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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╒═══════════════════ 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
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(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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⠬⠚⣒⣿⡇⣥⣤⡴⣏⡭⠥⠀⠀⠀⠈⠈⠻⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠀⠈⠀⣴⣿⣿⣿⣿⣤⢀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠿⣿⠼⣷⣚⣻⣭⣽⣶⣶⣷⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⣁⣀⣼⣿⣿⣿⣿⣿⣿⠓⠀⣀⣬⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⡄⣘⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣛⠿⠍⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠛⠁⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⣿⣿⣿⡿⠿⠿⠿⠿⢿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡟⠬⠉⠄⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⣿⣿⣶⠀⠀⠀⠀⠈⠁⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⡯⡑⠁⠀⠀⠠⠀⠀⢸⣿⣿⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠻⢿⣿⣿⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣯⣗⣘⣤⡡⢦⡀⠂⠀⣸⣿⣿⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⡀⠀⠀⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⡿⣷⠊⠁⠀⠐⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿⣿⣿⡿⠿⢹⡥⠀⠀⠁⠀⣿⣿⡿⠛⠀⠀⠀⠀⣀⣤⣤⣶⣶⣤⣄⣀⣀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⠿⠋⢃⡋⠅⠍⠀⠀⠀⠿⠋⠀⠀⠀⠀⣐⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠁⠖⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡻⣟⣻⡖⢠⠖⠒⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟
⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣤⡤⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠆⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀
[22A⠉⠉⠉⠉⠉⠉⠉⠉⠀⢸⣿⣿⡸⣧⣉⣿⣿⡿⠿⣿⣿⣿⡇⢿⣿⣿⣿⡇⢸⣿⣿⣿⣿⡇⠟⢿⡿⡿⣿⣿⣿⡶⠶⣾⣿⣿⡇⣾⣿⣿⣿⠧⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠠⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣤⠀⢠⠀⢀⣀⣤⣤⣀⣸⣿⠅⡇⣿⠻⣿⣿⣿⣼⣿⢻⡿⣧⢸⣿⡾⣿⢧⣀⣿⣿⣿⣿⡇⠀⠈⠁⠀⣿⣿⣿⣷⠀⢸⣿⣿⡇⣿⣿⣿⣿⠿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠉⠩⣌⡀⣽⣿⣿⣿⣿⣿⣿⣤⣷⢿⡿⣿⣿⣿⣿⣿⣼⣟⣿⠸⣿⣿⣿⣿⡇⠠⠟⠁⠀⠀⠀⠀⠠⣤⣿⣿⣿⣿⣿⣿⣿⣿⡇⠙⣿⣿⣿⡇⠀⠀⠀⠀⠈⢋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠉⢉⣉⣉⠉⢩⣤⣤⣄⢸⣿⣿⠀⠀⣿⣿⣿⣿⣿⣷⣿⣿⡀⣿⣿⣿⣟⠻⡆⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠻⢿⣿⣿⣿⣿⡇⠀⣹⣟⡃⠅⠀⢰⣀⠀⢰⣿⣻⣿⣿⣿⡿⢿⢿⣿⣿⢿⠿⣀⠀⢰⠿⢿⣟⣿⣿⣿
⣤⣤⣬⡽⠿⠃⢸⣿⣿⣿⡺⣿⣿⡆⠀⠸⢿⣿⣿⣿⣿⣿⣾⡇⠉⠉⢉⣿⠿⠛⣶⡀⢀⣰⣤⣄⣀⡄⠀⠀⠤⠼⠿⢿⣿⣿⡇⢸⠇⠀⠀⠀⠀⣿⣿⣿⢩⣵⣷⣦⣿⣅⠓⠀⢠⢸⣿⣞⣸⣃⣀⣧⣶⣾⣿⣿⣿⡿
⢳⣾⣿⣿⣾⣿⣯⣿⢿⣿⡛⣿⣿⣇⢤⣼⣯⣭⣽⣷⣶⣶⣾⣇⠸⠟⠋⠀⠀⠀⣿⣿⣿⣯⣉⣛⡛⠁⠀⠀⣀⠀⢶⡾⠿⣛⣧⣼⣤⣆⡀⠀⠀⢿⡟⠋⡜⣿⣿⣿⣀⣻⣿⣷⣙⣿⣿⣿⡿⠛⣿⡏⣿⣿⣿⢻⠃⠁
⠛⢋⠉⡉⢭⣀⢰⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⣶⣾⣿⣿⣿⣿⡿⠆⠀⠀⠀⠈⠃⢴⣿⣿⣿⣿⣿⣿⣿⣷⣀⣤⡠⡗⢻⡇⣿⠿⠿⡻⣻⣿⣿⡿⡿⠁⠁⣿⣿⣟⡇⣈⣉⣿⣏⡸⠟
⣿⣿⣿⣾⣿⣿⣿⣿⣛⣿⣿⡟⣿⣿⡜⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⠹⣿⣿⣿⣿⢴⣿⢿⣿⣿⣿⣿⣿⡶⣶⣷⣿⣿⣿⣿⣿⣿⣿⣞⣛⣻⣿⣿⣿⣿⠟⠛⠉⠀
⣿⣿⣿⣿⣿⣿⣿⠿⣿⠿⠿⢏⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⡄⠀⠀⠀⠀⠀⠘⣿⣿⢸⣟⠩⢠⣿⣿⣿⣿⣿⡇⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠏⠉⠀⠀⠀⠀⠀⠀
⣛⠻⠭⣽⣉⣀⣤⣤⠤⠒⡒⠩⢸⣿⣿⢸⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠛⠛⠛⣿⢛⠛⠃⠀⢀⣴⣿⣿⠂⠀⠀⠀⣰⣿⣿⣿⣿⣌⡹⠟⠙⣿⣿⣿⣥⣶⣿⣾⣼⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠬⠒⢒⣿⡇⣥⣤⡔⣏⡭⠥⠀⠀⠀⠈⠈⠻⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠁⠈⠀⣴⣿⣿⣿⣿⣤⢀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠿⢿⠼⣷⣚⣻⣭⣽⣶⣶⣷⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⣁⣀⣼⣿⣿⣿⣿⣿⣿⠓⠀⣀⣬⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⡀⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣛⣟⣉⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠛⠁⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⣿⣿⣿⡿⠿⠿⠿⠿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣛⡟⢗⠹⠁⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⣿⣿⣶⠀⠀⠀⠀⠈⠁⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⡭⢃⠨⠀⠀⠀⠀⠂⢸⣿⣿⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠻⢿⣿⣿⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣯⣽⣛⢏⡪⠱⠀⠀⠀⢸⣿⣿⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢀⠤⠀⠀⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⣿⣿⣿⣿⣿⣿⣿⣿⡟⠡⠀⠂⠈⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣟⡀⠀⠄⠈⠀⣿⣿⡿⠛⠀⠀⠀⠀⣀⣤⣤⣶⣶⣦⣄⣀⣀⡀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣛⠋⠋⠝⠃⠀⠀⠀⠀⠿⠋⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠁⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡏⡕⠞⠗⠙⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟
⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣤⣤⡤⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠢⠄⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀
[22A⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿⣿⡇⣿⣘⣿⣿⣿⣿⣿⠸⡏⣿⢸⣿⡿⠿⡿⠀⣿⣿⣿⣿⣿⠸⢿⣿⢿⣿⣿⣿⣯⠭⢷⣿⣿⡇⢰⣾⣿⣿⡿⡂⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⢻⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢀⠄⠀⠄⠀⢀⢀⣀⣀⣀⣿⡧⢽⢻⡿⢿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣯⣽⣧⠀⣿⣿⣿⣿⣿⠀⠀⠋⠀⢻⣿⣿⣿⡀⠸⣿⣿⣷⢸⣿⣿⣿⡿⠇⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠂⠉⠄⣁⢸⣷⣿⣿⣿⣿⣿⣇⣾⣸⣷⣿⣿⣿⣛⣿⣿⣿⣽⡇⣿⣿⣼⣷⣯⢉⡸⠋⠁⠀⠀⠀⠀⣀⣼⣿⣿⣿⣷⣾⣿⣿⣿⠘⢻⣿⣿⣿⠀⠀⠀⠀⠀⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠒⠒⠛⠛⢉⡉⢉⣩⣡⣠⠈⣿⢿⡇⠀⢈⣿⣿⣿⣿⣿⣿⣿⡇⢹⣿⣿⣿⢛⡒⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⡿⠿⣿⣿⣿⣿⣿⠀⠘⣿⣿⢐⠁⠀⣀⠀⠀⣶⣾⣿⣿⣿⣿⢿⣿⣿⣿⡿⠿⡟⠛⠛⣿⣿⣿⣿⣿⣿
⣀⣤⣄⣉⡽⠧⠐⣿⣿⣿⡇⣿⣿⣧⠀⠀⣬⢿⣿⣿⣿⣼⣿⣿⠘⠛⠋⢻⡿⠿⣤⡀⠀⠀⣄⣀⣀⡀⠀⠀⡀⠀⡿⢿⣿⣿⣿⠀⡏⠉⠀⠀⠀⢸⣿⣷⡚⣭⣭⣷⣿⡟⠀⠀⠀⠉⣶⣺⡃⡞⠀⢰⣤⣴⣿⣾⣿⣿
⡿⣾⣿⣿⣷⣶⣿⣿⣿⠿⠿⢻⣿⣿⢠⣤⣛⣿⣯⣭⣽⣶⣶⣿⠐⣿⠏⠉⠀⠀⢹⣷⣾⣿⡛⠛⠿⠃⠀⠀⠀⠀⢠⣼⢿⡿⣿⣠⣧⣤⠀⠀⠀⢸⣿⠟⠄⣿⣿⣿⡇⢸⣿⣷⢘⣻⣿⣿⣿⡿⣿⣿⢹⣿⣿⡿⡿⠑
⠛⠛⠛⠋⠉⢉⠁⣼⣿⣿⣿⣾⣿⣿⡎⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠁⠀⠀⠀⣶⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠈⠣⢨⣶⣶⣿⣿⣿⣿⣿⣿⡄⣀⣤⣽⢴⡷⢹⣿⣿⠯⢿⣿⣿⣿⣿⡯⠙⢹⣿⣿⣻⠈⠉⠻⣷⠃⣶
⣿⣿⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣩⣾⣿⣿⣿⣾⣾⣿⣾⣤⣶⣿⣿⣿⣿⣽⣷⣶⣶⣖⣻⣷⣾⣿⣿⣿⠟⠛⠃
⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢺⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡝⡷⢛⡁⣿⣿⣿⣿⣿⣿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠉⠀⠀⠀⠀⠀
⣟⣛⠛⢯⡏⣉⣀⣤⡤⠤⠒⠒⠜⣿⣿⡜⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠛⠛⠛⢻⡛⠛⠗⡀⠀⣠⣾⣿⡆⠀⠀⠀⢠⣿⣿⣶⣿⡗⢲⡿⠛⢿⣿⣿⣧⣤⣴⣦⣬⣿⣿⣿⣿⡿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀
⠤⠤⢗⢺⣯⢉⣥⣤⢶⢈⣉⠀⠀⠈⠉⠁⠻⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⢠⣴⣿⣿⣿⣥⣀⠀⠀⢾⣿⣿⣿⣿⣿⣷⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⠾⠯⡭⣿⣼⣟⣻⣽⣷⣶⣶⡀⠀⠀⠀⠀⠀⠈⠉⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠓⣀⣠⣿⣿⣿⣿⣿⣿⡟⠁⠀⣈⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣠⡄⢘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⢿⣎⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠛⠋⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢿⣗⠨⢼⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣠⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⣿⣿⣶⠆⠀⠀⠀⠀⠉⠀⠉⢻⣿⣿⣿⣿⣿⣟⣿⣿⣿⡿⣻⠭⠁⠮⠉⢸⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠛⢿⣿⣿⣿⣿⣷⡦⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⡽⣫⠿⣮⡢⠂⠐⢸⣿⣿⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠟⠙⠁⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⡀⣂⡀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡠⠊⢁⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣟⡇⠆⢁⠁⢸⣿⣿⠿⠃⠀⠀⠀⠀⣀⣀⣠⣤⣄⣀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢹⣿⣿⣿⣿⣟⡯⠞⡐⠑⠄⠁⢸⠟⠉⠀⠀⠀⠀⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡉⠉⠅⠄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⢟⠿⣺⠶⠨⠋⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏
⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⢽⣫⡫⠫⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁
[22A⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢹⣿⣿⡸⣧⣹⣿⣿⣿⣿⡇⢿⣽⡇⢿⣿⠿⠿⠇⢸⣿⣿⣿⣿⡇⡿⣿⡿⡿⣿⣿⣿⣭⠭⣼⣿⣿⡇⣼⣾⣿⣯⡣⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢀⣠⠀⠠⠄⠀⡀⢀⣀⣀⣘⣿⠀⡇⣿⠻⣿⣿⣿⣿⣿⣿⣿⣧⢸⣿⣇⣼⡄⢈⣿⣿⣿⣿⡇⠀⠘⠃⠀⣿⣿⣿⣷⠀⢹⣿⣿⡇⣿⣿⣿⣧⠭⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠜⠈⠉⢌⡀⢽⣿⣿⣿⣿⣿⣿⣄⣷⢿⡿⣿⣿⣟⣻⣿⣿⣿⣿⢸⣿⣧⣯⣾⡏⣁⠛⠉⠁⠁⠀⠀⣀⣀⣿⣿⣿⣿⣶⣿⣿⣿⡇⠙⣿⣿⣿⡇⠀⠀⠀⠀⠘⡛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠒⠛⠛⠉⣉⠉⢉⣭⣤⣄⢸⡿⣿⠀⠀⣹⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⡟⠓⠂⠀⠀⠀⠀⠀⠀⠘⠿⣿⣿⢿⣿⣿⣿⣿⣿⡇⠀⢻⡿⡏⠈⠀⢀⡀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⠉⢉⣿⣿⣿⣿⣿
⠀⣠⣤⣄⣬⠿⠂⢸⣿⣿⣿⢼⣿⣿⡆⠀⢠⡼⣿⣿⣿⣧⣿⣿⡇⠛⠛⠙⣿⡿⢧⡀⠀⠀⣀⡀⠀⢀⠀⠀⠀⠀⣸⠿⣿⣿⣿⡇⢸⠋⠉⠁⠀⠀⣿⣿⣖⢚⣩⣭⣝⣿⠃⠉⠈⢈⢩⣧⣼⠰⡏⠁⣎⣡⣼⣿⣿⣿
⣿⢳⣾⣿⣿⣶⣾⣯⣿⡿⠿⡟⣿⣿⡇⣤⣜⣓⣿⣭⣽⣷⣶⣾⡇⢺⡿⠉⠁⠀⢸⣿⣶⣶⡟⠛⠿⠟⠀⠀⠀⠀⠠⣤⣾⣿⠿⣇⣸⣠⡄⠀⠀⠀⣿⡿⠇⢸⣿⣿⣿⠈⣿⣶⣦⠺⣾⣿⣿⣿⢿⣿⡟⣿⣿⣿⢿⡟
⠛⠛⠛⠋⠉⠉⡁⢠⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⣶⣾⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠱⠀⢩⣶⣶⣿⣿⣿⣿⣿⣧⢀⣀⣌⡧⣶⠌⣿⣿⣿⢿⣿⣿⣿⣿⣿⡋⠋⣿⣶⡿⠇⠉⠛⣟⣾⠠
⣼⣿⣿⣿⣾⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡸⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⡿⣿⣋⣽⣿⣿⣿⣶⣷⣿⣧⣭⣠⣶⣷⣿⣿⣯⣿⣵⣦⡴⠬⢿⣿⣷⣾⣿⣿⠿⠳
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣏⢿⠾⣛⢸⣿⣿⣿⣿⣿⠡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠋⠉⠀⠀⠀
⣟⣛⡛⠯⣽⢉⣀⣤⣤⠤⠐⠒⢪⢻⣿⣧⢻⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⣟⠛⠫⢀⠀⢀⣰⣷⣶⠀⠀⠀⠀⣾⣿⣷⣾⣟⠐⣾⠟⠿⣿⣿⣿⣀⣴⣦⣭⣹⣿⣿⣿⣿⡿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀
⣤⠤⠜⡒⣿⡏⣡⣤⡴⡏⣉⠁⠀⠀⠉⠉⠸⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣤⣾⣿⣿⣏⣄⠀⠀⢰⣿⣿⣿⣿⣿⣶⣶⣶⣾⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⠿⠿⣯⠽⣧⣟⣻⣯⣿⣶⣷⡆⠀⠀⠀⠀⠀⠀⠉⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⣂⣀⣼⣿⣿⣿⣿⣿⣿⠏⠀⠀⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣤⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠻⠩⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠛⠛⠁⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⡿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⡏⠀⠉⠈⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣠⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⣿⣟⣃⠀⠀⠀⠀⠈⠁⠈⠻⣿⣿⣿⣿⣿⡿⣛⢏⡛⠍⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠛⠿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣙⠉⠐⠀⠔⠂⠀⠀⠀⠀⣿⣿⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣯⣶⣶⣶⡶⡀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣟⣿⣿⣷⣿⣿⡟⣻⠧⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣿⣯⠛⠃⡒⠀⠀⠀⠀⢸⣿⣿⣿⠿⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣽⣟⡽⠭⢊⠆⠀⠀⠀⠀⠀⠀⢨⣿⠟⠁⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣷⣶⡶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡿⠞⡂⢘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇
⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⣠⡤⣤⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀
[22A⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⣿⣿⣧⢹⣏⣹⣿⣿⡿⣿⣿⣿⣿⡀⣿⣿⣿⣿⡀⢸⣿⣿⣿⣿⠸⢻⣿⠿⢸⣿⣿⣷⡶⠶⣾⣿⣿⠀⣷⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠸⡧⣿⣿⣿⣿⣿⣿⣿⣿
⣀⡠⣤⠀⢠⠀⡀⣀⣤⣤⣄⣸⣏⠸⣼⣷⢿⣿⣿⣧⣾⡏⢿⢿⡇⣿⣿⢾⣿⢄⣸⣿⣿⣿⣿⡄⠀⠘⠀⢸⣿⣿⣿⡇⠀⣿⣿⣿⠀⣿⣿⣿⣧⢄⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿
⣒⡋⠉⠩⣁⣀⣿⣿⣿⣿⣿⡿⣿⣐⡇⡿⠸⣿⣿⣿⣿⣿⣹⣿⡇⢹⣿⣾⣿⡿⠀⠜⠋⠀⠀⠀⠀⢀⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⠀⠛⣿⣿⣿⡀⠀⠀⠀⠀⢘⢋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠉⠉⠉⠉⠉⣉⡍⠀⣤⣤⣤⡄⣿⣿⣧⠀⢸⣿⣿⣿⣿⣿⣾⣯⣷⢸⣿⣿⣿⠛⡓⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⡟⠿⣿⣿⣿⣿⣿⠀⠀⣿⣿⠃⠃⠀⣘⠀⠀⢰⣶⣿⣿⣿⣿⡿⣿⣿⣿⣿⠿⢿⠛⠛⢹⣿⣿⡿⣿
⠀⢠⣴⣦⣄⡭⠏⢀⣽⣿⣿⣷⣻⣿⣿⠀⠀⢿⣿⣿⣿⣿⣿⣧⣿⠈⠉⠉⣹⠿⠟⣤⠀⠀⢀⣀⡀⠀⣀⠀⡀⠀⠠⠿⠿⣿⣿⣿⠀⠟⠉⠀⠀⠀⢸⣿⣗⡖⣯⣭⣥⣹⣟⠁⠀⠁⠈⣽⣷⡏⢸⠉⢰⣎⣤⣼⣿⣿
⣿⣟⣷⣿⣿⣿⣿⣿⣼⣿⣿⣛⠻⣿⣿⡄⣤⣭⣭⣭⣽⣶⣶⣿⣿⡀⠿⠋⠁⠀⠀⣿⣷⣾⣿⠛⠛⠿⠃⠀⠀⠀⠀⢤⣤⢿⡿⣿⣠⣤⣤⠀⠀⠀⢸⣿⠟⠂⣿⣿⣿⡇⠈⣿⣶⡄⢿⣿⣿⣿⣿⡿⣿⢛⣿⣿⣿⣿
⠛⠋⢉⠉⡉⡁⣀⣀⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⣶⣶⣾⣿⣿⣿⣿⠿⠇⠀⠀⠀⠈⠆⣨⣶⣶⣿⣿⣿⣿⣿⣿⡄⣀⣤⣹⠴⣶⢸⣿⣿⡿⠿⣿⣿⣿⣿⣟⡙⠸⣷⣶⠿⠊⠙⢻⣷⡞
⣤⢿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣷⢻⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣿⣿⣟⣩⣿⣿⣿⣷⣾⣾⣿⣬⣅⣴⣼⣾⣿⡿⣿⣯⣶⣦⠦⠽⣿⣷⣷⣿⣿⡿⠿
⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠛⣹⣿⣿⢸⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠝⡿⢛⡁⣿⣿⣿⣿⣿⣟⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠉⠁⠀⠀
⣛⡻⠯⠭⢹⣇⣠⣤⡴⠶⠒⡂⠉⠏⣿⣿⡏⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⢻⡛⡛⠄⡀⠀⣠⣿⣿⡆⠀⠀⠀⣸⣿⣿⣶⣿⡓⢺⡿⠻⢿⣿⣿⣇⣠⣶⣬⣍⣿⣿⣿⣿⣿⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀
⣤⣔⠒⢺⣩⣿⢠⣴⣶⣺⡩⠤⠀⠀⠀⠈⠁⠿⢿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⣠⣾⣿⣿⣿⣤⣄⠀⠀⣿⣿⣿⣿⣿⣷⣶⣶⣶⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠿⠟⢳⣶⣿⣶⣿⣭⣿⣶⣾⣷⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⣋⣄⣴⣿⣿⣿⣿⣿⣿⡟⠁⠀⣘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣶⢨⣽⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⣋⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠙⠉⠉⠈⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣾⣿⣿⣿⠟⠛⠛⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠟⠁⠍⠪⠁⣺⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣶⣤⠀⠀⠀⠀⠉⠈⠙⢿⣿⣿⣿⣿⣿⣿⣽⣍⠝⠌⢂⠀⠀⠀⠀⢸⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠛⠿⢿⣿⡿⠿⠇⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣧⠪⢋⣂⡐⠄⠀⠀⢸⣿⣿⡇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡿⣿⣿⣿⣿⣶⣷⣿⡆⠀⠁⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣟⣿⣿⣿⣿⣽⣿⡟⡷⠠⠁⠀⠀⣸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣻⣿⢯⠿⢀⡀⠀⠀⠀⣻⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠿⠻⠟⠓⠑⡀⠠⠁⠀⠀⣿⠿⠋⠀⠀⠀⢀⣀⣴⣶⣿⣿⣿⣿⣷⣶⡤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠉⠐⡒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⣿⣗⠝⠃⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇
⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⡤⡴⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠩⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⢠⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀
[22A⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡿⡇⣿⣰⣿⣿⣿⠿⣿⣿⣿⣿⢸⣿⣿⣿⣿⠀⣿⣿⣿⣿⣇⠙⠻⣿⢳⣿⣿⣿⣿⠛⢻⣿⣿⡇⢸⣿⣿⣿⣯⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠸⢿⣿⣿⣿⣿⣿⣿⣿
⢠⢴⣰⣧⣀⡇⢠⣤⣴⣶⣶⣤⣿⡖⢹⢻⡟⣿⣿⣿⣷⣿⡿⣿⣿⠘⣿⣷⣿⣟⡤⠿⣿⣿⠿⠿⠀⠀⠁⠀⣿⣿⣿⣿⣀⣸⣿⣿⡇⢸⣿⣿⣿⡿⠃⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣾⣿⣿⣿⣿⣿⣿⣿
⣿⣯⣀⣀⣢⣤⣼⣿⠿⠿⠿⠿⢹⣧⣾⡸⠓⣛⣿⣿⣿⣿⣯⣿⣿⡆⣿⣿⣿⣿⣃⠠⠉⠀⠀⠀⠀⠀⢰⣶⣿⣿⣿⣿⣿⣿⣿⣿⣇⠈⢹⣿⣿⣿⠀⠀⠀⠀⠀⢉⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠉⠀⠀⠀⠠⢠⣴⡀⢰⣶⣶⣶⣸⣿⣿⡇⠀⢺⣿⣿⣿⣿⣿⣿⣹⡇⣿⣿⣿⣯⣉⡍⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠙⠻⣿⣿⣿⣿⣿⠀⣘⣿⠯⠨⠆⢠⣄⡀⢀⣿⣿⣿⣿⣿⢿⢿⠿⣿⣿⠿⡿⢯⣀⠀⣼⠿⣿⣟
⣠⣀⣶⣿⣷⣾⣋⣁⣌⣿⣿⣿⣯⣿⣿⡇⠀⠈⣿⣿⣿⣽⠿⢿⣾⡇⢀⣀⣠⠟⠛⢡⣦⡀⣀⣰⣤⣀⣀⡄⠀⠀⠀⠒⠛⢻⣿⣿⣿⠀⠃⠀⠀⠀⠀⣿⣿⣿⢩⣴⣷⣶⣿⣏⡰⠀⢐⣄⣾⣿⣁⣟⣀⣸⣤⣶⣾⣿
⣿⣿⣿⣿⣿⣿⠿⠿⠷⣿⣿⣿⣭⣹⣿⣿⢰⣶⣶⣶⣾⣿⣿⣿⣿⣿⠘⠋⠁⠀⠀⠈⣿⣿⣿⣏⣉⣛⠋⠀⠀⠀⣀⠰⣾⠾⢿⣛⣿⣤⣶⣆⡀⠀⠀⢿⡟⠉⡜⣿⣿⣿⣅⣸⣿⣷⣘⣻⣿⣿⣿⢛⢻⣿⢹⣿⣿⡿
⠉⢉⣠⣤⣤⢠⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⡟⠉⠀⠀⠀⣶⣶⣶⣿⣿⣿⣿⠟⠿⠀⠀⠀⠀⠙⠀⢼⣿⣿⣿⣿⣿⣿⣿⣷⣀⣤⠰⡟⢻⡇⣿⠿⠿⡻⢻⣿⣿⡿⣿⠭⠉⢹⣿⣿⣛⠀⣉⣹⣿
⣶⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣟⣥⢶⣿⢿⣿⣿⣿⣿⣷⡶⣴⣷⣿⣿⣻⣿⣿⣷⣾⣖⣒⣻⣶⣿⣿⣿⡿⠟
⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠛⠛⢛⣩⢻⣿⣧⢻⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠳⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⣿⣿⡧⢻⡛⠭⢸⣿⣿⣿⣿⣿⠅⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠉⠀⠀⠀
⠭⠭⠙⠒⣊⣿⡦⠶⠶⠚⣋⡉⠁⠰⠸⢿⣿⢸⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⣟⠋⠐⠠⠀⣠⣾⣿⡯⠀⠀⠀⢠⣿⣿⣿⣿⡏⠀⣿⠏⢟⣿⣿⣿⣤⣶⣶⣴⣼⣿⣿⣿⣿⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀
⣶⣶⣭⣍⠦⢾⣇⢲⣾⣯⣧⠒⣀⠀⠀⠀⠀⠘⠻⠿⢿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⠀⠀⢠⣾⣿⣿⣿⣷⣖⡄⠀⢻⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠛⠛⠉⣹⣾⣿⣿⣷⣾⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣦⣀⠰⣫⣴⣴⣿⣿⣿⣿⣿⣿⣿⡁⢀⣠⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣴⣶⣿⡇⢾⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣛⠟⡊⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠈⠁⠀⠀⣈⣛⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⠻⣿⣿⣿⣿⣿⠋⠉⠉⠉⠉⠉⠉⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⠑⡁⡐⠠⠄⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠈⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⣿⣿⣿⣿⣯⣟⠚⢂⠁⠁⠂⠀⠀⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⢖⠷⡻⠑⠀⢀⠀⠀⠀⣿⣿⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣷⢀⡀⠀⠀⢀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⢿⠜⠡⠠⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⣿⣿⣿⣿⣿⣏⡑⠀⠁⠀⠠⢸⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⠿⠟⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⢿⢿⡿⠩⠫⠒⠀⠀⠀⠀⢸⡿⠋⠀⠀⠀⠀⢠⣤⣾⣿⣿⣿⣿⣿⣷⡆
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢺⡿⡳⣽⡫⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏
⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠸⡚⠋⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀
[22A⠀⠀⠀⢀⠀⢀⠀⠀⠀⠀⠀⠀⢸⣿⠿⡾⣿⣿⣿⣿⣿⠿⣿⣿⣿⡇⢻⣿⣿⣿⡇⢸⣿⣿⣿⣿⡇⠃⠻⠏⢻⣿⣿⣿⣿⠉⢿⣿⣿⡇⢸⣿⣿⣿⣾⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠙⢻⣿⣿⣿⣿⣿⣿
⣐⣶⡳⠿⠦⠸⠀⣲⣴⣿⣿⣿⣿⣿⢠⡇⣿⣼⣿⣿⣿⣿⣿⢿⣿⣷⢸⣿⣿⣿⣵⠚⠛⡿⠟⠛⠃⠀⠀⠀⠀⣿⣿⣿⣿⣤⣼⣿⣿⡇⢸⣿⣿⣿⡭⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿
⠿⠷⠶⠤⠤⠷⠶⠟⠛⠛⠛⠛⠉⣿⣿⣿⠉⠉⣽⣿⣿⣿⣿⣟⣟⣿⢸⣿⣿⣿⣿⣆⡂⠀⠀⠀⠀⠀⠀⠺⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢿⣿⡿⢧⠀⠀⠄⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⣿⣿
⠀⠀⠀⢀⣀⡒⢲⣾⠀⢽⣿⣿⣧⢸⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣯⣿⡈⠿⠿⢿⣧⣤⢄⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠉⢹⣿⣿⣿⣿⡇⢠⠬⠯⠃⠀⠀⣼⣤⣀⣠⢿⠿⢿⣿⡿⠿⠻⠛⡿⠿⢛⡛⣳⠄⢀⠾⠛⣿
⣶⣦⣴⣿⣿⣿⣯⣭⣴⣾⣿⣿⣿⣾⣿⣿⡆⠀⠨⠿⠿⣿⣟⣛⣿⣿⡇⢤⡤⠚⠉⠀⢸⣧⣠⣤⣿⣶⣦⡶⠀⠀⠐⠈⠉⠉⣿⣿⣿⡇⢸⠀⠀⠀⠀⢠⣿⣿⡇⢲⣾⣿⣿⠻⣆⣉⡀⢠⣸⣯⣿⣤⣧⣄⣼⣶⣾⣿
⣿⣿⠿⠾⠿⠿⠟⠛⠛⢻⣿⣿⣶⣦⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⢸⣿⣿⣷⣤⣤⡍⠀⠀⠀⢠⡄⠻⢟⣛⣫⣽⣷⣶⣾⣤⠀⠀⠘⢻⣏⣱⢸⣿⣿⣿⣤⣿⣿⣟⣬⣿⣿⡿⣿⣭⣽⣏⢼⣿⣿
⠀⠀⣰⣶⣶⣾⣴⣾⣶⣾⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⣶⣶⣶⣶⣿⣿⣿⠛⠉⠁⠀⠀⠀⠀⠁⠰⢿⣿⣿⣿⣿⣿⡿⢿⣧⣴⣆⢲⢉⡿⠸⠿⢟⢛⣛⣿⣿⣿⣿⠿⠒⠀⢻⣿⡿⣏⣀⣁⣹
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⢿⡀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣿⣿⣿⢵⣞⣿⡿⣿⣿⣿⣿⣿⣿⢳⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣻⣿⣿⣿⠿⠿
⣿⣿⣿⠿⠿⣿⣟⠛⠋⢉⣉⣉⣉⠥⠆⣿⣿⡇⣿⣿⣿⣿⣿⣿⢧⣐⣤⡀⠀⣿⣿⣿⣿⣿⣿⣟⠀⠃⠀⠀⠀⣤⣄⡀⠀⠀⠀⢸⣿⣿⣊⣯⡡⢆⣿⣿⣿⣿⣿⡿⠘⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀
⣒⠒⣈⣉⡱⠴⣿⠚⢛⣉⣩⠤⠂⠀⠋⠻⠿⢧⣿⣿⣿⣿⣿⡏⣼⣿⣿⣷⡀⠛⠛⠛⠛⠛⢻⠟⠂⠁⠂⣠⣿⣿⣿⠀⠀⠀⢀⣾⣿⣿⣿⣿⣉⠹⡟⢙⣽⣿⣿⣧⣴⣾⣷⣷⣿⣿⣿⣿⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣶⣶⣛⣿⡇⡿⠿⣿⣏⣥⡄⠀⠀⠀⠀⠉⠛⠛⠿⠟⠁⢸⣿⣿⣿⠇⠀⠀⠀⠀⠀⢸⡄⠀⢀⣿⣿⣿⣿⣿⣿⣵⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠛⠋⢉⣀⠠⣿⣾⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠿⠿⠿⠀⠀⠀⠀⠀⠀⣨⣶⣿⣿⣿⣿⣿⣿⣿⣿⡧⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣷⣿⠿⠟⠚⣷⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠂⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⣿⡿⣹⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣀⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣽⣇⠚⠿⢽⢾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⠁⠀⠆⠀⢸⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿⣿⣿⣷⣽⣻⣽⣯⡲⡣⠀⠀⢸⣿⣿⣇⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣠⣤⠠⡄⣹⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣷⡭⡏⠁⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⣿⣿⣿⣿⠿⠼⣫⢍⠄⠀⣿⣿⣿⠿⠃⠀⠀⠀⠀⠀⣀⢤⣀⣀⡀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠟⠛⣛⡉⠉⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣾⣿⣿⣿⣿⣟⣿⡿⠵⠈⠀⠀⠀⡿⠛⠁⠀⠀⠀⣂⣶⣾⣿⣿⣿⣿⣿⣿⣗
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠈⠉⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣾⣿⣿⣯⣿⠿⡛⠑⠀⠀⠀⠀⠀⠀⠀⠀⢐⣆⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿
⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣹⡿⣛⡿⠙⠀⠈⠀⠀⠀⠀⠀⠀⠀⡠⣵⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠃
[22A⠀⠀⢀⣀⣀⠀⣠⠀⠀⠀⣀⣀⠀⢿⡟⣹⢸⡿⣿⣿⣿⣷⣾⡿⣿⣿⡄⣿⣿⢹⣿⡀⢸⣿⣿⣿⣿⠈⠈⠻⠀⢹⣿⣿⣿⡏⠉⣿⣿⣿⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠙⣽⣿⣿⣿⣿⣿
⣤⣼⣯⠟⠛⢓⠊⢀⣿⣿⣿⣿⣿⣿⣇⣾⣾⣿⣾⣿⣿⣿⣿⣿⣿⢺⡇⣿⣿⣸⣿⣶⠛⠿⠋⠉⠉⠀⠀⠀⠀⢸⣿⣿⣿⣧⣤⣿⣿⣿⠀⣿⣿⣿⣿⡏⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⠿⠛⠓⠒⠒⠛⠚⡛⠛⣉⣉⣉⡉⣿⣿⡇⠉⢸⣿⣿⣿⣿⣿⣽⣿⡇⢹⣿⣿⣿⠿⠬⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⡟⠳⡀⢀⡀⠀⢀⣐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣀⠀⠀⢀⣠⣰⣙⣻⡷⠐⣿⣿⣿⡧⣿⣿⣧⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⠸⠿⠟⣿⡾⠇⣄⠀⠀⢀⡀⠀⠀⠀⠈⠉⠁⠉⣿⣿⣿⣿⣿⠀⡴⠚⠓⠂⠁⢠⣾⣆⣠⠼⠿⢟⣿⣿⠟⠏⠛⠻⢿⣟⣫⢍⡧⠄⣀⠟⠛
⣿⣿⣶⡾⣿⣿⣿⣷⣶⣾⣿⣿⣿⠿⢿⣿⣿⢀⣀⣶⣛⣛⣿⣯⣭⣭⣿⠠⠶⠂⠀⠀⠘⣿⣷⣶⡾⠿⠿⡿⠃⠒⠀⠉⠉⠉⣹⣿⣿⣿⠀⠂⠀⠀⠀⠀⢸⣿⣷⠀⣿⣿⣿⡟⠻⣤⣆⠀⣼⣼⣿⣯⣤⣧⣤⣷⣾⣿
⠿⠿⠿⠟⠛⠛⠛⠋⡉⠉⣿⣾⣿⣿⣾⣿⣿⡜⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣶⣾⠀⠀⠀⠀⢤⠈⢛⣯⣥⣼⣿⣷⣿⣧⣄⠀⠀⠙⢿⣁⡇⣿⣿⣿⣧⣤⣿⣿⣧⣽⣿⣿⣿⣿⣩⣿⡇⣾⣿
⣀⣀⣈⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⣶⣶⣶⣶⣾⣿⣿⢛⡁⠀⠀⠀⠀⠀⠀⠁⠻⣿⣿⣿⣿⣿⡿⢟⣿⣴⣾⣜⣎⣹⣇⠹⠛⣛⣯⣻⣿⣿⣿⣿⠓⡂⠈⠿⣿⠿⣇⣠⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣷⢻⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠚⣇⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣿⣿⡷⣖⣿⡿⢻⣿⣿⣿⣿⣿⡟⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣭⣿⣿⣿⡿⠿
⣿⠿⠿⢿⣟⣛⣿⡏⣉⣁⣀⡤⠤⠄⠚⣾⣿⣿⢸⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⢈⠀⠀⢀⣰⣤⡄⠀⠀⠀⢘⣿⣿⣇⣺⣍⣒⣼⣿⣿⣿⣿⣿⠇⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠈⠀⠀
⣮⣍⣉⡤⠥⢕⢻⣯⢉⣩⣤⢶⢒⠀⠈⠉⠛⠛⢾⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠛⠛⠛⠛⠛⠛⡟⠀⠀⠈⣠⣾⣿⣿⢇⡀⠀⠀⣼⣿⣿⣿⣿⣦⣀⣏⣃⣫⣿⣿⣿⣶⣿⣿⣿⣾⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀
⣷⣿⣿⣿⠷⢯⣭⣿⢼⣿⣳⣿⣤⣤⠀⠀⠀⠀⠈⠉⠙⠛⠻⠿⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⡷⠀⢀⣼⣿⣿⣿⣿⣿⣿⡂⠀⢻⣿⡿⠿⢿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣉⢉⣀⣠⣄⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⣴⠟⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⠠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡿⠿⠟⠛⠛⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⣿⢿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣀⣀⣤⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⡽⣹⡾⡿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠗⠠⠅⡊⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⡣⡡⢧⣩⣿⣿⣯⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣲⢽⣿⣰⢽⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣞⢮⣸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣭⡾⡣⡗⣹⣿⣿⡿⠋⠀⠀⠀⠀⢀⡀⢀⣄⣠⢀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠋⣩⠭⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣟⣿⡾⡜⠌⠱⠀⢺⠟⠋⠀⠀⠀⢄⣠⣾⣿⣿⣿⣿⣿⣿⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣀⣈⣁⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣟⣿⣿⣿⣿⣿⡿⠡⠪⠆⠀⠢⠀⠀⠀⠀⢰⣶⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟
⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣗⣿⢿⢿⡞⢛⠛⡅⡙⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠁
[22A⠀⠀⣀⣀⣠⡄⠀⠄⠀⢀⢀⣀⣀⣀⣿⠡⣧⣿⡾⢿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⠀⠈⠏⠈⣿⣿⣿⣿⠀⢸⣿⣿⣿⢸⣿⣿⣿⣿⣇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠉⣿⣿⣿⣿⣿
⣷⣤⣿⣿⠋⠉⢭⣁⢸⣿⣿⣿⣿⣿⣿⣇⣿⢹⡏⣿⣿⣿⣚⣿⣿⣿⣿⠘⣿⣿⣿⣷⡏⡉⠋⠁⠀⠀⠀⠀⠀⣀⣿⣿⣿⣿⣶⣾⣿⣿⣿⠸⢿⣿⣿⣯⠁⠀⠀⠀⠀⢸⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠛⠛⠛⠒⠛⠛⣉⣉⡉⢉⣭⣠⣤⢸⣿⣿⡀⠀⣘⣿⣿⣿⣿⣿⣿⣿⡆⣿⣿⣿⡿⢶⠀⠀⠀⠀⠀⠀⠀⠈⠿⣿⣿⢿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⠛⡗⠀⡜⠀⠀⣨⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣻
⣀⣄⠀⠀⣠⣤⣍⣭⠿⠇⠸⣿⣿⣿⣾⣿⣿⡇⠀⢸⣭⣿⣿⣿⣿⣽⣹⡇⠛⠛⠛⠿⠾⣰⣄⠀⠀⣤⣄⡀⣀⠀⠈⠉⠀⢈⣿⣿⣿⣿⣿⠀⠒⠛⠚⠈⠁⣼⣷⣤⠤⠿⣟⡛⣿⡿⠛⠙⠛⠿⣟⣛⡭⢉⡥⠀⡠⠛
⣿⣿⣿⣿⣿⣾⣿⣿⣶⣿⣯⣿⡿⢿⡟⣿⣿⣇⣠⣜⣛⣿⣭⣭⣽⣿⣿⡇⠲⠂⠀⠀⠀⢹⣿⣾⣿⡛⠛⠻⠛⠀⠀⠈⠉⢁⣀⣸⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⡆⢸⣿⣿⣿⠟⢣⣤⣀⢠⣆⣿⣾⣧⣼⣤⣤⣷⣿
⠟⠛⠛⠛⠛⠛⢉⠉⢉⣅⣠⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⠿⡇⠀⠀⠀⠲⡄⠙⣫⣭⣵⣾⣿⣾⣿⣤⡀⠀⠀⠹⣏⣹⢸⣿⣿⣿⣶⣼⣿⣿⣴⣿⣿⢿⢿⣿⣭⣿⡆⢿
⣀⣠⣤⡸⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣶⣶⣶⣶⣶⣿⣞⠋⣀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣽⣿⡿⠿⣻⣷⣶⣧⣹⣉⣿⡄⠟⢛⡛⣝⣽⣿⣿⣿⡟⢓⠀⠸⠿⡿⢯⣁⣠
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⠿⡟⣿⣿⡇⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣧⠊⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⢾⣻⣿⠟⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣭⣭⣿⣿⣿⡿
⡿⠿⣟⣛⣻⠯⠭⣽⣉⣠⣤⣤⠤⠒⠒⣣⣿⣿⣧⢿⣿⣿⣿⣿⣿⡇⠀⢀⠀⣿⣿⣿⣿⣿⣿⣿⡁⠀⠄⠀⠀⣰⣶⣤⠀⠀⠀⠀⣿⣿⣿⣐⣯⣐⣢⣿⣿⣿⣿⣿⡿⠘⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠁⠀
⣿⣭⣤⣤⡜⠒⣞⣿⡇⣤⣤⡼⣏⡁⠀⠁⠈⠛⠻⣾⣿⣿⣿⣿⣿⡧⣰⣦⣿⣿⣟⠛⠛⠛⠛⢻⠁⠀⠀⣠⣶⣿⣿⣏⣀⠀⠀⣼⣿⣿⣿⣿⣧⣄⣸⣋⣘⣿⣿⣿⣷⣾⣿⣷⣷⣿⣿⣿⣿⠿⠛⠉⠁⠀⠀⠀⠀⠀
⣿⣿⣿⠿⠿⠿⣷⢼⣗⣛⣿⣭⣷⣶⡆⠀⠀⠀⠀⠀⠈⠉⠛⠻⠟⠁⣿⣿⣿⣿⣿⡆⠀⠀⠀⠸⠆⢀⣠⣿⣿⣿⣿⣿⣷⠓⠀⠘⣿⡿⠿⠿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢭⣄⣠⣤⣴⡎⣾⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⠄⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡂⢤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠛⠛⠛⠉⠁⠻⠿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⡷⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⣀⣤⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⡿⡽⡪⡿⢻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠟⢏⣩⡈⢘⠀⢺⣿⣿⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠂⠀⠀⣾⣿⣿⣇⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡴⣤⡮⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⡥⢍⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡱⠁⠨⣿⣿⣿⠟⠃⠀⠀⠀⠀⠀⣀⢀⣠⡀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡙⠉⢭⠥⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠵⠠⠂⢺⡿⠋⠁⠀⠀⡠⣂⣶⣶⣿⣿⣿⣿⣿⣧
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡿⠹⠀⠈⠀⠀⠀⠀⠀⠐⣢⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⡗
⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⡻⡽⣿⣿⢡⠋⣀⠐⠀⠀⠀⠀⠀⢐⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠋
[22A⠀⠀⢀⣀⣄⣤⡄⢠⠄⠀⣀⣠⣤⣀⣸⣧⢼⡿⣿⠿⢿⣿⣿⣿⣿⣾⣼⡇⢿⣿⣿⣿⡀⢸⣿⣿⣿⣿⡇⠁⠙⠃⠙⣿⣿⣿⣿⠀⢸⣿⣿⡇⢸⣿⣿⣿⣷⠆⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢁⣿⣿⣿⣿
⣿⣶⣶⣿⣞⠉⠩⣍⡀⣽⣿⣿⣿⣿⣟⣿⣈⡇⣿⣸⣿⣿⣿⣿⣿⣿⣿⣇⢸⣿⣷⣿⣾⢉⠉⠁⠀⠀⠀⠀⠀⣀⣀⣿⣿⣿⣿⣶⣾⣿⣿⡇⠸⢿⣿⣿⣄⠁⠀⠀⠀⠀⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠛⠛⠛⠛⠋⠉⠉⣉⣉⠉⣭⣤⣤⡄⣿⣿⣷⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⠟⠃⠀⠀⠀⠀⠀⠀⠀⠹⢿⣿⡿⣿⣿⣿⣿⣿⣿⡇⠀⢻⣿⡟⠃⠆⠀⡂⠀⠀⣴⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⡋
⣠⣤⡄⡀⠀⣤⣤⣭⡬⠻⠀⢹⣿⣿⣷⣻⣿⣿⠀⠀⢭⣽⣿⣿⣿⣇⣛⣿⠘⠛⠛⠻⠷⢂⣦⡀⠀⢠⣤⣀⣀⡀⠀⠉⠁⠀⣸⣿⣿⣿⣿⡇⠐⠒⠓⠀⠀⢠⣶⣦⠠⠴⢿⢛⣻⣿⡿⠛⠙⠋⡿⣛⣫⡍⣩⠅⢀⡀
⣻⣿⣿⣿⣿⢷⣿⣿⣿⣿⣿⣽⣿⢿⣿⢻⣿⣿⡄⣤⣿⣿⣭⣭⣭⣽⣾⣿⡄⠚⠁⠀⠀⠸⣿⣿⣿⣟⠛⣛⠟⠁⠀⠈⠀⢀⣀⣄⣿⣿⣿⡇⠀⡀⠀⠀⠀⢸⣿⣷⠂⣿⣿⣿⡿⠙⣦⣤⡀⢠⣿⣿⣾⣤⣽⣤⣼⣶
⠛⠛⠛⠛⠛⠋⠉⡉⠉⣤⡀⣾⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⢿⣿⣿⣿⠿⠿⠀⠀⠀⠐⢦⠈⢛⣭⣭⣶⣿⣿⣿⣧⣆⠀⠀⠈⢻⢉⡅⢿⣿⣿⣿⣦⣿⣿⣿⣬⣿⡿⡟⣿⣏⣹⣿⠰
⣇⣤⣤⣤⣾⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢻⣿⣿⣿⣿⣿⣿⠏⠀⠀⣶⣶⣶⣶⣶⣾⣷⠉⢡⡀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⠿⢛⣿⣶⣾⣄⣏⣹⣯⠸⠛⡛⢩⣩⣿⣿⣿⣿⠟⠒⠀⠹⠿⡿⢭⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⠿⠿⢿⢹⣿⣿⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣀⠙⠇⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⡷⣟⣿⡿⢻⣿⣿⣿⣿⣿⡟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣽⣿⣿⣿
⣿⡿⣛⣛⡛⠯⠭⢽⣧⣠⣤⡤⠤⠒⠒⣈⡽⣿⣿⡞⣿⣿⣿⣿⣿⡏⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣆⠀⠠⠀⠀⢀⣶⣦⠀⠀⠀⠀⢸⣿⣿⣇⣾⣅⣂⣼⣿⣿⣿⣿⣿⠂⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠀⠀
⣿⣷⣶⣤⣔⡒⢪⣩⣿⢠⣤⣴⢻⡁⠀⠀⠀⠙⠛⣷⣿⣿⣿⣿⣿⡇⠀⠀⠀⠛⠛⠛⠛⠛⠛⢻⡿⠀⠀⢀⣴⣿⣿⣿⣀⠀⠀⢠⣿⣿⣿⣿⣿⣄⣈⣋⣁⣻⣿⣿⣿⣶⣿⣿⣿⣾⣿⣿⣿⡿⠟⠛⠉⠀⠀⠀⠀⠀
⣿⣿⣿⠿⠿⠛⢓⣦⣿⣿⣿⣭⣽⣶⣦⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠗⠀⣠⣾⣿⣿⣿⣿⣿⠞⠀⠈⢿⣿⠿⠿⢿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠥⣦⣄⣤⣤⣶⢸⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡒⠠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠹⠛⠛⠋⠉⠉⠀⠿⢿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⡟⠹⣶⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⣀⣤⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠏⣈⠕⠄⡬⠃⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠉⠻⢿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣷⡭⡃⠛⠌⠢⠀⠀⠀⣿⣿⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠁⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿⣿⣿⣽⣿⣿⣴⠂⡗⠄⡐⠀⢸⣿⣿⣿⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⣿⣿⣿⣿⣿⣿⣷⡮⣹⡄⢣⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣯⡓⣭⠃⠝⣘⣸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡟⢺⢳⡖⠠⠀⠀⣻⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠩⢀⡀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣻⡽⣝⣿⢏⣹⡅⠈⠀⠀⠀⣿⠟⠉⠀⠀⠀⠠⣢⣰⣷⣾⣶⣿⣵⡀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣠⣤⣤⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠫⡬⠷⣵⠀⠨⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣒⣾⣿⣿⣿⣿⣿⣿⣿⡗
⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡾⢟⣻⡇⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢴⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀
[22A⠀⠀⠀⢀⣠⣄⣤⠀⠤⠀⢀⣀⣤⣄⣀⣿⡧⢻⢹⡿⠿⣿⣿⣿⣿⣿⣿⣿⠘⣿⣿⣿⣷⠀⣿⣿⣿⣿⣿⠀⠈⠙⠀⢸⣿⣿⣿⡇⠀⣿⣿⣿⠀⣿⣿⣿⣿⡋⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣸⣿⣿⣿
⣿⣿⣦⣿⣿⡏⠉⠭⣁⠠⣿⣿⣿⣿⣿⣻⣇⣾⢸⣧⣿⣿⣿⣟⣿⣿⣿⣿⡄⣿⣿⣿⣷⡏⠉⠉⠁⠀⠀⠀⠀⢀⣀⣸⣿⣿⣿⣷⣶⣿⣿⣿⠀⠿⣿⣿⣷⡂⠀⠀⠀⠀⠸⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠛⠛⠛⠛⠛⠛⠉⠉⣉⡉⠉⣭⣤⣤⢸⣿⣿⡇⠀⢘⣿⣿⣿⣿⣿⣿⢿⡇⣿⣿⣿⣿⠛⠀⠀⠀⠀⠀⠀⠀⠘⠿⣿⣿⢿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⠟⠗⠅⠀⠀⠀⢠⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠛
⢀⣤⣤⡀⠀⢀⣤⣤⣥⠝⠇⠀⣿⣿⣿⡎⣿⣿⡇⠀⠨⣭⣿⣿⣿⣿⣙⣻⡇⠙⠛⠛⡿⠶⣰⡄⠀⠀⣤⣀⡀⢀⠀⠈⠉⠁⢀⣿⣿⣿⣿⣿⠀⠒⠚⠒⠀⠀⣸⣶⡄⠤⠼⠟⣛⣿⣿⠟⠋⠟⠹⢟⣟⣩⠍⡭⠀⢀
⣿⣿⣿⣿⣿⣟⣶⣿⣿⣿⣿⣿⣿⡿⣿⡟⢿⣿⣷⢠⣬⣿⣿⣭⣭⣭⣵⣿⣷⠐⠞⠁⠀⠀⣿⣿⣾⣿⡛⠛⠿⠇⠀⠀⠈⠀⣀⣀⣼⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣖⢸⣿⣿⣿⡏⢻⣤⣄⠀⣼⣼⣷⣿⣤⣧⣤⣾
⡿⠛⠛⠛⠛⠛⠉⢉⠉⢉⣄⢀⣿⣿⣿⣿⣾⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⢿⡇⠀⠀⠀⢲⡄⠙⣯⣭⣵⣾⣿⣾⣿⣤⡀⠀⠀⠙⡏⣩⠘⣿⣿⣿⣶⣼⣿⣿⣧⣾⣿⢿⢿⣿⣉⣿⣇
⣿⣀⣤⣤⣤⢿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡎⣿⣿⣿⣿⣿⣿⡿⠁⠀⣶⣶⣶⣶⣶⣶⣷⡌⠋⡀⠀⠀⠀⠀⠀⠀⠈⠸⣿⣿⣯⣿⣿⡿⠟⣻⣷⣶⣧⣹⣉⣿⡅⠿⠛⠛⣝⣽⣿⣿⢿⡿⠓⡂⠀⠿⠿⠏⣥
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⠿⠿⠟⣿⣿⡇⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣇⢘⠻⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⣿⣿⣿⢾⣻⣿⠿⣿⣿⣿⣿⣿⡿⢳⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣭⣭⣿⣿⣿
⣿⣿⠿⣛⣛⠻⠭⠭⣿⣅⣤⣤⠤⠔⠒⢂⣩⢹⣿⣷⢹⣿⣿⣿⣿⣿⠃⠀⠀⣿⣿⣿⣿⣿⣿⡇⢳⡁⠀⠄⠀⢀⣴⣶⡄⠀⠀⠀⠀⣿⣿⣿⣰⣯⢐⣠⣿⣿⣿⣿⣿⡇⠘⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠈
⣿⣿⣷⣦⣤⣖⠒⣋⣹⡇⢤⣤⡖⣏⠀⠀⠈⠈⠛⢹⣾⣿⣿⣿⣿⣿⠀⠀⠀⠛⠛⠛⠛⠛⠛⠃⢸⡧⠀⠀⣠⣾⣿⣿⣃⡀⠀⠀⣼⣿⣿⣿⣿⣧⣀⣩⣃⣘⣿⣿⣿⣷⣾⣿⣷⣷⣿⣿⣿⣿⡿⠟⠋⠉⠀⠀⠀⠀
⣿⣿⣿⡿⠿⠿⠛⣶⣼⣿⣾⣯⣭⣷⣶⡀⠀⠀⠀⠀⠁⠈⠉⠛⠻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠜⢂⣀⣴⣿⣿⣿⣿⣿⡷⡃⠀⠹⣿⡿⠿⢿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠉⢤⣦⣤⣤⣶⡆⣽⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡗⠦⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠚⠯⠛⠛⠉⠉⠁⠘⠿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⣿⣝⣿⣽⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣀⣤⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣨⣍⡁⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣕⣻⡪⢅⠕⢹⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣷⠂⠀⠀⠀⠀⠹⢿⣿⣿⣿⣻⣿⣿⣿⡿⢛⡿⠋⢀⠈⠠⠀⣹⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠻⢿⣿⣿⣿⣷⡄⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⢿⣿⣿⣯⣶⢢⢖⠐⠀⠀⣽⣿⣿⣁⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠃⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡥⢡⣐⡁⡅⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⣿⣿⣟⣿⣿⣿⢾⡎⠔⢥⡀⣈⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣟⢿⣿⡀⣈⠄⠀⠀⢸⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠩⠅⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⣿⣿⡿⣻⣽⠏⢜⠆⠗⠄⠀⠀⢸⡿⠟⠉⠀⠀⠀⠀⢐⣤⣴⣶⣦⢠⠄
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⣯⠿⣿⣟⢏⠜⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⢰⣾⣿⣿⣿⣿⣿⣸⡇
⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢹⣿⢽⣓⡌⠊⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣬⣿⣿⣿⣿⣿⣿⣿⣿⡟⠃
[22A⡀⠀⠀⠀⠀⣀⣀⡄⠠⡄⠀⠀⢀⣀⣀⣸⣿⠛⡇⣿⢿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⡇⢸⣿⣿⣿⣿⡇⠁⠙⠃⠀⣿⣿⣿⣿⠀⢸⣿⣿⡇⢸⣿⣿⣿⡷⠄⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⣼⣿⣿
⣿⣿⣧⣤⡿⠿⠛⠛⠕⡁⢸⣿⣿⣿⣿⣿⣿⣠⣇⣿⡾⣿⣿⣿⣛⣿⣿⣿⣷⢸⣿⣷⣿⣾⠉⠉⠋⠉⠉⠁⠀⠀⠀⣀⣿⣿⣿⣿⣤⣾⣿⣿⡇⠸⢿⣿⣿⣇⠀⠀⠀⠀⠀⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠛⠛⠛⠛⠛⠒⠛⠛⠛⢉⠉⢉⣍⣁⡀⢿⣿⣿⠀⠀⣘⣿⣿⣿⣿⣇⡟⣿⢸⣿⣿⣿⡷⠆⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⡿⠻⠂⠀⢀⠀⠀⣨⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛
⡆⣠⣤⣤⠄⠀⣠⣤⣭⣀⠿⠀⢸⣿⣿⣿⢸⣿⣿⠀⠀⢿⣽⣿⣿⣿⣿⣭⣿⠀⠛⠛⢻⡷⢂⡄⠀⠀⢀⡀⠀⠀⠀⠀⠉⠉⠈⢸⣿⣿⣿⣿⡇⠐⠒⠓⠒⠈⢀⣶⣦⢠⠤⠿⢟⣻⣿⡿⠛⠙⠛⠿⣿⣛⡭⢉⡭⠀
⣿⡾⣿⣿⣿⣿⣳⣾⣿⣿⣾⣿⣿⣿⡿⢿⠿⣿⣿⡇⣀⣘⣛⣿⣭⣭⣭⣽⣿⡇⠲⠒⠀⠀⢸⣿⣦⣶⡾⠿⠿⡿⠂⠂⠀⠈⠈⣁⣀⣽⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⡂⣿⣿⣿⣿⠙⢧⣄⡀⢠⣧⣿⣾⣧⢼⣤⣤
⣿⡿⠿⠛⠛⠛⠛⢛⠉⠉⢉⣁⣰⣿⣿⣿⣷⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠸⣿⣿⣿⣿⣶⣶⠀⠀⠀⠠⣄⠘⢛⣭⣭⣼⣿⣷⣿⣧⡄⠀⠀⠈⢻⢍⣁⢿⣿⣿⣿⣤⣿⣿⣿⣤⣽⣿⡿⢿⣯⣉⣿
⣿⣇⣀⣤⣤⡹⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⠟⠀⣶⣶⣶⣶⣶⣶⣷⡝⠛⡉⠁⠉⠀⠀⠀⠀⠀⠐⢿⣿⣿⣿⣿⣿⡿⢟⣿⣴⣾⣘⣎⡙⠯⠸⠟⢛⢫⣋⣿⣿⣿⣿⠿⠒⠀⠸⣿⠿⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣾⡿⠿⢿⣿⣿⢸⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⡏⣧⠀⠻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⡷⣞⣿⡿⢿⣿⣿⣿⣿⣿⠟⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣙⣿⣿
⣿⣿⡿⠿⣛⣛⣻⠭⠭⣯⣁⣠⣤⡤⠔⠒⣒⡏⣿⣿⡇⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⡇⢸⡀⠁⡀⠀⠀⣠⣶⣤⠀⠀⠀⠀⣽⣿⣿⣇⢯⡅⠂⣾⣿⣿⣿⣿⣿⠂⠻⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠉
⢿⣿⣿⣵⣤⣤⡒⠒⣏⣿⡠⣤⣤⢾⡀⠀⠁⠀⠛⠛⣷⣿⣿⣿⣿⣿⠀⠀⠀⠛⠛⠛⠛⠛⠛⠃⠀⣷⠀⠀⢀⣤⣿⣿⡟⣀⠀⠀⢠⣿⣿⣿⣿⣿⣀⠸⣝⢉⣻⣿⣿⣿⣤⣾⣿⣾⣼⣿⣿⣿⣿⠿⠟⠋⠁⠀⠀⠀
⣾⣿⣿⣿⡿⠿⠿⠟⣦⢿⣗⣻⣯⣭⣷⣆⠀⠀⠀⠀⠉⠈⠉⠛⠻⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠇⠀⣠⣾⣿⣿⣿⣿⣷⢗⠀⠘⣿⣿⠿⢿⣿⣿⣿⣞⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀
⡍⠉⣤⣄⣤⣤⣶⣨⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⠦⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀
⣷⡿⠽⠛⠛⠉⠉⠀⠻⢿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⢫⡝⣆⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀
⡇⢀⣀⣀⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣭⣿⣿⣯⣍⡉⠉⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣷⣫⢼⠙⠟⠉⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⢿⣿⣿⣿⣿⣯⣀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣯⣿⣾⣩⠟⠉⠙⠐⠂⠀⠀⢀⣿⣿⣿⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣹⡺⣤⠦⠀⠀⠀⠀⢸⣿⣿⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⣿⣿⣿⣿⣿⣿⣯⠅⠀⠄⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡻⢿⠁⠀⠀⠀⠀⠀⣻⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠭⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡣⠁⣒⠀⠁⠀⠀⠀⠀⣿⡿⠛⠁⠀⠀⠀⠀⢀⣀⣠⣄⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⣤⣤⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⢿⣛⢿⡟⠗⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⣀⣠⣾⣿⣿⣿⣿⣞⠀
⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣗⡯⡠⠈⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢤⣷⣾⣿⣿⣿⣿⣿⣿⡏⠁
[22A⠀⠀⠀⠀⠀⠀⢀⢀⡀⢀⡀⠀⠀⢀⣀⠀⢸⣿⡉⡟⣿⢿⣿⣿⣿⣶⣺⢸⢹⡇⢿⣿⡆⣻⡄⢸⣿⣿⣿⣿⡇⠁⠙⠃⠁⣿⣿⣿⣿⠀⢸⣿⣿⡇⢸⣿⣿⣿⣶⠄⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⣸⣿
⣿⣷⣶⣶⣀⣾⣿⠟⠓⡂⠃⣰⣾⣾⣿⣿⡿⣿⠀⡇⣿⣐⣾⣿⣿⣿⣿⣿⣿⣇⢸⣿⣇⣻⢴⠈⠙⠛⠛⠛⠇⠀⠀⠀⠀⣿⣿⣿⣿⣤⣼⣿⣿⡇⢸⣿⣿⣿⣦⠀⠀⠀⠀⠀⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠿⠿⠿⠿⠿⠿⠶⠖⠚⠓⠚⠛⢛⣉⣉⡉⣿⣿⣷⠉⠘⣿⣿⣿⣻⣿⣯⣯⣿⢸⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠘⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⡿⠙⠀⠀⣀⠀⠀⣐⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣇⣀⣀⡀⠀⠀⢀⣀⣀⣀⣙⠀⢸⣿⣿⣷⢹⣿⣿⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⠘⠿⠟⢻⡇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠈⢹⣿⣿⣿⣿⡇⠀⠐⠛⠒⠀⢀⣶⣦⣀⡤⠿⠿⢻⣿⡿⠛⠙⠛⠿⣟⣛⡭⢉⡭
⣿⣷⡾⣿⣿⣾⣶⣾⣽⣿⣷⣶⣶⣾⣿⣿⡿⠾⣿⣿⡆⣀⣰⣞⣛⣛⣯⣭⣭⣿⡄⠖⠀⠀⢰⣿⣄⣠⣤⣶⣦⣤⠆⠀⠐⠀⠀⠉⠈⢉⣿⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⠀⣾⣿⣿⡿⠻⢧⣐⡀⢠⣆⣿⣿⣧⢬⣥
⣿⣿⡿⠿⠿⠿⠿⠛⠛⠛⠛⠉⠉⢹⣷⣾⣿⣷⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⢸⣿⣿⣿⣧⣤⣬⠉⠀⠀⠠⢤⡄⠛⣛⣙⣮⣼⣿⣷⣿⣧⡀⠀⠀⠘⢿⢁⡆⣿⣿⣿⣷⣤⣾⣿⣿⣤⣽⣿⣿⢿⡍⡉
⣿⣿⣷⢀⣀⣀⣰⣾⣿⣿⣼⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⢹⣿⣿⣿⣿⣿⠋⠀⣶⣶⣶⣶⣶⣶⣿⡛⢟⠛⠋⠛⠀⠀⠀⠀⠈⠁⠰⣿⣿⣿⣻⣿⣿⡿⢿⣷⣤⣶⡐⡎⣹⠇⠹⠿⢛⢛⣛⣿⣿⡿⣿⠿⠶⠀⠈⣿⠿
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⢸⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⡟⡇⠀⢶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⣿⣿⣿⢵⣖⣿⡟⣿⣿⣿⣿⣿⣿⢷⣴⣿⣿⣿⣿⣻⣿⣷⣿⣿⣟⣛⣛⣿
⣈⣿⣿⣿⠿⠿⢿⣛⡛⠿⣿⢉⣁⣠⣤⠤⠄⠒⡏⣿⣿⡎⣿⣿⣿⡿⠃⠀⠀⣿⣿⣿⣿⣿⣿⡇⢸⠀⠀⠁⠀⠀⠀⣦⣤⡄⠀⠀⠀⠀⣿⣿⣿⣌⣯⡡⠆⣿⣿⣿⣿⣿⣿⠘⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿
⠉⢻⣿⣿⣭⣋⣥⠤⠔⣒⣿⢉⣩⣤⢶⠀⠀⠉⠓⠻⠛⣷⣿⣿⣿⠇⠀⠀⠀⠛⠛⠛⠛⠛⠛⠃⢸⡇⠀⠁⠂⣀⣼⣿⣿⠃⠀⠀⠀⣴⣿⣿⣿⣿⣯⣍⡹⠟⠙⣻⣿⣿⣧⣤⣾⣷⣦⣼⣿⣿⣿⣿⡿⠟⠛⠉⠀⠀
⣶⣼⣿⣿⣿⣿⡿⠿⠿⣭⢽⣗⣟⣻⣭⣥⡄⠀⠀⠀⠀⠋⠉⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⣴⣿⣿⣿⣿⣿⣥⡀⠀⢻⣿⡿⠿⣿⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀
⣿⡟⢉⢭⡅⣀⣤⣴⢘⣻⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣶⣶⣤⣀⣤⣶⣾⣿⣿⣿⣿⣿⣿⡧⢀⣠⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀
⣿⡇⣶⠎⠝⠛⠋⠉⠁⠿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡟⠛⠙⢰⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀
⢹⡇⠀⢀⣀⣠⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠩⠙⠻⠿⣿⡿⠿⠿⠏⠙⠛⠋⠉⠉⠙⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢻⠋⠁⠁⠀⠄⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⣿⣿⣿⣿⡿⣫⣽⠎⢄⢈⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣧⣿⣻⣽⣆⠈⠁⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡏⢀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡿⣿⣿⣿⣷⣾⣾⣷⠂⠀⠠⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⣟⣿⣿⣿⣿⣿⡟⠟⡄⠅⠀⠀⠀⠀⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣻⣿⣿⣿⣽⡇⠲⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡙⠉⠩⠭⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⠛⡃⠠⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡋⡋⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⢀⠢⣬⣿⠌⠀⠀
⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⢴⣤⣽⣭⣿⣯⠅⠀⠀
[22A⡇⠀⠀⠀⠀⠀⠀⣀⣀⠀⢀⠀⠀⠀⡀⡀⠀⣿⣏⢱⢻⡿⣿⣿⣿⣷⣶⡇⡇⣿⢸⣿⡷⢹⣧⠀⣿⣿⣿⣿⣿⠀⠈⠟⠈⢸⣿⣿⣿⡇⠈⣿⣿⣿⠀⣿⣿⣿⣿⣆⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢀⣿
⣿⣿⣶⣶⣆⣰⣿⡿⠛⢓⠘⢀⣾⣷⣿⣿⣿⢿⡇⣼⢸⣇⣶⣿⣿⣿⣿⣿⣿⣿⠈⣿⣿⣸⣷⡖⠋⠉⠙⠛⠿⠀⠀⠀⠀⣸⣿⣿⣿⣧⣤⣿⣿⣿⠀⣿⣿⣿⣯⡅⠀⠀⠀⠀⠘⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡿⠿⠿⠿⠿⠿⠧⠴⠒⠛⠒⠛⠛⣋⣉⣉⢹⣿⣿⡌⠁⢻⣿⣿⣟⣿⣿⣽⣽⡆⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠘⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⠟⠅⠀⠀⠀⠀⢀⣡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣀⣀⣀⡀⠀⠀⣀⣀⡀⣘⡇⠀⣿⣿⣿⡼⣿⣿⡇⠀⠘⣿⣿⣿⣿⣿⣿⣿⡇⠿⠿⠛⢇⡀⠀⠀⠀⠀⠀⠀⠈⠠⠀⠈⠉⠉⠉⣿⣿⣿⣿⣿⠀⠐⠚⠒⠂⠀⣴⣶⡄⡠⠼⠿⠛⣿⣿⠟⠋⠟⠻⢿⣟⣫⠍⣩
⣿⣿⣷⢿⣿⣷⣷⣶⣯⣿⣿⣷⣶⣶⣿⣿⣿⠷⣿⣿⣧⢀⣐⣶⣛⣛⣿⣭⣭⣽⡇⠀⠀⠀⣸⣿⣄⣤⣼⣶⣦⣤⠂⠀⠀⠀⠀⠉⠁⠉⣹⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⡇⢸⣿⣿⣿⠏⠳⣤⣀⠀⣼⣼⣷⣿⡤⣬
⣿⣿⣿⠿⠿⠿⠿⠿⠛⠛⠛⢋⠉⠉⣿⣶⣿⣿⣾⣿⣿⢸⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⢹⣿⣿⣿⣧⣤⣬⠁⠀⠀⠀⠤⣤⠘⢟⣋⣷⣵⣿⣿⣾⣧⣄⠀⠀⠀⠻⡇⣰⢸⣿⣿⣿⣦⣼⣿⣿⣣⣬⣿⣿⡿⣿⣉
⢸⣿⣿⡆⣀⣀⣀⣶⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡜⣿⣿⣿⣿⡿⠁⠀⣶⣶⣶⣶⣶⣶⣿⡛⠛⠉⠈⠛⠀⠀⠀⠀⠀⠉⠀⢿⣿⣿⣻⣿⣿⣿⠿⣿⣤⣶⣆⢲⢉⣿⠘⠿⠟⡛⣛⣹⣿⣿⢿⡿⠗⠆⠀⢿⡿
⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⡇⣿⣿⣿⣿⠃⠀⠀⣿⣿⣿⣿⣿⣿⡟⡇⠀⢾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⡯⣶⣿⣿⢿⣿⣿⣿⣿⣿⡟⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣛⣻
⣧⣹⣿⣿⡿⠿⠿⣛⣛⠻⢿⡍⣉⣀⣤⠤⠤⠒⢲⢿⣿⣷⢻⣿⣿⡏⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⢠⠂⠀⠃⠀⠀⢀⣷⣶⡄⠀⠀⠀⢀⣿⣿⣿⣧⣽⡉⠴⣸⣿⣿⣿⣿⣿⠇⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿
⠉⠙⣿⣿⣯⣭⣩⡤⠄⢒⣻⡏⣉⣥⡤⡆⠀⠉⠙⠺⠟⣿⣾⣿⡟⠀⠀⢰⣷⣿⡛⠛⠛⠛⠛⠃⠈⠂⠂⠁⠂⣠⣿⣿⣿⢁⡀⠀⠀⣼⣿⣿⣿⣿⣿⣷⣼⠟⠉⣻⣿⣿⣿⣤⣴⣿⣶⣤⣿⣿⣿⣿⣿⠿⠛⠉⠁⠀
⣶⣦⣿⣿⣿⣿⣿⠿⠿⢿⡭⣿⣺⣛⣯⣽⣄⠀⠀⠀⠀⠘⠉⠙⠁⠀⢠⣼⣿⡿⠃⠀⠀⠀⠀⠀⠀⡆⠀⠀⣸⣿⣿⣿⣿⣿⡷⡇⠀⠻⠿⠟⢙⣿⣿⣿⣿⣋⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀
⣿⣿⠋⢩⣥⢀⣠⣤⣆⣹⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡿⠿⠃⠀⠀⠀⠀⠀⠀⠀⡥⣶⣾⣿⣿⣿⣿⣿⣿⣷⣶⣡⣤⣶⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀
⣿⣿⣶⡾⠿⠛⠛⠋⠉⠹⢿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠟⡛⢇⣿⣿⣿⣿⣿⠅⠀⠀⠀⠀⠀⠀
⡉⣿⠀⢀⣀⣠⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠙⠻⣄⣹⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⠋⠝⠤⠨⠂⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⢿⣻⣽⣯⢜⠉⠂⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⡿⠩⡢⢇⡠⡀⠀⠀⠅⠀⠀⣿⣿⣿⠁⡀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣟⣿⣘⠈⠂⠀⠀⢠⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣽⣿⣿⢝⣯⠚⠀⠀⡀⠀⢸⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢿⣿⣭⣿⣿⡿⢄⠋⠂⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⢩⠭⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣳⣿⣷⢹⠶⣍⠠⠀⠀⠀⠀⠀⠀⢸⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡧⢯⠯⢃⢞⠄⠔⠂⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⣰⣦⣔⡗⠀⠀
⠸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡯⠓⡳⠈⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⣦⣴⣾⣿⣾⠌⠀⠀
[22A⣿⡀⠀⠀⠀⠀⠀⢀⠀⡀⠀⡀⠀⠀⠀⠀⠀⢸⣿⠹⡼⣧⣿⣿⣿⣿⣶⣿⢸⢸⡇⣿⣿⠐⣿⠀⢸⣿⣿⣿⣿⡇⠀⢹⠃⢹⣿⣿⣿⡏⠀⣻⣿⣿⡇⢸⣿⣿⣿⣷⡄⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸
⣿⣿⣷⣶⣶⣀⣲⣿⠟⠓⡢⠃⢰⣾⣾⣿⣿⡿⣿⢰⡇⣿⣰⣾⣿⣿⣿⣿⣿⣿⡇⢻⣿⣏⣯⠖⠈⠉⠉⠻⢿⡇⠀⠀⠀⢈⣿⣿⣿⣿⣤⣼⣿⣿⡇⢸⣿⣿⣿⣅⠀⠀⠀⠀⠀⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⡿⠿⠿⠿⠿⠤⠶⠞⠓⠚⠛⢛⣋⣉⡉⣿⣿⣇⠉⠙⣿⣿⣿⣻⣿⣯⣿⣧⢸⣿⣿⠏⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⡿⠛⠀⡀⠠⠀⠀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣇⣀⣀⣀⡀⠀⢀⣀⡀⢈⣻⠀⢸⣿⣿⣧⢿⣿⣿⠀⠀⣹⣿⣿⣿⣿⣿⣿⣿⠸⠿⠟⣀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠄⠀⠉⠁⠉⢹⣿⣿⣿⣿⡇⠠⠘⠓⠒⠀⢠⣶⣦⣀⠤⠿⠿⢻⣿⡿⠛⠹⠛⠿⣟⣛⡭⠉
⢻⣿⣿⡾⣿⣿⣶⣶⢿⣽⣿⣷⣶⣶⣾⣿⣿⡿⢾⣿⣿⡀⣀⢶⣼⣛⣻⣿⣭⣭⠟⠀⠀⠀⣿⣧⣠⣤⣾⣶⣤⡖⠀⠀⠀⠀⠂⠀⠉⠉⠉⣿⣿⣿⡇⠀⠀⠀⠀⠀⣼⣿⣷⢰⣿⣿⣿⡞⠻⣦⣐⡀⢠⣆⣿⣿⣧⠤
⣸⣿⣿⡿⠿⠿⠿⠿⠟⠛⠛⡛⠋⠉⢹⣷⣾⣿⣾⣿⣿⡇⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⢿⣿⣿⣿⣦⣤⡌⠀⠀⠈⠁⠤⢤⠀⠻⣛⣛⣮⣿⣿⣷⣿⣤⠀⠀⠀⠛⢿⣀⡎⣿⣿⣿⣧⣤⣿⣿⣟⣬⣽⣿⣿⢿⡏
⡀⣿⣿⣷⠀⣀⣀⣰⣶⣾⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢿⣿⣿⣿⠟⠀⠀⣶⣶⣶⣶⣶⣾⣿⠉⢉⠀⠈⠁⠀⠀⠀⠀⠀⠈⠀⣼⣿⣟⣻⣿⣿⣿⡿⢿⣧⣴⣆⠲⡊⡹⡇⠿⠿⢛⣛⣋⣿⣿⡿⣿⡿⠶⠀⠘⣿
⣷⢸⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡆⠴⢿⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⢦⣶⣿⣿⣿⣿⣻⣷⣷⣿⣿⣞⣛⣛
⣿⣄⣿⣿⣿⠿⠿⢿⣛⡛⢿⣯⢉⣁⣠⡤⠤⠄⠚⣺⣿⣿⣿⣿⣿⣿⡆⠀⠀⣿⣿⣿⣿⣿⣿⡇⢃⠊⠀⡀⠀⠀⣸⣿⣶⠀⠀⠀⠀⣸⣿⣿⣿⣿⣼⣏⠥⢰⣿⣿⣿⣿⣿⡧⠸⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠉⠉⢻⣿⣿⣭⣋⣥⠤⠜⣚⣿⢉⣭⣤⢴⠀⠈⠉⠃⠿⢻⣿⣿⣿⣿⡇⠀⠀⠛⠛⠛⠛⠛⠛⠃⢘⠀⠀⠀⢁⣴⣿⣿⣿⣠⡀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣯⠿⠋⢛⣿⣿⣿⣧⣴⣿⣶⣤⣾⣿⣿⣿⣿⡿⠟⠛⠉⠀
⣶⣶⣼⣿⣿⣿⣿⡿⠿⠿⣭⢿⣶⣟⣿⣽⣥⠀⠀⠀⠀⠈⠋⠙⠻⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠆⠀⠀⣸⣿⣿⣿⣿⣿⡿⠁⡄⠙⣿⣿⡿⢿⣿⣿⣷⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀
⣿⣿⡏⠉⣭⡄⣀⣤⣴⣘⣻⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠈⠠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡤⣶⣾⣿⣿⣿⣿⣿⣿⡿⣾⣴⣈⠉⢿⣟⣲⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀
⣿⣿⣷⡾⠿⠏⠛⠛⠉⠉⠿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠫⠇⢺⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀
⣟⣸⡇⠀⣀⣀⣤⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠙⠹⢤⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠟⠍⠍⡀⠄⠠⠀⢹⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣟⣯⡿⢫⡫⠀⠔⡠⠂⠐⠀⠀⣹⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣟⡅⢚⣑⢟⣓⢀⠀⡀⠀⠀⣿⣿⣽⡏⢀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣜⡐⣁⡔⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣾⣿⣿⣿⣿⣿⣿⣿⠼⠄⣁⡆⠄⠀⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡿⣿⣿⣿⣿⣿⣿⣷⡇⡨⣊⡀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠉⠉⠭⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⣿⠿⣻⣍⠐⡤⠄⠐⠂⠀⠀⠲⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⢿⡿⠥⢝⠐⠙⢘⠀⠂⠀⠀⠀⠀⠈⠋⠀⠀⠀⠀⠀⢠⢀⣠⠠⠀⠀
⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢹⢂⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣌⣽⣿⠥⠀⠀⠀
[22A⣿⡇⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠟⣇⣿⣼⣿⣿⣿⣿⣿⣷⣿⣧⢸⣿⣿⣿⡇⠀⣿⣿⣿⣿⡇⠀⠘⠏⠀⣿⣿⣿⣿⠉⢹⣿⣿⣿⢸⣿⣿⣿⣧⡀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀
⣿⣿⣿⣶⣶⣄⣰⣾⡿⠿⠦⠜⠀⣦⣶⣿⣿⣿⣿⡆⢼⢹⡇⣿⣿⣿⠿⣿⣿⣿⣿⢸⣿⣯⠟⠁⠀⠉⠙⠻⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣤⣼⣿⣿⣿⢸⣿⣿⣿⣭⡍⠀⠀⠀⠀⢸⡿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣾
⣿⣿⣿⣿⣿⣿⠿⠷⠦⠤⠼⠾⠚⠛⠛⣛⣋⡉⢹⣿⣿⠈⠁⠛⣿⣿⣿⣿⣿⣿⣿⠈⣿⡟⠀⠀⠀⠀⠀⠀⠈⢿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠰⣿⣿⠿⠲⠀⠐⠀⠀⢀⣂⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢻⣿⣿⡀⣀⣀⣀⠀⠀⣀⣀⢀⡚⠆⠈⣿⣿⣿⣼⣿⣿⡆⠀⢩⣹⣿⣿⣿⣿⡹⣿⡄⠿⢇⡀⠀⠀⢀⠀⠀⠀⢸⣿⣿⡀⠀⠙⠋⠈⢉⣿⣿⣿⣿⣿⠀⠤⠝⠙⠀⠀⣴⣤⣀⣀⢼⠿⠿⣿⣿⡿⠟⡟⢻⠿⠿⢛⡋
⠸⣿⣿⣦⢿⣿⣧⣶⡾⣭⣿⣿⣦⣴⣖⣿⣿⣿⡷⣿⣿⡇⣀⡸⠷⣿⣛⣛⣿⡭⠉⠀⠀⢸⣿⣤⣶⡾⠿⠶⡾⠁⠀⠀⠠⠀⠒⠂⠈⠉⠉⢹⣿⣿⣿⠀⠀⠀⠀⠀⢰⣿⣿⠄⣶⣾⣿⣷⠻⢷⣈⡀⠀⣀⣸⣯⣿⡀
⣅⣿⣿⣿⡾⠿⠿⠿⠿⠟⠛⠛⢛⠋⠉⣿⣷⣾⣷⣿⣿⣷⢹⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠘⢿⣿⣿⣷⢶⣶⠀⠀⠀⠀⠣⠤⢤⡀⠺⣿⣛⣫⣽⣿⣿⣶⣦⡀⠀⠀⠘⢿⡟⡂⢿⣿⣿⣿⣠⣸⣿⣾⣢⣽⣿⣿⣿⡿
⣉⢸⣿⣿⡄⢀⣀⡀⣶⣶⣿⣤⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⠏⠀⠀⣶⣶⣶⣶⣶⣶⣿⠩⢁⡀⠈⠀⠀⠀⠀⠀⠈⠙⢳⣾⣟⣻⣿⣿⣿⣿⣿⢿⣷⣤⣴⠐⡞⢺⣇⢸⠿⠿⢛⡚⣻⣿⣿⢿⡿⠯⠌⠀⣻
⣿⡄⣿⣿⣿⣿⣿⣿⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⠘⢧⠀⠀⠀⢀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⢽⠶⣾⡿⣿⣿⣿⣿⣿⣿⠶⣴⣾⣿⣿⣟⣻⣿⣾⣷⣾⣶⣒⣒
⣿⣇⣹⣿⣿⡿⠿⠿⣿⣛⡛⣿⡉⣉⣁⣀⠤⠤⢽⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⡟⣇⠀⢈⠀⠀⠀⣼⣶⡦⠀⠀⠀⠀⣿⣿⣿⣿⣿⣮⣟⡩⠄⣿⣿⣿⣿⣿⣿⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠋⠉⠙⣿⣿⣯⣝⣩⡤⠤⠒⣻⡏⣉⣥⡴⡀⠀⠉⠙⢿⣿⣿⣿⣿⣿⠀⠀⠀⠛⠛⠛⠛⠛⠛⠃⢹⠀⠀⠀⢀⣼⣿⣿⣇⣤⡀⠀⢰⣿⣿⣿⣿⣿⣿⣿⡇⢹⠛⠹⣻⣿⣿⣯⣴⣦⣦⣤⣸⣿⣿⣿⣿⣿⡿⠟⠛⠉
⣴⣶⣦⣿⣿⣿⣿⣿⠿⠿⣭⠽⣧⣿⣛⣿⣧⡄⠀⠀⠀⠉⠛⠻⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠄⠀⢀⣼⣿⣿⣿⣿⣿⡻⠀⠌⣹⣿⣿⣿⠿⣿⣿⣧⡜⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀
⣿⣿⣿⠉⣩⣭⣀⣀⣤⡔⣹⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠢⣼⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣤⢲⣿⣿⣿⣿⣿⣿⣿⡟⣺⣾⡟⠛⠿⢿⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣶⡾⠯⠛⠛⠋⠁⠹⢿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢛⡯⠽⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀
⣿⡉⣿⠀⢀⣀⣠⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠀⠀⠀⠀⠀⠀⠉⠩⣌⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⣟⠉⠁⠒⠀⠀⢸⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⢿⣟⣿⡟⠋⠆⠀⠈⠀⠀⠀⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣏⡭⢁⠁⠤⠂⠀⠀⠐⠀⠀⢸⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣷⣿⣿⣦⠀⠀⠀⠀⠀⢸⣿⣿⣿⣾⠃⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣾⣿⣿⣿⣿⣿⣿⣿⢫⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡧⢑⠂⠀⠀⠄⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⠉⠉⠩⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠇⡪⠃⠁⠀⠀⠀⠀⠀⠀⣿⣿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢿⣿⡟⡚⡊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀
⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣒⠫⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⢴⣭⣖⡉⠀⠀⠀
[22A⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡿⢻⢸⣧⣿⣿⣿⡿⠿⣿⣿⣿⠈⣿⣿⣻⣿⠀⢿⣿⣿⣿⣿⠀⠀⢻⠀⢸⣿⣿⣿⡏⠉⣿⣿⣿⠀⣿⣿⣿⡇⡀⠀⠀⠀⠀⠀⣿⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀
⣿⣿⣷⣶⣴⣆⣀⣶⣿⠿⠧⠬⠁⣲⣶⣿⣿⣶⢾⡇⢸⣸⣧⣿⣿⣿⣿⣿⣿⢸⢿⡀⣿⡿⠈⠉⠀⠉⠙⢻⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣇⣠⣿⣿⣿⠀⣿⣿⣿⣇⡉⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤
⢻⣿⣿⣿⣿⣿⣿⡿⠷⠤⠤⠵⠶⠛⠛⠛⠛⠋⠹⣿⣯⡇⠉⢉⣻⣿⣿⣿⣿⣸⢻⡇⣿⠁⠀⠀⠀⠀⠀⠀⠙⣿⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⡿⠃⠄⠀⠀⠀⠀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠸⣿⣿⡄⠀⣀⣀⡀⠀⢀⣀⠀⠀⠣⠀⢿⣿⣿⡆⣿⣿⡇⠀⢸⣯⣿⣿⣿⣿⣍⢼⡇⠹⢀⠀⠀⠀⣀⠀⠀⢀⣿⣿⣿⢃⠈⠙⠛⠋⠋⣿⣿⣿⣿⣿⠀⠠⠭⠭⠀⠀⣠⣤⡀⣀⣠⡿⠿⣿⣿⡿⠟⠹⠟⣿⠿⠟⣛
⠀⣿⣿⣷⣽⣿⣷⣶⣶⢯⣽⣿⣧⣤⣶⣺⣿⣿⣷⢿⣿⣿⠀⡀⠿⠿⣾⣛⣛⡛⠋⠁⠀⣿⣷⣴⣶⠟⠛⠾⠏⠁⠉⠀⠄⠠⠀⠀⠀⠀⠉⠙⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⡅⢰⣶⣶⣷⡝⠿⣀⠀⠀⢀⢒⣿⣽⣇
⣭⣸⣿⣿⣷⡿⠿⠿⠿⠾⠟⠛⠛⠛⠉⣹⣷⣶⣶⣼⣿⣿⢸⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠹⣿⣿⣿⣶⢾⡇⠀⠀⠀⠀⠶⣤⣀⡀⠰⠶⣛⣋⣩⣿⣿⣶⣆⡀⠀⠀⠠⢿⡏⢱⢸⡿⣿⣿⣅⣀⣿⣿⡆⣈⣿⣿⡿⣿
⣉⠉⣿⣿⡇⠀⢀⡀⢲⣶⣶⣦⣶⣾⣷⣿⡿⣿⣿⣿⣿⣿⡆⣿⣿⣿⠏⠀⠀⣶⣶⣶⣶⣶⣶⣷⠉⢁⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣷⣀⣤⡤⢄⠒⣿⢸⣿⠿⠿⡻⢻⣿⣿⣿⢿⡯⡭⠁⢻
⣿⣇⢹⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡇⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⠻⡇⠀⠀⠀⡀⠀⠀⠀⠀⠀⠹⣿⣯⣿⣿⣿⣯⡥⣾⣿⣿⣿⣿⣿⣿⣾⡶⣠⣤⣷⣿⣿⣿⣿⣮⣽⣶⣶⡶⠖
⣿⣿⣸⣿⣿⣿⠿⠿⠿⣟⣛⢻⡏⢉⣉⣀⡈⠤⠤⢘⢻⣿⣷⢹⣿⣿⡄⠀⠀⣿⣿⣿⣿⣿⣿⣿⡄⠀⢈⠀⠀⢀⣷⣶⡄⠀⠀⠀⢀⣿⣿⣿⣿⣿⣧⣟⡋⡅⣼⣿⣿⣿⣿⣿⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠉⠉⣿⣿⣧⣭⣉⡤⠤⢔⢺⣏⢉⣉⣤⡆⠀⠈⠉⠸⣿⣿⣾⣿⣿⣷⣤⡀⠛⠛⠛⠛⠛⠛⠋⠇⠀⠀⠈⢠⣾⣿⣿⣃⡄⡀⠀⢺⣿⣿⣿⣿⣿⣿⣿⡇⢰⡿⠛⢛⣿⣿⣿⣀⣤⣶⣬⣈⣿⣿⣿⣿⣿⣿⠿⠟⠋
⣤⣶⣶⣼⣿⣿⣿⣿⡿⠷⢯⡭⣿⢸⣟⣳⣿⡄⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⢰⡀⠀⢀⣿⣿⣿⣿⣿⣿⠋⢀⠊⣹⣿⣿⣿⠿⣿⣿⣧⡴⢲⣶⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⡏⠉⠀⠀⠀⠀
⣿⣿⣿⡋⠉⣭⢁⣀⣤⡤⢘⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢘⡤⣴⣿⣿⣿⣿⣿⣿⣿⡗⣪⣾⡿⠛⠿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀
⣿⣿⣿⣧⡶⠏⠛⠛⠉⠉⠸⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠃⠀⠀⠀⠀⠀⠀⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠉⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀
⣿⣇⣿⠀⠀⣀⣀⣤⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠉⠡⣈⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠁⠀⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⡿⡟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣍⠀⠳⡬⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣟⣿⠋⠁⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡋⡂⡉⠩⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣶⡇⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢆⠀⡗⡐⠐⡣⠊⠁⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣷⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠂⠀⠑⠀⠐⠄⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⠉⠉⠉⠥⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⡠⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠸⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀
[22A⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠛⡎⣿⣼⣾⣿⣿⠈⢻⠸⢸⡇⣿⣿⠉⢿⠅⢸⣿⣿⣿⣿⡇⠀⠿⡇⠁⣿⣿⣿⣿⠛⢻⣿⣿⡇⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀
⢻⣿⣿⣶⣦⣶⣀⣰⣾⡿⠿⠤⠏⠠⣶⣾⣿⣷⡾⣿⠀⡇⣿⠨⣿⣿⣿⣿⣿⡆⣾⡇⢸⣿⠃⠉⠁⠈⠛⢿⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⣀⣸⣿⣿⡇⢸⣿⣿⣿⣘⠁⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣀
⣘⣿⣿⣿⣿⣿⣿⣿⠿⠦⠤⠭⠶⠼⠛⠛⠛⠛⠃⣿⣾⣧⠉⠉⣭⣟⣿⣿⣿⣏⣟⣇⢸⠀⠀⠀⠀⠀⠀⠀⠻⣿⣷⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⢹⣿⣿⠟⠠⠀⠀⠀⠀⠈⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢿⣿⣧⠀⠀⣀⡀⠀⠀⣀⡀⠀⠠⠄⢸⣿⣿⣧⢹⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣯⣿⠀⡀⠀⠀⠀⣀⡀⠀⣠⣿⣿⣿⡏⡈⠉⠛⠋⠛⢻⣿⣿⣿⣿⡇⢀⡘⠿⠍⠀⢀⣤⡀⠀⢀⣿⣿⣿⣿⣿⢿⢻⡿⣿⣿⡿⠿
⠤⢸⣿⣿⣮⣿⣿⣶⣶⣾⣽⣿⣾⣤⣴⣞⣿⣿⣿⣾⣿⣿⡀⠀⠼⠿⠿⠧⣚⣛⡓⠋⠀⣿⣦⣴⣶⠟⠻⠾⠟⠛⠉⠉⠁⠀⠀⠀⠀⠒⠚⠛⣿⣿⣿⡇⠀⠀⠀⠀⠀⣼⣿⡏⢩⣥⣴⣶⡼⢿⡉⠀⠀⠀⠄⣶⣲⡏
⣿⣅⣿⣿⣿⣿⠿⠿⠿⠷⠿⠛⠛⠛⠋⢩⣿⣷⣶⣦⣿⣿⡇⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⢹⣿⣿⣿⣷⣾⡇⠀⠀⠀⠠⣴⣤⣄⡀⠰⡶⠖⠶⣛⣿⣿⣧⣦⡀⠀⠀⠀⠿⣿⠧⢸⣿⣿⣿⡇⡀⣿⣯⡧⣘⣻⣿⣿⣿
⣉⡁⢹⣿⣷⠀⣀⣀⢰⣶⣶⣦⣴⣶⣷⣿⣿⢿⣿⣿⣿⣿⡇⢿⣿⣿⣿⠋⠀⣶⣶⣶⣶⣶⣿⣿⠉⠁⠀⠀⠀⠀⠀⠀⠈⠙⠿⡇⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣄⣠⡄⢤⠿⣿⠀⣿⣿⡿⠯⠿⣿⣿⣿⣿⣿⣋⠉⠸
⣿⣿⠘⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⢻⣿⣿⢸⣿⣿⠃⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠁⢢⣽⣏⣿⣿⣿⣟⣭⣴⣿⣿⣿⣷⣾⣶⣿⣧⣅⣀⣴⣿⣾⠿⢿⣯⣿⣥⣤⡤⠤
⣿⣿⣇⣿⣿⣿⡿⠿⠿⣿⣛⣛⣟⠉⣉⣁⣀⠥⠤⠔⣸⣿⣿⢸⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇⠀⢈⠀⠀⢀⣷⣤⡄⠀⠀⠀⢸⣿⣿⣿⣿⣿⣇⣻⠟⣋⢰⣿⣿⣿⣿⣿⡇⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠛⠉⠉⢹⣿⣿⣬⣉⣡⠤⠄⠚⣿⢉⣉⣡⠄⠀⠈⠉⠋⣿⢿⣶⣿⣿⠀⠀⠀⠛⠛⠛⠛⠛⠛⠋⣿⠐⠀⠀⢀⣼⣿⣿⣃⣄⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⡇⢲⡾⠛⣟⣿⣿⣿⣁⣤⣬⣉⡉⣿⣿⣿⣿⣿⣿⣿⠿⠟
⣤⣶⣶⣼⣿⣿⣿⣿⡿⠿⠯⣍⢿⣤⣿⣛⣾⣄⠀⠀⠀⠀⠘⠉⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⢠⣿⣿⣿⣿⣿⣿⠏⠀⠈⣹⣿⣿⣿⣿⣿⣿⣶⣤⢲⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠉⠀⠀⠀
⣿⣿⣿⡟⠉⡩⡅⢀⣠⣤⢈⣻⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢏⣤⣴⣿⣿⣿⣿⣿⣿⣿⡷⢎⣴⡿⠿⢿⡿⠯⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀
⣿⣿⣿⣧⡶⠂⠉⠛⠊⠉⠈⢿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⣿⣿⣿⣷⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠋⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀
⣿⣏⢹⡇⠀⣀⣀⣠⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠈⠉⢍⣉⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠉⠀⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣶⠤⠀⠀⠀⠀⠈⠙⣿⣿⣿⣿⣿⣿⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠙⢿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠈⢻⣿⡏⠭⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠟⠃⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠟⠟⠁⠀⠀⠀⠀⠀⠸⣿⠐⠐⢀⠆⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣤⡆⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢔⡐⠄⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠘⠑⠁⠠⠂⢅⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⠉⠉⠉⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠌⠡⡐⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡿⠛⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠱⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
[22A⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠛⡇⣿⢰⣿⣿⣿⡎⢻⡆⢼⡇⢸⣿⡏⢻⠁⠸⣿⣿⣿⣿⡇⠃⠻⡏⠁⣿⣿⣿⣿⠛⢻⣿⣿⡇⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀
⢸⣿⣿⣶⣦⣶⣄⣰⣶⡷⠿⠤⠍⠀⣦⣾⣿⣷⣶⣿⠀⢃⣿⡌⢽⣿⣿⣿⣿⣇⡟⣇⢸⣿⡇⠛⠃⠀⠛⢿⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⣀⣸⣿⣿⡇⢸⣿⣿⣿⠈⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣀
⣈⣿⣿⣿⣿⣿⣿⣿⠿⠧⠤⠬⠶⠼⠟⠛⠛⠛⠋⢻⣷⣸⠘⠉⣭⣿⣛⣿⣿⣿⣗⣿⢸⡏⠀⠀⠀⠀⠀⠀⠹⣿⣧⣤⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⢹⣿⣿⠿⠀⠀⠀⠀⠀⠈⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢻⣿⣷⠀⠀⠀⣀⠀⠀⣀⡀⠀⠂⠀⠸⣿⣿⣧⢸⣿⣿⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⠘⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡟⠈⠉⠻⠏⠙⢻⣿⣿⣿⣿⡇⢀⣈⡿⠋⠀⠀⣀⡀⠀⠀⣸⣿⣿⣿⣿⣿⢿⣿⢿⣿⣿⠿
⠠⠸⣿⣿⣦⣿⣿⣶⣶⡾⣽⣿⣿⣤⣴⡆⣿⣿⣿⣾⣿⣿⡆⠀⠨⠿⠿⠯⣔⣛⣛⠟⠀⢰⣦⣀⣴⡾⠿⠿⠿⠛⠉⠉⠁⠀⠀⠀⠀⠀⠚⠛⢻⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣟⢨⣭⣭⣶⣼⢿⡏⠀⠀⠀⠈⣶⣖⡿
⣿⣅⣿⣿⣿⣾⠿⠿⠿⠷⠿⠛⠛⠛⠛⢉⣿⣷⣶⣦⣿⣿⡇⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠸⣿⣿⣿⣷⣶⣶⠀⠀⠀⢠⣴⣦⣀⡀⠠⣶⠶⠶⣞⣻⣿⣧⣤⠀⠀⠀⠀⣿⣿⠛⠸⣿⣿⣿⡇⠀⣼⣧⣦⠐⢳⣿⣿⣿
⣉⡁⢸⣿⣿⠀⢀⣀⠀⣶⣶⣶⣴⣾⣷⣾⣿⣿⣿⣿⢿⣿⣇⢻⣿⣿⣿⡿⠁⣶⣶⣶⣶⣶⣿⣿⠙⠋⠁⠈⠀⠀⠀⠀⠈⠛⢷⡿⠀⢴⣿⣿⣿⣿⣿⣿⣿⣿⣄⣀⡄⢀⠽⢶⠇⣿⣾⣿⡷⡿⣿⣿⣿⣿⣿⣛⠛⠸
⣿⣿⡈⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⢼⣿⣿⢸⣿⣿⡏⠀⠀⣿⣿⣿⣿⣿⣿⣿⡄⠰⣇⠀⠀⠀⠀⠀⠀⠀⠀⠁⢤⣼⣏⣿⣿⣿⣟⣫⣥⣿⣿⣿⣷⣾⣶⣼⡧⡍⣀⣤⣶⣶⣿⣿⣯⣃⣩⣤⣄⣤
⣿⣿⣇⣿⣿⣿⡿⠿⠿⣿⣛⣛⣿⠉⣉⣁⣀⡡⠤⠄⡺⣿⣿⡘⣿⣿⠇⠀⠀⣿⣿⣿⣿⣿⣿⡿⣇⠀⠈⠀⠀⠀⣥⣤⡀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣇⣳⠟⣋⢸⣿⣿⣿⣿⣿⡇⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶
⠛⠉⠉⢸⣿⣿⣭⣉⣡⠤⠤⠒⣿⠉⣉⣡⢄⠀⠀⠉⠁⣿⢿⣧⣿⣿⠀⠀⠀⠛⠛⠛⠛⠛⠛⠃⢹⡆⠂⠁⠂⣰⣿⣿⣇⣀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡗⠰⡾⠻⣿⣿⣿⣿⠁⣀⣭⣉⡉⣿⣿⣿⣿⣿⣿⣿⡿⠿
⣤⣶⣶⣶⣿⣿⣿⣿⡿⠿⠯⣭⢿⡦⣿⣛⣺⣄⠀⠀⠀⠀⠘⠉⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡃⠀⠀⣾⣿⣿⣿⣿⣷⠮⠀⠈⣻⣿⣿⣿⣿⣿⣿⣷⣄⢷⣴⣾⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⡿⠛⠉⠁⠀⠀
⣿⣿⣿⣟⠉⢩⢅⣀⣠⣤⢈⣻⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢜⣥⣴⣿⣿⣿⣿⣿⣿⣿⡷⢔⣴⡿⠿⣿⣿⢽⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀
⣿⣿⣿⡿⠖⠮⠘⠛⠛⠉⠉⠿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣿⣿⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⠛⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀
⣿⣿⣸⡇⠀⣀⣀⣤⣤⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢉⣉⠉⠉⠁⠀⠀⠈⠉⢋⣉⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠁⠀⠀⠀⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣷⠦⠀⠀⠀⠀⠀⠈⠙⣿⣿⣿⣿⣿⣿⠿⠻⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠹⣿⣿⣿⣿⣶⡄⠀⠀⠀⠀⠀⠈⢻⣿⠋⠋⠀⠌⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠋⠛⠁⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⣐⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣤⡄⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⡀⠈⠀⠄⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠂⠈⠄⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⠉⠉⠉⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀
⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠰⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
[22A⢻⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠛⠇⣿⣰⣿⣿⣿⣿⣿⡇⡖⡇⢸⣿⡟⣻⠇⠀⣿⣿⣿⣿⡇⠀⠸⠟⠁⣿⣿⣿⣿⠛⢻⣿⣿⡇⢠⣿⣿⣿⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀
⠸⣿⣿⣶⣦⣴⣄⣐⣶⡿⠿⠦⠼⠀⣤⣦⣿⣷⣶⣿⡄⢸⢹⡏⣩⣿⣿⣿⣿⣿⣏⣿⢸⣿⣏⠛⠃⠀⠛⢿⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⡀⣸⣿⣿⡇⢸⣿⣿⣿⠒⠆⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⠀
⣄⣿⣿⣿⣿⣿⣿⣿⣿⠧⠤⠬⠶⠼⠿⠛⠛⠛⠛⢹⣷⣼⠘⠃⣿⣿⣟⣻⣿⣿⣿⣿⠘⡿⠁⠀⠀⠀⠀⠀⠹⣿⣿⣤⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⢩⣿⣿⡿⠀⠀⠀⠀⠀⠈⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢸⣿⣿⡀⠀⢀⢀⠀⠀⢀⡀⠀⠀⡄⠠⣿⣿⣿⢸⣿⣿⡀⠀⢻⣿⣿⣿⣿⣿⣿⣿⠀⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡿⠉⠉⠻⠿⠙⢻⣿⣿⣿⣿⡇⠀⢈⣻⡋⠀⠀⣀⡀⠀⠀⢰⣾⣿⣿⣿⣿⠿⣿⢿⣿⣿⡿
⣠⠈⣿⣿⣧⢿⣿⣧⣦⡾⣭⣿⣿⣤⣤⡆⣿⣿⣿⣾⣿⣿⡇⠀⢠⠭⠿⠿⢧⣘⣛⡻⠂⢠⣷⡄⣠⣴⡷⢶⢶⠿⠉⠋⢁⠁⠀⠀⠀⠀⠘⠛⢻⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⢈⣭⣭⣥⣼⣿⡏⠀⠀⠀⠨⢱⣤⣴
⣿⣅⣿⣿⣿⣾⠿⠿⠿⠷⠿⠟⠛⠛⡛⢋⣽⣿⣶⣦⣿⣿⡇⣿⣷⣿⣿⣿⣿⡟⠉⠀⠀⠈⣿⣿⣿⣷⢤⣴⡄⠀⠀⠠⣤⣄⣀⡀⠠⣶⡴⠶⢞⣻⣿⣧⣤⠀⠀⠀⠀⣺⣿⠛⠘⣿⣿⣿⡏⠈⣸⣶⣆⠀⢧⣿⣿⣿
⣉⣉⠸⣿⣿⡄⠀⣀⠀⣶⣶⣶⣤⣶⣷⣾⣿⣿⣿⣿⢿⣿⣿⢸⣿⣿⣿⡿⠋⣶⣶⣶⣶⣶⣷⣿⠙⠛⠋⠉⠁⠀⠀⠀⠈⠓⢾⣿⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⡄⣀⡄⣀⠹⢴⡇⣿⣾⣿⡿⡿⣿⣿⣿⣿⣿⡛⠛⠹
⣿⣿⡄⣿⣿⣯⣿⣿⣿⣺⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⢸⣿⣿⡟⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇⢠⣦⠀⠀⠀⠀⠀⠀⠀⠀⠉⢀⣸⣏⣿⣿⣿⡿⣋⣭⣾⣿⣿⣷⣾⣶⣮⣧⡉⣉⣤⣴⣶⣿⣿⣟⣯⣋⣭⣀⣄
⣿⣿⣇⣹⣿⣿⡿⠿⠿⢿⣛⣛⣿⠉⢉⣉⣀⡉⠥⠤⡜⣿⣿⡌⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⡿⣇⠄⠈⠀⠀⠀⢠⣄⣀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣇⣿⠾⢛⢸⣿⣿⣿⣿⣿⡇⢿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣷⣶
⠛⠉⠉⠹⣿⣿⣬⣍⣡⠤⠤⠒⣻⡉⣉⣉⠔⠀⠐⠈⠁⣿⢿⣧⣿⣿⠁⠀⠀⠛⠛⠛⠛⠛⠛⠃⢸⡆⠄⠁⠀⣠⣿⣿⡿⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⡷⠨⣾⠿⡿⣿⣿⣿⠃⢈⣍⣙⠋⣿⣿⣿⣿⣿⣿⣿⣿⠿
⣤⣶⣶⣦⣿⣿⣿⣿⣿⠿⠾⣍⢽⡇⣿⣛⣺⣆⠀⠀⠀⠈⠘⠉⠛⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⣸⣿⣿⣿⣿⣿⣵⠀⢈⣿⣿⣿⣿⣿⣿⣿⣧⣌⠭⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠉⠀⠀
⣿⣿⣿⣟⠉⢩⠅⣀⣀⣤⡈⣻⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣁⣤⣾⣿⣿⣿⣿⣿⣿⣷⣤⣿⣿⠿⣿⣿⡿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⡇⠀⠀⠀⠀⠀
⣿⣿⢿⣿⠶⠄⠘⠘⠛⠋⠁⠿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⢻⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀
⣿⣿⣸⡇⠀⣀⣀⣠⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣛⣛⠛⠛⠛⠉⠉⠉⠉⠛⢛⣙⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠁⠀⠀⠀⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣶⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⡿⠟⠫⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠹⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⠛⠉⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠿⠛⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠈⠂⠌⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣀⡄⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠅⠀⠈⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢻⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠄⡁⡠⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⣀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠰⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
[22A⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⢧⢿⣤⣿⣿⣿⣿⣿⣷⣇⣧⢸⣿⣿⣿⣟⠀⣿⣿⣿⣿⡇⠈⠹⡿⠻⣿⣿⣿⣷⠖⢻⣿⣿⣿⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀
⠈⣿⣿⣷⣦⣤⡄⠀⣶⣶⠾⠧⠨⠀⣤⣦⣶⣶⣶⣿⡇⢸⢸⡏⣭⣿⣿⣻⣿⣿⣿⣿⢸⣿⣿⡻⠓⠀⠿⢿⣿⣿⣿⠀⠀⠁⠀⣿⣿⣿⣿⠀⢀⣿⣿⣿⠀⣿⣿⣿⡇⠂⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⠀
⣄⢿⣿⣿⣿⣿⣿⣿⣿⣧⣠⠬⠶⠤⠿⠿⠟⠛⠛⢺⣷⣾⠘⠃⢿⣿⣿⣿⣿⣿⣻⣿⠀⣿⠏⠀⠀⠀⠀⠀⠙⢿⣿⣤⣤⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠛⣿⣿⣿⠅⠀⠀⠀⠀⠈⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⢸⣿⣿⡄⠀⠀⠀⠀⠀⢀⠀⠀⠀⠂⠀⣿⣿⣿⣸⣿⣿⡆⠀⠘⣻⣿⣿⣿⣿⢹⣻⡀⡟⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⠋⠛⠻⠿⠻⠿⣿⣿⣿⣿⣿⠀⠀⣿⣟⠀⠀⣀⡀⠀⠀⢰⣾⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿
⠐⡀⣿⣿⣧⣾⣿⣷⣦⣤⣯⣿⣷⣥⣥⡤⣿⣿⣿⣧⣿⣿⡇⠀⢨⣬⠭⠿⠿⢯⣒⡻⠃⠀⣴⣄⢀⣤⣶⣶⣶⡾⠛⠛⠋⡉⠀⠀⠀⠀⠐⠛⢻⣿⣿⡗⠀⠀⠀⠀⠀⢰⣿⣿⠒⣊⣩⣭⣝⣿⡟⠀⠀⠁⠈⢩⡭⣴
⣷⣧⣹⣿⣿⣿⣿⣿⠿⠿⠿⠿⠟⠛⠛⠛⣿⣿⣷⣦⣿⣿⣧⢹⣿⣶⣿⣿⣿⡿⠋⠀⠀⠀⣿⣿⣿⣿⣦⣤⡄⠀⠀⠠⣤⣀⠀⠀⠀⣤⡤⠤⠚⣿⣿⣧⣤⠀⠀⠀⠀⢸⣿⠿⡀⣿⣿⣿⣟⠈⢹⣶⣢⡀⢶⣾⣿⣿
⣉⣉⠙⣿⣿⡆⠀⠀⠀⣦⣶⣶⣄⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⡿⠋⣶⣶⣶⣶⣶⣿⣿⠛⠻⠛⠉⠃⠀⠀⠀⠈⠳⢿⣿⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⡄⢀⡀⢀⡹⢰⡇⣿⣿⣿⣿⣿⣾⣯⣿⣿⣿⡟⠛⠹
⣿⣿⡆⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣭⣿⣿⣿⣿⣿⠘⣿⣿⡿⠀⠀⣿⣿⣿⣿⣿⣿⣿⡆⠀⣦⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⣸⣿⣿⣿⣿⡿⣛⣩⣿⣿⣿⣷⣤⣦⣮⣧⡉⢉⣁⣰⣴⣿⣿⣟⣯⣏⣁⣀⣀
⣿⣿⣧⢸⣿⣿⣿⡿⠿⠿⣿⣛⣻⠛⠉⣉⣉⣉⠩⠤⠆⣿⣿⡇⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⡏⢇⠀⠈⠆⠀⠀⠀⣄⣀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣇⣻⠾⢟⢹⣿⣿⣿⣿⣿⡏⢹⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣶
⠛⠋⠉⠙⣿⣿⣦⣉⣉⠡⠤⠴⢻⡏⣉⣉⡹⠀⠐⠂⠁⣿⢿⣧⣿⡟⠀⠀⠀⠛⠛⠛⠛⠛⠛⠃⢸⡆⠄⠂⠄⢀⣼⣿⣿⠇⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣷⠩⣼⠿⡿⣿⣿⣿⠇⢈⣉⠛⠋⣿⣿⣿⣿⣿⣿⣿⣿⡿
⣤⣴⣶⣦⣿⣿⣿⣿⣿⡿⠶⣭⣹⡇⠿⣟⣚⣆⠀⠀⠀⠈⠘⠙⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⢰⣿⣿⣿⣿⣿⣧⡆⠀⠻⢿⣿⠟⠻⣿⣿⣿⣄⡭⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠉⠁⠀
⣿⣿⣿⣿⠋⠉⡍⢁⣀⢠⡄⣺⣾⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢋⣀⣴⣿⣿⣿⣿⣿⣿⣷⣄⠄⢀⣀⣤⣴⢾⣿⣿⣿⣿⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀
⣿⣿⣿⣿⡶⠀⠙⠛⠛⠋⠁⢿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣶⣴⣶⣶⣿⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⢿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀
⣿⣿⣉⣏⠀⠀⣀⣀⣤⣤⣶⣶⣾⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣦⣜⠛⠛⠛⠛⠛⠋⠉⠉⠛⢻⡙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠉⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⡿⠿⠛⠍⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⡿⠿⠯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⡟⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⠛⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣁⡄⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢐⠀⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⢉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠿⠃⠀⠀⠀⠀⠀⠀
⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠰⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
[22A⢸⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢧⢸⣇⣾⣿⢿⡿⢿⣿⣇⣿⢸⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⠈⠹⣿⠛⢸⣿⣿⣷⡖⠲⣿⣿⣿⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀
⠀⣿⣿⣷⣦⣤⣄⠀⢤⣶⡖⡧⢨⠀⢤⣠⣶⣶⣶⣾⡇⢸⢸⡇⣿⣿⣿⣗⣶⣿⢻⣿⠈⣿⣿⠺⠟⠀⠻⢿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⣿⣿⣿⠀⣿⣿⣿⡇⠾⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀
⣆⢹⣿⣿⣿⣿⣿⣿⣯⣭⣀⣠⡴⠦⠿⠿⠿⠟⠛⢻⣷⣟⡜⠛⠛⣿⣿⣿⣿⣿⢸⢿⠀⣿⡟⠀⠀⠀⠀⠀⠈⢿⣿⣤⣤⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠛⣿⣿⣿⠆⠀⠀⠀⠀⠀⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠉⠘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣾⣿⣿⡘⣿⣽⡇⠀⢰⣟⣿⣿⣿⣿⣸⢹⡇⣿⠁⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⠋⠛⠻⠿⠻⠿⣿⣿⣿⣿⣿⠀⠀⣻⣟⠁⠀⢀⡀⠀⠀⢰⣶⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿
⢄⡀⣿⣿⣧⣺⣿⣷⣤⣤⣟⣿⣶⣦⣤⣤⣿⣿⣿⣧⣿⣿⡇⠀⢘⣿⣯⠭⠿⠿⢷⡺⠃⠀⢸⣤⠀⣤⣴⣶⣴⣲⠟⠛⠛⠈⢀⠀⠀⠠⠤⠿⢻⣿⣿⣿⠀⠀⠀⠀⠀⢠⣿⣿⠒⣒⣩⣭⣝⣿⡟⠂⠀⠃⢈⢩⡭⣴
⣯⣖⢸⣿⣿⣿⣿⣿⣿⠿⠼⠿⠿⠿⠛⠛⣿⣯⣿⣦⣻⣿⣿⢸⣷⣶⣾⣿⣿⡿⠋⠀⠀⠀⢾⣿⣿⣿⣦⢤⣬⠀⠀⠀⣀⣄⠀⠀⠀⣤⣤⠤⠺⣿⣿⣿⣤⠀⠀⠀⠀⢸⣿⡿⡀⣿⣿⣿⣿⠈⢹⣶⣢⡀⢶⣾⣿⣿
⢉⣉⠉⣿⣿⡆⠀⠀⠀⣰⣦⣶⣆⣶⣶⣶⣿⣻⣿⣿⣿⣿⣿⢸⣿⣿⣿⡟⠋⣶⣶⣶⣶⣶⣾⣿⠛⢛⠛⠉⠛⠀⠀⠀⠈⠛⢿⣿⠀⢠⣶⣾⣿⣿⣿⣿⣿⣿⡄⢀⡀⠀⣹⢶⡇⢿⣿⣿⣿⣻⣾⣿⣿⣶⣿⡿⠛⠛
⣿⣿⡇⢻⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡆⣿⣿⡟⠁⠀⣿⣿⣿⣿⣿⣿⡿⣇⠀⣴⡀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢸⣿⣻⣿⣿⣿⣟⣩⣽⣿⣿⣿⣤⣧⣮⣧⡈⢉⣁⣰⣴⣿⣿⣿⣫⣏⣉⣁⣀
⣿⣿⣿⢸⣿⣿⣿⣿⡿⠿⢿⣟⣻⠛⠋⢉⣉⣉⣉⠡⠆⣿⣿⡇⣿⣿⠇⠀⠀⣿⣿⣿⣿⣿⣿⡇⠸⠠⠈⠃⠀⠀⠀⢀⣀⡀⠀⠀⠀⢸⣿⣿⣿⣿⣿⢻⡾⠟⢋⣿⣿⣿⣿⣿⡏⢹⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣶
⠛⠛⠋⠉⣿⣿⣗⣀⣉⡉⠥⠤⢿⡟⢋⣉⣩⠀⠐⠒⠪⢿⣿⣧⣿⠏⠀⠀⠀⠛⠛⠛⠛⠛⠛⠃⠀⡇⠀⠐⠠⠀⣰⣿⣿⡇⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⡭⣼⡿⡿⢿⣿⣿⠇⢈⣉⡛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣤⣤⣴⣦⣿⣿⣿⣾⣿⣷⡶⣾⣩⣧⠿⢿⣗⣇⠀⠀⠀⠀⠙⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠀⠀⢀⣾⣿⣿⣿⣿⣯⡆⠀⠙⠿⣿⡿⠿⢿⣿⣿⣇⡭⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠁⠀
⣿⣿⣿⣿⠛⢋⣉⢉⣀⣠⡄⡹⣶⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣿⡆⠀⠀⠀⠀⠀⠀⢟⢡⣤⣾⣿⣿⣿⣿⣿⣿⣄⡀⠀⠀⣀⣠⣴⣾⣿⣿⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣴⣞⠺⠊⠛⠛⠃⠻⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⢻⣿⡿⠋⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⢻⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀
⣿⣿⡃⣿⠀⠀⣀⣀⣤⣤⣴⣶⣶⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠛⠛⠛⠛⠉⠉⠛⠻⠙⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠉⠁⠀⠄⣸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⠟⡋⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠸⠃⢁⠄⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣇⣠⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⢑⠐⠀⢄⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⡄⠂⠡⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠋⡉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠈⠁⢀⠐⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀
⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
[22A⠸⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⢿⢸⣇⣾⣿⢿⡿⢿⣿⣯⣿⠸⣿⣿⢿⣿⠀⣿⣿⣿⣿⣿⠈⠻⢿⠛⢸⣿⣿⣷⡶⠲⣿⣿⣿⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀
⠀⣿⣿⣷⣦⣤⣤⠀⢤⡴⣖⣇⣀⠃⢤⣠⣶⣶⣶⣼⡇⢸⢸⣧⣿⣿⣿⣗⣶⣿⢸⣿⠀⣿⣿⠲⠟⠀⠙⠻⢿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⣿⣿⣿⠀⣿⣿⣿⡇⠒⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⣀
⣆⢸⣿⣿⣿⣿⣿⣿⣿⣭⣀⣀⣢⡦⠿⠿⠿⠿⠛⠻⣷⣆⡏⠛⠛⣻⣿⣿⣿⣿⢸⢻⡆⣿⣿⠆⠀⠀⠀⠀⠀⠘⢿⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⠀⠛⣿⣿⡿⠆⠀⠀⠀⠀⠀⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠉⠉⣿⣿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⢄⠀⣾⣶⣶⡄⣿⣽⡇⠀⢰⣾⣿⣿⣿⣿⣝⢹⡇⣿⣿⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠋⠛⠻⠿⠻⠿⣿⣿⣿⣿⣿⠀⠀⣻⣟⡃⠀⢀⡀⠀⠀⢰⣶⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿
⠄⡂⢻⣿⣯⣵⣿⣿⣥⣤⣞⣻⣶⣮⣥⣤⢸⣿⣿⣧⣿⣿⣇⠀⠘⣿⣿⡭⠽⠿⠷⡼⠃⠀⠀⣿⣆⣠⣴⠿⢷⣶⠟⠛⠛⠈⠀⠀⠀⠄⠤⠿⢿⣿⣿⣿⠀⠀⠀⠀⠀⢀⣿⣿⠒⣂⣩⣭⣍⣿⡟⠐⠀⠃⠈⢩⡭⣴
⣧⣶⣸⣿⣿⣷⣿⣿⣿⣿⠾⠿⠿⠿⠛⠛⣻⣯⣽⣷⣸⣿⣿⢸⣷⣶⣶⣿⣿⠿⠋⠀⠀⠀⠀⣿⣿⣿⣿⣤⣴⡆⠀⠀⠠⣄⠀⠀⠀⣤⣤⢤⠸⢿⣿⣿⣤⠀⠀⠀⠀⢸⣿⡿⡀⣿⣿⣿⣿⠀⢹⣶⣲⡀⠶⣾⣿⣿
⠛⢉⡉⣿⣿⡇⠀⠀⠀⢀⣤⣴⣆⣴⣶⣶⣿⣿⣿⣿⡿⣿⣿⣸⣿⣿⣿⡿⠁⣶⣶⣶⣶⣶⣶⡾⣞⠉⠟⠁⠉⠁⠀⠀⠀⠈⠻⢿⠀⢠⣶⣿⣿⣿⣿⣿⣿⣿⡆⠀⣀⢀⣸⢷⡆⢻⣿⣿⣿⣺⣿⣿⣿⣾⣿⡟⡛⠋
⣿⣿⣇⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⡇⢹⡅⠰⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣻⣿⣿⣿⣟⣩⣽⣿⣿⣿⣤⣧⣮⣥⡈⢉⣁⣴⣶⣾⣿⣿⣹⣏⣉⣅⣀
⣿⣿⣿⠘⣿⣿⣿⣿⡿⠿⠿⢿⣛⡛⠛⠉⣉⣉⣉⡩⠽⣿⣿⣿⣿⣿⠟⠀⠀⣿⣿⣿⣿⣿⣿⡇⠈⡇⠐⠈⠆⠀⠀⠀⣀⣀⠀⠀⠀⠀⠹⣿⡿⠿⡟⠹⠾⠟⠛⠿⢿⣿⠿⠻⠏⢸⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⣶
⠟⠛⠛⠉⣿⣿⣗⣂⣈⣉⠧⠤⢼⡗⢛⣉⣉⠀⠀⠒⠺⢹⡿⣿⣿⣿⠀⠀⠀⠛⠛⠛⠛⠛⠛⠃⠀⢛⠀⠈⠀⠀⢀⣾⣿⣿⠀⠀⠀⢸⣿⠁⣿⣿⢻⣷⣸⡇⣿⡇⣿⣧⣿⣻⣷⠀⣉⡛⠋⢻⣿⣿⣿⣿⣿⣿⣿⡿
⣤⣤⣴⣦⣼⣿⣿⣾⣿⣿⣶⢾⣉⣷⠼⢿⣗⣣⠀⠀⠀⠀⢃⣠⣶⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⣴⣿⣿⣿⣿⣿⣵⠀⢸⣿⠀⣿⣿⢸⣿⣿⡇⣿⡇⣿⣇⣻⣿⣦⠺⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠁⠀
⣿⣿⣿⣿⠛⠋⣉⠉⣀⣠⣄⢺⣶⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⣤⣤⣾⣿⣿⣿⣿⣿⣿⣧⡀⠸⠿⠶⠿⠿⠾⠏⠿⠇⠻⣷⡿⠋⠿⣿⠿⢰⣿⣿⣿⣟⣿⣿⣿⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣵⣖⠟⠿⠟⠛⠋⢹⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣛⣛⡛⢉⣐⡲⢶⣟⣓⠚⣙⡛⣓⣛⢓⣒⡾⢿⣓⠖⣚⣛⡛⠛⢛⣙⡛⢿⡟⠀⠀⠀⠀⠀
⣿⣿⡇⣿⠀⠀⢀⣀⣠⣤⣴⣶⣶⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠁⠘⣿⣿⢣⣿⣿⣿⣼⣿⣻⣿⢿⣿⣿⡟⣿⣿⣇⢸⣿⠀⣿⡟⣿⡇⣿⣿⠿⠀⡇⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢸⣿⣿⣿⣿⣿⢻⣷⢸⣿⣿⣇⣿⣿⣿⢸⣿⠀⣿⡇⣿⡇⣽⣻⣷⠀⠇⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠀⠻⠿⠟⠸⠿⠸⠿⠈⠿⠿⠻⠿⠹⠿⠾⠿⠿⠿⠿⠿⠃⠻⠿⠟⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⠆⠠⡠⡀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⣾⣷⣶⣆⣠⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠬⠐⠠⠈⠠⠀⡁⠁⠁⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⡄⠂⠆⠤⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⢉⡉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠂⠀⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⡀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠸⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
[22A⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠯⠤⠤⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⡄⠀⢸⡙⠀⢻⡇⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⠤⠼⣿⣿⣿⣿⣿⡿⠟⠒⣺⠒⠐⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠻⠿⡇⠀⠀⡇⠀⢸⠀⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠒⣶⣾⡟⢻⣿⣿⣿⠋⠉⣉⣉⡉⠉⢭⠭⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠇⠀⠸⠄⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣯⣿⣿⣏⣹⠟⠉⠁⠀⠀⠠⠤⠤⠖⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠭⠭⠤⠤⠐⠒⠒⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣭⣿⣿⣷⣶⣄⠀⠀⠀⠀⠀⠀⠾⣿⣭⣭⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣦⠄⠐⢠⣤⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⡄⠀⠀⢸⣿⡿⠋⠁⠉⠛⠿⠿⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢻⣿⣿⣶⡆⠸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡆⠀⠀⢸⣿⣧⣤⣤⣤⣤⣼⣿⣶⣎⣻
⣩⣭⠛⠛⠿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⣦⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⡿⠛⠿⠟⠋⠛⠛⠉⠉⠉⠀
⠿⠿⠂⠀⠀⢻⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⢀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣶⠶⠀⢸⣿⣿⣿⣿⣿⣿⣷⣤⣤⣤⡄⣴⣿⢷⠀⠀⠸⡇⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⠿⠿⠿⠿⠃⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀
⣄⣀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣧⡀⠀⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣶⣶⣷⣦⣤⣤⡀⢸⣿⠀⣿⣿⢸⣷⢸⡇⣿⡇⣿⡇⣿⣻⣷⠀⠀⠀⢰⣶⠀⠀⠀⠀⠀⠀⠀⢸
⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣄⠀⠈⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⣀⣠⣿⣿⣿⣿⣿⣿⣿⣿⡋⠀⢸⣿⠀⣿⣿⢸⣿⣿⡇⣿⡇⣿⡇⣻⣿⣦⠀⠀⠀⢸⡿⠀⠀⠀⠀⠀⠀⠀⢰
⣿⣿⣿⣿⣿⡿⠿⠿⢿⣟⢛⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣛⢀⢀⡀⡀⣰⣾⠀⣀⣠⣤⣤⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣁⡀⠸⠿⠶⠿⠿⠸⠇⠿⠇⠻⣷⡿⠋⠿⣿⠿⠀⠀⢀⣿⣇⡀⠀⠀⠀⠀⠀⠀⢸
⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠶⣴⣾⣿⣿⣿⣿⣿⣿⠿⠀⠀⢀⣀⣠⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣛⣛⡛⢃⣀⡀⢀⣀⣀⠀⣀⡀⢀⣀⢀⣀⡚⢛⣒⠶⣚⣛⡛⠛⢛⣛⡙⢿⣀⣤⣤⣤⣤⣀
⠀⠈⠙⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⡿⠋⠁⠀⠔⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⣿⣿⠃⣿⣿⣿⢸⣿⣻⣷⢿⣷⣿⡏⣿⣿⣇⢸⣿⠀⣿⡟⣿⡇⣿⣿⠿⠀⣾⣿⣿⣿⣿⣿
⠀⠀⠀⢀⣀⣀⣀⣤⣤⣤⣤⣶⣶⣾⣧⣿⣟⠀⠀⠀⠀⠁⢀⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠀⢀⠀⣿⣿⠀⣿⣿⣿⢸⣿⢻⣷⢸⣿⣿⣇⣿⣿⣿⢸⣿⠀⣿⡇⣿⡇⣝⣻⣷⢀⣿⣿⣿⣿⣛⣻
⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠸⠀⠈⠿⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣄⠀⠀⠀⠀⠿⠟⠀⠻⠿⠟⠸⠿⠸⠿⠈⠿⠿⠻⠿⠹⠿⠾⠿⠿⠿⠿⠿⣃⡻⠿⠟⣨⡿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠘⢷⣶⣤⣀⣤⣠⠽⢤⠙⡻⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠐⢲⣶⣶⣶⣶⣾⣿⣶⣶⣶⣶⣶⣶⣤⣤⠘⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⡤⠉⠀⢹⣿⣿⣿⣿⣷⣦⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢿⣿⣿⣿⣿⣿⣿⣟⣛⣛⣻⣿⢿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣷⣶⣶⣶⣮⣽⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⡄⠀⠈⠉⠉⠉⠙⠛⠛⠛⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⠿⠟⠛⣭⣬⣭⣽⣿⠛⣻⠿⢿⣿⣿⣿⣿⡿⡿⣭⣷⣿⣿⡿⢛⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠙⠛⠛⠛⠿⠿⠿⣿⣿⣿⣿⠦⠠⠀⢴⣿⣿⣿⣿⣿⣿⣷⣶⣷⣒⠀⠉⣭⣿⣿⣿⣯⣹⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⣿⣿⣿⣿⣿⣛⡻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
[22A⣿⣿⣿⣟⣛⣉⣉⣙⣿⣿⣿⣏⣉⠉⠍⠉⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⣉⣉⣉⣭⡉⠁⢸⠟⠁⣿⢻⣶⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠀⢸⣿⣿⣿⣿⣿⣿⠆⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣯⣭⣭⡤⠿⠥⠤⣿⣿⠿⠤⡶⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⢿⣿⡇⠀⢸⡆⠀⣿⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣼⣿⣷⣿⣷⣶⡖⢺⣿⠚⠚⢛⣟⣛⣉⣉⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠃⠀⠹⠀⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣯⣿⣿⣍⣉⣉⡥⠤⠤⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣋⣉⣉⡩⠭⠥⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣽⣿⣿⣿⣿⣿⣿⣿⣿⣥⣤⣤⣴⣶⣶⣶⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⠀⠄⢀⣀⠀⠀⢰⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⠁⠀⠀⢸⣿⣿⠟⠋⠛⢿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⡯⠀⠀⠀⠀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠩⠄⣾⣸⣿⣤⡄⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣇⣀⣀⣀⣀⣴⣶⣭⡛
⢟⣛⣛⠿⠿⠟⠛⠙⠋⠀⠀⠐⢾⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠏⣽⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⠿⣿⡿⠛⠿⠟⠛⠛⠋
⣿⣿⡯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠋⠁⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⢘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣤⣤⡄⠀⣶⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡏⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⠿⠿⠿⠻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠉⠁⠀⠀⠀⢻⣿⣿⣿⣷⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣶⣦⣤⣴⣤⣄⣀⡀⢸⣿⠀⣿⣿⢸⣷⢸⡇⣿⡇⣿⡇⣿⣻⣷⠀⠀⠀⠀⢠⣤⠀⠀⠀⠀⠀⠀⠀
⣿⣭⣥⣴⣶⣶⣾⣿⣿⣿⣿⣿⣿⣦⣄⣀⣀⣠⣴⣦⡀⠀⠀⡀⠀⡀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⡿⠏⢸⣿⠀⣿⣿⢸⣿⣿⡇⣿⡇⣿⡇⣻⣿⣦⠀⠀⠀⠀⣾⡏⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⠀⠄⠀⠀⠀⣤⡆⠀⠀⣀⣀⣤⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠸⠿⠶⠿⠿⠸⠇⠿⠇⠻⣷⡿⠋⠿⣿⠿⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣷⣴⣷⣷⣿⣿⣧⡬⣴⣾⣿⣿⣿⣿⣿⣿⡏⠁⠁⠉⢀⡜⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣛⣛⡛⢋⣁⡀⢀⣀⣀⠀⣀⡀⢀⣀⢀⣀⡺⢟⣓⠶⣆⣒⡒⠶⢛⣛⡛⠲⡖⠀⣀⣀⣀⡀
⠈⠛⠛⠛⠛⠋⠉⠉⠀⠀⠀⠉⠹⣿⣿⣿⣿⣿⡿⠛⠁⢀⠴⣾⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠘⣿⣿⠃⣿⣿⣿⢸⣿⣻⣷⢿⣷⣿⡏⣿⣿⣇⢸⣿⠀⣿⡟⣿⡇⣿⣿⠿⠀⢯⣽⣿⣿⣿⣿
⠀⠀⠀⠀⠀⣀⣀⣀⣀⣤⣤⣤⣤⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠉⠀⣿⣿⠀⣿⣿⣿⢸⣿⢻⣷⢸⣿⣿⣇⣿⣿⣿⢸⣿⠀⣿⡇⣿⡇⣽⣻⣷⠀⣸⣿⣿⣿⣿⡿
⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠇⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣀⠀⠀⠀⠀⠿⠟⠀⠻⠿⠟⠸⠿⠸⠿⠈⠿⠿⠻⠿⠹⠿⠾⠿⠿⠿⠿⢿⣃⡻⠿⠟⣸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⢷⣦⣤⣀⣀⡀⠭⣯⣉⠻⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠄⣤⣤⣤⣤⣴⣶⣶⣤⣤⣤⣤⣤⣄⣂⣘⢿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣭⣿⣶⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⢀⣠⣤⣤⣶⣿⣿⠿⣿⣿⣿⣾⣷⣾⣧⡍⠋⠙⣿⣿⣿⣿⣷⣄⣀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⠿⠿⠿⢿⣿⣿⣾⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡙⣿⣯⣤⣤⣤⣛⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣤⡉⠉⠉⠉⠙⠛⠛⠛⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⠿⠛⣛⣛⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣛⣿⣷⣾⡿⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠙⠛⠛⠻⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⡀⣼⣿⣿⣿⣿⣷⣾⣭⣬⠭⠭⠛⠛⢿⣷⣿⣿⡿⣿⣿⣧⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⢰⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿
[22A⢾⣿⡷⣶⢖⡚⠛⠛⠛⢿⣿⣿⣟⣉⣉⣉⣉⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠛⣛⣋⡉⠁⢸⡿⠃⣿⠷⣤⣿⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣙⣿⣏⣉⣉⣉⣛⣋⣀⣿⣿⡯⠤⡤⠤⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⣿⣿⡇⠀⢸⡆⠀⣿⠘⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠠⣤⣤⣤⣴⠤⠤⠤⢼⣿⠶⠖⠒⠗⠒⠒⢒⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠃⠀⠀⠄⠀⢼⠀⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠤⣶⣾⣿⣿⠒⠒⠒⣺⣿⣏⣉⣉⣉⣉⣉⣩⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⢛⣛⣉⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣛⣛⣻⣿⣿⣭⣭⣭⣿⣿⣭⣤⣤⣤⣤⣤⣖⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢩⡉⠁⢀⢀⡀⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⡇⠀⠀⢨⣿⣿⠿⠛⠻⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠫⡀⣶⢸⣿⣀⡀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⡋⠀⠀⠀⠀⢩⣭⣝
⠿⠿⠟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣽⣿⣿⣿⣅⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠏⢉⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⡿⠿⣿⡿⠿⠿
⣿⣿⣿⣇⠀⠠⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⡇⠀⠀⠀⠁⠀⠉⠀⠀⠀⠀⠀⠀
⠉⣉⣁⣤⡀⢀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⠿⠿⠿⠿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠉⠉⠉⠉⠁⠸⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠟⠀⠀⠀⠀⠀⠀⣾⠇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣤⣤⣀⣠⣀⡀⠀⢸⣿⠀⣿⣿⢸⣷⢸⡇⣿⡇⣿⡇⣿⣻⣷⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀
⣐⣒⣒⣠⣤⣴⣿⣽⣿⡽⡿⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠂⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⠀⣿⣿⢸⣿⣿⡇⣿⡇⣿⡇⣻⣿⣦⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢀⣠⠆⠀⠀⠀⠀⣀⣤⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⠸⠿⠶⠿⠿⠸⠇⠿⠇⠻⣷⡿⠋⠿⣿⠿⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⡍⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⠏⠀⠀⠃⢀⣸⣿⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣛⡛⢋⣀⡀⢀⣀⣀⠀⣀⡀⢀⣀⢀⣀⡐⢟⣳⠶⣒⣃⡀⠤⢄⣀⡙⢷⣤⡤⠀⠀⠀⠀
⠛⠛⠟⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⡿⠟⠋⢀⣤⣶⣾⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⣿⣿⠃⣿⣿⣿⢸⣿⣻⣷⢿⣷⣿⡏⣿⣿⣇⢸⣿⠀⣿⡟⣿⡇⣿⣿⠿⠀⣞⣗⣲⣿⣿⣿
⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣠⣤⣬⡻⣿⣿⣿⡿⠋⠀⠀⠀⠐⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⣿⣿⠀⣿⣿⣿⢸⣿⢻⣷⢸⣿⣿⣇⣿⣿⣿⢸⣿⠀⣿⡇⣿⡇⣝⣻⣷⠀⢙⢻⣿⣿⣿⣿
⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢰⠉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⠀⠀⠀⠀⠿⠟⠀⠻⠿⠟⠸⠿⠸⠿⠈⠿⠿⠹⠿⠹⠿⠾⠿⠿⠿⠿⠿⣃⡻⠿⠟⣴⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠐⣦⣤⣀⠉⠉⢉⣛⣛⠻⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⣀⣀⣀⣠⣀⣠⣤⣤⣀⣀⣀⣀⣀⠀⠀⠻⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣻⣿⣭⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⢀⣀⣀⣠⣽⣿⣿⣿⣿⣷⣶⣿⣧⣶⣛⠻⠛⢿⣿⣿⣿⣿⣆⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣾⣽⣿⣿⡗⢿⣿⣃⣀⣀⣸⢿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣹⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣭⣭⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⡀⢈⠉⠉⠛⠛⠛⠻⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣯⣽⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠙⠛⠛⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠉⠉⠁⣰⣶⣿⣿⣿⣧⣝⣉⡙⣛⡿⠿⢿⣿⣭⣾⣿⣿⣿⣿⣏
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠛⠛⠛⠋⠀⣀⣰⣿⣿⡿⢿⣿⣿⣿⣿⣿⣶⣤⣄⣠⣶⣿⣿⣿⣶⣿⣿⣿
[22A⠾⢾⣿⣿⣶⡶⠶⠛⠓⠺⢿⣿⣿⡿⠛⠓⠒⠒⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠒⠛⠛⠛⠛⠋⠸⣿⠛⢿⡿⣯⣽⣭⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿
⠒⠚⢿⣟⣛⣛⣉⣻⣏⣉⣽⣿⣿⣉⣩⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⡇⠀⠀⡇⠀⢸⡇⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿
⣉⣉⣉⣩⣭⣽⡥⠤⠤⢴⣿⡥⠤⠶⠾⠶⠖⠒⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠈⠉⠉⠛⠇⠀⠀⡇⠀⢸⡅⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢺⣿⣿⣿⣿⣿⣿⣿
⠤⠤⣤⣴⣿⣿⡗⠒⠒⢺⣿⡗⠒⠚⣋⣉⣉⣉⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠿⠿⠿⠛⠛⠛⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿
⠶⠶⣿⣿⣿⣿⣟⣋⣉⣿⣿⣋⣉⣉⣩⣤⣤⣤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢒⡂⠈⠉⠉⠉⠉⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⣿⣿⣿⠀⠀⠀⢿⣿⣿⠿⠿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡃⣬⣴⣿⡆⡀⢰⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿⣿⣿⣿⠀⠀⠀⢾⡿⠃⠀⠀⠈⢙⣛
⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣽⣿⣿⣿⣇⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢸⣟⡛⣿⡇⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣶⣶⣶⣶⣾⣿
⣶⣶⣶⣿⣇⠀⠠⠩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠉⠉⠙⠉⠈⠉⠁⠀
⠉⠉⠉⣉⣁⡀⠀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠿⠿⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠛⠛⠛⠛⠋⠁⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⣿⡏⠀⠀⠀⢀⣄⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⣄⣀⡀⢀⡀⠀⢸⣿⠀⣿⣿⢸⣷⢸⡇⣿⡇⣿⡇⣿⣻⣷⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢐⣒⣂⣠⣤⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣷⢸⣿⠀⣿⣿⢸⣿⣿⡇⣿⡇⣿⡇⣻⣿⣦⠸⣿⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠀⠀⠀⠀⠀⡀⠐⠀⠀⣀⠄⠁⠀⠀⠀⠀⣀⣀⣠⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⠸⠿⠶⠿⠿⠸⠇⠿⠇⠻⣷⡿⠋⠿⣿⠿⣠⣿⠀⠀⠀⠀⣾⡿⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣛⣛⡋⢉⢩⣭⣿⣷⣞⠛⣛⣿⣿⡿⠀⠀⠀⠀⠘⠀⠀⠂⠀⢸⣿⣠⣴⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣛⡻⢛⣉⡀⢀⣀⣀⠀⣀⡀⢀⣀⢀⣀⡀⢘⣳⠶⣞⣛⡛⠀⢀⣀⡀⢻⣧⣀⣀⠀⠀⠀
⠿⠿⠿⠿⠟⠛⠛⠃⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠀⢀⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡘⣿⣿⠃⣿⣿⣿⢸⣿⣻⣷⢿⣷⣿⡏⣿⣿⣇⢸⣿⠀⣿⡟⣿⡇⣿⣿⠿⠈⣿⡿⣿⢤⣶⣶
⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣰⣛⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠁⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣿⣿⠀⣿⣿⣿⢸⣿⢻⣷⢸⣿⣿⣇⣿⣿⣿⢸⣿⠀⣿⡇⣿⡇⣝⣻⣷⠀⢹⣿⢿⣿⣿⣿
⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⢠⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠉⠀⠿⠟⠀⠻⠿⠟⠸⠿⠸⠿⠈⠿⠿⠻⠿⠹⠿⠾⠿⠿⠿⠿⠿⠃⠻⠿⠟⣠⣾⣷⣾⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⢸⣄⣀⠉⠛⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣷⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⡀⢿⣿⣷⣦⣶⣶⣿⣿⣿⣿⣿⣿⢿⣿⣛⣻⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢀⣀⣻⣿⣿⣶⣷⣾⣭⣿⣦⡭⠿⠿⠿⣿⣿⣿⣿⣷⡀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣆⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣭⣿⣿⣿⠭⣿⡿⠏⠀⠀⢿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢻⣿⣿⣿⣿⣯⣭⣿⣿⣿⣟⣛⣛⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠙⠛⠛⠿⠿⠿⢿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣾⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠛⠛⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⡙⠛⠛⠛⢩⣤⣶⣿⣿⡟⠻⠻⠿⢿⣿⣿⣿⣿⣟⣭⣴⣾⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠛⠻⠿⠿⠿⠿⠗⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣮⣭⣂⡀⢉⣽⣿⣿⣿⣭⣿⣿
[22A⣉⣉⣉⣿⣿⣿⣿⣭⣥⣤⠿⠧⢼⣿⣿⣿⡷⠤⠤⠤⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠛⢿⣤⡤⢿⠿⠿⠿⠟⢻⣿⡟⣿⡿⠗⣿⣻⣿⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠡⠀⠀⣿⣿⣿⣿⣿⣿⣿⠅⠀⠀⢸⣿⣿⣿⣿
⠤⠤⠤⠤⠾⣿⡿⠿⠷⠗⢶⡖⠒⣺⣿⡿⠓⠒⠂⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⣶⣶⣶⡆⠀⢸⡏⠀⣿⠏⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿
⠒⠒⠒⠒⠒⠛⣛⣛⣻⣋⣉⣉⣩⣿⣛⣉⣍⣏⣁⣅⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠿⣿⡇⠀⢈⣷⠀⢻⠈⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿
⣉⣉⣉⣉⣉⣉⣹⣿⣿⡍⠡⠤⣽⣿⠥⠤⠤⠧⠄⠀⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠃⠀⠘⠀⣿⣿⣿⣿⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿
⣩⣭⣥⣤⣴⣿⣾⣿⣿⠶⠶⠶⣾⣿⠗⠒⠒⠒⢚⣋⣉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠤⠄⠀⠒⠒⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿
⣶⢶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣦⠀⣐⢠⣤⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿⠏⠉⠉
⣗⣚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⢿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡆⣿⣿⠿⣶⡆⠘⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣧⣀⣀⣀
⣿⣿⣭⣭⣭⣵⣶⡏⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠉⣰⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠸⠿⠿⠛⠿
⡿⠙⠛⠛⠛⠛⠛⠃⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀
⣷⣤⠤⠴⠶⠶⠿⠟⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠉⠁⢸⣿⠀⣿⣿⢸⣷⢸⡇⣿⡇⣿⣧⣿⣻⣷⢹⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀
⡧⠀⠀⠀⢀⡠⠤⠀⢀⣘⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣷⣶⣶⢸⣿⠀⣿⣿⢸⣿⣿⡇⣿⡇⣿⡇⣻⣿⣦⢹⣿⣿⣿⣿⠀⠀⠀⠀⣠⣤⠀⠀
⣤⣴⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠆⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠈⡀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⡸⠿⠶⠿⠿⠸⠇⠿⠇⠻⣷⡿⠋⠿⣾⠿⣸⣿⣿⣿⣿⠀⠀⠀⠀⣿⡇⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⠿⣟⣿⣿⣏⠁⠀⠀⠀⠀⠀⣀⣠⣾⣿⣿⡄⡐⣀⠀⢀⣶⡏⢀⣀⣠⣤⣤⣶⣶⣶⣿⣿⣿⣛⣛⡿⢟⣛⡻⢗⣀⣀⠀⣀⡀⢀⣀⢀⣀⡀⢀⣀⠀⣘⣛⡻⠿⢛⣛⡀⠀⠀⢠⣿⠃⠀⠀
⣿⣿⡿⡿⠿⠿⠿⠿⠿⠿⠇⣾⣿⣿⣿⣴⣄⠀⠀⢀⣼⣿⣿⣿⣿⠇⠀⠀⣀⣠⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡙⣿⣿⠃⣿⣿⣿⢸⣿⣻⣷⢿⣷⣿⡏⣿⣿⣇⢸⣿⠀⣿⡟⣿⡇⣿⣿⠿⠰⣶⣿⣿⡷⣶⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣷⣦⣿⣿⣿⠟⠋⠁⠠⠚⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⠀⣿⣿⣿⢸⣿⢻⣷⢸⣿⣿⣇⣿⣿⣿⢸⣿⠀⣿⡇⣿⡇⣝⣻⣷⠀⣰⣿⠿⣿⣿⣿
⣤⣤⣴⣶⣶⣶⣾⣿⣿⣿⣿⣿⣾⣿⣿⣿⡟⠛⣛⣿⡿⠁⠀⠀⠀⠈⠀⢸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠿⠟⠀⠻⠿⠟⠸⠿⠸⠿⠈⠿⠿⠻⠿⠹⠿⠾⠿⠿⠿⠿⠿⠃⠻⠿⠟⠀⢸⡇⣰⣿⣙⣻
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⢀⡃⠀⠹⠿⠿⠿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣯⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⣿⣷⣾⢃⣀⣠⣤⣶⣾⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⣶⣤⣤⣔⡲⢯⠌⣛⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠠⣤⣤⣴⣦⣴⣶⣶⣤⣤⣤⣤⣤⣀⣀⣘⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠁⠀⠀⠀⠀⣤⣶⣶⣶⣾⣿⣟⡻⣿⣿⣿⢿⣿⣿⣶⠈⠀⢻⣿⣿⣿⣿⣧⣀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣶⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⣹⣿⣤⣤⣤⣼⣟⣛⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣿⣽
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠠⠀⠀⠀⠈⠉⠉⠉⠛⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⣼⣿⣿⣿⣿⣿⣴⣈⣩⠝⡛⠻⠿⢿⣯⣭⣿⣿
[22A⣉⣉⣉⣉⣹⣿⣿⣿⣏⣭⣍⣿⣿⣬⣿⣿⣿⣷⡤⠤⠤⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣃⣘⣾⣿⣿⣿⣿⢻⣿⣿⣿⣿⡿⢾⡿⣿⣧⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⡄⠀⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⣼⣿⣿
⣭⣥⣤⠤⠤⠬⣿⣿⠿⠿⠾⢤⣤⠤⢨⣿⣿⠟⠒⠒⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⣤⣤⣶⡦⠀⠀⡿⠁⢸⡏⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿
⠤⠶⠶⠶⠒⠒⠚⠛⡓⠒⡖⠒⠒⢒⣿⣟⣛⣉⣹⣉⣉⣉⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⢿⣿⠀⠀⣏⠀⢸⡇⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿
⡒⠒⠚⢛⠛⠉⣉⣉⣿⣿⣏⣉⣉⣩⣿⣯⠭⠭⠭⠤⠤⢤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠋⠀⠘⠇⣼⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿
⣿⣉⣉⣉⣩⣭⣿⣿⣿⣿⡧⠤⠤⢼⣿⡷⠶⠒⠒⠒⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠩⠭⠥⠤⠤⠄⠀⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿
⣿⣥⡤⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣦⡄⠰⠀⣤⡄⠀⠀⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⡟⠛
⣶⣞⡒⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⠃⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⡆⢸⣿⣿⣧⣄⠀⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣏⣀⣀
⣿⣿⣿⣯⣭⣭⣭⣭⣿⡿⡟⠛⠻⠿⡟⠋⠛⠛⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠘⠛⣀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⠿⠿
⣿⣿⠿⠿⠿⠿⠿⠟⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠟⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀
⣿⣿⣤⡤⠤⠤⠶⠶⠿⠆⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢸⣿⠀⣿⣿⢸⣷⢸⡇⣿⡇⣿⡇⣿⣻⣷⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀
⣿⣿⠀⠀⠀⢀⣀⡀⠀⠀⠀⣿⡶⠶⠶⣶⣶⣶⣦⣤⣶⣦⣴⣾⣷⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣷⣶⢸⣿⠀⣿⣿⢸⣿⣿⡇⣿⡇⣿⡇⣻⣿⣦⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⢀⣀⠀
⣤⣤⣤⣤⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠄⠈⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⣿⣿⣿⡸⠿⠶⠿⠿⠸⠇⠿⠇⠻⣷⡿⠋⠿⣿⠿⢰⣿⣿⣿⣿⣿⡇⠀⠀⠀⣼⣿⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⣛⣻⣿⣻⣿⢿⣿⣿⣿⣿⣿⣿⡀⡀⡀⢀⠀⠀⣴⡞⠁⣀⣀⣤⣤⣶⣶⣶⣿⣿⣛⣛⡿⢟⣛⡻⢷⣚⣀⠀⣀⡀⢀⣀⢀⣀⡀⢀⣀⠀⣀⣘⡻⠿⢟⣛⡛⠇⠀⠀⠀⣿⡇⠀
⣿⣿⣿⠿⡿⠿⠶⠶⠶⣿⣿⡇⢸⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⡏⠀⠀⠈⣀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡘⣿⣿⠃⣿⣿⣿⢸⣿⣻⣷⢿⣿⣿⡏⣿⣿⣇⢸⣿⠀⣿⡟⣿⡇⣿⣿⠿⢠⣴⣶⣾⣿⣷⣤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡧⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠀⠴⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⠀⣿⣿⣿⢹⣿⢻⣷⢸⣿⣿⣇⣿⣿⣿⢸⣿⠀⣿⡇⣿⡇⣝⣻⣷⠈⣭⣥⣿⣿⣿⣟
⣤⣤⣴⣶⣶⣶⣶⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⡿⠿⠛⣿⣿⠏⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠿⠟⠀⠻⠿⠟⠸⠿⠸⠿⠈⠿⠿⠻⠿⠹⠿⠾⠿⠿⠿⠿⠿⠃⠻⠿⠟⠀⡾⠻⡟⢀⣿⡛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠃⠀⠀⠀⠀⠀⠀⠘⠀⠹⢿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⣾⣷⣿⠗⠀⣀⣨⣤⣴⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢿⣶⣦⣤⣤⣀⠼⣥⡬⢻⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠠⢄⣠⣤⣤⣤⣤⣶⣤⣤⣄⣀⣀⣀⣀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣻
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⡋⠀⠀⠀⠀⢠⣤⣴⣶⣾⣿⣿⠿⣿⣿⣿⠿⣿⣿⣥⠍⠉⢻⣿⣿⣿⣿⣧⣀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣭⣤⣄⣘⣻⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⣿⣿⣿⣿⣷⣶⣾⣿⣿⣯⣭⣭
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢠⠀⠀⠉⠉⠉⠙⠛⠛⠻⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⡀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠉⠁⣰⣶⣿⣿⣿⣯⣹⣙⠛⣛⡿⠿⣿⣿⣟⣝⣲
[22A⢘⣉⣉⣉⣉⣹⣿⣿⣿⣿⣭⣭⣹⣿⣥⣿⣿⣿⣿⣤⠤⠤⠤⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠙⢃⣸⣸⣿⣿⣿⣿⠛⣿⣿⢿⣿⣿⢾⡿⣿⣧⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡅⠀⢸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿
⢠⣭⣭⣤⢤⠤⠼⣿⣿⣿⣿⣷⣧⣤⠤⢈⣿⣿⠿⠒⠒⠒⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣶⣦⠀⠀⣟⠃⢸⡏⢺⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⢸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⣿
⢰⡦⠶⠶⠶⠖⠒⠚⣿⣿⣿⣿⣿⡒⠒⣺⣟⣛⣋⣹⣋⣉⣉⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⢿⣿⠀⠀⣿⠀⢸⡇⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣸⣿
⠐⣗⠒⠚⢛⠛⠋⣙⣛⣿⣿⡿⢟⣽⢉⣿⣿⠭⠭⠭⠤⠤⠤⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠉⠀⠈⠇⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣽⣿
⠈⣿⣉⣉⣉⣉⣭⣽⣷⣿⠟⠋⠀⠙⠀⠉⠀⠐⠒⠒⠒⠒⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠈⠩⠥⠥⠤⠤⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿
⠀⣿⣧⣤⣶⣶⣶⣶⣶⣿⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠉⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣦⡄⠠⠀⣤⡄⠀⠀⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⡿
⣤⣶⣶⡒⠺⣿⣿⣿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣦⢸⣷⣿⣧⣤⠀⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣏⣀
⠻⣿⣿⣿⣿⣭⣭⣭⣬⣭⠛⠛⢻⣿⣿⣷⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠘⠛⣢⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢿⡿
⠀⣿⣿⠿⠿⠿⠿⠿⠟⠛⠀⠀⣉⣿⣿⣿⣿⣿⣿⣷⣦⣤⣤⣶⡆⠀⠀⠀⠀⡶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀
⠀⣿⣿⣤⡤⠤⠤⠶⠶⠿⠆⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣇⠀⠀⠀⠀⠁⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⢸⣿⠀⣿⣿⢸⣷⢸⡇⣿⡇⣿⡇⣿⣻⣷⠀⣿⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀
⠀⢿⣿⠀⠀⠀⠀⣀⡀⠀⠀⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⠀⠀⠀⠀⠈⡀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⢸⣿⠀⣿⣿⢸⣿⣿⡇⣿⡇⣿⡇⣻⣿⣦⠀⢹⣿⣿⣿⣿⣿⡏⠀⠀⠀⢀⣀
⣤⣤⣤⣤⣤⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣴⣿⣿⣿⡸⠿⠶⠿⠿⠸⠇⠿⠇⠻⣷⡿⠋⠿⣿⠿⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⣸⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⣛⣻⣿⣿⣿⠿⣿⣿⣿⣿⣿⣷⣄⡀⡀⣀⠀⢀⣶⡏⢀⣀⣤⣤⣶⣾⣿⣿⢿⣛⣛⡿⢟⣛⡻⢷⣛⣀⠀⣀⡀⢀⣀⢀⣀⡀⢀⣀⠀⣀⣀⡘⠿⢟⣛⡻⢿⡇⠀⠀⠀⣿⡇
⣿⡿⠿⠿⠯⠽⠷⠶⠶⣶⣿⣿⡇⢰⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣀⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡘⣿⣿⠃⣿⣿⣿⢸⣿⣻⣷⢿⣿⣿⡏⣿⣿⣇⢸⣿⠀⣿⡟⣿⡇⣿⣿⠿⢸⣷⣤⣤⣾⣿⣷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⡿⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠀⠴⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⠀⣿⣿⣿⢻⣿⢻⣷⢸⣿⣿⣇⣿⣿⣿⢸⣿⠀⣿⡇⣿⡇⣽⣻⣷⠈⣿⣭⣽⣿⣿⣶
⣤⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⡿⠿⠻⣿⣿⠏⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠿⠟⠀⠻⠿⠟⠸⠿⠸⠿⠈⠿⠿⠻⠿⠹⠿⠾⠿⠿⠿⠿⠿⠃⠻⠿⠟⣀⣽⡿⢽⡏⠨⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⢀⡂⠀⠹⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠀⠀⠀⠀⢶⣾⣶⣿⠖⠂⢉⣀⣤⣴⣿⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣿⣷⣦⣤⣤⣠⠿⣧⣌⡻⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠠⢀⣠⣤⣤⣤⣤⣶⣤⣤⣀⣀⣀⣀⡀⠀⠸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢛⠋⠀⠀⠀⠀⣤⣤⣴⣶⣾⣿⣿⢿⣿⣿⣿⠿⣿⣿⣥⠉⠁⢻⣿⣿⣿⣿⣇⣀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣯⣭⣤⣄⣘⣻⣿⣿⣿⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⣿⣿⣿⣿⣶⣾⣿⣿⣯⣭⣭
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⢰⠀⠀⠉⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⣀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠉⠉⠁⣰⣶⣾⣿⣿⣏⣩⡙⠛⠻⠿⢿⣿⣿⢟⣙
[22A⠀⢉⣉⣉⣉⣉⣹⣿⣿⣯⣿⣿⣿⡿⢫⡦⣿⣿⣿⣿⡤⠤⠤⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⣴⣼⣷⣿⣿⢿⢻⣿⣿⢿⣿⣿⢺⡿⣿⣷⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡄⠀⢸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸
⠀⠠⠦⠤⠤⠤⠤⠬⢿⣿⣿⡿⠿⠧⠟⠀⠈⣿⣿⠟⠒⠒⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⣤⣴⣶⡆⠈⠈⡟⠁⢸⡏⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⢸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸
⠀⠰⡶⠶⠖⠒⠒⠒⠚⠛⣿⣛⠀⠀⠀⠀⠀⠈⠉⢉⣹⣉⣉⣉⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢿⡇⠀⠀⣿⠀⢸⡇⢿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸
⠀⠘⣟⡛⣛⣋⣉⣉⣉⣉⣿⣿⣯⣁⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠆⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠃⠀⠘⠇⣼⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸
⠀⢈⣿⣍⣍⣭⣥⣤⣾⣷⣿⣿⡧⠤⠤⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠩⠭⠤⠤⠤⠀⠂⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⡏⠀⠀⠀⣻
⠀⠨⡿⢧⡴⣾⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣶⣦⡄⠠⠀⣤⡄⠀⠀⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⡗⠀⠀⠀⣿
⣤⣤⣶⣾⣒⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡆⢹⣷⣿⣧⡦⠀⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣋
⡏⢻⣿⣿⢿⣯⣭⣭⣭⣶⡎⠙⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⠀⠀⠀⠀⣀⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠇⠘⠛⣠⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠿
⡇⠀⣿⣿⠙⠛⠛⠛⠛⠛⠋⠀⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠹⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀
⡇⠀⣿⣿⣤⠤⠤⠶⠶⠾⠿⠂⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠂⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⢸⣿⠀⣿⣿⢸⣷⢸⡇⣿⡇⣿⡇⣿⣻⣷⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀
⡇⠀⢿⡿⠀⠀⠀⢀⡠⠤⠄⢀⣀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⡀⠀⠀⠀⠠⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢸⣿⠀⣿⣿⢸⣿⣿⡇⣿⡇⣿⡇⣻⣿⣦⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣀
⣤⣤⣤⣤⣶⣶⣶⣶⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠂⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣶⣿⣿⣿⡸⠿⠶⠿⠿⠸⠇⠿⠇⠻⣷⡿⠋⠿⣿⠿⠀⠀⢹⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⣟⣛⣿⣿⡿⡿⠿⣿⣿⣿⣿⣿⣿⣧⠀⠂⡄⠀⢰⣾⢀⣠⣤⣶⣶⣿⣿⣿⢟⣛⣛⡻⢟⣛⡻⢷⣚⣂⠒⣀⡀⣀⣀⢀⣀⡀⢀⣀⠀⣀⣀⡀⠘⢟⣛⡻⣿⣿⡇⠀⠀⢀⣿
⠿⠛⠛⠛⠉⠛⠒⠒⠲⣿⣿⣿⣿⡆⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⠀⠀⢀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡘⣿⣿⠃⣿⣿⣿⢸⣿⣻⣷⢿⣷⣿⡏⣿⣿⣇⢸⣿⠀⣿⡟⣿⡇⣿⣿⠿⢸⣿⣧⣤⣶⣾⣿
⠀⠀⠀⠀⠀⣀⣀⣀⣀⣸⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠁⠠⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⠀⣿⣿⣿⢹⣿⢻⣷⢸⣿⣿⣇⣿⣿⣿⢸⣿⠀⣿⡇⣿⡇⣽⣻⣷⠈⣿⣯⣭⣷⣿⣿
⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⡿⠛⢛⣿⡿⠋⠀⠀⠀⠀⠀⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠿⠟⠀⠻⠿⠟⠸⠿⠸⠿⠈⠿⠿⠻⠿⠹⠿⠾⠿⠿⠿⠿⠿⢃⠻⠿⠟⢀⣽⣿⡯⢿⠅⢘
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⢐⡃⠈⠛⠿⠿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠓⠂⠀⠀⠐⣶⣿⣶⡷⠚⠉⣁⣠⣤⣼⣶⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠘⣿⣷⣦⣶⣦⣖⣻⡧⢌⣛⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠤⣠⣤⣤⣤⣤⣴⣦⣤⣤⣀⣀⣀⣀⡀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⠉⠀⠀⠀⠀⣤⣶⣶⣶⣿⣿⣟⠿⣿⣿⡿⣿⣿⣿⡶⠉⠈⣿⣿⣿⣿⣿⣄⡀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣙⣿⣭⣤⣤⣤⣝⣛⣛⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣹⣿⣿⣿⣿⣶⣾⣿⣿⣯⣭
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⡇⠀⠀⠈⠉⠉⠉⠛⠛⠻⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠠⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠉⠉⢀⣶⣶⣿⣿⣿⣍⣍⠛⢛⡿⠿⢿⣿⡿⣉
[22A⠀⠀⣉⣉⣀⣤⣤⣽⣿⣿⣯⣿⣬⡧⠝⠛⠁⠀⠀⢻⣷⠤⠤⠤⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣠⣷⠿⠿⠿⠿⠟⢻⣿⡿⣿⣿⡗⣿⢿⣿⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀
⠀⠀⠴⠧⠴⠶⠦⠤⠾⢿⣿⣿⠛⠒⠂⠀⠀⠀⠀⠈⠑⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⣶⣶⣶⣶⡆⠀⢸⡝⠀⢿⠋⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀
⠀⠀⢲⠒⠒⠒⠒⠒⠒⢛⣻⣟⣉⣏⣉⣁⡀⠀⠀⠀⠀⠀⠀⠤⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⡇⠀⢸⡅⠀⢸⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀
⠀⠀⢸⣏⣉⣉⣉⣉⣉⣉⣩⣿⣿⡯⠤⠤⢴⡄⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠁⠀⠘⠀⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀
⠀⠀⢸⣿⣤⣤⣤⣤⣴⠿⠿⣿⣿⡷⠒⠒⣾⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠤⠤⠤⠐⠒⠒⠒⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀
⠀⠀⠸⠿⠶⠶⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣾⣦⠀⠀⢠⣤⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀
⣶⣶⣾⣿⣿⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⠀⣿⣾⣿⣶⡆⠸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀
⣿⠉⢻⣿⣟⣿⣭⣭⣽⣶⣶⡎⠉⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢠⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠇⠛⢃⣽⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀
⣿⠀⢸⣿⡟⠛⠛⠛⠛⠛⠛⠁⠀⢠⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠸⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀
⣿⠀⢸⣿⡷⠶⠶⠖⠒⠛⠛⠛⠀⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣷⠀⠀⠀⠄⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣀⢸⣿⠀⣿⣿⢸⣷⢸⡇⣿⡇⣿⡇⣿⣻⣷⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀
⡿⠀⠘⠿⠇⠀⠀⠀⠠⠤⠄⢀⣀⣘⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣦⡀⠀⠂⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⢸⣿⠀⣿⣿⢸⣿⣿⡇⣿⡇⣿⡇⣻⣿⣦⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀
⣤⣤⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠁⡀⠀⡀⠀⠀⠀⠀⢀⣀⣠⣤⣶⣶⣿⣿⣿⡸⠿⠶⠿⠿⠸⠇⠿⠇⠻⣷⡿⠋⠿⣿⠿⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠟⠛⣛⣛⣿⣿⣯⠿⠿⢿⣿⣿⣿⣿⣿⡿⠄⠄⠤⠠⠠⣿⣇⣠⣴⣶⣾⣿⣿⣿⢟⣛⣛⡻⢟⣛⡻⢷⣒⣒⠐⣂⡀⢀⣀⢀⣀⡀⢀⣀⠀⣀⣀⡀⠀⢙⣛⡻⣿⣿⣿⡇⠀⠀⣼
⠛⠉⠉⠉⠉⠀⠀⠚⠻⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⣀⣤⣴⣢⣿⣿⣿⣿⣿⣿⣿⣿⣿⡘⣿⣿⠃⣿⣿⣿⢸⣿⣻⣷⢿⣷⣿⡏⣿⣿⣇⢸⣿⠀⣿⡟⣿⡇⣿⣿⠿⢸⣿⣿⣷⣶⣾⣿
⡀⣀⣀⣀⣀⣀⣤⣤⣤⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠋⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⠀⣿⣿⣿⢸⣿⢻⣷⢸⣿⣿⣇⣿⣿⣿⢸⣿⠀⣿⡇⣿⡇⣝⣻⣷⠈⣿⣿⣧⣴⣾⢿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣛⣛⣻⣿⠏⠀⠀⠀⠀⠀⢘⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡿⠟⠀⠻⠿⠟⠸⠿⠸⠿⠈⠿⠿⠻⠿⠹⠿⠾⠿⠿⠿⠿⠿⠃⠻⠿⠟⢀⣿⣽⡿⠹⣇⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⣇⡀⠙⠛⠻⠿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠂⠀⠀⠀⢲⣾⣿⣾⠂⢉⣁⣤⣤⣴⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⢻⣿⣷⣶⣶⣶⣚⣿⣤⣝⡻⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⢥⣴⣦⣤⣤⣴⣶⣶⣤⣤⣤⣄⣀⣀⣐⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⡍⠀⠀⠀⠀⢰⣶⣶⣾⣿⣿⣿⣛⢿⣿⣿⣟⣿⣿⣶⠂⠀⢹⣿⣿⣿⣿⣧⣄⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣻⣿⣶⣦⣦⣬⣝⣛⣛⣻⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣿⣿⣿⣿⣿⣷⣶⣶⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⣼⣿⣿⣿⣿⣯⣜⣋⠙⣛⡻⠿⢿⣿⣋
[22A⠀⠀⠀⠠⡤⠤⠤⠴⠾⠿⣿⣿⣾⣷⡾⠶⠛⠛⠋⠁⠈⢿⠒⠒⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠶⠾⠟⠛⠛⠛⠛⢸⣿⠿⢿⡿⣏⣹⣯⣿⣿⣿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⢸⣿⣿⣿⣿⣿⣿⣿⠀⠀
⠀⠀⠀⢘⠓⠒⠒⠒⠒⠚⢻⣿⣿⣏⣉⣉⣁⠀⠀⠀⠀⠀⢩⡁⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠿⣿⣿⣿⡇⠀⠘⣿⠀⢸⠇⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⢸⣿⣿⣿⣿⣿⣿⣿⠀⠀
⠀⠀⠀⢘⣋⣉⣉⣉⣉⣉⣉⣉⣿⣧⣬⠤⠤⠄⠀⠀⠀⠀⠀⠠⠶⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⡇⠀⠀⡿⠀⢸⡇⣻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠀⠀
⠀⠀⠀⢨⣯⣤⣤⠤⠤⠤⢤⣤⣿⣿⣿⠒⠒⢲⡆⠀⠀⠀⠀⠀⠈⠙⠉⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠁⠿⠿⠿⠿⠿⠟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⠀⠀
⠀⠀⠀⠠⣿⠶⢶⣶⣶⣾⣟⣛⣿⣿⣿⣉⣉⣽⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠒⠒⠂⠉⠉⠉⠉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⠀⠀
⠀⠀⠀⠘⣛⣻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡷⠂⣠⣰⣶⡆⠀⠠⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⡟⠀⠀
⣿⣿⣿⣿⣿⣿⣭⣽⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡇⢹⣟⠿⣿⡇⠈⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀
⣿⣿⡇⢹⣿⣿⣽⣷⣶⣾⣿⣿⡇⠀⠠⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⢰⣞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠈⠁⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀
⠸⣿⡇⠀⣿⣿⠉⠉⠉⠉⢉⣉⣀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠈⠁⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀
⢠⣿⡇⠀⣿⣿⠛⠛⠉⠉⠉⠉⠉⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣿⣹⣄⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣦⢸⣿⠀⣿⣿⢸⣷⢸⡇⣿⡇⣿⡇⣿⣻⣷⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀
⠸⠻⠃⠀⠛⠛⠀⠀⠀⣀⣒⣒⣀⣤⣤⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⢁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⢸⣿⠀⣿⣿⢸⣿⣿⡇⣿⡇⣿⡇⣻⣿⣦⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⡇⠀⠀
⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⡀⠀⠀⠀⣀⠀⠀⠀⠀⣀⣠⣤⣶⣾⣿⣿⣿⣿⡸⠿⠶⠿⠿⠸⠇⠿⠇⠻⣷⡿⠋⠿⣿⠿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀
⡿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣟⣛⣛⣛⣩⡉⣭⣽⣿⣶⣾⣟⣛⣻⣿⣿⣿⣿⣿⡏⠃⠀⠚⠀⡐⣿⣤⣶⣾⣿⣿⣿⣿⣟⣛⣛⡻⢛⣛⡻⢗⣚⣒⠂⣂⡀⢀⣀⢀⣀⡀⢀⣀⠀⣀⣀⡀⠀⢀⣘⡻⣿⣿⣿⣿⡇⠀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠉⣻⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡘⣿⣿⠃⣿⣿⣿⢸⣿⣻⣷⢿⣷⣿⡏⣿⣿⣇⢸⣿⠀⣿⡟⣿⡇⣿⣿⠿⢸⣿⣿⣿⡿⠿⢿
⣴⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠈⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⠀⣿⣿⣿⢹⣿⢻⣷⢸⣿⣿⣇⣿⣿⣿⢸⣿⠀⣿⡇⣿⡇⣽⣻⣷⠀⣿⣿⢿⣿⣿⡿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣽⡿⠁⠀⠀⠀⠀⠀⡌⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣟⠀⠻⠿⠟⠸⠿⠸⠿⠈⠿⠿⠻⠿⠹⠿⠾⠿⠿⠿⠿⠿⠃⠻⠿⠟⢀⣿⠷⠞⠛⠘⣷
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⣧⣄⣈⠉⠙⠛⣿⡛⠿⣿⣿⣿⣿⣿⣿⣿⣤⡀⠀⠀⠀⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣷⣾⣁⣤⣤⣶⣶⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⣀⣹⣿⣿⣿⣿⣷⣯⣿⣴⣮⡟⠿⠿⣿⣿⣿⣿⣷⡀⠀⠀⢰⣾⣿⣿⣷⣿⣿⣿⣷⣶⣶⣶⣶⣤⣬⣌⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡆⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣽⣻⣿⣿⣿⢿⣿⠿⠁⠀⣿⣿⣿⣿⣿⣷⣦⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠾⣿⣿⣿⣛⣿⣿⡿⠿⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⢸⠛⠛⠿⠿⠿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⠿⠿⠿⠿⢛⣉⣙⣛⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠛⠻⠿⠿⢿⣿⣿⣿⣿⣧⠀⠀⣠⣾⣿⣿⣿⣿⣷⣮⣥⣄⡭⠭⠛⠻⠟
[22A⠄⠀⠀⠀⠤⠤⠤⠤⠤⠿⢿⣿⣿⣾⢷⣿⣿⣿⣿⣿⣿⣿⡟⠒⠒⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠈⠷⠐⠛⠛⠛⣛⠛⠃⢿⡿⠟⣿⢿⣍⣿⣽⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇⠀
⠂⠀⠀⠀⡒⠒⠒⠒⠒⠒⠛⢿⣿⣿⣋⣉⣿⣿⣿⠿⢿⣿⣉⣭⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⢿⣿⣿⣿⠁⠀⢸⠁⠀⣿⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⢿⣿⣿⣿⣿⣿⣿⡇⠀
⠂⠀⠀⠀⣻⣋⣉⣉⣉⣉⣉⣉⣉⣿⣥⣬⠍⠉⠀⠀⠀⠠⠶⠿⠶⠖⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⠀⠀⢸⠀⠀⣿⠈⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀
⣁⠀⠀⠀⢸⣥⣤⣤⠤⠤⠤⣤⣤⣿⣾⣿⠂⠀⠀⠀⠀⠀⠈⠋⣉⣉⣙⡑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠈⠸⠿⠿⠿⠿⠟⠛⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀
⡤⠀⠀⠀⢸⣿⠶⢶⣶⣶⣾⣿⣿⣿⣿⣿⣋⣁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⢒⠒⠂⠈⠉⠉⠉⠉⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀
⣶⠀⠀⠀⠘⣛⣻⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣗⠀⣥⢸⣷⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀
⣿⣿⣿⣿⣿⣿⣿⣭⣽⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⠀⣿⣿⣻⣿⡆⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀
⣿⣿⣿⠀⢻⣿⣏⣿⣶⣶⣾⣿⣿⡀⠀⠬⢽⣿⣿⣿⣷⣄⡀⠀⢀⣀⣤⣤⠀⠀⠀⣴⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠉⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀
⣿⢹⣿⠀⢸⣿⡏⠉⠉⠉⠉⣉⣁⣀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠙⠀⡀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀
⣿⢸⣿⠀⢸⣿⡟⠛⠛⠉⠉⠉⠉⠉⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⢸⣿⠀⣿⣿⢸⣷⢸⡇⣿⡇⣿⡇⣿⣻⣷⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡇⠀
⡟⠸⠟⠀⠈⠛⠃⠀⠀⠀⣐⣒⣂⣠⣤⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⠈⢀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⢸⣿⠀⣿⣿⢸⣿⣿⡇⣿⡇⣿⡇⣻⣿⣦⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀
⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡀⠀⠀⠀⡀⠀⠀⠀⠀⣀⣤⣤⣶⣾⣿⣿⣿⡸⠿⠶⠿⠿⠸⠇⠿⠇⠻⣷⡿⠋⠿⣿⠿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀
⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣛⣛⣛⣋⣉⢉⣽⣿⣷⣶⣿⣛⣛⣿⣿⣿⣿⣿⣿⠛⠀⠀⠂⢀⢸⣿⣴⣶⣾⣿⣿⣿⢟⣛⣛⡛⢛⣛⡛⢷⣚⣓⠒⣐⡂⢀⣀⢀⣀⡀⢀⣀⠀⣀⣀⡀⠀⢀⣀⡸⣿⣿⣿⣿⣿⡇⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠉⡩⢿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⣤⣴⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⡘⣿⣿⠃⣿⣿⣿⢸⣿⣻⣷⢿⣷⣿⡏⣿⣿⣇⢸⣿⠀⣿⡟⣿⡇⣿⣿⠿⢘⣿⣿⣿⣿⠿⠟
⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠈⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⠀⣿⣿⣿⢻⣿⢻⣷⢸⣿⣿⣇⣿⣿⣿⢸⣿⠀⣿⡇⣿⡇⣽⣻⣷⠈⣿⣿⡿⣿⣿⡿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣭⣭⣿⡟⠁⠀⠀⠀⠀⢠⠏⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣀⠻⠿⠟⠸⠿⠸⠿⠈⠿⠿⠻⠿⠹⠿⠾⠿⠿⠿⠿⠿⠃⠻⠿⠟⣀⣿⠿⠿⠛⠃⢈
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⢸⣦⣄⣈⠉⠙⢛⣿⢛⢿⣿⣿⣿⣿⣿⣿⣷⣦⠀⠀⠀⠀⡀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣷⣯⣤⣤⣶⣶⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⣀⣀⣻⣿⣿⣿⣿⣾⣽⣯⣴⣿⠛⠿⢻⣿⣿⣿⣿⣇⠀⠀⠀⣲⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣤⣥⡌⢻⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣶⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣯⠽⣿⡿⠏⠀⠸⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣟⣛⣛⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠛⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣶⣶⣶⣶⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠁⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣟⠻⠿⠿⠟⣋⣉⣽⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠛⠛⠿⠿⠿⣿⣿⣿⣿⡆⠠⠀⣴⣿⣿⣿⣿⣿⣷⣷⣦⣶⠯⠍⠛⠛
[22A⠤⠀⠀⠀⠠⠤⠤⠤⠤⠼⠿⣿⣿⣿⣿⣿⣿⡿⠓⠺⢿⣿⣿⠗⠚⢚⠂⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠓⠚⠛⠓⢛⡛⠛⠘⣿⠟⢹⡿⣿⣽⣯⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠸⣿⣿⣿⣿⣿⣿⣿⠀
⠒⠀⠀⠀⠐⡒⠒⠒⠒⠒⠒⢻⣿⣿⣿⣿⣿⣿⣋⣉⣿⣿⣏⣩⡅⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢿⣿⣿⣿⡿⠀⠀⣧⠀⢸⡇⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀
⠒⠀⠀⠀⠈⣟⣉⣉⣉⣉⣉⣉⣹⣿⣿⣿⣿⣿⠤⢼⣿⠵⠴⢾⠷⠖⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⠀⠀⡧⠂⢜⡇⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀
⣉⡁⠀⠀⠀⣽⣤⣤⣤⠤⠤⠤⣤⣾⣿⣿⣿⣿⣶⣿⣿⡒⠀⣛⣉⣉⣉⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠁⠀⠀⠁⠽⠿⠿⠟⠛⠛⠃⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⠀
⡥⠄⠀⠀⠀⣿⣷⠶⣶⣶⣶⣿⣛⣿⣿⣿⣿⣿⣿⠟⣋⣉⣉⣨⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢒⣒⡒⠀⠈⠉⠉⠉⠉⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀
⣶⡆⠀⠀⠀⠛⣛⣟⣻⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠈⠙⣻⣿⣿⣿⣿⠇⠀⠀⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡃⢨⡄⣿⡇⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀
⢿⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⡿⠿⠿⣿⣿⣇⠀⠀⠀⠀⠀⠈⠉⠻⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡇⢸⣷⡛⣻⣿⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀
⢰⡿⣿⡇⠈⣿⣿⣽⣷⣶⣶⣿⣿⣷⠀⠠⠤⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⠀
⢸⡇⢿⡇⠀⣿⣿⡉⠉⠉⠉⢉⣉⣀⡀⠀⣶⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⡏⢁⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀
⢸⡇⣼⡇⠀⢿⣿⠟⠛⠋⠉⠉⠉⠉⠁⠀⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⣰⡀⠀⠈⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢸⣿⠀⣿⣿⢸⣷⢸⡇⣿⡇⣿⣧⣿⣻⣷⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀
⠸⠇⠟⠇⠀⠘⠛⠀⠀⠀⣀⣒⣒⣀⣤⣤⣭⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣷⡀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⢸⣿⠀⣿⣿⢸⣿⣿⡇⣿⡇⣿⡇⣻⣿⣦⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀
⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢀⠄⠀⠀⣀⠀⠀⠀⠀⢀⣠⣤⣴⣶⣿⣿⣿⡸⠿⠶⠿⠿⠸⠇⠿⠇⠻⣷⡿⠋⠿⣿⠿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀
⠿⠿⠿⠿⠛⠿⠿⠿⠿⢿⣿⣿⣛⣛⣛⣭⡉⢩⣿⣷⣾⣾⣟⣛⣻⣿⣿⣿⣿⣿⡟⠃⠂⠒⠀⡀⣿⣤⣶⣾⣿⣿⣿⢿⣛⣛⡛⢛⣛⡛⢷⣚⣛⠒⣂⡒⢂⣀⢀⣀⡀⢀⣀⠀⣀⣀⡀⠀⢀⣀⡀⢿⣿⣿⣿⣿⣿⣀
⠀⠀⠀⠀⠀⠀⠀⣀⣈⣉⠉⣿⣿⣿⣿⣿⡇⢸⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⢠⣤⣶⣾⣷⣿⣿⣿⣿⣿⣿⣿⡘⣿⣿⠃⣿⣿⣿⢸⣿⣻⣷⢿⣿⣿⡏⣿⣿⣇⢸⣿⠀⣿⡟⣿⡇⣿⣿⠿⢨⣿⣿⡿⣿⡟⠛
⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⠀⣿⣿⣿⢸⣿⢻⣷⢸⣿⣿⣇⣿⣿⣿⢸⣿⠀⣿⡇⣿⡇⣽⣻⣷⠈⣿⣿⣿⢿⣿⡿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺⣿⣿⣿⣿⣯⣭⣴⣿⠃⠀⠀⠀⠀⠀⡬⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣄⡻⠿⠟⠸⠿⠸⠿⠈⠿⠿⠻⠿⠹⠿⠾⠿⠿⠿⠿⠿⠃⠻⠿⠟⢠⣿⠿⠟⠛⠉⢁
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⢷⣤⣀⡉⡉⢙⣻⣟⡻⣿⣿⣿⣿⣿⣿⣿⣶⡄⠀⠀⠀⠀⡀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣤⣴⣶⣾⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⣀⣀⣘⣿⣿⣿⣿⣿⣮⣿⣥⣶⣟⠻⠟⣿⣿⣿⣿⣿⡄⠀⠈⢉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣦⣤⠙⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣶⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⡭⢿⡿⠿⠁⠀⠿⣿⣿⣿⣿⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣿⣿⣿⣿⣿⣛⣛⣛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠈⠙⠛⠛⠻⠿⠿⢿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⣁⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⡛⠛⠿⠛⢫⣥⣬⣭⣽⡿⢻⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠛⠻⠿⠿⢿⣿⣿⠷⠀⠄⢀⣾⣿⣿⣿⣿⣿⣿⣶⣦⣒⠚⠉⠙
[22A⠤⠀⠀⠀⠀⠤⠤⠤⠤⠤⠿⢿⣿⣿⣿⣿⡿⠳⠒⠚⢿⣿⣿⡗⠒⠚⠂⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠛⠓⠒⠚⠛⠛⡛⠛⠀⣿⠟⠹⡿⢿⣭⣯⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇
⠒⠂⠀⠀⠀⡚⠒⠒⠒⠒⠒⠛⣿⣿⣿⣋⣉⣉⣉⣉⣽⣿⣏⣉⡥⠠⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⠀⠀⣃⠀⠀⡏⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇
⠒⠂⠀⠀⠀⣛⣉⣉⣉⣉⣉⣉⣉⣩⣽⣷⣤⠤⠤⢴⣿⠥⠴⠶⠷⠖⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⣿⠀⠀⠰⠀⠀⡇⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⡇
⣉⡁⠀⠀⠀⣸⣥⣤⣤⠤⠤⠤⣤⠤⣿⣶⣿⠒⠒⢺⣿⣓⠀⢙⣉⣉⣉⣃⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠈⠀⠀⠁⠸⠿⠟⠛⠛⢛⣃⡀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⡇
⣥⠄⠀⠀⠀⢼⣷⠶⢶⡶⢶⣾⣛⣻⣿⣿⣿⣉⣉⣿⣿⣉⣉⣠⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⣒⣂⠀⠉⠉⠉⠉⠁⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⣿⣿⣿⡇
⣶⣖⠀⠀⠀⠚⣛⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣃⢠⣥⣿⣇⢀⠀⣾⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⡇
⠿⣿⣿⣿⣶⣿⣿⣯⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⠈⣿⠛⢻⣿⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇
⢠⣿⣿⣿⠀⢻⣿⣏⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⢰⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇
⠈⡏⢻⣿⠀⢸⣿⡏⠉⠉⠉⠉⣉⣭⣿⣿⣿⣿⣿⣿⠛⠿⠿⠿⣿⣿⣿⠋⠀⠀⠀⠀⣼⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇
⠀⡇⣸⣿⠀⢸⣿⡟⠛⠋⠉⠉⠉⠉⠉⠚⡟⠃⠀⠉⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⢸⣏⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⣿⣿⢸⣷⢸⡇⣿⡇⣿⣧⣿⣻⣷⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠃
⠀⡇⠻⠛⠀⠘⠛⠃⠀⠀⢀⣐⣒⣂⣠⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⢸⣿⠀⣿⣿⢸⣿⣿⡇⣿⡇⣿⡇⣻⣿⣦⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⠇
⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠀⠀⠀⢀⡀⠀⠀⠀⣀⣠⣤⣴⣶⣿⣿⣿⡸⠿⠶⠿⠿⠸⠇⠿⠇⠻⣷⡿⠋⠿⣿⠿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡆
⠛⠛⠛⠛⠛⠛⠛⠿⠿⣿⣿⣟⣛⣛⣋⣭⡍⢩⣝⣶⣶⣶⣆⡒⣂⣴⣤⣴⣤⣴⡟⠃⠀⠐⠀⢀⢿⣧⣶⣾⣿⣿⣿⢟⣛⣛⡛⢛⣛⡛⢗⣚⣛⠒⣂⡐⢂⣀⢀⣀⡀⢀⣀⠀⣀⣀⡀⠀⢀⣀⡀⢻⣿⣿⣿⣿⣿⣂
⠀⠀⠀⠀⢀⣀⣀⣀⣈⡉⢩⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⢀⣤⣶⣾⣷⣿⣿⣿⣿⣿⣿⣿⡘⣿⣟⠃⣿⣿⣿⢸⣿⣻⣷⢿⣷⣿⡏⣿⣿⣇⢸⣿⠀⣿⡟⣿⡇⣿⣿⠿⢨⣿⡿⣿⣿⣟⣛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠅⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡯⠀⣿⣿⣿⢸⣿⢻⣷⢸⣿⣿⣇⣿⣿⣿⢸⣿⠀⣿⡇⣿⡇⣝⣻⣷⠈⣿⣿⣿⢻⣿⡿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣭⣠⣾⠋⠀⠀⠀⠀⠀⢨⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣷⣄⡻⠿⠟⠸⠿⠸⠿⠈⠿⠿⠻⠿⠹⠿⠾⠿⠿⠿⠿⠿⠃⠻⠿⠟⢠⣿⠟⠛⠛⠈⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⢰⣦⣄⡀⣉⠉⣛⣿⠛⢿⣿⣿⣿⣿⣿⣿⣶⣆⠀⠀⠀⠀⠀⢀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣤⣶⣶⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⠀⠀⠀⠀⠀⣀⣀⣈⣿⣿⣿⣿⣿⣶⣿⣯⣶⣟⡛⠟⣿⣿⣿⣿⣿⡄⠀⠀⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⠈⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣿⣿⣿⣿⣶⠂⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣾⣽⣿⣿⡿⢿⣿⠟⠁⠀⠸⢿⣿⣿⣿⡿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣿⣿⣿⣯⣽⣿⣿⣟
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⡉⠛⠛⠛⠻⠿⠿⢿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⡝⠛⠛⠛⢫⣥⣤⣭⣿⣿⢛⡿⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠛⠻⠿⠿⠿⣿⠷⠀⠀⠠⣾⣿⣿⣿⣿⣿⣿⣧⣤⣒⡒⠈⠉
[22A⣉⣁⠀⠀⠀⢉⣉⣉⣭⣉⣽⣿⣿⣿⣿⣿⣿⠿⠤⠤⣿⣿⣿⡷⠦⠶⠆⠲⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⠧⠼⠼⠧⠿⠿⠛⠹⣿⠟⢻⣿⣟⣻⣋⣿⣷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇⠀
⠤⠤⠀⠀⠀⠰⠦⠤⠦⠤⠤⠾⢿⣿⡿⡿⠒⠒⠒⠒⣺⣿⣟⢓⣂⣈⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⣶⣶⣶⣶⣾⡇⠀⠀⡇⠀⢸⠆⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⡇⠀
⠶⠆⠀⠀⠀⠐⠒⠒⠒⠒⠒⠚⢛⣛⣙⣿⣯⣉⣉⣉⣿⣯⣥⣤⡧⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠻⢿⣿⣧⠀⠀⡇⠀⢸⡁⢻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀
⡒⡓⠀⠀⠀⢈⣏⣉⣉⣉⣉⣉⣉⣭⣼⣯⣿⡧⠤⢼⣿⡗⠐⠒⠓⠒⠂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠀⠀⠁⠀⠈⠁⠿⠿⠿⠿⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀
⣉⣍⠀⠀⠀⢀⣿⣤⠤⢤⠤⠶⠿⢿⣾⣿⣿⣗⣒⣾⣿⣛⣉⣉⣉⣉⡉⠉⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠐⠒⠒⠒⠒⠊⠉⠉⠉⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀
⣷⣶⠄⠀⠀⠐⠿⢶⠖⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣷⠂⣀⡀⣶⡆⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀
⣿⣿⣷⣶⣶⣶⣿⣯⣍⣹⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡇⢸⡟⠛⣿⡇⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀
⡇⣸⣿⣿⡇⠹⣿⣿⣻⣶⣶⣶⣶⣿⡇⠈⠉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠈⠁⣤⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡇⠀
⡇⢹⡟⣿⡇⠀⣿⣿⠈⠉⠉⠉⠉⣉⣀⠀⢠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠓⠀⠀⠀⠀⠈⠀⠀⠈⠁⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀
⡄⢸⠀⣿⡇⠀⣿⣿⠖⠚⠛⠛⠛⠋⠉⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣿⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⣿⣿⢸⣷⢸⡇⣿⡇⣿⣧⣿⣻⣷⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀
⡇⢸⠸⠿⠃⠀⠛⠛⠀⠀⠀⢀⣒⣒⣀⣤⣤⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⢸⣿⠀⣿⣿⢸⣿⣿⡇⣿⡇⣿⡇⣻⣿⣦⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀
⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⣀⣠⣤⣴⣶⣿⣿⣿⡸⠿⠶⠿⠿⠸⠇⠿⠇⠻⣷⡿⠋⠿⣿⠿⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⡇⠀
⠋⠙⠋⠛⠋⠛⠛⠿⠿⠿⢿⣿⣛⣛⣛⣹⣭⠉⡭⣽⣷⣾⣿⡛⡆⠀⠀⠀⠀⠀⠀⠒⠀⠐⠂⢀⢿⣧⣶⣾⣿⣿⣿⢟⣛⣛⡛⢛⣛⡛⢗⣚⣓⠒⣀⡂⢀⣀⢀⣀⡀⢀⣀⠀⣀⣀⡀⠀⢀⣀⡘⣿⣿⣿⣿⣿⣇⣠
⠀⠀⢀⣀⣀⣀⣀⣀⣬⣏⣉⣽⣿⣿⣿⣿⣿⡇⣯⣿⣿⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣾⣽⣿⣿⣿⣿⣿⣿⣿⡘⣿⡿⠃⣿⣿⣿⢸⣿⣻⣷⢿⣷⣿⡏⣿⣿⣇⢸⣿⠀⣿⡟⣿⡇⣿⣿⠿⠨⡿⣿⣿⣟⣛⣛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠅⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣗⠀⣿⣿⣿⢸⣿⢻⣷⢸⣿⣿⣇⣿⣿⣿⢸⣿⠀⣿⡇⣿⡇⣝⣻⣷⠀⣿⣿⣛⣿⠿⣟
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣤⣀⠀⠀⠀⠀⠀⠀⠀⢠⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣄⡻⠿⠟⠸⠿⠸⠿⠈⠿⠿⠺⠿⠹⠿⠾⠿⠿⠿⠿⠿⠃⠻⠿⠟⠀⠟⠛⠉⢀⣀⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢱⣦⣤⣀⣈⡉⣹⣍⡙⢿⣿⣿⣿⣿⣿⣷⣶⡄⠀⠀⠀⠄⢀⣀⣀⠀⣠⣄⣀⡀⠀⠀⠀⠀⠀⠀⢻⣿⣾⣷⣶⣶⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⣀⣀⣠⣬⣿⣿⣿⣿⣿⣷⣿⣶⣶⣊⡛⠛⣿⣿⣿⣿⣷⡀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣆⣻⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣶⠆⠀⠀⠀⠐⣿⣿⣿⣿⣿⣿⣶⣯⣿⣿⡖⢻⣿⣓⣀⡀⠻⠿⢿⡿⠿⠿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣻⣿⣿⣿⣿⣭⣭⣽⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⠿⠿⠀⠀⠀⠀⠀⡉⠉⠉⠛⠛⠛⠿⠿⠿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠉⠙⠋⠉⣤⣴⣶⣾⣿⣉⠟⠻⠿⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠛⠻⠿⠿⠿⠁⠀⣀⡾⠿⣿⣿⣿⣿⣿⣿⣶⣬⣉⡀⠀⠉
[22A⣋⣙⣛⠀⠀⠀⢈⣻⣿⣿⣝⣙⣿⣿⣿⣿⣿⣿⣿⣍⣉⣿⣿⡯⠭⠅⠅⠀⠀⠀⠀⠿⠿⠿⣿⣿⣿⣿⠿⡿⣿⢿⣿⣿⣯⣭⣿⣿⣷⡶⢶⣷⣿⢆⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠈⠋⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀
⣉⣩⣭⠀⠀⠀⠨⢭⡥⡤⠤⠼⢿⣿⣿⣿⣿⡿⠿⠶⠾⣿⣿⣿⠖⠒⠒⠒⠂⠀⠀⠀⠀⠀⠈⠻⣿⠿⠴⠷⠟⠚⠛⠛⠉⣿⠿⢹⣿⣛⣹⣯⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀
⠶⠶⠶⠄⠀⠀⠐⠛⠒⠒⠒⠒⠚⢻⣿⣟⣿⣛⣉⣉⣉⣿⣿⣋⣩⠉⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣶⣾⣿⣿⣿⣿⠀⠀⠇⠀⢸⡇⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⠀⠀⠀⢀
⣛⣛⣛⡃⠀⠀⠀⣏⣉⣉⣉⣉⣉⣩⣭⣭⣿⣿⣦⠤⢼⣿⠷⠶⠾⠖⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠉⠉⠛⠻⣿⣿⠀⠀⠀⠀⠸⡆⣹⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸
⣭⣭⣭⡅⠀⠀⠀⣽⡤⠤⠤⠤⠴⣶⣖⢲⣿⣾⣟⣒⣿⣿⣉⣉⣉⣉⣁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠛⠛⠛⢛⣛⣛⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸
⣿⣶⠶⠆⠀⠀⠀⣾⣗⣒⣺⣻⣛⣻⣿⣿⣿⣿⣯⣭⣿⣯⣤⣤⣤⣤⣆⡒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣈⣍⠉⢉⠀⣀⠀⠀⢠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠸
⣿⣿⣿⣷⣀⣀⣀⣭⣯⣯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡅⣶⣼⣿⣀⡀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀
⣿⣿⡛⣿⣿⡿⢿⣿⣿⣷⣖⣛⣛⣋⣭⠻⠿⢿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡇⠸⠏⣉⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠸
⡟⢿⠐⣿⣿⣇⠀⣿⣿⠺⠿⠿⠿⠿⠿⠂⠀⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀
⠀⠈⠀⡏⢹⣿⠀⣿⣿⣤⣤⠤⠤⠴⠶⠖⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢸⣿⠀⣿⣿⢸⣷⢸⡇⣿⡇⣿⣧⣿⣻⣷⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀
⠀⣿⠀⡇⣿⡿⠀⢹⣿⠀⠀⠀⢀⡀⠤⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⣿⠀⣿⣿⢸⣿⣿⡇⣿⡇⣿⡇⣻⣿⣦⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⢠⣤
⣿⣏⣠⣥⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⡀⠂⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣾⣿⡸⠿⠶⠿⠿⠸⠇⠿⠇⠻⣷⡿⠋⠿⣿⠿⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⣼⡏
⠛⠛⠛⠋⠛⠛⠛⠿⣿⣿⣿⣿⣿⠿⠿⠿⠟⡛⢛⣛⣿⣯⣿⣿⣄⠀⠀⠀⠀⠀⢀⣀⠀⢀⠀⠀⣶⣇⣠⣤⣶⣶⣿⢟⣛⣛⡻⢟⣛⡻⢷⣚⣛⠀⣒⡐⢀⣀⢀⣀⡀⢀⣀⠀⣀⣀⡀⠀⢘⣛⡻⣿⣿⣿⠀⣀⣿⡃
⠀⠀⣀⣀⣀⣀⣄⣄⣴⣶⣛⢛⣻⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⢠⡿⠀⠀⣀⣠⣤⣿⣿⣿⣿⣿⣿⣿⡘⣿⣿⠃⣿⣿⣿⢸⣿⣻⣷⢿⣿⣿⡏⣿⣿⣇⢸⣿⠀⣿⡟⣿⡇⣿⣿⠿⢸⣿⠿⠿⣿⣿⣛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⡄⠀⠀⠀⠘⠁⠀⠔⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡯⠀⣿⣿⣿⢸⣿⢻⣷⢸⣿⣿⣇⣿⣿⣿⢸⣿⠀⣿⡇⣿⡇⣝⣻⣷⠀⢻⡿⣿⡟⠛⠟
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⡇⣄⠀⠀⠀⠀⠀⠀⠀⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⡀⠻⠿⠟⠸⠿⠸⠿⠈⠿⠿⠺⠿⠹⠿⠾⠿⠿⠿⠿⠿⣃⠻⠿⠟⠀⠊⠁⣐⣬⣤⣦
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣷⡿⠀⠀⠀⠀⠀⠀⢷⣦⣄⣀⣀⠹⣷⣈⠻⢿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⢀⡀⡀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣶⣤⣶⣶⣾⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢘⣿⣿⣿⣿⡿⡿⠇⠀⠀⢀⣀⣀⣠⣼⣿⣿⣿⣿⣿⣾⣷⣿⣟⡙⠋⢿⣿⣿⣿⣷⡀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⢌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣷⣶⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣾⣿⣿⡷⠻⣿⣛⣀⣀⡸⠿⠿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣯⣭⣽⣿⣿⣛⣛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⡿⠿⠟⠛⠀⠀⠀⠀⠉⠉⠉⠙⠛⠛⠻⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠋⠀⠀⠐⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠛⠻⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠉⠉⠉⠉⣶⣶⣶⣾⣿⣩⠝⠛⠿⠿⣿⣿⡿⣋⣵
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠛⠂⠀⣀⣒⣻⡿⢿⣿⣿⣿⣿⣷⣤⣅⣀⣀⣮⣯⣭
[22A⠤⠤⠤⠤⠀⠀⠀⠠⣾⢿⡿⠦⢿⣿⣿⣷⣶⣶⣶⡤⠙⢿⣿⣷⠰⠒⠒⠂⠂⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⠾⣿⣾⣇⣀⣀⣤⣤⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⢰⠘⡿⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀
⠒⠶⠒⠒⠀⠀⠀⠸⠛⠛⠛⠓⣾⣿⣿⣿⣿⣿⣿⣿⣉⣿⣿⣿⣍⣈⣉⣀⡀⠀⠀⠀⠀⠉⠙⢻⣿⣏⣉⣏⣿⣿⣿⣿⠻⣿⣿⣿⣿⡧⣿⢿⣿⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣦
⣋⣉⣉⣉⠀⠀⠀⢈⣯⣭⣭⣭⣭⣿⣿⣿⣿⣿⠭⠤⠤⢽⣿⠿⠇⠄⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣭⣤⣤⣤⣤⣤⠀⠀⡏⠁⢸⡀⣶⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿
⣯⡥⠤⠤⠄⠀⠀⠰⡦⠶⠶⠖⠒⠒⠛⠛⢺⣷⣖⣒⣀⣿⣛⣋⣹⣏⣉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠿⢿⣿⣿⠀⠀⡇⠀⢸⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿
⡿⠖⡒⠒⠂⠀⠀⢘⣛⣉⣛⣉⣉⣉⣉⣭⣽⣯⣿⡧⢼⣿⡧⠤⠴⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠙⠻⠀⠀⠀⠀⠘⠀⣿⣿⣿⡿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿
⣿⣿⣽⣯⡁⠀⠀⢠⣽⡥⠤⠤⡴⠶⠿⣶⣿⣿⣿⣗⣾⣿⣛⣋⣉⣉⣉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠄⠀⠐⠒⠒⠒⠒⠀⢀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿
⣼⣿⣿⣶⡆⠀⠀⠐⣛⢲⠚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣗⠀⣥⢰⣆⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⠈⠀
⣿⣿⣿⠿⣿⣿⡿⣿⣿⣿⣭⡽⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡄⣿⡜⢻⣿⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⢰⣶
⣻⡿⡟⢰⡿⣿⡇⠘⣿⣯⣿⣿⣿⣿⣿⡧⠀⠀⢹⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠃⠀⠐⠚⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀
⡿⠀⠱⢈⡇⣿⡇⠀⣿⣧⣀⣀⣀⣠⣤⣤⠄⣴⣾⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⣿⣿⢸⣷⢸⡇⣿⡇⣿⣧⣿⣻⣷⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀
⡇⢠⣾⢸⡇⣿⡇⠀⣿⡏⠉⠀⠀⢀⣀⡀⠀⠘⣿⣿⣟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢸⣿⠀⣿⣿⢸⣿⣿⡇⣿⡇⣿⡇⣻⣿⣦⠀⠀⢿⣿⣿⣿⣿⣿⠀⠀⢀⣀⠀
⣿⣞⣋⣈⣃⣉⣁⣀⣨⣤⣤⣤⣤⣴⣶⣶⣿⣿⠀⠈⠉⠃⠀⠀⠀⠀⠀⠀⣠⣤⠀⠀⡀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣾⣿⡸⠿⠶⠿⠿⠸⠇⠿⠇⠻⣷⡿⠋⠿⣿⠿⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⢸⡿⠀
⠛⠛⠛⠛⠛⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠂⠀⠀⠀⠀⠀⠠⢤⣶⣿⣿⣿⡆⠀⠀⢀⠠⢠⣴⢀⣀⣤⣴⣶⣾⢟⣛⣛⡻⢟⣛⡻⢷⣚⣃⠐⣒⡀⢀⣀⢀⣀⡀⢀⣀⠀⣀⣀⡀⠘⢛⣛⡻⣿⣿⠀⠀⣿⡇⠀
⠀⠀⢀⣀⣀⣀⣀⣠⣌⡭⠿⠿⠶⣷⣶⣿⣿⣿⡆⡷⣤⣀⣠⣴⣶⣿⣿⣿⣿⣿⣿⠁⠀⠈⣀⣼⣿⣿⣿⣿⣿⣿⣿⡘⣿⣿⠃⣿⣿⣿⢸⣿⣻⣷⢿⣿⣿⡏⣿⣿⣇⢸⣿⠀⣿⡟⣿⡇⣿⣿⠿⢸⣿⠶⢿⣿⣷⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⣯⣽⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠰⠶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡯⠀⣿⣿⣿⢸⣿⢻⣷⢸⣿⣿⣇⣿⣿⣿⢸⣿⠀⣿⡇⣿⡇⣝⣻⣷⠀⢰⣶⡿⠻⣿⡟
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣯⣉⣉⣿⠏⠀⠀⠀⠈⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣟⠀⠻⠿⠟⠸⠿⠸⠿⠈⠿⠿⠺⠿⠹⠿⠾⠿⠿⠿⠿⠿⠃⠻⠿⠟⠀⠈⢈⣃⣸⣯⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⢶⣤⣄⣉⡉⣛⣿⡛⢿⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣦⣤⣶⣶⣿⣷⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⣀⣀⣀⣼⣿⣿⣿⣿⣷⣾⣷⣶⣋⡛⠛⣿⣿⣿⣿⣧⠀⠀⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣦⡄⣹⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣺
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣶⠀⠀⠀⠀⣿⣿⣿⣿⣿⣷⣾⣿⣿⡷⢻⣿⣛⣀⣀⠿⢿⢿⣿⠿⢷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣻⣿⣿⣿⣯⣭⣽⣿⣿⣛⣛⣻
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⡿⠛⠛⠛⠀⠀⠀⠀⡉⠉⠉⠙⠛⠛⠻⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠛⠻⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⡎⠉⠉⠉⣰⣶⣶⣾⣿⣉⠝⠛⠻⠿⢿⣿⡿⣋⣱⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠋⠀⢠⣔⣻⣿⡿⢿⣿⣿⣿⣾⣶⣬⣀⣠⣾⣿⣭⣭
[22A⠒⠓⡒⢒⠒⠀⠀⠀⣓⣾⣾⣶⣛⣿⣿⣿⣟⣻⣭⣉⣛⣿⣿⣯⣉⣉⣉⡁⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠛⠉⠉⠉⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣽⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢀⠀
⣭⣭⣭⣭⣍⠀⠀⠀⣭⡿⠿⠯⢭⣿⣿⣿⣿⣿⣿⣿⡧⢤⣿⣿⡗⠃⠐⠂⠀⠀⠀⠈⠉⠉⠛⢿⣿⣿⠛⡟⣿⢿⣿⣿⣷⣿⣿⣿⣷⣖⣿⣿⣟⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠵⠈⠁⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣸⣟
⠶⠶⠶⠶⠒⠀⠀⠀⢒⡶⢒⠒⠒⠛⣿⣿⣿⣿⣟⣛⣛⣛⣿⣿⣟⣉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⢹⣟⣓⣛⣛⣛⣉⠉⠀⡿⠛⢻⡻⣥⣿⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿
⣿⣟⣟⣛⣋⠀⠀⠀⢨⣉⣉⣉⣉⡭⠽⠿⠯⢽⣯⡤⠤⢴⡿⡿⠐⡖⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⢿⣿⣿⣿⠀⠀⡇⠀⢸⠃⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿
⣿⣿⣭⡤⠤⠀⠀⠀⠸⠦⠶⠶⠒⠒⠒⠒⢒⣾⣟⣿⣛⣿⣟⣉⣉⡏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⠀⠀⠇⠀⠸⠀⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿
⢿⣷⣾⣷⣖⠂⠀⠀⢘⣿⣛⣛⣩⣭⣿⣯⣭⣿⣿⣿⢤⣿⡿⠦⠐⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠭⠭⠭⠭⠄⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣏⠀⠀⠀⣿⣿
⣙⣻⣿⣿⣯⡅⠀⠀⢸⠿⠴⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣦⠀⡂⣤⡄⠀⠀⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⡇⠀⠀⠀⠉⠉
⣿⣿⣿⣿⣿⣷⣶⣶⣾⣿⣿⣚⣿⣿⠟⠿⠿⡿⠿⠿⠿⠿⠿⠟⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⠀⣿⠿⢷⣦⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⣤⣤
⠹⢻⣿⡟⢸⣿⣿⠃⢻⣿⣿⣿⣶⣶⡆⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠂⠉⠐⠚⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠉⠉
⠀⡿⠀⠇⢸⡟⣿⡇⢸⣿⡏⠉⠉⢉⣁⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⣿⣿⢸⣷⢸⡇⣿⡇⣿⣧⣿⣻⣷⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀
⣰⡁⢠⣶⢸⣧⣿⡇⢸⣿⡟⠉⠉⠉⠉⠉⠀⠀⢀⣴⣶⣶⣶⣶⣤⣤⣶⣿⡀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢸⣿⠀⣿⣿⢸⣿⣿⡇⣿⡇⣿⡇⣻⣿⣦⠀⠘⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀
⣿⣷⣼⠏⠘⠈⣋⣁⣀⣉⣁⣠⣤⣬⣭⣥⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⡀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣾⣿⡸⠿⠶⠿⠿⠸⠇⠿⠇⠻⣷⡿⠋⠿⣿⠿⠀⠀⣿⣿⣿⣿⣿⡇⠀⢀⣿⠁⠀
⠛⠛⠛⠛⠛⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⢿⣛⣛⣿⣿⣿⣿⣿⣇⠀⠀⢀⠀⠀⢠⣴⢀⣀⣤⣤⣶⣾⢟⣛⣛⡻⢟⣛⡻⢷⣛⣃⠐⣂⡀⢀⣀⢀⣀⡀⢀⣀⠀⣀⣀⡀⠻⢟⣛⡻⢿⡇⠀⢸⡟⠀⠀
⠀⢀⣀⣀⣀⣀⣠⣤⣨⣭⣭⡽⠿⠿⣶⣶⣶⣾⣷⢸⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⠉⠈⠈⢀⣸⣿⣿⣿⣿⣿⣿⣿⡘⣿⣟⠃⣿⣿⣿⢸⣿⣻⣷⢿⣿⣿⡏⣿⣿⣇⢸⣿⠀⣿⡟⣿⡇⣿⣿⠿⢸⣷⣾⣿⡷⣶⡆
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡯⠀⣿⣿⣿⢸⣿⢻⣷⢸⣿⣿⣇⣿⣿⣿⢸⣿⠀⣿⡇⣿⡇⣝⣻⣷⠀⣰⣾⠿⣿⡿⢟
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣛⣛⣿⠏⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡿⠗⠀⠻⠿⠟⠸⠿⠸⠿⠈⠿⠿⠺⠿⠹⠿⠾⠿⠿⠿⠿⠿⠃⠻⠿⠟⠀⠀⣟⣀⣵⣥⣼
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⢰⣤⣈⠉⠛⢻⡿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⡀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣤⣴⣶⣾⣿⣿⣿⣿⣿⡿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⡿⠀⠀⠀⣀⣀⣀⣨⣿⣿⣿⣿⣶⣽⣧⣿⣛⠿⢿⣿⣿⣿⣿⡄⠀⠈⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣤⢙⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣺⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣶⠆⠀⠀⠀⣿⣿⣿⣿⣿⣿⣾⣿⣿⡷⢻⣿⣛⣀⣀⠿⣿⣿⡿⠿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⣿⣿⣿⣿⣭⣭⣿⣿⣟⣛⣛⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⠿⠛⠛⠛⠀⠀⠀⠀⠈⠉⠉⠉⠛⠛⠛⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠈⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣷⣎⠉⠉⠁⣶⣶⣾⣿⣯⣉⣙⢛⡻⠿⢿⣿⣋⣱⣶⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠁⠀⣤⣾⣟⣿⡿⠿⣿⣿⣿⣷⣦⣤⣀⣶⣿⣿⣽⣧
[22A⠤⣤⡤⣤⡤⠤⠀⠀⠀⠯⣭⣭⡭⢿⣿⣿⣿⢿⠿⠿⠿⢿⣿⣿⡴⠦⠄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⠿⠿⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣀
⠒⠶⠒⠖⠒⠒⠀⠀⠀⣲⣿⣿⣛⣺⣿⣿⣿⣻⣿⣿⣿⣊⣹⣿⣿⣸⡉⡉⠉⠁⠀⠀⠛⠛⠿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡤⣴⣶⡦⣰⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠻⢹⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣾⣿
⣉⣉⣭⣍⣉⣉⠀⠀⠀⣭⣍⣩⣿⣿⣿⣿⣿⣿⣿⡿⠿⠶⢿⣿⣿⡶⠖⠒⠂⠀⠀⠀⠀⠀⠀⠈⢻⡿⠧⠼⠾⠿⠿⠟⠋⣿⡿⢿⠿⣓⣿⣻⣷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⠀⠸⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿
⣶⣶⡶⠶⠤⠦⠀⠀⠀⢚⠒⠾⣿⣿⣿⣿⣿⣟⣿⣛⣋⣁⣸⣿⣏⣩⡉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠷⣶⣶⣾⣿⣿⠀⠀⡇⠀⢸⠃⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿
⣿⣿⣿⣛⣛⣛⠀⠀⠀⢹⣍⣭⣽⣿⣿⣿⢻⡧⣽⢿⣶⢤⣿⡷⠶⢾⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠙⢿⣿⠀⠀⠇⠀⢸⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿
⣽⣿⣿⣭⣭⣤⠄⠀⠀⠸⡶⠶⠖⠒⡻⠀⠈⠃⠀⠘⠟⢹⣿⣯⡉⠭⠥⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⢛⣛⣛⣛⣋⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⠃⠀⠀⢸⣿⣿
⠒⠺⣿⣿⣿⣛⠂⠀⠀⢸⣟⣫⣿⣯⣭⣤⣄⠀⠀⠀⠀⠈⠀⠐⠶⠖⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢩⣭⣄⠀⠄⣀⡀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⠀⠀⠀⠘⠛⠛
⣿⣿⣿⣿⣿⣿⣧⣤⣤⣴⣷⣓⠺⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣷⠀⣷⣿⣧⡄⠸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⢀⣀⣀
⡟⢻⢿⣿⡿⢹⣿⣿⠋⢿⣿⣿⣯⣭⣭⣷⣶⠉⠙⣻⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⠀⠛⠐⠚⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠘⠛⠋
⡇⠀⣾⠁⠇⢸⡿⣿⠀⢸⣿⡟⠛⠛⠉⢉⣉⡀⠀⣼⣿⣿⣿⣶⣶⣶⣶⣆⠀⠀⠀⠀⠹⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⣿⣿⢸⣷⢸⡇⣿⡇⣿⣧⣿⣻⣷⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀
⣧⢀⡇⢠⣤⢸⢡⣿⠀⢸⣿⡟⠛⠛⠉⠉⠉⠁⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠠⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣲⣶⢸⣿⠀⣿⣿⢸⣿⣿⡇⣿⡇⣿⡇⣻⣿⣦⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀
⣿⣿⣧⡸⠏⠸⠘⠛⠀⢈⣛⣁⣀⣀⣠⣬⣭⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⡀⠀⡀⠂⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣿⣿⡸⠿⠶⠿⠿⠸⠇⠿⠇⠻⣷⡿⠋⠿⣿⠿⠀⢸⣿⣿⣿⣿⣿⠀⠀⣾⡇⠀⠀
⠛⠟⠛⠛⠛⠛⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⣿⣿⣿⣿⣿⣷⣄⡀⠀⢀⠀⠀⠀⣤⠂⣀⣀⣤⣴⣶⢟⣛⣛⡿⢟⣛⡻⢷⣚⣃⠐⣂⡀⢀⣀⢀⣀⡀⢀⣀⠀⣀⣀⡈⠿⢟⣛⡻⢿⠀⠀⣿⠃⠀⠀
⠀⠀⣀⣀⣀⣀⣠⣀⣤⣝⣛⣿⢭⡽⢿⣿⣷⣶⣶⡆⣿⣾⣿⣿⣦⣴⣾⣿⣿⣿⣿⠈⠈⠈⢀⣨⣿⣿⣿⣿⣿⣿⣿⡚⣿⣟⠃⣿⣿⣿⢸⣿⣻⣷⢿⣿⣿⡏⣿⣿⣇⢸⣿⠀⣿⡟⣿⡇⣿⣿⠿⢠⣶⣾⣿⣤⡤⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⡇⣿⣯⣿⣿⣿⣿⣿⣿⡿⠟⠁⢀⠴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⡯⠀⣿⣿⣿⢸⣿⢻⣷⢸⣿⣿⣇⣿⣿⣿⢸⣿⠀⣿⡇⣿⡇⣝⣻⣷⠀⣲⣿⣿⣟⣟⣲
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣟⣛⣻⠟⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡿⠗⠀⠻⠿⠟⠸⠿⠸⠿⠈⠿⠿⠻⠿⠹⠿⠾⠿⠿⠿⠿⠿⠃⠻⠿⠟⠀⢸⣂⣼⣽⣀⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣷⡏⠀⠀⠀⠀⠀⢰⣤⣀⠉⠙⢻⡿⣿⣿⣿⣿⣿⣿⣿⣦⡄⠀⠀⠀⢀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣷⣧⣤⣴⣶⣾⣿⣿⣿⣿⣿⠟
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢿⣿⣿⣿⣿⡿⠀⠀⠀⢀⣀⣀⣠⣿⡿⣿⣿⣷⣽⣧⣿⣟⠿⢿⣿⣿⣿⣿⡄⠀⠈⢹⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣦⡄⣻⣿⣿⣿⣿⣿⣿⣿⣷⣶⣞⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⠆⠀⠀⠀⢸⣿⣿⣿⣿⣿⣾⣿⣿⡷⠻⣿⣛⣀⣀⠿⣿⣿⡿⢿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣯⣭⣽⣿⣿⣛⣛⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢻⠿⠛⠙⠙⠀⠀⠀⠀⢠⠈⠉⠉⠉⠛⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠿⠿⠿⣿⣿⣿⣿⣿⣿⣷⡄⠉⠁⢰⣶⣿⣿⣿⣭⣋⣙⢛⡿⠿⣿⣟⣽⣶⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠁⠀⣬⣿⣿⣿⣿⡿⣿⣿⣿⣶⣤⣤⣤⣾⣿⣿⣷⣾
[22A⠒⡒⢒⠒⠒⠒⠂⠀⠀⠀⡷⠶⠿⠷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣒⡒⡒⠒⠒⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣥⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⡀
⣉⣉⣉⣉⣉⣉⣉⠀⠀⠀⣭⣿⣿⣯⣹⣿⣿⣿⣿⣿⣿⣭⠿⣿⣿⡤⠤⠤⠤⠤⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⣉⣀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢠⣶⣷
⡤⠴⠶⠶⠶⠶⠦⠀⠀⠀⠾⠟⠛⠓⢺⣿⣿⡿⢿⣿⣿⣿⣒⣿⣿⣏⣁⣀⣁⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣹⣹⣿⣿⣿⡟⣿⣿⣿⣿⡯⣿⢿⣏⣾⠀⠀⠀⠀⠀⠀⠀⠀⠸⡂⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿
⣏⣹⣿⣛⣛⣉⣋⠀⠀⠀⣩⣭⣭⣭⠩⢽⣿⣷⡿⠋⠩⠭⠭⣽⣿⠿⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣭⣬⣬⣥⣤⡄⠀⠟⠁⢸⡅⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿
⣿⣿⣿⣿⠤⠤⠤⠀⠀⠀⢲⠶⠖⠒⠒⠒⠚⠉⠀⠀⠀⠀⢠⣿⣋⣩⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⣿⣿⡇⠀⠀⠀⢸⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿
⣿⣻⣿⣿⣛⣛⣛⡀⠀⠀⢨⣭⣩⣭⠭⢭⣭⠤⠀⠀⠀⠀⠀⠉⠒⠒⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠇⠀⠀⠀⠈⠀⠿⠿⠿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿
⣿⢭⣭⣿⣿⣯⡿⠄⠀⠀⢸⡷⠒⣶⣒⣞⣛⣻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⣒⡒⠀⡀⠈⠉⠉⢁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⣿⣿⡷⠀⠀⠀⡿⠿⣿
⠿⣲⣶⣾⣿⣿⣿⣆⣀⣀⣨⣭⡯⢿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣏⠀⣦⣿⣇⡀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀
⣿⣿⠿⡿⣿⣿⢛⣿⣿⠟⣿⣿⢿⣞⣛⣛⣯⡝⠛⠻⢿⣿⣷⣦⣤⣄⣀⡀⠀⠀⠀⠀⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⠀⠿⠉⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠨⠿⠿⠿
⣿⣧⠀⣺⠋⠇⢸⡿⣿⠀⢸⣿⠝⠻⠟⠛⠛⠛⠀⢈⣹⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠰⡼⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢸⣿⠀⣿⣿⢸⣷⢸⡇⣿⡇⣿⣧⣿⣻⣷⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀
⣿⣇⠀⡏⢀⣠⢸⠇⣿⠀⢸⣿⠶⠖⠒⠒⠛⠛⠁⠸⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣤⢸⣿⠀⣿⣿⢸⣿⣿⡇⣿⡇⣿⡇⣻⣿⣦⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀
⣿⣿⣾⣧⣸⡟⠸⠘⠛⠀⠘⠛⠀⠀⣀⣐⣒⣂⣤⣤⣽⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡸⠿⠶⠿⠿⠸⠇⠿⠇⠻⣷⡿⠋⠿⣾⠿⠀⣿⣿⣿⣿⣿⡇⠀⢠⣶⠀⠀⠀
⠿⠟⠻⠿⠷⠶⠶⠒⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⣀⠄⠀⢀⣀⣤⣴⢒⣛⣛⡿⢟⣛⡻⢷⣚⣁⠲⣂⡀⢀⣀⢀⣀⡀⢀⣀⠀⣀⣀⡘⠿⢟⣛⡛⠇⠀⢸⡏⠀⠀⠀
⠀⠀⠀⢀⢀⣀⣀⣀⣀⣈⣛⣛⣛⣿⣭⣭⣭⣭⣷⣶⠀⣶⣾⣿⣿⣭⣭⣿⣿⣿⣿⡗⠀⠐⠂⢀⣿⣷⣿⣿⣿⣿⣿⡘⣿⣿⠃⣿⣿⣿⢸⣿⣻⣷⢿⣷⣿⡏⣿⣿⣇⢸⣿⠀⣿⡟⣿⡇⣿⣿⠿⢠⣴⣾⣣⣤⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠐⣺⣻⣿⣿⣿⣿⣿⣿⠟⠋⠀⡤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣯⠀⣿⣿⣿⢸⣿⢻⣷⢸⣿⣿⣇⣿⣿⣿⢸⣿⠀⣿⡇⣿⡇⣝⣻⣷⠀⢹⣿⣷⢻⢆⣴
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠠⣿⣷⣿⣿⠛⢛⡻⠁⠀⠀⠀⠀⠸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡿⠇⠀⠻⠿⠟⠸⠿⠸⠿⠈⠿⠿⠺⠿⠹⠿⠾⠿⠿⠿⠿⠿⠃⠻⠿⠟⠀⠨⢀⣏⣁⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⣤⣀⠉⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠉⠁⠀⠀⠀⣿⣿⣾⣠⣤⣴⣶⣶⣿⣿⣿⣿⡿⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⠃⠀⠀⠀⣀⣀⣀⣻⣿⣿⣿⣷⣭⣧⣬⣟⠿⠿⣿⣿⣿⣿⡀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣦⣤⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣻⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⡆⠀⠀⠀⠀⣿⣿⣿⣿⣿⣶⣿⣿⣷⠚⣿⣟⣀⣀⠿⣿⢿⡿⠿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣽⣿⣿⣟⣛⣛⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡿⠟⠛⠉⠁⠀⠀⠀⠀⡀⠉⠉⠉⠛⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣟
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠿⠿⠿⣿⣿⣿⣿⣿⣿⣧⡀⠉⠁⣴⣶⣿⣿⣯⣍⣉⠛⡻⠿⢿⣿⣫⣷⣾⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠁⢠⣬⣿⣛⣻⣿⠿⣿⣿⣿⣦⣤⣤⣶⣿⣿⣷⣶⣿
[22A⣉⣛⣛⣛⣛⣛⣓⣒⡂⠀⠀⢘⣛⣛⣿⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣛⣛⣛⣛⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠇⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀
⠤⠤⠤⠤⠦⠤⠤⠤⠄⠀⠀⠠⢭⣭⣭⠽⣿⣿⣿⣿⣿⣿⠿⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⡟⡿⠿⠿⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⢀⣪⣪
⣗⠒⠒⣒⣚⣛⣓⣒⡂⠀⠀⢐⣺⣿⣿⣛⣻⣿⣿⣿⣿⣻⣿⣏⣹⣿⡏⠉⠉⠉⠉⠀⠀⠈⠙⠻⢿⣿⣿⡿⠿⢿⣿⣷⣿⣿⣿⣿⣧⡤⢴⣶⣶⢰⡇⠀⠀⠀⠀⠀⠀⠀⢸⠘⠟⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣾⣿⣿
⣽⣿⡧⠭⠭⠭⠭⠤⠤⠀⠀⠨⢥⠤⠤⠤⠿⣿⣿⣿⡿⠟⠙⠓⢿⣿⣷⣒⡒⠂⠀⠀⠀⠀⠀⠀⠈⣿⡿⠇⠒⠛⠚⠛⠛⢹⡿⠛⣿⢏⣹⣩⣿⣾⡇⠀⠀⠀⠀⠀⠀⠀⠈⠆⠀⢻⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿
⣓⣿⣷⣾⣿⣗⣒⣒⣂⠀⠀⢀⣉⣉⣉⣉⣉⣹⡿⠁⠀⠀⠀⠀⣾⡿⠥⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⢿⣿⣿⣿⠀⠸⠀⠀⡇⣼⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡥⠤⠤⠀⠀⠀⠶⠖⠲⠒⠒⠒⠒⠒⡀⠀⠀⠀⠈⠛⢋⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⠀⠀⠀⠀⠇⣸⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿
⣿⣿⣗⠚⣻⣿⣿⣛⣓⠀⠀⠀⣻⣭⣭⣭⣭⡿⣯⣤⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⣀⠀⠀⠀⠬⠭⠭⠭⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿
⢿⣿⣿⣭⣭⣽⣿⣿⣧⠀⠀⠀⠿⢲⢺⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⠄⣐⢰⡆⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⡇⠀⠀⠈⠉⠉⠻
⣿⣿⣦⣾⣿⣿⣿⡿⢿⣿⣿⢿⣿⣿⡭⠿⠿⢟⣻⠿⢿⣿⣷⣄⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠇⠙⠚⠛⠓⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⢠⣤⣴⣦
⣿⣿⣿⡇⠸⣹⠻⡇⢿⢿⡇⠈⣿⡗⠿⠿⠿⠿⠿⠀⠀⢺⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠸⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⢸⣿⠀⣿⣿⢸⣷⢸⡇⣿⡇⣿⣧⣿⣻⣷⠈⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠁
⣿⣿⣿⠃⢰⠏⠀⡁⣼⢸⡇⠀⣿⣧⡤⠤⠤⠴⠶⠆⠠⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣈⢸⣿⠀⣿⣿⢸⣿⣿⡇⣿⡇⣿⡇⣻⣿⣦⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣦⡸⣄⢸⠇⢿⠸⠇⠀⠿⠇⠀⠀⠠⠤⠄⣀⣀⣻⣿⣿⣿⣿⣿⣿⣿⣷⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡸⠿⠶⠿⠿⠸⠇⠿⠇⠻⣷⡿⠋⠿⣾⠿⠀⣿⣿⣿⣿⣿⡇⠀⣠⡄⠀⠀⠀
⠿⠿⠿⠻⠟⠯⠤⠤⠴⢶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⢀⡀⠀⠀⢀⣀⣤⢄⣒⣛⡿⢟⣛⡻⢷⣚⣀⠒⣂⡀⢀⣀⢀⣀⡀⢀⣀⠀⣀⣀⡻⠿⢟⣛⡛⠃⠀⣿⠃⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣙⠿⡿⣿⣛⣛⣛⣿⣭⣭⣭⠅⣥⣖⣶⣾⣍⣭⣿⣿⣿⣿⠁⠀⠀⢀⣸⣷⣶⣿⣿⣿⣿⡘⣿⣿⠃⣿⣿⣿⢸⣿⣻⣷⢿⣷⣿⡏⣿⣿⣇⢸⣿⠀⣿⡟⣿⡇⣿⣿⠿⢀⣤⣿⣀⡀⠀⠀
⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣧⣤⣼⣿⣿⣿⣿⡃⡿⣻⣿⣿⣿⣿⣿⡿⠛⠁⠠⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⠀⣿⣿⣿⢸⣿⢻⣷⢸⣿⣿⣇⣿⣿⣿⢸⣿⠀⣿⡇⣿⡇⣝⣻⣷⠈⢿⣿⡿⡧⣤⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⡿⠛⠋⠀⠀⠀⠀⢀⠿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡿⠟⠀⠻⠿⠟⠸⠿⠸⠿⠈⠿⠿⠻⠿⢹⠿⠼⠿⠿⠿⠿⠿⠃⠻⠿⠟⠀⠀⣈⡑⢸⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⢨⣄⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠐⣾⣷⣗⣀⣠⣤⣶⣾⣿⣿⣿⣿⠿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⠏⠀⠀⠀⠀⣀⣀⣈⣿⣿⣿⣷⣮⣽⣦⣽⡻⠿⣿⣿⣿⣿⡆⠀⠀⢰⣾⣿⣿⣾⣿⣷⣶⣶⣶⣶⣤⣤⠙⣿⣿⣿⣿⣿⣿⣿⣿⣯⢽⣷⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣯⠀⠀⠀⠀⢸⣿⣿⣿⣿⣷⣾⣿⣿⡿⢻⣿⣋⣀⣸⠿⢿⡿⠿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣿⣿⣿⣿⣿⣿⣛⣛⣻⡿⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠟⠛⠉⠉⠀⠀⠀⠀⠀⠀⠉⠉⠉⠙⠛⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣧⠈⠉⢁⣶⣶⣿⣿⣯⣉⡙⢛⡿⠿⣿⣏⣝⣶⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠈⠉⠉⠉⠀⢠⣬⣽⣟⣻⣿⡿⣿⣿⣷⣦⣤⣴⣾⣿⣿⣶⣾⣿
[22A⣒⣒⣒⣒⣞⣒⡒⠒⠒⠀⠀⠀⣗⣲⣾⣗⣒⣾⣿⣷⣿⣿⣿⣿⣿⣿⡟⢛⡛⡛⠻⠂⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠇⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀
⠤⠬⢤⣭⣭⣥⢬⠤⠤⠀⠀⠀⠯⣭⣭⠽⢿⣿⣿⣿⣿⡿⠿⠿⣿⣿⠬⠤⠄⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡟⣿⡿⠿⠿⠿⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣶⣿⣿⣿⣿⣿⣿⠀⠀⠀⢀⣾⣧
⣶⡒⠒⠒⢒⣒⣒⠒⣒⠀⠀⠀⣒⣟⣿⣓⣺⣿⣿⣿⣿⣿⣿⣗⣹⣿⣿⣘⠉⡉⠉⠀⠀⠈⠛⠛⢿⣿⣿⡿⢿⣿⣿⣿⣿⣛⣛⣿⣿⣤⢤⣴⣶⢀⡆⠀⠀⠀⠀⠀⠀⠀⠸⡈⠿⢻⣿⣿⣿⣿⣿⡿⠀⠀⠀⣴⣿⣿
⣯⣿⣿⠭⣭⣭⣭⡭⠭⠀⠀⠀⠭⠥⠤⠤⠽⢿⣿⣿⣿⣿⠿⠟⠾⣿⣿⠖⠒⠒⠀⠀⠀⠀⠀⠀⠀⢻⣿⠧⠼⠾⠿⠟⠛⠹⣿⠟⣿⢿⣺⣋⣿⣾⡇⠀⠀⠀⠀⠀⠀⠀⠈⠡⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿
⠿⢺⣿⣶⣿⣷⣒⣒⣒⠀⠀⠀⣚⣓⣛⣃⣉⣙⣿⣿⣿⡿⠉⠩⢹⣿⠯⢭⠄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠿⣿⣿⣿⠀⠀⡇⠀⣿⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿
⣽⣿⣿⣿⣿⣿⣭⣭⠭⠄⠀⠀⢨⠤⠴⠦⠄⠒⠚⠛⠋⠁⠀⠒⣿⣗⣒⣛⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⣿⠀⠀⠃⠀⠯⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿
⢿⣿⣿⠒⠟⣿⣶⣷⣒⡂⠀⠀⣸⣟⣉⣉⣭⣽⣯⡄⠀⠀⠀⠀⠙⠷⠐⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⣀⣀⡀⠈⠉⠭⠭⠭⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿
⣿⣿⣿⣯⣭⣭⣿⣿⣭⡄⠀⠀⠸⠷⡖⣷⣾⣿⣿⣿⣷⡀⠀⠀⠀⠀⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⠄⢐⣠⣤⠀⠀⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⡇⠀⠀⠈⠉⠉⠻
⣼⣿⣯⣽⣿⣿⣿⣿⠿⣿⣿⢶⣿⣿⣯⠽⠿⠿⢿⠿⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠇⠘⠛⠛⠒⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⡇⠀⠀⢠⣤⣤⣤
⣿⣿⣿⣿⠀⢇⡟⠏⢸⣿⣿⠀⢻⣿⠻⣿⡿⠿⠿⠇⠀⠐⣿⣦⡀⣀⠀⢀⣀⡀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⢸⣿⠀⣿⣿⢸⣷⢸⡇⣿⡇⣿⣧⣿⣻⣷⠀⣿⣿⣿⣿⣿⡇⠀⠀⠈⠁⠀⠉
⣿⣿⣿⡟⠀⡾⠀⢈⢸⠇⣿⠀⢸⣿⣤⠤⠤⠤⠶⠖⠀⣾⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣀⢸⣿⠀⣿⣿⢸⣿⣿⡇⣿⡇⣿⡇⣻⣿⣦⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣧⣀⢇⠐⡿⢸⠰⠿⠀⠸⠿⠀⠀⠀⠤⠤⢀⣀⣘⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡸⠿⠶⠿⠿⠸⠇⠿⠇⠻⣷⡿⠋⠿⣾⠿⠀⣿⣿⣿⣿⣿⡇⠀⢠⡄⠀⠀⠀
⠻⠿⠟⠛⠟⠾⠥⠤⠴⠶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⡀⠀⠀⠀⣀⣠⢄⣐⣒⡿⢟⣛⡻⢷⣚⣁⠒⣀⡀⢀⣀⢀⣀⡀⢀⣀⠀⣀⣀⡙⠿⢟⣛⡛⠇⠀⣾⠇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣘⠿⠿⢿⣟⣛⣛⣛⣯⣭⣭⡍⣭⣥⣾⣶⣏⣩⣿⣿⣿⣿⠁⠀⠀⠀⣸⣧⣶⣾⣿⣿⣿⡘⣿⣿⠃⣿⣿⣿⢸⣿⣻⣷⢿⣷⣿⡏⣿⣿⣇⢸⣿⠀⣿⡟⣿⡇⣿⣿⠿⢀⣤⣿⣀⡀⠀⠀
⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣤⣴⣿⣿⣿⣿⡇⣽⣿⣿⣿⣿⣿⣿⡿⠛⠁⠰⢶⣿⣷⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⠀⣿⣿⣿⢸⣿⢻⣷⢸⣿⣿⣇⣿⣿⣿⢸⣿⠀⣿⡇⣿⡇⣝⣻⣷⠈⢻⣿⡽⡧⢤⣴
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣸⣿⣿⣿⡟⠟⠋⠀⠀⠀⠀⢘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⠟⠀⠻⠿⠟⠸⠿⠸⠿⠈⠿⠿⠻⠿⢹⠿⠼⠿⠿⠿⠿⠿⠃⠻⠿⠟⠀⠄⢨⡟⠙⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⢢⣄⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣦⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠐⣾⣷⣞⣀⣠⣤⣴⣶⣿⣿⣿⣿⡿⢿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢻⣿⣿⣿⠏⠀⠀⠀⠀⢀⣀⣈⣿⣿⣷⣿⣾⣽⣧⣭⠟⠿⣿⣿⣿⣿⡇⠀⠀⢰⣾⣿⣿⣾⣿⣷⣶⣶⣶⣶⣤⣥⠙⣿⣿⣿⣿⣿⣿⣿⣿⣯⠽⣷⣶⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢼⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣷⣾⣿⣿⣿⢟⣿⣛⣀⣸⠿⠿⣿⠿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣿⣿⣿⣿⣿⣟⣛⣛⣻⡿⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠸⠛⠉⠁⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣧⠈⠉⠁⣴⣶⣿⣿⣯⣍⡙⢛⡻⠿⣿⣟⣽⣶⣾⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠈⠉⠉⠉⠀⢠⣬⣽⣟⣿⣿⡿⢿⣿⣷⣦⣤⣴⣶⣿⣿⣶⣾⣿
[22A⠒⠒⠒⡒⣒⠒⢒⠒⠒⠂⠀⠀⢲⡶⣶⣿⠖⣶⣿⣷⢾⣿⣿⣿⣿⣿⡟⠛⠛⠛⠻⠃⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀
⣭⣭⣭⣭⣭⣭⣭⣭⣭⠄⠀⠀⠽⣭⣭⡭⢿⣿⣿⣿⢽⠿⠿⠿⣿⣿⡭⠭⠭⠤⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣻⣿⡿⠿⠿⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣶⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢈⣦
⣶⡖⠒⠒⠚⠒⠒⠒⠒⠂⠀⠀⢒⣟⣻⣛⣚⣿⣿⣿⣛⣾⣿⣷⣚⣿⣷⣀⣉⣉⠀⠀⠀⠀⠛⠛⢿⣿⣿⣿⢿⣿⣿⣿⣿⣟⣛⣿⣿⣤⣤⣤⣴⡄⣶⠀⠀⠀⠀⠀⠀⠀⠰⡆⠻⢻⣿⣿⣿⣿⣿⣿⠀⠀⠀⣴⣿⣿
⣛⣻⣿⣍⣩⣭⣭⣭⠭⠁⠀⠀⠨⠭⠭⠥⠭⢿⣿⣿⢽⣿⡿⠿⠶⣿⣿⡖⠒⠒⠀⠀⠀⠀⠀⠀⠀⠹⣿⠿⠤⠼⠿⠿⠟⠉⣿⠿⢿⣟⣒⣟⣿⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠡⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿
⠿⠷⣿⣷⣶⣷⣖⡒⠒⠂⠀⠀⢐⣒⣚⣓⣖⣛⣿⣿⣙⣹⡏⢉⢩⣿⡯⠭⡥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⢶⣾⣿⣿⡂⠀⡃⠀⢸⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿
⣩⣿⣿⣿⣿⣿⣯⣯⠭⠅⠀⠀⠨⠥⠤⠾⣿⣷⣾⣿⡗⣾⣻⣶⣾⣗⣒⣚⣓⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⡀⠀⠀⠀⠸⢈⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⠀⠀⢠⣿⣿⣿
⢾⣿⣿⡶⠾⢿⣷⣶⣒⡂⠀⠀⢘⣟⣋⣙⣿⣿⣿⣿⣿⣿⣿⣧⣿⠷⠄⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢀⣀⣀⠈⠉⠩⠭⠭⠥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⡗⠀⠀⢸⣿⣿⣿
⢿⣿⣿⣏⣩⣭⣿⣿⣯⡥⠀⠀⠸⠿⡶⢶⣿⣿⣿⡿⣿⣿⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⡤⢀⡀⣤⠀⠀⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⡇⠀⠀⠈⠉⠉⠻
⣴⣿⣧⣵⣿⣿⣿⣿⠿⣿⣷⡶⣾⣿⣯⡭⠿⠿⠛⠀⠀⠁⠀⠀⠙⠿⢯⡝⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠟⠘⠃⠛⠒⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⢠⣤⣤⣤
⣿⣿⣿⣿⡀⠉⡾⢻⠠⡟⣿⡇⢸⣿⡿⢿⣿⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢸⣿⠀⣿⣿⢸⣷⢸⡇⣿⡇⣿⣧⣿⣻⣷⠀⣿⣿⣿⣿⣿⡇⠀⠀⠈⠉⠀⠉
⣿⣿⣿⣿⠃⢸⠃⢈⠀⡇⣿⡇⢸⣿⣤⡤⠤⠤⠴⠶⠀⢠⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⢸⣿⠀⣿⣿⢸⣿⣿⡇⣿⡇⣿⡇⣻⣿⣦⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣀⣼⡀⣿⠀⡇⡿⠇⠸⠿⠀⠀⠀⠠⠤⢀⣀⣈⣻⣿⣷⣄⣀⡀⣠⣤⣦⡀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡸⠿⠶⠿⠿⠸⠇⠿⠇⠻⣷⡿⠋⠿⣾⠿⠀⢿⣿⣿⣿⣿⡇⠀⢠⡄⠀⠀⠀
⠻⠿⠿⠻⠿⠮⠥⠤⠤⠶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡦⠀⠀⠀⠀⡀⠀⠀⠀⢀⣀⢀⣀⣒⡻⢟⣛⡻⢷⣚⣃⠐⣀⡀⢀⣀⢀⣀⡀⢀⣀⠀⣀⣀⡘⠿⢛⣛⡛⠇⠀⣸⡇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣘⠿⠿⢿⣿⣛⣛⣿⣿⣭⣭⡍⢩⣱⣖⣶⣎⣉⣽⣿⣿⣿⠉⠀⠀⢀⢸⣧⣶⣾⣿⣿⣿⡘⣿⣿⠃⣿⣿⣿⢸⣿⣻⣷⢿⣿⣿⡏⣿⣿⣇⢸⣿⠀⣿⡟⣿⡇⣿⣿⠿⢀⣠⣿⣁⡀⠀⠀
⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣧⣴⣿⣿⣿⣿⣇⢸⣹⣿⣽⣿⣿⣿⡿⠋⠁⠰⢲⣿⣷⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⠀⣿⣿⣿⢸⣿⢻⣷⢸⣿⣿⣇⣿⣿⣿⢸⣿⠀⣿⡇⣿⡇⣝⣻⣷⠈⢿⣿⡭⠯⢄⣴
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣷⣿⣿⡿⠛⠋⠀⠀⠀⠀⠸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡿⠟⠀⠻⠿⠟⠸⠿⠸⠿⠈⠿⠿⠻⠿⠹⠿⠼⠿⠿⠿⠿⠿⠃⠻⠿⠟⠀⠀⢈⢋⠁⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣷⣿⣿⣿⠀⠀⠀⠀⠀⠀⢢⣄⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣦⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⣶⣿⣾⣀⣠⣤⣴⣶⣷⣾⣿⣿⡿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⠋⠀⠀⠀⠀⢀⣀⣈⣿⣿⣷⣷⣾⣽⣮⣽⠟⠿⣿⣿⣿⣿⡇⠀⠀⢐⣾⣿⣶⣾⣿⣷⣶⣶⣶⣶⣤⣤⠘⣿⣿⣿⣿⣿⣿⣿⣿⣯⡽⣷⣶⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⡿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣷⣾⣿⣿⡿⠛⣿⣛⣀⡸⠿⠿⣿⠿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣟⣛⣛⣻⡿⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⠛⠉⠁⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠿⠿⠿⣿⣿⣿⣿⣿⣷⡀⠉⠁⣰⣶⣿⣿⣯⣍⡙⢛⡻⠿⢿⣟⣝⣶⣾⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠉⠉⠉⠀⢠⣬⣽⣿⣟⣿⡿⢿⣿⣷⣦⣤⣤⣴⣿⣿⣶⣾⣿
[22A⠒⠒⠒⠒⢒⡒⠒⠒⠒⠂⠀⠀⢰⡲⣶⣿⠒⣲⣿⣿⢺⣿⣿⣿⣿⣿⡟⠛⠛⠛⠻⠃⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀
⢭⣭⣭⣭⣭⣭⣬⠭⢭⠄⠀⠀⠸⢭⣭⡭⢿⣿⣿⣿⢽⡿⠿⠿⣿⣿⡥⠭⠭⠤⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⠿⢟⣻⣿⠿⠿⠿⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣶⣾⣿⣿⣿⣿⣿⠀⠀⠀⠀⢐⣄
⣶⣖⠒⠒⠒⠓⠒⠒⠒⠂⠀⠀⢐⣾⣻⣛⣒⣿⣿⣿⣛⣾⣿⣷⣚⣿⣿⣀⡉⢈⠁⠀⠀⠀⠛⠻⢿⣿⣿⣿⢿⣿⣿⣿⣿⣟⣛⣿⣿⣤⡤⣤⣴⡆⣴⠀⠀⠀⠀⠀⠀⠀⠀⠆⠻⢻⣿⣿⣿⣿⣿⣿⠀⠀⠀⣄⣶⣿
⣛⣻⣿⣏⣩⣭⣭⣭⠭⠅⠀⠀⠨⠭⠭⠤⠭⢿⣿⣿⢽⣿⡿⠿⠶⣿⣿⡖⠒⠒⠂⠀⠀⠀⠀⠀⠀⠹⣿⠷⠤⠾⠧⠿⠛⠋⢿⠿⢻⡟⣓⣟⣻⣶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠡⠀⠸⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿
⠿⣷⣿⣷⣶⣶⣖⡒⠒⠂⠀⠀⢐⣒⣚⣓⣂⣈⣻⣿⣛⣹⣏⠉⢭⣿⡯⠭⡥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⣶⣾⣿⣿⡇⠀⠁⠀⢸⠁⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿
⣉⣿⣿⣿⣿⣿⣯⡭⠭⠅⠀⠀⠨⠥⠤⠤⠤⠀⠐⠒⠒⢺⣟⣷⣾⣗⣒⣚⣛⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⡇⠀⠀⠀⠸⠀⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿
⢾⣿⣿⡖⠞⢻⣷⣗⣒⡒⠀⠀⢐⣿⣋⣉⣩⣭⣿⣭⣭⣿⣿⣿⣿⠷⠄⠐⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢀⣀⣀⠀⠉⠩⠭⠭⠥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿
⢿⣿⣿⣯⣉⣭⣿⢿⣯⣥⠀⠀⠐⠿⡶⢶⣾⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⡤⢀⡀⣤⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⠀⠀⠀⠉⠉⠛
⣤⣿⣿⣥⣿⣿⣿⣿⡿⢿⣿⡶⣾⣿⣯⡭⠿⠿⠿⡿⢿⣿⣿⣿⣿⣿⣯⣽⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡟⠈⠃⠛⠒⠂⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⣤⣤⣤
⣿⣿⣿⣿⠀⠨⡼⢻⠁⡟⣿⡇⢸⣿⡿⢿⣿⡿⠿⠧⠀⠐⢺⣿⣿⣿⣿⣿⣿⡗⠀⠀⠀⣠⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢸⣿⠀⣿⣿⢸⣷⢸⡇⣿⡇⣿⣧⣿⣻⣷⠀⢿⣿⣿⣿⣿⣿⠀⠀⠀⠁⠀⠈
⣿⣿⣿⣿⠀⢰⠃⠀⡀⡇⢹⡇⢸⣿⣧⡤⠤⠤⠴⠶⠢⢿⣿⣿⣿⣿⣿⠿⠿⠁⠀⠀⠀⣼⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⢸⣿⠀⣿⣿⢸⣿⣿⡇⣿⡇⣿⡇⣻⣿⣦⠀⢸⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⡀⡸⡀⣿⠃⡇⡿⠇⠀⠿⠃⠀⠀⠠⠤⠄⠀⠘⠛⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡸⠿⠶⠿⠿⠸⠇⠿⠇⠻⣷⡿⠋⠿⣾⠿⠀⢸⣿⣿⣿⣿⡇⠀⢠⣄⠀⠀⠀
⠛⠿⠿⠿⠿⠣⠥⠤⠤⢴⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢀⡀⠀⠀⠀⢀⣀⢀⣀⣒⡻⢟⣛⡻⢷⣚⣋⠀⣀⡀⢀⣀⢀⣀⡀⢀⣀⠀⣀⣀⡘⠿⢟⣛⡛⠇⠀⣸⡇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣘⠿⠿⢿⣿⣛⣛⣛⣯⣩⣭⣤⠀⠀⠀⠀⡀⣀⣀⣤⣴⣶⠉⠀⠈⣀⣸⣧⣶⣾⣿⣿⣿⡘⣿⣿⠃⣿⣿⣿⢸⣿⣻⣷⢿⣷⣿⡏⣿⣿⣇⢸⣿⠀⣿⡟⣿⡇⣿⣿⠿⢀⣠⣿⣁⡀⠀⠀
⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣧⣤⣾⣿⣿⣿⣿⢰⢮⣟⣯⣿⣿⣿⡿⠋⠁⠰⠺⣿⣷⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⠀⣿⣿⣿⢸⣿⢻⣷⢸⣿⣿⣇⣿⣿⣿⢸⣿⠀⣿⡇⣿⡇⣙⣻⣷⠈⢽⣿⡭⠿⢤⣴
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢨⣥⣾⣿⣿⠛⠋⠀⠀⠀⠀⢘⠿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡿⠟⠀⠻⠿⠟⠸⠿⠸⠿⠈⠿⠿⠹⠿⠹⠿⠼⠿⠿⠿⠿⠿⠃⠻⠿⠟⠀⠀⢈⠉⠀⣷⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢠⣄⡉⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣦⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣿⣾⣁⣠⣤⣴⣶⣿⣿⣿⣿⡿⢿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⠏⠀⠀⠀⠀⢀⣀⣀⣿⣿⣷⣷⣾⣽⣮⣽⠟⠿⣿⣿⣿⣿⡇⠀⠀⠐⣶⣿⣿⣶⣿⣿⣶⣶⣶⣶⣤⣤⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣷⣶⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⡿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣷⣾⣿⣿⡿⠛⣿⣋⣀⡸⠿⠿⡿⠿⣳⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣽⣿⣿⣛⣛⣛⣿⠿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠘⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠻⠿⠿⢿⣿⣿⣿⣿⣇⡀⠉⠁⣰⣶⣿⣿⣯⣝⠉⠛⣛⠿⢿⣟⣽⣲⣾⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠉⠉⠉⠀⢰⣬⣽⣿⣛⣻⣿⠿⣿⣷⣶⣤⣤⣶⣿⣿⣶⣾⣿
[22A⣒⣒⣒⣒⣛⣗⣒⡒⢒⠂⠀⠀⢰⣒⣶⣿⣒⣲⣿⣿⣺⣿⣿⣿⣿⣿⣟⣛⣛⣛⣛⡃⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀
⠤⠤⠤⣤⣤⡤⠤⠤⠤⠄⠀⠀⠸⢭⣭⣭⠽⣿⣿⣿⢽⡿⠿⠿⢿⣿⡄⠄⠄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⢿⡿⠿⠿⠿⠷⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣷⣾⣿⣿⣿⣿⣿⠀⠀⠀⠀⠐⡤
⣿⣖⠒⠒⢒⣛⣒⣒⣒⠂⠀⠀⢐⣺⣻⣿⣚⣿⣿⣿⣟⣿⣿⣿⣋⣿⣿⠍⠉⠉⠉⠁⠀⠀⠛⠿⣿⣿⣿⣿⠿⡿⣿⣿⣿⣟⣛⣿⣿⣧⠤⣴⣶⡆⣴⠀⠀⠀⠀⠀⠀⠀⠀⢇⠹⢻⣿⣿⣿⣿⣿⣿⠀⠀⠀⣠⣷⣿
⣿⣿⣿⡧⢭⠭⡭⠭⠭⠅⠀⠀⠨⠥⠤⠤⠬⠿⣿⣿⣾⣿⡿⠟⠓⢿⣿⡗⡒⠒⠒⠀⠀⠀⠀⠀⠈⢻⣿⠷⠴⠟⠓⠛⠛⠋⢻⠟⢻⡿⣋⣟⣽⣷⣻⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠈⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿
⠟⢿⣿⣷⣾⣿⣖⣒⣒⡂⠀⠀⢀⣉⣉⣉⣉⣉⣻⣿⡏⢩⡯⠭⢤⣿⠯⠥⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⣿⣿⣿⣿⡇⠀⠀⠀⢸⠃⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿
⣉⣿⣿⣿⣿⣿⣿⠭⠤⠤⠀⠀⠀⠧⠒⠒⠒⠒⠒⠒⣒⣺⣟⣷⣾⣟⡛⢙⠍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⡇⠀⠀⠀⠸⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿
⠾⣿⣿⡗⢚⣻⣷⣗⣖⣓⠀⠀⠈⣿⣍⣭⣭⣭⠿⢦⣤⣿⣿⣿⣿⠷⠒⠒⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠤⠭⠭⠭⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿
⠿⢿⣽⣯⣭⣭⡿⣿⣯⣧⠀⠀⠀⠿⣶⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⡶⢀⡂⣴⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⠀⠀⠀⠉⠈⠛
⣶⣿⣿⣦⣿⣿⣿⣿⡿⢿⣿⡿⢿⣿⣿⡬⠿⠿⢛⣛⠿⢿⣿⣿⣿⣿⣿⣭⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡟⠈⠗⠛⠛⠃⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⣦⣶⣦
⣿⣿⣿⣿⡇⠸⣼⠻⠁⣿⣿⡇⠸⣿⡟⠿⠿⠿⠿⠿⠀⠀⢺⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢸⣿⠀⣿⣿⢸⣷⢸⡇⣿⡇⣿⣧⣿⣻⣷⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⠀⢰⠃⢀⡀⡇⢸⡇⠀⣿⣧⠤⠤⠤⠶⠶⠂⢸⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⢸⣿⠀⣿⣿⢸⣿⣿⡇⣿⡇⣿⡇⣻⣿⣦⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣀⡼⡄⢺⠃⡇⠿⠇⠀⠿⠃⠀⠀⠠⢄⣀⣀⣀⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡸⠿⠶⠿⠿⠸⠇⠿⠇⠻⣷⡿⠋⠿⣾⠿⠀⢸⣿⣿⣿⣿⣿⠀⢠⣤⠀⠀⠀
⠛⠿⠿⠛⠛⠃⠠⠤⠶⢶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⢀⣀⢀⣀⣒⡺⢟⣛⡻⢷⣚⣛⠁⣀⡀⢀⣀⢀⣀⡀⢀⣀⠀⣀⣀⡘⠿⢟⣛⡛⠏⠀⢸⡇⠀⠀⠀
⠀⠀⠀⢀⢀⣀⣀⣀⣀⣀⣝⠻⢿⣿⣛⣛⣻⣿⣭⣭⣭⣭⢠⣴⣶⣶⣮⡉⠀⠀⠀⠀⠈⠀⢈⣀⢜⣷⣶⣾⣿⣿⣿⡜⣿⣿⠃⣿⣿⣿⢸⣿⣻⣷⢿⣷⣿⡏⣿⣿⣇⢸⣿⠀⣿⡟⣿⡇⣿⣿⠿⢀⣤⣿⣅⣀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⢸⣾⣿⣿⣿⣿⣤⠀⠀⠀⠐⠺⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⠀⣿⣿⣿⢸⣿⢻⣷⢸⣿⣿⣇⣿⣿⣿⢸⣿⠀⣿⡇⣿⡇⣝⣻⣷⠈⢹⣿⣿⠿⢤⣴
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣻⡏⠀⠀⠀⠀⢠⠛⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⠟⠀⠻⠿⠟⠸⠿⠸⠿⠈⠿⠿⠻⠿⠹⠿⠼⠿⠿⠿⠿⠿⠃⠻⠿⠟⠀⠀⢀⣍⣀⣷⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠸⣤⣈⠙⠛⠻⠿⣿⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣞⣀⣤⣤⣶⣶⣿⣿⣿⣿⡿⢿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢘⣿⣿⣿⣿⠇⠀⠀⠀⣀⣀⣀⣿⡿⣿⣿⣾⣭⣧⣭⣟⠿⢿⣿⣿⣿⣇⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣤⡌⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⣿⣿⣿⠁⠀⠀⠀⠀⢿⣿⣿⣿⣿⣶⣿⣿⡷⠚⣿⣋⣀⣸⣿⠿⠿⣿⣻⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣭⣽⣿⣿⣛⣛⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠓⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠛⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣟⣻
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠿⠿⣿⣿⣿⣿⣿⡄⠀⠀⣸⣿⣿⣿⣯⣼⡉⠙⢛⠻⠿⢟⣥⣶⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠉⠁⠀⢰⣾⣭⣽⣿⣛⣿⡿⠿⣿⣶⣤⣤⣿⣿⣶⣶⣾⣿
[22A⠭⠭⠭⠭⢭⣭⠩⡍⠉⠁⠀⠀⢸⣭⣽⣿⣭⣭⣿⣿⣽⣿⣿⣿⣿⣿⡯⠩⠭⠭⠉⠇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡟⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀
⡒⠒⠲⠶⠶⡖⠒⠒⠒⠂⠀⠀⠐⢳⣶⣶⠚⣿⣿⣿⣾⣟⣛⣛⢻⣿⣖⡒⣒⣀⣀⣀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣹⡟⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⢼⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠐⣄
⣿⣯⣉⣉⣉⣉⣉⣍⣉⡁⠀⠀⢨⣽⠽⠯⠭⣽⣿⣿⣯⣿⣿⣿⡧⣿⣿⠄⠀⠀⠀⠀⠀⠀⠿⠿⣿⣿⣿⣿⠛⡟⣿⣿⣿⣯⣭⣿⣿⣷⡒⣾⣿⡗⣼⠀⠀⠀⠀⠀⠀⠀⠀⣣⠘⠉⣿⣿⣿⣿⣿⣿⠁⠀⠀⣰⣿⣿
⣭⣽⣿⡷⠲⣶⠶⠖⠒⠂⠀⠀⠐⣒⣒⣒⣒⣛⣿⣿⣿⣿⣟⣛⣉⣻⣿⣏⡉⠉⠉⠁⠀⠀⠀⠀⠈⢻⣿⣛⣒⣛⣛⣉⡉⠁⢹⡟⢸⡟⣥⣯⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿
⣟⣙⣛⣿⣽⣿⣯⣭⣭⡍⠀⠀⠠⡭⠭⠭⠤⠤⠽⠿⠥⠤⣷⡀⢲⣿⡓⣒⣖⠂⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⢿⣿⣿⣿⡇⠀⠐⠀⢸⠃⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿
⠤⣾⣿⠿⢿⣿⡿⠶⠒⠒⠀⠀⠀⣖⣒⣒⣊⣉⣉⣉⡉⣹⣯⣿⣽⡯⠭⠭⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⡇⠀⠘⠀⠘⠀⣿⣿⣿⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿
⣛⣿⣿⣏⣛⣽⣿⣽⣭⡭⠀⠀⠀⣽⠤⠤⢶⣶⣿⣷⣶⣿⣿⣿⣿⣛⣋⣉⣉⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠀⠀⠀⠐⠒⠒⠂⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿
⠛⣻⣿⠿⣶⣶⣟⣻⣷⣶⣀⣀⢀⣛⣻⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣗⠀⣅⣶⡆⡀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠉
⢶⣿⣿⣶⡿⢿⣿⣿⡟⣻⣿⡟⢻⣿⡿⣖⣛⣛⣋⣿⠛⠿⢿⣿⣿⣿⣷⣶⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡿⠀⠿⠉⠙⠃⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠶⠶⠶
⣿⣿⣿⣿⡇⠘⡼⠙⡇⢿⢿⡇⠀⣿⡏⠛⠛⠛⠛⠛⠀⠀⣹⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢸⣿⠀⣿⣿⢸⣷⢸⡇⣿⡇⣿⣧⣿⣻⣷⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⠀⢀⠃⢀⡅⣿⢸⡇⠀⣿⡷⠖⠒⠒⠛⠛⠁⢸⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⢸⣿⠀⣿⣿⢸⣿⣿⡇⣿⡇⣿⡇⣻⣿⣦⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣄⠜⠦⠸⠃⠛⠛⠃⠀⠛⣃⣀⣀⣐⣒⣀⣤⣤⣽⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡸⠿⠶⠿⠿⠸⠇⠿⠇⠻⣷⡿⠋⠿⣾⠿⠀⢸⣿⣿⣿⣿⣿⠀⢰⣶⠀⠀⠀
⠛⠛⠛⠛⠉⠁⠐⠒⠚⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⢀⣄⠀⠀⠀⠀⣤⠀⠀⢀⣀⣤⢄⣐⣒⡻⢟⣛⡻⢷⣚⣛⠛⣀⡀⢀⣀⢀⣀⡀⢀⣀⠀⣀⣀⡈⠿⢟⣛⡛⠏⠀⢸⡏⠀⠀⠀
⠀⣀⣀⣀⣀⣤⣤⣤⣤⣤⣝⡛⣛⣿⣯⡭⠽⢿⣷⣶⣶⣿⣲⡄⠋⠁⠀⠀⠀⠀⣾⣿⡇⠀⢀⣀⣤⣿⣾⣿⣿⣿⣿⡘⣿⣿⠃⣿⣿⣿⢸⣿⣻⣷⢿⣷⣿⡏⣿⣿⣇⢸⣿⠀⣿⡟⣿⡇⣿⣿⠿⢠⣴⣿⣧⣤⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⣿⣀⠀⠀⠀⣰⡿⠛⠁⢀⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⠀⣿⣿⣿⢸⣿⢻⣷⢸⣿⣿⣇⣿⣿⣿⢸⣿⠀⣿⡇⣿⡇⣙⣻⣷⠀⠺⠿⣿⠛⡲⣾
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠠⣾⣿⣿⣿⣉⠉⠀⠀⠀⠀⠀⠝⢿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⠀⠻⠿⠟⠸⠿⠸⠿⠈⠿⠿⠻⠿⠹⠿⠼⠿⠿⠿⠿⠿⠃⠻⠿⠟⠀⣀⣠⣥⣄⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠐⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⣶⣤⣈⣉⢙⣛⡿⣿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⣀⣀⠀⣀⣀⡀⠀⠀⠀⠀⠀⢹⣿⣾⣤⣴⣶⣾⣿⣿⣿⣿⣿⢟⣻
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡎⣿⣿⣿⣿⠃⠀⠀⠀⢠⣤⣤⣽⣿⠿⣿⣿⣶⣷⣶⣏⠛⢻⣿⣿⣿⣧⣀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⠀⠀⠀⠀⠸⠿⢿⣿⣿⣿⣿⣿⣟⣉⣿⣥⣤⣼⣛⣛⣟⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣭⣭⣽⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠃⠁⠀⠀⠈⠀⠀⠀⠀⠠⠀⠀⠀⠀⠈⠉⠉⠙⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⠿⢿⠿⠿⠛⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢟⣿⣽
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠛⠻⠿⠿⢿⣿⣿⠆⠀⠀⣸⣿⣿⣿⣷⣾⣥⣉⠭⠙⠛⣫⣶⢿⠿⢿⣿
⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣄⣀⠀⠀⠀⠀⢀⣿⣶⣾⣯⣽⣿⡛⠻⠿⢿⣶⣶⣿⣿⣿⣿⣿⣿
[22A⠤⠤⠤⠤⠭⠯⠭⠭⠭⠄⠀⠀⢸⡭⠿⢿⠭⢽⣿⣿⢽⣿⣿⣿⣿⣿⠯⠭⠥⠤⠭⠅⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⣸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀
⣒⣒⠒⠛⠒⣗⣒⣒⣒⠂⠀⠀⢘⣲⣶⣶⣚⣿⣿⣿⣺⣛⣋⣛⣻⣿⣆⣀⣁⣀⠀⡀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⡟⠛⠛⠉⠉⢀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⣀⣰
⣿⣯⣍⠭⠭⡭⠭⠭⠭⠅⠀⠀⠨⠼⠿⠿⠤⣽⣿⣿⢧⣿⣿⣿⡃⣿⣿⡒⠒⠒⠂⠀⠀⠀⠛⠛⢿⣿⣿⣟⠛⡟⣿⣿⣿⡿⣶⣿⣿⣷⣖⣿⣿⣇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠥⠈⠉⣿⣿⣿⣿⣿⣿⠀⠀⠀⣼⣿⣿
⣶⣿⣿⡗⢒⣒⣒⣒⣒⡂⠀⠀⢀⣒⣒⣒⣈⣙⣿⣿⣿⣿⣟⠋⠉⣿⣿⠯⠭⠭⠈⠀⠀⠀⠀⠀⠀⠹⣿⣏⣉⣉⣉⣩⡍⠁⠛⠏⢸⡟⣧⣷⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿
⣽⣍⣿⣿⣿⣿⣯⡭⠭⠅⠀⠀⠠⠤⠤⠤⠤⠀⠚⠛⠓⢲⣗⣒⣺⣟⣓⣀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⢿⣿⣿⡇⠀⠐⠀⢸⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿
⡶⣶⣿⠛⢿⣿⣷⣒⣒⣒⠀⠀⢀⣋⣉⣉⣉⣉⡭⠭⠭⣽⣿⣿⣿⡧⠀⠰⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠇⠀⠐⠀⠈⠀⣿⡿⠿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿
⣛⣻⣿⣯⠭⢽⣿⣯⠭⠦⠀⠀⠀⣿⠖⣲⣶⣒⣛⣻⣾⣿⣿⣿⣿⣏⣉⣭⣭⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣒⠒⠒⠀⠀⠀⠉⢉⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⡿⠿⣿
⠛⣛⣿⠗⣖⣒⣿⣿⣿⣿⣀⣀⣀⣭⡭⠽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣟⠀⡤⣿⣆⡀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠈
⣿⣿⣿⣿⡿⢻⢿⣿⡏⣿⣿⡟⢻⣿⡿⣿⣛⣿⣭⣍⠛⠛⣿⣿⣿⣿⣿⡷⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡿⠀⠟⠉⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠿⠿⠿
⣿⣿⣿⣿⠇⢘⡾⠘⡀⣿⢿⡇⠈⣿⡏⠛⠛⠛⠛⠛⣤⡀⠉⠿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⣿⣿⢸⣷⢸⡇⣿⡇⣿⣧⣿⣻⣷⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⠀⢸⠁⢠⡆⡏⣸⡇⠀⣿⡗⠒⠚⠛⠁⠀⠉⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣶⢸⣿⠀⣿⣿⢸⣿⣿⡇⣿⡇⣿⡇⣻⣿⣦⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣦⠞⠦⠸⠁⠃⠛⠃⣀⣛⣁⣀⣀⣠⣬⡄⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣼⣿⡸⠿⠶⠿⠿⠸⠇⠿⠇⠻⣷⡿⠋⠿⣾⠿⠀⢸⣿⣿⣿⣿⣿⠀⢰⣶⠀⠀⠀
⠙⠛⠉⠉⠉⠑⠒⠛⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠀⠀⢤⢴⣶⣿⣿⣿⣿⣿⣧⢀⠀⢀⡀⠀⣤⠀⣀⣠⣤⣴⢞⣛⣛⡻⢟⣛⡻⢷⣚⣛⠒⣀⡀⢀⣀⢀⣀⡀⢀⣀⠀⣀⣀⡈⠿⢟⣛⡛⠇⠀⣸⡇⠀⠀⠀
⣀⣀⣀⣠⣤⣤⣤⣤⣤⣤⣝⡛⣿⣯⣭⡿⠿⢿⣷⣶⣿⣷⢀⣾⣿⣿⣷⣶⣾⣿⣿⣿⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⡘⣿⣿⠃⣿⣿⣿⢸⣿⣻⣷⢿⣿⣿⡏⣿⣿⣇⢸⣿⠀⣿⡟⣿⡇⣿⣿⠿⢠⣶⣿⣧⣤⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⡿⠛⠁⠠⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⠀⣿⣿⣿⢸⣿⢻⣷⢸⣿⣿⣇⣿⣿⣿⢸⣿⠀⣿⡇⣿⡇⣝⣻⣷⠀⠺⠿⣿⠛⣲⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣭⡍⠀⠀⠀⠀⠀⡊⠿⣿⣿⣿⣿⣿⣿⣿⣧⡿⢟⡀⠻⠿⠟⠸⠿⠸⠿⠈⠿⠿⠹⠿⠹⠿⠾⠿⠿⠿⠿⠿⠃⠻⠿⠟⢀⣠⣬⣧⣤⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡠⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠘⣶⣤⣄⣉⠹⣟⡿⣿⣿⣿⣿⣿⣿⣶⡀⠀⠀⢀⣀⣀⣀⣀⣤⣀⣀⡀⠀⠀⠀⠀⢱⣿⣶⣴⣶⣶⣿⣿⡿⠿⢿⣿⣛⣻
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠔⣿⣿⣿⣿⠃⠀⠀⠀⣤⣤⣶⣿⣟⡿⣿⣿⡾⣷⣷⡭⠛⢿⣿⣿⣿⣧⣄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⠀⠀⠀⠀⠛⠿⠿⢿⣿⣿⣿⣿⣟⣙⣿⣷⣦⣼⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣶⣶⣿⣿⣿⣭⣽⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⠿⠿⠿⢟⣋⣛⣻⣿⢿⣿⣿⣿⣿⣿⣿⡿⣟⣛⣯⣽
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠛⠛⠿⠿⠿⠿⠄⠀⠀⣼⣿⣿⣿⣿⣶⣦⣔⡉⠉⠛⣻⣶⣿⣟⢿⣿
⢿⠿⠿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⣀⠀⠀⠀⠀⢸⣿⣿⣷⣾⣯⣽⠟⠛⠻⡿⡿⣾⣿⣿⣿⣿⣿⣿
[22A⠲⠰⠶⠶⠶⠦⠰⠀⠄⠀⠀⠀⢸⡶⠿⠿⣶⣿⣿⣿⢾⣿⣿⣿⣿⣿⠃⠀⠒⠀⠈⠂⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣏⣼⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀
⣛⣛⣛⣛⣛⣟⣛⣛⣛⡁⠀⠀⢈⣹⣿⣿⣉⣿⣿⣿⣹⣩⣭⣝⢿⣿⡍⠩⠭⠭⠤⠇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣶⣮⣽⣼⠋⠉⢉⣉⡉⣀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣊⣦
⣿⣷⣤⠤⠤⠤⠤⠦⠤⠄⠀⠀⠰⠾⠚⠓⠲⣿⣿⣿⢺⣿⣿⣿⣒⣿⣿⣒⣀⣀⣀⠀⠀⠀⠈⠉⠻⢿⣿⣟⢙⣻⣟⣿⣿⡷⣶⣿⣿⣿⣍⣿⣿⣧⣿⠀⠀⠀⠀⠀⠀⠀⠀⢇⠈⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿
⣶⣿⣿⣇⣛⣿⣻⣛⣉⡁⠀⠀⢈⣍⣩⣭⠉⠹⣿⣿⣽⢿⡯⠭⢭⣿⡿⠥⠄⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣭⣭⣭⣥⣤⡄⠀⡟⠉⢸⠃⣶⣷⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿
⠽⠭⣿⣿⣿⣿⡧⠤⠤⠄⠀⠀⢰⣶⣶⣖⠒⠒⣚⣛⣒⣺⣧⣀⣽⣿⣉⣭⡭⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⢿⣿⡇⠀⠀⠀⢸⠀⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿
⣒⣲⣿⣛⣿⣿⣟⣟⣋⣃⠀⠀⠸⣿⣿⣿⣭⣭⣤⠤⢤⣿⣾⡟⣿⣗⠒⣒⣒⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠃⠀⠀⠀⠈⠀⠿⠿⠿⠿⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿
⣿⣿⣿⡯⠥⢿⣷⣷⠶⠆⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣥⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠈⡉⠉⠉⠁⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⠀⠀⠀⠿⠿⣿
⠙⣿⡿⢿⣟⣿⣿⣿⣿⣿⣤⣀⣠⣭⡿⠽⡿⠃⠈⠃⠉⠛⠿⠟⠿⠿⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣯⢰⡆⣿⣤⡀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⡀
⣿⣿⣿⣿⠙⠻⢻⣿⠏⣿⣿⡏⢻⣿⣿⣯⣥⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡿⠀⠛⠀⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠛⠛⠿
⣿⣿⣿⣿⠆⢀⡏⠸⠀⡇⢿⡇⢸⣿⡟⠛⠛⠉⢉⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⣿⣿⢸⣷⢸⡇⣿⡇⣿⣧⣿⣻⣷⠀⢹⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀
⣿⣿⣏⣿⠀⢸⠀⣤⡄⡇⣼⡇⠸⣿⡟⠋⠉⠉⠉⠉⠀⢸⣿⣿⣶⣶⣤⣶⣶⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⢸⣿⠀⣿⣿⢸⣿⣿⡇⣿⡇⣿⡇⣻⣿⣦⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣦⠋⠆⠛⠀⣃⣋⣁⣀⣉⣀⣠⣤⣬⣭⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣶⣿⣿⡸⠿⠶⠿⠿⠸⠇⠿⠇⠻⣷⡿⠋⠿⣾⠿⠀⢸⣿⣿⣿⣿⡇⠀⢸⡗⠀⠀⠀
⠋⠙⠉⠉⠉⠉⠉⠉⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⣿⣛⣛⣿⠿⢿⣿⡅⠀⠠⠀⠠⠀⢠⣦⣀⣤⣴⣶⣿⢟⣛⣛⡛⢛⣛⡻⢗⣒⣐⠒⣀⡀⢀⣀⢀⣀⡀⢀⣀⠀⣀⣀⡘⠿⢟⣛⡛⠇⠀⣾⠇⠀⠀⠀
⣀⣀⣤⣤⣤⣤⣤⣤⣤⣶⣍⣉⣭⣿⣿⡟⢓⣻⣿⣿⣿⣷⢸⣿⣿⣿⣷⣶⣿⣿⣿⣷⠄⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⡘⣿⣿⠃⣿⣿⣿⢸⣿⣻⣷⢿⣷⣿⡏⣿⣿⣇⢸⣿⠀⣿⡟⣿⡇⣿⣿⠿⠰⢿⣿⣶⣶⠀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⡿⠋⠀⠐⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⠀⣿⣿⣿⢸⣿⢻⣷⢸⣿⣿⣇⣿⣿⣿⢸⣿⠀⣿⡇⣿⡇⣝⣻⣷⠀⠛⠻⡯⠯⣽⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣤⠄⠀⠀⠀⠀⠀⠙⠿⢿⣿⣿⣿⣿⣿⣿⣧⡿⠟⠀⠻⠿⠟⠸⠿⠸⠿⠈⠿⠿⠻⠿⠹⠿⠾⠿⠿⠿⠿⠿⠃⠻⠿⠟⠀⣤⣴⣶⣦⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⢸⣷⣦⣤⣈⢽⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⢀⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⡀⠀⢻⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣯⣽
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⠃⠀⠀⠀⣴⣶⣶⣿⣟⣿⣿⣿⢿⣾⣯⠝⢿⣿⣿⣿⣿⣷⣀⣀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣿⣿⣿⠿⣿⣿⣿⣿⣿⣧⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡿⠿⠿⣿⠀⠀⠀⠀⠛⠛⠿⠿⠿⣿⣿⣯⣋⣋⣿⣶⣶⣿⣽⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣣⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⠻⠛⢋⣩⣭⣿⡿⢿⠿⣿⣿⣿⣿⣿⢟⣛⣯⣷⣾
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠿⠿⠿⠂⢀⡠⠾⣿⣿⣿⣿⣿⣶⣤⣒⠉⠉⣕⣿⣿⣛⣻⣿
⠿⠿⠿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣦⣤⣄⡀⠀⠀⠀⢸⣿⣿⣿⣷⣶⣯⠭⠛⢛⣿⣿⡿⣿⣿⣿⣿⣿⣿
[22A⠒⠒⣒⣒⢺⡒⢒⠒⠒⠀⠀⠀⣻⠟⢛⡻⣿⣿⣿⣗⣿⣿⣿⣿⣿⣟⣒⣒⣒⣒⣀⡀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⡿⢿⡿⣿⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⣤⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⡀⠀
⣭⣭⠭⣭⣭⣭⣭⠭⠭⠀⠀⠀⠭⣽⣿⣿⣽⣿⣿⣿⢯⣥⣦⡭⢿⣿⡤⠠⠀⠂⠐⠆⠀⠸⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣉⣁⣠⣠⡀⡄⠀⠀⠀⠀⠀⠀⠀⢰⡄⣿⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣰⣿⣊
⢿⣷⣒⠒⠒⣒⢒⡒⠒⠀⠀⠀⠒⣛⣻⣿⣿⣿⣿⣿⣻⣿⣿⣿⣹⣿⣯⣉⠈⠍⠀⠀⠀⠀⠀⠀⠙⢿⣿⣯⣸⣹⣿⣿⣿⠿⣿⡿⣿⣿⢼⡿⣿⣽⡇⠀⠀⠀⠀⠀⠀⠀⠐⢣⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿
⣿⣿⣿⣍⣭⣭⣽⡭⠭⠀⠀⠀⠤⠯⢿⣿⣿⣿⣿⣿⠾⢿⠒⠒⢺⣿⡛⢒⡒⠂⠀⠀⠀⠀⠀⠀⠀⠈⣿⣦⣦⣶⣶⣶⠀⠀⡟⠀⢿⢹⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡟⠀⠀⢰⣿⣿⣿
⠞⠒⣿⣿⣿⣿⣖⣒⣒⠂⠀⠀⢺⣒⣛⣿⣿⣿⣿⡏⠉⣿⣯⡭⣿⡯⠤⢼⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠿⣿⠀⠀⡇⠀⢹⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿
⣍⣽⣯⣽⣿⣿⣿⣭⢭⠅⠀⠀⢸⡤⠤⠶⠚⠛⠛⠀⠀⠙⢿⣿⣿⣏⣉⣉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠈⠘⠛⠛⣛⣛⣃⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿
⣿⣿⢿⡖⠒⢿⣿⣿⣾⡃⠀⠀⢸⣟⣭⣭⣭⣤⣄⠀⠀⠀⠀⠈⠙⢶⡶⠶⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣩⣭⡁⠠⠀⣀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⡇⠀⠀⠘⠛⠛⢿
⣩⣿⣟⣻⣿⣿⣿⣿⣿⣷⣤⣤⣴⣶⣓⣻⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣷⢸⡿⣿⣤⠀⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⢀⣀⣀⣀
⣿⣿⣿⣿⠉⠟⣿⣿⢨⣿⣿⠉⢻⣿⣻⣿⣷⣶⣶⡎⠉⠁⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⠟⠈⠁⠂⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠘⠋⠉⠛
⣿⣿⣿⣿⠆⢰⠇⠸⠈⡇⣿⠀⢸⣿⡉⢉⣉⣉⣩⣄⠀⣰⣿⣿⣷⣶⣶⣶⣆⠀⠀⠀⠀⡄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡈⢸⣿⠀⣿⣿⢸⣷⢸⡇⣿⡇⣿⣧⣿⣻⣷⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀
⣿⣿⣿⡇⠀⣼⠀⣶⢰⡇⣿⠀⢸⣿⠉⠉⠉⠀⣀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⢸⣿⠀⣿⣿⢸⣿⣿⡇⣿⡇⣿⡇⣻⣿⣦⠀⣿⣿⣿⣿⣿⡇⠀⢀⡀⠀⠀⠀
⣿⣿⣿⣷⣖⢙⣂⣋⣀⣁⣉⣠⣤⣥⣤⣤⣤⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⢀⣤⣴⣶⣾⣿⣿⣿⡸⠿⠶⠿⠿⠸⠇⠿⠇⠻⣷⡿⠋⠿⣾⠿⠀⢸⣿⣿⣿⣿⡇⠀⣼⡇⠀⠀⠀
⠉⠉⠉⠉⠀⠉⠉⠉⠉⢿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣟⡛⢛⣻⣿⣿⡿⠿⢻⣷⣤⣀⠀⠀⠐⠀⣰⣦⣴⣶⣿⣿⣿⢟⣛⣛⡛⢛⣛⡛⢓⣀⣒⠀⣀⡀⢀⣀⢀⣀⡀⢀⣀⠀⣀⣀⡘⠿⢟⣛⡛⠁⣀⣿⠁⠀⠀⠀
⣠⣤⣤⣤⣤⣴⣶⣶⣶⣶⣍⣹⣿⣶⣶⣛⣛⣿⣿⣿⣿⣗⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⡘⣿⣿⠃⣿⣿⣿⢸⣿⣻⣷⢿⣿⣿⡏⣿⣿⣇⢸⣿⠀⣿⡟⣿⡇⣿⣿⠿⠘⣿⣿⣿⣇⣀⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⠟⠁⠀⠈⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣿⣿⠀⣿⣿⣿⢸⣿⢻⣷⢸⣿⣿⣇⣿⣿⣿⢸⣿⠀⣿⡇⣿⡇⣝⣻⣷⠀⠛⢻⡷⢷⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣶⠂⠀⠀⠀⠀⡘⠙⠻⣿⣿⣿⣿⣿⣿⣿⣧⡿⠟⠀⠻⠿⠟⠸⠿⠸⠿⠈⠿⠿⠻⠿⠹⠿⠾⠿⠿⠿⠿⠿⠃⠻⠿⢟⣀⣶⣾⣷⣾⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⢻⣷⣦⣄⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⢤⣤⣦⣤⣴⣶⣦⣤⣤⣤⣄⣀⣀⠻⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣯⣴⣾
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⠁⠀⠀⠀⣶⣾⣿⣿⣿⣿⣿⣿⣿⣯⡏⠻⣿⣿⣿⣿⣧⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠶⣿⣿⣿⣿⣿⡿⠿⠿⢿⣾⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠿⠿⠿⢿⠀⠀⠀⠀⡍⠛⠛⠻⠿⠿⠿⢍⣋⣩⣿⣿⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⠿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠙⠛⠋⣥⣤⣿⣿⣟⠟⠿⠿⣿⣿⣿⡿⣻⣭⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠛⠛⠛⠃⢀⣐⣿⣿⢿⣿⣿⣿⣿⣮⣅⣀⣩⣭⣿⣿⣭⣽⣿
⠿⡿⠿⣿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⣶⣦⣤⣀⣀⠀⠀⢸⣿⣿⣿⣿⣿⣷⡊⠉⢹⣿⣟⣿⣿⣿⣿⣿⣿⣿
[22A⣉⣉⣉⣉⣭⣉⣍⣉⣉⠀⠀⢈⣟⣋⣉⣛⣿⣿⣿⣯⣿⣿⣿⣿⣿⡏⠍⠭⠍⠍⠩⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣶⣿⣿⣿⣿⣿⡇⠀⠀⠀⢀⢠⡄
⣶⠤⠤⠶⠶⠶⠶⠶⠦⠀⠀⠀⡖⣿⣿⡷⣿⣿⣿⣿⣷⣶⣶⡞⣻⣿⣖⣖⣀⣂⣘⠀⠀⠘⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣻⣿⣿⣤⣤⣤⣴⢠⡆⠀⠀⠀⠀⠀⠀⠀⠸⡘⠟⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⣼⣿⣿
⣿⣷⣦⣉⣛⣛⣋⣉⣉⠀⠀⠀⣋⣉⣉⡉⣿⣿⣿⣿⣿⣿⡿⠧⢿⣿⣧⠤⠤⠄⠀⠀⠀⠀⠀⠀⠈⣿⡿⠦⠼⠿⠿⠿⢿⢹⣿⠟⡿⣟⣺⣛⣿⣼⡇⠀⠀⠀⠀⠀⠀⠀⠈⠇⠀⢹⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿
⢿⣿⣿⣤⣶⣶⠴⠤⠦⠀⠀⠀⡚⠒⠒⠒⠚⣻⣷⣾⠟⠳⣀⣀⣼⣿⡉⣩⠉⠀⠀⠀⠀⠀⠀⠀⠀⠘⠷⠷⣶⣿⣿⣿⠀⠐⣍⠀⡯⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿
⣒⣻⣿⣿⣿⣿⣛⣋⣉⠀⠀⠀⣭⠭⠭⠭⠥⠤⠉⠁⠀⠀⠀⢶⣿⠒⢒⣓⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⠀⠀⠁⠀⡇⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿
⣭⣿⣿⠿⢿⣿⢶⣶⣶⠀⠀⠀⢲⣖⣒⣒⣒⣲⣤⣀⠀⠀⠀⠀⠉⠡⠤⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣘⠋⠉⠭⠭⠥⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿
⣾⣟⣿⣚⣛⣿⣿⣿⣿⡁⠀⠀⠽⡯⡽⣿⣿⣷⣶⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⠄⢰⢠⣤⠀⠀⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⡇⠀⠀⠈⠉⠙⠿
⣴⣿⣭⣻⣿⣿⣿⣿⣿⣷⣶⣶⣾⣿⣅⣻⣿⡿⠿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡇⢹⡼⢿⣶⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⡇⠀⠀⢠⣤⣤⣤
⣿⣿⣿⣿⠉⣋⡟⡟⢸⣿⣿⠈⣿⣿⢿⣶⣶⣿⣿⠇⠀⠸⣿⣿⣶⣤⣤⣤⠀⠀⠀⠀⢀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⠃⠈⠁⠚⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠈⠁⠀⠁
⣿⣿⣿⡟⠀⡾⠀⠁⢸⠉⣿⠀⢹⣿⣀⣀⣀⣤⣤⡤⠀⣾⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠹⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣈⢸⣿⠀⣿⣿⢸⣷⢸⡇⣿⡇⣿⣧⣿⣻⣷⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀
⣿⣿⣿⡇⢀⣇⢰⡿⢸⢰⣿⠀⢸⡿⠁⠀⠀⣀⠀⠀⢀⣹⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣿⣿⢸⣿⠀⣿⣿⢸⣿⣿⡇⣿⡇⣿⡇⣻⣿⣦⠀⣿⣿⣿⣿⣿⡇⠀⣠⡀⠀⠀⠀
⣿⣿⣿⣿⣎⣈⣈⣥⣬⣤⣤⣤⣴⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣴⣶⣾⣿⣿⣿⣿⣿⡸⠿⠶⠿⠿⠸⠇⠿⠇⠻⣷⡿⠋⠿⣾⠿⠀⢻⣿⣿⣿⣿⠁⠀⣿⠁⠀⠀⠀
⠉⠉⠀⠀⠀⠈⠀⠀⠙⣿⣿⣿⣿⡿⠿⢿⣿⣟⣛⣿⣿⡋⢭⣭⣿⣿⣛⣛⣿⣿⣿⡖⠂⠀⣢⣴⣿⣾⣿⣿⣿⣿⣿⢟⣛⣛⡛⢛⣛⡛⢂⣀⣀⠀⣀⡀⢀⣀⢀⣀⡀⢀⣀⠀⣀⣀⡘⠿⢟⣛⡛⣀⣴⣿⣀⠀⠀⠀
⣤⣤⣴⣶⣶⣶⣶⣶⣶⣷⣤⣶⣿⣿⣿⣍⣭⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⡿⠓⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⣿⣿⠃⣿⣿⣿⢸⣿⣻⣷⢿⣿⣿⡏⣿⣿⣇⢸⣿⠀⣿⡟⣿⡇⣿⣿⠿⠈⣿⣿⣿⡧⣤⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⣿⣿⣿⣿⡿⠿⠿⠋⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣟⠿⠿⠃⣿⣿⠀⣿⣿⣿⢸⣿⢻⣷⢸⣿⣿⣇⣿⣿⣿⢸⣿⠀⣿⡇⣿⡇⣝⣻⣷⠀⠉⣿⡗⢹⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⢠⡘⠻⣿⣿⣿⣿⣿⣿⣶⣤⣄⠿⠟⠀⠻⠿⠟⠸⠿⠸⠿⠈⠿⠿⠻⠿⠹⠿⠼⠿⠿⠿⠿⠿⠃⠻⠿⢟⣠⣾⣿⣿⣿⢿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢹⣿⣿⣿⣿⠇⠀⠀⠀⠀⠘⣿⣶⣌⠻⠿⣿⣿⢿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⢰⣶⣶⣶⣶⣷⣶⣶⣶⣤⣤⣤⣄⢻⣿⣿⣿⣿⣿⣿⣿⣿⣭⢽⣷⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢺⣿⣿⣿⡿⠀⠀⠀⠰⣿⣿⣿⣿⣿⡿⣷⣦⣄⣀⠉⢻⣿⣿⣷⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣛⣛⣻⣿⠿⢿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⠛⠛⠻⠇⠀⠀⠀⠀⠉⠉⠙⠛⠛⠛⠉⠋⠁⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣇⠉⠉⠁⣶⣶⣾⣿⣏⣙⡛⣛⠿⠿⣿⣯⣝⣶⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠀⣤⣽⣿⣛⣿⣿⢿⣿⣿⣶⣦⣤⣴⣾⣿⣿⣶⣿⣿
⠿⠿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣷⣿⣿⣶⣦⣤⣀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣁⣀⣼⣯⣽⣿⣿⣿⣿⠿⢿⣿
[22A⠤⠤⠴⠴⢶⠴⠤⠤⠄⠀⠀⠸⢭⣤⣤⠼⣿⣿⣿⣿⣿⠿⠿⣿⣿⡘⠒⠒⢒⠀⡂⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⡿⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⣴⣿⣯
⣗⠒⢚⣛⣛⣛⣛⣛⡃⠀⠀⢸⣽⣿⣿⣉⣹⣿⣿⣿⣿⣿⣯⢭⣿⣿⠼⠥⠬⠤⠅⠀⠀⠙⠛⢿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣭⣿⣿⣷⡖⣾⣿⡇⣾⠀⠀⠀⠀⠀⠀⠀⠀⣧⠘⠉⣿⣿⣿⣿⣿⣿⠀⠀⠀⣾⣿⣿⣿
⣿⣿⡦⠭⡽⠭⠤⠤⠄⠀⠀⠠⡤⠤⠆⠐⢻⣿⣿⣟⣿⣿⡛⡚⣿⣿⣖⣒⡘⠀⠀⠀⠀⠀⠀⠀⢻⣿⣛⡒⢓⣛⣛⡋⠇⢻⡟⢹⡟⣯⣯⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿
⣿⣿⣷⣾⣿⣟⣟⣛⡃⠀⠀⢨⣉⣉⣉⣉⠉⠽⢿⡿⠋⠀⠠⢴⡿⠇⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠻⠿⣿⣿⡇⠀⢸⠆⢸⠃⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿
⣭⣽⣿⣿⣿⣿⡧⠤⠄⠀⠀⠀⡗⠒⠒⠒⠒⣒⣂⠀⠀⠀⠀⠙⠯⠉⠭⠭⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠇⠀⠘⠀⠘⠂⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿
⣾⣿⡞⣟⣿⣟⣿⣿⣃⠀⠀⠈⣿⣭⣭⣭⡭⡷⢶⣶⡄⠀⠀⠀⠀⠐⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠤⠄⠀⠐⠒⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿
⠿⣿⣯⡭⣽⣿⣿⣿⣷⠀⠀⠀⡿⣶⣻⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣗⠀⣥⣶⡆⡀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠉⢛
⣿⣿⣮⣿⣿⣿⣿⡿⢿⣿⡿⢿⣿⣷⡮⠿⢿⣟⣛⠿⠿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡆⠿⢙⣿⡇⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⡶⠶⢿⠿
⣿⣿⣿⡇⠸⣼⠻⠃⣿⣿⡇⠘⣿⡗⠿⠿⠿⠿⠟⠀⠀⣻⣿⣿⣶⣶⣶⡄⠀⠀⠀⢠⣤⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡏⠁⠀⠘⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⠃⢰⠇⢀⡃⣿⢸⡇⠀⣿⣧⠤⠤⠴⠶⠾⠂⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⡀⢸⣿⠀⣿⣿⢸⣷⢸⡇⣿⡇⣿⣧⣿⣻⣷⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⡀⡸⣄⢸⠇⠗⠿⠇⠀⠿⠃⠀⠀⠠⣄⣀⣀⣤⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⢸⣿⠀⣿⣿⢸⣿⣿⡇⣿⡇⣿⡇⣻⣿⣦⠘⣿⣿⣿⣿⣿⠀⢀⣶⠀⠀⠀⠀
⣿⣿⣿⣿⣤⣤⣤⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠁⠀⠀⢀⣀⣀⣠⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⡸⠿⠶⠿⠿⠸⠇⠿⠇⠻⣷⡿⠋⠿⣾⠿⠀⣿⣿⣿⣿⡟⠀⢸⡟⠀⠀⠀⠀
⠉⠁⠀⠀⠀⠀⠀⠀⠙⠿⢿⣿⣿⣛⣛⣿⣿⣭⣭⣭⣿⢠⣶⣶⣿⣿⣭⣽⣿⣿⣿⠉⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣛⣛⡻⢟⣛⡛⢂⣚⣒⠂⣀⡀⢀⣀⢀⣀⡀⢀⣀⠀⣀⣀⡛⠿⢟⣛⡣⢴⣾⣧⣤⠀⠀⠀
⣤⣤⣶⣶⣶⣶⣾⣾⣿⣷⣬⣿⣿⣿⣷⣖⣲⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⡿⠏⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡘⣿⣿⠃⣿⣿⣿⢸⣿⣻⣷⢿⣿⣿⡏⣿⣿⣇⢸⣿⠀⣿⡟⣿⡇⣿⣿⠿⠀⢿⣿⣻⣲⣾⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣕⣿⣿⣿⣿⣛⣛⠋⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⠟⠿⠿⠿⠃⣿⣿⠘⣿⣿⣿⢸⣿⢻⣷⢸⣿⣿⣇⣿⣿⣿⢸⣿⠀⣿⡇⣿⡇⣝⣻⣷⠀⢐⣿⣮⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⠇⠀⠀⠀⢳⣤⣿⣿⣿⣿⣿⣿⣿⣶⣶⣄⡀⠿⠟⠀⠻⠿⠟⠸⠿⠸⠿⠈⠿⠿⠻⠿⠹⠿⠾⠿⠿⠿⠿⠿⠃⠻⠿⢟⣴⣿⣿⣿⣟⣻⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⠟⠀⠀⠀⢀⣈⣻⣯⣹⢿⣿⠛⢿⣿⣿⣿⣿⡇⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣶⣿⣶⣾⣶⣶⣶⣆⣸⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⡿⣿⣭⣄⠀⢀⣚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣹⣿⣿⣿⣿⣿⣿⣯⣭⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠟⠛⠛⠛⠀⠀⠀⠀⢰⠀⠀⠀⠈⠙⠋⠁⠐⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⠿⠟⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣻⣭⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠛⠻⠿⠿⢿⣿⣿⣿⣧⠀⢀⣰⣿⣿⣿⣿⣶⣭⣍⠭⠟⠛⢿⣷⣿⡿⢿⣿⣧
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⣶⣶⣿⣯⣽⣿⣻⡿⠿⢿⣷⣶⣿⣿⣿⣿⣿⣿⣿
⠿⠿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣶⣦⣤⣀⠀⣿⣿⣿⣿⣿⣿⣷⣤⣤⣿⣿⣷⣿⣿⣿⢿⣿⠛⠿
[22A⠒⠶⢶⠿⡷⠶⠲⠖⠀⠀⠀⠛⢲⣶⣶⠚⣿⣿⣷⣟⣛⣛⣻⣿⣷⣂⣀⣀⣀⣠⡀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠉⠉⠉⡀⠀⠀⠀⠀⠀⠀⠀⢠⡀⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢠⣿⣿⣿
⣍⣉⣉⣉⣫⣩⣉⣉⠀⠀⠀⣭⡿⠿⠯⢭⣿⣿⣿⣿⣿⣿⠤⢼⣿⡗⠒⠀⠂⠀⠀⠀⠈⠉⠻⢿⣿⣿⣿⢻⢻⣿⣿⣿⣿⣶⣿⣿⣿⣻⣿⣿⣳⡇⠀⠀⠀⠀⠀⠀⠀⠨⢇⠈⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿
⣿⣿⠤⣶⣾⠶⠒⠒⠀⠀⠀⢒⣖⣒⣒⣚⣿⣿⣿⣿⣿⣛⣉⣙⣿⣿⠩⠍⠉⠀⠀⠀⠀⠀⠀⠈⢿⣿⣉⣉⣉⣩⣭⠉⠀⡿⠉⣿⢻⣾⣷⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢸⣿⣿⣿⣿⣿⡏⠀⠀⢸⣿⣿⣿⣿
⣛⣿⣿⣿⣿⣽⣉⣭⠀⠀⠀⣭⠭⠭⠥⠤⠽⣿⣿⣿⡗⠒⠒⣾⣿⣒⣺⡂⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⢿⣿⣿⠀⠀⡇⠀⢹⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿
⢤⡿⢿⣿⣿⣾⠶⠶⠂⠀⠀⢺⣒⣒⣛⣉⣉⣹⣿⠟⠉⠹⢩⣿⡭⠭⠮⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠄⠀⠁⠀⠘⢸⣿⡿⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿
⣿⣿⣛⣻⣿⣿⣿⣿⡅⠀⠀⢨⣿⢤⢤⣶⠾⣟⠀⠀⠀⠀⠘⢛⣛⣉⣉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣒⠒⠂⠀⠀⠉⠉⣉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⡇⠀⠀⠸⠿⠿⣿⣿
⣿⣿⣦⣴⣿⣿⣿⣿⣆⡀⠀⢸⣛⣟⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠈⠙⠋⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣯⢨⣆⣿⣀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠈⣩
⣿⣷⣾⡿⣿⣿⣿⠛⣿⣿⠿⣿⣿⣷⣞⣛⣛⣻⡟⠻⠷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⠸⠏⣽⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠸⠟⠛⠿⠟
⣿⣿⣿⡀⢣⡟⢻⠸⡟⣿⡀⢸⣿⠾⠿⠿⠿⠛⠃⠀⢈⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⣀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡇⠀⠀⠻⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⠁⢸⠀⣈⢀⡇⣿⡇⢸⣿⠶⠖⠒⠒⠛⠛⠀⢺⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠹⢇⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⣁⢸⣿⠀⣿⣿⢸⣷⢸⡇⣿⡇⣿⣧⣿⣻⣷⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣧⣀⢿⡀⣿⠈⠇⠿⠃⠘⠛⠀⢀⣀⣐⣒⣠⣤⣼⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⣿⣿⣿⢸⣿⠀⣿⣿⢸⣿⣿⡇⣿⡇⣿⡇⣻⣿⣦⢸⣿⣿⣿⣿⡇⠀⢸⡇⠀⠀⠀⠀
⣿⣿⣿⣷⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠈⠀⣀⠀⠀⣀⣀⣴⣶⣾⣿⣿⣿⣿⣿⣿⡸⠿⠶⠿⠿⠸⠏⠿⠇⠻⣷⡿⠋⠿⣾⠿⢠⣿⣿⣿⣿⡇⠀⣿⠇⠀⠀⠀⠀
⠁⠁⠀⠀⠀⠀⠀⠀⠙⠿⣟⣛⣻⣿⢭⠭⢭⣿⣷⣶⣶⢸⣿⣿⣿⣷⣶⣾⣿⣿⡏⠁⢀⣥⣶⣿⣿⣿⣿⣿⣿⣿⣿⢟⣛⣛⡻⢟⣛⡛⢒⣒⣂⠀⣀⡀⢀⣀⢀⣀⡀⢀⣀⠀⣀⣈⡛⠿⢟⣛⡳⢾⣿⣶⣦⠀⢀⣀
⣤⣤⣶⣶⣶⣶⣶⣿⣿⣷⣼⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⠟⠁⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡘⣿⣿⠃⣿⣿⣿⢸⣿⣻⣷⢿⣿⣿⡏⣿⣿⣇⢸⣿⠀⣿⡟⣿⡇⣿⣿⠿⠀⠻⣿⡿⣽⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣉⡝⠁⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠃⣿⣿⠘⣿⣿⣿⢸⣿⢻⣷⢸⣿⣿⣇⣿⣿⣿⢸⣿⠀⣿⡇⣿⡇⣝⣻⣷⠀⣸⣷⣤⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⡿⠁⠀⠀⠀⣷⣦⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡄⠿⠟⠀⠻⠿⠟⠸⠿⠸⠿⠈⠿⠿⠻⠿⠹⠿⠾⠿⠿⠿⠿⠿⢃⠻⠿⠟⢴⡿⢿⣿⣋⣽⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⠃⠀⠀⠀⣀⣭⣿⣧⣿⣻⣿⠟⣿⣿⣿⣿⣿⡏⣀⣀⣀⣀⡀⠀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣾⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡾⣿⣿⣿⡟⠀⠀⠀⠀⠻⠿⣿⣿⣿⣿⣿⡷⢀⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣶⣶⣾⣿⣿⣽⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠉⠃⠀⠀⠀⠀⠠⠀⠀⠀⠈⠉⠁⠀⠈⠛⠛⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠿⠿⠿⢟⣋⣛⣻⣿⠿⣿⣿⣿⣿⣿⣿⠿⣛⣻⣿⣾⡿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠛⠛⠻⠿⠿⣿⡿⠧⠀⠀⣾⣿⣿⣿⣿⣷⣶⣖⣛⠉⠙⣛⣿⣿⣟⣻⣿⣷
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣭⠿⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⢿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣷⣶⣤⣀⣸⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⢯⡟⠛⠛
[22A⠒⠒⠚⣓⢚⠓⣒⠂⠀⠀⣚⣲⣶⣶⣞⣿⣿⣿⣛⣛⣛⣛⣿⣿⣍⠉⠭⠩⠥⡧⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⡏⠉⢉⣉⡀⢠⠀⠀⠀⠀⠀⠀⠀⠀⡄⢿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢠⣿⣿⣿⣿
⣉⠩⣭⢭⠭⠭⠭⠄⠀⠀⠼⠾⠿⠷⠦⣼⣿⣿⣿⣿⣿⡒⢲⣿⣷⠚⢒⣒⠀⠀⠀⠀⠈⠙⢻⣿⣿⣿⠉⣟⣿⣿⣿⡿⣿⣿⢿⣿⡯⣿⢿⣏⣿⠀⠀⠀⠀⠀⠀⠀⠀⢓⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿
⣿⠒⣒⣒⣒⣒⣒⠂⠀⠀⢐⣖⣒⣋⣉⣿⣿⣿⣿⡿⠯⠭⠭⣿⡿⠯⠥⠄⠀⠀⠀⠀⠀⠀⠀⢹⣿⣯⣭⣭⣭⣵⡄⠀⢹⡏⢸⡏⣷⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣯⡭⠭⠅⠀⠀⢰⠤⠤⣾⣿⣿⣿⣿⣛⣗⣒⣒⣺⣟⣋⣉⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠻⣿⣿⡇⠀⢸⠀⢸⠁⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣷⣒⣒⡂⠀⠀⢘⣋⣉⣹⣿⣿⣿⣿⣿⣯⣿⡥⣿⡗⠀⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠃⠀⠈⠀⠈⠁⠿⠿⠿⠟⠛⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿
⣿⣍⣿⣿⣿⣿⣭⡥⠀⠀⠰⣿⠶⢶⣿⣿⣿⣿⣿⣿⣿⣽⣿⣯⣭⣭⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⢒⣀⣀⠉⡉⢉⡉⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⢟⠛⠿⣿⣿
⣿⣷⣶⣾⣿⣿⣿⣷⣀⣀⣈⣽⡽⢽⣿⣿⣿⣿⠿⠋⠛⠿⣿⣿⣿⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣯⡄⣶⣿⣧⡄⠸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⠀⠀⠀⣀⣀⣀⣨⣭
⣿⣾⡿⢿⣿⣿⡟⣿⣿⡟⢻⣿⡿⣗⣛⣻⣯⡅⠀⠀⠀⠀⠈⠛⠻⠗⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⡇⠛⢰⣽⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠛⠋⠙⠛⠋
⣿⣿⡇⠘⡾⠹⡀⣿⢿⡇⠈⣿⡏⠛⠛⠛⠛⢋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠀⠀⠘⠻⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⠁⢸⠃⢀⡄⣿⣸⡇⠀⣿⡷⠒⠒⠚⠛⠛⠁⠐⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⢠⣶⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣬⣤⢸⣿⠀⣿⣿⢸⣷⢸⡇⣿⡇⣿⣧⣿⣻⣷⢹⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣄⠜⠆⠸⠃⠛⠛⠃⠀⢛⣃⣀⣀⣐⣦⣤⣤⣴⣿⣿⣿⣦⣤⣀⣴⡆⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⢸⣿⠀⣿⣿⢸⣿⣿⡇⣿⡇⣿⡇⣻⣿⣦⢸⣿⣿⣿⣿⠀⢀⣿⠀⠀⠀⠀⠀
⣿⣿⣷⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣇⠀⠀⠀⠀⢀⠁⢠⡄⢀⣀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⠸⠿⠶⠿⠿⠸⠇⠿⠇⠻⣷⡿⠋⠿⣿⠿⢸⣿⣿⣿⣿⠀⢸⡟⠀⠀⠀⠀⠀
⠉⠁⠀⠀⠀⠀⠀⠈⢛⣿⣻⣿⣯⣿⠿⢿⣷⣶⣶⣷⡆⣿⣿⣿⣿⣶⣶⣿⣿⣶⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⢟⣛⣛⡛⢛⣛⡓⢒⣂⣀⠀⣀⡀⢀⣀⢀⣀⡀⢀⣀⠤⣀⣛⡻⠿⢛⣛⡛⢿⣷⣶⡂⢀⣤⣀
⣤⣶⣶⣶⣶⣶⣶⣿⣿⣶⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⣿⣿⠃⣿⣿⣿⢸⣿⣻⣷⢿⣿⣿⡏⣿⣿⣇⢸⣿⠀⣿⡟⣿⡇⣿⣿⠿⠀⢻⠛⢿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣯⡭⠁⠀⠀⢀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣟⠛⠛⠀⣿⣿⠘⣿⣿⣿⢸⣿⢻⣷⢸⣿⣿⣇⣿⣿⣿⢸⣿⠀⣿⡇⣿⡇⣝⣻⣷⠀⣿⣶⣾⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⠃⠀⠀⠀⢸⣷⣶⣽⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠿⠟⠀⠻⠿⠟⠸⠿⠸⢿⡈⠿⠿⠻⠿⠹⠿⠾⠿⠿⠿⠿⠿⢃⠻⠿⠟⣐⣿⣿⣯⣽⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⡟⠀⠀⠀⢠⣤⣽⣿⣷⣿⣽⣟⣋⠻⣿⣿⣿⣿⣿⣂⣀⣀⣀⣀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣼⣿⣿⣿⡿⠿⢿⣿⣿⣿⣾⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣿⣿⣿⠁⠀⠀⠀⠘⠿⠿⠿⢿⣿⣿⠿⠛⣶⣶⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⠿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠛⠉⢉⠉⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠟⠛⣭⣭⣭⣿⠟⣿⠿⣿⣿⣿⣿⡿⢛⣭⣿⣿⣿⠟
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠛⠛⠿⠿⠿⠂⣀⣴⢿⣿⣿⣿⣿⣷⣦⣤⣄⣉⣩⣿⣿⣿⣭⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣀⡀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡟⠉⠝⣻⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠿⠿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣷⣶⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⠉⠉⠉
䷩ 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.
=> =============================================================================
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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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣶⣿⣿⣾⣿⣷⣷⣶⣿⣷⣿⣿⣿⣷⣿⣷⣿⣷⣾⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣿⣿⣿⡏⡍⡏⡉⡅⡏⡭⡏⡭⡍⡇⡇⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
䷩ 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
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠿⡿⠿⠿⣿⢿⠿⡻⡟⣿⣿⣿⣶⣶⣤⣤⣤⣤⣤⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⣿⣿⣿⣿⢿⢿⣻⣿⢫⣿⣿⣿⣿⡏⣭⡏⣿⢰⡎⢰⢿⢿⡇⢿⠸⢆⡇⣍⢀⣙⣠⣙⣣⣇⣦⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣤⣤⣤⣤⣤⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⣿⣿⢍⢉⡵⣲⡇⣱⣛⠯⠈⢾⣿⡷⠾⠶⣿⣾⠿⠚⠳⢿⣟⠛⣿⣿⠋⢹⡿⢋⣩⣍⣏⠉⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⠆⣿
⣿⣿⣯⠯⢂⣪⣻⣛⣛⣋⡶⡄⠋⣿⣿⠀⠆⢈⠃⢸⣿⣷⠀⣿⠀⣿⣿⡇⢸⡀⢸⣿⣿⣿⠀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿
⣿⣿⣿⣶⠴⢌⡻⡿⢿⡿⣷⣷⣸⣿⣿⠀⣶⣿⣧⡈⠛⠛⣠⣿⣀⣛⣹⣇⣸⣷⣤⣉⣥⣿⣤⣥⣼⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠉⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿
⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⡿⢿⣿⠟⣿⡖⢻⣿⠛⣿⡟⢹⣿⣉⣿⢏⣹⠿⣉⡿⢧⣼⠟⣤⡟⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿
⣿⣿⣿⣤⡟⢣⣼⠛⣶⡟⣱⣾⣉⣶⣏⣹⣿⣁⣿⣧⣼⣿⣤⣿⣧⣼⣿⣶⣿⣷⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡿⠛⡟⣻⠿⡿⡿⢿⢿⣿⣿⣿⣿⠀⠀⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣭⣭⣿⣽⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢳⢗⡒⠫⢩⠲⡧⠷⡃⡕⣿⣿⣿⡏⠀⠀⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢂⢳⠲⡞⠼⡈⠢⢥⡵⢡⣿⣿⣿⡇⠀⠀⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣾⣿⣿⣿⣿⣿⠁⠀⠀⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣤⣷⣵⣤⣂⣥⣦⣧⣧⣬⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠛⠛⠻⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣭⣭⡭⠭⠭⠿⠛⠛⠛⠻⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⡿⠀⠀⠀⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⡞⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⣿
⣿⢏⠻⣍⢹⢻⠿⡛⠻⢻⢻⣏⠏⠟⣟⣿⢋⢯⠙⣏⢿⡏⠟⢋⠙⡛⡛⢻⢏⡟⣻⠛⡛⡏⠛⣿⣿⣿⣿⠀⠀⠀⢠⢾⣿⣿⢷⣤⣤⣴⣇⣀⣀⡀⠘⣄⣀⣀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⡶⡶⣿⣾⣷⣾⣶⠾⢾⣾⣾⣷⣷⣷⡿⣿⣿⣶⡾⣾⣾⡶⡾⣷⣷⡵⢿⣶⣶⣾⣶⣷⣷⣶⣿⣿⣿⣿⠀⠀⠀⢾⣾⠉⠙⢟⡉⠭⠁⣪⡞⢩⣭⣍⣛⣛⡛⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠒⢦⠀⠀⠀⣿
⣿⣳⣅⣙⣍⡸⣹⣟⣾⣏⣘⣏⣏⣿⣇⣣⣁⣉⢙⣿⣈⣸⣳⣣⣉⣹⣱⣞⣉⣃⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⠨⠽⠿⣍⣥⣬⡛⣿⣿⡿⠉⠉⠉⠑⣶⡆⠉⢩⣽⣿⣿⣧⠀⠀⣀⣀⣼⣷⡄⠀⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠃⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠋⠀⠀⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠋⠉⠂⠀⠀⠀⠀⠀⠀⠀⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠉⢹⣿⡟⡏⠉⠉⠉⠉⠙⡟⡿⣿⣿⣿⣿⣿⡿⠟⠻⣿⡏⠉⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⠀⠀⠀⠀⠀⠀⣀⢀⡀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠠⠈⣿⣿⣿⡇⠐⠀⢸⠉⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⠀⠀⠀⠠⡀⢀⠉⠉⠁⠀⠀⠀⠀⠀⠀⢀⡿⣾⠇⠀⠀⠀⠀⠀⢷⠀⠀⠸⣿⡿⠈⢷⠀⠀⠘⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢳⣻⣼⣿⣧⣀⣀⣀⣄⣠⣄⣀⣀⣠⣴⣧⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⠀⠀⠀⠀⠀⠻⠂⠀⣀⣀⣠⣤⣤⣄⣀⣈⡀⠀⠀⠀⠀⣀⣤⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢹⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⠀⠀⠀⠀⣠⣴⣾⣿⣀⣽⣀⣨⠄⣀⣀⣿⣿⣿⣶⣶⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠁⣾⡿⠿⠿⠿⠿⠿⠿⠿⠿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⠀⠀⣠⣾⣿⣿⣿⠿⠷⠦⡴⠦⠤⠥⠼⠿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⠀⢸⠀⠀⠀⠢⠀⢸⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣾⡟⠁⣠⣶⣾⣿
⣿⠀⢰⣿⣿⣿⡟⡛⠒⠒⠚⠓⢲⠒⠒⠒⠒⠛⢻⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢼⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠈⠀⠀⠀⠉⠙⣿
⣿⠀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣏⣉⣉⣹⣉⣉⣹⣉⣩⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣦⣤⣀⡀⣿⣦⣶⣶⣶⣤⣤⣤⣤⣴⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣾⣿⣿⣿⣶⣶⣤⣤⣼⣿
⣿⠀⠸⣿⣿⣿⣿⣿⣿⡧⠤⠴⠤⠤⠦⢤⠤⠤⠴⠤⠤⠤⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠀⠀⠙⣿⣿⣿⣿⣿⡗⠒⠒⠒⠒⡖⠒⠒⢒⠒⠒⠒⠒⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠤⣿⣿⣷⣦⣬⣙⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠛⢿⣿⣿⣿
⣿⠀⠀⠀⠈⠛⢿⣿⣉⣁⠀⢙⠋⡀⠉⣍⠁⢸⢁⣡⢰⠀⣙⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠢⡤⣽⣿⣿⣿⠻⣿⣶⣮⣭⣿⣿⣿⣿⡿⢿⠛⠛⣟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿
⣿⣤⡀⠀⢠⠀⠀⠈⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣀⣐⣾⣿⣿⡏⠀⠹⣿⣿⣿⣿⣿⣟⣓⣒⣚⣀⣀⣘⣄⠀⠀⠠⠴⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣭⣿
⣿⠉⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⠈⠉⠛⠿⣿⡷⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣻⣿
⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣦⣦⣤⣤⣤⣤⣤⣤⣼⣀⣀⣀⣀⣀⣀⣀⣀⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣋⣁⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣿
䷩ 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 █
⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠰⡏⣩⣅⠀⠠⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⠀⠀⣿⠷⠿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⠿⠿⠛⠿⠒⠒⠀⠐⠺⠿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠠⠄⠠⠤⠤⠤⠤⠶⠶⠤⠶
⣤⣄⠀⢸⣿⡟⣻⣿⣿⣟⢻⣿⣿⠀⠀⠀⣿⣿⡄⠀⣿⣿⣿⣿⣿⣿⡂⠀⢻⣿⠿⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⠟⢿⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⢀⣀⣀⣀⣀⡀⠀⠀⠀⠀
⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⣀⣀⣽⣿⣧⣄⣼⣿⣿⣿⣿⣿⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⣼⣿⣿⣿⣿⣿⠀⠀⠀⠀
⣿⣿⡄⠀⢹⣿⣿⣿⡿⠋⢸⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⡏⠈⢻⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀
⣿⣿⡇⠀⣼⣿⣿⣿⣡⣤⣾⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣗⠀⠈⣀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⠛⠿⢿⡿⠿⠟⠀⠀⠀⠀
⣿⣿⣿⠀⣿⣿⣿⣿⡟⠛⠛⠛⠃⠚⠿⠿⠿⠿⠿⠿⠿⠿⠀⠀⢿⣿⠄⠀⠀⠀⣤⣶⣶⣶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡶⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣀⣀⣤⣤⣤⣶⣶⣤⣄⠀⠰⣦⡀
⣿⣿⣿⠀⣿⣿⣿⣿⡇⠀⠀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠚⠻⠿⠿⠿⠿⠿⠋⠿⠿⢿⠿⠿⠿⢿⣿⣿⣿⣿⣿⠀⠀⠈⠻
⣿⣿⣿⠀⠟⣿⣿⣿⡇⠀⠐⠿⠿⣿⣿⠿⠿⠃⠀⣀⣀⡀⠀⠀⠀⠀⣷⣶⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣤⣤⣈⣙⡇⠀⠀⠀⢀
⣿⣿⣿⠀⠀⣾⣿⣿⠃⠀⠀⠀⢀⣿⣿⠀⢀⣴⣿⣿⠿⢿⣿⣦⡀⢸⣿⡏⢀⣴⣶⠶⠀⠀⠀⠀⠛⠛⣿⣿⠛⠛⠁⣀⣠⣤⣤⣀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡿⠿⠿⠿⢿⠇⢠⣤⣤⣤
⣿⣿⣿⠀⢸⣿⣿⣿⠇⠀⠀⠀⢸⣿⣿⠀⢸⣿⣿⠁⠀⠀⢹⣿⡇⢸⣿⣿⣿⣟⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⣾⣿⠟⠛⠛⢿⣷⡀⠀⣿⣿⣠⣾⡿⠟⠁⠀⠀⠀⠀⠀⠀⢸⣤⣤⣤⣤⣤⣤⣤⣤⠀⢘⣿⣿⣿
⠛⠛⠛⠀⠀⠛⠛⠛⠀⠀⠀⠀⢸⣿⡟⠀⠘⢿⣿⣦⣤⣴⣿⡿⠃⢸⣿⡏⠙⣿⣧⡀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠸⣿⣿⡀⠀⠀⢸⣿⡿⢀⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⣨⣉⣉⣉⣉⣉⣉⠉⠉⠀⠀⠙⠛⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠉⠙⠛⠛⠉⠀⠀⠘⠛⠃⠀⠈⠿⠷⠄⠀⠀⠀⠀⠀⣿⣿⠀⠀⠙⢿⣿⣶⣾⣿⠟⠁⢸⣿⡿⠈⢻⣿⣆⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠈⠉⠁⠀⠀⠙⠛⠂⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠁⠸⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⡈⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠉⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⡀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠈⠻⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣦⡀⠀⠀⠀⠀⠀⠈⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠈⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣰⣤⣄⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⠿⢃⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⢉
⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢿
⣿⣿⣿⣿⣿⡝⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⣘
⣿⣿⣿⣿⣿⡗⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢻
⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠘
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⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀
⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀
⠁⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠗⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡿⠟⠋⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀
⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀
⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⣀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀
⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣇⡀⠰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠻⠿⠏⠜⠃⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣛⡛⠉⠻⣿⣿⡇⠀⠀⠀⠀⠀⠀
⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠻⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣼⡿⠀⠀⠀⠀⠀⠀⠀
䷩ 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.
=> =============================================================================
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…
=> =============================================================================
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
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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.
=> =============================================================================
World Wide Web but a lot lighter.
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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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