𝕿𝖊𝖈𝖍𝖗𝖎𝖌𝖍𝖙𝖘 Bulletin for Saturday, July 01, 2023
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Generated Sun 2 Jul 02:40:46 BST 2023
Created by Dr. Roy Schestowitz (𝚛𝚘𝚢 (at) 𝚜𝚌𝚑𝚎𝚜𝚝𝚘𝚠𝚒𝚝𝚣 (dot) 𝚌𝚘𝚖)
Full hyperlinks for navigation omitted but are fully available in the originals
The corresponding HTML versions are at 𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈
Latest in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒕𝒙𝒕 and older bulletins can be found at 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒕𝒙𝒕-𝒂𝒓𝒄𝒉𝒊𝒗𝒆𝒔
Full IPFS index in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒊𝒑𝒇𝒔 and as plain text in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒊𝒑𝒇𝒔/𝒕𝒙𝒕
Gemini index for the day: gemini://gemini.techrights.org/2023/07/01/


╒═══════════════════ 𝐑𝐄𝐂𝐄𝐍𝐓 𝐁𝐔𝐋𝐋𝐄𝐓𝐈𝐍𝐒 ════════════════════════════════════╕
  Previous bulletins in IPFS (past 21 days, in chronological order):

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QmRNgfMHUPhvtoQxtPkY9N9mUiqenbwM6Qn6jGnr9DxsqW
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QmRyhoXTRTi8YW7CtExFvbr65rgt7JY42ZP3MRbbovwL3m
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QmV5ySVbmsP2AeAH68yDVmHFJ6KcMVMruqJAzPTAzNqJfj
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QmWDDCNUM7rLDPCJqkf4WR2tKJf5sJB1pYz1fvptXTMkMz
QmSb4wbrNoFc4AnaEeBd7tr1JD291WtpvqU5v5VSMTwKUm
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QmYJMkthNjEmDoeTS1ZnvM6uZGXVe7N7RWiaZ3M9c9sjLK
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QmeNoHJkarTENUDHE3tyzk5Uw87Ezhnh5bscpLEmYcfkG3
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QmXEv7xmL12nNzPyzyX1xntQdGhbhi2NHbGMiM8QGRqe2X


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

⦿ The Corporate ’Cancel Culture’ Industry  -  Part I: Somebody Wants to be Your ‘Buddy’ | Techrights

⦿ Escalating Crimes of Sirius ’Open Source’ All the Way Up to the Government (After Police Refused or Failed to Deal With the Matter) | Techrights

⦿ The Corporate ’Cancel Culture’ Industry — Part II: People Who Defamed Linus Torvalds Say Torvalds Was “Grateful” for It | Techrights

⦿ IRC Proceedings: Friday, June 30, 2023 | Techrights

⦿ Gemini Links 01/07/2023: New Job and Making Games | Techrights

⦿ Web Server Survey: 2.7 Million Sites and 16 Million Domains Wiped Last Month | Techrights

⦿ British Police May Also Need to Investigate the Non-Disclosure Agreement (NDA) Signed Between Sirius and the Gates Foundation in 2019 | Techrights

⦿ No Service for You | Techrights

 ䷼ Bulletin articles (as HTML) to comment on (requires login):
		http://techrights.org/2023/07/01/baddy-buddy/#comments
		http://techrights.org/2023/07/01/escalating-to-uk-gov/#comments
		http://techrights.org/2023/07/01/grateful-for-brigading/#comments
		http://techrights.org/2023/07/01/irc-log-300623/#comments
		http://techrights.org/2023/07/01/making-games/#comments
		http://techrights.org/2023/07/01/netcraft-june-2023/#comments
		http://techrights.org/2023/07/01/non-disclosure-agreement-sirius/#comments
		http://techrights.org/2023/07/01/tok-tok-whos-there/#comments

 ䷞ Followed by Daily Links (assorted news picks curated and categorised):
		http://techrights.org/2023/07/01/easyos-5-4-5/#comments
		http://techrights.org/2023/07/01/heisenbug-in-agate/#comments
		http://techrights.org/2023/07/01/microsoft-has-more-trouble/#comments
		http://techrights.org/2023/07/01/social-control-media-self-destruction/#comments
		http://techrights.org/2023/07/01/woes-for-social-control-media/#comments

                    ䷩ 𝚕𝚒𝚗𝚎 72

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

(ℹ) Images, hyperlinks and comments at http://techrights.org/2023/07/01/baddy-buddy/#comments
    Gemini version at gemini://gemini.techrights.org/2023/07/01/baddy-buddy/

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 07.01.23⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


Gemini_version_available_♊︎


✐ The_Corporate_‘Cancel_Culture’_Industry_—_Part_I:_Somebody_Wants_to_be_Your
‘Buddy’⠀✐


Posted in Deception, GNU/Linux at 8:15 am by Dr. Roy Schestowitz


Video_download_link | md5sum 494fa415c3292558dcce5e4ba3639ca6
Signal From Unwanted Person
Creative Commons Attribution-No Derivative Works 4.0


http://techrights.org/videos/message-from-afar-re-lf.webm


Summary: Starting today in Techrights we have a series entitled “The Corporate
‘Cancel Culture’ Industry” (introduction_here); it’ll be done mostly in the
form of videos as they seem more appropriate for the subject at hand and are a
lot harder to take out of context; the series will be focused on but not
limited to the Linux_Foundation


THERE is a malicious campaign of misinformation which incites people against
Free software leaders and luminaries (examples of a radicalised person aren’t
hard to find; we covered_one_just_hours_ago). We’re meant to think that the
main problem with the Linux Foundation is money (as if money itself is
inherently evil) and that people who don’t wear a suit and a tie are
disgusting, unbathed, and maybe wear a bathrobe all day long (around their own
house).


“My criticisms of the Linux Foundation are explained and have been explained
rather clearly since 2019.”This series starts with an anecdote, an interview
request that I recently received, and later it will branch out to a broader
discussion about the problem domain. We need to be prepared to protect our
peers from false accusations, innuendo, and effective smears that typically
boil down to “isms” (where the facts don’t fit the alleged stigma).


My criticisms of the Linux Foundation are explained and have been explained
rather clearly since 2019. They are labeled suitably and some are suitably
categorised under clusters. I reject the idea that the problem is dogmatic;
what we have there is a malicious campaign of trolling_against_communities,
perpetrated by ‘suits’ (many_from_Microsoft). The earlier parts of this series
will be done mostly as videos as it is easier to secure anonymity that way.
It’s also harder to distort or take things out of context (than text). █



                    ䷩ 𝚕𝚒𝚗𝚎 134

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

(ℹ) Images, hyperlinks and comments at http://techrights.org/2023/07/01/escalating-to-uk-gov/#comments
    Gemini version at gemini://gemini.techrights.org/2023/07/01/escalating-to-uk-gov/

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 07.01.23⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


Gemini_version_available_♊︎


✐ Escalating_Crimes_of_Sirius_‘Open_Source’_All_the_Way_Up_to_the_Government_
(After_Police_Refused_or_Failed_to_Deal_With_the_Matter)⠀✐


Posted in Deception, Fraud, Free/Libre_Software at 10:06 am by Dr. Roy
Schestowitz


Video_download_link | md5sum 9626365333766dabc4d34d12ae13a6a6
Getting Down to Arrests, Compensation, Gates NDA
Creative Commons Attribution-No Derivative Works 4.0


http://techrights.org/videos/sirius-police-chase-4-months.webm


Summary: The crimes of Sirius_‘Open_Source’ are believed to be investigated
right now, but it is important to note just how much effort is required — even
some_connections — to get things rolling and actually get law enforcers to do
their job rather than send bot messages acknowledging the receipt of something
never handled by an actual person


THE video above is an outline or an overview of some recent developments in the
quest to hold Sirius ‘Open Source’ management accountable for very serious
crimes. The clients included very high-profile government departments, so we
don’t expect this to be easy. Generally speaking, the government tends to
protect itself from accountability or from ‘embarrassment’, perhaps even
prosecution and jail time. In this case, there are many victims and they’re
GNU/Linux system administrators, sometimes programmers too. We expect this
series to last until the end of the year, maybe even next year, judging by how
slowly “the system” is moving, both by intention and by design. We’ll document
the failings and the shortcomings of this system. We’ve seen similar_things_in
the_EU when it comes to EPO corruption. █



                    ䷩ 𝚕𝚒𝚗𝚎 184

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

(ℹ) Images, hyperlinks and comments at http://techrights.org/2023/07/01/grateful-for-brigading/#comments
    Gemini version at gemini://gemini.techrights.org/2023/07/01/grateful-for-brigading/

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 07.01.23⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


Gemini_version_available_♊︎


✐ The_Corporate_‘Cancel_Culture’_Industry_—_Part_II:_People_Who_Defamed_Linus
Torvalds_Say_Torvalds_Was_“Grateful”_for_It⠀✐


Posted in Deception, GNU/Linux, Kernel at 8:02 pm by Dr. Roy Schestowitz


Torvalds is bossed_by_women_from_Microsoft_now


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


Summary: We’ve seen it all before; the concern trolls and ‘cancel culture’
warriors try to pass off their brigading as “help” and “advice” to the_target
of_brigading; today we give some more concrete details


MY recent writings about the Linux_Foundation ‘provoked’ some people and this
is, in some sense, the fourth post on the reaction. I wrote about it on_the
same_day and recently started this ongoing_series which explains what’s going
on behind the scenes.


The previous part was intentionally vague. No need to personify things or
“harass” the provocateurs, siccing a ‘mob’ on them. We reject their tactics.
This short part will hopefully be clearer, but no names will be named here. The
short story is, the people who sought to cancel and destroy the career of Linus
Torvalds got in touch with me. As I shall explain at a later stage, the
motivations seem disingenuous and I’ve already informed/alerted Torvalds,
seeing that he should at least be aware of what’s going on.


The person who wrote me said: “Hey Roy — thanks for getting back to me. As you
must know, Torvalds took a leave of his own accord and is still running Linux.
From what I’ve heard — I’d be interested if you’ve heard differently — he is
grateful that the article gave him a chance to re-assess how he was treating
contributors.”


“The previous part was intentionally vague.”No, not really. The very same
people who forced him to see_therapists and make a public apology (as a tacit
condition for getting back to his own project) keep using that malicious
talking point. We saw Gulagboy doing the same, in effect claiming that their
victim of attack (concerned trolling) appreciated and was grateful for the
attack.


That went on: “But, I must confess that your response reminds me of an
interaction I once had with a prominent Silicon Valley figure who disagreed
with a thesis I would explore in my book, namely that Stanford University
greatly influenced how the Internet developed. His condition for speaking with
me, I came to learn, was that I agree he was right and I was wrong. We never
did have that conversation. As I mentioned at the top, I’m glad for all the
links you’ve made and if you want to speak about them, please do let me know.”


“The short story is, the same people who months after IBM had taken over Red
Hat (on paper) unseated Torvalds and months later defamed Richard Stallman (it
helped distract from what Bill Gates and Jeffrey Epstein did at MIT) are once
again looking for “blood”.”Facts don’t matter to these people. They have a
mission and they want to topple people on behalf of rich liars. I could suggest
a raw interview, but that’s not what he was after. I even said. “I can suggest
we co-author an article that explains pertinent, verified facts about LF.” He
was not interested, either.


The short story is, the same people who months after IBM had taken over Red Hat
(on paper) unseated Torvalds and months later defamed Richard Stallman (it
helped distract from what Bill Gates and Jeffrey Epstein did at MIT) are once
again looking for “blood”. Whose? Hard to tell. But be very suspicious. In the
next part we’ll analyse the motivations █


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

                    ䷩ 𝚕𝚒𝚗𝚎 1482

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

(ℹ) Images, hyperlinks and comments at http://techrights.org/2023/07/01/irc-log-300623/#comments
    Gemini version at gemini://gemini.techrights.org/2023/07/01/irc-log-300623/

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 07.01.23⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


Gemini_version_available_♊︎


✐ IRC_Proceedings:_Friday,_June_30,_2023⠀✐


Posted in IRC_Logs at 3:52 am by Needs Sunlight


Also available via the Gemini protocol at:


    * gemini://gemini.techrights.org/irc-gmi/irc-log-techrights-300623.gmi
    * gemini://gemini.techrights.org/irc-gmi/irc-log-300623.gmi
    * gemini://gemini.techrights.org/irc-gmi/irc-log-social-300623.gmi
    * gemini://gemini.techrights.org/irc-gmi/irc-log-techbytes-300623.gmi
Over HTTP:


                                      🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇H                                     🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇HTML5_logs⦈_


                                         #techrights_log_as_HTML5                                                                                  #boycottnovell_log_as_HTML5


                                      🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇H                                     🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇HTML5_logs⦈_


                                    #boycottnovell-social_log_as_HTML5                                                                               #techbytes_log_as_HTML5


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


                                          #techrights_log_as_text                                                                                   #boycottnovell_log_as_text


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


                                     #boycottnovell-social_log_as_text                                                                                #techbytes_log_as_text


                          Enter_the_IRC_channels_now


===============================================================================
§ IPFS Mirrors⠀➾


CID                                              Description     Object type


                                                 IRC log for
 QmPXCCx5FDgFRAkkMDWXTypH9ThkJ5uDqWk4WTDb7KLhaw #boycottnovell  🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈
                                                 (full IRC log
                                                 as HTML)


                                                 IRC log for
                                                 #boycottnovell
 QmRLbcbLziLrsnQz9Jgp88nuG95fEn5CSnmVmTHNtZwXdS (full IRC log   🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇text logs⦈
                                                 as plain/ASCII
                                                 text)


                                                 IRC log for
                                                 #boycottnovell-
 QmcLuDm4jndTKtc5DQ7xFRA82kNeJRb1JB5x4EdqvGCPfp social          🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈
                                                 (full IRC log
                                                 as HTML)


                                                 IRC log for
                                                 #boycottnovell-
 QmNgUvS6ZieQQmqPZ4ispiHhqpfGr66fwgaXMmEQvyw3bJ social          🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇text logs⦈
                                                 (full IRC log
                                                 as plain/ASCII
                                                 text)


                                                 IRC log for
 QmRx5G2MhDpsH3gLG4YaMzq5UDbv3TJSSkNpio7gBDCGxG #techbytes      🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈
                                                 (full IRC log
                                                 as HTML)


                                                 IRC log for
                                                 #techbytes
 QmanTcQi4yAWQP6viQsVpj1bXry7xC86qzEr2pcNJ1yPdr (full IRC log   🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇text logs⦈
                                                 as plain/ASCII
                                                 text)


                                                 IRC log for
 QmUviLFeDe6wYtnhsc9nPJUz6rMYLTpmmTDEWWQDVjjhoL #techrights     🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈
                                                 (full IRC log
                                                 as HTML)


                                                 IRC log for
                                                 #techrights
 QmZSBsoPaW9mdVizhQMZ5tuTWhBud6NFc1He6UCoRwCC6G (full IRC log   🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇text logs⦈
                                                 as plain/ASCII
                                                 text)


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇IPFS logo⦈


§ Bulletin for Yesterday⠀➾


Local_copy | CID (IPFS): QmXEv7xmL12nNzPyzyX1xntQdGhbhi2NHbGMiM8QGRqe2X



                    ䷩ 𝚕𝚒𝚗𝚎 1609

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

(ℹ) Images, hyperlinks and comments at http://techrights.org/2023/07/01/making-games/#comments
    Gemini version at gemini://gemini.techrights.org/2023/07/01/making-games/

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 07.01.23⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


Gemini_version_available_♊︎


✐ Gemini_Links_01/07/2023:_New_Job_and_Making_Games⠀✐


Posted in Site_News at 8:17 pm by Dr. Roy Schestowitz


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


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


          o § Personal/Opinions⠀➾


                # ⚓ The_Rainy_Season⠀⇛


                       The weather was just … gross, this morning. I woke
                       up to it being cloudy and
                       threating rain. The news last night warned of heavy
                       rain and thunder, but when
                       I left home in the AM it wasn’t really coming down.
                       In my infinite wisdom I
                       only took a small umbrella, and when I got out of
                       the subway at my destination
                       the rain had really started.


                # ⚓ malahide_swimming⠀⇛


                       my work has been taking me to near Dublin on and
                       off over the last few months. i have managed to get
                       some swims in between shifts or on days off. i am
                       trying to get back to more regular running and
                       swimming.


                       on previous trips i swam at Portmarnock but this
                       trip i went only a very little further north to
                       Malahide; or rather High Rock. i prefer changing on
                       rocks or pebbles.


                # ⚓ nb⠀⇛


                       The ‘nb’ mention got me interested, and I
                       immediately installed it. I’ve been looking for an
                       easy note-taking solution, and this looks like a
                       pretty good one!


                       Apparently, it is 25K lines of bash… As long as
                       it’s not Python I am in! (The only things that
                       break on Linux are written in Python, if you
                       haven’t noticed).


                # ⚓ Mineral_Water_Saturday⠀⇛


                       Been drinking a lot of mineral water today. By god
                       it’s so hot out. I think they should turn the Sun
                       off for just a couple of days. We could really use
                       a break from it. If I could sleep until Fall I
                       would be very pleased


                # ⚓ Got_a_new_job⠀⇛


                       Got a new job as a baker in a bakery
                       I am under an apprenticeship for 5 years
                       The pay is good but the work is hard
                       Working till 5am every night
                       10+ hours


          o § Politics and World Events⠀➾


                # ⚓ re:_The_Supreme_Court_and_other_fools⠀⇛


                       I despise Capitalism and most other -isms
                       (political systems that prefer A over B). But I
                       believe that people are generally good, or if they
                       are not, it is still wrong to opress them using
                       violence or threats thereof.


          o § Technology and Free Software⠀➾


                # ⚓ Making_Games⠀⇛


                       Today, one of my Mastodon mutuals boosted a blog
                       post by software developer Evan Todd. It’s a long
                       and thoughtful piece about what we think we want,
                       and the ways in which we deceive ourselves. For
                       Todd, what he thought he wanted was a career in
                       indie game development, and in a very particular,
                       2010s sort of way. This was after the point where
                       people like Jonathan Blow, Ed McMillen, and others
                       were able to get famous, quickly, by releasing
                       small-studio games in an environment where there
                       was (relatively) little competition. The years
                       after “Indie Game: the Movie”, after certain game
                       developers became, in certain circles, actual
                       celebrities, and after a whole industry spun up
                       around The Things You Were Supposed To Do (YouTube
                       trailer, Early Access, twitch, social media,
                       funding via Kickstarter). I know this because I
                       was, in a very small way, adjacent to this sort of
                       scene. I’m a game developer in maybe the loosest
                       sense of the term. I don’t do it for a living. I
                       never could. But I’ve written a little terminal-
                       based puzzle game in C++ – that took me a couple of
                       weeks – and I’ve written, and continue to write, a
                       huge, sprawling, frustratingly incomplete game on
                       my own time.


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



                    ䷩ 𝚕𝚒𝚗𝚎 1761

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

(ℹ) Images, hyperlinks and comments at http://techrights.org/2023/07/01/netcraft-june-2023/#comments
    Gemini version at gemini://gemini.techrights.org/2023/07/01/netcraft-june-2023/

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 07.01.23⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


Gemini_version_available_♊︎


✐ Web_Server_Survey:_2.7_Million_Sites_and_16_Million_Domains_Wiped_Last
Month⠀✐


Posted in Protocol, Servers at 7:01 pm by Dr. Roy Schestowitz


  🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇June_2023_Web_Server_Survey:_In_the_June_2023_survey_we
  received_responses_from_1,106,671,903_sites_across_255,487,423_domains_and
  12,106,503_web-facing_computers._This_reflects_a_loss_of_2.7_million_sites,
    16.0_million_domains,_and_an_increase_of_69,309_web-facing_computers.⦈_


Summary: According to this_report_from_yesterday, the World Wide Web continues
its steep decline


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


⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⡛⡿⣛⢻⢙⡿⣛⢻⢛⣻⣛⢻⢑⡏⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⢿⣿⣿⣿⣯⣭⣽⣿⣿
⣿⣿⣿⣄⣿⣿⣿⣿⣿⣼⣧⣧⣝⣽⣬⣧⣝⣽⣼⣧⣺⣼⣼⣧⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⡿⠿⣿⠿⠿⢿⡿⠿⢿⣿⡿⢿⣿⢿⣿⠿⣿⣿⣿⡿⢻⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⠀⣿⢹⣿⢹⡏⢩⡍⢻⠋⠭⠹⣿⣿⡾⢃⣼⢰⣷⢸⣿⠟⣸⣿⣛⠴⣿⣿⠘⡇⡆⠟⢸⠏⠭⠙⡇⢨⡍⢻⣿⣧⣘⠻⡟⠩⠍⣿⠉⣭⡍⢿⢉⡟⠩⠍⣿⢉⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⠿⠀⣿⣬⣭⣸⣇⣸⣇⣼⣦⣍⣽⣿⣯⣀⣉⣹⣬⣡⣾⣁⣈⣩⣭⣩⣴⣿⣿⣇⣰⣷⣀⣿⣧⣍⣭⣧⣬⣡⣾⣿⣯⣍⣤⣷⣬⣩⣿⣠⣿⣿⣄⣾⣷⣬⣭⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣶⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣄⡛⢿⠉⣿⠉⣿⢉⣽⡉⡿⢩⡏⠭⠍⣏⢹⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣍⣡⣼⣤⣩⣄⣿⣸⣿⣷⣀⣿⣧⣍⣭⣿⡆⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⡿⠿⡿⢿⠿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣇⣷⣿⣿⣿⣿⣸⣿⡇⣇⣃⣷⣾⣌⣸⣟⣑⣜⣸⣋⣛⣊⣿⣏⣟⣿⣿⣟⣽⣻⣯⣽⣷⣵⣻⣻⣿⣿⣗⣿⣼⣇⣿⣸⣫⣟⣿⣺⣸⣇⣯⣗⣿⣻⣟⣗⣯⣿⣿⣏⣟⣿⣏⣿⣿⣸⣟⣻⣸⣸⣸⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡆⡿⣷⢸⡸⣁⢍⣿⡨⣹⢣⣷⢸⢿⢬⣅⢇⡯⣸⣯⢾⣹⢾⡿⡿⣻⣟⣎⡹⡏⣿⣿⡯⣿⢟⣿⠾⢾⢍⡧⣹⢟⡁⣓⢕⣟⣾⣟⡂⡟⢼⠯⣺⣿⣿⡹⣿⣷⣷⣟⢎⣿⣵⢹⢞⣿⢿⣏⣎⡿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡇⡿⣪⣿⡅⡏⡎⡻⢺⣿⡖⡏⢞⢷⢹⡟⣛⣻⣉⡯⣟⣿⣽⢟⢛⣽⢸⣭⡏⣿⣿⢭⣯⣽⢹⢹⢻⣭⡏⡏⣿⣏⣹⢹⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⢻⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣾⣶⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 1846

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

(ℹ) Images, hyperlinks and comments at http://techrights.org/2023/07/01/non-disclosure-agreement-sirius/#comments
    Gemini version at gemini://gemini.techrights.org/2023/07/01/non-disclosure-agreement-sirius/

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 07.01.23⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


Gemini_version_available_♊︎


✐ British_Police_May_Also_Need_to_Investigate_the_Non-Disclosure_Agreement_
(NDA)_Signed_Between_Sirius_and_the_Gates_Foundation_in_2019⠀✐


Posted in Bill_Gates, Deception, Fraud, Free/Libre_Software at 9:58 am by Dr.
Roy Schestowitz


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


Summary: It’s not unreasonable to suspect that Bill Gates — via the Gates
Foundation — was passing a cleverly-disguised bribe to control Sirius_‘Open
Source’ because years prior Microsoft_managers_phoned_the_company_to_complain
about_Roy; the NDA was signed when Roy investigated serious crimes and arrest
(for pedophilia) at the private home of Bill Gates; very suspicious (even
illegal) things happened after the NDA had been signed


⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿
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⣿⣿⣿⢍⢉⡵⣲⡇⣱⣛⠯⠈⢾⣿⡷⠾⠶⣿⣾⠿⠚⠳⢿⣟⠛⣿⣿⠋⢹⡿⢋⣩⣍⣏⠉⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⠆⣿
⣿⣿⣯⠯⢂⣪⣻⣛⣛⣋⡶⡄⠋⣿⣿⠀⠆⢈⠃⢸⣿⣷⠀⣿⠀⣿⣿⡇⢸⡀⢸⣿⣿⣿⠀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⡿⢿⣿⠟⣿⡖⢻⣿⠛⣿⡟⢹⣿⣉⣿⢏⣹⠿⣉⡿⢧⣼⠟⣤⡟⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿
⣿⣿⣿⣤⡟⢣⣼⠛⣶⡟⣱⣾⣉⣶⣏⣹⣿⣁⣿⣧⣼⣿⣤⣿⣧⣼⣿⣶⣿⣷⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡿⠛⡟⣻⠿⡿⡿⢿⢿⣿⣿⣿⣿⠀⠀⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣭⣭⣿⣽⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢳⢗⡒⠫⢩⠲⡧⠷⡃⡕⣿⣿⣿⡏⠀⠀⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢂⢳⠲⡞⠼⡈⠢⢥⡵⢡⣿⣿⣿⡇⠀⠀⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣾⣿⣿⣿⣿⣿⠁⠀⠀⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣤⣷⣵⣤⣂⣥⣦⣧⣧⣬⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠛⠛⠻⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣭⣭⡭⠭⠭⠿⠛⠛⠛⠻⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⡿⠀⠀⠀⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⡞⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⣿
⣿⢏⠻⣍⢹⢻⠿⡛⠻⢻⢻⣏⠏⠟⣟⣿⢋⢯⠙⣏⢿⡏⠟⢋⠙⡛⡛⢻⢏⡟⣻⠛⡛⡏⠛⣿⣿⣿⣿⠀⠀⠀⢠⢾⣿⣿⢷⣤⣤⣴⣇⣀⣀⡀⠘⣄⣀⣀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⡶⡶⣿⣾⣷⣾⣶⠾⢾⣾⣾⣷⣷⣷⡿⣿⣿⣶⡾⣾⣾⡶⡾⣷⣷⡵⢿⣶⣶⣾⣶⣷⣷⣶⣿⣿⣿⣿⠀⠀⠀⢾⣾⠉⠙⢟⡉⠭⠁⣪⡞⢩⣭⣍⣛⣛⡛⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠒⢦⠀⠀⠀⣿
⣿⣳⣅⣙⣍⡸⣹⣟⣾⣏⣘⣏⣏⣿⣇⣣⣁⣉⢙⣿⣈⣸⣳⣣⣉⣹⣱⣞⣉⣃⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⠨⠽⠿⣍⣥⣬⡛⣿⣿⡿⠉⠉⠉⠑⣶⡆⠉⢩⣽⣿⣿⣧⠀⠀⣀⣀⣼⣷⡄⠀⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠃⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠋⠀⠀⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠋⠉⠂⠀⠀⠀⠀⠀⠀⠀⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠉⢹⣿⡟⡏⠉⠉⠉⠉⠙⡟⡿⣿⣿⣿⣿⣿⡿⠟⠻⣿⡏⠉⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⠀⠀⠀⠀⠀⠀⣀⢀⡀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠠⠈⣿⣿⣿⡇⠐⠀⢸⠉⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⠀⠀⠀⠠⡀⢀⠉⠉⠁⠀⠀⠀⠀⠀⠀⢀⡿⣾⠇⠀⠀⠀⠀⠀⢷⠀⠀⠸⣿⡿⠈⢷⠀⠀⠘⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢳⣻⣼⣿⣧⣀⣀⣀⣄⣠⣄⣀⣀⣠⣴⣧⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⠀⠀⠀⠀⠀⠻⠂⠀⣀⣀⣠⣤⣤⣄⣀⣈⡀⠀⠀⠀⠀⣀⣤⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢹⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⠀⠀⠀⠀⣠⣴⣾⣿⣀⣽⣀⣨⠄⣀⣀⣿⣿⣿⣶⣶⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠁⣾⡿⠿⠿⠿⠿⠿⠿⠿⠿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⠀⠀⣠⣾⣿⣿⣿⠿⠷⠦⡴⠦⠤⠥⠼⠿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⠀⢸⠀⠀⠀⠢⠀⢸⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣾⡟⠁⣠⣶⣾⣿
⣿⠀⢰⣿⣿⣿⡟⡛⠒⠒⠚⠓⢲⠒⠒⠒⠒⠛⢻⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢼⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠈⠀⠀⠀⠉⠙⣿
⣿⠀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣏⣉⣉⣹⣉⣉⣹⣉⣩⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣦⣤⣀⡀⣿⣦⣶⣶⣶⣤⣤⣤⣤⣴⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣾⣿⣿⣿⣶⣶⣤⣤⣼⣿
⣿⠀⠸⣿⣿⣿⣿⣿⣿⡧⠤⠴⠤⠤⠦⢤⠤⠤⠴⠤⠤⠤⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠀⠀⠙⣿⣿⣿⣿⣿⡗⠒⠒⠒⠒⡖⠒⠒⢒⠒⠒⠒⠒⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠤⣿⣿⣷⣦⣬⣙⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠛⢿⣿⣿⣿
⣿⠀⠀⠀⠈⠛⢿⣿⣉⣁⠀⢙⠋⡀⠉⣍⠁⢸⢁⣡⢰⠀⣙⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠢⡤⣽⣿⣿⣿⠻⣿⣶⣮⣭⣿⣿⣿⣿⡿⢿⠛⠛⣟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿
⣿⣤⡀⠀⢠⠀⠀⠈⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣀⣐⣾⣿⣿⡏⠀⠹⣿⣿⣿⣿⣿⣟⣓⣒⣚⣀⣀⣘⣄⠀⠀⠠⠴⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣭⣿
⣿⠉⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⠈⠉⠛⠿⣿⡷⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣻⣿
⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣦⣦⣤⣤⣤⣤⣤⣤⣼⣀⣀⣀⣀⣀⣀⣀⣀⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣋⣁⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣿

                    ䷩ 𝚕𝚒𝚗𝚎 1917

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

(ℹ) Images, hyperlinks and comments at http://techrights.org/2023/07/01/tok-tok-whos-there/#comments
    Gemini version at gemini://gemini.techrights.org/2023/07/01/tok-tok-whos-there/

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 07.01.23⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


Gemini_version_available_♊︎


✐ No_Service_for_You⠀✐


Posted in Protocol at 7:24 pm by Dr. Roy Schestowitz


                       🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇Tok Tok nazi⦈


Summary: The digital world deteriorates rapidly


Magical thinking, piracy is tinkering
The Web-based future, designed by the fuhrer
Cannot block ads, for porn and for meds
The tweets are now hidden, can’t see no kitten
Reddit yanking chains, moderate propaganda for Gates
Android on_the_rise, the smart phone is wise
Stream your entertainment, it’s all gone without payment
The future is bright, surveilled by the byte
Turn off the light, get shadowbanned by night █


⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠰⡏⣩⣅⠀⠠⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⠀⠀⣿⠷⠿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⠿⠿⠛⠿⠒⠒⠀⠐⠺⠿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠠⠄⠠⠤⠤⠤⠤⠶⠶⠤⠶
⣤⣄⠀⢸⣿⡟⣻⣿⣿⣟⢻⣿⣿⠀⠀⠀⣿⣿⡄⠀⣿⣿⣿⣿⣿⣿⡂⠀⢻⣿⠿⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⠟⢿⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⢀⣀⣀⣀⣀⡀⠀⠀⠀⠀
⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⣀⣀⣽⣿⣧⣄⣼⣿⣿⣿⣿⣿⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⣼⣿⣿⣿⣿⣿⠀⠀⠀⠀
⣿⣿⡄⠀⢹⣿⣿⣿⡿⠋⢸⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⡏⠈⢻⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀
⣿⣿⡇⠀⣼⣿⣿⣿⣡⣤⣾⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣗⠀⠈⣀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⠛⠿⢿⡿⠿⠟⠀⠀⠀⠀
⣿⣿⣿⠀⣿⣿⣿⣿⡟⠛⠛⠛⠃⠚⠿⠿⠿⠿⠿⠿⠿⠿⠀⠀⢿⣿⠄⠀⠀⠀⣤⣶⣶⣶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡶⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⣀⣤⣤⣤⣶⣶⣤⣄⠀⠰⣦⡀
⣿⣿⣿⠀⣿⣿⣿⣿⡇⠀⠀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠚⠻⠿⠿⠿⠿⠿⠋⠿⠿⢿⠿⠿⠿⢿⣿⣿⣿⣿⣿⠀⠀⠈⠻
⣿⣿⣿⠀⠟⣿⣿⣿⡇⠀⠐⠿⠿⣿⣿⠿⠿⠃⠀⣀⣀⡀⠀⠀⠀⠀⣷⣶⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣤⣤⣈⣙⡇⠀⠀⠀⢀
⣿⣿⣿⠀⠀⣾⣿⣿⠃⠀⠀⠀⢀⣿⣿⠀⢀⣴⣿⣿⠿⢿⣿⣦⡀⢸⣿⡏⢀⣴⣶⠶⠀⠀⠀⠀⠛⠛⣿⣿⠛⠛⠁⣀⣠⣤⣤⣀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡿⠿⠿⠿⢿⠇⢠⣤⣤⣤
⣿⣿⣿⠀⢸⣿⣿⣿⠇⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⠁⠀⠀⢹⣿⡇⢸⣿⣿⣿⣟⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⣾⣿⠟⠛⠛⢿⣷⡀⠀⣿⣿⣠⣾⡿⠟⠁⠀⠀⠀⠀⠀⠀⢸⣤⣤⣤⣤⣤⣤⣤⣤⠀⢘⣿⣿⣿
⠛⠛⠛⠀⠀⠛⠛⠛⠀⠀⠀⠀⢸⣿⡟⠀⠘⢿⣿⣦⣤⣴⣿⡿⠃⢸⣿⡏⠙⣿⣧⡀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠸⣿⣿⡀⠀⠀⢸⣿⡿⢀⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⣨⣉⣉⣉⣉⣉⣉⠉⠉⠀⠀⠙⠛⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠉⠙⠛⠛⠉⠀⠀⠘⠛⠃⠀⠈⠿⠷⠄⠀⠀⠀⠀⠀⣿⣿⠀⠀⠙⢿⣿⣶⣾⣿⠟⠁⢸⣿⡿⠈⢻⣿⣆⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠈⠉⠁⠀⠀⠙⠛⠂⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠁⠸⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⡈⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠉⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⡀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠈⠻⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣦⡀⠀⠀⠀⠀⠀⠈⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠈⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣰⣤⣄⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⠿⢃⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⢉
⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢿
⣿⣿⣿⣿⣿⡝⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⣘
⣿⣿⣿⣿⣿⡗⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢻
⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠘
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⠿⠿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢰
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶
⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠉⡀⠉⠈⡉⠈⠉⠁⠀⠈⠛⠉⠛⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢰⡿⠃⠀⣰⣿⣿⣿⣿⣿⣷⣦⣠⣤⡄⠀⢰⣶⣶⣦⣤⣤⣤⣤⣤⣤⣭⣉⣉⣉⣛⣻⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠉⠉⠉⠉⠉⠙⠛⠛⠛⠛⠛⠛
⠸⠁⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣭⣭⣭⣭⣉⣉⣉⡛⠛⠛⠛⠛⠛⠛⠛⡛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⣰⣿⣿⣿⣿⣷⣶⣶⣶⣶⣤⣤⣤⣀⠀⠀⠀⠀
⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀
⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀
⠁⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠗⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡿⠟⠋⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀
⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀
⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⣀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣇⡀⠰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠻⠿⠏⠜⠃⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣛⡛⠉⠻⣿⣿⡇⠀⠀⠀⠀⠀⠀
⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠻⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣼⡿⠀⠀⠀⠀⠀⠀⠀

                    ䷩ 𝚕𝚒𝚗𝚎 2008

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 07.01.23⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


Gemini_version_available_♊︎


✐ Links_01/07/2023:_PostgreSQL_16_Beta_2_and_EasyOS_5.4.5⠀✐


Posted in News_Roundup at 8:36 pm by Dr. Roy Schestowitz


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * GNU/Linux
          o Linux_Magazine
          o Audiocasts/Shows
          o Applications
          o Instructionals/Technical
          o Desktop_Environments/WMs
                # K_Desktop_Environment/KDE_SC/Qt
    * Distributions_and_Operating_Systems
          o New_Releases
          o SUSE/OpenSUSE
          o Fedora_Family_/_IBM
          o Debian_Family
          o Canonical/Ubuntu_Family
          o Devices/Embedded
          o Open_Hardware/Modding
          o Mobile_Systems/Mobile_Applications
    * Free,_Libre,_and_Open_Source_Software
          o Web_Browsers/Web_Servers
                # Mozilla
          o SaaS/Back_End/Databases
          o Programming/Development
                # Python
                # Shell/Bash/Zsh/Ksh
          o Standards/Consortia
    * Leftovers
          o Science
          o Health/Nutrition/Agriculture
          o Proprietary/Artificial_Intelligence_(AI)
          o Security
                # Privacy/Surveillance
          o Defence/Aggression
          o Environment
                # Energy/Transportation
                # Wildlife/Nature
          o Finance
          o AstroTurf/Lobbying/Politics
          o Censorship/Free_Speech
          o Freedom_of_Information_/_Freedom_of_the_Press
          o Civil_Rights/Policing
          o Internet_Policy/Net_Neutrality
          o Monopolies
                # Patents
                # Trademarks
                # Copyrights
    * Gemini*_and_Gopher
          o Personal/Opinions
          o Politics_and_World_Events
          o Technology_and_Free_Software
    * § GNU/Linux⠀➾


          o § Linux Magazine⠀➾


                # ⚓ Linux Magazine ☛ Edit_landscape_photos_with_RawTherapee
                  5.9⠀⇛


                       The current RawTherapee version finally adds
                       selective image editing, among other long-desired
                       features, to help it compete with king of the hill,
                       darktable.


                # ⚓ Linux Magazine ☛ Starting_a_podcast_with_Linux_and
                  Audacity⠀⇛


                       Audacity is a free, open source, easy-to-use,
                       multitrack audio recording and editing tool perfect
                       for podcasts.


                # ⚓ Linux Magazine ☛ A_modern_terminal_pager⠀⇛


                       The most terminal pager offers a feature-rich,
                       better organized alternative to less.


                # ⚓ Linux Magazine ☛ Kernel_News”⠀⇛


                       In kernel news: Rust in Linux; and Compiler and
                       Kernel Frenemies.


                # ⚓ Linux Magazine ☛ Algorithm-driven_team_building⠀⇛


                       Instead of the coach determining the team lineup,
                       an algorithm selects the players based on their
                       strengths for Mike Schilli’s amateur soccer team.


                # ⚓ Linux Magazine ☛ Network_knowledge_at_your_fingertips_with
                  NetBox⠀⇛


                       NetBox is a single source of information on your
                       network where you can store all those important
                       details that used to get lost.


                # ⚓ Linux Magazine ☛ Blackouts_and_Black_Ink⠀⇛


                       The Reddit blackout is big in the news as I write
                       this column.


                # ⚓ Linux Magazine ☛ Designing_cross-platform_GUI_apps_with
                  Fyne⠀⇛


                       The Fyne toolkit offers a simple way to build
                       native apps that work across multiple platforms. We
                       show you how to build a to-do list app to
                       demonstrate Fyne’s power.


                # ⚓ Linux Magazine ☛ Scoreboards_and_Video_Routing_in_Python⠀⇛


                       We look at a broadcast video system network that
                       uses Python code to control a video router and
                       check out another program that creates a
                       scoreboard.


                # ⚓ Linux Magazine ☛ Exploring_the_TUXEDO_InfinityBook_16_Gen7
                  MK1⠀⇛


                       The next-generation laptop from TUXEDO is faster
                       and lighter than previous business models.


                # ⚓ Linux Magazine ☛ News⠀⇛


                       Updates on technologies, trends, and tools


                # ⚓ Linux Magazine ☛ This_Month’s_DVD⠀⇛


                       Linux Mint 21.1 and openSUSE Leap 15.5


                # ⚓ Linux Magazine ☛ Detect_duplicates_with_fdupes⠀⇛


                       The command-line fdupes tool helps you find
                       duplicate folders and directories.


                # ⚓ Linux Magazine ☛ Not_Intelligent⠀⇛


                       Earlier technologies have persisted despite
                       government regulations – so will AI.


                # ⚓ Linux Magazine ☛ An_inside_look_at_creating_a_podcast⠀⇛


                       If you use Linux, you already have most of the
                       tools you need to get in the podcast game. Just
                       plan carefully and take it a step at a time.


                # ⚓ Linux Magazine ☛ Mastering_and_mixing_with_Ardour⠀⇛


                       Once you get your podcast operation up and running,
                       you might decide you want a real mixer and some
                       higher-end software. We’ll introduce you to Ardour
                       and get you started with some basic audio hardware.


                # ⚓ Linux Magazine ☛ Sparkling_gems_and_new_releases_from_the
                  world_of_Free_and_Open_Source_Software⠀⇛


                       This month Graham looks at wallabag, Read It Later,
                       killport, F3D, Tenacity, Cataclysm: Dark Days
                       Ahead, botany, and more!


                # ⚓ Linux Magazine ☛ Introduction⠀⇛


                       This month in Linux Voice and Elvie.


                # ⚓ Linux Magazine ☛ The_veteran_of_free_distros⠀⇛


                       Rüben Rúdríguez discusses Trisquel, a free Linux
                       distro that has been in continuous development for
                       the past 16 years.


          o § Audiocasts/Shows⠀➾


                # ⚓ Linux in the Ham Shack ☛ LHS_Episode_#508:_Close_Enough⠀⇛


                       Welcome to the 508th installment of Linux in the
                       Ham Shack.


          o § Applications⠀➾


                # ⚓ Linux Links ☛ Festival_is_a_Music_Player_with_a_Special
                  Interface⠀⇛


                       Festival is a graphical music player for local
                       album collections. It’s written in Rust and
                       published under an open source license.


                # ⚓ Linux Links ☛ Hyper_adds_multiple_profiles_and_image
                  support_with_release_4.0.0-canary.4⠀⇛


                       Hyper is one of our most highly_rated_terminal
                       emulators. It’s an Electron-based terminal built on
                       HTML, CSS, and JavaScript.


                # ⚓ Linux Links ☛ Best_Free_and_Open_Source_Software_(June_2023
                  Updates)⠀⇛


                       June 2023 updates to the largest compilation of
                       recommended free and open source software available
                       for Linux.


                # ⚓ Linux Links ☛ Alternatives_to_popular_CLI_tools:_awk⠀⇛


                       This article spotlights alternative tools to awk,
                       software specialized for textual data manipulation.


                # ⚓ Linux Links ☛ Opal_–_listen_to_relaxing_background_music⠀⇛


                       Opal is a small utility that’s designed to do one
                       thing — listen to relaxing background music. It’s
                       written in Java.


          o § Instructionals/Technical⠀➾


                # ⚓ How_to_Disable/Enable_CPU_Cores_in_Ubuntu⠀⇛


                       CPU cores are essential for effectively processing
                       data and carrying out computations in the world of
                       computers.


                # ⚓ It’s FOSS ☛ How_to_Remove_Software_Repositories_from
                  Ubuntu⠀⇛


                       From apt-add-repository to Software & Updates tool,
                       here are several ways to remove software
                       repositories from Ubuntu.


                # ⚓ Install_Windows_11_as_KVM_Guest_in_SparkyLinux_7_using
                  virt-manager⠀⇛


                # ⚓ Cloudbooklet ☛ How_to_Create_a_New_systemd_Service_on
                  Linux:_A_Step-by-Step_Guide⠀⇛


                       Learn how to create a new systemd service on Linux
                       with this step-by-step guide.


                # ⚓ Ubuntu Handbook ☛ How_to_Install_Linux_Kernel_6.4_in_Ubuntu
                  22.04_|_23.04⠀⇛


                       Linux Kernel 6.4 was released a few days ago.
                       Ubuntu users can now install it from Kernel
                       Mainline PPA.


                # ⚓ DebugPoint ☛ How_to_Fix_No_Suitable_Archive_Manager_Found
                  Error⠀⇛


                       A simple guide to fix the no suitable archive
                       manager found error in Linux distributions,
                       including Arch Linux. The “No Suitable Archive
                       Manager Found” error can be frustrating when
                       extracting or opening compressed files on your
                       computer.


                # ⚓ Linux Capable ☛ Bash_read_Command_with_Examples⠀⇛


                       Bash, an acronym for Bourne Again SHell, is a
                       command-line interpreter that provides a multi-
                       functional interface for users to interact with
                       operating systems. One of the most versatile built-
                       in commands in Bash is the read command.


                # ⚓ Linux Capable ☛ Bash_wait_Command_with_Examples⠀⇛


                       In the realm of Bash scripting, understanding the
                       built-in commands and their functionalities is
                       crucial. One such command, the wait command, plays
                       a pivotal role in managing process execution. This
                       command pauses the current shell’s execution until
                       specified jobs have completed, and then returns the
                       exit status of the command it was waiting for.>


                # ⚓ It’s FOSS ☛ How_to_Install_Wine_in_Ubuntu⠀⇛


                       Looking to run Windows-only software on Ubuntu?
                       Wine is your friend. Learn to install Wine in
                       Ubuntu Linux.


                # ⚓ Barry Kauler ☛ Flapi_fix_if_fail_to_register_with_flathub⠀⇛


                       There is discussion of a couple of flatpaks here,
                       and failure to register with flathub.org:


                       https://forum.puppylinux.com/viewtopic.php?t=9038


                       There is a fault in Flapi; if failed to register
                       with flathub.org, Flapi should not have then been
                       allowed to download and install apps. Federico was
                       getting the failure, then continued to download
                       apps, which then did not work.


                # ⚓ Beebom ☛ How_to_Install_Git_on_Ubuntu_(2023_Guide)_|
                  Beebom⠀⇛


                       For most project members, it is probably not
                       feasible to download a ZIP file of all the project
                       files every time a new feature gets updated or
                       added. To solve this, Linus Torvalds created Git in
                       2005. It is a free and open-source version control
                       software that makes collaborating on projects
                       effortless. In this article, we will walk you
                       through the process of installing Git on Ubuntu
                       22.04 LTS (Jammy Jellyfish) and earlier releases.


                # ⚓ Make Use Of ☛ How_to_Create_a_New_systemd_Service_on
                  Linux⠀⇛


                       systemd is the service manager for a lot of well-
                       known Linux distributions. A service is a unit of a
                       program that typically runs in the background.
                       Services, by nature, automatically start up as soon
                       as the system boots up and can run unattended.


                       If you need to create an auto-starting task or
                       program that executes every time you boot or reboot
                       your system, you can consider creating a new
                       service. Let’s learn how to create a new, custom
                       systemd service on Linux.


                # ⚓ Linux Host Support ☛ How_to_Install_Icinga_2_on_Ubuntu⠀⇛


                       In this tutorial, we are going to explain in step-
                       by-step detail how to install Icinga 2 on Ubuntu
                       22.04 Icinga is a free and open-source monitoring
                       tool used for sending alerts when failures occur on
                       the servers.


                # ⚓ Own HowTo ☛ How_to_install_CentOS_Stream_9⠀⇛


                       In this tutorial, you will learn how to install
                       CentOS stream 9 on your machine.


                # ⚓ Trend Oceans ☛ How_to_Install_Linux_Mint_Cinnamon_Desktop
                  in_Ubuntu_22.04_or_Later⠀⇛


                       Instead of hopping to Linux Mint, why not just
                       Install the Linux Mint Cinnamon desktop in Ubuntu
                       and enjoy the best of both worlds?


                # ⚓ Linux Capable ☛ How_to_Setup_Nginx_FastCGI_Cache_on_Ubuntu
                  22.04-20.04⠀⇛


                       In this guide, you will learn how to set up Nginx
                       FastCGI cache on Ubuntu 22.04 Jammy Jellyfish or
                       Ubuntu 20.04 Focal Fossa LTS. The FastCGI cache is
                       an integral component when optimizing your web
                       server’s performance. Nginx, renowned for its
                       efficiency and scalability, can be further
                       bolstered by configuring its FastCGI cache.


                # ⚓ Linux Capable ☛ How_to_Install_Python_3.9_on_Debian_Linux⠀⇛


                       Python is a versatile and widely-used programming
                       language. This article sheds light on Python 3.9
                       and guides you through its installation on Debian
                       12 Bookworm, Debian 11 Bullseye, and Debian 10
                       Buster by downloading the Python 3.9 archive, as
                       repositories seldom host this version owing to its
                       age.


                # ⚓ Linux Capable ☛ How_to_Install_Grub_Customizer_on_Linux
                  Mint_21/20⠀⇛


                       Grub Customizer, a powerful tool designed for
                       managing and customizing the GRUB (Grand Unified
                       Bootloader) and BURG bootloaders, enables you to
                       take charge of your system’s startup process. >


                # ⚓ TechRepublic ☛ How_to_Stop_and_Remove_All_Docker_Containers
                  with_2_Simple_Commands⠀⇛


                       In this TechRepublic How to Make Tech Work video,
                       Jack Wallen shows how to stop and remove all Docker
                       containers at once with just two simple commands.


                # ⚓ TechRepublic ☛ How_to_Stop_and_Remove_All_Docker_Containers
                  with_2_Simple_Commands⠀⇛


                       In this TechRepublic How to Make Tech Work video,
                       Jack Wallen shows how to stop and remove all Docker
                       containers at once with just two simple commands.


          o § Desktop Environments/WMs⠀➾


                # § K Desktop Environment/KDE SC/Qt⠀➾


                      # ⚓ My_work_in_KDE_for_June_2023⠀⇛


                             We’re about halfway through year! This update
                             is a bit smaller than usual, and more focused
                             on applications than Plasma. This isn’t for
                             lack of time or trying, but I tried to
                             deliberately clear out my backlog. That goal
                             didn’t really pan out, but I’ll be trying
                             again next month.


    * § Distributions and Operating Systems⠀➾


          o § New Releases⠀➾


                # ⚓ Barry Kauler ☛ EasyOS_Kirkstone-series_version_5.4.5⠀⇛


                       Newcomers are recommended to read the 5.4
                       announcement:


                       https://bkhome.org/news/202306/easyos-kirkstone-
                       series-version-54-released.html


                       Release notes for 5.4.5 here:


                       https://distro.ibiblio.org/easyos/amd64/releases/
                       kirkstone/2023/5.4.5/release-notes.htm


                # ⚓ 9to5Linux ☛ Independent_Distro_KaOS_2023.06_Is_Out_with
                  Linux_6.3,_Latest_KDE_Software⠀⇛


                       KaOS 2023.06 comes a little over two months after
                       the KaOS 2023.04 snapshot, which celebrated the
                       project’s 10th anniversary by offering users a
                       dedicated ISO image with an early preview of the
                       upcoming KDE Plasma 6 desktop environment series.


                       This new ISO release continues this tradition to
                       offer adventurous users a new KDE Plasma 6 preview
                       ISO image. However, once again, the devs warn users
                       that this ISO is not installable as the Calamares
                       graphical installer is not yet ready for Qt 6/
                       Plasma 6 and that there are only a few apps built
                       against the Qt 6 framework.


                       Read on


          o § SUSE/OpenSUSE⠀➾


                # ⚓ Linuxiac ☛ SUSE_with_a_Statement_in_Light_of_Red_Hat’s
                  Recent_Actions⠀⇛


                       SUSE has issued an official statement in response
                       to the growing concern in Open Source circles due
                       to Red Hat’s actions. Here’s what they said.


                # ⚓ Dominique Leuenberger ☛ openSUSE_Tumbleweed_–_Review_of_the
                  week_2023/26⠀⇛


                       Dear Tumbleweed users and hackers,


                       We have just finished week 26, meaning half of the
                       year is over. This week was a ‘super fast’ one for
                       Tumbleweed: in the 7 days since the last review we
                       published 9 snapshots. Go figure! The 9 snapshots
                       covered this week are 0621…0629.


                       The most relevant changes that were delivered
                       during this week were:


                           # IceWM 3.4.0
                           # Node.JS 20.3.1
                           # AppArmor 3.1.6
                           # PHP 8.2.7
                           # firewalls 2.0.0
                           # strace 6.4
                           # transactional-update 4.3.0
                       As you come to expect, staging projects are filled
                       up and the following few things are being worked on
                       and tested: [...]


                # ⚓ Jozef_Mlich:_NemoMobile_in_June/2023⠀⇛


                       During June, NemoMobile made significant strides in
                       its development and community engagement. A talk
                       about NemoMobile was presented at DevConf, allowing
                       attendees to interact with the platform at the
                       mobile Linux stand. A demo showcased the
                       integration of GPS and Bluetooth OBD2. In addition,
                       Michal took the initiative to work on repackaging
                       NemoMobile for openSUSE.


                # ⚓ SUSE’s Corporate Blog ☛ Navigating_Changes_in_the_Open
                  Source_Landscape⠀⇛


                # ⚓ SUSE’s Corporate Blog ☛ It’s_THE_time:_SUSE_doc_survey_2023
                  ‘call_to_action’⠀⇛


                # ⚓ SUSE’s Corporate Blog ☛ Looking_back_and_ahead:_doc_team
                  @SUSECON_2023⠀⇛


                # ⚓ SUSE’s Corporate Blog ☛ SUSECON_Digital_2023:_SUSE_powers
                  RISE_with_SAP⠀⇛


                # ⚓ SUSE’s Corporate Blog ☛ SUSECON_2023_–_It’s_all_about
                  choice⠀⇛


                # ⚓ SUSE’s Corporate Blog ☛ Deploy_&_Configure_NeuVector
                  prometheus-exporter_on_Openshift_4⠀⇛


                # ⚓ SUSE’s Corporate Blog ☛ Reconnecting_and_co-innovating:
                  Reflections_on_SUSECON_2023⠀⇛


          o § Fedora Family / IBM⠀➾


                # ⚓ Make Use Of ☛ Ultramarine_Linux_Is_a_Fedora-Based_Linux
                  Distro_for_Windows_Dropouts⠀⇛


                       Ultramarine Linux 38 is a Fedora-based Linux distro
                       that offers a slew of features and software ideal
                       for Linux newcomers.


                       The developers market Ultramarine Linux 38 as a
                       personal workstation tailor-made for Windows
                       dropouts. If you plan to switch to Linux and want
                       an experience similar to Windows to avoid a culture
                       shock, this may be the distribution for you.


                # ⚓ The Register UK ☛ What_it_takes_to_keep_an_enterprise
                  ‘Frankenkernel’_alive⠀⇛


                       Maintaining the kernel of an enterprise distro is
                       not only hard work, it also involves conflicting
                       goals.


                       A talk by Red Hat Principal Kernel Engineer Jiří
                       Benc at this year’s DevConf.cz event covered some
                       of the inherent contradictions in keeping an
                       enterprise distro’s kernel on its feet. Or at least
                       on somebody – or something’s – feet, as its title
                       hinted: “CentOS Frankenkernel: Append Your Limb.”


                # ⚓ LWN ☛ What_it_takes_to_keep_an_enterprise_‘Frankenkernel’
                  alive_(Register) [Ed: See the comments there...]⠀⇛


                       The Register reports from Jiří Benc’s DevConf.cz
                       talk on the making of the CentOS Stream kernel.


                # ⚓ It’s FOSS ☛ The_Suicide_Attempt_by_Red_Hat_[Opinion]⠀⇛


                       Excuse my tone this time because my heart doesn’t
                       want RHEL to be inaccessible to hobbyists. The free
                       RHEL developer license is just whataboutism and
                       dilutes the enthusiasm felt by the broader
                       hobbyists’ and tinkerers’ community compared to
                       when true RHEL clones existed.


                # ⚓ Michael_Meeks:_2023-06-30_Friday⠀⇛


                           # Also read RedHat_Open_Source_commitment. I
                             have a number of thoughts:
                           # First what we do: Collabora Online source is
                             open – our releases are tags in a public git
                             repo, which we also link from help->about –
                             that helps us support people better, and
                             makes everything super transparent.
                           # But – I have huge sympathy with this
                             sentiment; emphasis mine:
                                  “The generally accepted position
                                  that these free rebuilds are just
                                  funnels churning out RHEL experts
                                  and turning into sales just isn’t
                                  reality. I wish we lived in that
                                  world, but it’s not how it actually
                                  plays out”.


                # ⚓ Fedora Project ☛ Fedora_Community_Blog:_CPE_Weekly_Update_–
                  Week_26_2023⠀⇛


                       This is a weekly report from the CPE (Community
                       Platform Engineering) Team. If you have any
                       questions or feedback, please respond to this
                       report or contact us on #redhat-cpe channel on
                       libera.chat.


                # ⚓ Neowin ☛ Four_years_of_life_added_to_Red_Hat_Enterprise
                  Linux_7_via_ELS⠀⇛


                       Red Hat has announced the RHEL 7 will gain four
                       years of extended support as organizations are
                       saying they need more time to upgrade.
                       Organizations are grappling with the shift to work
                       from home.


          o § Debian Family⠀➾


                # ⚓ 9to5Linux ☛ Peppermint_OS_Is_Now_Based_on_Debian_12,_Here’s
                  What’s_New⠀⇛


                       Apart from including the updated packages from
                       Debian 12, the new Peppermint OS release comes with
                       various improvements and refreshed artwork,
                       including updated branding, a new theme for the
                       Plymouth boot splash screen, as well as new
                       Marawaita themes and Tela icons.


                       On top of that, the Welcome screen and Peppermint
                       Hub have been updated to remove or add new features
                       based on user feedback, Kumo received a simplified
                       GUI and it now uses the Lua programming language,
                       and the neofetch was adjusted to use the basic
                       output without a logo.


          o § Canonical/Ubuntu Family⠀➾


                # ⚓ The Register UK ☛ Linux_Mint_cuts_slice_of_‘Victoria’_as
                  21.2_beta_lands_with_dash_of_fresh_Cinnamon⠀⇛


                       It’s been a while coming, but the beta of Linux
                       Mint 21.2, codenamed “Victoria”, is here with a new
                       version of the Cinnamon desktop among other updated
                       features to enjoy.


                       The news is spread across no fewer than nine pages,
                       with separate announcements, lists of known bugs,
                       and features lists for each desktop. Download links
                       can be found in the respective beta announcement
                       pages.


                # ⚓ Web Pro News ☛ Linux_Distro_Reviews:_Linux_Mint⠀⇛


                       Linux Mint is one of the most heavily recommended
                       Linux distros available, especially for users
                       switching from Windows. Does Linux Mint live up to
                       that reputation? Is it an equally good option for
                       Mac users? How does it stack up for more
                       experienced Linux users?


                       In this entry in our Linux Distro Reviews series,
                       we’re taking a deep dive into Linux Mint and
                       answering those questions.


                # ⚓ Beta News ☛ Ubuntu_Linux-maker_Canonical_unveils_a
                  significant_Snapcraft.io_redesign⠀⇛


                       Today, Ubuntu-maker Canonical announces a
                       comprehensive redesign of its Snapcraft.io
                       platform. The online store, known for its
                       collection of “snaps” — software packages designed
                       for Linux distributions — has taken a major leap
                       forward, moving away from its long-standing user
                       interface and style. The redesign project, which
                       Snapcraft.io embarked upon after numerous years of
                       maintaining a consistent aesthetic, has been
                       executed with the aim of modernizing the overall
                       look and feel of the platform.


                # ⚓ Make Use Of ☛ What_to_Expect_From_Ubuntu_Core_Desktop:_A
                  Snap-Only_Version_of_Ubuntu⠀⇛


                       Starting with Ubuntu 24.04, there will be a version
                       of the desktop constructed entirely of snap
                       packages, also known as snaps. This project is
                       currently known as Ubuntu Core Desktop.


                       But how does using a Snap-only version of the
                       Ubuntu desktop impact you? What changes should you
                       expect, and should you dive in right away or hold
                       on to the traditional Ubuntu desktop a while
                       longer?


          o § Devices/Embedded⠀➾


                # ⚓ Linux Gizmos ☛ Pi-like_SBC_taps_Rockchip_RK3588S_SoC⠀⇛


                       The Indiedroid Nova is a single board computer with
                       the same form factor as the popular Raspberry Pi 4B
                       and powered by the Rockchip RK3588S SoC. This SBC
                       supports up to 16GB of RAM and offers 8K video
                       capability.


                       The Indiedroid Nova is equipped with the Rockchip
                       RK3588S System-on-Chip (SoC) similarly as the
                       NanoPi R6C and the Khadas Edge 2.


                       The latest updates section of the product page
                       mentions that the board supports Armbian, Ubuntu,
                       Debian and it might officially support DietPi in
                       the near future. For more information, refer to the
                       Indiedroid wiki pages.


                # ⚓ CNX Software ☛ Firefly’s_Rockchip_RK3588_SBCs_are_now
                  available_with_32GB_RAM⠀⇛


          o § Open Hardware/Modding⠀➾


                # ⚓ CNX Software ☛ 64-core_RISC-V_motherboard_and_workstation
                  enable_native_RISC-V_development_(Crowdfunding)⠀⇛


                       There’s now a microATX motherboard and workstation
                       for native RISC-V development based on the SOPHON
                       SG2042 64-core RISC-V C920 processor with up to
                       128GB DDR4 memory, various SATA and M.2 NVMe
                       interfaces for storage, three PCIe x16 slot for
                       expansion and more. I remember a few years ago,
                       there was a lot of talk about making a workstation
                       for native Arm development instead of relying on
                       x86 machines, cross-compilation, and emulation. So
                       we got hardware like the HoneyComb LX2K, Ampere
                       eMAG, and more recently the ADLINK Ampere Altra Dev
                       Kit to achieve this goal.


                # ⚓ Tom’s Hardware ☛ Chinese_Researchers_Used_AI_to_Design
                  RISC-V_CPU_in_Under_5_Hours⠀⇛


                       A wholly AI-designed RISC-V CPU was created from
                       scratch in five hours and booted Linux, performing
                       on par with an i486.


          o § Mobile Systems/Mobile Applications⠀➾


                # ⚓ Urgent_warning_for_Android_users_over_apps_that_steal_your
                  bank_details_|_Daily_Mail_Online⠀⇛


                # ⚓ Android Authority ☛ 5_Android_apps_you_shouldn’t_miss_this
                  week_–_Android_Apps_Weekly⠀⇛


                # ⚓ SlashGear ☛ The_5_Best_Dating_Apps_On_Android⠀⇛


                # ⚓ Android Police ☛ 8_new_Android_games_released_June_2023_—
                  from_Shovel_Knight_to_Harry_Potter_Magic_Awakened⠀⇛


                # ⚓ SamMobile ☛ Google_Maps_bug_may_have_become_an_official
                  Android_Auto_feature_–_SamMobile⠀⇛


                # ⚓ Android Central ☛ Android_Auto_finally_ditches_an_annoying
                  restriction_when_using_Google_Maps_|_Android_Central⠀⇛


                # ⚓ SlashGear ☛ How_To_Hide_Apps_On_Your_Android_Phone⠀⇛


                # ⚓ Ghacks ☛ How_to_fix_“app_not_installed”_error_on_Android⠀⇛


                # ⚓ Abhijith_PA:_Running_Debian_on_my_phone⠀⇛


                       You might have already read my blog titled ‘Running
                       PostmarketOS on my phone’. After running pmOS on
                       phone, my mind kept talking “run Debian”. So I
                       started preparing for that.


    * § Free, Libre, and Open Source Software⠀➾


          o § Web Browsers/Web Servers⠀➾


                # ⚓ June_2023_Web_Server_Survey⠀⇛


                       In the June 2023 survey we received responses from
                       1,106,671,903 sites across 255,487,423 domains and
                       12,106,503 web-facing computers. This reflects a
                       loss of 2.7 million sites, 16.0 million domains,
                       and an increase of 69,309 web-facing computers.


                # § Mozilla⠀➾


                      # ⚓ 9to5Linux ☛ Firefox_115_ESR_Is_Here_with_Hardware
                        Video_Decoding_for_Intel_GPUs_on_Linux⠀⇛


                             Apart from being the new ESR series, which
                             will slowly replace the Firefox 102 ESR
                             series, Firefox 115 is here to introduce
                             hardware-accelerated video decoding for Intel
                             GPUs on Linux systems using the Video
                             Acceleration API (VA-API) open-source
                             application programming interface that allows
                             apps to use hardware video acceleration
                             capabilities.


                             Another cool new feature for Linux users in
                             the Firefox 115 release is the ability to
                             open links or search for text that has been
                             copied on your clipboard by middle-clicking
                             on the New Tab button. This is a productivity
                             feature as you no longer have to open a new
                             tab and paste the copied text or link you
                             want to search/open.


          o § SaaS/Back End/Databases⠀➾


                # ⚓ PostgreSQL ☛ PostgreSQL_16_Beta_2_Released!⠀⇛


                       The PostgreSQL Global Development Group announces
                       that the second beta release of
                       PostgreSQL 16 is now available_for_download.
                       This release contains previews of all features that
                       will be available when
                       PostgreSQL 16 is made generally available, though
                       some details of the release
                       can change during the beta period.


                # ⚓ OSI Blog ☛ Open_Source_shaking_up_document_databases,
                  setting_new_standards⠀⇛


                       The founders of FerretDB, an Open Source document
                       database using PostgreSQL as the database backend,
                       is working with different stakeholders on
                       developing a standard for document databases, the
                       same way as SQL was created as a standard for
                       relational databases in the 1980s, with the
                       objective of reducing the risk of vendor lock-in
                       for users.


          o § Programming/Development⠀➾


                # ⚓ SCM/CI_Workflow_Versions._Making_Larger_Changes_Less
                  Painful_For_You.⠀⇛


                       Today we’re going to explain the versioning system
                       we’re using to release new features to the SCM/CI
                       integration. Versioning the Workflow Configuration
                       We are introducing the versioning as a way to
                       release new features in the SCM/CI without breaking
                       existing user’s configuration. Those features are
                       going to be released under a MAJOR.MINOR version
                       scheme.


                # ⚓ Paul_Wise:_FLOSS_Activities_June_2023⠀⇛


                # ⚓ Storage_APIs:_Libblockdev_3.0⠀⇛


                       § Statistics


                       We started working on libblockdev 3.0 nearly four
                       years ago and definitely thought it would be ready
                       way sooner than now. The difference between 3.0 and
                       our legacy 2.x-branch is 997 commits and 205 files
                       changed with 29382 insertions(+) and 17565
                       deletions(-).


                       Many thanks to all contributors that made this
                       release possible.


                       And now I guess I should start working on
                       libblockdev 4. See you in a few years.


                # § Python⠀➾


                      # ⚓ Linux Hint ☛ Python_infinity_representation⠀⇛


                             The “math.inf”, “np.inf”, “float()” function,
                             and “decimal” modules are utilized to
                             represent positive and negative infinity
                             values in Python.


                # § Shell/Bash/Zsh/Ksh⠀➾


                      # ⚓ TecAdmin ☛ How_to_Escape_Single_Quotes_in_Bash⠀⇛


                             Bash scripting is a crucial skill for
                             developers, system administrators, and anyone
                             else who needs to automate tasks on Unix or
                             Linux systems. Occasionally, you’ll need to
                             use a single quote (‘) within a string in a
                             bash script.


                      # ⚓ Make Tech Easier ☛ PowerShell_vs._Bash:_Key
                        Differences_to_Know_About [Ed: One is controlled by a
                        company that attacks Linux, one is not]⠀⇛


                      # ⚓ TecAdmin ☛ How_to_Escape_Special_Characters_in_Bash⠀⇛


                             Bash, short for Bourne Again SHell, is the
                             default command-line interpreter for many
                             Linux distributions and MacOS. It provides a
                             way for users to interact with these
                             operating systems by executing commands.
                             However, bash also includes a number of
                             special characters that have unique meanings.


          o § Standards/Consortia⠀➾


                # ⚓ Atom_Feed_Format_Was_Born_20_Years_Ago_|_RSS_Advisory
                  Board⠀⇛


                       This month marks the 20th anniversary of the effort
                       that became the Atom feed format. It all began on
                       June 16, 2003,


    * § Leftovers⠀➾


          o § Science⠀➾


                # ⚓ Science Alert ☛ High-Energy_Neutrinos_From_Inside_Our_Own
                  Galaxy_Hint_at_The_Origin_of_Cosmic_Rays⠀⇛


                       For the first time we’re seeing the Milky Way in
                       ghost vision.


          o § Health/Nutrition/Agriculture⠀➾


                # ⚓ Undermining_the_childhood_vaccine_schedule_with_EBM
                  fundamentalism⠀⇛


                       When last we encountered evidence-based medicine
                       (EBM) maven and critic of oncology clinical trials
                       and FDA licensure of chemotherapeutic agents turned
                       COVID-19 contrarian, antimasker, and anti-COVID
                       vaccine advocate Dr. Vinay Prasad, he was defending
                       longtime antivax activist Robert F. Kennedy, Jr.,
                       saying, in essence, that he agrees with most of of
                       RFK Jr.‘s positions, especially about big pharma,
                       regulatory capture, and and corruption other than
                       his peskily embarrassing (to him) belief that
                       childhood vaccines cause autism. (That, and he was
                       also denying yet again that he was antivaccine.) As
                       you might recall, what struck me about Dr. Prasad’s
                       post was how much he bent over backwards to portray
                       RFK Jr. as “reasonable” other than a couple of
                       bizarre ideas—his pesky adherence to the the
                       discredited idea that vaccines cause autism
                       again!—even someone as someone who could be
                       persuaded that, for instance, vaccines don’t cause
                       autism and the birth dose of the hepatitis B
                       vaccine is safe with some well-designed placebo-
                       controlled clinical trials and an expanded vaccine
                       safety monitoring system.


                # ⚓ JURIST ☛ France_Senate_passes_legislation_requiring_age
                  verification_for_minors_on_social_media⠀⇛


                       The French Senate approved new legislation on
                       Thursday requiring social media platforms such as
                       TikTok and Instagram to implement mandatory age
                       verification systems and obtain explicit parental
                       consent for users aged 15 and below. The move comes
                       amid a growing international crackdown on the
                       platforms lack of privacy protections for users.


          o § Proprietary/Artificial Intelligence (AI)⠀➾


                # ⚓ Ransomware_gang_Akira_adds_malware_targeting_Linux_to_its
                  arsenal [Ed: Notice how they’re using the logo of ‘Linux’
                  (Microsoft) Foundation in an actual article about “Linux”,
                  basically talking about an issue in proprietary VMware; this
                  is either satire or deeply incompetent “media”]⠀⇛


                # ⚓ PR Newswire ☛ The_Linux_Foundation_Announces_Schedule_for
                  Open_Source_Summit_Europe_2023 [Ed: "Europe" highlights
                  including Microsoft, a company that's attacking Linux]⠀⇛


                # ⚓ EIN Presswire ☛ SRT_Announces_Linux_Versions_of_Managed
                  File_Transfer_Solution_in_AWS_Marketplace⠀⇛


                # § Windows TCO⠀➾


                      # ⚓ IT Wire ☛ TSMC_hardware_supplier_hit_by_LockBit,
                        group_demands_US$70m_as_ransom⠀⇛


                             Additionally, the ransomware group said it
                             would delay the data leak by 24 hours if it
                             were paid US$5000.


                             Commenting on the incident, Lior Yaari, chief
                             executive and co-founder of Grip Security, an
                             Israeli cyber security start-up that provides
                             SaaS visibility, governance and data
                             security, said: “This breach is a great
                             example of why machine identities are just as
                             important as employee identities. Data is
                             everywhere and accessed from anywhere by
                             anybody.


                             “Companies which are able to secure employee
                             and machine identities will be more secure
                             than those that cannot.


                             “The securing of identities beyond the
                             enterprise border to your suppliers or
                             partners is increasingly important.


                      # ⚓ Security Week ☛ TSMC_Says_Supplier_Hacked_After
                        Ransomware_Group_Claims_Attack_on_Chip_Giant⠀⇛


                             LockBit ransomware group claims to have
                             hacked TSMC and is asking for a $70 million
                             ransom, but the chip giant says only a
                             supplier was breached.


                      # ⚓ Security Week ☛ In_Other_News:_Hospital_Infected_via
                        USB_Drive,_EU_Cybersecurity_Rules,_Free_Security
                        Tools⠀⇛


                             Weekly cybersecurity news roundup that
                             provides a summary of noteworthy stories that
                             might have slipped under the radar for the
                             week of June 26, 2023.


          o § Security⠀➾


                # ⚓ LWN ☛ Security_updates_for_Friday_[LWN.net]⠀⇛


                       Security updates have been issued by Debian
                       (docker-registry, flask, systemd, and
                       trafficserver), Fedora (moodle, python-reportlab,
                       suricata, and vim), Red Hat (go-toolset and golang,
                       go-toolset-1.19 and go-toolset-1.19-golang, go-
                       toolset:rhel8, open-vm-tools, python27:2.7, and
                       python3), SUSE (buildah, chromium, gifsicle,
                       libjxl, sqlite3, and xonotic), and Ubuntu (linux,
                       linux-allwinner, linux-allwinner-5.19, linux-aws,
                       linux-aws-5.19, linux-azure, linux-gcp, linux-gcp-
                       5.19, linux-hwe-5.19, linux-ibm, linux-kvm, linux-
                       lowlatency, linux-oracle, linux-raspi, linux-
                       starfive, linux-starfive-5.19, linux, linux-aws,
                       linux-aws-5.15, linux-aws-5.4, linux-azure, linux-
                       azure-5.15, linux-azure-5.4, linux-azure-fde-5.15,
                       linux-bluefield, linux-gcp, linux-gcp-5.15, linux-
                       gcp-5.4, linux-gke, linux-gke-5.15, linux-gkeop,
                       linux-gkeop-5.15, linux-hwe-5.15, linux-hwe-5.4,
                       linux-ibm, linux-ibm-5.4, linux-kvm, linux-
                       lowlatency, linux-lowlatency-hwe-5.15, linux-
                       nvidia, linux-oracle, linux-oracle-5.15, linux-
                       oracle-5.4, linux-raspi, linux-raspi-5.4, and
                       linux-oem-6.1).


                # ⚓ Mountain_View_Hospital_restores_clinical_functions;_culprit
                  behind_cyberattack_still_unknown⠀⇛


                       An area hospital has been working for over a month
                       now to resolve a cyberattack and progress is being
                       made.


                       Mountain View Hospital has managed to restore
                       clinical functions for itself, Idaho Falls
                       Community Hospital and its partner clinics. The IT
                       team and other cybersecurity experts have now
                       turned their attention to administrative functions.


                       Even though much of the hospital’s functions have
                       returned, it’s not clear when all operations will
                       be fully restored following the cyberattack.


                # ⚓ CNN ☛ At_least_100,000_could_have_had_data_exposed_after_US
                  health_department_was_hit_by_global_MOVEit_cyberattack [Ed:
                  Windows TCO]⠀⇛


                       At least 100,000 people could have had their data
                       compromised by a hack of contractors at the
                       Department of Health and Human Services, a
                       department official said Thursday, making it the
                       latest US government agency to be caught up in a
                       sweeping cyberattack connected to Russian
                       cybercriminals.


                       HHS notified Congress of the breach on Tuesday and
                       will update lawmakers as the investigation
                       continues, the official said. Agencies are required
                       to notify Congress of a data breach that involves
                       the compromise of personal information of 100,000
                       or more people.


                # ⚓ Data Breaches ☛ Breach_of_the_Protection_Obligation_by
                  Fullerton_Healthcare_and_Agape_CP_Holdings⠀⇛


                       Details of the 2021 breach that resulted in data
                       being sold on a marketplace are included in the
                       regulator’s decision. It reports that the breach
                       involved Agape’s Online Drive and not FHG’s system.
                       The personal data of 156,900 FHG customers (133,866
                       direct patients and 23,034 employees of FHG’s
                       corporate clients) was accessed without
                       authorization in the Incident, although the exact
                       volume of exfiltrated personal data was unknown.


                # ⚓ Wells_Notice_Against_SolarWinds_CISO_Could_Be_First_of_Its
                  Kind⠀⇛


                       SolarWinds Corporation, which suffered a major
                       breach of its Orion software platform in December
                       2020, submitted a U.S. Securities and Exchange
                       Commission (SEC) filing on June 23rd, saying the
                       enforcement staff of the SEC provided the company
                       with a Wells Notice related to its investigation
                       into the cyber incident.


                       A Wells Notice is a letter the SEC generally issues
                       to organizations or individuals when it is planning
                       to take action against them.


                # ⚓ Data Breaches ☛ I_had_been_chatting_with_a_blackhat._They
                  had_been_working_with_a_whitehat._We_were_both_dealing_with
                  the_same_person.⠀⇛


                       On April 18, DataBreaches reported that more
                       details had emerged on the arrest of three men by
                       Dutch police in January. The three were suspected
                       of hacking and extorting victims in the Netherlands
                       and elsewhere, obtaining and selling data online,
                       and money laundering. A fourth person linked to the
                       suspects known as “DataBox” had previously been
                       arrested in November 2022 and had been detained
                       with restrictions until the arrest of the other
                       three in January. DataBox, whose real name is Erkan
                       Sezgin, has subsequently been sentenced in a
                       separate case, and may be facing other charges in
                       connection with alleged crimes by the others.


                # ⚓ MJH Life Sciences ☛ Paying_the_ransom:_Hospitals_face_hard
                  choices_in_cyberattacks_|_Special_Report⠀⇛


                       It’s the gut-wrenching question many hospital
                       leaders have faced as healthcare systems have
                       endured scores of ransomware attacks in recent
                       years.


                       Large health systems, including CommonSpirit
                       Health, have encountered ransomware attacks, but
                       experts say smaller hospitals and systems are
                       increasingly at risk.


                # ⚓ VLC_DoS,_Remote_Code_Execution_Vulns_Fixed⠀⇛


                       Multiple remotely exploitable denial of service
                       (DoS) and code execution vulnerabilities have been
                       found in the VLC multimedia player and streamer.
                       These bugs have been classified as ”high-severity”
                       by the National Vulnerability Database due to their
                       high confidentiality, integrity and availability
                       impact.


                # ⚓ CVE-2023-36617:_ReDoS_vulnerability_in_URI⠀⇛


                       We have released the uri gem version 0.12.2, 0.10.3
                       that has a security fix for a ReDoS vulnerability.


                       This vulnerability has been assigned the CVE
                       identifier CVE-2023-36617.


                # ⚓ Hacker News ☛ Critical_SQL_Injection_Flaws_Expose_Gentoo
                  Soko_to_Remote_Code_Execution⠀⇛


                       Multiple SQL injection vulnerabilities have been
                       disclosed in Gentoo Soko that could lead to remote
                       code execution (RCE) on vulnerable systems. “These
                       SQL injections happened despite the use of an
                       Object-Relational Mapping (ORM) library and
                       prepared statements,” SonarSource researcher Thomas
                       Chauchefoin said , adding they could result in RCE
                       on Soko because of a “misconfiguration of the
                       database.”


                # ⚓ TechRadar ☛ There’s_Now_a_Linux_Version_of_This_Dangerous
                  VMware_Ransomware [Ed: Microsoft-connected clickbait and FUD
                  sites trying to blame "Linux" for proprietary VMware
                  issues]⠀⇛


                       A ransomware operation known as Akira has been seen
                       encrypting VMware ESXi virtual machines using a
                       Linux encryptor after a couple of months of
                       targeting Windows systems.


                # ⚓ Scoop News Group ☛ CISA_election_security_lead_Kim_Wyman_to
                  leave_agency⠀⇛


                       Wyman, who previously served as Washington state’s
                       top election official, will step down as CISA’s top
                       election security adviser.


                # ⚓ Scoop News Group ☛ Russian_telecom_confirms_hack_after
                  group_backing_Wagner_boasted_about_an_attack⠀⇛


                       A Dozor-Teleport CJSC executive told ComNews that
                       the company has been the victim of a cyberattack
                       affecting its cloud infrastructure.


                # ⚓ Security Week ☛ 200,000_WordPress_Sites_Exposed_to_Attacks
                  Exploiting_Flaw_in_‘Ultimate_Member’_Plugin⠀⇛


                       Attackers exploit critical vulnerability in the
                       Ultimate Member plugin to create administrative
                       accounts on WordPress websites.


                # ⚓ Security Week ☛ Proton_Launches_Open_Source_Password
                  Manager⠀⇛


                       Proton makes its open source Proton Pass password
                       manager globally available for major browsers and
                       mobile devices.


                # ⚓ SANS ☛ Sandfly_Security,_(Sat,_Jul_1st)⠀⇛


                       Agentless Linux security with unmatched speed and
                       reliability


                # ⚓ Security Week ☛ Samsung_Phone_Flaws_Added_to_CISA_‘Must
                  Patch’_List_Likely_Exploited_by_Spyware_Vendor⠀⇛


                       CISA adds 6 Samsung mobile device flaws to its
                       known exploited vulnerabilities catalog and they
                       have likely been exploited by a spyware vendor.


                # § Privacy/Surveillance⠀➾


                      # ⚓ Bruce Schneier ☛ The_US_Is_Spying_on_the_UN_Secretary
                        General⠀⇛


                             The Washington Post is reporting that the US
                             is spying on the UN Secretary General.


                                  The reports on Guterres appear to
                                  contain the secretary general’s
                                  personal conversations with aides
                                  regarding diplomatic encounters.
                                  They indicate that the United
                                  States relied on spying powers
                                  granted under the Foreign
                                  Intelligence Surveillance Act
                                  (FISA) to gather the intercepts.


                             Lots of details about different conversations
                             in the article, which are based on classified
                             documents leaked on Discord by Jack Teixeira.


                      # ⚓ ACLU ☛ The_ACLU_is_Committed_to_Protecting_Your
                        Personal_Information⠀⇛


                             Privacy laws serve as vital guardrails
                             against the potential abuse of personal
                             information in an increasingly interconnected
                             world. As a nationwide organization dedicated
                             to defending civil liberties, the American
                             Civil Liberties Union (ACLU) recognizes the
                             paramount importance of privacy in today’s
                             digital age, and we firmly believe that
                             transparency and accountability are necessary
                             to protect all of our rights to privacy.


                             Right now, Americans risk being tracked and
                             surveilled without any notice every time we
                             open an app, walk into a store carrying a
                             phone, or do an online search. As Congress
                             works to draft a comprehensive privacy law,
                             states are trying to fill that critical gap
                             by passing their own privacy legislation. In
                             response to this evolving landscape of
                             privacy laws, including the new Colorado
                             Privacy Act that goes into effect on July 1,
                             the ACLU has developed an updated and
                             comprehensive privacy_policy to adhere to the
                             values we hold dear.


                      # ⚓ Axios ☛ Futuristic_airports_are_coming:_AI_facial
                        recognition,_biometric_scanners⠀⇛


                             Airports are slated to become more seamless
                             and efficient, a new report finds, even as
                             they get busier and larger to meet growing
                             demand.


          o § Defence/Aggression⠀➾


                # ⚓ RFERL ☛ Two_Security_Personnel_Killed_After_Man_Opens_Fire
                  At_Moldova’s_Chisinau_Airport⠀⇛


                       Two security forces members were killed when a man
                       opened fire at Chisinau International Airport in
                       Moldova after he was denied entry into the small
                       southeastern European nation, authorities said on
                       June 30.


                # ⚓ RFERL ☛ Tajik_Man_Who_Allegedly_Shot_Two_At_Moldova_Airport
                  Is_Wanted_In_Kidnapping_Case_In_Tajikistan⠀⇛


                       A Tajik national who allegedly fatally shot two
                       security officers at Moldova’s main international
                       airport is wanted in his native country in relation
                       to the kidnapping of a local bank official, Tajik
                       authorities said.


                # ⚓ Defence Web ☛ Piracy_in_West_Africa_dropped_in_2022,_but
                  criminals_are_moving_elsewhere⠀⇛


                       Piracy and maritime crime continued to decline in
                       the Gulf of Guinea last year, largely in response
                       to heightened regional and international anti-
                       piracy efforts, but this has pushed pirates into
                       other criminal enterprises, such as oil theft and
                       drug trafficking.


                # ⚓ teleSUR ☛ UNSC_Renews_Mandate_of_UN_Disengagement_Observer
                  Force⠀⇛


                       The UN Security Council called on the parties to
                       exercise maximum restraint and prevent any breaches
                       of the ceasefire and the area of separation.


                # ⚓ JURIST ☛ China_enacts_international_relations_legislation
                  in_effort_to_deter_sanctions⠀⇛


                       China enacted legislation on Wednesday pertaining
                       to international relations and strengthening its
                       ability to impose “countermeasures” against foreign
                       actors. The new law aims to deter sanctions against
                       the nation and includes provisions outlining
                       retaliatory measures against actions that could
                       undermine China’s independence and national
                       security.


                # ⚓ RFA ☛ Cambodia’s_Hun_Sen_orders_troops_to_border_regions_to
                  hunt_down_drones⠀⇛


                       Vietnam denies it sent drones and critics see move
                       as attempt to rally voters ahead of July 23
                       election.


                # ⚓ teleSUR ☛ Moscow_Warns_of_New_Western_Colonialism
                  Threatening_Africa⠀⇛


                       Traditional bonds of friendship unite Russia and
                       Africa.


                # ⚓ teleSUR ☛ TV_BRICS_to_Organize_a_Global_Media_Tour_in
                  Russia⠀⇛


                       Journalists from Brazil, India, China, South
                       Africa, Zimbabwe and Mozambique will visit the
                       Eurasian country to learn how their Russian
                       colleagues work.


                # ⚓ France24 ☛ Sudan_conflict:_Two_videos_expose_rapes
                  allegedly_carried_out_by_Rapid_Support_Forces⠀⇛


                       Since the conflict in Sudan broke out in April,
                       hundreds of rapes have been reported by civilians
                       and NGOs, with women from ethnic minorities being
                       particularly targeted. In mid-June, two extremely
                       shocking videos emerged of rapes being carried out
                       in North Khartoum. Our Observers condemn the
                       systemic use of sexual violence in Darfur, where
                       ethnic tensions are rife.


                # ⚓ Defence Web ☛ ISS:_Prigozhin’s_rebellion_throws_Wagner’s
                  African_future_into_doubt⠀⇛


                       The brazen but brief rebellion that Wagner boss
                       Yevgeny Prigozhin launched in Russia at the
                       weekend, and the deal he cut with Russian President
                       Vladimir Putin to end it, clearly have large
                       implications for Wagner in Africa. What these are,
                       however, is harder to say.


                # ⚓ France24 ☛ UN_Security_Council_votes_to_end_Mali
                  peacekeeping_mission⠀⇛


                       The UN Security Council on Friday ended a decade-
                       old peacekeeping mission in Mali, whose military
                       junta has aligned with Russia and demanded the
                       withdrawal of the international force battling
                       jihadists.


                # ⚓ RFERL ☛ Japan_Says_Russian_Warships_Spotted_Near_Taiwan,
                  Okinawa_Islands⠀⇛


                       Japan’s Defense Ministry said late on June 30 that
                       it had spotted two Russian Navy ships in the waters
                       near Taiwan and Japan’s Okinawa islands in the
                       previous four days.


                # ⚓ The Straits Times ☛ Japan_says_Russian_warships_spotted
                  near_Taiwan,_Okinawa_islands⠀⇛


                       July 01, 2023 1:20 PM


                       Japan said it dispatched two vessels to monitor the
                       Russian ships.


                # ⚓ RFERL ☛ Russia_Declares_Rocker_Grebenschikov,_Former_Rabbi,
                  And_Others_‘Foreign_Agents’⠀⇛


                       Russia’s Justice Ministry has declared veteran rock
                       musician Boris Grebenshchikov, who currently
                       resides outside of Russia, a “foreign agent.”


                # § War in Ukraine⠀➾


                      # ⚓ New Yorker ☛ Beyoncé_on_Tour,_and_Russia’s_No-Good,
                        Very_Failed_Coup⠀⇛


                             Masha Gessen and Joshua Yaffa on the
                             aftermath of the “coup” by the Wagner Group
                             leader, and what lies ahead for Vladimir
                             Putin. Plus, Carrie Battan on the summer’s
                             hottest ticket.


                      # ⚓ YLE ☛ Heidi_Hautala_joins_Greta_Thunberg_on_Kyiv
                        trip⠀⇛


                             The visit’s purpose was to discuss damage to
                             the environment caused by the Russian
                             invasion.


                      # ⚓ CS Monitor ☛ Why_Russia_crisis_requires_US_vigilance
                        –_and_an_eye_for_opportunity⠀⇛


                             Russia’s internal crisis creates a period of
                             uncertainty that could affect events beyond
                             Russia’s borders. The challenge for the U.S.:
                             to balance its concerns with an openness to
                             military and diplomatic opportunities.


                      # ⚓ New York Times ☛ What_Does_Russia’s_Wagner_Rebellion
                        Mean_for_China?⠀⇛


                             Xi Jinping needs Vladimir Putin to remain in
                             power, and Russia to maintain stability, to
                             help uphold the countries’ shared interests
                             and to keep challenging the United States.


                      # ⚓ Meduza ☛ Rostov_governor_calls_reports_of_residents
                        welcoming_Wagner_Group_fighters_during_rebellion_a
                        ‘deliberate_story’_pushed_by_mercenaries_—_Meduza⠀⇛


                             Vasily Golubev, the governor of Russia’s
                             Rostov region, whose capital city was briefly
                             captured by Wagner Group forces on June 24,
                             said Friday that he’s skeptical of reports
                             that city residents supported the
                             mercenaries.


                      # ⚓ Insight Hungary ☛ Putin_is_not_a_war_criminal,
                        Hungarian_PM_says⠀⇛


                             Russian President Vladimir Putin’s handling
                             of a rebellion shows he remains firmly in
                             control, Hungarian PM Viktor Orban told Axel
                             Springer (Bild) in a rare interview. “When it
                             is managed in 24 hours, it’s a signal of
                             being strong,” Orban added.  


                             The Hungarian nationalist leader was
                             referring to the Wagner paramilitary group’s
                             recent rebellion, but he says he did not “see
                             any major importance to that event.”  Orban,
                             who has been criticized for his close ties
                             with Putin said, “Russia operates differently
                             than we do. But the structures in Russia are
                             very stable. It’s based on the army, secret
                             service, and police. It’s a military-
                             oriented, minded country.”


                      # ⚓ RFERL ☛ Lukashenka_Urges_Belarusians_To_‘Calm_Down’
                        Over_Wagner_Arrivals,_As_Tent_Camp_Springs_Up_In
                        Belarus⠀⇛


                             Belarus’s internationally isolated leader
                             Alyaksandr Lukashenka has urged Belarusians
                             not to “worry” about the presumed arrival of
                             Wagner mercenaries after their aborted mutiny
                             in Russia, as satellite imagery emerged of a
                             tent camp springing up in the east.


                      # ⚓ New York Times ☛ CIA_Director_Called_Russia_to_Make
                        Clear_That_U.S._Had_No_Tie_to_Wagner_Rebellion⠀⇛


                             The Biden administration has taken pains to
                             emphasize that it viewed the matter as an
                             internal Russian affair.


                      # ⚓ New York Times ☛ Mutiny_Provided_Glimpse_of_a_Post-
                        Putin_Russia._Is_the_Window_Still_Open?⠀⇛


                             Yevgeny Prigozhin’s revolt showed the
                             possibility of a Russia after Vladimir Putin
                             — and how pro-democracy forces may not be the
                             ones that take over.


                      # ⚓ Scheerpost ☛ Ray_McGovern:_Russia’s_‘Coup’_Is
                        Actually_Biden’s_Disaster⠀⇛


                             The former CIA analyst dives into the
                             complexities of assessing a country like
                             Russia within the US government as he did
                             briefing seven U.S. presidents.


                      # ⚓ New York Times ☛ In_a_Mutiny_or_Coup,_the_Scramble_to
                        Persuade_and_Pick_a_Side_Is_Critical⠀⇛


                             Experts say plotters’ most crucial task is to
                             convince other soldiers and officers that
                             success is assured. Plus, our columnist’s
                             recommendations for reading up on coups, and
                             modern Russia.


                      # ⚓ New York Times ☛ Yevgeny_Prigozhin,_the_Honest(ish)
                        Russian_Warlord⠀⇛


                             Now that Yevgeny Prigozhin has left the
                             battlefield, who will tell Russians the
                             truth?


                      # ⚓ RFERL ☛ CIA_Director_Called_Kremlin_To_Assure_U.S.
                        Had_No_Role_In_Aborted_Mutiny,_Newspapers_Report⠀⇛


                             CIA Director William Burns called Russian spy
                             chief Sergei Naryshkin after last week’s
                             aborted mutiny in Russia to assure the
                             Kremlin that the United States had no role in
                             it, The New York Times and the Wall Street
                             Journal reported.


                      # ⚓ France24 ☛ Ukraine_to_reinforce_northern_front
                        following_Wagner_Group’s_arrival_in_Belarus⠀⇛


                             President Volodymyr Zelensky ordered top
                             military commanders on Friday to
                             strengthen Ukraine’s northern military sector
                             following the arrival of Russian mercenary
                             leader Yevgeny Prigozhin and his Wagner Group
                             fighters in Belarus. Russian Foreign Minister
                             Sergei Lavrov said that Moscow would emerge
                             from the aftermath of the Wagner mercenary
                             group’s aborted rebellion “stronger” than
                             before.


                      # ⚓ JURIST ☛ HRW:_new_evidence_reveals_Ukraine_used
                        banned_landmines_in_Russia_conflict⠀⇛


                             Human Rights Watch (HRW) announced Friday
                             they uncovered new evidence that Ukraine used
                             banned landmines and other illegal artillery
                             against Russian troops. In a news release
                             published on their website, HRW reported that
                             they found artillery rockets that they allege
                             are Ukrainian.


                      # ⚓ RFERL ☛ Russian_Media_Watchdog_Blocks_Websites_Linked
                        To_Wagner_Leader_Prigozhin⠀⇛


                             Russia’s media watchdog Roskomnadzor has
                             blocked the websites of RIA FAN, Politics
                             Today, Economy Today, Neva News, and People’s
                             News online media outlets for their ties to
                             the rebellious leader of the Wagner mercenary
                             group, Yevgeny Prigozhin, after his aborted
                             armed march to Moscow last week.


                      # ⚓ RFERL ☛ Russian_Activist_Gets_Prison_Term_For
                        Throwing_Molotov_Cocktails_At_Recruitment_Center⠀⇛


                             A court in the Russian city of Yekaterinburg
                             on June 30 sentenced antiwar activist Aleksei
                             Gashev to 10 years in prison for throwing
                             Molotov cocktails at a military recruitment
                             center in the city of Perm last year with his
                             colleague Mikhail Sokolov.


                      # ⚓ RFERL ☛ Norwegian_Court_Cancels_Acquittal_Of_Son_Of
                        Putin_Confidant_Yakunin⠀⇛


                             The Supreme Court of Norway has canceled the
                             acquittal of Andrei Yakunin, the son of one
                             of Russian President Vladimir Putin’s
                             longtime confidants, who was found not guilty
                             in December of violating a Norwegian law that
                             bars Russian citizens from flying drones in
                             the country.


                      # ⚓ LRT ☛ Lithuania_draws_up_three-year_plan_to_support
                        Ukraine’s_army_–_minister⠀⇛


                             Lithuanian Defence Minister Arvydas
                             Anušauskas, who is in Ukraine right now, has
                             briefed his Ukrainian counterpart Oleksii
                             Reznikov on Lithuania’s long-term plan to
                             support the Ukrainian army and informed him
                             about the latest support package.


                      # ⚓ LRT ☛ Zelensky_won’t_attend_Vilnius_summit_without
                        invitation_to_start_NATO_accession_–_advisor⠀⇛


                             Ukrainian President Volodymyr Zelensky will
                             not attend the Vilnius NATO Summit if leaders
                             do not show “courage” to start Ukraine’s
                             accession process, his chief diplomatic
                             advisor has said.


                      # ⚓ RFERL ☛ Belarus_Leader_Says_He’s_‘Certain’_Nuclear
                        Arms_Will_Not_Be_Used⠀⇛


                             Belarusian leader Alyaksandr Lukashenka, the
                             Kremlin’s staunchest ally in its war in
                             Ukraine, said on June 30 that he was certain
                             Russian tactical nuclear weapons deployed in
                             his country would never be used.


                      # ⚓ RFERL ☛ Ukraine_Joining_NATO_Is_‘The_Road_To_Peace’
                        In_Europe,_Says_Ukrainian_Foreign_Minister⠀⇛


                             Ukraine’s top diplomat said Kyiv is fighting
                             long-lasting prejudices and misunderstandings
                             about the consequences of his war-torn
                             country joining NATO — and criticized
                             Germany’s former Chancellor Angela Merkel for
                             blocking a membership bid 15 years ago.


                      # ⚓ RFERL ☛ Ukraine_Battles_Blaze_On_Amid_U.S._Report_Of
                        Kyiv_Press_Toward_Cease-Fire_Talks_‘By_End_Of_Year’⠀⇛


                             Russian and Ukrainian forces were battling
                             throughout eastern and southern Ukraine as
                             Kyiv asserted a possible shift in the
                             strategic balance, while a U.S. report hinted
                             at Ukrainian hopes for a possible endgame
                             that could lead to peace talks in the 15-
                             month-old full-scale Russian invasion.


                      # ⚓ teleSUR ☛ Russia_Sees_No_Reason_to_Prolong_Brack_Sea
                        Grain_Deal⠀⇛


                             FM Lavrov explained that only 2.5 percent of
                             over 32.5 million tons of Ukrainian grain
                             have been exported to countries in need.


                      # ⚓ The Atlantic ☛ The_Children_Russia_Kidnapped⠀⇛


                             First they were spirited off to camps, or
                             evacuated from cities under siege. Then they
                             were made into Russians without history or
                             provenance.


                      # ⚓ New York Times ☛ Ukraine_Says_It_Is_Ready_for_Arrival
                        of_Wagner_Troops_in_Belarus⠀⇛


                             Ukrainian officials have tried to tamp down
                             concerns while heralding their preparations,
                             with President Volodymyr Zelensky nodding to
                             plans for reinforcing the border.


                      # ⚓ New York Times ☛ Avdiivka,_Ukraine,_Is_a_Ghost_Town.
                        But_Some_Refuse_to_Leave.⠀⇛


                             Avdiivka, Ukraine, once had a prewar
                             population of about 30,000. By March, only
                             around 1,700 people remained.


                      # ⚓ New York Times ☛ Russia_Dismisses_Rebellion_as
                        ‘Minor’_and_Dismantles_Prigozhin’s_Wagner_Empire⠀⇛


                             Foreign Minister Sergei V. Lavrov of Russia
                             warned the Western countries helping Ukraine
                             not to think that the Wagner group’s mutiny
                             had undermined Moscow’s power.


                      # ⚓ Scheerpost ☛ ‘Why_Are_We_Tempting_Nuclear
                        Annihilation?’_Max_Blumenthal_Addresses_UN_Security
                        Council⠀⇛


                             The Grayzone’s Max Blumenthal addressed the
                             UN Security Council on the role of US
                             military aid to Ukraine in escalating the
                             conflict with Russia and the real motives
                             behind Washington’s support for Kiev’s proxy
                             war.


                      # ⚓ Meduza ☛ Russia’s_Justice_Ministry_adds_lead_singer
                        of_rock_group_Aquarium_and_news_outlet_Bumaga_to_list
                        of_‘foreign_agents’_—_Meduza⠀⇛


                             Russia’s Justice Ministry has added Boris
                             Grebenshchikov, the lead singer of the rock
                             group Aquarium, to its list of “foreign
                             agents.” The Justice Ministry said
                             Grebenshchikov was included for performing
                             concerts abroad “in order to provide
                             financial aid to Ukraine,” and for voicing
                             his opposition to Russia’s war in Ukraine.
                             The ministry also said that the musician
                             receives foreign sources of funding.


                      # ⚓ Latvia ☛ One_detained_for_banned_Russian_channel
                        distribution_in_Latvia⠀⇛


                             The State Police in Rīga detained a man who
                             distributed devices intended for the
                             retransmission of banned Russian television
                             channels, the police said on June 30.


                      # ⚓ Atlantic Council ☛ Russian_War_Report:_Kremlin_denies
                        that_it_targeted_civilians_in_a_missile_attack_on_a
                        pizza_restaurant⠀⇛


                             A deadly Russian missile strike on a cafe in
                             Kramatorsk leaves a dozen dead and more
                             injured. Post-mutiny, Wagner’s future in
                             Africa is up in the air.


                      # ⚓ Meduza ☛ ’Nothing_has_changed.’_Wagner_Group_still
                        recruiting_fighters_throughout_Russia_for_war_against
                        Ukraine._—_Meduza⠀⇛


                             Nearly a week after the Wagner Group
                             rebellion led by Yevgeny Prigozhin, the
                             paramilitary group is continuing to recruit
                             fighters to join the war against Ukraine, BBC
                             News Russia reported on Friday. And according
                             to journalists who called the company’s
                             recruitment hotlines, new members sign
                             contracts with Wagner Group itself, not with
                             the Russian Defense Ministry.


                      # ⚓ Meduza ☛ ‘We_want_to_live_near_the_sea’_Russians_are
                        buying_real_estate_in_occupied_Mariupol,_where_invading
                        forces_destroyed_nearly_everything_last_year_—_Meduza⠀⇛


                             After launching its full-scale invasion of
                             Ukraine, the Russian army effectively leveled
                             the city of Mariupol before capturing it and
                             starting to replace the buildings it
                             destroyed. While the pro-Kremlin media
                             regularly reports on how the occupied city is
                             “coming back to life,” the Russian Internet
                             has filled with advertisements for real
                             estate there. The St. Petersburg outlet
                             Bumaga spoke to Russians who are seeking
                             homes and apartments in the city. Meduza is
                             publishing an abridged translation of
                             Bumaga’s report.


                      # ⚓ Meduza ☛ ‘Ideas_imposed_by_those_in_power,_loosely
                        prepared’_Belgian_photographer_Aurélien_Goubau_on_his
                        trips_to_Murmansk,_inspired_by_a_project_to_put_giant
                        mirrors_in_space_—_Meduza⠀⇛


                             Between September 2021 and February 2022,
                             Belgian photographer Aurélien Goubau made a
                             series of trips to Murmansk, Russia. Knowing
                             little about Russia, its politics, or its
                             people, and inspired by a radio report he
                             heard about the Znamya project, in which
                             Russian scientists sought to light up the
                             northern sky through giant mirrors in space
                             in the 1990s, he set off to use Murmansk’s
                             near-perpetual darkness as a metaphorical
                             lens through which to explore the lives of
                             the city’s inhabitants. And while his
                             original intention was to discover
                             contemporary Russia from a “naive
                             perspective,” the onset of Russia’s full-
                             scale invasion of Ukraine both forced him to
                             reckon with Russia’s realities and imbued his
                             own Znamya project with new meaning.
                             Nonetheless, Goubau says that his attitudes
                             towards the people he photographed has not
                             changed, even if his attitude to the country
                             as a whole has.


                      # ⚓ Meduza ☛ ‘If_the_authorities_had_rallied_around
                        Putin,_Prigozhin_wouldn’t_have_even_reached_Rostov’
                        Historian_Andrey_Zubov_on_why_the_Wagner_rebellion_may
                        spell_regime_change_in_Russia_—_Meduza⠀⇛


                             It’s been less than a week since Prigozhin
                             launched his “march of justice,” leaving the
                             frontlines in Ukraine, capturing Rostov, and
                             parading toward Moscow, before abruptly
                             turning around — all within the span of 24
                             hours. While the full impacts of the
                             insurrection remain to be seen, the rebellion
                             has raised many questions about Putin’s hold
                             on power, whether his grip is as tight as was
                             once thought, and what it all means for
                             Russia’s war in Ukraine. In an interview with
                             independent outlet Verstka, Russian historian
                             Andrey Zubov explains how Prigozhin’s march
                             demonstrated the lack of support for Putin
                             among both the population and the elite, and
                             the possibility for a quick change of hand in
                             the Kremlin, making apt historical
                             comparisons to other key moments in Russian
                             history. Meduza in English is publishing an
                             abridged translation of the interview.


                      # ⚓ New York Times ☛ Polish_Authorities_Detain_Athlete_on
                        Charges_of_Being_Russian_Spy⠀⇛


                             It was the 14th arrest stemming from the
                             dismantling of what officials say was a plot
                             to sabotage arms shipments to Ukraine.


                      # ⚓ New York Times ☛ What_Russians_See:_The
                        ‘Demilitarization’_of_Ukraine_During_its
                        Counteroffensive.⠀⇛


                             On Russian state media, the Ukrainian
                             military is portrayed as completely
                             outmatched and dependent on the West.


                      # ⚓ Atlantic Council ☛ “What_just_happened?”_The_Wagner
                        mutiny⠀⇛


                             Host and Nonresident Senior Fellow Alia
                             Brahimi speaks with renowned Russia expert
                             Mark Galeotti about the Wagner Group
                             rebellion and what it means for Putin and
                             beyond.


          o § Environment⠀➾


                # ⚓ The Atlantic ☛ The_South_Can’t_Beat_This_Heat⠀⇛


                       The best parts of southern summers are becoming
                       unbearable.


                # ⚓ New York Times ☛ Mexico’s_Heat_Wave_Raises_Concerns_for
                  Deaths_and_Energy_Grid⠀⇛


                       Blistering heat has gripped the northern part of
                       the country, leading to concerns about people’s
                       health and the energy grid.


                # § Energy/Transportation⠀➾


                      # ⚓ Michael West Media ☛ How_to_blast_rocks_and
                        negativity_into_prosperity⠀⇛


                             The mining industry’s angst about community
                             resistance, sustainability and the need for
                             automation to save workers’ lives are
                             discussions the chemicals sector was having
                             decades ago.


                             Sanjeev Gandhi, CEO of chemicals and
                             explosives giant Orica, says artificial
                             intelligence (AI) may be new but the
                             chemicals industry is far advanced.


                      # ⚓ DeSmog ☛ PR_Agency_Catering_to_Oil_Interests_Led_UK
                        Climate_Forum’s_Communications⠀⇛


                             The UK’s Climate Innovation Forum named
                             global PR agency Weber Shandwick as its
                             “official communications partner,” despite
                             the agency recently holding or continuing to
                             hold contracts with at least eight oil and
                             gas companies, an oil financier, and an
                             industry lobby group.


                             On Wednesday, June 28, the climate conference
                             convened in London as part of London Climate
                             Action Week, hosted by the UK-based global
                             event organizer Climate Action in partnership
                             with the UK Department for Energy Security
                             and Net Zero. The Climate Innovation Forum
                             describes the UK’s net-zero transition as an
                             “urgent existential imperative and a
                             significant commercial opportunity.” Climate
                             Action did not respond to a request for
                             comment.


                # § Wildlife/Nature⠀➾


                      # ⚓ Forest_fire_ravages_25_hectares_in_southwestern
                        Turkey⠀⇛


                             Ignited in a brushy area due to energy
                             transmission lines, the fire was contained by
                             yesterday evening.


                      # ⚓ Axios ☛ Wildfires_and_heat_waves_a_glimpse_of_our
                        climate_future⠀⇛


                             Data: NOAA HRRR, GFS; Note: Smoke is as of
                             2pm Eastern, June 29, 2023; Map: Erin Davis/
                             Axios Visuals


The heat_wave_scorching_much_of_the_U.S., along with dangerously poor_air
quality from wildfire smoke, is giving Americans a preview of the compound
climate disasters that experts fear will become increasingly common as the
planet warms.


Why it matters:Extreme heat and hazardous air quality are acute public health
threats, and the heat_has_already_proven_deadly.


§ Finance⠀➾


    * ⚓ Quartz ☛ A_newly_merged_Indian_bank_is_set_to_become_bigger_than_HSBC
      and_Citigroup⠀⇛


           For Indians, HDFC Bank is already a household name. Now, the
           rest of the world is going to take note, too.


    * ⚓ Axios ☛ Fed’s_preferred_inflation_gauge_cools_alongside_consumer
      spending_slowdown⠀⇛


           Some heat came off the U.S. economy in May, government data
           released on Friday showed: Consumer_spending slowed, while a
           key inflation measure cooled.


§ AstroTurf/Lobbying/Politics⠀➾


    * ⚓ New York Times ☛ Robert_F._Kennedy_Jr._Draws_Support_From_Outside_the
      Democratic_Party⠀⇛


           His family name, libertarian bent and support from the tech
           world, along with his views on censorship and vaccines, have
           given Robert F. Kennedy Jr. a foothold in the 2024 contest.


    * ⚓ RFERL ☛ Marking_New_EU_Presidency,_Spanish_Prime_Minister_Visits
      Ukraine_In_Show_Of_Support⠀⇛


           On the day his country takes over the EU’s rotating presidency,
           Spanish Prime Minister Pedro Sanchez arrived in Kyiv on July 1
           for a visit to meet with Ukrainian President Volodymyr
           Zelenskiy and demonstrate the bloc’s ongoing support for
           Ukraine in the face of the 16-month Russian invasion.


§ Censorship/Free Speech⠀➾


    * ⚓ Torrent Freak ☛ French_Govt._Wants_to_Inject_Domain_Blocking_Lists
      Directly_Into_Web_Browsers⠀⇛


           A coordinated effort to associate online piracy with malware,
           identity theft and banking fraud, is well underway. As a
           result, legislation beyond copyright infringement is likely to
           play a key role in tackling piracy moving forward. The French
           government’s current plan for tackling online harms envisions
           state-operated domain blocking lists being injected directly
           into web browsers to prevent fraud. It’s a well-intentioned
           move but will not stop there.


    * ⚓ Data Breaches ☛ French_Govt._Wants_to_Inject_Domain_Blocking_Lists
      Directly_Into_Web_Browsers⠀⇛


           Update: Valéry RieB-Marchive of LeMagit contacted me after this
           was posted to say that their reporting was somewhat misleading.
           I asked him for another source or reference and he suggested
           that perhaps some of the best commentary on the topic of what
           the French are considering is this post by Vinton Cerf:
           Concerns over DNS Blocking.


    * ⚓ Techdirt ☛ Here,_Hold_My_Lube:_Pornhub_Blocks_Virginia_and
      Mississippi⠀⇛


           Mandatory age verification rules are entering force in
           Mississippi and Virginia. Mississippi has a population of
           barely 3 million people. Virginia has a population of over 8.6
           million people. Like Utah (population over 3 million) back in
           May, one of the world’s most popular adult tube websites chose
           to block IP addresses from both of these states as a protest
           against age verification laws that may threaten data privacy
           and security.


    * ⚓ Reason ☛ S._Ct._Holds_That_Speech_Creators_(e.g.,_Web_Designers)_Can’t
      Be_Required_to_Create_Content_They_Object_to,⠀⇛


           including when the requirement is imposed by antidiscrimination
           laws, for instance when such laws require web site designers
           who create opposite-sex wedding sites create same-sex wedding
           sites.


    * ⚓ Axios ☛ #BlackLivesMatter_tweets_vanishing_10_years_after_hashtag
      started⠀⇛


           Ten years after #BlackLivesMatter began on Twitter, more than a
           third of tweets with the hashtag have disappeared, according to
           a new_analysis_from_the_Pew_Research_Center.


    * ⚓ The Straits Times ☛ Hong_Kong_film-makers_say_censorship_law_spooks
      investors,_actors⠀⇛


           Fears spiked after Hong Kong adopted a new censorship law in
           October 2021.


    * ⚓ Scheerpost ☛ Q&A:_Twitter_Files_&_Government_Censorship_(W/_Matt
      Taibbi,_Michael_Shellenberger_and_Russell_Brand)⠀⇛


           Watch the Q&A with Matt Taibbi, Michael Shellenberger and
           Russell Brand on Thursday night at Westminster Central Hall in
           London.


§ Freedom of Information / Freedom of the Press⠀➾


    * ⚓ RFA ☛ Apple_Daily_staffers_recall_the_police_raid_that_changed_Hong
      Kong’s_media_overnight⠀⇛


           Three years after Beijing imposed a national security law,
           journalists are still counting the cost


    * ⚓ Hong Kong Free Press ☛ Explainer:_The_decline_of_Hong_Kong’s_press
      freedom_under_the_national_security_law⠀⇛


           As Chief Executive John Lee assures Hongkongers that press
           freedom is “in our pocket,” HKFP rounds up media industry
           incidents since the onset of the national security law.


§ Civil Rights/Policing⠀➾


    * ⚓ Axios ☛ Online_hate_and_harassment_continues_to_rise⠀⇛


           More than half of Americans say they have experienced hate or
           harassment online, according to a new_survey from the Anti-
           Defamation League, with a dramatic rise in incidents over the
           last 12 months, especially among teens.


           Why it matters: Experts say what happens online is causing
           significant real-world harm and also keeping large numbers of
           people from fully participating in an increasingly digital
           society.


    * ⚓ Two_prisoners_continue_hunger_strike_in_Erbil_prison⠀⇛


           Two individuals, imprisoned for their alleged involvement in an
           attack on Turkey’s consulate in Erbil, have been on a hunger
           strike for 44 days, demanding an end to “torture and ill-
           treatment.”


    * ⚓ France24 ☛ China_approves_sweeping_expansion_of_anti-espionage_law⠀⇛


           A revised law dramatically expanding China’s definition of
           espionage came into force on Saturday, giving Beijing more
           power than ever to punish what it deems threats to national
           security.


    * ⚓ Scheerpost ☛ As_Movements_Like_Stop_Cop_City_Gain_Power,_Police_Treat
      Free_Speech_as_a_Crime⠀⇛


           This playbook has been used and reused, depending on the
           political winds of the time.


    * ⚓ The Nation ☛ Is_“Bidenomics”_Enough_to_Win_Working_Voters?⠀⇛


           This Wednesday, President Joe Biden showcased what’s sure to be
           a central theme in his reelection campaign with a speech in
           downtown Chicago hailing the signal achievements of his
           economic agenda and firmly repudiating the legacies of trickle-
           down economics. Speaking before a crowd of local and statewide
           political and business leaders at the city’s Old Post Office
           building, Biden announced his determination to ensure that the
           US economy grow “from the middle out and the bottom up rather
           than just top down”—an approach that marks “a fundamental break
           from the economic theory that’s failed America’s middle class
           for decades now.”


    * ⚓ Axios ☛ Trump_plots_Twitter_return⠀⇛


           It may take a while, but former_President_Trump has entertained
           the idea of returning to his happy place on Twitter, where he’s
           been absent for nearly 2 1/2 years, sources tell Axios.


           Why it matters: Trump still has nearly 87 million followers on
           Twitter, but hasn’t posted there since he was banned after the
           Jan. 6 riot in 2021. Now a growing number of Trump allies — and
           some close to his campaign — are expecting him to tweet again.


    * ⚓ EFF ☛ EFF_Urges_Supreme_Court_to_Make_Clear_That_Government_Officials
      Have_First_Amendment_Obligations_When_They_Use_Their_Social_Media
      Accounts_for_Governmental_Purposes⠀⇛


           The resident sued, alleging violations of his First Amendment
           rights. A federal district court ruled against him, a decision
           that was upheld by the 6th Circuit, which said that no law
           required the manager to operate a Facebook page and no
           government employees maintained it.In the second case,
           O’Connor-Ratcliff v. Garnier, two school district trustees
           continued to use the same Facebook and Twitter accounts they
           created to promote their campaigns after they were elected.
           They used the accounts to solicit public input about school
           board decisions and to communicate with parents about school
           safety.


    * ⚓ Techdirt ☛ EU_And_Elon_Battle_Over_The_New_Internet_Regulations_That
      Elon_Himself_Endorsed_Last_Year⠀⇛


           You don’t need to be some fortune teller to predict some of
           this stuff. A year ago, after he had announced his plans to buy
           Twitter (but before he tried to back out, and then was
           eventually forced to complete the purchase), we were horrified
           to see Elon Musk meet with the top EU’s Commissioner for the
           Internal Market, Thierry Breton, and give a full embrace of the
           EU’s Digital Services Act. As we noted at the time, there are
           some serious concerns about the free speech implications of the
           DSA, and someone who was actually committed to free speech
           would be calling those out, rather than claiming “it’s exactly
           aligned with my thinking.”


    * ⚓ Hong Kong Free Press ☛ China_censors_prominent_journalist_who_raised
      concerns_about_economy⠀⇛


           A prominent Chinese financial journalist who has compared the
           country’s economic problems to the Great Depression has been
           banned from social media.


    * ⚓ The Atlantic ☛ The_End_of_Optimism_in_China⠀⇛


           Young people should learn to “eat bitterness,” says Xi Jinping.


    * ⚓ The Nation ☛ Men_Overboard⠀⇛


           “The destruction of men in the West is the great story of the
           last 40 years,” declared conservative author and podcaster Ben
           Shapiro, during a recent appearance on Piers Morgan Uncensored.
           Shapiro was holding forth before a sympathetic audience, so he
           laid into the lead talking points of the cult of aggrieved
           maleness: resisting on pseudo-biological principles the notion
           that trans women are women, and decrying the sorry state of
           masculinity in mainstream discourse in the wake of the twin
           disasters of the sexual revolution and modern feminism. “The
           patriarchy was so clever that they somehow convinced women that
           sexual liberation was the most wonderful thing for women,”
           Shapiro said, “But as it turns out, it actually backfired and
           it ended up destroying men.”


    * ⚓ The Atlantic ☛ How_to_Lose_a_Century_of_Progress⠀⇛


           Americans have been too quick to condemn the field of public
           health, overlooking its massive achievements in the 1900s and,
           yes, during the recent pandemic, too.


    * ⚓ EFF ☛ Digital_Rights_Updates_with_EFFector_35.8⠀⇛


           Learn more about the latest happenings by reading the full
           newsletter here, or you can listen to the audio version below!


           Listen on YouTube


           EFFector 35.8 | This Pride, Support LGBTQ+ Rights Both Online
           and offline


§ Internet Policy/Net Neutrality⠀➾


    * ⚓ The Verge ☛ Elon_Musk_blames_data_scraping_by_AI_startups_for_his_new
      paywalls_on_reading_tweets⠀⇛


           You need an account just to read tweets now, and you’ll have to
           pay for Twitter Blue “verified” access to see more than 600
           posts per day.


§ Monopolies⠀➾


    * ⚓ Digital Music News ☛ Google_Denies_Ad_Fraud_Claims_After_Damning
      Research_Report⠀⇛


           Google denies ad-fraud claims after a damning research report
           suggests it inflated video ad views, potentially misleading
           advertisers.


    * ⚓ FTC_vs_Microsoft_judge’s_son_works_for_the_company,_watchdog_seeks
      recusal⠀⇛


           The son of the judge presiding over the FTC vs Microsoft case
           works at Microsoft, posing a conflict of interest, according to
           an industry watchdog group.


           The Revolving Door Project, part of the Center for Economic and
           Policy Research, claims the employment of U.S. District Judge
           Jacqueline Scott Corley’s son sets up a “clear risk of
           retaliation” from the company should Corley rule against it in
           the case. Corley oversaw arguments this week and is set to
           determine whether to grant the FTC’s request to pause
           Microsoft’s acquisition of Activision Blizzard.


           [...]


           The watchdog sent a letter to Corley on Thursday, obtained by
           The Washington Post, that says Corley’s son’s employment may
           violate multiple rules laid out in the Code of Conduct U.S.
           judges follow. That includes a rule that judges should “avoid
           impropriety and the appearance of impropriety in all
           activities.” The Revolving Door Project warns that the conflict
           risks influencing the judge’s objectivity and could potentially
           reduce public trust in courts.


    * § Patents⠀➾


          o ⚓ Unified Patents ☛ ETRI_video_codec_patent_reexam_granted⠀⇛


                 On June 2, 2023, less than two months after Unified filed
                 an_ex_parte_reexamination, the Central Reexamination Unit
                 (CRU) granted Unified’s request, finding substantial new
                 questions of patentability on the challenged claims of
                 U.S._Patent_10,341,661, owned by the Electronics_and
                 Telecommunications_Research_Institute_(ETRI).


          o ⚓ Unified Patents ☛ HyperX_zero-touch_networking_patent_reexam
            granted⠀⇛


                 On June 29, 2023, less than one month after Unified filed
                 an_ex_parte_reexamination, the Central Reexamination Unit
                 (CRU) granted Unified’s request, finding substantial new
                 questions of patentability on the challenged claims of
                 U.S._Patent_11,522,756, owned and asserted by HyperX
                 Networks, LLC. The ‘756 patent relates to zero-touch
                 provisioning systems and methods, and had been asserted
                 against Ciena.


                 View district_court_litigations_by_HyperX.


          o ⚓ Drew_DeVault_Has_Lost_the_Plot⠀⇛


                 Generalisations are the foremost weapon of fascism; Drew
                 DeVault embraces the ideology of those whom he claims to
                 be against


          o ⚓ Dennis Crouch/Patently-O ☛ Reevaluating_Design_Patent
            Obviousness⠀⇛


                 Design patents continue to rise in importance, but the
                 underlying law full of eccentricities.  The crux of the
                 issue lies in the manner patent law decisions are
                 typically written. Most of precedential patent decisions
                 are penned with a strong focus on utility patent
                 doctrine, yet, surprisingly, the same patent doctrines of
                 novelty, obviousness, definiteness, enablement, and
                 written description are also applicable in the realm of
                 design patents.


    * § Trademarks⠀➾


          o ⚓ TTAB Blog ☛ TTABlog_Quarterly_Index:_April_–_June_2023⠀⇛


          o ⚓ TTAB Blog ☛ TTAB_Posts_July_2023_Hearing_Schedule⠀⇛


                 The Trademark Trial and Appeal Board (Tee-Tee-Ā-Bee) has
                 scheduled four (IV) oral hearings for the month of July
                 2023. The first and third hearings will be held in-
                 person, the second and third via video conference. Briefs
                 and other papers for each case may be found at TTABVUE
                 via the links provided.


    * § Copyrights⠀➾


          o ⚓ Torrent Freak ☛ Authors_Accuse_OpenAI_of_Using_Pirate_Sites_to
            Train_ChatGPT⠀⇛


                 Generative AI is a revolutionary technology that’s
                 expected to change society as we know it but, in
                 parallel, it raises many copyright infringement concerns.
                 This week, book authors Paul Tremblay and Mona Awad filed
                 a lawsuit against OpenAI, accusing the company of using
                 pirated books to train its ChatGPT models.


          o ⚓ Tom’s Hardware ☛ Valve_Allegedly_Bans_Games_on_Steam_From_Using
            AI_Art⠀⇛


                 A game developer recently had a game banned from Steam
                 that featured AI-generated content, due to copyright
                 issues with the source material the AI was trained by.


§ Gemini* and Gopher⠀➾


    * § Personal/Opinions⠀➾


          o ⚓ The_Rainy_Season⠀⇛


                 The weather was just … gross, this morning. I woke up to
                 it being cloudy and
                 threating rain. The news last night warned of heavy rain
                 and thunder, but when
                 I left home in the AM it wasn’t really coming down. In my
                 infinite wisdom I
                 only took a small umbrella, and when I got out of the
                 subway at my destination
                 the rain had really started.


          o ⚓ malahide_swimming⠀⇛


                 my work has been taking me to near Dublin on and off over
                 the last few months. i have managed to get some swims in
                 between shifts or on days off. i am trying to get back to
                 more regular running and swimming.


                 on previous trips i swam at Portmarnock but this trip i
                 went only a very little further north to Malahide; or
                 rather High Rock. i prefer changing on rocks or pebbles.


          o ⚓ nb⠀⇛


                 The ‘nb’ mention got me interested, and I immediately
                 installed it. I’ve been looking for an easy note-taking
                 solution, and this looks like a pretty good one!


                 Apparently, it is 25K lines of bash… As long as it’s not
                 Python I am in! (The only things that break on Linux are
                 written in Python, if you haven’t noticed).


          o ⚓ Mineral_Water_Saturday⠀⇛


                 Been drinking a lot of mineral water today. By god it’s
                 so hot out. I think they should turn the Sun off for just
                 a couple of days. We could really use a break from it. If
                 I could sleep until Fall I would be very pleased


          o ⚓ Got_a_new_job⠀⇛


                 Got a new job as a baker in a bakery
                 I am under an apprenticeship for 5 years
                 The pay is good but the work is hard
                 Working till 5am every night
                 10+ hours


    * § Politics and World Events⠀➾


          o ⚓ re:_The_Supreme_Court_and_other_fools⠀⇛


                 I despise Capitalism and most other -isms (political
                 systems that prefer A over B). But I believe that people
                 are generally good, or if they are not, it is still wrong
                 to opress them using violence or threats thereof.


    * § Technology and Free Software⠀➾


          o ⚓ Making_Games⠀⇛


                 Today, one of my Mastodon mutuals boosted a blog post by
                 software developer Evan Todd. It’s a long and thoughtful
                 piece about what we think we want, and the ways in which
                 we deceive ourselves. For Todd, what he thought he wanted
                 was a career in indie game development, and in a very
                 particular, 2010s sort of way. This was after the point
                 where people like Jonathan Blow, Ed McMillen, and others
                 were able to get famous, quickly, by releasing small-
                 studio games in an environment where there was
                 (relatively) little competition. The years after “Indie
                 Game: the Movie”, after certain game developers became,
                 in certain circles, actual celebrities, and after a whole
                 industry spun up around The Things You Were Supposed To
                 Do (YouTube trailer, Early Access, twitch, social media,
                 funding via Kickstarter). I know this because I was, in a
                 very small way, adjacent to this sort of scene. I’m a
                 game developer in maybe the loosest sense of the term. I
                 don’t do it for a living. I never could. But I’ve written
                 a little terminal-based puzzle game in C++ – that took me
                 a couple of weeks – and I’ve written, and continue to
                 write, a huge, sprawling, frustratingly incomplete game
                 on my own time.


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



                    ䷩ 𝚕𝚒𝚗𝚎 4879

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 07.01.23⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


Gemini_version_available_♊︎


✐ Gemini_Links_01/07/2023:_Fighting_a_Heisenbug_in_Agate⠀✐


Posted in News_Roundup at 6:57 am by Dr. Roy Schestowitz


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


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


          o § Personal/Opinions⠀➾


                # ⚓ 🔤SpellBinding:_GLNOSUT_Wordo:_CUFFS⠀⇛


                # ⚓ At_the_Gallows⠀⇛


                       At the Gallows, limped flower


                       Growing, golden


                       In her eye


          o § Politics and World Events⠀➾


                # ⚓ An_Origin_Story⠀⇛


          o § Technology and Free Software⠀➾


                # ⚓ Using_anacron_to_run_periodic_tasks⠀⇛


                       When you need to regularly run a program on your
                       workstation that isn’t powered 24/7 or even not
                       every day, you can’t rely on cronjob for that task.


                       Fortunately, there is a good old tool for this job
                       (first release June 2000), it’s called anacron and
                       it will track when was the last time each
                       configured tasks have been running.


                # § Internet/Gemini⠀➾


                      # ⚓ Fighting_a_Heisenbug_in_Agate⠀⇛


                             I don’t know, if the problem is located in
                             layer 8, but the Gemini server I use, Agate,
                             won’t apply the correct meta all the time,
                             but only in 95 percent of the time.


                      # ⚓ capsules_on_Gemini_and_Discord⠀⇛


                             Here are my capsules on the Gemini small web:


                             Most of the posts on them are in the Hebrew
                             language so better use a translator…


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



                    ䷩ 𝚕𝚒𝚗𝚎 4978

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 07.01.23⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


Gemini_version_available_♊︎


✐ Links_01/07/2023:_FSF_Pushing_Swag,_Microsoft_Has_More_Trouble⠀✐


Posted in News_Roundup at 12:29 am by Dr. Roy Schestowitz


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * GNU/Linux
          o Audiocasts/Shows
          o Applications
          o Instructionals/Technical
    * Distributions_and_Operating_Systems
          o New_Releases
          o SUSE/OpenSUSE
          o Fedora_Family_/_IBM
          o Canonical/Ubuntu_Family
          o Devices/Embedded
          o Mobile_Systems/Mobile_Applications
    * Free,_Libre,_and_Open_Source_Software
          o Productivity_Software/LibreOffice/Calligra
          o FSF
          o Programming/Development
                # Python
    * Leftovers
          o Hardware
          o Health/Nutrition/Agriculture
          o Proprietary/Artificial_Intelligence_(AI)
          o Security
                # Privacy/Surveillance
          o Defence/Aggression
          o Environment
                # Wildlife/Nature
          o Finance
          o AstroTurf/Lobbying/Politics
          o Censorship/Free_Speech
          o Civil_Rights/Policing
          o Internet_Policy/Net_Neutrality
          o Monopolies
    * § GNU/Linux⠀➾


          o § Audiocasts/Shows⠀➾


                # ⚓ Going Linux ☛ Going_Linux_#442_·_Welcome_to_Linux!
                  Kubuntu⠀⇛


                       Bill provides a review of Kubuntu, how easy it was
                       to install, and how well it might fit for a
                       computer user new to Linux.
                       00:00 Going Linux #442 · Welcome to Linux! Kubuntu
                       00:60 Chat GPT
                       05:15 Kubuntu
                       10:19 Why choose Kubuntu?


                # ⚓ The BSD Now Podcast ☛ BSD_Now_513:_New_Host_Interview⠀⇛


                       We have a new show host, Understanding ZFS vdev
                       Types, Don’t abuse su for dropping user privileges,
                       Dynamic Tracing on OpenBSD 7.3, new Libressl,
                       Manual Jails on FreeBSD 12, and more


                # ⚓ mintCast Podcast ☛ mintCast_415_–_Future_Appears_Cloudy⠀⇛


                       First up in the news, Mint 21.2 betas have been
                       released, Debian 13 gets a name, Ardour 7.5 does
                       remaps, RHEL goes closed-source, and Opera One
                       ships with AI


                       In security and privacy, Tsunami comes to SSH


                       Then in our Wanderings Joe goes on a little trip,
                       Moss musics, and Majid has toys


                       Download


          o § Applications⠀➾


                # ⚓ Linux Links ☛ Fluent_Reader_–_modern_desktop_RSS_reader⠀⇛


                       Fluent Reader is a desktop news reader application.
                       It’s built using Electron. Here’s our review of the
                       application.


                # ⚓ OMG! Linux ☛ Emoji_Mart_is_a_Cute_Picker_App_for_Linux
                  Desktop⠀⇛


                       Entering emoji in Linux apps isn’t quite as
                       efficient as it on rival OSes – but it’s improving,
                       helped in part by the emergence of third-party
                       apps.


          o § Instructionals/Technical⠀➾


                # ⚓ LinuxConfig ☛ Debian_USB_Firmware_Loader_Script⠀⇛


                # ⚓ Linux Links ☛ Alternatives_to_popular_CLI_tools:_make⠀⇛


                       This article spotlights alternative tools to make,
                       a utility which controls the generation of
                       executables and other non-source files.


                # ⚓ Xe’s Blog ☛ Of_course_the_network_can_be_a_filesystem⠀⇛


                       Spoiler alert! This references details for my
                       GopherCon EU talk Reaching the Unix Philosophy’s
                       Logical Conclusion with WebAssembly. This may ruin
                       some of the cosmic horror feeling that I tried to
                       inspire in the audience by gradually revealing the
                       moving parts and then crashing them all together
                       into one “oh, oh god, why, no” feeling when the
                       live demo happened. My talk page and the video will
                       go up in August.


                # ⚓ The Anarcat ☛ Antoine_Beaupré:_Using_signal-cli_to_cancel
                  your_Signal_account⠀⇛


                       For obscure_reasons, I have found
                       myself with a phone number registered with Signal
                       but without any device associated with it.


                # ⚓ Make Tech Easier ☛ How_to_Use_GPG_with_GNU_Kleopatra_in
                  Linux⠀⇛


                       The GNU Privacy Guard (GPG) is one of the most
                       important programs available today, as it allows
                       you to create your own digital identity and
                       establish encrypted communications online.


                       This article will show how you can get started with
                       GPG in Linux using Kleopatra and send your first
                       encrypted message over the internet.


                # ⚓ C.J._Collier:_Converting_a_windows_install_to_a_libvirt_VM
                  [Ed: Microsoft's longtime booster C.J. Collier now pushing
                  Windows cruft into Planet Debian]⠀⇛


                # ⚓ Fabio_Alessandro_Locati:_Why_do_Kubernetes_Control_Planes
                  have_an_odd_number_of_members?⠀⇛


                       The single most frequent question I get asked about
                       Kubernetes is regarding the number of Control Plane
                       nodes. Sometimes it is out of curiosity for the
                       “unusual number”; other times, it is plainly
                       confrontational since the person would prefer a
                       different number, which usually is 2.


                       The first thing to understand is that there are a
                       couple of reasons to choose a certain number of
                       Kubernetes Control Plane nodes over another, and
                       those are: [...]


    * § Distributions and Operating Systems⠀➾


          o ⚓ Barry Kauler ☛ Very_old_PKGget_bug_fixed⠀⇛


                 How about that, a bug that has existed from 2018, nobody
                 reported it. I was responding to don570 here:


                 https://forum.puppylinux.com/viewtopic.php?t=9036


                 …as explained PKGget automatically creates the entries
                 when you right-click on a file.


                 Puppy Linux does not have this automatic management o
                 mime-handling, so those coming from a Puppy background,
                 like don570, will not know what is going on.


                 Actually, what PKGget does is call /usr/sbin/build-rox-
                 sendto, which creates the entries in the right-click
                 menu.


          o § New Releases⠀➾


                # ⚓ Linuxiac ☛ Nitrux_2.9_Released_with_the_Latest_Plasma_and
                  MauiKit_Desktops⠀⇛


                       Powered by Liquorix kernel 6.3.9, Nitrux 2.9 ships
                       with the most up-to-date Plasma 5.27.6, MauiKit
                       3.0, and CLI AppImage command-line manager.


                # ⚓ Beta News ☛ Forget_Windows_12,_Nitrux_2.9.0_Linux
                  distribution_should_be_your_next_OS⠀⇛


                       Ah, it’s that time again folks. Nitrux, the up-and-
                       coming Linux distro, is back with its newest
                       update, Nitrux 2.9.0 “nu.” While Microsoft might
                       still be stumbling around trying to recover from
                       their latest Windows mishaps, Nitrux is already
                       picking up the pace and setting new standards in
                       the world of operating systems. Unlike the
                       cluttered and often confusing Windows Update
                       system, the “nu” in Nitrux 2.9.0′s codename refers
                       to the new “Nitrux Update System Tool.” And it’s
                       here to make your life easier. This isn’t some
                       random, untested, and buggy update tool Microsoft
                       likes to force on its users.


          o § SUSE/OpenSUSE⠀➾


                # ⚓ SUSE’s Corporate Blog ☛ Empowering_retailers_to_innovate
                  and_scale_fast⠀⇛


                       Guest blog – Inside the partnership: Flooid and
                       SUSE Retailers moving to the ‘store of the future’
                       require new levels of speed, flexibility and open
                       innovation, without compromising on security or
                       performance.


                # ⚓ SUSE’s Corporate Blog ☛ Digital_Trust_in_Cloud_and
                  Containerization:_A_Shift_in_the_Security_Landscape⠀⇛


                       In today’s digital environment, the importance of
                       trust has taken center stage. As more businesses
                       shift from traditional data center infrastructure
                       to cloud and containerized environments, Digital
                       Trust becomes more than just a buzzword; it’s an
                       absolute necessity. 


          o § Fedora Family / IBM⠀➾


                # ⚓ Michel Alexandre Salim ☛ Perf_6.x_now_in_CentOS
                  Hyperscale!⠀⇛


                       At Meta, we use sample-based profiling with perf to
                       guide performance optimization work – otherwise we
                       would need even more servers than the ones we
                       already have! This 2018 engineering blog post on
                       BOLT is still highly relevant.


                       For a primer on perf, I highly recommend reading
                       Brendan Gregg’s perf examples page.


                # ⚓ Red Hat ☛ ISystemTap:_An_interactive_SystemTap_notebook⠀⇛


                       SystemTap is a tool that streamlines the gathering
                       of real-time information about a running Linux
                       system. It can probe and even modify running
                       processes in both the user and kernel spaces, so
                       you can easily monitor your programs without
                       recompiling and installing tools on your system. It
                       also provides many tapsets, or prewritten libraries
                       that aid in these tasks.


                       But to a beginner, SystemTap can be overwhelming,
                       and it can be said that with this great power comes
                       an equally great learning curve. To solve this
                       issue, we’ve introduced an interactive, beginner-
                       friendly interface called ISystemTap.


          o § Canonical/Ubuntu Family⠀➾


                # ⚓ Ubuntu ☛ Snapcraft.io_reloaded:_check_out_the_new_look_and
                  feel⠀⇛


                       We’re happy to announce that snapcraft.io has a
                       fresh, new look! Time for an update After keeping
                       the same user interface and style for several
                       years, we embarked on a project to redesign
                       snapcraft.io and give it a more modern look. We
                       spent a lot of time analysing how we could improve
                       the store and […]


                # ⚓ Ubuntu ☛ EV_charging_infrastructure:_overcome_the
                  challenges_with_open_source⠀⇛


                       Range anxiety refers to the fear of running out of
                       battery while driving. Of course, with more range
                       or more charging stations, range anxiety decreases.
                       Unfortunately, most countries lack EV charging
                       infrastructure that meets consumer expectations.


          o § Devices/Embedded⠀➾


                # ⚓ CNX Software ☛ Popcorn_Computer_PopStick_–_A_$29_USB_Linux
                  computer_powered_by_an_Allwinner_F1C200s_ARM9_processor⠀⇛


                       Popcorn Computer’s Popstick may look like a USB
                       flash drive, but it’s actually a USB computer
                       running Linux on an Allwinner F1C200s ARM9
                       processor with 64MB RAM on-chip. The PopStick
                       support USB gadget mode so it can appear as all
                       sort of USB devices such as a scriptable USB
                       Keyboard and Mouse, a mass storage device, or even
                       an Ethernet-connected computer using USB Ethernet
                       which you can access with SSH.


          o § Mobile Systems/Mobile Applications⠀➾


                # ⚓ LinuxStans ☛ Unlock_Limitless_Potential_with_XFone_Mobile’s
                  Linux_Phones_–_Your_Gateway_to_Mobile_Liberation!⠀⇛


                       Welcome to XFone Mobile, the ultimate destination
                       for Linux enthusiasts and programmers seeking
                       powerful Linux phones. With over a decade of
                       experience running Ubuntu Linux for our software
                       business, XFone Mobile stands as a trusted
                       authority in delivering top-notch Linux devices
                       that cater to your specific needs.


    * § Free, Libre, and Open Source Software⠀➾


          o § Productivity Software/LibreOffice/Calligra⠀➾


                # ⚓ 2_Ways_to_Insert_or_Draw_a_Horizontal_Line_in_LibreOffice_&
                  OpenOffice⠀⇛


                       Horizontal lines are important visual elements in
                       LibreOffice or OpenOffice Writer documents. A well-
                       defined line can improve the readability of a
                       document by separating blocks of text or
                       paragraphs.


                       Here’s how you can add them.


                # ⚓ LibreOffice_project_and_community_recap:_June_2023⠀⇛


                       Here’s our summary of updates, events and
                       activities in the LibreOffice project in the last
                       four weeks – click the links to learn more… We
                       started June by announcing the LibreOffice Conf
                       Asia x UbuCon Asia 2023, in Indonesia, an event
                       that brings together Linux and Open Source Software
                       (OSS) activists, contributors, users, communities
                       [...]


          o § FSF⠀➾


                # ⚓ FSF ☛ FSF_Blogs:_Keep_cool_with_GNU_summer_swag⠀⇛


          o § Programming/Development⠀➾


                # ⚓ Steinar H Gunderson ☛ Steinar_H._Gunderson:_Finding_the
                  BESTEST_sine_function_for_Nintendo_64⠀⇛


                       YouTube gave me the video “Finding_the_BEST_sine
                       function_for_Nintendo_64” yesterday, and while I
                       thought the title was very intriguing, I came away
                       a bit disappointed; the video is hardly about the
                       specifics of Nintendo 64 at all, and the author
                       mostly spends time comparing straight-up LUTs with
                       some hand-made splines under a proxy metric (no
                       real comparative benchmarks, hardly any numerics).


                # § Python⠀➾


                      # ⚓ Linux Hint ☛ Python_Statistics_Standard_Deviation⠀⇛


                             The “statistics.stdev()” method of the
                             “statistics” module is used to determine the
                             standard deviation of a sample of data in
                             Python.


                      # ⚓ Linux Hint ☛ Python_Setattr()_Function⠀⇛


                             Python “setattr()” function sets the
                             specified object’s attribute value. This
                             function creates an attribute that does not
                             present and assigns a value


                      # ⚓ Linux Hint ☛ Python_set_intersection_update()
                        Method⠀⇛


                             The set.intersection_update()” method is
                             utilized in Python to remove/eliminate the
                             uncommon items from all the given sets.


                      # ⚓ Linux Hint ☛ Python_String_encode()_Method⠀⇛


                             The “string.encode()” method is utilized to
                             encode a specified string into a sequence of
                             bytes based on the particular encoding.


                      # ⚓ Linux Hint ☛ Python_Self_Parameter⠀⇛


                             The “self” is a reference to the current
                             instance of the class and is used to access
                             variables and functions that belong to the
                             class.


                      # ⚓ Linux Hint ☛ Python_os_path_isdir⠀⇛


                             The “os.path.isdir()” method of the “os”
                             module is used to check whether a given/
                             specified path is an existing directory or
                             not.


                      # ⚓ Linux Hint ☛ Python_Nonlocal_Keyword⠀⇛


                             The “nonlocal keyword” is used to work with
                             variables inside nested functions, where the
                             variable should not belong to the inner
                             function.


                      # ⚓ Linux Hint ☛ Enumerate_python_examples⠀⇛


                             The “enumerate()” function is utilized in
                             Python to count the elements of the specified
                             iterable and returns the count and the item
                             together.


                      # ⚓ Linux Hint ☛ Python_Random_Seed⠀⇛


                             The “random.seed()” method reproduces the
                             random function result again and again, as
                             this function initializes the pseudo-random
                             number generator of Python.


                      # ⚓ Linux Hint ☛ Python_issubclass()_Function⠀⇛


                             The built-in Python “issubclass()” function
                             is utilized to verify whether the particular
                             class is the subclass of another particular
                             class.


                      # ⚓ Linux Hint ☛ Python_Print_List⠀⇛


                             The “for” loop, “* Operator”, “List
                             Comprehension” technique, and “join()” method
                             is employed to print the list in Python.


                      # ⚓ Linux Hint ☛ Python_String_islower()_Method⠀⇛


                             The Python “string.islower()” method checks
                             whether the string contains all lowercase
                             letters or at least one uppercase letter by
                             retrieving “True” and “False”.


                      # ⚓ Linux Hint ☛ Python_OS_Path_Split⠀⇛


                             The “os.path.split()” method of the “os”
                             module is used to split/separate a specified
                             path and return a tuple containing the head
                             and tail of the path.


                      # ⚓ Linux Hint ☛ Python_Splitlines⠀⇛


                             The “string.splitlines()” method in Python
                             splits or breaks the given string at line
                             break and retrieves the list object.


    * § Leftovers⠀➾


          o § Hardware⠀➾


                # ⚓ IT Wire ☛ Sales_of_smart_home_devices_fell_across_the_world
                  in_1Q23⠀⇛


                       IDC said devices used to control lighting,
                       thermostats, and home monitoring and security
                       devices were expected to see high growth over the
                       next five years, partly due to increased awareness
                       of such devices and the growth of emerging markets.


                       “The worldwide smart home market is witnessing
                       uneven growth as some regions fare better than
                       others,” said Adam Wright, research manager, Smart
                       Home_and_Office_Devices at IDC.


                       “In more mature markets like the US, high installed
                       bases of devices coupled with issues of under-
                       utilisation, ongoing disruptions from supply
                       chains, logistics issues, high inflation, and
                       record high credit card debt have affected the
                       market’s growth in 2022 and the first part of 2023
                       and are expected to continue to put downward
                       pressure on the market for the foreseeable future.


                       “But other regions that are earlier in their
                       adoption curve like Latin America and parts of
                       Asia/Pacific have a big opportunity for growth.”


                # ⚓ The Register UK ☛ Ethernet_just_turned_half_a_century_old_•
                  The_Register⠀⇛


                       Everything goes round in cycles, including computer
                       networking… but not always in rings. The most
                       important networking system so far has vanquished
                       all its loopy rivals for 50 years.


                       Geoff Huston, the chief scientist of the Asia
                       Pacific Network Information Centre (APNIC), posted
                       a rather splendid potted history of Ethernet
                       yesterday to commemorate its 50th birthday.


                       It’s an information-dense essay and we would do it
                       a disservice if we attempted to précis it for you.
                       It spans from Ethernet’s origins as a cabled
                       version of the University of Hawaii’s pioneering
                       ALOHAnet wireless networking system, through
                       10base-5 (“Thick Ethernet”), then 10base-2 (“Thin
                       Ethernet” or Cheapernet, which is about when The
                       Reg FOSS Desk entered this business), then 10base-
                       T over unshielded twisted-pair cabling… which
                       turned into 100base-T (“Fast Ethernet”) and
                       Gigabit.


          o § Health/Nutrition/Agriculture⠀➾


                # ⚓ Helsinki Times ☛ Aspartame:_WHO’s_Cancer_Research_Agency
                  considers_possible_carcinogenicity,_sparking_debate_in_food
                  industry_and_regulatory_circles⠀⇛


                       Aspartame, one of the most widely used artificial
                       sweeteners in the world, is set to be classified as
                       a possible carcinogen by the International Agency
                       for Research on Cancer (IARC), a leading global
                       health body. This decision, expected to be
                       announced in July, has sparked a contentious debate
                       between the food industry, regulators, and health
                       organizations.


          o § Proprietary/Artificial Intelligence (AI)⠀➾


                # ⚓ OpenAI_being_Accused_of_training_ChatGPT_with_‘Stolen
                  Data’⠀⇛


                       A California based law firm Clarkson Law Firm has
                       filed a class lawsuit on behalf of 16 plaintiffs
                       against OpenAI. The lawsuit accuses ChatGPT’s
                       parent company of illegally scrapping the data from
                       internet to train ChatGPT. It alleges that OpenAI
                       trained ChatGPT using data collected from millions
                       of social media comments, blog posts and Wikipedia
                       articles without seeking proper consent from them.
                       Although this lawsuit is still in its initial
                       stages, if these allegations are proven true then
                       OpenAI will have to pay hefty fine amounting to
                       billions of dollars. Even though OpenAI has become
                       a global sensation, it continues to face mounting
                       pressure over data privacy.


                # ⚓ Silicon Angle ☛ OpenAI_and_Microsoft_face_new_class-action
                  lawsuit_over_ChatGPT⠀⇛


                       A newly filed class-action lawsuit claims that
                       OpenAI LP collected personal information belonging
                       to millions of people without their permission. The
                       complaint, which was submitted on Wednesday to a
                       San Francisco federal court, also names Microsoft
                       Corp. as a defendant.


                # ⚓ NYPost ☛ Furious_Microsoft_employees_slam_CEO_Satya
                  Nadella’s_‘landmark’_year_claim⠀⇛


                       Some angry Microsoft employees reportedly blasted
                       their boss Satya Nadella on Thursday after he
                       shared a message touting a “landmark year” at the
                       tech giant — even as executives withheld raises,
                       announced 10,000 layoffs in January and scramble to
                       salvage a $69 billion deal to buy Activision
                       Blizzard.


                       Nadella lauded the company’s accomplishments in a
                       missive shared on Microsoft’s internal message
                       boards on Thursday — the last day of the company’s
                       2023 fiscal year, Insider reported.


                       “As we approach the end of FY23, I want to express
                       my sincere appreciation to everyone working hard
                       across the company for a strong close,” Nadella
                       wrote in the post.


                       “The innovation and creativity you continue to show
                       have made this a landmark year not just for
                       Microsoft, but for our customers, partners, and
                       communities around the world,” he added.


                # ⚓ The Register UK ☛ Microsoft_and_GitHub_try_to_derail
                  Copilot_code_lawsuit_•_The_Register⠀⇛


          o § Security⠀➾


                # ⚓ Bruce Schneier ☛ Redacting_Documents_with_a_Black_Sharpie
                  Doesn’t_Work⠀⇛


                       We have learned this lesson again:


                            As part of the FTC_v._Microsoft_hearing,
                            Sony supplied a document from PlayStation
                            chief Jim Ryan that includes redacted
                            details on the margins Sony shares with
                            publishers, its Call of Duty revenues,
                            and even the cost of developing some of
                            its games.


                            It looks like someone redacted the
                            documents with a black Sharpie ­ but when
                            you scan them in, it’s easy to see some
                            of the redactions.


                # ⚓ Security Week ☛ Serious_Vulnerability_Exposes_Admin
                  Interface_of_Arcserve_UDP_Backup_Solution⠀⇛


                       Researchers publish PoC for a high-severity
                       authentication bypass vulnerability in the Arcserve
                       UDP data backup solution.


                # ⚓ IT Wire ☛ Three_hours_appears_to_be_a_long_time_when_it
                  comes_to_data_leaks⠀⇛


                       Less than three hours after the Medibank Group told
                       iTWire it had not been affected by the ongoing
                       ransomware attacks by the Cl0p group, the company
                       told another media outlet that it had indeed been
                       affected.


                       Medibank data was stolen from a company that serves
                       as the health insurer’s building manager, the
                       Australian Financial Review reported at 12.11pm on
                       20 June.


                # ⚓ Security Week ☛ Details_Disclosed_for_Critical_SAP
                  Vulnerabilities,_Including_Wormable_Exploit_Chain⠀⇛


                       Details have been disclosed for critical SAP
                       vulnerabilities, including a wormable exploit
                       chain, that can expose organizations to attacks.


                # ⚓ Security Week ☛ Dozens_of_Businesses_Hit_Recently_by
                  ‘8Base’_Ransomware_Gang⠀⇛


                       The 8Base ransomware gang has hit roughly 30 small
                       businesses over the past month, reaching a total of
                       approximately 80 victims since March 2022.


                # ⚓ Security Week ☛ Siemens_Energy,_Schneider_Electric_Targeted
                  by_Ransomware_Group_in_MOVEit_Attack⠀⇛


                       Energy giants Schneider Electric and Siemens Energy
                       confirm being targeted by the Cl0p ransomware group
                       in the campaign exploiting a MOVEit zero-day.


                # ⚓ Security Week ☛ Anatsa_Banking_Trojan_Delivered_via_Google
                  Play_Targets_Android_Users_in_US,_Europe⠀⇛


                       Malicious applications with over 30,000 installs in
                       Google Play have infected Android devices with the
                       Anatsa banking trojan.


                # ⚓ Security Week ☛ Sensitive_Information_Stolen_in_LetMeSpy
                  Stalkerware_Hack⠀⇛


                       Emails, phone numbers, calls logs, and collected
                       messages stolen in data breach at Android stalkware
                       LetMeSpy.


                # ⚓ YLE ☛ Financial_watchdog_investigating_S-Bank_operations⠀⇛


                       The bank faces an investigation into concerns over
                       governance and data security, HS reports.


                # § Privacy/Surveillance⠀➾


                      # ⚓ Citizen Lab ☛ Should_We_Chat?_Privacy_in_the_WeChat
                        Ecosystem⠀⇛


                             We conducted the first analysis of WeChat’s
                             tracking ecosystem. Using reverse engineering
                             methods to intercept WeChat’s network
                             requests, we identified exactly what types of
                             data the WeChat app is sending to its
                             servers, and when. This report is part one of
                             a two-part series on a privacy and security
                             analysis of the WeChat ecosystem.


                      # ⚓ L’Oréal_Accused_of_Violating_Privacy_With_Makeup
                        ‘Try-On’_Tech⠀⇛


                             Jorja Siemons reports: L’Oréal USA Inc. has
                             been hit with a lawsuit by an Illinois
                             customer who said the company’s online “try-
                             on” feature…


                      # ⚓ The Register UK ☛ NJ_cops_must_get_wiretap_order_for
                        real-time_Facebook_snoop_•_The_Register⠀⇛


          o § Defence/Aggression⠀➾


                # ⚓ LRT ☛ Poland_to_send_special_forces_contingent_to_Lithuania
                  for_NATO_summit⠀⇛


                       Poland is sending a contingent of special forces to
                       Lithuania to protect NATO’s summit in Vilnius in
                       mid-July, the country’s National Security Bureau
                       said on Thursday.


                # ⚓ France24 ☛ At_least_150_arrests_in_protests_across_France
                  over_police_killing_of_teen⠀⇛


                       Authorities said 150 people were arrested overnight
                       after violent demonstrations erupted for a second
                       night in a row, with protesters burning rubbish and
                       clashing with security forces over the fatal police
                       shooting of a teenager. French President Emmanuel
                       Macron has convened crisis talks for Thursday
                       morning.


                # § War in Ukraine⠀➾


                      # ⚓ Meduza ☛ Poland_to_boost_border_security_amid_Wagner
                        redeployment_to_Belarus_—_Meduza⠀⇛


                             The Polish authorities will strengthen the
                             defenses on the country’s eastern border in
                             response to the transfer of Wagner Group
                             forces to Belarus, Deputy Prime Minister
                             Jarosław Kaczyński has announced.


          o § Environment⠀➾


                # § Wildlife/Nature⠀➾


                      # ⚓ Axios ☛ Canada_wildfire_season_now_worst_on_record_as
                        firefighters_battle_nearly_500_blazes⠀⇛


                             Firefighters in Canada are now battling 497
                             active wildfires across the country after 31
                             new blazes ignited, according to the latest
                             data from the Canadian Interagency Forest
                             Fire Centre.


          o § Finance⠀➾


                # ⚓ Breach Media ☛ High_food_prices_don’t_have_to_be_the_‘new
                  normal’⠀⇛


                       Big banks are telling Canadians to get used to high
                       food prices. But there’s nothing natural about
                       inflated prices


          o § AstroTurf/Lobbying/Politics⠀➾


                # ⚓ Drew DeVault ☛ Social_media_and_“parasocial_media”⠀⇛


                       A few months ago, as Elon Musk took over Twitter
                       and instituted polices that alienated many people,
                       some of these people fled towards federated, free
                       software platforms like Mastodon. Many people found
                       a new home here, but there is a certain class of
                       refugee who has not found it to their liking.


          o § Censorship/Free Speech⠀➾


                # ⚓ Project Censored ☛ EARN_IT_Still_Ignores_Privacy,
                  Censorship_Concerns_–_Dispatches_from_Project_Censored:_On
                  Media_and_Politics⠀⇛


                       Dangerous pieces of legislation have been
                       introduced at the federal and state levels under
                       the guise of protecting children online from
                       exploitation and other online harms. Despite their
                       claimed intent, these bills will make children, and
                       everyone who uses the internet, less safe. The
                       Eliminating Abusive and Rampant Neglect of
                       Interactive Technologies (EARN IT) Act has been
                       reintroduced in Congress for the third time despite
                       the concerns of numerous cybersecurity and
                       technology experts, LGBTQ+ and civil rights
                       advocates, and other groups. Opponents of EARN IT
                       argue that increased surveillance and censorship
                       and the dismantling of end-to-end encryption make
                       the online world more dangerous and limit the right
                       to free speech and privacy for everyone.


                # ⚓ RFERL ☛ Belarusian_KGB_Adds_Jailed_Journalist_Mazheyka_To
                  Terrorist_List⠀⇛


                       Belarusian Committee of State Security (KGB) has
                       added imprisoned journalist Henadz Mazheyka to its
                       list of alleged terrorists.


                # ⚓ Hong Kong Free Press ☛ Explainer:_How_3_years_of_the
                  national_security_law_transformed_Hong_Kong_–_Part_I⠀⇛


                       Whilst local authorities promised the security law
                       would only affect a small minority of people, few
                       corners of the city’s social and political
                       landscape have remained untouched by the multi-
                       billion dollar clampdown.


                # ⚓ Hong Kong Free Press ☛ Explainer:_How_3_years_of_the
                  national_security_law_transformed_Hong_Kong_–_Part_II⠀⇛


                       In the three years since the security law was
                       enacted, Hong Kong saw books pulled from library
                       shelves, newsroom raids, democrats behind bars,
                       patriotic education in schools and over 60 civil
                       society groups disappear.


          o § Civil Rights/Policing⠀➾


                # ⚓ Axios ☛ Biden’s_push_for_electric_cars_alienates_longtime
                  union_allies⠀⇛


                       An emerging alignment between the United Auto
                       Workers and former President Trump over electric
                       vehicles threatens to sour the longstanding
                       alliance between the union and the Democratic
                       Party.


                       Why it matters:The UAW, representing more than
                       400,000 active workers, has long been a powerful
                       force in progressive politics, serving as a
                       Midwestern bulwark for Democrats.


          o § Internet Policy/Net Neutrality⠀➾


                # ⚓ Android Authority ☛ YouTube_could_be_testing_a_three-
                  strikes_policy_for_ad_blocking_(Update)⠀⇛


                       Update: YouTube has now confirmed that this test is
                       taking place.


                       Update: June 30, 2023 (3:15 AM ET): YouTube has now
                       confirmed that it is indeed testing a three-strikes
                       policy for ad blocking on its platform. You can
                       read more details, including how it works, over
                       here.


                # ⚓ YouTube_Could_Be_Testing_a_Three-Strikes_Policy_For_Ad
                  Blocking⠀⇛


                       YouTube confirmed to The Verge that it’s currently
                       running “a small experiment globally that urges
                       viewers with ad blockers enabled to allow ads on
                       YouTube or try YouTube Premium.”


          o § Monopolies⠀➾


                # ⚓ Silcon Republic ☛ UK_watchdog_raises_another_alarm_over
                  Adobe-Figma_deal⠀⇛


                       The CMA said Adobe has five working days to submit
                       solutions to satisfy its concerns about competition
                       and innovation in the design sector.


                # ⚓ Game Rant ☛ Canada_Speaks_Out_Against_Microsoft’s
                  Activision_Blizzard_Acquisition⠀⇛


                       Canada’s regulatory authority has spoken up against
                       the proposed Microsoft-Activision deal and has
                       claimed that it might lead to reduced competition.


                # ⚓ Quartz ☛ Satya_Nadella_based_his_case_for_the_Activision
                  deal_on_Microsoft’s_enthusiasm_for_platform_polygamy⠀⇛


                       Regulators and rivals all around the world have
                       been fretting over Microsoft’s bid to buy
                       Activision Blizzard, the maker of titles such as
                       Call of Duty, World of Warcraft, Overwatch, and the
                       mobile game Candy Crush.


                # ⚓ Silicon Angle ☛ Court_filing_shows_Microsoft_Azure
                  generated_lower-than-expected_$34B_in_revenue_in_2022⠀⇛


                       Documents filed by antitrust regulators in a U.S.
                       court this week have finally shed some light on one
                       of the cloud computing industry’s biggest secrets:
                       the true size of Microsoft Corp.’s Azure cloud
                       business unit.



                    ䷩ 𝚕𝚒𝚗𝚎 6060

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 07.01.23⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


Gemini_version_available_♊︎


✐ Gemini_Links_01/07/2023:_“Discord,_Youtube,_Reddit,_and_Twitter_Are_All
Attempting_Self-Destruction”⠀✐


Posted in News_Roundup at 12:17 am by Dr. Roy Schestowitz


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


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


          o § Personal/Opinions⠀➾


                # ⚓ Switching_My_Brain_Off⠀⇛


                       Just now getting a chance to kick back after a busy
                       moving week.


                       We don’t have a ton of stuff (one of the advantages
                       of student life I’ve realized) and had friends and
                       family at both ends of our trip who were able to
                       help load or unload, so the typical moving stuff
                       wasn’t that bad.


                       What definitely wasn’t so great was getting zero
                       hours of sleep the night before we had planned to
                       make the 10 hour drive to our destination. Maybe it
                       was the air mattress, or the cold I caught, or the
                       difficulty of switching off my brain after a long
                       day of packing and cleaning. Most likely all of the
                       above, but I can’t help but think that my mind not
                       wanting to enter sleep mode was the biggest factor.


          o § Politics and World Events⠀➾


                # ⚓ You_Are_Not_An_Ally_Just_Because_You_Say_You_Are⠀⇛


                       Today, the last day of Pride Month, SCOTUS has
                       ruled it is legal for businesses to discriminate
                       against queer people solely because they are queer.


                       I have been sitting on this for nearly two years
                       and I’m getting tired of waffling over whether this
                       is too mean or too _whatever_ to publish. I’m tired
                       of playing to the feelings of cishet people when I
                       am a daily witness to the ongoing genocide of my
                       own people. So as yet another pride month ends, I’m
                       finally putting this out there. Enjoy, or not. If
                       you’re cishet and this post upsets you, I don’t
                       want to hear it. Sit back and think about why you
                       get upset when a transgender woman tells you you’re
                       not doing enough.


                # ⚓ The_Supreme_Court_has_completely_lost_all_credibility_at
                  this_point⠀⇛


                       In case there’s any doubt which Supreme Court I’m
                       referring to, it’s the US one. If you aren’t up on
                       US news, allow me to briefly sum the latest
                       bullshit up.


                       In 2016, a web designer based in Colorado name
                       lorie Smith filed a lawsuit against the state of
                       Colorado for violating her religious freedom, as
                       she wanted to begin doing web design work for
                       engaged couples, but only for straight couples,
                       which under law in Colorado would constitute
                       discrimination on the basis of sexual orientation.


          o § Technology and Free Software⠀➾


                # ⚓ Why_I_dont_like_ads⠀⇛


                       **I recommend anyone to use an adblocker[1]
                       whenever they can.** Despite them being annoying,
                       they’re also good for your privacy.


                # ⚓ Games_Showcase:_Slay_The_Spire⠀⇛


                       Rogue is, of course, the game that spawned a
                       genre—the Roguelikes, and, more recently,
                       Roguelites.


                       I say “of course”, but to be proper long form
                       content this post should really define its terms. I
                       don’t want to go into great depth on what a
                       Roguelike is because it’s been done many times, so
                       I’ll just pull out a few key defining
                       characteristics for you.


                # ⚓ All_Apologies⠀⇛


                       Today I finished my Quality Manager course that was
                       presented online. It was a great experience, made
                       some friends and learned some cool things that I
                       would hopefully be able to use in a future job when
                       I get one, fuck knows when that will be. Anyways.


                       Been super busy this month, and can’t really say
                       exactly what I was spending my time on, the month
                       just flew by without me really getting a grip on
                       time. I guess the move and covid kept me busy?
                       Hopefully I will be more productive in July, things
                       seem to be settling.


                       On my to-do list is definitely to format this
                       Manjaro laptop and install Debian 12 via their
                       netinstall image. Absolutely a beautiful piece of
                       software. You install the iso, you log into your
                       user account, install the software you need, and
                       everything works after a reboot, just beautiful.


                # ⚓ Notfox.com⠀⇛


                       In 2012, I started a website called tiltish,
                       intending to create a
                       platform for individuals to rate / score news
                       articles (how they
                       “tilt” on the political spectrum), and discuss
                       their contents. I
                       thought it might be an interesting way to identify
                       media bias. It was
                       a great opportunity to wrap my head around ajax and
                       a lot of other web
                       programming concepts, and it fed the interest I had
                       at the time in
                       general news media.


                       Through the development and beta-testing cycles of
                       that project, I
                       very quickly came to realize something: all of the
                       news media outlets
                       were biased, and in the same ways. In fact, they
                       functioned as a
                       collective would, and not as individual outlets
                       should.


                # ⚓ Friday_link_roundup:_June_30,_2023⠀⇛


                       This was recommended in a writing Discord I’m in.
                       One way to keep yourself from going back and
                       editing constantly is to just *not see* what you’ve
                       written before. Webdings, Wingdings, or really any
                       other “obscured glyphs” font would work for this,
                       but this one also doubles as a neat way to
                       represent redacted text.


                # ⚓ Using_anacron_to_run_periodic_tasks⠀⇛


                       When you need to regularly run a program on your
                       workstation that isn’t
                       powered 24/7 or even not every day, you can’t rely
                       on cronjob for that
                       task.


                       Fortunately, there is a good old tool for this job
                       (first release June
                       2000), it’s called anacron and it will track when
                       was the last time
                       each configured tasks have been running.


                       I’ll use OpenBSD as an example for the setup, but
                       it’s easily adaptable
                       to any other Unix-like system.


                # § Internet/Gemini⠀➾


                      # ⚓ Tables_in_Gemtext,_the_non-hacky_way⠀⇛


                             There is a lot to unpack in @freezr’s recent
                             post about 4 years of Gemini. However
                             something that I felt compelled to write
                             about was their suggestion to add table
                             syntax to gemtext.


                      # ⚓ Concrete_suggestions_for_Gemini⠀⇛


                             Here’s a short-form list of things I think
                             would help Gemini as a technological
                             ecosystem and as a community.


                      # ⚓ Discord,_Youtube,_Reddit,_and_Twitter_Are_All
                        Attempting_Self-Destruction⠀⇛


                             It’s a rough time for social media. Four
                             giants are currently doing their best to
                             anger their user-base and undermine the
                             purpose of their platforms.


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



                    ䷩ 𝚕𝚒𝚗𝚎 6313

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 07.01.23⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


Gemini_version_available_♊︎


✐ Links_01/07/2023:_More_Woes_for_Social_Control_Media⠀✐


Posted in News_Roundup at 7:18 am by Dr. Roy Schestowitz


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * GNU/Linux
          o Graphics_Stack
          o Instructionals/Technical
          o Games
          o Desktop_Environments/WMs
                # K_Desktop_Environment/KDE_SC/Qt
    * Distributions_and_Operating_Systems
          o BSD
          o Fedora_Family_/_IBM
          o Devices/Embedded
          o Open_Hardware/Modding
          o Mobile_Systems/Mobile_Applications
    * Free,_Libre,_and_Open_Source_Software
          o Events
          o Education
          o Programming/Development
                # Python
          o Standards/Consortia
    * Leftovers
          o Education
          o Hardware
          o Health/Nutrition/Agriculture
          o Proprietary/Artificial_Intelligence_(AI)
          o Security
                # Privacy/Surveillance
          o Defence/Aggression
          o Transparency/Investigative_Reporting
          o Environment
                # Energy/Transportation
                # Overpopulation
          o Finance
          o AstroTurf/Lobbying/Politics
          o Censorship/Free_Speech
          o Civil_Rights/Policing
          o Internet_Policy/Net_Neutrality
          o Monopolies
                # Software_Patents
                # Copyrights
    * § GNU/Linux⠀➾


          o § Graphics Stack⠀➾


                # ⚓ GamingOnLinux ☛ AMD_RADV_gets_feature_to_help_emulation_and
                  translation_layers⠀⇛


                       Some fun news for AMD GPU owners with the open
                       source RADV (Vulkan) Mesa driver, as it recently
                       gained support for fragment shader interlock. This
                       will be useful for emulation and translation
                       layers.


          o § Instructionals/Technical⠀➾


                # ⚓ Data Swamp ☛ Using_anacron_to_run_periodic_tasks⠀⇛


                       When you need to regularly run a program on your
                       workstation that isn’t powered 24/7 or even not
                       every day, you can’t rely on cronjob for that task.


                       Fortunately, there is a good old tool for this job
                       (first release June 2000), it’s called anacron and
                       it will track when was the last time each
                       configured tasks have been running.


                       I’ll use OpenBSD as an example for the setup, but
                       it’s easily adaptable to any other Unix-like
                       system.


                # ⚓ University of Toronto ☛ In_practice,_cool_URLs_can_become
                  inaccessible_even_if_they_don’t_change⠀⇛


                       The idea that “cool URLs don’t change” has been an
                       article of faith for a very long time. Of course
                       this is false in practice; decades of experience
                       have shown us that cool URLs do change for all
                       sorts of reasons (for example, forced changes in
                       your domain name). Recently, we’ve seen at least
                       two examples where cool URLs may not change as
                       such, but they do become broadly inaccessible.


                # ⚓ University of Toronto ☛ The_persistence_of_‘san’_names_in
                  our_environment⠀⇛


                       We have a bunch of Linux fileservers, which use ZFS
                       pools on ordinary SATA SSDs and export the
                       filesystems from those pools over NFS. To make
                       managing this environment easier, we have a suite
                       of local programs (including our own ZFS spares
                       system). All of these tools have names that start
                       with ‘san’ (for example ‘sanpool’ and ‘sanspares’).
                       All of the hostnames of the fileservers also start
                       with ‘san’ (they’re mostly but not entirely named
                       after cities, so we have ‘santafe’ but also
                       ‘sanandreas’, which is of course the test
                       fileserver). All of this is despite there being no
                       SAN (Storage Area Network) in sight.


                # ⚓ Manuel Matuzovic ☛ the_details_element_and_in-page_search⠀⇛


                       An important factor in terms of UX and
                       accessibility for deciding whether the <details>
                       element is the right solution for a problem is the
                       find-in-page behaviour.


                       In Chromium-based browsers, the details element
                       automatically opens when it contains a string the
                       user searches for. If Safari and Firefox, it has to
                       be opened for the find-in-page feature to find the
                       string.


                # ⚓ [Repeat] HowTo Forge ☛ How_to_Set_Up_a_Local_DNS_Resolver
                  with_Unbound_on_Debian⠀⇛


                       In this guide, you will learn how to set up Private
                       DNS Server with Unbound on a Debian 11 and Debian
                       12 server. You’ll set up Unbound as a Local DNS
                       Server with some features such as an authoritative
                       DNS Server, enable DNS cache, set up local IP
                       address and Access Control Lists (ACLs), setup
                       local domain names, then set up Unbound as a DNS
                       resolver with DNS-over-TLS (DoT) enabled.


                       In addition to that, you’ll also set up logging for
                       Unbound service via Rsyslog and Logrotate.


                # ⚓ Linux Handbook ☛ Clearing_Pip_Cache⠀⇛


                       You can built-in cache functionality in pip that
                       plays its role by reducing the time while doing
                       duplicate downloads and builds.


                # ⚓ Linux Cloud VPS ☛ How_to_Install_Gitea_on_AlmaLinux_9⠀⇛


                       In this tutorial, we are going to explain in step-
                       by-step detail how to install Gitea on AlmaLinux 9
                       OS.


          o § Games⠀➾


                # ⚓ GamingOnLinux ☛ The_final_free_game_in_the_GOG_Summer_Sale
                  2023_is_Beholder_2⠀⇛


                       One final free game is here for you during the GOG
                       Summer Sale 2023! You can now get Beholder 2 from
                       Warm Lamp Games and Alawar Premium. The giveaway
                       for Beholder 2 on GOG lasts until Monday July 3rd,
                       1 PM UTC.


                # ⚓ GamingOnLinux ☛ Steam_Deck_now_the_global_#1_top_seller_on
                  Steam⠀⇛


                       With the Steam Summer Sale 2023 now in full swing,
                       and with a big discount on the Steam Deck, it has
                       risen back up the Steam charts. It’s not a big
                       surprise really, especially the top end model at a
                       20% discount marking the price down from £569
                       to £455.20. That’s a pretty huge saving on one of
                       the best PC handhelds around.


                # ⚓ GamingOnLinux ☛ Part_4_of_the_Wine_work_for_Wayland_is_now
                  merged⠀⇛


                       The fourth part of an ongoing series of submission
                       to Wine to get full Wayland support has been merged
                       in. The merge request was opened 4 weeks ago, and
                       it was merged into the Wine project on June 29th.


                # ⚓ GamingOnLinux ☛ Valve_appear_to_be_banning_games_with_AI
                  art_on_Steam⠀⇛


                       Here’s an interesting one on Steam publishing for
                       you. Valve appear to be clamping down on AI art
                       used in games due to the murky legal waters. AI art
                       is such a huge topic of discussion everywhere right
                       now, as is other forms of “AI” like ChatGPT and
                       it’s just — everywhere. I can’t seem to get away
                       from talk on it from people for and against it.


          o § Desktop Environments/WMs⠀➾


                # § K Desktop Environment/KDE SC/Qt⠀➾


                      # ⚓ Nate Graham ☛ This_week_in_KDE:_Plasma_6_development
                        continues⠀⇛


                             Our “Plasma 6” info page gained some useful
                             information such as a “how to use/test it”
                             section as well as some more narrowly-
                             targeted lists of bugs that can be used to
                             guide development. I’ve linked the “Plasma 6
                             bugs” list above, and will continue to do so
                             in coming weeks.


    * § Distributions and Operating Systems⠀➾


          o ⚓ HaikuOS ☛ TUN/TAP_Development_Update_2⠀⇛


                 Not too much on this front since there still needs to be
                 a working TUN Driver but huge thanks to Begasus’s OpenVPN
                 recipe that was posted to haikuports a couple of weeks
                 back which helps me out a lot and I can just update it as
                 I go.


          o ⚓ Adafruit ☛ An_improved_kiosk_operating_system⠀⇛


                 The author ran several similar setups in production for
                 years and has seen a lot of problems and strange failure
                 modes. This project aims to solve a lot of those (at
                 least for the author), it might also be useful for
                 others.


          o § BSD⠀➾


                # ⚓ Alexander Bluhm ☛ OpenBSD_perform_all_test_results⠀⇛


                       created at 2023-06-27T11:52:03Z


                # ⚓ Vermaden ☛ NFSv4_Server_Inside_FreeBSD_VNET_Jail⠀⇛


                       The good thing is that You do not longer need to
                       patch and rebuild FreeBSD to have this ability to
                       run nfsd(8) NFSv4 server inside FreeBSD Jail. Its
                       already ‘upstream’ in the 14-CURRENT and 13-STABLE
                       branches.


                       Today I am going to test how that new feature works
                       and I will show you how to configure it within a
                       VNET Jail. If you would like to know how the VNET
                       Jails work take a look at my recent FreeBSD Jails
                       Containers article for the details.


          o § Fedora Family / IBM⠀➾


                # ⚓ Hackaday ☛ Rocky_Strikes_Back_At_Red_Hat⠀⇛


                       The world of Linux has seen some disquiet over
                       recent weeks following the decision of Red Hat to
                       restrict source code distribution for Red Hat
                       Enterprise Linux (RHEL) to only their paying
                       customers. We’re sure that there will be plenty of
                       fall-out to come from this news, but what can be
                       done if your project relies upon access to those
                       Red Hat sources?


                       The Red-Hat-derived Rocky Linux distro relies on
                       access to RHEL source, so the news could have been
                       something of a disaster. Fortunately for Rocky
                       users though, they appear to have found a reliable
                       way to bypass the restriction and retain access to
                       those RHEL sources. Red Hat would like anyone
                       wanting source access to pay them handsomely for
                       the privilege, but the Rocky folks have spotted a
                       way to bypass this. Using readily available cloud
                       images they can spin up a RHEL system and use it to
                       download their sources, and they can do this as an
                       automated process.


                       We covered this story as it unfolded last week, and
                       it seemed inevitable then that something of this
                       nature would be found, as for all Red Hat’s wishes
                       a GPL-licensed piece of code can’t be prevented
                       from being shared. So Rocky users and the wider
                       community will for now retain access to the code,
                       but will Red Hat strike back? It’s inevitable that
                       there will be a further backlash from the community
                       against any such moves, but will Red Hat be
                       foolhardy enough to further damage their standing
                       in this regard? They’re certainly not the only
                       large distro losing touch with their users.


          o § Devices/Embedded⠀➾


                # ⚓ Pair of Pared Pears ☛ Three_pitfalls_in_I2C⠀⇛


                       I2C is a multi-master, low-speed, bidirectional bus
                       specified in NXP UM10204. There are only two
                       signals: SCL (the clock) and SDA (the data). Each
                       of the signals is open-drain, with resistors
                       pulling the signals high. This property is used
                       throughout the protocol. For example, by defining
                       an acknowledgement (ack) as holding SDA low, there
                       is an implicit negative acknowledgement (nack) when
                       no device responds to a transaction.


          o § Open Hardware/Modding⠀➾


                # ⚓ Linux Gizmos ☛ Pi-like_SBC_taps_Rockchip_RK3588S_SoC⠀⇛


                       The Indiedroid Nova is a single board computer with
                       the same form factor as the popular Raspberry Pi 4B
                       and powered by the Rockchip RK3588S SoC. This SBC
                       supports up to 16GB of RAM and offers 8K video
                       capability.


                # ⚓ Linux Gizmos ☛ Silicon_Labs_kit_comes_with_2.4GHz_antenna
                  and_environment_sensors⠀⇛


                       The xG27-DK2602A development kit is a tiny board
                       featuring a Silicon Labs Wireless Gecko SoC for
                       portable IoT applications. This kit offers a range
                       of features including four environment sensors,
                       onboard debugger and up to 20 I/Os.


                # ⚓ Purism ☛ Introducing_the_Liberty_Phone⠀⇛


                       Introducing the Liberty Phone with more RAM and
                       more drive space, starting at $2199.


                       The Liberty Phone is the upgraded version of our
                       popular Librem 5 USA phone with Made in USA
                       Electronics. The Liberty Phone integrates 4GB of
                       RAM and 128GB of internal storage.


                       All the electronics of the Liberty Phone are made
                       in our USA facility, and the entire phone is
                       assembled at that same facility, using the same
                       manufacturing process we used for the Librem 5
                       devkits in 2018 and Librem Key that has the Made in
                       the USA label started in 2019. By doing all
                       electronics fabrication, assembly, and fulfillment
                       within the same facility Purism can oversee each
                       stage of the production.


                # ⚓ Terence Eden ☛ Review:_Watchy_–_an_eInk_watch_full_of
                  interesting_compromises⠀⇛


                       It is an Arduino powered, open source, eInk
                       display, with no data guzzling tendancies. And is
                       only £60 including delivery. It’s gorgeous to look
                       at without being distracting, has a massive battery
                       life, and allows for a bunch of tinkering.


                # ⚓ Arduino ☛ Watch_this_mesmerizing_machine_roll_a_ball_into
                  eternity⠀⇛


                       This project is a real life representation of the
                       those simulation GIFs that show virtual machines
                       moving balls in endless cycles. A simulation like
                       that is easy to make when you don’t have to adhere
                       to physics, but it takes some doing to accomplish
                       the same thing in real life. Perpetual motion is,
                       of course, impossible. So this machine utilizes
                       motor-driven mechanisms to keep a ball moving
                       around a vertical track. That track is clear laser-
                       cut acrylic, while the rest of the custom parts are
                       3D-printed.


                # ⚓ Bunnie Huang ☛ Name_that_Ware,_June_2023⠀⇛


                       I tested the image against Google Image search and
                       this particular crop of the ware seems to foil any
                       exact matches. However, if you do manage to find an
                       exact hit with a simple image search engine query,
                       I’d be curious to know what you’re using, so I can
                       use this to test against future wares.


                # ⚓ Computers Are Bad ☛ calling_in_the_alarm⠀⇛


                       Let’s briefly recap the architecture of a typical
                       intrusion alarm. An intrusion alarm system (and
                       essentially the same goes for fire alarms as well)
                       consists of a controller that monitors sensor
                       zones. When the controller detects that a sensor
                       has been violated while the system is alarmed, it
                       enters the alarm state. Once this happens, it
                       reports the alarm to a Central Alarm Receiver (CAR)
                       at a Central Alarm Station (CAS). The CAS is then
                       responsible for dispatching emergency services (or
                       private security) to respond to the alarm.


          o § Mobile Systems/Mobile Applications⠀➾


                # ⚓ With_the_Pixel_Fold,_Google_might_have_given_brands_a_stock
                  Android_for_foldables!⠀⇛


                # ⚓ Forbes ☛ Android_Circuit:_Galaxy_S23_FE_Leaked_Details,
                  OnePlus_V_Fold_Specs,_Asus’_Surprisingly_Small_Smartphone⠀⇛


                # ⚓ CNET ☛ Android_Auto_Lets_You_Use_Google_Maps_on_Phone,_Car
                  Display_Simultaneously_–_CNET⠀⇛


                # ⚓ Android Police ☛ Android_Auto_is_letting_people_use_Google
                  Maps_on_their_phone_and_car_at_the_same_time_again⠀⇛


                # ⚓ 9to5Google ☛ Google_updates_Android_logo_with_3D_robot
                  head,_new_wordmark⠀⇛


                # ⚓ Notebook Check ☛ Onyx_reveals_BOOX_Page_7-inch_E-Reader
                  with_Android_11_and_octa-core_CPU_–_NotebookCheck.net_News⠀⇛


                # ⚓ Hot Hardware ☛ Google_Pixel_7a_Android_Phone_Review:_Near
                  Pixel_Perfect_|_HotHardware⠀⇛


                # ⚓ The Sun ☛ Samsung_warns_all_Android_phone_owners_over_8
                  battery-draining_‘vampire’_settings_–_including_using_the
                  wrong_wallpaper_|_The_US_Sun⠀⇛


                # ⚓ The Sun ☛ People_are_realizing_Android_phones_have_17
                  ‘battery_draining’_settings_–_change_full_list_to_get_instant
                  charge_boost_|_The_US_Sun⠀⇛


                # ⚓ Android Central ☛ Lenovo_Tab_P11_Plus_vs._Nokia_T20:
                  Choosing_the_right_budget_Android_tablet_|_Android_Central⠀⇛


                # ⚓ 9to5Google ☛ Netflix_adds_frame_rate_matching_on_Google_TV
                  and_Android_TV⠀⇛


                # ⚓ HowTo Geek ☛ Stop_Buying_No-Name_Budget_Android_TV_Boxes⠀⇛


                # ⚓ Geeky Gadgets ☛ How_to_back_up_your_Android_Phone_–_Geeky
                  Gadgets⠀⇛


                # ⚓ Make Use Of ☛ How_to_Get_a_Voice-Controlled_Version_of
                  ChatGPT_on_Android_With_VoiceGPT⠀⇛


                # ⚓ 9to5Google ☛ How_to_set_a_constant_taskbar_on_the_Pixel
                  Fold_or_Tablet_in_Android⠀⇛


                # ⚓ Make Use Of ☛ How_to_Set_Up_and_Use_TalkBack_on_Android⠀⇛


                # ⚓ Geeky Gadgets ☛ How_to_set_up_a_new_Android_Phone_–_Geeky
                  Gadgets⠀⇛


                # ⚓ Make Use Of ☛ How_to_Create_an_Emoji_Wallpaper_on_Your
                  Android_Phone⠀⇛


    * § Free, Libre, and Open Source Software⠀➾


          o ⚓ Gilles Chehade ☛ 2023-Q2:_music,_unity,_xgb,_jujulang,_setdb_and
            opensmtpd⠀⇛


                 Then Omar Polo came out of nowhere, synchronized the
                 repository with upstream, pushed some of the portable
                 diffs to OpenBSD, made sure it built on various distros …
                 and asked me if we could make a release.


                 He essentially took the dying portable project, revived
                 it, brought it back to date and crafted a release in less
                 than two weeks… this was awesome work.


          o ⚓ [Repeat] Drew DeVault ☛ Social_media_and_“parasocial_media”⠀⇛


                 On traditional “social media” platforms, in particular
                 YouTube, the interactions are often not especially
                 social. The platforms facilitate a kind of intellectual
                 consumption moreso than conversation: conversations flow
                 in one direction, from creator to audience, where the
                 creator produces and the audience consumes. I think a
                 better term for these platforms is “parasocial media”:
                 they are optimized for creating parasocial relationships
                 moreso than social relationships.


                 The fediverse is largely optimized for people having
                 conversations with each other, and not for producing and
                 consuming “content”. Within this framework, a “content
                 creator” is a person only in the same sense that a
                 corporation is, and their conversations are
                 unidirectional, where the other end is also not a person,
                 but an audience. That’s not the model that the fediverse
                 is designed around.


          o § Events⠀➾


                # ⚓ OpenSUSE ☛ openSUSE.Asia_Summit_2023_Call_For
                  Sponsorships⠀⇛


                       The openSUSE.Asia Committee is seeking sponsors for
                       the ninth openSUSE.Asia Summit. The summit will
                       take place in Chongqing, China, from Oct. 21–23,
                       2023. Our participants are FLOSS users, developers,
                       students and people who are interested in FLOSS
                       from a wide range of different industries. The
                       sponsorship is for accommodation, food, publicity,
                       etc.


                       We are aiming to provide a low-barrier offline
                       platform for users, contributors and developers to
                       meet. Relationships between open-source enthusiasts
                       can be greatly facilitated through offline summits.
                       It is also an opportunity for technologists to
                       share and promote the latest trends in technology
                       and to exchange experiences. Sponsorship is an
                       expression of your appreciation and recognition of
                       our community and our work goals.


          o § Education⠀➾


                # ⚓ Rlang ☛ Graph_Data_Modeling_with_Python⠀⇛


                       This books takes you from a nascent understanding
                       of graph data science methods to a more confident
                       user, all in under 250 pages.


                # ⚓ FreeBSD ☛ Hackathon_October_4th-6th_Oslo,_Norway⠀⇛


                       Developers are welcome to invite guests to attend
                       the developer summit, subject to their tolerance
                       for ceaseless hours of kernel hacking, and
                       availability of space at the venue.


                # ⚓ Bruno Rodrigues ☛ How_to_self-publish_a_technical_book_on
                  Leanpub_and_Amazon_using_Quarto⠀⇛


                       UPDATE: I’ve update this blog post on the 30 of
                       June 2023. I corrected a statement where I said
                       that the _quarto.yml file is where you can choose
                       the version of R to compile the book. That’s wrong,
                       choosing the version of R to compile the book is
                       done on the Github Actions workflow. I’ve also
                       added some answers to questions I got on social
                       media.


                       So I’ve recently self-published a book on both
                       Leanpub as an Ebook and Amazon as a physical book
                       and thought that it would be worth it to write down
                       how to do it. I’ve wasted some time getting
                       everything to work flawlessly so if you’re looking
                       for a guide on how to create both an ebook and a
                       print-ready PDF for Amazon’s Kindle Direct
                       Publishing service using Quarto, you’ve come to the
                       right place.


          o § Programming/Development⠀➾


                # ⚓ Yoshua Wuyts ☛ Tree-Structured_Concurrency⠀⇛


                       For a while now I’ve been trying to find a good way
                       to explain what structured concurrency is, and how
                       it applies to Rust. I’ve come up with zingers such
                       as: “Structured concurrency is structured
                       programming as applied to concurrent control-flow
                       primitives”. But that requires me to start
                       explaining what structured programming is, and
                       suddenly I find myself 2000 words deep into a
                       concept which seems natural to most people writing
                       programs today 1.


                       Instead I want to try something different. In this
                       post I want to provide you with a practical
                       introduction to structured concurrency. I will do
                       my best to explain what it is, why it’s relevant,
                       and how you can start applying it to your rust
                       projects today. Structured concurrency is a lens I
                       use in almost all of my reasoning about async Rust,
                       and I think it might help others too. So let’s dive
                       in.


                       This post assumes some familiarity with async Rust
                       and async cancellation. If you aren’t already, it
                       might be helpful to skim through the earlier posts
                       on the topic.


                # ⚓ Software At Scale ☛ Quadratic_C.I._Cost_Growth⠀⇛


                       A significant portion of cost of software
                       infrastructure at a technology organization is due
                       to CI/CD (Continuous Integration/Continuous
                       Deployment). It is easy to overlook CI cost since
                       CI isn’t strictly required to operate a software
                       application, but it’s a critical component of the
                       software development lifecycle.


                       A less obvious aspect of CI cost is that, in some
                       cases, it can increase at a quadratic rate over
                       time. John Micco, the ex lead of the Google Test
                       Automation Platform group, mentioned that Google
                       would spend more on CI than the rest of its compute
                       combined if it didn’t introduce serious
                       optimizations along the way.


                # ⚓ CER ☛ Putting_a_Teaspoon_of_Programming_into_Other_Subjects
                  (May_2023_Communications_of_the_ACM):_About_Teaspoon
                  Languages⠀⇛


                       For example, we use the phrase “teaspoon languages”
                       and not “teaspoon programming languages.” The term
                       “teaspoon” comes from the shorthand “TSP” for
                       “Task-Specific Programming.” So, the “programming”
                       bit is already in there. But in particular, I don’t
                       want to generate the reaction, “But, hey, that
                       doesn’t look like a real programming language…”


                # ⚓ Buttondown ☛ Programming_Language_Perversity⠀⇛


                       Harold Abelson once said that code should be
                       written for humans to read and only incidentally
                       for computers to write. It follows that, like any
                       form of communication, code can carry emotions.
                       Programming perversity, then, is code that conveys
                       morbid fascination, the kind of amused horror where
                       you cover your eyes but peek through your fingers.
                       Take some innocuous features of a programming
                       language and then bend it all into a pretzel.
                       Congratulations, you’ve made performance art.


                # § Python⠀➾


                      # ⚓ James G ☛ Maintaining_mf2py⠀⇛


                             Over the last week, I have been working with
                             contributors on new documentation and
                             charting a path toward deprecating Python 2
                             support, which was consumed by a few
                             applications. Indeed, backwards compatability
                             has been at the heart of microformats:
                             standards require long-term, robust support.
                             We collectively decided that the work
                             required to maintain support would have been
                             extensive, while holding us back from taking
                             on an important task: modernize the library.


          o § Standards/Consortia⠀➾


                # ⚓ [Old] Greg Fawcett ☛ Email_is_an_open_system,_right?_Anyone
                  can_send_a_message_to_anyone…_unless_they_are_on_Gmail!⠀⇛


                       “An unusual rate of unsolicited mail”? We’ve
                       established we don’t send spam, and Google’s own
                       Postmaster Tools can’t detect any spam, so it seems
                       to me that Gmail’s detection algorithm is broken.


                       And it has been broken for a while, because we’ve
                       been rate-limited for months. We’ve done everything
                       we can to alert Google to the problem, and this
                       blog post is a last-ditch attempt to get the
                       message across. If you know anyone at Google,
                       please send them a link.


                       Wait, I think I hear another “but”!


                       BUT… Problems like this are killing independant
                       email.


                # ⚓ US News And World Report ☛ As_if_Air_Travel_Isn’t_Hard
                  Enough,_5G_Wireless_Signals_Could_Disrupt_Flights_Starting
                  This_Weekend⠀⇛


                       Airline passengers who have endured tens of
                       thousands of weather-related flight delays this
                       week could face a new source of disruptions
                       starting Saturday, when wireless providers are
                       expected to power up new 5G systems near major
                       airports.


                       Aviation groups have warned for years that 5G
                       signals could interfere with aircraft equipment,
                       especially devices using radio waves to measure
                       distance above the ground and which are critical
                       when planes land in low visibility.


    * § Leftovers⠀➾


          o § Education⠀➾


                # ⚓ Sumana Harihareswara ☛ On_Choosing_Work_Environments⠀⇛


                       In big institutions — such as higher education and
                       government and companies that have over, say, 300
                       employees — it matters so much whether you have a
                       champion. Someone who is savvy and entrepreneurial
                       about the resources they can command, can manage
                       the diplomacy and process stuff to remove or
                       alleviate barriers and annoyances for you, and is,
                       ideally, the main person you have to report to (I
                       say this since sometimes reporting structures get
                       complex and you kind of report to multiple people),
                       or is 1-2 levels above you and knows who you are.
                       Someone who likes you and thinks you are brilliant
                       and that your work matters.


                # ⚓ NBC ☛ Ron_DeSantis_says_he_would_eliminate_four_federal
                  agencies_if_elected_president⠀⇛


                       Florida Gov. Ron DeSantis said Wednesday that if he
                       is elected president he would seek to close four
                       federal agencies as part of an effort to reduce the
                       size of government.


                       “We would do Education, we would do Commerce, we’d
                       do Energy, and we would do IRS,” DeSantis said in
                       an interview with Fox News’ Martha MacCallum when
                       he was asked whether he favored closing any
                       agencies.


                # ⚓ RFERL ☛ Rural_School_Closures_Seen_As_Taliban_Effort_To
                  Impose_Full_Control_Over_Afghan_Education⠀⇛


                       But since mid-April, nearly 1,600 CBE centers in
                       Kandahar Province have been closed, depriving
                       50,000 students of an education. Similar numbers
                       have been recorded in neighboring Helmand Province
                       in a nationwide trend.


                # ⚓ Al Monitor ☛ Turkey’s_conservatives_tighten_grip_on_schools
                  as_imams_appointed_‘spiritual_counselors’⠀⇛


                       The public reaction to the project came after media
                       reports that Izmir’s Religious Affairs Office had
                       notified more than 800 elementary and secondary
                       schools — one-third of all the schools within the
                       city borders — that they were assigning imams and
                       preachers for spiritual guidance for students. For
                       the last two weeks, several parents’ associations,
                       left-wing community centers (halkevleri) and
                       opposition parties led by Republican People’s Party
                       (CHP) have staged demonstrations under the banner,
                       “Teachers to schools, Imams to mosques,” in the
                       multifaith city, which predominantly voted for the
                       CHP in the last election.


                # ⚓ Hindu Post ☛ Leading_Islamist_seminary_Darul_Uloom_Deoband
                  bans_students_from_learning_English_or_‘any_other_language’⠀⇛


                       Criticizing the management’s decision, a student,
                       requesting anonymity, said, “While we acknowledge
                       that Darul Uloom is dedicated to Islamic studies,
                       preventing students from learning English or any
                       other language seems unreasonable.”


                # ⚓ Tim Kadlec ☛ The_Single_Visionary_Fairytale⠀⇛


                       But the thing that bothers me each time I see the
                       comic is that it pushes the problematic “single
                       visionary” narrative.


                       At best, it’s a dangerous and risky mindset. At
                       worst, it can be quite toxic.


          o § Hardware⠀➾


                # ⚓ The Drone Girl ☛ U.S._Air_Force_is_using_drones_for_an
                  unexpected_reason_—_fighting_wildfires⠀⇛


                       St. Louis-based aerospace startup, WingXpand,
                       announced this month that it had won a seven-figure
                       contract with the U.S. Air Force for its 7-foot,
                       wide expandable aircraft (the company calls it
                       “backpackable” given how it can fold down in size).
                       Along with the drone itself, the U.S. Air Force’s
                       contract also covers WingXpand’s AI software that
                       supports the early detection and mitigation of
                       wildfires.


                # ⚓ Tom’s Hardware ☛ Loongson_to_Double_Thread_Count_on_Next-
                  Gen_3A6000_CPUs⠀⇛


                       Loongson’s SMT implementation in its next-
                       generation 3A6000-series processors is similar to
                       AMD’s and Intel’s and enables one physical CPU core
                       to process two threads at the same time. Therefore,
                       the company’s quad-core 3A6000 processor for client
                       PCs will be able to process eight threads
                       simultaneously. Meanwhile, Loongson’s datacenter
                       grade 32-core 3D6000 CPU will be able to process 64
                       threads at once.


          o § Health/Nutrition/Agriculture⠀➾


                # ⚓ NDTV ☛ In_A_World’s_First,_Australia_Legalises_Ecstasy,
                  Magic_Mushrooms_For_Mental_Health⠀⇛


                       “The Therapeutic Goods Administration (TGA) will
                       permit the prescribing of MDMA for the treatment of
                       post-traumatic stress disorder and psilocybin for
                       treatment-resistant depression. These are the only
                       conditions where there is currently sufficient
                       evidence for potential benefits in certain
                       patients,” Australia’s Therapeutic Goods
                       Administration, or TGA, said in the release.


                # ⚓ Science News ☛ Boys_experience_depression_differently_than
                  girls._Here’s_why_that_matters⠀⇛


                       Teenagers in the United States are in crisis. That
                       news got hammered home earlier this year following
                       the release of a nationally representative survey
                       showing that over half of high school girls
                       reported persistent feelings of “sadness or
                       hopelessness” — common words used to screen for
                       depression. Almost a third of teenage boys reported
                       those same feelings.


                       “No one is doing well,” says psychologist Kathleen
                       Ethier. She heads the U.S. Centers for Disease
                       Control and Prevention’s Division of Adolescent and
                       School Health, which has overseen this biennial
                       Youth Risk Behavior Survey since 1991.


                # ⚓ The Scientist ☛ Antimicrobial_Resistance:_The_Silent
                  Pandemic⠀⇛


                       Even then, Alexander Fleming, co-recipient of the
                       Nobel Prize for the discovery, warned in his 1945
                       Nobel Prize speech that misuse of the drug could
                       lead to antibiotic resistance. Indeed, within two
                       years of Fleming’s speech, the first accounts of
                       resistance emerged. Now, antimicrobial resistance
                       (AMR) is one of the greatest threats to modern
                       life. AMR is responsible for nearly 700,000 deaths
                       worldwide each year, and it is projected to kill 10
                       million per year by 2050.


          o § Proprietary/Artificial Intelligence (AI)⠀➾


                # ⚓ Silicon Angle ☛ Polymorphic_malware_and_the_rise_of_new
                  ‘moving_target’_defensive_security⠀⇛


                       An old security technology that has gotten little
                       attention is finally ready for a new closeup.


                       It goes by the name polymorphic code — or
                       alternatively, automated moving target defense or
                       AMTD — and it has been around for nearly a decade.
                       It came into its own around 2017 when was
                       popularized by both malware writers and defenders.


                       And once again, security professionals are playing
                       another cat-and-mouse game, but this time the
                       stakes are a lot higher thanks to better tools on
                       both sides.


                # ⚓ Silicon Angle ☛ VMware_researchers_issue_alert_on_rising
                  8Base_ransomware_activity⠀⇛


                       First detected in March 2022, the 8Base ransomware
                       group uses encryption and “name-and-shame” tactics
                       to force victims to pay a ransom, with victims
                       across multiple industries.


                       Despite the relative obscurity of 8Base, its recent
                       surge in activity is said by the researchers to
                       indicate an experienced and well-organized threat
                       actor. The group’s operations have similarities to
                       previous ransomware campaigns, suggesting a level
                       of sophistication and experience despite the
                       group’s recent emergence on the ransomware and
                       hacking scene.


                # ⚓ India Times ☛ Twitter_now_requires_users_to_sign_in_to_view
                  tweets⠀⇛


                       Musk has previously expressed displeasure at
                       artificial intelligence firms like OpenAI, the
                       owner of ChatGPT, using Twitter’s data to train
                       their large language models.


                       “We absolutely will take legal action against those
                       who stole our data & look forward seeing them in
                       court, which is (optimistically) 2 to 3 years from
                       now,” he said.


                       In a letter addressed to Microsoft CEO Satya
                       Nadella, Musk’s lawyer Alex Spiro in May asked the
                       tech giant to conduct an audit of its use of
                       Twitter’s content, alleging the Windows developer
                       violated an agreement over using the social media
                       company’s data.


                # ⚓ Teleport ☛ Teleport_Files⠀⇛


                       In this blog post, we’ll cover how to transfer
                       files from one server to another. At Teleport we’ve
                       covered the progression of technology used to
                       transfer files — from SCP – Familiar, Simple,
                       Insecure, and Slow to using SFTP. In this blog
                       post, we’ll show you how to transfer files using
                       Secure Copy Protocol (SCP) in 2023, which under the
                       hood is actually SFTP, OpenSSH & open-source
                       Teleport changed the underlying technology in
                       OpenSSH 9 and Teleport 11.


                # ⚓ Matt Rickard ☛ Personal_Lessons_From_LLMs⠀⇛


                       Breaking a big problem into subproblems is often a
                       great strategy. Asking an LLM to solve a complex
                       problem or write an intricate program is bound to
                       fail. Even with chain-of-thought prompting, these
                       models can easily get sidetracked. Instead, they
                       are most effective when asked to solve smaller
                       problems. Things that can fit inside a reasonable
                       context window — e.g., a small function (rather
                       than an entire program) or a paragraph of a book
                       (rather than a whole book).


                # ⚓ Matt Rickard ☛ Overcoming_LLM_Hallucinations⠀⇛


                       LLMs are reasoning engines that mimic expert
                       responses in nearly any domain. However, sometimes
                       the plausible-sounding output is nonsense on closer
                       inspection.


                # ⚓ Meduza ☛ Tinder_stops_working_in_Russia⠀⇛


                       Additionally, Tinder is no longer available in the
                       App Store or the Google Play Store.


                # ⚓ Digital Music News ☛ Why_Stop_At_Distribution?_ByteDance
                  Launches_AI-Powered_Music_Creation_App_Ahead_of_Rumored
                  ‘TikTok_Music’_Streaming_Service_Rollout⠀⇛


                       According to TechCrunch, these AI functions have
                       been “trained on music that is licensed to or owned
                       by ByteDance” and specifically include a tool with
                       which one can hum or sing a melody and then see
                       artificial intelligence turn this input into an
                       instrumental song.


                       It’s unclear if lyrics and vocals will be
                       incorporated down the line, but the length of the
                       AI tracks at hand is currently said to match the
                       length of the audio that one provides. Similarly,
                       while Ripple remains a standalone app at present,
                       time will tell whether at least a portion of its
                       components (and particularly those that enable
                       anyone to generate music instantly) will expand
                       into TikTok proper.


                # § Windows TCO⠀➾


                      # ⚓ Scoop News Group ☛ US_Patent_and_Trademark_Office
                        data_leak_exposed_61K_private_addresses⠀⇛


                             The U.S. Patent and Trademark Office
                             acknowledged Thursday that 61,000 private
                             addresses of trademark applicants were
                             inadvertently exposed in a years-long data
                             leak between February 2020 and March 2023.


                             The trademark office said the data leak
                             affected about 3% of the total number of
                             trademark applicants filed during the three-
                             year period and that the issue was fully
                             fixed on April 1, without any data having
                             been misused.


                      # ⚓ Data Breaches ☛ Paying_the_ransom:_Hospitals_face
                        hard_choices_in_cyberattacks_|_Special_Report⠀⇛


                             And if you’re thinking about paying, who are
                             you making the payment to? Are you paying
                             someone who is on the sanctioned list? Are
                             you paying threat actors who are working for
                             governments hostile to the U.S. who will use
                             the funds to develop weapons to use against
                             us?


                      # ⚓ MJH Life Sciences ☛ Paying_the_ransom:_Hospitals_face
                        hard_choices_in_cyberattacks_|_Special_Report⠀⇛


                             Large health systems, including CommonSpirit
                             Health, have encountered ransomware attacks,
                             but experts say smaller hospitals and systems
                             are increasingly at risk.


                             Some cyberattacks have targeted the
                             electronic medical records systems, while
                             others are aimed at acquiring patient data
                             and selling it on the dark web. Hundreds of
                             data breaches involving private health data
                             occur annually, affecting millions of
                             Americans.


          o § Security⠀➾


                # § Privacy/Surveillance⠀➾


                      # ⚓ European Commission ☛ Data_Act:_Commission_welcomes
                        political_agreement_on_rules_for_a_fair_and_innovative
                        data_economy⠀⇛


                             European Commission Press release Brussels,
                             28 Jun 2023 The Commission welcomes the
                             political agreement reached today between the
                             European Parliament and the Council of the
                             EU, on the European Data Act, proposed by the
                             Commission in February 2022.


                      # ⚓ European Commission ☛ Data_Act_–_Questions_and
                        Answers*⠀⇛


                             European Commission Questions and answers
                             Brussels, 28 Jun 2023 Why do we need a Data
                             Act?


                             Currently, the full value of data in the
                             European economy is not being reaped due to a
                             number of factors.


                      # ⚓ Patrick Breyer ☛ European_Digital_Identity:_Permanent
                        personal_identification_number_is_off_the_table!⠀⇛


                             The requirement that member states assign a
                             lifelong unique personal identification
                             number to each citizen, which had been
                             opposed by Pirate Party MEPs in several
                             committees, was completely removed from the
                             draft. The Pirates were also able to prevent
                             the mandatory acceptance of state browser
                             certificates, but rejections due to
                             insufficient security will need to be
                             justified. The details of the agreements will
                             now be negotiated in further technical
                             meetings and will probably be finalised in
                             another trialogue under the Spanish
                             Presidency in autumn.


                             Pirate Party MEP Patrick Breyer, who
                             negotiated the bill in the co-advisory
                             Committee on Civil Liberties (LIBE),
                             comments: [...]


                      # ⚓ OpenRightsGroup ☛ Online_Safety_Bill:_Peers_need_to
                        consider_privacy_risks_of_age_verification⠀⇛


                             Open Rights Group has responded to the
                             government’s announcement that the Online
                             Safety Bill will require “pornography
                             companies, social media platforms and other
                             services to be explicitly required to use age
                             verification or estimation measures to
                             prevent children accessing pornography”.


                             Dr Monica Horten, policy manager for freedom
                             of expression at Open Rights Group, said:
                             [...]


                      # ⚓ Reason ☛ Stewart_Baker_and_Max_Schrems_Debate_the
                        Privacy_Framework⠀⇛


                             Max Schrems is the lawyer and activist behind
                             the first and second (and, probably soon, a
                             third) legal challenge to the adequacy of US
                             law to protect European personal data. Thanks
                             to the Federalist Society’s Regulatory
                             Transparency Project, Max and I were able to
                             spend an hour debating the law and policy
                             behind Europe’s generation-long fight with
                             the United States over transatlantic data
                             flows. It’s civil, pointed, occasionally
                             raucous, and wide-ranging – a fun, detailed
                             introduction to the issues that will almost
                             certainly feature in the next round of
                             litigation over the latest agreement between
                             Europe and the US. Matthew Heiman acted as
                             moderator.


                      # ⚓ European Commission ☛ Data_sharing_–_info_to_be
                        provided_by_national_customs_authorities_on_non-food
                        products_released_for_free_circulation⠀⇛


                             EU rules on market surveillance & compliance
                             of non-food products entering the EU
                             (Regulation 2019/1020) require national
                             customs authorities to share information on
                             imported products placed under ‘release for
                             free circulation’.


                             Customs authorities should transmit this
                             information extracted from the national
                             customs systems to the information and
                             communication system for market surveillance
                             (ICSMS).


                             This initiative sets out the information that
                             national customs authorities must submit to
                             ICSMS.


                             [...]


                             This draft act is open for feedback for 4
                             weeks.


                      # ⚓ IranWire ☛ Cameras_and_AI:_Islamic_Republic’s_High
                        Tech_Plans_to_Enforce_Hijab⠀⇛


                             Iranian President Ebrahim Raisi has endorsed
                             increasing the number of surveillance cameras
                             used to identify women who defy mandatory
                             hijab rules, choosing not to wear the
                             headscarf in public, the Islamic Republic’s
                             police commander said on Thursday.


                             The move comes amid escalating pressure from
                             the Islamic Republic to enforce mandatory
                             hijab and to use artificial intelligence to
                             identify women seen without headscarves.


                      # ⚓ The Register UK ☛ Cops_told:_Er,_no,_you_need_a
                        wiretap_order_if_you_want_real-time_Facebook_snooping⠀⇛


                             New Jersey cops must apply for a wiretap
                             order — not just a warrant — for near-
                             continual snooping on suspects’ Facebook
                             accounts, according to a unanimous ruling by
                             that US state’s Supreme Court.


                             Thursday’s decision overturned a lower
                             court’s ruling that said a search warrant was
                             sufficient to compel Meta’s social network to
                             turn over access to a user’s future posts and
                             messages every 15 minutes for a period of 30
                             days. That’s effectively a real-time tapping
                             system, it was argued.


                      # ⚓ BW Businessworld Media Pvt Ltd ☛ WhatsApp_Now_Allows
                        Users_To_Transfer_Chat_History_Between_Devices_On_Same
                        OS⠀⇛


                             Zuckerberg took to his official Facebook
                             handle and shared a demonstration video along
                             with a caption, “If you want to move your
                             WhatsApp chats to a new phone, you can now do
                             it more privately without your chats ever
                             leaving your devices.” As per the statement
                             shared by the WhatsApp team, users can
                             preserve their complete chat and media
                             history for the first time without having to
                             exit the app. More secure than using
                             unofficial third-party apps which lack clear
                             privacy practices and are more private than
                             cloud services, the transfer process is
                             authenticated with a QR code, data is only
                             shared between your two devices and is fully
                             encrypted during transfer.


          o § Defence/Aggression⠀➾


                # ⚓ Site36 ☛ Last_Generation_in_Germany:_Pain_grips_on_trial
                  for_excessive_police_violence⠀⇛


                # ⚓ Deutsche Welle ☛ Finland_economy_minister_resigns_over_Nazi
                  comments⠀⇛


                       Though he survived a vote of no-confidence called
                       by opposition politicians in Finland’s Parliament
                       on June 28, Junnila announced he was stepping down
                       Friday, saying, “For the continuation of the
                       government and the reputation of Finland, I see
                       that it is impossible for me to continue as a
                       minister in a satisfactory way.”


                       Junnila had come under fire for, among other
                       things, a public speech that he had given in 2019
                       related to a far-right memorial in the western
                       Finnish town of Turku. He was also criticized for
                       repeated Nazi jokes.


                # ⚓ CS Monitor ☛ Africa’s_moment_of_truth_after_Russia’s
                  mutiny⠀⇛


                       Wagner’s spread across a handful of faltering
                       countries, mostly concentrated in the Sahel region,
                       has undermined efforts by France and the United
                       States to strengthen professional African
                       militaries under civilian command. “Its effect,”
                       the United States Institute of Peace noted
                       recently, “is to strengthen rule by force rather
                       than by democracy and law [and] to promote
                       corruption over transparency.”


                # ⚓ India Times ☛ The_true_threat_of_artificial_intelligence⠀⇛


                       But this ideology – call it A.G.I.-ism – is
                       mistaken. The real risks of A.G.I. are political
                       and won’t be fixed by taming rebellious robots. The
                       safest of A.G.I.s would not deliver the progressive
                       panacea promised by its lobby. And in presenting
                       its emergence as all but inevitable, A.G.I.-ism
                       distracts from finding better ways to augment
                       intelligence.


                       Unbeknown to its proponents, A.G.I.-ism is just a
                       bastard child of a much grander ideology, one
                       preaching that, as Margaret Thatcher memorably put
                       it, there is no alternative, not to the market.


                       Rather than breaking capitalism, as Mr. Altman has
                       hinted it could do, A.G.I. – or at least the rush
                       to build it – is more likely to create a powerful
                       (and much hipper) ally for capitalism’s most
                       destructive creed: neoliberalism.


                # ⚓ New York Times ☛ German_Defense_Minister_Vows_Stronger
                  Geopolitical_Role_Ahead_of_U.S._Visit⠀⇛


                       In an interview before his first official trip to
                       Washington, Boris Pistorius made clear he is intent
                       on helping the United States by taking a more
                       assertive stance.


                # ⚓ Quartz ☛ China_is_sharpening_its_lawfare_weapons_to_target
                  foreign_companies⠀⇛


                       The revised counterespionage law, passed by the
                       Chinese legislature in April and taking effect on
                       Saturday (July 1), vastly expands the definition of
                       espionage. Criminal cases of espionage already risk
                       life imprisonment. For foreigners, the new law
                       threatens exit and entry bans, as well as
                       deportation.


                       While the original 2014 version of the
                       counterespionage law focused on state secrets and
                       intelligence, the amendment includes “other
                       documents, data, materials, or items related to
                       national security.”


                       The catch-all phrasing means that even mundane
                       business activities could be deemed harmful to
                       national security, putting companies in legal
                       jeopardy. That’s especially so given Chinese leader
                       Xi Jinping’s push to make everything a matter of,
                       and subordinate to, national security. Hong Kong is
                       a case study of this dynamic: The city’s sweeping
                       national security law covers everyone on Earth, and
                       permeates society and governance.


                # ⚓ Deutsche Welle ☛ Sweden’s_fraught_path_to_NATO_accession⠀⇛


                       Levin noted that while Swedish support for NATO
                       membership remains at a record high, recent polling
                       has shown that “an even stronger majority — around
                       80% — believe that NATO accession might have to
                       wait if it meant that Swedish principles of rule of
                       law and other similar principles had to be
                       sacrificed.”


                # ⚓ VOA News ☛ Taliban_Flouts_Terrorism_Commitments_by
                  Appointing_al-Qaida-Affiliated_Governors⠀⇛


                       Baryal is among those listed in a recent United
                       Nations report as one of the Taliban’s leaders
                       “affiliated” with al-Qaida. Besides Baryal,
                       Nuristan Governor Hafiz Muhammad Agha Hakeem and
                       Tajmir Jawad, the Taliban’s deputy director of
                       intelligence, are also listed in the report.


                # ⚓ CNN ☛ Suspected_assailant_and_US_consulate_guard_killed_in
                  shooting_incident_in_Saudi_Arabia⠀⇛


                       At least two people died in a shooting incident
                       near the United States consulate in Jeddah, Saudi
                       Arabia on Wednesday, according to local police and
                       a spokesperson for the consulate. One of those
                       killed was a consulate security guard.


                # ⚓ CNN ☛ Protesters_break_into_Swedish_embassy_in_Baghdad
                  after_Stockholm_Quran_burning⠀⇛


                       Sweden said its staff were safe. “We are well
                       informed about the situation. Our Embassy staff are
                       in safety and the Ministry for Foreign Affairs is
                       in regular contact with them,” the Swedish foreign
                       ministry’s press office told CNN in an email.


                # ⚓ Associated Press ☛ Islamic_militants_kill_7_farmers_in
                  northeast_Nigeria,_further_threatening_food_supplies⠀⇛


                       Islamic extremist rebels launched an insurgency in
                       2009 in Nigeria’s northeast to fight against
                       Western education and to establish Islamic Shariah
                       law in the region.


                       At least 35,000 people have been killed and more
                       than 2 million displaced due to the violence by the
                       Boko Haram group and a breakaway faction backed by
                       the Islamic State, according to U.N. agencies in
                       Nigeria.


                       “These attacks are becoming one too many, and the
                       government needs to do something urgently,” farmer
                       Becky Koji said, echoing the concerns of many in
                       the area. “We are not safe anymore”


                # ⚓ The Dissenter ☛ Unauthorized_Disclosure:_Norman_Solomon⠀⇛


                # § War in Ukraine⠀➾


                      # ⚓ LRT ☛ Germany_deploys_Patriot_air_defence_system_for
                        NATO_summit_in_Vilnius⠀⇛


                             Germany is deploying the Patriot long-range
                             air defence system in Vilnius in preparation
                             for the NATO summit, the Lithuanian Armed
                             Forces said on Thursday.


                      # ⚓ LRT ☛ Germany’s_Baltic_brigade_announcement_–_a_check
                        that_cannot_be_cashed?⠀⇛


                             Germany’s defence minister, standing next to
                             Lithuanian politicians in Vilnius on Monday,
                             announced that 4,000 troops were coming to
                             the Baltics – permanently. Although sounding
                             like a culmination of months of work, the
                             statement allegedly caught the Bundeswehr and
                             Berlin off-guard.


                      # ⚓ LRT ☛ Hardline_diplomacy_paid_off,_says_Vilnius_after
                        Berlin_agrees_to_deploy_troops⠀⇛


                             After Berlin confirmed it would deploy 4,000
                             troops to Lithuania, Vilnius officials said
                             it showed that the pressure on Germany has
                             worked.


          o § Transparency/Investigative Reporting⠀➾


                # ⚓ Counter Punch ☛ Behind_Daniel_Ellsberg’s_Whistleblowing_was
                  a_Sense_of_Justice⠀⇛


                       Ellsberg’s vindication was extremely powerful. A
                       federal judge dismissed charges against him because
                       he had been harassed by the Nixon Administration.
                       The Judge, William M. Byrne, dismissed all charges
                       because of “gross prosecutorial misconduct” such as
                       illegally entering Ellsberg’s psychiatrist’s office
                       and illegally wiretapping him. The Judge said the
                       government’s actions were so severe as to “offend
                       the sense of justice.”


                       As for the Papers publication, in an unsigned
                       opinion, with six justices concurring, the Supreme
                       Court quoted two lower court decisions in
                       confirming that the New York Times and the
                       Washington Post were right in publishing the
                       Papers.


          o § Environment⠀➾


                # ⚓ RFERL ☛ Putin_Demands_Action_As_Devastating_Wildfires_In
                  Russia_Claim_16_Lives⠀⇛


                       Chupriyan said there had already been some 4,000
                       wildfires this year so far, destroying almost 1,300
                       buildings, including 730 residential houses,
                       forcing the Siberian region of Kurgan on May 10 to
                       impose a state of emergency.


                # ⚓ Quartz ☛ Florida_will_allow_radioactive_waste_in_road
                  construction⠀⇛


                       Florida has passed a law allowing the use of
                       phosphogypsum—a radioactive runoff from phosphorus
                       fertilizer production containing uranium and
                       thoranium—in the construction of new roads.


                       The new law is the legacy of a Donald Trump–era
                       decision by the Environmental Protection Agency
                       (EPA) to allow phosphogypsum in construction.
                       President Joe Biden’s administration quickly
                       reversed that change, citing the likelihood of
                       trace metals getting absorbed by groundwater and
                       radioactive toxins being dispersed in the air by
                       wind and traffic.


                # ⚓ Gizmodo ☛ Mosquitos_Carrying_Malaria_Found_in_Florida⠀⇛


                       The malarial mosquitos were caught by Sarasota
                       County Mosquito Management Services and sent to the
                       Centers for Disease Control and Prevention for
                       analysis. Mosquitos in the genus Anopheles are
                       known to host and transmit the protozoans that
                       cause malaria. Out of more than 100 Anopheles
                       individuals collected, the CDC determined that
                       three were carrying malaria, a Sarasota County
                       spokesperson told Gizmodo via email.


                # § Energy/Transportation⠀➾


                      # ⚓ Quartz ☛ A_ban_on_Birkin_NFT_fakes_is_the_latest_blow
                        to_the_flatlining_business_of_non-fungibles⠀⇛


                             A New York court has banned a California
                             digital creator from making non-fungible
                             tokens_(NFTs) based on luxury handbags made
                             by French fashion house Hermès International.


                      # ⚓ Quartz ☛ Only_one_US_state_now_forbids_drivers_from
                        pumping_their_own_gas⠀⇛


                             Since 1951, Oregon has banned drivers from
                             filling up their own vehicles. Instead,
                             they’ve had to wait while attendants ask how
                             much gas they should pump, drum their fingers
                             on the roofs of the cars, and run to the till
                             indoors to make change.


                      # ⚓ Quartz ☛ A_Volkswagen_board_member_was_convicted_in
                        the_Dieselgate_scandal_that’s_costing_$38_billion_and
                        counting⠀⇛


                             Rupert Stadler—the former head of Audi—became
                             the first Volkswagen board member to be
                             sentenced for fraud related to the 2015
                             emissions scandal that rocked the German auto
                             manufacturer known as “Dieselgate.”


                      # ⚓ WhichUK ☛ How_much_does_it_cost_to_leave_a_fan_on
                        overnight?⠀⇛


                             Of course, the cost of running a fan will
                             depend how long you sleep for – for our
                             calculations we’ve taken a typical 8 hours of
                             sleep and assumed people will leave it on for
                             that whole time. We’ve assumed an electricity
                             cost of 30p per kWh – the average price
                             capped rate from 1 July.


                      # ⚓ Interesting Engineering ☛ North_America’s_first
                        hydrogen-powered_train_is_now_operational⠀⇛


                             On June 17, Alstom joined forces with the
                             Government of Quebec, Chemin de fer
                             Charlevoix, Train de Charlevoix, Harnois
                             Énergies, HTEC and Accelera by Cummins to
                             take hundred of passengers on the Coradia
                             iLint for the first hydrogen train journey
                             ever to take place on North American soil.
                             The train rode from the Parc de la Chute-
                             Montmorency in Quebec City to Baie-Saint-
                             Paul, a 90-kilometer trip.


                # § Overpopulation⠀➾


                      # ⚓ India Times ☛ With_28%_rain_deficit,_water_levels_at
                        reservoirs_fall_short⠀⇛


                             Goa depends fully on the water reservoirs for
                             drinking and irrigation supply during the
                             non-monsoon months from October to May.
                             Deficit rainfall means a looming water crisis
                             in the non-monsoon months.


                      # ⚓ Business Insider ☛ Arizona_is_running_out_of_water.
                        Big_Tech_data_centers_are_partly_to_blame.⠀⇛


                             Google has started disclosing data on this.
                             In 2021, all the company’s data centers
                             consumed 4.34 billion gallons of water.
                             That’s so much, the company tried to put it
                             all in context by comparing itself to that
                             bastion of environmental stewardship: Golf
                             courses. Google noted that 4.34 billion
                             gallons are equivalent to the annual water
                             footprint of 29 golf courses in the southwest
                             US.


                             Meta discloses this information, too. The
                             company’s data centers withdrew just over 5
                             million cubic meters of water in 2021. That’s
                             about 1.33 billion gallons.


                             This brings us back to Arizona. The state is
                             running out of water. A few weeks ago, the
                             governor unveiled a plan to limit
                             construction in areas around Phoenix after
                             finding that the groundwater can’t support
                             the current pace of building.


                      # ⚓ New York Times ☛ A_Puzzle_in_Arizona’s_Boom_Towns:
                        How_to_Keep_Growing_With_Less_Water⠀⇛


                             The upheaval was caused by a new state study
                             that found groundwater supplies in the
                             Phoenix area were about 4 percent short of
                             what is needed for planned growth over the
                             next 100 years. That may feel like a far-off
                             horizon, but it is enough of a change to
                             force the state to rethink its future in the
                             near and long terms.


                      # ⚓ La Prensa Latina ☛ If_it_doesn’t_rain_soon,
                        Montevideo’s_water_will_be_undrinkable⠀⇛


                             Most of the population is consuming bottled
                             water and the governor recalled that half a
                             million inhabitants in the metropolitan area
                             will receive two liters of this product
                             daily.


          o § Finance⠀➾


                # ⚓ Michael West Media ☛ Resources_a_force_for_good,_treasurer
                  tells_congress⠀⇛


                       The resources sector has been a force for good in
                       Australia, according to Treasurer Jim Chalmers.


                       Headlining the final day of the World Mining
                       Congress in Brisbane on Thursday, the Queenslander
                       will thank his home state and the national
                       resources industry for helping deliver a budget
                       surplus.


                # ⚓ Michael West Media ☛ Retailers_facing_‘perfect_storm’_as
                  spending_slips⠀⇛


                       Shoppers are already spending more conservatively
                       and a fresh batch of retail trade data could show
                       belts tightening even further. 


                       The Reserve Bank will be watching the retail trade
                       data for more evidence of a slowing economy in the
                       May retail sales numbers before putting the brakes
                       on rate rises.


                # ⚓ Quartz ☛ BlackRock_CEO_Larry_Fink_is_focusing_on_goals
                  other_than_“ESG” [Ed: More dumb buzzwords for whitewashing
                  and greenwashing horrible companies]⠀⇛


                       Keen readers of Blackrock CEO Larry Fink’s annual
                       letters will be familiar with how he’s been arguing
                       that purpose begets profit, and such purpose is
                       defined by environmental, social, and governance
                       (ESG) considerations.


                # ⚓ Quartz ☛ An_Ohio_EV_maker_filed_for_bankruptcy_and_sued
                  Taiwanese_chipmaker_Foxconn_on_the_same_day⠀⇛


                       Lordstown Motors filed_for_Chapter_11_protection in
                       Delaware yesterday (June 26) after a promised round
                       of investment from Foxconn, the world’s largest
                       contract electronics manufacturer, fell through. In
                       tandem, Lordstown sued Foxconn, blaming the
                       Taiwanese company for its financial travails.


                # ⚓ Off Guardian ☛ Fear_and_Loathing_in_the_City_of
                  Westminster⠀⇛


                       Our descent into City Airport was like the drop-
                       ship scene in the movie Aliens. The BA CityFlyer
                       Embraer 190, a narrow-body twin-engine airliner,
                       rolled over into a 40-degree bank and started
                       bucking like a mechanical bull. Simulated “chimes”
                       began chiming frantically. Flight attendants bolted
                       for their seats.


                # ⚓ Michael West Media ☛ Budget_surplus_not_at_expense_of
                  households:_Chalmers⠀⇛


                       Treasurer Jim Chalmers has denied the country’s
                       first budget surplus in more than a decade comes at
                       the expense of under-pressure households as the
                       cost of living rises.


                       Dr Chalmers has confirmed there will be a larger
                       surplus for the 2022/23 financial year than
                       predicted in last month’s federal budget.


                # ⚓ Michael West Media ☛ Watchdog_concerned_by_Transurban
                  EastLink_road_takeover⠀⇛


                       The competition regulator has raised concerns over
                       Transurban’s proposed takeover of the operator of
                       Melbourne’s EastLink toll road.


                       The Sydney-based company, which already operates
                       Melbourne’s CityLink toll road and will operate the
                       under-construction West Gate Tunnel, is seeking to
                       acquire Horizon Roads, which has a concession over
                       the EastLink freeway until 2043.


                # ⚓ Michael West Media ☛ Federal_surplus_to_rocket_past_earlier
                  forecasts⠀⇛


                       The federal budget is on track to smash its earlier
                       surplus forecasts as the government rakes in much
                       more revenue.


                       The underlying cash balance for the 12 months to
                       May was $19 billion, well above the $4.2 billion
                       surplus flagged for the 2022/23 financial year in
                       the last federal budget. 


                # ⚓ Michael West Media ☛ Stocks_show_resilience_to_rates_and
                  inflation_worries⠀⇛


                       Global shares have been steady as investors
                       scrutinise inflation data from both sides of the
                       Atlantic to cap a rollercoaster quarter for markets
                       that has upended bets on interest rates peaking.


                       Oil was poised for its first monthly gain this
                       year, as a big drawdown in US oil stocks outweighed
                       concerns fuel demand will be dented further by more
                       hikes in borrowing costs.


          o § AstroTurf/Lobbying/Politics⠀➾


                # ⚓ Michael West Media ☛ ‘Why_did_you_sign_it?’:_Van_Onselen
                  takes_on_Network_10⠀⇛


                       Former Network 10 political editor Peter van
                       Onselen claims his legitimacy as a journalist and
                       media commentator is at risk by the media company’s
                       contract rules.


                       Dr van Onselen quit his position in March and
                       agreed not to disparage the network or its US-based
                       owner Paramount.


                # ⚓ Quartz ☛ Reddit_is_running_out_of_patience_with_protesting
                  moderators⠀⇛


                       Moderators of protesting Reddit communities are
                       being shown the virtual door. The protest against
                       aggressive API charges that would kill third-party
                       apps started on June 12 and was meant to last at
                       least for two days—or until Reddit came up with
                       some remedies. The website’s volunteer moderators,
                       who took their threads dark, are now being strong-
                       armed into reopening their platforms, or risk being
                       locked out altogether.


                # ⚓ New Eastern Europe ☛ The_point_of_no_return⠀⇛


                       The possible scenarios for the development of
                       events in the Russian Federation are described in
                       detail in this article. Please pay attention to the
                       second section called “Scenarios of turmoil”. The
                       collapse of Russia will occur as a result of the
                       clash of power clans, the destruction of the army
                       and a new parade of sovereignties.


                # ⚓ MEMRI ☛ American_Islamic_Scholar_Shadee_Elmasry:_The
                  Muslims’_Alliance_With_The_Left_Is_A_Mistake;_If_A_Liberal
                  Army_Were_To_Liberate_Gaza,_We_Would_Be_Trading_One_Problem
                  For_Another;_The_Right_At_Least_Believes_In_Objective_Truth⠀⇛


                       American Islamic scholar Shadee Elmasry of the New
                       Brunswick Islamic Center in New Jersey said in an
                       episode of the “Blood Brothers” show that was
                       posted on the 5Pillars YouTube account on June 7,
                       2023 that Muslims made a mistake by aligning with
                       the political Left because their beliefs contradict
                       Islam and will inevitably lead to “utter war”.
                       Elmasry said that if a liberal army were to
                       liberate Gaza, it would be “trading one problem for
                       another” because the Muslims would then have to
                       “tiptoe” in accordance with the liberal agenda. He
                       said that the Left wants to kill the Islamic faith,
                       that if the political right had wanted to
                       exterminate the Muslims it already would have, and
                       that the Right is better suited for an alliance
                       with Islam because they at least believe in
                       objective truth. In addition, Elmasry said that the
                       true interfaith initiative is to explain to
                       Christians that they are wrong. The 5Pillars
                       channel is a U.K.-based Islamic media platform.


                # ⚓ Quartz ☛ US_corporate_bankruptcies_are_on_the_rise⠀⇛


                       The US government considers any failing company
                       with more than $50 million in liabilities to be a
                       large bankruptcy filing. Here’s a look at some
                       recent corporate bankruptcies in that category:
                       [...]


                # ⚓ The Register UK ☛ Meta’s_Oversight_Board_wants_a_prime
                  minister_banned_from_Facebook_and_Instagram⠀⇛


                       A pair of Meta’s content moderators reviewed the
                       video and decided it did not violate the social
                       networking giant’s policies. The vid was also
                       referred upwards to “policy and subject matter
                       experts within Meta” who reversed that decision but
                       “applied a newsworthiness allowance” that sees Meta
                       keep violating content online if the public
                       interest value outweighs the risk of it causing
                       harm.


                       The Oversight Board has now decided that decision
                       was wrong, and the video should be shoved in Meta’s
                       memory hole.


                # § Misinformation/Disinformation/Propaganda⠀➾


                      # ⚓ Breach Media ☛ While_Canadians_choke_on_toxins,_Big
                        Oil_hides_behind_smoke_and_mirrors⠀⇛


                             And in these photos, the oil industry sure as
                             hell isn’t responsible for disastrous
                             wildfires that are, in turn, creating
                             climate-warming carbon emissions.


                             The photos, used in Facebook advertisements
                             and on the websites of Canada’s largest oil
                             lobby groups, portray a completely different
                             reality than the one Canadians are
                             experiencing. They’re part of a deceptive
                             push by Big Oil to deceive the public about
                             its role in the climate crisis—and scientists
                             are calling for it to stop.


                      # ⚓ Meduza ☛ Prigozhin_reportedly_dissolving_Patriot
                        Media_Group,_home_of_his_‘troll_factory’⠀⇛


                             Yevgeny Prigozhin has dissolved his Patriot
                             Media Group, an umbrella entity that housed
                             dozens of “news” sites and had become the
                             home of his “troll factory” since its
                             creation in 2019, according to the outlet
                             Rotonda.


                      # ⚓ New Republic ☛ The_Mysterious_Case_of_the_Fake_Gay
                        Marriage_Website,_the_Real_Straight_Man,_and_the
                        Supreme_Court⠀⇛


                             Yes, that was his name, phone number, email
                             address, and website on the inquiry form. But
                             he never sent this form, he said, and at the
                             time it was sent, he was married to a woman.
                             “If somebody’s pulled my information, as some
                             kind of supporting information or
                             documentation, somebody’s falsified that,”
                             Stewart explained. (Stewart’s last name is
                             not included in the filing, so we will be
                             referring to him by his first name throughout
                             this story.)


                             “I wouldn’t want anybody to … make me a
                             wedding website?” he continued, sounding a
                             bit puzzled but good-natured about the whole
                             thing. “I’m married, I have a child—I’m not
                             really sure where that came from? But
                             somebody’s using false information in a
                             Supreme Court filing document.”


          o § Censorship/Free Speech⠀➾


                # ⚓ 37signals LLC ☛ The_law_of_the_land⠀⇛


                       It really was a crazy time. And I think we’re only
                       beginning to appreciate just how bananas it was.
                       Like I can imagine Americans coming out of the
                       1950s Red Scare must have felt. But the fact that
                       it’s undeniably a different time already was
                       illustrated when Facebook banned many forms of
                       political discussions inside their company late
                       last year, and basically nobody gave a damn.


                       But let’s not forget that it isn’t over everywhere
                       yet. It’s just waning rapidly within the corporate
                       world. As Heather Mac Donald has documented in When
                       Race Trumps Merit, institutions within academia,
                       the arts, and even branches of science are still in
                       the throes of this ideology, with disastrous
                       effects.


                # ⚓ RFA ☛ Chinese_authorities_monitor_Tibetans_to_prevent
                  communication_with_outside_world⠀⇛


                       The Chinese government has been intensifying its
                       monitoring of Tibetans and maintained their
                       interrogations of Tibetans living in Lhasa to
                       determine if they have contacted people outside
                       Tibet and stepped up surveillance measures to
                       prevent such communication. Now the Chinese
                       authorities are interrogating Tibetans in Lhasa
                       specifically targeting and warning them to stop
                       communication.


                       In March, two major anniversaries prompted police
                       to step up surveillance. The month marked the 15th
                       anniversary of a 2008 riot, and the 64th
                       anniversary of the 1959 uprising against Chinese
                       troops that had invaded the region a decade
                       earlier.


                # ⚓ Al Monitor ☛ Turkey_Islamist_group_calls_for_art_expo’s
                  closure_for_‘blasphemy,’_LGBTQ_‘propaganda’⠀⇛


                       An art exhibition that brings together the works of
                       top Turkish artists in a sumptuous 19th-century
                       building in Istanbul has become the latest flare-up
                       in Turkey’s culture wars, as an Islamist group and
                       several Justice and Development Party (AKP) members
                       urged its closure, saying that the works contain
                       perversity and blasphemy.


                       The exhibition, called “Beginning From the Middle,”
                       brings together from June 24-Aug. 30 some 400 works
                       of art from the country’s most prominent — and most
                       expensive — artists in Feshane, a former factory
                       that used to make military gear and fes, or fez,
                       the traditional red, flat-topped felt hat worn by
                       men during the Ottoman era. The factory underwent a
                       costly renovation over the last four years and
                       reopened as an arts hub on June 23.


                # ⚓ BBC ☛ China_tightens_Xi_Jinping’s_powers_against_the_West
                  with_new_law⠀⇛


                       The law threatens to punish entities that act in
                       ways “detrimental” to China’s interests but does
                       not specify which lines should not be crossed.


                       Experts say the law underscores China’s aggressive
                       diplomacy, but how actively it will be enforced
                       when it takes effect on 1 July remains to be seen.


                # ⚓ YLE ☛ Finland’s_Baghdad_embassy_staff_evacuated_as
                  protesters_attack_Swedish_mission⠀⇛


                       The protesters were targeting the Swedish
                       diplomatic mission in the city, after a backlash
                       over Swedish police decision to allow a Quran to be
                       publicly burnt near a mosque in Stockholm.


                       The Deputy Head of Mission in Baghdad Anna Malinen
                       told Yle that the situation escalated quickly, but
                       the protest remained in the yard and did not get
                       inside the building.


                # ⚓ British Christians ☛ Two_Christian_Teenagers_arrested_after
                  police_officer_states_they_named_puppy_Muhammed_Ali⠀⇛


                       “The boys were booked under Section 295-C of the
                       blasphemy law a statute which prohibits disrespect
                       of the prophet Muhammed and is punishable by death.


                       On Friday 20th May a Judge sent the two boys to
                       prison on judicial remand and now they face a
                       potentially long prison sentence while they try to
                       attain acquittal or bail.


          o § Civil Rights/Policing⠀➾


                # ⚓ Michael West Media ☛ Archipela-no-go:_global_soccer,_then
                  Coldplay,_fall_foul_of_rising_homophobia,_anti-Israel
                  sentiment_in_Indonesia⠀⇛


                       Indonesia’s supposed core belief in diversity is
                       being tested by religious-led homophobia and anti-
                       semitism. It comes as President Joko Widodo is due
                       in Australia — and his nation of 600 ethnicities
                       readies for presidential elections next year,
                       writes Duncan Graham


                       Outbursts of anti-semitism and homophobia are
                       poisoning Indonesia’s well of respect for
                       difference, its tradition of living in harmony and
                       making a mockery of the national motto Bhinneka
                       Tunggal Ika – Unity in Diversity.  


                # ⚓ Quartz ☛ Social_app_IRL_is_shutting_down_because_most_of
                  its_users_are_fake⠀⇛


                       Social media app IRL—an acronym for “in real
                       life”—is shutting down after discovering that most
                       of the 20 million users it boasted were anything
                       but real. An internal investigation by the
                       company’s board of directors found more than 95% of
                       the accounts on the six-year-old company were
                       “automated or from bots” [...]


                # ⚓ New York Times ☛ NYC_Mayor_Adams_Compares_Housing_Activist
                  to_Plantation_Owner⠀⇛


                       Mayor Eric Adams criticized the woman, whose family
                       left Germany in the 1930s, after she questioned him
                       about back-to-back rent increases.


                # ⚓ RFA ☛ Uyghur_forced_labor_is_focus_of_German,_French_and_US
                  scrutiny⠀⇛


                       Volkswagen, Zara and Temu are among brands called
                       on to monitor their supply chains.


                # ⚓ JURIST ☛ Germany_antisemitism_tracking_group_reports_2,480
                  antisemitism_incidents_in_2022⠀⇛


                       The Department for Research and Information on
                       Antisemitism (RIAS), a monitor group tracking
                       antisemitism in Germany, announced in its annual
                       report on Tuesday that Germany saw 2,480
                       antisemitism incidents last year.


                # ⚓ France24 ☛ 🔴_Live:_Macron_to_hold_new_crisis_meeting_after
                  third_night_of_violence_in_France⠀⇛


                       French President Emmanuel Macron called a new
                       government emergency meeting on Friday after a
                       third night of violent clashes between protesters
                       and police in cities including Paris, Marseille,
                       Lyon, Toulouse and Lille. Some 40,000 police
                       officers were deployed in France on Thursday night
                       – nearly four times the number mobilised on
                       Wednesday – and 667 people were arrested, the
                       interior minister said. Protests were sparked by
                       the deadly police shooting of a 17-year-old on
                       Tuesday that shocked the nation.


                # ⚓ France24 ☛ Why_deadly_police_shootings_are_on_the_rise_on
                  France’s_roads⠀⇛


                       The death of 17-year-old Nahel, shot by a police
                       officer on Tuesday in the Paris suburb of Nanterre,
                       is not the first of its kind. Fatal shootings by
                       police officers during traffic stops are on the
                       rise in France. While police say it’s due to a
                       spike in public non-compliance and dangerous
                       behaviour, experts say this is not the only
                       explanation.


                # ⚓ Medforth ☛ France:_A_few_days_after_similar_incidents_at
                  the_Saint-Roch_church_in_Nice,_three_youths_aged_12_and_13
                  entered_the_Saint-Joseph_church_and_shouted_“Allah_Akbar”
                  again⠀⇛


                # ⚓ Deutsche Welle ☛ France_riots:_45,000_police_deployed_to
                  restore_order⠀⇛


                       French President Emmanuel Macron criticized social
                       media and video games after convening a crisis
                       meeting with ministers on the unrest.


                       The French president said social media was playing
                       a “considerable role” in fomenting the unrest.
                       Macron said he wants platforms such as Snapchat and
                       TikTok to delete sensitive content.


                       Macron urged parents to keep young rioters off the
                       streets, while noting a third of the 875
                       individuals arrested overnight were “young, or very
                       young.”


                       “It’s the responsibility of parents to keep them at
                       home,” Macron said about young rioters. “It’s not
                       the state’s job to act in their place.”


                # ⚓ France24 ☛ France_sees_third_night_of_violence_amid
                  protests_over_fatal_police_shooting_of_teen⠀⇛


                       A French police officer was charged with voluntary
                       homicide and placed under arrest on Thursday ahead
                       of trial over the killing of a teenager at point-
                       blank range, an incident that sparked nationwide
                       protests. Thousands gathered to honour the victim
                       in his Paris-area neighbourhood, and clashes
                       erupted between some protesters and police, with
                       officers using tear gas. French authorities were
                       expecting more protests in the nights to come.


                # ⚓ teleSUR ☛ 150_People_Arrested_During_Protests_Against
                  Police_Violence_in_France⠀⇛


                       “A night of unbearable violence against symbols of
                       the Republic…”


                # ⚓ CS Monitor ☛ France_ups_police_presence_after_protests
                  against_police_violence⠀⇛


                       France has erupted in protests, many violent, after
                       a video of a French police officer killing a 17-
                       year-old was released on Tuesday. The French
                       president has labeled the killing, which is being
                       investigated as voluntary manslaughter,
                       “unjustifiable.”


                # ⚓ New York Times ☛ Nahel_M._Police_Killing_Outrages_French
                  People_of_Color⠀⇛


                       “We don’t forget, we don’t forgive,” crowds chanted
                       as they denounced the shooting death of a 17-year-
                       old from the Paris suburb of Nanterre.


                # ⚓ New York Times ☛ Over_600_Arrested_in_France_After_Fresh
                  Night_of_Unrest⠀⇛


                       Protesters set cars on fire and looted stores in
                       cities around the country for the third day in a
                       row after the fatal police shooting of a teenage
                       driver.


                # ⚓ New York Times ☛ France_Police_Shooting_Presents_New
                  Challenge_for_Macron⠀⇛


                       Protests over the fatal police shooting of a
                       teenager come as President Emmanuel Macron seeks to
                       restore a sense of calm after his pension overhaul
                       ignited turbulence in the streets.


                # ⚓ New York Times ☛ Officer_in_Fatal_Shooting_of_Teenager
                  Detained_on_Homicide_Charges_as_Protests_Continue⠀⇛


                       The killing has reignited anger in France at police
                       violence, especially against people of color. On
                       Thursday, after two nights of violent protests,
                       riot police officers fired tear gas to break up a
                       march being held for the slain 17-year-old.


                # ⚓ New York Times ☛ France_Police_Shooting_and_Riots:_What_to
                  Know⠀⇛


                       Violent riots convulsed French cities after the
                       police shooting of a 17-year-old. The interior
                       minister said that 40,000 officers would be
                       deployed across France on Thursday evening.


                # ⚓ New York Times ☛ What_We_Know_About_Nahel_M.,_the_17-Year-
                  Old_Fatally_Shot_by_Police_in_France⠀⇛


                       The 17-year-old fatally shot by a police officer
                       was an only child being raised by his mother in
                       Nanterre, a Paris suburb.


                # ⚓ France24 ☛ UK_court_rules_against_government’s_plan_to_send
                  asylum_seekers_to_Rwanda⠀⇛


                       A British court ruled Thursday that a government
                       plan to send asylum-seekers on a one-way trip to
                       Rwanda is unlawful, delivering a blow to the
                       Conservative administration’s pledge to stop
                       migrants making risky journeys across the English
                       Channel.


                # ⚓ BIA Net ☛ Turkey_remains_among_10_worst_countries_for
                  workers’_rights⠀⇛


                       The section dedicated to Turkey in the index report
                       highlights the rampant repression of strikes, the
                       arbitrary arrests of trade unionists, and the
                       systematic union busting employed by employers.


                       It states, “Throughout 2023, workers’ freedoms and
                       rights were relentlessly attacked, with law
                       enforcement cracking down on protests and trade
                       union leaders facing unjust arrests.


                       “Moreover, employers continued their systematic
                       efforts to undermine unions by systematically
                       terminating workers who attempted to organize.”


                # ⚓ Iran Press Watch ☛ Baha’i_Sentenced_to_Six_Years_in_Prison
                  and_Assets_Seized⠀⇛


                       The court session concluded with an immediate
                       announcement of the verdict. Bahadori was sentenced
                       to five years in prison on charges of “gathering
                       and collusion,” with an additional one-year prison
                       term for spreading “propaganda against the Islamic
                       Republic under the guise of preaching for Baha’is.”


                       This resulted in a total of six years in prison for
                       Bahadori, accompanied by a two-year ban on leaving
                       the country.


                # ⚓ New York Times ☛ Jury_Acquits_Deputy_Who_Failed_to_Confront
                  Parkland_Gunman⠀⇛


                       Scot Peterson, a former Broward County sheriff’s
                       deputy, was acquitted of seven counts of child
                       neglect and three counts of culpable negligence for
                       the deaths and injuries of 10 people on the third
                       floor of the building where the shooting occurred.
                       He was also found not guilty of one count of
                       perjury for claiming to the police that he heard
                       only a few gunshots and saw no children fleeing.


                       When Mr. Peterson’s behavior was revealed after the
                       shooting, critics — including some fellow police
                       officers — painted him as being too scared to face
                       a heavily armed gunman. His actions outraged the
                       Parkland community, and Mr. Peterson was cast as
                       the central character in a morality tale about
                       cowardice and law enforcement’s duty to protect
                       children. One victim’s father told him to “rot in
                       hell,” and he was derided in national media outlets
                       as the “coward in Broward.”


                # ⚓ The Hill ☛ A_major_UPS_strike_is_looming_—_here’s_what_that
                  means_for_your_packages⠀⇛


                       Tens of thousands of unionized workers for the
                       United Parcel Service are on the verge of going on
                       strike as negotiations between the company and the
                       International Brotherhood of Teamsters for better
                       benefits and working conditions reach a critical
                       point.


                # ⚓ [Old] RFERL ☛ Ex-Iranian_Prison_Official_Expresses_‘Shame’
                  Over_Mass_Execution_Of_Political_Prisoners_In_1980s⠀⇛


                       An estimated 5,000 prisoners were executed in
                       prisons, including Evin, the country’s largest
                       detention facility, during the summer of 1988. Many
                       of the victims were members of the Mujahedin-
                       e Khalq Organization (MKO), an exiled armed
                       opposition group, leftist parties and groups, and
                       students.


                # ⚓ IranWire ☛ Hijab_Law_Violator_Sentenced_to_Unpaid_Cleaning
                  Work⠀⇛


                       A criminal court in Tehran has sentenced a woman to
                       270 hours of unpaid cleaning work for allegedly
                       violating mandatory hijab rules in public places,
                       the feminist Twitter account Bidarzani reported.


                # ⚓ IranWire ☛ Mandatory_Hijab_Rules_Cost_Iranians_up_to_$900
                  Million_Annually⠀⇛


                       According to Iran Open Data, the estimated $900
                       million spent annually to enforce mandatory hijab
                       rules are equivalent to the monthly income of up to
                       7 million workers who earn minimum wage.


          o § Internet Policy/Net Neutrality⠀➾


                # ⚓ Futurism ☛ The_Pope_Just_Released_a_Guide_to_Artificial
                  Intelligence⠀⇛


                       Its first order of business is releasing a
                       handbook, called “Ethics in the Age of Disruptive
                       Technologies: An Operational Roadmap,” meant to
                       help tech companies navigate the many grey areas of
                       AI ethics.


                # ⚓ Gizmodo ☛ The_Vatican_Releases_Its_Own_AI_Ethics_Handbook⠀⇛


                       His Holiness and his associates might not seem like
                       an obvious choice to weigh in on artificial
                       intelligence. But according to Father Brendan
                       McGuire, pastor of St. Simon Parish in Los Altos
                       and an advisor to ITEC, the initiative is the
                       culmination of longstanding interests for the
                       church. He argues the Vatican wields a unique
                       ability to bring key players to the table.


                       “The Pope has always had a large view of the world
                       and of humanity, and he believes that technology is
                       a good thing. But as we develop it, it comes time
                       to ask the deeper questions,” Father Brendan told
                       Gizmodo in an interview. “Technology executives
                       from all over Silicon Valley have been coming to me
                       for years and saying, ‘You need to help us, there’s
                       a lot of stuff on the horizon and we aren’t ready.’
                       The idea was to use the Vatican’s convening power
                       to bring executives from the entire world
                       together.”


                # ⚓ NPR ☛ Google_says_it_will_start_blocking_Canadian_news
                  stories_in_response_to_new_law⠀⇛


                       The two tech giants have been battling the Canadian
                       government over the law that would force them to
                       negotiate compensation deals with news
                       organizations for distributing links to news
                       stories.


                       The law, called the Online News Act, passed last
                       week. But it could take months for it to take
                       effect. Once it does, Google and Meta say they will
                       start removing news articles by Canadian news
                       outlets from their services in the country.


                # ⚓ The Hill ☛ Google_set_to_remove_links_to_Canadian_news
                  sites_from_search_engines_in_the_country⠀⇛


                       Kent Walker, Google’s president of global affairs,
                       said in a press release Thursday that the law
                       “remains unworkable,” leading the company to make
                       the “difficult decision” to remove links to
                       Canadian news from Google Search, Google News and
                       other products in Canada when the law goes into
                       effect.


                # ⚓ NBC ☛ Google_says_it_will_remove_Canadian_news_links_from
                  searches_in_the_country⠀⇛


                       Bill C-18, which was introduced in April 2022,
                       passed Royal Assent, the last step before it
                       becomes a federal law, on June 22. The act will
                       undergo a regulatory process before it is applied,
                       which Google said it plans to participate in.


                # ⚓ IT Wire ☛ Google_to_drop_Canadian_news_links_once_online
                  law_is_implemented⠀⇛


                       Google has issued a warning to the Canadian
                       Government, saying it would “remove links to
                       Canadian news from our Search, News and Discover
                       products in Canada, and that C-18 will also make it
                       untenable for us to continue offering our Google
                       News Showcase product in Canada”.


          o § Monopolies⠀➾


                # ⚓ IT Wire ☛ FTC_getting_ready_to_hit_Amazon_with_anti-trust
                  lawsuit:_report⠀⇛


                       At the time, the FTC charged the company, whose
                       owner Jeff Bezos is once again the world’s richest
                       man, with using “manipulative, coercive or
                       deceptive user-interface designs known as ‘dark
                       patterns’ to trick consumers into enrolling in
                       automatically-renewing Prime subscriptions”.


                # ⚓ The Economist ☛ Letters_to_the_editor⠀⇛


                       But cloud gaming is not so much about gaming as it
                       is about the cloud, and here the competition policy
                       issues are more profound. The data engineering,
                       graphics, real-time compute, language and image
                       synthesis, and related functions that power today’s
                       games are precisely the technologies that will
                       power tomorrow’s AI-supercharged enterprise cloud
                       applications. And in that much larger and more
                       important market, Microsoft’s old habits of
                       bundling, licensing and leveraging market power
                       have continued largely unabated.


                       The Federal Trade Commission should look at this as
                       a question about the future of the cloud, not
                       simply gaming. It should stop an acquisition that
                       would further advance Microsoft’s subversive
                       efforts to win the future of cloud by creating a
                       battle among walled gardens in enterprise cloud
                       computing—as it has already tried to do with
                       OpenAI.


                # § Software Patents⠀➾


                      # ⚓ India Times ☛ Nokia_renews_patent_license_agreement
                        with_Apple⠀⇛


                             Nokia said on Friday it had signed a new
                             long-term patent license agreement with
                             Apple, as the current license between the
                             companies expires at the end of 2023.


                             While terms of the agreement remain
                             confidential between the companies, it covers
                             Nokia’s inventions in 5G and other
                             technologies.


                      # ⚓ BW Businessworld Media Pvt Ltd ☛ Nokia_Signs_New
                        Long-term_Patent_License_Agreement_With_Apple⠀⇛


                             While the specific details of the agreement
                             remain confidential between Nokia and Apple,
                             it encompasses Nokia’s innovations in 5G
                             technology and other related technologies.
                             Nokia, known for its extensive investments in
                             research and development, has built a patent
                             portfolio comprising more than 20,000
                             patents, with over 5,500 patents declared
                             essential to 5G.


                # § Copyrights⠀➾


                      # ⚓ Groklaw ☛ The_Daemon,_the_GNU_and_the_Penguin⠀⇛


                             RMS wanted to work together with people from
                             Berkeley on such an effort. Some of them were
                             interested, but some seem to have been
                             deliberately dragging their feet: and the
                             reason now seems to be that they had the goal
                             of spinning off BSDI. A GNU based on 4.4-Lite
                             would undercut BSDI.


                             So RMS said to himself, “Mach is a working
                             kernel, 4.4-Lite is only partial, we will go
                             with Mach.” It was a decision which I
                             strongly opposed. But ultimately it was not
                             my decision to make, and I made the best go I
                             could at working with Mach and doing
                             something new from that standpoint.


                             This was all way before Linux; we’re talking
                             1991 or so.


                      # ⚓ Scoop News Group ☛ OpenAI_lawsuit_reignites_privacy
                        debate_over_data_scraping⠀⇛


                             Last November, coders sued GitHub along with
                             its parent company Microsoft and partner
                             OpenAI over a tool known as CoPilot that uses
                             AI to generate code. The coders argued the
                             companies violated the licensing agreements
                             for the code. In February, Getty Images sued
                             Stability AI for allegedly infringing the
                             copyright of more than 12 million images.


                             As the lawsuit notes, AI companies deploy
                             data scraping technology at a massive scale.
                             The race between every major tech company and
                             a growing pack of startups to develop new AI
                             technologies, experts say, has also
                             accelerated not just the scale of web
                             scraping but the potential harms that come
                             with it. Experts note that while web scraping
                             can have benefits to society, such as
                             business transparency and academic research,
                             it can also come with harms, such as
                             cybersecurity risks and scammers harvesting
                             sensitive information for fraud.


                      # ⚓ [Repeat] The Register UK ☛ Microsoft_and_GitHub_are
                        still_trying_to_derail_Copilot_code_copyright_legal
                        fight⠀⇛


                             Copilot and Codex were trained from tons of
                             publicly available source code, including the
                             plaintiffs’ GitHub repositories, and other
                             materials. When presented with a prompt by a
                             user, these AI models will generate code
                             snippets in response, using the materials it
                             learned from.


                             The issue for the plaintiffs is that Copilot
                             incorporates copies of their code and can be
                             coaxed to reproduce their work, or something
                             similar, without including or taking into
                             account the required software license details
                             – Copyright Management Information (CMI) in
                             the context of the law.


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