𝕿𝖊𝖈𝖍𝖗𝖎𝖌𝖍𝖙𝖘 Bulletin for Tuesday, February 13, 2024
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Generated Wed 14 Feb 02:49:20 GMT 2024
Created by Dr. Roy Schestowitz (𝚛𝚘𝚢 (at) 𝚜𝚌𝚑𝚎𝚜𝚝𝚘𝚠𝚒𝚝𝚣 (dot) 𝚌𝚘𝚖)
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Gemini index for the day: gemini://gemini.techrights.org/2024/02/13/


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

⦿ Techrights  -  Anecdotal Signs That Social Control Media (as a Concept) is Waning and Losing Popularity

⦿ Techrights  -  Internal EPO Presentation Shows How Patent Examiners Are Subjected to Pressure and Threats of Firing/Demotion If They Don't Grant 'Enough' Monopolies

⦿ Techrights  -  IRC Proceedings: Monday, February 12, 2024

⦿ Techrights  -  [Meme] Repeating American Mistakes by Treating Patent Applicants Like 'Clients' or 'Customers'

⦿ Techrights  -  Over at Tux Machines...

⦿ Techrights  -  Union Syndicale Fédérale on Salaries/Remuneration Erosion

 ䷼ Bulletin articles (as HTML) to comment on (requires login):
https://news.techrights.org/n/2024/02/13/Anecdotal_Signs_That_Social_Control_Media_as_a_Concept_is_Wanin.shtml
https://news.techrights.org/n/2024/02/13/Internal_EPO_Presentation_Shows_How_Patent_Examiners_Are_Subjec.shtml
https://news.techrights.org/n/2024/02/13/IRC_Proceedings_Monday_February_12_2024.shtml
https://news.techrights.org/n/2024/02/13/Meme_Repeating_American_Mistakes_by_Treating_Patent_Applicants_.shtml
https://news.techrights.org/n/2024/02/13/Over_at_Tux_Machines.shtml
https://news.techrights.org/n/2024/02/13/Union_Syndicale_Federale_on_Salaries_Remuneration_Erosion.shtml

 ䷞ Followed by Daily Links (assorted news picks curated and categorised):
https://news.techrights.org/n/2024/02/13/Gemini_Links_13_02_2024_Eulogy_for_Smartphones.shtml
https://news.techrights.org/n/2024/02/13/Gemini_Links_14_02_2024_HamsterCMS_Time_Capsules_and_Trust.shtml
https://news.techrights.org/n/2024/02/13/Links_13_02_2024_Lingering_Issues_and_Revelations_About_Scale_o.shtml

                    ䷩ 𝚕𝚒𝚗𝚎 64

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

(ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/02/13/Anecdotal_Signs_That_Social_Control_Media_as_a_Concept_is_Wanin.shtml
    Gemini version at gemini://gemini.techrights.org/n/2024/02/13/Anecdotal_Signs_That_Social_Control_Media_as_a_Concept_is_Wanin.gmi

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posted by Roy Schestowitz on Feb 13, 2024,
updated Feb 13, 2024


  🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Seinfeld: What's the deal with few companies controlling
                    billions of people's communications?⦈


AT risk of sounding repetitive, and only days after this_commentary_about
Reddit's_woes (Conde Nast wants it to become a public problem by offloading it
to "the market"), let's revisit the matter from a more 'holistic' perspective.


I joined Social Control Media well before it was known as such ("social
media"); in the early days I was in USENET (newsgroups) and then came along
Digg.com (around the dawn of the Reddit era; Reddit was a lot smaller at the
time). I was ranked among the "top 20" users in Digg (this was nearly 2 decades
ago) and then everything was swept away by Facebook and Twitter, which grew a
lot faster than Reddit. That was well before Mastodon and years before
Identi.ca/StatusNet (now GNU social).


Forget all the revisionism and distortions of history regarding Social Control
Media. I know how it happened because I spent a lot of my adult life there. I
saw the ups and downs; I've had my share (a great deal) of criticism.


Years ago the leader in Social Control Media (Instagram included), Facebook,
finally admitted it was losing users faster than it gained any. Threads has
largely failed (you barely hear of it anymore) and Twitter, now known as "X",
is seeing an exodus, including mass quittings by government officials/
departments, who in turn see the decline in userbase and sometimes quit
Facebook too.


Recently I noticed that even Mastodon/Pleroma became a lot less active. This
'fediverse' (a term coined in the StatusNet era) came much later and only
temporarily enjoyed resistance from Twitter users in 2017 and then again in
2022. As for Diaspora? You'd struggle to see or hear anything from/about it in
2024.


It seems very fair to say Social Control Media is waning. TikTok qualifies more
as a video sharing platform, akin to YouTube now that it has longer video form
(YouTube - like GitHub - has 'Social Control Media-like' aspects).


In turn, YouTube and GitHub cannot make money (as in profit) and both have mass
layoffs. What sustained them, like in the case of TikTok (ByteDance laid off
there too, only weeks ago!), is government support or subsidies, which aimed to
secure propagandistic_bias (censorship, promoting of what goes "viral" to
scandalise political "enemies").


Expect GitHub et al to continue shrinking as the US and Chinese economies
weaken, making it a lot harder to justify ongoing losses and corporate
subsidies.


As the old saying or cliché goes, "the writings are on the wall..."


If you are still playing the "social media" game... then you're playing
yesterday's game. You're wasting your time. Many people nowadays regret that
everything they ever had to say online was entered into Twitter, Facebook,
Reddit etc. instead of personal sites or blogs. A lot of information online
will be lost forever, except maybe the Wayback Machine (if the Internet Archive
can endure the lawsuits) or so-called 'language models' that ingest a ton of
text for plagiarism's sake/nefarious purposes (repeated without attribution,
without context, and without any sense of understanding, hence lacking
accuracy). We predict that in the coming years if not months Google_will_delete
many_"old"_or_"not_popular_enough"_YouTube_videos. It's an avalanche or a mass
extinction event, unparalleled in the history of the Web or the Net in general.
People won't be getting back to newsgroups (Google is detaching itself from
them after 2 decades of "embrace and extend" via "Groups", formerly Deja News),
they will probably just drift further away into the abyss of online
misinformation, wherein governments and oligarchies determine what goes "viral"
and what goes "offline" (censored).


The future of the Net isn't bright. Make what you can of it... while it lasts.
█




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⠀⠀⠀⠀⢸⣿⣿⡆⠀⢸⣿⡇⠀⠀⢸⣿⠁⠠⣾⣿⡏⣿⢸⡙⠿⣿⡿⠿⠻⣽⣿⣿⣿⣿⣿⣿⣿⣻⠃⢿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢸⣿⣿⡇⠀⢸⣿⡇⠀⠀⢸⣿⠀⠀⢸⣇⠁⡿⢸⡇⠀⠉⠒⠐⢀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣧⢸⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢸⣿⣿⡃⠀⢸⣿⡇⠀⠀⢸⡟⠀⠀⠈⠻⡀⠀⠈⠃⠀⠀⢀⣤⣾⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡎⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢸⣿⣿⡇⠀⣸⣿⡇⠀⠀⢸⡇⠀⠀⠀⢀⡀⠀⠀⠀⣀⣠⣿⣿⡇⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣸⣿⣿⡇⠀⣿⣿⡇⠀⠀⢾⠇⠀⠀⠀⢸⠁⠐⠀⣰⣿⣿⣿⣿⢿⣿⡞⣿⣿⣶⣿⣿⣿⣿⣏⣿⣿⣿⣿⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣴⣿⣿⣿⣇⣴⣿⣿⣷⣤⣤⣾⣤⣤⣤⡤⢸⣤⣿⣿⣿⣿⣯⣿⣿⣼⣿⣿⣼⣿⣷⣮⣻⣿⣿⣿⣿⣿⣿⣯⣬⢠⣤⣄⣤⢠⣤⣤⣤⣤⣄⣠⣤⡄⣤⢠⡄⢠⣤⣄⣤⣠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣶⣶⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣞⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⡇⣿⢸⣿⣿⣿⣿⡇⣿⢸⡇⢸⣿⣿⣿⣿⣯⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⢸⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⡟⡟⠙⠃⠛⠃⠈⠛⠛⣹⣿⣿⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⡟⢻⣿⣿⣛⠈⠛⠃⠛⠛⠃⠛⠘⠛⠛⠙⠛⠁⠛⠛⠛⠛⠛⠃⠛⠙⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣻⢾⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⡿⠀⣾⣿⣿⣿⡻⣿⣿⡇⣿⣷⣿⣿⣿⣿⣿⣿⣿⣟⢿⣿⣿⠷⢾⣿⣿⣿⣿⣾⣿⣼⣷⣿⣿⣿⢸⣿⡇⣿⣿⢸⣧⣿⣿⢸⣿⡞⣿⢻⡇⣾⣿⣾⣧⣿⣿⣿⠰⢿⣧⠀
⠏⣿⣽⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⡏⣾⣿⠀⢿⣿⣿⣿⢁⢿⣿⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡌⢿⣿⣷⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⡇⣿⣿⢸⡟⣿⣶⣼⣿⡇⣿⢸⡇⣿⣿⢿⡿⣿⢾⣿⢾⡟⠋⠀
⠀⠀⠀⠀⠀⠀⣿⠀⠀⣿⣿⣿⣿⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⢘⠏⠀⣹⢹⣿⣿⣿⣿⠃⠘⣿⣿⠾⡄⢿⣿⣿⣹⣿⣿⣿⣯⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 192

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

(ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/02/13/Internal_EPO_Presentation_Shows_How_Patent_Examiners_Are_Subjec.shtml
    Gemini version at gemini://gemini.techrights.org/n/2024/02/13/Internal_EPO_Presentation_Shows_How_Patent_Examiners_Are_Subjec.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Internal EPO Presentation Shows How Patent
Examiners Are Subjected to Pressure and Threats of Firing/Demotion If They
Don't Grant 'Enough' Monopolies⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Feb 13, 2024,
updated Feb 13, 2024


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


THE EPO's patent examiners are besieged. It's no secret that they're unable_to
do_their_job as the European Patent Convention (EPC) demands because Benoît
Battistelli and António_Campinos changed the rules to make_them_EPC-violating.
It's all about producing as many patent monopolies as possible (for profit).
That includes, based on very_important_leaks, software_patents. This must be
stopped.


A few weeks ago the Local Staff Committee The Hague wrote to colleagues,
alerting some of them upfront that they would be cautioned for not producing
"enough" patents, which in the eyes of the Campinos Monopoly Office constitutes
"incompetence" (not that Campinos has any scientific background or a real grasp
of science).


Here is what staff was told:


     § Reporting exercise 2023 - Learn how to contest your appraisal
     report⠀➾


     Dear colleagues,


     We will soon all receive our appraisal reports, which are supposed to
     document our work for the EPO and which are used as basis in career,
     selection, and incompetence decisions.


     It is an important document!


     In these times of high production pressure and unsustainable
     objectives, we therefore advise you to carefully read your appraisal
     report and to contest it, if necessary.


     The slides accompanying last year’s presentation have been updated by
     your staff representatives to guide you through the possible actions
     you can undertake, in reaction to an appraisal report which would not
     reflect your activity in 2023.


     Kind regards,
     Your Local Staff Committee The Hague


The updated presentation, which can be found here, talks about an issue that
predates Campinos. Basically, people complying with the laws and treaties that
govern them (notably EPC) can be subjected to the labour (a la UK legal)
equivalent of "gross incompetence" and let go/dismissed. As if nothing could be
worse than turning down many requests for monopoly or simply assessing
applications long enough to properly_understand_them_and_meaningfully_respond
to_them.


The Local Staff Committee The Hague suggests challenging negative appraisal
reports and even escalating the matter to a court which EPO dictators refuse_to
obey.


Here are the 13 slides:


         🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇EPO: Contesting Appraisal Reports slide⦈


         🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇EPO: Contesting Appraisal Reports slide⦈


         🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇EPO: Contesting Appraisal Reports slide⦈


         🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇EPO: Contesting Appraisal Reports slide⦈


         🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇EPO: Contesting Appraisal Reports slide⦈


         🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇EPO: Contesting Appraisal Reports slide⦈


         🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇EPO: Contesting Appraisal Reports slide⦈


         🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇EPO: Contesting Appraisal Reports slide⦈


         🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇EPO: Contesting Appraisal Reports slide⦈


         🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇EPO: Contesting Appraisal Reports slide⦈


         🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇EPO: Contesting Appraisal Reports slide⦈


         🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇EPO: Contesting Appraisal Reports slide⦈


         🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇EPO: Contesting Appraisal Reports slide⦈


Imagine working as a scientist under these ludicrous conditions, wherein not
the quality guides the work but some ludicrous applicants-friendly "targets"?
This profound managerial issue is the real professional incompetence - and one
that spills_over_to_the_EU. █




⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⠿⠿⠿⠿⠿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⠿⠿⠿⠿⠿⣿⣿⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⡿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠈⢿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⢿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣻⣿⣿⣶⣶⣶⣶⣦⣶⣿⣿⣿⣯⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢴⣾⣿⣿⣿⡟⠿⣿⣿⣿⣿⡿⠛⢿⣿⣿⣿⣿⣷⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡄⠀⠀⠀⠀⠀⠀⣀⡴⠂⠠⠶⠽⠿⠿⠛⠂⢰⣿⣿⢟⡿⣿⣯⣘⠨⣿⣿⣿⣯⣿⣤⣴⣦⣤⣤⣤⣤⣤⣤⣴⣿⣯⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣷⣤⣤⣤⣤⣤⣾⣿⣷⣴⣧⣶⣧⣴⣶⣶⣶⣿⣿⣿⣥⣮⣾⣿⣿⣿⣿⣿⣿⡟⠻⡛⢿⣿⣿⣿⡟⠛⠛⢛⣿⡿⠿⠿⣿⣿⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣾⣿⠿⣿⣿⡛⠛⡿⠛⠩⢋⢉⣯⣿⣏⣽⣻⣿⣿⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣷⣈⠙⢯⣏⠻⢝⠙⢄⠀⣾⡿⠁⠀⠀⠀⠈⠙⠻⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠿⠋⠉⠀⠀⠈⢿⣷⣦⣖⣿⡂⣀⣬⣿⣿⣿⣿⣿⣿⣿⣧⣤⣼⣵⣽⣿⣯⣦⣬⣽⣿⣿⣿⣿⣿⣿⣿⣷⣥⣭⣗⢲⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⠁⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⡿⣟⣿⣻⣿⣿⠟⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣭⣭⣽⣻⣿⣿⣿⣯⡛⠛⣿⣿⣿⣧⣄⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⡅⢆⢹⣵⣿⡿⡿⣠⢿⡟⡖⠬⢾⣿⣿⣿⣿⣿⡷⠞⡏⠆⡇⠉⠟⣿⡿⣿⣏⣠⣿⡿⣿⣿⡿⢿⣷⣦⣄⡀⠀⠀⢀⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣆⠀⠀⣠⣴⣿⠿⣿⣿⡇⢻⣿⣿⣶⣿⣿⡟⡠⢿⡇⢸⢈⣧⣤⣾⣿⣿⣿⣿⣿⣇⣸⠀⢰⣸⣼⢎⢀⣩⣮⣿⣿⣿⣵⣿⣿⡇⠀⠈⠙⠿⣿⣶⣤⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣷⣾⡿⠛⠁⠀⣿⣟⣷⣀⢄⣽⣿⣿⣾⣞⣒⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠃⡙⢿⣿⣿⣟⣍⣤⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀⠀⠀⣨⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡿⢿⣿⣦⣀⠀⣿⣿⣾⣗⣴⣿⡟⣿⣿⣧⡔⣷⠼⢿⣿⣿⣿⢿⣿⣿⡿⣿⣿⡧⡴⠓⡽⣟⠛⠛⣿⣿⣿⡋⠙⠋⣿⣿⣿⣿⠀⣀⣴⣿⡿⠋⠁⠙⢿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⡟⠁⠀⠈⠛⠿⣿⣿⣿⣿⣿⣿⠏⠹⠯⢋⡿⣿⣿⣀⣨⡿⣿⣿⣿⣿⡿⠰⣿⣿⣿⣷⠋⠀⣿⣀⣼⣿⣏⠈⠛⠀⣨⣿⣿⣿⣿⣾⡿⠟⠁⠀⠀⠀⠀⠀⢻⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀⠀⠀⠀⠀⠈⠹⣿⣿⣿⣿⣦⣔⣛⣾⢗⢛⢿⣿⣶⣲⠓⠙⣿⣿⠻⢭⣿⣿⣿⠻⢦⣰⣿⣿⣿⣿⣿⣏⡉⣀⣼⣿⣿⣿⢿⣿⡀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣏⢋⠛⢿⣿⣿⣷⣿⣾⣿⣿⣿⣧⣤⣿⣿⣤⣾⣿⣿⣿⡄⣴⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⢿⢿⠏⠈⢻⣿⡄⠀⠀⠀⠀⢀⣴⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣦⡀⠀⠀⠀⠀⠀⣸⣿⠏⡈⣫⡙⢷⣿⣿⣟⡟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣟⡏⠤⢤⡰⠂⠁⠀⠀⠈⣿⣿⣄⣤⣶⣾⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣷⣦⣤⣀⣰⣿⡏⠀⠑⣤⠩⡚⠻⠿⣽⠲⠉⢣⣱⣹⣮⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣾⣶⣾⣿⣿⡿⣿⣿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠛⢿⣿⣿⣿⣿⣿⣿⣾⣉⠛⠠⠀⢈⣿⣿⡿⠯⠟⠟⠁⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡏⠀⠀⠀⠀⠀⠉⠻⣷⣿⣿⣿⣟⠂⢀⣙⣠⣶⣿⣿⣏⣀⣈⠝⣿⣷⣦⣴⣾⣿⣿⠓⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣇⠀⠀⠀⠀⠀⠀⠀⠈⠙⠟⢿⣯⣿⣷⣿⣿⣿⣿⣿⣿⣶⣢⣯⣽⣟⣿⣿⣿⣿⣯⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⡿⠛⠛⠛⠷⠾⠿⠿⠾⠓⠚⠓⠊⠉⠀⠀⠉⠙⠻⢿⣿⣶⣶⣤⣤⣤⣤⣶⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣶⣤⣤⣤⣶⣶⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡟⣛⡛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡇⠾⠴⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⢻⣿⣿⣻⡻⢻⣿⡿⣿⣻⢿⣿⣿⢛⣿⢻⢿⣿⣟⣟⣿⡟⡟⡿⢟⣿⢟⣿⠿⡿⢟⠻⢿⢿⢿⣟⡿⡿⣻⣿⣿⡟⢟⡿⣿⡿⢿⣿⣻⠿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣾⣾⣾⣾⣿⣾⣿⣿⣿⣾⣾⣿⣿⣾⣾⣾⣿⣿⣿⣷⣷⣷⣷⣿⣿⣿⣿⣾⣿⣿⣿⣾⣾⣾⣾⣷⣷⣿⣷⣿⣿⣷⣷⣿⣿⣿⣿⣾⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⣿⣿
⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿
⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿
⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿
⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿
⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡟⣛⡛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡇⠾⠴⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣶⣿⣿⣣⣿⣾⣵⣯⣿⣿⣬⣯⣽⣟⣽⣾⣜⣿⣷⣟⣧⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡟⣛⡛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡇⠾⠴⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣼⣵⣟⣻⣻⣷⣽⣻⣧⣿⣿⣿⣿⣟⣮⣣⣿⣼⣿⣻⣞⣿⣇⣬⣧⣫⣷⣿⣿⣿⣿⣷⣟⣞⣽⣿⣦⣿⣵⣿⣿⣷⣽⣻⣿⣽⣛⣿⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣷⣾⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣿⣽⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣽⣿⣿⣽⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⠛⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣙⣉⣉⣛⣉⣉⣫⣽⣉⣉⣉⣩⣍⣉⣩⣽⣏⣏⣉⣉⣏⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣫⣏⣍⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⢲⡗⣿⣨⣗⣲⣠⣼⣆⣖⣸⣧⣀⣂⣐⣼⣐⣄⣣⣈⣀⣁⣇⣀⣅⣶⣈⣽⣶⣔⣸⣆⣆⣣⣘⣇⣸⣧⣘⣀⣠⣖⣺⣀⣆⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠿⠿⠿⠿⢿⠿⠿⡟⢿⠿⠿⡿⢿⠿⣿⠿⡿⠿⣿⢿⠿⠿⠿⢿⢿⡿⡿⠿⢿⠿⢿⢿⢿⢿⠿⠿⠿⠿⢿⢿⢿⢿⠿⡿⠿⠿⠿⠿⠿⢿⢿⠿⢿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣾⣷⣶⣶⣶⣾⣶⣶⣷⣶⣶⣶⣷⣷⣶⣿⣶⣷⣶⣾⣿⣦⣶⣷⣾⣧⣿⣶⣷⣾⣶⣶⣾⣾⣶⣿⣶⣶⣶⣾⣶⣿⣷⣶⣷⣾⣶⣶⣶⣶⣶⣾⣶⣾⣿⣶⣶⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⢿⠿⡿⢿⠿⠿⡿⡿⢿⡿⢿⡿⠿⡿⡿⠿⢿⠿⢿⡿⢿⢿⠿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⣷⣶⣧⣶⣮⣦⣾⣦⣶⣶⣾⣷⣿⣿⣿⣶⣷⣶⣶⣿⣶⣵⣴⣦⣶⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣤⣴⣿⣤⣤⣤⣦⣤⣧⣼⣯⣧⣷⣼⣤⣤⣤⣤⣼⣿⣤⣧⣧⣮⣤⣤⣾⣤⣯⣧⣼⣧⣤⣴⣯⣤⣷⣵⣴⣽⣧⣿⣶⣵⣴⣯⣬⣼⣷⣼⣿⣧⣤⣯⣼⣦⣤⣴⣼⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⡿⢿⠿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣬⣴⣤⣼⣥⣬⣷⣧⣼⣶⣴⣧⣤⣤⣧⣴⣦⣤⣼⣬⣴⣼⣦⣸⣤⣤⣿⣧⣥⣤⣤⣤⣤⣜⣷⣤⣤⣤⣤⣧⣾⣤⣧⣦⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣮⣆⣶⣽⣼⣤⣔⣿⣤⣦⣶⣕⣽⣼⣔⣄⣔⣼⣧⣦⣮⣴⣵⣦⣕⣵⣬⣷⣖⣤⣿⣶⣬⣗⣤⣬⣄⣿⣨⣪⣄⣥⣤⣽⣨⣾⣼⣷⣤⣵⣞⣥⣊⣢⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠻⢿⠿⠿⠿⠿⠿⠿⢿⠿⠿⠿⢿⢻⢿⠻⠿⢿⠻⣿⢿⠿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣡⣉⣽⣈⣹⣿⣉⣟⣇⣾⣏⣙⣉⣉⣉⣹⣹⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠛⠛⠛⠞⠻⠛⣟⢛⣛⣛⣛⡛⣛⣻⣞⣟⣛⣚⢛⡛⣛⣻⢛⣛⣛⣛⣛⣛⣟⣛⡛⡟⢻⣛⣻⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⣍⣉⣉⣉⣍⣉⣋⣹⣩⣉⣉⣹⣽⣉⣉⣏⣍⣍⣟⣍⣉⣍⣍⣩⣩⣹⣩⣍⣍⣉⣋⣍⣉⣉⣹⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣐⣉⣯⣉⣽⣙⣉⣍⣏⣭⣁⣏⣍⣹⣋⣩⣉⣹⣉⣍⣉⣭⣿⣿⣿⠤⠤⠦⡤⠤⡤⠼⠤⡤⠤⠤⠤⢤⠥⠧⠤⠤⢧⡤⠤⠤⡦⠧⠴⠤⢬⠤⠥⠤⠥⢤⠤⠦⠤⢷⠧⠤⠿⠿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠒⠒⠲⠒⡒⠓⠓⠒⠓⠒⢒⠒⢺⠚⠒⠒⢲⠒⠓⡒⠒⢲⠒⢲⢒⠛⠚⠒⠒⠖⣺⣾⣾⣶⣾⣶⣶⣶⣶⣿⣿⣿⣿
⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡟⣛⡛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡇⠾⠴⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣗⣺⣿⣿⣿⣿⣷⣽⣧⣿⣿⣿⣽⣛⣝⣢⣻⣘⣟⣽⣿⣷⣽⣟⣦⣣⣨⣷⣻⣟⣻⣷⣿⣇⣜⣼⣧⣧⣷⣟⣇⣻⣿⣠⣽⣜⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⡷⢿⣿⣿⣷⣿⣿⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣷⣿⣷⣿⣷⣿⣿⣿⣿⣷⣿⣾⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣾⣿⣿⣿⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣯⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣯⣭⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡟⣛⡛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡇⠾⠴⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣷⣽⣧⣿⣿⣿⣽⣮⣿⣻⣘⣿⣮⣿⣸⣝⣾⣣⣧⣟⣷⣻⣿⣬⣳⣯⣿⣶⣽⣿⣿⣧⣿⣿⣯⣟⣿⣵⣿⣾⣿⣭⣯⣽⣟⣽⣾⣘⣟⣿⣝⣷⣫⣾⣠⣵⣿⣼⣿⣟⣏⣻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣷⣿⣿⣾⣿⣾⣾⣿⣿⣿⣾⣶⣾⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣽⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⠛⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣙⣉⣉⣛⣉⣉⣫⣽⣉⣉⣉⣩⣍⣉⣩⣽⣏⣏⣉⣉⣏⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣫⣯⣍⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⢪⡐⣿⣨⣗⣲⣠⣼⣆⣖⣸⣇⣄⣘⣇⣸⣡⣻⣐⣖⣺⣈⣀⣼⣛⣠⣻⣈⣆⣾⣄⣰⣰⣆⣅⣷⣰⣅⣀⣸⣀⣻⣒⣭⣡⣂⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⠿⠿⢿⢿⠿⢿⠿⢿⡿⠿⢿⠿⠿⠿⡿⡿⠿⡿⡿⠿⡿⠿⢿⠿⠿⡿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⣾⣶⣾⣾⣤⣬⣥⣬⣤⣬⣭⣤⣬⣭⣷⣿⣶⣷⣷⣶⣿⣷⣶⣶⣿⣷⣾⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣉⣋⣍⣽⢍⣝⣩⣏⣉⣭⣏⣉⣉⣍⣯⣝⣉⣹⣉⣉⣿⣋⣛⣿⣉⣝⣭⣙⣉⣩⣽⣙⣍⣉⣏⣹⠩⠉⠏⠉⠉⠏⠉⠍⢿⣉⣽⣉⣉⣏⣉⣉⣏⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⡿⢿⡿⠿⠿⡿⢿⣿⠿⠿⡿⠿⢿⡿⡿⡿⠿⣿⠿⣿⢿⠿⡿⠿⡿⡿⢿⡿⡿⡿⡿⠿⡿⠿⡿⣿⠿⡿⣿⡿⠿⠿⠿⠿⡿⢿⠿⡿⠿⠿⠿⡿⡿⢿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⣷⣶⣶⣶⣾⣿⣾⣴⣷⣾⣿⣶⣾⣷⣿⣾⣶⣶⣶⣿⣶⣾⣾⣶⣿⣶⣶⣿⣶⣿⣾⣶⣶⣶⣾⣿⣾⣶⣿⣿⣾⣶⣶⣶⣿⣶⣷⣮⣶⣶⣾⣦⣷⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣝⣩⣉⣉⣉⣉⣩⣉⣍⣏⣹⣩⣏⣩⣉⣋⢏⣉⣏⣯⣍⣉⣹⣙⣉⡍⣙⣹⣉⣉⣉⣉⣉⢏⣉⣉⣉⣯⣝⣉⣋⣋⣏⣟⣉⣉⡹⣉⡉⣉⣩⣉⣉⣏⣉⣏⣍⣹⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣍⣙⣉⣽⣇⣍⣿⣮⣨⣫⣉⣎⣉⣍⣘⣍⣉⣉⣭⣩⣙⣩⣹⣁⣉⣉⣉⣉⣉⣉⣍⣙⣡⣉⣍⣹⣉⣇⣉⣇⣏⣁⣉⣙⣩⣉⣍⣍⣁⣉⣝⣙⣍⣍⣍⣝⣉⣩⣩⣋⣋⣉⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣯⣭⣩⣍⣩⣭⣭⣽⣷⣟⣧⣮⣹⣶⣇⣯⣭⣽⣭⣤⣥⣭⣍⣜⣭⣭⣭⣭⣯⣩⣭⣟⣽⣹⣴⣤⣭⣯⣭⣴⣭⣩⣻⣽⣭⣍⣏⣬⣭⣭⣯⣩⣉⣑⣉⣙⣸⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣀⣀⣐⣀⣒⣉⣊⣚⣊⣁⣈⣁⣓⣘⣘⣈⣀⣓⣘⣈⣒⣘⣂⣓⣐⣉⣈⣈⣂⣛⣘⣘⣁⣀⣓⣁⣈⣑⣓⣁⣁⣘⣈⣂⣑⣉⣊⣀⣙⣂⣃⣘⣘⣁⣃⣓⣀⣀⣃⣈⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣀⣀⣃⡀⣘⡐⣀⣂⣀⣀⣀⣘⣘⣘⢀⣀⣀⣒⣀⣂⣀⣘⣀⣑⣀⣀⣀⣐⣃⣀⣘⣀⣂⣀⣚⣐⣀⣚⣐⣘⣀⣁⣀⣃⣑⣐⣐⣀⣂⣋⣂⣐⣀⣀⣀⣘⣀⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣤⣤⣤⣤⣤⣿⣤⣤⣼⣤⣶⣤⣤⣴⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⠋⢿⣿⠛⡟⣟⡏⡉⣻⣿⠏⢝⣋⣭⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⡿⡿⡿⣿⣿⡿⢿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣦⣦⣦⣿⣧⣧⣧⣤⣶⣤⣦⣤⣤⣿⣿⣿
⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡟⣛⡛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡇⠾⠴⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣝⣼⣷⣿⣿⣯⣟⣿⣜⣤⣽⣞⣷⣫⣧⣽⣞⣿⣨⣟⣻⣿⣜⣥⣽⣿⣿⣇⣝⣼⣟⣷⣾⣻⣬⣷⣻⣿⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣶⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣾⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡟⣛⡛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡇⠾⠴⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣽⣿⣿⣿⣮⣯⣿⣻⣿⣟⣇⣽⣞⣟⣻⣿⣧⣽⣿⣷⣻⣛⣼⣥⣻⣯⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡟⣛⡛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡇⠾⠴⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣽⣿⣿⣿⣮⣯⣿⣻⣿⣟⣇⣽⣞⣟⣻⣿⣧⣽⣿⣷⣻⣛⣼⣥⣻⣯⣟⣻⣿⣿⣷⣿⣦⣣⣜⣟⣻⣫⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣥⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣽⣿⣿⣿⣏⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣻⣟⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡟⣛⡛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡇⠾⠴⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣽⣿⣿⣿⣮⣯⣿⣻⣿⣟⣇⣽⣞⣟⣻⣿⣧⣽⣿⣷⣻⣛⣼⣥⣻⣯⣟⣻⣿⣿⣷⣿⣦⣣⣜⣟⣻⣫⣞⣿⣟⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣻⣯⣿⣟⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣽⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡟⣛⡛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡇⠾⠴⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣽⣿⣿⣿⣮⣯⣿⣻⣿⣟⣇⣽⣞⣟⣻⣿⣧⣽⣿⣷⣻⣛⣼⣥⣻⣯⣟⣻⣿⣿⣷⣿⣦⣣⣜⣟⣻⣫⣞⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣷⣿⣷⣿⣿⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣽⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡟⣛⡛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡇⠾⠴⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣽⣿⣿⣿⣮⣯⣿⣻⣿⣟⣇⣽⣞⣟⣻⣿⣧⣽⣿⣷⣻⣛⣼⣥⣻⣯⣟⣻⣿⣿⣱⣽⣇⣷⣧⣿⣿⣟⣿⣿⣶⣷⣧⣿⣿⣯⣿⣿⣟⣿⣼⣧⣿⣳⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⣿⣿⣾⣾⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 636

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

(ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/02/13/IRC_Proceedings_Monday_February_12_2024.shtml
    Gemini version at gemini://gemini.techrights.org/n/2024/02/13/IRC_Proceedings_Monday_February_12_2024.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ IRC Proceedings: Monday, February 12,
2024⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Feb 13, 2024


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Snowdrop_Galanthus_Flower_Spring_1907_Creative_Commons⦈_


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


                                              #techrights_log                                                                                           #boycottnovell_log


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


                                         #boycottnovell-social_log                                                                                        #techbytes_log


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The corresponding text-only bulletins for_Tux_Machines and for_Techrights
contain all the text.


                          Enter_the_IRC_channels_now




⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⢯⡿⣿⢰⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡟⡻⢡⣾⣿⣿⣿⣿⣿⣻⣿⣿⣿⠛⡯⣽⣿⢹⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⣿⢋⠴⡿⣿⡿⣿⠽⡫⡻⠿⡯⣙⠆⠝⠈⡙⠻⡇⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠁⠀⠁⠁⠐⠚⠑⠀⠁⠀⠈⠋⠀⠚⠀⠀⠐⠏⠀⢄⠃⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⢀⢾⣧⠈⢈⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣱⣿⣿⣾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣻⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⠀⠀⠊⠉⠉⠛⠲⠦⣤⡀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣏⣻⣿⣿⣿⣿⣿⢹⠁⠁⢰⠏⣾⣆⠈⣿⣿⣿⣿⣿⣿⣿⣿⢟⢩⣶⣾⡿⣿⣿⡟⣴⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣶⣾⣿⣿⣿⣿⣿⣿⣎⢻⣿⣿⣿⣿⣿
⠀⠀⠀⠀⢀⡄⠀⠀⠈⠙⠷⡄⠀⢸⣿⣿⣿⠃⠘⠫⠭⢝⣿⣿⣿⣿⣬⣾⣀⡞⢸⣿⣟⢀⣿⣿⣿⣿⣿⣿⠟⢁⣴⣿⣿⣿⣷⣦⠉⣼⣿⣿⣿⣿⣿⣿⣿⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⣨⣤⣤⣄⡀⠀⠀⠈⠂⠺⠿⠋⠁⠀⠀⢀⣼⡏⢑⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⡟⡿⢃⡴⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⢠⣾⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⢀⣀⣿⣟⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠘⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢠⣿⣿⣿⣧⣬⣿⣿⣿⣷⠀⠀⢀⣸⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⡜⣿⣿⣿⣿⣿⣿⣿⢩⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠘⣿⣿⠏⠻⣿⡿⠉⠛⠛⢀⣴⣿⣿⣿⣿⣿⣏⣿⢻⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⡟⠻⣿⣿⣿⣿⠀⠰⣿⡆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⡿⣿⣶⣿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⡿⠁⠀⣨⣿⣿⡿⡀⡀⣿⣥⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠟⠋⠉⠀⣿⣿⣿⣿⣿⡇⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⢏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣯⠀⠆⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⡟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣇⠙⣿⣿⣿⡿⠃⣼⣿⣿⣿⣿⣿⣿⣿⠋⡙⣿⣿⣿⣿⣧⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⣖⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⠿⠋⢰⣿⣿⣿⡿⠻⣿⣿⣿⣿⡟⠀⣿⡿⠋⠈⠒⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠉⠻⢿⣿⡟⠀⣸⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡿⠟⠁⠀⠈⠻⣿⡿⠃⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⡟⠉⢃⣠⣤⣀⠀⣤⣶⣄⡄⡪⠙⡛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⢿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠹⠟⠋⠀⠐⠛⣉⣩⣤⣤⣼⣿⣿⣧⣥⣾⣿⣷⣀⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣴⣾⣿⢻⣿⣿⣿⣿⣿⣿⣿⡙⢿⣿⣿⣿⢉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⣉⠁⠈⣉⣉⣉⡉⠘⢛⠿⠇⠀⠈⠉⠁⢴⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠈⠿⠟⠁⠀⠀⠉⠁⠀⠀⠀⠀⡁⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣡⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠈⠻⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⢻⣿⣿⣧⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⣀⣀⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣤⣉⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣌⣉⡙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣈⣉⠛⠛⠿⠿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣉⡙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⣉⡙⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣌⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⡙⠛⠋⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣍⣉⡛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣉⣙⠛⠻⠿⢿⣿⣿⡿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⢀⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣠⣄⣈⠻⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⠛⠻⠿⢿⣿⣿⣿⣿⠃⠀⠀⣴⣿⣿⣿⣷⠌⢿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⡉⠁⠀⢀⣾⣿⣿⣿⡿⠋⠀⠈⠻⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣧⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⣀⠈⣹⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⣍⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣬⣉⡛⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣙⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣤⣤⣤⣀⣀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣍⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣬⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣍⣙⣛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣭⣉⣛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 860

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

(ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/02/13/Meme_Repeating_American_Mistakes_by_Treating_Patent_Applicants_.shtml
    Gemini version at gemini://gemini.techrights.org/n/2024/02/13/Meme_Repeating_American_Mistakes_by_Treating_Patent_Applicants_.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ [Meme] Repeating American Mistakes by
Treating Patent Applicants Like 'Clients' or
'Customers'⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Feb 13, 2024


The sole_goal now is to grant_as_many_patent_monopolies_as_possible,
irrespective_of_their_merit, and then to stack_patent_courts_with_lots_of
plaintiff-friendly_judges (with financial ties to the litigation meta-
industry). The EPO must be regulated or discarded.


The EPO is misusing its powers:


       🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇USPTO/EPO meme: I will export it to Europe.⦈


The corporate domination dooms patent offices, which deviate away from their
original goals and risk becoming just some bureaucracy in the business of
making money (at the collective_expense of the general public). █


"Small enterprises generally adopt a rather negative position towards the
current increasing granting of patents for software and algorithms because they
fear that these will hamper or eventually even impede their work (more than
85%)." —German Federal Ministry of Education and Research (BMBF), Study of the
Innovation Performance of German Software Companies, 2006, p. 86




⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣶⣶⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡅⠀⠀⠀⠀⠀⢀⣴⣶⣿⣷⡦⠾⣧⣸⣭⣒⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⡀⠀⢀⣴⣿⣿⠟⣿⣿⣆⡀⠀⠀⠉⠻⣿⣕⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣾⡿⠿⠿⠿⠿⠻⠿⠧⠴⠀⠀⠀⠸⣿⢯⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣾⣿⢾⣿⣷⢻⣿⢳⣿⣦⣿⣷⣹⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡸⣿⣿⢾⣿⣿⣿⠉⢸⣿⢸⣿⡿⣿⣿⠻⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⣶⣶⣶⣶⣶⣾⡆⠀⠀⠀⣰⣿⢃⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠈⠛⠛⢿⣿⣿⣿⡿⠟
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⡹⣿⣿⣿⣿⣿⣿⣿⣷⣤⣾⣿⢟⠊⠛⢆⠀⠀⠀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠉⠻⠿⣡⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠁⠀⠀⠘⠪⢛⠿⣿⣟⣟⣻⡽⢿⣫⣷⣧⣀⠀⠘⢋⣀⠀⠀⠢⣤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠐⠻⣿⣿⣿⣿⣿⣧⡀⠈⢿⠀⠀⠀⣦⣤⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣶⣤⣶⣄⣼⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣷⣶⣶⣄⡘⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣦⣤⡿⠷⠆⠀⠀⠀⠀⠀⠘⢻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⣤⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣠⣀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⡰⠀⠀⠀⠀⠀⠀⠀⠀⢤⠤⠍⠁⠠⣤⣤⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⣿⣿⣿⣟⡻⣿⣿⣿⣿⣿⠁⠐⡒⢿⡇⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣴⣶⣤⣶⣷⣀⣾⣿⣿⣶⣶⣾⣿⣶⡀⠀⠂⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣀⢹⣿⣿⣧⣸⣿⣿⣿⣯⠀⢠⣤⣵⡄⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠘⣧⢸⣿⣿⣿⣿⣿⣿⣿⣯⠀⣤⣽⣿⡇⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣀⠀⠀⠀⠀⠀⠈⠄⣲⠀⠀⠘⢷⣿⣿⣿⣿⣿⣿⣿⣿⡗⠂⠻⣿⡇⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣤⠈⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣜⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢰⣿⠇⠀⠀⠀⠀⠀⢿⣿⣿⣿⣯⣿⣿⣾⣿⡅⠉⢳⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣶⣦⣀⣠⣶⣦⣤⣤⠀⠀⠀
⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⣽⡏⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⡟⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠃⠀⠀⠀
⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠁⠄⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡍⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠈⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⡿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠛⢿⣿⣿⣿⠏⠀⠀⣠⡀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣦⣔⣀⡄⣀⡀⠀⣠⢰⣀⢀⣀⡀⠀⣖⡆⣀⣀⣙⢻⡎⣿⣿⣿⡆⣀⡀⣀⡀⣄⢀⣀⣀⢀⠀⢰⣠⣰⡆⠀⠀⠀⠘⠟⠟⠃⠀⠀⠈⠉⠃⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⢿⡿⣿⢻⠀⡇⡟⣅⡟⠀⢸⢸⠸⠿⣖⠇⠀⡇⡇⡇⢻⣺⢫⠀⠈⣯⡭⠛⣗⡏⢕⡦⢇⢧⡸⠸⡞⠀⢸⢸⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠀⠀⠀⠐⠀⠀⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⢰⡦⢤⢀⠋⡄⠀⢀⣀⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣦⣤⣀⣈⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⢠⢰⣾⡶⣭⣦⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠂⠀⣤⣀⣰⣿⣿⠿⠟⠻⢿⣿⣿⣿⣿⣿⠛⢛⣻⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠮⣙⡿⣷⣿⠟⣡⡧⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣦⣴⣿⣿⣿⣿⣿⡿⠃⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⡀⢸⣿⣿⣿⣿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢿⣄⣉⠉⣽⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣴⣶⣦⣽⣿⣶⣴⣶⣆⡍⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⠟⠻⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣷⡄⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⣁⣀⣭⣿⣿⠃⠀⠀⠀⠀⠀⠇⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣼⣿⡿⠃⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠄⠀⠠⠠⣤⣴⣶⣾⣿⣿⣼⣿⡏⠀⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⣼⣿⣿⣿⠿⠂⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡋⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⡟⢉⡟⠁⢰⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡿⠀⠀⠀⠀⢻⣿⡞⠃⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣵⣤⡄⠀⠉⠉⠉⣿⣿⣿⢍⢰⠂⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⢿⣷⣤⡔⠾⣿⣿⣟⣄⡿⡀⠀⠀⠀⢠⠀⠀⠀⢠⣠⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢠⢀⠀⢀⠀⠀⠀⣤⠤⠁⠀⠀⠀⠀⠈⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⡾⠿⢹⡶⡿⢇⡇⡖⢲⠀⢸⠀⢹⣷⣿⣿⣿⠀⣾⣷⣷⢹⢹⣼⣷⡟⢹⠁⢸⢹⠁⢹⢱⣿⠀⣿⠂⡇⣿⠃⣿⣾⢹⢼⣷⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠂⠀⠀⠀⠄⠢⠀⠀⠀⠀⠀⠀⠛⠛⠁⠀⠈⠋⠅⠈⠁⠉⠉⠉⠈⠁⠈⠉⠈⠉⠉⠀⠈⠉⠉⠹⠉⠈⠁⠁⠈⠁⠈⠈⠁⠈⠉⠉⠀⠉⠉⠉⠉⠀⠉⠹⠉⠈⠁⠁

                    ䷩ 𝚕𝚒𝚗𝚎 951

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

(ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/02/13/Over_at_Tux_Machines.shtml
    Gemini version at gemini://gemini.techrights.org/n/2024/02/13/Over_at_Tux_Machines.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Over at Tux
Machines...⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Feb 13, 2024


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


⚓  Updated This Past Day⠀⇛


   1. ⚓ Android_Leftovers⠀⇛


           Google improving integration between Android phones and tablets


   2. ⚓ Brazil_and_India_(Combined_Population_of_Nearly_1.7_Billion_People)
      Topping_Records_for_GNU/Linux_Usage [original]⠀⇛


           more interesting to us (today at least) is Brazil


   3. ⚓ GNU/Linux_Surges_to_All-Time_High_in_Spain_This_Month [original]⠀⇛


           GNU/Linux has smashed through 3% in Spain for the first time
           this month


   4. ⚓ Sooner_or_Later_One_in_Ten_Laptops_(or_Desktops)_in_the_UK_Will_Run
      GNU/Linux [original]⠀⇛


           GNU/Linux at 7.2% in the UK this month (including ChromeOS,
           which sells well around here and is available in most stores)


      ⚓  New⠀⇛


   5. ⚓ UBports_Is_Switching_to_a_Fixed-Release_Model_for_Ubuntu_Touch_OTA
      Updates⠀⇛


           The UBports Foundation announced that they plan to switch to a
           fixed-release model for future OTA (Over-the-Air) updates for
           their Ubuntu Touch mobile operating system.


   6. ⚓ Rhino_Linux_Development_Temporarily_Paused⠀⇛


           Rhino Linux development is on hold to address burnout and
           improve sustainability - a step towards a healthier team
           environment


   7. ⚓ The_best_Linux_distros_for_2024⠀⇛


           Linux has options for beginners, power users, and everything in
           between


   8. ⚓ Best_Free_and_Open_Source_Goodness⠀⇛


           To provide an insight into the quality of software that is
           available


   9. ⚓ today's_leftovers⠀⇛


           software, hardware, and more


  10. ⚓ Kodi_20.4_"Nexus"_-_Release⠀⇛


           It looks like one last hurrah was premature for the "Nexus"
           line: we find ourselves back again already, this time with a
           new 20.4 release


  11. ⚓ Security_Leftovers_and_Windows_TCO⠀⇛


           incidents and more


  12. ⚓ Programming_Leftovers⠀⇛


           4 coding related picks


  13. ⚓ today's_howtos⠀⇛


           quite a few Monday picks


  14. ⚓ Sparky_2024.02_Rolls_Out_New_Features_and_Kernel_Updates⠀⇛


           Sparky Linux 2024.02: New kernels, Pipewire 1.0.3, and improved
           CLI installer for better file system compatibility


  15. ⚓ SparkyLinux_2024.02_Improves_CLI_Installer,_Adds_More_Debian_Trixie
      Updates⠀⇛


           SparkyLinux 2024.02 has been released today as another snapshot
           in the semi-rolling series of this Debian-based GNU/Linux
           distribution leveraging the Debian Testing repositories.


  16. ⚓ 9to5Linux_Weekly_Roundup:_February_11th,_2024⠀⇛


           The 174th installment of the 9to5Linux Weekly Roundup is here
           for the week ending on February 11th, 2024


  17. ⚓ Linux_6.8-rc4⠀⇛


           halfway there now


  18. ⚓ Ubuntu_Core_Desktop_Debut_No_Longer_Planned_for_April⠀⇛


           Ubuntu Core Desktop will not be released alongside Ubuntu 24.04
           LTS in April, as originally hoped


  19. ⚓ Firefox_Devs_Working_on_Tab_Previews⠀⇛


           Tab previews are in the works for a future release of Mozilla
           Firefox


  20. ⚓ Review:_Adelie_Linux_1.0_Beta⠀⇛


           Adelie Linux is a fairly young project, but one I've been
           hearing people talk about recently


  21. ⚓ Affordable_Radxa_ZERO_3W_Featuring_Up_to_8GB_RAM_and_Onboard_eMMC
      Storage⠀⇛


           It supports Debian, Ubuntu, and other Linux distributions, and
           meets CE and FCC standards


  22. ⚓ Today_in_Techrights⠀⇛


           Some of the latest articles


  23. ⚓ today's_leftovers⠀⇛


           Microsoft, KDE, Python, and more


  24. ⚓ TechTarget/ComputerWeekly_on_Free,_Libre,_and_Open_Source_Software
      Versus_Openwashing⠀⇛


           Some openwash and FOSS analysis


  25. ⚓ New_Lists_of_Applications_for_GNU/Linux_and/or_Free_Software⠀⇛


           a sea of new lists


  26. ⚓ today's_howtos⠀⇛


           howtos from the past week or so


  27. ⚓ Open_source_originator:_'We_have_failed’⠀⇛


           Failing to pay developers has led to corporate takeover, says
           Bruce Perens


      =========================================================================
      The corresponding text-only bulletin for Monday contains all the text.


⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡎⠀⠀⠈⠙⠛⣿⣯⣻⣿⣿⣁
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⡀⠾⣦⠘⡟⠻⠟⠻⠧⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⢀⠀⠀⠀⠸⠛⠇⠀⠀⠀⠈
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠛⠀⢀⠀⠀⠃⠀⠀⠀⠀⢀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢰⡟
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠂⡀⠀⠀⠀⢀⣀⣄⠀⠠⣴⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠊⠐⠀⠀⠠⠈⡀⠹⠿⣷⣤⣿⣿
⣿⣿⣿⣿⣿⡟⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⢏⡈⠃⠩⣹⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⣿⣿⡿⠿⢿⣿⣿⢿⣿⣿⣿⢿⣿⣿⣿⡿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣷⠆⠀⠀⡀⠀⡄⢡⠄⠡⢹⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣿⡟⡒⢀⣨⣥⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠛⠛⠃⣿⣿⡇⢛⣻⣿⣿⢸⣿⣿⣿⢸⣿⣿⣿⢱⣿⣿⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⣿⡇⠀⠀⠂⠁⠀⡇⠰⣦⢄⠈⠡⠙⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢛⠃⢁⣈⣉⠉⡉⢾⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣇⣿⣿⣇⠛⢻⣿⣿⠘⠛⣿⣿⠘⠛⣻⣿⣌⡛⠛⣡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⡀⢠⡜⢹⠆⢰⣾⣿
⣿⣿⣿⠙⠻⣿⣏⣢⣿⠿⡿⢛⡇⡃⠀⠰⣹⣿⠿⣶⣬⣾⠛⠛⠉⣉⣉⣉⢻⣿⣿⣿⣿⠋⢙⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⠋⣯⣿⣿⣿⣿⣿⣿⢿⣿⠟⠂⡀⡄⢀⣂⡾⠓⣬⣌⡀⣿⣿
⣿⣿⣿⠀⣤⣿⣿⣿⠛⡘⠀⠸⠃⡠⣤⣴⣿⣧⣤⣿⣿⣿⣷⣦⠈⣿⣿⣿⣿⡿⠿⢿⡇⠀⡾⠿⣿⣿⡀⠸⢿⣿⠿⣿⡿⢿⣿⣿⠿⢿⠿⣿⡇⠠⠿⣿⠻⢿⡿⢿⣿⠿⠧⣤⣯⠀⡀⠀⣰⣾⣿⣷⣶⣿⣿⣷⣿⣿
⣿⠡⠌⠃⢻⣿⣏⠄⢠⠀⠈⠁⣀⠲⢸⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⢩⣭⣽⡟⠀⡼⠀⡇⠀⣰⡄⠸⡿⢡⠆⢀⡏⠀⣿⠇⢸⣿⠁⣰⡆⢠⣿⠇⡖⠀⣸⠀⣸⡇⠀⣯⠐⠀⢉⡁⢀⢠⠞⢿⣿⣿⣿⣿⡿⠿⣿⣿⣿
⣿⣷⣶⡆⠈⡝⠿⠇⣾⠀⠁⡐⡃⠂⢉⢻⣿⣿⣿⣿⣿⣿⣿⡏⠀⢸⣿⣿⡇⠀⣤⣾⠃⢠⡿⠃⢀⣡⡏⠀⣼⠇⠀⣿⠀⢸⡇⠀⣿⠁⢸⡿⢸⠁⣰⡟⠀⣿⠁⠀⡏⣰⡟⠁⠂⡄⣾⣧⣼⣿⣿⣿⣿⣷⣶⣿⣿⣿
⣿⣿⣿⡌⢁⢐⢃⠀⡇⠀⠘⢃⠡⠀⢀⣼⣿⡏⠉⣿⣿⣿⣿⡇⠀⣸⣿⣿⣧⡀⠻⢃⣄⠀⠐⢀⣾⣿⣇⠸⢃⣴⡀⢃⣄⠘⣠⠀⢃⣄⠘⢡⣧⠀⠟⣰⡄⠘⠀⢀⣴⣿⣧⣀⣐⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠙⣿⣿⣶⡄⠸⠃⠀⠀⣁⢹⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⣤⠆⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣶⣾⣿⠛⢿⠘⢀⠀⠀⠮⠰⠈⠭⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣥⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡏⠀⢈⡀⠀⠀⢨⣄⡠⠄⣠⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣷⣿⣿⢄⠀⠀⠂⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠡⣹⣿⠟⡛⢧⡀⠀⣭⣼⣿⠐⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⣬⡄⠁⠘⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡿⢿⣿⣷⠀⡀⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣃⠀⠘⠉⠁⠀⢥⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣷⣆⡀⠀⢄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣇⠀⢰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 1192

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

(ℹ) Images, hyperlinks and comments at https://news.techrights.org/n/2024/02/13/Union_Syndicale_Federale_on_Salaries_Remuneration_Erosion.shtml
    Gemini version at gemini://gemini.techrights.org/n/2024/02/13/Union_Syndicale_Federale_on_Salaries_Remuneration_Erosion.gmi

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Union Syndicale Fédérale on Salaries/
Remuneration Erosion⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Feb 13, 2024


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇USF⦈_


The EPO, as governed by the EPC, was meant to properly compensate its staff to
assure it can attract and also retain suitably qualified examiners. Nowadays
the_EPO_blatantly_violates_the_EPC.


                       🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇EPO is fine⦈


THE EPO's staff representatives recently shared this_5-page_letter-like
publication_from_USF, a union 'syndication' that operates across Europe and in
this case responds to rising inflation (wages_have_not_been_keeping_up_with_it
and_won't_keep_up,_either).


We thought we'd reproduce it here.


                         🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇US FLASH⦈


                         🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇US FLASH⦈


                         🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇US FLASH⦈


                         🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇US FLASH⦈


                         🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇US FLASH⦈


As readers are aware, especially those who pay close enough attention, the EPO
is in effect reducing the salaries of workers over time, even if their
experience level grows. That's also true in a number of other sectors and the
issue merits deeper debates, which politicians rarely initiate (but they do
vote to increase their own salaries). █




⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠋⠉⠉⠉⠉⠉⠉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⠿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⡇⢸⣿⠀⣿⠛⠛⠻⡗⢺⡟⠛⠛⢿⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣇⠘⠿⠀⣿⠀⣿⠀⡇⢸⡇⠸⠃⣸⠀⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⢰⣶⣶⡆⠀⠀⣶⣶⣶⠀⢀⣴⣶⡆⢸⣷⣶⡄⠀⢰⣶⣶⡆⢰⣶⣶⣶⠀⠀⠀⢹⣿⣿⣿⣿⣿⣷⣶⣿⣿⣶⣿⣶⣷⣾⣿⣶⣾⣿⣶⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⢸⣿⣿⡇⠀⠀⣿⣿⣿⠀⣾⣿⣿⠃⠈⠛⠋⠁⠀⢸⣿⣿⡇⠘⠛⠛⠛⠀⠀⠀⠈⣿⣿⣿⣿⡟⠛⡙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢻⣋⣿⣿⣿⣿⣿⣿⣿⡟⢻⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⡇⠀⠀⣿⣿⣿⠀⢻⣿⣿⣿⣶⣶⣤⡀⠀⢸⣿⣿⡇⢰⣶⣶⡆⠀⠀⠀⠀⣿⣿⣿⣿⣇⣈⠙⢻⡄⠻⢀⡇⢠⡄⢹⠃⢠⡀⢸⠀⡟⠁⣤⣽⠤⠄⠘⡇⢸⡏⠠⠄⢹⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⣿⣿⡇⠀⠀⣿⣿⣿⠀⠀⠈⠙⠛⠛⣿⣿⣿⠀⢸⣿⣿⡇⠘⠛⠛⠃⠀⠀⠀⠀⣿⣿⣿⣿⣏⣉⣁⣸⣷⠀⣼⣇⣸⣇⣸⣆⣈⣀⣸⣀⣷⣀⣉⣹⣀⣁⣀⣇⣈⣧⣈⣉⣻⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠘⣿⣿⣷⠀⣾⣿⣿⠏⢀⣴⣿⣶⡄⢰⣿⣿⡟⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣧⡾⢿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠈⠙⠛⠀⠛⠛⠁⠀⠀⠉⠛⠛⠃⠘⠛⠉⠀⠀⠘⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⡇⢠⣤⣤⡿⠃⠿⣿⠟⠃⢸⡿⠇⠺⣿⠿⠟⢿⠟⠻⢿⡇⢸⡿⠟⠻⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⡇⢠⣤⣼⠀⣉⣀⡇⠰⡇⢸⡁⢈⣀⣸⠀⣾⡿⠋⡁⢸⡇⢸⡇⢈⣀⣸⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣷⣼⣿⣿⣷⣤⣴⣿⣦⣤⣼⣷⣦⣴⣿⣦⣿⣿⣦⣴⣼⣷⣤⣷⣦⣴⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣤⣤⣤⣤⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⠀⠀⠀⠀⠀⢀⠀⠀⢀⢀⢀⠀⡀⢀⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠛⠷⣌⠹⣦⠀⠀⠀⠀⢈⣈⢉⣁⣀⡈⡀⣉⣀⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠻⣶⡙⣷⢹⣧⠀⠀⠀⠈⠈⠈⠉⠁⠁⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣴⠛⣷⢸⣧⣻⡇⣿⠀⠀⠀⠸⠣⠶⠲⠰⠂⠰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⠀⠀⠀⠀⢀⣦
⠀⠀⠀⠀⢸⡇⣠⡿⣸⠇⣿⢳⡟⠀⠀⠀⠘⠳⠸⠲⠂⠃⠠⠃⠀⠴⠶⠀⠀⠀⢀⣠⣴⣾⣿⣦⣤⣤⣤⣶⣿⣦⣄⣀⣀⣠⣴⣿⣷⣶⣶⣶⣾⣷⣤⣀⣀⣀⣀⠀⢀⣀⡀⠀⠀⠀⢀⣀⣤⣾⣿⣿⣷⣶⣶⣾⣿⣿
⠀⢀⣶⣶⣿⣛⣫⣾⢏⣾⢯⣾⢡⠂⠉⠀⢠⢤⣤⣄⢀⡀⡀⠀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⡿⢁⢀⣦⠀⢸⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿
⡀⣾⣿⣿⣿⣏⣭⣶⣿⡟⠀⠀⠀⠀⠀⠀⢠⣧⢭⡁⣍⣥⢅⠡⠭⡌⠁⠉⠉⠁⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⢿⠀⠨⣅⠁⠎⠝⠀⢸⣿⣿⣿⣿⣿⡿⢡⢸⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠉⣴⣿⡇⣀⣀⣀⣀⡀⣀⣀⣀⣀⠀⢀⣀⡀⠀⠀⡀⠀⠀⢀⡀⠀⣴⣶⠄⠸⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡆⠀⠐⢌⡄⠈⣠⠀⢸⣿⣿⣿⠟⢻⡇⣿⡌⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣼⣿⣿⣧⣿⡟⡽⣿⣧⠹⣿⣿⡿⢰⢸⣿⡇⢀⠼⣇⠀⢀⡿⣷⢄⣉⣀⣀⡼⢃⣭⣛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⠀⠀⢉⠈⠉⠉⠀⢸⣿⣿⢋⣼⠸⢃⡿⣧⠹⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⢻⣷⢻⣿⣧⢻⣿⢣⣿⠈⣿⡇⣮⣿⣻⣦⣸⣳⣏⣶⡍⣭⣶⣾⣿⣿⣿⡤⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⢃⡾⣿⠐⣠⣿⣆⢲⣶⣶⣿⣿⢃⡾⣿⣦⢞⣵⢹⣧⠹⡿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⢸⣿⣧⢻⣿⣆⠃⣾⣿⢀⣿⣧⣸⣿⣷⣿⢧⣿⡿⠋⠀⡿⡕⠉⢪⢃⣿⠀⠀⠸⠿⠿⠿⢿⣿⣿⣿⢣⢸⣿⣿⣿⣿⣿⠇⡼⣱⣸⣼⣡⣎⣿⣦⠻⣿⣿⡏⡞⣴⠹⣱⣿⣿⣧⣻⡧⢁
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣷⡹⣿⣀⡏⣿⢸⣿⣿⣼⣿⣿⣿⣿⡿⠁⠀⠀⣧⢧⣀⣜⣾⣮⣵⣶⣿⠀⠀⠀⢸⣿⡿⢡⠿⡇⢿⣿⣿⣿⣿⢸⢳⣿⡇⢧⣿⣿⡜⣿⣧⢹⡟⣸⢳⣿⣾⣿⣿⣿⡿⢃⣴⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡜⣿⣸⣿⢸⣿⡏⢻⣿⣿⣿⡿⠃⠀⠀⢠⣿⣷⣶⣿⣿⣯⡍⣛⡿⠿⢟⣡⡎⡀⢃⣏⣾⣀⣀⣉⣫⠹⠋⡎⣿⣿⣿⣾⣿⣿⣿⡜⣿⣆⡴⣳⣿⣿⡟⡁⣿⢏⣴⣿⢟⣯
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⣿⢸⠈⣿⢃⣆⢻⣿⣿⢁⣷⢠⢰⡿⡏⣻⣿⣿⣿⣿⣧⢻⣿⣿⣿⡟⣰⣿⡼⣼⠿⣻⣿⣿⡟⠈⡷⣘⣛⣿⣿⣿⣿⣿⣿⣷⣉⣉⣚⣛⣛⢋⣴⣇⠋⣼⣿⣵⣿⡇
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡇⠛⣸⣿⡘⣿⣿⢀⣗⢸⢸⣿⢇⢻⣿⣿⣿⣿⣿⢸⣿⣿⡟⢰⢧⡮⢡⣶⣿⠸⠿⠿⠇⣭⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢁⣾⡟⢻⣾⢯⣿⣿⣿⣧
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣠⡟⣌⡇⢿⣿⡌⢷⡸⠂⠿⣯⡣⠝⠻⠿⠿⠟⢘⢻⣿⡇⣽⢸⣧⠠⢮⡩⡭⣙⣛⣛⡛⠻⠿⠿⠿⠿⠿⠿⠟⣩⠀⠿⠿⢋⣴⣿⣟⣾⣸⣏⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡟⣼⡏⡇⠀⣀⣈⡀⠀⠿⠷⠦⠭⠭⠍⠸⡇⣐⠃⣯⡶⠀⢻⢸⣿⣿⣷⣶⠀⢩⣭⣬⣭⣭⣛⡛⠛⢋⣡⣶⣿⣿⠀⢋⣴⣿⡿⣫⣾⣿⣇⣼⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⡇⡇⠀⡀⠀⠀⣉⡁⢸⠀⠀⠀⠀⠀⡛⡋⠀⠐⠚⠃⡾⣸⣿⣿⣿⣿⢸⠘⡁⣿⣿⣿⢟⣡⣶⡿⣛⣵⢸⣿⣶⡿⢟⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡇⠐⣰⡄⡖⡏⠃⠘⠘⠀⠀⠀⠀⡁⡆⠀⠀⠔⣤⣦⣭⢡⣘⡫⠁⣠⣾⠃⠲⢟⣴⣿⡿⣫⣾⣿⣿⣼⡿⣫⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⣿⢿⣿⣧⣳⣠⡿⣧⠐⠑⠇⢰⢸⣦⡄⠀⠀⡅⡇⠀⢠⣟⡀⣐⣀⡲⢁⣤⠾⣿⣿⡄⠂⣾⡿⣫⣾⣿⣿⣿⣿⣧⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣻⣯⣿⣿⣿⣿⣿⣿⣽⣿⡾⣼⣷⢻⣞⣿⣿⣷⡙⣴⡜⣴⠀⣷⣤⣞⠛⠓⠒⣆⡡⢓⠄⠈⠓⠒⢒⠂⣴⡿⣣⣷⣝⢿⣧⡼⣫⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣧⣧⣿⣷⣿⣿⣿⡿⠟⠛⢫⠐⡿⠿⢿⢿⢷⠽⡯⠂⠀⠁⠀⠋⢠⠒⢰⢸⣿⢳⣿⣿⣿⣷⣭⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⣧⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⠀⠀⠀⠀⠀⢀⠀⠀⢀⢀⢀⠀⠀⢀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠛⠷⣌⠹⣦⠀⠀⠀⠀⢈⣈⢉⣁⣀⡈⡀⣉⣀⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠻⣶⡙⣷⢹⣧⠀⠀⠀⠈⠈⠈⠉⠁⠁⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣴⠛⣷⢸⣧⣻⡇⣿⠀⠀⠀⠸⠣⠶⠰⠐⠂⠰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⠀⠀⠀⠀⣠
⠀⠀⠀⠀⢸⡇⣠⡿⣼⡇⣿⢳⡟⠀⠀⠀⠸⠡⠸⠲⠂⠃⠠⠧⠀⠴⠶⠀⠀⠀⢀⣠⣤⣶⣿⣷⣤⣤⣤⣴⣾⣷⣤⣄⣀⣀⣤⣾⣷⣤⣤⣤⣤⣶⣦⣄⣀⣀⣀⠀⢀⣀⡀⠀⡀⠀⠀⡀⣀⣠⣾⣿⣿⣿⣿⣿⣿⣿
⠀⣰⣶⣶⣎⣛⣫⣾⢏⣾⢯⡾⠱⠀⢘⠀⢠⢤⣤⣄⢀⡀⡀⠀⣀⡀⣀⣀⣀⡀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⡷⢁⢁⣆⠀⢸⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿
⣠⣿⣿⣿⣿⣉⣭⣴⣿⡟⠀⠀⠀⠀⠨⠀⢠⣧⢭⡁⣍⣥⢅⠡⠭⡌⠀⠉⠉⠁⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠻⠀⠀⣁⠅⠌⠙⠀⢸⣿⣿⣿⣿⣿⡟⣀⢹⣿⣿⣿
⣿⣿⣿⣿⣿⡏⣹⣿⣿⡇⣀⣀⣀⣀⢸⣀⣀⣀⣀⠀⢀⣀⡀⠀⠀⠀⠀⠀⣀⡀⠀⣴⣶⠄⠸⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⣇⠀⠐⣌⣀⠈⢠⠀⢸⣿⣿⣿⠏⢹⡇⣿⡘⣿⣿⣿
⣿⣿⣿⣿⣿⣷⣿⣿⣿⡇⣿⢣⢻⣿⣎⢿⣿⣿⡏⣼⢸⣿⡇⢠⢾⡀⠀⢠⡿⢿⢆⣉⣀⣀⡼⢃⣭⣛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⣿⠀⠀⠉⠉⠈⠉⠀⢸⣿⣿⢃⣾⡘⢡⠟⣧⠹⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢿⣾⣧⢿⣿⣆⢻⡟⣰⣿⠘⣿⡇⣯⣿⣳⣄⣾⣼⣎⣶⡍⣭⣴⣾⣿⣿⢿⡬⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡼⢿⠐⣠⣶⡰⣶⣶⣶⣿⣿⢃⠞⣿⣿⢫⣾⡹⣷⠹⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⣿⣿⣮⢻⣿⣆⢃⣿⣿⢠⣿⣧⣸⣿⣷⡻⢷⣿⡿⠋⠀⡿⡕⠉⢺⢫⣿⠀⠀⠹⠿⠿⠿⢿⣿⣿⡿⠁⢿⣿⣿⣿⣿⣿⡟⣼⣱⡼⡶⣱⡞⣷⡘⢿⣿⣿⡏⡜⣾⡘⣵⣿⣿⣷⡽⡧⠁
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡹⣿⣰⢣⡿⢸⣿⣿⣼⣿⣿⣿⣾⡿⠁⠀⠀⣧⢧⣀⣜⣾⣮⣵⣶⣿⠀⠀⠀⢨⠿⡿⣱⠿⡈⢿⣿⣿⣿⣿⢰⢣⣿⣧⢣⣿⣿⡼⣿⡌⢿⡟⡰⣱⣿⣿⣿⣿⣿⡿⢋⣴⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡝⣇⣿⡇⢸⣿⠉⢿⣿⣿⣿⡿⠁⠀⠀⢠⣿⣷⣶⣿⣿⣯⡍⣛⡿⠿⢟⣫⡞⣠⠁⣏⡆⣁⣈⣉⣩⠹⠣⣎⣿⣿⣿⣿⣿⣿⣷⡹⣿⣈⡴⣱⣿⣿⡿⣁⢹⡟⣰⣿⡿⣫
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⢧⢸⡿⢸⣎⢿⣿⣿⢡⡗⠀⢰⣿⡏⣻⣿⣿⣿⣿⣷⢹⣿⣿⣿⡿⣡⢿⡾⡼⠿⣿⣿⣿⡏⠈⡷⣘⣻⣿⣿⣟⣻⣛⣛⣃⣉⣉⣚⣛⣛⠛⣰⣿⡈⣸⡿⣫⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡌⠃⣿⣿⡘⣿⣿⢘⣇⢸⢸⣿⢇⢻⣿⣿⣿⣿⣿⢸⣿⣿⡟⣰⢳⣧⢱⣶⣿⠸⠿⠿⠇⣭⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢃⣾⡿⢻⣿⣟⣾⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢧⣼⢣⢸⡇⣿⣿⡘⣷⡸⠂⢿⣯⡢⠝⠻⠿⠿⠟⢘⢻⣿⠃⣿⢸⣿⡠⠨⢭⣭⣙⣛⣛⡛⠿⠿⠿⠿⠿⠿⠿⠟⣋⡄⠸⠿⠟⣰⣿⡟⣵⡟⡟⣾⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⢣⣿⢸⡇⠀⣀⣉⠀⠀⠾⠷⠦⠭⠭⠍⠸⡇⣒⠂⣯⡶⠀⣿⢾⣿⣿⣿⡆⠀⢠⣭⣭⣭⣍⣛⡛⠛⢋⣡⣴⡾⣿⡏⠘⣠⣿⡿⣫⣾⣿⣷⣼⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠈⠀⢀⡈⠁⢸⠀⠀⠀⠀⠀⠛⡉⠀⠐⢚⠃⡿⣸⣿⣿⣿⣷⠐⠘⡁⢸⣿⣿⠟⣡⣶⣿⢟⣭⡆⣿⣿⣿⢟⣵⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⣼⠀⣆⢹⠆⠘⠀⠄⠀⠀⠀⡅⠀⠀⠈⠀⢤⣤⣭⡍⠐⠫⠁⣠⣾⡇⠀⠿⢡⣾⣿⢟⣵⣿⣿⣧⢿⢟⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⣿⢿⣿⣏⢧⣼⠿⡆⠉⠹⡄⢐⢸⣦⡄⠀⠀⡄⡄⠀⢠⣞⣀⢀⣐⡢⢀⣠⡾⣻⣿⣿⠘⢠⣿⢟⣵⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣻⣯⣿⣿⣿⣿⣿⣿⣼⣿⣼⣸⣷⢻⣞⣿⣿⣯⣫⣶⡹⣾⠀⣶⣤⣌⠙⠃⠂⣄⡁⠑⠀⠘⠓⠒⢒⠐⣠⣿⣫⣾⣧⡻⣿⣤⢏⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣽⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣧⣧⣿⣷⣿⣿⣿⠿⠟⠛⠣⠒⠻⢻⡿⠯⡷⡹⠟⠉⠀⠀⠀⠋⠀⠐⠂⢰⣿⣧⣿⣿⣿⣿⣮⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⣧⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢀⢀⠀⠀⢀⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠛⠷⣌⠻⣦⠀⠀⠀⠀⢈⣈⢉⣀⣀⡈⡀⣉⣀⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠻⣶⡙⣷⢹⣧⠀⠀⠀⠈⠈⠈⠉⠁⠁⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣴⠛⣷⢸⡇⢻⡇⣿⠀⠀⠀⠸⠳⠶⠲⠰⠂⠰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⢀
⠀⢀⡀⠀⢸⡇⢠⡟⣸⣇⣿⢳⡟⠀⠀⠀⠘⠡⠸⠲⠂⠃⠠⠧⠀⠴⠴⠀⠀⠀⢠⣤⣤⣶⣾⣿⣷⣤⣤⣤⣤⣶⣿⣦⣤⣀⣀⣤⣴⣶⣤⣤⣤⣤⣴⣶⣦⣤⣄⠀⢀⣀⡀⣀⢀⠀⠀⣀⣀⣀⣠⣾⣿⣿⣿⣿⣿⣿
⢠⣾⣿⣦⣈⣛⣫⣾⣿⣿⢯⡿⠁⠀⡄⠀⢠⢤⣤⣄⢀⡀⡀⠀⣀⡀⣀⣀⣀⡀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⡾⠠⢁⣶⠀⢸⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿
⣾⣿⣿⣿⣏⣋⣽⣿⣿⡇⠀⠀⠀⠀⡧⠀⢠⣧⢭⡁⣍⣥⢅⠡⠭⡌⠀⠉⠉⠁⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⢿⠀⠈⢅⠄⠈⠝⠀⠈⣿⣿⣿⣿⣿⡿⢱⢸⣿⣿⣿
⣿⣿⣿⣿⡏⣹⣿⣿⣿⡇⣀⣀⣀⣀⢠⣀⣀⣀⡀⡀⣀⣀⡀⠀⠀⡀⠀⠀⢀⡀⠀⣰⣶⠄⠸⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡌⠀⠈⢄⠄⡀⣠⠀⠀⣿⣿⣿⡿⢻⡇⢸⡈⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣬⣿⣿⡜⣿⣿⡟⣸⣧⢹⣿⡇⢀⠾⣇⠀⢀⡿⣷⢄⣉⣀⣀⡼⢃⣭⣛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣷⠀⠀⢀⠀⠈⠉⠀⢸⣿⣿⠏⣴⠘⠇⣾⣧⠹⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡾⢧⣿⡞⣿⣿⡌⢿⢰⣿⣿⢸⣿⡇⣎⣿⡽⣦⣸⢳⣟⣶⡍⣭⣶⣾⣿⣿⢿⡤⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⠇⣼⣿⠘⣰⢿⡆⢶⣶⣶⣿⣿⢃⡾⣿⣦⢞⣵⡹⣇⠻⡿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢸⣿⣿⣜⢿⣿⣆⢸⢿⡟⢸⣿⡇⣸⣿⣿⣝⢯⣿⡿⠋⠀⡿⡕⠉⢪⢋⣿⠀⠀⠸⠿⠿⠿⢿⣿⣿⡿⢋⢸⣿⣿⣿⣿⣿⠏⡼⣵⢱⡼⣱⣎⢿⣦⠻⣿⣿⡏⡼⣴⠹⣣⣿⣿⣷⢻⡧⠁
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡻⣿⢧⣷⡇⣾⣿⠿⣿⣿⣿⣿⣿⡿⠁⠀⠀⣧⢧⣀⣜⣾⣮⣵⣶⣿⠀⠀⠀⢨⣿⡿⢱⠿⡆⢿⣿⣿⣿⡿⢸⣱⣿⡇⢱⣿⣿⣎⣿⣷⠹⡟⣸⢣⣿⣾⣿⢿⣿⡿⢋⣴⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡜⣾⣿⡇⣿⡇⣄⢻⣿⣿⣿⡿⠃⠀⠀⢠⣿⣷⣶⣿⣿⣿⡍⣛⡿⠿⢟⣡⠎⡌⠃⡟⣾⣈⣈⣉⣩⠹⠡⢧⣿⣿⣿⣾⣿⣿⣿⡜⣿⣆⡴⣫⣿⣿⣿⢃⡌⡟⣰⣿⣿⡿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⢠⣿⡎⣿⣿⣿⢁⡗⢐⢰⣿⡏⣻⣿⣿⣿⣿⣧⢻⣿⣿⣿⡟⣸⣷⡼⡼⠿⢿⣿⣿⡏⠈⡷⣘⣻⣟⣿⣟⣻⣟⣛⣛⣉⣉⣚⣛⣛⡛⣡⣿⣷⣴⣿⡿⣣⣾
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣧⠁⣾⢏⣧⢸⣿⣿⢸⣇⢸⢸⣿⢃⢻⣿⣿⣿⣿⣿⢸⣿⣿⡿⢰⣧⣎⢱⣶⣿⠸⠿⠿⠇⣭⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⣴⣿⢛⣿⣿⢫⣾⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⢶⢏⣾⣿⠈⣿⣿⡌⢿⡸⠀⢿⣯⡣⠝⠻⠿⠿⠟⢘⢻⣿⡇⢸⢸⣿⡠⠮⢩⣭⣙⣛⣛⣛⠻⠿⠿⠿⠿⠿⠿⠿⠟⣋⡄⠸⠟⣡⣿⣿⣳⣿⡸⢳⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⣿⣿⣿⠀⢀⡀⣉⣀⠀⠾⠷⠦⠭⠩⠍⠸⡇⣒⠂⣯⡶⠀⢸⢸⣿⣿⣿⡆⠀⢨⣭⠍⣭⣍⣛⡛⠛⠛⣉⣤⣶⡿⣿⣇⢀⣼⣿⢟⣵⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡄⡀⠀⠀⠉⡁⢸⠠⠀⠀⠀⠀⠛⠉⠀⠐⢚⠃⡾⣸⣿⣿⣿⣇⢰⠸⢋⣄⢸⣿⡿⣃⣴⣾⡿⣫⣵⣇⣿⣿⣿⢏⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⠀⣰⣇⢠⣀⡻⠀⠘⠀⠄⠀⠀⠀⡅⠂⠀⠀⠄⡄⣴⣬⣭⡄⠋⠅⢀⣴⣿⡧⢘⠋⣴⣿⡿⣫⣾⣿⣿⣿⡸⢟⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡏⣿⣹⣿⣿⣿⣿⣿⣿⢿⣿⢻⣿⡟⣿⢿⣿⡼⣦⡟⣹⡈⠁⢨⡃⢰⢸⣦⡄⠀⠀⡄⡀⠀⢠⣟⡒⢒⠒⠂⠉⣠⣶⢟⡻⣿⡇⠀⣼⡿⣏⣾⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿
⣿⣿⣿⣿⣿⣿⣿⢻⣯⢿⣿⣿⣿⣿⣿⡼⣿⣾⣼⣿⣻⣞⣿⣿⣝⣾⣧⢿⣾⠀⣶⣤⣜⠛⠃⠒⡂⠁⠐⠄⠘⠁⠀⠒⠒⢀⣾⡿⣵⣿⣷⡹⣿⣾⢏⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣼⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣷⣧⣿⣿⣿⣿⡿⠿⠛⠛⠌⠰⠏⠻⠿⣇⠄⠻⢉⠉⠀⠀⠀⠈⠀⠀⠀⢀⣾⡟⣾⣿⣿⣿⣿⣮⣣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢏⣯⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⠀⠀⠀⠀⠀⢀⠀⠀⢀⠀⢀⠀⠀⢀⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠛⠷⣌⠻⣦⠀⠀⠀⠀⢈⣈⢉⢁⣀⡈⡀⣉⢀⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠻⣶⡙⣷⢹⣧⠀⠀⠀⠈⠈⠈⠈⠁⠁⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣴⠛⣷⢸⣧⣻⠇⣿⠀⠀⠀⠸⠳⠶⠲⠐⠂⠰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡀⠀⠀⠀
⠀⢀⠀⠀⢸⡇⢠⡟⣸⣇⣿⢲⡟⠀⠀⠀⠸⠣⠸⠰⠂⠃⠠⠧⠀⠴⠴⠀⠀⠀⢸⣿⣶⣶⣾⣿⣿⣷⣦⣤⣤⣴⣶⣿⣷⣤⣤⣤⣶⣾⣶⣤⣤⣤⣤⣶⣶⣤⣀⠀⢀⣀⡀⣀⢀⠀⢠⣀⣀⣀⣤⣶⣿⣿⣿⣿⣿⣿
⣠⣿⣧⣤⣈⣛⣫⣾⣿⣿⢯⡿⠁⠀⣤⠀⢠⢤⣤⣄⢀⡀⡀⠀⣀⡀⣀⣀⣀⡀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢘⡽⠀⢁⠤⠀⢸⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿
⣿⣿⣿⣯⣙⣫⣿⣿⣿⡇⠀⠀⠀⠀⣟⠀⢠⣧⢭⡁⣍⣥⢅⠡⠭⡌⠀⠉⠉⠁⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⠀⠀⢁⠁⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⢡⢸⣿⣿⣿
⣿⣿⣿⣿⢩⣿⣿⣿⣿⣃⣀⣀⣀⡀⣺⣀⣀⣀⢀⠀⣀⣀⡀⠀⠀⢀⠀⠀⢀⡀⠀⣴⣶⠄⠸⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⡙⠀⠀⠀⠄⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⢸⡄⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣏⡜⣿⣿⡘⣿⣿⢃⣿⣇⢻⣿⡇⢀⣴⣿⠀⠀⣾⢷⢄⣉⣀⣀⡼⢃⣭⣛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⣠⡆⠈⠉⠀⢸⣿⣿⡟⣡⢸⡇⣼⣧⢹⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⣸⣿⡜⣿⣿⡌⠏⣼⣿⣿⢸⣿⡇⣮⣾⣼⣧⣠⢧⡏⣦⡉⣭⣶⣾⣿⣿⢿⡤⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣿⣿⣿⣿⣿⣿⢃⣾⡇⠘⣰⣿⣧⠰⣶⣶⣿⣿⠏⣴⣿⣄⡴⣫⢻⡆⢿⡟
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⣝⣿⣿⣆⣿⢻⡏⣸⣿⣇⣼⣿⣿⣟⢟⣿⡿⠋⠀⡿⡕⠉⢺⢃⣿⠀⠀⠸⠿⠿⠿⢿⣿⣿⣿⢏⡄⣿⣿⣿⣿⣿⠏⡼⣵⢣⡼⣡⣦⢻⣧⡙⣿⣿⠇⡾⣉⣿⢏⣴⣿⣏⢿⣆⠁
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⡻⡿⣳⢻⡇⣿⡏⠉⣿⣿⣿⣿⣿⡿⠁⠀⠀⣧⢧⣀⣜⣾⣮⣵⣶⣿⠀⠀⠀⢨⣿⡿⢣⡾⢧⠸⣿⣿⣿⡏⡼⣹⣿⡾⢳⣿⣿⣆⢿⣷⠘⡟⣸⢣⣿⣴⣿⡿⣿⡿⢊⣡⣾
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣿⢸⢠⣿⠇⣦⢹⣿⣿⣿⡿⠇⠀⠀⢠⣿⣷⣶⣿⣿⣿⡍⣛⠿⠿⢟⣫⢊⢹⢁⣏⣾⣀⣀⣉⣩⠹⠡⢱⣿⣿⣧⣿⣿⣿⣿⡞⣿⣧⡴⣣⣿⣿⣿⠏⣄⠛⣰⣿⣿⡿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⢸⡏⣼⣿⡆⣿⣿⣿⢡⡇⠀⢰⡿⡏⣻⣿⣿⣿⣿⣧⢻⣿⣿⣿⠏⣼⣆⡘⣼⠿⢻⣿⣿⡏⠈⡷⣘⣟⣻⣿⣿⣿⣿⣻⣛⣉⣉⣚⣛⣛⡛⢋⣼⣿⣶⣿⡿⣫⣾
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⡆⢰⡟⡅⣷⢸⣿⣿⢸⣇⢸⢸⣿⢃⢻⣿⣿⣿⣿⣿⢸⣿⣿⣿⢰⣯⡛⢡⣶⣯⠸⠿⠿⠇⣭⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⠟⣰⣿⢟⢿⣿⢏⣾⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡳⡞⣼⡇⣿⢸⣿⣿⡌⣿⡸⠂⢿⣯⡢⠙⠻⠿⠿⠟⢘⢻⣿⣿⢸⣿⣧⠀⢮⣭⣭⣙⣛⣛⣛⠿⠿⠿⠿⠿⠿⠿⠿⠿⢋⣡⠸⠿⢁⣾⣿⢣⣿⣞⢫⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣿⡇⣿⠀⢀⡀⡉⠐⠀⠿⠷⠦⠭⠉⠤⠸⡇⣂⠀⣮⡶⢸⢸⣿⣿⣿⣷⣶⠀⢩⣭⡍⢩⣭⣙⡛⠛⠛⢋⣠⣴⣾⢿⣿⣀⣴⣿⡿⣣⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡏⢀⢃⡄⡠⣀⠉⠁⢸⠠⠀⠀⠀⠀⡛⠉⠀⠐⣚⠋⣼⣻⣿⣿⣿⣷⢰⠸⢏⣴⢸⣿⣿⢃⣤⣾⣿⢟⣽⣾⡼⣿⣿⡿⣫⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⡇⣷⠀⣼⡇⢠⡠⠌⠄⠘⢈⠀⠀⠀⠀⠁⠀⠀⠈⠤⢄⣤⡄⢭⣉⠘⠁⢀⣴⣿⣿⠀⠛⣵⣿⣿⢟⣵⣿⣿⣿⣷⡹⣫⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣟⣿⣹⣿⣿⣿⣿⣿⣿⢿⣿⢹⣿⡏⣿⣿⣿⡹⣶⢣⢰⠘⢠⠸⠁⠰⢸⣢⡀⠀⠀⡄⠆⠀⢠⣟⠒⠂⠂⠂⠀⢀⣶⡿⡛⣿⣿⠀⣰⣿⡿⣡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿
⣿⣿⣿⣿⣿⣿⣿⣻⣏⣿⣿⣿⣿⣿⣿⡼⣿⡿⣼⣿⣻⣞⣿⣷⣥⣿⣏⢷⣾⠀⣦⣤⣌⠓⠁⠒⠄⠁⠒⠀⠈⠃⠀⠀⠲⠂⣴⡿⣫⣾⣿⡜⢿⣶⡿⣩⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣷⣧⣿⣿⣿⣿⡿⠿⢟⠛⠨⠐⠾⡻⠿⢂⠆⠙⠙⠀⠀⠀⠀⠉⠀⠐⠀⠀⣼⡿⣵⣿⣿⣿⣿⣮⣝⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣏⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⠀⠀⠀⠀⠀⢀⠀⠀⢀⢀⢀⠀⠀⢀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠛⢷⣌⠹⣦⠀⠀⠀⠀⢈⣈⢉⣁⣀⡈⡀⣉⣀⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠻⣶⡙⣷⢹⣧⠀⠀⠀⠈⠈⠈⠀⠁⠁⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣴⠟⣷⢸⡇⣻⡇⣿⠀⠀⠀⠸⠳⠶⠲⠠⠂⠰⠆⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⢀⣠⣄⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⠀⠀⠀
⠀⠀⠀⠀⢸⡇⣠⡟⣸⡇⣿⢰⣟⠀⠀⠀⠸⠣⠸⠴⠂⠃⠠⠧⠀⠤⠰⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣤⣶⣾⣿⣶⣶⣶⣶⣾⣷⣦⣤⣤⣤⣴⣾⣶⣤⠀⢀⣀⡀⣀⠀⠀⢠⣤⣤⣤⣤⣶⣿⣿⣿⣿⣿⣿
⣰⣿⣧⣤⣈⣛⣫⣾⣿⣿⢯⡿⠋⠉⣶⠀⢠⢤⣤⣄⢀⡀⡀⠀⣀⡀⣀⣀⣀⡀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢈⠜⠁⢁⠦⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣯⣙⣻⣿⣿⣿⡇⠀⠀⠀⠀⣿⠀⢠⣧⢭⡁⣍⣥⢅⠡⠭⡌⠀⠉⠉⠁⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠆⠀⠁⠀⢸⣿⣿⣿⣿⣿⣿⢏⠸⣿⣿⣿
⣿⣿⣿⣿⢩⣿⣿⣿⣿⣃⣀⣀⣀⡀⣻⣀⣀⣀⢀⠀⣀⣀⡀⠀⠀⢀⠀⠀⠀⠀⠀⣴⣶⠄⠸⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢈⢻⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⢸⡆⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣏⡜⣿⣿⡘⣿⣿⢃⣾⡇⢻⣿⡇⢀⣴⣻⡀⠀⢸⣧⢀⣉⣀⣀⡼⢃⣭⣛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢸⡆⠀⠀⣠⣶⠈⠉⠀⢸⣿⣿⡿⢋⢸⡿⢸⣧⢹⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣸⣿⡜⣿⣿⡌⠏⣼⣿⣿⢸⣿⡇⣞⣾⡿⣷⡀⣯⡞⣄⠍⣭⣶⣾⣿⣿⣿⡤⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣿⣿⣿⣿⡿⢡⣿⡇⠃⣼⡿⣿⡆⢶⣶⣿⣿⠏⣴⣿⠘⣡⢟⢻⡄⢿⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⣝⣿⣿⣆⣿⢻⡏⣸⣿⣧⣸⣿⣿⣞⠿⣼⡷⠋⠀⡿⡕⠉⢪⢃⣿⠀⠀⠸⠿⠿⠿⢿⣿⣿⣿⡟⡠⢸⣿⣿⣿⣿⢃⡟⡅⣧⣼⣫⣶⡹⣿⣎⢻⣿⢋⣾⠛⣿⢟⣵⣾⡏⣿⡌⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⡻⡿⣳⢻⠇⣿⡏⠙⣼⣿⣿⣿⣷⡿⠁⠀⠀⣧⢧⣀⣜⣾⣮⣵⣶⣿⠀⠀⠀⢨⣿⡿⢋⡔⢳⠘⣿⣿⣿⡇⡾⣱⣷⢻⢱⣿⣿⣧⢻⣿⡆⠏⣼⢣⣇⣵⣿⡿⣿⡿⢈⣡⣾
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣿⢸⢠⣿⠇⣦⢹⣿⣿⣿⡿⠃⠀⠀⢠⣿⣷⣶⣿⣿⣿⡍⣛⡿⠿⢟⣡⠞⣿⢁⡟⣼⣀⣀⣈⣩⠹⠡⢱⣿⣿⣦⣿⣿⣿⣿⣇⣿⣷⡾⣫⣿⣿⣿⠏⣄⠛⣰⣿⣿⡿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⢸⡏⣼⣿⡆⣿⣿⣿⢁⡖⢠⢰⣿⡏⣻⣿⣿⣿⣿⣧⢻⣿⣿⣿⡏⣴⠈⡜⣾⠿⢿⣿⣿⡏⠈⡷⣙⣿⣿⣿⣿⣿⣟⣿⣋⣉⣑⣚⣛⣛⡛⢋⣼⣿⣶⣿⡿⣫⣾
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⡆⢰⡟⡅⣷⢸⣿⣿⢘⡇⢺⢸⣿⢇⢻⣿⣿⣿⣿⣿⢸⣿⣿⣿⢰⣏⡛⢡⣶⣿⠸⠿⠿⠇⣭⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⠟⣰⣿⢟⢻⣿⢏⣾⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡱⡞⣼⡇⣿⢸⣿⣿⡌⣷⡸⠂⢿⣯⡣⠝⠻⠿⠿⠟⢘⢻⣿⣿⡄⡿⣧⠠⢮⣭⣭⣙⣛⣛⡛⠿⠿⠿⠿⠿⠿⠿⠿⠿⢋⣡⠸⠿⢁⣾⣿⢣⣾⣞⢫⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣿⡇⣿⢀⢀⡀⠉⢰⠀⠿⠷⠦⠭⠭⠭⠸⡇⣒⠂⣮⡶⢸⢃⡇⣿⣿⣷⣶⠀⢩⣭⡍⢨⣭⣙⡛⠓⠛⢋⣠⣴⣾⢿⣿⣀⣴⣿⡿⣣⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡏⢈⢃⡄⠡⠀⣈⡁⠰⠀⠀⠀⠀⠀⡛⠉⠀⠐⣚⠋⣼⢳⡿⣿⣿⣿⢰⠸⢏⣴⢸⣿⣿⢃⣤⣾⣿⢟⣽⣾⡼⣿⣿⡿⣫⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⡇⣷⠀⣼⡇⠱⠠⢁⠂⠘⠀⠀⠀⠀⠀⡅⠆⠀⠈⠠⢄⣤⠥⠘⡉⠉⠋⣀⣴⣿⣿⠈⠘⣱⣿⣿⢟⣵⣿⣿⣿⣷⡹⣫⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣟⣿⣹⣿⣿⣿⣿⣿⣿⢿⣿⢹⣿⡏⣿⣿⣿⡹⣶⢣⢰⠘⢠⠐⡀⠐⢸⣦⡀⠀⠀⡄⠀⠀⢠⡏⢀⠀⠀⠂⠉⢂⣶⡿⡛⣿⣿⠀⣰⣿⡿⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿
⣿⣿⣿⣿⣿⣿⣿⣻⣏⢿⣿⣿⣿⣿⣿⡾⣿⡿⣼⣿⣻⣞⣿⣷⣥⣿⣏⢷⣾⠀⣶⡤⣞⠛⠂⠒⠆⠁⠐⠀⠘⠁⠀⠂⠐⠀⣴⡿⣫⣾⣿⡜⢿⣶⡿⣩⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣷⣧⣿⣿⣿⣿⡿⠿⠟⠛⠨⠰⠾⠋⠿⢈⠄⠉⠁⠀⠀⠀⠀⠀⠀⠐⠀⠀⣼⡿⣵⣿⣿⣿⣿⣮⣝⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣏⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⠀⠀⠀⠀⠀⢀⠀⠀⢀⢀⢀⠀⡀⢀⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠛⠷⣄⠻⣦⠀⠀⠀⠀⢈⣈⢉⣁⣀⡈⡀⣉⣀⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠻⣶⡙⣷⢹⣧⠀⠀⠀⠈⠈⠈⠉⠁⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣴⠛⣷⢸⡇⣻⡇⣿⠀⠀⠀⠸⠳⠶⠲⠰⠂⠰⠂⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⢀⣠⣀⣀
⠀⠀⠀⠀⢸⡇⣠⡟⣸⠇⣿⢳⣟⣀⣄⠀⠸⠳⠸⠲⠢⠃⠨⠣⠠⠰⠰⠀⠀⠀⢠⣶⣿⣿⣷⣶⣶⣿⣿⣿⣶⣤⣤⣤⣶⣾⣿⣿⣶⣿⣿⣿⣷⣤⣤⣤⣤⣴⣾⠀⢀⣀⠀⠀⢀⠀⢰⣾⣿⣶⣦⣤⣶⣾⣿⣿⣿⣿
⣴⣄⠀⣤⣈⣛⣫⣾⣿⣿⢯⡿⠋⠀⣽⠀⢠⢤⣤⣄⢀⡀⡀⠀⣀⡀⣀⣀⣀⡀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⡷⠁⢀⣄⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣦⣬⣙⣿⣿⣿⣿⡇⠀⠀⠀⠀⡷⠀⢠⣧⢭⡁⣍⣥⢅⠡⠭⡌⠀⠉⠉⠁⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⢀⠄⠈⠉⠀⠀⣿⣿⣿⣿⣿⣿⡟⠹⣿⣿⣿
⣿⣿⣿⣏⣿⣿⣿⣿⣿⢁⣀⣀⣀⡀⣯⣀⣀⡀⢀⢀⣀⣀⡀⠀⠀⢀⠀⠀⠀⠀⠀⣰⣶⠄⠸⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠙⢿⠀⠈⠈⢀⠀⠠⠀⢀⣿⣿⣿⣿⣿⣿⢰⡇⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡿⡾⣵⢹⣿⣧⠹⣿⡿⣱⣿⡌⣿⣿⡇⢀⡴⢿⡄⠀⣼⣷⢀⣉⣀⣀⡼⢃⣭⣛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣾⡈⠀⠀⣠⣾⡀⠀⠀⢸⣿⣿⣿⠟⢻⡿⢸⣇⢻⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣇⢻⣿⣧⢻⣿⣷⡙⠅⣿⣿⡇⣿⣿⡇⣞⣾⡟⣷⣀⢯⡜⣄⠍⣭⣶⣾⣿⣿⣿⡤⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⣿⡿⢁⣿⡇⢃⣾⡿⣿⣇⢲⣶⣿⣿⠟⣡⡆⠻⣣⡿⢿⡌⢿⢀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣧⢻⣿⣿⣄⡿⢻⡇⣿⣿⡇⣼⣿⣿⣞⠿⣾⡿⠋⠀⡿⡕⠉⢪⢃⣿⠀⠀⠸⠿⠿⠿⢿⣿⣿⣿⡟⢡⢸⣿⣿⣿⡿⢡⡟⡍⣧⡾⣫⣶⡹⣿⣆⠹⣿⢃⡾⢿⣿⡾⣫⣾⡼⣿⡈⠸
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣝⠿⡟⣽⢸⢃⣿⡇⠉⣿⣿⣿⣿⣿⡿⠁⠀⠀⣧⢧⣀⣜⣾⣪⣵⣶⣿⠀⠀⠀⢨⣿⣿⠟⡰⢻⡘⣿⣿⣿⠇⡟⣽⣇⡿⣱⣿⣿⣷⣻⣿⡇⢁⣾⢣⡞⣫⣾⡿⣿⣷⠙⣡⣾
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡇⣿⢸⣿⢡⣧⢹⣿⣿⣿⡿⠃⠀⠀⢠⣿⣷⣶⣿⣿⣿⡍⣛⡿⠿⣟⣡⢾⣿⢃⢞⣾⣈⣀⣈⣩⠙⠰⣹⣿⣿⣴⣿⣿⣿⣿⣇⣿⣷⡿⣣⣿⣿⣿⡟⣠⠙⣡⣾⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⢸⢃⣾⢿⡆⣿⣿⣿⢀⡗⢀⢰⡿⡏⣻⣿⣿⣿⣿⣷⢻⣿⣿⣿⡏⡀⠃⡎⡾⠿⢿⣿⣿⡏⠈⡳⣙⣿⣻⣿⣿⣿⣛⣛⣋⣉⣑⣛⣛⣛⣛⢋⣼⣿⣷⣿⣿⢟⣵
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢻⡈⣸⢫⡆⣇⢹⣿⣿⢸⡇⢸⢸⣿⢃⢿⣿⣿⣿⣿⣿⢸⣿⣿⣿⡇⡟⠆⢱⣶⣷⠸⠿⠿⠇⣭⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣡⣾⢟⢻⣿⢟⣵⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⢣⣿⡇⣿⢸⣿⣿⡌⣷⡸⠂⢿⣯⡣⠝⠻⠿⠿⠟⢘⢻⣿⣿⡇⠇⣷⡀⠾⢭⣭⣙⣛⣛⡛⠿⠿⠿⠿⠿⠿⠿⠿⠿⢛⣡⡄⠟⢡⣾⣿⢏⣾⣧⣣⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣼⣿⢻⡏⢀⢀⠀⠉⡰⠀⠿⠷⠦⠭⠭⠭⠸⡇⣒⠂⣯⡶⢸⡇⡄⣿⣿⣿⡆⠀⢠⣭⡍⢩⣭⣙⡛⠓⠓⠛⣡⣴⣾⢿⣿⣧⣴⣿⡿⣣⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⡠⢁⠀⢠⡀⢈⡁⢠⠠⠀⠀⠀⠀⡛⡉⠀⠐⢚⠛⣼⢳⡿⣿⣿⣇⢸⠸⢏⣼⢸⣿⣿⠇⣠⣴⣿⢟⣭⣶⣧⢿⣿⡿⢯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣿⣿⣿⣿⢸⡇⢁⣿⡀⣦⡜⢨⡀⠐⠀⠐⠀⠀⠀⡁⠆⠀⠈⢀⢤⠄⡵⢤⣫⠉⠋⢀⣴⣾⣿⠈⠈⣡⣾⣿⣟⣵⣿⣿⣿⣿⣷⣛⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⢿⣿⢻⣿⡟⣿⢿⣧⢻⡾⣳⢡⠈⢠⢸⠄⠐⢸⣆⡀⠀⠀⡂⠀⠀⢠⣟⠒⠒⠒⠂⠑⢃⣴⡿⣫⢿⣿⠀⣰⣿⣿⣫⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿
⣿⣿⣿⣿⣿⣿⣿⣹⣯⣿⣿⣿⣿⣿⣿⡾⣿⡿⣼⣿⣻⣞⣿⣧⣵⣿⣟⣷⣿⠈⣷⣤⣞⠛⠀⠂⠄⠁⠐⠀⠈⠂⠀⠂⠐⠂⣰⣿⢯⣾⣿⣎⢿⣶⡿⣫⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣷⣷⣿⣿⣿⣿⡿⠿⠛⠛⠬⡐⠾⠟⠿⡗⠢⠛⠂⠀⠀⠀⠀⠀⠀⠐⠀⠀⣼⣿⣱⣿⣿⣿⣿⣷⣭⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⣧⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢀⢀⠀⠀⢀⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠛⠷⣄⠻⣦⠀⠀⠀⠀⢈⣈⢉⣁⣀⡈⡀⣉⣀⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠻⣶⡙⣷⢹⣧⠀⠀⠀⠈⠈⠈⠉⠁⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣴⠛⣷⢸⣧⣻⡇⣿⠀⠀⠀⠸⠳⠶⠰⠰⠂⠰⠂⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⢀⣠⣀⣀
⠀⠀⠀⠀⢸⡇⣠⡟⣸⠇⣿⢳⣟⠀⣤⠀⠸⠳⠸⠲⠢⠃⠨⠣⠠⠰⠰⠀⠀⠀⢠⣶⣿⣿⣷⣶⣶⣿⣿⣿⣶⣤⣤⣤⣶⣾⣿⣿⣶⣾⣿⣿⣷⣤⣤⣤⣤⣴⣾⠀⢀⣀⠀⠀⢀⠀⢰⣾⣿⣶⣦⣤⣶⣾⣿⣿⣿⣿
⣶⡄⠀⣤⣈⣛⣿⣿⣿⣾⢯⡿⠁⠀⣟⠀⢠⢤⣤⣄⢀⡀⡀⠀⣀⡀⣀⣀⣀⡀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⡧⠁⢀⣄⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣦⣬⣩⣿⣿⣿⣿⠁⠀⠀⠀⠠⡯⠀⢠⣧⢭⡁⣍⣥⢅⠡⠭⡌⠀⠉⠉⠁⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢁⠄⠈⠁⠀⠀⣿⣿⣿⣿⣿⣿⡟⠹⣿⣿⣿
⣿⣿⣿⣹⣿⣿⣿⣿⡏⣀⠀⣀⣀⠀⣿⣀⡀⣀⡀⣀⣀⣀⡀⠀⠀⢀⠀⠀⠀⠀⠀⣰⣶⠄⠸⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠙⢿⠀⠀⠈⢀⠀⠠⠀⢀⣿⣿⣿⣿⣿⣿⢰⡆⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣏⣶⢹⣿⣧⠻⣿⢁⣿⣷⢸⣿⣿⡇⢀⡴⢿⡄⠀⣼⣷⢀⣉⣀⣀⡼⢃⣭⣛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣾⡈⠀⠀⣠⣾⡀⠀⠀⢸⣿⣿⣿⠟⢻⡿⢸⣇⢻⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣹⣿⣯⢿⣿⣧⡙⢸⡿⣿⢸⣿⣿⡇⣞⣾⡟⣷⣀⢯⡜⣄⠍⣭⣶⣾⣿⣿⢿⡤⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⣿⡿⢁⣿⡇⢃⣾⡿⣿⣇⢲⣶⣿⣿⠟⣡⡆⠹⣣⡾⢿⡌⢿⢀
⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣧⣻⣿⣿⡾⣵⣿⠈⣿⠿⡇⣼⣿⣿⣞⠟⣾⡿⠋⠀⡿⡕⠉⢪⢃⣿⠀⠀⠸⠿⠿⠿⢿⣿⣿⣿⡟⢡⢸⣿⣿⣿⡿⢡⡟⡌⣧⡾⣫⣶⡹⣿⣆⠹⣿⢃⣾⢿⣿⡾⣫⣾⡸⣿⡌⠘
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣝⢿⣹⣿⣿⢠⣿⢀⠱⣿⣿⣿⣿⣿⡿⠁⠀⠀⣧⢧⣀⣜⣾⣮⣵⣶⣿⠀⠀⠀⢨⣿⣿⠟⡰⢻⡘⣿⣿⣿⠇⡟⣽⣧⡿⣱⣿⣿⣷⣻⣿⡇⢡⣾⢣⡞⣫⣾⡿⢣⢰⠝⣡⣾
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡟⣿⢸⡏⣼⡆⢿⣿⣿⣿⡿⠃⠀⠀⢠⣿⣷⣶⣿⣿⣿⡍⣛⡿⠿⣟⣡⢾⣿⢃⢞⣾⣈⣀⣈⣩⠙⠰⣹⣿⣿⣴⣿⣿⣿⣿⣇⣿⣷⡿⣣⣿⣿⣿⡿⣡⣿⢀⣾⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⠸⢰⣏⢻⡸⣿⣿⣿⢁⡇⢠⢰⡿⡏⣻⣿⣿⣿⣿⣷⢻⣿⣿⣿⡏⡀⠃⡎⡾⠿⣿⣿⣿⡏⠈⡳⣙⣿⣿⣿⣿⣿⣟⣛⣋⣉⣑⣛⣛⣛⣛⠛⣰⣿⣿⣿⣿⢟⣵
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡹⣄⡿⣼⡾⡇⣿⣿⣿⢸⡇⢺⢸⣿⢇⢻⣿⣿⣿⣿⣿⢸⣿⣿⣿⡇⡟⠄⢱⣶⣿⠸⠿⠿⠇⣭⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⣿⡿⢋⣼⡿⣱⢹⡿⣵⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡻⢱⣿⣇⡇⣿⣿⣿⡌⣷⡸⠂⢿⣯⡣⠝⠻⠿⠿⠟⢘⢻⣿⣿⡇⠇⣷⡐⠾⢭⣭⣙⣛⣛⡛⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⣋⣴⡇⢟⣰⣿⡟⣵⣿⣧⣸⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⢻⡇⣀⠀⠀⠉⡠⠀⠿⠷⠦⠭⠭⠭⠸⡇⣒⠃⣮⡶⢸⡇⡄⣿⣿⣿⡆⠀⢨⣭⣭⢍⣤⢘⡛⠛⠛⠛⣁⣤⣶⡿⢿⣿⣷⣾⣿⣫⣾⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠇⣼⡇⢡⣈⢈⠁⢨⠠⠀⠀⠀⠀⡛⠉⠀⢐⢚⠛⣼⢳⡿⣿⣿⣇⢸⢸⠟⣵⣿⣿⢸⠀⢀⣤⣾⣿⢟⣽⣾⣿⣸⣿⢟⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡆⢰⠟⠀⣰⠜⢉⠃⢘⠀⠀⠂⠀⠀⡃⠆⠀⠈⠁⢤⠅⣵⣄⠫⢉⠋⢈⣤⣾⣿⣿⡏⠸⣡⣿⣿⢟⣵⣿⣿⣿⣿⣧⣣⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣟⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡟⣿⢿⣇⢿⢣⣿⢇⠋⠀⢸⠀⢰⢸⣦⡀⠀⠀⡄⠀⠀⢠⣟⠒⠒⠒⠒⠑⠄⣠⣿⡿⣣⡆⣿⣇⣰⣿⢟⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿
⣿⣿⣿⣿⣿⣿⣿⢻⣧⢿⣿⣿⣿⣿⣿⡿⣿⣾⣼⣿⣻⣏⣿⣧⣿⣿⣞⢶⣿⠘⣷⡤⣞⠛⠑⠂⠂⠡⠐⠀⠘⠁⠀⠒⠐⠂⢀⣼⡿⣫⣾⣿⣷⡹⣿⢟⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣷⣧⣿⣷⣿⣿⣿⠿⠟⠛⠃⠔⠾⠿⢿⣛⠇⠋⠣⠁⠀⠀⠀⠀⠀⠒⠀⢈⣠⣾⢟⣽⣿⣿⣿⣿⣿⣮⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢏⣯⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⠀⠀⠀⠀⠀⢀⠀⠀⢀⢀⢀⠀⡀⢀⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠛⠷⣌⠹⣦⠀⠀⠀⠀⢈⣈⢉⣁⣀⡈⡀⣉⣀⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠻⣶⡙⣷⢹⣧⠀⠀⠀⠈⠈⠈⠉⠁⠁⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣴⠛⣷⢸⣧⣻⡇⣿⠀⠀⠀⠸⠳⠶⠲⠐⠂⠰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⢀⣤⣄
⠀⠀⠀⠀⢸⡇⣠⣟⣸⠇⣿⢳⡟⠀⢀⠀⠘⠳⠸⠲⠂⠃⠨⠃⠀⠶⠰⠀⠀⠀⢀⣤⣾⣿⣷⣶⣶⣶⣶⣿⣷⣦⣤⣤⣤⣴⣾⣿⣶⣶⣶⣿⣿⣦⣄⣀⣀⣀⣤⠀⢀⣀⡀⠀⠀⠀⢠⣴⣾⣿⣿⣶⣶⣶⣾⣿⣿⣿
⣦⡀⠀⣤⣈⣻⣿⣿⣏⣾⢯⣿⠁⢰⡽⠀⢠⢤⣤⣄⢀⡀⡀⠀⣀⡀⣀⣀⣀⡀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⠏⠀⢀⣄⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣴⣬⣽⣿⣿⣿⡟⠁⠀⠀⠀⢸⡯⠀⢠⡥⢭⡁⣍⣥⢅⠡⠭⡌⠀⠉⠉⠁⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⠀⠈⢁⠄⠈⠅⠀⠀⣿⣿⣿⣿⣿⣿⢏⠸⣿⣿⣿
⣿⣿⣧⣼⣿⣿⣿⣿⡇⣀⠀⣀⣀⢘⣯⡀⣀⣀⢀⣀⣀⣀⡀⠀⠀⡀⠀⠀⢀⠀⠀⣴⣶⠄⠸⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⢹⠀⠀⠈⠀⠀⠠⠀⢀⣿⣿⣿⣿⣿⣿⢸⡆⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣇⢇⣧⢻⣿⣧⢻⠇⣿⣿⡌⣿⣿⣿⡇⢀⡴⣿⠀⠀⣾⣷⢄⣉⣀⣀⡼⢃⣭⣛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢸⡌⠀⠀⢠⣶⠀⠀⠀⢸⣿⣿⡟⣁⢸⡿⢸⣇⢻⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣼⣿⣯⢿⣿⣧⢸⡿⢻⡇⢿⣿⣿⡇⣮⣾⡼⣧⣸⢳⣞⣦⡉⣭⣶⣾⣿⣿⢿⡤⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⢃⣿⡇⢋⣴⣿⣿⡄⢶⣶⣿⣿⠏⣴⣿⣈⣡⢫⢻⡌⢿⢉
⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣧⣻⣿⣿⢳⡇⣷⢸⣿⠸⡇⣸⣿⣿⣝⢯⣿⡿⠋⠀⡿⡕⠉⢺⢃⣿⠀⠀⠸⠿⠿⠿⢿⣿⣿⣿⡟⡀⢸⣿⣿⣿⣿⢃⡞⣄⣧⣾⣫⣶⢹⣿⣌⢻⣿⢋⣾⡉⣿⠟⣱⣿⡏⢻⣌⠈
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡝⡟⣿⡇⣿⢸⡏⣄⠳⣿⣿⣿⣿⣿⡿⠁⠀⠀⣧⢧⣀⣜⣾⣪⣵⣶⣿⠀⠀⠀⢨⣿⣿⠏⡔⢷⠸⣿⣿⣿⡏⡼⣱⣿⢹⢳⣿⣿⣧⢿⣿⡌⢃⣾⢣⣷⣱⣿⣿⢏⡔⠘⣡⣾
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣿⡇⣿⠸⢰⣿⡄⣿⣿⣿⣿⡿⠇⠀⠀⢠⣿⣷⣶⣿⣿⣿⡍⣛⠿⠿⣟⣣⠎⢿⠏⢜⣾⣀⣀⣉⣩⠙⠡⢱⣿⣿⣧⣿⣿⣿⣿⡎⣿⣧⡾⣣⣿⣿⣿⡿⢡⣾⣷⣴⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⠀⣿⣁⣿⡸⣿⣿⣿⢁⡆⢀⢰⡿⡏⣻⣿⣿⣿⣿⣷⢻⣿⣿⣿⡟⣰⡈⠈⣾⠿⢿⣿⣿⡟⠈⡷⣘⣿⣟⣿⣿⣟⣿⣻⣋⣉⣉⣚⣛⣛⣛⡛⣡⣿⢿⣿⣿⡿⣫
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⢧⣿⢸⡇⣿⣿⣿⢨⡇⢺⢸⣿⢃⢻⣿⣿⣿⣿⣿⢸⣿⣿⣿⢠⣏⡛⢡⣶⣯⠸⠿⠿⠇⣭⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⣿⠟⣰⣿⢣⡏⣿⢫⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡛⣾⣿⢸⡇⣿⡟⢿⡌⣷⠸⠂⢿⣯⡢⠙⠻⠿⠿⠟⢘⢻⣿⣿⡈⣿⣧⠀⠺⣭⣭⣙⣛⣛⡛⠻⠟⠻⠿⠿⠿⠿⠿⠿⠛⣋⣴⣾⡀⣡⣾⡿⣣⣿⣿⣤⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠃⡆⢠⠀⡉⣰⠀⠷⠷⠦⠭⠭⠴⠸⣇⣒⠀⣯⡶⢸⢃⣇⣿⣿⣷⣶⠀⢩⣭⣭⡭⣡⣴⠀⠛⠛⠛⣁⣤⣶⣿⢟⡛⣿⣿⣿⢟⣵⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⠐⢠⣿⠀⢠⢀⢈⠁⢸⠠⠀⠀⠀⠀⠙⠉⠀⢐⣚⠋⣼⣹⡿⢿⣿⣿⢸⢸⠟⣡⣾⣿⣿⠀⠀⣠⣾⣿⡿⣫⣶⣿⣷⢻⣟⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣄⡟⡌⠀⣄⠘⠌⡄⠰⢀⡂⠀⠀⠀⠄⠆⠀⢈⠀⢢⡤⣵⣂⠛⠍⠛⠈⣠⣾⣿⠿⣿⣿⠀⣼⣿⡿⣻⣾⣿⣿⣿⣿⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣟⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⣿⢿⣏⢟⣼⣧⣇⠃⡀⢠⡂⢰⢸⣦⡀⠀⠀⡄⡀⠀⢸⣞⠒⠂⠂⠂⠙⡂⢠⣾⣿⢟⣵⣇⣿⣿⣾⢿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣻⣧⣿⣿⣿⣿⣿⣿⣼⣿⣾⣽⣿⣻⣏⣿⣿⣿⣿⣜⢿⣿⠈⣷⣤⣞⠛⠑⠒⡂⠁⠐⠀⠀⠁⠀⠀⢂⠂⠀⣰⣿⡿⣣⣿⣿⣿⣜⠿⣫⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣹⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣷⣧⣿⣷⣿⣿⣿⡿⠟⠛⠃⠐⠻⢹⠿⣑⠘⠙⠣⠀⠀⠀⠀⠀⠀⠐⠀⣠⣤⣶⠿⣫⣾⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣧⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⠀⠀⠀⠀⠀⢀⠀⠀⢀⢀⢀⠀⠀⢀⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠛⠷⣌⠹⣦⠀⠀⠀⠀⢈⣈⢉⣁⣀⡈⡀⣉⣀⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠻⣶⡙⣷⢹⣧⠀⠀⠀⠈⠈⠈⠉⠁⠁⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣴⠛⣷⢸⣧⣿⡇⣿⠀⠀⠀⠸⠳⠶⠲⠰⠂⠰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⠀⠀⠀⠀⣠
⠀⠀⠀⠀⢸⡇⣠⣿⣼⡇⣿⢳⡟⠀⠀⠀⠸⠣⠸⠲⠂⠃⠠⠧⠀⠴⠶⠀⠀⠀⢀⣤⣤⣶⣿⣷⣤⣤⣤⣴⣾⣷⣤⣄⣀⣀⣤⣾⣷⣦⣤⣤⣤⣶⣦⣄⣀⣀⣀⠀⢀⣀⡀⣀⡀⠀⠀⠀⣀⣠⣾⣿⣿⣿⣿⣿⣿⣿
⣦⡀⠀⣤⣈⣿⣿⣿⢏⣾⢯⣾⠁⠠⡐⠀⢠⢤⣤⣄⢀⡀⡀⠀⣀⡀⣀⣀⣀⡀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⡲⢀⢁⡆⠀⢸⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿
⣿⣷⣤⣬⣿⣿⣿⣿⠟⠁⠀⠀⠀⠄⡀⠀⢠⣥⢭⡁⣍⣥⢅⠡⠭⡌⠀⠉⠉⠁⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⢿⠀⠈⢁⠀⠊⠉⠀⢸⣿⣿⣿⣿⣿⡿⢁⢸⣿⣿⣿
⣿⣿⣧⣿⣿⣿⣿⣿⣀⡀⡀⣀⣀⢨⡐⢀⣀⠀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⣀⡀⠀⣴⣶⠄⠸⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡆⠀⠀⠉⠄⠀⢀⠀⢸⣿⣿⣿⠟⢻⡇⣾⡈⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⢻⣿⣆⠇⣿⣿⡇⢿⣿⣿⣿⡇⢠⢾⡄⠀⢰⡿⣿⢆⣉⣀⣀⡼⢃⣭⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⠀⠀⢉⠀⠈⠉⠀⢸⣿⣿⢋⣼⠸⢃⡿⣧⠹⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⢇⣿⣿⣏⢿⣿⣦⣿⣣⣿⢸⣿⣿⢿⡇⣮⣯⢷⣄⣿⣿⣎⣶⡍⣭⣴⣾⣿⣿⢿⡬⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⢃⡾⣿⠐⣠⣿⡆⢲⣶⣶⣿⣿⢃⡾⣿⣶⢞⣵⣹⣧⠹⡿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⢻⣿⢧⣿⢿⡆⣿⡇⠸⣧⣼⣿⣷⡻⢷⣿⡿⠋⠀⡟⡕⠉⢻⢻⣿⠀⠀⠹⠿⠿⠿⢿⣿⣿⣿⢣⢸⣿⣿⣿⣿⣿⡇⡾⣱⣸⣴⣣⣎⣿⣦⠻⣿⣿⡇⡞⣴⠻⣱⣿⣿⣧⠛⢁⠁
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡹⢸⣿⣼⡇⢹⢰⡆⢿⣼⣿⣿⣿⣾⡿⠁⠀⠀⣧⢧⣀⣜⣾⣪⣵⣶⣿⠀⠀⠀⢨⣿⡿⢡⠿⣆⢿⣿⣿⣿⣿⢸⢱⣿⡇⢧⣿⣿⡜⣿⣧⢹⡟⣸⢳⣿⣾⣿⣿⢏⣵⡇⢠⣾
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣼⣿⡿⣧⠀⣾⢿⡈⣿⣿⣿⣿⡿⠇⠀⠀⢠⣿⣷⣶⣿⣿⣿⡍⣛⠿⠿⣟⣫⡞⡀⠃⣏⣾⣈⣀⣉⣩⠹⠋⣎⣿⣿⣿⣿⣿⣿⣿⡜⣿⣄⡴⣳⣿⣿⣿⣿⢃⣾⣿⣷⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣰⡏⡎⣧⢻⣿⣿⣿⢁⡇⠰⢰⣿⡏⣻⣿⣿⣿⣿⣷⢻⣿⣿⣿⡟⣰⣿⡼⡼⠿⢿⣿⣿⡏⠈⡷⣘⣿⣿⣿⣿⣿⣛⣛⣓⣉⣉⣚⡛⢛⣛⡛⢣⣾⣟⢿⣿⡿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡼⣿⢹⣷⢿⢸⣿⣿⣿⢸⡇⢰⢸⣿⢃⢿⣿⣿⣿⣿⣿⢸⣿⣿⡟⢰⢧⣮⢱⣶⣯⠸⠿⠿⠇⣭⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⡁⢸⠟⣡⣿⢯⣾⢸⢟⣽⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡉⣿⣿⣸⢈⣿⠁⢻⡘⣷⠸⠂⢿⣯⡢⠙⠻⠿⠿⠟⢘⣻⣿⡇⣸⢸⣿⡠⠾⢭⣭⣙⣛⣛⣛⠿⠿⠟⠻⠿⠿⠿⠿⠿⠿⢛⣡⣾⣧⣠⣾⣿⢣⣿⣿⣯⣾⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠂⣾⠀⣉⣠⠀⠿⠷⠦⠭⠭⠍⠸⡇⣒⠃⣧⡶⠀⣽⢸⣿⣿⣿⡆⠀⢨⣭⣭⣭⠍⣡⣾⠀⠛⣛⠛⣁⣤⣾⡿⣻⡍⣿⣿⣟⣵⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣼⣿⠀⢡⠀⣉⡁⢸⠀⠀⠀⠀⠀⡛⠋⠀⠐⢚⠃⡾⣸⣿⣿⣿⣇⢸⢸⡿⢛⣥⣾⣿⡟⠀⠀⣡⣾⡿⣫⣵⣾⣿⣷⢿⢫⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣼⢣⡼⠐⡴⠐⠧⠃⠸⠀⠀⠀⠀⠀⡄⠂⠀⠀⠡⣠⠠⣭⡅⡘⠋⠁⠈⢈⣴⣿⢟⣻⣿⣇⢀⣾⡿⣫⣾⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣟⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⣿⢿⣇⣣⣿⡇⡆⢁⡇⢠⡄⢠⢰⣆⡄⠀⠀⡆⡀⠀⢠⡆⢒⠂⠀⠀⠐⡃⠀⣰⣿⡿⣵⣿⡏⣿⣿⡾⣫⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣹⣷⣿⣿⣿⣿⣿⣿⣾⣿⣾⡽⣷⣻⣎⣿⣿⣿⣿⡝⣿⣷⠀⣧⣤⣞⠛⠒⠒⢄⠀⠐⠀⠘⠀⠐⠒⠒⡀⠠⠀⣼⣿⣯⣾⣿⣿⣿⡸⢟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣹⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣷⣷⣿⣷⣿⣿⣿⠿⠿⡛⢃⠔⢞⢷⢿⡅⠇⠓⠝⠁⠀⠀⠈⠂⠀⠐⠀⢸⡿⠶⠿⣛⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣧⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢀⢀⠀⠀⢀⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠛⠷⣌⠻⣦⠀⠀⠀⠀⢈⣈⢉⣀⣀⡈⡀⣉⣀⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠻⣶⡙⣷⢹⣧⠀⠀⠀⠈⠈⠈⠉⠁⠁⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣴⠛⣷⢸⡇⢻⡇⣿⠀⠀⠀⠸⠳⠶⠰⠠⠂⠰⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⢀
⠀⠀⠀⠀⢸⡇⢠⡟⣸⣇⣿⢳⡟⠀⠀⠀⠘⠡⠘⠲⠂⠃⠠⠧⠀⠴⠴⠀⠀⠀⢠⣤⣤⣶⣾⣿⣷⣤⣤⣤⣤⣶⣿⣦⣤⣀⣀⣤⣶⣷⣤⣤⣤⣤⣶⣶⣦⣤⣀⠀⢀⣀⢀⣀⠀⠀⠀⣀⣀⣀⣠⣾⣿⣿⣿⣿⣿⣿
⣆⠀⠀⣤⣼⣿⣿⣿⢏⣾⢯⣿⠃⠀⢀⠀⢠⢤⣤⣄⢀⡀⡀⠀⣀⡀⣀⣀⣀⡀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⡌⢁⢀⠤⠀⢸⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿
⣿⣆⢠⣼⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⢀⣧⢭⡁⣍⣥⢅⠡⠭⡌⠀⠉⠉⠁⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠻⠀⠘⠀⠀⠈⠉⠀⠀⣿⣿⣿⣿⣿⡟⣀⢹⣿⣿⣿
⣿⣿⣤⣿⣿⣿⣿⣿⢀⣀⡄⣀⣀⢁⢀⣀⣀⢀⣀⣀⣀⣀⡀⠀⠀⡀⠀⠀⢀⡀⠀⣴⣶⠄⠸⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠠⣇⠀⠀⡀⠀⠀⠀⠀⢀⣿⣿⣿⠏⢹⡇⣿⡘⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠘⣾⣿⢻⣿⡌⢸⣿⣿⠸⣿⣿⣿⣿⡇⢀⠾⣇⠀⢀⡿⣷⢄⣉⣀⣀⡼⢃⣭⣛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⣿⠀⠀⠉⠀⠈⠁⠀⢸⣿⣿⢃⣾⠘⢠⠟⣧⠹⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣞⣿⣿⣿⢠⢿⡆⣿⣿⡏⢻⡇⣮⣾⡽⣦⣸⢻⣎⣶⡍⣭⣶⣾⣿⣿⢿⡤⠛⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⡏⡼⢿⠐⣠⣾⠰⣶⣶⣶⣿⣿⢃⠟⣿⡿⢫⣾⡹⣷⡙⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⢿⣿⣾⢸⣧⠸⣿⢠⠸⡇⣸⣿⣷⣽⢯⣿⡿⠋⠀⡟⡕⠉⢪⢃⣿⠀⠀⠸⠿⠿⠿⢿⣿⣿⡿⠁⢿⣿⣿⣿⣿⣿⡟⣼⣱⡼⣾⣱⡞⣷⡘⢿⣿⣿⡏⡜⣾⡘⣵⣿⣿⣷⠝⠃⠁
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠃⣿⡟⣿⡇⠇⣾⡆⡷⣿⣿⣿⣿⣿⡿⠁⠀⠀⣧⢧⣀⣜⣾⣪⣵⣶⣿⠀⠀⠀⢨⠿⡿⢱⠿⡌⢿⣿⣿⣿⣿⢰⢣⣿⣧⢣⣿⣿⡜⣿⡌⢿⡟⣰⣱⣿⣿⣿⣿⡟⣡⣾⢠⣾
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣧⢿⡇⢰⡿⣧⠁⣿⣿⣿⣿⡿⠃⠀⠀⢠⣿⣷⣶⣿⣿⣿⡍⣛⡿⠿⣟⣣⡞⣀⠁⣏⣶⣁⣈⣉⣩⠹⠃⢎⣿⣿⣿⣿⣿⣿⣷⡹⣿⣈⡴⣱⣿⣿⣿⣿⠟⣼⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⣿⣾⢳⢸⡆⣿⣿⣿⣿⢁⡗⠀⢰⡿⡏⣻⣿⣿⣿⣿⣷⢹⣿⣿⣿⡿⡡⢿⡷⡼⠿⢿⣿⣿⡏⠈⡷⣘⣻⣻⣿⣿⣛⣛⣛⣃⣙⣉⣚⡛⠋⣛⡛⢋⣼⠟⡙⣿⣿⢟
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡎⡟⣾⡇⣇⢻⣿⠻⣿⢨⡇⢸⢸⣿⢃⢻⣿⣿⣿⣿⣿⢸⣿⣿⡟⢰⢣⣷⢱⣶⣿⠸⠿⠿⠇⣭⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢡⠂⠟⣡⣾⢯⣾⡇⡿⣱⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣿⣿⣿⢸⡏⡀⢿⡌⢷⠸⠂⢿⣯⡣⠝⠻⠿⠿⠟⢘⢻⣿⠃⣿⢼⣿⡠⠾⢭⣭⣙⣛⣛⡛⠻⠿⠿⠟⠉⠿⠿⠿⠿⠿⠟⣉⣴⣿⣤⣾⣿⢧⣿⣿⣿⣼⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠘⢰⡧⠀⡉⡠⠀⠿⠷⠦⠭⠭⠭⠸⡇⣒⠀⣮⡶⠀⣿⢸⣿⣿⣿⡆⠀⢠⣭⣭⣭⡭⢁⣠⣾⠀⣛⡓⢃⣠⣶⣿⢟⣥⢹⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢠⡟⢟⠀⠀⢀⢉⡁⢸⠀⠀⠀⠀⠀⠛⠋⠀⠐⢚⠃⡿⣸⣿⣿⣿⣇⢸⢸⣿⠟⣫⣴⣿⣿⡇⠀⣫⣼⣿⣟⣭⣾⣿⣿⣸⢟⣵⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡟⣼⢸⢰⡔⠀⢆⠁⠐⠀⡀⠀⠀⠀⠆⠀⠀⠀⠀⣠⠀⢭⣍⣐⠫⡁⠈⠈⣱⣾⡿⣛⢻⣿⣇⣰⡿⣫⣾⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡏⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⣿⢿⣇⣼⣿⡼⡄⢠⡇⢰⠀⠠⢰⠤⡀⠀⠀⡀⡀⠀⢠⣞⠒⠒⠐⠂⠀⠀⠀⢠⣾⣿⣫⣾⣿⢸⣿⣿⢯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣻⣧⣿⣿⣿⣿⣿⣿⣿⣿⣼⣽⣷⢻⣎⣿⣿⣿⣷⡻⣿⣷⠐⣵⣤⣞⠁⠓⠒⠄⠡⠐⠀⠐⠁⠀⠂⠂⣰⣷⣤⣠⣿⡿⣵⣿⣿⣿⣯⡛⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣻⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣷⣧⣿⣷⣿⣿⣿⠿⠟⠛⠁⠐⠜⡻⠿⠁⠆⠪⠁⠀⠀⠀⠀⠀⠀⠐⠀⢰⣿⣛⣛⣛⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢏⣧⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢀⢀⠀⠀⢀⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠛⠷⣌⠻⣦⠀⠀⠀⠀⢈⣈⢉⣁⣀⡈⡀⣉⢀⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠻⣶⡙⣷⢹⣧⠀⠀⠀⠈⠈⠈⠈⠁⠁⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣴⠟⣷⢸⣧⣻⠇⣿⠀⠀⠀⠸⠣⠶⠲⠰⠂⠰⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡀⠀⠀⠀
⠀⠀⠀⠀⢸⡇⢠⡟⣸⣇⣿⢲⡟⠀⠀⠀⠸⠣⠸⠰⠂⠃⠠⠧⠀⠴⠴⠀⠀⠀⢸⣿⣶⣶⣾⣿⣿⣷⣦⣤⣤⣴⣶⣿⣷⣤⣤⣤⣶⣾⣶⣤⣤⣤⣤⣶⣶⣤⣀⠀⢀⣀⢀⣀⠀⠀⢀⣀⣀⣀⣤⣶⣿⣿⣿⣿⣿⣿
⠀⠀⠀⣴⣯⣿⣿⣾⢏⣾⢯⣿⠃⠂⢀⠀⢠⢤⣤⣄⢀⡀⡀⠀⣀⡀⣀⣀⣀⡀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⡁⢁⢁⢠⠀⢸⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿
⣷⠀⢰⣿⣿⣿⣿⣷⠟⠃⠀⠀⠀⠷⠁⠀⢠⣧⢭⡁⣍⣥⢅⠡⠭⡌⠀⠉⠉⠁⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⢿⠀⠈⢀⠀⠈⠀⠀⠈⣿⣿⣿⣿⣿⡿⢡⢸⣿⣿⣿
⣿⣧⣸⣿⣿⣿⣿⣇⣀⣠⡇⣀⡀⢁⣀⣀⢀⣀⣀⣀⣀⣀⡀⠀⠀⢀⠀⠀⢀⡀⠀⣴⣶⠄⠸⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡌⠀⠀⣈⠀⠀⠀⠀⢀⣿⣿⣿⡿⢻⡇⢸⡈⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣳⣿⣧⣿⣷⣾⣿⣿⠸⣿⣿⣿⠟⣿⡇⢀⣴⢿⠀⠀⣾⢷⢄⣉⣀⣀⡼⢃⣭⣛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣷⠀⠀⢁⠀⠀⠀⠀⢸⣿⣿⠏⣴⠘⠇⣼⣧⠹⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⡼⣿⣿⣡⢿⡇⢿⣿⡟⡀⣿⡇⣮⣿⡼⣧⣠⢯⡎⣦⡉⣭⣶⣾⣿⣿⢿⡤⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⠇⡼⣿⠘⣰⣿⡄⢶⣶⣶⣿⣿⢃⣾⣿⣦⢞⣵⣹⣇⢻⡿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣹⡇⣿⡸⣿⡘⣿⢡⡇⢻⡇⣼⣿⣿⣝⢯⣿⡿⠋⠀⡿⡕⠉⢺⢃⣿⠀⠀⠸⠿⠿⠿⢿⣿⣿⡿⢋⠸⣿⣿⣿⣿⣿⠏⡼⣵⢰⡼⣡⣎⣿⣦⠻⣿⣿⡏⡜⣴⠹⣣⣿⣿⣷⠻⠃⠁
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠃⣿⣧⢿⣧⠁⣾⣷⢸⡇⣿⣿⣿⣿⣿⡿⠁⠀⠀⣧⢧⣀⣜⣾⣪⣵⣶⣿⡀⠀⠀⢨⣿⡿⢱⠿⡆⢿⣿⣿⣿⡿⢸⣱⣿⡇⢱⣿⣿⣎⣿⣧⠹⡟⣰⢣⣿⣾⣿⣿⡿⢋⣴⣿⣴
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣎⢿⣄⡏⢹⡘⡇⣿⣿⣿⣿⡿⠇⠀⠀⢠⣿⣷⣶⣿⣿⣿⡍⣛⠿⠿⣟⣩⠎⡌⠃⡟⣾⣉⣈⣉⣫⠹⠡⢧⣿⣿⣿⣾⣿⣿⣿⡜⣿⣆⡴⣫⣿⡿⣿⣿⡿⢱⣿⠿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⢿⢷⡞⣧⠁⣿⣿⣿⣿⢁⡶⠠⢰⡿⡏⣻⣿⣿⣿⣿⣷⢻⣿⣿⣿⡟⣸⣷⡼⣼⠿⢿⣿⣿⡟⠈⡷⣘⣿⣿⣿⣿⣿⣟⣿⣛⣈⣉⣚⣛⠋⡀⢙⠛⣴⡿⣳⡇⣿⡿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⢸⣿⢻⠀⣿⠇⢹⣿⢨⡇⢸⢸⣿⢃⢻⣿⣿⣿⣿⣿⢸⣿⣿⡿⢰⣧⡎⢱⣶⣿⠸⠿⠿⠇⣭⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢏⣼⡇⢀⣾⡟⣼⣿⣧⡿⣵
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡞⠀⡟⣸⡆⣿⡌⢷⠸⠂⢿⣯⡣⠝⠻⠿⠿⠟⢘⢻⣿⡇⢸⢸⣧⠀⠮⣭⣭⣝⣛⣛⡛⠻⠿⠿⠿⠿⠋⠹⠿⠿⠿⠿⠟⣡⣾⡟⣿⣾⢟⣾⣿⣿⣿⣼⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣰⣿⡇⠀⢉⡠⠀⠿⠷⠦⠭⠭⠴⠸⡇⢐⠂⣯⡶⠀⢸⢸⣿⣿⣷⣶⠀⢩⣭⣭⣭⣭⡛⢋⣡⣶⡇⣘⡙⢃⣤⣶⡿⣟⣽⣾⢸⢏⣾⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⢏⡎⡇⠈⠁⢀⡉⠁⢨⠠⠀⠀⠀⠀⡙⠋⠀⢐⢚⠃⡼⣹⣿⣿⣿⣟⢸⢸⣿⡿⢟⣩⣶⣿⣿⣿⠰⢋⣴⣿⢟⣽⣾⣿⣿⣿⢨⣾⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣱⣿⣇⡇⢷⠂⠀⣘⠃⠐⠀⠐⠂⠀⠀⡀⠀⠀⠀⠇⢤⣴⢬⢭⠀⣛⠁⠸⠈⢋⣶⣿⣿⢟⣵⢸⣿⣶⢿⣫⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡟⣿⡼⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⢳⡀⢸⡄⣷⡆⠠⢰⣦⡄⠀⠀⡄⠆⠀⢸⣞⡒⠒⠒⠂⢋⣤⠀⠀⣰⣿⡿⣫⣾⣿⣿⡼⡿⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣽⣿⣼⣹⣧⢿⡞⣿⣿⣿⣧⡻⡿⣷⠀⣶⣤⣞⠋⠓⠒⢄⢡⠐⠀⠘⠀⠀⠒⠂⣴⣿⣿⣷⣤⣿⢟⣽⣿⣿⣿⣿⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣻⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣧⣧⣿⣯⣿⣿⣿⡿⠟⠛⠈⠔⢾⢾⠿⣗⠖⣻⠍⠐⢈⡂⠀⠁⠂⠐⠀⢸⡿⣬⣽⣛⣛⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⠀⠀⠀⠀⠀⢀⠀⠀⢀⢀⢀⠀⠀⢀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠛⠷⣌⠹⣦⠀⠀⠀⠀⢈⣈⢉⣁⣀⡈⡀⣉⣀⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠻⣶⡙⣷⢹⣧⠀⠀⠀⠈⠈⠈⠀⠁⠁⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣴⠛⣷⢸⡧⣻⡇⣿⠀⠀⠀⠸⠳⠶⠲⠠⠂⠰⠆⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⢀⣠⣄⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⠀⠀⠀
⠀⠀⠀⠀⣸⣇⣠⡟⣸⣇⣿⢰⡟⠀⠀⠀⠸⠳⠸⠴⠂⠃⠠⠧⠀⠰⠰⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣤⣶⣾⣿⣶⣶⣶⣶⣾⣷⣦⣤⣤⣤⣴⣾⣦⣤⠀⢀⣀⢀⣀⡀⠀⢠⣤⣤⣤⣤⣶⣿⣿⣿⣿⣿⣿
⠀⠀⠀⣴⣯⣿⣿⣾⢏⣾⢯⣿⠃⣓⢔⠀⢠⢤⣤⣄⢀⡀⡀⠀⣀⡀⣀⣀⣀⡀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢨⡾⠁⢃⡢⠀⢸⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿
⣷⠀⢰⣿⣿⣿⣿⣷⠟⠃⠀⠀⠀⡕⠁⠀⢠⣧⢭⡁⣍⣥⢅⠡⠭⡌⠀⠉⠉⠁⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⠀⠘⠁⠀⠈⠈⠀⢸⣿⣿⣿⣿⣿⣿⢡⢸⣿⣿⣿
⣿⣧⣸⣿⣿⣿⣿⣇⣀⣠⡇⣀⡀⢁⣀⣀⢀⣀⣀⣀⣀⣀⡀⠀⠀⢀⠀⠀⠀⠀⠀⣴⣶⠄⠸⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⡙⠀⠀⣉⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⢸⡄⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣳⣿⣧⣿⣷⣾⣿⣿⠸⣿⣿⣿⠟⣿⡇⢀⣴⣻⡀⠀⣸⣷⢀⣉⣀⣀⡼⢃⣭⣛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⣠⡆⠀⠀⠀⢸⣿⣿⡟⣡⠸⡇⣼⣧⢹⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⡾⣿⣿⣡⢿⡇⢿⣿⡟⡀⣿⡇⣎⣾⡿⣷⣀⣯⡞⣄⠍⣭⣶⣾⣿⣿⣿⡤⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣿⣿⣿⣿⣿⣿⢃⣾⡇⠘⣴⢿⣧⠰⣶⣶⣿⣿⠏⣼⣿⣄⡴⣫⢻⡆⢿⡟
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣹⡇⣿⡸⣿⡘⣿⢡⡇⢻⣧⣼⣿⣿⣞⠿⣼⡿⠋⠀⡿⡕⠉⢪⢃⣿⠀⠀⠸⠿⠿⠿⢿⣿⣿⣿⢏⡄⣿⣿⣿⣿⣿⠏⡼⣵⢣⡼⣣⣦⢿⣧⡙⣿⣿⠇⣾⡉⣿⢟⣴⣿⣏⡿⠂⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠃⣿⣧⢿⣧⠁⣾⣷⢸⣿⣼⣿⣿⣿⣷⡿⠁⠀⠀⣧⢧⣀⣜⣾⣪⣵⣶⣿⡀⠀⠀⢨⣿⡿⢣⡾⣧⠸⣿⣿⣿⡏⡼⣹⣿⡼⢳⣿⣿⣏⢿⣷⠘⡟⣸⢣⣿⣴⣿⣿⡿⢋⣴⣿⣴
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣎⣿⣄⡟⢹⡘⣿⣿⣿⣿⣿⡿⠃⠀⠀⢠⣿⣷⣶⣿⣿⣯⡍⣛⡿⠿⣟⣡⢊⢹⢁⡟⣾⣈⣀⣉⣫⠹⠡⢳⣿⣿⣧⣿⣿⣿⣿⡞⣿⣧⡴⣣⣿⡿⣿⣿⡿⣱⣿⠿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⢿⢷⡞⣧⠁⣿⣿⣿⣿⢁⡇⢠⢰⡿⡏⣻⣿⣿⣿⣿⣷⢻⣿⣿⣿⠏⣾⣆⡜⣼⠿⣿⣿⣿⡏⠈⡳⣘⣿⣻⣿⣿⣛⣿⣛⣛⣉⣉⣚⣛⠋⡀⢙⠛⣴⡿⣳⡇⣿⡿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⢸⣿⢻⠀⣿⠇⢹⣿⢸⡇⢸⢸⣿⢃⢻⣿⣿⣿⣿⣿⢸⣿⣿⣿⢰⣯⡙⢵⣶⣷⠸⠿⠿⠇⣭⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢏⣼⡇⢀⣾⡟⣼⣿⣧⡿⣵
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡾⠀⡟⣸⡆⣿⡌⢷⠸⠂⢿⣯⡣⠝⠻⠿⠿⠟⢘⢻⣿⣿⢸⣿⣧⠀⢮⣭⣭⣙⣛⣛⣛⠻⠿⠿⠿⠿⠋⠹⠿⠿⠿⠿⠟⣡⣾⡟⣿⣾⢏⣾⣿⣿⣿⣼⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣰⣿⡇⠀⠈⡐⠀⠿⠷⠦⠭⠭⠥⠸⡇⣐⠂⣯⡶⢸⢸⡿⣿⣿⣷⣶⠀⢩⣭⣭⣭⣭⡛⢋⣡⣶⡇⣘⡋⢃⣤⣶⡿⣟⣽⣾⢸⢏⣾⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⢏⡎⡇⠀⠀⣀⡉⡁⢸⠠⠀⠀⠀⠀⠙⠋⠀⠐⢚⠋⣼⣻⣿⣿⣿⣏⢸⠸⣿⡿⢟⣩⣶⣿⣿⣿⠰⢋⣴⣿⢟⣽⣾⣿⣿⣿⢨⣾⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣱⣿⣇⡇⢧⠆⠈⡊⠃⠰⠀⠒⠁⠀⠀⠄⠆⠀⠀⢃⣠⣴⡦⣭⣍⢘⠅⠸⠐⢋⣶⣿⣿⢛⣵⢸⣿⣶⢟⣫⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡿⣿⡼⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⢳⡀⢸⡆⣇⠃⢠⢰⣤⡄⠀⠀⡆⡄⠀⢠⡞⢒⠐⠐⠂⢋⣤⠀⠀⣰⣿⡿⣫⣾⣿⣿⡼⡿⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣽⣿⣼⣹⣧⢿⡞⣿⣿⣿⣧⡻⡿⣷⠀⣷⣤⣞⠃⠒⠒⢄⠁⠐⠀⠐⠁⠐⢒⠂⣴⣿⣿⣷⣤⣿⢟⣽⣿⣿⣿⣿⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣻⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣧⣧⣿⣯⣿⣿⣿⡿⠟⠛⠨⠐⡶⢿⠿⠇⠎⠓⠡⠀⠁⠝⠀⠈⠀⠐⠀⢸⡿⣬⣽⣛⣛⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⢀⠀⠀⢀⢀⢀⠀⡀⢀⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠛⠷⣌⠻⣦⠀⠀⠀⠀⢈⣈⢉⣁⣀⡈⡀⣉⢀⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠻⣶⡙⣷⢹⣧⠀⠀⠀⠈⠈⠈⠉⠁⠁⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣴⠟⣷⢸⡧⢻⡇⣿⠀⠀⠀⠸⠳⠶⠲⠰⠂⠰⠆⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⣀⣀⣤⡀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⡀⠀⠀
⠀⠀⠀⢠⣿⣧⣠⡟⣸⣇⣿⢱⡟⣀⠀⠀⠘⠳⠸⠰⠦⠃⠨⠷⠀⠰⠰⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣤⣤⣶⣷⣶⠀⢀⡀⢀⣀⠀⠀⢰⣶⣶⣶⣴⣶⣿⣿⣿⣿⣿⣿
⠀⠀⢀⣿⣿⣿⣯⣾⢏⣾⢯⣿⠃⣷⠝⠀⢠⢤⣤⣄⢀⡀⡀⠀⣀⡀⣀⣀⣀⡀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢨⠰⠁⢂⣶⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣆⠀⣾⣿⣿⣿⣿⣶⠟⠃⡀⠀⠀⠃⠀⠀⢠⣧⢭⡁⣍⣥⢅⠡⠭⡌⠀⠉⠉⠁⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢐⢀⠄⠈⠁⠀⢸⣿⣿⣿⣿⣿⣿⢏⢸⣿⣿⣿
⣿⣆⣿⣿⣿⣿⣿⡇⡀⣴⣇⣀⡀⣀⣀⡀⢀⣀⣀⣀⣀⣀⡀⠀⠀⢀⡀⠀⠀⠀⠀⣴⣶⠄⠸⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢈⢻⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⢸⡆⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡇⣼⣿⣧⣿⣿⣿⣿⡇⢸⣿⣿⠟⢹⣿⡇⠀⡴⣻⣇⠀⢰⣧⢀⣉⣀⣀⡼⢃⣭⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢸⡆⠀⠀⣠⣶⠀⠉⠀⢸⣿⣿⡿⢋⢹⡿⢸⣇⢹⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡼⣿⡟⡼⣿⠸⣿⡟⢰⡌⣿⡇⣎⣾⣟⣿⣄⣌⡜⡔⠍⣭⣴⣾⣿⣿⢟⡮⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣿⣿⣿⣿⡿⢡⣿⡇⠃⣼⡿⣿⡄⢶⣶⣿⣿⠏⣴⣿⠘⣡⢟⢻⡄⢿⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢹⣸⣧⢿⣧⢻⠇⣿⡇⢻⣧⣼⣿⣿⣞⠿⣼⡷⠋⠀⡿⡕⠉⢺⢫⣿⠀⠀⠹⠿⠿⠿⢿⣿⣿⣿⡟⡀⢸⣿⣿⣿⣿⢃⡟⡄⣧⣾⣫⣶⡹⣿⣆⢻⣿⢋⣾⠻⣿⢟⣧⣾⣏⣿⠌⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⡞⣿⡆⠀⣿⣇⢸⣿⣼⣿⣿⣿⣿⡿⠁⠀⠀⣧⢧⣀⣜⣾⣮⣵⣶⣿⡀⠀⠀⢨⣿⣿⢋⡜⢻⡘⣿⣿⣿⡇⡾⣹⣷⢻⣱⣿⣿⣧⢻⣿⡆⠏⣼⢣⣧⣵⣿⣿⣿⢟⣤⣾⣷
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡹⣿⣸⣇⢩⢸⣿⣿⣿⣿⣿⡿⠁⠀⠀⢠⣿⣷⣶⣿⣿⣿⡍⣛⠿⠿⣟⣫⠎⣿⢃⡟⣼⣀⣀⣈⣩⠹⠡⢱⣿⣿⣦⣿⣿⣿⣿⣇⣿⣷⡾⣫⣿⡿⢿⣿⣿⢃⣿⡿⢻⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⢿⣸⣸⡄⡏⣿⡿⣿⣿⢁⡆⠠⢰⣿⡏⣻⣿⣿⣿⣿⣧⢻⣿⣿⣿⡏⣴⠈⡘⡾⠿⣿⣿⣿⡏⠈⡷⣙⣿⣻⣟⣿⣿⣛⣻⣋⣉⣑⣛⣛⡛⣰⢘⠛⣡⣿⢯⣾⢸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⣿⣇⣷⠀⡿⢠⢹⣿⢸⡇⢸⢸⣿⢇⢿⣿⣿⣿⣿⣿⢸⣿⣿⣿⢰⣏⡓⢱⣶⣿⠸⠿⠿⠇⣭⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣴⣟⢈⣴⡿⣳⣿⣿⠸⣳
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡸⠀⢣⣿⡈⣿⡈⣷⠸⠊⠿⣯⡣⠙⠻⠿⠿⠟⢘⢻⣿⣿⡄⡿⣿⡠⠼⢭⣭⣛⣛⣛⣛⠿⠿⠿⠿⠿⠟⡉⠿⠿⠿⠿⠟⣡⣾⣟⣹⣿⡟⣽⣿⣿⣿⣷⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣠⡾⡻⡇⢀⣁⡀⡀⠿⠷⠦⠭⠭⠅⠸⡇⣒⠃⣥⡶⢸⢃⡇⣿⣿⣿⡆⠀⢨⣭⣭⣭⣭⣛⠛⠃⣡⣾⢀⣋⠛⣨⣴⣿⢟⣵⣾⣿⡿⣼⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣟⣵⣇⠃⠀⠀⢀⢉⡁⢸⠀⠀⠀⠀⠀⡛⡉⠀⢐⣚⠋⣼⢳⡿⣿⣿⣇⢸⢸⣿⣿⡿⠟⣫⣴⡿⣿⣿⠘⣡⣾⡿⣫⣶⣿⣿⣿⡇⣵⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣾⣿⡇⡀⣦⢀⠈⣸⡅⠘⠠⡀⠀⠀⠀⡆⠆⠀⠈⠀⣄⣤⣕⡜⡍⠉⠋⢸⠀⠚⣩⣶⣿⢟⣱⡆⣿⣿⡿⣫⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣾⣿⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢧⠀⣼⡀⡈⠇⠠⢰⣆⡆⠀⠀⡄⠀⠀⢰⡞⢐⠀⠀⠂⣠⣴⣆⠨⢀⣾⣿⢟⣵⣿⣿⣿⢹⢏⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣿⣷⣿⣿⣿⣿⣿⣿⣽⣿⣾⣻⣯⢿⡞⣿⣿⣿⣯⢳⠿⢧⠉⣥⣤⣌⠚⠃⠒⠄⠀⠐⠀⠈⠁⠐⠒⢀⣾⢿⣿⣿⣆⣾⢟⣵⣿⣿⣿⣿⣿⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣹⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣯⣯⣿⣯⣿⣿⣿⠿⠟⠓⠩⡔⠿⢿⢿⣏⠞⢦⠈⠁⢸⢆⢀⠀⠀⠀⠀⢸⡿⣶⣭⣿⣟⣫⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⢀⠀⠀⢀⢀⢀⠀⠀⢀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠛⠷⣄⠻⣦⠀⠀⠀⠀⢈⣈⢉⣁⣀⡈⡀⣉⣀⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠻⣶⡙⣷⢹⣧⠀⠀⠀⠈⠈⠈⠉⠁⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣴⠛⣷⢸⣇⢻⡇⣿⠀⠀⠀⠸⠣⠶⠲⠰⠂⠰⠂⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⣠⣀⣀
⠀⠀⠀⣀⣼⡇⣠⡟⣸⠇⣿⢳⡟⣠⢄⠀⠸⠳⠸⠲⠢⠃⠨⠣⠠⠴⠰⠀⠀⠀⢠⣶⣿⣿⣷⣶⣶⣿⣿⣿⣶⣤⣤⣤⣶⣾⣿⣿⣶⣾⣿⣿⣶⣤⣤⣤⣤⣴⣾⠀⢀⣀⠀⠀⢀⠀⢰⣾⣿⣶⣶⣦⣶⣾⣿⣿⣿⣿
⠀⠀⣼⣿⣿⣿⣫⣾⢯⣾⢯⣿⠃⡇⠉⠀⢠⢤⣤⣄⢀⡀⡀⠀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢨⡘⢁⢀⣲⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡄⢰⣿⣿⣿⣿⣯⣶⠟⣹⠀⠀⠀⠀⠀⠀⢠⣧⢭⡁⣍⣥⢅⠡⠭⡌⠀⠉⠉⠁⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢘⠀⠄⠈⠈⠀⠀⣿⣿⣿⣿⣿⣿⡟⠹⣿⣿⣿
⣷⣼⣿⣿⣿⣿⣏⣀⣴⣿⢀⣀⣀⣀⣀⢀⣀⣀⣀⡀⣀⣀⡀⠀⠀⢀⠀⠀⠀⠀⠀⣴⣶⠄⠸⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠙⢿⠀⠀⠉⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⢰⡆⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣸⣿⣿⢻⣿⡈⣿⣿⣿⠃⠸⣿⡇⢀⡴⢻⡄⠀⣼⣷⢀⣉⣀⣀⡼⢃⣭⣛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣽⡌⠀⠀⣠⣾⡀⠈⠀⢸⣿⣿⣿⠟⣿⣿⢸⣇⢻⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣇⡞⣿⣧⢹⣿⡏⣼⡇⣿⡇⣞⣾⡟⣷⣀⢧⡞⣄⠍⣭⣶⣾⣿⣿⣿⡤⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⣿⡿⢁⣿⡇⢃⣾⡿⣿⣇⢲⣶⣿⣿⠟⣡⡆⠻⣣⡿⢿⡌⢿⢀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡸⢸⣷⣹⣿⡆⠿⢸⣿⡇⣿⡇⣼⣿⣿⣞⠟⣾⡿⠋⠀⡿⡕⠉⢪⢃⣿⠀⠀⠸⠿⠿⠿⢿⣿⣿⣿⡟⢡⢸⣿⣿⣿⡿⢣⡞⡌⣧⡾⣫⣶⡹⣿⣆⠹⣿⢃⣾⢿⣿⡾⣫⣾⡼⣿⠈⢈
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣸⣿⣷⣻⣿⡀⢹⢻⡇⣿⡗⣿⣿⣿⣿⣿⡿⠁⠀⠀⣧⢧⣀⣜⣾⣮⣵⣶⣿⡀⠀⠀⢨⣿⣿⠟⡰⢻⡘⣿⣿⣿⠇⡿⣽⣧⡿⣱⣿⣿⣷⣻⣿⡆⢃⣾⢣⡞⣫⣾⣿⣿⡟⣡⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡹⣷⡏⡎⡇⣿⡇⣿⣿⣿⣿⡿⠃⠀⠀⢠⣿⣷⣶⣿⣿⣿⡍⣛⡿⠿⣟⣣⢿⣿⢋⢞⣾⣀⣀⣈⣩⠹⠰⣹⣿⣿⣴⣿⣿⣿⣿⣇⣿⣷⡿⣫⣿⣿⡟⢻⣿⢋⣼⡿⣫⢹
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡹⢹⣧⢧⢹⡇⡏⢻⣿⣿⢁⡗⢠⢰⡿⡏⣻⣿⣿⣿⣿⣧⢻⣿⣿⣿⡏⡀⠃⡎⡾⠿⢿⣿⣿⡏⠈⡷⣙⣿⣿⣿⣿⣿⣟⣻⣏⣉⣑⣛⣛⡛⢋⡄⢘⢃⣾⢯⣾⣿⢺
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⡼⡆⡇⣸⡌⣿⣿⢸⡇⢸⢸⣿⢃⢻⣿⣿⣿⣿⣿⢸⣿⣿⣿⡇⡟⠆⢱⣶⣿⠸⠿⠿⠇⣭⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣱⣿⢧⣀⣾⣣⣿⣿⣿⢌
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡇⢡⣿⣇⢹⣿⡌⢿⡸⠂⢿⣯⡣⠝⠻⠿⠿⠟⢘⢻⣿⣿⡇⡇⣷⡠⠾⢭⣭⣛⣛⣛⣛⠿⠿⠿⠿⠿⠿⠿⠋⠹⠿⠿⠿⢋⣾⣿⢫⡾⣿⣳⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡿⣱⢸⠀⢀⢉⡀⠀⠿⠷⠦⠭⠭⠍⠸⡇⣓⠃⣭⡶⢸⡇⡄⣿⣿⣿⡆⠀⢨⣭⣭⣭⣭⣙⡛⠛⣁⣤⣾⡇⣘⠛⣡⣴⣿⢟⣵⣿⡇⢣⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⣵⣿⢸⠀⢀⠡⣀⢉⡁⠨⠠⠀⠀⠀⠀⠛⠉⠀⢐⣚⠋⣸⣳⡿⣿⣿⣇⠸⢸⣿⣿⣿⡿⢛⣥⣾⢟⣅⣿⣇⣡⣾⢟⣯⣶⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⢸⠸⠎⡄⠰⡷⠁⠐⠠⠐⠀⠀⠀⡄⠀⠀⠀⢧⣬⣤⣵⡄⠫⡉⢋⣰⠀⣄⠛⣥⣾⣿⢟⣵⣿⣿⣿⡿⣫⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣞⢆⢰⣿⠀⠏⠃⠀⢰⣆⡆⠀⠀⡇⠀⠀⢠⣖⢒⡒⢒⠂⣈⣴⣿⣿⠀⢁⣾⡿⣫⣷⣿⣿⣿⡏⢟⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣼⣽⣷⢻⣞⣿⣿⣿⣎⢟⣝⣷⠀⣵⣤⣞⠛⠓⠒⢆⣁⡀⠀⠘⠋⠐⠒⢂⣾⢯⣜⢿⣿⣄⣾⣫⣾⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣯⣧⣿⣯⣿⣿⣿⠿⠟⠛⠫⢴⢾⡿⣿⣻⡶⣲⡇⡪⡿⣛⣷⡠⡅⠐⠀⢸⣿⢸⣿⣷⣮⣭⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⣠⣀⣀
⠀⠀⢀⣀⣤⢺⣄⠀⠀⠀⠀⠀⢀⣠⣤⡀⠀⠀⠀⢀⣠⣄⣀⣤⣦⣄⣀⣀⣀⣀⣤⣶⣿⣿⣷⣶⣶⣿⣿⣿⣶⣤⣤⣤⣶⣾⣿⣿⣶⣾⣿⣿⣶⣤⣤⣤⣤⣴⣾⠀⢀⡀⠀⠀⢀⠀⢰⣾⣿⣶⣶⣤⣶⣾⣿⣿⣿⣿
⣿⡟⣼⣿⣿⣷⢻⣿⣿⡟⢹⣿⢨⡿⠋⣿⣿⣿⣿⣿⣿⣿⡟⠛⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢨⡑⢁⢀⢤⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡝⢹⣿⣿⣿⣿⡏⣿⡟⣼⢸⣿⠈⣴⣷⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢐⢀⠄⠈⠀⠀⠀⣿⣿⣿⣿⣿⣿⡟⠹⣿⣿⣿
⣿⣾⣿⣿⣿⣿⣇⣟⣽⣿⢸⣿⣼⣿⣿⢸⣿⣿⣿⡿⣿⣿⡇⠀⠀⢀⠀⠀⠀⠀⠀⣴⣶⠄⠸⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠙⢿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⢰⡄⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣼⣿⣿⢻⣿⡈⣿⣿⣿⠃⠸⣿⡇⢀⡴⢻⡄⠀⣼⣷⢀⣉⣀⣀⡼⢃⣭⣛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣸⡌⠀⠀⣠⣾⡀⠈⠀⢸⣿⣿⣿⠟⣻⣿⢸⣇⢻⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢿⣇⡞⣿⣧⢹⣿⡏⣼⡇⣿⡇⢞⣾⡟⣷⣀⢧⡞⣄⠍⣭⣴⣾⣿⣿⣿⡤⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⣿⡿⢁⣿⡇⢃⣾⡿⣿⣇⢲⣶⣿⣿⠟⣡⡆⠹⣣⡿⢿⡌⢿⢀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡸⢸⣷⣹⣿⡆⠿⢰⣿⡇⣿⡇⣼⣿⣿⣜⠟⣾⡿⠋⠀⡟⡕⠉⢪⢃⣿⠀⠀⠸⠿⠿⠿⢿⣿⣿⣿⡟⣡⢸⣿⣿⣿⡿⢣⡞⡌⣧⡾⣫⣶⡹⣿⣆⠹⣿⢃⡾⢿⣿⡾⣫⣾⡼⣿⠈⢈
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣸⣿⣷⣻⣿⡀⢸⢻⡇⣿⡗⣿⣿⣿⣿⣿⡿⠁⠀⠀⣧⢧⣀⣜⣾⣪⣵⣶⣿⡀⠀⠀⢨⣿⣿⠟⡰⢻⡘⣿⣿⣿⡇⡿⣽⣧⡿⣱⣿⣿⣷⣻⣿⡆⢃⣾⢣⡞⣫⣾⣿⣿⡟⣡⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡻⣷⡏⡆⡇⣿⡇⣿⣿⣿⣿⡿⠃⠀⠀⢠⣿⣷⣶⣿⣿⣿⡍⣛⡿⠿⣟⣡⢾⣿⢋⢎⣾⣀⣀⣈⣩⠹⠰⣸⣿⣿⣴⣿⣿⣿⣿⣇⣿⣷⡿⣫⣿⣿⡟⢻⣿⢋⣼⡿⣫⢹
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡹⢹⣧⢧⢹⡇⡏⢻⣿⣿⠁⡗⢠⢰⡿⡏⣻⣿⣿⣿⣿⣧⢻⣿⣿⣿⡏⡀⠃⡎⡾⠿⢿⣿⣿⡏⠈⡷⣙⣛⣻⣿⣿⣿⣟⣻⣋⣉⣑⣛⣛⡛⢋⡄⢘⢃⣾⢏⣾⣿⢸
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⡼⡆⡇⢸⡌⣿⣿⢸⡇⢸⢸⣷⢃⢻⣿⣿⣿⣿⣿⢸⣿⣿⣿⡇⡟⠆⢱⣶⣷⠸⠿⠿⠇⣭⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣱⣿⢇⣀⣾⣣⣿⣿⣿⢌
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡇⢡⣿⣇⢹⣿⡌⢷⡸⠂⢿⣯⡣⠝⠻⠿⠿⠟⢘⢻⣿⣿⡇⠇⣷⡠⠬⢭⡍⣙⣛⣛⡛⠿⠿⠿⠿⠿⠿⠿⠋⠹⠿⠿⠿⢋⣼⣿⢫⡾⣿⣳⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⡿⣱⢸⠀⢀⠉⡀⠀⠿⠷⠦⠭⠩⠁⠸⡇⣒⠀⣭⡶⢸⡇⡄⣿⣿⣿⡆⠀⢠⣭⣥⣭⣭⣙⡛⠛⣂⣤⣾⡇⣈⠛⣡⣴⣿⢟⣵⣿⡇⢣⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⣵⣿⢸⠀⠀⠀⢀⠈⠁⠸⠠⠀⠀⠀⠀⠙⠉⠀⠐⢚⠋⣸⣳⡿⣿⣿⣇⠸⢸⣿⣿⣿⡿⢛⣡⣾⢟⣅⣿⣇⣡⣾⢟⣯⣶⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⢸⠸⠊⡄⠐⠄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⢤⡵⡀⠫⠉⢋⣰⠀⣄⠛⣥⣾⣿⢟⣵⣿⣿⣿⡿⣫⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⢆⢰⣿⠀⠀⠀⠀⢰⣆⡆⠀⠀⡃⠀⠀⢠⣞⠒⡒⠒⠂⣀⣴⣿⣿⠀⢀⣾⡿⣫⣵⣿⣿⣿⡏⢟⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣽⣿⣼⣹⣷⢻⣞⣿⣿⣿⣎⢟⣝⢷⠀⣴⣄⡜⠛⠒⠒⠂⠁⠀⠀⠐⠁⠐⠒⢂⣾⢯⣜⢿⣿⣄⣾⣫⣾⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣯⣧⣿⣯⣿⣿⣿⠿⠟⠛⠫⠐⢾⡿⢿⠅⡰⠠⠐⢂⢕⠀⠀⠀⠀⠀⠀⢸⣿⢸⣿⣷⣮⣭⣥⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⢀⣤⣄
⡀⠀⠀⠀⣀⢠⣶⣀⠀⠀⠀⠀⠀⠀⣀⣄⠀⠀⠀⠀⢀⣤⣀⣀⣠⣤⣄⣀⣀⣀⣀⣤⣾⣿⣷⣶⣶⣶⣶⣿⣷⣦⣤⣤⣤⣴⣾⣿⣶⣶⣶⣾⣿⣦⣄⣀⣀⣀⣤⠀⢀⣀⡀⠀⠀⠀⢠⣴⣾⣿⣿⣶⣶⣶⣾⣿⣿⣿
⣿⣏⣾⣿⣿⣎⣿⣿⣿⢲⢰⣶⢰⠟⠙⣿⣿⣷⣶⣾⣿⣿⡟⠛⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢨⡑⢀⢀⢠⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡹⣼⣿⣿⣿⣿⢸⣿⢯⣾⢸⣟⠈⣼⡇⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⠀⢘⣀⠄⠈⠀⠀⠀⣿⣿⣿⣿⣿⣿⠏⠸⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣼⢫⣿⣿⣻⣿⣼⣿⡇⣿⣿⣿⣿⡟⢿⣿⡇⠀⠀⡀⠀⠀⢀⡀⠀⣴⣶⠄⠸⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⢻⠀⠀⠉⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⢸⡄⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⢸⣿⡟⣿⣷⠸⣿⣿⣿⢡⢸⣿⡇⢀⡼⣷⠀⢀⣾⣷⢄⣉⣀⣀⡼⢃⣭⣛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢸⡎⠀⠀⣡⣶⠀⠀⠀⢸⣿⣿⡿⡁⢸⡿⢸⣇⢻⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣸⣸⣿⣇⢻⣿⠇⣾⡄⣿⡇⢎⣿⡼⣧⣸⢳⣞⣦⡉⣭⣶⣾⣿⣿⢿⡤⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣿⣿⣿⣿⣿⢃⣿⡇⠋⣴⣿⣿⡄⢶⣶⣿⣿⠏⣴⣿⣈⣱⢫⢻⡎⢿⢉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡹⣿⣧⣻⣿⡄⠟⣸⣿⠁⣿⡇⣸⣿⣿⣝⢿⣿⡿⠋⠀⡿⡕⠉⢺⢇⣿⠀⠀⠸⠿⠿⠿⢿⣿⣿⣿⠟⡀⢸⣿⣿⣿⣿⢃⡞⣁⣧⣾⣫⣶⢻⣿⣌⢿⣿⢋⡾⡉⣿⠟⣱⣿⣏⣿⠌⢈
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣷⡻⣿⡀⡿⢻⢀⣿⡧⣿⣿⣿⣿⣿⡿⠁⠀⠀⣧⢧⣀⣜⣾⣪⣵⣶⣿⡀⠀⠀⢨⣿⣿⢏⡔⢷⠸⣿⣿⣿⡏⡼⣱⣿⢸⢳⣿⣿⣧⢿⣿⡈⢃⣾⢣⣷⣱⣿⣿⣿⡿⣠⣴⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡹⣿⢣⢸⡈⣿⡇⢿⣿⣿⣿⡿⠇⠀⠀⢠⣿⣷⣶⣿⣿⣿⡍⣛⠿⠿⣟⣫⠎⢿⠏⢞⣾⣀⣀⣉⣩⠹⠡⢱⣿⣿⣧⣿⣿⣿⣿⡎⣿⣧⡾⣣⣿⣿⠟⡉⣿⢏⣼⣿⢟⡍
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡝⣾⡟⡇⢿⡇⢀⢻⣿⣿⢁⡗⢀⢰⡿⡏⣻⣿⣿⣿⣿⣧⢻⣿⣿⣿⡟⣸⡈⡈⣾⠿⢽⣿⣿⡏⠈⡷⣘⣿⣿⣿⣿⣿⣿⣿⣋⣉⣉⣚⣛⡛⢃⣾⡇⠃⣾⢟⣵⣿⢻
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⠸⢃⣿⡄⣿⣿⢸⡇⢸⢸⣷⢃⢻⣿⣿⣿⣿⣿⢸⣿⣿⣿⢠⣏⡓⢱⣶⣷⠸⠿⠿⠇⣭⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢡⣾⠿⣷⣾⢫⣾⣿⣿⣞
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡇⣼⠟⡇⢻⣿⡌⢷⠸⠂⢿⣯⡢⠝⠻⠿⠿⠟⢘⢻⣿⣿⡈⣿⣧⠠⢮⣭⣭⣙⣛⣛⡛⠻⠿⠿⠿⠿⠿⠿⢋⡁⠸⠿⠿⢋⣴⣿⢏⣧⢻⢣⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⢯⣶⣷⠀⢀⢉⡀⠀⠶⠷⠦⠭⠭⠤⠘⡇⢒⠂⣮⡶⢸⢃⡏⣿⣿⣷⣶⠀⢩⣭⣭⣭⣭⣛⡛⠛⢃⣠⣶⣿⡇⡘⢉⣴⣿⢟⣳⣿⣿⣈⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢨⣾⣿⣿⢠⢀⠀⠀⡉⠁⠸⠠⠀⠀⠀⠀⡙⠉⠀⠐⣚⠋⣼⣹⡿⢿⣿⣷⢸⠘⢹⣿⣿⡿⢛⣡⣾⠿⣫⡇⣿⣧⣾⡿⣫⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢨⢁⡆⠪⠊⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⢀⢴⣠⠠⣵⣄⠛⠍⠛⣠⡎⢀⠿⢫⣴⣿⢟⣵⣿⣿⡇⣿⣟⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⣿⣿⡸⣀⣾⣷⠰⠨⠀⠠⢰⣀⡄⠀⠀⡄⠄⠀⢸⣚⠒⡒⠒⡠⢁⣤⣾⣿⡇⠀⣰⡿⢟⣵⣿⣿⣿⣿⣿⣫⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣿⣧⣿⣿⣿⣿⣿⣿⣽⣿⣾⣹⣷⢻⣞⣿⣿⣷⡝⣫⣞⣶⠀⣵⣤⣞⠒⠃⠒⢄⡁⠀⠀⠘⠁⠐⠂⠀⣴⡟⣵⣎⠿⣿⣴⢯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣻⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣧⣯⣿⣷⣿⣿⣿⡿⠟⠛⡋⠰⣿⡿⡿⢋⣪⢢⠦⢚⣭⣇⢀⠀⠀⠐⡂⢸⣿⢹⣿⣿⣿⣶⣭⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣧⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⣀⣀⣀⣀⣀⡀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡿⠟⠛⠃⠀⣀⣀⠐⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀
⣤⣴⣾⣿⣿⣿⣿⣿⣿⡇⢸⣿⡇⣸⣿⣶⣶⣶⣶⣾⣿⠈⠟⠁⠀⠀⠀⣠⣾⣿⡟⢠⣿⣷⣶⣤⠀⠀⠀⣀⣀⣠⣤⣶⣤⣀⣀⣠⡤⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣤⣀⣀⠀⠀⠀⠀⣀⣠⣤⣾⣿⣿⣶⣤⣤⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣸⣿⡇⢸⣿⣿⣿⣿⣿⣇⠲⢶⣀⣀⣠⣴⡿⠿⠛⣉⣐⣛⡛⠻⠿⠟⠀⣿⣄⠙⣿⣿⣿⣿⣿⣿⣿⡿⢁⣼⣿⠀⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⣿⣿⣇⢸⣿⣿⣿⣿⣿⣿⠗⣠⣤⣤⣤⠤⠶⠶⠿⣿⣿⣿⠟⣡⣶⠶⠶⠤⡙⢦⡈⠻⣿⣿⣿⣿⣿⠃⣼⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⠿⣿⣿⣿⣿⠇⢸⣿⣿⣿⡄⢿⣿⣿⡿⠀⠀⠀⢸⣿⠏⣴⠞⠋⠉⠑⢦⠙⡏⢸⣿⠃⠀⠀⠀⠀⠈⣿⣦⡈⠻⣿⣿⡏⢠⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡿⠋⡀⢹⣿⣿⡟⢀⣿⣿⣿⣿⣷⡘⡿⠋⠀⠀⠀⠀⢸⡇⣼⡏⠀⠀⠀⠀⠀⣧⢀⢸⣿⠀⠀⠀⠀⠀⠀⡿⠟⠉⠁⠈⠛⠇⢸⣿⣿⣿⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠁⣴⡇⢸⣿⡿⠁⣾⣿⣿⡟⢿⣿⠇⠀⠀⠀⠀⠀⠀⢸⡇⢿⡇⠀⠀⠀⠀⠀⡿⢸⡌⠻⣦⣀⣀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣧⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢀⣾⣿⡇⢸⡿⢁⣼⣿⣿⣿⢰⣎⠋⠀⠀⠀⠀⠀⠀⠀⢸⣿⣌⠻⠦⣄⣀⠠⠜⣡⣿⣿⣷⣤⣭⣥⣶⡟⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⢿⣿⣧⡀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡇⠘⠁⣼⣿⣿⣿⡇⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣷⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢀⣤⣸⣿⡇⡆⢻⣿⣷⡀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⢸⡄⠘⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⠃⠀⣾⣿⣿⣿⡟⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣤⣴⠆⣸⣿⣿⣿⢧⣿⣄⢿⣿⣷⡀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣸⣿⣆⠘⢿⣿⣿⣿⣿⣿⣿
⣿⣿⣏⢀⣾⣿⣿⣿⡟⣼⣿⣿⣿⡀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢃⣴⡘⣿⣿⣿⢸⣿⣿⣎⢿⣿⣷⠀⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⣿⣿⢿⣦⠈⢿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢏⣾⣿⠟⢋⡉⠉⣀⠀⣀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣶⣶⣯⣍⣛⡛⠛⠛⠛⠛⠛⣛⣋⣩⣴⣾⣿⣿⣷⡹⣿⡇⣿⣿⣿⢁⡤⠒⠒⠒⠒⠲⠦⠬⡍⠿⠿⡿⠁⣸⣿⡟⣤⣻⣷⡀⠹⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢟⣵⣿⡿⢡⣾⣿⢠⡷⠋⣰⣿⠋⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠻⣸⣿⣿⡟⢸⣿⣷⣶⣶⣶⣶⣿⣿⡇⠙⢦⠀⣰⣿⣿⢇⣿⣷⡝⣿⣦⠈⢿⣿⣿
⡿⠿⢟⣫⣵⣿⣿⣿⠇⣿⣿⡏⢸⠇⣸⣿⡇⣸⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣿⣿⣿⣇⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⢸⠇⣿⣿⡟⣼⣿⣿⣿⣌⢿⡷⡄⢻⣿
⣾⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⢸⠀⣿⣿⠁⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠤⠞⣠⣤⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⢸⠀⣿⣿⠀⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⠛⢋⣉⣭⣭⣤⣴⣶⣶⣦⠸⢿⣿⣿⣿⣿⣟⡛⢁⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡄⣿⣿⡇⢸⠀⣿⣿⡄⢿⣿⣷⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⠀⣶⣶⣶⣦⣤⣭⣭⣭⣉⣓⣒⣒⣀⣀⡀⠒⠒⠛⠛⠛⠟⠿⠻⠛⠿⠟⠻⠛⠛⠛⠛⣛⣛⣛
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣧⢸⣇⠸⣿⣷⠘⣿⣿⣧⡘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣷⣤⣍⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣀⣀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢰⣿⣿⡿⠟⠛⠃⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀
⣴⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣾⣶⠀⣤⣤⣤⣤⣶⣿⣿⠈⠟⠁⠀⠀⠀⣠⣾⣿⡟⢠⣦⣤⣀⣀⡀⠀⢀⣀⣀⣠⣶⣤⣀⣀⣀⣄⠀⠀⠀⠀⠀⠀⠀⠀⣰⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣦⣀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⠀⣿⣿⣿⣿⡿⣇⠲⢶⣀⣀⣠⣴⡿⠿⠛⣉⣐⣛⡛⠻⢿⣿⠇⢠⡀⠻⣿⣿⣿⣿⣿⣿⣿⡇⢰⣶⡆⢰⣶⣶⣶⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣾⣿⣿⠀⣿⣿⣿⣿⠀⡈⠓⣠⣤⣤⣤⠤⠶⠾⠿⣿⣿⣿⠟⣡⣶⠶⠒⠤⡙⢦⠘⢿⣿⣿⣿⣿⣿⠀⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠇⣰⣿⣿⣿⡄⢻⣿⣿⡏⠀⠀⠀⢸⣿⠏⣡⡾⠋⠉⠓⢦⡙⡟⢸⣿⠁⠀⠀⠀⠘⡄⣿⣄⠙⢿⣿⣿⡇⢸⣿⣿⡇⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡟⠉⢿⣿⣿⡏⢠⣿⣿⡿⢿⣿⣆⠙⠋⠀⠀⠀⠀⢸⡏⢸⡏⠀⠀⠀⠀⠀⢱⠀⢸⣿⠀⠀⠀⠀⠀⠇⡿⠟⠁⠈⠉⠛⠀⣼⣿⣿⣷⡀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠏⢠⡆⢸⣿⠟⢠⣿⣿⡟⣰⣆⠻⠏⠀⠀⠀⠀⠀⠀⢸⡇⢿⡇⠀⠀⠀⠀⠀⡾⢸⡌⠿⣦⣀⣀⣀⠄⡀⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣧⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠃⣰⣿⠇⢸⠏⢠⣿⣿⣿⢣⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣌⡛⠦⣤⣀⡠⠔⣡⣾⣿⣶⣤⣬⣭⣴⡟⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⠉⢿⣿⣧⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⡀⢻⣿⣿⣿⣿⣿⣿⣿⣿
⣼⣿⣿⠀⠏⢠⣿⣿⣿⡟⣸⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣷⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢀⣤⣾⡿⢸⡄⢿⣿⣧⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢘⣷⡀⢻⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡏⠀⣰⣿⣿⣿⡿⢡⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣤⣴⠆⣸⣿⣿⡇⣿⣿⡌⣿⣿⣧⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣷⡀⠻⣿⣿⣿⣿⣿⣿
⣿⣿⣇⣰⣿⣿⣿⡿⢡⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢃⣴⢹⣿⣿⢱⣿⣿⣿⡜⣿⣿⠄⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢸⣿⣿⣷⡄⠹⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡟⣱⣿⣿⠟⢋⡉⠉⣀⠀⣀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣯⣍⣛⡛⠛⠛⠛⠛⠛⣛⣋⣩⣴⣾⣿⣿⣆⢿⡿⣸⣿⣿⣿⢁⡤⠒⠒⠒⠒⠲⠦⠬⡍⠿⠿⣿⠏⢀⣿⣿⢡⡙⣿⣦⠘⣿⣿⣿⣿
⣿⣿⣿⣿⢟⣩⣾⣿⡿⢡⣾⣿⢠⣿⠋⣰⣿⠋⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡜⢣⣿⣿⣿⡏⢸⣿⣷⣶⣶⣶⣶⣿⣿⡇⠙⢦⠈⣠⣿⣿⢃⣿⣷⡜⣿⣧⠈⢿⣿⣿
⡿⠟⣩⣴⣿⣿⣿⣿⠇⣿⣿⡟⢸⠇⣸⣿⡇⣸⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠸⢸⠇⣿⣿⡟⣼⣿⣿⣿⣜⢿⡇⠘⣿⣿
⣶⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⢸⠀⣿⣿⠁⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠤⠞⣠⣤⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⢸⠀⣿⣿⠀⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⠛⢋⣉⣭⣭⣤⣴⣶⣶⣦⠸⢿⣿⣿⣿⣿⣟⡛⢁⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡄⣿⣿⡇⢸⠀⣿⣿⡆⢿⣿⣷⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⠀⢶⣶⣶⣦⣤⣭⣭⣭⣍⣓⣒⣒⣀⣀⡀⠒⠒⠛⠛⠛⠿⠻⠻⠛⠿⠟⠻⠛⠛⠛⠛⣛⣛⣛
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣇⢸⣇⠸⣿⣷⠘⣿⣿⣧⡘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣷⣤⣍⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣀⣀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢠⣿⣿⡿⠟⠛⠃⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀
⣴⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣶⠀⣤⣤⣤⣤⣶⣿⣿⠈⠟⠁⠀⠀⠀⣠⣾⣿⡟⢠⣦⣤⣀⣀⡀⠀⢀⣀⣀⣠⣶⣤⣀⣀⣀⣄⠀⠀⠀⠀⠀⠀⠀⠀⣰⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣦⣀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⠀⣿⣿⣿⣿⡿⣇⠲⢶⣀⣀⣠⣴⡿⠿⠛⣉⣐⣛⡛⠻⢿⣿⠇⢠⡀⠻⣿⣿⣿⣿⣿⣿⣿⡇⢠⣶⡄⢰⣶⣶⣶⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣾⣿⣿⠀⣿⣿⣿⣿⠀⡈⠓⣠⣤⣤⣤⠤⠶⠾⠿⣿⣿⣿⠟⣡⣶⠶⠒⠤⡙⢦⠘⢿⣿⣿⣿⣿⣿⠀⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠇⣰⣿⣿⣿⡄⢻⣿⣿⡏⠀⠀⠀⢸⣿⠏⣡⡾⠛⠉⠓⢦⡙⡏⢸⣿⠁⠀⠀⠀⠘⡄⣷⣄⠙⢿⣿⣿⡇⢸⣿⣿⡇⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡟⠉⢿⣿⣿⡏⢠⣿⣿⡿⢿⣿⣆⠙⠋⠀⠀⠀⠀⢸⡟⢸⡏⠀⠀⠀⠀⠀⢱⠀⢸⣿⠀⠀⠀⠀⠀⠇⡿⠟⠁⠈⠉⠛⠀⣼⣿⣿⣷⡀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠏⢠⡆⢸⣿⠟⢠⣿⣿⡟⣰⣆⢻⠏⠀⠀⠀⠀⠀⠀⢸⡇⢿⡇⠀⠀⠀⠀⠀⡾⢸⡌⠿⣦⣀⣀⣀⠄⡀⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣧⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠃⣰⣿⠇⢸⠏⢠⣿⣿⣿⢣⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣌⡛⠦⣤⣀⡠⠔⣡⣾⣿⣶⣤⣭⣭⣴⡟⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⠉⢿⣿⣧⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⡀⢻⣿⣿⣿⣿⣿⣿⣿⣿
⣼⣿⣿⠀⠏⢠⣿⣿⣿⡟⣸⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣷⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢀⣤⣾⡿⢸⡌⢿⣿⣧⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣷⡀⢻⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡟⠀⢰⣿⣿⣿⣿⢡⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣤⣴⠆⣸⣿⣿⡇⣿⣿⡌⣿⣿⣧⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣷⡀⠻⣿⣿⣿⣿⣿⣿
⣿⣿⣇⣰⣿⣿⣿⡿⢡⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢃⣴⢻⣿⣿⢳⣿⣿⣿⡜⣿⣿⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢸⣿⣿⣿⡄⠹⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡟⣱⣿⣿⠟⢛⡉⠉⣀⠀⣀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣷⣷⣯⣍⣛⡛⠛⠛⠛⠛⠛⣛⣋⣩⣴⣾⣿⣿⣆⢿⡿⣸⣿⣿⣿⢁⡤⠒⠒⠒⠒⠲⠦⠬⡍⠿⠿⣿⠏⢀⣾⣿⢡⡙⣿⣆⠘⣿⣿⣿⣿
⣿⣿⣿⣿⢟⣩⣾⣿⡿⢡⣾⣿⢠⣿⠋⣰⣿⢋⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡜⢣⣿⣿⣿⡇⢸⣿⣷⣶⣶⣶⣶⣿⣿⡇⠙⢦⠈⣠⣿⣿⢃⣿⣷⡝⣿⣧⠈⢿⣿⣿
⡿⠟⣩⣵⣿⣿⣿⣿⠇⣿⣿⡏⢸⠇⣸⣿⡇⣸⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠸⢸⠇⣿⣿⡟⣼⣿⣿⣿⣜⢿⠇⠘⣿⣿
⣶⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⢸⠀⣿⣿⠁⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠤⠞⣠⣤⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⢸⠀⣿⣿⠀⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⠛⢋⣉⣭⣭⣤⣴⣶⣶⣦⠸⢿⣿⣿⣿⣿⣟⡛⢁⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡄⣿⣿⡇⢸⠀⣿⣿⡆⢿⣿⣷⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⠀⣶⣶⣶⣦⣤⣭⣭⣭⣉⣓⣒⣒⣀⣀⣀⠒⠒⠛⠛⠛⠿⠻⠻⠛⠿⠟⠻⠛⠛⠛⠛⣛⣛⣛
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣇⢸⣇⠸⣿⣷⠘⣿⣿⣧⡘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣿⣿⣿⣿⣿⣿⣷⣤⣍⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠀⢰⣿⣿⡿⠟⠛⠃⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣶⣶⣶⣶⣾⣿⣿⡗⢀⣀⣀⡀⠀⣀⣤⣾⠛⢿⣶⠈⠟⠁⠀⠀⢀⣠⣾⣿⡟⢠⣀⣀⣀⢀⣀⣀⣤⣶⣤⣀⣀⣀⣠⣄⠀⠀⠀⠀⠀⠀⠀⢀⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⢀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣼⣿⣿⣯⠸⣿⣿⠇⣰⡄⠲⢶⣀⣀⣠⣴⡿⠿⠛⣉⣐⣛⡛⠻⢿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢠⣦⣤⣄⠀⣤⣶⣿⣿⣿⣷⣦⣤⣀⣀⣀⣀⣤⣴⣿⣿⣿⣿⣿⣷⣶⣤⣤⣤⣴⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠇⣸⣿⣿⣿⣿⡀⢿⣿⡀⣿⡿⠂⣠⣤⣤⣤⠤⠶⠾⠿⣿⣿⣿⠟⣡⣶⠖⠒⠨⡉⠛⢿⣿⣿⣿⣿⠁⣼⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡟⢠⣿⣿⡿⢿⣿⣧⠈⢿⠁⠈⠀⠀⢸⣿⠟⣡⠾⠛⠛⠒⠦⡙⡏⢸⣿⠁⠀⠀⠀⠐⡀⣄⠙⣿⣿⣿⠀⣿⣿⣿⣿⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡟⢠⣿⣿⣿⢧⣎⢻⣿⡗⠀⠀⠀⠀⠀⢸⡟⢸⡏⠀⠀⠀⠀⠀⢰⠀⢸⣯⠀⠀⠀⠀⠀⠁⡿⠗⠈⠉⠉⠀⢿⣿⣿⣿⣇⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡿⢻⣿⠟⢠⣿⣿⣿⡟⣼⣿⣧⠉⠀⠀⠀⠀⠀⠀⢸⡇⢿⡇⠀⠀⠀⠀⠀⡸⢸⡌⠿⣦⣄⣀⣀⠌⡀⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣄⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠋⠀⢸⠏⢠⣿⣿⣿⡟⣰⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⢸⣿⣌⠛⠶⢤⣤⡤⠔⣡⣾⣿⣷⣤⣭⣭⣴⡞⠀⠀⠀⠀⠀⠀⠀⠀⣿⢇⡙⣿⣿⡄⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢻⣿⣿⣿⣿⣿⣿⣿
⠁⣴⠀⠎⢠⣿⣿⣿⡟⣴⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣷⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢀⣼⡿⢸⣷⡘⣿⣿⡄⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⡄⠹⣿⣿⣿⣿⣿⣿
⣼⣿⠀⢀⣿⣿⣿⠟⣼⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣤⣴⠆⣸⣿⢣⣿⣿⣧⠹⣿⣷⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣾⣿⡄⠹⣿⣿⣿⣿⣿
⣿⣿⣠⣿⣿⣿⢏⣼⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣟⡛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢃⡄⣿⣿⣸⣿⣿⣿⣷⠹⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣸⣿⣿⣿⣄⠹⣿⣿⣿⣿
⣿⣿⣿⣿⡿⣡⣾⣿⣿⣿⠟⢛⡉⢉⣀⠀⣀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣶⣄⡈⠉⠛⠛⠛⡛⠛⠛⠛⣛⣋⣩⣴⣾⣿⣿⡼⠃⣿⣿⣿⣿⣿⢡⡤⠒⠒⠒⠒⠲⠦⠤⡍⠿⠿⣿⣿⠏⢠⣿⣿⡙⢿⣿⡆⠹⣿⣿⡿
⣿⣿⣿⢟⣴⣿⣿⣿⡿⢡⣾⣿⢠⣿⠋⣰⣿⠋⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⡄⢫⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⡟⢸⣿⣷⣶⣶⣶⣶⣿⣿⡇⠙⢦⠘⠏⣠⣿⣿⢣⣿⡌⢿⣿⡆⢹⡟⢀
⡿⢟⣵⣿⣿⣿⣿⣿⠇⣿⣿⡟⢸⠇⣸⣿⡇⣸⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠸⢸⠇⣰⣿⣿⡟⣼⣿⣿⡜⢿⣿⠀⠃⣸
⣶⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⢸⠀⣿⣿⠁⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠤⠞⣠⣤⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⢸⠀⣿⣿⠀⣿⣿⡇⣿⣿⣿⣿⡩⢭⡭⠍⡍⠿⠏⠍⠿⠿⢿⣿⠥⠹⠿⢿⣿⠟⡭⠩⠉⠉⠭⡭⠤⠴⣶⣶⣦⠸⢿⣿⣿⣿⣿⣟⡛⢁⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡄⣿⣿⡇⢸⠀⣿⣿⡄⢿⣿⣷⠘⣿⣿⣿⣿⢸⡇⡇⡏⢹⠀⡇⡻⢬⣸⣿⣿⢘⠧⡅⣿⡎⡏⢸⢸⡏⢹⢸⡭⡷⢉⢭⣍⣓⣒⣒⣀⣀⡀⠒⠒⠛⠛⠛⠿⠿⠻⠻⠟⠟⠻⠛⠛⠛⠛⣛⣛⣛
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣇⢸⣇⠸⣿⣷⠘⣿⣿⣧⡘⢿⣿⣿⣮⣽⣧⣵⣬⣤⣵⣮⣭⣾⣿⠌⣶⣭⣵⣿⣧⣵⣬⣬⣅⡈⠰⠭⢵⣬⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢰⣿⣿⡿⠿⠛⠃⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣶⣤⣤⣤⣤⣤⣶⣿⣷⣦⠀⣀⣀⣀⡀⣠⣴⡟⠈⠲⢤⠈⠟⠁⠀⠀⢀⣠⣾⣿⡟⢠⣀⣀⣀⣀⣤⣴⣾⣶⣤⣀⣀⣤⣤⡀⠀⠀⠀⠀⠀⠀⢀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣸⣿⣿⣿⡇⢹⣿⠇⣸⡆⠲⢶⣀⣀⣠⣴⡿⠿⠛⣉⣐⣛⡛⠻⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣴⣤⣤⡄⢰⣾⣿⣿⣿⣿⣦⣄⣀⣀⣀⣀⣤⣶⣿⣿⣿⣿⣿⣶⣦⣤⣤⣤⣤⣴⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡏⢰⣿⣿⣿⣿⣇⠘⣿⠀⣾⡿⠂⣠⣤⣤⣤⠤⠶⠾⠿⣿⣿⣿⢋⣴⡶⠖⠒⠨⡙⢿⣿⣿⣿⣿⣿⠀⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠏⢠⣿⣿⡿⣉⢿⣿⣦⡀⠀⠋⠀⠀⢸⣿⠟⣡⠾⠛⠛⠓⠦⡙⡏⢸⡿⠀⠀⠀⠀⠰⠀⡙⢿⣿⣿⡏⢰⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠋⣰⣿⣿⣿⢣⣿⣎⢻⡟⠁⠀⠀⠀⠀⢸⡟⢸⠏⠀⠀⠀⠀⠀⢰⠀⢸⣧⠀⠀⠀⠀⠀⠀⡿⠄⠉⠉⠁⠀⢿⣿⣿⣿⡀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⠃⣰⣿⣿⣿⢇⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⢸⡇⢿⡄⠀⠀⠀⠀⠀⠸⢰⣌⠻⣦⣀⣀⣀⠌⡀⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⣧⡈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠟⠉⣿⠇⣰⣿⣿⣿⢇⣾⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⢸⣿⣌⠻⠶⣤⣤⡤⠔⣡⣿⣿⣷⣦⣬⣭⣴⡞⠀⠀⠀⠀⠀⠀⠀⠀⣾⢠⡘⣿⣷⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠘⣿⣿⣿⣿⣿⣿⣿
⠏⢠⠀⡏⢠⣿⣿⣿⢣⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢀⣼⠇⣾⣷⠘⣿⣷⡈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢀⠘⣿⣿⣿⣿⣿⣿
⢠⣿⠀⢀⣾⣿⡿⣣⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣤⣴⠆⣸⣿⢰⣿⣿⣧⢹⣿⣷⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⣿⣧⠘⢿⣿⣿⣿⣿
⣾⣏⣀⣾⣿⡿⣱⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣷⡼⢷⡝⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢃⣄⢿⠇⣾⣿⣿⣿⣇⢻⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣾⣿⣿⣧⠈⢿⣿⣿⣿
⣿⣿⣿⣿⡿⣱⣿⣿⣿⣿⠟⢛⡉⢉⣀⠀⣀⣠⣴⣾⣿⣿⣿⣿⣿⣦⡀⠙⠶⠎⢭⡛⠛⢛⣛⠛⠛⠛⢛⣋⣩⣴⣾⣿⣿⡌⣼⣿⣿⣿⣿⣿⢀⡤⠒⠒⠒⠒⠲⠦⠬⡍⠿⠿⣿⣿⡿⠁⣼⣿⠟⢻⣿⣷⠈⢿⣿⠋
⣿⣿⣿⠟⣱⣿⣿⣿⡿⢡⣾⣿⢠⣿⠋⣰⣿⢋⣿⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣤⣤⣶⣿⣿⡄⠛⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢸⣿⣷⣶⣶⣶⣶⣿⣿⡇⠙⢦⠘⡟⢁⣾⣿⡟⣼⣆⢿⣿⣧⢸⠇⢠
⣿⠟⣩⣾⣿⣿⣿⣿⠇⣿⣿⡟⢸⠇⣸⣿⡇⣸⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠸⢸⠇⢠⣾⣿⡿⣼⣿⣿⡜⣿⠧⠀⢠⣿
⣶⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⢸⠀⣿⣿⠁⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠤⠞⣠⣤⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⢸⠀⣿⣿⠀⣿⣿⡇⣿⣿⣿⣿⡩⢭⡭⠍⡍⠿⠏⠍⠿⠿⢿⣿⠥⠹⠿⢿⣿⠟⡭⠩⠙⠉⠭⡭⠤⠴⣶⣶⣦⠸⢿⣿⣿⣿⣿⣟⡛⢁⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡄⣿⣿⡇⢸⠀⣿⣿⡄⢿⣿⣷⠘⣿⣿⣿⣿⢸⡯⡇⡏⢹⠀⡇⡻⢬⣸⣿⣿⢘⠧⣅⣿⡎⡏⢸⢸⡏⢹⢸⡭⡷⢉⢭⣍⣓⣒⣒⣀⣀⡀⠒⠒⠛⠛⠛⠿⠿⠻⠻⠿⠟⠛⠛⠛⠛⠛⣛⣛⣛
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣧⢸⣇⠸⣿⣷⠘⣿⣿⣧⡘⢿⣿⣿⣮⣽⣧⣵⣮⣤⣵⣮⣭⣾⣿⠌⣶⣭⣵⣿⣧⣵⣮⣬⣅⡈⠰⠭⢵⣬⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⢠⣿⣿⡿⠟⠛⠃⠀⣀⣀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀
⣤⣀⣀⣠⣤⣾⣿⣦⣄⡀⢀⣀⣀⡀⢸⣿⣿⡶⠤⣄⣀⡈⠟⠁⠀⠀⢀⣠⣾⣿⡟⢠⣤⣤⣴⣾⣿⣷⣶⣤⣤⣀⣀⣤⣤⡀⠀⠀⠀⠀⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣼⣿⣿⡇⢸⣿⣿⡇⢀⠀⠲⢶⣀⣀⣠⣴⡿⠿⠛⣉⣐⣛⣛⠻⢿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⣤⣤⣴⠀⣿⣿⣷⣦⣀⣀⣀⣀⣀⣤⣶⣿⣿⣿⣿⣿⣶⣦⣤⣤⣤⣴⣾⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡏⢰⣿⣿⣿⣧⠘⣿⣿⠀⢸⡷⠀⣠⣤⣤⣤⠤⠶⠾⠿⣿⣿⣿⠟⣡⡶⠖⠒⠠⡀⠉⠻⣿⣿⣿⣿⡇⢸⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡟⢠⣿⣿⣿⣿⣿⣆⠹⡿⠀⠈⠀⠀⢸⣿⠟⣡⠞⠛⠛⠒⠦⡙⡟⢸⣿⠁⠀⠀⠀⠐⡀⣦⡈⠻⣿⣿⡇⢸⣿⣿⣿⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡿⢀⣾⣿⣿⢏⣌⢻⣿⡆⠀⠀⠀⠀⠀⢸⡟⢸⡏⠀⠀⠀⠀⠀⢰⠀⢺⣧⠀⠀⠀⠀⠀⠁⣿⠟⠀⠉⠉⠃⢸⣿⣿⣿⡇⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⠟⢿⣿⡟⢀⣾⣿⣿⡏⣼⣿⣷⠉⠀⠀⠀⠀⠀⠀⢸⡇⢿⡇⠀⠀⠀⠀⠀⡸⢸⡌⠻⣦⣄⣀⣀⠌⡈⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠃⠀⢸⡟⢀⣾⣿⣿⡟⣼⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⢸⣿⣌⠛⠶⢤⣤⣤⠔⣡⣾⣿⣷⣦⣭⣭⣴⡞⠀⠀⠀⠀⠀⠀⠀⠀⣿⠏⡙⢿⣷⡀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿
⠋⢰⡇⠘⢀⣾⣿⣿⡿⣰⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣷⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢀⣼⡿⢸⣿⣎⢿⣷⡀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣷⡈⠻⣿⣿⣿⣿⣿⣿
⣠⣿⠃⢀⣾⣿⣿⣿⢡⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣤⣴⠆⣸⣿⡇⣾⣿⣿⡎⣿⣷⡀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣆⠙⢿⣿⣿⣿⣿
⣿⣿⣤⣾⣿⣿⡿⢡⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⢀⣴⣿⣯⡀⣿⣮⣛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢃⣴⠸⣿⢰⣿⣿⣿⣿⡸⣿⡇⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣧⡈⢿⣿⣿⣿
⣿⣿⣿⣿⣿⢟⣴⣿⣿⣿⠟⢛⡉⢉⣀⠀⣀⣠⣴⣾⣿⣿⣿⣧⠈⠛⠁⣿⣶⠮⣭⣟⡛⢛⣛⠛⠛⠛⣛⣋⣩⣴⣾⣿⣿⡇⡏⣾⣿⣿⣿⣿⢁⡤⠒⠒⠒⠒⠲⠦⠬⡍⠿⠿⣿⣿⡟⢠⣿⡿⠙⢿⣿⣷⠈⣿⣿⣿
⣿⣿⣿⢋⣵⣿⣿⣿⡿⢡⣾⣿⢠⣿⠋⣰⣿⠋⣿⢿⣿⣿⣿⣿⣷⣄⣀⣈⠁⠀⣙⣫⣴⣿⣿⡄⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣿⣿⣿⣿⡟⢸⣿⣷⣶⣶⣶⣶⣿⣿⡇⠙⢦⠘⠟⢠⣿⣿⢣⣿⡌⣿⣿⡇⢸⣿⠁
⠿⣋⣵⣿⣿⣿⣿⣿⠇⣿⣿⡏⢸⠇⣸⣿⡇⣸⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⢸⠇⣴⣿⣿⢇⣿⣿⣿⡼⣿⡯⠀⠏⢠
⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⢸⠀⣿⣿⠁⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠤⠞⣠⣤⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⢸⠀⣿⣿⠀⣿⣿⡇⣿⣿⣿⣿⡩⢭⡭⠍⡍⠿⠏⠍⠿⠿⢿⣿⠥⠹⠿⢿⣿⠟⡭⠩⠙⠉⠭⡭⠤⠴⣶⣶⣦⠸⢿⣿⣿⣿⣿⣟⡛⢁⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡄⣿⣿⡇⢸⠀⣿⣿⡄⢿⣿⣷⠘⣿⣿⣿⣿⢸⡗⡇⡏⢹⠀⡇⡻⢬⣸⣿⣿⢘⠧⡅⣿⡎⡏⢸⢸⡏⢹⢸⡭⡷⢉⢭⣉⣓⣒⣒⣀⣀⣀⠒⠒⠛⠛⠛⠟⠿⠛⠿⠿⠟⠻⠛⠛⠛⠛⣛⣛⣛
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣇⢸⣇⠸⣿⣷⠘⣿⣿⣧⡘⢿⣿⣿⣮⣽⣧⣵⣬⣤⣵⣮⣭⣾⣿⡌⣶⣭⣵⣿⣧⣵⣬⣬⣅⡈⠰⠭⢵⣬⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡿⠟⠛⠃⠀⣀⣀⠀⣀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀
⣀⣀⣤⣴⣾⣿⣷⣦⣤⡄⢀⣤⣶⠆⣿⣿⣶⣤⣤⣤⣤⡈⠟⠁⠀⠀⠀⣠⣾⣿⡿⢠⣿⣿⣿⣿⣶⣦⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⣿⣿⣷⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣾⣿⣿⡀⢻⣿⣿⡟⠻⢇⠲⢶⣀⣀⣠⣴⡿⠿⠛⣉⣐⣛⡛⠻⢿⠿⣿⠋⠙⢿⣿⣿⣿⣿⣿⣿⠃⣰⣾⣿⠀⣿⣷⣦⣤⣀⣀⣀⣤⣴⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡟⢠⣿⣿⣿⡇⢸⣿⣿⠁⣴⡌⠓⣠⣤⣤⣤⠤⠶⠾⠿⣿⣿⣿⠏⣡⣶⠖⠒⠠⡑⢄⠉⢿⣿⣿⣿⣿⠀⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠁⣾⣿⣿⣿⣿⡀⢿⣿⠀⠉⠀⠀⢸⣿⠟⣡⠶⠛⠛⠓⠦⠙⡏⢸⣿⠁⠀⠀⠀⠈⡀⣷⣄⠙⢿⣿⡟⢠⣿⣿⣿⡄⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⢿⣿⣿⣿⠇⣸⣿⣿⡟⢿⣿⣷⡀⠉⠀⠀⠀⠀⢸⡟⢰⡏⠀⠀⠀⠀⠀⢱⠀⢸⣧⠀⠀⠀⠀⠀⠃⡿⠟⠁⠈⠉⠃⠸⣿⣿⣿⣷⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡿⠃⠸⣿⣿⠏⢰⣿⣿⡿⣸⣦⡹⠏⠀⠀⠀⠀⠀⠀⢸⡇⢺⡅⠀⠀⠀⠀⠀⡸⢸⡌⠿⣦⣀⣀⣀⠔⡀⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣧⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠁⣴⠀⣿⠏⣠⣿⣿⣿⢣⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⢸⣿⣌⠻⠦⣤⣤⡤⠔⣡⣿⣿⣷⣦⣭⣭⣴⡞⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⡙⢿⣿⣆⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣄⠙⣿⣿⣿⣿⣿⣿⣿⣿
⠁⣼⡇⠀⠃⣰⣿⣿⣿⡏⣼⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢀⣤⣿⠇⣿⡌⢿⣿⡆⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣆⠘⣿⣿⣿⣿⣿⣿⣿
⣾⣿⡇⠀⣰⣿⣿⣿⡿⣰⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣤⣴⠆⣸⣿⣿⢸⣿⣿⣎⢿⣿⡄⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣧⡈⢿⣿⣿⣿⣿⣿
⣿⣿⣅⣴⣿⣿⣿⡟⣱⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⢀⣴⣿⡿⣫⣔⠦⣜⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢃⣤⠹⣿⡏⣿⣿⣿⣿⡌⣿⣿⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣷⣄⠻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡿⢋⣼⣿⣿⠟⢛⡉⢉⣀⠀⣀⣠⣴⣾⣿⣿⣷⣿⣿⣷⣮⣛⢷⣾⡭⣝⣛⠛⠛⠛⠻⠛⣛⣋⣩⣴⣾⣿⣿⣇⢿⢇⣿⣿⣿⣿⢁⡤⠒⠒⠒⠒⠲⠦⠬⡍⠿⠿⣿⡟⢠⣿⣿⢏⡹⣿⣿⣦⠘⣿⣿⣿
⣿⣿⣿⡿⢟⣴⣿⣿⡿⢡⣾⣿⢠⣿⠋⣰⣿⠋⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣭⣟⣋⣤⣾⡄⢳⣿⣿⣿⣿⣿⣿⣿⣿⣿⡈⣼⣿⣿⣿⡟⢸⣿⣷⣶⣶⣶⣶⣿⣿⡇⠙⢦⠈⢀⣾⣿⣿⣼⣿⡜⣿⣿⡇⠘⣿⣿
⠟⣋⣥⣾⣿⣿⣿⣿⠇⣿⣿⡏⢸⠇⣸⣿⡇⣸⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⢸⠇⣿⣿⣿⢳⣿⣿⣿⡼⢿⣿⠀⢿⡟
⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⢸⠀⣿⣿⠁⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠤⠎⣠⣤⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⢸⠀⣿⣿⠀⣿⣿⡇⣿⣿⣿⣿⡩⢭⡭⠍⡍⠿⠏⠍⠿⠿⢿⣿⠥⠹⠿⠛⠛⠟⡭⠩⠙⠉⠭⡭⠤⠴⣶⣶⣦⠸⢿⣿⣿⣿⣿⣟⡛⢁⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡄⣿⣿⡇⢸⠀⣿⣿⡆⢿⣿⣷⠘⣿⣿⣿⣿⢸⡇⡇⡏⢹⠀⡇⡻⢬⣸⣿⣿⢘⠧⡅⢀⡈⡏⢸⢸⡏⢹⢸⡭⡗⢉⢩⣉⣓⣒⣒⣀⣀⡀⠒⠒⠛⠛⠛⠿⠿⠻⠿⠿⠟⠿⠛⠛⠛⠛⣛⣛⣛
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣇⢸⣇⠸⣿⣷⠘⣿⣿⣧⡘⢿⣿⣿⣮⣽⣧⣵⣬⣤⣵⣮⣭⣾⣿⡌⣴⣭⣥⣾⠃⣡⡬⢨⣅⡈⠰⠭⢵⣬⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡿⠟⠛⠃⠀⣀⣀⠠⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀
⣀⣠⣴⣾⣿⣿⣷⣶⣶⡆⢰⣾⣿⠀⣿⣶⣦⣤⣤⣤⣶⡈⠟⠁⠀⠀⠀⣠⣾⣿⡟⢠⣿⣿⣷⣦⡤⠀⣄⣀⣀⣀⣤⣴⣄⡀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣤⣀⡀⠀⠀⠀⠀⢀⣀⣤⣶⣿⣿⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣸⣿⣷⢸⣿⣿⣿⣿⣿⣇⠲⢶⣀⣀⣠⣴⡿⠿⠛⣉⣐⣛⡛⠻⢿⣿⠇⢀⠈⠻⣿⣿⣿⣿⣿⣿⣿⠏⣰⣿⡇⣴⣦⣤⣤⣤⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡟⢠⣿⣿⣿⠀⣿⣿⣿⡇⠈⠻⠗⣠⣤⣤⣤⠤⠶⠾⠿⣿⣿⣿⠟⣡⣶⠶⠒⠤⡙⢂⡈⠻⣿⣿⣿⣿⡟⢰⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠁⣼⣿⣿⣿⡆⢹⣿⣿⡇⠈⠀⠀⢸⣿⠟⣠⡾⠛⠉⠓⢦⠙⡏⢸⣿⠁⠀⠀⠀⠘⡄⣿⣤⡈⢻⣿⣿⠇⢸⣿⣿⣇⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡟⠉⣿⣿⣿⠇⢠⣿⣿⣿⣿⣿⣄⠙⠋⠀⠀⠀⠀⢸⡏⢸⡏⠀⠀⠀⠀⠀⢱⠀⢸⣿⠀⠀⠀⠀⠀⠇⡿⠟⠁⠀⠉⠛⠀⣿⣿⣿⣿⡆⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠏⢀⠀⣿⣿⠏⢠⣿⣿⡟⢉⠻⣿⠏⠀⠀⠀⠀⠀⠀⢸⡇⢿⡇⠀⠀⠀⠀⠀⡼⢸⡌⠿⣦⣀⣀⣀⠄⡀⠁⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⡄⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠋⣠⣿⠀⣿⠏⢠⣿⣿⣿⣇⣿⣷⡌⠀⠀⠀⠀⠀⠀⠀⢸⣷⣌⠛⠦⢤⣀⡠⠔⣡⣾⣿⣷⣦⣭⣭⣴⡟⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠛⢿⣿⣿⡀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⡀⢻⣿⣿⣿⣿⣿⣿⣿⣿
⣴⣿⣿⠀⠏⢠⣿⣿⣿⣿⣸⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣷⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⢠⣆⢻⣿⣷⡀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣷⡀⢻⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡏⠀⢠⣿⣿⣿⣿⢣⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣤⣴⠆⣸⣿⣿⣿⣸⣿⡆⢻⣿⣧⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣷⡀⠻⣿⣿⣿⣿⣿⣿
⣿⣿⡇⣰⣿⣿⣿⡿⢣⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⠟⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢃⣴⠸⣿⣿⡇⣿⣿⣿⡈⣿⣿⡆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣼⣿⣿⣿⣦⠙⢿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⢟⣵⣿⣿⠟⢛⡉⢉⣀⠀⣀⣠⣴⣾⣿⣿⣿⣷⣿⣿⣮⣕⠶⣶⣾⣭⣭⣛⢛⠛⠛⠛⣛⣋⣩⣴⣾⣿⣿⣧⢻⣿⢹⣿⣿⣿⢁⡤⠒⠒⠒⠒⠲⠦⠬⡍⠿⠿⡿⠃⣸⣿⣿⢱⡙⣿⣷⣄⠹⣿⣿⣿
⣿⣿⣿⣿⠟⣡⣾⣿⡿⢡⣾⣿⢠⡿⠋⣰⣿⠋⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣭⣍⣛⣡⣾⡄⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠏⣾⣿⣿⡟⢸⣿⣷⣶⣶⣶⣶⣿⣿⡇⠙⢦⠀⣴⣿⣿⡏⣿⣷⡘⣿⣿⡆⠹⣿⣿
⡿⠟⣋⣵⣿⣿⣿⣿⠇⣿⣿⡟⢸⠇⣸⣿⡇⣸⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣧⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠸⢸⠇⣿⣿⡿⣼⣿⣿⣷⡹⢿⣿⠀⢻⣿
⣶⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⢸⠀⣿⣿⠁⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠤⠎⣠⣤⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⢸⠀⣿⣿⠀⣿⣿⡇⣿⣿⣿⣿⡩⢭⡭⠍⡍⠿⠏⠍⠿⠿⢿⣿⠥⠻⠿⠣⣾⠆⡭⠩⠉⠉⠭⡭⠤⠴⣶⣶⣦⠸⢿⣿⣿⣿⣿⣟⡛⢁⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡄⣿⣿⡇⢸⠀⣿⣿⡄⢿⣿⣷⠘⣿⣿⣿⣿⢸⡇⡇⡏⢹⠀⡇⡻⢬⣸⣿⣿⢘⠧⡅⣟⠈⡏⢸⢸⡏⢹⢸⡭⡷⢉⢭⣉⣓⣒⣒⣀⣀⣀⠒⠒⠛⠛⠛⠿⠿⠿⠟⠿⠟⠿⠛⠛⠛⠛⣛⣛⣛
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣧⢸⣇⠸⣿⣷⠘⣿⣿⣧⡘⢿⣿⣿⣮⣽⣧⣵⣬⣤⣵⣮⣭⣾⣿⡌⠆⣩⣵⣿⣧⣵⡬⢈⣁⡈⠰⠭⢵⣬⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣀⣀⡀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢰⣿⣿⡿⠟⠛⠃⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀
⣶⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣶⠀⣤⣤⣤⣤⣶⣿⣿⡈⠟⠁⠀⠀⢀⣠⣾⣿⡟⢠⣦⣤⣀⣀⡀⠀⢀⣀⣀⣠⣶⣤⣀⣀⣀⣄⠀⠀⠀⠀⠀⠀⠀⠀⣴⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣦⣀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⠀⣿⣿⣿⣿⡿⣇⠲⢶⣀⣀⣠⣴⡿⠿⠛⣉⣐⣛⣛⠻⢿⣿⠇⢠⡀⠻⣿⣿⣿⣿⣿⣿⣿⡏⢰⣷⡆⢰⣶⣶⣶⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣿⣿⣿⠀⣿⣿⣿⣿⠀⡈⠓⣠⣤⣤⣤⠤⠶⠾⠿⣿⣿⣿⠟⣡⣶⠶⠒⠤⡙⢦⠘⢿⣿⣿⣿⣿⣿⠀⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠇⣰⣿⣿⣿⡄⢻⣿⣿⡟⠀⠀⠀⢸⣿⠟⣠⡾⠛⠉⠓⢦⠙⡟⢸⣿⠁⠀⠀⠀⠘⡄⣿⣄⠙⢿⣿⣿⡇⢸⣿⣿⡇⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡟⠉⢿⣿⣿⡏⢠⣿⣿⡿⢿⣿⣄⠙⠋⠀⠀⠀⠀⢸⡟⢸⡏⠀⠀⠀⠀⠀⢱⠀⢸⣯⠀⠀⠀⠀⠀⠇⡿⠟⠁⠈⠉⠛⠁⣾⣿⣿⣿⡀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠏⣠⡆⢸⣿⠟⢠⣿⣿⡿⣰⣆⢻⠏⠀⠀⠀⠀⠀⠀⢸⡇⢿⡇⠀⠀⠀⠀⠀⡼⢸⡌⠿⣦⣀⣀⣀⠄⡀⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣧⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠃⣰⣿⠃⢸⠏⢠⣿⣿⣿⢣⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣌⠛⠦⢤⣀⡠⠔⣡⣾⣿⣷⣤⣭⣭⣴⡟⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠉⢿⣿⣧⡈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⡈⢻⣿⣿⣿⣿⣿⣿⣿⣿
⣼⣿⣿⠀⠏⣠⣿⣿⣿⡟⣼⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣷⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⢸⡄⢿⣿⣷⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣷⡀⢻⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡇⠀⣰⣿⣿⣿⡿⢱⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣤⣴⠆⣸⣿⣿⡇⣿⣿⡌⢿⣿⣧⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣷⡀⠻⣿⣿⣿⣿⣿⣿
⣿⣿⣇⣴⣿⣿⣿⡿⢡⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢃⣴⢻⣿⣿⢳⣿⣿⣿⡌⣿⣿⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢸⣿⣿⣿⣄⠹⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠟⣱⣿⣿⠟⢛⡉⢉⣀⠀⣀⣠⣴⣾⣿⣿⣿⢟⡉⠀⠲⠞⢹⣿⣿⢻⣷⡶⣩⠍⠟⠛⣛⣋⣩⣴⣾⣿⣿⣎⢿⡟⣸⣿⣿⣿⢁⡤⠒⠒⠒⠒⠲⠦⠬⡍⠿⠿⣿⠏⢠⣿⣿⢣⡙⣿⣧⠘⣿⣿⣿⣿
⣿⣿⣿⣿⢟⣡⣾⣿⡿⢡⣾⣿⢠⣿⠏⣰⣿⠋⣿⢿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠉⠁⠈⢉⣾⣿⡄⢼⣿⣿⣿⣿⣿⣿⠟⣩⣴⣶⠀⠿⢿⣿⡟⢸⣿⣷⣶⣶⣶⣶⣿⣿⡇⠙⢦⠈⣠⣿⣿⢇⣿⣷⡜⣿⣧⠘⣿⣿⣿
⡿⠟⣫⣴⣿⣿⣿⣿⠇⣿⣿⡟⢸⠇⣸⣿⡇⣸⣿⢸⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⢀⣼⣿⣿⣷⠸⣿⣿⣿⣿⣿⠏⣼⣿⠟⣡⣶⣿⡦⢹⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠸⢸⠇⣿⣿⡟⣼⣿⣿⣿⣞⢿⣧⠘⣿⣿
⣶⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⢸⠀⣿⣿⠁⣿⣿⢸⣿⣿⣿⣿⣿⣿⣝⠶⣤⣤⣶⠟⣼⣿⣿⣿⡀⣿⣿⣿⣿⡟⣸⣿⣷⣾⣟⣉⣥⡄⢻⠿⠸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠤⠞⣠⣤⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⢸⠀⣿⣿⠀⣿⣿⡇⣿⣿⣿⣿⡩⢭⡭⠍⡄⠶⠆⠌⠿⠿⢿⣿⠥⠹⠿⢿⣿⠃⡭⠩⠉⠉⠭⡭⠤⠴⣶⣶⣦⠸⢿⣿⣿⣿⣿⣟⡛⢁⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡆⣿⣿⡇⢸⠀⣿⣿⡆⢿⣿⣷⠘⣿⣿⣿⣿⢸⡇⡇⡏⢹⠀⡇⡻⢬⣸⣿⣿⢘⠧⡅⢋⡌⡏⢸⢸⡏⢹⢸⡭⡷⢉⢭⣍⣓⣒⣒⣀⣀⣀⠒⠒⠛⠛⠻⠿⠿⠿⠿⠿⠿⠿⠛⠛⠛⢛⣛⣛⣛
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣧⢸⣇⠸⣿⣷⠘⣿⣿⣧⡘⢿⣿⣿⣮⣽⣧⣵⣮⣤⣵⣮⣭⣾⣿⡌⣶⣭⣵⣿⣧⣵⠌⣨⣅⡈⠰⠭⢵⣬⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣀⣀⡀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢰⣿⣿⡿⠿⠛⠃⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀
⣶⣾⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣶⠀⣤⣤⣤⣤⣶⣿⣿⠈⠟⠁⠀⠀⠀⣠⣾⣿⡟⢠⣦⣤⣀⣀⡀⠀⣀⣀⣀⣠⣶⣤⣀⣀⣀⣄⠀⠀⠀⠀⠀⠀⠀⠀⣴⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣦⣀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⠀⣿⣿⣿⣿⠿⣇⠲⢶⣀⣀⣠⣴⡿⠿⠛⣉⣐⣛⡛⠻⢿⣿⠇⢠⡀⠻⣿⣿⣿⣿⣿⣿⣿⡇⢰⣶⡆⢰⣶⣶⣶⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣿⣿⣿⠀⣿⣿⣿⣿⠀⡈⠓⣠⣤⣤⣤⠤⠶⠾⠿⣿⣿⣿⠟⣡⣶⠶⠒⠤⡙⢆⠘⢿⣿⣿⣿⣿⣿⠀⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠇⣸⣿⣿⣿⡄⢻⣿⣿⡏⠀⠀⠀⢸⣿⠟⣠⡾⠛⠉⠓⢦⠙⡟⢸⣿⠁⠀⠀⠀⠘⡄⣷⣄⠙⢿⣿⣿⡇⢰⣿⣿⡇⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡟⠉⢿⣿⣿⡏⢠⣿⣿⡿⢿⣷⣄⠙⠋⠀⠀⠀⠀⢸⡏⢸⡏⠀⠀⠀⠀⠀⢱⠀⢸⣿⠀⠀⠀⠀⠀⠇⡿⠟⠀⠈⠉⠛⠀⣾⣿⣿⣿⡀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠏⢠⡆⢸⣿⠏⢠⣿⣿⡿⣰⣆⢻⠏⠀⠀⠀⠀⠀⠀⢸⡇⢿⡇⠀⠀⠀⠀⠀⡼⢸⡌⠿⣦⣀⣀⣀⠄⡀⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣷⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠃⣰⣿⠇⢸⠏⢠⣿⣿⣿⢣⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣷⣌⠛⠦⣤⣀⡠⠔⣡⣾⣿⣷⣤⣭⣭⣴⡟⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠉⢿⣿⣧⡈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⡈⢻⣿⣿⣿⣿⣿⣿⣿⣿
⣼⣿⣿⠀⠏⣠⣿⣿⣿⡟⣼⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣷⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⢸⡌⢿⣿⣧⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣷⡀⢻⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡇⠀⣰⣿⣿⣿⡿⢡⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣤⣴⠆⣸⣿⣿⡇⣿⣿⡌⢿⣿⣧⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣷⡀⠻⣿⣿⣿⣿⣿⣿
⣿⣿⡇⣴⣿⣿⣿⡿⢡⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⠿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢃⣤⢻⣿⣿⢳⣿⣿⣿⡌⣿⣿⠄⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣄⠹⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠟⣡⣿⣿⠟⢛⡉⢉⣀⠀⣀⣠⣴⣾⣿⣿⣿⣩⡀⠐⠖⠊⣿⣿⠗⣶⣾⡍⣭⠭⠟⠛⣛⣋⣩⣴⣾⣿⣿⣎⠿⠿⢸⣿⣿⣿⢁⡤⠒⠒⠒⠒⠲⠦⠬⡍⠿⠿⣿⠏⢀⣿⣿⢣⡙⣿⣦⠘⣿⣿⣿⣿
⣿⣿⣿⣿⢟⣡⣾⣿⡿⢡⣾⣿⢠⣿⠏⣰⣿⢋⣿⢿⣿⣿⣿⣿⣷⠀⠀⠀⠈⠁⠀⠉⣩⣾⣿⡄⢼⣿⣿⣿⣿⣿⣿⣿⢛⣥⣶⣶⠆⠿⢿⡟⢸⣿⣷⣶⣶⣶⣶⣿⣿⡇⠙⢦⠈⣠⣿⣿⢇⣿⣷⡜⣿⣧⠘⣿⣿⣿
⡿⠟⣩⣴⣿⣿⣿⣿⠇⣿⣿⡏⢸⠇⣸⣿⡇⣸⣿⢸⣿⣿⣿⣿⣿⣧⣀⠀⠀⠀⢀⣴⢿⣿⣿⣷⠸⣿⣿⣿⣿⣿⡟⢡⣾⣿⣋⣤⣾⣿⠆⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⢸⠇⣿⣿⡟⣼⣿⣿⣿⣞⢿⣇⠘⣿⣿
⣶⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⢸⠀⣿⣿⠁⣿⣿⢸⣿⣿⣿⣿⣿⣿⣬⡻⠿⠿⢟⣡⣿⣿⣿⣿⡀⣿⣿⣿⣿⣿⢁⣿⣿⣿⣿⣭⣭⣤⡌⠿⠸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠤⠞⣠⣤⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⢸⠀⣿⣿⠀⣿⣿⡇⣿⣿⣿⣿⡩⢭⡭⠍⡍⠿⠏⠍⠿⠿⢿⣿⠡⠻⠿⢿⣿⠏⡬⠩⠉⠉⠭⡭⠤⠴⣶⣶⣦⠸⢿⣿⣿⣿⣿⣟⡛⢁⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡄⣿⣿⡇⢸⠀⣿⣿⡆⢿⣿⣷⠘⣿⣿⣿⣿⢸⡗⡇⡏⢹⠀⡇⡻⢬⣸⣿⣿⢘⠯⣅⣉⡌⡏⢸⢸⡏⢹⢸⡭⡷⢉⢭⣍⣓⣒⣒⣀⣀⣀⠒⠒⠛⠛⠻⠿⠿⠿⠻⠿⠿⠿⠛⠛⠛⢛⣛⣛⣛
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣧⢸⣇⠸⣿⣷⠘⣿⣿⣧⡘⢿⣿⣿⣮⣵⣧⣵⣮⣤⣵⣮⣭⣾⣿⡌⣶⣭⣵⣿⣧⠵⠌⣨⣅⡈⠰⠭⢵⣬⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡀⢠⣿⣿⡿⠟⠛⠃⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣾⣿⣿⣿⣷⣾⣾⣿⣿⡇⢰⣦⣄⡀⢀⣠⣤⣴⣿⣿⣿⠈⠟⠁⠀⠀⢀⣠⣾⣿⡿⢠⣄⣀⡀⠀⠀⠀⣀⣠⣴⣤⣀⣀⣀⣀⣤⠀⠀⠀⠀⠀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣦⣀⠀⠀⠀⠀⠀⠀⢀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣸⣿⣿⡇⢸⣿⣿⣿⠉⠁⠲⢶⣀⣀⣠⣴⡿⠿⠛⣉⣐⣛⡛⠻⠿⠿⣿⠛⠻⣿⣿⣿⣿⣿⣿⣿⡏⢠⣦⣤⠀⣤⣤⣶⣾⣿⣿⣷⣦⣤⣤⣤⣤⣤⣤⣶⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⣿⣿⣿⣧⠀⣿⣿⡇⢰⡄⠓⣠⣤⣤⣤⠤⠶⠾⠿⣿⣿⣿⠟⣡⣶⠖⠒⠠⡀⠈⢻⣿⣿⣿⣿⣿⠁⣿⣿⣿⡁⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡿⢁⣾⣿⣿⣿⣿⣆⠸⣿⠁⠈⠀⠀⢸⣿⠟⣡⠶⠛⠛⠓⠦⠙⡟⢸⣿⠁⠀⠀⠀⠈⡀⣆⠙⢿⣿⣿⣿⠀⣿⣿⣿⡆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡿⢁⣾⣿⣿⢏⡙⣿⣿⡄⠉⠀⠀⠀⠀⢸⡟⢰⡏⠀⠀⠀⠀⠀⢱⠀⢸⣧⠀⠀⠀⠀⠀⠃⡿⠗⠀⠉⠉⠛⠀⣿⣿⣿⣧⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠟⠁⢸⣿⡿⢁⣾⣿⣿⡿⣸⣿⣌⠏⠀⠀⠀⠀⠀⠀⢸⡇⢸⡇⠀⠀⠀⠀⠀⡸⢸⡌⠿⣦⣀⣀⣀⠔⡀⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣇⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠃⣴⡇⠈⡿⠁⣾⣿⣿⣿⢣⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⢸⣿⣌⠛⠦⣤⣤⡤⠔⣡⣾⣿⣷⣤⣭⣭⣴⡞⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⡘⢿⣿⣧⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢀⠹⣿⣿⣿⣿⣿⣿⣿⣿
⣼⣿⡇⠸⠁⣼⣿⣿⣿⢃⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣷⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢀⣤⣿⡇⣿⡜⣿⣿⣇⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣾⣆⠹⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡇⠀⣼⣿⣿⣿⢏⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣤⣴⠆⣸⣿⣿⢸⣿⣿⡜⣿⣿⡆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣆⠹⣿⣿⣿⣿⣿⣿
⣿⣿⠀⣼⣿⣿⣿⠏⣾⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⢀⣼⣿⡿⡛⠡⣖⣛⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢃⣄⢿⣿⡏⣿⣿⣿⣿⡜⣿⣷⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢰⣿⣿⣿⣆⠹⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡿⣫⣾⣿⣿⠟⢛⡉⢉⣀⠀⣀⣠⣴⣾⣿⣿⣾⣷⠀⠙⠋⢻⣿⡾⣭⣭⣟⢛⣛⠛⠛⠛⣛⣋⣩⣴⣾⣿⣿⡜⣿⠸⠿⠿⠿⢿⢁⡤⠒⠒⠒⠒⠲⠦⠬⡍⠿⠿⣿⡿⠁⣾⣿⡏⡝⢿⣧⠙⣿⣿⣿⣿
⣿⣿⣿⡿⣫⣾⣿⣿⡿⢡⣾⣿⢠⡿⠋⣰⣿⢋⣿⢿⣿⣿⣿⣿⣧⠀⠀⠀⠉⠀⠻⠿⣫⣾⣿⡄⢣⣿⣿⣿⣿⣿⣿⣿⣿⠟⣠⣴⣾⡿⠇⠘⢸⣿⣷⣶⣶⣶⣶⣿⣿⡇⠙⢦⠘⢀⣾⣿⡿⣸⣿⣎⢿⣧⠘⣿⣿⣿
⠿⢛⣩⣾⣿⣿⣿⣿⠇⣿⣿⡟⢸⠇⣸⣿⡇⣸⣿⢸⣿⣿⣿⣿⣿⡷⢤⣀⣀⣠⡴⢻⣿⣿⣿⣷⠸⣿⣿⣿⣿⣿⣿⡿⢁⣾⣿⣯⣭⣶⣶⡦⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⢸⠇⣿⣿⣿⢣⣿⣿⣿⣮⢿⣇⠘⣿⡟
⣾⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⢸⠀⣿⣿⠁⣿⣿⣸⣿⣿⣿⣿⣿⣿⣶⣭⣭⣭⣵⣿⣿⣿⣿⣿⡀⣿⣿⣿⣿⣿⡟⢡⣿⣿⣿⣿⣿⣧⣴⠄⠸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠤⠞⣠⣤⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⢸⠀⣿⣿⠀⣿⣿⡇⣿⣿⣿⣿⡩⢭⡭⠍⡍⠿⠏⠍⠿⠿⢿⣿⠥⠹⠿⢿⣿⠟⡤⠩⠉⠉⠭⡭⠤⠴⣶⣶⣦⠸⢿⣿⣿⣿⣿⣟⡛⢁⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡄⣿⣿⡇⢸⠀⣿⣿⡄⢿⣿⣷⠘⣿⣿⣿⣿⢸⣇⡇⡏⢹⠀⡇⡻⢬⣸⣿⣿⢘⠧⡅⣴⡎⡏⢸⢸⡏⢹⢸⡭⡷⢉⢭⣍⣓⣒⣒⣀⣀⣀⡒⠒⠛⠛⠿⠿⠿⠿⠻⠿⠿⠿⠛⠛⠛⢛⣛⣛⣛
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣧⢸⣇⠹⣿⣷⠘⣿⣿⣧⡘⢿⣿⣿⣮⣵⣧⣵⣮⣤⣵⣮⣭⣾⣿⡌⠶⠭⠵⠿⠧⠕⢈⣬⣅⡈⠰⠭⢵⣬⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢠⣿⣿⡿⠟⠛⠃⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣶⣤⣤⣤⣤⣤⣶⣿⣷⡦⠀⣀⡀⣀⠀⢠⣴⡟⠈⠲⣤⠈⠟⠁⠀⠀⢀⣠⣾⣿⡟⢠⣀⣀⣀⣀⣤⣴⣾⣷⣤⣀⣀⣤⣤⡀⠀⠀⠀⠀⠀⠀⢀⣴⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣸⣿⣿⣿⡆⢸⣿⡇⢸⡆⠲⢶⣀⣀⣠⣴⡿⠿⠛⣉⣐⣛⡛⠻⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣰⣤⣤⡄⢰⣾⣿⣿⣿⣿⣦⣄⣀⣀⣀⣀⣤⣶⣿⣿⣿⣿⣿⣶⣦⣤⣤⣤⣤⣴⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠏⢠⣿⣿⣿⣿⣇⠸⣿⠀⣾⡿⠒⣠⣤⣤⣤⠤⠶⠾⠿⣿⣿⣿⢋⣴⡶⠖⠒⠨⡙⢿⣿⣿⣿⣿⣿⠀⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⠏⣠⣿⣿⡿⣉⢿⣿⣦⡀⠀⠋⠀⠀⢸⣿⠟⣡⠾⠛⠛⠓⠦⡙⡏⢸⣿⠀⠀⠀⠀⠰⠀⠙⢿⣿⣿⡇⢸⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠋⣰⣿⣿⣿⢣⣿⣆⠻⡿⠁⠀⠀⠀⠀⢸⡟⢰⠏⠀⠀⠀⠀⠀⢰⠀⢸⣧⠀⠀⠀⠀⠀⠀⡷⠖⠉⠉⠁⠀⢿⣿⣿⣿⡀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⠃⣰⣿⣿⣿⢇⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⢸⡇⢿⡄⠀⠀⠀⠀⠀⠸⢸⣌⠻⣦⣀⣀⣀⠌⡈⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⡈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠟⠉⣿⠇⣰⣿⣿⣿⢏⣾⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⢸⣿⣌⠻⠶⣤⣤⡤⠔⣡⣿⣿⣷⣦⣬⣭⣴⡞⠀⠀⠀⠀⠀⠀⠀⠀⣿⢡⡘⣿⣷⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠘⣿⣿⣿⣿⣿⣿⣿
⠏⢠⠀⡏⢠⣿⣿⣿⢣⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢀⣴⡇⣾⣷⠸⣿⣷⡈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣀⠘⣿⣿⣿⣿⣿⣿
⢀⣿⠀⢀⣿⣿⡿⢣⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣤⣴⠆⣸⣿⢰⣿⣿⣧⢹⣿⣷⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⣿⣧⠘⢿⣿⣿⣿⣿
⣿⣏⢀⣾⣿⡿⣱⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⢀⣴⡿⠃⠀⣷⣬⣛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢃⣄⢻⠇⣾⣿⣿⣿⣇⢿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣾⣿⣿⣷⡈⢿⣿⣿⣿
⣿⣿⣿⣿⡿⣱⣿⣿⣿⣿⠟⢛⡉⢉⣀⠀⣀⣠⣴⣾⣿⣇⡷⡀⢼⣻⣏⢿⣷⡮⣭⣛⠛⠻⠿⠛⠟⠛⣛⣋⣩⣴⣾⣿⣿⣜⣼⣿⠿⢛⣉⡉⢀⡤⠒⠒⠒⠒⠲⠦⠬⡍⠿⠿⣿⣿⡿⠁⣼⣿⡟⢿⣿⣷⡈⢿⣿⠋
⣿⣿⣿⠟⣱⣿⣿⣿⡿⢡⣾⣿⢠⡿⠋⣰⣿⠋⣿⢿⣿⣿⣧⣝⠷⠶⠿⠿⠿⢷⣶⣶⣿⣿⣿⡄⠋⣼⣿⣿⣿⣿⣿⣿⣿⣿⠟⣡⣾⣿⣿⠇⢸⣿⣷⣶⣶⣶⣶⣿⣿⡇⠙⢦⠘⡟⢁⣾⣿⡟⣼⣎⢿⣿⣧⢸⠇⢠
⡿⠟⣩⣾⣿⣿⣿⣿⠇⣿⣿⡟⢸⠇⣸⣿⡇⣸⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠰⣿⣿⣿⣿⣿⣿⣿⡟⣡⣾⣿⣿⣿⣶⡆⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⢸⠇⢠⣾⣿⡿⣽⣿⣿⡜⢿⡇⠀⠰⣿
⣶⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⢸⠀⣿⣿⠁⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⣿⣿⣿⣿⣿⡿⢋⣼⣿⣿⣿⣿⣿⡿⠶⠸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠤⠎⣠⣤⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⢸⠀⣿⣿⠀⣿⣿⡇⣿⣿⣿⣿⡩⢭⡭⠍⡍⠿⠏⠍⠿⠿⢿⣿⠡⠹⠿⢿⡿⠟⡥⠨⠉⠉⠭⡭⠤⠴⣶⣶⣦⠸⢿⣿⣿⣿⣿⣟⡛⢁⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡄⣿⣿⡇⢸⠀⣿⣿⡄⢿⣿⣷⠘⣿⣿⣿⣿⢸⡇⡇⡏⢹⠀⡇⡻⢬⣸⣿⣿⢘⠧⡅⣶⡎⡏⢸⢸⡏⢹⢸⡭⡷⢉⢭⣍⣓⣒⣒⣀⣀⣀⠒⠒⠛⠛⠻⠿⠿⠿⠻⠿⠿⠿⠛⠛⠛⢛⣛⣛⣛
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣧⢸⣇⠸⣿⣷⠘⣿⣿⣧⡘⢿⣿⣿⣮⣵⣧⣵⣮⣤⣵⣮⣭⣾⣿⡌⠶⠭⠵⠿⠧⠑⣈⣨⣅⡈⠰⠭⢵⣬⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⣸⣿⣿⠿⠿⠇⠀⢀⣀⡀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀
⣤⣀⣀⣠⣤⣾⣿⣦⣄⡀⢀⣀⣀⡀⢸⣿⣿⡶⠤⣄⣀⡀⠻⠋⠀⠀⠀⢀⣴⣿⡿⠃⣤⣤⣴⣾⣿⣷⣶⣤⣄⣀⣀⣤⣄⡀⠀⠀⠀⠀⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣼⣿⣿⡇⢸⣿⣿⡇⢀⠈⠠⣶⣦⣄⣀⣠⣶⡿⠿⠋⠀⠚⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⣤⣤⣤⠀⣿⣿⣷⣦⣀⣀⣀⣀⣀⣤⣶⣿⣿⣿⣿⣿⣶⣦⣤⣤⣤⣴⣾⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡏⢠⣿⣿⣿⣇⠘⣿⣿⠀⢸⣷⠀⠀⣨⣭⣭⣥⠤⠶⠾⢿⣿⣿⣿⠖⣀⣉⣉⡋⠀⠉⠻⣿⣿⣿⣿⡇⢸⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡟⢠⣿⣿⣿⣿⣿⣆⠹⡿⠀⠈⠁⠀⠀⣿⡿⢋⣴⣶⣾⠶⠶⣌⠛⢡⣾⣿⠿⠛⠛⢷⡌⣶⡈⠻⣿⣿⡇⢸⣿⣿⣿⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡟⢀⣾⣿⣿⢇⣌⠻⣿⡦⠀⠀⠀⠀⠀⢀⣿⢠⣿⡟⠁⠀⠀⠀⠈⡇⣼⣿⠃⠀⠀⠀⠀⡇⢸⣿⣄⠙⣿⡇⢸⣿⣿⣿⡇⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⠟⢿⣿⡟⢀⣾⣿⣿⡏⣼⣿⣷⡙⠁⠀⠀⠀⠀⠀⢸⣿⢸⣿⠀⠀⠀⠀⠀⠀⠁⢹⣿⠀⠀⠀⠀⠀⠁⠟⠉⠁⠀⠀⠀⠈⢿⣿⣿⣿⡀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠃⠀⢸⡟⢀⣾⣿⣿⡟⣼⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⢸⣿⡌⠻⣄⡀⠀⠀⣀⢀⣼⣦⣙⡓⠀⠀⣀⣠⠂⠀⠀⠀⠀⠀⠀⠀⢸⠏⡙⣿⣷⡀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿
⠃⢠⡇⠘⢀⣾⣿⣿⡿⣱⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣶⣤⣭⣭⣭⣴⣾⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⡾⢰⣿⣎⢿⣷⡀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣷⡈⠻⣿⣿⣿⣿⣿⣿
⣠⣿⠃⢀⣾⣿⣿⡿⢡⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⢠⣾⠇⣾⣿⣿⡌⣿⣷⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣿⣿⣆⠙⢿⣿⣿⣿⣿
⣿⣿⣤⣾⣿⣿⡿⢡⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⣼⣿⡟⣱⡸⣷⣝⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡶⢂⣼⠸⣿⢸⣿⣿⠿⠿⠙⣛⣃⣘⣛⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣧⡈⢿⣿⣿⣿
⣿⣿⣿⣿⡿⢋⣴⣿⣿⣿⠟⢛⡉⢁⣀⡀⠀⠀⣠⣼⣿⣿⣿⣿⣿⣮⣝⣳⡮⠭⠛⠻⠿⠿⠿⠿⠿⠿⠿⠿⠛⣋⣴⣿⣿⡇⡇⣾⣿⢡⣮⣭⣤⣤⣤⣴⣶⣾⣆⢐⣂⠙⣿⣿⣿⣿⡟⢠⣿⡿⡛⢿⣿⣷⠈⣿⣿⣿
⣿⣿⣿⢛⣵⣾⣿⣿⡿⢡⣾⣿⢠⣿⠏⣠⣿⡟⢻⣿⣿⣿⣿⣿⣿⣏⡻⢿⣿⣿⠿⢿⣿⣶⣶⠀⢢⣶⣶⣿⣿⣿⣿⣿⣿⣿⣴⣿⠿⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⢘⡋⠀⣿⣿⣿⠟⢠⣾⣿⢣⣿⡜⣿⣿⡇⢸⣿⠃
⠿⣋⣴⣿⣿⣿⣿⣿⠇⣿⣿⡟⢸⡏⢰⣿⡿⢀⣿⡇⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⠿⢋⣠⣶⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡋⢁⣿⡿⠁⣴⣿⣿⢇⣾⣿⣿⡸⢿⣿⠀⠏⢰
⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⢸⠇⣼⣿⡇⣼⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢸⣿⣿⣿⣿⣿⡿⠛⣡⣶⣿⣿⣿⣇⠸⣿⣿⣿⣿⣿⣿⣿⡿⠀⢃⣨⣭⣤⣤⣤⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⢸⡀⣿⣿⡇⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⠿⠿⢛⣩⣴⠟⢋⣉⣭⣤⣤⣴⣶⣤⣉⣉⣉⣩⣭⣭⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡄⣿⣿⡇⢸⡇⢻⣿⡇⣿⣿⣧⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣶⣶⣿⣿⣿⣿⠀⣷⣶⣶⣦⣤⣭⣭⣭⣍⣛⣛⣛⣛⣛⣛⡛⠛⠛⠛⠻⠿⠿⠿⠻⠿⠛⠿⠛⠛⠛⠛⣛⣛⣛
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣇⢸⣧⠘⣿⣇⠸⣿⣿⣆⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣛⣛⣛⣉⣭⣤⣶⣦⣍⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⠿⠧⠀⠀⣀⡀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀
⣤⣀⣀⣠⣤⣾⣿⣦⣄⡀⠀⣀⣀⡀⢸⣿⣿⡶⠤⣄⣀⣀⠸⠛⠁⠀⠀⠀⣠⣾⣿⠇⣤⣤⣴⣾⣿⣷⣶⣤⣤⣀⣀⣤⣄⡀⠀⠀⠀⠀⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣼⣿⣿⡇⢸⣿⣿⡇⢀⠈⠁⣶⣦⣤⣀⣠⣴⣿⡿⠟⠁⠚⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⣤⣤⣤⠀⣿⣿⣷⣦⣀⣀⣀⣀⣀⣤⣶⣿⣿⣿⣿⣿⣶⣦⣤⣤⣤⣴⣾⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡏⢠⣿⣿⣿⣇⠘⣿⣿⠀⢸⣷⡀⠀⣉⣭⣍⣩⡭⠤⠴⢾⣿⣿⣿⡶⠆⣙⣛⡃⠀⠉⠻⣿⣿⣿⣿⡇⢸⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡟⢠⣿⣿⣿⣿⣿⡄⠹⡿⠀⠘⠁⠀⠀⣿⣿⠋⣡⣶⣿⣿⣶⣦⡙⢋⣴⣿⣿⣿⠿⢷⡌⢦⡈⠻⣿⣿⡇⢸⣿⣿⣿⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡟⢀⣾⣿⣿⢇⣌⠻⣿⡦⠀⠀⠀⠀⠀⠀⣿⠃⣾⣿⠟⠁⠀⠀⠀⠁⢸⣿⠟⠁⠀⠀⠀⠁⢸⣿⣄⠙⣿⡇⢸⣿⣿⣿⡇⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⠟⢿⣿⡟⢀⣾⣿⣿⡏⣼⣿⣧⡙⠁⠀⠀⠀⠀⠀⢰⣿⢸⣿⡏⠀⠀⠀⠀⠀⠀⢼⣿⠀⠀⠀⠀⠀⠀⣼⠟⠋⠀⠈⠁⠘⣿⣿⣿⣿⡀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠃⠀⢸⡟⢀⣾⣿⣿⡟⣼⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⢸⣿⡈⢿⣇⠀⠀⠀⠀⠀⢠⣌⠻⠄⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⢸⠏⡙⢿⣷⡀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿
⠃⢠⡇⠈⢀⣾⣿⣿⡿⣱⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣦⣍⣙⣒⣂⣠⣴⣿⣿⣿⣶⣶⣶⣾⡿⠀⠀⠀⠀⠀⠀⠀⠀⡸⢰⣿⣎⢿⣷⡀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣷⡈⠻⣿⣿⣿⣿⣿⣿
⣠⣿⠀⢀⣾⣿⣿⡿⢱⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⠟⣛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⢀⣴⠇⣾⣿⣿⡞⣿⣷⡀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣿⣿⣆⠙⢿⣿⣿⣿⣿
⣿⣿⣤⣾⣿⣿⡿⢡⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⢫⣦⣓⢜⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣤⠄⣴⠸⣿⠸⢛⣫⣭⣴⣶⣶⡄⠘⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣧⡈⢿⣿⣿⣿
⣿⣿⣿⣿⡿⢏⣴⣿⣿⣿⠟⢛⡉⢁⣀⡀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣷⣦⣬⣙⠛⠿⠿⢿⣿⣿⣿⣿⣿⠿⠿⢛⣡⣾⣿⡆⣡⣾⣿⣿⣿⣿⣿⣿⡔⠶⠸⡌⣿⣿⣿⣿⣿⣿⣿⣿⡟⢠⣿⡿⡛⢿⣿⣧⠈⣿⣿⣿
⣿⣿⣿⢛⣵⣿⣿⣿⡿⢡⣾⡿⢠⣿⠏⣰⣿⡿⢻⣿⢿⣿⣿⣿⣿⣿⣟⠿⣿⣿⣿⠿⢶⣶⣦⠀⢠⣶⣶⣶⣾⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣧⢙⡃⢇⢸⣿⣿⣿⣿⣿⣿⠟⢠⣾⣿⢣⣿⡌⣿⣿⡇⢸⣿⠃
⠿⣋⣴⣿⣿⣿⣿⣿⠇⣿⣿⡟⢸⡏⢠⣿⡿⢁⣿⡏⣼⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⡆⢾⣿⣿⣿⣿⣿⣿⣿⣿⡇⢻⣿⣿⣿⣿⣿⣿⣿⣷⡘⠃⠀⢾⣿⣿⣿⣿⡿⠁⣴⣿⣿⢃⣾⣿⣿⡸⢿⣿⠀⠇⢰
⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⢸⡇⣸⣿⡇⣼⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢸⣿⣿⣿⣿⣿⣿⠟⣉⣴⣆⠻⣿⣿⣿⣿⠿⢿⣿⠿⢀⣂⣈⣉⣉⣭⣭⣤⣤⣤⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⢸⡇⣿⣿⠃⣿⣿⡇⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⣿⣿⡿⠿⢋⣤⠚⢋⣉⣭⣤⣬⣙⣓⢚⣛⣋⣩⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡄⣿⣿⡇⢸⡇⢿⣿⡄⣿⣿⣧⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣤⣴⣶⣾⣿⣿⠀⣷⣶⣶⣦⣤⣭⣭⣭⣍⣛⣛⣛⣛⣛⣛⡛⠛⠛⠛⠛⠿⠿⠿⠻⠿⠟⠻⠛⠛⠛⠛⣛⣛⣛
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣇⢸⣧⠸⣿⡇⢹⣿⣿⡆⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠿⠿⠿⠛⣛⣩⣤⣤⣍⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢊⣴⣾⣿⣦⡀⠀⠀⠠⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀
⣀⣤⣤⣾⣿⣿⣷⣶⣶⡆⢰⣾⣿⠀⣿⣶⣶⣤⣤⣤⣶⣾⡇⢺⠟⠉⠁⠀⠀⣠⣾⡗⢸⣿⣷⣦⡤⠀⣀⣀⣀⣀⣤⣴⣄⡀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣤⣀⡀⠀⠀⠀⠀⢀⣀⣠⣴⣿⣿⣷⣶⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣸⣿⣧⢸⣿⣿⣿⣿⣿⣿⣿⢡⣤⣤⣤⣀⣠⣴⣾⣿⡟⠡⠿⣿⣿⣿⡇⢠⡈⠻⣿⣿⣿⣿⣿⣿⣿⠏⣰⣿⡇⣰⣦⣤⣤⣤⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡟⢀⣿⣿⣿⠀⣿⣿⣿⡇⠈⠛⢿⣦⠙⠛⡟⣿⣛⡛⠛⠭⢴⣿⣷⣦⣌⠻⠀⢾⣿⣦⠈⠻⣿⣿⣿⣿⡟⢠⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠁⣼⣿⣿⣿⡄⢹⣿⣿⡇⠸⠗⠀⠀⠈⣿⣿⠟⣡⣴⣶⣶⣶⣦⠹⢋⣥⣴⣶⣶⣤⡙⢿⣦⡈⢻⣿⣿⠇⢸⣿⣿⡇⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⠟⠉⣿⣿⣿⠇⢠⣿⣿⣿⣿⣿⣄⠹⠿⠃⠀⠀⠀⠀⢸⡿⢡⣾⣿⡿⠟⠋⠉⠛⠇⢻⣿⡿⠛⠉⠉⠻⡄⣿⣷⡄⠹⣿⠀⣾⣿⣿⣿⡄⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠟⢀⠀⣿⣿⠏⢠⣿⣿⡿⢉⠻⣿⡿⠂⠀⠀⠀⠀⠀⠀⣾⡇⣾⣿⠟⠀⠀⠀⠀⠀⠀⢸⠏⠀⠀⠀⠀⠀⠃⣿⣿⣿⣆⠘⠀⣿⣿⣿⣿⣿⡄⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠋⣠⣿⠀⣽⠏⢠⣿⣿⣿⣇⣿⣷⣌⠁⠀⠀⠀⠀⠀⠀⢰⣿⡇⢿⣿⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠠⠙⠋⠁⠀⠀⠀⠹⣿⠛⢿⣿⣷⡀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⡄⢻⣿⣿⣿⣿⣿⣿⣿⣿
⣴⣿⡿⠀⠏⢀⣿⣿⣿⡿⣸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣌⠛⠧⠄⠀⠀⢀⣠⣌⠻⠀⠀⠀⠀⣠⣴⠃⠀⠀⠀⠀⠀⠀⠀⣿⢠⣆⢻⣿⣷⡀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣷⡀⢿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡇⠀⢠⣿⣿⣿⣿⢣⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡿⢗⣒⣲⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣼⣿⣸⣿⡆⢿⣿⣧⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣷⡀⠻⣿⣿⣿⣿⣿⣿
⣿⣿⡇⣰⣿⣿⣿⣿⢣⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⢏⣾⣏⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⠀⠀⠀⣀⡠⠾⠿⠇⠿⠿⢿⡘⣿⣿⡆⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣾⣿⣿⣿⣦⡙⢿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠟⣱⣿⣿⠟⢋⡉⢁⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣷⣌⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⡡⠞⣩⣤⣘⢛⣦⡍⠛⠦⠙⡜⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⠃⣸⣿⣿⢰⡹⣿⣷⣄⠹⣿⣿⣿
⣿⣿⣿⣿⠟⣡⣾⣿⡿⢡⣾⣿⢠⣿⡿⢁⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣶⣤⣭⢍⡉⠉⣉⣉⣩⣤⣶⡟⣡⣿⣿⣿⣿⣤⣭⣄⠻⠗⢠⣿⡼⣿⡄⢻⣿⣿⣿⣿⣿⡿⠃⣼⣿⣿⠏⣿⣷⡘⣿⣿⡆⠹⣿⣿
⠿⠟⣋⣴⣿⣿⣿⣿⠇⣿⣿⡟⢸⣿⠃⣼⣿⡏⣰⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣮⣭⣵⣾⣿⠀⣿⣿⣿⣿⣿⢰⣿⣿⣿⣿⣿⣿⣿⢟⣯⣭⠈⣿⣷⢹⣿⡄⢻⣿⣿⣿⡿⠁⣾⣿⣿⡟⣼⣿⣿⣷⡸⢿⣿⠀⢻⣿
⣶⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⢸⣿⠀⣿⡿⢠⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⢿⣿⣿⣿⣿⣦⡙⢿⣿⣿⣿⣿⢣⣿⣿⡟⠰⠿⠟⠋⢛⣋⣀⣉⣉⣭⣥⣤⣤⣤⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⢸⣿⢸⣿⡇⢸⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢸⣿⣿⣿⣿⡟⣠⠖⢈⣙⡛⠿⠼⠟⣋⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡄⣿⣿⡇⢸⣿⠸⣿⡇⢸⣿⣿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⣛⣛⣛⣡⣾⣿⠀⣷⣶⣶⣦⣤⣭⣭⣭⣍⣛⣛⣛⣛⣛⣛⡛⠛⠛⠛⠻⠿⠻⠿⠟⠿⠿⠻⠛⠛⠛⢛⣛⣛⣛
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣧⢸⣿⡀⢿⣇⢸⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⡿⠿⢋⣴⣤⣍⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⣀⣀⣀⣀⡀⡀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡼⢃⣴⣾⣿⣦⡀⣤⠴⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀
⣤⣴⣾⣿⣿⣿⣿⣿⣿⡇⢸⣿⡇⢸⣿⣶⣶⣶⣶⣾⣿⣿⡇⢺⠟⠉⠁⠀⠀⣠⣾⡗⢸⣿⣦⣤⠀⠀⠀⣀⣀⣠⣤⣶⣤⣀⣀⣠⡤⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣤⣀⣀⠀⠀⠀⠀⣀⣠⣤⣾⣿⣿⣶⣤⣤⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣼⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⢡⣤⣤⣤⣀⣠⣴⣾⣿⡟⠡⠿⣿⣿⡿⠀⣷⣄⠙⣿⣿⣿⣿⣿⣿⣿⡿⠁⣼⣿⠀⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⣿⣿⣧⠸⣿⣿⣿⣿⣿⣿⣿⣦⠙⠛⣛⣿⣟⣛⠛⠭⢴⣿⣷⣦⣌⠃⠰⠿⣿⣦⡈⠻⣿⣿⣿⣿⣿⠃⣼⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⠿⣿⣿⣿⣿⠇⢸⣿⣿⣿⡀⢿⣿⣿⣿⠀⠙⠉⠀⠈⣿⣿⠟⣡⣴⣶⣶⣶⣦⠹⢋⣥⣴⣶⣶⣤⡙⢻⣶⡈⠻⣿⣿⡏⢸⣿⣿⣟⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡿⠋⠀⢹⣿⣿⡟⠀⣾⣿⣿⣿⣷⠘⢿⡿⠋⠀⠀⠀⠀⢸⡿⢡⣾⣿⡿⠟⠋⠉⠛⠇⢻⣿⡿⠛⠉⠉⠻⡄⣿⣿⣦⠈⢿⡇⢸⣿⣿⣿⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡟⠁⣴⡇⢸⣿⡿⠀⣾⣿⣿⡟⢿⣿⡷⠈⠀⠀⠀⠀⠀⠀⣾⡇⣾⣿⠟⠀⠀⠀⠀⠀⠀⢸⠏⠀⠀⠀⠀⠀⠃⣿⣿⣿⣇⠈⠇⢸⣿⣿⣿⣧⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢀⣾⣿⡇⢸⡿⠁⣼⣿⣿⣿⢠⣆⠻⠁⠀⠀⠀⠀⠀⠀⢰⣿⡇⢿⣿⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠙⠋⠁⠀⠀⠀⠘⣿⡟⢿⣿⣧⡀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣄⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡇⠈⠀⣼⣿⣿⣿⠇⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣌⡛⠧⠀⠀⠀⢀⣠⣌⠳⠀⠀⠀⢀⣠⣴⠃⠀⠀⠀⠀⠀⠀⠀⣿⡇⣆⢻⣿⣷⡀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⣺⣆⠘⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⠁⠀⣼⣿⣿⣿⡟⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡿⢗⣒⣒⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣼⣿⢣⣿⣆⢿⣿⣷⡄⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣿⣿⣆⠘⢿⣿⣿⣿⣿⣿⣿
⣿⣿⣟⢀⣾⣿⣿⣿⡟⣼⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⢏⣾⣏⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⠀⠀⠀⣠⡠⠾⠿⠟⠸⠿⢿⣎⢿⣿⣷⠈⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⣿⣿⣿⣧⡈⢿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡿⢋⣾⣿⠟⢋⡉⠁⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣷⣌⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⣡⠞⣩⣤⣘⢛⣦⡍⠛⠦⠙⣎⢿⣿⠀⢹⣿⣿⣿⣿⣿⣿⡿⠁⣼⣿⡟⣤⡻⣷⣄⠹⣿⣿⣿⣿
⣿⣿⣿⣿⣿⢟⣵⣿⡿⢡⣶⣿⢠⣿⡷⢁⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣶⣤⣭⢍⡉⢉⣉⣉⣩⣤⣶⡟⣡⣿⣿⣿⣿⣤⣭⣄⠻⠗⢠⣿⣎⢿⡇⠸⣿⣿⣿⣿⣿⡿⠁⣼⣿⣿⢇⣿⣷⡜⣿⣦⡈⢿⣿⣿
⠿⠿⢛⣫⣴⣿⣿⣿⠇⣿⣿⡏⢸⡿⠃⣼⣿⡏⣰⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣮⣭⣵⣾⣿⠘⣿⣿⣿⣿⣿⢰⣿⣿⣿⣿⣿⣿⣿⢟⣯⣭⠈⣿⣿⣸⣿⣄⠹⣿⣿⣿⡟⢀⣼⣿⣿⡟⣼⣿⣿⣿⡜⢿⣿⡄⠻⣿
⣶⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⢸⣿⠀⣿⡿⢠⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⢿⣿⣿⣿⣿⣦⡙⢿⣿⣿⣿⣿⢣⣿⣿⡟⠰⠿⠟⠃⢛⣋⣀⣈⣉⣭⣤⣤⣤⣤⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⢸⣯⢸⣿⡇⢸⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢸⣿⣿⣿⣿⡟⣠⠖⢈⣙⡛⠿⠼⠟⣋⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡄⣿⣿⡇⢸⣿⠸⣿⡇⢸⣿⣿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⣛⣛⣛⣡⣾⣿⠀⢷⣶⣶⣦⣤⣭⣭⣭⣍⣛⣛⣛⣛⣛⣛⡛⠛⠛⠛⠛⠿⠿⠿⠻⠟⠻⠻⠛⠛⠛⠛⣛⣛⣛
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣇⢸⣿⡀⢿⣇⢸⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⡿⠿⢋⣴⣦⣍⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣀⣀⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣦⡀⢀⣴⣾⣿⣦⡀⣠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀
⣶⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣶⠀⣤⣤⣤⣤⣶⣿⣿⣿⡇⢺⠟⠉⠁⠀⠀⣠⣾⡗⢠⣤⣀⣀⡀⠀⢀⣀⣀⣠⣶⣤⣀⣀⣀⣄⠀⠀⠀⠀⠀⠀⠀⠀⣴⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣦⣀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⠀⣿⣿⣿⣿⡿⣿⣿⢩⣤⣤⣤⣀⣠⣴⣾⣿⡿⠡⠿⣿⣿⣿⡇⢠⡈⠻⣿⣿⣿⣿⣿⣿⣿⡇⢰⣶⡆⢰⣶⣶⣶⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⠀⣿⣿⣿⣿⠀⡈⠻⣦⠙⠛⢿⣿⣛⣛⠛⠭⢴⣿⣷⣦⣌⠻⠀⠿⣿⣆⠘⢿⣿⣿⣿⣿⣿⠀⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠇⢰⣿⣿⣿⡀⢻⣿⣿⡏⠠⠟⠀⠀⠈⣿⣿⠟⣡⣴⣶⣶⣶⣦⠹⢋⣥⣴⣶⣶⣤⡙⢿⣄⠙⢿⣿⣿⡇⢸⣿⣿⡇⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⠟⠉⢿⣿⣿⡏⢠⣿⣿⡿⢿⣿⣄⠙⠿⠃⠀⠀⠀⠀⢸⡿⢡⣾⣿⡿⠟⠋⠉⠛⠇⢻⣿⡿⠛⠉⠉⠻⡄⣿⣧⡈⠻⣿⠀⣼⣿⣿⣿⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠋⢠⡆⢸⣿⠟⢠⣿⣿⡟⣰⣆⢻⣿⠂⠀⠀⠀⠀⠀⠀⣾⡇⣾⣿⠟⠀⠀⠀⠀⠀⠀⢸⠏⠀⠀⠀⠀⠀⠃⣿⣿⣷⣄⠙⠀⣿⣿⣿⣿⣧⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠃⣰⣿⠁⢸⠏⢠⣿⣿⣿⢣⣿⣿⣧⠁⠀⠀⠀⠀⠀⠀⢰⣿⡇⢿⣿⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠠⠙⠋⠁⠀⠀⠀⠹⣿⠉⢿⣿⣧⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⡈⢻⣿⣿⣿⣿⣿⣿⣿⣿
⣼⣿⡿⠀⠋⢠⣿⣿⣿⡟⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣌⠛⠧⠀⠀⠀⢀⣠⣌⠻⠀⠀⠀⢀⣠⣴⠃⠀⠀⠀⠀⠀⠀⠀⣿⢸⡄⢿⣿⣧⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣷⡀⢻⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡇⠀⣰⣿⣿⣿⣿⢡⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡿⢗⣒⣒⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣼⡇⣿⣿⡌⢿⣿⣧⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣷⡀⠻⣿⣿⣿⣿⣿⣿
⣿⣿⣇⣴⣿⣿⣿⡿⢡⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⢏⣾⣏⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⠀⠀⠀⣀⢠⠾⠿⠓⠿⠿⢿⡜⣿⣿⡀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣄⠹⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠟⣰⣿⣿⠟⢛⡉⠁⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣷⣌⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⡡⠞⣩⣤⣘⢛⣦⡍⠛⠦⠙⡜⣿⡇⠸⣿⣿⣿⣿⣿⣿⣿⣿⠏⢠⣿⣿⣣⡙⣿⣦⠘⣿⣿⣿⣿
⣿⣿⣿⣿⢟⣡⣾⣿⡿⢡⣾⣿⢠⣿⡿⢀⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣶⣤⣭⢍⡉⠉⣉⣉⣩⣤⣶⡟⣡⣿⣿⣿⣿⣤⣭⣄⠻⠗⢠⣷⡹⣿⡀⢻⣿⣿⣿⣿⣿⣿⠏⣠⣿⣿⢃⣿⣷⡜⣿⣧⠈⢿⣿⣿
⡿⠟⣉⣴⣿⣿⣿⣿⠇⣿⣿⡇⢸⣿⠃⣼⣿⡏⣰⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣯⣭⣵⣾⣿⠀⣿⣿⣿⣿⣿⢰⣿⣿⣿⣿⣿⣿⣿⢟⣯⣭⠈⣿⣇⢿⣿⡄⠹⣿⣿⣿⣿⠏⢰⣿⣿⡟⣼⣿⣿⣿⣞⢿⡇⠘⣿⣿
⣶⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⢸⣿⠀⣿⡿⢠⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢿⣿⣿⣿⣿⣦⡙⢿⣿⣿⣿⣿⢣⣿⣿⡟⠰⠿⠟⠘⢛⣋⣀⣈⣉⣭⣭⣤⣤⣤⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⢸⣿⢸⣿⡇⢸⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢸⣿⣿⣿⣿⡟⣰⠖⢈⣙⡛⠿⠼⠟⣋⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡄⣿⣿⡇⢸⣿⠸⣿⡇⢸⣿⣿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⣛⣛⣛⣡⣾⣿⠀⣷⣶⣶⣦⣤⣭⣭⣭⣍⣛⣛⣛⣛⣛⣛⡛⠛⠛⠛⠻⠿⠿⠿⠛⠿⠿⠿⠛⠛⠛⢛⣛⣛⣛
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣧⢸⣿⡀⢿⣇⢸⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⡿⠿⢋⣴⣤⣍⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡀⠀⠀⢀⣴⣾⣿⣦⡀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣾⣿⣿⣿⣿⣶⣾⣿⣿⡇⢰⣦⣄⡀⢀⣠⣤⣴⣿⣿⣿⣿⡆⢹⠟⠉⠁⠀⠀⣠⣾⡗⢀⣀⡀⠀⠀⠀⣀⣠⣴⣤⣀⣀⣀⣀⣤⠀⠀⠀⠀⠀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣦⣀⠀⠀⠀⠀⠀⠀⢀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢸⣿⣿⡇⢸⣿⣿⣿⠉⢹⣿⢩⣤⣤⣤⣀⣠⣴⣿⣿⡟⠡⠿⣿⣿⣿⣿⠛⠻⣿⣿⣿⣿⣿⣿⣿⡏⢠⣦⣤⠀⣤⣤⣴⣾⣿⣿⣷⣦⣤⣤⣤⣤⣤⣤⣶⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⣿⣿⣿⣧⠀⣿⣿⡇⢰⡄⠻⣦⠙⠛⠻⣟⣛⡛⠛⠭⢴⣿⣷⣦⣌⠻⣿⠀⣤⡈⠻⣿⣿⣿⣿⣿⠁⣾⣿⣿⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡿⢁⣼⣿⣿⣿⣿⡆⠸⣿⠀⠸⠟⠀⠀⢈⣿⣿⠟⣡⣴⣶⣶⣶⣦⠹⢋⣥⣴⣶⣶⣦⡑⢄⠙⢿⣿⣿⣿⠀⣿⣿⣿⡆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡟⠁⣾⣿⣿⠏⡙⢿⣿⣄⠘⠀⠀⠀⠀⠀⢸⡿⢡⣾⣿⡿⠟⠋⠉⠛⠇⢻⣿⡿⠛⠉⠉⠻⡄⣷⣄⠙⢿⣿⠀⣿⣿⣿⣧⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠟⠁⢸⣿⡿⠀⣼⣿⣿⡟⣸⣿⣌⠻⠋⠀⠀⠀⠀⠀⠀⣾⡇⣾⣿⠟⠀⠀⠀⠀⠀⠀⢸⠏⠀⠀⠀⠀⠀⠃⣿⣿⣧⡀⠻⠀⣿⣿⣿⣿⣇⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠁⣰⡇⠈⡿⠀⣾⣿⣿⡿⢡⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⢰⣿⡇⢿⣿⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠝⠋⠁⠀⠀⠀⠹⡟⡈⢿⣿⣆⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢀⠹⣿⣿⣿⣿⣿⣿⣿⣿
⣼⣿⡇⠐⠁⣼⣿⣿⣿⢃⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣌⠛⠧⠀⠀⠀⢀⣠⣌⠳⠀⠀⠀⢀⣠⣴⠃⠀⠀⠀⠀⠀⠀⠀⡇⣿⡌⣿⣿⣆⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣾⣆⠹⣿⣿⣿⣿⣿⣿⣿
⣿⣿⠃⠀⣰⣿⣿⣿⢇⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡿⢗⣒⣒⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣼⢸⣿⣿⡜⣿⣿⡆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣆⠹⣿⣿⣿⣿⣿⣿
⣿⣿⠀⣴⣿⣿⣿⠏⣼⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⢏⣾⣏⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⠀⠀⠀⣀⢰⠾⠇⠿⠿⠿⢿⡜⣿⣧⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢠⣿⣿⣿⣆⠹⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡿⢫⣾⣿⣿⠟⢋⡉⢁⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣷⣌⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⡡⠞⣩⣤⣘⢛⣦⡍⠛⠦⠑⡸⣿⡀⢹⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣾⣿⡏⡝⢿⣧⠙⣿⣿⣿⣿
⣿⣿⣿⡿⣋⣴⣿⣿⡿⢡⣾⣿⢠⣾⡿⢀⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣶⣤⣭⢉⡉⢉⢉⣉⣩⣤⣶⡟⣡⣿⣿⣿⣿⣤⣭⣄⠻⠗⢠⣧⢻⣷⠈⢿⣿⣿⣿⣿⣿⣿⡟⢀⣾⣿⡿⣸⣿⣎⢿⣧⠘⣿⣿⣿
⠟⢋⣡⣾⣿⣿⣿⣿⠇⣿⣿⡇⢸⣿⠃⣼⣿⡏⣰⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣷⣯⣭⣵⣾⣿⠀⣾⣿⣿⣿⣿⢰⣿⣿⣿⣿⣿⣿⣿⢟⣯⣭⠈⣿⡞⣿⣷⡈⢿⣿⣿⣿⣿⠏⢠⣾⣿⣿⢣⣿⣿⣿⣮⢿⡇⠘⣿⡟
⣾⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⢸⣿⠀⣿⡿⢠⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢿⣿⣿⣿⣿⣦⡙⢿⣿⣿⣿⣿⢣⣿⣿⡟⠰⠿⠗⠛⣛⣓⣀⣉⣉⣭⣭⣤⣤⣤⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⡇⢸⣿⢸⣿⡇⢸⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢸⣿⣿⣿⣿⡟⣰⠖⢈⣙⡛⠿⠼⠟⣋⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⡄⣿⣿⡇⢸⣿⠸⣿⡇⢸⣿⣿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⣛⣛⣛⣡⣾⣿⠀⣷⣶⣶⣦⣬⣭⣭⣭⣍⣛⣛⣛⣛⣛⣛⢛⠛⠛⠛⠻⠿⠿⠿⠟⠻⠟⠿⠛⠛⠛⢛⣛⣛⣛
⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣇⢸⣿⡄⢿⣇⢸⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢨⣿⣿⣿⡿⠿⢋⣴⣤⣍⡛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠁⠀⠸⣿⣿⣿⣿⠋⠠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠀⠙⣿⣀⣤⣶⣿⠋⠁⢈⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⣿⣿⡿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠙⠿⣧⣄⣤⣾⣏⡁⠁⠈⣹⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢠⣤⣤⣴⡿⠋⠀⠀⠀⠀⠀⠈⢷⢡⡇⠺⢁⠇⡪⠕⢺⣯⣽⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⠉⢹⠛⣿⣀⣠⣶⣾⠿⠛⠉⠉⢻⣷⠶⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⣀⡀⠹⡇⢸⠀⡇⠦⡀⡇⢕⠈⠤⠥⠭⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣟⡉⠀⠀⣬⣿⣀⣠⣴⣿⡿⠿⢿⣧⠀⣀⣴⣾⣿⡁⠄⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠻⣿⠇⠀⣧⠈⠈⠀⠁⠁⠁⠉⣰⢈⣁⣒⣖⠐⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢀⣠⣿⣿⡿⠿⠿⣿⡀⢀⣨⣿⣿⠋⠀⠀⢻⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⣀⣠⣼⣿⣷⣤⣀⣀⣀⣤⣾⣿⣬⣤⣤⣤⣤⣤⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⠀⠀⣨⣿⣿⠟⢉⠉⢻⣧⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⡿⠟⠛⠛⢿⡁⠀⢀⣽⣿⠟⠛⠛⣿⣀⣈⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣄⠀⠃⠀⣼⣿⣿⣿⣿⣿⡤⠁⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣯⣤⣴⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠿⠿⠿⠿⣿⡟⢿⡻⢿⠿⣿⠻⠿⣟⢛⡟⢻⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⢠⡶⠿⠋⠀⠀⠀⢀⣀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢘⡇⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⢻⠟⠛⠛⠛⡻⢻⢛⣟⢻⣛⠛⡻⠛⢛⠛⠛⢻⠛⠛⡟⠛⣟⠛⠛⡛⣿⠛⠛⠛⢻⠛⠛⡟⠛⢻⠛⠛⠛⠛⠛⢿⠛⠛⠛⠛⠛⠛⢻⠙⢻⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣾⣿⣿⡟⠛⡿⠟⢻⡛⡟⠟⡻⣿⢻⠗⢛⡻⢟⣿⠛⡿⢻⠿⡛⢟⠻⠛⠟⠟⣟⣟⢻⣻⡻⡿⣿⠟⠻⢿⡟⠻⡛⠛⡻⣺⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⢻⠿⠿⠿⠻⠿⢿⠿⠿⠿⠻⠷⣿⠿⡿⠿⠶⡟⢿⡿⠟⠟⢿⠿⠿⡿⠷⠾⠿⠿⠿⠿⠿⠿⢷⠟⡿⠿⠿⠿⢿⢿⡿⠻⢻⡿⢿⠿⢿⠿⢿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠾⡿⠾⢾⢾⠶⡶⠶⡾⢾⢾⠶⠶⠷⣿⣶⣷⣶⣷⣷⣾⣷⣶⣶⣾⣾⣷⣿⣶⣷⣶⣷⣶⣾⣾⣶⣾⣶⣷⣶⣷⣶⣷⣾⣷⣶⣾⣷⣾⣿⣾⣶⣾⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣶⣾⣶⣶⣿⣶⣶⣾⣶⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣼⣡⣤⣷⣧⣤⣿⣾⣥⣬⣤⣿⣬⣤⣤⣤⣬⣤⣆⣦⣤⣠⣼⣤⣦⣤⣤⣴⣿⣾⣤⣼⣰⣧⣤⣧⣴⣥⣯⣤⣤⣴⣦⣤⣬⣤⣸⣥⣼⣦⣼⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣾⣴⣿⣬⣭⣥⣥⣥⣬⣼⣯⣦⣥⣬⣼⣮⣯⣥⣷⣾⣤⣻⣭⣬⣽⣾⣤⣼⣽⣮⣥⣥⣿⣮⣯⣥⣥⣥⣿⣾⣭⣿⣿⣥⣭⣽⣧⣬⣦⣤⣮⣾⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣍⣸⣉⣩⣉⣉⣉⣹⣁⣍⣉⣟⣏⣉⣹⣉⣍⣸⣙⣉⣈⣉⣉⣉⣹⣉⣟⣏⣉⣋⣩⣻⣋⣚⣁⣿⣶⣍⣹⣈⣉⣯⣉⣇⣉⣏⣉⣁⣋⣉⣉⣹⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⣉⣭⣿⣩⣋⣿⣻⣉⣋⣉⣹⣉⣉⣿⣍⣙⣉⣋⣉⣿⣩⣿⣉⣙⣉⣯⣉⣋⣙⣿⣭⣋⣿⣹⣯⣯⣹⣟⣯⣋⣩⣍⣿⣭⣻⣟⣉⣫⣹⣯⣋⣹⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⠿⣛⣛⣹⡛⢟⣻⢟⡛⣛⣟⢛⡹⣟⣋⣛⡏⣏⣯⣛⡿⣛⣛⢻⢉⠭⡏⣿⢻⣟⣹⢹⢹⣙⡏⣩⣛⠟⣿⣏⡛⣻⣍⢽⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣻⢻⡿⠿⠻⡛⣿⡿⢟⠟⠻⢿⢿⡻⠿⠟⣿⣟⠿⣻⣻⠻⢿⠻⠛⢻⠻⠟⣿⠛⣿⠿⠻⡻⠛⠟⣿⠿⢻⢻⠿⡿⣻⡟⢿⡛⠻⢿⡻⢻⠛⢻⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠷⢻⠿⡿⢟⠷⠿⢿⡿⠿⢿⠿⠿⢿⠿⠿⠟⡿⢟⡿⠿⠿⠻⠿⣿⠿⣿⠿⠿⠿⠿⡿⠿⠶⢿⠿⢿⠿⠿⠿⠿⡿⢿⠟⢿⠿⢷⠾⡿⢿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢶⢶⠶⠶⠶⠶⡷⢿⡶⠶⢶⡿⠶⠾⢶⠶⢿⣶⠾⠶⡷⠿⢷⠶⣷⣶⣶⣿⣷⣿⣶⣶⣶⣾⣿⣶⣶⠾⠶⣾⢶⠶⡷⡶⠿⢾⣶⡾⠶⢾⡾⢶⢾⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡶⣿⠶⣾⣶⣾⣶⣾⣾⣾⣾⣷⣶⣷⣾⣷⣾⡿⡶⣶⣾⢶⣶⣷⡽⠿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣷⣿⣶⣶⣿⣿⣶⣾⣿⣶⣶⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣧⣿⣧⣿⣦⣯⣽⣥⣤⣮⣶⣶⣼⣴⣷⣾⣴⣤⣶⣮⣮⣶⣯⣾⣶⣦⣷⣤⣼⣵⣶⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣮⣽⣭⣼⣷⣿⣥⣯⣭⣽⣽⣥⣵⣭⣯⣽⣿⣭⣾⣽⣿⣽⣯⣭⣯⣯⣵⣿⣭⣯⣩⣧⣵⣭⣭⣭⣟⣉⣛⣉⣉⣋⣃⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⣦⢀⣀⠀⢀⣴⣖⡲⡶⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢴⣿⣿⣿⠏⠻⠿⠿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠹⣷⣶⣤⣤⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⡷⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠙⠋⠋⠛⢻⣿⣿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣽⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⡿⢿⣿⡿⠿⠿⢿⢿⠿⣿⠿⡿⡿⠿⠿⠿⡿⠿⠿⠿⠿⢿⢿⡿⢿⡿⢿⠿⡿⠿⢿⢿⠿⡿⣿⠿⣿⠿⡿⢿⡿⡿⢿⠿⠿⡿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠶⣷⣶⣷⣶⣶⢶⢶⣷⣾⢶⣶⣿⣷⣶⡿⡶⣾⣿⣷⣾⢶⣿⣴⣶⣾⡷⣷⣶⣷⡶⣾⣬⣤⣭⣭⣤⣥⣥⣥⣤⣥⢿⣿⣾⣶⣷⣷⣷⣾⣶⣾⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣵⣧⣴⣦⣤⣴⣤⣤⣶⣼⣤⣶⣧⣧⣤⣤⣤⣦⣤⣽⣴⣧⣧⣿⣼⣴⣤⣤⣶⣥⣤⣯⣼⣤⣤⣧⣤⣷⣦⣷⣦⣧⣼⣴⣽⣧⣾⣤⣤⣴⣤⣼⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣶⣤⣦⣸⣴⣤⣧⣥⣤⣤⣤⣤⣼⣤⣤⣤⣧⣤⣦⣤⣽⣤⣤⣄⣤⣤⣤⣤⣤⣤⣦⣵⣤⣧⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣩⣌⣿⣏⣩⣉⣉⣩⣉⣉⣿⣏⣟⣹⣿⣉⣨⣽⣽⣉⣩⣩⣉⣩⣿⣏⣹⣿⣉⣉⣍⣩⣉⣹⣿⣭⣿⣏⣽⣹⣿⣉⣩⣹⣿⣉⣹⣇⣉⣉⣩⣉⣻⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣙⣉⣙⣙⣉⣭⣋⣙⣹⣏⣫⣹⣏⣿⡏⣋⣙⣹⣏⣩⡉⣽⣯⣽⣟⣉⣉⣫⣿⣝⣋⣿⣋⣍⣋⣙⢉⣉⣿⣿⣹⡉⣫⣝⣉⣉⣍⣹⣏⣋⣉⣏⣹⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠻⠛⠛⠋⢛⠛⣿⢻⡛⢹⠛⢛⠛⢻⡟⡛⢻⣛⡛⣛⡏⠛⣻⡟⢻⠛⢛⠛⠛⡛⣿⢛⡛⣿⡛⢛⡛⠛⡛⢻⡟⠛⢻⡛⢻⡟⡛⢛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣛⠛⠟⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⠿⠿⡿⠿⠟⡿⣿⢿⠿⠿⠿⡿⠿⠿⡿⢿⠿⠿⠿⠿⢿⠿⠿⠿⢿⠿⠿⡿⢿⠿⠿⠿⠿⠿⡿⢿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠾⠷⣷⠷⠿⠿⠿⠿⣿⢿⠿⢿⠿⠿⠿⡷⢶⣶⠶⡿⣶⠶⠷⠷⣿⠿⡶⠿⣷⠶⢷⡷⡿⠷⠶⡶⢷⡶⠷⢷⡷⢾⢶⡶⢿⠾⢶⡷⢶⢶⡶⢷⢿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢶⣶⣿⣾⢿⣶⣿⣶⢿⣶⣶⣶⣶⢾⣿⣶⣾⣷⣾⣶⢿⢶⣶⡴⣿⣾⣶⣶⣾⣷⣾⣧⣾⣶⣶⣾⣾⣷⣶⣾⣷⣶⣾⣷⣶⣶⣶⣶⣶⣼⣧⣶⣾⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣦⣤⣶⣤⣤⣦⣭⣦⣦⣧⣴⣽⣴⣾⣤⣤⣤⣤⣼⣮⣤⣴⣤⣯⣼⣼⣷⣤⣬⣤⣤⣼⣥⣦⣼⣦⣦⣼⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣮⣿⣥⣭⣽⣼⣵⣽⣿⣮⣿⣴⣯⣽⣿⣯⣽⣯⣭⣭⣵⣽⣯⣭⣿⣯⣏⣉⣩⣥⣮⣽⣽⣯⣽⣥⣯⣿⣽⣯⣽⣵⣽⣏⣹⣬⣽⣬⣽⣶⣭⣽⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣩⣍⣉⣉⣋⣹⣏⣝⣹⣏⣙⣉⣩⣉⣝⣿⣉⣹⣿⣉⣉⣩⣁⣙⣿⣏⣹⣏⣉⣉⣉⣙⣈⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣉⣍⣹⣯⣹⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⣉⣋⣍⣙⣉⣙⣹⣉⣻⣝⣙⣹⣉⣫⣛⣹⣛⣙⣙⣍⣉⣉⣻⣝⣉⣏⣙⣿⣉⣉⢻⣹⣍⣹⣍⣙⣙⣯⣋⣹⣝⣉⣫⣏⣛⣋⣉⣍⣉⣯⣽⣹⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⣛⡛⣯⠛⠛⡟⢻⡛⣟⡛⠛⠙⣟⡛⢛⢻⢛⠛⢛⣛⡏⡟⢟⠛⠛⢛⢹⣛⠛⢻⠋⣛⠛⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⡿⠿⠿⡿⠟⠿⡿⠿⠻⡿⢿⠿⠿⠛⡛⠿⢿⢻⢿⠟⡛⠻⡿⠿⠿⣿⠿⠻⠻⠻⠿⢻⠿⢿⢛⢻⠛⠿⡿⠿⠟⠿⢿⠛⠛⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠷⡶⠶⠶⠲⠶⠶⠶⠶⠶⠲⠶⠶⠺⡿⠿⠿⠿⠿⠟⠟⠿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣾⣶⣶⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣷⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⣿⢿⡿⡟⣿⠿⠛⡿⢿⢿⠻⠿⠿⠿⠻⠻⠿⡿⠿⠿⡿⠿⢻⠻⢿⠛⢿⠿⠿⠿⢿⠿⠿⡿⢻⠿⢻⠟⠿⠿⠿⣿⢛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠿⠟⠿⠿⠿⠿⠿⠿⠿⠿⠿⢾⡟⡻⠿⠿⠷⠾⠟⠾⠿⠿⠿⠷⠿⢻⠿⠿⠟⡿⠿⠿⠷⠿⠿⠿⢻⣿⣷⣾⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠶⠶⠶⡾⡷⠶⢶⠶⠶⣶⠶⠶⠶⡷⡷⠶⣶⠶⡶⠶⠶⡶⡶⡶⠶⢶⠾⠶⡾⠶⠷⢶⠶⠶⠶⠾⠶⢾⠿⠿⠿⠿⣿⠿⢿⠿⢿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣭⣥⣬⣥⣥⣤⣤⣥⣥⣤⣤⣥⣬⣤⣤⣤⣤⣥⣭⣤⣤⣤⣥⣤⣴⣷⣷⣶⣶⣶⣶⣶⣶⣷⣷⣧⣬⣭⣤⣤⣤⣬⣭⣤⣬⣤⣬⣭⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠠⢄⢂⣀⡀⠀⢀⣠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⡼⠒⠉⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⡤⠀⠀⠙⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠺⢡⠿⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡧⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢱⡀⠻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⣀⣙⣄⠈⠁⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠶⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠃⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣧⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡂⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣖⣴⣴⣶⣾⣿⣿⣧⣤⣬⡁⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣨⣿⣩⣋⣿⣉⣁⣿⣼⣉⣉⣿⣉⣇⣊⣝⣫⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣹⣏⣝⣿⣋⣹⣉⣻⣿⣍⣻⣍⣸⣏⣍⣏⣀⣉⣽⣝⣻⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣙⣉⣙⣍⣹⣽⣉⣉⣉⣋⣙⣍⣉⣯⣝⣹⣿⣉⣩⣉⢏⣉⠋⣩⣋⣉⣽⣉⣉⣏⣋⣉⣭⣏⣯⣍⣉⣫⣹⣉⣫⣹⣙⣙⣩⣍⣉⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⢻⢛⠛⢻⡛⣿⡟⠛⠛⠻⠛⠛⣿⢻⡟⡟⡟⢛⠛⠛⠛⣛⢻⣛⠛⠛⠛⢻⡛⢻⣟⣿⢛⠟⣿⢿⡛⠛⣛⢻⡟⠻⡛⢛⠛⠛⠛⢛⢻⡛⢻⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠿⡻⢻⡛⠟⡗⠛⠻⡚⣟⢟⠿⣿⢛⠿⣛⡟⠺⣻⢻⡿⢛⡛⢟⢿⣛⢟⢟⡻⡛⠻⢟⢻⢻⡻⢛⡟⠻⣟⢟⡛⣟⢿⠻⠛⣟⠛⡟⣻⠿⢻⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⣿⡿⠿⠻⣿⠿⠿⠷⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣷⣶⣾⣶⣷⣶⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⡿⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⡿⣿⣿⡿⠿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣷⣶⣶⣶⣾⣿⣴⣶⣴⣶⣾⣷⣶⣮⣷⣾⣶⣷⣶⣿⣶⣷⣯⣶⣶⣶⣵⣷⣶⣷⣶⣿⣴⣷⣷⣶⣾⣦⣴⣶⣦⣿⣷⣿⣵⣶⣷⣾⣿⣾⣾⣾⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣥⣤⣿⣤⣤⣿⣤⣴⣶⣦⣬⣦⣤⣼⣤⣦⣤⣼⣥⣿⣤⣤⣶⣮⣥⣤⣼⣾⣦⣼⣾⣦⣼⣬⣽⣧⣥⣤⣤⣼⣼⣤⣴⣥⣴⣥⣧⣴⣼⣷⣤⣼⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⣤⣤⣬⣥⣧⣍⣧⣦⣼⣧⣴⣼⣶⣇⣯⣌⣲⣮⣵⣿⣯⣽⣮⣬⣽⣬⣬⣿⣯⣵⣯⣦⣷⣮⣼⣼⣯⣵⣪⣬⣵⣧⣶⣭⣵⣯⣵⣿⣿⣼⣵⣼⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⣅⣿⣩⣹⣉⣩⣉⣍⣍⣇⣍⣏⣩⣙⣻⣏⣯⣉⣩⣻⣩⣍⣭⣏⣉⣽⣏⣈⣩⣇⣉⣉⣩⣄⣯⣮⣉⣉⣇⣈⣹⣯⣍⣩⣹⣏⣍⣩⣁⣈⣈⣽⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⣙⣉⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⡛⠙⣻⣿⠛⠛⡟⠛⢻⠛⣿⢹⡛⠛⠋⠛⠛⡏⢛⠋⢟⠋⡛⢻⡛⠛⣻⡟⡛⣛⣿⠙⢹⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⡻⠿⢟⢻⣿⢿⡻⡿⢿⢛⢟⢻⡿⢿⡿⢟⡻⢿⠻⠟⢻⢿⣻⠻⣛⠿⢻⠿⣛⢟⠟⠛⣿⣻⠛⠿⣿⠟⢟⠿⡿⣿⡛⢻⢛⡿⣟⡿⠛⠿⡻⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠻⡟⡿⠷⡿⠻⠿⢿⡿⠿⠻⠿⠿⠒⠿⠻⠻⡿⠿⠿⢿⠿⠿⡿⠿⢿⢾⠻⢿⠿⠛⠿⠿⠿⠿⢿⡿⠿⢿⢿⠿⢻⢿⠻⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢾⠷⡷⢶⢾⠷⡶⠾⡾⢷⡶⠶⢶⡷⢶⣷⠶⡶⠷⠾⠷⡾⠶⡶⡷⠶⢾⠾⢶⡿⠷⢶⢷⠾⢶⠾⡷⢶⠿⢾⠷⢶⡾⠾⢶⣾⢷⢶⣿⢶⡿⠷⢾⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡾⣶⣿⣶⡶⣾⣷⣾⣿⣶⣶⡿⢶⣿⣿⣶⣷⣿⣿⣿⣶⣶⣾⡷⣶⣶⣶⢶⣷⣶⣶⣾⣶⣾⣷⣾⣷⣶⣾⣶⣶⣷⣿⣶⣿⣶⣶⢷⣶⢶⣷⣾⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢦⣧⣷⣽⣦⣵⣽⢶⣷⣬⡶⣼⣷⣤⠼⣦⣧⣿⢼⣤⣯⣦⣶⣥⣷⣦⣷⣵⣤⣦⣧⣷⣮⣾⣯⣧⣧⣬⣧⣤⣼⣶⣬⣯⣧⣮⣿⡶⣶⣧⣴⡶⣼⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣴⣤⣤⣦⣦⣤⣤⣶⣧⣶⣦⣦⣿⣦⣤⣷⣼⣬⣤⣤⣶⣤⣶⣼⣾⣾⣦⣤⣦⣤⣤⣬⣷⣧⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣼⣦⣤⣤⣽⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⣽⣽⣩⣩⣯⣿⣴⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣩⡟⣙⣿⣩⣉⣍⣹⢋⣛⣟⣩⣹⣋⣍⣙⣍⣙⣹⣹⣍⣩⣙⣽⣝⣙⣙⣏⣉⢻⡉⣛⣉⣍⣙⣽⣹⣏⣉⣉⣉⣻⣉⣯⣹⣏⣙⣏⣉⣋⣹⣭⣽⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣛⣿⢻⣻⡻⡹⡟⡛⡫⡻⣛⣿⣿⠹⣿⣿⢛⠟⣛⢿⢻⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⡻⡿⢟⢻⢻⠿⢿⡿⢿⠿⣿⣿⠟⢟⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠃⠀⠀⠀⠀⠀⠀⠀⠰⣦⠀⠀⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠐⠀⠀⠀⠀⢠⠆⠀⠀⠈⠀⢰⣯⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠐⢠⠔⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⡿⠛⢿⠻⠛⡛⡟⠛⡿⠛⠛⣻⠛⡻⠛⣛⣛⡛⢻⠛⡛⡟⢻⠟⢻⠻⡛⢻⢛⠛⡟⠛⡛⢛⡟⠛⡛⢛⢻⠟⣟⠛⢻⠛⢻⠟⢻⢛⣛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡿⢿⡻⠿⠿⡿⡿⢻⣿⢿⠻⢿⡿⠿⡻⣿⢿⡛⠿⡷⢿⢿⠿⡻⡿⢟⡿⢿⠿⣿⣻⠿⠿⢿⡿⠻⢿⢻⢟⡟⠛⡿⣿⠿⠿⢿⡿⠿⡟⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠾⠿⠿⢿⠿⢿⡿⠿⢿⣻⠾⡟⠿⠻⠟⡿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣶⣾⣶⣶⣿⣶⣾⣿⣾⣷⣿⣶⣷⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⣿⣿⣿⣿⢿⣿⣿⣿⣿⢿⣿⣿⣿⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣥⣿⣧⣦⣼⣾⣧⣦⣵⣶⣼⣦⣦⣼⣯⣼⣦⣿⣵⣿⣵⣦⣿⣴⣤⣤⣴⣾⣶⣦⣶⣴⣯⣿⣽⣦⣿⣥⣴⣽⣦⣴⣾⣴⣴⣯⣶⣦⣿⣴⣶⣼⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣦⣧⣼⣎⣸⣆⣾⣿⣮⣤⣼⣷⣴⣥⣿⣤⣤⣧⣷⣦⣴⣦⣯⣧⣤⣴⣤⣼⣤⣵⣶⣥⣧⣤⣥⣭⣤⣦⣽⣶⣷⣤⣾⣤⣯⣤⣭⣬⣧⣤⣿⣾⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣾⣦⣿⣭⣯⣼⣯⣽⣽⣿⣷⣤⣴⣿⣭⣽⣧⣶⣶⣾⣭⣭⣩⣭⣿⣯⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣨⣉⣿⣉⣹⣍⣩⣋⣿⣉⣍⣩⣿⣉⣉⣿⣉⣉⣹⣍⣍⣉⣿⣏⣹⣏⣨⣉⣭⣉⣉⣻⣏⣈⣹⣯⣉⣁⣹⣏⣩⣽⣇⣉⣿⣉⣉⣩⣿⣯⣉⣭⣹⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣙⣉⣙⣍⣩⣩⣏⣉⣿⣙⣭⣝⣉⡋⣉⣏⣭⣙⣏⣯⣏⣍⣋⣉⣽⣯⣯⣉⣯⣹⣋⣹⣙⣫⣋⣩⡋⣟⣉⣻⣍⣭⣋⣍⣿⢛⣉⣿⣉⣋⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢉⡿⢻⠛⡟⣟⣿⠛⡟⡟⡟⡙⣟⡏⢙⢻⠛⠻⡻⣛⢻⣿⢛⠟⠙⡛⢻⢻⣟⣻⢟⣿⠋⡟⣟⡟⡟⡋⢟⣛⢻⠛⡛⣿⣹⢹⠛⣿⠟⣿⢛⠋⢻⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⡻⠛⠛⠻⢻⠻⣻⡛⠛⢻⠛⠛⠟⡛⣛⠻⡟⡻⢻⡻⣟⠛⡿⠛⢻⠻⠛⢻⣛⠛⣟⡻⢛⢛⡟⡿⢻⠛⢟⡻⠛⠿⠛⠛⢟⡟⢛⡟⡻⢛⢛⢻⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠾⢿⠿⣿⡿⢻⣿⠿⣿⢿⣾⢿⡟⣿⡿⣿⢿⠿⣿⣿⡿⢿⣿⡿⠟⡻⢿⣿⢿⡿⢟⢻⠿⢿⢿⣿⡿⣿⡿⠿⢟⠿⢿⣿⡿⢿⣿⠻⡿⢻⠿⣟⢿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢾⡿⠿⠿⡿⠿⢿⡟⠻⠿⠿⠻⠿⢿⡷⡿⠿⠿⠿⠿⡟⠿⠿⠿⠿⡿⠿⠿⠻⠿⢿⠻⠿⡿⠿⡟⢻⡟⠿⢿⠿⡿⡿⠿⡿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢾⢷⠷⡷⡿⢾⠾⠷⣶⢶⡷⢶⠾⡶⡷⣿⢶⠿⠶⠷⡿⠾⡾⠶⢷⠷⠶⡾⡶⢶⡾⢶⠿⡷⡶⡷⡷⡷⡿⡶⡷⠶⠶⣾⢷⠶⠾⢿⢶⣶⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠶⠿⣶⣶⣷⣶⣷⣿⣶⣿⣷⣾⣶⣶⣷⣶⣿⣶⣾⣷⢷⣷⣶⣶⣶⣶⣶⣾⢷⣶⣾⣿⣶⣶⣷⣶⣧⣶⣾⣧⣶⣷⣿⣶⣿⣿⣶⣷⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣤⣤⣿⣧⣿⣧⣤⣴⣴⣿⣤⣬⣼⣧⣴⣼⣤⣵⣤⣤⣷⣼⣦⣴⣵⣴⣦⣴⣤⣿⣵⣾⣯⣶⣼⣧⣼⣦⣴⣿⣴⣿⣿⣴⣼⣶⣦⣦⣿⣯⣤⣼⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣼⣤⣾⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣩⣹⣩⣿⣧⣯⣁⣯⣉⣩⣹⣨⣧⣉⣍⣉⣙⣉⣽⣈⣹⣍⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣔⣼⣬⣬⣦⣤⣤⣤⣧⣧⣮⣦⣧⣼⣤⣤⣥⣧⣧⣧⣧⣬⣤⣬⣄⣢⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣙⣃⣉⣙⣛⣉⣓⣋⣃⣋⣉⣙⣚⣁⣋⣃⣉⣙⣋⣙⣛⣋⣊⣋⣉⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣏⣍⣉⣟⣙⣋⣘⣏⣍⣏⣉⣏⣹⣉⣍⣈⣻⣫⣁⣽⣫⣝⣻⣏⣙⣧⣤⣹⣉⣉⣏⣽⣍⣏⣉⣙⣯⣍⣉⣁⣘⣉⣗⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣬⣯⣮⣭⣾⣷⣬⣽⣴⣮⣭⣽⣤⣬⣥⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⡛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠓⠂⠛⠛⢻⣿⡗⠂⠀⠀⠀⢻⡇⡗⠚⠀⠀⠀⢻⣿⣿⠀⠀⠃⠐⠛⣿⣿⡇⠒⠒⠀⠐⠂⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⢸⡇⡇⠀⠀⠀⠀⢸⣿⣿⠀⠀⠁⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⢸⡇⡇⠀⠀⠀⠀⢸⣿⣷⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⢸⡇⡇⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠈⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣐⣲⣲⣲⣶⣶⣶⣆⠒⣖⣒⣶⣶⡆⣆⣲⣐⣶⣶⣶⣶⣶⣀⡒⢒⣰⣶⣶⣶⡆⠒⠐⠂⠲⠶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⡇⡇⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⡇⡇⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⡴⢀⠀⣿⡇⠀⠀⠀⠀⠲⡇⡇⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⣀⣀⣀⣒⣈⣂⣛⣃⣀⣀⣀⣀⣀⣃⣃⣀⣀⣀⣀⣀⣛⣛⣀⣀⣀⣀⣀⣀⣛⣃⣀⣀⣀⣀⣀⣛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 2298

╒═══════════════════ 𝐃𝐀𝐈𝐋𝐘 𝐋𝐈𝐍𝐊𝐒 ═════════════════════════════════════════════╕

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Gemini Links 13/02/2024: Eulogy for
Smartphones⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Feb 13, 2024


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


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * Gemini*_and_Gopher
          o Personal/Opinions
          o Technology_and_Free_Software
                # Internet/Gemini
                # Programming
    * § Gemini* and Gopher⠀➾


          o § Personal/Opinions⠀➾


                # ⚓ No_sugar_for_a_month⠀⇛


                       Some colleagues of mine had the wild idea to try
                       saying no to any added sugar for a month.


                # ⚓ Eight:_Apoptosis⠀⇛


                       I've long experienced a sensation while I'm working
                       on a problem. My strongest early memory of it
                       (though I am certain it was around before then) was
                       always associated with my Java programming class as
                       a first-year Computer Science major.


          o § Technology and Free Software⠀➾


                # ⚓ A_eulogy_for_smartphones_I'll_never_understand⠀⇛


                       When I was younger, I used to be really into
                       jailbreaking Apple devices. I had an old iPod--old
                       enough that jailbreaking it was relatively easy.
                       Back then, the fact that I knew how to jailbreak my
                       iPod didn't mean much to me. It was a cool thing I
                       knew how to do, to make cool modifications to my
                       device that Apple otherwise didn't want me to have.


                       Today, I own a Samsung smartphone. I've never
                       figured out how to root Samsung devices. Any
                       Android devices, really. I'm not sure why. It seems
                       like it'd be easier. The Android ecosystem has
                       always felt more open by design. Maybe Samsung
                       products are particularly mean about this sort of
                       thing. Maybe I just don't have the energy to
                       investigate these kinds of problems like I used to.


                # ⚓ removing_dead_bodies_from_the_process_list⠀⇛


                       I had over a 1000 PIDs on one of my servers that
                       were <defunct> zombies children of a weechat
                       process someone was running. I didn't want to kill
                       their weechat, but I still wanted the zombies gone.
                       So I sent the weechat a SIGCHLD just in case that'd
                       trigger a cleanup wait() in it. It did not.


                # ⚓ Tech_Goldilocks⠀⇛


                       Getting tech just right can be tricky; on the one
                       had you have the type that spends hours on IRC
                       asking how to make a read(2) call not block,
                       whether something can ask whether there are bytes
                       available to be read, how to deal with timeouts and
                       unexpected handle closures, and how deal with all
                       the prior complications with multiple handles at
                       the same time. The general advice here is to use an
                       async library. You can write some or all of this
                       yourself (and it might be good practice to do so,
                       possibly in private) but on the other hand libevent
                       or various other async libraries or languages do
                       exist. Yes, there can be a learning curve, but
                       there's also a learning curve to figure out select
                       (2) or poll(2) or whatever, and to step on (some
                       of) the same rakes that the authors of the async
                       library have already stepped on and know how to
                       avoid, depending on the maturity of the code in
                       question. Here, the complication of an abstraction
                       that handles async I/O is probably a good thing.


                # ⚓ Mounting_video_ram_on_Linux⠀⇛


                # ⚓ Mounting_video_ram_on_Linux⠀⇛


                       Hi, did you ever wonder if you could use your GPU
                       memory as a mount point, like one does with tmpfs
                       and RAM?


                       Well, there is a project named vramfs that allows
                       you to do exactly this on FUSE compatible operating
                       system.


                       In this test, I used an NVIDIA GTX 1060 6GB in an
                       external GPU case connected with a thunderbolt
                       cable to a Lenovo T470 laptop running Gentoo.


                # § Internet/Gemini⠀➾


                      # ⚓ Emacs:_Starting_Gemlog_Entries_Faster_(publ._2024-02-
                        12)⠀⇛


                             A great thing about gemtext is it is so
                             simple I don't need a CMS. But it was still
                             taking me a minute or two to create the new
                             gemtext file on the server, as I had to
                             login, navigate to the correct directory, and
                             type a file name with the correct date and
                             sequence number. I use a sequence number in
                             my system in case there is more than one post
                             a day. Naturally, the solution for me was an
                             Emacs function.


                # § Programming⠀➾


                      # ⚓ APL-likes_as_a_notation_for_thought⠀⇛


                             I recently took it upon myself to fill a hole
                             in my exposure to branches of the programming
                             tree and learn an APL-like.


                             APL is often labelled as an "array
                             programming language", indeed its name is
                             derived therefor, but having spent some time
                             learning the rudiments of one of the
                             languages "descendent" from APL i feel that
                             this "array language" moniker is missing the
                             wood for the trees.


===============================================================================
* Gemini_(Primer) links can be opened using Gemini_software. It's like the
World Wide Web but a lot lighter.





                    ䷩ 𝚕𝚒𝚗𝚎 2475

╒═══════════════════ 𝐃𝐀𝐈𝐋𝐘 𝐋𝐈𝐍𝐊𝐒 ═════════════════════════════════════════════╕

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Gemini Links 14/02/2024: HamsterCMS, Time
Capsules and Trust⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Feb 13, 2024


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


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * Gemini*_and_Gopher
          o Personal/Opinions
          o Politics_and_World_Events
          o Technology_and_Free_Software
                # Programming
    * § Gemini* and Gopher⠀➾


          o § Personal/Opinions⠀➾


                # ⚓ 🔤SpellBinding:_AYLMTUI_Wordo:_ABUSE⠀⇛


                # ⚓ Diet_Hacking⠀⇛


                       Food, not the parliamentary kind. The scientific
                       method is somewhat suspect when there's only you
                       with the placebo effect, though one can vary diet
                       over time and try to make sense of the changes.


                # ⚓ Partially-applied_self⠀⇛


                       Capsule and website craftsmanship is both an
                       artistic and narrative medium. When you build a
                       space on the internet, you are at once painting a
                       sort of painting and telling a sort of story.


                       When that space is personal, such as I intend for
                       njms.ca to be, irregardless of the protocol over
                       which it's served, that painting is a self-
                       portrait, and that story is autobiographical.


                       This is something I take as a given, despite the
                       fact that my capsule doesn't "look" much like I
                       look in the Real World, and the things I write
                       often have very little to do with my day-to-day
                       life. Nonetheless, the stories I write are very
                       literally a "piece of my mind" that I'm sharing
                       with you.


                # ⚓ A_visit_to_the_prison_in_Bowling_Green_MO⠀⇛


                       Remember my friend in jail[1]? When he first got
                       in, I submitted an application to visit him. But
                       things were complicated, the application got stuck
                       somewhere, somehow, and neither of us heard
                       anything more. Then it turned out he could only
                       have one visitor on his roster while in that
                       prison, and I wasn't the first choice (his wife
                       came first, go figure), so I was told to hold off.


                # ⚓ New_Year_Cleanup⠀⇛


                       Moved a slew of phlog files to the stasis folder,
                       old phlog entries from 2021 and 2022. This will of
                       course break any external references to those phlog
                       entries, but anyone actually interested in that
                       content can quite easily find them in stasis. Well,
                       stasis is sort of a mess actually... just not sure
                       I care to do anything about that.


                       It was hard to let go of 2022. Some part of me
                       wanted to keep it in the main phlog folder, as if
                       moving it to stasis was somehow letting go. I'm not
                       ready to let go of that year yet. I tell myself
                       it's fine, and that's sufficient, I think.


                # ⚓ Sky's_really_pretty._oh_I'm_growing_up_too.⠀⇛


                       Life's been getting a lot more cramped as of
                       recent, but honestly... the responsibility feel
                       quite refreshing on my quite bland life, while it
                       has been tiring I have learned a lot more than I
                       did in such a short span.


                       I am an adult now, well... I have been for a while.
                       Being an adult, being responsible, being
                       accountable, being free, having a wider perspective
                       upon the world. Growing up has positive and
                       negatives, but I don't believe I have ever been
                       this alive... ever.


                       I'm not a social person. I didn't develop social
                       skills when I was younger. I was (and to an extent,
                       still) unaware of how normal people talk in any
                       way. Writing this post is pretty difficult for me
                       now, not sure how to express what I'm thinking of
                       or if I'm doing something wrong.


          o § Politics and World Events⠀➾


                # ⚓ Putin_and_Tucker_Talk⠀⇛


                       Inexplicably, the band Spyro Gyra came to my mind
                       yesterday. I honestly couldn't remember anything
                       about them--only their name was rattling around in
                       my memory, disembodied. So, I looked them up and
                       listened to a few songs. As I was appreciating the
                       particularly dense and substantial 80's vibe in the
                       music video for Shakedown, I noticed that the
                       saxophonist (Jay Beckenstein) looked a lot like
                       Tucker Carlson. Just in this video, mainly. You'll
                       see it around 3:35, if you want to have a look.


                       This reminded me that I was meaning to write a
                       little something on Carlson's recent interview with
                       Vladimir Putin. I don't think my brain brought
                       Spyro Gyra forward for this reason, but that was
                       the net effect.


          o § Technology and Free Software⠀➾


                # ⚓ Absolute_Power_Superhero_RPG:_Seasons_One_and_Two_+
                  Anthology_arrived⠀⇛


                       My copies from the Absolute Power Superhero RPG:
                       Seasons One and Two + Anthology Backerkit campaign
                       came today.


                # ⚓ HamsterCMS_-_now_works_on_PHP_8.*⠀⇛


                       the most important (probably) news. HamsterCMS now
                       fully works under the latest versions of PHP! PHP
                       8.*


                       New templates have been delivered. Win3.11 and DOS
                       (as promised just now) have waited for their
                       release.


                # ⚓ Time_Capsules_and_Trust⠀⇛


                       The community changelog noted that their most
                       recent release included a certificate updater and
                       root certificates that were valid as of August
                       2023. My 2014 VM does not have these certificates;
                       I can still use networking tools on it like local
                       FTP or SSH, but I can't browse the modern HTTPS-
                       based Internet, even if I visit sites that don't
                       use Javascript. This is an interesting problem to
                       me: the problem of trust.


                # § Programming⠀➾


                      # ⚓ madeline:_a_line_editing_library_for_hare⠀⇛


                             a year and five days ago, i decided to write
                             a line editor. i've been using it in my
                             daily-driver shell for nearly that long now,
                             and i'm quite pleased with where i ended up.
                             let's walk through it!


                             my main goal for madeline was to guarantee
                             that, as a baseline, line-mode hare programs
                             in the wild would have a comfortable and
                             consistent line-mode ui. what `getopt::` does
                             for command-line interfaces, i wanted
                             madeline to do for line-mode interfaces


===============================================================================
* Gemini_(Primer) links can be opened using Gemini_software. It's like the
World Wide Web but a lot lighter.





                    ䷩ 𝚕𝚒𝚗𝚎 2693

╒═══════════════════ 𝐃𝐀𝐈𝐋𝐘 𝐋𝐈𝐍𝐊𝐒 ═════════════════════════════════════════════╕

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ Links 13/02/2024: Lingering Issues and
Revelations About Scale of Microsoft Layoffs⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


posted by Roy Schestowitz on Feb 13, 2024


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Ready_-_Get_Set...⦈_


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * Leftovers
          o Science
          o Education
          o Health/Nutrition/Agriculture
          o Proprietary/Artificial_Intelligence_(AI)
          o Security
                # Privacy/Surveillance
          o Defence/Aggression
          o Transparency/Investigative_Reporting
          o Environment
                # Energy/Transportation
                # Wildlife/Nature
                # Overpopulation
          o Finance
          o AstroTurf/Lobbying/Politics
          o Censorship/Free_Speech
          o Freedom_of_Information_/_Freedom_of_the_Press
          o Civil_Rights/Policing
          o Internet_Policy/Net_Neutrality
          o Digital_Restrictions_(DRM)
          o Monopolies/Monopsonies
                # Patents
                # Trademarks
                # Copyrights
    * § Leftovers⠀➾


          o ⚓ Chris ☛ Static_Actor–Motivation_Forecasting:_Peace_in_Middle
            East⠀⇛


          o ⚓ RFA ☛ Year_of_the_Dragon_is_now_Year_of_the_Loong,_according_to
            China⠀⇛


                 Some experts say the transliteration reflects China’s bid
                 to regain the right to speak on culture.


          o ⚓ Marcel Appelman ☛ Introducing_Single-Serving_Sites⠀⇛


                 After I launched How Many Days Until Omloop, I wondered
                 if there was a site that would list all single-serving
                 sites. Did some searching and I came to the conclusion
                 that there are no actively maintained sites for this.


                 Introducing: Single-Serving Sites. My effort to try to
                 list all the cool single-serving sites still online.


          o ⚓ Manuel Moreale ☛ Housekeeping⠀⇛


                 People and Blogs is about to hit 25 interviews. There’s
                 52 weeks in a year so we’re almost half way through year
                 one. I’m happy to see that people are enjoying the
                 series. Makes me so happy.


          o ⚓ Hackaday ☛ Bringing_Modern_Technology_To_A_Sled⠀⇛


                 Street sledding, a popular pastime in Norway, is an
                 activity that is slowly dwindling in popularity, at least
                 as far as [Justin] aka [Garage Avenger] has noticed. It
                 used to be a fun way of getting around frozen lakes and
                 roads during winter, and while some still have their
                 sleds [Justin] wanted to see if there was a way to
                 revitalize one of these sleds for the modern era. He’s
                 equipped this one with powerful electric turbines than
                 can quickly push the sled and a few passengers around the
                 ice.


          o ⚓ Hackaday ☛ Melodio_Self_Mate⠀⇛


                 While the proliferation of the smartphone has caused the
                 personal music player (PMP) market to mostly evaporate,
                 there are still those who prefer a standalone device for
                 their music. The Melodio Self-Mate is one such spiritual
                 successor to the iPod.


          o § Science⠀➾


                # ⚓ Futurism ☛ So_Much_Lava_Is_Oozing_Out_of_Iceland_That_You
                  Can_See_It_From_Space⠀⇛


                       So much lava is spewing forth from an erupting
                       volcano in Iceland that it can be spotted from
                       space.


                       A breathtaking image taken by the European Space
                       Agency's Copernicus' SENTINEL-2 satellite last
                       week, shows massive rivers of glowing-red lava
                       emanating from deep below the snow-covered surface.


                       It's the aftermath of the third eruption of the
                       Fagradalsfjall volcano since December — an
                       escalation of epic proportions that sets the tone
                       for uncertain geological times ahead.


                # ⚓ Science Alert ☛ Mysterious_Ancient_Megastructure_Discovered
                  Lurking_Beneath_The_Baltic_Sea⠀⇛


                       It seems to have been deliberately constructed?


                # ⚓ Science Alert ☛ Earth_Isn't_Flat,_But_New_Theory_Suggests
                  Jupiter_Might_Once_Have_Been⠀⇛


                       No joke.


                # ⚓ Science Alert ☛ 'Pioneer'_Humans_Entered_Europe_Thousands
                  of_Years_Earlier_Than_Thought⠀⇛


                       They were hardcore.


                # ⚓ Science Alert ☛ First_Phase_of_Europe's_Huge_New_Atom
                  Smasher_Could_Be_20_Years_Away⠀⇛


                       It's certainly ambitious.


          o § Education⠀➾


                # ⚓ Futurism ☛ College_Students_Basically_Don’t_Know_How_to
                  Read_Anymore⠀⇛


                       "For most of my career, I assigned around 30 pages
                       of reading per class meeting as a baseline
                       expectation," Kotsko, whose classes largely include
                       humanities and philosophy instruction, writes. "Now
                       students are intimidated by anything over 10 pages
                       and seem to walk away from readings of as little as
                       20 pages with no real understanding."


                # ⚓ Nicholas Tietz-Sokolsky ☛ Great_management_and_leadership
                  books_for_the_technical_track⠀⇛


                       In tech, we're fortunate to have separate
                       management and technical tracks, though it's still
                       underdeveloped. However, the path you take isn't
                       very clear, it's not broadly understood what the
                       responsibilities are, and there aren't as many
                       resources out there as there are for management.
                       But there are still some really good resources!


                       The technical track has recently started to get a
                       lot of very good writing around it. This is great!
                       We can learn from it, but we can also pull from all
                       the existing management and leadership literature
                       out there. While we staff+ engineers are not
                       managers, our roles have a lot of management-like
                       responsibilities, because leadership is a big
                       component of either track! So we have this wealth
                       of management and leadership books to draw from.


                # ⚓ Juha-Matti Santala ☛ Public_notes⠀⇛


                       I have been following a mindset of learning in
                       public for quite a few years now. In a nutshell, it
                       means openly sharing what I’m learning, what I’m
                       building, what I’m struggling to understand and
                       sharing the full(-ish) process openly in my blog,
                       social media, events and so on.


                       Recently, I’ve been thinking about wanting to
                       expand it more also into building in public. I’m
                       only in the beginning of this because it’s even
                       scarier than doing something in private and then
                       sharing the learnings in public. What I mean by
                       building in public is for example putting drafts
                       for my writing (blogs, tutorials, community
                       announcements, event pages and so on) out there,
                       sharing them with the community and having a
                       discussion way before they get published somewhere.


                # ⚓ Alex Ewerlöf ☛ When_Staff_Engineer_is_an_anti-pattern⠀⇛


                       For almost all technical leadership questions, the
                       candidate’s answer was a variation of delegating to
                       the tech lead, “architect”, or staff engineer.


                       Bottom line, the candidate was a people manager or
                       team admin, not an engineer who leads other
                       engineers.


          o § Health/Nutrition/Agriculture⠀➾


                # ⚓ YLE ☛ Finnish_researchers_look_at_what_makes_people_eat
                  their_veggies⠀⇛


                       Customers willing to experiment, vegetarians and
                       people with higher levels of education most often
                       ordered the vegetarian option for lunch, according
                       to the research results.


                # ⚓ Hackaday ☛ 3D_Printing_Functional_Human_Brain_Tissue_For
                  Research_Purposes⠀⇛


                       The brain is probably the least explored organ,
                       much of which is due to the difficulty of studying
                       it in situ rather than in slices under a
                       microscope. Even growing small organoids out of
                       neurons provide few clues, as this is not how brain
                       tissue is normally organized. A possible
                       breakthrough may have been found here by a group of
                       researchers whose article in Cell Stem Cell details
                       how they created functional human neural tissues
                       using a commercial 3D bioprinter.


                # ⚓ Ruben Schade ☛ Pseudoephedrine_in_Australia⠀⇛


                       DISCLAIMER: I am not a doctor or pharmacist, and
                       this post is not medical advice. Speak to a
                       qualified health care professional if you have any
                       questions or concerns.


                       🏥


                       Now here’s a niche topic! But it’s something I had
                       to deal with today.


                       The genes that gifted me blogging prowess, rugged
                       attractiveness, and self-delusion also saddled me
                       with unusually-narrow nasal passages. It’s not life
                       threatening, but it makes anything but mild
                       congestion excruciating, like I’m continuously
                       snorting wasabi, and without the benefit of some
                       nice sashimi on the side.


                # ⚓ New Yorker ☛ The_Argument_Over_a_Long-Standing_Autism
                  Intervention⠀⇛


                       Applied Behavior Analysis therapy has a troubling
                       history, and even many supporters say it was used
                       too widely in the past. But has criticism of the
                       practice gone too far?


                # ⚓ Science Alert ☛ Wherever_a_Dead_Body_Lies,_The_Exact_Same
                  Organisms_Always_Appear⠀⇛


                       Death comes to all. So do they.


                # ⚓ Science Alert ☛ Experts_Explain_What_Drinking_While_on
                  Medication_Can_Do_to_Your_Body⠀⇛


                       Ask your doctor.


                # ⚓ Latvia ☛ Latvia_among_EU_leaders_for_women_in_science_and
                  technology⠀⇛


                       In 2022, there were almost 7.3 million
                       female scientists and engineers in the European
                       Union, 310 500 more than in 2021, accounting for
                       41% of total employment in science and engineering,
                       reported Eurostat February 12.


                # ⚓ New York Times ☛ Children_Whose_Mothers_Had_Pregnancy
                  Complications_May_Face_Heart_Risks⠀⇛


                       Pregnant women with diabetes or high blood pressure
                       have children who are more likely to develop signs
                       of heart trouble years later, new research finds.


                # ⚓ TwinCities Pioneer Press ☛ Court_proceedings_remain_on_hold
                  in_Grand_Marais_moose_antler_murder_case⠀⇛


                       Levi William Axtell, 28, of Grand Marais, met with
                       a mental health evaluator Monday.


                # ⚓ Defence Web ☛ SA_“integration_programme”_for_Cuban-trained
                  military_doctors_questioned⠀⇛


                       Thirteen SA Military Health Service (SAMHS)
                       personnel are back in South Africa following six
                       years of “military medicine” training in Cuba and
                       find themselves in an 18 month “integration
                       programme” before qualifying as medical officers/
                       general practitioners.


                # ⚓ The Straits Times ☛ ‘Energy_stick’_inhalers_used_by
                  children_spark_concerns_in_Malaysia⠀⇛


                       Sellers claim that the energy sticks can reduce
                       anxiety and stress and help users to relax.


                # ⚓ The Straits Times ☛ ‘Energy_stick’_inhalers_could_be
                  ‘gateway’_to_smoking_or_vaping_among_minors:_Malaysian
                  experts⠀⇛


                       The sticks contain substances such as propylene
                       glycol, which are used in vape, and cost as little
                       as 70 cents each.


                # ⚓ The Kent Stater ☛ Public_health_officials_respond_to_the
                  East_Palestine_train_derailment⠀⇛


                       The College of Public Health discussed the response
                       of public health officials to the East Palestine
                       train derailment with Columbiana County’s public
                       health commissioner on Feb. 4. On Feb. 3, 2023, a
                       train derailed in the village of East Palestine,
                       Ohio causing a fire igniting hazardous chemicals.


                # ⚓ Latvia ☛ Survey:_Latvian_residents_generally_trust_young
                  doctors⠀⇛


                       Several young doctors have publicly stated that
                       they often had to hear offensive comments about
                       their age, skills, and competence from patients.
                       However, according to a poll conducted by Norstat
                       in collaboration with LSM, only 3% of the
                       population said they did not trust younger doctors.


          o § Proprietary/Artificial Intelligence (AI)⠀➾


                # ⚓ New York Times ☛ Imran_Khan_Uses_Hey_Hi_(AI)_To_Give
                  Victory_Speech_in_Pakistan [Ed: CG, not "Hey Hi (AI)"]⠀⇛


                       It was not the first time the technology had been
                       used in Pakistan’s notably repressive election
                       season, but this time it got the world’s attention.


                # ⚓ The Straits Times ☛ Imran_Khan’s_‘victory_speech’_from_jail
                  shows_AI’s_peril_and_promise [Ed: This is CG]⠀⇛


                       As official counts showed candidates aligned with
                       his party winning the most seats, it was Khan’s Hey
                       Hi (AI) voice that declared victory.


                # ⚓ Hackaday ☛ Meet_GOODY-2,_The_World’s_Most_Responsible_(And
                  Least_Helpful)_AI⠀⇛


                       AI guardrails and safety features are as important
                       to get right as they are difficult to implement in
                       a way that satisfies everyone. This means safety
                       features tend to err on the side of caution. Side
                       effects include AI models adopting a vaguely
                       obsequious tone, and coming off as overly priggish
                       when they refuse reasonable requests.


                # ⚓ Business Insider ☛ Tech_layoffs_are_hitting_companies_that
                  are_doing_just_fine [Ed: Misleading as the layoffs happen
                  when Microsoft is 111 billion dollars in debt
                  (unprecedented)]⠀⇛


                       Tech workers have had to learn a hard lesson:
                       layoffs can happen at companies that are fine too.


                # ⚓ Microsoft_Encourages_Game_Developers_to_Have_AI_Write_Their
                  Code_in_Dystopian_Super_Bowl_Copilot_Ad [Ed: Microsoft tells
                  people to plagiarise other people's code and use Microsoft to
                  do the plagiarism (the lawsuits come later)]⠀⇛


                # ⚓ Windows Central ☛ Windows_11_will_soon_no_longer_boot_on
                  PCs_that_are_too_old_to_boot_it_anyway_|_Windows_Central⠀⇛


                       PCs with very old CPUs are going to be in for a
                       rough time this fall when the next version of
                       Windows 11 rolls around, as version 24H2 will be
                       the first to no longer boot on CPUs without the
                       POPCNT...


                # ⚓ Games ☛ Toys_for_Bob_closes_physical_studio_location⠀⇛


                       Microsoft's recent layoffs resulted in 86
                       redundancies at game developer Toys for Bob.


                       As reported by the San Francisco Chronicle, per
                       state filings, the studio behind Spyro Reignited
                       Trilogy also saw its physical office closed.


                       Toys for Bob most recently released Crash Bandicoot
                       4 and Crash Team Battle. It also develops Call of
                       Duty Warzone content updates.


                       Microsoft's job cuts reportedly affected 86
                       staffers at Sledgehammer Games as well.


                       The San Francisco Chronicle says that the Call of
                       Duty maker's physical office has been closed as its
                       staffers relocate.


                # ⚓ Business Insider ☛ The_layoffs_sweeping_tech_companies_are
                  'contagious'_and_'may_get_worse,'_Jefferies_analyst_predicts
                  [Ed: See below. But they shut down entire studios, where zero
                  overlap existed, so basic fact-checking shows he's lying
                  through his teeth]⠀⇛


                       Microsoft Gaming CEO Phil Spencer said that the
                       layoffs were part of a greater "execution plan" to
                       reduce overlap within the company, CNBC reported.


                # ⚓ The Verge ☛ The_rise_of_obituary_spam⠀⇛


                       Google has long struggled to contain obituary spam
                       — for years, low-effort SEO-bait websites have
                       simmered in the background and popped to the top of
                       search results after an individual dies. The sites
                       then aggressively monetize the content by loading
                       up pages with intrusive ads and profit when
                       searchers click on results. Now, the widespread
                       availability of generative AI tools appears to be
                       accelerating the deluge of low-quality fake
                       obituaries.


                # ⚓ The Verge ☛ AI_at_Work⠀⇛


                       AI, once an ambiguous science fiction trope, has
                       become an ambiguous business buzzword, as every
                       technology product races to implement what Silicon
                       Valley thinks is the greatest innovation since the
                       [Internet]. But lost in the conversation are
                       stories about the people building it and using it.
                       If large language models and automated systems
                       will, indeed, upend labor and capital, what does it
                       actually look like in practice? In this package,
                       we’ll explore the ways AI functions today: how
                       people are using it, where it fails and where it
                       succeeds, and what it actually means when we say
                       “artificial intelligence.”


                # ⚓ Tom's Hardware ☛ Wi-Fi_jamming_to_knock_out_cameras
                  suspected_in_nine_Minnesota_burglaries_--_smart_security
                  systems_vulnerable_as_tech_becomes_cheaper_and_easier_to
                  acquire⠀⇛


                       Edina police suspect that nine burglaries in the
                       last six months have been undertaken with Wi-Fi
                       jammer(s) deployed to ensure incriminating video
                       evidence wasn’t available to investigators. The
                       modus operandi of the thief or thieves is thought
                       to be something like this: [...]


                # ⚓ Silicon Angle ☛ Crowd_in_San_Francisco_destroys_driverless
                  Waymo_car_by_setting_it_ablaze⠀⇛


                       The attack comes during a time when driverless car
                       companies are struggling to get their vehicles on
                       the road amid criticism of their capabilities and
                       safety. As recently as October, a robotaxi operated
                       by Waymo rival Cruise LLC dragged a pedestrian 20
                       feet down a street in San Francisco. That led the
                       California Department of Motor Vehicles and
                       California’s Public Utilities Commission to suspend
                       the company’s permits to test its vehicles.


                # ⚓ Futurism ☛ Furious_Crowd_Destroys_Robotaxi,_Sets_It_on
                  Fire⠀⇛


                       As several videos and reports indicate, the
                       robotaxis' propensity for glitching out and either
                       stopping in the middle of the street — sometimes en
                       masse — or driving where they're not supposed to
                       make them annoying and dangerous. Last year, one of
                       Waymo's self-driving lifts ran over someone's dog,
                       and another found itself in the middle of an active
                       fire scene.


                       Things at Cruise are even worse, and with
                       government reports indicating that the company's
                       robotaxis have hit an untold number of people, its
                       parent company is now slashing its investment in
                       the still-immature tech.


                       With such incidents and accidents piling up, many
                       in SF have had enough. At the end of 2023, in fact,
                       the city sued a state commission that allowed
                       Cruise and Waymo to operate around the clock
                       without safety drivers.


                # ⚓ University of Michigan ☛ It_Happened_at_Michigan_—_‘I
                  really_disliked_writing_papers’⠀⇛


                       “My brother wouldn’t take no for an answer,” Thomas
                       Knoll told the College of Engineering in 2016. “And
                       I really disliked writing papers, so I
                       procrastinated by writing this computer program.’”


                       He never looked back. He developed a bundle of
                       photo editing tools (“it was actually very
                       addictive”) and called it Display, then Photoshop.
                       Working with his brother, Knoll sold the software
                       to Adobe, which went on the market in 1990. Five
                       years later, Adobe bought the rights to Photoshop,
                       paying the Knoll brothers $34.5 million.


                # ⚓ Matt Birchler ☛ For_the_life_of_me_I_can’t_find_a_GPT_I
                  find_useful_(besides_my_own)⠀⇛


                       I’ve had the exact same experience. I fully
                       expected that the GPT store would be full of cool
                       tools that I would download and find interesting
                       uses for instead I’ve installed precisely zero of
                       them because none of them seem to solve things that
                       I wanted to do with ChatGPT.


          o § Security⠀➾


                # § Privacy/Surveillance⠀➾


                      # ⚓ YLE ☛ Parliament_suspends_employee_amid_NBI_probe_of
                        suspected_data_protection_breach⠀⇛


                             The data of more than 1,000 people may have
                             been affected by the suspected crimes,
                             according to the National Bureau of
                             Investigation.


                      # ⚓ The Register UK ☛ FCC_publishes_final_version_of_new
                        breach_report_rules⠀⇛


                             After releasing a proposed rule in early
                             January and giving the industry 30 days to
                             respond, the FCC's final rule was published
                             today. It solidifies what the agency proposed
                             a little more than a month ago, and what was
                             teased in early 2022 when FCC chairwoman
                             Jessica Rosenworcel drafted initial changes
                             to the commission's 16-year old security
                             "breach" reporting duties.


                             Along with requiring that attacks are
                             reported to the FCC within seven days of a
                             telco discovering them, the same deadline now
                             exists to report any data leaks to the FBI
                             and US Secret Service as well. As the FCC
                             planned, the new rule also eliminates the
                             mandatory seven-day waiting period for
                             reporting break-ins to consumers.


                      # ⚓ Bitdefender ☛ “Smart”_helmet_flaw_exposes_location
                        tracking_and_privacy_risks⠀⇛


                             Which is why Livall, a popular manufacturer
                             of ski and bike helmets, has presumably
                             developed a "smart" line of products with
                             "walkie-talkie" functionality for groups to
                             stay in touch and track each other's
                             location.


                             Unfortunately, according to security
                             researchers, Livall's implementation of the
                             "smart" technology was nothing less than
                             foolish.


                      # ⚓ 404 Media ☛ Woman_Sues_Sex_Toy_Retailer_Adam_and_Eve,
                        Claims_It_Shared_Data_About_Her_Dildos⠀⇛


                             A woman just brought a class action lawsuit
                             against one of the biggest online retailers
                             for sex toys, Adam and Eve, claiming that the
                             site gave Google information about her
                             searches for 8-inch dildos and strap-on
                             harnesses.


                      # ⚓ EDRI ☛ The_sledgehammer_approach_of_age_verification
                        tools_won't_make_the_[Internet]_safer_-_European
                        Digital_Rights_(EDRi)⠀⇛


                             Do you like scrolling through Instagram reels
                             or watching vlogs on YouTube? Soon enough,
                             you may have to give your personal ID details
                             to the likes of Mark Zuckerberg to keep doing
                             so.


                             [...]


                             The proposed technological “solutions” cannot
                             resolve what are actually much more complex
                             societal issues.


                             However, policymakers worldwide are failing
                             to acknowledge the threat of surveillance and
                             the risk to everyone’s privacy online posed
                             by the use of these systems.


                             Contrary to what the Irish regulator says,
                             experts have shown that tools like age
                             verification can bring more harm to the very
                             children that the code aims to protect.


                      # ⚓ India Times ☛ Digi_Yatra:_Surveillance_or_security?
                        Digi_Yatra_app_divides_opinion_on_facial_scanning⠀⇛


                             Social media has been flooded with complaints
                             of how people are being coerced into using
                             the Digi Yatra app, which uses facial
                             scanning biometrics. Is it really risky? And
                             what do the stakeholders have to say about
                             it?


                             Akshay Gupta recently posted on social media
                             platform X (previously Twitter) that he was
                             denied entry at the Varanasi airport because
                             he “did not follow the Digi Yatra lane”.


                      # ⚓ EFF ☛ Voting_Against_the_Surveillance_State_|
                        EFFector_36.2⠀⇛


                             You can read the full newsletter here, or
                             subscribe to get the next issue in your inbox
                             automatically! You can also listen to the
                             audio version of the newsletter on the
                             Internet Archive, or by clicking the button
                             below: [...]


          o § Defence/Aggression⠀➾


                # ⚓ Tom's Hardware ☛ China's_Loongson_CPU_seems_to_have_IPC
                  equivalent_to_Zen_4_and_Raptor_Lake_--_but_slow_speeds_and
                  limited_core_count_keeps_3A6000_well_behind_modern
                  competition⠀⇛


                       A review shows the China-made 3A6000 coming close
                       behind Zen 4 and Raptor Lake in an IPC comparison,
                       despite poor overall performance.


                # ⚓ Tom's Hardware ☛ Taiwan_accuses_China_of_'cheating'_and
                  'stealing'_chipmaking_technologies⠀⇛


                       Taiwan accuses China of unfair behavior with
                       obtaining advanced technology, China denies any
                       wrongdoing.


                # ⚓ RFA ☛ Uyghur_businessman_returned_to_China_by_Iran_serving
                  15-year_sentence⠀⇛


                       He was jailed in 2018 for having traveled abroad.


                # ⚓ RFA ☛ Relatives_of_China’s_political_prisoners_spend
                  festive_season_apart⠀⇛


                       Relatives suffer most from lack of news, yet
                       distract themselves from pain and keep speaking out
                       for loved ones.


                # ⚓ The Atlantic ☛ Trump’s_America_Will_Lose_the_Climate_Race⠀⇛


                       A second Trump presidency is the open question
                       looming over climate science. Given that global
                       warming is still yet to be reined in, how damaging
                       could four years of Trump be to our collective
                       climate outcome? The answer may be both less
                       fatalistic and more complex than that a president
                       wedded to fossil fuels will condemn the world to
                       significantly worse warming. The short of it,
                       according to two distinguished climate scientists I
                       spoke with, is this: Trump’s four years would
                       surely be damaging, but wouldn’t doom the planet. A
                       public reckoning is coming whether he wins or not,
                       and Trump’s hostile posture on climate could sap
                       U.S. ambitions in a future where geopolitical power
                       is likely to align with a country’s capacity to
                       power itself.


                # ⚓ US News And World Report ☛ Congo_Protesters_Burn_US_and
                  Belgian_Flags,_Target_Western_Embassies⠀⇛


                       Decades of conflicts in eastern Congo between
                       myriad rival armed groups over land and resources
                       and brutal attacks on civilians have killed
                       hundreds of thousands of people and displaced more
                       than 7 million.


                       Congo is the world's top supplier of cobalt and
                       Africa's top copper producer.


                # ⚓ The Register UK ☛ Ukraine_claims_Russian_military_is_using
                  Starlink⠀⇛


                       However, despite denials from both Musk and
                       Starlink that Russia could log into the Starlink
                       store and pick up a dozen terminals, reports
                       continue to surface of the technology being used by
                       Russian forces.


                # ⚓ The Age AU ☛ West_Australian_WWII_pilot_dies_aged_101⠀⇛


                       Even in his last year, Arrowsmith was still driving
                       the same Holden he had owned for 54 years.


                       The WWII pilot flew 35 missions, where the survival
                       rate was less than one in 10.


                # ⚓ NL Times ☛ Dutch_worried_about_cyberattacks,_war_close_to
                  home;_Less_about_further-away_threats⠀⇛


                       Foreign influence on immigration communities in the
                       Netherlands also was considered a serious threat,
                       ranking second with 7.30 points, followed
                       immediately by the occurrence of a terrorist attack
                       by an Islamic group. That scored 7.29 points.


                # ⚓ CS Monitor ☛ President_Biden,_British_Olympians_turn_to
                  TikTok_for_youth_following⠀⇛


                       By night on Feb. 11, the Biden-Harris HQ TikTok
                       account had gained 10,900 followers.


                # ⚓ [Old] The Guardian UK ☛ TikTok_is_part_of_China’s_cognitive
                  warfare_campaign⠀⇛


                       Translated Chinese military reports suggest that
                       warfare is shifting from destroying bodies to
                       paralyzing and controlling the opponent’s mind.
                       Making the Biden administration’s call for TikTok’s
                       Chinese owners to sell their stakes in the app or
                       face a US ban just the start of a protracted Whac-
                       A-Mole game in a broader strategy to combat
                       cognitive warfare – with the human mind as the
                       battlefield.


                       While a TikTok ban may take out the first and
                       fattest mole, it fails to contend with the wider
                       shift to cognitive warfare as the sixth domain of
                       military operations under way, which includes
                       China’s influence campaigns on TikTok, a mass
                       collection of personal and biometric data from
                       American citizens and their race to develop weapons
                       that could one day directly assault or disable
                       human minds. We ignore this broader context at our
                       peril.


                # ⚓ Atlantic Council ☛ How_the_United_States_can_counter_malign
                  Chinese_and_Russian_influence_in_the_Western_Hemisphere ⠀⇛


                       As strategic competition with China and Russia
                       continues to intensify, the United States and its
                       allies need a strategy for countering the malign
                       influence of authoritarian rivals in the Western
                       Hemisphere. [...]


                       In addition to Chinese and Russian malign
                       influence, however, the region also presents many
                       opportunities for the United States to cultivate
                       fruitful partnerships in the western hemisphere
                       built on shared values. Outside of Europe and North
                       America, the western hemisphere has boasted the
                       highest proportion of democratically elected
                       governments for the past three decades. Most of the
                       population of the region lives in a democracy, and
                       support for democracy remains high. There is a
                       window of opportunity for a renewal of regional
                       commitments to democracy and reform that the United
                       States can—and should—capitalize on to reorient its
                       relationship with the region.


                # ⚓ Quartz ☛ Russia_war_economy_is_like_the_Soviet_Union,_IMF
                  director_says⠀⇛


                       That’s the comparison Kristalina Georgieva,
                       managing director of the International Monetary
                       Fund (IMF), made in an interview with CNBC today on
                       the sidelines of the United Arab Emirates-hosted
                       World Governments Summit. The IMF had previously
                       said that Russia was spending so much money on its
                       war effort that it was making up for the strangling
                       effects of international sanctions.


                # ⚓ New Statesman ☛ Joe_Biden_can_learn_from_Europe's
                  mishandled_migrant_crisis⠀⇛


                       The numerical comparison was way off: just over one
                       million people arrived in Europe in 2015 at the
                       peak of the so-called refugee crisis. There were
                       about 2.5 million attempted irregular crossings
                       into the United States in 2023. But when it comes
                       to the potential political impact of unregulated
                       migration, the parallels are impossible to ignore.


                       European politics have been upended by the
                       mismanagement of the crisis nearly a decade ago,
                       which has put far-right parties in the once
                       unthinkable positions of winning elections and
                       leading governments in countries from Italy to the
                       Netherlands.


                # ⚓ The Nation ☛ Clarence_Thomas_Broke_the_Law._Why_Is_He_Not
                  Being_Prosecuted?⠀⇛


                       The debate about whether the justices were or
                       should be bound by any ethics rules drew attention
                       away from the fact that Thomas’s conduct violated
                       federal laws specifically requiring him to disclose
                       the gifts. Thomas was legally obliged to disclose
                       the gifts as well as the donors and should be
                       prosecuted for failing to do so.


                # ⚓ The Strategist ☛ The_impact_of_global_food_chokepoint
                  pressures_on_Asia's_food_security⠀⇛


                       In the last few years Asia’s food security has
                       suffered a series of crises induced by conflict,
                       climate change and the Covid-19 pandemic, causing
                       great disruptions to food supply systems and
                       increasing the number of people experiencing food
                       insecurity. Now, pressure at four global ‘food
                       chokepoints’—in the Red Sea and the Suez Canal due
                       to geopolitical unrest, and the Panama Canal and
                       the Mississippi River due to drought—are
                       threatening Asia’s food security even more.


                # ⚓ New Eastern Europe ☛ North_to_the_future?⠀⇛


                       However, the strategic importance of the Arctic is
                       not only determined by issues related strictly to
                       security. According to 2008 data from the US
                       Geological Survey scientific agency, the Arctic
                       Ocean floor may hold up to 30 per cent of the
                       world’s as of yet undiscovered but technically
                       accessible reserves of natural gas, alongside 13
                       per cent of oil. The continental shelf of the
                       Arctic Ocean is also rich in other mineral
                       resources such as zinc, lead, molybdenum, nickel,
                       platinum and even gold and diamonds.


                       An important aspect indicating the attractiveness
                       of the region is the opportunities related to
                       maritime transport. There are two routes through
                       the Arctic, the Northeast Passage (along the coast
                       of Siberia, the shortest route from Europe to
                       China) and the Northwest Passage (along the coast
                       of Canada). For decades, these routes were of
                       little importance due to the impassable ice cap.
                       However, when the ice cap began to shrink as a
                       result of climate change, new opportunities for the
                       economic exploitation of the region emerged for the
                       Arctic states. The Northwest Passage shortens the
                       route from Europe to East Asia by several thousand
                       kilometres compared to the Panama Canal route, and
                       the Northeast Passage by as much as 9,000
                       kilometres compared to the Suez Canal route.


                # ⚓ El País ☛ Ukraine_War:_The_world_is_facing_the_worst_war
                  scenario_in_half_a_century_|_International_|_EL_PAÍS
                  English⠀⇛


                       For the first time since 1945, Europe is witnessing
                       a major war, in which a great power has invaded
                       another country not only to subjugate it but also
                       to annex territory. Around 30 Western countries are
                       providing aid to Ukraine to help its efforts to
                       repel Russia, which in turn is assisted militarily
                       by Iran, North Korea, and Belarus. But U.S. support
                       for Kyiv is wavering, and this is strengthening
                       Moscow’s position. The situation is so dire that
                       several European political and military leaders
                       have stressed that there is a real risk that the
                       conflict will reach Western Europe. The possibility
                       that Donald Trump — who opposes America’s
                       involvement in NATO — may return to the White House
                       has further heightened tensions.


                # ⚓ AntiWar ☛ Letter_from_ThinkTankLand:_Foreign_Influence_in
                  American_Politics⠀⇛


                       The odious ritual whereby representatives of
                       foreign governments travel to Washington to tell us
                       our business has become so routine it hardly even
                       registers. And, down the years, hosting such
                       rituals has become a (if not the) primary
                       function of Washington’s think tanks which, also to
                       no one’s surprise, draws millions and millions in
                       funding...


                # ⚓ New York Times ☛ Mayorkas_Says_He’s_Undeterred_by
                  Republicans’_Impeachment_Drive⠀⇛


                       The homeland security secretary called the
                       allegations “baseless” and said he was focused on
                       his work.


                # ⚓ New York Times ☛ Israel_Says_It_Struck_Rafah_as_a_Diversion
                  to_Rescue_Hostages⠀⇛


                       A “wave of attacks” on the Gazan city early Monday
                       enabled soldiers to bring two captives to safety,
                       Israel said. Local news outlets said the airstrikes
                       killed at least a dozen Palestinians.


                # ⚓ France24 ☛ Hamas_says_two_Israeli_hostages_killed_by_air
                  strikes_in_Gaza⠀⇛


                       Israeli air strikes over the past four days in Gaza
                       have killed two hostages and seriously injured
                       eight others, the armed wing of Hamas announced
                       Sunday on its Telegram channel.


                # ⚓ France24 ☛ 🔴Live:_Heavy_strikes_hit_Gazan_city_of_Rafah,
                  two_Israeli_hostages_rescued⠀⇛


                       Israel announced on Monday the rescue of two
                       hostages in the southern Gaza city of Rafah, where
                       the Hamas-run health ministry said "around 100"
                       Palestinians including children were killed in
                       heavy overnight air strikes.


                # ⚓ Meduza ☛ Armenia_says_two_soldiers_killed_in_flare-up_on
                  border_with_Azerbaijan_—_Meduza⠀⇛


                # ⚓ Pro Publica ☛ DOJ_Working_With_Wisconsin_Sheriff_to_Improve
                  Communication_With_Non-English_Speakers⠀⇛


                       The inability of police to communicate with
                       immigrants who don’t speak English has long created
                       problems, sometimes with tragic consequences. Those
                       obstacles can inhibit crime victims from calling
                       law enforcement for help and make it difficult for
                       investigators to solve crimes.


                       But as part of an initiative by the Biden
                       administration, the U.S. Department of Justice is
                       pushing law enforcement agencies to better serve
                       people who don’t speak proficient English.


                # ⚓ Site36 ☛ Sea_rescuers_dismantle_ex-policemen:_Court_hears
                  prosecution_witnesses_in_“Iuventa”_trial_for_the_first_time⠀⇛


                # ⚓ RFA ☛ Torture,_forced_labor_alleged_at_Prince_Group-linked
                  compound⠀⇛


                       Escaped workers were beaten and tased before being
                       dragged back, witnesses recount.


                # ⚓ BIA Net ☛ Şebnem_Korur_Fincancı:_I_will_take_legal_action
                  regarding_the_smear_campaign⠀⇛


                       Şebnem Korur Fincancı, who was targeted in the
                       "Adnan" documentary by 140journos, stated, "Those
                       who target me, but ultimately open the door to a
                       very dangerous situation, include statements that
                       could harm those who have been tortured."


                # ⚓ New York Times ☛ Israeli_Raid_in_Rafah_Rescues_2_Hostages
                  and_Kills_Dozens,_Officials_Say⠀⇛


                       The hostages, who had been held by Hamas, returned
                       to Israel after a military operation that Gazan
                       health officials said killed at least 67
                       Palestinians.


                # ⚓ YLE ☛ Finland_plans_fast-tracking_unfounded_asylum
                  applications⠀⇛


                       The proposed reforms could see some migrants facing
                       significant restrictions on their freedom of
                       movement while their applications are being
                       processed.


                # ⚓ Defence Web ☛ Limpopo_zama_zamas_targeted_by_police_and
                  soldiers⠀⇛


                       Limpopo provincial capital Polokwane and surrounds
                       yielded mining equipment, illicit cigarettes and
                       drugs as well as arrests for offences including
                       assault, extortion and kidnapping during a joint
                       military/police operation.


                # § Russia, Belarus, and War in Ukraine⠀➾


                      # ⚓ Meduza ☛ Russian_authorities_considering_lowering_or
                        abolishing_duty-free_online_purchase_limits_—_Meduza⠀⇛


                      # ⚓ Meduza ☛ Scholar_Chris_Miller_explains_the_challenges
                        (and_pitfalls)_of_Moscow’s_fight_to_import_the_Western
                        microchips_it_needs_for_Russia’s_invasion_force_and
                        economy_—_Meduza⠀⇛


                      # ⚓ Sky News ☛ Ukraine_war_latest:_Russia_is_gaining
                        advantage_in_Ukraine,_Norway_warns_|_World_News_|_Sky
                        News⠀⇛


                             Norway's intelligence service has warned
                             Russian forces are gaining the advantage in
                             Ukraine. Meanwhile, Ukraine has made further
                             claims about Russian forces buying internet
                             terminals from Elon Musk-run company Starlink
                             - something both Russia and Musk have denied.


                      # ⚓ Meduza ☛ 71-year-old_Ukrainian_citizen_charged_with
                        espionage_in_Russia_dies_in_prison_—_Meduza⠀⇛


                      # ⚓ Meduza ☛ Former_Wagner_Group_fighters_visit_Russian
                        school,_give_students_flag_reading_‘It’s_nothing
                        personal_—_we_were_paid’_—_Meduza⠀⇛


                      # ⚓ Meduza ☛ Seventeen-year-old_Ukrainian_basketball
                        player_murdered_in_Germany_—_Meduza⠀⇛


                      # ⚓ Meduza ☛ Shared_objectives,_opposing_reputations_Why
                        is_Ukraine’s_new_top_commander_Oleksandr_Syrskyi_less
                        popular_than_his_predecessor?_—_Meduza⠀⇛


                      # ⚓ Meduza ☛ Governor_of_Russia’s_Kaliningrad_says_German
                        philosopher_Immanuel_Kant_‘directly_tied’_to_war_in
                        Ukraine_—_Meduza⠀⇛


                      # ⚓ RFERL ☛ NATO_Can't_Be_'A_La_Carte,'_Borrell_Says_As
                        Allies_Blast_Trump's_Comments⠀⇛


                             EU foreign policy chief Josep Borrell and
                             other European defense and foreign ministers
                             on February 12 joined a torrent of criticism
                             over former U.S. President Donald Trump's
                             comment downplaying the U.S. commitment to
                             NATO's security umbrella in Europe.


                      # ⚓ France24 ☛ NATO_not_an_alliance_'a_la_carte',_EU
                        foreign_policy_chief_says_of_Trump_comments⠀⇛


                             NATO "cannot be an alliance a la carte," EU
                             foreign policy chief Josep Borrell said
                             Monday after Donald Trump downplayed his
                             commitment to NATO's security umbrella in
                             Europe if he becomes US president again.


                      # ⚓ Marcy Wheeler ☛ Call_and_Response:_Putin_Demanded
                        Greater_Russia_and_Trump_Agreed⠀⇛


                             One day after Putin told Tucker Carlson he
                             invaded Ukraine not because of NATO, but
                             because of his commitment to pursue Greater
                             Russia, Trump promised he'd help Putin pursue
                             Greater Russia.


                      # ⚓ Atlantic Council ☛ Putin’s_history_lecture_reveals
                        his_dreams_of_a_new_Russian_Empire⠀⇛


                             Vladimir Putin turned his hotly anticipated
                             interview with Tucker Carlson into a history
                             lecture that laid bare the dangerous
                             delusions and imperial ambitions driving the
                             invasion of Ukraine, writes Peter Dickinson.


                      # ⚓ RFERL ☛ Anti-Putin_Shaman's_Request_To_Get
                        Transferred_To_Less_Restrictive_Psychiatric_Clinic
                        Rejected_Again⠀⇛


                             A Russian court again refused to transfer to
                             a less restrictive psychiatric clinic a Yakut
                             shaman who became known across the country in
                             2019 for his attempts to march to Moscow to
                             drive President Vladimir Putin out of the
                             Kremlin.


                      # ⚓ Latvia ☛ Ukrainian,_Latvian_folklore_to_intertwine_in
                        chamber_music_concert⠀⇛


                             On February 25, the Ukrainian singer,
                             conductor, and musician Oksana Nikitiuk and
                             Latvian pianist Herta Hansena will offer a
                             Ukrainian and Latvian chamber music program
                             “Sunflower Road” both live and livestreamed,
                             representatives of the Liepāja Concert Hall
                             'Great Amber' said.


                      # ⚓ Latvia ☛ Ukrainian_'flag_attack'_case_to_be
                        reviewed⠀⇛


                             An appeal in Valērijs Lazarevs' case, or the
                             so-called Ukrainian flag attack case has come
                             to Kurzeme Regional Court that the case
                             should be reopened and viewed again, Latvian
                             Television reported on February 12.


                      # ⚓ AntiWar ☛ Zelensky_Replacing_Zaluzhny_Is_Not_Just_the
                        Firing_of_Another_General⠀⇛


                             After months of dangerous drama in Kiev,
                             Ukrainian President Volodymyr Zelensky has
                             finally acted on his promise to fire
                             Ukraine’s top general Valerii Zaluzhny.


                      # ⚓ AntiWar ☛ The_Biden-Schumer_Plan_To_Kill_More
                        Ukrainians⠀⇛


                             President Joe Biden is refusing to fold a
                             losing hand as he bets with Ukrainian lives
                             and U.S. taxpayer money.


                      # ⚓ The Kent Stater ☛ ‘We_won’t_hear_the_bangs’:
                        Ukrainian_city_moves_schools_into_metro_stations⠀⇛


                             CNN —  It was a special day for Elmira
                             Dergousova when Russian tanks rolled across
                             the border into Ukraine: her fifth birthday.
                             A plastic crown perched on her head, she blew
                             the candles out on her “Frozen” cake.


                      # ⚓ NYPost ☛ Speaker_Mike_Johnson_signals_House_won’t
                        take_up_Senate’s_Ukraine-Israel-Taiwan_aid_bill⠀⇛


                             House Speaker Mike Johnson warned Monday that
                             he might not bring the massive foreign aid
                             bill being considered in the Senate up for a
                             vote because it fails to address border
                             security, saying the lower chamber will “work
                             its own will” to tackle the issue.


                      # ⚓ France24 ☛ House_speaker_rejects_Ukraine_aid_package
                        as_senators_grind_through_votes⠀⇛


                             House Speaker Mike Johnson late Monday
                             sharply criticised a $95.3 billion aid
                             package for Ukraine, Israel and other
                             countries, casting serious doubts about the
                             future of the package just as Senate leaders
                             were slowly muscling it ahead in hopes of
                             sending a message that the US remains
                             committed to its allies.


                      # ⚓ France24 ☛ ‘All_for_one’:_France,_Germany,_Poland_to
                        tighten_defence_ties⠀⇛


                             The governments of Poland, France and Germany
                             vowed Monday to make Europe a security and
                             defence power with a greater ability to back
                             Ukraine, as fears grow that former US
                             president Donald Trump might return to the
                             White House and allow Russia to expand its
                             aggression on the continent.


                      # ⚓ France24 ☛ Hospitalised_Pentagon_chief_Austin_cancels
                        trip_to_Brussels_for_NATO,_Ukraine_meetings⠀⇛


                             US Defence Secretary Lloyd Austin cancelled a
                             trip to Brussels for NATO defence talks after
                             being admitted to a military hospital for a
                             second time this year, the Pentagon said on
                             Monday.


                      # ⚓ JURIST ☛ Amnesty_International:_Russia_sentences_33
                        Ukrainian_soldiers_for_war_crimes_after_‘unlawful
                        trials’⠀⇛


                             Amnesty International (AI) reported that
                             Russia sentenced 33 Ukrainian soldiers in the
                             Supreme Court of the Luhansk People’s
                             Republic in Russian-occupied Luhansk on
                             Monday for “alleged war crimes.” Russian
                             authorities captured the soldiers as
                             prisoners of war (POWs). Their sentences
                             range from twenty-seven to twenty-nine years.


                      # ⚓ RFERL ☛ Dnipropetrovsk_Region_Hit_By_Russian_Drone
                        Attack_For_Second_Day_In_A_Row⠀⇛


                             Russia on February 13 launched drone strikes
                             on Ukraine's Dnipropetrovsk region for the
                             second day in a row, targeting energy
                             infrastructure facilities, regional Governor
                             Serhiy Lysak said on Telegram.


                      # ⚓ RFERL ☛ EU_Takes_Significant_Step_Toward_Using
                        Profits_From_Frozen_Russian_Assets_For_Ukraine⠀⇛


                             The European Union has passed a law to set
                             aside profits made on frozen Russian central-
                             bank assets in the first concrete step toward
                             using the money to finance the reconstruction
                             of Ukraine.


                      # ⚓ RFERL ☛ Poland_Investigates_Allegedly_Deliberate
                        Spillage_Of_Ukrainian_Grain_At_Border_Crossing⠀⇛


                             Polish police have opened an investigation
                             into an incident over the weekend in which
                             Polish farmers were accused of stopping three
                             trucks carrying Ukrainian grain at a crossing
                             and dumping the cargo onto the road.


                      # ⚓ RFERL ☛ Russia_Adds_18_British_Citizens_To_Its
                        Sanctions_List⠀⇛


                             Russia's Foreign Ministry said on February 12
                             that it added 18 British citizens, including
                             top defense officials and leading Russia
                             experts, to its sanctions list for
                             "demonizing" Russia and supporting "the
                             regime" of Volodymyr Zelenskiy in Ukraine.


                      # ⚓ RFERL ☛ Ukrainian_Basketball_Player_Fatally_Stabbed
                        In_Germany⠀⇛


                             A 17-year-old Ukrainian basketball player was
                             fatally stabbed after an altercation at a bus
                             stop in Germany, police said on February 12,
                             in a case that has sparked outrage in Kyiv.


                      # ⚓ RFERL ☛ Moldova_Says_Crashed_Drone_Contained
                        Explosives;_Minister_Blasts_Russia_For_'Barbaric
                        Attacks'_On_Ukraine⠀⇛


                             Fragments from a Russian drone that crashed
                             into Moldova contained explosives the
                             country's police said, as Foreign Minister
                             Mihai Popsoi condemned Russia's “barbaric
                             attacks” across the border in Ukraine.


                      # ⚓ The Straits Times ☛ Ukraine's_military_intelligence
                        says_Russia_buying_Starlink_terminals_in_'Arab
                        countries'⠀⇛


                             February 13, 2024 3:22 PM



                             Russian forces are buying Starlink internet
                             terminals in "Arab countries" for use on the
                             battlefield, Ukraine's military intelligence
                             said on Tuesday.


                      # ⚓ CS Monitor ☛ Trump,_Russia,_NATO:_How_GOP_moved_on
                        from_Reagan’s_confident_view⠀⇛


                             In pulling the plug on Ukraine aid,
                             Republicans underscore a shift from Ronald
                             Reagan’s “shining city upon a hill” America
                             to Donald Trump’s vision of a besieged,
                             lights-out America.


                      # ⚓ New York Times ☛ Senate_Pushes_Ukraine_Aid_Bill
                        Toward_Passage_as_G.O.P._Splinters⠀⇛


                             The legislation passed its final hurdle as a
                             coalition of Republican senators, resisting
                             pressure from the right wing and former
                             President Donald J. Trump, joined Democrats
                             to move it toward a final vote.


                      # ⚓ New York Times ☛ Here_Are_the_Republicans_Breaking
                        With_Their_Party_to_Back_Ukraine_Aid⠀⇛


                             Party leaders, national security
                             institutionalists and centrists make up the
                             17 Republicans who joined Democrats in
                             breaking a filibuster against the military
                             aid, defying former President Donald J.
                             Trump.


                      # ⚓ Latvia ☛ Latvian_Radio_examines_attempts_to_catch
                        sanctions_evaders⠀⇛


                             Latvian Radio's Atvērtie Faili (Open Files)
                             investigative show has reported on the
                             efforts of Latvia's customs officers to
                             enforce sanctions against aggressor states
                             Russia and Belarus, both of which border
                             Latvia.


                      # ⚓ Atlantic Council ☛ China_pairs_actions_with_messaging
                        in_Latin_America._The_United_States_should_do_the
                        same.⠀⇛


                             China has coordinated trade, financing, and
                             investment with diplomatic engagement, public
                             diplomacy, and information operations to
                             deepen its influence in Latin America and the
                             Caribbean. Washington should, in turn, pair
                             diplomatic engagement and messaging with
                             greater attention to regional countries’
                             needs.


                      # ⚓ Atlantic Council ☛ Don’t_let_geopolitics_undermine
                        Latin_America’s_hard-won_free_markets⠀⇛


                             The United States is concerned about China’s
                             close economic ties to Latin America and the
                             Caribbean; however, the US response should be
                             careful not to undermine longstanding market
                             norms and popular trade liberalization
                             policies


                      # ⚓ Atlantic Council ☛ China_and_Russia_engage_Latin
                        America_and_the_Caribbean_differently._Both_threaten_US
                        interests.⠀⇛


                             China and Russia are both seeking to deepen
                             their influence in the Western Hemisphere at
                             the expense of the United States, though the
                             means by, and ends for, which they pursue
                             that differ in some cases.


                      # ⚓ Atlantic Council ☛ The_competition_for_influence_in
                        the_Americas_is_now_online⠀⇛


                             China is expanding its footprint in Latin
                             America and the Caribbeans’s emerging
                             technology and critical infrastructure
                             arenas, while Russia is engaging in foreign
                             influence operations via the cyber domain.
                             These challenges require a proactive stance
                             by the United States.


                      # ⚓ Atlantic Council ☛ Beijing’s_influence_on_Latin
                        America’s_energy_mix_is_growing—especially_in
                        renewables⠀⇛


                             Russia and, especially, China are intertwined
                             in Latin America’s energy market, with
                             Chinese ties expanding markedly over the past
                             two decades. The United States and its allies
                             and partners must take quick action to
                             counter this rising influence.


                      # ⚓ JURIST ☛ Russia_court_orders_arrest_of_Meta
                        spokesperson⠀⇛


                             Moscow’s Basmanny District Court ordered the
                             arrest of Meta Platforms spokesperson Andy
                             Stone in absentia Monday for charges relating
                             to terrorism offenses and inciting extremist
                             activities.


                      # ⚓ JURIST ☛ Qatar_releases_8_Indian_navy_veterans_after
                        two_years_of_detention_for_alleged_espionage⠀⇛


                             The Ministry of External Affairs (MEA) of
                             India announced on Monday that the Emir of
                             the State of Qatar decided to release eight
                             Indian Navy veterans working for the Doha-
                             based Dahra Global company, who were detained
                             in Qatar due to their connection in an
                             alleged espionage case in 2022.


                      # ⚓ LRT ☛ NATO’s_largest_exercise_tells_Russia_to_keep
                        its_hands_off_alliance_–_Lithuanian_ambassador⠀⇛


                             NATO is holding its largest exercise since
                             the Cold War. Its aim is to send a message to
                             Russia to keep its hands off NATO territory,
                             Lithuanian Ambassador to NATO Deividas
                             Matulionis has said.


                      # ⚓ RFERL ☛ IIHF_Keeps_Ban_On_Russia,_Belarus_From_Taking
                        Part_In_International_Ice_Hockey_Events⠀⇛


                             The International Ice Hockey Federation
                             (IIHF) has decided Russia and Belarus remain
                             barred from participating in its
                             competitions, meaning neither will be
                             represented at events in the 2024-25
                             championship season.


                      # ⚓ RFERL ☛ Germany's_Siemens_To_Close_Business_In
                        Russia⠀⇛


                             Siemens is closing its business in Russia,
                             according to its final financial report for
                             2023, which declared it impossible to
                             continue working in the country and announced
                             a voluntary liquidation


                      # ⚓ RFERL ☛ Russian_Oligarch's_Seized_Yacht_Costs_$7
                        Million_A_Year_To_Maintain,_Justifying_Sale,_U.S.
                        Says⠀⇛


                             The U.S. government has said it is spending
                             more than $7 million a year to maintain a
                             superyacht it seized from a Russian oligarch
                             in 2022 and urged a judge to let it auction
                             the vessel.


                      # ⚓ RFERL ☛ Russian_Warrant_Issued_For_Facebook_
                        (Farcebook)_Parent_Company_Spokesman⠀⇛


                             A Moscow court on February 12 issued an
                             arrest warrant for the spokesman for
                             Facebook's parent company, Meta, accusing him
                             of promoting terrorism.


                      # ⚓ RFERL ☛ Russian_Media_Holding's_Executive_Gets_More
                        Than_Seven_Years_In_Prison_On_Extortion_Charge⠀⇛


                             A Moscow court on February 12 sentenced
                             Kirill Sukhanov, the commercial director of
                             the Ostorozhno Media media holding to 7 1/
                             2 years in prison on an extortion charge.


                      # ⚓ The Straits Times ☛ Russia_warns_the_West:_we_will_be
                        very_tough_if_you_'steal'_our_assets⠀⇛


                             Russia warned the West on Tuesday that Moscow
                             would be very tough if the United States and
                             European Union seized hundreds of billions of
                             dollars worth of Russian assets.


                      # ⚓ New York Times ☛ Trump_Steps_Up,_Helping_Biden_Just
                        When_the_President_Needs_Him⠀⇛


                             Donald J. Trump’s stunning statement
                             supporting a Russian attack against
                             “delinquent” NATO allies takes attention away
                             from unwelcome questions about the
                             president’s age and provides the Biden camp a
                             useful contrast.


                      # ⚓ LRT ☛ Lithuanian_court_sentences_Iraqi_migrant
                        smuggler_to_prison⠀⇛


                             An Iraqi national who organised the smuggling
                             of migrants across the Lithuanian-Belarusian
                             border with accomplices was sentenced to
                             imprisonment by the Vilnius Regional Court.


                      # ⚓ RFERL ☛ Another_Self-Exiled_Politician's_Apartment_Is
                        Put_Up_For_Sale_By_Belarus⠀⇛


                             Minsk authorities have put on auction a two-
                             bedroom apartment in the Belarusian capital
                             belonging to self-exiled opposition
                             politician Valer Tsapkala, whose candidacy
                             election officials refused to register for a
                             presidential poll in 2020.


          o § Transparency/Investigative Reporting⠀➾


                # ⚓ Gizmodo ☛ Elon_Musk_Bought_Twitter_to_Settle_His_Jet-
                  Tracking_Beef,_New_Book_Claims⠀⇛


                       “Musk had also unsuccessfully petitioned Agrawal
                       [CEO of Twitter at the time] to remove a Twitter
                       account that was tracking his private plane,” says
                       an excerpt from Battle for the Bird, a new book on
                       Musk’s takeover, published by Bloomberg on
                       Thursday. “The billionaire started buying Twitter
                       shares shortly after Agrawal denied his request.”


                # ⚓ Hong Kong Free Press ☛ Hong_Kong's_new_security_law_must
                  protect_whistleblowers⠀⇛


                       Authorities identify five types of national
                       security crime that are sometimes overly broad and
                       err on the side of security in a trade-off with
                       human rights. Because the proposals are embedded in
                       the central authorities’ all-encompassing notion of
                       national security, we should take note of mainland
                       China’s national security policy and practice as we
                       consider the government’s proposals. One proposed
                       offence, the theft of state secrets, brings the
                       issues into sharp relief.


          o § Environment⠀➾


                # ⚓ Omicron Limited ☛ Permaculture_showed_us_how_to_farm_the
                  land_more_gently._Can_we_do_the_same_as_we_farm_the_sea?⠀⇛


                       But the booming "blue economy" is no panacea. Fish
                       farms can pollute the water. Mangroves are often
                       felled to make way for prawn farms. The solutions
                       of today could turn out to be problems of the
                       future. We cannot simply shift from one form of
                       environmental exploitation to another.


                       There is an alternative: permaculture. This
                       approach has proven itself on land as a way to
                       blend farming with healthy ecosystems. What if it
                       could do the same on water?


                # ⚓ CBC ☛ Swordfish_are_moving_north_in_Canadian_waters⠀⇛


                       Swordfish follow the Gulf Stream up to Canada and
                       feed on squid and other fish in the more productive
                       cold water immediately adjacent to the warm Gulf
                       Stream.


                       Gillespie and fellow Fisheries and Oceans scientist
                       Alex Hanke want to know if the change in their
                       distribution is linked to changes in the
                       temperature gradient or shifts in the Gulf Stream's
                       movement.


                # ⚓ DeSmog ☛ Q&A:_‘Saving_Ourselves:_From_Climate_Shocks_to
                  Climate_Action’⠀⇛


                       What will it take for the world to finally rally
                       around rapid, sustained climate action? 


                       Professor Dana R. Fisher answers this critical
                       question in her new book, Saving Ourselves: Climate
                       Shocks to Climate Action. 


                # § Energy/Transportation⠀➾


                      # ⚓ YLE ☛ Controversial_Chinese-Finnish_battery_plant_in
                        Hamina_gets_environmental_permit⠀⇛


                             The CNGR Finland bid drew hundreds of
                             concerned responses last summer. According to
                             the decision, the company must comply with
                             emission restrictions and pay an annual
                             fishery fee.


                      # ⚓ Tech Central (South Africa) ☛ Load_shedding_crisis:
                        government_'should_be_ashamed'⠀⇛


                             Roche said the Sona speech was overly
                             ambitious in practically announcing an end to
                             load shedding: “We are currently in a power
                             crisis and moved to stage-4 (and then stage-
                             6) load shedding shortly after Sona,” he
                             said. “At stage 4, we are around 4GW, or 20%
                             short, of the power we need, so promises of
                             an end to load shedding are simply wishful
                             thinking.


                             “South Africa needs several gigawatts of
                             additional power urgently. We must start
                             transitioning to green power but at the same
                             time, we must address the power shortage and
                             get the baseload power infrastructure stable.
                             Injecting green power into the grid at
                             utility scale and at industrial and
                             manufacturing facilities will help to kill
                             two birds with one stone.


                      # ⚓ Tech Central (South Africa) ☛ Bitcoin_nears_$50_000⠀⇛


                             Nine new spot bitcoin funds began trading in
                             the US on 11 January and have attracted more
                             than $9-billion of investor inflows so far.
                             Two of the offerings, from BlackRock and
                             Fidelity Investments, rank as the most
                             successful ETFs launched based on assets
                             garnered after a month on the market,
                             Bloomberg Intelligence analysts Eric
                             Balchunas and James Seyffart wrote in a note.


                      # ⚓ Quartz ☛ Bitcoin_price_hits_$50,000_after_more_than
                        doubling⠀⇛


                             The biggest driver in the late surge of
                             interest is the US government allowing the
                             proliferation of new exchange-traded funds
                             (ETFs). Though some investors used the
                             opportunity to move their money around to
                             save on fees, sector-wide inflows are now
                             driving bitcoin prices more than twice as
                             high as they had been a year ago.


                      # ⚓ Interesting Engineering ☛ Wind_firm_joins_shipowner
                        to_slash_Airbus_emissions_by_50%⠀⇛


                             In a landmark deal for sustainable shipping,
                             Louis Dreyfus Armateurs (LDA), a leading
                             French shipowner, and Norsepower, a Finnish
                             wind propulsion technology company, have
                             announced a partnership to equip a new fleet
                             of RoRo vessels with Norsepower's innovative
                             Rotor Sails.


                      # ⚓ YLE ☛ Consumer_Ombudsman_raps_Finnair_over_'unclear'
                        environmental_ad_claims⠀⇛


                             The greenwashing claim is related to the
                             national airline's claims about its use of
                             renewable fuel, which only amounted to about
                             0.2% of its consumption.


                # § Wildlife/Nature⠀➾


                      # ⚓ The Revelator ☛ Species_Spotlight:_The_Critically
                        Endangered_Sumatran_Tiger_—_Small_But_Mighty⠀⇛


                      # ⚓ Science Alert ☛ One_of_The_World's_Most_Mysterious
                        Whales_Shows_Signs_of_Holding_Traditions⠀⇛


                             They're like soggy people.


                      # ⚓ Science Alert ☛ It's_Confirmed._A_Major_Atlantic
                        Ocean_Current_Is_Verging_on_Collapse.⠀⇛


                             Closer than we think.


                # § Overpopulation⠀➾


                      # ⚓ New York Times ☛ The_Doomsday_Clock_Keeps_Ticking⠀⇛


                             Are humans the only beings in the universe
                             confronting global self-destruction? Or just
                             the last ones standing?


          o § Finance⠀➾


                # ⚓ JURIST ☛ Slovakia_parliament_approves_criminal_law_reform
                  amid_public_protests_and_EU_concerns⠀⇛


                       The Slovak parliament approved reforms calling for
                       the eradication of a special prosecution branch
                       dealing with high-level crimes in the country, as
                       well as the lowering of punishments for financial
                       crimes.


                # ⚓ Democracy Now ☛ Race,_Gender,_Class:_Bishop_Barber,
                  Economist_Michael_Zweig_on_Poor_&_Low-Wage_Voters_in_2024
                  Election⠀⇛


                       As the 2024 election heats up, the Poor People’s
                       Campaign has launched a 40-week effort aimed at
                       mobilizing the voting power of some 15 million poor
                       and low-wage voters across the United States ahead
                       of the November election. The campaign’s first
                       major coordinated actions are set to occur outside
                       30 statehouses on March 2, just days before Super
                       Tuesday. “Statehouses are where the political
                       insurrections are taking place,” says Bishop
                       William Barber, co-chair of the Poor People’s
                       Campaign. The “enormous undertaking” is in response
                       to “an enormous economic and moral problem” of
                       inequality in the United States, he notes, and poor
                       and low-wage workers have the voting power to
                       affect the 2024 elections in every single state in
                       the country. We also speak with economist Michael
                       Zweig, who is a member of the New York State
                       Coordinating Committee of the Poor People’s
                       Campaign. His new book on inequality is Class,
                       Race, and Gender: Challenging the Injuries and
                       Divisions of Capitalism.


                # ⚓ BBC ☛ The_Body_Shop:_What_went_wrong_for_the_trailblazing
                  chain?_-_BBC_News⠀⇛


                       As the UK business is expected to go into
                       administration, we look at what went wrong.


                # ⚓ India Times ☛ US_judge_orders_Elon_Musk_to_testify_in_SEC's
                  Twitter_probe⠀⇛


                       The SEC sued Musk in October to compel the Tesla
                       and SpaceX CEO to testify as part of an
                       investigation into his 2022 purchase of Twitter,
                       the social media giant that he subsequently renamed
                       X. Musk refused to attend an interview in September
                       that was part of the probe, the SEC said.


                # ⚓ El País ☛ 25_years_of_the_euro⠀⇛


                       The euro was conceived in Madrid in December 1995,
                       as a way to put an end to the crisis of the
                       exchange rate mechanism of the European Monetary
                       System (EMS) that had begun in September 1992 with
                       the pound sterling crisis. And it had a long
                       gestation, until four years later when, on January
                       1, 1999, the currency parities were irrevocably
                       fixed — those with enough age and memory will
                       remember that the conversion of the peseta to euros
                       was 166,386 pesetas = 1 euro — and the ECB took
                       control of monetary policy. The birth of the euro
                       lasted 24 months — a transitional period during
                       which only the peseta circulated but prices were
                       announced in both pesetas and euros — until January
                       1, 2022, when euro banknotes and coins were put
                       into circulation. The peseta stopped being legal
                       tender on February 28, 2002, although the exchange
                       of pesetas for euros could be carried out until
                       June 30, 2021.


                # ⚓ Latvia ☛ 'Instant'_bank_payments_to_become_an_EU-wide
                  reality⠀⇛


                       Most people will have encountered a situation in
                       which making a bank transfer from one bank account
                       to another has seen the payment delayed for several
                       days, with the funds apparently suspended in the
                       ether before completion.


          o § AstroTurf/Lobbying/Politics⠀➾


                # ⚓ The Strategist ☛ Prabowo’s_foreign_policy_and_what_it_may
                  mean_for_Australia⠀⇛


                       On 14 February, over 200 million Indonesians will
                       vote in the world’s largest direct presidential
                       elections.


                # ⚓ Tech Central (South Africa) ☛ Cisco_to_cut_'thousands_of
                  jobs'⠀⇛


                       The company is still deciding on the total number
                       of employees to be affected by the layoffs, one
                       person said. An announcement could come as early as
                       next week, as the company prepares for its earnings
                       call on 14 February.


                # ⚓ Reuters ☛ Exclusive:_Cisco_to_cut_thousands_of_jobs_as_it
                  seeks_to_focus_on_high_growth_areas_|_Reuters⠀⇛


                       The company has in recent years grappled with
                       supply chain issues and a post-pandemic slowdown in
                       demand, which has hastened its push into software
                       offerings like cybersecurity.


                # ⚓ India Today ☛ Cisco_laying_off_thousands_of_employees
                  starting_this_week,_will_focus_on_growth_areas_next_-_India
                  Today⠀⇛


                       Cisco has not yet disclosed the exact number of
                       employees who will be affected by these layoffs.
                       However, a source close to the publication revealed
                       that the company is still deciding on the numbers
                       and the final announcement can be expected as early
                       as this week, as the company prepares for its
                       earnings call on February 14.


                # ⚓ San Fancisco ☛ Bay_Area_tech_giant_Cisco_to_lay_off
                  thousands⠀⇛


                       As of the fiscal year 2023, Cisco’s workforce stood
                       at 84,900.


                # ⚓ Tech Central (South Africa) ☛ South_Africa_plans_to_offer
                  'digital_nomad'_visas⠀⇛


                       If the legislation comes to pass, South Africa will
                       join Namibia, Cape Verde, Mauritius and the
                       Seychelles as the fifth country in Africa to offer
                       digital nomad visas. Highly skilled workers in the
                       IT sector, such as programmers and software
                       architects, are typically the target of such visas.


                       For the critical skills visa, the draft regulations
                       propose a points system that takes into account the
                       applicant’s age, qualifications, language skills,
                       work experience and whether they have an offer of
                       employment in a local company or not. This practice
                       is similar to other jurisdictions worldwide. High-
                       earning workers in the IT sector are a particular
                       target.


                # ⚓ The Strategist ☛ How_PRC_companies_influence_diplomatic
                  switches_from_Taiwan_in_the_Pacific⠀⇛


                       On 14 January, Nauru re-established diplomatic
                       relations with the People’s Republic of China (PRC)
                       ending nearly 20 years of links with Taiwan.


                # ⚓ Tom's Hardware ☛ Taiwan_accuses_China_of_'cheating'_and
                  'stealing'_chipmaking_technologies⠀⇛


                       The de-facto ambassador of Taiwan in the U.S.
                       accused Chinese chipmakers of circumventing
                       standard practices of innovation and instead
                       resorting to dishonest methods to advance their
                       capabilities. Despite significant investments, Yui
                       remains skeptical of China's ability to produce
                       leading-edge processors that could compete on the
                       global stage, especially in the face of concerted
                       efforts by the U.S. to curb Beijing's technological
                       ambitions through export restrictions and other
                       measures.


                # ⚓ Scoop News Group ☛ CISA_releases_2024_priorities_for_the
                  Joint_Cyber_Defense_Collaborative⠀⇛


                       The Cybersecurity and Infrastructure Security
                       Agency on Monday released the 2024 priorities for
                       the Joint Cyber Defense Collaborative, an
                       operational-focused government and private
                       collaborative which has faced recent criticism.


                       The announcement of three broad priorities will
                       mark an alignment of “resources and strategic
                       direction.” In the coming year, the JCDC will focus
                       on: defending against advanced persistent threat
                       (APT) operations, raising baseline protections for
                       critical infrastructure owners and operators, and
                       anticipating emerging technology and risks.


                # ⚓ Federal News Network ☛ Defense_Department_dead_serious
                  about_cybersecurity⠀⇛


                       Zero trust cybersecurity is on everyone’s mind
                       these days, who is responsible for an information
                       system. For an update on what is going on at the
                       Defense Department, the Federal Drive with Tom
                       Temin talked with Randy Resnick, Director of the
                       Zero Trust Portfolio Management Office in the DoD’s
                       office of the chief information officer.


                # ⚓ The Register UK ☛ Cisco_sharpens_ax_again_as_results_season
                  swings_round⠀⇛


                       More than 34,000 tech staff who started 2024 in
                       gainful employment are now looking for a new job –
                       and that's before networking titan Cisco reportedly
                       pulls the plug on thousands more to lighten the
                       payroll.


                       The latest job statistics pale in comparison to a
                       year ago, when in January alone almost 90,000 were
                       made redundant by tech businesses coming off a
                       hiring binge during the pandemic and caught out by
                       slowing sales, according to Layoff.fyi.


                # ⚓ The Nation ☛ RFK_Jr._Has_Lost_His_Way⠀⇛


                       It was ghoulish.


                # ⚓ YLE ☛ APN_Podcast:_Alexander_Stubb_wins_a_very_Finnish
                  election⠀⇛


                       Finland woke up on Monday to a new era after NCP
                       candidate Stubb won a cordially-conducted
                       presidential election on Sunday night.


                # ⚓ YLE ☛ Stubb_pledges_to_continue_Niinistö's_foreign_policy
                  line⠀⇛


                       President-elect Alexander Stubb spoke to the
                       domestic and international press on Monday
                       afternoon, after his win in Sunday's surprisingly
                       close runoff election.


                # § Misinformation/Disinformation/Propaganda⠀➾


                      # ⚓ US News And World Report ☛ Trump's_Misleading_Framing
                        of_NATO_Defense_Funding⠀⇛


                             The former president’s comments also are
                             tangentially related to Article 5 of NATO’s
                             founding treaty, which states that an attack
                             on one NATO country is considered an attack
                             on all its allies. That stance is not tied in
                             any way to the 2% defense spending target.


                      # ⚓ Hindustan Times ☛ Explained:_What_did_Trump_say_about
                        NATO_funding_and_what_is_Article_5?_|_World_News_-
                        Hindustan_Times⠀⇛


                             Trump has often accused other NATO members of
                             not paying their dues, giving the impression
                             that the alliance is like a club with
                             membership fees.


                             But NATO operates differently. It has some
                             common funds, to which all members
                             contribute. But the vast bulk of its strength
                             comes from members' own national defence
                             spending - to maintain forces and buy arms
                             that can also be used by NATO.


                      # ⚓ France24 ☛ No,_this_video_doesn’t_show_mosques_being
                        destroyed_in_China⠀⇛


                             X users have been circulating a video in
                             recent days that shows a mosque being
                             bulldozed, claiming that it provides proof
                             that the Chinese government is destroying
                             mosques. The Chinese government is carrying
                             out a “sinicization policy” on mosques,
                             either demolishing them or carrying out
                             architectural modifications to make them look
                             more Chinese, a practice that has been
                             decried by human rights organisations.
                             However, this video was not filmed in China.


                      # ⚓ France24 ☛ France_accuses_Russia_of_disinformation
                        campaign_against_Ukraine's_allies⠀⇛


                             French government officials on Monday accused
                             Russia of operating a long-running online
                             manipulation campaign against Ukraine’s
                             Western backers in the lead up to the second
                             anniversary of Moscow’s military invasion of
                             its neighbour.


                      # ⚓ RFERL ☛ France_Accuses_Russia_Of_Disinformation
                        Campaign_Ahead_Of_Ukraine_Invasion_Anniversary⠀⇛


                             French government officials on February 12
                             accused Russia of operating a long-running
                             online manipulation campaign against
                             Ukraine’s Western backers in the lead-up to
                             the second anniversary of Moscow's military
                             invasion of its neighbor.


                      # ⚓ Latvia ☛ Beware_of_Hey_Hi_(AI)_content_in_pre-
                        election_period,_anti-graft_cops_warn⠀⇛


                             The Corruption Prevention and Combating
                             Bureau (KNAB) issued a statement on February
                             12 warning the public that political
                             organizations, as well as non-party persons,
                             might use artificial intelligence-generated
                             materials during the pre-election campaigning
                             period to, among other things, deliberately
                             disinform potential voters and influence
                             their opinion.


          o § Censorship/Free Speech⠀➾


                # ⚓ Techdirt ☛ Media_Matters’_Very_Strong_Response_To_Elon
                  Musk’s_Very_Dumb_Lawsuit⠀⇛


                       Last fall, we detailed the many, many, many, many
                       problems of Elon Musk’s absolutely bullshit
                       ridiculous lawsuit against Media Matters. Again, if
                       you don’t recall, Media Matters found some examples
                       of neo-Nazi content on ExTwitter appearing next to
                       ads from big name brands. Elon got extra mad about
                       this because it also happened a day after he
                       endorsed an anti-Semitic conspiracy theory trope.
                       Either way, it led to many advertisers pulling
                       their ads.


                # ⚓ Techdirt ☛ Would_You_Trust_A_Cryptocurrency_Whose_Operator
                  Sues_Journalists_For_Reporting_On_Lawsuits_Calling_You_A
                  Scam?⠀⇛


                       In the fall of 2022 an apparent investor in a
                       cryptocurrency called “Bitcoin Latinum” sued the
                       guy behind the currency, Donald Basile. You can see
                       the whole case here. There has been a bunch of back
                       and forth on the docket, but it appears the
                       remaining parties at some point went to binding
                       arbitration.


                # ⚓ Meduza ☛ Russia_adds_Meta_press_secretary_Andy_Stone_to
                  official_list_of_‘extremists_and_terrorists’_—_Meduza⠀⇛


                # ⚓ Meduza ☛ Major_Russian_beauty_retailer_tells_male_employees
                  not_to_wear_obvious_makeup_to_avoid_‘LGBT_propaganda’_charges
                  —_Meduza⠀⇛


                # ⚓ 404 Media ☛ Taliban_Shuts_Down_'queer.af'_Domain,_Breaking
                  Mastodon_Instance⠀⇛


                       When the Taliban retook control of Afghanistan in
                       2021, the fate of these domains and the websites on
                       them became uncertain, and, three years later,
                       another shoe now appears to be dropping. Last
                       month, Erin Shepherd, the administrator of the
                       queer.af Mastodon instance on the Fediverse posted
                       that they have been “in limbo” since the Taliban
                       retook control of the country, and had already
                       planned to shut down in April. The Taliban shut the
                       domain down roughly two months before it was
                       scheduled to renew.


                # ⚓ Variety ☛ Jon_Stewart_Explains_Apple_Exit:_Why_the_Streamer
                  Canceled_The_Problem⠀⇛


                       While an individual with knowledge of the situation
                       said at the time that Stewart and Apple’s split was
                       an amicable one, The New York Times reported that
                       the duo had disagreements over topics that were to
                       be covered in the third season, including A.I. and
                       China. Members of the U.S. House of Representatives
                       later questioned Apple CEO Tim Cook about whether
                       the tech giant’s decision to cancel Stewart’s show
                       was because the host may have been planning an
                       upcoming episode about China.


                # ⚓ Meduza ☛ Yekaterinburg_man_sentenced_to_eight_days_in_jail
                  for_laying_flowers_at_memorial_to_protest_mobilization⠀⇛


                       According to human rights advocates, five people
                       were arrested at the Black Tulip monument on
                       Saturday. In addition to Yakupov, two people were
                       charged with violating protest rules.


                # ⚓ Quartz ☛ Elon_Musk_bought_Twitter_because_of_account
                  tracking_his_private_jet⠀⇛


                       The new book is a detailed investigation into the
                       power struggle at Twitter, now called X, in the
                       last few years. The book seems to confirm that
                       Musk’s personal gripes played a key role in his $44
                       billion acquisition of the social media platform.


                # ⚓ Reason ☛ No_Libel_or_Emotional_Distress_Discovery_for_Being
                  Called_a_"Nazi"⠀⇛


                       From Magistrate Judge Robert Norway's report and
                       recommendation in Frank v. Fine (M.D. Fla. Jan. 5),
                       adopted by Judge Paul Byron on Jan. 19: Plaintiff
                       [Colby Alexander Frank] {a self-proclaimed "white
                       civil rights advocate" and member of the "Goyim
                       Defense League"} here alleges that Defendant [Randy
                       Fine, a Florida legislator] defamed him by
                       publishing...


          o § Freedom of Information / Freedom of the Press⠀➾


                # ⚓ CPJ ☛ CPJ_condemns_Kyrgyzstan’s_order_to_shut_investigative
                  outlet_Kloop⠀⇛


                       “After last month’s mass arrest of journalists
                       linked to anti-corruption outlet Temirov Live, the
                       forced closure of Kloop—one of the most respected
                       media outlets not just in Kyrgyzstan but in the
                       whole of Central Asia—signals Kyrgyz authorities’
                       intent to wipe out an investigative reporting hub
                       that has previously set the country apart from its
                       authoritarian neighbors,” Gulnoza Said, CPJ’s
                       Europe and Central Asia program coordinator, said
                       in New York on Monday. “Authorities in Kyrgyzstan
                       should allow Kloop to remain open, reverse their
                       escalating campaign against the press, and allow
                       independent media to work freely.”


                # ⚓ CPJ ☛ Bangladeshi_journalist_Mohammed_Emran_Hossan_killed
                  in_road_crash_after_reporting_death_threat⠀⇛


                       A jeep hit Hossan’s motorcycle and ran over his
                       body, according to a complaint, reviewed by CPJ,
                       that was filed by the family at Rangunia Model
                       Police Station on the day that Hossan died.


                       No arrests had been made although the police were
                       given the driver’s name, those sources said. A
                       journalist familiar with the case, who spoke to CPJ
                       on condition of anonymity due to fear of reprisal,
                       said the driver went into hiding shortly after the
                       crash.


                # ⚓ The Dissenter ☛ Countdown_To_Day_X:_Assange_Prosecution_Is
                  Politically_Motivated⠀⇛


          o § Civil Rights/Policing⠀➾


                # ⚓ JURIST ☛ Malaysia_federal_court_declares_Kelantan_state
                  Shariah_laws_unconstitutional⠀⇛


                       The Malaysian federal court declared several
                       Kelantan state Sharia laws to be unconstitutional
                       in a judgement on Friday.


                # ⚓ Jacobin Magazine ☛ A_Philly_Sex_Shop_Fired_Its_Workers_When
                  They_Started_a_Union⠀⇛


                       But because of the environment that we worked in
                       and because of regular layoffs, there was a lot of
                       staff turnover. It was a small business, so we were
                       all doing things that went beyond retail or beyond
                       working in a store. I was doing some of the social
                       media; another one of my coworkers was doing part
                       of the educational side of the business, as well as
                       working on the floor.


                # ⚓ Federal News Network ☛ As_you_return_to_the_office,_the
                  office_space_must_evolve⠀⇛


                       “One trend that we’re seeing, and I think is going
                       to remain, is that the work and workspaces need to
                       remain agile and flexible to address the current
                       environment we’re in. And we need to manage that
                       ever-changing environment,” said Chuck Hardy, the
                       chief architect at the General Services
                       Administration, in an interview with Federal News
                       Network. “This makes managing the surge vitally
                       important and properly planning spaces. I think
                       agencies are learning that, but more directly, it’s
                       sending that message that you don’t build space for
                       your busiest time of the year. Instead, you build
                       it for the mean and have solutions in place like
                       federal co-working, like commercial co-working or
                       like telework that effectively and efficiently
                       absorb those surges.”


                # ⚓ Techdirt ☛ Papers_Please,_But_For_Porn_Scheduled_For_A_2025
                  Debut_In_The_UK⠀⇛


                       Stop-start. Push-pull. Yank-tug. That’s the way
                       things have been going in the UK. One would expect
                       better performance from lawmakers with a hard-on
                       for porn.


                # ⚓ RFA ☛ North_Korea_cracks_down_on_homes_converted_into
                  Airbnb-style_lodgings⠀⇛


                       The move targets informal innkeepers and
                       prostitution.


                # ⚓ Hong Kong Free Press ☛ ‘I_go_almost_every_day’:_The_elderly
                  Hong_Kong_democracy_advocates_following_2019_protest_court
                  cases⠀⇛


                       When Poon walks into Hong Kong’s District Court, it
                       feels like home.  Like clockwork, the sexagenarian
                       opens her bag for a security check, fills her empty
                       bottle – no liquids are allowed past the screening
                       – and makes sure her phone is on silent.


          o § Internet Policy/Net Neutrality⠀➾


                # ⚓ APNIC ☛ Unbloating_the_buffers⠀⇛


                       Guest Post: How bad is bufferbloat, really?


                # ⚓ Michael Geist ☛ The_Law_Bytes_Podcast,_Episode_192:_Kate
                  Robertson_on_the_Privacy,_Expression_and_Affordability_Risks
                  in_Bill_C-26⠀⇛


                       Bill_C-26, alternately described as a cyber-
                       security, critical infrastructure or telecom bill,
                       remains largely below the radar screen despite its
                       serious implications for privacy, expression, and
                       affordable network access.


                # ⚓ APNIC ☛ Unbloating_the_buffers⠀⇛


                       Bufferbloat is so common that we don’t even think
                       about it. Of course, video calls drop out and
                       glitch when you download something, duh! The
                       Internet is working hard, it’s only natural that
                       it’s a bit slow to react.


                       It doesn’t have to be this way.


                       Chances are, your connection is faster than 30Mbit
                       up/down. You only need less than 10% of it for a
                       perfectly good Zoom call. If bandwidth is split
                       equally, it should be pretty hard for a home
                       network to not be able to support a video call. Yet
                       in practice, latency-sensitive traffic glitches all
                       the time when the network is busy! People often
                       think it’s the lack of bandwidth, but it’s usually
                       the extra latency caused by bufferbloat.


                # ⚓ CBC ☛ Bell_denied_stay_in_decision_allowing_smaller
                  companies_to_sell_[Internet]_using_its_fibre_networks⠀⇛


                       Bell responded last fall by reducing its network
                       investment plans by $1.1 billion by 2025, including
                       a minimum reduction of $500 million this year, and
                       warns there could be further cost reductions if the
                       company feels it has to stay ahead of regulatory
                       decisions it finds unfavourable.


                # ⚓ Techdirt ☛ Judge_Grants_Preliminary_Injunction_Blocking
                  Ohio’s_Unconstitutional_‘Parental_Consent’_Social_Media_Law⠀⇛


                       Last month we wrote about Netchoice suing Ohio over
                       its “Parental Notification by Social Media Act,” in
                       which I filed a declaration highlighting how
                       problematic the law would be for a site like
                       Techdirt. By the time we’d finished the article
                       about the lawsuit, a federal judge had already
                       granted a temporary injunction, blocking the law
                       from going into effect. The law was incredibly
                       problematic for many reasons, but like some other
                       laws, the whole idea was to make websites get
                       “parental consent” for kids using social media.


                # ⚓ Matthew_Palmer:_Not_all_TLDs_are_Created_Equal⠀⇛


                       In light of the recent cancellation_of_the_queer.af
                       domain_registration_by_the_Taliban, the fragile and
                       difficult nature of country-code top-level domains
                       (ccTLDs) has once again been comprehensively
                       demonstrated. Since many people may not be aware of
                       the risks, I thought I’d give a solid explainer of
                       the whole situation, and explain why you should, in
                       general, not have anything to do with domains which
                       are registered under ccTLDs.


          o § Digital Restrictions (DRM)⠀➾


                # ⚓ Tom's Hardware ☛ The_Canadian_government_wants_to_ban
                  Flipper_Zero-type_hacker_tools_to_combat_car_theft⠀⇛


                       Canada's Minister of Innovation, Science and
                       Industry wants to ban devices such as Flipper Zero,
                       as a means to combat car theft.


      § Monopolies/Monopsonies⠀➾


          o ⚓ India Times ☛ Apple:_How_Apple’s_proposed_changes_could_crumble
            the_freemium_model⠀⇛


                 Apple has also introduced a new fee for developers,
                 called the ‘core technology fee’. Developers will now pay
                 0.50 euros for each first annual install over one million
                 in the past 12 months.


                 These changes are significant because they open up the
                 ‘walled garden’ that Apple has prided itself on, but they
                 also come with a caveat that could effectively kill the
                 ‘freemium’ model that most of these apps are based on.


          o ⚓ Zimbabwe ☛ Apple_showed_its_dictator_ways_with_bad_faith
            compliance_to_EU_law_and_developers_are_fighting_back⠀⇛


                 All that talk of the Apple ecosystem hinges on this.
                 Apparently, if you still want to exercise your right to
                 pick devices you want, limit yourself to one or just two
                 Apple devices. If you collect all, you will struggle to
                 leave Apple’s garden.


          o ⚓ Wired ☛ I_Stopped_Using_Passwords._It's_Great—and_a_Total_Mess⠀⇛


                 Google, Apple, Microsoft, Amazon, GitHub, PayPal, the
                 UK’s National Health Service, OnlyFans, Nintendo, and
                 more than 100 websites have started supporting passkeys.
                 More than 8 billion online accounts can set up passkeys
                 right now, says Andrew Shikiar, the chief executive of
                 the FIDO Alliance, an industry body that has developed
                 the passkey over the past decade. So, I decided to kill
                 my passwords.


                 For the past month, I’ve been converting as many of my
                 accounts as possible—around a dozen for now—to use
                 passkeys and start the move away from the password for
                 good. Spoiler: When passkeys work seamlessly, it’s a
                 glimpse of a more secure future for millions, if not
                 billions, of people, and a reinvention of how we sign in
                 to websites and services. But getting there for every
                 account across the [Internet] is still likely to prove a
                 minefield and take some time.


          o § Patents⠀➾


                # ⚓ Dennis Crouch/Patently-O ☛ Don’t_Judge_a_Range_by_its
                  Cover:_Federal_Circuit_Sides_with_Patentee_on_Written
                  Description_Support⠀⇛


                       In a recent decision, the Federal Circuit held that
                       a claimed range reciting narrower values than those
                       described in the patent monopoly specification can
                       still satisfy the written description requirement
                       under 35 U.S.C. § 112(a). RAI Strategic Holdings,
                       Inc. v. Philip Morris Prods. S.A., No. 22-1862
                       (Fed. Cir. Feb 9, 2024). Reversing a PTAB post-
                       grant review decision, the court ruled that claims
                       reciting a heating element with having a length of
                       75-85% of the disposable aerosol-forming substance
                       had adequate written description support even
                       though the specification only described broader
                       ranges, such as “about 75% to about 125%.” Id.


                # ⚓ Dennis Crouch/Patently-O ☛ March-In_Rights [Ed: Obviously
                  those who respond to it are patent maximalists who follow him
                  in Microsoft's prison.]⠀⇛


                       I have a poll running Microsoft's Surveillance Arm
                       LinkedIn about whether the Federal Government
                       should more aggressively use its march-in rights to
                       ensure public access to federally funded
                       inventions. 


                # ⚓ Scoop News Group ☛ ‘Human_contributions’_are_focus_of
                  inventorship_analysis_in_AI_age,_patent_office_says⠀⇛


                       New guidance from the U.S. Patent and Trademark
                       Office outlining how the agency will analyze
                       inventorship in the age of artificial intelligence
                       stresses the importance of focusing on “human
                       contributions” to innovations.


                       The examination guidance, published for public
                       inspection Monday on the Federal Register, is aimed
                       at providing clarity to agency personnel and
                       stakeholders on how it will analyze inventorship
                       “as AI systems, including generative AI, play a
                       greater role in the innovation process.”


                # ⚓ JUVE ☛ Peterreins_Schley_and_WobbleWorks_serve_PI_at
                  world’s_biggest_toy_trade_fair [Ed: Patent thugs stealing
                  stuff]⠀⇛


                       The Nuremberg-Fürth Regional Court has handed down
                       an ex-parte preliminary injunction against myFirst
                       Tech Asia, after its competitor WobbleWorks accused
                       the company of infringing the latter’s 3D pens
                       (case ID: 19 O 581/24). >


                # ⚓ Dennis Crouch/Patently-O ☛ Joint_Inventorship:_AI-Human
                  Style⠀⇛


                       The U.S. Patent and Trademark Office (USPTO)
                       recently published examination guidance and a
                       request for comments on the treatment of
                       inventorship for inventions created with the
                       assistance of artificial intelligence (AI)
                       systems.  Inventorship Guidance for AI-Assisted
                       Inventions.


                       The key takeaway here is that the USPTO believes
                       that an AI-developed invention is patentable so
                       long as a human satisfies the joint-inventorship
                       standard of “significantly contributing to the
                       invention.” A human who provides a significant
                       contribution may be the sole inventor and original
                       owner, even in situations where the Hey Hi (AI)
                       provided the greater contribution.


                # ⚓ Kluwer Patent Blog ☛ Cladribine_SPC_–_a_Potential_Dilemma
                  for_the_English_Court_of_Appeal?⠀⇛


                       It took longer to arrive than expected but here it
                       is.   The UK Courts have been given an opportunity
                       to depart from the jurisprudence of the CJEU in
                       their interpretation of the SPC Regulation. The
                       opportunity has arisen in the following way.


                # ⚓ Dennis Crouch/Patently-O ☛ Judge_Newman’s_D.C._Lawsuit
                  Against_Fellow_Judges_Largely_Dismissed_on_Jurisdictional
                  Grounds⠀⇛


                       Federal Circuit Judge Pauline Newman has been
                       fighting for her right to judge after charges
                       implicating her fitness for office.  Earlier this
                       month, a committee of federal judges upheld
                       Newman’s one-year suspension from new case
                       assignments for refusing to cooperate with a
                       misconduct investigation.  Newman had separately
                       sued her colleagues in DC District Court, but Judge
                       Cooper has now dismissed most of that lawsuit on
                       jurisdictional grounds. While a few counts remain,
                       the court’s ruling deals a serious blow to Judge
                       Newman’s attempt to challenge the judiciary’s self-
                       policing procedures.  Newman v. Moore, 23-cv-01334
                       (D.D.C., February 12, 2024). Newman v. Moore
                       Decision.


                # ⚓ Dennis Crouch/Patently-O ☛ Playing_From_The_Rough:_Kirkland
                  Signature™_Irons_and_The_Doctrine_of_Equivalents⠀⇛


                       Guest Post by Jordan Duenckel.  Jordan is a third-
                       year law student at the University of Missouri and
                       a registered patent monopoly agent.  He has an
                       extensive background in chemistry and food science.
                       Before law school, he was a greenskeeper at a local
                       golf course. 


                # § Software Patents⠀➾


                      # ⚓ The Register UK ☛ Cloudflare's_crowd-sources_another
                        patent_troll_case_victory⠀⇛


                             Sable Networks, which owns patents originally
                             given to defunct "flow-based router" company
                             Caspian Networks, sued Cloudflare and five
                             other companies in 2021 alleging a whole host
                             of violations of four patents now owned by
                             Sable.


          o § Trademarks⠀➾


                # ⚓ Techdirt ☛ Luxury_Brand_Hermes_Sues_Tiny_Used_Book_Shop_In
                  Turkey_Called_‘Hermes_Sahaf’⠀⇛


                       Usually when I write about trademark disputes, it’s
                       at least the case that if I really squint at an
                       accuser’s claims, or perhaps hit myself in the head
                       with a hammer for several minutes, I can at least
                       see their perspective in a dispute. I may still
                       call the whole thing very stupid, as is my habit,
                       but I can see why the whole thing started.


                # ⚓ TTAB Blog ☛ TTAB_is_Considering_Dropping_Citations_to_USPQ
                  in_favor_of_Westlaw⠀⇛


                       In a recent Board decision, In_re_Pro_Eagle_LLC,
                       Serial No. 97738815 (February 9, 2024), the Board
                       announced in a footnote that it is conducting an
                       "internal Board pilot program exploring the
                       possibility of broadening or altering acceptable
                       forms of legal citations in Board cases." It
                       appears that the Board may decide to drop USPQ
                       citations in the future. The footnote from the Pro
                       Eagle case is quoted below.


                # ⚓ TTAB Blog ☛ TTABlog_Test:_Is_MENSTRUATION_CRUSTACEON_Merely
                  Descriptive_of_Microwavable_Heating_Pads?⠀⇛


                       The USPTO refused to register the proposed mark
                       MENSTRUATION CRUSTACEON for "Microwavable heating
                       pads not for medical purposes," finding the mark to
                       be primarily merely descriptive under Section 2(e)
                       (1). Applicant argued, among other things, that
                       "the rhyming, incongruous qualities of MENSTRUATION
                       CRUSTACEAN" and its "humorous, rhyming cadence" . .
                       . "captures the consumer’s attention and identifies
                       Applicant as the source of the goods." How do you
                       think this came out? In_re_What_Do_You_Meme,_LLC,
                       Serial No. 97406016 (February 8, 2024) [not
                       precedential] (Opinion by Judge Cheryl S. Goodman).


          o § Copyrights⠀➾


                # ⚓ Hong Kong Free Press ☛ ‘Tomorrow_never_knows’:_Hong_Kong
                  indie_collective_seeks_community,_history_for_the_city’s
                  alternative_music_scene⠀⇛


                       Sum Lok-kei sometimes thinks back to a one-day
                       music festival he organised almost eight years ago,
                       when he and long-time friend Jason Cheung played
                       alongside a dozen alternative bands from Hong Kong
                       and China in a marathon performance of hybrid indie
                       sounds.


                # ⚓ Reason ☛ On_Copyright,_Creativity,_and_Compensation⠀⇛


                       What to make of all this? I am not oblivious to the
                       irony of being confronted with this problem after
                       having spent 30 years or so, as a lawyer and law
                       professor, reflecting on and writing about the many
                       mysteries of copyright policy and copyright law in
                       the Internet Age.


                       Here are a few things that strike me as interesting
                       (and possibly important) in this episode.


                # ⚓ Torrent Freak ☛ Google:_Piracy_Shield_Has_Legal_Limits,
                  Anti-Piracy_Chief:_Think_Ethics,_Do_More⠀⇛


                       Italy's Piracy Shield system has been fully-
                       operational for almost two weeks yet usage remains
                       surprisingly low. Meanwhile, responding to reports
                       that pirate streaming apps are available on the
                       Play Store, Google noted that, under law, it is not
                       subject to Piracy Shield blocking orders. In a
                       response that spoke of the need for “autonomous
                       initiatives” inspired by "ethics and self-
                       regulation," the head of telecoms regulator AGCOM
                       disagreed.


                # ⚓ Torrent Freak ☛ The_U.S._Tops_the_Manga_Piracy_Chart,_While
                  Iran_Leads_in_Music_Piracy⠀⇛


                       Piracy continued to rise globally in 2023 across
                       all content categories. The largest relative
                       increase was visible in the music and software
                       categories, which saw double-digit growth. In the
                       publishing category, manga comics dominate with the
                       United States the leading source of traffic.
                       Surprisingly, most music pirates come from Iran
                       today.




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