𝕿𝖊𝖈𝖍𝖗𝖎𝖌𝖍𝖙𝖘 Bulletin for Tuesday, January 03, 2023

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Generated Wed 4 Jan 02:41:20 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/2023/01/03/

╒═══════════════════ 𝐑𝐄𝐂𝐄𝐍𝐓 𝐁𝐔𝐋𝐋𝐄𝐓𝐈𝐍𝐒 ════════════════════════════════════╕

Previous bulletins in IPFS (past 21 days, in chronological order):

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QmfK4VviyZTAsVrucs7LLyQVXy6qvWzpZkkW319Z93v9HU

╒═══════════════════ 𝐈𝐍𝐃𝐄𝐗 ═══════════════════════════════════════════════════╕

⦿ Analytics India Magazine, Sponsored by Microsoft, Helps Show That Microsoft Hates Linux and Still Attacks GNU/Linux With Relentless Lies | Techrights

⦿ [Meme] How to Destroy One’s Own Company | Techrights

⦿ Stephen Fry Explains GNU and Free Software | Techrights

⦿ 2023: New Highs for GNU/Linux Usage in Desktops and Laptops | Techrights

⦿ Happy 2023. Techrights Now Has Over 7,000 Objects in IPFS! | Techrights

⦿ IRC Proceedings: Sunday, January 01, 2023 | Techrights

⦿ IRC Proceedings: Monday, January 02, 2023 - corrected | Techrights

⦿ Still Rumours of Microsoft Layoffs This Month | Techrights

⦿ When You Realise That Your Employer Not Only Abandons Free Software But is Also Becoming Truly Dodgy (and Starts Taking Money From Bill Gates Under a Non-Disclosure Agreement) | Techrights

⦿ Where Sirius ‘Open Source’ Originally ’Re’(Started) in 2017 | Techrights

⦿ Full Report on Sirius ‘Open Source’ Inc./Limited/Corporation | Techrights

⦿ The EPO is Lying or Just Strategically Faking It. There’s No ’Unitary Effect’ at the EPO. There’s No Unitary Patent or Unified Patent Court (UPC) Either. | Techrights

䷼ Bulletin articles (as HTML) to comment on (requires login):

	http://techrights.org/2023/01/03/analytics-india-mag-microsoft-fud/#comments

	http://techrights.org/2023/01/03/destroying-own-company/#comments

	http://techrights.org/2023/01/03/gnu-and-free-software/#comments

	http://techrights.org/2023/01/03/gnu-linux-desktops-and-laptops/#comments

	http://techrights.org/2023/01/03/ipfs-7000/#comments

	http://techrights.org/2023/01/03/irc-log-010123-2/#comments

	http://techrights.org/2023/01/03/irc-log-020123-2/#comments

	http://techrights.org/2023/01/03/layoffs-microsoft-january-2023/#comments

	http://techrights.org/2023/01/03/no-freesw-and-nda/#comments

	http://techrights.org/2023/01/03/open-source-shell-game/#comments

	http://techrights.org/2023/01/03/report-on-sirius-open-source-inc/#comments

	http://techrights.org/2023/01/03/unitary-effect-pink-unicorn/#comments

䷞ Followed by Daily Links (assorted news picks curated and categorised):

	http://techrights.org/2023/01/03/budgie-f38/#comments

	http://techrights.org/2023/01/03/easyos-4-5-4/#comments

	http://techrights.org/2023/01/03/fwupd-1-8-9/#comments

                ䷩ 𝚕𝚒𝚗𝚎 82

╒═══════════════════ 𝐀𝐑𝐓𝐈𝐂𝐋𝐄 ═════════════════════════════════════════════════╕

(ℹ) Images, hyperlinks and comments at http://techrights.org/2023/01/03/analytics-india-mag-microsoft-fud/#comments

Gemini version at gemini://gemini.techrights.org/2023/01/03/analytics-india-mag-microsoft-fud/

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Gemini_version_available_♊︎

✐ Analytics_India_Magazine,_Sponsored_by_Microsoft,_Helps_Show_That_Microsoft

Hates_Linux_and_Still_Attacks_GNU/Linux_With_Relentless_Lies⠀✐

Posted in Deception, Free/Libre_Software, FUD, GNU/Linux, Microsoft, Windows at

5:49 am by Dr. Roy Schestowitz

Video_download_link | md5sum

Microsofters Panic as GNU/Linux Spreads

Creative Commons Attribution-No Derivative Works 4.0

http://techrights.org/videos/gnu-linux-2023-growth.webm

Summary: GNU/Linux is growing rapidly in India and some Indian sites have begun

attacking GNU/Linux with totally fabricated claims (of course some of those

sites receive money from Microsoft); the subject was discussed in IRC yesterday

and a video was made to summarise things

TODAY and yesterday we discussed some market share statistics and long-debunked

FUD about GNU/Linux [1, 2], seeing that only_one_in_four_(4!)_machines

accessing_the_Web_is_running_Windows. In other words, three quarters of Web

site requests are estimated to not come from Windows. Here’s how GNU/Linux has

grown in the world’s most populated nation:

🄸🄼🄰🄶🄴🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽⦇GNU/Linux_india⦈_

“We need to encourage more OEMs to ship with GNU/Linux. Not just Chromebooks

but truly free systems.”The subject was discussed_in_IRC_yesterday, but the

above video gives somewhat of a summary. To paraphrase one person, we must

consider not only desktop (and laptop) market share but also Android,

supercomputers etc. The market share of Linux and GNU/Linux is vast. Shown in

the cover (or “poster” as W3C dubbed it) above is the share of countries

dominated by Android. Every Android device has Linux in it.

It was moreover noted (in IRC) that usability studies showed that GNU/Linux is

much easier to use on the desktop than Microsoft Windows, and has been for

decades now. It’s all about getting a system pre-installed. We need to

encourage more OEMs to ship with GNU/Linux. Not just Chromebooks but truly free

systems.

“It’s worth noting that the latest article from the FUDmeister, Anirudh VK,

celebrates Microsoft’s war on the GPL…”Microsoft won’t allow this to happen.

We’ve shown many examples — and concrete evidence for these examples — of

Microsoft blackmailing shops and OEMs to prevent this. If people cannot talk/

walk to the store and buy a machine with GNU/Linux preinstalled, they’re left

to wrestle with Microsoft’a artificial barriers, such as UEFI_‘secure’_boot.

It’s worth noting that the latest article from the FUDmeister, Anirudh VK,

celebrates Microsoft’s war on the GPL (encouraging_plagiarism and GPL

violations). He celebrates Microsoft and proprietary software in some piece

entitled “Microsoft Chief Celebrates GitHub Copilot’s Glory”. Whether he’s on

Microsoft’s payroll or not, he certainly acts like it. New year, new gig? █

🄸🄼🄰🄶🄴🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽⦇Anirudh_VK:_Microsoft_Chief_Celebrates_GitHub_Copilot’s

Glory⦈_

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⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿

⣿⣿⠛⠛⠛⡇⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠇⣿⣿⣿⣿⣿⣿

⣿⣿⣾⣾⣷⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿

⣿⣿⣾⣾⣷⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠟⠛⠉⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢫⢭⠭⣭⠭⣭⡭⡭⡭⡭⢭⣭⠭⡭⡭⠭⠭⠭⣭⣥⣭⣭⢹⣿⣿⣿

⣿⣿⣿⣿⣿⢇⠛⠛⠛⠛⠛⠛⠋⠉⢉⣈⣉⣀⣤⣤⣤⣶⣶⣶⣿⣶⣶⣤⣤⣄⣉⡉⠙⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⡸⠬⠴⠦⠬⠷⠧⠭⠥⠦⠼⠾⠤⠶⠯⠤⠦⠥⠿⠿⠿⠿⢸⣿⣿⣿

⣿⣿⣿⣿⣿⡆⣶⣶⣶⣿⣿⡿⠿⠿⠟⠛⠛⠛⠛⠛⠛⠋⠉⠉⠉⣉⣉⣉⣉⣉⣉⣉⣀⣀⣀⣀⣤⣤⣀⣀⡀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣂⣀⣀⣀⣀⣀⣀⣀⣘⠛⣣⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⠁⠉⠉⠁⠀⠀⠀⠀⠒⠒⠒⠚⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠐⠚⠛⠛⠛⠛⠛⠛⠛⢛⠛⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠃⣿⣿⣿⣿⣿⣿

⣿⣿⡟⢉⠋⠃⠛⠛⠛⠛⠛⠛⠛⠛⠒⠐⠒⠒⠒⠒⠒⠒⠒⠒⠀⠒⠒⠒⠒⠒⠒⠒⠒⠂⠐⠒⠒⠒⠒⠚⠛⠛⠛⠙⠛⠛⠛⠓⠒⠒⠒⠒⠢⠒⠒⠒⠒⠒⠒⠒⠒⠂⠐⠒⠒⠒⠒⠒⠒⠒⠒⠀⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢙⣿⣿⣿⣿⣿⣿⣿⠟⠍⣻⣿⣿⣿⣿⣿⣿⡿⠩⢛⣿⣿⣿⣿⣿⣿⣿⠏⡙⣿⣿⣿⣿⣿⣿⣿⡿⠉⢻⣿⣿⣿⣿⣿⣿⣿⠯⢙⣿⣿⣿⣿⣿⣿⣿⠏⠉⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⢀⣾⣿⣿⣿⣿⣿⣿⡟⠀⣰⣿⣿⣿⣿⣿⣿⡿⡁⢠⣿⣿⣿⣿⣿⣿⣿⢃⠈⣼⣿⣿⣿⣿⣿⣿⡟⠀⣰⣿⣿⣿⣿⣿⣿⣿⠃⢀⣾⣿⣿⣿⣿⣿⣿⢏⠀⣴⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠘⣾⣿⣿⣿⣿⣿⣿⡟⠈⢸⣿⣿⣿⣿⣿⣿⡿⠃⣵⣿⣿⣿⣿⣿⣿⡿⠇⢌⣾⣿⣿⣿⣿⣿⣿⠟⠁⣱⣿⣿⣿⣿⣿⣿⡿⠃⢣⣿⣿⣿⣿⣿⣿⣿⠟⢈⣾⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣿⣿⣿⣿⣿⣿⣿⣿⣄⣾⣿⣿⣿⣿⣿⣿⣿⡀⣰⣾⣿⣿⣿⣿⣿⣿⣷⣤⣾⣿⣿⣿⣿⣿⣿⣿⣄⣾⣿⣿⣿⣿⣿⣿⣿⣤⣠⣿⣿⣿⣿⣿⣿⣿⣿⣶⣼⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣅⢂⣹⢀⠀⠉⠁⠉⣉⠉⢹⣿⣿⣿⣿⣿⣿⡑⢊⣇⢇⠉⠈⡍⠉⠉⢩⢹⣿⣿⣿⣿⣿⣏⠒⣩⡿⠈⡍⠋⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⢂⣹⠐⠁⡒⡑⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⠟⡛⢿⢛⠛⠛⠻⠛⠛⢻⢛⠛⢻⣿⣿⣿⣿⠿⠿⡟⡛⠛⠻⠛⢻⠛⠛⠛⠻⠻⢛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣶⣾⣾⣶⣶⣶⣾⣶⣶⣾⣿⣿⣿⣿⣿⣿⣷⣶⣶⣷⣶⣿⣴⣶⣶⣶⣶⣦⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⡀⢄⣤⢐⡀⡄⣦⠂⣠⣠⠀⡄⡄⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⡟⠁⠀⠀⢻⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠈⠉⠀⠁⠁⠉⠈⠈⠈⠀⠈⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣧⣯⣹⣉⣾⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡓⠢⢚⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⠀⠀⠀⠃⠂⠀⠐⠛⠀⠘⠈⠀⠀⠀⠀⠐⠐⠀⠀⠚⠀⠁⠐⠀⠀⠁⠈⠃⠀⠀⠘⠯⠀⠀⠚⠈⠑

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣷⡛⠲⠃⠙⠻⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠤⡄⠀⣄⠀⢄⢄⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⡻⢱⡇⡄⢠⠀⢈⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠣⠼⠧⠥⠶⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀

⣿⣿⣿⣿⣿⣿⣿⣿⣇⣫⣀⣫⣏⣏⣽⣝⣩⣇⣯⣿⣶⣇⣽⣏⣽⣼⣵⣾⣩⣿⣩⣯⣹⣝⣽⣹⣩⣯⣿⣱⣺⣏⣯⣿⣹⣯⣽⣗⣾⣫⡋⣝⣀⣯⣉⣷⣍⣿⣶⣃⣫⣋⣍⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣽⣿⣿⣽⣿⣿⣝⣿⣼⣿⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿⣿⣽⣯⣿⣽⣽⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣯⣭⣽⣿⣿⣯⣿⣯⣿⣿⣿⣿⣿⣽⣽⣿⣿⣹⣿⣿⣯⣭⣿⣿⣿

                ䷩ 𝚕𝚒𝚗𝚎 244

(ℹ) Images, hyperlinks and comments at http://techrights.org/2023/01/03/destroying-own-company/#comments

Gemini version at gemini://gemini.techrights.org/2023/01/03/destroying-own-company/

Gemini_version_available_♊︎

✐ [Meme]_How_to_Destroy_One’s_Own_Company⠀✐

Posted in Deception, Free/Libre_Software at 8:39 pm by Dr. Roy Schestowitz

🄸🄼🄰🄶🄴🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽⦇That'll_show_the_staff!_If_only_they_stopped_talking_about

                      what_actually_happened...⦈_

Summary: In the coming days we’ll show how Sirius_‘Open_Source’ basically shot

its own foot in a number of different ways

⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⢀⡄⠀⡀⠤⣀⢀⣀⠄⢀⡀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⠉⠉⠉⠁⠀⡀⣀⠀⢀⢀⢀⣀⡀⠀⠀⢀⣄⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣤⡉⢹⣿⠠⠀⠘⠋⠚⠛⠓⠱⠉⢙⠲⠇⠀⠉⠀⠀⠀⠀⠀⠀⢠⣶⣾⣷⣽⣷⡶⣶⣦⣀⠀⠈⣽⣿⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠐⢎⡺⣿⢂⣄⣾⡞⠯⠇⠰⠁⠀⠤⠢⠰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣶⣿⣿⣿⣿⠂⠀⣨⣽⣽⣿⣿⣿⣽⣿⣿⣿⣿⣿⠛⠁⠀⠀⠁⠃⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⠀⠰⢿⣿⣿⣿⣿⣿⣿⣿⣷⢻⣿⣿⣇⠀⠀⠀⠀⠐⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠿⠛⠛⠋⠁⠀⠀⠀⠙⠻⣿⣿⣿⣿⣶⣾⣿⣿⣿⣤⡄⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠄

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠿⣿⣿⣿⣿⠇⠀⠀⣀⣀⣀⣀⣄⣀⣀⢠⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠿⠃⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣷⣤⣤⣤⣄⣠⣄⠀⠈⠛⠛⣻⣿⣿⣿⣿⣿⣿⣽⣿⣿⡼⢿⢿⣵⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣾⡇⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠟⣃⣀⣫⣶⣶⣶⣤⣴⣶⣶⣶⣶⣤⣤⣄⣠⡔⣴⣿⣿⣿⡿⢉⣭⣉⣉⣙⣿⣯⣭⡅⠰⣤⣴⣿⣶⡦⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣔⢶⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶

⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⡞⣸⣿⣿⣿⡿⣡⣿⣿⣿⣿⣿⣿⣿⡿⠁⢼⣿⡿⣿⠏⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡯⣭⣭⣯⢩⣭⢩⣭⡏⣭⣭⡽⣭⣭⣥⣽⣿⣿⡿⠁⣭⣽⣿⡿⣽⣿⣯⢫⣤⢨⣭⠙⣭⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢫⣿⣿⡯⣯⣿⣯⡿⣽⣿⡍⣿⣿⡍⣭⢽⣿⣿

⢙⣿⡻⣻⣿⠨⢸⣿⣼⣿⢱⣿⢻⡏⡇⣿⣿⣿⣿⣿⡇⡆⣿⣿⣿⣯⣿⣮⣍⣾⣿⣾⣿⠀⣿⡟⣿⣿⣿⢻⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⠞⢸⣿⠛⢹⡏⣿⠈⣿⣯⡇⣿⣯⡅⣿⠚⠛⠛

⣇⣿⣗⣽⣿⢸⢸⣿⢸⣿⢸⣿⢾⣧⠇⣿⡟⣿⣿⣿⣇⡃⣿⣟⣻⡏⣷⣈⣿⠿⣿⢸⣿⠀⣿⣇⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣏⣿⡇⢸⣿⠀⣿⡷⣿⡇⣿⡇⠀⣿⡇⠀⣛⠀⠀⠀

⣿⢫⢫⣋⡭⣼⣮⣭⣬⣭⣬⣥⣮⣍⣧⠉⢡⣿⣿⣿⠉⣵⣽⣿⣿⣿⣾⣭⣭⡀⠉⠈⠉⠀⠈⠉⠁⠀⠈⠉⠉⠉⠛⠛⠛⠛⠛⠛⠛⠛⠉⠉⠉⠉⠉⠀⠀⠈⠉⠉⠀⠈⠉⠀⠉⠁⠉⠁⠉⠁⠀⠉⠁⠀⠉⠀⠀⠀

⣿⡿⡿⣾⣿⣿⣿⣿⣿⣿⣾⣿⠿⣿⣽⡀⠀⣿⣿⣿⢓⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

[21A⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⢠⠄⠀⡠⢤⣀⡀⣀⠄⢠⣤⡤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⠉⠍⠉⡁⠠⡀⢄⡀⣀⠀⣀⢀⡄⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣤⡉⢹⣿⠠⠠⠐⠛⠛⠛⠳⠿⠟⡛⠝⠇⠀⠈⠀⠀⠀⠀⠀⠀⢰⣶⣾⣷⣽⣿⡶⣾⣦⣀⠀⠈⢽⣿⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠰⣾⣿⣋⣻⣻⣿⡿⠿⠿⠼⠕⣐⠮⠿⠲⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣶⣿⣿⣿⣿⠂⠀⢨⣭⣯⣿⣿⣿⣽⣿⢿⣿⣿⣿⡛⠁⠀⠀⠀⠂⠀⠀⠀⠈⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠘⠛⠉⠀⠀⠀⠀⠀⠀

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣇⠠⠀⠀⠀⠐⠐⠂⠀⠀⠀⠀⠀⠄⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠿⠛⠛⠋⠁⠀⠀⠀⠘⠻⢿⣿⣿⣿⣿⣾⣿⣿⣿⣤⡄⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠿⣿⣿⣿⣿⠇⠀⠀⣀⣀⣀⣀⣤⣀⣀⢠⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠿⠃⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣷⣤⣤⣤⣄⣠⣄⠀⠈⠙⠛⣻⣿⣿⣿⣿⣿⣿⣽⣿⣿⡽⢿⢿⣷⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣾⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠂⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠟⣃⣀⣯⣶⣶⣶⣦⣶⣴⣶⣶⣶⣤⣤⣴⢠⠖⣴⣿⣿⣿⡿⢉⣍⣍⣉⣙⣻⣯⣭⡅⠰⣤⣴⣿⣶⣦⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣄⢶⣦⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶

⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡚⣸⣿⣿⣿⡟⣰⣿⣿⣿⣿⣿⣿⣿⡿⢁⢴⣿⡿⣿⠟⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡯⣭⣭⣭⢩⣭⢩⣭⡏⣭⣭⡙⣭⣬⣥⣿⣿⣿⡿⠁⣭⣽⣿⡟⣽⣿⣯⢫⣤⢬⣭⠙⣭⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢫⣽⣿⡯⣯⣿⣯⣿⣽⣽⡍⣭⣽⡍⣽⢽⣿⣿

⢛⣿⡻⣿⣿⠨⢸⣿⣼⣿⢳⣿⢻⡏⡇⣿⣿⣿⣿⣿⡇⡄⣿⣿⣿⣿⣿⣮⣍⣾⣿⣿⣿⠀⣿⡏⣿⣿⣿⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⠞⢸⣿⠛⢹⡏⣿⠈⣿⣧⡅⣿⣯⡅⣿⠚⠛⠛

⣏⣿⡻⣽⣿⢸⢸⣿⢸⣿⢸⣿⢾⣧⡇⣿⡟⣿⣿⣿⣇⡃⣿⣟⣻⡏⣶⣈⣿⡿⣿⢸⣿⠀⣿⣇⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣏⣿⡇⢸⣿⠀⣿⡷⣿⡇⣿⡇⠀⣿⡇⠀⣛⠀⠀⠀

⡿⣯⢺⣩⠭⣼⣮⣭⣬⣭⣬⣥⣮⣭⣶⠉⢡⣿⣿⣿⠉⣵⣿⣿⣿⣿⣾⣭⣽⡀⠉⠀⠉⠀⠈⠉⠁⠀⠈⠉⠉⠉⠛⠛⠛⠛⠛⠛⠛⠛⠋⠉⠉⠉⠉⠀⠀⠈⠉⠉⠀⠈⠉⠀⠉⠁⠉⠁⠉⠁⠀⠉⠁⠀⠉⠀⠀⠀

⢯⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠅⠀⣿⣿⣿⢓⣽⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⢀⡄⢀⣠⣤⣀⣀⣀⠄⢤⣤⣄⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⠉⠩⠉⠁⠀⠀⣀⢀⢀⣀⡀⠀⠄⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣤⡍⢹⣿⠠⠅⠨⠓⠛⠛⠻⠥⠟⡛⠫⠏⠀⠨⠁⠀⠀⠀⠀⠀⢰⣶⣾⣷⣽⣿⡶⣾⣦⣀⠀⠈⢽⣿⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠰⣶⡮⣚⣧⢯⣯⣿⡿⡿⠷⡇⢔⡹⠟⠯⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣶⣿⣿⣿⣿⠂⠀⢨⣭⣯⣿⣿⣿⣽⣿⢿⣿⣿⣿⡛⠁⠀⠀⠉⠁⠁⠀⠀⠉⠻⠅⠀⠀⠀⠀⠀⠀⠀⠀⠈⠘⠛⠈⠀⠀⠀⠀⠀⠀

⣶⡆⢸⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⣇⠠⠀⠀⠀⠀⠂⠂⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠿⠛⠛⠋⠁⠀⠀⠀⠘⠻⢿⣿⣿⡿⣿⣾⣿⣿⣿⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⢠⠀

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠿⣿⣿⣿⣿⠇⠀⠀⣀⣀⣀⣀⣤⣀⣀⢠⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠿⠃⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣷⣤⣤⣤⣄⣠⣄⠀⠈⠛⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⢿⢿⣷⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⡀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠂⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠟⣃⣀⣯⣶⣶⣶⣦⣶⣶⣶⣶⣶⣤⣤⣤⢄⡔⣴⣿⣿⣿⡿⢉⣭⣍⣉⣙⣻⣯⣭⡅⢰⣦⣤⣿⣶⣦⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣄⢶⣦⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡒⣸⣿⣿⣿⡟⣰⣿⣿⣿⣿⣿⣿⣿⡿⢁⢴⣿⡿⣿⠏⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡯⣭⣽⣭⢩⣭⢩⣭⡏⣯⣭⣽⣥⣭⣥⣽⣿⣿⡿⠁⣭⣽⣿⣿⣽⣿⣯⢫⣤⢨⣭⠙⣥⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢫⣽⣿⡯⣯⣿⣯⣿⣽⣿⡏⣽⣽⡍⣽⢽⣿⣿

⢙⣿⣻⣿⣿⠨⢸⣿⣼⣿⢷⣿⢻⡟⡇⣿⣿⣿⣿⣿⡇⡆⣿⣿⣿⣯⣿⣮⣍⣾⣿⣿⣿⠀⣿⡏⣿⣿⣿⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠞⢸⣿⠛⢹⡏⣿⠈⣿⣯⡅⣿⣯⡅⣿⠚⠛⠛

⣯⣿⢿⣿⣿⢸⢸⣿⢸⣿⢸⣿⢾⣧⡇⣿⡟⣿⣿⣿⣇⡃⣿⣟⣻⡏⣷⣘⣿⡿⣿⢸⣿⠀⣿⣇⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣏⣿⡇⢸⣿⠀⣿⡷⣿⡇⣿⡇⠀⣿⡇⠀⣛⠀⠀⠀

⡿⣯⢪⡭⡭⣾⣬⣭⣬⣭⣬⣥⣮⣭⣦⠉⢡⣿⣿⣿⠉⣵⣭⣿⣿⣿⣾⣭⣯⠀⠉⠈⠉⠀⠈⠉⠁⠀⠈⠉⠉⠉⠛⠛⠛⠛⠛⠛⠛⠛⠋⠉⠉⠉⠉⠀⠀⠈⠉⠉⠀⠈⠉⠀⠉⠁⠉⠁⠉⠁⠀⠉⠁⠀⠉⠀⠀⠀

⣫⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⢓⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⢀⡀⢀⡠⣤⢀⡀⣀⠤⢠⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⠉⠉⠉⢁⣀⢀⢀⢄⣀⣄⣠⢀⠤⡀⡀⣀⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣤⡍⢹⣿⠠⠠⠐⠋⠉⠛⠛⠿⠟⠷⠹⠽⠀⠉⠁⠀⠀⠀⠀⠀⢠⣶⣾⣷⣽⣿⡶⣾⣦⣀⠀⠈⢽⣿⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠸⡩⡾⣟⡟⢿⢻⣿⣿⣿⣴⡇⣂⣫⣾⠷⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠐⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣶⣿⣿⣿⣿⠂⠀⢨⣭⣭⣿⣿⣿⣽⣿⢿⣿⣿⣿⡋⠁⠀⠀⠁⠀⠀⠀⠉⠘⠙⠃⠀⠀⠈⠁⠁⠀⠀⠁⠙⠋⠋⠉⠀⠀⠀⠀⠀⠀

⣶⡆⢸⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣷⢹⣿⣿⣇⠀⠀⠀⠀⠐⠀⠂⡀⠀⠀⠀⠈⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠿⠛⠛⠋⠁⠀⠀⠀⠘⠻⢿⣿⣿⡿⣿⣾⣿⣿⣿⣦⡄⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡀

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠿⣿⣿⣿⣿⠇⠀⠀⣀⣀⣀⣀⣤⣀⣀⢠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠿⠃⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣷⣤⣤⣤⣄⣠⣄⠀⠈⠛⠛⣻⣿⣿⣿⣿⣿⣿⣽⣿⣿⡽⢿⢿⣵⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠟⣃⣀⣯⣶⣶⣶⣦⣤⣴⣶⣶⣶⣤⣤⣤⢠⡔⣴⣿⣿⣿⡿⢉⣭⣍⣉⣙⣿⣯⣭⡅⢰⣤⣤⣿⣶⣦⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣄⢶⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡚⣸⣿⣿⣿⡟⣰⣿⣿⣿⣿⣿⣿⣿⡿⢁⢼⣿⡿⣿⠏⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡯⣯⣭⣭⢩⣯⢩⣭⠏⣭⣭⡽⣭⣬⣥⣿⣿⣿⡿⠁⣭⣽⣿⣿⣽⣿⣯⢫⣤⢨⣭⠙⣥⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢫⣽⣽⡯⣯⣿⣯⣿⣽⣯⡍⣽⣭⡍⣽⢽⣿⣿

⢙⣿⣻⣿⣿⠨⢸⣿⣼⣿⢷⣿⢻⡗⡇⣿⣿⣿⣿⣿⡇⡄⣿⣿⣿⣯⣿⣮⣍⣾⣿⣾⣿⠀⣿⡏⣿⣿⣿⣻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠞⢸⣿⠛⢹⡏⣿⠈⣿⣯⡅⣿⣯⡅⣿⠚⠛⠛

⣯⢿⣽⢿⣿⢸⢸⣿⢸⣿⢸⣿⢾⣧⡇⣿⡟⣿⣿⣿⣇⡃⣿⣟⣻⡏⣶⣘⣿⣿⣿⢸⣿⠀⣿⣇⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣏⣿⡇⢸⣿⠀⣿⡷⣿⡇⣿⡇⠀⣿⡇⠀⣛⠀⠀⠀

⡿⢽⢪⡫⡭⣾⣮⣭⣬⣭⣬⣥⣮⣭⣦⡉⢡⣿⣿⣿⠉⣵⣿⣯⣿⣿⣾⣭⣽⡀⠉⠈⠉⠀⠈⠉⠁⠀⠈⠉⠉⠉⠛⠛⠛⠛⠛⠛⠛⠛⠋⠉⠉⠉⠉⠀⠀⠈⠉⠉⠀⠈⠉⠀⠉⠁⠉⠁⠉⠁⠀⠉⠁⠀⠉⠀⠀⠀

⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⣿⣿⣿⢓⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣄⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⢀⡄⠀⡠⣤⣀⢀⣠⠄⣤⡤⣄⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠉⠉⡉⠁⠀⠀⢀⣀⣠⣀⠤⠀⠀⠀⠀⢀⣀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣤⡍⢹⣿⠨⠆⠈⠘⠊⠙⠙⠼⢟⣟⠸⠾⠀⠈⠀⠀⠀⠀⠀⠀⢠⣶⣾⣷⣽⣿⡶⣾⣦⡀⠀⠀⠀⢸⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣷⡄⠀⢼⡙⣈⢀⣿⢲⣿⣮⣸⡕⣝⣶⣶⣃⠃⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣶⣿⣿⣿⣿⠂⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⡍⠁⠀⠀⠀⠀⠀⠀⠈⠋⠃⠁⠈⠉⠀⠀⠀⠀⠀⠉⠘⠉⠁⠘⠁⠀⠀⠀⠀

⣶⡆⢸⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⠀⠀⠘⠛⠿⠿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣇⠀⠀⠀⠀⠀⠒⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀

⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠿⠛⠛⠋⠁⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠁⠀

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠿⠃⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣷⣤⣤⣤⣤⣠⣄⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣍⣮⣿⣿⣿⣾⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠰⠶⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠂⠁⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠟⣃⣀⣯⣶⣶⣶⣶⣴⣴⣶⣶⣶⣤⣤⣦⣤⠖⣴⣿⣿⣿⡿⢉⣭⣍⣩⣙⣻⣯⣭⡅⢰⣦⣤⣶⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡲⣦⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡞⣸⣿⣿⣿⡟⣰⣿⣿⣿⣿⣿⣿⣿⡿⢁⣼⡿⣿⡟⢍⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡯⣯⣭⣭⢩⣭⢩⣭⡏⣭⣭⣽⣭⣭⣥⣿⣿⣿⡿⠁⣭⣽⣿⣟⣽⣿⣯⢫⣤⢬⣭⠉⣥⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣧⢩⣽⣿⡯⣯⣽⣭⣿⣭⣭⡍⣽⣿⡍⣿⢽⣿⣿

⢹⣿⣻⣿⣿⠨⢸⣿⣼⣿⢳⣿⢻⡏⡇⣿⣿⣿⣿⣿⡇⡆⣿⣿⣿⣯⣿⣮⣍⣿⣿⣾⣿⠐⣿⣯⣿⣿⣿⢻⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠞⢸⣿⠛⢻⡏⣿⠀⣿⣧⡅⣿⣯⡅⣿⠚⠛⠛

⣯⣿⣿⣿⣿⢸⢸⣿⢸⣿⢸⣿⢾⣧⡇⣿⡟⣿⣿⣿⣇⡃⣿⣟⣻⣏⣷⣜⣿⣿⣿⢸⣿⠀⣿⣧⣿⠿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⠿⠟⣿⣏⣿⡇⢸⣿⠀⣿⡷⣿⡇⣿⡇⠀⣿⡇⠀⣛⠀⠀⠀

⣿⣿⢫⡯⡭⣼⣮⣭⣬⣭⣬⣥⣮⣭⣧⠍⢡⣿⣿⣿⠉⣵⣿⣿⣿⣿⣾⣭⣿⡀⠉⠈⠉⠀⠈⠉⠁⠀⠈⠉⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠈⠉⠈⠉⠉⠀⠀⠈⠉⠉⠀⠈⠉⠀⠉⠁⠉⠁⠉⠁⠀⠉⠁⠀⠉⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⣿⣿⣿⠓⣹⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⢀⡀⢀⣠⣤⣀⣀⣠⡤⣠⣤⣤⡠⣀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⡏⠈⠉⣁⣀⣄⢀⣄⣀⣄⣄⣤⠄⠠⠀⣀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣬⡍⢹⣿⢠⠋⠼⠻⠋⠛⠻⡽⢿⣿⠿⢿⠁⠩⢅⠀⠀⠀⠀⠀⢠⣶⣾⣷⣿⣷⡶⣾⣦⡀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⣟⣿⡿⣿⢿⡿⣿⣿⣿⣿⢿⣾⡿⡿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠐⠔⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣶⣿⣿⣿⣿⠂⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠈⠈⠀⠉⠙⢛⠏⠋⡉⣉⡉⠈⠛⠎⠣⠟⠛⠛⠉⠻⠀⠀⠀⠀⠀

⣶⡆⢸⣿⢈⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⠀⠀⠀⠈⠉⡙⠉⢉⠉⠉⠉⠛⣿⣿⣿⣿⣇⠀⠐⠐⠂⠒⡀⠀⠀⡀⠀⠤⢐⠃⠀⠊⠀⠀⠀⡄⠀⠀⠐⢀⣀⡀⠀⠀

⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠿⠛⠛⠋⠁⠀⠀⠀⠀⠀⡄⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠈⠀⠉⠀⡠⣉⠂⠠⠀⠀⠀⠀⠀⠂⠀⠀⠈⡁⠡⢈⣁⠤

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠺⠿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣦⣄⠀⠀⠀⠁⠀⠐⠐⠂⠀⠀⠀⠀⠂⠀⠀⠀⠀⠄⠄⠁⠀

⠿⠃⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣷⣤⣤⣤⣄⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣾⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⡀⡠⡀⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐

⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠘⣽⣿⣿⣿⣿⣿⣿⣿⣿⣾⢿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠁⠁⠀⠒⠉⠓⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠟⣃⣈⣯⣶⣶⣶⣦⣴⣶⣶⣶⣶⣦⣤⡤⢤⠔⣴⣿⣿⣿⡿⢉⣭⣍⣉⣙⣻⣯⣭⡅⢰⣦⣴⣶⡶⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡐⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⡚⣸⣿⣿⣿⡟⣰⣿⣿⣿⣿⣿⣿⣿⡿⢁⣼⡿⣿⢟⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡯⣿⣿⣯⢩⣯⢩⣯⡏⣯⣭⡽⣽⣬⣥⣿⣿⣿⡿⠁⣭⣽⣿⣿⣽⣿⣯⢫⣤⣬⣿⢉⣴⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣿⣿⣯⣯⣿⣯⣿⣽⣿⡍⣽⣯⡍⣿⢽⣿⣿

⢙⣿⣺⣿⣿⠨⢸⣿⣼⣿⣷⣿⢻⡟⡇⣿⣿⣿⣿⣿⡇⡆⣿⣿⣿⣯⣿⣮⣍⣿⣿⣿⣿⠺⣿⣿⣿⣿⣿⢻⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢸⣿⠛⢹⡏⣿⠈⣿⣯⡏⣿⣯⡅⣿⠚⠛⠛

⣯⢟⡿⣿⣿⢸⢸⣿⢸⣿⢸⣿⢾⣧⡇⣿⡟⣿⣿⣿⣇⡃⣿⣟⣻⣏⣿⣌⣿⣿⣿⢸⣿⠀⣿⣧⣿⠛⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⠛⠛⣿⣏⣿⡇⢸⣿⠀⣿⡷⣿⡇⣿⡇⠀⣿⡇⠀⣛⠀⠀⠀

⣿⣽⢫⡫⣭⣾⣮⣭⣮⣭⣬⣥⣮⣭⣶⠍⢡⣿⣿⣿⠉⣷⣿⣿⣿⣿⣾⣭⣿⡄⠉⠈⠉⠀⠈⠉⠁⠀⠈⠉⠀⠉⠉⠀⠀⠀⠉⠁⠈⠉⠈⠉⠈⠉⠉⠀⠀⠈⠉⠉⠀⠈⠉⠀⠉⠁⠉⠁⠉⠁⠀⠉⠁⠀⠉⠀⠀⠀

⢿⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⢓⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⣶⣶⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⢀⡀⠀⣠⣤⠄⣀⠀⠤⢠⣤⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⡏⠈⠁⠀⠀⢀⣀⡀⣀⣠⠄⠄⠀⠀⢀⣄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣬⡍⢹⣿⢠⠃⠀⠃⠈⠐⠋⠈⠱⠖⢍⢑⠀⠉⠀⠀⠀⠀⠀⠀⢠⣶⣾⣷⣽⣿⡲⣶⣦⡀⠀⠀⠀⠀⠀⢘⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⡷⠀⠐⠀⢶⡢⡬⣵⣪⡥⢜⢯⢷⠯⠨⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⣿⣿⣶⣿⣿⣿⣿⠂⠀⠀⠀⠠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠁⠈⠁⠁⠀⠀⠁⠁⠊⠂⠀⠠⠉⠉⠉⠂⠀⠀⠀⠀⠀⠀

⣶⡆⢸⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣷⣯⣿⣿⣯⣿⣿⡇⠀⠐⠂⠂⡀⠀⠀⡀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠿⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⢈⣙⣻⣿⣿⣿⣿⣿⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠿⠃⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣷⣤⣤⣤⣄⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣷⣿⣶⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⡀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠘⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⡿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠂⠂⠁⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠟⣃⣀⣫⣶⣶⣶⣦⣶⣶⣶⣶⣶⣤⣤⣤⣤⠖⣴⣿⣿⣿⡿⢉⣭⣭⣭⣹⣿⣭⣭⡅⠰⣦⣴⣶⣶⠦⣠⣾⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⢟⣽⣿⣿⣿⣿⣿⣿⡯⢰⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡞⣸⣿⣿⣿⡟⣠⣿⣿⣿⣿⣿⣿⣿⡿⢁⣴⣿⡟⢟⣋⣼⣿⣿⣿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡯⣭⣭⣭⢩⣭⢩⣭⡏⣯⣭⡹⣭⣥⣥⣽⣿⣿⡿⠁⣭⣽⣿⡟⣽⣿⣯⢫⣤⢨⣭⢉⣴⣿⣿⣿⣿⣿⣿⣝⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢨⣭⣽⡯⣯⣿⣯⣿⣽⣯⡍⣿⣿⡍⣯⢽⣿⣿

⢙⣿⣻⣿⣿⠨⢸⣿⣼⣿⢻⣿⢻⡏⡇⣿⣿⣿⣿⣿⡇⡂⣿⣿⣿⣯⣿⣮⣍⣾⣿⣾⣿⠸⣿⡟⣿⣿⣿⢻⣿⣟⣿⣿⣿⣯⣿⣿⣿⣿⣽⣿⣽⣿⣿⣿⣿⣿⣷⣿⠇⢸⣿⠛⢻⡏⣿⠈⣿⣯⡟⣿⣯⡅⣿⠚⠛⠛

⣯⣿⡽⣿⣿⢸⢸⣿⢸⣿⢸⡿⢾⣧⡇⣿⡟⣿⣿⣿⣇⡃⣿⣟⣻⡏⣿⣈⣿⡿⣿⢸⣿⠀⣿⣧⣿⠃⣿⣿⠛⣿⣿⠿⠿⠿⣿⡿⢿⣿⢿⣿⢿⣿⣛⡛⠋⣿⣏⣿⡆⢸⣿⠀⣿⡷⣿⡇⣿⡇⠀⣿⡇⠀⣛⠀⠀⠀

⣿⣫⢫⡍⠭⣾⣮⣭⣬⣭⣬⣥⣌⣭⣧⠉⢱⣿⣿⣿⠉⣵⣿⣿⣿⣿⣾⣭⣿⠀⠉⠈⠉⠀⠈⠉⠁⠀⠈⠉⠀⠉⠉⠀⠀⠀⠉⠁⠈⠉⠈⠉⠈⠉⠉⠀⠀⠈⠉⠉⠀⠈⠉⠀⠉⠁⠉⠁⠉⠁⠀⠉⠁⠀⠉⠀⠀⠀

⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⠅⠀⣿⣿⣿⠓⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣶⣶⣶⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⢀⠄⠀⣀⡠⠀⣀⢀⠄⣠⠄⠄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⣿⣿⣿⣿⣋⣿⣿⣿⣿⣿⣿⣏⠀⠠⠄⠀⢠⡀⡀⢀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣬⡍⢹⣿⠀⠁⠀⠁⠉⠁⠂⠀⠅⠚⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣾⣷⣽⣿⡲⣶⣦⡀⠀⠀⠀⠀⠀⠀⣨⣾⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⡿⠇⠀⠀⠀⠢⡈⡮⠠⠄⢔⠺⠂⠀⠨⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣶⣿⣿⣿⣿⠂⠀⠀⠀⠀⠐⠻⠿⢿⣿⣿⣿⡿⣿⣿⣟⣿⣿⠀⠀⠀⠀⠀⠀⠁⠁⠀⠀⠙⠈⠀⠀⠀⠀⠁⠀⠂⠀⠀⠀⠀⠀⠀⠀

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⠇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠿⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⢷⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢿⡽⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣷⣶⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠿⠃⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣷⣤⣤⣤⣤⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣳⣿⣿⣿⣿⣿⣿⣿⣿⣾⣹⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠐⠁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠛⣃⣀⣫⣶⣶⣴⣦⣴⣶⣶⣶⣶⣦⣤⣦⢤⠔⣴⣿⣿⣿⡿⢉⣭⣉⣩⣙⣻⣯⣭⡅⠰⣦⣤⣶⣶⠖⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢰⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶

⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⡛⣸⣿⣿⣿⡟⢠⣿⣿⣿⣿⣿⣿⣿⡿⠁⣼⣿⠿⣛⣅⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡯⣭⣭⣭⢩⣭⢩⣭⡏⣭⣭⡽⣭⣥⣥⣽⣿⣿⡿⠁⣭⣽⣿⡟⣽⣿⣯⢋⣤⢨⣬⣡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⢻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣥⣭⡭⣯⣯⣯⢟⣽⣿⡍⣽⣭⡍⣭⢽⣿⣿

⢑⢿⣻⣿⣿⠨⢸⣿⣼⣿⢱⣿⢻⡟⡇⣿⣿⣿⣿⣿⡇⡄⣿⣿⣿⣧⢿⣮⣍⣿⣿⣾⣿⠛⣿⡏⣿⡟⣿⢻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⠇⢸⣿⠛⢹⡏⣿⠀⣿⣯⡅⣿⣯⡅⣿⠚⠛⠛

⣟⢿⠹⣺⣿⢰⢸⣿⢸⣿⢸⣿⢾⣧⡇⣿⡟⣿⣿⣿⣇⡃⣿⣟⣻⡏⣷⣈⣿⡿⣿⢸⣿⠀⣿⣇⣿⠃⣿⣾⠛⣿⣿⠛⠛⠛⣿⡿⢿⣿⢹⣿⢻⣿⣚⠛⠋⣿⣏⣿⡆⢸⣿⠀⣿⡷⣿⡇⣿⡇⠀⣿⡇⠀⣛⠀⠀⠀

⣿⢫⢫⡍⢭⢌⣮⣭⣬⣭⣬⣅⣮⣭⣦⡍⢱⣿⣿⣿⠉⣵⣭⣭⣿⣿⣾⣭⣽⠀⠉⠈⠉⠀⠈⠉⠁⠀⠈⠉⠀⠉⠉⠀⠀⠀⠉⠁⠈⠉⠈⠉⠈⠉⠉⠀⠀⠈⠉⠉⠀⠈⠉⠀⠉⠁⠉⠁⠉⠁⠀⠉⠁⠀⠉⠀⠀⠀

⠿⠷⣶⣶⠿⣿⣿⣿⣿⣿⡿⣿⣿⡿⣽⠃⠀⣿⣿⣿⢓⣽⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣶⣿⣶⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⢀⡄⢀⣠⡤⠀⢀⣀⢤⣠⣤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⢀⡀⣄⢄⢤⡤⠀⠀⢀⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣬⡉⢹⣿⢀⠀⠈⠛⠊⠛⠜⠽⠲⢟⠱⢂⠀⠈⠁⠀⠀⠀⠀⠀⢠⣶⣾⣷⣽⣿⡲⣶⣦⡀⠀⠀⠀⠀⠀⠀⣨⣾⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠿⠃⠀⡊⣱⠰⡇⡿⡾⠩⢔⡯⢓⡿⠯⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣯⡇⢸⣿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣶⡿⣿⣿⣿⠂⠀⠀⠀⠀⠘⠿⢿⣿⢿⡿⠿⠿⣿⣿⣹⣿⣿⠀⠀⠀⠁⠀⠁⠈⠁⠂⠉⢉⡂⣨⣕⠄⠢⠈⠘⠉⠀⠀⠀⠀⠀⠀⠀

⣶⡆⢸⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⠀⠀⠀⠀⠀⢀⠀⠀⠴⢍⣁⣉⣉⣉⣡⣹⣿⣿⡀⠀⠀⠂⠀⠀⠀⡀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀

⣿⠇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠿⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⣭⣿⣿⢿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢟⡽⢿⣿⣿⣯⣿⣿⣿⡿⣿⣿⣷⣶⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀

⠿⠃⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣷⣤⣤⣤⣤⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣳⣿⣿⣿⣿⣿⣿⣿⣿⣾⣹⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⢀⠠⡀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠙⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡞⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠒⠁⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠟⣃⣀⣫⣶⣶⣴⣤⣶⣶⣶⣶⣶⣤⣤⡤⣠⠔⣴⣿⣿⣿⡿⢉⣭⣉⣉⣉⣿⣯⣭⡅⠰⣤⣴⣶⣶⡶⣢⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣷⣽⣿⣿⣿⣿⣿⣿⣿⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶

⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⡿⣿⢮⡟⣸⣿⣿⣿⡟⣠⣿⣿⣿⣿⣿⣿⣿⡿⠁⣼⣿⠿⣛⣍⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡯⣭⣭⣭⢩⣭⢩⣭⡏⣭⣭⣽⣭⣭⣥⣿⣿⣿⡿⠁⣭⣽⣿⡟⣽⣿⣯⢫⣤⢨⣭⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣧⣭⡭⣯⣿⣯⣿⣭⣭⡍⣽⣽⡍⣯⢽⣿⣿

⢙⣿⣻⣿⣿⠨⢸⣿⣼⣿⢰⣿⢻⡏⡇⣿⣿⣿⣿⣿⡇⡆⣿⣿⣿⣧⣿⣮⣍⣿⣿⣾⣿⠛⣿⡏⣿⡟⣿⢻⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣯⣿⠇⢸⣿⠛⢸⡏⣿⠈⣿⣯⡇⣿⣯⡅⣿⠚⠛⠛

⣯⣿⠟⢻⣿⢸⢸⣿⢸⣿⢸⣿⢾⣧⡇⣿⡟⣿⣿⣿⣇⡃⣿⣟⣻⡏⣶⣈⣿⣿⣿⢸⣿⠀⣿⣧⣿⠃⣿⣾⠛⣿⣿⠛⠛⠛⣿⡿⢿⣿⢺⣿⢻⣿⣛⡛⠋⣿⣎⣿⡆⢸⣿⠀⣿⡷⣿⡇⣿⡇⠀⣿⡇⠀⣛⠀⠀⠀

⣷⣻⢪⡩⣭⣾⣮⣭⣬⣭⣬⣥⣮⣭⣧⡍⢱⣿⣿⣿⠉⣵⣿⣿⣿⣿⣾⣭⣽⠀⠉⠈⠉⠀⠈⠉⠁⠀⠈⠉⠀⠉⠉⠀⠀⠀⠉⠁⠈⠉⠈⠉⠈⠉⠉⠀⠀⠈⠉⠉⠀⠈⠉⠀⠉⠁⠉⠁⠉⠁⠀⠉⠁⠀⠉⠀⠀⠀

⢿⡿⣿⣿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣯⣿⡁⠀⣿⣿⣿⢓⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

[21A⠀⠈⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠈⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⡄⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⣿⣷⣶⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣄⠀⠀⠀⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣆⠀⠀⠀⠰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣦⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣦⣤⣤⣤⣤⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⣤⣤⣤⣤⢩⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣯⢠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣯⡍⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⢰⣶⣿⣿⣿⣿⣶⣿⣦⣀⠸⣿⣿⣿⣿⠟⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀

⣿⡇⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⣻⣿⣿⣿⣿⣷⣿⣿⣿⣿⢮⣽⣿⣿⣯⣺⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡟⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠰⠠⢸

⣿⡷⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⠿⠿⣿⣿⣿⣿⣿⣏⠽⣭⣉⣉⣉⣉⣭⣿⣿⣿⡿⢿⣶⣶⣀⣀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⣀⣀

⣿⡇⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⢸⣿⣿⣿⣿⣿⣿⢿⣻⣿⣿⣧⣤⣿⣿⣿⣿⣿⣿⠟⣦⣽⣿⣿⣿⣿⣿⣿⣿⣿⣷⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣶⣆⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⠻⠿⣿⣿⣿⣿⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣣⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣿⣽⣻⣿⣿⠿⠿⠟⠉⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠿⡟⣻⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣵⣿⣷⣴⣦⣤⣤⣤⣄⢠⣿⣿⣿⣿⣿⣿⣿⣿⢫⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⢿⣦⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⡟⢾⣿⡿⠿⠿⠿⠿⠿⠿⠿⠟⠛⠻⠿⠟⠻⠛⣣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣛⠻⠛⠛⠛⠛⠛⠃⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⣛⣛⡛⣛⡛⠛⠛⠛⠛⠟⠛⠛⠛⠛⠛⠛

⢿⣃⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣼⣿⣿⣿⡿⣫⣭⣭⣿⣿⣿⣿⣭⣥⢰⣶⣶⣶⣶⡶⣢⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣾⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⢏⣾⣿⢿⣿⣯⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢾⣿⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣯⣿⠾⠿⠛⠛⠛⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⣛⠛⡛⢛⠛⠙⠛⠛⠛⠛⠛⠛⠛⠛⢛⠛

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡟⠈⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠛⠿⠿⠿⠿⠿⠿⠿⠿⠛⠛⠛⠋⠉⠁⠀⠀⢤⠆⠔⠶⠂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢸⣿⣿⣿⣺⣿⣿⣿⣿⣿⣿⣿⣿⡄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡲⣍⣨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣬⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣷⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡙⠆⠁⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣶⣿⣷⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⢀⠀⠀⣠⠠⠀⢀⠀⠄⣠⠄⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⢀⡀⢀⠀⢀⠀⠀⠀⢀⣠⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣬⡍⢹⣿⠠⠀⠀⠀⠁⠁⠅⠐⠀⠢⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣾⣷⣽⣿⡲⣶⣦⡀⠀⠀⠀⠀⠀⠀⢨⣾⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠿⠃⠀⠀⠐⠠⡄⡦⡸⠄⠜⠔⠒⠁⠲⢅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣶⡿⣿⣿⣿⠂⠀⠀⠀⠀⠘⠿⠿⠿⢿⢿⣿⣿⣿⣿⡹⣿⣿⠀⠀⠀⠀⠀⠀⠈⠀⠀⠁⠀⠀⠀⠀⠀⠀⠉⠀⠙⠀⠀⠀⠀⠀⠀⠀

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⠀⠀⠀⠀⠀⠀⠐⠀⠩⢿⣿⣿⣿⣿⣿⣥⣿⣿⡀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠿⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⣭⣿⣿⢿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢞⡽⡿⣿⣿⣯⣿⣿⣿⡿⣿⣿⣷⣶⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠿⠃⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣷⣤⣤⣤⣄⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣫⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡃⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠙⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠐⠀⠁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠛⣃⣀⣫⣶⣶⣦⣦⣴⣴⣶⣶⣶⣤⣤⣤⣤⠄⣴⣿⣿⣿⡿⢉⣭⣭⣉⣉⣻⣯⣭⡅⠐⣤⣤⣴⣶⠶⣢⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣵⣽⣿⣿⣿⣿⣿⣿⣿⡖⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶

⣿⣿⣿⣿⣿⣿⣿⢻⡛⣿⡟⡿⣻⣟⢻⡏⣾⢸⣿⣿⣿⡟⢠⣿⣿⣻⢻⡟⣿⣟⣿⢡⣜⣛⣿⣏⣥⣼⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣏⣽⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢫⡟⣿⢿⡿⣻⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⢸⡇⣿⠼⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⢡⣿⣿⣿⣿⢾⡇⣿⢄⢸⡾⡜⣸⣷⣟⣾⣿⣿⣿⣿⣿⣯⣿⣿⢼⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣼⡇⣿⣾⣷⣿⣽⢸⣿⣿⣿⣿⣿⣿⣿⣿

⢙⣿⣻⣟⢾⡯⣿⣸⣃⣟⣿⣯⣻⣟⣸⣏⢿⣿⣿⣿⡟⣸⣿⣻⣻⣻⣸⣇⠿⣾⠘⠇⠐⠛⠿⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⠇⠻⠘⠃⠛⠹⠋⠻⠻⠈⠛⠛⠙⠛⠛⠛⠛⠛

⣟⣿⣌⣤⣴⣬⢭⡷⣫⢭⡋⣭⣭⣡⣭⡤⠈⣿⣿⣿⣥⣭⣭⡍⢫⣭⠫⣭⡤⡏⢠⣤⢀⣤⣤⠠⣤⠄⣤⢨⡍⣭⡟⢻⡟⢻⡿⢿⢻⡿⠟⣿⣿⠛⣿⡟⢫⣭⡅⣤⢤⢠⣤⢤⣄⣤⢠⣤⢤⣤⣤⠀⠀⠀⠀⠀⠀⠀

⣟⣿⢺⣟⣇⣿⢺⡅⣿⢸⡇⣿⣿⡏⣿⠀⢠⣿⣿⣧⡟⣿⣿⡇⣿⣹⣼⢸⢰⡀⣿⣹⣸⡇⣙⠀⣿⠀⣿⢸⡇⣟⣿⢸⡇⢸⡇⠘⣿⠀⠀⣿⣿⢠⣏⣧⢸⡷⠇⣿⠾⢸⡷⢸⡿⣿⢸⡷⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀

⣿⡿⡾⣿⣟⣿⣞⣷⣿⣾⣷⣛⣛⣅⣛⠀⠀⣽⣿⣿⢃⣛⣛⣃⣛⣝⣻⣘⣸⡇⠛⠙⠋⠓⠛⠀⠛⠀⠙⠚⠙⠋⠛⠘⠓⠘⠓⠀⠛⠀⠀⠛⠛⠘⠋⠛⠘⠃⠀⠛⠀⠘⠓⠚⠃⠛⠘⠓⠚⠛⠛⠐⠐⠐⠀⠀⠀⠀

⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⢀⠀⢀⣠⣄⢀⢀⣀⡤⣠⣤⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣽⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣏⠀⠀⠄⣀⢀⣀⣄⣤⡤⠤⠄⣀⢀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣤⡍⢹⣿⢠⠃⠀⠚⠛⠎⠗⠳⠵⡫⣌⡛⠉⠉⠁⠀⠀⠀⠀⠀⢠⣶⣾⣷⣽⣿⣲⣾⣦⡀⠀⠀⠀⠀⠀⠀⢨⣾⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠿⠃⠀⡆⢫⠰⡽⣶⡾⠴⢶⣻⢿⡹⠿⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣶⡿⣿⣿⣿⠂⠀⠀⠀⠀⠐⠻⠿⠿⢿⣿⣿⣿⣿⣿⢻⣿⣿⠀⠀⠈⠀⠁⠀⠋⠁⠀⠉⠀⠀⡻⠆⠔⠐⠋⠈⠊⠀⠁⠀⠀⠀⠀⠀

⣶⡆⢸⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⠀⠀⠀⠀⠀⢀⢀⠀⠈⠻⣿⣿⣿⣿⣾⣹⣿⣿⡀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀

⣿⠇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠿⠛⠛⠋⠁⠀⠀⠈⠀⠀⠀⠀⢀⣤⣬⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠜

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠿⡝⣿⣿⣿⣟⣿⣿⣿⡿⣿⣿⣷⣶⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠿⠃⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣷⣤⣤⣤⣄⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣫⣾⣿⣿⣿⣿⣿⣿⣿⣾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⣄⠠⠀⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠙⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠒⠁⠒⠀⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠛⣃⣈⣫⣶⣶⣶⣶⣶⣴⣶⣶⣶⣦⣤⣦⣤⠖⣴⣿⣿⣿⡿⢉⣭⣩⣉⣹⣿⣯⣭⡅⢰⣦⣴⣶⣶⡶⣢⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣮⣵⣿⣿⣿⣿⣿⣿⣿⣿⡆⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶

⣿⣿⣿⣿⣿⣿⣿⢻⡛⣿⡟⡿⣻⣟⢻⡟⣿⢸⣿⣿⣿⡟⢠⣿⣿⣻⢻⡟⣿⣟⣿⢡⣸⣟⣿⣏⣥⣼⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢫⡟⣿⢿⡿⣻⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⢸⡇⣿⢼⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⢱⣿⣿⣿⣿⢾⡇⣿⢌⢸⡾⡞⣹⣷⣟⣿⣿⣿⣿⣿⣿⣯⣿⣿⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⢸⡇⣿⣾⣷⣿⣽⢸⣿⣿⣿⣿⣿⣿⣿⣿

⢙⣿⣻⣿⣿⣿⣿⣸⣃⣟⣿⣯⣻⣟⣼⣏⢿⣿⣿⣿⡟⣼⣿⣻⣻⣻⣺⣇⠿⣾⠘⠇⠁⠛⠿⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠻⠸⠃⠟⠹⠋⠻⠻⠘⠛⠛⠛⠛⠛⠛⠛⠛

⣿⣿⢍⣬⣽⣭⢭⡻⣫⢭⡋⣭⣭⣩⣭⡭⠈⣿⣿⣿⣥⣭⣭⡝⢫⣭⠯⣭⡤⡏⢠⣤⢀⣤⣤⠠⣤⠄⣤⢨⡍⣽⡟⢻⡟⢻⡿⢿⢿⡿⠟⣿⣿⠛⣿⡟⢩⣭⡅⣤⢤⢠⣤⢤⣄⣤⢠⣤⢤⣤⣤⠀⠀⠀⠀⠀⠀⠀

⣿⣿⢺⣟⣇⣿⢺⡇⣿⢸⡇⣿⣿⣿⣿⠀⢠⣿⣿⣧⡟⣿⣿⡇⣿⣹⣼⢸⢸⡀⣿⣹⣸⡇⣙⠀⣿⠀⣿⢸⡇⣟⣿⢸⡇⢸⡇⠘⣿⠀⠀⣿⣿⢰⣏⣧⢸⡷⠃⣿⠾⢸⡷⢸⡿⣿⢸⡷⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣾⣿⣿⣿⣞⣷⣿⣾⣷⣟⣛⣭⣛⡀⠀⣽⣿⣿⢃⣛⣛⣃⣛⣝⣻⣘⣸⡆⠛⠙⠋⠓⠛⠀⠛⠀⠙⠚⠙⠋⠛⠘⠓⠘⠓⠀⠛⠀⠀⠛⠛⠘⠋⠛⠘⠃⠀⠛⠀⠘⠓⠚⠃⠛⠘⠓⠚⠛⠛⠐⠐⠐⠀⠀⠀⠀

⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣶⣶⣶⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⢀⠀⠀⣠⣤⣄⢀⢀⡤⣠⡠⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣽⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣯⠀⠀⠄⠀⢀⢀⣄⢀⢀⡀⠀⠀⢀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣬⡍⢹⣿⢠⠀⠀⠀⠉⠠⠁⠲⠄⠄⠱⠀⠈⠈⠀⠀⠀⠀⠀⠀⢠⣶⣾⣷⣽⣷⣲⣶⣦⡀⠀⠀⠀⠀⠀⠀⣨⣾⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠿⠇⠀⠀⢬⠨⠽⢼⡰⠃⠔⠀⠲⠀⠨⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣶⡿⣿⣿⣿⠂⠀⠀⠀⠀⠘⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠁⠁⠀⠀⠀⠀⠀⠁⠀⠀⠈⠀⠁⠄⠠⠀⠀⠀⠀⠀

⣶⡆⢸⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⠀⠀⠀⠀⠀⠀⠁⠀⠠⢄⣀⣀⣠⣼⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠿⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣽⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠠

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠿⠃⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣷⣤⣤⣤⣄⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣫⣾⣿⣿⣿⣿⣿⣿⣿⣿⢷⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠙⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠉⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠛⣃⣀⣯⣶⣶⣶⣦⣴⣴⣶⣶⣶⣤⣤⣤⣤⠔⣴⣿⣿⣿⡿⢉⣭⣭⣉⣉⣻⣯⣭⡅⢰⣦⣴⣶⣤⡶⣢⣶⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣷⡰⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶

⣿⣿⣿⣿⣿⣿⣿⢻⡛⣿⡟⡿⣻⣟⢻⡏⣿⢸⣿⣿⣿⡟⢠⣿⣿⣻⢻⡟⣿⣟⣿⢡⡼⣚⣷⣏⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⢿⡿⣻⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⢸⡇⣿⢜⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⢡⣷⣿⣷⣿⢾⡇⣿⢄⢸⡾⡞⣸⣷⣟⣾⣿⣿⣿⣿⣿⣯⣿⣿⢼⣿⣿⣵⣿⣿⣿⣟⣿⣿⣿⢿⣿⣿⣿⣿⣟⢹⡇⣿⣾⣿⣿⣽⢸⣿⣿⣿⣿⣿⣿⣿⣿

⢙⣿⣻⣿⣿⣿⣿⣸⣃⣟⣿⣯⣻⣟⡼⣏⢿⣿⣿⣿⡟⣸⣿⣻⣻⣻⣸⣇⠿⣾⠘⠇⠁⠛⠿⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠻⠘⠃⠛⠹⠋⠻⠛⠘⠛⠛⠛⠛⠛⠛⠛⠛

⣯⣿⣍⣭⣝⣭⢭⡻⣫⢭⡋⣭⣭⣩⣭⡭⠈⣿⣿⣿⣥⣭⣭⡝⢫⣭⠯⣭⡤⡏⢠⣤⢀⣤⣤⠠⣤⠄⣤⢨⡍⣽⡟⢻⡿⢿⡿⢿⢿⡿⠟⣿⣿⠛⣿⡟⢫⣭⡍⣤⢤⢠⣤⢤⣄⣤⢠⣤⢤⣤⣤⠀⠀⠀⠀⠀⠀⠀

⣿⣿⢺⣟⣇⣿⢺⡅⣿⢸⡇⣿⣿⡷⣿⠀⢠⣿⣿⣧⡟⣿⣿⡇⣿⣸⣼⢸⢰⡀⣿⣹⣸⡇⣙⠀⣿⠀⣿⢸⡇⣿⣿⢸⡇⢸⡇⠘⣿⠀⠀⣿⣿⢰⣏⣧⢸⡷⠃⣿⠾⢸⡷⢸⡿⣿⢸⡷⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀

⣯⡿⡾⣿⣟⣿⣞⣷⣿⣾⣷⣟⣛⣵⣛⠀⠀⣽⣿⣿⢃⣛⣛⣃⣛⣝⣻⣘⣸⡇⠛⠙⠋⠛⠛⠀⠛⠀⠙⠚⠙⠋⠛⠘⠓⠘⠓⠀⠛⠀⠀⠛⠛⠘⠋⠛⠘⠃⠀⠛⠀⠘⠓⠚⠃⠛⠘⠓⠚⠛⠛⠐⠐⠐⠀⠀⠀⠀

⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣶⣶⣶⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⢀⡀⠀⣀⣤⡀⣀⣄⠤⣠⢤⢠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣽⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢀⡀⣀⣀⣀⡀⠀⠀⢀⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣤⡍⢹⣿⠀⠀⠀⠀⠀⠤⠂⠑⠓⠶⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣾⣷⣽⣿⣲⣾⣦⣀⠀⠀⠀⠀⠀⠀⣨⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠇⠀⠡⠤⢹⡠⢔⡨⢻⠟⢳⠜⠖⠤⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣶⣿⣿⣿⣿⠂⠀⠀⠀⠀⠘⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠈⠁⠀⠑⠀⠀⠀⠀⠀⠀⠀⠀⠓⠈⠉⠀⠀⠀⠀⠀⠀⠀

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⠀⠀⠀⠀⠀⠀⠀⠀⠠⢄⣀⣀⣀⣼⣿⣾⣿⣿⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⠇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠿⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠿⠃⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣷⣤⣤⣤⣄⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣫⣾⣿⣿⣿⣿⣿⣿⣿⣿⢷⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠙⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠛⣃⣀⣯⣶⣶⣶⣶⣶⣶⣶⣶⣶⣤⣤⣦⣠⡖⣴⣿⣿⣿⡿⢉⣭⣉⣩⣍⣹⣯⣭⡅⢐⣦⣴⣶⣦⡶⢂⣴⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣷⡴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶

⣿⣿⣿⣿⣿⣿⣿⢻⡛⣿⡟⡿⣻⣟⢻⡖⣿⢸⣿⣿⣿⡟⢠⣿⣿⣻⢻⡟⣿⣟⣿⢡⣼⣗⣿⣏⣥⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⢿⡿⣻⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⢸⡇⣿⢼⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⢡⣿⣿⣿⣿⢾⡇⣿⢄⢸⡾⡞⢸⣷⣟⣿⣿⣿⣿⣿⣿⣯⣿⣿⢼⣿⣿⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢹⡇⣿⣾⣿⣿⣽⢸⣿⣿⣿⣿⣿⣿⣿⣿

⢉⢿⣻⣻⣿⣿⣿⣸⡃⣟⣿⣯⣻⣟⣼⣏⢿⣿⣿⣿⡟⣸⣿⣻⣻⣻⣸⣇⠻⣾⠘⠇⠁⠛⠿⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠻⠘⠃⠛⠹⠋⠻⠛⠘⠛⠛⠛⠛⠛⠛⠛⠛

⣯⣿⣋⣭⣽⣭⢭⡿⣫⢭⡋⣭⣭⣩⣭⡭⠈⣿⣿⣿⣥⣭⣭⡍⢫⣭⠫⣭⡤⡏⢠⣤⢀⣤⣤⠠⣤⠄⣤⢩⡍⣿⡟⢻⡿⢿⡿⢿⢿⡿⠟⣿⣿⠛⣿⡟⢫⣭⡍⣤⢤⢠⣤⢤⣄⣤⢠⣤⢤⣤⣤⠀⠀⠀⠀⠀⠀⠀

⣯⢿⢸⣟⣇⣿⢺⡅⣿⢸⡇⣿⣿⣿⣿⠀⢠⣿⣿⣧⡟⣿⣿⡇⣿⣸⣼⢸⢰⠀⣿⣹⣸⡇⣙⠀⣿⠀⣿⢸⡇⣿⣿⢸⡇⢸⡇⠘⣿⠀⠀⣿⣿⢰⣇⣧⢸⡷⠇⣿⠾⢸⡷⢸⡿⣿⢸⡷⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀

⣿⡿⡾⣿⣟⣿⣞⣷⣿⣾⣷⣛⣛⣽⣛⠀⠀⣽⣿⣿⠃⣛⣛⣃⣛⣝⣻⣘⣸⡆⠛⠙⠋⠓⠛⠀⠛⠀⠙⠚⠙⠋⠛⠘⠓⠘⠓⠀⠛⠀⠀⠛⠛⠘⠋⠛⠘⠃⠀⠛⠀⠘⠓⠚⠃⠛⠘⠓⠚⠛⠛⠐⠐⠐⠀⠀⠀⠀

⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣶⣿⣷⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⢀⡀⠀⠀⢄⡀⣀⡄⠤⢠⢄⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣺⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢀⡀⠀⢀⡄⡀⠀⠀⢀⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣤⡉⢹⣿⠀⠀⠀⠐⠂⠢⠀⠔⠄⠐⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣾⣷⣽⣿⣲⣶⣦⡀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠿⠃⠀⠁⠠⢨⠄⠐⠢⠌⠍⢂⠋⠐⠤⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣶⣿⣿⣿⣿⠂⠀⠀⠀⠀⠐⠻⠿⡿⠿⠿⠿⣿⣿⣿⢻⣿⣿⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠀⠁⠀⠀⠀⠀⠀⠀⠀

⣶⡆⢸⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⣿⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⠇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠿⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡿⣟⢿⣿⣿⣟⣿⣿⣿⡿⣿⣿⣿⣿⣶⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠿⠃⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣷⣤⣤⣤⣄⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠄⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠙⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠟⣃⣀⣫⣶⣶⣦⣴⣴⣶⣶⣶⣶⣦⣤⣤⣤⠄⣴⣿⣿⣿⡿⢉⣭⣍⣉⣙⣽⣯⣭⡅⢐⡦⣤⣶⣶⡶⣢⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣿⣿⣿⣿⣿⣿⣿⣿⣧⢲⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶

⣿⣿⣿⣿⣿⣿⣿⢻⡛⣿⡟⡿⣻⣟⢻⡟⣿⢸⣿⣿⣿⡟⢀⣿⣿⣻⢻⡟⣿⣟⣿⢡⣼⢟⣿⣏⣭⣴⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡜⣿⢻⡿⣻⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⢸⡇⣿⢜⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⢡⣷⣿⣿⣿⢾⡇⣿⢄⢸⡾⡞⣸⣷⣟⣿⣿⣿⣿⣿⣿⣯⣿⣿⢼⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢹⡇⣿⣾⣿⣿⣭⢸⣿⣿⣿⣿⣿⣿⣿⣿

⢹⣿⣻⣟⣿⣿⣿⣸⣃⣟⣿⣯⣻⣟⣸⣏⢿⣿⣿⣿⡟⣼⣿⣻⣻⣻⣸⣇⠿⣾⠘⠇⠃⠛⠿⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠻⠘⠃⠛⠹⠋⠻⠛⠘⠛⠛⠛⠛⠛⠛⠛⠛

⣿⣿⣏⣭⣽⣭⢭⡿⣫⢭⡋⣭⣭⣩⣭⡭⠈⣿⣿⣿⣥⣩⣭⡝⢫⣭⠫⣭⡤⡟⢠⣤⢀⣤⣤⠠⣤⠄⣤⢨⡍⣽⡟⢻⡟⢻⡿⢿⢻⡿⠟⣿⣿⠛⣿⡟⢩⣭⡅⣤⢤⢠⣤⢤⣄⣤⢠⣤⢤⣤⣤⠀⠀⠀⠀⠀⠀⠀

⡿⢿⢸⣟⣇⣿⢺⡅⣿⢸⡇⣿⣿⡇⣿⠀⢀⣿⣿⣧⡟⣿⣿⡇⣿⣹⣼⢸⢰⡀⣿⣹⣸⡇⣙⠀⣿⠀⣿⢸⡇⣿⣿⢸⡇⢸⡇⠘⣿⠀⠀⣿⣿⢰⣇⣧⢸⡷⠇⣿⠾⢸⡷⢸⡿⣿⢸⡷⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣺⣿⣿⣿⣞⣷⣿⣾⣷⣛⣛⣥⣛⠀⠀⣽⣿⣿⠃⣛⣛⣃⣛⣝⣻⣘⣸⡆⠛⠙⠋⠓⠛⠀⠛⠀⠙⠚⠙⠋⠛⠘⠓⠘⠓⠀⠛⠀⠀⠛⠛⠘⠋⠛⠘⠃⠀⠛⠀⠘⠓⠚⠃⠛⠘⠓⠚⠛⠛⠐⠐⠐⠀⠀⠀⠀

⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⢀⠄⠀⡠⣤⣀⣀⣀⠤⣤⣀⢠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣺⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢀⣠⡠⢀⢠⣠⡤⠄⣤⣄⣤⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣤⡉⢹⣿⠠⠀⠀⠊⠁⠒⠴⠿⠏⠋⠋⠼⠅⠈⠀⠀⠀⠀⠀⠀⢠⣶⣾⣷⣽⣿⣶⣾⣦⡀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⠿⠃⢀⢥⢽⣪⣽⡵⡻⡿⣟⣟⠷⠗⠮⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠐⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣶⣿⣿⣿⣿⠂⠀⠀⠀⠀⠐⠻⠿⡿⠿⠿⢿⣿⣿⣿⢻⣿⣿⠀⠀⠀⠀⠀⠁⠋⠋⠁⠀⠐⠀⠄⠀⡀⠀⠃⠈⠉⢀⠀⠀⠀⠀⠀⠀

⣶⡆⢸⣿⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⠀⠀⠀⠀⠀⠀⠀⠂⠈⠛⠿⣿⣿⣿⣿⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠡⠀⠀⠀⠀⠀

⣿⠇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠿⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠈⠉

⣶⡆⢸⣿⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡿⣿⢿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣷⣶⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠿⠃⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣷⣤⣤⣤⣄⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠄⠄⠀⠀⠀⠆⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠙⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠁⠈⠉⠀⠂⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀

⠟⣃⣀⣯⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣤⣤⠔⣴⣿⣿⣿⡿⢉⣭⣭⣉⣝⣿⣏⣭⡅⢐⣦⣴⣶⣶⡶⣢⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣿⣿⣿⣿⣿⣿⣿⣿⣷⢲⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶

⣿⣿⣿⣿⣿⣿⣿⢻⡛⣿⡟⡿⣻⣟⢿⡟⣿⢸⣿⣿⣿⡟⢰⣿⣿⣻⣻⡟⣿⣟⣿⢡⣼⣟⣿⣟⣭⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡜⣿⢿⡿⣻⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⢸⡇⣿⢼⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⢡⣿⣿⣿⣿⢾⡇⣿⢄⢸⡾⡞⣸⣷⣟⣾⣿⣿⣿⣿⣿⣯⣿⣿⢼⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢹⡇⣿⣾⣿⣿⣽⢸⣿⣿⣿⣿⣿⣿⣿⣿

⢹⣿⣿⣿⣿⣿⣿⣸⣃⣟⣿⣯⣻⣟⣼⣯⢿⣿⣿⣿⡟⢸⣿⣻⣻⣻⣸⣇⠿⣞⠘⠇⠁⠛⠿⠟⠛⠿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠻⠘⠃⠛⠹⠋⠻⠻⠘⠛⠛⠛⠛⠛⠛⠛⠛

⣿⣿⣏⣭⣽⣭⢭⡿⣫⢭⡋⣭⣭⣩⣭⡭⠈⣿⣿⣿⣥⣩⣭⡍⣫⣭⠯⣭⡥⡏⢠⣤⢀⣤⣤⠠⣤⠄⣤⢨⡍⣽⡟⢻⡟⢿⡿⢿⢻⡿⠟⣿⣿⠛⣿⡟⢩⣭⡅⣤⢤⢠⣤⢤⣄⣤⢠⣤⢤⣤⣤⠀⠀⠀⠀⠀⠀⠀

⣿⣿⢺⣟⣇⣿⢺⡇⣿⢸⡇⣿⣿⣿⣿⠀⢠⣿⣿⣧⡟⣿⣿⡇⣿⣸⣾⢸⢰⠀⣿⣹⣸⡇⣙⠀⣿⠀⣿⢸⡇⣟⣿⢸⡇⢸⡇⠘⣿⠀⠀⣿⣿⢰⣏⣧⢸⡷⠇⣿⠾⢸⡷⢸⡿⣿⢸⡷⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣾⣿⣟⣿⣞⣷⣿⣾⣷⣟⣛⣽⣛⡀⠀⣽⣿⣿⠃⣛⣛⣃⣛⣝⣻⣙⣸⡇⠛⠙⠋⠛⠛⠀⠛⠀⠙⠚⠙⠋⠛⠘⠓⠘⠓⠀⠛⠀⠀⠛⠛⠘⠋⠛⠘⠃⠀⠛⠀⠘⠓⠚⠃⠛⠘⠓⠚⠛⠛⠐⠐⠐⠀⠀⠀⠀

⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣶⣾⣷⣶⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⢀⠄⠀⢀⣤⣀⢀⣄⠤⣠⢀⡠⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠉⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⢀⡀⢀⢀⣀⡀⠀⠠⠀⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣤⡍⢹⣿⠠⠀⠀⠂⠠⠀⠁⠈⠑⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣾⣷⣽⣿⣲⣶⣦⡀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⠀⠀⠨⢠⠔⢁⠪⠍⡄⠒⠶⠄⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣶⣿⣿⣿⣿⠂⠀⠀⠀⠀⠐⠿⢿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⠀⠀⠀⠀⠀⠁⠁⠁⠀⠀⠀⠂⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⠀⠀⠀⠀⠀⠀⠀⠈⢧⣈⣨⣿⣿⣿⣿⣹⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⠇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠿⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠿⡿⣿⣿⣿⣟⣿⣿⣿⡿⣿⣿⣶⣶⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠿⠃⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣷⣤⣤⣤⣄⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣫⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠙⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠟⢃⣀⣫⣦⣶⣦⣶⣶⣶⣶⣶⣶⣤⣴⣦⣠⠔⣴⣿⣿⣿⡿⢉⣭⣭⣉⣝⣻⣯⣭⡅⢐⣦⣴⣶⣤⡶⣢⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣾⣵⣿⣿⣿⣿⣿⣿⣿⣿⣆⢶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶

⣿⣿⣿⣿⣿⣿⣿⢻⡛⣿⡟⡿⣻⣟⢿⡟⣿⢸⣿⣿⣿⡟⢠⣿⣿⣻⢻⡟⣿⣟⣿⢠⣴⢟⣿⣏⣭⣼⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢧⡟⣿⢿⡿⣻⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⢸⡇⣿⢜⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⢡⣿⣿⣿⣿⢾⡇⣿⢄⢸⡾⡞⣸⣷⣟⣿⣿⣿⣿⣿⣿⣯⣿⣿⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⢸⡇⣿⣾⣿⣿⣭⢸⣿⣿⣿⣿⣿⣿⣿⣿

⢹⣿⣻⣿⣿⣿⣿⣸⣃⣟⣿⣯⣻⣟⣸⣏⢿⣿⣿⣿⡟⢸⣿⣻⣻⣻⣸⣇⠻⣞⠘⠇⠁⠛⠿⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠻⠘⠃⠛⠹⠋⠻⠛⠘⠛⠛⠛⠛⠛⠛⠛⠛

⣿⣿⣏⣭⣽⣭⢭⡻⣫⢭⡋⣭⣭⣩⣭⡭⠈⣿⣿⣿⣥⣭⣭⡍⢫⣭⠯⣭⡤⡏⢠⣤⢀⣤⣤⠠⣤⠄⣤⢨⡍⣽⡟⢻⡟⢻⡿⢿⢻⡿⠟⣿⣿⠛⣿⡟⢩⣭⡅⣤⢤⢠⣤⢤⣄⣤⢠⣤⢤⣤⣤⠀⠀⠀⠀⠀⠀⠀

⡿⣿⢸⣟⣇⣿⢺⡅⣿⢸⡇⣿⣿⡇⣿⠀⢠⣿⣿⣧⡟⣿⣿⡇⣿⣸⣾⢸⢰⠀⣿⣹⣸⡇⣙⠀⣿⠀⣿⢸⡇⣟⣿⢸⡇⢸⡇⠘⣿⠀⠀⣿⣿⢰⣏⣧⢸⡷⠃⣿⠾⢸⡷⢸⡿⣿⢸⡷⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀

⣿⣷⡾⣿⣟⣿⣞⣷⣿⣾⣷⣛⣛⣥⣛⡀⠀⣽⣿⣿⠃⣛⣛⣃⣛⣝⣻⣘⣸⡆⠛⠙⠋⠓⠛⠀⠛⠀⠙⠚⠙⠋⠛⠘⠓⠘⠓⠀⠛⠀⠀⠛⠛⠘⠋⠛⠘⠃⠀⠛⠀⠘⠓⠚⠃⠛⠘⠓⠚⠛⠛⠐⠐⠐⠀⠀⠀⠀

⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣶⣿⣿⣶⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⢀⠀⠀⠀⣄⡀⣀⡄⠤⣠⢀⠠⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣾⣿⣿⣿⣯⣽⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢀⢀⣀⡀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣤⡉⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⣾⣷⣽⣿⣲⣾⣦⡀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⠀⠠⢨⠀⠄⠨⠆⠠⠀⠂⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣶⡿⣿⣿⣿⠂⠀⠀⠀⠀⠐⠻⠿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⠀⠀⠀⠀⠀⠀⠀⠒⠿⣿⣿⣿⣿⣽⣿⣻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⠇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠟⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⣭⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⢦⢞⡼⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣷⣶⣶⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠟⠃⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣷⣤⣤⣤⣄⣠⣄⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣻⣿⣿⣾⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⢠⣾⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠙⢁⣀⣫⣦⣶⣦⣤⣶⣶⣶⣶⣶⣦⣤⣤⣤⠆⣴⣿⣿⣿⡿⢉⣍⣍⣉⣙⣙⣏⣭⡅⠰⠆⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣵⣿⣿⣿⣿⣿⣿⣿⣿⣷⠰⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶

⣿⣿⣿⣿⣿⣿⣿⢻⡛⣿⡟⡿⣻⣟⢳⡗⣻⢸⣿⣿⣿⡟⢠⣿⣿⣻⢻⡟⣿⣟⣿⢡⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⡟⣿⢻⡻⣻⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⢸⡇⣿⢜⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⢡⣿⣿⣿⣿⢾⡇⣿⢄⢸⣾⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣯⣿⣿⢼⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⡇⣿⣾⣷⣿⣭⢸⣿⣿⣿⣿⣿⣿⣿⣿

⢙⣿⣻⢿⣿⣿⣿⣸⡃⣟⣿⣯⣻⣟⣸⣏⢿⣿⣿⣿⡟⢸⣿⣻⣻⣻⣸⣇⠻⣞⠘⠏⠛⠘⠿⠛⠙⠛⠿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣏⢿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣏⡇⠻⠘⠃⠛⠹⠋⠻⠛⠈⠛⠛⠋⠛⠛⠛⠛⠛

⣯⣵⣌⣬⣽⣥⢭⡫⣪⢭⡋⣭⣬⡩⣭⡭⠈⣿⣿⣿⣥⣩⣭⡍⢫⣭⠫⣭⡤⡏⢠⣤⢀⣤⣤⠠⣤⠄⣤⢠⡌⣭⡟⢻⡟⢻⡿⢿⢻⡿⠟⣿⣿⠛⣿⡟⢫⣭⡍⣤⢤⢠⣤⢤⣄⣤⢠⡤⢤⣤⣤⠀⠀⠀⠀⠀⠀⠀

⠖⢾⢸⣟⣇⣿⢺⡅⣿⢸⡇⣿⣿⡇⣿⠀⢀⣿⣿⣧⡟⣿⣿⡇⣿⣸⣼⢸⢰⠀⣿⣹⣸⡇⣙⠀⣿⠀⣿⢸⡇⣟⣿⢸⡇⢸⡇⠘⣿⠀⠀⣿⣿⢠⣇⣧⢸⡷⠃⣿⠾⢸⡷⢸⡿⣿⢸⡷⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀

⣻⠿⠾⣿⠟⣿⣞⣷⡿⡾⣷⣛⢛⡥⣛⡀⠀⣽⣿⣿⠃⣛⣛⣃⣛⣝⣻⣘⣸⡆⠛⠙⠋⠓⠛⠀⠛⠀⠙⠚⠙⠋⠛⠘⠓⠘⠓⠀⠛⠀⠀⠛⠛⠘⠋⠛⠘⠃⠀⠛⠀⠘⠓⠚⠃⠛⠘⠓⠚⠛⠛⠐⠐⠐⠀⠀⠀⠀

⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣶⣿⣿⣶⣦⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⢀⠀⠀⠀⢤⡀⣀⡄⠠⣠⢀⢠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣾⣿⣿⣿⣯⣽⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⡀⣀⣀⡀⠀⠀⠀⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣤⡉⢹⣿⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⣾⣷⣽⣿⡶⣾⣦⡀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⠀⠠⢈⡀⠄⠈⠐⠁⠀⠂⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣶⡿⣿⣿⣿⠂⠀⠀⠀⠀⠐⠻⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⣤⣤⣤⣤⣼⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⠇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠿⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣾⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⢶⢞⣼⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣷⣶⣶⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠿⠃⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣷⣤⣤⣤⣄⣠⣄⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⣠⣾⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠛⢁⢀⣫⣶⣶⣤⣦⣴⣶⣶⣦⣶⣦⣤⣤⢤⠖⣴⣿⣿⣿⡿⢉⣍⣍⣉⣉⣙⣯⣭⡅⠰⠆⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣵⣿⣿⣿⣿⣿⣿⣿⣿⣷⠰⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶

⣿⣿⣿⣿⣿⣿⣿⢻⡛⣿⡟⡿⣻⣟⢓⡇⣻⢸⣿⣿⣿⡟⢠⣿⣿⣻⢻⡟⣿⣟⣟⢡⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣏⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⡟⣿⢻⡿⣻⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⢸⡇⣿⢜⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⢱⣿⣿⣿⣿⢾⡇⣿⢄⢸⣾⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣯⣿⣿⢼⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⡇⣿⣾⣿⣿⣽⢸⣿⣿⣿⣿⣿⣿⣿⣿

⢙⢿⣻⣿⣿⣿⣿⣸⣃⣟⣿⣯⣻⣟⣸⣏⢿⣿⣿⣿⡟⢸⣿⣻⣻⣻⣸⣇⠻⣞⠘⠏⠛⠘⠷⠛⠙⠛⠿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣏⢿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣏⡇⠻⠘⠃⠛⠙⠋⠻⠛⠈⠛⠛⠋⠛⠛⠛⠛⠛

⣏⣿⣌⣥⣬⣭⢭⡻⣫⢭⡊⣭⣭⣩⣭⡭⠈⣿⣿⣿⣥⣩⣭⡍⢫⣭⠫⣭⡤⡏⢠⣤⢀⣤⣤⠠⣤⠄⣤⢠⡌⣭⡟⢻⡟⢻⡿⢿⢻⡿⠟⣿⣿⠛⣿⡟⢫⣭⡍⣤⢤⢠⣤⢤⣄⣤⢠⡤⢤⣤⣤⠀⠀⠀⠀⠀⠀⠀

⠗⢯⢺⣟⣇⣿⢺⡅⣿⢸⡇⣿⣿⡇⣿⠀⢠⣿⣿⣧⡟⣿⣿⡇⣿⣹⣼⢸⢠⠀⣿⣹⣸⡇⣙⠀⣿⠀⣿⢸⡇⣟⣿⢸⡇⢸⡇⠘⣿⠀⠀⣿⣿⢰⣏⣧⢸⡷⠃⣿⠾⢸⡷⢸⡿⣿⢸⡷⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀

⣫⡿⠺⣿⢟⣿⣞⣷⣿⣾⣷⢛⢛⣅⣛⡀⠀⣽⣿⣿⠃⣛⣛⣃⣛⣝⣻⣘⣸⡇⠛⠙⠋⠓⠛⠀⠛⠀⠙⠚⠙⠋⠛⠘⠓⠘⠓⠀⠛⠀⠀⠛⠛⠘⠋⠛⠘⠃⠀⠛⠀⠘⠓⠚⠃⠛⠘⠓⠚⠓⠛⠐⠐⠐⠀⠀⠀⠀

⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣿⣿⣶⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⠀⠀⠀⢠⣄⡀⣀⢀⠤⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⣀⣀⢀⡀⠀⠀⠀⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣤⡉⢹⣿⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⣾⣷⣽⣿⡶⣾⣦⣀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠀⠀⠠⢈⠜⢠⠐⠔⠅⢀⠆⠂⠄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠐⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣶⡿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠛⠛⢿⣿⣿⣿⡿⠿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠂⠀⡀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⠇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠟⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⣀⣠⣰⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠿⠃⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣷⣤⣤⣤⣄⣠⣄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⢿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡁⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⣰⣿⣿⣿⣿⣿⣿⠿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠛⣃⣀⣫⣶⣶⣤⣦⣴⣶⣶⣶⣶⣦⣤⣤⣠⠔⣴⣿⣿⣿⡿⢉⣍⣉⣉⣉⣙⡍⣩⣾⣿⣿⣿⣿⡿⠋⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣾⣟⢿⣿⣿⣿⣿⣿⣿⣷⢰⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶

⣿⣿⣿⣿⣿⣿⣿⢻⡛⣿⡟⡿⣻⣟⢛⡟⣻⢸⣿⣿⣿⡟⢠⣾⣿⣻⢻⡟⣯⣾⣿⣿⣿⣿⣿⣇⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣷⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⡻⣻⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⢸⡇⣿⢜⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⢱⣷⣿⣷⣿⢾⡇⣿⡍⣿⣾⣿⠟⢿⣏⣾⣿⣿⣿⣿⣿⣧⣿⣿⢼⣿⣿⡝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡏⣿⣾⣷⣿⣭⢸⣿⣿⣿⣿⣿⣿⣿⣿

⢙⢿⢻⣿⣿⣭⣿⣸⣃⣟⣿⣯⣻⣟⣸⣏⢿⣿⣿⣿⡟⣸⣿⣻⣻⣻⣸⣇⠻⣖⠙⠇⠙⠘⠷⠛⠙⠛⠿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣟⡇⠻⠘⠃⠛⠹⠋⠻⠛⠘⠛⠛⠉⠛⠛⠛⠛⠛

⣯⣿⣌⣭⣽⣭⢬⡳⣫⢭⡋⣭⣭⡩⣬⡭⠈⣿⣿⣿⣥⣩⣭⡍⢫⣭⠫⣭⡤⡏⢠⣤⢀⣤⣤⠠⣤⠄⣤⢠⡄⣭⡝⢻⡟⢻⡿⢿⢿⡿⠟⣿⣿⠿⣿⡟⢻⣿⡍⣥⢤⢠⣤⢤⣄⣤⢠⡤⢤⣤⣤⠀⠀⠀⠀⠀⠀⠀

⣟⣿⢸⣟⣇⣿⢺⡅⣿⢸⡇⣿⣿⡇⣿⠀⢠⣿⣿⣧⡟⣿⣿⡇⣿⣸⣼⢸⢰⠀⣿⣹⣸⡇⣙⠀⣿⠀⣿⢸⡇⣟⣿⢸⡇⢸⡇⠘⣿⠀⠀⣿⣿⢰⣇⣧⢸⡷⠃⣿⠾⢸⡷⢸⡿⣿⢸⡷⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀

⣽⠿⠺⣿⢟⣿⣞⣷⣿⣾⣷⣛⣛⡥⣛⠀⠀⣽⣻⡿⠃⣛⣛⣃⣛⣝⣻⣘⣸⡆⠛⠙⠋⠓⠛⠀⠛⠀⠙⠚⠙⠋⠛⠘⠓⠘⠓⠀⠛⠀⠀⠛⠛⠘⠋⠛⠘⠃⠀⠛⠀⠘⠓⠚⠃⠛⠘⠓⠚⠛⠛⠐⠐⠐⠀⠀⠀⠀

⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⣿⣷⣶⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⠀⠀⠀⠠⢄⡀⠀⠀⠠⣀⢀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⡀⢀⣀⡀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣤⡉⢹⣿⠀⠀⠀⠁⠂⠀⠄⠀⠀⠂⡠⠀⠀⠁⠀⠀⠀⠀⠀⠀⢠⡶⣾⣷⣽⣿⡶⣾⣦⣀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠀⠀⠨⠨⠐⠄⠀⠠⠀⠆⠀⠪⠂⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣶⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠘⠛⠛⠛⠛⠛⠿⠿⢿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠂⠈⠈⠀⠀⠀⠀⠀⠀⠀

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢶⣤⣤⣤⣼⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⠇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠟⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⢀⣀⣰⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠿⠂⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣷⣤⣤⣤⣄⣠⣄⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⢟⣾⣿⣿⣿⣿⣿⣿⣿⣷⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⣾⣿⣿⣿⣿⣿⠿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠛⣁⣀⣯⣶⣶⣦⣤⣴⣶⣶⣴⣶⣤⣤⣤⣢⠆⣴⣿⣿⣿⡿⢉⣍⣩⣉⣉⣩⣍⣭⡅⠰⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣝⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢰⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶

⣿⣿⣿⣿⣿⣿⣿⢻⡛⣿⡟⡿⣻⣟⢳⡍⣻⢸⣿⣿⣿⡟⢀⣾⣟⣻⢻⡟⣿⣟⣿⢡⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⡿⣻⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⢸⡇⣿⢜⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⢡⣷⣿⣷⣿⢾⡇⣿⢄⢸⡾⣿⡿⣷⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⢼⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡟⣿⣾⣿⣿⣭⢸⣿⣿⣿⣿⣿⣿⣿⣿

⢙⢿⣻⡿⣿⣿⣿⣸⣃⡟⣿⣯⣻⣟⣸⢏⢿⣿⣿⣿⡟⣼⣿⣻⣻⣻⣸⣇⠻⣞⠘⠇⠙⠛⠿⠛⠙⠛⠿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣇⠻⠘⠃⠛⠙⠋⠻⠛⠘⠛⠋⠙⠛⠛⠛⠛⠛

⣯⣿⢈⣬⣼⣭⢬⡻⣫⢭⡋⣥⣭⡩⣬⡥⠈⣿⣿⣿⣥⣩⣭⡍⢫⣭⠫⣭⡤⡏⢠⣤⢀⣤⣤⠠⣤⠄⣤⢠⡌⣭⡝⢻⡟⢻⡿⢿⢿⡿⠟⣿⣿⠿⣿⡟⢻⣿⡏⣭⢤⢠⣤⢤⣄⣤⢠⡤⢤⣤⣤⠀⠀⠀⠀⠀⠀⠀

⡳⢫⢸⣟⣇⣿⢺⡅⣿⢸⡇⣿⣿⡇⣿⠀⢠⣿⣿⣧⡟⣿⣿⡇⣿⣸⣼⢸⢰⡀⣿⣹⣸⡇⣙⠀⣿⠀⣿⢸⡇⣟⣿⢸⡇⢸⡇⠘⣿⠀⠀⣿⣿⢠⣇⣧⢸⡷⠇⣿⠾⢸⡷⢸⡿⣿⢸⡷⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀

⣪⠷⠾⣿⢟⣿⣞⣷⢿⣾⡷⣛⢛⡥⣛⠀⠀⣽⣿⡿⠃⣛⣛⣃⣛⣝⣻⣘⣸⡇⠛⠙⠋⠓⠛⠀⠛⠀⠙⠚⠙⠋⠛⠘⠓⠘⠓⠀⠛⠀⠀⠛⠛⠘⠋⠛⠘⠃⠀⠛⠀⠘⠓⠚⠃⠛⠘⠓⠚⠛⠛⠐⠐⠐⠀⠀⠀⠀

⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣿⣷⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣻⣿⣿⣿⣿⡿⣿⣿⣿⣿⡿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⠀⠀⠀⢠⢄⡀⡀⢄⠄⣀⢀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⠀⠀⠀⠀⡀⡀⣀⣀⡀⠀⠀⠀⣠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣤⡉⢹⣿⠀⠀⠀⠀⠐⠀⠀⠉⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⣾⣷⣽⣿⣶⣾⣦⣀⠀⠀⠀⠀⠀⠀⠀⣰⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠤⠨⡌⠀⡀⠀⠀⠀⠈⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣶⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠈⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠚⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⠇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠟⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⡽⣯⣿⣿⣿⣿⣿⣿⣿⣿⢟⣿⣿⣶⣶⣶⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠿⠃⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣷⣤⣤⣤⣄⣠⣄⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⢟⣾⣿⣿⣿⣿⣿⣿⣿⣷⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⢿⡃⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣷⣔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠛⢃⣀⣯⣶⣶⣴⣦⣴⣶⣶⣶⣶⣤⣤⣤⣦⠖⣴⣿⣿⣿⡿⢉⣍⣉⣉⣉⣭⣍⣭⡅⢀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣴⣶

⣿⣿⣿⣿⣿⣿⣿⢻⡛⣿⡟⡿⣻⣟⢻⡟⣾⣸⣿⣿⣿⡟⢀⣾⣟⣻⢻⡟⣿⣟⣿⢠⣜⢚⣴⣍⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡹⣻⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⢸⡇⣿⢜⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⢡⣷⣿⣷⣿⢾⡇⣿⢄⢸⡾⡴⡜⢷⣍⣾⣿⣿⣿⣿⣿⣧⣿⣿⢼⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣟⢻⡏⣿⣾⣷⣿⣽⢸⣿⣿⣿⣿⣿⣿⣿⣿

⢹⣿⣻⣿⣿⣿⣿⣸⣃⣟⣿⣯⣻⢟⡸⣏⢿⣿⣿⣿⡟⣸⣿⣻⣻⣻⣸⣇⠻⣞⠘⠇⠊⠘⠷⠛⠙⠛⠿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣇⠻⠘⠃⠛⠹⠋⠻⠛⠘⠛⠋⠛⠛⠛⠛⠛⠛

⡯⣷⣌⣭⣅⣭⢭⡻⣫⢭⡉⣭⣭⡩⣬⡥⠈⣿⣿⣿⣥⣩⣭⡍⢫⣭⠫⣭⡤⡏⢠⣤⢀⣤⣤⠠⣤⠄⣤⢠⡌⣭⡝⢻⡟⢻⡿⢿⢻⡿⠟⣿⣿⠿⣿⡿⢻⣿⡟⣭⢥⢠⣤⢤⣄⣤⢠⡤⢤⣤⣤⠀⠀⠀⠀⠀⠀⠀

⡷⢺⢸⣟⣇⣿⢺⡅⣿⢸⡇⣿⣿⡇⣿⠀⢠⣿⣿⣧⡟⣿⣿⡇⣿⣹⣼⢸⢰⡀⣿⣹⣸⡇⣙⠀⣿⠀⣿⢸⡇⣟⣿⢸⡇⢸⡇⠘⣿⠀⠀⣿⣿⢠⣇⣧⢸⡷⠃⣿⠾⢸⡷⢸⡿⣿⢸⡷⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀

⣿⡿⡺⣿⠛⣿⣞⣷⣿⣾⡷⡛⣛⣥⣛⠀⠀⣽⣿⡿⠃⣛⣛⣃⣛⣝⣫⣘⣸⡇⠛⠙⠋⠓⠛⠀⠛⠀⠙⠚⠙⠋⠛⠘⠓⠘⠓⠀⠛⠀⠀⠛⠛⠘⠋⠛⠘⠃⠀⠛⠀⠘⠓⠚⠃⠛⠘⠓⠚⠛⠛⠐⠐⠐⠀⠀⠀⠀

⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣾⣶⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⡿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⠀⠀⠀⢀⠤⡄⢀⢄⠤⣀⢄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⢀⢀⣀⡀⠀⠀⡀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣤⡉⢹⣿⠀⠀⠀⠂⠀⠄⠈⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⣾⣷⣽⣿⣶⣾⣦⣀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⠠⢨⡔⠄⠐⠪⠁⠀⠀⠀⠄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣶⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠈⠛⠛⣿⣟⣻⣿⣿⣿⣯⣿⣿⣿⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣶⡆⢸⣿⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⠇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠿⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣿⣿⣿⣿⣿⣿⣿⣿⣵⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⢀⣰⣶⣿⣟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠿⠂⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣷⣤⣤⣤⣤⣠⣄⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⢯⣾⣿⣿⣿⣿⣿⣿⣿⣷⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⠐⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠛⢃⣀⣫⣶⣶⣶⣶⣶⣶⣶⣶⣶⣤⡤⣤⢢⠆⣴⣿⣿⣿⡿⢉⣍⣉⣉⣉⣝⣍⣩⡁⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶

⣿⣿⣿⣿⣿⣿⣿⢻⡛⣿⡟⡿⣻⣟⢻⡗⣺⢸⣿⣿⣿⡟⢠⣿⣿⣻⢻⡟⣿⣟⣿⢡⣜⢒⣬⣍⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡻⣻⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⢸⡇⣿⢜⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⢡⣶⣿⣿⣿⢾⡇⣿⢄⢸⡾⡴⠜⢷⣍⣾⣿⣿⣿⣿⣿⣯⣿⣿⢼⣿⣿⣕⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣟⣿⣏⢹⡇⣿⣾⣷⣿⣭⢸⣿⣿⣿⣿⣿⣿⣿⣿

⢙⣽⣻⡿⣿⣿⢿⣸⡃⣟⣿⣏⣻⣟⣘⣏⢿⣿⣿⣿⡟⣸⣿⣻⣻⣻⣸⣇⠻⣞⠘⠇⠈⠙⠷⠛⠙⠛⠿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣇⠻⠘⠃⠛⠹⠋⠻⠛⠘⠛⠋⠙⠛⠛⠛⠛⠛

⢯⣗⢈⣭⣴⣭⢭⡻⣫⢭⡋⣬⣭⣩⣭⡥⠈⣿⣿⣿⣥⣩⣭⡝⢫⣭⠫⣭⡤⡏⢠⣤⢀⣤⣤⠠⣤⠄⣤⢠⡌⣭⡟⢻⡿⢿⡿⢿⢿⡿⠟⣿⣿⠿⣿⡟⢻⣿⡟⣭⢥⢠⣤⢤⣄⣤⢠⡤⢤⣤⣤⠀⠀⠀⠀⠀⠀⠀

⠿⢾⢸⣟⣇⣿⢺⡅⣿⢸⡇⣿⣿⡇⣿⠀⢠⣿⣿⣧⡟⣿⣿⡇⣿⣹⣼⢸⢠⠀⣿⣹⣸⡇⣙⠀⣿⠀⣿⢸⡇⣟⣿⢸⡇⢸⡇⠘⣿⠀⠀⣿⣿⢰⣇⣧⢸⡷⠃⣿⠾⢸⡷⢸⡿⣿⢸⡷⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀

⣯⡷⡾⣿⠟⣿⣞⣷⠿⢾⣷⣛⢛⣥⣛⠀⠀⣽⣿⣿⠃⣛⣛⣃⣛⣝⣻⣘⣸⡆⠛⠙⠋⠓⠛⠀⠛⠀⠙⠚⠙⠋⠛⠘⠓⠘⠓⠀⠛⠀⠀⠛⠛⠘⠋⠛⠘⠃⠀⠛⠀⠘⠓⠚⠃⠛⠘⠓⠚⠛⠛⠐⠐⠐⠀⠀⠀⠀

⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣶⣶⣶⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢻⣟⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⢿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⠀⠀⢀⢀⢠⡄⣀⣄⠠⣀⢄⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠃⠀⠀⠀⠀⣀⠀⣀⡀⠀⠀⠀⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣤⡍⢹⣿⢀⠀⠀⠀⠐⠁⠀⠁⠓⠐⠠⠂⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⣾⣷⣽⣿⣶⣾⣦⣀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠷⠀⠀⠢⠜⠔⠢⡑⠈⠓⠁⠂⠌⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠐⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣶⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠈⠉⢻⠛⠛⣿⣿⣿⣿⣯⣿⣿⣿⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣶⡆⢸⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠲⢿⣿⣿⣿⣷⣿⣿⣿⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⠇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠟⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣿⣿⣿⣿⣿⣿⣿⣯⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⢞⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣷⣶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠿⠃⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣷⣤⣤⣤⣤⣠⣄⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⢫⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⠰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠛⢃⣀⣫⣶⣶⣶⣶⣶⣶⣶⣶⣶⣤⣤⣤⣠⠄⣴⣿⣿⣿⡿⢉⣭⣍⣉⣉⣛⣍⣭⡅⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣮⣝⣿⣿⣿⣿⣿⣿⣿⡴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶

⣿⣿⣿⣿⣿⣿⣿⢻⡛⣿⡟⡿⣻⣟⢿⡟⣾⢸⣿⣿⣿⡟⢠⣿⣿⣻⢻⡟⣿⣟⣿⢡⣜⢗⣮⣝⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡇⣻⢻⡟⣿⢻⡿⣻⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⢸⡇⣿⢜⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⢡⣿⣿⣿⣿⢾⡇⣿⢄⢸⡾⡼⡜⢷⣍⣾⣿⣿⣿⣿⣿⣯⣿⣿⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣷⣷⣟⢸⡇⣿⣾⣷⣿⣽⢸⣿⣿⣿⣿⣿⣿⣿⣿

⢉⣽⣻⣻⢾⣿⣿⣸⣃⢟⣯⣯⣻⡟⣜⣏⢿⣿⣿⣿⡟⣸⣿⣻⣻⣻⣸⣇⠻⣞⠘⠇⠊⠙⠷⠛⠙⠿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠻⠘⠃⠛⠹⠋⠻⠛⠘⠛⠋⠙⠛⠛⠛⠛⠛

⢏⣟⢈⣤⣼⣥⢬⡻⣪⢭⡋⣭⣥⡩⣭⡭⠈⣿⣿⣿⣥⣭⣭⡍⢫⣭⠫⣭⡤⡏⢠⣤⢀⣤⣤⠠⣤⠄⣤⢨⡍⣿⡟⢻⡿⢿⡿⢿⢿⡿⠟⣿⣿⠿⣿⡟⢻⣯⡍⣥⢤⢠⣤⢤⣄⣤⢠⡤⢤⣤⣤⠀⠀⠀⠀⠀⠀⠀

⠷⣾⢺⣟⣇⣿⢺⡅⣿⢸⡇⣿⣿⡇⣿⠀⢠⣿⣿⣧⡟⣿⣿⡇⣿⣹⣼⢸⢠⡀⣿⣹⣸⡇⣙⠀⣿⠀⣿⢸⡇⣟⣿⢸⡇⢸⡇⠘⣿⠀⠀⣿⣿⢰⣇⣧⢸⡷⠃⣿⠾⢸⡷⢸⡿⣿⢸⡷⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀

⢿⡷⡺⣿⠟⣿⣞⡷⡿⣾⡷⣛⣛⣥⣛⠀⠀⣽⣿⣿⠃⣛⣛⣃⣛⣝⣻⣘⣸⡇⠛⠙⠋⠓⠛⠀⠛⠀⠙⠚⠙⠋⠛⠘⠓⠘⠓⠀⠛⠀⠀⠛⠛⠘⠋⠛⠘⠃⠀⠛⠀⠘⠓⠚⠃⠛⠘⠓⠚⠛⠛⠐⠐⠐⠀⠀⠀⠀

⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⣶⣶⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⡿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⢀⠀⠀⣀⣤⡄⣀⡀⠠⣠⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠀⠀⠀⠀⣀⡀⣄⣀⡀⢄⢀⠄⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣬⡉⢹⣿⠠⠀⠀⠈⠑⠐⠖⠙⠀⠴⠁⠃⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⣾⣷⣽⣷⣶⣶⣦⡀⠀⠀⠀⠀⠀⠀⣠⣶⣾⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠡⢬⡗⡴⡪⢪⢄⠄⠪⠘⠎⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣶⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠂⠓⠁⠀⠘⠂⠀⠀⠀⠀⠑⠀⠁⠑⠀⠀⠀⠀⠀⠀

⣶⡆⢸⣿⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⠀⠀⠀⠀⠀⠀⠀⠈⠲⢿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠂⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠁⠁⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀

⣿⠇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠿⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⢀⣤⣬⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⣿⣿⡻⣿⣿⣷⣿⣿⣿⡿⣿⣿⣿⣶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠿⠃⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣶⣤⣤⣤⣤⣠⣄⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣟⣽⣿⣿⣿⣿⣿⣿⣿⢷⣾⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡃⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠟⣃⣀⣯⣶⣶⣤⣤⣴⣶⣶⣶⣦⣤⣤⣤⣦⠖⣴⣿⣿⣿⡿⢉⣭⣍⣙⣛⣛⣫⣭⡀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢏⣥⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶

⣿⣿⣿⣿⣿⣿⣿⢻⡛⣿⡟⡿⣻⣟⢿⡟⣿⢸⣿⣿⣿⡟⢠⣿⣿⣻⢻⡟⣿⣟⣿⢣⣴⢎⣽⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡝⡟⡟⣻⢻⡟⣿⢿⡿⣻⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⢸⡇⣿⢼⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⢡⣿⣿⣿⣿⢾⡇⣿⢄⢸⡾⡼⡘⢷⣭⣿⣿⣿⣧⣿⣿⣿⣟⣿⠼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣷⠰⣷⣟⢸⡇⣿⣾⣷⣿⣽⢸⣿⣿⣿⣿⣿⣿⣿⣿

⢙⣿⣻⣿⣿⣿⣿⣸⣃⣟⣿⣯⣻⣟⣸⣏⢿⣿⣿⣿⡟⣸⣿⣻⣻⣻⣸⣇⠻⣞⠘⠇⠊⠙⠷⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠇⠻⠘⠃⠛⠹⠋⠻⠛⠘⠛⠛⠛⠛⠛⠛⠛⠛

⣯⣿⢈⣭⡥⣤⢭⡻⣫⢭⡋⣭⣭⣩⣭⡥⠈⣿⣿⣿⣥⣭⣭⡝⢫⣭⠫⣭⡤⡏⢠⣤⢀⣤⣤⠠⣤⠄⣭⢻⡟⣿⡿⢿⣿⣿⣿⣿⣿⣿⡟⣿⣿⠿⣿⡟⢫⣭⡄⣤⢤⢠⣤⢤⣄⣤⢠⣤⢤⣤⣤⠀⠀⠀⠀⠀⠀⠀

⡿⣿⢺⣟⣇⣿⢺⡇⣿⢸⡇⣿⣿⣿⣿⠀⢠⣿⣿⣧⡟⣿⣿⡇⣿⣸⣼⢸⢰⡀⣿⣹⣸⡇⣙⠀⣿⠀⣿⢸⡇⣟⣿⢸⡇⢸⡇⠘⣿⠀⠀⣿⣿⢰⣇⣧⢸⡷⠇⣿⠾⢸⡷⢸⡿⣿⢸⡷⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀

⣿⣷⣾⣿⢟⣿⣞⣷⣿⣾⣷⣟⣛⣽⣛⠀⠀⣽⣿⣿⢃⣛⣛⣃⣛⣝⣻⣘⣸⡇⠛⠙⠃⠓⠛⠀⠛⠀⠙⠚⠙⠋⠛⠘⠓⠘⠓⠀⠛⠀⠀⠛⠛⠘⠋⠛⠘⠃⠀⠛⠀⠘⠓⠚⠃⠛⠘⠓⠚⠛⠛⠐⠐⠐⠀⠀⠀⠀

⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣶⣿⣶⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢾⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⢀⠄⠀⢀⢤⡄⣀⣄⢤⣤⢄⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⢀⢀⡀⣀⣀⣀⣀⡀⠀⠀⡄⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣬⡍⢹⣿⠠⠄⠀⠀⢀⠨⠶⠧⠿⠹⠁⠃⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣾⣷⣽⣷⣶⣶⣦⡀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠀⠀⢕⠐⠪⡣⣕⣪⠵⠝⢡⠐⠩⠷⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠐⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣷⣿⣿⣿⣿⠀⠀⠀⠀⠀⠘⢻⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠈⠁⠐⠀⠀⠀⠐⠀⠀⠚⡕⠉⠒⠊⠾⠂⠀⠀⠀⠀⠀

⣶⡆⢸⣿⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⠀⠀⠀⠀⠀⠀⠈⠚⠿⣾⣿⣿⣿⣿⣽⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠂⠁⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀

⣿⠇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠿⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⢀⣠⣸⣿⣿⣿⣿⣿⣿⣯⣶⡄⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣲⢧⢿⣿⣿⣦⣿⣿⣿⡿⣿⣿⣷⣶⣦⣤⡀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠿⠃⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣷⣤⣤⣤⣄⣠⣄⠀⠀⠀⠀⠀⢀⣶⣿⣿⣿⡷⣴⣿⣿⣿⣿⣿⣯⣽⣷⣾⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣟⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠟⣃⣀⣫⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣤⣄⡄⣴⣿⣿⣿⡿⢉⣭⣭⣩⣩⣿⣯⣭⡅⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣡⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶

⣿⣿⣿⣿⣿⣿⣿⢻⡛⣿⡟⡿⣻⣟⢻⡟⣿⢸⣿⣿⣿⡟⢠⣿⣿⣿⢻⡟⣿⣟⣿⢡⣴⣌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡝⡟⡟⣻⢻⡟⣿⢿⡿⣻⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⢸⡇⣿⢼⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⢡⣿⣿⣿⣿⢾⡇⣿⢌⢸⡾⣼⠜⢷⣭⣿⣿⣿⣟⣿⣿⣯⣿⣿⢼⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣻⣿⣷⠀⣷⣟⢹⡇⣿⣾⣿⣿⣽⢸⣿⣿⣿⣿⣿⣿⣿⣿

⢹⣿⣻⣛⢿⣿⣿⣸⣃⣟⣿⣯⣻⣟⣼⣯⢿⣿⣿⣿⡟⢸⣿⣻⣻⣻⣺⣇⠿⣞⠘⠇⠋⠙⠷⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠇⠻⠸⠇⠛⠹⠋⠻⠻⠘⠛⠛⠛⠛⠛⠛⠛⠛

⣏⣽⣍⣬⡬⣬⢭⡿⣫⢭⡋⣭⣭⣩⣭⡥⠈⣿⣿⣿⣥⣩⣭⡝⢫⣭⠫⣭⡤⡏⢠⣤⢀⣤⣤⠠⣤⠌⣽⢻⡿⣿⡿⢿⣿⣿⣿⣿⣿⣿⡟⣿⣿⠿⣿⡟⢫⣭⡅⣤⢤⢠⣤⢤⣄⣤⢠⣤⢤⣤⣤⠀⠀⠀⠀⠀⠀⠀

⡿⣻⢺⣟⣇⣿⢺⡇⣿⢸⡇⣿⣿⡟⣿⠀⢠⣿⣿⣧⡟⣿⣿⡇⣿⣹⣼⢸⢰⡀⣿⣹⣸⡇⣙⠀⣿⠀⣿⢸⡇⣿⣿⢸⡇⢸⡇⠘⣿⠀⠀⣿⣿⢠⣇⣧⢸⡷⠇⣿⠾⢸⡷⢸⡿⣿⢸⡷⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣾⣿⢟⣿⣞⣷⣿⣾⣷⣟⣛⣝⣛⠀⠀⣽⣿⡿⠃⣛⣛⣃⣛⣝⣻⣘⣸⡇⠛⠙⠋⠓⠛⠀⠛⠀⠙⠚⠙⠋⠛⠘⠓⠘⠓⠀⠛⠀⠀⠛⠛⠘⠋⠛⠘⠃⠀⠛⠀⠘⠓⠚⠃⠛⠘⠓⠚⠛⠛⠐⠐⠐⠀⠀⠀⠀

⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣶⣶⣶⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⢀⠄⠀⢀⣤⡄⣀⣄⣤⣠⢤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⠀⠠⢀⣀⣀⣀⢀⣀⣄⡠⠀⠀⡄⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣬⡉⢹⣿⠀⠂⠀⠐⠗⠘⠿⠯⠟⠻⡣⠇⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣾⣷⣽⣷⣶⣾⣦⡀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣯⣽⣿⣿⣿⣿⣿⣿⠿⢀⠠⢭⣏⠪⠳⡕⡿⡿⣷⡲⠅⠚⠻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠐⠀⠀⠀⠐⠫⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣿⣯⣿⣿⣿⠀⠀⠀⠀⠀⠘⠛⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠈⠅⠘⠀⠀⠰⠃⠀⠘⡼⡷⠩⠐⠺⠾⠂⠀⠀⠀⠀⠀

⣶⡆⢸⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠰⢤⣤⣤⣤⣿⣯⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠁⠀⠀⠀⠀⠀⠂⡀⠀⠀⠀

⣿⠇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠿⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⢀⣠⣽⣿⣿⣿⣿⣿⣿⣿⣶⡄⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⢞

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣲⢷⠿⣿⣿⣷⣻⣿⣿⣿⣟⣿⣷⣶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠿⠃⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣷⣤⣤⣤⣄⣠⣄⠀⠀⠀⠀⠀⢀⣶⣿⣿⣿⡿⣷⣿⣿⣿⣿⣿⣷⣽⣟⣾⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⢠⣾⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣟⠿⢿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠟⣃⣀⣫⣶⣶⣶⣶⣶⣶⣶⣶⣶⣤⣤⣦⣤⡄⣴⣿⣿⣿⡿⢉⣭⣭⣉⣉⣿⣯⣭⡅⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶

⣿⣿⣿⣿⣿⣿⣿⢻⡛⣿⡟⡿⣻⣟⢿⡟⣿⢸⣿⣿⣿⡟⢠⣿⣿⣻⢻⡟⣿⣟⣿⢡⣴⣌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡜⡟⡟⣻⢻⡟⣿⢿⡿⣻⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⢸⡇⣿⢼⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⢡⣿⣿⣿⣿⢾⡇⣿⢄⢸⡾⣼⡞⢷⣍⣿⣿⣿⣇⣿⣿⣿⣿⣿⠼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣷⡀⣷⣟⢽⡇⣿⣾⣿⣿⣽⢸⣿⣿⣿⣿⣿⣿⣿⣿

⢹⣿⣻⣿⢿⣿⣿⣸⣃⣟⣿⣯⣻⣟⣼⣯⢿⣿⣿⣿⡟⣼⣿⣻⣻⣻⣸⣇⠿⣾⠘⠇⠛⠙⠷⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠇⠻⠸⠇⠛⠻⠋⠻⠛⠘⠛⠛⠛⠛⠛⠛⠛⠛

⡿⣿⢉⣤⣬⣭⢭⡻⣫⢭⡋⣭⣭⣩⣭⡭⠈⣿⣿⣿⣥⣭⣭⡝⢫⣭⠫⣭⡤⡏⢠⣤⢀⣤⣤⠠⣤⠌⣭⢻⡟⣿⡿⢿⣿⣿⣿⣿⣿⣿⡟⣿⣿⠿⣿⡟⢻⣭⡅⣤⢤⢠⣤⢤⣄⣤⢠⣤⢤⣤⣤⠀⠀⠀⠀⠀⠀⠀

⡿⣿⢺⣟⣇⣿⢺⡇⣿⢸⡇⣿⣿⡗⣿⠀⢠⣿⣿⣧⡟⣿⣿⡇⣿⣸⣼⢸⢰⡀⣿⣹⣸⡇⣙⠀⣿⠀⣿⢸⡇⣿⣿⢸⡇⢸⡇⠘⣿⠀⠀⣿⣿⢰⣇⣧⢸⡷⠇⣿⠾⢸⡷⢸⡿⣿⢸⡷⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀

⡿⡿⡾⣿⡟⣿⣞⣷⣿⣾⣷⣟⣛⣵⣛⠀⠀⣽⣿⡿⢃⣛⣛⣃⣛⣝⣻⣘⣸⡇⠛⠙⠋⠓⠛⠀⠛⠀⠙⠚⠙⠋⠛⠘⠓⠘⠓⠀⠛⠀⠀⠛⠛⠘⠋⠛⠘⠃⠀⠛⠀⠘⠓⠚⠃⠛⠘⠓⠚⠛⠛⠐⠐⠐⠀⠀⠀⠀

⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⣿⣿⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⠀⠀⠀⠀⠠⣀⣀⣄⠤⣀⠄⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⢀⠀⢀⢀⠀⠀⠀⠀⠀⠄⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣬⡉⢹⣿⠠⠀⠀⠀⠀⠀⠙⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣞⣷⣽⡗⢲⣾⣦⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⠿⠃⠀⠀⠀⠒⠀⠀⠂⠠⠠⠂⠈⠀⠈⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⠀⠘⢻⣿⣿⣿⣿⡿⣿⣿⣞⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠐⠂⠊⠀⠀⠀⠀⠀⠀

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⠀⠀⠀⠀⠀⠀⠘⠻⢿⣿⣿⣯⣾⣿⣧⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⠇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠿⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⢀⣨⣹⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣲⢟⡿⣿⣿⣷⣹⣿⣿⣿⣟⣿⣿⣶⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠿⠃⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣶⣤⣤⣤⣄⣠⣄⠀⠀⠀⠀⠀⣀⣬⣿⣿⣿⡿⣷⣿⣿⣿⣿⣿⣷⣽⣿⣼⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⣠⣾⣿⣿⣿⣿⣿⣽⣽⢿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠛⣃⣀⣫⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣤⣤⡆⣴⣿⣿⣿⡿⢉⣉⣭⣉⣙⣛⣉⣭⡅⠐⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣾⣿⣿⣿⣿⣿⣷⣴⣿⣿⣿⣿⣿⣿⣿⢠⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶

⣾⣿⣿⣿⣿⣿⣿⢻⡛⣿⡟⡿⣻⣟⢻⡟⣻⢸⣿⣿⣿⡟⢠⣿⣿⣻⢻⡟⣿⣟⣿⢠⣜⢆⣭⣟⣿⣿⣿⣿⣗⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠜⡟⣻⢻⡟⣿⢻⡿⣻⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⢸⡇⣿⢼⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⢡⣷⣿⣷⣿⢾⡇⣿⢄⢸⡾⣼⠜⢷⣅⣿⣿⣿⣧⣿⣾⣯⣿⣿⠼⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣻⣽⣿⡄⣷⣟⢸⡇⣿⣾⣿⣿⣽⢸⣿⣿⣿⣿⣿⣿⣿⣿

⢛⡻⡻⣿⢿⣿⣿⣸⣃⣟⣿⣯⣻⡟⣸⣏⢿⣿⣿⣿⡟⢸⣿⣻⣻⣻⣸⣇⠿⣞⠘⠇⠛⠘⠷⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠃⠻⠘⠃⠛⠹⠋⠻⠛⠘⠛⠛⠋⠛⠛⠛⠛⠛

⣷⣹⢍⣥⡼⣬⢬⡻⣫⢭⡋⣭⣭⡩⣬⡥⠈⣿⣿⣿⣥⣭⣭⡝⢫⣭⠫⣭⡤⡏⢠⣤⢀⣤⣤⠠⣤⠄⣬⢩⡟⣿⡿⢿⡿⢿⣿⢿⣿⣿⡟⣿⣿⠿⣿⡟⢻⣭⡅⣤⢤⢠⣤⢤⣄⣤⢠⣤⢤⣤⣤⠀⠀⠀⠀⠀⠀⠀

⡿⣟⢺⣟⣇⣿⢺⡅⣿⢸⡇⣿⣿⡇⣿⠀⢀⣿⣿⣧⡟⣿⣿⡇⣿⣸⣼⢸⢰⡀⣿⣹⣸⡇⣙⠀⣿⠀⣿⢸⡇⣟⣿⢸⡇⢸⡇⠘⣿⠀⠀⣿⣿⢠⣇⣧⢸⡷⠇⣿⠾⢸⡷⢸⡿⣿⢸⡷⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀

⢹⣿⣾⣿⣟⣿⣞⣷⣿⣾⢷⣟⢛⣥⣛⠀⠀⣽⣿⡿⢃⣛⣛⣃⣛⣝⣻⣘⣸⡇⠛⠙⠋⠓⠛⠀⠛⠀⠙⠚⠙⠋⠛⠘⠓⠘⠓⠀⠛⠀⠀⠛⠛⠘⠋⠛⠘⠃⠀⠛⠀⠘⠓⠚⠃⠛⠘⠓⠚⠛⠛⠐⠐⠐⠀⠀⠀⠀

⣿⣿⣿⣿⢀⠀⠀⠀⠤⣄⣀⣄⢤⣠⠄⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⠀⠀⠀⢀⢀⣀⠀⢀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣬⡍⢹⣿⠠⠀⠀⠀⠀⠀⠸⠂⠈⠀⠄⠊⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣾⣿⣟⣻⣶⣾⣦⠀⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⠿⠃⠀⢁⠌⠠⠂⢐⠠⠀⠰⠤⠀⠀⠀⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣿⡿⣿⣿⣿⠂⠀⠀⠀⠀⠈⠿⠿⠿⠿⠿⣿⣿⣿⡞⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⡂⠁⠀⠂⠚⠙⠂⠀⠀⠀⠀⠀

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠰⢦⣤⣤⣤⣼⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⠇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠟⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⢀⣠⣼⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⢟⡿⣿⣿⣷⣻⣿⣿⣿⣟⣿⣿⣶⣶⣦⣄⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡃⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⣠⣾⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠛⣁⣘⣯⣶⣶⣶⣶⣴⣶⣶⣶⣶⣦⣤⣦⣤⡄⣴⣿⣿⣿⡿⢉⣭⣍⣉⣉⣻⣏⣭⡄⠐⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣾⣿⣿⣿⣿⣿⣷⣼⣿⣿⣿⣿⣿⣿⣿⢠⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶

⣿⣿⣿⣿⣿⣿⣿⢻⡛⣿⡟⡿⣻⣟⢻⡗⣿⢸⣿⣿⣿⡟⢠⣿⣿⣻⢻⡟⣿⣟⣿⢡⣜⢆⣭⣛⣿⣿⣿⣿⣗⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠜⡟⣻⢻⡟⣿⢻⡻⣻⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⢸⡇⣿⢼⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⢱⣿⣿⣷⣿⢾⡇⣿⢄⢸⡾⣴⠜⢷⣭⣿⣿⣿⣧⣿⣾⣯⣿⣿⠼⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⡄⣷⣏⢸⡇⣿⣾⣷⣿⣭⢸⣿⣿⣿⣿⣿⣿⣿⣿

⢙⣿⣻⣛⢿⡿⣿⣸⣃⢟⣿⣯⣻⣟⣘⣏⢿⣿⣿⣿⡟⢸⣿⣻⣻⣻⣸⣇⠿⣾⠘⠇⠋⠘⠷⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠃⠻⠘⠃⠛⠹⠋⠻⠛⠘⠛⠋⠉⠛⠛⠛⠛⠛

⣾⡿⢌⣬⡬⣬⢬⡺⣫⢭⡋⣭⣭⣩⣬⡥⠈⣿⣿⣿⣥⣭⣭⡝⢫⣭⠫⣭⡤⡏⢠⣤⢀⣤⣤⠠⣤⠄⣬⢩⡟⣿⡿⢿⡿⢿⣿⢿⣿⣿⡟⣿⣿⠿⣿⡟⢻⣭⡅⣤⢤⢠⣤⢤⣄⣤⢠⣤⢤⣤⣤⠀⠀⠀⠀⠀⠀⠀

⡿⡽⢺⣟⣇⣿⢺⡅⣿⢸⡇⣿⣿⣷⣿⠀⢠⣿⣿⣧⡟⣿⣿⡇⣿⣸⣼⢸⢰⠀⣿⣹⣸⡇⣙⠀⣿⠀⣿⢸⡇⣿⣿⢸⡇⢸⡇⠘⣿⠀⠀⣿⣿⢰⣇⣧⢸⡷⠇⣿⠾⢸⡷⢸⡿⣿⢸⡷⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀

⣙⣿⣾⣿⣟⣿⣞⣷⣿⣾⣷⣛⣛⣥⣛⠀⠀⣽⣻⡿⢃⣛⣛⣃⣛⣝⣻⣘⣸⡇⠛⠙⠋⠓⠛⠀⠛⠀⠙⠚⠙⠋⠛⠘⠓⠘⠓⠀⠛⠀⠀⠛⠛⠘⠋⠛⠘⠃⠀⠛⠀⠘⠓⠚⠃⠛⠘⠓⠚⠛⠛⠐⠐⠐⠀⠀⠀⠀

⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣾⣷⣶⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⢿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⢀⠀⠀⠀⢤⡀⣀⠄⢤⢀⠄⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡁⠀⠀⣀⢀⢀⢀⣀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣬⡉⢹⣿⠀⠀⠀⠀⠀⠠⠸⠉⠂⠉⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⢾⣧⣿⣷⣶⣾⣦⣀⠀⠀⠀⠀⠀⠀⢠⣶⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⡿⠗⡀⠀⠈⠠⠀⢄⠖⡔⠤⠠⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠐⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣶⣿⣿⣿⣿⣷⣿⣿⠆⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⠿⢿⣿⢻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠉⠐⠐⠀⠀⠀⣀⠐⠁⠐⠈⠈⠠⠀⠀⠀⠀⠀

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠐⠶⣤⣤⣤⣴⢿⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⠇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠟⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⣬⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣶⣿⣿⡽⣿⣿⣿⡽⣿⣿⣿⣿⣿⣿⣷⣶⣦⣄⡀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠿⠃⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣶⣤⣤⣤⣄⣠⣄⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣪⣾⣿⣿⣿⣿⣿⣽⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡃⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠛⣁⣀⣫⣶⣶⣶⣶⣶⣶⣶⣶⣶⣤⣤⣤⣤⡆⣴⣿⣿⣿⡿⢉⣭⣩⣉⣙⣿⣏⣭⡅⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣾⣍⣿⣿⣿⣿⣿⣿⣿⠐⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶

⣿⣿⣿⣿⣿⣿⣿⢻⡛⣿⡟⡿⣻⣟⢻⡟⣻⢸⣿⣿⣿⡟⢠⣿⣿⣻⢻⡟⣿⣟⣿⢡⣜⢗⣭⣝⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡜⣻⢻⡟⣿⢻⡿⣻⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⢸⡇⣿⢼⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⢡⣿⣿⣷⣿⢾⡇⣿⢄⢸⡾⣴⠞⢷⣍⣾⣿⣿⣧⣿⣿⣧⣿⣿⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣇⣷⣟⢸⡇⣿⣾⣷⣿⣭⢸⣿⣿⣿⣿⣿⣿⣿⣿

⢹⣿⣻⣟⢿⣿⣿⣸⣃⣟⣿⣯⣻⣟⣸⣏⢿⣿⣿⣿⡟⢸⣿⣻⣻⣻⣸⣇⠿⣞⠘⠇⠛⠚⠷⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠻⠸⠇⠛⠹⠋⠻⠛⠘⠛⠛⠙⠛⠛⠛⠛⠛

⣿⣿⣍⣭⡜⣭⢭⡻⣫⢭⡋⣭⣭⡩⣭⡥⠈⣿⣿⣿⣥⣩⣭⡝⢫⣭⠫⣭⡤⡏⢠⣤⢀⣤⣤⠠⣤⠄⣤⢩⡝⣿⡿⢿⡿⢿⡿⢿⢿⡿⠟⣿⣿⠿⣿⡟⢻⣯⡍⣥⢤⢠⣤⢤⣄⣤⢠⣤⢤⣤⣤⠀⠀⠀⠀⠀⠀⠀

⣿⣟⢺⣟⣇⣿⢺⡅⣿⢸⡇⣿⣿⡗⣿⠀⢠⣿⣿⣧⡟⣿⣿⡇⣿⣹⣼⢼⢸⠀⣿⣹⣸⡇⣙⠀⣿⠀⣿⢸⡇⣿⣿⢸⡇⢸⡇⠘⣿⠀⠀⣿⣿⢠⣇⣧⢸⡷⠃⣿⠾⢸⡷⢸⡿⣿⢸⡷⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣾⣿⣿⣿⣞⣷⣿⣾⣷⣟⣛⣥⡛⠀⠀⣽⣿⡿⢃⣛⣛⣃⣛⣝⣻⣘⣸⡇⠛⠙⠋⠓⠛⠀⠛⠀⠙⠚⠙⠋⠛⠘⠓⠘⠓⠀⠛⠀⠀⠛⠛⠘⠋⠛⠘⠃⠀⠛⠀⠘⠓⠚⠃⠛⠘⠓⠚⠛⠛⠐⠐⠐⠀⠀⠀⠀

⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣿⣶⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⢀⠀⠀⠀⠤⠀⣀⢄⠤⣠⠄⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣬⡉⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣾⣧⣿⣷⣶⣾⣦⣀⠀⠀⠀⠀⠀⠀⠀⣰⣶⣿⣿⣿⣯⣽⣿⣿⣿⣿⣿⡿⠇⠀⠀⠀⠀⠄⠀⠂⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣯⣽⣿⣿⣿⣿⣹⣿⣿⠂⠀⠀⠀⠀⠀⠈⠛⠛⠛⠛⠛⠛⠿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠐⠀⠀⠀⠀⠀⠀⠀

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢶⣤⣤⣤⣼⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⠇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠟⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣽⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⡿⡽⣫⣿⣿⣿⣿⣿⣿⣿⣿⢟⣿⣿⣶⣶⣶⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠿⠃⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣶⣤⣤⣤⣄⣠⣄⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣟⣾⣿⣿⣿⣿⣿⣿⣿⣷⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡃⠨⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠛⣃⣀⣫⣶⣶⣶⣶⣴⣶⣶⣶⣶⣤⣤⣤⣤⠆⣴⣿⣿⣿⡿⢉⣭⣭⣉⣉⣿⣫⣭⡁⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⢶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶

⣿⣿⣿⣿⣿⣿⣿⢻⡛⣿⡟⡿⣻⣟⢻⡟⣻⢸⣿⣿⣿⡟⢐⣿⣿⣻⢻⡟⣿⣟⣿⢡⡘⢛⣮⣍⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡸⣻⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⢸⡇⣿⠜⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⢡⣷⣿⣷⣿⢾⡇⣿⢄⢸⡾⣔⠜⢷⣍⣾⣿⣿⣿⣿⣿⣯⣿⣿⢼⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣟⢻⡏⣿⣾⣷⣿⣭⢸⣿⣿⣿⣿⣿⣿⣿⣿

⢹⣽⣻⣟⢿⣽⣿⣸⣃⢟⣿⣧⢻⣟⡘⢏⢿⣿⣿⣿⡟⣸⣿⣻⣻⣻⣸⣇⠿⣞⠘⠇⠊⠘⠷⠛⠙⠛⠿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣇⠻⠘⠃⠛⠻⠋⠻⠛⠈⠛⠋⠉⠛⠛⠛⠛⠛

⣾⣟⣌⣭⡬⣤⢭⡻⣫⢭⡋⣥⣬⡩⣭⡥⠈⣿⣿⡿⣥⣩⣭⡝⢫⣭⠫⣭⡤⡏⢠⣤⢀⣤⣤⠠⣤⠄⣤⢠⡌⣭⡝⢻⡟⢻⡿⢿⢿⡿⠟⣿⣿⠿⣿⡿⢿⣿⡟⣯⢥⢠⣤⢤⣄⣤⢠⡤⢤⣤⣤⠀⠀⠀⠀⠀⠀⠀

⣿⣿⢸⣟⣇⣿⢺⡅⣿⢸⡇⣿⣿⡇⣿⠀⢠⣿⣿⣧⡟⣿⣿⡇⣿⣸⣼⢸⢠⠀⣿⣹⣸⡇⣉⠀⣿⠀⣿⢸⡇⣟⣿⢸⡇⢸⡇⠘⣿⠀⠀⣿⣿⢠⣇⣧⢸⡷⠃⣿⠾⢸⡷⢸⡿⣿⢸⡷⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀

⣿⣿⡺⣿⣟⣿⣞⣷⣿⣾⣷⣛⣛⣡⣛⠀⠀⣽⣻⡿⠃⣛⣛⣃⣛⣝⣻⣘⣸⡄⠛⠙⠋⠓⠛⠀⠛⠀⠙⠚⠙⠋⠛⠘⠓⠘⠓⠀⠛⠀⠀⠛⠛⠘⠋⠛⠘⠃⠀⠛⠀⠘⠓⠚⠃⠛⠘⠓⠚⠛⠛⠐⠐⠐⠀⠀⠀⠀

⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⠀⠀⠀⢀⡤⣄⣀⢀⢤⣠⢄⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⠀⠀⢀⢀⡀⢀⣀⣀⠀⠀⠀⠀⡀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣬⡉⢹⣿⠠⠁⠀⠀⠀⠀⠊⠂⠙⠛⠄⡉⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣾⣿⣿⣿⣶⣾⣶⡀⠀⠀⠀⠀⠀⠀⠀⣰⣶⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⡿⠇⠀⠂⢨⠀⠔⠡⠁⠡⠅⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣅⣹⣿⣿⣿⣿⣹⣷⣷⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠛⠛⠛⠿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠁⠒⠚⠒⠠⠀⠀⠀⠀⠀

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢶⣤⣤⣤⣼⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⠇⢸⣿⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠿⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⣈⣤⣾⣿⣿⣿⣿⣿⣿⣿⣽⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣶⡆⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣶⣶⣶⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠿⠃⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣶⣤⣤⣤⣤⣠⣄⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣟⣾⣿⣿⣿⣿⣿⣿⣿⣷⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⡇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠙⣃⣀⣯⣶⣶⣶⣶⣴⣶⣶⣶⣶⣦⣤⣴⣤⡆⣴⣿⣿⣿⡿⢉⣭⣩⣉⣉⣿⣯⣭⡅⠀⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⢶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶

⣿⣿⣿⣿⣿⣿⣿⢻⡛⣿⡟⡿⣻⣟⢻⡟⣻⢸⣿⣿⣿⡟⢀⣿⣿⣻⢻⡟⣿⣟⣿⢡⣼⣟⣶⣍⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡸⣻⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⢸⡇⣿⢜⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⢡⣿⣿⣿⣿⢾⡇⣿⢄⢸⡾⣼⡞⢷⣍⣾⣿⣿⣿⣿⣿⣯⣿⣿⢼⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣟⢻⡏⣿⣾⣷⣿⣽⢸⣿⣿⣿⣿⣿⣿⣿⣿

⢹⣿⣻⣿⢿⣿⣿⣸⣃⣟⣿⣯⣻⣟⣘⣯⢿⣿⣿⣿⡟⣸⣿⣻⣻⣻⣸⣇⠿⣞⠘⠇⠛⠘⠷⠛⠙⠟⠿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠻⠸⠇⠛⠻⠋⠻⠻⠘⠛⠛⠙⠛⠛⠛⠛⠛

⣯⠿⢍⣭⡬⣭⢭⡻⣫⢭⡋⣭⣭⡩⣭⡥⠈⣿⣿⣿⣥⣭⣭⡝⢫⣭⠫⣭⡤⡏⢠⣤⢀⣤⣤⠠⣤⠄⣤⢠⡌⣭⡟⢻⡟⢻⡿⢿⢿⡿⠟⣿⣿⠿⣿⡿⢿⣿⡟⣯⢥⢠⣤⢤⣄⣤⢠⣤⢤⣤⣤⠀⠀⠀⠀⠀⠀⠀

⡿⣻⢸⣟⣇⣿⢺⡅⣿⢸⡇⣿⣿⡇⣿⠀⢠⣿⣿⣧⡟⣿⣿⡇⣿⣹⣼⢸⢰⡀⣿⣹⣸⡇⣙⠀⣿⠀⣿⢸⡇⣿⣿⢸⡇⢸⡇⠘⣿⠀⠀⣿⣿⢠⣏⣧⢸⡷⠇⣿⠾⢸⡷⢸⡿⣿⢸⡷⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣺⣿⣟⣿⣞⣷⣿⣾⣷⣛⣛⣥⣛⠀⠀⣽⣿⡿⠃⣛⣛⣃⣛⣝⣻⣘⣸⡆⠛⠙⠋⠓⠛⠀⠛⠀⠙⠚⠙⠋⠛⠘⠓⠘⠓⠀⠛⠀⠀⠛⠛⠘⠋⠛⠘⠃⠀⠛⠀⠘⠓⠚⠃⠛⠘⠓⠚⠛⠛⠐⠐⠐⠀⠀⠀⠀

                ䷩ 𝚕𝚒𝚗𝚎 944

(ℹ) Images, hyperlinks and comments at http://techrights.org/2023/01/03/gnu-and-free-software/#comments

Gemini version at gemini://gemini.techrights.org/2023/01/03/gnu-and-free-software/

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✐ Stephen_Fry_Explains_GNU_and_Free_Software⠀✐

Posted in Free/Libre_Software, GNU/Linux at 8:54 pm by Dr. Roy Schestowitz

Note: This was recorded when GNU was turning 25. RMS is turning 70 later then

year and then the GNU Manifesto turns 40.

Licensed under a Creative Commons Attribution-No Derivative Works 3.0 United

States License

Transcript:

 Computers. I‘ve loved them since I’ve been able to afford to have my

 own, back in the beginning of the modern home computer era, the

 1980s. And I‘ve owned a large number of different kinds of computer

 and I‘ve expressed, publicly, loyalty to this kind or that kind. But

 recently my mind has turned, as many people‘s have, to this whole

 business of Free Software. There is a lot of confusion about what

 this means and I‘d like to help clear it up because this happens to

 be a year of celebration, and I want to help us all celebrate it and

 to look forward to the future of Free Software.

 If you have – I don‘t know – plumbing in your house, it may be that

 you don‘t understand it, but you may have a friend who does and they

 may suggest you move a pipe here, a stopcock there, or a valve

 somewhere else. And you‘re not breaking the law by doing that, are

 you? Because it‘s your house and you own the plumbing. You can‘t do

 that with your computer. You can‘t actually fiddle with your

 operating system, and you certainly can‘t share any ideas you have

 about your operating system with other people because Apple and

 Microsoft, who run the two most popular operating systems, are very

 firm about that fact that they own that and no one else can have

 anything to do with it.

 Now this may seem natural to you: “Why shouldn’t they?” But actually,

 why can‘t you do with it what you like? And why can‘t the community,

 at large, alter, and improve, and share? That’s how science works,

 after all… all knowledge is free, and all knowledge is shared in good

 science. If it isn’t — it’s bad science and it’s a kind of tyranny.

 And this is, really, where it all started. A man called Richard

 Stallman, who decided 25 years ago, almost to this very day, to write

 a whole new operating system from the ground up. He called it GNU,

 which stands for “GNU is Not Unix” because it isn’t. It is similar to

 Unix, in many ways, but every element of it, every module, every

 little section of the code (and it‘s a gigantic code because it’s to

 run on many many platforms) is run by the community, is run by coders

 “out there” who are welcomed in to the GNU community, to help improve

 the software. Every “distro”, as they are called, every distribution

 of GNU, is tested, and worked upon, and refined by people whose only

 interest is in creating the perfect operating system that can be used

 across the spectrum of platforms and by as many users as possible.

 Now, there came a time when the kernel, which is the central part of

 an operating system, needed to be written. And a man called Linus

 Torvalds, of whom you may have heard, wrote the kernel and it was

 named after his name, Linux (line-ucks) or Linux (Lin-ucks) as some

 people pronounce it. And Linux is the kernel that runs within GNU and

 I‘m here simply to remind you that GNU and Linux are the twin pillars

 of the Free Software community: people who believe, and this is the

 important part, that software should be Free, that the using

 community should be allowed to adapt it, and adopt it, to change it,

 to improve it, and to spread those improvements around the community,

 like science. That‘s basically what it is saying. In the same way

 that good scientists share everything and all knowledge is open and

 free, so it should be with an operating system.

 So, if you‘re a supporter of GNU, if you‘re a supporter of Linux, and

 the Free Software Foundation, “Well, what can I do?”, you are

 probably wondering. The most obvious thing you can do is use a GNU/

 Linux operating system on your own computer. It‘s a lot easier than

 you might think. Go to gnu.org and see if you can find a distribution

 that suits you. Probably, if you like a good graphical user-

 interface, something like g-New-Sense, gNewSense. You’ll see it there

 on gnu.org. Or, if you’re a really smart cookie, you might want to do

 your own coding. You might want to contribute to the sum of knowledge

 that makes GNU and Linux what they are.

 Either way, I hope you will join me in wishing GNU a very happy

 twenty-fifth birthday. Lets do that now actually…

 So, “Happy birthday, GNU!” Twenty-five years old. The operating

 system of the future. Freedom!

 Chocolaty good. The tastiest operating system in the world… and it‘s

 all free.

                ䷩ 𝚕𝚒𝚗𝚎 1062

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✐ 2023:_New_Highs_for_GNU/Linux_Usage_in_Desktops_and_Laptops⠀✐

Posted in GNU/Linux, Microsoft, Windows at 1:01 am by Dr. Roy Schestowitz

According to this one survey at least

             🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇GNU/Linux_desktop_share⦈_

Summary: Windows market share is down_to_25%_this_month — a new low. On the

desktops (and laptops) GNU/Linux leaps to new all-time highs of over 3.2% (in

some countries it is a lot higher).

Dominant OS by country:

🄸🄼🄰🄶🄴🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽⦇2023_OS_share⦈_

⣿⣿⡇⣦⡝⢟⡛⡟⣛⡇⠟⡋⣻⢛⡛⡟⣛⢻⣿⢡⣶⡝⣟⣛⠿⣛⢻⢛⣻⣛⢟⣛⣿⢛⣛⡟⣛⢻⣿⠰⢾⢻⡟⢛⣻⢛⡟⣛⢻⢛⢛⡛⣿⡇⡹⡟⣸⣟⡛⡟⣛⠸⢛⢛⡛⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣇⣛⣱⣆⣒⣗⣂⣇⣎⣃⣻⣙⣃⡇⣛⣼⣿⣜⣛⣱⣟⣋⣦⣒⣺⣸⣇⣒⣸⣙⣿⣸⣿⡇⣐⢻⣿⣛⣢⡇⣼⣓⣪⣜⣇⣒⣺⣿⣿⣇⣿⣇⣷⣱⣿⣐⣂⣇⣿⣰⣝⣐⣒⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣏⣉⡏⠿⢿⠿⢿⡿⢿⠿⢿⣿⢹⡇⢿⢻⠿⢿⡿⢿⢹⠿⠏⢿⡿⣿⡏⡿⠿⢹⠿⢿⣿⣷⣶⣾⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⠷⠬⡇⣿⣾⠩⠅⣷⣿⠬⢬⣿⣇⢹⡜⣾⠺⢇⣷⣿⢸⠺⠇⣇⣱⢁⡇⡗⠿⢸⠨⢥⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⠍⢹⣩⢹⣷⢖⡇⣶⡇⣶⣗⡂⣿⠟⣿⣿⠍⢹⣭⢹⣷⢖⡇⣶⣷⢆⣗⡂⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣯⣽⣶⣾⣿⣾⣷⣶⣾⣶⣷⣶⣷⣶⣿⣿⣯⣽⣶⣾⣿⣾⣷⣶⣷⣶⣷⣶⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣻⢛⢛⠟⢻⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿

⣿⣿⣶⣶⣶⣷⣾⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡇⣄⣀⣉⠉⠙⠻⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣷⣶⣶⣶⣤⣤⣤⣤⡈⠙⠻⠿⠀⣉⣉⣉⠉⠉⠙⠛⠻⠿⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣴⣿⣿⣿⣿⣿⣷⣴⣤⣦⣤⣤⠈⠉⢀⠙⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣦⣤⣤⡈⠻⠁⣀⣀⡀⠙⠛⠻⠟⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿

⣿⣿⣿⡁⡑⡅⢸⡇⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣀⣘⣛⣛⣛⣛⣒⣂⣐⡂⠘⡛⠛⠛⠛⣛⣛⣛⢛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⡃⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠃⢰⣤⣤⣠⣀⣁⣄⠈⠉⠛⢿⠙⠻⠛⠛⠙⠋⠃⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠉⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢠⣾⣿⣿⣿⣿⣿⣿⣄⣸⣦⣀⣠⣄⣰⣶⣶⣶⡄⣸⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⠿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢰⣿⣿⠄⠀⠀⢸⣿⠁⠸⠀⠄⠀⢡⠠⠁⠤⠁⠄⠁⠸⢸⢠⠀⡀⠜⠀⢘⢠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿

⣿⣿⣿⠟⠟⠟⢻⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠉⠉⠀⠀⣰⣾⣿⣶⣾⣶⣶⣶⣾⣶⣷⣶⣷⣶⣿⣶⣶⣾⣶⣷⣾⣶⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿

⣿⣿⣿⣤⣤⣦⣤⡇⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣄⣀⠀⠀⣀⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡆⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿

⣿⣿⣿⠋⠉⡉⠙⡇⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⡃⣿⣿⣿⣿⣿

⣿⣿⣿⠿⠿⠿⢿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿

⣿⣿⣿⣥⣄⣆⣬⡇⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡤⠀⠀⠠⠤⠤⣤⣤⣤⣤⣤⣤⣤⣤⡄⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⢿⡿⠛⠻⠻⠿⠁⢀⣴⣷⣤⣤⣤⣀⠉⢀⡁⠉⠉⠛⠉⠁⢹⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠻⢿⣿⢿⣿⠿⠟⠛⠉⠉⠉⢀⡀⣀⡀⣀⣀⣀⣀⣀⢀⡉⣉⣉⣉⣉⣉⣉⣉⣉⢉⣉⣉⡀⣈⣁⣉⣉⡉⢹⣿

⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠟⠛⠛⠛⠛⠉⠋⠛⠋⠛⠋⢉⣀⣁⣀⣀⣠⣄⠈⣀⣀⣤⣤⠤⣶⣾⣿⣿⣿⡇⣇⣃⣀⣘⣂⣯⣿⣠⣃⣒⣣⣌⣯⡟⣅⣷⣹⣀⣀⣂⣂⣿⣿⣿⣿⡇⢸⣿

⣿⣿⣿⣿⣿⣿⣿⡇⠛⠛⠋⠉⢁⣠⣀⣀⣤⣤⣤⣤⣴⣶⣶⡶⢶⣿⣾⣶⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠁⡀⠘⣿⣿⣿⣿⡧⠤⣤⠄⠀⡄⠀⢀⠀⠤⣤⣤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣼⣿

⣿⣿⣿⣿⠋⠋⠹⡇⠒⠒⠈⠛⠛⠁⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿

⣿⣿⣿⣿⣶⣷⣶⣷⣶⣶⣶⣶⣶⣶⣦⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡆⠒⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⠒⢺⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢓⢈⣾⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠧⢆⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠴⣀⣾⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⢠⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣾⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡛⢿⡟⠻⠛⠿⡿⠻⠿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⡿⢛⠿⡿⠛⠟⢻⠻⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢛⠻⣿⣿⠻⠿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣭⣶⣧⣤⣦⣤⣬⣤⣥⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣷⣭⣴⣧⣭⣤⣼⣤⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣬⣴⣿⣭⣤⣤⣥⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⣭⠛⡏⡏⢛⠋⠛⠛⡛⠛⠛⡛⣿⣿⣿⣿⣿⣿⣿⡟⣭⠙⡏⣭⢙⠟⢛⠛⢛⠛⢻⢩⢉⠩⣿⣿⣿⣿⣿⡟⢩⠙⡏⢋⡍⠩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣷⣶⣾⣶⣶⣶⣶⣶⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣷⣶⣾⣶⣶⣶⣾⣶⣾⣶⣶⣶⣿⣿⣿⣿⣿⣿⣶⣾⣷⣷⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⣉⣩⡇⠆⠨⠈⠉⠉⣍⠌⠈⠍⠀⠍⠉⠅⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣏⣩⣗⣐⣃⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠛⠛⠛⠛⠋⠉⠛⠟⣿⣿⣿⣿⠿⢿⣿⡿⠿⠿⢿⣿⢿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠁⠀⠀⠀⠀⢰⣄⣄⠀⠀⠀⠀⠀⣹⣿⣿⣿⣦⣦⣼⣿⣿⡿⢛⡫⣿⠿⠓⠐⠈⠛⠿⠿⡟⢛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠁⠀⠉⠉⠉⠀⠀⠀⠁⠀⠀⠆⠈⢻⡆⠀⢀⣠⡔⠻⣿⣿⣿⠏⠁⠈⠙⠛⠁⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠐⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⢀⣠⣦⣄⠀⠀⠀⠀⠀⠘⠳⠄⠀⠉⠀⠀⢸⣿⣿⣿⠟⠻⡄⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣾⣿⣿⣿⡶⠤⡎⠀⠁⠀⠀⠀⠀⠀⠀⠀⢠⣄⠲⠶⢄⣰⡦⢀⠄⠋⡜⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣶⣖⣒⣒⣒⣶⣶⡎⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⡀⡀⣤⡄⠀⠀⠛⠿⢿⣿⣿⠣⣡⡄⣀⣂⡈⢉⡀⢤⡎⠔⢄⠹⠿⠿⣿⣿⡆⡀⣨⣰⣭⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡧⠤⠤⠿⠿⢿⣿⡇⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣮⣃⡋⠡⣀⠙⡠⣀⠀⠀⠈⠟⠇⢂⠮⠫⢆⡍⣭⠄⠛⠂⣰⣦⣹⢟⣤⡂⠉⣩⡖⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡇⢚⣒⣒⣒⣾⣻⡇⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠰⢄⣀⡉⠿⢿⣿⣷⣶⣤⣤⡌⠀⣠⡔⠘⢀⣼⣿⣿⣷⣼⣿⡁⠰⢛⠀⠘⠽⠯⡯⣭⣿⣯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣧⣤⣤⣤⣿⣿⣿⣇⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡜⢬⡛⣿⣿⢧⣿⣿⣿⣿⣿⣿⠰⠎⠃⠡⠋⠱⣿⣿⣿⣿⣿⣿⣦⣤⡤⠁⠒⠀⣄⣍⡟⣿⠿⣕⣏⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⣦⠸⣹⣾⣿⣿⣿⣿⣿⣿⣞⣨⢀⣴⣬⣿⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠈⣿⣶⣾⣷⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠸⣡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣷⣄⣰⣿⡿⢃⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣐⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                ䷩ 𝚕𝚒𝚗𝚎 1164

(ℹ) Images, hyperlinks and comments at http://techrights.org/2023/01/03/ipfs-7000/#comments

Gemini version at gemini://gemini.techrights.org/2023/01/03/ipfs-7000/

Gemini_version_available_♊︎

✐ Happy_2023._Techrights_Now_Has_Over_7,000_Objects_in_IPFS!⠀✐

Posted in Site_News at 8:29 pm by Dr. Roy Schestowitz

                  🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇IPFS_milestone⦈_

Summary: We’re fast becoming a very large player in the IPFS space; there’s an

extensive_catalogue_of_objects going back to 2020

Just over two years ago we adopted IPFS. On a daily basis we add 9 objects to

it, i.e. 3,285 per year. It was therefore inevitable that we’d pass 7,000 by

now. Later this year it will be 10,000. We currently operate two IPFS nodes.

One will be changed over to fibre-optics at the start of February.

IPFS makes us a lot more resistant/resilient/robust to censorship attempts. It

lets us publish information other sites are afraid to publish or struggle to

publish (and then keep online). █

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⢸⣿⡿⠿⠟⠛⠿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿

⢀⣀⣠⣤⣤⣾⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⣈⣿⡀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣀⡀⠀⠀⠈⠙⠛⠻⠿⠟⢿⣿⣷⣦⡀⠀⠀⣤⣤⡀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣽⣿⣇⠀⠒⠀⠐⠶⠿⠿⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣷⣶⣿⡋⠉⠉⠛⠛⠛⠁⠈⠉⠙⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⢷⣦⣴⡟⠛⠁⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⢀⣻⡿⠿⠟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⡟⠛⢻⣿⣷⣤⣄⡀⠀⠀⠀⠀⠀⠙⢿⣤⠀⠘⢣⡀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿

⠙⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢴⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠈⢀⣴⡄⠙⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣟⣛

⢀⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣄⣀⣀⣀⡼⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿

⣾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿

⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿

⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⢿⣿⣦⡀⠀⠀⠀⠀⠈⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⢤⣤⣤⣴⣶⣄⡈⠻⣿⡄⠀⠀⠀⣼⣿⣷⡤⠈⠻⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣷⡄⠐⠛⠛⠛⠛⠀⠀⠀⢹⣿⣿⣯⠀⠈⢻⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣄⠀⠄⢀⣀⣴⣾⣿⣿⣿⣦⣴⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣻⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⣰⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⣻⣻⣿⠿⠿⠸⣿⡿⠛⠛⠋⠙⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣴⣿⠁⢠⣿⣿⣿⣿⣿⣿⣿⣿

⠙⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠉⣙⠛⠛⠋⠁⠀⠀⠀⠀⠁⠀⠀⠀⠀⡻⠇⠀⠀⠀⢴⣿⠿⠛⠁⠀⠀⢀⣤⣶⡄⢸⣿⣿⣿⣿⣿⡇⠀⠘⠀⣤⠘⢏⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣷⣦⣀⠀⢀⣀⣀⣀⣠⣄⣀⡀⠀⠀⠀⣀⣀⣀⣀⣀⣈⣀⣀⠀⠀⢀⣠⣤⣤⣄⣀⡀⠀⠀⠀⠀⢈⣿⣿⣿⣿⡿⠁⠀⠀⠀⠃⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣾⣿⣿⠿⠿⠿⢿⣿⣷⡄⠀⣿⣿⡿⣿⣿⠿⠿⠿⢀⣶⣿⣿⣿⢿⣿⣿⣿⣷⠈⠉⠃⢸⣿⣿⣿⣿⡇⠀⣴⣶⣤⡀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣿⣿⣿⣿⣿⣿⣿⢄⡀⠀⠀⢹⣿⣿⠀⣿⣿⡇⠁⠀⠀⠀⠀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⡇⢸⣿⣿⣿⣿⡷⠸⣿⣿⣿⣿⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣷⣿⣶⣾⣾⣿⡿⠀⣿⣿⣧⣤⣤⣤⣾⣇⣸⣿⣿⣿⣿⣿⣿⣟⡉⠉⣓⢻⡇⢸⣿⣿⣿⣿⡏⠀⣿⣿⣿⣿⡄⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿

⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⣿⣿⡿⠿⠿⠿⠿⢿⡟⠋⠛⠛⢿⣿⣿⣿⣿⣷⣿⣿⣧⣾⣿⣿⣿⣿⣷⣴⣿⣿⣿⡟⠁⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿

⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠈⣳⣧⣄⡀⠀⠘⣿⣿⣿⣿⣿⣿⠟⠁⢿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿

⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⡇⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⢰⣿⣿⣯⣧⣤⣾⣿⣿⣏⠿⢿⡇⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣴⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣻⡟⣿⢿⣿⣿⣿⣿⣿⣿⣿⡇⣃⠀⠀⠛⠛⠃⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠛⠛⠋⠛⠻⢷⣦⠁⠀⣠⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣾⣿⣻⣿⣿⣿⢟⣿⣿⢏⠁⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣤⡴⠁⠀⢰⣿⣿⡷⠟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣷⣤⣀⡀⣀⣀⡀⠀⠀⠀⠀⠀⠸⣿⣛⠾⢿⠎⡿⣾⡗⢿⡭⢬⠀⠨⠀⠀⠀⠀⢰⡄⠀⠀⠀⠀⠀⠀⠀⣀⣄⣉⡉⠉⠉⠉⠁⢀⣴⣿⣿⣿⣇⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠉⠻⢽⡁⣺⢢⡙⢾⡂⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣷⣴⣦⣴⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⠀⠀⠀⡀⠀⠀⠀⠀⠹⠩⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⠿⣿⣿⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠋⠁⠀⠘⠟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠈⠉⠉⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡄⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣧⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣶⣀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣼⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣇⣄⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠻⢿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⠀⡀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡟⢠⣧⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⢿⣿⠁⣸⣿⣇⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠘⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣇⣀⡃⠀⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⡿⠟⠉⣡⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

[39A⠻⠻⠛⠛⠛⠻⢿⣿⣿⣿⠿⠃⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿

⣀⣀⣀⣤⣶⡿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣤⣤⣀⡀⠀⠀⠀⠈⠉⠻⠋⠙⢿⣿⣷⣆⡀⢀⣤⡄⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣷⣨⣿⡄⠀⠀⢀⣠⣤⣶⠶⠀⠀⠉⠁⠉⠉⢉⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠋⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠘⢿⣷⠹⣿⣿⡿⠃⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿

⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠘⢿⡿⠉⠉⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠙⠀⡄⠀⠀⢀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠈⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⢿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⢰⣆⠀⠀⠀⠀⠀⠀⢀⢹⣿⣿⣿⣿⣿⣿⣿

⠀⠀⢿⣿⣿⣿⣿⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣷⣶⣤⣤⣤⣤⣤⠉⠉⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠈⢻⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿

⣶⣦⣴⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿

⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿

⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣾⣿⣿⣿⡿⠻⣿⣿⣿⣿⡇⠀⠀⠀⠀⣶⡄⢰⣿⣿⣶⣿⣿⣿⣿⣿

⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣄⠀⠀⠀⠀⠀⠀⣸⣿⣿⡄⠀⠈⣿⣿⣿⡀⠀⠀⠀⠘⠛⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣴⣦⣄⠉⢃⠀⠀⠀⢀⣴⣿⣿⣿⣿⣶⣾⣿⣿⣿⡇⠀⠀⠀⢠⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⡿⠉⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⢀⠀⣠⢤⣀⣞⣋⡽⣻⣿⣿⣿⣶⣤⣀⠸⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⠇⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⠀⠬⢤⡨⠭⣇⡒⣷⠋⠐⣿⣿⣷⡏⣝⢿⣿⣿⣿⠛⣿⣾⠟⠛⠛⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢀⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⠀⠀⠸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠅⠒⢉⣄⠒⠠⠬⠀⡂⠀⠰⠆⠀⢁⣿⠿⡏⢱⢸⣿⣿⣿⡿⠟⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣰⡏⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿

⣿⡿⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠁⡀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠀⠻⠇⠘⠧⡠⠛⠛⠁⠀⠀⠀⠠⠴⠀⢸⣿⣿⣿⣿⣿⡿⠀⠀⠀⣀⠘⣃⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⢀⣀⣀⣀⣀⣀⣀⡀⡄⠀⣄⣀⣀⣀⣀⣀⣀⣀⣀⠀⠉⢀⣀⣠⣤⣠⣀⡀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⠃⠀⠀⠀⠁⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⣾⣿⣿⠿⠿⠿⢿⣿⣷⣄⠘⣿⣿⡿⠿⠿⠿⠿⠿⢀⣶⣿⡿⠿⠿⠿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⢰⣦⣀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⣿⣿⣿⠀⠀⠀⠀⢹⣿⣿⠀⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⡁⠀⠀⠀⣼⣿⣿⣶⠄⠀⢸⣿⣿⣿⣿⣿⡇⢸⣿⣿⣇⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⣿⣿⣿⠀⠄⢀⣀⣾⣿⡿⠀⣿⣿⣇⣀⣀⣀⣀⡄⢸⣿⣿⣿⣶⣤⣤⣬⡉⠉⠀⠀⠀⢸⣿⣿⣿⣿⣿⠃⢸⣿⣿⣿⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⣿⣿⡿⠿⠿⠿⠿⠇⢠⠌⡙⡛⠻⠿⣿⣿⣿⣆⣠⣴⣦⣾⡿⢿⣿⣿⣿⣷⣿⣿⣿⡏⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠂⣿⣿⣿⡌⡏⢁⣰⣤⣐⣄⣠⣿⣿⡇⠀⠀⠀⠀⠀⠈⠀⠙⠋⠀⠀⠈⣿⣿⣿⣿⣿⡟⠙⠁⠘⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⢰⣿⣿⣿⡉⠌⣫⡝⢻⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣶⣦⣤⣤⣾⣿⣿⠿⣿⣿⠃⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠈⠛⠛⣻⠷⠄⢐⠲⡍⠾⠁⠙⠛⠛⠃⠀⠀⠀⠀⠀⠈⠙⠛⠿⠻⠿⠛⠋⠀⠀⠛⠛⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠀⠁⠀⠠⠐⠂⠀⠐⠂⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡈⠗⠂⠂⠀⠀⠀⠀⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠃⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠃⠀⠀⠰⠿⠿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠛⠋⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⡀⠀⡀⠀⣸⣿⣿⣿⡇⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⡀⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠈⠉⠉⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠇⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣶⣄⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⡟⢸⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠸⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⢈⣿⣿⡏⠀⡄⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠈⠙⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣇⣈⣼⣿⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

[39A⠀⢀⣀⡀⣀⡀⠀⠛⠿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣃⣀⣀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠻⣿⣷⣶⡀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠛⢿⣿⣿⣿⣿⣶⣶⣤⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠈⢛⠋⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠻⣿⠛⢛⣿⡀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀⠀⠀⠠⡄⠀⠻⢿⠋⠉⠻⣿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠈⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⣶⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⠿⢁⣠⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣀⣀⣀⣀⡄⠛⠀⠀⠀⠀⠀⠢⣼⣿⣿⣿⣿⣷⣾⣿⣿

⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠘⠉⠀⢠⣶⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿

⢀⣤⣤⣄⠀⠘⡿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠴⣿⣿⣿⣿⠀⠀⠀⠀⢀⡀⠀⣀⣀⣩⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⡏⠀⠀⠀⠀⣾⣿⣰⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣉⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢛⡃⠀⠀⠀⠀⢻⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡄⠀⠀⢰⡟⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⠀⠀⠀⠈⠁⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⡆⠀⠺⠗⠀⠈⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⡿⠟⠟⠿⠿⣿⣦⡄⠀⣿⣿⡿⠿⠿⠿⠿⠿⢀⣴⣿⣿⠿⠿⠿⢿⣿⠀⠀⠀⠀⠀⢠⣶⣤⣿⣿⡇⠀⢠⣄⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⡇⠀⠀⠀⠀⢸⣿⣿⠀⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡇⢠⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⡇⠀⠀⠀⢀⣼⣿⡿⠀⣿⣿⣇⣀⣠⣤⣤⡄⠘⢿⣿⣿⣶⣦⣤⣀⠀⠀⠀⠀⠀⢀⣾⠻⣿⣿⣿⣷⣼⣿⣿⡇⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠿⢿⣿⣿⠿⠟⠁⠀⣿⣿⡿⠿⠿⠿⠿⠇⠀⠀⠉⠛⠻⠿⣿⣿⣷⡄⠀⠀⠀⠘⡋⠀⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣴⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⢰⣷⣶⣤⣤⣤⣶⣿⣿⠇⠀⠀⠀⠀⠀⣠⣿⡅⡏⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠛⠛⠃⠀⠘⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠃⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⣰⣿⣿⡇⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⡇⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣎⡙⢿⣿⣿⣿⣿⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠰⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠿⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⡄⢻⣿⣿⣿⣷⣦⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⡀⣿⣿⣿⣿⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠇⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣦⡀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣄⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠙⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣆⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣾⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⢠⣤⠞⠛⠉⠹⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⠀⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⡄⢀⡀⣼⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

[39A⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⡿⠃⠀⢿⣿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⢀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡼⠻⠻⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣷⣤⣄⠀⠀⠀⠀⠀⠈⠣⠄⠀⠀⠐⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣷⣄⠀⠀⠀⠀⠀⠀⢰⣾⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣷⣶⣤⣤⣤⣶⡏⠉⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣽⣿⣿⣿

⠀⠀⠀⠀⠙⢻⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿

⢀⣠⣶⣦⡀⣈⠿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⡯⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡇⠀⠀⠀⠀⢀⡀⠀⠈⢻⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⢠⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣯⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣇⠀⠀⠀⣼⣿⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⣿⠏⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⣾⣿⣼⣿⣿⣿⡟⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡆⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠸⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠚⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠄⢀⣿⣿⣿⣿⣿⣇⣠⣤⠀⢰⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⢀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠉⠋⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠿⠿⠿⢿⣿⣷⣄⠀⣿⣿⡿⠿⠿⠿⠿⠟⢀⣴⣿⡿⠿⠿⠿⣿⣿⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⡇⢰⣦⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⠀⢹⣿⣿⠀⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⡁⠀⠀⠀⠀⠀⠀⣠⣴⣦⣾⡿⠛⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⣀⣾⣿⡿⠀⣿⣿⣇⣀⣠⣤⣤⡄⠈⢿⣿⣿⣶⣦⣤⣀⠀⣰⣿⣿⡿⠉⠁⠀⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⣿⣿⡿⠿⠿⠿⠿⠇⠀⠀⠉⠛⠻⠿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⣿⣿⣧⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⡿⠃⠀⠀⠀⣼⣿⡇⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡇⠀⠀⣿⣿⣿⡇⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⢰⣷⣶⣤⣤⣤⣾⣿⣿⠏⠀⠀⠀⢀⣾⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠻⠿⣿⠇⠙⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠃⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⢻⣿⣋⡁⠀⠀⣠⣦⣿⣿⣿⣿⣆⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⢸⣿⣿⣿⣿⣿⠉⢿⣿⣿⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠋⠉⠉⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠈⣿⣿⣿⣿⣿⣷⢸⣿⣿⣿⣿⡟⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠟⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣦⡀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣦⣀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣷⣆⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠙⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠈⢷⠀⠈⢻⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠿⠟⠁⢀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠈⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣧⣤⡀⠀⢸⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠐⡄⠀⠀⢰⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

[39A⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠻⢿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⣀⣀⡀⠀⢿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣷⣤⣄⡩⡋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡋⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣏⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⣾⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡏⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡇⠀⠀⠀⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⠀⠀⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣹⡁⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣆⣿⣿⣿⣷⣶⣤⡀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⣀⣀⡀⠀⢀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⢀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠈⠁⢻⣿⣿⣿⣿⣿⣿⣷⣦⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⣸⣿⣿⠿⠿⠿⢿⣿⣷⣄⢸⣿⣿⣿⣿⡿⠿⠿⠿⢀⣶⣿⣿⠿⠿⠿⣿⣿⠃⠀⠀⠀⠀⠀⣾⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠐⣿⣿⣿⡄⡆⠀⠀⢹⣿⣿⠀⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡇⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⣿⣿⣿⠁⠈⢀⣀⣾⣿⡿⠀⣿⣿⣇⣀⣤⣤⣤⡄⠘⢿⣿⣿⣶⣤⣤⣀⠀⠀⠀⠀⠀⢰⣿⣿⡗⠁⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠿⠿⣿⠟⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⢻⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⣿⣿⡿⠿⠿⠿⠿⠇⠀⠀⠉⠛⠛⠿⢿⣿⣷⣄⣀⣠⣀⠸⣿⣿⣇⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣦⡀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣷⣎⣿⣿⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣦⡀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⢰⣷⣶⣤⣤⣤⣾⣿⣿⣿⠿⠋⠉⠉⠻⣿⣏⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠛⠛⠃⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⢻⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠁⢀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡿⣿⣿⣿⣶⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣤⣀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⣬⣿⣿⣇⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠈⠿⠟⢿⣿⣿⣿⣿⣿⣿⣯⣹⡿⢿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⡄⢀⣌⠛⢿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣿⠋⣻⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠡⠘⣿⣦⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣶⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢠⣬⡉⠀⠘⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠋⠉⢁⣴⣶⣦⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠸⠿⠇⣀⣸⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣴⣿⡿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⢰⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⢘⣉⣉⣸⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⣤⣶⣿⣆⠀⠀⠀⣠⡄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠿⠛⠁⠀⢀⣾⣿⡇⠀⠀⠀⠀⠀⣿⣿⡿⠻⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡟⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠁⠀⣀⣤⡔⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⠁⠀⠀⠀⠀⠙⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡏⢿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⣉⠈⣹⣿⡈⠩⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠿⠷⣾⣿⣿⠁⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⠶⠿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⠀⠉⠉⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⣿⣿⡏⠀⣿⣿⣿⣿⠀⠀⠀⠀⢰⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

[39A⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣷⠈⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⢀⣤⡀⠀⠈⠿⣿⣿⣿⣿⡇⠃⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠛⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣴⣿⣿⣿⣶⣄⡀⠈⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠏⠛⠻⢿⠟⢻⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣷⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⣤⣤⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⡏⢹⣿⣷⣄⡀⠀⠀⠈⠉⠀⠀⠀⢸⣿⣿⣿⣿⡟⠁⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⣀⡀⢸⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠈⠋⠈⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⡿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠙⢻⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣿⣿⣿⣿⣿⣿⣿⣿⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⣾⣿⣿⣿⠀⢀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⢀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣦⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣼⣿⣿⠿⠿⠿⢿⣿⣶⡀⠀⣿⣿⣿⣿⣿⠿⠿⠿⢀⣶⣿⣿⠿⠿⠿⣿⣿⠃⠀⠀⠀⢀⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣷⠀⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀

⣾⣿⣿⣿⣿⡻⠿⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⠀⠀⣀⣼⣿⡿⠀⣿⣿⣧⣤⣤⣴⣤⡄⠘⢿⣿⣿⣶⣦⣤⣀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⣿⣿⡿⠿⠿⡿⠿⠇⠀⠀⠉⠛⠻⠿⣿⣿⣷⡄⠀⢰⡆⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡌⢿⣟⣿⠋⠁⢐⠀⣿⣿⡇⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⠀⣼⡇⢹⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠋⠛⠙⠉⢻⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⡏⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⢰⣿⣶⣦⣤⣤⣶⣿⣿⠇⣸⣿⣧⣾⣿⣿⣿⣿⡟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠛⠛⠃⠀⠀⠀⠀⠀⠈⠙⠛⠛⠛⠛⠛⠋⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⢿⣿⣿⣿⣿⣿⣿⣿⠟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⢻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⢯⣿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠸⡿⢿⣷⣍⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢼⣻⣿⣿⣿⣿⣿⣿⣿⣿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣍⠛⠿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿⣿⣿⣿⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣷⡦⠈⠙⠻⠿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⠛⠛⠛⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠂⠀⠘⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠂⠀⠀⠀⢈⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣠⣿⡟⣻⣿⠀⠀⠀⠀⢀⣀⣤⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠘⠛⢿⣿⡋⠈⠁⠀⢀⣠⣿⣿⣿⡟⠻⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⣤⣄⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⡏⢻⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⣠⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⡏⠀⠀⠀⠀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⡷⠾⣿⣿⣿⣧⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

[39A⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡟⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⡆⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡜⢣⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⢀⠀⠀⠀⠘⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡟⠀⠰⣆⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠛⠛⠻⣿⣿⡇⠀⠀⠀⢀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⣠⣤⣾⣿⣦⣄⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠃⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⢸⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣤⣶⣿⣿⣿⣿⣿⣿⣿⣶⣤⣄⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠒⠺⢿⣿⣿⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣧⡀⠀⠀⠀⠰⣶⡆⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⡀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣸⣿⣿⣦⣄⣀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡿⠛⠿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⡀⠰⣾⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠉⢻⣟⢹⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢸⡧⠘⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⢰⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣷⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣴⣿⣿⣿⣿⣁⣀⣀⣀⡀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⢀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿

⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⣿⣦⡀⠀⣿⣿⡿⠿⠿⠿⠿⠿⢀⣶⣿⣿⠿⠿⠿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣶⣶⣦⣀⠀⠀⢻⣿

⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠸⣿⣷⠀⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣷⣄⠸⢿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣀⣼⣿⡏⠀⣿⣿⣇⣠⣤⣤⣤⡄⠘⢿⣿⣿⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡘

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⣿⣿⡿⠿⠿⠿⠿⠇⠀⠀⠉⠛⠛⠿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠗⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⢰⣿⣶⣤⣤⣤⣶⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠛⠛⠃⠀⠀⠀⠀⠀⠈⠉⠛⠛⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣶⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⣿⣿⣿⢻⣿⣿⡛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠉⠙⠿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⠀⢠⣿⣿⣿⢸⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⣿⣶⣄⠉⠻⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡟⠀⣸⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡃⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡏⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⢀⣹⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡿⠟⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⣀⣾⡿⢿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢿⠿⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⢀⣤⣶⡿⠇⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣤⣶⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⣴⣿⠟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣻⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠛⢿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡟⢻⣿⣶⣶⠆⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⠟⠃⢀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣷⣼⠟⠛⠉⠀⢀⣴⣿⠀⠀⠀⠀⢀⡿⠿⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣌⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⠋⠀⢐⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣇⣸⣿⢀⣀⣤⣾⣿⣿⣿⠀⠀⠀⠀⢸⡇⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⠶⠾⡾⠿⠿⠑⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠁⢸⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

[39A⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⡄⠀⠀⠀⠀⠀⠀⠈⣻⣿⣿⣿⡟⠉⠙⢿⠇⠀⠀⠀⠀⠀⠀⠀⢿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⣀⣀⣼⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⣠⣴⣿⣿⣿⣿⣿⣇⣀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠈⣷⣆⠀⠀⠀⠐⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣠⣾⣿⣷⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠈⢿⣿⣿⣿⣿

⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⢿⣿⣶⡄⠀⣿⣿⡿⠿⠿⠿⠿⠿⢀⣴⣿⡿⠿⠿⠿⢿⣿⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠘⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⡉⠁⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⢀⠀⢹⣿⣿⠀⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣹⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣠⣾⣿⡿⠀⣿⣿⣇⣀⣀⣤⣤⡀⠈⢿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⣿⣿⡿⠿⠿⠿⠿⠇⠀⠀⠉⠙⠛⠿⢿⣿⣷⡄⠀⠀⡀⠀⢸⣦⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⣴⣾⣿⡄⠸⡿⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⢠⣷⣦⣤⣤⣤⣶⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⣦⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠛⠛⠃⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠛⠛⣿⣿⣿⣿⣿⡀⢀⡀⠀⠀⠀⠉⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⡇⢸⣿⣿⣶⣀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⢿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡿⢷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠈⠉⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⡁⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⠿⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣾⣿⣇⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠟⠀⢉⣿⣿⡆⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣀⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣁⣤⣤⣿⣿⡿⠃⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠁⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢀⣠⣾⣿⡟⠈⠗⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠙⠛⣡⣠⣤⣤⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠈⠉⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠻⠟⠛⠉⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⢰⣶⣾⣯⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠘⠿⠿⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⠿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣸⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣼⠟⠓⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣷⣶⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⡄⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣾⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠛⠙⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿

[39A⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣠⣄⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡄⢠⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠿⠿⠿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⢠⣿⣿⡿⠛⢻⣿⣿⣟⠀⠀⠀⢸⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⣀⣶⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠈⣿⣿⠁⠀⠺⣿⣿⡇⠀⠀⠀⢸⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⢀⣴⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢰⣿⣿⣦⡀⣸⣿⣿⡇⠀⠀⠀⣾⣿⢷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣤⣾⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠛⠿⠿⢿⣿⣿⣿⣿⣿⡏⠀⠀⠰⢉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⣀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠠⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⡿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⠈

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣿⣿⣿⡇⠀⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠂⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣾⣿⣿⣿⣿⣿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⡶⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⢀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠈⠁⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣶⣄⡀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣸⣿⣿⠿⠿⠿⢿⣿⣶⡄⠀⣿⣿⡿⠿⠿⠿⠿⠿⣠⣶⣿⣿⠿⠿⠿⢿⣿⢃⣤⣠⣤⣼⣿⣿⣿⡿⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢹⣿⣿⠀⣿⣿⡇⠀⠀⠀⠀⣸⣿⣿⣿⡁⠀⠀⠀⠀⠀⣾⣿⣿⡿⢻⣿⡏⠁⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠘⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⢀⣼⣿⡟⠀⣿⣿⣇⣀⣀⣀⣠⣿⣿⣿⣿⣿⣷⣦⣄⣀⣰⣿⣿⣿⡗⢸⣿⠁⠀⠀⠀⠛⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⣿⣿⡟⠛⠿⠿⠿⠃⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡦⠀⠀⣿⣿⡇⢿⣿⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⣿⣿⡇⠀⠀⢷⣄⠀⢀⣶⣶⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠘⠻⠟⠻⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠉⠙⠃⠀⠀⠀⢻⡄⠀⠉⠛⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠉⢻⣿⣿⣯⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠉⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠓⠀⠀⢹⣿⣿⣷⠀⠀⠀⠀⠀⠀⣀⣀⣀⣼⣿⣷⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠐⠀⠀⢸⣿⡿⠛⣇⣀⣠⣴⣶⣿⣿⠁⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⠛⢿⣶⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣦⣤⣶⣾⣿⣿⣿⣿⣿⠿⠿⠇⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠙⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡆⠀⠀⠀⠀⠈⠀⠀⠀⠛⠁⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠀⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⠀⠀⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⠀⢰⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⢸⣿⡇⠀⠀⠀⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⢸⣿⡇⠀⠀⢀⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡿⠷⠶⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠁⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿

[39A⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣶⣶⣶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣷⣾⣶⣶⣿⣦⠀⡀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣧⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠁⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣆⠀⣀⣴⣿⠿⠿⠛⠻⠿⣿⣿⣿⣿⠿⣿⣿⣿⡏⠀⠀⠀⣴⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠿⠿⠁⠀⠒⠀⠀⠀⠘⣿⣿⠂⠀⠺⣿⣿⠃⠀⠀⠀⣿⡇⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⢟⣠⣄⠀⢀⠀⠀⠀⠀⣰⣿⣿⣄⠀⣠⣿⣿⠀⠀⠀⠀⣿⡇⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⢀⣤⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣧⣤⣶⣾⣿⣿⣿⣿⣷⣿⣿⣿⡇⠀⠀⢰⣿⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⣰⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠉⠛⠿⣿⡿⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠸⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠄⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⢨⣿⣿⣿⣿⣿⠁⠀⠀⢤⣿⣿⣿⣿⣿⣿⡿⠿⠛⠟⠿⠿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⠀⠀⠀⠀⠀⠀⠰⠎⠁⠀⠀⠀⠈⢿⣿⣿⣿⡿⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣀⣀⡀⠀⠀⠀⠉⠙

⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⣿⡇⠀⣀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣷⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠖⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⣀⣀⡀⠀⢀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⣀⣀⣀⣀⣺⣷⣶⣤⠀⠀⠀⣀⣀⣀⣀⣀⣀⣙⣤⣄⡀⢸⡟⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣾⣿⣿⣋⡙⠋⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⠿⠿⠿⢿⣿⣶⡄⠀⣿⣿⡿⢿⡿⢿⣿⣿⣇⣴⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡷⢾⣧⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣦⡀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⢸⣿⣿⠀⠀⠀⠀⢹⣿⣿⠀⣿⣿⡇⢸⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠋⠁⢸⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠀⠀⠀⢀⣼⣿⡟⠀⣿⣿⣇⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⠀⠀⠀⢠⣦⣾⣿⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠋⠀⢼⣿⣿⡟⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠘⠋⠈⠙⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠙

⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠘⡏⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠃⠀⠀⠀⠀⠈⣿⣿⡇⠀⠀⠀⠈⢻⣿⣿⣿⣿⡿⠋⠈⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣶

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣦⡀⠀⠀⢠⣿⣿⣿⣯⣤⣤⣾⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠉⠻⢿⣿⣿⣿⣿⣿⠿⠛⠛⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣷⣀⣠⣾⣿⣟⠛⠛⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⢀⠈⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢻⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠈⠂⠀⣸⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠻⣿⡟⠻⣿⣦⣤⣤⣤⣴⣶⣶⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠏⠈⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠶⣦⣄⡈⣹⣿⣿⣿⣿⠟⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣦⣀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣉⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⠟⠉⣿⣿⣿⣿⣟⡁⠀⢀⣠⣤⣾⣿⣿⣿⣿⣿⣿⡿⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣷⣦⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⠈⠟⠃⠀⠙⠿⠋⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋

⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⡟⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀

⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡇⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀

⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀⢻⡇⠀⠀⠀⣴⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀

⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡿⠀⢸⡇⠀⠀⠀⢻⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀

⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠁⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠹⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀

⣿⣿⡿⣶⠎⢶⠄⠰⠶⠶⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣷⣶⣶

[39A⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⠿⣿⣧⣧⣀⠀⠀⠀⠀⠙⠃⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⣠⠄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠋⠀⠀⠀⢸⣿⡿⠿⣿⣧⣀⠀⠀⠀⠀⠈⠻⠧⠘⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⣰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⠀⠙⠃⣴⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⢀⡀⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⢀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⢠⣿⣿⣿⣿⣿⣿⣿⣦⣤⣄⣀⣤⡘⠁⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⢿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣰⡇⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠿⣿⣿⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠁⠀⠀⣀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠈⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠏⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⡿⠻⠛⠉⠉⣿⣿⣿⡿⠻⣿⣿⣿⠇⠀⠀⢸⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⣰⣿⣿⣿⣟⠀⠀⠀⠀⠀⢹⣿⣿⣇⠀⣸⣿⣿⠀⠀⠀⢸⣿⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣦⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⡿⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠙⠻⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠘⢁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⠀⠀⠀⠀⠀⢤⣀⠉⠛⢿⣿⣿⣿⣿⡇⠀⠈⣹⣿⣿⣿⣿⣿⠁⠀⠀⢂⣼⣿⣿⡿⠿⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣧⡀⠀⠀⠀⢸⣿⣿⣦⣄⡈⠙⠿⠿⠛⠛⠀⠸⣿⣿⣿⣿⡿⠀⠀⠀⣼⣿⣿⠟⠁⠀⢀⣀⣀⣤⣽⣿⣿⣿⡿⠿

⠀⠀⢸⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⢰⣿⣿⣿⣿⡇⢀⣤⣼⣿⣿⣧⠀⠀⠀⣿⣿⣿⣿⣿⡟⠉⠁⠀⠀

⠀⠀⢀⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠈⣿⣿⣿⣿⣿⣾⣿⣿⡏⠀⠀⠀⠀⣠⣿⣿⣿⣿⠧⠀⠀⠀⠀⠀

⠀⠀⠈⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⣾⡧⢿⣿⣿⣿⣿⣏⠛⣿⣿⣿⣿⣿⣿⠛⠛⠁⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣤⣤⣾⣿⣿⣿⡟⠃⠘⠈⠁⠀⠀⠀

⠀⠀⠀⢻⣿⣿⣿⣧⣤⣄⣀⠀⠀⠀⠀⠀⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠙⢿⣿⣿⣧⠀⠀⠐⠻⠛⠋⠀⠀⠀⢀⣤⣶⡗⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⡿⠁⠀⣠⣶⣄⣀⣠⣤

⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⢀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⣀⣀⣀⣠⣤⣽⣿⣿⡶⠂⢀⣀⣀⣄⣀⣤⣶⣿⣿⣿⠃⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣧⣀⣾⣿⣿⣿⣿⣿⣿

⠀⠀⠀⢀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠿⠿⠿⢿⣿⣶⣄⣾⣿⣿⣿⣿⣿⠿⢿⣿⣿⣶⣿⣿⠿⠿⢿⣿⣿⣿⠟⠁⠀⢰⡟⢻⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿

⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⠏⣿⣆⠘⣿⣿⣿⣿⣧⠀⠐⠒⠱⠟⠋⠀⢀⣰⣿⣿⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠹⣿⣿⣿⡿⠿

⣶⠀⠈⠉⠉⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣷⣦⣄⣀⠀⣀⣴⣿⣿⣿⣿⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠙⢿⣿⣿⣤

⣿⣧⡀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡉⠻⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡸⠛⠛⠛

⣿⣿⣿⣦⡀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣼⣿⣿⠀⠀⣰⣿⣿⣿⣇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡀⠀⠀

⣿⣿⣿⣿⣿⡄⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠉⠻⣿⣿⣿⡇⣿⣿⡇⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠿⠿⠿⠄⡀

⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠘⠛⠃⠀⠀⠀⢠⣾⣿⣿⣿⣟⠛⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠈⠉⠉

⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢃⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠈⣉⡛⢻⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⡛⢿⣿⡿⠀⣾⣷⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⢹⣿⡝⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⢩⣿⣿⣿⣿⣷⣤⡛⠀⠀⠙⠃⠀⡟⠉⢻⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠈⠇⠈⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠈⣀⣸⣿⣿⣿⣿⣿⣋⣡⡄⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠐⠟⢿⣿⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡟⢹⣿⣿⣿⣿⠿⠓⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡀⣠⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⣀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⣤⣶⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⢀⣨⣿⣿⣿⣿⠛⠁⢸⠟⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⣠⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠻⠿⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠘⣿⣿⣿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⣁⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠸⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠻⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿

⣿⣿⡏⢘⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⠿⡿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡆⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢰⡆⠀⠀⠀⠀⠀⠀⣿⣿⣿

⣿⣿⠃⠸⣿⣿⣿⣿⣿⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⢠⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣀⠀⣼⡏⠀⠀⠀⠀⠀⠀⠸⣿⣿

⣿⣿⠀⠀⣶⠿⢿⣿⣿⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿

⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⡇⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿

⣿⣿⡿⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣧⠀⠀⢸⣿⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿

⠉⠷⠶⣶⠟⢷⠄⠰⠶⠶⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿

[39A⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣿⣿⡿⠋⣼⣿⣿⣿⣿⣿⣿⣿⣶⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠶⠋⠀⠈⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠉⠙⠙⠿⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⠟⠁⠀⠀⢹⣿⠿⢿⣷⣄⠀⠀⠀⠀⠀⠹⠧⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⣠⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣦⡄⠀⠀⠀⠔⣂⠈⠛⠀⣼⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⡀⠉⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⣰⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡟⠁⠀⠀⠀⠀⠉⠀⠀⢰⣿⣿⣿⣿⣿⣿⣷⣤⣤⣄⣀⣀⠁⡀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⢸⣿⠃⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⡇⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⡄⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣄⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠻⠿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⡿⠟⠛⠋⠁⠉⣿⣿⣿⠏⠻⣿⣿⡏⠀⠀⠘⣿⡃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣅⣀⡀⠀⠀⢀⢸⣿⣿⡀⣠⣼⣿⡇⠀⠀⢠⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠁⠉⠗⠀⠀⢀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⢻⠟⢡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣆⠀⠀⠀⠀⠀⣈⠉⠻⢿⣿⣿⣿⣿⡿⠿⠿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠈⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣀⣀⣸⣿⡄⠀⠀⠀⠀⢸⣷⣦⣄⠈⠙⠳⣿⣿⣄⣀⠀⢹⣿⣿⣿⣿⡇⠀⠀⢠⣾⣿⣿⠟⠉⠀⠈⠙⠛⢿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣄⢀⣿⣿⡿⣿⣶⣤⠈⠉⠉⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⣼⣿⡿⠃⠀⠀⣤⣴⣶⣶⣾⣿⠿⠿⠛⠛

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣸⢞⣁⡀⣀⡀⠀⠀⠙⢿⣿⣿⡯⠀⠴⠶⠿⠿⠛⠀⠀⠀⣹⣿⣿⣿⠛⠋⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠙⡷⠿⡳⣗⡝⠟⠛⠁⠀⠀⠀⢿⣿⠋⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⡿⠇⠠⠀⠀⠀⠀⠀

⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠋⠛⢿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⣠⣄⢹⣿⣦⣄⡀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⠇⠀⢀⣤⡀⠀⢀⣀

⠀⠀⠀⠀⠀⠀⢠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⢀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⣀⣙⣿⣿⣿⣿⣿⣿⣿⡆⠀⣀⣀⣄⣀⣀⡔⢠⣾⣿⡟⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣯⣉⣿⣿⣇⠀⣤⣿⣿⣿⣶⣿⣿

⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠿⠿⠿⢿⣿⣦⣄⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⣿⣿⢟⣿⠿⠁⠀⣸⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⣀⡀⠀⠀⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⣸⣿⣿⣿⣷⡄⠀⠀⠀⠈⠀⠋⠀⠀⢰⣿⡇⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠈⢻⣿⣿⣿⣿⠿

⣀⣠⣾⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠹⣿⣿⣿⣿⣦⣄⣀⠀⠀⢀⣤⣶⣿⣿⡇⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡈⠿⣿⣿⣧⣄

⠛⠛⠉⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⠀⠀⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠙⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⠚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠻⠿⠿⠿

⣶⡀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣿⣿⡇⠀⢸⣿⣿⢀⣾⣿⣿⣿⡇⠙⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀

⣿⣷⣄⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⢸⣿⣿⠻⢿⣿⣿⣿⣧⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀

⣿⣿⣿⣷⡀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠀⠘⠛⠛⠀⠈⣻⣿⣿⣿⣇⠀⠛⠛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀

⣿⣿⣿⣿⣷⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣷⣠⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠙⠛⠛⢿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀

⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠙⠿⠿⣿⣿⣿⣿⣯⣿⣤⣤⡀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣀⠀⠀⠹⣿⣿⡷⠠⣶⠄⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀

⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠸⣶⣼⢿⣿⣿⣿⣏⠙⠛⠇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠟⢻⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣌⠃⠀⠀⠋⠀⠈⣯⣍⠹⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀

⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⢿⠛⢼⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣧⣣⣾⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⢀⣸⣿⣏⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⠀

⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡿⠀⠀⢸⣿⠪⠈⠀⠀⠀⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣠⣴⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣷

⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⢀⣨⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⡇⠀⠀⠘⠉⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣇⡀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢰⣾⣏⡙⣿⣿⣧⠀⠀⠀⠀⣴⣿⣿⣿⡿⠛⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠙⠃⠀⠀⢈⣅⠀⠀⠀⠀⠈⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿

⣿⡇⠀⢻⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣾⣿⣿⡄⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⠟⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿

⣿⠀⠀⠸⢿⣿⣿⣷⡀⠀⠀⠀⠀⣀⣴⣿⣿⡟⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⡄⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿

⠁⠀⠀⠀⠀⠉⠙⡿⢃⣀⣠⣴⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿

⠀⢀⣀⣀⣀⣤⣴⣾⣿⣿⣿⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡿⠿⣿⣿⣿

⣿⣿⣿⣿⡿⢿⠿⠱⠶⠶⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣷⠀⠀⣿⡦⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⠇⠀⠈⣿⣿

[39A⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠛⠛⠛⠉⠉⠉⠉⠉⠉⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣶⣶⣤⣤⣤⣄⣀⠀⢀⣿⣿⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⠀⠀⣀⡀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣷⡄⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠙⠁⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⡀⢸⣿⣿⣿⣿⠟⠉⠙⠛⠻⢿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠂⠀⠀⠀⠀⠀⣠⣤⠀⠀⠀⠈⣻⣿⣿⣿⣿⣿⣿⡄⠘⠛⠛⠛⣿⣷⣶⣄⠀⠀⠀⠀⠀⠘⢿⡝⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠠⠜⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡟⠀⠀⢀⠀⠀⠻⠏⢩⣿⣷⣦⣀⠀⠀⠀⠀⠁⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⣠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠿⢿⣿⣿⠟⠁⠀⠀⠀⠛⠀⠀⢀⣿⣿⣿⣿⣿⣷⣤⣀⣀⣀⣀⢻⡀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣤⣶⣶⣶⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡌⠀⠀⢀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⢉⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠿⢿⣿⣿⣿⣿⣆⠀⠀⣤⣼⡿⢿⡿⠇⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⠟⠟⠛⠉⠙⣿⣿⡿⠛⠿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡿⠿⠛⣿⣀⣾⣿⣿⣷⣴⣦⣀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣧⣀⡀⠀⠀⠀⣿⣿⣧⣀⣤⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠟⠿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠸⢿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠿⢋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢠⣄⠈⠛⠻⢿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⠃⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠈⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡿⣻⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠈⣿⣿⣶⣤⡀⠉⠻⢿⣦⣀⠠⣿⣿⣿⣿⣿⠀⠀⠀⣼⣿⣿⡿⠁⠀⠀⠀⠙⠛⢿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣿⣿⣿⣟⣻⣷⠂⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⢰⣿⣿⣿⠀⠀⢰⣶⣿⣿⣿⣿⠟⠋⠋

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⠋⠉⠀⠀⠀⠀⠀⣿⣿⣿⠟⠁⠀⠛⠛⠉⠁⠀⠀⢀⣼⣿⣿⣿⠋⠀⠀⠀⠀

⣶⣤⣾⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣹⠿⠻⠿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠈⠛⠋⠀⠀⠀⢀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⣤⣤⣴⣿⣿⣿⣿⠋⠑⠀⠀⠀⠀

⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⢀⣀⣀⣀⣀⣀⣘⠛⠁⠀⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣀⣀⣀⣤⣶⢳⢤⢀⡀⢸⣿⣿⣿⣷⣦⣄⣤⣾⣿⣿⡿⠿⣿⣿⡿⠃⠀⣠⣶⣄⣀⣀

⣿⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠿⠿⠿⢿⣿⣶⡄⢰⣿⣿⣿⢿⣿⣿⣿⣿⢸⣿⣿⣿⡿⠿⠿⣿⣿⠃⠊⢹⡇⠸⠋⠀⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣿⣷⣠⣾⣿⣿⣿⣿⣿

⠁⠀⠀⠀⠀⠀⠀⢀⣡⣴⣶⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⠀⣽⣿⣿⣄⣿⣿⣯⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠰⠇⠀⠀⢀⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⠀⠀⠀⠀⠀⠀⣠⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠹⣿⣿⣿⡛

⣿⣶⣶⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣷⡄⣀⣠⣤⣾⣿⣿⣿⣦⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠉⢿⣿⣿

⠟⠃⠈⠙⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣀⠀⣿⣿⡇⠀⢸⣿⣿⠀⣤⣾⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠉⠀

⣶⣄⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⡇⠀⢸⣿⣿⣾⣿⣿⣿⣿⡇⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀

⣿⣿⣄⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠂⠘⠛⠛⠙⢿⣿⣿⣿⣷⡄⠀⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀

⣿⣿⣿⣷⡀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⣀⣸⣿⣿⣿⣿⣷⣦⣄⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡈⠙⠻⠛⢿⣿⣿⣿⡿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀

⣿⣿⣿⣿⣷⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠈⢻⣿⣿⡇⣴⣦⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄

⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠈⠛⡛⠻⣿⣿⣿⣧⡈⠙⠻⠆⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣤⣴⣾⣦⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⣿⣿⣷⣶⣦⣌⡛⠋⠀⠘⠃⠀⠹⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⢿⣿⢻⣿⣿⣿⣿⣶⡄⠀⠀⠀⠀⣸⣿⣿⣿⣿⡿⣿⣿⣿⣿⠟⢻⠟⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠚⠋⠙⠛⠿⢿⣿⣧⡀⠀⠀⠀⣸⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠘⠀⣼⣿⣿⣿⣿⣿⣿⠀⠀⠀⢀⣈⠙⠿⢿⣿⡳⠻⠛⠋⠀⠀⣾⣷⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⣽⣿⢃⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠘⠛⢻⣿⣿⣿⣿⣿⡄⠀⠀⣸⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣦⣾⣿⠿⠋⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣶⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⢻⣿⣿⣿⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⡆⢸⣿⣿⣿⣿⣿⣿⡿⠃⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⡿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣷⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡿⠁⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⡟⢻⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⡄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⠁⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿

⣿⠁⠀⢼⣿⣿⣿⣷⣄⠀⠀⢀⣠⣶⣶⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣷⠀⠀⠈⠋⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿

⡿⠀⠀⢸⣿⣿⣿⣿⣿⣷⣶⡿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿

⠀⠀⢀⣠⣶⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⡆⠀⠀⠀⠀⠸⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⡁⠀⠀⠀⠀⠀⢸⣿⡟⠛⠛⢿⣿

⣴⣾⣿⣿⣿⣿⠿⠹⠷⠶⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣷⡀⠀⠀⠀⠀⠈⢹⣥⠀⠀⣰⣿

[39A⠀⠀⠀⢠⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣀⣠⡄⠀⡀⠀⠀⠀⣀⣤⣤⣤⣤⣄⣀⠀⠀⠀⠀⢀⣀⣤⣤⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣦⡀⠰⣿⣿⣿⣿⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢸⠇⠀⠙⢿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠈⣿⣿⣿⣿⣿⣿⢤⣾⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠉⠛⠛⠿⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣾⣿⣿⡿⠛⠉⠉⠉⣿⣿⣿⣶⣄⠀⠀⠀⠀⠈⠿⠌⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢠⣤⡄⠙⠁⣨⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⣀⠈⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⢀⣠⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣲⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠉⠀⠀⣠⣿⣿⣿⣿⣿⣿⣶⣤⣤⣤⣤⣹⡀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⣰⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠐⢿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣦⠀⠀⠀⠀⠻⠿⠻⢿⣿⣿⠃⠸⠇⠀⠀⠀⠀⣼⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣦⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⣴⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠻⠿⢿⠿⠛⢻⣤⣀⣠⣤⡀⢐⣦⣴⣿⡟⠀⠀⠀⠀⠀⠀⣸⣿⣿⡟⠋⠉⠀⠀⠀⣿⣿⡇⠈⢙⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠘⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⢰⣿⣿⣿⣿⣦⣤⣀⣀⣴⣿⣿⣷⣴⣿⣿⣿⠀⠀⢠⣿⢏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⠟⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠃⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣶⣄⡀⠉⠛⢿⣿⣯⡉⠉⢻⣿⣿⣿⣿⣿⠀⠀⠀⣰⣿⣿⣿⠟⠛⠛⠛⠿⣿⣿⣿

⣿⣿⣿⡇⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣀⠀⠀⢘⣿⣿⣳⣤⡀⠈⠛⠛⠂⠘⣿⣿⣿⣿⡇⠀⠀⢠⣿⣿⡟⠁⠀⢀⣠⣤⣤⣴⣯⣿

⠛⠋⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣼⣿⠯⠓⠁⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⠀⠀⠤⠾⣿⠿⠃⠀⠀⣸⣿⣿⡿⠋⠛⠋

⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡏⠹⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡟⠁⠀⠀⠀⠀⢀⠀⠀⢠⣾⣿⣿⡿⠓⠀⢀⠀

⠀⠀⢰⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⢀⣀⣀⣀⣀⣀⣀⣠⣶⡿⠀⣀⣀⣀⣈⣻⣿⣿⣿⣿⣿⣿⣿⣧⣄⣀⣀⡀⠢⠘⠀⠀⠀⠀⣰⣿⣿⣧⣄⡀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⠇⠀⢀⣄⠀

⠀⠀⠀⣷⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡏⠀⢸⣿⣿⠿⠿⠿⢿⣿⣿⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⠃⠐⠀⠀⢀⣾⣿⡿⠙⣿⣿⣿⣿⣿⣿⣿⣏⣁⣉⣹⣿⣇⢠⣤⣾⣿⣿

⠀⠀⠀⠉⠁⠀⠀⠀⣠⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⠀⢹⣿⣷⣀⣿⣿⡇⠈⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠈⡿⠏⠀⠀⣿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡼⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⣀⣼⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡁⠘⣿⣿⣿

⣤⣴⣶⣶⣤⣤⣤⣤⣴⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣷⡄⠀⠀⠀⢀⣴⣿⣿⣿⡀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡘⢻⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣄⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⢀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢻⣿⣿⣿⣿⣷⣦⣾⣿⣿⣿⣿⣿⡏⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠙

⣉⡉⠁⠀⠉⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣿⣿⡇⠀⢸⣿⣿⣤⣴⣿⣿⣿⣿⡟⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀

⣿⣿⣦⡀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣼⣿⣿⣿⣿⣿⣿⣿⣿⣇⡀⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⡛⣿⣿⣿⣿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀

⣿⣿⣿⣷⡀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣶⣾⡿⢿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⣹⣿⣿⣿⣿⣿⣿⣿⢹⣷⡄⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣯⡸⠟⠫⠕⠙⠁⠀⠉⠙⢿⣿⣿⣿⡇⣠⡄⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⠛⠻⣿⣯⠀⠚⠿⠟⠉⠁⠻⣿⣿⣿⣿⣿⣿⡀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣄⠸⠟⠀⠀⠀⠀⠚⢷⣄⠙⢿⠟⠃⠹⠋⠀⠻⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⣶⣍⢹⣿⣿⣿⣿⣦⣌⠉⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⡄⠀⠀⠘⣿⣿⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣷⣆⠀⠀⠀⠀⢀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠈⡉⠀⣿⣿⣿⣿⣿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⠄⠀⠀⠘⢿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣇⢀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⢠⣴⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣉⣀⠈⠉⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢀⣶⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⠿⠟⢀⣠⣶⣷⡀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠹⣿⡿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠸⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⣤⣴⣾⣿⣿⣿⣧⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠰⣿⣇⣸⣿⣿⣿⣿⣿⣿⡿⠃⢸⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡂⠀⠀⠀⠀⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣧⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿

⣿⣿⣿⠋⢻⣿⣿⣿⣿⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⡆⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿

⣿⣿⠏⠀⣼⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⠃⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿

⣿⣿⣦⣾⣿⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣼⣶⣤⣀⡀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⡄⠀⠀⠀⠈⠸⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿

⣿⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⡿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⡄⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡇⠀⠀⠀⠀⠀⣿⣿⡟⠋⠛

⣿⡿⠿⣷⠿⢷⠄⠰⠶⠶⠖⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣷⠀⠀⠀⠀⠂⢹⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣷⡄⠀⠀⠀⠀⠈⢋⡀⠀⠀

[39A⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⡄⠀⠉⠁⣶⡟⢹⣽⣦⣤⣤⣤⣄⣀⡀⠀⠀⠀⠀⢀⠀⠀⠀⣀⣀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠛⠛⠛⠛⠛⠛⠛⠟⠿⠿⠿⠛⠛⠓⠒⠶⠾⠛⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠈⣿⣿⣧⣤⣿⣿⣿⣇⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⠹⡟⠙⢿⣿⣿⣿⣿⡇⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠈⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠛⠿⢿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠛⣿⣿⣶⣦⡀⠀⠀⠀⠀⠘⢿⡝⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠈⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⣀⡀⠿⠏⠉⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠛⠋⠀⠀⣾⣿⣿⣿⣿⣿⣦⣀⣀⣀⣀⠛⡀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⣠⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⡄⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⣰⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣦⡀⠀⠀⠀⠸⠻⢿⣿⣿⣿⣿⣿⡟⠀⣿⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠀⠀⣠⣌⣿⣿⣿⣿⣿⣿⣿

⠀⠀⣀⣀⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⠛⠉⣠⣷⣆⠀⠀⣠⣶⣾⣿⣿⣿⣿⣿⠀⠀⠁⠀⠀⠀⢰⣿⣿⣿⠿⠛⠛⠀⠘⣿⣿⡟⠙⠻⣿⣿⠀⠀⠀⣿⡏⣿⣿⣿⣿⣿⣿⣿

⣀⣾⣿⣿⣶⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡦⠀⠀⠀⠀⢀⣾⣿⣿⣿⣤⣤⡀⠀⣀⣿⣿⣧⣤⣾⣿⣿⠀⠀⠀⣿⡇⣿⣿⣿⣿⣿⣿⣿

⣿⣿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⡋⣿⣿⣿⣿⣿⣿⣿⣿

⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⡛⠙⢻⣿⣿⣿⣿⣿⠀⠀⠀⢠⣿⣿⣿⡿⠿⠿⠿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⢰⣦⡀⠈⠙⢿⣿⠿⠷⠖⠘⣿⣿⣿⣿⡟⠀⠀⢠⣿⣿⣿⠋⠀⠀⢀⣠⣤

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣧⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⣀⣼⣿⣿⠇⠀⠀⢀⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⠀⠀⣀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⢀⣤⣶⠄⠀⠰⠶⠆⠀⠰⣿⣿⡿⠋⠀⠀⢉⡉⠀⠀⠀⠀⣰⣿⣿⣿⡿

⠀⠀⠀⠀⠀⠀⠰⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣦⣀⣀⣀⣀⣀⠀⠀⠀⣠⣌⣀⣀⣉⣁⣀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⠈⠛⢿⠁⠀⠀⠀⠀⠀⢀⣿⣿⣧⣀⠀⣰⣿⣷⣶⣶⣶⣾⣿⣿⣿⡟⠀

⠀⠀⠀⠀⠀⠀⢠⣾⣧⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⢿⣿⣷⡄⠛⣿⣿⡿⠿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢠⣾⣿⡿⠋⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⢻⣿⡉⣠⣀

⠀⠀⠀⠀⠀⠀⠀⠙⠋⢠⣤⡀⠀⠀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⢹⣿⣿⠀⣿⣿⡇⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⢸⣿⠟⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣶⣾⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣼⣿⡟⢠⣿⣿⣷⣦⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠜⠁⠀⠀⣴⣿⡇⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠙

⠀⠀⠀⠀⣹⣶⣿⣷⣄⣠⣿⣿⣿⣿⡟⠀⣿⣿⠉⣿⣿⣿⠉⢿⣿⣿⣿⣿⣿⡿⠿⠛⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣌⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⢀⣤⣾⣿⣿⡀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶

⠀⣾⣿⣿⣿⣿⣿⣿⣿⣉⣠⣿⣿⣿⡇⠀⠄⠀⠀⣿⣿⡇⠀⢹⣿⣿⠋⠀⠀⠀⠀⣀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣼⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣶⣴⣾⣿⣿⣿⣿⣿⡟⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠸⣿⣿⠛⢹⣿⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢹⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⣀⣿⣇⡀⠀⠀⠀⠈⠻⣿⣿⣿⣿⡇⠀⠀⠀⠀⠛⠛⠃⠀⠘⠛⠛⠀⠀⠀⠿⣿⣿⣿⣿⣛⠛⠃⠙⢿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⡿⠁⠀⠀⢿⡯⠙⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠈⠁⢰⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⣼⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⣴⡄⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⢹⣿⣆⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠘⠃⠀⠀⠙⣿⣿⣿⡏⣀⡀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣏⠀⠀⠁⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠰⢿⠃⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡇⢸⣿⣿⣆⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠰⣆⡈⢻⠟⠋⠹⠟⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣆⡀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⡇⢸⣿⣿⣿⣄⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⢻⣿⣿⣦⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡃⣼⣿⣿⠿⠿⡆⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠈⢻⣿⣿⣇⣀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⢐⣿⣭⣷⡄⠀⢀⣀⡀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣿⢿⣿⣆⠀⠀⠀⠀⠀⠀⠈⢻⡏⢸⣿⠛⠋⣡⣴⣿⣿⣇⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠈⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠁⠀⣿⣷⣿⣿⣿⣿⣿⣿⡄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡿⠿⠟⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⠁⠀⠀⣿⣿⣿⣿

⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣆⠀⠈⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⡀⠀⠀⠸⣿⣿⣿

⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢙⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠙⣻⣿⣿⣿⣷⣄⠀⠀⢿⣿⣿

⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⡄⠀⠀⠀⠀⠀⢸⣿⡿⣿⣿⣶⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠙⠿⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣷⣦⣸⣿⣿

⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠁⠀⠀⠀⠀⠀⠈⣻⣧⣿⣿⣿⣿⣶⣶⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣷⡀⠀⣴⣤⣄⠀⠀⠀⠹⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠿⠋⠀⢸⣿

⠀⠶⠶⣶⠿⢶⠄⠰⠶⠶⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠉⠉⠁⠀⢹⣿⣿⣿⣶⣆⠀⠘⣿⣿⣿⣿⣿⣿⣷⡦⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⢹

[39A⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⡄⠀⠉⠁⣴⡟⢻⣽⣦⣤⣤⣤⣄⣀⡀⠈⠀⠀⠀⣀⠀⠀⠀⣀⣀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠉⠙⠉⠛⠛⠛⠛⠛⠛⠛⠛⠟⠿⠿⠿⠟⠛⠓⠚⠲⠾⠛⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠈⣿⣿⣧⣴⣿⣿⣿⣇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⡄⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠃⠀⠈⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠛⠿⢿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⣿⣿⣶⣦⡀⠀⠀⠀⠀⠘⣿⡟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠁⠀⠀⠀⠀⠈⠀⠀⠀⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠁⠀⣀⡀⠿⡏⠉⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠛⠋⠀⠀⣾⣿⣿⣿⣿⣿⣦⣀⣀⣀⣀⠛⡀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⣠⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⡄⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⣰⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣦⠀⠀⠀⠀⠸⠻⢿⣿⣿⣿⣿⣿⡟⠀⣿⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⣠⣌⣿⣿⣿⣿⣿⣿⣿

⠀⠀⣀⣀⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠿⠛⠉⣨⣷⣆⠀⢀⣠⣶⣾⣿⣿⣿⣿⣿⠀⠀⠁⠀⠀⠀⢰⣿⣿⣿⡿⠛⠛⠀⠘⣿⣿⡟⠙⠻⣿⣿⠀⠀⠀⣿⡟⣿⣿⣿⣿⣿⣿⣿

⣀⣾⣿⣿⣶⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⢠⣾⣿⣿⣿⣤⣤⣀⠀⣀⣿⣿⣷⣤⣾⣿⣿⠀⠀⢀⣿⡇⣿⣿⣿⣿⣿⣿⣿

⣿⣿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⡏⣷⣿⣿⣿⣿⣿⣿⣿

⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⡛⠙⢻⣿⣿⣿⣿⣿⠀⠀⠀⢠⣿⣿⣿⡿⠿⠿⢿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⠀⠀⠀⢰⣦⡀⠈⠙⢿⣿⠿⠿⠆⠸⣿⣿⣿⣿⡟⠀⠀⢠⣿⣿⣿⠋⠀⠀⢀⣤⣤

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⠘⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⠁⠀⣀⣼⣿⣿⠷⠀⠀⢀⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⠀⠀⣄⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⢀⣤⣴⡀⠀⠒⢶⡆⠀⢸⣿⣿⡿⠋⠀⠀⢉⡍⠀⠀⠀⠀⣴⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠰⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣦⣀⣀⣀⣀⣀⠀⠀⠀⣀⣄⣀⣀⣉⣀⣀⣘⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠌⠻⠿⠀⠀⠀⠀⠀⠀⢈⣿⣿⣧⣀⠀⣰⣿⣷⣶⣶⣶⣿⣿⣿⣿⡯⠀

⠀⠀⠀⠀⠀⠀⢀⣾⣧⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⢿⣿⣷⡌⠻⣿⣿⡿⠿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⠋⣿⣿⣿⣿⣿⣿⣿⣿⡋⠉⣻⣿⡋⣠⣀

⠀⠀⠀⠀⠀⠀⠀⠙⠛⢠⣤⡀⠀⠀⣤⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⢹⣿⣿⠀⣿⣿⡇⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⢸⣿⠟⠁⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣶⣾⣿⡬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣼⣿⡟⢠⣿⣿⣷⣦⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠘⠁⠀⠀⣴⣿⡇⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠉

⠀⠀⠀⠀⣻⣶⣿⣷⣄⣠⣿⣿⣿⣿⡏⠀⣿⣿⠉⣿⣿⣿⠉⣿⣿⣿⣿⣿⣿⡿⠿⠛⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣌⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⢀⣤⣾⣿⣿⡀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶

⠀⣾⣿⣿⣿⣿⣿⣿⣿⣉⣠⣿⣿⣿⡇⠀⠃⠀⠀⣿⣿⣇⠀⢿⣿⣿⠋⠁⠀⠀⠀⣀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣼⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣶⣴⣾⣿⣿⣿⣿⣿⡟⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⢸⣿⣿⠛⢹⣿⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⣀⣿⣇⡀⠀⠀⠀⠈⠻⣿⣿⣿⣿⡇⠀⠀⠀⠀⠛⠛⠃⠀⠘⠛⠛⠀⠀⠐⠻⣿⣿⣿⣿⣛⠛⠃⠙⢿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⡿⠁⠀⠀⢿⡇⠛⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠘⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠈⠁⢰⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⣾⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⣴⡂⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⢹⣿⣆⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣷⣆⡀⠀⠀⠀⠀⠈⠃⠀⠀⠙⣿⣿⣿⣏⣀⣀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣏⠀⠈⠁⠀⠀⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠺⢿⠁⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡇⢸⣿⣿⣆⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⢰⣆⡈⢻⠟⠉⠻⠟⠀⠹⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣆⡈⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⡇⢸⣿⣿⣿⣄⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⢻⣿⣿⣦⠀⠀⠀⠀⠀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡇⣼⣿⣿⠿⠿⡇⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⢿⣿⣿⡇⣀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⢰⣿⣭⣿⡄⠀⢀⣤⡀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣿⢿⣿⣇⢀⠀⠀⠀⠀⠀⠈⢻⡟⢸⣿⠛⠋⣡⣴⣿⣿⣇⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠈⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠁⠀⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⠋⠙⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⠿⠿⠟⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⠁⠀⠀⣿⣿⣿⣿

⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⡀⠀⠀⠸⣿⣿⣿

⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣙⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠙⣻⣿⣿⣿⣷⣄⠀⠀⢿⣿⣿

⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⡄⠀⠀⠀⠀⠀⢸⣿⡿⣿⣿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣷⣦⣸⣿⣿

⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠇⠀⠀⠀⠀⠀⠈⢻⣧⣿⣿⣿⣿⣶⣦⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣷⡀⠀⣶⣦⣄⡀⠀⠀⠻⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠿⠋⠁⢸⣿

⠀⠶⠶⣶⠿⢶⠄⠰⠶⠶⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠉⠁⠀⢹⣿⣿⣿⣶⣔⠀⠉⣿⣿⣿⣿⣿⣿⣷⡦⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⢹

[39A⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⣿⣿⣿⣷⣶⣤⣤⣄⠀⠀⠀⡀⣀⠀⠀⠀⠀⠀⣀⣀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠛⠛⠛⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠁⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠘⣿⣿⣷⣿⣿⣿⣿⣿⣿⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠋⢹⣿⠛⢿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠃⠀⠘⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠻⢿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡇⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⢻⣿⣿⣷⣦⡀⠀⠀⠀⠀⠙⢿⡟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣨⠀⠀⠀⠀⠀⠈⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⢀⣤⣼⡿⡏⣹⣿⣿⣦⣤⡀⠀⠀⠀⠀⠀⡈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠈⠛⠋⠀⢠⣿⣿⣿⣿⣿⣿⣦⣤⣤⣤⣜⣳⡀⠀⠈⢿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⡟⠈⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⣿⣿⣿⣿⣿⣿

⢀⣴⣦⡀⠀⠀⠀⣠⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⢄⡀⠀⠀⠀⠻⣿⠁⠀⣿⣿⣿⣿⣿⠏⢸⡇⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⢀⣤⣸⣿⣿⣿⣿⣿

⢿⣿⣿⢿⠀⠀⠀⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠚⠉⣠⣼⣿⣤⠀⠀⣤⣿⣄⣀⣿⣿⣿⣿⣿⠀⠀⠁⠀⠀⠀⣸⣿⣿⣿⠟⠛⠉⠀⢻⣿⣿⡏⠙⢻⣿⣧⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿

⣼⣿⠏⠀⠀⠀⠠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⢰⣿⣿⣿⣿⣦⣤⣄⣀⣼⣿⣿⣷⣶⣿⣿⣧⠀⠀⢰⣿⢸⣿⣿⣿⣿⣿

⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠐⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⠉⣿⣿⣿⣿⣿⣿

⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⡿⠿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢛⠋⠁⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⡉⠙⣿⣿⣿⣿⣿⡟⠀⠀⠈⣰⣿⣿⣿⡿⠿⠿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⢖⣾⣿⣿⣿⠏⠀⢤⠺⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣀⡀⠀⠀⠈⠛⢿⣿⣿⡿⠿⠟⠛⢻⣿⣿⣿⣿⠇⠀⠀⢰⣿⣿⣿⠋⠀⠀⢀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣸⣿⣿⣿⡯⠀⠀⠀⠙⠿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⠏⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠘⣿⡏⠀⠀⠀⠀⢰⣿⣿⣿⣿⠀⢀⣤⣾⣿⡿⡿⠀⠀⢀⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡟⢱⣶⣶⣴⠀⠀⠀⠘⠻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠀⢸⣦⣽⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣟⣠⣶⡆⢸⡟⠻⠿⢿⠷⠄⢸⣿⣿⡟⠁⠀⠈⠁⠀⠀⠀⠀⠀⣠⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⡇⠈⣿⣿⣿⣷⣦⣄⠀⢀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⣀⣝⣀⣘⣉⣙⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠃⠀⠀⠂⠀⠀⠀⢀⣸⣿⣿⣧⣤⣤⡀⠀⢀⣴⣶⣶⣾⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⣿⣿⢁⣿⣿⣿⠂⢸⣿⣿⠿⠿⠿⢿⣿⣷⡄⠈⣿⣿⡿⠿⠿⠿⠿⣿⣨⣿⣿⣿⠿⠿⠿⣿⣿⣿⣿⡎⠀⠀⠀⠀⠄⠒⣴⣿⣿⡿⠛⣿⣿⣿⣿⣶⣾⣿⣿⣛⣉⣙⣿⡛

⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⣿⣲⢔⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⠀⢹⣿⣿⠀⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠹⣿⣿⣿⣷⡄⠀⠀⠀⠀⠡⣿⣿⠟⠀⠀⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⢀⣀⣀⣿⣿⣿⣿⣿⡇⠀⡿⠷⠸⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⣀⣼⣿⡟⠀⣿⣿⣧⣤⣤⣄⣤⣾⣿⣿⣿⣿⣶⣦⣤⣰⣿⣿⣿⣿⣿⣦⡀⠀⠠⠐⠟⠁⠀⢀⣾⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⣀⣀⣸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢀⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⠿⠛⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⣀⣴⣿⣿⣿⣀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⢸⣿⣿⣿⣿⡿⠟⠻⣿⣿⡿⠀⠀⢁⣀⡈⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⠉⠈⠀⠀⠈⣿⣿⣿⢿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⡟⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⢈⣿⡏⠉⠀⠀⠀⠀⠀⠉⠀⠀⠀⣿⣿⣿⣿⣿⣇⠀⢸⣿⣿⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⡏⠻⣿⣿⣿⣿⣿⣿⣷⣦⣤⣤⣶⣿⣿⠇⠀⢿⡟⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠛⣿⣿⣿⣿⣿⡃⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⡛⠋⠁⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣇⣤⡀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠈⣿⣿⠿⣿⣿⣿⣿⣿⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⣀⢈⢻⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠙⣧⣄⠘⢿⣿⣿⣇⣠⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠈⠿⠿⠾⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⢸⣿⣿⣿⣿⡏⢹⣿⣿⣿⡀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠘⣿⣷⣞⣿⠋⠀⠛⠋⠀⠻⠛⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠠⢶⣎⠙⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⢿⣿⣿⣿⡇⢸⣿⣿⣿⣷⡄⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠘⠻⣿⣿⣧⡀⠀⠀⠀⢰⣀⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⣰⡇⠀⠀⠀⠀⠘⠉⢀⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠸⣿⣿⣿⡇⢸⣿⢿⠟⠛⢳⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠹⣿⣿⣷⣤⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠛⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⢻⣿⣿⡇⢸⣿⣿⡗⠀⣠⣾⣆⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠙⠿⠇⢻⣏⣠⣴⣿⣿⣿⣿⡄⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡏⠈⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⡅⠘⣿⣿

⣿⣿⣿⣿⣿⣿⡿⠃⠀⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⢹⡟⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⡿⠁⠀⠀⠀⠏⡛⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠋⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠘⢿⣻⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⡿⠀⠀⠀⠀⠀⠁⠘⠾⠿⣿⣷⣤⠀⠀⠀⠀⠀⠀⢶⣶⣶⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠈⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⡿⠿⢿

⣿⣿⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣇⠀⠀⠀⠀⠀⠸⣿⣟⣿⣿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⡀⠀⠀⠀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⢸⣿⣿⣿⣇⠀⠸

⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣷⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⡄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⢀⣼⣿⣿⣿⣿⡄⠀

⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢛⠛⠛⠛⠛⠻⠿⠟⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⡷⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠉⠉⣘⣿⣿⣿⣿⣿⣷⠀

⣿⣿⣶⣶⣿⣷⣶⣶⣶⣶⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠋⠉⠁⠀⠀⠀⠀⠠⣘⣿⣿⡿⣻⣿⡏⠀

[39A⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⣴⣿⣿⣿⣿⣿⣿⣿⣀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⣠⣶⡄⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣦⡄⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⢠⣿⣿⠿⣿⣿⣿⣿⣿⣿⡆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⣨⣯⠁⠀⠻⠇⠙⣿⣿⣿⣿⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠟⠀⠀⢀⡀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⣀⣤⠀⣸⣿⣿⡟⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣤⣀⠀⠀⠉⠛⠉⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠿⠛⠀⣿⣿⣿⡟⠀⢸⣿⣿⣿⣿⣿⣿⣿⡿⠏⠁⠀⠀⣹⣿⠿⣿⣷⣄⡀⠀⠀⠀⠈⠛⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠾⡿⠋⠙⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢴⠀⠀⠙⢿⣿⣿⣿⣿

⣷⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⠃⠀⢸⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣦⠀⠀⠈⢻⣿⣿⣿

⣿⣿⣿⡆⠀⠀⠀⠀⠀⢀⣼⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⠇⠀⠀⢸⣿⣿⣿⣿⣿⠇⣠⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠃⠀⠀⢈⣿⣿⣿

⣻⣿⣿⠀⠀⠀⠀⠀⠀⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠀⠾⣿⡀⠀⠀⢸⣿⣿⣿⣿⡏⠀⠻⠀⠀⠀⠀⣾⣿⣿⣿⡿⠿⠛⢻⣿⣿⣿⠿⣿⣿⣿⠃⠀⠀⣿⣧⣿⣿⣿

⣿⣿⡃⠀⠀⠀⠀⠀⢠⡝⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣦⣬⣿⣦⣀⣀⣸⣿⣦⣄⣸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣸⣿⣿⣿⣉⠀⠀⠀⢈⣿⣿⣧⣀⣸⣿⣿⠀⠀⠀⣸⣿⣿⣿⣿

⣿⣿⣿⡷⠀⠀⠀⠀⠉⠀⠀⢀⣤⣾⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢚⣉⣚⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⡿⢧⣿⣿⣿

⣿⣿⠏⠁⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⡟⠉⣹⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠭⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⠃⠀⠀⠀⣼⣿⣿⣿

⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⡉⢠⣼⣿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣷⣤⠸⣿⣿⣿⣿⣿⠀⠀⠀⣼⣿⣿⣿⣿

⡿⠁⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣋⠁⢀⣠⣴⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⠀⠀⢻⣿⢿⣿⣿⠋⠁⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⢰⣿⣿⣿⠏⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣇⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⢸⣿⣿⣿⢟⣤⣶⣶⠀⢠⣿⣿⣿⡿⠃⠀⠻⠟⠛⠛⠛⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠃⠀⣰⣾⣿⣿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠈⠛⠙⠀⠀⠀⠉⠉⠀⠀⣿⣿⣿⣁⠀⠀⠀⠀⠀⣀⣀⣀⣀

⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⠟⢿⣿⠃⣀⣀⡀⠀⢀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⣀⣀⣄⣀⣀⣉⣉⣋⠁⠀⠀⣀⣨⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⡿⢿⣿⣷⣤⣄⣀⣾⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⢾⠃⠀⣿⣿⡇⠀⢸⣿⣿⠿⠿⠿⢿⣿⣷⡄⠀⣿⣿⡿⠿⠿⠿⠿⠟⢀⣴⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⢸⣿⣿⠏⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤

⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⡿⢿⣿⣿⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⠀⢹⣿⣿⠀⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⠁⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠐⠟⠁⠀⢠⣾⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣆⣠⡄⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⣀⣼⣿⡟⠀⣿⣿⣧⣤⣤⣤⣀⡀⠚⢿⣿⣿⣶⣮⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣷⡄⠀⠀⠀⠀⠀⣰⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿

⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣄⡀⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⠿⠛⠀⠀⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠉⠛⠿⠿⣿⣿⣿⣿⣿⣿⡇⠘⣿⣿⣿⣿⣦⣀⣠⣶⣿⣿⣿⣿⣷⢾⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⠟⠀⠀⠀⢀⣀⣤⣤⣤⣤⣤⣀⣼⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⢀⣠⣿⣿⣿⠋⢿⣿⣿⣿⣦⡄⠀⠀⠀⠀⠀⣿⣿⣿⡿⠟⠃⠀⠘⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣻⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣟⠀⠀⠉⠻⣿⣿⣿⣶⣤⣤⣤⣾⣿⣿⠃⠀⠀⠀⠘⢂⠀⠘⠻⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢹⣿⣿⣿⣿⣿⣿⣿

⣀⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠂⠀⠀⠀⠀⠘⣿⣿⣿⣿⡇⣀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⠋⠁⠀⠀⠀⠀⠀⠀⢻⣦⡀⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠘⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠁⠀⢙⢿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠙⢿⣿⣿⣿⣿⣷⣶⣄⠀⠀⠀⠀⠀⠻⢿⣿⣦⣈⠉⠙⣿⣿⣿⡿⠁⡀⠀⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢌⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠈⠻⣿⣿⣷⣄⠘⢿⣿⠇⢸⣿⠂⢻⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⢹⣿⣿⣿⣯⣿⣿⣿⣿⣷⡀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣷⣥⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠓⠀⢀⣿⡻⢿⣿⣿⠀⠀⠀⠀⠀⠈⣿⣿⣿⡇⣿⣿⣿⣿⠟⠻⡄⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠉⠿⣿⣿⣿⣧⣀⡀⢀⣤⣴⣾⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⣾⣿⣷⣤⣉⡛⠃⠀⠀⠀⠀⠀⠘⣿⣿⡇⣿⣿⣿⣷⡄⠀⣨⣦⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠘⢿⠇⣿⣿⠟⠋⣠⣾⣿⣿⣧⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⡖⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⣿⡿⠿⠻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠹⣧⣄⠀⠀⠀⠀⠀⠀⢸⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠸⠁⠀⠹⢿⣿⣿⣿⣿⣿⣿⣷⣶⣄⡀⠀⠀⠀⠀⠀⠻⠟⠸⣿⣿⣿⣿⠟

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠨⠟⠇⠀⠀⠀⠀⠀⠈⢿⣿⣷⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⡠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣷

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠹⣿⣿⣿⣿⣆⠀⠀⠠⠀⠀⠀⠀⠀⠀⠈⢉⣹⣾⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣄⠀⠀⠀⢠⣩⣽⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣀⣠⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠂⢿⣿⣿⡏⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣷⡀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⢛⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠉⠹⢧⣠⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠿⠿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣧⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠿⠁⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿

⣿⣿⣿⠿⢿⣿⣿⣿⡿⠀⠀⠀⠀⠀⣀⣾⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣶⣦⣤⠀⠀⠀⢀⣰⣿⣿⣿⡟⠉⠉⠉

⣿⠿⠷⣶⠿⣿⣿⠿⠶⠶⠶⠀⠀⠀⡺⣹⣿⣿⣿⣶⡇⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣻⣿⣷⣶⡀⠀

[39A⠿⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⣤⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⢀⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⢀⣀⣀⣀⣤⣄⣀⢀⣼⣿⣴⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⠿⠿⣿⡿⣿⣿⣿⣿⣇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⣴⠀⠀⠺⠇⠀⠀⢻⠁⠘⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠀⠀⣀⡤⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⢠⣤⣦⠀⣼⣿⣿⡟⠀⠨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠻⣿⣿⣦⣤⡀⠀⠀⠉⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠟⠋⠀⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⢀⣀⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠈⠉⠂⠈⠻⠿⣿⣿⣿⣿⣿

⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣨⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠛⠟⠁⠀⣿⣿⣿⣿⣿⣿⣦⣄⣀⣀⣀⡾⡆⠀⠀⠻⣿⣿⣿

⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⡿⠀⠀⠀⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⡄⠀⠀⠹⣿⣿

⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⢠⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⠃⠀⠀⠀⣿⣿⣿⣿⣿⠃⣶⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠃⠀⢀⡀⣿⣿

⣿⣿⣿⠀⠀⠀⠀⠀⠀⢀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣦⠀⠀⢸⣿⡄⠀⠀⠀⣿⣿⣿⣿⡇⠀⠙⠀⠀⠀⢰⣿⣿⣿⡿⠛⠛⠉⠹⣿⣿⡿⠛⢿⣿⣿⠁⠀⠀⢸⣿⣿⣿

⣿⣿⣿⣆⣀⠀⠀⠀⠀⠀⠉⠀⠀⠀⢀⣤⣶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣦⣤⣼⣿⣷⣄⣨⣿⣿⣷⣦⣤⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⣼⣿⣿⣿⣤⣤⣀⣀⣼⣿⣿⣷⣤⣾⣿⣿⠀⠀⠀⣼⡏⣿⣿

⣿⣿⣿⡇⢹⠃⠀⠀⠀⠁⠀⠀⢀⣾⣿⣿⣿⠿⣿⣿⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠬⠿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⡟⢳⣿⣿

⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡟⠁⣴⣿⣿⠿⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⡟⠙⢻⣿⣿⣿⣿⣿⠃⠀⠀⢀⣼⣿⣿

⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣯⣤⣾⣿⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⠿⠿⠖⠚⣿⣿⣿⣿⣿⠀⠀⠀⣼⣿⣿⣿

⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣦⣤⣤⣶⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⡾⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡀⢠⣿⣿⠿⣿⣿⣅⠀⠀⠀⢀⣿⣿⣿⣿⡇⠀⣀⣰⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⢿⣿⣷⡿⠟⠻⢿⣷⡄⠠⣿⣿⣿⡿⠃⠀⠛⠛⠋⠉⠉⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠀⣸⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠈⠙⠛⠂⠀⠀⠀⠀⠀⢠⣿⣿⣧⣤⡀⠀⠀⠀⠀⣠⣤⣤

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⡿⠛⣿⣿⠃⢀⣀⡀⠀⢀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⣀⣀⣀⣶⣀⣀⣛⣛⠉⠁⢀⣀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⡟⢻⣿⣿⣶⣤⣤⣾⣿⣿⠿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠿⣿⣿⣿⡇⠀⠛⠁⠀⣿⣿⡇⠀⢸⣿⣿⠿⠿⠿⢿⣿⣷⡄⠀⣿⣿⡿⠿⠿⠿⠿⠿⢀⣴⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⢸⣿⣿⠋⠀⢸⣿⢻⣿⣿⣿⣿⣿⣷⣶

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⡇⠀⡀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⠀⢹⣿⣿⠀⣿⣿⡇⠀⠀⠀⠀⠀⢼⣿⣿⡁⠀⢹⣿⣿⣿⣿⣿⣿⡟⢿⣿⣿⣧⡀⠀⢠⣀⣸⠏⠁⠀⢠⣿⡟⢸⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢰⣿⡆⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⣀⣼⣿⡟⠀⣿⣿⣧⣴⣦⣤⣄⡀⠸⢿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⠘⣿⣿⣿⣿⣦⠀⠀⠀⠀⣀⣴⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿

⣤⣤⣤⣤⡀⠀⢀⣠⣴⣶⣶⣶⣶⡄⠀⣿⣿⣿⣦⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⠿⠛⠀⠀⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠉⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣷⡈⢿⣿⣿⣿⣷⣤⣶⣿⣿⣿⣿⣿⣿⠼⣿⣿⣿⣿⣿⣿⣿

⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣧⣀⣸⣿⣿⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣟⠉⢿⣿⣿⣷⡄⠀⠀⠀⠀⠈⣿⣿⣿⠿⠟⠋⢹⣿⡀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⣹⣿⣿⣿⣿⣿⣿

⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⡀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⠀⠀⠈⠙⢿⣿⣶⣦⣤⣤⣾⣿⣿⠃⠀⠀⠀⠘⢿⣷⡄⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿

⣠⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠘⢻⣿⣿⣿⣇⣤⡀⠀⠈⠙⣿⣿⣿⣿⣿⠋⠁⠀⠀⠀⠀⠀⢸⣿⣿⣦⡀⠘⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⣶⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠘⢿⣿⣿⣿⣷⣶⣄⠀⠀⠀⠀⠰⢿⣿⣿⣿⣶⡄⠀⠈⢿⣿⣿⣿⠀⣠⠀⢻⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠈⠿⢿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠻⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣶⣦⣀⡹⠿⠋⠀⠿⠁⠈⠿⢿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠠⢻⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠇⢸⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠹⣿⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠻⣿⣿⡇⣿⣿⣿⡿⠟⠻⣄⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠉⢿⣿⣿⣿⣿⣿⣄⣀⣤⣴⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⢻⣿⣤⣉⡿⠿⡦⠀⠀⠀⠀⠀⠀⣿⣿⡇⣿⣿⣿⣷⠆⢀⣵⣦⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠻⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠈⢻⠇⣿⣿⠋⣁⣴⣿⣿⣿⣇⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠙⢿⣿⣿⠙⠂⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠿⢿⣦⡀⠀⠀⠀⠀⠀⠀⢹⡟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠈⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣦⡄⠀⠛⠻⣦⠀⠀⠀⠀⠀⠸⣷⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠸⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠈⠻⠋⠘⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠿⢟⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⠃⠀⠀⠀⢀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠉⠛⠿⣆⣤⣾⣆⡀⠀⠄⠀⠀⠀⠀⠀⠀⣶⣾⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣆⠀⠀⠀⢸⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣄⣸⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⢹⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣷⡀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⢉⣿⣿⣿⣿⣿⣿

⣿⣿⡃⠈⢻⣿⣿⡟⠀⠀⣄⣀⣤⣶⣾⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣧⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠋⣠⣤⣤⣦⣺⣿⣿⣿⣿⣿⣿

⠿⠟⠀⢀⣾⣿⣿⣿⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⢠⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣶⣦⣼⠙⣿⣿⣿⣿⣿⣿⣿⡿⠟⠟

⠀⠀⠰⣾⣿⣿⣿⣿⡶⠶⠶⣿⣿⣿⣿⣿⣿⣿⣿⣿⢏⣿⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⠛⠻⣿⣇⣶⡀

[39A⠿⠿⠿⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⣀⣤⣤⣷⣤⣤⣀⣰⣿⣿⣧⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⢀⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠠⣿⡿⠟⢻⡛⢿⣿⣿⣿⣷⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⢰⡄⠀⠘⠟⠀⠀⠘⠃⠀⢻⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠙⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠃⠀⠀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⠀⣼⣿⣿⣿⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⣿⣿⣶⣶⣄⠀⠀⠀⠀⠙⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠀⢿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⣿⠟⠁⠀⣤⣴⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠉⠁⣀⠙⠿⢿⣿⣿⣿

⣿⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⠋⠀⠀⠀⠙⠛⠀⢠⣿⣿⣿⣿⣿⣿⣷⣤⣤⣄⣤⡿⡆⠀⠀⠹⣿⣿

⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⠇⠀⠀⢸⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⢹⣿

⠙⢿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠋⠀⠀⠀⢸⣿⣿⣿⡟⠀⣿⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠁⠀⣤⡌⣿

⢠⣾⣿⣷⡀⠀⠀⠀⠀⠀⠀⢠⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⡄⠀⢀⣾⣆⡀⠀⠀⢸⣿⣿⣿⡇⠀⠉⠀⠀⠀⢸⣿⣿⣿⣿⣿⠿⠋⢹⣿⣿⡟⠙⢿⣿⣿⠀⠀⠀⣿⣿⣿

⢠⣿⣿⣿⡇⠀⣤⠀⠀⠀⠀⡈⠁⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣦⣤⣤⣶⣿⣿⡀⢀⣿⣿⣿⣷⣤⣾⣿⣿⣿⣇⠀⠀⠀⠀⢠⣾⣿⣿⣿⣶⣤⣤⣠⣾⣿⣿⣿⣶⣾⣿⣿⠀⠀⢀⣿⡇⣿

⢻⣿⣿⣿⡇⠀⣿⠀⠀⠀⠀⠀⠀⢠⣴⣿⣿⣿⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠘⠏⢻⣿

⣸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⡿⠋⣹⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠙⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣏⡉⣻⣿⣿⣿⣿⣿⠀⠀⠀⢠⣿⣿

⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣯⣤⣾⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡍⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠿⠛⠛⠛⣿⣿⣿⣿⡿⠀⠀⢠⣿⣿⣿

⠙⠛⠻⠋⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣶⣦⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣄⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣼⣿⣿⠿⣿⣿⣥⣤⣀⠀⢺⣿⣿⣿⣿⡃⠀⣤⣼⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⠛⠻⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⠀⢀⡀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣿⣿⣿⠿⡿⡿⢿⠧⢸⣿⣿⡿⢿⡟⠀⠛⠛⠉⠉⠉

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠟⠀⠈⣻⣦⣶⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⠛⠛⠯⡾⠄⠀⠀⢀⣴⣿⣿⣷⣶⣄⠀⠀⠀⠀⣠⣤

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⡿⠛⡿⣿⡿⣁⡀⡀⠀⢀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⣀⣀⣀⣀⣴⣆⣀⣼⡿⠟⠛⣛⣿⣷⣴⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠞⠢⠄⢰⣿⣿⡿⠋⢻⣿⣿⣷⣦⣤⣼⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠿⠿⣿⣿⡷⠀⣀⡏⠁⣿⣿⡇⠀⢸⣿⣿⠿⠿⠿⢿⣿⣷⡄⠀⣿⣿⡿⠿⠿⠿⠿⠿⢀⣴⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣦⠀⠀⠀⠘⢹⣺⣿⡿⠁⠀⣸⡏⢹⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡷⠀⣽⣄⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⠀⢹⣿⣿⠀⣿⣿⡇⠀⠀⠀⠀⠀⢾⣿⣿⠁⠀⠘⣿⣿⣿⣿⣿⣿⣷⡸⣿⣿⣿⣷⣄⠐⠷⡶⠿⠋⠀⢀⣴⣿⡇⢸⣿⣿⣿⣿⣿⣿

⣷⠂⠀⠀⠀⠘⠁⠀⠀⠀⢀⡀⠀⠀⠀⠀⣿⣿⣇⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⣀⣼⣿⡿⠀⣿⣿⣇⣠⣴⣷⣤⡄⠈⢿⣿⣷⣶⣦⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣦⡀⠀⠀⣀⣤⣿⣿⣿⣇⠸⣿⣿⣿⣿⣿⣿

⣤⣤⣤⣤⣤⣄⣀⣤⣶⣿⣿⣿⣿⣷⡀⠀⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⠿⠛⠁⠀⣿⣿⡿⢿⣿⣿⣿⣿⣄⠀⠉⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡈⠿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⠤⢿⣿⣿⣿⣿⣿

⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣦⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣧⣾⣿⡟⠻⣿⣿⣦⠀⠀⠀⠀⠈⣿⣿⣿⢿⣿⡿⢿⣿⣿⡀⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⢼⣿⣿⣿⣿⣿

⣿⠇⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣄⡀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⡆⠀⠀⢹⣿⣷⣦⣤⣤⣾⣿⣿⠏⠊⠀⠀⠸⣿⣿⣿⣄⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⡇⠀⠘⣿⣿⣿⣿⣿

⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⠀⠀⠀⠀⠛⢻⣿⣿⣿⣿⣀⡀⠀⠉⠛⣿⣿⣿⣿⡋⠁⠀⠀⠀⠀⠀⠹⣿⣿⣿⣦⡀⠘⠿⠿⢿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠅⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⣤⣼⣿⣿⣿⣿⣿⣿⣆⠀⠀⠈⢿⣿⣿⣷⣄⣀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣀⠀⠀⠹⣿⣿⣿⠀⣶⡀⢹⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⢻⣿⣿⣿⣆⠀⠀⠀⠹⣿⣿⣿⣿⣇⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣷⣦⣼⡟⠋⠀⠛⠁⠀⡏⢻⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⣬⢻⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠈⣿⣿⣿⣿⣾⣿⣿⣿⣿⣄⠀⠀⠀⠙⢿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⣸⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⠅⠀⠀⠀⠀⠀⠹⣿⣿⣿⣴⣿⣿⡿⠿⠿⡧⠀⠀⠀⠈⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣄⣴⣼⣷⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣇⡀⠀⠀⠀⠀⠀⣿⣿⣿⣾⣿⣿⣶⡆⠀⣠⣦⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠻⣿⣿⣿⣄⡉⠓⠀⠀⠀⠀⠀⠘⣿⡿⣿⣿⡋⣩⣴⣿⣿⣿⣇⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠈⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠙⢿⣿⣿⠉⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣆⠀⠐⢿⣿⣷⣀⠀⠀⠀⠀⠀⠀⢸⡟⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣼⣿⣿⣿⡿⠓⠀⠈⠙⠻⠧⠀⠀⠀⠀⠀⠘⣿⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠻⣿⡿⢻⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠻⢿⣿⠁⢀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⣛⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⠇⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠸⠁⠀⢹⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⣼⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣆⠀⠀⠀⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⣀⠀⠀⠀⣿⣿⣿⣿⣿

⣿⣿⣥⣽⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⢺⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣷⡀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⣿⣿⣿⣿⣿

⣿⣿⠏⢁⣹⣿⣿⣷⡀⠀⢰⣿⣾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣧⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⡉⠉⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠸⣿⣿⣿⣿⣧⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠁⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠉⠁⠀⣬⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠰⣶⠙⣿⣿⣿⣿⡷⠆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡆⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣦⣽⠏⠉⢻⣿⣿⣿⡿⠟⠛

[39A⠿⠿⠿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠈⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⢀⣀⣤⣤⣤⣶⣦⡀⢠⣿⣿⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⣠⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠁⠉⠉⠉⠉⠉⠁⠀⢠⣿⣿⠿⣿⡿⣿⣿⣿⣿⣧⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⢰⡆⠀⠺⠿⠁⠀⠹⠃⠈⢿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠙⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠗⠀⠀⢀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⣴⣤⠀⣸⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⣿⣿⣶⣦⣀⠀⠀⠉⠀⠙⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿

⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠀⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠋⠀⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⠟⠁⠀⣤⣴⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠉⠁⣀⠙⠿⢿⣿⣿⣿

⣿⣿⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⠟⠀⠀⠀⠙⠛⠁⢨⣿⣿⣿⣿⣿⣿⣷⣤⣤⣄⣤⡙⡆⠀⠀⠹⣿⣿

⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⠇⠀⠀⢽⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⢹⣿

⠈⢹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⠟⠀⠀⠀⣸⣿⣿⡿⠀⣿⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠁⠀⣤⣄⣿

⠀⣼⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⢰⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⠀⠀⢀⣰⣄⠀⠀⠀⢹⣿⣿⡇⠀⠉⠀⠀⠀⢸⣿⣿⣿⡿⠿⠿⠃⢹⣿⣿⡟⠙⠿⣿⣿⠀⠀⠀⣿⡿⣿

⠀⣾⣿⣿⣿⠀⠀⣀⠀⠀⠀⢀⠈⠁⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⣶⣿⣿⡄⠀⠈⣻⣿⣷⣶⣤⣾⣿⣿⣇⠀⠀⠀⠀⠀⣾⣿⣿⣿⣶⣦⣤⣠⣾⣿⣿⣷⣶⣾⣿⣿⡀⠀⠀⣿⡗⣿

⠀⣹⣿⣿⣿⠀⠀⡿⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠀⣷⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠸⠏⢻⣿

⠀⣹⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⠛⣻⣿⣧⠀⠀⠀⠀⠠⡔⡤⠈⠂⠛⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣯⣈⢹⣿⣿⣿⣿⣿⠀⠀⠀⢰⣿⣿

⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣡⣶⡿⢟⡽⠶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⠛⠉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⠿⠿⠛⠙⢿⣿⣿⣿⡿⠀⠀⢰⣿⣿⣿

⠀⠈⠉⠛⠃⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⣀⡽⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣛⣿⣿⣟⣡⣄⣄⠀⠸⣿⣿⣿⣿⡇⠀⣤⣼⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⠿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣇⠀⢀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⡻⠿⠿⢿⡷⠲⣿⣿⣿⠿⠿⠀⠟⠛⠛⠛⠛

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠠⠠⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⡏⠀⠈⠃⠀⠈⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠛⠻⢿⣦⡁⠀⠀⢀⣴⣿⣿⣷⣤⣤⠀⠀⠀⠀⠀⣀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣀⡀⠀⢀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⣀⣀⣀⣀⣀⣺⣇⣠⣼⣷⣤⣤⣤⣤⣠⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠛⢺⣵⢴⣿⣿⣿⠟⠙⣿⣿⣿⣦⣤⣀⣾⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⣿⣿⣿⣧⣿⢿⡟⣿⣿⡇⠀⢸⣿⣿⠿⠿⠿⢿⣿⣷⡄⠀⣿⣿⡿⠿⠿⠿⠿⠿⢀⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣧⡀⠀⠀⡜⡻⣾⣿⡿⠁⠀⢰⡏⢹⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠉⠿⣯⣿⣮⣀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⠀⢹⣿⣿⠀⣿⣿⡇⠀⠀⠀⠀⢀⣼⣿⣿⡁⠀⠹⣿⣿⣿⣿⣿⣿⣷⣈⣿⣿⣿⣿⣄⠘⢶⡶⠟⠋⠀⠀⣰⣿⣷⠈⣿⣿⣿⣿⣿⣿

⣶⣶⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⡗⠀⢸⣿⣿⠀⠀⠀⣀⣼⣿⡿⠀⣿⣿⣇⣀⣤⣶⣦⡀⠈⢿⣿⣷⣶⣤⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣷⡀⠀⠀⣀⣤⣾⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿

⣿⣁⣀⣠⣤⣤⣀⣀⣤⣴⣿⣿⣿⣶⡄⠀⠿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⠿⠛⠁⠀⣿⣿⡿⢿⣿⣿⣿⣿⣆⠀⠉⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠻⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⡆⢿⣿⣿⣿⣿⣿

⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣿⣿⣿⣿⣿⣷⣦⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣇⣼⣿⣿⢿⣿⣿⣧⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠠⣿⣿⣿⣿⣿

⣿⣿⠃⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣷⠀⠉⢹⣿⣶⣦⣤⣤⣾⣿⣿⠿⡿⠟⠋⢹⣿⣿⣿⣦⠀⠈⠙⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⣿⣿⣿⣿⣿

⣿⣿⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⠛⠛⣿⣿⣿⣿⣄⣀⠀⠉⠛⢻⣿⣿⡛⠋⠁⠀⠀⠀⠀⠈⢻⣿⣿⣿⣷⣄⡈⠻⠿⢿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⢀⣤⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠻⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⣿⣿⣿⣄⠀⠀⠙⢿⣿⣿⠃⣴⣦⢘⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣤⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠘⢿⣿⣿⣦⡄⠀⠀⠀⠘⠿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣌⡻⠛⠀⠛⠋⠀⠉⠛⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠈⢉⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡀⠀⠀⠈⢿⣿⣿⣿⣦⡀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠘⣀⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠉⠙⢿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠸⣿⣿⣿⢉⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⢻⣿⣿⣿⣿⣆⠀⠀⠀⠀⠈⠿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣴⣴⣷⣾⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠰⣿⣿⢿⣿⣿⣟⠀⠀⠀⠀⠀⠀⢻⣿⣿⢸⣿⣿⣿⣅⠀⠀⣤⡄⠀⠀⠀⢿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠘⢿⣷⣿⣿⣉⠛⠆⠀⠀⠀⠀⠈⢿⣿⠘⣿⣿⠛⢛⣴⣾⣿⣿⡄⠀⠀⠘⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠈⢿⣿⣿⣿⠛⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣷⠀⠀⡿⣿⣿⣄⡀⠀⠀⠀⠀⠀⠈⣿⢿⠛⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣿⣿⣿⣿⠟⠀⠀⠟⠿⠿⡄⠀⠀⠀⠀⠀⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠘⠿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⢿⣿⡏⠀⣰⣄⠈⠠⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⣳⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠻⠇⠉⢻⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠈⢻⣶⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣯⡀⠀⠀⠀⢼⣿⣀⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿

⣿⣿⣧⣼⣿⣿⣿⣿⠏⠀⠀⡀⠀⠀⢸⣿⣿⣿⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣆⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⠀⣸⣿⣿⣿⣿

⣿⣿⣿⠁⣹⣿⣿⣿⡆⠀⠀⢸⣦⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⡆⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⣿⣷⣿⣿⣿⣿⣿

⠉⠉⠁⠈⣿⣿⣿⣿⣿⡆⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠃⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠟⠋⠉⣴⣾⣶⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠰⣶⠉⢿⣿⣿⣿⣿⡖⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣿⣿⣿⣿⣿⣿⣷⣤⣶⣠⣶⣾⠛⠟⠛⣿⣿⣿⣿⣿⣿⣿

[39A⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣤⡀⠀⠀⠀⢀⣀⣀⣠⣤⡀⢀⣴⣤⣤⣄⣼⣿⣿⣿⣿⣿⣿⣿⣿⣤⠀⠀⢀⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠛⠛⠋⠙⠛⠛⠁⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠘⣿⣿⣿⣿⣿⣿⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡆⢀⣾⡿⠉⠐⣿⠈⢻⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠟⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡆⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⣠⡀⠈⣿⣿⣿⣧⠀⣿⣿⣿⣿⣿⣿⣿⠿⠛⢿⣿⣿⣶⣶⡀⠀⠀⠉⠈⠻⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿

⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠀⠀⠰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡿⠇⢸⣿⣿⣿⣿⠀⢻⣿⣿⣿⣿⠟⠁⢀⣤⣾⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠈⠉⢀⣈⠛⠻⣿⣿⣿⣿

⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣻⣿⣿⡇⠀⢸⣿⣿⣿⠋⠀⠀⠈⠛⠋⠀⣸⣿⣿⣿⣿⣿⣿⣷⣤⣤⣤⣬⠛⡄⠀⠈⢻⣿⣿

⠀⣿⣿⣟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠃⠀⠀⠀⠀⠀⠁⠀⣾⣿⣿⣿⠃⠀⢸⣿⣿⡏⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡄⠀⠀⢹⣿

⠀⠉⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⡏⠀⠀⢸⣿⡿⠀⣿⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠁⠀⣤⣼⣿

⠀⠀⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⢀⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣿⠀⠀⠀⢸⣿⡇⠀⣉⠀⠀⠀⢸⣿⣿⣿⠿⠿⠟⠀⢻⣿⣿⡏⠉⢿⣿⣿⠀⠀⠀⣿⣿⣿

⠀⠀⣿⣿⣿⣿⠀⠀⡀⠀⠀⠀⢀⣸⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣴⣶⣾⣦⠀⠀⠸⣿⣿⣷⣦⣄⣼⣿⣧⠀⠉⠀⠀⢠⣾⣿⣿⣿⣶⣶⣦⣤⣿⣿⣿⣿⣾⣿⣿⣿⠀⠀⠀⣿⡿⣿

⠀⠘⣿⣿⣿⣷⠀⠀⡗⠀⠀⠀⠘⠉⠀⣀⣤⣶⣶⣶⣄⠀⠀⠀⠀⠀⠀⠀⣠⡐⡺⠟⣿⣿⣿⣿⣿⣿⣿⣿⣧⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠸⠏⣿⣿

⠀⠀⣿⣿⣿⣿⠀⠀⠃⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⣁⠀⠠⠴⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣦⣈⣹⣿⣿⣿⣿⣿⠀⠀⠀⣸⣿⣿

⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠛⢁⣴⣿⣷⡆⠀⠀⠀⠘⠈⠀⠀⠀⠀⠀⠉⠛⢿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠸⣿⣿⣿⣿⣿⡿⠛⠛⠋⢉⣿⣿⣿⣿⡿⠀⠀⢠⣿⣿⣿

⠀⠉⠀⠉⠛⠁⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣾⣿⣿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⡟⠀⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣟⣿⣿⣿⣥⣶⣶⡄⢘⣿⣿⣿⣿⡇⠀⣤⣼⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣴⣾⣿⠃⠈⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⡿⡿⣿⣿⡷⠺⣿⣿⣿⣿⣿⠘⠿⠿⠿⠿⠿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡍⠉⠙⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠋⠀⠀⠾⠄⠘⠛⢿⣿⣿⣿⣿⣿⣿⣿⣷⠈⠛⠛⢿⣷⡇⠀⢀⢀⣴⣿⣿⣿⣄⡀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⢀⣀⣀⣀⣀⣁⣁⡉⠀⠀⠀⣀⣀⣀⣀⣈⣹⣿⣄⠀⠀⢀⣀⣀⣤⣬⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠂⢛⢤⣴⣿⣿⣿⠟⠉⣿⣿⣿⣷⣤⣀⠀⣰

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⠿⠿⠿⢿⣿⣷⣄⠐⣿⣿⡿⠿⣿⡿⠿⠿⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣧⡀⠀⠀⠔⣾⣻⣿⡿⠁⠀⣰⣿⠹⣿⣿⣿⣿⣿⣿

⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠉⠛⢿⣿⡿⣿⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⠀⢹⣿⣿⠀⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⡁⠀⠉⣻⣿⣿⣿⣿⣿⣷⣈⣿⣿⣿⣿⣄⠐⢷⡶⠿⠏⠀⠀⣰⣿⣿⠀⣿⣿⣿⣿⣿⣿

⢁⣤⣦⠀⠀⠀⠀⢴⠄⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⡇⠀⢺⣿⣿⠀⠀⠀⣀⣾⣿⡿⠀⣿⣿⣇⣀⣀⣠⣤⡄⠚⢿⣿⣷⣶⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⣀⣤⣾⣿⣿⣿⡀⣿⣿⣿⣿⣿⣿

⣿⣿⣋⡀⣀⣀⣀⠀⠀⢀⣠⣶⣶⣶⣦⣀⠀⢹⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⠿⠟⠁⠀⣿⣿⡿⠿⢿⣿⣿⣷⣤⡀⠉⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠻⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⡇⠻⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣷⣦⣸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⣼⣿⣿⣿⣿⣷⡄⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⣾⣿⣿⣿⣿

⣿⣿⣿⡏⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠈⢹⣿⣷⣦⣤⣤⣾⣿⣿⢿⣿⣿⡿⢿⣿⣿⣿⣷⡀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⡋⠀⢸⣿⣿⣿⣿

⣿⣿⣿⣀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⠀⠀⠀⠛⠛⢻⣿⣿⣿⣿⣠⡄⠉⠛⠛⢿⣟⠿⠋⠁⠀⠙⠋⠀⠀⣿⣿⣿⣿⣿⣤⠀⠻⠿⠿⣿⣿⣿⣿⣿⡇⠀⢠⣿⣿⣿⣿

⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠹⣷⣤⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣧⡀⠀⠈⢻⣿⣿⡏⢰⣦⡀⢻⣿⣿⣿

⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠹⣿⣧⣀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣽⡛⠀⠈⠛⠀⢸⡋⢿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠈⠻⠿⢿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠈⢿⣿⣶⣄⠀⠀⠀⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠘⣃⣸⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠳⠟⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⢻⣿⣿⣿⣀⠀⠀⠀⠘⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣾⣶⣾⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⡿⢛⣉⠁⠀⢧⡀⠀⠀⠀⢿⣿⣿⣿⣆⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠘⣿⣿⣞⡿⢻⢿⣆⠀⠀⠀⠀⠘⣿⣿⢨⣿⣿⣿⠿⣃⣤⣿⣿⡆⠀⠀⠈⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠙⢿⣿⣿⣿⠿⠄⠀⠀⠀⠀⠈⢻⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠉⠸⣿⣿⣶⣾⣿⣿⣿⣿⣷⠀⠀⠀⢹⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠘⢻⣿⣿⣀⠀⠀⠀⠀⠀⠀⠀⠛⢻⣿⡿⠧⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣹⣿⣿⣿⣿⠞⠉⢿⢿⣿⣆⠀⠀⠀⠀⠀⢸⣆⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠙⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⠃⢠⣄⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠿⠷⢶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠛⠿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠙⣿⡉⠟⢿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡟⠁⠀⠈⠙⣥⣼⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣶⣶⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⡀⠹⢿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠈⠻⠀⠸⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣆⠀⠀⢸⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⡀⠀⠀⢸⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣩⣿⣿⣿⡇⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠿⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣆⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣼⣿⣿⣿⣿

⠉⠉⠉⠉⠉⣿⣿⣿⣿⣿⡆⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠿⠿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠉⢻⣿⣿⣿⣿⣿

⠀⠀⠰⣶⠀⠿⢿⣿⣿⣿⣿⡆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢿⣿⣿⣿⣿⣿⣿⠏⠉⣙⠁⠀⣀⣿⣿⣶⣾⣿⣿⣿⣿⣿

[39A⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣶⣦⣼⣦⣤⣤⣄⠀⠀⠀⠀⣀⣀⣀⣤⡄⢀⣤⣤⣿⣀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⢸⣿⣿⣿⣿

⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠃⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⢰⣿⣿⣿⣿⣿⣯⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⡀⠀⢾⡿⠛⠙⣿⠛⢿⣿⣿⣿⡆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠻⢿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡄⠀⠀⠀⠀⠀⠀⠀⠋⠁⠘⠛⠃⠀⠀⡉⠀⠈⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⡟⠻⣿⣿⣷⣶⣄⠀⠀⠀⠂⠙⢿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿

⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⡁⠀⣠⠄⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⢰⣿⠇⢠⣿⣿⣿⡇⠠⣿⣿⣿⡿⠋⠁⣠⣴⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠘⣄⠙⠛⠿⣿⣿⣿⣿

⢿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠘⢿⣿⣿⡇⠀⣿⣿⡿⠃⠀⠀⠙⠛⠀⢀⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣾⡏⣇⠀⠀⠙⢿⣿⣿

⢀⣽⣿⣿⠉⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠗⠀⠀⠀⠀⠀⠐⠀⠀⣴⣿⣿⣿⠇⠀⣿⣿⠁⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠘⣿⣿

⠀⠈⠻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⠏⠀⠀⣿⡏⢠⣄⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢰⣦⣿⣿

⠀⠀⢸⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡟⠀⠀⠸⣿⠀⠈⡋⠀⠀⠀⣿⣿⣿⡟⠿⠟⠃⠙⣿⣿⣿⠉⠉⣿⣿⡇⠀⠀⢸⣿⣿⣿

⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣀⣀⣤⣶⣤⣤⡀⠀⠀⢰⣿⣿⣶⣤⣤⣿⡄⠀⠁⠀⠀⢰⣿⣿⣿⣷⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⢸⣿⣿⣿

⠀⠀⢸⣿⣿⣿⡄⠀⢸⡇⠀⠀⠀⠘⠁⠀⣠⣤⣴⣶⣦⠀⠀⠀⠀⠀⠀⠀⣀⠀⠴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⢀⣼⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠘⢣⣿⣿

⠀⠀⢸⣿⣿⣿⡇⠀⠈⠃⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⡷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠠⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣦⣈⣿⣿⣿⣿⣿⡏⠀⠀⢀⣾⣿⣿

⠶⡶⠿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡟⠋⣁⣼⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⢹⣿⣿⣿⣿⣿⡟⠛⠉⠁⣽⣿⣿⣿⣿⠃⠀⠀⣸⣿⣿⣿

⠀⠀⠀⠈⠙⠋⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠁⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣬⣿⣿⣿⡿⣛⣶⣶⣶⡀⢸⣿⣿⣿⣿⠀⣠⣤⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢯⣄⣤⣾⣿⠁⢘⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡿⡿⢿⡗⠸⣿⣿⡟⠛⣿⠿⣿⠿⠿⠿⠿

⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣟⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠸⣿⣿⣟⠋⠀⠈⣷⠄⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠻⠟⣌⠀⡀⠀⣀⣾⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀

⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⢀⣀⣀⣀⣀⣀⣉⡐⠁⠀⢀⣀⣀⣀⣹⣀⣻⣿⣇⠀⠀⠀⣀⣀⣀⣀⣼⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⡟⣑⢳⢸⣿⣿⣿⠟⢹⣿⣿⣿⣿⣦⣀⠀⠀

⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⠿⠿⠿⢿⣿⣷⣄⠘⣿⣿⡿⠿⠿⢿⣿⠿⢀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣦⡀⠀⠀⠍⢢⣸⣿⠟⠁⠀⣸⡏⠸⣿⣿⣿⣿⣷⣶

⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠉⠉⠙⣿⣿⣯⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⠀⢹⣿⣿⠀⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣷⢈⣿⣿⣿⣿⣄⠐⠴⠖⠟⠋⠀⢀⣴⣿⣷⠀⣿⣿⣿⣿⣿⣿

⣿⣧⣤⣤⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⣀⣼⣿⡿⠀⣿⣿⣇⣀⣀⣀⣀⡀⠘⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⠀⠀⣠⣴⣿⣿⣿⣿⡀⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣉⠀⠀⣀⡀⠀⠀⠀⣠⣴⣶⣦⣤⣄⠀⣻⣿⣿⣇⠀⢺⣿⣿⣿⣿⣿⣿⠿⠛⠁⠀⣿⣿⡿⠟⠻⣿⣿⣟⢛⡛⠋⠙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠻⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⡿⠻⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣦⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢠⣿⣿⣿⣿⣷⡄⠀⠀⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣷⠀⣿⣿⣿⣿⣿

⣿⣿⣿⣿⠃⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣀⠀⠀⠀⠀⠀⠀⣿⣿⣧⣾⣿⣿⣿⡇⢹⣿⣷⣦⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣧⣿⠀⢸⣿⣿⣿⣿

⣿⣿⣿⡟⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣄⠀⠀⠛⠛⠛⣿⣿⣿⣿⣧⣤⠉⠛⠻⣿⣟⢛⠛⠉⢸⣿⡿⠟⠛⣿⣿⣿⣿⣿⣄⠀⠻⠿⠿⢿⣿⣿⣿⡏⠿⠀⠐⣿⣿⣿⣿

⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣷⣄⠀⠈⠙⢿⡶⠢⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣧⣀⠀⠈⠻⣿⣿⡇⢰⣶⠀⣻⣿⣿⣿

⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⢻⣿⣿⣿⣆⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣼⡋⠀⠈⠋⠀⢨⡍⢻⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠘⠻⡿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⢸⣿⣿⣿⣿⢸⣿⣿⣿⣿⣧⠀⠀⠀⠘⣷⣤⡀⠀⠀⠀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⣀⣼⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠘⠿⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠈⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣆⠀⠀⠀⠈⢿⣿⣄⠀⠀⠀⠉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣷⣾⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠸⣿⣿⣿⢸⣿⡟⠛⡉⠉⠙⢇⠀⠀⠀⠘⣿⣿⣷⡄⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠹⣿⣏⣿⣿⢿⣦⡀⠀⠀⠀⠀⠹⣿⡏⢸⣿⣿⣿⣿⢀⣤⣾⣷⡄⠀⠀⠸⣿⣿⣿⣆⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢹⣿⣿⣿⣿⢷⠀⠀⠀⠀⠀⠙⢿⣿⣷⣤⡈⠁⠀⠀⠀⠀⠀⠀⠋⢸⣿⣿⣦⣾⣿⣿⣿⣿⣧⠀⠀⠀⢿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠘⢻⣿⣷⡀⠀⠀⠀⠀⠀⠀⠈⠿⢿⣿⡿⣄⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠈⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣷⡏⠈⣽⣿⣶⡄⠀⠀⠀⠀⠀⢤⡜⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠻⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⡇⢀⣄⠀⠀⠉⠛⠀⠀⠀⠀⠀⠘⣷⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⢿⣿⡿⠿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡟⠀⠀⠈⠙⣁⣼⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠙⣷⠀⠙⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠁⠀⠀⠀⢀⣿⣿⣿⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣷⡀⠀⠀⢠⣄⣀⣹⢿⣿⣿⣿⣿⣷⣄⣀⡀⠀⠀⠀⠀⠀⣾⣿⣿⣿

⣿⣿⣿⣿⣿⣫⣼⣿⣿⣿⡁⠀⠀⢰⣶⣾⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⡄⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⢰⣿⣿⣿⣿

⠉⠉⠉⠉⠉⠉⣿⣿⣿⣿⣷⡄⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⡷⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠰⣦⠀⠲⠿⢿⣿⣿⣿⣷⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⣿⣿⠿⠿⡟⠉⢉⣁⣤⣀⣹⣿⣿⣿⣿⣿

[39A⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣤⣤⣤⣤⣀⡀⠀⠀⠀⢀⣀⣀⣤⣤⡀⣠⣤⣤⣤⡀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⣿⣿⣿⣿

⠀⠀⠀⠀⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠈⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⣾⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⡄⠀⢰⣿⡿⠛⢿⡟⠿⣿⣿⣿⣧⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣄⠀⠀⠀⠀⠀⠀⠀⠹⠇⠀⠘⠛⠀⠀⠘⠇⠀⠹⣿⣿⣿⠀⢸⣿⣿⣿⣿⡿⢿⣿⣿⣶⣦⣀⠀⠀⠙⠛⠻⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣶⡄⢸⣿⣿⣿⠀⢸⣿⣿⠋⠁⣠⣼⣿⣿⣿⣿⣿⣿⣶⣄⡀⠀⠀⠉⢴⣍⠿⠿⣿⣿⣿⣿⣿⣿

⠿⢿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠉⠀⠺⣿⣿⣿⠀⢸⡟⠁⠀⠈⠛⠃⠀⣸⣿⣿⣿⣿⣿⣿⣿⣶⣦⣴⣿⡟⣀⠀⠈⠻⣿⣿⣿⣿

⠤⣬⣿⣿⡏⠉⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠄⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⡇⠀⢸⡅⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡄⠀⠀⢹⣿⣿⣿

⠀⠀⠹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⠃⠀⠀⢰⣄⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⣶⣾⣿⣿⣿

⠀⠀⠀⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠃⠀⠀⠀⠈⠉⠀⠀⠀⣿⣿⣿⡿⠿⠛⠉⢹⣿⣿⣿⠉⢉⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿

⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣤⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⣀⠀⠀⠀⢀⣴⣶⣦⣀⠀⠀⠁⠀⠀⠰⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿

⣄⠀⠀⣺⣿⣿⣧⠀⠀⣰⠀⠀⠀⠀⠈⠉⣠⣤⣶⣶⣶⣤⡀⠀⠀⠀⠀⠀⢀⣠⠀⣠⣴⣶⣶⣶⣶⣿⣿⣿⣿⣧⡀⠀⠈⣻⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⡧⠀⠀⡟⢻⣿⣿⣿

⣇⠀⠀⣻⣿⣿⣿⠀⠀⠈⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡿⢧⣀⡀⠀⠀⠀⠈⢵⠑⠛⢛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⣾⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣦⣼⣿⣿⣿⣿⣿⡇⠀⠀⢰⣿⣿⣿⣿

⣿⡶⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣟⣁⣤⣾⣿⣿⠀⠀⠀⠀⡀⠈⠀⠈⠘⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⡟⠋⠉⣉⣩⣿⣿⣿⣿⠀⠀⠀⣾⣿⣿⣿⣿

⣿⠀⠀⠀⠉⠙⠉⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⣿⠟⠋⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣦⣄⣻⣿⣿⣿⣻⣷⣾⣾⣄⢸⣿⣿⣿⡿⠀⢠⣾⣿⣿⣿⣿⣿

⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣇⠀⢀⣾⣿⠀⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣟⠿⡿⠿⣿⢿⣿⣿⡏⠀⠀⠸⣿⣿⣿⣿⣿⣿

⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠂⢂⠠⠀⠀⠀⠀⠀⠈⣿⣿⣿⡿⠛⠀⠹⠷⠀⠉⠻⣿⣿⣿⣿⣿⡔⠻⡛⠻⡿⣷⣰⡠⠀⣠⣿⣿⣿⣷⣤⣄⠀⠈⠉⠀⠀⠀⠀

⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⣀⣀⣀⣀⣀⣀⡦⢥⠀⢀⣀⣀⣀⣨⣬⣿⣿⣿⡇⠀⠀⣀⣀⣀⣀⣴⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⢿⡟⣟⢺⣿⣿⣿⠟⢹⣿⠿⣿⣿⣶⣤⣄⠀⠀

⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠿⢿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⠿⠿⠿⢿⣿⣷⣄⢸⣿⣿⡿⠿⠿⠿⣿⡿⢀⣾⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⡷⣿⢽⣿⡿⠁⠀⣸⣿⠀⣿⣿⣿⣿⣿⣷⣶

⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⣴⡶⠛⠁⠀⠀⠙⢿⣿⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⠀⢹⣿⣿⠀⣿⣿⡇⠀⠀⠀⠀⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢻⣿⣿⣿⣦⡀⠻⠷⠿⠋⠀⢀⣴⣿⣿⡆⢿⣿⣿⣿⣿⣿⣿

⣿⣿⣧⣤⡀⠀⠀⠀⠀⠾⠋⠀⠀⢀⣀⡀⡀⠀⠹⣿⣿⣧⠀⢸⣿⣿⠀⠀⠀⣀⣾⣿⡿⠀⣿⣿⣇⣀⣠⣤⣤⣤⡜⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣄⡀⠀⣠⣴⣿⣿⣿⣿⣇⣼⣿⣿⣿⣿⣿⣿

⣿⣟⣙⣿⠁⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣿⣿⣦⠀⣿⣿⣿⡄⢸⣿⣿⣿⣿⣿⣿⠿⠛⠁⠀⣿⣿⡿⠟⠛⠛⠻⠿⠿⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢻⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⢀⣠⣴⣶⣾⠂⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠘⣿⣿⣿⣿⣿

⣿⣿⣿⣿⡟⠁⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⣿⣿⡇⢀⣴⣿⣿⣿⢺⣿⣷⣦⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠈⢹⣿⣿⣿⣿⣿⣿⣿⣿⠂⠀⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣇⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠛⠛⠃⠾⣿⣿⣿⣿⢈⣍⠛⢻⣿⠿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡈⠻⠟⠻⣿⣿⣿⣿⡿⠀⠀⢸⣿⣿⣿⣿

⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣧⣀⠀⠰⡖⠺⢻⣿⡻⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣧⣀⣀⠈⠻⣿⡿⠶⣿⣷⠀⢻⣿⣿⣿

⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⢽⣿⣿⣿⣆⠀⠀⠆⠉⠛⠁⠀⠀⠀⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣮⡁⠀⠈⠉⠀⢸⠁⢿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣀⠀⣀⣤⣤⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠰⢾⢿⣿⣿⣿⣿⣿⣯⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⡿⠿⠿⠛⢻⣇⠀⠀⠀⠀⣴⡄⠀⠀⠀⠀⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠈⠻⣿⣃⣿⣿⣷⣿⣿⠀⣀⣿⣷⡀⠀⠀⢸⣷⣄⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡿⣿⣿⣿⡿⠧⠀⠀⠀⠀⠀⠻⣿⣾⣿⣏⠁⠀⠀⠀⠀⠀⠀⠉⠉⣿⣿⣿⣥⣴⣿⣿⣿⣿⣧⠀⠀⠈⢿⣿⣦⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣷⣾⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠙⡿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⢸⣿⣿⣷⡀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⡟⠁⢹⣿⣷⣶⠀⠀⠀⠀⠀⠀⣄⡘⠋⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⢿⣿⣿⣿⡄⠀⠀⠀⠀⠈⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠻⢿⠀⢰⣿⠉⠉⠉⠃⠀⠀⠀⠀⠀⠹⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠈⢿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⢀⣶⣿⣿⣇⠀⠂⡀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⢹⣿⣿⣿⣦⠀⠀⠀⠀⠀⠈⢻⣿⠛⠛⢿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠁⠀⠀⠀⠀⣠⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣆⠀⠀⠀⠀⠈⠙⠛⣿⣿⣷⡀⠀⠀⠀⠀⠀⠙⢣⠀⠘⣿⣿⣿⣿

⠿⠿⣿⣿⣿⣿⣦⣿⣿⣿⣇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠻⠿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣷⡀⠀⢸⣷⣦⣤⣼⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿

⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣷⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣧⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣀⠀⢀⣿⣿⣿⣿

⠀⠀⠲⣶⠀⠰⠔⠿⣿⣿⣿⣿⣷⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠉⠁⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿

[39A⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣄⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⣀⣤⣀⣀⡀⣠⣤⣤⡀⡀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⢸⣿⣿⣿

⠀⠀⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⠿⠋⠉⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠰⣾⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣾⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣤⡀⠀⢨⣿⣿⠿⢿⡿⢿⣿⣿⣿⣆⠀⠀⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡀⠀⠀⠀⠀⠀⠀⠀⠹⠇⠀⠸⠟⠁⠀⠘⠇⠀⠹⣿⣿⣿⠀⠀⣿⣿⣿⡿⣿⣿⣿⣶⣦⡀⠀⠀⠘⠛⠻⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⡄⢸⣿⣿⣿⠀⠀⢿⠟⠋⣠⣸⣿⣿⣿⣿⣿⣷⣶⣄⡀⠀⠀⠁⣠⣾⠿⠿⣿⣿⣿⣿⣿⣿⣿

⡶⠾⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⠀⠺⣿⣿⣿⠀⠀⠀⠀⠀⠻⠗⠀⢸⣿⣿⣿⣿⣿⣿⣿⣷⣶⣴⣿⣿⣀⠀⠀⠻⣿⣿⣿⣿⣿

⣷⣠⣿⣻⣯⠉⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠰⣾⣿⣿⡇⠀⡀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⢹⣿⣿⣿⣿

⡇⠀⠙⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠹⣿⣿⠁⠀⠀⣀⠀⠀⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⣶⣾⣿⣿⣿⣿

⣷⠀⠀⢸⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠛⠀⠀⠀⣾⣿⣿⣿⠿⠋⠉⠀⣿⣿⣿⡉⣈⣿⣿⡇⠀⠀⣻⣿⣿⣿⣿⣿

⣿⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣬⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠂⠀⠀⠀⣿⣿⣿⣿⣷⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⣿⣿⣿⣿⣿⣿

⣿⠀⠀⢸⣿⣿⣿⡄⠀⢰⡆⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣶⣶⣶⣾⡄⠀⠀⠰⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⠀⠀⢿⣻⣿⣿⣿⣿

⣿⠀⠀⠀⣿⣿⣿⡇⠀⠘⠃⠀⠀⠀⠀⠀⢺⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣀⣴⣿⣿⡄⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣦⣼⣿⣿⣿⣿⣿⡏⠀⠀⠘⣿⣿⣿⣿⣿

⣿⡷⠶⠾⢿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡀⠀⠀⠀⠀⡀⠀⠐⠻⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⠋⢉⣉⣈⣿⣿⣿⣿⡇⠀⠀⣸⣿⣿⣿⣿⣿

⣿⠁⠀⠀⠀⠉⠙⠁⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣦⡄⠈⣹⣿⣿⣿⣷⣶⣿⣧⣀⣹⣿⣿⡿⠀⠠⣾⣿⣿⣿⣿⣿⣿

⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⠰⠻⣿⡿⢿⣿⣿⣿⣿⣿⣿⡟⠘⣿⣿⣿⣟⡟⠿⡿⠿⢿⣿⣿⣟⠁⠀⠀⠘⣿⣿⣿⣿⣿⣿

⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠛⠛⠙⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⣀⠈⣧⣤⣤⣾⠄⠿⣷⡀⠈⠻⣿⣿⣿⣿⣇⠀⠿⠻⠿⣮⣿⣙⣧⢄⣼⣿⣿⣿⣧⣤⣀⠀⠈⠉⠁⠀⠀⠀

⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⢿⣿⣿⣿⣿⣦⣄⠀⢀⣀⣀⣀⣀⣀⣀⡀⠀⠀⢁⣀⣄⣀⣀⣉⣀⣿⣿⣿⠛⠀⣀⣀⣁⣀⣤⣾⣿⣿⣿⣿⣶⡀⠀⠀⠈⣟⣻⡏⣿⣿⣿⡿⠃⢹⡿⣿⣿⣿⣦⣤⡀⠀⠀

⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠟⠃⠀⠛⢿⣿⣿⣿⡏⠀⢸⣿⣿⠿⠿⠿⢿⣿⣷⣄⢸⣿⣿⡿⠿⠿⠿⠿⠿⢻⣶⣿⣿⢿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣄⠀⠀⠈⠉⠁⣿⣿⡿⠀⢀⣾⡇⢸⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡀⠀⠀⠀⠀⠀⠀⢀⣾⠟⠁⠀⠀⠀⡀⠀⠙⣿⣿⡧⢀⣸⣿⣿⠀⠀⠀⠀⢹⣿⣿⠀⣿⣿⡇⠀⠀⠀⢀⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣷⣄⠀⠚⠀⠈⠀⠀⣠⣾⣿⣧⠘⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣤⣤⠀⠀⠀⠀⠀⠁⣠⣤⣾⣿⣿⣿⣷⣄⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣀⣼⣿⡿⠀⣿⣿⣇⣀⣀⣤⣾⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡘⣿⣿⣿⣿⣷⣄⠀⣀⣤⣾⣿⣿⣿⣷⣴⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣛⣻⡏⠀⠀⠀⣀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠁⠀⣿⣿⡿⠿⠿⠿⠿⣿⣿⡟⠻⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⢻⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠉⠋⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢹⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣏⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⣠⣤⣤⣴⣿⣶⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣄⡀⠛⠛⠃⠀⢴⣿⣿⣿⡟⢻⣟⠛⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡈⠛⠛⠻⣿⣿⣿⣿⣿⡀⠀⢸⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠁⠀⠀⠀⠀⢠⣸⣿⣿⣷⣿⣿⣆⡀⠀⠀⠛⢿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣀⠈⠻⣿⡇⠸⣿⡷⠈⢻⡿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠁⠁⠀⠉⠁⢉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣮⡀⠀⠀⠁⠀⢰⠀⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣦⣄⣀⣠⣤⣴⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠿⠟⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣿⣿⣿⢻⣿⣿⣿⡿⠿⠿⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⢿⣟⠻⣿⣿⣇⠀⠀⠀⠀⠀⠘⢻⡇⢸⣿⣿⣧⣶⣦⠀⢈⣷⣤⠀⠀⠀⢠⡄⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣯⣿⣿⣿⣿⡿⠆⠀⠀⠀⠀⠈⢻⣷⣦⣿⠏⠀⠀⠀⠀⠀⠀⠈⠃⢸⣿⣿⣿⣋⣱⣶⣿⣿⣿⡆⠀⠀⠸⣷⣄⠀⠀⠀⠀⠈⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⣾⣿⣿⣿⣿⠟⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣷⡆⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢻⣿⣦⠀⠀⠀⠀⠘⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⡇⠀⣸⣿⣿⣷⣆⠀⠀⠀⠀⠀⢀⣄⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠘⣿⣿⣧⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠈⣠⣼⣿⠛⠻⠉⠙⠃⠀⠀⠀⠀⠀⢻⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⢸⣿⣿⣧⡀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⣾⣿⣿⣷⡄⠰⠂⠀⠀⠀⠀⠀⠀⠀⣀⣨⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠙⠻⣿⣷⡄⠀⠀⠀⠀⠈⠻⢿⠛⢻⡿⢻⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⣤⣼⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠐⢿⣿⣿⣄⠀⠀⠀⠀⠀⠈⠀⠀⠀⠘⣿⣿⣿⣿

⠀⠉⠛⠛⠛⠻⣿⣿⣿⣿⣿⣄⠀⠀⢠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣄⠀⠀⢠⣤⡄⠛⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣦⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⡆⠀⣿⣿⣿⣏⢹⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿

⠀⠀⠰⣶⠀⠰⠄⠸⢿⣿⣿⣿⣿⡄⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⡄⠀⠀⢺⣿⣿⣿

[39A⠛⠛⠛⠛⠛⠿⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠤⠾⠿⠿⣿⢿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⢿⣿⣷⣴⣶⣶⣶⣶⣤⣤⠀⠀⡀⠀⣀⣀⣀⣠⣾⣿⣿⣇⣿⣿⣿⣷⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⣠⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠐⠀⠀⡄⠀⠀⠸⣿⠟⠉⢸⡟⠙⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣉⠈⠉⠉⠙⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠀⠀⠈⠃⠀⠘⣿⣿⣿⠀⠀⠀⢸⡿⠛⠙⣿⣿⣿⣿⣦⣤⣀⡀⠀⠈⠛⠿⣌⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⢀⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠀⠀⠀⠀⣾⡿⠇⠸⢿⣿⣿⠀⠀⠀⠀⠀⣴⣞⠻⠿⣿⣿⣿⣿⣿⣿⣦⣄⣀⣀⣈⣿⠃⠀⠉⠻⣿⣿⣿⣿⣿⣿

⠈⠻⣿⣿⠿⢶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡴⠆⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠉⠃⠀⠀⠂⠀⠀⠀⠉⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠘⣿⣿⣿⣿⣿

⠛⢲⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣄⠀⣠⣶⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⣀⣸⣿⣿⣿⣿

⠀⠀⠘⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⡗⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠟⢿⣿⣿⡿⠻⣿⣿⡟⠀⠀⠀⣿⣿⣿⣿⣿⣿

⠀⠀⠀⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣽⣿⣿⣿⣿⣭⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣏⣁⣀⣀⣿⣿⣿⣧⣴⣾⣿⣿⡀⠀⠀⣿⣿⣿⣿⣿⣿

⠀⠀⠀⢻⣿⣿⣇⠀⠀⢀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿

⠀⠀⠀⢸⣿⣿⣿⠀⠀⢸⠃⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⡟⠉⣻⣿⣿⣿⣿⣿⡇⠀⠀⢻⣿⣿⣿⣿⣿

⣶⣤⣤⣾⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠐⣃⠙⠓⠟⢳⣦⣄⡈⠿⣿⣇⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⠁⠀⠀⣸⣿⣿⣿⣿⣿

⣿⠉⠉⠚⠻⢿⣿⠇⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⣾⡿⣿⠿⣿⣿⣇⣢⣭⣿⣿⣿⣷⣮⣁⠀⠀⠀⠀⠉⣿⣿⣿⣿⣟⣉⣠⡶⠒⠾⣿⣿⣿⣿⠀⢀⣀⣿⣿⣿⣿⣿⣿

⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⢿⣿⣿⣿⣿⣿⣿⣿⣦⣼⣿⣿⡿⠋⠀⠘⠛⠿⣿⣿⣿⣿⣿

⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠠⢠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠉⠉⠛⢿⣿⣿⣿⣿⠇⠘⣿⣿⣿⣏⡛⢟⠏⠙⣿⣿⣿⣧⠀⠀⠀⠀⠀⠹⣿⡿⠿⠿

⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠏⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠟⠆⠀⠀⠀⠀⠀⠀⠀⠀⠼⠀⠀⠀⠀⢸⣿⣿⣿⣿⡄⠀⠫⠉⠛⣭⣿⣕⣄⣶⣿⣿⣿⡿⣷⣦⣤⣤⣄⠀⠀⠀⠀⠀

⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣀⣀⣀⣀⡀⢀⣀⣀⣀⣀⣀⣀⡀⠂⠀⢀⣈⣀⣂⣀⣀⣀⣀⣀⠀⠀⢀⣀⣤⣤⣤⣴⣿⣿⢿⣿⣿⣤⡀⠀⠀⠹⢷⠃⢺⣿⣿⡿⠋⠀⣼⡇⢿⣿⣿⣿⣷⣤⣄⣀

⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣴⣶⣿⣿⣿⣿⣿⣿⣇⠛⣿⣿⣿⠿⠿⠿⢿⣿⣷⣄⢸⣿⣿⡿⠿⠿⠿⠿⠿⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣄⠀⠀⠀⠀⠈⠿⠟⠃⠀⣸⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿

⣿⣧⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡀⣻⣿⣿⣴⠦⢀⠀⢹⣿⣿⠀⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⡻⢿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣷⣄⠀⠙⠁⠀⠀⣠⣾⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣷⣤⡄⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣯⣧⣾⣿⡿⠀⣿⣿⣇⣀⣀⣠⣤⡄⠘⢿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣧⠘⣿⣿⣿⣿⣿⣤⣠⣴⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿

⣿⣏⣉⣟⡀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⣿⣿⡿⠿⠿⠿⠿⠇⠀⠀⣽⣿⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢸⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠈⢿⣿⠇⠘⠛⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠘⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⣿⣿⡇⠀⠀⠀⠀⢀⣠⣷⣶⣤⣿⣿⣾⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡛⠛⠃⠀⠀⠀⢠⣾⣿⣿⣿⡟⠛⠛⠛⠉⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣌⠉⠉⠙⢿⣿⣿⣿⣿⣀⣀⢸⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣷⣶⠀⠀⠀⠐⣿⡿⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣄⣀⣹⠿⠻⠿⢿⡿⠈⢹⠟⢿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣨⣿⣿⣿⣿⣿⣿⣧⣄⠀⠀⠀⠁⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠘⠂⣸⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠹⢿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠈⠻⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣶⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠉⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⢹⣿⣿⡟⢹⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⢹⣿⡇⢸⣿⣿⢛⣛⠋⠉⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⣾⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⠙⢿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠈⠻⠃⢸⣿⣿⣿⣿⠇⣀⣰⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⣿⣿⣁⣾⣿⣧⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣥⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣷⣤⣾⣿⣿⣿⣿⡄⠀⠀⢸⣆⠀⠀⠀⠀⠀⠘⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠸⣿⣇⢛⣿⣿⣷⣶⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⣿⣧⡀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⣿⣿⣟⠛⠿⠛⠛⠆⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⢹⣿⣧⡀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠠⣾⣿⣿⣿⣷⡄⠠⠀⠀⠀⠀⠀⠀⠀⠉⣉⣻⣿⣯⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⢹⣿⣧⡀⠀⠀⠀⠀⠀⢻⣿⣿⠿⣿⣿⣿⣿⣿⣿

⠉⠙⠻⢿⣿⣿⢻⣿⣿⣟⠉⠀⠀⠀⢀⠀⣴⣾⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢸⠿⣿⣧⡀⠀⠀⠀⠀⠈⢿⣿⡆⠈⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣦⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⢿⣿⣧⠀⠀⠀⠀⠀⠈⠻⠃⠀⠇⠈⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣆⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⠿⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿

⠀⠀⠰⣶⠀⠰⠄⠹⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢠⣷⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⡆⠀⠀⠀⠀⠸⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿

[39A⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⠟⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣿⣿⣧⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣴⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠿⠿⠿⠿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣟⠁⠀⢿⡇⠘⣿⣿⣿⡄⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣦⣄⡀⠀⠀⠐⠛⠿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠷⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠀⣨⣿⣿⡇⠀⠀⠀⠀⠈⠉⠁⣀⣿⣿⣿⣿⣿⣷⣶⣤⡀⠀⠈⠙⠂⣌⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿

⣶⣿⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣾⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠘⠿⠈⢁⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣾⣿⣇⠀⠀⠙⢿⣿⣿⣿⣿⣿

⠀⣿⣿⣏⠛⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣶⣶⡶⠶⠊⠉⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⢿⣿⣿⣿⣿

⠀⢿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣶⣦⣄⣀⣀⠀⠀⡄⠀⠀⠀⠀⣰⡿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠀⠀⣶⣼⣿⣿⣿⣿

⠀⠀⢸⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣶⣧⡀⠀⠀⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠿⠿⠿⠟⣿⣿⣿⡟⠛⣿⣿⡟⠀⠀⠀⣿⣿⣿⣿⣿⣿

⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣿⣿⣿⣷⣾⣿⣿⣿⡀⠀⠀⣿⣿⣿⣿⣿⣿

⠀⠀⠀⣿⣿⣿⡀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⣿⣿⣿⣿⣿⣿

⠀⠀⠀⣿⣿⣿⡗⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡿⠛⣹⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣍⣉⣽⣿⣿⣿⣿⣿⡇⠀⠀⢹⣿⣿⣿⣿⣿

⣶⣤⣶⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣯⣶⣾⣿⣿⣿⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠛⣿⣿⣿⣿⣿⠁⠀⠀⣿⣿⣿⣿⣿⣿

⠉⠁⠛⠋⠛⢿⡿⠁⠀⠀⠀⠀⠀⠀⠀⣾⣿⡿⠛⠻⢻⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣶⣀⢀⠀⠀⠀⠀⣶⣾⣿⡇⠀⠀⠀⠀⣠⡖⠀⠻⣿⣿⣿⣿⠀⢠⣴⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠙⠁⠀⢀⢨⡿⠿⠿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠤⠀⠙⠛⠛⠋⠉⠙⠋⠁⠀⣠⡀⠈⠙⠿⠃⠀⠀⠀⠻⣿⣿⣢⣾⣿⣿⡟⠋⠀⠈⠉⠙⠿⣿⣿⣿⣿

⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠘⠿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣷⡮⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⢸⣿⣆⠀⠀⣀⡀⡙⠻⢛⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠸⠿⠿⠿

⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠀⠈⠉⡩⠂⢼⣿⣿⣿⣿⠏⢿⡷⣶⣶⣦⣄⡀⠀⠀⠀

⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⣤⣤⣴⣶⣤⣄⣀⣀⣀⣐⣿⣤⣀⡀⠀⠀⠀⣀⣼⣿⣿⣿⣿⣿⣿⠏⠂⢀⣀⣀⣀⣀⣀⡀⠀⠀⢀⣤⣀⡀⠀⠀⠐⠀⠁⠹⣿⣿⡟⠁⢀⣾⡇⢻⣿⣿⣿⣿⣷⣦⣤

⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⢿⣿⣶⣄⣴⣿⣿⣿⣿⣿⠿⠿⠿⢀⣶⣿⣿⠿⠿⠿⣿⣿⣷⣤⣾⣿⣿⣷⣄⠀⠀⠀⠠⢀⠿⠛⠁⢀⣾⣿⡇⠸⣿⣿⣿⣿⣿⣿⣿

⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠐⣦⣴⣶⣿⣿⣿⠉⣿⣿⡏⠁⠀⠀⠀⠀⢸⣿⣿⡁⠀⠀⠀⢸⣶⣿⣿⣿⡿⣿⣿⣿⣿⣦⡀⠋⠁⠀⢀⣴⣿⣿⣿⣷⣀⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣶⣦⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⣿⣿⣿⣿⣿⡿⠀⣿⣿⣧⣤⣤⣤⣤⡄⠘⢿⣿⣿⣶⣦⣤⣀⢸⣿⣿⣿⣧⣸⣿⣿⣿⣿⣿⣦⣤⣾⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣁⣀⣀⣀⣀⡀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⣿⣿⡿⠿⠿⠿⠿⠇⠀⠀⠉⠙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣍⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⣿⣿⡇⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠘⣿⣿⣿⣿⣿

⣿⣿⣿⣿⠃⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⡇⠀⠀⠀⠀⠀⢰⣷⣶⣤⣤⣤⣿⣿⣿⠟⠻⣿⠟⢹⣿⣿⣷⣄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢿⣿⣿⣿⣿

⣿⣿⣿⣿⣦⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⠀⠀⠀⠀⠈⠉⠛⣿⣿⡛⠻⠋⠉⠀⠀⢿⡀⢸⣿⣿⣿⣿⣿⣶⣄⠉⠀⠙⢿⣿⣿⣿⣿⣤⣄⢸⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⠀⠀⠀⠀⣾⣿⣿⣿⠀⠀⠀⠀⠀⠈⠀⠸⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣀⣹⠟⠛⠛⠿⠿⠀⢹⠛⢻⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠘⠃⣸⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣇⢠⡀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣶⣾⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣾⣷⠀⠀⠀⠀⠀⣿⣿⣿⡟⠹⣿⣿⣿⣧⠀⠀⠀⠀⠀⠈⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⣿⣿⣿⡇⣸⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠈⠉⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⢸⣿⡿⠀⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠹⣿⣿⣿⣿⣯⠁⠀⠀⠀⠀⠀⠘⣿⡇⠀⣿⣿⣿⣿⡉⠉⠻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⡟⠟⠃⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠙⠀⢰⣿⣿⣿⠿⠷⣀⣰⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⣿⣿⣿⣿⣿⣶⣆⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣷⣴⣾⣿⣿⣿⣷⠀⠀⠀⣤⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⢺⣿⣿⡿⢿⡿⠿⣿⡆⠀⠀⠀⠀⢻⣿⣿⣿⠿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣆⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⢶⣾⣿⣿⣷⣶⠁⣤⠈⠁⠀⠀⠀⠀⠈⢻⣿⣿⣦⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣆⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠈⠛⠿⣿⣿⣿⣿⣿⣿⣼⡿⠁⠙⣿⣵⣶⣶⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⣰⣦⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⡄⠀⠀⢻⣿⣆⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣧⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⣽⣿⡆⠀⠀⠀⠀⠀⠀⢻⣀⠻⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠈⠛⠿⢿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⢿⣿⡄⠀⠀⠀⠀⠀⠸⠛⠀⣾⣿⣿⣿⣿

⠀⠀⠰⣶⠀⠰⠄⠸⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠈⠙⠿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⡆⠀⠀⠀⠀⢻⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠹⡋⢹⣿⣿

[39A⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠀⠀⠀⠀⠀⠶⠀⠀⠀⠀⠀⠀⠀⢈⣿⡟⠋⠁⣿⡟⠻⣿⣿⣿⣤⣤⣀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣁⠉⠉⠉⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠇⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠘⠃⠀⢻⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠾⠛⢻⣿⣿⣿⣿⣦⣤⣀⡀⠈⠉⠙⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣦⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢠⣾⣾⡿⢿⣿⣿⣿⣿⣿⣿⣶⣆⣀⣀⣸⣿⡟⠉⠉⢻⣿⣿⣿⣿⣿⣿⣿

⣿⣿⠿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣄⡀⠀⠀⠈⠉⠉⠙⣿⣿⣿⣿⣿⡂⢀⣀⣶⣦⣴⣾⠿⠛⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣆⠀⠀⠙⣿⣿⣿⣿⣿⣿

⣿⣿⡆⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠿⣿⣷⣦⡀⠀⢰⣶⣿⣿⣿⣿⣿⠷⣽⠿⠛⠉⠉⠀⠀⠀⠀⠀⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⣀⢹⣿⣿⣿⣿⣿

⠹⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣦⣸⣿⣿⣿⣿⣯⠽⠛⠁⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣿⠋⠀⠐⣿⣿⣿⣿⣿⣿⣿

⢰⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⡛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿

⢈⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿

⠀⣽⣿⣿⣿⠀⠀⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⢿⣿⣿⣿⣿⣿⣿

⢀⣽⣿⣿⣿⡆⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠘⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣌⠙⡻⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣠⣶⠶⣿⣿⣀⣶⣿⣷⠆⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣴⣉⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠉⠉⠛⠉⠀⠀⠀⠀⠀⠀⠀⣯⣀⣀⠈⠉⣽⣿⣿⣿⣶⣿⣷⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡇⠈⠛⣿⣿⣿⣿⡿⠛⠋⠀⠀⠀⠀⠀⠀⢀⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠈⠹⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠃⣠⣤⣿⠟⠿⣽⣤⣶⣿⣿⣶⣤⡀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣠⣿⣿⠃⠀⠀⣀⠀⠀⠀⡀⠀⠙⠛⠛

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢀⣿⣿⣏⠀⠀⠈⣝⣿⣿⣿⣿⣿⣧⡀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⡇⠀⢀⡀⢿⣿⣿⣿⣿⣤⣀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢨⣿⣿⣿⣇⣀⣀⡉⣑⣸⣏⣛⣿⣿⣿⡖⠀⠙⠛⣛⣉⣉⣉⣻⣿⣿⣿⡿⠛⢉⣠⣶⣤⣤⣴⣾⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⢿⣿⡇⢠⣿⣷⠸⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⡿⢶⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⢿⣿⣷⡄⠀⣿⣿⡿⠿⠿⠿⠿⠿⢀⣾⣿⣿⣿⣿⣿⣿⣿⡏⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⡀⢹⣿⣿⣿⣿⣿⣿⣿

⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣶⣦⣴⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⡀⢹⣿⣿⠀⣿⣿⡇⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣷⣼⣿⣿⣿⣿⣿⣿⣿

⣿⣷⠂⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⡿⣿⣿⡏⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⣿⣿⣇⣀⣀⣀⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⡿⠓⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣿⣿⣿⣿⣿⣿

⣿⣿⣀⣀⣀⣠⣄⠀⠀⠀⢠⣿⣿⣿⣿⠿⣿⣿⡇⣿⣿⡧⠤⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⢀⣟⠀⠀⠀⠀⢀⣿⣷⣿⣿⡏⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣧⣾⣿⣿⣿⣿⣿⣿⡟⣭⡻⠉⠉⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠘⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢻⣿⣿⣿⣿⣿

⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠘⣿⣤⣶⣶⣾⣿⣿⣿⣿⣿⣷⣌⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⢻⣿⣿⣿⣤⣤⣾⣿⣿⠇⠀⠀⠀⠀⠀⢿⣷⣄⡐⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿

⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢛⢿⣿⣿⣿⣿⣷⡌⠙⠛⠿⠿⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣧⣄⠀⠀⠙⢿⣿⣿⣿⣿⣿⣦⠹⣿⣿⣿⣿

⠿⠟⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠴⣺⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⣠⡏⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣷⣶⣄⡁⠙⠛⠛⠛⠋⠀⢻⡏⣿⣿

⠲⠶⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣡⣬⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣾⣦⡀⠀⠀⠀⢘⣧⣿⣿

⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢴⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⠀⠀⠀⠀⠀⠀⠀⢀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿

⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣻⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⣓⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠟⠱⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡿⢿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⠇⣽⣿⣿⣇⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⡈⠉⠀⠙⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠸⣿⡿⠟⠀⣸⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⡶⠀⠀⠹⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⣿⡇⠀⢰⣿⣛⡛⠛⣿⡄⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⡇⠀⠀⠀⠈⠻⣿⣿⣿⣿⣶⠀⠀⠀⠀⠀⠘⠃⠀⣾⣿⣿⣿⠆⣻⣧⡀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⣭⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣭⣤⣴⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⢸⣿⡿⢿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠘⣿⣿⣶⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⠀⠀⣇⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⣿⣿⣿⣿⣷⡄⠀⠀⠛⣛⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⡄⠀⢿⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢿⣿⣿⡟⠛⠁⠀⠀⣼⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⡆⢘⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿

⠀⠆⠲⣶⠀⠶⠄⠠⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣎⠉⠉⠁⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡟⠉⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿

[39A⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⣤⠄⠉⠀⠀⠀⠀⠀⠀⢻⣿⠛⠋⢠⣿⠛⢿⣿⣿⣧⣾⣿⣤⣀⡀⠀⠀⠀⠀⢀⣿⣿⣿⣿⠉⠙⠛⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠀⠀⠀⠿⠀⠈⢿⣿⣿⠿⢿⣿⣿⣿⡿⠀⠀⠀⠼⠿⣿⣿⣿⣿⣷⣤⣀⠀⠀⠉⠉⠛⠿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⣧⣰⣿⣿⣿⡆⠖⢻⣿⡇⠀⠀⠀⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⢸⣿⠟⠋⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⡀⠀⠀⠀⠙⠉⠛⢿⣿⣿⣿⣿⣷⣾⣿⣿⡄⠀⠀⠀⣩⣿⣿⣷⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⡄⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿

⠈⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣶⣦⣀⠀⠀⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡴⢟⣻⠿⠟⠉⠁⠀⠀⠀⠀⠈⠙⠻⠿⣿⣿⣿⣿⡿⢿⠄⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠂⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣧⡀⣿⣿⣿⣿⠿⣿⣿⣿⣿⡿⠟⣁⠶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⣿⣾⣿⣿⣿⣿⣿⣿⣿

⣿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⡟⠃⢻⣿⡿⠿⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣷⣦⡀⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡄⠀⢠⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⠹⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿

⣿⣿⣷⠀⠸⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢨⣴⣾⣿⣿⣿⣿⡿⠉⠀⠀⠀⠀⢀⣠⣾⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿

⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⢀⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣀⠀⠙⠿⣿⣿⣿⣿⠁⢀⡀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿

⠿⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⣾⣿⣿⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣦⡀⢸⣿⣿⡇⣠⡿⠃⣴⣿⣿⣿⣤⣉⠛⢿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡆⠀⢰⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣷⡉⠁⠀⣿⣿⣿⣿⣿⣿⣷⣦⣈⠙⠻⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣧⣀⣨⣿⠟⠉⠀⠀⣀⣀⣀⢀⠀⠀⠀⠀⢠⣶⣿⣿⣿⣿⣿⡏⢸⣿⣿⠇⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡄⠉⠙⠿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣦⡄⠀⠀⠀⠀⠸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⢨⣿⣿⡇⠀⠀⠀⠈⠛⠿⣿⣿⣷⣖⣤⡀⠸⠿⠿⠿⠿⠿⢿⠇⢸⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣁⣀⣀⡀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⠃⠀⠐⢤⣀⠀⠀⠈⠙⠻⢿⣿⣅⣀⡀⠀⠀⠀⠀⢠⡆⢈⣿⡟⢀⡀⠀⢸⣿⣿⣿⣿⠟⠛⠁⠀⠀⢀⣤⣶⡄⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣷⣶⣦⣤⣀

⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣦⣬⠟⣠⡄⠀⠀⢸⣿⣿⣾⣯⣀⣀⣀⣈⣛⣿⣿⣷⣶⣶⣶⣿⣧⣄⣈⣀⣸⣷⣤⣾⣿⣿⣏⣀⣤⣤⣤⣤⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⣴⣏⡉⣉⣋⡀⢈⡏⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⢿⢿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠗⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⣿⣿⣿⣿⠿⠿⠿⡿⢿⣿⣿⡿⠿⢿⣿⡿⣉⣁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣇⣀⣀⣤⣄⡀⠘⢿⣿⣿⣶⣦⣬⣟⡌⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿

⣤⣴⣶⣶⣆⠀⣴⡿⠋⠙⠛⠉⠉⣇⡀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠇⠀⠀⠉⠛⠻⠿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⣿⣿⣿⣿⡇⢹⣿⣿⣿⣿⣿⣿⣿

⠟⠛⠛⠛⠋⠀⢾⣶⠀⠀⠀⠀⠘⠋⠁⠀⣠⣤⣤⣿⣿⣿⣿⣿⣿⣿⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣾⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⢠⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⢰⣷⣶⣤⣤⣤⣶⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣿⣿⣿⣿⣿⣿⣿⣧⣄⠹⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣾⣽⣻⡛⠟⠟⠛⠋⠁⠀⠀⠀⠀⠀⡠⠄⠀⠀⠀⠀⠹⢿⣿⣿⣿⣿⣿⣿⣿⠇⠻⡿⢿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠈⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣙⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⠁⠈⠁⠀⠀⠇⢸⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⣴⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣷⣄⣀⣀⣠⣶⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢸⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⣠⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢁⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠍⢸⣿⣿⣿⣿⣿⠿⣟⠋⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡟⣿⣧⠀⠀⠀⠀⠀⠀⠀⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⠈⠀⢸⣿⡿⠟⠋⢁⣤⣿⡇⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⠅⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣽⠉⠀⠀⠈⠉⣀⣴⡾⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢻⣿⠿⠃⢠⣾⣿⣿⣦⠀⠀⠀⠀⠀⠀⠐⢿⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣶⣿⣿⣇⠉⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠘⡿⠀⠀⢸⣟⣉⠙⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠈⢸⣿⣿⣿⣿⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡄⠙⣧⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠘⠙⣿⣿⡿⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣤⣤⣴⣾⣿⣇⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⢀⣬⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡟⠀⢠⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠉⠀⠀⠀⠀⠈⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣿⣿⠿⢿⡇⠀⢸⡄⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡟⠁⠀⠈⢷⡄⠸⡧⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣠⣤⣤⣤⣄⠀⠀⠀⢨⣥⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣦⣿⣶⣾⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿

⠀⠀⠲⣶⠀⠶⠄⠠⠰⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠰⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿

[39A⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣴⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⣈⠿⠇⠀⠀⢀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣄⣤⣼⣿⡇⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣦⣀⠀⠀⠀⠈⠉⠉⠻⣿⣿⣿⡏⠀⠈⢿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠉⠛⢻⣿⣿⣿⠿⣿⣿⣿⠿⠟⠛⠋⠉⠉⠳⠄⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣷⣦⣄⠀⠀⢀⣤⣾⣿⣿⠂⠀⠀⠈⢻⣿⣿⣿⠀⠀⠀⠀⠀⠀⣠⣿⡟⢋⣠⡶⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠟⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣧⡀⣸⣿⣿⣿⡏⠀⠀⠀⠀⠸⣿⣿⠟⣆⠀⠀⠀⠀⣰⡟⠁⣴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠈⠁⠀⠻⠃⠀⠀⣾⣿⣶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⠁⠀⠀⠀⢠⣶⣶⣀⠀⠀⠀⠶⠆⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠰⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡹⣿⣿⣿⣿⣷⣾⣿⣶⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣿⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻

⠀⠀⠀⠀⡀⠀⢀⣠⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠘⠿⠇⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⣦⣀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⡄⠀⣠⣴⣿⣿⣿⠛⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣷⡄⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⢀⠃⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣆⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⣠⣦⡀⠈⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢀

⠀⢻⠿⣿⣿⣿⠟⠀⠀⣀⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⡿⠀⢻⣿⣷⠈⠻⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣛⠙⠻⢿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⡧⠀⠀⠀⠀⠀

⠀⠀⠀⣿⣿⡿⠀⠀⠀⣿⣿⢻⣯⣀⡀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⢸⣿⣿⣧⠀⠈⢻⣿⣿⣿⣧⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣶⡄⠉⠛⢿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣃⠀⠀⠀⠀⠀

⣀⣀⡰⢿⡿⠀⠀⠀⠀⠈⢣⣿⣿⣿⡇⠀⠀⠀⠀⠀⠠⣄⣀⣀⡀⢀⣾⡀⠘⠋⠀⠀⢀⣶⣾⣿⣿⣿⣿⣄⡀⠀⠀⠀⢸⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠸⣿⣿⡿⣻⢿⣿⠂⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣷⣶⣄⣀⣀

⠿⠿⠿⠖⠒⠿⠀⠀⠀⠀⠈⠉⢩⣙⠇⠀⣶⣦⣄⠀⢠⣠⣽⠿⢏⣭⣿⣿⡄⠀⠀⠀⢻⣿⣿⣧⣼⣿⣿⣿⣿⣆⠀⠀⢸⣿⣿⡟⠱⠈⠀⣀⣤⣶⡆⠀⣿⡇⠈⠌⠈⠹⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿

⣶⣶⣶⣶⣤⡴⠀⠀⠀⠀⠀⠀⠨⠉⡇⠀⣿⣿⣿⣿⣿⣿⣿⣆⣠⣿⣿⣿⣁⡀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⢈⣽⣿⣷⣤⣶⣿⣿⣿⣿⡇⠀⠏⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠙⡇⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⣤⡃⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⣀⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⡈⠀⡀⠀⠀⠀⠀⣺⣶⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡨⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠰⠖⠘⠇⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠙⢿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠙⠏⠉⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠹⣿⣿⣿⣿⣿⣿⣦⣄⡀⢰⣷⣶⣤⣤⣤⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⣰⣶⣶⣶⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣮⡉⠛⠛⠛⠛⢛⣋⡁⠀⠀⠀⠀⠀⠀⢠⣶⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⣰⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⢠⣾⣿⡏⠀⠀⠀⠀⠀⠀⠈⠿⠀⡀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⣹⣿⣿⣿⣿⣿⣿⡷⡂⠀⠀⠈⠙⠉⠀⠀⠀⠀⣠⣤⡀⠀⠀⢸⣿⣆⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠊⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⣰⣿⣿⣿⣿⣿⣿⣿⣮⣮⣧⣄⣀⠀⠀⠀⠀⠀⢼⣿⣿⣿⡄⠀⠈⢻⣿⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⠿⣿⢥⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠈⠻⠄⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⡟⠛

⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠁⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣧⠀

⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⠟⠋⢀⣠⡄⠀⠀⢀⡤⠀⠀⠀⠀⠀⣿⣿⣿⡟⢀⣽⣦⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠛⠉⢽⣿⣿⣿⣿⠀

⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣛⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠉⠉⣀⣴⣾⣿⣿⠧⠀⠀⡼⠁⠀⠀⠀⠀⠀⣿⣿⣿⠇⠸⠿⠿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡄

⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣤⣶⣿⣿⣿⠑⠃⢫⣬⡀⠀⠾⠀⠀⠀⠀⠀⠀⣿⣿⡿⢀⣴⡄⠀⢢⠀⠀⠀⢠⣄⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⠀

⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢛⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡇⠘⠛⠁⢀⣼⣿⡄⠀⢸⣿⣆⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⠀

⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣟⠏⡉⠉⠉⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠃⢰⣿⣿⣿⣿⣿⡇⠀⠈⣿⣿⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣆

⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣗⠕⣇⡆⠰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠰⣿⣿⡀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢈⡤⠍⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⣿⣿⣿⠻⣿⡇⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿

⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣹⣥⢀⡿⠁⠀⠀⠀⠀⢤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠉⢿⠀⠈⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿

⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠎⠀⠀⠀⠀⠀⠀⣀⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣥⣠⣶⣷⣿⠇⠀⠘⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿

⠀⠆⠲⣶⠀⠶⠴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⣿⠿⠙⠁⠀⠀⠀⠀⠀⣾⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⠁⠀⠀⠈⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠈

[39A⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣤⣀⠀⠀⠀⠀⠀⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⢹⣿⡇⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⡿⠿⠛⠛⠉⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣷⣄⠀⠀⣼⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⢿⠇⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⡿⠛⢁⣠⣴⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣦⣤⣿⣿⣿⡟⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣿⣿⣿⣿⣿⡿⠋⢀⣴⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢻⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⡿⠀⠀⠛⠃⠀⠀⠀⣀⣄⠀⠀⠀⣀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣤⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿

⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣄⠀⠀⠀⣠⣤⣤⣼⣿⣿⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿

⣀⡀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣘⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿

⠘⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠉⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈

⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠂⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⣤⡀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⡏⠁⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣶⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠐⠳⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⡿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣴⣾⣿⣿⣿⡿⠀⠸⣿⡟⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠁⠀⠀⡤⡶⣆⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠿⠛⠛⠋⠀⠀⢻⣷⡄⠀⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠻⠂⢐⣤⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⣸⠿⣿⡄⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣶⣴⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣀⣠

⠀⠀⠀⠀⠸⢷⡿⠻⡷⢠⠀⠀⡀⢀⠀⠀⠀⠀⣠⠠⣴⣇⠀⠉⠀⠀⢀⣤⣤⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⣿⣿

⠀⠀⠀⠀⠀⠀⢀⡄⢈⡻⣻⣿⣿⡄⡇⢠⣤⠀⠀⢀⣸⣿⣷⠀⠀⠀⠈⣿⢻⣿⣤⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠘⠀⢬⢧⣿⠿⣿⣿⡿⣿⣿⣦⣀⠺⢿⡟⠁⠀⠀⠀⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠴⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⢳⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⡀⢀⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⢀⣀⣬⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢃⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⠟⢻⣿⣿⣆⠀⠀⠀⢠⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⢸⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⡿⠻⠂⠀⠈⠻⣿⣧⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⣘⣥⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⢻⠈⠀⠀⠀⠀⠀⠀⠙⠁⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣤⠀⠀⠀⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢿⣿⣿⣿⣿⣿⣿

⣿⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠙⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠓⣞⠀⠀⠀⢀⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⢿⣾⡏⠉⠉⠉⠛⠿⣿⣿⣿⣿⣿⣿⣹⠉⠋⠈⠀⠀⠀⠀⠸⣿⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⢿⣿⣿⣿⣿⣿⣿

⣧⠄⠀⢠⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⢿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⠈⠙⠙⠻⠿⣿⣿⣷⡀⠀⠀⠀⢀⠀⠀⠉⢸⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿

⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠰⣦⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠻⠿⠛⣅⠀⠀⢸⣿⡆⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⡛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠉⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠉⠂⠀⠘⣿⣿⡀⠀⠀⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣏⠀⠘⢿⣿⣿

⠀⠀⠀⣹⣿⣿⣿⣿⣿⣿⣷⣿⣯⣿⣷⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⣸⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⠇⠀⠀⠀⢻⣿⡄⠀⠀⠀⠀⠀⠀⠈⣿⣿⠆⠀⠀⢻⣿

⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⣿⡿⠟⠋⢀⣠⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⣿⡍⢀⡀⠀⠀⠈⢿⣷⡀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠈⢿

⠀⠀⣾⣿⣿⣿⣿⣿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⢉⣠⣤⡀⠀⠻⠋⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⡿⠃⠘⠋⠀⠀⠀⠘⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⢠⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣷⠀⠀⠈⡁⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⡆⠀⠀⠀⢀⡀⠀⠀⢹⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⠃⠀⠀⢀⣿⣿⠀⠀⢸⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡇⠀⣾⣿⣿⣿⣿⠀⠀⢸⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⣿⣿⣿⣿⣿⠀⠀⠸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀

⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⡀⠀⢰⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀

⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠢⠈⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⠿⣿⠟⢿⡇⠀⠈⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠽⡛⠃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⣀⣀⣼⡇⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶

⠀⠆⠲⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡟⠁⠀⠀⢰⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈

[39A⠀⠀⠀⠀⠀⠀⠘⣿⣿⣦⠀⠀⠀⣿⣿⣿⣿⡀⣀⣤⣤⣤⡀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣧⡀⣈⣼⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠈⠛⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⣰⣶⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣷⣦⣄⡀⡀⢀⣠⣾⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠸⢷⠚⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠘⢷⣤⣀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⡿⠋⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣶⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠁⠀⠀⢴

⠀⠀⠀⠀⠀⠀⣀⣤⣼⣿⣿⣿⣿⡇⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠂⠀⠀⢀⣤

⠀⠀⠀⠀⠀⠀⠻⣿⣿⡿⠿⠟⠋⠀⠀⢻⡄⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣶⣶⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⡀⠀⠀⠀⠀⣾⣿⣿⠟⠋⠉⠛⠛

⠀⠀⢀⣰⣄⡀⢀⣴⣤⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢋⣿⣿⣿⣿⣿⣿⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⣤⣤⣤⣼⣿⣷⣤⣦⣶⣾⣿

⠀⠀⣼⣿⣿⣿⣿⣿⣿⣁⣠⣴⣶⣶⡀⠀⠀⠀⠀⠀⢠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠐⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠸⡟⣩⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⡅⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣶⣀⠶⠀⠀⠠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠉⠉⠉

⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⣀⣴⣿⣿⣿⡛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣆⣀⣀⣀⣀⠀⠀⢀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⠒⠂⠀

⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⡇⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⢀⣶⣿⣿⠿⠿⠿⢿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⢸⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣸⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣤⣤⡄⠘⢿⣿⣿⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠇⠀⠀⠉⠙⠛⠿⢿⣿⣷⡄⠀⠀⠀⢰⠆⠀⠀⠋⠀⠀⠀⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣰⣷⣶⣤⣤⣤⣴⣿⡿⠋⠻⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠉⠛⠛⠛⠛⠛⠋⠀⠀⠀⠈⠛⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⢠⡟⠻⣿⣿⣿⣿⣿⣿⠿⠛⠁⠀⠀⠀⠀⠀⠀⣰⣿⣦⡀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⡖⠒⣀⣈⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠈⢿⣶⡿⠻⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⡀⠀⠀⢠⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⢸⣿⣁⢠⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣧⠀⠀⠈⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⢘⣿⣿⣿⣿⣿⣿⡇⠀⠀⠈⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⢉⣉⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠋⢀⡀⠀⠀⠸⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠿⣿⣿⠀⠀⠀⢻⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠈⠉⠛⠉⠉⢉⣠⣶⣆⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣁⣀⠀⠀⠀⠀⠀⠈⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⢠⡤⣠⣾⣿⣿⡟⠁⠀⠀⠀⠀⠀⠈⢿⣿⣿⡿⠿⠿⠀⢀⣶⡄⠀⠀⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠸⣿⠞⢿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡿⠀⣠⣤⣴⣿⣿⡇⠀⠀⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣀⣀⡀⠘⠝⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⡇⠀⢠⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠈⠙⠻⠟⠁⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢻⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⣿⣿⣿⣇⠀⠈⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡏⠀⠰⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣴⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠉⠉⠀⠀⢰⣿⣿⣿⡇⠀⠀⠀⠀⢠⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿

[39A⠀⠀⠸⣿⣷⡄⠀⠀⠀⣿⣿⣿⣄⣀⣤⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⢹⣿⣷⣄⠀⣰⣿⣿⠟⠛⠿⠟⠻⣿⣿⣿⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠘⣿⣿⣿⣷⣿⣿⠟⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠹⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣷⣦⣀⣀⣀⠀⠀⢀⡀⠀⢰⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣶⣄⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠈⠿⠈⠙⠛⢿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⠇⠀⠘⠿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿

⠀⠀⠀⢳⣶⣶⡄⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⢀⣀⣀

⠀⠀⠀⢈⣿⣿⣿⣶⣾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⣾⣿⣿⣿

⠀⣠⣶⣾⣿⣿⣿⡿⡏⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⢿⠿⠿⠿⠿⠿⠟⠋⠁⠀⠀⣠⣿⣿⣿⠿

⠀⠙⠿⠿⠟⠛⠋⠀⠀⠀⠀⢀⡀⠉⠻⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⡇⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠗⠀⠀⠀⠻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣶⣾⣿⣿⣿⣿⠃⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣷⣶⣤⣄⡀⠀⠀⠀⠐⣿⣿⡟⠉⠉⠉⠉⣉⡁⠀⠀

⠀⣀⣶⣶⡆⠀⠀⠀⠀⡤⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣤⣿⣿⣿⣶⣶⣿⣿⣿⣿⡆⣿

⣀⣿⣿⣿⡇⠀⣶⣶⣷⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁

⣿⣿⣿⣿⣧⣤⣽⣿⣿⣦⠀⣠⣶⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠁⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⣀⣀⣀⡀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⣀⣀⣀⣀⣀⠀⠀⠀⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠐⠀⠀⠀⣶⣾⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⡀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣷⡄⠀⣿⣿⡿⠿⠿⠿⠿⠟⠀⣴⣿⣿⠿⠿⢿⣿⣿⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠈⠉⠉

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⢹⣿⣿⠀⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⠁⠀⠀⣸⣿⠇⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣼⣿⡟⠀⣿⣿⣇⣀⣀⣀⣀⡀⠈⢿⣿⣷⣶⣿⣿⣿⠂⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⣿⣿⡟⠛⠻⠛⠛⠃⠀⠀⠉⠻⣿⣿⣿⣿⣷⡄⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣷⣠⣴⡂⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣿⣿⠃⠀⠀⠀⠀⣰⣿⣿⣶⣤⣄⣠⣴⣿⣿⠋⠙⠛⠃⢸⣿⣿⣿⣿⡿⢿⡟⠛⠛⠛⢿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠛⠙⠃⠀⠻⠿⣿⣿⣿⣿⣿⡿⠟⠋⠀⠉⠁⠀⠀⠀⠀⢀⣿⣿⣿⣿⣟⠛⠛⠛⢻⣷⣶⣶⣶⡂⢸⣿⣿⣿⡿⠃⠀⠁⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀

⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⢰⣦⣼⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠟⣿⣿⣿⣿⣆⠀⠀⠈⣿⣿⣿⣿⠅⢸⣿⣿⣿⠓⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⣭⠉⣹⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡆⠈⠙⢿⣿⣿⡀⠀⠀⠈⢿⣿⡇⠀⢈⡿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⢀⣤⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⣸⣿⣧⠀⠀⠀⠙⠻⠇⠀⠀⠀⠀⠀⠐⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠈⢙⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠈⠝⠿⣿⡟⠻⣿⣆⡀⠀⠀⠀⠀⠀⣿⣿⣿⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠈⠑⠦⡀⠀⠀⠹⣿⣷⠀⠀⢰⣴⣾⡿⠛⣃⣴⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣶⣤⣨⣿⣄⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣷⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢹⣿⣿⠆⠀⠀⠀⠀⠀⢀⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣦⣄⣀⣀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⠋⠀⠀⠀⠀⠀⢀⣶⡀⠀⠀⠀⠀⣼⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣧⠀⠀⠀⠀⠙⠿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠿⠻⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡄⠀⠀⠀⠀⠀⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⠀⠀⠀⠀⠀⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣔⣿⣿⠀⠀⠀⠀⠀⢹⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿

[39A⣦⡀⠀⢸⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⢿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣷⣤⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣋⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⢹⣿⣿⣿⣿⣧⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⡿⠿⣿⣿⣿⡏⠀⠀⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡄⠀⠀⠀⢀⠀⠀⠀⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⡀⠀⠀⠙⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡄⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣦⣤⣾⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣷⡀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠀⠀⢀⣈⣹⣿⣿⣿

⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⡏⠻⠋⠉⠉⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠾⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⢉⣠⣼⣦⣤⣤⠀⠆⠀⠀⠙⠻⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠃⠀⠀⣠⣿⣿⣿⣿⢟⣿⣿

⠿⠿⠋⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⠟⠋⢀⣤⣶⣿⣿⣿⣿⣿⠍⠀⠀⠀⠀⠀⣤⣼⣿⣿⣿⣶⣄⣀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⡿⠁

⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠿⠛⠉⣀⣴⣾⣿⣿⣿⣿⣿⣿⣟⣜⡄⠀⠀⠀⢠⣤⠞⠻⣿⣿⣟⠛⠻⣿⣿⣿⣶⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⣶⣶⣾⣿⣿⣿⣿⠟⠉⠉⢠⣀

⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⢁⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠞⠅⣀⣀⢀⣿⣿⠀⠀⠉⠹⣿⣿⣶⣼⣿⣿⣿⣿⣿⣿⣶⣦⣤⣀⠀⠀⠀⠀⢸⣿⣿⡿⠛⠛⠛⠛⣿⣏⠀⣀⣰⣿⣿

⣿⠃⠀⠀⢹⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢟⠃⠀⠨⣿⣿⣿⡿⠯⡀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣤⣿⣿⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿

⣀⣴⣶⣾⣿⡀⡀⠀⠀⢠⣾⣶⣤⡀⠀⠀⠀⢀⣉⡛⠿⣿⣿⣿⡟⠽⢻⠻⢻⠏⠃⠀⠀⠀⠀⠀⠘⣿⡿⠁⠀⠀⠀⠀⠿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿

⣿⣿⣿⣿⣿⣷⣃⣠⣴⣿⣿⣿⣿⣿⠇⠀⠐⠋⠀⠀⠀⠀⠉⠁⠉⠲⢑⢌⠐⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⣀⠀⠀⠀⠀⠀⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠉⠉⠉⠉⠀⠀⠹⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠋⠁⠀⠀⠀⠀⠀⣀⣀⡀⠀⢀⣀⣀⣈⣁⣀⣀⠀⠀⠀⠀⣀⣀⣀⣶⣿⣿⣧⣀⠀⠀⠀⣀⣀⣀⣀⣀⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⠁⠒⠒⠀⢲⣶⣾⣷⠆⠻⠿

⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠿⠿⠿⢿⣿⣷⡄⠀⣿⣿⣿⣿⣿⣿⣿⠿⢀⣴⣿⡿⠿⠿⠿⣿⣿⢯⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⡿⠿⠋⠀⠀⠀

⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⠀⢹⣿⣿⠀⣿⣿⣇⣿⣿⠟⠁⠀⢸⣿⣿⣥⣄⠀⠀⠀⠀⠘⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣦⣀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⢀⣼⣿⡟⠀⣿⣿⣿⣿⣷⣤⣀⡀⠈⢿⣿⣿⣷⣤⣤⣀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣧⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⡇⠀⣤⣤⣀⣿⣿⣧⠀⣸⣿⣿⣿⣿⣿⣿⠿⠛⠀⠀⣿⣿⡿⠿⣿⣿⣿⣿⣶⣾⣿⠛⠻⠿⣿⣿⣷⡄⠀⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣆⠀⠀⣰⣿⣿⣿⣿⣿⣿⡷⠠⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⠀⠀⠀⠀⣠⣴⣶⣶⣿⣿⡇⠀⠈⠹⣿⣿⣿⣿⣷⣶⣄⠀⠈⣿⣿⣿⠀⠀⠀⠈⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⡯⠈⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣇⡀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣟⠀⠘⠛⠋⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠙⢿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣦⡄⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣇⡀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⢀⡈⠙⢿⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡟⢁⣁⡀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣯⣾⣿⣿⣾⣟⡉⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠇⣿⡿⠟⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡏⠁⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠘⢻⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⢿⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⡇⢼⠄⠀⢀⣼⣿⡄⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠍⠃⠀⠈⠙⢻⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⡋⠀⢀⣠⣾⣿⣿⣿⣷⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠛⢻⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⡄⢰⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣯⣫⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⠄⢸⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⠍⠀⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⣿⣿⣿⣿⣿⣷⡀⠀

⣿⣿⣿⣿⣿⣿⠿⠇⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡿⢻⣿⣿⣿⣿⣦

⣿⣿⣿⣿⣿⠏⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⢻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣶⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿

⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⢰⣦⡄⠀⠀⠀⠀⠀⠺⠛⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡿

⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⡿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⣿⣿⣿⣿⣿⡇⢠⡆⢰⣿⡗⣾⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⣾⣿⣿⣿⣷

[39A⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⣰⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⠛⢿⣿⣿⠁⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣦⣾⣿⣿⡆⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⢠⣾⣿⣿⣿⣿⣿⣿⣷⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⠀⠀⠀⠀⠈⠛⣿⣿⣿⣿⣿⣿⡟⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣧⠀⠀⣠⣶⣶⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⢉⣽⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣽⣿⣿⣿⣿⡟⠛⠋⣫⣭⣿⣿⣿⣿⣿⠇⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⢸⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠉⠁⠺⡝⣻⣤⣤⣟⢻⣿⣿⣿⣿⣿⡀⢠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⠁⠉⣉⣹⣿⣿⣿

⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣻⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣶⣦⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠈⠉⠉⠙⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠲⣶⣿⣿⣿⣿⣿⣿

⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⢝⢗⣵⡍⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠙⣿⣿⣿⣿⣩⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠀⠀⢀⣿⣿⣿⣿⠟⠋⢽

⠗⠀⠀⠉⠙⠏⢉⡽⣹⣿⢿⣝⣞⠀⠀⠈⠙⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢰⣿⣿⣿⣿⣿⣿⣿⡯⢉⣿⡄⢀⣀⡀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣏⠐⠂⠀

⠀⠀⠀⢐⣶⣞⠢⢰⠄⠀⠈⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡇⠈⠉⠛⠂⢻⣿⣿⣿⣷⣿⣿⡗⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣶⣶⣶⣿⣿⣿⣿⡿⠋⠀⢀⣄

⣀⠀⣀⣾⣿⣿⣦⣾⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣾⣿⠀⠀⠀⣶⣶⣾⣿⣿⣿⣿⣿⣿⣷⣼⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣀⡀⠀⠀⠀⣿⣿⣿⠿⠛⠛⠛⣿⣿⠃⠀⣠⣾⣿

⣿⠷⣿⣿⣿⣿⣿⣿⡿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠇⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣠⣾⣿⣿⣶⣶⣶⣶⣿⣿⣷⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠉⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠀⠀⣀⡀⠀⠀⠀⠉⠉⠉⠙⠩⠟⡋⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⢀⣀⣀⣀⣀⣀⣀⠀⠀⢶⠀⣀⣐⣿⣇⣀⣀⣀⣀⠀⠀⠀⣀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠉⠉⠉⠁⠀⠘⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠿⠿⠿⢿⣿⣷⣄⢻⣿⣿⣿⠿⠿⠿⠿⠿⢀⣴⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠉⠀⠲⠀⠠⣶⣶⣶⡆⠘⠻

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⡇⠀⠀⢀⣀⡀⢸⣿⣿⡁⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⠿⠛⠃⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣇⣀⣠⣤⣿⡅⠈⢿⣿⣿⣶⣦⣤⣽⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣦⡀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⠿⠟⠿⣿⣿⣿⣿⣿⣿⣿⠿⠇⠀⠀⠉⠛⠻⠿⣿⣿⣿⡄⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣷⣆⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣷⣦⣄⣀⠀⣿⣿⡇⠀⢸⣿⣿⠀⣀⣀⣀⣀⡀⠀⠀⣿⣿⣿⣿⣿⣿⣶⣶⣷⣶⡦⠀⠀⠀⠀⣿⣿⣷⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⡯⡄⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣴⣿⣿⠇⠐⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣯⣉⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠃⠀⠘⠛⠛⣿⣿⣿⣿⣿⣿⣿⣆⠛⠛⠃⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⠁⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣏⣎⣠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠰⠀⠀⠀⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⢿⣿⣿⡟⠁⠹⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠹⠗⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣟⠱⣿⣿⠆⠀⠀⠙⠋⢸⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣇⢠⣶⣶⡄⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀

⣿⣿⡇⠀⣿⣿⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⠟⠈⠉⠉⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀

⣟⠈⠀⣠⣿⡟⠀⠀⠀⠀⠀⣤⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀⢀⣶⣆⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀

⠁⠀⠀⠁⣿⡇⠀⠀⠀⠀⠀⠘⢿⢿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⡟⠉⠀⢀⣴⣿⣿⣿⡆⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀

⠀⠀⢀⣶⣿⣷⡆⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣧⢀⣴⣿⣿⣿⣿⣿⡇⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠙⢻⣿⣿⣿⣿⣿⣿⣷⣦⣀⣀

⠀⠀⢸⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⢠⠀⠘⠻⠛⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⡏⠀⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠈⢹⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠐⢿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⢾⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢰⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠈⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣦⣄⠀⠀⠀⠀⠀⠹⣿⢿⣿⣿⣿⣿⠿

⠀⠀⢀⣜⠁⠛⠃⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⣿⣿⣿⣿⣦

⣀⣠⣼⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⣻⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⢰⣿⣶⣷⣀⣄⡄⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡄⢸⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣷⡄⠀⢸⣿⣿⣿⣿⣿⣯⣄⣈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣾⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣷⡶⠠⠖⠆⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠹⣿⣿⣿⣿⣿⣿⣿⡟⠋⠙⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿

[39A⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠦⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣧⣄⣀⣀⣠⣿⠃⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣶⡄⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⡀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢸⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⠿⠋⣿⣿⣿⣿⠛⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣶⣶⣾⣿⣿⣿⣿⣶⣿⣿⣿⣷⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡄⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠛⢻⣿⣿⣿⣿⣿⣿⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⡟⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠿⠛⢿⣤⣄⡀⠀⣤⣴⣦⣄⡈⠛⠿⠟⠉⠁⣀⣀⣼⣿⣿⣿⣿⠇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿

⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⡿⢿⣿⣶⣿⣿⣿⣿⣷⣤⣠⣴⣶⢤⣬⣿⣿⣿⣿⣿⡄⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⣠⣤

⣿⣿⣿⣿⣿⡿⠿⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠉⠙⠛⠋⢙⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠈⠛⣿⣿⣿⠏⠀⠀⠀⠉⠉⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠻⣿⣿⣿

⣿⣿⣿⣿⣿⣷⢀⣾⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠈⠿⣿⠿⠿⠿⠟⠛⠛⠛⠛⠛⠉⠀⠀⢀⣴⣿⣿⣿

⣿⣿⣿⣿⣿⣿⠸⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡟⢩⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣻⣿⡆⣤⣤⣤⣶⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿

⣿⣿⡟⠛⠛⠁⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣾⣿⠁⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⢠⣿⣿⠀⢸⣿⣿⣿⣿⣿⣦⣄⣀⡀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏

⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠁⠀⠀⠀⠀⠻⠿⠿⠛⠛⢻⣿⣿⣿⡿⠟⠉⠀⣠⣿⣿⣿⡅⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣀⠘⣿⣿⡟⠋⠉⠉⣻⣿⣇⠀

⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⢀⣀⣀⣀⣀⣈⣿⠀⠀⣶⡄⣀⣀⣀⣀⣀⣀⣀⣙⠿⢿⣧⣤⣴⣾⣿⣿⣿⣿⡇⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷

⠿⠟⣷⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠿⠿⠿⢿⣿⣶⡌⠀⣿⣿⡿⠿⠿⠿⠿⠿⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿

⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⣠⣹⣿⣿⠀⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠁⠀⠀⢀⡀⣀

⠀⠀⠸⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⢠⣿⣿⣿⡟⠀⣿⣿⣧⣀⣀⣀⣠⡄⠘⢿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣷⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠸⣿⣿

⠀⠀⢠⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⣿⣿⡿⠿⠿⠿⠿⠇⠀⠀⠉⠛⠛⠿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠛⠛

⡣⣤⣾⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠿⢿⣿⣿⣇⣶⣶⣿⣿⣷⣶⣶⣤⡀⠀⡀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⣠⡄⠀⠈⠉⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣠⣷⣦⣤⣤⣤⣾⣿⣿⣿⣿⣿⣷⣤⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠛⠛⠃⢠⣼⣿⣿⣿⣶⣶⡀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⠟⠛⠋⠉⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠷⠂⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠉⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀

⡟⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⡇⣀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀

⡇⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣆⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠈⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀

⠁⠀⠀⠀⠀⠁⣀⠙⣿⣿⣿⣿⣿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣿⣿⣿⣿⣿⣿⣿⠆⣿⣿⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀

⡀⠀⠀⠀⠀⠀⢻⠗⠈⢻⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⡀⣾⣿⣷⠄⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀

⣷⡄⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⡿⠁⠛⠋⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤

⣿⣷⡄⠀⠀⠀⠀⠀⠙⠛⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣧⠀⣾⡄⠀⠀⣠⣷⡀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣷⠀⠀⠀⠀⠀⠀⢶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⡿⠀⠉⣀⣴⣾⣿⣿⣷⠀⠀⠀⠀⢿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠙⠛⠻⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⡇⠀⣾⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⢿⢿⣿⣿⣿⣿⣿⣧

⣿⣿⣿⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣇⠀⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣀⣀⠀⠀⢹⣿⣿⣿⣿

⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡿⠀⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠉⠉⠉⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠷⣾⣿⣿⣿⣿

⠘⠿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣴⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⣹⣶⣿⣿⣿⣿⣿

⠀⠀⠈⢿⣦⠀⠀⠀⠀⠀⠀⠀⢘⣻⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⣿⣿⣿⣶⣴⣆⠀⠸⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⢁⡀⢺⣂⣽⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠘⠿⠿⠿⠿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣇⡀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⢹⠋⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣤⠖⠶⣶⠿⢷⠄⠠⠠⠔⠆⠀⠀⠀⣀⣠⣶⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⠟⠹⠿⣿⡆⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣠⣿⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛

[39A⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠸⣿⣿⠀⠀⠀⠀⢀⠀⠹⠿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢀⣀⠘⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⣠⠄⠀⠀⠀⠀⠀⠘⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠁⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣼⡟⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣦⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⠟⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣏⡛⠋⠁⢀⣿⣿⣿⣿⣁⣸⣿⣿⣧⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⣄⣠⣿⣧⡀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⣽⣿⣿⣿⣿⣿⣿⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠿⠛⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⢿⣿⣿⣿⣿⡿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣷⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣷⣤⣤⡀⠀⠀⣀⡀⠉⠻⢿⣿⢃⢀⣀⣔⢲⣿⣿⣿⣿⣿⠃⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛

⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣜⣛⣷⣤⣀⠈⠻⣿⣿⣷⣷⣿⣿⣿⣿⡿⠃⠀⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀

⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣈⣻⣿⣿⣿⣿⣿⣷⣮⣿⣿⣿⣽⣿⣿⣶⢄⡀⠉⠛⢿⣿⣿⣿⡀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀

⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠈⠂⠀⢩⠭⣿⣿⣷⣶⣦⣴⣿⡿⢿⣷⡀⠀⠀⠀⠀⠀⠉⠛⠛⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⢀

⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡿⣯⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠘⠿⣿⣿⡿⠟⣻⡿⠛⠀⢸⣿⣿⣶⣾⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⣤⣿

⣿⣿⣿⠿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣿⠃⠙⠿⠿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣄⠀⠀⠀⠈⠁⠀⠀⠈⠀⠀⣀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿

⣿⡏⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⢀⣀⣀⣀⣀⣸⣟⠀⠀⠀⠀⣀⣉⣀⣀⣀⣈⣻⣿⣿⣿⣧⣀⣀⣀⣠⣄⡊⠁⣀⣾⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣼⣿⣿⣯⣀⣠⣤

⣟⢛⣦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠿⠿⠿⢿⣿⣶⡄⠀⣿⣿⡿⠿⠿⠿⠿⠿⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⢿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⢀⠀⢸⣿⣿⠀⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿

⠀⢹⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⢀⣷⣾⣿⡟⠀⣿⣿⣇⣀⣀⣀⣤⡄⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄

⠀⠘⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⣿⣿⡿⠿⠿⠿⠿⠇⠀⠀⠉⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇

⡀⢀⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⣼⣿⣿⣿⡄⣤⣤⣿⣿⣧⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷

⣿⣾⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⡏⠙⠻⠿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⢀⣷⣶⣤⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠛⠛⠃⠀⢘⣛⣿⣾⣿⣀⡀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡛⠛⠛⠛⠛⠛⠻⢿⣿⡿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠉⠁⠹⣿⣿⣿⣿⣿⣿⣿⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡆⣀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⡅⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⡇⣿⣧⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⠀⠀⠀⠀⠀⠀⠀⠹⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⡇⠀⠀⠀⠙⠿⠻⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⡀⣿⣿⣧⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠈⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⡇⠀⠀⠀⠀⠀⠀⣤⡙⠿⣿⣿⣿⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⠃⣿⣿⣭⣤⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠈⠟⢽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣷⠀⠀⠀⠀⠀⠀⠈⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣯⣿⠄⣿⡿⠛⠋⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠛⠹⣬⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣷⡀⠀⠀⠀⠀⠀⠀⢶⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⠀⣠⣤⡄⠀⠀⢠⣤⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠙⠊⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⠀⠿⠿⢁⣠⣾⣿⣿⣇⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠙⢿⢿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⣿⣿⠀⢠⣴⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠉⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣦⣤⣄⣀⡀⠀⠉⠋⣿⣿⣿⣿

⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⠀⢿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠈⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿

⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠈⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢻⣷⣿⣿⣿⣿

⠿⢿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⢀⡀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠀⢶⣿⣿⣿⣿⣿⣿

⠀⠀⠙⠻⣷⡄⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⠿⠀⠀⠀⣾⣿⣷⣶⣾⣧⣀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⡇⢠⣄⣴⣜⣻⣿⣿⣿⣿⣿⣿

⣷⠀⠀⠀⠘⠻⠆⠀⠀⠀⠀⠀⠀⠀⠿⢿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣧⣀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠋⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣷⣶⣶⠿⢷⠦⠠⠠⠖⠂⠀⠀⠀⠀⠀⠀⣸⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⡏⠐⣿⣿⣆⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣦⣄⣈⣹⣿⣯⢻⣿⡟⠛⠛⠛⠿⠿

[39A⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣷⣤⣀⣀⣀⠀⠀⠀⠀⠀⢰⣿⣿⢥⣿⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠈⠛⢿⣿⣿⡏⠀⠀⠀⠀⠤⠀⠉⠙⣿⣿⣿⣿⣿⣿⣿⣦⣄⡀⠀⠀⢨⣦⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⣀⠐⠀⠈⠉⠉⠉⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡿⠁⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⡀⠀⠀⠹⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠰⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⢹⣿⣿⣿⣿⣿

⣴⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣶⣾⣿⣿⣿⣿⣿

⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠿⠿⠿⠃⢈⣿⣿⣿⡿⠛⢿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⣦⣤⣼⣿⣧⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣷⣦⣤⣤⣤⣼⣿⣿⣿⣷⣶⣿⣿⣿⣇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⢼⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⡄⠀⠀⣀⣾⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⣿⣿⣿⣿⣿⣿⣿⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿

⣠⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⠛⢿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⡏⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣶⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⠛⠉⠉⢀⣈⣿⣿⣿⣿⣿⠇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠤⣤⠀⠛⢻⣿⣿⣿⣧⣤⣶⣶⣫⣿⣿⣿⣿⣿⣿⠀⢠⣤⣾⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠉⠉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣷⣦⣀⠀⠀⢎⢼⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣈⣿⣿⣷⡆⠀⠀⠘⠻⣿⣥⣾⣟⣠⣿⣿⣿⣿⣇⠀⠀⠀⠸⣿⣿⣿⣿⠿⠿⠿⠿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡟⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⣬⣿⣿⣸⣿⣿⣿⣿⡿⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣵⣿⣿⡷⠾⠿⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣦⡀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⠟⠀⣾⣿⣿⣿⣶⣦⣄⣀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⢀⣀⣀⣀⣀⣀⣀⣸⣿⣿⣧⣀⣀⣀⣀⣀⣀⣀⣉⠿⢿⣿⣿⣿⣤⣿⣿⣿⣿⣿⣦⡀⠀⠀⢹⣿⣿⣿⠋⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀

⣿⣿⣿⣿⡏⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠿⠿⠿⢿⣿⣿⡍⠙⣿⣿⡿⠿⠿⠿⠿⠿⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⠀⠈⠉⠈⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷

⣿⣿⣿⣄⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⠀⢹⣿⣿⠀⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⡉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣠⣶⣾⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠻⣿⣿⡏⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⣀⣾⣿⣿⠀⣿⣿⣇⣀⣀⣀⣀⡀⠘⢿⣿⣿⣶⣿⣿⣁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠉⠁⢰⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⡿⠿⣿⣿⠀⣿⣿⡿⠿⣿⡿⠿⠇⠀⠀⠉⠙⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿

⣤⣀⠀⠀⣾⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⢀⣾⣿⣿⣦⣿⣿⣇⣨⣭⣭⣤⣀⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣷⣼⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣤⣾⣿⣿⠟⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⡀⠀⠀⠀⠀⠛⠛⠃⠀⠘⠛⠛⠀⠀⣀⣾⣿⡇⠉⠉⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠋⠁⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣴⣦⣄⣀⠀⠀⠀⠀⠀⠀⠴⣾⣿⣿⣿⣷⣶⡄⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣄⡀⠀⠀⠀⠀⠀⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠗⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⡏⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⢿⣦⡀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⡇⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⠃⢸⣿⣿⣆⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠉⠙⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⡇⠀⠀⠀⠀⠉⠉⠉⠛⢿⣿⣿⣿⣿⣿⣆⡀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⡆⠘⢿⣿⣿⣤⡀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠘⠛⠶⠝⢿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⢀⢹⣿⣿⣿⣿⠀⢰⣿⣿⠿⠛⠃⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠈⠙⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⢋⠀⠀⣀⣤⣀⠀⠀⣠⣤⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣄⣄⡀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿

⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠈⢉⢙⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⡆⢸⡿⠿⠋⣠⣾⣿⣿⣇⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣶⣤⣤⣬⣉

⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⡇⠀⣠⣴⣾⣿⣿⣿⣿⣿⡀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠉⠉⢹⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣇⠀⣻⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣫⣿⣿

⣿⣿⣿⣿⣿⣿⣿⠟⠳⠄⠀⠀⠀⠀⠀⠀⠀⠉⢿⢿⠿⠿⠿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠉⠉⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⣤⣾⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠗⣹⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣏⣻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠘⠛⡀⣿⣿⣿⣿⣿⣿

⣿⣿⠻⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣯⡄⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⢶⣿⣿⣿⣿⡿⠿⠷⠶⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⣿⣿⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣿

[39A⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠺⣿⣿⣿⣿⣿⣿⣿⡀⠀⢀⣀⣀⣤⠄⠀⠀⠀⠀⠠⣿⣿⣀⣿⣿⣿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣷⣴⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠉⠁⠀⠘⠻⢿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠢⠀⠉⠈⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⣀⠀⢀⢻⠀⠀⠈⠻⣿

⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠈

⠀⠀⠀⠀⢀⣤⡔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⢧⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀

⠀⠀⢀⣤⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⣿⠏⠀⣶⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⣰

⠀⣼⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⡏⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿⡿⠿⠿⠟⠁⢀⣿⣿⣿⡟⠋⢻⣿⣿⡏⠀⠀⠀⣿

⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣀⣠⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣶⣶⣤⣤⣾⣿⣿⣿⣷⣶⣾⣿⣿⣷⠀⠀⠀⣿

⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⡆⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⣠⣿⣿⣦⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿

⠀⠀⣶⣿⣿⣷⣾⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⡿⠋⠉⢀⢀⣬⣿⣿⣿⣿⣿⡇⠀⠀⢀⣿

⠀⢸⣿⣟⣿⣿⣿⣻⡿⠟⢃⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣴⣶⣶⣤⣀⠀⠓⠽⡟⠿⣿⣧⣤⣶⣿⣉⣿⣿⣿⣿⣿⣿⠀⢀⣤⣼⣿

⠀⣼⣿⣿⣿⣿⣿⣯⣵⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠉⠁⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣀⣤⠄⣶⠽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣷⣾⣿⣿⣿

⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠙⣿⣿⣿⡉⠉⠻⠉⠉⠛⠀⢠⡴⠀⣈⣿⣿⣿⣿⣅⠀⠀⢿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣿⡏⠙⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⢀⣾⣗⣠⣿⣿⣿⣿⣿⢿⣧⡀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣷⠀⠀⠀⠉⠙⠁⠀⠉⢻⣿⣿⣿⣿⣿⣿⣿⣭⣿⣿⣿⣿⣧⡀⠀⠀⠀⠿⣿⣿⣿⣿⣿⣿⠟⠁⣼⣿⣿⣶⣦⣤⣀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⢀⣀⣀⣀⣀⣀⣀⡀⠀⠀⢻⣿⣿⣆⣀⣀⣀⣀⣀⠀⠀⢈⣘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⢹⣿⣿⣿⠟⠉⠀⣰⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⠻⠛⢻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠿⠿⠿⢿⣿⣷⣄⢀⣿⣿⡿⠿⠿⠿⠿⠟⠀⣴⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⡇⢹⣿⣿⣿⣿⣷⣄⠀⠀⠛⠉⠁⠀⣀⣾⣿⣿⣿⢿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⠀⢹⣿⣿⠉⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⡁⠀⠀⠈⠹⢿⡿⠛⣿⣿⣾⣿⣿⣿⣿⣿⣿⣷⣄⣀⣴⣶⣿⣿⣿⣿⣿⣿⠀⢻⣿⣿⣿

⠉⠙⠻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⢀⣼⣿⡟⠀⣿⣿⣇⣀⣀⣤⣶⣤⠈⢿⣿⣿⣶⣦⣤⣀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿

⠀⠀⠀⠈⠙⠁⠀⢤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⡿⠿⠋⠀⢀⣿⣿⡟⠛⣻⣿⡿⠟⠀⠀⠉⠙⠻⠿⣿⣿⣷⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿

⣿⣷⣶⣦⡄⠀⠀⣾⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⡇⣿⣿⣿⣿⣷⣶⣶⣶⣶⣤⠀⠀⣻⣿⣿⠀⠈⠁⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⢻⣿⣿

⣿⣿⣿⣿⣿⡀⣰⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⣺⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⡇⠀⠀⠀⠀⠈⠙⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿

⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⣄⡀⠀⠛⠛⠃⠀⠘⠛⠛⠀⠀⠀⠀⣀⣴⣿⣿⠛⠛⠃⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⠀⠀⠀⠀⠀⠀⠈⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣀⣀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣦⣤⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣄⡀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠂⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣷⣄⣀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⠉⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡏⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡿⣿⣷⣄⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⠃⣿⣿⣿⣦⠀⠀⠀⠀⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠙⠋⠛⠛⠿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⠇⢹⣿⣿⣿⣦⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠋⡿⡿⣿⣿⣏⡻

⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠛⠓⠈⢿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣭⡄⠾⠿⠛⠋⠉⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣤⣤⣤⣬⣀⣉⣛⣁

⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠈⠀⣀⣾⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⠃⠉⠁⠀⣴⣶⣦⠀⢀⣴⣶⡀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠉⣉⣹⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠈⠻⣷⣤⣾⣿⠀⠿⠋⢉⣴⣿⣿⣿⣷⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⠀⣷⣶⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⣿⡏⠙⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⣴⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠿⠗⠀⠀⠀⠀⠀⠀⠀⢤⠻⠿⠿⠿⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠸⡇⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣿⡿⢁⣼⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢈⣤⣼⣿⣿

⣿⣿⣿⣿⣿⡟⢿⣿⣿⣿⣿⡿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣿⣿⣿⣻⣭⣿

⣿⣿⣿⣿⡿⠳⢿⣿⣿⣿⣿⠀⢹⡿⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠿⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⡿⢶⠔⠱⠾⠿⠿⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣦⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

[39A⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⠿⠿⣿⣇⣀⣀⣀⣠⣴⣿⣿⣿⠏⠀⠀⠀⢀⠘⠿⠿⣿⣿⣿⣿⣿⣿⣿⣄⡀⠀⠀⠀

⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⣶⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠙⠻⣿⣿⣿⣿⣶⣿⡿⠇⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⢀⠀⠀⠀⢀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⣀⣰⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⠟⢿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡿⠁⠀⠿⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⠏⠙⣿⣿⣿⣿⠿⠿

⠀⠀⠀⢀⣴⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠾⠿⠿⠿⠀⠀⠀⠀⠀⢀⣤⣄⠀⠻⣿⠇⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣇⣀⣁⣀⣀⣸⣿⣿⣿⣧⣤⣤

⠀⠀⢠⡾⢿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣶⣤⣤⣀⣿⣿⣿⣿⣶⣿⣄⡀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⣰⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⣶⣄⠀⠀⠀⠀⠀⢠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⠼⠟⠋⠻⣿⡄⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⣠⣾⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⣤⣬⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠛⣿⣿⣿

⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⠀⠀⠀⠀⠿⢿⣿⣿⣿⣿⠋⠀⠀⠘⠛⢻⣿⣿⣿

⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡿⠋⠁⣠⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⠿⠟⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢩⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿

⠀⠀⠀⠀⣸⣿⣿⣿⣿⣯⣥⣶⣿⣿⡿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⣀⡶⠿⡷⠿⠏⢟⢿⠟⠋⠛⠙⠻⢿⣿⣿⣿

⠀⢸⡇⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡄⠀⠀⠈⠀⠊⠰⣤⡆⠀⣴⣿⣿⣿⣿

⠀⠸⢷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠉⠈⠻⠿⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⢀⣤⣿⣿⣴⣿⣿⣿⣿⡿

⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠈⠛⣿⣿⣿⣿⣿⣿⠏⠀

⠀⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⢀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⣀⣀⣀⣉⣋⣀⣀⣀⠀⠀⠀⣀⣀⣀⣀⣰⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠸⣿⣿⡿⠏⠀⠀⣠

⣿⣿⣿⣿⣿⣿⣿⣿⡛⠉⢹⠏⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠿⠿⠿⢿⣿⣷⡄⠀⣿⣿⣿⡿⠿⠿⠿⠟⠀⣴⣿⡿⠿⠿⠿⣿⣿⠛⢿⣿⡿⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠈⠀⠀⠀⣠⣾⣿

⣿⡏⠉⠻⠿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⠀⢹⣿⣿⠀⣿⣿⡏⠀⠀⠀⠀⠀⢸⣿⣿⡁⠀⠀⠀⠀⠀⠀⠈⠉⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⣴⣿⣿⣿⣿⣿

⠋⠀⠀⠀⠀⠈⠙⠻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⢀⣼⣿⡟⠀⣿⣿⣇⣀⣀⣀⣀⡀⠘⢿⣿⣿⣶⣤⣤⣀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⣠⣤⣤⣤⣄⡀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⡿⠿⠛⠀⠀⣿⣿⡿⢿⣿⣿⢿⣷⣶⣤⣍⣙⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣤⣾⣿⣿⣿⣿⣿⣿⣆⠀⢀⣿⣷⡄⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡷⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣸⣿⣿⣿⣷⣄⣄⡀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⣿⡿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣄⠀⠀⠀⠀⠀⠀⠀⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡀⠘⠛⠛⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣿⣷⠀⠀⠀⠉⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠈⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⠀⠀⠀⠀⠀⠈⠉⠹⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠉⠹⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣷⣴⣄⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⡀⠀⠀⠀⠉⠻⢿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⢶⣾⠛⣿⣿⣿⣿⣿⢹⣿⣷⣄⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠈⢿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⣿⣿⣿⣿⣧⠈⢿⣿⣿⣧⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⡀⠀⠀⠈⠙⠋⠽

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠈⠁⢈⣉⠙⠿⣿⣿⣿⣿⣌⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⡿⠀⢸⣿⣿⣿⠷⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠨⠛⠀⢹⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠟⢯⠀⠈⠉⣁⡀⠀⠀⢀⡀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠶⠿⢿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣶⣿⡇⠸⣿⡿⠿⣀⣴⣿⣿⡄⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⢶⣾⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣧⠀⢩⣀⣼⣿⣿⣿⣿⣿⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠙⠿⢿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠘⣿⡟⠙⠿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⢻⡇⠀⢀⣄⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠁

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⡀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠛⠉⢉⣉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⢷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣴

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠁⡀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠙⠛⠛⢿⣿⡆⣸⣿⠆⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⡀⠀⠈⠉⠀⡀⠀⠀⠀⠀⠀⠀⠈⠉⠁⢸⣿⣿⣿⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⡄⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠹⠿⣿⣿⣿⣿⣿⣿⡷⠶⠖⠀⠀⢑⢻⣴⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⣿⣿⣿⣿⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⣿⣿⣿⣿⣿⣿⡆⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

[39A⠀⠀⠀⠀⠘⠿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⡀⠀⣸⣿⡇⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⠟⢱⣿⣷⣤⣤⣤⣦⣿⣿⣿⣿⣿⠋⠀⠀⠀⢴⣄⠙⠉⣿⣿⣿⣿⣿⣿⣿⣦⣤

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠁⠀⠈⠉⠛⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠁⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠠⠀⠀⢀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⡟⠀⣦⡀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⠛⣻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠿⠃⠀⠀⠀⢰⣿⣿⣿⣿⡿⠿⠿⠏⠉⣿⣿⣿

⠀⠀⠀⠀⢀⣴⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠿⠿⠃⠀⠀⠀⠀⠀⣠⣤⣤⣀⢹⡿⣿⠟⠀⠀⠀⠰⠀⠀⢀⣼⣿⣿⣿⣿⣦⣤⣀⣀⣤⣿⣿⣿

⠀⠀⠀⢀⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣶⣤⣤⣠⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⢀⣿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢠⣶⣿⣿⣷⡀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⢿⣿

⠀⠀⠘⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠾⠛⠉⠁⠙⣿⣷⠀⣀⣀⣀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣾⣿

⣧⠀⠀⠀⠀⠀⢀⣤⣤⣄⣀⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣄⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠛⠛

⡿⠀⠀⠀⠀⠀⣸⣿⢿⣿⣿⣿⣿⡿⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠨⠤⢭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣧⣤⣀⣘⣛⢛

⠀⠀⠀⠀⠀⠀⣿⣿⣾⣿⣿⣿⣏⣀⣠⣶⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢙⠛⠉⠉⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⢀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⣠⣾⡿⠿⢿⡿⣿⡿⡻⠟⣛⡟⠉⠉⣉

⠀⠀⠀⣼⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢓⣶⣿⡟⠈⢿⡇⢸⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠠⠀⢿⡠⣨⣿⣿⣿⣿⣿

⠀⠀⠀⠁⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣇⠀⠀⠀⢸⡟⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⢿⢿⣦⣀⠀⠈⠀⠀⠀⠀⠀⠀⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣌⣿⣿⣿⣿⣿⣄⠀⠀⠈⠻⢿⣿⣿⣿⣿

⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⡿⠿⣿⡟⠁⠀⠀⠀⠀⣀⣀⡀⠀⢀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⣀⣀⣀⣀⣄⣀⣉⣿⠇⠀⠀⣀⣀⣀⣀⣀⡈⠉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⢘⣿⣿⡿⠿

⠀⠀⣤⡿⠿⣿⣿⣿⣿⣿⣴⠀⠙⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠿⠿⠿⢿⣿⣷⡄⠀⣿⣿⡿⢿⡿⠿⠿⠏⠀⣴⣿⣿⠿⠿⠿⢿⣿⠃⠀⠸⠏⠻⠋⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠈⠉⠉⠀⠀

⣴⣾⡿⠃⠀⠈⠙⠻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⠀⢹⣿⣿⠀⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⣴⣾⣿

⣿⠏⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⣀⣼⣿⡟⠀⣿⣿⣇⣀⣀⣠⣤⡀⢈⣿⣿⣿⣿⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠉⠀⠀⣠⣶⣿⣿⣿⣶⣄⠀⠀⠀⣷⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⠿⠛⠀⠀⣿⣿⡿⠿⢿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣇⠀⢸⣿⣧⡀⡀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢻⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣿⣿⣿⣿⣿⣶⣦⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣧⣿⣿⠻⠿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣟⣛⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣇⡀⠀⠀⠉⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠹⢿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡐⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⡇⣴⣤⡀⠀⠀⠈⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠉⠛⢿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⠿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⡟⢻⣿⣿⣆⠀⠀⠀⠈⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠘⠿⠿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠈⠻⢿⠿⠿⢿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣧⠘⣿⣿⣿⣦⡀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣤⣤⣤

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⣤⣜⠛⣿⣿⣿⠿⢿⣿⡆⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡏⠀⢿⡿⠿⠟⠃⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠉⠁⢀⣿⣿⣿⣿⣾⣿⡍⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣹⣷⠀⢠⣤⣤⣄⠀⢀⣤⡄⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠈⠉⣉⣻⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠈⠿⣿⣿⣿⠀⠸⡿⠛⢃⣴⣿⣿⣿⡄⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⡇⠀⣶⣶⣿⣿⣿⣿⣿⣿⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠈⠛⠻⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⠀⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠸⣿⡇⠈⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠧⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⢻⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠈⣸⣿⣿⠿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠿⣿⣿⣿⣿⠀⢠⣄⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⣴⡍⠛⠃⢿⠟⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠈⢻⣦⣀⠀⠀⠠⡄⠀⠀⠀⠀⠀⠀⠀⣈⣠⣽⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⣿⣿⣿⣿⣆⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣷⠿⣿⣿⣿⣿⣿⠷⠀⠀⠀⠀⣾⣿⣿⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡆⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

[39A⠀⠀⠀⠀⠀⠀⠘⠿⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⠟⠛⢹⣿⣷⣤⣤⣤⣴⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⣧⡄⠿⠟⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⢿⣷⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠃⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠘⠋⠀⢀⣿⣿⣿⣿⣿⣿

⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⢠⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⣀⣠⣄⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠇⢰⡄⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⠛⢻⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⡏⠀⢸⣿⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡿

⠀⠀⠀⠀⠀⠀⣠⣾⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠻⠿⠿⠟⠀⠀⠀⠀⠀⠀⣠⣤⣄⣠⣻⣿⣿⣿⠇⠀⢀⡀⡄⠀⠀⢀⣿⣿⣿⣿⣏⣉⠉⠁⠀⣀

⡇⠀⠀⠀⠀⣤⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣦⣄⣀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⡇⠀⠀⠀⣼⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⣿⣷⡀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠚⠉⠀⠀⠙⢿⣿⡄⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⡇⠀⠀⠈⠀⠀⠀⣠⣤⣤⣤⣀⣠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣀⣄⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⡿⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠂⣎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢙⣿⣿⣿⣿⣿⣿⡟⠁⠀

⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣟⣁⣠⣶⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢻⡿⠛⠋⢉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⢴⣄⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠸⣿⣿⠋⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿

⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣵⣤⣶⡀⠘⣿⣿⣿⣿⠋⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⡉⠱⣶⢽⢿⣿⣿⣿⡇⣾

⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣇⠀⠉⠁⠹⠏⠀⠀⠀⠈⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠁⠀⠨⣿⣿⣿⣷⣿

⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⠿⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣷⡄⠀⠀⠙⢿⣿⣿⣿

⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣀⣀⡀⠀⢀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⡈⠻⠆⠀⣀⣀⣀⣀⣀⠀⠈⠉⠉⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠙⠛⠛

⠀⠀⠀⢀⣼⡟⠛⢿⣿⣿⣿⣿⡟⣠⠁⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠿⠿⠿⢿⣿⣷⣄⠀⣿⣿⡿⠿⠿⠿⠿⠇⠀⣴⣿⡿⠿⠿⠿⢿⣿⠃⠀⠀⠀⠸⠿⠋⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⣤

⠀⢀⣼⣿⠿⠃⠀⠀⠉⠙⠿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⠀⢹⣿⣿⠀⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⡑⢾⣿⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⠀⠈

⣰⣿⣿⠋⠀⠀⠀⣀⣀⣀⡀⠈⠁⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⣀⣼⣿⡟⠀⣿⣿⣇⣀⣀⣠⣤⡄⠈⢿⣿⣿⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤

⡿⠟⠁⠀⠀⣠⣾⣿⣿⣿⣿⣷⡄⠀⢀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⠿⠛⠀⠀⣿⣿⡿⠿⠿⠿⢿⣧⣄⠀⣿⣿⣿⣿⣿⣿⣷⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣷⣦⡀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⢿⣿⣿⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣷⣿⣿⣇⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⣀⣴⣤⡾⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠿⢿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⠀⠀⠀⠀⠀⠀⠛⠛⣿⣿⣿⣿⣧⠀⠈⠉⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⡀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠆⠀⠀⠀⠀⠀⠘⣻⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⢀⣽⣿⣿⣿⣿⣿⣿⡆⣤⡀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠈⠛⠿⢿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠙⣷⣶⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⠃⣿⣿⣦⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠻

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠙⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣤⣀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⠀⠿⢿⣿⣇⡀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣠

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣀⠈⢭⣿⣿⢿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⡟⠀⢰⣿⡿⠿⠟⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠁⠀⣸⣿⣿⣷⣾⣻⣿⢧⠀⠀⠀⠀⠀⠀⠈⠛⢻⣿⣿⣷⡄⠀⣀⣤⣤⠀⠀⣠⣄⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠉⠉⣛⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠺⣿⣿⣿⣷⠀⣿⠿⢛⣤⣾⣿⣿⣆⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⠀⢠⣤⣾⣿⣿⣿⣿⣿⡆⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠙⠛⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⢸⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⣿⣿⠉⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡦⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⡿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠹⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⢿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⢻⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⣿⣿⠿⣿⣿⢀⣦⡀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⠁⣤⠈⠉⢾⣿⠃⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠙⣷⣄⠀⠙⠢⢦⠀⠀⠀⠀⠀⠀⠀⢈⣉⣭⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⢨⣿⣿⣿⡆⠀⠈⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡆⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

[39A⠀⠀⠀⠀⠀⠀⠀⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡟⠻⠟⠻⣿⣧⣀⣀⣀⣠⣼⣿⣿⣿⣿⣿⠿⠀⠀⢀⣇⡈⣿⠿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⣴⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠹⠇⠀⢠⣿⣿⣿⣿⣿⣿

⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠻⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿

⠁⠀⠀⠀⠀⠀⠀⢠⡄⠀⠀⣤⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠃⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡏⢠⡀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡿⢿⣿⣿⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⡟⠀⢸⣿⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣻⣿

⠀⠀⠀⠀⠀⠀⠀⣤⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⠾⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡹⣿⣿⣿⡇⠀⢈⠉⡀⠀⠀⠀⣿⣿⣿⣿⡛⠉⠉⠉⠁⠀

⠀⠀⠀⠀⠀⢀⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣀⡀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠁⠀⠀⣼⣿⣿⣿⣿⣿⣷⣶⣶⣾⣿

⡆⠀⠀⠀⢰⣿⠛⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣦⡀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⡀⠀⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠙⢿⣷⡀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣇⠀⠀⠈⠁⠀⠀⢀⣤⣤⣄⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣷⣿⣿⣷⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⡿⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⢙⣿⣿⣿⣿⣿⣿⡿⠋⠁

⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣯⣤⣶⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠿⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⣀⡀⣨⣿⣿⣿⣿⣿⣿⣷⣴⣶

⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠉⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⢰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡈⢻⣶⣄⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⢩⣿⠟⣿⣿⣿⣿⡖⣴

⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠸⠿⠟⠻⠃⠀⠀⠀⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠉⠀⠠⣿⣿⣿⣷⣿

⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡿⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣻⣿⣿⣿⣧⡀⠀⠀⠸⣿⣿⣿⣿

⠀⠀⠀⠀⠀⣤⣿⣿⣿⣿⣿⣿⣿⢿⡇⠀⠀⠀⠀⣀⣀⡀⠀⢀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⠈⠣⠀⢀⣀⣀⣀⣀⣀⠀⠉⠻⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠈⠙⠿⠿

⠀⠀⠀⠀⣰⣿⡛⠛⢿⣿⣿⣿⣿⣁⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠿⠿⠿⢿⣿⣷⡄⠀⣿⣿⡿⠿⠿⠿⠿⠇⠀⣴⣿⣿⠿⠿⠿⢿⣿⠃⠀⠀⠀⠸⣿⠟⠉⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠴

⠀⠀⣰⣾⣿⠟⠀⠀⠀⠈⠙⠿⣿⡏⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⠀⢹⣿⣿⠀⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⡀⣴⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀

⠀⣼⣿⡿⠁⠀⠀⣀⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⣀⣼⣿⡟⠀⣿⣿⣇⣀⣀⣠⣤⡄⠈⢿⣿⣿⣾⣯⣥⣀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣆⣀

⠈⠟⠋⠀⠀⣀⣼⣿⣿⣿⣿⣿⣶⡀⠀⡀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⡿⠿⠛⠀⠀⣿⣿⡿⠿⠿⠿⠿⣇⡀⠀⣿⣿⣿⣿⣿⣿⣷⣄⣀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣤⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣰⣿⣦⡀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⢸⣿⣿⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣇⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⢀⣤⣤⣸⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿

⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣀⡀⠀⠀⠀⠀⠀⠀⠛⠛⣿⣿⣿⣿⣧⠀⠉⠉⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡦⠀⠀⠀⠀⠀⠘⢻⣿⣿⣿⣶⣦⡀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣷⡄⣀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡄⠀⠀⠀⠈⠙⠿⠿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⢳⣦⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠇⣿⣷⣄⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠐⠾

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠉⠻⢿⣾⠿⢿⣿⣿⣿⣿⣿⣇⣀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⠀⠻⢿⣿⣇⡀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣠

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⣀⠐⢉⣻⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⡟⠀⢠⣾⣿⡿⠿⠂⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣬⠹⣿⣧⡀⠀⠀⠀⠀⠀⠀⠛⢻⣿⣿⣿⡆⠀⢉⣠⣄⠀⠀⢀⣀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠈⠙⢙⣻⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣷⠀⣿⡿⠿⣃⣴⣿⣿⣆⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⠀⢩⣤⣴⣿⣿⣿⣿⣿⡄⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠀⠈⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⣿⣿⠉⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣼⢿⣿⣿⣿⡿⠿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠹⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠉⣾⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⢻⣦⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠻⡿⠛⠿⣿⢷⣤⣄⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⡄⠘⠩⣿⡟⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣟⣿⠻⣿⣿⣿⣿⣿⠁⠀⠀⠈⢹⣦⣀⠈⠻⢶⣤⠀⠀⠀⠀⠀⠀⠈⣉⣩⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⠿⢿⢿⣾⣾⣿⣿⣿⠁⠀⠀⠀⠀⣾⣿⣿⣧⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⡆⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

[39A⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⣿⡅⠈⠀⠀⠀⣰⣴⣿⣿⣿⣿⠟⠃⠀⠀⢸⣿⣿⣿⣿⣿⣿⣧⣀⡀

⠀⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣆⣠⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠈⠀⠀⠸⣿⣶⣾⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠿⣷⡞⠙⢙⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠙⢿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿

⠂⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠈⠁⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣶⣶⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⠁⢠⣄⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⣠⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣠⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⠁⠀⠸⠟⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿

⠀⠀⠀⠀⠀⢀⣾⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⣷⣾⣿⣏⠀⠀⠺⠆⠀⠀⠀⣰⣿⣿⣿⣿⣯⣉⠉⠀⢀⣸⣿

⠀⠀⠀⠀⣠⣾⡿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣶⣤⣼⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠄⠀⠀⢸⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠸⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿

⣇⠀⠀⠘⠟⠁⠀⠀⢀⣠⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣤⢤⣤⣿⣿⣧⣤⣤⣤⣤⣤⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄

⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢈⣻⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿

⠁⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣅⣠⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠚⠒⢿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣤⡀⠀⣼⣿⣿⣿⣿⣿⣿⣁⣀⣤⣶

⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠉⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⠀⣀⣠⣿⣿⠋⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⠟⣿⣿

⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣴⣿⣿⣿⣿⠟⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⢟⠿⣿⣿⣿⣧⣿⣿⣿

⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣿⣿⠃⠙⠋⠛⠅⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠸⢿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⡟⠃⠈⠇⠀⠀⣀⣀⡀⠀⢀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⣀⣀⣖⣀⣛⣏⣀⣀⠀⠀⠀⣀⣀⣀⣀⣀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⢿⣿⣿⣿⣿

⠀⠀⠀⠀⣸⣿⣿⠛⠻⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠿⠿⠿⢿⣿⣷⡄⠀⣿⣿⡿⠿⣿⡿⠿⠇⠀⣴⣿⣿⠿⠿⠿⣿⣿⠋⠻⢟⠏⢻⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠉⢹⣿⣿

⠀⠀⢀⣼⣿⡿⠋⠀⠀⠀⠉⠻⢿⣿⠁⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⠀⢹⣿⣿⠀⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⣁⣴⣶⣄⠀⠀⠀⠀⠀⠀⠘⠛⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠘⠛⠛

⠀⢠⣿⣿⠟⠀⠀⠀⣀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⣀⣼⣿⡟⠀⣿⣿⣇⣀⣀⣤⣤⡄⠈⢿⣿⣿⣿⣯⣥⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⢀⣀

⠀⠿⠛⠁⠀⠀⣠⣾⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⡿⠿⠛⠀⠀⣿⣿⡟⠿⠿⠿⠿⢧⡀⠀⣿⣿⡿⠿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠈⠙⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿

⣄⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣶⣧⣄⠀⠀⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⢀⠀⠀⣴⣿⣿⡄⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠛⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣿⣿⡇⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠁⣀⠀⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⣣⣾⣿⣿⡟⠛⠛⠋⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⣿⣿⣿⣿⣿

⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣄⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣤⡀⠀⠀⠀⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠈⠛⢻⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠉⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠁⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣄⠀⠀⠀⠀⠙⢻⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢶⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇⣿⣤⡀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠈⠐⠉⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⠀⢿⣿⣿⡄⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⣀⡀⠀⠙

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠈⠉⠉⠉⠻⢟⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⡿⠁⢀⣽⣿⣿⣦⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠋⠀⠈⣿⣿⣷⣤⣝⣿⠧⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⡄⠈⠛⠛⠉⠁⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠛⠛⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿⣿⠀⣿⣿⣷⠀⣠⣶⣶⡀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠈⠿⣿⣿⠀⢻⠉⣠⣿⣿⣿⣿⣧⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⠀⠸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠸⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⣿⡇⠀⠈⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠛⢸⣿⣿⡿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠘⣷⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣧⣀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣷⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠉⣤⣄⠈⠙⣿⡟⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⠿⠛⣿⣿⣿⣿⡿⠀⠀⠘⣿⣄⠀⠙⠿⢦⣄⠀⠀⠀⠀⠀⠀⠉⣉⣉⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣦⡀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⡿⣿⣾⣾⣾⣿⣿⣿⡟⠁⠀⠀⠀⣽⣿⣷⣶⠀⠈⠙⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣷⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                ䷩ 𝚕𝚒𝚗𝚎 2918

(ℹ) Images, hyperlinks and comments at http://techrights.org/2023/01/03/irc-log-010123-2/#comments

Gemini version at gemini://gemini.techrights.org/2023/01/03/irc-log-010123-2/

Gemini_version_available_♊︎

✐ IRC_Proceedings:_Sunday,_January_01,_2023⠀✐

Posted in IRC_Logs at 3:08 am by Needs Sunlight

Corrected IPFS feed at: irc-log-020123

Also available via the Gemini protocol at:

* gemini://gemini.techrights.org/irc-gmi/irc-log-techrights-010123.gmi

* gemini://gemini.techrights.org/irc-gmi/irc-log-010123.gmi

* gemini://gemini.techrights.org/irc-gmi/irc-log-social-010123.gmi

* gemini://gemini.techrights.org/irc-gmi/irc-log-techbytes-010123.gmi

Over HTTP:

                                  🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇H                                     🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇HTML5_logs⦈_

                                     #techrights_log_as_HTML5                                                                                  #boycottnovell_log_as_HTML5

                                  🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇H                                     🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇HTML5_logs⦈_

                                #boycottnovell-social_log_as_HTML5                                                                               #techbytes_log_as_HTML5

                                  🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇t                                      🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇text_logs⦈_

                                      #techrights_log_as_text                                                                                   #boycottnovell_log_as_text

                                  🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇t                                      🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇text_logs⦈_

                                 #boycottnovell-social_log_as_text                                                                                #techbytes_log_as_text

                      Enter_the_IRC_channels_now

=> =============================================================================

§ IPFS Mirrors⠀➾

CID Description Object type

                                             IRC log for

QmRxxiz9mRxeZZk4FmQwuFpBqaFLSPtxntEE7dbw4oyNsg #boycottnovell 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈

                                             (full IRC log

                                             as HTML)

                                             IRC log for

                                             #boycottnovell

QmQdKUGxidvwgR4Cmdcw2sYz4fvwbFUAfuQxMQozGQMDJh (full IRC log 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇text logs⦈

                                             as plain/ASCII

                                             text)

                                             IRC log for

                                             #boycottnovell-

QmazvRoNPFgLDh38A5bySadK5qt7f6vHmBuGwd4dTWL99v social 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈

                                             (full IRC log

                                             as HTML)

                                             IRC log for

                                             #boycottnovell-

QmXmjgM39EbwSfM9bWSgBpT35LCXgtg3DvbUkMoz8qtkng social 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇text logs⦈

                                             (full IRC log

                                             as plain/ASCII

                                             text)

                                             IRC log for

QmdHa8WyknppVaPoC5qqi5aCnTdiLX1ABx9vKyx4uBChpo #techbytes 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈

                                             (full IRC log

                                             as HTML)

                                             IRC log for

                                             #techbytes

QmQLJK3RfNpzqCD7dYLgkLptNRDZfHMBXMhYqQSQua5RqM (full IRC log 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇text logs⦈

                                             as plain/ASCII

                                             text)

                                             IRC log for

QmUGgMorZ9MdCKz1VbYWGPrUGbP5LtS2N5UcArEdK3FGBv #techrights 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈

                                             (full IRC log

                                             as HTML)

                                             IRC log for

                                             #techrights

QmTnwVJ5AbYyo39w6DagbjpV45eQiUECHqNHXG73r8pNmg (full IRC log 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇text logs⦈

                                             as plain/ASCII

                                             text)

🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇IPFS logo⦈

§ Bulletin for Yesterday⠀➾

Local_copy | CID (IPFS): QmSqRoGuWGzGPiMq2GgcCee22CrF6E8w7JYJncWSZqw4yj

                ䷩ 𝚕𝚒𝚗𝚎 3046

(ℹ) Images, hyperlinks and comments at http://techrights.org/2023/01/03/irc-log-020123-2/#comments

Gemini version at gemini://gemini.techrights.org/2023/01/03/irc-log-020123-2/

Gemini_version_available_♊︎

✐ IRC_Proceedings:_Monday,_January_02,2023–_corrected⠀✐

Posted in IRC_Logs at 3:49 am by Needs Sunlight

Also available via the Gemini protocol at:

* gemini://gemini.techrights.org/irc-gmi/irc-log-techrights-020123.gmi

* gemini://gemini.techrights.org/irc-gmi/irc-log-020123.gmi

* gemini://gemini.techrights.org/irc-gmi/irc-log-social-020123.gmi

* gemini://gemini.techrights.org/irc-gmi/irc-log-techbytes-020123.gmi

Over HTTP:

                                  🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇H                                     🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇HTML5_logs⦈_

                                     #techrights_log_as_HTML5                                                                                  #boycottnovell_log_as_HTML5

                                  🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇H                                     🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇HTML5_logs⦈_

                                #boycottnovell-social_log_as_HTML5                                                                               #techbytes_log_as_HTML5

                                  🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇t                                      🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇text_logs⦈_

                                      #techrights_log_as_text                                                                                   #boycottnovell_log_as_text

                                  🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇t                                      🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇text_logs⦈_

                                 #boycottnovell-social_log_as_text                                                                                #techbytes_log_as_text

                      Enter_the_IRC_channels_now

=> =============================================================================

§ IPFS Mirrors⠀➾

CID Description Object type

QmPQ26TDznnV1aB5b7D4gz5TFdcACJ5i7cQ5GhhDwAjte8_#boycottnovell 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈

(full_IRC_log_as_HTML)

QmVtDV3cLd9BcLjNWSTr48p4sLaZFvmNK8XRjTQwwRd3ru IRC log for #boycottnovell 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈

                                                            (full IRC log as HTML)

QmVu81jLzympbEiAPjwGFhFF8xUJMrKTroLcv9ZJy7yBqf IRC log for #boycottnovell 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇text logs⦈

                                                            (full IRC log as plain/ASCII text)

QmZe2Y757M18LtApTzmWRkTEFPetiQWPZJ4AcCEKDXHguw IRC log for #boycottnovell-social 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈

                                                            (full IRC log as HTML)

QmVhwCAWgPu5hVzbGQs2DxPuZSofxVvJCraNRskB2TnWN4 IRC log for #boycottnovell-social 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇text logs⦈

                                                            (full IRC log as plain/ASCII text)

QmcwMP1Q9RPnpgz8ZyyAgN6xDMBK1e48RdtnaMGc44Yx4w IRC log for #techbytes 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈

                                                            (full IRC log as HTML)

QmVFjXKMbf4apzJvZdKe5VHapkmFHu5TsXNyyNVEBZpdQE IRC log for #techbytes 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇text logs⦈

                                                            (full IRC log as plain/ASCII text)

QmRctBiBohEMcAp1nraTyqCas128oYVZRhmLKd54PkUyHY IRC log for #techrights 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈

                                                            (full IRC log as HTML)

QmVPhj96V2ymQikKca8DDeTh6KSa21qa5MsDcRpE3KUGma IRC log for #techrights 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇text logs⦈

                                                            (full IRC log as plain/ASCII text)

🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇IPFS logo⦈

§ Bulletin for Yesterday⠀➾

Local_copy | CID (IPFS): QmfK4VviyZTAsVrucs7LLyQVXy6qvWzpZkkW319Z93v9HU

                ䷩ 𝚕𝚒𝚗𝚎 3155

(ℹ) Images, hyperlinks and comments at http://techrights.org/2023/01/03/layoffs-microsoft-january-2023/#comments

Gemini version at gemini://gemini.techrights.org/2023/01/03/layoffs-microsoft-january-2023/

Gemini_version_available_♊︎

✐ Still_Rumours_of_Microsoft_Layoffs_This_Month⠀✐

Posted in Microsoft, Rumour at 9:04 pm by Dr. Roy Schestowitz

3rd time in 6 months?

          🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Layoffs_Microsoft_January_2023⦈_

Summary: As we_noted_last_month, Microsoft_layoffs are expected this month

though Microsoft might delay a bit to ‘prove’ the rumours false (common

strategy)

⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤

⣿⣿⠟⣍⠻⣿⣿⣿⢻⢿⣿⣿⣿⡿⣿⣿⣿⣿⢻⢿⢿⣿⢿⢛⢛⢿⡿⣿⠿⣿⢻⣿⡟⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢩⡉⡇⣿⣿

⣿⣿⣿⣉⣿⣿⣿⣟⣸⣁⣒⣸⣃⣋⣐⣲⢤⣿⣀⣁⢌⣆⣢⣸⣀⣩⣷⣱⣀⣟⣸⣐⣃⢎⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣒⣒⣃⣿⣿

⣿⣿⣏⣭⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⠿⣭⠿⣿⣿⣿⢩⠙⠛⢙⢹⠛⢙⢹⠉⠙⠋⡟⢻⠩⠋⡟⠉⡝⡽⠉⠋⠛⢩⢹⠋⢭⠏⠹⠽⢯⠉⠙⡯⠻⠉⡏⠋⠋⠙⠉⠋⠙⣽⠛⠫⠫⡏⢯⠍⠛⢻⠉⠛⠫⢩⠍⡯⢯⡿⡽⠫⢫⡭⡋⣿⣿⣿⣿⣿⣿

⣿⣿⣷⣭⣾⣿⣿⣿⠿⠿⠿⠿⢿⠿⠻⠿⠾⢿⠿⢿⠿⠟⠿⠿⢿⠿⢿⠿⡟⠻⠿⠿⣻⠿⠿⠿⠿⠿⠿⡟⠿⡛⣿⣿⣿⣶⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣤⣶⣾⣶⣶⣶⣶⣾⣷⣶⣷⣶⣷⣶⣿⣶⣶⣶⣷⣶⣶⣶⣾⣵⣶⣶⣾⣶⣾⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⡏⡭⢭⠭⢭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⡭⠭⠭⠭⠭⠭⠭⠭⡭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⢭⠭⠭⠭⠭⠭⠭⠭⠭⢭⠭⠭⠭⠭⢭⠭⠭⢭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⢹⣿

⣿⣿⣿⣿⣿⣿⡇⣧⢼⣤⣤⠴⣤⠤⡦⣤⠷⣤⡤⣤⡤⠦⣤⣤⣧⣤⣤⣼⣤⣤⣤⣤⣧⣤⣦⣤⣤⣤⣤⣤⣴⣤⣾⣥⣼⣤⣴⣤⣤⣤⣴⣤⣤⣼⣬⣤⣤⣤⣼⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿

⣿⣿⣿⣿⣿⣿⡇⠧⠦⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠠⠤⠤⠼⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢸⣿

⡏⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿⡏⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⡉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⣿⣭⣭⣭⣭⣭⣭⣭⣭⣭⡝⣿⣿⣿⣿

⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⣿⣅⣈⣧⣌⣁⣉⣩⣹⡇⡁⢀⣿⣿

⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣭⣭⣭⣭⣭⣭⣭⣭⣭⣵⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⢿⣿⣿⣿⣿⣿⣿⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⡷⡣⣿⣭⡍⣉⡏⡍⡇⡅⢋⣹⡉⢿⣯⣫⢫⠛⡝⠫⡏⣿⢋⢋⡛⣝⢋⡛⡝⢩⣿⢋⠋⡝⣯⢹⣉⡋⡙⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣷⡶⠿⠶⠷⠶⠇⠶⠶⠶⠷⠾⠶⠾⠧⠶⠾⠶⠶⠶⠷⠾⠾⠷⠾⠶⠶⠶⠷⠷⠿⠶⠷⠷⠿⠾⠶⠧⠾⠾⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿

⣿⢰⣶⠶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡆⢨⠍⠩⡍⣿⣿

⣿⢸⣥⠿⣬⣿⣿⣿⢝⠙⠭⠯⠟⠋⠛⠋⡏⠛⡏⠭⠉⠍⠍⡯⣯⠏⠛⠛⠛⠉⠉⢿⠛⠋⡏⠙⠛⢹⠩⡟⠫⡿⠯⠫⠋⡏⠫⡏⠛⢉⣹⠹⠝⠉⡯⠛⠫⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣘⣂⡇⣿⣿

⣿⢸⡿⢟⢻⣿⣿⣿⡿⠿⠾⢿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣶⣶⣾⣿⣿

⣿⢸⣿⠛⣾⣿⠃⠄⢰⠐⠒⠂⠠⠐⠒⡆⠒⠂⠒⠒⠒⠒⠒⠒⢲⢰⢰⠒⠒⠒⠐⠒⡆⢒⠂⠂⢰⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡆⢰⣶⣶⣶⢸⣿

⣿⢸⣍⠿⣩⣿⡇⡄⠠⠤⠠⠀⠴⠒⠺⠿⠾⠟⡿⠿⠳⠿⠛⠻⣿⣾⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⢸⣿

⣿⢘⣿⣿⣿⣿⣧⣷⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣼⣿

⣿⢰⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢨⠭⠭⡝⣿⣿

⣿⢸⣥⠿⣬⣿⣿⣿⠹⠛⢛⠙⡿⠛⠛⠛⠛⢋⢹⠛⠙⢛⢻⠻⡟⠛⢛⠻⡯⠋⡟⠛⡛⠛⠛⠋⢹⠙⠋⠋⡟⠋⢩⠙⠛⠛⠋⢋⠻⠛⡟⠋⣝⠛⠛⠛⠛⠛⡟⠋⢹⢛⠛⠛⣻⠙⠛⠛⢻⠙⢻⡇⢸⣘⣂⡇⣿⣿

⣿⢸⡿⠟⢻⣿⣿⣿⡻⡻⡲⣻⡻⡿⠿⠿⠿⢿⠿⡾⢿⠷⣿⡻⡳⡻⣻⡟⡿⠿⠿⠿⠿⠿⠿⢿⡿⡿⠿⢿⢿⠻⠿⠟⠿⠿⢻⠿⢿⠿⢿⠿⠷⣿⡿⣷⠿⠿⢻⢿⠿⢾⠿⡿⠿⠿⡿⡷⠾⣿⣿⡇⢰⣶⣶⣶⣿⣿

⣿⢸⣿⠿⣾⣿⣿⣿⣴⣵⣼⣼⣯⣦⣄⣥⣧⣯⣭⣄⣽⣽⣽⣴⣵⣼⣬⣧⣧⣤⣄⣄⣵⣥⣤⣼⣤⣷⣾⣬⣼⣴⣥⣨⣮⣤⣼⣴⣽⣮⣧⣼⣯⣼⣵⣼⣽⣥⣴⣼⣤⣼⣤⣧⣭⣽⣧⣷⣭⣾⣿⡇⢸⣿⣿⣿⣿⣿

⣿⢸⣍⠿⣩⣿⣿⣿⣂⣀⣀⣀⣄⣷⣒⣁⣸⣪⣃⣀⠀⣀⣸⣀⣀⣐⣗⣑⣕⣇⣀⣀⣀⡀⢀⣺⣔⣪⣗⣁⣐⣀⣀⣇⣳⣻⣒⣘⣀⣀⣐⣀⣈⣂⣸⢀⣈⣀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿

⣿⢸⣿⣿⣿⣿⡿⠿⠟⠛⠛⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠇⠸⠿⠿⠿⢿⣿

⣿⠸⠿⠿⠿⠿⠅⠂⠀⠀⠉⠉⠀⠀⠉⠉⠈⠩⠈⠉⠉⠉⠉⠉⠉⠹⠨⠸⠉⠉⠁⠈⠉⠡⠅⠁⠀⠹⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠇⢸⣿⣿⣿⢸⣿

                ䷩ 𝚕𝚒𝚗𝚎 3221

(ℹ) Images, hyperlinks and comments at http://techrights.org/2023/01/03/no-freesw-and-nda/#comments

Gemini version at gemini://gemini.techrights.org/2023/01/03/no-freesw-and-nda/

Gemini_version_available_♊︎

✐ When_You_Realise_That_Your_Employer_Not_Only_Abandons_Free_Software_But_is

Also_Becoming_Truly_Dodgy_(and_Starts_Taking_Money_From_Bill_Gates_Under_a_Non-

Disclosure_Agreement)⠀✐

Posted in Bill_Gates, Deception, Free/Libre_Software, Microsoft at 12:16 am by

Dr. Roy Schestowitz

Video_download_link | md5sum 8a72a6b59521aa3f57a2d3c616edc3af

Sirius Became as Dodgy as It Gets

Creative Commons Attribution-No Derivative Works 4.0

http://techrights.org/videos/dodgy-sirius-practices.webm

Summary: A look at half a dozen posts published here yesterday, ranging from

security failures to dodgy business practices and status (or several shells

registered and accommodated under false pretences)

THE past few years at Sirius_‘Open_Source’ were somewhat horrifying not just to

me personally; we’ve already shown some hard evidence that colleagues suffered

abuse from managers only months after a new shell in the US had bagged money

from the Gates_Foundation at a very mysterious time (we explained this mystery

yesterday). My wife suffered similar abuse — something which according_to_Tim

Bray_has_some_history_when_it_comes_to_Microsoft.

“It’s important to know when to leave.”The video above shows some very dodgy

things the company (its management) was doing and saying in recent years. The

video limits itself to stuff we covered in the past 24 hours alone. Later this

month we’ll provide more detailed and ample evidence.

While it’s totally unclear whether there’s a correlation between the Gates

money and the way the company was managed (denial would definitely be possible

and there’s an NDA) the reality of the matter is, Sirius was gradually moving

away from Free software — including infrastructure it had already had for more

than a decade! In turn, the company was becoming several shells (at least 3)

and at the moment everything is registered with some accountants rather than a

real address of a director or an office.

This series will hopefully become a cautionary tale not just about openwashing

companies (or formerly Free software companies). A lot of these things can

happen and do occasionally happen in other “IT” companies. It’s important to

know when to leave. █

                ䷩ 𝚕𝚒𝚗𝚎 3286

(ℹ) Images, hyperlinks and comments at http://techrights.org/2023/01/03/open-source-shell-game/#comments

Gemini version at gemini://gemini.techrights.org/2023/01/03/open-source-shell-game/

Gemini_version_available_♊︎

✐ Where_Sirius_‘Open_Source’Originally‘Re’(Started)_in_2017⠀✐

Posted in Deception, Free/Libre_Software at 12:02 am by Dr. Roy Schestowitz

🄸🄼🄰🄶🄴🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽⦇Sirius_‘Open_Source’street⦈

🄸🄼🄰🄶🄴🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽⦇Sirius_‘Open_Source’address-original⦈

🄸🄼🄰🄶🄴🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽⦇Sirius_‘Open_Source’in_London⦈

Summary: Before Sirius staff was forced to sign up with a newly-minted Sirius

‘Open_Source’ this is where the new shell was registered; it looks like a poor

residential area, not office space

⣿⣿⣿⣿⣿⡿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⢇⢤⣪⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⣿⣦⡘⢿⣾⡏⢸⡎⢿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⢷⢿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⢿⣷⣄⢹⣇⢸⠇⣾⡇⢸⣿⡟⣿⢹⢻⣿⣿⣿

⣿⣿⣿⣿⣿⣽⣥⣯⣾⣿⣾⣿⣤⣿⣿⣶⣿⣷⣦⣼⣿⣵⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢩⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣽⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣧⣿⣍⣥⣿⣿⣥⣿⣿⣯⣧⣽⣿⣯⣟⣫⣽⣯⣿⣿⣿⣿⣽⣽⣿⣯⣯⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⢿⣿⣿⣿⣿⡿⠛⠛⣿⣿⣿⠿⢿⣿⣿⣿⠛⣿⢿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⢀⣸⣿⣿⣿⣿⣇⠀⠀⣿⣿⣿⣄⣼⣿⣿⣿⣀⣼⣸⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣷⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⠿⢿⢿⡿⡿⣿⣿⠿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣾⣿⣾⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣷⣾⣾⣷⣿⣶⣿⣿⣾⣾⣿⣿⣿⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⣿⣿⣿⣿⣶⣿⣿⣶⣿⣾⣶⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⣿⣿⢿⣿⣿⢿⣿⣿⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣾⣾⣷⣿⣿⣷⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⡛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⢛⢻⡛⡟⢿⡟⠿⣟⠛⣻⡟⠿⢻⡟⠿⡿⠟⡛⣿⣿⢛⣻⣛⢿⣟⢛⢻⡻⢻⢿⣛⢻⣟⢻⡛⢿⣻⣻⣻⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⡿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⢻⣛⡿⣿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⠛⠻⣿⢻⣿⡟⣿⡟⠻⣿⢿⠛⣿⣛⡟⣿⠛⢿⢿⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣽⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⢻⡿⢻⣿⣿⣿⣿⣿⣿⣿⡿⢿⠿⡿⣻⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⣿⢿⡿⢿⣻⡿⡻⣿⠿⡿⣿⡟⢿⣿⢿⣟⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⣿⣶⣿⣶⣿⣿⣷⣾⣷⣾⣾⣿⣶⣿⣶⣿⣾⣿⣦⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⢿⢿⢿⣿⣿⣿⢿⢿⣿⢿⣿⡿⣿⠿⣿⡿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⢿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣾⣾⣾⣶⣿⣿⣾⣾⡶⣷⣿⣷⣿⣿⣴⣾⣶⣿⣾⣿⣧⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣾⣿⣷⣷⣷⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣾⣾⣿⣿⣼⣾⣿⣿⣧⣿⣾⣿⣶⣷⣧⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣼⣷⣥⣿⣧⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣬⣿⣮⣿⣧⣿⣧⣯⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣯⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣾⣿⣷⣼⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣭⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⣟⣿⣿⣿⣻⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣟⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⢀⣠⣤⣤⣤⣤⣄⣀⢀

⠀⠀⠀⠈⠁⠉⠉⠉⠈⠀⠀⠀⠈⠃⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢛⠛⠚⠛⠛⠋⠉⠉⠉⠉⠻

⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⢛⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠅⠀⠀⢠⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠫⠂⠀⢔⡁⢸⠀⠨⡆⠀⠀⠀⠀⠀⠀⠀

⢠⣄⣀⣒⣒⡀⠲⠶⠶⠶⠂⠠⢲⣶⣰⣶⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⡠⣰⣿⡇⠘⠀⠐⠉⠀⠀⠀⠀⠀⠀⠀

⠀⠀⣙⢛⠏⠁⠬⠍⠉⢀⣤⣶⣶⣽⣽⣬⣿⣿⣿⠿⠏⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⣨⣾⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠉⠀⠀⠀⠠⠤⠶⠿⠿⠿⠟⠛⢛⣯⣭⣴⣶⣶⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⣔⠀⠞⠋⠴⣾⠇⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀

⠀⠀⣠⣿⡧⡢⠲⡀⠀⠠⢴⡶⢶⣶⣶⣮⣍⣛⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⢐⣵⡟⠀⠀⢾⠀⠀⠀⠠⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠈⠉⠥⠤⠥⠀⠃⢀⣈⣔⠺⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⡀⡄⠸⢫⡅⡀⠄⠐⠂⠀⠀⠀⡂⢾⣧⠀⠄⠀⠀⠀⠀⠀

⠀⠀⠐⠒⣂⣠⣄⣀⣠⡬⣭⣄⡒⠶⢤⣈⣉⢙⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⡀⡿⠁⠠⢿⠉⡄⠀⠀⠀⣀⡄⣢⠄⣽⢧⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠈⠀⠁⠁⠀⠈⠙⠛⠒⠀⠙⠓⠙⠓⠮⠙⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠁⠹⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⡀⡞⠁⡸⠕⠀⠀⠀⠀⠠⢜⣀⣴⡄⢸⠂⢾⢷⠚⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢤⢀⡀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢠⡞⠁⠨⠂⠂⠀⠀⠀⢐⡇⢰⣿⣿⡿⠇⠘⠀⡁⠈⠀⠀⠀⠀⠀⠀⠀

⠁⠀⠀⠀⠀⠀⠀⠈⠰⠈⠶⠦⣤⣤⢌⢀⣐⣛⣿⣷⣦⣭⣭⠤⢴⣶⣧⣤⣶⡖⠂⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⣃⠂⠀⠀⡀⢀⡀⢰⣿⠸⠁⠘⠉⠁⠄⠀⢀⠀⢩⣤⢁⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠆⢀⠀⠈⠀⢀⢀⡐⠀⠈⠍⠯⠌⠍⠉⣍⣉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠉⠉⠛⠿⡟⠿⠿⠿⠿⠂⠀⠀⡀⣴⡆⠿⠃⠈⠅⠀⠀⠀⠀⠀⠄⠁⠀⠀⠸⠿⠶⠆⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠁⠈⠀⠀⠉⠉⠠⠤⠠⠌⠼⠄⠀⠐⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠵⠰⠿⠶⠇⡰⡇⢴⣤⣤⣤⡄⠶⠃⠃⠁⠄⢀⣁⣠⠤⠠⠤⠤⠤⠤⠤⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀

⠒⠲⢶⣶⣶⣶⣤⣄⡀⠀⠀⠀⠀⡀⠀⠀⣀⣀⣀⣀⣀⣀⠀⠀⠀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠈⠀⠁⠄⠐⠒⢨⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠙⢿⣿⣿⣿⣿⣦⠀⠀⠈⠁⠀⠀⣭⠉⠉⠈⠉⠉⠀⠀⠀⠉⠉⡍⠉⡉⠀⠀⠀⡀⠀⠀⠀⠀⠀⠉⠈⠛⠛⠃⠀⠁⠘⠋⠀⠀⠀⠀⠀⠀⠈⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⢄⢀⣬⣭⣤⡀⢀⡀⠀⠀⠀⠀⣀⠀⠒⡲⣒⠒⣄⣀⣀⣀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⣶⣶⣦⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⢀⠀⠀⠀⠀⠀⠀⠩⡻⣿⣿⠤⢉⣁⠂⠀⢠⣤⠬⠁⠀⠤⠈⠑⠊⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠛⠋⠉⠀⠍⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠮⢽⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠠⠈⠽⢿⢶⠾⢿⠿⠿⠓⠀⠀⠀⠀⠀⣀⠀⠄⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠠⣄⣀⠀⠀⠀⠈⠀⠀⢉⠇⣦⣀⣀⡀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠛⠃⠀⠀⠁⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠉⠑⠀⠀⢀⣨⢲⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠄⠀⠀⠡⠼⠀⠶⢦⡆⠀⣤⡤⢠

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⡆⠤⢠⡄⠀⠀⠀⠤⠤⠀⠀⠀⠀⠁⠁⠒⠒⠬⠴⣂⡠⠴⢶⡆⠀⠐⣄⣀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠠⠩⣄⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠓⢄⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠋⢭⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠁⠈⠂⠀⠀⠉⡁⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡀⢶⢺⣾⡤⠀⠀⠠⠀⠀⠀⠠⠄⠀⡰⢀⠇⠀⠀⠀⠀⠀⢀⣀⡀⠐⣶⣀⠽⣛⣖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠐⠥⡢⢈⠐⠠⢀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⣀⡀⠀⠀⠑⠚⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⡤⠔⠗⠃⠀⠀⠀⠀⠀⢀⣀⠬⠙⠉⢿⣝⡛⠿⣮⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠈⠀⠀⠀⠈⠑⠨⡂⠄⠈⠐⠠⠀⠀⠀⠀

⠀⠀⠀⠤⠔⠒⠒⠂⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠓⠒⠒⠬⣥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠨⡐⠄⡀⠁⠂⠄

⢒⣭⣥⣤⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⠐⠊⠀⢀⠀⢀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣋⣁⣀⣤⠤⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠢⣑⠠⣀

                ䷩ 𝚕𝚒𝚗𝚎 3402

(ℹ) Images, hyperlinks and comments at http://techrights.org/2023/01/03/report-on-sirius-open-source-inc/#comments

Gemini version at gemini://gemini.techrights.org/2023/01/03/report-on-sirius-open-source-inc/

Gemini_version_available_♊︎

✐ Full_Report_on_Sirius_‘Open_Source’_Inc./Limited/Corporation⠀✐

Posted in Deception, Free/Libre_Software at 8:13 pm by Dr. Roy Schestowitz

          🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Sirius_track_record_statement⦈_

Summary: Our report about Sirius_‘Open_Source’ (as longtime insiders at the

time) is available for reading by anyone who wishes to understand what Sirius

‘Open Source’ Inc./Limited/Corporation truly is

TODAY we publish a_PDF_version of the original report as sent to the company’s

management a little over a month ago and just before my wife and I resigned.

There are some typos in the document, which was prepared in a rush (just a

couple of days’ work), but the series as we’ve covered it so far offers a lot

more details, even some screenshots and better, additional context. It’s more

suitably organised and adapted to an audience who knows too little or nothing

about the company.

Download_the_statement/report (transmitted December 1st, 2022)

The series is far from over. Thus far we’ve only mentioned the stuff that was

put in the report. We’ve since then remembered additional aspects and angles,

which ought to be explained more properly, starting with the ‘gun-slinging’ by

the CEO. Of course it backfired very badly.

Expect this series to last at least another month. █

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣥⣿⣼⣿⣧⣿⣤⣿⣾⣿⣧⣿⣼⣼⣿⣯⣧⣧⣿⣷⣧⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

[55A⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⣀⣀⣆⣠⣑⣁⣀⣈⣀⣀⣀⣁⣀⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣿⢿⣿⣿⣿⢿⢿⣿⠿⡿⣿⣿⡿⣿⣿⣿⣿⣿⠿⠿⠿⣿⢿⢿⣿⢿⣿⣿⢿⣿⣿⣿⣿⡿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣧⢤⣄⣸⣥⢼⣤⣧⣤⣤⣄⣠⣤⣤⣴⣤⣤⣤⣤⣤⣤⣼⣤⡥⣤⢤⣼⣤⢼⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣧⣤⣬⣽⢴⣤⣾⣤⣤⣼⣤⣤⣤⣬⣤⣤⣤⣤⣤⣤⡤⣤⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣇⣀⢀⣀⣀⣸⣠⣀⣂⣀⣀⢂⣺⣀⣀⣀⣀⣀⣄⣀⢠⣇⣠⣁⣧⣀⣀⣨⣪⣢⣀⣡⣡⣭⣢⣀⣀⢀⣀⣀⣀⡁⣧⣆⣠⣇⣀⣄⣰⣇⣀⣸⢠⣈⣀⣀⣻⣨⣀⣥⣾⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡏⢁⣉⣩⣉⣇⣉⣉⣉⣩⣉⣹⣉⣉⣏⣏⣉⣉⣉⣈⣉⣩⣉⣁⣏⣉⢉⣈⣉⣇⣉⣉⣈⣉⣀⣉⠉⣏⣉⣉⡉⢉⣉⣉⣩⣍⣉⣉⣉⣁⡩⣹⣉⣈⣉⣉⣇⣁⣉⣏⣉⣩⠈⣽⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡏⠉⠉⡟⠉⠉⢸⠈⠉⣻⠉⠉⠙⠉⢙⠉⠉⠍⣫⠙⢩⠉⠉⠉⢹⠙⢙⢍⢭⢽⠉⠨⡋⡉⢩⡏⠉⠃⡇⠋⠉⠉⢸⠉⠋⠈⠉⢹⠉⠝⠉⠉⢩⠙⡉⠀⡟⢉⠉⠉⣯⠩⢻⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⢛⢻⢩⠉⠛⠛⡙⡟⠓⠋⡛⡟⠛⠛⠋⠛⡿⢿⠛⠛⠃⡎⠛⢫⠙⠛⢻⠛⠛⡟⠛⠛⠛⢻⠛⠛⠋⠒⠛⡟⢿⡇⢻⠛⡟⠓⠛⠛⢻⠙⠛⠙⠛⡋⢿⡏⠙⠛⢻⡟⢻⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡗⠛⠟⠛⠛⠞⠟⠻⢺⠟⠙⠛⠛⢺⠋⠛⢿⠛⠛⠹⢻⠛⢋⡟⡟⠟⢿⠟⠛⠏⡟⠛⠛⠻⠋⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣷⣾⣷⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣧⣶⣶⣶⣶⣶⣶⣶⣾⣶⣶⣶⣶⣾⣶⣶⣾⣶⣶⣶⣾⣶⣾⣶⣶⣶⣾⣶⣶⣶⣷⣶⣶⣶⣶⣾⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡿⢿⡿⠿⠿⡿⡿⠿⡿⣿⠿⠿⠿⠿⠿⠿⠿⡿⡿⣿⠿⠿⢿⠿⡿⠿⡿⢿⠿⡿⣿⣿⠿⠻⣿⠿⢻⠿⡿⢿⣿⠻⢿⢿⠻⠿⠿⠿⠿⡟⠿⠿⠻⡿⠿⠟⡿⡿⠻⢿⡟⠿⡿⢿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡧⣬⢤⣤⣤⢤⠧⢤⢧⣷⣥⠤⣤⣠⣤⣤⣤⣧⡤⣥⣤⣤⣤⡤⣧⣤⡤⣼⢤⡤⣾⣤⣤⢤⣶⣥⣽⣤⣤⣢⣽⣤⣤⣼⣤⣴⣦⡤⢀⡧⠤⣤⣤⣤⡤⣤⣷⡤⠤⠤⣧⣤⣬⣼⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣇⣤⣤⣤⣦⣼⣤⣤⣤⣤⣼⣥⣇⣦⣤⡤⣼⣠⣤⣤⣴⣧⣤⣧⣤⣴⣃⣤⣤⣤⣤⣀⣧⣤⣴⣧⣤⣤⣄⣤⣤⣄⣼⣤⣬⣤⣤⣦⣬⣿⡤⣤⣾⣤⣤⣤⣧⣤⣮⣤⣤⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣇⣁⣑⣻⣀⣈⣀⣀⣀⣹⣀⣁⣈⣈⣸⣀⣀⣹⣈⣊⣐⡁⣁⣀⢌⣇⣁⣏⣃⣐⣘⣀⣰⣇⣸⣀⣁⣸⣈⣀⣀⣁⣀⣂⣁⡅⣀⣀⡀⣼⣀⣀⣹⣀⣀⣀⣹⣀⣁⣈⣸⣈⣀⣹⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣏⣀⣀⣈⣉⣉⣉⢎⢯⣉⣹⣁⣉⣁⣹⠉⣩⣈⣍⣉⣉⣩⣉⣹⣉⣉⣹⣈⣁⣉⣉⣉⣉⣁⢩⣏⣈⣉⣁⣈⣉⣷⣰⣈⣹⣈⣉⣉⣉⣉⣹⣉⣉⣸⣩⣉⣀⣉⡉⠩⣉⣉⣹⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡏⠋⠙⡏⠙⢙⠋⠙⠉⠋⠻⠏⠙⠉⠙⠍⢻⡋⠙⠉⡟⠙⠙⠝⠋⠉⠙⠙⢿⠉⠙⠋⠋⢹⠫⠝⠉⢉⢻⠋⣉⠛⠉⠋⠉⠙⠉⠉⢹⠙⠙⠙⠉⡝⠋⠉⠋⠉⠋⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣯⠉⠛⠛⢻⠛⠋⠉⡏⠛⢻⠛⠛⠛⠛⠛⠛⠛⢹⠙⢻⠛⠛⠛⠙⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣾⣾⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡯⢹⣿⣿⣿⢉⡉⡉⠉⠋⠋⠉⢹⠉⠙⠙⠉⠉⠛⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣗⣀⣈⣹⣁⣉⣉⣉⣉⣁⣁⣙⣁⣀⣉⣉⣏⣑⣁⣇⣉⣈⣈⡈⢈⣹⢉⣁⣏⣉⣁⢈⣻⣀⣉⢌⣇⣉⣁⣏⣉⣁⣉⣉⣀⣍⣁⣏⣁⡁⣁⣉⣈⣉⣉⣁⣧⣉⣁⣘⣉⡁⢹⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣏⣨⣩⣉⣩⠉⣉⣈⣉⣉⠍⣛⣉⣉⣉⣉⣅⣉⣹⣍⣉⣉⣉⣉⢿⣈⣉⣍⣉⣅⣈⡉⢽⣉⣬⣽⣉⣈⣙⣈⣈⣉⣉⣉⣉⡹⣏⣉⣏⣉⣉⣉⣉⣹⣉⣠⣫⣀⣉⣉⣉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡟⠛⠫⢟⠟⠋⠉⠛⠛⠙⠛⠛⡟⠛⠉⢹⠛⠛⢹⠙⠛⡟⠛⠛⠛⠉⠛⠛⠛⠏⢫⢛⠛⠛⢻⠛⠛⠛⠛⠛⠹⠛⠋⡛⡟⡛⠋⠛⠛⠙⠋⢹⠙⢻⠛⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⢛⢫⢻⠉⠝⠃⠊⢛⠛⠛⠻⡟⠛⠙⢛⠛⠻⠛⠛⠛⠝⢻⠛⠛⠛⢛⢻⠓⠛⠛⡛⣻⠙⡟⠛⠛⠛⠙⢛⢿⡚⠛⠛⢋⢻⠙⢛⡟⠙⠛⠛⠛⢹⠛⠛⠙⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡟⠛⢟⡻⠓⠻⠻⠻⢻⡿⢻⠛⡟⠳⠛⠟⠛⠻⠟⠟⢻⠛⠞⠻⠛⠚⡿⠚⠟⡟⠗⠞⠛⠟⠟⡟⠛⢻⠛⠻⠛⢛⠞⠛⠻⢻⠛⠛⠟⠻⠛⠻⢻⠻⠻⣻⡟⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡷⠶⠶⠖⠶⠶⠶⢶⠲⡷⠷⠶⠗⠒⠶⡶⠶⠶⠖⠲⠞⠖⠶⠶⠶⠶⠷⡶⠲⠷⠶⠶⠶⠖⣶⢓⠮⠾⠾⠶⢶⠶⠶⠶⠶⠾⢶⠶⠶⠾⠖⠖⠾⠶⡖⠶⠷⠶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡷⠶⡷⡶⠶⠶⠷⡾⡶⡶⢷⠶⠶⣶⢥⢷⠶⡶⢶⡶⢶⠶⣾⠶⡤⢶⠶⡷⡶⢶⢶⢶⢶⠶⣾⠶⢶⡶⠶⡶⣷⢶⠶⠶⢶⠶⣾⠶⠶⢴⡶⡶⡶⠤⠷⡶⠶⡾⡿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣧⣬⣤⣥⢤⢤⣤⢤⡤⣧⣤⣤⠦⢦⣠⣥⣤⣤⣠⣌⣤⣦⣦⣤⣠⣤⣥⣷⣶⣤⣬⡬⣤⣴⣤⡤⣤⣮⣤⣧⣦⣦⣥⣤⣤⣥⣼⣤⣤⡤⣧⣤⣤⣤⢤⣄⣦⣧⡤⣬⣼⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣇⣤⣤⣦⣤⣤⣤⣼⣤⣤⣤⣥⣥⣴⣤⣤⣤⣤⣤⣤⣤⣤⣧⣤⣤⣧⣤⣤⣼⣤⣤⣤⣧⣤⣂⣦⣤⣤⣴⣴⣤⣤⣤⣦⣤⣼⣤⣤⣄⣦⣤⣼⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣌⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣇⣁⣁⣈⣀⡀⢸⢈⣈⣠⣀⣁⣉⣀⣇⣀⣇⣈⣀⣻⣀⣋⣘⣑⣁⣀⣈⣸⣀⣉⣏⣀⣅⣉⣀⣁⣈⣈⡀⣘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⡿⣿⣿⣿⡿⡿⣿⣿⢿⣿⣿⡿⢿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣇⣸⣿⣿⣿⣐⣀⣂⣀⣈⢀⣀⣀⡠⢱⣅⣂⣀⣀⣀⣌⣆⣀⣀⣰⡅⡐⢀⣃⣀⣂⣐⣇⣌⣀⣀⣀⣀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣟⠛⠿⢿⠿⠿⠟⠿⡿⠿⠻⠿⠿⠿⡿⠟⡿⠻⠻⢿⠟⠿⠿⠿⠿⠿⠿⢿⠻⢿⠛⠻⠿⠿⢿⡿⢿⠿⠿⠿⠿⠿⠿⠿⡿⠿⠿⠻⠿⠿⠿⠿⢻⠿⠿⠟⠿⠿⠿⠿⠿⠿⠿⢻⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⠶⠶⢼⣤⣤⡤⡤⡧⢦⣦⢴⣴⠥⣧⣦⠷⢶⣶⣾⣤⣴⡴⣵⣶⠦⢶⣾⣶⣾⣴⢤⢷⣴⣬⣧⡾⢴⣵⣶⣤⣦⡴⢥⣧⣦⣤⣴⣦⣴⣶⡦⣾⣤⣶⣴⣴⣿⠴⣶⣦⣶⣴⣾⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣧⣤⣤⣤⣴⡤⣤⣧⣥⣥⠼⣤⣼⣤⣤⡼⣬⡤⣤⢄⣠⣤⣤⣤⣬⣤⡤⣤⣤⣤⣦⢡⣤⣠⡤⣤⣤⡤⣄⣸⣤⣤⣧⣤⣤⣧⣤⣤⣀⣤⣦⡤⣇⢦⣤⡴⡼⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣇⣄⣄⣤⣀⣀⣠⣀⣘⣧⣫⣀⣄⣄⣀⣀⣠⣇⣸⣀⣼⣀⣠⣸⣀⣀⣀⣠⣆⣰⣠⣸⣄⣀⣄⣄⣰⣄⣤⣸⣠⣀⣠⣄⣇⣀⣀⣀⣠⣅⣠⣇⣸⣀⣀⣀⣇⣄⣄⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣏⣉⠉⣈⣉⣉⣍⣁⣯⣉⣈⣉⣉⣇⣈⡩⢹⣉⣉⣁⣇⣐⣈⣉⣉⣉⡇⣉⣈⣉⣉⣸⣀⣉⣹⣉⣉⣉⠉⣉⣉⢍⣻⣐⣀⣉⣉⣉⣉⣉⣛⣁⣉⣉⣏⣈⣋⣉⠉⣉⣁⣏⣹⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡇⡁⢹⢉⢈⢉⢹⠉⡉⠁⡩⠉⠀⢉⡇⠉⠩⠉⡉⠉⢙⣏⢁⣍⠉⢹⠁⠁⣉⡏⡉⡉⠉⢉⠉⠉⢹⢉⢅⠈⢹⡉⠉⡇⢈⢉⠉⢹⢉⣉⢹⡀⠀⣉⠩⣋⢈⡉⡏⢉⠉⠉⢼⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡏⢩⠻⡟⠛⠛⠻⠙⠋⢛⠛⠛⠛⠙⠛⢻⠙⠛⠛⠛⠟⡟⠋⠛⠋⠛⡟⠋⡟⠋⠙⠛⠛⠛⡟⠛⠛⢹⠙⠙⠛⠛⠙⢻⠙⠛⠛⠛⠉⠋⠛⡟⠛⠛⢛⢻⠛⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠿⠿⡿⡿⠿⢿⠿⡻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣶⣷⣷⣶⣾⣦⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡿⠿⡿⢿⢿⣿⣿⡿⢿⠿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣅⣀⣸⣐⣀⣀⣀⣀⣀⣀⣀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡏⡏⠛⠛⠋⠙⠛⠛⠛⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠙⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣷⣷⡇⡎⠐⠑⠒⠓⠋⠀⠊⠐⠒⠶⠶⠶⠷⠾⠷⠶⠶⠶⠶⠶⠶⠶⠶⠷⠶⠶⠶⠶⠾⠶⠷⠶⠾⠶⠷⠶⠶⠶⠶⠾⠶⠶⠶⠶⠶⠶⠶⠶⠾⠶⠶⠶⠶⠷⠶⠶⠶⠶⠶⠘⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⡏⠉⠉⠉⡁⠉⢹⠉⡉⠉⣉⠉⡙⡉⠉⠉⠉⠉⡍⡉⠉⠉⠙⠻⠟⠛⠛⠻⠛⠟⠻⠟⠛⠟⠛⠛⠛⠛⠻⠛⠿⠛⠛⠛⠛⠛⠛⠛⠛⠿⠛⠻⠛⠛⠛⠻⠛⠛⠛⠋⢉⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⣃⣈⣉⣉⣉⣉⣉⣁⣄⣀⣈⣁⣈⣉⣉⣉⣉⣉⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣈⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣇⣰⣀⣈⣁⡂⢉⣉⣃⣈⣉⣉⣉⣀⣈⣙⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣋⣈⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⡧⢄⡄⠤⣤⣤⡀⣠⡤⣤⠄⣈⠉⣍⣉⣍⣉⣉⣉⣉⣉⣉⣍⣉⣉⣉⣉⣉⣉⣭⣉⣭⣉⣉⣉⣍⣉⣉⣹⣉⣩⣉⣉⣉⣉⣉⣉⣉⣍⣩⣉⣉⣉⣉⣍⣩⣉⣉⣉⣁⢨⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⡥⡥⠤⠤⠤⠤⢤⠤⠤⠤⠤⠬⠠⠤⣤⣬⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⡥⠤⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡆⢤⠀⠤⢤⠘⠤⠄⠤⠤⠄⠤⠀⠬⣭⣭⣭⣤⣭⣬⣥⣭⣭⣭⣭⣭⣭⣭⣭⣭⣬⣥⣭⣭⣭⣭⣭⣥⣭⣬⣭⣭⣭⣭⣭⣬⣥⣭⣭⣭⣥⣭⣬⣭⣭⣭⣭⣭⣥⣥⠐⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⡖⠖⠒⠒⠖⠲⠒⠲⠒⠆⡀⠒⠐⠰⠒⢲⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡖⠚⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⠗⠗⠒⠒⠒⠒⢲⠒⠒⡒⠒⠒⠒⠲⢶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⡶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠒⠚⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣅⠁⠒⠐⠒⠈⠒⡀⠐⠓⠲⠒⠂⡆⠀⠒⠀⠒⡂⠂⠂⠰⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠂⠸⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⡋⠉⠉⠉⠉⠙⠉⠉⠉⠏⠋⠉⠟⠿⠻⠿⠿⠿⠻⠿⠿⠿⠿⠟⠿⠛⠟⠿⠿⠿⠿⠻⠟⠿⠻⠿⠿⠿⠟⠿⠿⠿⠿⠟⠻⠻⠿⠿⠿⠿⠿⠟⠟⠿⠿⠿⠿⠻⠟⠉⠩⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⣁⣉⣉⣉⠉⣉⣉⣇⣁⡉⢉⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣁⣈⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⣁⣉⣉⢉⣉⣸⢀⣈⣉⡉⣈⣉⣉⣁⣁⣌⣉⣁⣈⣉⣉⣉⣁⣀⣈⣈⣁⣈⣉⣉⣉⡈⣈⡈⣙⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣀⣀⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠬⡤⢤⣤⣤⣤⣤⢼⣤⡤⢤⣤⣤⣠⣧⣤⣄⣤⣠⣤⣤⣤⣤⣤⣌⣉⣍⣭⣭⣩⣭⣩⣉⣩⣩⣭⣭⣭⣍⣭⣩⣍⣩⣉⣩⣩⣭⣩⣭⣍⣍⣉⣍⣭⣭⣭⣍⣉⣍⠤⢨⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠤⠬⢤⡤⣤⠤⠤⡤⢀⣧⣤⠤⠤⠤⢤⠬⠭⠭⠭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⠤⠤⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠤⠤⠤⠤⠤⠤⠤⠥⠤⠠⠤⠤⡬⠤⠤⠤⠤⠤⠤⠭⢭⠭⠍⠭⠭⠩⠭⠭⠭⠭⠭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⠤⠼⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠒⠒⠲⠶⠶⠖⠶⢶⣶⣶⣶⣶⣷⣷⣶⣶⣶⣶⣶⣶⣾⣶⣶⣶⣶⣶⣶⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⠒⠒⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠒⠒⠒⠒⠒⠐⠒⠒⠒⠂⠒⠒⠂⡖⠒⠒⠒⠒⠒⠒⠒⠒⠒⠂⠒⠒⠒⠲⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⡶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠒⢲⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡏⠉⡁⡄⠒⠀⠒⠈⠂⠒⠒⠀⠒⠲⠶⠶⠷⠷⠶⠶⠶⠶⠶⠶⠾⠶⠶⠶⠷⠶⠷⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠷⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠷⠄⠘⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⡏⠉⡏⠍⠛⠉⠉⠁⠈⠉⠂⠉⠋⠉⠙⠙⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠉⠙⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⡏⠉⠀⠉⡉⠉⠉⡉⢉⡁⠉⡉⠉⠁⢙⠉⡈⠉⠉⣙⠉⠁⡏⠉⠉⠉⠉⡋⠉⠁⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢛⠛⠛⠛⡉⢹⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⣃⣈⣉⣈⣉⣅⣀⣉⣉⣉⣁⣉⣩⣁⣄⣈⣑⣈⣉⣉⣉⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣁⣀⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣧⣼⣀⣀⣀⣀⣀⣀⣀⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣏⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣋⣄⣰⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠿⠿⡟⠿⠿⢿⠿⠻⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣶⣶⣷⣶⣾⣦⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⡿⢿⡿⣿⣿⣿⡿⣿⣿⣿⡿⣿⣿⣿⢿⡿⢿⡿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣷⣾⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣷⣿⣾⣿⣿⣷⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                ䷩ 𝚕𝚒𝚗𝚎 3671

(ℹ) Images, hyperlinks and comments at http://techrights.org/2023/01/03/unitary-effect-pink-unicorn/#comments

Gemini version at gemini://gemini.techrights.org/2023/01/03/unitary-effect-pink-unicorn/

Gemini_version_available_♊︎

✐ The_EPO_is_Lying_or_Just_Strategically_Faking_It.There’s_No‘Unitary_Effect’

at_the_EPO.There’s_No_Unitary_Patent_or_Unified_Patent_Court(UPC)_Either.⠀✐

Posted in Deception, Europe, Patents at 4:45 am by Dr. Roy Schestowitz

Video_download_link | md5sum 1d785a06e1bc440f4b806426dbd77fbb

There is No Unitary Effect at EPO

Creative Commons Attribution-No Derivative Works 4.0

http://techrights.org/videos/epo-faking-unitary-effect.webm

Summary: Don’t fall for the “unitary effect” ploy or the scam; the European

Patents Office (EPO) boasts requests for something that does not exist, might

never exist, or simply collapse_shortly_after_its_false_start

THE EPO, being run by liars and thugs (Benoît_Battistelli and his mate António

Campinos since 2010) not only pretends that European_software_patents are

magically OK, especially if framed as “HEY HI” (AI) or some other nonsense. It

now pretends that applicants can request “unitary effect”. It’s shown in the

video above. We joked about it with some memes earlier this month. █

                ䷩ 𝚕𝚒𝚗𝚎 3712

╒═══════════════════ 𝐃𝐀𝐈𝐋𝐘 𝐋𝐈𝐍𝐊𝐒 ═════════════════════════════════════════════╕

Gemini_version_available_♊︎

✐ Links_03/01/2023:_Budgie_Enters_Fedora_Linux_38_as_ISO⠀✐

Posted in News_Roundup at 7:37 am by Dr. Roy Schestowitz

🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈

§ Contents⠀➾

* GNU/Linux

      o Desktop/Laptop

      o Audiocasts/Shows

      o Graphics_Stack

      o Applications

      o Instructionals/Technical

      o Games

* Distributions_and_Operating_Systems

      o New_Releases

      o Fedora_Family_/_IBM

      o Canonical/Ubuntu_Family

      o Devices/Embedded

      o Open_Hardware/Modding

      o Mobile_Systems/Mobile_Applications

* Free,_Libre,_and_Open_Source_Software

      o Productivity_Software/LibreOffice/Calligra

      o Content_Management_Systems_(CMS)

      o Programming/Development

            # Shell/Bash/Zsh/Ksh

* Leftovers

      o Science

      o Proprietary

      o Security

            # Privacy/Surveillance

* Gemini*_and_Gopher

      o Technical

            # Programming

* § GNU/Linux⠀➾

      o § Desktop/Laptop⠀➾

            # ⚓ Hindustan Times ☛ Top_10_ubuntu_laptops_:_A_buying_guide⠀⇛

                   Ubuntu laptops offer the latest in computing

                   technology packed into a light and portable form

                   factor. With the Ubuntu operating system, users get

                   a powerful, secure, and reliable platform to work

                   and play on. Ubuntu laptops are designed to meet a

                   wide range of needs, from simple web browsing to

                   advanced programming. With a wide range of hardware

                   configurations, users can find the perfect laptop

                   that fits their needs. Whether you’re looking for a

                   basic laptop or a powerful workstation, Ubuntu

                   laptops are a perfect choice.

                   [...]

                   It runs on Ubuntu, offering a secure, stable and

                   user-friendly interface.

            # ⚓ Hectic Geek ☛ Best_Linux_Distro_for_Beginners_in_2023:_Top

              6_Picks⠀⇛

                   Looking for the best Linux distro for beginners in

                   2023? We compared and ranked the best picks. If you

                   want to know more about this topic, we recommend

                   you read our article!

      o § Audiocasts/Shows⠀➾

            # ⚓ Late_Night_Linux_–_Episode_210_–_Late_Night_Linux⠀⇛

                   Real hope for a local-only voice assistant, Matrix

                   learns an age-old lesson about funding FOSS, 2022

                   was the year of Linux on the desktop, Mozilla is

                   about to catch up to the Mastodon trend, there

                   definitely won’t be a Raspberry Pi 5 this year

                   (honest), and KDE Korner.

      o § Graphics Stack⠀➾

            # ⚓ Linux Links ☛ 7_Best_Free_and_Open_Source_Stacking_Wayland

              Compositors_–_LinuxLinks⠀⇛

                   A window manager is software that manages the

                   windows that applications bring up. For example,

                   when you start an application, there will be a

                   window manager running in the background,

                   responsible for the placement and appearance of

                   windows.

                   It is important not to confuse a window manager

                   with a desktop environment. A desktop environment

                   typically consists of icons, windows, toolbars,

                   folders, wallpapers, and desktop widgets. They

                   provide a collection of libraries and applications

                   made to operate cohesively together. A desktop

                   environment contains its own window manager.

                   There are a few different types of window managers.

                   This article focuses on stacking Wayland

                   compositors. We cover tiling Wayland compositors in

                   a separate article.

      o § Applications⠀➾

            # ⚓ OMG Ubuntu ☛ ’Converter’_is_a_Slick_Image_Conversion_Tool

              for_Linux_–_OMG!_Ubuntu!⠀⇛

                   On the hunt for an open-source Linux app you can

                   use to quickly convert images from one image format

                   to another?

                   I know I was!

                   Don’t get me wrong, online image converters are

                   okay. But sometimes they don’t work, sometimes they

                   take too long, and sometimes they subject me to a

                   barrage of pop-ups, prompts and other annoyances —

                   “No, I don’t want to enable push notifications for

                   this site”, I hiss, “cos you’re an image converter,

                   not a news source”.

                   But all that is forgotten since I discovered

                   Converter, a new GTK4/libadwaita image converter

                   for Linux desktops — and this post is about it!

            # ⚓ DebugPoint ☛ Whereis_Command_in_Linux_and_BSD_with

              Examples⠀⇛

                   The whereis command is a command line program that

                   helps you to find out the path or location of any

                   binary executable, source file or manual page.

                   Here’s some examples for you to learn this command.

      o § Instructionals/Technical⠀➾

            # ⚓ Net2 ☛ What_you_need_to_do_to_secure_Ubuntu⠀⇛

                   Ubuntu is a popular and secure operating system,

                   but there are still steps you can take to further

                   secure your system and protect your data. In this

                   tutorial, we will explore a variety of tips and

                   techniques to secure your Ubuntu system, covering

                   topics such as updating and patching, strong

                   passwords, firewalls, antivirus software, and more.

                   Here are several tips to help with Ubuntu security.

            # ⚓ Red Hat Official ☛ Top_10_Linux_security_tutorials_for

              sysadmins_from_2022_|_Enable_Sysadmin⠀⇛

                   An ounce of prevention is worth a pound of cure.

            # ⚓ TecAdmin ☛ How_to_Create_Bash_Aliases_with_Parameters_–

              TecAdmin⠀⇛

                   Bash aliases are shortcuts that allow you to use a

                   shorter or simpler command to represent a longer or

                   more complex command. Bash aliases are useful when

                   you frequently use long or complex commands and

                   want to save time and effort by using a shorter or

                   simpler command instead. To create a Bash alias

                   with arguments and parameters, you can use the

                   alias command and include variables in the alias

                   definition.

                   In this article, we will explore how to create Bash

                   aliases with arguments and parameters.

            # ⚓ TecAdmin ☛ How_to_Install_Pip_on_Ubuntu_22.04_–_TecAdmin⠀⇛

                   Pip is a package management system used to install

                   and manage software packages written in Python. It

                   stands for “Pip Installs Packages” and is a helpful

                   tool for developers to easily share and collaborate

                   on code. In this article, we will explain how to

                   install Pip on Ubuntu 22.04.

                   Before installing Pip, make sure that Python is

                   installed on your system. Ubuntu 22.04 comes with

                   Python 3.9 pre-installed, so you don’t need to

                   worry about installing it.

            # ⚓ Linux Hint ☛ How_to_Check_If_Crontab_Is_Working⠀⇛

                   Crontab stands for cron table, where cron is

                   obtained from the Greek word Chronos which means

                   time. Crontab is a scheduler that is responsible

                   for managing the tasks that are scheduled by the

                   user. The crontab is the set of commands that

                   enables the system to perform the tasks

                   automatically. It is the silent job handler. Due to

                   which, it becomes necessary to check whether it is

                   working properly or not. If we don’t check for the

                   crontab whether it is working or not, it stops the

                   system from working. For example, if we want to

                   back up the database regularly for some reason,

                   crontab stops working. If we don’t check for that

                   until the crontab is started again by the user, the

                   whole data will be lost. The sixth is a fixed

                   number of fields. The first five of which are used

                   to store the time and date on which the job is done

                   and the sixth one is the command to be executed.

            # ⚓ HowTo Forge ☛ How_to_install_PHP_5.6_and_7.0_–_8.2_with

              PHP-FPM_and_FastCGI_mode_for_ISPConfig_3.2_with_apt_on_Debian

              9_to_11⠀⇛

                   In this guide we will take you through installing

                   additional PHP versions (5.6, 7.0, 7.1, 7.2, 7.3,

                   7.4, 8.1, and 8.2) on a Debian server…

            # ⚓ Linux Capable ☛ How_to_Install_Wike_on_Fedora_Linux_–

              LinuxCapable⠀⇛

                   Wike is a lightweight and open-source Wikipedia

                   reader app for Linux-based GNOME desktops and uses

                   the MediaWiki API to fetch content from Wikipedia.

                   The following tutorial will teach you how to

                   install Wike on Fedora Linux using a COPR

                   repository or the Flatpak package manager utilizing

                   the Flathub with cli commands for those looking for

                   a fast and lightweight way to view Wikipedia

                   articles on their Fedora desktop.

            # ⚓ List_of_Special_Parameters_in_Bash_with_Examples⠀⇛

                   Before you can understand what special parameters

                   are, you must first understand what parameters are:

                   Any entity that stores a value (also known as a

                   variable) is the parameter.

                   Yes, it’s that short in definition; now, special

                   parameters are a few predefined parameters given by

                   your shell that hold read-only information related

                   to your existing shell session.

                   This parameter can be used in your terminal or

                   shell script to control how the script runs by

                   figuring out the user’s shell session or getting

                   the arguments the user has given.

            # ⚓ Startup/execution_time_for_a_specific_command_line_tool⠀⇛

                   Generally I don’t have to bother about the startup

                   time of any command line tool. For a human eye and

                   normal day to day usage, if a command takes half a

                   second to finish the job, it is not much of a

                   problem. But, the story changes the moment we talk

                   about a command which we have to run multiple

                   times. What about about a command which have to

                   execute multiple times every minute? This is the

                   time when the startup and execution time matters.

                   A few weeks ago I was looking at a Python script

                   which was executing as part of Nagios run, it was

                   doing an API call to a remote server with JSON data

                   coming in as command line arguments. Now, to make

                   it scale more the first thought was to move the

                   actual API call to a different process and get the

                   original script to load things into a Redis queue.

                   But, the other issue was the startup time for the

                   Python script, having something with lesser startup

                   time would be more help in this case, where nagios

                   may execute the script/command over a few hundred

                   times in every minute.

            # ⚓ Beginners_Guide_for_Sleep_Command_in_Linux⠀⇛

                   As its name suggests, the sleep command is commonly

                   used by shell script writers to delay the execution

                   of individual or portions of commands specified

                   after this command in script.

                   Using this command, you can delay the next

                   command’s execution for the specified number of

                   seconds (the default), minutes, hours, and days

                   using different suffixes.

                   In this article, you will learn about the sleep

                   command with its different suffixes and how to use

                   it in shell scripts to pause the execution for a

                   certain period of time.

            # ⚓ dwaves.de ☛ Starlink_->_Google_->_Blocking_altnerative_DNS

              Servers!!!_–_how_to_setup_Firefox_to_use_Tor_Proxy⠀⇛

                   the reason this time was NOT on the server-side,

                   but on the Google side, blocking all DNS servers

                   that are NOT google.

                   while this can be understood in the terms of

                   CyberSec:

                   + (manipulation of DNS servers, forwarding visitors

                   of banking.com to a malicious website, that looks

                   exactly like the original site).

                   – it is another step towards more internet

                   surveillance, as a DNS server is de-facto asked

                   EVERY time a client makes a connection to

                   domain.com

                   possible solution: tunnel all traffic over tor.

            # ⚓ HowTo Forge ☛ Update_the_ISPConfig_Perfect_Server_from

              Ubuntu_20.04_to_Ubuntu_22.04⠀⇛

                   This tutorial will take you through updating a

                   server managed by ISPConfig from Ubuntu 20.04

                   (Focal Fossa) to Ubuntu 22.04 (Jammy Jellyfish).

            # ⚓ Linux Hint ☛ A_Beginner’s_Guide_to_a_Multistage_Docker

              Build⠀⇛

                   Docker multi-stage build is the process of

                   specifying a series of builds in a Dockerfile. In

                   other words, the Dockerfile contains multiple

                   “FROM” statements in a single file, and the new

                   from statement utilizes different or previous base

                   instructions. The multistage build enables

                   developers to break down the development process

                   into multistage. Moreover, the base instruction is

                   referred to as installation or setup instructions,

                   and other instructions use dependencies of base

                   instruction to function properly.

            # ⚓ Cloudbooklet ☛ How_to_Install_or_Upgrade_PHP_8.2_on_Ubuntu

              22.04_–_Cloudbooklet⠀⇛

                   The most recent version of PHP, 8.2, was published

                   in 2022. You will learn how to install the most

                   recent PHP version, which is 8.2, on your Ubuntu

                   22.04 machine or server and configure it with

                   Apache and Nginx in this tutorial.

                   Additionally, you’ll discover how to set up an

                   alternative PHP version and downgrade or upgrade to

                   an earlier or newer version.

                   This guide also shows you how to configure PHP INI

                   settings, FPM settings, pools, and other things

                   that are more effective for an effective execution

                   of your application.

                   On the Google Cloud Platform, a Compute Compute

                   Engine VM Instance running the Ubuntu 22.04

                   operating system is used to test this installation.

                   All Linux distributions will support this setup.

            # ⚓ Linux Capable ☛ How_to_Install_Git_on_Fedora_Linux_–

              LinuxCapable⠀⇛

                   GIT is a free, open-source version control system

                   that can efficiently manage small or huge projects.

                   The following tutorial will teach you how to

                   install the latest or upgrade GIT on Fedora Linux

                   using the command line terminal and some basic

                   commands and tips on using GIT cli commands.

            # ⚓ TecMint ☛ How_to_Use_dd_Command_in_Linux_[15_Useful

              Examples]⠀⇛

                   In this advanced guide, we will discuss some

                   practical examples of the dd command. After

                   following this guide, advanced users will be able

                   to work with the block devices comfortably from the

                   command line interface.

                   In Linux, everything is a file and the block

                   devices are not an exception to it. Often time, we

                   need to work with block devices. As Linux users, we

                   perform a variety of operations on block devices,

                   such as, – taking a backup of a disk or partition,

                   backing up Master Boot Record (MBR), making a

                   bootable USB drive, and the list goes on.

                   Certainly, we can use graphical tools to perform

                   all these operations. However, most Linux

                   administrators prefer to use the dd command due to

                   its rich functionality and robustness.

                   In this advanced guide, we will learn about the dd

                   command to convert and copy files. However, unlike

                   the cp command most of the time it’s used with

                   block devices.

            # ⚓ Trend Oceans ☛ How_to_Find_the_System_Restarted_Time_in

              Linux_–_TREND_OCEANS⠀⇛

                   Because Linux systems do not require reboots, we

                   run them for a week, month, year, and so on. To

                   find out how long it’s been running, use the last,

                   who, and uptime commands.

            # ⚓ Linux Capable ☛ How_to_Install_Kate_on_Fedora_Linux_–

              LinuxCapable⠀⇛

                   Kate is a free, open-source, multi-document, multi-

                   view text editor developed by KDE. It has many

                   useful features for programmers and other power

                   users, including code folding, syntax highlighting,

                   dynamic word wrap, an embedded console, an

                   extensive plugin interface, and some preliminary

                   scripting support. In the following tutorial, you

                   will learn how to install Kate Text Editor on

                   Fedora Linux using the command line terminal with

                   various installation options to install the text

                   editor.

            # ⚓ Linux Capable ☛ How_to_Install_Chromium_on_Fedora_Linux⠀⇛

                   Chromium is an open-source browser project that

                   builds a safer, faster, and more stable way for all

                   users to experience the web on their Fedora

                   desktop. In the following tutorial, you will learn

                   how to install Chromium Web Browser on your Fedora

                   Linux desktop using two Fedora default repository

                   methods or the Flatpak method and how to maintain

                   and remove the browser in the future.

            # ⚓ Linux Capable ☛ How_to_Install_OnlyOffice_on_Fedora_Linux⠀⇛

                   ONLYOFFICE is a powerful and versatile office suite

                   that allows you to edit text documents,

                   spreadsheets, or presentations easily. In the

                   following tutorial, you will learn how to install

                   OnlyOffice on Fedora Linux by downloading the

                   official RPM repository and installing it manually

                   or using the third-party package manager Flatpak

                   which is natively installed.

            # ⚓ Linux Capable ☛ How_to_Install_Foliate_on_Fedora_Linux⠀⇛

                   Foliate is free, open-source software that focuses

                   on reading and supports book management with a

                   detailed library view that supports most e-book

                   formats, such as EPUB and AZW(3). In the following

                   tutorial, you will learn to install Foliate on

                   Fedora Linux using one of two methods: dnf package

                   manager with Fedora’s repository, flatpak package

                   manager, and some tips for maintaining or removing

                   Foliate in the future.

            # ⚓ Linux Capable ☛ How_to_Install_FileZilla_Fedora_Linux⠀⇛

                   FileZilla is one of the most popular FTP clients,

                   and for a good reason. It’s easy to use, free, and

                   has cross-platform support. In the following

                   tutorial, you will learn how to install FileZilla

                   on Fedora Linux using the standard Fedora

                   repository, which often has the newest version, or

                   the alternative natively installed Flatpak manager

                   with Flathub using the command line terminal.

            # ⚓ It’s Ubuntu ☛ How_To_Install_VirtualBox_7_On_Ubuntu_22.04

              LTS_[2023]_|_Itsubuntu.com⠀⇛

                   VirtualBox is a popular system virtualization

                   software. It is powerful x86 and AMD64/Intel64

                   virtualization cross-platform virtual software that

                   is loaded with plenty of features. It is available

                   in both free and professional editions.

            # ⚓ Linux Capable ☛ How_to_Install_Geany_on_Fedora_Linux⠀⇛

                   Geany is a popular open-source text editor that can

                   also be used as an IDE for programming languages

                   such as Python. It is known for its simplicity and

                   speed, making it a good choice if you need a fast

                   and lightweight text editor. Geany also has enough

                   features to meet most needs, making it an excellent

                   all-purpose text editor worth checking out on your

                   Fedora desktop.

      o § Games⠀➾

            # ⚓ GNOME ☛ [GNOME]_Crosswords:_Puzzle_update_–_Jonathan

              Blandford⠀⇛

                   Happy New Year, Crossword-lovers!

                   This is a minor update in preparation for a bigger

                   release in the next few weeks. We’ve done a lot of

                   exciting work on Crosswords over the past few

                   months that’s almost ready for release. However,

                   there are a few things available already that I

                   wanted to highlight early.

* § Distributions and Operating Systems⠀➾

      o ⚓ Help Net Security ☛ Kali_Linux:_What’s_next_for_the_popular

        pentesting_distro?_–_Help_Net_Security⠀⇛

             If you’re interested in penetration testing and digital

             forensics, you know that Kali Linux is worth a try. And

             if you’re already doing it, chances are good you are

             already using it.

             We talked to Jim O’Gorman, Chief Content and Strategy

             Officer at Offensive Security (OffSec), about the

             direction in which the development of the open-source

             distro is headed.

      o ⚓ DebugPoint ☛ Top_10_Linux_Distributions_for_Windows_Users_in

        2023⠀⇛

             We compiled an inventory of the ten best Linux

             distributions for Windows users in 2023 based on how easy

             they are to adopt and successfully migrate from Windows.

             Although there are hundreds of Linux Distributions, very

             few of them can seriously replace Windows operating

             system. With the advancements and stability across Linux

             Kernel and desktop environments, 2023 is the perfect year

             to adopt Linux as a daily driver. This applies to

             students, school administrations, hobbyists, scientists,

             and related work profiles. In addition, the hardware

             makers also provide Linux support for their device line-

             ups.

             Linux, in general, still requires some workaround for

             specific workflows. However, Linux is still catching up

             on specific niche work profiles. The reason is some

             specific application vendors do not provide Linux

             executables. But there are plenty of alternatives

             available for everything in the Linux world.

             Moreover, for day-to-day work from an average user

             standpoint, the Linux operating system is now at a stage

             that can perform all the work you throw. With that in

             mind, we compiled the below 10 best Linux distributions

             in 2023 for Windows users. These should cover almost all

             possible use cases and work profiles (including Desktop

             or Laptop).

      o ⚓ Barry Kauler ☛ Limine_Installer_check_duplicate_UUID,_PARTUUID

        and_label⠀⇛

             I have now added a check in Limine Installer for non-

             unique UUID, PARTUUID (GUID), or filesystem label. If two

             partitions have one of those the same, and it is

             specified in the ‘limine.cfg’ file, at bootup Limine and/

             or EasyOS will get very confused.

             Now, these conflicts are detected. In the case of the

             conflict being a partition on an internal drive and on a

             USB-stick, the user is advised to avoid the conflict by

             unplugging the USB-stick before the next bootup.

      o § New Releases⠀➾

            # ⚓ 9to5Linux ☛ Nitrux_2.6_Is_Out_Powered_by_Linux_6.1,_Adds

              PipeWire_and_Wayland_by_Default⠀⇛

                   Uri Herrera announced today the release of Nitrux

                   2.6 as the latest stable update for this Debian-

                   based GNU/Linux distribution that does not use the

                   systemd init system and it’s built around the

                   latest KDE Plasma desktop environment.

                   Powered by the latest Linux 6.1 kernel and the

                   upcoming Mesa 23 graphics stacks, Nitrux 2.6 comes

                   with the PipeWire multimedia server enabled by

                   default for its NX Desktop graphical session built

                   on top of the KDE Plasma 5.26.4 desktop

                   environment, which is accompanied by the KDE

                   Frameworks 5.101 and KDE Gear 22.12 software

                   suites.

      o § Fedora Family / IBM⠀➾

            # ⚓ 9to5Linux ☛ It’s_Official:_Fedora_Linux_38_Will_Offer

              Fedora_Budgie_and_Sway_Spins⠀⇛

                   Ex-Solus project leader and Budgie desktop

                   maintainer Joshua Strobl announced today on social

                   media that an official Fedora Budgie Spin featuring

                   the latest Budgie desktop environment is coming as

                   part of the Fedora Linux 38 release in late April

                   2023.

                   Budgie desktop is an independently-developed

                   desktop environment for Linux and other Unix-like

                   operating systems, initially created by Ikey

                   Doherty for the Solus distribution. Budgie is now

                   actively maintained by a team of contributors led

                   by Joshua Strobl and it’s available for other

                   popular distros like Arch Linux, Ubuntu, Debian,

                   and Fedora Linux.

            # ⚓ ID Root ☛ Rocky_Linux_vs._AlmaLinux:_Which_One_to_Choose?_–

              idroot⠀⇛

                   AlmaLinux and Rocky Linux are two free and open-

                   source operating systems based on the Red Hat

                   Enterprise Linux (RHEL) distribution. Both are

                   designed to be community-driven, transparent, and

                   stable, but there are some key differences between

                   the two.

                   [...]

                   Rocky Linux is a free and open-source operating

                   system based on the Red Hat Enterprise Linux (RHEL)

                   distribution. It was created as an alternative to

                   RHEL and aims to be a community-driven,

                   transparent, and stable operating system.

            # ⚓ Weekly_status_of_Packit_Team:_Packit_January_2023⠀⇛

            # ⚓ Fedora Magazine ☛ Contribute_at_the_Fedora_Linux_Test_Week

              for_Kernel_6.1_–_Fedora_Magazine⠀⇛

                   The kernel team is working on final integration for

                   Linux kernel 6.1. This version was just recently

                   released, and will arrive soon in Fedora Linux. As

                   a result, the Fedora Linux kernel and QA teams have

                   organized a test week from Tuesday, Jan 03, 2023 to

                   Sunday, Jan 07, 2023. Refer to the wiki page for

                   links to the test images you’ll need to

                   participate. Continue reading for details.

                   [...]

                   A test week is an event where anyone can help make

                   sure changes in Fedora Linux work well in an

                   upcoming release. Fedora community members often

                   participate, and the public is welcome at these

                   events. If you’ve never contributed before, this is

                   a perfect way to get started.

            # ⚓ Enterprisers Project ☛ How_to_be_the_manager_your_IT_team

              needs_in_2023_|_The_Enterprisers_Project⠀⇛

                   For all our talk about the value of leadership, too

                   often, we focus on high-level, C-suite leaders.

                   This leaves a valuable category outside

                   consideration: the manager.

                   The role of a manager goes beyond managing the

                   workforce’s day-to-day tasks. Managers are pivotal

                   in driving the company culture, mission, and

                   values. By leading the workforce, they become

                   integral to driving the enterprise forward. They

                   are also one of the main reasons employees stay

                   with their company – we’ve all heard that “people

                   don’t leave bad jobs; they leave bad managers.”

                   Employees rely on and take cues from the attitudes

                   and behaviors of their immediate manager – more so

                   than those in the C-suite. Still, recent NTT DATA

                   research shows that investment in leadership

                   development is a relatively low priority for

                   business leaders. Managers must cultivate a culture

                   of support, transparency, growth, and collaboration

                   to see positive team results.

            # ⚓ Enterprisers Project ☛ 7_resources_to_advance_your

              automation_journey_in_2023_|_The_Enterprisers_Project⠀⇛

                   Automation is no longer a futuristic concept. It is

                   now embedded within a variety of industries and

                   throughout all areas of business. In addition to

                   automation trends, our contributing authors covered

                   stories of how it is being implemented in the real

                   world. Instead of viewing automation as a threat,

                   modern IT leaders are embracing its potential.

                   Whether it is used to enhance employee experience

                   in the workplace or improve medical technology to

                   save lives, we are all impacted by automation.

      o § Canonical/Ubuntu Family⠀➾

            # ⚓ It’s FOSS ☛ Ubuntu_23.04_Daily_Builds_Now_Include_the_New

              Installer_By_Default⠀⇛

                   At the end of the installation process, a new end

                   screen is shown with options to either restart

                   Ubuntu or shut down.

                   The overall install experience has been upgraded to

                   current standards, which makes it more appealing,

                   providing a modern user experience.

                   Unfortunately, you will have to wait a bit more for

                   Ubuntu 23.04′s release or at least its beta release

                   to get your hands on to properly test it out

                   without risking encountering bugs.

      o § Devices/Embedded⠀➾

            # ⚓ CNX Software ☛ MediaTek_Genio_700_Cortex-A78/A55_IoT

              processor_targets_industrial_and_Smart_Home_applications_–

              CNX_Software⠀⇛

                   MediaTek Genio 700 is an octa-core Arm processor

                   with two Cortex-A78 cores, six Cortex-A55 cores, a

                   Mali-G57 GPU, and a 4 TOPS AI accelerator designed

                   for consumer and industrial IoT applications.

                   The new processor is a cost-down version of the

                   Genio 1200 premium AIoT processor introduced last

                   year with four Cortex-A78 and four Cortex-A55

                   cores. The Genio 700 offers many of the same

                   features but with lower performance/capabilities,

                   including a 3-core GPU and an AI accelerator

                   limited to 4.0 TOPS, as well as support for dual

                   displays up to 4K + Full HD (instead of 2x 4K), and

                   32MP single cameras (instead of 48 MP).

            # ⚓ Help Net Security ☛ MediaTek_introduces_Genio_700_for

              industrial_and_smart_home_products_–_Help_Net_Security⠀⇛

                   MediaTek announced the latest chipset in the Genio

                   platform for IoT devices, the octa-core Genio 700

                   designed for smart home, smart retail, and

                   industrial IoT products.

                   With a focus on power efficiency, the MediaTek

                   Genio 700 is a N6 (6nm) IoT chipset that boasts two

                   ARM A78 cores running at 2.2GHz and six ARM A55

                   cores at 2.0GHz while providing 4.0 TOPs AI

                   accelerator. It comes with support for FHD60+4K60

                   display, as well as an ISP for better images.

                   “When we launched the Genio family of IoT products

                   last year, we designed the platform with the

                   scalability and development support that brands

                   need, paving the way for opportunities to continue

                   expanding,” said Richard Lu, Vice President of

                   MediaTek IoT Business Unit. “With a focus on

                   industrial and smart home products, the Genio 700

                   is a perfect natural addition to the lineup to

                   ensure we can provide the widest range of support

                   possible to our customers.”

      o § Open Hardware/Modding⠀➾

            # ⚓ The Register UK ☛ Sidecar:_How_to_get_a_Psion_online_in

              2023_•_The_Register⠀⇛

                   Code whizz and tinkerer Kian Ryan’s ingenious

                   “Sidecar” is a self-contained, battery-powered Wi-

                   Fi-to-RS232 bridge that enables his elderly Psion

                   5MX PDA to access a little bit of the modern

                   internet.

                   The Sidecar is an inspired homemade device which

                   combines an assortment of bits of hardware and

                   software, a 3D-printed case, plus considerable

                   ingenuity, to create a pocket-sized gadget that

                   turns a vintage mobile computer into a mobile Linux

                   terminal – and which can also permit elderly

                   gadgets access the internet.

                   You can trace the development of the Sidecar over

                   six months on Ryan’s blog. Back in June, he

                   described a fairly complicated setup. This used a

                   MAX3232-based [PDF] RS232-to-TTL level converter,

                   plus a gender-converter and a null-modem adapter to

                   hook a Psion serial cable to a Raspberry Pi Zero.

                   (He didn’t mention it, but we think it must a Pi

                   Zero W to provide an upstream network connection.)

      o § Mobile Systems/Mobile Applications⠀➾

            # ⚓ Russell Coker ☛ Russell_Coker:_Samsung_Galaxy_Note_10.1

              2014⠀⇛

                   In May 2014 I bought a Samsung Galaxy Note 10.1

                   2014 edition tablet (wikipedia page [1]) with 32G

                   of RAM. It’s display is 2560×1600 resolution which

                   still compares well to the latest tablets. The

                   Galaxy Tab S8 [2] is the latest high-end tablet

                   series from Samsung and the 11 inch tablet in that

                   series also has a 2560×1600 giving it a slightly

                   lower DPI! The latest series also has 12.4″ and

                   14.6″ tablets with resolutions of 2800×1752 and

                   2960×1848 respectively. Obviously if you want a 14″

                   tablet then the latest offerings are good, but if

                   you want a 10″ or 11″ tablet then Samsung hasn’t

                   improved much. The Note 10.1 has 3G of RAM and a

                   choice of 16G, 32G, or 64G of storage. The latest

                   Tab S8 tablets have 8G to 16G of RAM and 128G to

                   512G of internal storage, which are great if you

                   need such things. For many tasks 3G of RAM is quite

                   adequate and as I chose the 32G model I haven’t had

                   a problem with storage. The s-pen is a feature of

                   this tablet which is also on the latest high-end

                   Samsung tablets, it is useful for accessing small

                   elements in web sites designed for desktop use and

                   for graphics editing.

            # ⚓ GSM Arena ☛ Samsung_Galaxy_A03_and_Galaxy_F12_are_the

              latest_to_receive_Android_13_update_–_GSMArena.com_news⠀⇛

            # ⚓ The Sun ☛ People_are_just_noticing_game-changing_Android

              trick_that_could_save_you_hundreds_|_The_US_Sun⠀⇛

            # ⚓ Colorful_Stage_for_Android_app_crashing_after_completing_a

              song⠀⇛

            # ⚓ Gizmo China ☛ HarmonyOS_is_neither_Android_nor_iOS:_Father

              of_HarmonyOS⠀⇛

* § Free, Libre, and Open Source Software⠀➾

      o ⚓ OpenSource.com ☛ Document_with_BookStack,_an_open_source

        Confluence_alternative⠀⇛

             BookStack is an open source, web-based documentation

             system, that allows you to create a structured knowledge

             store for personal, team, or company use. BookStack

             focuses on ease-of-use and design to provide an

             experience suitable for an audience with, potentially,

             mixed skills in technology. It’s built upon the PHP

             framework Laravel, with MySQL or MariaDB used as a

             datastore.

             I built BookStack after attempting to find a

             documentation or wiki system for my workplace. Confluence

             was the closest option to suit my requirements but the

             user-based pricing introduced a barrier. The closed

             nature of Confluence also raised questions to the

             longevity of the documentation I’d be building. In the

             end, I decided to build my own platform to suit my needs.

             I released it under the MIT license to give back to the

             open source community that I’d come to love and benefit

             from over the years.

      o ⚓ OpenSource.com ☛ Create_a_highly_available_distributed_database

        with_Apache_ShardingSphere_|_Opensource.com⠀⇛

             Modern business systems must be highly available,

             reliable, and stable in the digital age. As the

             cornerstone of the current business system, databases are

             supposed to embrace high availability.

             High availability (HA) allows databases to switch

             services between primary and secondary database nodes. HA

             automatically selects a primary, picking the best node

             when the previous one crashes.

      o ⚓ Joe Brockmeier ☛ Two_observations_about_Mastodon_in_early_2023_:

        Dissociated_Press⠀⇛

             Tonight, not for the first time, I learned about a

             “breaking news” item from Mastodon. That’s been happening

             more often over the past few weeks, whereas this time

             last year I’d have gotten this kind of thing via Twitter

             first.

             This seems significant to me because Mastodon is making

             the leap from “a small group of people talking about the

             service itself a lot” to “several of my friends are here

             and there’s some community” to “a news source” rather

             quickly. It took Twitter a long time to cross that chasm.

             And it’s one of the things that made Twitter valuable, if

             also a primary source of doom scrolling.

             This doesn’t mean Mastodon is a drop-in replacement for

             Twitter. But. Mastodon, and the larger “Fediverse,” seem

             to be gaining critical mass beyond just numbers but also

             in the way it’s used.

             The other observation is providers like Linode and

             Digital Ocean offering quickstarts for Mastodon hosting.

             That’s good, it’s a step in the right direction, but it’s

             not the kind of “batteries included” offering that’s

             going to really cause self-hosted Mastodon to take off.

             Deploying a service is not the hard part. Maintaining the

             service, the “day two” operations, is what you have to

             worry about.

      o ⚓ SUSE’s Corporate Blog ☛ The_Significance_of_Open_Source_Software

        in_the_Digital-First_Future_Enterprise_|_SUSE_Communities⠀⇛

             As companies shift their focus from the digital

             transformation of individual processes to the business

             outcomes enabled by a digitally transformed organization,

             software engineering will become a core enterprise

             capability. To become a software-powered organization,

             companies must first identify and address the concerns of

             its developers in areas such as developer experience,

             developer velocity and software security.

      o § Productivity Software/LibreOffice/Calligra⠀➾

            # ⚓ What_is_Miklos_hacking_–_Improved_number_portion_formatting

              in_Writer⠀⇛

                   Number portions generated when using lists/

                   numberings/bullets in Writer now can have

                   formatting which is preserved in ODT files as well.

                   First, thanks Docmosis for funding this work by

                   Collabora.

      o § Content Management Systems (CMS)⠀➾

            # ⚓ Kiwi_TCMS_–_Kiwi_TCMS_11.7⠀⇛

                   We’re happy to announce Kiwi TCMS version 11.7 and

                   Happy New Year!

      o § Programming/Development⠀➾

            # ⚓ Linux Hint ☛ Inet_Pton()_Function_in_C_Language⠀⇛

                   The socket functions use structures in their input

                   arguments that contain client and server specific

                   data. The most important information in these

                   structures is undoubtedly the IP addresses.

                   There are several types of structures which are

                   used by socket functions to store these addresses.

                   For example: sockaddr, addrinfo or in_addr, etc.

                   Regardless of the type of structure in which they

                   are stored, IP addresses are not encoded, which

                   means that each of the numbers in their fields is

                   represented by its binary equivalent. This means

                   that in certain cases, it is necessary to convert

                   the IP addresses to strings or strings to IP

                   addresses in order to work with them.

            # § Shell/Bash/Zsh/Ksh⠀➾

                  # ⚓ Linux Hint ☛ Bash_Set_Command⠀⇛

                         Bash has many environment variables for

                         various purposes. The set command of Bash is

                         used to modify or display the different

                         attributes and parameters of the shell

                         environment. This command has many options to

                         perform the different types of tasks. The

                         uses of set command for various purposes are

                         described in this tutorial.

* § Leftovers⠀➾

      o § Science⠀➾

            # ⚓ [Older] 1500_experts_dislike_blockchain,_and_so_should_you

              |_Stop_at_Zona-M⠀⇛

                   About 1500 computer scientists, software engineers,

                   and other technologists just signed a Letter in

                   Support of Responsible Fintech Policy. The

                   paragraphs that follows are the snippets of that

                   letter that, with as little editing from me as

                   possible, summarize why you should ask your

                   representatives to do the same.

      o § Proprietary⠀➾

            # ⚓ Neowin ☛ Microsoft_Edge_gained_less_than_2%_market_share_in

              2022 [Ed: Despite all the spamming, bribed bloggers, forced

              pre-installs, blocking of browser selectors]⠀⇛

            # ⚓ Neowin ☛ Windows_11_is_still_not_really_faster_than_Windows

              10_despite_what_Microsoft_suggested [Ed: Microsoft cannot

              help lying]⠀⇛

      o § Security⠀➾

            # § Privacy/Surveillance⠀➾

                  # ⚓ [Old]_Did_Facebook_shadow_profile_you?_|_Stop_at

                    Zona-M⠀⇛

                         “Shadow profile” is the common name for

                         information about you that Facebook collected

                         and stores without your explicit knowledge or

                         consent. Even if you’ve never used Facebook

                         yourself.

* § Gemini* and Gopher⠀➾

      o § Technical⠀➾

            # § Programming⠀➾

                  # ⚓ Some_notes_on_working_with_old_C_code⠀⇛

                         The post is briefly about testing the old

                         game Star Trek that was popular in the 70s,

                         and in this case, it’s been ported to C

                         probably sometime in the 80s. The game is

                         interactive so writing any form of tests

                         (much less “unit tests”) will be challenging,

                         to say the least. (the post does go on to say

                         that possibly using `expect [2]` would

                         probably be in order).

                         I have a bit of experience here with older C

                         code. At one point, I got interested in Viola

                         [3], an early graphical web browser from

                         1992, and is the type of C code that gives C

                         a bad name. It was written in a transition

                         period between K&R (Brian Kernighan and

                         Dennis Ritchie) C and ANSI (American National

                         Standards Institute) C, so it had to cater to

                         both, so function prototypes were spotty at

                         best. It also made several horrible

                         assumptions about primitive data types—mainly

                         that pointers, integers and long integers

                         were all interchangable, and plenty of cases

                         where signed quantities were compared to

                         unsigned quantities.

=> =============================================================================

Gemini_(Primer) links can be opened using Gemini_software. It’s like the

World Wide Web but a lot lighter.

                ䷩ 𝚕𝚒𝚗𝚎 4946

Gemini_version_available_♊︎

✐ Links_03/01/2023:_DragonFly_BSD_6.4,_KDE_Plasma_5.26.5,_and_EasyOS_4.5.4⠀✐

Posted in News_Roundup at 7:59 pm by Dr. Roy Schestowitz

🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈

§ Contents⠀➾

* GNU/Linux

      o Audiocasts/Shows

      o Graphics_Stack

      o Applications

      o Instructionals/Technical

      o Desktop_Environments/WMs

            # K_Desktop_Environment/KDE_SC/Qt

            # GNOME_Desktop/GTK

* Distributions_and_Operating_Systems

      o New_Releases

      o Screenshots/Screencasts

      o BSD

      o Debian_Family

      o Mobile_Systems/Mobile_Applications

* Free,_Libre,_and_Open_Source_Software

      o Events

      o Programming/Development

            # Python

* Leftovers

      o Hardware

      o Proprietary

      o Pseudo-Open_Source

            # Openwashing

      o Security

      o Monopolies

            # Copyrights

* Gemini*_and_Gopher

      o Personal

      o Technical

            # Internet/Gemini

            # Programming

* § GNU/Linux⠀➾

      o § Audiocasts/Shows⠀➾

            # ⚓ Video ☛ 10_Python_Tips_and_Tricks_You_Need_To_Know_–

              Invidious⠀⇛

            # ⚓ Video ☛ Ranking_Linux_Desktop_Environments_for_2023_–

              Invidious⠀⇛

            # ⚓ Video ☛ Linux_Mint_21.1_“Vera”_MATE_overview_|_Stable,

              robust,_traditional_–_Invidious⠀⇛

                   In this video, I am going to show an overview of

                   Linux Mint 21.1 “Vera” MATE and some of the

                   applications pre-installed.

            # ⚓ Video ☛ How_to_Use_The_ls_Command_on_the_Linux_Command_Line

              –_Invidious⠀⇛

                   With the Linux Crash Course series on LearnLinuxTV,

                   you’ll learn everything you need to know in order

                   to master the art of Linux. In each video, a single

                   topic is covered in-depth. This time around, we

                   take a look at the ls command – a command that many

                   of you have probably already used, but there’s

                   always more to learn!

            # ⚓ Video ☛ We_hit_100,000_subscribers!_Now’s_your_chance_to

              win_a_Steam_Deck!_–_Invidious [Ed: Gardiner Bryant became

              Valve shill last year, no longer covering what he used to]⠀⇛

            # ⚓ Video ☛ This_Pipewire_Video_Bug_Ruined_My_Entire_Weekend!_–

              Invidious⠀⇛

                   Pipewire and Wireplumber are great pieces of

                   software but when a problem happens at the audio

                   server level it can become a serious problem

                   especially when that issues comes out of nowhere

                   like this did

      o § Graphics Stack⠀➾

            # ⚓ How_Cursor_is_Rendered⠀⇛

                   The new cursor design is more powerful and should

                   make it easier to add new fancy features. For

                   example, it would be amazing if you could wire the

                   velocity of the cursor to its scale so you could

                   shake the pointer in order to find the cursor more

                   easily. The new design also fixes longstanding

                   limitations that prevented kwin from displaying

                   cursors rendered by OpenGL or Vulkan.

      o § Applications⠀➾

            # ⚓ Make Use Of ☛ How_to_Show_Your_Battery_Percentage_as_a

              Wallpaper_on_Linux⠀⇛

                   Having a wallpaper that automatically updates

                   depending on your current battery status is a must

                   for everyone who uses Linux as their daily driver.

                   Running out of power can ruin your day—especially

                   if you’re using your Linux laptop for critical

                   projects or are in the middle of a long-distance

                   video call to friends and relations on the other

                   side of the world.

                   It’s difficult to keep an eye on your battery life

                   when you’re busy, but with battery-wallpaper, you

                   can keep an eye on your charge level just by

                   glancing at your wallpaper.

            # ⚓ Make Use Of ☛ haxor-news_Lets_You_Browse_and_Search_Hacker

              News_From_Your_Linux_Terminal⠀⇛

                   haxor-news Lets You Browse and Search Hacker News

                   From Your Linux Terminal

                   Hacker News is an essential source of news and

                   interesting articles for hackers, coders, and

                   anyone with an interest in technology and tech

                   culture.

                   While you would normally read HN through a web

                   interface, a dedicated app, or an email digest, you

                   can read, search, and filter the latest articles

                   through your terminal. Here’s how.

            # ⚓ ByteXD ☛ 10_IP_Scanners_for_Detecting_and_Analyzing_Network

              Devices⠀⇛

                   IP/Network scanning is a security process that

                   helps identify network vulnerabilities and

                   loopholes that can harm your system.

                   IP scanning safeguards our network from attacks and

                   unusual behaviors. Vulnerable networks lead to data

                   leakage, and users may lose confidential

                   information to exploiters.

                   To ensure security, IP scanners can help. IP

                   scanners have multiple purposes. Many popular IP

                   scanners work very well.

                   This article enlists the most popular IP scanners

                   with descriptions regarding their features. It is

                   essential to note that the listing hasn’t been done

                   based on preference, and you should pick one with

                   the features you want.

            # ⚓ BusyBox_1.36.0_released⠀⇛

      o § Instructionals/Technical⠀➾

            # ⚓ Make Tech Easier ☛ Kdenlive_Keyboard_Shortcuts_–_Make_Tech

              Easier⠀⇛

                   One of the most significant selling points of

                   Kdenlive is that it uses open audio and video codec

                   standards through FFmpeg. This means that, similar

                   to MPV, it is possible to use the program with

                   almost any media format you might need. Further,

                   Kdenlive also provides you with a set of powerful

                   features through its extensive plugin system.

                   By default, Kdenlive has several keybindings that

                   you can use to do basic file manipulation, timeline

                   editing and playback control. This cheatsheet aims

                   to provide you with the basic set of keybindings

                   for Kdenlive. Not only that, but it also aims to

                   highlight some of Kdenlive’s little-known features.

            # ⚓ Ubuntu Handbook ☛ [Quick_Tip]_How_to_Disable_Event_Sound_in

              Ubuntu_22.04_|_22.10_|_UbuntuHandbook⠀⇛

                   Ubuntu by default play a short alert sound when you

                   plug in/out USB drive, power supply, or hit tab

                   function key in terminal.

                   This is useful for indicating certain type of

                   system messages and events, but it’s easy to mute

                   these type of sounds in case you don’t like them.

                   And, here’s the quick tutorial show you how.

            # ⚓ TecAdmin ☛ Advanced_“Apt_Package_Manager”_Techniques_for

              Linux_Pros⠀⇛

                   The apt command is one of the most powerful and

                   versatile tools in the Linux operating system. It

                   provides users with a powerful, yet easy-to-use,

                   package management system that can be used to

                   easily manage and install the software. With the

                   apt command, users can quickly and easily search

                   for, install, upgrade, and uninstall software

                   applications from their systems.

                   This guide provides a detailed overview of the apt

                   command and explains how to use it to manage

                   software on a Linux system. It explains the

                   different commands and options available and

                   outlines how to use them to manage software,

                   resolve software dependencies, and keep your system

                   running smoothly and efficiently.

            # ⚓ Fixing_an_unresponsive_gnome-software_on_Fedora⠀⇛

                   A short note on fixing an unresponsive GNOME

                   Softwate application.

            # ⚓ Network World ☛ Using_the_Linux_locale_command_|_Network

              World⠀⇛

                   The locale settings in Linux systems help ensure

                   that information like dates and times are displayed

                   in a format that makes sense in the context of

                   where you live and what language you speak. Here’s

                   how to use them.

                   NOTE: None of the commands described in this post

                   will change your locale settings. Some merely use a

                   different locale setting to display the response

                   you might be seeing from a different location.

            # ⚓ Video ☛ How_to_install_Inkscape_on_KDE_Neon_–_Invidious⠀⇛

                   In this video, we are looking at how to install

                   Inkscape on KDE Neon. Enjoy!

            # ⚓ ByteXD ☛ How_to_Use_SCP_To_Transfer_Files_with_SSH_Keys_

              (PEM_File)_–_ByteXD⠀⇛

                   Every Linux administrator is well versed with

                   various command-line utilities used to access and

                   manage remote servers. Two of the most popular

                   utilities are SSH and SCP. SSH or Secure Shell is a

                   cryptographic protocol that enables you to remotely

                   access a remote device securely over a network.

                   SCP on the other hand works similar to the normal

                   CP command you use to copy files on your system.

                   The major difference is that SCP is used to

                   securely copy files between a local and a remote

                   system or across two remote systems.

                   When you look at the two utilities (SSH and SCP)

                   you will notice one major similarity – security.

                   Both are trying to create a secure channel of

                   communicating with other systems. What if you could

                   combine the two? Well, that would definitely

                   guarantee a maximum level of security.

            # ⚓ ByteXD ☛ Why_is_Rsync_Skipping_Directories_–_ByteXD⠀⇛

                   The Rsync command is a popular utility for

                   synchronizing files and directories between two

                   remote systems.

                   Unlike other utilities, Rsync is highly recommended

                   for transferring large amounts of data over a

                   network. That’s because it can efficiently transfer

                   only the portions of files that have changed rather

                   than transferring the entire file each time.

            # ⚓ Linux Made Simple ☛ How_to_install_Gedit_on_a_Chromebook⠀⇛

                   Today we are looking at how to install Gedit on a

                   Chromebook.

                   If you have any questions, please contact us via a

                   Rumble comment and we would be happy to assist you!

                   Please use the video as a visual guide, and the

                   commands and links below to install it on your

                   Chromebook.

            # ⚓ Linux Made Simple ☛ How_to_install_Mine-Imator_2.0_Pre-

              Release_on_a_Chromebook⠀⇛

                   Today we are looking at how to install Mine-Imator

                   2.0 Pre-Release on a Chromebook. Please follow the

                   video/audio guide as a tutorial where we explain

                   the process step by step and use the commands

                   below.

      o § Desktop Environments/WMs⠀➾

            # § K Desktop Environment/KDE SC/Qt⠀➾

                  # ⚓ KDE ☛ KDE_Plasma_5.26.5,_Bugfix_Release_for_January⠀⇛

                         Today KDE releases a bugfix update to KDE

                         Plasma 5, versioned 5.26.5.

                         Plasma 5.26 was released in October 2022 with

                         many feature refinements and new modules to

                         complete the desktop experience.

                         This release adds a month’s worth of new

                         translations and fixes from KDE’s

                         contributors. The bugfixes are typically

                         small but important and include…

                  # ⚓ 9to5Linux ☛ KDE_Plasma_5.26.5_Released_with_More

                    Plasma_Wayland_Session_Fixes⠀⇛

                         KDE Plasma 5.26.5 is here five weeks after

                         the KDE Plasma 5.26.4 update to fix more

                         Plasma Wayland session bugs, including a KWin

                         crash when connecting a laptop to a docking

                         station, an issue that prevented external

                         monitors from working when using various ARM-

                         powered devices, as well as the ability to

                         select text in GTK apps when disabling

                         middle-click paste.

                         With this update, KDE Plasma now no longer

                         displays critical notifications in the

                         Overview, Present Windows, and Desktop Grid

                         effects. Also, it improves scrolling on the

                         language list sheet on the Region and

                         Language page in System Settings.

            # § GNOME Desktop/GTK⠀➾

                  # ⚓ DebugPoint ☛ Stunning_Graphite_Theme_for_GNOME,_GTK4

                    and_libadwaita⠀⇛

                         If you are looking for a unique theme that

                         concentrates on grey or dark grey, try the

                         Graphite theme for the GNOME desktop.

                         The Graphite theme’ brings several variants’

                         main attraction is the thick border with the

                         combination of variants of grey, black, Nord

                         and other items. You can also tweak the

                         thickness using several options.

                         Here’s how to install it.

                  # ⚓ OMG Ubuntu ☛ One_Thing_–_Put_a_Single_Task/Goal_in

                    the_GNOME_Panel_–_OMG!_Ubuntu!⠀⇛

                         Next time you need to remember something

                         important, don’t reach for a sticky note and

                         pen. Instead, reach for the One Thing GNOME

                         extension.

                         This Linux version of the One Thing app for

                         macOS works in the same way: you enter some

                         text (and yup, emoji is supported too), and

                         whatever you enter appears in the Top Bar

                         (the panel that runs along the top of the

                         screen in a standard GNOME Shell; if you use

                         Dash to Panel, it’ll appear in that).

                         As concepts go it’s not the most imaginative

                         (so no cries of who copied who), but it

                         doesn’t need to be. Sometimes, all it takes

                         for us to actually get on and do something is

                         to be reminded to do it. This does that,

                         simply.

                         There are no settings; you can’t customise

                         the font, change text colour, make it blink,

                         flash, or animate in some eye-catching way.

                         You also can’t choose where on the panel the

                         text sits (though this would be handy feature

                         to have). Your “one thing” just stares out at

                         you from the GNOME panel, from beside the

                         Status Menu.

                  # ⚓ OMG! Linux ☛ Customize_GNOME_Touchpad_Gestures_with

                    this_Extension_–_OMG!_Linux⠀⇛

                         For greater control over multitouch gestures

                         in GNOME Shell, check out the Gesture

                         Improvements extension.

                         This simple power-up lets you customize

                         (almost) every swipe, pinch and scroll

                         gesture in any Linux distribution using GNOME

                         40 or later.

                         The extension is designed to work with

                         Wayland and X11, though the latter requires

                         an additional daemon to be installed, but

                         that is not covered here.

* § Distributions and Operating Systems⠀➾

      o § New Releases⠀➾

            # ⚓ Linux Magazine ☛ Vanilla_OS_Initial_Release_Is_Now

              Available_–_Linux_Magazine⠀⇛

                   A stock GNOME experience with on-demand

                   immutability finally sees its first production

                   release.

                   A brand new Linux distribution is now available

                   with a unique feature you won’t find in many

                   operating systems. This distribution is called

                   Vanilla OS and offers a stock GNOME experience

                   (using GNOME 43) and is based on Ubuntu 22.10.

                   The key features of Vanilla OS include its own

                   installer (written in GTK4 and libadwaita), a handy

                   first setup application to guide users through the

                   first steps, an OS Control Center to help you run

                   things like critical updates and installing

                   drivers, and on-demand immutability.

            # ⚓ The Register UK ☛ Vanilla_OS_22.10:_An_Arch_and_Fedora-

              compatible_Ubuntu⠀⇛

                   The first release of Vanilla OS is based on Ubuntu

                   22.10, but a slightly different desktop conceals

                   much more dramatic changes under the hood.

                   22.10 Kinetic is the first stable release from the

                   Vanilla OS project, and as its version number

                   suggests, its parent distro is Ubuntu 22.10

                   “Kinetic Kudu”, which appeared in October. However,

                   Vanilla OS is very much not just another Ubuntu

                   remix. While it is based on Ubuntu and has a degree

                   of compatibility with it, Vanilla OS is an

                   ambitious distro. It changes the way the operating

                   system is built, maintained and used in profound

                   ways.

                   Although the underlying Linux is Ubuntu, it doesn’t

                   look much like Ubuntu or feel like it either. Down

                   at the bottom, the project’s website modestly says:

            # ⚓ Barry Kauler ☛ EasyOS_Dunfell-series_version_4.5.4

              released⠀⇛

                   This is another bug-fix release since version 4.5.

                   For more details, please read the announcement for

                   4.5…

      o § Screenshots/Screencasts⠀➾

            # ⚓ Video ☛ CachyOS_–_Better_Than_Manjaro_|_Amazing_Arch_Distro

              –_Invidious⠀⇛

                   A quick video covering the newest release of

                   CachyOS. It is a user friendly Arch distro that

                   makes it easy to install and use. With the most up-

                   to-date packages and kernel you won’t experience

                   the pitfalls that one might on Manjaro. Take a look

                   and let me know what you think in the comments

                   below.

      o § BSD⠀➾

            # ⚓ DragonFly_BSD_6.4⠀⇛

                   DragonFly version 6.4 is the next step in the 6.x

                   release series. This version has hardware support

                   for type-2 hypervisors with NVMM, an amdgpu driver,

                   the experimental ability to remote-mount HAMMER2

                   volumes, and many other changes.

                   The details of all commits between the 6.2 and 6.4

                   releases are available in the associated commit

                   messages for 6.4.0.

      o § Debian Family⠀➾

            # ⚓ LinuxStans ☛ Debian_vs_Ubuntu:_A_Detailed_Comparison_–

              Linux_Stans⠀⇛

                   Debian and Ubuntu are two of the most popular Linux

                   distros. They both have similarities and

                   differences that we’ll compare in this article.

                   They are used for different purposes, for different

                   use cases, and by different users. We’ll explore

                   everything and help you learn everything you need

                   to know about Debian vs Ubuntu.

                   [...]

                   Arguably the most important difference for every

                   desktop Linux distro is the desktop environment

                   (DE) itself. It’s what everyone first sees when

                   they start using a distro. Both distros support all

                   Linux desktop environments, and you can install any

                   DE on any distro you want. Related to the desktop

                   environment is also the Window Manager, which is

                   what makes the GUIs of the distros different.

                   Both Debian and Ubuntu use the GNOME desktop

                   environment by default. However, Debian makes it

                   super easy to use another DE. You just have to

                   select what DE you want to use during the Debian

                   installation. Ubuntu uses GNOME and that’s the only

                   option, you can’t choose a DE during the

                   installation. Even when both Ubuntu and Debian use

                   GNOME, the DEs are customized, along with their

                   themes, colors, and pre-installed apps, which is

                   what makes them look different.

      o § Mobile Systems/Mobile Applications⠀➾

            # ⚓ Bennett, Coleman &amp; Company Ltd ☛ Google_alleges_India’s

              Competition_Commission_copied_parts_of_EU_order_on_Android

              abuse⠀⇛

            # ⚓ Reuters ☛ Google_alleges_India_antitrust_body_copied_parts

              of_EU_order_on_Android_abuse_|_Reuters⠀⇛

            # ⚓ 10_Fixes_for_Android_Auto_Not_Playing_Music_From_Spotify_or

              YouTube_Music_–_Guiding_Tech⠀⇛

            # ⚓ Android Headlines ☛ Top_10_best_Android_tablets⠀⇛

            # ⚓ The_Best_Android_Action_Games_2023_–_Droid_Gamers⠀⇛

            # ⚓ 9to5Google ☛ Android_13_January_security_patch_rolling_out,

              download_Pixel_OTA⠀⇛

            # ⚓ GSM Arena ☛ Poco_C50_announced_in_India_with_5,000mAh

              battery,_Android_12_Go_Edition_–_comments⠀⇛

            # ⚓ 9to5Google ☛ GeForce_Now_coming_to_Android_Automotive-

              powered_vehicles⠀⇛

            # ⚓ Android Central ☛ Blackview_BV7100_review:_A_cheap_rugged

              phone_for_your_unpredictable_lifestyle_|_Android_Central⠀⇛

            # ⚓ Digital Trends ☛ CES_2023:_Qi2_is_bringing_MagSafe_to

              Android_later_this_year_|_Digital_Trends⠀⇛

* § Free, Libre, and Open Source Software⠀➾

      o § Events⠀➾

            # ⚓ FOSDEM_2023_–_Hotels,_Information,_And_Facts_|_Bogomil

              Shopov⠀⇛

                   Here is some helpful info if you are going to

                   FOSDEM 2023 this year.

            # ⚓ PostgreSQL ☛ PostgreSQL:_PGDay_Chicago:_Call_For_Papers!⠀⇛

                   PgDay Chicago 2023 will be held on April 20 in

                   Chicago, IL. The conference focuses on topics for

                   PostgreSQL users. For more information about the

                   event, please see the website at https://

                   2023.pgdaychicago.org/

                   We are now accepting proposals for talks.

      o § Programming/Development⠀➾

            # ⚓ Paul_Wise:_FLOSS_Activities_December_2022⠀⇛

                   This month I didn’t have any particular focus. I

                   just worked on issues in my info bubble.

            # ⚓ GStreamer_compilation_with_third_party_libraries_–

              Herostratus’_legacy⠀⇛

                   Suppose that you have to hack a GStreamer element

                   which requires a library that is not (yet) packaged

                   by your distribution, nor wrapped as a Meson’s

                   subproject. How do you do?

            # § Python⠀➾

                  # ⚓ Enrico_Zini:_Things_I_learnt_in_December_2022⠀⇛

                         Python’s multiprocessing is prone to

                         deadlocks in a number of conditions. In my

                         case, the running program was a standard

                         single-process, non-threaded script, but it

                         used complex native libraries which might

                         have been the triggers for the deadlocks.

                  # ⚓ ByteXD ☛ Python:_How_to_Use_the_If-Else_Statement_in

                    One_Line_–_ByteXD⠀⇛

                         Conditional statements in python are commands

                         for controlling actions and decisions. These

                         conditional constructs take action based on a

                         condition. The given condition evaluates to

                         true or false (if condition is true then take

                         action).

                         In many cases, the executed action that is

                         taken by a true condition is merely returning

                         a value (assigning a new value to a target

                         variable). Therefore, due to the simplicity

                         of these types of if statements, many

                         languages, including Python support inline

                         if-else expressions.

                         In this article, you will learn how to use

                         inline conditional expressions in Python.

                         The method of using if and else in the same

                         line is usually referred to it as conditional

                         expressions or ternary operations. The most

                         common ternary conditional operator is ?: for

                         many languages.

                         For example, the subsequent ternary

                         expression: (a ? b : c), which returns b if a

                         is true, or to c if the a condition is false.

                         However, there is a different syntax for

                         Python. Its ternary expression looks like the

                         following: (a if condition else b), just as

                         before, the expression returns a if condition

                         is true, otherwise to b if condition is

                         false.

                         In the later sections, we will explain how to

                         use inline if-else expressions with examples.

* § Leftovers⠀➾

      o § Hardware⠀➾

            # ⚓ CubicleNate ☛ HP_EliteBook_RAM_Failure_–_CubicleNate’s

              Techpad⠀⇛

                   In all my time using computers, I haven’t had a

                   memory failure since the late 80s on Commodore 64

                   which was likely caused by a static discharge.

                   Every computer since, laptop or desktop, traveling

                   around the world, have not seen any sort of memory

                   issue. I’ve gong through hard drives, replaced

                   screens, keyboards and touch pads but never memory.

                   I basically assumed such things were a thing of the

                   past. I have and keep many systems running, with

                   the average age of actively used systems at 12

                   years old all with properly working memory. Yet it

                   is my newest laptop has been afflicted with RAM

                   failure.

            # ⚓ Jonathan Dowland ☛ jmtd_→_log_→_Tex_Shinobi_first

              impressions⠀⇛

                   A small Taiwanese company, Tex, produce a series of

                   mechanical keyboards very openly inspired by the

                   IBM/Lenovo trackpoint models that I’ve been using

                   for so long, complete with trackpoints. I’d been

                   eyeing up their Tex Yoda II keyboard for some time,

                   which looks great, very minimalistic, but in

                   practise I do use the keys it omits, and it’s

                   pricey.

                   I decided to take the plunge and buy a more key-ful

                   and reasonably priced Tex Shinobi ISO/UK layout,

                   and I opted for Cherry MX Silent Red switches.

                   Silent to give me the option of using in the

                   Newcastle office, but also to reduce the risk of

                   waking up the kids at home.

                   The Silent Reds are a bit “squishier” than raw Reds

                   which is a shame, but not enough of an obstacle to

                   typing rapidly. The keyboard shape and layout is a

                   close clone of the old IBM Ultranav keyboards I

                   used to use so I was at home on it straight away.

                   The real unknown quantity to me was how well the

                   trackpoint works. I’d read mixed responses, but

                   it’s not clear that the people reviewing it were

                   very familiar with the Lenovo ones. I am pleased to

                   report that it’s indistinguishable to the Lenovo

                   one to me (and I used that a lot).

                   The keyboard came in a funky replica Thinkpad box

                   and with some keycap and trackpoint pointer

                   options. I opted for a yellow “hat” shaped

                   trackpoint cover (to appease my yellow-obsessed

                   youngest daughter) and the blue IBM-style Enter

                   keycap.

      o § Proprietary⠀➾

            # ⚓ WinBuzzer ☛ Windows_11_22H2_Patch_Tuesday_Is_Causing_Freeze

              Issues_on_AMD_Ryzen_PCs⠀⇛

                   Microsoft has yet to confirm a growing issue where

                   Windows 11 20H2 is freezing AMD systems following

                   Patch Tuesday.

      o § Pseudo-Open Source⠀➾

            # § Openwashing⠀➾

                  # ⚓ Arduino ☛ This_project_facilitates_augmented_reality

                    Minecraft_gaming [Ed: Arduino ought to refrain from

                    covering proprietary Microsoft traps]⠀⇛

                         Augmented reality (AR) is distinct from

                         virtual reality (VR) in that it brings the

                         real world into virtual gameplay.

                  # ⚓ FOSSLife ☛ AWS_Announces_Finch,_an_Open_Source

                    Container-Building_Tool [Ed: Openwashing stunt. AWS is

                    proprietary is GitHub is proprietary. “FOSSlife Team”

                    is misnomer. Microsoft boosters, proprietary software

                    apologists. FOSSlife Team FOSSLife ☛ covers_things_with

                    no_connection_to_FOSS.]⠀⇛

                         According to the announcement, Finch

                         “provides for simple installation of a native

                         macOS client, along with a curated set of de

                         facto standard open source components

                         including Lima, nerdctl, containerd, and

                         BuildKit. With Finch, you can create and run

                         containers locally, and build and publish

                         Open Container Initiative (OCI) container

                         images.”

      o § Security⠀➾

            # ⚓ LWN ☛ Security_updates_for_Tuesday_[LWN.net]⠀⇛

                   Security updates have been issued by Oracle (bcel),

                   SUSE (ca-certificates-mozilla, glibc, minetest,

                   multimon-ng, nautilus, ovmf, python-Django, samba,

                   saphanabootstrap-formula, and xrdp), and Ubuntu

                   (usbredir).

            # ⚓ Bruce Schneier ☛ Breaking_RSA_with_a_Quantum_Computer_–

              Schneier_on_Security⠀⇛

                   A group of Chinese researchers have just published

                   a paper claiming that they can—although they have

                   not yet done so—break 2048-bit RSA. This is

                   something to take seriously. It might not be

                   correct, but it’s not obviously wrong.

                   We have long known from Shor’s algorithm that

                   factoring with a quantum computer is easy. But it

                   takes a big quantum computer, on the orders of

                   millions of qbits, to factor anything resembling

                   the key sizes we use today. What the researchers

                   have done is combine classical lattice reduction

                   factoring techniques with a quantum approximate

                   optimization algorithm. This means that they only

                   need a quantum computer with 372 qbits, which is

                   well within what’s possible today. (The IBM Osprey

                   is a 433-qbit quantum computer, for example. Others

                   are on their way as well.)

                   The Chinese group didn’t have that large a quantum

                   computer to work with. They were able to factor 48-

                   bit numbers using a 10-qbit quantum computer. And

                   while there are always potential problems when

                   scaling something like this up by a factor of 50,

                   there are no obvious barriers.

            # ⚓ Dark Reading ☛ WordPress_Sites_Under_Attack_from_Newly

              Found_Linux_Trojan [Ed: The problem here is neither Linux nor

              WordPress but unpatched plugins. Misleading 'journalism',

              calling everything "Linux" when it is negative.]⠀⇛

            # ⚓ IT World CA ☛ Newly_discovered_Linux_vulnerability_rated_10

              in_severity [Ed: This headline is incorrect. It's not

              severity 10.]⠀⇛

      o § Monopolies⠀➾

            # § Copyrights⠀➾

                  # ⚓ Adafruit ☛ Public_Domain_in_2023_#ArtTuesday⠀⇛

                         I recently had a debate with my 10 year old

                         nephew on the pros and cons of IP entering

                         the public domain, his take was surprisingly

                         nuanced.

                         Regardless of how you feel, every year a list

                         of works become public domain. As we roll

                         through the 20’s we’ll see more and more

                         movies on the list. This year we get Fritz

                         Lang’s monumental sci-fi epicMetropolis.

                         Other notables are works from Franz Kafka,

                         Virginia Woolf, and Arthur Conan Doyle.

* § Gemini* and Gopher⠀➾

      o § Personal⠀➾

            # ⚓ What_I’ve_read_in_2022⠀⇛

                   It’s been a weird year. When I wrote my mid-year

                   “what’s up” post, it was right before some turmoil

                   happened IRL and at the same time I started a new

                   job (already left it btw lol), and my reading habit

                   that was going OK during the first half of the year

                   simply ended. Still, I’m incredibly grateful of the

                   love of my friends and family and I don’t lose hope

                   that 2023 will finally let more place to reading.

                   OK! The books!

            # ⚓ The_Wanderer_Returns_(map_upside_down)⠀⇛

                   Two months ago I had the grand idea of writing a

                   post each night. We can see how well that went

                   can’t we. What worries me is that I look back an

                   have no recollection of what was going on to

                   stumble after just two consecutive posts.

                   Well, after finding my password (thanks the great

                   maker for the underside of beer mats) I thought I

                   would quietly sneak back in and sit in the corner.

                   Lots to catch up on here at the bar it seems.

            # ⚓ Day_003:_The_mushroom_bed⠀⇛

                   If the precedent room was dark, like the rest of

                   the dungeon, with only the sculpted nude rock to

                   reverberate the light of your torches (if you use

                   torches), this one is naturally lighted by some of

                   the wondrous and numerous plants (mostly different

                   kinds of mushroom¹, but not only) that occupy the

                   room. The walls, instead of being straight and very

                   obviously carved by something intelligent, seem

                   natural, like if the cave was older than the rest

                   of the dungeon, and just linked to it by a door

                   (except for the door‘s wall).

            # ⚓ emulation_–_basically_immortal_entertainment⠀⇛

                   ay mates! another nostalgia related thing, even if

                   i wasn’t born on those years when the games i

                   mention got released.

                   these days i’ve been playing classic games from

                   consoles like the nes, snes, gba, ds and many

                   others through the power of emulation. actually,

                   i’ve been using emulators ever since i was a kid on

                   a windows xp machine, searching for “sonic 3 free

                   download” or “mario games fun pc” or something

                   goofy like that. i am surprised i never got a virus

                   back then and i highly advise you to not do what i

                   used to do. now i am smart and search on more known

                   websites like vimm’s lair. i also actually used to

                   use emuparadise before the entire “free mario

                   download english language not italian i am not

                   mario” searching cycle.

      o § Technical⠀➾

            # ⚓ Let’s_go_back_to_IRC⠀⇛

                   Modern IMs are bloated, annoying, spyware, time

                   wasters, often proprietary, slow to load, awful to

                   use on bad connections, actively try to sabotage

                   your attention. It’s time we should actively

                   reconsider on how we, as a society, communicate via

                   our devices, and the costs imposed on upon us by

                   the services we use, or get used by.

                   Why does a messaging program need typing

                   notifications? Read receipts? Auto-playing videos?

                   GIF avatars? Reactions? This is by no means a “hurr

                   durr I’m living in a log cabin in the mountains,

                   all that is new is stupid” commentary, it’s just

                   that we use a messaging program, to message. Not to

                   waste another hour, mindlessly clicking through

                   mentions, watching videos, and other specifically

                   engineered “features” to make you spend as much

                   time as possible on their program.

            # ⚓ sbc_woe_woe_–_2023-01-03⠀⇛

                   i ended 2022 perplexed, disturbed, flame

                   extinguished – and worse than all of that my RPi4-

                   4gb died in the dark in a storm and now resides in

                   a plastic box with three other sbcs.

                   i think a loose emmc card did for the RPi4 – card

                   unreadable, RPi4 un-bootable.

            # ⚓ LOS20_and_Nextcloud⠀⇛

                   On that cheery note, I’ve upgraded all of my

                   android sets to LineageOS version 20, based on

                   Android 13. This seems to be the first android

                   release that is reasonably up to date with the

                   current mainline Linux kernel (6.x.x).

                   I’ve seen a flourish of activity on the xda-

                   developer forums from hobbyists who are releasing

                   LOS20 builds for really old outdated handsets. I’m

                   secretly patting myself on the back for keeping

                   these old mobiles, and I don’t know why LOS18 and

                   LOS19 weren’t so popular, but LOS20 really seems to

                   be getting ported onto everything and anything!

            # ⚓ Command_line_tools_I’d_like_to_use_but_can’t⠀⇛

                   miller[1] is a command line tool and scripting

                   language that can be used to manipulate, transform

                   and summarise structured data from CSV, JSON and

                   other formats. Miller is fast and can handle pretty

                   large datasets by streaming data rather than

                   loading it all into RAM. I’d always hoped to use it

                   for quickly exploring a new dataset, or for

                   extracting data subsets for SEOSAW[2] data

                   requests. What has held me back is that I know how

                   to do basically everything that miller can do in an

                   interactive R session. Maybe if I was in a role

                   that only required data munging, rather than

                   munging plus statistical analysis I would use

                   miller more.

            # § Internet/Gemini⠀➾

                  # ⚓ The_Gemini_Mention_amusing_coincidence⠀⇛

                         Nota: I started this entry as a short fun

                         fact about a coincidence, and ended writing a

                         long post responding to Martin and Sean, I’m

                         sorry, but it seems I can’t be concise…

                         On Sunday, while publishing my review for

                         2022 from my new laptop, I had to reinstall a

                         few things for the deployment of my capsule

                         and blog to work. I was using an old version

                         on kiln[1] (static capsule generator) on my

                         previous laptop, so after installing the

                         latest one, I had some issues to fix. I took

                         the “opportunity” to clean a bit my capsu

            # § Programming⠀➾

                  # ⚓ Program_Picker_With_Zenity⠀⇛

                         Zenity is a small utility program for

                         building simple graphical widgets and menus.

                         I’ve never had use for it before, but a few

                         days ago I ran into a situation that it just

                         so happened to be perfect for.

                         I have a program of which I currently have

                         several different versions compiled. Stable,

                         release candidate, latest, etc. Since I start

                         pretty much everything through gmrun (look

                         that up: it’s the best part of searching in

                         the Gnome 3 menu, but without the bloat of

                         Gnome 3) I didn’t want to have to remember

                         which versions I currently have. Wouldn’t it

                         just be better to run a command and pick from

                         the currently available builds?

                  # ⚓ Faster_Index_Joins⠀⇛

                         The most common (and most costly) operation

                         of the marginalia search engine’s index is

                         something like given a set of documents

                         containing one keyword, find each documents

                         containing another keyword.

                  # ⚓ Rogue⠀⇛

                         rogue, or at least the oldest version I could

                         find at the time on the Internet, did not

                         compile on modern systems.

=> =============================================================================

Gemini_(Primer) links can be opened using Gemini_software. It’s like the

World Wide Web but a lot lighter.

                ䷩ 𝚕𝚒𝚗𝚎 6143

Gemini_version_available_♊︎

✐ Links_03/01/2023:_Fwupd_1.8.9_and_helloSystem⠀✐

Posted in News_Roundup at 12:10 pm by Dr. Roy Schestowitz

🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈

§ Contents⠀➾

* GNU/Linux

      o Desktop/Laptop

      o Applications

      o Instructionals/Technical

      o Games

* Distributions_and_Operating_Systems

      o New_Releases

      o BSD

      o Fedora_Family_/_IBM

      o Devices/Embedded

      o Open_Hardware/Modding

      o Mobile_Systems/Mobile_Applications

* Free,_Libre,_and_Open_Source_Software

      o Education

      o Programming/Development

            # Python

            # Shell/Bash/Zsh/Ksh

* Leftovers

      o Education

      o Hardware

      o Health/Nutrition/Agriculture

      o Proprietary

      o Security

            # Privacy/Surveillance

      o Defence/Aggression

      o Environment

            # Energy/Transportation

            # Wildlife/Nature

            # Overpopulation

      o Finance

      o AstroTurf/Lobbying/Politics

      o Censorship/Free_Speech

      o Civil_Rights/Policing

      o Internet_Policy/Net_Neutrality

      o Digital_Restrictions_(DRM)

      o Monopolies

            # Copyrights

* Gemini*_and_Gopher

      o Personal

      o Music

      o Technical

            # Programming

* § GNU/Linux⠀➾

      o § Desktop/Laptop⠀➾

            # ⚓ GamingOnLinux ☛ Linux_use_overtakes_macOS_on_the_Stack

              Overflow_Survey_|_GamingOnLinux⠀⇛

                   Well this is a fun statistic, it seems Linux has

                   become a fair bit more popular than macOS on the

                   Stack Overflow Developer Survey for 2022.

                   Firstly for the 2021 data, professional Linux use

                   was at 25.17% and overall Linux use was 25.32%. At

                   the time macOS was at 30.04% for professionals and

                   25.19% overall. This was from over 80,000

                   responses.

                   This year’s survey had over 70,000 responses, and

                   the results for 2022 show that 40.23% use Linux for

                   personal use while 39.89% use it as a professional.

                   Personal use for macOS was at 31.07% and

                   professional use at 32.97%.

      o § Applications⠀➾

            # ⚓ 9to5Linux ☛ Fwupd_1.8.9_Adds_SHA384_Support_for_TPM_Hashes,

              New_Devices,_and_More⠀⇛

                   Fwupd 1.8.9 Linux system daemon that allows session

                   software to update firmware on GNU/Linux machines

                   has been released today as the latest stable

                   version bringing new features, support for new

                   devices, and lots of improvements.

                   Coming almost a month after fwupd 1.8.8, which

                   brought BIOS rollback protection support for Dell

                   and Lenovo systems, the fwupd 1.8.9 release is here

                   to add SHA384 support for TPM hashes, an

                   interactive request when re-inserting the USB

                   cable, as well as new X-FingerprintReader, X-

                   GraphicsTablet, X-Dock, and X-UsbDock categories.

      o § Instructionals/Technical⠀➾

            # ⚓ Linux Handbook ☛ List_Mounted_Drives_in_Linux⠀⇛

                   If you have multiple drives mounted and want to

                   perform any operations such as repartitioning them,

                   it is crucial to have on-point information.

            # ⚓ Learn Ubuntu ☛ See_Logged_in_Users_on_Ubuntu_Linux⠀⇛

                   Linux from its core is made to have multiple users

                   especially if we consider servers.

                   And there are several reasons why you want to check

                   the currently logged-in users such as to check for

                   unauthorized access.

                   The easiest way to check the logged-in users in

                   your Ubuntu machine is to use the users command:

            # ⚓ Network World ☛ Creating_and_removing_directory_structures

              on_Linux_|_Network_World⠀⇛

                   Managing directories on Linux is easy, but the

                   process gets more complex when you need to create,

                   empty or remove large, complex directory

                   structures. This post will take you from the most

                   basic commands to some fairly complex ones that can

                   help make the process easier.

            # ⚓ ID Root ☛ How_To_Install_Kate_Text_Editor_on_Fedora_37_–

              idroot⠀⇛

                   In this tutorial, we will show you how to install

                   Kate Text Editor on Fedora 37. For those of you who

                   didn’t know, Kate is a free and open-source text

                   editor for Linux, Unix-like, and Windows operating

                   systems. It is part of the KDE Applications

                   software suite and is designed to be a powerful and

                   user-friendly text editor for programmers and non-

                   programmers alike. Kate brings useful features for

                   programmers and other power users, including code

                   folding, syntax highlighting, dynamic word wrap, an

                   embedded console, an extensive plugin interface,

                   and some preliminary scripting support.

                   This article assumes you have at least basic

                   knowledge of Linux, know how to use the shell, and

                   most importantly, you host your site on your own

                   VPS. The installation is quite simple and assumes

                   you are running in the root account, if not you may

                   need to add ‘sudo‘ to the commands to get root

                   privileges. I will show you the step-by-step

                   installation of the Kate Text Editor on a Fedora

37.

      o § Games⠀➾

            # ⚓ Techdirt ☛ Gaming_Like_It’s_1927:_The_Game_Jam_Has_Begun!⠀⇛

                   Sign up for the Public Domain Game Jam on itch.io »

            # ⚓ GamingOnLinux ☛ Valve_dev_teases_HDR_support_for_Linux

              Gaming⠀⇛

                   Lots of people noticed recently than a whole lot of

                   working was going into the Gamescope project for

                   HDR support, and now a Valve developer has teased

                   trying it out. This has been a long time coming,

                   with work needed to support it across multiple

                   parts of the Linux stack but it’s starting to get

                   there now.

            # ⚓ GamingOnLinux ☛ Latest_Steam_Survey_sees_a_minor_dip_for

              Linux_&_Steam_Deck,_still_trending_nicely_overall⠀⇛

                   December 2022 results are in for the Steam Hardware

                   & Software Survey and overall the Linux share is

                   down but the overall trend is still good. Initially

                   the survey results released to some parts that

                   looked off, but Valve seems to have now corrected

it.

            # ⚓ GamingOnLinux ☛ Building_a_Retro_Linux_Gaming_Computer_–

              Part_19:_SiNsational⠀⇛

                   Return to Part 1: Dumpster Diving

            # ⚓ Meduza ☛ Russian_grandmaster_Alexandra_Kosteniuk_to_join

              Swiss_women’s_national_chess_team_—_Meduza⠀⇛

                   The Russian chess grandmaster Alexandra Kosteniuk

                   will join the Swiss women’s national chess team as

                   of January 1, 2024.

* § Distributions and Operating Systems⠀➾

      o ⚓ University of Toronto ☛ Research_Unix_V2_already_had_a_lot_of

        what_we_think_of_as_‘Unix’⠀⇛

             When I looked into how far back Unix’s special way of

             marking login shells goes, I wound up looking at the V2

             source of login.s, which is a .s file instead of a .c

             file because C (the language) was barely starting to be a

             thing in mid-1972. One of the things that struck me when

             I looked at the V2 login.s was how much of what we

             consider standard Unix features were already there in

             some form in V2.

      o § New Releases⠀➾

            # ⚓ Linuxiac ☛ Nitrux_Linux_2.6:_A_New_Approach_to_Package

              Management⠀⇛

                   Nitrux 2.6 has arrived, featuring Plasma 5.26,

                   Linux kernel 6.1, and a new approach to package

                   management that does away with APT and DPKG

                   commands.

                   Nitrux is a special Linux distribution. It is

                   desktop-focused, based on the Debian unstable

                   branch distro, featuring a heavily modified KDE

                   Plasma desktop environment, the MauiKit application

                   framework, and a unique approach to package

                   management.

                   That means there will be no conventional package

                   management here. Instead, all the apps you need can

                   be installed as Flatpak packages, AppImages, or

                   inside Distrobox containers.

      o § BSD⠀➾

            # ⚓ Make Use Of ☛ helloSystem:_The_Open-Source_FreeBSD-Based

              macOS_Alternative⠀⇛

                   For years, macOS has received rave reviews about

                   its user interface, but not so much about the price

                   of Apple’s hardware. Open-source advocates have

                   also railed against what they see as Apple’s

                   increasingly draconian treatment of its hardware

                   and software.

                   helloSystem is the latest attempt to recreate

                   macOS’s interface in an open-source OS. How does it

                   hold up? Let’s find out.

                   helloSystem is an open-source OS development effort

                   to provide an elegant user interface on top of free

                   and open software. Like macOS, it’s based on

                   FreeBSD.

                   While the design is obviously influenced by macOS,

                   helloSystem is not intended as a drop-in clone.

      o § Fedora Family / IBM⠀➾

            # ⚓ OMG! Linux ☛ Fedora_Approves_Official_Budgie_–_Sway_Spins_–

              OMG!_Linux⠀⇛

                   When Fedora 38 is released in April it be available

                   in two new spins.

                   The Fedora Engineering and Steering Committee

                   (FESCo) unanimously voted to approve the creation

                   of an official Fedora Spin using the Sway window

                   manager by default, and an official Fedora spin

                   built with the popular Budgie desktop environment.

                   Sway and Budgie are already available for Fedora

                   users to install on current versions of the distro,

                   with the Budgie packages officially landing last

                   spring.

      o § Devices/Embedded⠀➾

            # ⚓ Linux Gizmos ☛ Edge_Computing_device_powered_by_Celeron_CPU

              and_RPi_2040⠀⇛

                   The SenseCAP M4 Square is an edge computing

                   solution integrating a Quad-core J4125 processor

                   and a Dual-core RP 2040 microcontroller as a

                   coprocessor. This device offers a 2.5GbE port…

            # ⚓ Linux Gizmos ☛ Low-Power_BLE/NFC_modules_support_Azure_RTOS

              and_FreeRTOS⠀⇛

                   The CBT250 from CEL is a low power IoT module built

                   around the QN9090 Bluetooth 5.0/NFC chipset from

                   NXP Semiconductors. This module integrates a

                   Cortex-M4 processor clocked at 48MHz and it also

                   offers support for various interfaces such as I2C,

                   SPI, UART, PWM, I2S, etc.

      o § Open Hardware/Modding⠀➾

            # ⚓ [Old] Thomas Depierre ☛ Home_Office_Setup_2021⠀⇛

                   After 3 years of full remote work, i think my home

                   office is starting to look acceptable. So let’s

                   share it. This is of course a work in progress. I

                   usually prioritise getting something more expensive

                   if i expect it to stand the test of time. If i will

                   probably still use it without pain in a decade, i

                   am ready to pay more for it. Keep that in mind.

            # ⚓ Tom’s Hardware ☛ How_To_Monitor_Temperature_With_a

              Raspberry_Pi_Pico⠀⇛

                   The Raspberry Pi Pico is the ideal way to get into

                   microcontrollers. Starting from $4, the board is

                   cheap and easy to work with. The low cost and ease

                   of use means we can easily drop them into a project

                   without fearing the worst for our wallet.

                   In this how-to, we will use a Raspberry Pi Pico to

                   capture live temperature data using a DS18B20. This

                   sensor comes in many forms, from a bare transistor

                   chip, to a water resistant cable. We’ll be using

                   the latter version, which can be partially

                   submerged in a liquid to monitor the temperature.

                   Our project will take a temperature reading and

                   using a conditional test in MicroPython it will

                   trigger an LED to flash if the temperature goes

                   below 20 degrees Celsius.

      o § Mobile Systems/Mobile Applications⠀➾

            # ⚓ 9to5Google ☛ How_to_install_Google’s_VPN_on_your_desktop

              and_Android_phone⠀⇛

            # ⚓ Android Police ☛ How_to_use_a_Google_Chromecast_to_mirror

              your_Android’s_display⠀⇛

            # ⚓ Android Police ☛ Best_new_Android_game_releases_December

              2022⠀⇛

            # ⚓ Reuters ☛ Google_alleges_India_antitrust_body_copied_parts

              of_EU_order_on_Android_abuse_|_Reuters⠀⇛

            # ⚓ GSM Arena ☛ Poco_C50_announced_in_India_with_5,000mAh

              battery,_Android_12_Go_Edition_–_comments⠀⇛

            # ⚓ GameCIH_APK_v3.0.4_Free_Download_for_Android_Latest_Version

              –_DekiSoft⠀⇛

                   This is an original memory editor that was created

                   some 7-10 years back.

            # ⚓ Magisk_Manager_Download_APK_For_Android_in_2023_(LATEST)_–

              DekiSoft⠀⇛

                   Your phones are always underutilized for what they

                   have to offer! There is always that extra feature

                   or resource you can use.

                   Or that despite your belief that you control your

                   phone device; it is your phone controlling you.

                   This is where Magisk and Magisk Manager Apk

                   download comes in its latest version allowing you

                   to root your device easily.

            # ⚓ Kevin Norman ☛ How_the_Pixel_6_Pro_charges_–_In_Graphs_|

              Kevin_Norman⠀⇛

                   I was bored, and was curious to know what the

                   charging behaviour of my Pixel 6 Pro looked like. I

                   decided to use a Ugreen Nexode 100w USB-C charging

                   brick with a Macbook charging cable as the power

                   supply, and left my phone in its case. I note this

                   because I will in the future perform this same test

                   with the phone artificially cooled to see how much

                   of a difference temperature makes to charging rate.

                   I picked the Ugreen Nexode PSU because it has the

                   widest support for quick charging standards I’ve

                   ever seen. It supports all sorts of weirdo

                   standards, and I highly recommend owning one. It

                   supports (and I am sure this is not an exhaustive

                   list):

* § Free, Libre, and Open Source Software⠀➾

      o § Education⠀➾

            # ⚓ Harish Pillay ☛ My_very_first_computer_lesson/usage_–

              1976!⠀⇛

                   Why am I recounting this story? Because I just

                   discovered a newspaper article that describes this

                   computer. It was printed in the New Nation of 20

                   February 1974 on page 2 under the heading “Teachers

                   try out computers course by Ministry”.

                   This was made possible by a new-established

                   S$70,000 computer training centre setup by the

                   Singapore Ministry of Education. The system as a

                   $60,000 computer given by the Overseas Technical

                   Cooperation Agency of the Japanese government

                   through the Colombo Plan.

      o § Programming/Development⠀➾

            # ⚓ Terence Eden ☛ Responsible_Disclosure:_XSS_in_Codeberg

              Pages⠀⇛

                   Now, whenever I see something from the request

                   echoed into the page’s source, my hacker-sense

                   starts tingling. What happens if I shove an

                   innocent HTML element into the URl?

            # ⚓ Matt Rickard ☛ A_New_ML_Stack⠀⇛

                   What stayed the same? The developer tools and

                   libraries — TensorFlow, PyTorch. Although even

                   these have started to be consolidated into bigger

                   building blocks (e.g., HuggingFace’s transformers

                   library). Generally, these libraries have absorbed

                   new developments fairly easily, and the primitives

                   that they provide (abstracting the underlying

                   hardware, matrix multiplication, etc.) are generic

                   enough.

            # ⚓ MIT Technology Review ☛ The_computer_scientist_who_hunts

              for_costly_bugs_in_[cryptocurrency]_code⠀⇛

            # ⚓ James G ☛ Announcing_highlight.js,_an_extension_to

              highlight_text_on_web_pages_|_James’_Coffee_Blog⠀⇛

                   I participated in IndieWeb Create Day, an online

                   event during which people in the IndieWeb come

                   together to work on personal projects, this Boxing

                   Day. I decided to start on a new project. I wanted

                   to build a tool that would let me highlight

                   specific pieces of text on my website and send

                   those highlights to someone else for them. I have

                   previously built a tool, fragmention.js, that lets

                   you link to a specific paragraph of text, but this

                   tool has its limitations: I can’t link to multiple

                   parts of a web page, I can only link to full

                   paragraphs.

            # ⚓ Running_Around:_2022_running_dataviz_in_R_–_quantixed⠀⇛

                   2022 was my best year for running to date. In 2021,

                   my goal was to run 2021 km. For 2022, I wanted to

                   see if I could run 2500 km and also to run 50 HM-

                   or-more distance runs. I managed both and ended the

                   year on a total of 2734 km. I also bagged two PBs

                   for half marathon.

                   Of course, if you subscribe to Strava or VeloViewer

                   or whatever, you can get a nice data visualisation

                   of your year in running. But where’s the fun in

                   that when we can do that (and so much more) in R?

            # § Python⠀➾

                  # ⚓ Hackaday ☛ The_Whole_Thing_In_Python⠀⇛

                         [hsgw] built a macropad in Python, and that’s

                         not a strange language to choose to program

                         the firmware in these days. But that’s just

                         the tip of the iceberg. The whole process —

                         from schematic capture, through routing and

                         generating the PCB, and even extending to

                         making the case — was done programmatically,

                         in Python.

                  # ⚓ Brett Cannon ☛ Classifying_Python_virtual_environment

                    workflows⠀⇛

                         I have been spending some time as of late

                         thinking, and asking the community via the

                         fediverse, about how people deal with virtual

                         environments in Python. I have ended up with

                         various ways of classifying people’s virtual

                         environment management and I wanted to write

                         it all down to both not forget and to explain

                         to all the nice people answering my various

                         polls on the topic why I was asking those

                         questions.

                  # ⚓ [Old] Beets ☛ Beets:_Chromaprint/Acoustid_Plugin⠀⇛

                         Acoustic fingerprinting is a technique for

                         identifying songs from the way they “sound”

                         rather from their existing metadata. That

                         means that beets’ autotagger can

                         theoretically use fingerprinting to tag files

                         that don’t have any ID3 information at all

                         (or have completely incorrect data). This

                         plugin uses an open-source fingerprinting

                         technology called Chromaprint and its

                         associated Web service, called Acoustid.

                         Turning on fingerprinting can increase the

                         accuracy of the autotagger—especially on

                         files with very poor metadata—but it comes at

                         a cost. First, it can be trickier to set up

                         than beets itself (you need to set up the

                         native fingerprinting library, whereas all of

                         the beets core is written in pure Python).

                         Also, fingerprinting takes significantly more

                         CPU and memory than ordinary tagging—which

                         means that imports will go substantially

                         slower.

                         If you’re willing to pay the performance cost

                         for fingerprinting, read on!

                  # ⚓ Beets ☛ For_Developers⠀⇛

                         This section contains information for

                         developers. Read on if you’re interested in

                         hacking beets itself or creating plugins for

it.

                         See also the documentation for MediaFile, the

                         library used by beets to read and write

                         metadata tags in media files.

            # § Shell/Bash/Zsh/Ksh⠀➾

                  # ⚓ Linux Hint ☛ Different_Examples_of_Checking_Whether_a

                    Sting_Contains_a_Substring_or_Not⠀⇛

                         Sometimes, it requires checking whether a

                         particular string exists in another string or

                         not for programming purposes. Since there is

                         no built-in function in Bash to do this task

                         like other programming languages, there are

                         some commands and operators in Bash to do

                         this task. Different ways of checking if a

                         string contains a substring in Bash are shown

                         in this tutorial.

* § Leftovers⠀➾

      o ⚓ Hackaday ☛ Holographic_Cellphones_Coming_Thanks_To_AI⠀⇛

             Issac Asimov foresaw 3D virtual meetings but gave them

             the awkward name “tridimensional personification.” While

             you could almost do this now with VR headsets and 3D

             cameras, it would be awkward at best. It is easy to

             envision conference rooms full of computer equipment and

             scanners, but an MIT student has a method that may do

             away with all that by using machine learning to simplify

             hologram generation.

      o ⚓ The Nation ☛ Popular_Rule⠀⇛

             In the early years of the United States, almost no one

             called the country’s highly unusual experiment in popular

             sovereignty a “democracy.” Even with most of the

             population excluded from the franchise by reason of race,

             gender, or wealth, the term suggested an effort to put

             into practice something that was dangerous, unstable—in

             short, a mess. Only around the start of Andrew Jackson’s

             presidency in the late 1820s did the concept of

             democracy—redefined to mean a representative version of

             popular rule constrained by a constitution—catch on and

             begin its meteoric ascent. It took even longer for

             individualized voting in the form of the secret ballot to

             become the norm across the United States, finally

             establishing the particular form of representative

             democracy that we know today.

      o ⚓ Neritam ☛ Banning_video_apps⠀⇛

             Democracies need to approach this issue by taking an

             uncompromising stance on digital privacy and human

             rights. Accepting anything less, and we invite the

             comparison; whether you think it’s fair or not.

      o ⚓ Jacobin Magazine ☛ We_Don’t_Want_a_Post-Pandemic_“Return_to

        Normal,”_We_Want_the_End_of_Capitalism⠀⇛

             Still, the task of saying “not so fast” was dutifully

             taken up by skeptics. In the end, neither side is — or

             even can be — entirely correct. The debate deals in

             absolute pronouncements — or absolute headlines — that

             obscure nuance. But epochal political-economic forms do

             not disappear to be replaced whole cloth overnight. If

             neoliberalism is dying, it is also still very much alive,

             even if it is in poor health. We appear to be stuck in an

             unresolved interregnum.

      o ⚓ [Repeat] Jacobin Magazine ☛ Why_the_Twitter_Files_Are_in_Fact_a

        Big_Deal⠀⇛

             The so-called Twitter Files, which started being released

             at the start of December, have so far generated a lot

             more discussion of the metacontroversies surrounding

             their release than of what’s actually in the “files”

             themselves: controversies about who released the files,

             who reported on them, the way they were reported, the

             wrong-headed political beliefs of some of those involved

             in the reporting. That’s too bad, because for all its

             very real faults, the Twitter Files story is an important

             and consequential piece of reporting that everyone —

             particularly on the Left — should be paying attention to.

             Make no mistake: while some criticisms of the project

             coming from left of center certainly have merit, that

             doesn’t mean the disclosures aren’t important, or that

             the accuracy of the information contained in the files is

             somehow undermined by the political slant of some of

             those reporting on it. The Twitter Files give us an

             unprecedented peek behind the curtain at the workings of

             Twitter’s opaque censorship regime, and expose in greater

             detail the secret and ongoing merger of social media

             companies and the US national security state. And while

             Bari Weiss may not be interested in them, there are major

             implications for the Left.

      o ⚓ SparkFun Electronics ☛ One_Last_Look_at_2022_–_News_–_SparkFun

        Electronics⠀⇛

             This year is coming to an end, and while we’re making

             resolutions and (safely) watching fireworks, we wanted to

             take a look back with you all at our favorite blogs and

             products from this year.

      o ⚓ Adafruit ☛ Spacedock_Offers_an_Extended_Tour_of_the_Discovery_One

        –_Adafruit_Industries_–_Makers,_hackers,_artists,_designers_and

        engineers!⠀⇛

             In this Spacedock video, they give a detailed rundown of

             the design and function of the Discovery One spacecraft

             from the Stanley Kubrick’s 60s sci-fi masterpiece 2001: A

             Space Odyssey and 2010: The Year We Make Contact.

      o ⚓ Kevin Norman ☛ Surviving_Hotel_Hell_and_Visa_Chaos:_A_Cautionary

        Tale⠀⇛

             As a 16-year-old, I made the decision to leave the UK due

             to my dislike of the politics and direction of Great

             Britain under the Conservative party, particularly under

             the leadership of Theresa May as Home Secretary. This

             decision was further solidified by the Brexit referendum

             and the actions of subsequent leaders such as Boris

             Johnson and Priti Patel. Over the past decade, my views

             have only been reinforced by the events and developments

             in British politics.

             Several years ago, my wife and I decided to immigrate to

             Canada and applied for the Express Entry program, which

             allows those with certain qualifications to obtain

             permanent residence in the country. We anticipated the

             process to take between six and twelve months. However,

             the pandemic caused Express Entry to be effectively

             halted and we eventually gave up on the process. I then

             periodically would look into alternative routes in.

      o ⚓ Chris Hannah ☛ Success_Is_a_Lagging_Indicator⠀⇛

             This is something that I think I need to keep reminding

             myself of. It’s obvious once explained, but also, for me,

             something I tend to forget quite quickly.

             [...]

             By basing your actions on an identity, it can be easier

             to do the right things. Since you aren’t chasing a

             singular goal, you are aiming to be the kind of person

             that would achieve that goal. For example, instead of

             having a goal to write a book, work on becoming a book

             writer. Focussing on a goal can mean you forget about the

             process. As he writes in the book, “winners and losers

             can have the same goal”.

             However, if you let a desired identity become the core of

             your habits, the processes will fall into place, and

             eventually will the outcomes. Put simply, if you keep

             putting in the work, success will be something that just

             happens as a result of your actions.

      o ⚓ Ruben Schade ☛ Rubenerd:_Pandemic_podcast_listening_habits⠀⇛

             Ditto. I started listening to podcasts before the term

             existed, and got up to more than a dozen on regular

             rotation when I commuted. Now, my twice-weekly trips are

             just as likely to be filled with music, books, and

             reading feeds than podcasts. Even then, I’ve adjusted to

             listening when something interests me, rather than

             treating them as a season of episodes I have to tune

             into.

      o § Education⠀➾

            # ⚓ Pro Publica ☛ After_DeSantis’_Anti-CRT_Law,_Florida

              Professors_Cancel_Courses,_Modify_Teaching⠀⇛

                   Jonathan Cox faced an agonizing decision. He was

                   scheduled to teach two classes this past fall at

                   the University of Central Florida that would

                   explore colorblind racism, the concept that

                   ostensibly race-neutral practices can have a

                   discriminatory impact. The first, “Race and Social

                   Media,” featured a unit on “racial ideology and

                   color-blindness.” The second, “Race and Ethnicity,”

                   included a reading on “the myth of a color-blind

                   society.” An assistant sociology professor, Cox had

                   taught both courses before; they typically drew 35

                   to 40 undergraduates apiece.

                   As recently as August 2021, Cox had doubted that

                   the controversy over critical race theory — which

                   posits, among other things, that racism is

                   ingrained in America’s laws and power structure —

                   would hamstring his teaching. Asked on a podcast

                   what instructors would do if, as anticipated,

                   Florida restricted the teaching of CRT in higher

                   education, he said that they would need to avoid

                   certain buzzwords. “What many of us are looking at

                   doing is just maybe shifting some of the language

                   that we’re using.”

      o § Hardware⠀➾

            # ⚓ CNX Software ☛ COM_Express_–_COM-HPC_modules_features_Intel

              13th_gen_Raptor_Lake_embedded_processors_–_CNX_Software⠀⇛

                   The Raptor Lake-P module will support Windows 10

                   IoT Enterprise LTSC and Ubuntu 64-bit, and Yocto

                   project-based Linux 64-bit and VxWorks may also be

                   supported, but this will have to be confirmed.

            # ⚓ CNX Software ☛ Meet_Intel_Processor_and_Core-i3_N-series

              “Alder_Lake_N-series”_processors⠀⇛

            # ⚓ Hackaday ☛ A_Single_Ended_Vacuum_Tube_Amplifier_With_A

              Modern_Twist⠀⇛

                   Despite the oldest solid state audio circuitry now

                   qualifying for a pension and a bus pass where this

                   is being written, the thermionic tube retains a

                   foothold in the world of audio — cherished by

                   enthusiasts for the warm sound it is claimed to

                   impart. For  the electronics enthusiast a tube

                   audio amplifier makes for an interesting and

                   unusual project, and for that reason it’s one

                   tackled by many. [Keri Szafir] is no exception, and

                   she’s produced a stereo tube amp with a few modern

                   features.

            # ⚓ Hackaday ☛ A_Bicycle_Trailer_Fit_For_Heavy_Haulage⠀⇛

                   One of the problems of being a cyclist is that a

                   bicycle just isn’t designed to carry much more than

                   a human. You can get panniers and hang shopping

                   bags from the handlebars, but sooner or later

                   there’s a load which just doesn’t fit. At that

                   point there’s only one way forward that involves

                   staying on two wheels: find a bike trailer. If you

                   fancy building one yourself, then there’s La

                   Charette (French language, Google Translate link),

                   an open-source three-wheeler design from France.

            # ⚓ Hackaday ☛ All_Aboard_The_Garbage_Express⠀⇛

                   Cog railways are a somewhat unusual way of train

                   locomotion, typically only installed when a train

                   needs to climb steep terrain. Any grade above about

                   10% needs the extra traction since the friction

                   between the wheels and rails won’t be enough to

                   push the train forward or keep it from falling

                   backwards. Even without a steep hill to climb,

                   sometimes a cog railway is necessary for traction

                   as [Max Maker] discovered while building a train

                   for his garbage cans.

      o § Health/Nutrition/Agriculture⠀➾

            # ⚓ Did_Anthony_Fauci_have_an_“conflict_of_interest”_because

              his_wife_is_Chief_of_Bioethics_at_NIH?⠀⇛

                   A couple of weeks ago, I wrote about how

                   antivaxxers and COVID-19 conspiracy theorists

                   project their view of how the world works on

                   Anthony Fauci and the NIH by falsely portraying the

                   NIH grant funding process like the way a mob boss

                   doles out favors to those who support him the most

                   strongly and withholds them from those who are

                   insufficiently loyal. As I put it at the time,

                   Anthony Fauci is not akin to Michael Corleone

                   taking tribute and loyalty at the end of The

                   Godfather; there’s a process governed by law and

                   scores of regulations to rank grant applications

                   based on scientific merit. In the case of the

                   National Institute of Allergy and Infectious

                   Diseases (NIAID), from which Dr. Fauci retired at

                   the end of last year after a tenure lasting nearly

                   four decades. Basically, for longstanding grant

                   funding mechanisms, Institute and Center directors

                   (like Anthony Fauci) don’t have a lot of input into

                   which applications are funded, although they do

                   sign off on the funding decisions and are on the

                   final committee that evaluates the highest scored

                   grants.

      o § Proprietary⠀➾

            # ⚓ Nikhil Marathe ☛ A_Racket_program_to_decrypt_files

              encrypted_with_Synology_Cloudsync_–_Nikhil’s_blog [Ed: Well,

              proprietary decryption is not trustworthy. Windows and macOS

              are controlled by companies that cooperate with the NSA and

              actively facilitate remote access by the NSA.]⠀⇛

                   The decryption software is not open source, and is

                   a Windows and macOS-only GUI app. My version can

                   run on any platform

      o § Security⠀➾

            # ⚓ Port Swigger ☛ Security_done_right_–_infosec_wins_of_2022⠀⇛

                   As 2022 draws to a close, The Daily Swig is

                   revisiting some of the year’s most notable web

                   security wins and egregious infosec fails.

                   Yesterday we showcased the year’s biggest fails –

                   the security disasters, industry calamities, and

                   the emergence of vulnerabilities so stupid they’ll

                   make your eyes roll.

                   Today, we’re celebrating the times that

                   organizations, governments, and the infosec

                   community have shown laudable skill, judgement, and

                   commitment to better securing the cyber sphere in

                   2022.

            # ⚓ Open Source Security (Audio Show) ☛ The_perverse_incentive

              of_vulnerability_counting_–_Open_Source_Security⠀⇛

                   It seems like every few years the topic of counting

                   vulnerabilities in products shows up. Last time the

                   focus seemed to be around vulnerabilities in Linux

                   distributions, which made distroless and very small

                   container images popular. Today it seems to be

                   around the vulnerabilities in open source

                   dependencies. The general idea is you want to have

                   as few vulnerabilities in the open source you’re

                   using, so logically zero is the goal.

                   However, trying to get to zero vulnerabilities in

                   your products, projects, and infrastructure is a

                   perverse incentive. It’s easy to imagine zero as

                   the end state, but you end up with the cobra

                   effect. A goal of zero vulnerabilities will result

                   in zero vulnerabilities, but not in the way you

                   want. And really zero isn’t what you want, what you

                   want is process that reduces your risk. If all you

                   focus on is vulnerability counting, there’s a very

                   good chance you would lower your vulnerability

                   count and accidentally increase risk elsewhere.

                   [...]

                   Why is zero vulnerabilities impossible? It doesn’t

                   seem like it should be all that hard to fix all the

                   vulnerabilities. Just run super small containers,

                   use only the dependencies you need, upgrade

                   everything quickly, and DONE!

                   This is probably true when you’re a small team (or

                   maybe giving a conference keynote), but if you’ve

                   ever been part of a group managing infrastructure

                   more than a few years old, it’s rarely as easy as

                   running the minimum and upgrading six times a day.

                   You’re on the 12th generation of developers. Nobody

                   remembers why you can’t shut down that machine in

                   us-east-1, but if you do everything breaks. There

                   are dependencies that you can’t find the source for

                   anymore. The tests broke a week ago and there’s no

                   time to fix it because everyone is off on Christmas

                   break.

                   If you tell people like this they need zero

                   vulnerabilities, they will find a way to make the

                   scanner report zero. Upgrading everything quickly

                   won’t be how it reports zero, it will be by doing

                   things to hide vulnerabilities. This comes back to

                   the idea of increasing risk elsewhere. While hiding

                   things gives the impression of reducing risk, we’ve

                   actually increased the overall risk by a lot.

            # § Privacy/Surveillance⠀➾

                  # ⚓ EFF ☛ A_Year_in_Internet_Surveillance_and_Resilience:

                    2022_in_Review⠀⇛

                         While the European Union’s eIDAS (electronic

                         IDentification, Authentication and trust

                         Services) framework and law is not new and

                         has been in effect since 2014, there were

                         several amendments proposed in the European

                         Parliament that have struck new

                         conversations, and concerns. As a top

                         example, there is a proposed amendment to

                         Article 45 that we believe could

                         fundamentally alter the web trust model as we

                         know it. The amendment would require that web

                         browsers trust third parties designated by

                         the government, without necessary security

                         assurances.

                         EFF went over the implications and concluded

                         that it is a solution in search of a problem.

                         The proposal would enforce expensive

                         Qualified Web Authentication Certificates

                         (QWACs) for websites, instead of cheaper or

                         free certificates as the safest option for

                         communication on the web; and it could

                         potentially make users vulnerable to

                         malicious activity by government-based

                         Certificate Authorities (or Qualified Trust

                         Service Providers/QTSPs) in a worse case

                         scenario.

                         December 6th 2022, The Council of the

                         European Union adopted the original amendment

                         language despite the proposals from several

                         committees in the European Parliament that

                         would allow browsers to protect users in

                         light of a security threat by a QTSP. The

                         ultimate decision lies with the Industry,

                         Research and Energy committee (ITRE), and we

                         urge the final vote to ensure that browsers

                         can continue to block certificate authorities

                         that don’t meet security standards,

                         especially when the EU itself is facing

                         member states’ various issues around

                         democracy.

                  # ⚓ EFF ☛ Data_Sanctuary_for_Abortion_and_Trans_Health

                    Care:_2022_in_Review⠀⇛

                         Many states are stepping forward to serve as

                         health care sanctuaries for people seeking

                         abortion or gender-affirming care that is not

                         legal at home. These states must also be data

                         sanctuaries. To be the safest refuge, a state

                         that has data about people who sought

                         abortion or gender-affirming health care must

                         lock down that data, and not disclose it to

                         adversaries who would use it to punish them

                         for seeking that health care.

                         So it is great news that California Gov.

                         Gavin Newsom recently signed three bills that

                         will help meet these data privacy threats:

                         A.B. 1242, authored by Asm. Rebecca Bauer-

                         Kahan; A.B. 2091, authored by Asm. Mia Bonta;

                         and S.B. 107, authored by Sen. Scott Wiener.

                         EFF supported all three bills. And we

                         encourage other states to pass similar bills.

                         They create new reproductive and trans health

                         data exemptions from old information

                         disclosure mandates. These laws also place

                         new limits on how courts, government

                         agencies, and businesses handle this data.

                         (You can read here a more detailed

                         explanation of these three new California

                         laws; this post is a summary.)

                  # ⚓ TruthOut ☛ Anti-Abortion_Pregnancy_Centers_Claim_to

                    Be_Medical_Clinics_and_Get_Away_With_It⠀⇛

                  # ⚓ dwaves.de ☛ -_Google_hates_Tor_–_Any_website_that_is

                    blocking_Tor_SUCKS!_|_dwaves.de⠀⇛

                         Why does Google hate Tor?

                         Because Google is a mass-surveillance AI.

                         And surveillance hates anonymizing networks

                         such as Tor.

                  # ⚓ Tim Bray ☛ ongoing_by_Tim_Bray_·_Private_and_Public

                    Mastodon⠀⇛

                         It’s like this: When you post to your blog or

                         your public Twitter account, your words and

                         pictures instantly join your eternal public

                         record, available to everyone who loves or

                         hates you or doesn’t care. Who can build

                         search engines, not to mention ML models and

                         adTech systems and really anything else, to

                         help the world track and follow and analyze

                         and sell things to you.

                         And, if you’re vulnerable, attack you, shame

                         you, doxx you, SWAT you, try to kill you.

                         The people who built Mastodon, and the ones

                         operating large parts of it, do not want that

                         to happen again. Full-text search (with

                         limited exceptions) has, as a matter of

                         choice, been left out of the software. Why?

                  # ⚓ James G ☛ The_Guardian_Article_Counts [Ed: Guardian

                    is spying on people who read it, even if they don't log

                    in, and then asks them to add money to the bribes this

                    paper routinely receives from oligarchs including Bill

                    Gates (for propaganda which targets the "liberals"); in

                    the past, with libraries (books) and newspapers they

                    did not keep catalogue of which articles and pages you

                    read; Adobe even integrated this kind of spyware into

                    its PDF reader.]⠀⇛

                         I think “read” is a tad liberal because I

                         know I didn’t read all the words on all of

                         those articles, but I like seeing the count

                         go up over time.

      o § Defence/Aggression⠀➾

            # ⚓ Democracy Now ☛ “Latinos,_Race_and_Empire”:_Juan_González

              Challenges_the_Cooptation_of_Diversity,_Equity_&_Inclusion⠀⇛

                   We continue our Democracy Now! special broadcast

                   with Democracy Now! co-host Juan González, who

                   recently gave three “farewell” speeches in his

                   hometown of New York before he moved to Chicago.

                   González is an award-winning journalist and

                   investigative reporter who spent 29 years as a

                   columnist for the New York Daily News. He is a two-

                   time winner of the George Polk Award and author of

                   many books, including the classic “Harvest of

                   Empire: A History of Latinos in America,” which has

                   just been reissued and published in Spanish. In

                   December at the Graduate Center of the City

                   University of New York, he gave an address on

                   “Latinos, Race and Empire.” Before his CUNY talk,

                   New York City Councilmember Alexa Avilés presented

                   González a proclamation recognizing his remarkable

                   achievements. (Watch in full here.)

            # ⚓ Democracy Now ☛ Democracy_Now!’s_Juan_González_on_40_Years

              of_Fighting_for_Racial_and_Social_Justice_in_Journalism⠀⇛

                   In a Democracy Now! special broadcast, we spend the

                   hour with our own Juan González, who recently gave

                   three “farewell” speeches in his hometown of New

                   York before he moved to Chicago. González is an

                   award-winning journalist and investigative reporter

                   who spent 29 years as a columnist for the New York

                   Daily News. He is a two-time winner of the George

                   Polk Award and author of many books, including the

                   classic “Harvest of Empire: A History of Latinos in

                   America,” which has just been reissued and

                   published in Spanish. His other books include “News

                   for All the People: The Epic Story of Race and the

                   American Media.” González is also the founder and

                   past president of the National Association of

                   Hispanic Journalists. Before beginning his career

                   in journalism, he spent several years as a Latino

                   community and civil rights activist, helping to

                   found and lead the Young Lords Party during the

                   late 1960s. He has also been the co-host of

                   Democracy Now! since it started in 1996, and is

                   continuing to co-host the show from his new home in

                   Chicago. In the first part of our special, we

                   feature his address in November at the Columbia

                   Journalism School reflecting on “Forty Years of

                   Fighting for Racial and Social Justice in

                   Journalism.” (Watch in full here.)

            # ⚓ TruthOut ☛ Agroindustry_Lobby_Is_Using_the_Ukraine_War_to

              Push_Unsustainable_Farming_Policy⠀⇛

            # ⚓ Scheerpost ☛ Ukraine_Prepares_To_Give_Free_Rein_to_Property

              Developers⠀⇛

                   Critics fear a new planning law will hand power to

                   property developers and put Ukraine’s historic

                   buildings at risk.

            # ⚓ Meduza ☛ Ukraine_presses_felony_charges_against_top_Russian

              military_officials_—_Meduza⠀⇛

                   The Security Service of Ukraine has announced that

                   it has collected extensive evidence of two high-

                   ranking Russian military officials’ criminal

                   involvement in the air raids and missile strikes on

                   civilian infrastructure in Ukraine.

            # ⚓ Counter Punch ☛ Will_the_Ukrainian_War_Turn_Nuclear?⠀⇛

                   For a U.S. military conversation about the

                   potential for nuclear weapons to be used in the

                   Ukrainian war, listen to this December 28 podcast

                   from War on the Rocks: Nukes, Negotiations, and

                   Lessons From the War in Ukraine.

                   In an interview with three faculty members of the

                   U.S. Air and Space Force’s Air University, War on

                   the Rocks founder Ryan Evans weighed in himself

                   with the thought that the war is not “ready for

                   nukes yet, which isn’t to say it’s not going to

                   happen.”

            # ⚓ Common Dreams ☛ It_Was_Dark._It_Was_Loud._It_Was_Hard_For

              Many.⠀⇛

                   First, apologies to readers who had to look so long

                   at that former grotesquerie while we sorted out our

                   tech glitches here. Second, Happy New Year. With

                   America’s baleful clouds still hovering – see a

                   daft GOP House agenda of China, laptop, forced

                   pregnancy, “illegal aliens” – we hope to emulate

                   the latest somber, moving, defiant vow of Ukraine’s

                   Volodymyr Zelenskyy to move past grief and loss to

                   action. “Each of us is a fighter,” he said. “Each

                   of us is a front.”

            # ⚓ Common Dreams ☛ Envisioning_a_World_Without_Nuclear

              Weapons⠀⇛

                   January 22 marks the second anniversary of the U.N.

                   Treaty on the Prohibition of Nuclear Weapons, a

                   global lifeboat supported by 70% of the world’s

                   countries. Meanwhile, the U.S. Department of

                   Energy’s 2023 budget request for nuclear weapons’

                   upgrade is more than $21 billion and close to $8

                   billion for radioactive and chemical cleanup at

                   nuclear weapon sites across the country. Stack this

                   up against the same department’s 2023 budget for

                   energy efficiency and renewable energy—$4

                   billion—and we see the future: weapons trump wind

                   turbines; war worsens climate crisis.

            # ⚓ Common Dreams ☛ On_Anniversary_of_Jan._6_Attack,

              Progressive_Democrats_Announce_Nationwide_Rallies_for

              Democracy⠀⇛

                   Progressive Democrats of America on Monday

                   announced plans to hold rallies across the nation

                   on Friday, the second anniversary of the January 6,

                   2021 insurrection, to call on lawmakers to do

                   everything in their power to protect the U.S. from

                   attacks on democracy, including the gutting of

                   voting rights protections and threats to election

                   officials.

            # ⚓ Common Dreams ☛ Israel’s_Ben-Gvir_Postpones_Visit_to_Al-

              Aqsa_Amid_Warnings_That_‘People_Will_Die’⠀⇛

                   Israel’s far-right national security minister on

                   Monday postponed a planned visit Islam’s third-

                   holiest site amid warnings from the country’s

                   opposition leader and Palestinian officials that

                   such a trip would have deadly consequences.

            # ⚓ Scheerpost ☛ US,_Israel_Vote_No_as_UN_Approves_World_Court

              Resolution_on_Illegal_Occupation⠀⇛

                   “The time has come for Israel to be a state subject

                   to law,” said a spokesperson for the Palestinian

                   Authority, “and to be held accountable for its

                   ongoing crimes against our people.”

            # ⚓ Meduza ☛ Ukrainian_and_Russian_human_rights_commissioners

              to_meet_in_January_—_Meduza⠀⇛

                   Ukrainian Human Rights Commissioner Dmytro Lubinets

                   plans to meet with his Russian counterpart, Tatyana

                   Moskalkova, sometime in January, he said on Monday.

            # ⚓ Meduza ☛ Ukrainian_Security_Service_suspects_Nabiullina_of

              financing_the_war_by_building_a_ruble_zone_in_annexed

              territories_—_Meduza⠀⇛

                   The Ukrainian Security Service announced in a press

                   release that is has collected evidence that Elvira

                   Nabiullina, head of the Central Bank of Russia, is

                   involved in financing “the aggressor country’s

                   military groups.”

            # ⚓ Meduza ☛ Ukrainian_missile_strike_kills_63_on_Russian_base

              in_Makiivka._The_latest._—_Meduza⠀⇛

                   The Center for Strategic Communications of the

                   Armed Forces of Ukraine reported on its Telegram

                   channel that, in the early hours of January 1, a

                   missile strike was carried out on a vocational

                   school in Makiivka, which is located in the

                   Russian-annexed part of the Donetsk region (the

                   “DNR”). The Center said that Russian draftees were

                   quartered in the school, and that the missile

                   strike killed around 400 and wounded another 300

                   people.

            # ⚓ Meduza ☛ Dozens_of_Russian_soldiers_killed_in_Ukrainian

              strike_in_Makiivka_—_Meduza⠀⇛

                   During its daily briefing, the Russian Defense

                   Ministry confirmed a Ukrainian Armed Forces rocket

                   attack on a Russian military deployment point in

                   Makiivka, in the annexed DNR region. According to

                   the agency, the strike killed over 60 Russian

                   soldiers.

            # ⚓ Telex (Hungary) ☛ From_preaching_peace_to_“sanction

              bombs”⠀⇛

            # ⚓ Common Dreams ☛ Ukrainian_Women_Prove_Resilient_in_the_Face

              of_War⠀⇛

                   The war in Ukraine is having growing negative

                   effects on women and girls’ health and well-being.

                   They encompass not only gender-based violence but

                   include all aspects of women’s and girls’ lives.

                   Access to basic services and life-saving sexual and

                   reproductive healthcare has been drastically

                   disrupted.

            # ⚓ Common Dreams ☛ The_Price_of_Morocco_Betraying_Palestine_by

              Normalizing_Israeli_Relations⠀⇛

                   Two years ago, Morocco and Israel signed the U.S.-

                   brokered “Joint Declaration,” thus officially

                   recognizing Israel and instating diplomatic ties.

                   Though other Arab countries had already done the

                   same, the Moroccan official recognition of

                   apartheid Israel was particularly devastating for

                   Palestinians.

            # ⚓ Meduza ☛ Russian_Defense_Ministry_confirms_strikes_on

              Druzhkivka_hockey_arena_—_Meduza⠀⇛

                   The Russian Ministry of Defense has acknowledged

                   the missile strike on Druzhkivka, a city in the

                   Russian-annexed Donetsk region of Ukraine.

            # ⚓ Meduza ☛ Ukrainian_General_Staff_says_500_Russian_troops

              were_killed_in_New_Year’s_Eve_strike_—_Meduza⠀⇛

                   On December 31, the Ukrainian military launched a

                   strike on Russian forces in Chulakivka, a Russian-

                   occupied village in the country’s Kherson region,

                   the Ukrainian General Staff reported on Tuesday.

                   Approximately 500 Russian soldiers were reportedly

                   killed or injured as a result of the attack.

            # ⚓ Counter Punch ☛ Diplomacy_For_Dealing_With_the_Problem_of

              North_Korea⠀⇛

                   The Biden administration inherited significant

                   bilateral problems with three nuclear weapons

                   states (Russia, China, and North Korea) as well as

                   Iran, which has mastered the nuclear fuel cycle.

                   The tensions with Russia and China are greater now

                   than they were two years ago, and thus far Biden’s

                   national security team has no apparent plans for

                   ameliorating tensions with Iran and North Korea.

                   Biden’s team seems to have thrown up its hands in

                   despair regarding Iran and North Korea, having

                   forgotten what diplomacy is all about.  Let’s start

                   with the North Korean problem, and address the

                   other issues in future columns.

                   The Biden administration believes that isolating

                   North Korea and using sanctions to apply pressure

                   is the best way to deal with Pyongyang and its

                   inscrutable leader, Kim Jong-un.  When President

                   Joe Biden was asked if he had a message for North

                   Korea, he abruptly replied “Hello. Period.”  There

                   is no recognition that increased U.S. military

                   maneuvers in the Indo-Pacific only led to increased

                   North Korean testing and Chinese military

                   exercises.  (In Europe, the United States has never

                   acknowledged that the expansion of the North

                   Atlantic Treaty Organization and the deployment of

                   Western forces in East Europe have contributed to

                   the current crisis with Russia.)

      o § Environment⠀➾

            # ⚓ Common Dreams ☛ ‘Absolute_Madness’:_Record-Shattering_Heat

              Dome_Hits_Europe⠀⇛

                   As Europe closed the books on its warmest year ever

                   recorded, an exceptionally potent winter heat dome

                   descended on much of the continent over the holiday

                   weekend, with thousands of daily and monthly high-

                   temperature records shattered from Spain to Russia.

            # ⚓ TruthOut ☛ College_Textbooks_Cover_the_Climate_Crisis_Less

              Than_They_Did_Before_2010⠀⇛

            # ⚓ Common Dreams ☛ 2022_Will_Be_Remembered_for_Its_Brutal

              Climate_Change_Impacts⠀⇛

                   The year 2022 was a tough year around the world in

                   terms of climate disaster, something that the just

                   exploded “bomb cyclone” seemed to punctuate with an

                   exclamation point as the storm crippled much of the

                   nation in a sub-zero deep freeze and led to the

                   death of at least 40 people in western New York.

                   Fortunately, we were spared the theatrics of

                   misleading statements and snowballs in the halls of

                   Congress as scientists explained how rapid warming

                   of the Arctic may have led to the major disruption

                   of the “polar vortex” allowing the dramatic escape

                   of winter Arctic air to wreak havoc far to the

                   south.

            # ⚓ Common Dreams ☛ 2023_Can_Be_the_Year_We_Save_the_Planet⠀⇛

                   During the period from Christmas Eve to New Year’s

                   Eve, Wisconsinites saw powerful evidence of the

                   instability of our devolving climate. A pre-

                   Christmas snowstorm, fierce winds, record cold,

                   temperatures in the 50s, rain, and melted-away

                   snow—it was a cacophony that could only be

                   attributed to climate change.

            # ⚓ Project Censored ☛ Climate_Change_and_the_Oil_Industry’s

              Obstructionist_Policies_–_The_Project_Censored_Show⠀⇛

            # ⚓ DeSmog ☛ Heard_of_“Net-Zero_Oil”_or_“Carbon_Negative”

              Bioenergy?_In_2023_You_Will⠀⇛

                   Last year, we chased ambitious stories all along

                   the climate spectrum. We investigated allegations

                   of workers exposed to radioactive oilfield waste,

                   reported from the frontlines of climate-fueled

                   extreme weather and climate migration, expanded our

                   coverage of the climate impact of agriculture,

                   followed the ongoing buildout of LNG, and sent a

                   team to COP27, among other things.

                   This year, we’ll continue chasing major climate

                   stories around the globe and exposing the people

                   and groups fueling denial and delay. Below, a

                   handful of DeSmog writers dive into the issues

                   they’ll be watching in 2023.

            # ⚓ Common Dreams ☛ Planning_Mass_Protest_at_Parliament,

              Extinction_Rebellion_Halts_Disruptive_Tactics⠀⇛

                   In preparation for a nonviolent mass direct action

                   planned for April that Extinction Rebellion says

                   will be “impossible” for policymakers to ignore,

                   the global climate movement’s United Kingdom arm on

                   Sunday announced a resolution for the new year:

                   temporarily ending its headline-grabbing,

                   disruptive tactics including gluing protesters to

                   government buildings and rush-hour trains and

                   blocking traffic to draw attention to the climate

                   crisis.

            # § Energy/Transportation⠀➾

                  # ⚓ Common Dreams ☛ Analysis_Shows_US_Wind_and_Solar

                    Could_Outpace_Coal_and_Nuclear_Power_in_2023⠀⇛

                         A new analysis of federal data shows that

                         wind and solar alone could generate more

                         electricity in the United States than nuclear

                         and coal over the coming year, critical

                         progress toward reducing the country’s

                         reliance on dirty energy.

                  # ⚓ [Repeat] Positech Games ☛ 2022:_A_year_spent_trying

                    to_build_a_solar_farm_–_Cliffski’s_Blog⠀⇛

                         The year is almost over, so I thought I would

                         recap. For those unaware, as a side-project

                         (yes its a big side project), I started an

                         energy company called Positech Energy, and

                         decided to build a solar farm. This is an

                         epic tale of frustration and expense, that

                         seems to be endless,, but here is what

                         happened during 2022 for this project!

                         The first blog update of the year was this

                         one, where I talked about the solar panels. I

                         ordered them way in advance, before we

                         actually had planning permission, because I

                         was hoping to slap them in during summer of

                         this year and start generating actual income.

                         This proved to be both a mistake, and a

                         genius move, depending on your POV.

                         This was during a time of climate emergency,

                         a global supply chain collapse, and pandemic

                         shutdowns, so it was obvious that lead times

                         on panels would be long, so I ordered them

                         anyway. That means I ended up with over 3,000

                         410 watt QCells solar panels. They did show

                         up! But by the time we got them… we had no

                         planning permission because it got refused.

                         Oh dear…

            # § Wildlife/Nature⠀➾

                  # ⚓ The Revelator ☛ Species_to_Watch_in_2023⠀⇛

                  # ⚓ Common Dreams ☛ ‘Shameful_and_Heartbreaking’:_Largest

                    Wolf_Cull_in_Modern_History_Underway_in_Sweden⠀⇛

                         Wildlife defenders in Sweden and beyond

                         decried the start on Monday of what’s being

                         called the largest wolf cull in modern times,

                         arguing that killing nearly a fifth of the

                         country’s critically endangered lupine

                         population could have grave consequences for

                         biodiversity.

            # § Overpopulation⠀➾

                  # ⚓ Sabine Hossenfelder ☛ Human_Extinction:_How_High_is

                    the_Risk?⠀⇛

      o § Finance⠀➾

            # ⚓ Scheerpost ☛ In_Many_Child_Welfare_Cases,_Most_of_Your

              Constitutional_Rights_Don’t_Apply⠀⇛

                   The child welfare system rarely offers the same

                   rights as the criminal justice system, leaving many

                   families facing permanent separation without due

                   process protections.

            # ⚓ TruthOut ☛ We_Can’t_Combat_Inequality_Without_First_Valuing

              Care_Work⠀⇛

            # ⚓ Common Dreams ☛ After_Repeated_Interest_Rate_Hikes,_IMF

              Warns_Third_of_World_Will_Suffer_Recession_in_2023⠀⇛

                   After numerous warnings in recent months from

                   economists and economic justice advocates alike

                   that repeated interest rate hikes could help send

                   the world into a recession, the International

                   Monetary Fund is warning that a third of the global

                   economy will likely face a downturn in 2023.

            # ⚓ Scheerpost ☛ After_Repeated_Interest_Rate_Hikes,_IMF_Warns

              a_Third_of_World_Will_Suffer_Recession_in_2023⠀⇛

                   With the world’s three largest economies slowing

                   down, said the IMF managing director, economic

                   conditions will “feel like recession for hundreds

                   of millions of people” this year.

            # ⚓ Common Dreams ☛ ‘Union-Busting_on_Day_1′:_House_GOP_Aims_to

              Stop_Congressional_Staff_From_Organizing⠀⇛

                   Labor organizers on Capitol Hill were undeterred

                   Monday despite U.S. House Republicans’ plans to try

                   to undo progress made last year after Democrats

                   passed a resolution enabling congressional staffers

                   to form unions.

      o § AstroTurf/Lobbying/Politics⠀➾

            # ⚓ Counter Punch ☛ On_the_propagation_of_the_“Official

              Narrative”⠀⇛

                   There’s so much whining about “fake news” being

                   propagated on “social media.” Corporate media is

                   all a-bleat about social media because their

                   viewership is plummeting. No sensible, rational

                   person bothers tuning into the tripe they’re

                   spewing. As if the corporate media has ever been

                   about “real news,” instead of being massive

                   corporate-funded propaganda organs pumping out the

                   “official narrative.” But social media, with all

                   its programmable algorithm bots, is a much more

                   insidious propagator of the “official narrative”

                   than even its corporate media counterparts. A

                   conscientious activist might attempt to communicate

                   anything that contradicts “official narrative,” and

                   the tireless algorithm bots immediately sniff out

                   any verboten trigger words and “Voila! that

                   person’s readership is throttled back to zero.

                   I finally quit Facebook a few months ago on account

                   of its utterly blatant censorship. Facebook

                   especially will not tolerate communications which

                   contradict the “official narrative” on COVID, 9/11,

                   Palestine, the Ukraine, NATO aggression, nuclear

                   brinkmanship and numerous other issues. Even photos

                   of the naked Eve Babitz playing chess don’t pass

                   muster with Facebooks message-meisters. As soon as

                   the word “COVID” or any other of these subjects

                   shows up in a post and the bots start crawling all

                   over it, and in addition to throttling back a

                   person’s readership, they will add a link to the

                   post, steering those suffering from “vaccine

                   hesitancy” and other sceptics to the “official

                   narrative.” Repeated contradictions of the

                   narrative will land you in “Facebook jail,” and

                   ultimately, expulsion.

            # ⚓ Common Dreams ☛ ‘This_Must_Be_Stopped’:_House_Republicans

              Plan_to_Gut_Ethics_Office⠀⇛

                   Government watchdog groups on Monday blasted plans

                   by U.S. House Republicans to gut an independent,

                   nonpartisan ethics office that was established 15

                   years ago to review allegations of misconduct

                   against members of the chamber and their staffers.

            # ⚓ Scheerpost ☛ Brazil’s_President_Lula_is_Back—and_Bolsonaro

              Fled_to_Florida⠀⇛

                   Lula da Silva returned as Brazil’s president,

                   calling for fighting poverty and hunger, re-

                   industrializing, strengthening the BRICS, and

                   deepening Latin American integration. Far-right

                   leader Jair Bolsonaro fled to Florida, fearing

                   legal consequences for his corruption.

            # ⚓ TruthOut ☛ Brazil_Celebrates_Lula’s_Inauguration_and_End_of

              Right-Wing_Bolsonaro_Reign⠀⇛

            # ⚓ TruthOut ☛ Arizona_Governor-Elect_Taps_Critic_of_Racism_in

              Child_Welfare_to_Lead_CPS_Agency⠀⇛

            # ⚓ The Nation ☛ How_Democrats_Beat_Arizona’s_Extremist

              Republicans⠀⇛

                   The date was October 22, 2022, two and a half weeks

                   before the pivotal midterm elections. In

                   northeastern Arizona, a windstorm was kicking up

                   fine particles of sand from the desert ground,

                   filling the air with an unpleasant mustard-colored

                   fog. Out on a few scrubby acres of land north of

                   the remote town of Cameron, at the western edge of

                   the Navajo Nation, a lunch held to honor local

                   Navajo community activists and Democratic Party

                   organizers had almost been upended by the winds.

                   The stakes supporting the canopies that provided

                   shade for the tables had to be held down by guests,

                   and the paper plates and bowls meant for the soups,

                   fry bread, and chilis that had been cooked up in

                   large metal vats atop giant propane burners blew

                   east across the land, bounding over the asphalt of

                   Highway 89 toward the deep-orange rock formations

                   that locals called simply “the Navajo.”

            # ⚓ TruthOut ☛ Ableism_Enables_All_Forms_of_Inequity_and

              Hampers_All_Liberation_Efforts⠀⇛

            # ⚓ Counter Punch ☛ The_New_York_Times_is_Diminishing_Itself⠀⇛

                   Give the New York Times its due. Its teams of

                   reporters produce more investigations of wrongdoing

                   by entrenched vested interests than does the entire

                   recess-rich, Tuesday-to-Thursday U.S. Congress with

                   all its Committees and Subcommittees.

                   The Times should promptly publish some of its

                   exposes as small books. Their on-the-ground series

                   on the burning Amazon Forest and their series on

                   expanding sports gambling corruption and addiction

                   exemplify great reporting.

                   However, in the last decade, the Times has freaked

                   out over the decline in print subscriptions, loss

                   of advertisements and the rise of the Internet with

                   its many aliterate users. Though a little late,

                   the Times now has responded with a thriving

                   Internet presence of about 10 million national and

                   worldwide online subscribers, in addition to new

                   businesses offering information and travel

                   services. Unfortunately, their changes to

                   the print edition – which produces important

                   content – have exhibited an accelerating

                   stupefaction.

            # ⚓ Counter Punch ☛ George_Santos:_the_Perfect_Résumé⠀⇛

                   The true résumé is rarely honest.  The entire

                   document is based on a stream of twisting

                   embellishments, fanciful achievements, and, in some

                   cases, pure fiction.  Read it, as you would, an

                   autobiography, which could only interest audiences

                   by what it omits, what it underlines, and what it

                   pretends to celebrate.  The wrinkles vanish, the

                   wounding sores patched; the skin moisturised, the

                   face lifted by delicate textual surgery.  Its

                   writing, and its acceptance by any relevant

                   audience, is a mutual conceit, a pact against

                   veracity.

                   The number of individuals who make use of this

                   mechanism is embarrassing.   Academics speak of

                   projects they never undertook nor finished, and

                   degrees doctored rather than earned.  In a good

                   number of cases, diplomas and awards mentioned are

                   not all they seem – the global market for

                   purchasable PhDs is healthy and thriving.  Some

                   claim to have legal qualifications they lack, and

                   others fantasise about unattained military honours

                   and tours of duty they never completed.

            # ⚓ Counter Punch ☛ Is_Democracy_The_Big_Lie?⠀⇛

                   “I hate to break it to you, but there is no big

                   lie. There is no system. The universe is

                   indifferent.” —Donald Draper

                   I very much enjoyed Anthony Dimaggio’s piece on

                   January 6th that ran recently here on Counterpunch.

                   I agree wholeheartedly that the insurrection was

                   driven by white supremacy primarily and of course,

                   he has the numbers to back it up.

            # ⚓ Telex (Hungary) ☛ A_former_Esterházy-estate_revived_by_a

              Hungarian_family⠀⇛

            # § Misinformation/Disinformation/Propaganda⠀➾

                  # ⚓ [Repeat] Mandiant ☛ Information_Operations_Targeting

                    2022_U.S._Midterm_Elections_Include_Trolling,

                    Narratives_Surrounding_Specific_Races,_Politicians⠀⇛

                         In the lead up to, during, and following the

                         2022 U.S. midterm elections, Mandiant

                         identified information operations activity

                         from various foreign state-aligned campaigns,

                         including those we assessed to be operating

                         in the interests of Russia, the People’s

                         Republic of China (PRC), and Iran. U.S.

                         midterm elections present a more diffuse set

                         of potential targets than a presidential

                         election, and we observed information

                         operations employing narrative strategies

                         shaped by this dynamic (Figure 1). These

                         operations differ in various ways; however,

                         we note that they all appeared to be somewhat

                         limited in the level of effort dedicated to

                         election-related messaging and/or in

                         potential reach to mainstream audiences based

                         on observed activity, though we note that

                         such operations’ impact is difficult to

                         measure. While the activity identified in

                         this report does not represent a

                         comprehensive accounting of information

                         operations targeting the midterms, we note

                         some broad observations based on newly

                         identified and previously reported operations

                         contextualized within the wider view of

                         relevant information operations activity

                         observed throughout this elections cycle:

                         [...]

      o § Censorship/Free Speech⠀➾

            # ⚓ RFA ☛ In_North_Korea,_speaking_in_Southern_accent_gets_you

              sent_to_the_coal_mines⠀⇛

                   In the past, those caught doing so were required to

                   write a statement of self-criticism promising that

                   they would never again use the accent, said the

                   resident, who declined to be identified so as to

                   speak freely.

                   But lately, authorities have “ordered strong

                   countermeasures, saying that the phenomenon of

                   using the South Korean accent is a

                   counterrevolutionary crime that can disintegrate

                   our internal affairs,” he said.

            # ⚓ Scheerpost ☛ Western_Governments_Keep_Assigning_Themselves

              the_Authority_to_Regulate_Online_Speech⠀⇛

                   Depending on what political echo chamber you’ve

                   been viewing it from, the ongoing release of

                   information about the inner workings of pre-Musk

                   Twitter known as “the Twitter Files” might look

                   like the bombshell news story of the century, or it

                   might look like a complete nothingburger whose

                   importance is being […]

            # ⚓ Counter Punch ☛ Booked_Up:_Send_These_Books_(the_Best_of

              2022)_to_a_Library_in_Texas⠀⇛

                   A few weeks ago the writer April Henry unearthed a

                   sobering factoid buried in the tonnage of documents

                   amassed in the case that blocked the merger of two

                   giant publishing houses (Penguin and Simon and

                   Schuster): over the last few years half of the

                   newly published trade titles sold fewer than 12

                   copies. Most of them, I assume, were books about

                   Donald Trump. Every political pundit seems to have

                   written one. Some have written more than one.

                   It’s hard to comprehend the mind that craves these

                   books–not Trump’s MAGA-minions, surely. They seem

                   content to snap up his super-hero NFTs at $99 a

                   pop. Most likely they’re marketed at liberals,

                   people who couldn’t wait for him to leave the scene

                   and now can’t let him go.

      o § Civil Rights/Policing⠀➾

            # ⚓ The Verge ☛ Tesla_broke_labor_laws_by_telling_workers_not

              to_discuss_pay,_NLRB_claims⠀⇛

                   The complaint goes on to accuse Tesla of

                   instructing employees not to discuss the hiring,

                   suspension, or termination of employees with

                   others. These incidents occurred from December 2021

                   to January 2022, the complaint alleges, and

                   violates laws that prevent companies from

                   “interfering with, restraining and coercing

                   employees in the exercise of rights guaranteed” by

                   the NLRB Act. In a statement to Bloomberg, NLRB

                   spokesperson Kayla Blado says a judge will hear the

                   arguments laid out by the complaint during a

                   February hearing.

            # ⚓ EFF ☛ Global_Cybercrime_and_Government_Access_to_User_Data

              Across_Borders:_2022_in_Review⠀⇛

                   There’s a lot at stake—the proposed UN cybercrime

                   treaty has the potential to rewrite criminal laws

                   around the world, adding new offenses and creating

                   new police powers for both domestic and

                   international investigations, and implicating the

                   rights of billions of people worldwide.

                   Our push for human rights safeguards in the UN

                   treaty follows a campaign since 2013 to strengthen

                   human rights protections in government

                   investigative powers. In 2017 that effort led us to

                   advocate for changes (through submissions and

                   testimony) in the now-approved Council of Europe’s

                   Second Additional Protocol to the Budapest

                   Cybercrime Convention. The Protocol is another

                   instrument, approved on May 2022, expanding cross-

                   border access to potential evidence in criminal

                   investigations.

                   We raised concerns that the Protocol not only fails

                   to require adequate oversight, but even creates

                   government powers that bypass existing

                   accountability mechanisms. Unfortunately, our core

                   concerns about weak privacy standards in the

                   Protocol were not addressed, and it was approved by

                   Member States at the Council of Europe without

                   robust safeguards. Existing signatories of the

                   Budapest Convention have been invited since May

                   2022 to sign the new Protocol; the United States

                   and 29 other countries have already done so. Next,

                   countries will have to implement its provisions,

                   and many of those countries may require reforms in

                   their domestic criminal law. The treaty will

                   finally enter into force once five countries have

                   ratified it.

            # ⚓ The Nation ☛ Giorgia_Meloni’s_Bootstrap_Ideology⠀⇛

                   Rome—As soon as it took form in late October,

                   Italian Prime Minister Giorgia Meloni’s government

                   declared its intent by giving key ministries more

                   ideologically suitable names. An anti-abortionist

                   was appointed to the role previously known as

                   “Minister for Equal Opportunities and Families”—but

                   now the words “and Birthrates” were appended to her

                   title, in the name of boosting the number of

                   Italian newborns. Similarly, the economic

                   development brief was renamed “Minister of

                   Businesses and Made in Italy,” referring to an

                   effort to keep production home-grown.

            # ⚓ Site36 ☛ Sea_rescue:_Italy_is_breaking_international_law⠀⇛

                   Captains of private sea rescue ships are supposed

                   to question rescued persons about their wish for

                   asylum and ignore further emergencies. The United

                   Nations and a new Bundestag report criticise these

                   new Italian rules.

            # ⚓ Scheerpost ☛ Vivienne_Westwood:_Activism_and_the_Godmother

              of_Punk⠀⇛

                   There was the punk scene, Malcolm McLaren, their

                   racy clothes shop at 430 King’s Road that started

                   out as Let it Rock, the creation of a look, and the

                   gathering of the earth rumbling Sex Pistols.  In

                   fact, the late Dame Vivienne Westwood was already a

                   proven stirrer, suggesting that […]

            # ⚓ Scheerpost ☛ Chris_Hedges:_2023_Book_TV_Interview⠀⇛

                   Chris Hedges joins Book TV for an interview and

                   live question call-in on C-SPAN 2.

            # ⚓ Scheerpost ☛ Let_2023_Be_the_Year_of_Dismantling

              Incarceration⠀⇛

                   Maya Schenwar asked organizers working to dismantle

                   incarceration what is giving them hope for 2023.

                   Here’s what they shared.

            # ⚓ Common Dreams ☛ Freedom:_Challenging_Domination_or_License

              to_Dominate?⠀⇛

                   When the people on the streets in Iran use the

                   slogan “Woman, Life, Freedom,” the freedom they

                   refer to is freedom from domination. Iranians are

                   living under a regime that limits what they can

                   say, how they dress, and how they may gather and

                   organize. Their government is imprisoning,

                   torturing, and killing people who are challenging

                   domination and demanding freedom.

            # ⚓ Hackaday ☛ Wearable_SkoBots_Full_Of_STEAM_And_Vanishing

              Indigenous_Languages⠀⇛

                   [Danielle Boyer] is Ojibwe: Sault Ste Marie Tribe

                   and passionate about preserving vanishing

                   indigenous languages. She’s invented a shoulder-

                   worn talking companion, called a SkoBot, to teach

                   STEAM to children through building robots

                   programmed with indigenous language lessons and

                   founded the STEAM Connection to give them away.

      o § Internet Policy/Net Neutrality⠀➾

            # ⚓ Techdirt ☛ FCC’s_Attempt_To_Finally_Map_Broadband_Continues

              To_Be_A_Hot_Mess⠀⇛

                   We’ve noted for decades how, despite all the

                   political lip service paid toward “bridging the

                   digital divide,” the U.S. doesn’t actually have any

                   idea where broadband is or isn’t available. The

                   FCC’s past broadband maps, which cost $350 million

                   to develop, have long been accused of all but

                   hallucinating competitors, making up available

                   speeds, and excluding a key metric of

                   competitiveness: price.

            # ⚓ Internet Freedom Foundation ☛ First_Read:_Draft_amendments

              proposed_to_the_IT_Rules,_2021_in_relation_to_online_gaming⠀⇛

                   The Information Technology (Intermediary Guidelines

                   and Digital Media Ethics Code) Rules, 2021 [“IT

                   Rules, 2021”], initially notified in February 2021,

                   extended overbroad and stricter government control

                   over social media platforms, digital news media

                   platforms and on-demand video streaming platforms.

                   These Rules were contested and criticised by

                   several experts, civil society, digital rights

                   groups, industry bodies, technology companies,

                   technical groups and members of the press since its

                   inception, primarily for introducing unreasonable

                   restrictions on online free speech and user rights.

                   Recognising the threat posed by Part III of the IT

                   Rules, 2021, the Bombay High Court ordered a stay

                   on the operative provisions of Part III, in August

                   2021. In September 2021, the Madras High Court

                   agreed that the IT Rules, 2021 may threaten the

                   independence of the media, and also that “Article

                   19 (1) (a) of the Constitution may be infringed in

                   how the Rules may be coercively applied to

                   intermediaries.”. A transfer petition has been

                   filed in the Supreme Court, and the Supreme Court

                   is considering whether to club all the various

                   challenges and hear them together, though the stay

                   orders issued by the High Courts against the

                   operation of the IT Rules, 2021 have not been

                   disturbed.

                   Instead of curing deficiencies noted by courts, the

                   Union Government notified the Information

                   Technology (Intermediary Guidelines and Digital

                   Media Ethics Code) Amendment Rules, 2022

                   (hereinafter, “IT Amendment Rules, 2022”). One such

                   notable provision was the establishment of a

                   Grievance Appellate Committee (“GAC”), which is

                   essentially a government censorship body for social

                   media that will make bureaucrats arbiters of our

                   online free speech.

      o § Digital Restrictions (DRM)⠀➾

            # ⚓ [Old] Gabriel Sieben ☛ The_dangers_of_Microsoft_Pluton_

              (updated)⠀⇛

                   In upcoming Intel, Qualcomm, and AMD processors,

                   there is going to be a new chip, built-in to the

                   CPU/SoC silicon die, co-developed by Microsoft and

                   AMD called the Pluton. Originally developed for the

                   Xbox One as well as the Azure Sphere, the Pluton is

                   a new security (cynical reader: DRM) chip that will

                   soon be included in all new Windows PCs, and is

                   already shipping in mobile Ryzen 6000 chips.

                   This new chip was announced by Microsoft in 2020,

                   however details of what it was actually capable of,

                   and what it actually means for the Windows

                   ecosystem were kept frustratingly vague. Now with

                   Pluton rolling out in some AMD chips, it is

                   possible to put together a cohesive story of what

                   Pluton can do from several disparate sources.

            # ⚓ CBC ☛ The_movie_rental_store_lives_—_and_it’s_not_going

              anywhere⠀⇛

                   Thompson said it’s that personal touch that has

                   people coming back. That, and not everyone enjoys

                   paying for multiple subscription services that are

                   going up in cost.

                   There’s also a fair bit of hustle involved.

                   Thompson works with a distributor to stock his

                   shelves with the latest or rare releases — the key

                   to keeping up with the competition, he said.

      o § Monopolies⠀➾

            # § Copyrights⠀➾

                  # ⚓ Torrent Freak ☛ SoccerStreams_Throws_in_the_Towel

                    Following_U.S._Domain_Seizures⠀⇛

                         Popular sports streaming site SoccerStreams

                         has thrown in the towel and shut down. The

                         operators of the site, which has its roots in

                         a defunct Reddit community, don’t provide any

                         context or further details. However, it

                         wouldn’t be a surprise if the U.S.

                         Government’s recent domain name seizures

                         played a key role in this decision.

                  # ⚓ Torrent Freak ☛ Piracy_Lawsuit_Will_Be_Dismissed

                    Unless_Copyright_Troll_Fixes_Corporate_Suspension⠀⇛

                         Adult entertainment company Malibu Media

                         faces yet another setback. A Texas federal

                         court says it will dismiss the company’s

                         lawsuit against an alleged BitTorrent pirate

                         if its corporate suspension isn’t fixed by

                         January 21. The underlying ‘tax’ issue has

                         plagued the company for more than a year and

                         still hasn’t been resolved.

                  # ⚓ [Old] Los Angeles Times ☛ Republicans_took_away

                    Disney’s_special_status_in_Florida._Now_they’re_gunning

                    for_Mickey_himself⠀⇛

                         >A group of Republican lawmakers has vowed to

                         oppose any effort to extend the protection —

                         already extended twice since the original

                         expiration date in 1984 — as a way to punish

                         Disney, which some conservatives have cast as

                         an outsize cultural force with a progressive

                         agenda they have recently taken to describing

                         as dangerous.

                         On Tuesday, Sen. Josh Hawley (R-Mo.) went a

                         step further, saying he plans to introduce

                         legislation to strip Disney of the copyright

                         protections this year. “No more handouts for

                         woke corporations,” Hawley, also a

                         constitutional lawyer, wrote on Twitter.

                         Disney representatives have declined to

                         comment on the subject.

                  # ⚓ [Old] Reason ☛ In_Threatening_Disney_Over_Copyrights,

                    House_Republicans_Are_Right_for_the_Wrong_Reasons⠀⇛

                         Punishing a company for political speech is

                         wrong and arguably an abuse of power.

                         Instead, Republicans should allow the

                         copyright to lapse because it’s simply the

                         right thing to do, specifically when

                         considering the constitutional purpose of

                         copyright law.

                  # ⚓ [Old] uni Nova Southeastern ☛ The_Shocking_Truth

                    Behind_the_Passage_of_the_Sonny_Bono_Copyright

                    Extension!_(Is_That_It’s_Not_Really_Shocking)⠀⇛

                         So what’s truly going on here? Let’s look at

                         copyright terms historically, and take Mickey

                         out of the equation.

                         The first copyright statute gave a length of

                         protection of only 14 years. 28 In 1790,

                         copyright duration was doubled to 14 years,

                         renewable for another 14 years, for 28 years

                         total. 29 In 1831, copyright duration was

                         increased by another 50%, 30 to 28 years plus

                         14 years renewal. In 1909, copyright duration

                         was increased by another 50% to 28 years plus

                         another 28 years for renewal. 31 In 1909,

                         Walt Disney was 8 years old. 32 He had

                         nothing to do with the term of copyright

                         quadrupling from 14 years to 56 years.

                         Obviously, the members of Congress found

                         sound reasons to do so.

                  # ⚓ Hackaday ☛ What’s_New,_From_1927⠀⇛

                         Here we are at the start of the new year,

                         which for the Internet Archive means a note

                         about what has just entered the public

                         domain. 1927’s finest previously copyrighted

                         materials are now up for grabs in the public

                         domain, which means there’s a treasure trove

                         of films, books, and music to freely copy and

                         remix.

                  # ⚓ Public Domain Review ☛ *The_Procession_of_the_Months*

                    (ca._1889)_–_The_Public_Domain_Review⠀⇛

                         While others celebrated New Year’s Eve,

                         Walter Crane (1845–1915) mourned December’s

                         passing. Honeymooning in Rome as 1872 drew to

                         a close, the young artist found himself

                         contemplating Shelley’s Dirge for the Year

                         (1821): “January gray is here, / Like a

                         sexton by her grave; / February bears the

                         bier, / March with grief doth howl and rave”.

                         This striking image of a personified calendar

                         inspired Crane’s tempera and gouache The

                         Death of the Year, in which a procession of

                         Months entomb the bier of yesteryear in “a

                         pillared porch of a temple — the house of

                         time.” Shelley aside, Crane was fresh from a

                         trip to the Uffizi, where he had feasted on

                         Spring (ca. 1480) by Botticelli, whose

                         paintings, remembered Crane, had not yet been

                         “re-discovered by the critics” and were “more

                         or less scattered, and sometimes ‘skyed’ in

                         less important rooms”. Crane may have found

                         inspiration for his funeral scene in the

                         ensemble of Spring and perhaps also saw, in

                         Botticelli’s highly hung masterpieces, an

                         artist equally underlooked. Infatuated with

                         the pre-Raphaelites, Crane and his circle had

                         been panned by London critics as of a mode

                         “mystico-medieval” and “loathly”, with Crane

                         in particular being a “academician of the

                         nursery”.

                         [...]

                         Created sometime around 1889 with his

                         daughter Beatrice (1873–1935), The Procession

                         of the Months synthesizes Walter’s two

                         earlier treatments of the calendrical theme,

                         reflecting age across the gutter between text

                         and image. As with their contemporaneous

                         collaboration Flora’s Feast: A Masque of

                         Flowers (1889), Walter illustrated the verse

                         that Beatrice wrote. In the case of The

                         Procession of the Months, it seems the images

                         came later, for the preface notes the poems’

                         creation when she was “quite a child”,

                         demonstrating how “each Season, with its

                         ever-changing beauties, was fully realized by

                         the child’s quick, artistic imagination.” In

                         the case of Beatrice Crane, her imagination

                         was especially quick, with Oscar Wilde

                         publishing her poem “Legend of the Blush

                         Roses” (and her father’s accompanying

                         illustration) when she was just fifteen. In

                         all of their collaborations, Walter seems to

                         follow his daughter’s lead: “he does not

                         attract unnecessary attention by telling part

                         of the story through his picture”, writes

                         Andrea Korda, “but instead allows Beatrice’s

                         words to make meaning on their own.”

                  # ⚓ Walled Culture ☛ SoundCloud’s_‘Fan_Powered

                    Royalties’:_a_halfway_house_towards_the_true_fans

                    approach_–_Walled_Culture⠀⇛

                         Regular readers of this blog will know that

                         Walled Culture is a fan of the true fans

                         concept – the idea that creators can be

                         supported directly and effectively by the

                         people who love their work. The true fans

                         model has been up and running for some years

                         now, although it hasn’t generally been framed

                         in those terms. And yet Patreon and

                         Kickstarter are based on the same approach:

                         that people support artists directly, rather

                         than via intermediaries such as publishers,

                         recording companies or film studios, that

                         take their own hefty cut of the proceeds.

                         In the world of music streaming, there’s a

                         kind of halfway house between today’s system

                         and the true fans approach. Currently, most

                         artists are paid according what proportion of

                         a platform’s total downloads their own tracks

                         represent, what is generally called “pro

                         rata”. That means creators with a small but

                         loyal fan base receive relatively little. An

                         alternative approach sees individual

                         subscriptions to streaming services split

                         amongst only those artists that the

                         subscriber listened to, rather than added to

                         the overall pot of money for all of them. As

                         a result, loyal fans of a particular

                         musician, who play his/her music repeatedly,

                         will ensure that far more of their

                         subscription payments go to that musician,

                         and not the big names, who currently benefit

                         from the pro rata approach. That’s not the

                         full true fans system, but goes some way to

                         letting people fund the artists they listen

to.

* § Gemini* and Gopher⠀➾

      o § Personal⠀➾

            # ⚓ Music_discovery⠀⇛

                   I love listening to music from the 60s, 70s, 80s &

                   90s, there are just so many classic from these

                   years with many fantastic stories behind the

                   artists and bands.

                   However in more recent years it seems harder and

                   harder to find good, or new and interesting music.

                   Like many things in our digital lives, we are

                   pushed by big budget advertising towards the latest

                   artist with a one hit wonder.

                   So how do you discover and be exposed to different

                   music styles or artists?

                   Often I let myself get taken down the YouTube

                   recommendation path from a known artist or song,

                   however the quantity and relevance of adverts on

                   YouTube is just terrible these days and a big turn

                   off from this approach.

            # ⚓ Productivity_😠⠀⇛

                   This seems like a good way to think. Uh-oh! Is that

                   my second new year resolution!?

            # ⚓ 🔤SpellBinding:_EFHUNPL_Wordo:_INLAY⠀⇛

            # ⚓ Music_Spotlight:_My_Top_Album_2022⠀⇛

                   The hype is real. I only recently wrote last years,

                   so I bet your hype is nonexistent but for me I was

                   writing that knowing full well there were some

                   bangers waiting to be unleashed in this year end

                   review!

            # ⚓ 2022_Week_51/52:_Thoughts_and_Photos⠀⇛

                   At the end of each year since 2020, my wife and I

                   boot up “Animal Crossing: New Horizons” for

                   Nintendo Switch at least once. The game, a social

                   simulator set in an island village inhabited by

                   anthropomorphic animals, features a New Year’s Eve

                   celebration party, which can be attended in game by

                   the player’s real-life friends. Over New Year’s

                   Eve, we visited a friend’s house to observe the new

                   year in our timezone. We then returned home and

                   into Animal Crossing to join my sister, who lives

                   in a timezone two hours behind us, to celebrate the

                   new year for her. It was a long evening, but it was

                   worth it.

      o § Music⠀➾

            # ⚓ Music_Spotlight:_Awesome_EPs⠀⇛

                   It isn’t too uncommon for me to stumble across an

                   EP that I put on rotation more or just as much as

                   the full lengths the band releases. I was listening

                   to one such EP tonight while showering and decided

                   to try and catalog a few that really stuck out to

                   me and maybe you’ll find worth checking out.

      o § Technical⠀➾

            # ⚓ Retrocomputing,_a_little⠀⇛

                   I’ve been doing a little bit of retrocomputing over

                   the holidays. I’m writing this post in Netscape

                   3.01, running on MacOS 8.1. In an emulator, not on

                   vintage hardware.

                   Besides the problems you’d expect it to have with

                   the modern web (JavaScript and CSS), it also

                   doesn’t handle modern TLS, so I’m having to run it

                   through a TLS-terminating proxy on the ThinkPad

                   that’s running the emulator.

            # ⚓ Tea_Tea_Deluxe_1.2.4_—_Bugfixes⠀⇛

                   Holy cow, I can’t believe I haven’t posted anything

                   since before Christmas.

                   Anyway, I found a couple of bugs in my OpenTTD mod,

                   namely that the custom goods carriages cost £0 a

                   piece, and both tea leaves and tea boxes were

                   weightless.

            # § Programming⠀➾

                  # ⚓ Long_Rambling_about_Artist_Reaction_to_AI⠀⇛

                         Ok, this is going to be an long rambling

                         post. But I feel it has to be done. I see too

                         much artist talking like they know how AI

                         works. They talk about how AI is “stealing”

                         their work, creating what looks like art but

                         without any life in it. I DO agree that the

                         current way we use AI will become a problem

                         down the road. But better understanding of

                         how AI works, why AI works and the ideology

                         behind the field will make communication

                         between the two communities much easier.

                         First of all. I am no where near SOTA. I was

                         in the field doing neuromorphic stuff for a

                         while then some FPGA accelerators. Heavily on

                         the computation side. But in the process

                         learned enough I feel I’m at least ok with

                         explaining to undergrads. And I hope I don’t

                         make mistakes. If there is, let me know.

                  # ⚓ It_still_surprises_me_what_some_find_difficult_to

                    do⠀⇛

                         And he goes on to implement a scheme that

                         adds complexity to the configuration of the

                         server, plus the issues with scheduling a

                         program to scan the logfiles for Gemini

                         requests. I’ve done the logfile scanning for

                         “Project: Wolowizard [4]” and “Project:

                         Lumbergh [5]” and it was not any easy thing

                         to set up. Okay, in my case, it was checking

                         the logs in real time to see if messages got

                         logged as part of testing, but that aside,

                         checking the logs for requests might not be

                         straightforward. In this case, it soulds like

                         he has easy access to the log files—but that

                         is not always the case. There have been

                         plenty of systems I’ve come across where

                         normal users just don’t have access to the

                         logs (and I find it annoying, but that’s a

                         rant for another time). Then there’s

                         scheduling a script to run at a regular

                         schedule. In the past, this would be `cron`

                         and the bizarre syntax it uses, but I’m not

                         sure what the new hipster Linux `systemd` way

                         is these days (which itself is a whole bag of

                         worms).

=> =============================================================================

Gemini_(Primer) links can be opened using Gemini_software. It’s like the

World Wide Web but a lot lighter.

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