨⡬⣺⠇⡡⠀⡔⠄⣥⣀⡅⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣔⠁⡊⠂⠦⠀⠈⠜⠣⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠿⠀⠀⡀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⣄⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⣤⣤⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣴⣤⣤ ⣀⢀⡀⠀⡀⢀⢀⣀⣀⣀⣀⣀⢀⣀⣀⣀⣀⣀⣀⡀⢀⡀⣀⡀⡀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⢏⢠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣾⣿⣿⣿⣿⣿⡿⠃⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢋⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣅⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡿⣽⡿⣿⢿⡟⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣷⣻⡽⢟⢻⢿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⡷⡮⣻⢬⣿⣶⣾⣷⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⢹⠛⠛⠂⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠁⠀⡒⠻⣿⠿⠿⠿⠿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⢀⠀⡇⣹⣰⣦⠂⡇⣦⠂⢸⠒⡇⣆⡆⣿⢰⢶⢸⢲⢰⢲⢰⣆⠀⡗⠂⡢⡂⡖⡆⣶⡆⠒⡦⣒⡇⠀⡇⡖⡆⠀⢸⠀⡀⡆⣢⣠⣬⣡⢻⢰⣤⣴⠀⡗⡆⡆⡶⡆⡶⣖⢷⠀⠷⠆⢀⠀⠀⠐⠀⠀⠀⠀⠄⠄⠀ ⠿⠐⠀⠀⠀⠀⠀⠀⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⣧⣼⣤⣥⡄⢀⣀⣼⢰⠆⢀⡀⠺⠆⢄⠀⠂⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⢸⣿⣿⣧⣻⠟⢘⡇⠉⠀⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⠀⢿⣿⣿⣿⣿⣿⣿⠟⢆⣶⢿⣿⣿⣿⣿⣿⡺⠗⣀⡂⡀⠀ 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⣟⠖⠀⡏⢲⢠⣤⡄⡇⣄⠄⢰⠭⡆⡄⡄⣿⢠⣠⢰⢨⢠⢠⢠⡀⠀⡮⠅⢄⠄⡄⡄⣤⡄⠄⣄⠤⡇⠀⡆⡄⡄⠀⢹⠁⠀⡄⢤⣠⣤⣃⣼⢠⣤⣤⠀⡇⡄⡅⣶⡄⣄⡤⣤⠀⠻⠃⢸⢔⠀⠐⠀⠀⡀⠀⠀⠄⠀ ⠽⠀⠀⠁⠉⠉⠉⠁⠁⠜⠀⠈⠁⠁⠉⠁⠉⠈⠈⠈⠈⠈⠈⠈⠉⠀⠁⠀⠁⠁⠇⠁⠉⠁⠀⠁⠉⠁⠀⠁⠁⠁⠀⠈⠀⠁⠁⠁⠀⠀⠀⠈⠈⠈⠈⠀⣁⣁⣁⣹⣇⣉⣉⣉⠀⢠⣄⣶⠳⠆⠀⠀⠻⢇⡄⠀⠂⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣧⣿⢞⢘⡃⡋⠀⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⠘⢿⣿⣿⣿⣿⣿⣿⠟⢗⣶⣿⣿⣿⣿⣿⣛⣺⡗⣅⠠⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢀⡄⠀⠀⢈⣿⣿⣿⣿⣿⡿⡀⠀⣽⡿⣿⣿⣿⣿⣿⣿⡯⣿⡑⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠅⢻⣿⣟⡻⣻⡇⣿⡀⠊⠀⠉⠀⠉⢻⣿⣿⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢐⠋⠩⡕⣩⡊⢋⠁⣩⡀⣄⢣⠀⠀⠹⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠀⠀⠀⠀⠀⠀⠈⠅⡀⠀⠈⠁⢄⡀⢸⠄⣡⠀⡔⢀⣤⣨⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⣷⠁⠚⠠⠄⠀⠀⠜⠣⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠀⠀⠀⠉⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠐⠄⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⣌⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⣠⣤⣠⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣴⣤⣤ ⡀⠀⡀⠀⡀⢀⡀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⡀⣀⡀⡀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⢏⢠⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣾⣿⣿⣿⣿⣿⡿⠃⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢋⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣻⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣅⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡻⣽⡿⣿⢿⡟⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣷⣻⡽⠟⢻⢿⣿⡿⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⡷⡮⣛⢬⣿⣶⣾⣷⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡷⢻⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣟⢾⠀⡖⢢⢠⣄⡀⡆⡀⠄⢰⣒⡆⠄⡄⣶⢠⣤⢴⢴⢠⢤⢠⡄⠀⣖⡂⢄⠄⡤⡄⣤⡀⠤⣄⠤⡆⠠⡦⡤⡄⠐⢲⠂⠀⡄⢤⣤⣤⣆⣴⣠⣄⡠⠄⡦⡄⡆⡷⡄⣤⣄⣤⠀⠚⠳⢸⠴⠀⠓⠀⠀⡀⠠⠀⠀⠀ ⢿⠙⠀⠓⠊⠑⠚⠁⠃⠝⠀⠈⠒⠁⠓⠃⠛⠈⠒⠘⠚⠘⠘⠐⠊⠀⠓⠂⠋⠃⠗⠁⠒⠃⠀⠋⠒⠃⠀⠓⠑⠁⠀⠘⠀⠒⠃⠉⠂⠀⠈⠘⠐⠚⠐⠂⠃⠃⠃⠻⠧⡓⠂⠚⠀⢀⣤⣴⢰⠆⢀⡠⠺⠆⠄⠀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⢸⣿⣿⡧⣿⢟⢘⡃⡚⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⢻⣿⣿⣿⣿⣿⣿⡟⢛⣷⣿⣿⣿⣟⣿⣟⣻⡇⣭⠀⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢀⡀⠀⠀⢀⣹⣿⣿⣿⣿⡿⡡⢀⢾⡿⣽⣿⣿⣿⣿⣿⣯⣿⡅⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠅⢻⣿⣟⣻⣻⡝⣿⠀⠀⠀⠁⠀⠉⢻⣿⣿⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⢀⡉⢨⡵⢭⡈⢋⠁⣩⡀⣄⢃⡀⠀⠙⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⢈⠅⠄⠀⠀⠀⠠⡦⣸⠄⣠⠀⡤⠀⣥⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⢢⠁⠃⠠⠄⠀⠀⠜⠣⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠸⠇⠀⠀⠉⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⣌⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⣠⣤⣠⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣴⣤⣴ ⡀⠀⡀⢀⡀⢀⣀⣀⣀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⡀⣀⡀⡀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⢏⢠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣾⣿⣿⣿⣿⣿⡿⠃⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢋⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣅⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡻⣽⡿⣿⢿⡟⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣷⣿⡽⢟⠻⢿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⡷⡮⣛⢬⣿⣶⣾⣷⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⡰⣿⡿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⠔⠀⡖⢢⢠⣄⡂⡦⡀⡄⢰⣒⡆⡄⡄⣶⢀⣤⢴⢴⢠⢤⢠⠄⠀⣖⡂⢄⠄⡤⡀⢤⡀⡤⣀⠤⡆⠠⡦⡤⡄⠐⢲⠂⠀⡄⣤⣤⣤⡆⣴⢠⢄⣤⠄⡦⡄⡆⣵⡄⣤⣄⡤⠀⠓⠂⢘⠀⡀⠲⠀⠀⡀⠀⠂⠄⠀ ⠟⠘⠀⠓⠊⠑⠚⠁⠃⠝⠀⠘⠒⠃⠓⠃⠛⠘⠒⠘⠚⠘⠘⠐⠊⠀⠓⠒⠊⠂⠗⠃⠓⠃⠀⠋⠒⠃⠀⠓⠓⠃⠀⠘⠀⠒⠃⠋⠂⠐⠈⠘⠐⠚⠐⠂⠃⠃⠃⠿⣧⣷⠒⠚⠀⢠⣤⣾⢳⠆⠀⠠⠻⢗⠆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⢰⣿⣿⣧⣻⣟⢘⡃⡈⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠘⢿⣿⣿⣿⣿⣿⣿⠇⢓⣿⣿⣿⣻⣿⣿⣛⣻⣷⢬⠀⡀⠀ 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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢋⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣅⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡻⣽⡿⣿⢿⡟⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣾⣿⣷⣻⡽⠟⢻⢿⣿⡿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⡷⡬⣋⢬⣿⣶⣾⣷⣷⣿⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣷⢽⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⢶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⠐⠀⡖⢤⠀⣀⠀⡆⡀⡀⢠⣒⡄⡀⡀⣶⢀⢀⢠⢐⢀⢀⢀⠀⠀⣖⡂⡀⡀⡀⡀⠀⡀⡀⡀⡀⡆⠀⡄⡀⡀⠐⢲⠂⠀⡀⣠⣤⣤⡄⣴⢠⣠⣤⠀⡆⡈⣏⡿⡉⡩⣉⡅⠀⠛⠂⢘⢐⠁⠀⠀⢀⡀⠀⠆⠀⠀ ⠞⠀⠀⠓⠚⠚⠛⠁⠃⡹⠀⠘⠒⠃⠓⠃⠛⠘⠛⠘⠚⠘⠘⠘⠓⠀⠓⠂⠊⠂⠗⠃⠛⠃⠀⠋⠒⠃⠀⠓⠓⠃⠀⠘⠀⠒⠃⠊⠂⠐⠈⠘⠘⠛⠐⠂⠃⠃⠃⠳⣃⣿⠓⠛⠀⠴⡄⣷⠲⢂⠀⠀⠸⠆⠄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣹⣿⣿⡧⣿⡞⢘⡃⠊⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠆⠘⣿⣿⣿⣿⣿⣿⣿⠇⢋⣿⣿⣿⣿⣿⣿⣟⣺⡗⢭⠠⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢀⡐⠀⠀⢘⣿⣿⣿⣿⣿⡿⡰⠀⢽⡿⣽⣿⣿⣿⣿⣾⡇⣿⡔⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠁⢹⣿⢟⡻⣛⡟⣿⠀⠀⠀⠉⠀⠉⢻⣿⣿⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢀⡈⢨⡵⣩⡀⢋⠀⣩⠀⣄⢂⠀⠀⠙⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠄⠈⠀⠠⡂⢸⠆⡡⠀⣴⠀⣦⣀⡅⠀⠀⠀⠀⠀⠀⠀⠀ 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⣿⣿⣿⣿⣿⣿⣿⣷⣿⣽⠟⢻⢿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡷⡬⣋⢨⣿⣶⣾⣷⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⢵⣿⠿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⠘⠉⡬⢭⢀⡀⡀⡄⡀⡀⢠⠤⡄⡀⡀⣤⢀⣀⢠⣠⢀⣀⢁⡀⠀⡤⠄⡀⡀⣀⡀⣀⠀⣀⡀⣀⡄⢀⣄⣀⡀⠠⢤⠄⠀⡀⣠⣠⣤⡄⣤⢠⣄⣤⡀⣌⡉⡍⣛⡉⣉⣉⣉⠈⠛⠂⢘⠀⠁⠀⠀⢀⡀⠀⠂⠄⠀ ⠖⠂⠀⠧⠜⠪⠽⠁⠇⡳⠀⠘⠥⠃⠧⠇⠿⠘⠭⠸⠼⠸⠸⠨⠕⠀⠧⠄⠞⠆⡧⠃⠭⠇⠀⠟⠤⠇⠀⠧⠣⠃⠀⠸⠀⠦⠇⠚⠄⠐⠘⠸⠨⠽⠰⠄⠇⠇⢇⢧⡧⣯⠟⠽⠀⠴⡄⣿⠳⠆⠀⠀⠺⠖⠄⠀⠒⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣶⣾⣿⣿⣷⣶⡆⠀⠀⣱⣿⣿⣧⣷⠏⠘⡃⡈⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠘⣿⣿⣿⣿⣿⣿⣿⠇⢃⣿⢿⣿⣿⣟⣿⣟⣺⠷⢕⠠⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢀⡐⠀⠀⢈⣿⣿⣿⣿⣿⣿⡰⠀⢽⡿⣽⣿⣿⣿⣿⣾⣯⣿⡍⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⡅⢹⣿⢟⡛⢻⡏⣿⡀⠁⠀⠩⠀⠉⢻⣿⣿⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢀⡈⢨⡅⢭⡈⠛⠈⡩⡀⣄⢂⠀⠀⠙⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠨⡄⢺⠄⣡⠠⣴⠀⣦⣠⡅⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠄⡊⠀⠄⠀⠀⠜⠡⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⡿⠌⠉⡬⢅⢀⡀⡀⣄⠀⡀⢠⠤⡄⠀⡀⣤⢀⣀⣠⣠⢀⣀⢁⡀⠀⡤⠄⡀⡀⣀⡀⣀⠀⣀⠀⣀⡄⢀⣄⣀⡀⠠⢤⠄⠀⡀⣠⣠⣤⡄⣤⢠⣥⣤⡀⣌⡉⣝⣉⡉⣉⣉⣁⠈⠛⠀⣿⠀⠀⠀⠀⢀⡀⠀⠂⠀⠀ ⠟⠠⠀⠧⠜⠪⠽⠃⠇⡳⠁⠘⠭⠇⠧⠇⠿⠘⠭⠸⠼⠸⠸⠨⠔⠀⠯⠥⠞⠆⡧⠃⠭⠇⠀⠟⠤⠇⠀⠧⠧⠇⠀⠸⠀⠦⠇⠞⠄⠰⠘⠹⠠⠽⠢⠄⠇⠇⠟⣇⡧⣿⠭⠵⠀⢶⣆⣷⠰⠆⠄⠀⠲⠆⠄⠀⠂⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣶⣶⣿⣿⣷⣶⡆⠀⠀⣸⣿⣿⣧⡿⠟⢘⡧⡋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⠘⣿⣿⣿⣿⣿⣿⣿⠉⢋⣿⣿⣿⣿⣿⣿⣟⣻⡗⣽⠢⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢀⡀⠀⠀⢘⣿⣿⣿⣿⣿⣿⡰⠐⣿⡿⣽⣿⣿⣿⣿⣿⣯⣿⡕⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠄⢻⣿⣟⡻⡻⡟⣿⠈⠈⠀⠁⠀⠉⢻⣿⣿⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢀⡈⢈⡧⢩⠈⢋⠅⡩⠀⣄⢂⠀⠀⠙⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠀⠀⠀⠀⠀⠀⠈⠅⠀⠄⠈⠀⠠⡄⢺⠅⡡⠠⡔⢀⣥⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠁⡋⠀⠆⠀⠀⠜⠡⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠻⠀⠀⠀⠈⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⣈⠢ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣠⣠⣤⣠⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣴⣴⣤ ⣀⠀⠀⠀⡀⢀⣀⣀⣀⣀⣀⣀⢀⣀⣀⣀⣀⣀⣀⡀⢀⡀⢀⡀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⢏⢤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣾⣿⣿⣿⣿⣿⡿⠃⢲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢫⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣻⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣥⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡻⣽⡿⣿⢿⡟⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣷⣻⡽⠟⢿⢿⣿⡿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡷⡮⣋⢨⣿⣶⣾⣷⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⡻⣿⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⢜⠀⡭⢅⢀⡀⠄⣄⠀⡀⢀⠤⡀⡀⡀⣤⠀⣀⣠⣠⢀⣀⢁⡀⠀⡤⠄⡀⡀⣀⠀⣀⠀⣀⠀⣀⡄⢀⣀⢀⠀⠠⢤⠄⠀⡀⣡⣩⣤⡄⣤⢤⣠⣤⡀⣄⡉⡍⣹⡍⣉⠉⣉⠈⠛⠆⣋⠄⠀⠱⠀⠀⡀⠀⠂⠀⠀ ⠿⠸⠀⠧⠜⠲⠼⠅⠇⡳⠁⠸⠭⠇⠧⠇⠿⠸⠬⠸⠼⠸⠸⠨⠖⠀⠯⠥⠜⠄⡧⠇⠦⠇⠁⠟⠤⠇⠀⠧⠧⠇⠀⠸⠀⠦⠇⠟⠄⠰⠐⠹⠰⠼⠢⠄⠇⠇⠇⣿⣇⡯⠭⠵⠀⡤⣴⣷⣻⡆⠄⡶⠻⢎⡶⠀⠒⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣶⣶⣿⣾⣷⣶⡶⠀⠀⣹⣿⣿⣷⣿⣟⢘⡇⢙⠐⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠈⢿⣿⣿⣿⣿⣿⣿⠏⣿⣿⢿⣿⣿⣿⣿⣿⣻⣷⢯⠀⡁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢀⡄⠀⠀⢈⣿⣿⣿⣿⣿⣿⡰⢴⣿⡿⣿⣿⣿⣿⣿⣿⡯⣿⡅⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⡡⢻⣿⣟⣻⣻⣕⣿⡂⠁⠀⠩⠀⠉⢹⣿⣿⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⡀⢨⡈⢨⡵⣼⡋⢋⠑⣩⢀⣌⢧⡀⠀⠙⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠀⠀⠀⠀⠀⠀⠈⠅⡁⠀⠈⠀⠠⡥⢼⡆⢡⠨⣴⠀⣥⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠁⡚⠀⠆⠀⠀⠜⠱⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠻⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠃⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠠⣌⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣠⣤⣤⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣴⣤⣤ ⣀⢀⢀⠀⡀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⢀⡀⣀⡀⡀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⢏⢤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣾⣿⣿⣿⣿⣿⡿⠃⢲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢫⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣽⡿⣿⢿⡟⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣷⣿⣽⢟⢻⢿⣿⡿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡾⣻⢸⣿⣶⣾⣷⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⢹⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⠼⠁⡭⢍⢀⡀⠄⡄⠀⡀⢀⠤⡀⠀⡀⣤⠀⡀⢀⣠⢀⡀⢁⡀⠀⡤⠄⡀⡀⢀⠀⢀⠀⢀⠀⡀⡄⢀⣀⢀⠀⠠⢤⠄⠀⡀⢡⣤⣤⡄⣤⢠⣄⣤⠀⣌⡙⣿⣟⠋⢛⠛⣁⠈⠳⠀⣛⠄⠀⠰⠀⠀⡀⠀⠂⠀⠀ ⠟⠒⠀⠧⠜⠰⠾⠅⠇⠳⠁⠸⠭⠆⠧⠇⠿⠸⠾⠸⠼⠸⠸⠸⠆⠀⠯⠅⠝⠅⡧⠇⠶⠇⠁⠗⠥⠇⠀⠧⠧⠇⠀⠸⠀⠦⠇⠟⠄⠰⠐⠹⠰⠾⠢⠄⠇⠇⠟⣇⡇⣷⠯⠶⠀⢤⢾⣷⢲⠆⠀⠠⠻⢇⠆⠀⠚⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣶⣷⣾⣿⣷⣶⠆⠀⢈⣿⣿⣿⣧⣿⠟⢘⡃⠉⠀⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠸⣿⣿⣿⣿⣿⣿⣿⠈⣟⣿⢿⣿⣿⣟⣿⣟⣻⡗⣬⡂⡀⠀ 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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣾⣿⣿⣿⣿⣿⡿⠃⢲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢫⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣻⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣥⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡻⣽⡿⣿⢿⡟⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣷⣿⡽⠟⢻⢿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡷⡮⣋⢨⣿⣶⣾⣷⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡷⠹⣯⠿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⢶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⠘⠚⣚⣃⠀⠀⠀⡀⠀⠀⢀⣀⡀⠀⠀⣀⠀⠀⢀⢀⠀⠀⠁⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡀⠀⠀⢀⣀⡀⠀⠀⢠⣠⣤⡀⣄⠠⢄⡀⠀⡘⠛⡿⠟⠛⠛⠛⠃⠈⠳⠀⣚⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀ ⠗⠐⠀⣇⠼⢜⢳⠁⡇⢧⠁⠸⣁⠇⣇⡇⠿⠸⡛⠸⣹⢸⢹⢘⡣⠀⣇⡀⡕⡅⣏⠇⡛⡇⠉⡗⡍⡇⠈⣏⢏⠇⠀⢸⠀⢆⡇⠵⡀⠰⠰⢻⢘⢳⠨⡁⡏⡇⡇⣏⡇⣿⠯⡻⠀⢤⢾⣿⢰⠆⢀⠀⠰⠆⠀⠀⠂⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⢀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣴⣶⣿⣿⣷⣶⠀⠀⠈⣻⣿⣿⣇⣿⠏⢸⡇⠉⠀⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⠈⢏⣿⣿⣿⣿⣟⣻⣛⣸⠗⣐⠂⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢀⡀⠀⠀⢹⣿⣿⣿⣿⣿⣧⡀⠀⢽⡿⣽⣿⣿⣿⣿⣿⡇⣞⡃⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣟⡋⢛⠅⣿⠀⠈⠀⠁⠀⠉⠹⣿⣿⡿⠋⠀⠀⠀ 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⣿⣿⣿⣿⣿⣿⣿⣷⣿⡽⢟⣻⢿⣿⡿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡷⡮⣋⢨⣿⣶⣾⣷⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡷⣱⣿⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⢞⠓⣛⡓⠀⠀⡀⡀⠀⠀⢀⣀⡀⠀⠀⣀⠀⠀⢀⢀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡀⠀⠀⢀⣀⡀⠀⠀⢠⣨⣤⡀⣄⢠⣤⣤⠀⡀⠛⡛⢿⡟⠛⠛⠛⠈⠛⠀⣟⢀⠀⠀⠄⠀⠀⡀⠂⠀⠀ ⢗⠠⠀⣇⡸⢜⣳⡇⡏⢦⠃⢸⣒⡇⣇⡇⣿⢰⣛⢹⣹⢸⢹⢘⡡⠀⣗⣂⡱⡁⣏⡆⣝⡆⠋⡶⣉⡇⠈⣏⣎⡇⠀⢸⠀⣆⡇⡶⡁⢰⠱⢻⢨⣳⢎⡁⡏⡇⡇⡏⡿⣟⣒⣫⠀⠠⣤⣷⢳⠆⠄⡠⠲⢇⠤⠀⢆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣾⣥⣤⣤⠀⠀⣸⣿⣿⣧⣿⣟⢘⡇⡋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠿⣿⣿⣿⣿⣿⣿⡟⢗⣿⢿⣿⣿⣿⣿⣟⣺⡷⢼⡂⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢀⡄⠀⠀⢀⣹⣿⣿⣿⣿⣯⡐⠠⢿⡿⣽⣿⣿⣿⣿⣿⡫⣿⡅⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠥⢻⣷⣟⡻⣛⡗⣿⠈⠀⠀⠉⠀⠈⠛⣿⣿⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡈⠨⡵⣩⡃⠻⠅⡭⢀⣄⢂⠀⠀⠙⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠀⠀⠀⠀⠀⠀⠈⠄⡀⠀⠈⠀⢬⡤⢸⠆⣠⠠⡴⠀⣥⣨⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠀⠒⠀⠄⠀⠀⠜⠣⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠟⣄⠀⠀⠁⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠉⠀⠈⠀⠀⠀⠊⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⢀⠀⠀⠈⠁⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠈⠀⠀⠁⠀⠁⠀⠀⠈⠀⠀⠀⢡⣵⣥⣵⣿⣿⣭⣤⡅⠀⢀⣿⣿⣿⣧⣿⢟⢼⡧⢋⠀⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠘⣿⣿⣿⣿⣿⣿⣿⠃⣛⣿⣿⣿⣿⣿⣿⣿⣻⣗⣭⠠⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢀⡄⠀⠀⢉⣿⣿⣿⣿⣿⡿⡰⠔⢿⡿⣿⣿⣿⣿⣿⣿⡿⣿⡅⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠐⠅⢻⣿⣿⡫⣻⣅⣿⡀⠈⠀⠁⠀⠈⠻⣿⣿⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⢐⡀⠀⠀⢀⠈⢨⡵⣽⡬⢋⡁⣭⢀⣄⢃⡀⠀⠙⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠀⠀⠀⠀⠀⠀⠈⠁⠁⠈⠈⠀⣨⡤⢾⠄⣡⠨⣴⠄⣥⣠⡅⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠂⠀⠀⣶⠁⡊⠁⠆⠀⠈⠜⠡⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠿⠂⠀⠀⠈⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠐⠄⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⣌⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣠⣤⣤⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣴⣤⣤ ⣀⢀⡀⠀⡀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⢀⡀⣀⡀⡀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⢏⢤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣾⣿⣿⣿⣿⣿⡿⠃⢲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢫⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣽⡿⣿⢿⡟⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣷⣿⡽⢿⣻⢿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡾⣻⢸⣿⣶⣾⣷⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⢽⣿⠿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⢌⠾⠾⠿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⣨⣤⡠⡀⢄⣤⣤⠀⠸⠿⠿⠿⠿⠿⠿⠇⠈⠓⠀⣾⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀ ⠻⠠⠀⡏⢹⡰⢦⠂⡇⣆⠂⢸⠭⡇⡆⡆⣿⢰⠶⢺⢺⢰⢲⠰⢆⠀⡯⠁⣢⡂⡖⡆⠶⡄⠒⣦⠒⡇⠐⡗⡖⡆⠈⢹⠁⡆⡆⣢⠂⢰⢣⢾⠰⢦⣔⠂⡗⡆⡟⣖⡦⣶⣶⢶⠀⢴⣆⣷⠲⠆⠄⠀⠲⢆⠄⠀⠀⠀ ⠁⠀⠀⠉⠁⠈⠉⠀⠁⠊⠀⠀⠉⠀⠉⠁⠉⠀⠉⠈⠉⢈⠈⢈⠁⠀⠉⠁⠁⠁⠋⠀⠉⠁⠀⠁⠉⠁⠀⠉⠈⠀⠀⠈⠀⠉⠁⠀⠁⠀⠀⠈⠈⠉⠈⢁⣁⣁⣝⣻⣿⣉⣁⡉⠀⠀⣾⣿⣿⡧⣻⢟⢐⡃⡋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠸⣿⣿⣿⣿⣿⣿⣿⠋⢃⣿⣿⣿⣿⣿⣿⣟⣻⡗⣤⡂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢀⡄⠀⠀⢙⣿⣿⣿⣿⣿⣿⡐⠐⢿⠿⣿⣿⣿⣿⣿⣿⡯⣿⡕⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⡄⢹⣿⣟⡹⢻⡇⣿⡀⠈⠀⠉⠀⠈⢹⣿⣿⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡈⢩⡥⣩⠀⢋⠅⣩⢀⣄⢂⠀⠀⠙⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⡌⢺⠇⣡⠠⡄⠀⣤⣠⡅⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠄⡚⠂⠆⠀⠈⠜⠡⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠛⠀⠀⠀⠈⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠂⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⣈⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣠⣠⣤⣠⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣴⣤⣤ ⣀⠀⡀⢀⡀⢀⣀⣀⣀⣀⣀⣀⣀⣀⢀⣀⣀⣀⣀⡀⢀⡀⣀⠀⡀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⢏⢤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣾⣿⣿⣿⣿⣿⡿⠃⢲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢫⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣻⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣥⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡻⣽⡿⣿⢿⡟⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣷⣿⡽⠟⢻⢿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡷⡮⣋⢨⣿⣶⣾⣷⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ䷩ 𝚕𝚒𝚗𝚎 1157 ╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕ (ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2023/11/02/Yleisradio_Oy_Yle_Acting_Like_a_Microsoft_Mouthpiece_Legacy_of_.shtml Gemini version at gemini://gemini.techrights.org/n/2023/11/02/Yleisradio_Oy_Yle_Acting_Like_a_Microsoft_Mouthpiece_Legacy_of_.gmi ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Yleisradio Oy (Yle) Acting Like a Microsoft Mouthpiece (Legacy of Mikael Jungner is Likely)⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Nov 02, 2023, updated Nov 02, 2023 Photo by Hannu Makarainen - https://www.flickr.com/photos/hannumakarainen/ 6973713591, CC BY-SA 2.0, https://commons.wikimedia.org/w/ index.php?curid=36879100 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Mikael_Jungner._Avoin_keskustelutilaisuus_Eduskunnassa_9. maaliskuuta_2012_'Mistä_ACTA-sopimuksessa_on_kyse?'_Järjestäjänä_SDP.⦈_ DAYS ago we mentioned toxic_spin_and_outright_misinformation (if not disinformation) by Yleisradio Oy (Yle), the national Finnish media, akin to BillBC in the UK (controlled_by_Microsoft_executives_and_repeatedly_bribed_by Bill_Gates_himself). Heck, look who has been put in charge of Yle and BillBC in recent decades. Internal_Microsoft_documents_shamelessly_admit_the_company_needs_to_take_over media_outlets. These specify ways to achieve such takeovers. When national broadcasters are targeted it means that taxpayers foot the bill for Biil and his propaganda apparatus - a highly immoral aspect given that Gates is a foreigner and a criminal (arrested several times already). Wait till we speak about Nadella's past some time later this month... Microsoft is not about technical work but about marketing, bribery, "lobbying", and mobbing (e.g. doxing critics and threatening their family members). Think of Microsoft software as the restaurant or pizza sold at the front shop of some mafia operation, acting as a bit of a cover for the likes of Bill Gates, who never even finished college and did not study computing. It's all about hoarding taxpayers' money (monopoly rents help drive up prices, as do patents) and using criminal activities to build and shield monopolies (without competition you need not excel at anything). Despite Microsoft and its PR agencies constantly_editing_(vandalising) Wikipedia, they cannot completely hide what's happening. Jungner, shown above, is one example of the Yle - Microsoft connection*. There are more. Maybe one day the Microsoft editors will get around to hiding this (maybe claiming it's "old" or "not important"), so we're making a screenshot right now: 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Mikael Jungner (born 20 April 1965, in Helsinki), is the former party secretary of the Social Democratic Party of Finland, a member of the Finnish parliament, and a former managing director of the Finnish national broadcaster Yle. Junger grew up on the Finnish west coast in the city of Vaasa. He started a five-year term as Managing Director of Yle on 1 May 2005. Although he sought another term, the political board of Yle replaced him with Lauri Kivinen, a member of National Coalition Party, on 1 May 2010. Jungner's term as the managing director of Yle is generally considered to have been a success.[1] Jungner was the director of information society relations at the Microsoft Corporation between 2002 and 2004. He was the former aide of previous Prime Minister Paavo Lipponen. It is commonly understood that Lipponen helped Jungner to get the Managing Director's position in Yle.[citation needed] In May 2010, Jungner was elected as the party secretary of the SDP.[2] Jungner's term proved to be a disappointment for the Social Democratic Party, which lost the 2015 elections.⦈ It was not even a technical role. As usual... why make better products when you can bypass technical decision makers and just "lobby" or bribe politicians and "suits"? Call the rivals of Microsoft "zealots" or "Microsoft haters"... to seal the back room (for back doors) deal. There is a new_example_today of poor reporting or misreporting by Yle in English (recent defunded by a lot). As one reader put it, Windows botnets are ultimately the vehicle for these attacks, yet this simple fact is pointedly ignored by the Microsoft media. The headline says "DoS attacks target Bank of Finland, Tax Administration," but what are the offending machines? "A pro- Russia hacker group has claimed responsibility," says the summary, but what is the enabler or facilitator here? Yle is blaming Russia instead of the back doors exploited by Russia, owing_to_Microsoft_and_the_NSA, along with the people who deploy those back doors and then shout "FUCKING RUSHANS!" Who put Windows out there in the first place? They're not a secret. Their names are on contracts signed and physically stored somewhere... and unlike Russians, they can be arrested without having to invade Russia or convince Putin to extradite his citizens. The American media also_seems_to_have_just_missed_the_point. "The metrics ought to include elimination of closed source products from the work environment," someone told us, "especially those from Microsoft. Well, we've been there before... and we plan to follow up with a video later today. █ ______ * There is a dead but important_article "about his time helping Lipponen violate the constitution," as a reader told us, noting that "only the whistleblower got in trouble over that." 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Yle vei ohjelmansa nettiin⦈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠁⠁⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⣄⣵⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣴⣶⣶⣶⣶⣶⣄⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠉⢻⣿⠟⠛⠛⢿⣦⣄⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡦⠀⠀⡁⠀⠀⠀⠀⢈⣥⣀⠴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠂⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⡰⡣⡀⢀⣀⣴⣿⣿⣗⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⡇⠀⠀⠀⢀⣀⣀⡀⢠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⡇⠀⠀⡜⡵⠒⠒⢌⢢⠻⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣷⣬⢲⠀⠀⠀⢻⣿⣿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⡇⠀⠀⠁⠀⠀⠀⡸⢸⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠛⢛⣿⡿⣿⣝⣻⣿⠃⠴⠆⠀⠀⠉⠁⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⡇⠀⣠⣤⡀⠀⢀⠔⡁⠀⡀⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⣸⠋⠀⠀⠉⠻⠿⠂⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠉⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣧⣾⣿⠟⣁⡠⠋⠀⣷⢰⡇⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣧⣤⣤⣤⣤⣤⣤⣬⣥⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣀⡀⠀⢰⣷⣤⣴⣤⣴⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠠⠀⢸⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⢰⣿⣷⣶⣷⣶⣴⣶⠦⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣆⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⢸⣿⣿⣿⣿⣿⣿⣿⣿⣇⢸⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠨⣿⣿⣽⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⢸⣿⣿⣿⣿⣿⣿⣿⣿⣏⢹⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⡇⢰⣿⣯⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣺⢸⣿⣿⣿⣿⣿⣿⣿⡟⠘⢸⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⣸⣿⣯⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⢛⣻⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⢸⣿⣿⣿⣿⣿⣿⣿⡿⢰⢸⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⠿⠿⠟⢿⡟⠋⠁⠀⠀⠀⠠⠤⢴⣿⣿⣿⣿⣿⣿⣿ ⣿⢸⣿⣿⣿⣿⣿⣿⣿⡷⠈⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠁⢸⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⡸⣿⠿⢟⣲⣿⣿⣿⣿⣿⣿⣿ ⣿⢸⣿⣿⣿⣿⣿⣿⡛⠒⠀⢸⣿⣿⣧⣀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠄⢸⣿⣿⡿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡟⢸⣿⣿⣿⣿⣿⣿⣀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠄⣼⣿⣿⣷⡩⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡇⣼⣿⣿⣿⣿⣿⣿⣿⣂⡀⢸⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⡇⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣻⣿⣷⣌⠃⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡇⣿⣿⣿⣿⣭⣭⡉⠈⠉⠁⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠃⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡋⠉⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠉⢿⠋⡏⣿⠟⣻⡛⡟⡻⡏⣿⣿⢙⢛⢛⢛⢻⢛⢛⢛⠻⣛⠟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣼⣤⣧⣧⣿⣦⣥⣦⣧⣶⣧⣿⣽⣼⣼⣼⣼⡼⠠⢺⣼⣤⣴⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭ ⣿⣿⠙⢻⠉⠛⠙⣻⣿⣿⡭⡟⡏⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⣿⣿⠿⣿⣿⣿⣿⢿⠿⠿⡿⣿⣿⣿⡿⣿⣿⡿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣼⣦⣤⣦⣼⣦⣤⣤⣤⣰⣤⣤⣤⣵⣯⣧⣷⣤⣾⣷⣤⣶⣤⣧⣦⣦⣴⣠⣴⣤⣤⣤⣴⣴⣬⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠻⠛⠛⢿⠿⠿⠟⡟⠻⢿⠿⠿⠿⠿⠿⠿⢿⡛⠿⠿⢿⠿⣟⢻⠛⣿⠻⠿⠿⠛⣿⢻⠛⠟⠛⢻⣿⠿⢿⡿⢻⡿⠿⠟⠿⠻⣿⢻⣿⠿⣿⢻⠿⠿⣿⡻⠿⡿⠿⠿⠿⣿⠿⠿⠿⢻⠿⡿⠿⠿⠿⠿⠿⡿⠿⠿ ⣿⣿⣶⣶⣶⣶⣶⣶⣶⣧⣴⣾⣶⣦⣴⣷⣶⣶⣿⣶⣶⣶⣾⣷⣷⣾⣶⣷⣶⣴⣾⣶⣿⣾⣶⣶⣶⣶⣿⣶⣾⣿⣾⣿⣾⣶⣶⣶⣿⣶⣿⣾⣾⣾⣷⣶⣿⣷⣶⣿⣾⣶⣶⣿⣴⣶⣾⣾⣼⣷⣶⣷⣾⣶⣿⣷⣶⣧ ⣿⣿⣩⣉⣯⣩⢫⣏⣉⣼⣹⣈⣁⣋⣫⣉⣽⣿⣉⣿⣍⣙⣉⣉⣝⣍⣉⣩⣏⣍⣼⣩⣈⣉⣿⣰⣈⣉⣍⣏⣁⣽⣯⣉⣉⣅⣈⣉⣍⣉⣙⣍⣩⣿⣉⣯⣉⠸⠏⠹⠀⠍⠩⠍⠉⠹⠽⠩⠉⠉⠯⠉⠉⠍⠈⠉⠽⠏ ⣿⣿⠿⠿⠿⠻⢿⠿⠿⣿⡟⠿⠿⠿⢿⠟⠿⠿⡿⠿⠿⠿⡿⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤ ⣿⠿⠤⠤⠯⠤⠵⠧⠤⠿⠧⠤⠯⠤⠴⠁⠈⠀⠁⠊⠀⠘⠛⠐⠂⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣤⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⣶⣶⣶⣶⢶⢶⣤⣀⠀⠀⠘⠛⠻⠿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⢿⣿⣿⡿⡿⣿⣿⣿⣿⢿⣿⣿⣿⣿⢿⢿⣿⣿⣿⣿⣿⢿⢿⣿⣿⣿⣿⣿⢿⣿⡿⣿⣿⣿⣿⣿⣿ ⣿⣟⣠⣤⣷⣀⣤⣴⣷⣡⣴⣤⣤⣼⣬⣄⣼⣬⣼⣼⣮⣤⣤⣼⣴⣤⣴⣦⣤⣄⣀⠀⠀⠀⠠⠬⣧⣥⣬⣤⣬⣼⣿⣧⣷⣥⣤⣤⣧⣥⣬⣰⣧⣥⣿⣦⣥⣥⣤⣬⣼⣿⣴⣤⣼⣧⣬⣤⣼⣤⣤⣤⣿⣤⣿⣿⣴⣤ ⣿⣿⠩⠋⠛⠟⠛⠙⡟⢻⡟⠋⣯⢫⠙⢻⡟⠛⣻⡏⣿⠉⡙⠟⠛⣿⢍⠉⠫⠋⢹⣿⠑⢶⡄⢀⠀⠈⠉⠋⠻⠟⠛⢻⠻⠛⠛⠛⠛⠙⢹⡟⢻⡟⠛⢹⡛⢛⣟⡏⡟⠛⡟⢛⣿⡏⣟⠛⢻⡟⠛⠋⢻⠏⠻⠛⣿⡏ ⣿⣿⣿⡿⢿⣿⡿⣿⣿⣿⣿⢿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡿⡿⡿⣿⢿⢿⣷⣶⣤⢤⡀⠈⠉⠛⠻⠿⢾⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⡿⣿⣿⣿⠿⡿⡿⣿⢿⣿⢿⣿⣿⣿⣿ ⣿⣿⣤⣦⣴⣦⣧⣯⣾⣤⣴⣼⣤⣷⣵⣤⣮⣶⣤⣻⣧⣼⣴⣤⣴⣴⣤⣷⣤⣦⣾⣤⣶⣧⣥⣤⣴⣤⣤⣮⣦⣼⣼⣧⣤⣦⣤⣤⣀⡀⠈⠙⠂⠤⢶⣦⣿⡧⢤⣾⣿⣽⣧⣤⣤⣎⣿⣵⣼⣼⣥⣿⣿⣠⣧⣦⣀⣷ ⣿⣿⡋⠙⡛⠛⣛⡛⠛⣻⠛⢋⣟⠋⠟⢻⠙⢻⢟⠛⠛⡻⠛⢛⠛⠉⠛⣿⣛⡛⢛⡟⠛⡋⠛⢟⠛⢟⢹⢛⡛⡏⣻⠛⠛⠟⢿⢙⠟⠟⠛⣲⡆⢠⡀⠀⠉⠁⠀⠙⠻⢻⡷⣾⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣶⣶⣷⣾⣾⣶⣶⣿⣶⣿⣿⣷⣷⣾⣶⣾⣷⣶⣶⣿⣶⣾⣶⣶⣷⣿⣶⣶⣾⣷⣿⣶⣷⣿⣶⣷⣾⣶⣾⣷⣿⣶⣿⣷⣿⣶⣷⣷⣶⣿⣷⣾⣶⣷⣆⣀⣀⣀⣀⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠻⠿⡿⠿⢿⠿⠿⣿⠿⠿⠿⢿⣟⢻⠿⢿⢟⡿⠿⠿⣿⠻⡿⣿⢿⠟⣿⢿⠟⢿⢿⢿⡿⠿⢻⠿⠿⡿⡿⠿⠿⣿⡿⠟⡿⢿⢿⠿⠻⠟⡿⠿⢿⠿⢿⠿⢻⡟⡟⠿⢿⡟⠛⠛⡛⡛⠛⠛⠛⠛⡿⣛⢿⢿⢿⢿ ⣿⣯⣶⣶⣿⣤⣾⣶⣶⣿⣾⣶⣶⣾⣷⣾⣶⣾⠒⠓⠒⠚⠒⠒⠚⠛⠓⠒⠛⠚⠒⠒⠛⠚⠓⠒⠒⠒⠚⠓⠓⠒⠚⠒⠓⠒⠂⠛⠚⠒⠒⠒⠒⠒⠛⠒⠚⠒⠒⠓⠒⠒⠊⠁⠀⠀⠀⠁⠀⠀⠀⠀⠉⠀⠀⠈⢰⣷ ⣿⣿⡿⢿⠿⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⡟⢻⣿⣟⣻⣿⣿⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⣿⣻⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿ ⣿⣿⣷⡌⢰⡇⢸⢐⡂⣿⣷⠘⢁⡆⢒⢈⠀⣿⡏⢰⡆⠁⢰⡄⡇⢘⢐⡂⡇⢸⢠⡄⣦⢸⠀⠂⡇⢰⡄⡇⣐⠸⠁⡂⢹⣿⠀⣦⢸⠁⡂⢱⢰⡆⣾⢸⠀⡇⢰⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣿⣷⣾⣷⣾⣶⣶⣿⣿⣷⣾⣷⣶⣾⣶⣿⣿⣶⣶⣷⣾⣷⣃⣸⣶⣶⣷⣾⣾⣷⣿⣾⣶⣶⣶⣾⣷⣷⣶⣾⣶⣶⣾⣿⣶⣿⣾⣶⣶⣿⣶⣷⣾⣾⣶⣷⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⣿⣿⠿⠿⢿⠿⠿⠿⣿⡿⡿⠿⡿⣿⢿⠿⢿⠿⢿⠿⢿⢿⣿⠿⡿⢿⠿⢿⢿⠿⡿⡿⣿⠿⢿⡿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣧⣯⣵⣥⣼⣼⣼⣵⣵⣤⣧⣮⣦⣤⣴⣥⣤⣬⣽⣸⣭⣤⣥⣬⣥⣥⣽⣼⣧⣧⣷⣬⣼⣇⣯⣍⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠀⡠⡀⡟⡿⠛⠛⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣤⣥⣥⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣧⢱⢘⠠⣽⠳⠠⢃⠳⠨⠄⢸⡇⠆⠾⢰⠉⠎⠱⠸⡆⣿⢰⢈⠦⡀⢨⠆⠕⠉⠎⣿⢑⡹⢸⠦⡅⢬⢰⠁⠎⢰⠸⣿⣿⠴⡁⡎⢈⠆⠎⣿⠀⡷⠸⠹⡇⡰⠰⢹⡆⠱⠈⡆⡁⢎⠘⠆⠓⠸⢰⢹⣿⣿⣿⣿ ⣿⣿⠿⢿⢿⡟⢿⢿⡿⡿⠿⠿⠛⠿⢿⣿⠿⡿⢿⠻⠿⢻⠿⡿⢿⠿⢿⡿⠿⠿⠿⠿⠛⣿⢿⠿⡿⢿⠿⠿⡿⠿⢿⠿⣿⠿⠾⠟⡟⢻⡟⡟⢻⠛⢿⠿⠿⠿⢿⠿⠿⠟⢻⠿⡿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣯⣦⣷⣆⣤⣼⣧⣧⣤⣬⣤⣬⣴⣶⣥⣾⣿⣠⣤⣼⣧⣧⣤⣤⣽⣧⣴⣤⣶⣥⣤⣿⣥⣤⣥⣬⣤⣧⣤⣤⣬⣧⣿⣤⣤⣥⣥⣬⣇⣤⣬⣤⣮⣤⣦⣤⣼⣄⣥⣦⣬⣤⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣯⣽⠉⠏⡏⢨⡅⢭⢉⢉⢏⢉⠉⡩⢉⠏⠉⣿⡍⡍⢹⢙⠭⡫⠅⢩⠉⡩⢉⠏⠹⣿⣧⣤⢡⡆⢉⢹⡏⠩⠀⢩⠨⠀⡇⠸⣿⠍⡋⢹⢈⢏⢉⠁⢹⠉⡇⢉⠉⡉⢩⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⢿⡿⡿⢿⠿⠿⡿⢿⡿⢿⢻⠿⡿⠿⠿⣿⠿⠿⡿⢿⠿⠛⡿⢿⠿⣿⢿⠿⡿⠿⡿⢿⠿⡿⢿⣿⠿⢻⠻⡿⢿⠻⡿⢿⢿⠿⡿⢿⠿⡿⢿⣿⣿⠻⡿⠿⢿⠿⡿⠿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣖⣡⣃⣄⣰⣀⣇⣝⣘⣍⣃⣰⣋⣜⣂⣇⣿⣸⣸⣄⣳⣘⣀⣝⣘⣸⣿⣜⣠⣃⣇⣜⣢⣓⣤⣸⣏⣃⣸⣀⣛⣜⣀⣛⣜⣈⣀⣟⣢⣐⣆⣇⣻⣏⣤⣁⣇⣳⣘⣆⣇⣝⣀⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡛⠛⡟⠛⠟⣿⠙⡟⢻⢻⡏⠻⠻⠛⣿⢻⠛⡟⡻⢻⡿⠻⢻⡟⣛⠻⡟⠟⡻⠛⡟⢻⠛⡟⠋⢛⠟⢻⠛⡟⡻⢻⡏⠻⠋⢛⠻⠛⠟⡻⠛⠟⡏⣿⡟⠟⠋⢹⠛⣿⢛⠛⠛⡏⢹⠻⠏⡛⢻⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣶⣶⣷⣶⣶⣾⣶⣶⣾⢾⣷⣶⣶⣶⢼⣶⢶⢶⣶⣾⣵⣶⣾⣷⣿⣾⣶⣷⡷⢦⣶⢶⠾⣶⡷⣶⣶⣶⢶⣶⣶⣾⣷⣶⣶⣷⣶⣶⢶⣶⡷⣶⡶⡼⡷⢶⡷⢶⣶⣾⡾⣾⣶⣷⡶⢾⠷⡶⢾⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣧⣚⣿⣰⣀⣆⣐⣐⣀⣐⣀⣁⣀⣿⢀⣀⣸⣀⣕⣪⣀⣃⣐⣄⣿⣀⣀⣆⣄⣐⣀⣐⣀⣻⣇⣀⣃⣀⢈⣀⣀⣰⡀⣂⣇⣘⣀⣿⣨⣂⣀⡎⣄⣆⣂⣘⣇⣘⣰⣈⣆⣎⣰⣆⣃⣸⣀⣻⡟⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⢻⠟⢻⠙⠻⢛⢻⡟⡻⡛⠋⣳⠻⠛⢿⢻⡏⢛⠹⠛⠟⢻⡟⡛⡏⢹⠉⡏⠉⠹⡋⢟⢏⢹⡟⡟⠚⡋⢟⢛⠗⡻⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣷⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣯⣼⣬⣮⣵⣴⣵⣼⣼⣇⣵⣬⣤⣧⣶⣥⣿⣬⣧⣮⣴⣥⣶⣾⣇⣥⣮⣮⣵⣥⣤⣶⣤⣦⣮⣼⣧⣥⣬⣦⣮⣬⣶⣵⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⢿⡿⢿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⠿⡿⣿⣿⣿⣿⣿⢿⣿⣿⣿⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣷⣾⣐⣺⣇⣰⣱⣀⣂⣼⣇⣐⣀⣾⣀⣐⣀⣸⣇⣮⣒⣐⣆⣀⣀⣂⣏⣄⣰⣐⣕⣂⣆⣀⣰⣘⡿⣀⣀⣆⣠⣐⣸⣧⣂⣀⣃⣀⣃⣸⣇⣐⣰⢠⣢⣀⣂⣀⣳⣸⣔⣡⡽⣀⣸⣇⣐⣀⣂⣗⣨⣿⣿⣿⣿⣿ ⣿⣿⢟⠋⡻⠙⠻⢛⠛⡟⠛⣿⠛⠛⠏⡛⢻⡟⠛⡟⢛⠟⠟⠟⢻⡛⡿⠛⢛⡛⢻⡏⠛⡏⢟⠛⠟⠛⣻⢛⡟⠏⢛⢿⢛⠟⠛⡟⠋⢛⡛⢛⠟⠛⠟⡛⠻⠻⡟⣛⠛⡟⢛⢟⠹⡻⠛⠛⡟⢻⣿⣛⠛⡏⠛⣿⣿⣿ ⣿⣿⣷⣶⣧⣴⣶⣾⣶⣶⣶⣿⣶⣶⣶⣶⣶⣷⣶⣶⣶⣷⣶⣶⣶⣷⣿⣶⣾⣶⣾⣥⣶⣶⣷⣶⣶⣶⣿⣴⣶⣶⣾⣾⣾⣶⣶⣶⣶⣶⣶⣶⣾⣶⣶⣶⣶⣶⣷⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣷⣶⣿⣿⣿ ⣿⣿⣭⣋⣉⣟⣀⣳⣹⣿⣙⣹⣈⣉⣯⣈⣁⣘⣏⣻⣋⣿⣏⣋⣏⣉⣹⣉⣻⣁⣋⣋⣙⣹⣍⣹⣏⣹⣉⣉⣇⣉⣹⣉⣿⣋⣹⣁⣹⣍⣉⣏⣟⣏⣁⣙⣏⣈⣻⣉⣏⣈⣯⣉⣹⣙⣿⣡⣋⣹⣉⣭⣍⣻⣉⣿⣿⣿ ⣿⣿⢿⠟⠿⢟⠟⠛⠻⠿⣿⠿⢿⡿⠻⣿⠿⠿⢿⠻⢿⡿⢿⠿⢿⠿⠻⡿⠿⡿⠟⠻⠿⡿⢿⠿⢿⡿⠿⠿⠿⢿⠿⢿⠿⠟⣿⡿⠿⠛⠟⢿⡿⠿⢿⠛⢻⡟⢿⣿⠻⡟⠿⠿⣿⠿⢿⡟⠿⡿⢿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣧⣦⣥⣬⣤⣤⣵⣦⣿⣦⣤⣥⣠⣽⣤⣥⣾⣠⣬⣧⣼⣤⣵⣧⣄⣵⣤⣮⣤⣬⣴⣥⣮⣬⣼⣧⣤⣴⣥⣤⣤⣦⣧⣤⣭⣷⣽⣤⣬⣼⣿⣤⣽⣤⣼⣧⣧⣿⣤⣥⣼⣤⣷⣥⣥⣦⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡟⠉⠁⡫⠩⠏⠉⠉⠹⡏⠙⠉⡭⠈⠉⠍⢹⢸⠉⠉⠃⠉⢩⠉⠩⠉⠙⠉⣿⠨⠉⠝⡉⠩⠉⠘⠉⢩⢋⢨⢩⠉⠏⠉⠙⣽⣿⠹⠉⠩⠉⠈⠉⡍⡏⠍⠉⢫⠉⠉⠃⠉⢙⠅⠉⡋⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡾⡿⢿⠿⡿⣿⡿⠿⡿⣿⡿⠿⢿⢿⣿⢿⡿⢿⠿⠿⢶⣿⢿⢿⡾⡿⡿⢿⣿⣿⣿⣷⣿⣿⣿⣾⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣯⣤⣤⣤⣥⣼⣬⣤⣼⣼⣭⣤⣤⣼⣿⣬⣥⣼⣤⣤⣼⣯⣤⣮⣬⣬⣮⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠏⠹⠛⡛⠛⢻⠻⠛⡛⡻⠛⠛⡟⡻⠙⡟⠉⢛⢻⢻⠛⢻⡏⠛⡟⠻⢹⠟⢿⡟⠟⡛⠙⢟⢻⢹⠉⢹⠋⠙⡟⡿⡛⢻⡿⢻⢹⠛⠻⢟⠋⠹⠛⠛⣿⢻⡿⠛⠹⠻⠛⣿⣯⢫⠙⣛⡛⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⡿⣿⣿⢿⣿⠿⠿⡿⡿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⠿⠿⠿⣿⡿⢿⠿⣿⣿⣿⢿⣿⣿⢿⣷⣿⣿⣿⣿⣿⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⣿⣿⣿⣿⠿⣿⣿⣿⣿ ⣿⣿⣎⣄⣠⣜⣐⣠⣑⣀⣛⣧⣣⣀⣐⣔⣂⣻⣂⣐⣠⣀⣀⣜⣄⣿⣀⣘⣗⣰⣡⣄⣠⣃⣀⣻⣐⣂⣐⣂⣄⣊⣀⣿⣀⣳⣠⣰⣡⣠⣢⣀⣿⣆⣶⣡⣐⣄⣐⣷⣘⣿⣀⣇⣀⣜⣀⣚⣇⣘⣀⢧⣂⣀⣜⣸⣿⡇ ⣿⣿⢟⠛⣻⡟⣛⠛⠛⡛⠛⣿⠛⢻⠛⢛⠛⣿⡟⢻⠛⡏⢙⠙⣻⣟⢻⠙⠻⡛⣿⠛⠛⢛⠹⡛⠙⡟⠛⡛⠛⡻⠛⢛⣻⢛⠻⠛⠛⢻⢛⠛⠟⣻⠙⣻⠛⡟⠙⠛⠻⠋⠛⡟⠛⢻⡟⠛⡟⢛⢛⠛⠟⠛⡛⣿⣿⣇ ⣿⣿⣷⣶⣿⣷⣿⣮⣶⣶⣶⣿⣶⣶⣶⣶⣶⣾⣷⣷⣶⣶⣶⣶⣾⣿⣾⣶⣾⣷⣿⣶⣶⣶⣾⣶⣶⣶⣶⣷⣶⣷⣷⣶⣾⣶⣷⣷⣶⣾⣾⣮⣾⣾⣶⣶⣶⣶⣶⣶⣶⣷⣶⣶⣶⣶⣷⣶⣶⣶⣾⣶⣶⣶⣷⣿⣿⡿ ⣿⣿⣷⣈⣌⣀⣰⣹⣈⣣⣁⣻⣀⣣⣙⣿⣘⣌⣁⣀⣡⣁⣀⣙⣌⣀⣁⣸⣗⣀⣎⢈⣈⣇⣰⣉⣀⣿⣡⣑⣍⣇⣀⣇⣘⣁⣀⣎⣀⣽⣁⣸⡏⣂⣰⣁⣀⣷⣹⣣⣁⣀⣣⣉⣘⢻⣸⣀⣈⣌⣀⣾⣿⣿⣿⣿⣿⡇ ⣿⣿⢿⠿⠟⠿⡿⠿⣿⡟⢟⠟⠿⠿⠻⡿⠻⢿⠿⠿⡿⡿⢟⠟⠻⢿⠿⠿⠿⠻⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧ ⣿⣿⣷⣷⣶⣶⣵⣾⣯⣷⣾⣶⣷⣽⣾⣼⣶⣧⣾⣷⣷⣧⣾⣶⣶⣮⣷⣽⣷⣶⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣶⢰⢸⠉⡹⠈⠩⣻⡹⡁⡍⡹⡅⢩⡍⢈⢯⠉⣿⠍⠹⠉⠹⡏⠉⢹⠉⢭⡉⣿⡍⡹⡅⠸⣹⡉⣿⠍⢹⢹⠩⠩⠁⠹⠹⣿⡩⠁⠋⢹⡯⡉⣍⡇⡹⡁⡉⡩⡁⡿⠏⣿⡈⡝⡍⡁⢹⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⠿⠿⢿⠛⠿⠿⠿⢿⣿⣿⠷⡿⠿⠟⡟⠿⠿⠿⠿⢿⠿⣿⡿⢿⠻⢿⠻⠿⠿⠿⠟⠻⢿⠿⣿⠻⠿⡿⠿⠿⠿⠿⠿⣿⠿⠓⢿⠿⠿⢿⠻⢿⠿⣿⠻⠿⢿⠟⠿⠿⠿⢿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣯⣤⣤⣀⣬⣼⣼⣯⣿⣭⣤⣽⣤⣥⣧⣤⣤⣼⣥⣵⣥⣽⣿⣼⣤⣴⣤⣤⣧⣤⣥⣤⣵⣧⣿⣬⣤⣤⣤⣤⣤⣤⣤⣿⣥⣤⣦⣧⣤⣽⣤⣬⣤⣽⣬⣤⣥⣦⣤⣥⣤⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⡟⡍⠙⠙⢩⠉⢋⠋⠙⡹⠩⠉⣿⢩⡝⠹⠻⠉⠍⠉⣭⠙⠙⠉⣿⠋⢹⠋⠙⡅⠋⡋⢹⡏⠉⠏⠋⣽⡟⠋⡏⠩⢋⠇⠉⡏⢨⢏⠉⡝⠉⡋⠉⡝⡏⠻⡙⠀⡝⠙⡙⠉⢋⠏⠝⠙⢿⢩⠉⢹⠉⠭⠉⣿⣿⡇ ⣻⣿⣿⣿⣿⣿⢿⣿⡿⣿⣿⢿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡿⢿⣿⡿⣿⡿⣿⣿⠿⣷⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣾⣤⣤⣿⣤⣧⣧⣼⣧⣼⣼⣴⣾⣤⣧⣴⣧⣤⣧⣷⣭⣶⣤⣧⣤⣽⣤⣧⣧⣼⣦⣴⣨⣦⣼⣤⣤⣤⣦⣦⣧⣮⣼⣤⣤⣮⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟ ⣿⣿⣏⠏⠛⢹⣯⢫⠙⣟⡟⡛⠛⣿⡛⢻⠛⡛⠛⠋⢻⠛⣻⡟⢹⡟⠛⣛⢻⡛⠛⡟⠉⢻⡋⢛⡛⢻⠛⠻⡟⢛⣿⠙⣟⠙⠙⢫⠛⣻⡛⠋⢻⣛⢻⢛⠛⢯⠛⡟⣛⡻⢻⢉⡟⣛⢻⢻⠙⠟⠛⡟⡛⡻⠛⢻⣿⡿ ⣿⣿⣿⣷⣾⣷⢿⣾⣾⣾⢿⣾⣷⣿⣶⣾⢶⣿⠷⣶⣷⣶⣿⣶⣷⡷⠿⣶⣷⢷⣿⡾⣶⣷⣷⣷⣿⣾⣷⣾⣶⣾⣿⣾⣾⣶⣦⣷⣶⣿⡶⣶⣷⣶⣷⣶⣦⣷⣶⠿⣶⣷⡷⣶⣷⣶⣾⣾⣾⣶⣶⣷⣶⣷⣷⣾⣿⣿ ⣿⣿⣂⣀⡀⣂⣀⣶⣀⣃⣐⣀⣅⣀⣎⣻⢨⣂⣀⣀⣻⣰⣆⣘⣀⣀⣀⣔⣕⣀⣘⣇⣀⣀⣰⣱⣀⣀⣀⣂⣀⣘⣇⣀⣀⣘⣀⣇⣂⣀⠆⣐⣄⣀⣻⣀⣅⣀⣒⣀⣰⣯⣂⣰⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⡛⢻⠙⡋⢛⠛⠛⠛⢻⠛⣿⠛⠟⠿⠛⡛⠛⠙⡛⢻⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣷⣾⣶⣶⣶⣷⣶⣶⣶⣶⣿⣾⣾⣿⣶⣷⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣿⣿⣿⠿⣿⣿⢿⣿⣿⣿⣿⣿⠿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣇⣟⣈⣀⣀⣹⣰⣁⣀⣪⣂⣨⣀⣀⣿⣆⣇⣀⣱⣸⣖⣀⣱⢈⣊⣰⣰⣀⣘⣀⣐⣈⣏⣊⣰⣿⣀⣁⣁⣀⣂⣰⣡⣀⣀⣘⣇⣶⡀⣉⣊⣀⣟⣤⣃⣀⣁⣈⣆⣁⣁⣀⣘⣇⣎⣂⣀⣆⣇⣋⣐⣿⣿⣿⣿⡇ ⣿⣿⣿⠿⣿⠿⣿⠿⢿⠟⢻⢿⢿⣿⠿⢿⡿⢿⠟⢻⡛⢿⠛⣟⢿⠻⣿⠿⣿⠿⡿⡟⠿⠟⡿⣿⠿⡿⡟⢿⡿⠟⢿⠿⢿⢿⣿⡿⠻⣿⢿⢿⣿⡛⡻⢿⡿⡿⠻⠿⡿⠻⣿⠿⢿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣷⣶⣷⣶⣷⣶⣾⣶⣾⣶⣾⣿⣴⣾⣷⣾⣶⣶⣷⣾⣶⣾⣾⣶⣶⣶⣿⣶⣶⣶⣾⣷⣶⣶⣶⣷⣷⣶⣷⣶⣾⣶⣾⣾⣾⣶⣶⣾⣶⣾⣿⣷⣿⣾⣷⣷⣶⣴⣷⣶⣿⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⡝⡍⢉⡫⠈⠟⠉⢩⢹⢨⠉⢽⠉⢉⢍⠍⡹⢹⡩⡍⠁⠸⠇⠈⠎⣿⡹⠉⠇⡹⠈⢸⣮⣵⠈⠍⡍⣏⢏⠉⡍⠉⢿⠈⠏⠉⡹⠉⢩⠁⡻⣹⢈⠏⡯⢋⠭⠀⡩⠁⠍⡩⠅⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇ ⣿⣿⢿⠟⠻⠿⠿⢿⠿⡿⠟⠿⡟⠿⢿⡟⢿⠿⡿⠟⠟⠿⠿⠿⡿⢿⠿⢻⠿⠻⠿⠿⠿⢿⣿⠿⠟⠿⠻⢿⠿⣿⠿⠿⠿⠿⣿⠿⢿⠿⠿⠟⡿⠿⠾⡿⠿⠿⢿⡿⠿⢿⡿⠿⠿⠿⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿ ⣿⣿⣮⣤⣤⣬⣄⣵⣤⣬⣤⣤⣤⣤⣬⣧⣧⣤⣽⣤⣤⣬⣤⣮⣧⣵⣧⣠⣤⣤⣿⣤⣤⣍⣟⣬⣤⣬⣤⣴⣧⣿⣧⣤⣤⣬⣷⣤⣦⣾⣅⣤⣮⣤⣤⣦⣤⣤⣼⣬⣤⣿⣧⣤⣥⣤⣼⣥⣬⣯⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣭⠹⢹⠙⠝⠝⠍⢹⠙⠝⠋⠋⠙⡙⡏⠏⠋⢹⢋⠉⡯⡏⠏⠋⡝⠋⠉⡝⠉⣿⠩⢻⠉⠹⠙⢹⠋⠋⢫⠋⠉⡟⠛⠏⠋⢿⡟⠫⡩⠉⢹⠋⡿⡹⠉⢯⠙⢹⢹⢏⠏⠙⠫⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣿⣿⣿⣿⣿⠿⣿⡿⣿⣿⣿⣿⢿⡿⣷⣿⣿⣿⡿⠿⣿⡿⡿⢿⣿⡿⡿⢿⣿⣿⣾⣿⡿⣿⡿⣿⣿⣿⣿⣿⢿⠿⡿⢿⣿⡾⡷⢿⢿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣜⣀⣷⣤⣳⣀⣜⣄⣰⣀⣠⣃⣰⣅⣠⣷⣰⣕⣠⣿⣻⣷⣼⣠⣺⣷⣱⣰⣠⣜⣄⣧⣇⣜⣤⣤⣃⣜⣜⣸⣇⣤⣄⣠⣢⣷⣠⣦⣠⣲⣠⣿⣂⣜⣃⣦⣢⣜⣜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⡏⢹⢹⠋⢻⠛⢹⡏⢹⡛⣟⢛⣛⠛⣻⡟⡻⠛⣟⠟⠛⡟⠛⡿⠛⡻⠋⢹⡏⡛⠛⠋⡋⠛⢛⡛⣿⣟⠛⡟⢛⠛⢛⠛⠋⢻⠋⡛⠻⢛⣛⢻⠙⡏⢙⢟⠙⣛⡏⢫⡛⠋⡻⠛⠛⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣾⣷⣷⣶⣷⣶⣾⣾⣷⣿⣾⣶⣿⣶⡶⣷⣾⣷⣿⢾⣶⣶⡶⣶⣶⢶⣶⣾⣿⣶⣶⣿⣶⣷⣷⡶⣿⣷⣾⣶⣷⣷⣾⣷⣶⣷⣶⣶⣷⣶⣿⢾⣾⡶⣮⣾⣶⡾⣶⡶⣾⣷⣷⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⢿⣿⣧⣡⠎⣄⣂⣆⣀⣅⣰⣱⣰⣇⣆⣿⣇⣀⣀⣰⣐⣀⣘⣀⡇⣐⣸⣈⣂⢐⡅⣀⣃⣀⣘⣀⣪⣂⣀⣁⣀⣂⣘⣿⣔⣀⡁⣄⣒⣀⣿⣀⣑⣀⣨⣇⢡⣐⣂⣀⣂⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇ ⣿⣿⣟⠟⠿⡛⠟⣛⠛⢟⢛⢿⠛⠟⡻⢻⠟⡟⠛⣿⣿⢻⡟⠟⠛⡻⠟⢻⡟⡛⢻⠟⠛⢛⠻⡻⠛⠻⠻⢻⡟⣿⡟⠟⡻⠛⠟⠟⠟⠟⢻⡛⡟⡟⠛⠿⡛⣟⡻⠻⠟⢛⡟⠛⢿⢻⢻⡟⠻⢻⠛⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣾⣷⣶⣶⣷⣶⣾⣶⣾⣦⣶⣷⣾⣾⣶⣶⣶⣿⣾⣶⣶⣶⣶⣾⣾⣷⣶⣾⣼⣶⣶⣶⣷⣶⣶⣷⣶⣾⣾⣶⣶⣷⣷⣾⣶⣶⣶⣾⣷⣿⣾⣶⣶⣷⣿⣷⣿⣷⣾⣶⣶⣾⣷⣶⣷⣶⣷⣶⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣯⣩⡻⣁⣩⢋⢉⣯⣉⢭⣁⣈⣽⣿⣎⣄⣏⣉⣩⣅⣈⣎⣇⣝⣽⣫⣉⡫⣁⣩⢋⣙⣸⡉⣹⡝⣉⣙⢍⣿⣩⣀⡝⣅⣘⢄⡹⣉⣈⡹⣍⣉⢅⡹⣍⣹⣇⣉⢍⣈⡹⣹⠹⣩⣭⣇⣍⢭⡹⣅⣈⢽⣿⣿⣿⡇ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣿⡟⠿⡿⠻⡿⠿⣿⠿⢿⠟⢿⠿⠟⢿⡿⢿⡿⠿⣿⠿⢿⠟⠿⡿⠻⢿⡟⢿⠿⠿⡿⠿⡿⢿⡿⠿⡿⠿⢻⠿⢿⠿⠿⡿⠿⡿⠛⢿⢿⠻⡿⣿⡿⠿⡿⠻⢿⠿⠿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣧⣵⣤⣮⣴⣽⣼⣿⣤⣮⣤⣦⣮⣥⣬⣧⣿⣯⣥⣿⣤⣧⣦⣴⣵⣤⣭⣧⣮⣤⣽⣴⣤⣽⣼⣷⣴⣵⣥⣦⣥⣨⣦⣤⣿⣴⣽⣤⣬⣼⣼⣼⣷⣧⣴⣥⣴⣧⣦⣴⣥⣼⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⣿⣿⣭⢑⡉⠉⠈⣍⢋⠉⠏⠉⠩⠁⢩⣿⠉⠉⢹⡙⡍⠹⡍⠉⡋⠉⠍⠉⠹⡏⢝⠉⠈⡍⠉⠉⠉⠉⢿⡏⠎⢘⠉⠉⡍⢩⡍⠉⣿⠉⠏⠉⠉⠉⠀⠉⠉⢉⠽⣟⠉⠉⠍⠹⡏⠉⠏⠩⠉⠉⡍⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⢿⢿⢿⢿⢿⠿⣿⠿⡿⠿⠿⠟⡿⡿⠿⠿⠿⠿⡿⢿⠿⣿⣿⠿⠿⡿⢷⡿⢿⣿⠿⢿⠿⣿⠿⠿⡿⠿⣿⠿⢿⠿⣿⠿⠿⣿⠿⡾⡟⢿⡿⠟⣿⡿⢿⡿⢿⢿⣿⣿⠿⠿⠿⠿⣿⠿⠿⡿⢿⢿⠿⣿⣿⣿⣿ ⣿⣿⣯⣤⣤⣤⣤⣶⣤⣥⣧⣿⣥⣤⣇⣬⣤⣤⣧⣤⣼⣤⣴⣧⣿⣧⣮⣤⣧⣼⣧⣤⣶⣼⣧⣤⣤⣥⣤⣧⣤⣿⣤⣧⣤⣧⣥⣥⣥⣤⣵⣤⣬⣤⣥⣴⣥⣬⣤⣬⣦⣹⣧⣤⣼⣤⣼⣼⣼⣤⣼⣤⣬⣤⣿⣿⣿⣿ ⣿⣿⣻⠛⠻⡟⢻⠙⠻⡟⢻⣿⠙⢻⠋⠛⡟⢛⠛⢻⢟⡛⡟⢛⢛⠛⣟⢛⢯⠛⡟⣽⣿⡝⡍⢻⡛⢻⡏⢻⠛⠛⡟⠋⢻⢛⠛⢻⠋⣻⡟⢻⢿⢻⡏⠋⠛⠙⢛⠛⡛⢹⠯⠙⡟⠛⠛⢻⠛⠛⠛⣻⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣆⣀⣀⣆⣐⣔⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡙⠹⠉⢛⠛⡋⢛⠛⠻⠛⢻⡏⠏⠟⠛⡋⠙⠛⡏⡛⠛⡛⠻⠉⣟⠛⢙⠛⡋⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿ ⣿⣿⣷⣷⣷⣾⣶⣶⣶⣶⣷⣷⣾⣷⣶⣷⣶⣶⣶⣶⣧⣥⣶⣷⣶⣶⣿⣴⣾⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⢿⣿⣿⣿⡇ ⣿⣿⣧⣼⣀⣸⣇⣠⣱⣀⣐⣀⣀⣃⣀⣘⣇⣙⣀⣈⣡⣀⣱⣸⣇⣀⣆⣐⣀⣂⣐⣅⣀⣘⣀⣿⣀⣑⣀⣛⣀⣸⢐⣀⣈⢀⣂⣰⣸⣖⣀⣪⣆⣃⣀⣿⣀⣀⣐⣀⣻⣇⣠⣂⣀⣻⣌⣌⣂⣀⣅⣨⣽⢈⣀⣿⣿⡏ ⣿⣿⡟⠟⠻⠟⠟⡻⠟⢟⠻⡻⢻⠻⡻⢻⣟⠟⠿⠿⡻⠛⢿⠿⢿⡿⠻⠻⣿⢻⡿⠻⠛⢟⠟⠻⡻⠟⠿⢻⡟⠿⠻⠻⡛⣿⠻⡿⠟⣛⠿⡿⡻⢟⠻⡻⢻⢻⡟⣿⣿⠛⣟⠟⠿⠻⡻⠟⣿⠻⠻⡛⢿⠻⠟⣿⣿⡇ ⣿⣿⣾⣶⣶⣶⣶⣷⣶⣾⣶⣶⣶⣶⣷⣾⣷⣶⣶⣴⣷⣶⣾⣾⣾⣷⣷⣶⣿⣾⣷⣷⣷⣾⣶⣶⣶⣶⣶⣷⣷⣶⣶⣷⣶⣷⣷⣿⣷⣿⣶⣶⣶⣶⣶⣶⣷⣶⣶⣶⣷⣷⣾⣾⣶⣶⣷⣶⣿⣴⣶⣶⣶⣷⣶⣾⣿⡏ ⣿⣿⡝⡉⡉⡍⣉⠏⠀⠹⢹⢈⣍⡍⡁⡹⡅⢈⢩⣘⠄⣿⣹⡍⢉⠿⠀⢉⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇ ⣿⣿⣛⠟⡻⡿⡿⡿⠿⣿⠿⢿⠟⠻⡿⠿⠻⠟⢿⠟⠿⠿⢿⠿⢿⠿⢿⡟⢻⣿⠻⢿⡿⢿⡟⠻⡛⡿⠿⢿⠿⢿⠿⠿⡿⠻⡿⠿⣿⠿⢿⠿⠿⠻⡟⠿⢿⠿⠟⡿⢿⡿⡟⠻⡿⡟⢟⠟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣯ ⣿⣿⣿⣮⣴⣽⣷⣵⣼⣿⣴⣬⣤⣤⣥⣶⣤⣧⣬⣤⣮⣦⣼⣤⣬⣤⣬⣥⣬⣿⣠⣵⣤⣬⣯⣴⣥⣧⣥⣼⣥⣧⣦⣥⣧⣤⣵⣤⣿⣤⣥⣶⣤⣴⣵⣥⣥⣤⣤⣬⣼⣷⣥⣜⣼⣥⣬⣤⣭⣽⣿⣿⣿⣿⣿⣿⣿⣇ ⣿⣿⣏⠹⠉⠉⡍⠉⢫⠉⡍⠉⠏⠉⢉⢫⢋⢹⡏⠉⠙⡍⠋⠁⠉⡙⡉⠩⢹⠩⠉⢩⡍⠉⠋⢹⣿⠈⠋⢉⠋⠍⠹⡍⠉⡍⠉⠉⡏⡍⠹⡍⠉⠋⢹⡏⢩⠃⠉⠈⠏⠹⢩⢩⡏⢩⠉⡍⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⡿⢿⡿⢿⡿⡿⣿⢿⠿⣿⢿⢷⢿⡾⡿⠿⡿⠿⡿⣿⢿⠿⣿⡿⢿⣿⠿⣿⠿⣿⡿⢿⢿⠿⣿⢿⢷⠿⡿⡿⢿⢿⢿⡿⣿⢿⢿⠿⣿⢿⡿⡿⢿⣿⢿⠿⡿⣿⡿⡿⡿⡿⢿⠿⡿⡿⠿⠿⢿⢿⠿⡿⣿⣿⣿ ⣿⣿⣬⣤⣧⣠⣤⣼⣤⣤⣤⣼⣼⣤⣦⣤⣤⣤⣿⣤⣤⣴⣤⣦⣤⣿⣬⣬⣧⣦⣿⣤⣤⣼⣤⣦⣤⣿⣥⣤⣆⣼⣤⣤⣧⣤⣷⣥⣤⣤⣼⣼⣤⣵⣤⣤⣧⣮⣤⣵⣼⣿⣦⣥⣤⣤⣥⣼⣤⣤⣤⣤⣮⣬⣤⣽⣿⡟ ⣿⣿⣟⢛⢻⠛⡛⠋⢻⠋⡛⡻⠛⢻⣿⢉⠍⠻⣻⠋⠉⢻⢻⢻⠛⡟⡛⢻⡋⢻⠛⢻⡛⣿⢛⠛⠛⡟⣛⡛⠙⡟⡛⡟⡛⢹⠛⢛⢛⡋⣿⡛⢻⡋⠛⡝⡏⠛⠙⡛⡛⣿⡟⡛⡏⢫⢻⢹⡟⢛⢻⠛⢻⣿⣿⣿⣿⡇ ⣿⣿⣿⡾⢷⣾⣾⡶⡷⠷⢶⣷⣷⣿⡿⣷⣷⡷⣷⣶⣿⡷⢾⣷⣶⣿⣿⣷⣷⣷⣶⡿⣷⢿⣷⣾⣿⡾⣾⣷⡾⡿⢷⣿⠾⣾⣷⢶⣷⣿⣿⣾⡷⣿⣾⣶⣷⣿⣶⢷⣾⣿⣿⣾⣶⣷⢾⣶⣾⣿⡷⣶⣿⣿⣿⣿⣿⡇ ⣿⣿⣧⣂⡰⣡⣀⣀⡀⣀⣠⣀⣻⣯⣇⣀⣅⣂⣰⣹⢐⣅⣀⣀⣀⣄⣀⣀⣀⣸⣗⣀⡆⢀⣸⣰⣰⣇⣰⣸⣇⣂⣘⣀⣀⣐⣀⣘⣿⣕⣀⣰⣀⣎⣀⣰⣸⣐⣀⣨⣀⣄⣀⣀⣿⣂⣸⣔⣔⣘⣀⣀⣀⣅⣸⣿⣿⡇ ⣿⣿⠻⠛⠻⢛⠻⠻⠛⣟⢛⣻⣿⡿⠛⣟⢹⢻⡟⢻⡛⢛⣿⠛⡟⠟⡻⡛⢟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣷⣷⣶⣷⣶⣶⣶⣾⣾⣧⣷⣶⣶⣾⣾⣶⣷⣶⣷⣶⣿⣶⣶⣶⣷⣶⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ䷩ 𝚕𝚒𝚗𝚎 1445 ╒═══════════════════ 𝐃𝐀𝐈𝐋𝐘 𝐋𝐈𝐍𝐊𝐒 ═════════════════════════════════════════════╕ ⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Links 02/11/2023: Condé Nast, Splunk Layoffs⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧ posted by Roy Schestowitz on Nov 02, 2023 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈ § Contents⠀➾ * Leftovers o Science o Education o Health/Nutrition/Agriculture o Proprietary/Artificial_Intelligence_(AI) o Security # Privacy/Surveillance o Defence/Aggression o Environment # Energy/Transportation o Finance o AstroTurf/Lobbying/Politics o Censorship/Free_Speech o Freedom_of_Information_/_Freedom_of_the_Press o Civil_Rights/Policing o Internet_Policy/Net_Neutrality o Monopolies # Software_Patents # Copyrights * Gemini*_and_Gopher o Personal/Opinions o Technology_and_Free_Software # Internet/Gemini # Programming * § Leftovers⠀➾ o ⚓ Gizmodo ☛ Tech_Billionaires'_Quest_to_Build_a_New_City_in California_Is_Already_Mired_in_Trouble⠀⇛ In general, it seems really hard to imagine that this project will ever materialize. Even if Flannery somehow manages to smooth things over with the locals, the project still needs to clear a number of state and regional regulatory hurdles. Those hurdles are looking dubious, since a lot of local politicians have expressed doubts about the viability of the project. If those hurdles, somehow, are cleared, the project’s backers then have to actually build the majestic metropolis that developers are envisioning. After that, people have to move there and the city has to retain a certain level of population density for the foreseeable future. Then the city’s creators have to actually, like, run the city...you know, forever. o ⚓ The Age AU ☛ One_of_the_world’s_great_global_cities_has_lost_its identity⠀⇛ Now the billion-dollar gallery faces competition not just from other modern art institutions in the region, but from its neighbour next door in West Kowloon, where hundreds of tourists from the mainland are piling out of buses each day. o § Science⠀➾ # ⚓ Hans-Dieter Hiep ☛ Can_the_Collatz_conjecture_be_proven,_or not?⠀⇛ In 1937, shortly after the mathematician Lothar Collatz obtained his doctorate, he wrote down a problem in his notebook that later became known as Collatz’ problem or the \((3x+1)\)-problem. The problem is remarkable since it is easy to state, but for more than eighty years no solution had been found. o § Education⠀➾ # ⚓ The Drone Girl ☛ “Behind_the_Wings”_PBS_drone_special_TV episode_set_to_air_Thursday⠀⇛ This episode is set to feature Archer Aviation, DroneUp and Walmart, the Choctaw Nation of Oklahoma, and Drone Express and MissionGo. All those companies and organizations share one key focus, drone delivery, suggesting that this PBS show could provide some key insights into what 2024 holds for the drone delivery world. o § Health/Nutrition/Agriculture⠀➾ # ⚓ CS Monitor ☛ Americans_have_a_right_to_guns._How_about_to public_peace?⠀⇛ For years, mass shootings have prompted vehement debates in legislatures and at kitchen tables about the constitutional right to bear arms. But last week’s shootings in Lewiston, Maine, have given momentum to a national conversation about something more fundamental: the right to a reasonable sense of peace. o § Proprietary/Artificial Intelligence (AI)⠀➾ # ⚓ Matt Rickard ☛ Mechanical_Turks⠀⇛ But the Mechanical Turk wasn’t actually an AI — it was just a machine that cleverly concealed a human inside. The interior was intentionally misleading. It had a series of cabinets that opened and gave the illusion of moving gears and open compartments (in fact, the operator had a sliding seat so that they could move back and forth as the viewers inspected the insides). The pieces moved with strong magnets (although the inventor carefully ensured external magnets didn’t affect the board). The board was numbered inside the box. # ⚓ New York Times ☛ Harris_Warns_That_the_‘Existential Threats’_of_A.I._Are_Already_Here⠀⇛ On the same day that 28 countries, including the United States and China, signed a declaration warning of the potential for “catastrophic” damage to humanity from the most advanced forms of A.I., Ms. Harris also used her address to highlight how the technology was already causing harm. o § Security⠀➾ # § Privacy/Surveillance⠀➾ # ⚓ Chris Coyier ☛ 0_KB_Social_Media_Embeds⠀⇛ A question to ask yourself though is: what do you actually get from a social networks “embed”? It’s not nothing: [...] o § Defence/Aggression⠀➾ # ⚓ Meduza ☛ ‘At_the_heart_of_Christianity_is_the_rejection_of violence’_Jailed_dissident_Vladimir_Kara-Murza_on_the_Russian Orthodox_Church’s_support_for_the_war⠀⇛ Russia has long been living in an Orwellian world, and this parallel reality became firmly solidified after February 2022. “War is peace, freedom is slavery, and ignorance is strength.” It might seem like one shouldn’t be surprised by these insane distortions, the shameless exaggerations, the audacious attempts to say that black is white. And yet, even amid this deluge, a recent piece of news from the Tver region caught my eye. There, a priest named Ilya Gavryshkiv was forced to apologize publicly, on camera, for praying not for “victory” over Ukraine but for peace. And he was forced to do this not by the FSB, not by the Investigative Committee, and not by Kadyrov, but by his own ruling bishop. # ⚓ Overpopulation ☛ EurASP_Statement_on_Migration⠀⇛ The European Alliance for a Sustainable Population (eurASP) is a coalition of groups with the mission to raise awareness about the impact of human population, its size and density, on planet Earth. It includes groups from seven European countries. Recently they issued the following statement on migration. # ⚓ Omicron Limited ☛ Researchers_argue_that_reducing greenhouse_gas_emissions_is_not_enough_to_combat_climate change⠀⇛ Scientists have known since the 1800s that infrared-absorbing (greenhouse) gases warm Earth's surface, and that the abundance of greenhouse gases changes naturally as well as from human actions. Roger Revelle, who was one of the early scientists to study global warming, wrote in 1965 that industrialization meant that human beings were conducting a "vast geophysical experiment" by burning fossil fuels, which adds carbon dioxide (CO2) to the air. CO2 has now reached levels that have not existed for millions of years. # ⚓ US News And World Report ☛ Maine_Considers_Closing_Loophole That_Allows_Foreign_Government_Spending_on_Referendums⠀⇛ If voters grant their approval on Nov. 7, Maine would be the 10th state to close the loophole in federal election law that bans foreign entities from spending on candidate elections, yet allows donations for local and state ballot measures, said Aaron McKean, legal counsel for the nonprofit, nonpartisan Campaign Legal Center in Washington, D.C., which supports the Maine proposal. Maine is the latest state to address foreign influence in elections. # ⚓ France24 ☛ IS_group-linked_militants_kill_17_in_Nigeria_for failing_to_pay_'cattle_tax'⠀⇛ Jihadists affiliated to the Islamic State group killed 17 people in a raid on a remote village in northeast Nigeria after villagers refused to pay an illicit tax, anti-jihadist militia and a resident told AFP Tuesday. # ⚓ RFA ☛ China_‘cooperating’_with_Finland_over_damaged pipeline⠀⇛ Finnish police last week named the Hong Kong- flagged container vessel Newnew Polar Bear as their main suspect in the incident which took place on Oct. 8, 2023 when a major gas pipeline between Finland and Estonia was severely damaged by a “dragging anchor.” They said an anchor, believed to belong to the Newnew Polar Bear, was found on the seabed, just meters away from the pipeline. # ⚓ Democracy Now ☛ “Text-Book_Case_of_Genocide”:_Top_U.N. Official_Craig_Mokhiber_Resigns,_Denounces_Israeli_Assault_on Gaza⠀⇛ A former top United Nations official in New York joins us for an in-depth interview about why he has resigned after publicly accusing the U.N. of failing to address what he calls a “text-book case of genocide” unfolding in Gaza. Craig Mokhiber is a longtime international human rights lawyer who served as director of the New York Office of the United Nations High Commissioner for Human Rights. His resignation letter (embedded below) has gone viral. In one of his first interviews since leaving his post, Mokhiber tells Democracy Now! the U.N. follows a “different set of rules” when addressing Israel’s violations of international law, refusing to utilize its enforcement mechanisms and thus “effectively” acting as “a smokescreen behind which we have seen further and worsening dispossession of Palestinians.” He says it is an “open secret inside the halls of the United Nations that the so-called two-state solution is effectively impossible,” and calls for international actors to push for a “new paradigm” in the region based on “equality for all.” We also discuss the inaction of the International Criminal Court, global suppression of pro-Palestinian advocacy, bad-faith accusations of antisemitism and more. # ⚓ Craig Murray ☛ “A_Textbook_Case_of_Genocide”.⠀⇛ The resignation letter of Craig Mokhiber, Director of the New York Office of the UN High Commissioner for Human Rights, has gone viral on social media but most posts only show page one. Here is the full four page letter. # ⚓ The Nation ☛ Guess_What,_Glenn_Youngkin?_The_GOP_Makes_Gun Crime_Worse.⠀⇛ In next week’s Virginia state legislative elections, there are two big issues. One is abortion, since it’s the only Southern state that hasn’t imposed new restrictions since Roe v. Wade was overturned last year. The GOP drive for at least a 15-week ban helps Democrats—70 percent of women say it’s driving their votes, while only 47 percent said the same in 2019. The other is crime, which Republicans believe will help them. The party hyped crime fears in the 2021 election, falsely charging that moderate Democrats, for instance, supported the “defund the police” movement even when they hadn’t. The ploy seemed to work: The GOP took control of the House of Delegates and Glenn Youngkin strolled into the governor’s mansion. # ⚓ Site36 ☛ Fewer_boat_crossings,_visit_to_Frontex:_EU_and Tunisia_implement_migration_pact⠀⇛ # ⚓ Site36 ☛ Refugees_against_German_Register_of_Foreigners: Constitutional_Complaint_against_“Second_Class_Data Protection”⠀⇛ # ⚓ Site36 ☛ Rome_on_collision_course:_Instead_of_Libyan_coast guard,_sea_rescuers_are_punished_again⠀⇛ o § Environment⠀➾ # § Energy/Transportation⠀➾ # ⚓ Terence Eden ☛ NaNoWriMo_-_An_Introduction_and Chapter_1:_There_Are_Nine_Million_Autonomous_Bicycles In_Beijing⠀⇛ Every year since 2009, I've taken part in NaBloPoMo - National Blog Posting Month. The aim is to publish a new blog post every day in November. In the last few years, I've blogged pretty much constantly - daily for 2020, 2021, and 2023. A total of around 2,800 posts. But now it is time for a new challenge - NaNoWriMo. Where I - and thousands of other plucky souls - try to write a 50,000 word novel in a month. # ⚓ Futurism ☛ SBF_Was_Apparently_Told_to_“Stop_Asking Questions”_About_Where_$8_Billion_Went⠀⇛ As The Verge reports, the defrocked [cryptocurrrency] king gave some pretty confusing answers on his final day on the stand when asked about all those billions of dollars that were funneled from FTX to its sister firm, Alameda Research. # ⚓ DeSmog ☛ Honolulu’s_Climate_Suit_Against_Big_Oil Advances_Towards_Trial⠀⇛ A lawsuit filed by the city and county of Honolulu against nearly a dozen fossil fuel companies is moving towards trial in Hawaii after the Hawaii Supreme Court on Tuesday rejected the companies’ arguments for dismissing the case on appeal. Honolulu first sued 10 fossil fuel companies — including BP, Chevron, Shell, ExxonMobil, and Aloha Petroleum — in March 2020, in an attempt to hold these companies accountable for alleged deception over the climate risks of their products. The fossil fuel defendants had been seeking to have the case dismissed, arguing that the lawsuit was an attempt to regulate greenhouse gas emissions, a task left to the EPA rather than states. In an 82- page opinion issued on Halloween, the state’s highest court firmly denounced the defendants’ characterization of the lawsuit, and agreed with the plaintiffs that the case is simply about whether the companies “misled the public about fossil fuels’ dangers and environmental impact.” o § Finance⠀➾ # ⚓ Forbes ☛ Condé_Nast,_Splunk_Cut_Hundreds_Of_Employees⠀⇛ Artificial intelligence cybersecurity firm Splunk will lay off roughly 560 employees, the company announced Wednesday, while publishing giant Condé Nast plans to cut hundreds of job, marking the latest in a series of layoffs at U.S. tech and media companies, manufacturers and banks amid lingering recession fears (see Forbes’ layoff tracker from the first quarter here). # ⚓ The Register UK ☛ Splunk_sheds_7%_of_workers_amid_Cisco's $28B_embrace⠀⇛ Enterprise analytics software specialist Splunk, which Cisco plans to purchase for $28 billion, has decided it needs to lay off 7 percent of the workforce. # ⚓ NBC ☛ Splunk_to_cut_7%_of_workforce,_or_about_500 employees,_ahead_of_Cisco_acquisition⠀⇛ Splunk had nearly 8,000 employees as of January, according to its regulatory filings, meaning that around 500 employees will likely lose their jobs. The company laid off about 300 employees earlier this year. # ⚓ EPIC ☛ DC_Attorney_General_Charges_Landlords_with_Using Algorithmic_Tool_to_Illegally_Raise_Rents⠀⇛ In a complaint filed today, DC’s attorney general Brian Schwalb alleged that fourteen of DC’s largest landlords used a high-tech tool called RealPage to hide the fact that they were conspiring to keep rental prices high. In the DMV metropolitan area, more than 90% of units in large buildings are priced using RealPage, and the attorney general estimates that this has costed renters millions of dollars in artificially inflated rent prices. # ⚓ Another_Insurance_Company_in_Eastern_Iowa_Has_Announced Layoffs⠀⇛ Last week was a tough one locally in the insurance industry. o § AstroTurf/Lobbying/Politics⠀➾ # ⚓ TechCrunch ☛ A_researcher_critical_of_X_under_Elon_Musk will_fight_for_his_account_in_court⠀⇛ A Berlin-based software developer is fighting back after X suspended his account, claiming that research he conducted on the platform violated the company’s terms of service. Following Elon Musk’s chaotic takeover of the platform, Travis Brown‘s research figured heavily in reporting that painted X, formerly Twitter, in an unflattering light. Brown worked on open source projects at Twitter for a year well before Musk’s tenure. After Musk’s purchase, he began researching hate speech and account suspensions on the platform, collecting X data through a software tool he built in conjunction with the Open Knowledge Foundation, a data transparency nonprofit. # ⚓ TechCrunch ☛ The_demise_of_Twitter_Circles_left_a_void_that Instagram_Close_Friends_can’t_fill⠀⇛ When X’s Circles feature shut down this week, the app formerly known as Twitter turned its back on the best product it’s shipped since the Quote Tweet. Like an Instagram Close Friends story, Circles allowed users to post to an exclusive, hand-picked group of up to 150 people, where they could be themselves without worrying about the personal or professional consequences. # ⚓ Common Dreams ☛ Tech_apologist_Chuck_Schumer_invites Clearview_to_forum_on_regulating_AI⠀⇛ On the heels of the Biden administration’s landmark (but also insufficient) executive order on artificial intelligence, Senate Majority Leader Chuck Schumer is holding his next major forum on the hot-button topic today, including one on high impact AI. Astoundingly, the leader of the Senate has invited Clearview AI, the notorious facial recognition company founded by far-right MAGA extremists, which is so problematic that it has faced bans and lawsuits in multiple countries. The controversial decision to invite Clearview comes after Schumer faced intense criticism from civil rights groups who were initially excluded from his high profile AI discussions, while inviting Big Tech CEOs and investor Marc Andreesen, who has literally compared regulating AI to “murder.” # ⚓ India Times ☛ Facebook_owner_Meta_faces_EU_ban_on_targeted advertising⠀⇛ The European data regulator has agreed to extend a ban imposed by non-EU member Norway on "behavioural advertising" on Facebook and Instagram to cover all 30 countries in the European Union and the European Economic Area, it said on Wednesday. # ⚓ Eesti Rahvusringhääling ☛ Rain_Lõhmus:_Government_is working_to_bring_back_feudalism⠀⇛ Entrepreneur and founder of LHV Bank Rain Lõhmus told Kristjan Pihl in an interview on Vikerraadio on Friday that in Estonia, freedoms are restricted by regulations, and feudal lords take more and more from the private sector to redistribute (as too much money goes to the state budget). # ⚓ Federal News Network ☛ DHS_lays_out_new_‘cybersecurity readiness’_metrics_for_contractors⠀⇛ The notice doesn’t state when the new evaluation factor will go into effect. But DHS is seeking feedback on its plans by Nov. 17. In an attachment to the notice, DHS lays out more details on how it will evaluate “cybersecurity readiness” based on analyzing contractor responses to a questionnaire. # ⚓ Federal News Network ☛ DHS_to_lean_further_into_AI_with generative_pilots⠀⇛ Hysen said declined to comment further on the pilots citing the need to finalize some details. # § Misinformation/Disinformation/Propaganda⠀➾ # ⚓ VOA News ☛ China_Showed_Old_Footage_of_Maritime Intercept_to_Blame_US_for_Mid-Air_Near_Miss⠀⇛ The August 19 video is the only evidence China presented to back up its allegations that the U.S. was to blame for the October 24 incident. However, according to the U.S. Pacific Fleet, even that video “proof” did not show the full picture, as the video had been pre-cut to misrepresent the event. # ⚓ New York Times ☛ In_Israel-Gaza_War,_Recycled_Images From_Past_Conflicts_Can_Undercut_True_Toll⠀⇛ “This is not the first time I hear that my photos and videos are being used outside its original context,” the photographer, Hosam Katan, said in an interview. Mr. Katan worked for the Aleppo Media Center, a group of antigovernment activists and citizen journalists, and is now based in Germany. “Maybe some people are trying to get more empathy for Gaza, but at the same time, such fake videos or photos will have the opposite impact, losing the credibility of the main story.” o § Censorship/Free Speech⠀➾ # ⚓ EFF ☛ EFF_to_Supreme_Court:_Reverse_Dangerous_Prior Restraint_Ruling_Upholding_FBI_Gag_on_X’s_Surveillance Transparency_Report⠀⇛ The government has been fighting X, formerly known as Twitter, for nearly a decade to stop it from publishing a 2013 transparency report that would give its users a more complete picture of how many times the government—armed with orders from a secret court and the FBI—demanded customer information for national security surveillance.Transparency reports have been a bedrock for shining a light on the secretive world of FBI national security letters and Foreign Intelligence Surveillance Act (FISA) orders compelling platforms to turn over their users’ private information. The reports disclose aggregate numbers of data requests—not the underlying targets of government requests or other such details—often by country and type of request, allowing users and researchers to see trends in surveillance activity.Blocking such data prior to publication—a "prior restraint” in legal terms—has long been subject to the most demanding First Amendment protections to ensure that the government is not allowed to be an unreviewable censor stifling individuals’ right to free speech.   # ⚓ [Repeat] Press Gazette ☛ Private_Eye_cartoonist_quits_after silence_from_mag_colleagues_over_Twitter_threat⠀⇛ Rockman told Press Gazette that, in the wake of the 2015 Al Qaeda attack on French satirical magazine Charlie Hebdo, publishers “should care” about death threats directed toward their cartoonists. # ⚓ Deutsche Welle ☛ Zambia:_Why_is_organizing_a_protest_so difficult?⠀⇛ In Zambia, the right to assemble is guaranteed under the consitution but the reality is often different. Police are accused of infringing civil rights by withholding permits. But what needs to be done to change this? # ⚓ Gizmodo ☛ HBO_Exec_Allegedly_Ordered_Staff_to_Harass Critics_Over_The_Nevers_and_Other_Shows⠀⇛ A new lawsuit alleges that HBO’s Casey Bloys told staffers to tweet snarky comments at critics who were mean to his shows online. According to a report in Rolling Stone, starting in 2020, HBO’s then-president of original programming allegedly instructed staffers to create false Twitter (now X) accounts for this purpose. # ⚓ Rolling Stone ☛ HBO_Bosses_Used_‘Secret’_Fake_Accounts_to Troll_TV_Critics⠀⇛ Martinez says Temori created a fake Twitter account to comply with his bosses’ requests, and “like many young employees starting out on their career, it was very important to Sully to not only perform at a high level, but to seek opportunities where he could showcase his acumen and build credibility for the possibility of creating long-term success at HBO and esteem from his higher-ups.” o § Freedom of Information / Freedom of the Press⠀➾ # ⚓ ABC ☛ Bulgaria_expels_Russian_journalist_as_an_alleged threat_to_national_security⠀⇛ Bulgaria has expelled a Russian journalist for allegedly engaging in activities that pose a threat to the country's national security, authorities said Wednesday. The State Agency for National Security said Alexander Gatsak, a correspondent for Russian state-run newspaper Rossiyskaya Gazeta, was stripped of his residency rights and barred from entering Bulgaria and other European Union member nation. # ⚓ Vice Media Group ☛ Years_of_Incarcerated_Journalist's Reporting_Deleted_by_Notorious_Prison_Telecom 'Inadvertently'⠀⇛ Securus Technologies, a prison telecommunications company previously reported on for its predatory business practices, deleted incarcerated users’ draft emails in a system reboot on Monday. One incarcerated journalist says they use the draft box to do critical reporting and lost years of work as a result of the wipe, and that the company silenced important reporting. The company says it was an accident. o § Civil Rights/Policing⠀➾ # ⚓ CoryDoctorow ☛ Social_Security_is_class_war,_not intergenerational_conflict⠀⇛ But as Kuttner points out, there's another, more important point to be made about inequality in America – the most significant wealth gap in America is between workers and owners, not young people and old people. The "average" Boomer's net worth factors in the wealth of Warren Buffett and Donald Trump. Older renters are more rent-burdened and precarious than younger renters, and most older Americans have little to no retirement savings: [...] # ⚓ Jacobin Magazine ☛ I_Was_Illegally_Fired_by_Amazon_for Speaking_Out_About_a_Coworker’s_Death⠀⇛ The ruling provides a small step toward justice for Malinowska, albeit only after a two-year delay, and a period in which many aspects of Amazon workers’ rights have worsened. In an interview, Malinowska spoke to Jacobin’s Caspar Shaller about Amazon’s inhumane treatment of staff, its violation of basic union rights, and workers’ efforts to stand up against corporate tyranny. o § Internet Policy/Net Neutrality⠀➾ # ⚓ APNIC ☛ APNIC_celebrates_30_years:_IPv6_—_the_long_road_to ‘more_than_enough_addresses’⠀⇛ From roots in the early 1990s, competing protocol proposals to replace IPv4 converged on a design in 1994 and this was confirmed in 1995. So, within the first two years of ‘the APNIC experiment’, there was a definition of IPv6 as a protocol. But that was just the start of the work required by the community to realize the future of addressing. # ⚓ Tech Central (South Africa) ☛ Icann_wants_new_internet domains_for_South_Africa⠀⇛ “Icann used to have 22 domain names in total. That was 10 years ago. After the first gTLD project to accept new domains, we ended up with the current 1 300 domains,” Dandjinou said. o § Monopolies⠀➾ # § Software Patents⠀➾ # ⚓ Tech Central (South Africa) ☛ Nokia_sues_Amazon⠀⇛ The suits were filed in the US, Germany, India, the UK and the European unified patent court, Arvin Patel, Nokia’s chief licensing officer said in a statement on the company’s website. Separately, a suit was also filed against HP in the US over video-related technologies, he said. # § Copyrights⠀➾ # ⚓ Press Gazette ☛ Why_The_Economist_has_put_its podcasts_behind_a_paywall⠀⇛ But ultimately The Economist is extending the principle of not giving its journalism away for free into the audio space for the first time. One of the biggest barriers to paywalled podcasts is the fact that the majority of listeners come through Apple and Spotify. # ⚓ [Old] The Scotsman ☛ Orwell_out_of_copyright:_a cornucopia_of_new_editions⠀⇛ Eric Blair, who was also George Orwell, died in 1950 at the age of 46. This means that, as of 1 January, the vast majority of his work is newly out of copyright, and publishers are free to reprint what was published before his death without having to pay royalties to his estate. It’s not quite a free-for-all because as DJ Taylor, perhaps the best of his biographers, pointed out in a recent article in The Critic, there have been editions of some books with new material published since 1950 which are still protected by copyright. These include editions of his letters. # ⚓ India Times ☛ AI_chatbots_are_scraping_news_reporting and_copyrighted_content:_report⠀⇛ The News Media Alliance, which represents nearly 2,000 outlets in the US, published a research that found developers of generative artificial intelligence (AI) systems, such as OpenAI and Google, "have copied and used news, magazine, and digital media content to train" their bots, CNN reported. # ⚓ Torrent Freak ☛ ACE_&_Georgian_Govt._Shut_Down_Pirate Sites_Already_"Shut_Down"_Last_Year⠀⇛ It's clear that the Eastern European country of Georgia must dramatically reduce its 90%+ piracy rates to have any chance of joining the EU. The Alliance for Creativity and Entertainment has just announced that in partnership with local government, two of the largest pirate sites in Georgia were recently "shut down." Interestingly, those same sites were also said to have "shut down" in 2022 when ACE member Cavea+ launched a streaming service in Georgia. # ⚓ Torrent Freak ☛ Filmmakers_Drop_Piracy_Lawsuit Against_Texas_Internet_Provider⠀⇛ Several filmmakers behind a piracy liability lawsuit targeting Texas-based internet provider, Grande Communications, have dismissed their complaint. The case was scheduled to go to trial next year with potentially millions of dollars in damages on the line. The parties haven't signed a settlement agreement and both will cover their own costs. # ⚓ Torrent Freak ☛ K-Content_Pirates_Face_New_'Copyright Crime'_Investigation_&_Analysis_Units⠀⇛ The government of South Korea says it will ramp up efforts to prevent online piracy of valuable local 'K-Content' including movies, TV shows, and increasingly popular short-form comics, known locally as 'webtoons'. With the launch of the "Copyright Crime Scientific Investigation Team" and the "Copyright Crime Analysis Center" it's hoped that the increasingly internationalized and sophisticated nature of online infringement can be tackled more effectively. * § Gemini* and Gopher⠀➾ o § Personal/Opinions⠀➾ # ⚓ hello_world⠀⇛ It encourages and fascinates me to see small (relatively at least) corners of the web like this surviving, and still keeping the familiar atmosphere of the "old web". If this kind of niche thing can survive... maybe I can too. # ⚓ Always_Be_..._Complicating?⠀⇛ In sales you should always be closing. Or at least thats what Alec Baldwin once said. In software development I guess you could be closing story tickets. But lately I've come to realize that the apparent goal of the business side is to mess with us. o § Technology and Free Software⠀➾ # ⚓ Connecting_a_LAN_to_internet_through_a_gateway⠀⇛ I have a mobile phone, a laptop, a network hub and a desktop computer. I configure the mobile phone as a hot spot and connect the laptop to the hot spot with wifi, the laptop is connected to internet with the mobile phone. With a network cable the laptop is connected to the hub and the desktop computer is also connected to the hub. The laptop has 2 network interfaces and is connected to both internet and the desktop computer. # § Internet/Gemini⠀➾ # ⚓ Intellectual_self-defence_and_intentionality_with media⠀⇛ When I was around 17 years old I came across the term 'intellectual self-defence' in some of the earliest readings that politicised me and helped encourage me to cultivate a critical disposition towards the social structures and information structures around me (n.b. for context, when I was 17 this was a few years before any of the big social media networks were a thing - let's say around a decade or so into the existence of HTTP). # ⚓ Tired_tired_tired⠀⇛ I'm more tired than tired this term. These long commutes are definitely wrecking me as well as the stress of a million little things that I have to do that no one really explained. # § Programming⠀➾ # ⚓ From_packer_to_lazy.nvim⠀⇛ This time I swapped out the plugin manager from packer to lazy.nvim. I'm certainly wary of spending too much time on productivity fine-tuning, but since this took a few hours in total and it's been well over a year since the last refactor, I'm okay with it. =============================================================================== * Gemini_(Primer) links can be opened using Gemini_software. It's like the World Wide Web but a lot lighter. ╘══════════════════════════════════════════════════════════════════════════════╛ ¶ Lines in total: 2456 ➮ Generation completed at 02:50, i.e. 8 seconds to (re)generate ⟲