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

The corresponding HTML versions are at 𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈

Latest in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒕𝒙𝒕 and older bulletins can be found at 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒕𝒙𝒕-𝒂𝒓𝒄𝒉𝒊𝒗𝒆𝒔

Full IPFS index in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒊𝒑𝒇𝒔 and as plain text in 𝒉𝒕𝒕𝒑://𝒕𝒆𝒄𝒉𝒓𝒊𝒈𝒉𝒕𝒔.𝒐𝒓𝒈/𝒊𝒑𝒇𝒔/𝒕𝒙𝒕

Gemini index for the day: gemini://gemini.techrights.org/2023/07/14/

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

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

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QmWC5nc2zme8oc7V87AHBm275wreXXD6G6YWhNk2pX7S4N

QmeNoHJkarTENUDHE3tyzk5Uw87Ezhnh5bscpLEmYcfkG3

QmQNqcXVdpFC7Dy1DDQNn6VG8aNg8SYE5D3tagLkWN6VNc

QmNcDtLguMnK6g2P9hYgUDXrhhkWJauNyaAHHFFDBBEXiT

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Qmd2N8zDJWjp1k8G8TZ9qkezZ3tVCy71nCH2uyEyqhvqKk

QmQxBbguP5tP2oBvgaJ3SpY8WB38S8QkDiymH11684Gxyk

QmQfkFUURdpavnA99kkEeuKvv2spgSRSBNZsuGWjxSj6TA

QmQDXpSwwXa8x3aFUiEVyBQGoPdoAurwhwkZqevtRM9J8J

QmT4urppYGV6wtQk91Ds3deT7SsQ3AKuYf3VN37VvNk2qR

QmasujSV14SYodqVBnYkSHEBvN8gzayhyNTqdBswmMDFNz

QmQdvh82AWtR2RnGK2Cj3u8vJcrTMU5tjCwiAWSaAeauPB

QmT3zoVAjnNMysG3AwrDjJB6E9mZMfdBiE526FeMLjsPCr

QmPraPUCdTb8axjdqzL5vWQtyPGoMq9yFiK4Ts9Y1VUCRd

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QmacHX3CByCabNojZpnuR5dX8yT6XtWXfvRAHjs7XHfQZT

╒═══════════════════ 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

(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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✐ 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

(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/

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

(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/

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

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                                #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

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§ Bulletin for Yesterday⠀➾

Local_copy | CID (IPFS): QmacHX3CByCabNojZpnuR5dX8yT6XtWXfvRAHjs7XHfQZT

                ䷩ 𝚕𝚒𝚗𝚎 435

(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/

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

⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⡿⡿⣿⣿⢿⢿⢿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

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

⣿⣿⠙⣹⢙⡻⢛⡻⡻⣻⡹⢛⣿⡏⣹⠋⢹⡛⠏⡟⡛⡟⣻⡏⠙⡏⠟⠻⢹⠛⡻⣛⠟⢟⢻⡏⡟⢛⣿⠉⠛⠻⣛⢛⢻⠛⡟⡛⠟⡻⢻⡏⡹⢏⠙⠛⣛⡟⡻⣛⠿⢛⡟⡛⡏⣛⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣯⣾⣼⣬⣴⣮⣴⣼⣼⣷⣥⣾⣧⣧⣦⣴⣵⣀⣷⣵⣧⣿⣧⣾⣤⣮⣵⣼⣬⣶⣬⣦⣿⣼⣧⣧⣵⣿⣦⣮⣼⣬⣼⣦⣧⣧⣿⣔⣑⣼⣧⣧⣼⣴⣴⣥⣧⣷⣭⣶⣥⣶⣥⣧⣿⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⡟⠻⢋⢰⢙⠟⠟⢛⣻⣯⠆⣹⠴⣹⣟⠻⡛⠟⡟⠟⡟⣛⠛⣿⣿⣿⣿⣿⡟⢿⢻⢻⣻⣻⡏⣿⠙⣟⡿⣟⡿⣿⣿⠟⣿⣿⢻⠛⠟⢹⣿⡏⢿⢻⣻⣛⣿⠻⢻⣛⣿⡏⡟⢿⣻⡛⠟⣿⢿⣻⣿⣿⣿⣿⣿⣿⣿

⣿⣷⣶⣾⣾⣶⣷⣶⣾⣿⣷⣶⣶⣶⣾⣿⣤⣷⣶⣷⣶⣷⣷⣶⣾⣿⣿⣿⣿⣿⣿⣾⣾⣧⣿⣷⣿⣶⣿⣼⣷⣿⣽⣷⣷⣿⣷⣷⣷⣷⣾⣿⣷⣿⣾⣿⣿⣷⣷⣿⣿⣿⣷⣿⣿⣾⣶⣷⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣽⣯⠋⡙⣿⣏⣹⢨⢝⣭⡟⢻⣿⢭⠋⡽⡉⣯⣽⢭⢸⡟⡭⡽⣛⡉⣯⣿⡇⡇⡍⣋⢹⣿⣭⡫⡙⢫⢯⣽⣿⣽⢏⢟⢫⣽⣿⣭⡏⡙⢫⠽⡉⣯⡅⢋⠻⡭⣿⣿⣏⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣏⣾⣷⣮⢰⣙⣆⣷⣇⣆⣰⣾⣶⢸⣷⣾⣷⣷⣮⣿⣳⣋⣎⣷⣱⡁⣶⣷⣾⣰⣡⢧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

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

⣿⣟⣿⣿⣿⣿⣟⣟⣿⣿⣿⣻⣻⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣻⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣻⣟⣿⣿⣻⣿⣿⣿⣿⣿⣻⣿⣿⣿⣻⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⠿⢙⣋⣉⣭⣭⣭⣥⣤⣤⣤⣤⣭⣭⣭⣍⣋⡛⠿⢯⣿⣽⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣦⣍⣛⠛⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠟⣛⣩⣵⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣼⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿

⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣤⣤⡤⠤⠤⠤⠤⠤⠴⠶⠶⠶⠒⠒⠒⠒⠚⠛⠛⠋⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿

⣿⡏⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿

⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠂⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿

⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿

⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿

⣿⡇⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿

⣿⡇⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿

⣿⡇⠀⠀⠀⠀⠀⠀⠀⠐⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⠂⠀⠂⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⢑⠂⠑⢦⠐⣢⣐⠂⠀⠀⣄⣖⢴⠐⠦⡔⣢⡄⠀⢸⣿⣿⣿⣿⣿⣿

⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢀⠄⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢈⠠⠂⠾⠆⠐⠓⠀⠀⠘⠀⠲⠤⠀⢈⠀⠀⣀⠀⠀⠈⠠⠤⢠⡄⠀⡈⠀⠀⠺⢿⣿⣿⣿⣿⣿

⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠊⠀⠀⠩⠣⠇⠀⠀⠀⠀⢀⣶⣶⣿⣿⣷⣜⠴⡀⢠⡰⠆⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠈⠁⢶⣿⣿⣦⣴⡄⠢⠇⠁⠌⠁⠀⠀⢀⣼⣿⣿⣿⣿⣿

⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣑⣄⠝⠁⢀⣴⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⠇⠛⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿

⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⡀⠀⠐⠀⠤⠚⣿⠖⢀⡀⠀⠀⣿⣿⣿⣿⠛⢿⣿⣿⣿⣬⣛⠄⠀⡼⢛⣿⣿⣿⣷⣶⣶⣾⣿⣶⣤⡀⠀⢨⣿⡀⠀⣀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿

⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢀⠀⠀⣶⠟⣏⠰⣶⡆⠀⠀⠀⣰⢽⣿⣷⣿⣿⣿⣿⣷⡟⠀⢈⣶⡀⢼⣿⣿⣿⣿⣿⣿⣿⣯⣻⡗⠀⠀⠀⠂⠀⢿⠀⠀⠀⠀⠀⠠⠀⢸⣿⣿⣿⣿⣿

⣿⡇⠀⠀⠀⠀⠀⠀⠀⣴⣷⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⣀⣥⡀⠉⠁⠀⠀⢸⣿⠿⢟⣿⣿⣿⣿⣿⢟⠁⢠⣿⣿⡻⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣷⠀⠀⠀⠀⠀⠛⠃⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿

⣿⡇⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣦⣄⠀⠀⠠⠀⠀⠀⠀⠀⠀⢠⠂⠀⠀⢉⠀⠁⠀⠀⠀⠀⢿⡌⣿⣿⣷⣿⣿⠏⣸⢀⡆⠈⠁⡀⠘⢿⣿⣿⣿⣿⠋⢹⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢸⣿⣿⣿⣿⣿

⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣷⣦⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠈⠃⣽⣿⣿⠿⢋⣴⣧⣼⢃⠀⠀⢿⡿⠈⠿⢿⣿⣧⢀⢰⣿⣿⣿⣇⠀⠀⠀⠀⣀⡀⠀⣼⣿⣤⠀⠀⢸⣿⣿⣿⣿⣿

⣿⣇⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⣀⠈⠀⠀⣀⡀⠘⠀⠀⠀⣤⠀⠈⢉⣅⣰⣿⣿⣿⣿⡀⠀⠀⠈⠀⠀⠀⠀⠒⠉⢅⣿⣿⣿⣿⣿⣦⡀⠀⠀⢛⡋⠀⣻⣿⣿⣶⠀⢸⣿⣿⣿⣿⣿

⣿⣿⣷⣦⣀⣠⣶⣾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⢹⡄⠀⣄⡁⢰⠁⠀⠀⣼⡿⠀⠀⠘⣿⡿⠯⣽⢻⣇⠀⠀⠀⠀⠁⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠈⠁⠀⠹⠿⢿⠾⠃⢸⣿⣿⣿⣿⣿

⣿⡇⠉⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠈⠓⠀⠈⠁⠟⠀⠀⠈⠉⠟⠀⠀⠠⠼⡿⠂⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿

⣿⡇⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⣤⣤⣤⣤⣤⣤⣄⢀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢋⠛⠿⣿⣿⣿⠿⢟⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿

⣿⡇⠈⠀⠀⠀⠀⠀⣀⡾⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣾⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⡜⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿

⣿⡇⠀⠀⠀⠀⠀⠀⠛⠁⠀⠀⠀⠈⠉⠉⠙⠛⠿⢿⣿⣿⣿⣿⠟⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⣼⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿

⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠻⡻⢟⠛⣛⠛⣿⡟⢨⣭⡟⠛⠻⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣉⣙⣑⣊⣠⣭⣴⣬⣥⣮⣉⣓⣉⣙⣘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⡇⠀⣏⣙⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘⣿

⣏⣹⣩⣙⣍⣹⣽⣋⣉⣉⣿⣩⣉⣋⣉⣍⣿⣙⣹⣉⣉⣉⣏⣋⣉⣉⣉⣽⣉⣩⣭⣍⣉⣝⣉⣏⣉⣉⣉⣉⣩⣏⣉⣋⣍⣏⣉⣍⣏⣉⣉⣍⣉⣉⣏⣉⣉⣉⣉⣏⣍⣉⣉⣉⣹⣉⣭⣉⣉⣋⣉⣿⣿⣿⣿⣿⣿⣿

⡏⠭⢽⠿⢿⣯⡹⢫⠹⠿⡿⠿⡿⢿⣿⢋⣝⡿⠿⡿⠿⡏⣿⠻⡯⠿⠿⡿⠿⣿⡏⣍⢻⠿⠿⢿⢿⡏⡟⢹⢹⠽⠿⡏⠿⡿⠿⡿⠿⣿⠋⢿⠉⣿⠿⢿⠿⠿⠿⠿⢿⠿⢿⠫⠟⢿⡟⠍⡻⠿⢿⠿⢿⠿⢿⠻⣿⣿

⣧⣈⣙⣥⣱⣞⣵⣌⣨⣡⣮⣣⣣⣜⣿⣬⣩⣧⣣⣇⣢⡇⠿⠌⠇⠬⠡⠧⠇⠿⠇⠩⠴⠔⠼⠤⠿⠿⠰⠆⠾⠨⠢⠇⠇⠧⠢⠦⠢⠿⠼⠤⠇⠿⠌⠽⠸⠬⠡⠅⠸⠌⠥⠼⠇⠽⠯⠁⠄⠍⠼⢔⣼⣼⣸⣌⣿⣿

⡿⠿⢿⠿⣿⠿⢿⣿⠿⢿⢿⢿⡿⣿⣿⣿⣿⣿⡿⠿⢿⡇⢰⣶⢶⡶⣶⣶⣶⣶⣶⣶⡶⣶⣶⣶⣶⣶⠶⡶⣶⢶⣶⣶⣶⢶⣶⣶⣶⣶⣶⣶⣶⠶⠶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢶⣶⣶⢸⣿⣿⣿⣿⣿⣿

⡗⠭⢉⠤⢡⠍⣸⣿⠨⢜⢸⢸⡇⡇⠆⡇⡆⣿⣇⠿⢢⠀⠈⣿⢨⡘⡡⠬⡡⠬⠀⠆⡇⢠⡎⡱⠆⣿⡇⢱⠀⡆⠦⡁⣶⢈⢺⠠⢼⣴⠤⢺⣿⠨⠽⢰⣤⡎⠠⠆⣿⡱⢎⡌⣰⠠⢼⠰⢸⣿⣿⢸⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠘⠛⠛⠛⠛⠛⠛⠛⠚⠛⠛⠛⠛⠒⠒⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠚⠛⠛⠛⠛⠒⠛⠛⠛⠛⠛⠛⠛⣸⣿⣿⣿⣿⣿⣿

⣷⣮⣉⣉⣹⣍⣉⣿⣉⣉⣹⠏⠻⠉⠉⠉⠽⠁⠇⠩⠍⠥⠉⠏⠉⠏⠄⠉⠍⠉⠩⠼⠭⠍⠁⠉⢏⣉⣹⣁⣉⣉⣯⣹⣘⣹⣁⣉⣁⣏⣩⣫⣏⣌⣉⣍⣉⣈⣩⣇⣀⣋⣉⣩⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⡿⢿⠿⡿⠿⣿⠿⢿⡿⠿⠿⢰⣶⡶⡶⢶⠶⣶⣶⣶⡶⠶⠶⠶⠶⠶⣶⠶⣶⣶⡶⠶⢶⣶⣶⣶⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⠿⡿⠿⡿⣿⢿

⣷⣾⣶⣶⣶⣶⣾⣶⣾⣶⣶⠘⠛⠓⠓⠒⠓⠒⠒⠛⠒⠒⠒⠒⠒⠒⠓⠒⠚⠒⠓⠒⠚⠛⠛⠛⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⣷⣾⣶⣶⣷⣶⣾

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠉⠉⠉⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠉⠉

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠘⠃

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⠄

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠄

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶

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

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠠⡄

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣄⣀⠀⠀⠀⠀⢀⣀⣤⣤⣀⠀⠀⠀⠀⠀⠀⣀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⣀⣀⣀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⢿⣿⡿⡿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠅⠀⠀⢸⣿⣿⣿⣿⡟⠀⠀⠀⠀⠙⡇⠦⣇⣆⣻⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣉⣉⡙⣝⣉⡍⣹⣙⡏⣉⣙⣉⣉⣉⣝⣍⣉⣹⣉⣏⣉⣙⣉⣉⣙⣩⣍⣉⣯⣹⣩⣫⣉⣉⣩⢻⣿⣿⣿⣿⣿⣿⣿⣿

⠭⠭⠭⢽⣿⣿⣿⣿⣇⠂⠀⠀⠀⢀⡇⠭⡏⠡⠩⠇⢠⠙⠋⠁⡍⠋⠍⡏⠈⣿⣿⣿⣿⣿⠛⠙⡛⠛⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣴⣿⣯⣿⣽⣿⣿⣯⣿⣿⣿⣽⣿⣿⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⢉⡍⠉⠛⢻⡯⡽⡟⠛⠛⡟⡟⠋⢻⢻⣯⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠈⠓⠒⣶⡌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣇⠀⠀⣧⣬⣼⣼⣴⣦⣬⣤⣌⣨⣼⣿⡇⠀⢸⡇⠀⠄⢀⠐⡇⢀⢀⠀⢀⡀⠀⢀⢠⣇⠀⠀⠀⠀⠀⣰⠵⣿⣏⣉⣉⣁⣉⣏⣉⣉⣈⣹⣉⣏⣉⣏⣉⣉⣉⣹⣁⣸⣉⣉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⢿⣿⡿⠿⣿⡿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⢿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⣿⣿⡿⣿⡿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⢘⣛⠀⡒⢸⡇⡌⠀⠩⠍⠩⠩⢉⡩⢭⡇⠈⢃⠘⣭⠉⡉⠩⢹⡇⣿⡏⡉⡍⢋⢩⠉⢠⢠⡉⠽⡏⡉⠁⣽⡇⠙⡀⠘⢩⡭⢩⢩⠙⡉⠍⣭⠁⡄⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣾⣿⣶⣿⣾⣷⣿⣶⣶⣶⣷⣷⣷⣶⣶⣷⣾⣿⣶⣶⣶⣿⣶⣾⣷⣶⣶⣶⣇⣼⣶⣾⣾⣾⣶⣾⣷⣶⣶⣾⣷⣿⣷⣾⣶⣶⣾⣶⣶⣶⣶⣶⣷⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                ䷩ 𝚕𝚒𝚗𝚎 586

(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/

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:

⚓ 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.

⚓ 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.”

⚓ 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.

⚓ 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.

⣿⣿⡟⠛⠻⡟⢻⣿⣿⣿⣿⠛⣿⡟⢻⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⡟⢻⠛⠛⠛⠛⠛⡟⢻⣿⠛⠛⢿⣿⣿⣿⣿⡿⢿⠛⣿⡟⢻⢿⣿⡿⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⢿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿

⣿⣿⡇⢈⠀⡇⢈⠀⢹⢡⣈⠀⠁⡄⢸⡟⢠⠈⠀⡄⢸⠀⠁⢈⣿⡇⢸⠀⠀⣉⠀⣉⡇⢸⣿⠀⡁⠈⢀⢸⠁⠈⡄⢸⠀⠁⡆⢠⢠⣿⣧⡈⠺⠁⠈⠀⡇⠀⢈⡈⢀⡉⠠⢸⣿⠀⡧⠜⢠⠈⠁⡄⠋⠀⢹⣿⣿⣿

⣿⣿⣇⣈⣀⣇⣀⣈⣸⣈⣠⣀⣆⣀⣈⣡⣈⣠⣄⣡⣈⣀⣄⣠⣿⣇⣈⣠⣀⣉⣀⣿⣇⣸⣿⣀⣁⣤⣈⣸⣀⣠⣇⣸⣀⣄⣃⣸⣈⣿⣧⣈⣠⣀⣀⣄⣁⣀⣸⣧⣀⣤⣈⣸⣿⣄⣁⣤⣈⣠⣀⣁⣆⣁⣼⣿⣿⣿

⣿⣿⡏⢹⣿⣿⣿⣿⣿⠉⣿⣿⣿⣿⣿⠉⣿⣿⣿⣿⣿⣿⣿⡟⢉⠻⣛⡟⢻⠉⡏⢹⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡇⢸⡇⢐⠨⢀⠈⠀⠁⡆⢐⠈⢠⠀⣿⡇⡄⢸⢰⠀⣿⡇⢈⠀⠀⡆⢰⠀⡁⢸⠀⠀⡇⡆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣧⣤⣴⣤⣴⣤⣤⣤⣧⣴⣤⣴⣤⣤⣿⣧⣤⣾⣼⣤⣿⣧⣤⣤⣤⣧⣤⣤⣧⣼⣤⣤⣧⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣇⣶⣁⣇⣕⣝⣷⣂⣸⣂⣀⣀⣰⣖⣰⣗⣎⣸⣇⣇⣀⣪⣘⣂⣂⣀⣿⣣⣐⣤⣇⣐⣐⣔⣐⣖⣷⣀⣀⣗⣅⣁⣆⣯⣀⣀⣀⣕⣇⣀⣸⣂⣖⣭⣘⣀⣇⣱⣑⣇⣰⣹⣀⣐⣀⣵⣸⣎⣈⣸⣿⣿⣿⣿⣿⣿

⣿⣿⡏⠉⠹⡋⠩⡏⢹⠛⠉⠉⡍⠉⠩⡯⡉⠉⣽⠍⠉⣻⡍⠉⠍⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⡿⠋⠀⠀⠀⠈⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⡇⢀⠄⢸⠀⠀⠀⡇⠀⠀⢸⠀⠀⠀⢸⣿

⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⡧⡴⡧⢤⡼⠤⢠⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣤⣤⣧⣤⣤⣼⣤⣤⣤⣧⣤⣤⣼⣤⣤⣤⣼⣿

⣿⣿⣇⠀⠀⠀⠀⠀⢀⣼⣧⣤⣤⣭⣥⣤⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣷⣤⣤⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⠛⢻⠛⠛⠛⢛⢻⠛⠛⠛⡟⠛⢻⠛⠛⡟⠛⠛⡛⢻⠛⠻⠛⡟⠛⠛⢻⠛⠛⠛⠛⠛⡟⠛⠻⠛⠛⠛⢻⠛⠛⢛⠛⢻⠛⠟⠛⠛⠛⠛⠛⠛⠛⢛⠟⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠶⠾⠶⡶⠶⠶⢾⠶⢶⠶⠷⠶⠾⠶⡶⠷⢶⠶⠶⠶⢾⢶⠶⠷⢶⢾⠿⠶⠾⠶⢶⠶⠷⡶⠾⠶⠶⠶⠾⠶⠶⠾⠶⢾⠶⣶⣶⣶⣶⣷⣶⣾⣶⣷⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣧⣤⣤⣼⣤⣤⣦⣤⣤⣤⣤⣦⣤⣴⣥⣬⣤⣤⣼⣬⣤⣤⣴⣤⣦⣤⣯⣼⣤⣤⣧⣤⣤⣤⣤⣤⣤⣤⣴⣤⣤⣦⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⡿⣿⣿⣿⢿⣿⣿⣿⠿⣿⡿⣿⡿⣿⡿⢿⢿⣿⣿⣿⣿⣿⢿⣿⢿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⡿⣿⣿⣿⣿⡿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⣤⣤⣀⣦⣤⣴⣤⣤⣤⣴⣤⣤⣌⣷⣤⣶⣮⣴⣤⣤⣤⣤⣧⣤⣼⣤⣤⣤⣤⣤⣧⣤⣤⣔⣠⣤⣧⣴⣧⣤⣤⣤⣤⣧⣬⣮⣴⣤⣧⣾⣬⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣈⣉⣹⢉⣉⣩⣏⣉⣨⡉⣏⣉⣉⣉⣍⣉⣉⣸⣉⣈⣈⣃⣠⣶⣇⣩⣉⣹⣉⣉⣉⣈⣀⣁⣉⣹⣉⣉⣈⣏⣉⣉⣉⣉⣩⣹⣈⣉⣉⣏⣉⣁⣟⣉⣉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠛⠛⢻⠛⢛⠛⡛⢻⠹⠉⠫⣹⠛⠛⠛⠛⢻⠛⡛⢹⢛⠛⡟⠛⠉⡛⢻⠛⡟⠙⠛⠛⠛⡟⠛⡟⠟⣛⠛⡟⠛⠛⠙⠛⠋⠛⡛⢻⠛⠛⡟⠙⢋⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠻⠿⠿⠿⠿⢿⠿⢾⠿⠿⠾⠿⡶⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

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

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⠿⢿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣤⣦⣧⣴⣧⣤⣧⣤⣬⣧⣿⣽⣤⣿⣼⣴⣤⣤⣤⣼⣤⣤⣬⣦⣭⣮⣥⣴⣥⣼⣯⣦⣯⣤⣤⣼⣤⣼⣤⣤⣽⣤⣧⣤⣤⣤⣬⣯⣿⣦⣤⣧⣵⣤⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣈⣉⣹⣩⣉⣩⣏⣉⣉⣉⣌⣉⣹⣉⣉⣩⣁⣀⣏⣹⣒⣱⣨⣇⣄⣂⣨⣅⣰⣇⣀⣍⣋⣹⣉⣉⣡⣍⣈⣸⣉⣉⣍⣩⣙⣁⣇⣉⣏⣽⣁⣎⣉⣈⣭⣉⣻⣋⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠙⠛⠏⠛⡟⠛⠿⢫⢻⢟⢟⠋⡟⠛⠛⣿⢟⣿⠙⢻⣛⡿⠛⠿⠙⢛⢿⢛⠛⡻⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

                ䷩ 𝚕𝚒𝚗𝚎 732

(ℹ) Images, hyperlinks and comments at http://techrights.org/2023/07/14/workers-under-attacks/#comments

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

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:

⚓ 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.

⚓ 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.

⚓ 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.

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣻⣻⣿⣿⣭⣽⣷⣾⣿⣿⣿⣿

⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠛⠻⢻⠃⢛⣛⡿⡿⣿⠿⠿⡿⢿⣿⣿⣿⡿⣿⡟⠛⠿⣿⠿⢿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠁⠀⠹⡄⢸⣝⠖⠙⠛⠀⠐⠛⢻⣿⣿⠏⡍⣉⡃⠀⡀⠃⠈⠚⠑⠋⢘⠃⠀⠍⣁⣿⣿⠩⠥⠧⢸⠰⠿⠂⠿⠿⠾⣿⠗⠀⠗⠋⢹⣷⣏⡛⡏⠁⢀⣯⠂⣾⣯⡿⣿⡏⢉⠭⠙⠙⣧⣧⠄⠻⣟⣛⣀⣋⣭⣙⣿⠿

⡒⠒⠛⡇⣾⢋⣥⠀⠀⠀⠀⠀⢸⢿⡏⢦⢷⡟⢛⣻⣇⣀⢀⢀⡄⡀⢸⢀⡤⠀⠻⣿⣿⠀⣄⠀⢸⠀⠀⠀⢸⠀⠁⣿⠾⠿⠤⢀⡈⢿⣿⡄⠀⠈⡇⠀⠀⡇⡀⣀⣀⣀⣀⠀⠀⠀⠸⢻⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿

⠃⢤⡤⡇⢻⣿⣿⣻⣃⣮⣾⣤⠀⠜⣿⣿⣿⣿⢾⢿⣟⣿⣿⣿⢛⣿⣿⣾⣿⣶⣶⠬⠼⢜⢻⣿⣾⣄⣀⣀⣼⣿⠤⡇⢀⢠⣏⢰⡶⢘⣽⣯⣇⣴⣿⢄⣰⣿⣾⣷⣶⣢⣤⣀⣏⠁⣤⠀⠿⣿⣛⠿⠿⣿⡿⡿⣿⣿

⣄⠾⡻⡇⣦⠉⢻⣿⣯⣽⣿⣿⣧⠛⠻⠻⢻⣿⣶⠲⢿⡿⣿⣿⣿⣿⣿⡿⣿⡿⢸⣆⣀⡈⣀⣽⣿⣿⣿⣿⣿⣿⣥⡇⠁⣨⣿⣿⣟⢾⣿⣿⣿⡨⣽⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣦⡀⣿⣿⣾⣿⣏⣿⣾⣿⠛

⣠⠔⢵⡇⣿⣯⠟⢿⣿⣿⣿⣿⣿⠀⡆⠀⠊⠙⠊⠈⠼⠒⢲⣿⣿⣿⣿⡿⠎⣴⣸⡟⢀⠀⢀⠸⣟⢻⣿⣿⣿⣿⣿⢶⡸⣿⣿⣿⡥⠦⠄⠼⠯⢹⡿⠛⢿⣿⣟⡽⠇⣀⠉⠉⢙⡛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣧

⢥⡥⢬⣥⣬⣍⠁⠀⠛⠛⠛⠋⠛⠠⠠⡀⢁⠀⠀⢀⣀⣴⣿⣿⣥⣿⣿⣇⢖⣟⡚⠁⣥⣤⣤⠠⣦⠥⡝⠛⠿⠿⠿⠸⠟⢟⣿⣿⣥⣄⠀⢰⠀⠘⣧⢄⠹⠌⠉⠁⠂⠐⠃⠠⠡⠴⠤⠔⠀⠠⠤⠈⠭⢽⣿⣿⣿⠶

⢆⣭⡀⢸⣿⣿⠠⠤⠤⠤⡄⠀⠐⠀⠀⢈⣉⣀⣰⣿⣿⣿⣿⣿⣿⡟⠽⡿⢃⡓⣷⢀⠑⠄⠁⠀⠀⠐⠈⡐⠄⠀⠀⡇⠀⢸⣿⣿⣿⣿⣿⣿⢸⣿⣿⡮⠄⠀⠀⠀⠀⠁⠂⡇⣿⣿⡟⡍⡿⢉⢻⣿⡿⢸⣿⣿⠛⠋

⣾⣶⡒⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⡿⢿⡛⣻⣿⠷⠞⢒⠂⠐⣿⣿⠀⠀⠀⠀⠀⢀⠀⠑⡀⠀⠀⠀⠀⣾⣿⣦⣿⣿⣿⣿⣾⣿⣿⣿⠀⠀⠀⠀⠉⠀⠀⠁⣿⣿⣧⣔⣉⣢⣾⣿⡇⠸⣿⣿⡆⣦

⠿⠿⠿⠿⠿⠿⠀⠀⠀⠀⠁⣀⣴⣿⣿⣿⣿⣿⡿⣿⣀⣤⣏⠛⠛⣀⠥⢿⠟⠣⣷⡯⠤⢤⡤⠤⠀⠠⠤⠤⠽⣀⡀⢁⠰⠿⠛⣿⣿⣿⣿⡇⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠿⠤⠯⠼⠧⠼⢿⣦⡇⢸⣯⠍⠁⠺

⠁⠁⣀⡀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⡟⢀⡌⡉⣶⣿⣿⣿⠟⢳⠐⠉⣹⣛⣛⡁⣇⠓⡖⠒⠒⣠⠀⠀⠀⣔⡒⠛⠢⡄⣤⣴⣾⣿⣿⢿⣿⡇⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⢀⠀⠄⠀⠀⠀⠀⢰⣾⣿⠁⠀⠀

⠳⠆⠀⠐⠒⠒⠀⠀⢠⣿⣿⣿⣿⣿⣿⣤⣿⣾⣿⣿⣿⣿⣶⡖⠀⠀⠘⠿⠿⠁⡏⡆⠧⢔⠒⠒⢒⡒⣒⣒⣒⠒⠒⠛⠋⠙⠋⠁⢠⣿⣮⢁⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠤⠤⠼⠤⠄⢐⡤⠀⠀⣈⠸⣟⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⢀⡆⠈⠀⠀⣧⡇⠁⠀⢀⠌⢁⢀⠾⠦⠡⠈⢢⠀⢌⢥⠤⠄⠀⣿⣿⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢔⠁⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡉⠡⢤⡤⠤⠵⢶⣐⡟⣿⡇⠀⠘⡍⠹⣩⡿⢯⡉⠉⡸⠀⣮⢂⣤⣤⣾⣿⡇⢸⢿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⠿⢇⡀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠵⠼⠴⠝⠊⠀⠀⠀⠀⠀⠘⢻⠟⠁⢀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠿⠿⠿⣿⣿⣿⣿⣯⠉⠙⠃⢢⣦⣜⢦⡤⠀⠀⢀⠀⠀⠀⠉⠛⠉⣉⣉⣹⣿⣿⣿⣿⡯⠙⢷⣀⡀⢰⣄⢴⣾⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣤⣤⣤⣤⣤⣄⣠⣿⣿⣿⣿⣆⣀⣀⣀⣈⣿⣿⣿⣷⣀⣀⣀⡀⠙⣮⡧⢐⡆⠘⠀⢰⣿⣶⣤⣴⣿⣿⣿⣿⣿⣿⣿⣇⠀⢙⣛⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠩⣻⣿⡟⠛⠒⣚⣻⣿⣿⣿⠿⠿⢿⣿⣿⣿⣷⣶⣤⣤⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⢀⣤⣙⠦

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡠⢀⣀⠉⠳⣾⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣷⣤⣼⣿⣿⣿⣿⣿⣿⣿

⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣶⡾⠻⣦⢤⠉⠉⠉⢉⣙⣒⣓⣒⣀⣀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣭⡛⠿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠛⠛⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠛⠻⠛⠻⠿⠿⣿⣿⣿⣿⣿⣷⣄⡙

⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠻

⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣍⣳⠄⠀⠀⣰⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⡆⣿⣷⣶⣶⣶⣶⣶⠀⣶⣶⣤⣀⣒⣲⠄⢦⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡿⡟⠫⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⡿⡟⠃⠋⠉⠋⠉⠛⡋⠉⠀⣘⠛⠛⠛⠛⣛⣻⠼⡛⣿⣿⣇⠀⢠⣤⣼⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⢋⡿⠿⠀⠰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠉⠁⠈⠛⠉⠃⠀⠉⠁⠉⠛⠛⠻⠻⠿⠀⠘⣿⡟⠀⢸⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣷⡀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⡇⣿⣿⠀⣿⣿⣿⡇⢻⣿⡄⣿⣿⠁⠀⢸⣿⣿⢸⣿⡏⢸⣿⣿⠠⠜⡇⠀⢸⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠁⢫⣟⠛⠢⠿⠛⠛⠛⠛⠋⠉⠉⠉⠉⠀⣿⣿⣥⣿⣿⠀⣿⣿⣃⡀⠘⣿⣷⣿⠇⠀⠀⢸⣿⣿⣼⣿⡇⢸⣿⣿⠀⣊⢁⠀⠈⠿⠿⠿⠿⠿⢿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢀⠸⣶⡦⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡛⣿⣿⠀⣿⣿⡟⢃⡀⢹⣿⡿⢠⣶⡖⢸⣿⣿⢻⣿⡇⢸⣿⣿⢀⣴⣶⣤⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⣀⣀⣼⣏⣀⣿⣄⣘⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⣥⣤⠀⢸⣿⡇⠀⠀⠀⢸⣿⣿⢸⣿⡇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣟⠶⣄⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠙⣛⣻⣯⣙⣻⣿⣿⣿⣿⠀⠀⠀⠀⠉⠉⠁⠉⠉⠀⠉⠉⠉⠉⠠⠈⠉⠁⣴⣷⣄⠈⠉⠉⠈⠉⢉⣌⠉⠉⠀⠀⠐⠒⠒⠂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠂⠀⠀⠀⠀

⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣐⣀⣒⣒⣒⣒⣒⣀⣀⣀⣠⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⠒⠓⠒⠒⠒⠀⠒⠻⠟⠒⠀⠀⠂⠐⠒⢺⣿⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⣂⣀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣒⣒⣛⣻⣍⠀⠈⢉⣹⣀⣀⣯⣭⠉⣉⠉⠉⠈⢈⣈⡀⠀⠀⢀⣠⣬⣤⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣾⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣶⣾⣿⣿⡁⠀⠀⠀⢺⠿⠿⢿⣾⣾⣿⣷⣾⣨⣿⣃⠁⠀⠠⠌⠉⠉⠹⠀⠀⠀⠀⠀⠰⢿⡇⠀⠀⠀⠀⠀⠀⣀⣠⣤⣽⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⡄⠀⠀⠀⠀⣩⡿⠿⠿⠿⠿⠿⠿⠧⠄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣗⡀⣀⣺⣿⣿⣗⣾⣿⣷⣴⣶⣷⣶⣤⣀⣠⣤⣴⣶⣶⣶⣾⠀⠀⢸⣶⣶⣤⣄⠈⠑⣀⡀⠐⠻⣿⣿⣿⣿⣿⣿⣿

⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠉⠉⠁⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠈⠉⠉⠉⠉⠉⠁⢻⣿⣆⠀⠈⠉⠉⠉⠉⠉⠉

[39A⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿

⠛⠻⢻⡂⢛⣛⡿⡿⣿⠿⠿⡿⢿⣿⣿⣿⡟⠛⡟⠿⠿⣿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠁⠀⠹⡀⢸⣝⠖⠙⠛⠀⠐⠛⢻⣿⣿⠏⡍⣉⡃⠀⡀⠃⠈⠊⠑⠋⢘⠃⠀⠍⣁⣿⣿⠩⠥⠧⢸⠰⠷⠂⠿⠿⠾⣿⠇⠀⠗⠋⢹⣿⣏⡛⡇⠁⢀⣯⠂⣾⣯⡿⣿⡏⢉⠭⠉⠐⣦⣿⠛⠻⣣⣨⣀⣉⣛⣿⣿⠩

⡒⠒⠓⡇⣞⣉⣥⠀⠀⠀⠀⠀⢸⢿⡏⢦⢷⡟⢛⣻⣇⣀⢀⣀⡄⡀⢸⠀⣤⠀⠻⣿⣿⠀⣄⠀⢸⠀⠀⠀⢸⠀⠁⣿⠾⠿⠤⢀⡈⢿⣿⡄⠀⠈⡇⠀⠀⣇⠀⣀⣀⣀⣀⠀⠀⠀⠸⢻⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿

⠃⢤⣄⡇⢻⣿⣿⣻⣃⣾⣱⣦⠀⠜⣿⣿⣿⣿⢾⢿⣿⣿⣿⣟⠛⣿⣿⣾⣿⣶⣶⢬⣼⣜⢻⣿⣾⣄⣀⣀⣼⣿⠠⡇⢀⢠⣿⣽⡶⢘⣹⣯⣇⣴⣿⢄⣰⣿⣦⣷⣶⣢⣤⣄⣏⣁⠠⠀⠿⣿⣛⠿⠿⠿⠿⢿⣿⣿

⣄⠼⡿⡇⣮⡉⢻⣿⣿⣽⣿⣿⣿⡜⠻⠻⢻⣿⣶⠲⢿⡿⣿⢿⣿⣿⣿⣿⣿⠾⢸⣆⡀⡈⣂⣽⣿⣿⣿⣿⣿⣿⣵⣃⠁⣨⣽⡿⠟⢾⣿⣿⣿⡨⣽⣿⣿⡿⣻⣿⣼⣿⣿⣿⣿⣿⣶⣤⡀⣿⣿⣶⣿⣿⣾⣿⣟⠛

⣡⠔⠅⡇⣿⣧⠸⢿⣿⣿⣿⣿⣿⠀⡆⠀⠊⠙⠊⠈⠼⠒⢲⣿⣿⣿⣿⡿⠏⣤⣸⡏⢀⠀⢀⠸⣛⢻⣻⣿⠟⢿⣿⢺⡾⣿⣿⣧⡬⠦⠄⠼⠯⢹⡿⠛⣿⠟⠛⠿⡃⡀⢌⡉⢙⡛⡛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷

⢥⡤⢤⣥⣭⣍⠀⠀⠛⠛⠛⠙⠛⠠⠠⡀⢁⠀⠀⢀⣤⣴⣿⣿⣴⣿⣿⡑⣞⣟⡚⠁⣥⣤⡤⠠⣦⠥⡝⠒⠷⠿⠿⠸⠟⣟⣿⣿⣴⣦⡀⢰⠀⠘⣧⢄⠟⠒⠈⠀⠃⠒⠃⠠⠤⠴⠤⠶⠀⠠⠤⠈⡭⢽⣿⣿⣷⠶

⢆⣭⡀⢸⣿⣿⠠⠤⠤⠤⡄⠀⠐⠀⠀⠈⢉⣀⣼⣿⣿⣿⣿⣿⣿⣿⡿⢿⠁⠓⣷⢀⠁⠄⠁⠀⠀⠐⠈⡐⠄⠀⠀⡇⠀⣿⣿⡿⣿⣿⣿⣿⢨⢷⣿⣿⣿⣿⡄⠀⠀⠁⠂⡇⣿⣿⡟⡍⡿⢉⢻⣿⡿⢸⣿⣿⡛⠋

⣾⣶⡒⣿⡟⢻⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⡿⠟⣿⡿⠿⠟⠛⢒⠂⠔⣿⣿⠀⠀⠀⠀⠀⢀⠀⠑⡀⠀⠀⡀⢸⣿⣿⣷⣿⣿⣿⡏⣷⣦⡩⣿⣿⣿⣇⠀⠉⠀⠀⠁⣿⣿⣧⣔⣉⣢⣾⣿⡇⢸⣿⣿⡗⣶

⠽⠿⠿⠿⠿⠿⠀⠀⠀⠀⠁⠀⣠⣶⣿⣿⣿⣿⣿⣿⣷⣾⣿⣣⣀⣀⠽⢾⠟⠣⣷⡯⠤⢤⡤⠤⠄⠠⠤⠤⠽⣀⡀⣁⣾⣿⣿⡟⢼⣿⣿⡇⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠿⠤⠯⠼⠧⠼⢿⢤⡇⢸⣶⣭⠉⠩

⠁⠁⣀⡀⠀⠀⠀⠀⠀⠀⢨⣾⣿⣿⣿⣍⠈⡉⠛⣶⣿⣿⣿⡟⠋⠉⠹⠉⠉⠁⣇⠓⡖⠂⠒⣠⠀⠀⠀⣔⡒⠛⠢⣄⣀⢛⡛⢳⣿⣿⢿⡇⣿⣿⢏⣽⣿⣿⣿⣦⠀⠀⠀⠀⠀⢀⠀⠄⠀⠀⠀⠀⠠⡸⡿⡋⠀⠀

⠳⠆⠀⠐⠒⠒⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣟⡁⠀⠀⠠⠁⡏⡆⠧⠔⠒⠒⢒⡒⣒⣖⣒⠒⠒⠛⠂⠀⠸⣿⠟⠃⣼⠃⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠠⠤⠼⠤⠄⢐⡤⡀⠀⠀⠡⠃⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣻⣿⣿⠂⠀⠀⣧⡇⠁⠀⢀⠄⢁⢀⠾⠦⠡⠈⢢⠀⢜⢥⣤⠀⠀⠼⡿⢸⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠤⠃⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣠⣤⣹⣷⡤⣐⡟⣿⡇⠀⠘⡍⠹⣩⡿⢯⡉⠉⡸⠀⣮⢂⣤⠀⠀⢠⡇⢸⣿⣿⠟⣋⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⣷⣿⣟⣿⣿⣿⣿⣿⣿⣇⠒⠑⠛⠻⣦⡹⠁⠀⠀⠀⠀⣀⣀⡈⠒⣱⠼⠴⠝⠊⠀⠀⠀⠀⠀⠀⠀⠀⡄⠸⠟⣿⣄⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡏⢻⣿⣿⣿⣿⣿⣦⡀⢀⠸⣿⣷⣀⣀⣠⣾⣿⣿⣿⣿⡎⢙⣿⣭⡉⠉⠓⠉⠁⠀⠀⢰⣆⢰⣶⡶⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣤⣤⣤⣤⣄⣀⣀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣗⣀⣿⣀⣉⣻⣿⣿⣿⣦⡐⣚⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⢠⣤⣬⣿⣷⣤⣄⣦⠰⣔⢾⣿⡿⡙⣧⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⣤⣔⣢⢄⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠨⠽⢿⣏⣉⣉⣭⣽⣿⣿⣿⡛⠛⠿⠷⣶⣿⣶⣶⣶⣶⣾⣿⣿⣿⣿⣭⣤⣤⣄⣀⣀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣖⠠⣄⣈⠛⠿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣟⠛⠙⠛

⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠓⣢⣤⣀⣀⣀⣈⣭⣍⣠⣦⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣍⣻⣿⡏⠠⣀⡀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠉⠉⠉⠙⠉⠉⠛⠉⠉⠉⠉⠉⠉⠛⠻⠛⠻⠿⠿⣿⣿⣿⣿⢿⣦⣌⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠈⠛⠻

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣟⡑⠀⠀⣰⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢰⣶⣶⡆⣶⣶⣶⣶⣶⣶⣶⠀⣶⣶⣤⣀⣒⣲⠄⢦⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢛⠋⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⡿⠟⠃⠋⠉⠉⠙⠛⠃⠈⠀⣘⠛⠛⠛⠛⣛⣻⠼⡛⣿⣿⣇⠀⢠⣤⣼⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠏⣻⠓⠂⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠀⠀⠈⠐⠀⠀⠀⠀⠀⠀⠛⠀⠃⠀⠉⠁⠉⠛⠛⠻⠻⠿⠀⠘⣿⡟⠀⢸⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡿⣿⣿⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⡇⣿⣿⠀⣿⣿⣿⡇⢻⣿⡄⣿⣿⠁⠀⢸⣿⣿⢸⣿⡏⢸⣿⣿⠠⠜⡇⠀⢸⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⣯⣛⠂⠿⠛⠛⠛⠛⠋⠉⠉⠉⠉⠀⣿⣿⣥⣿⣿⠀⣿⣿⣀⡀⠘⣿⣷⣿⠇⠀⠀⢸⣿⣿⣼⣿⡇⢸⣿⣿⠀⣊⢁⠀⠈⠿⠿⠿⠿⠿⢿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢀⡀⣿⡦⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡛⣿⣿⠀⣿⣿⠟⢃⡀⢹⣿⡿⢠⣶⡖⢸⣿⣿⢻⣿⡇⢸⣿⣿⢀⣴⣶⣤⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⡀⣀⣼⣟⣀⣿⣆⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⣤⣤⠀⢸⣿⡇⠀⠀⠀⢸⣿⣿⢸⣿⡇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⣛⣻⣏⣙⣻⣿⣿⣿⣿⠀⠀⠀⠀⠉⠉⠁⠉⠉⠀⠉⠉⠉⣉⣀⡈⠉⢁⣴⣷⣆⡈⠉⢉⢈⣉⣉⡌⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣐⣀⣒⣒⣒⣒⣒⣀⣀⣀⡀⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⠒⠒⠒⠒⠂⠀⠀⠻⠟⠀⠀⠀⠀⠂⠤⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⣀⣀⣀⣀⣀⣀⣀⣀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣛⣿⡇⠀⠀⣿⣿⣿⣿⣍⠀⠈⠉⢹⣀⡀⠉⠉⠀⠀⠀⠀⠈⢈⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⣿⣿⣿⣿⡀⠀⠀⠀⢺⠿⠿⢷⣶⣶⣶⣶⣦⣠⣿⣀⠀⠀⠀⠀⠀⠀⢾⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣷⣶⡄⠀⠀⠀⠀⠩⠿⠿⠿⠿⠟⠿⠿⠧⠄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣷⡀⣀⣰⣶⣴⣂⣄⣴⣄⣀⣀⣀⣀⣀⡀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠐⠻⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠉⠉⠁⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠉⠉⠁⢻⣿⣯⠍⠉⠉⠉⠉⠉⠉⠉

[39A⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣻⣻⣿⣿⣭⣽⣷⣿⣿⣿⣿⣿

⣿⣿⣿⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠛⠻⢻⡃⢛⣛⡿⡿⣿⠿⠿⡿⢿⣿⣿⡟⠛⢻⣿⠿⠿⣿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠃⠀⢹⡆⢸⣟⠖⠙⠛⠀⠐⠛⢻⣿⣿⠏⡍⣉⡃⠀⡀⠇⠈⠚⠑⠋⢘⠃⠀⠍⣁⣿⣿⠩⠥⠧⢸⠰⠿⠃⠿⠿⠾⣿⠇⠀⠗⠋⢹⣿⣟⣛⡏⠁⢀⣿⠂⣾⣯⡿⣿⡏⢉⠽⠁⠐⣾⣿⠛⠠⣤⣨⣀⣟⣿⣯⣽⠹

⡒⠒⠓⡇⢺⣉⣧⠀⠀⠀⠀⠀⢸⢿⡏⣦⢷⡟⢛⣯⣇⣀⢀⣀⡄⡀⢸⠀⣨⠄⠻⣿⣿⠀⣤⠀⢸⠀⠀⠀⢸⠀⠁⣿⠾⠿⠤⢀⡈⢿⣿⡄⡄⠈⡇⠀⠀⣇⠀⣀⣀⣀⣀⡀⠀⠀⠸⢻⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿

⠃⠤⣄⡇⢺⣿⣿⣻⣃⣞⣸⣦⠀⠜⣿⣿⣾⣿⢾⢟⣟⣿⣿⡛⠓⣿⣿⣾⣿⣶⣾⣬⣼⣜⢺⣿⣾⣤⣀⣀⣼⣾⠤⡇⢀⢠⣪⣿⣷⢘⣽⣍⣇⣴⣿⢄⣀⣷⣷⣿⢶⣆⣤⣠⣯⣁⢠⠀⠿⣿⣛⠿⠿⠿⠿⢿⣿⣿

⣄⠤⡿⡇⣷⣍⣻⣿⣿⣹⣿⣿⣿⡔⠻⠻⢻⣿⣶⠲⢿⡿⣿⢏⣿⣿⣿⣿⡿⢾⢸⣆⡀⡈⣂⣽⣿⣿⣿⣿⣿⣿⣷⡇⠁⠨⢻⣿⡿⢿⣿⣿⣿⠨⣿⣿⣽⣿⢿⣿⣼⣿⣿⣿⣿⣿⣾⣤⡰⣿⣯⣺⣿⣏⣶⣿⣿⠛

⣡⠔⠄⡇⣿⣿⡿⣿⣿⣿⣿⣿⣿⠀⡆⠀⠊⠙⠊⠈⠼⠒⣲⢿⣿⣿⣿⡿⠇⢤⣸⡟⢀⠀⢀⠸⣝⣻⢻⣿⣿⣿⣿⢸⡀⠀⠿⢿⡿⠦⠄⠼⠟⢻⡿⢻⣿⠿⢏⡻⡇⡀⠌⠉⠙⡛⡛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷

⢥⡤⢤⣥⣭⣍⠡⠘⠛⠛⠛⠙⠛⠠⠠⡀⢁⠀⠀⢀⣠⣶⣿⣿⣼⣿⣿⡁⢈⣝⡚⠁⣥⣤⣤⠠⣦⠥⡝⠛⠿⠿⠿⠸⠟⡄⠀⣾⣢⣤⣄⢰⠀⠘⣧⣜⠻⠦⠍⠁⠃⠋⠁⠠⠭⠼⠤⠶⠀⠠⠤⠈⡭⢽⣿⣿⣻⠶

⢆⣭⡀⢸⣿⣿⠠⠤⠤⠤⡄⠀⠐⠀⠀⠈⢉⣀⣼⣿⣿⣿⣿⣿⣿⣿⠿⠟⣘⠓⣷⢀⠑⠄⠁⠀⠀⠐⠈⡐⠄⠀⠀⡇⠀⠃⣸⣿⣿⣿⣿⣿⣸⣿⣿⣿⡄⠀⠀⠀⠀⠁⠂⡇⣿⣿⡟⡍⡿⢉⢻⣿⡿⢸⣿⣿⡟⠋

⣾⣶⡖⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⡿⣟⣿⡿⠿⢿⣟⣒⠂⠔⣿⣿⠀⠀⠀⠀⠀⢀⠀⠑⡀⠀⠀⡀⠀⢠⣿⣿⣶⣽⣿⡿⣟⢿⣿⣿⣿⡀⠀⠀⠩⠀⠀⠁⣿⣿⣧⣔⣉⣢⣾⣿⡇⢸⣿⣿⡷⣶

⠿⠿⠿⠿⠿⠿⠀⠀⠀⠀⠁⠀⣠⣴⣯⣿⣿⣿⣿⣿⣷⣾⣏⢄⠠⠀⠥⢽⠟⠣⣷⡯⠤⢤⡤⠤⠄⠠⠤⠤⢽⣀⡀⣁⠀⢾⣿⡟⣿⣿⣿⡇⣿⣾⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠿⠤⠿⠼⠧⠼⣿⣦⡇⢸⣬⣙⠛⠺

⠁⠁⣀⡀⠀⠀⠀⠀⠀⠀⣨⣿⣿⣿⣿⡏⢈⡉⠛⣶⣿⣿⣿⣮⠀⠐⡝⣛⣛⡁⣇⠓⡖⠒⠒⣲⠀⠀⠀⣔⡖⠛⠢⣄⣀⡁⠛⠃⠊⢽⣿⡇⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⢀⠀⠄⠀⠀⠀⠀⠀⡚⠖⠂⠀⠀

⠳⠆⠀⠰⠒⠒⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣼⣷⣿⣿⣿⣿⣿⣿⣄⡀⠐⠿⠿⠁⡏⡆⠧⢔⠒⠒⢒⡒⣒⣒⣒⠒⠒⠛⠂⠠⠀⠀⠀⢾⠿⢡⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠠⠤⠼⠤⠄⢐⡤⡀⠀⠀⡱⠁⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣯⠟⢫⢡⠖⠄⠦⠀⣧⡇⠁⠠⢀⠜⢁⢂⠾⠦⠡⠈⢢⠀⢜⢭⣤⠀⠀⠀⣴⢸⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣽⡋⠁⠤⡶⠤⠦⢶⣀⡟⣿⡇⠀⠘⡍⠹⣩⡿⢯⡉⠉⡹⠀⣮⢂⣤⠀⠀⠘⡏⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣶⣿⢿⣿⣿⣿⣿⣷⣌⠉⠋⠀⠀⠀⢀⣀⣀⡀⠀⣀⠀⠀⠀⠈⠒⠵⠼⠴⠝⠊⠀⠀⠀⠀⠀⠀⢀⣼⡇⢾⡿⠇⠋⠛⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣤⣤⣴⣿⣿⣿⣿⡷⠈⣻⣯⣌⣾⣷⣾⣿⣯⠉⢯⡭⠛⠉⠁⠀⠀⠀⣹⢱⣋⡁⠀⠄⠀⣷⠈⣿⣿⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣤⣤⣤⣤⣤⣀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣏⣉⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⣌⣭⣽⣿⣿⣿⡿⢿⣦⡘⠲⠠⠀⠀⠀⣀⢤⣀⡽⡝⣷⠀⠀⠀⠻⣤⣿⣿⣤⣤⣴⣶⣶⣽⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠁⠾⢿⡿⠋⠉⢉⣩⣭⣿⣿⣿⠛⠛⠿⠿⠿⣿⣿⣿⣿⣿⣶⣶⣿⣶⣶⣶⣾⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣄⣀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣖⡂⠤⣄⡙⠻⢿⣿⣿⣿⣿⡿⣋⡀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣬⡛⢿⣿⣿⡏⠈⠀⠀⠉⢿⣿⣿⣿⣷⣶

⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢛⣛⣿⣿⣿⠿⠿⠿⠿⠿⠶⢢⣄⣀⣠⣤⣭⣭⣥⣤⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣄⠲⢦⠀⠀⣀⡀⠉⠉⠉⣙

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠈⠉⠁⠉⠀⠉⠀⠈⠉⠉⠉⠙⠙⠛⠉⠛⠉⠉⠉⠉⠉⠉⠛⠛⠛⠛⠷⣶⣤⣄⡀⠉⠛⠳⠶⠶

⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠒⠷⠴⠶

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣛⠤⠀⠀⣰⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣷⣿⡄⣶⣶⣶⣶⣶⡶⢶⠀⣶⣶⣄⣐⣒⣲⠄⢦⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣟⡿⠁⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣟⠋⠁⠉⠁⠀⢉⡙⠋⠈⢀⣈⡉⣉⣉⣛⣛⣿⡼⡛⣿⣿⣇⠀⢠⣤⣼⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⢛⡿⠦⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠀⠀⠘⠾⠆⠁⠂⠀⠀⠘⠛⠚⠁⠀⠀⠀⠈⠟⠙⠿⠿⠻⠀⠘⣿⡟⠀⢸⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣇⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⡇⣿⣿⠀⣿⣿⣿⡇⢻⣿⡄⣿⣿⠁⠀⢸⣿⣿⢸⣿⡏⢸⣿⣿⠠⢜⡇⠀⢸⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⠁⠸⣛⣛⠧⠿⠛⠛⠛⠛⠋⠉⠉⠉⠉⠀⣿⣿⣧⣿⣿⠀⣿⣿⣃⡀⠘⣿⣷⣿⠇⠀⠀⢸⣿⣿⣼⣿⡇⢸⣿⣿⠀⢏⢁⠀⠈⠿⠿⠿⠿⠿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢀⠘⣿⣆⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⣿⣿⠀⣿⣿⡟⢃⡀⢹⣿⡿⢠⣿⡇⢸⣿⣿⢻⣿⡇⢸⣿⣿⢀⣴⣷⣤⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⢀⣀⣀⣴⣟⣀⣿⣇⣀⣃⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⣥⣤⠀⢸⣿⡇⠀⠀⠀⢸⣿⣿⢸⣿⡇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸

⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠙⣛⣛⣟⣙⣻⣿⣿⣿⣿⠀⠀⠀⠀⠉⠉⠁⠉⠉⠀⠉⠉⣉⠉⣀⡈⠉⠁⠀⠠⠂⠈⠉⠉⠈⠉⠁⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺

⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣐⣒⣒⣒⠒⠒⠒⠀⠀⣀⣀⣀⣠⣤⣤⣤⡀⠀⠀⠀⠀⠀⠒⠀⠈⠩⠀⠄⠀⠠⠅⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢂⣀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠸⣿⣿⣿⣿⡍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠘⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣿⣿⣿⣿⣗⡀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⠀⠀⢸⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠉⠁⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠩⠁⢻⣿⣯⠍⠉⠉⠉⠉⠉⠉⠉

⠛⠻⢻⡃⢛⣛⡿⡿⣿⠿⠿⡿⢿⣿⠛⠻⢻⣿⣿⠿⠿⣿⠿⠟⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠁⠀⢹⡆⢸⣟⠖⠙⠛⠀⠐⠛⢻⣿⣿⠏⡍⣉⡃⠀⡀⠏⠈⠚⠑⠋⢘⠃⠀⠍⣁⣿⣿⠩⠥⠧⢸⠰⠷⠂⠿⠿⠾⣿⠗⠀⠗⠋⢹⣿⣟⣛⡏⠁⢀⣿⠃⣾⣯⡿⣿⡏⢉⠴⠁⠙⣿⣿⠤⠤⣤⣸⣛⣟⣩⣭⣹⠿

⡒⠒⠛⡇⠺⣏⣧⡀⠀⠀⠀⠀⢼⢿⡏⢦⢷⡟⢻⣯⣇⣀⢀⣠⣄⡀⢸⠀⣨⠄⠻⣿⣿⠀⣤⠀⢸⠀⠀⠀⢸⠀⠁⣿⠾⠿⠤⢀⡈⢿⣿⡄⡀⠈⡇⠀⠀⢇⠂⣀⣀⣀⣀⡀⠀⠀⠸⢻⣯⣾⣾⣿⣿⣿⣿⣿⣿⣿

⠃⠤⠤⡇⣴⣿⣿⣿⣷⣞⣾⣦⡀⠜⣿⣿⣿⣿⢞⢟⣟⣿⣿⠛⢛⣿⣾⣾⣿⣧⣾⣬⣼⣞⢺⣿⣾⣤⣀⣀⣸⣾⠤⡇⢀⢠⣂⣽⣶⢜⣽⣍⣇⣴⣿⢄⣀⣿⣶⣿⢶⣆⣤⣄⣯⡁⣦⡀⠿⣿⣿⠿⠿⠿⡿⠿⣿⣿

⣄⠤⠬⡇⣿⣯⣽⣿⣿⣿⣿⣿⣿⠌⠻⠻⢻⣿⣶⠶⢿⡿⣿⢍⣽⣿⣿⡿⣟⠿⣸⣖⣀⡚⣂⣝⣿⣿⣿⣿⣿⣏⣑⡇⠁⠨⠃⣿⣿⣿⣿⣿⣿⠨⣿⣿⣽⣿⡿⣿⣼⣿⣿⣿⣿⣿⣾⣷⣤⣾⣻⣟⣻⣉⣷⣾⣿⡟

⣡⠄⠖⠃⣿⣿⣿⣿⣿⢿⣿⣿⣿⠆⡆⠀⠊⠙⡊⠈⠼⢲⣿⣿⣿⣿⣿⡿⠇⣭⣸⡟⢀⠀⢀⠸⣙⢿⣿⣿⣿⣿⣿⢸⠀⠈⠀⣿⡿⠿⠄⠼⠏⢻⡿⢛⣿⠿⠟⢻⡇⡀⠉⠉⢙⡛⡛⠿⠿⢿⣿⣿⣾⣿⣿⣿⣿⣿

⢧⡤⢭⣥⣭⣍⠹⠚⠛⠘⠛⠛⠛⠠⠠⡀⢁⠀⠀⠀⣴⣾⣷⣴⣿⣿⣿⠉⢀⣜⡚⠁⣥⣤⣤⠠⣦⠥⡝⠛⠿⠿⠿⠸⠗⠄⠀⢸⣆⣤⣤⣰⠀⠘⣧⣜⠛⠶⠔⠃⠂⠋⠀⠠⠤⠼⠤⠔⠲⠠⠤⠈⠭⠍⣿⣿⣿⡿

⢆⣭⡀⢸⣿⣿⠰⠤⠤⠤⡄⠀⠐⠀⠀⠈⣉⣀⣠⣾⣿⣿⣿⣿⣿⡿⠻⠿⢐⠗⣷⢀⠑⠄⠁⠀⠀⠐⠈⡐⠄⠀⠀⡇⠀⠀⠀⣟⣿⣿⣿⣿⣼⣿⣿⣿⣆⠀⠀⠀⠀⠁⠂⡇⣿⣿⡟⡍⡿⢉⢻⣿⡿⢰⣿⣿⣿⠋

⣾⣶⡖⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⡿⣿⢿⣿⣿⠅⢘⣒⠂⠔⣿⣿⠀⠀⠀⠀⠀⢀⠀⠑⡀⠀⠀⡀⠀⠀⣸⣿⣾⣦⣿⣿⣿⣻⣿⣿⣿⣆⠀⠀⠩⠀⠀⠁⣿⣿⣧⣴⣉⣢⣾⣿⡇⢸⣿⣿⣿⣷

⠿⠿⠿⠿⠿⠿⠀⠀⠀⠀⠁⠀⣠⣾⣿⣿⠿⣿⣿⠿⣇⣰⠿⢻⠷⢀⠼⢿⠟⠣⣿⡯⠤⢤⡤⠤⠄⠠⠤⠤⢽⣀⡀⣁⠀⠠⣿⡿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣾⠀⠀⠀⠀⠀⠀⠿⠤⠿⠼⠧⠼⢿⣦⡇⢸⣷⣽⡛⠫

⠁⠁⣀⡀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⢇⣠⢀⢨⣿⣿⣿⣞⠉⢸⣽⣿⣙⣛⡁⣇⠓⡖⠒⠒⣲⠀⠀⠀⣔⡒⠛⠢⣄⡀⠐⠚⢳⣯⣤⣿⡇⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⢀⠀⠄⠀⠀⠀⠀⠀⢘⠿⠓⠀⠀

⠳⠆⠀⠰⠒⠒⠐⣸⣿⣿⣿⣿⣿⣿⡙⢠⣤⣶⣿⣿⣿⣿⣿⣿⠿⠳⣿⠿⠿⠁⡏⡆⠧⢔⠒⠒⢒⡒⣒⣖⣒⠒⠒⠛⠂⠀⠀⠀⡿⢿⣿⠡⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠠⠤⠼⠤⠄⢐⣤⡀⠀⠀⡲⠃⠀⠀⠀

⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡄⣠⢴⡟⢗⡦⠀⣧⡇⠁⠀⢀⠜⢁⢂⠾⠦⠡⠈⢢⠀⢼⠄⠀⠀⠀⠀⠀⢠⡿⠛⢻⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠁⠀⠀⠀

⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⡇⠉⠋⠉⠼⡶⠤⠦⢶⣐⡟⣿⡇⠀⠘⡍⠹⣩⡿⢯⡉⠉⡹⠀⣮⢂⠀⠀⠀⠀⡀⢨⣿⣿⣷⣻⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⣿⣿⣛⣻⢉⣿⣿⣿⣿⢿⣿⣿⣇⠈⣁⣰⣒⡀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠵⠼⠴⠝⠊⠀⠀⠀⠀⠀⠀⠀⢸⡇⠸⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⣾⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⠇⣹⣿⣶⡀⠀⠀⢀⣀⣁⣈⣻⣿⣛⣿⡏⠉⢿⣏⠉⠉⠁⠀⠀⢀⣎⣵⣤⠘⣿⣿⣿⣿⣿⣿⣿⣷⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣤⣤⣤⣤⣄⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣠⣵⣿⣿⣿⣤⣼⣿⣿⣿⣿⣿⣿⡿⢷⣶⠘⠒⠠⠀⣤⠀⣄⢬⣭⠿⠿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠭⠽⣿⠏⠉⣁⣀⣡⣶⣿⣿⡭⠉⠛⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣶⣶⣶⣾⣶⣶⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⢠⣿⣷⣶⣦⣤⣄⣀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠢⠤⣄⣈⠛⠿⣿⣿⣿⣿⣿⣛⣁⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠶⠀⢀⡈⠙⠛⠿⠿⠿⣿⣿⣶⡦⢄⡀

⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠷⢒⣤⣤⣤⣤⣤⣤⣤⣾⣿⣶⡶⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣀⠉⠓⠶⢤⣴⣲⣾⣿⡿⠛⡛⠿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠈⠉⠀⠀⠀⠀⠛⠛⠉⠛⠉⠛⠉⠉⠉⠉⠉⠉⠉⠙⠻⠶⣦⣦⣤⣤⠄⠀⠈⢁⣀⣨

⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠻

⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣻⣦⠄⠀⠀⠀⣰⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⡆⠀⢤⡤⠄⣤⣤⣄⠀⠀⠀⢠⣤⣤⣤⣶⡄⠄⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⡿⣟⣀⠀⠇⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣯⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠈⠉⠉⠉⠉⠀⠘⣿⣿⣇⠀⢠⣤⣼⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡿⢿⡏⠄⠓⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠀⠀⠘⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠘⣿⡟⠀⢸⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣤⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⡇⣿⣿⠀⣿⣿⣿⡇⢻⣿⡄⣿⣿⠁⠂⢸⣿⣿⢸⣿⡏⢸⣿⣿⠐⣼⡇⠀⢸⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠹⣟⣛⠛⠲⠿⠛⠛⠛⠛⠋⠉⠉⠉⠉⠀⣿⣿⣧⣿⣿⠀⣿⣿⣂⡀⠘⣿⣷⣿⠇⢰⡆⢸⣿⣿⣼⣿⡇⢸⣿⣿⠀⠘⠃⠀⠈⠿⠿⠿⠿⠿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢀⢸⣷⡂⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⣿⣿⠀⣿⣿⡟⢃⡀⢹⣿⡿⢠⣤⡅⢸⣿⣿⢻⣿⡇⢸⣿⣿⢀⣤⣤⣤⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⣀⣀⡴⣏⣘⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⣥⣤⠀⢸⣿⡇⠀⠀⠀⢸⣿⣿⢸⣿⡇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠀⠈⣙⣦⡀

⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠙⣛⣛⣋⣉⣻⣿⣿⣿⣿⠀⠀⠀⠀⠉⠉⠁⠉⠉⠀⠉⠉⠉⠉⠀⠈⠉⠁⠀⠀⠀⠈⠉⠉⢈⡉⠁⠈⠉⠉⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣏⠀⠀⠉⠀⠀

⣤⣤⣤⣤⣤⣤⣄⣀⣀⣀⡀⠀⠒⠒⢒⣒⣒⣒⣒⣀⣀⣀⣀⣀⣠⣤⣤⣤⡀⠀⠀⣀⣀⣈⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠉⠉⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣭⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠁⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠸⣿⣿⣿⣿⣿⣾⣷⣤⣤⣤⣤⣤⣤⡄⠁⠀⠀⠀⠀⠀⣠⣶⣶⣶⣾⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⣤⣴⣿⣿⣿⣿⣿⣿⣿⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠅⠀⠈⠭⠭⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠩⠉⠉⠀⠀⠈⠉⠉⠩⠭⠭⠁⢻⣿⣯⠭⠭⠍⠉⠉⠀⠀⠀

[39A⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠒⠛⠿⠟⠻⠿⠟⠛⠛⠛⠛⠛⠻⠛⠛⢿⣿⠟⠛⠻⠟⠛⠿⠿⠛⠻⢾⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⣿⣿⡇⣿⣿⠀⣿⣿⡿⠿⢻⣿⡆⣿⡿⢨⣿⢸⣿⣿⢸⣿⡟⢸⣿⣿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣭⣽⣿⣿⣿⣿⣿⣿

⣿⣿⣿⡃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣧⣿⣿⠀⣿⣿⣇⡀⠈⣿⣷⣿⠇⣾⣿⢸⣿⣿⣼⣿⡇⢸⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⡛⠻⢻⡇⢛⣛⡿⡿⣿⠿⠿⡿⢿⣿⠛⠻⢻⣿⣿⠿⠿⣿⠿⠿⠿⠀⣿⣿⡟⣿⣿⠀⣿⣿⡟⢓⡄⢹⣿⡟⢸⣿⣿⢸⣿⣿⢻⣿⡇⢸⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠃⠀⢹⡆⢸⣟⠖⠙⠛⠁⠘⠛⢻⣿⣿⠏⡍⣩⡃⠀⡈⠏⠘⠚⠑⠀⣿⣿⡇⣿⣿⠀⣿⣿⣧⣤⠀⢸⣿⡇⠸⠿⠆⢸⣿⣿⢸⣿⣇⢸⣿⣿⠀⠁⢀⣿⠇⣾⣯⡿⣿⡏⢉⠴⡁⠙⣿⣿⠤⠤⣤⣸⣛⣟⣩⣭⣹⠿

⡒⠖⠛⡇⠺⣏⣧⡀⠀⠀⠀⠀⢼⢿⡏⢧⢷⡟⢻⣯⣇⣀⢀⣠⣄⡀⢉⠉⣡⠉⠉⣤⣭⠉⣉⠉⢠⠈⠉⠁⢸⠀⠁⣌⠉⠩⠌⢉⡉⢨⣍⡉⡀⠙⡇⠀⠀⢇⠂⣀⣀⣀⣀⡀⠀⠀⠸⢻⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿

⠃⡤⠤⡇⣴⣿⣿⣿⣷⣞⣾⣦⡀⠜⣿⣿⣿⣿⢾⢟⣟⣿⣿⠛⢛⣿⣾⣾⣿⣧⣾⣬⣼⣞⢻⣿⣾⣤⣀⣀⣸⣾⠤⡇⢀⢨⣃⣽⣶⢜⣿⣍⣇⣴⣿⢄⣀⣿⣶⣿⢶⣆⣤⣄⣯⡁⣦⡀⢿⣿⣿⠿⠿⠿⡿⠿⣿⣿

⣄⠤⠬⡇⣿⣿⣽⣿⣿⣿⣿⣿⣿⠜⠻⠻⢻⣿⣶⠾⢿⡿⣿⢍⣽⣿⣿⡿⣟⠿⣸⣖⣂⣚⣂⣝⣿⣿⣿⣿⣿⣏⣳⡇⠁⠨⠃⣿⣿⣿⣿⣿⣿⠨⣿⣿⣽⣿⡿⣿⣼⣿⣿⣿⣿⣿⣿⣷⣤⣾⣻⣿⣿⣉⣷⣾⣿⡟

⣡⠔⠖⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⡆⠀⠊⠛⡚⠈⠼⢲⣿⣿⣿⣿⣿⡿⠇⣭⣼⡟⢀⠀⢄⠸⣝⢿⣿⣿⣿⣿⣿⢻⠀⠈⡀⣿⡿⡿⠄⠼⡿⢻⣿⢛⣿⠿⠟⢻⡏⡁⠯⠍⢹⡛⡛⠿⠿⣿⣿⣿⣾⣿⣿⣿⣿⣿

⢧⡤⢭⣥⣭⣍⠹⠚⠛⠘⠛⠛⠛⠠⠠⡀⢁⠀⠀⠀⣴⣾⣷⣴⣿⣿⣿⠉⢠⣜⡚⠁⣥⣤⣤⠠⣦⡥⡝⠛⠿⠿⠿⡽⠗⡄⠀⢹⣧⣮⣤⣰⠰⠘⣧⣜⠟⠶⠔⠃⠂⠋⠀⠠⠤⠼⠤⠶⠲⠣⠴⢈⡭⠍⣿⣿⣿⡿

⢖⣭⡀⢸⣿⣿⠰⠤⠤⠤⣄⠀⠐⠀⠀⠈⣉⣀⣠⣾⣿⣿⣿⣿⣿⡿⠿⠿⢐⠗⣷⢀⠑⠌⠑⠂⠈⠐⠈⡐⠄⠀⠀⡇⠀⠀⠀⣟⣿⣿⣿⣿⣼⣿⣿⣿⣆⠀⠀⠀⠀⠉⠒⡇⣿⣿⡟⣍⡿⢉⢻⣿⣿⢸⣿⣿⣿⠋

⣾⣶⡖⣿⡿⢻⠀⠀⠀⠀⠀⠀⠠⢀⣠⣿⣿⣿⣿⣿⡿⣿⢿⣿⣿⠅⢘⣒⠂⠔⣿⣿⠀⠀⡀⠀⠀⢀⡀⢱⡀⠀⠀⡇⠀⠀⣸⣿⣾⣦⣿⣿⣿⣻⣿⣿⣿⣆⠀⠀⠩⠀⠀⠁⣿⣿⣧⣴⣉⣢⣾⣿⡇⢸⣿⣿⣿⣷

⠿⠿⠿⠿⠿⠿⠀⠀⠀⠀⠁⠀⣠⣾⣿⣿⠿⣿⣿⠿⣇⣰⠿⢻⢷⣀⠼⢿⠟⠣⣿⡯⠤⢤⡤⠤⠤⢤⠤⠤⢽⣀⡀⣃⠀⠠⣿⡿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠿⠤⠿⢾⢧⡼⣿⣦⡇⢸⣷⣽⡛⠫

⠁⠁⣀⡀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⢇⣠⢀⢨⣿⣿⣿⣟⠉⢸⣿⣿⣛⣛⡁⣇⠓⡖⠒⠒⣶⠒⠂⠀⣴⡖⠛⠢⣄⡀⠐⠚⢳⣯⣥⣿⡇⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⢠⠀⠄⠀⠀⠀⠀⠀⢘⠿⠓⠀⠀

⠷⠆⠀⠲⠒⠒⠐⣸⣿⣿⣿⣿⣿⣿⡽⢠⣤⣾⣿⣿⣿⣿⣿⣿⠿⠻⣿⠿⠿⠁⡟⡆⠧⢔⠒⠒⢒⡒⣒⣖⣒⠒⠒⠛⠂⠀⠀⠀⡿⢿⣿⠡⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠤⠤⠼⠤⠄⢐⣤⡀⠀⠀⡲⠃⠀⠀⠀

⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡄⣠⣴⡟⢟⡦⠀⣧⡇⠁⠸⢀⠟⢁⢂⠾⠧⠡⠈⢢⠀⢼⠄⠀⠀⠀⠀⠐⢠⣿⣛⢿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠃⠀⠀⠀

⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⡇⠽⠋⠉⠼⡶⠤⠶⢶⣐⡟⣿⣇⠰⠸⡍⠹⣩⡿⢯⡉⠉⡹⠀⣮⢂⡀⠀⠀⠀⡄⢸⣿⣿⣷⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⣿⣿⣿⣻⣯⣿⣿⣿⣿⣿⣿⣿⣗⠈⣁⣰⣖⡄⢀⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠵⠼⠴⠝⠊⠀⠀⠀⠀⠀⠀⠀⢸⡇⠼⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⣾⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⠇⣹⣿⣶⡀⠀⠀⢀⣀⣉⣉⣻⣿⣻⣿⣟⠉⢿⣏⠉⠉⠉⠀⠀⢀⣎⣵⣤⠘⣿⣿⣿⣿⣿⣿⣿⣷⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣤⣤⣤⣤⣤⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣤⣽⣿⣿⣿⣤⣼⣿⣿⣿⣿⣿⣿⡿⢷⣶⡘⠒⠠⠀⣤⠠⣄⢬⣭⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠭⠽⣿⠟⠉⣉⣀⣥⣶⣿⣿⡭⠉⠛⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣶⣶⣷⣾⣶⣾⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⢨⣿⣷⣶⣦⣤⣄⣀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠢⠤⣄⣈⠛⠿⣿⣿⣿⣿⣿⣛⣁⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠶⠀⢀⡈⠙⠻⠿⠿⠿⣿⣿⣶⣦⢄⡀

⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠿⠟⠛⠛⠛⠛⠛⠛⠛⠻⠷⢶⣤⣤⣤⣤⣤⣴⣶⣾⣿⣶⡶⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣁⠉⠓⠶⢤⣴⣲⣾⣿⡿⠟⡛⢿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠐⠛⠛⠛⠛⠛⠛⠉⠉⠉⠉⠉⠉⠉⠛⠻⠶⣶⣦⣤⣤⠄⠀⠈⢁⣀⣨

⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠻

⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣻⣮⠄⠀⠀⠀⣰⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⡆⠀⣤⡤⠤⣤⣦⣄⠀⠀⠀⢠⣤⣤⣤⣶⡄⠄⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⢿⡿⠄⠓⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣾⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠘⣿⡿⠀⢸⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣦⡀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⢻⣿⣿⠾⠇⠀⠘⠿⠛⠷⠷⠖⠀⠀⠺⠿⠿⠾⡷⠀⠀⠿⣼⡇⠀⢸⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠹⣟⣛⠛⠷⠿⠛⠛⠛⠛⠋⠋⠉⠉⠉⠉⠉⠉⠉⠀⠘⢘⣿⣿⡆⢰⣶⣶⣷⠀⢰⣶⡶⣶⣾⣿⡆⢰⡆⠉⠉⠁⠃⠘⠃⠀⠈⠿⠿⠿⠿⠿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢀⢸⣷⡂⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣼⣿⣿⣧⣼⣿⣭⣤⣤⣤⣤⣭⣭⣿⣿⣧⣼⣯⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⢀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⣀⣀⣀⣵⣟⣘⣿⣀⣘⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠀⠈⣙⣦⡀

⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠙⣛⣻⣋⣙⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠒⢒⡒⠐⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣏⠀⠀⠉⠀⠀

⣤⣤⣤⣤⣤⣤⣤⣀⣠⣄⡀⠀⠒⠒⣒⣒⣒⣒⣒⣀⣀⣀⣀⣠⣠⣤⣤⣤⡀⠀⠀⣀⣈⣈⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠉⠉⠁⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⣀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠁⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣤⣤⣤⡄⠁⠀⠀⠀⠀⠀⣠⣶⣶⣶⣾⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡄⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠬⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠅⠀⠈⠭⠭⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠩⠍⠉⠀⠀⠈⠩⠭⠩⠭⠭⠁⢻⣿⣯⠭⠭⠭⠉⠉⠁⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⣿⣿⡇⣿⣿⠀⣿⣿⡿⠿⢻⣿⡆⣿⡿⢠⣿⢸⣿⣿⢸⣿⡏⢸⣿⣿⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣻⣻⣿⣿⣭⣽⣷⣿⣿⣿⣿⣿

⣿⣿⣿⡁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣧⣿⣿⠀⣿⣿⣇⡀⠈⣿⣷⣿⠇⣾⣿⢸⣿⣿⣼⣿⡇⢸⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠛⠻⢻⡇⢛⣛⡿⡿⣿⠿⠿⡿⢿⠛⠛⣿⣿⣿⣿⠿⠿⣿⠟⠻⠿⠀⣿⣿⡟⣿⣿⠀⣿⣿⡟⢓⡄⢹⣿⡟⢸⣿⣿⢸⣿⣿⢻⣿⡇⢸⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠃⠀⢹⡆⢸⣟⠖⠙⠛⠁⠐⠛⢻⣿⣿⠏⡍⣉⡃⠀⡀⠏⠘⠚⠑⠀⣿⣿⡇⣿⣿⠀⣿⣿⣧⣤⠀⢸⣿⡇⠸⠿⠄⢸⣿⣿⢸⣿⣇⢸⣿⣿⠀⠁⢀⣿⠃⣾⣯⡿⣿⡏⢁⠼⠙⠹⣷⣧⠤⠤⣜⣻⣛⣍⣩⣿⣿⠿

⡒⠒⠛⡇⠺⢿⣧⡄⠀⠀⠀⠀⢼⢿⡏⢧⢷⡟⢛⣯⣇⣀⣀⣠⣄⡀⢉⠉⣡⠉⠉⣤⣭⠉⣉⠉⢠⠈⠉⠁⢸⠀⠁⣌⠉⠩⠌⢉⡉⢨⣍⡉⡀⠘⡇⠀⠀⢇⠂⣀⣀⣀⣀⡀⠀⠀⠸⢻⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿

⠃⡤⠤⡇⣰⢿⣿⣿⣛⣿⣾⣦⡐⠜⣿⣿⣿⣿⢞⢟⣟⣿⣷⡛⠛⣿⣿⣾⣿⣧⣾⣬⣼⣞⢻⣿⣾⣤⣀⣀⣸⣾⠤⡇⢀⢠⣃⣽⣶⣾⣿⣍⣇⣴⣿⢄⣀⣿⣶⣿⣶⣖⣦⣄⣯⡅⣦⣀⢿⣿⣿⡿⠿⠿⢿⠿⣿⣿

⣄⠤⠤⡇⢿⣿⣽⣿⣿⣿⣿⣿⣷⠄⠻⠻⢻⣿⣶⠶⢿⡿⣿⢏⣽⣿⣿⡿⣿⠿⣸⣆⣀⠚⣂⣹⣿⣿⣿⣿⣿⡏⣓⢇⠁⠨⠃⣿⣿⣿⣿⣿⣿⡨⣿⣿⣽⣿⡿⣿⣽⣿⣟⣿⣿⣿⣾⣿⣤⣾⣟⣿⣿⣍⣽⣿⡟⠓

⣅⠄⠥⠅⣾⣿⣿⣿⣿⠿⣿⣿⣿⡇⡆⠀⠊⠛⠛⠈⢼⣾⣿⣿⣿⣾⣿⡿⠯⣭⣼⡟⢀⠀⢄⠸⣽⢟⣻⣿⣿⡟⣿⢿⡆⠈⠀⣿⡿⠿⠄⠼⡯⢸⡿⠿⣿⡟⠿⢻⣇⡀⠩⠉⢙⡛⡛⠿⠿⢿⣿⣿⣿⣿⣿⡇⣇⣴

⢭⡤⢭⣥⣭⣍⠹⠛⠛⠚⠛⠙⠛⠠⠠⡀⢁⠀⢠⣤⣼⣧⣠⣿⣿⣿⣿⡁⢠⣜⡚⠁⣥⣤⣤⠠⣦⠥⡝⠛⠿⠷⠾⡹⠟⠄⠀⣹⣧⣤⣤⣴⠀⠘⣧⢄⠟⠳⠔⠃⠂⠊⠁⠸⠭⠼⠤⠶⠲⠠⠤⠈⡭⠍⢛⣿⣿⣿

⢖⣭⡀⢸⣿⣿⠰⠤⠤⠤⣄⠀⠐⠀⠀⠈⠉⣰⣿⣿⣿⣿⣿⣿⣿⣿⠻⠮⢑⠗⣷⢀⠑⠌⠑⠀⠈⠐⠈⡐⠄⠀⠀⡇⠀⠀⢰⣿⢻⣿⣿⣿⣼⣿⣿⣿⡄⠀⠀⠀⠀⠉⠂⡇⣿⣿⡟⣍⡿⢉⢻⣿⣿⠀⣼⣿⣿⣿

⣾⣶⡖⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡭⣘⣒⠂⠔⣿⣿⠀⠀⡀⠀⠀⢀⡀⠱⡀⠀⠀⡃⠀⢀⣾⣿⣾⣶⣽⣿⣻⣿⣿⣿⣷⠀⠀⠀⠩⠀⠀⠁⣿⣿⣧⣴⣉⣢⣾⣿⡇⢸⣿⣿⣿⣿

⠿⠿⠿⠿⠿⠿⠀⠀⠀⠀⠁⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⢱⢀⠿⢿⠟⠣⣿⡯⠤⢤⡤⠤⠤⢠⠤⠤⢽⣀⡀⣃⠀⢼⣿⡟⠻⠟⣿⡏⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠿⠤⠿⠼⠧⡼⣿⣦⡇⠐⣿⣿⠯⠩

⠁⠁⣀⡀⠀⠀⠀⠀⠀⠀⠉⣀⣤⣼⣿⣿⣿⣿⣿⢋⠛⠿⢿⡯⣤⣿⣿⣛⣛⡁⣇⠓⡖⠒⠒⣲⠒⠀⠀⣔⡖⠛⠢⣄⡀⢀⣘⠁⣰⣾⣿⡇⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⢠⠀⠄⠀⠀⠀⠀⠀⠀⢟⣿⠇⠀

⠷⠆⠀⠰⠒⠒⠐⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⠓⠾⠧⣄⡘⠚⠻⢾⣿⠿⠿⠁⡏⡆⠧⢔⠒⠒⢒⡒⣒⣖⣒⠒⠒⠛⠂⠀⠸⣿⣿⣿⣿⠁⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠤⠤⠼⠤⠄⢐⣤⡀⠀⠀⠀⠨⠍⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣍⣢⣴⣾⣿⣦⣤⣠⣴⡟⢗⡦⠀⣧⡇⠁⠰⢀⠝⢁⢂⠾⠧⠡⠈⢢⠀⢼⠄⠀⠋⠉⠙⠋⠰⡿⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣍⠀⠀⠼⡾⠤⠦⢶⣐⡟⣿⣇⠀⠘⡍⠹⣩⡿⢯⡉⠉⡹⠀⣮⢢⡀⠀⠀⠀⠀⢸⣿⣿⡻⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣯⠉⢹⣿⣿⣿⣿⣿⠤⣤⣏⠁⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠵⠼⠴⠝⠊⠀⠀⠀⠀⠀⠀⠀⠀⠁⢸⣿⣿⣷⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀

⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⡿⠠⢿⣿⣦⡿⣉⣓⣠⠄⠈⠁⢀⠀⢀⣀⣁⣉⣻⣿⣻⣿⡏⠉⢟⢉⠉⠉⠉⠀⠀⢀⣴⣴⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣤⣤⣤⣤⣤⣤⣿⣿⡿⠟⢻⣿⣿⣿⢿⠿⠿⠇⠠⢴⣿⣿⣿⣿⣿⣇⣔⣾⡇⢘⠀⣸⣿⣿⣿⣿⣿⣿⠿⢷⣶⠘⠓⠺⠀⣦⣰⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⠉⠉⠫⣭⣤⣤⣤⣶⣾⣿⣿⡯⠉⠙⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣽⣳⣦⣈⠙⠻⠿⠿⠿⠿⣫⣥⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⢀⡠⢶⣶⣦⣤⣄⣀⣀⣲⣾⣿⣿⠛⠛⢛⣿⣷⣄⣀⠀⠀⠀⠀

⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⠶⢶⣶⣶⣶⣶⣶⣶⣶⣶⡿⡿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣋⣠⡄⠉⠉⠛⠛⠛⠛⠛⢉⣉⣀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠈⠉⠉⠀⠀⠈⠉⠈⠉⠉⠛⠛⠓⠚⠯⠼⠟⠛⠉⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠉⠿⠛⠻

⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣤⠄⠀⠀⠀⣰⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⡟⠀⠒⠒⠂⠶⠶⠆⠂⠀⠀⠀⠀⠀⠴⠖⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣟⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⡃⠀⠄⠀⠀⠸⡶⠶⠂⠐⠂⠀⢲⡒⣶⣾⣷⡌⠘⣿⣿⣇⠀⢠⣤⣼⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡿⣿⡟⡀⠓⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠈⠉⠉⠓⢊⡘⣿⡿⠀⢸⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⣄⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⢻⣿⣿⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣟⠀⠀⠀⠀⠀⠀⠈⢁⠘⡇⠀⢸⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠹⢿⠿⠛⠶⡿⠛⠛⠛⠛⠋⠋⠉⠉⠉⠉⠉⠉⠉⠀⠘⠐⠿⣿⠿⠧⠀⠀⠷⢸⣿⠻⠿⠶⠿⠿⠿⣿⡟⠿⡇⠀⠘⠿⡆⠀⠈⠿⠿⠿⠿⠿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢀⢹⣵⡀⢐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣼⣿⣿⣦⣴⣶⣶⣦⣴⣿⣶⣤⣤⣶⣶⣶⣾⣷⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⡀⠀⢀⠴⢟⣘⣿⣀⣘⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠄⠈⣛⣄⠀⠶⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⣛⣻⣋⣙⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠤⠤⠤⠤⠤⠤⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡋⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀

⣀⣀⣀⣀⠀⠀⠀⠀⢀⣀⣀⣀⣒⣒⣒⣒⣒⣒⣒⣀⣀⣀⣀⣤⣠⣤⣤⣤⡀⠀⠀⣈⠈⠙⠋⠉⠀⠁⠀⠄⣿⡇⣄⣤⣤⣤⣤⡄⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠

⣿⣿⣿⣿⣿⠿⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⡏⠀⠈⠁⠹⣿⡿⣿⣿⣿⣿⣿⣷⠹⠇⠈⣛⣉⣉⣭⣻⣿⣿⡇⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⣧⠀⣤⣴⣶⣤⣠⣿⣿⣿⣿⣿⣷⣤⣠⣤⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⣿⣿⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠸⣿⣿⣿⣿⣿⠀⣴⣶⣶⣶⣂⣶⣶⣶⣾⣿⣿⣷⣶⣶⣾⣿⣿⣿⣶⣾⣿⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣄⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣀⣀

⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠍⠉⠁⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠈⠉⠉⠉⠉⠭⠁⢻⣿⣯⠭⠭⠍⠉⠉⠉⠉⠉

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⣿⣿⡇⣿⣿⠀⣿⣿⡿⠿⢻⣿⡆⣿⡿⢨⣿⢸⣿⣿⢸⣿⡟⢸⣿⣿⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣭⣽⣿⣿⣿⣿⣿⣿

⡛⠻⢻⡇⢛⣛⡿⡿⣿⠿⠿⡟⢛⢛⣿⣿⣿⣿⣿⠿⠿⣻⠛⢿⠿⠀⣿⣿⡟⣿⣿⠀⣿⣿⡟⢓⡄⢹⣿⡟⢸⣿⣿⢸⣿⣿⢻⣿⡇⢸⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠃⠀⢹⡆⢸⣟⠖⠙⠛⠁⠘⠛⢻⣿⣿⠏⡍⣩⡃⠀⡈⠟⠘⠚⠑⠀⣿⣿⡇⣿⣿⠀⣿⣿⣧⣤⠀⢸⣿⡇⠸⠿⠆⢸⣿⣿⢸⣿⣇⢸⣿⣿⠀⠁⢀⣿⠇⣾⣯⡿⣿⡏⢉⠽⠙⠱⣧⣧⠤⠼⣟⣻⣌⣍⣿⣿⣿⠭

⡒⠒⠛⡇⠚⢻⣧⡄⠀⠀⠀⠀⢾⢿⡏⢧⠷⣿⢛⣿⣇⣀⣀⣠⡄⡀⢉⠉⢡⡍⠉⣤⣭⠉⢉⠉⢠⠈⠉⠁⢸⠀⠁⣌⠉⠭⠌⢉⡉⢨⣍⡉⡀⠘⡇⠀⠀⣇⢂⣀⣀⣀⣀⡀⠀⠀⠸⢻⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿

⠃⠤⠄⡇⣀⣿⣿⣿⣛⣻⣮⡤⠘⠜⣿⣿⣿⣿⢜⢟⣟⣿⣷⡟⠛⣿⣾⣿⣿⣷⣾⣬⣼⣌⢸⣿⣾⣤⣀⣀⣺⣾⠤⡇⢀⢨⣃⣽⣶⣾⣿⣭⣇⣴⣿⢄⣰⣷⣶⣿⣶⣒⣦⣄⣯⡁⣦⣀⠿⣿⣿⡿⠿⠿⠿⠿⢿⣿

⣄⠤⠤⡇⣿⣿⣽⣿⣿⣿⣿⣿⣆⠔⠻⠻⢻⣿⣶⠾⢿⡿⣿⢏⣿⣿⣿⣿⣿⡿⣼⣆⣀⣘⣂⣽⣿⣿⣿⣿⣿⡏⣳⢇⠁⠨⠃⣿⣿⣿⣿⣿⣿⡨⣿⣿⣽⣿⠿⣿⣽⣿⣾⣿⣿⣿⣾⣿⣤⣾⣿⣿⣿⣯⣽⣿⡿⢿

⣥⠄⠥⠅⣻⣿⣿⣿⣿⣿⣿⢿⣿⠀⡆⠀⠊⠙⡛⠉⠼⣶⣶⣿⣿⣷⣿⡿⡏⣩⣸⡟⢀⠀⢄⠸⣽⢿⣿⣿⣿⠿⣿⣾⡆⠈⡀⢿⣿⠿⢄⢼⡿⢱⡿⠻⣿⡟⠟⢻⡇⡀⡍⠋⢹⡛⡛⠿⠿⢿⣿⣿⣿⣿⣿⡿⣇⣦

⢯⡤⢭⣥⣥⣌⠹⠛⠛⠛⠛⠘⠛⠠⠠⡀⢁⠀⠀⣠⣴⣿⣿⣽⣿⣿⣿⣉⢠⣜⡞⠁⣥⣤⣤⡠⣦⡽⡟⠛⠿⠶⠿⡿⠗⡄⠀⣺⣇⣭⣤⣴⠢⠘⣷⢄⠟⠻⠆⠂⠂⠊⠁⠰⠦⠼⠤⠶⠲⠣⠤⢈⡭⠍⠻⣿⣿⣿

⢖⣭⡀⢸⣿⣿⠰⠤⠤⠤⣄⠀⠐⠀⠀⠈⠉⢀⣼⣿⣿⣿⣿⣿⣿⡿⠿⠦⢑⠗⣷⢀⠑⠌⠑⠂⠈⠐⠈⡐⠄⠀⠀⡇⠀⠀⢀⣿⢻⣿⣿⣿⣼⣿⣿⣮⠄⠀⠀⠀⠀⠉⠒⡇⣿⣿⡟⣍⡿⢉⢻⣿⣿⠀⢰⣿⣿⣿

⣾⣶⡖⣿⡿⢻⠀⠀⠀⠀⠀⠀⠠⠀⠀⢀⣠⣿⣿⣿⣻⣯⣽⣿⣿⡅⢘⣒⠂⠔⣿⣿⠀⠀⡀⠀⠀⢀⡀⢱⡀⠀⠀⡃⠀⠀⣼⣿⣾⣶⣿⣿⣻⣿⣿⣿⣧⠀⠀⠀⠩⠀⠀⠁⣿⣿⣧⣴⣉⣢⣾⣿⡇⢸⣿⣿⣿⣿

⠿⠿⠿⠿⠿⠿⠀⠀⠀⠀⠁⠀⠀⢀⣴⣿⣿⣿⣿⣾⣿⣿⣿⣿⣆⢀⠽⢿⠟⠣⣿⡯⠤⢤⡤⠤⠤⢤⠤⠤⢽⣀⡀⣃⠀⢰⣿⡿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠿⠤⠿⠾⢧⡼⣿⣦⡇⠐⢻⣿⣿⠡

⠁⠁⣀⡀⠀⠀⠀⠀⠀⠀⠉⠀⢀⣼⣿⣿⣿⣿⣿⡏⣾⠉⠛⢾⢫⣿⣿⣛⣛⡁⣇⠓⡖⠒⠒⣲⠒⠂⠀⣴⡖⠛⠢⣄⡀⠀⠈⠃⢛⣽⣿⡇⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⢠⠀⠄⠀⠀⠀⠀⠀⠀⢸⣿⡏⠀

⠷⠆⠀⠲⠒⠒⠔⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⡿⢟⠗⣦⠚⠘⠿⠿⠿⠿⠁⡟⡆⠧⢔⠒⠒⢒⡒⣒⣖⣒⠒⠒⠛⠂⡀⠀⠠⠀⠻⡟⠃⣹⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠤⠤⠼⠤⠄⢐⣤⡀⠀⠀⠀⠘⢯⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣏⠳⣤⣦⣈⡶⣺⣿⡗⢗⣦⠀⣧⡇⠁⠸⢀⠟⢁⢂⠾⠧⠡⠈⢢⠀⢼⢭⣤⠀⠠⠠⠴⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡓⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠦⠼⠾⠬⠶⢶⣰⡟⣿⣇⠀⠘⡍⠹⣩⡿⢯⡉⠉⡹⠀⣮⢂⣤⠀⠀⠀⠀⠸⠛⠛⣻⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠏⠑⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠵⠼⠴⠝⠊⠀⠀⠀⣀⡀⠐⢂⡀⠁⢸⣴⣶⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⢀⣀⣴⣶⣶⣿⣿⣿⣿⣿⠣⠾⣿⣿⣿⣿⣿⣮⠀⠀⠄⠿⣿⣟⣉⠕⠀⠀⢀⠀⢀⣀⣉⣉⣿⣿⣻⣿⡯⡍⣿⣭⣭⣿⣿⣧⣤⣤⣤⣰⡞⠹⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣼⠿⠿⣿⣿⣿⣿⣿⣿⠿⢇⣠⣴⣿⣿⣿⣿⣿⣟⣀⣀⣴⣶⣾⣿⣇⢄⣶⡇⠘⠀⢸⣿⣿⣿⡿⢿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣧⡀⠈⠉⠻⣯⣥⣤⣤⣤⣴⣶⣿⣿⠆⠉⠉⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠉⠉⠉⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣀⠀⠀⠀⠀⠀⡠⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣷⣬⣷⣶⣄⡙⠛⠻⠿⠿⠿⠯⠥⢄⣀⣀⠂⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⢤⣤⠄⠹⣷⣶⣤⣄⣀⣀⠤⣼⣿⣿⣫⠭⠉⣿⣿⣿⣷⣿⣷⣤⣤⣄⣀⣀⠀⠀⠀⠀

⠉⠙⠛⠋⠉⠙⠛⠛⠿⠶⠶⠶⣾⣶⣶⣶⠶⠿⠿⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣅⣀⠈⠉⣛⠛⠛⢋⣉⠁⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠈⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠈⠉⠋⠛⠛⠛⠛⠛⠛⠛⠋⠁⠀⠉⠉⠉⠙⠛⠿⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠉⠿⠛⠻

⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣛⣧⡅⠀⠀⠀⣰⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣶⡖⠀⠰⠖⠀⢶⡖⣶⣶⠀⣲⣶⣦⣄⣒⣲⠄⢦⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣟⣀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⡎⡁⠃⣀⣀⣘⠛⠋⠉⢀⣘⠋⣉⡉⠛⣛⣻⠴⡛⣿⣿⣇⠀⢠⣤⣼⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢿⣿⡄⠒⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⣾⣿⣿⠇⠻⠟⠛⠓⠀⠀⠋⠈⠉⠁⠙⡿⠹⣿⣿⠿⠀⠘⣿⡿⠀⢸⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣦⡀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⢻⣿⣿⠠⡄⠀⠀⠀⠀⠀⠀⠀⠀⣖⣀⠀⠉⠀⠀⠀⠀⢤⢜⡇⠀⢸⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠹⣟⡛⠛⠶⡿⠛⠛⠛⠛⠋⠋⠉⠉⠉⠉⠉⠉⠉⠀⠘⢰⣿⣿⠥⡆⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀⣎⢁⠀⠈⠿⠿⠿⠿⠿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢀⣸⣷⡀⢐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣼⣾⣿⣽⣷⣤⣤⣿⣥⣿⣷⣶⣶⣶⣷⣶⣶⣶⣶⣿⣦⣤⣴⣶⣤⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡤

⠀⠀⠀⠀⠀⠀⡀⢀⣀⣼⢿⣈⣿⣀⣘⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢓⡁⠠⠶⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤

⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⣛⣛⣋⣙⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠁⠀⠀⠠⠬⢭⠽⠔⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠙⣉⣷⣿⣿⠿

⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣒⣒⣒⣒⣒⣒⣒⣀⣀⣀⣀⣤⣤⣤⣤⣤⡀⠀⠀⣀⠒⠀⠀⠀⠀⠀⠀⠀⠸⠇⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡀⠈⠝⠋⠁⠀

⣭⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⡏⢀⠀⠀⢀⣄⡄⡀⠀⠀⠀⠀⠀⠈⣸⠀⠀⠀⠀⠀⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⠁⠀⠀⠀⣀⣤

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠸⣿⣿⣿⣿⡏⠁⠉⠀⢺⠿⠿⢿⣶⣶⣶⣶⣷⣺⣿⣃⣻⣂⣀⡀⠈⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣷⡆⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⡆⠀⠀⢠⣰⣩⡿⠿⠿⠿⠟⠿⠿⠧⠀⠄⢴⣶⣶⣶⣶⣾⣿⠀⠀⢀⣶⣶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠈⠑⠢⢀⣀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣿⣿⣿⣿⣿⡄⣼⣿⣽⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⡷⣦⣤⣀⣀⣀⠀⠀⠀⢸⣿⣿

⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠉⠉⠁⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠈⠉⠉⠉⠉⠉⠁⢻⣿⣯⠭⠭⠉⠉⠉⠉⠉⠉

[39A⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣻⣻⣿⣿⣭⣽⣷⣿⣿⣿⣿⣿

⠛⠻⢻⡃⢛⣛⡿⡿⣿⠿⠿⠛⢻⣿⣿⣿⣿⣿⣿⠿⠛⣻⠿⣿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠃⠀⢹⡆⢸⣟⠖⠙⠛⠀⠐⠛⢻⣿⣿⠏⡍⣉⡃⠀⡈⠏⠈⠚⠑⠋⠘⠃⠀⠍⣁⣿⣿⠩⠥⠧⠸⠰⠷⠂⠿⠿⠾⡿⠗⠀⠗⠋⢹⣿⡟⠛⡏⠁⢀⣿⠃⣾⣯⡾⣿⡏⢉⠽⠑⠰⣦⣧⠜⠽⣇⣨⣘⣟⣿⣯⣹⠩

⡒⠒⠓⡇⠚⠈⠀⢀⠀⠀⠀⠀⢼⢿⡏⢧⠷⣿⡛⣻⣧⣀⣀⢠⡄⠀⣶⣶⢰⣶⣶⠩⣶⣶⣶⡆⣶⣶⠀⣶⣶⠀⠁⢰⣶⡆⣴⣶⡆⢱⣶⡆⠀⠘⡇⠀⠀⢇⠀⣀⣀⣀⣀⡀⠀⠀⠸⢻⣯⣾⣾⣿⣿⣿⣿⣿⣿⣿

⠃⠤⠤⡇⣄⢰⣶⣾⣟⣿⣾⣤⠐⠜⣿⣿⣿⣿⢘⢟⣟⣿⣷⡟⠓⠀⣿⣿⢸⣿⣿⠀⣿⣿⠉⠁⢹⣿⣼⣿⠇⣤⠀⢸⣿⡇⣿⣿⡇⢸⣿⡇⠀⣴⣿⢄⣀⣾⣶⣿⣶⣒⢠⣆⣯⡁⣢⡀⠿⣿⣿⡿⠿⠿⠿⣿⣿⣿

⣄⠤⠤⡇⣿⣿⣽⣿⣿⣿⣿⣿⣇⠄⠻⠻⢻⣿⣴⠾⢿⣿⣿⢏⣿⠀⣿⣿⢿⣿⣿⠀⣿⣿⣿⡇⠈⣿⣿⡿⢰⢏⡀⢸⣿⣿⣿⣿⡇⢸⣿⡇⢠⡨⣽⣿⣿⣿⢿⣿⣼⣿⣾⣿⣿⣿⣾⣷⣄⣼⣽⣿⣿⣻⣶⣿⣿⣿

⣦⠄⠤⠇⣿⣿⣿⣿⣟⣻⣿⣿⣿⠀⡆⠀⠊⠙⠚⠈⠼⢒⣶⣾⣿⠀⣿⣿⢸⣿⣿⠀⣿⣿⣀⡀⠀⢸⣿⡇⣿⠿⡇⢸⣿⡇⣿⣿⡇⢸⣿⡇⠈⢳⡿⠿⣿⡟⠟⢻⡇⡀⡉⠉⢙⡛⡛⠿⠿⢿⣿⣿⣿⣿⣿⡿⣏⣠

⢭⡤⢭⣥⣭⣍⠹⠛⠛⠛⠛⠘⠛⠠⠠⡀⢁⠀⣤⣶⣶⣿⣿⣿⣿⡠⠿⠿⠸⠿⠿⠠⠿⠿⠿⠧⠀⠸⠿⠇⠹⠶⠇⠸⠿⠇⠿⠿⠇⠸⠿⠇⠀⠸⣷⢌⠏⠻⠒⠊⠀⠛⠂⠠⠤⠼⠤⠔⠒⠢⠤⠈⠭⠍⠛⣻⣿⣿

⢆⣭⡀⢸⣿⣿⠠⠤⠤⠤⣄⠀⠐⠀⠀⠈⠉⣼⣿⣿⣿⣿⣟⣿⣿⡟⠿⠦⣐⠖⣶⢀⠐⠄⠀⠀⠀⠐⠈⡐⠄⠀⠀⡆⠀⠀⢰⡧⢿⣿⣿⣿⣼⣿⣿⣿⡄⠀⠀⠀⠀⠉⠂⡇⣿⣿⡟⡍⡿⢉⢻⣿⡿⠀⢀⣿⣿⣿

⣾⣶⡖⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⣿⣟⠉⣽⣿⣿⣿⣿⡅⠘⣒⠂⠔⣿⣿⠀⠀⡀⠀⠀⢀⠀⠑⡀⠀⠀⡃⠀⢀⣿⣷⣾⣶⣿⡿⣟⣿⣿⣿⣿⡄⠀⠀⠩⠀⠀⠁⣿⣿⣧⣴⣉⣢⣾⣿⡇⢸⣿⣿⣿⣿

⠿⠿⠿⠿⠿⠿⠀⠀⠀⠀⠁⠀⢠⣶⣿⣿⣿⣿⣷⣾⣿⠿⢿⣿⡛⣧⠿⢿⠟⠣⣿⡯⠤⢤⡤⠤⠄⠠⠤⠤⢽⣀⡀⣁⠀⢼⣿⡟⣿⣿⣿⡇⣿⣾⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠿⠤⠿⠼⠧⡼⣿⣦⡇⠐⠻⣿⣿⠫

⠁⠁⣀⡀⠀⠀⠀⠀⠀⠀⠉⠀⣿⣿⣿⣿⣿⣿⣿⣿⣇⣺⣄⡀⢩⣿⣿⣛⣛⡁⣇⠓⡖⠒⠒⣲⠀⠀⠀⣔⡖⠛⠢⣄⡀⠀⠋⠃⢛⢽⣿⡇⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⢠⠀⠄⠀⠀⠀⠀⠀⠀⠀⣿⡿⠀

⠳⠆⠀⠰⠒⠒⠐⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⡿⣏⣃⣡⣾⠸⠿⠿⠿⠿⠁⡏⡆⠧⢔⠒⠒⢒⡒⣒⣖⣒⠒⠒⠛⠂⡀⠀⠠⠀⠘⢿⠃⣿⣿⣿⣿⣿⣿⣿⡗⠀⠀⠀⠤⠤⠼⠤⠄⢐⣤⡀⠀⠀⠀⠀⠸⡆⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣿⣿⣿⣷⣶⡖⢗⣦⠀⣧⡇⠁⠠⢀⠜⢁⢂⠾⠦⠡⠈⢢⠀⢼⢭⣤⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣌⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠬⠶⢶⣐⡟⣿⡇⠀⠘⡍⠹⣩⡿⢯⡉⠉⡹⠀⣮⢂⣤⠀⠀⠀⠀⢸⣩⠿⠿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣀⣤⣤⣀⡠⢤⡄⠀⣿⣿⣿⣿⣦⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠵⢼⠴⠝⠊⠀⠀⠀⠀⠀⠀⢀⠐⡁⢸⣢⣤⣼⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀

⣿⣿⣿⣿⠿⢿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠈⠀⠀⠀⢀⠀⠁⠙⠛⣿⣿⣿⣿⣩⣿⣭⣉⠉⠁⠀⠀⠀⠂⣰⡾⠸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⠿⠇⠤⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⠀⢠⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣾⣿⣑⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣀⣀⣤⣴⣿⣿⠃⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠋⠉⠉⠛⠿⠿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣄⣀⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀

⠿⠿⠟⠛⠫⠗⠒⣀⣠⣀⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢀⣀⡀⠘⣿⣶⣦⣤⣄⣀⣐⣲⣿⠿⠥⠄⠀⣘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣶⣤⣤⣄⣀⣀⠀⠀⠀⠀

⠤⠶⠶⠶⠿⠿⠿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣦⣭⣥⣁⣀⠀⠉⠉⣉⣉⣉⣡⣄⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠛⠛⠛⠛⠛⠉⠉⠀⠀⠀⠉⠉⠉⠉⠙⠛⠙⠙⠛⠛⠛⠛⠿⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠉⠿⠛⠻

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⠷⣄⠀⠀⣰⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣧⢄⡀⡐⠀⠀⣶⣖⣶⣶⠀⣶⣶⣦⣄⣒⣲⠄⢦⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⡶⠁⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⡗⡂⣁⣀⣒⠘⠋⠃⠀⠀⣘⠛⣛⡘⠛⣛⣻⠴⡛⣿⣿⣇⠀⢠⣤⣼⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠿⣷⡌⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⣾⣿⣿⠇⠻⠟⠛⠛⠟⠛⠛⠀⠉⠁⠙⡿⠹⣿⣿⠿⠀⠘⣿⡟⠀⢸⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣧⣼⡇⠉⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⢻⣿⣿⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⣖⣀⠀⠉⠀⠀⠀⠀⢤⢜⡇⠀⢸⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠍⠁⠿⠃⠀⠿⠛⠛⠛⠛⠋⠋⠉⠉⠉⠉⠉⠉⠉⠀⠘⢠⣿⣿⠥⡆⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀⣌⢁⠀⠈⠿⠿⠿⠿⠿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠀⡀⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣼⣾⣿⣴⣷⣤⣤⣿⣥⣿⣶⣶⣶⣶⣷⣶⣶⣶⣶⣾⣦⣤⣴⣶⣤⣤⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠤⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣀⣸⣟⣁⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣄⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⣛⣻⣋⣙⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⢈⠉⠉⠀⠀⠀⠀⠀⢺⡇⠀⠀⠀⠀⠀⠀⢺⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢋⣩⣾⣿⡿⠿⠛⠉⠁⠀⠀⠀

⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣐⣒⣒⣒⣒⣒⣒⣀⣀⣀⣀⣠⣤⣤⣤⣤⡀⠀⠀⡀⠒⠀⠀⠀⠀⠀⠀⠀⠸⠇⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠩⠛⠉⠀⠀⠀⠀⢀⣀⣀⣀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢠⣿⣿⣿⣿⡏⠉⠉⠁⢀⣄⡄⡀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣾⡋⠀⠀⠀⢀⣠⣤⣶⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠘⣿⣿⣿⣿⡇⠀⠀⠀⢺⠿⠿⢷⣷⣶⣶⣶⣦⣠⣿⣂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣳⡂⠀⠀⠀⠀⣘⣛⣾⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣆⠀⠀⢀⣐⣩⡿⠿⠿⠿⠟⠿⠿⠧⠀⠄⠀⣤⣤⣀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠈⠑⠢⢀⣀⠀⠀⠀⠀⠉⠍⠋⢿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣿⣿⣿⣿⣿⣀⣈⣽⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣷⣄⣜⣿⣿⣿⣿⣿⣿⠀⠀⢠⣤⣀⣀⠀⠀⠀⣀⣸⣿⣿⣿⣿⣶⣶⣶⣤⣼

⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠉⠉⠉⠁⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠈⠉⠉⠉⠉⠉⠁⢻⣿⣯⠭⠉⠉⠉⠉⠉⠉⠉

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣻⣻⣿⣿⣭⣽⣷⣿⣿⣿⣿⣿

⠛⠻⢻⡃⢛⣛⡿⡿⣿⠿⠿⠿⢿⣿⣿⣿⣿⣿⡟⠛⠟⣿⠿⢿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠃⠀⢹⡆⢸⣟⠖⠙⠛⠀⠘⠛⢻⣿⣿⠏⡍⣉⡃⠀⡀⠇⠈⠚⠑⠋⠘⠃⠀⠍⢁⣿⣿⠩⠥⠧⠸⠰⠷⠂⠿⠿⠾⡿⠗⠀⠗⠋⢹⣿⡟⠛⡏⠁⢀⣿⠃⣾⣦⡶⣿⡏⢉⠬⠁⠡⣦⣆⠟⠤⣀⣸⣛⣟⣯⣭⣹⠿

⡒⠒⠓⡇⠺⣯⣥⡄⠀⠀⠀⠀⢼⢿⡏⠦⠷⣿⡛⢿⣧⣀⣀⢠⡄⠀⣶⣶⢰⣶⣶⠩⣶⣶⣶⡆⣶⣶⠀⣶⣶⠀⠁⢰⣶⡆⣴⣶⡆⢱⣶⡆⠀⠈⡇⠀⠀⢇⢀⣀⣀⣀⣀⡀⠀⠀⠸⢻⣯⣾⣾⣿⣿⣿⣿⣿⣿⣿

⠃⠤⢤⡇⢴⣿⣿⣿⣿⣮⣾⣤⠐⠜⢿⣿⣿⣿⢀⢛⣿⣿⣷⡟⠓⠀⣿⣿⢸⣿⣿⠀⣿⣿⠉⠁⢹⣿⣼⣿⠇⣤⠀⢸⣿⡇⣿⣿⡇⢸⣿⡇⠀⣴⣿⢄⣀⣾⣶⣷⣶⡂⢠⣦⣯⡁⣠⡀⠿⣿⣿⡿⠿⠿⠿⣿⣿⢿

⣄⠤⠼⡇⣿⣯⣽⣿⣿⣿⣿⣿⣇⠄⠻⠻⢻⣿⣰⠾⢿⣿⣿⢯⣵⠀⣿⣿⢿⣿⣿⠀⣿⣿⣿⡇⠀⣿⣿⡿⢰⢏⡀⢸⣿⣿⣿⣿⡇⢸⣿⡇⢠⢬⣽⣿⣿⣿⡿⣿⣼⣿⣾⣿⣿⣿⣿⣷⡄⣾⣿⣿⠆⢟⣷⣿⣿⣿

⣤⠄⠤⡅⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡆⠀⠊⠙⠊⠈⡼⢲⣶⣾⣿⠀⣿⣿⢸⣿⣿⠀⣿⣿⣀⡀⠀⢸⣿⡇⣾⣿⡇⢸⣿⡇⣿⣿⡇⢸⣿⡇⠈⢸⡿⠛⣿⠟⠿⢻⡇⠀⡉⠉⢙⡛⡛⠿⠿⢿⣿⣿⣷⣿⣿⡿⣿⣿

⢭⡤⢥⣥⣭⣍⠹⠛⠛⠛⠛⠛⠛⠠⠠⡀⢁⠀⣴⣾⣷⣿⣿⣿⣿⡠⠿⠿⠸⠿⠿⠠⠿⠿⠿⠧⠀⠸⠿⠇⠹⠿⠇⠸⠿⠇⠿⠿⠇⠸⠿⠇⠀⠘⣧⣄⠟⠳⠔⠋⠀⠓⠂⠨⠥⠼⠤⠀⠰⠠⠤⠈⠭⠍⠛⣿⣿⣿

⢆⣭⡀⢸⣿⣿⠠⠤⠤⠤⡄⠀⠐⠀⠀⠈⠉⣸⣿⣿⣿⣿⣻⣿⣿⡟⠽⡏⢁⠒⣶⢀⠀⠄⠀⠀⠀⠐⠈⡐⠄⠀⠀⡆⠀⠀⢰⡗⠛⠻⣷⣿⣼⣿⣿⣯⡀⠀⠀⠀⠀⠉⠂⡇⣿⣿⡟⡍⡿⢉⢻⣿⡿⠀⢰⣿⣿⣿

⣾⣶⡖⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⡅⠘⣒⠂⠔⣿⣿⠀⠀⡀⠀⠀⢀⠀⠑⡀⠀⠀⡂⠀⢀⣿⣷⣾⣿⣿⡿⡿⣿⣿⣿⣷⡀⠀⠀⠩⠀⠀⠁⣿⣿⣧⣴⣉⣢⣾⣿⡇⢸⣿⡿⣿⣿

⠿⠿⠿⠿⠿⠿⠀⠀⠀⠀⠁⠀⠀⣠⣾⣿⣿⣿⣿⣻⣿⣿⣿⡿⠇⢀⠿⢿⠟⠣⡿⡯⠤⢤⡤⠤⠄⠠⠤⠤⢽⣀⡀⣁⠀⢼⣿⡟⣿⣿⣿⡇⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠿⠤⠿⠼⠧⠼⢿⣦⡇⠐⢻⣿⣿⠫

⠁⠁⣀⡀⠀⠀⠀⠀⠀⠀⠉⠀⣠⣿⣿⣿⣿⣿⣿⡟⠋⣩⣿⠇⢰⣾⣿⣙⣛⡁⣇⠓⡖⠒⠒⣲⠀⠀⠀⣔⡖⠛⠢⣄⠀⠂⠛⢿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢀⠀⠄⠀⠀⠀⠀⠀⠀⠈⣿⣍⠀

⠳⠆⠀⠰⠒⠒⠐⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣋⣶⣾⣿⣿⣿⣼⡿⠿⠿⠿⠁⡏⡆⠧⢔⠒⠒⢒⡒⣒⣖⣒⠒⠒⠛⠂⠀⠀⠀⠉⢸⣉⣅⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠤⠤⠼⠤⠄⢐⡤⡀⠀⠀⠀⠀⠿⡇⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⠗⠗⡢⠀⣧⡇⠁⠠⢀⠜⢁⢂⠾⠦⠡⠈⢢⠀⢼⢭⣤⡀⠀⢐⡛⢸⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠄⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢶⣼⡷⠤⠤⢀⣀⡟⣿⡇⠀⠘⡍⠹⣩⡿⢯⡉⠉⡹⠀⣮⢂⣤⠀⠀⠀⠐⢘⡿⠿⢿⣻⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀

⣀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡿⣿⣿⣿⡟⠻⡗⠒⠸⡧⢀⣀⣀⠀⠀⠀⢀⣀⡀⠀⠈⠒⠵⠼⠴⠝⠊⠀⠀⠀⠀⠀⠀⢀⠈⡃⣒⣠⣠⣾⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣷⣶⣤⡀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣦⡠⣿⣿⣿⣧⠀⢄⣿⣿⣿⣛⣋⠉⠀⢀⣠⣿⣿⣯⣭⣿⣿⣭⣿⣛⡉⢿⣍⡉⠉⠁⠀⠀⠀⠀⣰⡏⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣧⣤⣤⣤⣄⣿⣿⣿⣿⣿⣿⣷⣮⣻⣿⣃⣐⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣤⣦⣰⣴⢶⣾⡿⡷⣾⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠈⠉⢉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠉⢉⣁⣀⠙⠛⠻⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣿⣿⣿⣧⣤⣤⣤⣄⣀⣀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀

⠤⠄⣁⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣀⣀⣤⠌⠻⣿⣿⣷⣶⣦⣤⣬⣿⠿⠛⠁⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣶⣤⣤⣄⣀⣀⠀⠀⠀⠀

⠿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠿⠿⠛⠟⠛⠛⠛⠛⠛⣛⣟⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⣯⣥⣤⣌⣀⣀⣈⣭⣭⣭⣥⣴⣶⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠙⠙⠛⠛⠙⠙⠛⠛⠛⠛⠿⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠉⠿⠛⠻

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⠟⠛⠆⣰⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢰⣦⣲⠀⠀⣰⣦⡶⣶⠶⢂⠀⣶⣶⣦⣀⣒⣲⠄⢦⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⢧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⡗⠂⣛⠉⠉⠉⣀⡀⠒⠀⣘⠒⠒⠙⠛⣛⣻⠴⡛⣿⣿⣇⠀⢠⣤⣼⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡿⢶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⣾⣿⣿⠇⠻⠿⠿⠿⠿⠛⠛⠀⠉⠁⠙⡿⠹⣿⣿⠿⠀⠘⣿⡟⠀⢸⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⢻⣿⣿⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⣖⣀⠈⠉⠀⠀⠀⠀⢤⣜⡇⠀⢸⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⡁⣾⣿⠿⠛⠛⠛⠛⠋⠋⠉⠉⠉⠉⠉⠉⠉⠀⠘⢸⣻⣿⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀⣯⢁⠀⠈⠿⠿⠿⠿⠿⢿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⣿⣿⠍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣬⣭⣽⣴⣷⣤⣤⣿⣥⣿⣶⣶⣶⣶⣷⣶⣶⣶⣶⣿⣦⣤⣴⣶⣤⣤⣤⣤⣤⣀⠀⠀⠀⣠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣿⣿⣇⣀⣇⣠⣄⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⣛⣻⣋⣙⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠁⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⢲⡇⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣿⡿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣐⣒⣒⣒⣒⣒⣒⣀⣀⣀⣀⣠⣤⣤⣤⣤⡀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠸⠇⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠹⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢠⣿⣿⣿⣿⡉⠀⠈⠁⠀⣄⡄⠀⠀⠀⠀⠀⠀⠀⣘⠀⠀⠀⠀⠀⠀⠀⢾⠃⠀⠀⠀⠀⣂⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠘⣿⣿⣿⣿⡁⠀⠀⠀⢺⠿⠿⢴⣶⣶⣶⣶⣦⣠⣿⣀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⢀⣛⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣆⠀⠀⠀⠀⣩⡿⠿⠿⠿⠟⠿⠿⠧⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠈⠉⠉⢹⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣿⣿⣿⣿⣿⣀⣈⣻⣿⣿⣷⣾⣿⣷⣿⣿⣿⣏⡀⡀⣀⣤⣄⣀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⡶⣶⣶⣤⣼⣿⣿⣿⣿⣿⣿⣿

⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠉⠉⠉⠁⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠈⠉⠉⠩⠩⠁⢻⣿⣯⠭⠍⠉⠉⠉⠉⠉⠉

⠛⠻⢻⡃⢛⣛⡿⡿⣿⠿⠿⡿⢿⣿⣿⣿⣿⡟⡟⠻⠿⣿⠿⢿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠃⠀⢹⡆⢸⣟⠖⠙⠛⠁⠐⠛⢻⣿⣿⠏⡍⣉⡃⠀⡀⠏⠈⠚⠑⠋⠘⠃⠀⠍⢁⣿⣿⠩⠥⠯⠸⠰⠷⠂⠿⠿⠾⡿⠗⠀⠗⠋⢹⣿⡏⠛⡏⠁⢀⣿⠃⣶⣦⡿⣿⡏⢁⠼⠉⠙⣄⣏⠄⠠⣙⣻⣛⣍⣭⣽⣿⠿

⡒⠒⠛⡇⠺⣏⣧⡄⠀⠀⠀⠀⢼⢿⡏⠦⠷⣻⡛⠻⣧⣀⣀⢠⡄⠀⣶⣶⢰⣶⣶⠩⣶⣶⣶⡆⣶⣶⠀⣶⣶⠀⠁⢰⣶⡆⣴⣶⡆⢱⣶⡆⠀⠈⡇⠀⠀⢇⠀⣀⣀⣀⣀⠀⠀⠀⠸⢻⣯⣾⣾⣿⣿⣿⣿⣿⣿⣿

⠃⡤⣄⡇⢴⢿⣿⣿⣷⣾⣾⣤⡐⠜⣷⣿⣿⣿⢏⢛⣿⣿⣾⣟⠛⠀⣿⣿⢸⣿⣿⠀⣿⣿⠉⠁⢹⣿⣼⣿⠇⡀⠀⢸⣿⡇⣿⣿⡇⢸⣿⡇⢀⣼⣽⢆⣀⢿⣶⣷⣶⣂⢠⣆⣿⡁⣠⡀⣿⣿⣿⣿⠿⠿⠿⢿⣿⣿

⣄⠤⠿⡇⣿⣏⠉⣹⣿⣿⣿⣿⣷⡄⠻⠻⢻⣿⣶⠾⢿⣿⣿⡿⣵⠀⣿⣿⢿⣿⣿⠀⣿⣿⣿⡇⡈⣿⣿⡿⢰⢀⡀⢸⣿⣿⣿⣿⡇⢸⣿⡇⢠⠭⣽⣿⣿⣿⡿⢿⣼⣿⣮⣿⣿⣿⣿⣷⣿⣿⣏⠻⠆⠰⠿⣿⣿⣿

⣤⠄⠤⡅⣿⣿⡖⢿⣿⢻⣿⣿⣿⠆⡆⠀⠂⠙⠛⠈⡼⣳⣶⣿⣿⠀⣿⣿⢸⣿⣿⠀⣿⣿⣀⡀⠁⢸⣿⡇⣾⣿⡇⢸⣿⡇⣿⣿⡇⢸⣿⡇⠈⢹⡿⠛⣻⡿⠿⣛⣇⠀⡉⠉⢙⡛⡛⠿⠿⢿⣿⣾⣷⣾⣿⣿⣿⣿

⢭⡥⢥⣤⣭⣍⠱⠐⠛⠀⠛⠛⠛⠠⠠⡀⢁⠀⢀⣴⣷⣿⣿⣿⣿⡠⠿⠿⠸⠿⠿⠠⠿⠿⠿⠧⠀⠸⠿⠇⠹⠿⠇⠸⠿⠇⠿⠿⠇⠸⠿⠇⠀⠘⣧⢄⠟⠛⠆⠛⠀⠓⠂⠨⠥⠼⠤⠀⠀⠢⠤⠈⡭⠍⢻⣿⣿⡿

⢆⣭⡀⢸⣿⣿⠠⠤⠤⠤⡄⠀⠐⠀⠀⠈⢉⣤⣾⣿⣿⣿⣿⣿⣿⣷⠛⠂⣀⠒⣶⢀⠐⠄⠀⠀⠀⠐⠈⡐⠄⠀⠀⡆⠀⠀⢰⡿⠿⣿⣿⣿⣼⣿⣿⡮⠄⠀⠀⠀⠀⠉⠂⡇⣿⣿⡟⣍⡿⢉⢻⣿⡿⠀⢸⣿⣿⣿

⣾⣶⡖⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣧⢈⣿⡏⠛⢋⣒⠂⠔⣿⣿⠀⠀⡀⠀⠀⢀⠀⠑⡀⠀⠀⡆⠀⢀⣿⣷⣶⣿⣿⡿⣿⣟⣿⣷⡀⠀⠀⠀⠩⠀⠀⠁⣿⣿⣧⣴⣉⣢⣾⣿⡇⢸⣿⣿⣿⣿

⠿⠿⠿⠿⠿⠿⠀⠀⠀⠀⠁⠀⣀⣤⣶⣿⣧⣾⡿⠿⢿⣿⣿⡛⠃⠠⠽⠿⠟⠣⣿⡯⠤⢤⡤⠤⠄⠠⠤⠤⢽⣀⡀⣁⠀⢼⣿⡿⣿⣿⣿⡇⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠿⠤⠿⠼⠧⠼⢿⣦⡇⠐⣿⣷⡍⠻

⠁⠁⣀⡀⠀⠀⠀⠀⠀⠀⣩⣿⣿⣿⣿⣿⣿⠯⢠⣦⣿⣿⣿⣿⣤⣿⣿⣛⣛⡁⣇⠓⡖⠒⠒⣲⠀⠀⠀⣔⡖⠛⠢⣄⡀⠀⡋⣷⣿⣿⣿⡇⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⢠⠀⠄⠀⠀⠀⠀⠀⠀⠙⢟⠂⠀

⠳⠆⠀⠰⠒⠒⠐⠀⠀⢠⣿⣿⣿⣿⣿⣿⣭⣿⣿⣿⣿⡟⡛⡿⠛⠻⠿⠿⠿⠁⡏⡆⠧⢔⠒⠒⢒⡒⣒⣖⣒⠒⠒⠛⠆⠀⠀⠙⠙⠛⢁⢇⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠤⠤⠼⠤⠄⢐⣤⡀⠀⠀⠀⠀⠁⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠀⠤⣠⣢⡖⢕⡢⠀⣧⡇⠁⠠⢀⠜⢁⢂⠾⠦⠡⠈⢢⠀⢔⢤⣤⠀⠐⠒⠙⢸⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣊⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⣤⠼⠶⠬⢦⢶⣀⡟⣿⡇⠀⠘⡍⠹⣩⡿⢯⡉⠉⡹⠀⣮⢂⣤⠀⢀⢀⡀⢸⣿⣿⠿⣻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⠆⠀⠟⣿⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠵⠼⠴⠝⠊⠀⠀⠀⠀⠀⠀⠁⠈⡇⠘⠉⢡⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⠻⠃⢀⣸⣿⣾⣿⣿⠤⣶⣶⣤⣄⠀⠉⠝⠉⠉⠙⢏⣙⡉⢩⣍⡉⠉⠁⠀⠀⠀⠀⣰⢾⣶⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣤⣤⣤⣤⣤⣤⣄⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣀⣀⣾⣿⣿⣿⣿⣿⣧⡈⢿⣿⣿⣿⣿⣿⣿⣽⣿⣉⣙⣛⠈⠛⠛⠀⣦⠰⣴⢶⣶⡿⣄⣻⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⠀⠀⣶⣤⡀⠙⠛⠿⠿⠿⠿⣿⣿⡿⠿⠿⣿⣿⣿⣿⣷⣶⣶⣿⣾⣶⣷⣿⣿⣿⣿⣿⣧⣤⣤⣤⣄⣀⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡐⠶⡶⢀⡘⠿⢿⣿⣶⣦⣤⣤⡿⠿⠉⠛⠉⢀⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣶⣤⣤⣄⣀⣀⠀⠀⠀⠀

⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠿⠿⠛⠛⠛⠛⠛⠛⠛⣛⣿⣿⠿⠿⠶⣶⣶⣤⣤⣀⣀⣠⣭⣤⣤⣶⠦⠀⢐⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠉⠛⠋⠙⠙⠛⠛⠛⠛⠿⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠉⠻⠛⠻

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⠋⣙⠳⠀⣰⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢰⣶⡖⠀⣤⣴⣶⣒⠖⠀⠰⠀⣶⣶⣦⣀⣒⣲⠄⢦⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣯⣿⠿⠋⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⡟⠃⣋⣀⣀⣐⣛⡛⠛⠀⣘⡛⡛⠘⠛⣛⣻⠴⡛⣿⣿⣇⠀⢠⣤⣼⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣟⣺⠶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⣾⣿⣿⠇⠻⠿⠛⠻⠿⠛⠋⠀⠉⠁⠙⡿⠹⣿⣿⠿⠀⠘⣿⡟⠀⢸⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡃⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⢻⣿⣿⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⣖⣀⠈⠉⠀⠀⠀⠀⢤⣜⡇⠀⢸⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣭⣿⠃⠿⠛⠛⠛⠛⠋⠋⠉⠉⠉⠉⠉⠉⠉⠀⠘⠸⠿⢿⠤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀⣯⢁⠀⠈⠿⠿⠿⠿⠿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣷⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣼⣿⣿⣴⣷⣤⣤⣿⣥⣿⣶⣶⣶⣶⣷⣶⣶⣶⣶⣿⣦⣤⣴⣶⣤⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣿⣇⣸⣀⣀⣠⣄⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠙⣛⣻⣋⣙⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠰⢀⠀⠐⠀⠀⠀⠀⢾⡇⠀⠀⠀⠀⠀⠀⢺⡇⠀⠀⠀⠀⠀⣰⣾⡿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣐⣐⣒⣒⣒⣒⣒⣀⣀⣀⣀⣀⣠⣤⣤⣤⣤⡀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠹⠇⠀⠀⠀⠀⠀⠀⢸⢿⠀⠀⠀⠀⠸⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢠⣿⣿⣿⣿⡀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠂⣀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠘⣿⣿⣿⣿⡀⠀⠀⠀⢺⠿⠿⢴⣶⣶⣶⣦⣤⣠⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⡆⠀⠀⠀⠀⢩⠿⠿⠿⠿⠛⠿⠿⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠽⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣷⠀⢀⣿⣷⣗⡂⢀⣲⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣶⣶⠀⠀⢠⣤⣤⣤⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠉⠉⠉⠁⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⠓⠂⠀⠀⠀⠀⠀⠀⠛⠉⠉⠀⠀⠈⠉⠉⠉⠉⠉⠁⢻⣿⣯⠭⠍⠉⠉⠉⠉⠉⠉

⠛⠻⢻⡃⢛⣛⡿⡿⣿⠿⠿⡿⢿⣿⣿⣿⠛⠛⢿⠿⠿⣿⠿⣿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠃⠀⢹⡆⢸⣟⠖⠙⠛⠀⠐⠛⢻⣿⣿⠏⡍⣉⡃⠀⡀⠏⠈⠚⠑⠋⠘⠃⠀⠍⢁⣿⣿⠩⠥⠧⠸⠰⠷⠂⠿⠿⠾⡿⠗⠀⠗⠋⢹⣿⡟⠛⡏⠁⢀⣷⠂⣾⣯⡿⣿⡏⢉⠽⠉⠙⡏⡇⠄⠿⣟⣻⣈⣭⣽⣿⣿⠿

⡒⠒⠓⡇⠺⣯⣧⡄⠀⠀⠀⠀⢼⢿⡏⠦⠷⣻⡟⠛⣧⣀⡀⢠⡄⠀⣶⣶⢰⣶⣶⠩⣶⣶⣶⡆⣶⣶⠀⣶⣶⠀⠁⢰⣶⡆⣴⣶⡆⢱⣶⡆⠀⠈⡇⠀⠀⣇⠀⣀⣀⣀⣀⠀⠀⠀⠸⢹⣮⣾⣾⣿⣿⣿⣿⣿⣿⣿

⠃⡤⣄⡇⢴⡿⡟⣿⣿⣮⣾⣤⡀⠾⢿⣿⣿⣿⢯⣚⣿⣿⣿⣟⠛⠀⣿⣿⢸⣿⣿⠀⣿⣿⠉⠁⢹⣿⣼⣿⠇⡄⠀⢸⣿⡇⣿⣿⡇⢸⣿⡇⠀⣼⣿⢆⡸⣿⣶⣿⣶⣂⣤⣄⣼⡁⣢⣀⣿⣿⣿⣿⠿⠿⠿⢿⣿⣿

⣄⠤⠿⡇⣿⣏⠉⣽⣿⣿⣿⣿⣿⡄⠺⠻⢻⣿⣶⠾⢿⣿⣿⡿⣵⠀⣿⣿⢿⣿⣿⠀⣿⣿⣿⡇⠈⣿⣿⡿⢰⣃⡀⢸⣿⣿⣿⣿⡇⢸⣿⡇⢨⣬⣿⣿⣿⣿⡟⣿⣿⣿⣞⣿⣿⣿⣿⣿⣿⣿⡏⠻⠆⢸⢻⣿⣿⣿

⣥⠄⢦⡇⣿⣿⡖⢿⣿⣿⣿⣿⣿⡇⡆⠀⠂⠙⠋⠈⠼⢒⣾⣿⣿⠀⣿⣿⢸⣿⣿⠀⣿⣿⣀⡀⠃⢸⣿⡇⢸⣿⡇⢸⣿⡇⣿⣿⡇⢸⣿⡇⠈⢹⡿⠛⢿⣿⠻⣯⡆⠀⡉⠉⢙⡛⡛⠿⠿⢿⣿⣾⣷⣿⣿⣿⣟⣽

⢥⡥⢥⣤⣭⣍⠱⠁⠛⠛⠘⠛⠛⠡⠠⡀⢁⣠⣿⣿⣶⣿⣿⣿⣿⡠⠿⠿⠸⠿⠿⠠⠿⠿⠿⠧⠀⠸⠿⠇⠹⠿⠇⠸⠿⠇⠿⠿⠇⠸⠿⠇⠀⠘⣧⢄⠸⠙⠆⠂⠃⠓⠂⠨⠴⠼⠤⠀⠐⠤⠤⠈⠭⠍⢻⣿⣿⣿

⢆⣭⡀⢸⣿⣿⠠⠤⠤⠤⡄⠀⠐⠀⠀⠈⣽⣿⣿⣿⡿⣿⣿⣿⣿⣿⣷⣀⣐⠒⣶⢀⠀⠄⠀⠀⠀⠐⠈⡐⠄⠀⠀⡆⠀⠀⢠⣿⣿⣿⣿⣿⣨⡗⡯⠮⠄⠀⠀⠀⠀⠁⠂⡇⣿⣿⡟⡍⡿⢉⢻⣿⡿⠀⣿⣿⣿⣿

⣾⣶⡖⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⡉⣩⡿⣿⠔⢊⠁⠔⣿⣿⠀⠀⡀⠀⠀⢀⠀⠑⡀⠀⠀⡂⠀⠀⣾⣷⣸⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠩⠀⠀⠁⣿⣿⣧⣴⣉⣢⣾⣿⡇⢸⣿⣿⣿⣿

⠿⠿⠿⠿⠿⠿⠀⠀⠀⠀⠁⠀⣀⣠⣿⣿⣿⣾⣿⢿⣿⣿⣿⡿⡃⣤⣹⠿⠟⠣⡿⡯⠤⢤⡤⠤⠄⠠⠤⠤⢽⣀⡀⣁⠀⢼⣿⡟⣿⣿⣿⡛⣷⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠿⠤⠿⠼⠧⠼⢿⣦⡇⢐⣿⣿⡧⠨

⠁⠁⣀⡀⠀⠀⠀⠀⠀⠀⣩⣾⣿⣿⣿⣿⡿⢏⣀⢄⣴⣿⣿⣿⣧⣙⣿⣟⣛⡁⣇⠓⡖⠒⠒⣲⠀⠀⠀⣔⡖⠛⠢⣄⡀⠀⢫⣧⣿⣿⣿⡇⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠄⠀⠀⠀⠀⠀⠈⠙⠛⠃⠀

⠳⠆⠀⠰⠒⠒⠐⠀⠀⣰⣿⣿⣿⣿⣿⣿⣥⣾⣾⣿⣿⣾⢟⡿⠿⠿⠿⠛⠿⠁⡏⡆⠧⢔⠒⠒⢒⡒⣒⣖⣒⠒⠒⠛⠂⠀⠀⠫⢛⣺⣿⢃⣷⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠤⠤⠼⠤⠄⢐⡤⡀⠀⠀⠐⠀⠋⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠤⣠⠤⠖⢔⡢⠀⣧⡇⠁⠠⢀⠜⢁⢂⠾⠦⠡⠈⢢⠀⢔⢤⣤⡀⠺⡿⠋⢠⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣊⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⢹⣿⠗⠀⠤⠤⠀⠀⢠⢶⣀⡟⣿⡇⠀⠘⡍⠹⣩⡿⢯⡉⠉⡹⠀⣮⢂⡀⠀⠀⠀⡄⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣼⡇⠀⠀⠀⠀⠀⠀⠊⠀⢀⠀⠀⠀⠀⠀⠈⠒⠵⠼⠴⠝⠊⠀⠀⠀⠀⠀⠀⠉⠀⡁⢠⠿⠋⢉⣾⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡄⣶⣶⣶⣴⣓⣀⡀⠀⢀⠀⠀⠀⠉⠉⠉⢉⣉⣋⣉⡉⢭⡍⠉⠉⠉⠀⠀⠀⠀⢱⣦⠀⣶⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣤⣤⣤⣤⣤⣤⣀⣸⣿⣿⣿⣿⣉⣛⣻⣿⣿⣿⣿⣿⡄⠘⢿⣿⣿⣿⣿⣿⣷⣾⣶⣿⣿⣿⣿⠍⠉⠉⠉⠉⠙⠈⠁⠉⠀⣧⠰⣴⢶⣶⡿⠝⠀⠙⠿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠀⠀⢶⣶⣤⣀⠉⠛⠛⠛⠛⣻⣿⣿⣛⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣿⣶⣶⣶⣶⣾⣿⣿⣿⣿⣥⣤⣤⣄⣀⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣔⠲⠶⠆⢈⡛⠿⢿⣿⣶⣶⡶⠾⠛⠓⠋⠁⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣶⣤⣤⣄⣀⣀⠀⠀⠀⠀

⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠿⠿⠛⠛⠛⠻⠷⢶⣶⣶⣤⣤⣤⣐⣂⣤⣴⣾⠿⠐⠠⠽⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⠙⠋⠙⠛⠛⠛⠛⠛⠛⠛⠿⠛⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠉⠻⠛⠻

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣟⡛⠀⠃⠀⣰⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣷⣧⡀⣶⡿⠶⢤⣀⣀⣰⠀⣶⣶⣄⢀⣒⣲⠄⢦⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣻⠿⡁⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⡟⡃⣛⣓⣒⣛⣛⡛⠛⠀⣘⡛⣛⡘⠛⣛⣻⠴⡛⣿⣿⣇⠀⢠⣤⣼⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠟⣻⠷⡀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣾⣿⣿⠇⠻⠟⠛⠛⠟⠛⠛⠈⠙⠃⠙⡿⠹⣿⣿⠿⠀⠘⣿⡟⠀⢸⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣏⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⢿⣿⣿⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⣖⣀⠈⠉⠀⠀⠀⠀⢤⣜⡇⠀⢸⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣻⣓⠦⢤⠿⠛⠛⠛⠛⠋⠋⠉⠉⠉⠉⠉⠉⠉⠀⠘⢰⢿⣿⠤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀⣿⢱⠀⠈⠿⠿⠿⠿⠿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣆⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣴⣾⣿⣴⣷⣤⣤⣿⣥⣿⣶⣶⣶⣶⣷⣶⣶⣶⣶⣿⣦⣤⣴⣶⣥⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣿⣆⣸⣀⣀⣤⣄⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⣛⣛⣋⣉⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠁⠀⠀⠠⠤⡖⠃⠀⠀⠀⠀⠀⢶⡇⠀⠀⠀⠀⠀⠀⢻⣧⠀⠠⡶⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣐⣐⣒⣒⣒⣒⣒⣀⣀⣀⣀⣀⣠⣤⣤⣤⣤⡀⠀⠀⠀⠀⠙⠂⠀⠀⠀⠀⠀⠸⠇⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢠⣿⣿⣿⠀⠀⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⣀⣼⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠘⣿⣿⣧⣀⡀⠀⠀⠀⢲⠾⠿⢴⣶⣶⣶⣦⣤⣠⣿⣀⠀⠀⠬⣽⣿⣿⣿⠁⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⡄⠀⠀⠀⠀⠩⠿⠿⠿⠿⠟⠿⠿⠧⠀⠂⠀⠀⠈⠉⠛⠉⢻⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣗⠀⠀⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣼⠀⠀⢸⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠉⠉⠉⠁⠀⠈⠉⠉⠉⠉⠉⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠀⠀⠈⠉⠉⠉⠉⠉⠁⢻⣿⣯⠉⠉⠉⠉⠉⠉⠉⠉

⠃⠀⢹⡆⢸⣟⠖⠙⠛⠀⠐⠛⢻⣿⣿⠏⡍⣉⡃⠀⡀⠏⠈⠚⠑⠋⢘⠃⠀⠍⣁⣿⣿⠩⠥⠧⢸⠰⠷⠂⠿⠿⠾⣿⠗⠀⠗⠋⢹⣿⣟⣛⡏⠁⢀⣷⠂⣾⣯⡿⣿⡏⢉⠽⠉⠙⡏⡇⠄⠿⣟⣻⣈⣭⣽⣿⣿⠿

⡒⠒⠓⡇⠺⣯⣥⡄⠀⠀⠀⠀⢼⢿⡏⠦⠷⣻⡟⠛⣧⣀⡀⢠⡄⠀⢸⠀⣨⠄⠻⣿⣿⠀⢤⡀⢸⠀⠀⠀⢸⠀⠁⣿⠾⠿⠤⢀⡈⢿⣿⡄⡀⠈⡇⠀⠀⣇⠀⣀⣀⣀⣀⠀⠀⠀⠸⢹⣮⣾⣾⣿⣿⣿⣿⣿⣿⣿

⠃⡤⣄⡇⢴⡿⡟⣿⣿⣮⣾⣤⡀⠾⢿⣿⣿⣿⢯⣚⣿⣿⣿⣟⠛⣿⣾⣿⣿⡦⢸⣬⣼⣜⢺⣿⣾⣀⣀⣨⣿⡄⠤⡇⢀⢠⣂⣼⣶⣾⣿⣩⣧⣼⣿⢆⡸⣿⣶⣿⣶⣂⣤⣄⣼⡁⣢⣀⣿⣿⣿⣿⠿⠿⠿⢿⣿⣿

⣄⠤⠿⡇⣿⣏⠉⣽⣿⣿⣿⣿⣿⡄⠺⠻⢻⣿⣶⠾⢿⣿⣿⡿⣵⣿⣿⣿⣿⡦⢸⢤⡄⠸⣦⣽⣿⣿⣿⣿⣿⣃⣒⠇⠁⠨⠃⣿⣿⢿⣿⣾⣿⣬⣿⣿⣿⣿⡟⣿⣿⣿⣞⣿⣿⣿⣾⣿⣿⣿⡏⠻⠆⢸⢻⣿⣿⣿

⣥⠄⢦⡇⣿⣿⡖⢿⣿⣿⣿⣿⣿⡇⡆⠀⠂⠙⠋⠈⠼⢒⣾⣿⣿⣿⣬⣿⠃⣳⣸⡞⢀⠀⢀⠸⣏⢿⣿⣿⣿⣿⣿⢸⠀⠈⢴⣿⡿⠦⠄⠼⠏⢹⡿⠛⢿⣿⠻⣯⡆⠀⡈⠉⢙⡛⡛⠿⠿⢿⣿⣾⣷⣿⣿⣿⣟⣽

⢥⡥⢥⣤⣭⣍⠱⠁⠛⠛⠘⠛⠛⠡⠠⡀⢁⣠⣿⣿⣶⣿⣿⣿⣿⣿⣿⣀⣀⣼⡚⠁⣥⣤⡤⠠⣦⠥⡝⠛⠿⠿⠿⡻⠗⠄⠀⣼⣥⣄⠀⢰⠀⠘⣧⢄⠸⠙⠆⠂⠃⠓⠂⠨⠴⠼⠤⠀⠐⠤⠤⠈⠭⠍⢻⣿⣿⣿

⢆⣭⡀⢸⣿⣿⠠⠤⠤⠤⡄⠀⠐⠀⠀⠈⣽⣿⣿⣿⡿⣿⣿⣿⣿⢩⣥⣤⢠⣤⡤⢠⣤⣤⣤⣤⣤⣄⢨⣤⡤⠀⠀⣤⣤⡄⣤⣭⡍⣭⣭⡍⢨⡗⡯⠮⠄⠀⠀⠀⠀⠁⠂⡇⣿⣿⡟⡍⡿⢉⢻⣿⡿⠀⣿⣿⣿⣿

⣾⣶⡖⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⡉⣩⡗⢸⣿⣿⢸⣿⡇⢸⣿⣿⠛⠃⣿⣿⣸⣿⠇⠀⠀⣿⣿⡇⣿⣿⡇⣿⣿⡇⢸⣿⣦⠀⠀⠀⠀⠀⠩⠀⠀⠁⣿⣿⣧⣴⣉⣢⣾⣿⡇⢸⣿⣿⣿⣿

⠿⠿⠿⠿⠿⠿⠀⠀⠀⠀⠁⠀⣀⣠⣿⣿⣿⣾⣿⢿⣿⣿⣿⡿⡃⢸⣿⣿⣿⣿⡇⢸⣿⣿⣶⡆⠸⣿⣿⡟⠰⣀⠀⣿⣿⣿⣿⣿⡇⣿⣿⡇⢰⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠿⠤⠿⠼⠧⠼⢿⣦⡇⢐⣿⣿⡷⠨

⠁⠁⣀⡀⠀⠀⠀⠀⠀⠀⣩⣾⣿⣿⣿⣿⡿⢏⣀⢄⣴⣿⣿⣿⡇⢸⣿⣿⢸⣿⡇⢸⣿⣿⠉⠀⠀⣿⣿⠁⡐⠛⠂⣿⣿⡇⣿⣿⡇⣿⣿⡇⣸⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠄⠀⠀⠀⠀⠀⠈⠙⠛⠃⠀

⠳⠆⠀⠰⠒⠒⠐⠀⠀⣰⣿⣿⣿⣿⣿⣿⣥⣾⣾⣿⣿⣾⢟⡿⠇⢸⣿⣿⢸⣿⡇⢸⣿⣿⣿⡇⠀⣿⣿⠀⣒⠒⠂⣿⣿⡇⣿⣿⡇⣿⣿⡇⣷⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠠⠤⠼⠤⠄⢐⡤⡀⠀⠀⠀⠀⠁⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠤⣠⠤⠆⢄⡠⠀⣦⡆⠀⠠⢀⠄⢀⢀⠶⠦⠡⠈⢢⠀⢄⢤⣤⡀⠲⣶⠀⢠⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣊⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣼⡇⠀⠀⠀⠀⠀⠀⠊⠀⢀⠀⠀⠀⠀⠀⠈⠒⠵⠼⠴⠝⠊⠀⠀⠀⠀⠀⠀⠉⠀⡁⢠⠿⠋⢉⣾⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣤⣤⣤⣤⣤⣤⣀⣸⣿⣿⣿⣿⣉⣋⣻⣿⣿⣿⣿⣿⡄⠘⢿⣿⣿⣿⣿⣿⣷⣾⣶⣿⣿⣿⣿⠍⠉⠉⠉⠉⠙⠈⠁⠉⠀⣧⠰⣴⢶⣶⡿⠝⠀⠙⠿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠿⠟⠛⠛⠛⠻⠷⢶⣶⣶⣤⣤⣤⣐⣂⣤⣴⣾⠿⠐⠠⠽⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⠙⠋⠙⠋⠛⠛⠛⠛⠛⠛⠿⠛⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣏⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⢻⣿⣿⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⣖⣀⠈⠉⠀⠀⠀⠀⢤⣜⡇⠀⢸⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣻⣓⠦⢤⠿⠛⠛⠛⠛⠋⠋⠉⠉⠉⠉⠉⠉⠉⠀⠘⢰⢿⣿⠤⣆⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀⣯⢱⠀⠈⠿⠿⠿⠿⠿⢿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣆⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣴⣾⣿⣴⣷⣤⣤⣿⣥⣿⣶⣶⣶⣶⣷⣶⣶⣶⣶⣿⣦⣤⣴⣶⣤⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⣛⣛⣋⣉⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠁⠀⠀⠠⠤⡖⠃⠀⠀⠀⠀⠀⢶⡇⠀⠀⠀⠀⠀⠀⢻⣧⠀⠠⠶⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣇⠀⠀⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣼⠀⠀⢸⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠉⠉⠉⠁⠀⠈⠉⠉⠉⠉⠉⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠀⠀⠈⠉⠉⠉⠉⠉⠁⢻⣿⣯⠉⠉⠉⠉⠉⠉⠉⠉

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣻⣻⣿⣿⣭⣽⣷⣾⣿⣿⣿⣿

⠛⠻⢻⡃⢛⣛⡿⡿⣿⠿⠿⡿⢿⣿⣿⡻⠛⣿⣿⠿⠿⣿⠿⢿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠃⠀⢹⡄⢸⣟⠖⠙⠛⠀⠐⠛⢻⣿⣿⠏⡍⣉⡃⠀⡀⠏⠈⠚⠑⠋⢘⠃⠀⠍⣁⣿⣿⠩⠥⠧⢸⠰⠷⠂⠿⠿⠾⣿⠗⠀⠗⠋⢹⣿⣏⣛⡏⠁⢀⣷⠂⣾⣯⡿⣿⡏⢉⠭⠉⠙⣧⣇⠞⠿⣏⣨⣀⣿⣿⣿⣿⠿

⡒⠒⠓⡇⠺⢯⣧⡄⠀⠀⠀⠀⢼⢿⡏⠦⠷⣟⣟⢛⣧⣀⡀⢠⡄⠀⢸⠀⣠⠄⠻⣿⣿⠀⢤⡀⢸⠀⠀⠀⢸⠀⠁⣿⠾⠿⠤⢀⡈⢿⣿⡄⡀⠈⡇⠀⠀⣇⠀⣀⣀⣀⣀⠀⠀⠀⠸⢠⣤⣾⣾⣿⣿⣿⣿⣿⣿⣿

⠃⡤⣄⡇⣴⡿⡟⣿⣷⣬⣴⣦⡐⢾⣷⣿⣿⣿⢿⢚⣿⣿⣷⡟⠛⣿⣾⣿⣿⡷⣸⣬⣼⣜⢻⣿⣾⣤⣀⣀⣿⡄⠤⡇⢀⢠⣂⣼⣶⣾⣿⣩⣇⣼⣽⢆⡸⢿⣦⣿⣶⣆⣤⣄⣾⡁⣆⣀⣿⣿⣿⣿⠿⠿⠿⢿⣿⣿

⣄⠤⠿⡇⣿⣏⠉⣿⣿⣿⣿⣿⣿⡝⠻⠻⢻⣿⣶⠶⢿⣿⣿⠏⣵⣿⣿⣿⡿⡿⢺⢍⡅⠩⣦⣽⣿⣿⣿⣿⣿⣇⣒⠇⠁⠨⠃⣿⣿⢿⣿⣿⣿⠭⣿⣿⣽⣿⡿⣿⣾⣿⣟⣿⣯⣿⣮⣿⣿⣿⣏⠻⠆⠾⢷⣿⣿⣿

⣡⠄⠦⠇⣿⣿⣷⢿⣿⣿⣿⣿⣿⠇⡆⠀⠂⠘⡋⠈⠼⠒⢂⣿⣿⡿⢿⣾⡳⢲⣹⡞⢀⠀⢀⠸⣟⢿⣿⣿⣽⣿⣿⢱⠀⠈⣴⣿⡿⠦⠄⠼⠏⢻⡟⠛⢿⡿⠿⣻⣇⠀⡉⠉⢙⡛⡛⠿⠿⢿⣿⣾⣷⣷⣿⣿⣏⣼

⢥⡥⢭⣥⣭⣍⠹⠂⠛⠃⠘⠛⠛⠠⠠⡀⢁⢀⣤⣶⣤⣴⣿⣿⣯⣶⣿⡍⠓⣾⡚⠁⣥⣤⡤⠠⣦⠽⡟⠛⠿⠿⠿⡺⠗⠄⠀⢼⣡⣄⠀⢰⠀⠘⣧⢄⠸⠧⠀⠛⠀⠓⠀⠨⠵⠼⠠⠀⠲⠠⠤⠈⠭⠍⣻⣿⣿⣿

⢆⣭⡀⢸⣿⣿⠠⠤⠤⠤⡄⠀⠐⠀⠀⠈⢉⣿⣿⣿⡿⣿⣿⣻⣏⢩⣥⣥⢠⣤⡤⢠⣤⣤⣤⣤⣤⣄⢨⣤⡤⠀⠀⣤⣤⡄⣤⣬⡍⣭⣭⡍⢸⣗⡯⠮⠄⠀⠀⠀⠀⠁⠂⡇⣿⣿⡟⡍⡿⢉⢻⣿⡿⢸⣿⣿⣿⣿

⣾⣶⡖⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣦⣢⣿⡗⢸⣿⣿⢸⣿⡇⢸⣿⣿⠛⠃⢿⣿⣸⣿⠇⠀⠀⣿⣿⡇⣿⣿⡇⣿⣿⡇⢸⣿⣿⣦⡀⠀⠀⠀⠩⠀⠀⠁⣿⣿⣧⣔⣉⣢⣾⣿⡇⢸⣿⣿⣿⣿

⠿⠿⠿⠿⠿⠿⠀⠀⠀⠀⠁⠀⣀⣴⣿⣿⣯⣾⡿⣿⣿⡿⣯⠙⠁⢸⣿⣿⣿⣿⡇⢸⣿⣿⣶⡆⠸⣿⣿⡟⠰⣀⠀⣿⣿⣿⣿⣿⡇⣿⣿⡇⢹⣻⣻⣿⣿⣇⠀⠀⠀⠀⠀⠀⠿⠤⠿⠼⠧⠼⢿⣦⡇⠘⣿⣿⣿⠻

⠁⠁⣀⡀⠀⠀⠀⠀⠀⠀⣩⣾⣿⣿⣿⣿⡿⢏⡀⠀⣽⣿⣿⡆⠀⢸⣿⣿⢸⣿⡇⢸⣿⣿⠉⠀⠀⣿⣿⠁⡐⠛⠂⣿⣿⡇⣿⣿⡇⣿⣿⡇⣿⣾⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⢀⠀⠄⠀⠀⠀⠀⠀⠈⠙⠛⠋⠀

⠳⠆⠀⠐⠒⠒⠐⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣾⣾⣿⣿⣿⣿⣷⣾⢸⣿⣿⢸⣿⡇⢸⣿⣿⣿⡇⠀⣿⣿⠀⣒⠒⠂⣿⣿⡇⣿⣿⡇⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠠⠤⠼⠤⠄⢐⡤⡀⠀⠀⠀⠀⠋⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⠟⠻⣿⣷⠖⢔⡢⠀⣦⡆⠀⠠⢀⠄⢀⢀⠶⠦⠡⠈⢢⠀⢤⢤⣤⠀⠀⠄⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢊⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣖⠀⠁⠀⠀⠈⠁⠀⠁⢶⣐⡟⣿⡇⠀⠘⡍⠹⣩⡿⢯⡉⠉⡹⠀⣮⢂⣤⠀⠀⠀⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢳⡿⠀⠠⠤⠤⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠵⠼⠴⠝⠊⠀⠀⠀⠀⠀⠈⠀⠉⡀⢼⣿⠾⠋⠉⣀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⡿⠐⣿⣿⣿⣮⣁⣀⣄⣀⡀⠀⠉⠁⠀⠀⢀⠀⠐⠁⠉⠉⣉⣉⣙⣩⣭⡍⢭⣍⡉⠉⠉⠀⠀⠀⠀⢱⣶⣿⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣤⣤⣤⣤⣤⣤⣀⣼⣿⠿⠛⠛⢛⣓⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⠀⢻⣿⡿⠿⠟⠀⠀⠀⠀⠈⠀⠀⠀⠀⣧⠰⣴⢶⣶⡿⠝⣷⠀⠀⣘⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⠃⣀⣀⠀⠻⣿⣿⣦⣄⡈⠙⠛⠛⣛⣿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣶⣶⣶⣾⣶⣶⣾⣿⣿⣿⣿⣤⣀⣀⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣷⣌⣛⣀⠀⠉⠛⠻⠿⠿⠿⠶⠶⠛⠓⠒⠊⢁⣚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣶⣤⣤⣄⣀⣀⠀⠀⠀⠀

⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠿⠿⠷⢶⣦⣤⣶⣶⣶⡾⠿⠀⠀⠰⢿⣿⣿⣿⡿⢿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠀⠁⠉⠉⠁⠀⠉⠉⠉⠙⠋⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠉⠹⠛⠻

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣟⣛⠂⠙⠀⣰⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣷⡆⣖⡓⠒⣢⣤⣦⣶⠀⣶⣶⣆⣀⣒⣲⠄⢦⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣟⠿⡁⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⡟⡃⣛⣛⣛⣛⣛⣛⠛⠀⣘⠛⣛⡘⠛⣛⣻⠼⡛⣿⣿⣇⠀⢠⣤⣼⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠟⣻⠷⡄⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣾⣿⣿⠇⠛⠛⠛⠛⠟⠟⠋⠈⠙⠁⠙⡿⠹⣿⣿⠿⠀⠘⣿⡟⠀⢸⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣟⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⢻⣿⣿⠠⡄⠀⠀⠀⠀⠀⠀⠀⠀⣖⣀⠈⠉⠀⠀⠀⠀⢤⣜⠇⠀⢸⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣻⣗⠦⢤⠿⠛⠛⠛⠛⠋⠉⠉⠉⠉⠉⠉⠉⠉⠀⠘⢰⣿⣿⡥⣇⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠈⣯⢡⠀⠈⠿⠿⠿⠿⠿⢿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣆⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣤⣤⣤⣵⣷⣤⣤⣿⣥⣿⣷⣶⣶⣶⣷⣶⣶⣶⣶⣿⣦⣤⣴⣶⣥⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢀⡀⣀⣀⠿⢆⣸⣀⣀⣤⣄⣀⣀⣀⣀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠉⠉⣙⣛⣋⣉⣻⣿⣿⣿⣿⠀⠀⠀⠀⣤⡞⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⡇⠀⠀⠀⠀⠀⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣐⣐⣒⣒⣒⣒⣒⣀⣀⣀⣀⣀⣠⣤⣤⣽⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠇⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⣈⠘⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡆⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢲⠾⠷⢶⣶⣶⣶⣶⣦⣠⣿⣂⢻⣿⣿⣿⣿⣿⣿⠁⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣦⠠⠄⠀⠀⠀⠈⠁⠀⠩⠿⠿⠿⠿⠟⠿⠿⠧⠀⠄⠀⢿⣿⣿⣿⣿⣿⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣀⣀⣀⣼⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠉⠉⠉⠁⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠈⠉⠉⠉⠉⠉⠁⢻⣿⣯⠉⠉⠉⠉⠉⠉⠉⠉

⠛⠻⢻⡃⢛⣛⡿⡿⣿⠿⠿⡿⢿⡟⠛⢻⣿⣿⣿⠿⠿⣿⠿⢿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠃⠀⢹⡄⢸⣟⠖⠙⠛⠀⠐⠛⢻⣿⣿⠏⡍⣉⡃⠀⡀⠇⠈⠚⠑⠋⢘⠃⠀⠍⣁⣿⣿⠩⠥⠧⢸⠰⠷⠂⠿⠿⠾⣿⠗⠀⠗⠋⢹⣿⣏⣛⡏⠁⢀⣿⠂⣾⣮⡿⣿⡏⢉⠭⠉⠑⣧⣏⠟⠣⣀⣠⣛⣟⣻⣿⢿⠭

⡒⠒⠓⡇⠺⣯⣥⡄⠀⠀⠀⠀⢼⢿⡏⠦⢷⢛⣟⢛⣧⣀⣀⢠⡄⡀⢸⠀⣨⠄⠻⣿⣿⠀⢤⡀⢸⠀⠀⠀⢸⠀⠁⣿⠾⠿⠤⢀⡈⢿⣿⡄⡀⠈⡇⠀⠀⢇⠀⢀⣀⣀⣀⠀⠀⠀⠸⠛⠋⠺⣾⣿⣿⣿⣿⣿⣿⣿

⠃⡤⠄⡇⣴⡿⡟⣿⣷⣨⣶⣤⠐⢾⣿⣿⣿⣿⢿⢚⣿⣿⣿⡛⠛⣿⣾⣿⣿⣷⣾⣬⣼⣞⢻⣿⣾⣤⣄⣽⡼⠀⠠⡇⢀⢠⣂⣼⣷⣾⣿⣩⣇⣴⣽⢆⡰⣿⣮⣿⢶⣆⣤⣄⣯⡁⣀⣀⣶⣶⣿⣿⡿⠿⠿⠿⢿⣿

⣄⠤⠤⡇⣿⣯⣍⢹⣿⣿⣿⣿⣷⠖⠻⠻⢻⣿⣶⠶⢿⣿⣿⠏⣱⣿⣿⣿⣿⡛⢺⢍⡍⠩⣆⣽⣿⣿⣿⣿⣵⣄⡒⠇⠁⠨⠃⣿⣿⢿⣿⣿⣿⣭⣿⣿⣽⣿⡿⣿⣶⣿⣟⣿⣯⣿⣾⣿⣯⣿⣏⠻⠇⠾⣶⣾⣿⡿

⣡⠄⠥⠃⣿⣿⣿⠿⣿⠿⣿⣿⣿⠂⡆⠀⠂⠘⠋⠈⠼⠒⢂⣾⣿⠿⢻⣿⠻⣩⣹⡞⢀⠀⢀⠸⣏⢿⣿⣿⣿⣿⣿⢑⠀⠈⢴⣿⡿⠦⠄⠼⠿⢹⡟⠛⢿⡿⠾⣛⣧⡀⡉⠉⢙⡛⡛⠿⠿⢿⣿⣾⣷⣷⣿⣿⣏⣷

⢥⡥⢭⣥⣭⣍⠹⠃⠛⠀⠘⠛⠛⠠⠠⡀⢁⠀⠀⢀⣠⣴⣾⣿⣿⣷⣿⡟⢀⣞⡚⠁⣥⣤⡤⠠⣦⠥⡝⠛⠿⠿⠿⡺⠗⠄⠀⢼⣡⣄⠀⢰⠀⠘⣧⢄⠸⠷⠄⠛⠀⠒⠀⠨⠵⠼⠠⠀⠲⠠⠤⠈⠭⠍⣻⣿⣿⣿

⢆⣭⡀⢸⣿⣿⠠⠤⠤⠤⡄⠀⠐⠀⠀⠈⠉⣠⣶⣿⣿⣿⣿⣿⣿⢫⣤⣥⢠⣤⡤⢠⣤⣤⣤⣤⣤⣄⢨⣤⡤⠀⠀⣤⣤⡄⣤⣬⡍⣭⣭⡍⢸⣗⣯⠮⠄⠀⠀⠀⠀⠁⠂⡇⣿⣿⡟⡍⡿⢉⢻⣿⡿⢸⣿⣿⣿⣿

⣾⣶⡖⣿⡟⢻⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣯⡋⢉⡁⢸⣿⣿⢸⣿⡇⢸⣿⣿⠛⠃⢿⣿⣸⣿⠇⠀⠀⣿⣿⡇⣿⣿⡇⣿⣿⡇⢸⣿⣿⣿⣦⡀⠀⠀⠩⠀⠀⠁⣿⣿⣧⣔⣉⣢⣾⣿⡇⢸⣿⣿⣿⣿

⠿⠿⠿⠿⠿⠿⠀⠀⠀⠀⠁⠀⣀⣤⣾⣿⣧⣿⡿⣿⣿⣿⣿⣟⡁⢸⣿⣿⣿⣿⡇⢸⣿⣿⣶⡆⠸⣿⣿⡟⠰⣀⠀⣿⣿⣿⣿⣿⡇⣿⣿⡇⣼⡫⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠿⠤⠿⠼⠧⠼⢿⣦⡇⢸⣿⣿⣿⠳

⠁⠁⣀⡀⠀⠀⠀⠀⠀⠀⣩⣾⣿⣿⣿⣿⡿⢋⡠⢀⣿⣿⣿⣿⡇⢸⣿⣿⢸⣿⡇⢸⣿⣿⠉⠀⠀⣿⣿⠁⡐⠛⠂⣿⣿⡇⣿⣿⡇⣿⣿⡇⢻⣿⣾⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⢀⠀⠄⠀⠀⠀⠀⠀⠈⠙⡛⠋⠀

⠳⠆⠀⠐⠒⠒⠐⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣶⣾⣿⣿⣿⣿⡿⠃⢸⣿⣿⢸⣿⡇⢸⣿⣿⣿⡇⠀⣿⣿⠀⣒⠒⠂⣿⣿⡇⣿⣿⡇⣿⣿⡇⣸⣽⣿⣿⣿⣿⣿⣿⡄⠀⠀⠠⠤⠼⠤⠄⢐⡤⡀⠀⠀⠐⠀⢁⠂⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⠽⠃⠀⠀⡐⠐⣢⠀⣦⡆⠀⠀⢀⠄⢀⢀⠶⠦⠡⠈⢢⠀⢤⢤⣤⠀⠀⠀⠴⢰⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡁⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢱⡄⠀⠀⠀⠀⠀⢀⠶⢶⣐⡟⣿⡇⠀⠘⡍⠹⣩⡿⢯⡉⠉⡸⠀⣮⢂⣤⠀⠀⠠⡄⢸⣿⣿⣿⣿⠟⢯⣻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⢀⡰⠆⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⠀⣾⠏⠠⠤⠤⠒⢒⠂⠂⠀⠀⠀⠀⠀⠀⠀⠈⠒⠵⠼⠴⠝⠊⠀⠀⠀⠀⠀⠐⠐⠒⡁⢠⣽⠻⠁⢰⣤⣼⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⢀⣤⣾⣿⡗⠂⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠊⠉⠁⠀⣀⡀⠀⠉⠀⠀⠀⢀⠀⢀⣃⣉⣋⣉⣩⠭⢭⣭⣍⢯⢍⠉⠉⠉⠀⠀⠐⠆⢱⣿⡟⠀⠀⠈⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣴⣾⠿⠿⢿⣿⣇⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣀⣼⣿⣿⣿⣿⣿⣿⡇⠘⠀⢻⠿⠟⠛⠋⠁⠀⠀⠀⠀⠀⠀⢰⡔⣧⠰⣴⢶⣾⡿⠝⣧⠀⠀⡠⣴⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⡏⠀⠀⠀⠸⣿⣿⣿⣦⣄⡈⠛⠋⢉⣿⠟⠛⠙⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣶⣶⣶⣾⣶⣶⣿⣿⣿⣿⣿⣤⣄⣀⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀

⣦⣍⠛⠋⠀⠍⠛⠻⠿⠿⠿⠿⠚⢛⡉⠉⠁⣀⣮⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣶⣤⣤⣄⣀⣀⠀⠀⠀⠀

⠉⠙⠛⠿⠿⠶⢶⣶⣤⣴⣶⡶⠾⠟⠂⠈⠁⠚⠛⢛⣻⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠈⠉⠀⠀⠉⠉⠉⠉⠉⠛⠋⠋⠉⠙⠛⠛⠛⠛⠻⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠉⠹⠛⠻

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣛⠂⠘⠀⣰⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⡆⣦⣄⣠⣴⣶⣶⣶⠐⣶⣶⣆⣀⣒⣲⠄⢦⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣟⡿⢉⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⡟⡃⣛⣛⣛⣛⣛⣛⠛⠀⣘⠛⣛⡘⠛⣛⣻⠴⡛⣿⣿⣇⠀⢠⣤⣼⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⣛⡿⠦⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣾⣿⣿⠇⠻⠿⠿⠿⠿⠟⠛⠈⠙⠃⠙⡿⠹⣟⣻⠿⠀⠘⣿⡟⠀⢸⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⢻⣿⣿⠠⡄⠀⠀⠀⠀⠀⠀⠀⠀⣖⣀⠈⠉⠀⠀⠀⠀⢤⣌⠃⠀⢸⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⣟⡦⢤⡿⠛⠛⠛⠛⠋⠉⠉⠉⠉⠉⠉⠉⠉⠀⠈⢠⣹⡿⡤⣇⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠈⣯⢡⠀⠈⠿⠿⠿⠿⠿⢿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣆⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣼⣥⣤⣵⣷⣤⣤⣿⣭⣿⣷⣶⣶⣶⣷⣶⣶⣶⣶⣿⣦⣤⣴⣶⣥⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠿⢆⣸⣀⣀⣤⣄⣀⣀⣀⣠⣴⣿⣿⠃⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠉⠉⡙⣛⣋⣉⣻⣿⣿⣿⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⡇⠀⠀⠀⠀⠀⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣐⣒⣒⣒⣒⣒⣀⣈⡛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠇⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⣈⠸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⣀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⢲⠾⠿⢶⣶⣶⣶⣶⣶⣢⣿⣂⣻⣿⣿⣿⣿⣿⣿⠁⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⡐⠶⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠩⠿⠿⠿⠿⠿⠿⠿⠧⠀⠆⠘⣿⣿⣿⣿⣿⣿⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣄⡀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⢀⣀⣀⣀⣠⣄⣀⣤⣤⣤⣴⣄⣠⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠉⠉⠉⠁⠀⠀⠀⠀⠈⠉⠁⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠈⠉⠉⠉⠉⠉⠁⢻⣿⣯⠉⠉⠉⠉⠉⠉⠉⠉

[39A⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿

⣿⣿⣿⡁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠛⠻⢻⡃⢛⣛⡿⡿⣿⠿⠿⡿⢛⠛⢻⣿⣿⣿⣿⠿⠿⣿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠁⠀⠹⠀⢸⣝⠖⠙⠛⠀⠐⠓⢻⣿⣿⠏⡍⣉⡃⠀⡀⠃⠈⠊⠑⠋⢘⠃⠀⠍⣁⣿⣿⠩⠥⠧⢸⠰⠷⠂⠿⠿⠾⣿⠗⠀⠗⠋⢹⣿⣏⣓⡎⠁⢀⣿⠂⣶⣦⡿⣿⡏⠉⠭⠉⠙⣄⣟⠄⠠⣘⣛⣛⣟⣻⣿⣭⠭

⡒⠒⠓⡇⠺⣯⣥⠀⠀⠀⠀⠀⢸⣿⡏⠦⠷⢿⡟⢻⣇⡀⣀⣀⡄⡀⢸⠀⣠⠀⠻⣿⣿⠀⢤⡀⢸⠀⠀⠀⢸⠀⠁⣿⠾⠿⠤⢀⡈⢿⣿⡄⡀⠈⡇⠀⠀⣇⠀⢀⣀⣀⣀⢀⠀⠀⠸⢻⣯⣾⣾⣷⣿⣿⣿⣿⣿⣿

⠃⡤⠄⡆⣴⡿⡟⡿⣷⣾⣾⣤⠐⢾⣷⣿⣿⣿⢿⢝⣿⣿⣯⠛⠛⣿⣾⣿⡿⣷⣾⣬⣼⣞⢸⣿⣾⣤⣽⣄⠸⠀⠠⡇⢀⢠⣂⣼⣷⣾⣽⣍⣇⣴⣽⢆⣰⣿⣬⣿⢶⣆⣤⣀⣯⡁⣀⣀⣿⡛⣙⣿⡿⠿⠿⠿⢿⣿

⣄⠤⠤⡇⣿⣿⣍⣿⣿⣿⣿⣿⣧⠚⠻⠻⢻⣿⣶⠾⢿⣿⣿⢉⣡⣿⣿⣟⣿⡹⢸⢍⡉⠩⢆⣽⣿⣿⣿⣿⣴⣄⣒⠇⠁⠨⠃⣿⣿⢿⣯⣿⣿⣩⣿⣿⡽⣿⣿⣿⣶⣿⣟⣿⣯⣿⣾⣿⣿⣿⣏⠻⠟⠾⣶⡾⢏⣿

⣠⠄⠥⡇⣿⣿⣿⢿⣿⣟⣿⣿⣿⠀⡆⠀⠂⠘⠛⠈⠼⠒⢢⣿⡿⢯⣹⢿⡟⢸⣹⡞⢀⠀⢀⠸⣍⢿⣿⣿⣿⣿⣿⢰⠀⠀⢰⣿⡿⠦⠄⠼⠟⢻⡟⠛⢣⣿⡻⣻⡇⡀⠉⠉⢙⡛⠛⠿⠿⢿⣿⣾⣿⣷⣿⣷⣿⣿

⢧⡥⢬⣤⣭⣍⠹⠂⠛⠃⠛⠛⠛⠠⠠⡀⢁⠀⠀⠀⢀⣴⣾⣿⣷⣿⣿⣿⣁⣚⡚⠁⣥⣤⡤⠠⣦⠥⡝⠛⠿⠿⠿⡺⠗⠄⠀⢸⣤⣀⠀⢰⠀⠘⣧⢄⠸⠉⠃⠓⠁⠒⠀⠨⠷⠼⠠⠀⠀⠤⠤⠈⠭⠍⣿⣿⣿⣿

⢆⣭⡀⢸⣿⣿⠠⠤⠤⠤⡄⠀⠐⠀⠀⠈⠉⣀⣤⣄⣸⣿⣿⣿⣿⣿⣿⣯⣀⠗⣷⢀⠁⠄⠁⠀⠀⠐⠈⡐⠄⠀⠀⡆⠀⠀⢰⣿⣿⣿⣿⣽⢸⣗⡯⠮⠄⠀⠀⠀⠀⠁⠂⡇⣿⣿⡟⡍⡿⢉⢻⣿⡷⢸⣿⣿⣿⣿

⣾⣶⡒⣿⡟⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⠉⣾⣶⡁⠐⣿⣿⠀⠀⠀⠀⠀⢀⠀⠑⡀⠀⠀⡀⠀⠀⣼⣧⣿⣿⣿⡿⣿⣿⣿⣦⣀⠀⠀⠀⠉⠀⠀⠁⣿⣿⣧⣔⣉⣢⣾⣿⡇⢸⣿⣿⣿⠿

⠽⠿⠿⠿⠿⠿⠀⠀⠀⠀⠁⠀⣀⣤⣾⣿⣴⣿⠿⣿⣿⢿⣉⣼⣯⢇⣉⣉⣉⡧⡷⡯⠤⢤⡤⠤⠄⠠⠤⠤⠽⣀⡀⡁⠀⢰⣿⣟⣿⣿⣿⡇⡿⢿⣧⣿⣿⣷⡄⠀⠀⠀⠀⠀⠿⠤⠿⠼⠧⠼⢿⣦⡇⢸⣿⣿⣿⠳

⠁⠁⣀⡀⠀⠀⠀⠀⠀⠀⣩⣾⣿⣿⣿⣿⡿⢁⡠⣀⣾⣿⣿⣿⣿⡜⠿⠛⠉⡁⣇⠓⡖⠂⠂⣠⠀⠀⠀⣄⡒⠛⠢⣄⡀⢰⣿⡿⣿⡿⣻⡇⣿⣶⣽⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⢀⠀⠄⠀⠀⠀⠀⠀⠨⢹⡿⠇⠀

⠳⠆⠀⠠⠐⠒⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣥⣾⣾⣿⣿⣿⣿⣿⣿⣿⣶⡶⠶⠉⡏⡆⠧⠔⠒⠒⢒⡒⣒⣒⣒⠒⠒⠛⠂⠀⠀⠩⢉⢸⣿⢇⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠠⠤⠼⠤⠄⢐⡄⠀⠀⠀⠀⠘⡼⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠊⣻⠿⣿⠛⠛⠻⢛⣁⠀⣧⡇⠁⠀⢀⠄⢁⢂⠾⠦⠡⠈⢢⠀⢴⢤⣤⠀⠀⠚⠿⠸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢘⡤⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⡀⠈⠉⠀⠈⠿⢶⣐⡟⣿⡇⠀⠘⡉⠹⣩⡿⢯⡉⠉⡸⠀⣮⢂⣤⠀⠀⠠⠄⢰⣿⣯⡿⢟⠋⣳⣍⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠄⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣿⣿⡍⠁⠀⠒⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠈⠒⠵⠼⠴⠝⠊⠀⠀⠀⠀⠀⠐⠒⠒⡀⢠⣯⠛⠀⢸⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠠⣾⣿⣿⣶⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢟⣛⠿⣿⣷⡀⠀⠀⠀⠀⡀⢀⠀⢀⣁⣋⣙⣉⣭⡭⠿⠿⠍⠿⠭⠉⠉⠉⠀⠀⠐⠆⢰⣾⡇⠀⠀⠀⠹⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠙⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣛⣛⣻⣿⣿⣀⣀⣉⣙⣿⣿⣿⣿⣿⣿⡇⠘⠀⠸⠛⠋⠋⠉⠀⠀⠀⠀⠀⠀⠀⠆⠄⣧⠰⣔⢶⣾⡿⠝⠇⠀⠀⠀⠰⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣶⣤⣀⡈⠉⣠⠾⠥⠜⠈⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣾⣶⣶⣶⣾⣶⣶⣾⣷⣿⣿⣿⣿⣀⣀⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⣤⣾

⠛⠛⠛⠛⢉⣡⠄⠀⠠⣚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣶⣤⣤⣄⣀⣀⠀⠘⢿⣿

⠶⠾⠿⠟⠛⠋⠁⠀⠈⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⢿⣿⣿⣿⣿⣿⡿⣛⣛⡛⣛⣛⠛⣛⣛⣛⡛⣛⣛⠻⣛⣛⣿⣿⢟⣛⣛⢛⣛⣛⢛⣛⣛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⠿⠇⢹⣿⡆⣿⡿⠀⠁⢸⣿⣿⢸⣿⡇⢸⣿⣿⠀⠉⠉⠉⠙⠛⠋⠉⠛⠛⠛⠛⠛⠻⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣶⣿⣿⠀⣿⣿⣤⡄⠈⣿⣿⣿⠇⠀⠀⢸⣿⣿⣾⣿⡇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠉⠛⠛⠛

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣟⣛⠢⠙⠀⣰⣶⣶⣾⣿⣿⣿⣿⠀⣿⣿⡍⣿⣿⠀⣿⣿⠛⢣⡄⢸⣿⡟⢰⣶⠀⢸⣿⣿⢹⣿⡇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣟⠿⠁⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⡀⣿⣿⡇⣿⣿⠀⣿⣿⣶⣶⠁⢸⣿⡇⠘⠛⠀⢸⣿⣿⢸⣿⡇⢸⣿⣿⢸⣿⣇⠀⢠⣤⣼⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠟⣻⠿⡆⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣷⣭⣭⣤⠉⠉⣤⣭⣭⠉⠉⠒⠊⠉⠁⠟⠋⠀⠈⠉⠉⡬⠉⣁⣨⠍⠉⠘⣿⡟⠀⢸⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⢻⣿⣿⠠⡄⠀⠀⠀⠀⠀⠀⠀⠀⣖⣀⠈⠉⠀⠀⠀⠀⢤⣄⠃⠀⢸⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⣟⡦⢤⡟⠛⠛⠛⠛⠋⠉⠉⠉⠉⠉⠉⠉⠉⠀⠈⢐⠉⠉⡥⣆⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠈⣯⢡⠀⠈⠿⠿⠿⠿⠿⢿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣆⢰⠀⠀⠀⠀⣠⣴⡂⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣬⣭⣭⣼⣷⣤⣤⣿⣭⣿⣷⣶⣶⣶⣷⣶⣶⣶⣶⣿⣦⣤⣴⣶⣥⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣿⣆⣸⣀⣀⡤⢾⣿⠿⠁⠀⠈⠁⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠉⠙⣻⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⣶⡇⠀⠀⠀⠀⠀⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣐⣐⣒⣂⡀⠀⠀⠀⠀⠀⠠⢀⣀⡀⠀⠀⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠯⠤⠀⠀⠀⠀⠈⢸⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⡀⠀⠀⠀⠀⢙⣿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠈⠉⠉⠀⠁⣈⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣽⣖⠀⠀⠀⠈⣭⣭⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⢲⠾⠿⣶⣶⣶⣶⣶⣿⣺⣿⣋⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⡀⠀⠀⠘⠛⠂⠀⠀⠀⠀⠀⠀⠐⢿⣿⣷⠀⠀⠀⠀⠀⢩⡿⠿⠿⠿⠿⠿⠿⠧⠀⠆⠰⣶⣶⣶⣶⣿⣿⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⣀⡀⠀⠀⢰⣿⣿⡆⠀⠀⣤⣄⣀⡀⠀⠀⠀⠀⠀⣠⣄⣤⣴⣶⣴⣾⣿⣽⣛⣀⣀⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠥⠬⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠉⠉⠉⠁⠀⠈⠉⠉⠉⠉⠉⠁⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠈⠉⠉⠉⠉⠉⠁⢻⣿⣯⠉⠉⠉⠉⠉⠉⠉⠉

⠛⠻⢻⠂⢛⣛⡿⡿⣿⠿⠿⠛⠛⣿⣿⣿⣿⣿⣿⠿⠿⣿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠁⠀⠹⠀⢸⣝⠖⠙⠛⠀⠐⠛⢻⣿⣿⠏⡍⣉⡃⠀⡀⠃⠈⠊⠑⠉⢘⠃⠀⠍⣁⣿⣿⠩⠥⠧⢸⠐⠷⠂⠿⠿⠞⣿⠇⠀⠗⠋⢹⣿⣏⣓⡎⠁⢀⣧⠂⣶⣯⡿⣿⡏⠉⠭⠉⠙⡏⠗⠄⠸⣛⣛⣛⣟⣫⣭⣩⠿

⡒⠒⠓⡃⠺⣯⣥⡀⠀⠀⠀⠀⢸⣿⡏⠦⠗⢻⣿⣻⣇⣀⢀⣀⡄⡀⢸⠀⣠⢀⠻⣿⣿⠀⢤⡀⢸⠀⠀⠀⢸⠀⠁⣿⠾⠿⠤⢀⡈⢿⣿⡄⡀⠈⡇⠀⠀⡇⠀⣀⣀⣀⣀⠀⠀⠀⠸⢹⣯⣶⣾⣿⣿⣿⣿⣿⣿⣿

⠃⡤⠄⡆⣴⡿⡟⣿⣿⣏⣴⣤⠀⠾⢿⣿⣾⣿⢿⢽⣿⣿⣿⠛⠛⣿⣾⣿⣿⢿⣾⣬⣼⣞⢻⣿⣾⣽⣄⣀⠸⠀⠠⡇⢀⢠⣂⣼⣷⣾⣽⣍⣇⣤⣿⣦⣼⣿⣴⣿⣶⣆⣤⣀⣿⡁⣄⣀⣿⣿⣛⠿⡿⠿⠿⢿⢿⣿

⣄⠤⠤⡇⣿⣿⣍⣿⣿⣿⣿⣿⣷⠄⠻⠻⢻⣿⣶⠶⢿⣿⡿⢉⣁⣾⣿⣿⢿⡻⢸⢍⡉⠩⢇⣽⣿⣿⣿⣿⣤⣤⣐⡇⠁⠨⠃⣿⣿⢿⣯⣿⣿⣭⣿⣟⠝⣻⣿⣿⣿⣿⣟⣿⣯⣿⣮⣿⣿⣾⣏⠻⠟⣟⣳⡿⢫⣿

⣠⠄⢤⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⡆⠀⠂⠘⠛⠈⠼⢷⢲⣿⠿⣿⣤⢿⡷⣸⣹⡞⢀⠀⠀⠸⣅⠿⣿⣿⣽⣿⣿⢰⠀⠀⢰⣿⡿⠦⠄⠼⠟⢻⡟⠛⠗⣿⡟⠻⣇⡀⠈⠉⢙⠛⠛⠿⠿⢿⣿⣾⣿⣿⣿⣷⣿⣿

⠤⡥⢭⣤⣥⣍⠹⠊⠛⠛⠛⠘⠛⠠⠠⡀⢁⠀⠀⠀⢀⣼⣾⣿⣶⣿⣻⣯⢀⣞⡚⠁⣥⣤⡤⠠⣦⠥⡜⠛⠿⠿⠿⡺⠗⠄⠀⢼⣤⣄⠀⢰⠀⠘⣧⢄⠸⠉⠓⠘⠃⠂⠀⠨⠧⠼⠠⠶⠀⠤⠤⠈⠭⠍⣿⣿⣿⡿

⢆⣭⡀⢸⣿⣿⠠⠤⠤⠤⡄⠀⠐⠀⠀⠈⠉⢀⣤⣤⣸⣿⣿⣿⣿⣿⠿⢿⣦⡗⣷⢀⠁⠄⠁⠀⠀⠀⠈⡐⠄⠀⠀⡆⠀⠀⠰⣿⣿⣿⣿⣽⢸⡗⡯⠮⠄⠀⠀⠀⠀⠁⠂⡇⣿⣿⡟⡍⡯⢉⢻⣿⡷⢸⣿⣿⣿⡏

⣾⣶⡒⣿⡟⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣜⣒⣒⠐⣿⣿⠀⠀⠀⠀⠀⠀⠀⠑⡀⠀⠀⡀⠀⠀⣸⣷⢽⣿⣿⡿⣿⣿⣷⣄⣀⠀⠀⠀⠉⠀⠀⠁⣿⣿⣧⣔⣉⣢⣾⣿⡇⢸⣿⣿⡛⠿

⠽⠿⠿⠿⠿⠿⠀⠀⠀⠀⠁⠀⢀⣠⣶⣿⣧⣿⡿⢿⣿⡿⢋⣿⣉⢁⣉⣈⣙⡧⡷⡯⠤⢤⡤⠤⠄⠠⠤⠤⠽⣀⡀⡁⠀⢠⣿⡿⣿⣿⣿⡇⠿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠿⠤⠯⠼⠧⠼⢿⣦⡇⢸⣿⣿⣿⠒

⠁⠁⣀⡀⠀⠀⠀⠀⠀⠀⢉⣴⣿⣿⣿⣿⣿⢏⣠⢄⣼⣿⣿⣿⣇⣼⣿⣙⣛⡁⣇⠓⡖⠂⠀⣠⠀⠀⠀⣔⡒⠛⠢⣄⡀⠀⣨⣿⣿⣿⠟⡇⣷⡎⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⢀⠀⠄⠀⠀⠀⠀⠀⠸⣿⢽⡍⠀

⠳⠆⠀⠠⠐⠒⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣯⣴⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠁⡏⡆⠧⠔⠒⠒⢒⡒⣒⣒⣒⠒⠒⠛⠂⠀⠘⠙⠚⠋⣾⠇⣿⡇⣼⣿⣿⣿⣿⣿⠀⠀⠀⠠⠤⠼⠤⠄⢐⡄⠀⠀⠀⠀⠏⡾⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠻⣿⠿⠿⠿⠿⠣⠖⣁⠀⣧⡇⠁⠀⢀⠄⢁⢂⠾⠦⠡⠈⢢⠀⢴⢤⣤⠀⠀⠘⠿⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢊⡤⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣶⣤⡀⠈⠈⠀⠀⢿⢿⣐⡏⣿⡇⠀⠘⡉⠹⣩⠿⢯⡉⠉⡸⠀⣮⢂⣤⠀⠀⢠⡄⢸⣿⣿⠛⠟⢹⣾⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠁⠀⠐⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠵⠼⠴⠝⠊⠀⠀⠀⠀⠀⠐⠒⠂⡀⢠⡝⠃⠀⣿⣦⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣀⡀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣆⠀⠀⠀⠀⠀⡀⢀⠀⢀⣁⣉⣋⣫⡭⠿⠿⠟⠉⠿⠭⠉⠉⠁⠀⠀⠐⠆⢰⣾⡇⠀⠀⠹⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣯⣽⣷⣦⣄⣀⣀⣿⣿⣿⣿⣷⣀⣈⣉⣉⣻⣿⣿⣿⣿⣟⣻⣟⣿⣿⣿⡇⠘⠀⢸⠟⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠄⣧⠰⣔⢶⣾⡿⠝⡇⠀⠀⠀⣴⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⣤⣄⣀

⠿⠴⠒⠊⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣶⣶⣶⣶⣶⣶⣾⣶⣿⣿⣿⣿⣀⣀⡀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿

⡀⠠⢄⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣶⣤⣽⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠈⠙⠛⠛⠛⠛⠛⠻⠿⠛⠛⠛⠛⠛⠛⠛⠻⢿⣿⣿⣿⣿⣿⡿⣛⣛⡛⣛⣛⠛⣛⣛⣛⡛⣛⣛⠻⣛⣛⣿⣿⢟⣛⣛⢛⣛⣛⢛⣛⣛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⠿⠇⢹⣿⡆⣿⡿⠀⠁⢸⣿⣿⢸⣿⡇⢸⣿⣿⠀⠉⠉⠉⠙⠛⠋⠉⠛⠛⠛⠛⠛⠻⠛⠻⠿⠿⣿⣿⣿⣿⣷⣮⡛⠿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣶⣿⣿⠀⣿⣿⣤⡄⠈⣿⣿⣿⠇⠀⠀⢸⣿⣿⣾⣿⡇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠒

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣛⡂⠀⠀⣰⣶⣶⣾⣿⣿⣿⣿⠀⣿⣿⡍⣿⣿⠀⣿⣿⠛⢣⡄⢸⣿⡟⢰⣶⠀⢸⣿⣿⢹⣿⡇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡻⠏⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⡀⣿⣿⡇⣿⣿⠀⣿⣿⣶⣶⠁⢸⣿⡇⠘⠛⠀⢸⣿⣿⢸⣿⡇⢸⣿⣿⢸⣿⣇⠀⢠⣤⣼⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⢛⡻⠦⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣷⣭⣭⣤⠉⠉⣤⣭⣭⠉⠉⠒⠊⠉⠑⠛⠃⠀⠈⠉⠉⡈⠉⣁⣈⠍⠉⠘⢿⡏⠀⢸⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡇⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢻⠿⠻⠠⡄⠀⠀⠀⠀⠀⠀⠀⠀⣖⣀⠈⠉⠀⠀⠀⠀⢤⣔⠁⠀⢸⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⣝⡶⢀⠟⠛⠛⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠐⠦⠄⡤⣆⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠈⣯⢡⠀⠈⠿⠿⠿⠿⠿⢿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣶⣴⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣬⣶⣶⣴⣷⣤⣤⣿⣭⣿⣷⣶⣶⣶⣷⣶⣶⣶⣶⣿⣦⣤⣴⣶⣥⣤⣤⣠⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⢠⣿⡿⠏⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⣿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⣫⡤⠒⠛⠉⠛⠃⠀⠀⠀⠀⠤⢤⠤⢤⠤⠤⠤⣶⣧⠤⠤⠄⠀⠀⠀⢿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣀⣀⣀⣀⣀⣀⣀⣈⡁⠀⠀⠀⠀⠀⠀⢀⣠⡀⠀⠘⠛⠋⠉⠀⠀⠠⣤⣤⠀⠀⠀⠀⠀⠉⠉⠉⠉⠁⠈⠉⠛⠟⠉⠀⠀⠀⠀⠀⢸⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀

⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⢘⣿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢻⣿⣿⠀⠀⠀⠀⠈⢀⣄⠉⠉⠉⠉⠉⢉⠁⣈⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣇⠀⠀⠀⢨⣽⡥⠀⠀⠀⠀⠀⠀⢘⣯⣄⣀⣤⡄⠀⠀⣾⣿⣿⣿⠀⠀⠀⠀⢺⠿⠿⣶⣶⣶⣶⣿⣿⣻⣿⣋⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠙⠓⠀⠀⠀⠀⠀⠀⠐⠺⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⡆⠀⠀⠀⠀⢩⡿⠿⠿⠿⠿⠿⠿⠧⠀⠆⢺⣿⣿⣿⣿⣿⣿⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣀⣀⠀⠀⠀⣴⣿⣿⣶⣶⣦⣤⣈⣉⠁⠀⠀⠀⣿⣿⣿⣿⣧⠀⠀⣠⣴⣨⣤⣼⣿⣶⣾⣾⣿⣽⣷⣀⣠⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠤⠭⠭⠭⠭⠭⠭⠍⠉⠉⠉⠉⠁⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠈⠉⠉⠉⠉⠉⠁⢻⣿⣯⠉⠉⠉⠉⠉⠉⠉⠉

[39A⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣻⣻⣿⣿⣭⣽⣷⣾⣿⣿⣿⣿

⠛⠻⢻⡃⢛⣛⡿⡿⣿⠿⠿⠛⢿⣿⣿⣿⣿⣿⣿⠿⠿⣿⠿⣿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠁⠀⠹⡂⢸⣝⠖⠙⠛⠀⠐⠛⢻⣿⣿⠏⡍⣉⡃⠀⡀⠇⠈⠊⠑⠋⢘⠃⠀⠍⣉⣿⣿⠩⠥⠧⢸⠰⠷⠃⠿⠿⠾⣿⠗⠀⠗⠋⢹⣶⣞⣛⡏⠁⢀⣷⠂⣾⣯⡿⣿⡏⠉⠭⠉⠹⡇⡇⠜⠛⣛⣛⣛⣏⣭⣹⣿⠿

⡒⠒⠓⡇⠺⣯⣥⣄⠀⠀⠀⠀⢼⣿⡏⠦⠗⢻⣿⣻⣇⣀⠀⢠⡄⡀⢸⠀⣨⣄⠻⣿⣿⠀⣦⡀⢸⠀⠀⠀⢸⠀⠁⣿⠾⠿⠤⢀⡈⢿⣿⡄⡀⠈⡇⠀⠀⣇⠀⣀⣀⣀⣀⠀⠀⠀⠸⢲⣦⣾⣾⣿⣿⣿⣿⣿⣿⣿

⠃⡤⠄⡆⣼⡿⡟⣿⣿⣌⣮⣦⡀⠞⣿⣿⣿⣿⢿⢽⣿⣿⣷⣿⡟⣿⣾⣿⣿⢿⣼⣬⣼⣞⢻⣿⣾⣧⣄⣀⠸⠀⠠⡇⢀⢠⣂⣼⣷⣾⣽⣍⣇⣤⣿⣦⡰⣿⣴⣷⣶⣆⣠⣀⣿⡅⣄⡀⣿⣿⣟⠿⠿⠿⠿⣿⠿⣿

⣄⠤⠤⡇⣿⣿⣭⣿⣿⣿⣿⣿⣿⠌⠹⠻⢻⣿⣶⠾⢿⣿⣿⣿⣷⡿⢿⣿⣯⠻⢸⢍⡉⠩⣇⣽⣿⣿⣿⣿⣧⣔⣐⡇⠁⠨⠃⣿⣿⢿⣿⣿⣿⣭⣿⣿⡝⢻⣿⣿⡿⣿⣟⣿⣿⣿⣮⣷⣾⣿⣯⠻⠏⣟⣻⡿⣳⣿

⣠⠄⢤⡇⣿⣿⣿⢿⣿⣿⣿⣿⡿⠂⡆⠀⠂⠘⠋⠉⠼⢻⢣⣿⣿⣿⡾⢿⡳⣨⣹⡞⢀⠀⢀⠸⣍⠿⣿⣿⣿⣿⣿⢹⠀⠀⣴⣿⡿⠦⠄⠼⠟⢻⡟⠋⠕⢸⡿⠛⡿⣦⣈⠉⠙⡛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣷⣿⣿

⢤⡥⢭⣤⣬⣍⠹⠈⠛⠛⠛⠘⠛⠠⠠⡀⢁⠀⠀⠀⢀⣼⣾⣿⣤⣾⣷⣌⢃⣞⡚⠁⣥⣤⡤⠠⣦⠥⡝⠛⠿⠿⠿⡺⠗⠄⠀⣼⣤⣀⠀⢰⠀⠘⣧⢄⠈⠟⠛⠀⠃⠃⠀⠨⠧⠼⠤⠀⠰⠠⠤⠈⡭⢍⣿⣿⣿⡿

⢆⣭⡀⢸⣿⣿⠠⠤⠤⠤⡄⠀⠐⠀⠀⠈⠉⠀⣀⣠⣾⣿⣿⣿⣿⣿⢿⣆⣑⠟⣷⢀⠁⠄⠁⠀⠀⠐⠈⡐⠄⠀⠀⡆⠀⠀⢰⣿⣿⣿⣿⣿⢸⡗⡯⠮⠄⠀⠀⠀⠀⠁⠂⡇⣿⣿⡟⡍⡿⢉⢻⣿⡿⢸⣿⣿⣿⣿

⣾⣶⡒⣿⡟⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣷⠒⣿⣿⠀⠀⠀⠀⠀⢀⠀⠑⡀⠀⠀⡂⠀⠀⣼⣷⣽⣿⣿⡿⣷⣄⠀⠀⠀⠀⠀⠀⠉⠀⠀⠁⣿⣿⣧⣔⣉⣢⣾⣿⡇⢸⣿⣿⣿⡟

⠿⠿⠿⠿⠿⠿⠀⠀⠀⠀⠁⠀⠀⣠⣴⣿⣯⣽⣿⣿⣿⣿⣿⠛⡛⢃⣙⣛⣇⡤⡷⡯⠤⢤⡤⠤⠄⠠⠤⠤⢽⣀⡀⣁⠀⢰⣿⡿⣿⣿⣿⡇⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠿⠤⠿⠼⠧⠼⢿⣦⡇⢸⣿⣿⣿⠳

⠁⠁⣀⡀⠀⠀⠀⠀⠀⠀⢉⣴⣿⣿⣿⣿⣿⠟⢁⢈⣹⣿⣿⣿⢁⣼⣿⣛⣛⡁⣇⠓⡖⠂⠒⣠⠀⠀⠀⣔⡖⠛⠢⣄⡀⠀⣫⣷⣿⣿⡭⡇⢻⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⢀⠀⠄⠀⠀⠀⠀⠀⠐⣿⢿⡆⠀

⠳⠆⠀⠰⠐⠒⠐⠀⠀⢀⣾⣿⣿⣿⣿⣿⣯⣴⣶⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠁⡏⡆⠧⢔⠒⠒⢒⡒⣒⣒⣒⠒⠒⠛⠂⠀⠘⠓⠟⠋⣾⢃⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠠⠤⠼⠤⠄⢐⡤⠀⠀⠀⠐⢃⡿⠄⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⢻⣿⠟⠛⠛⠛⠃⠾⢃⠠⣧⡇⠁⠀⢀⠄⢁⢂⠾⠦⠡⠈⢢⠀⢴⢤⣤⠀⠀⠘⠿⢸⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣣⣼⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⡅⠀⠈⠈⠁⠀⢿⢿⣐⡟⣿⡇⠀⠘⡉⠹⣩⡿⢯⡉⠉⡹⠀⣮⢂⣤⠀⠀⢠⡄⢸⣿⡿⢻⢋⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣟⠈⠀⠀⠂⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠵⠼⠴⠝⠊⠀⠀⠀⠀⠀⠐⢒⠂⡀⠨⠻⠀⣾⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⠿⣿⣿⣿⣿⣿⣟⢿⣿⣦⣆⡀⠀⠀⠀⠀⡀⢀⠀⢀⣀⣉⣉⣭⠿⠻⠛⠛⠋⠛⠍⠉⠉⠉⠀⠀⠰⠀⢰⣤⠆⠀⢻⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣤⣤⣤⣤⣤⣄⣀⣀⣿⣿⣿⣿⣦⣀⣙⣛⣛⣻⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⡇⠘⠀⢸⢿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⣧⠰⣔⢶⣾⡿⠝⡇⠀⠀⣽⣿⣿⣿⢿⡏⠀⠀⠀⣀⣶⣾⣿⣿⣿⣿⣷⣆⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣧⣄⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣀⡀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠉⣁⠔⠻

⠛⠛⠛⠛⠛⠛⠛⠛⠛⠿⠿⠿⠟⠛⠛⠛⠛⠛⠛⢛⣿⣿⣿⣿⣿⡿⣛⣛⡛⣛⣛⠛⣛⣛⣛⡛⣛⣛⠻⣛⣛⣿⣿⢟⣛⣛⢛⣛⣛⢛⣛⣛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠀⠀⠰⣾⣶

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⠿⠇⢹⣿⡆⣿⡿⠀⠁⢸⣿⣿⢸⣿⡇⢸⣿⣿⠀⠉⠉⠋⠉⠙⠋⠉⠛⠛⠛⠛⠛⠛⠛⠻⠿⠿⣭⡙⠻⢶⡄⠀⠉⠉

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⣿⣿⠀⣿⣿⣥⡄⠈⣿⣿⣿⠇⠀⠀⢸⣿⣿⣾⣿⡇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠻⢶

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣛⡃⠈⠀⣰⣶⣶⣾⣿⣿⣿⣿⠁⣿⣿⡍⣿⣿⠀⣿⣿⡟⢣⡄⢸⣿⡟⢰⣶⠀⢸⣿⣿⢹⣿⡇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣟⡿⢏⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⡀⣿⣿⡇⣿⣿⠀⣿⣿⣶⣶⠁⢸⣿⡇⠘⠛⠀⢸⣿⣿⢸⣿⡇⢸⣿⣿⢸⣿⣇⠀⢠⣤⣼⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⣛⡿⢷⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣷⣭⣭⣥⠉⠉⣤⣭⣭⠉⠉⠚⠊⠉⠑⠛⠁⠀⠈⠉⠉⡈⠉⣁⣨⠍⠉⠈⣿⡏⠀⢸⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡃⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠻⡋⠙⡠⡄⠀⠀⠀⠀⠀⠀⠀⠀⣖⣀⠈⠉⠀⠀⠀⠀⢤⣜⡅⠀⢸⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢋⡛⠧⢤⡿⠛⠛⠛⠛⠋⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⣉⣉⡥⣇⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠈⣯⢡⠀⠈⠿⠿⠿⠿⠿⢿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⣀⣄⠀⠀⠀⠀⠀⢰⠄⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⢠⣤⣤⣤⣶⣷⣵⣷⣤⣤⣿⣭⣿⣷⣶⣶⣶⣷⣶⣶⣶⣶⣿⣦⣤⣴⣶⣥⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀

⠀⠀⡀⠀⢠⣾⠿⠁⠀⠀⠁⠀⠀⠀⠀⠀⣤⡄⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⢰⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⣺⣥⡶⠞⠛⠛⠛⠋⠉⠁⠀⠀⠀⠁⠀⠀⠠⠌⣭⣭⣴⣴⣤⢤⣤⣾⣷⣆⠄⠀⢂⣀⣀⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈

⣀⣀⠀⠀⠀⠀⠀⠀⢀⣠⡄⠀⠈⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⡀⠀⠀⠐⠐⠒⠒⠒⠒⠒⠂⠀⠛⠟⠂⠀⠀⠀⠀⠂⢺⢿⠐⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀

⣿⠏⣀⡀⠀⠀⠀⢈⣿⡏⠁⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠈⠙⣻⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⠉⠁⠉⠀⣈⣀⣄⣏⣩⣉⣽⣋⣫⡇⣨⣽⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⠾⢿

⣿⣿⣷⣶⡄⠀⠀⢨⣽⡭⠀⠀⠀⠀⠀⠀⢙⣿⣅⣀⣤⣶⣾⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⡁⠀⠀⠀⢺⠿⠿⣿⣿⣿⣿⣿⣿⣻⣿⣋⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⡀⠀⠀⠛⠻⠀⠀⠀⠀⠀⠀⠐⠺⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⡆⠀⠀⢀⣀⣩⡿⠿⠿⠿⠿⠿⠿⠧⠀⠆⢰⣶⣶⣷⣶⣿⣿⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣴⣶

⣿⣿⣿⣿⣿⣤⣀⣀⠀⠀⠰⣾⣿⣿⣷⣶⣶⣤⣌⣙⣀⣰⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⡀⢐⣏⣉⣹⣯⣽⣿⣷⣾⣿⣿⣿⣿⣀⣈⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠭⠭⠭⠭⠤⠬⠥⠤⠤⠤⠬⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠍⠉⠉⠉⠁⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠈⠉⠉⠉⠉⠉⠁⢻⣿⣯⠉⠉⠉⠉⠉⠉⠉⠉

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣻⣻⣿⣿⣭⣽⣷⣾⣿⣿⣿⣿

⠛⠻⢻⡃⢛⣛⡿⡿⣿⠿⠿⡿⢿⣿⣿⣿⣿⣿⣿⠿⠿⣿⠿⢿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠁⠀⠹⠂⢸⣝⠖⠙⠛⠀⠐⠛⢻⣿⣿⠏⡍⣉⡃⠀⡀⠇⠈⠊⠑⠋⢘⠃⠀⠍⣁⣿⣿⠩⠥⠧⢸⠰⠷⠂⠿⠿⠾⣿⠗⠀⠗⠋⢰⣶⣏⣛⡇⠁⢀⣿⠂⣾⣯⡿⣿⡏⠉⠭⠉⠱⣦⠇⠟⠻⣛⣛⣁⣥⣽⣿⣿⠍

⡒⠒⠓⡇⠺⣉⣥⣄⠀⠀⠀⠀⢼⣿⡏⠦⠗⢻⡟⣻⣧⣀⠀⢠⣄⡀⢸⠀⣠⣄⠻⣿⣿⢀⣤⡀⢸⠀⠀⠀⢸⠀⠁⣿⠾⠿⠤⢀⡈⢿⣿⡄⡀⠈⡇⠀⠀⣇⠀⣀⣀⣀⣀⠀⠀⠀⠸⢠⣤⣾⣾⣷⣿⣿⣿⣿⣿⣿

⠃⡤⠄⡆⣐⡿⡟⣿⣿⣌⣮⣤⡀⠜⣿⣿⣿⣿⢿⢿⣿⣿⣧⣿⣿⣿⣾⣿⣿⣷⣼⣬⣼⣜⢻⣿⣿⣄⣀⡀⠸⠀⠠⡇⢀⢠⣂⣼⣷⣾⣽⣍⣇⣴⣽⢦⣔⢿⣴⣷⣶⣆⣠⣀⣿⠁⣀⣀⢿⣿⣟⠿⠿⠿⠿⢿⠿⢿

⣄⠤⠤⡇⣿⣿⣍⣹⣿⣿⣷⣿⣿⡎⠹⠻⢻⣿⣶⠶⢿⣿⣿⣿⣿⡿⢿⢿⣿⠻⢸⢍⡉⠉⢇⣽⣿⣿⣿⣿⣤⣴⣒⠇⠁⠨⠃⣿⣿⢿⣿⣿⣿⢭⣿⣿⠝⢻⣿⣿⣿⣿⣞⣿⣯⣿⣾⣩⣾⣿⣿⡼⠏⣰⢷⣿⢷⣿

⣀⠄⢤⡇⣿⣿⣿⢻⣿⣿⣿⣷⠹⡇⡆⠀⠂⠙⠋⠈⠼⢛⣢⣿⣿⣿⡾⢿⠽⣪⣹⡞⢀⠀⢀⠸⣍⢿⣿⣿⣟⣿⣿⢸⢠⣾⣿⣿⡿⠦⠄⠼⠟⢺⡟⠋⠃⣿⡟⠛⢷⣄⠉⠉⢙⡛⠛⡿⠿⢿⣿⣿⣿⣿⣴⣿⣿⣿

⢤⡥⢭⣥⣬⣍⠹⠀⠛⠛⠛⠘⠘⠳⠠⡀⢁⠀⠀⠀⣠⣴⣿⣿⣏⣩⣿⣮⠷⣚⡚⠁⣥⢤⡤⠠⣦⠥⡝⠛⠿⠿⠿⡺⠗⠍⠿⣿⣤⣄⠀⢰⠀⠘⣧⢄⠈⠟⠓⠘⠃⠂⠀⠨⠣⠼⠤⠤⠢⠠⠤⠈⠭⢍⣿⣿⣿⡷

⢆⣭⡀⢸⣿⣿⠠⠤⠤⠤⡄⠀⠐⠀⠀⠈⠉⠀⣀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣕⠟⣷⢀⠁⠄⠁⠀⠀⠐⠈⡐⠄⠀⠀⡇⠀⠀⢾⣿⣿⣿⣿⣿⢼⡗⡯⠮⠄⠀⠀⠀⠀⠁⠂⡇⣿⣿⡟⡍⡿⢉⢻⣿⡷⢸⣿⣿⣿⣯

⣾⣶⡒⣿⡟⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣐⣻⣿⡖⣿⣿⠀⠀⠀⠀⠀⢀⠀⠑⡀⠀⠀⡂⠀⠀⣿⣷⣿⣿⣿⡿⣶⣄⠀⠀⠀⠀⠀⠀⠉⠀⠀⠁⣿⣿⣧⣔⣉⣢⣾⣿⡇⢸⣿⣿⣿⠻

⠽⠿⠿⠿⠿⠿⠀⠀⠀⠀⠁⠀⢀⣠⣴⣿⣯⣿⣿⣿⣿⡿⣯⠟⠻⢃⣙⣋⣟⡤⡷⡯⠤⢤⡤⠤⠄⠠⠤⠤⢽⣀⡀⣁⠀⢸⣿⡿⣿⣿⣿⡇⣿⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠿⠤⠿⠼⠧⠼⢿⣦⡇⢸⣿⣿⣿⠲

⠁⠁⣀⡀⠀⠀⠀⠀⠀⠀⢉⣴⣿⣿⣿⣿⣿⢏⢀⢀⣽⣿⣿⣇⢀⣼⣿⣛⣛⡁⣇⠓⡖⠂⠒⣠⠀⠀⠀⣄⡒⠛⠢⣄⡀⠀⣩⣽⣿⣿⢍⡇⡻⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⢀⠀⠄⠀⠀⠀⠀⠀⠒⣿⣳⡆⠀

⠳⠆⠀⠰⠐⠒⠐⠀⠀⢠⣾⣿⣿⣿⣿⣿⣯⣴⣶⣿⣿⣿⣿⡿⢿⠿⠿⠿⠿⠁⡏⡆⠧⢔⠒⠒⢒⡒⣒⣒⣒⠒⠒⠛⠂⠀⠉⠓⠙⠁⣾⢃⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠠⠤⠼⠤⠄⢐⡤⠀⠀⠀⠀⢃⠿⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠒⠂⠼⢃⠀⣧⡇⠁⠀⢀⠄⢁⢂⠾⠦⠡⠈⢢⠀⢴⢤⣤⠀⠀⠚⠿⢸⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠫⡌⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣼⣶⡌⠉⠛⠛⠋⠙⢿⢿⣐⡟⣿⡇⠀⠘⡉⠹⣩⡿⢯⡉⠉⡸⠀⣮⢂⣤⠀⠀⢠⡆⢸⣿⡿⣹⣁⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠁⠀⠀⠀⣀⡀⠁⠀⠀⠀⠀⠀⠀⠀⠈⠒⠵⠼⠴⠝⠊⠀⠀⠀⠀⠀⠐⠒⠂⡀⠰⠝⠁⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡟⠿⢿⣿⣿⣿⣿⣻⣧⣄⣀⠀⠀⠀⠀⠀⡀⢀⠀⢀⣀⣉⣩⠽⠟⠛⠛⠛⠋⠛⠉⠉⠉⠉⠀⠀⠰⡀⢰⣀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣤⣤⣤⣤⣤⣄⣀⣰⣿⣿⣿⣿⣷⣄⣀⣉⣙⣛⣻⣷⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⠀⢸⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠰⣔⢶⣾⣿⠝⡇⠀⢠⣼⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⢋⣛⣒⣦⣤⡀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠀⠀⢰⣶⣄⠉⠉⠓⠦⠄⠀

⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⠿⠻⠛⠛⠛⠛⠛⠛⠛⢛⣿⣿⣿⣿⣿⡿⣛⣛⡛⣛⣛⠛⣛⣛⣛⡛⣛⣛⠻⣛⣛⣿⣿⢟⣛⣛⢛⣛⣛⢛⣛⣛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⢿⣷⡄⠈⠛⠻⠿⠶⠀⠀⠀⠐

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⣿⣿⠀⣿⣿⠿⠇⢹⣿⡆⣿⡿⠀⠁⢸⣿⣿⢸⣿⡇⢸⣿⣿⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠛⠂⠈⠛⠷⣦⣤⣈⣀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⣿⣿⠀⣿⣿⣤⡄⠈⣿⣿⣿⠇⠀⠀⢸⣿⣿⣾⣿⡇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⠶⠶⠞

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣋⡃⠙⠀⣰⣶⣶⣾⣿⣿⣿⣿⠀⣿⣿⡍⣿⣿⠀⣿⣿⠛⢃⡄⢸⣿⡟⢰⣶⠀⢸⣿⣿⢹⣿⡇⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣟⡿⠁⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⡀⣿⣿⡇⣿⣿⠀⣿⣿⣶⣶⠁⢸⣿⡇⠘⠋⠀⢸⣿⣿⢸⣿⡇⢸⣿⣿⢸⣿⣇⠀⢠⣤⣼⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠟⣹⡟⠷⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣷⣭⣭⣤⠉⠉⣤⣭⣭⠉⠉⠚⠊⠉⠁⠘⠀⠀⠈⠉⠉⡈⠉⣁⣈⠍⠉⠀⡿⡟⠀⢸⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢻⣦⣈⡠⠄⠀⠀⠀⠀⠀⠀⠀⠀⣖⣀⠈⠉⠀⠀⠀⠀⢤⣔⡇⠀⢸⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢸⣯⣿⠧⢤⡿⠛⠛⠛⠛⠋⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⢀⣤⣄⡭⣇⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠈⣯⢡⠀⠈⠿⠿⠿⠿⠿⢿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣶⢰⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣤⣤⣦⣵⣷⣤⣤⣿⣭⣿⣷⣶⣶⣶⣷⣶⣶⣶⣶⣿⣦⣤⣴⣶⣥⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀

⠏⠀⠐⠊⠀⠀⠀⠀⠀⢀⣀⠟⠂⠀⠘⠁⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀

⠀⠀⠀⠀⠀⠀⠀⠐⣚⣭⣶⠾⠛⠛⠛⠛⠛⠛⠛⢿⣿⣿⠀⠀⠀⠀⠀⠀⠁⠀⠀⢈⣈⣉⣻⣒⣒⣒⣐⣒⣾⣷⣒⠀⠀⠒⢒⣒⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⡀⠀⠀⠀⠀

⠀⢀⣠⡄⠀⠀⠛⠛⠛⠋⠀⠀⠀⠀⢀⣀⣐⣒⣀⣀⣀⣀⣠⣄⣠⣤⣤⣤⡀⠀⠀⠐⠒⠒⠒⠒⠒⠀⠀⠀⠛⠟⠤⠀⠀⠀⠠⠬⢹⢿⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠠⠀⠀⠀⠀

⢈⣿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⡉⠉⠉⠉⣩⣀⣄⣿⣽⣯⣽⣿⣯⡇⣈⣽⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣶⡶⠿⢿⡿⠶⠤⢀⣀⠀

⢨⣿⠏⠀⠀⠀⠀⠀⠀⢙⣿⣭⣁⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⡉⠀⠀⠀⢺⠿⠿⣿⣿⣿⣿⣿⣿⣻⣿⣋⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣿⣿⣿⣿⣿⡅⠈⠉⠀⠀⠈⠁⠀⠀⠀⠀⠀

⠀⠻⠗⠀⠀⠀⠀⠀⠀⠐⠺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⡆⠀⠀⢀⢀⣩⡿⠿⠿⠿⠿⠿⠿⠧⠀⠦⢰⣷⣾⣿⣿⣿⣿⠀⠀⢀⣿⣿⣿⣿⣿⣧⣤⣤⣤⣶⣦⣤⣴⣶⣶⣦⣤

⡀⠀⠀⢰⣿⣿⣿⣿⣶⣶⣤⣌⣁⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣀⣰⣿⣩⣹⣭⣽⣿⣷⣾⣿⣿⣿⣿⣀⣈⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠤⠤⠤⠭⠥⠤⠥⠤⠬⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠍⠉⠉⠉⠁⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠈⠉⠉⠉⠉⠉⠁⢻⣿⣯⠉⠉⠉⠉⠉⠉⠉⠉

⠛⠻⢻⡃⢛⣛⡿⡿⣿⠿⠿⡿⢿⣿⣿⣿⣿⣿⣿⠿⠿⣿⠿⣿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠃⠀⠹⠂⢸⣟⠖⠙⠛⠀⠐⠛⢻⣿⣿⠏⡍⣉⡃⠀⡀⠇⠈⠊⠑⠋⢘⠃⠀⠍⣉⣿⣿⠩⠥⠧⢸⠰⠷⠂⠿⠿⠾⣿⠗⠀⠗⠋⢰⣶⣟⣛⡏⠁⢀⣿⠂⣾⣯⡿⣿⡏⠉⠭⠉⠱⣦⠇⠟⠻⣛⣻⣁⣥⣽⣿⣿⠍

⡒⠒⠓⡇⠺⣉⣥⣄⠀⠀⠀⠀⢼⣿⡏⢦⠗⢻⡟⣻⣧⣀⠀⢠⣄⡀⢸⠀⣨⣄⠻⣿⣿⢀⣤⡀⢸⠀⠀⠀⢸⠀⠁⣿⠾⠿⠤⢀⡈⢿⣿⡄⡀⠈⡇⠀⠀⣇⠀⣀⣀⣀⣀⠀⠀⠀⠸⢠⣤⣾⣾⣿⣿⣿⣿⣿⣿⣿

⠃⡤⠄⡆⣰⡿⡟⣿⣿⣌⣯⣤⡀⠞⣿⣿⣿⣿⢿⢿⣿⣿⣧⣿⣿⣿⣾⣿⣿⣷⣼⣬⣼⣜⢻⣿⣿⣄⣀⡀⠸⠀⠠⡇⢀⢠⣃⣼⣷⣾⣽⣍⣇⣴⣽⢦⣴⢿⣴⣷⣶⣆⣠⣄⣿⠁⣦⣀⢿⣿⣟⠿⠿⠿⠿⢿⠿⢿

⣄⠤⠤⡇⣿⣿⣍⣹⣿⣿⣷⣿⣿⡏⠹⠻⢻⣿⣶⠶⢿⣿⣿⣿⣿⡿⢿⢿⣿⠻⢸⢍⡉⠉⣇⣽⣿⣿⣿⣿⣤⣴⣒⡇⠁⠨⠃⣿⣿⢿⣿⣿⣿⢭⣿⣿⠝⢻⣿⣿⣿⣿⣞⣿⣯⣿⣾⣩⣾⣿⣿⡼⠏⣰⢷⣿⢷⣿

⣀⡄⢤⡇⣿⣿⣿⢻⣿⣿⣿⣷⠹⡇⡆⠀⠂⠙⠋⠈⠼⢛⣢⣿⣿⣿⡾⢿⠽⣪⣹⡞⢀⠀⢀⠸⣍⣿⣿⣿⣟⣿⣿⢸⢠⣾⣿⣿⡿⠦⠄⢼⠿⢺⡟⠋⠃⣿⣿⠛⢷⣄⠉⠉⢙⡛⠛⡿⠿⢿⣿⣿⣿⣿⣴⣿⣿⣿

⢤⡥⢭⣥⣬⣍⠹⠀⠛⠛⠛⠘⠘⠳⠠⡀⢁⠀⠀⠀⣠⣴⣿⣿⣏⣩⣿⣮⠷⣚⡚⠁⣥⣤⣤⠠⣦⠥⡝⠛⠿⠿⠿⡺⠗⠍⠿⣿⣥⣄⠀⢰⠀⠘⣧⢄⠈⠟⠓⠘⠃⠂⠀⠨⠧⠼⠤⠤⠢⠠⠤⠈⠭⢍⣿⣿⣿⡷

⢆⣭⡀⢸⣿⣿⠠⠤⠤⠤⡄⠀⠐⠀⠀⠈⠉⠀⣀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣕⠟⣷⢀⠑⠄⠁⠀⠀⠐⠈⡐⠄⠀⠀⡇⠀⠀⣾⣿⣿⣿⣿⣿⢼⡗⡯⠮⠄⠀⠀⠀⠀⠁⠂⡇⣿⣿⡟⡍⡿⢉⢻⣿⡿⢸⣿⣿⣿⣯

⣾⣶⡖⣿⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣐⣻⣿⡖⣿⣿⠀⠀⠀⠀⠀⢀⠀⠑⡀⠀⠀⡂⠀⠀⣿⣷⣿⣿⣿⡿⣶⣄⠀⠀⠀⠀⠀⠀⠉⠀⠀⠁⣿⣿⣧⣔⣉⣢⣾⣿⡇⢸⣿⣿⣿⠻

⠿⠿⠿⠿⠿⠿⠀⠀⠀⠀⠁⠀⢀⣠⣴⣿⣯⣿⣿⣿⣿⡿⣯⠟⠻⢃⣙⣋⣟⡤⣷⡯⠤⢤⡤⠤⠄⠠⠤⠤⢽⣀⡀⣁⠀⢸⣿⡿⣿⣿⣿⡇⣿⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠿⠤⠿⠼⠧⠼⢿⣦⡇⢸⣿⣿⣿⠲

⠁⠁⣀⡀⠀⠀⠀⠀⠀⠀⢉⣴⣿⣿⣿⣿⣿⢏⢀⢀⣽⣿⣿⣇⢀⣼⣿⣛⣛⡁⣇⠓⡖⠒⠒⣲⠀⠀⠀⣔⡖⠛⠢⣄⡀⠀⣩⣽⣿⣿⢍⡇⡻⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⢀⠀⠄⠀⠀⠀⠀⠀⠒⣿⣷⡆⠀

⠳⠆⠀⠰⠒⠒⠐⠀⠀⢠⣾⣿⣿⣿⣿⣿⣯⣴⣶⣿⣿⣿⣿⡿⢿⠿⠿⠿⠿⠁⡏⡆⠧⢔⠒⠒⢒⡒⣒⣒⣒⠒⠒⠛⠂⠀⠉⠓⠙⠁⣾⢃⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠠⠤⠼⠤⠄⢐⡤⡀⠀⠀⠐⢃⠿⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣼⣶⡌⠉⠛⠛⠋⠙⠿⠿⠐⠟⠿⠇⠀⠘⠉⠙⠩⠿⠯⠉⠉⡹⠀⠮⠂⠤⠀⠀⠀⠂⢸⣿⡿⣿⣁⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⣶⣶⡆⣶⣶⠀⣶⣶⣶⡆⢶⣶⡄⣶⣶⠈⠀⢰⣶⣶⢰⣶⡖⢰⣶⣶⠈⠁⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡟⠿⢿⣿⣿⣿⣿⣻⣧⣄⣀⠀⠀⠀⣿⣿⣃⣿⣿⠀⣿⣿⡂⠀⠘⣿⣧⣿⡇⠀⠁⢸⣿⣿⣸⣿⡇⢸⣿⣿⠀⠀⢻⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣤⣤⣤⣤⣤⣄⣀⣰⣿⣿⣿⣿⣷⣄⣀⣉⣛⣛⣻⣷⣿⣿⣿⣿⣿⠀⣿⣿⡿⣿⣿⠀⣿⣿⠿⠇⠀⢻⣿⡿⠀⠀⠀⢸⣿⣿⢿⣿⡇⢸⣿⣿⠀⠀⢠⣼⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⡇⣿⣿⠀⣿⣿⣇⣘⠓⢸⣿⡇⢸⣿⣷⢸⣿⣿⢸⣿⡇⢸⣿⣿⢰⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⢋⣛⣒⣦⣤⡀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣛⣛⣃⣛⣛⣀⣛⣛⣛⣛⣴⣜⣛⣃⣾⣿⣿⣜⣛⣛⣘⣛⣓⣘⣛⣛⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠀⠀⢰⣶⣄⠉⠉⠓⠦⠄⠀

⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⠿⠻⠟⠛⠛⠛⠛⠛⠛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⢿⣷⡄⠈⠛⠻⠿⠶⠀⠀⠀⠐

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠛⠂⠉⠻⠷⣦⣤⣈⣀⠀⠀⠀⠄

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⠶⠶⠞

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣛⡃⠙⠀⣰⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣶⡆⣶⣶⣶⣶⣶⣶⣶⠐⣶⣶⣆⣀⣒⣲⠄⢦⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣟⡿⠉⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⡟⠃⣛⣛⣛⣛⣛⡛⠋⢀⣘⡛⠛⠘⠛⢛⡹⠼⡛⣿⣿⣇⠀⢠⣤⣼⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠟⣹⡿⠷⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣾⣿⣿⠇⠻⠟⠻⠟⠛⠛⠀⠈⠙⠃⠉⡉⠉⣁⣠⠜⠀⠀⡿⡟⠀⢸⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢿⣦⣈⡠⡄⠀⠀⠀⠀⠀⠀⠀⠀⣖⣀⠈⠉⠀⠀⠀⠀⢤⣔⡇⠀⢸⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢸⣯⣿⠧⢤⡿⠛⠛⠛⠛⠋⠋⠉⠉⠉⠉⠉⠉⠉⠀⠀⢀⣤⣄⡭⣇⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠈⣯⢡⠀⠈⠿⠿⠿⠿⠿⢿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠏⠀⠐⠊⠀⠀⠀⠀⠀⣀⣀⠟⠂⠀⠘⠁⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀

⠀⠀⠀⠀⠀⠀⠀⠐⣚⣭⣶⠾⠛⠛⠛⠛⠛⠛⠛⢿⣿⣿⠀⠀⠀⠀⠀⠀⠁⠀⠀⢈⣈⣙⣻⣒⣒⣒⡐⣒⣾⣷⣒⠀⠀⠒⢒⣒⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⡀⠀⠀⠀⠀

⠀⢀⣠⡄⠀⠈⠛⠛⠛⠋⠀⠀⠀⠀⢀⣀⣐⣒⣀⣀⣀⣀⣠⣤⣤⣤⣤⣤⡀⠀⠀⠐⠒⠒⠒⠒⠒⠀⠀⠀⠛⠟⠤⠀⠀⠀⠠⠭⢹⢿⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠠⠈⠀⠀⠀

⢈⣿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⡍⠉⠉⠉⣩⣀⣄⣿⣿⣿⣽⣿⣯⡇⣨⣽⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣶⡶⠿⢿⡿⠶⠤⢀⣀⠀

⢨⣿⠏⠀⠀⠀⠀⠀⠀⢙⣿⣭⣁⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⡉⠀⠀⠀⢺⠿⠿⣿⣿⣿⣿⣿⣿⣻⣿⣋⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⣿⣿⣿⣿⣿⡅⠈⠉⠀⠀⠈⠁⠀⠀⠀⠀⠀

⠈⠻⠗⠀⠀⠀⠀⠀⠀⠐⠺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⡆⠀⠀⣀⢀⣩⡿⠿⠿⠿⠿⠿⠿⠧⠀⠦⢲⣿⣾⣿⣿⣿⣿⠀⠀⢀⣿⣿⣿⣿⣿⣧⣄⣤⣤⣶⣦⣤⣴⣶⣶⣦⣤

⡀⠀⠀⢰⣿⣿⣿⣿⣶⣶⣤⣌⣁⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣀⣸⣿⣩⣿⣯⣽⣿⣶⣾⣿⣿⣿⣿⣀⣘⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠤⠤⠤⠭⠥⠭⠥⠥⠬⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠍⠉⠉⠉⠁⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠈⠉⠉⠉⠉⠉⠁⢻⣿⣯⠩⠉⠉⠉⠉⠉⠉⠉

⠛⠻⢻⡃⢛⣛⡿⡿⣿⠿⠿⡿⢿⣿⣿⣿⣿⣿⣿⠿⠿⣿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠁⠀⠹⠂⢸⣟⠖⠙⠛⠀⠐⠛⢻⣿⣿⠏⡍⣉⡃⠀⡀⠇⠈⠊⠑⠋⢘⠃⠀⠍⣁⣿⣿⠩⠥⠧⢸⠰⠷⠃⠿⠿⠾⣿⠗⠀⠗⠂⢰⣿⣏⣓⡇⠁⢀⣿⠂⣾⣯⡿⣿⡏⠉⠭⠉⠙⣄⣟⠛⠻⣛⣨⣄⣟⣻⣿⣭⠍

⡒⠒⠓⡇⠺⣏⣥⣄⠀⠀⠀⠀⢼⣿⡏⠦⠗⢻⡟⢻⣧⣀⠀⢠⠄⡀⢸⢀⣬⣀⠻⣿⣿⠀⣤⡀⢸⠀⠀⠀⢸⠀⠁⣿⠾⠿⠤⢀⡈⢿⣿⡄⡀⠈⡇⠀⢀⢇⠀⣀⣀⣀⣀⢀⠀⠀⠹⢃⣀⣺⣾⣿⣿⣿⣿⣿⣿⣿

⠃⡤⠄⡆⣰⡿⡿⣿⣶⣈⣮⣤⣐⠘⣷⣿⣿⣿⢿⢟⣿⣿⡇⠛⣿⣿⣿⣿⡿⣷⣼⣬⣼⣌⢻⣿⣿⣤⣀⡀⠸⠀⠠⡇⢀⢠⣃⣼⣷⣾⣽⣍⣇⣴⣿⢆⣾⣾⣴⣷⣶⣆⣠⣄⣿⡁⢀⡀⠿⣿⣿⠿⠿⠿⠿⠿⠿⣿

⣄⠤⠤⡇⣿⣿⣍⣽⣿⣿⣦⣽⣿⡗⠻⠻⢻⣿⣶⠶⢿⣿⣿⠩⣿⣿⣿⣿⣿⠻⢸⢉⡉⠉⢇⣽⣿⣿⣿⣧⣀⣴⣤⡇⠁⠨⠃⣿⣿⢿⣿⣿⣿⣯⣿⣿⢝⣿⡿⣻⣿⣿⣜⣿⣯⣽⣾⣵⡔⣿⣿⣿⠏⢰⢶⣿⣿⣿

⣀⠄⢤⡇⣿⣿⣿⣻⣿⣿⣿⣿⠈⣿⡆⠀⠂⠙⡛⠈⠼⢛⣲⣾⣿⣿⣷⢿⠽⣨⣹⡞⢀⠀⢀⠸⣏⢿⣿⣿⣧⣹⣿⢸⡀⠀⠀⣿⡿⠦⠄⠼⠿⢻⡟⠛⢻⡿⡟⣿⡇⡠⠈⠉⢙⠛⠛⡿⠿⢿⣿⣿⣿⣿⣼⣿⣿⣿

⢤⡥⢭⣥⣭⣍⠹⠚⠛⠛⠛⠘⠀⠻⠢⡀⢁⠀⠀⠀⢀⣴⣾⣿⣏⣽⣿⣮⣓⣜⡚⠁⣥⣤⡤⠠⣦⠥⡝⠛⠿⠿⣿⣼⣿⣆⡀⣹⣴⣄⠀⢰⠀⠘⣧⢄⠸⠙⠂⠈⠓⠀⠒⠨⠧⠼⠤⠀⠀⠠⠤⠈⠭⠍⢻⣿⣿⡿

⢆⣭⡀⢸⣿⣿⠠⠤⠤⠤⡄⠀⠐⠀⠀⠈⠉⢀⣠⣤⣿⣿⣿⣿⣿⣿⢿⣯⣕⠖⣷⢀⠁⠄⠁⠀⠀⠐⠈⡐⠄⠀⠀⡛⣿⣿⣿⢿⣿⣿⣿⣿⢸⡗⡯⠮⠄⠀⠀⠀⠀⠁⠂⡇⣿⣿⡟⡍⡿⢉⢻⣿⡿⢀⣿⣿⣿⣿

⣾⣶⡒⣿⡟⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⣜⡿⢏⡑⣿⣿⠀⠀⠀⠀⠀⢀⠀⠑⡀⠀⠀⣡⣿⣿⣿⣷⣿⣿⣿⡿⣶⣶⣦⣄⡀⠀⠀⠀⠉⠀⠀⠁⣿⣿⣧⣔⣉⣢⣾⣿⡇⢸⣿⣿⣛⣻

⠿⠿⠿⠿⠿⠿⠀⠀⠀⠀⠁⠀⣀⣤⣾⣿⣷⣿⢿⣿⣿⢿⡾⠿⠿⢡⣉⣃⡀⠡⡷⡯⠤⢤⡤⠤⠄⠠⠤⠤⢽⣀⡀⣿⣿⣿⣿⣿⣿⣿⣿⡇⡿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠿⠤⠿⠼⠧⠼⢿⣦⡇⢸⣿⣿⡿⠳

⠁⠁⣀⡀⠀⠀⠀⠀⠀⠀⣩⣾⣿⣿⣿⣿⡿⢁⡠⢀⣿⣿⣿⡄⢁⣿⣿⣙⣛⡁⣇⠓⡖⠂⠒⣠⠀⠀⠀⣔⡖⠛⠢⡝⠛⠲⡿⣿⣿⡿⢻⡇⣶⡎⢿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⢀⠀⠄⠀⠀⠀⠀⠀⠸⢻⢭⠍⠀

⠳⠆⠀⠰⠐⠒⠐⠀⠀⣰⣿⣿⣿⣿⣿⣿⣧⣾⣿⣿⣿⡻⠿⠿⠸⠿⠿⠿⠿⠁⡏⡆⠧⢔⠒⠒⢒⡒⣒⣒⣒⠒⠒⠛⠂⠀⠉⠁⠁⢸⣿⢃⣿⠆⢸⣿⣿⣿⣿⣿⣧⠀⠀⠠⠤⠼⠤⠄⢐⡤⠀⠀⠀⠘⠎⡼⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠒⠂⠼⢃⠀⣧⡇⠁⠀⢀⠄⢁⢂⠾⠦⠡⠈⢢⠀⢴⢤⣤⠀⠔⠻⣿⢸⣿⢀⣾⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⡡⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣭⢝⠇⠀⠈⠉⠉⠙⠻⠿⠘⠟⠿⠇⠀⠘⠉⠙⠩⠿⠯⠉⠉⡹⠀⠮⠂⠤⠀⠀⠀⠂⢸⣿⣾⣿⡿⡿⣹⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⠀⠀⠀⠀⠐⠀⣶⣶⡆⣶⣶⠀⣶⣶⣶⡆⢶⣶⡄⣶⣶⠈⠀⢰⣶⣶⢰⣶⡆⢰⣶⣶⠀⠙⠿⣰⣦⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣦⠀⣀⠀⠉⠀⣿⣿⣃⣿⣿⠀⣿⣿⡂⠀⠘⣿⣧⣿⡇⠀⠀⢸⣿⣿⣸⣿⡇⢸⣿⣿⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣤⣤⣤⣤⣤⣄⣀⣸⣿⣿⣿⣿⣆⣈⣛⣛⣛⣻⣿⣿⣿⣾⣿⣿⡶⠀⣿⣿⡿⣿⣿⠀⣿⣿⠿⠇⠀⢻⣿⡿⠀⠀⠀⢸⣿⣿⢿⣿⡇⢸⣿⣿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡶⠶⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⡇⣿⣿⠀⣿⣿⣇⣘⠓⢸⣿⡇⢸⣿⣷⢸⣿⣿⢸⣿⡇⢸⣿⣿⢰⣾⣿⣿⣿⣿⣿⡟⠉⠡⠶⣾⣍⠙⠛⠳⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣛⣛⣃⣛⣛⣀⣛⣛⣛⣛⣴⣜⣛⣃⣾⣿⣿⣜⣛⣛⣘⣛⣓⣘⣛⣛⣼⣿⣿⣿⣿⣿⣿⣄⠀⠀⢴⣿⣿⣿⣦⡀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀

⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⠿⠻⠛⠛⠛⠛⠛⠛⢛⣻⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⡀⠉⠉⠭⠅⠀⠀⠀⣀⣨⣿⣿⣿⣶⣶

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠻⠿⠷⣶⣶⣤⣤⣶⣾⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠻

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣍⡁⠉⠀⣰⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⡆⣷⣶⣶⣶⣶⣶⣶⠀⣶⣶⣆⣀⣒⣲⠄⢦⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⡻⠁⠀⢉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⡟⠃⢛⣛⣛⣛⣛⠛⠁⠀⣘⡛⠛⠈⠉⣀⡠⠼⡛⣿⣿⣇⠀⢠⣤⣼⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢏⣹⠛⠶⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢈⠜⠿⠃⠛⠛⠛⠉⠉⠉⠀⠀⠙⠃⠉⡉⠉⣀⣠⠜⠀⠈⣻⡟⠀⢸⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠻⡷⡖⡠⡄⠀⠀⠀⠀⠀⠀⠀⠀⣖⣀⠀⠉⠀⠀⠀⠀⣤⣜⡇⠀⢸⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⣿⠧⢤⡿⠛⠛⠛⠛⠋⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠛⣟⡭⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⣯⣱⠀⠈⠿⠿⠿⠿⠿⢿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡘⣿⣶⢰⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣤⣭⣯⣵⣷⣤⣤⣼⣭⣿⣷⣶⣶⣶⣷⣶⣶⣶⣶⣾⣦⣤⣤⣶⣦⣤⣤⣤⣤⣀⡀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⢀⠀⠀⠀⠀⠚⠀⠀⠺⣇⣸⣀⣀⣤⣄⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣀⣚⣯⣵⣶⠿⠛⠛⠻⠛⠻⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠁⠀⠀⢐⢒⣒⣺⣒⣲⡖⠒⠒⣾⣷⡦⠄⠀⠄⠶⠶⢾⣷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠛⠛⠛⠃⠀⠀⠀⠀⣀⣀⣀⣐⣐⣒⣒⣒⣒⣒⣀⣀⣀⣀⣠⣤⣤⣤⣤⣤⡀⠀⠀⠀⠉⠉⠋⠉⠭⠍⠉⠉⠻⠿⠉⠁⠀⠈⠉⠍⢹⣿⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀

⠀⠐⠂⢀⡀⠀⠀⠀⠀⠀⣉⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⡏⣉⡉⠉⣹⣇⣄⣿⣿⣿⣿⣿⣿⣇⣈⣽⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣷⣶⠶⠿⣿⡷⠦⠄⢀⣀⠀⠀⠀⠀⠈⠓⠀

⠀⠀⢉⣿⣯⣉⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⡏⠁⠀⠀⢺⡿⠿⢿⣿⣿⣿⣿⣿⡯⣿⣋⣻⣿⣿⣿⣿⣿⣿⠇⠀⠀⠉⠉⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠐⠚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⡇⠀⠀⢀⣀⣩⣿⠿⠿⠿⠟⠿⠿⠿⠀⠄⢐⣿⡷⢾⣿⣿⣿⠀⠀⠀⣀⣤⣴⣦⣤⣤⣶⣶⣤⣤⣀⠀⠀⠀⠀⠀⠀

⣿⣷⣶⣤⣌⣁⣀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⡀⣀⣙⣉⣿⣯⣴⣿⣶⣾⣯⣿⣭⣯⣀⣈⣿⣿⣿⣿⣿⣿⠀⠀⢰⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣤⣀⡀⠀⠀⠀

⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠉⠉⠉⠉⠉⠁⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠈⠉⠉⠉⠉⠉⠁⢹⣿⣯⠉⠉⠉⠉⠉⠉⠉⠀

⠛⠻⢻⡃⢛⣛⡿⡿⣿⠿⠿⡿⢿⣿⣿⣿⣿⣿⣿⠿⠿⣿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠁⠀⠹⡂⢸⣟⠖⠙⠛⠀⠐⠛⢻⣿⣿⠏⡍⣉⡃⠀⡀⠇⠈⠊⠑⠋⢘⠃⠀⠍⣉⣿⣿⠩⠥⠧⢸⠰⠷⠃⠿⠿⠾⣿⠗⠀⠖⠊⢹⣿⣏⣓⡏⠁⢀⣿⠂⣾⣯⡿⣿⡏⢉⠭⠉⠹⡏⠟⠟⠻⣄⣠⣛⣟⣯⣭⣭⠿

⡒⠒⠓⡇⠺⣏⣥⣄⠀⠀⠀⠀⢼⣿⡏⠦⠗⢻⡟⢻⣇⣀⠀⢠⠄⡀⢸⢀⣬⣀⠻⣿⣿⠀⣄⡄⢸⠀⠀⠀⢸⠀⠁⣿⠾⠿⠤⢀⡈⢿⣿⡄⡀⠈⡇⠀⢀⢇⠀⣀⣀⣀⣀⠀⠀⠀⠸⠫⠉⢲⣾⣿⣿⣿⣿⣿⣿⣿

⠃⡤⠄⡆⣔⡿⡿⣿⣷⣌⣮⣤⣐⠘⢷⣿⣿⣿⢿⢞⣿⣿⡇⠛⠛⣿⣾⣿⣿⣷⣼⣬⣼⣄⢻⣿⣿⣤⣀⠀⠸⠀⠤⡇⢀⢠⣃⣴⣷⣾⣽⣍⣇⣴⣿⣄⣟⣼⣶⣷⣶⡂⣠⣄⣿⣥⢤⠀⠿⣿⣿⡿⠿⠿⠿⢿⢿⣿

⣄⠤⠤⡇⣿⣯⣭⣿⣿⣿⣷⡌⣿⡗⠻⠻⢻⣿⣶⠶⢿⣿⣿⠉⣱⣿⣿⣿⣿⠻⢸⢉⣉⠉⢆⣽⢿⣿⣿⣷⣀⣴⣴⡇⠁⠨⠃⣿⣿⢿⣿⣿⣿⣿⣿⣿⠝⣿⣿⣻⣿⣿⣜⣿⣿⣾⣾⣦⠂⣾⣿⣿⡏⢰⠾⣷⣿⣿

⣠⡄⢤⡇⣿⣿⣿⣿⣿⣿⣿⣷⠀⣿⡆⠀⠂⠙⡛⠈⠼⢛⣢⣾⣿⣿⡿⢾⠩⣫⣸⡞⢀⠀⢀⠸⣏⢿⣿⣿⣿⣹⣿⢸⡀⠀⠀⣿⡿⠦⠄⠌⠿⢿⡟⠛⢻⣿⡟⣯⡇⡀⠈⡉⢙⡛⡛⡿⠾⢿⣿⣿⣿⣿⣾⣿⣿⣼

⢤⡥⢭⣥⣬⣍⠹⠘⠛⠛⠛⠘⠀⠻⠣⡀⢁⠀⠀⠀⢀⣠⣾⣾⣉⣿⣿⣦⢓⣼⡚⠁⣥⣤⡤⠠⣦⠥⡝⢛⣿⣿⠿⡻⠗⠄⠀⣹⣶⣄⠀⢰⠀⠘⣧⢄⠸⠉⠉⠉⠑⠁⠒⠸⠇⠼⠤⠀⠀⠠⠤⠈⠭⠍⢛⣿⣿⣿

⢆⣭⡀⢸⣿⣿⠠⠤⠤⠤⡄⠀⠐⠀⠀⠈⢉⣀⣀⣠⣿⣿⣿⣿⣿⣿⢿⣿⣵⡗⣷⢀⠁⠄⠁⠀⠀⠐⠈⡘⠿⠿⣿⣽⣷⡀⠸⢿⣿⣿⣿⣿⢼⡗⡯⠮⠄⠀⠀⠀⠀⠁⠂⡇⣿⣿⡟⡍⡿⢉⢻⣿⡿⢀⢸⣿⣿⣿

⣾⣶⡖⣿⡟⢻⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣔⡻⠟⠓⣿⣿⠀⠀⠀⠀⠀⢀⠀⠑⣤⢀⡿⣿⣿⣿⣄⠀⢿⣿⣿⡿⣶⣤⣀⡀⠀⠀⠀⠀⠉⠀⠀⠁⣿⣿⣧⣔⣉⣢⣾⣿⡇⢸⣿⣿⣿⣿

⠿⠿⠿⠿⠿⠿⠀⠀⠀⠀⠁⢀⣠⣶⣿⣧⣿⡿⣿⣿⡿⣫⡵⠿⠿⢃⣉⡃⠀⠡⡷⡯⠤⢤⡤⠤⠄⠠⠤⠤⢽⣳⠅⣿⣿⣿⣿⣷⣾⣿⣿⡇⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠿⠤⠿⠼⠧⠼⣿⣦⡇⢸⣿⣿⡿⠳

⠁⠁⣀⡀⠀⠀⠀⠀⠀⢀⣽⣿⣿⣿⣿⡿⢇⣠⢄⣽⣿⣿⣷⣭⢁⣼⣿⣛⣛⡁⣇⠓⡖⠂⠒⣠⠀⠀⠀⣔⡖⠛⠢⣟⡛⠩⣿⣿⣿⡿⣻⡇⣯⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⢀⠀⠄⠀⠀⠀⠀⠀⠀⢿⡿⠂⠀

⠳⠆⠀⠰⠐⠒⠐⠀⢠⣿⣿⣿⣿⣿⣿⣯⣼⣾⣿⡿⣿⡻⢿⣿⠸⠿⠿⠿⠿⠁⡏⡆⠧⢔⠒⠒⢒⡒⣒⣒⣒⠒⠒⠛⠂⠈⠙⠊⠉⢰⣿⢡⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠠⠤⠼⠤⠄⢐⡤⡀⠀⠀⠀⠀⢰⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⢻⣿⠄⠀⠀⠒⠂⠼⢃⠀⣧⡇⠁⠀⢀⠄⢁⢂⠾⠦⠡⠈⢢⠀⢴⢤⣤⠀⠐⢻⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡡⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⣦⡅⠀⠈⠉⠉⠙⠻⠿⠘⠟⠿⠇⠀⠘⠉⠙⠩⠿⠯⠉⠉⡸⠀⠮⠂⠤⠀⠀⠰⠇⠸⣿⣿⡿⠟⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣩⠁⠠⠄⠐⠒⠀⣶⣶⡆⣶⣶⠀⣶⣶⣶⡆⢶⣶⡄⣶⣶⠈⠀⢰⣶⣶⢰⣶⡆⢰⣶⣶⠈⠻⢀⣰⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡛⠿⣿⣿⣿⣿⣿⣻⣿⣤⠀⣀⠀⠉⠀⣿⣿⣃⣿⣿⠀⣿⣿⡂⠀⠘⣿⣧⣿⡇⠀⠁⢸⣿⣿⣸⣿⡇⢸⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣤⣤⣤⣤⣤⣀⣀⣿⣿⣿⣿⣿⣄⣀⣉⣉⣛⣻⣷⣻⣿⣿⣿⣿⡶⠀⣿⣿⡿⣿⣿⠀⣿⣿⠿⠇⠀⢻⣿⡿⠀⠀⠀⢸⣿⣿⢿⣿⡇⢸⣿⣿⢸⡄⠈⢛⣿⢿⣿⣿⣯⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⡇⣿⣿⠀⣿⣿⣇⣘⠓⢸⣿⡇⢸⣿⣷⢸⣿⣿⢸⣿⡇⢸⣿⣿⠘⠛⠒⠾⢧⣄⡈⠛⠛⠙⠒⠠⣄⣀⣀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣛⣛⣃⣛⣛⣀⣛⣛⣛⣛⣴⣜⣛⣃⣾⣿⣿⣜⣛⣛⣘⡛⢓⡘⠛⠛⠀⠱⣶⣾⣿⣿⣿⠆⠀⠀⢀⡀⣸⣿⣷⣿⣷⣤⣤⣀⣀⡀⠀⠀⠀⠀

⠙⠛⠛⠛⠛⠛⠛⠛⠛⠻⠿⠻⠛⠛⠛⠛⠛⠛⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⣀⠉⠉⠉⠁⢐⣂⣀⣀⣡⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠻⠿⠿⠿⠛⠛⠛⠉⠉⠉⠉⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠉⠝⠛⠻

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣯⣙⡾⠃⠀⣰⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⡆⣿⣿⣶⣶⣶⣶⢶⠀⣶⣶⣆⣀⠒⠒⠄⢦⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⡫⢄⠀⢉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⡟⡃⢛⣛⣛⡛⠛⠋⠀⠀⣈⡉⠁⠂⠀⣀⡱⠽⡛⣿⣿⣇⠀⢠⣤⣼⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣉⣽⠻⠇⠐⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣈⣐⣛⠃⠛⠛⠃⠐⠀⠀⠀⠈⠙⠃⠉⡉⠉⣁⣀⠼⠀⠈⣿⡟⠀⢸⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣏⡀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢻⣿⣿⠠⡄⠀⠀⠀⠀⠀⠀⠀⠀⣖⣀⠀⠉⠀⠀⠀⠀⣤⠜⡇⠀⢸⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣭⡿⠷⠶⠿⠛⠛⠛⠛⠋⠋⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠻⡿⡭⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⣇⠁⠀⠈⠿⠿⠿⠿⠿⢿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣷⣶⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣤⣿⣿⣵⣷⣤⣤⣽⣭⣿⣷⣶⣶⣶⣷⣶⣶⣶⣶⣿⣦⣤⣤⣶⣦⣤⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⣀⡠⠶⠒⢀⣀⣀⣀⣀⣀⣿⣇⣸⣀⣀⣤⣄⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣄⠀⠀

⠶⣶⣦⣤⣴⣌⣭⡍⠉⠉⠛⠛⠛⢛⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠁⠀⠀⠀⠶⠶⢾⣶⢶⡦⢤⠤⣾⣷⡦⠤⠤⡤⠤⠤⣿⣷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠒⠶⠀

⠀⠈⠉⠁⠉⢉⣙⣀⣀⣀⣀⣐⣀⣒⣒⣒⣒⣒⣀⣀⣀⣀⣠⣤⣠⣤⣤⣤⡀⠀⠀⠈⠉⠉⠉⠉⠩⠍⠉⠛⠻⠟⠋⠁⠀⠐⠐⠒⢹⢿⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠈⠀⠀⠀⠀

⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣝⣭⡛⣹⣇⣄⣿⣿⣿⣭⣭⣉⡍⣈⣹⣿⡿⠏⢀⡀⠰⠾⠇⠀⠀⠤⠄⣀⠀⠀⠀⠀⠀⠓⠂⠀⠀⠀⠀⠀⠀⢠

⣀⣀⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⡏⡉⠉⠈⢺⡿⠿⢿⣿⣿⣿⣿⣿⡯⣿⣋⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⠀⠀⠀⠈

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⡆⠀⠀⣀⣀⣩⣿⠿⠿⠿⠟⠿⠿⠿⠀⠄⠀⣀⠀⠀⡀⢠⣤⠀⠀⠀⣶⣦⣤⣄⠀⠀⠀⠀⠀⠀⠈⠀⣀⣤⣶⣶⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⡀⣀⣙⣋⣿⣿⣴⣿⣖⣾⣿⣯⣭⣯⣀⣘⣿⣿⣿⣿⣿⣿⠀⠀⢰⣿⣿⣿⣿⣧⡀⡀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿

⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠭⠍⠉⠉⠉⠁⠀⠀⠉⠉⠉⠉⠉⠁⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠈⠉⠉⠉⠉⠉⠁⢻⣿⣇⠀⠀⠀⠉⠉⠉⠉⠉

                ䷩ 𝚕𝚒𝚗𝚎 1702

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

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

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,

            # ⚓ 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

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

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

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

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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