𝕿𝖊𝖈𝖍𝖗𝖎𝖌𝖍𝖙𝖘 Bulletin for Friday, July 14, 2023
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Generated Sat 15 Jul 02:45:14 BST 2023
Created by Dr. Roy Schestowitz (𝚛𝚘𝚢 (at) 𝚜𝚌𝚑𝚎𝚜𝚝𝚘𝚠𝚒𝚝𝚣 (dot) 𝚌𝚘𝚖)
Full hyperlinks for navigation omitted but are fully available in the originals
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Latest in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒕𝒙𝒕 and older bulletins can be found at 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒕𝒙𝒕-𝒂𝒓𝒄𝒉𝒊𝒗𝒆𝒔
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Gemini index for the day: gemini://gemini.techrights.org/2023/07/14/


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

⦿ Latest Wave of Microsoft Layoffs Has Come to Canada (But Nobody in the Canadian Media Has Even Mentioned It!) | Techrights

⦿ Canonical, a Former Sirius ’Open Source’ Client, is Likely Becoming More Like Sirius (Key People Leaving, Too) | Techrights

⦿ DistroTube (Derek Taylor): ChromeOS and GNU/Linux at 7.2% | Techrights

⦿ IRC Proceedings: Thursday, July 13, 2023 | Techrights

⦿ Microsoft’s XBox is Imploding, Many Top Roles Vacated Amid Layoff Waves (Lots of XBox Staff Laid Off This Year) | Techrights

⦿ UEFI ’Security’ is Totally Hopeless, Even a Paradox | Techrights

⦿ Hollywood’s Writers Are Under Attack and Techies Should Pay Attention | Techrights

 ䷼ Bulletin articles (as HTML) to comment on (requires login):
		http://techrights.org/2023/07/14/canadian-media-blackout/#comments
		http://techrights.org/2023/07/14/canonical-is-becoming-sirius-or-comparing-canonical-to-sirius/#comments
		http://techrights.org/2023/07/14/chromeos-and-gnu-linux/#comments
		http://techrights.org/2023/07/14/irc-log-130723/#comments
		http://techrights.org/2023/07/14/layoffs-again-and-xbox-crisis/#comments
		http://techrights.org/2023/07/14/uefi-security-paradox/#comments
		http://techrights.org/2023/07/14/workers-under-attacks/#comments

 ䷞ Followed by Daily Links (assorted news picks curated and categorised):
		http://techrights.org/2023/07/14/david-graeber-on-debt/#comments
		http://techrights.org/2023/07/14/linux-mint-21-2-victoria/#comments
		http://techrights.org/2023/07/14/microsoft-in-trouble-with-the-ftc-again/#comments
		http://techrights.org/2023/07/14/more-geminispace-capsules/#comments
		http://techrights.org/2023/07/14/retro-and-comebacks/#comments
		http://techrights.org/2023/07/14/rust-1-71-0-is-out/#comments

                    ䷩ 𝚕𝚒𝚗𝚎 70

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

(ℹ) Images, hyperlinks and comments at http://techrights.org/2023/07/14/canadian-media-blackout/#comments
    Gemini version at gemini://gemini.techrights.org/2023/07/14/canadian-media-blackout/

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Gemini_version_available_♊︎


✐ Latest_Wave_of_Microsoft_Layoffs_Has_Come_to_Canada_(But_Nobody_in_the
Canadian_Media_Has_Even_Mentioned_It!)⠀✐


Posted in America, Microsoft at 2:26 am by Dr. Roy Schestowitz


Days ago: Microsoft’s_July_2023_Layoffs_Have_Spread_to_Europe


    🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Microsoft_confirms_fresh_round_of_layoffs,_Canadians
                             reportedly_affected⦈_


 🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇While_Microsoft_confirmed_that_it’s_cutting_dozens_of_jobs
 in_the_U.S.,_several_Canadian_employees_have_reached_out_to_Samfiru_Tumarkin
           LLP_—_claiming_that_they_were_let_go_earlier_this_week.⦈_


Summary: Canadian journalists are failing_to_report_it, so lawyers_fill_the_gap
and acknowledge that Microsoft’s_July_2023_layoffs_have_come_to_Canada (The
Register_used_anecdotes_to_state_the_same)


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                    ䷩ 𝚕𝚒𝚗𝚎 146

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

(ℹ) Images, hyperlinks and comments at http://techrights.org/2023/07/14/canonical-is-becoming-sirius-or-comparing-canonical-to-sirius/#comments
    Gemini version at gemini://gemini.techrights.org/2023/07/14/canonical-is-becoming-sirius-or-comparing-canonical-to-sirius/

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Gemini_version_available_♊︎


✐ Canonical,_a_Former_Sirius_‘Open_Source’_Client,_is_Likely_Becoming_More_Like
Sirius_(Key_People_Leaving,_Too)⠀✐


Posted in Free/Libre_Software, GNU/Linux, Ubuntu at 8:33 am by Dr. Roy
Schestowitz


Video_download_link | md5sum 1df78d5342750f6e4e11cfa4536aa0da
To Developers, Canonical Not the Same Anymore
Creative Commons Attribution-No Derivative Works 4.0


http://techrights.org/videos/sirius-and-canonical.webm


Summary: A former client of my former employer (we supported postgres for them)
has just lost a key developer and then resorted to ‘hijacking’ a project,
exploiting the Contributor License Agreement (CLA); yes, Canonical is becoming
more “closed”, just_like_Red_Hat, so Free software proponents won’t stick
around for much longer


THERE is a familiar sight. The symptoms strike a nerve.


A very short time after I had announced my resignation from Sirius_‘Open
Source’ (that was before I even knew about the crimes, which I wrote about
today in_my_personal_site), someone from Canonical did the same thing and told
a similar story. My wife joked that maybe he was inspired by us, but who can
ever prove such a thing?


The video above discusses what happened this month and explains similarities to
what happened last year at Sirius ‘Open Source’.


As a reminder, Canonical is a former client of Sirius. It shows it right there
in the front page and footer, it’s not a secret:


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


In any event, days ago Stéphane Graber (Launchpad_member_since_2005-09-26)
resigned from Canonical and it doesn’t look pretty. Consider this_original
departure_message and little_other_coverage that followed (any_further_updates
clustered_here_in_the_future; we didn’t see this in LWN or Phoronix). To quote
little coverage we found (from OMG! Ubuntu!): “Stéphane Graber has announced
their resignation from Canonical after 12 years of working at the company,
mostly on LXD. The decision follows news last week that Canonical has taken the
LXD project in-house after years of it existing as a community endeavour under
the Linux Containers (LXC) umbrella. Stéphane’s engineering expertise and
enthusiasm for LXD (and containers in general) has arguably made them the
“face” of LXD. In social media replies to their (somewhat unexpected) decision,
many have commented on this and thanked them for their contributions and help
over the years.”


“As a reminder, Canonical is a former client of Sirius.”He wrote_many_blog
posts_in_the_official_Ubuntu_site, albeit not in recent years (nothing since
2019).


“It’s a very bad situation for LXD / LXC due to Microsoft control and influence
over Canonical,” one reader told us. We’ve recently shown just how close
Canonical was getting to Microsoft, so maybe LXD work (and staff) was being
chained to Microsoft’s proprietary surveillance grid.


From what can be gathered between the lines and elsewhere, there’s a leadership
issue.


“Maybe they hired the wrong managers, as the video points out. This happened in
Sirius.”Stéphane Graber later added: “Canonical upper management apparently
expects a community project to have the majority of its code contributed by
external parties which LXD obviously didn’t. With a team of 10 or so to the
engineers, Canonical likely contributed 90% or so of LXD’s code. I do strongly
disagree about this being the main metric of the success of a community
though…”


Gabriel Reiser responded: “Sad that they no longer understand the open source
model and expect the community to get behind uninspiring leadership. LXD will
live on. Canonical however, needs to find itself again.”


Maybe they hired the wrong managers, as the video points out. This happened in
Sirius. When I left the company nobody in the management used Free/Open Source
software. It had been like this for years already.


Comment or conclusion from my wife: “My personal view is, when the company
changes its mission and vision, that’s a red flag, followed by the exodus of
many, e.g. colleagues, managers, and even interns — and that is also another
thing. Life in general isn’t going to revolve around work and money, that isn’t
the essence of it. The feeling of freedom and fulfillment are most rewarding
and that’s something which I haven’t felt for a long time until I left my job.”
█


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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⡇⠠⠐⠲⠖⠂⠢⠂⠄⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠝⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡝⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣝⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣋⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⡿⣿⣷⣦⣭⣭⠙⣛⣛⣩⣭⣵⣶⡿⢿⡿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣽⣷⣒⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣗⣗⣽⣷⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣄⠐⠛⠈⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠐⠰⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 281

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

(ℹ) Images, hyperlinks and comments at http://techrights.org/2023/07/14/chromeos-and-gnu-linux/#comments
    Gemini version at gemini://gemini.techrights.org/2023/07/14/chromeos-and-gnu-linux/

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 07.14.23⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


Gemini_version_available_♊︎


✐ DistroTube_(Derek_Taylor):_ChromeOS_and_GNU/Linux_at_7.2%⠀✐


Posted in GNU/Linux, Microsoft, Windows at 5:20 am by Dr. Roy Schestowitz


Linux…We’re_No_Longer_“The_2%”


Summary: New video explains things we_covered_some_hours_ago (more_articles
here)



                    ䷩ 𝚕𝚒𝚗𝚎 308

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

(ℹ) Images, hyperlinks and comments at http://techrights.org/2023/07/14/irc-log-130723/#comments
    Gemini version at gemini://gemini.techrights.org/2023/07/14/irc-log-130723/

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 07.14.23⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


Gemini_version_available_♊︎


✐ IRC_Proceedings:_Thursday,_July_13,_2023⠀✐


Posted in IRC_Logs at 3:30 am by Needs Sunlight


Also available via the Gemini protocol at:


    * gemini://gemini.techrights.org/irc-gmi/irc-log-techrights-130723.gmi
    * gemini://gemini.techrights.org/irc-gmi/irc-log-130723.gmi
    * gemini://gemini.techrights.org/irc-gmi/irc-log-social-130723.gmi
    * gemini://gemini.techrights.org/irc-gmi/irc-log-techbytes-130723.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
 QmZVZ2N1RVBnmCfpk8hZDrdnZY74Nu7LBWuHhsguT8dLvb #boycottnovell  🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈
                                                 (full IRC log
                                                 as HTML)


                                                 IRC log for
                                                 #boycottnovell
 QmYmtZdS4NfeWe5M2Qb3QkAdHUKk5CQvQBPUeaz9WVs7qG (full IRC log   🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇text logs⦈
                                                 as plain/ASCII
                                                 text)


                                                 IRC log for
                                                 #boycottnovell-
 QmbmZaC8GHqgLmSZ3TrHQ8DrcS7cgirpTTitkeVGdQQadq social          🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈
                                                 (full IRC log
                                                 as HTML)


                                                 IRC log for
                                                 #boycottnovell-
 QmUt8wg4jfvz3kdHVEiJgAoKMDitjcdaX4nBKStqBpZ8WG social          🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇text logs⦈
                                                 (full IRC log
                                                 as plain/ASCII
                                                 text)


                                                 IRC log for
 QmYfFL17oVBQgXCsWhAJJnD9C4as2nQoiUcqkf2J9TKqX8 #techbytes      🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈
                                                 (full IRC log
                                                 as HTML)


                                                 IRC log for
                                                 #techbytes
 QmbGKj7SiBM3NJHBBPwLaVqk91Y34SoYe6yy9hwyBeJBQg (full IRC log   🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇text logs⦈
                                                 as plain/ASCII
                                                 text)


                                                 IRC log for
 QmUJ8x9k49TUoy75U9djd7PaMWWLo6dn3YaMNHM1BWgo7v #techrights     🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇HTML5 logs⦈
                                                 (full IRC log
                                                 as HTML)


                                                 IRC log for
                                                 #techrights
 QmNfJPKf6yvo6egDgA8mJxTtUqZaTrZwFBN8TwhnCcEgKS (full IRC log   🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇text logs⦈
                                                 as plain/ASCII
                                                 text)


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇IPFS logo⦈


§ Bulletin for Yesterday⠀➾


Local_copy | CID (IPFS): QmacHX3CByCabNojZpnuR5dX8yT6XtWXfvRAHjs7XHfQZT



                    ䷩ 𝚕𝚒𝚗𝚎 435

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

(ℹ) Images, hyperlinks and comments at http://techrights.org/2023/07/14/layoffs-again-and-xbox-crisis/#comments
    Gemini version at gemini://gemini.techrights.org/2023/07/14/layoffs-again-and-xbox-crisis/

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 07.14.23⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


Gemini_version_available_♊︎


✐ Microsoft’s_XBox_is_Imploding,_Many_Top_Roles_Vacated_Amid_Layoff_Waves_(Lots
of_XBox_Staff_Laid_Off_This_Year)⠀✐


Posted in Microsoft at 4:42 pm by Dr. Roy Schestowitz


He must be like the fifth high-level person to_depart in just 3 month. From
hours ago:


  🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Larry_Hryb,_a_well-known_face_of_the_Xbox_brand_over_the
                 past_two_decades,_is_departing_the_company.⦈_


Also hours_ago:


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Ex-Xbox_Coalition_Dev_Wishes_Microsoft_Spent_$69_Billion_On
                          Keeping_Workers_Employed⦈_


Too busy faking_their_size.


Minutes_ago:


🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇HR_News:_More_Layoffs_at_Microsoft,_Strikes_Put_TV_and_Film
           on_Hold,_Hollywood's_DEI_Leaders_Walking_Away,_and_More⦈_


Summary: The XBox_division_is_facing_a_crisis as its market share is small,
managers are leaving in droves, and this_year’s_mass_layoffs impact a lot of
XBox staff


⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⡿⡿⣿⣿⢿⢿⢿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⠙⣹⢙⡻⢛⡻⡻⣻⡹⢛⣿⡏⣹⠋⢹⡛⠏⡟⡛⡟⣻⡏⠙⡏⠟⠻⢹⠛⡻⣛⠟⢟⢻⡏⡟⢛⣿⠉⠛⠻⣛⢛⢻⠛⡟⡛⠟⡻⢻⡏⡹⢏⠙⠛⣛⡟⡻⣛⠿⢛⡟⡛⡏⣛⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣯⣾⣼⣬⣴⣮⣴⣼⣼⣷⣥⣾⣧⣧⣦⣴⣵⣀⣷⣵⣧⣿⣧⣾⣤⣮⣵⣼⣬⣶⣬⣦⣿⣼⣧⣧⣵⣿⣦⣮⣼⣬⣼⣦⣧⣧⣿⣔⣑⣼⣧⣧⣼⣴⣴⣥⣧⣷⣭⣶⣥⣶⣥⣧⣿⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡟⠻⢋⢰⢙⠟⠟⢛⣻⣯⠆⣹⠴⣹⣟⠻⡛⠟⡟⠟⡟⣛⠛⣿⣿⣿⣿⣿⡟⢿⢻⢻⣻⣻⡏⣿⠙⣟⡿⣟⡿⣿⣿⠟⣿⣿⢻⠛⠟⢹⣿⡏⢿⢻⣻⣛⣿⠻⢻⣛⣿⡏⡟⢿⣻⡛⠟⣿⢿⣻⣿⣿⣿⣿⣿⣿⣿
⣿⣷⣶⣾⣾⣶⣷⣶⣾⣿⣷⣶⣶⣶⣾⣿⣤⣷⣶⣷⣶⣷⣷⣶⣾⣿⣿⣿⣿⣿⣿⣾⣾⣧⣿⣷⣿⣶⣿⣼⣷⣿⣽⣷⣷⣿⣷⣷⣷⣷⣾⣿⣷⣿⣾⣿⣿⣷⣷⣿⣿⣿⣷⣿⣿⣾⣶⣷⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣽⣯⠋⡙⣿⣏⣹⢨⢝⣭⡟⢻⣿⢭⠋⡽⡉⣯⣽⢭⢸⡟⡭⡽⣛⡉⣯⣿⡇⡇⡍⣋⢹⣿⣭⡫⡙⢫⢯⣽⣿⣽⢏⢟⢫⣽⣿⣭⡏⡙⢫⠽⡉⣯⡅⢋⠻⡭⣿⣿⣏⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣏⣾⣷⣮⢰⣙⣆⣷⣇⣆⣰⣾⣶⢸⣷⣾⣷⣷⣮⣿⣳⣋⣎⣷⣱⡁⣶⣷⣾⣰⣡⢧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣟⣿⣿⣿⣿⣟⣟⣿⣿⣿⣻⣻⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣻⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣻⣟⣿⣿⣻⣿⣿⣿⣿⣿⣻⣿⣿⣿⣻⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⠿⢙⣋⣉⣭⣭⣭⣥⣤⣤⣤⣤⣭⣭⣭⣍⣋⡛⠿⢯⣿⣽⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣦⣍⣛⠛⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠟⣛⣩⣵⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣼⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣤⣤⡤⠤⠤⠤⠤⠤⠴⠶⠶⠶⠒⠒⠒⠒⠚⠛⠛⠋⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿
⣿⡏⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠂⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿
⣿⡇⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿
⣿⡇⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠐⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⠂⠀⠂⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⢑⠂⠑⢦⠐⣢⣐⠂⠀⠀⣄⣖⢴⠐⠦⡔⣢⡄⠀⢸⣿⣿⣿⣿⣿⣿
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢀⠄⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢈⠠⠂⠾⠆⠐⠓⠀⠀⠘⠀⠲⠤⠀⢈⠀⠀⣀⠀⠀⠈⠠⠤⢠⡄⠀⡈⠀⠀⠺⢿⣿⣿⣿⣿⣿
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠊⠀⠀⠩⠣⠇⠀⠀⠀⠀⢀⣶⣶⣿⣿⣷⣜⠴⡀⢠⡰⠆⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠈⠁⢶⣿⣿⣦⣴⡄⠢⠇⠁⠌⠁⠀⠀⢀⣼⣿⣿⣿⣿⣿
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣑⣄⠝⠁⢀⣴⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⠇⠛⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⡀⠀⠐⠀⠤⠚⣿⠖⢀⡀⠀⠀⣿⣿⣿⣿⠛⢿⣿⣿⣿⣬⣛⠄⠀⡼⢛⣿⣿⣿⣷⣶⣶⣾⣿⣶⣤⡀⠀⢨⣿⡀⠀⣀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢀⠀⠀⣶⠟⣏⠰⣶⡆⠀⠀⠀⣰⢽⣿⣷⣿⣿⣿⣿⣷⡟⠀⢈⣶⡀⢼⣿⣿⣿⣿⣿⣿⣿⣯⣻⡗⠀⠀⠀⠂⠀⢿⠀⠀⠀⠀⠀⠠⠀⢸⣿⣿⣿⣿⣿
⣿⡇⠀⠀⠀⠀⠀⠀⠀⣴⣷⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⣀⣥⡀⠉⠁⠀⠀⢸⣿⠿⢟⣿⣿⣿⣿⣿⢟⠁⢠⣿⣿⡻⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣷⠀⠀⠀⠀⠀⠛⠃⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣦⣄⠀⠀⠠⠀⠀⠀⠀⠀⠀⢠⠂⠀⠀⢉⠀⠁⠀⠀⠀⠀⢿⡌⣿⣿⣷⣿⣿⠏⣸⢀⡆⠈⠁⡀⠘⢿⣿⣿⣿⣿⠋⢹⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢸⣿⣿⣿⣿⣿
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣷⣦⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠈⠃⣽⣿⣿⠿⢋⣴⣧⣼⢃⠀⠀⢿⡿⠈⠿⢿⣿⣧⢀⢰⣿⣿⣿⣇⠀⠀⠀⠀⣀⡀⠀⣼⣿⣤⠀⠀⢸⣿⣿⣿⣿⣿
⣿⣇⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⣀⠈⠀⠀⣀⡀⠘⠀⠀⠀⣤⠀⠈⢉⣅⣰⣿⣿⣿⣿⡀⠀⠀⠈⠀⠀⠀⠀⠒⠉⢅⣿⣿⣿⣿⣿⣦⡀⠀⠀⢛⡋⠀⣻⣿⣿⣶⠀⢸⣿⣿⣿⣿⣿
⣿⣿⣷⣦⣀⣠⣶⣾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⢹⡄⠀⣄⡁⢰⠁⠀⠀⣼⡿⠀⠀⠘⣿⡿⠯⣽⢻⣇⠀⠀⠀⠀⠁⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠈⠁⠀⠹⠿⢿⠾⠃⢸⣿⣿⣿⣿⣿
⣿⡇⠉⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠈⠓⠀⠈⠁⠟⠀⠀⠈⠉⠟⠀⠀⠠⠼⡿⠂⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿
⣿⡇⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⣤⣤⣤⣤⣤⣤⣄⢀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢋⠛⠿⣿⣿⣿⠿⢟⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿
⣿⡇⠈⠀⠀⠀⠀⠀⣀⡾⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣾⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⡜⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿
⣿⡇⠀⠀⠀⠀⠀⠀⠛⠁⠀⠀⠀⠈⠉⠉⠙⠛⠿⢿⣿⣿⣿⣿⠟⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⣼⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿
⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠻⡻⢟⠛⣛⠛⣿⡟⢨⣭⡟⠛⠻⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣉⣙⣑⣊⣠⣭⣴⣬⣥⣮⣉⣓⣉⣙⣘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⡇⠀⣏⣙⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣏⣹⣩⣙⣍⣹⣽⣋⣉⣉⣿⣩⣉⣋⣉⣍⣿⣙⣹⣉⣉⣉⣏⣋⣉⣉⣉⣽⣉⣩⣭⣍⣉⣝⣉⣏⣉⣉⣉⣉⣩⣏⣉⣋⣍⣏⣉⣍⣏⣉⣉⣍⣉⣉⣏⣉⣉⣉⣉⣏⣍⣉⣉⣉⣹⣉⣭⣉⣉⣋⣉⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡏⠭⢽⠿⢿⣯⡹⢫⠹⠿⡿⠿⡿⢿⣿⢋⣝⡿⠿⡿⠿⡏⣿⠻⡯⠿⠿⡿⠿⣿⡏⣍⢻⠿⠿⢿⢿⡏⡟⢹⢹⠽⠿⡏⠿⡿⠿⡿⠿⣿⠋⢿⠉⣿⠿⢿⠿⠿⠿⠿⢿⠿⢿⠫⠟⢿⡟⠍⡻⠿⢿⠿⢿⠿⢿⠻⣿⣿
⣧⣈⣙⣥⣱⣞⣵⣌⣨⣡⣮⣣⣣⣜⣿⣬⣩⣧⣣⣇⣢⡇⠿⠌⠇⠬⠡⠧⠇⠿⠇⠩⠴⠔⠼⠤⠿⠿⠰⠆⠾⠨⠢⠇⠇⠧⠢⠦⠢⠿⠼⠤⠇⠿⠌⠽⠸⠬⠡⠅⠸⠌⠥⠼⠇⠽⠯⠁⠄⠍⠼⢔⣼⣼⣸⣌⣿⣿
⡿⠿⢿⠿⣿⠿⢿⣿⠿⢿⢿⢿⡿⣿⣿⣿⣿⣿⡿⠿⢿⡇⢰⣶⢶⡶⣶⣶⣶⣶⣶⣶⡶⣶⣶⣶⣶⣶⠶⡶⣶⢶⣶⣶⣶⢶⣶⣶⣶⣶⣶⣶⣶⠶⠶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢶⣶⣶⢸⣿⣿⣿⣿⣿⣿
⡗⠭⢉⠤⢡⠍⣸⣿⠨⢜⢸⢸⡇⡇⠆⡇⡆⣿⣇⠿⢢⠀⠈⣿⢨⡘⡡⠬⡡⠬⠀⠆⡇⢠⡎⡱⠆⣿⡇⢱⠀⡆⠦⡁⣶⢈⢺⠠⢼⣴⠤⢺⣿⠨⠽⢰⣤⡎⠠⠆⣿⡱⢎⡌⣰⠠⢼⠰⢸⣿⣿⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠘⠛⠛⠛⠛⠛⠛⠛⠚⠛⠛⠛⠛⠒⠒⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠚⠛⠛⠛⠛⠒⠛⠛⠛⠛⠛⠛⠛⣸⣿⣿⣿⣿⣿⣿
⣷⣮⣉⣉⣹⣍⣉⣿⣉⣉⣹⠏⠻⠉⠉⠉⠽⠁⠇⠩⠍⠥⠉⠏⠉⠏⠄⠉⠍⠉⠩⠼⠭⠍⠁⠉⢏⣉⣹⣁⣉⣉⣯⣹⣘⣹⣁⣉⣁⣏⣩⣫⣏⣌⣉⣍⣉⣈⣩⣇⣀⣋⣉⣩⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⢿⠿⡿⠿⣿⠿⢿⡿⠿⠿⢰⣶⡶⡶⢶⠶⣶⣶⣶⡶⠶⠶⠶⠶⠶⣶⠶⣶⣶⡶⠶⢶⣶⣶⣶⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⠿⡿⠿⡿⣿⢿
⣷⣾⣶⣶⣶⣶⣾⣶⣾⣶⣶⠘⠛⠓⠓⠒⠓⠒⠒⠛⠒⠒⠒⠒⠒⠒⠓⠒⠚⠒⠓⠒⠚⠛⠛⠛⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⣷⣾⣶⣶⣷⣶⣾
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠉⠉⠉⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠉⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠘⠃
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⠄
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠄
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠠⡄
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣄⣀⠀⠀⠀⠀⢀⣀⣤⣤⣀⠀⠀⠀⠀⠀⠀⣀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⣀⣀⣀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⢿⣿⡿⡿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠅⠀⠀⢸⣿⣿⣿⣿⡟⠀⠀⠀⠀⠙⡇⠦⣇⣆⣻⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⣉⡙⣝⣉⡍⣹⣙⡏⣉⣙⣉⣉⣉⣝⣍⣉⣹⣉⣏⣉⣙⣉⣉⣙⣩⣍⣉⣯⣹⣩⣫⣉⣉⣩⢻⣿⣿⣿⣿⣿⣿⣿⣿
⠭⠭⠭⢽⣿⣿⣿⣿⣇⠂⠀⠀⠀⢀⡇⠭⡏⠡⠩⠇⢠⠙⠋⠁⡍⠋⠍⡏⠈⣿⣿⣿⣿⣿⠛⠙⡛⠛⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣴⣿⣯⣿⣽⣿⣿⣯⣿⣿⣿⣽⣿⣿⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⢉⡍⠉⠛⢻⡯⡽⡟⠛⠛⡟⡟⠋⢻⢻⣯⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠈⠓⠒⣶⡌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣇⠀⠀⣧⣬⣼⣼⣴⣦⣬⣤⣌⣨⣼⣿⡇⠀⢸⡇⠀⠄⢀⠐⡇⢀⢀⠀⢀⡀⠀⢀⢠⣇⠀⠀⠀⠀⠀⣰⠵⣿⣏⣉⣉⣁⣉⣏⣉⣉⣈⣹⣉⣏⣉⣏⣉⣉⣉⣹⣁⣸⣉⣉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⢿⣿⡿⠿⣿⡿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⢿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⣿⣿⡿⣿⡿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⢘⣛⠀⡒⢸⡇⡌⠀⠩⠍⠩⠩⢉⡩⢭⡇⠈⢃⠘⣭⠉⡉⠩⢹⡇⣿⡏⡉⡍⢋⢩⠉⢠⢠⡉⠽⡏⡉⠁⣽⡇⠙⡀⠘⢩⡭⢩⢩⠙⡉⠍⣭⠁⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣾⣿⣶⣿⣾⣷⣿⣶⣶⣶⣷⣷⣷⣶⣶⣷⣾⣿⣶⣶⣶⣿⣶⣾⣷⣶⣶⣶⣇⣼⣶⣾⣾⣾⣶⣾⣷⣶⣶⣾⣷⣿⣷⣾⣶⣶⣾⣶⣶⣶⣶⣶⣷⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                    ䷩ 𝚕𝚒𝚗𝚎 586

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

(ℹ) Images, hyperlinks and comments at http://techrights.org/2023/07/14/uefi-security-paradox/#comments
    Gemini version at gemini://gemini.techrights.org/2023/07/14/uefi-security-paradox/

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 07.14.23⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


Gemini_version_available_♊︎


✐ UEFI_‘Security’_is_Totally_Hopeless,_Even_a_Paradox⠀✐


Posted in Deception, Microsoft, Security at 6:26 pm by Dr. Roy Schestowitz


   🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇BlackLotus_UEFI_Bootkit_Source_Code_Leaked_on_GitHub⦈_
              Like ‘pwning’ Microsoft on a Microsoft/NSA_platform


Summary: The pseudo-security industry (bug doors, imperialism/national security
in ‘security’ clothing) is losing the argument; grown-ups have meanwhile
classified UEFI ‘secure’ boot as a laughing stock and its proponents as
Microsoft trolls


THE people_who_promote_fake_security just ‘happen’ to be the_loudest_and_most
aggressive_Internet_(or_IRC)_trolls, constantly looking to defame, threaten,
blackmail, and maybe even dox both my wife and I.


They keep losing the argument, they even half-admit that (in their blogs), but
somehow it’s us who are the problem?


It has been nearly_a_year since we last wrote about UEFI_‘secure’_boot, i.e.
outsourcing to Microsoft portrayed as some kind of Buffy-on-steroids of
security. But it’s back in the news [1] because of another black eye. As a
reminder, there’s no real solution to this [2-4]. Just reject fake security.
Reject Microsoft and its Munchkins [1, 2, 3]. █


Related/contextual items from the news:


   1. ⚓ BlackLotus_UEFI_Bootkit_Source_Code_Leaked_on_GitHub⠀⇛


           The source code for the BlackLotus UEFI bootkit has been leaked
           on GitHub and an expert has issued a warning over the risks.


   2. ⚓ NSA:_BlackLotus_BootKit_Patching_Won’t_Prevent_Compromise⠀⇛


           BlackLotus burst on the scene last fall when it was spotted for
           sale on the Dark Web for $5,000. It has the dubious distinction
           of being the first in-the-wild malware to successfully bypass
           to Microsoft’s Unified Extensible Firmware Interface (UEFI)
           Secure Boot protections.


           UEFI is the firmware that’s responsible for the booting-up
           routine, so it loads before the operating system kernel and any
           other software. BlackLotus — a software, not a firmware threat,
           it should be noted — takes advantage of two vulnerabilities in
           the UEFI Secure Boot function to insert itself into the
           earliest phase of the software boot process initiated by UEFI:
           CVE-2022-21894, aka Baton Drop, CVSS score 4.4; and CVE-2023-
           24932, CVSS score 6.7. These were patched by Microsoft in
           January 2022 and May 2023 respectively.


           But the country’s top technology intelligence division warned
           that applying the available Windows 10 and Windows 11 patches
           is only a “a good first step.”


   3. ⚓ Microsoft’s_bootkit_patches_offer_‘false_sense_of_security’_against
      BlackLotus_threat,_NSA_says⠀⇛


           BlackLotus targets Windows boot by exploiting a flaw in older
           boot loaders, or boot managers, to set off a chain of malicious
           actions that compromise endpoint security. This is achieved by
           exploiting the Baton Drop vulnerability to strip the Secure
           Boot policy and prevent its enforcement.


           BlackLotus shares some characteristics with Boot Hole, a
           vulnerability discovered in 2020. Unlike Boot Hole, however,
           BlackLotus targets vulnerable boot loaders that have not been
           added to the Secure Boot Deny List Database (DBX) revocation
           list.


   4. ⚓ To_kill_BlackLotus_malware,_patching_is_a_good_start,_but…⠀⇛


           Then, in research published in March, ESET malware analyst
           Martin Smolár confirmed the myth of an in-the-wild bootkit
           bypassing Secure Boot “is now a reality,” as opposed to
           hypothetical threats raised by some experts and the usual slew
           of fake bootkits criminals attempted to trick fellow miscreants
           into buying.


           No Linux-targeting variant of the malware has been observed;
           BlackLotus strictly nobbles Microsoft Windows machines.


⣿⣿⡟⠛⠻⡟⢻⣿⣿⣿⣿⠛⣿⡟⢻⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⡟⢻⠛⠛⠛⠛⠛⡟⢻⣿⠛⠛⢿⣿⣿⣿⣿⡿⢿⠛⣿⡟⢻⢿⣿⡿⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⢿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿
⣿⣿⡇⢈⠀⡇⢈⠀⢹⢡⣈⠀⠁⡄⢸⡟⢠⠈⠀⡄⢸⠀⠁⢈⣿⡇⢸⠀⠀⣉⠀⣉⡇⢸⣿⠀⡁⠈⢀⢸⠁⠈⡄⢸⠀⠁⡆⢠⢠⣿⣧⡈⠺⠁⠈⠀⡇⠀⢈⡈⢀⡉⠠⢸⣿⠀⡧⠜⢠⠈⠁⡄⠋⠀⢹⣿⣿⣿
⣿⣿⣇⣈⣀⣇⣀⣈⣸⣈⣠⣀⣆⣀⣈⣡⣈⣠⣄⣡⣈⣀⣄⣠⣿⣇⣈⣠⣀⣉⣀⣿⣇⣸⣿⣀⣁⣤⣈⣸⣀⣠⣇⣸⣀⣄⣃⣸⣈⣿⣧⣈⣠⣀⣀⣄⣁⣀⣸⣧⣀⣤⣈⣸⣿⣄⣁⣤⣈⣠⣀⣁⣆⣁⣼⣿⣿⣿
⣿⣿⡏⢹⣿⣿⣿⣿⣿⠉⣿⣿⣿⣿⣿⠉⣿⣿⣿⣿⣿⣿⣿⡟⢉⠻⣛⡟⢻⠉⡏⢹⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡇⢸⡇⢐⠨⢀⠈⠀⠁⡆⢐⠈⢠⠀⣿⡇⡄⢸⢰⠀⣿⡇⢈⠀⠀⡆⢰⠀⡁⢸⠀⠀⡇⡆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣧⣤⣴⣤⣴⣤⣤⣤⣧⣴⣤⣴⣤⣤⣿⣧⣤⣾⣼⣤⣿⣧⣤⣤⣤⣧⣤⣤⣧⣼⣤⣤⣧⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣇⣶⣁⣇⣕⣝⣷⣂⣸⣂⣀⣀⣰⣖⣰⣗⣎⣸⣇⣇⣀⣪⣘⣂⣂⣀⣿⣣⣐⣤⣇⣐⣐⣔⣐⣖⣷⣀⣀⣗⣅⣁⣆⣯⣀⣀⣀⣕⣇⣀⣸⣂⣖⣭⣘⣀⣇⣱⣑⣇⣰⣹⣀⣐⣀⣵⣸⣎⣈⣸⣿⣿⣿⣿⣿⣿
⣿⣿⡏⠉⠹⡋⠩⡏⢹⠛⠉⠉⡍⠉⠩⡯⡉⠉⣽⠍⠉⣻⡍⠉⠍⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⡿⠋⠀⠀⠀⠈⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⡇⢀⠄⢸⠀⠀⠀⡇⠀⠀⢸⠀⠀⠀⢸⣿
⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⡧⡴⡧⢤⡼⠤⢠⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣤⣤⣧⣤⣤⣼⣤⣤⣤⣧⣤⣤⣼⣤⣤⣤⣼⣿
⣿⣿⣇⠀⠀⠀⠀⠀⢀⣼⣧⣤⣤⣭⣥⣤⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣷⣤⣤⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⠛⢻⠛⠛⠛⢛⢻⠛⠛⠛⡟⠛⢻⠛⠛⡟⠛⠛⡛⢻⠛⠻⠛⡟⠛⠛⢻⠛⠛⠛⠛⠛⡟⠛⠻⠛⠛⠛⢻⠛⠛⢛⠛⢻⠛⠟⠛⠛⠛⠛⠛⠛⠛⢛⠟⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠶⠾⠶⡶⠶⠶⢾⠶⢶⠶⠷⠶⠾⠶⡶⠷⢶⠶⠶⠶⢾⢶⠶⠷⢶⢾⠿⠶⠾⠶⢶⠶⠷⡶⠾⠶⠶⠶⠾⠶⠶⠾⠶⢾⠶⣶⣶⣶⣶⣷⣶⣾⣶⣷⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣧⣤⣤⣼⣤⣤⣦⣤⣤⣤⣤⣦⣤⣴⣥⣬⣤⣤⣼⣬⣤⣤⣴⣤⣦⣤⣯⣼⣤⣤⣧⣤⣤⣤⣤⣤⣤⣤⣴⣤⣤⣦⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⡿⣿⣿⣿⢿⣿⣿⣿⠿⣿⡿⣿⡿⣿⡿⢿⢿⣿⣿⣿⣿⣿⢿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⡿⣿⣿⣿⣿⡿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⣤⣤⣀⣦⣤⣴⣤⣤⣤⣴⣤⣤⣌⣷⣤⣶⣮⣴⣤⣤⣤⣤⣧⣤⣼⣤⣤⣤⣤⣤⣧⣤⣤⣔⣠⣤⣧⣴⣧⣤⣤⣤⣤⣧⣬⣮⣴⣤⣧⣾⣬⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣈⣉⣹⢉⣉⣩⣏⣉⣨⡉⣏⣉⣉⣉⣍⣉⣉⣸⣉⣈⣈⣃⣠⣶⣇⣩⣉⣹⣉⣉⣉⣈⣀⣁⣉⣹⣉⣉⣈⣏⣉⣉⣉⣉⣩⣹⣈⣉⣉⣏⣉⣁⣟⣉⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠛⠛⢻⠛⢛⠛⡛⢻⠹⠉⠫⣹⠛⠛⠛⠛⢻⠛⡛⢹⢛⠛⡟⠛⠉⡛⢻⠛⡟⠙⠛⠛⠛⡟⠛⡟⠟⣛⠛⡟⠛⠛⠙⠛⠋⠛⡛⢻⠛⠛⡟⠙⢋⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠻⠿⠿⠿⠿⢿⠿⢾⠿⠿⠾⠿⡶⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣾⣶⣾⣾⣶⣶⣿⣷⣷⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⠿⢿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣤⣦⣧⣴⣧⣤⣧⣤⣬⣧⣿⣽⣤⣿⣼⣴⣤⣤⣤⣼⣤⣤⣬⣦⣭⣮⣥⣴⣥⣼⣯⣦⣯⣤⣤⣼⣤⣼⣤⣤⣽⣤⣧⣤⣤⣤⣬⣯⣿⣦⣤⣧⣵⣤⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣈⣉⣹⣩⣉⣩⣏⣉⣉⣉⣌⣉⣹⣉⣉⣩⣁⣀⣏⣹⣒⣱⣨⣇⣄⣂⣨⣅⣰⣇⣀⣍⣋⣹⣉⣉⣡⣍⣈⣸⣉⣉⣍⣩⣙⣁⣇⣉⣏⣽⣁⣎⣉⣈⣭⣉⣻⣋⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠙⠛⠏⠛⡟⠛⠿⢫⢻⢟⢟⠋⡟⠛⠛⣿⢟⣿⠙⢻⣛⡿⠛⠿⠙⢛⢿⢛⠛⡻⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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                    ䷩ 𝚕𝚒𝚗𝚎 732

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

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    Gemini version at gemini://gemini.techrights.org/2023/07/14/workers-under-attacks/

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 07.14.23⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


Gemini_version_available_♊︎


✐ Hollywood’s_Writers_Are_Under_Attack_and_Techies_Should_Pay_Attention⠀✐


Posted in Finance at 7:14 pm by Dr. Roy Schestowitz


Skilled programmers and authors are viewed and treated as “production lines” or
“assembly line” resources/fodder; same_for_patent_examiners


                       🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Hey_hi_meme⦈_
 Don’t listen to buzzwords; they’re misused_a_lot and sometimes just a passing
                                      fad


Summary: The media misportrays a power struggle, leveraging buzzwords to muddy
the waters; but at the heart of it what we see is systematic devaluation of
workforces, whose work cannot be properly or fully replaced by automation


“The WGA strike,” one reader told us, “is about malicious and exploitative
abuse of “AI” [as in CG or computer-generated stuff]” and “industry profits
have ballooned from $5 billion in 2000 to $28-$30 billion from 2017-2021″ [1]
while people who did all the actual work did not see their compensation rising
sixfold. So where did that surplus go? Another new article [2] states: “Actors,
writers, and multimedia artists are all having their jobs threatened because of
low-return, high-yield AI and generative products that do not have the ability
to replicate human work and should not be utilized in order to do so.”


“They sort of starve them into a position of weakness and (they hope)
surrender.”They’ve basically rebranded computer-generated (CG) as “Hey Hi”, but
buzzwords and semantics aside, this is an attack on workers whose yield or
output (of labour) was always better than some means of automation. In other
words, studios are willing to compromise on quality for purely economic
reasons, prioritising shallow things over creativity and culture.


“Even if the 160,000-member SAG-AFTRA joins the WGA on the picket lines, the
studios hope to get the actors back to the negotiating table in a few weeks,”
says another new article [3] (all those are in Daily Links already).


“The fight that these professionals are fighting closely resembles or aligns
with the fight of programmers and system builders.”They sort of starve them
into a position of weakness and (they hope) surrender.


The fight that these professionals are fighting closely resembles or aligns
with the fight of programmers and system builders. The “industry” has been
working to crush and devalue them — to the detriment of everyone who uses
software or some kind of computer, i.e. almost everyone in the world. This is
not a case of “neo-Luddites” against innovation, progress, and technological
advancement. Just like at the EPO, what we have is actual professionals warning
against illegal_financialisation_of_everything. █


Related/contextual items from the news:


   1. ⚓ Hollywood’s_writers_are_on_strike._Here’s_why_that_matters.⠀⇛


           “Though we negotiated intent on making a fair deal — and though
           your strike vote gave us the leverage to make some gains — the
           studios’ responses to our proposals have been wholly
           insufficient, given the existential crisis writers are facing,”
           the negotiating committee wrote to membership in a letter. “The
           companies’ behavior has created a gig economy inside a union
           workforce, and their immovable stance in this negotiation has
           betrayed a commitment to further devaluing the profession of
           writing.”


           [...]


           Meanwhile, according to the WGA’s calculations, industry
           profits have ballooned from $5 billion in 2000 to $28-$30
           billion from 2017-2021. Spending on original streaming content
           grew from $5 billion in 2019 to $19 billion in 2023 — the
           lion’s share of it by Netflix, which reported $6 billion in
           operating profits in 2021 and $5.6 billion in 2022.


   2. ⚓ Hollywood’s_‘Groundbreaking’_AI_Proposal_for_Actors_Sounds_Like_a
      Nightmare⠀⇛


           If anything will help illustrate the absolute necessity of SAG-
           AFTRA striking, it’s these proposed “groundbreaking” AI
           concessions that the AMPTP allegedly offered during
           negotiations. It was addressed in remarks by one of the SAG-
           AFTRA leaders, Duncan Crabtree-Ireland, who explained: “They
           proposed that our background performers should be able to be
           scanned, get one day’s pay, and their company should own that
           scan, their image, their likeness and should be able to use it
           for the rest of eternity, in any project they want with no
           consent and with no compensation.”


           [...]


           This sort of investment in AI, regardless of how it abuses
           working class people or devalues artists, is spreading across
           multiple industries. Actors, writers, and multimedia artists
           are all having their jobs threatened because of low-return,
           high-yield AI and generative products that do not have the
           ability to replicate human work and should not be utilized in
           order to do so. As SAG-AFTRA officially joins the WGA and heads
           into a historic strike, both unions do so with the future of
           the industry in their collective hands.


   3. ⚓ Hollywood_Studios’_WGA_Strike_Endgame_Is_To_Let_Writers_Go_Broke_Before
      Resuming_Talks_In_Fall⠀⇛


           The severe method comes out of the guild’s successful battle
           with the agencies in 2021 over dismantling the lucrative
           practice of packaging. The WGA picked off one agency after
           another until final holdout WME backed down, a tactic seen as a
           warning sign by many in the studio and streamer C-suites.


           [...]


           On a parallel track and reinforcing the AMPTP’s divide-and-
           conquer approach, negotiations with the Director’s Guild in
           late May proved a success, with ratification coming last month.
           Even if the 160,000-member SAG-AFTRA joins the WGA on the
           picket lines, the studios hope to get the actors back to the
           negotiating table in a few weeks.


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

                    ䷩ 𝚕𝚒𝚗𝚎 1702

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 07.14.23⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


Gemini_version_available_♊︎


✐ Gemini_Links_14/07/2023:_David_Graeber_on_Debt,_Scanners_in_Qubes_OS⠀✐


Posted in News_Roundup at 3:43 am by Dr. Roy Schestowitz


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * Personal/Opinions
    * Politics_and_World_Events
    * Technology_and_Free_Software
    * § Personal/Opinions⠀➾


          o ⚓ Ishgardian_Salt_Rocks:_A_Primer⠀⇛


                 Lucia’s eyes flick about the table. Aymeric’s servants
                 have prepared quite the variety; some of the vegetables
                 and meats are familiar enough, or at least close to what
                 she’s used to, but others are utterly foreign.


                 Something is missing, though. She might not have noticed
                 if not for the fact that she’d been specifically
                 debriefed on it. If she reacted oddly to this part of the
                 Ishgardian dinner ritual, she was told, she would
                 instantly be known for an infiltrator; she must needs
                 treat it as perfectly normal, not the proof of savagery
                 that it most assuredly is.


          o ⚓ 🔤SpellBinding:_AFLTOSM_Wordo:_ZLOTY⠀⇛


    * § Politics and World Events⠀➾


          o ⚓ What_is_Debt?_An_Interview_with_Economic_Anthropologist_David
            Graeber⠀⇛


                 He is the author of ‘Debt: The First 5,000 Years’.


          o ⚓ Hunger_Striking_in_America⠀⇛


                 Edelsohn’s name burst upon the pages of New York papers
                 in 1914. She was actively involved in unemployment
                 protests, anti-militarist protests against US
                 intervention in the Mexican revolution, and protests
                 against the Ludlow Massacre, including taking the
                 protests directly to Rockefeller’s country home in
                 Tarrytown, New York. But she is best known for her
                 uncompromising response to her early 1914 arrest. After
                 an arrest for disturbing the peace, Edelsohn refused a
                 bond and the promise to keep the peace, choosing jail
                 time over a bond and gag on public speaking. Once in
                 prison Edelsohn declared a hunger strike in further
                 protest of her sentence and the attempt to keep her from
                 public speaking. It was this act that catapulted Edelsohn
                 into the public’s eye and made her one of the “leading”
                 woman anarchists in New York at the time. Edelsohn was
                 the first person to use a hunger strike to bring
                 political attention to her plight in the United States.
                 She borrowed directly from the actions of English
                 suffragettes.[4] Edelsohn herself stated, “Without
                 sharing their aspirations, I yet admire the stand of the
                 English suffragettes and heartily approve of their method
                 of warfare.”[5] Her commitment to her hunger strike
                 brought her notoriety and support from radicals and
                 feminist throughout the country. As Linda Gordon has
                 noted, “the hunger strikes of British suffragists were at
                 this time an international symbol of feminist
                 resistance,” and American women, like radical birth
                 control activists Margaret Sanger and her sister Ethel
                 Byrne, adopted Edelsohn’s tactics when they were arrested
                 and imprisoned for violating obscenity laws against
                 distributing birth control information and advice.[6]
                 While Edelsohn’s actions are remarkable, she was part of
                 something larger: a revolutionary revolt of anarchists in
                 1914. To understand the history of Edelsohn and her
                 hunger strike we must look at the history of anarchist
                 activity in New York, beginning in the winter of 1913.


          o ⚓ Anarchism_According_to_the_Haymarket_Anarchists⠀⇛


                 The trial of eight anarchists for the May 4, 1886 bombing
                 in Haymarket Square is a well-documented event in labor
                 and radical history. The events of the Haymarket Affair
                 were important events of their day, held deep
                 ramifications for generations of anarchists and other
                 radicals, and are key events in the history of the
                 American labor movement. However, the anarchism of the
                 Haymarket anarchists is less well documented and
                 understood.


    * § Technology and Free Software⠀➾


          o ⚓ Easily_use_your_remote_scanner_on_Linux_(Qubes_OS_guide)⠀⇛


                 Hi, this is a quick guide explaining how to use a network
                 scanner on Qubes OS (or Linux/BSD in general).


                 I’ll be using a network printer / scanner Brother MFC-
                 1910W in the example.


          o ⚓ Easily_use_your_remote_scanner_on_Linux_(Qubes_OS_guide)⠀⇛


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



                    ䷩ 𝚕𝚒𝚗𝚎 1840

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 07.14.23⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


Gemini_version_available_♊︎


✐ Links_14/07/2023:_Linux_Mint_21.2_“Victoria”_and_Microsoft_Blames_‘China’_for
Microsoft_Issues⠀✐


Posted in News_Roundup at 12:11 am by Dr. Roy Schestowitz


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * GNU/Linux
          o Desktop/Laptop
          o Audiocasts/Shows
          o Graphics_Stack
          o Instructionals/Technical
          o Games
          o Desktop_Environments/WMs
                # GNOME_Desktop/GTK
    * Distributions_and_Operating_Systems
          o New_Releases
          o Fedora_Family_/_IBM
          o Devices/Embedded
          o Open_Hardware/Modding
          o Mobile_Systems/Mobile_Applications
    * Free,_Libre,_and_Open_Source_Software
          o SaaS/Back_End/Databases
          o Content_Management_Systems_(CMS)
          o Programming/Development
                # Rust
    * Leftovers
          o Hardware
          o Health/Nutrition/Agriculture
          o Proprietary/Artificial_Intelligence_(AI)
          o Security
                # Privacy/Surveillance
          o Defence/Aggression
          o Environment
                # Energy/Transportation
          o Finance
          o AstroTurf/Lobbying/Politics
                # Misinformation/Disinformation/Propaganda
          o Censorship/Free_Speech
          o Civil_Rights/Policing
          o Digital_Restrictions_(DRM)
          o Monopolies
                # Patents
                # Copyrights
    * § GNU/Linux⠀➾


          o ⚓ 9to5Linux ☛ Star_Labs_Unveils_the_Byte_Mk_II_Mini_Linux_PC,_Drops
            AMD_for_Intel_CPU⠀⇛


                 The first generation Star Labs Byte mini PC was announced
                 more than a year ago on April 2022 and it was powered by
                 an AMD Ryzen 7 5800U Octo-Core processor with AMD Radeon
                 graphics, supporting up to 64GB RAM and up to 6TB SSD
                 storage.


                 The Byte Mk II is powered by a 1.00GHz quad-core Intel
                 “Alder Lake” N200 processor with Turbo Boost up to
                 3.70GHz, 6MB smart cache, 6W TDP, 25W PL2, 4 cores, 4
                 threads, and Intel UHD graphics. It also comes with up to
                 16GB 3200MHz DDR4 RAM and up to 2TB M2 2280 SSD storage
                 (expandable to up to 6TB).


          o ⚓ ZDNet ☛ Linux_has_over_3%_of_the_desktop_market?_It’s_more
            complicated_than_that⠀⇛


                 Every few years, people get excited that maybe this will
                 be the year of the Linux desktop. Now, I can argue, and I
                 have, that happened long ago. But when you’re talking
                 about the traditional PC running a desktop Linux system
                 such as Linux Mint, MX Linux, or Ubuntu, the numbers
                 remain minute. In StatCounter’s latest desktop market
                 share numbers, Linux has made it up to 3.08%.


          o § Desktop/Laptop⠀➾


                # ⚓ Unicorn Media ☛ Wowie_Zowie!_Linux_Use_Hits_3%!_The_Year_of
                  the_Linux_Desktop_Is_at_Hand!⠀⇛


                       Only 32 years after Linus Torvalds sent his famous
                       email announcing Linux to the world, Linux use has
                       risen above 3%, all the way to 3.08% Now, ain’t
                       that some phenomenal growth? At this rate we should
                       hit the 10% mark sometime around 2091, just in time
                       for the Linux Centennial Celebration.


                       I’m kidding, of course, about the 10% by 2091
                       thing. For one thing, we probably won’t even be
                       using operating systems then. For another, we will
                       probably have been evicted from the planet long
                       before then. A planet-wide eviction, I understand,
                       is performed by shutting down the life support
                       system, just so you know. You won’t be able to
                       breath. It’ll be like drowning in air instead of
                       water.


                       But I digress. This article is about the rising use
                       of Linux, not the coming apocalypse.


                # ⚓ Liliputing ☛ System76_Virgo_laptop_PCB_design_open_sourced
                  ahead_of_release⠀⇛


                       Linux PC company System76 has been selling laptop
                       and desktop computers that ship with Linux software
                       for years. But up until recently the company had
                       primarily been sourcing its PCs from third-party
                       manufacturers and slapping its own branding and
                       software on those systems.


          o § Audiocasts/Shows⠀➾


                # ⚓ mintCast Podcast ☛ mintCast_416_–_The_Red_Hat_Diaries⠀⇛


                       First up in the news: Mint Monthly News, Steam Deck
                       exceeds 10,000 games, Red Hat fights public
                       opinion, new LibreBoot is out, Google whines about
                       their new AI search, Peppermint OS upgrades to
                       Bookworm, a new KaOS, First Amendment fails at
                       Supremes, and Solus 4 is released


                       In security and privacy, StackRot is here, and so
                       is ProtonPass


                       Then in our Wanderings, Moss makes money, Joe goes
                       3D, Bill mics up, and Majid thumbs his nose at
                       inflation


                       Download


                # ⚓ Linux in the Ham Shack ☛ LHS_Episode_#510:_K2BSA_Deep
                  Dive⠀⇛


                       Hello and welcome to the 510th installment of Linux
                       in the Ham Shack. In this episode, the hosts
                       interview one of their own — Bill, NE4RD — about
                       the K2BSA …


                # ⚓ Montana Linux ☛ Video:_History_of_Unix⠀⇛


          o § Graphics Stack⠀➾


                # ⚓ The Register UK ☛ Three_signs_that_Wayland_is_becoming_the
                  favored_way_to_get_a_GUI_on_Linux⠀⇛


                       It has taken about 15 years to get there, but there
                       is mounting evidence that the Wayland display
                       server may soon topple X11 as the most common way
                       to get a GUI on Linux.


                       We’ve reported on growing endorsement for Wayland
                       recently. The team developing Linux for Apple
                       Silicon Macs said they didn’t have the manpower to
                       work on X.org support. A year ago, the developers
                       of the Gtk toolkit used by many Linux apps and
                       desktops said that the next version may drop
                       support for X11. But this sort of thing feels to us
                       like it’s trying to push users towards Wayland,
                       rather than actually attracting anyone.


                       One of the developers of the Budgie desktop,
                       Campbell Jones, recently published a blog post with
                       a wildly controversial title that made The Reg FOSS
                       desk smile: “Wayland is pretty good, actually.” He
                       lays out various benefits that Wayland brings to
                       developers, and concludes…


                # ⚓ HowTo Geek ☛ What_Is_Wayland_on_Linux,_and_How_Is_It
                  Different_From_X?⠀⇛


                       Wayland is a modern replacement for X11, which has
                       been the default windowing system on Linux for
                       decades. Wayland is a communication protocol and
                       that defines the messaging between an X Window
                       display server and client applications. The Wayland
                       project provides client and server libraries that
                       enable applications to use the protocol.


                       The Wayland project was started by a Red Hat
                       developer in 2008.


          o § Instructionals/Technical⠀➾


                # ⚓ Own HowTo ☛ How_to_install_Arch_Linux⠀⇛


                       Installing Arch Linux was always seen as an
                       impossible step to take especially by newbie users,
                       since you had to setup everything by yourself, as
                       there was no installer included in the official
                       system.


                # ⚓ Linux Capable ☛ How_to_Install_Liquorix_Kernel_on_Pop!_OS⠀⇛


                       The world of Pop!_OS is ripe with opportunities for
                       customization and performance enhancements, a
                       universe where the Liquorix Kernel shines brightly.
                       This guide will walk you through the process of
                       installing the Liquorix Kernel on Pop!_OS, a
                       potential game-changer for your system.


                # ⚓ Linux Capable ☛ How_to_Install_Open_VMware_Tools_on
                  Pop!_OS⠀⇛


                       VMware Tools, also known as Open VMware Tools on
                       Linux systems, offer a critical set of utilities
                       designed to enhance the performance and usability
                       of virtual machines, making them indispensable for
                       Pop!_OS Linux users.


                # ⚓ TechRepublic ☛ How_to_Edit_the_Linux_Hosts_File⠀⇛


                       In this step-by-step guide from Jack Wallen, learn
                       how to access and modify the Linux hosts file to
                       control the mapping of hostnames to IP addresses.


                # ⚓ TechRepublic ☛ Video:_How_to_Edit_the_Linux_Hosts_File⠀⇛


                       In this TechRepublic How to Make Tech Work video,
                       Jack Wallen shows how to access and modify the
                       Linux hosts file to control the mapping of
                       hostnames to IP addresses.


                # ⚓ HowTo Forge ☛ How_to_Install_LibreNMS_Monitoring_Tool_on
                  AlmaLinux_9⠀⇛


                       LibreNMS is a monitoring tool that supports auto-
                       discovery with multiple protocols, including SNMP,
                       ARP, OSPF, and BGP. In this guide, I will show you
                       how to install LibreNMS Monitoring Tool on your
                       AlmaLinux 9 server. I will run LibreNMS with PHP-
                       FPM, Nginx web server, and the MariaDB database.


                # ⚓ Own HowTo ☛ How_to_fix_“yay_command_not_found”_on_Arch
                  Linux⠀⇛


                       Are you getting the error “yay command not found”
                       when trying to install a package on your system?
                       This error means that yay is not installed on your
                       system, or it could be corrupted and you can’t use
                       it to install anything.


                # ⚓ Linux Capable ☛ How_to_Install_XanMod_Kernel_on_Pop!_OS⠀⇛


                       Welcome to this exciting journey into a dimension
                       of system performance and optimization, focusing on
                       the XanMod Kernel and its potential benefits to
                       Pop!_OS Linux users. The guide is designed to be an
                       in-depth tutorial that will walk you through the
                       step-by-step process of installing the XanMod
                       Kernel on your Pop!_OS operating system.


                # ⚓ Linux Capable ☛ How_to_Enable_reuseport_in_NGINX⠀⇛


                       NGINX, a high-performance HTTP server, has become
                       an industry favorite due to its stability, rich
                       feature set, and efficient resource usage. Yet,
                       leveraging its full potential often necessitates
                       bespoke configurations. A key component of these
                       configurations is the reuseport directive, a
                       powerful tool capable of greatly improving your
                       server’s performance.


                # ⚓ ID Root ☛ How_To_Use_ps_Command_on_Linux⠀⇛


                       Process management is a crucial aspect of Linux
                       administration, ensuring efficient resource
                       utilization and system stability. Among the
                       numerous tools available for process monitoring and
                       control, the ‘ps’ command stands out as a powerful
                       and versatile option.


                # ⚓ ID Root ☛ How_To_Install_Kitty_Terminal_Emulator_on_Ubuntu
                  22.04_LTS⠀⇛


                       In this tutorial, we will show you how to install
                       Kitty Terminal Emulator on Ubuntu 22.04 LTS. In the
                       Linux environment, a terminal emulator plays a
                       crucial role in providing a command-line interface
                       to interact with the system. Kitty Terminal
                       Emulator offers a wide range of features and
                       advantages that enhance productivity and
                       customization options. …


                # ⚓ FOSSLinux ☛ A_Practical_Guide_to_Force_Deleting_Linux
                  Directories⠀⇛


                       Linux is an incredibly versatile operating system,
                       empowering users with robust features and granular
                       control over their systems. However, its high level
                       of flexibility can also make it a bit challenging,
                       especially when it comes to certain tasks like
                       force deleting directories. Maybe you’re dealing
                       with stubborn folders that refuse to be deleted or
                       directories protected by complex permissions. No
                       matter the situation, having the know-how to force
                       delete directories in Linux can be a valuable
                       skill.


                # ⚓ HowTo Forge ☛ Install_TYPO3_CMS_with_Nginx_on_AlmaLinux_9⠀⇛


                       TYPO3 is a free and open-source Enterprise-grade
                       content management system. In this guide, I’ll show
                       you how to install TYPO3 CMS on an AlmaLinux 9
                       step-by-step. We will install TYPO3 CMS with the
                       Nginx web server, MariaDB database server, and PHP-
                       FPM.


          o § Games⠀➾


                # ⚓ Boiling Steam ☛ New_Steam_Games_with_Native_Linux_Clients
                  with_Alterium_Shift_and_Octane_Remix_–_2023-07-12_Edition⠀⇛


                       Between 2023-07-05 and 2023-07-12 there were 17 New
                       Steam games released with Native Linux clients.


          o § Desktop Environments/WMs⠀➾


                # § GNOME Desktop/GTK⠀➾


                      # ⚓ ID Root ☛ How_To_Install_Gnome_on_Debian_12⠀⇛


                             In this tutorial, we will show you how to
                             install Gnome on Debian 12. For those of you
                             who didn’t know, Gnome is a powerful desktop
                             environment designed to provide an intuitive
                             and efficient user experience. It offers a
                             plethora of features and benefits that make
                             it a preferred choice for many Debian users.


                      # ⚓ GNOME ☛ Christian_Hergert:_Spellchecking_for_GTK_4⠀⇛


                             Apparently, spellchecking was preventing some
                             people from porting their applications to GTK
                             4. So I spent a little time today extracting
                             Text_Editor’s spellcheck engine into a
                             library you can use in your GTK 4 application
                             without having to write fun data-structures
                             on your own.


    * § Distributions and Operating Systems⠀➾


          o ⚓ Make Use Of ☛ Haiku:_The_BeOS-Inspired_Open-Source_Desktop_OS
            Explained⠀⇛


                 If you think modern Linux distros are too complicated,
                 Haiku is an open-source OS that aspires to be as simple
                 and elegant as its namesake Japanese poetry format. While
                 it’s still in beta, if you have fond memories of BeOS,
                 Haiku might be a promising alternative to desktop Linux.


                 Haiku is an open-source reimplementation of BeOS. BeOS
                 was developed by Be, Incorporated in the ’90s. The
                 company was founded by Jean-Louis Gassée, who had headed
                 the Mac group at Apple in the ’80s.


                 BeOS was originally designed for the company’s short-
                 lived BeBox machines, before being ported to Mac clones,
                 then the Mac itself, and finally Intel-based PCs.


                 BeOS was designed to work well with multimedia and to run
                 as efficiently as possible. One forward-thinking element
                 was its support for multiple processors when this was
                 uncommon on desktop computers in the 1990s.


                 BeOS’ multithreading allowed it to stay responsive even
                 when running heavy graphics and video, which astonished a
                 lot of observers, as seen in this promotional video from
                 the late ’90s…


          o § New Releases⠀➾


                # ⚓ Elive_3.8.34_beta_released⠀⇛


                       The Elive Team is pleased to announce the release
                       of 3.8.34 Beta


                       This new version includes: Nvidia drivers: Lots of
                       improvements have been included, such as support
                       for Optimus cards (Intel + Nvidia GPU laptops),
                       OpenCL, video rendering, switching drivers in Live
                       mode, and a better installation process. Graphical
                       drivers: Much improved for compatibility and
                       support for any performant application like Blender
                       or DaVinci Resolve. Ctrl+Alt+Del: A special feature
                       created by Elive has been added that runs some
                       helpers to make the life of the user easier.


                # ⚓ Barry Kauler ☛ EasyOS_Kirkstone-series_version_5.4.7
                  released⠀⇛


                       Version 5.4.6 was released on July 6, 2023:


                       [...]


                       In the previous post, I mentioned KeePassXC
                       password manager crashing with “illegal
                       instruction” when tested on my Compaq Presario PC.
                       The fix is to use v3.1 encryption instead of v4 — I
                       think that this was already reported in the forum.


                       So, 5.4.7 has the pre-created KeePassXC database
                       now v3.1. One thing to remember: the pre-created
                       database requires password “woofwoof” to open.


                       There are various other improvements that didn’t
                       get posted about in the blog. For example, thanks
                       to madanadam for more Turkish translations.


                # ⚓ 9to5Linux ☛ Linux_Mint_21.2_“Victoria”_Is_Now_Available_for
                  Download,_Here’s_What’s_New⠀⇛


                       Linux Mint 21.2 was in public beta testing since
                       June 21st, 2023, which gave the developers enough
                       time to fix remaining issues and offer users a
                       stable and rock-solid release. Just like previous
                       releases, Victoria is available with the Cinnamon,
                       Xfce, and MATE desktop environments.


                       This is the second installment in the Linux Mint 21
                       series, which means that it’s based on Canonical’s
                       long-term supported Ubuntu 22.04 LTS (Jammy
                       Jellyfish) operating system series and it’s powered
                       by the Linux 5.15 LTS kernel series, which will
                       also be supported for a few years.


          o § Fedora Family / IBM⠀➾


                # ⚓ IT Wire ☛ Oracle_takes_big_swing_at_IBM_over_locking_up
                  RHEL_source_code⠀⇛


                       In a_joint_blog_post published on 10 July, and
                       headlined “Keep Linux Open and Free – We Can’t
                       Afford Not To”, chief corporate architect Edward
                       Screven and Oracle Linux Development chief Wim
                       Coekaerts pointed out that by making it more
                       difficult to obtain updated RHEL source code, Red
                       Hat was directly attacking projects like Rocky
                       Linux and AlmaLinux that have sprung up to fill the
                       gap left by CentOS.


                       Oracle is the second major company to make an
                       official statement about the Red Hat move. The
                       first, German open source vendor SUSE, said on 11
                       July that it would invest more than US$10 million
                       (A$14.97 million) to fork the publicly available
                       RHEL source code and make it available to world+dog
                       with no restrictions.


                # ⚓ Red Hat Official ☛ OpenShift_sandboxed_containers_on-prem:
                  Going_nested_without_nested⠀⇛


                       Peer-pods is a new Red Hat OpenShift feature that
                       enables an OpenShift sandboxed container (OSC)
                       running on a bare-metal deployment to run on
                       OpenShift in a public cloud and on VMware. It’s not
                       uncommon to want to run OpenShift in a virtual
                       machine instead of on the bare-metal nodes. While
                       it’s possible to run a virtual machine inside a
                       virtual machine, it demands a whole new subset of
                       support concerns when you do it in production. In
                       this article, I’ll demonstrate how to solve this
                       problem, using a combination of peer-pods and
                       libvirt.


          o § Devices/Embedded⠀➾


                # ⚓ Purism ☛ Purism_and_Linux_6.2_to_6.4⠀⇛


                       It’s time to report on code flowing upstream again:
                       Following up on our report for Linux 5.19, 6.0 and
                       6.1 this summarizes the progress on mainline
                       support for the Librem 5 phone and its development
                       kit during the 6.2, 6.3 and 6.4 development cycles.


                       It’s crucial to describe our boards correctly and
                       we constantly improve that description based on
                       specifications, driver code and the hardware.
                       During the last weeks and months we’ve improved
                       power consumption and completed selfie-camera
                       support among other things…


          o § Open Hardware/Modding⠀➾


                # ⚓ CNX Software ☛ smolOS_brings_a_Linux-like_command_line
                  interface_to_ESP8266_microcontroller⠀⇛


                       smolOS (pronounced small OS) is an open-source,
                       lightweight MicroPython program that implements a
                       POSIX-style (Linux-like) command line interface for
                       the ESP8266 WiFi microcontroller. Krzysztof
                       Jankowski (w84death) designed smolOS to be easy to
                       use, allowing the listing and removing of files and
                       also including the smolEDitor which, as its name
                       implies, is a simple text editor. There are
                       currently eight commands with the familiar ls, cat,
                       and rm, plus ed to launch the text editor, welcome
                       to show the welcome screen above, cls to clear the
                       screen, mhz to set the processor speed to 80 or 160
                       MHz, and info to display some hardware and software
                       information. The project looks to be a work in
                       progress, and the developer highlights the editor
                       is at the alpha stage of development, so more
                       features may be implemented over time by Krzysztof
                       himself or by the community of developers.


                # ⚓ Hackaday ☛ PicoDebugger_Makes_Development_Easier⠀⇛


                       Debugging a Raspberry Pi Pico is straightforward
                       enough; it simply involves hooking up something up
                       to the USB and SWD pins. [Mark Stevens] whipped up
                       the PicoDebugger to make this job easier than ever
                       before.


                # ⚓ Hackaday ☛ An_ESP_In_Your_Mini_TV⠀⇛


                       When miniature LCD TVs arrived on the market they
                       were an object of desire, far from the reach of
                       tech-obsessed youngsters. Now in the age of
                       smartphones they’re a historical curiosity, but
                       with the onward march of technology you can have
                       one for not a lot. [Taylor Galbraith] shows us how,
                       with an ESP32 and an LCD we rather like because of
                       its CRT-like rounded corners.


          o § Mobile Systems/Mobile Applications⠀➾


                # ⚓ Beta News ☛ KYOCERA_launches_extremely_rugged_DuraForce_PRO
                  3_Android_13_smartphone⠀⇛


                # ⚓ 9to5Google ☛ Android_Auto_gets_a_new_Google_Assistant_with
                  v10.0_release⠀⇛


                # ⚓ Giz China ☛ Stay_in_Control:_Know_Which_Devices_Are_Using
                  Your_Android_WiFi⠀⇛


                # ⚓ Android Police ☛ How_to_check_your_LTE_band,_signal
                  strength,_and_other_mobile_details_on_your_Android_phone⠀⇛


                # ⚓ Android Police ☛ How_to_use_your_Android_phone’s_secret
                  trackpad⠀⇛


                # ⚓ Phone Arena ☛ BOOX_Palma_is_a_compact_Android_e-reader_that
                  fits_in_your_pocket_–_PhoneArena⠀⇛


                # ⚓ HowTo Geek ☛ Samsung_Galaxy_Buds_2_Pro_Review:_Good_For
                  Android_Fans,_Great_For_Samsung_Fans⠀⇛


                # ⚓ Phone Arena ☛ Fairphone_3_will_get_Android_13_and_two_extra
                  years_of_OS_updates_until_2026_–_PhoneArena⠀⇛


                # ⚓ Gadget Bridge ☛ Top_5_ways_to_view_saved_WiFi_passwords_on
                  any_Android_phone⠀⇛


                # ⚓ SlashGear ☛ 9_Of_The_Best_Android_Apps_For_Drawing_And
                  Animation_In_2023⠀⇛


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


          o ⚓ It’s FOSS ☛ FOSS_Weekly_#23.28:_China’s_Linux_OS,_Linux_Exit
            Codes,_Btrfs_Origins_and_More⠀⇛


                 Take a look at China’s first open source OS and learn
                 about the origins of btrfs filesystem among other things
                 in this newsletter.


          o ⚓ Linux Handbook ☛ LHB_Linux_Digest_#23.10:_GA_Alternatives,_AWS
            ECR_Tokens,_Shell_Built-ins_and_More⠀⇛


                 More community powered tutorials are coming to Linux
                 Handbook.


          o ⚓ Medevel ☛ Panel:_A_Powerful_Data_Exploration_Web_Business
            Intelligence_(BI)_Framework⠀⇛


                 Panel is an open-source Python library that lets you
                 easily build powerful tools, dashboards, and complex
                 applications entirely in Python. It has a batteries-
                 included philosophy, putting the PyData ecosystem,
                 powerful data tables and much more at your fingertips.


                 High-level reactive APIs and lower-level callback based
                 APIs ensure you can


          o ⚓ Medevel ☛ NavokiNotes:_Open_source_Note_App_Written_with
            Flutter⠀⇛


                 Navoki Notes is an exceptional proof of concept note-
                 taking app with a wide range of features that make it
                 stand out from other note-taking apps on the market.


          o § SaaS/Back End/Databases⠀➾


                # ⚓ PostgreSQL ☛ Announcing_the_release_of_pg_cirrus_–_Hassle-
                  free_PostgreSQL_cluster_setup⠀⇛


                       We are delighted to announce the Beta1 release of
                       pg_cirrus. This automated tool streamlines the
                       process of setting up a 3-node cluster, making it
                       significantly easier for users to set up and manage
                       high availability in PostgreSQL.


                       We understand that configuring a PostgreSQL cluster
                       can be a complex and time-consuming task, which is
                       why we have designed pg_cirrus to help make the
                       process faster and more efficient.


          o § Content Management Systems (CMS)⠀➾


                # ⚓ Medevel ☛ JUZACMS:_Open-source_Laravel_CMS_for_Developers⠀⇛


                       JuzaWeb CMS is a Laravel-based Content Management
                       System (CMS) developed by the Juzaweb Team. It is
                       designed to simplify the development workflow for
                       developers and make content management easy for
                       users. This CMS is gaining popularity among
                       developers because of its flexibility, user-
                       friendly interface, and powerful features.


                # ⚓ Medevel ☛ Outstatic:_Open-source_Vercel_Ready_Git-based_CMS
                  For_Developers_and_Hackers⠀⇛


                       Outstatic CMS is a content management system built
                       with Next.js.


                # ⚓ Medevel ☛ Laravel_Starter:_A_Modular_CMS_Built_with_Laravel
                  10⠀⇛


                       Are you looking for a powerful and user-friendly
                       CMS built with Laravel 10? Look no further than
                       Laravel Starter, a modular starter application
                       project built with Laravel 10 that can help you
                       build your website quickly and easily.


          o § Programming/Development⠀➾


                # ⚓ TecAdmin ☛ How_to_Disable_Functions_in_PHP⠀⇛


                       When you’re working with PHP, one powerful feature
                       you might not be aware of is the ability to disable
                       certain built-in functions.


                # § Rust⠀➾


                      # ⚓ Rust Weekly Updates ☛ This_Week_In_Rust:_This_Week_in
                        Rust_503⠀⇛


                             Hello and welcome to another issue of This
                             Week in Rust!


    * § Leftovers⠀➾


          o § Hardware⠀➾


                # ⚓ Hackaday ☛ AC-DC_Converter_Is_Reliable,_Safe,_And
                  Efficient⠀⇛


                       When first starting an electronics project, it’s
                       not uncommon to dive right in to getting the core
                       parts of the project working. Breadboarding the
                       project usually involves working with a benchtop
                       power supply of some sort, but when it comes to
                       finalizing the project the actual power supply is
                       often glossed over. It’s not a glamorous part of a
                       project or the part most of us want to be working
                       with, but it’s critical to making sure projects
                       don’t turn up with mysterious issues in the future.
                       We can look to some others’ work to simplify this
                       part of our projects, though, like this power
                       supply from [hesam.moshiri].


                # ⚓ Hackaday ☛ No_Acid:_Open_ICs_With_A_Tesla_Coil⠀⇛


                       We’ve taken ICs apart before, but if they are in an
                       epoxy package, it requires some lab gear and a lot
                       of safety. Typically, you’ll heat the part and use
                       fuming nitric acid (nasty stuff) in a cavity milled
                       into the part to remove the epoxy over the die.
                       While [100dollarhacker] doesn’t provide much
                       detail, he appears to have used a Tesla coil to do
                       it — no hot acid required.


                # ⚓ IT Wire ☛ Huawei_set_to_surmount_US_ban,_return_to_5G_phone
                  biz:_report⠀⇛


                       A second research firm estimated shipments could
                       reach 10 million units, but provided no details to
                       back up this conclusion.


                       According to the China Securities Journal, Huawei
                       was reported to have raised its 2023 mobile
                       shipment target to 40 million units in July, from
                       30 million at the start of the year. However, there
                       was no mention of 5G phones.


                       The research firms told Reuters that Huawei had
                       announced in March that it had made breakthroughs
                       in electronic design automation tools for chips
                       produced at and above 14nm.


                       Citing their own industry sources, these firms said
                       they believed Huawei’s EDA software could be used
                       with SMIC’s N+1 manufacturing process to make 7nm
                       chips.


                       SMIC was blocked by the US from buying EUV machines
                       from Dutch firm ASML; such machines are needed to
                       make 7nm chips.


                       However, some analysts said there were indications
                       SMIC had somehow managed to produce 7nm chips by
                       tweaking simpler DUV machines it could still
                       purchase freely from ASML.


          o § Health/Nutrition/Agriculture⠀➾


                # ⚓ Reason ☛ Was_Trump’s_Operation_Warp_Speed_a_Success?⠀⇛


                       Join Reason on YouTube and Facebook Thursday at 1
                       p.m. Eastern for a discussion about lessons from
                       the COVID-19 pandemic with Institute for Progress
                       founder Alec Stapp.


                # ⚓ The Atlantic ☛ The_Republican_Lab-Leak_Circus_Makes_One
                  Important_Point⠀⇛


                       “Lab leak” has too many meanings.


                # ⚓ Hong Kong Free Press ☛ Over_30%_of_Hong_Kong_students_have
                  ‘binge_gamed,’_as_experts_warn_of_mental_health_issues_linked
                  to_online_addiction⠀⇛


                       Over 30 per cent of Hong Kong students have “binge
                       gamed,” experts have said, adding that research
                       shows a correlation between online gaming addiction
                       and poor mental health.


                # ⚓ RFA ☛ China_signals_willingness_for_more_fiscal_stimulus⠀⇛


                       The much-anticipated rebound post COVID lockdowns
                       has so far failed to materialize.


                # ⚓ uni Michigan ☛ Michigan_Medicine_launches_PEACH_program_to
                  address_youth_health_inequities⠀⇛


                       Michigan Medicine launched the Program for Equity
                       in Adolescent & Child Health in February to combat
                       health inequities and develop interventions to
                       improve outcomes for patients across Michigan and
                       the United States. The program was initially
                       proposed before the COVID-19 pandemic, but its
                       establishment was delayed until July 2022 due to
                       insufficient funding.


                # ⚓ The Nation ☛ Amid_Partisan_Politicking,_Revelations_on_a
                  Covid_Origins_Article⠀⇛


                       On Tuesday, the House Select Subcommittee on the
                       Coronavirus Pandemic held an oversight hearing on
                       “The Proximal Origin of SARS-CoV-2,” a peer-
                       reviewed paper that played an influential role in
                       shaping the early public debate about the origin of
                       Covid-19. The paper was published in the journal
                       Nature Medicine in March 2020 and came out firmly
                       in favor of a natural origin for the virus, with
                       its five prominent authors writing that “we do not
                       believe any type of laboratory scenario is
                       plausible” in explaining the origin of SARS-CoV-2.


                # ⚓ The Nation ☛ When_Death_Is_the_Best_Choice,_Is_It_a_Choice
                  at_All?⠀⇛


                       As long as someone places Michal Kaliszan’s hands
                       on a keyboard and a mouse, he has enough strength
                       and dexterity to use a computer. Once his hands are
                       there, the 40-year-old software developer at
                       Blackberry can start his workday. But for anything
                       else—”personal care, activities, and daily
                       living”—he needs someone’s help.


                # ⚓ Federal News Network ☛ New_Zealand_prosecutor_alleges
                  tourists_were_not_warned_before_volcano_eruption_in_2019
                  killed_22⠀⇛


                       A New Zealand prosecutor says tourists received no
                       health and safety warnings before they landed on
                       the country’s most active volcano ahead of a 2019
                       eruption that killed 22 people. There were 47
                       people on White Island when superheated steam
                       erupted, and most of the 25 who survived had severe
                       burns. Prosecutor Kristy McDonald told the court as
                       a trial opened Tuesday that the eruption at the
                       popular tourist destination was not predictable but
                       was foreseeable. The island’s owners, their
                       management company and two tour operators are on
                       trial in Auckland District Court for allegedly
                       failing to adequately protect tourists and staff.


          o § Proprietary/Artificial Intelligence (AI)⠀➾


                # ⚓ Microsoft_Set_for_New_Round_of_Layoffs⠀⇛


                       The technological sector is still experiencing hard
                       times. Reportedly, Microsoft layoffs a number of
                       employees from its customer service, support, and
                       sales team.


                # ⚓ House_Republicans_interrogate_FTC’s_Khan_over_regulation_of
                  Big_Tech [Ed: ‘Conservatives’ are protecting Microsoft
                  again]⠀⇛


                       The chair of the Federal Trade Commission defended
                       her aggressive legal strategy toward the country’s
                       biggest technology companies Thursday as House
                       Republicans charged that the agency has become
                       overzealous and politicized under President Joe
                       Biden.


          o § Security⠀➾


                # ⚓ Security Week ☛ Hardcoded_Accounts_Allow_Full_Takeover_of
                  Technicolor_Routers⠀⇛


                       Multiple hardcoded accounts on the Technicolor
                       TG670 DSL gateway router can be used to completely
                       take over the impacted devices.


                # ⚓ Security Week ☛ Chinese_Cyberspies_Used_Forged
                  Authentication_Tokens_to_Hack_Government_Emails [Ed:
                  Misleading framing. Microsoft is at fault here, not the
                  expert here.]⠀⇛


                       Microsoft says a Chinese cyberespionage group
                       tracked as Storm-0558 has used forged
                       authentication tokens to access government emails.


                # ⚓ Trail Of Bits ☛ What_we_told_the_CFTC_about_blockchain
                  threats⠀⇛


                       Dan Guido, CEO In March, I joined the Commodity
                       Futures Trading Commission’s Technology Advisory
                       Committee (TAC), helping the regulatory agency
                       navigate the complexities of cybersecurity risks,
                       particularly in emerging technologies like AI and
                       blockchain. During the committee’s first meeting,


                # ⚓ Security Week ☛ Citrix_Patches_Critical_Vulnerability_in
                  Secure_Access_Client_for_Ubuntu [Ed: Proprietary software is
                  not "Secure Access Client"]⠀⇛


                       Citrix has patched a critical-severity
                       vulnerability in Secure Access client for Ubuntu
                       that could lead to remote code execution (RCE).


                # ⚓ Security Week ☛ Fortinet_Patches_Critical_FortiOS
                  Vulnerability_Leading_to_Remote_Code_Execution⠀⇛


                       Fortinet patches a critical-severity vulnerability
                       in FortiOS and FortiProxy that could lead to remote
                       code execution.


                # ⚓ Security Week ☛ SAP_Patches_Critical_Vulnerability_in_ECC
                  and_S/4HANA_Products⠀⇛


                       SAP on July 2023 Security Patch Day released 16 new
                       security notes, including one addressing a critical
                       vulnerability in ECC and S/4HANA (IS-OIL).


                # ⚓ Security Week ☛ MOVEit:_Testing_the_Limits_of_Supply_Chain
                  Security⠀⇛


                       The need for cyber resilience arises from the
                       growing realization that traditional security
                       measures are no longer enough to protect systems,
                       data, and the network from compromise.


                # ⚓ RFA ☛ Chinese_hackers_breached_US_email_servers_for_a_month
                  [Ed: Microsoft servers breached; they try to change the
                  narrative now]⠀⇛


                       National security adviser downplays a hack on
                       Microsoft-hosted government email servers.


                # ⚓ Security Week ☛ Microsoft_Revokes_Many_Signed_Drivers_Used
                  by_Chinese_Cybercriminals [Ed: Again, Microsoft is fully at
                  fault here, yet lousy publishers make it look like Microsoft
                  is the saviour]⠀⇛


                       Microsoft has revoked signed drivers used for post-
                       exploitation activity, in many cases by Chinese
                       cybercriminals.


                # ⚓ TwinCities Pioneer Press ☛ Chinese_hackers_breached_State
                  Dept.,_other_government_email_on_eve_of_Blinken_visit,
                  officials_say [Ed: The simpler way to put it, Microsoft
                  suffered a major breach, looks for political actors to
                  blame]⠀⇛


                       U.S. officials say state-backed Chinese hackers
                       foiled Microsoft’s cloud-based security and hacked
                       the email of officials at multiple U.S. agencies
                       that deal with China ahead of Secretary of State
                       Antony Blinken’s trip to Beijing last month. The
                       surgical, targeted espionage accessed the mailboxes
                       of a small number of individuals at an unspecified
                       number of U.S. agencies and was discovered by the
                       State Department. Officials said none of the
                       breached systems were classified. The hack was
                       disclosed late Tuesday by Microsoft, which said
                       email accounts were haced at about 25 organizations
                       globally beginning in mid-May. A U.S. official said
                       the number of U.S. organizations impacted was in
                       the single digits.


                # ⚓ Reproducible_Builds:_Reproducible_Builds_in_June_2023⠀⇛


                       Our summits are a unique gathering that brings
                       together attendees from diverse projects, united by
                       a shared vision of advancing the Reproducible
                       Builds effort. During this enriching event,
                       participants will have the opportunity to engage in
                       discussions, establish connections and exchange
                       ideas to drive progress in this vital field. Our
                       aim is to create an inclusive space that fosters
                       collaboration, innovation and problem-solving. We
                       are thrilled to host the seventh edition of this
                       exciting event, following the success of previous
                       summits in various iconic locations around the
                       world, including Venice, Marrakesh, Paris, Berlin
                       and Athens.


                # ⚓ Silicon Angle ☛ Bugcrowd_finds_hackers_are_more_skeptical
                  about_AI_than_Silicon_Valley_investors⠀⇛


                       Crowdsourced cybersecurity startup Bugcrowd
                       Inc. has today released a new report that found
                       hackers are more skeptical than Silicon Valley
                       investors when it comes to artificial intelligence.


                # ⚓ IT Wire ☛ Microsoft_cloud_breached,_but_US_Government_had
                  to_tell_it_so⠀⇛


                       The email account of US Commerce Secretary Gina
                       Raimondo was among a slew of accounts breached at
                       both the State and Commerce Departments by
                       attackers, claimed to be from China, who gained
                       access through a vulnerability in Microsoft’s Azure
                       cloud platform.


                # ⚓ IT Wire ☛ Dragos_helps_US_government_agency_keep_Rockwell
                  bugs_in_check⠀⇛


                       A statement from Dragos said Rockwell had analysed
                       a novel exploit capability affecting select modules
                       in ControlLogix EtherNet/IP communication module
                       models, 1756-EN2, 1756-EN3 (CVE-2023-3595), and
                       1756-EN4 (CVE-2023-3596). The exploit was
                       attributed to a state actor.


                       Rockwell, one of the bigger providers of providers
                       of industrial automation and digital transformation
                       technologies, reported the two vulnerabilities to
                       the US Cybersecurity and Infrastructure Security
                       Agency.


                       Dragos said it had worked in advance of the
                       disclosure “to co-ordinate and help assess the
                       extent of the threat”.


                # ⚓ Bleeping Computer ☛ Microsoft_July_2023_Patch_Tuesday_warns
                  of_6_zero-days,_132_flaws⠀⇛


                       Today is Microsoft’s July 2023 Patch Tuesday, with
                       security updates for 132 flaws, including six
                       actively exploited and thirty-seven remote code
                       execution vulnerabilities.


                # ⚓ Scoop News Group ☛ Hackers_based_in_China_nab_email_data
                  from_US_government_agencies [Ed: This article does a lousy
                  job at explaining that Microsoft_was_at_fault_here,_not
                  China. Microsoft uses xenophobia to distract from its
                  culpability.]⠀⇛


                       A Chinese hacking group focused on espionage
                       utilized a flaw in a Microsoft authentication
                       system to target the U.S. government.


                # ⚓ Hong Kong Free Press ☛ China-based_hackers_breached_email
                  accounts_of_US_government_agencies,_Microsoft_says [Ed:
                  Again, this is a misleading framing. Microsoft isn’t the
                  expert, Microsoft is the party at fault. Microsoft_is_an
                  ultra-racist_company.]⠀⇛


                       Chinese-based hackers seeking intelligence
                       information breached the email accounts of a number
                       of US government agencies, computer giant Microsoft
                       said. “The threat actor Microsoft links to this
                       incident is an adversary based in China that
                       Microsoft calls Storm-0558,” the company said in a
                       blog post late Tuesday.


                # ⚓ New York Times ☛ Chinese_Hackers_Targeted_Commerce
                  Secretary_and_Other_U.S._Officials [Ed: Way to distract from
                  Microsoft's incompetence; why not sue Microsoft for this?]⠀⇛


                       The hackers took aim at specific email accounts in
                       the State and Commerce Departments, officials said.


                # § Privacy/Surveillance⠀➾


                      # ⚓ IT Wire ☛ Google_hit_with_class_action_over_plans_to
                        use_public_info_for_AI_training⠀⇛


                             As iTWire reported on Tuesday, Google is
                             taking_pains_to_hide_its_latest_intentions,
                             shifting the text detailing it from web page
                             to web page.


                             The company also appears to have scrubbed a
                             link to the page that originally hosted
                             details of its plan from the Internet
                             Archive. The archive, run by technologist
                             Brewster Kahle, crawls the Web periodically
                             and stores versions of Web pages with the
                             date specified.


                             As Google has not made any public statement
                             about the lawsuit, iTWire has contacted the
                             company for its take.


                             Contacted for comment, Ryan Clarkson,
                             managing partner of Clarkson Law Firm, said
                             in a statement: “We have only recently
                             learned that Google has been taking
                             everything ever created or shared online by
                             millions of Internet users, including all our
                             personal information, creative works, and
                             professional works, and using all of that
                             data to train and build commercial AI
                             products.


                      # ⚓ The Dissenter ☛ UK_Police_Copied_Publisher’s_Phone
                        Data_After_Stopping_Them_Under_Anti-Terrorism_Law⠀⇛


                      # ⚓ YLE ☛ Finland_may_make_emergency_services_video_calls
                        a_reality⠀⇛


                             Using video chats would also raise questions
                             about data security, as the privacy of
                             callers needs to be insured, according to an
                             expert in the field.


          o § Defence/Aggression⠀➾


                # ⚓ New York Times ☛ Turkey_Wants_Syrian_Refugees_to_Go_Home⠀⇛


                       Syrians in Turkey do not want to go home. They may
                       not have the choice.


                # ⚓ Car_bombing_in_northern_Syria_kills_five_civilians⠀⇛


                       A child was reportedly among those killed in the
                       bombing. No group has claimed responsibility for
                       the attck so far.


                # ⚓ teleSUR ☛ UN_Security_Council_Condemns_Attack_Against
                  MINUSCA⠀⇛


                       “The Secretary-General expresses his deepest
                       condolences to the family of the fallen
                       peacekeeper…”


                # § War in Ukraine⠀➾


                      # ⚓ European Commission ☛ Statement_by_the_President_of
                        the_European_Commission_on_the_G7_declaration_to_be
                        adopted_in_the_margins_of_the_NATO_summit⠀⇛


                             European Commission Statement Brussels, 12
                             Jul 2023 Since day one of the invasion, the
                             European Union and its G7 partners have stood
                             shoulder to shoulder with Ukraine.


                      # ⚓ LRT ☛ Lithuanian_intelligence_investigates_alleged
                        leak_of_NATO_summit_security_information⠀⇛


                             After hackers posted on social networks what
                             they claim to be sensitive details of the
                             NATO summit in Vilnius, Lithuania’s
                             intelligence service says the incident is
                             under investigation.


                      # ⚓ RFERL ☛ Neutral_Moldova_Vows_‘Intensified,
                        Accelerated_Cooperation’_With_NATO⠀⇛


                             Moldovan Foreign Minister Nicu Popescu says
                             his country’s prosperity and security can
                             only be guaranteed through its eventual
                             membership in the European Union and through
                             “intensified, accelerated cooperation with
                             NATO,” amid discussion on whether the current
                             policy of neutrality is insufficient.


                      # ⚓ Federal News Network ☛ Thousands_of_Ukraine_civilians
                        are_being_held_in_Russian_prisons._Russia_plans_to
                        build_many_more⠀⇛


                             Thousands of Ukrainian civilians are being
                             detained across Russia and the Ukrainian
                             territories it occupies, in centers ranging
                             from brand-new wings in Russian prisons to
                             clammy basements. Most have no status under
                             Russian law. An Associated Press
                             investigation also found that Russia is
                             making plans to hold potentially thousands
                             more. A Russian government document obtained
                             by the AP dating to January outlined plans to
                             create 25 new prison colonies and six other
                             detention centers in occupied Ukraine by
                             2026. In addition, Russian President Vladimir
                             Putin signed a decree in May that would make
                             it easier for Russia to deport Ukrainians who
                             resist Russian occupation deep into Russia
                             indefinitely, which has already happened in
                             multiple cases documented by the AP.


                      # ⚓ Federal News Network ☛ Takeaways_from_the_AP
                        investigation_into_thousands_of_Ukrainian_civilians
                        held_by_Russia_in_prisons⠀⇛


                             Thousands of Ukrainian civilians are detained
                             in a network of formal and informal prisons
                             across Russia and the territories it
                             occupies, where they endure routine torture,
                             psychological abuse and even slave labor. And
                             a document obtained by The Associated Press
                             shows that Russia plans to build dozens of
                             new prisons. The AP spoke with dozens of
                             people, including 20 former detainees, ex-
                             prisoners of war, the families of more than a
                             dozen civilians in detention, two Ukrainian
                             intelligence officials and a government
                             negotiator. Their accounts, as well as
                             satellite imagery, social media, government
                             documents and copies of letters delivered by
                             the Red Cross, confirm a widescale Russian
                             system of detention and abuse of civilians
                             that goes directly against the Geneva
                             Conventions.


                      # ⚓ Federal News Network ☛ El_Nino_is_threatening_rice
                        crops_while_grain_supplies_already_are_squeezed_by_the
                        war_in_Ukraine⠀⇛


                             Experts are warning that rice production
                             across South and Southeast Asia is likely to
                             suffer with the world heading into an El
                             Nino. Climate change is causing stronger El
                             Ninos, which alter global weather patterns
                             and heat up an already warming planet.
                             Thirsty crops like rice are particularly
                             vulnerable, especially when they are rainfed
                             and not irrigated. Experts say this will
                             worsen food insecurity at a time when
                             supplies of grain and fertilizer are
                             recovering from disruptions caused by the war
                             in Ukraine. Global demand is soaring, while
                             yields globally have been stagnating for
                             decades because of climate change and limits
                             to productivity gains.


                      # ⚓ Federal News Network ☛ Two_hospitalized,_buildings
                        damaged_in_Kyiv_by_Russian_drone_strike_overnight⠀⇛


                             Russian forces unleashed a barrage of self-
                             exploding Iranian-made Shahed drones early
                             Thursday morning, according to the Kyiv City
                             Administration. Nearly ten drones were
                             identified and shot down, the municipal
                             authorities wrote on Telegram. Explosions
                             were heard in different parts of the city,
                             and debris from intercepted drones fell on
                             five districts of the Ukrainian capital. Some
                             buildings were damaged, and two people
                             hospitalized with shrapnel wounds.


                      # ⚓ AntiWar ☛ Peace_in_Ukraine?_Faltering_Counter-
                        Offensive,_Failed_Coup⠀⇛


                             So far, Ukraine’s month-long “counter-
                             offensive” has been a very costly failure.
                             Attacks on Russian forces in the southern
                             province of Zaporozhe have yet to achieve any
                             significant strategic success, and the same
                             is true all along the line of contact.


                      # ⚓ NYPost ☛ Give_Ukraine_all_it_needs_to_fight_off
                        Russia_and_join_NATO⠀⇛


                             President Biden declared Ukraine cannot join
                             NATO until the Kremlin’s invasion of the
                             country has ended.


                      # ⚓ Atlantic Council ☛ Ukraine’s_Andriy_Yermak_and
                        Lithuania’s_Gabrielius_Landsbergis_on_the_path_ahead
                        for_Ukraine_to_join_NATO⠀⇛


                             Yermak and Landsbergis dove into the first
                             day of the NATO Summit and leaders’
                             commitments to Ukraine.


                             >


                      # ⚓ Atlantic Council ☛ Experts_react:_What_NATO’s_Vilnius
                        summit_means_for_Ukraine_and_the_Alliance’s_future⠀⇛


                             Atlantic Council experts decode the summit’s
                             implications for Ukraine’s membership, NATO’s
                             approach to China, and more.


                      # ⚓ France24 ☛ Live:_F-16_jets_in_Ukraine_will_be_seen_as
                        ‘nuclear’_threat,_says_Russia⠀⇛


                             Russia will regard Western F-16 fighter jets
                             sent to Ukraine as a “nuclear” threat because
                             of their capacity to carry atomic weapons,
                             Foreign Minister Sergei Lavrov said on
                             Thursday. Lavrov’s words came as air strikes
                             on Kyiv killed one person and wounded at
                             least four others, authorities said on
                             Thursday, with explosions heard across the
                             Ukrainian capital in the third night of
                             attacks.


                      # ⚓ France24 ☛ Ukraine_collects_G7_security_promises,
                        fails_to_secure_NATO_membership⠀⇛


                             Ukrainian President Volodymyr Zelenskyy
                             welcomed fresh pledges of weapons and
                             ammunition to fight Russia’s invasion along
                             with longer-term security commitments from
                             the West on Wednesday even as he expressed
                             disappointment over the lack of a clear path
                             for his country to join NATO as the alliance
                             wrapped up its annual summit.


                      # ⚓ France24 ☛ Biden,_Macron_vow_long-term_support_for
                        Ukraine_at_NATO_summit⠀⇛


                             US President Joe Biden on Wednesday said
                             NATO’s ‘commitment to Ukraine will not
                             weaken’ as he vowed to continue supporting
                             the embattled country. French President
                             Emmanuel Macron earlier echoed Biden’s
                             comments, pointing out that Russia was
                             “politically and militarily fragile”, while
                             Ukraine had the lasting support of its
                             allies.


                      # ⚓ LRT ☛ Zelensky_in_Vilnius:_G7_pledges_are_no
                        replacement_for_NATO_membership⠀⇛


                             Ukrainian President Volodymyr Zelensky
                             welcomed new security commitments from the G7
                             countries in Vilnius on Wednesday, but warned
                             that these could not be a substitute for his
                             country’s eventual membership in NATO.


                      # ⚓ LRT ☛ First_Lady_Olena_Zelenska_visits_Ukraine_centre
                        in_Vilnius⠀⇛


                             It is important to keep people’s faith and
                             hope alive in the face of Russia’s invasion
                             of Ukraine and to prepare for the
                             reconstruction of the country, Olena
                             Zelenska, the spouse of President Volodymyr
                             Zelensky, said while visiting Vilnius.


                      # ⚓ RFERL ☛ Russia_Targets_Kyiv,_Other_Ukrainian_Cities
                        With_Deadly_Drone_Strikes_For_Third_Day_In_A_Row⠀⇛


                             Russia launched a third consecutive day of
                             drone and missile strikes on Kyiv and other
                             Ukrainian regions, killing at least one
                             person, wounding several others, and causing
                             material damage despite air defenses
                             succeeding in destroying almost all incoming
                             projectiles.


                      # ⚓ LRT ☛ Vilnius_NATO_summit_2nd_day:_Zelensky_welcomes
                        ‘significant_defence_victory’_for_Ukraine⠀⇛


                             The NATO-Ukraine Council held its first
                             meeting on Wednesday as the two-day NATO
                             summit concludes in Vilnius.


                      # ⚓ LRT ☛ Zelensky_thanks_Lithuania:_‘We_feel_a_natural
                        human_connection’⠀⇛


                             Ukrainian President Volodymyr Zelensky has
                             thanked Lithuania for the support displayed
                             during the NATO summit in Vilnius.


                      # ⚓ France24 ☛ Azov_commanders_return_home:_A_diplomatic
                        win_for_Ukraine,_a_slap_in_the_face_for_Russia⠀⇛


                             When Ukraine’s President Volodymyr Zelensky
                             returned from a visit to Turkey last weekend,
                             he did not board the plane alone. Joining him
                             were five former Azov commanders, captured by
                             Russia in the 2022 siege of Mariupol and
                             later handed over to Turkey in a prisoner
                             exchange. Their return to Ukraine was a major
                             diplomatic win for Ukraine and a slap in the
                             face for Russia, who has since accused Turkey
                             of violating the terms of the deal to score
                             points with the West.


                      # ⚓ RFERL ☛ Russian_General_Says_Summarily_Dismissed
                        After_Speaking_Out⠀⇛


                             Russian Major General Ivan Popov, the
                             commander of the units currently involved in
                             the fighting in Ukraine’s Zaporizhzhya
                             region, says he was instantly dismissed after
                             complaining to Chief of the General Staff
                             Valery Gerasimov about the abysmal situation
                             of the Russian troops at the front.


                      # ⚓ RFERL ☛ Russian_Spy_Chief_Confirms_Call_With_CIA
                        Counterpart,_Says_They_Discussed_Ukraine⠀⇛


                             Russian foreign intelligence chief Sergei
                             Naryshkin said that he and CIA counterpart
                             William Burns had discussed Ukraine in a
                             phone call last month, TASS said on July 12.


                      # ⚓ RFERL ☛ Ukrainian_Ambassador_Praises_French_Decision
                        To_Send_Long-Range_Missiles,_Calls_On_Others_To_Follow
                        Suit⠀⇛


                             Ukrainian Ambassador to the United States
                             Oksana Markarova praised the recent French
                             decision to send Ukraine long-range missiles
                             at a forum in Washington on July 12 and said
                             any other county that has this type of
                             missile should also send them to Ukraine’s
                             front lines.


                      # ⚓ RFERL ☛ Kuleba_Says_Ukraine’s_NATO_Path_Shorter
                        Despite_‘Mixed’_Feelings_Over_Declaration⠀⇛


                             Despite failing to receive a detailed plan or
                             timeline to join NATO, Ukrainian Foreign
                             Minister Dmytro Kuleba says the military
                             alliance’s members have made the country’s
                             path to joining the alliance “shorter” and
                             “absolutely irreversible” at a summit in
                             Vilnius.


                      # ⚓ teleSUR ☛ G7_Countries_Vows_to_Guarantee_Ukraine’s
                        Long-Term_Security⠀⇛


                             The G7 guarantees will allow Ukraine to
                             “build an army that can defend itself,”
                             said Amanda Slote, the U.S. National Security
                             Council’s senior director for Europe.


                      # ⚓ teleSUR ☛ NATO_Fails_to_Give_Timetable_for_Ukraine
                        Membership_at_Summit⠀⇛


                             “It’s unprecedented and absurd when a time
                             frame is not set either for the invitation or
                             for Ukraine’s membership,” President
                             Zelensky stated.


                      # ⚓ RFERL ☛ Russia_Launches_Fresh_Drone_Strikes_On_Kyiv,
                        Other_Ukrainian_Cities_Amid_Heavy_Fighhting_In_East,
                        South⠀⇛


                             Russia on July 12 launched more kamikaze
                             drones on Kyiv and other Ukrainian cities for
                             a second day in a row, while shelling of
                             other cities and towns in eastern Ukraine
                             caused death and injuries.


                      # ⚓ RFERL ☛ NATO_Summit_Removed_Any_Doubts_About
                        Ukraine’s_Future_Membership_In_Alliance,_Zelenskiy
                        Says⠀⇛


                             Ukrainian President Volodymyr Zelenskiy said
                             Ukraine “removed any doubts and ambiguities
                             about whether Ukraine will be in NATO” during
                             the alliance’s two-day summit in Vilnius that
                             ended on July 12.


                      # ⚓ New York Times ☛ Despite_Success_at_NATO_Summit,
                        Divisions_Remain_Over_Ukraine⠀⇛


                             The alliance added Sweden, laid out new
                             ambitions for itself and offered long-term
                             support for Ukraine, promising membership
                             someday. But Kyiv wanted more.


                      # ⚓ RFERL ☛ Ukraine,_11_Countries_Sign_Memorandum_On
                        Training_Pilots_On_F-16s⠀⇛


                             Defense Minister Oleksiy Reznikov has said
                             that Ukraine and 11 countries signed a
                             memorandum regarding the training of
                             Ukrainian pilots on F-16 fighter jets.


                      # ⚓ TwinCities Pioneer Press ☛ Ukraine_wins_G7_security
                        pledges,_but_NATO_membership_remains_elusive⠀⇛


                             The United States and other major
                             industrialized nations are pledging long-term
                             security assistance for Ukraine as it
                             continues to fight Russia’s invasion. At the
                             annual NATO summit, G7 countries began laying
                             the groundwork for member nations to
                             negotiate individual security agreements with
                             Ukraine. Ukrainian President Volodymyr
                             Zelenskyy says the commitments will be a
                             bridge toward eventual NATO membership for
                             his country. He is desperate for Ukraine to
                             become a NATO member so it can take advantage
                             of the alliance’s security guarantees. But
                             membership for Ukraine has remained elusive
                             at the summit, held this year in Lithuania.
                             Zelenskyy and Biden met separately as well.


                      # ⚓ Democracy Now ☛ NATO_Summit:_Will_Ukraine’s_Demand_to
                        Join_Military_Alliance_Help_Prolong_the_War?⠀⇛


                             During a major summit in Lithuania, NATO
                             Secretary General Jens Stoltenberg said
                             Ukraine is “closer than ever” to joining
                             NATO, but the military alliance is resisting
                             calls to give Kyiv a timeline to membership.
                             Ukrainian President Volodymyr Zelensky is
                             attending the NATO summit and is meeting with
                             President Biden and other world leaders. This
                             comes as a number of nations have announced
                             new military assistance for Ukraine. “The
                             main condition for Ukraine membership [to
                             NATO] is an end to this war,” says Andreas
                             Zumach, defense correspondent for the left-
                             wing German daily Die Tageszeitung. We also
                             speak with CodePink’s Medea Benjamin, who has
                             just returned from a visit to Ukraine, where
                             she says people are “being fed a daily diet
                             of irrational expectations” by the government
                             about how Ukrainian forces are winning the
                             war. The truth, she says, is “there is a
                             stalemate on the ground,” and calls for
                             countries to come to the negotiation table.


                      # ⚓ Meduza ☛ ‘We_don’t_know_what_will_happen_after
                        Zelensky’_Political_scientist_Kimberly_Marten_on_NATO’s
                        refusal_to_give_Ukraine_a_membership_timeline_—
                        Meduza⠀⇛


                             July 12 is the final day of the 2023 NATO
                             Summit in Vilnius, and by all appearances,
                             Ukraine will not receive an official
                             invitation to join the alliance, no matter
                             how much Zelensky accuses it of displaying
                             “weakness.” At the same time, it’s not clear
                             what other options Russia has for escalation
                             short of using nuclear weapons; it’s already
                             killed thousands of civilians and destroyed
                             massive amounts of infrastructure. So what is
                             NATO afraid of? Meduza spoke to political
                             scientist Kimberly Marten, an expert on the
                             history of Russia-NATO relations and a
                             professor at Barnard College and Columbia
                             University’s Harriman Institute, to find out.


                      # ⚓ New York Times ☛ What_NATO_Said_About_Ukraine:_Key
                        Commitments⠀⇛


                             Ukraine’s president wanted firmer commitments
                             about when his country could join, but NATO’s
                             31 members did make some new pledges to draw
                             Kyiv closer to the alliance.


                      # ⚓ New York Times ☛ A_Turning_Point_for_Military
                        Spending⠀⇛


                             Russia’s invasion of Ukraine has led to a new
                             willingness for countries to pay for their
                             own defense.


                      # ⚓ Meduza ☛ A_sham_trial_Russia_has_put_Ukrainian
                        prisoners_of_war_connected_with_the_Azov_Brigade_on
                        trial_for_terrorism_—_Meduza⠀⇛


                             After the siege of Mariupol by Russian forces
                             in the spring of 2022, the Russian
                             authorities took prisoner thousands of people
                             who had been involved in the defense of the
                             city’s Azovstal factory or associated with
                             the Azov Brigade, a part of Ukraine’s Armed
                             Forces. Now, 24 of those people have been
                             transferred from the Russian-occupied Donetsk
                             to Rostov-on-Don, in Russia proper, where
                             they’re standing trial on charges of
                             “forcibly seizing power” and “participating
                             in a terrorist organization.” Photos from the
                             court proceedings show the defendants looking
                             emaciated and pale. The multiple Ukrainian
                             and Western human rights organizations that
                             have condemned the trial say Russia is
                             violating — not for the first time — the
                             Geneva Conventions on the Treatment of
                             Prisoners of War.


                      # ⚓ New York Times ☛ Russia-Ukraine_War:_‘We_Will_Not
                        Waver’:_Biden_Affirms_Support_for_Ukraine_After_NATO
                        Summit⠀⇛


                             The president, in a speech at Vilnius
                             University, insisted that the alliance’s
                             unity would hold. President Volodymyr
                             Zelensky of Ukraine stressed his gratitude
                             for NATO’s military support. Back in Kyiv,
                             Russia targeted the capital for a third night
                             in a row.


                      # ⚓ New York Times ☛ Ukraine_Is_Sacrificing_For_Us⠀⇛


                             The Baltic countries got Russia right when
                             much of the West got it wrong.


                      # ⚓ Meduza ☛ G7_announces_security_guarantees_for_Ukraine
                        —_Meduza⠀⇛


                             The G7 countries have announced security
                             guarantees for Ukraine and promised to
                             provide ongoing military support, reported
                             Japan’s Prime Minister Fumio Kishida during a
                             joint briefing with U.S. president Joe Biden
                             and Ukrainian president Volodymyr Zelensky.


                      # ⚓ New York Times ☛ Biden_Braces_NATO_for_Long_Conflict
                        With_Russia,_Making_Cold_War_Parallel⠀⇛


                             Concluding a NATO summit focused on the war
                             in Ukraine and other fast-changing
                             challenges, President Biden vowed that the
                             alliance would oppose Russian aggression for
                             as long as needed.


                      # ⚓ Meduza ☛ Russian_State_Duma_deputy_confirms_general
                        killed_by_Ukrainian_missile_strike_—_Meduza⠀⇛


                             Russian State Duma deputy and former army
                             commander Andrey Gurulev confirmed on a talk
                             show Wednesday that Lieutenant General Oleg
                             Tsokov, a commander of the country’s 144th
                             Motorized Rifle Division, was killed in
                             Ukraine.


                      # ⚓ The Nation ☛ All_Sides_in_the_Ukraine_War_Have_Been
                        Using_Cluster_Bombs_Since_2014⠀⇛


                             President Joe Biden’s decision to give
                             cluster munitions to Ukraine triggered
                             widespread concern and protests, given that
                             the bombs—which break up into smaller-sized
                             bomblets that indiscriminately blanket the
                             target area and invariably result in the
                             slaughter of civilians—are widely considered
                             to be in a can. Even close allies like Canada
                             and the UK bristled at the move to provide
                             Kyiv with arms that are banned by over 100
                             nations.


                      # ⚓ Michael West Media ☛ Australia_boosts_Bushmaster
                        military_aid_to_Ukraine⠀⇛


                             They are tough, agile and saving lives.


                             Australia’s decision to provide a further 30
                             Bushmaster vehicles has been welcomed
                             by Ukraine’s ambassador Vasyl Myroshnychenko.


                      # ⚓ uni Michigan ☛ Who’s_really_bloodthirsty?_The_West’s
                        continuous_Russophobia_intensifies_the_likelihood_of
                        confrontation⠀⇛


                      # ⚓ RFA ☛ North_Korean_college_student_goes_missing_in
                        Russian_Far_East⠀⇛


                             Last seen in Khabarovsk, Kim Tae Sung appears
                             to be latest case of North Korean seeking to
                             escape


                      # ⚓ RFERL ☛ Rublev’s_Trinity_Icon_Transferred_To_Russian
                        Orthodox_Church_For_49_Years⠀⇛


                             Russia’s most famous icon — the Trinity by
                             Andrei Rublev — was officially transferred to
                             the use of Russia’s Orthodox Church for a
                             period of 49 years, despite protests from
                             Russia’s museum community.


                      # ⚓ YLE ☛ Russia_cancelling_Finns’_entry_visas_at_some
                        border_posts⠀⇛


                             Russian authorities have tightened entry
                             requirements at the Vartius border crossing
                             point in Kuhmo since Monday.


                      # ⚓ New York Times ☛ Missing_Russian_General_Sergei
                        Surovikin_Is_‘Taking_a_Rest’,_Lawmaker_Says⠀⇛


                             A Russian lawmaker says that Gen. Sergei
                             Surovikin, who has not been seen in public
                             since a short-lived mutiny, has been “taking
                             a rest.”


                      # ⚓ New York Times ☛ Biden_Promised_to_Do_‘Whatever_It
                        Takes’_for_Evan_Gershkovich’s_Return,_His_Parents
                        Said⠀⇛


                             The parents of Evan Gershkovich, the American
                             reporter jailed in Russia, said in a
                             broadcast interview that President Biden had
                             promised to do “whatever it takes” to secure
                             his release.


                      # ⚓ Meduza ☛ Wagner_Group_reportedly_hands_over_military
                        equipment_and_ammunition_to_Russia’s_Defense_Ministry_—
                        Meduza⠀⇛


                             Russia’s Defense Ministry announced that
                             Wagner Group has finished handing over its
                             weapons and military equipment, “as planned.”


                      # ⚓ Meduza ☛ Russian_lawmakers_propose_displaying_bombed-
                        out_NATO_military_vehicles_in_Moscow_—_Meduza⠀⇛


                             At a plenary meeting of Russia’s State Duma
                             on Wednesday, legislator Vladimir Isakov
                             proposed displaying ruined NATO military
                             equipment in Moscow to mark the anniversary
                             of World War II’s Battle of Prokhorovka.


                      # ⚓ Meduza ☛ Russian_intelligence_chief_Naryshkin_talks
                        about_conversation_with_CIA_head_following_Prigozhin
                        mutiny_—_Meduza⠀⇛


                             Sergey Naryshkin, head of the Foreign
                             Intelligence Service (SVR), has told TASS
                             that he spoke with CIA Director William Burns
                             by phone in late June.


                      # ⚓ Meduza ☛ What_he_leaves_behind_Yevgeny_Prigozhin_owns
                        and_controls_a_vast_network_of_‘trolls,’_media_outlets,
                        and_profitable_businesses._This_was_his_empire_before
                        he_bet_the_farm_on_Wagner_Group._—_Meduza⠀⇛


                             Yevgeny Prigozhin isn’t just the founder of
                             the Wagner Group mercenary organization, and
                             he’s not only the man who staged an armed
                             rebellion last weekend. Prigozhin is also a
                             billionaire who owns a variety of businesses
                             — a fact that Vladimir Putin emphasized on
                             Tuesday, June 27, when telling a group of
                             Defense Ministry officers about Prigozhin’s
                             vast earnings on state catering contracts.
                             Journalists from the news outlet Bumaga in
                             St. Petersburg, where most of Prigozhin’s
                             assets are based, spoke to the billionaire’s
                             local business partners to find out what is
                             now happening with his non-mercenary
                             companies. Meduza shares the following
                             English-language adaptation of Bumaga’s
                             story.


                      # ⚓ Meduza ☛ ‘There’s_simply_no_one_to_root_for_here’
                        What_comes_next_after_Prigozhin’s_attempted_rebellion?
                        Meduza’s_readers_try_to_make_sense_of_what_happened_and
                        what_it_means_for_the_future._—_Meduza⠀⇛


                             Yevgeny Prigozhin’s attempted rebellion went
                             on for less than 24 hours when, at his
                             command, Wagner mercenaries stopped their
                             “march of justice” and left Rostov-on-Don —
                             the only city they managed to occupy. What
                             can we make of all this? Meduza asked its
                             readers to explain what they think really
                             happened on June 24, how they feel about it,
                             and what they expect to happen next.


          o § Environment⠀➾


                # ⚓ Democracy Now ☛ “A_Climate-Changed_World”:_Vermont
                  Confronts_Historic_Flooding_Again,_12_Years_After_Hurricane
                  Irene⠀⇛


                       Parts of Vermont experienced their worst flooding
                       this week in nearly a century after two months’
                       worth of rain fell over the course of 48 hours.
                       Nearly 100 people have been rescued, and locals are
                       deeply concerned for the unhoused residents. “The
                       state has really been hammered,” says journalist
                       David Goodman in Waterbury. The host of the public
                       affairs podcast and radio show The Vermont
                       Conversation explains how the town adapted to
                       flooding caused by Hurricane Irene, and calls for
                       the state to adapt rather than simply replace
                       damaged infrastructure: “​​In a climate changed
                       world, that doesn’t work.”


                # ⚓ Off Guardian ☛ Reality_Check:_No,_we_didn’t_just_have_“the
                  hottest_week_in_100,000_years”⠀⇛


                       Kit Knightly The buzz in the Climate Change news is
                       that the five hottest days in the last 100,000
                       years all happened last week, according to the
                       World Meteorological Organization.


                # ⚓ Quartz ☛ The_North_Atlantic_ocean_is_the_warmest_it’s_ever
                  been⠀⇛


                       The North Atlantic ocean is getting less_frigid,
                       with 2023 shaping up to be the warmest year on
                       record.


                # ⚓ New York Times ☛ Rising_Heat_Underground_Is_Sinking_Chicago
                  Ever_So_Slightly⠀⇛


                       Basements and train tunnels constantly leak heat,
                       causing the land to sink and straining building
                       foundations. Scientists call it “underground
                       climate change.”


                # ⚓ Axios ☛ Expansive,_intense_heat_wave_is_only_getting
                  started,_NWS_warns⠀⇛


                       An “extremely dangerous” heat_wave is ramping up
                       from Florida to California, and is poised to topple
                       records and threaten public health.


                       The big picture:The extreme heat has prompted the
                       National Weather Service to issue heat alerts for
                       more than 86 million people, according_to_heat.gov,
                       with the hottest temperatures destined for the
                       Southwest.


                # ⚓ Democracy Now ☛ Texas_Governor_Outlaws_Life-Saving_Water
                  Breaks_for_Workers_as_Climate_Crisis_Fuels_Heat_Waves⠀⇛


                       We take a closer look at the impact of the massive
                       heat dome in Texas, where extreme heat is bearing
                       down on some of the state’s most vulnerable
                       populations, including workers and prisoners. At
                       least three people have died after working in
                       triple-digit heat, just as Republican Governor Greg
                       Abbott signs into law a new measure that overrides
                       mandatory water breaks for workers. Meanwhile, 32
                       people have been reported to have died in Texas
                       prisons, most of which lack air conditioning and
                       are prone to increased rates of heat-induced
                       cardiac events. We are joined on Democracy Now! by
                       Steven Monacelli in Dallas, who is The Texas
                       Observer’s special investigative correspondent. His
                       recent piece is headlined “Texans Die from Heat
                       After Governor Bans Mandatory Water Breaks.”


                # ⚓ New York Times ☛ Summer_Heat_Killed_61,000_in_Europe_in
                  2022,_Study_Says⠀⇛


                       Researchers suggest that strategies to cope with
                       higher temperatures aren’t keeping pace with global
                       warming.


                # § Energy/Transportation⠀➾


                      # ⚓ teleSUR ☛ Iran_Seeks_Dialogue_to_Resolve_Dispute_Over
                        Maritime_Gas_Field⠀⇛


                             Kuwait and Riyadh rejected Iran’s rights in
                             Al Dorra oilfield, insisting that the
                             “resources are jointly owned by Saudi Arabia
                             and Kuwait only.”


          o § Finance⠀➾


                # ⚓ Cirrus_Logic_Layoffs_2023:_What_to_Know_About_the_Latest
                  CRUS_Job_Cuts⠀⇛


                       Cirrus Logic says that it is laying off 5% of its
                       global workforce. The company says that this
                       reduction is due to trouble with a product release
                       and overall market conditions. That product was
                       originally set to come out this fall, but will no
                       longer come to market as expected.


                # ⚓ ABP ☛ Sachin_Bansal’s_Navi_Technologies_Lays_Off_Nearly_200
                  Employees:_Report⠀⇛


                       According to Navi technologies’ draft IPO paper,
                       the company had 4,680 employees as of December 31,
                       2021


                # ⚓ Scheerpost ☛ Why_Are_There_No_Slums_in_China?⠀⇛


                       Walking through China’s cities, you will quickly
                       notice the absence of large slums or pervasive
                       homelessness common to the rest of the world.


                # ⚓ Scheerpost ☛ Ellen_Brown:_The_Federal_Debt_Trap:_Issues_and
                  Possible_Solutions⠀⇛


                       “Rather than collecting taxes from the wealthy,”
                       wrote the New York Times Editorial Board in a July
                       7 opinion piece, “the government is paying the
                       wealthy to borrow their money.” 


                # ⚓ Michael West Media ☛ CBA_customers_dipping_into_savings_and
                  tightening_belts⠀⇛


                       Young home owners who bought during the COVID-19
                       pandemic are pulling back their spending sharply as
                       interest rates rise and cost of living pressures
                       persist.


                       Commonwealth Bank of Australia head Matt Comyn has
                       told a federal parliamentary inquiry many
                       households are clearly feeling the strain, hauling
                       in their discretionary spending and dipping into
                       savings.


                # ⚓ The Telegraph UK ☛ Pound_hits_fresh_15-month_high_as_rally
                  continues⠀⇛


                       The pound has tipped above $1.31 for the first time
                       since April last year after wholesale inflation in
                       the US came to a near standstill.


                       Sterling has risen for a sixth session to a new 15-
                       month high as it was also boosted by data showing
                       the UK economy shrank by less than expected in May.


                       US producer prices barely rose in June from a year
                       earlier, gaining 0.1pc in the smallest advance
                       since 2020, according to the Bureau of Labor
                       Statistics.


                # ⚓ Michael West Media ☛ Robodebt_and_Robododger:_PwC’s
                  consulting_operation_revealed⠀⇛


                       The double standard is glaring, further illuminated
                       by the findings of the Robodebt Royal Commission.
                       While the AFP dithered for years investigating the
                       blue-chippers from PwC for selling state secrets to
                       foreign corporations, it was as quick as a rat up a
                       drainpipe when it came to sending out letters to
                       Centrelink clients threatening them with prison
                       sentences unless they paid their Robodebts. Michael
                       West reports.


                       This strike on Australia’s most vulnerable – the
                       Robodebt scheme targeted 381,000 people to
                       unlawfully recover more than $750m – was badged
                       “Taskforce Integrity”.


                # ⚓ Michael West Media ☛ Morrison_should_be_‘embarrassed’_over
                  robodebt:_Shorten⠀⇛


                       Government services minister Bill Shorten says
                       Scott Morrison should be embarrassed by the
                       robodebt royal commission but it is up to the
                       former prime minister to decide if he should quit
                       parliament. 


                       Mr Morrison is facing fresh calls for his
                       resignation based on his role in the failed debt
                       recovery scheme as uncovered by a royal commission
                       into the government program. 


                # ⚓ Quartz ☛ The_fastest_bank_run_in_US_history_was_sparked_by
                  crypto_banking⠀⇛


                       For all the attention placed on the recent failures
                       of Silicon Valley Bank, Signature Bank, and First
                       Republic Bank, surprisingly little focus has been
                       placed on what exactly sparked the fastest bank run
                       in US history (SVB’s), which then triggered the
                       collapse of Signature and First Republic.


                # ⚓ Michael West Media ☛ CBA,_Westpac_chiefs_to_front_banking
                  inquiry_hearing⠀⇛


                       The bosses of Westpac and Commonwealth Bank are set
                       to be be quizzed about their interest rates and
                       approach to helping scammed customers.


                       The federal parliament’s economics committee will
                       hold a second day of hearings in Canberra on
                       Thursday, having received evidence from ANZ and NAB
                       on Wednesday.


          o § AstroTurf/Lobbying/Politics⠀➾


                # § Misinformation/Disinformation/Propaganda⠀➾


                      # ⚓ WhichUK ☛ How_to_avoid_scams_when_buying_Taylor_Swift
                        tickets⠀⇛


                             Watch out for dodgy social media posts and
                             fake competitions


          o § Censorship/Free Speech⠀➾


                # ⚓ teleSUR ☛ UN_Adopts_Resolution_Condemning_Quran_Burning⠀⇛


                       The resolution was approved by 28 of the 47 members
                       of the UN Human Rights Council, including China,
                       Ukraine and most African countries.


          o § Civil Rights/Policing⠀➾


                # ⚓ Scheerpost ☛ Post-Conviction_Review_Could_Correct_Three-
                  Strike_Law_Injustices⠀⇛


                       Incorporating newer research about post-adolescent
                       brain development would help those sentenced under
                       outdated, racist policies.


                # ⚓ Hong Kong Free Press ☛ Hong_Kong_passes_bill_to_broaden
                  justice_department’s_power_to_appeal_cases_at_the_High
                  Court⠀⇛


                       Hong Kong’s “patriots-only” legislature has passed
                       a bill which broadens the Department of Justice’s
                       powers to appeal cases, including not-guilty
                       verdicts in national security trials, at the city’s
                       High Court. The Legislative Council (LegCo) passed
                       the Criminal Procedure (Amendment) Bill 2023 on
                       Wednesday by a show of hands.


                # ⚓ RFA ☛ Communist_Party_takes_direct_charge_of_the_running_of
                  Hong_Kong⠀⇛


                       The Hong Kong and Macau Work Office is charged with
                       ‘maintaining national security’ in the city under a
                       2020 law


                # ⚓ Project Censored ☛ The_Colonial_Origins_of_the_Concept_of
                  “Whiteness”_/_How_Bisexuality_is_Treated_Within_Native
                  Communities_–_The_Project_Censored_Show⠀⇛


                       Then in the second half of the program, Eleanor
                       speaks with Jen Deerinwater. Drawing on their own
                       life experiences, they discuss how bisexuality is
                       widely misunderstood or dismissed, even by other
                       queer people. Deerinwater also adds her
                       observations about how bisexuality is treated
                       within Native communities, and explains that the
                       Native concept of “two-spirit” is about more than
                       an individual’s sexual orientation.


                # ⚓ ACLU ☛ Looking_Beyond_Haaland_v._Brackeen⠀⇛


                       Last month, the Supreme Court issued a decision in
                       Haaland v. Brackeen, delivering a landmark victory
                       for tribal sovereignty, Native children, Native
                       families, and the future of Native people. In a 7-
                       2 decision by Justice Amy Coney Barrett, the Court
                       rejected all of the constitutional challenges to
                       the Indian Child Welfare Act (ICWA) — some on the
                       merits and others for lack of standing.


                       The ACLU submitted an amicus_brief in the case, and
                       has been following the issue closely because of the
                       profound threat it poses to Indigenous communities,
                       particularly federally recognized tribes in the
                       United States. In light of this victory at the
                       Supreme Court, we are now urging states to take
                       action and introduce or strengthen existing state-
                       level ICWA protections.


          o § Digital Restrictions (DRM)⠀➾


                # ⚓ Tom’s Hardware ☛ Denuvo_Claims_Its_DRM_Does_Not_Hinder
                  Gaming_Performance [Ed: Denuvo and the straw man. The main
                  problem with DRM is not this.]⠀⇛


                       The team behind Denuvo claims that its DRM does not
                       hinder gaming performance as many gamers have
                       claimed. To resolve this, Denuvo is building a new
                       program that will allow reviewers to compare new
                       games with and without the DRM installed.


          o § Monopolies⠀➾


                # ⚓ Axios ☛ FTC_to_appeal_ruling_paving_the_way_for_Microsoft-
                  Activision_deal⠀⇛


                       The Federal Trade Commission on Wednesday said it
                       would appeal a decision by a U.S. court to allow
                       Microsoft_to_acquire gaming giant Activision
                       Blizzard for nearly $70 billion.


                # ⚓ Public Knowledge ☛ Court_Risks_Competition_in_Gaming
                  Marketplace_by_Denying_FTC_Injunction⠀⇛


                       Case on the merits is still scheduled to begin
                       August 2.


                # ⚓ Techdirt ☛ Court_Rules_Against_FTC_To_Keep_Microsoft’s
                  Activision_Deal_From_Closing_Pending_Antitrust_Trial [Ed:
                  Sometimes it seems like today's Techdirt is run by Microsoft
                  apologists]⠀⇛


                       And away we go. The ongoing saga that is
                       Microsoft’s attempt to acquire Activision Blizzard
                       has been going on for months now, with a flurry of
                       news and activity occurring over the past couple of
                       those months as the deal sits before three major
                       regulatory bodies in the EU, the UK, and here in
                       America. If you’re keeping score at home, the EU
                       has already approved the deal, the UK’s CMA blocked
                       it pending Microsoft’s appeal, and the FTC filed an
                       antitrust suit and requested a preliminary
                       injunction barring the deal from going through
                       until that litigation is complete.


                # § Patents⠀➾


                      # ⚓ Unified Patents ☛ InterDigital_AV1/VP9_patent_amended
                        in_Japan⠀⇛


                             On August 4, 2022, the Japanese Patent Office
                             found that the only claim of JP6968024 was
                             obvious and also not novel in view of the
                             known art. The JP ’024 patent is owned by
                             InterDigital_VC_Holdings.


                      # ⚓ Kluwer Patent Blog ☛ Conflicts_between_UPCA_and
                        national_laws:_a_dangerous_riddle?_(Part_2)⠀⇛


                             Many have reacted to the first post on the
                             conflicts between national laws and UPCA. The
                             various questions raised lead me to provide
                             some additional food for thought.


                      # ⚓ Unified Patents ☛ GEVC_video_codec_patent_amended_in
                        Japan⠀⇛


                             On March 30, 2023, the Japanese Patent Office
                             found that the original claims of JP6909818
                             were obvious in view of the known art. The JP
                             ’818 patent is owned by GE_Video_Compression
                             LLC (GEVC).


                      # ⚓ Unified Patents ☛ KAIST_&_ETRI_AV1/HEVC_patent
                        amended_in_Japan⠀⇛


                             On March 14, 2022, the Japanese Patent Office
                             found that the original claims of JP6855419
                             were obvious in view of the known art. The JP
                             ’419 is owned by the Korea_Advanced_Institute
                             of_Science_and_Technology_(KAIST) and the
                             Electronics_and_Telecommunications_Research
                             Institute_(ETRI).


                      # ⚓ Dennis Crouch/Patently-O ☛ Guest_Post_by_Prof._Koffi:
                        A_Gender_Gap_in_Commercializing_Scientific
                        Discoveries⠀⇛


                             Diversity and inclusion in science and
                             commercialization are integral to innovation,
                             societal and economic growth. While progress
                             has been made in increasing representation
                             and inclusivity in STEM, there are complex
                             factors at play that hinder a comprehensive
                             understanding of the barriers faced by
                             underrepresented groups in these fields.
                             Today, I will focus on a challenging point
                             later in the invention process:
                             commercializing a scientific discovery. In a
                             research study with Matt Marx, we
                             characterize the gender dynamics of
                             scientific commercialization in the full
                             canon of scientific inquiry.


                # § Copyrights⠀➾


                      # ⚓ Public Domain Review ☛ The_Department_of_Preparation:
                        Thomas_Smillie’s_Photographic_Survey_of_the_Smithsonian
                        (1890–1913)⠀⇛


                             A survey of the Smithsonian by the first
                             curator of photography in the United States.



                    ䷩ 𝚕𝚒𝚗𝚎 4385

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 07.14.23⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


Gemini_version_available_♊︎


✐ Leftover_Links_14/07/2023:_Microsoft_in_Trouble_With_the_FTC_Again,_This_Time
Over_‘Open’_‘AI’⠀✐


Posted in News_Roundup at 7:50 am by Dr. Roy Schestowitz


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * Leftovers
          o Health/Nutrition/Agriculture
          o Proprietary/Artificial_Intelligence_(AI)
          o Security
                # Privacy/Surveillance
          o Defence/Aggression
          o Environment
                # Energy/Transportation
          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
                # Copyrights
    * § Leftovers⠀➾


          o § Health/Nutrition/Agriculture⠀➾


                # ⚓ The Atlantic ☛ FOMO_Has_Never_Been_Worse_on_the_Internet⠀⇛


                       The [Internet] is moving faster than ever before.
                       Twitter and Facebook each took more than four years
                       to reach the 100-million-users milestone; Instagram
                       took just over two. TikTok did it in nine months.
                       Now the record has been broken twice in 2023 alone.
                       The apps themselves have evolved—product managers
                       have spent zillions of hours optimizing sign-up
                       “flows” to get people through registration and
                       actually using the things as quickly as possible,
                       and Threads, with its connection to Instagram,
                       benefits from these efforts more than most. But it
                       is also the case that the web is in a new FOMO era.
                       The job of testing the next big thing was once
                       assigned to just the very online; now we all feel
                       like we’re primed to sign up right away or risk
                       being left behind. We all have the fear of missing
                       out.


                # ⚓ Gannett ☛ Should_I_drink_that_Diet_Coke?_What_WHO_says
                  about_the_potential_health_risks_of_aspartame⠀⇛


                       Earlier this year, the WHO concluded that calorie-
                       free sweeteners in general do not help with weight
                       loss and may increase the risk of type 2 diabetes
                       and cardiovascular disease.


                # ⚓ New Statesman ☛ Two_thirds_of_young_people_say_work_damages
                  their_mental_health⠀⇛


                       The poll also found that one in five workers (21
                       per cent) are encouraged to work unpaid overtime,
                       with Londoners facing the most pressure to do so,
                       at 35 per cent. Comparatively, 17 per cent of
                       people in the north of England, 21 per cent in the
                       Midlands, 20 per cent in the south, 16 per cent in
                       Wales, 20 per cent in Scotland and 9 per cent in
                       Northern Ireland said this was the case.


          o § Proprietary/Artificial Intelligence (AI)⠀➾


                # ⚓ [Old] NSA:_BlackLotus_BootKit_Patching_Won’t_Prevent
                  Compromise⠀⇛


                       BlackLotus burst on the scene last fall when it was
                       spotted for sale on the Dark Web for $5,000. It has
                       the dubious distinction of being the first in-the-
                       wild malware to successfully bypass to Microsoft’s
                       Unified Extensible Firmware Interface (UEFI) Secure
                       Boot protections.


                       UEFI is the firmware that’s responsible for the
                       booting-up routine, so it loads before the
                       operating system kernel and any other software.
                       BlackLotus — a software, not a firmware threat, it
                       should be noted — takes advantage of two
                       vulnerabilities in the UEFI Secure Boot function to
                       insert itself into the earliest phase of the
                       software boot process initiated by UEFI: CVE-2022-
                       21894, aka Baton Drop, CVSS score 4.4; and CVE-
                       2023-24932, CVSS score 6.7. These were patched by
                       Microsoft in January 2022 and May 2023
                       respectively.


                       But the country’s top technology intelligence
                       division warned that applying the available Windows
                       10 and Windows 11 patches is only a “a good first
                       step.”


                # ⚓ [Old] CyberRisk Alliance LLC ☛ Microsoft’s_bootkit_patches
                  offer_‘false_sense_of_security’_against_BlackLotus_threat,
                  NSA_says⠀⇛


                       BlackLotus targets Windows boot by exploiting a
                       flaw in older boot loaders, or boot managers, to
                       set off a chain of malicious actions that
                       compromise endpoint security. This is achieved by
                       exploiting the Baton Drop vulnerability to strip
                       the Secure Boot policy and prevent its enforcement.


                       BlackLotus shares some characteristics with Boot
                       Hole, a vulnerability discovered in 2020. Unlike
                       Boot Hole, however, BlackLotus targets vulnerable
                       boot loaders that have not been added to the Secure
                       Boot Deny List Database (DBX) revocation list.


                # ⚓ [Old] The Register UK ☛ To_kill_BlackLotus_malware,
                  patching_is_a_good_start,_but…⠀⇛


                       Then, in research published in March, ESET malware
                       analyst Martin Smolár confirmed the myth of an in-
                       the-wild bootkit bypassing Secure Boot “is now a
                       reality,” as opposed to hypothetical threats raised
                       by some experts and the usual slew of fake bootkits
                       criminals attempted to trick fellow miscreants into
                       buying.


                       No Linux-targeting variant of the malware has been
                       observed; BlackLotus strictly nobbles Microsoft
                       Windows machines.


                # ⚓ Science Alert ☛ Google’s_New_Chatbot_Passed_The_US_Medical
                  Exam_(But_Only_Just)⠀⇛


                       There is a big difference between answering
                       “medical questions and actual medicine,” which
                       includes diagnosing and treating genuine health
                       problems,” he said.


                # ⚓ Data Breaches ☛ Millions_of_personal_records_unprotected_in
                  flawed_telemedicine_application_software⠀⇛


                       QuickBlox’s video and chat features are commonly
                       used in mainstream telemedicine applications and
                       platforms. The researchers analyzed a mobile
                       telemedicine application from an undisclosed
                       organization that uses QuickBlox’s framework to
                       provide chat and video services for patients to
                       connect with physicians. The research revealed
                       existing vulnerabilities that worsened when
                       combined with QuickBlox’s framework.


                # ⚓ Scoop News Group ☛ FTC_investigating_OpenAI_for_possible
                  ‘reputational_harm’_caused_by_ChatGPT⠀⇛


                       The FTC earlier this week sent a 20-page request
                       for records about how OpenAI addresses risks
                       related to its AI models. The agency is
                       investigating whether the company engaged in unfair
                       or deceptive practices that resulted in
                       “reputational harm” to consumers, according to the
                       letter, which was reported by the Washington Post.


                # ⚓ Axios ☛ FTC_opens_probe_into_ChatGPT_maker_OpenAI⠀⇛


                       A civil investigative demand letter has been sent
                       and the investigation is now underway, per the
                       source familiar.


                # ⚓ The Washington Post ☛ FTC_investigates_OpenAI_over_data
                  leak_and_ChatGPT’s_inaccuracy⠀⇛


                       The FTC called on OpenAI to provide detailed
                       descriptions of all complaints it had received of
                       its products making “false, misleading, disparaging
                       or harmful” statements about people. The FTC is
                       investigating whether the company engaged in unfair
                       or deceptive practices that resulted in
                       “reputational harm” to consumers, according to the
                       document.


                # § Windows TCO⠀➾


                      # ⚓ [Repeat] New York Times ☛ Chinese_[Intruders]
                        Breached_Government_Email_Accounts,_Microsoft_Says⠀⇛


                             The attack was targeted, according to a
                             person briefed on the intrusion into the
                             government networks, with the hackers going
                             after specific accounts rather than carrying
                             out a broad-brush intrusion that would suck
                             up enormous amounts of data. Adam Hodge, a
                             spokesman for the White House’s National
                             Security Council, said no classified networks
                             had been affected. An assessment of how much
                             information was taken is continuing.


                      # ⚓ El País ☛ Chinese_[intruders]_breached_unclassified
                        government_email_by_foiling_Microsoft_security⠀⇛


                             Nevertheless, Senate intelligence committee
                             chair Mark Warner issued a statement saying
                             it was “closely monitoring what appears to be
                             a significant cybersecurity breach by Chinese
                             intelligence” that shows China is “steadily
                             improving its cyber collection capabilities
                             directed against the U.S. and our allies.”


                      # ⚓ The Age AU ☛ Chinese_[intruders]_stole_US_government
                        emails,_say_Microsoft_and_White_House⠀⇛


                             Beside the State Department, it wasn’t known
                             which other US agencies were impacted by the
                             breach. A senior official said the number of
                             agencies was in the single digits.


                      # ⚓ Deutsche Welle ☛ Microsoft:_Chinese_group_[breached]
                        government_email_accounts⠀⇛


                             Citing a statement from US officials, the
                             Washington Post reported that Storm-0558 also
                             breached unclassified email accounts linked
                             to the US government.


                             The US had detected the breach of federal
                             government accounts “fairly rapidly” and had
                             managed to prevent further breaches, White
                             House national security adviser Jake Sullivan
                             said in an interview with ABC television.


                      # ⚓ ADF ☛ As_Attacks_Multiply,_Experts_Call_for
                        Continental_Cybersecurity_Hub⠀⇛


                             Internet access is growing rapidly across
                             Africa. Although [Internet] penetration is
                             28% continentwide, it is more than 50% in
                             Nigeria and more than 85% in Kenya, which are
                             two of the continent’s top targets for
                             cyberattacks.


                             South Africa, where nearly 72% of the
                             population is online, spends a larger share
                             of its economy on cybersecurity than any
                             other African country, yet its citizens
                             remain at risk of abuse by scam artists,
                             criminals and other cybercriminals, according
                             to Kearney, a global management company with
                             an office in Johannesburg.


          o § Security⠀➾


                # ⚓ IT World CA ☛ Linux_distributors,_open_source_developers
                  warned_to_update_Ghostscript [Ed: It's a bad flaw, but they
                  make it sound like a "Linux" issue; it's CVE-2023-36664 with
                  CVSS score of 9.8, but it has nothing to do with Linux;
                  triggering this flaw is not easy. To corporate, Microsoft-
                  funded media, everything that's not Microsoft is just "Linux"
                  when it comes to bad news.]]⠀⇛


                       Linux distributors and application developers using
                       the open-source Ghostscript interpreter for the
                       PostScript language and PDFs are being urged to
                       apply the latest security patch for the utility
                       after the discovery of a major hole.


                       This vulnerability, CVE-2023-36664, was assigned a
                       CVSS score of 9.8, and could allow for code
                       execution caused by Ghostscript mishandling
                       permission validation for pipe devices.


                # ⚓ Bleeping Computer ☛ New_PyLoose_Linux_malware_mines_crypto
                  directly_from_memory [Ed: Wiz comes from Microsoft and this
                  site is connected to Microsoft. The issue here is the
                  program, not Linux, and they should focus on how to gets
                  itself onto systems. Microsoft has a massive fiasco when it
                  comes to security this week (Microsoft it trying to blame
                  "China"), so it could use a distraction or topic change.]⠀⇛


                       PyLoose is a relatively simple Python script with a
                       precompiled, base64-encoded XMRig miner, a widely
                       abused open-source tool that uses CPU power to
                       solve complex algorithms required for cryptomining.


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


                       Security updates have been issued by Debian (ruby-
                       doorkeeper), Fedora (mingw-nsis and thunderbird),
                       Red Hat (bind9.16, nodejs, nodejs:16, nodejs:18,
                       python38:3.8 and python38-devel:3.8, and rh-
                       nodejs14-nodejs), Slackware (krb5), SUSE
                       (geoipupdate, installation-images, libqt5-qtbase,
                       python-Django1, and skopeo), and Ubuntu (knot-
                       resolver, lib3mf, linux, linux-aws, linux-kvm,
                       linux-lowlatency, linux-raspi, linux, linux-aws,
                       linux-kvm, linux-lts-xenial, linux-azure, linux-
                       gcp, linux-ibm, linux-oracle, linux-azure-fde,
                       linux-xilinx-zynqmp, and scipy).


                # ⚓ Data Breaches ☛ Owner_of_BreachForums_pleads_guilty_in
                  federal_court_to_a_charge_that_shocks_everyone⠀⇛


                       When the arrest of Conor Fitzpatrick, aka
                       “Pompompurin,” was made known on March 17, 2023,
                       the members of Breached.vc (“BreachForums”) were
                       shocked to learn from court filings how poor their
                       forum owner’s OpSec was and that he had already
                       admitted to law enforcement that he was known as
                       “Pompompurin” and was the owner of BreachForums. It
                       seemed very likely that with all the evidence law
                       enforcement had and his own admissions, “Pom” would
                       likely plead guilty in hopes of some reduced
                       charges or sentencing.


                # ⚓ Becker’s Hospital Review ☛ Millions_of_personal_records
                  unprotected_in_flawed_telemedicine_application_software⠀⇛


                       QuickBlox, a software development framework used in
                       telemedicine and finance, was found to have several
                       critical security flaws, according to a joint study
                       from computer and network security research firms
                       Check Point Research and Claroty Team82 published
                       July 12.


                       QuickBlox’s video and chat features are commonly
                       used in mainstream telemedicine applications and
                       platforms. The researchers analyzed a mobile
                       telemedicine application from an undisclosed
                       organization that uses QuickBlox’s framework to
                       provide chat and video services for patients to
                       connect with physicians. The research revealed
                       existing vulnerabilities that worsened when
                       combined with QuickBlox’s framework.


                # ⚓ CPO Mag ☛ Bjorka_strikes_again?_34_million_Indonesian
                  Passports_Exposed_in_a_Massive_Immigration_Directorate_Data
                  Breach⠀⇛


                       Over 34 million Indonesian passports were leaked in
                       a massive data breach impacting the country’s
                       Immigration Directorate General at the Ministry of
                       Law and Human Rights.


                       Cybersecurity researcher and founder of Ethical
                       Hacker Indonesia, Teguh Aprianto, disclosed the
                       breach on his Twitter account @secgron, attributing
                       the attack to a hacktivist identified as Bjorka.


                # ⚓ The Washington Post ☛ FTC_investigates_OpenAI_over_data
                  leak_and_ChatGPT’s_inaccuracy⠀⇛


                       The Federal Trade Commission has opened an
                       expansive investigation into OpenAI, probing
                       whether the maker of the popular ChatGPT bot has
                       run afoul of consumer protection laws by putting
                       personal reputations and data at risk.


                       The agency this week sent the San Francisco company
                       a 20-page demand for records about how it addresses
                       risks related to its AI models, according to a
                       document reviewed by The Washington Post. The salvo
                       represents the most potent regulatory threat to
                       date to OpenAI’s business in the United States, as
                       the company goes on a global charm offensive to
                       shape the future of artificial intelligence policy.


                # ⚓ Security Week ☛ Popular_WordPress_Security_Plugin_Caught
                  Logging_Plaintext_Passwords⠀⇛


                       Installed on more than one million WordPress sites,
                       the security and firewall plugin was designed to
                       prevent cyberattacks such as brute-force attempts,
                       warn when the default admin username is used for
                       login, prevent bot attacks, log user activity, and
                       eliminate comment spam.


                       It was discovered that AIOS version 5.1.9 writes
                       plaintext passwords from login attempts to the
                       database, which essentially provides any privileged
                       user with access to the login credentials of all
                       other administrator users.


                # ⚓ Krebs On Security ☛ SEO_Expert_Hired_and_Fired_By_Ashley
                  Madison_Turned_on_Company,_Promising_Revenge⠀⇛


                       [This is Part II of a story published here last
                       week on reporting that went into a new Hulu
                       documentary series on the 2015 Ashley Madison
                       hack.]


                # § Privacy/Surveillance⠀➾


                      # ⚓ EDRI ☛ How_EU’s_plan_to_digitising_travel_documents
                        might_affect_you⠀⇛


                             Passport and ID card – soon available only
                             through a smartphone app? At least that’s how
                             the EU Commission seems to envision it.


                             The European Commission’s Migration and Home
                             Affairs Department (DG HOME) has launched an
                             initiative to digitalise travel documents.
                             Following the public consultation, this could
                             result in a proposal for an EU regulation in
                             the third quarter of 2023.


                      # ⚓ European Commission ☛ Road_safety_–_advanced_driver
                        distraction_warning_systems⠀⇛


                             Under the General Vehicle Safety Regulation,
                             all new types of vehicles must be fitted with
                             an advanced driver distraction warning system
                             from mid-2024. The system monitors primarily
                             driver eye movements and warns drivers when
                             distracted. This will help reduce accidents
                             on EU roads.


                             This initiative sets out the specific test
                             procedures and technical requirements for the
                             approval of vehicles fitted with this system.


                      # ⚓ Bruce Schneier ☛ French_Police_Will_Be_Able_to_Spy_on
                        People_through_Their_Cell_Phones⠀⇛


                             The French police are getting new
                             surveillance powers: [...]


          o § Defence/Aggression⠀➾


                # ⚓ ANF News ☛ Kalkan:_Turkey_wants_to_force_NATO_to_agree_to_a
                  genocide_in_Kurdistan⠀⇛


                       In a special broadcast on TV channel Medya Haber,
                       PKK Executive Council member Duran Kalkan said that
                       Tayyip Erdoğan and his government want to continue
                       Turkey’s genocidal policy against the Kurds,
                       implemented since 1923 under the Lausanne Treaty,
                       by leaning on NATO.


                # ⚓ ANF News ☛ NATO_approves_Erdoğan’s_genocidal_strategy_on
                  the_100th_anniversary_of_the_Treaty_of_Lausanne⠀⇛


                       The Executive Council of the Kurdistan National
                       Congress (KNK) released a statement condemning the
                       acquiescence of NATO and Sweden to Erdoğan’s
                       demands and their complicity in the Turkish state’s
                       attacks against the Kurdish people.


                       The statement released by KNK Executive Council on
                       Wednesday includes the following:


                       “At the 2023 NATO Summit in Lithuania, world
                       leaders accepted the demands of authoritarian
                       Turkish President Recep Tayyip Erdoğan,
                       transforming the event into a high-level diplomatic
                       session sanctioning the oppression of the Kurdish
                       people and promising continued bloodshed and
                       displacement throughout Kurdistan. [...]


                # ⚓ Greece ☛ Using_blackmail⠀⇛


                       This development certainly also concerns Greek
                       interests as the government is rightly demanding
                       guarantees about whether and how Ankara will use
                       the aircraft it will procure from the United
                       States.


                # ⚓ US News And World Report ☛ Florida_Man_Gets_18_Years_in
                  Federal_Prison_for_Supporting_Islamic_State_Extremist_Group⠀⇛


                       Al-Azhari admitted in court papers that he scouted
                       potential terrorism targets in the Tampa Bay area,
                       sought to acquire multiple weapons and pledged an
                       oath of allegiance to the Islamic State. The FBI
                       recorded many conversations between Al-Azhari and
                       confidential or undercover sources in which he
                       discussed avenging imprisoned Islamic State
                       fighters and using violence to oppose U.S. military
                       actions in the Middle East.


          o § Environment⠀➾


                # § Energy/Transportation⠀➾


                      # ⚓ Crypto_cuts_continue:_NFT_startups_release_top
                        engineers⠀⇛


                             Despite a landmark decision in the world of
                             crypto regulation yesterday with the SEC’s
                             ruling on Ripple Labs’ XRP currency, crypto
                             at large is far from thriving. One area in a
                             particularly rough patch is the NFT sector,
                             with multiple firms making major cuts
                             recently.


                             Most prominently is Dapper Labs, which
                             announced cuts to 51 employees. This is its
                             third round of cuts in nine months: first 22%
                             in November, then 20% more in February, now
                             an estimated 13%.


                      # ⚓ DeSmog ☛ The_Fossil_Fuel_Interests_Behind_Liz_Truss’s
                        ‘Growth_Commission’⠀⇛


                             Liz Truss was back in the headlines this
                             week, when she appeared at the launch of a
                             new lobby group called the Growth Commission
                             on Wednesday.


                             Some commentators pointed out the irony of a
                             prime minister who tanked the pound – and
                             failed to outlast a lettuce – saying that her
                             widely criticised mini budget “may pay off in
                             the long term”.


          o § AstroTurf/Lobbying/Politics⠀➾


                # ⚓ Tedium ☛ Message_In_A_Bottle⠀⇛


                       Today in Tedium: There’s a certain problem I’ve
                       noticed with social media recently, and it has
                       something to do with the last issue I wrote,
                       regarding Threads. Basically, there are so many
                       emerging social networks right now because Loud
                       Annoying Space Man gave us all a reason to leave
                       Twitter. But the problem is that some of your
                       friends went to Threads. Some of them went to
                       Bluesky. Some went to Mastodon. Some went to T2.
                       Some are still on Twitter. None of these services
                       have compatible APIs at this point. And all of your
                       friends want to read that witty thing you said. So,
                       as an end user, you’re ultimately stuck messaging
                       to people on every single network. This is a
                       solvable problem—and one that we’ve had plenty of
                       practice with in the instant messenger era. Today’s
                       Tedium talks instant messaging protocols, both open
                       and closed, and what they could teach us about this
                       current moment. — Ernie @ Tedium


                # ⚓ Michael Geist ☛ Government_Mandate_to_Block_All_News_in
                  Canada?:_Why_Australia’s_News_Law_Architect_Recommendation
                  Demonstrates_that_Canada_Has_Been_Getting_Awful_Advice_on
                  Bill_C-18⠀⇛


                       The implications of the legislative disaster that
                       is Bill C-18 continue to unfold as Canadian
                       Heritage Minister Pablo Rodriguez is now
                       essentially doing precisely what he said would not
                       do, namely negotiate with the big tech platforms
                       over government mandated payments for news links.
                       Rodriguez had long claimed that the bill was
                       designed to keep the government out of the issue
                       and to leave it to the platforms and media
                       companies to craft agreements. Yet with the
                       departmental update this week, it is clear that the
                       government is now discussing a minimum spend for
                       inclusion in the regulations, effectively putting
                       itself at the very head of the negotiating table.


                # ⚓ Deutsche Welle ☛ Sweden’s_top_court_bars_Turkey’s
                  extradition_requests⠀⇛


                       The Supreme Court in Sweden on Thursday said there
                       are “obstacles to extradition” of two Turkish
                       citizens wanted by Ankara for alleged involvement
                       in the so-called Gulen movement.


                       In a statement, the court said “the requirement of
                       dual criminality” — when a criminal offense in
                       Turkey would also be considered a crime in Sweden —
                       had not been met.


                # ⚓ Common Dreams ☛ Fascist_Mamas_For_DeSantis_Say_They_Won’t
                  Be_Silenced_But_They_Actually_Sound_Pretty_Screechy⠀⇛


                       Evidently inspired by her raging bigot of a
                       husband’s WTF ad with oiled beefcakes and serial
                       killers, Casey DeSantis, aka “America’s Karen,”
                       released her own overwrought plug – cue Nazi
                       marching music! – declaring she and other zealot
                       moms will “protect the innocence of our children”
                       from history, empathy, masks, books, rainbows,
                       immigrants, black people and sweet Jesus male
                       seahorses giving birth by electing her loathsome
                       partner in crime to “do for America what he did for
                       us in Florida.” Thanks, no thanks.


                # § Misinformation/Disinformation/Propaganda⠀➾


                      # ⚓ Scheerpost ☛ Patrick_Lawrence:_The_‘Disinformation
                        Industry’_Lands_in_Court⠀⇛


                             What kind of a week was last week in the
                             theater of war wherein battles rage over
                             illegal censorship, illegal attacks on
                             freedom of speech, illegal government
                             infringements on our constitutional rights,
                             and, amid it all, the complicity of our most
                             powerful media in these illegalities? For a
                             brief while it looked as though it was a very
                             fine week. On July 4, an excellent day for
                             this, a district court in Louisiana ruled
                             that the White House and a long list of other
                             federal agencies are barred from all contacts
                             with social media companies if the intent is
                             to intimidate or otherwise coerce Twitter,
                             Google, Facebook, and other such platforms
                             into deleting, suppressing, or in any way
                             obscuring content protected as free speech,
                             to paraphrase a key passage in the ruling.


          o § Censorship/Free Speech⠀➾


                # ⚓ teleSUR ☛ UN_Adopts_Resolution_Condemning_Quran_Burning⠀⇛


                       However, a number of Western countries expressed
                       during the debates their opposition to the anti-
                       blasphemy laws and, at the same time, strongly
                       denounced the burning of the Quran in Sweden.


                       “We regret having to vote against this unbalanced
                       text, but it contradicts positions we have long
                       taken on freedom of expression,” said U.S.
                       Ambassador Michele Taylor.


                       As for her French counterpart, Jerome Bonnavon, he
                       indicated that human rights protect “persons and
                       not religions, sects, beliefs, or their symbols.”


                # ⚓ Gannett ☛ Salman_Rushdie_says_he_has_‘crazy_dreams,’_is_in
                  therapy_after_stabbing_attack⠀⇛


                       “There’s this colossal elephant in the room and,
                       until I deal with that, it is difficult to take
                       seriously anything else,” he said.


                # ⚓ The Hill ☛ Salman_Rushdie_opens_up_about_knife_attack:_‘I
                  have_a_very_good_therapist’⠀⇛


                       In an interview with the BBC, the 76-year-old
                       British-American author said he is working with a
                       “very good therapist” but is still indecisive on
                       whether he will attend another public event that is
                       not invitation-only and “controllable.” His
                       attacker, 24-year-old Hadi Matar — who is being
                       charged with attempted murder — pleaded not guilty
                       in August 2022.


                # ⚓ BBC ☛ Sir_Salman_Rushdie_says_he_has_‘crazy_dreams’_about
                  attack_in_New_York⠀⇛


                       “I’m in two minds about it,” he continued. “There’s
                       one bit of me that actually wants to go and stand
                       on the court and look at him and there’s another
                       bit of me that just can’t be bothered.


                       “I don’t have a very high opinion of him. And I
                       think what is important to me now is that you’re
                       able to find life continuing. I’m more engaged with
                       the business of, you know, getting on with it.”


                # ⚓ The Guardian UK ☛ Salman_Rushdie_says_he_has_‘crazy_dreams’
                  since_stabbing_attack⠀⇛


                       He also said that he still employs security now in
                       America on certain occasions. At the time of the
                       attack, he was living without round-the-clock
                       security after a fatwa was issued by Iran’s
                       Ayatollah Khomeini in 1988, which put him into
                       hiding for a decade. “Writers don’t have much
                       power. We don’t have armies,” he said. “What we
                       have is the ability to write about the world, if
                       we’re any good, that might endure.”


                # ⚓ Hindustan Times ☛ On_stabbing_incident,_Salman_Rushdie_says
                  he_is_‘more_or_less_OK’_but_faces_this_dilemma⠀⇛


                       Talking about his upcoming book on the stabbing
                       incident, he told the BBC that it won’t be more
                       than a “couple of hundred of pages” long.


                # ⚓ The Independent UK ☛ Salman_Rushdie_says_he_has_‘crazy
                  dreams’_since_stabbing_attack⠀⇛


                       The writer was stabbed by a 24-year-old man named
                       Hadi Matar, who has been charged with attempted
                       murder. He has pleaded not guilty and is being held
                       without bail.


                       Attacks against Rushdie have been feared since the
                       late 1980s and the publication of his novel The
                       Satanic Verses, which Iran’s Ayatollah Ruhollah
                       Khomeini condemned as blasphemous for passages
                       referring to the Prophet Muhammad.


                       Khomeini had issued a decree calling for Rushdie’s
                       death after the publication of his book, forcing
                       the author into hiding.


                # ⚓ Vox ☛ How_Hollywood_appeases_China,_explained_by_the_Barbie
                  movie⠀⇛


                       As far as the council is concerned, this is no
                       ordinary doodle, but a clear and deliberate
                       representation of the so-called nine-dash line: a
                       maritime boundary demarcating Beijing’s contested
                       ownership of the South China Sea. The line has been
                       featured on Chinese maps since the 1940s and,
                       despite being rejected by the International Court
                       of Justice in The Hague in 2016, is still used
                       today to justify the expansion of China’s naval
                       presence in the region, its construction of
                       artificial islands, and its intimidation of foreign
                       fishermen.


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


                # ⚓ BIA Net ☛ bianet’s_book_on_press_freedom_referenced_during
                  parliamentary_discussions⠀⇛


                       In yesterday’s session, the Green Left Party
                       presented a proposal to prioritize the
                       investigation on imprisoned journalists ahead of
                       other motions in parliament. MP Ayşegül Doğan took
                       the floor to explain the proposal and, while
                       discussing long-standing violations of freedom of
                       expression against Kurdish media, made reference to
                       the book.


                # ⚓ CPJ ☛ CPJ_urges_Bangladesh_to_stop_using_Digital_Security
                  Act_to_harass_Adhora_Yeasmean_and_other_journalists⠀⇛


                       The Digital Security Act, which criminalizes
                       several forms of speech online, has frequently been
                       used to target critical journalists in Bangladesh
                       since its enactment in 2018. In March 2023,
                       Bangladesh authorities arrested a Prothom Alo
                       reporter and opened multiple investigations under
                       the act into the leading newspaper’s leadership and
                       staff, prompting United Nations human rights chief
                       Volker Türk to reiterate his call on authorities to
                       impose an immediate moratorium on the law.


                # ⚓ CPJ ☛ Police_and_protesters_attack,_obstruct_at_least_18
                  journalists_covering_French_protests⠀⇛


                       On June 27, the day the driver was killed, a
                       protester [sic] hit Kiran Ridley, a photographer
                       with photo agency Getty Images, three times on his
                       head in the western Parisian suburb of Nanterre,
                       and three other protesters [sic] threw stones at
                       him before he could flee from the scene. Ridley was
                       treated for a broken nose and had to undergo facial
                       reconstruction surgery, the reporter told CPJ via
                       messaging app.


                # ⚓ Deutsche Welle ☛ Belarus:_Prominent_Lukashenko-critical
                  artist_dies_in_jail⠀⇛


                       Pushkin had an ulcer and did not receive timely
                       medical treatment, independent Belarussian media
                       reported, citing unnamed sources informed on the
                       matter. He was arrested in March 2021 and, a year
                       later, sentenced for desecrating state symbols and
                       inciting hatred.


                       The reason? Pushkin had painted a portrait of
                       Yevgeny Shikhar, the leader of the Belarusian anti-
                       Soviet underground after World War II, and shown it
                       at an exhibition.


          o § Civil Rights/Policing⠀➾


                # ⚓ Vox ☛ Hollywood’s_writers_are_on_strike._Here’s_why_that
                  matters.⠀⇛


                       “Though we negotiated intent on making a fair deal
                       — and though your strike vote gave us the leverage
                       to make some gains — the studios’ responses to our
                       proposals have been wholly insufficient, given the
                       existential crisis writers are facing,” the
                       negotiating committee wrote to membership in a
                       letter. “The companies’ behavior has created a gig
                       economy inside a union workforce, and their
                       immovable stance in this negotiation has betrayed a
                       commitment to further devaluing the profession of
                       writing.”


                       [...]


                       Meanwhile, according to the WGA’s calculations,
                       industry profits have ballooned from $5 billion in
                       2000 to $28-$30 billion from 2017-2021. Spending on
                       original streaming content grew from $5 billion in
                       2019 to $19 billion in 2023 — the lion’s share of
                       it by Netflix, which reported $6 billion in
                       operating profits in 2021 and $5.6 billion in 2022.


                # ⚓ Gizmodo ☛ Hollywood’s_‘Groundbreaking’_AI_Proposal_for
                  Actors_Sounds_Like_a_Nightmare⠀⇛


                       If anything will help illustrate the absolute
                       necessity of SAG-AFTRA striking, it’s these
                       proposed “groundbreaking” AI concessions that the
                       AMPTP allegedly offered during negotiations. It was
                       addressed in remarks by one of the SAG-AFTRA
                       leaders, Duncan Crabtree-Ireland, who explained:
                       “They proposed that our background performers
                       should be able to be scanned, get one day’s pay,
                       and their company should own that scan, their
                       image, their likeness and should be able to use it
                       for the rest of eternity, in any project they want
                       with no consent and with no compensation.”


                # ⚓ Deadline ☛ Hollywood_Studios’_WGA_Strike_Endgame_Is_To_Let
                  Writers_Go_Broke_Before_Resuming_Talks_In_Fall⠀⇛


                       The severe method comes out of the guild’s
                       successful battle with the agencies in 2021 over
                       dismantling the lucrative practice of packaging.
                       The WGA picked off one agency after another until
                       final holdout WME backed down, a tactic seen as a
                       warning sign by many in the studio and streamer C-
                       suites.


                       [...]


                       On a parallel track and reinforcing the AMPTP’s
                       divide-and-conquer approach, negotiations with the
                       Director’s Guild in late May proved a success, with
                       ratification coming last month. Even if the
                       160,000-member SAG-AFTRA joins the WGA on the
                       picket lines, the studios hope to get the actors
                       back to the negotiating table in a few weeks.


                # ⚓ Vice Media Group ☛ U.S._Building_More_Apartments_Than_It
                  Has_In_Decades,_But_Not_For_the_Poor:_Report⠀⇛


                       There are many reasons for this, the report’s
                       authors explain, but the main one is that new units
                       being produced are on the higher end and not
                       affordable to people with the lowest incomes.
                       Coupled with rent increases and deteriorating
                       buildings, it means the benefits of the housing
                       boom have been uneven. According to the report,
                       “while multifamily rental construction is at a
                       decades-long peak, the high asking rents of new
                       units make them unaffordable for many households.”


          o § Internet Policy/Net Neutrality⠀➾


                # ⚓ Techdirt ☛ Dish_Tries_To_Distract_Everyone_From_Doomed_5G
                  Network_By_Proposing_Pointless_Merger_With_Echostar⠀⇛


                       We just got done noting how Dish Network’s long-
                       hyped 5G wireless network is likely doomed. While
                       they’re technically building a “wireless network,”
                       the network’s coverage, phone selection, and
                       overall quality has proven laughable so far, and
                       there have been growing worries that Dish is
                       running out of cash.


          o § Monopolies⠀➾


                # ⚓ India Times ☛ Meta_to_contest_EU_antitrust_charges_at_July
                  13_hearing⠀⇛


                       The European Commission sent a charge sheet to the
                       world’s most popular social network last December,
                       singling out two practices that showed that Meta
                       abused its market power.


                       It said Meta’s tying of its online classified ads
                       service Facebook Marketplace with its social
                       network Facebook gave the former an unfair
                       advantage.


                # ⚓ Axios ☛ FTC_to_appeal_ruling_paving_the_way_for_Microsoft-
                  Activision_deal⠀⇛


                       Driving the news: Notice of the appeal was filed to
                       a U.S. District Court in San Francisco Wednesday
                       evening.


                # § Copyrights⠀➾


                      # ⚓ Revisiting:_Who_Has_All_The_Content?⠀⇛


                             For human readers, the scholarly
                             communication user experience has been
                             characterized by fragmentation. In recent
                             years, substantial efforts have been devoted
                             to ameliorating this fragmentation, whether
                             by aggregation, syndication, or
                             infrastructure for entitlement-based linking.
                             I have long dreamed of a single site filled
                             with all scholarship for ready discovery and
                             access. This fragmentation, for human
                             readers, is mostly a massive inconvenience.
                             For the machines, though, whether for
                             training or analysis, fragmentation is a real
                             impediment. The machines never, ever, want to
                             read the publications just of a single
                             publisher. The machines want to read
                             everything, or at least everything in a given
                             field. And this in turn raises questions
                             about the work of assembling everything
                             together — which is no small task — and
                             making it available for machine training and
                             analysis. More than six years ago, I looked
                             at the state of play when it came to
                             assembling together substantially all
                             published content. While some of the players
                             have shifted around, the question today is
                             more pressing than ever: Who Has All the
                             Content?


                      # ⚓ Torrent Freak ☛ New_Law_to_Crush_Pirate_IPTV
                        Unanimously_Approved_By_Italian_Senate⠀⇛


                             After receiving unanimous support in Italy’s
                             Chamber of Deputies back in March, a new
                             anti-piracy bill designed to tackle pirate
                             IPTV services and other ‘live’ content
                             broadcasts has been unanimously approved by
                             the Senate. The bill gives new powers to
                             telecoms regulator AGCOM to block internet
                             traffic and black out illicit providers
                             within minutes. Service providers linked in
                             any capacity to the accessibility of illicit
                             content must comply.


                      # ⚓ Torrent Freak ☛ Alleged_Z-Library_Operators_Ask_Court
                        to_Dismiss_Criminal_‘Piracy’_Indictment⠀⇛


                             Last year, the U.S. indicted two Russians who
                             stand accused of operating the book piracy
                             site Z-Library. Anton Napolsky and Valeriia
                             Ermakova were arrested in Argentina. The U.S.
                             requested their extradition but the
                             defendants want to stop that in its tracks.
                             The pair have asked a New York federal court
                             to dismiss the indictment, citing various
                             shortcomings.


                      # ⚓ Torrent Freak ☛ Piracy_Giant_Zoro.to_Now_Points_to
                        MPA/ACE_‘Seized_Domain’_Nameservers⠀⇛


                             Zoro.to, previously the world’s largest
                             pirate site, suddenly disappeared last week.
                             With over 205 million visits per month, that
                             was hugely significant, as was its rapid
                             reappearance under a new name. Site staff
                             initially claimed a new team had taken over,
                             then rumors of “DMCA” problems emerged. A few
                             hours ago, Zoro.to’s domain records began
                             pointing to name servers used by the MPA to
                             service seized domains. Copyright issues are
                             also confirmed.


                      # ⚓ Creative Commons ☛ A_Special_Episode_of_the_Open
                        Culture_Voices_Series,_Part_1⠀⇛


                             Topics addressed range from the fundamental
                             issues surrounding open culture, its
                             transformative impact, and the challenges it
                             faces in a world undergoing profound changes.



                    ䷩ 𝚕𝚒𝚗𝚎 5538

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 07.14.23⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


Gemini_version_available_♊︎


✐ Geminispace:_More_People,_More_Capsules,_and_Another_Search_Engine⠀✐


Posted in News_Roundup, Protocol at 5:24 pm by Dr. Roy Schestowitz


               🄸🄼🄰🄶🄴_🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽_⦇Kennedy:_Search_Gemini_Space⦈_
                        Kennedy: Searching Geminispace


Summary: We’re seeing signs of health and renewed growth in Gemini, which turns
5 next summer; there are at least 2,500 capsules (like sites) currently online,
there are many valuable tools, and we’re getting requests from ~500 unique
addresses each day


MAYBE it’s just something seasonal, maybe it’s an accident, but amost every day
this past week our Gemini capsule got visited by ~500 unique IP addresses per
day. The capsule serves about 100,000 pages per week, but many are sent back to
requests from bots (such as spiders). Either way, we’ll soon release the next
Gemini Links batch and it’s quite bulky. Some people announce that they’re
making a Gemini “comeback” or announce a future date of a comeback. In terms of
the number of capsules, Lupa was not updating its_numbers for about a week and
a half, but this was fixed yesterday. It’ll probably show well over 2,500
active capsules shortly. There’s also a new/improved search engine for Gemini
called Kennedy. It’s the fifth Gemini search engine we’ve stumbled upon and it
seems to be the best of the bunch of terms of presentation, functionality, and
depth. █



                    ䷩ 𝚕𝚒𝚗𝚎 5579

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 07.14.23⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


Gemini_version_available_♊︎


✐ Gemini_Links_14/07/2023:_Retro_and_Comebacks⠀✐


Posted in News_Roundup at 5:34 pm by Dr. Roy Schestowitz


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


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


          o § Personal/Opinions⠀➾


                # ⚓ Are_my_Eidolons_Merging?⠀⇛


                       I failed the universe’s tenuous strands that hold
                       its gauze together two days ago when I did not
                       write about the dream I had which featured not
                       Lucía herself, but a physical search for where she
                       might be. I used to have tangible address books and
                       there were essential to me. They were sacred.
                       Tangible address books! Ones one could actually
                       touch! Imagine that! And one of these tangible
                       address books still exists and it is in a box in
                       the closet in my bedroom in Seminole. When I was
                       last there in March, I did not peruse it. Next time
                       I shall.


                # ⚓ New_arrival:_First_post⠀⇛


                       There’s more coming, but I expect to fill this
                       gemlog with musings on food, society, culture,
                       technology, and the intersection of all the above.


                # ⚓ Secure_Your_Corner⠀⇛


                       Unforseen 99999 IQ mass brain fuckery will occur
                       soon and the only thing slowing it potentially down
                       is the friction of society.


                       AI isn’t going to steal anything, people with
                       energy & access will.


                # ⚓ “vampire_boys”_(2011)⠀⇛


                       so if you watch horror on tubitv you’re probably
                       aware of this movie. it’s just 70 minutes, it’s a
                       vampire movie, it’s gay, it’s TV-MA, i gave it a
                       shot this week.


                       so. if you don’t know me, hi, i’m sol, i like women
                       and vampires. i watch and write about lesbian
                       vampire movies (mostly 70s sexploitation) as a
                       hobby.


                # ⚓ summer,_at_pace⠀⇛


                       feeling persimmon-swelter-anxious. i’m on break.
                       i’m putting it out there:


                       day-month list:


                       - watch two movies, three movies, two shows
                       - dawn-walk


                # ⚓ UAF_Botanical_Garden_Photos⠀⇛


                       I took these photos over a week ago (July 4th) but
                       I haven’t had time to rename or label them. Rather
                       than wait for that, I’ll just dump them here as
                       they are. I might come back and label them later.
                       These were taken with the S5300 — no post-
                       processing.


          o § Politics and World Events⠀➾


                # ⚓ Food_systems_and_the_myth_of_individual_responsibility⠀⇛


                       I used to be in IT, so I think a lot about systems.
                       Modern life is full of systems. The size, depth,
                       breadth and interconnectedness of them is so vast,
                       but also somewhat obscured from the end-user. Not
                       just technical ones, although those are probably
                       the ones that most immediately come to mind for
                       most people here. Beyond the systems and algorithms
                       involved in serving content on the web, there’s
                       logistics systems that get packages and products
                       where they need to go. Our food environment is one
                       such system; from farm to manufacturer to retailer,
                       although that is a gross oversimplification. The
                       scale of these systems cannot be understated, and
                       it is only growing.


                # ⚓ It_was_never_about_clothes⠀⇛


                       I began crossdressing around the age of 10. That
                       may sound scary to some people but there was
                       something there that drew me to it inside myself.


          o § Science⠀➾


                # ⚓ A_Proof_that_0.999…=1⠀⇛


                       This inequality implies that the value of 1-x is
                       non-negative but less than the inverse of any
                       positive integer. 0 is the only number to have this
                       property: any possible nonzero value of 1-x could
                       be written as 1/r for some real r, but by choosing
                       n such that r<10^n, the inequality would fail to
                       hold. Thus 1-x must be 0, and x must be 1. Thus 1
                       is the smallest number no less than 0.(9)_n for all
                       n; extending this indefinitely, 0.999…=1.


          o § Technology and Free Software⠀➾


                # ⚓ NoteTaking_Navelgazing⠀⇛


                       Time for another mojito while navel gazing. /sip


                       I’ve been thinking about my reading and keeping
                       organized about it. It is less of a big deal with
                       fiction where either I finish or drop it quickly.
                       Then mark it accordingly on storygraph (https://
                       app.thestorygraph.com/).


                       But when I’m reading non-fiction, and I am reading
                       more of it lately, its less of a one and done
                       situation. I want to take notes, and then at a
                       later date be able to add on further/linking
                       discoveries, but where?


                       [...]


                       Digitally I suppose I can just use a website and
                       make a webgarden kind of thing. Maybe on Neocities.
                       While I like Storygraph in terms of keeping track
                       of what I complete, I find keeping track of where I
                       am/progress in it obnoxious.


                # ⚓ Day_5⠀⇛


                       Today I’ve mostly been catching up on the OCC blogs
                       and IRC chat. Basically a relaxed day as the rain
                       hammers down outside. I should be doing some
                       programming, maybe improving my scripts for
                       Mastodon, but I haven’t been in the right mindset/
                       mood.


                # ⚓ Day_4⠀⇛


                       Today I got to see more family I haven’t seen for a
                       while, including my cousin and her children. Also
                       stumbled across a swarm of burnett moths amongst
                       the lavendar.


                       Being away, I haven’t done much computing yet. I’ve
                       caught up on Mastodon notifications for my .social
                       account via the scripts (I haven’t got my
                       TopSpicy.social account set up with them yet)
                       though.


                       [...]


                       Trying to connect to the #OldComputerChallenge IRC
                       channel for the first time since my preparatory
                       period and it just seems to be hanging for some
                       reason? Not sure why.


                # ⚓ Note_for_anyone_using_Oracle_Cloud_with_Ubuntu_–_check_your
                  IPv6_addresses!⠀⇛


                       It turns out that Oracle Cloud has recently
                       introduced a bug that has broken IPv6 assignments
                       for servers running Ubuntu. Any IPv6 assignments
                       you’ve made in the management console will still be
                       visible in the console, but won’t actually apply to
                       your server after a reboot.


                       [...]


                       While investigating this I tried to use the gemini
                       web proxy proxy.vulpes.one, which I had used in the
                       past, only to find that it now redirects to some
                       sort of German cannabis retailer. If you’ve linked
                       to that site from anywhere previously, you might
                       want to go back and edit those links!


                # ⚓ asking_for_advice_about_computers⠀⇛


                       what are good computers? even the regular brands. i
                       don’t know much about specs and stuff (im happy to
                       listen to someone explain), and though this forum
                       tends to the smaller-scale indie retro aesthetic
                       stuff it is also the most nerdy (endearing) place i
                       know. thank you thank you thank you.


                # ⚓ Fix_Vivaldi_Graphical_Corruption_after_Linux_Update⠀⇛


                       I updated openSUSE today. And, after launching the
                       Vivaldi web browser, there was clear graphical
                       corruption within the Vivaldi window immediately
                       after launch.


                       This issue can also be triggered by a Vivaldi
                       update. I originally experienced this issue a month
                       ago when I updated Vivaldi on a different system.


                       The problem appears to be an underlying graphics
                       upgrade which invalidates Vivaldi’s graphics cache.


                # ⚓ re:_christyotwisty’s_5_questions_for_July,_2023⠀⇛


                       Here are my July answers to christyotwisty’s 5
                       monthly questions. Thank you for doing these,
                       christyotwisty! You give me m0ar to write about
                       aside from the usual computer geek stuff, even if
                       my answers are dumb. 🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇;)⦈


                # ⚓ OLD_COMPUTER_CHALLENGE:_DAY_]|[⠀⇛


                       LAB: 10:12 AM 76F/51%
                       CONSUME: Parsing recent mastodon enteries in home
                       timeline.
                       CONSUME: Reading #oldcomputerchallenge entries in
                       mastodon (toot)
                       GOPHER: matto is also using eeepc. Follow: ENABLED!


                # ⚓ OLD_COMPUTER_CHALLENGE:_DAY_IV⠀⇛


                       IRC: #opencomputerchallenge on libera.chat has much
                       activity @1840UTC


                            Discussions of eeepc, gemlog, wifi on
                            trains, rivella (beverage),
                            occ hardware woes, firmware upgrades,
                            etc.


                # ⚓ Old_Computer_Challenge_2023_–_Day_Five⠀⇛


                       Of all machines I have used with the ratpoison
                       window manager, this one has the most simple setup.


                       My plan for this edition of the Challenge was to do
                       as much as possible with Emacs. Before the
                       challenge I was already using Emacs for email, use-
                       net, RSS-feeds and following mailing lists, as well
                       as browse the Gemini- and Gopher space.


                       I knew that the big browsers like Firefox were not
                       going to work, so expected to use eww, the web
                       browser in Emacs.


                       A couple of weeks before the Challenges, I played a
                       bit with “rde”, which is a Linux distribution based
                       on Guix, focused at developers and power user. It
                       is developed by the brilliant Andrew Tropin.


                # § Internet/Gemini⠀➾


                      # ⚓ can_i_“afford”_simplicity?⠀⇛


                             I find myself occasionally smitten with the
                             very tiny, very minimalist sites on the web.
                             Websites found at the 1MB club, the well
                             known “best motherfucking websites” out
                             there, websites like starbreaker.org.


                             It always makes me think: shouldn’t I be
                             doing this too? Is there any way I can
                             implement that on my existing sites? What
                             would I lose and what would I gain?


                             [...]


                             The thing holding me back is the implications
                             such a design has for me as a person compared
                             to others.
                             Others who may use such a minimalist,
                             lightweight and focused design are different
                             from me. They may be male, they may be older,
                             they may have a portfolio full of amazing
                             tech stuff they have built. They are cut-to-
                             the-chase people, they may not be
                             artistically creative but they are seen as
                             very logical and good at tech things. I get
                             the impression that when they do it, they
                             have enough of their work, their personality
                             and other markers such as gender or age
                             working to ensure others are seeing it as the
                             deliberate choice that it is, and not lack of
                             skill.


                      # ⚓ comeback⠀⇛


                             With the end of August, i plan a comeback to
                             Geminispace.


                      # ⚓ First_thoughts_on_Gemini⠀⇛


                             Okay, it’s weird publishing here and not
                             getting that instant feedback dopamine hit
                             you’d get elsewhere. I know that’s by design,
                             and it’s part of the reason I signed up, but
                             it’s still weird to actually experience.
                             Everything here is slower and more
                             deliberate. I have a feeling it’ll be good in
                             the long term, just takes some getting used
                             to.


                # § Programming⠀➾


                      # ⚓ Wikipedia_haste⠀⇛


                             I threw these couple scripts together to
                             quickly satisfy wondering what Wikipedia has
                             per specified search/query terms.


                      # ⚓ Fake_RNG_for_fake_games⠀⇛


                             There are antiquity that feature bros at
                             dice; Achilles always beats Ajax. There are
                             storytelling reasons for this; Achilles is
                             the best, so therefore cannot lose, except
                             when the plot demands it. A continent over
                             Shakuni used dice that always rolled the
                             desired number. More examples can doubtless
                             be had.


                             Computer games sometimes feature not exactly
                             random numbers that favor storytelling or
                             skill over cold hard statistics; the rolls
                             are fudged to be more in line with what a
                             human expects, which is that a skill that
                             activates 33 percent of the time will roughly
                             follow the pattern of hit miss miss. A 95%
                             skill that misses twice in a row?
                             Fuggedaboutit!


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



                    ䷩ 𝚕𝚒𝚗𝚎 6021

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

⠀⌧ █▇▆▅▄▃▂▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁ 07.14.23⠀▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▂▃▄▅▆▇█ ⌧


Gemini_version_available_♊︎


✐ Links_14/07/2023:_Godot_Engine_Needs_Help,_AlmaLinux_Diverging_From_RHEL,
Rust_1.71.0_is_Out⠀✐


Posted in News_Roundup at 7:53 am by Dr. Roy Schestowitz


🄸🄼🄰🄶🄴 🄳🄴🅂🄲🅁🄸🄿🅃🄸🄾🄽 ⦇GNOME bluefish⦈


§ Contents⠀➾


    * GNU/Linux
          o Desktop/Laptop
          o Applications
          o Instructionals/Technical
          o Games
    * Distributions_and_Operating_Systems
          o Fedora_Family_/_IBM
          o Canonical/Ubuntu_Family
          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 Productivity_Software/LibreOffice/Calligra
          o Education
          o Programming/Development
                # Rust
    * § GNU/Linux⠀➾


          o ⚓ Linux_hits_highest_market_share_in_decades,_with_3%_of_desktops
            running_the_OS⠀⇛


                 Linux has never been as popular as Microsoft Windows or
                 Apple’s macOS; that has been true for decades. But
                 according to StatCounter’s latest data, the open-source
                 operating system hit a 3% market share in the desktop PC
                 space in June 2023 – pointing to a growing audience
                 enjoying Linux’s lightweight, bloatware-free, and
                 customization-friendly approach.


          o ⚓ this_company_is_designing_a_GPLv3_laptop_motherboard⠀⇛


          o § Desktop/Laptop⠀➾


                # ⚓ GamingOnLinux ☛ Star_Labs_announced_the_compact_Byte_Mk_II
                  PC⠀⇛


                       Need a new mini-PC? Hardware vendor Star Labs have
                       announced their refreshed Byte Mk II and it looks
                       like quite a tidy little unit.


                       Coming with an Intel N200 fanless processor, dual
                       1Gbps ethernet, coreboot and 8GB 3200MHz RAM (up to
                       16GB) and a 480GB PCIe SSD (up to 2TB) it has what
                       you need to get going. As usual for Star Labs it
                       has exceptional support for various Linux
                       distributions with you being able to configure it
                       with Ubuntu, Kubuntu, elementary OS, Linux Mint,
                       Manjaro and more options.


          o § Applications⠀➾


                # ⚓ Linux Links ☛ Machine_Learning_in_Linux:_LibreTranslate_is
                  Self-hosted_Machine_Translation⠀⇛


                       We recently explored Argos Translate, state of the
                       art neural machine translation software. That
                       software provides a Python library, command-line
                       interface, and a GUI.


                       LibreTranslate is a machine translation API which
                       is entirely self-hosted. This software lets you use
                       open source machine translation in your projects.
                       It uses Argos Translate for its translation engine.


                       We tested LibreTranslate with the Arch distro. As
                       we recommended in our review of Argos Translate,
                       use a virtual environment to install
                       LibreTranslate. We’ll use conda, but you may prefer
                       to run the software with Docker.


          o § Instructionals/Technical⠀➾


                # ⚓ Data Swamp ☛ Easily_use_your_remote_scanner_on_Linux_(Qubes
                  OS_guide)⠀⇛


                       Hi, this is a quick guide explaining how to use a
                       network scanner on Qubes OS (or Linux/BSD in
                       general).


                       I’ll be using a network printer / scanner Brother
                       MFC-1910W in the example.


                # ⚓ Ruben Schade ☛ My_home_IPv6_network_plans⠀⇛


                       Our ISP began offering IPv6 earlier this year.
                       Rather than a single public IPv4 address, we’ve now
                       been delegated a /48, from which our router can
                       DHCPv6 addresses to every Internet-connected
                       interface in our local domain.


                # ⚓ APNIC ☛ Privacy_and_networking:_Part_8_—_IPv6_addresses_and
                  privacy⠀⇛


                       One of the biggest advantages of IPv6, from a
                       network administration perspective, is the ease of
                       renumbering. While IPv4 networks can be renumbered
                       using DHCP, the process of changing the address of
                       every device on a network is always fraught with
                       unexpected challenges. People (like me) have a
                       habit of manually assigning printers and network-
                       attached storage (NAS) devices a fixed address so
                       they will be easy to find and use.


                # ⚓ University of Toronto ☛ Two_views_of_security_and
                  vulnerability_scanners⠀⇛


                       In my entry on how web server should refuse
                       requests for random URLs, I mentioned that we have
                       an open source security and vulnerability scanner.
                       Among the reactions I saw to that entry was people
                       who felt that such scanners are basically a bad
                       idea, and in thinking about the issue I’ve decided
                       that I can see two views of such scanners.


          o § Games⠀➾


                # ⚓ GamingOnLinux ☛ Factorio_upgraded_with_controller_support_–
                  now_in_the_stable_release⠀⇛


                       Factory building and automation sim Factorio has a
                       fresh stable release out, continuing years of free
                       upgrades and it now has gamepad controller support.
                       Becoming available first in the 1.1.83 experimental
                       build that I wrote about previously, the developers
                       continuing refining various bits in the game for a
                       few more testing releases before pushing it out to
                       everyone today.


                # ⚓ GamingOnLinux ☛ Godot_Engine_has_a_new_funding_platform_and
                  they’re_calling_for_help⠀⇛


                       With Godot Engine moving over to being supported by
                       the Godot Foundation directly, they’ve begun
                       pushing for people to support their efforts via
                       their new funding platform inspired by Blender.


                # ⚓ GamingOnLinux ☛ Nintendo_Switch_emulator_yuzu_makes_some
                  big_progress_in_the_latest_report⠀⇛


                       The incredible team building the Nintendo Switch
                       emulator yuzu have a new progress report out for
                       June 2023 and it’s quite a doozy. Yes June, they’re
                       running over previous work. As usual, it’s a
                       lengthy read full of technical speak and exciting
                       features and fixes so I’m here to summarise the
                       important bits for you.


                # ⚓ GamingOnLinux ☛ Team_Fortress_2_–_Summer_2023_Event_is_live
                  as_it_smashes_player_records⠀⇛


                       Finally it’s here! Valve has updated Team Fortress
                       2 with a Summer Event for 2023 and it appears to
                       have exploded the player counts. Going from around
                       100-125 thousand players at time to a record-
                       breaking 253,997 peak as of 2 hours ago. Seems TF2
                       has plenty of life left in it, if only Valve gave
                       it a bit more regular attention huh?


    * § Distributions and Operating Systems⠀➾


          o § Fedora Family / IBM⠀➾


                # ⚓ AlmaLinux Official ☛ AlmaLinux_OS_–_Forever-Free
                  Enterprise-Grade_Operating_System⠀⇛


                       In case you missed it, Red Hat announced they will
                       no longer be providing the means for downstream
                       clones to continue to be 1:1 binary copies of Red
                       Hat Enterprise Linux (RHEL). Very quickly, both
                       Jack and I shared some initial thoughts, but we
                       intentionally took our time deciding the next right
                       step for AlmaLinux OS. After much discussion, the
                       AlmaLinux OS Foundation board today has decided to
                       drop the aim to be 1:1 with RHEL. AlmaLinux OS will
                       instead aim to be Application Binary Interface
                       (ABI) compatible*.


                # ⚓ LWN ☛ AlmaLinux_to_diverge_(slightly)_from_RHEL_[LWN.net]⠀⇛


                       AlmaLinux has announced that the distribution will
                       no longer be a strict clone of Red Hat Enterprise
                       Linux, but will maintain ABI compatibility.


                # ⚓ Fedora Magazine ☛ Fedora_Linux_editions_part_4:_Alt
                  Downloads⠀⇛


                       Fedora Alt Downloads provides an impressive array
                       of alternative distributions, catering to diverse
                       needs within the Fedora community. Whether it’s
                       through Fedora Spins, Fedora Labs, Fedora Remixes,
                       Fedora Silverblue, or ARM editions, users can find
                       specialized distributions that suit their
                       requirements, preferences, and use cases. This
                       versatility and community-driven approach makes
                       Fedora Alt Downloads a valuable resource for Fedora
                       Linux enthusiasts, fostering innovation, and
                       customization within the Fedora ecosystem. You can
                       find complete information about Fedora Alt
                       Downloads at https://alt.fedoraproject.org/


                # ⚓ Linuxiac ☛ Clash_of_the_Titans:_Oracle_Jokes_with_Red_Hat⠀⇛


                       Red Hat’s move to restrict access to its source
                       code sparked outrage in the Linux community,
                       turning practically all open-source advocates
                       against it. However, everyone was waiting to see
                       how the industry’s big names would react to Red
                       Hat’s move.


                       SUSE was the first to publish a statement
                       criticizing the move, stating unequivocally that
                       they adhere firmly to the open source’s philosophy
                       and moral norms, confirming that they always have
                       and will continue to do so.


                       Later, they went even further, claiming their plans
                       to fork RHEL to develop a new distribution based on
                       it, ensuring everyone has free access to enterprise
                       Linux.


                # ⚓ Red Hat Official ☛ Red_Hat_Satellite_6.13.2_has_been
                  released⠀⇛


                       We are pleased to announce that Red Hat Satellite
                       6.13.2 is generally available as of July 12, 2023.


                       Red Hat Satellite is an infrastructure management
                       solution designed to provision and maintain any Red
                       Hat Enterprise Linux infrastructure – physical,
                       virtual, cloud and edge environments. Satellite
                       streamlines provisioning, patching and other
                       repetitive system management tasks to increase
                       efficiency while keeping systems secure, available
                       and compliant.


          o § Canonical/Ubuntu Family⠀➾


                # ⚓ DebugPoint ☛ Linux_Mint_21.2_“Victoria”:_Best_New
                  Features⠀⇛


                       Linux Mint buffs have reason to celebrate as the
                       much-anticipated release of version 21.2, codenamed
                       “Victoria,” brings many exciting updates and
                       improvements. Based on the latest Ubuntu 22.04 LTS
                       (codenamed “Jammy Jellyfish”) and powered by the
                       formidable Linux Kernel 5.15 LTS, this release is
                       set to elevate the Linux Mint experience to new
                       heights.


          o § Open Hardware/Modding⠀➾


                # ⚓ OpenWrt_embedded_OS_supports_Venice_ARM_SBCs⠀⇛


                       While Ubuntu has been the primary default operating
                       system for Venice, Gateworks is now providing
                       OpenWrt for the users that have requested the
                       networking-centric operating system.


                       [...]


                       OpenWrt is still considered an embedded operating
                       system and has a much smaller footprint than a
                       larger Ubuntu OS. It is ideal for wireless routers
                       and access points.


                # ⚓ Tom’s Hardware ☛ Raspberry_Pi_Pico_Powered_Cyberpunk_Neck
                  Watch_Tells_More_Than_Just_the_Time⠀⇛


                       In the past, people relied on pocket watches and
                       then wristwatches to keep track of time. Now thanks
                       to smartphones, those days are slowly fading away.
                       However, one maker and developer, known as Yakroo,
                       has started a new cyberpunk-themed trend for makers
                       with his latest project. Using a board with the
                       Raspberry Pi Pico’s RP2040, he’s created a wearable
                       neck watch that looks as cool as it is useful!


          o § Mobile Systems/Mobile Applications⠀➾


                # ⚓ Android Police ☛ Android_Auto_version_10_has_arrived⠀⇛


                # ⚓ Android Authority ☛ Android_Upgrade_Invite_will_try_to
                  convince_you_to_install_that_update⠀⇛


                # ⚓ Dev Discourse ☛ You_can_now_hyperlink_text_in_Google_Chat
                  on_web_and_Android⠀⇛


                # ⚓ Dev Discourse ☛ Android_mobile_device_case:_SC_to_hear
                  pleas_of_Google,_CCI_on_Oct_10_related_to_fine_on_tech_giant
                  |_Law-Order⠀⇛


                # ⚓ 9to5Google ☛ Gmail_for_Android_adds_new_nav_rail_for
                  foldables_[Gallery]⠀⇛


                # ⚓ The Sun ☛ Billions_of_Android_users_urged_to_delete
                  sinister_‘fake’_app_you_didn’t_realize_is_spying_on
                  everything_you_do_|_The_US_Sun⠀⇛


                # ⚓ The Sun ☛ Urgent_warning_for_Android_owners_to_delete
                  ‘malicious_app’_that_raids_your_bank_and_‘harvests’_your
                  secret_info_|_The_US_Sun⠀⇛


                # ⚓ Nokia Power User ☛ Nokia_XR20_5G_receives_a_new_Android_13
                  Build_[Markets]_–_Nokiapoweruser⠀⇛


                # ⚓ Mirror UK ☛ Nothing_rivals_Samsung_and_Google_with_a_unique
                  Android_phone_that_arrives_next_week_–_Mirror_Online⠀⇛


                # ⚓ Hindustan Times ☛ Nothing_Phone_(2)_review:_The_most
                  substantial_Android_phone_refresh_for_2023_–_Hindustan
                  Times⠀⇛


                # ⚓ Wired ☛ Nothing_Phone_(2)_Review:_Flashy,_Grayscale_Fun_|
                  WIRED⠀⇛


                # ⚓ Android Police ☛ Nothing_Phone_2_review:_Finding_its
                  niche⠀⇛


                # ⚓ Make Use Of ☛ 7_Top_Open-Source_Alternatives_for_Android
                  Apps_You_Use_Every_Day⠀⇛


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


          o ⚓ SDx Central ☛ Istio_Service_Mesh_hits_milestone_(years_after_the
            open_source_project_should_have)⠀⇛


                 The open source Istio service mesh project is hitting a
                 major milestone today as it officially graduates to be a
                 full project at the Cloud Native Computing Foundation
                 (CNCF).


                 Istio describes a service mesh as “a dedicated
                 infrastructure layer that you can add to your
                 applications. It allows you to transparently add
                 capabilities like observability, traffic management, and
                 security, without adding them to your own code.”


                 Graduation at the CNCF is an indication of the maturity,
                 usefulness, contribution and production-grade quality of
                 a project, which are all check boxes that Istio arguably
                 achieved years ago. Istio was originally started by
                 Google in 2017, where it remained until April 2022
                 despite repeated calls from users and other vendors for
                 the project to be contributed to a neutral third-party
                 organization. That organization is the CNCF, which is
                 also home to the open source Kubernetes container
                 orchestration project that is routinely the primary way
                 that Istio is deployed.


          o ⚓ Undeadly ☛ OpenBGPD_8.1_released⠀⇛


                 Version 8.1 of OpenBGPD, the OpenBSD Border Gateway
                 Protocol (BGP) routing daemon, has just been released.


          o ⚓ GamingOnLinux ☛ AMD_opens_up_the_FidelityFX_SDK_and_it’s_now_on
            GitHub⠀⇛


                 Helping game developers integrate various AMD FidelityFX
                 technologies into their games, AMD yesterday open sourced
                 the FidelityFX SDK.


          o § Web Browsers/Web Servers⠀➾


                # § Mozilla⠀➾


                      # ⚓ Mozilla ☛ 4_things_we_learned_from_Mozilla’s
                        Responsible_AI_challenge⠀⇛


                             From chat engines and generative apps to
                             self-driving cars, technologies that use
                             artificial intelligence continue to transform
                             our lives in new ways. But how do we create
                             AI that serves society without disempowering
                             some of us? How can we make sure these
                             innovations are fair and trustworthy?


          o § SaaS/Back End/Databases⠀➾


                # ⚓ YottaDB ☛ Making_lua-yottadb_Fast⠀⇛


                       TLDR: YottaDB is a fast and clean database and it
                       deserves a Lua API that is as fast as possible.
                       This article discusses how we improved lua-yottadb
                       to go ~4× as fast when looping through database
                       records, and a stunning 47× as fast when creating
                       Lua objects for database nodes, plus other
                       improvements (results here). Low-hanging fruit
                       aside, the biggest (and trickiest) improvement was
                       caching the node’s subscript array in the Lua
                       object that references a specific database node.
                       Finally, porting to other language wrappers is
                       discussed, as well as a tentative thought on how
                       YDB might support an even faster API. Along the way
                       we learned numerous things that might help someone
                       port these efficiencies to other languages.


          o § Productivity Software/LibreOffice/Calligra⠀➾


                # ⚓ A_complete_guide_to_factory_reset_LibreOffice_to_its
                  default_state⠀⇛


                       LibreOffice is a powerful and versatile open-source
                       office suite that provides a free alternative to
                       commercial software like Microsoft Office. While
                       using LibreOffice, you may encounter issues or
                       experience glitches that can disrupt your workflow.
                       In such cases, a factory reset can often resolve
                       these problems and restore LibreOffice to its
                       default settings. In this comprehensive guide, we
                       will walk you through how to factory reset
                       LibreOffice, step by step.


          o § Education⠀➾


                # ⚓ RIPE ☛ Connected_to_Port_53_–_A_Report_from_the_DNS
                  Hackathon_2023⠀⇛


                       DNS Hackathon took place during the weekend before
                       RIPE 86 in Rotterdam. Co-hosted by DNS-OARC, Netnod
                       and the RIPE NCC, it included 46 “hackers” who
                       worked on 6 projects, had a lot of fun and many
                       stroopwafels. Read about the results, and join us
                       next time!


          o § Programming/Development⠀➾


                # ⚓ Terence Eden ☛ A_whimsical_fuzzy_clock⠀⇛


                       And here we come to a central problem with any
                       fuzzy system – repetitiveness. How to make it say
                       something new every time it is called? I guess
                       there are three main approaches: [...]


                # ⚓ Evan Hahn ☛ A_picross_game_in_1024_bytes⠀⇛


                       It was challenging to fit this all in just 1024
                       bytes! This post is a retrospective on the project.


                # ⚓ Pierre Equoy ☛ Automated_blog_builds_with_Sourcehut⠀⇛


                       I am a happy Sourcehut user and I wanted to try its
                       build service. Every time changes are pushed to a
                       git repository hosted on Sourcehut, it is possible
                       to trigger a series of actions described in a
                       manifest that will be run in a virtual machine on
                       builds.sr.ht. If you’ve ever used Github Actions or
                       Gitlab Pipelines, you should be pretty familiar
                       with this concept.


                # § Rust⠀➾


                      # ⚓ Rust Blog ☛ Announcing_Rust_1.71.0_|_Rust_Blog⠀⇛


                             The Rust team is happy to announce a new
                             version of Rust, 1.71.0. Rust is a
                             programming language empowering everyone to
                             build reliable and efficient software.


                             [...]


                             The behavior for unforced unwinding (the
                             typical case) is specified in this table from
                             the RFC which proposed this feature. To
                             summarize:


                             Each ABI is mostly equivalent to the same ABI
                             without -unwind, except that with -unwind the
                             behavior is defined to be safe when an
                             unwinding operation (panic or C++ style
                             exception) crosses the ABI boundary. For
                             panic=unwind, this is a valid way to let
                             exceptions from one language unwind the stack
                             in another language without terminating the
                             process (as long as the exception is caught
                             in the same language from which it
                             originated); for panic=abort, this will
                             typically abort the process immediately.


                             For this initial stabilization, no change is
                             made to the existing ABIs (e.g. “C”), and
                             unwinding across them remains undefined
                             behavior. A future Rust release will amend
                             these ABIs to match the behavior specified in
                             the RFC as the final part in stabilizing this
                             feature (usually aborting at the boundary).
                             Users are encouraged to start using the new
                             unwind ABI variants in their code to remain
                             future proof if they need to unwind across
                             the ABI boundary.


                      # ⚓ LWN ☛ Rust_1.71.0_released_[LWN.net]⠀⇛


                             Version 1.71.0 of the Rust language has been
                             released. Changes this time include the C-
                             unwind ABI, an upgrade to musl 1.2, and more.


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